\documentclass{article}
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/input mapleok.input}
\author{Timothy Daly}
\maketitle
\begin{abstract}
A set of test results that fail for Maple was published as a database
on the web by Vladimir Bondarenko. We looked at these equations in
detail, redesigned and rewrote them for OpenAxiom where the equations
could be applied, and ran them thru the OpenAxiom system. These are the
set of results that give answers in OpenAxiom along with a summary of
the tests.
\end{abstract}
\eject
\tableofcontents
\eject
\section{Result}

I've been working for some time to construct a Computer Algebra
Test Suite (CATS). The idea came about because it is clear that
there is a lack of time and attention on cross-platform testing.
We should have available a range of problems with associated
math theory and verified results that every computer algebra
system can use for testing purposes. To this end I've been 
collecting test suites from various computer algebra systems and
running them thru OpenAxiom. The lastest collection is the Maple bug
list posted by Vladimir. 

Of course there is no common syntax and so one of the problems
is that every integral has to be hand-written to match the likely
semantics of the original. This is a time consuming effort.
pFurthermore there is no general mechanism for collecting results
(although I have been looking at automating regression testing
in OpenAxiom) so result collection and summary are also hand operations.
Nevertheless, the process has completed the first phase of testing
and I've attached some summary statistics. Detailed results will
be included with the next release of OpenAxiom.

For the next phase I've built a special purpose version of OpenAxiom
with instrumentation in all of the integration routines. I plan to
classify each integral and associate it with the code as part of
the literate documentation. This will give us a basis for finding
bugs and corner cases. It will also give us working regression
test cases.


\subsection{Breakdown by category}

There were 4865 integrals tested. Of these

\begin{itemize}
\item (5     0.10\%) Missing Functions
\item (1206 24.78\%) Undefined Special Functions or untranslated functions
\item (84    1.72\%) Mismatched signatures of existing functions
\item (158   3.25\%) Badly Behaved Integrals
\item (7     0.14\%) OpenAxiom Internal Errors
\item (279   5.73\%) Risch Algorithm Boundary Cases
\item (2331 47.91\%) Failed results
\item (490  10.07\%) Successful Results
\item (305   6.27\%) Indeterminate Results
\end{itemize}

Of the 4865 integrals the first three cases would not run. That
leaves 3570 tests. Of these there were 3097 (73.38\%) integrals 
that had a potential pole in the path of integration making them
rather more difficult to compute.

We further break down the results. The number in parentheses is
the number of integrals of this class. One observation is that a
large number of these integrals involve the signum function. OpenAxiom
does not have an integrable form of this function. Frankly, I'm not
sure how to integrate functions involving signum. It is hardly a
surprise that Maple gets these wrong.

On some of the functions I've given example integrals that exhibit
the behavior of their category.

OpenAxiom has a robust implementation of the Risch algorithm done by
Barry Trager and Manuel Bronstein. Still, there are some corner
cases that are not implemented. We collected these under a
separate category so they will be useful for people who want to
investigate extending the algorithms. It is hardly a surprise that
Maple finds these hard to do.

These tests have uncovered 3 internal errors involving a total of
6 of the integrals. These will be investigated and fixed in a future
release.

Testing continues on the results that did not complete. Raising the
maximum time limit to 10 minutes has generated additional results.


\subsection{Missing Functions}

These are apparently bogus function names. 

\begin{itemize}
\item (1) f 
\item (1) op
\item (1) product
\item (2) elt
\end{itemize}

\subsection{Undefined Special Functions or Untranslated Functions}

Maple has these functios in different forms than OpenAxiom. Some of the special
functions have equivalent OpenAxiom representations but Maple is much stronger
in special functions. OpenAxiom has single-argument forms of some of these
functions but the translations were not clear.

\begin{itemize}
\item (2) airyAi -- 2 argument form
\item (1) airyBi -- 2 argument form
\item (2) argument
\item (57) atan -- 2 argument form
\item (26) ceil 
\item (2) chebyshevT -- with fractional first argument
\item (1) chebyshevU -- with fractional first argument
\item (5) conjugate
\item (8) Chi
\item (78) csgn 
\item (19) Dirac
\item (11) Ei
\item (2) EllipticE 
\item (9) EllipticK 
\item (4) EllipticPi 
\item (1) erfc 
\item (23) floor
\item (3) frac
\item (30) FresnelC
\item (3) Fresnelf
\item (1) Fresnelg
\item (26) FresnelS
\item (3) GegenbauerC 
\item (6) HankelH1
\item (8) HankelH2 
\item (22) Heaviside 
\item (2) hermiteH -- with fractional first argument
\item (1) hypergeom 
\item (4) KelvinKei
\item (4) KelvinKer 
\item (4) KummerU 
\item (3) LambertW 
\item (2) legendreP -- having 3 arguments
\item (4) LegendreQ 
\item (15) LerchPhi 
\item (2) MeijerG 
\item (31) polylog 
\item (34) Psi
\item (1) Re 
\item (1) RootOf 
\item (25) round 
\item (2) Shi 
\item (3) Ssi 
\item (669) signum
\item (11) StruveH
\item (10) StruveL 
\item (12) trunc
\item (13) Zeta 
\end{itemize}

\subsection{Mismatched Signatures Of Existing Functions}

OpenAxiom's integration routines return a Union of several types. 
In order to use the result in various other operations one branch
of the Union needs to be chosen. I have not done that here so these
are listed as though they were special functions with a missing
signature.

\begin{itemize}
\item (1) +
\item (7) *
\item (1) /
\item (1) log
\item (73) integrate
\item (1) abs
\end{itemize}


\subsection{Badly Behaved Integrals}

\begin{itemize}
\item (158) integrate: pole in path of integration
\end{itemize}

\begin{verbatim}
integrate(legendreP(0, z)/(z^2+3*z), z= 0..3,"noPole")
\end{verbatim}


\subsection{OpenAxiom Internal Errors}

\begin{itemize}
\item (1) internal error
\end{itemize}

\begin{verbatim}
   >> Error detected within library code:
   (construct (= left 0) (= right 2))
   is not a valid isolation interval for
   (+ (+ (- (** ? 4)) (* 2 (** ? 2))) -1)
\end{verbatim}

\begin{verbatim}
in961:=integrate(log(z-1)*z/(z^2-1)^2, z= 1..%plusInfinity)
\end{verbatim}


\begin{itemize}
\item (4) Cannot take first of an empty list
\end{itemize}

\begin{verbatim}
integrate(sin(z)*csc(z)*(1-1/(%i*z)^(1/2))^(1/2), z= 0..1,"noPole")
\end{verbatim}


\begin{itemize}
\item (2) The function * with signature hashcode is missing from domain 
         Polynomial(OrderedCompletion (Integer)) 
\end{itemize}

\begin{verbatim}
integrate(a^z, z= 0..I*%plusInfinity)
integrate((1*z-3)/(2+(0*z-4)^2), z= %minusInfinity..1+I*%plusInfinity)
\end{verbatim}


\subsection{(279) Risch Algorithm Boundary Cases}

\begin{itemize}
\item (3) PFO::possibleOrder: more than 1 algebraic constant
\end{itemize}

\begin{verbatim}
integrate(tan(z)/sqrt(sin(z+%pi/4)), z= 0..1,"noPole")
\end{verbatim}


\begin{itemize}
\item (1) Not integrable (provided residues have no relations)
\end{itemize}

\begin{verbatim}
integrate(((z^3-1)/(1+z))^(1/2)/z^2, z= 1..%plusInfinity,"noPole")
\end{verbatim}


\begin{itemize}
\item (35) integrate: implementation incomplete (non-algebraic residues)
\end{itemize}

\begin{verbatim}
integrate(-(1-(I*z)^(1/2)/(1-I*z))^(1/2), z= -1..1,"noPole")
\end{verbatim}


\begin{itemize}
\item (177) integrate: implementation incomplete (constant residues)
\end{itemize}

\begin{verbatim}
integrate(sin(z)^2*(1+z^(1/2))^(1/2), z= 0..1,"noPole")
\end{verbatim}


\begin{itemize}
\item (22) Imaginary part is nonzero. Cannot retract.
\end{itemize}

\begin{verbatim}
integrate(sqrt(sin(2*z))/sqrt(cos(2*z)),z)
\end{verbatim}


\begin{itemize}
\item (29) Function not supported by Risch d.e.
\end{itemize}

\begin{verbatim}
integrate(exp(-I*(I*z)^(1/2))/abs(z)^2, z= 0..1,"noPole")
\end{verbatim}


\begin{itemize}
\item (12) integrate: implementation incomplete (residue poly has multiple 
          non-linear factors)
\end{itemize}

\begin{verbatim}
integrate(tanh(z)^(4/3), z = -1..1,"noPole")
\end{verbatim}


\begin{itemize}
\item (0) integralBasis: possible wild ramification
\end{itemize}


\subsection{(2331) Failed Results}

\begin{itemize}
\item (2033) "failed"
\end{itemize}

\begin{verbatim}
integrate(log(2-z^2)/(1-z^3), z= 0..1)
\end{verbatim}


\begin{itemize}
\item (56) Sorry - cannot handle that integrand yet
\end{itemize}

\begin{verbatim}
integrate(erf((I*z)^(1/3)), z= -1..1,"noPole")
\end{verbatim}


\begin{itemize}
\item (242) failed - cannot handle that integrand
\end{itemize}

\begin{verbatim}
integrate(sin(1/z)+(1-1/z^4)^(1/2), z= 0..%pi,"noPole")
\end{verbatim}

\subsection{(490) Successful Results}

\subsection{(305) Indeterminate Results}

There were some integrals that OpenAxiom failed to complete given
the bounds on the allowed CPU time (about 10 minutes of execution).
Further effort will be applied to try to resolve these cases.

It may be that some portion of the integration algorithm either has
an infinite loop or has non-polynomial time behavior. We will attempt
to investigate both possibilities.

Tim

<<*>>=
)set mes auto off
)set break resume
in1012a:=integrate(log(abs(z^3-1))/(1+z)^2, z= 0..%plusInfinity,"noPole")
--            +-+
--        %pi\|3
--   (4)  -------
--           3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in101a:=integrate((sqrt(z)^I)^I, z= 0..1,"noPole")
--           2
--   (2)  ------
--         2
--        I  + 2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)


in106a:=integrate(((I+z)^I)^I, z= 0..1,"noPole")
--
--                  2                  2
--                 I log(I + 1)       I log(I)
--        (I + 1)%e             - I %e
--   (3)  ------------------------------------
--                        2
--                       I  + 1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in108a:=integrate(sqrt((1 + cos(z))*(1 + sin(z))),z=0..%plusInfinity,"noPole")
--
-- + infinity
--

in119a:=integrate(log(1/z+sqrt(1+1/z)), z=0..1,"noPole")
--              +-+              +-+                 +-+
--       3log(2\|2  + 3) + 2log(\|2  + 1) - 3log(- 2\|2  + 3)
--     + 
--                     +-+       +-+      +-+
--        +-+    (- 32\|2  - 30)\|5  + 48\|2  + 102           +-+
--       \|5 log(----------------------------------) - log(4)\|5
--                              +-+
--                            2\|2  + 3
--  /
--     4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in120a:=integrate(1/(1+1/z^6), z=0..%plusInfinity)
--  + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in1029a:=integrate((I*z/(I*z+1))^(1/2), z= 0..%plusInfinity,"noPole")
--
--   + infinity

in1030a:=integrate(I*z/(I*z+1), z= 0..%plusInfinity,"noPole")
--
--   + infinity

in1066a:=integrate(acoth(z)*real(z), z= 0..1,"noPole")
--        1
--   (6)  -
--        2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1067a:=integrate(acoth(z)*z^(1/2), z= 0..1,"noPole")
--        - 2log(2) - %pi + 8
--   (8)  -------------------
--                 6
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1076a:=integrate(sin(z)*(1-cos(z)/(1-sin(z)^2)^(1/2))^2, z= 0..1,"noPole")
--   - 4cos(1) + 4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)


in1084a:=integrate(atan(sin(z))+atan(1/sin(z)), z= 0..1,"noPole")
--       %pi
--     - ---
--        2
--                 Type: Union(f1: OrderedCompletion Expression Integer,...)

in1107a:=integrate(-log(z)/(-1+z^(1/2))^3, z= 0..1/2*I,"noPole")
--
--                                            +-+
--                  +-+              +-+     \|I
--       ((2I + 12)\|I  + (- 6I - 4)\|2 )log(----)
--                                            +-+
--                                           \|2
--     + 
--                                             +-+           +-+
--                  +-+            +-+     - 4\|I  + (I + 2)\|2
--       ((- I - 6)\|I  + (3I + 2)\|2 )log(---------------------)
--                                                   +-+
--                                                 2\|2
--     + 
--                2                                  2
--               I             +-+           +-+    I        +-+
--       (- 3log(--) + 2I + 4)\|I  + (I + 1)\|2 log(--) - 4I\|2
--                4                                  4
--  /
--             +-+              +-+
--     (I + 6)\|I  + (- 3I - 2)\|2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1108a:=integrate(log(z)/(-1+z^(1/2))^3, z= 0..1/2*I,"noPole")
--
--                                            +-+
--                    +-+            +-+     \|I
--       ((- 2I - 12)\|I  + (6I + 4)\|2 )log(----)
--                                            +-+
--                                           \|2
--     + 
--                                             +-+           +-+
--                +-+              +-+     - 4\|I  + (I + 2)\|2
--       ((I + 6)\|I  + (- 3I - 2)\|2 )log(---------------------)
--                                                   +-+
--                                                 2\|2
--     + 
--              2                                    2
--             I             +-+             +-+    I        +-+
--       (3log(--) - 2I - 4)\|I  + (- I - 1)\|2 log(--) + 4I\|2
--              4                                    4
--  /
--             +-+              +-+
--     (I + 6)\|I  + (- 3I - 2)\|2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1112a:=integrate((1-1/z)^(1/2), z= %pi..2*%pi,"noPole")
--
--               +--------+              +-------+
--               |2%pi - 1               |%pi - 1
--       - 2log( |--------  + 1) + 2log( |-------  + 1)
--              \|  2%pi                \|  %pi
--     + 
--                    +-------+                          +--------+
--                    |%pi - 1                           |2%pi - 1
--             - 2%pi |-------  + 2%pi - 1        - 4%pi |--------  + 4%pi - 1
--                   \|  %pi                            \|  2%pi
--       - log(---------------------------) + log(----------------------------)
--                         %pi                                2%pi
--     + 
--            +--------+        +-------+
--            |2%pi - 1         |%pi - 1
--       8%pi |--------  - 4%pi |-------
--           \|  2%pi          \|  %pi
--  /
--     4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)


in1114a:=integrate(-z-(1/2*2^(1/2)+1/2*I*2^(1/2))*z^(1/2), z= 1..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

------------------------------------------------------
in1118:=integrate(acot(z), z= 0..1/2*I)
--
--               2
--              I  + 4             4I
--         2log(------) + I atan(------)
--                 4              2
--                               I  - 4
--         -----------------------------
--                       4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

------------------------------------------------------
in1120a:=integrate((z^2)^(1/2), z= 1..2,"noPole")
--
--         3
--   (29)  -
--         2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

------------------------------------------------------
in1130a:=integrate(3^log(z), z= -%i..%i,"noPole")
--
--
--             log(3)log(I)       log(3)log(- I)
--         I %e             + I %e
--   (45)  -------------------------------------
--                       log(3) + 1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

------------------------------------------------------
in1149:=integrate(imag(z)*z^(1/6), z= -%i..%i)
--
--   (49)  0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1149:=integrate(imag(z)*z^(1/6), z= -%i..%i)
--
--   (64)  0
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in1150a:=integrate(1/z^(1/2), z= -%i..%i,"noPole")
--
--           +-+     +---+
--   (51)  2\|I  - 2\|- I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1150c:=integrate(1/z^(1/2), z= -%i..%i,"noPole")
--
--           +--+     +----+
--   (66)  2\|%i  - 2\|- %i
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in1161:=integrate(hermiteH(1, z), z= -%i..%i)
--
--   (76)  0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in1161a:=integrate(hermiteH(1, z), z= -%i..%i)
--
--
--   (77)  0
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in1160:=integrate(HermiteH(2, z), z= -%i..%i)
--     20%i
--   - ----
--       3
--         Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in1162:=integrate(laguerreL(1, z), z= -%i..%i)
--
--   (78)  2I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1162:=integrate(laguerreL(1, z), z= -%i..%i)
--
--   (79)  2%i
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in1163:=integrate(legendreP(3, z), z= -%i..%i)
--
--   (80)  0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1163:=integrate(legendreP(3, z), z= -%i..%i)
--
--   (81)  0
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)


in1164:=integrate(legendreP(2, z), z= -%i..%i)
--
--          3
--   (82)  I  - I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1164:=integrate(legendreP(2, z), z= -%i..%i)
--
--   (83)  - 2%i
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)
--

in1167a:=integrate((z^2)^(1/6), z= -3..-1,"noPole")
--
--            3+---+    3+---+
--         - 3\|- 1  + 9\|- 3
--   (85)  -------------------
--                  4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1180:=integrate(z^(1/3)/(z^2+1), z= 0..10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
--
--   potentialPole
--
in1180:=integrate(z^(1/3)/(z^2+1), z= 0..10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,"noPole")
--
--        3
--      *
--         log
--             999999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99999999999999999999999999999999999999999999999999999999999999_
--              99998000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              000000000000000000000000000
--             *
--                3+--+2
--                \|10
--            + 
--             300000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              00000000000000000000000000000000000000000000000000000000000000_
--              000000000000000000000000000000000000000000000
--             *
--                3+--+
--                \|10
--            + 
--              -
--              19999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999999999_
--               9999999999999999999999999999999999999999999999999999999
--     + 
--       -
--            12
--         *
--            log
--                100000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000000000000000000000000000000000000000000000000000_
--                 00000000000
--                *
--                   3+--+2
--                   \|10
--               + 
--                 1
--     + 
--            +-+
--         12\|3
--      *
--         atan
--               2000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000000000_
--                000000000000000000000000000000000000000000000000000000
--               *
--                  3+--+2
--                  \|10
--              + 
--                - 1
--           /
--               +-+
--              \|3
--     + 
--            +-+
--       2%pi\|3
--  /
--     24
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1183a:=integrate(csc(z), z= 1-%i..1+%i,"noPole")
--
--                          2                                    2
--                sin(I + 1)                           sin(I - 1)
--   log(-----------------------------) - log(-----------------------------)
--                 2                                    2
--       cos(I + 1)  + 2cos(I + 1) + 1        cos(I - 1)  + 2cos(I - 1) + 1
--   -----------------------------------------------------------------------
--                                      2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--
--       ROOT
--               +-----------------------------------------+
--               |         2                          2          +-+
--              \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--            + 
--                  +-+
--              - 4\|2 %%CZ0
--         /
--              +-+
--            2\|2
--    *
--       log
--                            +-+            +-+             +-+           +-+
--                    ((24576\|2 %%CZ0 - 768\|2 )%%CZ1 - 768\|2 %%CZ0 - 48\|2 )
--                 *
--                     +-----------------------------------------+
--                     |         2                          2
--                    \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                + 
--                                           2               2
--                  (196608%%CZ0 - 6144)%%CZ1  + (196608%%CZ0  + 384)%%CZ1
--                + 
--                             2
--                  - 6144%%CZ0  + 384%%CZ0 + 48
--             *
--                ROOT
--                        +-----------------------------------------+
--                        |         2                          2
--                       \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                     + 
--                           +-+          +-+
--                       - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                  /
--                       +-+
--                     2\|2
--            + 
--                ((- 3072%%CZ0 + 384)%%CZ1 + 384%%CZ0 - 12)
--             *
--                 +-----------------------------------------+
--                 |         2                          2
--                \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--            + 
--                       +-+             +-+      2
--              (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--            + 
--                      +-+     2      +-+              +-+     2      +-+
--             (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0  + 48\|2 %%CZ0
--            + 
--                 +-+
--              60\|2
--         /
--             +-+
--            \|2
--   + 
--     -
--          ROOT
--                  +-----------------------------------------+
--                  |         2                          2          +-+
--                 \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--               + 
--                     +-+
--                 - 4\|2 %%CZ0
--            /
--                 +-+
--               2\|2
--       *
--          log
--                       ((24576%%CZ0 - 768)%%CZ1 - 768%%CZ0 - 48)
--                    *
--                        +-----------------------------------------+
--                        |         2                          2
--                       \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                   + 
--                            +-+             +-+      2
--                     (98304\|2 %%CZ0 - 3072\|2 )%%CZ1
--                   + 
--                            +-+     2       +-+              +-+     2
--                     (98304\|2 %%CZ0  + 192\|2 )%%CZ1 - 3072\|2 %%CZ0
--                   + 
--                         +-+           +-+
--                     192\|2 %%CZ0 + 24\|2
--                *
--                   ROOT
--                           +-----------------------------------------+
--                           |         2                          2
--                          \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                        + 
--                              +-+          +-+
--                          - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                     /
--                          +-+
--                        2\|2
--               + 
--                   ((- 3072%%CZ0 + 384)%%CZ1 + 384%%CZ0 - 12)
--                *
--                    +-----------------------------------------+
--                    |         2                          2
--                   \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--               + 
--                          +-+             +-+      2
--                 (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--               + 
--                          +-+     2      +-+              +-+     2
--                 (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0
--               + 
--                    +-+           +-+
--                 48\|2 %%CZ0 + 42\|2
--            /
--                +-+
--               \|2
--   + 
--     -
--          ROOT
--                    +-----------------------------------------+
--                    |         2                          2          +-+
--                 - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--               + 
--                     +-+
--                 - 4\|2 %%CZ0
--            /
--                 +-+
--               2\|2
--       *
--          log
--                                  +-+            +-+             +-+
--                           (24576\|2 %%CZ0 - 768\|2 )%%CZ1 - 768\|2 %%CZ0
--                         + 
--                                +-+
--                           - 48\|2
--                    *
--                        +-----------------------------------------+
--                        |         2                          2
--                       \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                   + 
--                                                2
--                     (- 196608%%CZ0 + 6144)%%CZ1
--                   + 
--                                   2                        2
--                     (- 196608%%CZ0  - 384)%%CZ1 + 6144%%CZ0  - 384%%CZ0 - 48
--                *
--                   ROOT
--                             +-----------------------------------------+
--                             |         2                          2
--                          - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                        + 
--                              +-+          +-+
--                          - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                     /
--                          +-+
--                        2\|2
--               + 
--                   ((3072%%CZ0 - 384)%%CZ1 - 384%%CZ0 + 12)
--                *
--                    +-----------------------------------------+
--                    |         2                          2
--                   \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--               + 
--                          +-+             +-+      2
--                 (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--               + 
--                          +-+     2      +-+              +-+     2
--                 (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0
--               + 
--                    +-+           +-+
--                 48\|2 %%CZ0 + 60\|2
--            /
--                +-+
--               \|2
--   + 
--       ROOT
--                 +-----------------------------------------+
--                 |         2                          2          +-+
--              - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--            + 
--                  +-+
--              - 4\|2 %%CZ0
--         /
--              +-+
--            2\|2
--    *
--       log
--                    ((24576%%CZ0 - 768)%%CZ1 - 768%%CZ0 - 48)
--                 *
--                     +-----------------------------------------+
--                     |         2                          2
--                    \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                + 
--                           +-+             +-+      2
--                  (- 98304\|2 %%CZ0 + 3072\|2 )%%CZ1
--                + 
--                           +-+     2       +-+              +-+     2
--                  (- 98304\|2 %%CZ0  - 192\|2 )%%CZ1 + 3072\|2 %%CZ0
--                + 
--                        +-+           +-+
--                  - 192\|2 %%CZ0 - 24\|2
--             *
--                ROOT
--                          +-----------------------------------------+
--                          |         2                          2
--                       - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                     + 
--                           +-+          +-+
--                       - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                  /
--                       +-+
--                     2\|2
--            + 
--                ((3072%%CZ0 - 384)%%CZ1 - 384%%CZ0 + 12)
--             *
--                 +-----------------------------------------+
--                 |         2                          2
--                \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--            + 
--                       +-+             +-+      2
--              (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--            + 
--                      +-+     2      +-+              +-+     2      +-+
--             (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0  + 48\|2 %%CZ0
--            + 
--                 +-+
--              42\|2
--         /
--             +-+
--            \|2
--   + 
--     -
--          ROOT
--                    +-----------------------------------------+
--                    |         2                          2          +-+
--                 - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--               + 
--                     +-+
--                 - 4\|2 %%CZ0
--            /
--                 +-+
--               2\|2
--       *
--          log
--                       ((- 24576%%CZ0 + 768)%%CZ1 + 768%%CZ0 + 48)
--                    *
--                        +-----------------------------------------+
--                        |         2                          2
--                       \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                   + 
--                            +-+             +-+      2
--                     (98304\|2 %%CZ0 - 3072\|2 )%%CZ1
--                   + 
--                            +-+     2       +-+              +-+     2
--                     (98304\|2 %%CZ0  + 192\|2 )%%CZ1 - 3072\|2 %%CZ0
--                   + 
--                         +-+           +-+
--                     192\|2 %%CZ0 + 24\|2
--                *
--                   ROOT
--                             +-----------------------------------------+
--                             |         2                          2
--                          - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                        + 
--                              +-+          +-+
--                          - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                     /
--                          +-+
--                        2\|2
--               + 
--                   ((3072%%CZ0 - 384)%%CZ1 - 384%%CZ0 + 12)
--                *
--                    +-----------------------------------------+
--                    |         2                          2
--                   \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--               + 
--                          +-+             +-+      2
--                 (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--               + 
--                          +-+     2      +-+              +-+     2
--                 (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0
--               + 
--                    +-+           +-+
--                 48\|2 %%CZ0 + 42\|2
--            /
--                +-+
--               \|2
--   + 
--       ROOT
--                 +-----------------------------------------+
--                 |         2                          2          +-+
--              - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--            + 
--                  +-+
--              - 4\|2 %%CZ0
--         /
--              +-+
--            2\|2
--    *
--       log
--                                 +-+            +-+             +-+
--                        (- 24576\|2 %%CZ0 + 768\|2 )%%CZ1 + 768\|2 %%CZ0
--                      + 
--                           +-+
--                        48\|2
--                 *
--                     +-----------------------------------------+
--                     |         2                          2
--                    \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                + 
--                                           2               2
--                  (196608%%CZ0 - 6144)%%CZ1  + (196608%%CZ0  + 384)%%CZ1
--                + 
--                             2
--                  - 6144%%CZ0  + 384%%CZ0 + 48
--             *
--                ROOT
--                          +-----------------------------------------+
--                          |         2                          2
--                       - \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                     + 
--                           +-+          +-+
--                       - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                  /
--                       +-+
--                     2\|2
--            + 
--                ((3072%%CZ0 - 384)%%CZ1 - 384%%CZ0 + 12)
--             *
--                 +-----------------------------------------+
--                 |         2                          2
--                \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--            + 
--                       +-+             +-+      2
--              (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--            + 
--                      +-+     2      +-+              +-+     2      +-+
--             (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0  + 48\|2 %%CZ0
--            + 
--                 +-+
--              60\|2
--         /
--             +-+
--            \|2
--   + 
--       ROOT
--               +-----------------------------------------+
--               |         2                          2          +-+
--              \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--            + 
--                  +-+
--              - 4\|2 %%CZ0
--         /
--              +-+
--            2\|2
--    *
--       log
--                    ((- 24576%%CZ0 + 768)%%CZ1 + 768%%CZ0 + 48)
--                 *
--                     +-----------------------------------------+
--                     |         2                          2
--                    \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                + 
--                           +-+             +-+      2
--                  (- 98304\|2 %%CZ0 + 3072\|2 )%%CZ1
--                + 
--                           +-+     2       +-+              +-+     2
--                  (- 98304\|2 %%CZ0  - 192\|2 )%%CZ1 + 3072\|2 %%CZ0
--                + 
--                        +-+           +-+
--                  - 192\|2 %%CZ0 - 24\|2
--             *
--                ROOT
--                        +-----------------------------------------+
--                        |         2                          2
--                       \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                     + 
--                           +-+          +-+
--                       - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                  /
--                       +-+
--                     2\|2
--            + 
--                ((- 3072%%CZ0 + 384)%%CZ1 + 384%%CZ0 - 12)
--             *
--                 +-----------------------------------------+
--                 |         2                          2
--                \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--            + 
--                       +-+             +-+      2
--              (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--            + 
--                      +-+     2      +-+              +-+     2      +-+
--             (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0  + 48\|2 %%CZ0
--            + 
--                 +-+
--              42\|2
--         /
--             +-+
--            \|2
--   + 
--     -
--          ROOT
--                  +-----------------------------------------+
--                  |         2                          2          +-+
--                 \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1  - 4\|2 %%CZ1
--               + 
--                     +-+
--                 - 4\|2 %%CZ0
--            /
--                 +-+
--               2\|2
--       *
--          log
--                                  +-+            +-+             +-+
--                         (- 24576\|2 %%CZ0 + 768\|2 )%%CZ1 + 768\|2 %%CZ0
--                       + 
--                            +-+
--                         48\|2
--                    *
--                        +-----------------------------------------+
--                        |         2                          2
--                       \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                   + 
--                                                2
--                     (- 196608%%CZ0 + 6144)%%CZ1
--                   + 
--                                   2                        2
--                     (- 196608%%CZ0  - 384)%%CZ1 + 6144%%CZ0  - 384%%CZ0 - 48
--                *
--                   ROOT
--                           +-----------------------------------------+
--                           |         2                          2
--                          \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--                        + 
--                              +-+          +-+
--                          - 4\|2 %%CZ1 - 4\|2 %%CZ0
--                     /
--                          +-+
--                        2\|2
--               + 
--                   ((- 3072%%CZ0 + 384)%%CZ1 + 384%%CZ0 - 12)
--                *
--                    +-----------------------------------------+
--                    |         2                          2
--                   \|- 96%%CZ1  - 64%%CZ0 %%CZ1 - 96%%CZ0  - 1
--               + 
--                          +-+             +-+      2
--                 (- 12288\|2 %%CZ0 + 1536\|2 )%%CZ1
--               + 
--                          +-+     2      +-+              +-+     2
--                 (- 12288\|2 %%CZ0  + 48\|2 )%%CZ1 + 1536\|2 %%CZ0
--               + 
--                    +-+           +-+
--                 48\|2 %%CZ0 + 60\|2
--            /
--                +-+
--               \|2
--   + 
--     -
--           +------+
--          \|4%%CZ1
--       *
--          log
--                          +-+             +-+      2
--                   (98304\|2 %%CZ0 - 3072\|2 )%%CZ1
--                 + 
--                          +-+     2       +-+               +-+     3
--                   (98304\|2 %%CZ0  + 192\|2 )%%CZ1 + 98304\|2 %%CZ0
--                 + 
--                       +-+           +-+
--                   768\|2 %%CZ0 - 36\|2
--              *
--                  +------+
--                 \|4%%CZ1
--             + 
--                                       2              2
--               (12288%%CZ0 - 1536)%%CZ1  + (12288%%CZ0  - 48)%%CZ1
--             + 
--                         3
--               12288%%CZ0  + 96%%CZ0 + 18
--   + 
--        +------+
--       \|4%%CZ1
--    *
--       log
--                                        2              2
--                (98304%%CZ0 - 3072)%%CZ1  + (98304%%CZ0  + 192)%%CZ1
--              + 
--                          3
--                98304%%CZ0  + 768%%CZ0 - 36
--           *
--               +------+
--              \|4%%CZ1
--          + 
--                                    2              2                        3
--            (12288%%CZ0 - 1536)%%CZ1  + (12288%%CZ0  - 48)%%CZ1 + 12288%%CZ0
--          + 
--            96%%CZ0 + 9
--   + 
--     -
--           +------+
--          \|4%%CZ1
--       *
--          log
--                                             2                2
--                   (- 98304%%CZ0 + 3072)%%CZ1  + (- 98304%%CZ0  - 192)%%CZ1
--                 + 
--                               3
--                   - 98304%%CZ0  - 768%%CZ0 + 36
--              *
--                  +------+
--                 \|4%%CZ1
--             + 
--                                       2              2
--               (12288%%CZ0 - 1536)%%CZ1  + (12288%%CZ0  - 48)%%CZ1
--             + 
--                         3
--               12288%%CZ0  + 96%%CZ0 + 9
--   + 
--        +------+
--       \|4%%CZ1
--    *
--       log
--                         +-+             +-+      2
--                (- 98304\|2 %%CZ0 + 3072\|2 )%%CZ1
--              + 
--                         +-+     2       +-+               +-+     3
--                (- 98304\|2 %%CZ0  - 192\|2 )%%CZ1 - 98304\|2 %%CZ0
--              + 
--                      +-+           +-+
--                - 768\|2 %%CZ0 + 36\|2
--           *
--               +------+
--              \|4%%CZ1
--          + 
--                                    2              2                        3
--            (12288%%CZ0 - 1536)%%CZ1  + (12288%%CZ0  - 48)%%CZ1 + 12288%%CZ0
--          + 
--            96%%CZ0 + 18
--   + 
--        +------+
--       \|4%%CZ0
--    *
--       log
--                     +-+     3        +-+     2       +-+           +-+
--              (98304\|2 %%CZ0  + 3072\|2 %%CZ0  + 576\|2 %%CZ0 - 60\|2 )
--           *
--               +------+
--              \|4%%CZ0
--          + 
--                        3            2
--            - 12288%%CZ0  - 1536%%CZ0  - 144%%CZ0 + 30
--   + 
--     -
--           +------+
--          \|4%%CZ0
--       *
--          log
--                          3            2                  +------+
--               (98304%%CZ0  + 3072%%CZ0  + 576%%CZ0 - 60)\|4%%CZ0
--             + 
--                           3            2
--               - 12288%%CZ0  - 1536%%CZ0  - 144%%CZ0 + 21
--   + 
--        +------+
--       \|4%%CZ0
--    *
--       log
--                         3            2                  +------+
--            (- 98304%%CZ0  - 3072%%CZ0  - 576%%CZ0 + 60)\|4%%CZ0
--          + 
--                        3            2
--            - 12288%%CZ0  - 1536%%CZ0  - 144%%CZ0 + 21
--   + 
--     -
--           +------+
--          \|4%%CZ0
--       *
--          log
--                          +-+     3        +-+     2       +-+           +-+
--                 (- 98304\|2 %%CZ0  - 3072\|2 %%CZ0  - 576\|2 %%CZ0 + 60\|2 )
--              *
--                  +------+
--                 \|4%%CZ0
--             + 
--                          3            2
--              - 12288%%CZ0  - 1536%%CZ0  - 144%%CZ0 + 30
-- /
--   4
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)
--
--

in1186a:=integrate((z^2+z)^(1/2)/(1+z^2)^2, z= 0..1,"noPole")
--
-- (105)
--           +-+      4+-+    %pi
--       (17\|2  - 24)\|2 cos(---)
--                             8
--    *
--       log
--                 %pi 4     +-+4+-+3    %pi 3
--            2sin(---)  + 2\|2 \|2  sin(---)
--                  8                     8
--          + 
--                  %pi 2     +-+4+-+3    %pi     4+-+2     %pi 2
--            (4cos(---)  - 2\|2 \|2  cos(---) + 4\|2  )sin(---)
--                   8                     8                 8
--          + 
--               +-+4+-+3    %pi 2    4+-+2    %pi      +-+4+-+     %pi
--            (2\|2 \|2  cos(---)  - 4\|2  cos(---) + 2\|2 \|2 )sin(---)
--                            8                 8                    8
--          + 
--                 %pi 4     +-+4+-+3    %pi 3    4+-+2    %pi 2
--            2cos(---)  - 2\|2 \|2  cos(---)  + 4\|2  cos(---)
--                  8                     8                 8
--          + 
--                +-+4+-+    %pi
--            - 2\|2 \|2 cos(---) + 1
--                            8
--   + 
--             +-+      4+-+    %pi
--       (- 17\|2  + 24)\|2 cos(---)
--                               8
--    *
--       log
--                 %pi 4    4+-+3    %pi 3
--            2sin(---)  + 4\|2  sin(---)
--                  8                 8
--          + 
--                    %pi 2        +-+     4+-+3    %pi         +-+      4+-+2
--              (4cos(---)  + (- 4\|2  + 4)\|2  cos(---) + (- 4\|2  + 12)\|2  )
--                     8                             8
--           *
--                  %pi 2
--              sin(---)
--                   8
--          + 
--                 4+-+3    %pi 2        +-+     4+-+2    %pi
--                4\|2  cos(---)  + (- 8\|2  + 8)\|2  cos(---)
--                           8                             8
--              + 
--                     +-+      4+-+
--                (- 8\|2  + 16)\|2
--           *
--                  %pi
--              sin(---)
--                   8
--          + 
--                 %pi 4        +-+     4+-+3    %pi 3
--            2cos(---)  + (- 4\|2  + 4)\|2  cos(---)
--                  8                             8
--          + 
--                  +-+      4+-+2    %pi 2         +-+      4+-+    %pi
--            (- 12\|2  + 20)\|2  cos(---)  + (- 24\|2  + 32)\|2 cos(---)
--                                     8                              8
--          + 
--                 +-+
--            - 16\|2  + 24
--   + 
--           +-+      4+-+    %pi
--       (17\|2  - 24)\|2 cos(---)
--                             8
--    *
--       log
--                 %pi 4    4+-+3    %pi 3
--            2sin(---)  - 4\|2  sin(---)
--                  8                 8
--          + 
--                    %pi 2      +-+     4+-+3    %pi         +-+      4+-+2
--              (4cos(---)  + (4\|2  - 4)\|2  cos(---) + (- 4\|2  + 12)\|2  )
--                     8                           8
--           *
--                  %pi 2
--              sin(---)
--                   8
--          + 
--                   4+-+3    %pi 2        +-+     4+-+2    %pi
--                - 4\|2  cos(---)  + (- 8\|2  + 8)\|2  cos(---)
--                             8                             8
--              + 
--                   +-+      4+-+
--                (8\|2  - 16)\|2
--           *
--                  %pi
--              sin(---)
--                   8
--          + 
--                 %pi 4      +-+     4+-+3    %pi 3
--            2cos(---)  + (4\|2  - 4)\|2  cos(---)
--                  8                           8
--          + 
--                 +-+      4+-+2    %pi 2       +-+      4+-+    %pi       +-+
--           (- 12\|2  + 20)\|2  cos(---)  + (24\|2  - 32)\|2 cos(---) - 16\|2
--                                     8                            8
--          + 
--            24
--   + 
--             +-+      4+-+    %pi
--       (- 17\|2  + 24)\|2 cos(---)
--                               8
--    *
--       log
--                 %pi 4     +-+4+-+3    %pi 3
--            2sin(---)  - 2\|2 \|2  sin(---)
--                  8                     8
--          + 
--                  %pi 2     +-+4+-+3    %pi     4+-+2     %pi 2
--            (4cos(---)  + 2\|2 \|2  cos(---) + 4\|2  )sin(---)
--                   8                     8                 8
--          + 
--                 +-+4+-+3    %pi 2    4+-+2    %pi      +-+4+-+     %pi
--            (- 2\|2 \|2  cos(---)  - 4\|2  cos(---) - 2\|2 \|2 )sin(---)
--                              8                 8                    8
--          + 
--                 %pi 4     +-+4+-+3    %pi 3    4+-+2    %pi 2
--            2cos(---)  + 2\|2 \|2  cos(---)  + 4\|2  cos(---)
--                  8                     8                 8
--          + 
--              +-+4+-+    %pi
--            2\|2 \|2 cos(---) + 1
--                          8
--   + 
--                                     4+-+    %pi    4+-+    %pi     +-+
--                                     \|2 sin(---) - \|2 cos(---) + \|2
--         +-+      4+-+    %pi                 8              8
--     (68\|2  - 96)\|2 sin(---)atan(--------------------------------------)
--                           8       4+-+    %pi    4+-+    %pi     +-+
--                                   \|2 sin(---) + \|2 cos(---) - \|2  + 2
--                                            8              8
--   + 
--                                     4+-+    %pi    4+-+    %pi     +-+
--                                     \|2 sin(---) - \|2 cos(---) + \|2
--           +-+      4+-+    %pi               8              8
--     (- 68\|2  + 96)\|2 sin(---)atan(----------------------------------)
--                             8           4+-+    %pi    4+-+    %pi
--                                         \|2 sin(---) + \|2 cos(---)
--                                                  8              8
--   + 
--                                   4+-+    %pi    4+-+    %pi     +-+
--                                   \|2 sin(---) - \|2 cos(---) - \|2
--         +-+      4+-+    %pi               8              8
--     (68\|2  - 96)\|2 sin(---)atan(----------------------------------)
--                           8           4+-+    %pi    4+-+    %pi
--                                       \|2 sin(---) + \|2 cos(---)
--                                                8              8
--   + 
--                                       4+-+    %pi    4+-+    %pi     +-+
--                                       \|2 sin(---) - \|2 cos(---) - \|2
--           +-+      4+-+    %pi                 8              8
--     (- 68\|2  + 96)\|2 sin(---)atan(--------------------------------------)
--                             8       4+-+    %pi    4+-+    %pi     +-+
--                                     \|2 sin(---) + \|2 cos(---) + \|2  - 2
--                                              8              8
--   + 
--           +-+
--     - 136\|2  + 192
-- /
--       +-+
--   384\|2  - 544
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1190a:=integrate(sin(z)^2*tan(z)^(1/2), z= 0..1,"noPole")
--
--                                                                 +------+
--                   3                             4            2  |sin(1)
--         ((96cos(1)  + 24cos(1))sin(1) - 96cos(1)  + 120cos(1) ) |------
--                                                                \|cos(1)
--       + 
--                                     4           2      +-+
--         (- 48cos(1)sin(1) + 96cos(1)  - 96cos(1)  - 3)\|2
--    *
--       log
--                         2      2              3                           2
--              (- 16cos(1) sin(1)  + (- 16cos(1)  - 4cos(1))sin(1) - 4cos(1) )
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                       3           2      2           3
--          8cos(1)sin(1)  + 32cos(1) sin(1)  + (8cos(1)  + 8cos(1))sin(1) + 1
--   + 
--                                                                 +------+
--                   3                             4            2  |sin(1)
--         ((96cos(1)  + 24cos(1))sin(1) - 96cos(1)  + 120cos(1) ) |------
--                                                                \|cos(1)
--       + 
--                                     4           2      +-+
--         (- 48cos(1)sin(1) + 96cos(1)  - 96cos(1)  - 3)\|2
--    *
--       log
--                            2      2              3
--                  - 64cos(1) sin(1)  + (- 64cos(1)  - 16cos(1))sin(1)
--                + 
--                            2
--                  - 16cos(1)
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                         3            2      2            3
--           32cos(1)sin(1)  + 128cos(1) sin(1)  + (32cos(1)  + 32cos(1))sin(1)
--          + 
--            4
--   + 
--                                                                   +------+
--                    3                              4            2  |sin(1)
--         ((384cos(1)  + 96cos(1))sin(1) - 384cos(1)  + 480cos(1) ) |------
--                                                                  \|cos(1)
--       + 
--                                       4            2       +-+
--         (- 192cos(1)sin(1) + 384cos(1)  - 384cos(1)  - 12)\|2
--    *
--                          +------+
--                          |sin(1)                            2      +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-----------------------------------------------------------)
--                          +------+
--                        2 |sin(1)                            2  +-+
--                 2cos(1)  |------  + (- cos(1)sin(1) - cos(1) )\|2
--                         \|cos(1)
--   + 
--                                                                     +------+
--                      3                              4            2  |sin(1)
--         ((- 384cos(1)  - 96cos(1))sin(1) + 384cos(1)  - 480cos(1) ) |------
--                                                                    \|cos(1)
--       + 
--                                     4            2       +-+
--         (192cos(1)sin(1) - 384cos(1)  + 384cos(1)  + 12)\|2
--    *
--                          +------+
--                          |sin(1)                              2      +-+
--            4cos(1)sin(1) |------  + (- 2cos(1)sin(1) + 2cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------------)
--                        +------+
--                      2 |sin(1)                              2      +-+
--               4cos(1)  |------  + (- 2cos(1)sin(1) - 2cos(1)  + 1)\|2
--                       \|cos(1)
--   + 
--                                                                     +------+
--                      3                              4            2  |sin(1)
--         ((- 384cos(1)  - 96cos(1))sin(1) + 384cos(1)  - 480cos(1) ) |------
--                                                                    \|cos(1)
--       + 
--                                     4            2       +-+
--         (192cos(1)sin(1) - 384cos(1)  + 384cos(1)  + 12)\|2
--    *
--                          +------+
--                          |sin(1)                            2  +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1) )\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------)
--                      +------+
--                    2 |sin(1)                            2      +-+
--             2cos(1)  |------  + (- cos(1)sin(1) - cos(1)  + 1)\|2
--                     \|cos(1)
--   + 
--                        3                               5
--             (- 96cos(1)  - 24cos(1))log(4) - 1024cos(1)
--           + 
--                                 3
--             (96%pi + 1024)cos(1)  + (24%pi + 32)cos(1)
--        *
--           sin(1)
--       + 
--                  4            2                               4
--         (96cos(1)  - 120cos(1) )log(4) + (- 96%pi - 512)cos(1)
--       + 
--                             2
--         (120%pi + 512)cos(1)
--    *
--        +------+
--        |sin(1)
--        |------
--       \|cos(1)
--   + 
--                                      5            3
--           (48cos(1)log(4) + 512cos(1)  - 384cos(1)  + (- 48%pi - 128)cos(1))
--        *
--           sin(1)
--       + 
--                    4           2                       6
--         (- 96cos(1)  + 96cos(1)  + 3)log(4) - 512cos(1)
--       + 
--                             4                        2
--         (96%pi + 1152)cos(1)  + (- 96%pi - 640)cos(1)  - 3%pi
--    *
--        +-+
--       \|2
-- /
--                   3                                4             2  +-+
--       ((1024cos(1)  + 256cos(1))sin(1) - 1024cos(1)  + 1280cos(1) )\|2
--    *
--        +------+
--        |sin(1)
--        |------
--       \|cos(1)
--   + 
--                                    4             2
--     - 1024cos(1)sin(1) + 2048cos(1)  - 2048cos(1)  - 64
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

in1191a:=integrate(sin(z)^2/tan(z)^(1/2), z= 0..1,"noPole")
--
--                                                                 +------+
--                     3                            4           2  |sin(1)
--         ((- 32cos(1)  - 8cos(1))sin(1) + 32cos(1)  - 40cos(1) ) |------
--                                                                \|cos(1)
--       + 
--                                   4           2      +-+
--         (16cos(1)sin(1) - 32cos(1)  + 32cos(1)  + 1)\|2
--    *
--       log
--                         2      2              3                           2
--              (- 16cos(1) sin(1)  + (- 16cos(1)  - 4cos(1))sin(1) - 4cos(1) )
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                       3           2      2           3
--          8cos(1)sin(1)  + 32cos(1) sin(1)  + (8cos(1)  + 8cos(1))sin(1) + 1
--   + 
--                                                                 +------+
--                     3                            4           2  |sin(1)
--         ((- 32cos(1)  - 8cos(1))sin(1) + 32cos(1)  - 40cos(1) ) |------
--                                                                \|cos(1)
--       + 
--                                   4           2      +-+
--         (16cos(1)sin(1) - 32cos(1)  + 32cos(1)  + 1)\|2
--    *
--       log
--                            2      2              3
--                  - 64cos(1) sin(1)  + (- 64cos(1)  - 16cos(1))sin(1)
--                + 
--                            2
--                  - 16cos(1)
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                         3            2      2            3
--           32cos(1)sin(1)  + 128cos(1) sin(1)  + (32cos(1)  + 32cos(1))sin(1)
--          + 
--            4
--   + 
--                                                                   +------+
--                    3                              4            2  |sin(1)
--         ((128cos(1)  + 32cos(1))sin(1) - 128cos(1)  + 160cos(1) ) |------
--                                                                  \|cos(1)
--       + 
--                                      4            2      +-+
--         (- 64cos(1)sin(1) + 128cos(1)  - 128cos(1)  - 4)\|2
--    *
--                          +------+
--                          |sin(1)                            2      +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-----------------------------------------------------------)
--                          +------+
--                        2 |sin(1)                            2  +-+
--                 2cos(1)  |------  + (- cos(1)sin(1) - cos(1) )\|2
--                         \|cos(1)
--   + 
--                                                                     +------+
--                      3                              4            2  |sin(1)
--         ((- 128cos(1)  - 32cos(1))sin(1) + 128cos(1)  - 160cos(1) ) |------
--                                                                    \|cos(1)
--       + 
--                                    4            2      +-+
--         (64cos(1)sin(1) - 128cos(1)  + 128cos(1)  + 4)\|2
--    *
--                          +------+
--                          |sin(1)                              2      +-+
--            4cos(1)sin(1) |------  + (- 2cos(1)sin(1) + 2cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------------)
--                        +------+
--                      2 |sin(1)                              2      +-+
--               4cos(1)  |------  + (- 2cos(1)sin(1) - 2cos(1)  + 1)\|2
--                       \|cos(1)
--   + 
--                                                                     +------+
--                      3                              4            2  |sin(1)
--         ((- 128cos(1)  - 32cos(1))sin(1) + 128cos(1)  - 160cos(1) ) |------
--                                                                    \|cos(1)
--       + 
--                                    4            2      +-+
--         (64cos(1)sin(1) - 128cos(1)  + 128cos(1)  + 4)\|2
--    *
--                          +------+
--                          |sin(1)                            2  +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1) )\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------)
--                      +------+
--                    2 |sin(1)                            2      +-+
--             2cos(1)  |------  + (- cos(1)sin(1) - cos(1)  + 1)\|2
--                     \|cos(1)
--   + 
--                     3                                       3
--           ((32cos(1)  + 8cos(1))log(4) + (32%pi + 512)cos(1)  + 8%pi cos(1))
--        *
--           sin(1)
--       + 
--                    4           2                    6
--         (- 32cos(1)  + 40cos(1) )log(4) - 1024cos(1)
--       + 
--                               4                     2
--         (- 32%pi + 1024)cos(1)  + (40%pi + 32)cos(1)
--    *
--        +------+
--        |sin(1)
--        |------
--       \|cos(1)
--   + 
--                                      5            3
--         (- 16cos(1)log(4) + 512cos(1)  - 640cos(1)  - 16%pi cos(1))sin(1)
--       + 
--                 4           2                       6                      4
--        (32cos(1)  - 32cos(1)  - 1)log(4) + 512cos(1)  + (32%pi - 384)cos(1)
--       + 
--                              2
--         (- 32%pi - 128)cos(1)  - %pi
--    *
--        +-+
--       \|2
-- /
--                   3                                4             2  +-+
--       ((1024cos(1)  + 256cos(1))sin(1) - 1024cos(1)  + 1280cos(1) )\|2
--    *
--        +------+
--        |sin(1)
--        |------
--       \|cos(1)
--   + 
--                                    4             2
--     - 1024cos(1)sin(1) + 2048cos(1)  - 2048cos(1)  - 64
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in1193a:=integrate(-sin(z)^2*cot(z-1), z= 0..1,"noPole")
--
--     + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

------------------------------------------------------
in1207:=integrate(sin(z)*cos(z)*tan(z)^(1/2), z= 0..1)
--
--   potentialPole
--
in1207a:=integrate(sin(z)*cos(z)*tan(z)^(1/2), z= 0..1,"noPole")
--
--                                                                 +------+
--                     3                            4           2  |sin(1)
--         ((- 32cos(1)  - 8cos(1))sin(1) + 32cos(1)  - 40cos(1) ) |------
--                                                                \|cos(1)
--       + 
--                                   4           2      +-+
--         (16cos(1)sin(1) - 32cos(1)  + 32cos(1)  + 1)\|2
--    *
--       log
--                         2      2              3                           2
--              (- 16cos(1) sin(1)  + (- 16cos(1)  - 4cos(1))sin(1) - 4cos(1) )
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                       3           2      2           3
--          8cos(1)sin(1)  + 32cos(1) sin(1)  + (8cos(1)  + 8cos(1))sin(1) + 1
--   + 
--                                                                 +------+
--                     3                            4           2  |sin(1)
--         ((- 32cos(1)  - 8cos(1))sin(1) + 32cos(1)  - 40cos(1) ) |------
--                                                                \|cos(1)
--       + 
--                                   4           2      +-+
--         (16cos(1)sin(1) - 32cos(1)  + 32cos(1)  + 1)\|2
--    *
--       log
--                            2      2              3
--                  - 64cos(1) sin(1)  + (- 64cos(1)  - 16cos(1))sin(1)
--                + 
--                            2
--                  - 16cos(1)
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                         3            2      2            3
--           32cos(1)sin(1)  + 128cos(1) sin(1)  + (32cos(1)  + 32cos(1))sin(1)
--          + 
--            4
--   + 
--                                                                   +------+
--                    3                              4            2  |sin(1)
--         ((128cos(1)  + 32cos(1))sin(1) - 128cos(1)  + 160cos(1) ) |------
--                                                                  \|cos(1)
--       + 
--                                      4            2      +-+
--         (- 64cos(1)sin(1) + 128cos(1)  - 128cos(1)  - 4)\|2
--    *
--                          +------+
--                          |sin(1)                            2      +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-----------------------------------------------------------)
--                          +------+
--                        2 |sin(1)                            2  +-+
--                 2cos(1)  |------  + (- cos(1)sin(1) - cos(1) )\|2
--                         \|cos(1)
--   + 
--                                                                     +------+
--                      3                              4            2  |sin(1)
--         ((- 128cos(1)  - 32cos(1))sin(1) + 128cos(1)  - 160cos(1) ) |------
--                                                                    \|cos(1)
--       + 
--                                    4            2      +-+
--         (64cos(1)sin(1) - 128cos(1)  + 128cos(1)  + 4)\|2
--    *
--                          +------+
--                          |sin(1)                              2      +-+
--            4cos(1)sin(1) |------  + (- 2cos(1)sin(1) + 2cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------------)
--                        +------+
--                      2 |sin(1)                              2      +-+
--               4cos(1)  |------  + (- 2cos(1)sin(1) - 2cos(1)  + 1)\|2
--                       \|cos(1)
--   + 
--                                                                     +------+
--                      3                              4            2  |sin(1)
--         ((- 128cos(1)  - 32cos(1))sin(1) + 128cos(1)  - 160cos(1) ) |------
--                                                                    \|cos(1)
--       + 
--                                    4            2      +-+
--         (64cos(1)sin(1) - 128cos(1)  + 128cos(1)  + 4)\|2
--    *
--                          +------+
--                          |sin(1)                            2  +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1) )\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------)
--                      +------+
--                    2 |sin(1)                            2      +-+
--             2cos(1)  |------  + (- cos(1)sin(1) - cos(1)  + 1)\|2
--                     \|cos(1)
--   + 
--                     3                                       3
--           ((32cos(1)  + 8cos(1))log(4) + (32%pi + 512)cos(1)  + 8%pi cos(1))
--        *
--           sin(1)
--       + 
--                    4           2                    6
--         (- 32cos(1)  + 40cos(1) )log(4) - 1024cos(1)
--       + 
--                               4                     2
--         (- 32%pi + 1024)cos(1)  + (40%pi + 32)cos(1)
--    *
--        +------+
--        |sin(1)
--        |------
--       \|cos(1)
--   + 
--                                      5            3
--         (- 16cos(1)log(4) + 512cos(1)  - 640cos(1)  - 16%pi cos(1))sin(1)
--       + 
--                 4           2                       6                      4
--        (32cos(1)  - 32cos(1)  - 1)log(4) + 512cos(1)  + (32%pi - 384)cos(1)
--       + 
--                              2
--         (- 32%pi - 128)cos(1)  - %pi
--    *
--        +-+
--       \|2
-- /
--                   3                                4             2  +-+
--       ((1024cos(1)  + 256cos(1))sin(1) - 1024cos(1)  + 1280cos(1) )\|2
--    *
--        +------+
--        |sin(1)
--        |------
--       \|cos(1)
--   + 
--                                    4             2
--     - 1024cos(1)sin(1) + 2048cos(1)  - 2048cos(1)  - 64
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

in1210a:=integrate(-sin(z)*cos(z)*cot(z-1), z= 0..1,"noPole")
--
--     + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1214a:=integrate(-sin(z)*tan(z)*csc(z-1), z= 0..1,"noPole")
--
--              1 2    1 2
--         4cos(-) sin(-)
--              2      2
--      *
--         log
--                     1 4        1 2    1 2       1 4       2
--                (sin(-)  - 2cos(-) sin(-)  + cos(-) )sin(1)
--                     2          2      2         2
--              + 
--                      1           1 3        1 3          1
--                (4cos(-)cos(1)sin(-)  - 4cos(-) cos(1)sin(-))sin(1)
--                      2           2          2            2
--              + 
--                     1 2      2    1 2
--                4cos(-) cos(1) sin(-)
--                     2             2
--           /
--                  1 4      2        1 4             1 4
--              cos(-) cos(1)  + 2cos(-) cos(1) + cos(-)
--                  2                 2               2
--     + 
--                                1 2
--                            sin(-)
--              1 2    1 2        2
--       - 4cos(-) sin(-) log(-------)
--              2      2          1 2
--                            cos(-)
--                                2
--     + 
--                                                                2
--              1 4        1 2    1 2       1 4            4cos(1)
--       (- sin(-)  - 2cos(-) sin(-)  - cos(-) )log(---------------------)
--              2          2      2         2             2
--                                                  cos(1)  + 2cos(1) + 1
--     + 
--            1 4        1 2    1 2       1 4               4
--       (sin(-)  - 2cos(-) sin(-)  + cos(-) )log(---------------------)
--            2          2      2         2             2
--                                                cos(1)  + 2cos(1) + 1
--     + 
--              1     1 3        1 3    1
--       - 4cos(-)sin(-)  + 4cos(-) sin(-)
--              2     2          2      2
--  /
--          1 4        1 4
--     2sin(-)  - 2cos(-)
--          2          2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1217a:=integrate(sin(z)*sec(z)*tan(z)^(1/2), z= 0..1,"noPole")
--
--                +------+
--                |sin(1)                        +-+
--       (2cos(1) |------  + (- sin(1) - cos(1))\|2 )
--               \|cos(1)
--    *
--       log
--                         2      2              3                           2
--              (- 16cos(1) sin(1)  + (- 16cos(1)  - 4cos(1))sin(1) - 4cos(1) )
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                       3           2      2           3
--          8cos(1)sin(1)  + 32cos(1) sin(1)  + (8cos(1)  + 8cos(1))sin(1) + 1
--   + 
--                +------+
--                |sin(1)                        +-+
--       (2cos(1) |------  + (- sin(1) - cos(1))\|2 )
--               \|cos(1)
--    *
--       log
--                            2      2              3
--                  - 64cos(1) sin(1)  + (- 64cos(1)  - 16cos(1))sin(1)
--                + 
--                            2
--                  - 16cos(1)
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                         3            2      2            3
--           32cos(1)sin(1)  + 128cos(1) sin(1)  + (32cos(1)  + 32cos(1))sin(1)
--          + 
--            4
--   + 
--                  +------+
--                  |sin(1)                        +-+
--       (- 8cos(1) |------  + (4sin(1) + 4cos(1))\|2 )
--                 \|cos(1)
--    *
--                          +------+
--                          |sin(1)                            2      +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-----------------------------------------------------------)
--                          +------+
--                        2 |sin(1)                            2  +-+
--                 2cos(1)  |------  + (- cos(1)sin(1) - cos(1) )\|2
--                         \|cos(1)
--   + 
--                +------+
--                |sin(1)                          +-+
--       (8cos(1) |------  + (- 4sin(1) - 4cos(1))\|2 )
--               \|cos(1)
--    *
--                          +------+
--                          |sin(1)                              2      +-+
--            4cos(1)sin(1) |------  + (- 2cos(1)sin(1) + 2cos(1)  - 1)\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------------)
--                        +------+
--                      2 |sin(1)                              2      +-+
--               4cos(1)  |------  + (- 2cos(1)sin(1) - 2cos(1)  + 1)\|2
--                       \|cos(1)
--   + 
--                +------+
--                |sin(1)                          +-+
--       (8cos(1) |------  + (- 4sin(1) - 4cos(1))\|2 )
--               \|cos(1)
--    *
--                          +------+
--                          |sin(1)                            2  +-+
--            2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1) )\|2
--                         \|cos(1)
--       atan(-------------------------------------------------------)
--                      +------+
--                    2 |sin(1)                            2      +-+
--             2cos(1)  |------  + (- cos(1)sin(1) - cos(1)  + 1)\|2
--                     \|cos(1)
--   + 
--                                                        +------+
--                                                        |sin(1)
--     (- 32sin(1) - 2cos(1)log(4) + (- 2%pi - 32)cos(1)) |------
--                                                       \|cos(1)
--   + 
--                                                             +-+
--     ((log(4) + %pi + 32)sin(1) + cos(1)log(4) + %pi cos(1))\|2
-- /
--                +------+
--            +-+ |sin(1)
--   16cos(1)\|2  |------  - 16sin(1) - 16cos(1)
--               \|cos(1)
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1218a:=integrate(sin(z)*sec(z)/tan(z)^(1/2), z= 0..1,"noPole")
--
--         +-+
--       2\|2
--    *
--       log
--                         2      2              3                           2
--              (- 16cos(1) sin(1)  + (- 16cos(1)  - 4cos(1))sin(1) - 4cos(1) )
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                       3           2      2           3
--          8cos(1)sin(1)  + 32cos(1) sin(1)  + (8cos(1)  + 8cos(1))sin(1) + 1
--   + 
--                             +------+
--                             |sin(1)                            2      +-+
--               2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1)  - 1)\|2
--       +-+                  \|cos(1)
--     4\|2 atan(-----------------------------------------------------------)
--                             +------+
--                           2 |sin(1)                            2  +-+
--                    2cos(1)  |------  + (- cos(1)sin(1) - cos(1) )\|2
--                            \|cos(1)
--   + 
--     -
--            +-+
--          4\|2
--       *
--                             +------+
--                             |sin(1)                              2      +-+
--               4cos(1)sin(1) |------  + (- 2cos(1)sin(1) + 2cos(1)  - 1)\|2
--                            \|cos(1)
--          atan(-------------------------------------------------------------)
--                           +------+
--                         2 |sin(1)                              2      +-+
--                  4cos(1)  |------  + (- 2cos(1)sin(1) - 2cos(1)  + 1)\|2
--                          \|cos(1)
--   + 
--                               +------+
--                               |sin(1)                            2  +-+
--                 2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1) )\|2
--         +-+                  \|cos(1)
--     - 4\|2 atan(-------------------------------------------------------)
--                           +------+
--                         2 |sin(1)                            2      +-+
--                  2cos(1)  |------  + (- cos(1)sin(1) - cos(1)  + 1)\|2
--                          \|cos(1)
--   + 
--         +-+
--     %pi\|2
-- /
--   16
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1a:=integrate(log(abs(z^2-1))/(1+z)^2, z= 0..%plusInfinity,"noPole")
--
--    1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in13:=integrate(cos(z)^2*sin(z)^n, z)
--
--             z
--           ++         2       n
--           |   cos(%H) sin(%H) d%H
--          ++
--                                          Type: Union(Expression Integer,...)

in15ab:=integrate(log(sqrt(z)+z^5), z=0..a,"noPole")
--
--            %pi
--       6cos(---)
--             9
--    *
--       log
--                     %pi 6     +-+    %pi     %pi 5        %pi 2    %pi 4
--                2sin(---)  + 4\|3 cos(---)sin(---)  + 2cos(---) sin(---)
--                      9                9       9            9        9
--              + 
--                  +-+    %pi 3    %pi 3           %pi 4          %pi 2
--                8\|3 cos(---) sin(---)  + (- 2cos(---)  + 2a)sin(---)
--                          9        9               9              9
--              + 
--                   +-+    %pi 5      +-+    %pi      %pi         %pi 6
--                (4\|3 cos(---)  + 4a\|3 cos(---))sin(---) - 2cos(---)
--                           9                 9        9           9
--              + 
--                         %pi 2
--                - 2a cos(---)
--                          9
--           *
--               +-+
--              \|a
--          + 
--                %pi 8        %pi 2    %pi 6         %pi 4          %pi 4
--            sin(---)  + 4cos(---) sin(---)  + (6cos(---)  + 3a)sin(---)
--                 9            9        9             9              9
--          + 
--               +-+    %pi     %pi 3         %pi 6           %pi 2     %pi 2
--            4a\|3 cos(---)sin(---)  + (4cos(---)  + 14a cos(---) )sin(---)
--                       9       9             9               9         9
--          + 
--                 +-+    %pi 3    %pi        %pi 8          %pi 4    2
--            - 4a\|3 cos(---) sin(---) + cos(---)  + 3a cos(---)  + a
--                         9        9          9              9
--   + 
--            +-+    %pi         %pi
--       (- 3\|3 sin(---) - 3cos(---))
--                    9           9
--    *
--       log
--                     %pi 6     +-+    %pi     %pi 5        %pi 2    %pi 4
--                2sin(---)  - 4\|3 cos(---)sin(---)  + 2cos(---) sin(---)
--                      9                9       9            9        9
--              + 
--                    +-+    %pi 3    %pi 3           %pi 4          %pi 2
--                - 8\|3 cos(---) sin(---)  + (- 2cos(---)  + 2a)sin(---)
--                            9        9               9              9
--              + 
--                     +-+    %pi 5      +-+    %pi      %pi         %pi 6
--                (- 4\|3 cos(---)  - 4a\|3 cos(---))sin(---) - 2cos(---)
--                             9                 9        9           9
--              + 
--                         %pi 2
--                - 2a cos(---)
--                          9
--           *
--               +-+
--              \|a
--          + 
--                %pi 8        %pi 2    %pi 6         %pi 4          %pi 4
--            sin(---)  + 4cos(---) sin(---)  + (6cos(---)  + 3a)sin(---)
--                 9            9        9             9              9
--          + 
--                 +-+    %pi     %pi 3         %pi 6           %pi 2     %pi 2
--            - 4a\|3 cos(---)sin(---)  + (4cos(---)  + 14a cos(---) )sin(---)
--                         9       9             9               9         9
--          + 
--               +-+    %pi 3    %pi        %pi 8          %pi 4    2
--            4a\|3 cos(---) sin(---) + cos(---)  + 3a cos(---)  + a
--                       9        9          9              9
--   + 
--              5 +-+    10               +-+
--     6a log(2a \|a  + a   + a) - 12log(\|a  + 1)
--   + 
--                     +-+    2
--     3log((- 2a - 2)\|a  + a  + 3a + 1)
--   + 
--          +-+    %pi         %pi
--       (3\|3 sin(---) - 3cos(---))
--                  9           9
--    *
--       log
--                       %pi 6        %pi 2    %pi 4
--                - 4sin(---)  - 4cos(---) sin(---)
--                        9            9        9
--              + 
--                      %pi 4          %pi 2        %pi 6          %pi 2
--                (4cos(---)  - 4a)sin(---)  + 4cos(---)  + 4a cos(---)
--                       9              9            9              9
--           *
--               +-+
--              \|a
--          + 
--                %pi 8        %pi 2    %pi 6         %pi 4          %pi 4
--            sin(---)  + 4cos(---) sin(---)  + (6cos(---)  + 6a)sin(---)
--                 9            9        9             9              9
--          + 
--               %pi 6          %pi 2     %pi 2       %pi 8          %pi 4    2
--         (4cos(---)  - 4a cos(---) )sin(---)  + cos(---)  + 6a cos(---)  + a
--                9              9         9           9              9
--   + 
--              %pi       +-+    %pi
--       (12sin(---) - 12\|3 cos(---))
--               9                9
--    *
--             +-+    %pi 2        %pi     %pi     +-+    %pi 2
--            \|3 sin(---)  + 2cos(---)sin(---) - \|3 cos(---)
--                     9            9       9              9
--       atan(-------------------------------------------------)
--                  %pi 2     +-+    %pi     %pi        %pi 2
--              sin(---)  - 2\|3 cos(---)sin(---) - cos(---)
--                   9                9       9          9
--   + 
--                 +-+ +-+    +-+
--       +-+     2\|3 \|a  - \|3
--     6\|3 atan(----------------)
--                  +-+
--                2\|a  - 2a + 1
--   + 
--                     +-+    %pi 2        %pi     %pi     +-+    %pi 2
--                    \|3 sin(---)  - 2cos(---)sin(---) - \|3 cos(---)
--           %pi               9            9       9              9
--     24sin(---)atan(-------------------------------------------------)
--            9             %pi 2     +-+    %pi     %pi        %pi 2
--                      sin(---)  + 2\|3 cos(---)sin(---) - cos(---)
--                           9                9       9          9
--   + 
--                                              %pi     %pi
--                                         2cos(---)sin(---)
--            %pi       +-+    %pi               9       9
--     (12sin(---) + 12\|3 cos(---))atan(---------------------)
--             9                9            %pi 2       %pi 2
--                                       sin(---)  - cos(---)
--                                            9           9
--   + 
--                %pi       +-+    %pi
--       (- 12sin(---) + 12\|3 cos(---))
--                 9                9
--    *
--               +-+    %pi 2        %pi     %pi     +-+    %pi 2
--              \|3 sin(---)  + 2cos(---)sin(---) - \|3 cos(---)
--                       9            9       9              9
--       atan(-----------------------------------------------------)
--              +-+       %pi 2     +-+    %pi     %pi        %pi 2
--            2\|a  + sin(---)  - 2\|3 cos(---)sin(---) - cos(---)
--                         9                9       9          9
--   + 
--                         +-+    %pi 2        %pi     %pi     +-+    %pi 2
--                        \|3 sin(---)  - 2cos(---)sin(---) - \|3 cos(---)
--             %pi                 9            9       9              9
--     - 24sin(---)atan(-----------------------------------------------------)
--              9         +-+       %pi 2     +-+    %pi     %pi        %pi 2
--                      2\|a  + sin(---)  + 2\|3 cos(---)sin(---) - cos(---)
--                                   9                9       9          9
--   + 
--                                                  %pi     %pi
--                                             2cos(---)sin(---)
--            %pi       +-+    %pi                   9       9
--     (12sin(---) + 12\|3 cos(---))atan(----------------------------)
--             9                9         +-+       %pi 2       %pi 2
--                                       \|a  - sin(---)  + cos(---)
--                                                   9           9
--   + 
--          +-+
--     2%pi\|3  - 60a
-- /
--   12
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

in20a:=integrate(log(sin(z)^2+cos(z)^2), z= 0..1,"noPole")
--
--    0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in126a:=integrate(atan(1/cot(z)), z= 0..2*%pi,"noPole")
--
--             2
--         2%pi
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in128a:=integrate(atan(sqrt(1-cos(z)^2)/(1+cos(z))), z= 0..1,"noPole")
--
--
--         1
--         -
--         4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in134:=integrate(log(exp(z)), z= -%i..%i)
--
--         0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in134a:=integrate(log(exp(z)), z= -%i..%i)
--
--         0
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)
--

in1221a:=integrate(sin(z)*csc(z)*acoth(1/z), z= 0..1,"noPole")
--
--         log(4)
--         ------
--            2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1228a:=integrate(sin(z)*csc(z)*tan(z)^(1/2), z= 0..1,"noPole")
--
--         +-+
--       2\|2
--    *
--       log
--                         2      2              3                           2
--              (- 16cos(1) sin(1)  + (- 16cos(1)  - 4cos(1))sin(1) - 4cos(1) )
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                       3           2      2           3
--          8cos(1)sin(1)  + 32cos(1) sin(1)  + (8cos(1)  + 8cos(1))sin(1) + 1
--   + 
--                             +------+
--                             |sin(1)                            2      +-+
--               2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1)  - 1)\|2
--       +-+                  \|cos(1)
--     4\|2 atan(-----------------------------------------------------------)
--                             +------+
--                           2 |sin(1)                            2  +-+
--                    2cos(1)  |------  + (- cos(1)sin(1) - cos(1) )\|2
--                            \|cos(1)
--   + 
--     -
--            +-+
--          4\|2
--       *
--                             +------+
--                             |sin(1)                              2      +-+
--               4cos(1)sin(1) |------  + (- 2cos(1)sin(1) + 2cos(1)  - 1)\|2
--                            \|cos(1)
--          atan(-------------------------------------------------------------)
--                           +------+
--                         2 |sin(1)                              2      +-+
--                  4cos(1)  |------  + (- 2cos(1)sin(1) - 2cos(1)  + 1)\|2
--                          \|cos(1)
--   + 
--                               +------+
--                               |sin(1)                            2  +-+
--                 2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1) )\|2
--         +-+                  \|cos(1)
--     - 4\|2 atan(-------------------------------------------------------)
--                           +------+
--                         2 |sin(1)                            2      +-+
--                  2cos(1)  |------  + (- cos(1)sin(1) - cos(1)  + 1)\|2
--                          \|cos(1)
--   + 
--         +-+
--     %pi\|2
-- /
--   16
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in1241a:=integrate(sin(z)*csc(z)*acoth(1/z), z= 0..1,"noPole")
--
--        log(4)
--        ------
--           2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1248a:=integrate(sin(z)*csc(z)*tan(z)^(1/2), z= 0..1,"noPole")
--
--         +-+
--       2\|2
--    *
--       log
--                         2      2              3                           2
--              (- 16cos(1) sin(1)  + (- 16cos(1)  - 4cos(1))sin(1) - 4cos(1) )
--           *
--                   +------+
--               +-+ |sin(1)
--              \|2  |------
--                  \|cos(1)
--          + 
--                       3           2      2           3
--          8cos(1)sin(1)  + 32cos(1) sin(1)  + (8cos(1)  + 8cos(1))sin(1) + 1
--   + 
--                             +------+
--                             |sin(1)                            2      +-+
--               2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1)  - 1)\|2
--       +-+                  \|cos(1)
--     4\|2 atan(-----------------------------------------------------------)
--                             +------+
--                           2 |sin(1)                            2  +-+
--                    2cos(1)  |------  + (- cos(1)sin(1) - cos(1) )\|2
--                            \|cos(1)
--   + 
--     -
--            +-+
--          4\|2
--       *
--                             +------+
--                             |sin(1)                              2      +-+
--               4cos(1)sin(1) |------  + (- 2cos(1)sin(1) + 2cos(1)  - 1)\|2
--                            \|cos(1)
--          atan(-------------------------------------------------------------)
--                           +------+
--                         2 |sin(1)                              2      +-+
--                  4cos(1)  |------  + (- 2cos(1)sin(1) - 2cos(1)  + 1)\|2
--                          \|cos(1)
--   + 
--                               +------+
--                               |sin(1)                            2  +-+
--                 2cos(1)sin(1) |------  + (- cos(1)sin(1) + cos(1) )\|2
--         +-+                  \|cos(1)
--     - 4\|2 atan(-------------------------------------------------------)
--                           +------+
--                         2 |sin(1)                            2      +-+
--                  2cos(1)  |------  + (- cos(1)sin(1) - cos(1)  + 1)\|2
--                          \|cos(1)
--   + 
--         +-+
--     %pi\|2
-- /
--   16
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1261a:=integrate(1/(sin(z)+cos(2*z)), z= -1..1,"noPole")
--
--                2         2
--       (- sin(1)  + cos(1)  + 2cos(1) + 1)
--    *
--       log
--                            2                                   2
--                  - 12sin(1)  + (42cos(1) + 48)sin(1) - 36cos(1)  - 84cos(1)
--                + 
--                  - 48
--             *
--                 +-+
--                \|3
--            + 
--                    2                                     2
--            21sin(1)  + (- 72cos(1) - 84)sin(1) + 63cos(1)  + 144cos(1) + 84
--         /
--                   2
--            4sin(1)  - 4sin(1) + 1
--   + 
--              2         2
--       (sin(1)  - cos(1)  - 2cos(1) - 1)
--    *
--       log
--                            2                                     2
--                  - 12sin(1)  + (- 42cos(1) - 48)sin(1) - 36cos(1)  - 84cos(1)
--                + 
--                  - 48
--             *
--                 +-+
--                \|3
--            + 
--                      2                                   2
--              21sin(1)  + (72cos(1) + 84)sin(1) + 63cos(1)  + 144cos(1) + 84
--         /
--                   2
--            4sin(1)  + 4sin(1) + 1
--   + 
--                           +-+
--     (- 4cos(1) - 4)sin(1)\|3
-- /
--           2          2                +-+
--   (3sin(1)  - 3cos(1)  - 6cos(1) - 3)\|3
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

in1273a:=integrate((1/(z-I))^(1/2), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1274a:=integrate(1/(1/(z-I))^(1/2), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1278a:=integrate((1+1/(I*z)^(1/2))^(1/2), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1284a:=integrate(log(1+2^(1/2)/z^(1/4)-1/z^(1/2)), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
 
in1314a:=integrate(log(1-z)*atanh(z^(1/2)), z= 0..1,"noPole")
--         log(16) - 6
--         -----------
--              2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1359a:=integrate((I*z)^(1/2)*(-I*z)^(1/2), z= %minusInfinity..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1376a:=integrate(z*acoth(z^(1/2)), z= 0..1,"noPole")
--
--         2
--         -
--         3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1377a:=integrate(z*acoth(1-z), z= 0..1,"noPole")
--
--         log(4) - 1
--         ----------
--              2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1378a:=integrate(z*acoth(1-(1-z)^(1/2)), z= 0..1,"noPole")
--
--         - 3log(4) + 5
--         -------------
--               3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1392a:=integrate(acoth(z^(1/2)), z= 0..1,"noPole")
--
--          1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1397a:=integrate(1/(-1+z^(1/2))^(1/2), z= 1..2,"noPole")
--
--                      +--------+
--             +-+      | +-+
--          (4\|2  + 8)\|\|2  - 1
--          ----------------------
--                     3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1398a:=integrate(acoth(1/z), z= 1..2,"noPole")
--
--          3log(9) - 2log(4)
--          -----------------
--                  4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1399a:=integrate(acoth(1/z^(1/2)), z= 1..2,"noPole")
--
--                  +-+
--              - 2\|2  - 3      +-+
--          log(-----------) + 4\|2  - 4
--                 +-+
--               2\|2  - 3
--          ----------------------------
--                        4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in143a:=integrate(sqrt(1+z)/(1+z^2), z= 0..1,"noPole")
--
--         4+-+    %pi
--         \|2 cos(---)
--                  8
--      *
--         log
--                %pi 4     +-+4+-+3    %pi 3         %pi 2     4+-+2     %pi 2
--           2sin(---)  + 4\|2 \|2  sin(---)  + (4cos(---)  + 12\|2  )sin(---)
--                 8                     8             8                   8
--         + 
--              +-+4+-+3    %pi 2     +-+4+-+     %pi         %pi 4
--           (4\|2 \|2  cos(---)  + 8\|2 \|2 )sin(---) + 2cos(---)
--                           8                     8           8
--         + 
--            4+-+2    %pi 2
--           4\|2  cos(---)  + 4
--                      8
--     + 
--       -
--            4+-+    %pi
--            \|2 cos(---)
--                     8
--         *
--            log
--                     %pi 4    4+-+3    %pi 3         %pi 2    4+-+2     %pi 2
--                2sin(---)  + 4\|2  sin(---)  + (4cos(---)  + 6\|2  )sin(---)
--                      8                 8             8                  8
--              + 
--                  4+-+3    %pi 2    4+-+     %pi         %pi 4
--                (4\|2  cos(---)  + 4\|2 )sin(---) + 2cos(---)
--                            8                 8           8
--              + 
--                 4+-+2    %pi 2
--                2\|2  cos(---)  + 1
--                           8
--   + 
--       4+-+    %pi
--       \|2 cos(---)
--                8
--    *
--       log
--                %pi 4    4+-+3    %pi 3         %pi 2    4+-+2     %pi 2
--           2sin(---)  - 4\|2  sin(---)  + (4cos(---)  + 6\|2  )sin(---)
--                 8                 8             8                  8
--         + 
--               4+-+3    %pi 2    4+-+     %pi         %pi 4    4+-+2    %pi 2
--           (- 4\|2  cos(---)  - 4\|2 )sin(---) + 2cos(---)  + 2\|2  cos(---)
--                         8                 8           8                 8
--         + 
--            1
--   + 
--       -
--            4+-+    %pi
--            \|2 cos(---)
--                     8
--         *
--            log
--                      %pi 4     +-+4+-+3    %pi 3
--                 2sin(---)  - 4\|2 \|2  sin(---)
--                       8                     8
--               + 
--                       %pi 2     4+-+2     %pi 2
--                 (4cos(---)  + 12\|2  )sin(---)
--                        8                   8
--               + 
--                      +-+4+-+3    %pi 2     +-+4+-+     %pi         %pi 4
--                 (- 4\|2 \|2  cos(---)  - 8\|2 \|2 )sin(---) + 2cos(---)
--                                   8                     8           8
--               + 
--                  4+-+2    %pi 2
--                 4\|2  cos(---)  + 4
--                            8
--    + 
--                               4+-+    %pi
--                               \|2 cos(---)
--          4+-+    %pi                   8
--       - 4\|2 sin(---)atan(-------------------)
--                   8       4+-+    %pi     +-+
--                           \|2 sin(---) - \|2
--                                    8
--    + 
--                        4+-+    %pi                           4+-+    %pi
--                        \|2 cos(---)                          \|2 cos(---)
--     4+-+    %pi                 8         4+-+    %pi                 8
--    4\|2 sin(---)atan(----------------) - 4\|2 sin(---)atan(----------------)
--              8       4+-+    %pi                   8       4+-+    %pi
--                      \|2 sin(---) - 1                      \|2 sin(---) + 1
--                               8                                     8
--    + 
--                             4+-+    %pi
--                             \|2 cos(---)
--        4+-+    %pi                   8
--       4\|2 sin(---)atan(-------------------)
--                 8       4+-+    %pi     +-+
--                         \|2 sin(---) + \|2
--                                  8
--  /
--     4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in144:=integrate(1, z= I*infinity..%plusInfinity)
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in146a:=integrate(csc(z), z= 1-%i..1+%i,"noPole")
--
--                          2                                    2
--                sin(I + 1)                           sin(I - 1)
--   log(-----------------------------) - log(-----------------------------)
--                 2                                    2
--       cos(I + 1)  + 2cos(I + 1) + 1        cos(I - 1)  + 2cos(I - 1) + 1
--   -----------------------------------------------------------------------
--                                      2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in148:=integrate(min(1,z), z= 0..2)
--
--    2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in156a:=integrate(z^(2/3), z= 1..10,"noPole")
--
--           3+--+2
--         30\|10   - 3
--         ------------
--               5
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in159a:=integrate(log(z)/z^2, z= -%i..-1,"noPole")
--
--                2
--         - log(I ) + 2I - 2
--         ------------------
--                 2I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in160:=integrate((-z^2-z)^sin(z), z)
--
--            z
--          ++       2      sin(%R)
--          |   (- %R  - %R)       d%R
--         ++
--                                          Type: Union(Expression Integer,...)

in1425a:=integrate(-(z^2+I*z+3)/(z^2+I*z+2), z= 0..%plusInfinity,"noPole")
--
--     [- infinity,- infinity]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1426a:=integrate(-I/(1+I*z^3)*z^3, z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1428a:=integrate(-I/(1+I*z)*z, z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1432:=integrate(-(z+I)*(-1+1/(z+I)), z= 0..%plusInfinity)
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1433a:=integrate(-1/((I*z)^(1/2)-1)*(-2+(I*z)^(1/2)), z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1434a:=integrate(-(1+(I*z)^(1/2))/(I*z)^(1/2), z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1435a:=integrate(-1/(1+(I*z)^(1/2))*(I*z)^(1/2), z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1436a:=integrate(-((I*z)^(1/2)-1)/(-2+(I*z)^(1/2)), z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1440a:=integrate((1-(I*z)^(1/2))/(I*z)^(1/2), z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1460:=integrate(z^2+I*z+3, z= 0..%plusInfinity)
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1463a:=integrate(1-(I*z)^(1/2)/(1-I*z), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1464a:=integrate(1+1/(I*z)^(1/2), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2045:=integrate(atan(1/tan(z)), z= 0..2*%pi)
--
--        2  
--  - 3%pi
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

in1502a:=integrate(log(z)^2*log(-z), z= 0..%plusInfinity)
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1512a:=integrate(log(z)*(1/(z-I))^(1/2), z= 1..%plusInfinity,"noPole")
--
--  [ + infinity, + infinity]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1513a:=integrate(log(z)*(1/(z+I))^(1/2), z= 1..%plusInfinity,"noPole")
--
--  [ + infinity, + infinity]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1514a:=integrate(log(z)/(I/(z-I))^(1/2), z= 1..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1563a:=integrate(log(1-z^3)*(I*z)^(1/2), z= 0..1,"noPole")
--
--                   2
--                16I          2                +-+
--           (log(----) - log(I ) + log(9) - 4)\|I
--                  9
--          [--------------------------------------,- infinity]
--                              3
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in161:=integrate((-z^2)^(1/3), z)
--            +----+
--           3|   2
--         3z\|- z
--   (81)  ---------
--             5
--                                          Type: Union(Expression Integer,...)

in163:=integrate(log(z)*abs(exp(z)/z), z)
--
--            z              %K
--          ++             %e
--          |   log(%K)abs(----)d%K
--         ++               %K
--                                          Type: Union(Expression Integer,...)

in166:=integrate((1+z)^z, z)
--
--            z
--          ++          %K
--          |   (%K + 1)  d%K
--         ++
--                                          Type: Union(Expression Integer,...)

in179:=integrate(1/(1+(3*z+1)^2), z)
--
--          atan(3z + 1)
--          ------------
--                3
--                                          Type: Union(Expression Integer,...)

in1636a:=integrate(-z/(z-1)/(1/(z-I))^(1/2), z= 0..1,"noPole")
--
--   [ + infinity,
--
--                         +-------+                    +---+
--           +-----+      \|- I + 1       +-----+      \|- I
--         6\|I - 1 log(- ----------) - 6\|I - 1 atan(--------)
--                           +-----+                   +-----+
--                         2\|I - 1                   \|I - 1
--       + 
--                  +-------+              +---+
--         (2I - 8)\|- I + 1  + (- 2I + 6)\|- I
--    /
--       3
--     ]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)
--

in1638a:=integrate(-z/(z-1)/(1-I*z)^(1/2), z= 0..1,"noPole")
--
--   [ + infinity,
--
--                     +-------+ +-----+             +-----+
--                    \|- I + 1 \|I - 1             \|I - 1
--         - 2I log(- ------------------) + 2I atan(--------)
--                          2I - 2                    I - 1
--       + 
--            +-------+      +-----+
--         (2\|- I + 1  - 2)\|I - 1
--    /
--         +-----+
--       I\|I - 1
--     ]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1639a:=integrate(-z/(z-1)/(1-I*z^2)^(1/2), z= 0..1,"noPole")
--
--  [ + infinity,
--
--           +-----+
--          \|I - 1
--       *
--          log
--                     2       +---+     2       +-------+        2       +---+
--                 ((2I  - 4I)\|- I  + 4I  - 2I)\|- I + 1  + (- 4I  + 4I)\|- I
--               + 
--                   3     2
--                 2I  - 5I  + 2I
--            /
--                 +-------+
--               2\|- I + 1  + I - 2
--      + 
--                       +-------+          +-----+                 +-----+
--          +---+    (- \|- I + 1  - I + 1)\|I - 1       +---+     \|I - 1
--        4\|- I log(------------------------------) + 4\|- I atan(--------)
--                              +-------+                            I - 1
--                     (2I - 2)\|- I + 1  - 2I + 2
--      + 
--                   +-----+
--        - log(- I)\|I - 1
--   /
--        +---+ +-----+
--      2\|- I \|I - 1
--    ,
--    + infinity,
--
--                      +-------+          +-----+
--          +-+    (- \|- I + 1  - I + 1)\|I - 1
--        2\|I log(------------------------------)
--                            +-------+
--                   (2I - 2)\|- I + 1  - 2I + 2
--      + 
--                        +-------+      +-+               +-----+
--          +-----+     (\|- I + 1  - 1)\|I       +-+     \|I - 1
--        2\|I - 1 atan(--------------------) + 2\|I atan(--------)
--                                I                         I - 1
--   /
--       +-----+ +-+
--      \|I - 1 \|I
--    ]
--              Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1712a:=integrate(-log(-z)*(-I*z)^(1/2), z= 0..1,"noPole")
--
--           +---+
--         4\|- I
--         -------
--            9
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1720a:=integrate(-z^2/(z^2-1)*(1/(z-I))^(1/2), z= 0..1,"noPole")
--
-- [ + infinity,
--
--          +-----+         2            +-------+ +---+     3      2
--       - \|I - 1 log((- 8I  - 12I - 4)\|- I - 1 \|- I  - 8I  - 16I  - 9I - 1)
--     + 
--        +-----+         2       +-------+ +-------+     3     2
--       \|I - 1 log((- 2I  - 2I)\|- I - 1 \|- I + 1  - 2I  - 2I  + I + 1)
--     + 
--                           +-------+ +-----+
--           +-------+      \|- I + 1 \|I - 1
--       - 4\|- I - 1 log(- ------------------)
--                                2I - 2
--     + 
--                        +---+ +-----+
--         +-------+     \|- I \|I - 1
--       4\|- I - 1 atan(--------------)
--                            I - 1
--     + 
--            +-------+ +-------+     +-------+ +---+  +-----+
--       (- 8\|- I - 1 \|- I + 1  + 8\|- I - 1 \|- I )\|I - 1
--  /
--       +-------+ +-----+
--     4\|- I - 1 \|I - 1
--   ,
--   + infinity,
--
--                        +-------+ +-----+                  +-------+ +-----+
--          +-----+      \|- I + 1 \|I - 1      +-----+     \|- I + 1 \|I + 1
--       - \|I + 1 log(- ------------------) + \|I - 1 atan(------------------)
--                             2I - 2                              I + 1
--     + 
--                       +---+ +-----+                  +---+ +-----+
--          +-----+     \|- I \|I + 1      +-----+     \|- I \|I - 1
--       - \|I - 1 atan(--------------) + \|I + 1 atan(--------------)
--                           I + 1                          I - 1
--     + 
--            +-------+     +---+  +-----+ +-----+
--       (- 2\|- I + 1  + 2\|- I )\|I - 1 \|I + 1
--  /
--      +-----+ +-----+
--     \|I - 1 \|I + 1
--   ]
--             Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1721a:=integrate(-z^2/(z^2-1)/(1/(z-I))^(1/2), z= 0..1,"noPole")
--
--   [ + infinity,  + infinity,
--
--           +-------+       +-------+ +-------+     2
--         3\|- I - 1 log(2I\|- I - 1 \|- I + 1  + 2I  - 1)
--       + 
--             +-------+             +-------+ +---+     2
--         - 3\|- I - 1 log((8I + 4)\|- I - 1 \|- I  + 8I  + 8I + 1)
--       + 
--                          +-------+                     +---+
--            +-----+      \|- I + 1        +-----+      \|- I
--         12\|I - 1 log(- ----------) - 12\|I - 1 atan(--------)
--                            +-----+                    +-----+
--                          2\|I - 1                    \|I - 1
--       + 
--                  +-------+      +---+
--         (8I - 8)\|- I + 1  - 8I\|- I
--    /
--       12
--     ,
--
--                         +-------+                    +---+
--           +-----+      \|- I + 1       +-----+      \|- I
--         3\|I - 1 log(- ----------) - 3\|I - 1 atan(--------)
--                           +-----+                   +-----+
--                         2\|I - 1                   \|I - 1
--       + 
--                          +-------+                    +---+
--             +-----+     \|- I + 1       +-----+      \|- I
--         - 3\|I + 1 atan(----------) + 3\|I + 1 atan(--------)
--                           +-----+                    +-----+
--                          \|I + 1                    \|I + 1
--       + 
--                  +-------+      +---+
--         (2I - 2)\|- I + 1  - 2I\|- I
--    /
--       3
--     ]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1723a:=integrate(-z^2/(z^2-1)*(1+I/z)^(1/2), z= 0..1,"noPole")
--
-- [ + infinity,  + infinity,
--
--                                                                   +-----+
--                 +-----+                +-+      +-------+        \|I + 1
--       - 2I log(\|I + 1  + 1) + 2I log(\|I ) + 4\|- I - 1 log(- -----------)
--                                                                  +-------+
--                                                                2\|- I - 1
--     + 
--                 +-----+
--       I log(- 2\|I + 1  + I + 2)
--     + 
--        +-------+        +-------+ +-----+    2          +-----+
--       \|- I + 1 log(- 2\|- I + 1 \|I + 1  - I  + 2) - 4\|I + 1
--     + 
--              2  +-------+        +-------+
--       - log(I )\|- I + 1  - 2%pi\|- I - 1  - I log(I)
--  /
--     4
--   ,
--
--                                                                   +-----+
--                 +-----+                +-+      +-------+        \|I + 1
--       - 2I log(\|I + 1  + 1) + 2I log(\|I ) + 4\|- I - 1 log(- -----------)
--                                                                  +-------+
--                                                                2\|- I - 1
--     + 
--                                                   +-----+
--                 +-----+              +-----+     \|I - 1       +-----+
--       I log(- 2\|I + 1  + I + 2) + 4\|I - 1 atan(--------) - 4\|I + 1
--                                                   +-----+
--                                                  \|I + 1
--     + 
--              +-------+
--       - 2%pi\|- I - 1  - I log(I)
--  /
--     4
--   ]
--             Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1724a:=integrate(-z^2/(z^2-1)*(1-(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
--
--                           +----------+
--            +-+            |   +-+
--         (4\|I  - 12I + 8)\|- \|I  + 1  - 8
--         ----------------------------------
--                         15I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1731:=integrate(-log(1-z^2)*atanh(z), z= 0..1)
--
--                 2
--         - log(4)  + 4log(4)
--         -------------------
--                  4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1793a:=integrate((1-z^(1/2))^(1/2)*acoth(z^(1/2)), z= 0..1,"noPole")
--
--             +-+       +-+
--         - 2\|2 log(12\|2  + 17) + 16
--         ----------------------------
--                      15
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1794a:=integrate((1-z^(1/2))^(1/2)*acoth(1-z^(1/2)), z= 0..1,"noPole")
--
--         - 4log(2) - 8%pi + 32
--         ---------------------
--                   15
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1796a:=integrate((1+(1-z)^(1/2))^(1/2), z= 0..1,"noPole")
--
--           +-+
--         8\|2  + 8
--         ---------
--             15
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in183:=integrate(1/z, z= %i..2*%i)
--
--               2         2
--         log(4I ) - log(I )
--         ------------------
--                  2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)


in184:=integrate(exp(I*z), z= %i..2*%i)
--
--             2      2
--           2I      I
--         %e    - %e
--   (29)  ------------
--               I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in184a:=integrate(exp(%i*z), z= %i..2*%i)
--
--              2
--         %i %e  - %i %e
--   (30)  --------------
--                  2
--             %e %e
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in187a:=integrate(2^log(z), z= -%i..%i,"noPole")
--
--             log(2)log(I)       log(2)log(- I)
--         I %e             + I %e
--         -------------------------------------
--                       log(2) + 1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in187a:=integrate(2^log(z), z= -%i..%i,"noPole")
--
--              log(%i)log(2)        log(- %i)log(2)
--         %i %e              + %i %e
--         -----------------------------------------
--                         log(2) + 1
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in194a:=integrate(sqrt(z^2), z= 1..2,"noPole")
--
--         3
--   (43)  -
--         2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1854a:=integrate(1/(z-1)/(1/(z-I))^(1/2), z= 0..1,"noPole")
--
--   [- infinity,
--
--                         +-------+                    +---+
--           +-----+      \|- I + 1       +-----+      \|- I        +-------+
--       - 2\|I - 1 log(- ----------) + 2\|I - 1 atan(--------) + 2\|- I + 1
--                           +-----+                   +-----+
--                         2\|I - 1                   \|I - 1
--     + 
--           +---+
--       - 2\|- I
--     ]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1856a:=integrate(1/(z-1)/(1-I*z)^(1/2), z= 0..1,"noPole")
--
--                            +-------+ +-----+           +-----+
--                           \|- I + 1 \|I - 1           \|I - 1
--                    2log(- ------------------) - 2atan(--------)
--                                 2I - 2                  I - 1
--        [- infinity,--------------------------------------------]
--                                       +-----+
--                                      \|I - 1
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1859a:=integrate(1/(z^2-1)*(1+1/z^3)^(1/2), z= 0..1,"noPole")
--
--             +-------------------+
--             |        2
--         (- \|- 3%%EM0  - 2 + 6%i  - %%EM0)
--      *
--         log
--                                +--+                                 +--+
--                    ((8 + 72%i)\|%i  + 10 + 8%i)%%EM0 + (- 2 - 18%i)\|%i  + 2
--                  + 
--                    18%i
--             *
--                 +-------------------+
--                 |        2
--                \|- 3%%EM0  - 2 + 6%i
--            + 
--                            +--+                 2
--              ((- 8 - 72%i)\|%i  - 10 - 8%i)%%EM0
--            + 
--                            +--+                                  +--+
--              ((- 2 - 18%i)\|%i  + 2 + 18%i)%%EM0 + (- 128 - 4%i)\|%i  - 68
--            + 
--              - 120%i
--     + 
--           +-------------------+
--           |        2
--         (\|- 3%%EM0  - 2 + 6%i  + %%EM0)
--      *
--         log
--                                           +-------------------+
--                                           |        2
--              ((10 + 8%i)%%EM0 + 2 + 18%i)\|- 3%%EM0  - 2 + 6%i
--            + 
--                               2
--              (- 10 - 8%i)%%EM0  + (2 + 18%i)%%EM0 - 50 - 40%i
--     + 
--             +-------------------+
--             |        2
--         (- \|- 3%%EM0  - 2 + 6%i  + %%EM0)
--      *
--         log
--                                             +-------------------+
--                                             |        2
--              ((- 10 - 8%i)%%EM0 - 2 - 18%i)\|- 3%%EM0  - 2 + 6%i
--            + 
--                               2
--              (- 10 - 8%i)%%EM0  + (2 + 18%i)%%EM0 - 50 - 40%i
--     + 
--           +-------------------+
--           |        2
--         (\|- 3%%EM0  - 2 + 6%i  - %%EM0)
--      *
--         log
--                                  +--+                               +--+
--                    ((- 8 - 72%i)\|%i  - 10 - 8%i)%%EM0 + (2 + 18%i)\|%i  - 2
--                  + 
--                    - 18%i
--             *
--                 +-------------------+
--                 |        2
--                \|- 3%%EM0  - 2 + 6%i
--            + 
--                            +--+                 2
--              ((- 8 - 72%i)\|%i  - 10 - 8%i)%%EM0
--            + 
--                            +--+                                  +--+
--              ((- 2 - 18%i)\|%i  + 2 + 18%i)%%EM0 + (- 128 - 4%i)\|%i  - 68
--            + 
--              - 120%i
--     + 
--         2%%EM0
--      *
--         log
--                          +--+                 2
--              ((72 - 8%i)\|%i  + 8 - 10%i)%%EM0
--            + 
--                         +--+                                +--+
--             ((18 - 2%i)\|%i  - 18 + 2%i)%%EM0 + (22 - 48%i)\|%i  - 71 + 17%i
--     + 
--                                   2
--       - 2%%EM0 log((8 - 10%i)%%EM0  + (- 18 + 2%i)%%EM0 - 31 + 8%i)
--  /
--     4
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in1863a:=integrate(1/(z^2-1)*(1/(z-I))^(1/2), z= 0..1,"noPole")
-- [- infinity,
--
--        +-----+       2       +-------+ +-------+     3     2
--       \|I - 1 log((2I  + 2I)\|- I - 1 \|- I + 1  - 2I  - 2I  + I + 1)
--     + 
--          +-----+       2            +-------+ +---+     3      2
--       - \|I - 1 log((8I  + 12I + 4)\|- I - 1 \|- I  - 8I  - 16I  - 9I - 1)
--     + 
--                         +-------+ +-----+                     +---+ +-----+
--         +-------+      \|- I + 1 \|I - 1       +-------+     \|- I \|I - 1
--       4\|- I - 1 log(- ------------------) - 4\|- I - 1 atan(--------------)
--                              2I - 2                               I - 1
--  /
--       +-------+ +-----+
--     4\|- I - 1 \|I - 1
--   ,
--  - infinity,
--
--                      +-------+ +-----+                  +-------+ +-----+
--        +-----+      \|- I + 1 \|I - 1      +-----+     \|- I + 1 \|I + 1
--       \|I + 1 log(- ------------------) - \|I - 1 atan(------------------)
--                           2I - 2                              I + 1
--     + 
--                     +---+ +-----+                  +---+ +-----+
--        +-----+     \|- I \|I + 1      +-----+     \|- I \|I - 1
--       \|I - 1 atan(--------------) - \|I + 1 atan(--------------)
--                         I + 1                          I - 1
--  /
--      +-----+ +-----+
--     \|I - 1 \|I + 1
--   ]
--             Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1864a:=integrate(1/(z^2-1)*((1+z)/(z-1))^(1/3), z= 0..1,"noPole")
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1866a:=integrate(1/(z^2-1)*(1-I/z)^(1/2), z= 0..1,"noPole")
-- [- infinity,
--
--                                                                    +-----+
--       +-----+      +-------+ +-----+    2          +-----+        \|I - 1
--      \|I + 1 log(2\|- I + 1 \|I + 1  - I  + 2) + 4\|I - 1 log(- -----------)
--                                                                   +-------+
--                                                                 2\|- I + 1
--     + 
--              2  +-----+
--       - log(I )\|I + 1
--  /
--     4
--   ,
--  - infinity,
--                    +-----+                      +-------+
--    +-----+        \|I - 1        +-------+     \|- I + 1         +-------+
--  2\|I - 1 log(- -----------) + 2\|- I - 1 atan(----------) - %pi\|- I - 1
--                   +-------+                     +-------+
--                 2\|- I + 1                     \|- I - 1
--  -------------------------------------------------------------------------]
--                                      2
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1867a:=integrate(1/(z^2-1)*(1-(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
--    0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1869a:=integrate(1/(z^2-1)*(1-1/(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
--    0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1870a:=integrate(1/(z^2-1)/(1+(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
--    0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1872a:=integrate(1/(z^2-1)/(I/(z+I))^(1/2), z= 0..1,"noPole")
--
--   [ + infinity,  + infinity,
--
--          +-----+               +-----+ +-----+
--          |I - 1        2       |I - 1  |  I        2
--          |----- log((2I  + 2I) |-----  |-----  + 2I  - 1)
--         \|  I                 \|  I   \|I + 1
--       + 
--            +-----+               +-----+
--            |I - 1        2       |I - 1      2
--         -  |----- log((8I  - 4I) |-----  + 8I  - 8I + 1)
--           \|  I                 \|  I
--       + 
--                                     +-----+
--                                     |  I
--              +-------+    (- I - 1) |-----       +-------+
--              |- I - 1              \|I + 1       |- I - 1         I + 1
--         - 4  |------- log(----------------- + 4  |------- atan(-----------)
--             \|   I              +-------+       \|   I           +-------+
--                                 |- I - 1                         |- I - 1
--                              2I |-------                       I |-------
--                                \|   I                           \|   I
--    /
--       4
--     ,
--
--                                 +-----+                           +-----+
--                                 |  I                              |  I
--          +-------+    (- I - 1) |-----      +-------+     (I - 1) |-----
--          |- I - 1              \|I + 1      |- I + 1             \|I + 1
--       -  |------- log(-----------------) +  |------- atan(---------------)
--         \|   I              +-------+      \|   I             +-------+
--                             |- I - 1                          |- I + 1
--                          2I |-------                        I |-------
--                            \|   I                            \|   I
--     + 
--        +-------+                     +-------+
--        |- I - 1         I + 1        |- I + 1         I - 1
--        |------- atan(-----------) -  |------- atan(-----------)
--       \|   I           +-------+    \|   I           +-------+
--                        |- I - 1                      |- I + 1
--                      I |-------                    I |-------
--                       \|   I                        \|   I
--     ]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in1933a:=integrate(atan(z)/z/(z*(1+z))^(1/2), z= 0..1,"noPole")
--
--         +-+     4+-+    %pi
--       (\|2  - 1)\|2 cos(---)
--                          8
--    *
--            4+-+2    %pi 2     4+-+3    4+-+     %pi     4+-+2
--       log(4\|2  sin(---)  + (4\|2   + 4\|2 )sin(---) + 2\|2   + 3)
--                      8                           8
--   + 
--           +-+     4+-+    %pi
--       (- \|2  + 1)\|2 cos(---)
--                            8
--    *
--            4+-+2    %pi 2       4+-+3    4+-+     %pi     4+-+2
--       log(4\|2  sin(---)  + (- 4\|2   - 4\|2 )sin(---) + 2\|2   + 3)
--                      8                             8
--   + 
--           +-+     4+-+    %pi
--       (- \|2  + 1)\|2 cos(---)
--                            8
--    *
--       log
--             4+-+2    %pi 2
--            4\|2  sin(---)
--                       8
--          + 
--                 +-+     4+-+2    %pi     4+-+3        +-+      4+-+     %pi
--           ((- 8\|2  + 8)\|2  cos(---) + 4\|2   + (- 8\|2  + 16)\|2 )sin(---)
--                                   8                                      8
--          + 
--                 +-+      4+-+2    %pi 2
--            (- 8\|2  + 12)\|2  cos(---)
--                                    8
--          + 
--                  +-+     4+-+3         +-+      4+-+     %pi
--            ((- 4\|2  + 4)\|2   + (- 24\|2  + 32)\|2 )cos(---)
--                                                           8
--          + 
--                 +-+     4+-+2      +-+
--            (- 4\|2  + 8)\|2   - 16\|2  + 26
--   + 
--         +-+     4+-+    %pi
--       (\|2  - 1)\|2 cos(---)
--                          8
--    *
--       log
--             4+-+2    %pi 2
--            4\|2  sin(---)
--                       8
--          + 
--                  +-+     4+-+2    %pi     4+-+3      +-+      4+-+     %pi
--            ((- 8\|2  + 8)\|2  cos(---) - 4\|2   + (8\|2  - 16)\|2 )sin(---)
--                                    8                                    8
--          + 
--                 +-+      4+-+2    %pi 2
--            (- 8\|2  + 12)\|2  cos(---)
--                                    8
--          + 
--                +-+     4+-+3       +-+      4+-+     %pi
--            ((4\|2  - 4)\|2   + (24\|2  - 32)\|2 )cos(---)
--                                                       8
--          + 
--                 +-+     4+-+2      +-+
--            (- 4\|2  + 8)\|2   - 16\|2  + 26
--   + 
--                                     4+-+    %pi
--                                     \|2 sin(---) + 1
--        +-+     4+-+    %pi                   8
--     (4\|2  - 4)\|2 sin(---)atan(-----------------------)
--                         8       4+-+    %pi     +-+
--                                 \|2 cos(---) - \|2  + 1
--                                          8
--   + 
--                                   4+-+    %pi
--                                   \|2 sin(---) + 1
--          +-+     4+-+    %pi               8
--     (- 4\|2  + 4)\|2 sin(---)atan(----------------)
--                           8         4+-+    %pi
--                                     \|2 cos(---)
--                                              8
--   + 
--                                 4+-+    %pi
--                                 \|2 sin(---) - 1
--        +-+     4+-+    %pi               8
--     (4\|2  - 4)\|2 sin(---)atan(----------------)
--                         8         4+-+    %pi
--                                   \|2 cos(---)
--                                            8
--   + 
--                                       4+-+    %pi
--                                       \|2 sin(---) - 1
--          +-+     4+-+    %pi                   8                 +-+
--     (- 4\|2  + 4)\|2 sin(---)atan(-----------------------) + %pi\|2  - 2%pi
--                           8       4+-+    %pi     +-+
--                                   \|2 cos(---) + \|2  - 1
--                                            8
-- /
--     +-+
--   2\|2  - 2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1945a:=integrate(acoth((1-z)/(1+z)), z= 0..1,"noPole")
--
--         1
--         -
--         2
--                   Type: Union(f1: OrderedCompletion Expression Integer,...)

in1946a:=integrate(acoth((1-z)/(1+z))*z, z= 0..1,"noPole")
--
--         1
--         -
--         8
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1947a:=integrate(acoth((1-z)/(1+z))*z^(1/2), z= 0..1,"noPole")
--
--         2
--         -
--         9
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1950a:=integrate(acoth((1-z)/(1+z))/(1-z)^(1/2), z= 0..1,"noPole")
--
--         - log(4) - 2log(2) + 4
--         ----------------------
--                    2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1952a:=integrate(acoth((1-z)/(1+z))*(I*z)^(1/2), z= 0..1,"noPole")
--
--           +-+
--         2\|I
--         -----
--           9
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in1954a:=integrate(acoth((1-z)/(1+z))/(I*z)^(1/2), z= 0..1,"noPole")
--
--           +-+
--         2\|I
--         -----
--           I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in202a:=integrate(acsc(z), z= 0..1/2,"noPole")
--
--                      +-+ +-+
--            +-+     2\|2 \|3             +-+
--        - 6\|2 atan(---------) - 3atan(4\|3 ) + 2%pi
--                        5
--        --------------------------------------------
--                             12
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in206a:=integrate(sqrt(1-1/z), z= %pi..2*%pi,"noPole")
--
--               +--------+              +-------+
--               |2%pi - 1               |%pi - 1
--       - 2log( |--------  + 1) + 2log( |-------  + 1)
--              \|  2%pi                \|  %pi
--     + 
--                    +-------+                          +--------+
--                    |%pi - 1                           |2%pi - 1
--             - 2%pi |-------  + 2%pi - 1        - 4%pi |--------  + 4%pi - 1
--                   \|  %pi                            \|  2%pi
--       - log(---------------------------) + log(----------------------------)
--                         %pi                                2%pi
--     + 
--            +--------+        +-------+
--            |2%pi - 1         |%pi - 1
--       8%pi |--------  - 4%pi |-------
--           \|  2%pi          \|  %pi
--  /
--     4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in211:=integrate(acos(sin(2*z))*cos(z), z= 0..4*%pi/3)
--
--                +-+
--          13%pi\|3  + 36
--          --------------
--                12
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in213a:=integrate(log(abs(1+1/(-z)^(1/3))), z= 0..1,"noPole")
--
--                                  3+---+2    3+---+
--      3+---+2   3+---+            \|- 1   + 2\|- 1  + 1    3+---+2    3+---+
-- - log(\|- 1  + 2\|- 1  + 1) + log(---------------------) - \|- 1   + 2\|- 1
--                                           3+---+2
--                                           \|- 1
-- ----------------------------------------------------------------------------
--                                       2
--                Type: Union(f1: OrderedCompletion Expression Integer,...)

in216a:=integrate(1/(1/z-1)^(1/3), z= 0..1,"noPole")
--
--           2%pi
--          -----
--            +-+
--          3\|3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2023a:=integrate((1-z)/(-1+z^(1/2)), z= 1..2,"noPole")
--
--             +-+
--         - 4\|2  - 1
--   (33)  -----------
--              3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2024a:=integrate(log(1-1/z)+csc(z-1), z= 0..1,"noPole")
--
--   (32)  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2032a:=integrate(acoth(z)/z^(1/2), z= 0..1,"noPole")
--
--         - 2log(2) + %pi
--   (30)  ---------------
--                2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2040a:=integrate(log(1-1/z^4)+cot(z), z= -1..1,"noPole")
--
--   (24)  log(16) + log(4) + %pi
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2050a:=integrate(-csc(z-1)-1/z^(1/3), z= -1..1,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2051a:=integrate((z^2+I*z-1)^(1/2)*z, z= -1..1,"noPole")
--
--                 7        5        3          +---+      8       7       6
--            (108I  - 1776I  - 7104I  + 6912I)\|- I  - 18I  + 228I  + 936I
--          + 
--                   5        4        3        2
--            - 1104I  + 2208I  - 7488I  - 7296I  + 2304I
--       *
--           +-+
--          \|I
--      + 
--                   8       7       6        5        4        3        2
--              - 18I  - 228I  + 936I  + 1104I  + 2208I  + 7488I  - 7296I
--            + 
--              - 2304I
--       *
--           +---+
--          \|- I
--      + 
--          9       7         3
--        3I  - 744I  + 11904I  - 768I
--   *
--                     +---+    2
--      log((- 4I + 8)\|- I  + I  - 8I + 4)
--  + 
--                   7        5        3          +---+      8       7       6
--            (- 108I  + 1776I  + 7104I  - 6912I)\|- I  + 18I  - 228I  - 936I
--          + 
--                 5        4        3        2
--            1104I  - 2208I  + 7488I  + 7296I  - 2304I
--       *
--           +-+
--          \|I
--      + 
--              8       7       6        5        4        3        2
--          (18I  + 228I  - 936I  - 1104I  - 2208I  - 7488I  + 7296I  + 2304I)
--       *
--           +---+
--          \|- I
--      + 
--            9       7         3
--        - 3I  + 744I  - 11904I  + 768I
--   *
--                     +-+    2
--      log((- 4I - 8)\|I  + I  + 8I + 4)
--  + 
--              6         4        2  +---+      8       7        6        5
--        (1728I  - 10752I  - 5120I )\|- I  - 12I  - 424I  + 2736I  + 6816I
--      + 
--               4        3        2
--        - 6208I  + 1152I  - 3840I  - 512I
--   *
--       +-+
--      \|I
--  + 
--        8       7        6        5        4        3        2         +---+
--    (12I  - 424I  - 2736I  + 6816I  + 6208I  + 1152I  + 3840I  - 512I)\|- I
--  + 
--        8        6        4        2
--    144I  - 6848I  + 3840I  + 3072I
-- /
--              4         2          +---+       5        4         3         2
--        (3456I  - 70656I  + 55296)\|- I  - 576I  + 7296I  + 32256I  - 64512I
--      + 
--        - 58368I + 18432
--   *
--       +-+
--      \|I
--  + 
--           5        4         3         2                   +---+      6
--    (- 576I  - 7296I  + 32256I  + 64512I  - 58368I - 18432)\|- I  + 96I
--  + 
--            4         2
--    - 24192I  + 96768I  - 6144
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2053a:=integrate(atan(2*z-1), z= 0..infinity,"noPole")
--
--                      4            3            2
--       - log(4infinity  - 8infinity  + 8infinity  - 4infinity + 1)
--     + 
--                                  2infinity - 1
--       (- 4infinity + 2)atan(----------------------) - %pi
--                                      2
--                             2infinity  - 2infinity
--  /
--     8
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2054:=integrate(atan(1/z^(1/2))+1, z= -1..1)
--
--                      4            3            2
--       - log(4infinity  - 8infinity  + 8infinity  - 4infinity + 1)
--     + 
--                                  2infinity - 1
--       (- 4infinity + 2)atan(----------------------) - %pi
--                                      2
--                             2infinity  - 2infinity
--  /
--     8
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2056a:=integrate(z^(1/2)-acoth(1-z), z= 0..1,"noPole")
--
--         - 3log(4) + 4
--         -------------
--               6
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2058a:=integrate((z^2+I*z-3)^(1/2)+z, z= -1..1,"noPole")
--
--                  4       2        +-------+     5      4      3       2
--            (- 16I  - 128I  + 768)\|- I - 2  + 4I  - 24I  - 32I  - 320I
--          + 
--            - 960I - 384
--       *
--           +-----+
--          \|I - 2
--      + 
--           5      4      3       2               +-------+    6      4
--        (4I  + 24I  - 32I  + 320I  - 960I + 384)\|- I - 2  - I  + 60I
--      + 
--            2
--        848I  - 192
--   *
--                     +-------+    2
--      log((- 4I + 8)\|- I - 2  + I  - 8I - 4)
--  + 
--                4       2        +-------+     5      4      3       2
--            (16I  + 128I  - 768)\|- I - 2  - 4I  + 24I  + 32I  + 320I  + 960I
--          + 
--            384
--       *
--           +-----+
--          \|I - 2
--      + 
--             5      4      3       2               +-------+    6      4
--        (- 4I  - 24I  + 32I  - 320I  + 960I - 384)\|- I - 2  + I  - 60I
--      + 
--              2
--        - 848I  + 192
--   *
--                     +-----+    2
--      log((- 4I - 8)\|I - 2  + I  + 8I - 4)
--  + 
--                 3          +-------+     5      4       3        2
--          (- 256I  + 1024I)\|- I - 2  + 4I  + 72I  - 288I  - 1088I  + 64I
--        + 
--          1152
--   *
--       +-----+
--      \|I - 2
--  + 
--         5      4       3        2               +-------+      5       3
--    (- 4I  + 72I  + 288I  - 1088I  - 64I + 1152)\|- I - 2  - 32I  + 768I
--  + 
--    - 2560I
-- /
--          2         +-------+      3       2                +-----+
--    ((256I  - 1024)\|- I - 2  - 64I  + 384I  + 1280I + 512)\|I - 2
--  + 
--          3       2                +-------+      4        2
--    (- 64I  - 384I  + 1280I - 512)\|- I - 2  + 16I  - 1152I  + 256
--                 Type: Union(f1: OrderedCompletion Expression Integer,...)

in2068a:=integrate(1/(I*z)^(1/2)-csch(z), z= 0..1,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2071a:=integrate(1/(3+z)^3*acoth(z), z= -1..1,"noPole")
--
--         - 3log(16) + 3log(4) - 2
--         ------------------------
--                    128
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2090a:=integrate(exp(z^(1/3))*(3+z)^9, z= -1..1,"noPole")
--
--                                         3+---+2
--         13467752003249079711273325865856\|- 1
--       + 
--                                           3+---+
--         - 27601768453337700619258203429120\|- 1
--       + 
--         30944953633416008247597858726912
--    *
--         3+---+
--         \|- 1
--       %e
--   + 
--     - 9746099248106233432776547720320%e
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2094a:=integrate(asinh(z)-acoth(z), z= -1..1,"noPole")
--
--               +-+                +-+
--         log(2\|2  + 3) + log(- 2\|2  + 3)
--         ---------------------------------
--                         2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2096a:=integrate(log(z)^2, z= %minusInfinity..%plusInfinity)
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2098a:=integrate(1/z^(1/3)-z^2/(z-1)^2, z= -1..1,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2105a:=integrate(-1/(z^2-I*z+2)^(1/2)/z, z= 0..1,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2106a:=integrate(acos(z)+acoth(1-z), z= 0..1,"noPole")
--
--        log(4) + 2
--        ----------
--             2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2108a:=integrate((1-I/(1+I/z)^2)^(1/2), z= -1..1,"noPole")
--
--[
--              +-----------+            +----------+
--            2 | 2              3    2  | 2
--          (I \|I  - 3I + 1  - I  + I )\|I  + I + 1
--        + 
--                      +-----------+
--              3    2  | 2              4    2
--          (- I  - I )\|I  - 3I + 1  + I  - I
--     *
--        log
--                     3     2           +-------+     4     3     2
--                 ((4I  - 4I  + 2I - 2)\|- I + 1  - 2I  + 4I  - 6I  + 4I)
--              *
--                  +----------+
--                  | 2
--                 \|I  + I + 1
--             + 
--                    4     3     2       +-------+     5     4     3     2
--               (- 4I  + 2I  - 2I  + 4I)\|- I + 1  + 2I  - 3I  + 5I  - 4I
--             + 
--               2I - 2
--          /
--                      +----------+
--                      | 2              2
--             (2I + 2)\|I  + I + 1  - 2I  - 3I - 2
--    + 
--                                 +-----------+
--                 +---+ +-------+ | 2               2      +---+ +-------+
--            (- I\|- I \|- I + 1 \|I  - 3I + 1  + (I  - I)\|- I \|- I + 1 )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                 +-----------+
--          2      +---+ +-------+ | 2                 3      +---+ +-------+
--        (I  + I)\|- I \|- I + 1 \|I  - 3I + 1  + (- I  + I)\|- I \|- I + 1
--     *
--        log
--                                                              +-----------+
--                   2            +---+     3      2            | 2
--               ((4I  - 10I + 4)\|- I  + 2I  - 10I  + 10I - 2)\|I  - 3I + 1
--             + 
--                    3      2            +---+     4      3      2
--               (- 4I  + 16I  - 16I + 4)\|- I  - 2I  + 13I  - 24I  + 13I - 2
--          /
--                                  +-----------+
--                3     2           | 2               4     3      2
--             (2I  - 6I  + 6I - 2)\|I  - 3I + 1  - 2I  + 9I  - 14I  + 9I - 2
--    + 
--                               +-----------+
--               +---+ +-------+ | 2                 2      +---+ +-------+
--            (I\|- I \|- I + 1 \|I  - 3I + 1  + (- I  + I)\|- I \|- I + 1 )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                   +-----------+
--            2      +---+ +-------+ | 2               3      +---+ +-------+
--        (- I  - I)\|- I \|- I + 1 \|I  - 3I + 1  + (I  - I)\|- I \|- I + 1
--     *
--        log
--                                                             +----------+
--                     2           +---+     3     2           | 2
--               ((- 4I  - 6I - 4)\|- I  + 2I  + 2I  + 2I + 2)\|I  + I + 1
--             + 
--                  3     2           +---+     4     3     2
--               (4I  + 8I  + 8I + 4)\|- I  - 2I  - 3I  - 4I  - 3I - 2
--          /
--                                  +----------+
--                3     2           | 2              4     3      2
--             (2I  + 6I  + 6I + 2)\|I  + I + 1  - 2I  - 7I  - 10I  - 7I - 2
--    + 
--                +-----------+            +----------+
--              2 | 2              3    2  | 2
--          (- I \|I  - 3I + 1  + I  - I )\|I  + I + 1
--        + 
--                    +-----------+
--            3    2  | 2              4    2
--          (I  + I )\|I  - 3I + 1  - I  + I
--     *
--        log
--                       3     2           +-------+     4     3      2
--                 ((- 4I  + 8I  - 6I + 2)\|- I + 1  - 2I  + 8I  - 10I  + 4I)
--              *
--                  +-----------+
--                  | 2
--                 \|I  - 3I + 1
--             + 
--                  4      3      2       +-------+     5      4      3      2
--               (4I  - 14I  + 14I  - 4I)\|- I + 1  + 2I  - 11I  + 21I  - 20I
--             + 
--               10I - 2
--          /
--                      +-----------+
--                      | 2               2
--             (2I - 2)\|I  - 3I + 1  - 2I  + 5I - 2
--    + 
--                     +-----------+                       +----------+
--           +-------+ | 2                      +-------+  | 2
--      (- 4\|- I + 1 \|I  - 3I + 1  + (6I - 4)\|- I + 1 )\|I  + I + 1
--    + 
--                         +-----------+
--               +-------+ | 2                  2           +-------+
--      (2I + 4)\|- I + 1 \|I  - 3I + 1  + (- 4I  - 4I + 4)\|- I + 1
-- /
--                   +-----------+                         +----------+
--         +-------+ | 2                        +-------+  | 2
--      (2\|- I + 1 \|I  - 3I + 1  + (- 2I + 2)\|- I + 1 )\|I  + I + 1
--    + 
--                           +-----------+
--                 +-------+ | 2                2      +-------+
--      (- 2I - 2)\|- I + 1 \|I  - 3I + 1  + (2I  - 2)\|- I + 1
--  ,
--
--                               +-----------+
--                 +---+ +-----+ | 2               2      +---+ +-----+
--            (- I\|- I \|I - 1 \|I  - 3I + 1  + (I  - I)\|- I \|I - 1 )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                 +-----------+
--            2      +---+ +-----+ | 2                 3      +---+ +-----+
--          (I  + I)\|- I \|I - 1 \|I  - 3I + 1  + (- I  + I)\|- I \|I - 1
--     *
--        log
--                                                              +-----------+
--                   2            +---+     3      2            | 2
--               ((4I  - 10I + 4)\|- I  + 2I  - 10I  + 10I - 2)\|I  - 3I + 1
--             + 
--                    3      2            +---+     4      3      2
--               (- 4I  + 16I  - 16I + 4)\|- I  - 2I  + 13I  - 24I  + 13I - 2
--          /
--                                  +-----------+
--                3     2           | 2               4     3      2
--             (2I  - 6I  + 6I - 2)\|I  - 3I + 1  - 2I  + 9I  - 14I  + 9I - 2
--    + 
--                             +-----------+
--               +---+ +-----+ | 2                 2      +---+ +-----+
--            (I\|- I \|I - 1 \|I  - 3I + 1  + (- I  + I)\|- I \|I - 1 )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                   +-----------+
--              2      +---+ +-----+ | 2               3      +---+ +-----+
--          (- I  - I)\|- I \|I - 1 \|I  - 3I + 1  + (I  - I)\|- I \|I - 1
--     *
--        log
--                                                             +----------+
--                     2           +---+     3     2           | 2
--               ((- 4I  - 6I - 4)\|- I  + 2I  + 2I  + 2I + 2)\|I  + I + 1
--             + 
--                  3     2           +---+     4     3     2
--               (4I  + 8I  + 8I + 4)\|- I  - 2I  - 3I  - 4I  - 3I - 2
--          /
--                                  +----------+
--                3     2           | 2              4     3      2
--             (2I  + 6I  + 6I + 2)\|I  + I + 1  - 2I  - 7I  - 10I  - 7I - 2
--    + 
--                 +-----------+              +----------+
--               2 | 2               3     2  | 2
--          (- 4I \|I  - 3I + 1  + 4I  - 4I )\|I  + I + 1
--        + 
--                      +-----------+
--             3     2  | 2               4     2
--          (4I  + 4I )\|I  - 3I + 1  - 4I  + 4I
--     *
--                      +----------+
--              +-----+ | 2              +-----+
--             \|I - 1 \|I  + I + 1  - I\|I - 1
--        atan(---------------------------------)
--                           I - 1
--    + 
--                 +-----------+              +----------+
--               2 | 2               3     2  | 2
--          (- 4I \|I  - 3I + 1  + 4I  - 4I )\|I  + I + 1
--        + 
--                      +-----------+
--             3     2  | 2               4     2
--          (4I  + 4I )\|I  - 3I + 1  - 4I  + 4I
--     *
--                      +-----------+
--              +-----+ | 2               +-----+
--             \|I - 1 \|I  - 3I + 1  - I\|I - 1
--        atan(----------------------------------)
--                            I - 1
--    + 
--                   +-----------+                     +----------+
--           +-----+ | 2                      +-----+  | 2
--      (- 4\|I - 1 \|I  - 3I + 1  + (6I - 4)\|I - 1 )\|I  + I + 1
--    + 
--                       +-----------+
--               +-----+ | 2                  2           +-----+
--      (2I + 4)\|I - 1 \|I  - 3I + 1  + (- 4I  - 4I + 4)\|I - 1
-- /
--                 +-----------+                       +----------+
--         +-----+ | 2                        +-----+  | 2
--      (2\|I - 1 \|I  - 3I + 1  + (- 2I + 2)\|I - 1 )\|I  + I + 1
--    + 
--                         +-----------+
--                 +-----+ | 2                2      +-----+
--      (- 2I - 2)\|I - 1 \|I  - 3I + 1  + (2I  - 2)\|I - 1
--  ,
--
--              +-----------+            +----------+
--            2 | 2              3    2  | 2
--          (I \|I  - 3I + 1  - I  + I )\|I  + I + 1
--        + 
--                      +-----------+
--              3    2  | 2              4    2
--          (- I  - I )\|I  - 3I + 1  + I  - I
--     *
--        log
--                     3     2           +-------+     4     3     2
--                 ((4I  - 4I  + 2I - 2)\|- I + 1  - 2I  + 4I  - 6I  + 4I)
--              *
--                  +----------+
--                  | 2
--                 \|I  + I + 1
--             + 
--                    4     3     2       +-------+     5     4     3     2
--               (- 4I  + 2I  - 2I  + 4I)\|- I + 1  + 2I  - 3I  + 5I  - 4I
--             + 
--               2I - 2
--          /
--                      +----------+
--                      | 2              2
--             (2I + 2)\|I  + I + 1  - 2I  - 3I - 2
--    + 
--                +-----------+            +----------+
--              2 | 2              3    2  | 2
--          (- I \|I  - 3I + 1  + I  - I )\|I  + I + 1
--        + 
--                    +-----------+
--            3    2  | 2              4    2
--          (I  + I )\|I  - 3I + 1  - I  + I
--     *
--        log
--                       3     2           +-------+     4     3      2
--                 ((- 4I  + 8I  - 6I + 2)\|- I + 1  - 2I  + 8I  - 10I  + 4I)
--              *
--                  +-----------+
--                  | 2
--                 \|I  - 3I + 1
--             + 
--                  4      3      2       +-------+     5      4      3      2
--               (4I  - 14I  + 14I  - 4I)\|- I + 1  + 2I  - 11I  + 21I  - 20I
--             + 
--               10I - 2
--          /
--                      +-----------+
--                      | 2               2
--             (2I - 2)\|I  - 3I + 1  - 2I  + 5I - 2
--    + 
--                                +-----------+
--                  +-------+ +-+ | 2                2       +-------+ +-+
--            (- 4I\|- I + 1 \|I \|I  - 3I + 1  + (4I  - 4I)\|- I + 1 \|I )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                 +-----------+
--           2       +-------+ +-+ | 2                  3       +-------+ +-+
--        (4I  + 4I)\|- I + 1 \|I \|I  - 3I + 1  + (- 4I  + 4I)\|- I + 1 \|I
--     *
--                       +-+
--                      \|I
--        atan(----------------------)
--              +-----------+
--              | 2
--             \|I  - 3I + 1  - I + 1
--    + 
--                                +-----------+
--                  +-------+ +-+ | 2                2       +-------+ +-+
--            (- 4I\|- I + 1 \|I \|I  - 3I + 1  + (4I  - 4I)\|- I + 1 \|I )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                 +-----------+
--           2       +-------+ +-+ | 2                  3       +-------+ +-+
--        (4I  + 4I)\|- I + 1 \|I \|I  - 3I + 1  + (- 4I  + 4I)\|- I + 1 \|I
--     *
--                       +-+
--                      \|I
--        atan(---------------------)
--              +----------+
--              | 2
--             \|I  + I + 1  - I - 1
--    + 
--                     +-----------+                       +----------+
--           +-------+ | 2                      +-------+  | 2
--      (- 4\|- I + 1 \|I  - 3I + 1  + (6I - 4)\|- I + 1 )\|I  + I + 1
--    + 
--                         +-----------+
--               +-------+ | 2                  2           +-------+
--      (2I + 4)\|- I + 1 \|I  - 3I + 1  + (- 4I  - 4I + 4)\|- I + 1
-- /
--                   +-----------+                         +----------+
--         +-------+ | 2                        +-------+  | 2
--      (2\|- I + 1 \|I  - 3I + 1  + (- 2I + 2)\|- I + 1 )\|I  + I + 1
--    + 
--                           +-----------+
--                 +-------+ | 2                2      +-------+
--      (- 2I - 2)\|- I + 1 \|I  - 3I + 1  + (2I  - 2)\|- I + 1
--  ,
--
--                 +-----------+              +----------+
--               2 | 2               3     2  | 2
--          (- 2I \|I  - 3I + 1  + 2I  - 2I )\|I  + I + 1
--        + 
--                      +-----------+
--             3     2  | 2               4     2
--          (2I  + 2I )\|I  - 3I + 1  - 2I  + 2I
--     *
--                      +----------+
--              +-----+ | 2              +-----+
--             \|I - 1 \|I  + I + 1  - I\|I - 1
--        atan(---------------------------------)
--                           I - 1
--    + 
--                 +-----------+              +----------+
--               2 | 2               3     2  | 2
--          (- 2I \|I  - 3I + 1  + 2I  - 2I )\|I  + I + 1
--        + 
--                      +-----------+
--             3     2  | 2               4     2
--          (2I  + 2I )\|I  - 3I + 1  - 2I  + 2I
--     *
--                      +-----------+
--              +-----+ | 2               +-----+
--             \|I - 1 \|I  - 3I + 1  - I\|I - 1
--        atan(----------------------------------)
--                            I - 1
--    + 
--                              +-----------+
--                  +-----+ +-+ | 2                2       +-----+ +-+
--            (- 2I\|I - 1 \|I \|I  - 3I + 1  + (2I  - 2I)\|I - 1 \|I )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                 +-----------+
--             2       +-----+ +-+ | 2                  3       +-----+ +-+
--          (2I  + 2I)\|I - 1 \|I \|I  - 3I + 1  + (- 2I  + 2I)\|I - 1 \|I
--     *
--                       +-+
--                      \|I
--        atan(----------------------)
--              +-----------+
--              | 2
--             \|I  - 3I + 1  - I + 1
--    + 
--                              +-----------+
--                  +-----+ +-+ | 2                2       +-----+ +-+
--            (- 2I\|I - 1 \|I \|I  - 3I + 1  + (2I  - 2I)\|I - 1 \|I )
--         *
--             +----------+
--             | 2
--            \|I  + I + 1
--        + 
--                                 +-----------+
--             2       +-----+ +-+ | 2                  3       +-----+ +-+
--          (2I  + 2I)\|I - 1 \|I \|I  - 3I + 1  + (- 2I  + 2I)\|I - 1 \|I
--     *
--                       +-+
--                      \|I
--        atan(---------------------)
--              +----------+
--              | 2
--             \|I  + I + 1  - I - 1
--    + 
--                   +-----------+                     +----------+
--           +-----+ | 2                      +-----+  | 2
--      (- 2\|I - 1 \|I  - 3I + 1  + (3I - 2)\|I - 1 )\|I  + I + 1
--    + 
--                      +-----------+
--              +-----+ | 2                  2           +-----+
--      (I + 2)\|I - 1 \|I  - 3I + 1  + (- 2I  - 2I + 2)\|I - 1
-- /
--                +-----------+                      +----------+
--        +-----+ | 2                       +-----+  | 2
--      (\|I - 1 \|I  - 3I + 1  + (- I + 1)\|I - 1 )\|I  + I + 1
--    + 
--                        +-----------+
--                +-----+ | 2               2      +-----+
--      (- I - 1)\|I - 1 \|I  - 3I + 1  + (I  - 1)\|I - 1
--  ]
--            Type: Union(f2: List OrderedCompletion Expression Integer,...)

in2109a:=integrate((1+I*z)^(1/2)+cot(z-1), z= 0..1,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2112a:=integrate(-cot(z-1)+log(1-1/z^4), z= -1..1,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2115a:=integrate(-z/(z-1)+log(1-z^(1/3)), z= -1..1,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2120a:=integrate(-z+1/(z^2+I*z-3)^(1/2), z= -1..1,"noPole")
--
--                      +-------+    2
--       log((- 4I + 8)\|- I - 2  + I  - 8I - 4)
--     + 
--                        +-----+    2
--       - log((- 4I - 8)\|I - 2  + I  + 8I - 4)
--  /
--     2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2124a:=integrate(-1/z-1/(I/(z+I))^(1/2), z= -1..0,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in25:=integrate(cos(z), z= %i..a)
--
--  sin(a) - sin(I)
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in25a:=integrate(cos(z), z= %i..a)
--
--  sin(a) - sin(%i)
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in25b:=integrate(exp(I*z), z= %i..%i*infinity)
--
--            2              2
--           I infinity     I
--         %e           - %e
--         -------------------
--                  I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in25c:=integrate(exp(%i*z), z= %i..I*infinity)
--
--                   %i I infinity
--         - %i %e %e              + %i
--         ----------------------------
--                      %e
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in28a:=integrate(1/z, z=1..z,"noPole")
--
--              2
--         log(z )
--         -------
--            2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in30:=integrate(sin(3*asin(1/(1+z^2))), z= 0..%plusInfinity)
--
--         3%pi
--         ----
--           4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in32:=integrate(exp(-z), z= 0..%plusInfinity)
--
--  1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in34a:=integrate(1/(sin(z)-1/2), z= 0..1,"noPole")
--
--     log
--                            2                                   2
--                  - 12sin(1)  + (42cos(1) + 48)sin(1) - 36cos(1)  - 84cos(1)
--                + 
--                  - 48
--           *
--               +-+
--              \|3
--          + 
--                    2                                     2
--            21sin(1)  + (- 72cos(1) - 84)sin(1) + 63cos(1)  + 144cos(1) + 84
--       /
--                 2
--          4sin(1)  - 4sin(1) + 1
--   + 
--                 +-+
--     - log(- 168\|3  + 291)
-- /
--    +-+
--   \|3
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

in37:=integrate(atan(tan(1/z)), z= 0..1)
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in40:=integrate(atan(tan(z)), z= 0..%plusInfinity)
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2157a:=integrate(acoth(z)-1/(1+z^(1/2)), z= 0..1,"noPole")
--
--         log(4) + 10log(2) - 8
--         ---------------------
--                   4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2158a:=integrate(2*acoth(1-(1-z)^(1/2)), z= 0..1,"noPole")
--
--    2log(4) - 2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2168a:=integrate(-csch(z-1)-(1+I*z)^(1/2), z= 0..1,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2179a:=integrate((z^3-I*(1-z^4)^(1/2))^4, z= -1..1,"noPole")
--
--                4         2
--          64064I  + 28080I  + 6930
--   (104)  ------------------------
--                    45045
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in2185a:=integrate(csch(z)+(z^2-I*z+1)^(1/2), z= 0..1,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2195a:=integrate(1-acoth(1-(1-z)^(1/2)), z= -1..1,"noPole")
--
--         +-+            +-+                 +-+          +-+
--   2log(\|2 ) - log(- 2\|2  + 3) + 3log(- 4\|2  + 6) + 4\|2  - 4log(4) + 8
--   -----------------------------------------------------------------------
--                                      4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2201a:=integrate(acoth(z)+%pi-asec(z-1), z= 0..1,"noPole")
--
--              +-+
--        - %pi\|2  + log(4) + 2%pi
--        -------------------------
--                    2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in221:=integrate(log(z+sqrt(z^2-1)), z)
--
--           +------+           +------+          +------+
--           | 2         2      | 2               | 2         2
--        (z\|z  - 1  - z )log(\|z  - 1  + z) + z\|z  - 1  - z  + 1
--        ---------------------------------------------------------
--                               +------+
--                               | 2
--                              \|z  - 1  - z
--                                          Type: Union(Expression Integer,...)

in227a:=integrate(atan(sin(z))+atan(1/(sin(z))), z= 0..1,"noPole")
--
--           %pi
--         - ---
--            2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in237a:=integrate(sin(z)*(1-cos(z)/sqrt(1-sin(z)^2))^2, z= 0..1,"noPole")
--
--         - 4cos(1) + 4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2221:=integrate((z-I)*(-1+1/(z-I)), z= 0..%plusInfinity)
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2243a:=integrate(-1/sinh(z-1)+1/(I*z)^(1/2), z= 0..1,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2247a:=integrate(1/(z^2-I*z+2)^(1/2)+csc(z), z= 0..1,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2254a:=integrate(cosh(z^(1/2))-acoth(1-z), z= 0..1,"noPole")
--
--         - %e log(4) + 4%e - 4
--         ---------------------
--                  2%e
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2270a:=integrate(log(z)*log(1/z)*(I*z)^(1/3), z= -1..1,"noPole")
--
--              3+-+     3+---+
--          - 27\|I  - 27\|- I
--          -------------------
--                   32
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2274a:=integrate(acoth(1-z)-acosh(1/z), z= -1..1,"noPole")
--
--          3log(9) - 4%pi
--          --------------
--                 4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2275a:=integrate((z^2+I*z-3)^(1/2)*(3+z^2), z= -1..1,"noPole")
--
--                         10         8           6           4            2
--                   - 960I   + 49920I  + 1320960I  + 3563520I  - 40550400I
--                 + 
--                   8847360
--              *
--                  +-------+
--                 \|- I - 2
--             + 
--                   11        10         9         8          7           6
--               120I   - 2640I   - 23520I  + 10560I  - 318720I  + 1359360I
--             + 
--                       5           4            3           2
--               3056640I  + 9922560I  + 36034560I  - 2396160I  - 40919040I
--             + 
--               15482880
--          *
--              +-----+
--             \|I - 2
--         + 
--                   11        10         9         8          7           6
--               120I   + 2640I   - 23520I  - 10560I  - 318720I  - 1359360I
--             + 
--                       5           4            3           2
--               3056640I  - 9922560I  + 36034560I  + 2396160I  - 40919040I
--             + 
--               - 15482880
--          *
--              +-------+
--             \|- I - 2
--         + 
--                12         10         8           6            4            2
--           - 15I   + 12360I   + 67440I  - 3283200I  - 21131520I  + 73451520I
--         + 
--           - 27095040
--      *
--                        +-------+    2
--         log((- 4I + 8)\|- I - 2  + I  - 8I - 4)
--     + 
--                         10         8           6           4            2
--                     960I   - 49920I  - 1320960I  - 3563520I  + 40550400I
--                   + 
--                     - 8847360
--              *
--                  +-------+
--                 \|- I - 2
--             + 
--                     11        10         9         8          7           6
--               - 120I   + 2640I   + 23520I  - 10560I  + 318720I  - 1359360I
--             + 
--                         5           4            3           2
--               - 3056640I  - 9922560I  - 36034560I  + 2396160I  + 40919040I
--             + 
--               - 15482880
--          *
--              +-----+
--             \|I - 2
--         + 
--                     11        10         9         8          7           6
--               - 120I   - 2640I   + 23520I  + 10560I  + 318720I  + 1359360I
--             + 
--                         5           4            3           2
--               - 3056640I  + 9922560I  - 36034560I  - 2396160I  + 40919040I
--             + 
--               15482880
--          *
--              +-------+
--             \|- I - 2
--         + 
--              12         10         8           6            4            2
--           15I   - 12360I   - 67440I  + 3283200I  + 21131520I  - 73451520I
--         + 
--           27095040
--      *
--                        +-----+    2
--         log((- 4I - 8)\|I - 2  + I  + 8I - 4)
--     + 
--                   9            5            3              +-------+      11
--          (- 20480I  + 17170432I  - 48234496I  + 57671680I)\|- I - 2  + 60I
--         + 
--                10         9          8          7           6            5
--           3800I   - 39408I  - 172896I  - 790144I  - 6873344I  + 13455872I
--         + 
--                    4            3            2
--           53588992I  - 16978944I  - 85084160I  + 9687040I + 21897216
--      *
--          +-----+
--         \|I - 2
--     + 
--                11        10         9          8          7           6
--           - 60I   + 3800I   + 39408I  - 172896I  + 790144I  - 6873344I
--         + 
--                      5            4            3            2
--           - 13455872I  + 53588992I  + 16978944I  - 85084160I  - 9687040I
--         + 
--           21897216
--      *
--          +-------+
--         \|- I - 2
--     + 
--             11          9           7            5             3
--       - 960I   + 133888I  + 3352576I  - 44081152I  + 129318912I  - 59834368I
--  /
--                  6           4            2            +-------+        7
--           (49152I  - 3735552I  + 14942208I  - 3145728)\|- I - 2  - 6144I
--       + 
--               6           5           4            3           2
--        135168I  + 1351680I  - 3784704I  - 15237120I  + 1769472I  + 14548992I
--       + 
--           - 5505024
--      *
--          +-----+
--         \|I - 2
--     + 
--                7          6           5           4            3           2
--         - 6144I  - 135168I  + 1351680I  + 3784704I  - 15237120I  - 1769472I
--       + 
--           14548992I + 5505024
--      *
--          +-------+
--         \|- I - 2
--     + 
--           8          6            4            2
--       768I  - 651264I  + 12066816I  - 27721728I  + 9633792
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2276a:=integrate((1-tanh(log(1+z^(1/3))))^5, z= -1..1,"noPole")
--
--                3+---+2          3+---+                3+---+
--       (- 918750\|- 1   + 1200000\|- 1  + 2100000)atan(\|- 1  + 1)
--     + 
--                               3+---+2                              3+---+
--       (918750atan(2) - 466984)\|- 1   + (- 1200000atan(2) - 364526)\|- 1
--     + 
--       - 2100000atan(2) + 96142
--  /
--          3+---+2        3+---+
--     30625\|- 1   - 40000\|- 1  - 70000
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2278a:=integrate(acoth(1-z)+log(abs(z-1)/z), z= 0..1,"noPole")
--
--          log(4)
--   (120)  ------
--             2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2279a:=integrate(acoth(1/(z^2-z+1)^(1/2)), z= -1..1,"noPole")
--
--                                                                     +-+
--               +-+               +-+               +-+            - \|3  - 2
--       2log(12\|3  + 21) + log(6\|3  + 12) - log(2\|3  + 4) + log(----------)
--                                                                    +-+
--                                                                   \|3  - 2
--     + 
--       log(16) - 2log(4)
--  /
--     4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2307a:=integrate(tan(z)-1/(z^2+I*z-3)^(1/2), z= -1..1,"noPole")
--
--                        +-------+    2
--       - log((- 4I + 8)\|- I - 2  + I  - 8I - 4)
--     + 
--                      +-----+    2
--       log((- 4I - 8)\|I - 2  + I  + 8I - 4)
--  /
--     2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2311a:=integrate(-1/sinh(z-1)+1/(I*z)^(1/2), z= 0..%pi,"noPole")
--
--              %pi - 1 2      %pi - 1
--     I log((%e       )  + 2%e        + 1)
--   + 
--                                                                  2
--               %pi - 1 2      %pi - 1          +-----+         %e  + 2%e + 1
--    - I log((%e       )  - 2%e        + 1) + 4\|I %pi  - I log(-------------)
--                                                                      2
--                                                                     %e
--   + 
--             2
--           %e  - 2%e + 1
--     I log(-------------)
--                  2
--                %e
-- /
--   2I
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

------------------------------------------------------
in2312:=integrate(sin(z)-1/(z^2+I*z-1)^(1/2), z= -1..1)
--
--   potentialPole
--
in2312a:=integrate(sin(z)-1/(z^2+I*z-1)^(1/2), z= -1..1,"noPole")
--
--                    +---+    2                            +-+    2
--   - log((- 4I + 8)\|- I  + I  - 8I + 4) + log((- 4I - 8)\|I  + I  + 8I + 4)
--   -------------------------------------------------------------------------
--                                       2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2324a:=integrate(cosh(z^(1/2)-1)+acoth(1-z), z= 0..1,"noPole")
--
--                         2
--          %e log(4) + 2%e  - 4%e + 2
--          --------------------------
--                      2%e
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2330a:=integrate(exp(-z)+1/(z^2+I*z-1)^(1/2), z= -1..1,"noPole")
--
--                         +---+    2
--       %e log((- 4I + 8)\|- I  + I  - 8I + 4)
--     + 
--                           +-+    2                2
--       - %e log((- 4I - 8)\|I  + I  + 8I + 4) + 2%e  - 2
--  /
--     2%e
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2332a:=integrate(acoth(z^(1/2))*(1-z^(1/2)), z= 0..1,"noPole")
--
--          log(16) - log(4) - 10log(2) + 8
--          -------------------------------
--                         12
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2333a:=integrate(acoth(z)+1/(z^2+z+2)^(1/2), z= 0..1,"noPole")
--
--                  +-+
--          log(- 4\|2  + 9) + log(4)
--          -------------------------
--                      2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2340a:=integrate(exp(I*(I*z)^(1/2))+cot(z-1), z= -1..1,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2360a:=integrate(1/(1-I*z^2)^(1/2)-csch(z-1), z= -1..1,"noPole")
--
--  [ + infinity, + infinity]
--               Type: Union(f2: List OrderedCompletion Expression Integer,...)

in2367a:=integrate(log(1-z^2)-1/(I/(z-I))^(1/2), z= -1..1,"noPole")
--
--                         4                   4                   1
--               3log(-----------) + 3log(-----------) - 3log(-----------)
--                     2                   2                   2
--                    I  - 2I + 1         I  + 2I + 1         I  - 2I + 1
--             + 
--                           1
--               - 3log(-----------) + 6log(4) - 24
--                       2
--                      I  + 2I + 1
--          *
--              +-------+
--              |    I
--              |- -----
--             \|  I - 1
--         + 
--           4I - 4
--      *
--          +-------+
--          |    I
--          |- -----
--         \|  I + 1
--     + 
--                  +-------+
--                  |    I
--       (- 4I - 4) |- -----
--                 \|  I - 1
--  /
--        +-------+ +-------+
--        |    I    |    I
--     6  |- -----  |- -----
--       \|  I - 1 \|  I + 1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2375a:=integrate(acoth(1-z^(1/2))+1/z^(1/3), z= 0..1,"noPole")
--
--          2log(4) + 1
--          -----------
--               2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2376a:=integrate(log(1-z^(1/3)-z^(2/3)), z= 0..infinity,"noPole")
--
--           +-+
--         3\|5
--      *
--         log
--                      +-+      3+--------+2
--                (- 12\|5  - 36)\|infinity
--              + 
--                     +-+                  3+--------+                     +-+
--               (- 16\|5  - 4infinity - 32)\|infinity  + (- 8infinity - 6)\|5
--             + 
--                - 8infinity - 14
--           /
--              3+--------+2                   3+--------+
--              \|infinity   + (- infinity + 2)\|infinity  - 2infinity - 1
--     + 
--         (3infinity + 6)
--      *
--               3+--------+2                 3+--------+
--         log(- \|infinity   + (infinity - 2)\|infinity  + 2infinity + 1)
--     + 
--        3+--------+2     3+--------+     +-+      +-+
--       3\|infinity   - 18\|infinity  - 3\|5 log(6\|5  + 14) - 4infinity
--  /
--     6
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2378a:=integrate((z^2+I*z-3)^(1/2)-tanh(z-1), z= -1..1,"noPole")
--
--                     4       2        +-------+     5      4      3       2
--               (- 16I  - 128I  + 768)\|- I - 2  + 4I  - 24I  - 32I  - 320I
--             + 
--               - 960I - 384
--          *
--              +-----+
--             \|I - 2
--         + 
--              5      4      3       2               +-------+    6      4
--           (4I  + 24I  - 32I  + 320I  - 960I + 384)\|- I - 2  - I  + 60I
--         + 
--               2
--           848I  - 192
--      *
--                        +-------+    2
--         log((- 4I + 8)\|- I - 2  + I  - 8I - 4)
--     + 
--                4       2        +-------+     5      4      3       2
--            (16I  + 128I  - 768)\|- I - 2  - 4I  + 24I  + 32I  + 320I  + 960I
--           + 
--               384
--          *
--              +-----+
--             \|I - 2
--         + 
--                5      4      3       2               +-------+    6      4
--           (- 4I  - 24I  + 32I  - 320I  + 960I - 384)\|- I - 2  + I  - 60I
--         + 
--                 2
--           - 848I  + 192
--      *
--                        +-----+    2
--         log((- 4I - 8)\|I - 2  + I  + 8I - 4)
--     + 
--                                   2 4       2 2
--                    2           (%e )  + 2(%e )  + 1           2
--               (128I  - 512)log(--------------------) + (- 128I  + 512)log(4)
--                                          2 4
--                                       (%e )
--             + 
--                     3       2
--               - 256I  + 512I  + 1024I - 2048
--          *
--              +-------+
--             \|- I - 2
--         + 
--                                               2 4       2 2
--                 3       2                  (%e )  + 2(%e )  + 1
--           (- 32I  + 192I  + 640I + 256)log(--------------------)
--                                                      2 4
--                                                   (%e )
--         + 
--               3       2                         5      4       3       2
--           (32I  - 192I  - 640I - 256)log(4) + 4I  + 72I  - 416I  - 320I
--         + 
--           2624I + 2176
--      *
--          +-----+
--         \|I - 2
--     + 
--                                               2 4       2 2
--                 3       2                  (%e )  + 2(%e )  + 1
--           (- 32I  - 192I  + 640I - 256)log(--------------------)
--                                                      2 4
--                                                   (%e )
--         + 
--               3       2                         5      4       3        2
--           (32I  + 192I  - 640I + 256)log(4) - 4I  + 72I  + 160I  - 1856I
--         + 
--           2496I + 128
--      *
--          +-------+
--         \|- I - 2
--     + 
--                                 2 4       2 2
--          4       2           (%e )  + 2(%e )  + 1
--       (8I  - 576I  + 128)log(--------------------)
--                                        2 4
--                                     (%e )
--     + 
--          4       2                   5      4       3        2
--     (- 8I  + 576I  - 128)log(4) - 32I  + 32I  + 768I  - 2304I  - 2560I + 512
--  /
--             2         +-------+      3       2                +-----+
--       ((256I  - 1024)\|- I - 2  - 64I  + 384I  + 1280I + 512)\|I - 2
--     + 
--             3       2                +-------+      4        2
--       (- 64I  - 384I  + 1280I - 512)\|- I - 2  + 16I  - 1152I  + 256
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2386a:=integrate(acoth(1-z)-(z^2-z+2)^(1/2), z= 0..1,"noPole")
--
--                   +-+                 +-+          +-+
--          - 7log(4\|2  + 9) + 7log(- 4\|2  + 9) - 8\|2  + 8log(4)
--          -------------------------------------------------------
--                                     16
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2390a:=integrate((z^2-I*z-2)^(1/2)+1/sec(z-1), z= -1..1,"noPole")
--
--                     8        6         4          2  +-------+     9       8
--               (- 64I  + 3840I  + 18432I  - 131072I )\|- I - 1  - 8I  + 176I
--           + 
--                  7        6        5         4          3         2
--             1472I  - 3456I  - 1536I  - 33792I  - 102400I  + 40960I  + 65536I
--          *
--              +-----+
--             \|I - 1
--         + 
--                   9       8        7        6        5         4          3
--               - 8I  - 176I  + 1472I  + 3456I  - 1536I  + 33792I  - 102400I
--             + 
--                       2
--               - 40960I  + 65536I
--          *
--              +-------+
--             \|- I - 1
--         + 
--              10       8        6         4          2
--           - I   + 792I  - 6016I  - 84992I  + 110592I  - 32768
--      *
--                      +-----+    2
--         log((4I + 8)\|I - 1  + I  + 8I)
--     + 
--                   8        6         4          2  +-------+     9       8
--               (64I  - 3840I  - 18432I  + 131072I )\|- I - 1  + 8I  - 176I
--           + 
--                  7        6        5         4          3         2
--           - 1472I  + 3456I  + 1536I  + 33792I  + 102400I  - 40960I  - 65536I
--          *
--              +-----+
--             \|I - 1
--         + 
--                 9       8        7        6        5         4          3
--               8I  + 176I  - 1472I  - 3456I  + 1536I  - 33792I  + 102400I
--             + 
--                     2
--               40960I  - 65536I
--          *
--              +-------+
--             \|- I - 1
--         + 
--            10       8        6         4          2
--           I   - 792I  + 6016I  + 84992I  - 110592I  + 32768
--      *
--                      +-------+    2
--         log((4I - 8)\|- I - 1  + I  - 8I)
--     + 
--                  6         4          2               7         5          3
--            (1024I  - 69632I  + 262144I )sin(2) + 1536I  - 63488I  + 262144I
--           + 
--               - 131072I
--          *
--              +-------+
--             \|- I - 1
--         + 
--                  7        6         5         4          3         2
--          (128I  - 2816I  - 24576I  + 77824I  + 221184I  - 81920I  - 131072I)
--         *
--            sin(2)
--        + 
--             9       8        7         6         5          4          3
--           4I  + 264I  - 3456I  - 24320I  + 67072I  + 199680I  - 122880I
--         + 
--                    2
--           - 245760I  + 16384I + 32768
--      *
--          +-----+
--         \|I - 1
--     + 
--               7        6         5         4          3         2
--          (128I  + 2816I  - 24576I  - 77824I  + 221184I  + 81920I  - 131072I)
--         *
--            sin(2)
--        + 
--               9       8        7         6         5          4          3
--           - 4I  + 264I  + 3456I  - 24320I  - 67072I  + 199680I  + 122880I
--         + 
--                    2
--           - 245760I  - 16384I + 32768
--      *
--          +-------+
--         \|- I - 1
--     + 
--           8         6          4          2                     9         7
--       (16I  - 12800I  + 198656I  - 229376I  + 65536)sin(2) + 64I  - 13824I
--     + 
--              5          3
--       174080I  - 327680I  + 131072I
--  /
--                 6         4          2  +-------+       7        6         5
--           (1024I  - 69632I  + 262144I )\|- I - 1  + 128I  - 2816I  - 24576I
--         + 
--                 4          3         2
--           77824I  + 221184I  - 81920I  - 131072I
--      *
--          +-----+
--         \|I - 1
--     + 
--              7        6         5         4          3         2
--         (128I  + 2816I  - 24576I  - 77824I  + 221184I  + 81920I  - 131072I)
--      *
--          +-------+
--         \|- I - 1
--     + 
--          8         6          4          2
--       16I  - 12800I  + 198656I  - 229376I  + 65536
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2392a:=integrate(1/sec(z-1)+acoth(1-z^(1/2)), z= 0..1,"noPole")
--
--     sin(1) + log(4) - 1
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2404a:=integrate(1/(1+I*z^2)^(1/2)+acoth(z), z= -1..1,"noPole")
--
-- [
--       -
--          log
--                     2       +-+     2       +-----+        2       +-+     3
--                 ((2I  + 4I)\|I  + 4I  + 2I)\|I + 1  + (- 4I  - 4I)\|I  - 2I
--               + 
--                     2
--                 - 5I  - 2I
--            /
--                 +-----+
--               2\|I + 1  - I - 2
--     + 
--       log
--                    2       +-+     2       +-----+      2       +-+     3
--              ((- 2I  - 4I)\|I  + 4I  + 2I)\|I + 1  + (4I  + 4I)\|I  - 2I
--            + 
--                  2
--              - 5I  - 2I
--         /
--              +-----+
--            2\|I + 1  - I - 2
--  /
--       +-+
--     2\|I
--   ,
--         +---+ +-----+    +---+
--        \|- I \|I + 1  - \|- I
--  4atan(-----------------------)
--                   I
--  ------------------------------]
--               +---+
--              \|- I
--             Type: Union(f2: List OrderedCompletion Expression Integer,...)

in2409a:=integrate(tan(z)+1/(I/(z+I))^(1/2), z= 0..1/2*%pi,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in248a:=integrate(log(z^I)^2, z= 0..1,"noPole")
--
--            2
--          2I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in248b:=integrate(log(z^%i)^2, z= 0..1,"noPole")
--
--         - 2
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in249a:=integrate((sin(z)/(cos(z)-1))^(1/3), z= 0..%pi,"noPole")
--
--                 3+-+           3+-+         +-+
--          3log(32\|2 ) - 12log(2\|2 ) - 4%pi\|3
--          --------------------------------------
--                            24
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in251a:=integrate((-1)^z*exp(-z)*sin(z), z= 0..%plusInfinity,"noPole")
--
--               2
--          - %pi  + 2
--          ----------
--              4
--           %pi  + 4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2434a:=integrate(acoth(z^(1/2))+log(abs(z-1)), z= 0..1,"noPole")
--
--         log(16) + log(4) - 6log(2)
--         --------------------------
--                      4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2443a:=integrate(sech(z)+log(abs(1-1/z^(1/3))), z= -1..1,"noPole")
--
--                                        3+---+2    3+---+
--           3+---+2    3+---+            \|- 1   - 2\|- 1  + 1
--       log(\|- 1   - 2\|- 1  + 1) + log(---------------------) + 4atan(%e)
--                                               3+---+2
--                                               \|- 1
--     + 
--                1    3+---+2    3+---+
--       - 4atan(--) + \|- 1   + 2\|- 1  - 3
--               %e
--  /
--     2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2462a:=integrate(log((1+(1-z)^(1/2))/z)+csch(z), z= -1..0,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2469a:=integrate(1/(2+z)^2+1/(z^2-I*z-2)^(1/2), z= -1..1,"noPole")
--
--                 +-----+    2                       +-------+    2
--   3log((4I + 8)\|I - 1  + I  + 8I) - 3log((4I - 8)\|- I - 1  + I  - 8I) + 4
--   -------------------------------------------------------------------------
--                                       6
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2484a:=integrate(log(1-z^2)+sinh(z^(1/2)), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2485a:=integrate(log(1-z^(1/2))-acoth(z^(1/2)), z= 0..1,"noPole")
--
--         - log(16) + log(4) + 2log(2) - 10
--         ---------------------------------
--                         4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2521a:=integrate(acoth(z^(1/2))+cos(z^(1/2)-1), z= 0..1,"noPole")
--
--     - 2cos(1) + 3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2524a:=integrate(log(abs(1+1/z^(1/3)))+log(1+1/z), z= -1..0,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2527a:=integrate(1/(1+I*z^(1/3))+cosh(z), z= %minusInfinity..0,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2533a:=integrate(log(abs(1-1/z^(1/3)))-log(1-1/z), z= -1..0,"noPole")
--                                          3+---+2    3+---+
--              3+---+2   3+---+            \|- 1   - 2\|- 1  + 1    3+---+2
--       - log(3\|- 1   + \|- 1  - 1) + log(---------------------) + \|- 1
--                                                 3+---+2
--                                                 \|- 1
--     + 
--        3+---+
--       2\|- 1  - log(4)
--  /
--     2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2566a:=integrate(log(1+(1-z)^(1/2))+acoth(1-z), z= -1..1,"noPole")
--
--               +-+          +-+
--         4log(\|2  + 1) + 4\|2  + 3log(9) - 4
--         ------------------------------------
--                           4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2567a:=integrate(1/(I*z)^(1/3)*log(abs(z-1)), z= 0..1/2*%pi,"noPole")
--
--                      3+---+3+-----+2     3+-+3+---+2 3+-----+   2 3+-+2
--          3+-+2    - I\|- I \|I %pi   - 2I\|2 \|- I   \|I %pi + I  \|2
--       6I \|2  log(----------------------------------------------------)
--                                           3+-+2
--                                           \|2
--     + 
--       -
--               3+-+2
--            3I \|2
--         *
--            log
--                       3+---+3+-----+2               3+-+3+---+2 3+-----+
--                   - 6I\|- I \|I %pi   + (I %pi + 4I)\|2 \|- I   \|I %pi
--                 + 
--                      2        2 3+-+2
--                   (2I %pi + 2I )\|2
--              /
--                  3+-+2
--                 2\|2
--     + 
--                          3+---+2 3+-----+   3+-+
--           3+-+2 +-+     2\|- I   \|I %pi + I\|2
--       12I \|2  \|3 atan(------------------------)
--                                  3+-+ +-+
--                                 I\|2 \|3
--     + 
--                2
--             %pi  - 4%pi + 4       3+---+3+-----+2      3+-+2     2
--       (6log(---------------) - 18)\|- I \|I %pi   - 3I \|2  log(I )
--                    4
--     + 
--                3+-+2 +-+
--       - 2I %pi \|2  \|3
--  /
--        3+-+2 3+---+
--     8I \|2   \|- I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2586a:=integrate(acoth(z^(1/2))+atan(z^(1/2)), z= 0..1,"noPole")
--
--         log(16) - log(4) - 2log(2) + 2%pi
--         ---------------------------------
--                         4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2591a:=integrate(log(z)/(1-z^(1/2))^3-log(z)*log(-z), z= 0..1,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2597a:=integrate((1+I/z)^(1/2)-log(1-1/z^2), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2598a:=integrate(exp(-z^(1/2))+acoth(1-z^(1/2)), z= 0..1,"noPole")
--
--          %e log(4) + %e - 4
--   (105)  ------------------
--                  %e
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2604a:=integrate(acoth(1-z^(1/2))+log(1+z^(1/3)), z= 1..2,"noPole")
--
--             6+-+2                6+-+3                6+-+3         6+-+4
--       18log(\|2   + 1) + 3log(- 2\|2   + 3) - 6log(- 4\|2   + 6) + 3\|2
--     + 
--          6+-+3    6+-+2
--       - 6\|2   - 6\|2   - 12log(2) + 7
--  /
--     6
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in271a:=integrate(1/sqrt((z^2-1)*(z^2-1)), z= 2..%plusInfinity,"noPole")
--
--        log(9)
--   (5)  ------
--           4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in275c:=integrate(sqrt(z), z= -%i..%i,"noPole")
--
--            +-+      +---+
--         2I\|I  + 2I\|- I
--   (11)  -----------------
--                 3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in275a:=integrate(1/(1+z), z= -%i..%i,"noPole")
--
--              2                  2
--         log(I  + 2I + 1) - log(I  - 2I + 1)
--   (13)  -----------------------------------
--                          2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in275b:=integrate(1/(1+z), z= -%i..%i,"noPole")
--
--         log(2%i) - log(- 2%i)
--   (21)  ---------------------
--                   2
--            Type: Union(f1: OrderedCompletion Expression Complex Integer,...)

in276a:=integrate(log(1-z^(1/3)-z^(2/3)), z= 0..sqrt(5)-2,"noPole")
--
--           +-+
--         3\|5
--      *
--         log
--                                +--------+2                   +--------+
--                   +-+      3| +-+               +-+      3| +-+          +-+
--             (- 12\|5  - 36)\|\|5  - 2   + (- 20\|5  - 24)\|\|5  - 2  + 2\|5
--           + 
--                - 38
--         /
--               +--------+2                +--------+
--              3| +-+             +-+     3| +-+          +-+
--              \|\|5  - 2   + (- \|5  + 4)\|\|5  - 2  - 2\|5  + 3
--     + 
--                   +--------+2              +--------+
--         +-+      3| +-+           +-+     3| +-+          +-+
--       3\|5 log(- \|\|5  - 2   + (\|5  - 4)\|\|5  - 2  + 2\|5  - 3)
--     + 
--         +--------+2      +--------+
--        3| +-+           3| +-+          +-+      +-+           +-+
--       3\|\|5  - 2   - 18\|\|5  - 2  - 3\|5 log(6\|5  + 14) - 4\|5  + 8
--  /
--     6
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2634a:=integrate(1/(z^2+I*z-1)^(1/2)+log(abs(z-1)), z= -1..1,"noPole")
--
--                     +---+    2                            +-+    2
--      log((- 4I + 8)\|- I  + I  - 8I + 4) - log((- 4I - 8)\|I  + I  + 8I + 4)
--    + 
--      2log(4) - 4
-- /
--    2
--                   Type: Union(f1: OrderedCompletion Expression Integer,...)

in2656a:=integrate(acoth(1-(1-z)^(1/2))-log(1-1/z), z= -1..1,"noPole")
--
--            +-+            +-+                 +-+          +-+
--   - 10log(\|2 ) + log(- 2\|2  + 3) - 3log(- 4\|2  + 6) - 4\|2  + 2log(4)
--   ----------------------------------------------------------------------
--                                      4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2676a:=integrate(acoth(1-(1-z)^(1/2))-log(1-1/z), z= -1..1,"noPole")
--
--            +-+            +-+                 +-+          +-+
--   - 10log(\|2 ) + log(- 2\|2  + 3) - 3log(- 4\|2  + 6) - 4\|2  + 2log(4)
--   ----------------------------------------------------------------------
--                                      4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2664aa:=integrate(atanh(1/z)+(1+z^2)^(1/2), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2681a:=integrate((z^2-I*z-3)^(1/2)+%pi-acot(z-1), z= -1..1,"noPole")
--
--                   4       2        +-------+     5      4      3       2
--             (- 16I  - 128I  + 768)\|- I - 2  - 4I  + 24I  + 32I  + 320I
--           + 
--             960I + 384
--        *
--            +-----+
--           \|I - 2
--       + 
--              5      4      3       2               +-------+    6      4
--         (- 4I  - 24I  + 32I  - 320I  + 960I - 384)\|- I - 2  - I  + 60I
--       + 
--             2
--         848I  - 192
--    *
--                    +-----+    2
--       log((4I + 8)\|I - 2  + I  + 8I - 4)
--   + 
--                4       2        +-------+     5      4      3       2
--            (16I  + 128I  - 768)\|- I - 2  + 4I  - 24I  - 32I  - 320I  - 960I
--           + 
--             - 384
--        *
--            +-----+
--           \|I - 2
--       + 
--            5      4      3       2               +-------+    6      4
--         (4I  + 24I  - 32I  + 320I  - 960I + 384)\|- I - 2  + I  - 60I
--       + 
--               2
--         - 848I  + 192
--    *
--                    +-------+    2
--       log((4I - 8)\|- I - 2  + I  - 8I - 4)
--   + 
--                 2                      2             4         2
--             (64I  - 256)log(25) + (256I  - 1024)atan(-) + (512I  - 2048)%pi
--                                                      3
--           + 
--                 3
--             256I  - 1024I
--        *
--            +-------+
--           \|- I - 2
--       + 
--             3      2
--         (16I  - 96I  - 320I - 128)log(25)
--       + 
--             3       2                    4
--         (64I  - 384I  - 1280I - 512)atan(-)
--                                          3
--       + 
--             3       2                        5      4       3        2
--        (128I  - 768I  - 2560I - 1024)%pi + 4I  + 72I  - 288I  - 1088I  + 64I
--       + 
--         1152
--    *
--        +-----+
--       \|I - 2
--   + 
--             3      2
--         (16I  + 96I  - 320I + 128)log(25)
--       + 
--             3       2                    4
--         (64I  + 384I  - 1280I + 512)atan(-)
--                                          3
--       + 
--             3       2                        5      4       3        2
--        (128I  + 768I  - 2560I + 1024)%pi - 4I  + 72I  + 288I  - 1088I  - 64I
--       + 
--         1152
--    *
--        +-------+
--       \|- I - 2
--   + 
--        4       2                    4        2            4
--     (4I  - 288I  + 64)log(25) + (16I  - 1152I  + 256)atan(-)
--                                                           3
--   + 
--         4        2                5       3
--     (32I  - 2304I  + 512)%pi + 32I  - 768I  + 2560I
-- /
--           2         +-------+      3       2                +-----+
--     ((256I  - 1024)\|- I - 2  + 64I  - 384I  - 1280I - 512)\|I - 2
--   + 
--         3       2                +-------+      4        2
--     (64I  + 384I  - 1280I + 512)\|- I - 2  + 16I  - 1152I  + 256
--                  Type: Union(f1: OrderedCompletion Expression Integer,...)

in2691a:=integrate(1/(z^2+I*z-1)^(1/2)+(1-I*z)^(1/2), z= -1..1,"noPole")
--
--                         +---+    2
--       3I log((- 4I + 8)\|- I  + I  - 8I + 4)
--     + 
--                           +-+    2                      +-----+
--       - 3I log((- 4I - 8)\|I  + I  + 8I + 4) + (4I + 4)\|I + 1
--     + 
--                +-------+
--       (4I - 4)\|- I + 1
--  /
--     6I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2720a:=integrate(acoth(1-(1-z)^(1/2))+atan(z-1), z= 0..1,"noPole")
--
--          5log(4) - %pi - 4
--          -----------------
--                  4
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2724a:=integrate(log(1-1/z^3)-(1+1/z^2)^(1/2), z= 0..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2732:=integrate(atan(1/3*3^(1/2)*(2*z-1)), z= 0..%plusInfinity)
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2783a:=integrate(1/z^(1/3)+atanh(1/z^(1/2)), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2815a:=integrate((I*z)^(1/2)-(1+1/(I*z)^(1/2))^(1/2), z= -1..1,"noPole")
--
--               +----------+              +--------+
--               | +---+                   | +-+
--               |\|- I  + 1               |\|I  + 1
--       - 6log( |----------  + 1) + 6log( |--------  + 1)
--               |   +---+                 |   +-+
--              \|  \|- I                 \|  \|I
--     + 
--                      +--------+
--                      | +-+
--                  +-+ |\|I  + 1      +-+
--              - 2\|I  |--------  + 2\|I  + 1
--                      |   +-+
--                     \|  \|I
--       - 3log(------------------------------)
--                            +-+
--                           \|I
--     + 
--                      +----------+
--                      | +---+
--                +---+ |\|- I  + 1      +---+
--            - 2\|- I  |----------  + 2\|- I  + 1
--                      |   +---+
--                     \|  \|- I
--       3log(------------------------------------)
--                            +---+
--                           \|- I
--     + 
--                        +----------+                    +--------+
--                        | +---+                         | +-+
--           +---+        |\|- I  + 1          +-+        |\|I  + 1        +-+
--       (12\|- I  - 24I) |----------  + (- 12\|I  - 24I) |--------  + 16I\|I
--                        |   +---+                       |   +-+
--                       \|  \|- I                       \|  \|I
--     + 
--           +---+
--       16I\|- I
--  /
--     24I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in285:=integrate(sqrt(1+sqrt(z-1)), z)
--
--                                +------------+
--            +-----+             | +-----+
--         (4\|z - 1  + 12z - 20)\|\|z - 1  + 1
--         -------------------------------------
--                           15
--                                          Type: Union(Expression Integer,...)

in295a:=integrate(z*sqrt(1+sqrt(z^2-1)), z)
--
--                                 +-------------+
--            +------+             | +------+
--            | 2          2       | | 2
--         (2\|z  - 1  + 6z  - 10)\|\|z  - 1  + 1
--         ---------------------------------------
--                            15
--                                          Type: Union(Expression Integer,...)

in295ba:=integrate(z*sqrt(1+sqrt(z^2-1)), z= 1..sqrt(2),"noPole")
--
--           +-+
--         4\|2  + 4
--         ---------
--             15
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

integrate(1/sqrt(20+x^2+y^2), x = -5..5,"noPole")
--
--                +-------+                       +-------+
--                | 2          2                  | 2          2
--         log(10\|y  + 45  + y  + 70) - log(- 10\|y  + 45  + y  + 70)
--         -----------------------------------------------------------
--                                      2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)
--

in291:=integrate(cos(2*atan(z-sqrt(2)))-sin(2*atan(z-sqrt(2))), z = 0..%plusInfinity)
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2924a:=integrate(1/(I*z)^(1/2)+(1+1/(I*z)^(1/2))^(1/2), z= -1..1,"noPole")
--
--                       +----------+                        +--------+
--                       | +---+                             | +-+
--         +---+ +-+     |\|- I  + 1           +---+ +-+     |\|I  + 1
--       2\|- I \|I log( |----------  + 1) - 2\|- I \|I log( |--------  + 1)
--                       |   +---+                           |   +-+
--                      \|  \|- I                           \|  \|I
--     + 
--                             +--------+
--                             | +-+
--                         +-+ |\|I  + 1      +-+
--                     - 2\|I  |--------  + 2\|I  + 1
--                             |   +-+
--        +---+ +-+           \|  \|I
--       \|- I \|I log(------------------------------)
--                                   +-+
--                                  \|I
--     + 
--                                 +----------+
--                                 | +---+
--                           +---+ |\|- I  + 1      +---+
--                       - 2\|- I  |----------  + 2\|- I  + 1
--                                 |   +---+
--          +---+ +-+             \|  \|- I
--       - \|- I \|I log(------------------------------------)
--                                       +---+
--                                      \|- I
--     + 
--                          +----------+                             +--------+
--                          | +---+                                  | +-+
--          +---+       +-+ |\|- I  + 1        +---+ +-+      +---+  |\|I  + 1
--      (8I\|- I  + 4I)\|I  |----------  + (8I\|- I \|I  + 4I\|- I ) |--------
--                          |   +---+                                |   +-+
--                         \|  \|- I                                \|  \|I
--     + 
--           +-+       +---+
--       16I\|I  + 16I\|- I
--  /
--        +---+ +-+
--     8I\|- I \|I
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2963a:=integrate(cosh(-1+(1-z)^(1/2))+(z^2+I*z-3)^(1/2), z= -1..1,"noPole")
--
--                                           +-+
--                     4       2            \|2  - 1 +-------+
--               (- 16I  - 128I  + 768)%e %e        \|- I - 2
--             + 
--                                                             +-+
--                  5      4      3       2                   \|2  - 1
--               (4I  - 24I  - 32I  - 320I  - 960I - 384)%e %e
--          *
--              +-----+
--             \|I - 2
--         + 
--                                                         +-+
--              5      4      3       2                   \|2  - 1 +-------+
--           (4I  + 24I  - 32I  + 320I  - 960I + 384)%e %e        \|- I - 2
--         + 
--                                            +-+
--               6      4       2            \|2  - 1
--           (- I  + 60I  + 848I  - 192)%e %e
--      *
--                        +-------+    2
--         log((- 4I + 8)\|- I - 2  + I  - 8I - 4)
--     + 
--                                         +-+
--                   4       2            \|2  - 1 +-------+
--               (16I  + 128I  - 768)%e %e        \|- I - 2
--             + 
--                                                               +-+
--                    5      4      3       2                   \|2  - 1
--               (- 4I  + 24I  + 32I  + 320I  + 960I + 384)%e %e
--          *
--              +-----+
--             \|I - 2
--         + 
--                                                           +-+
--                5      4      3       2                   \|2  - 1 +-------+
--           (- 4I  - 24I  + 32I  - 320I  + 960I - 384)%e %e        \|- I - 2
--         + 
--                                          +-+
--             6      4       2            \|2  - 1
--           (I  - 60I  - 848I  + 192)%e %e
--      *
--                        +-----+    2
--         log((- 4I - 8)\|I - 2  + I  + 8I - 4)
--     + 
--                                                              +-+     2
--                     2           +-+          2              \|2  - 1
--               ((256I  - 1024)%e\|2  + (- 256I  + 1024)%e)(%e        )
--             + 
--                       2          2          3                  2
--                 ((256I  - 1024)%e  + (- 256I  + 1024I)%e + 256I  - 1024)
--              *
--                    +-+
--                   \|2  - 1
--                 %e
--             + 
--                      2           +-+          2
--               (- 256I  + 1024)%e\|2  + (- 256I  + 1024)%e
--          *
--              +-------+
--             \|- I - 2
--         + 
--                     3       2                  +-+
--               (- 64I  + 384I  + 1280I + 512)%e\|2
--             + 
--                   3       2
--               (64I  - 384I  - 1280I - 512)%e
--          *
--                 +-+     2
--                \|2  - 1
--             (%e        )
--         + 
--                     3       2                 2
--               (- 64I  + 384I  + 1280I + 512)%e
--             + 
--                  5      4       3        2                      3       2
--               (4I  + 72I  - 288I  - 1088I  + 64I + 1152)%e - 64I  + 384I
--             + 
--               1280I + 512
--          *
--                +-+
--               \|2  - 1
--             %e
--         + 
--              3       2                  +-+       3       2
--          (64I  - 384I  - 1280I - 512)%e\|2  + (64I  - 384I  - 1280I - 512)%e
--      *
--          +-----+
--         \|I - 2
--     + 
--                     3       2                  +-+
--               (- 64I  - 384I  + 1280I - 512)%e\|2
--             + 
--                   3       2
--               (64I  + 384I  - 1280I + 512)%e
--          *
--                 +-+     2
--                \|2  - 1
--             (%e        )
--         + 
--                     3       2                 2
--               (- 64I  - 384I  + 1280I - 512)%e
--             + 
--                    5      4       3        2                      3       2
--               (- 4I  + 72I  + 288I  - 1088I  - 64I + 1152)%e - 64I  - 384I
--             + 
--               1280I - 512
--          *
--                +-+
--               \|2  - 1
--             %e
--         + 
--              3       2                  +-+       3       2
--          (64I  + 384I  - 1280I + 512)%e\|2  + (64I  + 384I  - 1280I + 512)%e
--      *
--          +-------+
--         \|- I - 2
--     + 
--                                                                    +-+     2
--            4        2          +-+         4        2             \|2  - 1
--       ((16I  - 1152I  + 256)%e\|2  + (- 16I  + 1152I  - 256)%e)(%e        )
--     + 
--            4        2         2         5       3                 4        2
--        (16I  - 1152I  + 256)%e  + (- 32I  + 768I  - 2560I)%e + 16I  - 1152I
--         + 
--           256
--      *
--            +-+
--           \|2  - 1
--         %e
--     + 
--             4        2          +-+         4        2
--       (- 16I  + 1152I  - 256)%e\|2  + (- 16I  + 1152I  - 256)%e
--  /
--                               +-+
--                2             \|2  - 1 +-------+
--           (256I  - 1024)%e %e        \|- I - 2
--         + 
--                                               +-+
--                 3       2                    \|2  - 1
--           (- 64I  + 384I  + 1280I + 512)%e %e
--      *
--          +-----+
--         \|I - 2
--     + 
--                                           +-+
--             3       2                    \|2  - 1 +-------+
--       (- 64I  - 384I  + 1280I - 512)%e %e        \|- I - 2
--     + 
--                                  +-+
--           4        2            \|2  - 1
--       (16I  - 1152I  + 256)%e %e
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2992a:=integrate(acoth(1-z^(1/2))+log(1+z^(1/3)), z= 1..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in2997a:=integrate(log(1+1/z^3)-log(abs(1+z)), z= %minusInfinity..%plusInfinity,"noPole")
--
--  - infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in3001a:=integrate(((I*z)^(1/2)-1)/(-2+(I*z)^(1/2)), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in3008a:=integrate(exp(-z^(1/3))+atanh(1/z^(1/2)), z= 0..%plusInfinity,"noPole")
--
--   + infinity
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in303a:=integrate(1/(1+cosh(n*z)^2), z= 0..1,"noPole")
--
--       log
--                     +-+           - n 8          +-+          - n 6
--              (- 816\|2  + 1154)(%e   )  + (- 560\|2  + 792)(%e   )
--            + 
--                     +-+          - n 4         +-+         - n 2
--              (- 144\|2  + 204)(%e   )  + (- 16\|2  + 24)(%e   )  + 2
--         /
--               - n 8        - n 6        - n 4        - n 2
--            (%e   )  + 12(%e   )  + 38(%e   )  + 12(%e   )  + 1
--     + 
--                  +-+
--       - log(- 24\|2  + 34)
--  /
--        +-+
--     4n\|2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in314a:=integrate(1/(sin(z)-1/2), z= 0..1,"noPole")
--
--       log
--                              2                                   2
--                   - 12sin(1)  + (42cos(1) + 48)sin(1) - 36cos(1)  - 84cos(1)
--                  + 
--                    - 48
--             *
--                 +-+
--                \|3
--            + 
--                     2                                     2
--             21sin(1)  + (- 72cos(1) - 84)sin(1) + 63cos(1)  + 144cos(1) + 84
--         /
--                   2
--            4sin(1)  - 4sin(1) + 1
--     + 
--                   +-+
--       - log(- 168\|3  + 291)
--  /
--      +-+
--     \|3
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in317:=integrate((cos(z)^a)^(1/a), z= 0..%pi)
--
--  0
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)

in319a:=integrate(exp(-z)*atan(sin(z)/(1+cos(z))), z=0..%plusInfinity,"noPole")
--
--         1
--         -
--         2
--                    Type: Union(f1: OrderedCompletion Expression Integer,...)


@
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