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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/mapleok.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\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 Axiom where the equations
+could be applied, and ran them thru the Axiom system. These are the
+set of results that give answers in Axiom 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 Axiom. 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 Axiom) 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 Axiom.
+
+For the next phase I've built a special purpose version of Axiom
+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\%) Axiom 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. Axiom
+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.
+
+Axiom 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 Axiom. Some of the special
+functions have equivalent Axiom representations but Maple is much stronger
+in special functions. Axiom 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}
+
+Axiom'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{Axiom 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 Axiom 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_
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+-- 00000000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000000_
+-- 000000000000000000000000000000000000000000000
+-- *
+-- 3+--+
+-- \|10
+-- +
+-- -
+-- 19999999999999999999999999999999999999999999999999999999999999_
+-- 9999999999999999999999999999999999999999999999999999999999999_
+-- 9999999999999999999999999999999999999999999999999999999999999_
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+-- 9999999999999999999999999999999999999999999999999999999999999_
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+-- 9999999999999999999999999999999999999999999999999999999999999_
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+-- 9999999999999999999999999999999999999999999999999999999999999_
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+-- 9999999999999999999999999999999999999999999999999999999999999_
+-- 9999999999999999999999999999999999999999999999999999999999999_
+-- 9999999999999999999999999999999999999999999999999999999999999_
+-- 9999999999999999999999999999999999999999999999999999999
+-- +
+-- -
+-- 12
+-- *
+-- log
+-- 100000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
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+-- 00000000000000000000000000000000000000000000000000000000000_
+-- 00000000000000000000000000000000000000000000000000000000000_
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+-- 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,"noPole")
+--
+-- + 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,"noPole")
+--
+-- + 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,...)
+
+
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-25 14:42:34 +0000