\documentclass{article} \usepackage{axiom} \begin{document} \title{\$SPAD/src/input danzwill.input} \author{The Axiom Team} \maketitle \begin{abstract} \end{abstract} \eject \tableofcontents \eject \section{bugs} \subsection{bug1} integrate: pole in path of integration <>= )set mes test off d9:= integrate( 1/x**2,x=-1..1) )set mes test on @ <>= -- X-External-Networks: yes -- Date: Fri, 3 Apr 92 10:58:35 -0500 -- From: zwilling@world.std.com (Daniel Zwillinger) -- To: axiom@watson.ibm.com -- -- Enclosed is my test suite of integrals in MAPLE format. -- I would appreciate you running it under AXIOM and returning the -- results to me via email. -- -- Thank you. -- -- ---------------------------------------------------------------------- -- Daniel Zwillinger email: zwilling@world.std.com -- 61 Highland Avenue phone: 617/646-8565 -- Arlington, MA 02174 -- Home of: Handbook of Differential Equations -- Home of: Handbook of Integration -- ---------------------------------------------------------------------- -- )clear all )set break resume i1 := integrate( sin(x), x) --i2 := integrate( sqrt(tan(x)), x) i3 := integrate( x/(x**3-1),x) i4 := integrate( x/sin(x)**2, x) i5 := integrate( log(x)/sqrt(x+1), x) i6 := integrate( exp(-a*x**2), x) i7 := integrate( x/(log(x))**3, x) i8 := integrate( x/(sqrt(1+x)+sqrt(1-x)),x) i9 := integrate( 1/(2+cos(x)),x) i10:= integrate( sin(x)/x**2, x) d1:= integrate( 1/(2+cos(x)),x=0..4*%pi) )set mes test off d2:= integrate( sin(x)/x,x=%minusInfinity..%plusInfinity) )set mes test on d3:= integrate( x**2/(1+x**3),x=0..%plusInfinity) d4:= integrate( exp(-x)/sqrt(x),x=0..%plusInfinity) d5:= integrate( exp(-x**2)*log(x)**2,x=0..%plusInfinity) d6:= integrate( exp(-x)*log(x)**2*x**3,x=1..%plusInfinity) d7:= integrate( exp(-x)*x**(1/3),x=1..%plusInfinity) d8:= integrate( exp(-x)*x**2/(1-exp(-2*x)),x=0..%plusInfinity) @ \section{License} <>= --Copyright The Numerical Algorithms Group Limited 1994. @ <<*>>= <> -- X-External-Networks: yes -- Date: Fri, 3 Apr 92 10:58:35 -0500 -- From: zwilling@world.std.com (Daniel Zwillinger) -- To: axiom@watson.ibm.com -- -- Enclosed is my test suite of integrals in MAPLE format. -- I would appreciate you running it under AXIOM and returning the -- results to me via email. -- -- Thank you. -- -- ---------------------------------------------------------------------- -- Daniel Zwillinger email: zwilling@world.std.com -- 61 Highland Avenue phone: 617/646-8565 -- Arlington, MA 02174 -- Home of: Handbook of Differential Equations -- Home of: Handbook of Integration -- ---------------------------------------------------------------------- -- )clear all )set break resume i1 := integrate( sin(x), x) --i2 := integrate( sqrt(tan(x)), x) i3 := integrate( x/(x**3-1),x) i4 := integrate( x/sin(x)**2, x) i5 := integrate( log(x)/sqrt(x+1), x) i6 := integrate( exp(-a*x**2), x) i7 := integrate( x/(log(x))**3, x) i8 := integrate( x/(sqrt(1+x)+sqrt(1-x)),x) i9 := integrate( 1/(2+cos(x)),x) i10:= integrate( sin(x)/x**2, x) d1:= integrate( 1/(2+cos(x)),x=0..4*%pi) )set mes test off d2:= integrate( sin(x)/x,x=%minusInfinity..%plusInfinity) )set mes test on d3:= integrate( x**2/(1+x**3),x=0..%plusInfinity) d4:= integrate( exp(-x)/sqrt(x),x=0..%plusInfinity) d5:= integrate( exp(-x**2)*log(x)**2,x=0..%plusInfinity) d6:= integrate( exp(-x)*log(x)**2*x**3,x=1..%plusInfinity) d7:= integrate( exp(-x)*x**(1/3),x=1..%plusInfinity) d8:= integrate( exp(-x)*x**2/(1-exp(-2*x)),x=0..%plusInfinity) @ \eject \begin{thebibliography}{99} \bibitem{1} nothing \end{thebibliography} \end{document}