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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/intef.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input intef.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1993.
+@
+<<*>>=
+<<license>>
+------------------------------ intef.input --------------------------------
+
+)clear all
+
+(a*x+b) / (b**2 * x * log(x)**2 + 2*a*b*x**2*log(x) + a**2*x**3 + x)
+integrate(%,x)
+
+((exp(x)-x**2+2*x)/(x**2*(exp(x)+x)**2))*exp((x**2-1)/x+1/(exp(x)+x))
+integrate(%,x)
+
+-- here are three which do not have elementary integrals
+sin(x)/x
+integrate(%,x)
+
+x * cot x
+integrate(%,x)
+
+(2 * log(x)**2 - log x - x**2) / (log(x)**3 - x**2 * log x)
+integrate(%,x)
+
+-- real trigonometric functions are handled directly
+cos(a * x) / (1 + cos(a * x))
+integrate(%,x)
+
+cos(3*x)*sin(2*x)
+integrate(%,x)
+
+-- integrals of hyperb. trigs are transformed back into hyperb. trigs.
+cosh(a*x)*sinh(a*x)
+integrate(%,x)
+
+
+
+
+
+
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}