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+%%
+%% An UIT Edition example
+%%
+%% Example 09-17-12 on page 193.
+%%
+%% Copyright (C) 2010 Herbert Voss
+%%
+%% It may be distributed and/or modified under the conditions
+%% of the LaTeX Project Public License, either version 1.3
+%% of this license or (at your option) any later version.
+%%
+%% See http://www.latex-project.org/lppl.txt for details.
+%%
+%%
+%% ====
+% Show page(s) 1
+%%
+\documentclass[]{exaarticle}
+\pagestyle{empty}
+\setlength\textwidth{375.57637pt}
+\AtBeginDocument{\setlength\parindent{0pt}}
+\StartShownPreambleCommands
+\usepackage{mathtools}
+\newcommand*\diff{\mathop{}\!\mathrm{d}}
+\StopShownPreambleCommands
+\begin{document}
+\begin{align*}
+\MoveEqLeft[6]
+ \frac{A}{x-x_1},\ \frac{A}{\left(x-x_1\right)^k},\ \frac{Ax+b}{x^2+px+q},\
+ \frac{Ax+b}{\left(x^2+px+q\right)^k} \text{ with } p^2<4q \text{ and } A\ne 0\\
+ \int\frac{A}{x-x_1}\diff x &= A\ln\left|x-x_1\right|+C\\
+ \int\frac{A}{\left(x-x_1\right)^k}\diff x
+ &= -\frac{A}{(k-1)\left(x-x_1\right)^{k-1}}+C\\
+ \int\frac{\diff x}{x^2+px+q}
+ &= \frac{2}{\sqrt{4q-p^2}}\cdot\arctan\frac{2x+p}{\sqrt{4q-p^2}}+C\\
+ \int\frac{Ax+B}{x^2+px+q}\diff x
+ &= \frac{A}{2}\ln\left|x^2+px+q\right| +\frac{2B-Ap}{\sqrt{4q-p^2}}
+ \cdot\arctan\frac{2x+p}{\sqrt{4q-p^2}}+C
+\end{align*}
+\end{document}