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+%% 
+%%  Ein Beispiel der DANTE-Edition
+%%  
+%%  2. Auflage
+%% 
+%%  Beispiel 09-08-44 auf Seite 469.
+%% 
+%%  Copyright (C) 2016 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{352.81416pt}
+\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{ mit } p^2<4q \text{ und } 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}