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+%% 
+%%  Ein Beispiel der DANTE-Edition
+%%  
+%%  2. Auflage
+%% 
+%%  Beispiel 09-08-38 auf Seite 465.
+%% 
+%%  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}
+\[ s = \begin{dcases}
+  \int\limits_a^b\sqrt{1+y\prime^2}\diff x                 &  y=f(x)\\
+  \int\limits_{t_1}^{t_2}\sqrt{\dot{x}^2+\dot{y}^2}\diff t & x=f(t); y=f(t) \\
+  \int\limits_{\varphi_1}^{\varphi_2}
+        \sqrt{\left(\frac{\diff r}{\diff\varphi}\right)^2+r^2}\,\diff\varphi
+                                                           & r=f(\varphi)
+ \end{dcases} \]
+\end{document}