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%%
%% Ein Beispiel der DANTE-Edition
%% Mathematiksatz mit LaTeX
%% 2. Auflage
%%
%% Beispiel 06-03-15 auf Seite 103.
%%
%% Copyright (C) 2012 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}}
\setcounter{equation}{40}
\renewcommand\theequation{6.\arabic{equation}}
\StartShownPreambleCommands
\newcommand*\diff{\mathop{}\!\mathrm{d}}
\StopShownPreambleCommands
\begin{document}
\begin{equation}
\begin{array}{rl}
A_1
&=\left|\int_0^1(f(x)-g(x))\diff x\right|+\left|\int_1^2(g(x)-h(x))\diff x\right|\\
&=\left|\int_0^1(x^2-3x)\diff x\right|+\left|\int_1^2(x^2-5x+6)\diff x\right|\\
&=\left|\frac{x^3}{3}-\frac{3}{2}x^2\right|_0^1+\left|\frac{x^3}{3}
-\frac{5}{2}x^2+6x\right|_1^2\\
&=\left|\frac13-\frac32\right|+\left|\frac83-\frac{20}{2}+12-\left(\frac13
-\frac{5}{2}+6\right)\right|\\
&=\left|-\frac76\right|+\left|\frac{28}{6}-\frac{23}{6}\right|=\frac76
+\frac{5}{6}=2\,\textrm{FE}
\end{array}
\end{equation}
\end{document}
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