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diff --git a/Master/texmf-dist/doc/latex/math-e/10-05-2.ltx b/Master/texmf-dist/doc/latex/math-e/10-05-2.ltx new file mode 100644 index 00000000000..bf5e1c237cf --- /dev/null +++ b/Master/texmf-dist/doc/latex/math-e/10-05-2.ltx @@ -0,0 +1,33 @@ +%% +%% An UIT Edition example +%% +%% Example 10-05-2 on page 208. +%% +%% 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{amsmath,esint} \newcommand*\diff{\mathop{}\!\mathrm{d}} +\StopShownPreambleCommands +\begin{document} +\begin{align*} +\biggl(\int_{-\infty}^\infty e^{-x^2}\,dx\biggr)^2 + &= \int_{-\infty}^\infty\int_{-\infty}^\infty e^{-(x^2+y^2)}\diff x\diff y \\ + &= \int_0^{2\pi}\int_0^\infty e^{-r^2}r\diff r\diff\theta \\ + &= \int_0^{2\pi}\biggl(-{e^{-r^2}\over2}\bigg\vert_{r=0}^{r=\infty}\,\biggr)\diff\theta\\ + &= \pi \tag*{q.e.d.} +\end{align*} +\end{document} |