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Display information for equation id:math.2546.50 on revision:2546
* Page found: Das ideale Fermigas (eq math.2546.50)
(force rerendering)Occurrences on the following pages:
Hash: 9426e6878a764f9381f6e4770a6f7203
TeX (original user input):
\begin{align}
& \int_{-\infty }^{\infty }{{}}dx\frac{{{e}^{x}}}{{{\left( {{e}^{x}}+1 \right)}^{2}}}=\left[ \frac{-1}{\left( {{e}^{x}}+1 \right)} \right]_{-\infty }^{\infty }=1 \\
& \int_{-\infty }^{\infty }{{}}dx\frac{x{{e}^{x}}}{{{\left( {{e}^{x}}+1 \right)}^{2}}}=0\quad da\ Integrand\ ungerade \\
& \int_{-\infty }^{\infty }{{}}dx{{x}^{2}}\frac{{{e}^{x}}}{{{\left( {{e}^{x}}+1 \right)}^{2}}}:=I \\
\end{align}
TeX (checked):
{\begin{aligned}&\int _{-\infty }^{\infty }{}dx{\frac {{e}^{x}}{{\left({{e}^{x}}+1\right)}^{2}}}=\left[{\frac {-1}{\left({{e}^{x}}+1\right)}}\right]_{-\infty }^{\infty }=1\\&\int _{-\infty }^{\infty }{}dx{\frac {x{{e}^{x}}}{{\left({{e}^{x}}+1\right)}^{2}}}=0\quad da\ Integrand\ ungerade\\&\int _{-\infty }^{\infty }{}dx{{x}^{2}}{\frac {{e}^{x}}{{\left({{e}^{x}}+1\right)}^{2}}}:=I\\\end{aligned}}
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