Solve:
$\int \frac{1}{\sqrt{1 - e^{2 x}}} d x$

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Solution

$\int \frac{1}{\sqrt{1 - e^{2 x}}} d x$
$= \int \frac{1}{\sqrt{1 - (e^{x})^{2}}} d x$
$= {sin}^{- 1} (e^{x}) + c$

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