$\int {(\frac{e^{x} + e^{- x}}{e^{x} - e^{- x}})}^{2} d x$ .

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Solution

$\int (\frac{e^{x} + e^{- x}}{e^{x} - e^{- x}})^{2} d x$
$\int {coth}^{2} x d x$
$\int (c o s e c h^{2} x + 1) d x$
$- coth x + x + C$

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