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Q)

$\begin{align*} \int \frac{1}{x} \frac{\sqrt{x-1}}{x+1}dx \end{align*}$ is equal to :


( A ) $\sinh^{-1}x - \sec^{-1} x +c$
( B ) $\sinh^{-1}x - \cos^{-1} x +c$
( C ) $\cosh^{-1}x + \sec^{-1} x +c$
( D ) $\cosh^{-1}x - \sec^{-1} x +c$

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