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Evaluate the indefinite integral, $\int \frac{x}{x^{2}-1}dx$.

$\cfrac{-1}{\left ( x^{2}-1 \right )^{2}}+C$

$\cfrac{1}{2}\ln\left | x^{2}-1 \right |+C$

$2\ln\left | x^{2}-1 \right |+C$

$\cfrac{1}{2}\arctan x+C$