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AP® Calculus AB-BC

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Moderate

Integrating Using the Log Rule

APCALC-DBNGHZ

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

A

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

B

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

C

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

D

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