$\int \frac{x^{2}}{1 - x^{4}} d x$

Easy

A

$\frac{1}{4} \log |\frac{1 + x}{1 - x}| - \frac{1}{2} \tan^{- 1} x + C$
B

$\frac{1}{4} \log |\frac{1 + x}{1 - x}| + \frac{1}{2} \tan^{- 1} x + C$
C

$\frac{1}{4} \log |\frac{1 + x^{2}}{1 - x^{2}}| - \frac{1}{2} \tan^{- 1} x + C$
D

$\frac{1}{4} \log |\frac{1 - x^{2}}{1 + x^{2}}| - \frac{1}{2} \tan^{- 1} x^{2} + C$

Solution

$\frac{x^{2}}{1 - x^{4}} = \frac{1}{2} [\frac{1}{1 - x^{2}} - \frac{1}{1 + x^{2}}]$

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