Mark against the correct answer in each of the following:
Question:

Mark $(\sqrt{ })$ against the correct answer in each of the following:

$\int \frac{x \tan ^{-1} x}{\left(1-x^{2}\right)^{3 / 2}} d x=?$

A. $\frac{\tan ^{-1} x}{\sqrt{1+x^{2}}}-\frac{x}{\sqrt{1+x^{2}}}+C$

B. $\frac{-\tan ^{-1} x}{\sqrt{1+x^{2}}}+\frac{x}{\sqrt{1+x^{2}}}+C$

C. $\frac{x \tan ^{-1} x}{\sqrt{1+x^{2}}}+\frac{1}{2} \log \left|\frac{x}{\sqrt{1+x^{2}}}\right|+C$

D. none of these

Solution:

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