Mark against the correct answer in each of the following:

Question:

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

$\int x \tan ^{-1} x d x=?$

A. $\frac{1}{2}\left(x^{2}+1\right) \tan ^{-1} x-\frac{1}{2} x+C$

B. $\frac{1}{2}\left(x^{2}-1\right) \tan ^{-1} x-\frac{1}{2} x+C$

C. $\frac{1}{2}\left(x^{2}+1\right) \tan ^{-1} x+\frac{1}{2} x+C$

D. none of these

Solution:

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