Question:
Mark $(\sqrt{)}$ against the correct answer in each of the following:
$\int \tan ^{-1} x d x=?$
A. $x \tan ^{-1} \mathrm{x}+\frac{1}{2} \log \left|1+\mathrm{x}^{2}\right|+\mathrm{C}$
B. $x \tan ^{-1} x-\frac{1}{2} \log \left|1+x^{2}\right|+C$
C. $-x \tan ^{-1} x+\frac{1}{2} \log \left|1+x^{2}\right|+C$
D. none of these
Solution: