Question:
Mark $(\sqrt{)}$ against the correct answer in each of the following:
$\int \tan ^{-1}\left(\frac{3 x-x^{3}}{1-3 x^{2}}\right) d x=?$
A. $3 x \tan ^{-1} x+\frac{3}{2} \log \left(1+x^{2}\right)+C$
B. $3 x \tan ^{-1} x-\frac{3}{2} \log \left(1+x^{2}\right)+C$
C. $3 x \cos ^{-1} x-\frac{3}{2} \sqrt{1-x^{2}}+C$
D. $3 x \sin ^{-1} x+\frac{3}{2} \sqrt{1-x^{2}}+C$
Solution:
