$\int x^{51}\left( an ^{-1} x+\cot ^{-1} x ight) d x$ equals to

Question

$\int x^{51}\left(	an ^{-1} x+\cot ^{-1} xight) d x$ equals to

Professor PC Thomas Classes · Answer

Inverse trig sum is constant $\frac{\pi}{2}$, giving matched integral.