While evaluating by writing it as a product

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

While evaluating

\displaystyle\int \tan^{-1}x \, dx

by writing it as a product

\tan^{-1}x\cdot 1

, which function should be differentiated so that the remaining integral is easier to compute? (a)

x

(b)

\dfrac{1}{1+x^{2}}

(c)

\tan^{-1}x

(d)

1