AP

MATHEMATICS · Multi-part · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

I = \int \tan^{-1}(2x)\,dx

. (i) Find

I

and express your answer in its simplest form. (ii) Differentiate your answer to part (i) to verify that it is indeed the antiderivative of

\tan^{-1}(2x)