Question

What is the integral of Arctan(x)dx bounds from 0 to 1?

Answer 1

\[\int\limits_{0}^{1}\arctan(x)dx\]

Answer 2

Hmm I guess we have to apply `Integration by Parts`.

\[\Large\bf u=\arctan x, \qquad\qquad dv=dx\]\[\Large\bf du=?, \qquad\qquad\qquad\qquad v=?\]