Question

use suitable substitution and table of integral to evaluate ::: integral [ arctan (x/2) ]/ [x^2 +4] dx


ans: 1/4 ( arctan (x/2)^2 ) +c

Answer 1

Is this the integral?
\[
\int\frac{\arctan\left(\frac{x}{2}\right)}{x^2+4}\,dx
\]

Answer 2

Hint: Integration by parts.