# Algebraic manipulation of integral

dirk_mec1

## Homework Statement

$$\int_0^{\frac{\pi}{2}} \frac{\cos(x)}{1+\sin^2(x)} \ln(1+\cos(x))\ dx$$

## The Attempt at a Solution

Can anyone give me a hint as to what to do?

$$\int_0^1 \frac{\arctan(y)}{y\sqrt{1-y^2}}\ dy - \int_0^1 \frac{\arctan{y}}{y}\ dy$$