Mathematics

Problem

The value of the integral

\int_{-\pi/2}^{\pi/2} \left( x^2 + \ln \frac{\pi+x}{\pi-x} \right) \cos x dx

is (A) 0 (B)

\frac{\pi^2}{2} - 4

(C)

\frac{\pi^2}{2} + 4

(D)

\frac{\pi^2}{2}