The value of $\begin{align*} \int_0^1 \frac{8 \log (1+x)}{1+x^2} dx \end{align*} $ is

Question

( A ) $\frac{\pi}{2} \log 2$
( B ) $\pi \log 2$
( C ) $\frac{\pi}{8} \log 2$
( D ) $\log 2$