If $\begin{align*}g(x) = \int_0^x \cos \; 4t \; dt \end{align*}$, then $g(x+ \pi)$ equals

Question

( A ) $g(x) + g(\pi)$
( B ) $g(x) - g(\pi)$
( C ) $\frac{g(x)}{g(\pi)}$
( D ) $g(x) \sqrt{ g(\pi)}$