Let $f$ and $g$ be continuous functions on $[0, a]$ such that $f(x)=f(a-x)$ and $g(x)+g(a-x)=4$,then $\int_0^a f(x) g(x) d x$ is equal to
- A$4 \int_0^a f(x) d x$
- B$\int_0^a f(x) d x$
- C$2 \int_0^{a} f(x) d x$
- D$-3 \int_0^a f(x) d x$
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