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 $\int_{0}^{a} f(x)g(x) dx$ is equal to
- A$4\int_{0}^{a} f(x) dx$
- B$\int_{0}^{a} f(x) dx$
- C$2\int_{0}^{a} f(x) dx$
- D$-3\int_{0}^{a} f(x) dx$
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