If $f$ and $g$ are continuous functions on $[0, a]$ satisfying $f(x) = f(a - x)$ and $g(x) + g(a - x) = 2$,then $\int_0^a f(x)g(x) dx = $
- A$\int_0^a f(x) dx$
- B$\int_a^0 f(x) dx$
- C$2\int_0^a f(x) dx$
- DNone of these
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