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\limits_0^a \, $f(x) g(x) dx is equal to :

Question

4$\int\limits_0^a \, $f(x)dx

$-$ 3$\int\limits_0^a \, $f(x)dx

$\int\limits_0^a \, $f(x)dx

2$\int\limits_0^a \, $f(x)dx

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