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Let f and g be continuous functions on [ 0 , a] such that `f(x)=f(x)=f(a-x)andg(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

`2int_(0)^(a) f(x) dx`

C

`-3 int_(0)^(a) f(x) dx`

D

`int_(0)^(a) f(x) dx`

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The correct Answer is:
B
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