If f(x) and g(x) are continuous function...

If `f(x)` and `g(x)` are continuous functions satisfying `f(x) = f(a-x)` and `g(x) + g(a-x) = 2`, then what is `int_(0)^(a) f(x) g(x)dx` equal to ?

A

`int_0^a f(x) dx`

B

`int_a^0 f(x) dx`

C

`2 int_0^a f(x) dx`

D

None of these

Verified by Experts

The correct Answer is:

A

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