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If f and g are continuous functions in [...

If f and g are continuous functions in [0, 1] satisfying `f(x) = f(a-x) and g(x) + g(a-x) = a`, then `int_(0)^(a)f(x)* g(x)dx` is equal to

A

`a/2`

B

`a/2 underset0overseta int f(x)dx`

C

`underset0 overseta int f(x)dx`

D

`a underset0overseta int f(x)dx`

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