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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 int_0^a f(x) dx`

C

`int_0^a f(x) dx`

D

`a int_0^a f(x) dx`.

Text Solution

Verified by Experts

The correct Answer is:
B
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