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Let f:RtoR and g:R toR be continuous fun...

Let `f:RtoR` and `g:R toR` be continuous functions. Then the value of `int_(-pi//2)^(pi//2)(f(x)+f(-x))(g(x)-g(-x))dx` is

A

`2int_(0)^(pi//2)(f(x)+f(-x))(g(x)-g(-x))dx`

B

`2int_(0)^(-pi//2)(f(x)+f(-x))(g(x)-g(-x))dx`

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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