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Prove that int(0)^(a) f(x) dx = int(0)^(...

Prove that `int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx` and hence evaluate the following:
(f) `int_(0)^(pi)(xdx)/(a^(2)cos^(2)x + b^(2)sin^(2)x)`

A

`(pi)/(2ab)`

B

`(pi)/(ab)`

C

`(pi^(2))/(2ab)`

D

`(pi^(2))/(ab)`

Text Solution

Verified by Experts

The correct Answer is:
C
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