Prove that :int(0)^(pi//2) (x sin x cos ...

Prove that :`int_(0)^(pi//2) (x sin x cos x)/(sin^(4) x+ cos^(4)x)dx =(pi)^2/(16)`

A

`(pi^(2))/(8)`

B

`(pi^(2))/(16)`

C

`(pi^(2))/(32)`

D

`(pi^(2))/(4)`

Verified by Experts

The correct Answer is:

B

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