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overset(2pi) underset(0)int(xsin^(2n)x)/...

`overset(2pi) underset(0)int(xsin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx,n gt 0`, is equal to

A

`pi`

B

`pi^(2)`

C

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

D

none of these

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The correct Answer is:
B
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