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The value of int(-pi//2)^(pi//2)sqrt(cos...

The value of `int_(-pi//2)^(pi//2)sqrt(cos^(2n-1)x-cos^(2n+1)x)dx,n in N`, is a)`(4)/(2n+1)` b)`(1)/(2n+1)` c)`(2)/(2n+1)` d)`(1)/(2(2n+1))`

A

`(4)/(2n+1)`

B

`(1)/(2n+1)`

C

`(2)/(2n+1)`

D

`(1)/(2(2n+1))`

Text Solution

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The correct Answer is:
A
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