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If int(0)^(pi//2) (cot x)/(cot x+cosecx)...

If `int_(0)^(pi//2) (cot x)/(cot x+cosecx)dx=m(pi+n)`, then `m*n` is equal to :

A

1

B

`(1)/(2)`

C

`-(1)/(2)`

D

`-1`

Text Solution

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The correct Answer is:
D
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