The integral overset(pi//2)underset(pi//...

The integral `overset(pi//2)underset(pi//4)int (2 cosecx)^(17)dx` is equal to

A

`int_(0)^(log(1+sqrt(2)))2(e^(u)+e^(-u))^(16)du`

B

`int_(0)^(log(1+sqrt(2)))(e^(u)+e^(-u))^(17)du`

C

`int_(0)^(log(1+sqrt(2)))(e^(u)-e^(-u))^(17)du`

D

`int_(0)^(log(1+sqrt(2)))2(e^(u)-e^(-u))^(16)du`

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The correct Answer is:

A

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