The following integral underset((pi)/(4)...

The following integral `underset((pi)/(4))overset((pi)/(2))(int)(2" cosec "x)^(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))^(17)du`

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