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The integral int(pi//4)^(pi//2)(2 "cosec...

The integral `int_(pi//4)^(pi//2)(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))^(16)du`

Text Solution

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The correct Answer is:
A
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