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Evaluate: int0^(pi//4)tan^2x dx...

Evaluate: `int_0^(pi//4)tan^2x dx`

A

`(1-(pi)/(4))`

B

`(1+(pi)/(4))`

C

`(1-(pi)/(2))`

D

`(1+(pi)/(2))`

Text Solution

Verified by Experts

`I=int_(0)^(pi//2)(sec^(2)x-1)dx=[tanx-x]_(0)^(pi//2)=(1-(pi)/(4))`.
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