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If int(cosecx+sinx)/(cosecsecx+tansin^2x...

If `int(cosecx+sinx)/(cosecsecx+tansin^2x)dx=f(x)` and`f(pi/2)=1` then `f(pi/4)`

A

`1+1/sqrt2(tan^(-1))1/2`

B

`1-1/sqrt2(tan^(-1))1/sqrt2`

C

`1-1/sqrt2(tan^(-1))1/2`

D

`1+1/sqrt2(tan^(-1))1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
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