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Evaluate: int0^(pi/4) secx/(1+2sin^2x)dx...

Evaluate: `int_0^(pi/4) secx/(1+2sin^2x)dx`

A

`1/3[log(sqrt(2)+1)+(pi)/(2sqrt(2))]`

B

`1/3[log(sqrt(2)+1)-(pi)/(2sqrt(2))]`

C

`3[log(sqrt(2)+1)-(pi)/(2sqrt(2))]`

D

`3[log(sqrt(2)+1)+(pi)/(2sqrt(2))]`

Text Solution

Verified by Experts

The correct Answer is:
A
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