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Let f(x)=sin^(4)x-cos^(4)xandg(x)=1-2sin...

Let `f(x)=sin^(4)x-cos^(4)xandg(x)=1-2sin^(2)xcos^(2)x`.
`int_(0)^((pi)/(4))(f(x))/(g(x))dx`=

A

`(1)/(sqrt(2))log(sqrt(2)-1)`

B

`(1)/(2)log(sqrt(2)+1)`

C

`(1)/(sqrt(2))log(sqrt(2)+1)`

D

`(1)/(2)log(sqrt(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
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