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Let f(x)=sin^(4)x-cos^(4)x int(0)^((pi)...

Let `f(x)=sin^(4)x-cos^(4)x`
`int_(0)^((pi)/(2))f(x)dx`=

A

`(3pi)/(16)`

B

`(3pi)/(8)`

C

0

D

`(pi)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
C
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  • 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
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  • Let f(x)=sin^(4)x-cos^(4)xandg(x)=1-2sin^(2)xcos^(2)x . intg(x)dx =

    A
    `(3x)/(4)-(cos4x)/(16)+c`
    B
    `(3x)/(4)+(sin4x)/(16)+c`
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