Let f be integrable over [0,a] for any r...

Let f be integrable over [0,a] for any real a. If we define `I_(1)=int_(0)^(pi//2)costhetaf(sintheta+cos^(2)theta)d theta` and `I_(2)=int_(0)^(pi//2)sin 2theta f(sin theta+cos^(2)theta)d theta`. then

A

`I_(1)=I_(2)`

B

`I_(1)=-I_(2)`

C

`I_(1)=2I_(2)`

D

`I_(1)=-2I_(2)`

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The correct Answer is:

A

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