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If I(1)=int(0)^(pi//2)(cos^(2)x)/(1+cos^...

If `I_(1)=int_(0)^(pi//2)(cos^(2)x)/(1+cos^(2)x)dx,I_(2)=int_(0)^(pi//2)(sin^(2)x)/(1+sin^(2)x)dx`,
`I_(3)=int_(0)^(pi//2)(1+2cos^(2)x.sin^(2)x)/(4+2cos^(2)xsin^(2)x)dx`, then

A

`I_(1)=I_(2)gtI_(3)`

B

`I_(3)gtI_(1)=I_(2)`

C

`I_(1)=I_(2)=I_(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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