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The value of int(0)^(pi//2)(log(1+x si...

The value of
`int_(0)^(pi//2)(log(1+x sin^(2) theta))/(sin^(2)theta)d theta,xge0` is equal to

A

`(1)/(pi)(sqrt(1+x-1))`

B

`sqrtpi(sqrt(1+x-1))`

C

`pi(sqrt(1+x-1))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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