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The value of f(k)=int(0)^(pi//2) log (si...

The value of `f(k)=int_(0)^(pi//2) log (sin ^(2) theta +k^(2) cos^(2) theta) d theta` is equal to

A

`pi log (1+k)- pi log ^(2)`

B

`pi log 2 - log (1+k)`

C

`log(1+k) - pi log 2`

D

None of these

Text Solution

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The correct Answer is:
A
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