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Prove that int(0)^(pi//2)log (sinx)dx=in...

Prove that `int_(0)^(pi//2)log (sinx)dx=int_(0)^(pi//2) log (cosx)dx=-(pi)/(2) log 2`.

A

`pi/4log2`

B

`(-pi)/4log2`

C

`pi/2log2`

D

`(-pi)/2 log 2`

Text Solution

Verified by Experts

The correct Answer is:
D
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