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Evaluate : (i) int(0)^(pi//2)(cosx)/((co...

Evaluate : `(i) int_(0)^(pi//2)(cosx)/((cos.(x)/(2)+sin.(x)/(2)))dx` `(ii) int_(0)^(pi//2)(cosx)/((1+cosx+sinx))dx`

A

`(pi)/4+1/2log2`

B

`(pi)/4+log2`

C

`(pi)/4-1/2log2`

D

`(pi)/4-log2`

Text Solution

Verified by Experts

The correct Answer is:
C
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