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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/2+log sqrt(2)`

B

`pi/2-log sqrt(2)`

C

`pi/4+log sqrt(2)`

D

`pi/4-log sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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