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int(0)^(pi//2) (cos x ) / ((sin x + cos ...

`int_(0)^(pi//2) (cos x ) / ((sin x + cos x)^(2) )dx =`

A

`1/sqrt(2) log ((sqrt(2)+1)/(sqrt(2)-1))`

B

`1/sqrt(2) log ((sqrt(2)-1)/(sqrt(2)+1))`

C

`1/(2sqrt(2)) log ((sqrt(2)+1)/(sqrt(2)-1))`

D

`1/(2sqrt(2)) log ((sqrt(2)-1)/(sqrt(2)+1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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