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int 1/(1+tanx) dx...

`int 1/(1+tanx) dx`

A

`x-log(sinx+cosx)+c`

B

`sec^(2)((pi)/(4)-x)+c`

C

`x+log[tan((pi)/(4)+(x)/(2))]+c`

D

`(x)/(2)+(1)/(2)log(sinx+cosx)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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