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int (1)/(cos x+ sin x)dx=...

`int (1)/(cos x+ sin x)dx=`

A

`(1)/(sqrt(2))log|(sqrt(2)-tan(x//2)-1)/(sqrt(2)-tan(x//2)-1)|+c`

B

`(1)/(sqrt(2))log|(sqrt(2)-tan(x//2)-1)/(sqrt(2)-tan(x//2)+1)|+c`

C

`(1)/(sqrt(2))log|(sqrt(2)+tan(x//2)-1)/(sqrt(2)-tan(x//2)+1)|+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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