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`int(dx)/(cosx-sinx)` is equal to a)`(1)/(sqrt(2))log|tan(pi/2-pi/8)|+c` b)`(1)/(sqrt(2))log|cot(x/2)|+c` c)`(1)/(sqrt(2))log|tan(pi/2-(3pi)/(8))|+c` d)`(1)/(sqrt(2))log|tan(x/2+(3pi)/(8))|+c`

A

`(1)/(sqrt(2))log|tan(pi/2-pi/8)|+c`

B

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

C

`(1)/(sqrt(2))log|tan(pi/2-(3pi)/(8))|+c`

D

`(1)/(sqrt(2))log|tan(x/2+(3pi)/(8))|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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