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int (dx)/(cos x-sin x) is equal to :...

`int (dx)/(cos x-sin x)` is equal to :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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