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int(1)/(sinx-cosx)dx=...

`int(1)/(sinx-cosx)dx=`

A

`(1)/(sqrt2)log[tan((pi)/(4)-(x)/(8))]+c`

B

`(1)/(sqrt2)log[cot((pi)/(4)-(x)/(8))]+c`

C

`(1)/(sqrt2)tan((x)/(2)-(pi)/(8))+c`

D

`(1)/(sqrt2)log[tan((x)/(2)-(pi)/(8))]+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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