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int(dx)/(2+cosx-sinx)=...

`int(dx)/(2+cosx-sinx)=`

A

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

B

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

C

`2tan^(-1)((1)/(2)(tan((x)/(2))-1))+c`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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