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int(dx)/("cosec"x+cosx)=...

`int(dx)/("cosec"x+cosx)=`

A

`(1)/(sqrt(3))log|(cosx-sinx-sqrt(3))/(cosx-sin+sqrt(3))|-Tan^(-1)(cos x+ sin x)+c`

B

`(1)/(2sqrt(3))log|(cosx-sinx-sqrt(3))/(cosx-sinx+sqrt(3))|-Tan^(-1)(cos x+ sin x)+c`

C

`(1)/(sqrt(3))log|(cosx-sinx-sqrt(3))/(cosx-sin+sqrt(3))|+Tan^(-1)(cos x+ sin x)+c`

D

`(1)/(2sqrt(3))log|(cosx-sinx-sqrt(3))/(cosx-sin+sqrt(3))|+Tan^(-1)(cos x+ sin x)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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