Evalute :intdx/(sinx+secx)...

Evalute :`intdx/(sinx+secx)`

A

`1/(2sqrt(3))log|(sqrt(3)+sinx-cosx)/(sqrt(3)-(sinx-cosx))|+tan^(-1)(sinx+cosx)+C`

B

`1/(2sqrt(3))log|(sqrt(3)+sinx-cosx)/(sqrt(3)-(sinx-cosx))|+tan^(-1)(sinx-cosx)+C`

C

`1/(2sqrt(3))log(sqrt(3)+sinx+cosx)/(sqrt(3)-(sinx-cosx))|+tan^(-1)sinx+cosx+C`

D

`1/(2sqrt(3))log |(sqrt(3)+sinx-cosx)/(sqrt(3)-(sinx+cosx))|+tan^(-1)(sinx+cosx)+C`

Text Solution

Verified by Experts

The correct Answer is:

A

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