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int(1)/(sinx+sec x)dx=...

`int(1)/(sinx+sec x)dx=`

A

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

B

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

C

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

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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