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int(dx)/(1-2sinx)=...

`int(dx)/(1-2sinx)=`

A

`(1)/(2sqrt(3))log|(tan((x)/(2))-2+sqrt(3))/(tan((x)/(2))-2-sqrt(3))|+c`

B

`(1)/(2sqrt(3))log|(tan((x)/(2))-2-sqrt(3))/(tan((x)/(2))-2+sqrt(3))|+c`

C

`(1)/(sqrt(3))log|(tan((x)/(2))-2-sqrt(3))/(tan((x)/(2))-2+sqrt(3))|+c`

D

`(1)/(sqrt(3))log|(tan((x)/(2))-2+sqrt(3))/(tan((x)/(2))-2-sqrt(3))|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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