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int (1)/(2 + 3 cos x) dx =...

`int (1)/(2 + 3 cos x)` dx =

A

`(1)/(sqrt(5))log |(sqrt(5) + tan""(x)/(2))/(sqrt(5) -tan""(x)/(2)) |`+ c

B

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

C

`(1)/(sqrt(5)) log |(sqrt(3)+ tan""(x)/(2))/(sqrt(5) - tan""(x)/(2)) | + c`

D

`(2)/(sqrt(5)) log |(sqrt5)+ tan""(x)/(2))/(sqrt(5) - tan""(x)/(2)) | + c`

Text Solution

Verified by Experts

The correct Answer is:
A
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