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int(dx)/(4sin^(2)x+3cos^(2)x) is equal t...

`int(dx)/(4sin^(2)x+3cos^(2)x)` is equal to a)`(sqrt(3))/(4)tan^(-1)""((2tanx)/(sqrt(3)))+C` b)`(1)/(2sqrt(3))tan^(-1)""((tanx)/(sqrt(3)))+C` c)`(2)/(sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C` d)`(1)/(2sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C`

A

`(sqrt(3))/(4)tan^(-1)""((2tanx)/(sqrt(3)))+C`

B

`(1)/(2sqrt(3))tan^(-1)""((tanx)/(sqrt(3)))+C`

C

`(2)/(sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C`

D

`(1)/(2sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C`

Text Solution

Verified by Experts

The correct Answer is:
D
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