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Evaluate: int1/(1+3sin^2x+8cos^2x)\ dx...

Evaluate: `int1/(1+3sin^2x+8cos^2x)\ dx`

A

`(1)/(2)tan^(-1)((2tanx)/(3))+c`

B

`(1)/(3)tan^(-1)((2tanx)/(3))+c`

C

`(1)/(6)tan^(-1)((2tanx)/(3))+c`

D

`(1)/(12)tan^(-1)((2tanx)/(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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