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If int (1)/(4 + 5 sin x) " dx "= (1)/(3)...

If `int (1)/(4 + 5 sin x) " dx "= (1)/(3)` log |f (x)| + c then f(x) =

A

`(2 tan ""(x)/(2) -1)/(tan""(x)/(2) +2)`

B

`(2 + tan""(x)/(2))/(2 - tan""(x)/(2)) `

C

`(2 tan"" (x)/(2) + 1)/(2 ( tan""(x)/(2)+ 2)) `

D

`(tan""(x)/(2) - 1)/(2 tan""(x)/(2) + 3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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