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int(sinx)/(3+4cos^(2)x)dx = "……."...

`int(sinx)/(3+4cos^(2)x)dx = "……."`

A

(a) `log(3+4cos^(2)x)+c`

B

(b) `(-1)/(2sqrt(3))tan^(-1)(cosx/sqrt(3))+c`

C

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

D

(d) `1/(2sqrt(3))tan^(-1)((2cosx)/sqrt(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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