int(2sinx)/(3+sin2x)dx is equal to...

`int(2sinx)/(3+sin2x)dx` is equal to

A

`ln|(2+sinx-cosx)/(2-sinx+cosx)|-tan^(-1)(sinx+cosx)+C`

B

`ln(sinx)+sin2x+C`

C

`sin(2x)-ln(cosx)+C`

D

`(1)/(4)ln|(2+sinx-cosx)/(2-sinx+cosx)|-(1)/(sqrt2)tan^(-1)((sinx+cosx)/(sqrt2))+C`

Verified by Experts

The correct Answer is:

D

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