The value of \int\frac{\sin x+\cos x}{3+\sin 2 x} d x is

Correct Answer is : 14log(2−sinx+cosx2+sinx−cosx)+C

\frac{1}{4} \log (\frac{2-\sin x+\cos x}{2+\sin x-\cos x} )+C

\frac{1}{2} \log ( \frac{2+\sin x}{2-\sin x} )+C