Integrate : $\begin{align*} \int \frac{dx}{3+2 \sin x + \cos x} \end{align*}$

Question

$(A)\; 1 + \tan^{-1} \;x/2 +C$
$(B) \; \tan^{-1} (1+ \tan^{-1} (x/2)) +C$
$(C) \; \tan^{-1} (1- \tan^{-1} (x/2)) +C$
$(D)\; 1 - \tan^{-1} \;x/2 +C$