question_answer

\[\int{\frac{dx}{\cos \,x+\sqrt{3}\sin \,x}}\] equals

A)  \[\frac{1}{2}\,\,\log \,\,\tan \,\,\left( \frac{x}{2}+\frac{\pi }{12} \right)+c\]

B)  \[\frac{1}{2}\,\,\log \,\,\tan \,\,\left( \frac{x}{2}-\frac{\pi }{12} \right)+c\]

C)  \[\log \,\,\tan \,\,\left( \frac{x}{2}+\frac{\pi }{12} \right)+c\]

D)  \[\log \,\,\tan \,\,\left( \frac{x}{2}-\frac{\pi }{12} \right)+c\]

E)  None of these