1.

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

A. \[\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]
B. \[\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]
C. \[\frac{1}{2}\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]
D. \[\frac{1}{2}\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]
Answer» D. \[\frac{1}{2}\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]


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