1.

\[\int_{{}}^{{}}{\frac{dx}{\sin x+\sqrt{3}\cos x}}=\]

A.            \[\log \tan \left( \frac{x}{2}+\frac{\pi }{2} \right)+c\]
B.            \[\frac{1}{2}\log \tan \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\]
C.            \[\log \cot \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\]
D.            \[\frac{1}{2}\log \cot \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\]
Answer» C.            \[\log \cot \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\]


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