1.

\[\int_{{}}^{{}}{\frac{1}{\sqrt{1+\cos x}}\ dx=}\]

A.            \[\sqrt{2}\log \left( \sec \frac{x}{2}+\tan \frac{x}{2} \right)+K\]            
B.            \[\frac{1}{\sqrt{2}}\log \left( \sec \frac{x}{2}+\tan \frac{x}{2} \right)+K\]
C.            \[\log \left( \sec \frac{x}{2}+\tan \frac{x}{2} \right)+K\]           
D.            None of these
Answer» B.            \[\frac{1}{\sqrt{2}}\log \left( \sec \frac{x}{2}+\tan \frac{x}{2} \right)+K\]


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