question_answer

\[\int{\frac{dx}{\sin x+\cos x}=}\]

A)  \[\log \,\,\tan \left( \frac{\pi }{8}+\frac{x}{2} \right)+c\]

B)  \[\log \,\,\tan \left( \frac{\pi }{8}-\frac{x}{2} \right)+c\]

C)  \[\frac{1}{\sqrt{2}}\log \,\,\tan \left( \frac{\pi }{8}+\frac{x}{2} \right)+c\]

D)  \[\frac{1}{2}\log \,\,\tan \left( \frac{\pi }{4}+\frac{x}{2} \right)+c\]

E)  None of these