\[\int_{{}}^{{}}{\frac{1}{\sqrt{1+\sin x}}dx}=\] [RPET 1996]

1.	\[\int_{{}}^{{}}{\frac{1}{\sqrt{1+\sin x}}dx}=\] [RPET 1996]
A.	\[2\sqrt{2}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\]
B.	\[\frac{1}{\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\]
C.	\[\sqrt{2}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\]
D.	\[\frac{1}{2\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\]
Answer» D. \[\frac{1}{2\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\]

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\[\int_{{}}^{{}}{\frac{1}{\sqrt{1+\sin x}}dx}=\] [RPET 1996]

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