\[\int_{0}^{\pi /2}{\frac{\cos x}{1+\cos x+\sin x}}\,dx=\] [Roorkee 1989]

\[\frac{\pi }{4}+\frac{1}{2}\log 2\]

\[\frac{\pi }{4}-\frac{1}{2}\log 2\]

\[\int_{0}^{\pi /2}{\frac{\cos x}{1+\cos x+\sin x}}\,dx=\] [Roorkee 19

1.	\[\int_{0}^{\pi /2}{\frac{\cos x}{1+\cos x+\sin x}}\,dx=\] [Roorkee 1989]
A.	\[\frac{\pi }{4}+\frac{1}{2}\log 2\]
B.	\[\frac{\pi }{4}+\log 2\]
C.	\[\frac{\pi }{4}-\frac{1}{2}\log 2\]
D.	\[\frac{\pi }{4}-\log 2\]
Answer» D. \[\frac{\pi }{4}-\log 2\]