The value of \[\int_{\pi /4}^{3\pi /4}{\frac{\varphi }{1+\sin \varphi }\,d\varphi ,}\] is [AI CBSE 1990; IIT 1993]

The value of \[\int_{\pi /4}^{3\pi /4}{\frac{\varphi }{1+\sin \varphi

1.	The value of \[\int_{\pi /4}^{3\pi /4}{\frac{\varphi }{1+\sin \varphi }\,d\varphi ,}\] is [AI CBSE 1990; IIT 1993]
A.	\[\pi \tan \frac{\pi }{8}\]
B.	\[\log \tan \frac{\pi }{8}\]
C.	\[\tan \frac{\pi }{8}\]
D.	None of these
Answer» B. \[\log \tan \frac{\pi }{8}\]

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The value of \[\int_{\pi /4}^{3\pi /4}{\frac{\varphi }{1+\sin \varphi }\,d\varphi ,}\] is [AI CBSE 1990; IIT 1993]

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