\[\int{\frac{(\sin \theta +\cos \theta )}{\sqrt{\sin 2\theta }}}d\theta =\] [Kerala (Engg.) 2005]

\[{{\sin }^{-1}}(\sin \theta +\cos \theta )+c\]

\[\log \left| \cos \theta -\sin \theta +\sqrt{\sin 2\theta } \right|\]

\[\log \left| \sin \theta -\cos \theta )+\sqrt{\sin 2\theta } \right|\]

\[{{\sin }^{-1}}(\sin \theta -\cos \theta )+c\]

\[{{\sin }^{-1}}(\cos \theta -\sin \theta )+c\]

\[\int{\frac{(\sin \theta +\cos \theta )}{\sqrt{\sin 2\theta }}}d\thet

1.	\[\int{\frac{(\sin \theta +\cos \theta )}{\sqrt{\sin 2\theta }}}d\theta =\] [Kerala (Engg.) 2005]
A.	\[\log \left\| \cos \theta -\sin \theta +\sqrt{\sin 2\theta } \right\|\]
B.	\[\log \left\| \sin \theta -\cos \theta )+\sqrt{\sin 2\theta } \right\|\]
C.	\[{{\sin }^{-1}}(\sin \theta -\cos \theta )+c\]
D.	\[{{\sin }^{-1}}(\sin \theta +\cos \theta )+c\]
E.	\[{{\sin }^{-1}}(\cos \theta -\sin \theta )+c\]
Answer» D. \[{{\sin }^{-1}}(\sin \theta +\cos \theta )+c\]

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\[\int{\frac{(\sin \theta +\cos \theta )}{\sqrt{\sin 2\theta }}}d\theta =\] [Kerala (Engg.) 2005]

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