1.

\[\int_{{}}^{{}}{\frac{\cos x-\sin x}{\sqrt{\sin 2x}}\ dx}\] equals [RPET 1996]

A.            \[{{\cosh }^{-1}}(\sin x+\cos x)+c\]                                
B.            \[{{\sinh }^{-1}}(\sin x+\cos x)+c\]
C.            \[-{{\cosh }^{-1}}(\sin x+\cos x)+c\]
D.   \[-{{\sinh }^{-1}}(\sin x+\cos x)+c\]
Answer» B.            \[{{\sinh }^{-1}}(\sin x+\cos x)+c\]


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