\[\int_{{}}^{{}}{\frac{\sin x}{\sin x-\cos x}}\ dx=\] [Roorkee 1988]

\[\frac{1}{2}\log (\cos x-\sin x)+x+c\]

\[\frac{1}{2}\log (\sin x-\cos x)+x+c\]

\[\frac{1}{2}[\log (\sin x-\cos x)+x]+c\]

\[\frac{1}{2}[\log (\cos x-\sin x)+x]+c\]

\[\int_{{}}^{{}}{\frac{\sin x}{\sin x-\cos x}}\ dx=\]

1.	\[\int_{{}}^{{}}{\frac{\sin x}{\sin x-\cos x}}\ dx=\] [Roorkee 1988]
A.	\[\frac{1}{2}\log (\sin x-\cos x)+x+c\]
B.	\[\frac{1}{2}[\log (\sin x-\cos x)+x]+c\]
C.	\[\frac{1}{2}\log (\cos x-\sin x)+x+c\]
D.	\[\frac{1}{2}[\log (\cos x-\sin x)+x]+c\]
Answer» C. \[\frac{1}{2}\log (\cos x-\sin x)+x+c\]

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\[\int_{{}}^{{}}{\frac{\sin x}{\sin x-\cos x}}\ dx=\] [Roorkee 1988]

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