1.

If \[\int \frac{\sin x}{\sin (x-\alpha )}dx=Ax+B\,\,\log \sin (x-\alpha )+c,\] then the value of (A, B) is

A. \[(sin\alpha ,\,cos\alpha )\]          
B. \[(cos\alpha ,\,\sin \alpha )\]
C. \[(-\sin \alpha ,\,\cos \alpha )\]
D. \[(-\cos \alpha ,\,\sin \alpha )\]
Answer» C. \[(-\sin \alpha ,\,\cos \alpha )\]


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