\[\int{\frac{dx}{\sin (x-a)\sin (x-b)}}\] is [Kerala (Engg.) 2005]

\[\frac{-1}{\sin (a-b)}\log \left| \frac{\sin (x-a)}{\sin (x-b)} \right|+c\]

\[\frac{1}{\sin (a-b)}\log \left| \frac{\sin (x-a)}{\sin (x-b)} \right|+c\]

\[\log \sin (x-a)\sin (x-b)+c\]

\[\log \left| \frac{\sin (x-a)}{\sin (x-b)} \right|\]

\[\frac{1}{\sin (x-a)}\log \sin (x-a)\sin (x-b)+c\]

\[\int{\frac{dx}{\sin (x-a)\sin (x-b)}}\] is �

1.	\[\int{\frac{dx}{\sin (x-a)\sin (x-b)}}\] is [Kerala (Engg.) 2005]
A.	\[\frac{1}{\sin (a-b)}\log \left\| \frac{\sin (x-a)}{\sin (x-b)} \right\|+c\]
B.	\[\frac{-1}{\sin (a-b)}\log \left\| \frac{\sin (x-a)}{\sin (x-b)} \right\|+c\]
C.	\[\log \sin (x-a)\sin (x-b)+c\]
D.	\[\log \left\| \frac{\sin (x-a)}{\sin (x-b)} \right\|\]
E.	\[\frac{1}{\sin (x-a)}\log \sin (x-a)\sin (x-b)+c\]
Answer» B. \[\frac{-1}{\sin (a-b)}\log \left\| \frac{\sin (x-a)}{\sin (x-b)} \right\|+c\]

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\[\int{\frac{dx}{\sin (x-a)\sin (x-b)}}\] is [Kerala (Engg.) 2005]

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