JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{1}{\sin (x-a) \sin (x-b)} d x=

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Correct option: A

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

Option A (

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

) is correct because by using the sine subtraction formula and simplifying, the integral evaluates to this expression.

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