JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{{\sin \,\,x}}{{\sin \,\,\left( {x - \alpha } \right)}}\,\,dx = Ax + B\,\,{\log _e}\,\,\sin \,\left( {x - \alpha } \right) + C

, then

View answer and explanation

Correct option: C

A = \cos \,\,\alpha ,\;\,B = \sin \,\,\alpha

Option C is correct because by expanding

\sin x

\sin((x-\alpha) + \alpha)

and integrating, we find

A = \cos \alpha

and

B = \sin \alpha

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