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JEE Math Practice Question

If $$\int {{{\sin x} \over {\sin \left( {x - \alpha } \right)}}dx = Ax + B\log \sin \left( {x - \alpha } \right), + C,} $$ then value of $$(A, B)$$ is

  1. A.$$\left( { - \cos \alpha ,\sin \alpha } \right)$$
  2. B.$$\left( { \cos \alpha ,\sin \alpha } \right)$$
  3. C.$$\left( { - \sin \alpha ,\cos \alpha } \right)$$
  4. D.$$\left( { \sin \alpha ,\cos \alpha } \right)$$

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