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JEE Math Practice Question

If $$\int {{{\cos x - \sin x} \over {\sqrt {8 - \sin 2x} }}} dx = a{\sin ^{ - 1}}\left( {{{\sin x + \cos x} \over b}} \right) + c$$, where c is a constant of integration, then the ordered pair (a, b) is equal to :

  1. A.(-1, 3)
  2. B.(1, 3)
  3. C.(1, -3)
  4. D.(3, 1)

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