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JEE Math Practice Question

If $$\int {{{2x + 5} \over {\sqrt {7 - 6x - {x^2}} }}} \,\,dx = A\sqrt {7 - 6x - {x^2}} + B{\sin ^{ - 1}}\left( {{{x + 3} \over 4}} \right) + C$$ (where C is a constant of integration), then the ordered pair (A, B) is equal to :

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

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