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If \int \frac{2x+5}{\sqrt{7-6x-x^{2}}}dx=A\sqrt{7-6x-x^{2}}+B\sin ^{-1}\left ( \frac{x+3}{4} \right )+C 

(where C is a constant of integration), then the ordered pair (A, B) is equal to :

  • Option 1)

    (2, 1)

  • Option 2)

    (−2, −1)

  • Option 3)

    (−2, 1)

  • Option 4)

    (2, −1)

 

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