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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 :
(2,  1)
($-$ 2,   $-$1)
($-$ 2,  1)
(2,   $-$1)

Solution

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