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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫2x+57−6x−x2dx=A7−6x−x2+Bsin⁡−1(x+34)+C\int \frac{2 x+5}{\sqrt{7-6 x-x^2}} d x=A \sqrt{7-6 x-x^2}+B \sin ^{-1}\left(\frac{x+3}{4}\right)+C (where CC is a constant of integration), then the ordered pair (A,B)(A, B) is equal to
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Correct option: A
(−2,−1)(-2,-1)
Option A ((-2,-1)) is correct because it is the result of integrating the given function and comparing the coefficients with the given form.

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