Mathematics · 2021
JEE Main · 3 August 2021, Shift 1 · Q69
If ∫ (4 x+13)/(√(x^2+5 x+6)) d x= A √(x^2+5 x+6)+ B log_e|(x+5/2)+√(x^2+5 x+6)|+ C (C is a constant of integration), then the ordered pair (A, B) is…
If $\displaystyle \int \frac{4 x+13}{\sqrt{x^2+5 x+6}} d x=\mathrm{A} \sqrt{x^2+5 x+6}+\mathrm{B} \log _e\left|\left(x+\frac{5}{2}\right)+\sqrt{x^2+5 x+6}\right|+\mathrm{C}$
(C is a constant of integration), then the ordered pair (A, B) is equal to
Official answer
(4)
$\displaystyle (4,3)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.