JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 3 August 2021, Shift 1, Maths Q69

Question 69 of 90 in this shift, Maths question 9 of 30, Section A.

\int \frac{4x + 13}{\sqrt{x^2 + 5x + 6}}\,dx = A\sqrt{x^2 + 5x + 6} + B\log_e \left|\left(x + \frac{5}{2}\right) + \sqrt{x^2 + 5x + 6}\right| + C

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

(1) $(3, 4)$
(2) $\left(4, \frac{3}{2}\right)$
(3) $(2, 3)$
(4) $(4, 3)$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Integrals
Topic: Integration by Substitution
Idea tested: General Linear Outside, Quadratic Inside Root Substitution

Same topic in other shifts

All Integration by Substitution questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.