JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 11 April 2023, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

For

m, n > 0

, let

\alpha(m, n) = \int_0^2 t^m(1+3t)^n\,dt

. If

11\,\alpha(10, 6) + 18\,\alpha(11, 5) = p\,(14)^6

, then

p

is equal to ______________.

Official answer

NTA final key.

Chapter: Integrals
Topic: Integration by Parts
Idea tested: Algebraic Reduction Formulas

Same topic in other shifts

All Integration by Parts questions

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2 Apr 2017 (offline) · Q74Let $I_n=\int\tan^n x\,dx,\ (n>1)$ . If $I_4+I_6=a\tan^5x+bx^5+C$ , where C is a constant of integration, then the ordered pair (a, b) is…MediumSingle correct

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 42 of the 174 JEE Main shifts held from 2017 to 2026.