JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 31 January 2024, Shift 1, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

Let

S=(-1,\infty)

and

f:S\to\mathbb{R}

be defined as

f(x)=\int_{-1}^{x}(e^t-1)^{11}(2t-1)^5(t-2)^7(t-3)^{12}(2t-10)^{61}\,dt

, Let p = Sum of squares of the values of

x

, where

f(x)

attains local maxima on

S

, and q = Sum of the values of x, where

f(x)

attains local minima on

S

. Then , the value of

\mathrm{p}^2+2\mathrm{q}

is ______

Official answer

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Extrema of Integral Functions (Leibniz Rule)

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