JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 August 2021, Shift 2, Maths Q85

Question 85 of 90 in this shift, Maths question 25 of 30, Section B.

Let a and b respectively be the points of local maximum and local minimum of the function

f(x)=2x^3-3x^2-12x

. If A is the total area of the region bounded by

y=f(x)

, the

x

-axis and the lines

x=\mathrm{a}

and

x=\mathrm{b}

, then

4\,\mathrm{A}

is equal to __________.

Official answer

114

NTA final key.

Chapter: Application of Integrals
Topic: Area Under Curves
Idea tested: Area with X-Axis

Same topic in other shifts

All Area Under Curves 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.