JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 25 February 2021, Shift 2, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

The value of

\int_{-2}^{2} |3x^2 - 3x - 6|\,dx

is ________.

Official answer

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Modulus Function Interval Splitting

Same idea in other shifts

Asked 6× in all

8 Apr 2025, Shift 2 · Q19The integral $\int_{-1}^{\frac{3}{2}} \left(\left|\pi^2 x \sin(\pi x)\right|\right) dx$ is equal to :MediumSingle correct
26 Aug 2021, Shift 1 · Q69The value of $\int_{-1/\sqrt{2}}^{1/\sqrt{2}} \left(\left(\frac{x+1}{x-1}\right)^2 + \left(\frac{x-1}{x+1}\right)^2 - 2\right)^{1/2} dx$ …HardSingle correct
26 Feb 2021, Shift 1 · Q88The value of the integral $\int_0^{\pi}|\sin 2x|\,dx$ is _________.EasyNumerical value
2 Sep 2020, Shift 1 · Q73The integral $\int_{0}^{2}\left||x-1|-x\right|dx$ is equal to ___________.EasyNumerical value
3 Sep 2020, Shift 1 · Q60 $\int_{-\pi}^{\pi}|\pi-|x||dx$ is equal to :EasySingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.