JEE Main 2020 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 2 September 2020, Shift 1, Maths Q73

Question 73 of 75 in this shift, Maths question 23 of 25.

The integral

\int_{0}^{2}\left||x-1|-x\right|dx

is equal to ___________.

Official answer

1.50

NTA final key (Sep 2020).

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

Same idea in other shifts

Asked 2× 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

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.