JEE Main 2021 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 26 February 2021, Shift 1, Maths Q88

Question 88 of 90 in this shift, Maths question 28 of 30, Section B.

The value of the integral

\int_0^{\pi}|\sin 2x|\,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
25 Feb 2021, Shift 2 · Q86The value of $\int_{-2}^{2} |3x^2 - 3x - 6|\,dx$ is ________.MediumNumerical 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.