JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 26 June 2022, Shift 2, Maths Q28

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

The integral

\frac{24}{\pi}\int_0^{\sqrt{2}} \frac{(2 - x^2)\,dx}{(2 + x^2)\sqrt{4 + x^4}}

is equal to ______.

Official answer

NTA final key.

Chapter: Integrals
Topic: Integration by Substitution
Idea tested: Factoring Highest Power for Substitution

Same idea in other shifts

Asked 3× in all

7 Apr 2025, Shift 2 · Q24If…HardNumerical value
8 Jan 2020, Shift 1 · Q60If $\int\dfrac{\cos x\,dx}{\sin^3 x\,(1+\sin^6 x)^{2/3}}=f(x)\,(1+\sin^6 x)^{1/\lambda}+c$ where c is a constant of integration, then…HardSingle 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.