JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 27 June 2022, Shift 1, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

The value of the integral

\int_{-2}^{2} \frac{|x^3+x|}{(e^{x|x|}+1)}\,dx

is equal to :

(1) $5e^2$
(2) $3e^{-2}$
(3)4
(4)6Official answer

Official answer

Option 4

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Symmetric Limits with Exponential Denominator Trick

Same idea in other shifts

Asked 10× in all

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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.