JEE Main 2021MathematicsDefinite IntegrationMediumNumerical

JEE Main 2021 — Definite Integration Question with Solution

JEE Main 2021 (25 Feb Shift 2)

Question

The value of ∫-223x2-3x-6dx is

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Show full solutionCorrect answer: 19
Correct answer
19

Step-by-step explanation

∫-223x2-x-2dx

=3∫-22x2-x-2dx

=3∫-2-1x2-x-2dx+∫-12-x2-x-2dx

=3x33-x22-2x-2-1-x33-x22-2x-12

=37-23

=19

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About this question

This is a previous-year question from JEE Main 2021, covering the Definite Integration chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.