JEE Main 2022MathematicsDefinite IntegrationProperties Of Definite IntegrationhardNumerical

JEE Main 2022Definite Integration Question with Solution

From: JEE Main 2022 (Online) 24th June Morning Shift

Question

Let and .

If then is equal to _____________.

Enter your answer

Show full solutionCorrect answer: 34
Correct answer
34

Step-by-step explanation

Let

So, and

Now,





Clearly and , so .

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Definite Integration chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2022, 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.