JEE Main 2022MathematicsDefinite IntegrationNewton Lebnitz Rule Of DifferentiationmediumNumerical

JEE Main 2022Definite Integration Question with Solution

From: JEE Main 2022 (Online) 25th July Evening Shift

Question

Let be a twice differentiable function on . If and , then is equal to _______________.

Enter your answer

Show full solutionCorrect answer: 8
Correct answer
8

Step-by-step explanation



Here

On differentiating equation (i) w.r.t. we get :

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.