JEE Main 2023MathematicsDefinite IntegrationNewton Lebnitz Rule Of DifferentiationmediumNumerical

JEE Main 2023Definite Integration Question with Solution

From: JEE Main 2023 (Online) 24th January Evening Shift

Question

Let be differentiable function defined on such that and . Then is equal to __________.

Enter your answer

Show full solutionCorrect answer: 27
Correct answer
27

Step-by-step explanation



So,

Now differentiate w.r. to



Let





Now So,



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About this question

This is a previous-year question from JEE Main 2023, 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.