JEE Main 2021MathematicsDefinite IntegrationNewton Lebnitz Rule Of DifferentiationmediumMCQ

JEE Main 2021Definite Integration Question with Solution

From: JEE Main 2021 (Online) 31st August Morning Shift

Question

Let f be a non-negative function in [0, 1] and twice differentiable in (0, 1). If , and f(0) = 0, then :

Choose an option

Show full solutionCorrect option: D
Correct answer
Dequals

Step-by-step explanation



differentiating both the sides











Now,

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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.