JEE Main 2019 — Definite Integration Question with Solution
From: JEE Main 2019 (Online) 12th April Morning Slot
Question
Let f : R R be a continuously differentiable function such that f(2) = 6 and f'(2) = . If = (x - 2)g(x), then is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A18
Step-by-step explanation
Given
At x = 2 this limit is in form.
So we can use L'Hopital's rule. Use leibniz intgral rule to differentiate the integration.
At x = 2 this limit is in form.
So we can use L'Hopital's rule. Use leibniz intgral rule to differentiate the integration.
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This is a previous-year question from JEE Main 2019, 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.