JEE Main 2022 — Definite Integration Question with Solution
From: JEE Main 2022 (Online) 27th July Evening Shift
Question
Let f be a differentiable function satisfying and . If passes through the point , then is equal to _____________.
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Show full solutionCorrect answer: 12
Correct answer
12
Step-by-step explanation
On differentiating both sides w.r.t., x, we get
On integrating we get :
then
(, 6) lies on
.
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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.