JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 26th February Evening Shift
Question
Let be a differentiable function for all xR. Then f(x) equals :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
.... (1)
Differentiating both sides w.r.t. x
(Using Newton L:eibnitz Theorem)
Integrating w.r.t. x
Put x = 0
ln 2 = 1 + c ( f(0) = 1, from equation (1))
Differentiating both sides w.r.t. x
(Using Newton L:eibnitz Theorem)
Integrating w.r.t. x
Put x = 0
ln 2 = 1 + c ( f(0) = 1, from equation (1))
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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.