JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 17th March Evening Shift
Question
Let f : R R be defined as f(x) = exsinx. If F : [0, 1] R is a differentiable function with that F(x) = , then the value of lies in the interval
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
F(x) =
F'(x) = f(x) by Leibnitz theorem
I =
F'(x) = f(x) by Leibnitz theorem
I =
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Definite Integration chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →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.