JEE Main 2020MathematicsDefinite IntegrationMediumMCQ

JEE Main 2020 — Definite Integration Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

limx→0∫0xtsin10tdtx, is equal to

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Show full solutionCorrect option: A
Correct answer
A0

Step-by-step explanation

We have, I=limx→0∫0xtsin10tdtx

The given limiting form is the indeterminate form 00.

Thus, using Newton-Leibnitz Rule (differentiation under integral sign) and L' Hospital Rule, we get, 

I=limx→0ddx∫0xtsin10tdtddxx

I=limx→0xsin10x1

=0.

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About this question

This is a previous-year question from JEE Main 2020, 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.