JEE Main 2020MathematicsDefinite IntegrationProperties Of Definite IntegrationmediumNumerical

JEE Main 2020Definite Integration Question with Solution

From: JEE Main 2020 (Online) 2nd September Evening Slot

Question

Let [t] denote the greatest integer less than or equal to t.
Then the value of is ______.

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Show full solutionCorrect answer: 1
Correct answer
1

Step-by-step explanation







We know, 0 and x > 1



So,



   [Period of {x} = 1, so period of {3x} = ]







= 1

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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.