JEE Main 2022MathematicsDefinite IntegrationProperties Of Definite IntegrationmediumMCQ

JEE Main 2022Definite Integration Question with Solution

From: JEE Main 2022 (Online) 25th July Evening Shift

Question

Let denote the greatest integer less than or equal to . Then the value of the integral is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

is periodic with period 2 and is periodic with period 1.

So,

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About this question

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.