JEE Main 2026 — Definite Integration Question with Solution
JEE Main 2026 (02 April Shift 1)
Question
Let denote the greatest integer function. Then the value of is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
The given integral can be split at integer values of because of the greatest integer function .
Since , , and , we get:
Integrating the terms:
Answer:
Since , , and , we get:
Integrating the terms:
Answer:
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This is a previous-year question from JEE Main 2026, 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.