JEE Main 2016 — Definite Integration Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
The value of the integral
where [x] denotes the greatest integer less than or equal to x, is :
where [x] denotes the greatest integer less than or equal to x, is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B3
Step-by-step explanation
Let I =
=
Using,
=
I =
Adding (1) and (2)
2I =
2I = = 6
= I = 3
=
Using,
=
I =
Adding (1) and (2)
2I =
2I = = 6
= I = 3
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This is a previous-year question from JEE Main 2016, 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.