JEE Main 2012MathematicsDefinite IntegrationHardMCQ

JEE Main 2012Definite Integration Question with Solution

JEE Main 2012 (26 May Online)

Question

If is the greatest integer , then the value of the integral is

Choose an option

Show full solutionCorrect option: D
Correct answer
D0

Step-by-step explanation

So, it is an odd function, hence Required integral .

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Definite Integration chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2012, 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.