JEE Main 2021MathematicsDefinite IntegrationProperties Of Definite IntegrationmediumNumerical

JEE Main 2021Definite Integration Question with Solution

From: JEE Main 2021 (Online) 17th March Morning Shift

Question

If [ . ] represents the greatest integer function, then the value of

is ____________.

Enter your answer

Show full solutionCorrect answer: 1
Correct answer
1

Step-by-step explanation





=

When 0 x 1 then -1 -cosx 0

= -1

When 1 x = 1.24 then -0.33 -cosx 0

= -1 (Integer value present in the left side of -0.33)





= 1

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About this question

This is a previous-year question from JEE Main 2021, 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.