JEE Main 2021MathematicsDefinite IntegrationProperties Of Definite IntegrationmediumMCQ

JEE Main 2021Definite Integration Question with Solution

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

Question

If the integral

, where , , are integers and [x] denotes the greatest integer less than or equal to x, then the value of + + is equal to :

Choose an option

Show full solutionCorrect option: A
Correct answer
A0

Step-by-step explanation

Given integral

(using property of definite in.)



=



comparing with the given relation,

= 10, = 10, = 0

+ + = 0

Therefore, the correct answer is (A).

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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.