JEE Main 2023MathematicsDefinite IntegrationProperties Of Definite IntegrationmediumNumerical

JEE Main 2023Definite Integration Question with Solution

From: JEE Main 2023 (Online) 8th April Morning Shift

Question

Let denote the greatest integer . Then \frac{2}{\pi} \int_\limits{\pi / 6}^{5 \pi / 6}(8[\operatorname{cosec} x]-5[\cot x]) d x is equal to __________.

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Show full solutionCorrect answer: 14
Correct answer
14

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About this question

This is a previous-year question from JEE Main 2023, 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.