JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 17th March Evening Shift
Question
Let , where nN. If (20)I10 = I9 + I8, for natural numbers and , then equals to ___________.
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Show full solutionCorrect answer: 1
Correct answer
1
Step-by-step explanation
Putting n = 10, we get
...... (1)
Putting n = 9, we get
....... (2)
Subtracting (2) from (1), we get
By comparing with (20)I10 = I9 + I8, we get
= 10, = 9 = 1
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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.