JEE Main 2020MathematicsIndefinite IntegrationMediumMCQ

JEE Main 2020 — Indefinite Integration Question with Solution

JEE Main 2020 (06 Sep Shift 1)

Question

If I1=∫011-x50100dx and I2=∫011-x50101dx such that I2=αI1 then α equals to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C50505051

Step-by-step explanation

Given 

α=I2I1=∫011-x50101dx∫011-x50100dx
Now,

I2=∫011-x501-x50100dx
I2=I1-∫01x.x491-x50100dx
I2=I1--x1-x50101505001-∫011-x501015050dx
I2=I1-I25050
⇒α=I2I1=50505051

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About this question

This is a previous-year question from JEE Main 2020, covering the Indefinite 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.