JEE Main 2020 — Definite Integration Question with Solution
From: JEE Main 2020 (Online) 6th September Morning Slot
Question
If I1 = and
I2 = such
that I2 = I1 then equals to :
I2 = such
that I2 = I1 then equals to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
I2 =
I2 =
I2 =
I2 = I1 -
Now apply IBP
I2 = I1 -
Let (1 – x50) = t
-50x49dx = dt
I2 = I1 -
-
= I1 - 0 -
I2 = I1 -
I2 + = I1
= I1
I2 = I1
Given I2 = I1
=
I2 =
I2 =
I2 = I1 -
Now apply IBP
I2 = I1 -
Let (1 – x50) = t
-50x49dx = dt
I2 = I1 -
-
= I1 - 0 -
I2 = I1 -
I2 + = I1
= I1
I2 = I1
Given I2 = I1
=
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This is a previous-year question from JEE Main 2020, 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.