JEE Main 2019 — Definite Integration Question with Solution
From: JEE Main 2019 (Online) 9th April Evening Slot
Question
The value of the integral is :-
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
I =
Let x2 = t
2xdx = dt
At x = 0, t = 0
At x = 1, t = 1
I =
=
=
=
=
=
=
[ As
=
= ]
=
=
Using integration by parts rule
=
=
=
Let x2 = t
2xdx = dt
At x = 0, t = 0
At x = 1, t = 1
I =
=
=
=
=
=
=
[ As
=
= ]
=
=
Using integration by parts rule
=
=
=
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Definite Integration chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2019, 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.