JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 18th March Morning Shift
Question
Let f(x) and g(x) be two functions satisfying f(x2) + g(4 x) = 4x3 and g(4 x) + g(x) = 0, then the value of is
Enter your answer
Show full solutionCorrect answer: 512
Correct answer
512
Step-by-step explanation
............(1)
..............(2)
Adding equation (1) & (2)
............(3)
Now using ............. (4)
..............(5)
Adding equation (4) & (5)
Now,
..............(2)
Adding equation (1) & (2)
............(3)
Now using ............. (4)
..............(5)
Adding equation (4) & (5)
Now,
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 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.