JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 16th March Morning Shift
Question
Let f : R R be a continuous function such that f(x) + f(x + 1) = 2, for all xR.
If and , then the value of I1 + 2I2 is equal to ____________.
If and , then the value of I1 + 2I2 is equal to ____________.
Enter your answer
Show full solutionCorrect answer: 16
Correct answer
16
Step-by-step explanation
.... (i)
.... (ii)
by (i) & (ii)
f(x) is periodic with T = 2
.... (ii)
by (i) & (ii)
f(x) is periodic with T = 2
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.