JEE Main 2019 — Definite Integration Question with Solution
From: JEE Main 2019 (Online) 12th January Morning Slot
Question
Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then f(x) g(x) dx is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D2f(x)dx
Step-by-step explanation
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.