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Saturday, 31 October

JEE Main · Maths · Application of Derivatives

Extrema of Integral Functions

JEE Main asked Extrema of Integral Functions 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2022. It belongs to Maxima and Minima, in Application of Derivatives (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20221 of 24
  • 20210 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Nature of critical point of integral function
  • Count local extrema of integral function

Difficulty

Easy 0Medium 2Hard 0

Every question was multiple choice.

Every question

All 2 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 27 Jun 2022, Shift 2 · Q7If mm and nn respectively are the number of local maximum and local minimum points of the function…MediumSingle correct
  2. 9 Jan 2020, Shift 2 · Q61Let a function f:[0,5]→Rf:[0,5]\to\mathbf{R} be continuous, f(1)=3f(1)=3 and FF be defined as : F(x)=∫1xt2g(t) dtF(x)=\int_1^x t^2g(t)\,dt, where…MediumSingle correct

Shifts: 9 Jan 2020, Shift 2, 27 Jun 2022, Shift 2.

Same topic

Other ideas in Maxima and Minima

Maxima and Minima has 31 ideas JEE Main has asked; 14 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas