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Saturday, 31 October

JEE Main · Maths · Integrals

Bounding and Estimation Property

JEE Main asked Bounding and Estimation Property 4 times in 4 of the 108 shifts Lumi analysed, in 2020, 2021 and 2022. It belongs to Definite Integral Properties, in Integrals (Maths). The longest wait between two years asking it was 1 year. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2020
last in 2022
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200.07’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 2 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
  • 20212 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: application.

  • Bound a definite integral
  • Bounds on definite integral from function bounds

Difficulty

Easy 0Medium 3Hard 1

Every question was multiple choice.

Every question

All 4 questions

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

  1. 27 Jul 2022, Shift 1 · Q8Let I=∫π/4π/3(8sin⁡x−sin⁡2xx)dxI = \int_{\pi/4}^{\pi/3} \left(\dfrac{8\sin x - \sin 2x}{x}\right) dx. ThenMediumSingle correct
  2. 18 Mar 2021, Shift 2 · Q71Let g(x)=∫0xf(t) dtg(x)=\int_0^x f(t)\,dt, where ff is continuous function in [0,3][0, 3] such that 13≤f(t)≤1\frac{1}{3}\le f(t)\le 1 for all t∈[0,1]t\in[0, 1] and…MediumSingle correct
  3. 17 Mar 2021, Shift 2 · Q75Let f:R→Rf:\mathbf{R}\to\mathbf{R} be defined as f(x)=e−xsin⁡xf(x)=e^{-x}\sin x. If F:[0,1]→RF:[0, 1]\to\mathbf{R} is a differentiable function such that…MediumSingle correct
  4. 8 Jan 2020, Shift 2 · Q61If I=∫12dx2x3−9x2+12x+4I = \int_1^2 \frac{dx}{\sqrt{2x^3 - 9x^2 + 12x + 4}}, then :HardSingle correct

Shifts: 8 Jan 2020, Shift 2, 17 Mar 2021, Shift 2, 18 Mar 2021, Shift 2, 27 Jul 2022, Shift 1.

Same topic

Other ideas in Definite Integral Properties

Definite Integral Properties has 19 ideas JEE Main has asked; 13 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas