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Saturday, 31 October

JEE Main · Maths · Integrals

Algebraic Manipulation

JEE Main asked Algebraic Manipulation 2 times in 2 of the 108 shifts Lumi analysed, all in 2023. It belongs to Integration by Substitution, in Integrals (Maths). In 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2023
the only year
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200’210’220.14’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 2 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
  • 20232 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Definite integral of rational function of e^x
  • Indefinite integral by trigonometric substitution

Difficulty

Easy 0Medium 1Hard 1

1 of the 2 questions had a numerical answer.

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. 15 Apr 2023, Shift 1 · Q26Let f(x)=∫dx(3+4x2)4−3x2f(x)=\int\frac{dx}{\left(3+4x^2\right)\sqrt{4-3x^2}}, ∣x∣<23|x|<\frac{2}{\sqrt{3}}. If f(0)=0f(0)=0 and…HardNumerical value
  2. 13 Apr 2023, Shift 1 · Q11∫0∞6e3x+6e2x+11ex+6 dx=\int_0^{\infty}\frac{6}{e^{3x}+6e^{2x}+11e^x+6}\,dx=MediumSingle correct

Shifts: 13 Apr 2023, Shift 1, 15 Apr 2023, Shift 1.

Same topic

Other ideas in Integration by Substitution

Integration by Substitution has 27 ideas JEE Main has asked; 12 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas