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Saturday, 31 October

JEE Main · Maths · Binomial Theorem

Integration Method for Sums

JEE Main asked Integration Method for Sums 3 times in 3 of the 108 shifts Lumi analysed, in 2023, 2024 and 2026. It belongs to Binomial Coefficients, in Binomial Theorem (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2023
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2023, 2024 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200’210’220.07’230.05’240’250.11’26

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

Shift by shift

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

  • 20261 of 9
  • 20250 of 8
  • 20241 of 18
  • 20231 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

Single correct is the usual form. Skill tested: calculation.

  • Binomial sum via integration method
  • Sum of binomial coefficients over r+1

Difficulty

Easy 0Medium 2Hard 1

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

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

  1. 8 Apr 2026, Shift 2 · Q8If…HardSingle correct
  2. 29 Jan 2024, Shift 1 · Q23If 11C12+11C23+…+11C910=nm\frac{{}^{11}C_1}{2}+\frac{{}^{11}C_2}{3}+\ldots+\frac{{}^{11}C_9}{10}=\frac{n}{m} with gcd⁡(n,m)=1\gcd(n,m)=1, then n+mn+m is equal to ______.MediumNumerical value
  3. 12 Apr 2023, Shift 1 · Q6If…MediumSingle correct

Shifts: 12 Apr 2023, Shift 1, 29 Jan 2024, Shift 1, 8 Apr 2026, Shift 2.

Same topic

Other ideas in Binomial Coefficients

Binomial Coefficients has 28 ideas JEE Main has asked; 15 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas