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Saturday, 31 October

JEE Main · Maths · Integrals

Weierstrass Substitution

JEE Main asked Weierstrass Substitution 2 times in 2 of the 108 shifts Lumi analysed, in 2017 and 2022. It belongs to Integration by Substitution, in Integrals (Maths). The longest wait between two years asking it was 5 years, across 2018 and 2019, which Lumi has no shifts for.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2017
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.510.86’170’200’210.04’220’230’240’250’26

Raw count: 2017: 1 in 1 shift · 2020: 0 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
  • 20200 of 12
  • 20171 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.

  • Definite integral of rational trig function
  • Definite integral using half-angle substitution

Difficulty

Easy 1Medium 0Hard 1

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. 29 Jul 2022, Shift 1 · Q6The integral ∫0π/213+2sin⁡x+cos⁡x dx\int_0^{\pi/2} \frac{1}{3 + 2\sin x + \cos x}\, dx is equal to :HardSingle correct
  2. 2 Apr 2017 (offline) · Q75The integral ∫π/43π/4dx1+cos⁡x\int_{\pi/4}^{3\pi/4}\frac{dx}{1+\cos x} is equal to :EasySingle correct

Shifts: 2 Apr 2017 (offline), 29 Jul 2022, 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