JEE Main Integration by Substitution PYQ PDF (2005-2026)

JEE Main Integration by Substitution PYQ PDF is a free, 14-page resource containing 67 questions from the 2005-2026 papers. The topic recorded 7 questions across the 2026 papers, with a reported weightage of 1.47% in the referenced database.

The PDF includes 55 MCQs alongside 12 numerical-value questions. Questions are arranged from newest to oldest to help students practise recent exam patterns and revise key concepts.

The PDF Contains:

67 Questions

14 Page

1.47%
↑54.74% Weightage in 2026

2005-2026 years covered

Integration by Substitution is a topic in the Class 12 Mathematics chapter Integral Calculus. Every question carries its exam date and shift. The PDF holds questions only, with options as printed and no answer key.

JEE Main Integration by Substitution Weightage by Year

As per JEE Main integration by substitution weightage from past years, students can expect 1 to 7 questions from this topic in a year in recent papers. The 2026 papers had 7.

Year	Questions	Average per Shift	Weightage in Mathematics	Change in Weightage
2026	7	0.37	1.47%	+54.74%
2025	5	0.24	0.95%	+14.29%
2024	6	0.25	0.83%	+16.67%
2023	6	0.21	0.71%	+542.86%
2022	1	0.03	0.11%	−86.67%

The 2021 papers add 8 more questions, and the years before that add 34. Weightage is the topic's share of all Mathematics questions in the bank for that year.

Question Formats in JEE Main Integration by Substitution PYQs

The 67 questions in this PDF are split between multiple-choice and numerical-value questions.

Question Type	Questions	Share
MCQ	55	82.1%
Numerical value	12	17.9%
Total	67	100%

How to Practise Integration by Substitution

Practise spotting the substitution: a function together with its derivative, powers of trigonometric functions, and expressions in eˣ. For definite integrals, change the limits along with the variable.

Then work the harder questions that need two substitutions in a row.