Mathematics - Indefinite Integration
Practise 5 JEE Advanced previous year questions on Indefinite Integration, compiled from papers spanning 2006 to 2012. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.
Indefinite Integration has been asked in 4 of the 27 years of JEE Advanced papers analysed (2000–2026), with 5 questions in all. 40% of them were easy, 20% moderate and 40% tough. Most of its questions came from 2007, with 2 questions that year. In the last three years (2024–2026) it had 0 questions across 6 papers, about 0 per paper.
The chapter's 2 topics are not weighted equally: Integration by Substitution (3 questions, 60%) and Miscellaneous Forms (2 questions, 40%) have been asked the most. Integration by Substitution has produced the most tough questions (1).
- 1The integral equals (for some arbitrary constant )2012 (Paper 1)Integration by Substitution
- 2Let . Then, for an arbitrary constant , the value of equals2008 (Paper 2)Miscellaneous Forms
- 3Let be an indefinite integral of . Statement I The function satisfies for all real . Statement II for all real .2007 (Paper 1)Integration by Substitution
- 4Let for and . Then, equals2007 (Paper 2)Miscellaneous Forms
- 5The value of is2006Integration by Substitution
Frequently Asked Questions
1.How many questions are available for Indefinite Integration?
This chapter includes 5 questions compiled from JEE Advanced papers spanning 2006 to 2012.
2.Are these questions only from JEE Advanced, or from other exams too?
These are JEE Advanced questions specifically for the Indefinite Integration chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Indefinite Integration an important chapter for JEE Advanced Mathematics?
Indefinite Integration has appeared in 4 of the 21 years of JEE Advanced papers covered here, with 5 questions across 5 papers - about one per paper it appears in.
4.What is the difficulty level of Indefinite Integration questions in JEE Advanced?
Of the 5 questions analysed for this chapter, 40% are easy, 20% moderate and 40% tough. 2007 had the most, with 2 questions.
5.Which topics in Indefinite Integration should I focus on?
These topics have carried the most weightage in Indefinite Integration:
- Integration by Substitution - 3 questions (60%)
- Miscellaneous Forms - 2 questions (40%)
- Integration by Substitution has produced the most tough questions (1).
6.Is Indefinite Integration's weightage in JEE Advanced going up or down?
Across all 5 papers analysed, Indefinite Integration has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.