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Mathematics - Definite Integration

Practise 26 NEST (NISER) previous year questions on Definite Integration, compiled from papers spanning 2011 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty NEST (NISER) tests.

Definite Integration has been asked in 15 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 26 questions in all. 4% of them were easy, 77% moderate and 19% tough. Most of its questions came from 2024, with 6 questions that year. In the last three years (2024–2026) it had 11 questions across 4 papers, about 2.8 per paper.

The chapter's 6 topics are not weighted equally: Properties of Definite Integration (15 questions, 58%), Definite Integration by Substitution (4 questions, 15%), and Definite Integration by Parts (3 questions, 12%) have been asked the most. Properties of Definite Integration has also led over the last five years, with 7 questions. Properties of Definite Integration has produced the most tough questions (3).

  1. 1equals2026Properties of Definite Integration
  2. 2Preview not available - open to view this question.2026Definite as Limit of Sum
  3. 3The value of the integral is2025Definite Integration by Substitution
  4. 4The value of is2025Definite Integration by Parts
  5. 5The limit2025Definite Integration
  6. 6Let be a differentiable, strictly increasing function such that . Let for all in . Then2024 (Session 1)Properties of Definite Integration
  7. 7Let and be continuous functions on such that and . Then is2024 (Session 1)Properties of Definite Integration
  8. 8Let Then2024 (Session 1)Definite Integration by Substitution
  9. 9Let be the function satisfying and . Let be the function that satisfies Then is equal to2024 (Session 1)Properties of Definite Integration
  10. 10An example of a correct inequality is2024 (Session 2)Properties of Definite Integration
  11. 11Let be a continuous function. For , let be the region bounded by the curve , the line , the line and the line . Suppose the area of is for .2024 (Session 2)Leibnitz Rule of Differentiation
  12. 12For let . Then2023 (Session 2)Properties of Definite Integration
  13. 13The value of is2022 (Session 2)Properties of Definite Integration
  14. 14Suppose is a differentiable function on , such that the derivative of is continuous on . Let and . Then is2021 (Session 1)Definite Integration by Substitution
  15. 15The set of real numbers for which the inequality is valid, lie in the interval2021 (Session 2)Properties of Definite Integration
  16. 16Let where is a positive integer. Then2021 (Session 2)Properties of Definite Integration
  17. 17The value of is2019 (Session 2)Properties of Definite Integration
  18. 18is2018Properties of Definite Integration
  19. 19The value of the integral is2017Definite Integration by Parts
  20. 20Suppose satisfies for all . Then is2016Properties of Definite Integration
  21. 21Let be the set of all real numbers and be defined as . The number of times the graph of cuts the -axis between the lines and is2015Properties of Definite Integration
  22. 22Let Then2014Properties of Definite Integration
  23. 23If , where is any real number, then2013Definite Integration by Substitution
  24. 24Let . Then,2013Leibnitz Rule of Differentiation
  25. 25If then2012Definite Integration by Parts
  26. 26The value of the integral lies in the interval2011Properties of Definite Integration

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 26 questions compiled from NEST (NISER) papers spanning 2011 to 2026.

2.Are these questions only from NEST (NISER), or from other exams too?

These are NEST (NISER) questions specifically for the Definite Integration chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Definite Integration an important chapter for NEST (NISER) Mathematics?

Definite Integration has appeared in 15 of the 16 years of NEST (NISER) papers covered here, with 26 questions across 17 papers - about 2 per paper it appears in.

4.What is the difficulty level of Definite Integration questions in NEST (NISER)?

Of the 26 questions analysed for this chapter, 4% are easy, 77% moderate and 19% tough. 2024 had the most, with 6 questions.

5.Which topics in Definite Integration should I focus on?

These topics have carried the most weightage in Definite Integration:

  • Properties of Definite Integration - 15 questions (58%)
  • Definite Integration by Substitution - 4 questions (15%)
  • Definite Integration by Parts - 3 questions (12%)
  • Properties of Definite Integration has produced the most tough questions (3).
6.Is Definite Integration's weightage in NEST (NISER) going up or down?

Across all 17 papers analysed, Definite Integration has averaged about 1.5 questions per paper. In the last three years (2024–2026), that average has risen, at about 2.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.