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Mathematics - Definite Integration

Practise 15 IAT (IISER) previous year questions on Definite Integration, compiled from papers spanning 2017 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 IAT (IISER) tests.

Definite Integration has been asked in 9 of the 9 years of IAT (IISER) papers analysed (2017–2026), with 15 questions in all. 7% of them were easy, 73% moderate and 20% tough. Most of its questions came from 2023, with 2 questions that year. In the last three years (2023–2026) it had 4 questions across 3 papers, about 1.3 per paper.

The chapter's 2 topics are not weighted equally: Properties of Definite Integration (14 questions, 93%) and Leibnitz Rule of Differentiation (1 question, 7%) 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. 1What is the value of ?2026Properties of Definite Integration
  2. 2What is the value of ?2025Properties of Definite Integration
  3. 3Let What is the value of ?2024Properties of Definite Integration
  4. 4Let be a continuous decreasing function. Suppose are in a geometric progression with common ratio . In which of the following intervals does2023Properties of Definite Integration
  5. 5Let be a differentiable function such that and Then in which of the following intervals does lie?2023Properties of Definite Integration
  6. 6Let be a continuous function on and be its antiderivative. If and , then is2022Properties of Definite Integration
  7. 7The value of the integral where is the greatest integer less than or equal to for any real number , is2022Properties of Definite Integration
  8. 8Let for . The value of is2021Properties of Definite Integration
  9. 9If then for how many real numbers does ?2020Leibnitz Rule of Differentiation
  10. 10If , then the value of is:2020Properties of Definite Integration
  11. 11Let be a continuous function. Consider the region For which one of the following functions , the area of the region is the largest?2019Properties of Definite Integration
  12. 12Let be a non-zero even function such that Then, the value of the integral is2019Properties of Definite Integration
  13. 13The integral \( _{- { }{2}}^{ { }{2}} ( {(1+ {|x|}) ^2(x)+ (x)}{1+ {|x|}} ) d x\) is equal to2018Properties of Definite Integration
  14. 14Let be a polynomial with real coefficients such that . Which of the following statements is always true?2017Properties of Definite Integration
  15. 15Consider the functions and The value of is2017Properties of Definite Integration

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 15 questions compiled from IAT (IISER) papers spanning 2017 to 2026.

2.Are these questions only from IAT (IISER), or from other exams too?

These are IAT (IISER) 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 IAT (IISER) Mathematics?

Definite Integration has appeared in 10 of the 10 years of IAT (IISER) papers covered here, with 15 questions across 10 papers - about 2 per paper it appears in.

4.What is the difficulty level of Definite Integration questions in IAT (IISER)?

Of the 15 questions analysed for this chapter, 7% are easy, 73% moderate and 20% tough. 2023 had the most, with 2 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 - 14 questions (93%)
  • Leibnitz Rule of Differentiation - 1 question (7%)
  • Properties of Definite Integration has produced the most tough questions (3).
6.Is Definite Integration's weightage in IAT (IISER) going up or down?

Across all 10 papers analysed, Definite Integration has averaged about 1.5 questions per paper. In the last three years (2023–2026), that average has stayed about the same, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.