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Mathematics - Definite Integration

Practise 33 VITEEE previous year questions on Definite Integration, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Definite Integration has been asked in 17 of the 18 years of VITEEE papers analysed (2006–2024), with 33 questions in all. 33% of them were easy, 45% moderate and 21% tough. Most of its questions came from 2014, with 3 questions that year. In the last three years (2022–2024) it had 4 questions across 3 papers, about 1.3 per paper.

The chapter's 7 topics are not weighted equally: Properties of Definite Integration (8 questions, 24%), Definite Integration by Substitution (6 questions, 18%), and Miscellaneous (6 questions, 18%) have been asked the most. Over the last five years the most frequent topics have been Definite Integration by Substitution (3), Definite Integration by Parts (1), and Miscellaneous (1). Definite Integration by Parts has produced the most tough questions (2).

  1. 1equals to2024Definite Integration by Substitution
  2. 2If \(f(x)\) is a quadratic in \(x\), then \( _0^1 f(x) d x\) is equal to2023Miscellaneous
  3. 3If \(f^{ }(x)=f(x)+ _0^1 f(x) d x\) and given \(f(0)=1\). Then \(f(x)=\)2023Definite Integration by Parts
  4. 4The value of the integral \( _0^{ { }{2}} { } ^3 {d} \) is2022Definite Integration by Substitution
  5. 5is equal to :2021Definite Integration by Substitution
  6. 6Value of is2019Properties of Definite Integration
  7. 7The value of the integral is2019Properties of Definite Integration
  8. 8The value of (where [.] denotes greatest integer function) is2018Properties of Definite Integration
  9. 9The correct evaluation of is2018Walli's Formula
  10. 10Value of is2017Properties of Definite Integration
  11. 11is equal to : Given2017Definite Integration by Parts
  12. 12If , then is equal to2016Properties of Definite Integration
  13. 13is equal to2015Properties of Definite Integration
  14. 14is equal to2014Properties of Periodic Functions
  15. 15The value of , where is the greatest integer function, is2014Miscellaneous
  16. 16If , then the expression for in terms of is2014Definite Integration by Reduction Formula
  17. 17is equal to2013Miscellaneous
  18. 18If , for every real number , where , is the integral part of . Then, is equal to2013Properties of Periodic Functions
  19. 19The value of the integral is2013Properties of Definite Integration
  20. 20equals to2012Definite Integration by Substitution
  21. 21The value of integral is2012Definite Integration by Parts
  22. 22The value of is2012Properties of Definite Integration
  23. 23Evaluate2011Definite Integration by Substitution
  24. 24For what values of can the expression be expressed as the product of two linear factors?2010Properties of Periodic Functions
  25. 25If is a non-singular matrix and is a square matrix, then is equal to2010Miscellaneous
  26. 26If and are three polynomials of degree 2 and then is a polynomial of degree2010Definite Integration by Reduction Formula
  27. 27If , then equals2009Definite Integration by Substitution
  28. 28Let and are two fixed points in a plane then locus of another point on the same plane such that constant, is2008Properties of Periodic Functions
  29. 29The directrix of the parabola is2008Miscellaneous
  30. 30If is a polynomial satisfying for all real and and then is2008Definite Integration by Reduction Formula
  31. 31Find the number of ways in which five large books, four medium-size books, and three small books can be placed on a shelf so that all books 2006Properties of Periodic Functions
  32. 32Consider the set of rational numbers. Let be the operation on defined by . The identity element under is2006Miscellaneous
  33. 33The statement is equivalent to2006Definite Integration by Reduction Formula

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 33 questions compiled from VITEEE papers spanning 2006 to 2024.

2.Are these questions only from VITEEE, or from other exams too?

These are VITEEE 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 VITEEE Mathematics?

Definite Integration has appeared in 17 of the 18 years of VITEEE papers covered here, with 33 questions across 17 papers - about 2 per paper it appears in.

4.What is the difficulty level of Definite Integration questions in VITEEE?

Of the 33 questions analysed for this chapter, 33% are easy, 45% moderate and 21% tough. 2014 had the most, with 3 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 - 8 questions (24%)
  • Definite Integration by Substitution - 6 questions (18%)
  • Miscellaneous - 6 questions (18%)
  • Definite Integration by Parts has produced the most tough questions (2).
6.Is Definite Integration's weightage in VITEEE going up or down?

Across all 17 papers analysed, Definite Integration has averaged about 1.9 questions per paper. In the last three years (2022–2024), that average has fallen, 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.