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Mathematics - Definite Integration

Practise 52 KCET previous year questions on Definite Integration, compiled from papers spanning 2007 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 KCET tests.

Definite Integration has been asked in 20 of the 20 years of KCET papers analysed (2007–2026), with 52 questions in all. 33% of them were easy, 46% moderate and 21% tough. Most of its questions came from 2022, with 5 questions that year. In the last three years (2024–2026) it had 7 questions across 3 papers, about 2.3 per paper.

The chapter's 7 topics are not weighted equally: Properties of Definite Integration (32 questions, 62%), Definite Integration by Substitution (10 questions, 19%), and Properties of Periodic Functions (3 questions, 6%) have been asked the most. Properties of Definite Integration has also led over the last five years, with 10 questions. Properties of Definite Integration has produced the most tough questions (5).

  1. 1One of the possible functions which satisfies is2026Properties of Definite Integration
  2. 2is equal to2026Definite Integration by Substitution
  3. 3The value of is2025Properties of Definite Integration
  4. 4The value of is2025Properties of Definite Integration
  5. 5is2025Properties of Definite Integration
  6. 6is2024Properties of Definite Integration
  7. 7Preview not available - open to view this question.2024Properties of Definite Integration
  8. 8is equals to2023Properties of Definite Integration
  9. 9is equals to2023Definite Integration by Substitution
  10. 10is equals to2023Properties of Definite Integration
  11. 11If is the greatest integer function not greater than , then is equal to2022Properties of Definite Integration
  12. 12is equal to2022Definite Integration by Substitution
  13. 13is equal to2022Miscellaneous
  14. 14Evaluate as the limit of a sum2022Properties of Definite Integration
  15. 15is equal to2022Definite Integration by Substitution
  16. 16If , where is positive integer, then is equal to2021Definite Integration by Reduction Formula
  17. 17The value of is equal to2021Properties of Definite Integration
  18. 18If , then the values of and are respectively2020Properties of Periodic Functions
  19. 19\( _{-3}^{3} ^{-1} x d x= \)2019Properties of Periodic Functions
  20. 20\( _{0}^{2} [x^{2} ] d x \)2019Properties of Periodic Functions
  21. 21\( _{0}^{1} { {1+x}{1-x}} d x= \)2019Definite Integration by Substitution
  22. 22\( _{0}^{1} {d x}{e^{x}+e^{-x}} \) is equal to2018Properties of Definite Integration
  23. 23\( _{0}^{ {1}{2}} {d x}{ (1+X^{2} ) {1-X^{2}}} \) is equal to2018Definite Integration by Substitution
  24. 24\( _{-2}^{2}|x x| d x \) is equal to2018Properties of Definite Integration
  25. 25The total number of terms in the expansion of \( (x+a)^{47}-(x-a)^{47} \) after simplification is2017Properties of Definite Integration
  26. 26The perpendicular distance of the point \( P(6,7,8) \) from \( X Y \) - plane is2017Properties of Definite Integration
  27. 27If coefficient of variation is \( 60 \) and standarddeviation is \( 24 \), then Arithmetic mean is2017Properties of Definite Integration
  28. 28\( _{0}^{ { }{2}} { ^{7} x}{ ^{7} x+ ^{7} x} d x \) is equal to2017Properties of Definite Integration
  29. 29If \( {a}=2 {i}+ {j}+ {k} \) and \( {b}= {i}+2 {j}+3 {k} \) are orthogonal then the value of \( \) is2017Properties of Definite Integration
  30. 30The value of \( _{- / 4}^{ / 4} ^{103} x ^{101} x {~d} {x} \) is2016Definite Integration by Substitution
  31. 31\( _{0}^{ { }{2}} { ^{1000} x d x}{ ^{1000} x+ ^{1000} x} \) is equal to2016Properties of Definite Integration
  32. 32The value of \( _{2}^{8} { {10-x}}{ {x}+ {10-x}} d x \) is2016Definite Integration by Substitution
  33. 33\( f(x)= \{ {array}{cl}3 x-8 & { if } x 5 \\ 2 k & { if } x>5 {array} . \) is continuous, find \( k . \)2015Properties of Definite Integration
  34. 34The solution set of the inequation \( {x^{2}+6 x-7}{|x+4|} < 0 \) is2015Properties of Definite Integration
  35. 35If \( A \) is \( 3 4 \) matrix and \( B \) is a matrix such that \( A^{ } B \) and \( B A^{ } \) are both defined, then \( B \) is of the ty2014Properties of Definite Integration
  36. 36If \( A \) is a matrix of order \( 3 \), such that \( A( {adj} A)=10 I \), then \( | {adj} A|= \)2014Properties of Definite Integration
  37. 37If the events \( A \) and \( B \) are independent if \( P (A^{ } )= {2}{3} \) and \( P (B^{ } )= {2}{7} \), then \( P(A B) \) is equal to O 2014Miscellaneous
  38. 38If and , then which one of the following is true?2013Definite Integration by Parts
  39. 39The value of , is2013Properties of Definite Integration
  40. 40is equal to2013Properties of Definite Integration
  41. 41is equal to2012Properties of Definite Integration
  42. 42If is the greatest integer function not greater than , then is equal to2012Properties of Definite Integration
  43. 43The value of is2011Properties of Definite Integration
  44. 44If , where is a positive integer, then is2011Definite Integration by Reduction Formula
  45. 45is2010Definite Integration by Substitution
  46. 46is2010Definite Integration by Parts
  47. 47If , then for any is equal to2009Leibnitz Rule of Differentiation
  48. 48is equal to2009Properties of Definite Integration
  49. 49If , then the value of ...+100 is equal to2009Properties of Definite Integration
  50. 50The value of depends on the2008Properties of Definite Integration

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 52 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Definite Integration has appeared in 20 of the 20 years of KCET papers covered here, with 52 questions across 20 papers - about 3 per paper it appears in.

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

Of the 52 questions analysed for this chapter, 33% are easy, 46% moderate and 21% tough. 2022 had the most, with 5 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 - 32 questions (62%)
  • Definite Integration by Substitution - 10 questions (19%)
  • Properties of Periodic Functions - 3 questions (6%)
  • Properties of Definite Integration has produced the most tough questions (5).
6.Is Definite Integration's weightage in KCET going up or down?

Across all 20 papers analysed, Definite Integration has averaged about 2.6 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.