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Mathematics - Definite Integration

Practise 93 WBJEE previous year questions on Definite Integration, compiled from papers spanning 2009 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 WBJEE tests.

Definite Integration has been asked in 18 of the 18 years of WBJEE papers analysed (2009–2026), with 93 questions in all. 29% of them were easy, 55% moderate and 16% tough. Most of its questions came from 2021, with 8 questions that year. In the last three years (2024–2026) it had 15 questions across 3 papers, about 5 per paper.

The chapter's 9 topics are not weighted equally: Properties of Definite Integration (36 questions, 39%), Definite Integration by Substitution (15 questions, 16%), and Miscellaneous (9 questions, 10%) have been asked the most. Properties of Definite Integration has also led over the last five years, with 13 questions. Properties of Definite Integration has produced the most tough questions (3).

  1. 1If , then is2026Properties of Definite Integration
  2. 2The least positive value of 'a' for which the equation has a solution is2026Properties of Definite Integration
  3. 3Let be a real valued function which is monotonic and differentiable. Then for any reals and ,2026Definite Integration by Substitution
  4. 4Let be non-zero real numbers, such that , then has2026Properties of Definite Integration
  5. 5Let for all and is bounded. If where , then the value(s) of is/are2026Properties of Definite Integration
  6. 6The value of the integral is2025Properties of Definite Integration
  7. 7is equal to2025Properties of Definite Integration
  8. 8is equal to2025Properties of Definite Integration
  9. 9The value of the integral is2025Properties of Definite Integration
  10. 10Let , where stands for the greatest integer not greater than . Then has the value2025Area Under Curves
  11. 11The value of is2025Properties of Definite Integration
  12. 12If and , then the value of is2025Properties of Definite Integration
  13. 13If and , then the value of is2024Definite Integration by Substitution
  14. 14All values of a for which the inequality is satisfied, lie in the interval2024Properties of Definite Integration
  15. 15The points of extremum of are2024Leibnitz Rule of Differentiation
  16. 16The expression \( { _0^n[x] d x}{ _0^n\{x\} d x}\), where \([x]\) and \(\{x\}\) are respectively integral and fractional part of \(x\) and \2023Miscellaneous
  17. 17\( _0^{2 } ^6 d \) is equal to2023Miscellaneous
  18. 18The average ordinate of \(y= x\) over \([0, ]\) is2023Properties of Definite Integration
  19. 19Let \(f\) be a non-negative function defined on \( [0, { }{2} ]\). If \( _0^x (f^{ }(t)- 2 t ) d t= _x^0 f(t) t d t, f(0)=1\), then \( _0^{ 2023Leibnitz Rule of Differentiation
  20. 20Which of the following statements are true?2023Properties of Periodic Functions
  21. 21Let be derivable in , then2022Leibnitz Rule of Differentiation
  22. 22Let . Then a and are given by2022Leibnitz Rule of Differentiation
  23. 23The value of is2022Properties of Definite Integration
  24. 24Let . Then equals2022Leibnitz Rule of Differentiation
  25. 25Let be a non-negative function defined in exists and be continuous for all and and . Then2022Leibnitz Rule of Differentiation
  26. 26If is the greatest of , then2022Properties Involving Inequalities
  27. 27The value of is2021Miscellaneous
  28. 28Preview not available - open to view this question.2021Properties of Definite Integration
  29. 29The value of the integral is equal to2021Properties of Definite Integration
  30. 30If then the value of is2021Definite Integration by Substitution
  31. 31Let . Then2021Properties Involving Inequalities
  32. 32If , then is2021Definite Integration by Substitution
  33. 33Let be a continuous periodic function with period . Let . Then2021Properties of Periodic Functions
  34. 34Whichever of the following is/are correct?2021Definite Integration by Substitution
  35. 35The value of is equal to2020Properties of Definite Integration
  36. 36is equal to where [] if GIF2020Properties of Definite Integration
  37. 37If , then2020Definite Integration by Substitution
  38. 38Let , be a continuous function in , then is2020Definite as Limit of Sum
  39. 39The value of the integration2019Properties of Definite Integration
  40. 40If then is equal to2019Definite Integration by Substitution
  41. 41The value of the integral is equal to2019Properties of Definite Integration
  42. 42Preview not available - open to view this question.2019Definite as Limit of Sum
  43. 43Let If for all then2019Leibnitz Rule of Differentiation
  44. 44If then the value of is2018Properties of Definite Integration
  45. 45The value of the integral is2018Definite Integration by Substitution
  46. 46Let . Then2018Properties Involving Inequalities
  47. 47The value of is2018Definite Integration by Substitution
  48. 48The value of2018Definite as Limit of Sum
  49. 49Let . Then2018Properties Involving Inequalities
  50. 50Let . Then,2017Properties Involving Inequalities

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 93 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Definite Integration has appeared in 18 of the 18 years of WBJEE papers covered here, with 93 questions across 18 papers - about 5 per paper it appears in.

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

Of the 93 questions analysed for this chapter, 29% are easy, 55% moderate and 16% tough. 2021 had the most, with 8 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 - 36 questions (39%)
  • Definite Integration by Substitution - 15 questions (16%)
  • Miscellaneous - 9 questions (10%)
  • Properties of Definite Integration has produced the most tough questions (3).
6.Is Definite Integration's weightage in WBJEE going up or down?

Across all 18 papers analysed, Definite Integration has averaged about 5.2 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 5.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.