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Mathematics - Definite Integration

Practise 223 MHTCET 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 MHTCET tests.

Definite Integration has been asked in 17 of the 17 years of MHTCET papers analysed (2007–2026), with 223 questions in all. 30% of them were easy, 55% moderate and 15% tough. Most of its questions came from 2020, with 41 questions that year. In the last three years (2024–2026) it had 88 questions across 59 papers, about 1.5 per paper.

The chapter's 7 topics are not weighted equally: Properties of Definite Integration (124 questions, 56%), Definite Integration by Substitution (56 questions, 25%), and Miscellaneous (22 questions, 10%) have been asked the most. Properties of Definite Integration has also led over the last five years, with 79 questions. Properties of Definite Integration has produced the most tough questions (13).

  1. 1If , then the value of is...20 Apr, 2026 (M)Properties of Definite Integration
  2. 2If denotes the greatest integer less than or equal to , then the value of the integral is equal to20 Apr, 2026 (M)Properties of Definite Integration
  3. 3If then is equal to20 Apr, 2026 (E)Definite Integration by Reduction Formula
  4. 4If , then the value of20 Apr, 2026 (E)Properties of Definite Integration
  5. 5The value of the integral is20 Apr, 2026 (E)Properties of Definite Integration
  6. 6The value of ...(where and are the fractional part function and the greatest integer function, respectively)19 Apr, 2026 (M)Properties of Definite Integration
  7. 7If is the greatest integer function not greater than , then the value of is...19 Apr, 2026 (M)Properties of Definite Integration
  8. 8If is an antiderivative of with respect to , then value of is...19 Apr, 2026 (E)Definite Integration by Substitution
  9. 9The value of integral is...19 Apr, 2026 (E)Definite Integration by Substitution
  10. 10If is defined on interval , then the value of is...19 Apr, 2026 (E)Properties of Definite Integration
  11. 11If denotes the greatest integer function, then18 Apr, 2026 (M)Properties of Definite Integration
  12. 12The value of the definite integral is equal to...18 Apr, 2026 (M)Definite Integration by Substitution
  13. 13Preview not available - open to view this question.18 Apr, 2026 (E)Properties of Definite Integration
  14. 14If , where then18 Apr, 2026 (E)Properties of Definite Integration
  15. 15If where and , then17 Apr, 2026 (M)Definite Integration by Parts
  16. 16The value of is _____17 Apr, 2026 (M)Properties of Definite Integration
  17. 17Let for every real number , where is integral part of . then is17 Apr, 2026 (E)Properties of Periodic Functions
  18. 18The value of the definite integral is equal to ...17 Apr, 2026 (E)Definite Integration by Substitution
  19. 19If , then is equal to17 Apr, 2026 (E)Properties of Definite Integration
  20. 20The function satisfies which of the following differential equations?17 Apr, 2026 (E)Leibnitz Rule of Differentiation
  21. 21Preview not available - open to view this question.16 Apr, 2026 (M)Definite Integration by Substitution
  22. 22Preview not available - open to view this question.16 Apr, 2026 (M)Properties of Definite Integration
  23. 23The value of is...16 Apr, 2026 (E)Properties of Definite Integration
  24. 24The value of integral is...16 Apr, 2026 (E)Definite Integration by Parts
  25. 25The value of the integral is equal to . Then15 Apr, 2026 (M)Properties of Definite Integration
  26. 26Preview not available - open to view this question.15 Apr, 2026 (M)Definite Integration by Substitution
  27. 27If is an even function, then is15 Apr, 2026 (E)Properties of Definite Integration
  28. 28Preview not available - open to view this question.15 Apr, 2026 (E)Properties of Definite Integration
  29. 29The value of the integral is13 Apr, 2026 (M)Properties of Definite Integration
  30. 30If , then13 Apr, 2026 (M)Properties of Definite Integration
  31. 31If , then the value of ............13 Apr, 2026 (E)Properties of Definite Integration
  32. 32If , then the real value of is13 Apr, 2026 (E)Properties of Definite Integration
  33. 33If , then the sum of the values of is..11 Apr, 2026 (M)Properties of Definite Integration
  34. 34If denotes the greatest integer function, then is equal to11 Apr, 2026 (M)Properties of Definite Integration
  35. 35If , then _____11 Apr, 2026 (E)Definite Integration by Substitution
  36. 36If , then values of and are11 Apr, 2026 (E)Definite Integration by Substitution
  37. 37The value of is05 May, 2025 (E)Properties of Definite Integration
  38. 38Preview not available - open to view this question.05 May, 2025 (E)Definite Integration by Parts
  39. 39Preview not available - open to view this question.27 Apr, 2025 (E)Definite Integration by Parts
  40. 40If and then27 Apr, 2025 (E)Properties of Definite Integration
  41. 41Preview not available - open to view this question.26 Apr, 2025 (M)Definite Integration by Parts
  42. 42Preview not available - open to view this question.26 Apr, 2025 (M)Properties of Definite Integration
  43. 43Preview not available - open to view this question.26 Apr, 2025 (E)Properties of Definite Integration
  44. 44Preview not available - open to view this question.26 Apr, 2025 (E)Properties of Definite Integration
  45. 45Preview not available - open to view this question.25 Apr, 2025 (M)Properties of Definite Integration
  46. 46Preview not available - open to view this question.25 Apr, 2025 (M)Definite Integration by Substitution
  47. 47Let is differentiable function having and is continuous at , then25 Apr, 2025 (E)Leibnitz Rule of Differentiation
  48. 48Preview not available - open to view this question.25 Apr, 2025 (E)Properties of Definite Integration
  49. 49Preview not available - open to view this question.25 Apr, 2025 (E)Properties of Definite Integration
  50. 50The value of is23 Apr, 2025 (M)Properties of Definite Integration

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 223 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Definite Integration has appeared in 17 of the 17 years of MHTCET papers covered here, with 223 questions across 106 papers - about 2 per paper it appears in.

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

Of the 223 questions analysed for this chapter, 30% are easy, 55% moderate and 15% tough. 2020 had the most, with 41 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 - 124 questions (56%)
  • Definite Integration by Substitution - 56 questions (25%)
  • Miscellaneous - 22 questions (10%)
  • Properties of Definite Integration has produced the most tough questions (13).
6.Is Definite Integration's weightage in MHTCET going up or down?

Across all 106 papers analysed, Definite Integration has averaged about 2.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.