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Mathematics - Indefinite Integration

Practise 373 MHTCET previous year questions on Indefinite 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.

Indefinite Integration has been asked in 17 of the 17 years of MHTCET papers analysed (2007–2026), with 373 questions in all. 20% of them were easy, 57% moderate and 23% tough. Most of its questions came from 2024, with 64 questions that year. In the last three years (2024–2026) it had 168 questions across 59 papers, about 2.8 per paper.

The chapter's 6 topics are not weighted equally: Integration by Substitution (229 questions, 61%), Integration by Parts (47 questions, 13%), and Fundamental of Indefinite Integration (34 questions, 9%) have been asked the most. Integration by Substitution has also led over the last five years, with 166 questions. Integration by Substitution has produced the most tough questions (50).

  1. 1The value of is20 Apr, 2026 (M)Fundamental of Indefinite Integration
  2. 2Preview not available - open to view this question.20 Apr, 2026 (M)Integration by Parts
  3. 3Preview not available - open to view this question.20 Apr, 2026 (M)Integration by Substitution
  4. 4If and , then20 Apr, 2026 (M)Integration by Substitution
  5. 5Preview not available - open to view this question.20 Apr, 2026 (E)Integration by Substitution
  6. 6Preview not available - open to view this question.20 Apr, 2026 (E)Integration by Substitution
  7. 7Preview not available - open to view this question.20 Apr, 2026 (E)Integration by Substitution
  8. 8If then20 Apr, 2026 (E)Integration by Parts
  9. 9If , where is a constant of integration, then the value of is...19 Apr, 2026 (M)Integration by Substitution
  10. 10If and , then the value of is...19 Apr, 2026 (M)Integration by Substitution
  11. 11The value of integral is equal to...19 Apr, 2026 (M)Integration by Substitution
  12. 12The value of integral is...19 Apr, 2026 (M)Integration by Substitution
  13. 13If and are functions of , then19 Apr, 2026 (E)Fundamental of Indefinite Integration
  14. 14The value of integral is...19 Apr, 2026 (E)Integration by Parts
  15. 15Preview not available - open to view this question.18 Apr, 2026 (M)Integration by Substitution
  16. 16The value of is ...18 Apr, 2026 (M)Integration by Substitution
  17. 17Preview not available - open to view this question.18 Apr, 2026 (M)Integration by Parts
  18. 18Let , , , , and so on. Then18 Apr, 2026 (E)Integration by Substitution
  19. 19If , then18 Apr, 2026 (E)Integration by Substitution
  20. 20If and then17 Apr, 2026 (M)Integration by Substitution
  21. 21Preview not available - open to view this question.17 Apr, 2026 (M)Integration by Parts
  22. 22The value of is17 Apr, 2026 (M)Integration by Substitution
  23. 23The value of is17 Apr, 2026 (M)Integration by Substitution
  24. 24If and , then the value of17 Apr, 2026 (E)Integration by Substitution
  25. 25If , where and is an integration constant, then17 Apr, 2026 (E)Integration using Partial Fraction
  26. 26If then is equal to17 Apr, 2026 (E)Integration by Substitution
  27. 27If , then the value of17 Apr, 2026 (E)Integration by Substitution
  28. 28Preview not available - open to view this question.16 Apr, 2026 (M)Integration by Substitution
  29. 29is equal to16 Apr, 2026 (M)Integration by Substitution
  30. 30Preview not available - open to view this question.16 Apr, 2026 (M)Integration by Substitution
  31. 31If and , then16 Apr, 2026 (E)Integration by Substitution
  32. 32Preview not available - open to view this question.16 Apr, 2026 (E)Integration by Substitution
  33. 33If , then the value of16 Apr, 2026 (E)Integration by Parts
  34. 34If an antiderivative of is and an antiderivative of is , then15 Apr, 2026 (M)Integration by Parts
  35. 35If and are integrable functions then15 Apr, 2026 (M)Fundamental of Indefinite Integration
  36. 36Preview not available - open to view this question.15 Apr, 2026 (M)Integration by Substitution
  37. 37If , then the value of respectively are...15 Apr, 2026 (M)Integration by Substitution
  38. 38If , then the values of and respectively are15 Apr, 2026 (M)Integration by Substitution
  39. 39Preview not available - open to view this question.15 Apr, 2026 (E)Integration by Substitution
  40. 40The value of is15 Apr, 2026 (E)Fundamental of Indefinite Integration
  41. 41Preview not available - open to view this question.15 Apr, 2026 (E)Integration using Partial Fraction
  42. 42(Where c is the constant of integration.), then13 Apr, 2026 (M)Integration by Parts
  43. 43If where c is constant of integration, then the value of is13 Apr, 2026 (M)Integration by Substitution
  44. 44Preview not available - open to view this question.13 Apr, 2026 (M)Integration by Substitution
  45. 45is equal to13 Apr, 2026 (E)Integration by Substitution
  46. 46If , where is constant of integration, then the function is monotonically increasing in the interval13 Apr, 2026 (E)Integration by Substitution
  47. 47Preview not available - open to view this question.13 Apr, 2026 (E)Integration by Substitution
  48. 48If , then the minimum value of is ...13 Apr, 2026 (E)Integration by Parts
  49. 49is equal to11 Apr, 2026 (M)Integration by Substitution
  50. 50If , where is constant of integration, then are respectively equal to11 Apr, 2026 (M)Integration by Substitution

Frequently Asked Questions

1.How many questions are available for Indefinite Integration?

This chapter includes 373 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 Indefinite Integration chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Indefinite Integration an important chapter for MHTCET Mathematics?

Indefinite Integration has appeared in 17 of the 17 years of MHTCET papers covered here, with 373 questions across 107 papers - about 3 per paper it appears in.

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

Of the 373 questions analysed for this chapter, 20% are easy, 57% moderate and 23% tough. 2024 had the most, with 64 questions.

5.Which topics in Indefinite Integration should I focus on?

These topics have carried the most weightage in Indefinite Integration:

  • Integration by Substitution - 229 questions (61%)
  • Integration by Parts - 47 questions (13%)
  • Fundamental of Indefinite Integration - 34 questions (9%)
  • Integration by Substitution has produced the most tough questions (50).
6.Is Indefinite Integration's weightage in MHTCET going up or down?

Across all 107 papers analysed, Indefinite Integration has averaged about 3.5 questions per paper. In the last three years (2024–2026), that average has fallen, at about 2.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.