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Mathematics - Indefinite Integration

Practise 101 COMEDK previous year questions on Indefinite Integration, compiled from papers spanning 2012 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 COMEDK tests.

Indefinite Integration has been asked in 15 of the 15 years of COMEDK papers analysed (2012–2026), with 101 questions in all. 26% of them were easy, 63% moderate and 11% tough. Most of its questions came from 2025, with 40 questions that year. In the last three years (2024–2026) it had 60 questions across 10 papers, about 6 per paper.

The chapter's 5 topics are not weighted equally: Integration by Substitution (62 questions, 61%), Fundamental of Indefinite Integration (13 questions, 13%), and Integration by Parts (13 questions, 13%) have been asked the most. Integration by Substitution has also led over the last five years, with 51 questions. Integration by Substitution has produced the most tough questions (7).

  1. 1Preview not available - open to view this question.09 May, 2026 (S1)Integration by Substitution
  2. 2Preview not available - open to view this question.09 May, 2026 (S1)Integration by Substitution
  3. 3Preview not available - open to view this question.09 May, 2026 (S1)Integration by Parts
  4. 4Preview not available - open to view this question.09 May, 2026 (S1)Integration by Substitution
  5. 5Preview not available - open to view this question.09 May, 2026 (S2)Fundamental of Indefinite Integration
  6. 6Preview not available - open to view this question.09 May, 2026 (S2)Fundamental of Indefinite Integration
  7. 7Preview not available - open to view this question.09 May, 2026 (S2)Integration by Substitution
  8. 8Preview not available - open to view this question.09 May, 2026 (S2)Integration by Parts
  9. 9If then25 May, 2025 (Shift)Integration by Substitution
  10. 10Given that is an increasing function on R set of real numbers, then belongs to25 May, 2025 (Shift)Integration by Substitution
  11. 11Evaluate the value of the arbitrary constant ' c ' given that , of the differential equation25 May, 2025 (Shift)Integration by Substitution
  12. 12The equation represents an ellipse, if25 May, 2025 (Shift)Integration by Substitution
  13. 13then25 May, 2025 (Shift)Integration by Parts
  14. 14then25 May, 2025 (Shift)Fundamental of Indefinite Integration
  15. 15The least value of the function is25 May, 2025 (Shift)Integration by Substitution
  16. 16The solution of the differential equation given , is25 May, 2025 (Shift)Integration by Substitution
  17. 17Preview not available - open to view this question.25 May, 2025 (Shift)Integration by Parts
  18. 18If and , then the value of ' ' is25 May, 2025 (Shift)Integration by Substitution
  19. 19then25 May, 2025 (Shift)Integration by Substitution
  20. 20If then25 May, 2025 (Shift)Integration by Substitution
  21. 21The sum of three numbers is 20 . If we multiply the first number by 2 and add the second number to the result, and subtract the third number25 May, 2025 (Shift)Integration by Substitution
  22. 22Find the length of the perpendicular drawn from the point to the line joining the origin and the point of intersection of the lines and25 May, 2025 (Shift)Integration by Substitution
  23. 23Preview not available - open to view this question.10 May, 2025 (S1)Integration by Parts
  24. 24then10 May, 2025 (S1)Integration by Substitution
  25. 25For two matrices A and B , given that then inverse of (8A) is10 May, 2025 (S1)Integration by Substitution
  26. 26Preview not available - open to view this question.10 May, 2025 (S1)Integration by Substitution
  27. 27Area of the region bounded by the curve between and 0 is10 May, 2025 (S1)Integration by Substitution
  28. 28then10 May, 2025 (S1)Integration using Partial Fraction
  29. 29Preview not available - open to view this question.10 May, 2025 (S2)Integration by Parts
  30. 30Preview not available - open to view this question.10 May, 2025 (S2)Integration by Substitution
  31. 31The area of the region bounded by the ellipse is10 May, 2025 (S2)Integration by Substitution
  32. 32(assuming ). Then10 May, 2025 (S2)Fundamental of Indefinite Integration
  33. 33is10 May, 2025 (S2)Integration by Substitution
  34. 34then10 May, 2025 (S2)Integration using Partial Fraction
  35. 35Position vector of P and Q are and respectively. Then the cosine of the angle between and y -axis is10 May, 2025 (S2)Integration by Substitution
  36. 36The corner points of the feasible region determined by the system of linear constraints are and . If objective function is then the conditio10 May, 2025 (S2)Integration by Substitution
  37. 37Let Then the cardinal number of set C is10 May, 2025 (S2)Integration by Substitution
  38. 38Shortest distance between the lines and is10 May, 2025 (S2)Integration by Substitution
  39. 39If , then10 May, 2025 (S3)Integration by Substitution
  40. 40Evaluate:10 May, 2025 (S3)Integration by Substitution
  41. 41The solution for the following system of inequalities and on a real number line is10 May, 2025 (S3)Integration by Substitution
  42. 42Given that n number of arithmetic means are inserted between two pairs of numbers and ; where . If the means in the two cases are the same, 10 May, 2025 (S3)Integration by Substitution
  43. 43The area of a triangle formed by the lines joining the vertex of the parabola to the ends of its latus rectum is 18 sq units then the value 10 May, 2025 (S3)Integration by Substitution
  44. 44If the area under the curve included between the lines and is 4 sq units. Then the value of ' ' is10 May, 2025 (S3)Integration by Substitution
  45. 45The function is strictly increasing function for10 May, 2025 (S3)Integration by Substitution
  46. 46then the value of and is ----10 May, 2025 (S3)Integration using Partial Fraction
  47. 47then10 May, 2025 (S3)Fundamental of Indefinite Integration
  48. 48An unbiased die is tossed twice. What is the probability of getting a 4,5 or 6 on the first toss and a 1,2,3 or 4 on the second toss?10 May, 2025 (S3)Integration by Substitution
  49. 49Preview not available - open to view this question.2024 (Afternoon Shift)Integration by Substitution
  50. 50Preview not available - open to view this question.2024 (Afternoon Shift)Integration by Parts

Frequently Asked Questions

1.How many questions are available for Indefinite Integration?

This chapter includes 101 questions compiled from COMEDK papers spanning 2012 to 2026.

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

These are COMEDK 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 COMEDK Mathematics?

Indefinite Integration has appeared in 15 of the 15 years of COMEDK papers covered here, with 101 questions across 24 papers - about 4 per paper it appears in.

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

Of the 101 questions analysed for this chapter, 26% are easy, 63% moderate and 11% tough. 2025 had the most, with 40 questions.

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

These topics have carried the most weightage in Indefinite Integration:

  • Integration by Substitution - 62 questions (61%)
  • Fundamental of Indefinite Integration - 13 questions (13%)
  • Integration by Parts - 13 questions (13%)
  • Integration by Substitution has produced the most tough questions (7).
6.Is Indefinite Integration's weightage in COMEDK going up or down?

Across all 24 papers analysed, Indefinite Integration has averaged about 4.2 questions per paper. In the last three years (2024–2026), that average has risen, at about 6.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.