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Mathematics - Indefinite Integration

Practise 33 Manipal (MET) previous year questions on Indefinite Integration, compiled from papers spanning 2010 to 2023. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Indefinite Integration has been asked in 13 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 33 questions in all. 27% of them were easy, 45% moderate and 27% tough. Most of its questions came from 2011, with 5 questions that year. In the last three years (2022–2024) it had 2 questions across 2 papers, about 1 per paper.

The chapter's 6 topics are not weighted equally: Integration by Substitution (15 questions, 45%), Integration using Partial Fraction (6 questions, 18%), and Integration by Parts (5 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Integration by Parts (1), Integration by Substitution (1), and Integration using Reduction Formula (1). Integration by Parts has produced the most tough questions (3).

  1. 1, then is equal to2023Integration by Substitution
  2. 2If , then is equal to2022Integration by Parts
  3. 3If then is equal to2020Integration using Reduction Formula
  4. 4If , then is equal to2019Integration by Substitution
  5. 5If , then equals2019Integration by Parts
  6. 6is equal to2018Integration by Substitution
  7. 7is equal to2017Integration by Parts
  8. 8is equal to2017Integration by Substitution
  9. 9is equal to2017Integration by Parts
  10. 10The value of is2016Integration by Substitution
  11. 11The value of is2016Miscellaneous Forms
  12. 12is equal to2016Miscellaneous Forms
  13. 13is equal to2015Fundamental of Indefinite Integration
  14. 14equals2015Integration by Substitution
  15. 15The value of is2015Fundamental of Indefinite Integration
  16. 16is equal to2014Integration by Substitution
  17. 17is equal to2014Integration using Partial Fraction
  18. 18is equal to2014Fundamental of Indefinite Integration
  19. 19is equal to2013Integration by Substitution
  20. 20is equal to2013Integration by Substitution
  21. 21If then is2013Integration by Substitution
  22. 22If then is equal to2013Integration using Partial Fraction
  23. 23Evaluate2012Integration by Substitution
  24. 24Evaluate2012Integration by Parts
  25. 25If , then is equal to2012Integration by Substitution
  26. 26The value of is2011Integration by Substitution
  27. 27is equal to2011Integration using Partial Fraction
  28. 28If , then is equal to2011Integration using Partial Fraction
  29. 29If , then is equal to2011Integration using Partial Fraction
  30. 30If , then is equal to2011Integration using Partial Fraction
  31. 31If , then is equal to2010Fundamental of Indefinite Integration
  32. 32is equal to2010Integration by Substitution
  33. 33Evaluate2010Integration by Substitution

Frequently Asked Questions

1.How many questions are available for Indefinite Integration?

This chapter includes 33 questions compiled from Manipal (MET) papers spanning 2010 to 2023.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Indefinite Integration has appeared in 13 of the 15 years of Manipal (MET) papers covered here, with 33 questions across 13 papers - about 3 per paper it appears in.

4.What is the difficulty level of Indefinite Integration questions in Manipal (MET)?

Of the 33 questions analysed for this chapter, 27% are easy, 45% moderate and 27% tough. 2011 had the most, with 5 questions.

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

These topics have carried the most weightage in Indefinite Integration:

  • Integration by Substitution - 15 questions (45%)
  • Integration using Partial Fraction - 6 questions (18%)
  • Integration by Parts - 5 questions (15%)
  • Integration by Parts has produced the most tough questions (3).
6.Is Indefinite Integration's weightage in Manipal (MET) going up or down?

Across all 13 papers analysed, Indefinite Integration has averaged about 2.5 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.