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Mathematics - Definite Integration

Practise 34 Manipal (MET) previous year questions on Definite Integration, compiled from papers spanning 2010 to 2021. 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.

Definite Integration has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 34 questions in all. 35% of them were easy, 53% moderate and 12% tough. Most of its questions came from 2017, with 5 questions that year.

The chapter's 8 topics are not weighted equally: Properties of Definite Integration (17 questions, 50%), Definite Integration by Substitution (4 questions, 12%), and Miscellaneous (4 questions, 12%) have been asked the most. Over the last five years the most frequent topics have been Definite Integration by Substitution (3), Miscellaneous (2), and Properties of Definite Integration (2). Definite as Limit of Sum has produced the most tough questions (1).

  1. 1is equal to2021Properties of Definite Integration
  2. 2is2021Properties of Definite Integration
  3. 3is2021Definite Integration by Substitution
  4. 4is2021Definite Integration by Substitution
  5. 5By trapezoidal rule, the approximate value of the integral is2020Miscellaneous
  6. 6The value of is2020Definite Integration by Substitution
  7. 7By Simpson's rd rule, the approximate value of the integral using four intervals, is2020Miscellaneous
  8. 8The approximate value of using trapezoidal rule with is2019Properties of Definite Integration
  9. 9is equal to2018Properties of Definite Integration
  10. 10is equal to2018Definite Integration by Parts
  11. 11If and , then the value of is2018Properties of Definite Integration
  12. 12is equal to2017Leibnitz Rule of Differentiation
  13. 13is equal to2017Definite Integration by Substitution
  14. 14is equal to2017Properties of Periodic Functions
  15. 15is equal to2017Miscellaneous
  16. 16is2017Properties of Periodic Functions
  17. 17equals2016Miscellaneous
  18. 18The value of is2016Walli's Formula
  19. 19The value of is2015Properties of Definite Integration
  20. 20equals2015Properties of Definite Integration
  21. 21, where denotes the greatest integer function, is equal to2014Properties of Definite Integration
  22. 22The value of is equal to2014Properties of Definite Integration
  23. 23is equal to2014Properties of Definite Integration
  24. 24Preview not available - open to view this question.2013Definite as Limit of Sum
  25. 25The value of is2013Properties of Definite Integration
  26. 26Preview not available - open to view this question.2013Leibnitz Rule of Differentiation
  27. 27If , then the expression for in terms of is2012Definite Integration by Parts
  28. 28The value of is2012Properties of Definite Integration
  29. 29Let be a positive function. Let where , then is2012Properties of Definite Integration
  30. 30The value of is2011Properties of Definite Integration
  31. 31Let , then is equal to2011Properties of Definite Integration
  32. 32is equal to2011Definite as Limit of Sum
  33. 33The value of the integral , where [.] denotes the greatest integer function, is2010Properties of Definite Integration
  34. 34The approximate value of using trapezoidal rule with is2010Properties of Definite Integration

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 34 questions compiled from Manipal (MET) papers spanning 2010 to 2021.

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

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

Definite Integration has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 34 questions across 12 papers - about 3 per paper it appears in.

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

Of the 34 questions analysed for this chapter, 35% are easy, 53% moderate and 12% tough. 2017 had the most, with 5 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 - 17 questions (50%)
  • Definite Integration by Substitution - 4 questions (12%)
  • Miscellaneous - 4 questions (12%)
  • Definite as Limit of Sum has produced the most tough questions (1).