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Mathematics - Definite Integration

Practise 22 BITSAT previous year questions on Definite Integration, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Definite Integration has been asked in 13 of the 16 years of BITSAT papers analysed (2009–2024), with 22 questions in all. 27% of them were easy, 50% moderate and 23% tough. Most of its questions came from 2024, with 6 questions that year. In the last three years (2022–2024) it had 7 questions across 4 papers, about 1.8 per paper.

The chapter's 8 topics are not weighted equally: Properties of Definite Integration (7 questions, 32%), Definite Integration by Substitution (5 questions, 23%), and Definite Integration by Parts (3 questions, 14%) have been asked the most. Properties of Definite Integration has also led over the last five years, with 5 questions. Definite Integration by Parts has produced the most tough questions (2).

  1. 1equals to2024 (Memory Based Paper 1)Definite as Limit of Sum
  2. 2Preview not available - open to view this question.2024 (Memory Based Paper 1)Properties of Definite Integration
  3. 3is equal to2024 (Memory Based Paper 2)Properties of Definite Integration
  4. 4The integral is equal to2024 (Memory Based Paper 2)Definite Integration by Parts
  5. 5is2024 (Memory Based Paper 3)Miscellaneous
  6. 6The value of definite integral is2024 (Memory Based Paper 3)Properties of Definite Integration
  7. 7is equal to2023 (Memory Based Paper 2)Definite Integration by Substitution
  8. 8then2021Properties of Definite Integration
  9. 9Evaluate:2021Properties of Definite Integration
  10. 10is2020Definite Integration by Substitution
  11. 11is equal to2020Definite Integration by Parts
  12. 12Suppose the limit L = lim n n 0 1 1 1 + x 2 n d x exists and is larger than 1 2 , then2019Leibnitz Rule of Differentiation
  13. 13The value of 0 1 cot - 1 1 - x + x 2 d x is2018Miscellaneous
  14. 14The expression 0 n x d x 0 n x d x , where x and x are integral and fractional part of x and n N , is equal to2017Miscellaneous
  15. 15is equal to2014Properties of Definite Integration
  16. 16Elvaluate2013Definite Integration by Substitution
  17. 17equals2012Properties of Definite Integration
  18. 18Find the value of \( _0^{4 }| x| d x\)2011Properties of Periodic Functions
  19. 19Let \( {I}_1= _1^2 {1}{ {1+ {x}^2}} {dx}\) and \( {I}_2= _1^2 {1}{x} d x\), then2011Properties Involving Inequalities
  20. 20\( 4 (x+ { }{6} ) 2 x ( {5 }{6}+x ) d x\)2010Definite Integration by Parts
  21. 21Evaluate: \( x ^{-1} x d x\)2009Definite Integration by Substitution
  22. 22Evaluate : \( _0^1 { {dx}}{ {2- {x}^2}}\).2009Definite Integration by Substitution

Frequently Asked Questions

1.How many questions are available for Definite Integration?

This chapter includes 22 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Definite Integration has appeared in 13 of the 16 years of BITSAT papers covered here, with 22 questions across 15 papers - about one per paper it appears in.

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

Of the 22 questions analysed for this chapter, 27% are easy, 50% moderate and 23% tough. 2024 had the most, with 6 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 - 7 questions (32%)
  • Definite Integration by Substitution - 5 questions (23%)
  • Definite Integration by Parts - 3 questions (14%)
  • Definite Integration by Parts has produced the most tough questions (2).
6.Is Definite Integration's weightage in BITSAT going up or down?

Across all 15 papers analysed, Definite Integration has averaged about 1.5 questions per paper. In the last three years (2022–2024), that average has risen, at about 1.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.