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Mathematics - Indefinite Integration

Practise 23 BITSAT previous year questions on Indefinite 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.

Indefinite Integration has been asked in 13 of the 16 years of BITSAT papers analysed (2009–2024), with 23 questions in all. 13% of them were easy, 61% moderate and 26% tough. Most of its questions came from 2023, with 4 questions that year. In the last three years (2022–2024) it had 9 questions across 5 papers, about 1.8 per paper.

The chapter's 5 topics are not weighted equally: Integration by Substitution (11 questions, 48%), Integration by Parts (4 questions, 17%), and Miscellaneous Forms (4 questions, 17%) have been asked the most. Integration by Substitution has also led over the last five years, with 6 questions. Integration by Parts has produced the most tough questions (2).

  1. 1Preview not available - open to view this question.2024 (Memory Based Paper 1)Integration by Substitution
  2. 2The value of is2024 (Memory Based Paper 1)Integration by Substitution
  3. 3Preview not available - open to view this question.2024 (Memory Based Paper 2)Integration using Partial Fraction
  4. 4If , then is equal to2023 (Memory Based Paper 1)Integration by Parts
  5. 5is equal to2023 (Memory Based Paper 1)Integration by Parts
  6. 6is equal to2023 (Memory Based Paper 2)Integration by Parts
  7. 7Value of is2023 (Memory Based Paper 2)Integration by Substitution
  8. 8The value of , is2022Miscellaneous Forms
  9. 9Let and , then the value of be2022Miscellaneous Forms
  10. 10If , then value of is2021Integration by Substitution
  11. 11The value of is :2021Integration by Substitution
  12. 12equals2021Integration by Substitution
  13. 13If then the value of is2021Integration using Partial Fraction
  14. 14The integral 1 + x - 1 x e x + 1 x d x is equal to2019Integration by Substitution
  15. 15Let P x = d x e x + 8 e - x + 4 e - 3 x , Q x = d x e 3 x + 8 e x + 4 e - x and R x = P x - 2 Q x . If R x = 1 2 A B + 2 e - x C + K , then 2018Miscellaneous Forms
  16. 16If ( x ) 5 d x ( x ) 7 + x 6 = log x 9 x 9 + 1 + C , then a + equal to2017Miscellaneous Forms
  17. 17Evaluate:2014Integration by Substitution
  18. 18is equal to2013Integration by Substitution
  19. 19Evaluate:2012Integration by Substitution
  20. 20Evaluate \( {x^2}{x^2-1} d x\)2011Fundamental of Indefinite Integration
  21. 21The slope of the tangent to the hyperbola \(2 x^2-3 y^2=6\) at \((3,2)\) is2010Fundamental of Indefinite Integration
  22. 22The equation of tangent to the curve \(y= x\) at the point \(( , 0)\) is2009Integration by Substitution
  23. 23If \( {2 x- x+ }{ x+ x-2} d x\) \(=A | x+ x-2|+B x+C\). Then the ordered triplet \(A, B, \) is -2009Integration by Parts

Frequently Asked Questions

1.How many questions are available for Indefinite Integration?

This chapter includes 23 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 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 BITSAT Mathematics?

Indefinite Integration has appeared in 13 of the 16 years of BITSAT papers covered here, with 23 questions across 15 papers - about 2 per paper it appears in.

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

Of the 23 questions analysed for this chapter, 13% are easy, 61% moderate and 26% tough. 2023 had the most, with 4 questions.

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

These topics have carried the most weightage in Indefinite Integration:

  • Integration by Substitution - 11 questions (48%)
  • Integration by Parts - 4 questions (17%)
  • Miscellaneous Forms - 4 questions (17%)
  • Integration by Parts has produced the most tough questions (2).
6.Is Indefinite Integration's weightage in BITSAT going up or down?

Across all 15 papers analysed, Indefinite 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.