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Mathematics - Indefinite Integration

Practise 37 WBJEE previous year questions on Indefinite Integration, compiled from papers spanning 2009 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 WBJEE tests.

Indefinite Integration has been asked in 16 of the 18 years of WBJEE papers analysed (2009–2026), with 37 questions in all. 22% of them were easy, 57% moderate and 22% tough. Most of its questions came from 2023, with 4 questions that year. In the last three years (2024–2026) it had 5 questions across 3 papers, about 1.7 per paper.

The chapter's 6 topics are not weighted equally: Integration by Substitution (18 questions, 49%), Fundamental of Indefinite Integration (8 questions, 22%), and Miscellaneous Forms (6 questions, 16%) have been asked the most. Integration by Substitution has also led over the last five years, with 6 questions. Integration by Substitution has produced the most tough questions (5).

  1. 1Preview not available - open to view this question.2026Integration by Substitution
  2. 2If and is constant of integration, then will be2026Integration by Substitution
  3. 3If then2024Integration by Substitution
  4. 4Preview not available - open to view this question.2024Integration by Substitution
  5. 5Let . then,2024Integration by Substitution
  6. 6If \(I= {x^2 d x}{(x x+ x)^2}=f(x)+ x+c\), then \(f(x)\) is2023Miscellaneous Forms
  7. 7If \( {d x}{(x+1)(x-2)(x-3)}= {1}{k} _e \{ {|x-3|^3|x+1|}{(x-2)^4} \}+c\), then the value of \(k\) is2023Integration using Partial Fraction
  8. 8The value of \( _0^{1 / 2} {d x}{ {1-x^{2 n}}}\) is \((n {N})\)2023Miscellaneous Forms
  9. 9If \(I_n= _0^{ { }{2}} ^n x n x d x\), then \(I_1, I_2, I_3 \) are in2023Integration using Reduction Formula
  10. 10. Then2022Integration by Parts
  11. 11Let ; then2022Integration by Substitution
  12. 12If , then2021Integration by Substitution
  13. 13Preview not available - open to view this question.2020Integration by Substitution
  14. 14If then is equal to (assuming is a arbitrary real constant)2019Integration by Parts
  15. 15is an equation of a family of2019Integration by Substitution
  16. 16If where c is constant of integration, then is equal to2018Miscellaneous Forms
  17. 17If where is the constant of integration, then is equal to2018Fundamental of Indefinite Integration
  18. 18where is an arbitrary constant. Here, is equal to2017Integration by Substitution
  19. 19is2017Miscellaneous Forms
  20. 20is equal to2016Integration by Substitution
  21. 21is equal to2016Integration by Substitution
  22. 22The value of is2015Integration by Substitution
  23. 23A family of curves is such that the length intercepted on the -axis between the origin and the tangent at a point is three times the ordinat2013Fundamental of Indefinite Integration
  24. 24The solution of the differential equation satisfying2013Integration by Substitution
  25. 25If and are twice differentiable. functions on (0,3) satisfying then is2012Fundamental of Indefinite Integration
  26. 26Let denote the greatest integer less than or equal to , then the value of the integral is equal to2012Fundamental of Indefinite Integration
  27. 27\( {x^3 d x}{1+x^8}=\)2011Integration by Substitution
  28. 28\( { 2 x}{ x} d x=\)2011Fundamental of Indefinite Integration
  29. 29\( { ^8 x- ^8 x}{1-2 ^2 x ^2 x} d x\)2011Fundamental of Indefinite Integration
  30. 30\( 2^x (f^{ }(x)+f(x) 2 ) d x\) is2011Miscellaneous Forms
  31. 31is equal to2010Integration by Substitution
  32. 32is equal to2010Miscellaneous Forms
  33. 33The value of the integral is2010Integration by Substitution
  34. 34is equal to2010Fundamental of Indefinite Integration
  35. 35equals where is an arbitrary constant2009Fundamental of Indefinite Integration
  36. 36is equal to where is an arbitrary constant2009Integration by Substitution
  37. 37equals where is an arbitrary constant.2009Integration using Partial Fraction

Frequently Asked Questions

1.How many questions are available for Indefinite Integration?

This chapter includes 37 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Indefinite Integration has appeared in 16 of the 18 years of WBJEE papers covered here, with 37 questions across 16 papers - about 2 per paper it appears in.

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

Of the 37 questions analysed for this chapter, 22% are easy, 57% moderate and 22% 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 - 18 questions (49%)
  • Fundamental of Indefinite Integration - 8 questions (22%)
  • Miscellaneous Forms - 6 questions (16%)
  • Integration by Substitution has produced the most tough questions (5).
6.Is Indefinite Integration's weightage in WBJEE going up or down?

Across all 16 papers analysed, Indefinite Integration has averaged about 2.3 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.