Cambridge IGCSE Question Simulator

O Level Additional Mathematics (4037)

Integration Banker

22 questions · about 10% of the marks we indexed · examined in 9 of 9 sessions.

Questions by year

2026

  • 2026 May/June · Paper 12 · Q1211 marksArea under a curve
  • 2026 May/June · Paper 22 · Q3 (b)3 marksIndefinite integrals

2025

  • 2025 Oct/Nov · Paper 12 · Q9 (a)11 marksFinding a curve from its gradient
  • 2025 Oct/Nov · Paper 12 · Q105 marksDefinite integrals
  • 2025 Oct/Nov · Paper 22 · Q7 (b)4 marksIntegration as reverse of differentiation
  • 2025 Oct/Nov · Paper 22 · Q1010 marksArea under a curve
  • 2025 May/June · Paper 12 · Q4 (a)2 marksDefinite integrals
  • 2025 May/June · Paper 12 · Q126 marksFinding a curve from its gradient
  • 2025 May/June · Paper 22 · Q811 marksArea under a curve

2024

  • 2024 Oct/Nov · Paper 12 · Q5 (c)4 marksDefinite integrals
  • 2024 Oct/Nov · Paper 12 · Q98 marksArea under a curve
  • 2024 May/June · Paper 12 · Q11 (b)3 marksIntegration as reverse of differentiation
  • 2024 May/June · Paper 22 · Q2 (a, b)7 marksDefinite integrals · Indefinite integrals
  • 2024 May/June · Paper 22 · Q99 marksArea under a curve

2023

  • 2023 Oct/Nov · Paper 22 · Q66 marksDefinite integrals
  • 2023 Oct/Nov · Paper 22 · Q8 (c)5 marksIntegration as reverse of differentiation
  • 2023 May/June · Paper 12 · Q910 marksArea under a curve
  • 2023 May/June · Paper 22 · Q7 (c(ii))3 marksIntegration as reverse of differentiation

2022

  • 2022 Oct/Nov · Paper 12 · Q9 (a, b)9 marksDefinite integrals
  • 2022 May/June · Paper 12 · Q7 (a, b)8 marksDefinite integrals
  • 2022 May/June · Paper 22 · Q119 marksArea under a curve
  • 2022 May/June · Paper 22 · Q127 marksFinding a curve from its gradient

Find the full paper on the official Cambridge past-papers page or ask your school. “Paper 42” means Paper 4, variant 2.

Similar questions

Questions that test the same subtopic in different years. Practise them together to master one skill.

Area under a curve 7 questions · 7/9 sessions
Definite integrals 7 questions · 7/9 sessions
Finding a curve from its gradient 3 questions · 3/9 sessions
Integration as reverse of differentiation 4 questions · 4/9 sessions
Indefinite integrals Rare2 questions · 2/9 sessions

Subtopics

SubtopicMarks indexedSessions
Area under a curve 687/9
Definite integrals 387/9
Finding a curve from its gradient 243/9
Integration as reverse of differentiation 154/9
Indefinite integrals Rare62/9

← All Additional Mathematics topics