CIE IAL · Mathematics · 9709 P1 · Integration
Topic Questions: • use definite integration to find – the area of a region bounded by a curve and lines parallel to the axes, or between a curve and a line or between two curves – a volume of revolution about one of the axes — 9709 P1 Integration
45 9709 P1 Integration topic questions are tagged to this syllabus point across 42 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Integration syllabus point appears in 42 9709 P1 papers across 2020–2026, contributing 45 topic questions and 226 marks. The most recent appearance is 9709/11 May/June 2026. That equals 45.0% of the 100 topic questions and 49.2% of the 459 marks tagged to Integration. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/11May/June 2026 · CIE IAL | Q8 Volume of Revolution Between Curve and Line - CIE Mathematics 2026 Jun Paper 11 Q8 |
FRQ | 1 part | 8 | Hard | Go to Practice Hub |
| 9709/12May/June 2026 · CIE IAL | Q9 Area Under Curve and Normal Line - CIE A-Level Maths 2026 Jun Paper 12 Q9 |
FRQ | 2 parts ((a), (b)) | 11 | Medium | Go to Practice Hub |
| 9709/13May/June 2026 · CIE IAL | Q8 Area Under Curve with Unknown Bound - CIE Pure Mathematics 2026 Jun Q8 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/15May/June 2026 · CIE IAL | Q10 Area of Shaded Region Between Line and Curve - CIE Pure Mathematics 2026 Jun Paper 15 Q10 |
FRQ | 1 part | 7 | Hard | Go to Practice Hub |
| 9709/11October/November 2025 · CIE IAL | Q8 Area and Volume of Revolution - CIE Pure Mathematics Q8 |
FRQ | 2 parts ((a), (b)) | 7 | Medium | Go to Practice Hub |
| 9709/12October/November 2025 · CIE IAL | Q5 Stationary Point and Shaded Area under Curve - CIE A-Level Maths 2025 Nov Paper 12 Q5 |
FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2025 · CIE IAL | Q9 Volume of Revolution - CIE A-Level Maths 2025 Q9 |
FRQ | 1 part | 8 | Hard | Go to Practice Hub |
| 9709/15October/November 2025 · CIE IAL | Q8 Volume of Revolution Inequality - CIE Mathematics 2025 Nov Paper 15 Q8 |
FRQ | 1 of 2 parts ((a)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/15October/November 2025 · CIE IAL | Q11 Tangent and Area Bounded by Cubic Curve - CIE Mathematics 2025 Nov Paper 15 Q11 |
FRQ | 1 of 4 parts ((b)) | 6 of 14 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2025 · CIE IAL | Q4 Area Between Curve and Line - CIE Pure Mathematics 2025 Jun Paper 11 Q4 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/12May/June 2025 · CIE IAL | Q6 Area Between Curve and Line - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q6 |
FRQ | 1 part | 6 | Medium | Go to Practice Hub |
| 9709/15May/June 2025 · CIE IAL | Q4 Volume of Revolution - CIE A-Level Mathematics 2025 Jun Paper 15 Q4 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/11October/November 2024 · CIE IAL | Q7 Tangent and Area Under Curve - CIE Mathematics 2024 Nov Paper 11 Q7 |
FRQ | 1 of 2 parts ((b)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2024 · CIE IAL | Q7 Quadratic Vertex and Area Bounded by Line - CIE A-Level Maths 2024 Nov Paper 12 Q7 |
FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/13October/November 2024 · CIE IAL | Q9 Area Between Two Cubic Curves - CIE Pure Mathematics 2024 Nov Paper 13 Q9 |
FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2024 · CIE IAL | Q9 Volume of Revolution of Shaded Region - CIE Pure Mathematics 1 2024 Jun Q9 |
FRQ | 1 part | 6 | Hard | Go to Practice Hub |
| 9709/12May/June 2024 · CIE IAL | Q6 Stationary Points and Area Between Curve and Line - CIE P1 2024 Jun Q6 |
FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2024 · CIE IAL | Q9 Tangent Equation and Volume of Revolution - CIE 9709 s24 qp 13 Q9 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2024 · CIE IAL | Q11 Stationary Points and Area Under Curve - CIE Pure Mathematics 1 2024 March Paper 12 Q11 |
FRQ | 1 of 2 parts ((b)) | 7 of 11 on the paper |
Hard | Go to Practice Hub |
| 9709/11October/November 2023 · CIE IAL | Q8 Area Between Curves with Substitution - CIE Mathematics 2023 Nov Paper 11 Q8 |
FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2023 · CIE IAL | Q9 Area Between Intersecting Curves - CIE 9709 P12 2023 Nov Q9 |
FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2023 · CIE IAL | Q11 Stationarity and Area Between Curve and Line - CIE A-Level Maths 2023 Nov Paper 13 Q11 |
FRQ | 1 of 2 parts ((b)) | 6 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2023 · CIE IAL | Q10 Volume of Revolution and Tangent Triangle Area - CIE 9709 Pure Mathematics June 2023 Paper 11 Q10 |
FRQ | 1 of 2 parts ((a)) | 5 of 11 on the paper |
Hard | Go to Practice Hub |
| 9709/12May/June 2023 · CIE IAL | Q5 Area Under Curve - CIE Math 2023 Jun Paper 12 Q5 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/13May/June 2023 · CIE IAL | Q10 Curve Differentiation Normal and Area - CIE Pure Mathematics 1 2023 Jun Q10 |
FRQ | 1 of 3 parts ((c)) | 5 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2022 · CIE IAL | Q11 Area Between Curves and Connected Rates of Change - CIE Pure Mathematics 2022 Nov Paper 12 Q11 |
FRQ | 1 of 3 parts ((b)) | 5 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2022 · CIE IAL | Q10 Circle Line Intersection and Volume of Revolution - CIE A-Level Maths 2022 Nov Paper 13 Q10 |
FRQ | 1 of 3 parts ((b)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2022 · CIE IAL | Q7 Intersection and Area Between Curve and Line - CIE 9709 s22 qp 11 Q7 |
FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2022 · CIE IAL | Q6 Area Bounded by Curve and Line - CIE P1 2022 Jun Q6 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/13May/June 2022 · CIE IAL | Q8 Area Between Curve and Line - CIE Pure Mathematics 2022 Jun Paper 13 Q8 |
FRQ | 1 of 2 parts ((b)) | 4 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/12March 2022 · CIE IAL | Q8 Volume of Revolution of Circle Segment - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q8 |
FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/11October/November 2021 · CIE IAL | Q10 Improper Integral, Volume of Revolution and Normal Line - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q10 |
FRQ | 1 of 3 parts ((b)) | 4 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2021 · CIE IAL | Q11 Normal Line Intersect and Integration Area - CIE Pure Mathematics 2021 Nov Paper 12 Q11 |
FRQ | 1 of 2 parts ((b)) | 6 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2021 · CIE IAL | Q8 Area Between Curves and Line Normal - CIE A-Level Mathematics 2021 Nov Paper 13 Q8 |
FRQ | 1 of 2 parts ((a)) | 6 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2021 · CIE IAL | Q11 Calculus of Square Root Curve - CIE 9709 P1 2021 Jun Q11 |
FRQ | 1 of 4 parts ((d)) | 4 of 14 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2021 · CIE IAL | Q9 Volume of Revolution - CIE A-Level Maths 2021 Jun P12 Q9 |
FRQ | 1 part | 6 | Hard | Go to Practice Hub |
| 9709/13May/June 2021 · CIE IAL | Q11 Stationary Point, Tangent, and Area Under Curve - CIE P1 2021 Jun Q11 |
FRQ | 1 of 3 parts ((c)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2021 · CIE IAL | Q11 Curve Analysis Integration and Stationary Points - CIE Pure Mathematics 2021 Mar Paper 12 Q11 |
FRQ | 1 of 4 parts ((d)) | 4 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2020 · CIE IAL | Q10 Calculus of Rational Function - CIE 9709 Nov 2020 Paper 12 Q10 |
FRQ | 1 of 3 parts ((c)) | 2 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2020 · CIE IAL | Q11 Volume of Revolution Bounded Region - CIE Pure Mathematics 2020 Jun Paper 11 Q11 |
FRQ | 1 of 2 parts ((b)) | 6 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2020 · CIE IAL | Q8 Volume of Revolution About Y-Axis - CIE P1 2020 Jun Q8 |
FRQ | 1 of 2 parts ((a)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2020 · CIE IAL | Q11 Area Between Curve and Line - CIE Pure Mathematics 2020 June Paper 13 Q11 |
FRQ | 1 of 2 parts ((b)) | 7 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2020 · CIE IAL | Q3 Volume of Revolution About Y-Axis - CIE A-Level Maths 2020 Mar Paper 12 Q3 |
FRQ | 1 part | 4 | Easy | Go to Practice Hub |
Related topic questions in Integration
• evaluate definite integrals
182 marks · 2020–2026
• solve problems involving the evaluation of a constant of integration
146 marks · 2020–2026
• understand integration as the reverse process of differentiation, and integrate (for any rational except –1), together with constant multiples, sums and differences
206 marks · 2020–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 43 question stems cover this subtopic across 42 papers, but only 45 tagged parts and 226 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.