# Topic Questions: • understand and use the trapezium rule to estimate the value of a definite integral — 9709 P2 Integration > 17 9709 P2 Integration topic questions (41 marks) on understand and use the trapezium rule to estimate… — 10 papers, 2020–2026. Open the exact question in… - Canonical HTML: https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/understand-and-use-the-trapezium-rule-to-estimate-the-value-of-a-definite-integral/ - Markdown mirror: https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/understand-and-use-the-trapezium-rule-to-estimate-the-value-of-a-definite-integral/index.md --- CIE IAL · Mathematics · 9709 P2 · Integration 17 9709 P2 Integration topic questions are tagged to this syllabus point across 10 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. - 17 topic questions - 10 papers - 41 tagged marks - 14.2% of topic questions - 8.2% of topic marks - 2020–2026 - Syllabus 2020–2027 - [All 9709 P2 Integration topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Integration syllabus point appears in 10 9709 P2 papers across 2020–2026, contributing 17 topic questions and 41 marks.** The most recent appearance is 9709/21 May/June 2026. That equals 14.2% of the 120 topic questions and 8.2% of the 499 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 | | --- | --- | --- | --- | --- | --- | --- | | [**9709/21** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2026-may-june-9709-21/#q-3) | **Q3** Trapezium Rule Estimation - CIE A Level Maths 2026 Jun Paper 21 Q3 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=be6f9351-4b56-44f4-a190-4c173afbab5c&question_id=62bd7d07-92e8-41d4-8be1-9fee702d872d&source_detail=9709%2F21+May%2FJune+2026) | | [**9709/22** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2024-october-november-9709-22/#q-6) | **Q6** Trapezium Rule and Area Bounded by Curves - CIE Pure Maths 2024 Nov Paper 22 Q6 | FRQ | 3 of 4 parts ((a), (c), (d)) | 6 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0904e585-d89a-413e-b330-5ca7eecd992d&question_id=3dedeff2-f261-47fa-9c30-0bf41dd33319&source_detail=9709%2F22+October%2FNovember+2024) | | [**9709/21** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2024-may-june-9709-21/#q-6) | **Q6** Trapezium Rule and Volume of Revolution - CIE 9709 2024 Jun Paper 21 Q6 | FRQ | 1 of 2 parts ((a)) | 3 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3464c125-e85d-44d4-bdd2-32e4a5934b26&question_id=ad9311c4-7f20-4dfc-99b3-38a88d515155&source_detail=9709%2F21+May%2FJune+2024) | | [**9709/22** March 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2024-march-9709-22/#q-4) | **Q4** Trapezium Rule and Volume of Revolution - CIE 9709 March 2024 Paper 22 Q4 | FRQ | 1 of 2 parts ((a)) | 3 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=4e19c59f-2ff8-4fea-8c60-c0d2231e34bf&question_id=c73146f2-c1c9-479a-984a-fe2f0dc58e24&source_detail=9709%2F22+March+2024) | | [**9709/21** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2022-october-november-9709-21/#q-7) | **Q7** Logarithmic Curve Differentiation and Trapezium Rule - CIE Pure Mathematics 2022 Nov Paper 21 Q7 | FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=69adb289-4fff-4b6d-8661-80adee6ac499&question_id=09894319-7a03-4325-8788-9d3404987bdc&source_detail=9709%2F21+October%2FNovember+2022) | | [**9709/23** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2022-october-november-9709-23/#q-7) | **Q7** Stationary Points and Trapezium Rule on Logarithmic Curve - CIE Pure Mathematics 2022 Nov Paper 23 Q7 | FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=63ddbc4e-2b11-4af4-9085-1e4f522561f1&question_id=a5bff68e-d5da-4579-bf0e-5ab2d0c10e14&source_detail=9709%2F23+October%2FNovember+2022) | | [**9709/23** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2022-may-june-9709-23/#q-4) | **Q4** Trapezium Rule with Logarithms - CIE P2 2022 Jun Q4 | FRQ | 2 parts ((a), (b)) | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=11942891-33a9-4c3a-b252-567ad1ff81c6&question_id=e5c21905-2dc3-4b7a-8bf4-a695cc5b7a16&source_detail=9709%2F23+May%2FJune+2022) | | [**9709/21** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2021-may-june-9709-21/#q-6) | **Q6** Trapezium Rule and Area Between Curves - CIE 9709 P21 2021 Jun Q6 | FRQ | 3 of 4 parts ((a), (c), (d)) | 6 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=494b1fa8-6a0d-40e7-b32e-99e138b84ea7&question_id=42b27a88-0557-4f43-b862-ae509e1f8b00&source_detail=9709%2F21+May%2FJune+2021) | | [**9709/22** March 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2021-march-9709-22/#q-4) | **Q4** Trapezium Rule and Stationary Point of Rational Function - CIE 9709 March 2021 Paper 22 Q4 | FRQ | 2 of 3 parts ((b), (c)) | 4 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=4d0e0d7f-cb0d-4693-814b-b44deac42ee4&question_id=56ac4134-34d5-4068-bf0f-f16fa1114796&source_detail=9709%2F22+March+2021) | | [**9709/22** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p2/2020-october-november-9709-22/#q-4) | **Q4** Stationary Points and Trapezium Rule Integration - CIE A-Level Pure Mathematics 2020 Nov Paper 22 Q4 | FRQ | 1 of 2 parts ((b)) | 3 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c2cdcfa2-f21a-403c-b726-74c0d9aa9740&question_id=8eeb5cf8-ccc5-430f-b7ce-f41d92618ade&source_detail=9709%2F22+October%2FNovember+2020) | ## Related topic questions in Integration - [• extend the idea of ‘reverse differentiation’ to include the integration of $\mathrm{e}^{ax+b}$, $\frac{1}{ax+b}$, $\sin(ax+b)$, $\cos(ax+b)$ and $\sec^2(ax+b)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/extend-the-idea-of-reverse-differentiation-to-include-the-integration-of-mathrm-e-ax/) — 67 question items · 38 papers — 307 marks · 2020–2026 - [• use trigonometrical relationships in carrying out integration](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/use-trigonometrical-relationships-in-carrying-out-integration/) — 35 question items · 35 papers — 160 marks · 2020–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 10 question stems cover this subtopic across 10 papers, but only 17 tagged parts and 41 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. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/understand-and-use-the-trapezium-rule-to-estimate-the-value-of-a-definite-integral/