# Topic Questions: • integrate rational functions by means of decomposition into partial fractions — 9709 P3 Integration

> 24 9709 P3 Integration topic questions (138 marks) on integrate rational functions by means of… — 21 papers, 2020–2026. Open the exact question in the…

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CIE IAL · Mathematics · 9709 P3 · Integration

24 9709 P3 Integration topic questions are tagged to this syllabus point across 21 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.

- 24 topic questions
- 21 papers
- 138 tagged marks
- 21.1% of topic questions
- 21.2% of topic marks
- 2020–2026
- Syllabus 2020–2027
- [All 9709 P3 Integration topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**This Integration syllabus point appears in 21 9709 P3 papers across 2020–2026, contributing 24 topic questions and 138 marks.** The most recent appearance is 9709/32 May/June 2026. That equals 21.1% of the 114 topic questions and 21.2% of the 651 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 |
| --- | --- | --- | --- | --- | --- | --- |
| [**9709/32** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2026-may-june-9709-32/#q-6) | **Q6** Differentiation and Integration of Inverse Tangent - CIE A Level Mathematics 2026 June Paper 32 Q6 | FRQ | 1 of 2 parts ((b)) | 6 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d6e975a2-e88a-4b40-82f8-1078f926f377&question_id=2bb3c67e-86a5-49a4-a6bb-743bfd421efc&source_detail=9709%2F32+May%2FJune+2026) |
| [**9709/32** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2026-may-june-9709-32/#q-10) | **Q10** Partial Fractions and Differential Equations - CIE A Level Mathematics 2026 June Paper 32 Q10 | FRQ | 1 of 2 parts ((b)) | 7 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d6e975a2-e88a-4b40-82f8-1078f926f377&question_id=e43fa509-f3b1-44f8-9f10-e703c292a3d7&source_detail=9709%2F32+May%2FJune+2026) |
| [**9709/32** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-32/#q-9) | **Q9** Improper Rational Function Partial Fractions and Definite Integral - CIE A Level Maths 2025 Winter P32 Q9 | FRQ | 1 of 2 parts ((b)) | 4 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d271f67a-f544-4649-81c5-cdf7c8a90ccc&question_id=38264121-5fe7-47b7-aaae-27695b94aa37&source_detail=9709%2F32+October%2FNovember+2025) |
| [**9709/33** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-33/#q-10) | **Q10** Partial Fractions and Differential Equation - CIE Pure Mathematics 2025 Nov Paper 33 Q10 | FRQ | 1 of 2 parts ((b)) | 6 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=17e7e425-f366-4dd8-9a85-08207772196f&question_id=080b778a-ba62-4f9a-b8fc-baea5a7ff60e&source_detail=9709%2F33+October%2FNovember+2025) |
| [**9709/35** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-35/#q-11) | **Q11** Logistic Growth Differential Equation - CIE A Level Mathematics 2025 Winter Paper 35 Q11 | FRQ | 1 of 2 parts ((b)) | 8 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2b303406-630f-44c2-814e-7e47fa277f61&question_id=5ce235a8-f875-4b0d-ae70-b7d5d734b553&source_detail=9709%2F35+October%2FNovember+2025) |
| [**9709/32** March 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-march-9709-32/#q-10) | **Q10** Partial Fractions and Exact Definite Integration - CIE A-Level Math 2025 Mar Paper 32 Q10 | FRQ | 1 of 2 parts ((b)) | 6 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ebe23b18-f2b2-4e16-8e60-c5ac5649cb15&question_id=37374358-efb5-4b70-9902-1cd7bccf0980&source_detail=9709%2F32+March+2025) |
| [**9709/33** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2024-october-november-9709-33/#q-9) | **Q9** Polynomial Division and Integration - CIE A-Level Pure Mathematics 2024 Nov Q9 | FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=eea0ef07-a2e6-40ec-b1f1-0940ce02a199&question_id=ce77bf89-698c-4531-b89e-4f0044c4078d&source_detail=9709%2F33+October%2FNovember+2024) |
| [**9709/31** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2024-may-june-9709-31/#q-11) | **Q11** Differential Equation Modeling Plant Disease - CIE A-Level Maths 2024 Jun Paper 31 Q11 | FRQ | 1 of 2 parts ((b)) | 9 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d001bb3e-de7a-4991-8014-a2761a618aba&question_id=56e0c17b-d3a8-4a89-828f-fab85e4576c3&source_detail=9709%2F31+May%2FJune+2024) |
| [**9709/32** March 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2024-march-9709-32/#q-10) | **Q10** Integration using Partial Fractions with Parameter - CIE 9709 March 2024 Paper 32 Q10 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e042eca9-7da3-4a8b-b612-449ce3e020fd&question_id=138b6849-059a-48f2-a82c-3e8ecc2b7172&source_detail=9709%2F32+March+2024) |
| [**9709/32** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-october-november-9709-32/#q-5) | **Q5** Integration of Rational Function - CIE 9709 2023 Nov Paper 32 Q5 | FRQ | 1 part | 6 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3fb73dde-04cc-4e60-91c5-1ddfee06f24d&question_id=d4259eec-05b3-427a-b126-9ac7591c55d3&source_detail=9709%2F32+October%2FNovember+2023) |
| [**9709/32** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-october-november-9709-32/#q-11) | **Q11** Separable Differential Equation Solution and Limit - CIE 9709 2023 Nov Paper 32 Q11 | FRQ | 1 of 2 parts ((a)) | 8 of 9 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3fb73dde-04cc-4e60-91c5-1ddfee06f24d&question_id=32339f78-4373-4d23-baac-1acf027a0def&source_detail=9709%2F32+October%2FNovember+2023) |
| [**9709/31** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-may-june-9709-31/#q-8) | **Q8** Partial Fractions and Integration - CIE Pure Mathematics 2023 Q8 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=cfca2669-2cc1-43c6-a0cc-6132556376c3&question_id=47a84a14-d21e-45db-b078-e7f3c8d0b15a&source_detail=9709%2F31+May%2FJune+2023) |
| [**9709/32** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-may-june-9709-32/#q-9) | **Q9** Partial Fractions Decomposition and Definite Integration - CIE Pure Mathematics 2023 Q9 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=07774ae7-6d21-4646-8307-908dbae6fe03&question_id=d1686476-6fa3-48f8-8bf8-a37a887f2e54&source_detail=9709%2F32+May%2FJune+2023) |
| [**9709/32** March 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-march-9709-32/#q-11) | **Q11** Partial Fractions Decomposition and Integration - CIE Pure Mathematics 2023 Mar Paper 32 Q11 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fb85986e-2f5e-482c-8e08-173425b67cc3&question_id=74564746-d9aa-4ead-8295-3b08f49688c8&source_detail=9709%2F32+March+2023) |
| [**9709/32** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-october-november-9709-32/#q-10) | **Q10** Partial Fractions Decomposition and Integration - CIE Pure Mathematics 2022 Nov Paper 32 Q10 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ec345ecb-a979-44f7-9e14-294a778ff934&question_id=17ff30b3-1922-4081-b343-91eb83fdf2d9&source_detail=9709%2F32+October%2FNovember+2022) |
| [**9709/33** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-october-november-9709-33/#q-11) | **Q11** Partial Fractions and Integration - CIE Pure Mathematics 3 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=955ef535-8636-46dc-9b2a-f083375bbec1&question_id=c96772cd-169e-4b27-a5e3-46f149743262&source_detail=9709%2F33+October%2FNovember+2022) |
| [**9709/32** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-may-june-9709-32/#q-8) | **Q8** Partial Fractions and Integration - CIE Mathematics 2022 Jun Q8 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6ad396ce-ab9f-4c82-bba2-087b907a1ea1&question_id=84a2a95d-8834-47e4-bae3-145cf6aa8b2f&source_detail=9709%2F32+May%2FJune+2022) |
| [**9709/32** March 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-march-9709-32/#q-8) | **Q8** Polynomial Division and Integration - CIE A Level Mathematics 2022 Mar Paper 32 Q8 | FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=494ba528-51f5-41a2-babf-2cc4c40fecf4&question_id=a039a4b7-28fc-49a0-bb8d-63523d1aa255&source_detail=9709%2F32+March+2022) |
| [**9709/32** March 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-march-9709-32/#q-9) | **Q9** Separable Differential Equation with Partial Fractions - CIE A Level Mathematics 2022 Mar Paper 32 Q9 | FRQ | 1 part | 9 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=494ba528-51f5-41a2-babf-2cc4c40fecf4&question_id=84d7e9d7-5bc2-447a-90c6-bf244e92f308&source_detail=9709%2F32+March+2022) |
| [**9709/33** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-october-november-9709-33/#q-9) | **Q9** Stationary Point and Integration by Substitution - CIE 9709 W21 P33 Q9 | FRQ | 1 of 2 parts ((b)) | 6 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3dab83de-45d8-4d88-a013-44ac3c4045e2&question_id=35b5f51c-df6d-48a7-b5ce-31b852cd52a1&source_detail=9709%2F33+October%2FNovember+2021) |
| [**9709/33** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-may-june-9709-33/#q-4) | **Q4** Partial Fractions Integration - CIE 9709 2021 Jun Paper 33 Q4 | FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=279950d4-e630-466e-8074-e1e13ad3f5e6&question_id=8755c620-b7b4-49f2-8c32-42c9fe821ae4&source_detail=9709%2F33+May%2FJune+2021) |
| [**9709/32** March 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-march-9709-32/#q-6) | **Q6** Partial Fractions and Integration - CIE A-Level Mathematics 2021 March Paper 32 Q6 | FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ab7133da-61cb-4438-b5f6-ad6909bb250e&question_id=a3808012-f08e-472f-80ed-1fbd03f0155a&source_detail=9709%2F32+March+2021) |
| [**9709/31** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-may-june-9709-31/#q-5) | **Q5** Polynomial Division and Integration - CIE 2020 Jun Paper 31 Q5 | FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=30d827e6-7a05-4ddb-93bb-64f6a01bb238&question_id=7ff56cd1-70ea-4731-8d80-200ef49e2fda&source_detail=9709%2F31+May%2FJune+2020) |
| [**9709/33** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-may-june-9709-33/#q-7) | **Q7** Partial Fractions and Integration of Rational Functions - CIE Pure Mathematics 2020 Jun Q7 | FRQ | 1 of 3 parts ((c)) | 5 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ff5efdae-7baa-4c33-aa9c-f8b1c25c428d&question_id=ea2ad73c-733d-4aeb-94ae-d120da9e21f5&source_detail=9709%2F33+May%2FJune+2020) |

## Related topic questions in Integration

- [• extend the idea of ‘reverse differentiation’ to include the integration of $\mathrm{e}^{ax+b}$, $\frac{1}{ax+b}$, $\sin(ax+b)$, $\cos(ax+b)$, $\sec^2(ax+b)$ and $\frac{1}{x^2+a^2}$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/extend-the-idea-of-reverse-differentiation-to-include-the-integration-of-mathrm-e-ax/) — 35 question items · 29 papers — 197 marks · 2020–2026
- [• recognise an integrand of the form $\frac{k\mathrm{f}'(x)}{\mathrm{f}(x)}$, and integrate such functions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/recognise-an-integrand-of-the-form-frac-k-mathrm-f-x-mathrm-f-x-and-integrate-such/) — 12 question items · 12 papers — 76 marks · 2020–2026
- [• recognise when an integrand can usefully be regarded as a product, and use integration by parts](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/recognise-when-an-integrand-can-usefully-be-regarded-as-a-product-and-use-integration/) — 36 question items · 35 papers — 209 marks · 2020–2026
- [• use a given substitution to simplify and evaluate either a definite or an indefinite integral](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/use-a-given-substitution-to-simplify-and-evaluate-either-a-definite-or-an-indefinite/) — 16 question items · 15 papers — 87 marks · 2021–2026
- [• use trigonometrical relationships in carrying out integration](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/use-trigonometrical-relationships-in-carrying-out-integration/) — 23 question items · 20 papers — 128 marks · 2021–2026

## Topic question rules and edge cases

**How many topic questions cover this syllabus point?**

24 question stems cover this subtopic across 21 papers, but only 24 tagged parts and 138 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.

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Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/integrate-rational-functions-by-means-of-decomposition-into-partial-fractions/