# Topic Questions: • recognise when an integrand can usefully be regarded as a product, and use integration by parts — 9709 P3 Integration

> 36 9709 P3 Integration topic questions (209 marks) on recognise when an integrand can usefully be… — 35 papers, 2020–2026. Open the exact question in the…

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CIE IAL · Mathematics · 9709 P3 · Integration

36 9709 P3 Integration topic questions are tagged to this syllabus point across 35 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.

- 36 topic questions
- 35 papers
- 209 tagged marks
- 31.6% of topic questions
- 32.1% 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 35 9709 P3 papers across 2020–2026, contributing 36 topic questions and 209 marks.** The most recent appearance is 9709/31 May/June 2026. That equals 31.6% of the 114 topic questions and 32.1% 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 |
| --- | --- | --- | --- | --- | --- | --- |
| [**9709/31** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2026-may-june-9709-31/#q-8) | **Q8** Integration by Parts - CIE Pure Mathematics 2026 Q8 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5a21f0d9-d2ad-4ffc-9254-eb21daddd8fc&question_id=f665f638-8aa0-42fa-9274-7e84ac23f233&source_detail=9709%2F31+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-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) |
| [**9709/33** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2026-may-june-9709-33/#q-10) | **Q10** Differential Equation with Integration by Parts - CIE Pure Mathematics 2026 Q10 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1cab28c8-892b-458b-b5a9-59aac0e92474&question_id=40f25899-2f00-4ed5-abc6-9ffff37f1ff4&source_detail=9709%2F33+May%2FJune+2026) |
| [**9709/32** March 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2026-march-9709-32/#q-8) | **Q8** Separable First-Order Differential Equation - CIE P3 2026 Mar Q8 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0fd758f5-8815-4e29-a05d-65b87156efed&question_id=793b5284-9673-4a16-8566-0771390cf66e&source_detail=9709%2F32+March+2026) |
| [**9709/31** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-31/#q-1) | **Q1** Integration by Parts of ln(3x) - CIE Pure Mathematics 2025 Nov Q1 | FRQ | 1 part | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7ffa0858-5cbd-490e-9150-de28164f7cda&question_id=ce1e6a02-247f-4e80-bd57-a3ced46e20e6&source_detail=9709%2F31+October%2FNovember+2025) |
| [**9709/32** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-32/#q-4) | **Q4** Integration by Parts with Inverse Tangent - CIE A Level Maths 2025 Winter P32 Q4 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d271f67a-f544-4649-81c5-cdf7c8a90ccc&question_id=4b77c708-bcd8-49b6-a142-79f098c42452&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-6) | **Q6** Integration by Parts - CIE Pure Mathematics 2025 Nov Paper 33 Q6 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=17e7e425-f366-4dd8-9a85-08207772196f&question_id=0999ade9-f478-48cc-b31e-4a3f4f3dc803&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-10) | **Q10** Integration by Parts and Numerical Iteration - CIE A Level Mathematics 2025 Winter Paper 35 Q10 | FRQ | 1 of 3 parts ((a)) | 5 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2b303406-630f-44c2-814e-7e47fa277f61&question_id=635a8242-584a-46d8-af73-8a16f33dbc0a&source_detail=9709%2F35+October%2FNovember+2025) |
| [**9709/31** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-may-june-9709-31/#q-9) | **Q9** Integration by Parts and Iterative Formula - CIE Pure Mathematics 2025 Jun Paper 31 Q9 | FRQ | 1 of 3 parts ((a)) | 5 of 10 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d305e649-31d7-4036-b6fa-6295b81b011f&question_id=ee32e643-b120-4418-8e99-3cd320428c69&source_detail=9709%2F31+May%2FJune+2025) |
| [**9709/32** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-may-june-9709-32/#q-10) | **Q10** Polynomial Division and Integration by Parts - CIE A-Level Pure Mathematics 2025 May/June Paper 32 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=b93317c4-369e-4279-a9c6-be0a47e5beeb&question_id=f55e5619-d630-4d61-9c30-e44b20a6fc6a&source_detail=9709%2F32+May%2FJune+2025) |
| [**9709/33** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-may-june-9709-33/#q-10) | **Q10** Separable Differential Equation - CIE A-Level Math 2025 Jun Paper 33 Q10 | FRQ | 1 of 2 parts ((a)) | 8 of 10 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b947d72f-ec97-4d00-ae14-757145ba0aa9&question_id=15a2950e-bcbd-4bc7-a6c3-4b086b857a84&source_detail=9709%2F33+May%2FJune+2025) |
| [**9709/35** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-may-june-9709-35/#q-7) | **Q7** Differentiation and Integration of Inverse Tan Function - CIE A Level Mathematics | FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2cdcf4cc-bb80-426a-8133-c75f6e9636f0&question_id=0c42ca87-fc1c-4a63-88c2-d849f978015f&source_detail=9709%2F35+May%2FJune+2025) |
| [**9709/32** March 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-march-9709-32/#q-11) | **Q11** Integration by Parts - CIE A-Level Math 2025 Mar Paper 32 Q11 | FRQ | 1 part | 6 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ebe23b18-f2b2-4e16-8e60-c5ac5649cb15&question_id=a229ed4d-b1b1-41c1-99ce-a5313fb6e606&source_detail=9709%2F32+March+2025) |
| [**9709/31** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2024-october-november-9709-31/#q-2) | **Q2** Integration by Parts with Logarithms - CIE A-Level Maths 2024 Nov Paper 31 Q2 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=70a34762-5adb-4bbc-a073-ccdcbf562e7c&question_id=31425998-d680-4b4c-873b-b4440cadb888&source_detail=9709%2F31+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-10) | **Q10** Implicit Differentiation and Integration by Parts - CIE A-Level Maths 2024 Jun Paper 31 Q10 | FRQ | 1 of 2 parts ((b)) | 7 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d001bb3e-de7a-4991-8014-a2761a618aba&question_id=b8f77495-d858-44ad-b282-1f42e0ef8e0b&source_detail=9709%2F31+May%2FJune+2024) |
| [**9709/32** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2024-may-june-9709-32/#q-6) | **Q6** Curve Differentiation and Integration by Parts - CIE A Level Mathematics 2024 Jun P32 Q6 | FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b47257e0-776e-40f2-b0b7-69834ea85d57&question_id=4120a39a-9d71-4e28-a085-55653a602924&source_detail=9709%2F32+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-11) | **Q11** Separable Differential Equation with Integration by Parts - CIE 9709 March 2024 Paper 32 Q11 | FRQ | 1 part | 9 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e042eca9-7da3-4a8b-b612-449ce3e020fd&question_id=af1d8d94-bd18-410d-9609-df2205516783&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-9) | **Q9** Stationary Point and Area under Curve - CIE 9709 2023 Nov Paper 32 Q9 | FRQ | 1 of 2 parts ((b)) | 4 of 9 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3fb73dde-04cc-4e60-91c5-1ddfee06f24d&question_id=874f2b9b-a9d0-4f5b-88eb-e2f74673a868&source_detail=9709%2F32+October%2FNovember+2023) |
| [**9709/33** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-october-november-9709-33/#q-10) | **Q10** Integration by Parts Area - CIE A-Level Maths 2023 Q10 | FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=719f9f72-ffe6-4873-b35f-05b84c1bcd86&question_id=8a45efb4-6540-43de-b885-6fca2b9c4b78&source_detail=9709%2F33+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-9) | **Q9** Integration by Parts and Iterative Method - CIE Pure Mathematics 2023 Q9 | FRQ | 1 of 3 parts ((a)) | 5 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=cfca2669-2cc1-43c6-a0cc-6132556376c3&question_id=65c6e2e4-8ab3-4876-9d21-baeea135f8ea&source_detail=9709%2F31+May%2FJune+2023) |
| [**9709/33** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-may-june-9709-33/#q-7) | **Q7** Integration by Substitution and Parts - CIE Pure Mathematics 3 2023 Jun Q7 | FRQ | 1 of 2 parts ((b)) | 4 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=38715021-d2e9-4b06-9487-8984689a84e7&question_id=399da5c7-7b77-4091-a3e1-769667d3d6d4&source_detail=9709%2F33+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-8) | **Q8** Stationary Point and Integration by Parts - CIE Pure Mathematics 2023 Mar Paper 32 Q8 | FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fb85986e-2f5e-482c-8e08-173425b67cc3&question_id=83895328-7c29-4985-9114-b1357ecb40cf&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-8) | **Q8** Area Under Curve with Substitution and Parts - CIE Pure Mathematics 2022 Nov Paper 32 Q8 | FRQ | 1 of 2 parts ((b)) | 7 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ec345ecb-a979-44f7-9e14-294a778ff934&question_id=e8635ee0-3cd1-4778-9741-dd263cb5ccb7&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-3) | **Q3** Integration by Parts with Trigonometric Function - CIE Pure Mathematics 3 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=955ef535-8636-46dc-9b2a-f083375bbec1&question_id=5dca37cc-354e-4c10-bef9-26d7769d707b&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-6) | **Q6** Separable Differential Equation - CIE Mathematics 2022 Jun Q6 | FRQ | 1 of 2 parts ((a)) | 7 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6ad396ce-ab9f-4c82-bba2-087b907a1ea1&question_id=e5fdf76f-f2e0-49fe-a85c-887146d005f4&source_detail=9709%2F32+May%2FJune+2022) |
| [**9709/33** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-may-june-9709-33/#q-10) | **Q10** Integration by Parts and Iterative Formula - CIE A Level Mathematics 2022 Jun Paper 33 Q10 | FRQ | 1 of 3 parts ((a)) | 5 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9659571c-b4b6-458e-b3ff-de05ece281b2&question_id=fdd8897e-ea5c-4428-ad66-d827661d83b6&source_detail=9709%2F33+May%2FJune+2022) |
| [**9709/32** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-october-november-9709-32/#q-7) | **Q7** Separable Differential Equation - CIE A-Level Mathematics 2021 Nov Paper 32 Q7 | FRQ | 1 part | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e143fbb0-4c0c-42bd-8875-d51f745a2eeb&question_id=296a478b-b2ea-4053-a4f6-2f997a15963c&source_detail=9709%2F32+October%2FNovember+2021) |
| [**9709/33** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-october-november-9709-33/#q-4) | **Q4** Integration by Parts - CIE 9709 W21 P33 Q4 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3dab83de-45d8-4d88-a013-44ac3c4045e2&question_id=458e3479-5ffc-4b66-b644-6bf80a798b30&source_detail=9709%2F33+October%2FNovember+2021) |
| [**9709/31** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-may-june-9709-31/#q-9) | **Q9** Curve Integration by Parts - CIE Mathematics 2021 Jun Paper 31 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=3c0392b5-afcc-4c08-8c90-18e99517d45c&question_id=01cb757d-9959-4624-8753-e0417bda1d8f&source_detail=9709%2F31+May%2FJune+2021) |
| [**9709/32** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-may-june-9709-32/#q-4) | **Q4** Integration by Parts of Inverse Tan - CIE 9709 2021 Jun Paper 32 Q4 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=193dfa4e-69a9-4d3a-8797-abee668ebcf8&question_id=20a7ba42-d5ff-4d99-b70d-3a277d69b00f&source_detail=9709%2F32+May%2FJune+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-8) | **Q8** Integration by Parts and Inequality - CIE 9709 2021 Jun Paper 33 Q8 | FRQ | 1 of 2 parts ((b)) | 6 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=279950d4-e630-466e-8074-e1e13ad3f5e6&question_id=f13d3bff-fb0e-4745-b73b-7914c9977216&source_detail=9709%2F33+May%2FJune+2021) |
| [**9709/31** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-october-november-9709-31/#q-10) | **Q10** Stationary Point and Integration by Parts - CIE 9709 W20 P31 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=6d3dbf03-a763-4245-9cd4-e9bb82088912&question_id=807dfb00-35d1-4fe9-8266-066044ae2bb9&source_detail=9709%2F31+October%2FNovember+2020) |
| [**9709/33** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-october-november-9709-33/#q-10) | **Q10** Stationary Point and Area under Curve - CIE Pure Mathematics 2020 Nov Paper 33 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=086627cb-e617-484f-abc7-431aab41e928&question_id=6e8d8d45-55f9-4ce5-8782-8da03362b488&source_detail=9709%2F33+October%2FNovember+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-2) | **Q2** Integration by Parts - CIE Pure Mathematics 2020 Jun Q2 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ff5efdae-7baa-4c33-aa9c-f8b1c25c428d&question_id=4c1bc7e0-ba33-4253-9a07-653d24a61ec8&source_detail=9709%2F33+May%2FJune+2020) |
| [**9709/32** March 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-march-9709-32/#q-4) | **Q4** Definite Integration by Parts - CIE Pure Mathematics 3 March 2020 Q4 | FRQ | 1 part | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=11f225a5-63c6-446a-9114-463175a53c07&question_id=62346cdb-d4ef-402f-8333-1cac649e8608&source_detail=9709%2F32+March+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
- [• integrate rational functions by means of decomposition into partial fractions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/integrate-rational-functions-by-means-of-decomposition-into-partial-fractions/) — 24 question items · 21 papers — 138 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
- [• 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?**

36 question stems cover this subtopic across 35 papers, but only 36 tagged parts and 209 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/recognise-when-an-integrand-can-usefully-be-regarded-as-a-product-and-use-integration/