CIE IAL · Mathematics · 9709 P3 · Integration
Topic Questions: • use trigonometrical relationships in carrying out integration — 9709 P3 Integration
23 9709 P3 Integration topic questions are tagged to this syllabus point across 20 papers (2021–2026). 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 20 9709 P3 papers across 2021–2026, contributing 23 topic questions and 128 marks. The most recent appearance is 9709/32 March 2026. That equals 20.2% of the 114 topic questions and 19.7% 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 |
|---|---|---|---|---|---|---|
| 9709/32March 2026 · CIE IAL | Q3 Definite Integration of Trigonometric Product - CIE P3 2026 Mar Q3 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/32March 2026 · CIE IAL | Q9 Integration by Trigonometric Substitution - CIE P3 2026 Mar Q9 |
FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/32October/November 2025 · CIE IAL | Q8 Multiple Angle Trigonometric Identity and Definite Integration - CIE A Level Maths 2025 Winter P32 Q8 |
FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2025 · CIE IAL | Q11 Stationary Point and Volume of Revolution - CIE Pure Mathematics 2025 Jun Paper 31 Q11 |
FRQ | 1 of 2 parts ((b)) | 5 of 11 on the paper |
Hard | Go to Practice Hub |
| 9709/33May/June 2025 · CIE IAL | Q3 Definite Trigonometric Integral - CIE A-Level Math 2025 Jun Paper 33 Q3 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/33May/June 2025 · CIE IAL | 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 |
| 9709/32March 2025 · CIE IAL | Q6 Separable Differential Equation with Trigonometric Integration - CIE A-Level Math 2025 Mar Paper 32 Q6 |
FRQ | 1 part | 7 | Medium | Go to Practice Hub |
| 9709/31October/November 2024 · CIE IAL | Q6 Trigonometric Stationary Point and Area Under Curve - CIE A-Level Maths 2024 Nov Paper 31 Q6 |
FRQ | 1 of 2 parts ((b)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2024 · CIE IAL | Q8 Integration by Substitution - CIE A-Level Maths 2024 Jun Paper 31 Q8 |
FRQ | 1 part | 7 | Hard | Go to Practice Hub |
| 9709/32May/June 2024 · CIE IAL | Q7 Trigonometric Identity Proof and Definite Integration - CIE A Level Mathematics 2024 Jun P32 Q7 |
FRQ | 1 of 2 parts ((b)) | 6 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2024 · CIE IAL | Q8 R-cos Harmonic Form Integration - CIE A-Level Pure Mathematics |
FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2024 · CIE IAL | Q11 Definite Integration by Trigonometric Substitution - CIE A-Level Pure Mathematics |
FRQ | 1 part | 9 | Hard | Go to Practice Hub |
| 9709/32March 2024 · CIE IAL | Q11 Separable Differential Equation with Integration by Parts - CIE 9709 March 2024 Paper 32 Q11 |
FRQ | 1 part | 9 | Hard | Go to Practice Hub |
| 9709/32October/November 2023 · CIE IAL | 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 |
| 9709/31May/June 2023 · CIE IAL | Q7 Separable Differential Equation - CIE Pure Mathematics 2023 Q7 |
FRQ | 1 part | 8 | Hard | Go to Practice Hub |
| 9709/33May/June 2023 · CIE IAL | Q7 Integration by Substitution and Parts - CIE Pure Mathematics 3 2023 Jun Q7 |
FRQ | 1 of 2 parts ((a)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/32March 2023 · CIE IAL | Q9 Differential Equation with Variable Separation - CIE Pure Mathematics 2023 Mar Paper 32 Q9 |
FRQ | 1 part | 7 | Medium | Go to Practice Hub |
| 9709/32October/November 2022 · CIE IAL | Q7 Trigonometric Derivative and Differential Equation - CIE Pure Mathematics 2022 Nov Paper 32 Q7 |
FRQ | 1 of 2 parts ((b)) | 7 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2022 · CIE IAL | Q6 Integration by Trigonometric Substitution - CIE Pure Mathematics 2022 Jun Paper 31 Q6 |
FRQ | 1 of 2 parts ((b)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/32March 2022 · CIE IAL | Q11 Stationary Point and Integration by Substitution - CIE A Level Mathematics 2022 Mar Paper 32 Q11 |
FRQ | 1 of 2 parts ((b)) | 5 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/32October/November 2021 · CIE IAL | Q6 Trigonometric Product-to-Sum Integration - CIE A-Level Mathematics 2021 Nov Paper 32 Q6 |
FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2021 · CIE IAL | Q4 Double Angle Trigonometric Integration - CIE Mathematics 2021 Jun Paper 31 Q4 |
FRQ | 1 of 2 parts ((b)) | 4 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/32May/June 2021 · CIE IAL | Q6 Trigonometric Identity and Integration - CIE 9709 2021 Jun Paper 32 Q6 |
FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
Related topic questions in Integration
• extend the idea of ‘reverse differentiation’ to include the integration of , , , , and
197 marks · 2020–2026
• integrate rational functions by means of decomposition into partial fractions
138 marks · 2020–2026
• recognise an integrand of the form , and integrate such functions
76 marks · 2020–2026
• recognise when an integrand can usefully be regarded as a product, and use integration by parts
209 marks · 2020–2026
• use a given substitution to simplify and evaluate either a definite or an indefinite integral
87 marks · 2021–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 23 question stems cover this subtopic across 20 papers, but only 23 tagged parts and 128 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 2021–2026. 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.