CIE IAL · Mathematics · 9709 P1 · Integration

Topic Questions: • understand integration as the reverse process of differentiation, and integrate (for any rational except –1), together with constant multiples, sums and differences — 9709 P1 Integration

47 9709 P1 Integration topic questions are tagged to this syllabus point across 37 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.

47 topic questions 37 papers 206 tagged marks 47.0% of topic questions 44.9% of topic marks 2020–2026 Syllabus 2020–2027

Core finding

This Integration syllabus point appears in 37 9709 P1 papers across 2020–2026, contributing 47 topic questions and 206 marks. The most recent appearance is 9709/11 May/June 2026. That equals 47.0% of the 100 topic questions and 44.9% 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.

PaperQuestionTypePartsMarksDifficultyPractice
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 Q5
Second Derivative and Stationary Points - CIE A-Level Maths 2026 Jun Paper 12 Q5
FRQ 1 part 7 Hard Go to Practice Hub
9709/11October/November 2025 · CIE IAL Q11
Normal Equation and Integration - CIE Pure Mathematics Q11
FRQ 1 of 3 parts ((c)) 5
of 11 on the paper
Medium Go to Practice Hub
9709/12October/November 2025 · CIE IAL Q4
Integration to Find Curve Equation - CIE A-Level Maths 2025 Nov Paper 12 Q4
FRQ 1 of 2 parts ((b)) 5
of 6 on the paper
Easy Go to Practice Hub
9709/11May/June 2025 · CIE IAL Q2
Curve Equation from Gradient - CIE Pure Mathematics 2025 Jun Paper 11 Q2
FRQ 1 of 2 parts ((b)) 4
of 6 on the paper
Easy Go to Practice Hub
9709/12May/June 2025 · CIE IAL Q9
Second Derivative and Normal to Curve - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q9
FRQ 1 of 4 parts ((a)) 3
of 12 on the paper
Easy Go to Practice Hub
9709/13May/June 2025 · CIE IAL Q3
Definite Integral Constant Evaluation - CIE 9709 2025 Jun Paper 13 Q3
FRQ 1 part 4 Medium Go to Practice Hub
9709/13May/June 2025 · CIE IAL Q7
Stationary Points and Curve Integration - CIE 9709 2025 Jun Paper 13 Q7
FRQ 1 of 2 parts ((b)) 4
of 7 on the paper
Medium Go to Practice Hub
9709/15May/June 2025 · CIE IAL Q1
Equation of Curve from Derivative - CIE A-Level Mathematics 2025 Jun Paper 15 Q1
FRQ 1 part 4 Easy Go to Practice Hub
9709/11October/November 2024 · CIE IAL Q5
Finding x-coordinate and Curve Equation from Derivative - CIE Mathematics 2024 Nov Paper 11 Q5
FRQ 1 of 2 parts ((b)) 4
of 7 on the paper
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 Q10
Derivative Integration and Monotonicity - CIE A-Level Maths 2024 Nov Paper 12 Q10
FRQ 1 of 3 parts ((b)) 4
of 10 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 Q9
Decreasing Function and Finding f(x) by Integration - CIE P1 2024 Jun Q9
FRQ 1 of 2 parts ((b)) 4
of 8 on the paper
Medium Go to Practice Hub
9709/13May/June 2024 · CIE IAL Q6
Integration and Transformation of Curve - CIE 9709 s24 qp 13 Q6
FRQ 1 of 2 parts ((a)) 4
of 7 on the paper
Medium Go to Practice Hub
9709/12March 2024 · CIE IAL Q3
Finding Curve Equation from Gradient - CIE Pure Mathematics 1 2024 March Paper 12 Q3
FRQ 1 part 5 Medium 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 Q3
Normal and Curve Equation - CIE 9709 P12 2023 Nov Q3
FRQ 1 of 2 parts ((b)) 4
of 6 on the paper
Easy Go to Practice Hub
9709/13October/November 2023 · CIE IAL Q1
Equation of Curve from Gradient - CIE A-Level Maths 2023 Nov Paper 13 Q1
FRQ 1 part 4 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
9709/11May/June 2023 · CIE IAL Q11
Stationary Points and Curve Integration - CIE 9709 Pure Mathematics June 2023 Paper 11 Q11
FRQ 1 of 4 parts ((c)) 3
of 9 on the paper
Easy Go to Practice Hub
9709/12May/June 2023 · CIE IAL Q1
Equation of Curve from Gradient - CIE Math 2023 Jun Paper 12 Q1
FRQ 1 part 3 Easy Go to Practice Hub
9709/13May/June 2023 · CIE IAL Q9
Curve Integration and Tangent Intersection - CIE Pure Mathematics 1 2023 Jun Q9
FRQ 1 of 3 parts ((a)) 4
of 10 on the paper
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 Q8
FRQ 1 of 3 parts ((a)) 4
of 7 on the paper
Easy Go to Practice Hub
9709/13October/November 2022 · CIE IAL Q7
Derivative, Tangent Gradient and Integration - CIE A-Level Maths 2022 Nov Paper 13 Q7
FRQ 1 of 2 parts ((b)) 3
of 7 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
9709/11May/June 2022 · CIE IAL Q10
Second Derivative Integration and Related Rates - CIE 9709 s22 qp 11 Q10
FRQ 1 of 4 parts ((b)) 5
of 12 on the paper
Medium Go to Practice Hub
9709/12May/June 2022 · CIE IAL Q3
Integration to Find Curve Equation - CIE P1 2022 Jun Q3
FRQ 1 part 4 Medium Go to Practice Hub
9709/13May/June 2022 · CIE IAL Q10
Improper Integral and Rates of Change - CIE Pure Mathematics 2022 Jun Paper 13 Q10
FRQ 1 of 2 parts ((a)) 4
of 10 on the paper
Medium Go to Practice Hub
9709/12March 2022 · CIE IAL Q1
Integration of Fractional Power - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q1
FRQ 1 part 4 Easy Go to Practice Hub
9709/11October/November 2021 · CIE IAL Q9
Integration and Stationary Points Analysis - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q9
FRQ 1 of 4 parts ((a)) 4
of 12 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 ((a)) 4
of 12 on the paper
Medium Go to Practice Hub
9709/12October/November 2021 · CIE IAL Q4
Equation of Curve from Derivative - CIE Pure Mathematics 2021 Nov Paper 12 Q4
FRQ 1 part 4 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 Q10
Stationary Points and Curve Integration - CIE A-Level Mathematics 2021 Nov Paper 13 Q10
FRQ 1 of 3 parts ((b)) 4
of 11 on the paper
Medium Go to Practice Hub
9709/11May/June 2021 · CIE IAL Q1
Curve Equation from Derivative - CIE 9709 P1 2021 Jun Q1
FRQ 1 part 4 Easy Go to Practice Hub
9709/12May/June 2021 · CIE IAL Q11
Stationary Points and Integration - CIE A-Level Maths 2021 Jun P12 Q11
FRQ 1 of 4 parts ((b)) 4
of 10 on the paper
Easy Go to Practice Hub
9709/13May/June 2021 · CIE IAL Q1
Curve Equation from Derivative and Point - CIE P1 2021 Jun Q1
FRQ 1 part 3 Easy Go to Practice Hub
9709/12March 2021 · CIE IAL Q6
Rates of Change and Integration - CIE Pure Mathematics 2021 Mar Paper 12 Q6
FRQ 1 of 2 parts ((b)) 4
of 7 on the paper
Easy Go to Practice Hub
9709/12October/November 2020 · CIE IAL Q7
Rates of Change and Integration - CIE 9709 Nov 2020 Paper 12 Q7
FRQ 1 of 2 parts ((b)) 4
of 7 on the paper
Medium 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 ((a)) 6
of 10 on the paper
Medium Go to Practice Hub
9709/13October/November 2020 · CIE IAL Q2
Improper Integral and Constant of Integration - CIE 9709 Nov 2020 P13 Q2
FRQ 1 of 2 parts ((a)) 3
of 5 on the paper
Medium Go to Practice Hub
9709/13October/November 2020 · CIE IAL Q10
Gradient and Integration with Variable Parameters - CIE 9709 Nov 2020 P13 Q10
FRQ 1 of 2 parts ((b)) 5
of 9 on the paper
Medium Go to Practice Hub
9709/13May/June 2020 · CIE IAL Q2
Equation of Curve from Gradient - CIE Pure Mathematics 2020 June Paper 13 Q2
FRQ 1 part 4 Easy Go to Practice Hub
9709/12March 2020 · CIE IAL Q10
Stationary Points and Integration - CIE A-Level Maths 2020 Mar Paper 12 Q10
FRQ 1 of 3 parts ((c)) 4
of 10 on the paper
Medium Go to Practice Hub

Topic question rules and edge cases

How many topic questions cover this syllabus point?
47 question stems cover this subtopic across 37 papers, but only 47 tagged parts and 206 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.