Integration: past paper questions
Real questions on integration
The newest 8 of 8 written questions. Open one to see it on the real paper.
- 9709/23 · October/November 2025 · Q3b[3]
3-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/32 · May/June 2025 · Q10b[6]
6-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/32 · May/June 2025 · Q11b[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/41 · May/June 2025 · Q7b[7]
7-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/21 · October/November 2024 · Q3b[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/21 · October/November 2024 · Q5a[5]
5-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/23 · October/November 2020 · Q3[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/33 · May/June 2020 · Q7c[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
It was essential that candidates realised that as an exact answer was required, they need to work with exact quantities rather than making use of their calculator. It was intended that the shaded area be found by calculating the area enclosed by the curve, the coordinate axes and the line x = 1, and then subtracting this from the area of the trapezium shown in the diagram. Attempts to find the equ...
— Examiner report, October/November 2020, 9709/23 Q3 (Cambridge)
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