plumiIntegration as the limit of a sum: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 8.5 Integration as the limit of a sum, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 3 questions on Integration as the limit of a sum, as a list
- June 2025, Pure 1, Q5 (3 marks): (a) Express 2.89 0 1.44 2 lim δx x δx x as an integral. (1) (b) Hence show that 2.89 0 1.44 2 lim δx x δx k x where k is an integer to be found. (Solutions rely
- June 2022, Pure 1, Q4 (3 marks): (a) Express δ 0 2.1 2 lim δ x x x x → =∑ as an integral. (1) (b) Hence show that 6.3 δ 0 2.1 2 lim δ x x x x → =∑ = ln k where k is a constant to be found. (2)
- June 2019, Pure 2, Q5 (3 marks): y O x į[ y P 4 9 y x = Figure 3 Figure 3 shows a sketch of the curve with equation y x = The point P(x, y) lies on the curve. The rectangle, shown shaded on Fig
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