plumiIntegration as the limit of a sum: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.08.5 Integration as the limit of a sum, 2018–2025, 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, Paper 2, Q3 (7 marks): 3 The diagram shows part of the curve with equation y x + , between x = 0 and x = 2. 3 = y 3 2 1 0 x 0 1 2 (a) (i) Use the trapezium rule, with intervals of 0.5
- November 2021, Paper 2, Q6 (5 marks): x2 6 Alex is investigating the area, A, under the graph of y between x = and 1 x 1 5 . . They draw = = the graph, together with rectangles of width 0 1 . , and
- November 2020, Paper 1, Q10 (11 marks): y x 1 2 O a k, for 1 The diagram shows the curve y sin x 1 1 x 2 . = - G G 2 a k 2 y 1 (a) Use rectangles of width 0.25 to find upper and lower bounds for sin x
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