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Integration as the limit of a sum: AQA A‑Level Maths questions

AQA A-Level Maths past-paper questions on H.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 2 questions on Integration as the limit of a sum, as a list
  1. June 2024, Paper 1, Q18 (11 marks): (a) Use a suitable substitution to show that ∫ 4 0 (4x + 1)(2x + 1) 1 2 dx can be written as 1 2 ∫ 9 a (2u 3 2 – u 1 2)du where a is a constant to be found. [5
  2. June 2023, Paper 1, Q14 (11 marks): (a) (i) Given that y = 2x write down dy dx [1 mark] 14 (a) (ii) Hence find ( 2x dx [2 marks] 14 (b) The area, A, bounded by the curve with equation y = 2x , the

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