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Integration by parts: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 8.7 Integration by parts, 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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560 questions

  1. Q16

    June 2025 · Paper 2

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  2. Q10

    June 2023 · Paper 2

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  3. Q7

    November 2021 · Paper 3

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  4. Q6

    June 2019 · Paper 2

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All 5 questions on Integration by parts, as a list
  1. June 2025, Paper 2, Q16 (9 marks): In this question you must show detailed reasoning The population of puffins on a remote island is estimated to be P = 58.5, where P is measured in thousands of
  2. June 2023, Paper 2, Q10 (5 marks): ry 10 Determine the exact value of 4 x cos 2 d x x . [5] 4 0
  3. November 2021, Paper 3, Q7 (3 marks): y 7 Determine x cos 2 x x d . [3]
  4. June 2019, Paper 2, Q6 (4 marks): < 32 6 x x [4] Find ln d . 5 x 6 Answer all the questions
  5. June 2018, Paper 1, Q10 (8 marks): Fig. 10 shows the graph of y ( k x ) ln x where k is a constant ( k 2 1 ) . = - y x O Fig. 10 Find, in terms of k, the area of the finite region between the cur

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