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Integration: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 1.8 Integration, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. Q9

    June 2024 · Paper 1

    6 marks1.8 Integration
    The whole paper ↗
    June 2024 Paper 1, question 9: y 1 (1,1) O x 2.4 1 The diagram shows part of the curve with equation y and the lines x 2 4 . and y = . The 1 = = ( 5 x 4 ) 1 - 3 curve intersects the line y =

  2. Q4

    Specimen · Paper 1

    5 marks1.8 Integration
    The whole paper ↗
    Specimen Paper 1, question 4: 6 4 A curve has equation y = f(x). It is given that f ′(x) = and that f(3) = 1. + x + 6 x 2 Find f(x). [5]

  3. Q12

    Specimen · Paper 1

    13 marks1.7 Differentiation1.8 Integration
    The whole paper ↗
    Specimen Paper 1, question 12: y 2 y x x – 2) O x b a The diagram shows the curve with equation y = x(x – 2)2. The minimum point on the curve has coordinates (a, 0) and the x-coordinate of th
All 3 questions on Integration, as a list
  1. June 2024, Paper 1, Q9 (6 marks): y 1 (1,1) O x 2.4 1 The diagram shows part of the curve with equation y and the lines x 2 4 . and y = . The 1 = = ( 5 x 4 ) 1 - 3 curve intersects the line y =
  2. Specimen, Paper 1, Q4 (5 marks): 6 4 A curve has equation y = f(x). It is given that f ′(x) = and that f(3) = 1. + x + 6 x 2 Find f(x). [5]
  3. Specimen, Paper 1, Q12 (13 marks): y 2 y x x – 2) O x b a The diagram shows the curve with equation y = x(x – 2)2. The minimum point on the curve has coordinates (a, 0) and the x-coordinate of th

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