plumiDefinite integrals and area under a curve: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 8.2 Definite integrals and area under a curve, 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 9 questions on Definite integrals and area under a curve, as a list
- Summer 2025, Unit 3, Q10 (3 marks): . for 0 X xX α, where 0 ~ α ~ 2 y sec x 10. (a) Sketch the graph of [1] sec d x x (b) Explain why . [2] 0
- Summer 2025, AS Unit 1, Q4 (10 marks): y x 4 x 6 4. The diagram below shows a sketch of the curve C with equation and the line L y x+ 16 with equation . The curve and the line intersect at t
- Summer 2024, AS Unit 1, Q14 (8 marks): y 2 3 x 2 x 14. The diagram below shows a sketch of the curve C with equation and the line y x 2 L with equation . The curve and the line intersect th
- Summer 2023, Unit 3, Q9 (8 marks): 9 The aerial view of a patio under construction is shown below. y 3 9x2 +16y2 = 144 x O 4 The curved edge of the patio is described by the equation 9x2 +16y2 =
- Summer 2023, AS Unit 1, Q13 (12 marks): ⎛ −2 ⎞ ∫ 3 + 5x3 + 7 1 3 a) Find 4x dx . [3] ⎝⎜ ⎠⎟ y x x 6 x 3 b) The diagram below shows the graph of . y x O Calculate the total area of the regi
- Summer 2022, AS Unit 1, Q11 (15 marks): 1 The diagram below shows a sketch of the curve y = f (x), where f (x) = 10x + 3x2 − x3. The curve intersects the x-axis at the origin O and at the points A(–2,
- Summer 2019, AS Unit 1, Q16 (8 marks): The diagram below shows a curve with equation y = (x + 2)(x – 2)(x + 1). 1 6 y x O Calculate the total area of the two shaded regions. [8]
- Summer 2018, AS Unit 1, Q6 (10 marks): 6 y L B C A x O The sketch shows the curve C with equation y = 14 + 5x – x2 and line L with equation y = x + 2. The line intersects the curve at the points A an
- Summer 2018, AS Unit 1, Q13 (11 marks): 3 A curve C has equation y = x3 – 3x2. a) Find the stationary points of C and determine their nature. [7] b) Draw a sketch of C, clearly indicating the stationa
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