plumiAreas between curves and lines: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on H.4 Areas between curves and lines, 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 4 questions on Areas between curves and lines, as a list
- June 2022, Paper 3, Q2 (1 mark): The shaded region, shown in the diagram below, is defined by x2 − 7x + 7 × y × 7 − 2x x 5 O y Identify which of the following gives the area of the shaded regio
- November 2021, Paper 1, Q10 (8 marks): (a) Given that y = tanx use the quotient rule to show that dy dx = sec2 x [3 marks] 10 (b) The region enclosed by the curve y = tan2 x and the horizontal line,
- November 2021, Paper 1, Q14 (10 marks): The curve C is defined for t × 0 by the parametric equations x = t2 + t and y = 4t2 − t3 C is shown in the diagram below. x y O 14 (a) Find the gradient of C at
- November 2020, Paper 1, Q15 (10 marks): The region enclosed between the curves y = ex, y = 6 × e x 2 and the line x = 0 is shown shaded in the diagram below. y y = e x x O y = 6 – e x 2 Show that the
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