Quelpr
7 marksIntegration I

CAPE Pure Mathematics Unit 1 · May/June 2024 · Paper 2 · Question 6(b)

The diagram shows the graphs of y = 2x^3 - 6x and y = 4x.

Calculate the area between the line and the curve.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 6(a)Calculate the volume of the solid generated by revolving the region bounded by the graphs of x = sqrt(y) and y = 2x about the y-axis.[7 marks]
  2. 6(c)Given that f is an even function, show that integral from -a to a of f(x) dx = 2 * integral from 0 to a of f(x) dx.[5 marks]
  3. 6(d)Solve the differential equation x^3 y' = 2 - x^4, given that at x = 1, y = 2.[6 marks]

More practice: the rest of this paper · more Integration I questions · all CAPE Pure Mathematics Unit 1 past papers