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Question 32

Sketch of a cubic curve crossing the horizontal axis three times, with the two regions between the curve and the axis shaded.

The sketch shows the curve y=x(x−2)(x−k)y = x(x - 2)(x - k)y=x(x−2)(x−k), where k>2k > 2k>2.

a.

Write down the values of x x\,x where the curve crosses the x x\,x axis.

[1]
b.

Find the area of the shaded region in terms of kkk.

[8]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

411 exam-style questions on Edexcel A Level Maths Integration, covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines. Each one has a worked solution and a mark scheme showing where the marks go.

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