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Question 121

A coordinate-axis diagram shows an upward-opening parabola, the axes, labeled points A, B and C, and two shaded regions between the curve and the x-axis.

The diagram shows the curve with equation y=x2−(k+1)x+ky = x^2 - (k+1)x + ky=x2−(k+1)x+k, where k>1k>1k>1.

a.

Write down the coordinates of the points AAA, B B\,B and C C\,C in terms of kkk.

[3]
b.

Find the total area of the two shaded regions in terms of kkk. Fully justify your answer.

[5]
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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