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Question 139

The diagram shows the curve with equation y=x2+px+qy = x^2 + px + qy=x2+px+q

a.

The coordinates of the points AAA, B B\,B and C C\,C are (0,5)(0, 5)(0,5), (1,0)(1, 0)(1,0) and (5,0)(5, 0)(5,0) respectively. Find the values of p p\,p and qqq.

[3]
b.

The total area of the two shaded regions is 13 units213 \text{ units}^213 units2. Verify this result. 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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