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Question 72

The sketch shows the curve y=10x−x2y = 10x - x^2y=10x−x2 and the straight line y=2xy = 2xy=2x

a.

Find the coordinates of the points where the line intersects the curve.

[2]
b.

Find the area of the triangle under the straight line between the two points of intersection.

[1]
c.

Find the area of the shaded region.

[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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