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Question 130

Sketch of the curve y = 14x − 2x² and the line y = 4x, with the enclosed region shaded.

The sketch shows the curve y=14x−2x2y = 14x - 2x^2y=14x−2x2 and the straight line y=4xy = 4xy=4x

a.

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

[2]
b.

Find the area of the shaded region.

[6]
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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