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Question 64

A quadratic graph passes through (0,4), (1,0) and (4,0), with the finite region between the curve and the x-axis shaded.

The sketch shows a quadratic graph that passes through (0,4)(0, 4)(0,4), (1,0)(1, 0)(1,0) and (4,0)(4, 0)(4,0)

a.

Show that the equation of the curve is y=(x−1)(x−4)y=(x-1)(x-4)y=(x−1)(x−4)

[2]
b.

Hence find the area of the finite region bounded by the curve and the xxx-axis.

[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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