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Question 126
a.

Find ∫(4x−x2) dx\int (4x - x^2)\,dx∫(4x−x2)dx and evaluate ∫07(4x−x2) dx\int_0^7 (4x - x^2)\,dx∫07​(4x−x2)dx

[4]
b.

Using a sketch, explain why the integral in part (a) does not give the area enclosed between the curve y=4x−x2y = 4x - x^2y=4x−x2 and the xxx-axis

[1]
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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