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Question 101
a.

Find ∫(2x−x2) dx\int (2x - x^2)\,dx∫(2x−x2)dx

[2]
b.

Find the xxx-coordinates of the points where the curve y=2x−x2y = 2x - x^2y=2x−x2 meets the xxx-axis

[1]
c.

Evaluate ∫04(2x−x2) dx\int_0^4 (2x - x^2)\,dx∫04​(2x−x2)dx

[2]
d.

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