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1 Pure Mathematics

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Question 250
a.

Find ∫(2x−x2)dx\displaystyle\int\left(2x - x^2\right)dx∫(2x−x2)dx.

[2]
b.

Evaluate ∫04(2x−x2)dx\displaystyle\int_0^4\left(2x - x^2\right)dx∫04​(2x−x2)dx.

[2]
c.

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

[1]
Markscheme

1 Pure Mathematics Questions

  1. A Level
  2. /Maths
  3. /1 Pure Mathematics

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