Find ∫(2x−x2)dx\displaystyle\int\left(2x - x^2\right)dx∫(2x−x2)dx.
Evaluate ∫04(2x−x2)dx\displaystyle\int_0^4\left(2x - x^2\right)dx∫04(2x−x2)dx.
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.
160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.