Find ∫(2x−x2)dx\int (2x - x^2) dx∫(2x−x2)dx
Evaluate ∫04(2x−x2)dx\int_0^4 (2x - x^2) 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