Which of the following expressions represents the area between y=x2y = x^2y=x2 and y=xy = xy=x on [0,1][0, 1][0,1]?
∫01(x2−x)dx\int_0^1 (x^2 - x) dx∫01(x2−x)dx
∫01(x−x2)dx\int_0^1 (x - x^2) dx∫01(x−x2)dx
∫01x2dx−∫01xdx\int_0^1 x^2 dx - \int_0^1 x dx∫01x2dx−∫01xdx
π∫01(x−x2)2dx\pi \int_0^1 (x - x^2)^2 dxπ∫01(x−x2)2dx