Consider the area shown below. The top curve (in blue) is y=cuberoot(x) and the bottom curve (in red) is y=x^3, and we have used the notation Dy for delta y.
The top curve is y = √x The bottom curve is y = x³
We are to find the area between the two curves, the limits are 0 and 1 A = ∫(x³ - √x)dy from 0 to 1 A = x⁴/4 - (1/2)/√x |from 0 to 1 A = 0.25 square units
