Chapter 6, Problem 7RE

(a) Set up a sum of definite integrals that represents the total shaded area between the curves $y=f\left(x\right)$ and $y=g\left(x\right)$ in the accompanying figure.

(b) Find the total area enclosed between $y=x^3$ and $y=x$ over the interval $\left[-1,2\right]$ .