Consider the two curves y=x and y=x3 on the interval −1≤x≤2.
a. (i) Determine all points of intersection of the two curves that lie in the interval [−1,2].
b. (ii) Hence set up the appropriate definite integral(s) and calculate the total area of the region enclosed between the two curves from x=−1 to x=2. Express your answer in exact form.