You will find the area between curves in the plane when you cannot find their points of intersection using simple algebra. Use a CAS to perform the following steps:

a. Plot the curves together to see what they look like and how many points of intersection they have.

b. Use the numerical equation solver in your CAS to find all the points of intersection.

c. Integrate |ƒ(x) - g(x)| over consecutive pairs of intersection values.

d. Sum together the integrals found in part (c).

ƒ(x) = x² cos x, g(x) = x³ - x