Chapter 4.4, Problem 81E

Consider the following functions:

$\begin{array}{l}f\left(x\right)=3.8x^5-18.6x^3,\\ g\left(x\right)=19x^4-55.8x^2.\end{array}$

a. Graph f and g in the window $\left[-3,3,-80,80\right]$, with Yscl=10.

b. Estimate the first coordinates a, b, and c of the three points of intersection of the two graphs.

c. Find the area between the curves over $\left[a,b\right]$.

d. Find the area between the curves over $\left[b,c\right]$