Plotting Voltage when Current in Capacitor is Known Example Problem

This is similar to problem 5.11 in "Circuit Analysis and Design" by Ulaby, Maharbiz, and Furse. This is a free/open educational textbook on basic circuit design found here: https://cad.eecs.umich.edu/ The current as a function of time in a capacitor is known, let's plot the voltage as a function of time. We'll convert the current into piecewise function and also plot as as piecewise function.