Standard curriculum for "Calculus for Electronics" typically covers the following: University of Southampton Functional Analysis
: Modeling RC (Resistor-Capacitor) and RL (Resistor-Inductor) circuits to predict how they respond to sudden changes, such as turning a switch on or off. University of Wisconsin–Madison Recommended Resources & PDFs Calculus For Electronics Pdf
The integral answers the question: "If I accumulate these changes over time, what is the total result?" what is the total result?"