A Physics Student’s Guide to Line Integrals

Image: Rhett Allain

There are two kinds of line integrals — those you see in your math course and then there are real line integrals that we use in physics. OK, I’m just joking. But really, let’s do some line integrals.

Definition of Work

Let me start off with the most common example of a line integral in physics — the work. Work is defined as: