97 - Closed-Curve Integrals and the Fundamental Theorem of Line Integrals

A closed loop line integral, denoted is the integral over a curve that walks you across a certain path and a return curve that brings you back to where you started

The Fundamental Theorem of Line Integrals

Let be a conservative vector field, a gradient of a scalar field, then its line integral along a curve is the same as evaluating the potential, the function it's a gradient of, between the two endpoints, just like in single variable calculus, so we have

98 - Flux in Two Dimensions