ABSTRACT
In this chapter, the authors develop the idea of the line integral of a function and of a vector field along a curve. They show how to integrate a function along a curve. The authors deal with more general sorts of line integrals and provide a list of some of the properties of the line integral. They consider the problem of determining the mass of an in-homogeneous piece of wire. The authors explore an important class of vector fields, the conservative vector fields. These are the vector fields whose line integrals do not depend on the particular curve chosen, only on its endpoints. The authors offer the proof of Green's theorem.
