Line Integrals

In this video we discuss the concept of a line integral which is simply an extension of a standard integral but along an arbitrary line. We show how to perform a line integral of a scalar function as well as a line integral of a vector field.

Topics and timestamps:
0:00 – Introduction
2:21 – Line integral of a scalar function
9:05 – Examples
15:56 – Extension to 3D
22:04 – Line integral of a vector field
31:08 - Example

#Calculus

[Marryatau]

An integral is not simply “the area under a curve” but rather a continuous, finite or infinite, Sum. The definitive formulation of an integral comes from Riemann Sums which are sums written with Sigma notation.