Integrating multivariable functions

Lessons
Line integrals for scalar functions (videos)
Line integrals for scalar functions (articles)
Line integrals in vector fields (videos)
Line integrals in vector fields (articles)
Double integrals (videos)
Double integrals (articles)
Triple integrals (videos)
Triple integrals (articles)
Surface integral preliminaries (videos)
Surface integrals (videos)
Surface integrals (articles)
Flux in 3D (videos)
Flux in 3D (articles)
About this unit
There are many ways to extend the idea of integration to multiple dimensions: Line integrals, double integrals, triple integrals, surface integrals, etc. Each one lets you add infinitely many infinitely small values, where those values might come from points on a curve, points in an area, points on a surface, etc. These are all very powerful tools, relevant to almost all real-world applications of calculus. In particular, they are an invaluable tool in physics.