Integration of functions of several variables

How do you compute double and triple integrals? You need this for physical quantities that depend on several variables.

Preview integration

This university preview discusses the concept of Riemann sums in two dimensions using the TU Delft library as an example.

Double integral

Suppose you want to calculate a double integral, but the domain is not rectangular. How would this work?

Polar coordinates

Polar coordinates is an alternative coordinate system from Cartesian or rectangular coordinates. Polar coordinates can help you simplify double integrals in cases with rotational symmetry.

Curves and regions in polar coordinates

How can you describe curves and regions in two dimensional space in terms of polar coordinates?

Triple integral

How can you simplify a triple integral?

Cylindrical coordinates

In three dimensional space you can use cilindrical coordinates to simplify triple integrals in case of rotational symmetry.

Spherical coordinates

In three dimensional space you can use spherical coordinates to simplify triple integrals in case of rotational symmetry.