# 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.