The FunctionAverage command returns the average value of a function over a region in one-, two-, or three-dimensional space.

The opts argument can contain any of the following equations that set output options.

coordinates = cartesian[x,y], polar[r,theta] (2-D), cartesian[x,y,z], cylindrical[r,theta,z], or spherical[r,phi,theta]

Determines the coordinate system being used. The first variable of polar, cylindrical, and spherical is assumed to be the radial component. The default is cartesian.

output = value or integral

This option controls the return value of the function.

* output = value specifies that the average value of the function is returned. The default is output = value.

* output = integral specifies that the inert form of the function average is returned.