WOLFRAM LANGUAGE TUTORIAL
Integrals over Regions
This does an integral over the interior of the unit circle.
Here is an equivalent form.
Even though an integral may be straightforward over a simple rectangular region, it can be significantly more complicated even over a circular region.
This gives a Bessel function.
|integrate f over the region where cond is True|
Integrals over regions.
Particularly if there are parameters inside the conditions that define regions, the results for integrals over regions may break into several cases.
This gives a piecewise function of
With two parameters even this breaks into quite a few cases.
This involves intersecting a circle with a square.
The region can have an infinite number of components.