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: