Integrals over Regions
This does an integral over the interior of the unit circle.
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Here is an equivalent form.
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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.
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| Integrate[f Boole[cond],{x,xmin,xmax},{y,ymin,ymax}] |
| 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
.
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With two parameters even this breaks into quite a few cases.
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This involves intersecting a circle with a square.
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The region can have an infinite number of components.
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