Calculus › Section O · Multiple integrals › Topic O.1
Iterated integrals and area
A single integral adds a quantity along a line. To add it over a whole region of the plane, you integrate twice, and the order of the two integrations turns out not to matter at all.
In this topic
- Adding over a region
- Anatomy of an iterated integral
- Worked example: evaluating a nested integral
- Worked example: the same integral, other order
- Fubini's theorem: order is free
- Area as a double integral
- Average value over a region
- Signed height, and a preview of volume
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…
Standards: Beyond AP