Triple integral
Summary
The triple integral of a function of three variables over a solid region is a limit of Riemann sums. These sums use partitions of the region into small boxes. It extends the double integral to three dimensions, and it computes volumes, masses and centres of mass of solids.
Reading path
To understand this page from the ground up, read these 5 pages in order. The foundations come first.
Show the path as a graph
- no evidence level
- Euclidean space object
- Function concept
- Function of several variables concept
- Double integral concept
- Triple integral concept
Where this leads
3 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Multiple_integral, Mathematical definition
About this page
| Tag | 0698M7C7AX |
|---|---|
| URI | m2://0698M7C7AX |
| Aliases | volume-integral |
| Kind | concept |
| Writing | W1 stated |
| MSC | 26B15 |
| Uses | Double integral, Function of several variables |
Markdown · JSON · Edit on GitHub
What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.