Uploaded February 2023 | Updated September 2026, 1 hour ago
Assignment 6, part 2.
In this video we calculate double integrals over general regions (the bounds are curves). We have to talk about switching the bounds (changing the order of integration); how to determine if it's better to use dydx or dxdy; I use a calculator on a bunch of them but do some by hand as well. For a few of them we have no choice but to use two integrals because the region is not horizontally or vertically simple! These are often called multiple integrals.
These are fully worked out problems with commentary.
Time stamps:
0:00 Number 25
1:41 Number 33
4:27 Number 39
6:18 Number 40
10:49 Number 41
12:53 Number 42
This is a common topic in Calculus III, Multivariable Calculus
Assignment 6, part 2.
In this video we calculate double integrals over general regions (the bounds are curves). We have to talk about switching the bounds (changing the order of integration); how to determine if it's better to use dydx or dxdy; I use a calculator on a bunch of them but do some by hand as well. For a few of them we have no choice but to use two integrals because the region is not horizontally or vertically simple! These are often called multiple integrals.
These are fully worked out problems with commentary.
Time stamps:
0:00 Number 25
1:41 Number 33
4:27 Number 39
6:18 Number 40
10:49 Number 41
12:53 Number 42
This is a common topic in Calculus III, Multivariable Calculus










