Class Info
- Date: Mon Nov 6
- Meeting Info: 10a-11:40a, N719
Announcements
WebWork:
- “Applications – Volumes of Revolution” (due Friday Nov 9)
Topics
We recapped how to set up integrals for areas between curves, and for volumes of solids of revolution:
![](https://openlab.citytech.cuny.edu/mat1575-ganguli-fall2023/files/2023/11/20231106_102841-1024x768.jpg)
![](https://openlab.citytech.cuny.edu/mat1575-ganguli-fall2023/files/2023/11/20231106_104306-1024x768.jpg)
![](https://openlab.citytech.cuny.edu/mat1575-ganguli-fall2023/files/2023/11/20231106_105340-1024x768.jpg)
We set up an example from the WebWork that that involves calculating a volume using cylindrical shells, and also looked at an example from the textbook (Example 2.15 from Sec 2.3):
![](https://openlab.citytech.cuny.edu/mat1575-ganguli-fall2023/files/2023/11/20231106_105331-1024x768.jpg)
We then introduced “improper integrals”–where we integrate over an infinite interval, using a limit:
![](https://openlab.citytech.cuny.edu/mat1575-ganguli-fall2023/files/2023/11/20231106_113935-1024x768.jpg)
![](https://openlab.citytech.cuny.edu/mat1575-ganguli-fall2023/files/2023/11/20231106_113945-1024x768.jpg)
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