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8: Further Applications of Integration

Last updated

Nov 10, 2020
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- 7.8: Improper Integrals
- 8.1: Arc Length

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Topic hierarchy

8.1: Arc Length
In this section, we use definite integrals to find the arc length of a curve. We can think of arc length as the distance you would travel if you were walking along the path of the curve. Many real-world applications involve arc length. If a rocket is launched along a parabolic path, we might want to know how far the rocket travels. Or, if a curve on a map represents a road, we might want to know how far we have to drive to reach our destination.
8.2: Area of a Surface of Revolution
8.3: Applications to Physics and Engineering
8.4: Applications to Economics and Biology
8.5: Probability

Thumbnail: Volume of a solid of revolution can be calculated via integration techniques. (GPLC, Matt Boelkins, David Austin, and Steve Schlicker, Grand Valley State University).

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