Arc Length - Calculus 2
Aug 25, 2022Another application of definite integrals is the ability to find the arc length of curves. In algebra you learn how to find the distance between two points, or the length of a line segment using the distance formula, but this can be extended using calculus to find the length of curves.
The formula for calculating arc length that results from extending the distance formula from algebra to a calculus setting can lead to some integrals that can be difficult to solve, so knowing how to simplify them and how to use the proper integration techniques is essential for calculating arc length.
In this lesson, you will learn:
- How to find arc length of curves using definite integrals with respect to x.
- How to find arc length of curves using definite integral with respect to y.
- Useful integration techniques to solve definite integrals for arc length problems.
I hope you find this video to be helpful!
-Josh
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