# Applications of Integrals: Arc Length Function

In this video I go over further into the Arc Length Formula and this time explain how it is sometimes useful to have a function that measures the arc length of a curve from a particular starting point point to any other point on the curve. From the arc length formula we determine this function, which is called the Arc Length Function. Also in this video, I write the integrand of the arc length formula in terms of differentials in order to develop a useful visual geometric interpretation of the rate of change of arc length. This is a very interesting video on arc length so make sure to watch this video!

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-arc-length-function

Related Videos:

Applications of Integrals: Arc Length: Example 3: Simpson’s Rule Approximation: https://youtu.be/7×6-t0Nebxw
Applications of Integrals: Arc Length: Example 2: x = f(y): https://youtu.be/07Peo5ms848
Applications of Integrals: Arc Length: Example 1: https://youtu.be/Fqp2ai2RBEE
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Differentials Notation in Linear Approximation: http://youtu.be/s0adatWiZg4
Fundamental Theorem of Calculus – Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk .

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