Arc Length | Calculus 2 Lesson 6 - JK Math

How to Calculate Arc Length Using Definite Integrals (Calculus 2 Lesson 6)

In this video we look at how to use definite integrals to calculate the arc length of curves with respect to x and with respect to y. The process is similar to calculating the distance between two point or the length of line segments in algebra with the distance formula, except this concept is extended to a calculus setting.

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This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 Determining the Arc Length Formula
6:56 The Arc Length Formula
7:43 Example 1 - f(x)=2x+1 from x=0 to x=3
10:14 Example 2 - g(y)=2/3(y-1)^(3/2) from y=1 to y=9
15:48 Example 3 - y=(3/2)x^(2/3) over [0,8]
27:02 Outro


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