Example Problems For How to Calculate Arc Length Using Definite Integrals (Calculus 2)

In this video we look at several practice problems of calculating the arc length of curves using definite integrals with respect to x and with respect to y.

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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 Example 1 - f(x)=(x-1)^(3/2) from x=1 to x=5
10:01 Example 2 - f(y)=(1/3)(y^2+2)^(3/2) from y=0 to y=1
18:06 Example 3 - y=(1/3)sqrt(x)(x-3) from (0,0) to (4,2/3)
34:06 Outro


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-Josh from JK Math

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