How long is a curve?? The Arclength Formula in 3D

Published: 13 October 2019
on channel: Dr. Trefor Bazett

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What is the arclength of a vector-valued function or curve in 3D? In this video we break the length into a sum of little straight lines, we add up the lengths of the straight lines, take a limit and voila, we get an integral formula to compute arclength.

We've previously studied arclength for single variable functions back in Calculus II, click here for a refresher:    • Arclength Formula | Derivation & Ex: ...   Now that we are in multivariable calculus the formula is more or less the same, just has more terms under the square root.

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