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Applications of Integrals: Arc Length Proof

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First published at 18:21 UTC on May 21st, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over a pretty in depth proof of the arc length or length of a curve as well as deriving a formula for it as an integral. The length of a curve can be defined in a precise way in much the same way as with other applications of integrals, such as Area or Volume. The process of deriving its formula is simply approximating it as a sum of polygons and then taking a limit as the number of polygons goes to infinite. The fact that integrals can be used to precisely determine the length of any continuous curve goes to show how powerful integral calculus can be!

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!103171&authkey=!AMlFC0F2Va3GpWw&ithint=file%2cpdf

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

Related Videos:

Net Change Theorem and Applications of Integrals: http://youtu.be/UK7FH6uTEHk
Integrals and Areas Between Curves: http://youtu.be/2F03KMLIzbk
Pi = 3.1415 Proof: Archimedes' Geometric Proof: http://youtu.be/gj-u8qXdmJA
Integrals and Volumes: http://youtu.be/-evdvkDwBuQ
Simple Proof of the Pythagorean Theorem: http://youtu.be/yt-EJlbJQp8
Mean Value Theorem - A Simple Proof: http://youtu.be/x-2MiiG2E38 .

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