Calculus 3: How to reparametrize a vector function (with respect to arc length)

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This calculus tutorial covers how to reparametrize a vector function r(t)=(2/(t^2+1)-1)i+2t/(t^2+1)j with respect to the arc length starting at (1,0) to t. This question is from the Multivariable Calculus textbook by James Stewart, 9th ed. Subscribe to @bprpcalculusbasics for more Calculus 3 tutorials.

0:00 How to reparametrize a vector function
11:19 The graph
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very beautiful result and simplification!

frigusterio
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I am so happy that i could understand most of the vid ☺️

pedropiata
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I dont understand any of this lol but its fun to see how you get the solution

noteventrying