SOLUTION: Set up the integral to find the arc length of the curve r(t) = ⟨4t^3, sin 3t, cos 5t⟩ for 0 ≤ t ≤ π. You do not need to evaluate the integral.

Question 1165561: Set up the integral to find the arc length of the curve r(t) = ⟨4t^3, sin 3t, cos 5t⟩ for 0 ≤ t ≤ π. You
do not need to evaluate the integral.
Answer by ikleyn(53925) (Show Source): You can put this solution on YOUR website!
.


For any parametric curve in 

    p(t) = (x(t),y(t),z(t))


its length is the integral from "a" to "b" of


    *dt.

See, for example, this link

https://tutorial.math.lamar.edu/classes/calciii/vectorarclength.aspx

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