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.

Algebra ->  Vectors -> 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.      Log On

For any parametric curve in 

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


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


    *dt.