Given that $r(t)=(4(\sin(t)−t\cos(t)),4(\sin(t)+t\sin(t)),(3/2)t^2)$ is a vector-value position function. Find the arc length function $s$.
I need to change the parameter before deriving to calculate the arc length. Thoughts on what the new parameter could be?
EDIT: The integral when solved conventionally is unsolvable. Prof said to change the parameter in terms of some u to make the problem managable.
Why do you think you need to change the parameter? Apply the relation $s=\int \sqrt{(\frac {dx}{dt})^2+(\frac {dy}{dt})^2+(\frac {dz}{dt})^2}dt$