Reparametrization to find arc length

llooppii

1. The problem statement, all variables and given/known data

Reparametrize the curve with respect to arc length measured from the point where t=0 in the direction of increasing t.

r(t) = [e^(2t)cos(2t)]i+2j+[e^(2t)sin(2t)]k


2. Relevant equations

i know that the derivative of the arc length with respect to t = magnitude of the derivative of r(t).

3. The attempt at a solution

I found the derivative and found the magnitude, but am basically lost as of there.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

lanedance

start by finding the arc length as function of t

icystrike

Let s(t) be the arc length, and I'm sure Ur calculus textbook will have the formula of arc length..

icystrike

In fact you can easily "derive" the formula with pythagorus theorem and riemman sum in mind.