# Math Help - arclength parameter

1. Originally Posted by gralla55
ab(root)2 (integral from a to t) e^at dt
You integral is going from a to t where t your is the dependent variable.

Should that t be a b or something else?

2. The formula says from a to t, but in my book they use the greek letter "tau" as a dummy-variable.

s(t) = (integral from a to t)||x'(tau)||dtau

3. Ok so those t's werent the same then. Call the integral t x for simplicity since we have a t already.

4. I'm still not sure I got this right. The next exercise is to express the original parameter t in terms of s, and, thereby, reparametrize x in terms of s. Looks a bit hard to do if my answer was correct.

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