Ok, So i need to find the arc length of the curve r(t) = < 2t, e^t, e^(-t)> from 0<=t<=1
so L should be the integral from 0 to 1 over the magnitude of r'(t) dt. So what I'm getting is
S01 sqrt(4 + e2t + e-2t)dt
and this I'm not sure how to do this integral. Anyhelp?
Thanks for taking the time to look at this. I'm getting ready to go to grad school, and I'm realizing that although I did ok in my classes, there are large gaps in my knowledge of physics. That said, I'm currently trying to work my way through an E&M book, and now I'm stuck.
Here's the...