Originally Posted by

**nicknc** I understand how to calculate arc length given parametric equations. However, this one has me completely stumped.

Find the arc length of the curve $\displaystyle r(t)= <2\sqrt{2t}, e^{2t}, e^{-2t}>$. The interval given is [0,1]

Following the same procedure I use for other arc length calculations, I arrive at:

$\displaystyle \int_0^1 2\sqrt{.5t+e^{4t}-e^{-4t}}$

I have no idea how to even approach that integral, and have spent the last two hours just on this problem.

Any help would be appreciated.

Thanks!