Arc Length of Smooth, Planar Curve Practice Test

$\displaystyle \int_{-1}^{1}\left(e^t-e^{-t}\right)dt$

$\displaystyle \int_{-1}^{1}\left(\left(e^t\right)^2+\left(-e^{-t}\right)^2\right)dt$

$\displaystyle \int_{1}^{-1}\sqrt{\left(e^t\right)^2+\left(-e^{-t}\right)^2},dt$

$\displaystyle \int_{-1}^{1}\sqrt{e^{2t}+e^{-2t}},dt$

$\displaystyle \int_{-1}^{1}\sqrt{\left(e^t\right)^2+\left(-e^{-t}\right)^2},dt$