# How do you find the arc length of the curve y=e^(x^2) over the interval [0,1]?

≈2.12762 numerical solution
$S = {\int}_{0}^{1} \sqrt{1 + {\left(y '\right)}^{2}} \mathrm{dx}$
$= {\int}_{0}^{1} \sqrt{1 + {\left(2 x {e}^{{x}^{2}}\right)}^{2}} \mathrm{dx}$
≈2.12762 numerical solution