The Error Function & The Integral of e^(-x^2)

$latex boxed{ displaystyle erf(x) =
frac{2}{sqrt{pi}} int_{0}^{x} {e^{-{t}^2}dt}}&fg=aa0000&s=3
$

The Bell Curve:

$latex boxed{displaystyle y = e^{-x^2}}&fg=0000aa&s=3$