A method of [[Quadrature]] using interpolating quadratics to aproximate areas instead of [[Trapezoid Method|trapezoids]].
$ \small
A = h\pa{
\frac{1}{3}f(a)
+ \frac{4}{3}f(a+h)
+ \frac{2}{3}f(a+2h) \\
+ \frac{4}{3}f(a+3h) \\
+ \cdots
+ \frac{4}{3}f(b-h) + \frac{1}{3}f(b)
}
$