A method of [[Quadrature]] derived from [[Simpsons Method]] using a cubic [[Polynomial|polynomial]].
$\begin{align}
A = h\pa{
\frac{3}{8}f(a) +
\frac{9}{8}f(a+h) + \frac{9}{8}f(a+2h) + \frac{6}{8}f(a+3h) + \cdots
}
\end{align}$
This is referred to as the $\frac{3}{8}$ method due to the ability to factor out $\frac{3}{8}$.
$ \begin{align}
A = \frac{3}{8}h\pa{
f(a) + 3f(a+h) + 3f(a+2h)+2f(a+3h) + \dots
}
\end{align}$