# Higher-order numerical integration on a triangle/tetrahedron/simplex

Let $T$ be a triangle and let $f$ be a smooth function on $T$.

We can use mid-point quadrature $\int f dx \approx |T|\cdot f(x_M)$, where $x_M$ is the middle-point of $T$.

Can you provide me with (a reference for) higher-order formulas on a simplex?