| Integral | \(\displaystyle \int f(x)\,\mathrm{d}x\) |
| Notes | Order 0 open Newton–Cotes is the midpoint rule Order 2 closed Newton–Cotes is Milne's rule |
| References | Abrahamowitz, Milton and Stegum, Irene A. Newton-Cotes formulas (open type), in Handbook of mathematical functions with formulas, graphs, and mathematical tables, 887–887, 1964. |