# Newton-Cotes methods
Newton-Cotes methods approximate the integral of a function by summing a weighted
combination of the function evaluated at equally-spaced points and nodes. If the
endpoints of the interval of integration are excluded from the sum, the method
is called an open Newton-Cotes method and if the endpoints are included the
method is called a closed Newton-Cotes method.
- [Rectangle Rule](newton_cotes/rectangle_rule.md)
- [Trapezoidal Rule](newton_cotes/trapezoidal_rule.md)
- [Simpson's Rule](newton_cotes/simpson_rule.md)
- [Newton's 3/8 Rule](newton_cotes/newton_rule.md)