Editing Newton–Cotes formulas (section)

{{Short description|Formulas for numerical integration}}
[[File:Simpson rule.png|thumb|Newton–Cotes formula for&nbsp;<math>n=2</math>]]
In [[numerical analysis]], the '''Newton–Cotes formulas''', also called the '''Newton–Cotes quadrature rules''' or simply '''Newton–Cotes rules''', are a group of formulas  for [[numerical integration]] (also called ''quadrature'') based on evaluating the integrand at  equally spaced points. They are named after [[Isaac Newton]] and [[Roger Cotes]].

Newton–Cotes formulas can be useful if the value of the integrand at equally spaced points is given. If it is possible to change the points at which the integrand is evaluated, then other methods such as [[Gaussian quadrature]] and [[Clenshaw–Curtis quadrature]] are probably more suitable.