Newton-Cotes Quadrature Formulas
Newton-Cotes Quadrature Formulas
This Demonstration shows the Newton–Cotes quadrature formulas of integration and their application to the integration of .
sin(x)
The Newton–Cotes integration formulas are just the integrals of interpolating polynomials.
The Newton–Cotes formulas may be "closed" if the endpoints and are used to obtain the interpolating polynomial.
x
0
x
n
The Newton–Cotes formulas are "open" if the extremes of the interval are not used to obtain the interpolating polynomial.
[a,b]