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NewtonCotesWeights
gives a list of the n pairs 
of the elementary n-point Newton-Cotes formula for quadrature on the interval a to b, where 
is the weight of the abscissa 
.
更多信息
- To use
, you first need to load the Numerical Differential Equation Analysis Package using Needs["NumericalDifferentialEquationAnalysis`"]. - Newton-Cotes quadrature approximates the value of an integral as a linear combination of values of the integrand evaluated at equally spaced points:
. - The abscissas may or may not include the endpoints a and b of the interval. The option QuadratureType is used to control whether endpoints are included as abscissas.
- With the default setting QuadratureType->Closed, the endpoints are included as abscissas.
- With the setting QuadratureType->Open, the endpoints are not included as abscissas. In this case, the initial abscissa is chosen to be a half step above the lower endpoint.
