This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 NumericalMath`ListIntegrate` The Mathematica function NIntegrate computes a numerical approximation to a definite integral. To use NIntegrate you must enter a symbolic expression for the function you want to integrate. There are many situations that arise in experimental and numerical work in which all you have is a list of values of the function to be integrated. The function ListIntegrate given in this package will compute an approximation to the integral in this case. Approximating a definite integral from a list of function values. ListIntegrate works by using Interpolation to construct an InterpolatingFunction object to approximate the function that produced the data with a collection of interpolating polynomials. The InterpolatingFunction is integrated to obtain the result. You can specify the degree of the polynomial used in the InterpolatingFunction object by giving a value for k. k is the number of points used to construct each polynomial and the degree of each polynomial is k1 (InterpolationOrder-> k1). The default value for k is . This loads the package. In[1]:= <1][x],{x,0,7}] Out[10]= It is advantageous to use the direct construction because it can be used to find the integral over part of the interval between the points, an approximate indefinite integral function, or the approximate integral for multidimensional data on tensor product grids.