FunctionApproximations`
FunctionApproximations`
ListIntegrate
In Version 6, ListIntegrate has been superseded by Integrate[Interpolation[data,InterpolationOrder->k][x],{x,Min[xc],Max[xc]}], for data={{x1,y1},…,{xn,yn}} with xc=data[[All,1]]. The default interpolation order is k=3.
ListIntegrate[{y1,…,yn},h,k]
is an obsolete function that uses an InterpolatingFunction object of order k to give an approximation to the integral of a function with values y1,…,yn at points equally spaced a distance h apart.
ListIntegrate[{{x1,y1},…,{xn,yn}},k]
approximates the integral of a function with values y1,…,yn at the points x1,…,xn.
Details and Options
- To use ListIntegrate, you first need to load the Function Approximations Package using Needs["FunctionApproximations`"].
- Use Integrate[Interpolation[data,InterpolationOrder->k][x],{x,min,max}] instead of ListIntegrate.