gives the leading term in the error of the elementary n-point Gaussian quadrature formula for the function f on an interval from a to b.

attempts to give a result with prec digits of precision.


  • To use GaussianQuadratureError, you first need to load the Numerical Differential Equation Analysis Package using Needs["NumericalDifferentialEquationAnalysis`"].
  • The function f may be a pure function or a named function defined using Set or SetDelayed.
  • The error is given as a function of n, a, and b multiplied by an ^(th) derivative of the function f. The size of the error is bounded by the maximum of this expression over the interval from a to b.
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