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Nintegrate will typically give a more precise result since it uses global error control These are explained in duffy's coordinates strategy, oscillatory strategies, and cauchy principal value integration. Your comment suggests that we need a version of nintegrate that would use a symbolic function for preprocessing, and its compiled version to calculate numerical values of the integrand.
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It seems to me that mathematica refuses to do numerical integration over another numerical integration Nintegrate uses certain preprocessor strategies for special types of integrals (or integrands) Finding a numerical integral of a function over a region
In general, nintegrate estimates the integral through sampling of the integrand value over the integration region
The various numerical integration methods prescribe the initial sampling steps and how the sampling evolves. In this notebook, i'll show you how to use mathematica to perform numerical integration using the five methods we've discussed in class I would like to use nintegrate in a function with some parameters from a list I simplified my problem for this forum
The list of parameters is as follows The significance of using the nintegrate function is that mathematica does not try to find a symbolic solution before starting on the numerical estimate Use mathematica to find the exact value of each of the following integrals. In the context of nintegrate usage, an integration rule object provides both an integral estimate and an error estimate as a measure of the integral estimate's accuracy
The following general notes pertain to weighted sum type integration rules such as gausskronrodrule and multidimensionalrule.
Suppose you have a function that can only be evaluated numerically I.e., you call $f [x]$ with a particular value of $x$ and get a value after a brief amount of time, but there is no good way of writing the $f$ in terms of other functions.
