This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.

 NumericalMath`CauchyPrincipalValue` The Mathematica function NIntegrate computes a numerical approximation to a definite integral. However, if you want to evaluate the Cauchy principal value of an integral, NIntegrate cannot be used directly. To find the Cauchy principal value, you should use instead CauchyPrincipalValue. Finding the Cauchy principal value of an integral. CauchyPrincipalValue works by using NIntegrate directly on those regions where there is no difficulty and by pairing values symmetrically about the specified singularities in order to take advantage of the cancellation of the positive and negative values. Thus CauchyPrincipalValue[f[x],{x, a, {b, eps}, c}] is evaluated as where each of the integrals is evaluated using NIntegrate. If is not given explicitly, a value is chosen based upon the differences and . The options to CauchyPrincipalValue are simply passed directly to NIntegrate; CauchyPrincipalValue itself does not make any use of them. This loads the package. In[1]:= <