Cauchy Principal Value

Author

Eric W. Weisstein
December 5, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/CauchyPrincipalValue.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/CauchyPrincipalValue.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<NumericalMath`CauchyPrincipalValue`

Example

Integrate[1/x^3,{x,-1,2}]

Integrate[1/x^3,{x,-1,2},PrincipalValue->True]

Integrate[1/x^3,{x,-1,-ϵ},Assumptions->ϵ>0]+Integrate[1/x^3,{x,ϵ,2},Assumptions->ϵ>0]

CauchyPrincipalValue[1/x^3,{x,-1,{0},2}]