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PrincipalValue

PrincipalValue
is an option for Integrate that specifies whether the Cauchy principal value should be found for a definite integral.

Setting PrincipalValue->True gives finite answers for integrals that had simple pole divergences with PrincipalValue->False.

Find the Cauchy principal value integral:

The ordinary Riemann definite integral is divergent:

Find the Cauchy principal value integral:

The ordinary Riemann definite integral is divergent:

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