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


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

- The default setting PrincipalValue->False computes ordinary Riemann integrals.
- Setting PrincipalValue->True gives finite answers for integrals that had simple pole divergences with PrincipalValue->False.
See Also
Tech Notes
Related Guides
History
Introduced in 1996 (3.0)
Text
Wolfram Research (1996), PrincipalValue, Wolfram Language function, https://reference.wolfram.com/language/ref/PrincipalValue.html.
CMS
Wolfram Language. 1996. "PrincipalValue." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PrincipalValue.html.
APA
Wolfram Language. (1996). PrincipalValue. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PrincipalValue.html
BibTeX
@misc{reference.wolfram_2025_principalvalue, author="Wolfram Research", title="{PrincipalValue}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/PrincipalValue.html}", note=[Accessed: 14-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_principalvalue, organization={Wolfram Research}, title={PrincipalValue}, year={1996}, url={https://reference.wolfram.com/language/ref/PrincipalValue.html}, note=[Accessed: 14-August-2025]}