1
$\begingroup$

How to find the accurate numerical integration of highly oscillating functions involving ploylogs for example;

NIntegrate[
 PolyLog[2, E^(-2 I \[Pi] x)] PolyLog[2, 
   E^(-2 I \[Pi] Sqrt[321 + 712 x + 4 x^2])], {x, 1, 10^25}, 
 MaxRecursion -> 500]

The default global adaptive method above is currently not converging, is there any other integration strategy that coulf work for such functions.

Improve this question
$\endgroup$
2
  • $\begingroup$ Are you really trying to integrate to 10^25? Or are you really trying to integrate to infinity? If so, do you know that the integral should actually converge? $\endgroup$
    – mikado
    Nov 20, 2022 at 22:37
  • $\begingroup$ I'm trying to integrate to 10^25 $\endgroup$
    – Smithy
    Nov 21, 2022 at 18:54

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.

Browse other questions tagged or ask your own question.