Problem 59521. Integrate a power tower

Write a function to compute this integral
where . That is, the integrand is (x to the x) to the (x to the x) to the (x to the x)...

Solve

Last Solution submitted on Mar 09, 2025

Tim on 3 Jan 2024

It looks like the given results are for the function
(x^x)^(x^x)^(x^x)...
instead of
x^x^x^x^x^x...;
they are closely related but slightly different.

ChrisR on 3 Jan 2024

Thanks for finding the error and sorry for the confusion. I've fixed the description.

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