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