TITLE: Help find hard integrals that evaluate to $59$?
QUESTION [122 upvotes]: My father and I, on birthday cards, give mathematical equations for each others new age.  This year, my father will be turning $59$.  
I want to try and make a definite integral that equals $59$.  So far I can only think of ones that are easy to evaluate. I was wondering if anyone had a definite integral (preferably with no elementary antiderivative) that is difficult to evaluate and equals $59$?  Make it as hard as possible, feel free to add whatever you want to it!

REPLY [135 votes]: compact : $$\int_0^\infty \frac{(x^4-2)x^2}{\cosh(x\frac{\pi}2)}\,dx$$