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I'm trying to evaluate: $$\int\limits_1^\infty \frac{\ln(\ln(x))}{1+x^2} dx$$

I've been told by the user Jack D'Aurizio that I can connect it to Euler's Beta Function using the substitution $x=e^u$ and using Feynman's Technique. I've tried connecting it to $$\int\limits_0^\infty \frac{t^{x-1}}{(1+t)^{x+y}}dt $$ but I don't see anything. Would appreciate a hint to put me in the right direction.

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marked as duplicate by Nosrati, Parcly Taxel, Isaac Browne, Mostafa Ayaz, Claude Leibovici calculus Jul 17 '18 at 9:59

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