Friday, March 23, 2018

calculus - Using the Eulerian integrals evaluate $int_0^infty frac{ln^2{x}}{1+x^4} mathrm{d}x$

The question asks to evaluate the integral: $$\int_0^\infty \frac{\ln^2{x}}{1+x^4} \mathrm{d}x.$$



I have tried a few substitutions but am not getting anywhere.




Thanks in advance!

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