The challenge here is merely to evaluate the following integral: $$\int_0^{\infty} dx \frac{\log{(1+x^3)}}{(1+x^2)^2}$$ This integral is a tough one because of the branch points strewn throughout the complex plane, as well as the utter lack of symmetry. It turns out, however, that we may still use the residue theorem to evaluate the integral so long […]

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