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Q: Finding the closed form of $\int_0^{\infty}\int_0^{\infty} \frac{\sin(y)}{y(x+y)(1+x^2)} \ dx \ dy$
I think I know how to tackle the integral with $\operatorname{Ci}(x)$ and $\operatorname{Si}(x)$, but the way is long and less
friendly as far as I can see. Do you see any easy way to tackle it?
$$\int_0^{\infty}\int_0^{\infty} \frac{\sin(y)}{y(x+y)(1+x^2)} \ dx \ dy$$
Mathematica says it evalu...
