Determine the value of ∫0∞arctanxx(1+x2)dx\int_0^{\infty} \frac{\arctan x}{x(1+x^2)} dx∫0∞x(1+x2)arctanxdx.
π/4\pi/4π/4
π2/8\pi^2/8π2/8
ln2\ln 2ln2
111