Determine the value of ∫01xx2+1dx\int_0^1 \frac{x}{x^2+1} dx∫01x2+1xdx.
ln(2)\ln(2)ln(2)
12ln(2)\frac{1}{2}\ln(2)21ln(2)
ln(2)\ln(\sqrt{2})ln(2)
ln(2)4\frac{\ln(2)}{4}4ln(2)