What is the value of ∫01ln(1+x)xdx\int_{0}^{1} \frac{\ln(1+x)}{x} dx∫01xln(1+x)dx?
π26\frac{\pi^2}{6}6π2
π212\frac{\pi^2}{12}12π2
π28\frac{\pi^2}{8}8π2
π24\frac{\pi^2}{4}4π2