Evaluate ∫011x3+1dx\int_0^1 \frac{1}{x^3+1} dx∫01x3+11dx.
13ln2+π33\frac{1}{3} \ln 2 + \frac{\pi}{3\sqrt{3}}31ln2+33π
12ln3\frac{1}{2} \ln 321ln3
π3\frac{\pi}{3}3π
23ln2\frac{2}{3} \ln 232ln2