Evaluate ∫0111+x3dx\int_0^1 \frac{1}{1+x^3} dx∫011+x31dx.
13ln2+π33\frac{1}{3}\ln 2 + \frac{\pi}{3\sqrt{3}}31ln2+33π
13ln2+π63\frac{1}{3}\ln 2 + \frac{\pi}{6\sqrt{3}}31ln2+63π
ln2+π33\ln 2 + \frac{\pi}{3\sqrt{3}}ln2+33π
13ln2−π33\frac{1}{3}\ln 2 - \frac{\pi}{3\sqrt{3}}31ln2−33π