Determine the value of ∫0∞1x3+1dx\int_0^{\infty} \frac{1}{x^3+1} dx∫0∞x3+11dx.
2π/(33)2\pi / (3\sqrt{3})2π/(33)
π/(33)\pi / (3\sqrt{3})π/(33)
4π/(33)4\pi / (3\sqrt{3})4π/(33)
π/3\pi / \sqrt{3}π/3