Calculate ∫01x4(1−x)41+x2dx\int_{0}^{1} \frac{x^4(1-x)^4}{1+x^2} dx∫011+x2x4(1−x)4dx.
227\frac{22}{7}722
π\piπ
227−π\frac{22}{7} - \pi722−π
π−227\pi - \frac{22}{7}π−722