Evaluate ∫01x4(1−x)41+x2 dx\int_0^1 \frac{x^4(1-x)^4}{1+x^2} \, dx∫011+x2x4(1−x)4dx.
π−227\pi - \frac{22}{7}π−722
227+π\frac{22}{7} + \pi722+π
17\frac{1}{7}71
227−π\frac{22}{7} - \pi722−π