ANA2Quick check●●○○○new1 Uniform convergenceVerify ∫01n2x(1−x2)n dx=n22(n+1)\int_0^1n^2x(1 - x^2)^n\,\mathrm{d}x = \frac{n^2}{2(n + 1)}∫01n2x(1−x2)ndx=2(n+1)n2.