2) ∫ 0 x² dx,

2) $$ \int_{0}^{1} x^2 dx = \frac{x^{2+1}}{2+1} \Big|_{0}^{1} = \frac{x^3}{3} \Big|_{0}^{1} = \frac{1^3}{3} - \frac{0^3}{3} = \frac{1}{3} - 0 = \frac{1}{3} $$.

Ответ: $$\frac{1}{3}$$