Express the limit as a definite integral on the given interval. lim n→∞ n xi ln(2 + xi2) δx, [0, 3] i = 1

[tex]\displaystyle\lim_{n\to\infty}\sum_{i=1}^n x_i \ln(2+{x_i}^2)\,\Delta x=\int_0^3x\ln(2+x^2)\,\mathrm dx[/tex]