Calc Num Prato 03

The document defines the Riemann integral and numerical integration methods. It discusses approximating integrals using Riemann sums and numerical quadrature formulas. Quadrature formulas calculate approximations of integrals by taking weighted sums of the integrand evaluated at specific nodes. Higher order formulas have higher precision by exactly integrating more terms of the Taylor series expansion. Interpolatory formulas use interpolation polynomials as the basis functions.