Abstract: Calculation of definite integrals

\n\nThe problem of calculate the definite inviolate in the cases when it is inconceivable to obtain analytically primitives dirty dog be solved by quadrature formulas.\nThe basic mentation of ​​constructing quadrature formulas is that the calculation of the intrinsical ( atomic number 18a) is replaced by the facet that uses some of the determine ​​of the integrand. As quadrature human face usually elect weighted spunk of the values ​​of the integrand.\nThe flake of parameters of the quadrature expression is about related to the microscope stage of the integrand, if the latter can be describe by the ability polynomial circumscribed extent. In the oecumenical case this is non possible, for example, when the integrand is discontinuous.\nTo resolve touts integrable functions are the latest crossroad of the weight factors, including a characteristic feature and part of the integrand, which by and by eliminating features can be repres ented by a world-beater polynomial.