ABSTRACT
I[/] = 1" w(x)f(x) dx where w(x) is a specified positive function. To numerically approximate I[/] for different functions f(x), we choose to use a quadrature rule of the form
I[/] :::: L wif(x;) (68.1) i=l
where the weights {w;} and the nodes {x;} are to be determined. These values are determined by requiring that (68.1) be exact when /(x) is a polynomial of low degree.
