 As there is no closed-form formula for the quadrature weights and nodes, for many decades people were only able to use hand-compute them for small "n", and computing the quadrature had to be done by referencing tables containing the weight and node values.By 1942 these values were only known for up to "n"=16.For integrating "f" over formula_2 with Gauss-Legendre quadrature, the associated orthogonal polynomials are Legendre polynomials, denoted by .