Gaussian Quadratures for the Integrals � ∞ 0 exp(-x 2 )f(x)dx and � b 0 exp(-x 2 )f(x)dx

Gaussian quadratures are developed for the evaluation of the integrals given in the title. The weights and abscissae for the semi-infinite integral are given for two through fifteen points with fifteen places. For b = 1, the weights and abscissae are given for two through ten points with fifteen places.