1. The problem statement, all variables and given/known data approximate this integral: [tex]\oint[/tex] e^(-(x^2)) from 0 to 4 using Gaussian Quadrature with n = 3 2. Relevant equations can be found at: http://en.wikipedia.org/wiki/Gaussian_quadrature 3. The attempt at a solution n = 3 coefficients: c(1) = c(3) = 5/9, c(2) = 8/9 roots of a polynomial: xi = +/- (3/5)0.5, 0 now I plugged it into the "change of interval" form of the formula (found in wikipedia) and I got an answer of 0.939335, which still seems to be "off", but at least better than using the composite trapezoid way. Is this number right? Because generally when I do this, I get numbers that are pretty much bang on, or at the very least get 2 digits correct!