3. [8 points.) Consider the problem of approximating the integral 1 1m = f was) f(w)drc with weight function w(:c) = ln(%) on the integration interval (a,b) = (0,1). Derive the two point Gaussian quadrature formula (n = 2) for this problem, that is, specify the numerical values of the two nodes 331, 62 and weights M1, M2. (State your result clearly in the form of a quadrature rule [2( f) = w1f(:c1) + 102 f (232) with the nodes ordered naturally, that is, 231