Question 6. [8 points] (The two parts of this question are indepen dent.) (a) Use Gaussian Quadrature of order 3 to estimate the value of the definite integral: 3 J = In(1 + x- ) dx Round the coefficients and values of the nodes to 4 decimal places. (b) Consider the three data points: (0.4, 0.1484), (0.6, 0.3075), (0.8, 0.4947). Find the Lagrange interpolation polynomial p2(x) (with coefficients rounded to 4 decimal places) that passes through the three points