2. Evaluate the integral below using 3 x 3 Gauss-Legendre quadrature: 1 = ſ' ſ'‚ (5+n² 5² +n* )d¸àn Solutions: In 3 Gauss-Legendre quadrature, the 3 points and their corresponding weight coefficients are given in Lecture 11: Table 1: Gauss quadrature points and weighting values Number 1 2 3 Quadrature point -√3/5 0.0 +√3/5 Weight coefficients wi 5/9 8/9 5/9 The 3 Gauss quadrature points and weighting values along the direction can be given as follows Table 2: Gauss quadrature points and weighting values Number 1 2 3 Quadrature point - √3/5 0.0 +√√3/5 Weight coefficients w 5/9 8/9 5/9