Using Matlab

3. Use Gauss-Laguerre quadrature with n = 2, 4, 6, 8, 10 node points to evaluate the following integrals using e"f (r)dr Note that the node points xi are the roots of the Gauss-Laguerre polynomial Ln(x) of degree n and the weights are given by 2 0 sin x 0 Hint: You can use Matlab for the nodes and weights: for p-1:5 n(p)-2*p; syms x Xvalstp)-roots (sm2poly (1aguerrel, (n (p?,x) ) ) ; weights(p)-xvalstp} . / ( (n (p) +1 ) ^2+1aguerreL (n (p) +1 , xva1stpr?, ^2) ; end 3. Use Gauss-Laguerre quadrature with n = 2, 4, 6, 8, 10 node points to evaluate the following integrals using e"f (r)dr Note that the node points xi are the roots of the Gauss-Laguerre polynomial Ln(x) of degree n and the weights are given by 2 0 sin x 0 Hint: You can use Matlab for the nodes and weights: for p-1:5 n(p)-2*p; syms x Xvalstp)-roots (sm2poly (1aguerrel, (n (p?,x) ) ) ; weights(p)-xvalstp} . / ( (n (p) +1 ) ^2+1aguerreL (n (p) +1 , xva1stpr?, ^2) ; end