Answer Happy

Posted: **Sun May 15, 2022 11:15 pm**

: Number Of Points Locations X 1 2 3 X 0 000 1 X2 0 57735026918962 X1 X3 0 77459666924148 X2 0 000 X1 X 1 (17.61 KiB) Viewed 38 times

: Number Of Points Locations X 1 2 3 X 0 000 1 X2 0 57735026918962 X1 X3 0 77459666924148 X2 0 000 X1 X 2 (36.1 KiB) Viewed 38 times

Number of Points Locations, X 1 2 3 x = 0.000... 1.X2 = +0.57735026918962 X1, X3 = +0.77459666924148 X2 = 0.000... X1, X4 = +0.8611363116 X2, X3 = +0.3399810436 Associated Weights, W 2.000 1.000 0.555... = 0.888... 0.3478548451 0.6521451549
5. (10 pts) a) Evaluate the integral ',(x2 + 8)?dx to 5 digits of precision using a 2-point GQ scheme rædx = f(x (x)dx = i=1 Number of Points Locations, 1 2 3 10.000... x1, x2 = +0.57735026918962 X1,3 = +0.77459666924148 x3 = 0.000... *1,X4 = +0.8611363116 X2, X3 = 10.3399810436 Associated Weights, W 2.000 1.000 0.555 -0.888 0.3478548451 0,6521451549 b). How many Gauss points are needed to integrate exactly the above function?