(1)Derive, algebraically, the 2nd order (Simpson's Rule) integration formula using 3 equally spaced sample points, f_{0},f_{1},f_{2} with an increment of h.
(2) Using software such as Mathematica to find the 8th-order integration rule using 9 equally spaced sample points f_{0},f_{1},f_{2},f_{3},f_{4},f_{5},f_{6},f_{7},f_{8}. Copy and paste the computer results into a printable file.