Simpson's Rule, we have 2 h | = S (*0) + 4f(r1) + f(r2)] 90 20 where there are three nodes: To, 1; and 12. where c in (xo, r2). Consider the composite Simpson's Rule using n = 2m, h = 4, T; = a + ih,...

Extracted text: Simpson's Rule, we have 2 h | = S (*0) + 4f(r1) + f(r2)] 90 20 where there are three nodes: To, 1; and 12. where c in (xo, r2). Consider the composite Simpson's Rule using n = 2m, h = 4, T; = a + ih, i = 0, 1, 2, .. , 2m. %3! Show that m f(x)dr = E (2-2) + 4f(#2i-1) + f(x2.)] – 90 i=1 m-1 = f (r0) + 2f(72.) + 4f(r2-1) + f(x) 180- h4 3-a)f(4) (c) i=1 i=1 The question of numerical integration based on interpolation. Thank you!