Question: For N even, divide [a, b] into N subintervals of width x = b a/N. Set x j = a + j x, y

For N even, divide [a, b] into N subintervals of width Δx = b − a/N. Set xj = a + j Δx, yj = ƒ(xj), and

s2= b-a 3N (V2j + 4y2j+1 + y2j+2)

(a) Show that Sy is the sum of the approximations on the intervals [X2, X2j+2]that is, Sy = S + S2 + ... +

s2= b-a 3N (V2j + 4y2j+1 + y2j+2)

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