Simpson' Rule (the Parabolic Rule)?

Question

Use Simpson's Rule (the Parabolic Rule) and all the data in the following table to estimate the value of the integral

∫ (low: -19, up: -13) ydx

x -19 -18 -17 -16 -15 -14 -13
y 0 -6 0 3 -6 3 -7

Answer 1

S = (b - a)[f(a) + 4f(a/2 + b/2) +f(b)]/6
. x .. f . S
-19 . 0
-18 - 6 - 3
-17 . 0 - 3
-16 . 3 . 1.5
-15 - 6 - 1.5
-14 . 3 - 1.5
-13 - 7 - 2
----------------
. . . . . . - 9.5

Answer 2

Parabolic Rule