<p>Simpson</p>

18b26568-cdbf-455c-8fda-de6d432d70ae 13 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

ε 1010 -^:

X 0 2.5 2.5 0 + 660 + 7.5 10.4 71 mat :

Y 0 6.25 0.25 0.25 22.9 32.7 32.7 71 mat :

x F X Y x linterp :

x F x 0 X max lele *

x roundup1 x trunc 1 + x x trunc - 0 > x trunc cases :

l X max : 10.4

a.j 0.5 :

n l a.j / roundup1 : 21

<p>Simpson</p>

f a b n Int w s b a - (34 / 2 w * 1 - (* 14 / 2 w * 1 - (3^* - 12 / + (* a + : w G w s f 12 w * 1 - (2^- (* : α 0 : β 1 : h β α - n / : 14 mat Simpson 13 / h 2 / α G β G + (* h α k h * + G k 1 n 1 - sum * + (* 23 / h * α h 2 / - k h * + G k 1 n sum * + eval : 32 / b a - (* Simpson * 41 line :

x f x F :

m 1 : m n ≤ m m 1 + : h.i m el m 1 - (a.j * m a.j * + 2 / m a.j * l ≤ m 1 - (a.j * l + 2 / cases m * : for

f 3410 Int 0.25

m 1 : m n ≤ m m 1 + : k.i m el f m 1 - (a.j * m a.j * m a.j * l ≤ l cases 10 Int kN m / * : for

k.i kN m / 0.3125 0.9375 1.5625 2.1875 2.8125 0.125 0.125 0.125 0.125 0.125 0.125 0.125 12.2667 13.9 15.5333 16.35 16.35 16.35 16.35 16.35 13.08 211 mat

h.i m 0.25 0.75 1.25 1.75 2.25 2.75 3.25 3.75 4.25 4.75 5.25 5.75 6.25 6.75 7.25 7.75 8.25 8.75 9.25 9.75 10.2 211 mat