a = 0
gla: x = a
E = Point(gla)
b = 12
h: (b - a) / 3
gl2: x = a + (2 * h)
D = Point(gl2)
gl1: x = a + h
C = Point(gl1)
glb: x = b
F = Point(glb)
f = Polynomial({E, C, D, F})
C': (a + h, 0)
D': (a + (2 * h), 0)
B: (b, 0)
F_{2} = (1.8600000000000017, -6.971999999999977)
G = (12.084000000000014, -6.971999999999977)
c: (3 * h / 8)
A: (a, 0)
A1: a
A2: A1 + c
A3: A2 + c
A4: A3 + c
A5: A4 + c
A6: A5 + c
A7: A6 + c
A8: A7 + c
A9: A8 + c
B1: 0
B2: 0.00000000000000
B3: 0.00000000000000
B4: 0.00000000000000
B5: 0.00000000000000
B6: 0.00000000000000
B7: 0.00000000000000
B8: 0.00000000000000
B9: 0.00000000000000
H: (A1, B1)
I: (A2, B2)
J: (A3, B3)
K: (A4, B4)
L: (A5, B5)
M: (A6, B6)
N: (A7, B7)
O: (A8, B8)
P: (A9, B9)
l1: {H, I, J, K, L, M, N, O, P}
C1: a
C2: C1 + c
C3: C2 + c
C4: C3 + c
C5: C4 + c
C6: C5 + c
C7: C6 + c
C8: C7 + c
C9: C8 + c
D1: f(C1)
D2: f(C2)
D3: f(C3)
D4: f(C4)
D5: f(C5)
D6: f(C6)
D7: f(C7)
D8: f(C8)
D9: f(C9)
Q: (C1, D1)
R: (C2, D2)
S: (C3, D3)
U: (C4, D4)
V: (C5, D5)
W: (C6, D6)
Z: (C7, D7)
A_1: (C8, D8)
B_1: (C9, D9)
l2: {Q, R, S, U, V, W, Z, A_1, B_1}
g = Segment(E, Q)
i = Segment(R, I)
j = Segment(S, J)
l = Segment(U, K)
m = Segment(V, L)
n = Segment(W, M)
p = Segment(Z, N)
q = Segment(A_1, O)
r = Segment(B_1, P)
s = Segment((x(L), y(D)), (x(O), y(D)))
t = Segment((x(I), y(C)), (x(L), y(C)))
d = Segment((x(A), y(Q)), (x(I), y(Q)))
e = Segment((x(O), y(F)), (x(P), y(F)))
C_1: (x(I), y(C))
D_1: (x(L), y(C))
E_1: (x(L), y(D))
F_1: (x(O), y(D))
G_1: (x(O), y(F))
H_1: (x(I), y(Q))
v1, a_1, i_1, h_1, b_1 = Polygon(A, I, H_1, E)
v2, i_2, l_1, d_1, c_1 = Polygon(I, L, D_1, C_1)
v3, l_2, o, f_1, e_1 = Polygon(L, O, F_1, E_1)
v4, o_1, e', e_2, g_1 = Polygon(O, B, F, G_1)
w_a: f(a)
w_b: f(b)
w_C: y(C)
w_D: y(D)
Int_a = Integral(w_a, a, a + c)
Int_{C} = Integral(w_C, a + c, a + (4 * c))
Int_b = Integral(w_b, b - c, b)
Int_{D} = Integral(w_D, b - (4 * c), b - c)
Int_{echt} = Integral(f, a, b)
Text1: "Int_{echt}=" + Int_{echt} + ""
Int_{Newton}: Int_a + Int_{C} + Int_{D} + Int_b
Text2: "Int_{Newton}=" + Int_{Newton} + ""