\frac{1}{8}

\frac{1}{8}

\frac{3}{8}

\frac{3}{8}

\frac{1}{6}

\frac{1}{6}

\frac{4}{6}

\frac{1}{48}

\frac{1}{48}

\frac{1}{48}

\frac{1}{48}

\frac{1}{12}

\frac{1}{12}

\frac{1}{16}

\frac{1}{16}

\frac{1}{16}

\frac{1}{16}

\frac{1}{4}

\frac{1}{4}

a

b

x_1

x_2

c

d

y_1

Numerisches Raumintegral

A = (1, 1)
B = (1, 3)
C = (4, 1)
D = (4, 3)
v1, b, a, c, d = Polygon(B, A, C, D)
E = Point(b)
F = (2, 2)
G = (3, 2)
H = Point(c)
I = Point(d)
J = Point(d)
K = Point(a)
L = Point(a)
f(x, y) = (x - 2)^(2) + (1 / 2 * (y - 3)^(2)) - 7
A': (x(A), y(A), f(x(A), y(A)))
B': (x(B), y(B), f(x(B), y(B)))
C': (x(C), y(C), f(x(C), y(C)))
D': (x(D), y(D), f(x(D), y(D)))
fa = Segment(A, A')
fb = Segment(B, B')
fc = Segment(C, C')
fd = Segment(D, D')
H': (x(H), y(H), f(x(H), y(H)))
I': (x(I), y(I), f(x(I), y(I)))
J': (x(J), y(J), f(x(J), y(J)))
K': (x(K), y(K), f(x(K), y(K)))
E': (x(E), y(E), f(x(E), y(E)))
F': (x(F), y(F), f(x(F), y(F)))
G': (x(G), y(G), f(x(G), y(G)))
L': (x(L), y(L), f(x(L), y(L)))
h = Segment(E, E')
i = Segment(F, F')
j = Segment(G, G')
k = Segment(H, H')
l = Segment(I, I')
m = Segment(J, J')
n = Segment(K, K')
p = Segment(L, L')
g(x, y) = If[1 ≤ x ∧ x ≤ 4 ∧ 1 ≤ y ∧ y ≤ 3, f(x, y)]
M = (3.202275289386058, -0.8662427625306276)
N = (3.783244335023294, -0.8662427625306276)