i

seg

seg

a

i=c+r

i=Trapez-Segment

b

m

a

b

m

a

m

b

a

m

b

v: 6
p(x) = (x - v)^(2) + 1
S = Extremum(p)
f(x) = x^(2)
a = -1.5
b: 2
c = Integral(f, a, b)
A': (a, f(a))
B': (b, f(b))
g = Line(A', B')
g
d = Integral(g, a, b)
h(x) = ((x - a) * (b + a)) + a^(2)
q(x) = (x - 1)^(2) + y(S)
C: (a + v, p(a + v))
D: (b + v, p(b + v))
C': (a + v, y(S))
D': (b + v, y(S))
C'': (a + v, 0)
D'': (b + v, 0)
r, d', c', c'', d'' = Polygon(D', C', C'', D'')
m: (a + b) / 2 + v
M: (m, 0)
M': (m, p(m))
F: (x(D) - v + 1, y(D))
E: (x(C) - v + 1, y(C))
j = Segment(E, F)
k = Segment(C, D)
l = Line(C, D)
n = Line(E, F)
r_1 = Segment(M', M)
t = Integral(q, x(E), x(F))
i = Integral(p, a + v, b + v)
l
o = IntegralBetween(l, p, a + v, b + v)
e = Segment(M', M)
m': m - v
M'': (m', 0)
M''': (m', f(m'))
f_1 = Segment(M'', M''')
M_4: (m - v + 1, 0)
M_4': (x(M_4), q(x(M_4)))
g_1 = Segment(M_4', M_4)
h_1 = Line(M_4', j)
i_1 = Line(M', h_1)
n
s = IntegralBetween(n, q, x(C) - v + 1, x(D) - v + 1)
j_1 = OrthogonalLine(C, xAxis)
k_1 = OrthogonalLine(D, xAxis)
l_1 = OrthogonalLine(F, xAxis)
m_1 = OrthogonalLine(E, xAxis)
G = Intersect(j_1, i_1)
H = Intersect(k_1, i_1)
n_1 = Line(M_4', n)
A = Intersect(n_1, l_1)
B = Intersect(n_1, m_1)
v1, e_1, b_1, a_1, f_2 = Polygon(E, B, A, F)
v2, c_1, g_2, h_2, d_1 = Polygon(C, G, H, D)
p_1: y = -0.8