d

d

a

b

f(x)=f_0(x)+h

c

\int_a^b f = \int_a^c f+\int_c^b f

=

+

negativ

negativ

Ziehe c

c = 3.5515449381629414 (slider from -5 to 5, step 0.2)
h = 0.4 (slider from -5 to 5, step 0.1)
a_4 = 3.5
a_3 = 4
a_2: 1
a_1: 0.5
a: 1
t = 0.2
b = 3
f_0(x) = ((((t * (x - a_1)) * (x - a_4)) * (x - a_2)) * (x - a_3))
f(x) = f_0(x) + h
Int_{ab} = Integral(f, a, b)
D = Roots(f, a, b)
Int_{db} = Integral(f, x(D), b)
Int_{ac} = Integral(f, a, c)
Su: Int_{ac} + Int_{db}
A: (a, 0)
B: (b, 0)
Int0_{ab} = Integral(f_0, a, b)
Int_{cd} = Integral(f, c, b)
C: (c, 0)
E: (1.25, 1.75)
F = (1.75, 1.75)
G = (1.75, 1.5)
H = (1.25, 1.5)
v1, e, f_1, g, h_2 = Polygon(E, F, G, H)
I = (2.25, 1.74)
J = (2.25, 1.5)
K = (2.75, 1.5)
L = (2.75, 1.75)
M = (3, 1.75)
O = (3, 1.5)
Q = (3.5, 1.5)
R = (3.5, 1.75)
v2, i_1, j, k, l = Polygon(I, J, K, L)
v3, m, o, q, r = Polygon(M, O, Q, R)
T = (4.854625631960708, 2.3243521132460545)
U = (5.37856209769003, 2.3243521132460545)