a

b

Int_{ab}

h

f(x)=f_0(x)+h

g(h)=\int_a^b(f_0(x)+h)\,dx

Int von h

rechts, Fenster 2

t = -0.5 (slider from -5 to 5)
a: 1
b = 4
a_1: 0.5
a_2: 3
a_3: 4.2
a_4: 1.5
h = 0.6 (slider from -5 to 5, step 0.1)
f_0(x) = ((((t * (x - a_1)) * (x - a_4)) * (x - a_2)) * (x - a_3)) + 1
f(x) = f_0(x) + h
Int_{ab} = Integral(f, a, b)
A: (a, 0)
B: (b, 0)
w_h: y = h
In: (h, Int_{ab})
h_1 = Segment((h, 0), In)
H: (0, h)
c = Integral(f_0(x) - h + 1, a, b)
O: (0, 0)
j = Segment(H, O)
C: (h, 0)
i = Segment(O, C)
IntVonH = Locus(In, h)
d = true
D = (0.10953003167529757, 2.4239429940966786)
E = (0.5644316681955437, 2.4239429940966786)