Integralfunktion

I_a(t) \; = \;  \int_{a }^{t }f(x)dx 

Variation der Integrandenfunktion f: 

Integral-Untergrenze:

Integral-Obergrenze:

blau: Integrandenfunktion f

rot / grau: Integralfunktion I_a

(haj v 1.0)

d = 0 (slider from -1 to 2, step 0.25)
f(x) = (1 / 3 x^(3) - 17 / 2 x^(2) + 60 x) / 25 + d - 4
a = 4 (slider from -2 to 12, step 0.2)
t = 8 (slider from -4 to 18, step 0.2)
F = Integral(f(x))
Fa = Function(F(x) - F(a), a, t)
Fb = Function(F(x) - F(a), t, a)
Fi(x) = F(x) - F(a)
Integr = Integral(f(x), a, t)
P: (t, Integr)
lks = Segment((a, 0), (a, f(a)))
rts = Segment((t, 0), (t, f(t)))
T6: "hier: \; \;   I_" + a + "(t) \; =  \;  \int_{" + a + " }^{t }f(x)dx"