Intervalladditivität des Integrals

+ _____________________________________

linke Grenze a :

rechte Grenze b :

Aufspaltung bei c :

(haj v 1.1)

f(x) = -1 / 52272 x^(5) + 5 / 5808 x^(4) - 125 / 17424 x^(3) - 15 / 176 x^(2) + 75 / 121 x + 3
a = 1 (slider from -2 to 20, step 0.5)
b = 11 (slider from -2 to 20, step 0.5)
c = 8 (slider from -2 to 20, step 0.5)
lks = Segment((a, 0), (a, f(a)))
m = Segment((c, 0), (c, f(c)))
rts = Segment((b, 0), (b, f(b)))
I_{ab} = Integral(f, a, b)
I_{ac} = Integral(f, a, c)
I_{cb} = Integral(f, c, b)
T2: "\int_{a }^{c }f(x)dx \;  \; = \;  \; " + I_{ac}
T3: "\int_{c }^{b }f(x)dx \;  \; = \;  \; " + I_{cb}
T4: "\int_{a }^{b }f(x)dx \;  \; = \;  \; " + I_{ab}