f(x) = x^2 - 3·x + 2
F(x) = x^3/3 - 3·x^2/2 + 2·x
Nullstellen f(x) = 0
x^2 - 3·x + 2 = 0 --> x = 2 ∨ x = 1
Teilflächen
∫ (0 bis 1) f(x) dx = F(1) - F(0) = 5/6
∫ (1 bis 2) f(x) dx = F(2) - F(1) = - 1/6
∫ (2 bis 3) f(x) dx = F(3) - F(2) = 5/6
Fläche
A = 5/6 + 1/6 + 5/6 = 11/6 = FE