1

\int_{a}^{a} f (x) d x = 0

2

\int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x = \int_{a}^{c} f (x) d x

Intervalladditivität

3

\int_{a}^{b} f (x) d x + \int_{a}^{b} g (x) d x = \int_{a}^{b} f (x) + g (x) d x

Summenregel

4

\int_{a}^{b} k * f (x) d x = k \int_{a}^{b} f (x) d x

Faktorregel