Integration rules
In calculus, the following rules apply to the integration of functions.
Rules of Integration
- Power Rule (Potenzregel): \[f(x) = a \cdot x^{n} \implies F(x) = \frac{a}{n+1} \cdot x^{n+1} + c \]
- Constant Factor Rule (Faktorregel): \[ \int c \cdot f(x)dx = c \cdot \int f(x)dx \]
- Sum Rule (Summenregel): \[ \int (f(x) \pm g(x))dx = \int f(x)dx \pm \int g(x)dx \]
- Special Case (Sonderregel): \[ \int \frac{f'(x)}{f(x)}dx = ln f(x) + c \]