Properties of Integration
Fundamental Rules of Indefinite Integrals
Fundamental Properties
| Property Name | Formula / Result |
|---|---|
| Constant Multiple Rule ($$ k $$ is a constant) |
$$ \int k \cdot f(x) \, dx = k \int f(x) \, dx $$ |
| Sum & Difference Rule | $$ \int [f(x) \pm g(x)] \, dx = \int f(x) \, dx \pm \int g(x) \, dx $$ |
| Integration of 1 | $$ \int 1 \, dx = x + C $$ |
| Integration of Constant ($$ k $$) | $$ \int k \, dx = kx + C $$ |
| Integration of 0 | $$ \int 0 \, dx = C $$ (Result is purely a constant) |