## 10.1 Algebraic Properties of Antiderivatives

#### Algebraic Properties of Indefinite Integrals

- There are a few algebraic properties for antiderivatives:

i) Sum

\int f(x)+g(x) d x=\int f(x) d x+\int g(x) d x

ii) Difference

\int f(x)-g(x) d x=\int f(x) d x-\int g(x) d x

iii) Scalar Multiple

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