Math 22 Antiderivatives and Indefinite Integrals

Antiderivatives

 A function $F$ is an antiderivative of a function $f$ when for every Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle x}
 in the domain of $f$, 
 it follows that $F'(x)=f(x)$

 The antidifferentiation process is also called integration and is denoted by $\int$ (integral sign).
 $\int f(x)dx$ is the indefinite integral of $f(x)$

 If $F'(x)=f(x)$ for all $x$, we can write:
 $\int f(x)dx=F(x)+C$ for $C$ is a constant.

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