Math 22 Antiderivatives and Indefinite Integrals

Antiderivatives

 A function $F$ is an antiderivative of a function $f$ when for every $x$ 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle F'(x)=f(x)}
 for all $x$, we can write:
 $\int f(x)dx=F(x)+C$ for Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle C}
 is a constant.

Return to Topics Page

This page were made by Tri Phan