This is a beta course, so its structure, chapters, and examples may continue to change.

Application Properties of Integrals

Useful application-oriented properties.

1. 平均值

Average of $f$ on $[a,b]$ : $\frac{1}{b-a}\int_a^b f(x) dx$

For a pdf $f(x)$ , probability on $[a,b]$ is $\int_a^b f(x)\,dx$ .

Energy is the integral of power in physics.

符号说明

符号	类型	读音/说明	在本文中的含义
$\int$	数学符号	integral	积分符号