求通量的线积分就变成这样了。

A line integral for flux just becomes this.

youdao

如果给定一条封闭曲线，那么求所做功的线积分为零。

If we have a closed curve then the line integral for work is just zero.

youdao

求S上zdxdy的二重积分。

We will end up with double integral on S of z dxdy.

youdao

The basic idea in solving these equations and integrating is you find one answer, so then when you take enough derivatives, the function does what it's supposed to do.

解决这类方程以及积分的基本思想就是,你求出一个解,然后进行多次求导,求导的结果就满足条件

耶鲁公开课 - 基础物理课程节选