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1·OK, so there's the line integral.

这就是线积分了。

2·We have a line integral along a curve.

对于沿曲线的线积分。

3·This side here is a usual line integral.

这边是普通的线积分。

4·A line integral for flux just becomes this.

求通量的线积分就变成这样了。

5·And we will evaluate the line integral for work.

为了求做功，我们要计算线积分。

6·We say that the line integral is path independent.

我们称之为线积分与积分路径无关。

7·So that will be the line integral of Pdx plus Qdy.

这就变成了Pd x + Qdy的线积分。

8·Well, we cannot really think of flux as a line integral.

那就无法把通量想成线积分了。

9·So, what it does actually is it computes a line integral.

它实际上做的是计算线积分。

10·The line integral was actually the work done by the force.

线积分的意义，就是这力所做的功。