So, these are special cases of what's called the fundamental theorem of calculus for line integrals.

这些都是反映了,线积分的微积分基本定理的特例。

On the other hand, they also supply a brief material for the teaching of the fundamental theorem of calculus.

另一方面，也为微积分学基本定理的教学，提供了简明的材料。

So, the fundamental theorem of calculus, not for line integrals, tells you if you integrate a derivative, then you get back the function.

微积分基本定理，不是曲线积分的，告诉我们，如果对函数的导数积分，就会得回原函数。