What is the definition of a line integral?

[coverband]

How would you DEFINE the line integral:

int_aroundc[P(x,y)dx + Q(x,y)dy]

 

[Defennder]

What's that supposed to mean? Isn't it already defined as you have written it?

 

[coverband]

That what I thought but I think there's some definition with limits and zeta and stuff...

 

[HallsofIvy]

You would define such an integral by choosing a parameterization for the path. Then it reduces to a regular integral in terms of the parameter. I don't know what "zeta" has to do with it but all the limits are hidden in the definition of the regular integral.