- #1

chiyu

- 5

- 2

And then we can write the line element by differentiating to get

We can then use this to do a line integral with a vector field along any path. And this seems to be what is done on all questions I've seen.However, if we are given the equations of the path, and it say rho is dependant on the other coordinates, wouldn't that change what dr is? For example:

Wouldn't this be the right equation? Or am I misunderstanding something?