Line integral of a scalar field

1. Feb 16, 2012

aaaa202

Okay this might be a nooby question, but it bothers me.

What is the difference between the line integral of a scalar field and just a regular integral over the scalar field?

For a function of one variable i certainly can't see the difference. But then I thought they might be identical in this case. Is that true?
Because then I can see that in n dimensions where n≠1, you can generally choose infinately many paths between 2 points.

2. Feb 17, 2012

HallsofIvy

Staff Emeritus
If the "field" is one dimensional, there cannot be a difference. If the field has dimension 2 or higher, there are an infinite number of different paths through the field.