>>13793152Its been half a year since I read about line integrals, but in my understanding:
If you have a 2d Line Integral, like in the picture, then your domain is a plane, thus your line can't be a helix, your range is a surface tho, in the picture, you can see both the domain and the range, if you project the line on the surface onto the xy plane we have your line, along which we integrate. Again if we have some tuple xy, it describes the position along the line, if we plug this xy into our function we have the "height", you can interpret this height as the density of the line at any given point, or its temperature.
If we have a 3d line integral, we can have a helix, because its domain is a volume, its range hovewer is in 4d, normally we cant imagine the range in 4d but it works the same way, you have xyz, the position on the line, and the function gives you its "height", which again could be its density, or temperature.
We almost always parametrisize the curve so that our line has only one independent variable, time, which makes the integration alot simpler.
If this is partially or completly wrong, please correct.
