Calculating Line Integral from Potential Function of Vector F

[-EquinoX-]

Homework Statement

If I know the potential function if a vector F can I calculate the line integral from point A to B using that potential function?

Homework Equations

The Attempt at a Solution

 

[Dick]

Absolutely.

 

[-EquinoX-]

just based on my understanding if I have the potential function then the line integral is just g(Q) - g(A). Where A is the starting point of the curve and Q is the ending point.. g is the potential function.. correct?

 

[Dick]

Right again. The line integral is path independent if the vector field has a potential.