A quick query regarding the significance of integrating V.dx along some line (i.e. the dx is vectorial as well as the field V). Does this mean you dot product V with idx or something else?
Thanks
If the problem really does say " ", then, yes, that is the integral in the x direction and so should be the unit vector [itex]\vec{i}[/itex].
More common is [tex]\int \vec{V}\cdot d\vec{s}[/itex] which is the dot product of [itex]\vec{V}[/itex] with the differential along the direction of the curve- the differential times the unit tangent vector to the curve.