What is the result of ∫C∇f⋅dr\int_C \nabla f \cdot d\mathbf{r}∫C∇f⋅dr if CCC starts at AAA and ends at BBB?
f(B)−f(A)f(B) - f(A)f(B)−f(A)
f(A)−f(B)f(A) - f(B)f(A)−f(B)
000
The length of the path CCC