fundamental theorem of calculus for line integrals in Portuguese

(calculus) A generalization of the fundamental theorem of calculus to line integrals of vector fields, which states that the line integral of a conservative vector field along a path can be computed by evaluating the potential function at the endpoints of the path. Specifically, given a potential function f with continuous first partial derivatives on an open region R containing a curve C parameterized by \mathbf{r}(t) for a \leq t \leq b: