fundamental theorem of calculus for line integrals
properNoun
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- (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:
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teorema fundamental para as integrais de linha
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