Dictionary

fundamental theorem of calculus for line integrals en · PROPN

Meanings

1. 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≤t≤b
   • ∫_C∇f·d mathbf r=f( mathbf r(b))-f( mathbf r(a)).

Forms

Translations (5)

es teorema fundamental de las integrales de línea (theorem) · es teorema fundamental para integrales de línea (theorem) · fr théorème fondamental des intégrales curvilignes (theorem) · bg фундаментална теорема на криволинейните интеграли (theorem) · pt teorema fundamental para as integrais de linha (theorem)