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fundamental theorem of calculus for line integrals

fundamental theorem of calculus for line integrals proper noun: 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.

Proper noun

the fundamental theorem of calculus for line integrals

  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)).

Questions about fundamental theorem of calculus for line integrals

What does fundamental theorem of calculus for line integrals mean?
Fundamental theorem of calculus for line integrals means 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.
What part of speech is fundamental theorem of calculus for line integrals?
Fundamental theorem of calculus for line integrals is a proper noun.

Words near fundamental theorem of calculus for line integrals in the dictionary

  1. fundamental rights
  2. fundamental science
  3. fundamental theorem
  4. fundamental theorem of arithmetic
  5. fundamental theorem of calculus
  6. fundamental theorem of calculus for line integrals
  7. fundamental theorems
  8. fundamental unit
  9. fundamental units
  10. fundamentalism
  11. fundamentalisms

Source and license

Adapted from Wiktionary: fundamental theorem of calculus for line integrals (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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