Speakur

Word Pronunciation & Dictionary

fundamental theorem of calculus for line integrals

Word Rarity Rare

Frequency: Zipf frequency 2.55 in modern English

Syllables
fun-da-men-tal the-o-rem of -cal-cu-lus -for -line in-te-grals
IPA
66
Scrabble Score
44
Letters
13
Syllables
16
Unique Chars

Meaning

name

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

Example Sentences

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

Inflected Forms

the fundamental theorem of calculus for line integrals (canonical)

Questions

What does fundamental theorem of calculus for line integrals mean?
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

How to pronounce fundamental theorem of calculus for line integrals

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