line integral of a scalar field (Q116784211)

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integral of a scalar field along a path

• path integral

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Language	Label	Description	Also known as
English	line integral of a scalar field	integral of a scalar field along a path	path integral

Statements

subclass of

line integral

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defining formula

${\displaystyle \int _{\boldsymbol {c}}f\,\mathrm {d} s=\int _{a}^{b}f({\boldsymbol {c}}(t))|{\boldsymbol {c}}'(t)|\mathrm {d} t}$

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in defining formula

${\displaystyle \int _{\boldsymbol {c}}f\,\mathrm {d} s}$

symbol represents

line integral of a scalar field

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${\displaystyle {\boldsymbol {c}}}$

symbol represents

path

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${\displaystyle f}$

symbol represents

scalar field

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${\displaystyle \int _{a}^{b}f(x)\,\mathrm {d} x}$

symbol represents

definite integral

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${\displaystyle '}$

symbol represents

derivative

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${\displaystyle |{\boldsymbol {x}}|}$

symbol represents

vector length

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maintained by WikiProject

WikiProject Mathematics

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different from

path integral

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line integral of a vector field

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Identifiers

Digital Library of Mathematical Functions ID

1.6.E37

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MathWorld ID

PathIntegral

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Sitelinks

Wikipedia(1 entry)

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• enwiki Line integral of a scalar field

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