line integral of a scalar field

integral of a scalar field along a path

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line integral of a scalar field

Summary

Key Facts

line integral of a scalar field is a type of line integral^[1].
line integral of a scalar field's different from is recorded as path integral^[2].
line integral of a scalar field's different from is recorded as line integral of a vector field^[3].
line integral of a scalar field's maintained by WikiProject is recorded as WikiProject Mathematics^[4].

Body

Definition and Type

line integral of a scalar field is a type of line integral^[1].

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Quick Facts

Subclass of line integral

Properties

Defining formula \int_{\boldsymbol{c}} f \, \mathrm{d}s = \int_a^b f(\boldsymbol{c}(t)) |\boldsymbol{c}'(t)| \mathrm{d}t

Different from path integral, line integral of a vector field

Imported from wholeness_audit_2026-05-02

In defining formula \int_{\boldsymbol{c}} f \, \mathrm{d}s, \boldsymbol{c}, f, \int_a^b f(x) \, \mathrm{d}x, ', |\boldsymbol{x}|

Maintained by wikiproject WikiProject Mathematics

External References (2)

Digital library of mathematical functions id 1.6.E37

Mathworld id PathIntegral

References

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APA

4ort.xyz Knowledge Graph. (2026). line integral of a scalar field. Retrieved May 7, 2026, from https://4ort.xyz/entity/line-integral-of-a-scalar-field

MLA

“line integral of a scalar field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/line-integral-of-a-scalar-field.

BibTeX

@misc{4ortxyz_line-integral-of-a-scalar-field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{line integral of a scalar field}}, year = {2026}, url = {https://4ort.xyz/entity/line-integral-of-a-scalar-field}, note = {Accessed: 2026-05-07}}

LLM prompt

According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): line integral of a scalar field — https://4ort.xyz/entity/line-integral-of-a-scalar-field (retrieved 2026-05-07)

Canonical URL: https://4ort.xyz/entity/line-integral-of-a-scalar-field · Last refreshed: May 7, 2026