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# line integral

## noun

,

*Mathematics.*- the limit, as the norm of the partition of a given curve approaches zero, of the sum of the product of the length of the arcs in the partition times the value of the function at some point on each arc.

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## Word History and Origins

Origin of line integral^{1}

First recorded in 1870–75

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## Example Sentences

Thus results of greater certainty might be hoped for from the application of the line integral to well surveyed countries.

From Project Gutenberg

(i.) Any simple integral can be regarded as a line-integral taken along a portion of the axis of x.

From Project Gutenberg

The line integral of a perfect differential of a one-valued function, taken along any closed curve, is zero.

From Project Gutenberg

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