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# line integral

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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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## Origin of line integral

First recorded in 1870â€“75

## Words nearby line integral

line fish, line gale, line gauge, line-haul, line-hauler, line integral, Line Islands, line item, line-item veto, Lineker, lineman

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, Â© Random House, Inc. 2023

## How to use line integral in a sentence

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

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

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