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 1870–75
Words nearby line integral
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020
Example sentences from the Web for line integral
(i.) Any simple integral can be regarded as a line-integral taken along a portion of the axis of x.