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.

First recorded in 1870–75

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.

April 19, 2024tortuous

[tawr-choo-uhs ]

Start each day with the Word of the Day in your inbox!

By clicking "Sign Up", you are accepting Dictionary.com Terms & Conditions and Privacy Policies.

Browse