travelintegral
Travel integral is a term used in mathematical modeling to describe the accumulation of a quantity along a travel path. It behaves similarly to a line or path integral in calculus but is often used in the context of transportation, navigation, or movement analysis to capture quantities that are transported or accumulated as an object travels.
For a parametric path r(t), t in [a,b], and a scalar field f defined along the path,
As an application, travel integrals are used in transportation planning to quantify total exposure to a pollutant
The term is not standard in all texts; in many areas a path or line integral is