Meaning of fundamental theorem of calculus for line integrals | Babel Free

Definitions

A generalization of the fundamental theorem of calculus to line integrals of vector fields, which states that the line integral of a conservative vector field along a path can be computed by evaluating the potential function at the endpoints of the path. Specifically, given a potential function f with continuous first partial derivatives on an open region R containing a curve C parameterized by mathbf r(t) for a≤t≤b

Equivalents

Examples

“∫_C∇f·d mathbf r=f( mathbf r(b))-f( mathbf r(a)).”

CEFR level