Topic: Work and Vector Line Integrals

Gravitational Work Along Prescribed Paths

The Work-Energy Theorem Along a Trajectory

Spring Force Work Along Curved Paths

Closed-Curve Integrals and Circulation

Circulation Around Circles in Rotational Fields

Additivity Over Piecewise Smooth Curves

Work Across Piecewise-Defined Force Fields

Reversing Orientation Changes the Sign

Reparametrization Invariance

Variable Force Along a Straight Segment