The expression w = ∫ f • dr represents the work done by a force field f along a curve C, where dr is a differential element of the curve. This concept links the force exerted on an object to the movement along a specified path, emphasizing how work can vary based on both the nature of the force and the trajectory taken. This integral evaluates the cumulative effect of the force acting along the path from a starting point to an endpoint.
congrats on reading the definition of w = ∫ f • dr. now let's actually learn it.