Complex sentence: The work of a force acting on a moving body yields a difference in potential energy when the integration of the work is path v of its point of application defines the power input to a system at an instant of time.
Split into simpler sentences: The work of a force acting on a moving body yields a difference in potential energy when the integration of the work is path independent. The scalar product of a force F and the velocity v of its point of application defines the power input to a system at an instant of time.