An integral curve along a simple closed curve is called

Answer 1

An integral curve along a simple closed curve is called a tangent curve or a trajectory. In the context of vector fields, it represents the paths traced out by points that move along the vector field's direction. Such curves can be seen as solutions to a differential equation associated with the vector field. If you're considering the mathematical properties related to dynamical systems, the integral curves exhibit the behavior of particles or systems as they evolve over time.