Problems: Line Integrals and Their Applications

In this chapter, the basic and advanced problems of line integrals and their applications are presented. The subjects include parametric curve, work done by a force on a moving object, vector force, conservative force, Green’s theorem, piecewise smooth and simple closed curve, cartesian coordinate system, and polar coordinate system. In this chapter, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Additionally, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.