ABSTRACT

In differential calculus we have determined the derivative f ′ of a function f . In many applications, a function f is given and we are looking for a function F whose derivative corresponds to function f . For instance, assume that a marginal cost function C ′ is given, i.e. it is known how cost is changing according to the produced quantity x, and we are looking for the corresponding cost functionC. Such a functionC can be found by integration, which is the reverse process of differentiation. Another application of integration might be to determine the area enclosed by the graphs of specific functions. In this chapter, we discuss basic integration methods in detail.