ABSTRACT

In this chapter, we will apply the techniques of asymptotics to integration problems. Many integrals do not have an exact anti-derivative that can be expressed in terms of the standard functions, such as exponential, logarithmic, and trig functions. Thus, an approximation method must be used to compute such integrals. Although there are standard integration approximation methods, such as Simpson’s rule, it is usually more efficient to find the asymptotic series of the integral.