Improper Integral

The definition of a definite integral requires the interval [a,b] to be finite. Also recall that the Fundamental Theorem of Calculus requires that the function be continuous on [a,b]. In this section, we will examine a procedure for evaluating integrals that do not satisfy these requirements. That is, i) either one or both of the limits of integrations are infinite, or ii) f has a finite number of infinite discontinuities in the interval [a,b]. Integrals that possess either property are called improper integrals.
Objective:
Determine whether an improper integral is convergent or divergent.
Solve applied problems involving improper integrals.