CHAPTER9

To Infinity and Beyond

In This Chapter

  • Exploring improper integrals
  • Working with infinite limits of integration
  • Examining discontinuities in the integrand
  • Using the Comparison Test for improper integrals

We looked at the Fundamental Theorem of Calculus, and we have concentrated on studying techniques of integration. In this chapter, we will go back to definite integrals and look at problems that either have an infinite bound of integration or an infinite discontinuity in a finite region.

Improper Integrals

In all cases involving improper integrals, we will treat the problem as a limit. If the limit exists, we say that the integral ...

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