Improper Integrals

Definition

Improper integrals are definite integrals where one or both of the limits of integration are infinite, or the function being integrated is unbounded within the interval. They require special techniques to evaluate.

Related terms

Convergent:

A convergent improper integral is one that has a finite value when evaluated.

Divergent:

A divergent improper integral is one that does not have a finite value when evaluated.

Comparison Test:

The comparison test is used to determine whether an improper integral converges or diverges by comparing it with another known integral.