Improper Definite Integrals

Definition

Improper definite integrals are integrals with infinite limits of integration or integrands that become unbounded within the interval of integration.

Related terms

Convergence:

When an improper integral has a finite value as its limit exists.

Divergence:

When an improper integral does not have a finite value because its limit does not exist.

Comparison Test for Improper Integrals: A method used to determine whether an improper integral converges or diverges by comparing it with another known integral.