Type I improper integral

Definition

A Type I improper integral is an integral where one or both limits of integration are infinite, or the integrand has a vertical asymptote within the interval of integration.

Related terms

Infinite limit: The limit of integration approaches positive or negative infinity.

Vertical asymptote:

A vertical line that the graph of the function approaches but does not intersect.

Convergent:

When an improper integral has a finite value after evaluation.