Type II improper integral

Definition

A Type II improper integral refers to the integration of a function over an unbounded interval or at a point where the function is not defined.

Related terms

Convergent:

When evaluating a Type II improper integral, if the limit exists and is finite, we say that the integral converges.

Divergent:

If there is no finite limit when evaluating a Type II improper integral, we say that the integral diverges.

Comparison Test:

The comparison test helps determine whether a given improper integral converges or diverges by comparing it with another known integrable function.