# Improper Integrals**

- In mathematical analysis, an
**improper integral**is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number, infinity, negative infinity, or in some instances as both endpoints approach limits.- Improper integral with infinite integration limits
- Improper integrals with infinite discontinuities

- Such an integral is often written symbolically just like a standard definite integral, in some cases with
*infinity*as a limit of integration. - Specifically, an improper integral is a limit of the form:

## Essential Questions

Essential Questions

### How are improper integrals evaluated?

How are improper integrals evaluated?

### Improper Integral with Infinite Integration Limits

Improper Integral with Infinite Integration Limits

### Improper Integral with Infinite Discontinuities

Improper Integral with Infinite Discontinuities