# 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