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: