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

How are improper integrals evaluated?

Improper Integral with Infinite Integration Limits

Improper Integral with Infinite Discontinuities