## Mathematical Analysis## Integral Calculus |

## What is an improper integral? |

An integral as seen above means that the function *f(x)* needs to be bounded on the interval [*a*, *b*] (both real numbers), and the interval also must be bounded. But an improper integral is one in which the function *f(x)* becomes unbounded (called a type I improper integral) or the interval [*a*, *b*] becomes unbounded (*a* = -∞ or *b* = +∞, which is called a type II improper integral).