Proper Integrals

An integral is considered proper if the integrand is bounded over a finite interval (a, b).

In particular, two conditions must be satisfied for an integral to be classified as proper:

• The integrand is bounded - that is, the function attains a maximum value M and a minimum value m within the interval of integration.
• The interval of integration is finite - both the lower and upper limits are real, finite numbers.

If either of these conditions is not met, the integral is referred to as an improper integral.

And so on.