Topics: Calculus - Integral


Let an integrable function .

If exists, then we say that:

…is the improper integral of in and that:

If such a limit doesn’t exist, then we say that such an integral diverges (i.e. it doesn’t converge).

Note that improper integrals don’t have to necessarily involve infinity. We can also have improper integrals when we calculate the integral of a function as it approaches a vertical asymptote.