Editing Integral test for convergence (section)

{{Short description|Test for infinite series of monotonous terms for convergence}}
[[File:Integral Test.svg|thumb|right|300px|The integral test applied to the [[harmonic series (mathematics)|harmonic series]].  Since the area under the curve {{math|''y'' {{=}} 1/''x''}} for {{math|''x'' ∈ {{closed-open|1, ∞}}}} is infinite, the total area of the rectangles must be infinite as well.]]
{{Calculus|Series}}

In [[mathematics]], the '''integral test for convergence''' is a [[convergence tests|method used to test]] infinite [[series (mathematics)|series]] of [[Monotonic function|monotonic]] terms for [[convergent series|convergence]]. It was developed by [[Colin Maclaurin]] and [[Augustin-Louis Cauchy]] and is sometimes known as the '''Maclaurin–Cauchy test'''.