Integral Sign (∫)

Mathematical symbol denoting integration, introduced by Leibniz.

Description

The integral sign (∫) was introduced by Gottfried Wilhelm Leibniz in 1675 as an elongated 'S' (from the Latin 'summa', meaning sum). It denotes the operation of integration in calculus — the process of finding the area under a curve or the antiderivative of a function. The symbol appears in definite integrals (with upper and lower bounds) and indefinite integrals. Multiple integral signs (∬, ∭) denote double and triple integration over two- and three-dimensional regions respectively.

Origin & Cultural Context

Introduced by Gottfried Wilhelm Leibniz in his manuscript of 29 October 1675, first published in 1684.