Integral

A definite integral o a function can be representit as the signed aurie o the region boondit bi its graph.

Template:See also Integration is an important concept in mathematics an, thegither wi its inverse, differentiation, is ane o the twa main operations in calculus. Gien a function f o a real variable x an an interval Template:Nowrap o the real line, the definite integral

$\underset{a}{\overset{b}{\int }}f(x)dx$

is defined informally tae be the signed aurie o the region in the xy-plane boondit bi the graph o f, the x-axis, andthe vertical lines Template:Nowrap an Template:Nowrap, such that aurie abuin the x-axis adds tae the tot, an that ablo the x-axis subtracts frae the tot. Lebesgue integration is aan impoitint concept, reprisainten ane geniralizaition of this concept.