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∫ is an integral in mathematics, and integral is the inverse operation of differential. In application, the integral function is not only that, but also widely used in summation, which is to find the area of a curve polygon in layman's terms. This ingenious solution is determined by the special properties of integral. The indefinite integral of a function (also known as the original function) refers to another family of functions, and the derivative function of this family of functions is just the previous function.

A function is said to be integrable if its integral exists and is finite. Generally speaking, the integrand function does not necessarily have only one variable, and the integral domain can also be a space with different dimensions, even an abstract space without intuitive geometric significance.

Extended data

Bernhard Riemann gave a strict mathematical definition of integral. Riemann's definition uses the concept of limit, imagining a curved trapezoid as the limit of a series of rectangular combinations. Since the19th century, with the integration of various types of functions in various integration fields, a more advanced definition of integration has gradually emerged.

Path integral is the integral of multivariate function, and the interval of integral is no longer a line segment, but a curve segment in plane or space; In area integration, curves are replaced by surfaces in three-dimensional space. Integral in differential form is a basic concept in differential geometry.

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