Integration is finding the antiderivative of a function. It is the inverse process of differentiation. Learn about integration, its applications, and methods of integration using specific rules and formulas.
In this chapter, we first introduce the theory behind integration and use integrals to calculate areas. From there, we develop the Fundamental Theorem of Calculus, which relates differentiation and integration. We then study some basic integration techniques and briefly examine some applications.
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Integration is a way of adding slices to find the whole. Integration can be used to find areas, volumes, central points and many useful things.
Integration is the union of elements to create a whole. Integral calculus allows us to find a function whose differential is provided, so integrating is the inverse of differentiating.
In mathematics, an integral is the continuous analog of a sum, and is used to calculate areas, volumes, and their generalizations. The process of computing an integral, called integration, is one of the two fundamental operations of calculus, along with differentiation.
Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported.