Integration is a core model of advanced mathematics, particularly in the fields of calculus and mathematical analysis. Given a function f(x) of a actual variable x and an interval [a, b] of the real line, the integral is equal to the area of a region in the xy-plane bounded by graph of f, the x-axis, and the vertical lines x = a and x = b, by way of areas below the x-axis being subtracted.
The word "integral" may as well refer to the notion of ant derivative, a function F whose derivative is the given function f. In this casing it is called an indefinite integral, while the integrals discussed in this article are named definite integrals. Few authors maintain a distinction between ant derivatives and indefinite integrals.
The word "integral" may as well refer to the notion of ant derivative, a function F whose derivative is the given function f. In this casing it is called an indefinite integral, while the integrals discussed in this article are named definite integrals. Few authors maintain a distinction between ant derivatives and indefinite integrals.
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