(Redirected from integral)
- See: Numeric Integration Task, Infinitesimal Number, Differentiation, Calculus, Antiderivative.
- (Wikipedia, 2011) ⇒ http://en.wikipedia.org/wiki/Integral
- Given a function ƒ of a real variable [math]x[/math] and an interval [a, b] of the real line, the definite integral [math]\int_a^b f(x)\,dx[/math] is defined informally to be the net signed area of the region in the xy-plane bounded by the graph of ƒ, the x-axis, and the vertical lines x = [math]a[/math] and x = b. The term integral may also refer to the notion of antiderivative, a function [math]F[/math] whose derivative is the given function ƒ. In this case, it is called an indefinite integral, while the integrals discussed in this article are termed definite integrals. Some authors maintain a distinction between antiderivatives and indefinite integrals.