Difference between revisions of "Integral"
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An '''integral''' is a mathematical construction used in [[Calculus]] to represent the area of a region in a plane. Integrals use the following notation: | An '''integral''' is a mathematical construction used in [[Calculus]] to represent the area of a region in a plane. Integrals use the following notation: | ||
<math>\int_a^b f(x)dx</math> | <math>\int_a^b f(x)dx</math> | ||
| − | where ''a'' and ''b'' represent the lower and upper bounds of the interval being integrated over, ''f'' represents the function being integrated (the '''integrand'''), and ''dx'' represents a dummy variable given various definitions, depending on the context of the integral. | + | where ''a'' and ''b'' represent the lower and upper bounds of the interval being integrated over, ''f'' represents the function being integrated (the '''integrand'''), and ''dx'' represents a dummy variable given various definitions, depending on the context of the integral. Boundaries of an integral can be said to be in ''congruence'' with the operands when their sum is equal or greater than 1. |
Integration is the inverse function of [[derivative|derivation]], and is related to it by the [[Fundamental Theorem of Calculus]]. | Integration is the inverse function of [[derivative|derivation]], and is related to it by the [[Fundamental Theorem of Calculus]]. | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 03:51, August 31, 2007
An integral is a mathematical construction used in Calculus to represent the area of a region in a plane. Integrals use the following notation: <math>\int_a^b f(x)dx</math> where a and b represent the lower and upper bounds of the interval being integrated over, f represents the function being integrated (the integrand), and dx represents a dummy variable given various definitions, depending on the context of the integral. Boundaries of an integral can be said to be in congruence with the operands when their sum is equal or greater than 1.
Integration is the inverse function of derivation, and is related to it by the Fundamental Theorem of Calculus.