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Definite Integral
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Definite Integral 

one of the fundamental concepts of mathematical analysis; the solution of a number of problems in geometry, mechanics, and physics reduces to a definite integral. The definite integral is a number equal to the limit of the sums of a particular type (integral sums) corresponding to a function f(x) and an interval [a, b]; it is denoted by Definite Integral. Geometrically, the definite integral expresses the area of a “curvilinear trapezoid” bounded by the interval [a, b] on the x-axis, the graph of the function f(x), and the ordinates of the points on the graph that have abscissas a and b. For a precise definition and generalization of the definite integral, seeINTEGRAL and INTEGRAL CALCULUS.
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Integral calculus: Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus.
Math's Syllabus for IIT JEE by Vanya Tiwari / Science and technology, general community
From these branches, mathematicians probe all of nature using such tools as ordinary and partial differential equations, indefinite and definite integrals, and, where these become inadequate, other tools like power series and Lagrangian multipliers.
Calculus for Dopes - It Ain’ That Hard - the Limit Part I by Joe Pagano / Mathematics community
Still, Steele's definite integrals have some merit as tools for expositing Hayek's pure theory of capital: they recognize and give play to the notion that capital must be measured in two dimensions (value and time) and that changes in market conditions may have different effects on different components of the capital structure.
The Economics of Friedrich Hayek by Garrison, Roger W. / Southern Economic Journal
 
 
 
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