In this paper, a novel algorithm based on Harmony search and Chaos for calculating the numerical value of

definite integrals is presented.

There are several rules for the approximate evaluation of real

definite integralThere are four chapters: The Nature of the Infinite Process, The

Definite Integral, Differential and Integral Calculus, and Applications to Problems of Motion.

45) that need to be computed; each term consists of one

definite integral.

A

definite integral whose limits are the beginning and end of the production period relate the value of labor inputs and time to the value of output.

The topics include integration using trigonometric identities, integration by parts, the fundamental theorems of calculus, applying the

definite integral to compute the area of a plane figure, and methods of solving ordinary differential equations of the first order and of the first degree.

to the two sides of (1) and

definite integral from--1 to 1.