Numerical integral Research Paper Example | Topics and Well Written Essays - 500 words

Numerical integral - look into Paper ExampleBefore Cavalieri introduced the system of indivisibles, Archimedes had also been working on the same thing. Archimedes had developed a method of calculating areas and volumes, but he was not willing to reveal his method. Elroy states that Cavalieri developed a sensible system of the so-called indivisibles and attempted to establish the validity of this approach (63). Without the formalism of the integral itself, Cavalieri derived a make sense of basic theorems of integral calculus from his principles. Cavalieris method of calculation is accurate for parallelograms and plane figures lying amongst two parallel lines (Elroy 63). In 1639, Cavalieri obtained the power rule for integration of a polynomial, although the rule had been discovered tether years before by Gilles de Roberval and Pierre de Fermat.A method for representing areas, lines, and volumes by indivisibles of a lower holding than the continuous whole that is made by them, wa s thus developed by Cavalieri. Sriraman points out that in his theory, Cavalieri express that if two solids have the same height, then their volumes will be proportional to the areas of their bases (7). The integration of f(X) =Xn was worked out with this method.According to Wolfram Research, Inc, an integral is a mathematical item that can be defined as an area or an abstraction of an area (Integral Wolfram.com). Integration on the other hand is the abut of computing or obtaining an integral (Integration). Integrals have been used in a number of shipway namely1. In calculation of volume, area, mass and length Integration is basically applied in physical science and Mathematics. With integration, it is possible to describe the curved area of a plane in terms of functions, and area and perimeter, in terms of integrals. Integration is also used to calculate the mass of an