Integral Table

Calculus is a very important branch of mathematics. It is being applied in many fields and thus has great importance in the field of study. Integration is a very important topic that has been discussed in calculus. It is the opposite of differentiation. The rules that are applied in differentiation are quite different from that of integration. To be more exact these rule s are more difficult for integration rather than for differentiation. While differentiation is the breaking up of the factors, integration on the other hand is bringing together the smaller parts to form an equation. Since integration is very complex to understand, the Integral Table comes as a very handy tool.

The history of these tables dates back to the year 1810 when a German mathematician by the name of Meyer Hirsch discovered the concept behind integration. This mathematician was responsible for the creation of these tables. These tables were published again in the United Kingdom in the year 1823. The more advanced form of these tables was established and published in the year 1858 by a mathematician who was Dutch by origin , by the name of David de Bierens de Haan. In the initial stages of its publication, these tables contained the integration of only the elementary or the basic function of mathematics. They were later extended to many other functions by many mathematicians. Among them Rhyzhik is a very prominent name. The integrals are a part of the ant derivatives. There were many mathematicians who get intensive research work in order to get the integrals of many complex functions also. As a result of their hard work today we have an Integral Table that gives great idea about the way integration is carried out.

There are many kinds of functions where integration can be applied. Some of them are as follows: Integrating of a singular function, integration of rational functions, integration of exponential functions, integration of logarithms, integration of trigonometric functions, integration of reverse trigonometric functions, integration of Hyperbolic functions, integration of special value functions and the integration of absolute value functions. Thus it can be said that the concept of Integral Table can be applied to many areas. Its applicability is widely accepted in most of the fields whether it is aviation or any other technical field. Therefore it is important to have some knowledge about the tables and their application in the many phases of mathematics.