what is the definition of integration and how to solve a problem in integration. Explain.
Answers
Step-by-step explanation:
Integration Definition
The integration denotes the summation of discrete data. The integral is calculated to find the functions which will describe the area, displacement, volume, that occurs due to a collection of small data, which cannot be measured singularly. In a broad sense, in calculus, the idea of limit is used where algebra and geometry are implemented. Limits help us in the study of the result of points on a graph such as how they get closer to each other until their distance is almost zero. We know that there are two major types of calculus –
Differential Calculus
Integral Calculus
The concept of integration has developed to solve the following types of problems:
To find the problem function, when its derivatives are given.
To find the area bounded by the graph of a function under certain constraints.
These two problems lead to the development of the concept called the “Integral Calculus”, which consist of definite and indefinite integral. In calculus, the concept of differentiating a function and integrating a function is linked using the theorem called the Fundamental Theorem of Calculus.
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