Integration anti-derivative is an operation inverse to differentiation. From the historical point of Class Byjus Maths 12 Ncert Pdf Solutions view, the concept of integration originated earlier than the concept of differentiation. In fact the concept of integration owes its origin to the problem of finding areas of plane regions, Byjus Ncert Solutions Class 12 Maths Pdf surface areas and volumes of solid bodies etc.
Archimedes, Eudoxus and others developed it as a numerical value equal to the area under the curve of a function for some interval. Later Byjus Ncert Solutions Class 12 Maths Pdf on, link between apparently two different concepts of differentiation and integration was established by well-known mathematician Newton and Leibnitz in 17th century.
This relation is known as fundamental theorem of integral calculus. In the 19th century, Byjus Ncert Solutions Class 12 Maths Pdf Cauchy and Riemann developed the concept of Riemann integration. The following are the four important methods of integration: Integration by decomposition into sum or difference. Integration by substitution. Integration by parts Integration by successive reduction. Important Questions on 12th Maths Chapter 7 What is anti derivatives of a function? If a function f is differentiable in an interval I, i.Byjus Ncert Solutions Class 12 Maths Pdf
What is integration? The formula that gives all anti derivatives is called the indefinite integral of the function and such process of finding Byjus Ncert Solutions Class 12 Maths Pdf anti derivatives is called integration.
What is Byjus Ncert Solutions Class 12 Maths Pdf Integral Calculus? The development of integral calculus arises out of the efforts of solving the Byjus Ncert Solutions Class 12 Maths Pdf Byjus Ncert Solutions Class 12 Maths Pdf Byjus Ncert Solutions Class 12 Maths Pdf problems of the following types: a the problem of finding a function whenever its derivative is given, b the problem of finding the area bounded by the graph of a function under certain conditions.
These two problems lead to the two forms of the integrals, Byjus Ncert Solutions Class 12 Maths Pdf e. What is meant by integration constant C? C is customarily referred to as arbitrary constant.
In fact, C is the parameter by varying which one gets different anti derivatives Byjus Ncert Solutions Class 12 Maths Pdf or integrals of the given function. Application of Byjus Ncert Solutions Class 12 Maths Pdf Integrals �.
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