Integrate equation title easily

Aug 6th, 2022
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How to Integrate equation title

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foreign [Music] guys welcome back to mathematical toolbox today were going to be talking about my book recommendations for integral equations uh before we get into that I want to thank each and every one of you that has commented liked subscribed to the channel over the past couple of months I really enjoy reading all the comments I enjoy reading about you know your experiences with books professors subjects anything I really encourage more of you all to share your personal experiences even if you might think that you might have anything unique to say so lets get into it uh this is my favorite book on the subject here a first course in integral equations by wazows so if you saw my other video on pdes youll recognize this author and like his book on pdes this book reads in the exact same way its not rigorous in the slightest the focus is on problem solving rather than theorem proving prerequisites are pretty low just uh I think differential equations should do it foreign like that

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Summation- Sum of a small numbers of large quantities. Integration- Sum of a large numbers of small quantities. The Summation is a discrete sum whereas Integration is a continuous sum .
The symbol dx, called the differential of the variable x, indicates that the variable of integration is x.
The mathematical definition of the integral is : Try to divide the sections so that the width of the sections is infinitely small. When this sum is always close to a constant value, we define that value as the definite integral of a to b. (Area)=baf(x)dx.
The list of basic integral formulas are. 1 dx = x + C. a dx = ax+ C. xn dx = ((xn+1)/(n+1))+C ; n1. sin x dx = cos x + C.
Other words for integral include antiderivative and primitive. The process of computing an integral is called integration (a more archaic term for integration is quadrature), and the approximate computation of an integral is termed numerical integration.
integration, in mathematics, technique of finding a function g(x) the derivative of which, Dg(x), is equal to a given function f(x). This is indicated by the integral sign , as in f(x), usually called the indefinite integral of the function.
Basically, integration is a way of uniting the part to find a whole. It is the inverse operation of differentiation. Thus the basic integration formula is f(x) dx = f(x) + C. Using this, the following integration formulas are derived.
The integral symbol: (Unicode), (LaTeX) is used to denote integrals and antiderivatives in mathematics, especially in calculus.

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