Integers j and f ē n

Basic explanation

One is to accumulate jet lag. "Gu Liang Wen Chuan Gongliu Year": "Those who jump on the moon are also attached to the moon, and those who melt the moon are also." Fan Ning's Note: "More than a month is divided into this month."

Imperial academy's methods of evaluating students' academic performance and selecting talents in the dual, Ming and Qing dynasties. (1) Selected Records of Yuan History I: "Summer and June of Taiding three years are mostly points and tributes, based on the old system of ancestors." (2) Su Ming Boheng's "Sending Students to the Preface of Chinese Studies": "Finish the course, score, pass the exam, and then take the private exam." (3) Selected Records of the Draft of the Qing Dynasty: "The method of integrating major events was first implemented in China. After serving his sentence, the prison number dialed the department to practice the political system. "

(integration; ; Integral) a subject of mathematics; Calculus for finding a function in an integrand or solving a differential equation.

The sum of the scores of four games (cumulative scores); A cumulative score, now online, has a lot of integral activities. Like all kinds of emails, qq, etc.

calculus

Integration is the inverse operation of differentiation, that is, knowing the derivative function of a function and finding the original function in reverse. In application, the function of integration is not only this, but also widely used in summation, that is, to find the area of curved triangle. This ingenious solution is determined by the special properties of integral.

The indefinite integral of a function (also known as the original function) refers to another family of functions, and the derivative function of this family of functions is just the previous function.

Where: [F(x)+C]' = f(x)

The definite integral of a real variable function in the interval [a, b] is a real number. It is equal to the value in B minus the value in A of an original function of this function.

Two mathematical concepts abstracted from different problems. General term for definite integral and indefinite integral. Indefinite integral is put forward to solve the inverse operation of derivative and differential. For example, given the function f(x) defined in the interval i, find a curve y = f (x) and x∈I such that its tangent slope at each point is f' (x) = f (x). The indefinite integral of the function f(x) is all the primitive functions of f(x) (see primitive functions), and it is recorded as. If f(x) is the original function of F(x), then c is an arbitrary constant. For example, definite integral is derived from the area problem of plane figure. Y = f (x) is a function defined on [a, b]. In order to find the area s of the graph enclosed by x = a, x = b, y = 0 and y = f (x), the ancient Greek exhaustive method is adopted. Firstly, the approximate value of S is obtained by direct bending in a small range, and then the required area S is obtained by taking the limit. To do this, [a] First, the required area s is obtained. By abstracting the thinking method of this kind of problem, we can get the concept of definite integral: for the function y = f(x) defined on [a, b], make a partition a = x0 < x 1