摘要:本文简要的阐述定积分在几何、物理以及初等数学等方面的应用。在这一部分,主要采用了“微元法”这

2025-04-12 22:58:06
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回答1:

Abstract: This article briefly describes the definite integral in geometry, physics and elementary mathematics and other applications. In this section, the main use of the "micro-element method," the idea in theory to solve practical problems.
Distribution range of the definite integral is the overall volume. Because the overall composition by local, so the actual problem is abstracted as the definite integral, we must focus on the whole, from the local start. For example, in seeking irregular curved quadrilateral plane size of the area, we tend to be translated into the problem points to achieve the purpose of solving problems. (First find the area of micro-curved quadrilateral element, in the range of office to take a little x, at point x on the area of micro-yuan, is "high" for the f (x), width of the rectangular area of the differential, that is. (Rectangular area = height × width) another example, the use of fixed points find x = 5cost, y = 4sint the perimeter of the elliptic curve, and three-dimensional volume, etc., and a brief discussion of the definite integral of a simple application in physics, but also a brief introduction the definite integral in the basic use of elementary mathematics.

回答2:

Summary: this article provides a brief description of definite integrals in geometry, physics and applications of elementary mathematics. In this section, mainly uses the "micro-element" of the theory to solve real problems.
Definite integral is the overall amount of the distribution on the interval. Because the whole is made up of local, so the actual question abstraction for definite integrals, must focus on the whole, starting from the local. For example, in seeking the irregular when the curved surface area of the quadrilateral, we tend to be converted to integral issues so as to achieve the purpose of solving problems. (Seeking curved quadrilateral area element, and at intervals assumed office access point x, area element at the point x, is the "high" for f (x), the rectangular area of wide differential, that is. (Rectangular area = height x width), for example, the use of definite integrals of finding elliptic curve x=5cost,y=4sint perimeter as well as stereo volume, and so on, and briefly discusses simple applications of definite integrals in physics, and simple introduction to the basic use of definite integrals of elementary mathematics.