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Summary: this article provides a brief description of definite integrals in geometry, physics and applications of elementary In this section, mainly uses the "micro-element" of the theory to solve real Definite integral is the overall amount of the distribution on the Because the whole is made up of local, so the actual question abstraction for definite integrals, must focus on the whole, starting from the 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 (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 (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

定积分数学论文

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一个定义、一个定理,一道习题、一句话,专业上或生活中的数学应用,只要引起你的深入思考、引导你孜孜不倦钻研、得出你的闪光感悟,请写下来,秀出来,与大家分享。议题不限,诸如:数系的扩展,极限古今谈,极限思想畅想,极限的思考,圆内接多边形的面积逼近圆的面积、周长逼近圆的周长,极限的计算方法论,π 趣谈,e 趣谈,连续函数的应用,一致连续性的思考,微商和微分的理解,“以直代曲”思想,微分中值定理的理解与应用,泰勒公式的理解与应用,一阶微分的不变性,二阶微分的计算,凹凸函数性质,函数极值与反射和折射定理,不定积分与定积分关系,微分与积分的辨证关系,(不)定积分的计算方法,(不)定积分的应用,可积函数邹议,微元法中的“合适”近似…
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