帮忙改英语语病论文摘要摘要:数学自古在学习生活中就极为重要,本文主要介绍了一下各类积分在面积与体积上的应用,如何用定积分,二重积分,曲线积分,曲面积分求解面积,以及如何用定积

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帮忙改英语语病 论文摘要
摘要: 数学自古在学习生活中就极为重要,本文主要介绍了一下各类积分在面积与体积上的应用,如何用定积分,二重积分,曲线积分,曲面积分求解面积,以及如何用定积分,二重积分,三重积分,曲面积分求解体积上,通过举一些实际的例子来分析求解,通过这些例子我们可以更深一步的了解数学,为我们在以后的积分的应用上提供一些帮助,特别是积分在面积体积上的应用,同时本文尽量通过图形来分析题,以及一道题运用多种积分求其体积,就是灵活运各类积分解决统一问题,让我们更好的认识和理解积分在面积体积上的应用.
关键词：积分；面积；体积；应用
Abstract: Since ancient times, life in learning mathematics is extremely important, this paper describes what kinds of points in the area and volume on the application, how to use the definite integral, double integral, curve integrals, surface integrals for solving area, and how to use the definite integral, II Double integral, triple integrals, surface integrals for solving the volume, by give some practical examples to analyze the solution, through these examples we can deeper understanding of mathematics, the integration of our applications in the future to provide some help, especially integral Volume on the application area, while this paper to analyze the problem graphically as possible, and ask a question using a variety of points of its size, is flexibly solve the reunification issue various types of points, give us a better awareness and understanding on the points in the area of volume Application.
Key words ：Integral；area；volume；application

Answer 1

Mathematics is extremely important in learning life since ancient times. This paper intruduces the application of all kinds of integral, such as definite integral, double integral, curve integrals, surface integrals in area and volume problems, and how to use the definite integral, II Double integral, triple integrals, surface integrals for solving volume problems, using some practical examples which may help for deeper understanding mathematics, properer applications of integration. Graphics are given as possible as we can in analzing. Multiple Solutions are provided for a same problem using diffrent integrals for flexible usage of integrals and better comprehension.
Key words ：Integral；area；volume；application
中文中“就是灵活运各类积分解决统一问题”应为“就是灵活运各类积分解决同一问题”.
ps. 别忘了给好评