安庆师范学院数学与计算科学学院2012届毕业论文 11
摘要翻译：In the final analysis is the development of mathematics in order to explore the law of nature, so mathematical impossible just some experience accumulation of facts it has its philosophical speculation, in various branches of mathematics in human culture, may be the only rely on logic rule to establish their own branch, this article is about the curve calculation of curved surface integral method for heart research, this paper mainly introduces the first class the second kind of curvilinear integral, the first class and the curved surface integral of the second kind, as well as the two kind of curvilinear integral surface integral of the two kind of contact, and the back of the Green formula, Gus formula, Gauss formula of Stowe in practical problems of application in research, first and second kinds of curve and surface integral method in the integral region must accumulate, first : in the dimensional consistency, metaphor of curvilinear integral must change as the definite integral computation, surface integral must change into two of the order of the definite integral computation, three points must be due to regional integration type three-dimensional region is a three-dimensional, so be sure to have order three order the definite integral, and also as an integral and double integral, or a double integral and indefinite integral, second: no matter How to integration must take the integral region in the calculation of each point to.
摘要翻译：In the final analysis is the development of mathematics in order to explore the law of nature, so mathematical impossible just some experience accumulation of facts it has its philosophical speculation, in various branches of mathematics in human culture, may be the only rely on logic rule to establish their own branch, this paper introduces the rational formula of trigonometric function indefinite integral, the basic calculation method of rational formula of trigonometric function of indefinite integral. In the basic method in textbook on mathematical analysis, and sums up several methods. Familiar with the mastery and application of these methods is very important to solve the indefinite integral of rational type, is conducive to further broaden the thinking, greatly improving the operation ability of indefinite integral.
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