不定积分的计算方法及其应用初稿

渤海大学本科毕业论文（设计）题目AbstractThe related content of indefinite integral occupies an important position inmathematical analysis,which belongs to the basic content and is also an importantway to deal with some specific applications.As we know,differentiation is a knownfunction,and the derivative function of this function is obtained,while integration is aderivative function of a known function.Finding this function is a reciprocaloperation.The study of integral is more complicated than that of differential,which isa difficult point in learning.The calculation method of indefinite integral is the basisof integral learning,which provides great help for future study.In the process of calculating indefinite integral,it is necessary to choose differentmethods to calculate according to specific problems,and the situation of multiplesolutions to one problem also happens from time to time.This paper mainly expoundsthe direct integration method (formula method),the first substitution integrationmethod (gather differentiation method),the second substitution integration method(triangle substitution and unreasonable root substitution)and integration by parts'sfour main methods for solving indefinite integral.In addition,it also introduces severalspecial methods to solve indefinite integrals,such as the second substitution integralmethod combined with integration by parts and MATLAB.At the same time,examples are given of the practical application of indefinite integrals in geometry,physics,and life.Key Words:Indefinite integral Calculation method Application