Mathematics is extremely important in learning life since ancient 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 Graphics are given as possible as we can in 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”。 别忘了给好评