微元法应用的误区

Misunderstand of Infinitesimal Method Application

用积分求解实际问题时最犀利的工具是微元法,它既是高等数学的重点,又是难点.在构造微元的时候忽略了近似替代量与部分量之间的误差是比Δx高阶的无穷小这一必要条件,构造出错误的微元而导致错误.

The sharpest tool in solving practical problems with integral is the micro element method, which is the focus of Higher Mathematics and it is also the difficulty. While, it ignores the necessary condition that the error between the approximate replacement amount and the part is a higher order infinitesimal of Ax when constructing infinitesimal, thus the wrong infinitesimal leads to the mistake of the problem.