求函数表达式的常用方法

The Common Methods in Solving Function Expression

求函数的表达式是微积分中的一类常见题型,其特点是包含所求函数变形的函数方程形式较多,根据函数方程的不同形式给出了换元法、拼凑法、待定常数法、积分法与导数法、递推法等五种求函数表达式的常用方法.

The solving function expression is a popular class in calculus, which is characterized by the more forms of function equation in function deformation. This paper offers five commonly used methods of solving func- tion expression according to the different forms of elements in function equation： patchwork method, collage methods, constant method, integration method and derivative method, recursive method.