高等数学中定积分计算和应用的一点注记

Note on the Integral Calculation and Application Higher Mathematics

以高等数学教学过程中两个定积分的计算为例,引导学生利用已知几何体体积对定积分计算过程中的错误进行分析,给出正确解题方法;同时利用定积分的计算结果来分析探究特殊几何体的形体。

The calculation problem for example encountered two of the definite integral of taking higher mathematics teaching process,we guide students to use the known geometry volume results,why the process error calculation of the definite integral is analyzed,and given the right method for solving. At the same time,we use the definite integral computation result analysis to explore a special geometry shape.