非退化线性变换在重积分计算中的应用

The Application of Non-degenerate Linear Transformation in the Calculation of Multi-integration

讨论了被积函数或积分区域可以用二次型来表示的重积分的计算问题,通过引入进非退化线性变换,简化了这类重积分的计算,得出了计算公式.

In this paper, a problem in the calculation of multi-integration is considered, whose integrated function or integration field can be expressed by quadratic form. By introducing the non-degenerate linear transformation, the calculation procedure of this type of multi-integration is simplified and the calculation formula is obtained.