中文摘要：

Dirichlet积分在物理学和信号处理领域有着重要的应用.采用复分析的方法对高阶Dirichlet型积分进行了求解和计算,证明了一般情况下统一的数学表达式。

英文摘要：

Dirichelet integration is widely used in the fields of physics and signal processing. In this paper, the unified express of the higher order Dirichlet-type integration in the general case is proved with the help of complex analysis method.