一类三角函数的定积分问题

The Definite Integral Problems of a Class of Trigonometric Functions

考虑数学分析中一个常用而重要的定积分∫π0sinnxcosmxdx,对m≥0,整数;n≥0情形给出了结果,特别对m和n为非负整数的情形给出了结果,并给出了应用.在理论和应用上,得到了一个很好的工具.

Abstract： The important definite integrals in mathematical analysis∫0nsinnxcosmxdx is put under examination and thusworks out the results when m≥0, n≥0 and being an integer in particular with some cases of application given immediately afterwards, which improves to be a nice tool whether in theory or in application.