| 区域对称性和函数奇偶性在积分计算中的应用 |
| |
| 引用本文： | 马巧云,胡丽平.区域对称性和函数奇偶性在积分计算中的应用[J].河南科学,2008,26(12). |
| |
| 作者姓名： | 马巧云 胡丽平 |
| |
| 作者单位： | 河南农业大学,信息与管理科学学院,郑州,450002 |
| |
| 摘 要： | 积分区域的对称性和被积函数的奇偶性不仅体现了数学美,而且可以使积分的计算变得简单又方便.通过对积分区域的对称性和被积函数的奇偶性的讨论,从积分区域关于坐标平面、坐标轴和坐标原点对称出发,建立了简化各类积分计算的常见公式,并用例子展示了公式的有效性.
|
| 关 键 词： | 奇偶性 对称区域 积分 |
Application of the Function's Parity and Domain's Symmetry to Calculate the Integrals |
| |
| Ma Qiaoyun,Hu Liping.Application of the Function's Parity and Domain's Symmetry to Calculate the Integrals[J].Henan Science,2008,26(12). |
| |
| Authors: | Ma Qiaoyun Hu Liping |
| |
| Institution: | Ma Qiaoyun,Hu Liping(College of Information , Management Science,Henan Agriculture University,Zhengzhou 450002,China) |
| |
| Abstract: | The symmetry of integral domain and the parity of integrand not only reflect the beauty of math,but also make integral computation more simple and convenient. By use of symmetry of integral domain to coordinate surface,coordinate axis and coordinate origin,some useful formula to compute the integral are constructed,which are illustrated very useful and effective. |
| |
| Keywords: | parity symmetrical domain integral |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
