| 有理函数积分的公式解法 |
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| 引用本文： | 桂祖华.有理函数积分的公式解法[J].应用数学和力学,1994,15(1):19-27. |
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| 作者姓名： | 桂祖华 |
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| 作者单位： | 上海交通大学 |
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| 摘 要： | 被积函数为有理函数的不定积分求解通常是采用待定系数法。本文提出了这类积分的非待定系数公式解法，较完美地解决了这类积分问题。在实际应用中显示了这种新型方法是简捷的和有效的。它的优点还在于不仅对一些常规方法极为困难或无法解决的问题给以简明的解，而且借助于电子计算机可解决更复杂的问题。
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| 关 键 词： | 多项式的展开，有理函数，有理函数积分 |
A Formula Solution to the Integral of Rational Functions |
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| Gni Zu-hua.A Formula Solution to the Integral of Rational Functions[J].Applied Mathematics and Mechanics,1994,15(1):19-27. |
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| Authors: | Gni Zu-hua |
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| Institution: | The Department of Apptied Mathematics. Shanghai Jiao-tong University |
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| Abstract: | A usual method is the method of waiting coefficient to solve integral of a rational function. We shall propose a non-waiting coefficient formula of solution about this kind of integral in this article and perfectly solve this kind of integ-ral problem. In practical application this new method is simple, direct and effec-tive. Its advantage is not only to give a simple solution for several problems which are very difficult or aren't solved by usual method. but also to solve more oomplex problems by computer. |
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| Keywords: | expansion of a polynomial rational function integral of rational function |
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