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A formula of solution to the integral of rational functions

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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 integral problem. In practical application this new method is simple, direct and effective. 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 complex problems by computer.

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References

  1. Gui Zu-hua, Taylor’s polynomial of several centres,Science-technique of Shanghai Jiao-tong University,4 (1992).

  2. Wu Yi-hsing,General Idea about Differential and Integral, The People’s Educational Publishing House. (1979), 465. (in Chinese)

  3. Gui Zu-hua, The complement of Ostrogradski’s formula,Science-technique of Shanghai Jiao-tong University.1 (1992).

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Zu-hua, G. A formula of solution to the integral of rational functions. Appl Math Mech 15, 19–27 (1994). https://doi.org/10.1007/BF02451024

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  • DOI: https://doi.org/10.1007/BF02451024

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