General Mathematics

    

Computation of Antiderivatives of Rational Functions

Authors: Subrat Kumar Verma

This article has been based on a lecture handout for high school students. Most of the calculus books mention the method of partial fractionsin an algorithmic way. I have described the reason behind the method. It has been mentioned as a theorem without proof in Problems in Analysis by Prof Maron published by Mir Publications of the Soviet Era, cited in the text of the article. It is possible that the proof is also included in some book maybe in Russian language but I have not come across the reasoning in any English language book and thus is novel to the best of my knowledge. The proof uses arguments accessible to high school students who have seen polynomials and complex numbers before, such as the class I was lecturing in India.

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[v1] 2024-11-22 07:33:39

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