Abstract
This paper gives an algorithm to decide if a function built up from the rational functions using logarithms, exponentials and arbitrary algebraic operations can be integrated in terms of functions built up in a similar manner.
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Risch, R.H. (2022). On the Integration of Elementary Functions which are Built Up Using Algebraic Operations. In: Raab, C.G., Singer, M.F. (eds) Integration in Finite Terms: Fundamental Sources. Texts & Monographs in Symbolic Computation. Springer, Cham. https://doi.org/10.1007/978-3-030-98767-1_5
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DOI: https://doi.org/10.1007/978-3-030-98767-1_5
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