A New Way to Evaluate Lobachevsky’s Integrals

Rubén Darío Santaella Forero, Rosalba Mendoza Suárez and Juan Carlos López Carreño

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-9

Abstract: This article examines the family of Lobachevsky’s integrals and presents an alternative derivation for the four convergent cases. The approach relies on Leibniz’s parameter differentiation technique, partial fraction decomposition, and expansions in power series. The resulting formulations not only provide a unified framework for evaluating these classical integrals but also yield additional insights into their structure and connections with other areas of analysis.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:3918563

DOI: 10.1155/ijmm/3918563

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