Abstract
We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations. We include our personal renditions as related to the history of these particular computations.
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The work of the second author was partially funded by NSF-DMS 0409968.
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Amdeberhan, T., Moll, V.H. A formula for a quartic integral: a survey of old proofs and some new ones. Ramanujan J 18, 91–102 (2009). https://doi.org/10.1007/s11139-007-9041-9
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DOI: https://doi.org/10.1007/s11139-007-9041-9