A Formula for a Quartic Integral: a Survey of Old Proofs and Some New Ones
نویسندگان
چکیده
The evaluation of definite integrals has attracted the scientific community, both professional and amateurs, for a long time. Some of these evaluations are collected in tables. The authors’ favorite one is by I. Gradshteyn and I. Ryzhik [11]. It was the naive attempt to prove all the formulas in [11] that produced [6]. A recent review of this book [10] describes how R. Feynman ’once claimed that he acquired his initial reputation not as a physicist, but as a redoubtable evaluator of integrals’. In the Fall of 1995, when the author (VHM) was teaching a graduate class in Analysis, a student (George Boros) stated that he could prove the identity
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