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Moll","submitted_at":"2010-09-13T14:02:03Z","abstract_excerpt":"We provide additional methods for the evaluation of the integral \\begin{eqnarray} N_{0,4}(a;m) & := & \\int_{0}^{\\infty} \\frac{dx} {\\left( x^{4} + 2ax^{2} + 1 \\right)^{m+1}} \\end{eqnarray} where $m \\in {\\mathbb{N}}$ and $a \\in (-1, \\infty)$ in the form \\begin{eqnarray} N_{0,4}(a;m) & = & \\frac{\\pi}{2^{m+3/2} (a+1)^{m+1/2} } P_{m}(a) \\end{eqnarray} where $P_{m}(a)$ is a polynomial in $a$. The first one is based on a method of Schwinger to evaluate integrals appearing in Feynman diagrams, the second one is a byproduct of an expression for a rational integral in terms of Schur functions. 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