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Does anyone know areasonwhy [tex]\int_{-\infty}^{\infty}\cosh(x)^{-n}dx[/tex] (n>0) can be evaluatedanalyticallywhen n = 1,2,3,..., but onlynumericallywhen n is non-integer. I don't know if there is a "reason", but I'm using this result in a Quantum Mechanics project and it would be cool if I could give some kind of intuitive reason why this is so.

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# Integral evaluation - analytical vs. numerical

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