On the values of integrals with the variable taken from $x=0$ to $x=\infty$

Leonhard Euler

On the values of integrals with the variable taken from $x=0$ to $x=\infty$

History and Overview 2009-04-16 v2 Classical Analysis and ODEs

Authors: Leonhard Euler

Abstract

This is a translation from the Latin original, "De valoribus integralium a termino variabilis x=0 usque ad x=infinity extensorum" (1781). This is E675 in the Enestrom index. Euler wants to find the location of the end point of a clothoid, a type of spiral. He proves some general results about the gamma function.

Keywords

integrals gamma function clothoid Euler

Cite

@article{arxiv.0705.4640,
  title  = {On the values of integrals with the variable taken from $x=0$ to $x=\infty$},
  author = {Leonhard Euler},
  journal= {arXiv preprint arXiv:0705.4640},
  year   = {2009}
}

Comments

7 pages; minor changes

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