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

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

2007-05-31

arxiv.org/abs/0705.4640v2

Mathematics

History and Overview

7 pages; minor changes

Scientific paper

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.

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