Es curioso su interés por
la primitiva de una
función tan *terriblemente divergente*... que
deberá
ser aún mucho más divergente. (Ciertamente no
x^(x-1)/(x-1),
como le dijeron los cachondos comunicantes
de Julio F.
...)
Personalmente a mí me han intrigado siempre
las
integrales ("intrigales...") impropias de
exponenciales
imaginarias, y los curiosos arreglillos 'ad hoc' en
forma
de Valor Principal de Cauchy y similares que se han
inventado
los matemáticos para salir del paso. Sospecho que estos
problemas,
inherentes al carácter eternamente periódico de estas
funciones,
tienen un substrato bastante trascendente, relacionado de
alguna
manera con la base filosófica "angular" de los señores
ummitas...
-J. F.
>
-----Mensaje original-----
> De: Ignacio Darnaude [http://correo.hispavista.com/Session/55409-W3QM8ttB2pkW7kMp34k8/Compose.html?To=ummo@hispavista.com]
> Enviado el: domingo, 22 de febrero de 2004 12:55
> Para:
Darnaude Rojas-Marcos Ignacio; Darnaude Rojas-Marcos Ignacio
>
Asunto: Integral of X elevated tu x differential x , S Xx dx
> ,
solution ?
>
>
> Ignacio Darnaude Rojas-Marcos
>
Cabeza del Rey Don Pedro , 9 ( 2º B )
> 41004 - Sevilla ( Spain
)
> Página Web : www.galeon.com/darnaude
> E-Mail :
ummo@hispavista.co
>
>
> Dear Sirs ,
>
>
> Please first realize this unexpectod request is not a
>
routine petition at all , but an old unresolved soul problem
> to
the writer , a graduated in Economics and by the way
> enamoured of
Mathematics , his second lifelong love affair.
> ( He is , too ,
fallen in love with some imaginable sort of
> solution to the
handsome exponential equation “A
> elevated to x + B elevated to x =
C ” ).
>
>
> I am extremely interested in finding
finally , after many
> years of fruitless search , the rather arcane
answer to my
> personal “Fermat Last Theorem” , I think an easy
task
> for Euler or Galois : the mysterious integral (
> its
unknown primitive function ) which reads as follows :
>
>
>
> "Indefinite integral of X elevated to x
> by
differential x" : S Xx dx
>
>
> In other words I am
looking for some elusive primitive
> algebraical function that ,
derived , result into a
> beautifully complex and elegant
potential-exponential
> expression : X elevated to x.
>
>
> Be sure this remote friend Ignacio would be delighted if
you
> wisely make the Sevillian happy by means of forwarding
him
> his keenly wanted explanation of this damned integral ,
send
> him the address of possible academic sources of
information
> ( the most prestigious worldwide university
departments
> especialized in Math , and in particular the address
of
> Mr. Robert H.Risch ) , or specific bibliography dealing
with
> the above mentioned “Integral of X elevetad to x
>
differential x”.
>
>
> [ In respect to this not yet
discovered integral S
> Xx dx , I refer to the paper by Robert
H.Risch "The
> problem of integration in finite terms" (
Transactions
> of the American Mathematical Society , Vol. 139 ,
(
> 1969 ) , pages 167-189 ) ].
>
>
> I remain
mathematically and of course humanly grateful to
> you for such an
integral informative favour.
>
>
> With my warmest
regards
>
>
>
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