New definite integrals and new problems



> From: Dieter Kaiser <drdieterkaiser at web.de>
> Subject: New definite integrals and new problems
> 
> (%i58) integrate(exp(-x)*log(x),x,0,inf);
> (%o58) -'limit(-%e^-x*log(x)-gamma_incomplete(0,x),x,0,plus)
> 
> The last step is to get the limit of the above expression which is known
> to be -%gamma.

To get this limit, we probably need asymptotic expansions of the 
special functions: see e.g. p 80 of Gruntz's thesis.

Dan