Hi kcrisman, just some followups:

Have added the following to ask.sagemath.org
http://ask.sagemath.org/question/1265/how-to-dynamically-substitute-a-variable-in-a

Have applied the http://trac.sagemath.org/sage_trac/ticket/11143 patch 
(along with this patch as well 
http://trac.sagemath.org/sage_trac/ticket/11513 )
and get this for a 1/2 integration of sin(x)

-1/2*(sqrt(x)*sin(x)*exp_integral_e(1/2, -I*x) +
sqrt(x)*sin(x)*exp_integral_e(1/2, I*x) +
I*sqrt(x)*cos(x)*exp_integral_e(1/2, -I*x) -
I*sqrt(x)*cos(x)*exp_integral_e(1/2, I*x) -
2*limit(1/2*sqrt(-t)*sin(x)*exp_integral_e(1/2, -I*t) +
1/2*sqrt(-t)*sin(x)*exp_integral_e(1/2, I*t) -
1/2*I*sqrt(-t)*cos(x)*exp_integral_e(1/2, -I*t) +
1/2*I*sqrt(-t)*cos(x)*exp_integral_e(1/2, I*t), t, 0, minus))/sqrt(pi)

This seems to be promising, except that minus needs to be replaced by 
-Infinity, and then I get an error message relating to the limit function.


ValueError: call the limit function like this, e.g. limit(expr, x=2).

I've also confirmed that the _limit_latex() error *IS* related to pretty 
printing.

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