>
> sage: maxima_calculus("domain:real")
> real
> sage: integrate(e^-x*sinh(sqrt(x)),x,0,oo)
> 1/4*sqrt(pi)*(erf(1) - 1)*e^(1/4) - 1/4*(sqrt(pi)*(erf(1) - 1) - sqrt(pi)
> + 2*e^(-1) - 2)*e^(1/4) + 1/4*sqrt(pi)*e^(1/4) - 1/2*e^(1/4) + 1/2*e^(-3/4)
> sage: _.simplify_rational()
> 1/2*sqrt(pi)*e^(1/4)
>
> while in a vanilla Sage session, for me
>
> sage: integrate(e^-x*sinh(sqrt(x)),x,0,oo)
> <hangs for a loooonng time>
>
Oops, eventually
sage: integrate(e^-x*sinh(sqrt(x)),x,0,oo)
1/4*(sqrt(pi)*(erf(1) - 1) + sqrt(pi) + 2*e^(-1) - 2)*e^(1/4) -
1/4*(sqrt(pi)*(erf(1) - 1) - sqrt(pi) + 2*e^(-1) - 2)*e^(1/4) # not quite
same as above
sage: _.simplify_rational()
1/2*sqrt(pi)*e^(1/4)
so now I'm really confused.
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