[Maxima] Integration has problems with sums

[Andrey G. Grozin]

On Mon, 25 Jun 2007, Robert Dodier wrote:
> By default, Maxima does not treat integrate as linear,
> probably because there are infinite series which cannot
> be integrated term by term. However, for any finite sum,
> the integral of the sum is the sum of the integrals, right?
No.

integrate(f1(x)-f2(x),x,a,b)

can converge, while both

integrate(f1(x),x,a,b)

and

integrate(f2(x),x,a,b)

are divergent.

Andrey