>
>
> a,b=var('a b');
> assume(4*b^2-4*a^2<0);
> assume((b-a)*(b+a)<0);
> integrate(1/(a-b*sin(x)),x,-oo,oo)
>
> It complains and asks whether (b-a)*(b+a) is negative or positive. This
> is redundatnt as I have already made this clear above. Is this a bug, or
> am I missing something?
>
Unfortunately, Maxima's assumption mechanism (and hence Sage's) is (in
their words) fairly weak. So I don't know that it can do much with that
particular type of assumption, though in the interactive mode Maxima will
of course allow you to answer this.
I wonder what happens if you instead assume b^2<a^2 or b<a or something?
- kcrisman
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