[Maxima] Integration question (definite integral)
Rupert Swarbrick
rupert.swarbrick at lineone.net
Tue Aug 21 06:16:24 CDT 2007
On Tue, 21 Aug 2007 13:05:14 +0200
max.e.brown at gmail.com wrote:
> When I ask for a definite integral, I get
>
> -8<-----------
> (%i2) integrate(cot(x), x, 0, %pi/2);
> Is sin(x) positive, negative, or zero?
>
> pos;
> Is cos(x) positive, negative, or zero?
>
> zero;
> Integral is divergent
> --------------
>
> Why do I need to specify wether things are positive?
>
> I would have thought that log(sin(%pi/2)) - log(sin(0)) is rather
> simple to evaluate... is there some obvious complication that I am not
> seeing?
>
> Thanks,
>
> Max
Well, log(sin(0)) = log(0) = -infinity, so maybe Maxima's right?
Rupert
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