integrate(sin(x)*cos(x),x)



Stavros Macrakis wrote:
> On 5/16/07, *Doug Stewart* <dastew at sympatico.ca 
> <mailto:dastew at sympatico.ca>> wrote:
>
>     I was just wondering how it picks U and V, because if it picked it the
>     other way around then then it would give sin^2(x)/2 as the answer.
>
>
> Whatever the pattern-matcher picks up first, I suspect, that is, 
> essentially an accident of implementation.  And no, there is no way to 
> control that.
>
>     I also tried
>     integrate(cos(n*x)*sin(n*x),x,0, t)
>     but this doesn't give an answer. Does Maxima know how to do the
>     definite
>     integral from zero to t ?
>
>
> This works fine for me (see below), as does the corresponding 
> indefinite integral.  Perhaps this Web interface doesn't support 
> asking questions?
>
> integrate(cos(n*x)*sin(n*x),x,0, t);
>
> Is  t  positive, negative, or zero?
>     pos;
>
>                2
>        1    cos (n t)
>       --- - ---------
>       2 n      2 n
>
> ------------------------------------------------------------------------
>
> __



Yes the web version does not ask questions so I will use assume(t>0);
Thanks