[Maxima] integrate(sin(x)*cos(x),x)
Stavros Macrakis
macrakis at alum.mit.edu
Wed May 16 16:16:16 CDT 2007
On 5/16/07, Doug Stewart <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
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