[Maxima] Another integral not calculated
Richard Fateman
fateman at cs.berkeley.edu
Sun Jun 15 09:45:15 CDT 2008
Try log(x) instead of ln(x). Then it works.
RJF
> -----Original Message-----
> From: maxima-bounces at math.utexas.edu
> [mailto:maxima-bounces at math.utexas.edu] On Behalf Of Krzysztof Lesniak
> Sent: Sunday, June 15, 2008 3:08 AM
> To: maxima at math.utexas.edu
> Subject: [Maxima] Another integral not calculated
>
> It seems that the problem of automatic integration of typical
> functions
> is raised very often. Here is another integral (sorry if I have
> missed some older posts):
>
> (%i1) integrate(ln(x)/x^3, x);
> (%i2) integrate(ln(x)/x^3, x, 1, %e);
>
> Substitution t = ln(x) leads to readily evaluated integrals:
>
> (%i3) integrate(t*exp(-2*t), t);
> (%o3) -((2*t+1)*%e^(-2*t))/4
> (%i4) integrate(t*exp(-2*t), t, 0, 1);
> (%o4) 1/4-(3*%e^(-2))/4
>
> Probably someone eager for integration who knows lisp will finally
> update the .mac files. Unfortunately I don't know lisp :(
> Best regards, Krzysztof Leśniak
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