search

rtoy / maxima

A Clone of Maxima's repo
Other
0 stars 0 forks source link

definite integral causes lengthy calculation #3170

Open rtoy opened 2 months ago

rtoy commented 2 months ago

Imported from SourceForge on 2024-07-07 15:52:08 Created by willisbl on 2018-11-20 13:36:07 Original: https://sourceforge.net/p/maxima/bugs/3499

The following definite integral sends Maxima into a lengthy calculation that doesn't seem to end:

integrate(log(2*sqrt(1-x^2)+4),x,1,2);

But the following returns a nounform almost immediately

integrate(log(3*sqrt(1-x^2)+4),x,1,2);
rtoy commented 2 months ago

Imported from SourceForge on 2024-07-07 15:52:09 Created by willisbl on 2018-11-20 16:04:38 Original: https://sourceforge.net/p/maxima/bugs/3499/#7821

I think the problem with this definite integral in computing the limit:

limit(x*log(2*sqrt(1-x^2)+4),x,2,'minus)

I belive that tlimit compute the limit correctly

(%i1)   tlimit(x*log(2*sqrt(1-x^2)+4),x,2,'minus);
(%o1)   2*log(2*sqrt(3)*%i+4)