#13733: Incorrect integral in Maxima
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Reporter: kcrisman | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-5.6
Component: calculus | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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See [http://ask.sagemath.org/question/1995/mistake-in-a-indefinite-
integral this ask.sagemath.org question].
{{{
sage: integral(log(cot(x)-1),x,0,pi/4)
ValueError: Integral is divergent.
}}}
But according to the poster it is pi log(2) / 8. And indeed in the most
recent Maxima (5.28) we have
{{{
(%i5) display2d:false;
(%o5) false
(%i6) integrate(log(cot(x)-1),x,0,%pi/4);
Is %pi/8 an ?integer?
n;
Is %pi/4 an ?integer?
n;
Is 2*%pi an ?integer?
n;
(%o6) -(%i*(2*li[2](%i+1)-2*li[2](1-%i))+%pi*log(2))/4
+%i*li[2]((%i+1)/2)/2-%i*li[2](-(%i-1)/2)/2
}}}
though with the interaction this is not an improvement we can immediately
use.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13733>
Sage <http://www.sagemath.org>
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