#12947: Bug in integrating x*cos(x^3)
----------------------------+-----------------------------------------------
Reporter: kcrisman | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-5.1
Component: calculus | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by kcrisman):
Robert Dodier of Maxima suggests the following later in the thread.
{{{
(%i5) display2d:false;
(%o5) false
(%i6) integrate(x*cos(x^3),x);
(%o6) (gamma_incomplete(2/3,%i*x^3)+gamma_incomplete(2/3,-%i*x^3))/6
(%i7) domain:complex;
(%o7) complex
(%i8) integrate(x*cos(x^3),x);
(%o8) ((sqrt(3)*%i-1)*gamma_incomplete(2/3,%i*x^3)
+(-sqrt(3)*%i-1)*gamma_incomplete(2/3,-%i*x^3))
*(x^3)^(1/3)
/(12*x)
}}}
But this doesn't resolve the original issue.
{{{
(%i1) display2d:false;
(%o1) false
(%i2) integrate(x*cos(x^3),x,0,1/2);
(%o2)
gamma_incomplete(2/3,%i/8)/6+gamma_incomplete(2/3,-%i/8)/6-gamma(2/3)/3
(%i3) domain:complex;
(%o3) complex
(%i4) integrate(x*cos(x^3),x,0,1/2);
(%o4)
gamma_incomplete(2/3,%i/8)/6+gamma_incomplete(2/3,-%i/8)/6-gamma(2/3)/3
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12947#comment:2>
Sage <http://www.sagemath.org>
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