#8731: update/upgrade maxima to latest upstream (5.21.1)
---------------------------+------------------------------------------------
Reporter: jason | Owner: tbd
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.4.3
Component: packages | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by kcrisman):
> sage -t -long "4.4.1/devel/sage/sage/symbolic/integration/integral.py"
> **********************************************************************
> File
"/home/grout/sage-4.4.1/devel/sage/sage/symbolic/integration/integral.py",
line 464:
> sage: integrate(sin(x)*cos(10*x)*log(x), x)
> Expected:
> 1/18*log(x)*cos(9*x) - 1/22*log(x)*cos(11*x) -
1/18*integrate(cos(9*x)/x, x) + 1/22*integrate(cos(11*x)/x, x)
> Got:
> 1/198*(11*cos(9*x) - 9*cos(11*x))*log(x) + 1/44*Ei(-11*I*x) -
1/36*Ei(-9*I*x) - 1/36*Ei(9*I*x) + 1/44*Ei(11*I*x)
> **********************************************************************
> }}}
> This is true if the cosine integral ci(x) (Ci in Mma) is
1/2*(Ei(I*x)+Ei(-I*x). Several online references imply it, and also
noting that cos(x) is 1/2*(exp(i*x)+exp(-i*x)) (by Taylor series or
whatever you like) suffices.
Burcin has also already pointed this out at #8624.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8731#comment:31>
Sage <http://www.sagemath.org>
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