Status: Accepted
Owner: ness...@googlemail.com
Labels: Type-Defect Priority-Medium
New issue 2642 by ness...@googlemail.com: Complicated multiple integral
http://code.google.com/p/sympy/issues/detail?id=2642
Compare issue 2079.
We would like to do integrate(sin(x*y*z), (x, 0, pi), (y, 0, pi), (z, 0,
pi)). In gsoc-3, the followin sequence of steps can be used to evalute this:
http://pastebin.com/raw.php?i=c5EUFijf
Can someone verify the result (equations 12 and 13)?
Details:
equation (2) is the part integrate can do on its own
equation (4) is because of issue 2641
equation (5) is because we need some expansion, otherwise meijerint does
not now how to integrate this. Presumably risch should be able to do
without. polar=True has the same effect as force=True here.
equation (10) computes the lower limit. We have to get rid of the piecewise
because it upsets gruntz (for reasons I have not investigated), we also
have to manually remove the hyper since series expansions are not
implemented (I actually made a misstake here since hyper(0) == 1, but it
does not matter for the limit).
I don't know if the integral can be expressed in terms of simpler functions.
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