Comment #5 on issue 3153 by someb...@bluewin.ch: Expansion of 2F1
hyper((1/3, 1/3), (4/3,), a*exp_polar(I*pi)/(b*x)) fails
http://code.google.com/p/sympy/issues/detail?id=3153
The integral 1/(x*(a+b*x)**Rational(1,3)) has a very ugly but closed form.
Please see "Algebraic Function Integration Problem 13" in [3].
[1] http://www.apmaths.uwo.ca/~arich/
[2]
http://www.apmaths.uwo.ca/~arich/IntegrationTestHighlights/TestResultHighlights.html
[3]
http://www.apmaths.uwo.ca/~arich/IntegrationTestHighlights/PortableDocumentFiles/AlgebraicFunctions.pdf
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