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http://wiki.axiom-developer.org/346ReturnsFormatIntegrationSignFor1TanX13WhichIsElementary/diff
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I'm not so sure whether this integral really is elementary. Mathematica gives
\begin{verbatim}
In[1]:= Integrate[(1 + Tan[x])^(1/3),x]
1/3
3 6 Log[-#1 + (1 + Tan[x]) ] #1
RootSum[2 - 2 #1 + #1 & , ----------------------------- & ]
3
-1 + #1
Out[1]= -------------------------------------------------------------
2
In[2]:= ?RootSum
RootSum[f, form] represents the sum of form[x] for all x that satisfy the
polynomial equation f[x] == 0.
\end{verbatim}
Is the function "n-th root of some univariate polynomial" elementary?
Martin
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