Status: Accepted
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 1471 by goriccardo: integrate(1/(x**3+1),(x,0,oo)) return an
expression with x
http://code.google.com/p/sympy/issues/detail?id=1471
In [1]: integrate(1/(x**3+1),(x,0,oo))
Out[1]:
⎛ ⎽⎽⎽ ⎽⎽⎽⎞
⎽⎽⎽ ⎜ ╲╱ 3 2⋅x⋅╲╱ 3 ⎟
⎛ 2⎞ ╲╱ 3 ⋅atan⎜- ───── + ─────────⎟
log⎝1 - x + x ⎠ log(1 + x) ⎝ 3 3 ⎠
- ─────────────── + ────────── + ───────────────────────────────
6 3 3
Right answer should be 2*pi/(3*sqrt(3))
It happens also with every exponent > 3
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