Status: Accepted
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 1388 by ondrej.certik: integrate(exp(-x)*x**n, x) fails
http://code.google.com/p/sympy/issues/detail?id=1388
In [7]: integrate(exp(-x)*x**n, x)
---------------------------------------------------------------------------
PolynomialError Traceback (most recent call last)
/home/ondrej/repos/sympy/<ipython console> in <module>()
/home/ondrej/repos/sympy/sympy/utilities/decorator.pyc in
threaded_decorator(expr, *args, **kwargs)
53 return Add(*[ func(f, *args, **kwargs) for f in
expr.args ])
54 else:
---> 55 return func(expr, *args, **kwargs)
56
57 threaded_decorator.__doc__ = func.__doc__
/home/ondrej/repos/sympy/sympy/integrals/integrals.pyc in integrate(*args,
**kwargs)
393
394 if isinstance(integral, Integral):
--> 395 return integral.doit()
396 else:
397 return integral
/home/ondrej/repos/sympy/sympy/integrals/integrals.pyc in doit(self,
**hints)
132
133 for x,ab in self.limits:
--> 134 antideriv = self._eval_integral(function, x)
135
136 if antideriv is None:
/home/ondrej/repos/sympy/sympy/integrals/integrals.pyc in
_eval_integral(self, f, x)
305
306 # fall back to the more general algorithm
--> 307 h = heurisch(g, x, hints=[])
308
309 if h is not None:
/home/ondrej/repos/sympy/sympy/integrals/risch.pyc in heurisch(f, x,
**kwargs)
214
215 denoms = [ g.as_numer_denom()[1] for g in diffs ]
--> 216 denom = reduce(lambda p, q: lcm(p, q, V), denoms)
217
218 numers = [ Poly.cancel(denom * g, *V) for g in diffs ]
/home/ondrej/repos/sympy/sympy/integrals/risch.pyc in <lambda>(p, q)
214
215 denoms = [ g.as_numer_denom()[1] for g in diffs ]
--> 216 denom = reduce(lambda p, q: lcm(p, q, V), denoms)
217
218 numers = [ Poly.cancel(denom * g, *V) for g in diffs ]
/home/ondrej/repos/sympy/sympy/polys/wrappers.pyc in lcm(*args, **kwargs)
/home/ondrej/repos/sympy/sympy/polys/wrappers.pyc in _map_basic(f, n,
*args, **kwargs)
21
22 def _map_basic(f, n, *args, **kwargs):
---> 23 result = f(*_conv_args(n, args), **kwargs)
24
25 if isinstance(result, (list, tuple, set)):
/home/ondrej/repos/sympy/sympy/polys/algorithms.pyc in poly_lcm(f, g,
*symbols)
368 raise SymbolsError("Redundant symbols were given")
369
--> 370 f, g = f.unify_with(g)
371
372 symbols, flags = f.symbols, f.flags
/home/ondrej/repos/sympy/sympy/polys/polynomial.pyc in unify_with(self,
other)
1523 self = cls(self, *symbols, **flags)
1524
-> 1525 other = cls(other, *symbols, **flags)
1526
1527 return self, other
/home/ondrej/repos/sympy/sympy/polys/polynomial.pyc in __new__(cls, poly,
*symbols, **flags)
400 terms = Poly._permute(poly, *symbols)
401 else:
--> 402 terms = Poly._decompose(poly, *symbols)
403
404 if terms:
/home/ondrej/repos/sympy/sympy/polys/polynomial.pyc in _decompose(poly,
*symbols)
543 continue
544
--> 545 raise PolynomialError("Can't decompose %s"
% factor)
546 else:
547 coeff *= factor
PolynomialError: Can't decompose _x3**(4 - 2*n)
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