Status: New
Owner: ----
Labels: Type-Defect Priority-Medium Integration WrongResult

New issue 3761 by [email protected]: incorrect integral evaluation
http://code.google.com/p/sympy/issues/detail?id=3761

sympy gives:

In [1]: integrate(x**(x**x), (x,0,1))
Out[1]: 1/2

a quick numerical estimation gives
import numpy
dx = numpy.linspace(0, 1, num=10000)
sum((dx ** dx ** dx) /10000)
0.57311425488629053

WolframAlpha agrees:

N[Integral[x**(x**x), {x,0,1}], 25]
0.5731215670436195827588303

I have verified this issue in both the 0.7.2 release and the master branch in git, both on 32- and 64-bit systems with CPython 2.7. I also tried pypy on the 64-bit system and found the same issue.

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