Thanks for sympy, I use it myself and have my physics students use it
as well.
I think there is a bug in the "integrate" command.
Here is my session using IPython
--------------------------------
IPython 0.13.dev -- An enhanced Interactive Python.
? -> Introduction and overview of IPython's features.
%quickref -> Quick reference.
help -> Python's own help system.
object? -> Details about 'object', use 'object??' for extra details.
In [1]: import sympy
In [2]: print(sympy.__version__)
0.7.1
In [3]: from sympy import symbols, integrate, cos, sqrt
In [4]: x = symbols('x')
In [5]: integrate(sqrt(1-cos(x)),x)
Out[5]: Integral((-cos(x) + 1)**(1/2), x)
In [6]: integrate((-cos(x) + 1)**(1/2), x)
Out[6]: x
It seemed there was an issue with "sqrt" so I did it again with
"**(1/2)"
I did it by hand and got: 2 * sqrt(2) * (-cos(x/2)
Matt
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