Comment #14 on issue 2440 by [email protected]: Equal Integrals compare different when using different variables
http://code.google.com/p/sympy/issues/detail?id=2440
The hole in your argument is that if Integral(exp(-x**2), (x, -oo, oo)) != Integral(exp(-y**2), (y, -oo, oo)), you can never turn Integral(exp(-x**2), (x, -oo, oo))**2 into Integral(exp(-x**2), (x, -oo, oo)) * Integral(exp(-y**2), (y, -oo, oo)).
On the other hand, if the integrals are equal and you know the rule int(f(x) dx)**n == int(f(x_1)*...*f(x_n) dx_1*...*dx_n), your procedure works.
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