Comment #1 on issue 1304 by akshaysrinivasan: Integrate sqrt(x**2 + y**2)
fails
http://code.google.com/p/sympy/issues/detail?id=1304
I traced this problem into heurisch(). Here's are the lines where it goes
wrong:
g=(x**2+y**2)**1/2
.....
elif g.is_Pow: ##Line 186
if g.exp.is_Rational and g.exp.q == 2:
M = g.base.match(a*x**2 + b)
if M is not None and M[b].is_positive:
if M[a].is_positive:
M[b].is_positive returns a AttributeError. The documentation mentions that
by default
a symbol is assumed to be Real, but trying
>>> x.is_Real
False
This IMHO can be fixed by adding a statement which checks if b is positive.
In any case, shouldn't the solution be valid even for negative values of b?
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