Updates:
Status: Started
Owner: ---
Labels: EasyToFix
Comment #2 on issue 1304 by mattpap: Integrate sqrt(x**2 + y**2) fails
http://code.google.com/p/sympy/issues/detail?id=1304
That's a good catch. The solution should be something like:
diff --git a/sympy/integrals/risch.py b/sympy/integrals/risch.py
index 81e2b7a..23d8bd6 100644
--- a/sympy/integrals/risch.py
+++ b/sympy/integrals/risch.py
@@ -187,11 +187,8 @@ def heurisch(f, x, **kwargs):
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:
- terms.add(asinh(sqrt(M[a]/M[b])*x))
- elif M[a].is_negative:
- terms.add(asin(sqrt(-M[a]/M[b])*x))
+ if M is not None:
+ terms.add(asinh(sqrt(M[a]/M[b])*x))
else:
terms |= set(hints)
and sqrt together with hyperbolic sine should do the rest (simplification).
So, this one is easy to fix (tests are needed). Unfortunately, this is not
the case
with the other mentioned integral.
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