Updates:
Status: Started
Comment #7 on issue 2315 by matt...@gmail.com: integrate(1/(x**2 + n**2, x)
failure, where n is an integer
http://code.google.com/p/sympy/issues/detail?id=2315
Yes, to_field() will fix this problem (you can also use auto=True
in .div()). However, I would change this to:
if f.degree() < g.degree():
f, g = -g, f
f = f.to_field()
g = g.to_field()
p, q = f.div(g)
because if q != 0, then in .gcdex() conversion will have to happen once
again (.gcdex() always switches to a field, because otherwise the
computation doesn't make sense).
Also look into 271-272. This is where Polys are constructed without domain
tracking. But anyway, changing log_to_atan() is fine, because e.g. if
someone would like to use this implementation for teaching integration
algorithms, then log_to_atan() should be a standalone function.
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