Comment #3 on issue 1393 by asmeurer: integrate(x**2 * sqrt(5-x**2), x)
can't do it yet
http://code.google.com/p/sympy/issues/detail?id=1393
So part of my GSoC project will be to add more heuristics like this to the
integrator. As Frederik noted, even if
we implement the algebraic case, it will return integrals in terms of
logarithms instead of inverse trig and
hyperbolic trig functions, which might be preferable (though we should also
make it easy to convert between the
two).
Does anyone know what general forms should be accepted for P(x) and Q(x)?
Is there a nice general solution for
polynomials of arbitrary degree that anyone knows of, or does it need to be
quadratic (I guess I need to find a
good integral table)?
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