Comment #1 on issue 1393 by fredrik.johansson: integrate(x**2 *  
sqrt(5-x**2), x) can't do it yet
http://code.google.com/p/sympy/issues/detail?id=1393

Let's add pattern matching to handle integrals of types such as  
P(x)*sqrt(Q(x)),
P(x)/sqrt(Q(x)), sqrt(Q(x))/P(x), etc.

This should be worthwhile even if the Risch integrator is fixed to handle  
them some
time in the future, because 1) it shouldn't be much work, 2) the code  
should run
faster (and these integrals are common), 3) we might get slightly prettier  
output
(e.g. with inverse trig functions instead of complex logarithms, etc).

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