I would like to know how to handle with this issue. Consider a function f=sqrt(cos(x)^3 - 3*cos(x)^2 - cos(x) + 6). It is possible to deal with this function for standard procedures like numerical_integral in (-1,1). If one considers f.canonicalize_radical() it is presented as sqrt(cos(x)^2 - cos(x) - 3)*sqrt(cos(x) - 2), which avoids numerical integration in particular since each factor is complex in (-1,1). It is not solved if x is declared as a real variable (with domain='real'). For this particular function, it is not hard to avoid the issue, but if it appears in more complex expressions, it is less obvious.
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