Surd integration rules

[axkr]

Here are some Surd rules which could be added to the Rubi package:

Int[Surd[x_ ,n_Integer]^p_., x_Symbol] := (n*x*Surd[x, n]^p)/(n + p) /; FreeQ[p, x] && GtQ[n, 0]

Int[(x_^m_)*Surd[x_ ,n_Integer]^p_., x_Symbol] :=  (x^(1 + m)*Surd[x, n]^p)/(1 + m + p/n) /; FreeQ[{m,p}, x] && GtQ[n, 0]