lst:=[[(f*x+e)^3*(d*x^3+c)^(1/2)/(b*x^3+a),x,1],
[(b*x^3+a)^p*(d*x^3+c)^q*(a*A*c+A*(b*c*(4+3*p)+a*d*(4+3*q))*x^3+A*b*d*(7+3*p+3*q)*x^6),x,1],
[(D*x^9+C*x^6+B*x^3+A)/(b*x^3+a)^(1/3)/(f*x^3+e),x,1],
[(A+B*x^n+C*x^(2*n))/(a+b*x^n)^(1/2)/(e+f*x^n),x,1],
[(a+b*x^n)^p*(c+d*x^n)^q*(a*A*c+A*(b*c*(1+n*(p+1))+a*d*(1+n*(1+q)))*x^n+A*b*d*(1+n*(2+p+q))*x^(2*n)),x,1]]