lst:=[[1/(-1-x^(1/2))^(1/2)/(-1+x^(1/2))^(1/2)/(1+x)^(1/2),x,1],
[1/(a-b*x^(1/2))^(1/2)/(a+b*x^(1/2))^(1/2)/(b^2*x+a^2)^(1/2),x,1],
[(a-b*x^n)^p*(a+b*x^n)^p*(c+d*x^(2*n))^q,x,1],
[(a-b*x^n)^p*(a+b*x^n)^p*(a^2+b^2*x^(2*n))^p,x,1],
[(c+d*x^(2*n))^p/(a-b*x^n)/(a+b*x^n),x,1],
[(a-b*x^(1/2*n))^p*(a+b*x^(1/2*n))^p*(a^2*d*(p+1)/b^2/(1+(-n*p-2*n-1)/n)+d*x^n)^((-n*p-2*n-1)/n),x,1]]