lst:=[[1/sqrt(-1-sqrt(x))/sqrt(-1+sqrt(x))/sqrt(1+x),x,3,sqrt(1-x)*arcsin(x)/sqrt(-1-sqrt(x))/sqrt(-1+sqrt(x)),1],
[1/sqrt(a-b*sqrt(x))/sqrt(a+b*sqrt(x))/sqrt(b^2*x+a^2),x,3,2*sqrt(-b^2*x+a^2)*arctan(sqrt(b^2*x+a^2)/sqrt(-b^2*x+a^2))/b^2/sqrt(a-b*sqrt(x))/sqrt(a+b*sqrt(x)),1],
[(a-b*x^n)^p*(a+b*x^n)^p*(c+d*x^(2*n))^q,x,4,x*(a-b*x^n)^p*(a+b*x^n)^p*(c+d*x^(2*n))^q*AppellF1(1/2/n,-p,-q,1+1/2/n,b^2*x^(2*n)/a^2,-d*x^(2*n)/c)/((1-b^2*x^(2*n)/a^2)^p)/((1+d*x^(2*n)/c)^q),1],
[(a-b*x^n)^p*(a+b*x^n)^p*(a^2+b^2*x^(2*n))^p,x,3,x*(a-b*x^n)^p*(a+b*x^n)^p*(a^2+b^2*x^(2*n))^p*hypergeom([1/4/n, -p],[1+1/4/n],b^4*x^(4*n)/a^4)/((1-b^4*x^(4*n)/a^4)^p),1],
[(c+d*x^(2*n))^p/(a-b*x^n)/(a+b*x^n),x,3,x*(c+d*x^(2*n))^p*AppellF1(1/2/n,1,-p,1+1/2/n,b^2*x^(2*n)/a^2,-d*x^(2*n)/c)/a^2/((1+d*x^(2*n)/c)^p),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,2,-b^2*(n*p+n+1)*x*(a-b*x^(1/2*n))^(p+1)*(a+b*x^(1/2*n))^(p+1)/a^4/d/n/(p+1)/((-a^2*d*n*(p+1)/b^2/(n*p+n+1)+d*x^n)^((n*p+n+1)/n)),1]]: