lst:=[[x^24/(b*x^5+a),x,3,-1/5*a^3*x^5/b^4+1/10*a^2*x^10/b^3-1/15*a*x^15/b^2+1/20*x^20/b+1/5*a^4*ln(b*x^5+a)/b^5,1],
[x^19/(b*x^5+a),x,3,1/5*a^2*x^5/b^3-1/10*a*x^10/b^2+1/15*x^15/b-1/5*a^3*ln(b*x^5+a)/b^4,1],
[x^14/(b*x^5+a),x,3,-1/5*a*x^5/b^2+1/10*x^10/b+1/5*a^2*ln(b*x^5+a)/b^3,1],
[x^9/(b*x^5+a),x,3,1/5*x^5/b-1/5*a*ln(b*x^5+a)/b^2,1],
[x^4/(b*x^5+a),x,1,1/5*ln(b*x^5+a)/b,1],
[1/x/(b*x^5+a),x,3,ln(x)/a-1/5*ln(b*x^5+a)/a,1],
[1/x^6/(b*x^5+a),x,3,-1/5/a/x^5-b*ln(x)/a^2+1/5*b*ln(b*x^5+a)/a^2,1],
[1/x^11/(b*x^5+a),x,3,-1/10/a/x^10+1/5*b/a^2/x^5+b^2*ln(x)/a^3-1/5*b^2*ln(b*x^5+a)/a^3,1],
[1/x^16/(b*x^5+a),x,3,-1/15/a/x^15+1/10*b/a^2/x^10-1/5*b^2/a^3/x^5-b^3*ln(x)/a^4+1/5*b^3*ln(b*x^5+a)/a^4,1],
[x^24/(b*x^5+a)^2,x,3,3/5*a^2*x^5/b^4-1/5*a*x^10/b^3+1/15*x^15/b^2-1/5*a^4/b^5/(b*x^5+a)-4/5*a^3*ln(b*x^5+a)/b^5,1],
[x^19/(b*x^5+a)^2,x,3,-2/5*a*x^5/b^3+1/10*x^10/b^2+1/5*a^3/b^4/(b*x^5+a)+3/5*a^2*ln(b*x^5+a)/b^4,1],
[x^14/(b*x^5+a)^2,x,3,1/5*x^5/b^2-1/5*a^2/b^3/(b*x^5+a)-2/5*a*ln(b*x^5+a)/b^3,1],
[x^9/(b*x^5+a)^2,x,3,1/5*a/b^2/(b*x^5+a)+1/5*ln(b*x^5+a)/b^2,1],
[x^4/(b*x^5+a)^2,x,1,-1/5/b/(b*x^5+a),1],
[1/x/(b*x^5+a)^2,x,3,1/5/a/(b*x^5+a)+ln(x)/a^2-1/5*ln(b*x^5+a)/a^2,1],
[1/x^6/(b*x^5+a)^2,x,3,-1/5/a^2/x^5-1/5*b/a^2/(b*x^5+a)-2*b*ln(x)/a^3+2/5*b*ln(b*x^5+a)/a^3,1],
[1/x^11/(b*x^5+a)^2,x,3,-1/10/a^2/x^10+2/5*b/a^3/x^5+1/5*b^2/a^3/(b*x^5+a)+3*b^2*ln(x)/a^4-3/5*b^2*ln(b*x^5+a)/a^4,1],
[x^14/(b*x^5+2*b),x,3,-2/5*x^5/b+1/10*x^10/b+4/5*ln(x^5+2)/b,1],
[x^9/(b*x^5+2*b),x,3,1/5*x^5/b-2/5*ln(x^5+2)/b,1],
[x^4/(b*x^5+2*b),x,1,1/5*ln(x^5+2)/b,1],
[1/x/(b*x^5+2*b),x,3,1/2*ln(x)/b-1/10*ln(x^5+2)/b,1],
[1/x^6/(b*x^5+2*b),x,3,-1/10/b/x^5-1/4*ln(x)/b+1/20*ln(x^5+2)/b,1],
[x^14/(b*x^5+3),x,3,-3/5*x^5/b^2+1/10*x^10/b+9/5*ln(b*x^5+3)/b^3,1],
[x^9/(b*x^5+3),x,3,1/5*x^5/b-3/5*ln(b*x^5+3)/b^2,1],
[x^4/(b*x^5+3),x,1,1/5*ln(b*x^5+3)/b,1],
[1/x/(b*x^5+3),x,3,1/3*ln(x)-1/15*ln(b*x^5+3),1],
[1/x^6/(b*x^5+3),x,3,-1/15/x^5-1/9*b*ln(x)+1/45*b*ln(b*x^5+3),1],
[x^14/(x^5+1),x,3,-1/5*x^5+1/10*x^10+1/5*ln(x^5+1),1],
[x^9/(x^5+1),x,3,1/5*x^5-1/5*ln(x^5+1),1],
[x^4/(x^5+1),x,1,1/5*ln(x^5+1),1],
[1/x/(x^5+1),x,3,ln(x)-1/5*ln(x^5+1),1],
[1/x^6/(x^5+1),x,3,-1/5/x^5-ln(x)+1/5*ln(x^5+1),1],
[x^5/(x^5+1),x,7,x+1/5*sqrt(5/2+1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))+1/5*sqrt(5/2-1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))-1/5*ln(1+x)+1/20*(1-sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)+1/20*(1+sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[x^3/(x^5+1),x,6,-1/5*sqrt(5/2+1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))-1/5*sqrt(5/2-1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))-1/5*ln(1+x)+1/20*(1-sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)+1/20*(1+sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[x^2/(x^5+1),x,6,1/5*sqrt(5/2-1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))-1/5*sqrt(5/2+1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))+1/5*ln(1+x)-1/20*(1+sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)-1/20*(1-sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[x/(x^5+1),x,6,1/5*sqrt(5/2-1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))-1/5*sqrt(5/2+1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))-1/5*ln(1+x)+1/20*(1+sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)+1/20*(1-sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[1/(x^5+1),x,6,-1/5*sqrt(5/2+1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))-1/5*sqrt(5/2-1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))+1/5*ln(1+x)-1/20*(1-sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)-1/20*(1+sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[1/x^2/(x^5+1),x,7,-1/x+1/5*sqrt(5/2+1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))+1/5*sqrt(5/2-1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))+1/5*ln(1+x)-1/20*(1-sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)-1/20*(1+sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[1/x^3/(x^5+1),x,7,-1/2/x^2-1/5*sqrt(5/2-1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))+1/5*sqrt(5/2+1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))-1/5*ln(1+x)+1/20*(1+sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)+1/20*(1-sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[1/x^4/(x^5+1),x,7,-1/3/x^3-1/5*sqrt(5/2-1/2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))+1/5*sqrt(5/2+1/2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))+1/5*ln(1+x)-1/20*(1+sqrt(5))*ln(1-1/2*(1-sqrt(5))*x+x^2)-1/20*(1-sqrt(5))*ln(1-1/2*(1+sqrt(5))*x+x^2),1],
[x^19*sqrt(b*x^5+a),x,3,-2/15*a^3*(b*x^5+a)^(3/2)/b^4+6/25*a^2*(b*x^5+a)^(5/2)/b^4-6/35*a*(b*x^5+a)^(7/2)/b^4+2/45*(b*x^5+a)^(9/2)/b^4,1],
[x^14*sqrt(b*x^5+a),x,3,2/15*a^2*(b*x^5+a)^(3/2)/b^3-4/25*a*(b*x^5+a)^(5/2)/b^3+2/35*(b*x^5+a)^(7/2)/b^3,1],
[x^9*sqrt(b*x^5+a),x,3,-2/15*a*(b*x^5+a)^(3/2)/b^2+2/25*(b*x^5+a)^(5/2)/b^2,1],
[x^4*sqrt(b*x^5+a),x,1,2/15*(b*x^5+a)^(3/2)/b,1],
[sqrt(b*x^5+a)/x,x,4,2/5*sqrt(b*x^5+a)-2/5*sqrt(a)*arctanh(sqrt(b*x^5+a)/sqrt(a)),1],
[sqrt(b*x^5+a)/x^6,x,4,-1/5*sqrt(b*x^5+a)/x^5-1/5*b*arctanh(sqrt(b*x^5+a)/sqrt(a))/sqrt(a),1],
[sqrt(b*x^5+a)/x^11,x,5,-1/10*sqrt(b*x^5+a)/x^10-1/20*b*sqrt(b*x^5+a)/a/x^5+1/20*b^2*arctanh(sqrt(b*x^5+a)/sqrt(a))/a^(3/2),1],
[sqrt(b*x^5+a)/x^16,x,6,-1/15*sqrt(b*x^5+a)/x^15-1/60*b*sqrt(b*x^5+a)/a/x^10+1/40*b^2*sqrt(b*x^5+a)/a^2/x^5-1/40*b^3*arctanh(sqrt(b*x^5+a)/sqrt(a))/a^(5/2),1],
[x^2*sqrt(b*x^5+a),x,2,1/3*x^3*sqrt(b*x^5+a)*hypergeom([-1/2, 3/5],[8/5],-b*x^5/a)/sqrt(1+b*x^5/a),1],
[x*sqrt(b*x^5+a),x,2,1/2*x^2*sqrt(b*x^5+a)*hypergeom([-1/2, 2/5],[7/5],-b*x^5/a)/sqrt(1+b*x^5/a),1],
[sqrt(b*x^5+a),x,2,x*sqrt(b*x^5+a)*hypergeom([-1/2, 1/5],[6/5],-b*x^5/a)/sqrt(1+b*x^5/a),1],
[sqrt(b*x^5+a)/x^2,x,2,-sqrt(b*x^5+a)*hypergeom([-1/2, -1/5],[4/5],-b*x^5/a)/x/sqrt(1+b*x^5/a),1],
[sqrt(b*x^5+a)/x^3,x,2,-1/2*sqrt(b*x^5+a)*hypergeom([-1/2, -2/5],[3/5],-b*x^5/a)/x^2/sqrt(1+b*x^5/a),1],
[sqrt(b*x^5+a)/x^4,x,2,-1/3*sqrt(b*x^5+a)*hypergeom([-3/5, -1/2],[2/5],-b*x^5/a)/x^3/sqrt(1+b*x^5/a),1],
[x^19/sqrt(b*x^5+a),x,3,-2/5*a^3*sqrt(b*x^5+a)/b^4+2/5*a^2*(b*x^5+a)^(3/2)/b^4-6/25*a*(b*x^5+a)^(5/2)/b^4+2/35*(b*x^5+a)^(7/2)/b^4,1],
[x^14/sqrt(b*x^5+a),x,3,2/5*a^2*sqrt(b*x^5+a)/b^3-4/15*a*(b*x^5+a)^(3/2)/b^3+2/25*(b*x^5+a)^(5/2)/b^3,1],
[x^9/sqrt(b*x^5+a),x,3,-2/5*a*sqrt(b*x^5+a)/b^2+2/15*(b*x^5+a)^(3/2)/b^2,1],
[x^4/sqrt(b*x^5+a),x,1,2/5*sqrt(b*x^5+a)/b,1],
[1/x/sqrt(b*x^5+a),x,2,-2/5*arctanh(sqrt(b*x^5+a)/sqrt(a))/sqrt(a),1],
[1/x^6/sqrt(b*x^5+a),x,4,-1/5*sqrt(b*x^5+a)/a/x^5+1/5*b*arctanh(sqrt(b*x^5+a)/sqrt(a))/a^(3/2),1],
[1/x^11/sqrt(b*x^5+a),x,5,-1/10*sqrt(b*x^5+a)/a/x^10+3/20*b*sqrt(b*x^5+a)/a^2/x^5-3/20*b^2*arctanh(sqrt(b*x^5+a)/sqrt(a))/a^(5/2),1],
[x^2/sqrt(b*x^5+a),x,2,1/3*x^3*sqrt(1+b*x^5/a)*hypergeom([1/2, 3/5],[8/5],-b*x^5/a)/sqrt(b*x^5+a),1],
[x/sqrt(b*x^5+a),x,2,1/2*x^2*sqrt(1+b*x^5/a)*hypergeom([2/5, 1/2],[7/5],-b*x^5/a)/sqrt(b*x^5+a),1],
[1/sqrt(b*x^5+a),x,2,x*sqrt(1+b*x^5/a)*hypergeom([1/5, 1/2],[6/5],-b*x^5/a)/sqrt(b*x^5+a),1],
[1/x^2/sqrt(b*x^5+a),x,2,-sqrt(1+b*x^5/a)*hypergeom([-1/5, 1/2],[4/5],-b*x^5/a)/x/sqrt(b*x^5+a),1],
[1/x^3/sqrt(b*x^5+a),x,2,-1/2*sqrt(1+b*x^5/a)*hypergeom([-2/5, 1/2],[3/5],-b*x^5/a)/x^2/sqrt(b*x^5+a),1],
[x^(23/2)/sqrt(b*x^5+a),x,6,-3/20*a*x^(5/2)*sqrt(b*x^5+a)/b^2+1/10*x^(15/2)*sqrt(b*x^5+a)/b+3/20*a^2*arctanh(sqrt(b)*x^(5/2)/sqrt(b*x^5+a))/b^(5/2),1],
[x^(13/2)/sqrt(b*x^5+a),x,5,1/5*x^(5/2)*sqrt(b*x^5+a)/b-1/5*a*arctanh(sqrt(b)*x^(5/2)/sqrt(b*x^5+a))/b^(3/2),1],
[x^(3/2)/sqrt(b*x^5+a),x,4,2/5*arctanh(sqrt(b)*x^(5/2)/sqrt(b*x^5+a))/sqrt(b),1],
[1/x^(7/2)/sqrt(b*x^5+a),x,1,-2/5*sqrt(b*x^5+a)/a/x^(5/2),1],
[1/x^(17/2)/sqrt(b*x^5+a),x,2,-2/15*sqrt(b*x^5+a)/a/x^(15/2)+4/15*b*sqrt(b*x^5+a)/a^2/x^(5/2),1],
[x^(23/2)/sqrt(x^5+1),x,5,-3/20*x^(5/2)*sqrt(x^5+1)+1/10*x^(15/2)*sqrt(x^5+1)+3/20*arcsinh(x^(5/2)),1],
[x^(13/2)/sqrt(x^5+1),x,4,1/5*x^(5/2)*sqrt(x^5+1)-1/5*arcsinh(x^(5/2)),1],
[x^(3/2)/sqrt(x^5+1),x,3,2/5*arcsinh(x^(5/2)),1],
[1/x^(7/2)/sqrt(x^5+1),x,1,-2/5*sqrt(x^5+1)/x^(5/2),1],
[1/x^(17/2)/sqrt(x^5+1),x,2,-2/15*sqrt(x^5+1)/x^(15/2)+4/15*sqrt(x^5+1)/x^(5/2),1],
[x^11/(b*x^6+a),x,3,1/6*x^6/b-1/6*a*ln(b*x^6+a)/b^2,1],
[x^5/(b*x^6+a),x,1,1/6*ln(b*x^6+a)/b,1],
[1/x/(b*x^6+a),x,3,ln(x)/a-1/6*ln(b*x^6+a)/a,1],
[x^8/(b*x^6+a),x,3,1/3*x^3/b-1/3*sqrt(a)*arctan(sqrt(b)*x^3/sqrt(a))/b^(3/2),1],
[x^2/(b*x^6+a),x,2,1/3*arctan(sqrt(b)*x^3/sqrt(a))/sqrt(a)/sqrt(b),1],
[1/x^4/(b*x^6+a),x,3,-1/3/a/x^3-1/3*sqrt(b)*arctan(sqrt(b)*x^3/sqrt(a))/a^(3/2),1],
[x^7/(b*x^6+a),x,8,1/2*x^2/b+1/2*a^(1/3)*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/b^(4/3)-1/6*a^(1/3)*ln(a^(1/3)+b^(1/3)*x^2)/b^(4/3)+1/12*a^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/b^(4/3),1],
[x^3/(b*x^6+a),x,7,-1/2*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/a^(1/3)/b^(2/3)-1/6*ln(a^(1/3)+b^(1/3)*x^2)/a^(1/3)/b^(2/3)+1/12*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/a^(1/3)/b^(2/3),1],
[x/(b*x^6+a),x,7,-1/2*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(1/3)+1/6*ln(a^(1/3)+b^(1/3)*x^2)/a^(2/3)/b^(1/3)-1/12*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/a^(2/3)/b^(1/3),1],
[1/x^3/(b*x^6+a),x,8,-1/2/a/x^2+1/2*b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)+1/6*b^(1/3)*ln(a^(1/3)+b^(1/3)*x^2)/a^(4/3)-1/12*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/a^(4/3),1],
[x^6/(b*x^6+a),x,11,x/b-1/3*a^(1/6)*arctan(b^(1/6)*x/a^(1/6))/b^(7/6)+1/6*a^(1/6)*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/b^(7/6)-1/6*a^(1/6)*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/b^(7/6)-1/2*a^(1/6)*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/b^(7/6),1],
[x^4/(b*x^6+a),x,10,1/3*arctan(b^(1/6)*x/a^(1/6))/a^(1/6)/b^(5/6)-1/6*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/a^(1/6)/b^(5/6)+1/6*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/a^(1/6)/b^(5/6)-1/2*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/a^(1/6)/b^(5/6),1],
[1/(b*x^6+a),x,10,1/3*arctan(b^(1/6)*x/a^(1/6))/a^(5/6)/b^(1/6)-1/6*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/a^(5/6)/b^(1/6)+1/6*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/a^(5/6)/b^(1/6)+1/2*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/a^(5/6)/b^(1/6),1],
[1/x^2/(b*x^6+a),x,11,-1/a/x-1/3*b^(1/6)*arctan(b^(1/6)*x/a^(1/6))/a^(7/6)+1/6*b^(1/6)*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/a^(7/6)-1/6*b^(1/6)*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/a^(7/6)+1/2*b^(1/6)*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/a^(7/6),1],
[x^11/(b*x^6+a)^2,x,3,1/6*a/b^2/(b*x^6+a)+1/6*ln(b*x^6+a)/b^2,1],
[x^5/(b*x^6+a)^2,x,1,-1/6/b/(b*x^6+a),1],
[1/x/(b*x^6+a)^2,x,3,1/6/a/(b*x^6+a)+ln(x)/a^2-1/6*ln(b*x^6+a)/a^2,1],
[x^14/(b*x^6+a)^2,x,5,1/3*x^3/b^2+1/6*a*x^3/b^2/(b*x^6+a)-1/2*sqrt(a)*arctan(sqrt(b)*x^3/sqrt(a))/b^(5/2),1],
[x^8/(b*x^6+a)^2,x,3,-1/6*x^3/b/(b*x^6+a)+1/6*arctan(sqrt(b)*x^3/sqrt(a))/sqrt(a)/b^(3/2),1],
[x^2/(b*x^6+a)^2,x,3,1/6*x^3/a/(b*x^6+a)+1/6*arctan(sqrt(b)*x^3/sqrt(a))/a^(3/2)/sqrt(b),1],
[1/x^4/(b*x^6+a)^2,x,4,-1/3/a^2/x^3-1/6*b*x^3/a^2/(b*x^6+a)-1/2*sqrt(b)*arctan(sqrt(b)*x^3/sqrt(a))/a^(5/2),1],
[x^13/(b*x^6+a)^2,x,10,1/2*x^2/b^2+1/6*a*x^2/b^2/(b*x^6+a)+2/3*a^(1/3)*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/b^(7/3)-2/9*a^(1/3)*ln(a^(1/3)+b^(1/3)*x^2)/b^(7/3)+1/9*a^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/b^(7/3),1],
[x^7/(b*x^6+a)^2,x,8,-1/6*x^2/b/(b*x^6+a)-1/6*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(4/3)+1/18*ln(a^(1/3)+b^(1/3)*x^2)/a^(2/3)/b^(4/3)-1/36*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/a^(2/3)/b^(4/3),1],
[x^3/(b*x^6+a)^2,x,8,1/6*x^4/a/(b*x^6+a)-1/6*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/b^(2/3)-1/18*ln(a^(1/3)+b^(1/3)*x^2)/a^(4/3)/b^(2/3)+1/36*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/a^(4/3)/b^(2/3),1],
[x/(b*x^6+a)^2,x,8,1/6*x^2/a/(b*x^6+a)-1/3*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(1/3)+1/9*ln(a^(1/3)+b^(1/3)*x^2)/a^(5/3)/b^(1/3)-1/18*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/a^(5/3)/b^(1/3),1],
[1/x^3/(b*x^6+a)^2,x,9,-1/2/a^2/x^2-1/6*b*x^4/a^2/(b*x^6+a)+2/3*b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*x^2)/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)+2/9*b^(1/3)*ln(a^(1/3)+b^(1/3)*x^2)/a^(7/3)-1/9*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x^2+b^(2/3)*x^4)/a^(7/3),1],
[x^12/(b*x^6+a)^2,x,13,x/b^2+1/6*a*x/b^2/(b*x^6+a)-7/18*a^(1/6)*arctan(b^(1/6)*x/a^(1/6))/b^(13/6)+7/36*a^(1/6)*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/b^(13/6)-7/36*a^(1/6)*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/b^(13/6)-7/12*a^(1/6)*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/b^(13/6),1],
[x^6/(b*x^6+a)^2,x,11,-1/6*x/b/(b*x^6+a)+1/18*arctan(b^(1/6)*x/a^(1/6))/a^(5/6)/b^(7/6)-1/36*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/a^(5/6)/b^(7/6)+1/36*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/a^(5/6)/b^(7/6)+1/12*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/a^(5/6)/b^(7/6),1],
[x^4/(b*x^6+a)^2,x,11,1/6*x^5/a/(b*x^6+a)+1/18*arctan(b^(1/6)*x/a^(1/6))/a^(7/6)/b^(5/6)-1/36*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/a^(7/6)/b^(5/6)+1/36*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/a^(7/6)/b^(5/6)-1/12*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/a^(7/6)/b^(5/6),1],
[1/(b*x^6+a)^2,x,11,1/6*x/a/(b*x^6+a)+5/18*arctan(b^(1/6)*x/a^(1/6))/a^(11/6)/b^(1/6)-5/36*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/a^(11/6)/b^(1/6)+5/36*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/a^(11/6)/b^(1/6)+5/12*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/a^(11/6)/b^(1/6),1],
[1/x^2/(b*x^6+a)^2,x,12,-1/a^2/x-1/6*b*x^5/a^2/(b*x^6+a)-7/18*b^(1/6)*arctan(b^(1/6)*x/a^(1/6))/a^(13/6)+7/36*b^(1/6)*arctan(sqrt(3)-2*b^(1/6)*x/a^(1/6))/a^(13/6)-7/36*b^(1/6)*arctan(sqrt(3)+2*b^(1/6)*x/a^(1/6))/a^(13/6)+7/12*b^(1/6)*arctanh(sqrt(3)*a^(1/6)*b^(1/6)*x/(a^(1/3)+b^(1/3)*x^2))/sqrt(3)/a^(13/6),1],
[x^8/(-x^6+1),x,3,-1/3*x^3+1/3*arctanh(x^3),1],
[x^7/(-x^6+1),x,8,-1/2*x^2+1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(-x^2+1)+1/12*ln(x^4+x^2+1),1],
[x^6/(-x^6+1),x,11,-x+1/2*arctan(sqrt(3)*x/(-x^2+1))/sqrt(3)+1/3*arctanh(x)+1/6*arctanh(x/(x^2+1)),1],
[x^5/(-x^6+1),x,1,-1/6*ln(-x^6+1),1],
[x^4/(-x^6+1),x,10,-1/2*arctan(sqrt(3)*x/(-x^2+1))/sqrt(3)+1/3*arctanh(x)+1/6*arctanh(x/(x^2+1)),1],
[x^3/(-x^6+1),x,7,-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(-x^2+1)+1/12*ln(x^4+x^2+1),1],
[x^2/(-x^6+1),x,2,1/3*arctanh(x^3),1],
[x/(-x^6+1),x,7,1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(-x^2+1)+1/12*ln(x^4+x^2+1),1],
[1/(-x^6+1),x,10,1/2*arctan(sqrt(3)*x/(-x^2+1))/sqrt(3)+1/3*arctanh(x)+1/6*arctanh(x/(x^2+1)),1],
[1/x/(-x^6+1),x,3,ln(x)-1/6*ln(-x^6+1),1],
[1/x^2/(-x^6+1),x,11,-1/x-1/2*arctan(sqrt(3)*x/(-x^2+1))/sqrt(3)+1/3*arctanh(x)+1/6*arctanh(x/(x^2+1)),1],
[1/x^3/(-x^6+1),x,8,-1/2/x^2-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(-x^2+1)+1/12*ln(x^4+x^2+1),1],
[1/x^4/(-x^6+1),x,3,-1/3/x^3+1/3*arctanh(x^3),1],
[1/x^5/(-x^6+1),x,8,-1/4/x^4+1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(-x^2+1)+1/12*ln(x^4+x^2+1),1],
[1/x^6/(-x^6+1),x,11,-1/5/x^5-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/3*arctanh(x)+1/6*arctanh(x/(x^2+1)),1],
[1/x^7/(-x^6+1),x,3,-1/6/x^6+ln(x)-1/6*ln(-x^6+1),1],
[1/x^8/(-x^6+1),x,12,-1/7/x^7-1/x+1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/3*arctanh(x)+1/6*arctanh(x/(x^2+1)),1],
[x^8/(x^6+1),x,3,1/3*x^3-1/3*arctan(x^3),1],
[x^7/(x^6+1),x,8,1/2*x^2+1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(x^2+1)+1/12*ln(x^4-x^2+1),1],
[x^6/(x^6+1),x,11,x+1/6*arctan(sqrt(3)-2*x)-1/3*arctan(x)-1/6*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^5/(x^6+1),x,1,1/6*ln(x^6+1),1],
[x^4/(x^6+1),x,10,-1/6*arctan(sqrt(3)-2*x)+1/3*arctan(x)+1/6*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^3/(x^6+1),x,7,-1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(x^2+1)+1/12*ln(x^4-x^2+1),1],
[x^2/(x^6+1),x,2,1/3*arctan(x^3),1],
[x/(x^6+1),x,7,-1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+1/6*ln(x^2+1)-1/12*ln(x^4-x^2+1),1],
[1/(x^6+1),x,10,-1/6*arctan(sqrt(3)-2*x)+1/3*arctan(x)+1/6*arctan(sqrt(3)+2*x)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x/(x^6+1),x,3,ln(x)-1/6*ln(x^6+1),1],
[1/x^2/(x^6+1),x,11,-1/x+1/6*arctan(sqrt(3)-2*x)-1/3*arctan(x)-1/6*arctan(sqrt(3)+2*x)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^3/(x^6+1),x,8,-1/2/x^2+1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+1/6*ln(x^2+1)-1/12*ln(x^4-x^2+1),1],
[1/x^4/(x^6+1),x,3,-1/3/x^3-1/3*arctan(x^3),1],
[1/x^5/(x^6+1),x,8,-1/4/x^4+1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)-1/6*ln(x^2+1)+1/12*ln(x^4-x^2+1),1],
[1/x^6/(x^6+1),x,11,-1/5/x^5+1/6*arctan(sqrt(3)-2*x)-1/3*arctan(x)-1/6*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^7/(x^6+1),x,3,-1/6/x^6-ln(x)+1/6*ln(x^6+1),1],
[1/x^8/(x^6+1),x,12,-1/7/x^7+1/x-1/6*arctan(sqrt(3)-2*x)+1/3*arctan(x)+1/6*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^(1/3)/(-x^6+1),x,8,-1/2*arctan((1+2*x^(2/3))/sqrt(3))/sqrt(3)+1/3*arctan((x^(2/3)-cos(2/9*Pi))*csc(2/9*Pi))*cos(1/18*Pi)-1/6*ln(1-x^(2/3))+1/12*ln(1+x^(2/3)+x^(4/3))-1/6*cos(2/9*Pi)*ln(1+x^(4/3)+2*x^(2/3)*cos(1/9*Pi))+1/6*cos(1/9*Pi)*ln(1+x^(4/3)-2*x^(2/3)*sin(1/18*Pi))-1/6*ln(1+x^(4/3)-2*x^(2/3)*cos(2/9*Pi))*sin(1/18*Pi)+1/3*arctan(sec(1/18*Pi)*(x^(2/3)-sin(1/18*Pi)))*sin(1/9*Pi)-1/3*arctan((x^(2/3)+cos(1/9*Pi))*csc(1/9*Pi))*sin(2/9*Pi),1],
[x^8*sqrt(4*x^6-1),x,5,-1/96*x^3*sqrt(4*x^6-1)+1/12*x^9*sqrt(4*x^6-1)-1/192*arctanh(2*x^3/sqrt(4*x^6-1)),1],
[x^5*sqrt(a^6-x^6),x,1,-1/9*(a^6-x^6)^(3/2),1],
[x^2*sqrt(x^6-2),x,4,1/6*x^3*sqrt(x^6-2)-1/3*arctanh(x^3/sqrt(x^6-2)),1],
[x^23/sqrt(x^6+2),x,3,-8/3*sqrt(x^6+2)+4/3*(x^6+2)^(3/2)-2/5*(x^6+2)^(5/2)+1/21*(x^6+2)^(7/2),1],
[x^17/sqrt(x^6+2),x,3,4/3*sqrt(x^6+2)-4/9*(x^6+2)^(3/2)+1/15*(x^6+2)^(5/2),1],
[x^11/sqrt(x^6+2),x,3,-2/3*sqrt(x^6+2)+1/9*(x^6+2)^(3/2),1],
[x^5/sqrt(x^6+2),x,1,1/3*sqrt(x^6+2),1],
[1/x/sqrt(x^6+2),x,2,-1/3*arctanh(sqrt(x^6+2)/sqrt(2))/sqrt(2),1],
[1/x^7/sqrt(x^6+2),x,4,-1/12*sqrt(x^6+2)/x^6+1/12*arctanh(sqrt(x^6+2)/sqrt(2))/sqrt(2),1],
[1/x^13/sqrt(x^6+2),x,5,-1/24*sqrt(x^6+2)/x^12+1/32*sqrt(x^6+2)/x^6-1/32*arctanh(sqrt(x^6+2)/sqrt(2))/sqrt(2),1],
[x^14/sqrt(x^6+2),x,4,-1/4*x^3*sqrt(x^6+2)+1/12*x^9*sqrt(x^6+2)+1/2*arcsinh(x^3/sqrt(2)),1],
[x^8/sqrt(x^6+2),x,3,1/6*x^3*sqrt(x^6+2)-1/3*arcsinh(x^3/sqrt(2)),1],
[x^2/sqrt(x^6+2),x,2,1/3*arcsinh(x^3/sqrt(2)),1],
[1/x^4/sqrt(x^6+2),x,1,-1/6*sqrt(x^6+2)/x^3,1],
[1/x^10/sqrt(x^6+2),x,2,-1/18*sqrt(x^6+2)/x^9+1/18*sqrt(x^6+2)/x^3,1],
[1/x^16/sqrt(x^6+2),x,3,-1/30*sqrt(x^6+2)/x^15+1/45*sqrt(x^6+2)/x^9-1/45*sqrt(x^6+2)/x^3,1],
[x^7/sqrt(x^6+2),x,3,1/5*x^2*sqrt(x^6+2)-2/15*2^(5/6)*sqrt(2+sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x/sqrt(x^6+2),x,2,1/6*2^(5/6)*sqrt(2+sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[1/x^5/sqrt(x^6+2),x,3,-1/8*sqrt(x^6+2)/x^4-1/48*2^(5/6)*sqrt(2+sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^6/sqrt(x^6+2),x,2,1/4*x*sqrt(x^6+2)-1/24*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[1/sqrt(x^6+2),x,1,1/12*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[1/x^6/sqrt(x^6+2),x,2,-1/10*sqrt(x^6+2)/x^5-1/60*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[x^9/sqrt(x^6+2),x,5,1/7*x^4*sqrt(x^6+2)-8*sqrt(x^6+2)/(7*2^(1/3)*(1+sqrt(3))+7*x^2)+4/7*2^(1/6)*3^(1/4)*sqrt(2-sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*EllipticE(sin(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2))),sqrt(-7-4*sqrt(3)))/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2)-8/21*2^(2/3)*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^3/sqrt(x^6+2),x,4,sqrt(x^6+2)/(2^(1/3)*(1+sqrt(3))+x^2)-1/2*2^(1/6)*3^(1/4)*sqrt(2-sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*EllipticE(sin(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2))),sqrt(-7-4*sqrt(3)))/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2)+1/3*2^(2/3)*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[1/x^3/sqrt(x^6+2),x,5,-1/4*sqrt(x^6+2)/x^2+sqrt(x^6+2)/(4*2^(1/3)*(1+sqrt(3))+4*x^2)-1/8*2^(1/6)*3^(1/4)*sqrt(2-sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*EllipticE(sin(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2))),sqrt(-7-4*sqrt(3)))/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2)+1/12*2^(2/3)*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^10/sqrt(x^6+2),x,4,1/8*x^5*sqrt(x^6+2)-5*(1+sqrt(3))*x*sqrt(x^6+2)/(8*2^(1/3)+8*(1+sqrt(3))*x^2)+5/8*3^(1/4)*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*EllipticE(sin(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2))),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2)+5/48*(1-sqrt(3))*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[x^4/sqrt(x^6+2),x,3,(1+sqrt(3))*x*sqrt(x^6+2)/(2*2^(1/3)+2*(1+sqrt(3))*x^2)-1/2*3^(1/4)*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*EllipticE(sin(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2))),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2)-1/12*(1-sqrt(3))*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[1/x^2/sqrt(x^6+2),x,4,-1/2*sqrt(x^6+2)/x+(1+sqrt(3))*x*sqrt(x^6+2)/(2*2^(1/3)+2*(1+sqrt(3))*x^2)-1/2*3^(1/4)*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*EllipticE(sin(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2))),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2)-1/12*(1-sqrt(3))*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[x^23/(x^6+2)^(3/2),x,3,8/3/sqrt(x^6+2)+4*sqrt(x^6+2)-2/3*(x^6+2)^(3/2)+1/15*(x^6+2)^(5/2),1],
[x^17/(x^6+2)^(3/2),x,3,-4/3/sqrt(x^6+2)-4/3*sqrt(x^6+2)+1/9*(x^6+2)^(3/2),1],
[x^11/(x^6+2)^(3/2),x,3,2/3/sqrt(x^6+2)+1/3*sqrt(x^6+2),1],
[x^5/(x^6+2)^(3/2),x,1,-1/3/sqrt(x^6+2),1],
[1/x/(x^6+2)^(3/2),x,4,1/6/sqrt(x^6+2)-1/6*arctanh(sqrt(x^6+2)/sqrt(2))/sqrt(2),1],
[1/x^7/(x^6+2)^(3/2),x,5,-1/8/sqrt(x^6+2)-1/12/x^6/sqrt(x^6+2)+1/8*arctanh(sqrt(x^6+2)/sqrt(2))/sqrt(2),1],
[1/x^13/(x^6+2)^(3/2),x,6,5/64/sqrt(x^6+2)-1/24/x^12/sqrt(x^6+2)+5/96/x^6/sqrt(x^6+2)-5/64*arctanh(sqrt(x^6+2)/sqrt(2))/sqrt(2),1],
[x^14/(x^6+2)^(3/2),x,4,-1/3*x^9/sqrt(x^6+2)+1/2*x^3*sqrt(x^6+2)-arcsinh(x^3/sqrt(2)),1],
[x^8/(x^6+2)^(3/2),x,3,-1/3*x^3/sqrt(x^6+2)+1/3*arcsinh(x^3/sqrt(2)),1],
[x^2/(x^6+2)^(3/2),x,2,1/6*x^3/sqrt(x^6+2),1],
[1/x^4/(x^6+2)^(3/2),x,2,1/6/x^3/sqrt(x^6+2)-1/6*sqrt(x^6+2)/x^3,1],
[1/x^10/(x^6+2)^(3/2),x,3,1/6/x^9/sqrt(x^6+2)-1/9*sqrt(x^6+2)/x^9+1/9*sqrt(x^6+2)/x^3,1],
[x^13/(x^6+2)^(3/2),x,4,-1/3*x^8/sqrt(x^6+2)+8/15*x^2*sqrt(x^6+2)-16/45*2^(5/6)*sqrt(2+sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^7/(x^6+2)^(3/2),x,3,-1/3*x^2/sqrt(x^6+2)+1/9*2^(5/6)*sqrt(2+sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x/(x^6+2)^(3/2),x,3,1/6*x^2/sqrt(x^6+2)+1/36*2^(5/6)*sqrt(2+sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[1/x^5/(x^6+2)^(3/2),x,4,1/6/x^4/sqrt(x^6+2)-7/48*sqrt(x^6+2)/x^4-7/288*2^(5/6)*sqrt(2+sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^12/(x^6+2)^(3/2),x,3,-1/3*x^7/sqrt(x^6+2)+7/12*x*sqrt(x^6+2)-7/72*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[x^6/(x^6+2)^(3/2),x,2,-1/3*x/sqrt(x^6+2)+1/36*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[1/(x^6+2)^(3/2),x,2,1/6*x/sqrt(x^6+2)+1/36*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[1/x^6/(x^6+2)^(3/2),x,3,1/6/x^5/sqrt(x^6+2)-2/15*sqrt(x^6+2)/x^5-1/45*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[x^15/(x^6+2)^(3/2),x,6,-1/3*x^10/sqrt(x^6+2)+10/21*x^4*sqrt(x^6+2)-80*sqrt(x^6+2)/(21*2^(1/3)*(1+sqrt(3))+21*x^2)+40/21*2^(1/6)*sqrt(2-sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*EllipticE(sin(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2))),sqrt(-7-4*sqrt(3)))*3^(1/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2)-80/63*2^(2/3)*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^9/(x^6+2)^(3/2),x,5,-1/3*x^4/sqrt(x^6+2)+4*sqrt(x^6+2)/(3*2^(1/3)*(1+sqrt(3))+3*x^2)-2/3*2^(1/6)*sqrt(2-sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*EllipticE(sin(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2))),sqrt(-7-4*sqrt(3)))*3^(1/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2)+4/9*2^(2/3)*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^3/(x^6+2)^(3/2),x,5,1/6*x^4/sqrt(x^6+2)-sqrt(x^6+2)/(6*2^(1/3)*(1+sqrt(3))+6*x^2)+1/12*2^(1/6)*sqrt(2-sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*EllipticE(sin(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2))),sqrt(-7-4*sqrt(3)))*3^(1/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2)-1/18*2^(2/3)*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[1/x^3/(x^6+2)^(3/2),x,6,1/6/x^2/sqrt(x^6+2)-5/24*sqrt(x^6+2)/x^2+5*sqrt(x^6+2)/(24*2^(1/3)*(1+sqrt(3))+24*x^2)-5/48*2^(1/6)*sqrt(2-sqrt(3))*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*EllipticE(sin(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2))),sqrt(-7-4*sqrt(3)))*3^(1/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2)+5/72*2^(2/3)*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)*(1+sqrt(3))+x^2)^2)*InverseJacobiAM(arcsin((2^(1/3)*(1-sqrt(3))+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((2^(1/3)+x^2)/(2^(1/3)*(1+sqrt(3))+x^2)^2)/sqrt(x^6+2),1],
[x^10/(x^6+2)^(3/2),x,4,-1/3*x^5/sqrt(x^6+2)+5*(1+sqrt(3))*x*sqrt(x^6+2)/(6*2^(1/3)+6*(1+sqrt(3))*x^2)-5/6*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*EllipticE(sin(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2))),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(1/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2)-5/36*(1-sqrt(3))*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[x^4/(x^6+2)^(3/2),x,4,1/6*x^5/sqrt(x^6+2)-(1+sqrt(3))*x*sqrt(x^6+2)/(6*2^(1/3)+6*(1+sqrt(3))*x^2)+1/6*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*EllipticE(sin(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2))),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(1/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2)+1/36*(1-sqrt(3))*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[1/x^2/(x^6+2)^(3/2),x,5,1/6/x/sqrt(x^6+2)-1/3*sqrt(x^6+2)/x+(1+sqrt(3))*x*sqrt(x^6+2)/(3*2^(1/3)+3*(1+sqrt(3))*x^2)-1/3*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*EllipticE(sin(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2))),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(1/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2)-1/18*(1-sqrt(3))*x*(2^(1/3)+x^2)*sqrt((2^(2/3)-2^(1/3)*x^2+x^4)/(2^(1/3)+(1+sqrt(3))*x^2)^2)*InverseJacobiAM(arccos((2^(1/3)+(1-sqrt(3))*x^2)/(2^(1/3)+(1+sqrt(3))*x^2)),sqrt(1/2+1/4*sqrt(3)))*2^(1/3)*3^(3/4)/sqrt(x^2*(2^(1/3)+x^2)/(2^(1/3)+(1+sqrt(3))*x^2)^2)/sqrt(x^6+2),1],
[x^8/(b*x^6+a)^(1/3),x,6,1/7*x^3*(b*x^6+a)^(2/3)/b+3/7*a*x^3/b/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))-3/14*3^(1/4)*sqrt(2+sqrt(3))*a^(4/3)*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)+1/7*sqrt(2)*3^(3/4)*a^(4/3)*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[x^2/(b*x^6+a)^(1/3),x,5,-x^3/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))+1/2*3^(1/4)*sqrt(2+sqrt(3))*a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3)))),sqrt(-7+4*sqrt(3)))/b/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)-1/3*sqrt(2)*a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))*3^(3/4)/b/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[1/x^4/(b*x^6+a)^(1/3),x,6,-1/3*(b*x^6+a)^(2/3)/a/x^3-1/3*b*x^3/a/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))+1/6*sqrt(2+sqrt(3))*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3)))),sqrt(-7+4*sqrt(3)))*3^(1/4)/a^(2/3)/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)-1/9*sqrt(2)*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))*3^(3/4)/a^(2/3)/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[x^6/(b*x^6+a)^(1/3),x,2,1/7*x^7*(1+b*x^6/a)^(1/3)*hypergeom([1/3, 7/6],[13/6],-b*x^6/a)/(b*x^6+a)^(1/3),1],
[x^4/(b*x^6+a)^(1/3),x,2,1/5*x^5*(1+b*x^6/a)^(1/3)*hypergeom([1/3, 5/6],[11/6],-b*x^6/a)/(b*x^6+a)^(1/3),1],
[1/(b*x^6+a)^(1/3),x,2,x*(1+b*x^6/a)^(1/3)*hypergeom([1/6, 1/3],[7/6],-b*x^6/a)/(b*x^6+a)^(1/3),1],
[1/x^2/(b*x^6+a)^(1/3),x,2,-(1+b*x^6/a)^(1/3)*hypergeom([-1/6, 1/3],[5/6],-b*x^6/a)/x/(b*x^6+a)^(1/3),1],
[1/x^6/(b*x^6+a)^(1/3),x,2,-1/5*(1+b*x^6/a)^(1/3)*hypergeom([-5/6, 1/3],[1/6],-b*x^6/a)/x^5/(b*x^6+a)^(1/3),1],
[x^8/(b*x^6+a)^(2/3),x,4,1/5*x^3*(b*x^6+a)^(1/3)/b+1/5*3^(3/4)*sqrt(2-sqrt(3))*a*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[x^2/(b*x^6+a)^(2/3),x,3,-1/3*sqrt(2-sqrt(3))*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))*3^(3/4)/b/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[1/x^4/(b*x^6+a)^(2/3),x,4,-1/3*(b*x^6+a)^(1/3)/a/x^3+1/9*sqrt(2-sqrt(3))*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))*3^(3/4)/a/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[x^6/(b*x^6+a)^(2/3),x,3,1/3*x*(b*x^6+a)^(1/3)/b-1/18*x*(b*x^6+a)^(1/3)*(1-b^(1/3)*x^2/(b*x^6+a)^(1/3))*sqrt((1+b^(2/3)*x^4/(b*x^6+a)^(2/3)+b^(1/3)*x^2/(b*x^6+a)^(1/3))/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arccos((1-(1-sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))*3^(3/4)/b/sqrt(-b^(1/3)*x^2*(1-b^(1/3)*x^2/(b*x^6+a)^(1/3))/(b*x^6+a)^(1/3)/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))^2),1],
[1/(b*x^6+a)^(2/3),x,2,1/6*x*(b*x^6+a)^(1/3)*(1-b^(1/3)*x^2/(b*x^6+a)^(1/3))*sqrt((1+b^(2/3)*x^4/(b*x^6+a)^(2/3)+b^(1/3)*x^2/(b*x^6+a)^(1/3))/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arccos((1-(1-sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))*3^(3/4)/a/sqrt(-b^(1/3)*x^2*(1-b^(1/3)*x^2/(b*x^6+a)^(1/3))/(b*x^6+a)^(1/3)/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))^2),1],
[1/x^6/(b*x^6+a)^(2/3),x,3,-1/5*(b*x^6+a)^(1/3)/a/x^5-1/10*3^(3/4)*b*x*(b*x^6+a)^(1/3)*(1-b^(1/3)*x^2/(b*x^6+a)^(1/3))*sqrt((1+b^(2/3)*x^4/(b*x^6+a)^(2/3)+b^(1/3)*x^2/(b*x^6+a)^(1/3))/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arccos((1-(1-sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))/a^2/sqrt(-b^(1/3)*x^2*(1-b^(1/3)*x^2/(b*x^6+a)^(1/3))/(b*x^6+a)^(1/3)/(1-(1+sqrt(3))*b^(1/3)*x^2/(b*x^6+a)^(1/3))^2),1],
[x^4/(b*x^6+a)^(2/3),x,2,1/5*x^5*(1+b*x^6/a)^(2/3)*hypergeom([2/3, 5/6],[11/6],-b*x^6/a)/(b*x^6+a)^(2/3),1],
[1/x^2/(b*x^6+a)^(2/3),x,2,-(1+b*x^6/a)^(2/3)*hypergeom([-1/6, 2/3],[5/6],-b*x^6/a)/x/(b*x^6+a)^(2/3),1],
[1/x^8/(b*x^6+a)^(2/3),x,2,-1/7*(1+b*x^6/a)^(2/3)*hypergeom([-7/6, 2/3],[-1/6],-b*x^6/a)/x^7/(b*x^6+a)^(2/3),1],
[x^8/(b*x^6+a)^(4/3),x,6,-1/2*x^3/b/(b*x^6+a)^(1/3)-3/2*x^3/b/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))+3/4*3^(1/4)*sqrt(2+sqrt(3))*a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)-3^(3/4)*a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b^2/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[x^2/(b*x^6+a)^(4/3),x,6,1/2*x^3/a/(b*x^6+a)^(1/3)+1/2*x^3/a/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))-1/4*3^(1/4)*sqrt(2+sqrt(3))*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3)))),sqrt(-7+4*sqrt(3)))/a^(2/3)/b/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)+1/3*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)*3^(3/4)/a^(2/3)/b/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[1/x^4/(b*x^6+a)^(4/3),x,7,1/2/a/x^3/(b*x^6+a)^(1/3)-5/6*(b*x^6+a)^(2/3)/a^2/x^3-5/6*b*x^3/a^2/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))+5/12*sqrt(2+sqrt(3))*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3)))),sqrt(-7+4*sqrt(3)))*3^(1/4)/a^(5/3)/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)-5/9*(a^(1/3)-(b*x^6+a)^(1/3))*sqrt((a^(2/3)+a^(1/3)*(b*x^6+a)^(1/3)+(b*x^6+a)^(2/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)*3^(3/4)/a^(5/3)/x^3/sqrt(-a^(1/3)*(a^(1/3)-(b*x^6+a)^(1/3))/((1-sqrt(3))*a^(1/3)-(b*x^6+a)^(1/3))^2),1],
[x^6/(b*x^6+a)^(4/3),x,2,1/7*x^7*(1+b*x^6/a)^(1/3)*hypergeom([7/6, 4/3],[13/6],-b*x^6/a)/a/(b*x^6+a)^(1/3),1],
[x^4/(b*x^6+a)^(4/3),x,2,1/5*x^5*(1+b*x^6/a)^(1/3)*hypergeom([5/6, 4/3],[11/6],-b*x^6/a)/a/(b*x^6+a)^(1/3),1],
[1/(b*x^6+a)^(4/3),x,2,x*(1+b*x^6/a)^(1/3)*hypergeom([1/6, 4/3],[7/6],-b*x^6/a)/a/(b*x^6+a)^(1/3),1],
[1/x^2/(b*x^6+a)^(4/3),x,2,-(1+b*x^6/a)^(1/3)*hypergeom([-1/6, 4/3],[5/6],-b*x^6/a)/a/x/(b*x^6+a)^(1/3),1],
[1/x^6/(b*x^6+a)^(4/3),x,2,-1/5*(1+b*x^6/a)^(1/3)*hypergeom([-5/6, 4/3],[1/6],-b*x^6/a)/a/x^5/(b*x^6+a)^(1/3),1],
[x^8*(b*x^7+a),x,2,1/9*a*x^9+1/16*b*x^16,1],
[(b*x^7+a)/x^8,x,3,-1/7*a/x^7+b*ln(x),1],
[x^8*(b*x^7+a)^2,x,2,1/9*a^2*x^9+1/8*a*b*x^16+1/23*b^2*x^23,1],
[(b*x^7+a)^2/x^8,x,3,-1/7*a^2/x^7+1/7*b^2*x^7+2*a*b*ln(x),1],
[x^6/(b*x^7+a),x,1,1/7*ln(b*x^7+a)/b,1],
[1/(b*x^7+a),x,6,2/7*arctan(b^(1/7)*x*sec(1/14*Pi)/a^(1/7)-tan(1/14*Pi))*cos(1/14*Pi)/a^(6/7)/b^(1/7)+2/7*arctan(b^(1/7)*x*sec(3/14*Pi)/a^(1/7)+tan(3/14*Pi))*cos(3/14*Pi)/a^(6/7)/b^(1/7)+1/7*ln(a^(1/7)+b^(1/7)*x)/a^(6/7)/b^(1/7)-1/7*cos(1/7*Pi)*ln(a^(2/7)+b^(2/7)*x^2-2*a^(1/7)*b^(1/7)*x*cos(1/7*Pi))/a^(6/7)/b^(1/7)-1/7*ln(a^(2/7)+b^(2/7)*x^2-2*a^(1/7)*b^(1/7)*x*sin(1/14*Pi))*sin(1/14*Pi)/a^(6/7)/b^(1/7)-2/7*arctan(cot(1/7*Pi)-b^(1/7)*x*csc(1/7*Pi)/a^(1/7))*sin(1/7*Pi)/a^(6/7)/b^(1/7)+1/7*ln(a^(2/7)+b^(2/7)*x^2+2*a^(1/7)*b^(1/7)*x*sin(3/14*Pi))*sin(3/14*Pi)/a^(6/7)/b^(1/7),1],
[1/x/(b*x^7+a),x,3,ln(x)/a-1/7*ln(b*x^7+a)/a,1],
[x^6/(-b*x^7+a),x,1,-1/7*ln(-b*x^7+a)/b,1],
[1/(-b*x^7+a),x,6,2/7*arctan(b^(1/7)*x*sec(1/14*Pi)/a^(1/7)+tan(1/14*Pi))*cos(1/14*Pi)/a^(6/7)/b^(1/7)+2/7*arctan(b^(1/7)*x*sec(3/14*Pi)/a^(1/7)-tan(3/14*Pi))*cos(3/14*Pi)/a^(6/7)/b^(1/7)-1/7*ln(a^(1/7)-b^(1/7)*x)/a^(6/7)/b^(1/7)+1/7*cos(1/7*Pi)*ln(a^(2/7)+b^(2/7)*x^2+2*a^(1/7)*b^(1/7)*x*cos(1/7*Pi))/a^(6/7)/b^(1/7)+1/7*ln(a^(2/7)+b^(2/7)*x^2+2*a^(1/7)*b^(1/7)*x*sin(1/14*Pi))*sin(1/14*Pi)/a^(6/7)/b^(1/7)+2/7*arctan(cot(1/7*Pi)+b^(1/7)*x*csc(1/7*Pi)/a^(1/7))*sin(1/7*Pi)/a^(6/7)/b^(1/7)-1/7*ln(a^(2/7)+b^(2/7)*x^2-2*a^(1/7)*b^(1/7)*x*sin(3/14*Pi))*sin(3/14*Pi)/a^(6/7)/b^(1/7),1],
[1/x/(-b*x^7+a),x,3,ln(x)/a-1/7*ln(-b*x^7+a)/a,1],
[x^m*(b*x^7+a)^2,x,2,a^2*x^(1+m)/(1+m)+2*a*b*x^(8+m)/(8+m)+b^2*x^(15+m)/(15+m),1],
[x^m*(b*x^7+a),x,2,a*x^(1+m)/(1+m)+b*x^(8+m)/(8+m),1],
[x^m/(b*x^7+a),x,1,x^(1+m)*hypergeom([1, 1/7+1/7*m],[8/7+1/7*m],-b*x^7/a)/a/(1+m),1],
[x^m/(b*x^7+a)^2,x,1,x^(1+m)*hypergeom([2, 1/7+1/7*m],[8/7+1/7*m],-b*x^7/a)/a^2/(1+m),1],
[x^m*(-b*x^7+a),x,2,a*x^(1+m)/(1+m)-b*x^(8+m)/(8+m),1],
[x^m/(-b*x^7+a),x,1,x^(1+m)*hypergeom([1, 1/7+1/7*m],[8/7+1/7*m],b*x^7/a)/a/(1+m),1],
[x^19/(b*x^8+a),x,4,-1/4*a*x^4/b^2+1/12*x^12/b+1/4*a^(3/2)*arctan(sqrt(b)*x^4/sqrt(a))/b^(5/2),1],
[x^15/(b*x^8+a),x,3,1/8*x^8/b-1/8*a*ln(b*x^8+a)/b^2,1],
[x^11/(b*x^8+a),x,3,1/4*x^4/b-1/4*sqrt(a)*arctan(sqrt(b)*x^4/sqrt(a))/b^(3/2),1],
[x^7/(b*x^8+a),x,1,1/8*ln(b*x^8+a)/b,1],
[x^3/(b*x^8+a),x,2,1/4*arctan(sqrt(b)*x^4/sqrt(a))/sqrt(a)/sqrt(b),1],
[1/x/(b*x^8+a),x,3,ln(x)/a-1/8*ln(b*x^8+a)/a,1],
[1/x^5/(b*x^8+a),x,3,-1/4/a/x^4-1/4*sqrt(b)*arctan(sqrt(b)*x^4/sqrt(a))/a^(3/2),1],
[1/x^9/(b*x^8+a),x,3,-1/8/a/x^8-b*ln(x)/a^2+1/8*b*ln(b*x^8+a)/a^2,1],
[x^13/(b*x^8+a),x,10,1/6*x^6/b+1/4*a^(3/4)*arctan(1-sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/b^(7/4)-1/4*a^(3/4)*arctan(1+sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/b^(7/4)+1/4*a^(3/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x^2/(sqrt(a)+sqrt(b)*x^4))/sqrt(2)/b^(7/4),1],
[x^9/(b*x^8+a),x,10,1/2*x^2/b+1/4*a^(1/4)*arctan(1-sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/b^(5/4)-1/4*a^(1/4)*arctan(1+sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/b^(5/4)-1/4*a^(1/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x^2/(sqrt(a)+sqrt(b)*x^4))/sqrt(2)/b^(5/4),1],
[x^5/(b*x^8+a),x,9,-1/4*arctan(1-sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(1/4)/b^(3/4)+1/4*arctan(1+sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(1/4)/b^(3/4)-1/4*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x^2/(sqrt(a)+sqrt(b)*x^4))/sqrt(2)/a^(1/4)/b^(3/4),1],
[x/(b*x^8+a),x,9,-1/4*arctan(1-sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(3/4)/b^(1/4)+1/4*arctan(1+sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(3/4)/b^(1/4)+1/4*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x^2/(sqrt(a)+sqrt(b)*x^4))/sqrt(2)/a^(3/4)/b^(1/4),1],
[1/x^3/(b*x^8+a),x,10,-1/2/a/x^2+1/4*b^(1/4)*arctan(1-sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(5/4)-1/4*b^(1/4)*arctan(1+sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(5/4)+1/4*b^(1/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x^2/(sqrt(a)+sqrt(b)*x^4))/sqrt(2)/a^(5/4),1],
[1/x^7/(b*x^8+a),x,10,-1/6/a/x^6+1/4*b^(3/4)*arctan(1-sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(7/4)-1/4*b^(3/4)*arctan(1+sqrt(2)*b^(1/4)*x^2/a^(1/4))/sqrt(2)/a^(7/4)-1/4*b^(3/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x^2/(sqrt(a)+sqrt(b)*x^4))/sqrt(2)/a^(7/4),1],
[x^10/(b*x^8+a),x,13,1/3*x^3/b+1/4*(-a)^(3/8)*arctan(b^(1/8)*x/(-a)^(1/8))/b^(11/8)+1/4*(-a)^(3/8)*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/b^(11/8)-1/4*(-a)^(3/8)*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/b^(11/8)-1/4*(-a)^(3/8)*arctanh(b^(1/8)*x/(-a)^(1/8))/b^(11/8)+1/4*(-a)^(3/8)*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/b^(11/8),1],
[x^8/(b*x^8+a),x,13,x/b-1/4*(-a)^(1/8)*arctan(b^(1/8)*x/(-a)^(1/8))/b^(9/8)+1/4*(-a)^(1/8)*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/b^(9/8)-1/4*(-a)^(1/8)*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/b^(9/8)-1/4*(-a)^(1/8)*arctanh(b^(1/8)*x/(-a)^(1/8))/b^(9/8)-1/4*(-a)^(1/8)*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/b^(9/8),1],
[x^6/(b*x^8+a),x,12,1/4*arctan(b^(1/8)*x/(-a)^(1/8))/(-a)^(1/8)/b^(7/8)-1/4*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(1/8)/b^(7/8)+1/4*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(1/8)/b^(7/8)-1/4*arctanh(b^(1/8)*x/(-a)^(1/8))/(-a)^(1/8)/b^(7/8)-1/4*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/(-a)^(1/8)/b^(7/8),1],
[x^4/(b*x^8+a),x,12,-1/4*arctan(b^(1/8)*x/(-a)^(1/8))/(-a)^(3/8)/b^(5/8)-1/4*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(3/8)/b^(5/8)+1/4*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(3/8)/b^(5/8)-1/4*arctanh(b^(1/8)*x/(-a)^(1/8))/(-a)^(3/8)/b^(5/8)+1/4*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/(-a)^(3/8)/b^(5/8),1],
[x^2/(b*x^8+a),x,12,1/4*arctan(b^(1/8)*x/(-a)^(1/8))/(-a)^(5/8)/b^(3/8)+1/4*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(5/8)/b^(3/8)-1/4*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(5/8)/b^(3/8)-1/4*arctanh(b^(1/8)*x/(-a)^(1/8))/(-a)^(5/8)/b^(3/8)+1/4*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/(-a)^(5/8)/b^(3/8),1],
[1/(b*x^8+a),x,12,-1/4*arctan(b^(1/8)*x/(-a)^(1/8))/(-a)^(7/8)/b^(1/8)+1/4*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(7/8)/b^(1/8)-1/4*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(7/8)/b^(1/8)-1/4*arctanh(b^(1/8)*x/(-a)^(1/8))/(-a)^(7/8)/b^(1/8)-1/4*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/(-a)^(7/8)/b^(1/8),1],
[1/x^2/(b*x^8+a),x,13,-1/a/x+1/4*b^(1/8)*arctan(b^(1/8)*x/(-a)^(1/8))/(-a)^(9/8)-1/4*b^(1/8)*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(9/8)+1/4*b^(1/8)*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(9/8)-1/4*b^(1/8)*arctanh(b^(1/8)*x/(-a)^(1/8))/(-a)^(9/8)-1/4*b^(1/8)*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/(-a)^(9/8),1],
[1/x^4/(b*x^8+a),x,13,-1/3/a/x^3-1/4*b^(3/8)*arctan(b^(1/8)*x/(-a)^(1/8))/(-a)^(11/8)-1/4*b^(3/8)*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(11/8)+1/4*b^(3/8)*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(11/8)-1/4*b^(3/8)*arctanh(b^(1/8)*x/(-a)^(1/8))/(-a)^(11/8)+1/4*b^(3/8)*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/(-a)^(11/8),1],
[1/x^6/(b*x^8+a),x,13,-1/5/a/x^5+1/4*b^(5/8)*arctan(b^(1/8)*x/(-a)^(1/8))/(-a)^(13/8)+1/4*b^(5/8)*arctan(1-sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(13/8)-1/4*b^(5/8)*arctan(1+sqrt(2)*b^(1/8)*x/(-a)^(1/8))/sqrt(2)/(-a)^(13/8)-1/4*b^(5/8)*arctanh(b^(1/8)*x/(-a)^(1/8))/(-a)^(13/8)+1/4*b^(5/8)*arctanh(sqrt(2)*(-a)^(1/8)*b^(1/8)*x/((-a)^(1/4)+b^(1/4)*x^2))/sqrt(2)/(-a)^(13/8),1],
[x^9/(-x^8+1),x,5,-1/2*x^2+1/4*arctan(x^2)+1/4*arctanh(x^2),1],
[x^7/(-x^8+1),x,1,-1/8*ln(-x^8+1),1],
[x^5/(-x^8+1),x,4,-1/4*arctan(x^2)+1/4*arctanh(x^2),1],
[x^3/(-x^8+1),x,2,1/4*arctanh(x^4),1],
[x/(-x^8+1),x,4,1/4*arctan(x^2)+1/4*arctanh(x^2),1],
[1/x/(-x^8+1),x,3,ln(x)-1/8*ln(-x^8+1),1],
[1/x^3/(-x^8+1),x,5,-1/2/x^2-1/4*arctan(x^2)+1/4*arctanh(x^2),1],
[1/x^5/(-x^8+1),x,3,-1/4/x^4+1/4*arctanh(x^4),1],
[1/x^7/(-x^8+1),x,5,-1/6/x^6+1/4*arctan(x^2)+1/4*arctanh(x^2),1],
[1/x^9/(-x^8+1),x,3,-1/8/x^8+ln(x)-1/8*ln(-x^8+1),1],
[x^8/(-x^8+1),x,13,-x+1/4*arctan(x)-1/4*arctan(1-sqrt(2)*x)/sqrt(2)+1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)+1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^6/(-x^8+1),x,12,-1/4*arctan(x)+1/4*arctan(1-sqrt(2)*x)/sqrt(2)-1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)+1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^4/(-x^8+1),x,12,1/4*arctan(x)+1/4*arctan(1-sqrt(2)*x)/sqrt(2)-1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)-1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^2/(-x^8+1),x,12,-1/4*arctan(x)-1/4*arctan(1-sqrt(2)*x)/sqrt(2)+1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)-1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/(-x^8+1),x,12,1/4*arctan(x)-1/4*arctan(1-sqrt(2)*x)/sqrt(2)+1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)+1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/x^2/(-x^8+1),x,13,-1/x-1/4*arctan(x)+1/4*arctan(1-sqrt(2)*x)/sqrt(2)-1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)+1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/x^4/(-x^8+1),x,13,-1/3/x^3+1/4*arctan(x)+1/4*arctan(1-sqrt(2)*x)/sqrt(2)-1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)-1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/x^6/(-x^8+1),x,13,-1/5/x^5-1/4*arctan(x)-1/4*arctan(1-sqrt(2)*x)/sqrt(2)+1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)-1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/x^8/(-x^8+1),x,13,-1/7/x^7+1/4*arctan(x)-1/4*arctan(1-sqrt(2)*x)/sqrt(2)+1/4*arctan(1+sqrt(2)*x)/sqrt(2)+1/4*arctanh(x)+1/4*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^9/(x^8+1),x,10,1/2*x^2+1/4*arctan(1-sqrt(2)*x^2)/sqrt(2)-1/4*arctan(1+sqrt(2)*x^2)/sqrt(2)-1/4*arctanh(sqrt(2)*x^2/(x^4+1))/sqrt(2),1],
[x^7/(x^8+1),x,1,1/8*ln(x^8+1),1],
[x^5/(x^8+1),x,9,-1/4*arctan(1-sqrt(2)*x^2)/sqrt(2)+1/4*arctan(1+sqrt(2)*x^2)/sqrt(2)-1/4*arctanh(sqrt(2)*x^2/(x^4+1))/sqrt(2),1],
[x^3/(x^8+1),x,2,1/4*arctan(x^4),1],
[x/(x^8+1),x,9,-1/4*arctan(1-sqrt(2)*x^2)/sqrt(2)+1/4*arctan(1+sqrt(2)*x^2)/sqrt(2)+1/4*arctanh(sqrt(2)*x^2/(x^4+1))/sqrt(2),1],
[1/x/(x^8+1),x,3,ln(x)-1/8*ln(x^8+1),1],
[1/x^3/(x^8+1),x,10,-1/2/x^2+1/4*arctan(1-sqrt(2)*x^2)/sqrt(2)-1/4*arctan(1+sqrt(2)*x^2)/sqrt(2)+1/4*arctanh(sqrt(2)*x^2/(x^4+1))/sqrt(2),1],
[1/x^5/(x^8+1),x,3,-1/4/x^4-1/4*arctan(x^4),1],
[1/x^7/(x^8+1),x,10,-1/6/x^6+1/4*arctan(1-sqrt(2)*x^2)/sqrt(2)-1/4*arctan(1+sqrt(2)*x^2)/sqrt(2)-1/4*arctanh(sqrt(2)*x^2/(x^4+1))/sqrt(2),1],
[1/x^9/(x^8+1),x,3,-1/8/x^8-ln(x)+1/8*ln(x^8+1),1],
[x^8/(x^8+1),x,18,x+1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))+1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))-1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))-1/8*sqrt(2+sqrt(2))*arctanh(sqrt(2+sqrt(2))*x/(x^2+1)),1],
[x^6/(x^8+1),x,21,-1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))+1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))+1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))-1/8*sqrt(2+sqrt(2))*arctanh(sqrt(2+sqrt(2))*x/(x^2+1)),1],
[x^4/(x^8+1),x,17,1/4*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))-1/4*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))-1/4*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))+1/4*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))+1/4*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))/sqrt(4-2*sqrt(2))-1/4*arctanh(sqrt(2+sqrt(2))*x/(x^2+1))/sqrt(4+2*sqrt(2)),1],
[x^2/(x^8+1),x,17,1/4*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))-1/4*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))-1/4*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))+1/4*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))-1/4*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))/sqrt(4-2*sqrt(2))+1/4*arctanh(sqrt(2+sqrt(2))*x/(x^2+1))/sqrt(4+2*sqrt(2)),1],
[1/(x^8+1),x,17,-1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))+1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))+1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))+1/8*sqrt(2-sqrt(2))*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))+1/8*sqrt(2+sqrt(2))*arctanh(sqrt(2+sqrt(2))*x/(x^2+1)),1],
[1/x^2/(x^8+1),x,22,-1/x+1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))+1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))-1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))+1/8*sqrt(2-sqrt(2))*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))+1/8*sqrt(2+sqrt(2))*arctanh(sqrt(2+sqrt(2))*x/(x^2+1)),1],
[1/x^4/(x^8+1),x,18,-1/3/x^3-1/4*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))+1/4*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))+1/4*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))-1/4*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))-1/4*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))/sqrt(4-2*sqrt(2))+1/4*arctanh(sqrt(2+sqrt(2))*x/(x^2+1))/sqrt(4+2*sqrt(2)),1],
[1/x^6/(x^8+1),x,18,-1/5/x^5-1/4*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))+1/4*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))+1/4*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))/sqrt(4+2*sqrt(2))-1/4*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))/sqrt(4-2*sqrt(2))+1/4*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))/sqrt(4-2*sqrt(2))-1/4*arctanh(sqrt(2+sqrt(2))*x/(x^2+1))/sqrt(4+2*sqrt(2)),1],
[1/x^8/(x^8+1),x,18,-1/7/x^7+1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))-2*x)/sqrt(2+sqrt(2)))+1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))-2*x)/sqrt(2-sqrt(2)))-1/8*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))+2*x)/sqrt(2+sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))+2*x)/sqrt(2-sqrt(2)))-1/8*sqrt(2-sqrt(2))*arctanh(sqrt(2-sqrt(2))*x/(x^2+1))-1/8*sqrt(2+sqrt(2))*arctanh(sqrt(2+sqrt(2))*x/(x^2+1)),1],
[x^31*sqrt(b*x^8+a),x,3,-1/12*a^3*(b*x^8+a)^(3/2)/b^4+3/20*a^2*(b*x^8+a)^(5/2)/b^4-3/28*a*(b*x^8+a)^(7/2)/b^4+1/36*(b*x^8+a)^(9/2)/b^4,1],
[x^23*sqrt(b*x^8+a),x,3,1/12*a^2*(b*x^8+a)^(3/2)/b^3-1/10*a*(b*x^8+a)^(5/2)/b^3+1/28*(b*x^8+a)^(7/2)/b^3,1],
[x^15*sqrt(b*x^8+a),x,3,-1/12*a*(b*x^8+a)^(3/2)/b^2+1/20*(b*x^8+a)^(5/2)/b^2,1],
[x^7*sqrt(b*x^8+a),x,1,1/12*(b*x^8+a)^(3/2)/b,1],
[sqrt(b*x^8+a)/x,x,4,1/4*sqrt(b*x^8+a)-1/4*sqrt(a)*arctanh(sqrt(b*x^8+a)/sqrt(a)),1],
[sqrt(b*x^8+a)/x^9,x,4,-1/8*sqrt(b*x^8+a)/x^8-1/8*b*arctanh(sqrt(b*x^8+a)/sqrt(a))/sqrt(a),1],
[sqrt(b*x^8+a)/x^17,x,5,-1/16*sqrt(b*x^8+a)/x^16-1/32*b*sqrt(b*x^8+a)/a/x^8+1/32*b^2*arctanh(sqrt(b*x^8+a)/sqrt(a))/a^(3/2),1],
[x^19*sqrt(b*x^8+a),x,6,-1/64*a^2*x^4*sqrt(b*x^8+a)/b^2+1/96*a*x^12*sqrt(b*x^8+a)/b+1/24*x^20*sqrt(b*x^8+a)+1/64*a^3*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(5/2),1],
[x^11*sqrt(b*x^8+a),x,5,1/32*a*x^4*sqrt(b*x^8+a)/b+1/16*x^12*sqrt(b*x^8+a)-1/32*a^2*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(3/2),1],
[x^3*sqrt(b*x^8+a),x,4,1/8*x^4*sqrt(b*x^8+a)+1/8*a*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/sqrt(b),1],
[sqrt(b*x^8+a)/x^5,x,4,-1/4*sqrt(b*x^8+a)/x^4+1/4*sqrt(b)*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a)),1],
[sqrt(b*x^8+a)/x^13,x,1,-1/12*(b*x^8+a)^(3/2)/a/x^12,1],
[sqrt(b*x^8+a)/x^21,x,2,-1/20*(b*x^8+a)^(3/2)/a/x^20+1/30*b*(b*x^8+a)^(3/2)/a^2/x^12,1],
[sqrt(b*x^8+a)/x^29,x,3,-1/28*(b*x^8+a)^(3/2)/a/x^28+1/35*b*(b*x^8+a)^(3/2)/a^2/x^20-2/105*b^2*(b*x^8+a)^(3/2)/a^3/x^12,1],
[sqrt(b*x^8+a)/x^37,x,4,-1/36*(b*x^8+a)^(3/2)/a/x^36+1/42*b*(b*x^8+a)^(3/2)/a^2/x^28-2/105*b^2*(b*x^8+a)^(3/2)/a^3/x^20+4/315*b^3*(b*x^8+a)^(3/2)/a^4/x^12,1],
[x^25*sqrt(b*x^8+a),x,6,1/77*a^3*x^2*sqrt(b*x^8+a)/b^3-3/385*a^2*x^10*sqrt(b*x^8+a)/b^2+1/165*a*x^18*sqrt(b*x^8+a)/b+1/30*x^26*sqrt(b*x^8+a)-1/154*a^(15/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(13/4)/sqrt(b*x^8+a),1],
[x^17*sqrt(b*x^8+a),x,5,-5/231*a^2*x^2*sqrt(b*x^8+a)/b^2+1/77*a*x^10*sqrt(b*x^8+a)/b+1/22*x^18*sqrt(b*x^8+a)+5/462*a^(11/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(b*x^8+a),1],
[x^9*sqrt(b*x^8+a),x,4,1/21*a*x^2*sqrt(b*x^8+a)/b+1/14*x^10*sqrt(b*x^8+a)-1/42*a^(7/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(5/4)/sqrt(b*x^8+a),1],
[x*sqrt(b*x^8+a),x,3,1/6*x^2*sqrt(b*x^8+a)+1/6*a^(3/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(1/4)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^7,x,3,-1/6*sqrt(b*x^8+a)/x^6+1/6*b^(3/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(1/4)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^15,x,4,-1/14*sqrt(b*x^8+a)/x^14-1/21*b*sqrt(b*x^8+a)/a/x^6-1/42*b^(7/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(5/4)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^23,x,5,-1/22*sqrt(b*x^8+a)/x^22-1/77*b*sqrt(b*x^8+a)/a/x^14+5/231*b^2*sqrt(b*x^8+a)/a^2/x^6+5/462*b^(11/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(9/4)/sqrt(b*x^8+a),1],
[x^29*sqrt(b*x^8+a),x,9,77/9945*a^3*x^6*sqrt(b*x^8+a)/b^3-11/1989*a^2*x^14*sqrt(b*x^8+a)/b^2+1/221*a*x^22*sqrt(b*x^8+a)/b+1/34*x^30*sqrt(b*x^8+a)-77/3315*a^4*x^2*sqrt(b*x^8+a)/b^(7/2)/(sqrt(a)+sqrt(b)*x^4)+77/3315*a^(17/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(15/4)/sqrt(b*x^8+a)-77/6630*a^(17/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(15/4)/sqrt(b*x^8+a),1],
[x^21*sqrt(b*x^8+a),x,8,-7/585*a^2*x^6*sqrt(b*x^8+a)/b^2+1/117*a*x^14*sqrt(b*x^8+a)/b+1/26*x^22*sqrt(b*x^8+a)+7/195*a^3*x^2*sqrt(b*x^8+a)/b^(5/2)/(sqrt(a)+sqrt(b)*x^4)-7/195*a^(13/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(11/4)/sqrt(b*x^8+a)+7/390*a^(13/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(11/4)/sqrt(b*x^8+a),1],
[x^13*sqrt(b*x^8+a),x,7,1/45*a*x^6*sqrt(b*x^8+a)/b+1/18*x^14*sqrt(b*x^8+a)-1/15*a^2*x^2*sqrt(b*x^8+a)/b^(3/2)/(sqrt(a)+sqrt(b)*x^4)+1/15*a^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(b*x^8+a)-1/30*a^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(b*x^8+a),1],
[x^5*sqrt(b*x^8+a),x,6,1/10*x^6*sqrt(b*x^8+a)+1/5*a*x^2*sqrt(b*x^8+a)/sqrt(b)/(sqrt(a)+sqrt(b)*x^4)-1/5*a^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(3/4)/sqrt(b*x^8+a)+1/10*a^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(3/4)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^3,x,6,-1/2*sqrt(b*x^8+a)/x^2+sqrt(b)*x^2*sqrt(b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)-a^(1/4)*b^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/sqrt(b*x^8+a)+1/2*a^(1/4)*b^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^11,x,7,-1/10*sqrt(b*x^8+a)/x^10-1/5*b*sqrt(b*x^8+a)/a/x^2+1/5*b^(3/2)*x^2*sqrt(b*x^8+a)/a/(sqrt(a)+sqrt(b)*x^4)-1/5*b^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(3/4)/sqrt(b*x^8+a)+1/10*b^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(3/4)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^19,x,8,-1/18*sqrt(b*x^8+a)/x^18-1/45*b*sqrt(b*x^8+a)/a/x^10+1/15*b^2*sqrt(b*x^8+a)/a^2/x^2-1/15*b^(5/2)*x^2*sqrt(b*x^8+a)/a^2/(sqrt(a)+sqrt(b)*x^4)+1/15*b^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(7/4)/sqrt(b*x^8+a)-1/30*b^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(7/4)/sqrt(b*x^8+a),1],
[x^24*sqrt(b*x^8+a),x,7,204/13195*a^3*x*sqrt(b*x^8+a)/b^3-68/7917*a^2*x^9*sqrt(b*x^8+a)/b^2+4/609*a*x^17*sqrt(b*x^8+a)/b+1/29*x^25*sqrt(b*x^8+a)-102/13195*a^4*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(11/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+102/13195*a^4*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(11/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^16*sqrt(b*x^8+a),x,6,-12/455*a^2*x*sqrt(b*x^8+a)/b^2+4/273*a*x^9*sqrt(b*x^8+a)/b+1/21*x^17*sqrt(b*x^8+a)+6/455*a^3*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(7/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-6/455*a^3*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(7/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^8*sqrt(b*x^8+a),x,5,4/65*a*x*sqrt(b*x^8+a)/b+1/13*x^9*sqrt(b*x^8+a)-2/65*a^2*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/65*a^2*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a),x,4,1/5*x*sqrt(b*x^8+a)+2/5*a*b^(1/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/5*a*b^(1/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^8,x,4,-1/7*sqrt(b*x^8+a)/x^7+2/7*b^(5/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/7*b^(5/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^16,x,5,-1/15*sqrt(b*x^8+a)/x^15-4/105*b*sqrt(b*x^8+a)/a/x^7-2/35*b^(9/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/35*b^(9/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^24,x,6,-1/23*sqrt(b*x^8+a)/x^23-4/345*b*sqrt(b*x^8+a)/a/x^15+44/2415*b^2*sqrt(b*x^8+a)/a^2/x^7+22/805*b^(13/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^2/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-22/805*b^(13/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^2/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^26*sqrt(b*x^8+a),x,7,836/74865*a^3*x^3*sqrt(b*x^8+a)/b^3-76/10695*a^2*x^11*sqrt(b*x^8+a)/b^2+4/713*a*x^19*sqrt(b*x^8+a)/b+1/31*x^27*sqrt(b*x^8+a)+418/24955*a^(17/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^3/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+418/24955*a^(17/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^3/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^18*sqrt(b*x^8+a),x,6,-44/2415*a^2*x^3*sqrt(b*x^8+a)/b^2+4/345*a*x^11*sqrt(b*x^8+a)/b+1/23*x^19*sqrt(b*x^8+a)-22/805*a^(13/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^2/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-22/805*a^(13/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^2/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^10*sqrt(b*x^8+a),x,5,4/105*a*x^3*sqrt(b*x^8+a)/b+1/15*x^11*sqrt(b*x^8+a)+2/35*a^(9/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/35*a^(9/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^2*sqrt(b*x^8+a),x,4,1/7*x^3*sqrt(b*x^8+a)-2/7*a^(5/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/7*a^(5/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^6,x,4,-1/5*sqrt(b*x^8+a)/x^5-2/5*a^(1/4)*b*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/5*a^(1/4)*b*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^14,x,5,-1/13*sqrt(b*x^8+a)/x^13-4/65*b*sqrt(b*x^8+a)/a/x^5+2/65*b^2*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/65*b^2*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^22,x,6,-1/21*sqrt(b*x^8+a)/x^21-4/273*b*sqrt(b*x^8+a)/a/x^13+12/455*b^2*sqrt(b*x^8+a)/a^2/x^5-6/455*b^3*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-6/455*b^3*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^20*sqrt(b*x^8+a),x,8,-52/3825*a^2*x^5*sqrt(b*x^8+a)/b^2+4/425*a*x^13*sqrt(b*x^8+a)/b+1/25*x^21*sqrt(b*x^8+a)-26/765*sqrt(2+sqrt(2))*a^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+26/765*sqrt(2+sqrt(2))*a^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+26/765*a^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-26/765*a^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^12*sqrt(b*x^8+a),x,7,4/153*a*x^5*sqrt(b*x^8+a)/b+1/17*x^13*sqrt(b*x^8+a)+10/153*sqrt(2+sqrt(2))*a^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-10/153*sqrt(2+sqrt(2))*a^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-10/153*a^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+10/153*a^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^4*sqrt(b*x^8+a),x,6,1/9*x^5*sqrt(b*x^8+a)-2/9*sqrt(2+sqrt(2))*a^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/9*sqrt(2+sqrt(2))*a^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+2/9*a^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/9*a^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^4,x,6,-1/3*sqrt(b*x^8+a)/x^3-2/3*sqrt(2+sqrt(2))*sqrt(a)*b^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/3*sqrt(2+sqrt(2))*sqrt(a)*b^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+2/3*sqrt(a)*b^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/3*sqrt(a)*b^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^12,x,7,-1/11*sqrt(b*x^8+a)/x^11-4/33*b*sqrt(b*x^8+a)/a/x^3-2/33*sqrt(2+sqrt(2))*b^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(a)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/33*sqrt(2+sqrt(2))*b^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(a)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+2/33*b^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(a)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/33*b^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(a)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^20,x,8,-1/19*sqrt(b*x^8+a)/x^19-4/209*b*sqrt(b*x^8+a)/a/x^11+28/627*b^2*sqrt(b*x^8+a)/a^2/x^3+14/627*sqrt(2+sqrt(2))*b^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-14/627*sqrt(2+sqrt(2))*b^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-14/627*b^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+14/627*b^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^22*sqrt(b*x^8+a),x,9,140/5643*a^3*sqrt(b*x^8+a)/b^3/x-20/1881*a^2*x^7*sqrt(b*x^8+a)/b^2+4/513*a*x^15*sqrt(b*x^8+a)/b+1/27*x^23*sqrt(b*x^8+a)+70/5643*sqrt(2+sqrt(2))*a^(15/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+70/5643*sqrt(2+sqrt(2))*a^(15/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-70/5643*a^(15/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-70/5643*a^(15/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^14*sqrt(b*x^8+a),x,8,-28/627*a^2*sqrt(b*x^8+a)/b^2/x+4/209*a*x^7*sqrt(b*x^8+a)/b+1/19*x^15*sqrt(b*x^8+a)-14/627*sqrt(2+sqrt(2))*a^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-14/627*sqrt(2+sqrt(2))*a^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+14/627*a^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+14/627*a^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^6*sqrt(b*x^8+a),x,7,4/33*a*sqrt(b*x^8+a)/b/x+1/11*x^7*sqrt(b*x^8+a)+2/33*sqrt(2+sqrt(2))*a^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(b)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/33*sqrt(2+sqrt(2))*a^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(b)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-2/33*a^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(b)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/33*a^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(b)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^2,x,7,1/3*sqrt(b*x^8+a)/x+2/3*sqrt(2+sqrt(2))*a^(3/4)*sqrt(b)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/3*sqrt(2+sqrt(2))*a^(3/4)*sqrt(b)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-2/3*a^(3/4)*sqrt(b)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/3*a^(3/4)*sqrt(b)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^10,x,6,-1/9*sqrt(b*x^8+a)/x^9+2/9*sqrt(2+sqrt(2))*b^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+2/9*sqrt(2+sqrt(2))*b^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-2/9*b^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-2/9*b^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^18,x,7,-1/17*sqrt(b*x^8+a)/x^17-4/153*b*sqrt(b*x^8+a)/a/x^9-10/153*sqrt(2+sqrt(2))*b^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-10/153*sqrt(2+sqrt(2))*b^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+10/153*b^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+10/153*b^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[sqrt(b*x^8+a)/x^26,x,8,-1/25*sqrt(b*x^8+a)/x^25-4/425*b*sqrt(b*x^8+a)/a/x^17+52/3825*b^2*sqrt(b*x^8+a)/a^2/x^9+26/765*sqrt(2+sqrt(2))*b^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+26/765*sqrt(2+sqrt(2))*b^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-26/765*b^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-26/765*b^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^3*sqrt(x^8+1),x,3,1/8*x^4*sqrt(x^8+1)+1/8*arcsinh(x^4),1],
[x*sqrt(x^8+1),x,3,1/6*x^2*sqrt(x^8+1)+1/6*(x^4+1)*sqrt((x^8+1)/(x^4+1)^2)*InverseJacobiAM(2*arctan(x^2),sqrt(1/2))/sqrt(x^8+1),1],
[sqrt(x^8+1)/x,x,4,1/4*sqrt(x^8+1)-1/4*arctanh(sqrt(x^8+1)),1],
[sqrt(x^8+1)/x^3,x,6,-1/2*sqrt(x^8+1)/x^2+x^2*sqrt(x^8+1)/(x^4+1)-(x^4+1)*sqrt((x^8+1)/(x^4+1)^2)*EllipticE(sin(2*arctan(x^2)),sqrt(1/2))/sqrt(x^8+1)+1/2*(x^4+1)*sqrt((x^8+1)/(x^4+1)^2)*InverseJacobiAM(2*arctan(x^2),sqrt(1/2))/sqrt(x^8+1),1],
[x^3*sqrt(x^8-2),x,4,1/8*x^4*sqrt(x^8-2)-1/4*arctanh(x^4/sqrt(x^8-2)),1],
[x^31/sqrt(b*x^8+a),x,3,-1/4*a^3*sqrt(b*x^8+a)/b^4+1/4*a^2*(b*x^8+a)^(3/2)/b^4-3/20*a*(b*x^8+a)^(5/2)/b^4+1/28*(b*x^8+a)^(7/2)/b^4,1],
[x^23/sqrt(b*x^8+a),x,3,1/4*a^2*sqrt(b*x^8+a)/b^3-1/6*a*(b*x^8+a)^(3/2)/b^3+1/20*(b*x^8+a)^(5/2)/b^3,1],
[x^15/sqrt(b*x^8+a),x,3,-1/4*a*sqrt(b*x^8+a)/b^2+1/12*(b*x^8+a)^(3/2)/b^2,1],
[x^7/sqrt(b*x^8+a),x,1,1/4*sqrt(b*x^8+a)/b,1],
[1/x/sqrt(b*x^8+a),x,2,-1/4*arctanh(sqrt(b*x^8+a)/sqrt(a))/sqrt(a),1],
[1/x^9/sqrt(b*x^8+a),x,4,-1/8*sqrt(b*x^8+a)/a/x^8+1/8*b*arctanh(sqrt(b*x^8+a)/sqrt(a))/a^(3/2),1],
[1/x^17/sqrt(b*x^8+a),x,5,-1/16*sqrt(b*x^8+a)/a/x^16+3/32*b*sqrt(b*x^8+a)/a^2/x^8-3/32*b^2*arctanh(sqrt(b*x^8+a)/sqrt(a))/a^(5/2),1],
[x^27/sqrt(b*x^8+a),x,6,5/64*a^2*x^4*sqrt(b*x^8+a)/b^3-5/96*a*x^12*sqrt(b*x^8+a)/b^2+1/24*x^20*sqrt(b*x^8+a)/b-5/64*a^3*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(7/2),1],
[x^19/sqrt(b*x^8+a),x,5,-3/32*a*x^4*sqrt(b*x^8+a)/b^2+1/16*x^12*sqrt(b*x^8+a)/b+3/32*a^2*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(5/2),1],
[x^11/sqrt(b*x^8+a),x,4,1/8*x^4*sqrt(b*x^8+a)/b-1/8*a*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(3/2),1],
[x^3/sqrt(b*x^8+a),x,3,1/4*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/sqrt(b),1],
[1/x^5/sqrt(b*x^8+a),x,1,-1/4*sqrt(b*x^8+a)/a/x^4,1],
[1/x^13/sqrt(b*x^8+a),x,2,-1/12*sqrt(b*x^8+a)/a/x^12+1/6*b*sqrt(b*x^8+a)/a^2/x^4,1],
[1/x^21/sqrt(b*x^8+a),x,3,-1/20*sqrt(b*x^8+a)/a/x^20+1/15*b*sqrt(b*x^8+a)/a^2/x^12-2/15*b^2*sqrt(b*x^8+a)/a^3/x^4,1],
[1/x^29/sqrt(b*x^8+a),x,4,-1/28*sqrt(b*x^8+a)/a/x^28+3/70*b*sqrt(b*x^8+a)/a^2/x^20-2/35*b^2*sqrt(b*x^8+a)/a^3/x^12+4/35*b^3*sqrt(b*x^8+a)/a^4/x^4,1],
[x^25/sqrt(b*x^8+a),x,5,15/154*a^2*x^2*sqrt(b*x^8+a)/b^3-9/154*a*x^10*sqrt(b*x^8+a)/b^2+1/22*x^18*sqrt(b*x^8+a)/b-15/308*a^(11/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(13/4)/sqrt(b*x^8+a),1],
[x^17/sqrt(b*x^8+a),x,4,-5/42*a*x^2*sqrt(b*x^8+a)/b^2+1/14*x^10*sqrt(b*x^8+a)/b+5/84*a^(7/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(b*x^8+a),1],
[x^9/sqrt(b*x^8+a),x,3,1/6*x^2*sqrt(b*x^8+a)/b-1/12*a^(3/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(5/4)/sqrt(b*x^8+a),1],
[x/sqrt(b*x^8+a),x,2,1/4*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(1/4)/sqrt(b*x^8+a),1],
[1/x^7/sqrt(b*x^8+a),x,3,-1/6*sqrt(b*x^8+a)/a/x^6-1/12*b^(3/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(5/4)/sqrt(b*x^8+a),1],
[1/x^15/sqrt(b*x^8+a),x,4,-1/14*sqrt(b*x^8+a)/a/x^14+5/42*b*sqrt(b*x^8+a)/a^2/x^6+5/84*b^(7/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(9/4)/sqrt(b*x^8+a),1],
[1/x^23/sqrt(b*x^8+a),x,5,-1/22*sqrt(b*x^8+a)/a/x^22+9/154*b*sqrt(b*x^8+a)/a^2/x^14-15/154*b^2*sqrt(b*x^8+a)/a^3/x^6-15/308*b^(11/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(13/4)/sqrt(b*x^8+a),1],
[x^29/sqrt(b*x^8+a),x,8,77/1170*a^2*x^6*sqrt(b*x^8+a)/b^3-11/234*a*x^14*sqrt(b*x^8+a)/b^2+1/26*x^22*sqrt(b*x^8+a)/b-77/390*a^3*x^2*sqrt(b*x^8+a)/b^(7/2)/(sqrt(a)+sqrt(b)*x^4)+77/390*a^(13/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(15/4)/sqrt(b*x^8+a)-77/780*a^(13/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(15/4)/sqrt(b*x^8+a),1],
[x^21/sqrt(b*x^8+a),x,7,-7/90*a*x^6*sqrt(b*x^8+a)/b^2+1/18*x^14*sqrt(b*x^8+a)/b+7/30*a^2*x^2*sqrt(b*x^8+a)/b^(5/2)/(sqrt(a)+sqrt(b)*x^4)-7/30*a^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(11/4)/sqrt(b*x^8+a)+7/60*a^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(11/4)/sqrt(b*x^8+a),1],
[x^13/sqrt(b*x^8+a),x,6,1/10*x^6*sqrt(b*x^8+a)/b-3/10*a*x^2*sqrt(b*x^8+a)/b^(3/2)/(sqrt(a)+sqrt(b)*x^4)+3/10*a^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(b*x^8+a)-3/20*a^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(b*x^8+a),1],
[x^5/sqrt(b*x^8+a),x,5,1/2*x^2*sqrt(b*x^8+a)/sqrt(b)/(sqrt(a)+sqrt(b)*x^4)-1/2*a^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(3/4)/sqrt(b*x^8+a)+1/4*a^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(3/4)/sqrt(b*x^8+a),1],
[1/x^3/sqrt(b*x^8+a),x,6,-1/2*sqrt(b*x^8+a)/a/x^2+1/2*sqrt(b)*x^2*sqrt(b*x^8+a)/a/(sqrt(a)+sqrt(b)*x^4)-1/2*b^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(3/4)/sqrt(b*x^8+a)+1/4*b^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(3/4)/sqrt(b*x^8+a),1],
[1/x^11/sqrt(b*x^8+a),x,7,-1/10*sqrt(b*x^8+a)/a/x^10+3/10*b*sqrt(b*x^8+a)/a^2/x^2-3/10*b^(3/2)*x^2*sqrt(b*x^8+a)/a^2/(sqrt(a)+sqrt(b)*x^4)+3/10*b^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(7/4)/sqrt(b*x^8+a)-3/20*b^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(7/4)/sqrt(b*x^8+a),1],
[1/x^19/sqrt(b*x^8+a),x,8,-1/18*sqrt(b*x^8+a)/a/x^18+7/90*b*sqrt(b*x^8+a)/a^2/x^10-7/30*b^2*sqrt(b*x^8+a)/a^3/x^2+7/30*b^(5/2)*x^2*sqrt(b*x^8+a)/a^3/(sqrt(a)+sqrt(b)*x^4)-7/30*b^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(11/4)/sqrt(b*x^8+a)+7/60*b^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(11/4)/sqrt(b*x^8+a),1],
[x^24/sqrt(b*x^8+a),x,6,51/455*a^2*x*sqrt(b*x^8+a)/b^3-17/273*a*x^9*sqrt(b*x^8+a)/b^2+1/21*x^17*sqrt(b*x^8+a)/b-51/910*a^3*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(11/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+51/910*a^3*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(11/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^16/sqrt(b*x^8+a),x,5,-9/65*a*x*sqrt(b*x^8+a)/b^2+1/13*x^9*sqrt(b*x^8+a)/b+9/130*a^2*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(7/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-9/130*a^2*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(7/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^8/sqrt(b*x^8+a),x,4,1/5*x*sqrt(b*x^8+a)/b-1/10*a*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/10*a*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/sqrt(b*x^8+a),x,3,1/2*b^(1/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/2*b^(1/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^8/sqrt(b*x^8+a),x,4,-1/7*sqrt(b*x^8+a)/a/x^7-3/14*b^(5/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+3/14*b^(5/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^16/sqrt(b*x^8+a),x,5,-1/15*sqrt(b*x^8+a)/a/x^15+11/105*b*sqrt(b*x^8+a)/a^2/x^7+11/70*b^(9/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^2/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-11/70*b^(9/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^2/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^24/sqrt(b*x^8+a),x,6,-1/23*sqrt(b*x^8+a)/a/x^23+19/345*b*sqrt(b*x^8+a)/a^2/x^15-209/2415*b^2*sqrt(b*x^8+a)/a^3/x^7-209/1610*b^(13/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^3/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+209/1610*b^(13/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^3/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^26/sqrt(b*x^8+a),x,6,209/2415*a^2*x^3*sqrt(b*x^8+a)/b^3-19/345*a*x^11*sqrt(b*x^8+a)/b^2+1/23*x^19*sqrt(b*x^8+a)/b+209/1610*a^(13/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^3/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+209/1610*a^(13/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^3/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^18/sqrt(b*x^8+a),x,5,-11/105*a*x^3*sqrt(b*x^8+a)/b^2+1/15*x^11*sqrt(b*x^8+a)/b-11/70*a^(9/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^2/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-11/70*a^(9/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^2/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^10/sqrt(b*x^8+a),x,4,1/7*x^3*sqrt(b*x^8+a)/b+3/14*a^(5/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+3/14*a^(5/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^2/sqrt(b*x^8+a),x,3,-1/2*a^(1/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/2*a^(1/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^6/sqrt(b*x^8+a),x,4,-1/5*sqrt(b*x^8+a)/a/x^5+1/10*b*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/10*b*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^14/sqrt(b*x^8+a),x,5,-1/13*sqrt(b*x^8+a)/a/x^13+9/65*b*sqrt(b*x^8+a)/a^2/x^5-9/130*b^2*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-9/130*b^2*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^22/sqrt(b*x^8+a),x,6,-1/21*sqrt(b*x^8+a)/a/x^21+17/273*b*sqrt(b*x^8+a)/a^2/x^13-51/455*b^2*sqrt(b*x^8+a)/a^3/x^5+51/910*b^3*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(11/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+51/910*b^3*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(11/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^28/sqrt(b*x^8+a),x,8,91/1275*a^2*x^5*sqrt(b*x^8+a)/b^3-21/425*a*x^13*sqrt(b*x^8+a)/b^2+1/25*x^21*sqrt(b*x^8+a)/b+91/510*sqrt(2+sqrt(2))*a^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-91/510*sqrt(2+sqrt(2))*a^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-91/510*a^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+91/510*a^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^20/sqrt(b*x^8+a),x,7,-13/153*a*x^5*sqrt(b*x^8+a)/b^2+1/17*x^13*sqrt(b*x^8+a)/b-65/306*sqrt(2+sqrt(2))*a^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+65/306*sqrt(2+sqrt(2))*a^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+65/306*a^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-65/306*a^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^12/sqrt(b*x^8+a),x,6,1/9*x^5*sqrt(b*x^8+a)/b+5/18*sqrt(2+sqrt(2))*a^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-5/18*sqrt(2+sqrt(2))*a^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-5/18*a^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+5/18*a^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^4/sqrt(b*x^8+a),x,5,-1/2*sqrt(2+sqrt(2))*sqrt(a)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/2*sqrt(2+sqrt(2))*sqrt(a)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+1/2*sqrt(a)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/2*sqrt(a)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^4/sqrt(b*x^8+a),x,6,-1/3*sqrt(b*x^8+a)/a/x^3-1/6*sqrt(2+sqrt(2))*b^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(a)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/6*sqrt(2+sqrt(2))*b^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(a)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+1/6*b^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(a)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/6*b^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(a)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^12/sqrt(b*x^8+a),x,7,-1/11*sqrt(b*x^8+a)/a/x^11+7/33*b*sqrt(b*x^8+a)/a^2/x^3+7/66*sqrt(2+sqrt(2))*b^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-7/66*sqrt(2+sqrt(2))*b^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-7/66*b^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+7/66*b^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^20/sqrt(b*x^8+a),x,8,-1/19*sqrt(b*x^8+a)/a/x^19+15/209*b*sqrt(b*x^8+a)/a^2/x^11-35/209*b^2*sqrt(b*x^8+a)/a^3/x^3-35/418*sqrt(2+sqrt(2))*b^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+35/418*sqrt(2+sqrt(2))*b^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+35/418*b^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-35/418*b^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^22/sqrt(b*x^8+a),x,8,35/209*a^2*sqrt(b*x^8+a)/b^3/x-15/209*a*x^7*sqrt(b*x^8+a)/b^2+1/19*x^15*sqrt(b*x^8+a)/b+35/418*sqrt(2+sqrt(2))*a^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+35/418*sqrt(2+sqrt(2))*a^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-35/418*a^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-35/418*a^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^14/sqrt(b*x^8+a),x,7,-7/33*a*sqrt(b*x^8+a)/b^2/x+1/11*x^7*sqrt(b*x^8+a)/b-7/66*sqrt(2+sqrt(2))*a^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-7/66*sqrt(2+sqrt(2))*a^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+7/66*a^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+7/66*a^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^6/sqrt(b*x^8+a),x,6,1/3*sqrt(b*x^8+a)/b/x+1/6*sqrt(2+sqrt(2))*a^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(b)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/6*sqrt(2+sqrt(2))*a^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(b)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-1/6*a^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(b)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/6*a^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(b)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^2/sqrt(b*x^8+a),x,5,1/2*sqrt(2+sqrt(2))*sqrt(b)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/2*sqrt(2+sqrt(2))*sqrt(b)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-1/2*sqrt(b)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/2*sqrt(b)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^10/sqrt(b*x^8+a),x,6,-1/9*sqrt(b*x^8+a)/a/x^9-5/18*sqrt(2+sqrt(2))*b^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-5/18*sqrt(2+sqrt(2))*b^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+5/18*b^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+5/18*b^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^18/sqrt(b*x^8+a),x,7,-1/17*sqrt(b*x^8+a)/a/x^17+13/153*b*sqrt(b*x^8+a)/a^2/x^9+65/306*sqrt(2+sqrt(2))*b^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+65/306*sqrt(2+sqrt(2))*b^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-65/306*b^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-65/306*b^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^26/sqrt(b*x^8+a),x,8,-1/25*sqrt(b*x^8+a)/a/x^25+21/425*b*sqrt(b*x^8+a)/a^2/x^17-91/1275*b^2*sqrt(b*x^8+a)/a^3/x^9-91/510*sqrt(2+sqrt(2))*b^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-91/510*sqrt(2+sqrt(2))*b^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+91/510*b^(7/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+91/510*b^(7/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^23/sqrt(x^8+1),x,3,1/4*sqrt(x^8+1)-1/6*(x^8+1)^(3/2)+1/20*(x^8+1)^(5/2),1],
[x^15/sqrt(x^8+1),x,3,-1/4*sqrt(x^8+1)+1/12*(x^8+1)^(3/2),1],
[x^7/sqrt(x^8+1),x,1,1/4*sqrt(x^8+1),1],
[1/x/sqrt(x^8+1),x,2,-1/4*arctanh(sqrt(x^8+1)),1],
[1/x^9/sqrt(x^8+1),x,4,-1/8*sqrt(x^8+1)/x^8+1/8*arctanh(sqrt(x^8+1)),1],
[1/x^17/sqrt(x^8+1),x,5,-1/16*sqrt(x^8+1)/x^16+3/32*sqrt(x^8+1)/x^8-3/32*arctanh(sqrt(x^8+1)),1],
[x^19/sqrt(x^8+1),x,4,-3/32*x^4*sqrt(x^8+1)+1/16*x^12*sqrt(x^8+1)+3/32*arcsinh(x^4),1],
[x^11/sqrt(x^8+1),x,3,1/8*x^4*sqrt(x^8+1)-1/8*arcsinh(x^4),1],
[x^3/sqrt(x^8+1),x,2,1/4*arcsinh(x^4),1],
[1/x^5/sqrt(x^8+1),x,1,-1/4*sqrt(x^8+1)/x^4,1],
[1/x^13/sqrt(x^8+1),x,2,-1/12*sqrt(x^8+1)/x^12+1/6*sqrt(x^8+1)/x^4,1],
[x^31/(b*x^8+a)^(3/2),x,3,1/4*a^3/b^4/sqrt(b*x^8+a)+3/4*a^2*sqrt(b*x^8+a)/b^4-1/4*a*(b*x^8+a)^(3/2)/b^4+1/20*(b*x^8+a)^(5/2)/b^4,1],
[x^23/(b*x^8+a)^(3/2),x,3,-1/4*a^2/b^3/sqrt(b*x^8+a)-1/2*a*sqrt(b*x^8+a)/b^3+1/12*(b*x^8+a)^(3/2)/b^3,1],
[x^15/(b*x^8+a)^(3/2),x,3,1/4*a/b^2/sqrt(b*x^8+a)+1/4*sqrt(b*x^8+a)/b^2,1],
[x^7/(b*x^8+a)^(3/2),x,1,-1/4/b/sqrt(b*x^8+a),1],
[1/x/(b*x^8+a)^(3/2),x,4,1/4/a/sqrt(b*x^8+a)-1/4*arctanh(sqrt(b*x^8+a)/sqrt(a))/a^(3/2),1],
[1/x^9/(b*x^8+a)^(3/2),x,5,-3/8*b/a^2/sqrt(b*x^8+a)-1/8/a/x^8/sqrt(b*x^8+a)+3/8*b*arctanh(sqrt(b*x^8+a)/sqrt(a))/a^(5/2),1],
[1/x^17/(b*x^8+a)^(3/2),x,6,15/32*b^2/a^3/sqrt(b*x^8+a)-1/16/a/x^16/sqrt(b*x^8+a)+5/32*b/a^2/x^8/sqrt(b*x^8+a)-15/32*b^2*arctanh(sqrt(b*x^8+a)/sqrt(a))/a^(7/2),1],
[x^27/(b*x^8+a)^(3/2),x,6,-1/4*x^20/b/sqrt(b*x^8+a)-15/32*a*x^4*sqrt(b*x^8+a)/b^3+5/16*x^12*sqrt(b*x^8+a)/b^2+15/32*a^2*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(7/2),1],
[x^19/(b*x^8+a)^(3/2),x,5,-1/4*x^12/b/sqrt(b*x^8+a)+3/8*x^4*sqrt(b*x^8+a)/b^2-3/8*a*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(5/2),1],
[x^11/(b*x^8+a)^(3/2),x,4,-1/4*x^4/b/sqrt(b*x^8+a)+1/4*arctanh(sqrt(b)*x^4/sqrt(b*x^8+a))/b^(3/2),1],
[x^3/(b*x^8+a)^(3/2),x,2,1/4*x^4/a/sqrt(b*x^8+a),1],
[1/x^5/(b*x^8+a)^(3/2),x,2,1/4/a/x^4/sqrt(b*x^8+a)-1/2*sqrt(b*x^8+a)/a^2/x^4,1],
[1/x^13/(b*x^8+a)^(3/2),x,3,1/4/a/x^12/sqrt(b*x^8+a)-1/3*sqrt(b*x^8+a)/a^2/x^12+2/3*b*sqrt(b*x^8+a)/a^3/x^4,1],
[1/x^21/(b*x^8+a)^(3/2),x,4,1/4/a/x^20/sqrt(b*x^8+a)-3/10*sqrt(b*x^8+a)/a^2/x^20+2/5*b*sqrt(b*x^8+a)/a^3/x^12-4/5*b^2*sqrt(b*x^8+a)/a^4/x^4,1],
[1/x^29/(b*x^8+a)^(3/2),x,5,1/4/a/x^28/sqrt(b*x^8+a)-2/7*sqrt(b*x^8+a)/a^2/x^28+12/35*b*sqrt(b*x^8+a)/a^3/x^20-16/35*b^2*sqrt(b*x^8+a)/a^4/x^12+32/35*b^3*sqrt(b*x^8+a)/a^5/x^4,1],
[x^25/(b*x^8+a)^(3/2),x,5,-1/4*x^18/b/sqrt(b*x^8+a)-15/28*a*x^2*sqrt(b*x^8+a)/b^3+9/28*x^10*sqrt(b*x^8+a)/b^2+15/56*a^(7/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(13/4)/sqrt(b*x^8+a),1],
[x^17/(b*x^8+a)^(3/2),x,4,-1/4*x^10/b/sqrt(b*x^8+a)+5/12*x^2*sqrt(b*x^8+a)/b^2-5/24*a^(3/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(b*x^8+a),1],
[x^9/(b*x^8+a)^(3/2),x,3,-1/4*x^2/b/sqrt(b*x^8+a)+1/8*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(5/4)/sqrt(b*x^8+a),1],
[x/(b*x^8+a)^(3/2),x,3,1/4*x^2/a/sqrt(b*x^8+a)+1/8*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(5/4)/b^(1/4)/sqrt(b*x^8+a),1],
[1/x^7/(b*x^8+a)^(3/2),x,4,1/4/a/x^6/sqrt(b*x^8+a)-5/12*sqrt(b*x^8+a)/a^2/x^6-5/24*b^(3/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(9/4)/sqrt(b*x^8+a),1],
[1/x^15/(b*x^8+a)^(3/2),x,5,1/4/a/x^14/sqrt(b*x^8+a)-9/28*sqrt(b*x^8+a)/a^2/x^14+15/28*b*sqrt(b*x^8+a)/a^3/x^6+15/56*b^(7/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(13/4)/sqrt(b*x^8+a),1],
[1/x^23/(b*x^8+a)^(3/2),x,6,1/4/a/x^22/sqrt(b*x^8+a)-13/44*sqrt(b*x^8+a)/a^2/x^22+117/308*b*sqrt(b*x^8+a)/a^3/x^14-195/308*b^2*sqrt(b*x^8+a)/a^4/x^6-195/616*b^(11/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(17/4)/sqrt(b*x^8+a),1],
[x^29/(b*x^8+a)^(3/2),x,8,-1/4*x^22/b/sqrt(b*x^8+a)-77/180*a*x^6*sqrt(b*x^8+a)/b^3+11/36*x^14*sqrt(b*x^8+a)/b^2+77/60*a^2*x^2*sqrt(b*x^8+a)/b^(7/2)/(sqrt(a)+sqrt(b)*x^4)-77/60*a^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(15/4)/sqrt(b*x^8+a)+77/120*a^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(15/4)/sqrt(b*x^8+a),1],
[x^21/(b*x^8+a)^(3/2),x,7,-1/4*x^14/b/sqrt(b*x^8+a)+7/20*x^6*sqrt(b*x^8+a)/b^2-21/20*a*x^2*sqrt(b*x^8+a)/b^(5/2)/(sqrt(a)+sqrt(b)*x^4)+21/20*a^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(11/4)/sqrt(b*x^8+a)-21/40*a^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(11/4)/sqrt(b*x^8+a),1],
[x^13/(b*x^8+a)^(3/2),x,6,-1/4*x^6/b/sqrt(b*x^8+a)+3/4*x^2*sqrt(b*x^8+a)/b^(3/2)/(sqrt(a)+sqrt(b)*x^4)-3/4*a^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(b*x^8+a)+3/8*a^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(b*x^8+a),1],
[x^5/(b*x^8+a)^(3/2),x,6,1/4*x^6/a/sqrt(b*x^8+a)-1/4*x^2*sqrt(b*x^8+a)/a/sqrt(b)/(sqrt(a)+sqrt(b)*x^4)+1/4*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(3/4)/b^(3/4)/sqrt(b*x^8+a)-1/8*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(3/4)/b^(3/4)/sqrt(b*x^8+a),1],
[1/x^3/(b*x^8+a)^(3/2),x,7,1/4/a/x^2/sqrt(b*x^8+a)-3/4*sqrt(b*x^8+a)/a^2/x^2+3/4*sqrt(b)*x^2*sqrt(b*x^8+a)/a^2/(sqrt(a)+sqrt(b)*x^4)-3/4*b^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(7/4)/sqrt(b*x^8+a)+3/8*b^(1/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(7/4)/sqrt(b*x^8+a),1],
[1/x^11/(b*x^8+a)^(3/2),x,8,1/4/a/x^10/sqrt(b*x^8+a)-7/20*sqrt(b*x^8+a)/a^2/x^10+21/20*b*sqrt(b*x^8+a)/a^3/x^2-21/20*b^(3/2)*x^2*sqrt(b*x^8+a)/a^3/(sqrt(a)+sqrt(b)*x^4)+21/20*b^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(11/4)/sqrt(b*x^8+a)-21/40*b^(5/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(11/4)/sqrt(b*x^8+a),1],
[1/x^19/(b*x^8+a)^(3/2),x,9,1/4/a/x^18/sqrt(b*x^8+a)-11/36*sqrt(b*x^8+a)/a^2/x^18+77/180*b*sqrt(b*x^8+a)/a^3/x^10-77/60*b^2*sqrt(b*x^8+a)/a^4/x^2+77/60*b^(5/2)*x^2*sqrt(b*x^8+a)/a^4/(sqrt(a)+sqrt(b)*x^4)-77/60*b^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*EllipticE(sin(2*arctan(b^(1/4)*x^2/a^(1/4))),sqrt(1/2))/a^(15/4)/sqrt(b*x^8+a)+77/120*b^(9/4)*(sqrt(a)+sqrt(b)*x^4)*sqrt((b*x^8+a)/(sqrt(a)+sqrt(b)*x^4)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x^2/a^(1/4)),sqrt(1/2))/a^(15/4)/sqrt(b*x^8+a),1],
[x^24/(b*x^8+a)^(3/2),x,6,-1/4*x^17/b/sqrt(b*x^8+a)-153/260*a*x*sqrt(b*x^8+a)/b^3+17/52*x^9*sqrt(b*x^8+a)/b^2+153/520*a^2*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(11/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-153/520*a^2*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(11/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^16/(b*x^8+a)^(3/2),x,5,-1/4*x^9/b/sqrt(b*x^8+a)+9/20*x*sqrt(b*x^8+a)/b^2-9/40*a*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(7/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+9/40*a*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(7/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^8/(b*x^8+a)^(3/2),x,4,-1/4*x/b/sqrt(b*x^8+a)+1/8*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/8*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/(b*x^8+a)^(3/2),x,4,1/4*x/a/sqrt(b*x^8+a)+3/8*b^(1/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-3/8*b^(1/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^8/(b*x^8+a)^(3/2),x,5,1/4/a/x^7/sqrt(b*x^8+a)-11/28*sqrt(b*x^8+a)/a^2/x^7-33/56*b^(5/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^2/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+33/56*b^(5/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^2/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^16/(b*x^8+a)^(3/2),x,6,1/4/a/x^15/sqrt(b*x^8+a)-19/60*sqrt(b*x^8+a)/a^2/x^15+209/420*b*sqrt(b*x^8+a)/a^3/x^7+209/280*b^(9/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^3/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-209/280*b^(9/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^3/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^24/(b*x^8+a)^(3/2),x,7,1/4/a/x^23/sqrt(b*x^8+a)-27/92*sqrt(b*x^8+a)/a^2/x^23+171/460*b*sqrt(b*x^8+a)/a^3/x^15-1881/3220*b^2*sqrt(b*x^8+a)/a^4/x^7-5643/6440*b^(13/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^4/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+5643/6440*b^(13/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^4/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^26/(b*x^8+a)^(3/2),x,6,-1/4*x^19/b/sqrt(b*x^8+a)-209/420*a*x^3*sqrt(b*x^8+a)/b^3+19/60*x^11*sqrt(b*x^8+a)/b^2-209/280*a^(9/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^3/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-209/280*a^(9/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^3/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^18/(b*x^8+a)^(3/2),x,5,-1/4*x^11/b/sqrt(b*x^8+a)+11/28*x^3*sqrt(b*x^8+a)/b^2+33/56*a^(5/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^2/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+33/56*a^(5/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^2/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^10/(b*x^8+a)^(3/2),x,4,-1/4*x^3/b/sqrt(b*x^8+a)-3/8*a^(1/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-3/8*a^(1/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^2/(b*x^8+a)^(3/2),x,4,1/4*x^3/a/sqrt(b*x^8+a)-1/8*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/8*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^6/(b*x^8+a)^(3/2),x,5,1/4/a/x^5/sqrt(b*x^8+a)-9/20*sqrt(b*x^8+a)/a^2/x^5+9/40*b*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+9/40*b*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^14/(b*x^8+a)^(3/2),x,6,1/4/a/x^13/sqrt(b*x^8+a)-17/52*sqrt(b*x^8+a)/a^2/x^13+153/260*b*sqrt(b*x^8+a)/a^3/x^5-153/520*b^2*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(11/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-153/520*b^2*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(11/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^22/(b*x^8+a)^(3/2),x,7,1/4/a/x^21/sqrt(b*x^8+a)-25/84*sqrt(b*x^8+a)/a^2/x^21+425/1092*b*sqrt(b*x^8+a)/a^3/x^13-255/364*b^2*sqrt(b*x^8+a)/a^4/x^5+255/728*b^3*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(15/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+255/728*b^3*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(15/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^28/(b*x^8+a)^(3/2),x,8,-1/4*x^21/b/sqrt(b*x^8+a)-91/204*a*x^5*sqrt(b*x^8+a)/b^3+21/68*x^13*sqrt(b*x^8+a)/b^2-455/408*sqrt(2+sqrt(2))*a^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+455/408*sqrt(2+sqrt(2))*a^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+455/408*a^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-455/408*a^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^20/(b*x^8+a)^(3/2),x,7,-1/4*x^13/b/sqrt(b*x^8+a)+13/36*x^5*sqrt(b*x^8+a)/b^2+65/72*sqrt(2+sqrt(2))*a^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-65/72*sqrt(2+sqrt(2))*a^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-65/72*a^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+65/72*a^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^12/(b*x^8+a)^(3/2),x,6,-1/4*x^5/b/sqrt(b*x^8+a)-5/8*sqrt(2+sqrt(2))*sqrt(a)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+5/8*sqrt(2+sqrt(2))*sqrt(a)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+5/8*sqrt(a)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-5/8*sqrt(a)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^4/(b*x^8+a)^(3/2),x,6,1/4*x^5/a/sqrt(b*x^8+a)+1/8*sqrt(2+sqrt(2))*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(a)/b^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/8*sqrt(2+sqrt(2))*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(a)/b^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-1/8*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(a)/b^(1/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/8*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/sqrt(a)/b^(1/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^4/(b*x^8+a)^(3/2),x,7,1/4/a/x^3/sqrt(b*x^8+a)-7/12*sqrt(b*x^8+a)/a^2/x^3-7/24*sqrt(2+sqrt(2))*b^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+7/24*sqrt(2+sqrt(2))*b^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+7/24*b^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-7/24*b^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^12/(b*x^8+a)^(3/2),x,8,1/4/a/x^11/sqrt(b*x^8+a)-15/44*sqrt(b*x^8+a)/a^2/x^11+35/44*b*sqrt(b*x^8+a)/a^3/x^3+35/88*sqrt(2+sqrt(2))*b^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-35/88*sqrt(2+sqrt(2))*b^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-35/88*b^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+35/88*b^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^20/(b*x^8+a)^(3/2),x,9,1/4/a/x^19/sqrt(b*x^8+a)-23/76*sqrt(b*x^8+a)/a^2/x^19+345/836*b*sqrt(b*x^8+a)/a^3/x^11-805/836*b^2*sqrt(b*x^8+a)/a^4/x^3-805/1672*sqrt(2+sqrt(2))*b^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(7/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+805/1672*sqrt(2+sqrt(2))*b^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(7/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+805/1672*b^(11/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-805/1672*b^(11/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(7/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^22/(b*x^8+a)^(3/2),x,8,-1/4*x^15/b/sqrt(b*x^8+a)-35/44*a*sqrt(b*x^8+a)/b^3/x+15/44*x^7*sqrt(b*x^8+a)/b^2-35/88*sqrt(2+sqrt(2))*a^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-35/88*sqrt(2+sqrt(2))*a^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+35/88*a^(7/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+35/88*a^(7/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(5/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^14/(b*x^8+a)^(3/2),x,7,-1/4*x^7/b/sqrt(b*x^8+a)+7/12*sqrt(b*x^8+a)/b^2/x+7/24*sqrt(2+sqrt(2))*a^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+7/24*sqrt(2+sqrt(2))*a^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/b^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-7/24*a^(3/4)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/2)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-7/24*a^(3/4)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/b^(3/2)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^6/(b*x^8+a)^(3/2),x,7,1/4*x^7/a/sqrt(b*x^8+a)-1/4*sqrt(b*x^8+a)/a/b/x-1/8*sqrt(2+sqrt(2))*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(1/4)/sqrt(b)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-1/8*sqrt(2+sqrt(2))*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(1/4)/sqrt(b)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+1/8*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(1/4)/sqrt(b)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+1/8*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(1/4)/sqrt(b)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^2/(b*x^8+a)^(3/2),x,6,1/4/a/x/sqrt(b*x^8+a)+5/8*sqrt(2+sqrt(2))*sqrt(b)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+5/8*sqrt(2+sqrt(2))*sqrt(b)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-5/8*sqrt(b)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-5/8*sqrt(b)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(5/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^10/(b*x^8+a)^(3/2),x,7,1/4/a/x^9/sqrt(b*x^8+a)-13/36*sqrt(b*x^8+a)/a^2/x^9-65/72*sqrt(2+sqrt(2))*b^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-65/72*sqrt(2+sqrt(2))*b^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)+65/72*b^(3/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(9/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+65/72*b^(3/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(9/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[1/x^18/(b*x^8+a)^(3/2),x,8,1/4/a/x^17/sqrt(b*x^8+a)-21/68*sqrt(b*x^8+a)/a^2/x^17+91/204*b*sqrt(b*x^8+a)/a^3/x^9+455/408*sqrt(2+sqrt(2))*b^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)+455/408*sqrt(2+sqrt(2))*b^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/a^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a)-455/408*b^(5/2)*x^3*sqrt((a^(1/4)+b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(13/4)/(a^(1/4)+b^(1/4)*x^2)/sqrt(b*x^8+a)-455/408*b^(5/2)*x^3*sqrt(-(a^(1/4)-b^(1/4)*x^2)^2/a^(1/4)/b^(1/4)/x^2)*sqrt(-(b*x^8+a)/sqrt(a)/sqrt(b)/x^4)*InverseJacobiAM(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*b^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(b)*x^4/sqrt(a))/b^(1/4)/x^2)),sqrt(-2+2*sqrt(2)))/sqrt(2+sqrt(2))/a^(13/4)/(a^(1/4)-b^(1/4)*x^2)/sqrt(b*x^8+a),1],
[x^31*sqrt(-b*x^8+a),x,3,-1/12*a^3*(-b*x^8+a)^(3/2)/b^4+3/20*a^2*(-b*x^8+a)^(5/2)/b^4-3/28*a*(-b*x^8+a)^(7/2)/b^4+1/36*(-b*x^8+a)^(9/2)/b^4,1],
[x^23*sqrt(-b*x^8+a),x,3,-1/12*a^2*(-b*x^8+a)^(3/2)/b^3+1/10*a*(-b*x^8+a)^(5/2)/b^3-1/28*(-b*x^8+a)^(7/2)/b^3,1],
[x^15*sqrt(-b*x^8+a),x,3,-1/12*a*(-b*x^8+a)^(3/2)/b^2+1/20*(-b*x^8+a)^(5/2)/b^2,1],
[x^7*sqrt(-b*x^8+a),x,1,-1/12*(-b*x^8+a)^(3/2)/b,1],
[sqrt(-b*x^8+a)/x,x,4,1/4*sqrt(-b*x^8+a)-1/4*sqrt(a)*arctanh(sqrt(-b*x^8+a)/sqrt(a)),1],
[sqrt(-b*x^8+a)/x^9,x,4,-1/8*sqrt(-b*x^8+a)/x^8+1/8*b*arctanh(sqrt(-b*x^8+a)/sqrt(a))/sqrt(a),1],
[sqrt(-b*x^8+a)/x^17,x,5,-1/16*sqrt(-b*x^8+a)/x^16+1/32*b*sqrt(-b*x^8+a)/a/x^8+1/32*b^2*arctanh(sqrt(-b*x^8+a)/sqrt(a))/a^(3/2),1],
[x^19*sqrt(-b*x^8+a),x,6,-1/64*a^2*x^4*sqrt(-b*x^8+a)/b^2-1/96*a*x^12*sqrt(-b*x^8+a)/b+1/24*x^20*sqrt(-b*x^8+a)+1/64*a^3*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(5/2),1],
[x^11*sqrt(-b*x^8+a),x,5,-1/32*a*x^4*sqrt(-b*x^8+a)/b+1/16*x^12*sqrt(-b*x^8+a)+1/32*a^2*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(3/2),1],
[x^3*sqrt(-b*x^8+a),x,4,1/8*x^4*sqrt(-b*x^8+a)+1/8*a*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/sqrt(b),1],
[sqrt(-b*x^8+a)/x^5,x,4,-1/4*sqrt(-b*x^8+a)/x^4-1/4*sqrt(b)*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a)),1],
[sqrt(-b*x^8+a)/x^13,x,1,-1/12*(-b*x^8+a)^(3/2)/a/x^12,1],
[sqrt(-b*x^8+a)/x^21,x,2,-1/20*(-b*x^8+a)^(3/2)/a/x^20-1/30*b*(-b*x^8+a)^(3/2)/a^2/x^12,1],
[sqrt(-b*x^8+a)/x^29,x,3,-1/28*(-b*x^8+a)^(3/2)/a/x^28-1/35*b*(-b*x^8+a)^(3/2)/a^2/x^20-2/105*b^2*(-b*x^8+a)^(3/2)/a^3/x^12,1],
[sqrt(-b*x^8+a)/x^37,x,4,-1/36*(-b*x^8+a)^(3/2)/a/x^36-1/42*b*(-b*x^8+a)^(3/2)/a^2/x^28-2/105*b^2*(-b*x^8+a)^(3/2)/a^3/x^20-4/315*b^3*(-b*x^8+a)^(3/2)/a^4/x^12,1],
[x^25*sqrt(-b*x^8+a),x,7,-1/77*a^3*x^2*sqrt(-b*x^8+a)/b^3-3/385*a^2*x^10*sqrt(-b*x^8+a)/b^2-1/165*a*x^18*sqrt(-b*x^8+a)/b+1/30*x^26*sqrt(-b*x^8+a)+1/77*a^(17/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(13/4)/sqrt(-b*x^8+a),1],
[x^17*sqrt(-b*x^8+a),x,6,-5/231*a^2*x^2*sqrt(-b*x^8+a)/b^2-1/77*a*x^10*sqrt(-b*x^8+a)/b+1/22*x^18*sqrt(-b*x^8+a)+5/231*a^(13/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(9/4)/sqrt(-b*x^8+a),1],
[x^9*sqrt(-b*x^8+a),x,5,-1/21*a*x^2*sqrt(-b*x^8+a)/b+1/14*x^10*sqrt(-b*x^8+a)+1/21*a^(9/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(5/4)/sqrt(-b*x^8+a),1],
[x*sqrt(-b*x^8+a),x,4,1/6*x^2*sqrt(-b*x^8+a)+1/3*a^(5/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(1/4)/sqrt(-b*x^8+a),1],
[sqrt(-b*x^8+a)/x^7,x,4,-1/6*sqrt(-b*x^8+a)/x^6-1/3*a^(1/4)*b^(3/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/sqrt(-b*x^8+a),1],
[sqrt(-b*x^8+a)/x^15,x,5,-1/14*sqrt(-b*x^8+a)/x^14+1/21*b*sqrt(-b*x^8+a)/a/x^6-1/21*b^(7/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(3/4)/sqrt(-b*x^8+a),1],
[sqrt(-b*x^8+a)/x^23,x,6,-1/22*sqrt(-b*x^8+a)/x^22+1/77*b*sqrt(-b*x^8+a)/a/x^14+5/231*b^2*sqrt(-b*x^8+a)/a^2/x^6-5/231*b^(11/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(7/4)/sqrt(-b*x^8+a),1],
[x^29*sqrt(-b*x^8+a),x,9,-77/9945*a^3*x^6*sqrt(-b*x^8+a)/b^3-11/1989*a^2*x^14*sqrt(-b*x^8+a)/b^2-1/221*a*x^22*sqrt(-b*x^8+a)/b+1/34*x^30*sqrt(-b*x^8+a)+77/3315*a^(19/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(15/4)/sqrt(-b*x^8+a)-77/3315*a^(19/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(15/4)/sqrt(-b*x^8+a),1],
[x^21*sqrt(-b*x^8+a),x,8,-7/585*a^2*x^6*sqrt(-b*x^8+a)/b^2-1/117*a*x^14*sqrt(-b*x^8+a)/b+1/26*x^22*sqrt(-b*x^8+a)+7/195*a^(15/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(11/4)/sqrt(-b*x^8+a)-7/195*a^(15/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(11/4)/sqrt(-b*x^8+a),1],
[x^13*sqrt(-b*x^8+a),x,7,-1/45*a*x^6*sqrt(-b*x^8+a)/b+1/18*x^14*sqrt(-b*x^8+a)+1/15*a^(11/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(7/4)/sqrt(-b*x^8+a)-1/15*a^(11/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(7/4)/sqrt(-b*x^8+a),1],
[x^5*sqrt(-b*x^8+a),x,6,1/10*x^6*sqrt(-b*x^8+a)+1/5*a^(7/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(3/4)/sqrt(-b*x^8+a)-1/5*a^(7/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(3/4)/sqrt(-b*x^8+a),1],
[sqrt(-b*x^8+a)/x^3,x,6,-1/2*sqrt(-b*x^8+a)/x^2-a^(3/4)*b^(1/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/sqrt(-b*x^8+a)+a^(3/4)*b^(1/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/sqrt(-b*x^8+a),1],
[sqrt(-b*x^8+a)/x^11,x,7,-1/10*sqrt(-b*x^8+a)/x^10+1/5*b*sqrt(-b*x^8+a)/a/x^2+1/5*b^(5/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(1/4)/sqrt(-b*x^8+a)-1/5*b^(5/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(1/4)/sqrt(-b*x^8+a),1],
[sqrt(-b*x^8+a)/x^19,x,8,-1/18*sqrt(-b*x^8+a)/x^18+1/45*b*sqrt(-b*x^8+a)/a/x^10+1/15*b^2*sqrt(-b*x^8+a)/a^2/x^2+1/15*b^(9/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(5/4)/sqrt(-b*x^8+a)-1/15*b^(9/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(5/4)/sqrt(-b*x^8+a),1],
[x^24*sqrt(-b*x^8+a),x,2,1/25*x^25*sqrt(-b*x^8+a)*hypergeom([-1/2, 25/8],[33/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^16*sqrt(-b*x^8+a),x,2,1/17*x^17*sqrt(-b*x^8+a)*hypergeom([-1/2, 17/8],[25/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^8*sqrt(-b*x^8+a),x,2,1/9*x^9*sqrt(-b*x^8+a)*hypergeom([-1/2, 9/8],[17/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a),x,2,x*sqrt(-b*x^8+a)*hypergeom([-1/2, 1/8],[9/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^8,x,2,-1/7*sqrt(-b*x^8+a)*hypergeom([-7/8, -1/2],[1/8],b*x^8/a)/x^7/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^16,x,2,-1/15*sqrt(-b*x^8+a)*hypergeom([-15/8, -1/2],[-7/8],b*x^8/a)/x^15/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^24,x,2,-1/23*sqrt(-b*x^8+a)*hypergeom([-23/8, -1/2],[-15/8],b*x^8/a)/x^23/sqrt(1-b*x^8/a),1],
[x^26*sqrt(-b*x^8+a),x,2,1/27*x^27*sqrt(-b*x^8+a)*hypergeom([-1/2, 27/8],[35/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^18*sqrt(-b*x^8+a),x,2,1/19*x^19*sqrt(-b*x^8+a)*hypergeom([-1/2, 19/8],[27/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^10*sqrt(-b*x^8+a),x,2,1/11*x^11*sqrt(-b*x^8+a)*hypergeom([-1/2, 11/8],[19/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^2*sqrt(-b*x^8+a),x,2,1/3*x^3*sqrt(-b*x^8+a)*hypergeom([-1/2, 3/8],[11/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^6,x,2,-1/5*sqrt(-b*x^8+a)*hypergeom([-5/8, -1/2],[3/8],b*x^8/a)/x^5/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^14,x,2,-1/13*sqrt(-b*x^8+a)*hypergeom([-13/8, -1/2],[-5/8],b*x^8/a)/x^13/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^22,x,2,-1/21*sqrt(-b*x^8+a)*hypergeom([-21/8, -1/2],[-13/8],b*x^8/a)/x^21/sqrt(1-b*x^8/a),1],
[x^20*sqrt(-b*x^8+a),x,2,1/21*x^21*sqrt(-b*x^8+a)*hypergeom([-1/2, 21/8],[29/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^12*sqrt(-b*x^8+a),x,2,1/13*x^13*sqrt(-b*x^8+a)*hypergeom([-1/2, 13/8],[21/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^4*sqrt(-b*x^8+a),x,2,1/5*x^5*sqrt(-b*x^8+a)*hypergeom([-1/2, 5/8],[13/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^4,x,2,-1/3*sqrt(-b*x^8+a)*hypergeom([-1/2, -3/8],[5/8],b*x^8/a)/x^3/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^12,x,2,-1/11*sqrt(-b*x^8+a)*hypergeom([-11/8, -1/2],[-3/8],b*x^8/a)/x^11/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^20,x,2,-1/19*sqrt(-b*x^8+a)*hypergeom([-19/8, -1/2],[-11/8],b*x^8/a)/x^19/sqrt(1-b*x^8/a),1],
[x^22*sqrt(-b*x^8+a),x,2,1/23*x^23*sqrt(-b*x^8+a)*hypergeom([-1/2, 23/8],[31/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^14*sqrt(-b*x^8+a),x,2,1/15*x^15*sqrt(-b*x^8+a)*hypergeom([-1/2, 15/8],[23/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[x^6*sqrt(-b*x^8+a),x,2,1/7*x^7*sqrt(-b*x^8+a)*hypergeom([-1/2, 7/8],[15/8],b*x^8/a)/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^2,x,2,-sqrt(-b*x^8+a)*hypergeom([-1/2, -1/8],[7/8],b*x^8/a)/x/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^10,x,2,-1/9*sqrt(-b*x^8+a)*hypergeom([-9/8, -1/2],[-1/8],b*x^8/a)/x^9/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^18,x,2,-1/17*sqrt(-b*x^8+a)*hypergeom([-17/8, -1/2],[-9/8],b*x^8/a)/x^17/sqrt(1-b*x^8/a),1],
[sqrt(-b*x^8+a)/x^26,x,2,-1/25*sqrt(-b*x^8+a)*hypergeom([-25/8, -1/2],[-17/8],b*x^8/a)/x^25/sqrt(1-b*x^8/a),1],
[x^31/sqrt(-b*x^8+a),x,3,-1/4*a^3*sqrt(-b*x^8+a)/b^4+1/4*a^2*(-b*x^8+a)^(3/2)/b^4-3/20*a*(-b*x^8+a)^(5/2)/b^4+1/28*(-b*x^8+a)^(7/2)/b^4,1],
[x^23/sqrt(-b*x^8+a),x,3,-1/4*a^2*sqrt(-b*x^8+a)/b^3+1/6*a*(-b*x^8+a)^(3/2)/b^3-1/20*(-b*x^8+a)^(5/2)/b^3,1],
[x^15/sqrt(-b*x^8+a),x,3,-1/4*a*sqrt(-b*x^8+a)/b^2+1/12*(-b*x^8+a)^(3/2)/b^2,1],
[x^7/sqrt(-b*x^8+a),x,1,-1/4*sqrt(-b*x^8+a)/b,1],
[1/x/sqrt(-b*x^8+a),x,2,-1/4*arctanh(sqrt(-b*x^8+a)/sqrt(a))/sqrt(a),1],
[1/x^9/sqrt(-b*x^8+a),x,4,-1/8*sqrt(-b*x^8+a)/a/x^8-1/8*b*arctanh(sqrt(-b*x^8+a)/sqrt(a))/a^(3/2),1],
[1/x^17/sqrt(-b*x^8+a),x,5,-1/16*sqrt(-b*x^8+a)/a/x^16-3/32*b*sqrt(-b*x^8+a)/a^2/x^8-3/32*b^2*arctanh(sqrt(-b*x^8+a)/sqrt(a))/a^(5/2),1],
[x^27/sqrt(-b*x^8+a),x,6,-5/64*a^2*x^4*sqrt(-b*x^8+a)/b^3-5/96*a*x^12*sqrt(-b*x^8+a)/b^2-1/24*x^20*sqrt(-b*x^8+a)/b+5/64*a^3*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(7/2),1],
[x^19/sqrt(-b*x^8+a),x,5,-3/32*a*x^4*sqrt(-b*x^8+a)/b^2-1/16*x^12*sqrt(-b*x^8+a)/b+3/32*a^2*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(5/2),1],
[x^11/sqrt(-b*x^8+a),x,4,-1/8*x^4*sqrt(-b*x^8+a)/b+1/8*a*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(3/2),1],
[x^3/sqrt(-b*x^8+a),x,3,1/4*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/sqrt(b),1],
[1/x^5/sqrt(-b*x^8+a),x,1,-1/4*sqrt(-b*x^8+a)/a/x^4,1],
[1/x^13/sqrt(-b*x^8+a),x,2,-1/12*sqrt(-b*x^8+a)/a/x^12-1/6*b*sqrt(-b*x^8+a)/a^2/x^4,1],
[1/x^21/sqrt(-b*x^8+a),x,3,-1/20*sqrt(-b*x^8+a)/a/x^20-1/15*b*sqrt(-b*x^8+a)/a^2/x^12-2/15*b^2*sqrt(-b*x^8+a)/a^3/x^4,1],
[1/x^29/sqrt(-b*x^8+a),x,4,-1/28*sqrt(-b*x^8+a)/a/x^28-3/70*b*sqrt(-b*x^8+a)/a^2/x^20-2/35*b^2*sqrt(-b*x^8+a)/a^3/x^12-4/35*b^3*sqrt(-b*x^8+a)/a^4/x^4,1],
[x^25/sqrt(-b*x^8+a),x,6,-15/154*a^2*x^2*sqrt(-b*x^8+a)/b^3-9/154*a*x^10*sqrt(-b*x^8+a)/b^2-1/22*x^18*sqrt(-b*x^8+a)/b+15/154*a^(13/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(13/4)/sqrt(-b*x^8+a),1],
[x^17/sqrt(-b*x^8+a),x,5,-5/42*a*x^2*sqrt(-b*x^8+a)/b^2-1/14*x^10*sqrt(-b*x^8+a)/b+5/42*a^(9/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(9/4)/sqrt(-b*x^8+a),1],
[x^9/sqrt(-b*x^8+a),x,4,-1/6*x^2*sqrt(-b*x^8+a)/b+1/6*a^(5/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(5/4)/sqrt(-b*x^8+a),1],
[x/sqrt(-b*x^8+a),x,3,1/2*a^(1/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(1/4)/sqrt(-b*x^8+a),1],
[1/x^7/sqrt(-b*x^8+a),x,4,-1/6*sqrt(-b*x^8+a)/a/x^6+1/6*b^(3/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(3/4)/sqrt(-b*x^8+a),1],
[1/x^15/sqrt(-b*x^8+a),x,5,-1/14*sqrt(-b*x^8+a)/a/x^14-5/42*b*sqrt(-b*x^8+a)/a^2/x^6+5/42*b^(7/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(7/4)/sqrt(-b*x^8+a),1],
[1/x^23/sqrt(-b*x^8+a),x,6,-1/22*sqrt(-b*x^8+a)/a/x^22-9/154*b*sqrt(-b*x^8+a)/a^2/x^14-15/154*b^2*sqrt(-b*x^8+a)/a^3/x^6+15/154*b^(11/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(11/4)/sqrt(-b*x^8+a),1],
[x^29/sqrt(-b*x^8+a),x,8,-77/1170*a^2*x^6*sqrt(-b*x^8+a)/b^3-11/234*a*x^14*sqrt(-b*x^8+a)/b^2-1/26*x^22*sqrt(-b*x^8+a)/b+77/390*a^(15/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(15/4)/sqrt(-b*x^8+a)-77/390*a^(15/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(15/4)/sqrt(-b*x^8+a),1],
[x^21/sqrt(-b*x^8+a),x,7,-7/90*a*x^6*sqrt(-b*x^8+a)/b^2-1/18*x^14*sqrt(-b*x^8+a)/b+7/30*a^(11/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(11/4)/sqrt(-b*x^8+a)-7/30*a^(11/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(11/4)/sqrt(-b*x^8+a),1],
[x^13/sqrt(-b*x^8+a),x,6,-1/10*x^6*sqrt(-b*x^8+a)/b+3/10*a^(7/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(7/4)/sqrt(-b*x^8+a)-3/10*a^(7/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(7/4)/sqrt(-b*x^8+a),1],
[x^5/sqrt(-b*x^8+a),x,5,1/2*a^(3/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(3/4)/sqrt(-b*x^8+a)-1/2*a^(3/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(3/4)/sqrt(-b*x^8+a),1],
[1/x^3/sqrt(-b*x^8+a),x,6,-1/2*sqrt(-b*x^8+a)/a/x^2-1/2*b^(1/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(1/4)/sqrt(-b*x^8+a)+1/2*b^(1/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(1/4)/sqrt(-b*x^8+a),1],
[1/x^11/sqrt(-b*x^8+a),x,7,-1/10*sqrt(-b*x^8+a)/a/x^10-3/10*b*sqrt(-b*x^8+a)/a^2/x^2-3/10*b^(5/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(5/4)/sqrt(-b*x^8+a)+3/10*b^(5/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(5/4)/sqrt(-b*x^8+a),1],
[1/x^19/sqrt(-b*x^8+a),x,8,-1/18*sqrt(-b*x^8+a)/a/x^18-7/90*b*sqrt(-b*x^8+a)/a^2/x^10-7/30*b^2*sqrt(-b*x^8+a)/a^3/x^2-7/30*b^(9/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(9/4)/sqrt(-b*x^8+a)+7/30*b^(9/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(9/4)/sqrt(-b*x^8+a),1],
[x^24/sqrt(-b*x^8+a),x,2,1/25*x^25*sqrt(1-b*x^8/a)*hypergeom([1/2, 25/8],[33/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^16/sqrt(-b*x^8+a),x,2,1/17*x^17*sqrt(1-b*x^8/a)*hypergeom([1/2, 17/8],[25/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^8/sqrt(-b*x^8+a),x,2,1/9*x^9*sqrt(1-b*x^8/a)*hypergeom([1/2, 9/8],[17/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[1/sqrt(-b*x^8+a),x,2,x*sqrt(1-b*x^8/a)*hypergeom([1/8, 1/2],[9/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[1/x^8/sqrt(-b*x^8+a),x,2,-1/7*sqrt(1-b*x^8/a)*hypergeom([-7/8, 1/2],[1/8],b*x^8/a)/x^7/sqrt(-b*x^8+a),1],
[1/x^16/sqrt(-b*x^8+a),x,2,-1/15*sqrt(1-b*x^8/a)*hypergeom([-15/8, 1/2],[-7/8],b*x^8/a)/x^15/sqrt(-b*x^8+a),1],
[1/x^24/sqrt(-b*x^8+a),x,2,-1/23*sqrt(1-b*x^8/a)*hypergeom([-23/8, 1/2],[-15/8],b*x^8/a)/x^23/sqrt(-b*x^8+a),1],
[x^26/sqrt(-b*x^8+a),x,2,1/27*x^27*sqrt(1-b*x^8/a)*hypergeom([1/2, 27/8],[35/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^18/sqrt(-b*x^8+a),x,2,1/19*x^19*sqrt(1-b*x^8/a)*hypergeom([1/2, 19/8],[27/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^10/sqrt(-b*x^8+a),x,2,1/11*x^11*sqrt(1-b*x^8/a)*hypergeom([1/2, 11/8],[19/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^2/sqrt(-b*x^8+a),x,2,1/3*x^3*sqrt(1-b*x^8/a)*hypergeom([3/8, 1/2],[11/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[1/x^6/sqrt(-b*x^8+a),x,2,-1/5*sqrt(1-b*x^8/a)*hypergeom([-5/8, 1/2],[3/8],b*x^8/a)/x^5/sqrt(-b*x^8+a),1],
[1/x^14/sqrt(-b*x^8+a),x,2,-1/13*sqrt(1-b*x^8/a)*hypergeom([-13/8, 1/2],[-5/8],b*x^8/a)/x^13/sqrt(-b*x^8+a),1],
[1/x^22/sqrt(-b*x^8+a),x,2,-1/21*sqrt(1-b*x^8/a)*hypergeom([-21/8, 1/2],[-13/8],b*x^8/a)/x^21/sqrt(-b*x^8+a),1],
[x^28/sqrt(-b*x^8+a),x,2,1/29*x^29*sqrt(1-b*x^8/a)*hypergeom([1/2, 29/8],[37/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^20/sqrt(-b*x^8+a),x,2,1/21*x^21*sqrt(1-b*x^8/a)*hypergeom([1/2, 21/8],[29/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^12/sqrt(-b*x^8+a),x,2,1/13*x^13*sqrt(1-b*x^8/a)*hypergeom([1/2, 13/8],[21/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^4/sqrt(-b*x^8+a),x,2,1/5*x^5*sqrt(1-b*x^8/a)*hypergeom([1/2, 5/8],[13/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[1/x^4/sqrt(-b*x^8+a),x,2,-1/3*sqrt(1-b*x^8/a)*hypergeom([-3/8, 1/2],[5/8],b*x^8/a)/x^3/sqrt(-b*x^8+a),1],
[1/x^12/sqrt(-b*x^8+a),x,2,-1/11*sqrt(1-b*x^8/a)*hypergeom([-11/8, 1/2],[-3/8],b*x^8/a)/x^11/sqrt(-b*x^8+a),1],
[1/x^20/sqrt(-b*x^8+a),x,2,-1/19*sqrt(1-b*x^8/a)*hypergeom([-19/8, 1/2],[-11/8],b*x^8/a)/x^19/sqrt(-b*x^8+a),1],
[x^22/sqrt(-b*x^8+a),x,2,1/23*x^23*sqrt(1-b*x^8/a)*hypergeom([1/2, 23/8],[31/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^14/sqrt(-b*x^8+a),x,2,1/15*x^15*sqrt(1-b*x^8/a)*hypergeom([1/2, 15/8],[23/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[x^6/sqrt(-b*x^8+a),x,2,1/7*x^7*sqrt(1-b*x^8/a)*hypergeom([1/2, 7/8],[15/8],b*x^8/a)/sqrt(-b*x^8+a),1],
[1/x^2/sqrt(-b*x^8+a),x,2,-sqrt(1-b*x^8/a)*hypergeom([-1/8, 1/2],[7/8],b*x^8/a)/x/sqrt(-b*x^8+a),1],
[1/x^10/sqrt(-b*x^8+a),x,2,-1/9*sqrt(1-b*x^8/a)*hypergeom([-9/8, 1/2],[-1/8],b*x^8/a)/x^9/sqrt(-b*x^8+a),1],
[1/x^18/sqrt(-b*x^8+a),x,2,-1/17*sqrt(1-b*x^8/a)*hypergeom([-17/8, 1/2],[-9/8],b*x^8/a)/x^17/sqrt(-b*x^8+a),1],
[1/x^26/sqrt(-b*x^8+a),x,2,-1/25*sqrt(1-b*x^8/a)*hypergeom([-25/8, 1/2],[-17/8],b*x^8/a)/x^25/sqrt(-b*x^8+a),1],
[x^31/(-b*x^8+a)^(3/2),x,3,1/4*a^3/b^4/sqrt(-b*x^8+a)+3/4*a^2*sqrt(-b*x^8+a)/b^4-1/4*a*(-b*x^8+a)^(3/2)/b^4+1/20*(-b*x^8+a)^(5/2)/b^4,1],
[x^23/(-b*x^8+a)^(3/2),x,3,1/4*a^2/b^3/sqrt(-b*x^8+a)+1/2*a*sqrt(-b*x^8+a)/b^3-1/12*(-b*x^8+a)^(3/2)/b^3,1],
[x^15/(-b*x^8+a)^(3/2),x,3,1/4*a/b^2/sqrt(-b*x^8+a)+1/4*sqrt(-b*x^8+a)/b^2,1],
[x^7/(-b*x^8+a)^(3/2),x,1,1/4/b/sqrt(-b*x^8+a),1],
[1/x/(-b*x^8+a)^(3/2),x,4,1/4/a/sqrt(-b*x^8+a)-1/4*arctanh(sqrt(-b*x^8+a)/sqrt(a))/a^(3/2),1],
[1/x^9/(-b*x^8+a)^(3/2),x,5,3/8*b/a^2/sqrt(-b*x^8+a)-1/8/a/x^8/sqrt(-b*x^8+a)-3/8*b*arctanh(sqrt(-b*x^8+a)/sqrt(a))/a^(5/2),1],
[1/x^17/(-b*x^8+a)^(3/2),x,6,15/32*b^2/a^3/sqrt(-b*x^8+a)-1/16/a/x^16/sqrt(-b*x^8+a)-5/32*b/a^2/x^8/sqrt(-b*x^8+a)-15/32*b^2*arctanh(sqrt(-b*x^8+a)/sqrt(a))/a^(7/2),1],
[x^27/(-b*x^8+a)^(3/2),x,6,1/4*x^20/b/sqrt(-b*x^8+a)+15/32*a*x^4*sqrt(-b*x^8+a)/b^3+5/16*x^12*sqrt(-b*x^8+a)/b^2-15/32*a^2*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(7/2),1],
[x^19/(-b*x^8+a)^(3/2),x,5,1/4*x^12/b/sqrt(-b*x^8+a)+3/8*x^4*sqrt(-b*x^8+a)/b^2-3/8*a*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(5/2),1],
[x^11/(-b*x^8+a)^(3/2),x,4,1/4*x^4/b/sqrt(-b*x^8+a)-1/4*arctan(sqrt(b)*x^4/sqrt(-b*x^8+a))/b^(3/2),1],
[x^3/(-b*x^8+a)^(3/2),x,2,1/4*x^4/a/sqrt(-b*x^8+a),1],
[1/x^5/(-b*x^8+a)^(3/2),x,2,1/4/a/x^4/sqrt(-b*x^8+a)-1/2*sqrt(-b*x^8+a)/a^2/x^4,1],
[1/x^13/(-b*x^8+a)^(3/2),x,3,1/4/a/x^12/sqrt(-b*x^8+a)-1/3*sqrt(-b*x^8+a)/a^2/x^12-2/3*b*sqrt(-b*x^8+a)/a^3/x^4,1],
[1/x^21/(-b*x^8+a)^(3/2),x,4,1/4/a/x^20/sqrt(-b*x^8+a)-3/10*sqrt(-b*x^8+a)/a^2/x^20-2/5*b*sqrt(-b*x^8+a)/a^3/x^12-4/5*b^2*sqrt(-b*x^8+a)/a^4/x^4,1],
[1/x^29/(-b*x^8+a)^(3/2),x,5,1/4/a/x^28/sqrt(-b*x^8+a)-2/7*sqrt(-b*x^8+a)/a^2/x^28-12/35*b*sqrt(-b*x^8+a)/a^3/x^20-16/35*b^2*sqrt(-b*x^8+a)/a^4/x^12-32/35*b^3*sqrt(-b*x^8+a)/a^5/x^4,1],
[x^25/(-b*x^8+a)^(3/2),x,6,1/4*x^18/b/sqrt(-b*x^8+a)+15/28*a*x^2*sqrt(-b*x^8+a)/b^3+9/28*x^10*sqrt(-b*x^8+a)/b^2-15/28*a^(9/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(13/4)/sqrt(-b*x^8+a),1],
[x^17/(-b*x^8+a)^(3/2),x,5,1/4*x^10/b/sqrt(-b*x^8+a)+5/12*x^2*sqrt(-b*x^8+a)/b^2-5/12*a^(5/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(9/4)/sqrt(-b*x^8+a),1],
[x^9/(-b*x^8+a)^(3/2),x,4,1/4*x^2/b/sqrt(-b*x^8+a)-1/4*a^(1/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(5/4)/sqrt(-b*x^8+a),1],
[x/(-b*x^8+a)^(3/2),x,4,1/4*x^2/a/sqrt(-b*x^8+a)+1/4*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(3/4)/b^(1/4)/sqrt(-b*x^8+a),1],
[1/x^7/(-b*x^8+a)^(3/2),x,5,1/4/a/x^6/sqrt(-b*x^8+a)-5/12*sqrt(-b*x^8+a)/a^2/x^6+5/12*b^(3/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(7/4)/sqrt(-b*x^8+a),1],
[1/x^15/(-b*x^8+a)^(3/2),x,6,1/4/a/x^14/sqrt(-b*x^8+a)-9/28*sqrt(-b*x^8+a)/a^2/x^14-15/28*b*sqrt(-b*x^8+a)/a^3/x^6+15/28*b^(7/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(11/4)/sqrt(-b*x^8+a),1],
[1/x^23/(-b*x^8+a)^(3/2),x,7,1/4/a/x^22/sqrt(-b*x^8+a)-13/44*sqrt(-b*x^8+a)/a^2/x^22-117/308*b*sqrt(-b*x^8+a)/a^3/x^14-195/308*b^2*sqrt(-b*x^8+a)/a^4/x^6+195/308*b^(11/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(15/4)/sqrt(-b*x^8+a),1],
[x^29/(-b*x^8+a)^(3/2),x,8,1/4*x^22/b/sqrt(-b*x^8+a)+77/180*a*x^6*sqrt(-b*x^8+a)/b^3+11/36*x^14*sqrt(-b*x^8+a)/b^2-77/60*a^(11/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(15/4)/sqrt(-b*x^8+a)+77/60*a^(11/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(15/4)/sqrt(-b*x^8+a),1],
[x^21/(-b*x^8+a)^(3/2),x,7,1/4*x^14/b/sqrt(-b*x^8+a)+7/20*x^6*sqrt(-b*x^8+a)/b^2-21/20*a^(7/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(11/4)/sqrt(-b*x^8+a)+21/20*a^(7/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(11/4)/sqrt(-b*x^8+a),1],
[x^13/(-b*x^8+a)^(3/2),x,6,1/4*x^6/b/sqrt(-b*x^8+a)-3/4*a^(3/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/b^(7/4)/sqrt(-b*x^8+a)+3/4*a^(3/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/b^(7/4)/sqrt(-b*x^8+a),1],
[x^5/(-b*x^8+a)^(3/2),x,6,1/4*x^6/a/sqrt(-b*x^8+a)-1/4*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(1/4)/b^(3/4)/sqrt(-b*x^8+a)+1/4*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(1/4)/b^(3/4)/sqrt(-b*x^8+a),1],
[1/x^3/(-b*x^8+a)^(3/2),x,7,1/4/a/x^2/sqrt(-b*x^8+a)-3/4*sqrt(-b*x^8+a)/a^2/x^2-3/4*b^(1/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(5/4)/sqrt(-b*x^8+a)+3/4*b^(1/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(5/4)/sqrt(-b*x^8+a),1],
[1/x^11/(-b*x^8+a)^(3/2),x,8,1/4/a/x^10/sqrt(-b*x^8+a)-7/20*sqrt(-b*x^8+a)/a^2/x^10-21/20*b*sqrt(-b*x^8+a)/a^3/x^2-21/20*b^(5/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(9/4)/sqrt(-b*x^8+a)+21/20*b^(5/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(9/4)/sqrt(-b*x^8+a),1],
[1/x^19/(-b*x^8+a)^(3/2),x,9,1/4/a/x^18/sqrt(-b*x^8+a)-11/36*sqrt(-b*x^8+a)/a^2/x^18-77/180*b*sqrt(-b*x^8+a)/a^3/x^10-77/60*b^2*sqrt(-b*x^8+a)/a^4/x^2-77/60*b^(9/4)*sqrt(1-b*x^8/a)*EllipticE(sin(arcsin(b^(1/4)*x^2/a^(1/4))),sqrt(-1))/a^(13/4)/sqrt(-b*x^8+a)+77/60*b^(9/4)*sqrt(1-b*x^8/a)*InverseJacobiAM(arcsin(b^(1/4)*x^2/a^(1/4)),sqrt(-1))/a^(13/4)/sqrt(-b*x^8+a),1],
[x^24/(-b*x^8+a)^(3/2),x,2,1/25*x^25*sqrt(1-b*x^8/a)*hypergeom([3/2, 25/8],[33/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^16/(-b*x^8+a)^(3/2),x,2,1/17*x^17*sqrt(1-b*x^8/a)*hypergeom([3/2, 17/8],[25/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^8/(-b*x^8+a)^(3/2),x,2,1/9*x^9*sqrt(1-b*x^8/a)*hypergeom([9/8, 3/2],[17/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[1/(-b*x^8+a)^(3/2),x,2,x*sqrt(1-b*x^8/a)*hypergeom([1/8, 3/2],[9/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[1/x^8/(-b*x^8+a)^(3/2),x,2,-1/7*sqrt(1-b*x^8/a)*hypergeom([-7/8, 3/2],[1/8],b*x^8/a)/a/x^7/sqrt(-b*x^8+a),1],
[1/x^16/(-b*x^8+a)^(3/2),x,2,-1/15*sqrt(1-b*x^8/a)*hypergeom([-15/8, 3/2],[-7/8],b*x^8/a)/a/x^15/sqrt(-b*x^8+a),1],
[1/x^24/(-b*x^8+a)^(3/2),x,2,-1/23*sqrt(1-b*x^8/a)*hypergeom([-23/8, 3/2],[-15/8],b*x^8/a)/a/x^23/sqrt(-b*x^8+a),1],
[x^26/(-b*x^8+a)^(3/2),x,2,1/27*x^27*sqrt(1-b*x^8/a)*hypergeom([3/2, 27/8],[35/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^18/(-b*x^8+a)^(3/2),x,2,1/19*x^19*sqrt(1-b*x^8/a)*hypergeom([3/2, 19/8],[27/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^10/(-b*x^8+a)^(3/2),x,2,1/11*x^11*sqrt(1-b*x^8/a)*hypergeom([11/8, 3/2],[19/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^2/(-b*x^8+a)^(3/2),x,2,1/3*x^3*sqrt(1-b*x^8/a)*hypergeom([3/8, 3/2],[11/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[1/x^6/(-b*x^8+a)^(3/2),x,2,-1/5*sqrt(1-b*x^8/a)*hypergeom([-5/8, 3/2],[3/8],b*x^8/a)/a/x^5/sqrt(-b*x^8+a),1],
[1/x^14/(-b*x^8+a)^(3/2),x,2,-1/13*sqrt(1-b*x^8/a)*hypergeom([-13/8, 3/2],[-5/8],b*x^8/a)/a/x^13/sqrt(-b*x^8+a),1],
[1/x^22/(-b*x^8+a)^(3/2),x,2,-1/21*sqrt(1-b*x^8/a)*hypergeom([-21/8, 3/2],[-13/8],b*x^8/a)/a/x^21/sqrt(-b*x^8+a),1],
[x^28/(-b*x^8+a)^(3/2),x,2,1/29*x^29*sqrt(1-b*x^8/a)*hypergeom([3/2, 29/8],[37/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^20/(-b*x^8+a)^(3/2),x,2,1/21*x^21*sqrt(1-b*x^8/a)*hypergeom([3/2, 21/8],[29/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^12/(-b*x^8+a)^(3/2),x,2,1/13*x^13*sqrt(1-b*x^8/a)*hypergeom([3/2, 13/8],[21/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^4/(-b*x^8+a)^(3/2),x,2,1/5*x^5*sqrt(1-b*x^8/a)*hypergeom([5/8, 3/2],[13/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[1/x^4/(-b*x^8+a)^(3/2),x,2,-1/3*sqrt(1-b*x^8/a)*hypergeom([-3/8, 3/2],[5/8],b*x^8/a)/a/x^3/sqrt(-b*x^8+a),1],
[1/x^12/(-b*x^8+a)^(3/2),x,2,-1/11*sqrt(1-b*x^8/a)*hypergeom([-11/8, 3/2],[-3/8],b*x^8/a)/a/x^11/sqrt(-b*x^8+a),1],
[1/x^20/(-b*x^8+a)^(3/2),x,2,-1/19*sqrt(1-b*x^8/a)*hypergeom([-19/8, 3/2],[-11/8],b*x^8/a)/a/x^19/sqrt(-b*x^8+a),1],
[x^22/(-b*x^8+a)^(3/2),x,2,1/23*x^23*sqrt(1-b*x^8/a)*hypergeom([3/2, 23/8],[31/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^14/(-b*x^8+a)^(3/2),x,2,1/15*x^15*sqrt(1-b*x^8/a)*hypergeom([3/2, 15/8],[23/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[x^6/(-b*x^8+a)^(3/2),x,2,1/7*x^7*sqrt(1-b*x^8/a)*hypergeom([7/8, 3/2],[15/8],b*x^8/a)/a/sqrt(-b*x^8+a),1],
[1/x^2/(-b*x^8+a)^(3/2),x,2,-sqrt(1-b*x^8/a)*hypergeom([-1/8, 3/2],[7/8],b*x^8/a)/a/x/sqrt(-b*x^8+a),1],
[1/x^10/(-b*x^8+a)^(3/2),x,2,-1/9*sqrt(1-b*x^8/a)*hypergeom([-9/8, 3/2],[-1/8],b*x^8/a)/a/x^9/sqrt(-b*x^8+a),1],
[1/x^18/(-b*x^8+a)^(3/2),x,2,-1/17*sqrt(1-b*x^8/a)*hypergeom([-17/8, 3/2],[-9/8],b*x^8/a)/a/x^17/sqrt(-b*x^8+a),1],
[x^4/sqrt(-x^10+1),x,2,1/5*arcsin(x^5),1],
[x^4/sqrt(x^10-2),x,3,1/5*arctanh(x^5/sqrt(x^10-2)),1],
[x^5/(x^12+9),x,2,1/18*arctan(1/3*x^6),1],
[x^5/(-x^12+9),x,2,1/18*arctanh(1/3*x^6),1],
[x^5*sqrt(x^12+9),x,3,1/12*x^6*sqrt(x^12+9)+3/4*arcsinh(1/3*x^6),1]]: