lst:=[[x^2*(c*x^4+b*x^2),x,3,1/5*b*x^5+1/7*c*x^7,1],
[x*(c*x^4+b*x^2),x,4,1/4*b*x^4+1/6*c*x^6,1],
[c*x^4+b*x^2,x,1,1/3*b*x^3+1/5*c*x^5,1],
[(c*x^4+b*x^2)/x,x,2,1/4*(c*x^2+b)^2/c,1],
[(c*x^4+b*x^2)/x^2,x,2,b*x+1/3*c*x^3,1],
[(c*x^4+b*x^2)/x^3,x,4,1/2*c*x^2+b*ln(x),1],
[(c*x^4+b*x^2)/x^4,x,3,-b/x+c*x,1],
[(c*x^4+b*x^2)/x^5,x,4,-1/2*b/x^2+c*ln(x),1],
[(c*x^4+b*x^2)/x^6,x,3,-1/3*b/x^3-c/x,1],
[(c*x^4+b*x^2)/x^7,x,3,-1/4*(c*x^2+b)^2/b/x^4,1],
[(c*x^4+b*x^2)/x^8,x,3,-1/5*b/x^5-1/3*c/x^3,1],
[x*(c*x^4+b*x^2)^2,x,4,1/6*b^2*x^6+1/4*b*c*x^8+1/10*c^2*x^10,1],
[(c*x^4+b*x^2)^2/x,x,4,1/4*b^2*x^4+1/3*b*c*x^6+1/8*c^2*x^8,1],
[(c*x^4+b*x^2)^2/x^3,x,2,1/6*(c*x^2+b)^3/c,1],
[(c*x^4+b*x^2)^2/x^5,x,4,b*c*x^2+1/4*c^2*x^4+b^2*ln(x),1],
[(c*x^4+b*x^2)^2/x^7,x,4,-1/2*b^2/x^2+1/2*c^2*x^2+2*b*c*ln(x),1],
[(c*x^4+b*x^2)^2/x^9,x,4,-1/4*b^2/x^4-b*c/x^2+c^2*ln(x),1],
[(c*x^4+b*x^2)^2/x^11,x,2,-1/6*(c*x^2+b)^3/b/x^6,1],
[(c*x^4+b*x^2)^2/x^13,x,4,-1/8*b^2/x^8-1/3*b*c/x^6-1/4*c^2/x^4,1],
[(c*x^4+b*x^2)^2,x,3,1/5*b^2*x^5+2/7*b*c*x^7+1/9*c^2*x^9,1],
[(c*x^4+b*x^2)^2/x^2,x,3,1/3*b^2*x^3+2/5*b*c*x^5+1/7*c^2*x^7,1],
[(c*x^4+b*x^2)^2/x^4,x,3,b^2*x+2/3*b*c*x^3+1/5*c^2*x^5,1],
[(c*x^4+b*x^2)^2/x^6,x,3,-b^2/x+2*b*c*x+1/3*c^2*x^3,1],
[(c*x^4+b*x^2)^2/x^8,x,3,-1/3*b^2/x^3-2*b*c/x+c^2*x,1],
[(c*x^4+b*x^2)^2/x^10,x,3,-1/5*b^2/x^5-2/3*b*c/x^3-c^2/x,1],
[(c*x^4+b*x^2)^2/x^12,x,3,-1/7*b^2/x^7-2/5*b*c/x^5-1/3*c^2/x^3,1],
[(c*x^4+b*x^2)^3/x,x,4,1/6*b^3*x^6+3/8*b^2*c*x^8+3/10*b*c^2*x^10+1/12*c^3*x^12,1],
[(c*x^4+b*x^2)^3/x^3,x,4,-1/8*b*(c*x^2+b)^4/c^2+1/10*(c*x^2+b)^5/c^2,1],
[(c*x^4+b*x^2)^3/x^5,x,2,1/8*(c*x^2+b)^4/c,1],
[(c*x^4+b*x^2)^3/x^7,x,4,3/2*b^2*c*x^2+3/4*b*c^2*x^4+1/6*c^3*x^6+b^3*ln(x),1],
[(c*x^4+b*x^2)^3/x^9,x,4,-1/2*b^3/x^2+3/2*b*c^2*x^2+1/4*c^3*x^4+3*b^2*c*ln(x),1],
[(c*x^4+b*x^2)^3/x^11,x,4,-1/4*b^3/x^4-3/2*b^2*c/x^2+1/2*c^3*x^2+3*b*c^2*ln(x),1],
[(c*x^4+b*x^2)^3/x^13,x,4,-1/6*b^3/x^6-3/4*b^2*c/x^4-3/2*b*c^2/x^2+c^3*ln(x),1],
[(c*x^4+b*x^2)^3/x^15,x,2,-1/8*(c*x^2+b)^4/b/x^8,1],
[(c*x^4+b*x^2)^3/x^17,x,4,-1/10*(c*x^2+b)^4/b/x^10+1/40*c*(c*x^2+b)^4/b^2/x^8,1],
[(c*x^4+b*x^2)^3/x^19,x,4,-1/12*b^3/x^12-3/10*b^2*c/x^10-3/8*b*c^2/x^8-1/6*c^3/x^6,1],
[(c*x^4+b*x^2)^3/x^2,x,3,1/5*b^3*x^5+3/7*b^2*c*x^7+1/3*b*c^2*x^9+1/11*c^3*x^11,1],
[(c*x^4+b*x^2)^3/x^4,x,3,1/3*b^3*x^3+3/5*b^2*c*x^5+3/7*b*c^2*x^7+1/9*c^3*x^9,1],
[(c*x^4+b*x^2)^3/x^6,x,3,b^3*x+b^2*c*x^3+3/5*b*c^2*x^5+1/7*c^3*x^7,1],
[(c*x^4+b*x^2)^3/x^8,x,3,-b^3/x+3*b^2*c*x+b*c^2*x^3+1/5*c^3*x^5,1],
[(c*x^4+b*x^2)^3/x^10,x,3,-1/3*b^3/x^3-3*b^2*c/x+3*b*c^2*x+1/3*c^3*x^3,1],
[(c*x^4+b*x^2)^3/x^12,x,3,-1/5*b^3/x^5-b^2*c/x^3-3*b*c^2/x+c^3*x,1],
[(c*x^4+b*x^2)^3/x^14,x,3,-1/7*b^3/x^7-3/5*b^2*c/x^5-b*c^2/x^3-c^3/x,1],
[(c*x^4+b*x^2)^3/x^16,x,3,-1/9*b^3/x^9-3/7*b^2*c/x^7-3/5*b*c^2/x^5-1/3*c^3/x^3,1],
[x^9/(c*x^4+b*x^2),x,4,1/2*b^2*x^2/c^3-1/4*b*x^4/c^2+1/6*x^6/c-1/2*b^3*ln(c*x^2+b)/c^4,1],
[x^7/(c*x^4+b*x^2),x,4,-1/2*b*x^2/c^2+1/4*x^4/c+1/2*b^2*ln(c*x^2+b)/c^3,1],
[x^5/(c*x^4+b*x^2),x,4,1/2*x^2/c-1/2*b*ln(c*x^2+b)/c^2,1],
[x^3/(c*x^4+b*x^2),x,2,1/2*ln(c*x^2+b)/c,1],
[x/(c*x^4+b*x^2),x,5,ln(x)/b-1/2*ln(c*x^2+b)/b,1],
[1/x/(c*x^4+b*x^2),x,4,-1/2/b/x^2-c*ln(x)/b^2+1/2*c*ln(c*x^2+b)/b^2,1],
[1/x^3/(c*x^4+b*x^2),x,4,-1/4/b/x^4+1/2*c/b^2/x^2+c^2*ln(x)/b^3-1/2*c^2*ln(c*x^2+b)/b^3,1],
[x^10/(c*x^4+b*x^2),x,4,-b^3*x/c^4+1/3*b^2*x^3/c^3-1/5*b*x^5/c^2+1/7*x^7/c+b^(7/2)*arctan(sqrt(c)*x/sqrt(b))/c^(9/2),1],
[x^8/(c*x^4+b*x^2),x,4,b^2*x/c^3-1/3*b*x^3/c^2+1/5*x^5/c-b^(5/2)*arctan(sqrt(c)*x/sqrt(b))/c^(7/2),1],
[x^6/(c*x^4+b*x^2),x,4,-b*x/c^2+1/3*x^3/c+b^(3/2)*arctan(sqrt(c)*x/sqrt(b))/c^(5/2),1],
[x^4/(c*x^4+b*x^2),x,3,x/c-sqrt(b)*arctan(sqrt(c)*x/sqrt(b))/c^(3/2),1],
[x^2/(c*x^4+b*x^2),x,2,arctan(sqrt(c)*x/sqrt(b))/sqrt(b)/sqrt(c),1],
[1/(c*x^4+b*x^2),x,3,-1/b/x-sqrt(c)*arctan(sqrt(c)*x/sqrt(b))/b^(3/2),1],
[1/x^2/(c*x^4+b*x^2),x,4,-1/3/b/x^3+c/b^2/x+c^(3/2)*arctan(sqrt(c)*x/sqrt(b))/b^(5/2),1],
[1/x^4/(c*x^4+b*x^2),x,5,-1/5/b/x^5+1/3*c/b^2/x^3-c^2/b^3/x-c^(5/2)*arctan(sqrt(c)*x/sqrt(b))/b^(7/2),1],
[x^11/(c*x^4+b*x^2)^2,x,4,-b*x^2/c^3+1/4*x^4/c^2+1/2*b^3/c^4/(c*x^2+b)+3/2*b^2*ln(c*x^2+b)/c^4,1],
[x^9/(c*x^4+b*x^2)^2,x,4,1/2*x^2/c^2-1/2*b^2/c^3/(c*x^2+b)-b*ln(c*x^2+b)/c^3,1],
[x^7/(c*x^4+b*x^2)^2,x,4,1/2*b/c^2/(c*x^2+b)+1/2*ln(c*x^2+b)/c^2,1],
[x^5/(c*x^4+b*x^2)^2,x,2,-1/2/c/(c*x^2+b),1],
[x^3/(c*x^4+b*x^2)^2,x,4,1/2/b/(c*x^2+b)+ln(x)/b^2-1/2*ln(c*x^2+b)/b^2,1],
[x/(c*x^4+b*x^2)^2,x,4,-1/2/b^2/x^2-1/2*c/b^2/(c*x^2+b)-2*c*ln(x)/b^3+c*ln(c*x^2+b)/b^3,1],
[1/x/(c*x^4+b*x^2)^2,x,4,-1/4/b^2/x^4+c/b^3/x^2+1/2*c^2/b^3/(c*x^2+b)+3*c^2*ln(x)/b^4-3/2*c^2*ln(c*x^2+b)/b^4,1],
[x^12/(c*x^4+b*x^2)^2,x,5,3*b^2*x/c^4-2/3*b*x^3/c^3+1/5*x^5/c^2+1/2*b^3*x/c^4/(c*x^2+b)-7/2*b^(5/2)*arctan(sqrt(c)*x/sqrt(b))/c^(9/2),1],
[x^10/(c*x^4+b*x^2)^2,x,5,-2*b*x/c^3+1/3*x^3/c^2-1/2*b^2*x/c^3/(c*x^2+b)+5/2*b^(3/2)*arctan(sqrt(c)*x/sqrt(b))/c^(7/2),1],
[x^8/(c*x^4+b*x^2)^2,x,5,x/c^2+1/2*b*x/c^2/(c*x^2+b)-3/2*sqrt(b)*arctan(sqrt(c)*x/sqrt(b))/c^(5/2),1],
[x^6/(c*x^4+b*x^2)^2,x,3,-1/2*x/c/(c*x^2+b)+1/2*arctan(sqrt(c)*x/sqrt(b))/sqrt(b)/c^(3/2),1],
[x^4/(c*x^4+b*x^2)^2,x,3,1/2*x/b/(c*x^2+b)+1/2*arctan(sqrt(c)*x/sqrt(b))/b^(3/2)/sqrt(c),1],
[x^2/(c*x^4+b*x^2)^2,x,4,-1/b^2/x-1/2*c*x/b^2/(c*x^2+b)-3/2*sqrt(c)*arctan(sqrt(c)*x/sqrt(b))/b^(5/2),1],
[1/(c*x^4+b*x^2)^2,x,5,-1/3/b^2/x^3+2*c/b^3/x+1/2*c^2*x/b^3/(c*x^2+b)+5/2*c^(3/2)*arctan(sqrt(c)*x/sqrt(b))/b^(7/2),1],
[1/x^2/(c*x^4+b*x^2)^2,x,5,-1/5/b^2/x^5+2/3*c/b^3/x^3-3*c^2/b^4/x-1/2*c^3*x/b^4/(c*x^2+b)-7/2*c^(5/2)*arctan(sqrt(c)*x/sqrt(b))/b^(9/2),1],
[x^15/(c*x^4+b*x^2)^3,x,4,-3/2*b*x^2/c^4+1/4*x^4/c^3-1/4*b^4/c^5/(c*x^2+b)^2+2*b^3/c^5/(c*x^2+b)+3*b^2*ln(c*x^2+b)/c^5,1],
[x^13/(c*x^4+b*x^2)^3,x,4,1/2*x^2/c^3+1/4*b^3/c^4/(c*x^2+b)^2-3/2*b^2/c^4/(c*x^2+b)-3/2*b*ln(c*x^2+b)/c^4,1],
[x^11/(c*x^4+b*x^2)^3,x,4,-1/4*b^2/c^3/(c*x^2+b)^2+b/c^3/(c*x^2+b)+1/2*ln(c*x^2+b)/c^3,1],
[x^9/(c*x^4+b*x^2)^3,x,2,1/4*x^4/b/(c*x^2+b)^2,1],
[x^7/(c*x^4+b*x^2)^3,x,2,-1/4/c/(c*x^2+b)^2,1],
[x^5/(c*x^4+b*x^2)^3,x,4,1/4/b/(c*x^2+b)^2+1/2/b^2/(c*x^2+b)+ln(x)/b^3-1/2*ln(c*x^2+b)/b^3,1],
[x^3/(c*x^4+b*x^2)^3,x,4,-1/2/b^3/x^2-1/4*c/b^2/(c*x^2+b)^2-c/b^3/(c*x^2+b)-3*c*ln(x)/b^4+3/2*c*ln(c*x^2+b)/b^4,1],
[x/(c*x^4+b*x^2)^3,x,4,-1/4/b^3/x^4+3/2*c/b^4/x^2+1/4*c^2/b^3/(c*x^2+b)^2+3/2*c^2/b^4/(c*x^2+b)+6*c^2*ln(x)/b^5-3*c^2*ln(c*x^2+b)/b^5,1],
[1/x/(c*x^4+b*x^2)^3,x,4,-1/6/b^3/x^6+3/4*c/b^4/x^4-3*c^2/b^5/x^2-1/4*c^3/b^4/(c*x^2+b)^2-2*c^3/b^5/(c*x^2+b)-10*c^3*ln(x)/b^6+5*c^3*ln(c*x^2+b)/b^6,1],
[x^14/(c*x^4+b*x^2)^3,x,6,-3*b*x/c^4+1/3*x^3/c^3+1/4*b^3*x/c^4/(c*x^2+b)^2-13/8*b^2*x/c^4/(c*x^2+b)+35/8*b^(3/2)*arctan(sqrt(c)*x/sqrt(b))/c^(9/2),1],
[x^12/(c*x^4+b*x^2)^3,x,6,x/c^3-1/4*b^2*x/c^3/(c*x^2+b)^2+9/8*b*x/c^3/(c*x^2+b)-15/8*sqrt(b)*arctan(sqrt(c)*x/sqrt(b))/c^(7/2),1],
[x^10/(c*x^4+b*x^2)^3,x,4,-1/4*x^3/c/(c*x^2+b)^2-3/8*x/c^2/(c*x^2+b)+3/8*arctan(sqrt(c)*x/sqrt(b))/sqrt(b)/c^(5/2),1],
[x^8/(c*x^4+b*x^2)^3,x,4,-1/4*x/c/(c*x^2+b)^2+1/8*x/b/c/(c*x^2+b)+1/8*arctan(sqrt(c)*x/sqrt(b))/b^(3/2)/c^(3/2),1],
[x^6/(c*x^4+b*x^2)^3,x,4,1/4*x/b/(c*x^2+b)^2+3/8*x/b^2/(c*x^2+b)+3/8*arctan(sqrt(c)*x/sqrt(b))/b^(5/2)/sqrt(c),1],
[x^4/(c*x^4+b*x^2)^3,x,5,-1/b^3/x-1/4*c*x/b^2/(c*x^2+b)^2-7/8*c*x/b^3/(c*x^2+b)-15/8*sqrt(c)*arctan(sqrt(c)*x/sqrt(b))/b^(7/2),1],
[x^2/(c*x^4+b*x^2)^3,x,6,-1/3/b^3/x^3+3*c/b^4/x+1/4*c^2*x/b^3/(c*x^2+b)^2+11/8*c^2*x/b^4/(c*x^2+b)+35/8*c^(3/2)*arctan(sqrt(c)*x/sqrt(b))/b^(9/2),1],
[1/(c*x^4+b*x^2)^3,x,6,-1/5/b^3/x^5+c/b^4/x^3-6*c^2/b^5/x-1/4*c^3*x/b^4/(c*x^2+b)^2-15/8*c^3*x/b^5/(c*x^2+b)-63/8*c^(5/2)*arctan(sqrt(c)*x/sqrt(b))/b^(11/2),1],
[1/x^2/(c*x^4+b*x^2)^3,x,6,-1/7/b^3/x^7+3/5*c/b^4/x^5-2*c^2/b^5/x^3+10*c^3/b^6/x+1/4*c^4*x/b^5/(c*x^2+b)^2+19/8*c^4*x/b^6/(c*x^2+b)+99/8*c^(7/2)*arctan(sqrt(c)*x/sqrt(b))/b^(13/2),1],
[x^(7/2)*(c*x^4+b*x^2),x,3,2/13*b*x^(13/2)+2/17*c*x^(17/2),1],
[x^(5/2)*(c*x^4+b*x^2),x,3,2/11*b*x^(11/2)+2/15*c*x^(15/2),1],
[x^(3/2)*(c*x^4+b*x^2),x,3,2/9*b*x^(9/2)+2/13*c*x^(13/2),1],
[sqrt(x)*(c*x^4+b*x^2),x,3,2/7*b*x^(7/2)+2/11*c*x^(11/2),1],
[(c*x^4+b*x^2)/sqrt(x),x,3,2/5*b*x^(5/2)+2/9*c*x^(9/2),1],
[(c*x^4+b*x^2)/x^(3/2),x,3,2/3*b*x^(3/2)+2/7*c*x^(7/2),1],
[(c*x^4+b*x^2)/x^(5/2),x,3,2*b*sqrt(x)+2/5*c*x^(5/2),1],
[(c*x^4+b*x^2)/x^(7/2),x,3,-2*b/sqrt(x)+2/3*c*x^(3/2),1],
[x^(7/2)*(c*x^4+b*x^2)^2,x,3,2/17*b^2*x^(17/2)+4/21*b*c*x^(21/2)+2/25*c^2*x^(25/2),1],
[x^(5/2)*(c*x^4+b*x^2)^2,x,3,2/15*b^2*x^(15/2)+4/19*b*c*x^(19/2)+2/23*c^2*x^(23/2),1],
[x^(3/2)*(c*x^4+b*x^2)^2,x,3,2/13*b^2*x^(13/2)+4/17*b*c*x^(17/2)+2/21*c^2*x^(21/2),1],
[sqrt(x)*(c*x^4+b*x^2)^2,x,3,2/11*b^2*x^(11/2)+4/15*b*c*x^(15/2)+2/19*c^2*x^(19/2),1],
[(c*x^4+b*x^2)^2/sqrt(x),x,3,2/9*b^2*x^(9/2)+4/13*b*c*x^(13/2)+2/17*c^2*x^(17/2),1],
[(c*x^4+b*x^2)^2/x^(3/2),x,3,2/7*b^2*x^(7/2)+4/11*b*c*x^(11/2)+2/15*c^2*x^(15/2),1],
[(c*x^4+b*x^2)^2/x^(5/2),x,3,2/5*b^2*x^(5/2)+4/9*b*c*x^(9/2)+2/13*c^2*x^(13/2),1],
[(c*x^4+b*x^2)^2/x^(7/2),x,3,2/3*b^2*x^(3/2)+4/7*b*c*x^(7/2)+2/11*c^2*x^(11/2),1],
[x^(7/2)*(c*x^4+b*x^2)^3,x,3,2/21*b^3*x^(21/2)+6/25*b^2*c*x^(25/2)+6/29*b*c^2*x^(29/2)+2/33*c^3*x^(33/2),1],
[x^(5/2)*(c*x^4+b*x^2)^3,x,3,2/19*b^3*x^(19/2)+6/23*b^2*c*x^(23/2)+2/9*b*c^2*x^(27/2)+2/31*c^3*x^(31/2),1],
[x^(3/2)*(c*x^4+b*x^2)^3,x,3,2/17*b^3*x^(17/2)+2/7*b^2*c*x^(21/2)+6/25*b*c^2*x^(25/2)+2/29*c^3*x^(29/2),1],
[sqrt(x)*(c*x^4+b*x^2)^3,x,3,2/15*b^3*x^(15/2)+6/19*b^2*c*x^(19/2)+6/23*b*c^2*x^(23/2)+2/27*c^3*x^(27/2),1],
[(c*x^4+b*x^2)^3/sqrt(x),x,3,2/13*b^3*x^(13/2)+6/17*b^2*c*x^(17/2)+2/7*b*c^2*x^(21/2)+2/25*c^3*x^(25/2),1],
[(c*x^4+b*x^2)^3/x^(3/2),x,3,2/11*b^3*x^(11/2)+2/5*b^2*c*x^(15/2)+6/19*b*c^2*x^(19/2)+2/23*c^3*x^(23/2),1],
[(c*x^4+b*x^2)^3/x^(5/2),x,3,2/9*b^3*x^(9/2)+6/13*b^2*c*x^(13/2)+6/17*b*c^2*x^(17/2)+2/21*c^3*x^(21/2),1],
[(c*x^4+b*x^2)^3/x^(7/2),x,3,2/7*b^3*x^(7/2)+6/11*b^2*c*x^(11/2)+2/5*b*c^2*x^(15/2)+2/19*c^3*x^(19/2),1],
[x^(13/2)/(c*x^4+b*x^2),x,12,-2/3*b*x^(3/2)/c^2+2/7*x^(7/2)/c-b^(7/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(11/4)+b^(7/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(11/4)-b^(7/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(11/4),1],
[x^(11/2)/(c*x^4+b*x^2),x,12,-2*b*sqrt(x)/c^2+2/5*x^(5/2)/c-b^(5/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(9/4)+b^(5/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(9/4)+b^(5/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(9/4),1],
[x^(9/2)/(c*x^4+b*x^2),x,11,2/3*x^(3/2)/c+b^(3/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(7/4)-b^(3/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(7/4)+b^(3/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(7/4),1],
[x^(7/2)/(c*x^4+b*x^2),x,11,2*sqrt(x)/c+b^(1/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(5/4)-b^(1/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(5/4)-b^(1/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(5/4),1],
[x^(5/2)/(c*x^4+b*x^2),x,10,-arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(1/4)/c^(3/4)+arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(1/4)/c^(3/4)-arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(1/4)/c^(3/4),1],
[x^(3/2)/(c*x^4+b*x^2),x,10,-arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(3/4)/c^(1/4)+arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(3/4)/c^(1/4)+arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(3/4)/c^(1/4),1],
[sqrt(x)/(c*x^4+b*x^2),x,11,-2/b/sqrt(x)+c^(1/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(5/4)-c^(1/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(5/4)+c^(1/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(5/4),1],
[1/sqrt(x)/(c*x^4+b*x^2),x,11,-2/3/b/x^(3/2)+c^(3/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(7/4)-c^(3/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(7/4)-c^(3/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(7/4),1],
[1/x^(3/2)/(c*x^4+b*x^2),x,12,-2/5/b/x^(5/2)+2*c/b^2/sqrt(x)-c^(5/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(9/4)+c^(5/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(9/4)-c^(5/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(9/4),1],
[1/x^(5/2)/(c*x^4+b*x^2),x,12,-2/7/b/x^(7/2)+2/3*c/b^2/x^(3/2)-c^(7/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(11/4)+c^(7/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(11/4)+c^(7/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(11/4),1],
[1/x^(7/2)/(c*x^4+b*x^2),x,13,-2/9/b/x^(9/2)+2/5*c/b^2/x^(5/2)-2*c^2/b^3/sqrt(x)+c^(9/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(13/4)-c^(9/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(13/4)+c^(9/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(13/4),1],
[x^(19/2)/(c*x^4+b*x^2)^2,x,13,-9/2*b*sqrt(x)/c^3+9/10*x^(5/2)/c^2-1/2*x^(9/2)/c/(c*x^2+b)-9/4*b^(5/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(13/4)+9/4*b^(5/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(13/4)+9/4*b^(5/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(13/4),1],
[x^(17/2)/(c*x^4+b*x^2)^2,x,12,7/6*x^(3/2)/c^2-1/2*x^(7/2)/c/(c*x^2+b)+7/4*b^(3/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(11/4)-7/4*b^(3/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(11/4)+7/4*b^(3/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(11/4),1],
[x^(15/2)/(c*x^4+b*x^2)^2,x,12,5/2*sqrt(x)/c^2-1/2*x^(5/2)/c/(c*x^2+b)+5/4*b^(1/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(9/4)-5/4*b^(1/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(9/4)-5/4*b^(1/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(9/4),1],
[x^(13/2)/(c*x^4+b*x^2)^2,x,11,-1/2*x^(3/2)/c/(c*x^2+b)-3/4*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(1/4)/c^(7/4)+3/4*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(1/4)/c^(7/4)-3/4*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(1/4)/c^(7/4),1],
[x^(11/2)/(c*x^4+b*x^2)^2,x,11,-1/2*sqrt(x)/c/(c*x^2+b)-1/4*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(3/4)/c^(5/4)+1/4*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(3/4)/c^(5/4)+1/4*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(3/4)/c^(5/4),1],
[x^(9/2)/(c*x^4+b*x^2)^2,x,11,1/2*x^(3/2)/b/(c*x^2+b)-1/4*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(5/4)/c^(3/4)+1/4*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(5/4)/c^(3/4)-1/4*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(5/4)/c^(3/4),1],
[x^(7/2)/(c*x^4+b*x^2)^2,x,11,1/2*sqrt(x)/b/(c*x^2+b)-3/4*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(7/4)/c^(1/4)+3/4*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(7/4)/c^(1/4)+3/4*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(7/4)/c^(1/4),1],
[x^(5/2)/(c*x^4+b*x^2)^2,x,12,-5/2/b^2/sqrt(x)+1/2/b/sqrt(x)/(c*x^2+b)+5/4*c^(1/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(9/4)-5/4*c^(1/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(9/4)+5/4*c^(1/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(9/4),1],
[x^(3/2)/(c*x^4+b*x^2)^2,x,12,-7/6/b^2/x^(3/2)+1/2/b/x^(3/2)/(c*x^2+b)+7/4*c^(3/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(11/4)-7/4*c^(3/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(11/4)-7/4*c^(3/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(11/4),1],
[sqrt(x)/(c*x^4+b*x^2)^2,x,13,-9/10/b^2/x^(5/2)+9/2*c/b^3/sqrt(x)+1/2/b/x^(5/2)/(c*x^2+b)-9/4*c^(5/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(13/4)+9/4*c^(5/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(13/4)-9/4*c^(5/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(13/4),1],
[1/sqrt(x)/(c*x^4+b*x^2)^2,x,13,-11/14/b^2/x^(7/2)+11/6*c/b^3/x^(3/2)+1/2/b/x^(7/2)/(c*x^2+b)-11/4*c^(7/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(15/4)+11/4*c^(7/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(15/4)+11/4*c^(7/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(15/4),1],
[1/x^(3/2)/(c*x^4+b*x^2)^2,x,14,-13/18/b^2/x^(9/2)+13/10*c/b^3/x^(5/2)-13/2*c^2/b^4/sqrt(x)+1/2/b/x^(9/2)/(c*x^2+b)+13/4*c^(9/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(17/4)-13/4*c^(9/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(17/4)+13/4*c^(9/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(17/4),1],
[x^(23/2)/(c*x^4+b*x^2)^3,x,13,45/16*sqrt(x)/c^3-1/4*x^(9/2)/c/(c*x^2+b)^2-9/16*x^(5/2)/c^2/(c*x^2+b)+45/32*b^(1/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(13/4)-45/32*b^(1/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/c^(13/4)-45/32*b^(1/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/c^(13/4),1],
[x^(21/2)/(c*x^4+b*x^2)^3,x,12,-1/4*x^(7/2)/c/(c*x^2+b)^2-7/16*x^(3/2)/c^2/(c*x^2+b)-21/32*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(1/4)/c^(11/4)+21/32*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(1/4)/c^(11/4)-21/32*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(1/4)/c^(11/4),1],
[x^(19/2)/(c*x^4+b*x^2)^3,x,12,-1/4*x^(5/2)/c/(c*x^2+b)^2-5/16*sqrt(x)/c^2/(c*x^2+b)-5/32*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(3/4)/c^(9/4)+5/32*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(3/4)/c^(9/4)+5/32*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(3/4)/c^(9/4),1],
[x^(17/2)/(c*x^4+b*x^2)^3,x,12,-1/4*x^(3/2)/c/(c*x^2+b)^2+3/16*x^(3/2)/b/c/(c*x^2+b)-3/32*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(5/4)/c^(7/4)+3/32*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(5/4)/c^(7/4)-3/32*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(5/4)/c^(7/4),1],
[x^(15/2)/(c*x^4+b*x^2)^3,x,12,-1/4*sqrt(x)/c/(c*x^2+b)^2+1/16*sqrt(x)/b/c/(c*x^2+b)-3/32*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(7/4)/c^(5/4)+3/32*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(7/4)/c^(5/4)+3/32*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(7/4)/c^(5/4),1],
[x^(13/2)/(c*x^4+b*x^2)^3,x,12,1/4*x^(3/2)/b/(c*x^2+b)^2+5/16*x^(3/2)/b^2/(c*x^2+b)-5/32*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(9/4)/c^(3/4)+5/32*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(9/4)/c^(3/4)-5/32*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(9/4)/c^(3/4),1],
[x^(11/2)/(c*x^4+b*x^2)^3,x,12,1/4*sqrt(x)/b/(c*x^2+b)^2+7/16*sqrt(x)/b^2/(c*x^2+b)-21/32*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(11/4)/c^(1/4)+21/32*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(11/4)/c^(1/4)+21/32*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(11/4)/c^(1/4),1],
[x^(9/2)/(c*x^4+b*x^2)^3,x,13,-45/16/b^3/sqrt(x)+1/4/b/sqrt(x)/(c*x^2+b)^2+9/16/b^2/sqrt(x)/(c*x^2+b)+45/32*c^(1/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(13/4)-45/32*c^(1/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(13/4)+45/32*c^(1/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(13/4),1],
[x^(7/2)/(c*x^4+b*x^2)^3,x,13,-77/48/b^3/x^(3/2)+1/4/b/x^(3/2)/(c*x^2+b)^2+11/16/b^2/x^(3/2)/(c*x^2+b)+77/32*c^(3/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(15/4)-77/32*c^(3/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(15/4)-77/32*c^(3/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(15/4),1],
[x^(5/2)/(c*x^4+b*x^2)^3,x,14,-117/80/b^3/x^(5/2)+117/16*c/b^4/sqrt(x)+1/4/b/x^(5/2)/(c*x^2+b)^2+13/16/b^2/x^(5/2)/(c*x^2+b)-117/32*c^(5/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(17/4)+117/32*c^(5/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(17/4)-117/32*c^(5/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(17/4),1],
[x^(3/2)/(c*x^4+b*x^2)^3,x,14,-165/112/b^3/x^(7/2)+55/16*c/b^4/x^(3/2)+1/4/b/x^(7/2)/(c*x^2+b)^2+15/16/b^2/x^(7/2)/(c*x^2+b)-165/32*c^(7/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(19/4)+165/32*c^(7/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(19/4)+165/32*c^(7/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(19/4),1],
[sqrt(x)/(c*x^4+b*x^2)^3,x,15,-221/144/b^3/x^(9/2)+221/80*c/b^4/x^(5/2)-221/16*c^2/b^5/sqrt(x)+1/4/b/x^(9/2)/(c*x^2+b)^2+17/16/b^2/x^(9/2)/(c*x^2+b)+221/32*c^(9/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(21/4)-221/32*c^(9/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(21/4)+221/32*c^(9/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(21/4),1],
[1/sqrt(x)/(c*x^4+b*x^2)^3,x,15,-285/176/b^3/x^(11/2)+285/112*c/b^4/x^(7/2)-95/16*c^2/b^5/x^(3/2)+1/4/b/x^(11/2)/(c*x^2+b)^2+19/16/b^2/x^(11/2)/(c*x^2+b)+285/32*c^(11/4)*arctan(1-sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(23/4)-285/32*c^(11/4)*arctan(1+sqrt(2)*c^(1/4)*sqrt(x)/b^(1/4))/sqrt(2)/b^(23/4)-285/32*c^(11/4)*arctanh(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x)/(sqrt(b)+sqrt(c)*x))/sqrt(2)/b^(23/4),1],
[x^5*sqrt(c*x^4+b*x^2),x,6,5/128*b^2*(2*c*x^2+b)*sqrt(c*x^4+b*x^2)/c^3-5/48*b*(c*x^4+b*x^2)^(3/2)/c^2+1/8*x^2*(c*x^4+b*x^2)^(3/2)/c-5/128*b^4*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(7/2),1],
[x^3*sqrt(c*x^4+b*x^2),x,5,-1/16*b*(2*c*x^2+b)*sqrt(c*x^4+b*x^2)/c^2+1/6*(c*x^4+b*x^2)^(3/2)/c+1/16*b^3*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(5/2),1],
[x*sqrt(c*x^4+b*x^2),x,4,1/8*(2*c*x^2+b)*sqrt(c*x^4+b*x^2)/c-1/8*b^2*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(3/2),1],
[sqrt(c*x^4+b*x^2)/x,x,4,1/2*sqrt(c*x^4+b*x^2)+1/2*b*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/sqrt(c),1],
[sqrt(c*x^4+b*x^2)/x^3,x,5,-sqrt(c*x^4+b*x^2)/x^2+sqrt(c)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2)),1],
[sqrt(c*x^4+b*x^2)/x^5,x,1,-1/3*(c*x^4+b*x^2)^(3/2)/b/x^6,1],
[sqrt(c*x^4+b*x^2)/x^7,x,2,-1/5*(c*x^4+b*x^2)^(3/2)/b/x^8+2/15*c*(c*x^4+b*x^2)^(3/2)/b^2/x^6,1],
[sqrt(c*x^4+b*x^2)/x^9,x,3,-1/7*(c*x^4+b*x^2)^(3/2)/b/x^10+4/35*c*(c*x^4+b*x^2)^(3/2)/b^2/x^8-8/105*c^2*(c*x^4+b*x^2)^(3/2)/b^3/x^6,1],
[sqrt(c*x^4+b*x^2)/x^11,x,4,-1/9*(c*x^4+b*x^2)^(3/2)/b/x^12+2/21*c*(c*x^4+b*x^2)^(3/2)/b^2/x^10-8/105*c^2*(c*x^4+b*x^2)^(3/2)/b^3/x^8+16/315*c^3*(c*x^4+b*x^2)^(3/2)/b^4/x^6,1],
[sqrt(c*x^4+b*x^2)/x^13,x,5,-1/11*(c*x^4+b*x^2)^(3/2)/b/x^14+8/99*c*(c*x^4+b*x^2)^(3/2)/b^2/x^12-16/231*c^2*(c*x^4+b*x^2)^(3/2)/b^3/x^10+64/1155*c^3*(c*x^4+b*x^2)^(3/2)/b^4/x^8-128/3465*c^4*(c*x^4+b*x^2)^(3/2)/b^5/x^6,1],
[x^4*sqrt(c*x^4+b*x^2),x,3,8/105*b^2*(c*x^4+b*x^2)^(3/2)/c^3/x^3-4/35*b*(c*x^4+b*x^2)^(3/2)/c^2/x+1/7*x*(c*x^4+b*x^2)^(3/2)/c,1],
[x^2*sqrt(c*x^4+b*x^2),x,2,-2/15*b*(c*x^4+b*x^2)^(3/2)/c^2/x^3+1/5*(c*x^4+b*x^2)^(3/2)/c/x,1],
[sqrt(c*x^4+b*x^2),x,1,1/3*(c*x^4+b*x^2)^(3/2)/c/x^3,1],
[sqrt(c*x^4+b*x^2)/x^2,x,3,sqrt(c*x^4+b*x^2)/x-sqrt(b)*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2)),1],
[sqrt(c*x^4+b*x^2)/x^4,x,3,-1/2*sqrt(c*x^4+b*x^2)/x^3-1/2*c*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/sqrt(b),1],
[sqrt(c*x^4+b*x^2)/x^6,x,4,-1/4*sqrt(c*x^4+b*x^2)/x^5-1/8*c*sqrt(c*x^4+b*x^2)/b/x^3+1/8*c^2*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(3/2),1],
[sqrt(c*x^4+b*x^2)/x^8,x,5,-1/6*sqrt(c*x^4+b*x^2)/x^7-1/24*c*sqrt(c*x^4+b*x^2)/b/x^5+1/16*c^2*sqrt(c*x^4+b*x^2)/b^2/x^3-1/16*c^3*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(5/2),1],
[x^3*(c*x^4+b*x^2)^(3/2),x,6,3/256*b^3*(2*c*x^2+b)*sqrt(c*x^4+b*x^2)/c^3-1/32*b*(2*c*x^2+b)*(c*x^4+b*x^2)^(3/2)/c^2+1/10*(c*x^4+b*x^2)^(5/2)/c-3/256*b^5*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(7/2),1],
[x*(c*x^4+b*x^2)^(3/2),x,5,-3/128*b^2*(2*c*x^2+b)*sqrt(c*x^4+b*x^2)/c^2+1/16*(2*c*x^2+b)*(c*x^4+b*x^2)^(3/2)/c+3/128*b^4*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(5/2),1],
[(c*x^4+b*x^2)^(3/2)/x,x,5,1/16*b*(2*c*x^2+b)*sqrt(c*x^4+b*x^2)/c+1/6*(c*x^4+b*x^2)^(3/2)-1/16*b^3*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(3/2),1],
[(c*x^4+b*x^2)^(3/2)/x^3,x,5,3/8*b*sqrt(c*x^4+b*x^2)+1/4*(c*x^4+b*x^2)^(3/2)/x^2+3/8*b^2*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/sqrt(c),1],
[(c*x^4+b*x^2)^(3/2)/x^5,x,5,1/2*c*sqrt(c*x^4+b*x^2)-b*sqrt(c*x^4+b*x^2)/x^2+3/2*b*sqrt(c)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2)),1],
[(c*x^4+b*x^2)^(3/2)/x^7,x,6,-c*sqrt(c*x^4+b*x^2)/x^2-1/3*(c*x^4+b*x^2)^(3/2)/x^6+c^(3/2)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2)),1],
[(c*x^4+b*x^2)^(3/2)/x^9,x,1,-1/5*(c*x^4+b*x^2)^(5/2)/b/x^10,1],
[(c*x^4+b*x^2)^(3/2)/x^11,x,2,-1/7*(c*x^4+b*x^2)^(5/2)/b/x^12+2/35*c*(c*x^4+b*x^2)^(5/2)/b^2/x^10,1],
[(c*x^4+b*x^2)^(3/2)/x^13,x,3,-1/9*(c*x^4+b*x^2)^(5/2)/b/x^14+4/63*c*(c*x^4+b*x^2)^(5/2)/b^2/x^12-8/315*c^2*(c*x^4+b*x^2)^(5/2)/b^3/x^10,1],
[(c*x^4+b*x^2)^(3/2)/x^15,x,4,-1/11*(c*x^4+b*x^2)^(5/2)/b/x^16+2/33*c*(c*x^4+b*x^2)^(5/2)/b^2/x^14-8/231*c^2*(c*x^4+b*x^2)^(5/2)/b^3/x^12+16/1155*c^3*(c*x^4+b*x^2)^(5/2)/b^4/x^10,1],
[(c*x^4+b*x^2)^(3/2)/x^17,x,5,-1/13*(c*x^4+b*x^2)^(5/2)/b/x^18+8/143*c*(c*x^4+b*x^2)^(5/2)/b^2/x^16-16/429*c^2*(c*x^4+b*x^2)^(5/2)/b^3/x^14+64/3003*c^3*(c*x^4+b*x^2)^(5/2)/b^4/x^12-128/15015*c^4*(c*x^4+b*x^2)^(5/2)/b^5/x^10,1],
[x^6*(c*x^4+b*x^2)^(3/2),x,5,128/15015*b^4*(c*x^4+b*x^2)^(5/2)/c^5/x^5-64/3003*b^3*(c*x^4+b*x^2)^(5/2)/c^4/x^3+16/429*b^2*(c*x^4+b*x^2)^(5/2)/c^3/x-8/143*b*x*(c*x^4+b*x^2)^(5/2)/c^2+1/13*x^3*(c*x^4+b*x^2)^(5/2)/c,1],
[x^4*(c*x^4+b*x^2)^(3/2),x,4,-16/1155*b^3*(c*x^4+b*x^2)^(5/2)/c^4/x^5+8/231*b^2*(c*x^4+b*x^2)^(5/2)/c^3/x^3-2/33*b*(c*x^4+b*x^2)^(5/2)/c^2/x+1/11*x*(c*x^4+b*x^2)^(5/2)/c,1],
[x^2*(c*x^4+b*x^2)^(3/2),x,3,8/315*b^2*(c*x^4+b*x^2)^(5/2)/c^3/x^5-4/63*b*(c*x^4+b*x^2)^(5/2)/c^2/x^3+1/9*(c*x^4+b*x^2)^(5/2)/c/x,1],
[(c*x^4+b*x^2)^(3/2),x,2,-2/35*b*(c*x^4+b*x^2)^(5/2)/c^2/x^5+1/7*(c*x^4+b*x^2)^(5/2)/c/x^3,1],
[(c*x^4+b*x^2)^(3/2)/x^2,x,1,1/5*(c*x^4+b*x^2)^(5/2)/c/x^5,1],
[(c*x^4+b*x^2)^(3/2)/x^4,x,4,b*sqrt(c*x^4+b*x^2)/x+1/3*(c*x^4+b*x^2)^(3/2)/x^3-b^(3/2)*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2)),1],
[(c*x^4+b*x^2)^(3/2)/x^6,x,4,3/2*c*sqrt(c*x^4+b*x^2)/x-1/2*(c*x^4+b*x^2)^(3/2)/x^5-3/2*sqrt(b)*c*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2)),1],
[(c*x^4+b*x^2)^(3/2)/x^8,x,4,-3/8*c*sqrt(c*x^4+b*x^2)/x^3-1/4*(c*x^4+b*x^2)^(3/2)/x^7-3/8*c^2*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/sqrt(b),1],
[(c*x^4+b*x^2)^(3/2)/x^10,x,5,-1/8*c*sqrt(c*x^4+b*x^2)/x^5-1/16*c^2*sqrt(c*x^4+b*x^2)/b/x^3-1/6*(c*x^4+b*x^2)^(3/2)/x^9+1/16*c^3*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(3/2),1],
[(c*x^4+b*x^2)^(3/2)/x^12,x,6,-1/16*c*sqrt(c*x^4+b*x^2)/x^7-1/64*c^2*sqrt(c*x^4+b*x^2)/b/x^5+3/128*c^3*sqrt(c*x^4+b*x^2)/b^2/x^3-1/8*(c*x^4+b*x^2)^(3/2)/x^11-3/128*c^4*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(5/2),1],
[(c*x^4+b*x^2)^(3/2)/x^14,x,7,-3/80*c*sqrt(c*x^4+b*x^2)/x^9-1/160*c^2*sqrt(c*x^4+b*x^2)/b/x^7+1/128*c^3*sqrt(c*x^4+b*x^2)/b^2/x^5-3/256*c^4*sqrt(c*x^4+b*x^2)/b^3/x^3-1/10*(c*x^4+b*x^2)^(3/2)/x^13+3/256*c^5*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(7/2),1],
[x^7/sqrt(c*x^4+b*x^2),x,6,5/16*b^2*sqrt(c*x^4+b*x^2)/c^3-5/24*b*x^2*sqrt(c*x^4+b*x^2)/c^2+1/6*x^4*sqrt(c*x^4+b*x^2)/c-5/16*b^3*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(7/2),1],
[x^5/sqrt(c*x^4+b*x^2),x,5,-3/8*b*sqrt(c*x^4+b*x^2)/c^2+1/4*x^2*sqrt(c*x^4+b*x^2)/c+3/8*b^2*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(5/2),1],
[x^3/sqrt(c*x^4+b*x^2),x,4,1/2*sqrt(c*x^4+b*x^2)/c-1/2*b*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(3/2),1],
[x/sqrt(c*x^4+b*x^2),x,3,arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/sqrt(c),1],
[1/x/sqrt(c*x^4+b*x^2),x,1,-sqrt(c*x^4+b*x^2)/b/x^2,1],
[1/x^3/sqrt(c*x^4+b*x^2),x,2,-1/3*sqrt(c*x^4+b*x^2)/b/x^4+2/3*c*sqrt(c*x^4+b*x^2)/b^2/x^2,1],
[1/x^5/sqrt(c*x^4+b*x^2),x,3,-1/5*sqrt(c*x^4+b*x^2)/b/x^6+4/15*c*sqrt(c*x^4+b*x^2)/b^2/x^4-8/15*c^2*sqrt(c*x^4+b*x^2)/b^3/x^2,1],
[1/x^7/sqrt(c*x^4+b*x^2),x,4,-1/7*sqrt(c*x^4+b*x^2)/b/x^8+6/35*c*sqrt(c*x^4+b*x^2)/b^2/x^6-8/35*c^2*sqrt(c*x^4+b*x^2)/b^3/x^4+16/35*c^3*sqrt(c*x^4+b*x^2)/b^4/x^2,1],
[x^8/sqrt(c*x^4+b*x^2),x,4,-16/35*b^3*sqrt(c*x^4+b*x^2)/c^4/x+8/35*b^2*x*sqrt(c*x^4+b*x^2)/c^3-6/35*b*x^3*sqrt(c*x^4+b*x^2)/c^2+1/7*x^5*sqrt(c*x^4+b*x^2)/c,1],
[x^6/sqrt(c*x^4+b*x^2),x,3,8/15*b^2*sqrt(c*x^4+b*x^2)/c^3/x-4/15*b*x*sqrt(c*x^4+b*x^2)/c^2+1/5*x^3*sqrt(c*x^4+b*x^2)/c,1],
[x^4/sqrt(c*x^4+b*x^2),x,2,-2/3*b*sqrt(c*x^4+b*x^2)/c^2/x+1/3*x*sqrt(c*x^4+b*x^2)/c,1],
[x^2/sqrt(c*x^4+b*x^2),x,1,sqrt(c*x^4+b*x^2)/c/x,1],
[1/sqrt(c*x^4+b*x^2),x,2,-arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/sqrt(b),1],
[1/x^2/sqrt(c*x^4+b*x^2),x,3,-1/2*sqrt(c*x^4+b*x^2)/b/x^3+1/2*c*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(3/2),1],
[1/x^4/sqrt(c*x^4+b*x^2),x,4,-1/4*sqrt(c*x^4+b*x^2)/b/x^5+3/8*c*sqrt(c*x^4+b*x^2)/b^2/x^3-3/8*c^2*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(5/2),1],
[x^9/(c*x^4+b*x^2)^(3/2),x,6,-b^2*x^2/c^3/sqrt(c*x^4+b*x^2)-7/8*b*sqrt(c*x^4+b*x^2)/c^3+1/4*x^2*sqrt(c*x^4+b*x^2)/c^2+15/8*b^2*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(7/2),1],
[x^7/(c*x^4+b*x^2)^(3/2),x,5,b*x^2/c^2/sqrt(c*x^4+b*x^2)+1/2*sqrt(c*x^4+b*x^2)/c^2-3/2*b*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(5/2),1],
[x^5/(c*x^4+b*x^2)^(3/2),x,4,-x^2/c/sqrt(c*x^4+b*x^2)+arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(3/2),1],
[x^3/(c*x^4+b*x^2)^(3/2),x,1,x^2/b/sqrt(c*x^4+b*x^2),1],
[x/(c*x^4+b*x^2)^(3/2),x,2,-(2*c*x^2+b)/b^2/sqrt(c*x^4+b*x^2),1],
[1/x/(c*x^4+b*x^2)^(3/2),x,3,-1/3/b/x^2/sqrt(c*x^4+b*x^2)+4/3*c*(2*c*x^2+b)/b^3/sqrt(c*x^4+b*x^2),1],
[1/x^3/(c*x^4+b*x^2)^(3/2),x,4,-1/5/b/x^4/sqrt(c*x^4+b*x^2)+2/5*c/b^2/x^2/sqrt(c*x^4+b*x^2)-8/5*c^2*(2*c*x^2+b)/b^4/sqrt(c*x^4+b*x^2),1],
[1/x^5/(c*x^4+b*x^2)^(3/2),x,5,-1/7/b/x^6/sqrt(c*x^4+b*x^2)+8/35*c/b^2/x^4/sqrt(c*x^4+b*x^2)-16/35*c^2/b^3/x^2/sqrt(c*x^4+b*x^2)+64/35*c^3*(2*c*x^2+b)/b^5/sqrt(c*x^4+b*x^2),1],
[x^10/(c*x^4+b*x^2)^(3/2),x,4,16/5*b^3*x/c^4/sqrt(c*x^4+b*x^2)+8/5*b^2*x^3/c^3/sqrt(c*x^4+b*x^2)-2/5*b*x^5/c^2/sqrt(c*x^4+b*x^2)+1/5*x^7/c/sqrt(c*x^4+b*x^2),1],
[x^8/(c*x^4+b*x^2)^(3/2),x,3,-8/3*b^2*x/c^3/sqrt(c*x^4+b*x^2)-4/3*b*x^3/c^2/sqrt(c*x^4+b*x^2)+1/3*x^5/c/sqrt(c*x^4+b*x^2),1],
[x^6/(c*x^4+b*x^2)^(3/2),x,2,2*b*x/c^2/sqrt(c*x^4+b*x^2)+x^3/c/sqrt(c*x^4+b*x^2),1],
[x^4/(c*x^4+b*x^2)^(3/2),x,1,-x/c/sqrt(c*x^4+b*x^2),1],
[x^2/(c*x^4+b*x^2)^(3/2),x,3,x/b/sqrt(c*x^4+b*x^2)-arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(3/2),1],
[1/(c*x^4+b*x^2)^(3/2),x,4,1/b/x/sqrt(c*x^4+b*x^2)-3/2*sqrt(c*x^4+b*x^2)/b^2/x^3+3/2*c*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(5/2),1],
[1/x^2/(c*x^4+b*x^2)^(3/2),x,5,1/b/x^3/sqrt(c*x^4+b*x^2)-5/4*sqrt(c*x^4+b*x^2)/b^2/x^5+15/8*c*sqrt(c*x^4+b*x^2)/b^3/x^3-15/8*c^2*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(7/2),1],
[x^3/sqrt(-4*x^4+3*x^2),x,4,-1/8*sqrt(-4*x^4+3*x^2)-3/32*arcsin(-8/3*x^2+1),1],
[x^3/sqrt(-4*x^4-3*x^2),x,4,-1/8*sqrt(-4*x^4-3*x^2)-3/32*arcsin(8/3*x^2+1),1],
[x^3/sqrt(4*x^4+3*x^2),x,4,1/8*sqrt(4*x^4+3*x^2)-3/16*arctanh(2*x^2/sqrt(4*x^4+3*x^2)),1],
[x^3/sqrt(4*x^4-3*x^2),x,4,1/8*sqrt(4*x^4-3*x^2)+3/16*arctanh(2*x^2/sqrt(4*x^4-3*x^2)),1],
[x^3/sqrt(b*x^4+a*x^2),x,4,1/2*sqrt(b*x^4+a*x^2)/b-1/2*a*arctanh(sqrt(b)*x^2/sqrt(b*x^4+a*x^2))/b^(3/2),1],
[x^3/sqrt(-b*x^4+a*x^2),x,4,-1/2*sqrt(-b*x^4+a*x^2)/b+1/2*a*arctan(sqrt(b)*x^2/sqrt(-b*x^4+a*x^2))/b^(3/2),1],
[x^(7/2)*sqrt(c*x^4+b*x^2),x,9,28/195*b^3*x^(3/2)*(c*x^2+b)/c^(5/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-28/585*b^2*sqrt(x)*sqrt(c*x^4+b*x^2)/c^2+4/117*b*x^(5/2)*sqrt(c*x^4+b*x^2)/c+2/13*x^(9/2)*sqrt(c*x^4+b*x^2)-28/195*b^(13/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2)+14/195*b^(13/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2),1],
[x^(5/2)*sqrt(c*x^4+b*x^2),x,6,-20/231*b^2*sqrt(c*x^4+b*x^2)/c^2/sqrt(x)+4/77*b*x^(3/2)*sqrt(c*x^4+b*x^2)/c+2/11*x^(7/2)*sqrt(c*x^4+b*x^2)+10/231*b^(11/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(9/4)/sqrt(c*x^4+b*x^2),1],
[x^(3/2)*sqrt(c*x^4+b*x^2),x,8,-4/15*b^2*x^(3/2)*(c*x^2+b)/c^(3/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+4/45*b*sqrt(x)*sqrt(c*x^4+b*x^2)/c+2/9*x^(5/2)*sqrt(c*x^4+b*x^2)+4/15*b^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2)-2/15*b^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(x)*sqrt(c*x^4+b*x^2),x,5,4/21*b*sqrt(c*x^4+b*x^2)/c/sqrt(x)+2/7*x^(3/2)*sqrt(c*x^4+b*x^2)-2/21*b^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(5/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/sqrt(x),x,7,4/5*b*x^(3/2)*(c*x^2+b)/sqrt(c)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+2/5*sqrt(x)*sqrt(c*x^4+b*x^2)-4/5*b^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+b*x^2)+2/5*b^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/x^(3/2),x,4,2/3*sqrt(c*x^4+b*x^2)/sqrt(x)+2/3*b^(3/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(1/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/x^(5/2),x,7,4*sqrt(c)*x^(3/2)*(c*x^2+b)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-2*sqrt(c*x^4+b*x^2)/x^(3/2)-4*b^(1/4)*c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/sqrt(c*x^4+b*x^2)+2*b^(1/4)*c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/x^(7/2),x,4,-2/3*sqrt(c*x^4+b*x^2)/x^(5/2)+2/3*c^(3/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(1/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/x^(9/2),x,8,4/5*c^(3/2)*x^(3/2)*(c*x^2+b)/b/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-2/5*sqrt(c*x^4+b*x^2)/x^(7/2)-4/5*c*sqrt(c*x^4+b*x^2)/b/x^(3/2)-4/5*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(3/4)/sqrt(c*x^4+b*x^2)+2/5*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(3/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/x^(11/2),x,5,-2/7*sqrt(c*x^4+b*x^2)/x^(9/2)-4/21*c*sqrt(c*x^4+b*x^2)/b/x^(5/2)-2/21*c^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(5/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/x^(13/2),x,9,-4/15*c^(5/2)*x^(3/2)*(c*x^2+b)/b^2/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-2/9*sqrt(c*x^4+b*x^2)/x^(11/2)-4/45*c*sqrt(c*x^4+b*x^2)/b/x^(7/2)+4/15*c^2*sqrt(c*x^4+b*x^2)/b^2/x^(3/2)+4/15*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2)-2/15*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(c*x^4+b*x^2)/x^(15/2),x,6,-2/11*sqrt(c*x^4+b*x^2)/x^(13/2)-4/77*c*sqrt(c*x^4+b*x^2)/b/x^(9/2)+20/231*c^2*sqrt(c*x^4+b*x^2)/b^2/x^(5/2)+10/231*c^(11/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(c*x^4+b*x^2),1],
[x^(3/2)*(c*x^4+b*x^2)^(3/2),x,10,56/1105*b^4*x^(3/2)*(c*x^2+b)/c^(5/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-56/3315*b^3*sqrt(x)*sqrt(c*x^4+b*x^2)/c^2+8/663*b^2*x^(5/2)*sqrt(c*x^4+b*x^2)/c+12/221*b*x^(9/2)*sqrt(c*x^4+b*x^2)+2/17*x^(5/2)*(c*x^4+b*x^2)^(3/2)-56/1105*b^(17/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2)+28/1105*b^(17/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(x)*(c*x^4+b*x^2)^(3/2),x,7,-8/231*b^3*sqrt(c*x^4+b*x^2)/c^2/sqrt(x)+8/385*b^2*x^(3/2)*sqrt(c*x^4+b*x^2)/c+4/55*b*x^(7/2)*sqrt(c*x^4+b*x^2)+2/15*x^(3/2)*(c*x^4+b*x^2)^(3/2)+4/231*b^(15/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(9/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/sqrt(x),x,9,-8/65*b^3*x^(3/2)*(c*x^2+b)/c^(3/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+8/195*b^2*sqrt(x)*sqrt(c*x^4+b*x^2)/c+4/39*b*x^(5/2)*sqrt(c*x^4+b*x^2)+2/13*sqrt(x)*(c*x^4+b*x^2)^(3/2)+8/65*b^(13/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2)-4/65*b^(13/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(3/2),x,6,8/77*b^2*sqrt(c*x^4+b*x^2)/c/sqrt(x)+12/77*b*x^(3/2)*sqrt(c*x^4+b*x^2)+2/11*(c*x^4+b*x^2)^(3/2)/sqrt(x)-4/77*b^(11/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(5/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(5/2),x,8,8/15*b^2*x^(3/2)*(c*x^2+b)/sqrt(c)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+4/15*b*sqrt(x)*sqrt(c*x^4+b*x^2)+2/9*(c*x^4+b*x^2)^(3/2)/x^(3/2)-8/15*b^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+b*x^2)+4/15*b^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(7/2),x,5,4/7*b*sqrt(c*x^4+b*x^2)/sqrt(x)+2/7*(c*x^4+b*x^2)^(3/2)/x^(5/2)+4/7*b^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(1/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(9/2),x,8,24/5*b*sqrt(c)*x^(3/2)*(c*x^2+b)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+12/5*c*sqrt(x)*sqrt(c*x^4+b*x^2)-2*(c*x^4+b*x^2)^(3/2)/x^(7/2)-24/5*b^(5/4)*c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/sqrt(c*x^4+b*x^2)+12/5*b^(5/4)*c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(11/2),x,5,4/3*c*sqrt(c*x^4+b*x^2)/sqrt(x)-2/3*(c*x^4+b*x^2)^(3/2)/x^(9/2)+4/3*b^(3/4)*c^(3/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(13/2),x,8,24/5*c^(3/2)*x^(3/2)*(c*x^2+b)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-12/5*c*sqrt(c*x^4+b*x^2)/x^(3/2)-2/5*(c*x^4+b*x^2)^(3/2)/x^(11/2)-24/5*b^(1/4)*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/sqrt(c*x^4+b*x^2)+12/5*b^(1/4)*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(15/2),x,5,-4/7*c*sqrt(c*x^4+b*x^2)/x^(5/2)-2/7*(c*x^4+b*x^2)^(3/2)/x^(13/2)+4/7*c^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(1/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(17/2),x,9,8/15*c^(5/2)*x^(3/2)*(c*x^2+b)/b/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-4/15*c*sqrt(c*x^4+b*x^2)/x^(7/2)-8/15*c^2*sqrt(c*x^4+b*x^2)/b/x^(3/2)-2/9*(c*x^4+b*x^2)^(3/2)/x^(15/2)-8/15*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(3/4)/sqrt(c*x^4+b*x^2)+4/15*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(3/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(19/2),x,6,-12/77*c*sqrt(c*x^4+b*x^2)/x^(9/2)-8/77*c^2*sqrt(c*x^4+b*x^2)/b/x^(5/2)-2/11*(c*x^4+b*x^2)^(3/2)/x^(17/2)-4/77*c^(11/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(5/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(21/2),x,10,-8/65*c^(7/2)*x^(3/2)*(c*x^2+b)/b^2/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-4/39*c*sqrt(c*x^4+b*x^2)/x^(11/2)-8/195*c^2*sqrt(c*x^4+b*x^2)/b/x^(7/2)+8/65*c^3*sqrt(c*x^4+b*x^2)/b^2/x^(3/2)-2/13*(c*x^4+b*x^2)^(3/2)/x^(19/2)+8/65*c^(13/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2)-4/65*c^(13/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2),1],
[(c*x^4+b*x^2)^(3/2)/x^(23/2),x,7,-4/55*c*sqrt(c*x^4+b*x^2)/x^(13/2)-8/385*c^2*sqrt(c*x^4+b*x^2)/b/x^(9/2)+8/231*c^3*sqrt(c*x^4+b*x^2)/b^2/x^(5/2)-2/15*(c*x^4+b*x^2)^(3/2)/x^(21/2)+4/231*c^(15/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(c*x^4+b*x^2),1],
[x^(13/2)/sqrt(c*x^4+b*x^2),x,6,30/77*b^2*sqrt(c*x^4+b*x^2)/c^3/sqrt(x)-18/77*b*x^(3/2)*sqrt(c*x^4+b*x^2)/c^2+2/11*x^(7/2)*sqrt(c*x^4+b*x^2)/c-15/77*b^(11/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(13/4)/sqrt(c*x^4+b*x^2),1],
[x^(11/2)/sqrt(c*x^4+b*x^2),x,8,14/15*b^2*x^(3/2)*(c*x^2+b)/c^(5/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-14/45*b*sqrt(x)*sqrt(c*x^4+b*x^2)/c^2+2/9*x^(5/2)*sqrt(c*x^4+b*x^2)/c-14/15*b^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2)+7/15*b^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2),1],
[x^(9/2)/sqrt(c*x^4+b*x^2),x,5,-10/21*b*sqrt(c*x^4+b*x^2)/c^2/sqrt(x)+2/7*x^(3/2)*sqrt(c*x^4+b*x^2)/c+5/21*b^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(9/4)/sqrt(c*x^4+b*x^2),1],
[x^(7/2)/sqrt(c*x^4+b*x^2),x,7,-6/5*b*x^(3/2)*(c*x^2+b)/c^(3/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+2/5*sqrt(x)*sqrt(c*x^4+b*x^2)/c+6/5*b^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2)-3/5*b^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2),1],
[x^(5/2)/sqrt(c*x^4+b*x^2),x,4,2/3*sqrt(c*x^4+b*x^2)/c/sqrt(x)-1/3*b^(3/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(5/4)/sqrt(c*x^4+b*x^2),1],
[x^(3/2)/sqrt(c*x^4+b*x^2),x,6,2*x^(3/2)*(c*x^2+b)/sqrt(c)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-2*b^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+b*x^2)+b^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(x)/sqrt(c*x^4+b*x^2),x,3,x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(1/4)/c^(1/4)/sqrt(c*x^4+b*x^2),1],
[1/sqrt(x)/sqrt(c*x^4+b*x^2),x,7,2*sqrt(c)*x^(3/2)*(c*x^2+b)/b/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-2*sqrt(c*x^4+b*x^2)/b/x^(3/2)-2*c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(3/4)/sqrt(c*x^4+b*x^2)+c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(3/4)/sqrt(c*x^4+b*x^2),1],
[1/x^(3/2)/sqrt(c*x^4+b*x^2),x,4,-2/3*sqrt(c*x^4+b*x^2)/b/x^(5/2)-1/3*c^(3/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(5/4)/sqrt(c*x^4+b*x^2),1],
[1/x^(5/2)/sqrt(c*x^4+b*x^2),x,8,-6/5*c^(3/2)*x^(3/2)*(c*x^2+b)/b^2/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-2/5*sqrt(c*x^4+b*x^2)/b/x^(7/2)+6/5*c*sqrt(c*x^4+b*x^2)/b^2/x^(3/2)+6/5*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2)-3/5*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2),1],
[1/x^(7/2)/sqrt(c*x^4+b*x^2),x,5,-2/7*sqrt(c*x^4+b*x^2)/b/x^(9/2)+10/21*c*sqrt(c*x^4+b*x^2)/b^2/x^(5/2)+5/21*c^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(c*x^4+b*x^2),1],
[1/x^(9/2)/sqrt(c*x^4+b*x^2),x,9,14/15*c^(5/2)*x^(3/2)*(c*x^2+b)/b^3/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-2/9*sqrt(c*x^4+b*x^2)/b/x^(11/2)+14/45*c*sqrt(c*x^4+b*x^2)/b^2/x^(7/2)-14/15*c^2*sqrt(c*x^4+b*x^2)/b^3/x^(3/2)-14/15*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(11/4)/sqrt(c*x^4+b*x^2)+7/15*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(11/4)/sqrt(c*x^4+b*x^2),1],
[1/x^(11/2)/sqrt(c*x^4+b*x^2),x,6,-2/11*sqrt(c*x^4+b*x^2)/b/x^(13/2)+18/77*c*sqrt(c*x^4+b*x^2)/b^2/x^(9/2)-30/77*c^2*sqrt(c*x^4+b*x^2)/b^3/x^(5/2)-15/77*c^(11/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(13/4)/sqrt(c*x^4+b*x^2),1],
[x^(17/2)/(c*x^4+b*x^2)^(3/2),x,6,-x^(11/2)/c/sqrt(c*x^4+b*x^2)-15/7*b*sqrt(c*x^4+b*x^2)/c^3/sqrt(x)+9/7*x^(3/2)*sqrt(c*x^4+b*x^2)/c^2+15/14*b^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(13/4)/sqrt(c*x^4+b*x^2),1],
[x^(15/2)/(c*x^4+b*x^2)^(3/2),x,8,-x^(9/2)/c/sqrt(c*x^4+b*x^2)-21/5*b*x^(3/2)*(c*x^2+b)/c^(5/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+7/5*sqrt(x)*sqrt(c*x^4+b*x^2)/c^2+21/5*b^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2)-21/10*b^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(11/4)/sqrt(c*x^4+b*x^2),1],
[x^(13/2)/(c*x^4+b*x^2)^(3/2),x,5,-x^(7/2)/c/sqrt(c*x^4+b*x^2)+5/3*sqrt(c*x^4+b*x^2)/c^2/sqrt(x)-5/6*b^(3/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(9/4)/sqrt(c*x^4+b*x^2),1],
[x^(11/2)/(c*x^4+b*x^2)^(3/2),x,7,-x^(5/2)/c/sqrt(c*x^4+b*x^2)+3*x^(3/2)*(c*x^2+b)/c^(3/2)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-3*b^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2)+3/2*b^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/c^(7/4)/sqrt(c*x^4+b*x^2),1],
[x^(9/2)/(c*x^4+b*x^2)^(3/2),x,4,-x^(3/2)/c/sqrt(c*x^4+b*x^2)+1/2*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(1/4)/c^(5/4)/sqrt(c*x^4+b*x^2),1],
[x^(7/2)/(c*x^4+b*x^2)^(3/2),x,7,x^(5/2)/b/sqrt(c*x^4+b*x^2)-x^(3/2)*(c*x^2+b)/b/sqrt(c)/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)+x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(3/4)/c^(3/4)/sqrt(c*x^4+b*x^2)-1/2*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(3/4)/c^(3/4)/sqrt(c*x^4+b*x^2),1],
[x^(5/2)/(c*x^4+b*x^2)^(3/2),x,4,x^(3/2)/b/sqrt(c*x^4+b*x^2)+1/2*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(5/4)/c^(1/4)/sqrt(c*x^4+b*x^2),1],
[x^(3/2)/(c*x^4+b*x^2)^(3/2),x,8,sqrt(x)/b/sqrt(c*x^4+b*x^2)+3*sqrt(c)*x^(3/2)*(c*x^2+b)/b^2/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-3*sqrt(c*x^4+b*x^2)/b^2/x^(3/2)-3*c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2)+3/2*c^(1/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(c*x^4+b*x^2),1],
[sqrt(x)/(c*x^4+b*x^2)^(3/2),x,5,1/b/sqrt(x)/sqrt(c*x^4+b*x^2)-5/3*sqrt(c*x^4+b*x^2)/b^2/x^(5/2)-5/6*c^(3/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(c*x^4+b*x^2),1],
[1/sqrt(x)/(c*x^4+b*x^2)^(3/2),x,9,1/b/x^(3/2)/sqrt(c*x^4+b*x^2)-21/5*c^(3/2)*x^(3/2)*(c*x^2+b)/b^3/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-7/5*sqrt(c*x^4+b*x^2)/b^2/x^(7/2)+21/5*c*sqrt(c*x^4+b*x^2)/b^3/x^(3/2)+21/5*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(11/4)/sqrt(c*x^4+b*x^2)-21/10*c^(5/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(11/4)/sqrt(c*x^4+b*x^2),1],
[1/x^(3/2)/(c*x^4+b*x^2)^(3/2),x,6,1/b/x^(5/2)/sqrt(c*x^4+b*x^2)-9/7*sqrt(c*x^4+b*x^2)/b^2/x^(9/2)+15/7*c*sqrt(c*x^4+b*x^2)/b^3/x^(5/2)+15/14*c^(7/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(13/4)/sqrt(c*x^4+b*x^2),1],
[1/x^(5/2)/(c*x^4+b*x^2)^(3/2),x,10,1/b/x^(7/2)/sqrt(c*x^4+b*x^2)+77/15*c^(5/2)*x^(3/2)*(c*x^2+b)/b^4/(sqrt(b)+sqrt(c)*x)/sqrt(c*x^4+b*x^2)-11/9*sqrt(c*x^4+b*x^2)/b^2/x^(11/2)+77/45*c*sqrt(c*x^4+b*x^2)/b^3/x^(7/2)-77/15*c^2*sqrt(c*x^4+b*x^2)/b^4/x^(3/2)-77/15*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*EllipticE(sin(2*arctan(c^(1/4)*sqrt(x)/b^(1/4))),sqrt(1/2))/b^(15/4)/sqrt(c*x^4+b*x^2)+77/30*c^(9/4)*x*(sqrt(b)+sqrt(c)*x)*sqrt((c*x^2+b)/(sqrt(b)+sqrt(c)*x)^2)*InverseJacobiAM(2*arctan(c^(1/4)*sqrt(x)/b^(1/4)),sqrt(1/2))/b^(15/4)/sqrt(c*x^4+b*x^2),1],
[(d*x)^m*(c*x^4+b*x^2)^3,x,4,b^3*(d*x)^(7+m)/d^7/(7+m)+3*b^2*c*(d*x)^(9+m)/d^9/(9+m)+3*b*c^2*(d*x)^(11+m)/d^11/(11+m)+c^3*(d*x)^(13+m)/d^13/(13+m),1],
[(d*x)^m*(c*x^4+b*x^2)^2,x,4,b^2*(d*x)^(5+m)/d^5/(5+m)+2*b*c*(d*x)^(7+m)/d^7/(7+m)+c^2*(d*x)^(9+m)/d^9/(9+m),1],
[(d*x)^m*(c*x^4+b*x^2),x,4,b*(d*x)^(3+m)/d^3/(3+m)+c*(d*x)^(5+m)/d^5/(5+m),1],
[(d*x)^m/(c*x^4+b*x^2),x,3,-d*(d*x)^(-1+m)*hypergeom([1, -1/2+1/2*m],[1/2+1/2*m],-c*x^2/b)/b/(1-m),1],
[(d*x)^m/(c*x^4+b*x^2)^2,x,3,-d^3*(d*x)^(-3+m)*hypergeom([2, -3/2+1/2*m],[-1/2+1/2*m],-c*x^2/b)/b^2/(3-m),1],
[(d*x)^m/(c*x^4+b*x^2)^3,x,3,-d^5*(d*x)^(-5+m)*hypergeom([3, -5/2+1/2*m],[-3/2+1/2*m],-c*x^2/b)/b^3/(5-m),1],
[x^5*(b^2*x^4+2*a*b*x^2+a^2),x,4,1/6*a^2*x^6+1/4*a*b*x^8+1/10*b^2*x^10,1],
[x^3*(b^2*x^4+2*a*b*x^2+a^2),x,4,1/4*a^2*x^4+1/3*a*b*x^6+1/8*b^2*x^8,1],
[x*(b^2*x^4+2*a*b*x^2+a^2),x,2,1/6*(b*x^2+a)^3/b,1],
[(b^2*x^4+2*a*b*x^2+a^2)/x,x,4,a*b*x^2+1/4*b^2*x^4+a^2*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^3,x,4,-1/2*a^2/x^2+1/2*b^2*x^2+2*a*b*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^5,x,4,-1/4*a^2/x^4-a*b/x^2+b^2*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^7,x,2,-1/6*(b*x^2+a)^3/a/x^6,1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^9,x,4,-1/8*a^2/x^8-1/3*a*b/x^6-1/4*b^2/x^4,1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^11,x,4,-1/10*a^2/x^10-1/4*a*b/x^8-1/6*b^2/x^6,1],
[x^4*(b^2*x^4+2*a*b*x^2+a^2),x,3,1/5*a^2*x^5+2/7*a*b*x^7+1/9*b^2*x^9,1],
[x^2*(b^2*x^4+2*a*b*x^2+a^2),x,3,1/3*a^2*x^3+2/5*a*b*x^5+1/7*b^2*x^7,1],
[b^2*x^4+2*a*b*x^2+a^2,x,1,a^2*x+2/3*a*b*x^3+1/5*b^2*x^5,1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^2,x,3,-a^2/x+2*a*b*x+1/3*b^2*x^3,1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^4,x,3,-1/3*a^2/x^3-2*a*b/x+b^2*x,1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^6,x,3,-1/5*a^2/x^5-2/3*a*b/x^3-b^2/x,1],
[(b^2*x^4+2*a*b*x^2+a^2)/x^8,x,3,-1/7*a^2/x^7-2/5*a*b/x^5-1/3*b^2/x^3,1],
[x^9*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,1/10*a^4*x^10+1/3*a^3*b*x^12+3/7*a^2*b^2*x^14+1/4*a*b^3*x^16+1/18*b^4*x^18,1],
[x^7*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,1/8*a^4*x^8+2/5*a^3*b*x^10+1/2*a^2*b^2*x^12+2/7*a*b^3*x^14+1/16*b^4*x^16,1],
[x^5*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,1/10*a^2*(b*x^2+a)^5/b^3-1/6*a*(b*x^2+a)^6/b^3+1/14*(b*x^2+a)^7/b^3,1],
[x^3*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,-1/10*a*(b*x^2+a)^5/b^2+1/12*(b*x^2+a)^6/b^2,1],
[x*(b^2*x^4+2*a*b*x^2+a^2)^2,x,2,1/10*(b*x^2+a)^5/b,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x,x,4,2*a^3*b*x^2+3/2*a^2*b^2*x^4+2/3*a*b^3*x^6+1/8*b^4*x^8+a^4*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^3,x,4,-1/2*a^4/x^2+3*a^2*b^2*x^2+a*b^3*x^4+1/6*b^4*x^6+4*a^3*b*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^5,x,4,-1/4*a^4/x^4-2*a^3*b/x^2+2*a*b^3*x^2+1/4*b^4*x^4+6*a^2*b^2*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^7,x,4,-1/6*a^4/x^6-a^3*b/x^4-3*a^2*b^2/x^2+1/2*b^4*x^2+4*a*b^3*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^9,x,4,-1/8*a^4/x^8-2/3*a^3*b/x^6-3/2*a^2*b^2/x^4-2*a*b^3/x^2+b^4*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^11,x,2,-1/10*(b*x^2+a)^5/a/x^10,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^13,x,4,-1/12*(b*x^2+a)^5/a/x^12+1/60*b*(b*x^2+a)^5/a^2/x^10,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^15,x,4,-1/14*a^4/x^14-1/3*a^3*b/x^12-3/5*a^2*b^2/x^10-1/2*a*b^3/x^8-1/6*b^4/x^6,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^17,x,4,-1/16*a^4/x^16-2/7*a^3*b/x^14-1/2*a^2*b^2/x^12-2/5*a*b^3/x^10-1/8*b^4/x^8,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^19,x,4,-1/18*a^4/x^18-1/4*a^3*b/x^16-3/7*a^2*b^2/x^14-1/3*a*b^3/x^12-1/10*b^4/x^10,1],
[x^6*(b^2*x^4+2*a*b*x^2+a^2)^2,x,3,1/7*a^4*x^7+4/9*a^3*b*x^9+6/11*a^2*b^2*x^11+4/13*a*b^3*x^13+1/15*b^4*x^15,1],
[x^4*(b^2*x^4+2*a*b*x^2+a^2)^2,x,3,1/5*a^4*x^5+4/7*a^3*b*x^7+2/3*a^2*b^2*x^9+4/11*a*b^3*x^11+1/13*b^4*x^13,1],
[x^2*(b^2*x^4+2*a*b*x^2+a^2)^2,x,3,1/3*a^4*x^3+4/5*a^3*b*x^5+6/7*a^2*b^2*x^7+4/9*a*b^3*x^9+1/11*b^4*x^11,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2,x,3,a^4*x+4/3*a^3*b*x^3+6/5*a^2*b^2*x^5+4/7*a*b^3*x^7+1/9*b^4*x^9,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^2,x,3,-a^4/x+4*a^3*b*x+2*a^2*b^2*x^3+4/5*a*b^3*x^5+1/7*b^4*x^7,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^4,x,3,-1/3*a^4/x^3-4*a^3*b/x+6*a^2*b^2*x+4/3*a*b^3*x^3+1/5*b^4*x^5,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^6,x,3,-1/5*a^4/x^5-4/3*a^3*b/x^3-6*a^2*b^2/x+4*a*b^3*x+1/3*b^4*x^3,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^8,x,3,-1/7*a^4/x^7-4/5*a^3*b/x^5-2*a^2*b^2/x^3-4*a*b^3/x+b^4*x,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^10,x,3,-1/9*a^4/x^9-4/7*a^3*b/x^7-6/5*a^2*b^2/x^5-4/3*a*b^3/x^3-b^4/x,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^12,x,3,-1/11*a^4/x^11-4/9*a^3*b/x^9-6/7*a^2*b^2/x^7-4/5*a*b^3/x^5-1/3*b^4/x^3,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/x^14,x,3,-1/13*a^4/x^13-4/11*a^3*b/x^11-2/3*a^2*b^2/x^9-4/7*a*b^3/x^7-1/5*b^4/x^5,1],
[x^11*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/12*a^6*x^12+3/7*a^5*b*x^14+15/16*a^4*b^2*x^16+10/9*a^3*b^3*x^18+3/4*a^2*b^4*x^20+3/11*a*b^5*x^22+1/24*b^6*x^24,1],
[x^9*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/14*a^4*(b*x^2+a)^7/b^5-1/4*a^3*(b*x^2+a)^8/b^5+1/3*a^2*(b*x^2+a)^9/b^5-1/5*a*(b*x^2+a)^10/b^5+1/22*(b*x^2+a)^11/b^5,1],
[x^7*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,-1/14*a^3*(b*x^2+a)^7/b^4+3/16*a^2*(b*x^2+a)^8/b^4-1/6*a*(b*x^2+a)^9/b^4+1/20*(b*x^2+a)^10/b^4,1],
[x^5*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/14*a^2*(b*x^2+a)^7/b^3-1/8*a*(b*x^2+a)^8/b^3+1/18*(b*x^2+a)^9/b^3,1],
[x^3*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,-1/14*a*(b*x^2+a)^7/b^2+1/16*(b*x^2+a)^8/b^2,1],
[x*(b^2*x^4+2*a*b*x^2+a^2)^3,x,2,1/14*(b*x^2+a)^7/b,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x,x,4,3*a^5*b*x^2+15/4*a^4*b^2*x^4+10/3*a^3*b^3*x^6+15/8*a^2*b^4*x^8+3/5*a*b^5*x^10+1/12*b^6*x^12+a^6*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^3,x,4,-1/2*a^6/x^2+15/2*a^4*b^2*x^2+5*a^3*b^3*x^4+5/2*a^2*b^4*x^6+3/4*a*b^5*x^8+1/10*b^6*x^10+6*a^5*b*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^5,x,4,-1/4*a^6/x^4-3*a^5*b/x^2+10*a^3*b^3*x^2+15/4*a^2*b^4*x^4+a*b^5*x^6+1/8*b^6*x^8+15*a^4*b^2*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^7,x,4,-1/6*a^6/x^6-3/2*a^5*b/x^4-15/2*a^4*b^2/x^2+15/2*a^2*b^4*x^2+3/2*a*b^5*x^4+1/6*b^6*x^6+20*a^3*b^3*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^9,x,4,-1/8*a^6/x^8-a^5*b/x^6-15/4*a^4*b^2/x^4-10*a^3*b^3/x^2+3*a*b^5*x^2+1/4*b^6*x^4+15*a^2*b^4*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^11,x,4,-1/10*a^6/x^10-3/4*a^5*b/x^8-5/2*a^4*b^2/x^6-5*a^3*b^3/x^4-15/2*a^2*b^4/x^2+1/2*b^6*x^2+6*a*b^5*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^13,x,4,-1/12*a^6/x^12-3/5*a^5*b/x^10-15/8*a^4*b^2/x^8-10/3*a^3*b^3/x^6-15/4*a^2*b^4/x^4-3*a*b^5/x^2+b^6*ln(x),1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^15,x,2,-1/14*(b*x^2+a)^7/a/x^14,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^17,x,4,-1/16*(b*x^2+a)^7/a/x^16+1/112*b*(b*x^2+a)^7/a^2/x^14,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^19,x,5,-1/18*(b*x^2+a)^7/a/x^18+1/72*b*(b*x^2+a)^7/a^2/x^16-1/504*b^2*(b*x^2+a)^7/a^3/x^14,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^21,x,6,-1/20*(b*x^2+a)^7/a/x^20+1/60*b*(b*x^2+a)^7/a^2/x^18-1/240*b^2*(b*x^2+a)^7/a^3/x^16+1/1680*b^3*(b*x^2+a)^7/a^4/x^14,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^23,x,4,-1/22*a^6/x^22-3/10*a^5*b/x^20-5/6*a^4*b^2/x^18-5/4*a^3*b^3/x^16-15/14*a^2*b^4/x^14-1/2*a*b^5/x^12-1/10*b^6/x^10,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^25,x,4,-1/24*a^6/x^24-3/11*a^5*b/x^22-3/4*a^4*b^2/x^20-10/9*a^3*b^3/x^18-15/16*a^2*b^4/x^16-3/7*a*b^5/x^14-1/12*b^6/x^12,1],
[x^8*(b^2*x^4+2*a*b*x^2+a^2)^3,x,3,1/9*a^6*x^9+6/11*a^5*b*x^11+15/13*a^4*b^2*x^13+4/3*a^3*b^3*x^15+15/17*a^2*b^4*x^17+6/19*a*b^5*x^19+1/21*b^6*x^21,1],
[x^6*(b^2*x^4+2*a*b*x^2+a^2)^3,x,3,1/7*a^6*x^7+2/3*a^5*b*x^9+15/11*a^4*b^2*x^11+20/13*a^3*b^3*x^13+a^2*b^4*x^15+6/17*a*b^5*x^17+1/19*b^6*x^19,1],
[x^4*(b^2*x^4+2*a*b*x^2+a^2)^3,x,3,1/5*a^6*x^5+6/7*a^5*b*x^7+5/3*a^4*b^2*x^9+20/11*a^3*b^3*x^11+15/13*a^2*b^4*x^13+2/5*a*b^5*x^15+1/17*b^6*x^17,1],
[x^2*(b^2*x^4+2*a*b*x^2+a^2)^3,x,3,1/3*a^6*x^3+6/5*a^5*b*x^5+15/7*a^4*b^2*x^7+20/9*a^3*b^3*x^9+15/11*a^2*b^4*x^11+6/13*a*b^5*x^13+1/15*b^6*x^15,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3,x,3,a^6*x+2*a^5*b*x^3+3*a^4*b^2*x^5+20/7*a^3*b^3*x^7+5/3*a^2*b^4*x^9+6/11*a*b^5*x^11+1/13*b^6*x^13,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^2,x,3,-a^6/x+6*a^5*b*x+5*a^4*b^2*x^3+4*a^3*b^3*x^5+15/7*a^2*b^4*x^7+2/3*a*b^5*x^9+1/11*b^6*x^11,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^4,x,3,-1/3*a^6/x^3-6*a^5*b/x+15*a^4*b^2*x+20/3*a^3*b^3*x^3+3*a^2*b^4*x^5+6/7*a*b^5*x^7+1/9*b^6*x^9,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^6,x,3,-1/5*a^6/x^5-2*a^5*b/x^3-15*a^4*b^2/x+20*a^3*b^3*x+5*a^2*b^4*x^3+6/5*a*b^5*x^5+1/7*b^6*x^7,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^8,x,3,-1/7*a^6/x^7-6/5*a^5*b/x^5-5*a^4*b^2/x^3-20*a^3*b^3/x+15*a^2*b^4*x+2*a*b^5*x^3+1/5*b^6*x^5,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^10,x,3,-1/9*a^6/x^9-6/7*a^5*b/x^7-3*a^4*b^2/x^5-20/3*a^3*b^3/x^3-15*a^2*b^4/x+6*a*b^5*x+1/3*b^6*x^3,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^12,x,3,-1/11*a^6/x^11-2/3*a^5*b/x^9-15/7*a^4*b^2/x^7-4*a^3*b^3/x^5-5*a^2*b^4/x^3-6*a*b^5/x+b^6*x,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^14,x,3,-1/13*a^6/x^13-6/11*a^5*b/x^11-5/3*a^4*b^2/x^9-20/7*a^3*b^3/x^7-3*a^2*b^4/x^5-2*a*b^5/x^3-b^6/x,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/x^16,x,3,-1/15*a^6/x^15-6/13*a^5*b/x^13-15/11*a^4*b^2/x^11-20/9*a^3*b^3/x^9-15/7*a^2*b^4/x^7-6/5*a*b^5/x^5-1/3*b^6/x^3,1],
[x^11/(b^2*x^4+2*a*b*x^2+a^2),x,4,-2*a^3*x^2/b^5+3/4*a^2*x^4/b^4-1/3*a*x^6/b^3+1/8*x^8/b^2+1/2*a^5/b^6/(b*x^2+a)+5/2*a^4*ln(b*x^2+a)/b^6,1],
[x^9/(b^2*x^4+2*a*b*x^2+a^2),x,4,3/2*a^2*x^2/b^4-1/2*a*x^4/b^3+1/6*x^6/b^2-1/2*a^4/b^5/(b*x^2+a)-2*a^3*ln(b*x^2+a)/b^5,1],
[x^7/(b^2*x^4+2*a*b*x^2+a^2),x,4,-a*x^2/b^3+1/4*x^4/b^2+1/2*a^3/b^4/(b*x^2+a)+3/2*a^2*ln(b*x^2+a)/b^4,1],
[x^5/(b^2*x^4+2*a*b*x^2+a^2),x,4,1/2*x^2/b^2-1/2*a^2/b^3/(b*x^2+a)-a*ln(b*x^2+a)/b^3,1],
[x^3/(b^2*x^4+2*a*b*x^2+a^2),x,4,1/2*a/b^2/(b*x^2+a)+1/2*ln(b*x^2+a)/b^2,1],
[x/(b^2*x^4+2*a*b*x^2+a^2),x,2,-1/2/b/(b*x^2+a),1],
[1/x/(b^2*x^4+2*a*b*x^2+a^2),x,4,1/2/a/(b*x^2+a)+ln(x)/a^2-1/2*ln(b*x^2+a)/a^2,1],
[1/x^3/(b^2*x^4+2*a*b*x^2+a^2),x,4,-1/2/a^2/x^2-1/2*b/a^2/(b*x^2+a)-2*b*ln(x)/a^3+b*ln(b*x^2+a)/a^3,1],
[1/x^5/(b^2*x^4+2*a*b*x^2+a^2),x,4,-1/4/a^2/x^4+b/a^3/x^2+1/2*b^2/a^3/(b*x^2+a)+3*b^2*ln(x)/a^4-3/2*b^2*ln(b*x^2+a)/a^4,1],
[x^10/(b^2*x^4+2*a*b*x^2+a^2),x,5,-4*a^3*x/b^5+a^2*x^3/b^4-2/5*a*x^5/b^3+1/7*x^7/b^2-1/2*a^4*x/b^5/(b*x^2+a)+9/2*a^(7/2)*arctan(sqrt(b)*x/sqrt(a))/b^(11/2),1],
[x^8/(b^2*x^4+2*a*b*x^2+a^2),x,5,3*a^2*x/b^4-2/3*a*x^3/b^3+1/5*x^5/b^2+1/2*a^3*x/b^4/(b*x^2+a)-7/2*a^(5/2)*arctan(sqrt(b)*x/sqrt(a))/b^(9/2),1],
[x^6/(b^2*x^4+2*a*b*x^2+a^2),x,5,-2*a*x/b^3+1/3*x^3/b^2-1/2*a^2*x/b^3/(b*x^2+a)+5/2*a^(3/2)*arctan(sqrt(b)*x/sqrt(a))/b^(7/2),1],
[x^4/(b^2*x^4+2*a*b*x^2+a^2),x,5,x/b^2+1/2*a*x/b^2/(b*x^2+a)-3/2*sqrt(a)*arctan(sqrt(b)*x/sqrt(a))/b^(5/2),1],
[x^2/(b^2*x^4+2*a*b*x^2+a^2),x,3,-1/2*x/b/(b*x^2+a)+1/2*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(3/2),1],
[1/(b^2*x^4+2*a*b*x^2+a^2),x,3,1/2*x/a/(b*x^2+a)+1/2*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/sqrt(b),1],
[1/x^2/(b^2*x^4+2*a*b*x^2+a^2),x,4,-1/a^2/x-1/2*b*x/a^2/(b*x^2+a)-3/2*sqrt(b)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2),1],
[1/x^4/(b^2*x^4+2*a*b*x^2+a^2),x,5,-1/3/a^2/x^3+2*b/a^3/x+1/2*b^2*x/a^3/(b*x^2+a)+5/2*b^(3/2)*arctan(sqrt(b)*x/sqrt(a))/a^(7/2),1],
[1/x^6/(b^2*x^4+2*a*b*x^2+a^2),x,5,-1/5/a^2/x^5+2/3*b/a^3/x^3-3*b^2/a^4/x-1/2*b^3*x/a^4/(b*x^2+a)-7/2*b^(5/2)*arctan(sqrt(b)*x/sqrt(a))/a^(9/2),1],
[x^11/(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,-2*a*x^2/b^5+1/4*x^4/b^4+1/6*a^5/b^6/(b*x^2+a)^3-5/4*a^4/b^6/(b*x^2+a)^2+5*a^3/b^6/(b*x^2+a)+5*a^2*ln(b*x^2+a)/b^6,1],
[x^9/(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,1/2*x^2/b^4-1/6*a^4/b^5/(b*x^2+a)^3+a^3/b^5/(b*x^2+a)^2-3*a^2/b^5/(b*x^2+a)-2*a*ln(b*x^2+a)/b^5,1],
[x^7/(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,1/6*a^3/b^4/(b*x^2+a)^3-3/4*a^2/b^4/(b*x^2+a)^2+3/2*a/b^4/(b*x^2+a)+1/2*ln(b*x^2+a)/b^4,1],
[x^5/(b^2*x^4+2*a*b*x^2+a^2)^2,x,2,1/6*x^6/a/(b*x^2+a)^3,1],
[x^3/(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,1/6*a/b^2/(b*x^2+a)^3-1/4/b^2/(b*x^2+a)^2,1],
[x/(b^2*x^4+2*a*b*x^2+a^2)^2,x,2,-1/6/b/(b*x^2+a)^3,1],
[1/x/(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,1/6/a/(b*x^2+a)^3+1/4/a^2/(b*x^2+a)^2+1/2/a^3/(b*x^2+a)+ln(x)/a^4-1/2*ln(b*x^2+a)/a^4,1],
[1/x^3/(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,-1/2/a^4/x^2-1/6*b/a^2/(b*x^2+a)^3-1/2*b/a^3/(b*x^2+a)^2-3/2*b/a^4/(b*x^2+a)-4*b*ln(x)/a^5+2*b*ln(b*x^2+a)/a^5,1],
[1/x^5/(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,-1/4/a^4/x^4+2*b/a^5/x^2+1/6*b^2/a^3/(b*x^2+a)^3+3/4*b^2/a^4/(b*x^2+a)^2+3*b^2/a^5/(b*x^2+a)+10*b^2*ln(x)/a^6-5*b^2*ln(b*x^2+a)/a^6,1],
[x^12/(b^2*x^4+2*a*b*x^2+a^2)^2,x,7,10*a^2*x/b^6-4/3*a*x^3/b^5+1/5*x^5/b^4+1/6*a^5*x/b^6/(b*x^2+a)^3-31/24*a^4*x/b^6/(b*x^2+a)^2+89/16*a^3*x/b^6/(b*x^2+a)-231/16*a^(5/2)*arctan(sqrt(b)*x/sqrt(a))/b^(13/2),1],
[x^10/(b^2*x^4+2*a*b*x^2+a^2)^2,x,7,-4*a*x/b^5+1/3*x^3/b^4-1/6*a^4*x/b^5/(b*x^2+a)^3+25/24*a^3*x/b^5/(b*x^2+a)^2-55/16*a^2*x/b^5/(b*x^2+a)+105/16*a^(3/2)*arctan(sqrt(b)*x/sqrt(a))/b^(11/2),1],
[x^8/(b^2*x^4+2*a*b*x^2+a^2)^2,x,7,x/b^4+1/6*a^3*x/b^4/(b*x^2+a)^3-19/24*a^2*x/b^4/(b*x^2+a)^2+29/16*a*x/b^4/(b*x^2+a)-35/16*sqrt(a)*arctan(sqrt(b)*x/sqrt(a))/b^(9/2),1],
[x^6/(b^2*x^4+2*a*b*x^2+a^2)^2,x,5,-1/6*x^5/b/(b*x^2+a)^3-5/24*x^3/b^2/(b*x^2+a)^2-5/16*x/b^3/(b*x^2+a)+5/16*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(7/2),1],
[x^4/(b^2*x^4+2*a*b*x^2+a^2)^2,x,5,-1/6*x^3/b/(b*x^2+a)^3-1/8*x/b^2/(b*x^2+a)^2+1/16*x/a/b^2/(b*x^2+a)+1/16*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(5/2),1],
[x^2/(b^2*x^4+2*a*b*x^2+a^2)^2,x,5,-1/6*x/b/(b*x^2+a)^3+1/24*x/a/b/(b*x^2+a)^2+1/16*x/a^2/b/(b*x^2+a)+1/16*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/b^(3/2),1],
[1/(b^2*x^4+2*a*b*x^2+a^2)^2,x,5,1/6*x/a/(b*x^2+a)^3+5/24*x/a^2/(b*x^2+a)^2+5/16*x/a^3/(b*x^2+a)+5/16*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/sqrt(b),1],
[1/x^2/(b^2*x^4+2*a*b*x^2+a^2)^2,x,6,-1/a^4/x-1/6*b*x/a^2/(b*x^2+a)^3-11/24*b*x/a^3/(b*x^2+a)^2-19/16*b*x/a^4/(b*x^2+a)-35/16*sqrt(b)*arctan(sqrt(b)*x/sqrt(a))/a^(9/2),1],
[1/x^4/(b^2*x^4+2*a*b*x^2+a^2)^2,x,7,-1/3/a^4/x^3+4*b/a^5/x+1/6*b^2*x/a^3/(b*x^2+a)^3+17/24*b^2*x/a^4/(b*x^2+a)^2+41/16*b^2*x/a^5/(b*x^2+a)+105/16*b^(3/2)*arctan(sqrt(b)*x/sqrt(a))/a^(11/2),1],
[1/x^6/(b^2*x^4+2*a*b*x^2+a^2)^2,x,7,-1/5/a^4/x^5+4/3*b/a^5/x^3-10*b^2/a^6/x-1/6*b^3*x/a^4/(b*x^2+a)^3-23/24*b^3*x/a^5/(b*x^2+a)^2-71/16*b^3*x/a^6/(b*x^2+a)-231/16*b^(5/2)*arctan(sqrt(b)*x/sqrt(a))/a^(13/2),1],
[x^15/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,-3*a*x^2/b^7+1/4*x^4/b^6+1/10*a^7/b^8/(b*x^2+a)^5-7/8*a^6/b^8/(b*x^2+a)^4+7/2*a^5/b^8/(b*x^2+a)^3-35/4*a^4/b^8/(b*x^2+a)^2+35/2*a^3/b^8/(b*x^2+a)+21/2*a^2*ln(b*x^2+a)/b^8,1],
[x^13/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/2*x^2/b^6-1/10*a^6/b^7/(b*x^2+a)^5+3/4*a^5/b^7/(b*x^2+a)^4-5/2*a^4/b^7/(b*x^2+a)^3+5*a^3/b^7/(b*x^2+a)^2-15/2*a^2/b^7/(b*x^2+a)-3*a*ln(b*x^2+a)/b^7,1],
[x^11/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/10*a^5/b^6/(b*x^2+a)^5-5/8*a^4/b^6/(b*x^2+a)^4+5/3*a^3/b^6/(b*x^2+a)^3-5/2*a^2/b^6/(b*x^2+a)^2+5/2*a/b^6/(b*x^2+a)+1/2*ln(b*x^2+a)/b^6,1],
[x^9/(b^2*x^4+2*a*b*x^2+a^2)^3,x,2,1/10*x^10/a/(b*x^2+a)^5,1],
[x^7/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/10*x^8/a/(b*x^2+a)^5+1/40*x^8/a^2/(b*x^2+a)^4,1],
[x^5/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,-1/10*a^2/b^3/(b*x^2+a)^5+1/4*a/b^3/(b*x^2+a)^4-1/6/b^3/(b*x^2+a)^3,1],
[x^3/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/10*a/b^2/(b*x^2+a)^5-1/8/b^2/(b*x^2+a)^4,1],
[x/(b^2*x^4+2*a*b*x^2+a^2)^3,x,2,-1/10/b/(b*x^2+a)^5,1],
[1/x/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,1/10/a/(b*x^2+a)^5+1/8/a^2/(b*x^2+a)^4+1/6/a^3/(b*x^2+a)^3+1/4/a^4/(b*x^2+a)^2+1/2/a^5/(b*x^2+a)+ln(x)/a^6-1/2*ln(b*x^2+a)/a^6,1],
[1/x^3/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,-1/2/a^6/x^2-1/10*b/a^2/(b*x^2+a)^5-1/4*b/a^3/(b*x^2+a)^4-1/2*b/a^4/(b*x^2+a)^3-b/a^5/(b*x^2+a)^2-5/2*b/a^6/(b*x^2+a)-6*b*ln(x)/a^7+3*b*ln(b*x^2+a)/a^7,1],
[1/x^5/(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,-1/4/a^6/x^4+3*b/a^7/x^2+1/10*b^2/a^3/(b*x^2+a)^5+3/8*b^2/a^4/(b*x^2+a)^4+b^2/a^5/(b*x^2+a)^3+5/2*b^2/a^6/(b*x^2+a)^2+15/2*b^2/a^7/(b*x^2+a)+21*b^2*ln(x)/a^8-21/2*b^2*ln(b*x^2+a)/a^8,1],
[x^16/(b^2*x^4+2*a*b*x^2+a^2)^3,x,9,21*a^2*x/b^8-2*a*x^3/b^7+1/5*x^5/b^6+1/10*a^7*x/b^8/(b*x^2+a)^5-71/80*a^6*x/b^8/(b*x^2+a)^4+581/160*a^5*x/b^8/(b*x^2+a)^3-1211/128*a^4*x/b^8/(b*x^2+a)^2+5327/256*a^3*x/b^8/(b*x^2+a)-9009/256*a^(5/2)*arctan(sqrt(b)*x/sqrt(a))/b^(17/2),1],
[x^14/(b^2*x^4+2*a*b*x^2+a^2)^3,x,9,-6*a*x/b^7+1/3*x^3/b^6-1/10*a^6*x/b^7/(b*x^2+a)^5+61/80*a^5*x/b^7/(b*x^2+a)^4-1253/480*a^4*x/b^7/(b*x^2+a)^3+2107/384*a^3*x/b^7/(b*x^2+a)^2-2373/256*a^2*x/b^7/(b*x^2+a)+3003/256*a^(3/2)*arctan(sqrt(b)*x/sqrt(a))/b^(15/2),1],
[x^12/(b^2*x^4+2*a*b*x^2+a^2)^3,x,9,x/b^6+1/10*a^5*x/b^6/(b*x^2+a)^5-51/80*a^4*x/b^6/(b*x^2+a)^4+281/160*a^3*x/b^6/(b*x^2+a)^3-359/128*a^2*x/b^6/(b*x^2+a)^2+843/256*a*x/b^6/(b*x^2+a)-693/256*sqrt(a)*arctan(sqrt(b)*x/sqrt(a))/b^(13/2),1],
[x^10/(b^2*x^4+2*a*b*x^2+a^2)^3,x,7,-1/10*x^9/b/(b*x^2+a)^5-9/80*x^7/b^2/(b*x^2+a)^4-21/160*x^5/b^3/(b*x^2+a)^3-21/128*x^3/b^4/(b*x^2+a)^2-63/256*x/b^5/(b*x^2+a)+63/256*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(11/2),1],
[x^8/(b^2*x^4+2*a*b*x^2+a^2)^3,x,7,-1/10*x^7/b/(b*x^2+a)^5-7/80*x^5/b^2/(b*x^2+a)^4-7/96*x^3/b^3/(b*x^2+a)^3-7/128*x/b^4/(b*x^2+a)^2+7/256*x/a/b^4/(b*x^2+a)+7/256*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(9/2),1],
[x^6/(b^2*x^4+2*a*b*x^2+a^2)^3,x,7,-1/10*x^5/b/(b*x^2+a)^5-1/16*x^3/b^2/(b*x^2+a)^4-1/32*x/b^3/(b*x^2+a)^3+1/128*x/a/b^3/(b*x^2+a)^2+3/256*x/a^2/b^3/(b*x^2+a)+3/256*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/b^(7/2),1],
[x^4/(b^2*x^4+2*a*b*x^2+a^2)^3,x,7,-1/10*x^3/b/(b*x^2+a)^5-3/80*x/b^2/(b*x^2+a)^4+1/160*x/a/b^2/(b*x^2+a)^3+1/128*x/a^2/b^2/(b*x^2+a)^2+3/256*x/a^3/b^2/(b*x^2+a)+3/256*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/b^(5/2),1],
[x^2/(b^2*x^4+2*a*b*x^2+a^2)^3,x,7,-1/10*x/b/(b*x^2+a)^5+1/80*x/a/b/(b*x^2+a)^4+7/480*x/a^2/b/(b*x^2+a)^3+7/384*x/a^3/b/(b*x^2+a)^2+7/256*x/a^4/b/(b*x^2+a)+7/256*arctan(sqrt(b)*x/sqrt(a))/a^(9/2)/b^(3/2),1],
[1/(b^2*x^4+2*a*b*x^2+a^2)^3,x,7,1/10*x/a/(b*x^2+a)^5+9/80*x/a^2/(b*x^2+a)^4+21/160*x/a^3/(b*x^2+a)^3+21/128*x/a^4/(b*x^2+a)^2+63/256*x/a^5/(b*x^2+a)+63/256*arctan(sqrt(b)*x/sqrt(a))/a^(11/2)/sqrt(b),1],
[1/x^2/(b^2*x^4+2*a*b*x^2+a^2)^3,x,8,-1/a^6/x-1/10*b*x/a^2/(b*x^2+a)^5-19/80*b*x/a^3/(b*x^2+a)^4-71/160*b*x/a^4/(b*x^2+a)^3-103/128*b*x/a^5/(b*x^2+a)^2-437/256*b*x/a^6/(b*x^2+a)-693/256*sqrt(b)*arctan(sqrt(b)*x/sqrt(a))/a^(13/2),1],
[1/x^4/(b^2*x^4+2*a*b*x^2+a^2)^3,x,9,-1/3/a^6/x^3+6*b/a^7/x+1/10*b^2*x/a^3/(b*x^2+a)^5+29/80*b^2*x/a^4/(b*x^2+a)^4+443/480*b^2*x/a^5/(b*x^2+a)^3+827/384*b^2*x/a^6/(b*x^2+a)^2+1467/256*b^2*x/a^7/(b*x^2+a)+3003/256*b^(3/2)*arctan(sqrt(b)*x/sqrt(a))/a^(15/2),1],
[1/x^6/(b^2*x^4+2*a*b*x^2+a^2)^3,x,9,-1/5/a^6/x^5+2*b/a^7/x^3-21*b^2/a^8/x-1/10*b^3*x/a^4/(b*x^2+a)^5-39/80*b^3*x/a^5/(b*x^2+a)^4-251/160*b^3*x/a^6/(b*x^2+a)^3-571/128*b^3*x/a^7/(b*x^2+a)^2-3633/256*b^3*x/a^8/(b*x^2+a)-9009/256*b^(5/2)*arctan(sqrt(b)*x/sqrt(a))/a^(17/2),1],
[1/(x^4+2*x^2+1),x,3,x/(2*x^2+2)+1/2*arctan(x),1],
[x/(x^4+2*x^2+1),x,2,-1/2/(x^2+1),1],
[x^2/(x^4+2*x^2+1),x,3,-1/2*x/(x^2+1)+1/2*arctan(x),1],
[x^3/(x^4+2*x^2+1),x,4,1/(2*x^2+2)+1/2*ln(x^2+1),1],
[x/(x^4-18*x^2+81),x,2,1/(-2*x^2+18),1],
[x^3/(x^4-8*x^2+16),x,4,2/(-x^2+4)+1/2*ln(-x^2+4),1],
[(d*x)^(5/2)*(b^2*x^4+2*a*b*x^2+a^2),x,4,2/7*a^2*(d*x)^(7/2)/d+4/11*a*b*(d*x)^(11/2)/d^3+2/15*b^2*(d*x)^(15/2)/d^5,1],
[(d*x)^(3/2)*(b^2*x^4+2*a*b*x^2+a^2),x,4,2/5*a^2*(d*x)^(5/2)/d+4/9*a*b*(d*x)^(9/2)/d^3+2/13*b^2*(d*x)^(13/2)/d^5,1],
[sqrt(d*x)*(b^2*x^4+2*a*b*x^2+a^2),x,4,2/3*a^2*(d*x)^(3/2)/d+4/7*a*b*(d*x)^(7/2)/d^3+2/11*b^2*(d*x)^(11/2)/d^5,1],
[(b^2*x^4+2*a*b*x^2+a^2)/sqrt(d*x),x,4,2*a^2*sqrt(d*x)/d+4/5*a*b*(d*x)^(5/2)/d^3+2/9*b^2*(d*x)^(9/2)/d^5,1],
[(b^2*x^4+2*a*b*x^2+a^2)/(d*x)^(3/2),x,4,-2*a^2/d/sqrt(d*x)+4/3*a*b*(d*x)^(3/2)/d^3+2/7*b^2*(d*x)^(7/2)/d^5,1],
[(b^2*x^4+2*a*b*x^2+a^2)/(d*x)^(5/2),x,4,-2/3*a^2/d/(d*x)^(3/2)+4*a*b*sqrt(d*x)/d^3+2/5*b^2*(d*x)^(5/2)/d^5,1],
[(b^2*x^4+2*a*b*x^2+a^2)/(d*x)^(7/2),x,4,-2/5*a^2/d/(d*x)^(5/2)-4*a*b/d^3/sqrt(d*x)+2/3*b^2*(d*x)^(3/2)/d^5,1],
[(d*x)^(5/2)*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,2/7*a^4*(d*x)^(7/2)/d+8/11*a^3*b*(d*x)^(11/2)/d^3+4/5*a^2*b^2*(d*x)^(15/2)/d^5+8/19*a*b^3*(d*x)^(19/2)/d^7+2/23*b^4*(d*x)^(23/2)/d^9,1],
[(d*x)^(3/2)*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,2/5*a^4*(d*x)^(5/2)/d+8/9*a^3*b*(d*x)^(9/2)/d^3+12/13*a^2*b^2*(d*x)^(13/2)/d^5+8/17*a*b^3*(d*x)^(17/2)/d^7+2/21*b^4*(d*x)^(21/2)/d^9,1],
[sqrt(d*x)*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,2/3*a^4*(d*x)^(3/2)/d+8/7*a^3*b*(d*x)^(7/2)/d^3+12/11*a^2*b^2*(d*x)^(11/2)/d^5+8/15*a*b^3*(d*x)^(15/2)/d^7+2/19*b^4*(d*x)^(19/2)/d^9,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/sqrt(d*x),x,4,2*a^4*sqrt(d*x)/d+8/5*a^3*b*(d*x)^(5/2)/d^3+4/3*a^2*b^2*(d*x)^(9/2)/d^5+8/13*a*b^3*(d*x)^(13/2)/d^7+2/17*b^4*(d*x)^(17/2)/d^9,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/(d*x)^(3/2),x,4,-2*a^4/d/sqrt(d*x)+8/3*a^3*b*(d*x)^(3/2)/d^3+12/7*a^2*b^2*(d*x)^(7/2)/d^5+8/11*a*b^3*(d*x)^(11/2)/d^7+2/15*b^4*(d*x)^(15/2)/d^9,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/(d*x)^(5/2),x,4,-2/3*a^4/d/(d*x)^(3/2)+8*a^3*b*sqrt(d*x)/d^3+12/5*a^2*b^2*(d*x)^(5/2)/d^5+8/9*a*b^3*(d*x)^(9/2)/d^7+2/13*b^4*(d*x)^(13/2)/d^9,1],
[(b^2*x^4+2*a*b*x^2+a^2)^2/(d*x)^(7/2),x,4,-2/5*a^4/d/(d*x)^(5/2)-8*a^3*b/d^3/sqrt(d*x)+4*a^2*b^2*(d*x)^(3/2)/d^5+8/7*a*b^3*(d*x)^(7/2)/d^7+2/11*b^4*(d*x)^(11/2)/d^9,1],
[(d*x)^(5/2)*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,2/7*a^6*(d*x)^(7/2)/d+12/11*a^5*b*(d*x)^(11/2)/d^3+2*a^4*b^2*(d*x)^(15/2)/d^5+40/19*a^3*b^3*(d*x)^(19/2)/d^7+30/23*a^2*b^4*(d*x)^(23/2)/d^9+4/9*a*b^5*(d*x)^(27/2)/d^11+2/31*b^6*(d*x)^(31/2)/d^13,1],
[(d*x)^(3/2)*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,2/5*a^6*(d*x)^(5/2)/d+4/3*a^5*b*(d*x)^(9/2)/d^3+30/13*a^4*b^2*(d*x)^(13/2)/d^5+40/17*a^3*b^3*(d*x)^(17/2)/d^7+10/7*a^2*b^4*(d*x)^(21/2)/d^9+12/25*a*b^5*(d*x)^(25/2)/d^11+2/29*b^6*(d*x)^(29/2)/d^13,1],
[sqrt(d*x)*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,2/3*a^6*(d*x)^(3/2)/d+12/7*a^5*b*(d*x)^(7/2)/d^3+30/11*a^4*b^2*(d*x)^(11/2)/d^5+8/3*a^3*b^3*(d*x)^(15/2)/d^7+30/19*a^2*b^4*(d*x)^(19/2)/d^9+12/23*a*b^5*(d*x)^(23/2)/d^11+2/27*b^6*(d*x)^(27/2)/d^13,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/sqrt(d*x),x,4,2*a^6*sqrt(d*x)/d+12/5*a^5*b*(d*x)^(5/2)/d^3+10/3*a^4*b^2*(d*x)^(9/2)/d^5+40/13*a^3*b^3*(d*x)^(13/2)/d^7+30/17*a^2*b^4*(d*x)^(17/2)/d^9+4/7*a*b^5*(d*x)^(21/2)/d^11+2/25*b^6*(d*x)^(25/2)/d^13,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/(d*x)^(3/2),x,4,-2*a^6/d/sqrt(d*x)+4*a^5*b*(d*x)^(3/2)/d^3+30/7*a^4*b^2*(d*x)^(7/2)/d^5+40/11*a^3*b^3*(d*x)^(11/2)/d^7+2*a^2*b^4*(d*x)^(15/2)/d^9+12/19*a*b^5*(d*x)^(19/2)/d^11+2/23*b^6*(d*x)^(23/2)/d^13,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/(d*x)^(5/2),x,4,-2/3*a^6/d/(d*x)^(3/2)+12*a^5*b*sqrt(d*x)/d^3+6*a^4*b^2*(d*x)^(5/2)/d^5+40/9*a^3*b^3*(d*x)^(9/2)/d^7+30/13*a^2*b^4*(d*x)^(13/2)/d^9+12/17*a*b^5*(d*x)^(17/2)/d^11+2/21*b^6*(d*x)^(21/2)/d^13,1],
[(b^2*x^4+2*a*b*x^2+a^2)^3/(d*x)^(7/2),x,4,-2/5*a^6/d/(d*x)^(5/2)-12*a^5*b/d^3/sqrt(d*x)+10*a^4*b^2*(d*x)^(3/2)/d^5+40/7*a^3*b^3*(d*x)^(7/2)/d^7+30/11*a^2*b^4*(d*x)^(11/2)/d^9+4/5*a*b^5*(d*x)^(15/2)/d^11+2/19*b^6*(d*x)^(19/2)/d^13,1],
[(d*x)^(11/2)/(b^2*x^4+2*a*b*x^2+a^2),x,14,-9/2*a*d^5*sqrt(d*x)/b^3+9/10*d^3*(d*x)^(5/2)/b^2-1/2*d*(d*x)^(9/2)/b/(b*x^2+a)-9/4*a^(5/4)*d^(11/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(13/4)+9/4*a^(5/4)*d^(11/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(13/4)+9/4*a^(5/4)*d^(11/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(13/4),1],
[(d*x)^(9/2)/(b^2*x^4+2*a*b*x^2+a^2),x,13,7/6*d^3*(d*x)^(3/2)/b^2-1/2*d*(d*x)^(7/2)/b/(b*x^2+a)+7/4*a^(3/4)*d^(9/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(11/4)-7/4*a^(3/4)*d^(9/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(11/4)+7/4*a^(3/4)*d^(9/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(11/4),1],
[(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2),x,13,5/2*d^3*sqrt(d*x)/b^2-1/2*d*(d*x)^(5/2)/b/(b*x^2+a)+5/4*a^(1/4)*d^(7/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(9/4)-5/4*a^(1/4)*d^(7/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(9/4)-5/4*a^(1/4)*d^(7/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(9/4),1],
[(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2),x,12,-1/2*d*(d*x)^(3/2)/b/(b*x^2+a)-3/4*d^(5/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(7/4)+3/4*d^(5/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(7/4)-3/4*d^(5/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(7/4),1],
[(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2),x,12,-1/2*d*sqrt(d*x)/b/(b*x^2+a)-1/4*d^(3/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(5/4)+1/4*d^(3/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(5/4)+1/4*d^(3/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(5/4),1],
[sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2),x,12,1/2*(d*x)^(3/2)/a/d/(b*x^2+a)-1/4*sqrt(d)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(3/4)+1/4*sqrt(d)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(3/4)-1/4*sqrt(d)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/b^(3/4),1],
[1/sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2),x,12,1/2*sqrt(d*x)/a/d/(b*x^2+a)-3/4*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(1/4)/sqrt(d)+3/4*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(1/4)/sqrt(d)+3/4*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/b^(1/4)/sqrt(d),1],
[1/(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2),x,13,-5/2/a^2/d/sqrt(d*x)+1/2/a/d/sqrt(d*x)/(b*x^2+a)+5/4*b^(1/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/d^(3/2)-5/4*b^(1/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/d^(3/2)+5/4*b^(1/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/d^(3/2),1],
[1/(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2),x,13,-7/6/a^2/d/(d*x)^(3/2)+1/2/a/d/(d*x)^(3/2)/(b*x^2+a)+7/4*b^(3/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/d^(5/2)-7/4*b^(3/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/d^(5/2)-7/4*b^(3/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(11/4)/d^(5/2),1],
[1/(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2),x,14,-9/10/a^2/d/(d*x)^(5/2)+9/2*b/a^3/d^3/sqrt(d*x)+1/2/a/d/(d*x)^(5/2)/(b*x^2+a)-9/4*b^(5/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/d^(7/2)+9/4*b^(5/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/d^(7/2)-9/4*b^(5/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(13/4)/d^(7/2),1],
[(d*x)^(19/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,16,-663/64*a*d^9*sqrt(d*x)/b^5+663/320*d^7*(d*x)^(5/2)/b^4-1/6*d*(d*x)^(17/2)/b/(b*x^2+a)^3-17/48*d^3*(d*x)^(13/2)/b^2/(b*x^2+a)^2-221/192*d^5*(d*x)^(9/2)/b^3/(b*x^2+a)-663/128*a^(5/4)*d^(19/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(21/4)+663/128*a^(5/4)*d^(19/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(21/4)+663/128*a^(5/4)*d^(19/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(21/4),1],
[(d*x)^(17/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,15,385/192*d^7*(d*x)^(3/2)/b^4-1/6*d*(d*x)^(15/2)/b/(b*x^2+a)^3-5/16*d^3*(d*x)^(11/2)/b^2/(b*x^2+a)^2-55/64*d^5*(d*x)^(7/2)/b^3/(b*x^2+a)+385/128*a^(3/4)*d^(17/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(19/4)-385/128*a^(3/4)*d^(17/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(19/4)+385/128*a^(3/4)*d^(17/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(19/4),1],
[(d*x)^(15/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,15,195/64*d^7*sqrt(d*x)/b^4-1/6*d*(d*x)^(13/2)/b/(b*x^2+a)^3-13/48*d^3*(d*x)^(9/2)/b^2/(b*x^2+a)^2-39/64*d^5*(d*x)^(5/2)/b^3/(b*x^2+a)+195/128*a^(1/4)*d^(15/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(17/4)-195/128*a^(1/4)*d^(15/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(17/4)-195/128*a^(1/4)*d^(15/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(17/4),1],
[(d*x)^(13/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,-1/6*d*(d*x)^(11/2)/b/(b*x^2+a)^3-11/48*d^3*(d*x)^(7/2)/b^2/(b*x^2+a)^2-77/192*d^5*(d*x)^(3/2)/b^3/(b*x^2+a)-77/128*d^(13/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(15/4)+77/128*d^(13/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(15/4)-77/128*d^(13/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(15/4),1],
[(d*x)^(11/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,-1/6*d*(d*x)^(9/2)/b/(b*x^2+a)^3-3/16*d^3*(d*x)^(5/2)/b^2/(b*x^2+a)^2-15/64*d^5*sqrt(d*x)/b^3/(b*x^2+a)-15/128*d^(11/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(13/4)+15/128*d^(11/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(13/4)+15/128*d^(11/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(13/4),1],
[(d*x)^(9/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,-1/6*d*(d*x)^(7/2)/b/(b*x^2+a)^3-7/48*d^3*(d*x)^(3/2)/b^2/(b*x^2+a)^2+7/64*d^3*(d*x)^(3/2)/a/b^2/(b*x^2+a)-7/128*d^(9/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(11/4)+7/128*d^(9/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(11/4)-7/128*d^(9/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/b^(11/4),1],
[(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,-1/6*d*(d*x)^(5/2)/b/(b*x^2+a)^3-5/48*d^3*sqrt(d*x)/b^2/(b*x^2+a)^2+5/192*d^3*sqrt(d*x)/a/b^2/(b*x^2+a)-5/128*d^(7/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(9/4)+5/128*d^(7/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(9/4)+5/128*d^(7/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/b^(9/4),1],
[(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,-1/6*d*(d*x)^(3/2)/b/(b*x^2+a)^3+1/16*d*(d*x)^(3/2)/a/b/(b*x^2+a)^2+5/64*d*(d*x)^(3/2)/a^2/b/(b*x^2+a)-5/128*d^(5/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(7/4)+5/128*d^(5/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(7/4)-5/128*d^(5/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/b^(7/4),1],
[(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,-1/6*d*sqrt(d*x)/b/(b*x^2+a)^3+1/48*d*sqrt(d*x)/a/b/(b*x^2+a)^2+7/192*d*sqrt(d*x)/a^2/b/(b*x^2+a)-7/128*d^(3/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(5/4)+7/128*d^(3/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(5/4)+7/128*d^(3/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(11/4)/b^(5/4),1],
[sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,1/6*(d*x)^(3/2)/a/d/(b*x^2+a)^3+3/16*(d*x)^(3/2)/a^2/d/(b*x^2+a)^2+15/64*(d*x)^(3/2)/a^3/d/(b*x^2+a)-15/128*sqrt(d)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/b^(3/4)+15/128*sqrt(d)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/b^(3/4)-15/128*sqrt(d)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(13/4)/b^(3/4),1],
[1/sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,14,1/6*sqrt(d*x)/a/d/(b*x^2+a)^3+11/48*sqrt(d*x)/a^2/d/(b*x^2+a)^2+77/192*sqrt(d*x)/a^3/d/(b*x^2+a)-77/128*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/b^(1/4)/sqrt(d)+77/128*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/b^(1/4)/sqrt(d)+77/128*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(15/4)/b^(1/4)/sqrt(d),1],
[1/(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,15,-195/64/a^4/d/sqrt(d*x)+1/6/a/d/sqrt(d*x)/(b*x^2+a)^3+13/48/a^2/d/sqrt(d*x)/(b*x^2+a)^2+39/64/a^3/d/sqrt(d*x)/(b*x^2+a)+195/128*b^(1/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/d^(3/2)-195/128*b^(1/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/d^(3/2)+195/128*b^(1/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(17/4)/d^(3/2),1],
[1/(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,15,-385/192/a^4/d/(d*x)^(3/2)+1/6/a/d/(d*x)^(3/2)/(b*x^2+a)^3+5/16/a^2/d/(d*x)^(3/2)/(b*x^2+a)^2+55/64/a^3/d/(d*x)^(3/2)/(b*x^2+a)+385/128*b^(3/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(19/4)/d^(5/2)-385/128*b^(3/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(19/4)/d^(5/2)-385/128*b^(3/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(19/4)/d^(5/2),1],
[1/(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^2,x,16,-663/320/a^4/d/(d*x)^(5/2)+663/64*b/a^5/d^3/sqrt(d*x)+1/6/a/d/(d*x)^(5/2)/(b*x^2+a)^3+17/48/a^2/d/(d*x)^(5/2)/(b*x^2+a)^2+221/192/a^3/d/(d*x)^(5/2)/(b*x^2+a)-663/128*b^(5/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(21/4)/d^(7/2)+663/128*b^(5/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(21/4)/d^(7/2)-663/128*b^(5/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(21/4)/d^(7/2),1],
[(d*x)^(27/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,18,-69615/4096*a*d^13*sqrt(d*x)/b^7+13923/4096*d^11*(d*x)^(5/2)/b^6-1/10*d*(d*x)^(25/2)/b/(b*x^2+a)^5-5/32*d^3*(d*x)^(21/2)/b^2/(b*x^2+a)^4-35/128*d^5*(d*x)^(17/2)/b^3/(b*x^2+a)^3-595/1024*d^7*(d*x)^(13/2)/b^4/(b*x^2+a)^2-7735/4096*d^9*(d*x)^(9/2)/b^5/(b*x^2+a)-69615/8192*a^(5/4)*d^(27/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(29/4)+69615/8192*a^(5/4)*d^(27/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(29/4)+69615/8192*a^(5/4)*d^(27/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(29/4),1],
[(d*x)^(25/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,17,33649/12288*d^11*(d*x)^(3/2)/b^6-1/10*d*(d*x)^(23/2)/b/(b*x^2+a)^5-23/160*d^3*(d*x)^(19/2)/b^2/(b*x^2+a)^4-437/1920*d^5*(d*x)^(15/2)/b^3/(b*x^2+a)^3-437/1024*d^7*(d*x)^(11/2)/b^4/(b*x^2+a)^2-4807/4096*d^9*(d*x)^(7/2)/b^5/(b*x^2+a)+33649/8192*a^(3/4)*d^(25/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(27/4)-33649/8192*a^(3/4)*d^(25/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(27/4)+33649/8192*a^(3/4)*d^(25/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(27/4),1],
[(d*x)^(23/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,17,13923/4096*d^11*sqrt(d*x)/b^6-1/10*d*(d*x)^(21/2)/b/(b*x^2+a)^5-21/160*d^3*(d*x)^(17/2)/b^2/(b*x^2+a)^4-119/640*d^5*(d*x)^(13/2)/b^3/(b*x^2+a)^3-1547/5120*d^7*(d*x)^(9/2)/b^4/(b*x^2+a)^2-13923/20480*d^9*(d*x)^(5/2)/b^5/(b*x^2+a)+13923/8192*a^(1/4)*d^(23/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(25/4)-13923/8192*a^(1/4)*d^(23/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(25/4)-13923/8192*a^(1/4)*d^(23/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(25/4),1],
[(d*x)^(21/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(19/2)/b/(b*x^2+a)^5-19/160*d^3*(d*x)^(15/2)/b^2/(b*x^2+a)^4-19/128*d^5*(d*x)^(11/2)/b^3/(b*x^2+a)^3-209/1024*d^7*(d*x)^(7/2)/b^4/(b*x^2+a)^2-1463/4096*d^9*(d*x)^(3/2)/b^5/(b*x^2+a)-4389/8192*d^(21/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(23/4)+4389/8192*d^(21/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(23/4)-4389/8192*d^(21/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(23/4),1],
[(d*x)^(19/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(17/2)/b/(b*x^2+a)^5-17/160*d^3*(d*x)^(13/2)/b^2/(b*x^2+a)^4-221/1920*d^5*(d*x)^(9/2)/b^3/(b*x^2+a)^3-663/5120*d^7*(d*x)^(5/2)/b^4/(b*x^2+a)^2-663/4096*d^9*sqrt(d*x)/b^5/(b*x^2+a)-663/8192*d^(19/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(21/4)+663/8192*d^(19/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(21/4)+663/8192*d^(19/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(21/4),1],
[(d*x)^(17/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(15/2)/b/(b*x^2+a)^5-3/32*d^3*(d*x)^(11/2)/b^2/(b*x^2+a)^4-11/128*d^5*(d*x)^(7/2)/b^3/(b*x^2+a)^3-77/1024*d^7*(d*x)^(3/2)/b^4/(b*x^2+a)^2+231/4096*d^7*(d*x)^(3/2)/a/b^4/(b*x^2+a)-231/8192*d^(17/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(19/4)+231/8192*d^(17/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(19/4)-231/8192*d^(17/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/b^(19/4),1],
[(d*x)^(15/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(13/2)/b/(b*x^2+a)^5-13/160*d^3*(d*x)^(9/2)/b^2/(b*x^2+a)^4-39/640*d^5*(d*x)^(5/2)/b^3/(b*x^2+a)^3-39/1024*d^7*sqrt(d*x)/b^4/(b*x^2+a)^2+39/4096*d^7*sqrt(d*x)/a/b^4/(b*x^2+a)-117/8192*d^(15/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(17/4)+117/8192*d^(15/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(17/4)+117/8192*d^(15/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/b^(17/4),1],
[(d*x)^(13/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(11/2)/b/(b*x^2+a)^5-11/160*d^3*(d*x)^(7/2)/b^2/(b*x^2+a)^4-77/1920*d^5*(d*x)^(3/2)/b^3/(b*x^2+a)^3+77/5120*d^5*(d*x)^(3/2)/a/b^3/(b*x^2+a)^2+77/4096*d^5*(d*x)^(3/2)/a^2/b^3/(b*x^2+a)-77/8192*d^(13/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(15/4)+77/8192*d^(13/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(15/4)-77/8192*d^(13/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/b^(15/4),1],
[(d*x)^(11/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(9/2)/b/(b*x^2+a)^5-9/160*d^3*(d*x)^(5/2)/b^2/(b*x^2+a)^4-3/128*d^5*sqrt(d*x)/b^3/(b*x^2+a)^3+3/1024*d^5*sqrt(d*x)/a/b^3/(b*x^2+a)^2+21/4096*d^5*sqrt(d*x)/a^2/b^3/(b*x^2+a)-63/8192*d^(11/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(13/4)+63/8192*d^(11/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(13/4)+63/8192*d^(11/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(11/4)/b^(13/4),1],
[(d*x)^(9/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(7/2)/b/(b*x^2+a)^5-7/160*d^3*(d*x)^(3/2)/b^2/(b*x^2+a)^4+7/640*d^3*(d*x)^(3/2)/a/b^2/(b*x^2+a)^3+63/5120*d^3*(d*x)^(3/2)/a^2/b^2/(b*x^2+a)^2+63/4096*d^3*(d*x)^(3/2)/a^3/b^2/(b*x^2+a)-63/8192*d^(9/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/b^(11/4)+63/8192*d^(9/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/b^(11/4)-63/8192*d^(9/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(13/4)/b^(11/4),1],
[(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(5/2)/b/(b*x^2+a)^5-1/32*d^3*sqrt(d*x)/b^2/(b*x^2+a)^4+1/384*d^3*sqrt(d*x)/a/b^2/(b*x^2+a)^3+11/3072*d^3*sqrt(d*x)/a^2/b^2/(b*x^2+a)^2+77/12288*d^3*sqrt(d*x)/a^3/b^2/(b*x^2+a)-77/8192*d^(7/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/b^(9/4)+77/8192*d^(7/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/b^(9/4)+77/8192*d^(7/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(15/4)/b^(9/4),1],
[(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*(d*x)^(3/2)/b/(b*x^2+a)^5+3/160*d*(d*x)^(3/2)/a/b/(b*x^2+a)^4+13/640*d*(d*x)^(3/2)/a^2/b/(b*x^2+a)^3+117/5120*d*(d*x)^(3/2)/a^3/b/(b*x^2+a)^2+117/4096*d*(d*x)^(3/2)/a^4/b/(b*x^2+a)-117/8192*d^(5/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/b^(7/4)+117/8192*d^(5/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/b^(7/4)-117/8192*d^(5/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(17/4)/b^(7/4),1],
[(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,-1/10*d*sqrt(d*x)/b/(b*x^2+a)^5+1/160*d*sqrt(d*x)/a/b/(b*x^2+a)^4+1/128*d*sqrt(d*x)/a^2/b/(b*x^2+a)^3+11/1024*d*sqrt(d*x)/a^3/b/(b*x^2+a)^2+77/4096*d*sqrt(d*x)/a^4/b/(b*x^2+a)-231/8192*d^(3/2)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(19/4)/b^(5/4)+231/8192*d^(3/2)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(19/4)/b^(5/4)+231/8192*d^(3/2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(19/4)/b^(5/4),1],
[sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,1/10*(d*x)^(3/2)/a/d/(b*x^2+a)^5+17/160*(d*x)^(3/2)/a^2/d/(b*x^2+a)^4+221/1920*(d*x)^(3/2)/a^3/d/(b*x^2+a)^3+663/5120*(d*x)^(3/2)/a^4/d/(b*x^2+a)^2+663/4096*(d*x)^(3/2)/a^5/d/(b*x^2+a)-663/8192*sqrt(d)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(21/4)/b^(3/4)+663/8192*sqrt(d)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(21/4)/b^(3/4)-663/8192*sqrt(d)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(21/4)/b^(3/4),1],
[1/sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,16,1/10*sqrt(d*x)/a/d/(b*x^2+a)^5+19/160*sqrt(d*x)/a^2/d/(b*x^2+a)^4+19/128*sqrt(d*x)/a^3/d/(b*x^2+a)^3+209/1024*sqrt(d*x)/a^4/d/(b*x^2+a)^2+1463/4096*sqrt(d*x)/a^5/d/(b*x^2+a)-4389/8192*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(23/4)/b^(1/4)/sqrt(d)+4389/8192*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(23/4)/b^(1/4)/sqrt(d)+4389/8192*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(23/4)/b^(1/4)/sqrt(d),1],
[1/(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,17,-13923/4096/a^6/d/sqrt(d*x)+1/10/a/d/sqrt(d*x)/(b*x^2+a)^5+21/160/a^2/d/sqrt(d*x)/(b*x^2+a)^4+119/640/a^3/d/sqrt(d*x)/(b*x^2+a)^3+1547/5120/a^4/d/sqrt(d*x)/(b*x^2+a)^2+13923/20480/a^5/d/sqrt(d*x)/(b*x^2+a)+13923/8192*b^(1/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(25/4)/d^(3/2)-13923/8192*b^(1/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(25/4)/d^(3/2)+13923/8192*b^(1/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(25/4)/d^(3/2),1],
[1/(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,17,-33649/12288/a^6/d/(d*x)^(3/2)+1/10/a/d/(d*x)^(3/2)/(b*x^2+a)^5+23/160/a^2/d/(d*x)^(3/2)/(b*x^2+a)^4+437/1920/a^3/d/(d*x)^(3/2)/(b*x^2+a)^3+437/1024/a^4/d/(d*x)^(3/2)/(b*x^2+a)^2+4807/4096/a^5/d/(d*x)^(3/2)/(b*x^2+a)+33649/8192*b^(3/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(27/4)/d^(5/2)-33649/8192*b^(3/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(27/4)/d^(5/2)-33649/8192*b^(3/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(27/4)/d^(5/2),1],
[1/(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^3,x,18,-13923/4096/a^6/d/(d*x)^(5/2)+69615/4096*b/a^7/d^3/sqrt(d*x)+1/10/a/d/(d*x)^(5/2)/(b*x^2+a)^5+5/32/a^2/d/(d*x)^(5/2)/(b*x^2+a)^4+35/128/a^3/d/(d*x)^(5/2)/(b*x^2+a)^3+595/1024/a^4/d/(d*x)^(5/2)/(b*x^2+a)^2+7735/4096/a^5/d/(d*x)^(5/2)/(b*x^2+a)-69615/8192*b^(5/4)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(29/4)/d^(7/2)+69615/8192*b^(5/4)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(29/4)/d^(7/2)-69615/8192*b^(5/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(29/4)/d^(7/2),1],
[x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,a*x^6*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(6*b*x^2+6*a)+b*x^8*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(8*b*x^2+8*a),1],
[x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,-1/4*a*(b*x^2+a)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^2+1/6*(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/b^2,1],
[x*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,3,1/4*(b*x^2+a)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b,1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x,x,4,b*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+a*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3,x,4,-1/2*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+b*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5,x,3,-1/4*(b*x^2+a)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a/x^4,1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7,x,4,-1/6*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6/(b*x^2+a)-1/4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9,x,4,-1/8*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8/(b*x^2+a)-1/6*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11,x,4,-1/10*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10/(b*x^2+a)-1/8*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8/(b*x^2+a),1],
[x^4*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,3,a*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a)+b*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a),1],
[x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,3,a*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+b*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2),x,2,a*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+b*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2,x,3,-a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+b*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4,x,3,-1/3*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6,x,3,-1/5*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-1/3*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8,x,3,-1/7*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-1/5*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10,x,3,-1/9*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-1/7*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a),1],
[x^9*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,a^3*x^10*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(10*b*x^2+10*a)+a^2*b*x^12*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(4*b*x^2+4*a)+3*a*b^2*x^14*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(14*b*x^2+14*a)+b^3*x^16*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(16*b*x^2+16*a),1],
[x^7*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,a^3*x^8*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(8*b*x^2+8*a)+3*a^2*b*x^10*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(10*b*x^2+10*a)+a*b^2*x^12*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(4*b*x^2+4*a)+b^3*x^14*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(14*b*x^2+14*a),1],
[x^5*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,1/8*a^2*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/b^3-1/5*a*(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/b^3+1/12*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/b^3,1],
[x^3*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,-1/8*a*(b*x^2+a)^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^2+1/10*(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/b^2,1],
[x*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,1/8*(b*x^2+a)^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b,1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x,x,4,3*a^2*b*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+3*a*b^2*x^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(4*b*x^2+4*a)+b^3*x^6*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(6*b*x^2+6*a)+a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^3,x,4,-1/2*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+3*a*b^2*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+b^3*x^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(4*b*x^2+4*a)+3*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^5,x,4,-1/4*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4/(b*x^2+a)-3/2*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+b^3*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+3*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^7,x,4,-1/6*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6/(b*x^2+a)-3/4*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4/(b*x^2+a)-3/2*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^9,x,2,-1/8*(b*x^2+a)^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a/x^8,1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^11,x,4,-1/10*(b*x^2+a)^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a/x^10+1/40*b*(b*x^2+a)^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a^2/x^8,1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^13,x,4,-1/12*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^12/(b*x^2+a)-3/10*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10/(b*x^2+a)-3/8*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8/(b*x^2+a)-1/6*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^15,x,4,-1/14*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^14/(b*x^2+a)-1/4*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^12/(b*x^2+a)-3/10*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10/(b*x^2+a)-1/8*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^17,x,4,-1/16*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^16/(b*x^2+a)-3/14*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^14/(b*x^2+a)-1/4*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^12/(b*x^2+a)-1/10*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10/(b*x^2+a),1],
[x^8*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,a^3*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+3*a^2*b*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a)+3*a*b^2*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a)+b^3*x^15*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(15*b*x^2+15*a),1],
[x^6*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,a^3*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+a^2*b*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+3*a*b^2*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a)+b^3*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a),1],
[x^4*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,a^3*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a)+3*a^2*b*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+a*b^2*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+b^3*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a),1],
[x^2*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,a^3*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+3*a^2*b*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a)+3*a*b^2*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+b^3*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,a^3*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+a^2*b*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+3*a*b^2*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a)+b^3*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^2,x,3,-a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+3*a^2*b*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+a*b^2*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+b^3*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^4,x,3,-1/3*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-3*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+3*a*b^2*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+b^3*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^6,x,3,-1/5*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-3*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+b^3*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^8,x,3,-1/7*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-3/5*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^10,x,3,-1/9*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-3/7*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-3/5*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-1/3*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^12,x,3,-1/11*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-1/3*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-3/7*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-1/5*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^14,x,3,-1/13*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a)-3/11*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-1/3*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-1/7*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/x^16,x,3,-1/15*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^15/(b*x^2+a)-3/13*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a)-3/11*a*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-1/9*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a),1],
[x^13*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,a^5*x^14*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(14*b*x^2+14*a)+5*a^4*b*x^16*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(16*b*x^2+16*a)+5*a^3*b^2*x^18*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+a^2*b^3*x^20*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+5*a*b^4*x^22*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(22*b*x^2+22*a)+b^5*x^24*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(24*b*x^2+24*a),1],
[x^11*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,a^5*x^12*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(12*b*x^2+12*a)+5*a^4*b*x^14*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(14*b*x^2+14*a)+5*a^3*b^2*x^16*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(8*b*x^2+8*a)+5*a^2*b^3*x^18*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+a*b^4*x^20*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(4*b*x^2+4*a)+b^5*x^22*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(22*b*x^2+22*a),1],
[x^9*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,a^5*x^10*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(10*b*x^2+10*a)+5*a^4*b*x^12*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(12*b*x^2+12*a)+5*a^3*b^2*x^14*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+5*a^2*b^3*x^16*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(8*b*x^2+8*a)+5*a*b^4*x^18*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(18*b*x^2+18*a)+b^5*x^20*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(20*b*x^2+20*a),1],
[x^7*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,-1/12*a^3*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^4+3/14*a^2*(b*x^2+a)^6*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^4-3/16*a*(b*x^2+a)^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^4+1/18*(b*x^2+a)^8*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^4,1],
[x^5*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,1/12*a^2*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^3-1/7*a*(b*x^2+a)^6*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^3+1/16*(b*x^2+a)^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^3,1],
[x^3*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,-1/12*a*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^2+1/14*(b^2*x^4+2*a*b*x^2+a^2)^(7/2)/b^2,1],
[x*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,1/12*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b,1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x,x,4,5*a^4*b*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+5*a^3*b^2*x^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+5*a^2*b^3*x^6*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+5*a*b^4*x^8*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(8*b*x^2+8*a)+b^5*x^10*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(10*b*x^2+10*a)+a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^3,x,4,-1/2*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+5*a^3*b^2*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+5*a^2*b^3*x^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+5*a*b^4*x^6*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(6*b*x^2+6*a)+b^5*x^8*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(8*b*x^2+8*a)+5*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^5,x,4,-1/4*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4/(b*x^2+a)-5/2*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+5*a^2*b^3*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+5*a*b^4*x^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(4*b*x^2+4*a)+b^5*x^6*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(6*b*x^2+6*a)+10*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^7,x,4,-1/6*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6/(b*x^2+a)-5/4*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4/(b*x^2+a)-5*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+5*a*b^4*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+b^5*x^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(4*b*x^2+4*a)+10*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^9,x,4,-1/8*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8/(b*x^2+a)-5/6*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6/(b*x^2+a)-5/2*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4/(b*x^2+a)-5*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+b^5*x^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(2*b*x^2+2*a)+5*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^11,x,4,-1/10*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10/(b*x^2+a)-5/8*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8/(b*x^2+a)-5/3*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^6/(b*x^2+a)-5/2*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^4/(b*x^2+a)-5/2*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^2/(b*x^2+a)+b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)*ln(x)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^13,x,2,-1/12*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a/x^12,1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^15,x,4,-1/14*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a/x^14+1/84*b*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a^2/x^12,1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^17,x,5,-1/16*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a/x^16+1/56*b*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a^2/x^14-1/336*b^2*(b*x^2+a)^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/a^3/x^12,1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^19,x,4,-1/18*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^18/(b*x^2+a)-5/16*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^16/(b*x^2+a)-5/7*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^14/(b*x^2+a)-5/6*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^12/(b*x^2+a)-1/2*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10/(b*x^2+a)-1/8*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^8/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^21,x,4,-1/20*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^20/(b*x^2+a)-5/18*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^18/(b*x^2+a)-5/8*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^16/(b*x^2+a)-5/7*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^14/(b*x^2+a)-5/12*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^12/(b*x^2+a)-1/10*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^10/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^23,x,4,-1/22*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^22/(b*x^2+a)-1/4*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^20/(b*x^2+a)-5/9*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^18/(b*x^2+a)-5/8*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^16/(b*x^2+a)-5/14*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^14/(b*x^2+a)-1/12*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^12/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^25,x,4,-1/24*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^24/(b*x^2+a)-5/22*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^22/(b*x^2+a)-1/2*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^20/(b*x^2+a)-5/9*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^18/(b*x^2+a)-5/16*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^16/(b*x^2+a)-1/14*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^14/(b*x^2+a),1],
[x^12*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,a^5*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a)+a^4*b*x^15*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+10*a^3*b^2*x^17*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(17*b*x^2+17*a)+10*a^2*b^3*x^19*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(19*b*x^2+19*a)+5*a*b^4*x^21*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(21*b*x^2+21*a)+b^5*x^23*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(23*b*x^2+23*a),1],
[x^10*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,a^5*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a)+5*a^4*b*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a)+2*a^3*b^2*x^15*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+10*a^2*b^3*x^17*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(17*b*x^2+17*a)+5*a*b^4*x^19*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(19*b*x^2+19*a)+b^5*x^21*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(21*b*x^2+21*a),1],
[x^8*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,a^5*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+5*a^4*b*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a)+10*a^3*b^2*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a)+2*a^2*b^3*x^15*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+5*a*b^4*x^17*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(17*b*x^2+17*a)+b^5*x^19*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(19*b*x^2+19*a),1],
[x^6*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,a^5*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+5*a^4*b*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+10*a^3*b^2*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a)+10*a^2*b^3*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a)+a*b^4*x^15*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+b^5*x^17*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(17*b*x^2+17*a),1],
[x^4*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,a^5*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a)+5*a^4*b*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+10*a^3*b^2*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+10*a^2*b^3*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a)+5*a*b^4*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a)+b^5*x^15*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(15*b*x^2+15*a),1],
[x^2*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,a^5*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+a^4*b*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+10*a^3*b^2*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+10*a^2*b^3*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+5*a*b^4*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a)+b^5*x^13*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(13*b*x^2+13*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,a^5*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+5*a^4*b*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+2*a^3*b^2*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+10*a^2*b^3*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+5*a*b^4*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a)+b^5*x^11*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(11*b*x^2+11*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^2,x,3,-a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+5*a^4*b*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+10*a^3*b^2*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+2*a^2*b^3*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+5*a*b^4*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a)+b^5*x^9*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(9*b*x^2+9*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^4,x,3,-1/3*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-5*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+10*a^3*b^2*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+10*a^2*b^3*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+a*b^4*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+b^5*x^7*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(7*b*x^2+7*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^6,x,3,-1/5*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-5/3*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-10*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+10*a^2*b^3*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+5*a*b^4*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a)+b^5*x^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(5*b*x^2+5*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^8,x,3,-1/7*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-10/3*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-10*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+5*a*b^4*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a)+b^5*x^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(3*b*x^2+3*a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^10,x,3,-1/9*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-5/7*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-2*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-10/3*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-5*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a)+b^5*x*sqrt(b^2*x^4+2*a*b*x^2+a^2)/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^12,x,3,-1/11*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-5/9*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-10/7*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-2*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-5/3*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a)-b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^14,x,3,-1/13*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a)-5/11*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-10/9*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-10/7*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a)-1/3*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^3/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^16,x,3,-1/15*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^15/(b*x^2+a)-5/13*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a)-10/11*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-10/9*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-5/7*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a)-1/5*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^5/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^18,x,3,-1/17*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^17/(b*x^2+a)-1/3*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^15/(b*x^2+a)-10/13*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a)-10/11*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-5/9*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a)-1/7*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^7/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^20,x,3,-1/19*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^19/(b*x^2+a)-5/17*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^17/(b*x^2+a)-2/3*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^15/(b*x^2+a)-10/13*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a)-5/11*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a)-1/9*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^9/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^22,x,3,-1/21*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^21/(b*x^2+a)-5/19*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^19/(b*x^2+a)-10/17*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^17/(b*x^2+a)-2/3*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^15/(b*x^2+a)-5/13*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a)-1/11*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^11/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/x^24,x,3,-1/23*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^23/(b*x^2+a)-5/21*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^21/(b*x^2+a)-10/19*a^3*b^2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^19/(b*x^2+a)-10/17*a^2*b^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^17/(b*x^2+a)-1/3*a*b^4*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^15/(b*x^2+a)-1/13*b^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/x^13/(b*x^2+a),1],
[x^5/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,-1/2*a*x^2*(b*x^2+a)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4*x^4*(b*x^2+a)/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/2*a^2*(b*x^2+a)*ln(b*x^2+a)/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,1/2*sqrt(b^2*x^4+2*a*b*x^2+a^2)/b^2-1/2*a*(b*x^2+a)*ln(b*x^2+a)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,3,1/2*(b*x^2+a)*ln(b*x^2+a)/b/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,5,(b*x^2+a)*ln(x)/a/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/2*(b*x^2+a)*ln(b*x^2+a)/a/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,1/2*(-b*x^2-a)/a/x^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-b*(b*x^2+a)*ln(x)/a^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/2*b*(b*x^2+a)*ln(b*x^2+a)/a^2/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^4/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,-a*x*(b*x^2+a)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/3*x^3*(b*x^2+a)/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)+a^(3/2)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/b^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^2/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,3,x*(b*x^2+a)/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-sqrt(a)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/b^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,2,(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/sqrt(b)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^2/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,3,-(b*x^2+a)/a/x/sqrt(b^2*x^4+2*a*b*x^2+a^2)-sqrt(b)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^4/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,1/3*(-b*x^2-a)/a/x^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+b*(b*x^2+a)/a^2/x/sqrt(b^2*x^4+2*a*b*x^2+a^2)+b^(3/2)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^7/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,-3/2*a^2/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4*a^3/b^4/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/2*x^2*(b*x^2+a)/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3/2*a*(b*x^2+a)*ln(b*x^2+a)/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^5/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,a/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*a^2/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/2*(b*x^2+a)*ln(b*x^2+a)/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^3/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,1/4*x^4/a/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,-1/4/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,1/2/a^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4/a/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+(b*x^2+a)*ln(x)/a^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/2*(b*x^2+a)*ln(b*x^2+a)/a^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^3/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,-b/a^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*b/a^2/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/2*(b*x^2+a)/a^3/x^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3*b*(b*x^2+a)*ln(x)/a^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3/2*b*(b*x^2+a)*ln(b*x^2+a)/a^4/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^6/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,6,9/8*a*x/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*a^2*x/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+x*(b*x^2+a)/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-15/8*sqrt(a)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/b^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^4/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,-3/8*x/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*x^3/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3/8*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^2/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,1/8*x/a/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*x/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,3/8*x/a^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4*x/a/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3/8*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/sqrt(b)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^2/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,5,-7/8*b*x/a^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*b*x/a^2/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-(b*x^2+a)/a^3/x/sqrt(b^2*x^4+2*a*b*x^2+a^2)-15/8*sqrt(b)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^4/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,6,11/8*b^2*x/a^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4*b^2*x/a^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/3*(b*x^2+a)/a^3/x^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3*b*(b*x^2+a)/a^4/x/sqrt(b^2*x^4+2*a*b*x^2+a^2)+35/8*b^(3/2)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(9/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^11/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,-5*a^2/b^6/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8*a^5/b^6/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/6*a^4/b^6/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/2*a^3/b^6/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/2*x^2*(b*x^2+a)/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/2*a*(b*x^2+a)*ln(b*x^2+a)/b^6/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^9/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,2*a/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*a^4/b^5/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+2/3*a^3/b^5/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3/2*a^2/b^5/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/2*(b*x^2+a)*ln(b*x^2+a)/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^7/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,2,1/8*x^8/a/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^5/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,1/24*x^6/a^2/(b^2*x^4+2*a*b*x^2+a^2)^(3/2)+1/8*x^6/a/(b*x^2+a)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),1],
[x^3/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,-1/6/b^2/(b^2*x^4+2*a*b*x^2+a^2)^(3/2)+1/8*a/b^2/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,-1/8/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,1/2/a^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8/a/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/6/a^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4/a^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+(b*x^2+a)*ln(x)/a^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/2*(b*x^2+a)*ln(b*x^2+a)/a^5/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^3/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,-2*b/a^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*b/a^2/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/3*b/a^3/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3/4*b/a^4/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/2*(b*x^2+a)/a^5/x^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5*b*(b*x^2+a)*ln(x)/a^6/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/2*b*(b*x^2+a)*ln(b*x^2+a)/a^6/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^10/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,8,325/128*a*x/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*a^4*x/b^5/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+11/16*a^3*x/b^5/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-105/64*a^2*x/b^5/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+x*(b*x^2+a)/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-315/128*sqrt(a)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/b^(11/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^8/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,6,-35/128*x/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*x^7/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-7/48*x^5/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-35/192*x^3/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+35/128*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(9/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^6/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,6,5/128*x/a/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*x^5/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/48*x^3/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/64*x/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/128*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^4/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,6,3/128*x/a^2/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*x^3/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/16*x/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/64*x/a/b^2/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3/128*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/b^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^2/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,6,5/128*x/a^3/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*x/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/48*x/a/b/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/192*x/a^2/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/128*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/b^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,6,35/128*x/a^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8*x/a/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+7/48*x/a^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+35/192*x/a^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+35/128*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(9/2)/sqrt(b)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^2/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,7,-187/128*b*x/a^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*b*x/a^2/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/16*b*x/a^3/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-41/64*b*x/a^4/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-(b*x^2+a)/a^5/x/sqrt(b^2*x^4+2*a*b*x^2+a^2)-315/128*sqrt(b)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(11/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/x^4/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,8,515/128*b^2*x/a^6/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8*b^2*x/a^3/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+23/48*b^2*x/a^4/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+259/192*b^2*x/a^5/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/3*(b*x^2+a)/a^5/x^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5*b*(b*x^2+a)/a^6/x/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1155/128*b^(3/2)*(b*x^2+a)*arctan(sqrt(b)*x/sqrt(a))/a^(13/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,2/7*a*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+2/11*b*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a),1],
[(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,2/5*a*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+2/9*b*(d*x)^(9/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a),1],
[sqrt(d*x)*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,2/3*a*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+2/7*b*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/sqrt(d*x),x,4,2*a*sqrt(d*x)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+2/5*b*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/(d*x)^(3/2),x,4,-2*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/sqrt(d*x)/(b*x^2+a)+2/3*b*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/(d*x)^(5/2),x,4,-2/3*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(d*x)^(3/2)/(b*x^2+a)+2*b*sqrt(d*x)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2+a^2)/(d*x)^(7/2),x,4,-2/5*a*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(d*x)^(5/2)/(b*x^2+a)-2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/sqrt(d*x)/(b*x^2+a),1],
[(d*x)^(5/2)*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,2/7*a^3*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+6/11*a^2*b*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+2/5*a*b^2*(d*x)^(15/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+2/19*b^3*(d*x)^(19/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a),1],
[(d*x)^(3/2)*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,2/5*a^3*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+2/3*a^2*b*(d*x)^(9/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+6/13*a*b^2*(d*x)^(13/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+2/17*b^3*(d*x)^(17/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a),1],
[sqrt(d*x)*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,2/3*a^3*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+6/7*a^2*b*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+6/11*a*b^2*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+2/15*b^3*(d*x)^(15/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/sqrt(d*x),x,4,2*a^3*sqrt(d*x)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+6/5*a^2*b*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+2/3*a*b^2*(d*x)^(9/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+2/13*b^3*(d*x)^(13/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/(d*x)^(3/2),x,4,-2*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/sqrt(d*x)/(b*x^2+a)+2*a^2*b*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+6/7*a*b^2*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+2/11*b^3*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/(d*x)^(5/2),x,4,-2/3*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(d*x)^(3/2)/(b*x^2+a)+6*a^2*b*sqrt(d*x)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+6/5*a*b^2*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+2/9*b^3*(d*x)^(9/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(3/2)/(d*x)^(7/2),x,4,-2/5*a^3*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(d*x)^(5/2)/(b*x^2+a)-6*a^2*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/sqrt(d*x)/(b*x^2+a)+2*a*b^2*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+2/7*b^3*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a),1],
[(d*x)^(5/2)*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,2/7*a^5*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+10/11*a^4*b*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+4/3*a^3*b^2*(d*x)^(15/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+20/19*a^2*b^3*(d*x)^(19/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a)+10/23*a*b^4*(d*x)^(23/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(b*x^2+a)+2/27*b^5*(d*x)^(27/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(b*x^2+a),1],
[(d*x)^(3/2)*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,2/5*a^5*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+10/9*a^4*b*(d*x)^(9/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+20/13*a^3*b^2*(d*x)^(13/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+20/17*a^2*b^3*(d*x)^(17/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a)+10/21*a*b^4*(d*x)^(21/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(b*x^2+a)+2/25*b^5*(d*x)^(25/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(b*x^2+a),1],
[sqrt(d*x)*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,2/3*a^5*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+10/7*a^4*b*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+20/11*a^3*b^2*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+4/3*a^2*b^3*(d*x)^(15/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a)+10/19*a*b^4*(d*x)^(19/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(b*x^2+a)+2/23*b^5*(d*x)^(23/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/sqrt(d*x),x,4,2*a^5*sqrt(d*x)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(b*x^2+a)+2*a^4*b*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+20/9*a^3*b^2*(d*x)^(9/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+20/13*a^2*b^3*(d*x)^(13/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a)+10/17*a*b^4*(d*x)^(17/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(b*x^2+a)+2/21*b^5*(d*x)^(21/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/(d*x)^(3/2),x,4,-2*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/sqrt(d*x)/(b*x^2+a)+10/3*a^4*b*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+20/7*a^3*b^2*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+20/11*a^2*b^3*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a)+2/3*a*b^4*(d*x)^(15/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(b*x^2+a)+2/19*b^5*(d*x)^(19/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/(d*x)^(5/2),x,4,-2/3*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(d*x)^(3/2)/(b*x^2+a)+10*a^4*b*sqrt(d*x)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(b*x^2+a)+4*a^3*b^2*(d*x)^(5/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+20/9*a^2*b^3*(d*x)^(9/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a)+10/13*a*b^4*(d*x)^(13/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(b*x^2+a)+2/17*b^5*(d*x)^(17/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(b*x^2+a),1],
[(b^2*x^4+2*a*b*x^2+a^2)^(5/2)/(d*x)^(7/2),x,4,-2/5*a^5*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(d*x)^(5/2)/(b*x^2+a)-10*a^4*b*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/sqrt(d*x)/(b*x^2+a)+20/3*a^3*b^2*(d*x)^(3/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(b*x^2+a)+20/7*a^2*b^3*(d*x)^(7/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(b*x^2+a)+10/11*a*b^4*(d*x)^(11/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(b*x^2+a)+2/15*b^5*(d*x)^(15/2)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(b*x^2+a),1],
[(d*x)^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,13,-2*a*d^3*sqrt(d*x)*(b*x^2+a)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+2/5*d*(d*x)^(5/2)*(b*x^2+a)/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-a^(5/4)*d^(7/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+a^(5/4)*d^(7/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+a^(5/4)*d^(7/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,12,2/3*d*(d*x)^(3/2)*(b*x^2+a)/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)+a^(3/4)*d^(5/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-a^(3/4)*d^(5/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+a^(3/4)*d^(5/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,12,2*d*sqrt(d*x)*(b*x^2+a)/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)+a^(1/4)*d^(3/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-a^(1/4)*d^(3/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-a^(1/4)*d^(3/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,11,-sqrt(d)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+sqrt(d)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-sqrt(d)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,11,-(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,12,(-2*b*x^2-2*a)/a/d/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+b^(1/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-b^(1/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+b^(1/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,12,1/3*(-2*b*x^2-2*a)/a/d/(d*x)^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+b^(3/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-b^(3/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-b^(3/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,13,1/5*(-2*b*x^2-2*a)/a/d/(d*x)^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+2*b*(b*x^2+a)/a^2/d^3/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-b^(5/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+b^(5/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-b^(5/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(15/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,15,-13/16*d^3*(d*x)^(9/2)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*d*(d*x)^(13/2)/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-117/16*a*d^7*sqrt(d*x)*(b*x^2+a)/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)+117/80*d^5*(d*x)^(5/2)*(b*x^2+a)/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-117/32*a^(5/4)*d^(15/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(17/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+117/32*a^(5/4)*d^(15/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(17/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+117/32*a^(5/4)*d^(15/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(17/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(13/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,14,-11/16*d^3*(d*x)^(7/2)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*d*(d*x)^(11/2)/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+77/48*d^5*(d*x)^(3/2)*(b*x^2+a)/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+77/32*a^(3/4)*d^(13/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(15/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/32*a^(3/4)*d^(13/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(15/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+77/32*a^(3/4)*d^(13/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(15/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(11/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,14,-9/16*d^3*(d*x)^(5/2)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*d*(d*x)^(9/2)/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+45/16*d^5*sqrt(d*x)*(b*x^2+a)/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+45/32*a^(1/4)*d^(11/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(13/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-45/32*a^(1/4)*d^(11/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(13/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-45/32*a^(1/4)*d^(11/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(13/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(9/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,13,-7/16*d^3*(d*x)^(3/2)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*d*(d*x)^(7/2)/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-21/32*d^(9/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(11/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+21/32*d^(9/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(11/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-21/32*d^(9/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(11/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,13,-5/16*d^3*sqrt(d*x)/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*d*(d*x)^(5/2)/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/32*d^(7/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/32*d^(7/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/32*d^(7/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,13,3/16*d*(d*x)^(3/2)/a/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*d*(d*x)^(3/2)/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3/32*d^(5/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3/32*d^(5/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3/32*d^(5/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,13,1/16*d*sqrt(d*x)/a/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/4*d*sqrt(d*x)/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3/32*d^(3/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3/32*d^(3/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3/32*d^(3/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,13,5/16*(d*x)^(3/2)/a^2/d/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4*(d*x)^(3/2)/a/d/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/32*sqrt(d)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/32*sqrt(d)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/32*sqrt(d)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,13,7/16*sqrt(d*x)/a^2/d/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4*sqrt(d*x)/a/d/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-21/32*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+21/32*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+21/32*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(11/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,14,9/16/a^2/d/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4/a/d/sqrt(d*x)/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-45/16*(b*x^2+a)/a^3/d/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+45/32*b^(1/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-45/32*b^(1/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+45/32*b^(1/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(13/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,14,11/16/a^2/d/(d*x)^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4/a/d/(d*x)^(3/2)/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/48*(b*x^2+a)/a^3/d/(d*x)^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+77/32*b^(3/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/32*b^(3/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/32*b^(3/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(15/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,15,13/16/a^2/d/(d*x)^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/4/a/d/(d*x)^(5/2)/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-117/80*(b*x^2+a)/a^3/d/(d*x)^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+117/16*b*(b*x^2+a)/a^4/d^3/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-117/32*b^(5/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+117/32*b^(5/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-117/32*b^(5/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(17/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(23/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,17,-1547/1024*d^7*(d*x)^(9/2)/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(21/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-7/32*d^3*(d*x)^(17/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-119/256*d^5*(d*x)^(13/2)/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-13923/1024*a*d^11*sqrt(d*x)*(b*x^2+a)/b^6/sqrt(b^2*x^4+2*a*b*x^2+a^2)+13923/5120*d^9*(d*x)^(5/2)*(b*x^2+a)/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)-13923/2048*a^(5/4)*d^(23/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(25/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+13923/2048*a^(5/4)*d^(23/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(25/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+13923/2048*a^(5/4)*d^(23/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(25/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(21/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,16,-1045/1024*d^7*(d*x)^(7/2)/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(19/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-19/96*d^3*(d*x)^(15/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-95/256*d^5*(d*x)^(11/2)/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+7315/3072*d^9*(d*x)^(3/2)*(b*x^2+a)/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)+7315/2048*a^(3/4)*d^(21/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(23/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-7315/2048*a^(3/4)*d^(21/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(23/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+7315/2048*a^(3/4)*d^(21/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(23/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(19/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,16,-663/1024*d^7*(d*x)^(5/2)/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(17/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-17/96*d^3*(d*x)^(13/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-221/768*d^5*(d*x)^(9/2)/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3315/1024*d^9*sqrt(d*x)*(b*x^2+a)/b^5/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3315/2048*a^(1/4)*d^(19/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(21/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3315/2048*a^(1/4)*d^(19/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/b^(21/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3315/2048*a^(1/4)*d^(19/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(21/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(17/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,-385/1024*d^7*(d*x)^(3/2)/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(15/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/32*d^3*(d*x)^(11/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-55/256*d^5*(d*x)^(7/2)/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1155/2048*d^(17/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(19/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1155/2048*d^(17/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(1/4)/b^(19/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1155/2048*d^(17/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(19/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(15/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,-195/1024*d^7*sqrt(d*x)/b^4/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(13/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-13/96*d^3*(d*x)^(9/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-39/256*d^5*(d*x)^(5/2)/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-195/2048*d^(15/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(17/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+195/2048*d^(15/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(3/4)/b^(17/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+195/2048*d^(15/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(17/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(13/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,77/1024*d^5*(d*x)^(3/2)/a/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(11/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-11/96*d^3*(d*x)^(7/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/768*d^5*(d*x)^(3/2)/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/2048*d^(13/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(15/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+77/2048*d^(13/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(5/4)/b^(15/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/2048*d^(13/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/b^(15/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(11/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,15/1024*d^5*sqrt(d*x)/a/b^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(9/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3/32*d^3*(d*x)^(5/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-15/256*d^5*sqrt(d*x)/b^3/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-45/2048*d^(11/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(13/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+45/2048*d^(11/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(7/4)/b^(13/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+45/2048*d^(11/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/b^(13/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(9/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,35/1024*d^3*(d*x)^(3/2)/a^2/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(7/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-7/96*d^3*(d*x)^(3/2)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+7/256*d^3*(d*x)^(3/2)/a/b^2/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-35/2048*d^(9/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(11/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+35/2048*d^(9/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(9/4)/b^(11/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-35/2048*d^(9/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/b^(11/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,35/3072*d^3*sqrt(d*x)/a^2/b^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(5/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)-5/96*d^3*sqrt(d*x)/b^2/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/768*d^3*sqrt(d*x)/a/b^2/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-35/2048*d^(7/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+35/2048*d^(7/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(11/4)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+35/2048*d^(7/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(11/4)/b^(9/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,45/1024*d*(d*x)^(3/2)/a^3/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*(d*x)^(3/2)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/32*d*(d*x)^(3/2)/a/b/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+9/256*d*(d*x)^(3/2)/a^2/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-45/2048*d^(5/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+45/2048*d^(5/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(13/4)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-45/2048*d^(5/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(13/4)/b^(7/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,77/3072*d*sqrt(d*x)/a^3/b/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1/8*d*sqrt(d*x)/b/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/96*d*sqrt(d*x)/a/b/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+11/768*d*sqrt(d*x)/a^2/b/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-77/2048*d^(3/2)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+77/2048*d^(3/2)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(15/4)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+77/2048*d^(3/2)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(15/4)/b^(5/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,195/1024*(d*x)^(3/2)/a^4/d/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8*(d*x)^(3/2)/a/d/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+13/96*(d*x)^(3/2)/a^2/d/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+39/256*(d*x)^(3/2)/a^3/d/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-195/2048*sqrt(d)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+195/2048*sqrt(d)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(17/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-195/2048*sqrt(d)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(17/4)/b^(3/4)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/sqrt(d*x)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,15,385/1024*sqrt(d*x)/a^4/d/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8*sqrt(d*x)/a/d/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+5/32*sqrt(d*x)/a^2/d/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+55/256*sqrt(d*x)/a^3/d/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-1155/2048*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(19/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1155/2048*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(19/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1155/2048*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(19/4)/b^(1/4)/sqrt(d)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(3/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,16,663/1024/a^4/d/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8/a/d/sqrt(d*x)/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+17/96/a^2/d/sqrt(d*x)/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+221/768/a^3/d/sqrt(d*x)/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3315/1024*(b*x^2+a)/a^5/d/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3315/2048*b^(1/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(21/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-3315/2048*b^(1/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(21/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+3315/2048*b^(1/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(21/4)/d^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(5/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,16,1045/1024/a^4/d/(d*x)^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8/a/d/(d*x)^(3/2)/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+19/96/a^2/d/(d*x)^(3/2)/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+95/256/a^3/d/(d*x)^(3/2)/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-7315/3072*(b*x^2+a)/a^5/d/(d*x)^(3/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+7315/2048*b^(3/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(23/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-7315/2048*b^(3/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(23/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-7315/2048*b^(3/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(23/4)/d^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[1/(d*x)^(7/2)/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,17,1547/1024/a^4/d/(d*x)^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+1/8/a/d/(d*x)^(5/2)/(b*x^2+a)^3/sqrt(b^2*x^4+2*a*b*x^2+a^2)+7/32/a^2/d/(d*x)^(5/2)/(b*x^2+a)^2/sqrt(b^2*x^4+2*a*b*x^2+a^2)+119/256/a^3/d/(d*x)^(5/2)/(b*x^2+a)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-13923/5120*(b*x^2+a)/a^5/d/(d*x)^(5/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+13923/1024*b*(b*x^2+a)/a^6/d^3/sqrt(d*x)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-13923/2048*b^(5/4)*(b*x^2+a)*arctan(1-sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(25/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)+13923/2048*b^(5/4)*(b*x^2+a)*arctan(1+sqrt(2)*b^(1/4)*sqrt(d*x)/a^(1/4)/sqrt(d))/sqrt(2)/a^(25/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2)-13923/2048*b^(5/4)*(b*x^2+a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(d*x)/sqrt(d)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(25/4)/d^(7/2)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[x^2/(b^2*x^4+2*a*b*x^2+a^2)^(1/3),x,4,3/5*x*(b*x^2+a)/b/(b^2*x^4+2*a*b*x^2+a^2)^(1/3)+3/5*3^(3/4)*sqrt(2-sqrt(3))*a^2*(1+b*x^2/a)^(2/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(b^2*x^4+2*a*b*x^2+a^2)^(1/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2),1],
[1/(b^2*x^4+2*a*b*x^2+a^2)^(1/3),x,3,-3^(3/4)*sqrt(2-sqrt(3))*a*(1+b*x^2/a)^(2/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))),sqrt(-7+4*sqrt(3)))/b/x/(b^2*x^4+2*a*b*x^2+a^2)^(1/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2),1],
[1/x^2/(b^2*x^4+2*a*b*x^2+a^2)^(1/3),x,4,-(b*x^2+a)/a/x/(b^2*x^4+2*a*b*x^2+a^2)^(1/3)+1/3*sqrt(2-sqrt(3))*(1+b*x^2/a)^(2/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))),sqrt(-7+4*sqrt(3)))*3^(3/4)/x/(b^2*x^4+2*a*b*x^2+a^2)^(1/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2),1],
[x^2/(b^2*x^4+2*a*b*x^2+a^2)^(2/3),x,6,-3/2*x*(b*x^2+a)/b/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)-9/2*a*x*(1+b*x^2/a)^(4/3)/b/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/(1-sqrt(3)-(1+b*x^2/a)^(1/3))+9/4*3^(1/4)*sqrt(2+sqrt(3))*a^2*(1+b*x^2/a)^(4/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)-3*3^(3/4)*a^2*(1+b*x^2/a)^(4/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b^2/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2),1],
[1/(b^2*x^4+2*a*b*x^2+a^2)^(2/3),x,6,3/2*x*(b*x^2+a)/a/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)+3/2*x*(1+b*x^2/a)^(4/3)/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/(1-sqrt(3)-(1+b*x^2/a)^(1/3))-3/4*3^(1/4)*sqrt(2+sqrt(3))*a*(1+b*x^2/a)^(4/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3)))),sqrt(-7+4*sqrt(3)))/b/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)+3^(3/4)*a*(1+b*x^2/a)^(4/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2),1],
[1/x^2/(b^2*x^4+2*a*b*x^2+a^2)^(2/3),x,7,3/2*(b*x^2+a)/a/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)-5/2*(b*x^2+a)^2/a^2/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)-5/2*b*x*(1+b*x^2/a)^(4/3)/a/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/(1-sqrt(3)-(1+b*x^2/a)^(1/3))+5/4*3^(1/4)*sqrt(2+sqrt(3))*(1+b*x^2/a)^(4/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3)))),sqrt(-7+4*sqrt(3)))/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)-5/3*(1+b*x^2/a)^(4/3)*(1-(1+b*x^2/a)^(1/3))*sqrt((1+(1+b*x^2/a)^(1/3)+(1+b*x^2/a)^(2/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)*3^(3/4)/x/(b^2*x^4+2*a*b*x^2+a^2)^(2/3)/sqrt(-(1-(1+b*x^2/a)^(1/3))/(1-sqrt(3)-(1+b*x^2/a)^(1/3))^2),1],
[(d*x)^m*(b^2*x^4+2*a*b*x^2+a^2)^3,x,4,a^6*(d*x)^(1+m)/d/(1+m)+6*a^5*b*(d*x)^(3+m)/d^3/(3+m)+15*a^4*b^2*(d*x)^(5+m)/d^5/(5+m)+20*a^3*b^3*(d*x)^(7+m)/d^7/(7+m)+15*a^2*b^4*(d*x)^(9+m)/d^9/(9+m)+6*a*b^5*(d*x)^(11+m)/d^11/(11+m)+b^6*(d*x)^(13+m)/d^13/(13+m),1],
[(d*x)^m*(b^2*x^4+2*a*b*x^2+a^2)^2,x,4,a^4*(d*x)^(1+m)/d/(1+m)+4*a^3*b*(d*x)^(3+m)/d^3/(3+m)+6*a^2*b^2*(d*x)^(5+m)/d^5/(5+m)+4*a*b^3*(d*x)^(7+m)/d^7/(7+m)+b^4*(d*x)^(9+m)/d^9/(9+m),1],
[(d*x)^m*(b^2*x^4+2*a*b*x^2+a^2),x,4,a^2*(d*x)^(1+m)/d/(1+m)+2*a*b*(d*x)^(3+m)/d^3/(3+m)+b^2*(d*x)^(5+m)/d^5/(5+m),1],
[(d*x)^m/(b^2*x^4+2*a*b*x^2+a^2),x,3,(d*x)^(1+m)*hypergeom([2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^2/d/(1+m),1],
[(d*x)^m/(b^2*x^4+2*a*b*x^2+a^2)^2,x,3,(d*x)^(1+m)*hypergeom([4, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^4/d/(1+m),1],
[(d*x)^m/(b^2*x^4+2*a*b*x^2+a^2)^3,x,3,(d*x)^(1+m)*hypergeom([6, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^6/d/(1+m),1],
[(d*x)^m*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,4,a^5*(d*x)^(1+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(1+m)/(b*x^2+a)+5*a^4*b*(d*x)^(3+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(3+m)/(b*x^2+a)+10*a^3*b^2*(d*x)^(5+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(5+m)/(b*x^2+a)+10*a^2*b^3*(d*x)^(7+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(7+m)/(b*x^2+a)+5*a*b^4*(d*x)^(9+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^9/(9+m)/(b*x^2+a)+b^5*(d*x)^(11+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^11/(11+m)/(b*x^2+a),1],
[(d*x)^m*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,4,a^3*(d*x)^(1+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(1+m)/(b*x^2+a)+3*a^2*b*(d*x)^(3+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(3+m)/(b*x^2+a)+3*a*b^2*(d*x)^(5+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^5/(5+m)/(b*x^2+a)+b^3*(d*x)^(7+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^7/(7+m)/(b*x^2+a),1],
[(d*x)^m*sqrt(b^2*x^4+2*a*b*x^2+a^2),x,4,a*(d*x)^(1+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d/(1+m)/(b*x^2+a)+b*(d*x)^(3+m)*sqrt(b^2*x^4+2*a*b*x^2+a^2)/d^3/(3+m)/(b*x^2+a),1],
[(d*x)^m/sqrt(b^2*x^4+2*a*b*x^2+a^2),x,3,(d*x)^(1+m)*(b*x^2+a)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a/d/(1+m)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^m/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x,3,(d*x)^(1+m)*(b*x^2+a)*hypergeom([3, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^3/d/(1+m)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^m/(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x,3,(d*x)^(1+m)*(b*x^2+a)*hypergeom([5, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^5/d/(1+m)/sqrt(b^2*x^4+2*a*b*x^2+a^2),1],
[(d*x)^m*(b^2*x^4+2*a*b*x^2+a^2)^p,x,3,(d*x)^(1+m)*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([1/2+1/2*m, -2*p],[3/2+1/2*m],-b*x^2/a)/d/(1+m)/((1+b*x^2/a)^(2*p)),1],
[x^7*(b^2*x^4+2*a*b*x^2+a^2)^p,x,4,-1/2*a^3*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p/b^4/(1+2*p)+3/4*a^2*(b*x^2+a)^2*(b^2*x^4+2*a*b*x^2+a^2)^p/b^4/(p+1)-3/2*a*(b*x^2+a)^3*(b^2*x^4+2*a*b*x^2+a^2)^p/b^4/(3+2*p)+1/4*(b*x^2+a)^4*(b^2*x^4+2*a*b*x^2+a^2)^p/b^4/(2+p),1],
[x^5*(b^2*x^4+2*a*b*x^2+a^2)^p,x,4,1/2*a^2*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p/b^3/(1+2*p)-1/2*a*(b*x^2+a)^2*(b^2*x^4+2*a*b*x^2+a^2)^p/b^3/(p+1)+1/2*(b*x^2+a)^3*(b^2*x^4+2*a*b*x^2+a^2)^p/b^3/(3+2*p),1],
[x^3*(b^2*x^4+2*a*b*x^2+a^2)^p,x,4,-1/2*a*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p/b^2/(1+2*p)+1/4*(b^2*x^4+2*a*b*x^2+a^2)^(p+1)/b^2/(p+1),1],
[x*(b^2*x^4+2*a*b*x^2+a^2)^p,x,3,1/2*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p/b/(1+2*p),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p/x,x,3,-1/2*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([1, 1+2*p],[2*p+2],1+b*x^2/a)/a/(1+2*p),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p/x^3,x,3,1/2*b*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([2, 1+2*p],[2*p+2],1+b*x^2/a)/a^2/(1+2*p),1],
[x^4*(b^2*x^4+2*a*b*x^2+a^2)^p,x,2,1/5*x^5*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([5/2, -2*p],[7/2],-b*x^2/a)/((1+b*x^2/a)^(2*p)),1],
[x^2*(b^2*x^4+2*a*b*x^2+a^2)^p,x,2,1/3*x^3*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([3/2, -2*p],[5/2],-b*x^2/a)/((1+b*x^2/a)^(2*p)),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p,x,2,x*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([1/2, -2*p],[3/2],-b*x^2/a)/((1+b*x^2/a)^(2*p)),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p/x^2,x,2,-(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([-1/2, -2*p],[1/2],-b*x^2/a)/x/((1+b*x^2/a)^(2*p)),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p/x^4,x,2,-1/3*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([-3/2, -2*p],[-1/2],-b*x^2/a)/x^3/((1+b*x^2/a)^(2*p)),1],
[(d*x)^(3/2)*(b^2*x^4+2*a*b*x^2+a^2)^p,x,3,2/5*(d*x)^(5/2)*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([5/4, -2*p],[9/4],-b*x^2/a)/d/((1+b*x^2/a)^(2*p)),1],
[sqrt(d*x)*(b^2*x^4+2*a*b*x^2+a^2)^p,x,3,2/3*(d*x)^(3/2)*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([3/4, -2*p],[7/4],-b*x^2/a)/d/((1+b*x^2/a)^(2*p)),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p/sqrt(d*x),x,3,2*sqrt(d*x)*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([1/4, -2*p],[5/4],-b*x^2/a)/d/((1+b*x^2/a)^(2*p)),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p/(d*x)^(3/2),x,3,-2*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([-1/4, -2*p],[3/4],-b*x^2/a)/d/sqrt(d*x)/((1+b*x^2/a)^(2*p)),1],
[(b^2*x^4+2*a*b*x^2+a^2)^p/(d*x)^(5/2),x,3,-2/3*(b^2*x^4+2*a*b*x^2+a^2)^p*hypergeom([-3/4, -2*p],[1/4],-b*x^2/a)/d/(d*x)^(3/2)/((1+b*x^2/a)^(2*p)),1],
[x^6/sqrt((b*x^2+a)*(d*x^2+c)),x,7,-1/15*(9*a*b*c*d-8*(a*d+b*c)^2)*x*(d*x^2+c)/b^2/d^3/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-4/15*(a*d+b*c)*x*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/b^2/d^2+1/5*x^3*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/b/d+1/15*c*(9*a*b*c*d-8*(a*d+b*c)^2)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/sqrt(a)/b^(5/2)/d^3/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+4/15*sqrt(a)*c*(a*d+b*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/b^(5/2)/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[x^4/sqrt((b*x^2+a)*(d*x^2+c)),x,6,-2/3*(a*d+b*c)*x*(d*x^2+c)/b/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+1/3*x*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/b/d+2/3*c*(a*d+b*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/sqrt(a)/b^(3/2)/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/3*sqrt(a)*c*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/b^(3/2)/d/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[x^2/sqrt((b*x^2+a)*(d*x^2+c)),x,3,x*(d*x^2+c)/d/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-c*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/sqrt(a)/sqrt(b)/d/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[1/sqrt((b*x^2+a)*(d*x^2+c)),x,2,(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/sqrt(a)/sqrt(b)/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[1/x^2/sqrt((b*x^2+a)*(d*x^2+c)),x,3,-sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/c/x/(b*x^2+a)-sqrt(b)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/a^(3/2)/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[1/x^4/sqrt((b*x^2+a)*(d*x^2+c)),x,6,-1/3*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/a/c/x^3+2/3*(a*d+b*c)*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/a/c^2/x/(b*x^2+a)+2/3*sqrt(b)*(a*d+b*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/a^(5/2)/c/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/3*sqrt(b)*d*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/a^(3/2)/c/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[1/x^6/sqrt((b*x^2+a)*(d*x^2+c)),x,7,-1/5*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/a/c/x^5+4/15*(a*d+b*c)*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/a^2/c^2/x^3+1/15*(9*a*b*c*d-8*(a*d+b*c)^2)*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/a^2/c^3/x/(b*x^2+a)+1/15*sqrt(b)*(9*a*b*c*d-8*(a*d+b*c)^2)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/a^(7/2)/c^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+4/15*sqrt(b)*d*(a*d+b*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/a^(5/2)/c^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[x^6/sqrt(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4),x,6,1/15*(7*a*c+8*c^2*d^2/e^2+8*a^2*e^2/d^2)*x*(c*d*x^2+a*e)/c^3/d/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)-4/15*(d/e+a*e/c/d)*x*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/c+1/5*x^3*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/c-1/15*a*(8*a^2*e^4+7*a*c*d^2*e^2+8*c^2*d^4)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c*d^2/a/e^2))/c^3/d^(7/2)/e^(3/2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)+4/15*a*(a*e^2+c*d^2)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c*d^2/a/e^2))/c^2/d^(3/2)/e^(3/2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[x^4/sqrt(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4),x,5,-2/3*(1/e+a*e/c/d^2)*x*(c*d*x^2+a*e)/c/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)+1/3*x*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/c+2/3*a*(a*e^2+c*d^2)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c*d^2/a/e^2))/c^2/d^(5/2)/sqrt(e)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)-1/3*a*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c*d^2/a/e^2))/c/sqrt(d)/sqrt(e)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[x^2/sqrt(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4),x,2,x*(c*d*x^2+a*e)/c/d/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)-a*sqrt(e)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c*d^2/a/e^2))/c/d^(3/2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[1/sqrt(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4),x,1,sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c*d^2/a/e^2))/sqrt(d)/sqrt(e)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[1/x^2/sqrt(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4),x,2,-d*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/a/x/(e*x^2+d)-sqrt(e)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c*d^2/a/e^2))/d^(3/2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[1/x^4/sqrt(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4),x,5,-1/3*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/a/x^3+2/3*(a*e^2+c*d^2)*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/a^2/e/x/(e*x^2+d)+2/3*(a*e^2+c*d^2)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c*d^2/a/e^2))/a/d^(5/2)/sqrt(e)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)-1/3*c*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c*d^2/a/e^2))/a/sqrt(d)/sqrt(e)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[1/x^6/sqrt(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4),x,6,-1/5*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/a/x^5+4/15*(c*d/a/e+e/d)*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/a/x^3+1/15*d*(9*a*c-8*(a*e^2+c*d^2)^2/d^2/e^2)*sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)/a^3/x/(e*x^2+d)+1/15*sqrt(e)*(9*a*c-8*(a*e^2+c*d^2)^2/d^2/e^2)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c*d^2/a/e^2))/a^2/d^(3/2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)+4/15*c*(a*e^2+c*d^2)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c*d^2/a/e^2))/a^2/d^(3/2)/e^(3/2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[x^6/sqrt(a+b*x^2+(-a*e^2+b*d*e)*x^4/d^2),x,6,1/15*d^2*(9*a^2*e^2-9*a*b*d*e+8*b^2*d^2)*x*(a*d+(-a*e+b*d)*x^2)/e^2/(-a*e+b*d)^3/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)-4/15*b*d^4*x*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/e^2/(-a*e+b*d)^2+1/5*d^2*x^3*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/e/(-a*e+b*d)-1/15*a*d^(5/2)*(9*a^2*e^2-9*a*b*d*e+8*b^2*d^2)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(2-b*d/a/e))/e^(5/2)/(-a*e+b*d)^3/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)+4/15*a*b*d^(7/2)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(2-b*d/a/e))/e^(5/2)/(-a*e+b*d)^2/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2),1],
[x^4/sqrt(a+b*x^2+(-a*e^2+b*d*e)*x^4/d^2),x,5,-2/3*b*d^2*x*(a*d+(-a*e+b*d)*x^2)/e/(-a*e+b*d)^2/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)+1/3*d^2*x*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/e/(-a*e+b*d)+2/3*a*b*d^(5/2)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(2-b*d/a/e))/e^(3/2)/(-a*e+b*d)^2/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)-1/3*a*d^(3/2)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(2-b*d/a/e))/e^(3/2)/(-a*e+b*d)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2),1],
[x^2/sqrt(a+b*x^2+(-a*e^2+b*d*e)*x^4/d^2),x,2,x*(a*d+(-a*e+b*d)*x^2)/(-a*e+b*d)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)-a*sqrt(d)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(2-b*d/a/e))/sqrt(e)/(-a*e+b*d)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2),1],
[1/sqrt(a+b*x^2+(-a*e^2+b*d*e)*x^4/d^2),x,1,(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(2-b*d/a/e))/sqrt(d)/sqrt(e)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2),1],
[1/x^2/sqrt(a+b*x^2+(-a*e^2+b*d*e)*x^4/d^2),x,2,-d*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/a/x/(e*x^2+d)-sqrt(e)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(2-b*d/a/e))/d^(3/2)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2),1],
[1/x^4/sqrt(a+b*x^2+(-a*e^2+b*d*e)*x^4/d^2),x,5,-1/3*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/a/x^3+2/3*b*d*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/a^2/x/(e*x^2+d)+2/3*b*sqrt(e)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(2-b*d/a/e))/a/d^(3/2)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)-1/3*sqrt(e)*(-a*e+b*d)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(2-b*d/a/e))/a/d^(5/2)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2),1],
[1/x^6/sqrt(a+b*x^2+(-a*e^2+b*d*e)*x^4/d^2),x,6,-1/5*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/a/x^5+4/15*b*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/a^2/x^3-1/15*d*(8*b^2-9*a*e*(-a*e+b*d)/d^2)*sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)/a^3/x/(e*x^2+d)-1/15*sqrt(e)*(9*a^2*e^2-9*a*b*d*e+8*b^2*d^2)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(2-b*d/a/e))/a^2/d^(7/2)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2)+4/15*b*sqrt(e)*(-a*e+b*d)*(e*x^2+d)*sqrt((a*d+(-a*e+b*d)*x^2)/a/(e*x^2+d))*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(2-b*d/a/e))/a^2/d^(5/2)/sqrt(a+b*x^2+e*(-a*e+b*d)*x^4/d^2),1],
[x^6/sqrt((b*d*e-c*d^2)/e^2+b*x^2+c*x^4),x,6,-4/15*b*x*sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)/c^2+1/5*x^3*sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)/c+1/15*d*sqrt(-b*e+c*d)*(8*b^2*e^2-9*b*c*d*e+9*c^2*d^2)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*EllipticE(sin(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d))),sqrt(-1+b*e/c/d))/c^(5/2)/e^(7/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)-1/15*d*sqrt(-b*e+c*d)*(4*b^2*e^2-5*b*c*d*e+9*c^2*d^2)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*InverseJacobiAM(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d)),sqrt(-1+b*e/c/d))/c^(5/2)/e^(7/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4),1],
[x^4/sqrt((b*d*e-c*d^2)/e^2+b*x^2+c*x^4),x,5,1/3*x*sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)/c-2/3*b*d*sqrt(-b*e+c*d)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*EllipticE(sin(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d))),sqrt(-1+b*e/c/d))/c^(3/2)/e^(3/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)+1/3*d*sqrt(-b*e+c*d)*(b*e+c*d)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*InverseJacobiAM(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d)),sqrt(-1+b*e/c/d))/c^(3/2)/e^(5/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4),1],
[x^2/sqrt((b*d*e-c*d^2)/e^2+b*x^2+c*x^4),x,4,d*sqrt(-b*e+c*d)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*EllipticE(sin(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d))),sqrt(-1+b*e/c/d))/sqrt(c)/e^(3/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)-d*sqrt(-b*e+c*d)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*InverseJacobiAM(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d)),sqrt(-1+b*e/c/d))/sqrt(c)/e^(3/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4),1],
[1/sqrt((b*d*e-c*d^2)/e^2+b*x^2+c*x^4),x,2,sqrt(-b*e+c*d)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*InverseJacobiAM(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d)),sqrt(-1+b*e/c/d))/sqrt(c)/sqrt(e)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4),1],
[1/x^2/sqrt((b*d*e-c*d^2)/e^2+b*x^2+c*x^4),x,2,e^2*sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)/(-b*e+c*d)/x/(e*x^2+d)-sqrt(e)*(e*x^2+d)*sqrt(d*(-c*e*x^2-b*e+c*d)/(-b*e+c*d)/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt((-b*e+2*c*d)/(-b*e+c*d)))/d^(3/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4),1],
[1/x^4/sqrt((b*d*e-c*d^2)/e^2+b*x^2+c*x^4),x,6,1/3*e^2*sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)/d/(-b*e+c*d)/x^3+2/3*b*e^4*sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)/d^2/(-b*e+c*d)^2/x-2/3*b*sqrt(c)*e^(5/2)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*EllipticE(sin(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d))),sqrt(-1+b*e/c/d))/d/(-b*e+c*d)^(3/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4)+1/3*sqrt(c)*e^(3/2)*(b*e+c*d)*sqrt(1+e*x^2/d)*sqrt(1-c*e*x^2/(-b*e+c*d))*InverseJacobiAM(arcsin(sqrt(c)*sqrt(e)*x/sqrt(-b*e+c*d)),sqrt(-1+b*e/c/d))/d/(-b*e+c*d)^(3/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4),1],
[x^2/sqrt(-x^4+6*x^2-8),x,0,2*sqrt(x^2-2)*EllipticE(sin(arcsin(x/sqrt(2))),sqrt(1/2))/sqrt(-x^2+2)-2*sqrt(2)*InverseJacobiAM(arccos(1/2*x),sqrt(2)),1],
[x^2*(c*x^4+b*x^2+a),x,2,1/3*a*x^3+1/5*b*x^5+1/7*c*x^7,1],
[x*(c*x^4+b*x^2+a),x,2,1/2*a*x^2+1/4*b*x^4+1/6*c*x^6,1],
[c*x^4+b*x^2+a,x,1,a*x+1/3*b*x^3+1/5*c*x^5,1],
[(c*x^4+b*x^2+a)/x,x,2,1/2*b*x^2+1/4*c*x^4+a*ln(x),1],
[(c*x^4+b*x^2+a)/x^2,x,2,-a/x+b*x+1/3*c*x^3,1],
[(c*x^4+b*x^2+a)/x^3,x,2,-1/2*a/x^2+1/2*c*x^2+b*ln(x),1],
[(c*x^4+b*x^2+a)/x^4,x,2,-1/3*a/x^3-b/x+c*x,1],
[(c*x^4+b*x^2+a)/x^5,x,2,-1/4*a/x^4-1/2*b/x^2+c*ln(x),1],
[(c*x^4+b*x^2+a)/x^6,x,2,-1/5*a/x^5-1/3*b/x^3-c/x,1],
[(c*x^4+b*x^2+a)/x^7,x,2,-1/6*a/x^6-1/4*b/x^4-1/2*c/x^2,1],
[(c*x^4+b*x^2+a)/x^8,x,2,-1/7*a/x^7-1/5*b/x^5-1/3*c/x^3,1],
[x^2*(c*x^4+b*x^2+a)^2,x,2,1/3*a^2*x^3+2/5*a*b*x^5+1/7*(2*a*c+b^2)*x^7+2/9*b*c*x^9+1/11*c^2*x^11,1],
[x*(c*x^4+b*x^2+a)^2,x,3,1/2*a^2*x^2+1/2*a*b*x^4+1/6*(2*a*c+b^2)*x^6+1/4*b*c*x^8+1/10*c^2*x^10,1],
[(c*x^4+b*x^2+a)^2,x,2,a^2*x+2/3*a*b*x^3+1/5*(2*a*c+b^2)*x^5+2/7*b*c*x^7+1/9*c^2*x^9,1],
[(c*x^4+b*x^2+a)^2/x,x,2,a*b*x^2+1/4*(2*a*c+b^2)*x^4+1/3*b*c*x^6+1/8*c^2*x^8+a^2*ln(x),1],
[(c*x^4+b*x^2+a)^2/x^2,x,2,-a^2/x+2*a*b*x+1/3*(2*a*c+b^2)*x^3+2/5*b*c*x^5+1/7*c^2*x^7,1],
[(c*x^4+b*x^2+a)^2/x^3,x,2,-1/2*a^2/x^2+1/2*(2*a*c+b^2)*x^2+1/2*b*c*x^4+1/6*c^2*x^6+2*a*b*ln(x),1],
[(c*x^4+b*x^2+a)^2/x^4,x,2,-1/3*a^2/x^3-2*a*b/x+(2*a*c+b^2)*x+2/3*b*c*x^3+1/5*c^2*x^5,1],
[(c*x^4+b*x^2+a)^2/x^5,x,2,-1/4*a^2/x^4-a*b/x^2+b*c*x^2+1/4*c^2*x^4+(2*a*c+b^2)*ln(x),1],
[(c*x^4+b*x^2+a)^2/x^6,x,2,-1/5*a^2/x^5-2/3*a*b/x^3-(2*a*c+b^2)/x+2*b*c*x+1/3*c^2*x^3,1],
[(c*x^4+b*x^2+a)^2/x^7,x,2,-1/6*a^2/x^6-1/2*a*b/x^4-1/2*(2*a*c+b^2)/x^2+1/2*c^2*x^2+2*b*c*ln(x),1],
[(c*x^4+b*x^2+a)^2/x^8,x,2,-1/7*a^2/x^7-2/5*a*b/x^5-1/3*(2*a*c+b^2)/x^3-2*b*c/x+c^2*x,1],
[(c*x^4+b*x^2+a)^2/x^9,x,2,-1/8*a^2/x^8-1/3*a*b/x^6-1/4*(2*a*c+b^2)/x^4-b*c/x^2+c^2*ln(x),1],
[(c*x^4+b*x^2+a)^2/x^10,x,2,-1/9*a^2/x^9-2/7*a*b/x^7-1/5*(2*a*c+b^2)/x^5-2/3*b*c/x^3-c^2/x,1],
[(c*x^4+b*x^2+a)^2/x^11,x,2,-1/10*a^2/x^10-1/4*a*b/x^8-1/6*(2*a*c+b^2)/x^6-1/2*b*c/x^4-1/2*c^2/x^2,1],
[(c*x^4+b*x^2+a)^2/x^12,x,2,-1/11*a^2/x^11-2/9*a*b/x^9-1/7*(2*a*c+b^2)/x^7-2/5*b*c/x^5-1/3*c^2/x^3,1],
[(c*x^4+b*x^2+a)^2/x^13,x,2,-1/12*a^2/x^12-1/5*a*b/x^10-1/8*(2*a*c+b^2)/x^8-1/3*b*c/x^6-1/4*c^2/x^4,1],
[x^2*(c*x^4+b*x^2+a)^3,x,2,1/3*a^3*x^3+3/5*a^2*b*x^5+3/7*a*(a*c+b^2)*x^7+1/9*b*(6*a*c+b^2)*x^9+3/11*c*(a*c+b^2)*x^11+3/13*b*c^2*x^13+1/15*c^3*x^15,1],
[x*(c*x^4+b*x^2+a)^3,x,3,1/2*a^3*x^2+3/4*a^2*b*x^4+1/2*a*(a*c+b^2)*x^6+1/8*b*(6*a*c+b^2)*x^8+3/10*c*(a*c+b^2)*x^10+1/4*b*c^2*x^12+1/14*c^3*x^14,1],
[(c*x^4+b*x^2+a)^3,x,2,a^3*x+a^2*b*x^3+3/5*a*(a*c+b^2)*x^5+1/7*b*(6*a*c+b^2)*x^7+1/3*c*(a*c+b^2)*x^9+3/11*b*c^2*x^11+1/13*c^3*x^13,1],
[(c*x^4+b*x^2+a)^3/x,x,2,3/2*a^2*b*x^2+3/4*a*(a*c+b^2)*x^4+1/6*b*(6*a*c+b^2)*x^6+3/8*c*(a*c+b^2)*x^8+3/10*b*c^2*x^10+1/12*c^3*x^12+a^3*ln(x),1],
[(c*x^4+b*x^2+a)^3/x^2,x,2,-a^3/x+3*a^2*b*x+a*(a*c+b^2)*x^3+1/5*b*(6*a*c+b^2)*x^5+3/7*c*(a*c+b^2)*x^7+1/3*b*c^2*x^9+1/11*c^3*x^11,1],
[(c*x^4+b*x^2+a)^3/x^3,x,2,-1/2*a^3/x^2+3/2*a*(a*c+b^2)*x^2+1/4*b*(6*a*c+b^2)*x^4+1/2*c*(a*c+b^2)*x^6+3/8*b*c^2*x^8+1/10*c^3*x^10+3*a^2*b*ln(x),1],
[(c*x^4+b*x^2+a)^3/x^4,x,2,-1/3*a^3/x^3-3*a^2*b/x+3*a*(a*c+b^2)*x+1/3*b*(6*a*c+b^2)*x^3+3/5*c*(a*c+b^2)*x^5+3/7*b*c^2*x^7+1/9*c^3*x^9,1],
[x^7/(c*x^4+b*x^2+a),x,7,-1/2*b*x^2/c^2+1/4*x^4/c+1/2*b*(-3*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/4*(-a*c+b^2)*ln(c*x^4+b*x^2+a)/c^3,1],
[x^5/(c*x^4+b*x^2+a),x,7,1/2*x^2/c-1/2*(-2*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)-1/4*b*ln(c*x^4+b*x^2+a)/c^2,1],
[x^3/(c*x^4+b*x^2+a),x,5,1/2*b*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/4*ln(c*x^4+b*x^2+a)/c,1],
[x/(c*x^4+b*x^2+a),x,3,-arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[1/x/(c*x^4+b*x^2+a),x,6,1/2*b*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a/sqrt(-4*a*c+b^2)+ln(x)/a-1/4*ln(c*x^4+b*x^2+a)/a,1],
[1/x^3/(c*x^4+b*x^2+a),x,8,-1/2/a/x^2-1/2*(-2*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/sqrt(-4*a*c+b^2)-b*ln(x)/a^2+1/4*b*ln(c*x^4+b*x^2+a)/a^2,1],
[1/x^5/(c*x^4+b*x^2+a),x,8,-1/4/a/x^4+1/2*b/a^2/x^2+1/2*b*(-3*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^3/sqrt(-4*a*c+b^2)+(-a*c+b^2)*ln(x)/a^3-1/4*(-a*c+b^2)*ln(c*x^4+b*x^2+a)/a^3,1],
[x^6/(c*x^4+b*x^2+a),x,5,-b*x/c^2+1/3*x^3/c+(b^2-a*c-b*(-3*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/sqrt(b-sqrt(-4*a*c+b^2))+(b^2-a*c+b*(-3*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^4/(c*x^4+b*x^2+a),x,5,x/c-(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^2/(c*x^4+b*x^2+a),x,3,-sqrt(b-sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2)+sqrt(b+sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2),1],
[1/(c*x^4+b*x^2+a),x,3,sqrt(2)*sqrt(c)*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(2)*sqrt(c)*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^2/(c*x^4+b*x^2+a),x,5,-1/a/x-sqrt(c)*(1+b/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(c)*(1-b/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^4/(c*x^4+b*x^2+a),x,5,-1/3/a/x^3+b/a^2/x+sqrt(c)*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/sqrt(b-sqrt(-4*a*c+b^2))+sqrt(c)*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^7/(c*x^4+f*x^2+a),x,7,-1/2*f*x^2/c^2+1/4*x^4/c+1/2*f*(3*a*c-f^2)*arctan((2*c*x^2+f)/sqrt(4*a*c-f^2))/c^3/sqrt(4*a*c-f^2)-1/4*(a*c-f^2)*ln(c*x^4+f*x^2+a)/c^3,1],
[x^5/(c*x^4+f*x^2+a),x,7,1/2*x^2/c-1/2*(2*a*c-f^2)*arctan((2*c*x^2+f)/sqrt(4*a*c-f^2))/c^2/sqrt(4*a*c-f^2)-1/4*f*ln(c*x^4+f*x^2+a)/c^2,1],
[x^3/(c*x^4+f*x^2+a),x,5,-1/2*f*arctan((2*c*x^2+f)/sqrt(4*a*c-f^2))/c/sqrt(4*a*c-f^2)+1/4*ln(c*x^4+f*x^2+a)/c,1],
[x/(c*x^4+f*x^2+a),x,3,arctan((2*c*x^2+f)/sqrt(4*a*c-f^2))/sqrt(4*a*c-f^2),1],
[1/x/(c*x^4+f*x^2+a),x,6,-1/2*f*arctan((2*c*x^2+f)/sqrt(4*a*c-f^2))/a/sqrt(4*a*c-f^2)+ln(x)/a-1/4*ln(c*x^4+f*x^2+a)/a,1],
[1/x^3/(c*x^4+f*x^2+a),x,8,-1/2/a/x^2-1/2*(2*a*c-f^2)*arctan((2*c*x^2+f)/sqrt(4*a*c-f^2))/a^2/sqrt(4*a*c-f^2)-f*ln(x)/a^2+1/4*f*ln(c*x^4+f*x^2+a)/a^2,1],
[1/x^5/(c*x^4+f*x^2+a),x,8,-1/4/a/x^4+1/2*f/a^2/x^2+1/2*f*(3*a*c-f^2)*arctan((2*c*x^2+f)/sqrt(4*a*c-f^2))/a^3/sqrt(4*a*c-f^2)-(a*c-f^2)*ln(x)/a^3+1/4*(a*c-f^2)*ln(c*x^4+f*x^2+a)/a^3,1],
[x^8/(c*x^4+f*x^2+a),x,10,-(a*c-f^2)*x/c^3-1/3*f*x^3/c^2+1/5*x^5/c-1/2*(2*a*c*f-f^3+sqrt(a)*sqrt(c)*(a*c-f^2))*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)-2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/c^(7/2)/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*(2*a*c*f-f^3+sqrt(a)*sqrt(c)*(a*c-f^2))*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)+2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/c^(7/2)/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*(a^(3/2)*c^(3/2)-2*a*c*f-sqrt(a)*sqrt(c)*f^2+f^3)*arctanh(sqrt(2*sqrt(a)*sqrt(c)-f)*x/(sqrt(a)+sqrt(c)*x^2))/c^(7/2)/sqrt(2*sqrt(a)*sqrt(c)-f),1],
[x^6/(c*x^4+f*x^2+a),x,10,-f*x/c^2+1/3*x^3/c+1/2*(a*c-sqrt(a)*sqrt(c)*f-f^2)*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)-2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/c^(5/2)/sqrt(2*sqrt(a)*sqrt(c)+f)-1/2*(a*c-sqrt(a)*sqrt(c)*f-f^2)*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)+2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/c^(5/2)/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*(a*c+sqrt(a)*sqrt(c)*f-f^2)*arctanh(sqrt(2*sqrt(a)*sqrt(c)-f)*x/(sqrt(a)+sqrt(c)*x^2))/c^(5/2)/sqrt(2*sqrt(a)*sqrt(c)-f),1],
[x^4/(c*x^4+f*x^2+a),x,10,x/c+1/2*(sqrt(a)*sqrt(c)+f)*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)-2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/c^(3/2)/sqrt(2*sqrt(a)*sqrt(c)+f)-1/2*(sqrt(a)*sqrt(c)+f)*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)+2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/c^(3/2)/sqrt(2*sqrt(a)*sqrt(c)+f)-1/2*(sqrt(a)*sqrt(c)-f)*arctanh(sqrt(2*sqrt(a)*sqrt(c)-f)*x/(sqrt(a)+sqrt(c)*x^2))/c^(3/2)/sqrt(2*sqrt(a)*sqrt(c)-f),1],
[x^2/(c*x^4+f*x^2+a),x,8,-1/2*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)-2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/sqrt(c)/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)+2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/sqrt(c)/sqrt(2*sqrt(a)*sqrt(c)+f)-1/2*arctanh(sqrt(2*sqrt(a)*sqrt(c)-f)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(c)/sqrt(2*sqrt(a)*sqrt(c)-f),1],
[1/(c*x^4+f*x^2+a),x,8,-1/2*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)-2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/sqrt(a)/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)+2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/sqrt(a)/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*arctanh(sqrt(2*sqrt(a)*sqrt(c)-f)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(a)/sqrt(2*sqrt(a)*sqrt(c)-f),1],
[1/x^2/(c*x^4+f*x^2+a),x,10,-1/a/x+1/2*(sqrt(c)+f/sqrt(a))*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)-2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/a/sqrt(2*sqrt(a)*sqrt(c)+f)-1/2*(sqrt(c)+f/sqrt(a))*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)+2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/a/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*(sqrt(c)-f/sqrt(a))*arctanh(sqrt(2*sqrt(a)*sqrt(c)-f)*x/(sqrt(a)+sqrt(c)*x^2))/a/sqrt(2*sqrt(a)*sqrt(c)-f),1],
[1/x^4/(c*x^4+f*x^2+a),x,10,-1/3/a/x^3+f/a^2/x-1/2*(sqrt(c)*f-(a*c-f^2)/sqrt(a))*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)-2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/a^2/sqrt(2*sqrt(a)*sqrt(c)+f)+1/2*(sqrt(c)*f-(a*c-f^2)/sqrt(a))*arctan((sqrt(2*sqrt(a)*sqrt(c)-f)+2*sqrt(c)*x)/sqrt(2*sqrt(a)*sqrt(c)+f))/a^2/sqrt(2*sqrt(a)*sqrt(c)+f)-1/2*(a*c+sqrt(a)*sqrt(c)*f-f^2)*arctanh(sqrt(2*sqrt(a)*sqrt(c)-f)*x/(sqrt(a)+sqrt(c)*x^2))/a^(5/2)/sqrt(2*sqrt(a)*sqrt(c)-f),1],
[x^7/(c*x^4+b*x^2+a)^2,x,8,-1/2*b*x^2/c/(-4*a*c+b^2)+1/2*x^4*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*b*(-6*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/4*ln(c*x^4+b*x^2+a)/c^2,1],
[x^5/(c*x^4+b*x^2+a)^2,x,4,1/2*x^2*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+2*a*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x^3/(c*x^4+b*x^2+a)^2,x,4,1/2*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-b*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x/(c*x^4+b*x^2+a)^2,x,4,-1/2*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+2*c*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[1/x/(c*x^4+b*x^2+a)^2,x,8,1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*b*(-6*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/(-4*a*c+b^2)^(3/2)+ln(x)/a^2-1/4*ln(c*x^4+b*x^2+a)/a^2,1],
[1/x^3/(c*x^4+b*x^2+a)^2,x,8,-(-3*a*c+b^2)/a^2/(-4*a*c+b^2)/x^2+1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^2/(c*x^4+b*x^2+a)-(6*a^2*c^2-6*a*b^2*c+b^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^3/(-4*a*c+b^2)^(3/2)-2*b*ln(x)/a^3+1/2*b*ln(c*x^4+b*x^2+a)/a^3,1],
[x^8/(c*x^4+b*x^2+a)^2,x,6,x/c^2+1/2*x*(a*(-2*a*c+b^2)+b*(-3*a*c+b^2)*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(3*b^3-13*a*b*c-(20*a^2*c^2-19*a*b^2*c+3*b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(3*b^3-13*a*b*c+(20*a^2*c^2-19*a*b^2*c+3*b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^6/(c*x^4+b*x^2+a)^2,x,4,-1/2*x*(a*b+(-2*a*c+b^2)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(6*a-b^2/c+b*(-8*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(6*a-b^2/c-b*(-8*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^4/(c*x^4+b*x^2+a)^2,x,4,1/2*x*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b-(4*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*(b^2+4*a*c+b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^2/(c*x^4+b*x^2+a)^2,x,4,-1/2*x*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+sqrt(c)*(2*b-sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(c)*(2*b+sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/(c*x^4+b*x^2+a)^2,x,4,1/2*x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(b^2-12*a*c+b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*sqrt(c)*(b^2-12*a*c-b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^2/(c*x^4+b*x^2+a)^2,x,5,-1/2*(-10*a*c+3*b^2)/a^2/(-4*a*c+b^2)/x+1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x/(c*x^4+b*x^2+a)-1/2*sqrt(c)*(3*b^3-16*a*b*c+(-10*a*c+3*b^2)*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*sqrt(c)*(3*b^3-16*a*b*c-(-10*a*c+3*b^2)*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^11/(c*x^4+b*x^2+a)^3,x,9,-1/2*b*(-7*a*c+b^2)*x^2/c^2/(-4*a*c+b^2)^2+1/4*x^8*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/4*x^4*(a*(-16*a*c+b^2)+b*(-10*a*c+b^2)*x^2)/c/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/2*b*(30*a^2*c^2-10*a*b^2*c+b^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(5/2)+1/4*ln(c*x^4+b*x^2+a)/c^3,1],
[x^9/(c*x^4+b*x^2+a)^3,x,5,1/4*x^6*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-3/2*a*x^2*(b*x^2+2*a)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)-6*a^2*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[x^7/(c*x^4+b*x^2+a)^3,x,5,-1/4*x^6*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+3/4*b*x^2*(b*x^2+2*a)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3*a*b*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[x^5/(c*x^4+b*x^2+a)^3,x,5,1/4*x^2*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/2*(3*a*b+(2*a*c+b^2)*x^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)-(2*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[x^3/(c*x^4+b*x^2+a)^3,x,5,1/4*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-3/4*b*(2*c*x^2+b)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3*b*c*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[x/(c*x^4+b*x^2+a)^3,x,5,-1/4*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+3/2*c*(2*c*x^2+b)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)-6*c^2*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[1/x/(c*x^4+b*x^2+a)^3,x,9,1/4*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/4*(2*b^4-15*a*b^2*c+16*a^2*c^2+2*b*c*(-7*a*c+b^2)*x^2)/a^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/2*b*(30*a^2*c^2-10*a*b^2*c+b^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^3/(-4*a*c+b^2)^(5/2)+ln(x)/a^3-1/4*ln(c*x^4+b*x^2+a)/a^3,1],
[1/x^3/(c*x^4+b*x^2+a)^3,x,9,-3/2*(-5*a*c+b^2)*(-2*a*c+b^2)/a^3/(-4*a*c+b^2)^2/x^2+1/4*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^2/(c*x^4+b*x^2+a)^2+1/4*(3*b^4-20*a*b^2*c+20*a^2*c^2+3*b*c*(-6*a*c+b^2)*x^2)/a^2/(-4*a*c+b^2)^2/x^2/(c*x^4+b*x^2+a)-3/2*(-20*a^3*c^3+30*a^2*b^2*c^2-10*a*b^4*c+b^6)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^4/(-4*a*c+b^2)^(5/2)-3*b*ln(x)/a^4+3/4*b*ln(c*x^4+b*x^2+a)/a^4,1],
[x^10/(c*x^4+b*x^2+a)^3,x,7,-1/4*b*x/c^2/(-4*a*c+b^2)+1/4*x^7*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-1/8*x*(a*b*(-16*a*c+b^2)+(28*a^2*c^2-17*a*b^2*c+b^4)*x^2)/c^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3/8*(b^4-9*a*b^2*c+28*a^2*c^2-b*(44*a^2*c^2-11*a*b^2*c+b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)^2/sqrt(b-sqrt(-4*a*c+b^2))+3/8*(b^4-9*a*b^2*c+28*a^2*c^2+b*(44*a^2*c^2-11*a*b^2*c+b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^8/(c*x^4+b*x^2+a)^3,x,5,1/4*x^5*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-1/8*x*(a*(20*a*c+b^2)+b*(8*a*c+b^2)*x^2)/c/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*(b^3-16*a*b*c-(-40*a^2*c^2-18*a*b^2*c+b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/(-4*a*c+b^2)^2/sqrt(b-sqrt(-4*a*c+b^2))-1/8*(16*a*b-b^3/c-(-40*a^2*c^2-18*a*b^2*c+b^4)/c/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^6/(c*x^4+b*x^2+a)^3,x,5,1/4*x^3*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+3/8*x*(4*a*b+(4*a*c+b^2)*x^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3/8*(b^2+4*a*c-b*(12*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^2/sqrt(b-sqrt(-4*a*c+b^2))+3/8*(b^2+4*a*c+b*(12*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^4/(c*x^4+b*x^2+a)^3,x,5,1/4*x*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-1/8*x*(12*b*c*x^2-4*a*c+7*b^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3/4*sqrt(c)*(3*b^2+4*a*c-2*b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(b-sqrt(-4*a*c+b^2))-3/4*sqrt(c)*(3*b^2+4*a*c+2*b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^2/(c*x^4+b*x^2+a)^3,x,5,-1/4*x*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/8*x*(b*(8*a*c+b^2)+c*(20*a*c+b^2)*x^2)/a/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*sqrt(c)*(b^2+20*a*c+b*(-52*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^2/sqrt(b-sqrt(-4*a*c+b^2))+1/8*sqrt(c)*(b^2+20*a*c-b*(-52*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/(c*x^4+b*x^2+a)^3,x,5,1/4*x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/8*x*((-7*a*c+b^2)*(-4*a*c+3*b^2)+3*b*c*(-8*a*c+b^2)*x^2)/a^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3/8*sqrt(c)*(b^4-10*a*b^2*c+56*a^2*c^2+b*(-8*a*c+b^2)*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/(-4*a*c+b^2)^(5/2)/sqrt(b-sqrt(-4*a*c+b^2))+3/8*sqrt(c)*(b^3-8*a*b*c-(56*a^2*c^2-10*a*b^2*c+b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^2/(c*x^4+b*x^2+a)^3,x,6,-3/8*(-12*a*c+5*b^2)*(-5*a*c+b^2)/a^3/(-4*a*c+b^2)^2/x+1/4*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x/(c*x^4+b*x^2+a)^2+1/8*(5*b^4-35*a*b^2*c+36*a^2*c^2+b*c*(-32*a*c+5*b^2)*x^2)/a^2/(-4*a*c+b^2)^2/x/(c*x^4+b*x^2+a)-3/8*sqrt(c)*((-12*a*c+5*b^2)*(-5*a*c+b^2)+b*(124*a^2*c^2-47*a*b^2*c+5*b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/(-4*a*c+b^2)^2/sqrt(b-sqrt(-4*a*c+b^2))-3/8*sqrt(c)*((-12*a*c+5*b^2)*(-5*a*c+b^2)-(124*a^2*b*c^2-47*a*b^3*c+5*b^5)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^5/(c*x^4-b*x^2+a),x,7,1/2*x^2/c+1/2*(-2*a*c+b^2)*arctanh((-2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)+1/4*b*ln(c*x^4-b*x^2+a)/c^2,1],
[x^3/(c*x^4-b*x^2+a),x,5,1/2*b*arctanh((-2*c*x^2+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/4*ln(c*x^4-b*x^2+a)/c,1],
[x/(c*x^4-b*x^2+a),x,3,arctanh((-2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[1/x/(c*x^4-b*x^2+a),x,6,1/2*b*arctanh((-2*c*x^2+b)/sqrt(-4*a*c+b^2))/a/sqrt(-4*a*c+b^2)+ln(x)/a-1/4*ln(c*x^4-b*x^2+a)/a,1],
[1/x^3/(c*x^4-b*x^2+a),x,8,-1/2/a/x^2+1/2*(-2*a*c+b^2)*arctanh((-2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/sqrt(-4*a*c+b^2)+b*ln(x)/a^2-1/4*b*ln(c*x^4-b*x^2+a)/a^2,1],
[x^4/(c*x^4-b*x^2+a),x,5,x/c-(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^2/(c*x^4-b*x^2+a),x,3,sqrt(b-sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2)-sqrt(b+sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2),1],
[1/(c*x^4-b*x^2+a),x,3,sqrt(2)*sqrt(c)*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(2)*sqrt(c)*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^2/(c*x^4-b*x^2+a),x,5,-1/a/x+sqrt(c)*(1+b/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b-sqrt(-4*a*c+b^2))+sqrt(c)*(1-b/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^5/(a*x^4+2*a*x^2+a-b),x,7,1/2*x^2/a-1/2*(a+b)*arctanh(sqrt(a)*(x^2+1)/sqrt(b))/a^(3/2)/sqrt(b)-1/2*ln(a*x^4+2*a*x^2+a-b)/a,1],
[x^3/(a*x^4+2*a*x^2+a-b),x,5,1/2*arctanh(sqrt(a)*(x^2+1)/sqrt(b))/sqrt(a)/sqrt(b)+1/4*ln(a*x^4+2*a*x^2+a-b)/a,1],
[x/(a*x^4+2*a*x^2+a-b),x,3,-1/2*arctanh(sqrt(a)*(x^2+1)/sqrt(b))/sqrt(a)/sqrt(b),1],
[1/x/(a*x^4+2*a*x^2+a-b),x,6,1/2*sqrt(a)*arctanh(sqrt(a)*(x^2+1)/sqrt(b))/(a-b)/sqrt(b)+ln(x)/(a-b)-ln(a*x^4+2*a*x^2+a-b)/(4*a-4*b),1],
[1/x^3/(a*x^4+2*a*x^2+a-b),x,8,-1/2/(a-b)/x^2-1/2*sqrt(a)*(a+b)*arctanh(sqrt(a)*(x^2+1)/sqrt(b))/(a-b)^2/sqrt(b)-2*a*ln(x)/(a-b)^2+1/2*a*ln(a*x^4+2*a*x^2+a-b)/(a-b)^2,1],
[x^4/(a*x^4+2*a*x^2+a-b),x,5,x/a+1/2*(sqrt(a)-sqrt(b))^(3/2)*arctan(a^(1/4)*x/sqrt(sqrt(a)-sqrt(b)))/a^(5/4)/sqrt(b)-1/2*(sqrt(a)+sqrt(b))^(3/2)*arctan(a^(1/4)*x/sqrt(sqrt(a)+sqrt(b)))/a^(5/4)/sqrt(b),1],
[x^2/(a*x^4+2*a*x^2+a-b),x,3,-1/2*sqrt(sqrt(a)-sqrt(b))*arctan(a^(1/4)*x/sqrt(sqrt(a)-sqrt(b)))/a^(3/4)/sqrt(b)+1/2*sqrt(sqrt(a)+sqrt(b))*arctan(a^(1/4)*x/sqrt(sqrt(a)+sqrt(b)))/a^(3/4)/sqrt(b),1],
[1/(a*x^4+2*a*x^2+a-b),x,3,1/2*arctan(a^(1/4)*x/sqrt(sqrt(a)-sqrt(b)))/a^(1/4)/sqrt(sqrt(a)-sqrt(b))/sqrt(b)-1/2*arctan(a^(1/4)*x/sqrt(sqrt(a)+sqrt(b)))/a^(1/4)/sqrt(sqrt(a)+sqrt(b))/sqrt(b),1],
[1/x^2/(a*x^4+2*a*x^2+a-b),x,5,-1/(a-b)/x-1/2*a^(1/4)*arctan(a^(1/4)*x/sqrt(sqrt(a)-sqrt(b)))/(sqrt(a)-sqrt(b))^(3/2)/sqrt(b)+1/2*a^(1/4)*arctan(a^(1/4)*x/sqrt(sqrt(a)+sqrt(b)))/(sqrt(a)+sqrt(b))^(3/2)/sqrt(b),1],
[x^5/(a*x^4+2*a*x^2+a+b),x,7,1/2*x^2/a+1/2*(a-b)*arctan(sqrt(a)*(x^2+1)/sqrt(b))/a^(3/2)/sqrt(b)-1/2*ln(a*x^4+2*a*x^2+a+b)/a,1],
[x^3/(a*x^4+2*a*x^2+a+b),x,5,-1/2*arctan(sqrt(a)*(x^2+1)/sqrt(b))/sqrt(a)/sqrt(b)+1/4*ln(a*x^4+2*a*x^2+a+b)/a,1],
[x/(a*x^4+2*a*x^2+a+b),x,3,1/2*arctan(sqrt(a)*(x^2+1)/sqrt(b))/sqrt(a)/sqrt(b),1],
[1/x/(a*x^4+2*a*x^2+a+b),x,6,-1/2*sqrt(a)*arctan(sqrt(a)*(x^2+1)/sqrt(b))/sqrt(b)/(a+b)+ln(x)/(a+b)-ln(a*x^4+2*a*x^2+a+b)/(4*a+4*b),1],
[1/x^3/(a*x^4+2*a*x^2+a+b),x,8,-1/2/(a+b)/x^2+1/2*sqrt(a)*(a-b)*arctan(sqrt(a)*(x^2+1)/sqrt(b))/sqrt(b)/(a+b)^2-2*a*ln(x)/(a+b)^2+1/2*a*ln(a*x^4+2*a*x^2+a+b)/(a+b)^2,1],
[x^4/(a*x^4+2*a*x^2+a+b),x,10,x/a+1/2*(a+b+2*sqrt(a)*sqrt(a+b))*arctan((sqrt(-sqrt(a)+sqrt(a+b))-sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/a^(5/4)/sqrt(a+b)/sqrt(sqrt(a)+sqrt(a+b))-1/2*(a+b+2*sqrt(a)*sqrt(a+b))*arctan((sqrt(-sqrt(a)+sqrt(a+b))+sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/a^(5/4)/sqrt(a+b)/sqrt(sqrt(a)+sqrt(a+b))+1/2*(2*sqrt(a)-sqrt(a+b))*arctanh(sqrt(2)*a^(1/4)*sqrt(-sqrt(a)+sqrt(a+b))*x/(sqrt(a+b)+sqrt(a)*x^2))/sqrt(2)/a^(5/4)/sqrt(-sqrt(a)+sqrt(a+b)),1],
[x^2/(a*x^4+2*a*x^2+a+b),x,8,-1/2*arctan((sqrt(-sqrt(a)+sqrt(a+b))-sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/a^(3/4)/sqrt(sqrt(a)+sqrt(a+b))+1/2*arctan((sqrt(-sqrt(a)+sqrt(a+b))+sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/a^(3/4)/sqrt(sqrt(a)+sqrt(a+b))-1/2*arctanh(sqrt(2)*a^(1/4)*sqrt(-sqrt(a)+sqrt(a+b))*x/(sqrt(a+b)+sqrt(a)*x^2))/sqrt(2)/a^(3/4)/sqrt(-sqrt(a)+sqrt(a+b)),1],
[1/(a*x^4+2*a*x^2+a+b),x,8,-1/2*arctan((sqrt(-sqrt(a)+sqrt(a+b))-sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/a^(1/4)/sqrt(a+b)/sqrt(sqrt(a)+sqrt(a+b))+1/2*arctan((sqrt(-sqrt(a)+sqrt(a+b))+sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/a^(1/4)/sqrt(a+b)/sqrt(sqrt(a)+sqrt(a+b))+1/2*arctanh(sqrt(2)*a^(1/4)*sqrt(-sqrt(a)+sqrt(a+b))*x/(sqrt(a+b)+sqrt(a)*x^2))/sqrt(2)/a^(1/4)/sqrt(a+b)/sqrt(-sqrt(a)+sqrt(a+b)),1],
[1/x^2/(a*x^4+2*a*x^2+a+b),x,10,-1/(a+b)/x+1/2*a^(1/4)*(2*sqrt(a)+sqrt(a+b))*arctan((sqrt(-sqrt(a)+sqrt(a+b))-sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/(a+b)^(3/2)/sqrt(sqrt(a)+sqrt(a+b))-1/2*a^(1/4)*(2*sqrt(a)+sqrt(a+b))*arctan((sqrt(-sqrt(a)+sqrt(a+b))+sqrt(2)*a^(1/4)*x)/sqrt(sqrt(a)+sqrt(a+b)))/sqrt(2)/(a+b)^(3/2)/sqrt(sqrt(a)+sqrt(a+b))-1/2*a^(1/4)*(2*sqrt(a)-sqrt(a+b))*arctanh(sqrt(2)*a^(1/4)*sqrt(-sqrt(a)+sqrt(a+b))*x/(sqrt(a+b)+sqrt(a)*x^2))/sqrt(2)/(a+b)^(3/2)/sqrt(-sqrt(a)+sqrt(a+b)),1],
[x^9/(x^4+x^2+1),x,7,-1/4*x^4+1/6*x^6-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/4*ln(x^4+x^2+1),1],
[x^7/(x^4+x^2+1),x,5,-1/2*x^2+1/4*x^4+arctan((2*x^2+1)/sqrt(3))/sqrt(3),1],
[x^5/(x^4+x^2+1),x,7,1/2*x^2-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/4*ln(x^4+x^2+1),1],
[x^3/(x^4+x^2+1),x,5,-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/4*ln(x^4+x^2+1),1],
[x/(x^4+x^2+1),x,3,arctan((2*x^2+1)/sqrt(3))/sqrt(3),1],
[1/x/(x^4+x^2+1),x,6,-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+ln(x)-1/4*ln(x^4+x^2+1),1],
[1/x^3/(x^4+x^2+1),x,8,-1/2/x^2-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-ln(x)+1/4*ln(x^4+x^2+1),1],
[1/x^5/(x^4+x^2+1),x,6,-1/4/x^4+1/2/x^2+arctan((2*x^2+1)/sqrt(3))/sqrt(3),1],
[x^22/(x^4+x^2+1),x,7,x-1/5*x^5+1/7*x^7-1/11*x^11+1/13*x^13-1/17*x^17+1/19*x^19+arctan((1-2*x)/sqrt(3))/sqrt(3)-arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[x^16/(x^4+x^2+1),x,7,x-1/5*x^5+1/7*x^7-1/11*x^11+1/13*x^13+arctan((1-2*x)/sqrt(3))/sqrt(3)-arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[x^10/(x^4+x^2+1),x,7,x-1/5*x^5+1/7*x^7+arctan((1-2*x)/sqrt(3))/sqrt(3)-arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[x^4/(x^4+x^2+1),x,7,x+arctan((1-2*x)/sqrt(3))/sqrt(3)-arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[1/x^2/(x^4+x^2+1),x,7,-1/x+arctan((1-2*x)/sqrt(3))/sqrt(3)-arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[1/x^8/(x^4+x^2+1),x,7,-1/7/x^7+1/5/x^5-1/x+arctan((1-2*x)/sqrt(3))/sqrt(3)-arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[1/x^14/(x^4+x^2+1),x,7,-1/13/x^13+1/11/x^11-1/7/x^7+1/5/x^5-1/x+arctan((1-2*x)/sqrt(3))/sqrt(3)-arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[x^14/(x^4+x^2+1),x,10,-1/3*x^3+1/5*x^5-1/9*x^9+1/11*x^11-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*arctanh(x/(x^2+1)),1],
[x^12/(x^4+x^2+1),x,10,-x+1/3*x^3-1/7*x^7+1/9*x^9-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/2*arctanh(x/(x^2+1)),1],
[x^8/(x^4+x^2+1),x,10,-1/3*x^3+1/5*x^5-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*arctanh(x/(x^2+1)),1],
[x^6/(x^4+x^2+1),x,10,-x+1/3*x^3-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/2*arctanh(x/(x^2+1)),1],
[x^2/(x^4+x^2+1),x,8,-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*arctanh(x/(x^2+1)),1],
[1/(x^4+x^2+1),x,8,-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/2*arctanh(x/(x^2+1)),1],
[1/x^4/(x^4+x^2+1),x,10,-1/3/x^3+1/x-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*arctanh(x/(x^2+1)),1],
[1/x^6/(x^4+x^2+1),x,10,-1/5/x^5+1/3/x^3-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/2*arctanh(x/(x^2+1)),1],
[1/x^10/(x^4+x^2+1),x,10,-1/9/x^9+1/7/x^7-1/3/x^3+1/x-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*arctanh(x/(x^2+1)),1],
[x^5/(x^4-x^2+1),x,7,1/2*x^2+1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+1/4*ln(x^4-x^2+1),1],
[x^3/(x^4-x^2+1),x,5,-1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+1/4*ln(x^4-x^2+1),1],
[x/(x^4-x^2+1),x,3,-arctan((-2*x^2+1)/sqrt(3))/sqrt(3),1],
[1/x/(x^4-x^2+1),x,6,-1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+ln(x)-1/4*ln(x^4-x^2+1),1],
[1/x^3/(x^4-x^2+1),x,8,-1/2/x^2+1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+ln(x)-1/4*ln(x^4-x^2+1),1],
[1/x^5/(x^4-x^2+1),x,6,-1/4/x^4-1/2/x^2+arctan((-2*x^2+1)/sqrt(3))/sqrt(3),1],
[x^22/(x^4-x^2+1),x,4,-x+1/5*x^5+1/7*x^7-1/11*x^11-1/13*x^13+1/17*x^17+1/19*x^19+arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^16/(x^4-x^2+1),x,4,x-1/5*x^5-1/7*x^7+1/11*x^11+1/13*x^13-arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^10/(x^4-x^2+1),x,4,-x+1/5*x^5+1/7*x^7+arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^4/(x^4-x^2+1),x,4,x-arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^2/(x^4-x^2+1),x,4,-1/x+arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^8/(x^4-x^2+1),x,4,-1/7/x^7-1/5/x^5+1/x-arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^14/(x^4-x^2+1),x,4,-1/13/x^13-1/11/x^11+1/7/x^7+1/5/x^5-1/x+arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^12/(x^4-x^2+1),x,10,-x-1/3*x^3+1/7*x^7+1/9*x^9-1/2*arctan(sqrt(3)-2*x)+1/2*arctan(sqrt(3)+2*x)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^8/(x^4-x^2+1),x,10,1/3*x^3+1/5*x^5+1/2*arctan(sqrt(3)-2*x)-1/2*arctan(sqrt(3)+2*x)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^6/(x^4-x^2+1),x,10,x+1/3*x^3+1/2*arctan(sqrt(3)-2*x)-1/2*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^2/(x^4-x^2+1),x,8,-1/2*arctan(sqrt(3)-2*x)+1/2*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/(x^4-x^2+1),x,8,-1/2*arctan(sqrt(3)-2*x)+1/2*arctan(sqrt(3)+2*x)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^4/(x^4-x^2+1),x,10,-1/3/x^3-1/x+1/2*arctan(sqrt(3)-2*x)-1/2*arctan(sqrt(3)+2*x)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^6/(x^4-x^2+1),x,10,-1/5/x^5-1/3/x^3+1/2*arctan(sqrt(3)-2*x)-1/2*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^10/(x^4-x^2+1),x,10,-1/9/x^9-1/7/x^7+1/3/x^3+1/x-1/2*arctan(sqrt(3)-2*x)+1/2*arctan(sqrt(3)+2*x)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x/(x^4+2*x^2+10),x,3,1/6*arctan(1/3*x^2+1/3),1],
[x^2/(x^4+9*x^2+20),x,3,-2*arctan(1/2*x)+sqrt(5)*arctan(x/sqrt(5)),1],
[x^4/(x^4+5*x^2+4),x,5,x-8/3*arctan(1/2*x)+1/3*arctan(x),1],
[x^2/(x^4-2*x^2+2),x,8,-1/2*sqrt(1/2+1/2*sqrt(2))*arctan((sqrt(2+2*sqrt(2))-2*x)/sqrt(-2+2*sqrt(2)))+1/2*sqrt(1/2+1/2*sqrt(2))*arctan((sqrt(2+2*sqrt(2))+2*x)/sqrt(-2+2*sqrt(2)))-1/2*arctanh(sqrt(2+2*sqrt(2))*x/(sqrt(2)+x^2))/sqrt(2+2*sqrt(2)),1],
[x^2/(1+(x^2-1)^2),x,9,-1/2*sqrt(1/2+1/2*sqrt(2))*arctan((sqrt(2+2*sqrt(2))-2*x)/sqrt(-2+2*sqrt(2)))+1/2*sqrt(1/2+1/2*sqrt(2))*arctan((sqrt(2+2*sqrt(2))+2*x)/sqrt(-2+2*sqrt(2)))-1/2*arctanh(sqrt(2+2*sqrt(2))*x/(sqrt(2)+x^2))/sqrt(2+2*sqrt(2)),1],
[2*x^2/(-x^4+2*x^2+1),x,4,-arctan(sqrt(1+sqrt(2))*x)/sqrt(2+2*sqrt(2))+arctanh(sqrt(-1+sqrt(2))*x)/sqrt(-2+2*sqrt(2)),1],
[1/(1+1/2*(-x^4+1)/x^2),x,5,-arctan(sqrt(1+sqrt(2))*x)/sqrt(2+2*sqrt(2))+arctanh(sqrt(-1+sqrt(2))*x)/sqrt(-2+2*sqrt(2)),1],
[x^2/(a+(b+d)*x^2+c*x^4),x,3,-sqrt(b+d-sqrt(-4*a*c+b^2+2*b*d+d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+d-sqrt(-4*a*c+b^2+2*b*d+d^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2+2*b*d+d^2)+sqrt(b+d+sqrt(-4*a*c+b^2+2*b*d+d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+d+sqrt(-4*a*c+b^2+2*b*d+d^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2+2*b*d+d^2),1],
[1/(d+(c*x^4+b*x^2+a)/x^2),x,4,-sqrt(b+d-sqrt(-4*a*c+b^2+2*b*d+d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+d-sqrt(-4*a*c+b^2+2*b*d+d^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2+2*b*d+d^2)+sqrt(b+d+sqrt(-4*a*c+b^2+2*b*d+d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+d+sqrt(-4*a*c+b^2+2*b*d+d^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2+2*b*d+d^2),1],
[x^2/(a+(b+d)*x^2+(c+e)*x^4),x,3,-sqrt(b+d-sqrt(b^2+2*b*d+d^2-4*a*(c+e)))*arctan(sqrt(2)*sqrt(c+e)*x/sqrt(b+d-sqrt(b^2+2*b*d+d^2-4*a*(c+e))))/sqrt(2)/sqrt(c+e)/sqrt(b^2+2*b*d+d^2-4*a*(c+e))+sqrt(b+d+sqrt(b^2+2*b*d+d^2-4*a*(c+e)))*arctan(sqrt(2)*sqrt(c+e)*x/sqrt(b+d+sqrt(b^2+2*b*d+d^2-4*a*(c+e))))/sqrt(2)/sqrt(c+e)/sqrt(b^2+2*b*d+d^2-4*a*(c+e)),1],
[1/(d+e*x^2+(c*x^4+b*x^2+a)/x^2),x,4,-sqrt(b+d-sqrt(b^2+2*b*d+d^2-4*a*(c+e)))*arctan(sqrt(2)*sqrt(c+e)*x/sqrt(b+d-sqrt(b^2+2*b*d+d^2-4*a*(c+e))))/sqrt(2)/sqrt(c+e)/sqrt(b^2+2*b*d+d^2-4*a*(c+e))+sqrt(b+d+sqrt(b^2+2*b*d+d^2-4*a*(c+e)))*arctan(sqrt(2)*sqrt(c+e)*x/sqrt(b+d+sqrt(b^2+2*b*d+d^2-4*a*(c+e))))/sqrt(2)/sqrt(c+e)/sqrt(b^2+2*b*d+d^2-4*a*(c+e)),1],
[x^(5/2)*(c*x^4+b*x^2+a),x,2,2/7*a*x^(7/2)+2/11*b*x^(11/2)+2/15*c*x^(15/2),1],
[x^(3/2)*(c*x^4+b*x^2+a),x,2,2/5*a*x^(5/2)+2/9*b*x^(9/2)+2/13*c*x^(13/2),1],
[sqrt(x)*(c*x^4+b*x^2+a),x,2,2/3*a*x^(3/2)+2/7*b*x^(7/2)+2/11*c*x^(11/2),1],
[(c*x^4+b*x^2+a)/sqrt(x),x,2,2*a*sqrt(x)+2/5*b*x^(5/2)+2/9*c*x^(9/2),1],
[(c*x^4+b*x^2+a)/x^(3/2),x,2,-2*a/sqrt(x)+2/3*b*x^(3/2)+2/7*c*x^(7/2),1],
[(c*x^4+b*x^2+a)/x^(5/2),x,2,-2/3*a/x^(3/2)+2*b*sqrt(x)+2/5*c*x^(5/2),1],
[(c*x^4+b*x^2+a)/x^(7/2),x,2,-2/5*a/x^(5/2)-2*b/sqrt(x)+2/3*c*x^(3/2),1],
[x^(5/2)*(c*x^4+b*x^2+a)^2,x,2,2/7*a^2*x^(7/2)+4/11*a*b*x^(11/2)+2/15*(2*a*c+b^2)*x^(15/2)+4/19*b*c*x^(19/2)+2/23*c^2*x^(23/2),1],
[x^(3/2)*(c*x^4+b*x^2+a)^2,x,2,2/5*a^2*x^(5/2)+4/9*a*b*x^(9/2)+2/13*(2*a*c+b^2)*x^(13/2)+4/17*b*c*x^(17/2)+2/21*c^2*x^(21/2),1],
[sqrt(x)*(c*x^4+b*x^2+a)^2,x,2,2/3*a^2*x^(3/2)+4/7*a*b*x^(7/2)+2/11*(2*a*c+b^2)*x^(11/2)+4/15*b*c*x^(15/2)+2/19*c^2*x^(19/2),1],
[(c*x^4+b*x^2+a)^2/sqrt(x),x,2,2*a^2*sqrt(x)+4/5*a*b*x^(5/2)+2/9*(2*a*c+b^2)*x^(9/2)+4/13*b*c*x^(13/2)+2/17*c^2*x^(17/2),1],
[(c*x^4+b*x^2+a)^2/x^(3/2),x,2,-2*a^2/sqrt(x)+4/3*a*b*x^(3/2)+2/7*(2*a*c+b^2)*x^(7/2)+4/11*b*c*x^(11/2)+2/15*c^2*x^(15/2),1],
[(c*x^4+b*x^2+a)^2/x^(5/2),x,2,-2/3*a^2/x^(3/2)+4*a*b*sqrt(x)+2/5*(2*a*c+b^2)*x^(5/2)+4/9*b*c*x^(9/2)+2/13*c^2*x^(13/2),1],
[(c*x^4+b*x^2+a)^2/x^(7/2),x,2,-2/5*a^2/x^(5/2)-4*a*b/sqrt(x)+2/3*(2*a*c+b^2)*x^(3/2)+4/7*b*c*x^(7/2)+2/11*c^2*x^(11/2),1],
[x^(5/2)*(c*x^4+b*x^2+a)^3,x,2,2/7*a^3*x^(7/2)+6/11*a^2*b*x^(11/2)+2/5*a*(a*c+b^2)*x^(15/2)+2/19*b*(6*a*c+b^2)*x^(19/2)+6/23*c*(a*c+b^2)*x^(23/2)+2/9*b*c^2*x^(27/2)+2/31*c^3*x^(31/2),1],
[x^(3/2)*(c*x^4+b*x^2+a)^3,x,2,2/5*a^3*x^(5/2)+2/3*a^2*b*x^(9/2)+6/13*a*(a*c+b^2)*x^(13/2)+2/17*b*(6*a*c+b^2)*x^(17/2)+2/7*c*(a*c+b^2)*x^(21/2)+6/25*b*c^2*x^(25/2)+2/29*c^3*x^(29/2),1],
[sqrt(x)*(c*x^4+b*x^2+a)^3,x,2,2/3*a^3*x^(3/2)+6/7*a^2*b*x^(7/2)+6/11*a*(a*c+b^2)*x^(11/2)+2/15*b*(6*a*c+b^2)*x^(15/2)+6/19*c*(a*c+b^2)*x^(19/2)+6/23*b*c^2*x^(23/2)+2/27*c^3*x^(27/2),1],
[(c*x^4+b*x^2+a)^3/sqrt(x),x,2,2*a^3*sqrt(x)+6/5*a^2*b*x^(5/2)+2/3*a*(a*c+b^2)*x^(9/2)+2/13*b*(6*a*c+b^2)*x^(13/2)+6/17*c*(a*c+b^2)*x^(17/2)+2/7*b*c^2*x^(21/2)+2/25*c^3*x^(25/2),1],
[(c*x^4+b*x^2+a)^3/x^(3/2),x,2,-2*a^3/sqrt(x)+2*a^2*b*x^(3/2)+6/7*a*(a*c+b^2)*x^(7/2)+2/11*b*(6*a*c+b^2)*x^(11/2)+2/5*c*(a*c+b^2)*x^(15/2)+6/19*b*c^2*x^(19/2)+2/23*c^3*x^(23/2),1],
[(c*x^4+b*x^2+a)^3/x^(5/2),x,2,-2/3*a^3/x^(3/2)+6*a^2*b*sqrt(x)+6/5*a*(a*c+b^2)*x^(5/2)+2/9*b*(6*a*c+b^2)*x^(9/2)+6/13*c*(a*c+b^2)*x^(13/2)+6/17*b*c^2*x^(17/2)+2/21*c^3*x^(21/2),1],
[(c*x^4+b*x^2+a)^3/x^(7/2),x,2,-2/5*a^3/x^(5/2)-6*a^2*b/sqrt(x)+2*a*(a*c+b^2)*x^(3/2)+2/7*b*(6*a*c+b^2)*x^(7/2)+6/11*c*(a*c+b^2)*x^(11/2)+2/5*b*c^2*x^(15/2)+2/19*c^3*x^(19/2),1],
[x^(9/2)/(c*x^4+b*x^2+a),x,10,2/3*x^(3/2)/c-1/2*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/2*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b+sqrt(-4*a*c+b^2))^(1/4)+1/2*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/2*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(7/2)/(c*x^4+b*x^2+a),x,10,2*sqrt(x)/c+1/2*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/2*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/2*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/2*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^(5/2)/(c*x^4+b*x^2+a),x,8,-1/2*(-b-sqrt(-4*a*c+b^2))^(3/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2)+1/2*(-b+sqrt(-4*a*c+b^2))^(3/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2)+1/2*(-b-sqrt(-4*a*c+b^2))^(3/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2)-1/2*(-b+sqrt(-4*a*c+b^2))^(3/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2),1],
[x^(3/2)/(c*x^4+b*x^2+a),x,8,1/2*(-b-sqrt(-4*a*c+b^2))^(1/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2)-1/2*(-b+sqrt(-4*a*c+b^2))^(1/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2)+1/2*(-b-sqrt(-4*a*c+b^2))^(1/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2)-1/2*(-b+sqrt(-4*a*c+b^2))^(1/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2),1],
[sqrt(x)/(c*x^4+b*x^2+a),x,8,-2^(1/4)*c^(1/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+2^(1/4)*c^(1/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4)+2^(1/4)*c^(1/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-2^(1/4)*c^(1/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[1/sqrt(x)/(c*x^4+b*x^2+a),x,8,2^(3/4)*c^(3/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-2^(3/4)*c^(3/4)*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4)+2^(3/4)*c^(3/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-2^(3/4)*c^(3/4)*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[1/x^(3/2)/(c*x^4+b*x^2+a),x,10,-2/a/sqrt(x)-1/2*c^(1/4)*(1-b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/2*c^(1/4)*(1+b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b+sqrt(-4*a*c+b^2))^(1/4)+1/2*c^(1/4)*(1-b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/2*c^(1/4)*(1+b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[1/x^(5/2)/(c*x^4+b*x^2+a),x,10,-2/3/a/x^(3/2)+1/2*c^(3/4)*(1-b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/2*c^(3/4)*(1+b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/2*c^(3/4)*(1-b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/2*c^(3/4)*(1+b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[1/x^(7/2)/(c*x^4+b*x^2+a),x,10,-2/5/a/x^(5/2)+2*b/a^2/sqrt(x)+1/2*c^(1/4)*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/2*c^(1/4)*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-b+sqrt(-4*a*c+b^2))^(1/4)-1/2*c^(1/4)*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/2*c^(1/4)*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(13/2)/(c*x^4+b*x^2+a)^2,x,11,-1/2*b*x^(3/2)/c/(-4*a*c+b^2)+1/2*x^(7/2)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/8*(3*b^2-14*a*c+(-20*a*b*c+3*b^3)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/8*(3*b^2-14*a*c-(-20*a*b*c+3*b^3)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4)-1/8*(3*b^2-14*a*c+(-20*a*b*c+3*b^3)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/8*(3*b^2-14*a*c-(-20*a*b*c+3*b^3)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(11/2)/(c*x^4+b*x^2+a)^2,x,9,-1/2*sqrt(x)*(a*b+(-2*a*c+b^2)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/8*(10*a-b^2/c-b*(-12*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/8*(10*a-b^2/c+b*(-12*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/8*(10*a-b^2/c-b*(-12*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/8*(10*a-b^2/c+b*(-12*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^(9/2)/(c*x^4+b*x^2+a)^2,x,9,1/2*x^(3/2)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/8*(b^2+12*a*c+b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/8*(b-(12*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4)-1/8*(b^2+12*a*c+b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/8*(b-(12*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(7/2)/(c*x^4+b*x^2+a)^2,x,9,1/2*sqrt(x)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/8*(3*b^2+4*a*c+3*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/8*(3*b^2+4*a*c-3*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(3/4)-1/8*(3*b^2+4*a*c+3*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/8*(3*b^2+4*a*c-3*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^(5/2)/(c*x^4+b*x^2+a)^2,x,9,-1/2*x^(3/2)*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/4*c^(1/4)*(4*b+sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/4*c^(1/4)*(4*b-sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(1/4)+1/4*c^(1/4)*(4*b+sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/4*c^(1/4)*(4*b-sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(3/2)/(c*x^4+b*x^2+a)^2,x,9,-1/2*sqrt(x)*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/4*c^(3/4)*(3+4*b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/4*c^(3/4)*(3-4*b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/4*c^(3/4)*(3+4*b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/4*c^(3/4)*(3-4*b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[sqrt(x)/(c*x^4+b*x^2+a)^2,x,9,1/2*x^(3/2)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/8*c^(1/4)*(b-(-20*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/8*c^(1/4)*(b+(-20*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4)-1/8*c^(1/4)*(b-(-20*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/8*c^(1/4)*(b+(-20*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[1/sqrt(x)/(c*x^4+b*x^2+a)^2,x,9,1/2*sqrt(x)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/8*c^(3/4)*(3*b^2-28*a*c-3*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-1/8*c^(3/4)*(3*b^2-28*a*c+3*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/8*c^(3/4)*(3*b^2-28*a*c-3*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-1/8*c^(3/4)*(3*b^2-28*a*c+3*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[1/x^(3/2)/(c*x^4+b*x^2+a)^2,x,10,-1/2*(-18*a*c+5*b^2)/a^2/(-4*a*c+b^2)/sqrt(x)+1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(x)/(c*x^4+b*x^2+a)+1/8*c^(1/4)*(5*b^3-28*a*b*c-(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/8*c^(1/4)*(5*b^3-28*a*b*c+(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(1/4)-1/8*c^(1/4)*(5*b^3-28*a*b*c-(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/8*c^(1/4)*(5*b^3-28*a*b*c+(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(15/2)/(c*x^4+b*x^2+a)^3,x,10,1/4*x^(9/2)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-3/16*sqrt(x)*(a*(12*a*c+b^2)+b*(4*a*c+b^2)*x^2)/c/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3/64*(28*a*b-b^3/c-(-24*a^2*c^2-30*a*b^2*c+b^4)/c/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^2/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*(b^3-28*a*b*c-(-24*a^2*c^2-30*a*b^2*c+b^4)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-4*a*c+b^2)^2/(-b+sqrt(-4*a*c+b^2))^(3/4)+3/64*(28*a*b-b^3/c-(-24*a^2*c^2-30*a*b^2*c+b^4)/c/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^2/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*(b^3-28*a*b*c-(-24*a^2*c^2-30*a*b^2*c+b^4)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-4*a*c+b^2)^2/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^(13/2)/(c*x^4+b*x^2+a)^3,x,10,1/4*x^(7/2)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/16*x^(3/2)*(24*a*b+(28*a*c+5*b^2)*x^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/64*(5*b^3+172*a*b*c+sqrt(-4*a*c+b^2)*(28*a*c+5*b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/64*(5*b^2+28*a*c-(172*a*b*c+5*b^3)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)^2/(-b+sqrt(-4*a*c+b^2))^(1/4)-1/64*(5*b^3+172*a*b*c+sqrt(-4*a*c+b^2)*(28*a*c+5*b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/64*(5*b^2+28*a*c-(172*a*b*c+5*b^3)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/(-4*a*c+b^2)^2/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(11/2)/(c*x^4+b*x^2+a)^3,x,10,1/4*x^(5/2)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/16*sqrt(x)*(24*a*b+(20*a*c+7*b^2)*x^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)-3/64*(7*b^3+36*a*b*c+sqrt(-4*a*c+b^2)*(20*a*c+7*b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*(7*b^2+20*a*c-b*(36*a*c+7*b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^2/(-b+sqrt(-4*a*c+b^2))^(3/4)-3/64*(7*b^3+36*a*b*c+sqrt(-4*a*c+b^2)*(20*a*c+7*b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*(7*b^2+20*a*c-b*(36*a*c+7*b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/(-4*a*c+b^2)^2/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^(9/2)/(c*x^4+b*x^2+a)^3,x,10,1/4*x^(3/2)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-3/16*x^(3/2)*(8*b*c*x^2-4*a*c+5*b^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)-3/32*c^(1/4)*(11*b^2+20*a*c+4*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+3/32*c^(1/4)*(11*b^2+20*a*c-4*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(1/4)+3/32*c^(1/4)*(11*b^2+20*a*c+4*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-3/32*c^(1/4)*(11*b^2+20*a*c-4*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(7/2)/(c*x^4+b*x^2+a)^3,x,10,1/4*sqrt(x)*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-1/16*sqrt(x)*(24*b*c*x^2-4*a*c+13*b^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/32*c^(3/4)*(41*b^2+28*a*c+36*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-1/32*c^(3/4)*(41*b^2+28*a*c-36*b*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/32*c^(3/4)*(41*b^2+28*a*c+36*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-1/32*c^(3/4)*(41*b^2+28*a*c-36*b*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^(5/2)/(c*x^4+b*x^2+a)^3,x,10,-1/4*x^(3/2)*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+3/16*x^(3/2)*(b*(4*a*c+b^2)+c*(12*a*c+b^2)*x^2)/a/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3/64*c^(1/4)*(b^2+12*a*c-b^3/sqrt(-4*a*c+b^2)+68*a*b*c/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)^2/(-b-sqrt(-4*a*c+b^2))^(1/4)+3/64*c^(1/4)*(b^3-68*a*b*c+sqrt(-4*a*c+b^2)*(12*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(1/4)-3/64*c^(1/4)*(b^2+12*a*c-b^3/sqrt(-4*a*c+b^2)+68*a*b*c/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)^2/(-b-sqrt(-4*a*c+b^2))^(1/4)-3/64*c^(1/4)*(b^3-68*a*b*c+sqrt(-4*a*c+b^2)*(12*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^(3/2)/(c*x^4+b*x^2+a)^3,x,10,-1/4*sqrt(x)*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/16*sqrt(x)*(b*(20*a*c+b^2)+c*(44*a*c+b^2)*x^2)/a/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)-3/64*c^(3/4)*(b^2+44*a*c-b^3/sqrt(-4*a*c+b^2)+68*a*b*c/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^2/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*c^(3/4)*(b^3-68*a*b*c+sqrt(-4*a*c+b^2)*(44*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(3/4)-3/64*c^(3/4)*(b^2+44*a*c-b^3/sqrt(-4*a*c+b^2)+68*a*b*c/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^2/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*c^(3/4)*(b^3-68*a*b*c+sqrt(-4*a*c+b^2)*(44*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[sqrt(x)/(c*x^4+b*x^2+a)^3,x,10,1/4*x^(3/2)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/16*x^(3/2)*(5*b^4-45*a*b^2*c+52*a^2*c^2+b*c*(-44*a*c+5*b^2)*x^2)/a^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)-1/64*c^(1/4)*(5*b^4-54*a*b^2*c+520*a^2*c^2-b*(-44*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/64*c^(1/4)*(5*b^4-54*a*b^2*c+520*a^2*c^2+b*(-44*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(1/4)+1/64*c^(1/4)*(5*b^4-54*a*b^2*c+520*a^2*c^2-b*(-44*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/64*c^(1/4)*(5*b^4-54*a*b^2*c+520*a^2*c^2+b*(-44*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[1/sqrt(x)/(c*x^4+b*x^2+a)^3,x,10,1/4*sqrt(x)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/16*sqrt(x)*(7*b^4-55*a*b^2*c+60*a^2*c^2+b*c*(-52*a*c+7*b^2)*x^2)/a^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+3/64*c^(3/4)*(7*b^4-66*a*b^2*c+280*a^2*c^2-b*(-52*a*c+7*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*c^(3/4)*(7*b^4-66*a*b^2*c+280*a^2*c^2+b*(-52*a*c+7*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(3/4)+3/64*c^(3/4)*(7*b^4-66*a*b^2*c+280*a^2*c^2-b*(-52*a*c+7*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-3/64*c^(3/4)*(7*b^4-66*a*b^2*c+280*a^2*c^2+b*(-52*a*c+7*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*sqrt(x)/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a^2/(-4*a*c+b^2)^(5/2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^7*sqrt(c*x^4+b*x^2+a),x,6,-1/256*b*(-12*a*c+7*b^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^4+1/10*x^4*(c*x^4+b*x^2+a)^(3/2)/c+1/480*(-42*b*c*x^2-32*a*c+35*b^2)*(c*x^4+b*x^2+a)^(3/2)/c^3+1/512*b*(-12*a*c+7*b^2)*(-4*a*c+b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(9/2),1],
[x^5*sqrt(c*x^4+b*x^2+a),x,6,1/128*(-4*a*c+5*b^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^3-5/48*b*(c*x^4+b*x^2+a)^(3/2)/c^2+1/8*x^2*(c*x^4+b*x^2+a)^(3/2)/c-1/256*(-4*a*c+b^2)*(-4*a*c+5*b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(7/2),1],
[x^3*sqrt(c*x^4+b*x^2+a),x,5,-1/16*b*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^2+1/6*(c*x^4+b*x^2+a)^(3/2)/c+1/32*b*(-4*a*c+b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2),1],
[x*sqrt(c*x^4+b*x^2+a),x,4,1/8*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c-1/16*(-4*a*c+b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2),1],
[sqrt(c*x^4+b*x^2+a)/x,x,7,1/2*sqrt(c*x^4+b*x^2+a)-1/2*sqrt(a)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))+1/4*b*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c),1],
[sqrt(c*x^4+b*x^2+a)/x^3,x,7,-1/2*sqrt(c*x^4+b*x^2+a)/x^2-1/4*b*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/sqrt(a)+1/2*sqrt(c)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a)),1],
[sqrt(c*x^4+b*x^2+a)/x^5,x,4,-1/8*(b*x^2+2*a)*sqrt(c*x^4+b*x^2+a)/a/x^4+1/16*(-4*a*c+b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(3/2),1],
[sqrt(c*x^4+b*x^2+a)/x^7,x,5,1/16*b*(b*x^2+2*a)*sqrt(c*x^4+b*x^2+a)/a^2/x^4-1/6*(c*x^4+b*x^2+a)^(3/2)/a/x^6-1/32*b*(-4*a*c+b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(5/2),1],
[sqrt(c*x^4+b*x^2+a)/x^9,x,6,-1/128*(-4*a*c+5*b^2)*(b*x^2+2*a)*sqrt(c*x^4+b*x^2+a)/a^3/x^4-1/8*(c*x^4+b*x^2+a)^(3/2)/a/x^8+5/48*b*(c*x^4+b*x^2+a)^(3/2)/a^2/x^6+1/256*(-4*a*c+b^2)*(-4*a*c+5*b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(7/2),1],
[sqrt(c*x^4+b*x^2+a)/x^11,x,7,1/256*b*(-12*a*c+7*b^2)*(b*x^2+2*a)*sqrt(c*x^4+b*x^2+a)/a^4/x^4-1/10*(c*x^4+b*x^2+a)^(3/2)/a/x^10+7/80*b*(c*x^4+b*x^2+a)^(3/2)/a^2/x^8-1/480*(-32*a*c+35*b^2)*(c*x^4+b*x^2+a)^(3/2)/a^3/x^6-1/512*b*(-12*a*c+7*b^2)*(-4*a*c+b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(9/2),1],
[x^4*sqrt(c*x^4+b*x^2+a),x,6,1/105*b*(-29*a*c+8*b^2)*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)-1/105*x*(12*b*c*x^2+5*a*c+4*b^2)*sqrt(c*x^4+b*x^2+a)/c^2+1/7*x*(c*x^4+b*x^2+a)^(3/2)/c-1/105*a^(1/4)*b*(-29*a*c+8*b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(11/4)/sqrt(c*x^4+b*x^2+a)+1/210*a^(1/4)*(b*(-29*a*c+8*b^2)/sqrt(c)+2*sqrt(a)*(-5*a*c+2*b^2))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(9/4)/sqrt(c*x^4+b*x^2+a),1],
[x^2*sqrt(c*x^4+b*x^2+a),x,5,-2/15*(-3*a*c+b^2)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+1/15*x*(3*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c+2/15*a^(1/4)*(-3*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)-1/30*a^(1/4)*(sqrt(a)*b+2*(-3*a*c+b^2)/sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(5/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a),x,5,1/3*x*sqrt(c*x^4+b*x^2+a)+1/3*b*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)-1/3*a^(1/4)*b*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/6*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)/x^2,x,5,-sqrt(c*x^4+b*x^2+a)/x+2*sqrt(c)*x*sqrt(c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)-2*a^(1/4)*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/sqrt(c*x^4+b*x^2+a)+1/2*(b+2*sqrt(a)*sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)/x^4,x,5,-1/3*sqrt(c*x^4+b*x^2+a)/x^3-1/3*b*sqrt(c*x^4+b*x^2+a)/sqrt(a)/x/(sqrt(a)+sqrt(c)*x^2)-1/3*b*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^4+b*x^2+a)+1/6*(b+2*sqrt(a)*sqrt(c))*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)/x^6,x,6,-1/5*sqrt(c*x^4+b*x^2+a)/x^5-1/15*b*sqrt(c*x^4+b*x^2+a)/a/x^3+2/15*(-3*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/a^(3/2)/x/(sqrt(a)+sqrt(c)*x^2)+2/15*c^(1/4)*(-3*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/sqrt(c*x^4+b*x^2+a)-1/30*c^(1/4)*(b*sqrt(c)+2*(-3*a*c+b^2)/sqrt(a))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(5/4)/sqrt(c*x^4+b*x^2+a),1],
[x^7*(c*x^4+b*x^2+a)^(3/2),x,7,3/2048*b*(-4*a*c+b^2)*(-4*a*c+3*b^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^5-1/256*b*(-4*a*c+3*b^2)*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c^4+1/14*x^4*(c*x^4+b*x^2+a)^(5/2)/c+1/560*(-30*b*c*x^2-16*a*c+21*b^2)*(c*x^4+b*x^2+a)^(5/2)/c^3-3/4096*b*(-4*a*c+b^2)^2*(-4*a*c+3*b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(11/2),1],
[x^5*(c*x^4+b*x^2+a)^(3/2),x,7,-1/1024*(-4*a*c+b^2)*(-4*a*c+7*b^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^4+1/384*(-4*a*c+7*b^2)*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c^3-7/120*b*(c*x^4+b*x^2+a)^(5/2)/c^2+1/12*x^2*(c*x^4+b*x^2+a)^(5/2)/c+1/2048*(-4*a*c+b^2)^2*(-4*a*c+7*b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(9/2),1],
[x^3*(c*x^4+b*x^2+a)^(3/2),x,6,3/256*b*(-4*a*c+b^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^3-1/32*b*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c^2+1/10*(c*x^4+b*x^2+a)^(5/2)/c-3/512*b*(-4*a*c+b^2)^2*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(7/2),1],
[x*(c*x^4+b*x^2+a)^(3/2),x,5,-3/128*(-4*a*c+b^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^2+1/16*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c+3/256*(-4*a*c+b^2)^2*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2),1],
[(c*x^4+b*x^2+a)^(3/2)/x,x,8,1/16*(2*b*c*x^2+8*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/c+1/6*(c*x^4+b*x^2+a)^(3/2)-1/2*a^(3/2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))-1/32*b*(-12*a*c+b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2),1],
[(c*x^4+b*x^2+a)^(3/2)/x^3,x,8,3/8*(2*c*x^2+3*b)*sqrt(c*x^4+b*x^2+a)-1/2*(c*x^4+b*x^2+a)^(3/2)/x^2-3/4*sqrt(a)*b*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))+3/16*(4*a*c+b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c),1],
[(c*x^4+b*x^2+a)^(3/2)/x^5,x,8,-3/8*(-2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/x^2-1/4*(c*x^4+b*x^2+a)^(3/2)/x^4-3/16*(4*a*c+b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/sqrt(a)+3/4*b*sqrt(c)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a)),1],
[(c*x^4+b*x^2+a)^(3/2)/x^7,x,8,-1/16*(2*a*b+(8*a*c+b^2)*x^2)*sqrt(c*x^4+b*x^2+a)/a/x^4-1/6*(c*x^4+b*x^2+a)^(3/2)/x^6+1/32*b*(-12*a*c+b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(3/2)+1/2*c^(3/2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a)),1],
[(c*x^4+b*x^2+a)^(3/2)/x^9,x,5,3/128*(-4*a*c+b^2)*(b*x^2+2*a)*sqrt(c*x^4+b*x^2+a)/a^2/x^4-1/16*(b*x^2+2*a)*(c*x^4+b*x^2+a)^(3/2)/a/x^8-3/256*(-4*a*c+b^2)^2*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(5/2),1],
[(c*x^4+b*x^2+a)^(3/2)/x^11,x,6,-3/256*b*(-4*a*c+b^2)*(b*x^2+2*a)*sqrt(c*x^4+b*x^2+a)/a^3/x^4+1/32*b*(b*x^2+2*a)*(c*x^4+b*x^2+a)^(3/2)/a^2/x^8-1/10*(c*x^4+b*x^2+a)^(5/2)/a/x^10+3/512*b*(-4*a*c+b^2)^2*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(7/2),1],
[(c*x^4+b*x^2+a)^(3/2)/x^13,x,7,1/1024*(-4*a*c+b^2)*(-4*a*c+7*b^2)*(b*x^2+2*a)*sqrt(c*x^4+b*x^2+a)/a^4/x^4-1/384*(-4*a*c+7*b^2)*(b*x^2+2*a)*(c*x^4+b*x^2+a)^(3/2)/a^3/x^8-1/12*(c*x^4+b*x^2+a)^(5/2)/a/x^12+7/120*b*(c*x^4+b*x^2+a)^(5/2)/a^2/x^10-1/2048*(-4*a*c+b^2)^2*(-4*a*c+7*b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(9/2),1],
[x^4*(c*x^4+b*x^2+a)^(3/2),x,7,-8/1155*b*(-9*a*c+2*b^2)*(-3*a*c+b^2)*x*sqrt(c*x^4+b*x^2+a)/c^(7/2)/(sqrt(a)+sqrt(c)*x^2)+1/1155*x*(8*b^4-21*a*b^2*c-30*a^2*c^2+3*b*c*(-31*a*c+8*b^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c^3-1/231*x*(14*b*c*x^2+3*a*c+6*b^2)*(c*x^4+b*x^2+a)^(3/2)/c^2+1/11*x*(c*x^4+b*x^2+a)^(5/2)/c+8/1155*a^(1/4)*b*(-9*a*c+2*b^2)*(-3*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(15/4)/sqrt(c*x^4+b*x^2+a)-1/2310*a^(1/4)*(8*b*(-9*a*c+2*b^2)*(-3*a*c+b^2)/sqrt(c)+sqrt(a)*(60*a^2*c^2-51*a*b^2*c+8*b^4))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(13/4)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(c*x^4+b*x^2+a)^(3/2),x,6,1/315*(84*a^2*c^2-57*a*b^2*c+8*b^4)*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)-1/315*x*(b*(-9*a*c+4*b^2)+6*c*(-7*a*c+2*b^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c^2+1/63*x*(7*c*x^2+3*b)*(c*x^4+b*x^2+a)^(3/2)/c-1/315*a^(1/4)*(84*a^2*c^2-57*a*b^2*c+8*b^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(11/4)/sqrt(c*x^4+b*x^2+a)+1/630*a^(1/4)*(4*sqrt(a)*b*(-6*a*c+b^2)+(84*a^2*c^2-57*a*b^2*c+8*b^4)/sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(9/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2),x,6,-2/35*b*(-8*a*c+b^2)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+1/35*x*(3*b*c*x^2+10*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/c+1/7*x*(c*x^4+b*x^2+a)^(3/2)+2/35*a^(1/4)*b*(-8*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)-1/70*a^(1/4)*(sqrt(a)*(-20*a*c+b^2)+2*b*(-8*a*c+b^2)/sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(5/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)/x^2,x,6,1/5*(12*a*c+b^2)*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+1/5*x*(6*c*x^2+7*b)*sqrt(c*x^4+b*x^2+a)-(c*x^4+b*x^2+a)^(3/2)/x-1/5*a^(1/4)*(12*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/10*a^(1/4)*(b^2+8*sqrt(a)*b*sqrt(c)+12*a*c)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)/x^4,x,6,8*b*sqrt(c)*x*sqrt(c*x^4+b*x^2+a)/(3*sqrt(a)+3*sqrt(c)*x^2)-1/3*(-2*c*x^2+3*b)*sqrt(c*x^4+b*x^2+a)/x-1/3*(c*x^4+b*x^2+a)^(3/2)/x^3-8/3*a^(1/4)*b*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/sqrt(c*x^4+b*x^2+a)+1/6*(3*b^2+8*sqrt(a)*b*sqrt(c)+4*a*c)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)/x^6,x,6,-1/5*(12*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/sqrt(a)/x/(sqrt(a)+sqrt(c)*x^2)-1/5*(-6*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/x^3-1/5*(c*x^4+b*x^2+a)^(3/2)/x^5-1/5*c^(1/4)*(12*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^4+b*x^2+a)+1/10*c^(1/4)*(b^2+8*sqrt(a)*b*sqrt(c)+12*a*c)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)/x^8,x,7,-1/35*(-20*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/a/x^3+2/35*b*(-8*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/a^(3/2)/x/(sqrt(a)+sqrt(c)*x^2)-3/35*(10*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/x^5-1/7*(c*x^4+b*x^2+a)^(3/2)/x^7+2/35*b*c^(1/4)*(-8*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/sqrt(c*x^4+b*x^2+a)-1/70*c^(1/4)*(sqrt(c)*(-20*a*c+b^2)+2*b*(-8*a*c+b^2)/sqrt(a))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(5/4)/sqrt(c*x^4+b*x^2+a),1],
[x^7/sqrt(c*x^4+b*x^2+a),x,5,1/6*x^4*sqrt(c*x^4+b*x^2+a)/c+1/48*(-10*b*c*x^2-16*a*c+15*b^2)*sqrt(c*x^4+b*x^2+a)/c^3-1/32*b*(-12*a*c+5*b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(7/2),1],
[x^5/sqrt(c*x^4+b*x^2+a),x,5,-3/8*b*sqrt(c*x^4+b*x^2+a)/c^2+1/4*x^2*sqrt(c*x^4+b*x^2+a)/c+1/16*(-4*a*c+3*b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2),1],
[x^3/sqrt(c*x^4+b*x^2+a),x,4,1/2*sqrt(c*x^4+b*x^2+a)/c-1/4*b*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2),1],
[x/sqrt(c*x^4+b*x^2+a),x,3,1/2*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c),1],
[1/x/sqrt(c*x^4+b*x^2+a),x,3,-1/2*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/sqrt(a),1],
[1/x^3/sqrt(c*x^4+b*x^2+a),x,4,-1/2*sqrt(c*x^4+b*x^2+a)/a/x^2+1/4*b*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(3/2),1],
[1/x^5/sqrt(c*x^4+b*x^2+a),x,5,-1/4*sqrt(c*x^4+b*x^2+a)/a/x^4+3/8*b*sqrt(c*x^4+b*x^2+a)/a^2/x^2-1/16*(-4*a*c+3*b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(5/2),1],
[1/x^7/sqrt(c*x^4+b*x^2+a),x,6,-1/6*sqrt(c*x^4+b*x^2+a)/a/x^6+5/24*b*sqrt(c*x^4+b*x^2+a)/a^2/x^4-1/48*(-16*a*c+15*b^2)*sqrt(c*x^4+b*x^2+a)/a^3/x^2+1/32*b*(-12*a*c+5*b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(7/2),1],
[x^4/sqrt(c*x^4+b*x^2+a),x,5,1/3*x*sqrt(c*x^4+b*x^2+a)/c-2/3*b*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+2/3*a^(1/4)*b*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)-1/6*a^(1/4)*(2*b+sqrt(a)*sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[x^2/sqrt(c*x^4+b*x^2+a),x,4,x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)-a^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/2*a^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[1/sqrt(c*x^4+b*x^2+a),x,1,1/2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[1/x^2/sqrt(c*x^4+b*x^2+a),x,6,-sqrt(c*x^4+b*x^2+a)/a/x+sqrt(c)*x*sqrt(c*x^4+b*x^2+a)/a/(sqrt(a)+sqrt(c)*x^2)-c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^4+b*x^2+a)+1/2*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[1/x^4/sqrt(c*x^4+b*x^2+a),x,5,-1/3*sqrt(c*x^4+b*x^2+a)/a/x^3+2/3*b*sqrt(c*x^4+b*x^2+a)/a^(3/2)/x/(sqrt(a)+sqrt(c)*x^2)+2/3*b*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/sqrt(c*x^4+b*x^2+a)-1/6*(2*b+sqrt(a)*sqrt(c))*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[x^7/sqrt(-c*x^4+b*x^2+a),x,5,-1/6*x^4*sqrt(-c*x^4+b*x^2+a)/c-1/48*(10*b*c*x^2+16*a*c+15*b^2)*sqrt(-c*x^4+b*x^2+a)/c^3-1/32*b*(12*a*c+5*b^2)*arctan(1/2*(-2*c*x^2+b)/sqrt(c)/sqrt(-c*x^4+b*x^2+a))/c^(7/2),1],
[x^5/sqrt(-c*x^4+b*x^2+a),x,5,-3/8*b*sqrt(-c*x^4+b*x^2+a)/c^2-1/4*x^2*sqrt(-c*x^4+b*x^2+a)/c-1/16*(4*a*c+3*b^2)*arctan(1/2*(-2*c*x^2+b)/sqrt(c)/sqrt(-c*x^4+b*x^2+a))/c^(5/2),1],
[x^3/sqrt(-c*x^4+b*x^2+a),x,4,-1/2*sqrt(-c*x^4+b*x^2+a)/c-1/4*b*arctan(1/2*(-2*c*x^2+b)/sqrt(c)/sqrt(-c*x^4+b*x^2+a))/c^(3/2),1],
[x/sqrt(-c*x^4+b*x^2+a),x,3,-1/2*arctan(1/2*(-2*c*x^2+b)/sqrt(c)/sqrt(-c*x^4+b*x^2+a))/sqrt(c),1],
[1/x/sqrt(c*x^4+b*x^2-a),x,3,-1/2*arctan(1/2*(-b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2-a))/sqrt(a),1],
[1/x^3/sqrt(c*x^4+b*x^2-a),x,4,1/2*sqrt(c*x^4+b*x^2-a)/a/x^2-1/4*b*arctan(1/2*(-b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2-a))/a^(3/2),1],
[1/x^5/sqrt(c*x^4+b*x^2-a),x,5,1/4*sqrt(c*x^4+b*x^2-a)/a/x^4+3/8*b*sqrt(c*x^4+b*x^2-a)/a^2/x^2-1/16*(4*a*c+3*b^2)*arctan(1/2*(-b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2-a))/a^(5/2),1],
[1/x^7/sqrt(c*x^4+b*x^2-a),x,6,1/6*sqrt(c*x^4+b*x^2-a)/a/x^6+5/24*b*sqrt(c*x^4+b*x^2-a)/a^2/x^4+1/48*(16*a*c+15*b^2)*sqrt(c*x^4+b*x^2-a)/a^3/x^2-1/32*b*(12*a*c+5*b^2)*arctan(1/2*(-b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2-a))/a^(7/2),1],
[x^4/sqrt(-c*x^4+b*x^2+a),x,5,-1/3*x*sqrt(-c*x^4+b*x^2+a)/c-1/3*b*(b-sqrt(4*a*c+b^2))*sqrt(b+sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*EllipticE(sin(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2)))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/c^(5/2)/sqrt(-c*x^4+b*x^2+a)+1/3*sqrt(b+sqrt(4*a*c+b^2))*(b^2+a*c-b*sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*InverseJacobiAM(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/c^(5/2)/sqrt(-c*x^4+b*x^2+a),1],
[x^2/sqrt(-c*x^4+b*x^2+a),x,4,-1/2*(b-sqrt(4*a*c+b^2))*sqrt(b+sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*EllipticE(sin(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2)))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/c^(3/2)/sqrt(-c*x^4+b*x^2+a)+1/2*(b-sqrt(4*a*c+b^2))*sqrt(b+sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*InverseJacobiAM(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/c^(3/2)/sqrt(-c*x^4+b*x^2+a),1],
[1/sqrt(-c*x^4+b*x^2+a),x,2,sqrt(b+sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*InverseJacobiAM(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/sqrt(c)/sqrt(-c*x^4+b*x^2+a),1],
[1/x^2/sqrt(-c*x^4+b*x^2+a),x,6,-sqrt(-c*x^4+b*x^2+a)/a/x+1/2*(b-sqrt(4*a*c+b^2))*sqrt(b+sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*EllipticE(sin(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2)))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/a/sqrt(c)/sqrt(-c*x^4+b*x^2+a)-1/2*(b-sqrt(4*a*c+b^2))*sqrt(b+sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*InverseJacobiAM(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/a/sqrt(c)/sqrt(-c*x^4+b*x^2+a),1],
[1/x^4/sqrt(-c*x^4+b*x^2+a),x,6,-1/3*sqrt(-c*x^4+b*x^2+a)/a/x^3+2/3*b*sqrt(-c*x^4+b*x^2+a)/a^2/x-1/3*b*(b-sqrt(4*a*c+b^2))*sqrt(b+sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*EllipticE(sin(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2)))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/a^2/sqrt(c)/sqrt(-c*x^4+b*x^2+a)+1/3*sqrt(b+sqrt(4*a*c+b^2))*(b^2+a*c-b*sqrt(4*a*c+b^2))*sqrt(1-2*c*x^2/(b-sqrt(4*a*c+b^2)))*sqrt(1-2*c*x^2/(b+sqrt(4*a*c+b^2)))*InverseJacobiAM(arcsin(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(4*a*c+b^2))),sqrt((b+sqrt(4*a*c+b^2))/(b-sqrt(4*a*c+b^2))))/sqrt(2)/a^2/sqrt(c)/sqrt(-c*x^4+b*x^2+a),1],
[x^9/(c*x^4+b*x^2+a)^(3/2),x,6,x^6*(b*x^2+2*a)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-b*x^4*sqrt(c*x^4+b*x^2+a)/c/(-4*a*c+b^2)-1/8*(b*(-52*a*c+15*b^2)-2*c*(-12*a*c+5*b^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c^3/(-4*a*c+b^2)+3/16*(-4*a*c+5*b^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(7/2),1],
[x^7/(c*x^4+b*x^2+a)^(3/2),x,5,x^4*(b*x^2+2*a)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+1/2*(-2*b*c*x^2-8*a*c+3*b^2)*sqrt(c*x^4+b*x^2+a)/c^2/(-4*a*c+b^2)-3/4*b*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2),1],
[x^5/(c*x^4+b*x^2+a)^(3/2),x,5,x^2*(b*x^2+2*a)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-b*sqrt(c*x^4+b*x^2+a)/c/(-4*a*c+b^2)+1/2*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2),1],
[x^3/(c*x^4+b*x^2+a)^(3/2),x,2,(b*x^2+2*a)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[x/(c*x^4+b*x^2+a)^(3/2),x,2,-(2*c*x^2+b)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[1/x/(c*x^4+b*x^2+a)^(3/2),x,5,(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(3/2),1],
[1/x^3/(c*x^4+b*x^2+a)^(3/2),x,5,(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^2/sqrt(c*x^4+b*x^2+a)-1/2*(-8*a*c+3*b^2)*sqrt(c*x^4+b*x^2+a)/a^2/(-4*a*c+b^2)/x^2+3/4*b*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(5/2),1],
[1/x^5/(c*x^4+b*x^2+a)^(3/2),x,6,(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^4/sqrt(c*x^4+b*x^2+a)-1/4*(-12*a*c+5*b^2)*sqrt(c*x^4+b*x^2+a)/a^2/(-4*a*c+b^2)/x^4+1/8*b*(-52*a*c+15*b^2)*sqrt(c*x^4+b*x^2+a)/a^3/(-4*a*c+b^2)/x^2-3/16*(-4*a*c+5*b^2)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/a^(7/2),1],
[x^6/(c*x^4+b*x^2+a)^(3/2),x,5,-x*(a*b+(-2*a*c+b^2)*x^2)/c/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+2*(-3*a*c+b^2)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)-2*a^(1/4)*(-3*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+1/2*a^(1/4)*(2*b^2+sqrt(a)*b*sqrt(c)-6*a*c)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[x^4/(c*x^4+b*x^2+a)^(3/2),x,5,x*(b*x^2+2*a)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-b*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+a^(1/4)*b*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*a^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/(b-2*sqrt(a)*sqrt(c))/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[x^2/(c*x^4+b*x^2+a)^(3/2),x,5,-x*(2*c*x^2+b)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+2*sqrt(c)*x*sqrt(c*x^4+b*x^2+a)/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)-2*a^(1/4)*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+1/2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/(b-2*sqrt(a)*sqrt(c))/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[1/(c*x^4+b*x^2+a)^(3/2),x,5,x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-b*sqrt(c)*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+b*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/sqrt(c*x^4+b*x^2+a),1],
[1/x^2/(c*x^4+b*x^2+a)^(3/2),x,5,(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x/sqrt(c*x^4+b*x^2+a)-2*(-3*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/a^(3/2)/(-4*a*c+b^2)/x/(sqrt(a)+sqrt(c)*x^2)-2*c^(1/4)*(-3*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+1/2*(2*b-3*sqrt(a)*sqrt(c))*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/(b-2*sqrt(a)*sqrt(c))/sqrt(c*x^4+b*x^2+a),1],
[x^4/sqrt(c*x^4+b*x^2),x,3,-2/3*b*sqrt(c*x^4+b*x^2)/c^2/x+1/3*x*sqrt(c*x^4+b*x^2)/c,1],
[x^3/sqrt(c*x^4+b*x^2),x,5,1/2*sqrt(c*x^4+b*x^2)/c-1/2*b*arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/c^(3/2),1],
[x^2/sqrt(c*x^4+b*x^2),x,2,sqrt(c*x^4+b*x^2)/c/x,1],
[x/sqrt(c*x^4+b*x^2),x,4,arctanh(sqrt(c)*x^2/sqrt(c*x^4+b*x^2))/sqrt(c),1],
[1/sqrt(c*x^4+b*x^2),x,3,-arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/sqrt(b),1],
[1/x/sqrt(c*x^4+b*x^2),x,2,-sqrt(c*x^4+b*x^2)/b/x^2,1],
[1/x^2/sqrt(c*x^4+b*x^2),x,4,-1/2*sqrt(c*x^4+b*x^2)/b/x^3+1/2*c*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(3/2),1],
[1/x^3/sqrt(c*x^4+b*x^2),x,3,-1/3*sqrt(c*x^4+b*x^2)/b/x^4+2/3*c*sqrt(c*x^4+b*x^2)/b^2/x^2,1],
[1/x^4/sqrt(c*x^4+b*x^2),x,5,-1/4*sqrt(c*x^4+b*x^2)/b/x^5+3/8*c*sqrt(c*x^4+b*x^2)/b^2/x^3-3/8*c^2*arctanh(sqrt(b)*x/sqrt(c*x^4+b*x^2))/b^(5/2),1],
[x^4/sqrt(c*x^4+a),x,3,1/3*x*sqrt(c*x^4+a)/c-1/6*a^(3/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(5/4)/sqrt(c*x^4+a),1],
[x^3/sqrt(c*x^4+a),x,2,1/2*sqrt(c*x^4+a)/c,1],
[x^2/sqrt(c*x^4+a),x,5,x*sqrt(c*x^4+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)-a^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a)+1/2*a^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a),1],
[x/sqrt(c*x^4+a),x,4,1/2*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c),1],
[1/sqrt(c*x^4+a),x,2,1/2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/c^(1/4)/sqrt(c*x^4+a),1],
[1/x/sqrt(c*x^4+a),x,4,-1/2*arctanh(sqrt(c*x^4+a)/sqrt(a))/sqrt(a),1],
[1/x^2/sqrt(c*x^4+a),x,6,-sqrt(c*x^4+a)/a/x+sqrt(c)*x*sqrt(c*x^4+a)/a/(sqrt(a)+sqrt(c)*x^2)-c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/sqrt(c*x^4+a)+1/2*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(3/4)/sqrt(c*x^4+a),1],
[1/x^3/sqrt(c*x^4+a),x,2,-1/2*sqrt(c*x^4+a)/a/x^2,1],
[1/x^4/sqrt(c*x^4+a),x,3,-1/3*sqrt(c*x^4+a)/a/x^3-1/6*c^(3/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/sqrt(c*x^4+a),1],
[x^4/sqrt(b*x^2+a),x,5,-3/8*a*x*sqrt(b*x^2+a)/b^2+1/4*x^3*sqrt(b*x^2+a)/b+3/8*a^2*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x^3/sqrt(b*x^2+a),x,4,-a*sqrt(b*x^2+a)/b^2+1/3*(b*x^2+a)^(3/2)/b^2,1],
[x^2/sqrt(b*x^2+a),x,4,1/2*x*sqrt(b*x^2+a)/b-1/2*a*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[x/sqrt(b*x^2+a),x,2,sqrt(b*x^2+a)/b,1],
[1/sqrt(b*x^2+a),x,3,arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b),1],
[1/x/sqrt(b*x^2+a),x,4,-arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[1/x^2/sqrt(b*x^2+a),x,2,-sqrt(b*x^2+a)/a/x,1],
[1/x^3/sqrt(b*x^2+a),x,5,-1/2*sqrt(b*x^2+a)/a/x^2+1/2*b*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[1/x^4/sqrt(b*x^2+a),x,3,-1/3*sqrt(b*x^2+a)/a/x^3+2/3*b*sqrt(b*x^2+a)/a^2/x,1],
[x^3/sqrt(c*x^4),x,3,1/2*sqrt(c*x^4)/c,1],
[1/x/sqrt(c*x^4),x,3,-1/2/sqrt(c*x^4),1],
[1/x^5/sqrt(c*x^4),x,3,-1/6*c/(c*x^4)^(3/2),1],
[x^4/sqrt(c*x^4),x,4,1/3*x*sqrt(c*x^4)/c,1],
[x^2/sqrt(c*x^4),x,3,x^3/sqrt(c*x^4),1],
[x/sqrt(c*x^4),x,3,x^2*ln(x)/sqrt(c*x^4),1],
[1/sqrt(c*x^4),x,3,-x/sqrt(c*x^4),1],
[1/x^2/sqrt(c*x^4),x,3,-1/3/x/sqrt(c*x^4),1],
[1/x^3/sqrt(c*x^4),x,3,-1/4/x^2/sqrt(c*x^4),1],
[1/x^4/sqrt(c*x^4),x,3,-1/5/x^3/sqrt(c*x^4),1],
[x^4/sqrt(a),x,2,1/5*x^5/sqrt(a),1],
[x^3/sqrt(a),x,2,1/4*x^4/sqrt(a),1],
[x^2/sqrt(a),x,2,1/3*x^3/sqrt(a),1],
[x/sqrt(a),x,2,1/2*x^2/sqrt(a),1],
[1/sqrt(a),x,2,x/sqrt(a),1],
[1/x/sqrt(a),x,2,ln(x)/sqrt(a),1],
[1/x^2/sqrt(a),x,2,-1/x/sqrt(a),1],
[1/x^3/sqrt(a),x,2,-1/2/x^2/sqrt(a),1],
[1/x^4/sqrt(a),x,2,-1/3/x^3/sqrt(a),1],
[(d*x)^(3/2)*sqrt(c*x^4+b*x^2+a),x,4,2/5*(d*x)^(5/2)*sqrt(c*x^4+b*x^2+a)*AppellF1(5/4,-1/2,-1/2,9/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[sqrt(d*x)*sqrt(c*x^4+b*x^2+a),x,4,2/3*(d*x)^(3/2)*sqrt(c*x^4+b*x^2+a)*AppellF1(3/4,-1/2,-1/2,7/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[sqrt(c*x^4+b*x^2+a)/sqrt(d*x),x,4,2*sqrt(d*x)*sqrt(c*x^4+b*x^2+a)*AppellF1(1/4,-1/2,-1/2,5/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[sqrt(c*x^4+b*x^2+a)/(d*x)^(3/2),x,4,-2*sqrt(c*x^4+b*x^2+a)*AppellF1(-1/4,-1/2,-1/2,3/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(d*x)/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[(d*x)^(3/2)*(c*x^4+b*x^2+a)^(3/2),x,4,2/5*a*(d*x)^(5/2)*sqrt(c*x^4+b*x^2+a)*AppellF1(5/4,-3/2,-3/2,9/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[sqrt(d*x)*(c*x^4+b*x^2+a)^(3/2),x,4,2/3*a*(d*x)^(3/2)*sqrt(c*x^4+b*x^2+a)*AppellF1(3/4,-3/2,-3/2,7/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[(c*x^4+b*x^2+a)^(3/2)/sqrt(d*x),x,4,2*a*sqrt(d*x)*sqrt(c*x^4+b*x^2+a)*AppellF1(1/4,-3/2,-3/2,5/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[(c*x^4+b*x^2+a)^(3/2)/(d*x)^(3/2),x,4,-2*a*sqrt(c*x^4+b*x^2+a)*AppellF1(-1/4,-3/2,-3/2,3/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(d*x)/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[(d*x)^(3/2)/sqrt(c*x^4+b*x^2+a),x,4,2/5*(d*x)^(5/2)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(5/4,1/2,1/2,9/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(c*x^4+b*x^2+a),1],
[sqrt(d*x)/sqrt(c*x^4+b*x^2+a),x,4,2/3*(d*x)^(3/2)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(3/4,1/2,1/2,7/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(c*x^4+b*x^2+a),1],
[1/sqrt(d*x)/sqrt(c*x^4+b*x^2+a),x,4,2*sqrt(d*x)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/4,1/2,1/2,5/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(c*x^4+b*x^2+a),1],
[1/(d*x)^(3/2)/sqrt(c*x^4+b*x^2+a),x,4,-2*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(-1/4,1/2,1/2,3/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/sqrt(d*x)/sqrt(c*x^4+b*x^2+a),1],
[(d*x)^(3/2)/(c*x^4+b*x^2+a)^(3/2),x,4,2/5*(d*x)^(5/2)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(5/4,3/2,3/2,9/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/a/d/sqrt(c*x^4+b*x^2+a),1],
[sqrt(d*x)/(c*x^4+b*x^2+a)^(3/2),x,4,2/3*(d*x)^(3/2)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(3/4,3/2,3/2,7/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/a/d/sqrt(c*x^4+b*x^2+a),1],
[1/sqrt(d*x)/(c*x^4+b*x^2+a)^(3/2),x,4,2*sqrt(d*x)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/4,3/2,3/2,5/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/a/d/sqrt(c*x^4+b*x^2+a),1],
[1/(d*x)^(3/2)/(c*x^4+b*x^2+a)^(3/2),x,4,-2*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(-1/4,3/2,3/2,3/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/a/d/sqrt(d*x)/sqrt(c*x^4+b*x^2+a),1],
[(d*x)^m*(c*x^4+b*x^2+a)^3,x,3,a^3*(d*x)^(1+m)/d/(1+m)+3*a^2*b*(d*x)^(3+m)/d^3/(3+m)+3*a*(a*c+b^2)*(d*x)^(5+m)/d^5/(5+m)+b*(6*a*c+b^2)*(d*x)^(7+m)/d^7/(7+m)+3*c*(a*c+b^2)*(d*x)^(9+m)/d^9/(9+m)+3*b*c^2*(d*x)^(11+m)/d^11/(11+m)+c^3*(d*x)^(13+m)/d^13/(13+m),1],
[(d*x)^m*(c*x^4+b*x^2+a)^2,x,3,a^2*(d*x)^(1+m)/d/(1+m)+2*a*b*(d*x)^(3+m)/d^3/(3+m)+(2*a*c+b^2)*(d*x)^(5+m)/d^5/(5+m)+2*b*c*(d*x)^(7+m)/d^7/(7+m)+c^2*(d*x)^(9+m)/d^9/(9+m),1],
[(d*x)^m*(c*x^4+b*x^2+a),x,3,a*(d*x)^(1+m)/d/(1+m)+b*(d*x)^(3+m)/d^3/(3+m)+c*(d*x)^(5+m)/d^5/(5+m),1],
[(d*x)^m/(c*x^4+b*x^2+a),x,4,2*c*(d*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))/d/(1+m)-2*c*(d*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))/d/(1+m),1],
[(d*x)^m/(c*x^4+b*x^2+a)^2,x,5,1/2*(d*x)^(1+m)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/d/(c*x^4+b*x^2+a)+1/2*c*(b^2*(1-m)+b*sqrt(-4*a*c+b^2)*(1-m)-4*a*c*(3-m))*(d*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-2*c*x^2/(b-sqrt(-4*a*c+b^2)))/a/(-4*a*c+b^2)^(3/2)/(b-sqrt(-4*a*c+b^2))/d/(1+m)-1/2*c*(b^2*(1-m)-b*sqrt(-4*a*c+b^2)*(1-m)-4*a*c*(3-m))*(d*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/a/(-4*a*c+b^2)^(3/2)/(b+sqrt(-4*a*c+b^2))/d/(1+m),1],
[(d*x)^m*(c*x^4+b*x^2+a)^(3/2),x,4,a*(d*x)^(1+m)*sqrt(c*x^4+b*x^2+a)*AppellF1(1/2+1/2*m,-3/2,-3/2,3/2+1/2*m,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[(d*x)^m*sqrt(c*x^4+b*x^2+a),x,4,(d*x)^(1+m)*sqrt(c*x^4+b*x^2+a)*AppellF1(1/2+1/2*m,-1/2,-1/2,3/2+1/2*m,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2))),1],
[(d*x)^m/sqrt(c*x^4+b*x^2+a),x,4,(d*x)^(1+m)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/2+1/2*m,1/2,1/2,3/2+1/2*m,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/sqrt(c*x^4+b*x^2+a),1],
[(d*x)^m/(c*x^4+b*x^2+a)^(3/2),x,4,(d*x)^(1+m)*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/2+1/2*m,3/2,3/2,3/2+1/2*m,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/a/d/(1+m)/sqrt(c*x^4+b*x^2+a),1],
[x^7*(c*x^4+b*x^2+a)^p,x,4,1/4*x^4*(c*x^4+b*x^2+a)^(p+1)/c/(2+p)+1/8*(b^2*(2+p)*(3+p)-2*a*c*(3+2*p)-2*b*c*(p+1)*(3+p)*x^2)*(c*x^4+b*x^2+a)^(p+1)/c^3/(p+1)/(2+p)/(3+2*p)-2^(-2+p)*b*(6*a*c-b^2*(3+p))*(-(b-sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))^(-1-p)*(c*x^4+b*x^2+a)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(b+sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)/(p+1)/(3+2*p),1],
[x^5*(c*x^4+b*x^2+a)^p,x,4,-1/4*b*(2+p)*(c*x^4+b*x^2+a)^(p+1)/c^2/(p+1)/(3+2*p)+1/2*x^2*(c*x^4+b*x^2+a)^(p+1)/c/(3+2*p)+2^(-1+p)*(2*a*c-b^2*(2+p))*(-(b-sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))^(-1-p)*(c*x^4+b*x^2+a)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(b+sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)/(p+1)/(3+2*p),1],
[x^3*(c*x^4+b*x^2+a)^p,x,3,1/4*(c*x^4+b*x^2+a)^(p+1)/c/(p+1)+2^(-1+p)*b*(-(b-sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))^(-1-p)*(c*x^4+b*x^2+a)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(b+sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)/(p+1),1],
[x*(c*x^4+b*x^2+a)^p,x,2,-2^p*(-(b-sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))^(-1-p)*(c*x^4+b*x^2+a)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(b+sqrt(-4*a*c+b^2)+2*c*x^2)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(p+1),1],
[(c*x^4+b*x^2+a)^p/x,x,3,4^(-1+p)*(c*x^4+b*x^2+a)^p*AppellF1(-2*p,-p,-p,1-2*p,-1/2*(b-sqrt(-4*a*c+b^2))/c/x^2,-1/2*(b+sqrt(-4*a*c+b^2))/c/x^2)/p/(((b-sqrt(-4*a*c+b^2)+2*c*x^2)/c/x^2)^p)/(((b+sqrt(-4*a*c+b^2)+2*c*x^2)/c/x^2)^p),1],
[(c*x^4+b*x^2+a)^p/x^3,x,3,-2^(-1+2*p)*(c*x^4+b*x^2+a)^p*AppellF1(1-2*p,-p,-p,2-2*p,-1/2*(b-sqrt(-4*a*c+b^2))/c/x^2,-1/2*(b+sqrt(-4*a*c+b^2))/c/x^2)/(1-2*p)/x^2/(((b-sqrt(-4*a*c+b^2)+2*c*x^2)/c/x^2)^p)/(((b+sqrt(-4*a*c+b^2)+2*c*x^2)/c/x^2)^p),1],
[(c*x^4+b*x^2+a)^p/x^5,x,3,-4^(-1+p)*(c*x^4+b*x^2+a)^p*AppellF1(2-2*p,-p,-p,3-2*p,-1/2*(b-sqrt(-4*a*c+b^2))/c/x^2,-1/2*(b+sqrt(-4*a*c+b^2))/c/x^2)/(1-p)/x^4/(((b-sqrt(-4*a*c+b^2)+2*c*x^2)/c/x^2)^p)/(((b+sqrt(-4*a*c+b^2)+2*c*x^2)/c/x^2)^p),1],
[x^4*(c*x^4+b*x^2+a)^p,x,3,1/5*x^5*(c*x^4+b*x^2+a)^p*AppellF1(5/2,-p,-p,7/2,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1],
[x^2*(c*x^4+b*x^2+a)^p,x,3,1/3*x^3*(c*x^4+b*x^2+a)^p*AppellF1(3/2,-p,-p,5/2,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^4+b*x^2+a)^p,x,3,x*(c*x^4+b*x^2+a)^p*AppellF1(1/2,-p,-p,3/2,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^4+b*x^2+a)^p/x^2,x,3,-(c*x^4+b*x^2+a)^p*AppellF1(-1/2,-p,-p,1/2,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/x/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^4+b*x^2+a)^p/x^4,x,3,-1/3*(c*x^4+b*x^2+a)^p*AppellF1(-3/2,-p,-p,-1/2,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/x^3/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1],
[(d*x)^m*(c*x^4+b*x^2+a)^p,x,4,(d*x)^(1+m)*(c*x^4+b*x^2+a)^p*AppellF1(1/2+1/2*m,-p,-p,3/2+1/2*m,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1],
[(e*x)^(-7-4*p)*(c*x^4+b*x^2+a)^p,x,6,1/4*(-2*a*(p+1)+b*(2+p)*x^2)*(c*x^4+b*x^2+a)^(p+1)/a^2/e^7/(2*p^2+5*p+3)/x^6/((e*x)^(4*p))-1/4*(-2*a*c+b^2*(2+p))*(b+sqrt(-4*a*c+b^2)+2*c*x^2)*(c*x^4+b*x^2+a)^p*hypergeom([-1-2*p, -p],[-2*p],-sqrt(-4*a*c+b^2)*x^2/(a+2*a*c*x^2/(b+sqrt(-4*a*c+b^2))))/a^2/(b+sqrt(-4*a*c+b^2))/e^7/(4*p^2+8*p+3)/x^2/((e*x)^(4*p))/(((2*a+(b+sqrt(-4*a*c+b^2))*x^2)/(2*a+(b-sqrt(-4*a*c+b^2))*x^2))^p),1],
[(e*x)^(-5-4*p)*(c*x^4+b*x^2+a)^p,x,5,-1/4*(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*(c*x^4+b*x^2+a)^p/e/(p+1)/((e*x)^(4*p+4))+1/4*b*(e*x)^(-2-4*p)*(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*(c*x^4+b*x^2+a)^p*hypergeom([-1-2*p, -p],[-2*p],sqrt(-4*a*c+b^2)*x^2/a/(1+2*c*x^2/(b-sqrt(-4*a*c+b^2))))/a/e^3/(1+2*p)/(((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))/(1+2*c*x^2/(b-sqrt(-4*a*c+b^2))))^p),1],
[(e*x)^(-3-4*p)*(c*x^4+b*x^2+a)^p,x,3,-1/2*(e*x)^(-2-4*p)*(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*(c*x^4+b*x^2+a)^p*hypergeom([-1-2*p, -p],[-2*p],sqrt(-4*a*c+b^2)*x^2/a/(1+2*c*x^2/(b-sqrt(-4*a*c+b^2))))/e/(1+2*p)/(((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))/(1+2*c*x^2/(b-sqrt(-4*a*c+b^2))))^p),1],
[(e*x)^(-1-4*p)*(c*x^4+b*x^2+a)^p,x,4,-1/4*(c*x^4+b*x^2+a)^p*AppellF1(-2*p,-p,-p,1-2*p,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/e/p/((e*x)^(4*p))/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1],
[(e*x)^(1-4*p)*(c*x^4+b*x^2+a)^p,x,4,1/2*(e*x)^(2-4*p)*(c*x^4+b*x^2+a)^p*AppellF1(1-2*p,-p,-p,2-2*p,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/e/(1-2*p)/((1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))^p),1]]: