lst:=[[x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,a*x^9*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(9*b*x^3+9*a)+b*x^12*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(12*b*x^3+12*a),1],
[x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,-1/6*a*(b*x^3+a)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^2+1/9*(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/b^2,1],
[x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2),x,3,1/6*(b*x^3+a)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b,1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x,x,4,b*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+a*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^4,x,4,-1/3*a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+b*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^7,x,3,-1/6*(b*x^3+a)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a/x^6,1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^10,x,4,-1/9*a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^9/(b*x^3+a)-1/6*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6/(b*x^3+a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^13,x,4,-1/12*a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^12/(b*x^3+a)-1/9*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^9/(b*x^3+a),1],
[x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2),x,3,a*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(5*b*x^3+5*a)+b*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(8*b*x^3+8*a),1],
[x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2),x,3,a*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+b*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a),1],
[x*sqrt(b^2*x^6+2*a*b*x^3+a^2),x,3,a*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+b*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(5*b*x^3+5*a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2),x,2,a*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+b*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^2,x,3,-a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a)+b*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3,x,3,-1/2*a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^2/(b*x^3+a)+b*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^5,x,3,-1/4*a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^4/(b*x^3+a)-b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6,x,3,-1/5*a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^5/(b*x^3+a)-1/2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^2/(b*x^3+a),1],
[sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^8,x,3,-1/7*a*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^7/(b*x^3+a)-1/4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^4/(b*x^3+a),1],
[x^8*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,-4,1/12*a^2*(b*x^3+a)^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^3-2/15*a*(b*x^3+a)^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^3+1/18*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^3,1],
[x^5*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,-1/12*a*(b*x^3+a)^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^2+1/15*(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/b^2,1],
[x^2*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,3,1/12*(b*x^3+a)^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b,1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x,x,4,a^2*b*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+a*b^2*x^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+b^3*x^9*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(9*b*x^3+9*a)+a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^4,x,4,-1/3*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+a*b^2*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+b^3*x^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(6*b*x^3+6*a)+3*a^2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^7,x,4,-1/6*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6/(b*x^3+a)-a^2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+b^3*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+3*a*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^10,x,4,-1/9*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^9/(b*x^3+a)-1/2*a^2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6/(b*x^3+a)-a*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+b^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^13,x,2,-1/12*(b*x^3+a)^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a/x^12,1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^16,x,4,-1/15*(b*x^3+a)^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a/x^15+1/60*b*(b*x^3+a)^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a^2/x^12,1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^19,x,4,-1/18*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^18/(b*x^3+a)-1/5*a^2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^15/(b*x^3+a)-1/4*a*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^12/(b*x^3+a)-1/9*b^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^9/(b*x^3+a),1],
[x^4*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,3,a^3*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(5*b*x^3+5*a)+3*a^2*b*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(8*b*x^3+8*a)+3*a*b^2*x^11*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(11*b*x^3+11*a)+b^3*x^14*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(14*b*x^3+14*a),1],
[x^3*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,3,a^3*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+3*a^2*b*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a)+3*a*b^2*x^10*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(10*b*x^3+10*a)+b^3*x^13*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(13*b*x^3+13*a),1],
[x*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,3,a^3*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+3*a^2*b*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(5*b*x^3+5*a)+3*a*b^2*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(8*b*x^3+8*a)+b^3*x^11*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(11*b*x^3+11*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,3,a^3*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+3*a^2*b*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+3*a*b^2*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a)+b^3*x^10*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(10*b*x^3+10*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^2,x,3,-a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a)+3*a^2*b*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+3*a*b^2*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(5*b*x^3+5*a)+b^3*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(8*b*x^3+8*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^3,x,3,-1/2*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^2/(b*x^3+a)+3*a^2*b*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+3*a*b^2*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+b^3*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^5,x,3,-1/4*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^4/(b*x^3+a)-3*a^2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a)+3*a*b^2*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+b^3*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(5*b*x^3+5*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^6,x,3,-1/5*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^5/(b*x^3+a)-3/2*a^2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^2/(b*x^3+a)+3*a*b^2*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+b^3*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^8,x,3,-1/7*a^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^7/(b*x^3+a)-3/4*a^2*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^4/(b*x^3+a)-3*a*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a)+b^3*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a),1],
[x^11*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,-1/18*a^3*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^4+1/7*a^2*(b*x^3+a)^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^4-1/8*a*(b*x^3+a)^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^4+1/27*(b*x^3+a)^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^4,1],
[x^8*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,1/18*a^2*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^3-2/21*a*(b*x^3+a)^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^3+1/24*(b*x^3+a)^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^3,1],
[x^5*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,-1/18*a*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^2+1/21*(b^2*x^6+2*a*b*x^3+a^2)^(7/2)/b^2,1],
[x^2*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,3,1/18*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b,1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x,x,4,5*a^4*b*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+5*a^3*b^2*x^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+10*a^2*b^3*x^9*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(9*b*x^3+9*a)+5*a*b^4*x^12*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(12*b*x^3+12*a)+b^5*x^15*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(15*b*x^3+15*a)+a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^4,x,4,-1/3*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+10*a^3*b^2*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+5*a^2*b^3*x^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+5*a*b^4*x^9*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(9*b*x^3+9*a)+b^5*x^12*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(12*b*x^3+12*a)+5*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^7,x,4,-1/6*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6/(b*x^3+a)-5/3*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+10*a^2*b^3*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+5*a*b^4*x^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(6*b*x^3+6*a)+b^5*x^9*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(9*b*x^3+9*a)+10*a^3*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^10,x,4,-1/9*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^9/(b*x^3+a)-5/6*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6/(b*x^3+a)-10/3*a^3*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+5*a*b^4*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+b^5*x^6*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(6*b*x^3+6*a)+10*a^2*b^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^13,x,4,-1/12*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^12/(b*x^3+a)-5/9*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^9/(b*x^3+a)-5/3*a^3*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6/(b*x^3+a)-10/3*a^2*b^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+b^5*x^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(3*b*x^3+3*a)+5*a*b^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^16,x,4,-1/15*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^15/(b*x^3+a)-5/12*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^12/(b*x^3+a)-10/9*a^3*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^9/(b*x^3+a)-5/3*a^2*b^3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^6/(b*x^3+a)-5/3*a*b^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^3/(b*x^3+a)+b^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)*ln(x)/(b*x^3+a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^19,x,2,-1/18*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a/x^18,1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^22,x,4,-1/21*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a/x^21+1/126*b*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a^2/x^18,1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^25,x,5,-1/24*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a/x^24+1/84*b*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a^2/x^21-1/504*b^2*(b*x^3+a)^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/a^3/x^18,1],
[x^4*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,3,a^5*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(5*b*x^3+5*a)+5*a^4*b*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(8*b*x^3+8*a)+10*a^3*b^2*x^11*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(11*b*x^3+11*a)+5*a^2*b^3*x^14*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a)+5*a*b^4*x^17*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(17*b*x^3+17*a)+b^5*x^20*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(20*b*x^3+20*a),1],
[x^3*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,3,a^5*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+5*a^4*b*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a)+a^3*b^2*x^10*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+10*a^2*b^3*x^13*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(13*b*x^3+13*a)+5*a*b^4*x^16*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(16*b*x^3+16*a)+b^5*x^19*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(19*b*x^3+19*a),1],
[x*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,3,a^5*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+a^4*b*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+5*a^3*b^2*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+10*a^2*b^3*x^11*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(11*b*x^3+11*a)+5*a*b^4*x^14*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(14*b*x^3+14*a)+b^5*x^17*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(17*b*x^3+17*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,3,a^5*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+5*a^4*b*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+10*a^3*b^2*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a)+a^2*b^3*x^10*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+5*a*b^4*x^13*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(13*b*x^3+13*a)+b^5*x^16*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(16*b*x^3+16*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^2,x,3,-a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a)+5*a^4*b*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+2*a^3*b^2*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+5*a^2*b^3*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(4*b*x^3+4*a)+5*a*b^4*x^11*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(11*b*x^3+11*a)+b^5*x^14*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(14*b*x^3+14*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^3,x,3,-1/2*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^2/(b*x^3+a)+5*a^4*b*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+5*a^3*b^2*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+10*a^2*b^3*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a)+a*b^4*x^10*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+b^5*x^13*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(13*b*x^3+13*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^5,x,3,-1/4*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^4/(b*x^3+a)-5*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a)+5*a^3*b^2*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+2*a^2*b^3*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+5*a*b^4*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(8*b*x^3+8*a)+b^5*x^11*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(11*b*x^3+11*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^6,x,3,-1/5*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^5/(b*x^3+a)-5/2*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^2/(b*x^3+a)+10*a^3*b^2*x*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+5*a^2*b^3*x^4*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(2*b*x^3+2*a)+5*a*b^4*x^7*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(7*b*x^3+7*a)+b^5*x^10*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(10*b*x^3+10*a),1],
[(b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^8,x,3,-1/7*a^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^7/(b*x^3+a)-5/4*a^4*b*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x^4/(b*x^3+a)-10*a^3*b^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/x/(b*x^3+a)+5*a^2*b^3*x^2*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+a*b^4*x^5*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(b*x^3+a)+b^5*x^8*sqrt(b^2*x^6+2*a*b*x^3+a^2)/(8*b*x^3+8*a),1],
[x^11/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,1/3*a^2*x^3*(b*x^3+a)/b^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*a*x^6*(b*x^3+a)/b^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/9*x^9*(b*x^3+a)/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*a^3*(b*x^3+a)*ln(b*x^3+a)/b^4/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^8/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,-1/3*a*x^3*(b*x^3+a)/b^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*x^6*(b*x^3+a)/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*a^2*(b*x^3+a)*ln(b*x^3+a)/b^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^5/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,1/3*sqrt(b^2*x^6+2*a*b*x^3+a^2)/b^2-1/3*a*(b*x^3+a)*ln(b*x^3+a)/b^2/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^2/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,3,1/3*(b*x^3+a)*ln(b*x^3+a)/b/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,5,(b*x^3+a)*ln(x)/a/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*(b*x^3+a)*ln(b*x^3+a)/a/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^4/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,1/3*(-b*x^3-a)/a/x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-b*(b*x^3+a)*ln(x)/a^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*b*(b*x^3+a)*ln(b*x^3+a)/a^2/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^7/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,-1/6*(b*x^3+a)/a/x^6/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*b*(b*x^3+a)/a^2/x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+b^2*(b*x^3+a)*ln(x)/a^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*b^2*(b*x^3+a)*ln(b*x^3+a)/a^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^10/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,-1/9*(b*x^3+a)/a/x^9/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*b*(b*x^3+a)/a^2/x^6/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*b^2*(b*x^3+a)/a^3/x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-b^3*(b*x^3+a)*ln(x)/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*b^3*(b*x^3+a)*ln(b*x^3+a)/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^6/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,9,-a*x*(b*x^3+a)/b^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/4*x^4*(b*x^3+a)/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)-a^(4/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*a^(4/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*a^(4/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^4/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,8,1/2*x^2*(b*x^3+a)/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)+a^(2/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*a^(2/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*a^(2/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,8,x*(b*x^3+a)/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)+a^(1/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*a^(1/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*a^(1/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,7,-(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(1/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(1/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(1/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,7,-(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^2/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,8,-(b*x^3+a)/a/x/sqrt(b^2*x^6+2*a*b*x^3+a^2)+b^(1/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*b^(1/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*b^(1/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,8,1/2*(-b*x^3-a)/a/x^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+b^(2/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*b^(2/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*b^(2/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^5/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,9,-1/4*(b*x^3+a)/a/x^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+b*(b*x^3+a)/a^2/x/sqrt(b^2*x^6+2*a*b*x^3+a^2)-b^(4/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*b^(4/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*b^(4/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^14/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,4/3*a^3/b^5/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*a^4/b^5/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-a*x^3*(b*x^3+a)/b^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*x^6*(b*x^3+a)/b^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+2*a^2*(b*x^3+a)*ln(b*x^3+a)/b^5/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^11/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,-a^2/b^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*a^3/b^4/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*x^3*(b*x^3+a)/b^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-a*(b*x^3+a)*ln(b*x^3+a)/b^4/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^8/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,2/3*a/b^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*a^2/b^3/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/3*(b*x^3+a)*ln(b*x^3+a)/b^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^5/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,1/6*x^6/a/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^2/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,3,-1/6/b/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,1/3/a^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6/a/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+(b*x^3+a)*ln(x)/a^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*(b*x^3+a)*ln(b*x^3+a)/a^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^4/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,-2/3*b/a^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*b/a^2/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*(b*x^3+a)/a^3/x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-3*b*(b*x^3+a)*ln(x)/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+b*(b*x^3+a)*ln(b*x^3+a)/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^7/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,b^2/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*b^2/a^3/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*(b*x^3+a)/a^3/x^6/sqrt(b^2*x^6+2*a*b*x^3+a^2)+b*(b*x^3+a)/a^4/x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+6*b^2*(b*x^3+a)*ln(x)/a^5/sqrt(b^2*x^6+2*a*b*x^3+a^2)-2*b^2*(b*x^3+a)*ln(b*x^3+a)/a^5/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^6/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,9,-2/9*x/b^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*x^4/b/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-2/9*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+2/27*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/27*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^4/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,9,1/9*x^2/a/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*x^2/b/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/9*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/27*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(4/3)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/54*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(4/3)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^3/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,9,1/18*x/a/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*x/b/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/9*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/27*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/54*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,9,2/9*x^2/a^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*x^2/a/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-2/9*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-2/27*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(7/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/27*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(7/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,9,5/18*x/a^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6*x/a/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/9*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(8/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+5/27*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(8/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/54*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(8/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^2/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,10,-5/9*b*x^2/a^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*b*x^2/a^2/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-(b*x^3+a)/a^3/x/sqrt(b^2*x^6+2*a*b*x^3+a^2)+14/9*b^(1/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(10/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+14/27*b^(1/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(10/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-7/27*b^(1/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(10/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^3/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,10,-11/18*b*x/a^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6*b*x/a^2/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/2*(b*x^3+a)/a^3/x^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+20/9*b^(2/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(11/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-20/27*b^(2/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(11/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+10/27*b^(2/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(11/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^8/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,-1/12*a^2/b^3/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+2/9*a/b^3/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/6/b^3/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^5/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,-1/9/b^2/(b^2*x^6+2*a*b*x^3+a^2)^(3/2)+1/12*a/b^2/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^2/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,3,-1/12/b/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,1/3/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/12/a/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/9/a^2/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/6/a^3/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+(b*x^3+a)*ln(x)/a^5/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*(b*x^3+a)*ln(b*x^3+a)/a^5/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^4/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,-4/3*b/a^5/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/12*b/a^2/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-2/9*b/a^3/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/2*b/a^4/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/3*(b*x^3+a)/a^5/x^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5*b*(b*x^3+a)*ln(x)/a^6/sqrt(b^2*x^6+2*a*b*x^3+a^2)+5/3*b*(b*x^3+a)*ln(b*x^3+a)/a^6/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^7/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,11,5/243*x^2/a^2/b^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/12*x^5/b/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/108*x^2/b^2/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+5/324*x^2/a/b^2/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/243*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)/b^(8/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/729*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(7/3)/b^(8/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+5/1458*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(7/3)/b^(8/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^6/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,11,5/486*x/a^2/b^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/12*x^4/b/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/27*x/b^2/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/162*x/a/b^2/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/243*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(8/3)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+5/729*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(8/3)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/1458*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(8/3)/b^(7/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^4/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,11,7/243*x^2/a^3/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/12*x^2/b/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/54*x^2/a/b/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+7/324*x^2/a^2/b/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-7/243*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(10/3)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-7/729*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(10/3)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+7/1458*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(10/3)/b^(5/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x^3/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,11,5/243*x/a^3/b/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/12*x/b/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/108*x/a/b/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/81*x/a^2/b/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-10/243*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(11/3)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+10/729*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(11/3)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-5/729*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(11/3)/b^(4/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[x/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,11,35/243*x^2/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/12*x^2/a/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+5/54*x^2/a^2/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+35/324*x^2/a^3/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-35/243*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(13/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-35/729*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(13/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+35/1458*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(13/3)/b^(2/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,11,55/243*x/a^4/sqrt(b^2*x^6+2*a*b*x^3+a^2)+1/12*x/a/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)+11/108*x/a^2/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+11/81*x/a^3/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-110/243*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(14/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+110/729*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(14/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-55/729*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(14/3)/b^(1/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^2/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,14,-212/243*b*x^2/a^5/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/12*b*x^2/a^2/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-11/54*b*x^2/a^3/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)-131/324*b*x^2/a^4/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-(b*x^3+a)/a^5/x/sqrt(b^2*x^6+2*a*b*x^3+a^2)+455/243*b^(1/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(16/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+455/729*b^(1/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(16/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-455/1458*b^(1/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(16/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[1/x^3/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,12,-527/486*b*x/a^5/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/12*b*x/a^2/(b*x^3+a)^3/sqrt(b^2*x^6+2*a*b*x^3+a^2)-23/108*b*x/a^3/(b*x^3+a)^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)-73/162*b*x/a^4/(b*x^3+a)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-1/2*(b*x^3+a)/a^5/x^2/sqrt(b^2*x^6+2*a*b*x^3+a^2)+770/243*b^(2/3)*(b*x^3+a)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(17/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)-770/729*b^(2/3)*(b*x^3+a)*ln(a^(1/3)+b^(1/3)*x)/a^(17/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2)+385/729*b^(2/3)*(b*x^3+a)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(17/3)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[(d*x)^m*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,4,a^5*(d*x)^(1+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d/(1+m)/(b*x^3+a)+5*a^4*b*(d*x)^(4+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^4/(4+m)/(b*x^3+a)+10*a^3*b^2*(d*x)^(7+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^7/(7+m)/(b*x^3+a)+10*a^2*b^3*(d*x)^(10+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^10/(10+m)/(b*x^3+a)+5*a*b^4*(d*x)^(13+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^13/(13+m)/(b*x^3+a)+b^5*(d*x)^(16+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^16/(16+m)/(b*x^3+a),1],
[(d*x)^m*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,4,a^3*(d*x)^(1+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d/(1+m)/(b*x^3+a)+3*a^2*b*(d*x)^(4+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^4/(4+m)/(b*x^3+a)+3*a*b^2*(d*x)^(7+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^7/(7+m)/(b*x^3+a)+b^3*(d*x)^(10+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^10/(10+m)/(b*x^3+a),1],
[(d*x)^m*sqrt(b^2*x^6+2*a*b*x^3+a^2),x,4,a*(d*x)^(1+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d/(1+m)/(b*x^3+a)+b*(d*x)^(4+m)*sqrt(b^2*x^6+2*a*b*x^3+a^2)/d^4/(4+m)/(b*x^3+a),1],
[(d*x)^m/sqrt(b^2*x^6+2*a*b*x^3+a^2),x,3,(d*x)^(1+m)*(b*x^3+a)*hypergeom([1, 1/3+1/3*m],[4/3+1/3*m],-b*x^3/a)/a/d/(1+m)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[(d*x)^m/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x,3,(d*x)^(1+m)*(b*x^3+a)*hypergeom([3, 1/3+1/3*m],[4/3+1/3*m],-b*x^3/a)/a^3/d/(1+m)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[(d*x)^m/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x,3,(d*x)^(1+m)*(b*x^3+a)*hypergeom([5, 1/3+1/3*m],[4/3+1/3*m],-b*x^3/a)/a^5/d/(1+m)/sqrt(b^2*x^6+2*a*b*x^3+a^2),1],
[(d*x)^m*(b^2*x^6+2*a*b*x^3+a^2)^p,x,3,(d*x)^(1+m)*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([1/3+1/3*m, -2*p],[4/3+1/3*m],-b*x^3/a)/d/(1+m)/((1+b*x^3/a)^(2*p)),1],
[x^11*(b^2*x^6+2*a*b*x^3+a^2)^p,x,4,-1/3*a^3*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p/b^4/(1+2*p)+1/2*a^2*(b*x^3+a)^2*(b^2*x^6+2*a*b*x^3+a^2)^p/b^4/(p+1)-a*(b*x^3+a)^3*(b^2*x^6+2*a*b*x^3+a^2)^p/b^4/(3+2*p)+1/6*(b*x^3+a)^4*(b^2*x^6+2*a*b*x^3+a^2)^p/b^4/(2+p),1],
[x^8*(b^2*x^6+2*a*b*x^3+a^2)^p,x,4,1/3*a^2*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p/b^3/(1+2*p)-1/3*a*(b*x^3+a)^2*(b^2*x^6+2*a*b*x^3+a^2)^p/b^3/(p+1)+1/3*(b*x^3+a)^3*(b^2*x^6+2*a*b*x^3+a^2)^p/b^3/(3+2*p),1],
[x^5*(b^2*x^6+2*a*b*x^3+a^2)^p,x,4,-1/3*a*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p/b^2/(1+2*p)+1/6*(b^2*x^6+2*a*b*x^3+a^2)^(p+1)/b^2/(p+1),1],
[x^4*(b^2*x^6+2*a*b*x^3+a^2)^p,x,2,1/5*x^5*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([5/3, -2*p],[8/3],-b*x^3/a)/((1+b*x^3/a)^(2*p)),1],
[x^3*(b^2*x^6+2*a*b*x^3+a^2)^p,x,2,1/4*x^4*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([4/3, -2*p],[7/3],-b*x^3/a)/((1+b*x^3/a)^(2*p)),1],
[x^2*(b^2*x^6+2*a*b*x^3+a^2)^p,x,3,1/3*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p/b/(1+2*p),1],
[x*(b^2*x^6+2*a*b*x^3+a^2)^p,x,2,1/2*x^2*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([1, 5/3+2*p],[5/3],-b*x^3/a)/a,1],
[(b^2*x^6+2*a*b*x^3+a^2)^p,x,2,x*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([1, 4/3+2*p],[4/3],-b*x^3/a)/a,1],
[(b^2*x^6+2*a*b*x^3+a^2)^p/x,x,3,-1/3*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([1, 1+2*p],[2*p+2],1+b*x^3/a)/a/(1+2*p),1],
[(b^2*x^6+2*a*b*x^3+a^2)^p/x^2,x,2,-(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([-1/3, -2*p],[2/3],-b*x^3/a)/x/((1+b*x^3/a)^(2*p)),1],
[(b^2*x^6+2*a*b*x^3+a^2)^p/x^3,x,2,-1/2*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([-2/3, -2*p],[1/3],-b*x^3/a)/x^2/((1+b*x^3/a)^(2*p)),1],
[(b^2*x^6+2*a*b*x^3+a^2)^p/x^4,x,3,1/3*b*(b*x^3+a)*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([2, 1+2*p],[2*p+2],1+b*x^3/a)/a^2/(1+2*p),1],
[(b^2*x^6+2*a*b*x^3+a^2)^p/x^5,x,2,-1/4*(b^2*x^6+2*a*b*x^3+a^2)^p*hypergeom([-4/3, -2*p],[-1/3],-b*x^3/a)/x^4/((1+b*x^3/a)^(2*p)),1],
[x^8/(c*x^6+b*x^3+a),x,7,1/3*x^3/c-1/3*(-2*a*c+b^2)*arctanh((2*c*x^3+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)-1/6*b*ln(c*x^6+b*x^3+a)/c^2,1],
[x^5/(c*x^6+b*x^3+a),x,5,1/3*b*arctanh((2*c*x^3+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/6*ln(c*x^6+b*x^3+a)/c,1],
[x^2/(c*x^6+b*x^3+a),x,3,-2/3*arctanh((2*c*x^3+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[1/x/(c*x^6+b*x^3+a),x,6,1/3*b*arctanh((2*c*x^3+b)/sqrt(-4*a*c+b^2))/a/sqrt(-4*a*c+b^2)+ln(x)/a-1/6*ln(c*x^6+b*x^3+a)/a,1],
[1/x^4/(c*x^6+b*x^3+a),x,8,-1/3/a/x^3-1/3*(-2*a*c+b^2)*arctanh((2*c*x^3+b)/sqrt(-4*a*c+b^2))/a^2/sqrt(-4*a*c+b^2)-b*ln(x)/a^2+1/6*b*ln(c*x^6+b*x^3+a)/a^2,1],
[x^7/(c*x^6+b*x^3+a),x,15,1/2*x^2/c+1/2*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/c^(5/3)/(b-sqrt(-4*a*c+b^2))^(1/3)+1/2*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/c^(5/3)/(b+sqrt(-4*a*c+b^2))^(1/3)+1/6*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(1/3)/c^(5/3)/(b-sqrt(-4*a*c+b^2))^(1/3)+1/6*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(1/3)/c^(5/3)/(b+sqrt(-4*a*c+b^2))^(1/3)-1/12*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/c^(5/3)/(b-sqrt(-4*a*c+b^2))^(1/3)-1/12*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/c^(5/3)/(b+sqrt(-4*a*c+b^2))^(1/3),1],
[x^6/(c*x^6+b*x^3+a),x,15,x/c+1/2*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(2/3)/sqrt(3)/c^(4/3)/(b-sqrt(-4*a*c+b^2))^(2/3)+1/2*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(2/3)/sqrt(3)/c^(4/3)/(b+sqrt(-4*a*c+b^2))^(2/3)-1/6*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(2/3)/c^(4/3)/(b-sqrt(-4*a*c+b^2))^(2/3)-1/6*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(2/3)/c^(4/3)/(b+sqrt(-4*a*c+b^2))^(2/3)+1/12*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/c^(4/3)/(b-sqrt(-4*a*c+b^2))^(2/3)+1/12*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/c^(4/3)/(b+sqrt(-4*a*c+b^2))^(2/3),1],
[x^4/(c*x^6+b*x^3+a),x,13,1/2*(b-sqrt(-4*a*c+b^2))^(2/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/c^(2/3)/sqrt(-4*a*c+b^2)-1/2*(b+sqrt(-4*a*c+b^2))^(2/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/c^(2/3)/sqrt(-4*a*c+b^2)+1/6*(b-sqrt(-4*a*c+b^2))^(2/3)*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(1/3)/c^(2/3)/sqrt(-4*a*c+b^2)-1/6*(b+sqrt(-4*a*c+b^2))^(2/3)*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(1/3)/c^(2/3)/sqrt(-4*a*c+b^2)-1/12*(b-sqrt(-4*a*c+b^2))^(2/3)*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/c^(2/3)/sqrt(-4*a*c+b^2)+1/12*(b+sqrt(-4*a*c+b^2))^(2/3)*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/c^(2/3)/sqrt(-4*a*c+b^2),1],
[x^3/(c*x^6+b*x^3+a),x,13,1/2*(b-sqrt(-4*a*c+b^2))^(1/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(2/3)/sqrt(3)/c^(1/3)/sqrt(-4*a*c+b^2)-1/2*(b+sqrt(-4*a*c+b^2))^(1/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(2/3)/sqrt(3)/c^(1/3)/sqrt(-4*a*c+b^2)-1/6*(b-sqrt(-4*a*c+b^2))^(1/3)*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(2/3)/c^(1/3)/sqrt(-4*a*c+b^2)+1/6*(b+sqrt(-4*a*c+b^2))^(1/3)*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(2/3)/c^(1/3)/sqrt(-4*a*c+b^2)+1/12*(b-sqrt(-4*a*c+b^2))^(1/3)*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/c^(1/3)/sqrt(-4*a*c+b^2)-1/12*(b+sqrt(-4*a*c+b^2))^(1/3)*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/c^(1/3)/sqrt(-4*a*c+b^2),1],
[x/(c*x^6+b*x^3+a),x,13,-2^(1/3)*c^(1/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))/sqrt(3)/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))/sqrt(3)/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))^(1/3)-1/3*2^(1/3)*c^(1/3)*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))^(1/3)+1/3*2^(1/3)*c^(1/3)*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))^(1/3)+1/6*c^(1/3)*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))^(1/3)-1/6*c^(1/3)*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))^(1/3),1],
[1/(c*x^6+b*x^3+a),x,13,-2^(2/3)*c^(2/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))/sqrt(3)/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))^(2/3)+2^(2/3)*c^(2/3)*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))/sqrt(3)/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))^(2/3)+1/3*2^(2/3)*c^(2/3)*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))^(2/3)-1/3*2^(2/3)*c^(2/3)*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))^(2/3)-1/6*c^(2/3)*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))^(2/3)+1/6*c^(2/3)*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))^(2/3),1],
[1/x^2/(c*x^6+b*x^3+a),x,15,-1/a/x+1/2*c^(1/3)*(1+b/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a/(b-sqrt(-4*a*c+b^2))^(1/3)+1/2*c^(1/3)*(1-b/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a/(b+sqrt(-4*a*c+b^2))^(1/3)+1/6*c^(1/3)*(1+b/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(1/3)/a/(b-sqrt(-4*a*c+b^2))^(1/3)+1/6*c^(1/3)*(1-b/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(1/3)/a/(b+sqrt(-4*a*c+b^2))^(1/3)-1/12*c^(1/3)*(1+b/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/a/(b-sqrt(-4*a*c+b^2))^(1/3)-1/12*c^(1/3)*(1-b/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(1/3)/a/(b+sqrt(-4*a*c+b^2))^(1/3),1],
[1/x^3/(c*x^6+b*x^3+a),x,15,-1/2/a/x^2+1/2*c^(2/3)*(1+b/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b-sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(2/3)/sqrt(3)/a/(b-sqrt(-4*a*c+b^2))^(2/3)+1/2*c^(2/3)*(1-b/sqrt(-4*a*c+b^2))*arctan((1-2*2^(1/3)*c^(1/3)*x/(b+sqrt(-4*a*c+b^2))^(1/3))/sqrt(3))*2^(2/3)/sqrt(3)/a/(b+sqrt(-4*a*c+b^2))^(2/3)-1/6*c^(2/3)*(1+b/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(2/3)/a/(b-sqrt(-4*a*c+b^2))^(2/3)-1/6*c^(2/3)*(1-b/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(1/3)+2^(1/3)*c^(1/3)*x)*2^(2/3)/a/(b+sqrt(-4*a*c+b^2))^(2/3)+1/12*c^(2/3)*(1+b/sqrt(-4*a*c+b^2))*ln((b-sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b-sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/a/(b-sqrt(-4*a*c+b^2))^(2/3)+1/12*c^(2/3)*(1-b/sqrt(-4*a*c+b^2))*ln((b+sqrt(-4*a*c+b^2))^(2/3)-2^(1/3)*c^(1/3)*(b+sqrt(-4*a*c+b^2))^(1/3)*x+2^(2/3)*c^(2/3)*x^2)*2^(2/3)/a/(b+sqrt(-4*a*c+b^2))^(2/3),1],
[x^11/(x^6+4*x^3+3),x,3,-4/3*x^3+1/6*x^6-1/6*ln(x^3+1)+9/2*ln(x^3+3),1],
[x^8/(x^6+4*x^3+3),x,3,1/3*x^3+1/6*ln(x^3+1)-3/2*ln(x^3+3),1],
[x^5/(x^6+4*x^3+3),x,3,-1/6*ln(x^3+1)+1/2*ln(x^3+3),1],
[x^2/(x^6+4*x^3+3),x,4,-1/3*arctanh(x^3+2),1],
[1/x/(x^6+4*x^3+3),x,4,1/3*ln(x)-1/6*ln(x^3+1)+1/18*ln(x^3+3),1],
[1/x^4/(x^6+4*x^3+3),x,3,-1/9/x^3-4/9*ln(x)+1/6*ln(x^3+1)-1/54*ln(x^3+3),1],
[1/x^7/(x^6+4*x^3+3),x,3,-1/18/x^6+4/27/x^3+13/27*ln(x)-1/6*ln(x^3+1)+1/162*ln(x^3+3),1],
[x^10/(x^6+4*x^3+3),x,15,-2*x^2+1/5*x^5+1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)-9/2*3^(1/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))+1/6*ln(1+x)-3/2*3^(2/3)*ln(3^(1/3)+x)-1/12*ln(x^2-x+1)+3/4*3^(2/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[x^9/(x^6+4*x^3+3),x,15,-4*x+1/4*x^4+1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)-3/2*3^(5/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))-1/6*ln(1+x)+3/2*3^(1/3)*ln(3^(1/3)+x)+1/12*ln(x^2-x+1)-3/4*3^(1/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[x^7/(x^6+4*x^3+3),x,15,1/2*x^2-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+3/2*3^(1/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))-1/6*ln(1+x)+1/2*3^(2/3)*ln(3^(1/3)+x)+1/12*ln(x^2-x+1)-1/4*3^(2/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[x^6/(x^6+4*x^3+3),x,15,x-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*3^(5/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))+1/6*ln(1+x)-1/2*3^(1/3)*ln(3^(1/3)+x)-1/12*ln(x^2-x+1)+1/4*3^(1/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[x^4/(x^6+4*x^3+3),x,13,1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/2*3^(1/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))+1/6*ln(1+x)-1/6*3^(2/3)*ln(3^(1/3)+x)-1/12*ln(x^2-x+1)+1/12*3^(2/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[x^3/(x^6+4*x^3+3),x,13,1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/6*3^(5/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))-1/6*ln(1+x)+1/6*3^(1/3)*ln(3^(1/3)+x)+1/12*ln(x^2-x+1)-1/12*3^(1/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[x/(x^6+4*x^3+3),x,13,-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/6*3^(1/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))-1/6*ln(1+x)+1/18*3^(2/3)*ln(3^(1/3)+x)+1/12*ln(x^2-x+1)-1/36*3^(2/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[1/(x^6+4*x^3+3),x,13,-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/18*3^(5/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))+1/6*ln(1+x)-1/18*3^(1/3)*ln(3^(1/3)+x)-1/12*ln(x^2-x+1)+1/36*3^(1/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[1/x^2/(x^6+4*x^3+3),x,15,-1/3/x+1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/18*3^(1/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))+1/6*ln(1+x)-1/54*3^(2/3)*ln(3^(1/3)+x)-1/12*ln(x^2-x+1)+1/108*3^(2/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[1/x^3/(x^6+4*x^3+3),x,15,-1/6/x^2+1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/54*3^(5/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))-1/6*ln(1+x)+1/54*3^(1/3)*ln(3^(1/3)+x)+1/12*ln(x^2-x+1)-1/108*3^(1/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[1/x^5/(x^6+4*x^3+3),x,15,-1/12/x^4+4/9/x-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/54*3^(1/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))-1/6*ln(1+x)+1/162*3^(2/3)*ln(3^(1/3)+x)+1/12*ln(x^2-x+1)-1/324*3^(2/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[1/x^6/(x^6+4*x^3+3),x,15,-1/15/x^5+2/9/x^2-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/162*3^(5/6)*arctan(1/3*(3^(1/3)-2*x)*3^(1/6))+1/6*ln(1+x)-1/162*3^(1/3)*ln(3^(1/3)+x)-1/12*ln(x^2-x+1)+1/324*3^(1/3)*ln(3^(2/3)-3^(1/3)*x+x^2),1],
[x^6/(x^6-x^3+1),x,15,x+1/6*(I-sqrt(3))*arctan((1+2*x/(1/2-1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(2/3)/(1-I*sqrt(3))^(2/3)-1/6*(I+sqrt(3))*arctan((1+2*x/(1/2+1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(2/3)/(1+I*sqrt(3))^(2/3)+1/18*(3-I*sqrt(3))*ln((1-I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(2/3)/(1-I*sqrt(3))^(2/3)+1/18*(3+I*sqrt(3))*ln((1+I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(2/3)/(1+I*sqrt(3))^(2/3)-1/36*(3-I*sqrt(3))*ln((1-I*sqrt(3))^(2/3)+(2-2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1-I*sqrt(3))^(2/3)-1/36*(3+I*sqrt(3))*ln((1+I*sqrt(3))^(2/3)+(2+2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1+I*sqrt(3))^(2/3),1],
[x^5/(x^6-x^3+1),x,5,-1/3*arctan((-2*x^3+1)/sqrt(3))/sqrt(3)+1/6*ln(x^6-x^3+1),1],
[x^4/(x^6-x^3+1),x,13,1/6*(I+sqrt(3))*arctan((1+2*x/(1/2-1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(1/3)/(1-I*sqrt(3))^(1/3)-1/6*(I-sqrt(3))*arctan((1+2*x/(1/2+1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(1/3)/(1+I*sqrt(3))^(1/3)+1/18*(3+I*sqrt(3))*ln((1-I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(1/3)/(1-I*sqrt(3))^(1/3)+1/18*(3-I*sqrt(3))*ln((1+I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(1/3)/(1+I*sqrt(3))^(1/3)-1/36*(3+I*sqrt(3))*ln((1-I*sqrt(3))^(2/3)+(2-2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/(1-I*sqrt(3))^(1/3)-1/36*(3-I*sqrt(3))*ln((1+I*sqrt(3))^(2/3)+(2+2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/(1+I*sqrt(3))^(1/3),1],
[x^3/(x^6-x^3+1),x,13,-1/6*(I+sqrt(3))*arctan((1+2*x/(1/2-1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(2/3)/(1-I*sqrt(3))^(2/3)+1/6*(I-sqrt(3))*arctan((1+2*x/(1/2+1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(2/3)/(1+I*sqrt(3))^(2/3)+1/18*(3+I*sqrt(3))*ln((1-I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(2/3)/(1-I*sqrt(3))^(2/3)+1/18*(3-I*sqrt(3))*ln((1+I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(2/3)/(1+I*sqrt(3))^(2/3)-1/36*(3+I*sqrt(3))*ln((1-I*sqrt(3))^(2/3)+(2-2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1-I*sqrt(3))^(2/3)-1/36*(3-I*sqrt(3))*ln((1+I*sqrt(3))^(2/3)+(2+2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1+I*sqrt(3))^(2/3),1],
[x^2/(x^6-x^3+1),x,3,-2/3*arctan((-2*x^3+1)/sqrt(3))/sqrt(3),1],
[x/(x^6-x^3+1),x,13,1/3*I*arctan((1+2*x/(1/2-1/2*I*sqrt(3))^(1/3))/sqrt(3))/(1/2-1/2*I*sqrt(3))^(1/3)-1/3*I*arctan((1+2*x/(1/2+1/2*I*sqrt(3))^(1/3))/sqrt(3))/(1/2+1/2*I*sqrt(3))^(1/3)+1/3*I*ln((1-I*sqrt(3))^(1/3)-2^(1/3)*x)/sqrt(3)/(1/2-1/2*I*sqrt(3))^(1/3)-1/3*I*ln((1+I*sqrt(3))^(1/3)-2^(1/3)*x)/sqrt(3)/(1/2+1/2*I*sqrt(3))^(1/3)-1/6*I*ln((1-I*sqrt(3))^(2/3)+(2-2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/sqrt(3)/(1-I*sqrt(3))^(1/3)+1/6*I*ln((1+I*sqrt(3))^(2/3)+(2+2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/sqrt(3)/(1+I*sqrt(3))^(1/3),1],
[1/(x^6-x^3+1),x,13,-1/3*(-1)^(13/18)*arctan((1+2*(-1)^(1/9)*x)/sqrt(3))+1/3*(-1)^(5/18)*arctan((1-2*(-1)^(8/9)*x)/sqrt(3))-1/9*(-1)^(5/18)*(ln(2)+3*ln((-1)^(1/9)-x))/sqrt(3)+1/3*(-1)^(13/18)*ln(-2^(1/3)*((-1)^(8/9)+x))/sqrt(3)-1/6*(-1)^(13/18)*ln(-2^(2/3)*((-1)^(7/9)+((-1)^(8/9)-x)*x))/sqrt(3)+1/6*(-1)^(5/18)*ln(2^(2/3)*((-1)^(2/9)+x*((-1)^(1/9)+x)))/sqrt(3),1],
[1/x/(x^6-x^3+1),x,6,-1/3*arctan((-2*x^3+1)/sqrt(3))/sqrt(3)+ln(x)-1/6*ln(x^6-x^3+1),1],
[1/x^2/(x^6-x^3+1),x,15,-1/x+1/6*(I-sqrt(3))*arctan((1+2*x/(1/2-1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(1/3)/(1-I*sqrt(3))^(1/3)-1/6*(I+sqrt(3))*arctan((1+2*x/(1/2+1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(1/3)/(1+I*sqrt(3))^(1/3)-1/18*(3-I*sqrt(3))*ln((1-I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(1/3)/(1-I*sqrt(3))^(1/3)-1/18*(3+I*sqrt(3))*ln((1+I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(1/3)/(1+I*sqrt(3))^(1/3)+1/36*(3-I*sqrt(3))*ln((1-I*sqrt(3))^(2/3)+(2-2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/(1-I*sqrt(3))^(1/3)+1/36*(3+I*sqrt(3))*ln((1+I*sqrt(3))^(2/3)+(2+2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/(1+I*sqrt(3))^(1/3),1],
[1/x^3/(x^6-x^3+1),x,15,-1/2/x^2-1/6*(I-sqrt(3))*arctan((1+2*x/(1/2-1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(2/3)/(1-I*sqrt(3))^(2/3)+1/6*(I+sqrt(3))*arctan((1+2*x/(1/2+1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(2/3)/(1+I*sqrt(3))^(2/3)-1/18*(3-I*sqrt(3))*ln((1-I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(2/3)/(1-I*sqrt(3))^(2/3)-1/18*(3+I*sqrt(3))*ln((1+I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(2/3)/(1+I*sqrt(3))^(2/3)+1/36*(3-I*sqrt(3))*ln((1-I*sqrt(3))^(2/3)+(2-2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1-I*sqrt(3))^(2/3)+1/36*(3+I*sqrt(3))*ln((1+I*sqrt(3))^(2/3)+(2+2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1+I*sqrt(3))^(2/3),1],
[1/x^4/(x^6-x^3+1),x,8,-1/3/x^3+1/3*arctan((-2*x^3+1)/sqrt(3))/sqrt(3)+ln(x)-1/6*ln(x^6-x^3+1),1],
[1/x^5/(x^6-x^3+1),x,15,-1/4/x^4-1/x-1/6*(I+sqrt(3))*arctan((1+2*x/(1/2-1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(1/3)/(1-I*sqrt(3))^(1/3)+1/6*(I-sqrt(3))*arctan((1+2*x/(1/2+1/2*I*sqrt(3))^(1/3))/sqrt(3))*2^(1/3)/(1+I*sqrt(3))^(1/3)-1/18*(3+I*sqrt(3))*ln((1-I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(1/3)/(1-I*sqrt(3))^(1/3)-1/18*(3-I*sqrt(3))*ln((1+I*sqrt(3))^(1/3)-2^(1/3)*x)*2^(1/3)/(1+I*sqrt(3))^(1/3)+1/36*(3+I*sqrt(3))*ln((1-I*sqrt(3))^(2/3)+(2-2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/(1-I*sqrt(3))^(1/3)+1/36*(3-I*sqrt(3))*ln((1+I*sqrt(3))^(2/3)+(2+2*I*sqrt(3))^(1/3)*x+2^(2/3)*x^2)*2^(1/3)/(1+I*sqrt(3))^(1/3),1],
[1/(x^6+x^3+2),x,13,I*arctan((1-2*x/(1/2-1/2*I*sqrt(7))^(1/3))/sqrt(3))/sqrt(21)/(1/2-1/2*I*sqrt(7))^(2/3)-I*arctan((1-2*x/(1/2+1/2*I*sqrt(7))^(1/3))/sqrt(3))/sqrt(21)/(1/2+1/2*I*sqrt(7))^(2/3)-1/3*I*ln((1-I*sqrt(7))^(1/3)+2^(1/3)*x)/sqrt(7)/(1/2-1/2*I*sqrt(7))^(2/3)+1/3*I*ln((1+I*sqrt(7))^(1/3)+2^(1/3)*x)/sqrt(7)/(1/2+1/2*I*sqrt(7))^(2/3)+1/6*I*ln((1-I*sqrt(7))^(2/3)-(2-2*I*sqrt(7))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/sqrt(7)/(1-I*sqrt(7))^(2/3)-1/6*I*ln((1+I*sqrt(7))^(2/3)-(2+2*I*sqrt(7))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/sqrt(7)/(1+I*sqrt(7))^(2/3),1],
[x^2/(x^6+x^3+2),x,3,2/3*arctan((2*x^3+1)/sqrt(7))/sqrt(7),1],
[x^3/(x^6+x^3+2),x,13,-I*(1/2-1/2*I*sqrt(7))^(1/3)*arctan((1-2*x/(1/2-1/2*I*sqrt(7))^(1/3))/sqrt(3))/sqrt(21)+I*(1/2+1/2*I*sqrt(7))^(1/3)*arctan((1-2*x/(1/2+1/2*I*sqrt(7))^(1/3))/sqrt(3))/sqrt(21)+1/42*(7+I*sqrt(7))*ln((1-I*sqrt(7))^(1/3)+2^(1/3)*x)*2^(2/3)/(1-I*sqrt(7))^(2/3)+1/42*(7-I*sqrt(7))*ln((1+I*sqrt(7))^(1/3)+2^(1/3)*x)*2^(2/3)/(1+I*sqrt(7))^(2/3)-1/84*(7+I*sqrt(7))*ln((1-I*sqrt(7))^(2/3)-(2-2*I*sqrt(7))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1-I*sqrt(7))^(2/3)-1/84*(7-I*sqrt(7))*ln((1+I*sqrt(7))^(2/3)-(2+2*I*sqrt(7))^(1/3)*x+2^(2/3)*x^2)*2^(2/3)/(1+I*sqrt(7))^(2/3),1],
[x^14*sqrt(c*x^6+b*x^3+a),x,7,1/1536*(16*a^2*c^2-56*a*b^2*c+21*b^4)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^5-1/20*b*x^6*(c*x^6+b*x^3+a)^(3/2)/c^2+1/18*x^9*(c*x^6+b*x^3+a)^(3/2)/c-1/2880*(7*b*(-28*a*c+15*b^2)-6*c*(-20*a*c+21*b^2)*x^3)*(c*x^6+b*x^3+a)^(3/2)/c^4-1/3072*(-4*a*c+b^2)*(16*a^2*c^2-56*a*b^2*c+21*b^4)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(11/2),1],
[x^11*sqrt(c*x^6+b*x^3+a),x,6,-1/384*b*(-12*a*c+7*b^2)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^4+1/15*x^6*(c*x^6+b*x^3+a)^(3/2)/c+1/720*(-42*b*c*x^3-32*a*c+35*b^2)*(c*x^6+b*x^3+a)^(3/2)/c^3+1/768*b*(-12*a*c+7*b^2)*(-4*a*c+b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(9/2),1],
[x^8*sqrt(c*x^6+b*x^3+a),x,6,1/192*(-4*a*c+5*b^2)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^3-5/72*b*(c*x^6+b*x^3+a)^(3/2)/c^2+1/12*x^3*(c*x^6+b*x^3+a)^(3/2)/c-1/384*(-4*a*c+b^2)*(-4*a*c+5*b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(7/2),1],
[x^5*sqrt(c*x^6+b*x^3+a),x,5,-1/24*b*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^2+1/9*(c*x^6+b*x^3+a)^(3/2)/c+1/48*b*(-4*a*c+b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(5/2),1],
[x^2*sqrt(c*x^6+b*x^3+a),x,4,1/12*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c-1/24*(-4*a*c+b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(3/2),1],
[sqrt(c*x^6+b*x^3+a)/x,x,7,1/3*sqrt(c*x^6+b*x^3+a)-1/3*sqrt(a)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))+1/6*b*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/sqrt(c),1],
[sqrt(c*x^6+b*x^3+a)/x^4,x,7,-1/3*sqrt(c*x^6+b*x^3+a)/x^3-1/6*b*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/sqrt(a)+1/3*sqrt(c)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a)),1],
[sqrt(c*x^6+b*x^3+a)/x^7,x,4,-1/12*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a/x^6+1/24*(-4*a*c+b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(3/2),1],
[sqrt(c*x^6+b*x^3+a)/x^10,x,5,1/24*b*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a^2/x^6-1/9*(c*x^6+b*x^3+a)^(3/2)/a/x^9-1/48*b*(-4*a*c+b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(5/2),1],
[sqrt(c*x^6+b*x^3+a)/x^13,x,6,-1/192*(-4*a*c+5*b^2)*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a^3/x^6-1/12*(c*x^6+b*x^3+a)^(3/2)/a/x^12+5/72*b*(c*x^6+b*x^3+a)^(3/2)/a^2/x^9+1/384*(-4*a*c+b^2)*(-4*a*c+5*b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(7/2),1],
[sqrt(c*x^6+b*x^3+a)/x^16,x,7,1/384*b*(-12*a*c+7*b^2)*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a^4/x^6-1/15*(c*x^6+b*x^3+a)^(3/2)/a/x^15+7/120*b*(c*x^6+b*x^3+a)^(3/2)/a^2/x^12-1/720*(-32*a*c+35*b^2)*(c*x^6+b*x^3+a)^(3/2)/a^3/x^9-1/768*b*(-12*a*c+7*b^2)*(-4*a*c+b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(9/2),1],
[x^3*sqrt(c*x^6+b*x^3+a),x,3,1/4*x^4*sqrt(c*x^6+b*x^3+a)*AppellF1(4/3,-1/2,-1/2,7/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[x*sqrt(c*x^6+b*x^3+a),x,3,1/2*x^2*sqrt(c*x^6+b*x^3+a)*AppellF1(2/3,-1/2,-1/2,5/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[sqrt(c*x^6+b*x^3+a),x,3,x*sqrt(c*x^6+b*x^3+a)*AppellF1(1/3,-1/2,-1/2,4/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[sqrt(c*x^6+b*x^3+a)/x^2,x,3,-sqrt(c*x^6+b*x^3+a)*AppellF1(-1/3,-1/2,-1/2,2/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[sqrt(c*x^6+b*x^3+a)/x^3,x,3,-1/2*sqrt(c*x^6+b*x^3+a)*AppellF1(-2/3,-1/2,-1/2,1/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x^2/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[x^14*(c*x^6+b*x^3+a)^(3/2),x,8,-1/16384*(-4*a*c+b^2)*(16*a^2*c^2-72*a*b^2*c+33*b^4)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^6+1/6144*(16*a^2*c^2-72*a*b^2*c+33*b^4)*(2*c*x^3+b)*(c*x^6+b*x^3+a)^(3/2)/c^5-11/336*b*x^6*(c*x^6+b*x^3+a)^(5/2)/c^2+1/24*x^9*(c*x^6+b*x^3+a)^(5/2)/c-1/13440*(3*b*(-124*a*c+77*b^2)-10*c*(-28*a*c+33*b^2)*x^3)*(c*x^6+b*x^3+a)^(5/2)/c^4+1/32768*(-4*a*c+b^2)^2*(16*a^2*c^2-72*a*b^2*c+33*b^4)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(13/2),1],
[x^11*(c*x^6+b*x^3+a)^(3/2),x,7,1/1024*b*(-4*a*c+b^2)*(-4*a*c+3*b^2)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^5-1/384*b*(-4*a*c+3*b^2)*(2*c*x^3+b)*(c*x^6+b*x^3+a)^(3/2)/c^4+1/21*x^6*(c*x^6+b*x^3+a)^(5/2)/c+1/840*(-30*b*c*x^3-16*a*c+21*b^2)*(c*x^6+b*x^3+a)^(5/2)/c^3-1/2048*b*(-4*a*c+b^2)^2*(-4*a*c+3*b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(11/2),1],
[x^8*(c*x^6+b*x^3+a)^(3/2),x,7,-1/1536*(-4*a*c+b^2)*(-4*a*c+7*b^2)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^4+1/576*(-4*a*c+7*b^2)*(2*c*x^3+b)*(c*x^6+b*x^3+a)^(3/2)/c^3-7/180*b*(c*x^6+b*x^3+a)^(5/2)/c^2+1/18*x^3*(c*x^6+b*x^3+a)^(5/2)/c+1/3072*(-4*a*c+b^2)^2*(-4*a*c+7*b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(9/2),1],
[x^5*(c*x^6+b*x^3+a)^(3/2),x,6,1/128*b*(-4*a*c+b^2)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^3-1/48*b*(2*c*x^3+b)*(c*x^6+b*x^3+a)^(3/2)/c^2+1/15*(c*x^6+b*x^3+a)^(5/2)/c-1/256*b*(-4*a*c+b^2)^2*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(7/2),1],
[x^2*(c*x^6+b*x^3+a)^(3/2),x,5,-1/64*(-4*a*c+b^2)*(2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/c^2+1/24*(2*c*x^3+b)*(c*x^6+b*x^3+a)^(3/2)/c+1/128*(-4*a*c+b^2)^2*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(5/2),1],
[(c*x^6+b*x^3+a)^(3/2)/x,x,8,1/24*(2*b*c*x^3+8*a*c+b^2)*sqrt(c*x^6+b*x^3+a)/c+1/9*(c*x^6+b*x^3+a)^(3/2)-1/3*a^(3/2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))-1/48*b*(-12*a*c+b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(3/2),1],
[(c*x^6+b*x^3+a)^(3/2)/x^4,x,8,1/4*(2*c*x^3+3*b)*sqrt(c*x^6+b*x^3+a)-1/3*(c*x^6+b*x^3+a)^(3/2)/x^3-1/2*sqrt(a)*b*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))+1/8*(4*a*c+b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/sqrt(c),1],
[(c*x^6+b*x^3+a)^(3/2)/x^7,x,8,-1/4*(-2*c*x^3+b)*sqrt(c*x^6+b*x^3+a)/x^3-1/6*(c*x^6+b*x^3+a)^(3/2)/x^6-1/8*(4*a*c+b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/sqrt(a)+1/2*b*sqrt(c)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a)),1],
[(c*x^6+b*x^3+a)^(3/2)/x^10,x,8,-1/24*(2*a*b+(8*a*c+b^2)*x^3)*sqrt(c*x^6+b*x^3+a)/a/x^6-1/9*(c*x^6+b*x^3+a)^(3/2)/x^9+1/48*b*(-12*a*c+b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(3/2)+1/3*c^(3/2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a)),1],
[(c*x^6+b*x^3+a)^(3/2)/x^13,x,5,1/64*(-4*a*c+b^2)*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a^2/x^6-1/24*(b*x^3+2*a)*(c*x^6+b*x^3+a)^(3/2)/a/x^12-1/128*(-4*a*c+b^2)^2*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(5/2),1],
[(c*x^6+b*x^3+a)^(3/2)/x^16,x,6,-1/128*b*(-4*a*c+b^2)*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a^3/x^6+1/48*b*(b*x^3+2*a)*(c*x^6+b*x^3+a)^(3/2)/a^2/x^12-1/15*(c*x^6+b*x^3+a)^(5/2)/a/x^15+1/256*b*(-4*a*c+b^2)^2*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(7/2),1],
[(c*x^6+b*x^3+a)^(3/2)/x^19,x,7,1/1536*(-4*a*c+b^2)*(-4*a*c+7*b^2)*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a^4/x^6-1/576*(-4*a*c+7*b^2)*(b*x^3+2*a)*(c*x^6+b*x^3+a)^(3/2)/a^3/x^12-1/18*(c*x^6+b*x^3+a)^(5/2)/a/x^18+7/180*b*(c*x^6+b*x^3+a)^(5/2)/a^2/x^15-1/3072*(-4*a*c+b^2)^2*(-4*a*c+7*b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(9/2),1],
[(c*x^6+b*x^3+a)^(3/2)/x^22,x,8,-1/1024*b*(-4*a*c+b^2)*(-4*a*c+3*b^2)*(b*x^3+2*a)*sqrt(c*x^6+b*x^3+a)/a^5/x^6+1/384*b*(-4*a*c+3*b^2)*(b*x^3+2*a)*(c*x^6+b*x^3+a)^(3/2)/a^4/x^12-1/21*(c*x^6+b*x^3+a)^(5/2)/a/x^21+1/28*b*(c*x^6+b*x^3+a)^(5/2)/a^2/x^18-1/840*(-16*a*c+21*b^2)*(c*x^6+b*x^3+a)^(5/2)/a^3/x^15+1/2048*b*(-4*a*c+b^2)^2*(-4*a*c+3*b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(11/2),1],
[x^3*(c*x^6+b*x^3+a)^(3/2),x,3,1/4*a*x^4*sqrt(c*x^6+b*x^3+a)*AppellF1(4/3,-3/2,-3/2,7/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[x*(c*x^6+b*x^3+a)^(3/2),x,3,1/2*a*x^2*sqrt(c*x^6+b*x^3+a)*AppellF1(2/3,-3/2,-3/2,5/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[(c*x^6+b*x^3+a)^(3/2),x,3,a*x*sqrt(c*x^6+b*x^3+a)*AppellF1(1/3,-3/2,-3/2,4/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[(c*x^6+b*x^3+a)^(3/2)/x^2,x,3,-a*sqrt(c*x^6+b*x^3+a)*AppellF1(-1/3,-3/2,-3/2,2/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[(c*x^6+b*x^3+a)^(3/2)/x^3,x,3,-1/2*a*sqrt(c*x^6+b*x^3+a)*AppellF1(-2/3,-3/2,-3/2,1/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x^2/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[x^14/sqrt(c*x^6+b*x^3+a),x,6,-7/72*b*x^6*sqrt(c*x^6+b*x^3+a)/c^2+1/12*x^9*sqrt(c*x^6+b*x^3+a)/c-1/576*(5*b*(-44*a*c+21*b^2)-2*c*(-36*a*c+35*b^2)*x^3)*sqrt(c*x^6+b*x^3+a)/c^4+1/384*(48*a^2*c^2-120*a*b^2*c+35*b^4)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(9/2),1],
[x^11/sqrt(c*x^6+b*x^3+a),x,5,1/9*x^6*sqrt(c*x^6+b*x^3+a)/c+1/72*(-10*b*c*x^3-16*a*c+15*b^2)*sqrt(c*x^6+b*x^3+a)/c^3-1/48*b*(-12*a*c+5*b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(7/2),1],
[x^8/sqrt(c*x^6+b*x^3+a),x,5,-1/4*b*sqrt(c*x^6+b*x^3+a)/c^2+1/6*x^3*sqrt(c*x^6+b*x^3+a)/c+1/24*(-4*a*c+3*b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(5/2),1],
[x^5/sqrt(c*x^6+b*x^3+a),x,4,1/3*sqrt(c*x^6+b*x^3+a)/c-1/6*b*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(3/2),1],
[x^2/sqrt(c*x^6+b*x^3+a),x,3,1/3*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/sqrt(c),1],
[1/x/sqrt(c*x^6+b*x^3+a),x,3,-1/3*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/sqrt(a),1],
[1/x^4/sqrt(c*x^6+b*x^3+a),x,4,-1/3*sqrt(c*x^6+b*x^3+a)/a/x^3+1/6*b*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(3/2),1],
[1/x^7/sqrt(c*x^6+b*x^3+a),x,5,-1/6*sqrt(c*x^6+b*x^3+a)/a/x^6+1/4*b*sqrt(c*x^6+b*x^3+a)/a^2/x^3-1/24*(-4*a*c+3*b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(5/2),1],
[1/x^10/sqrt(c*x^6+b*x^3+a),x,6,-1/9*sqrt(c*x^6+b*x^3+a)/a/x^9+5/36*b*sqrt(c*x^6+b*x^3+a)/a^2/x^6-1/72*(-16*a*c+15*b^2)*sqrt(c*x^6+b*x^3+a)/a^3/x^3+1/48*b*(-12*a*c+5*b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(7/2),1],
[1/x^13/sqrt(c*x^6+b*x^3+a),x,7,-1/12*sqrt(c*x^6+b*x^3+a)/a/x^12+7/72*b*sqrt(c*x^6+b*x^3+a)/a^2/x^9-1/288*(-36*a*c+35*b^2)*sqrt(c*x^6+b*x^3+a)/a^3/x^6+5/576*b*(-44*a*c+21*b^2)*sqrt(c*x^6+b*x^3+a)/a^4/x^3-1/384*(48*a^2*c^2-120*a*b^2*c+35*b^4)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(9/2),1],
[x^3/sqrt(c*x^6+b*x^3+a),x,3,1/4*x^4*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(4/3,1/2,1/2,7/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(c*x^6+b*x^3+a),1],
[x/sqrt(c*x^6+b*x^3+a),x,3,1/2*x^2*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(2/3,1/2,1/2,5/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(c*x^6+b*x^3+a),1],
[1/sqrt(c*x^6+b*x^3+a),x,3,x*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/3,1/2,1/2,4/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/sqrt(c*x^6+b*x^3+a),1],
[1/x^2/sqrt(c*x^6+b*x^3+a),x,3,-sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(-1/3,1/2,1/2,2/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x/sqrt(c*x^6+b*x^3+a),1],
[1/x^3/sqrt(c*x^6+b*x^3+a),x,3,-1/2*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(-2/3,1/2,1/2,1/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x^2/sqrt(c*x^6+b*x^3+a),1],
[x^14/(c*x^6+b*x^3+a)^(3/2),x,6,2/3*x^9*(b*x^3+2*a)/(-4*a*c+b^2)/sqrt(c*x^6+b*x^3+a)-2/3*b*x^6*sqrt(c*x^6+b*x^3+a)/c/(-4*a*c+b^2)-1/12*(b*(-52*a*c+15*b^2)-2*c*(-12*a*c+5*b^2)*x^3)*sqrt(c*x^6+b*x^3+a)/c^3/(-4*a*c+b^2)+1/8*(-4*a*c+5*b^2)*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(7/2),1],
[x^11/(c*x^6+b*x^3+a)^(3/2),x,5,2/3*x^6*(b*x^3+2*a)/(-4*a*c+b^2)/sqrt(c*x^6+b*x^3+a)+1/3*(-2*b*c*x^3-8*a*c+3*b^2)*sqrt(c*x^6+b*x^3+a)/c^2/(-4*a*c+b^2)-1/2*b*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(5/2),1],
[x^8/(c*x^6+b*x^3+a)^(3/2),x,5,2/3*x^3*(b*x^3+2*a)/(-4*a*c+b^2)/sqrt(c*x^6+b*x^3+a)-2/3*b*sqrt(c*x^6+b*x^3+a)/c/(-4*a*c+b^2)+1/3*arctanh(1/2*(2*c*x^3+b)/sqrt(c)/sqrt(c*x^6+b*x^3+a))/c^(3/2),1],
[x^5/(c*x^6+b*x^3+a)^(3/2),x,2,2/3*(b*x^3+2*a)/(-4*a*c+b^2)/sqrt(c*x^6+b*x^3+a),1],
[x^2/(c*x^6+b*x^3+a)^(3/2),x,2,1/3*(-4*c*x^3-2*b)/(-4*a*c+b^2)/sqrt(c*x^6+b*x^3+a),1],
[1/x/(c*x^6+b*x^3+a)^(3/2),x,5,2/3*(b*c*x^3-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(c*x^6+b*x^3+a)-1/3*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(3/2),1],
[1/x^4/(c*x^6+b*x^3+a)^(3/2),x,5,2/3*(b*c*x^3-2*a*c+b^2)/a/(-4*a*c+b^2)/x^3/sqrt(c*x^6+b*x^3+a)-1/3*(-8*a*c+3*b^2)*sqrt(c*x^6+b*x^3+a)/a^2/(-4*a*c+b^2)/x^3+1/2*b*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(5/2),1],
[1/x^7/(c*x^6+b*x^3+a)^(3/2),x,6,2/3*(b*c*x^3-2*a*c+b^2)/a/(-4*a*c+b^2)/x^6/sqrt(c*x^6+b*x^3+a)-1/6*(-12*a*c+5*b^2)*sqrt(c*x^6+b*x^3+a)/a^2/(-4*a*c+b^2)/x^6+1/12*b*(-52*a*c+15*b^2)*sqrt(c*x^6+b*x^3+a)/a^3/(-4*a*c+b^2)/x^3-1/8*(-4*a*c+5*b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(7/2),1],
[1/x^10/(c*x^6+b*x^3+a)^(3/2),x,7,2/3*(b*c*x^3-2*a*c+b^2)/a/(-4*a*c+b^2)/x^9/sqrt(c*x^6+b*x^3+a)-1/9*(-16*a*c+7*b^2)*sqrt(c*x^6+b*x^3+a)/a^2/(-4*a*c+b^2)/x^9+1/36*b*(-116*a*c+35*b^2)*sqrt(c*x^6+b*x^3+a)/a^3/(-4*a*c+b^2)/x^6-1/72*(256*a^2*c^2-460*a*b^2*c+105*b^4)*sqrt(c*x^6+b*x^3+a)/a^4/(-4*a*c+b^2)/x^3+5/48*b*(-12*a*c+7*b^2)*arctanh(1/2*(b*x^3+2*a)/sqrt(a)/sqrt(c*x^6+b*x^3+a))/a^(9/2),1],
[x^3/(c*x^6+b*x^3+a)^(3/2),x,3,1/4*x^4*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(4/3,3/2,3/2,7/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/a/sqrt(c*x^6+b*x^3+a),1],
[x/(c*x^6+b*x^3+a)^(3/2),x,3,1/2*x^2*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(2/3,3/2,3/2,5/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/a/sqrt(c*x^6+b*x^3+a),1],
[1/(c*x^6+b*x^3+a)^(3/2),x,3,x*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/3,3/2,3/2,4/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/a/sqrt(c*x^6+b*x^3+a),1],
[1/x^2/(c*x^6+b*x^3+a)^(3/2),x,3,-sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(-1/3,3/2,3/2,2/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/a/x/sqrt(c*x^6+b*x^3+a),1],
[1/x^3/(c*x^6+b*x^3+a)^(3/2),x,3,-1/2*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(-2/3,3/2,3/2,1/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/a/x^2/sqrt(c*x^6+b*x^3+a),1],
[(d*x)^m*(c*x^6+b*x^3+a)^2,x,3,a^2*(d*x)^(1+m)/d/(1+m)+2*a*b*(d*x)^(4+m)/d^4/(4+m)+(2*a*c+b^2)*(d*x)^(7+m)/d^7/(7+m)+2*b*c*(d*x)^(10+m)/d^10/(10+m)+c^2*(d*x)^(13+m)/d^13/(13+m),1],
[(d*x)^m*(c*x^6+b*x^3+a),x,3,a*(d*x)^(1+m)/d/(1+m)+b*(d*x)^(4+m)/d^4/(4+m)+c*(d*x)^(7+m)/d^7/(7+m),1],
[(d*x)^m/(c*x^6+b*x^3+a),x,4,2*c*(d*x)^(1+m)*hypergeom([1, 1/3+1/3*m],[4/3+1/3*m],-2*c*x^3/(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, 1/3+1/3*m],[4/3+1/3*m],-2*c*x^3/(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^6+b*x^3+a)^2,x,5,1/3*(d*x)^(1+m)*(b*c*x^3-2*a*c+b^2)/a/(-4*a*c+b^2)/d/(c*x^6+b*x^3+a)+1/3*c*(b^2*(2-m)+b*sqrt(-4*a*c+b^2)*(2-m)-4*a*c*(5-m))*(d*x)^(1+m)*hypergeom([1, 1/3+1/3*m],[4/3+1/3*m],-2*c*x^3/(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)-1/3*c*(b^2*(2-m)-b*sqrt(-4*a*c+b^2)*(2-m)-4*a*c*(5-m))*(d*x)^(1+m)*hypergeom([1, 1/3+1/3*m],[4/3+1/3*m],-2*c*x^3/(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^6+b*x^3+a)^(3/2),x,4,a*(d*x)^(1+m)*sqrt(c*x^6+b*x^3+a)*AppellF1(1/3+1/3*m,-3/2,-3/2,4/3+1/3*m,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[(d*x)^m*sqrt(c*x^6+b*x^3+a),x,4,(d*x)^(1+m)*sqrt(c*x^6+b*x^3+a)*AppellF1(1/3+1/3*m,-1/2,-1/2,4/3+1/3*m,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))/sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2))),1],
[(d*x)^m/sqrt(c*x^6+b*x^3+a),x,4,(d*x)^(1+m)*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/3+1/3*m,1/2,1/2,4/3+1/3*m,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/sqrt(c*x^6+b*x^3+a),1],
[(d*x)^m/(c*x^6+b*x^3+a)^(3/2),x,4,(d*x)^(1+m)*sqrt(1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))*AppellF1(1/3+1/3*m,3/2,3/2,4/3+1/3*m,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/a/d/(1+m)/sqrt(c*x^6+b*x^3+a),1],
[(d*x)^m*(c*x^6+b*x^3+a)^p,x,4,(d*x)^(1+m)*(c*x^6+b*x^3+a)^p*AppellF1(1/3+1/3*m,-p,-p,4/3+1/3*m,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[x^8*(c*x^6+b*x^3+a)^p,x,4,-1/6*b*(2+p)*(c*x^6+b*x^3+a)^(p+1)/c^2/(p+1)/(3+2*p)+1/3*x^3*(c*x^6+b*x^3+a)^(p+1)/c/(3+2*p)+1/3*2^p*(2*a*c-b^2*(2+p))*(-(b-sqrt(-4*a*c+b^2)+2*c*x^3)/sqrt(-4*a*c+b^2))^(-1-p)*(c*x^6+b*x^3+a)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(b+sqrt(-4*a*c+b^2)+2*c*x^3)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)/(p+1)/(3+2*p),1],
[x^5*(c*x^6+b*x^3+a)^p,x,3,1/6*(c*x^6+b*x^3+a)^(p+1)/c/(p+1)+1/3*2^p*b*(-(b-sqrt(-4*a*c+b^2)+2*c*x^3)/sqrt(-4*a*c+b^2))^(-1-p)*(c*x^6+b*x^3+a)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(b+sqrt(-4*a*c+b^2)+2*c*x^3)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)/(p+1),1],
[x^2*(c*x^6+b*x^3+a)^p,x,2,-1/3*2^(p+1)*(-(b-sqrt(-4*a*c+b^2)+2*c*x^3)/sqrt(-4*a*c+b^2))^(-1-p)*(c*x^6+b*x^3+a)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(b+sqrt(-4*a*c+b^2)+2*c*x^3)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(p+1),1],
[x^4*(c*x^6+b*x^3+a)^p,x,3,1/5*x^5*(c*x^6+b*x^3+a)^p*AppellF1(5/3,-p,-p,8/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[x^3*(c*x^6+b*x^3+a)^p,x,3,1/4*x^4*(c*x^6+b*x^3+a)^p*AppellF1(4/3,-p,-p,7/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[x*(c*x^6+b*x^3+a)^p,x,3,1/2*x^2*(c*x^6+b*x^3+a)^p*AppellF1(2/3,-p,-p,5/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^6+b*x^3+a)^p,x,3,x*(c*x^6+b*x^3+a)^p*AppellF1(1/3,-p,-p,4/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^6+b*x^3+a)^p/x,x,3,1/3*2^(-1+2*p)*(c*x^6+b*x^3+a)^p*AppellF1(-2*p,-p,-p,1-2*p,-1/2*(b-sqrt(-4*a*c+b^2))/c/x^3,-1/2*(b+sqrt(-4*a*c+b^2))/c/x^3)/p/(((b-sqrt(-4*a*c+b^2)+2*c*x^3)/c/x^3)^p)/(((b+sqrt(-4*a*c+b^2)+2*c*x^3)/c/x^3)^p),1],
[(c*x^6+b*x^3+a)^p/x^2,x,3,-(c*x^6+b*x^3+a)^p*AppellF1(-1/3,-p,-p,2/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^6+b*x^3+a)^p/x^3,x,3,-1/2*(c*x^6+b*x^3+a)^p*AppellF1(-2/3,-p,-p,1/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x^2/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^6+b*x^3+a)^p/x^4,x,3,-1/3*4^p*(c*x^6+b*x^3+a)^p*AppellF1(1-2*p,-p,-p,2-2*p,-1/2*(b-sqrt(-4*a*c+b^2))/c/x^3,-1/2*(b+sqrt(-4*a*c+b^2))/c/x^3)/(1-2*p)/x^3/(((b-sqrt(-4*a*c+b^2)+2*c*x^3)/c/x^3)^p)/(((b+sqrt(-4*a*c+b^2)+2*c*x^3)/c/x^3)^p),1],
[(c*x^6+b*x^3+a)^p/x^5,x,3,-1/4*(c*x^6+b*x^3+a)^p*AppellF1(-4/3,-p,-p,-1/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x^4/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^6+b*x^3+a)^p/x^6,x,3,-1/5*(c*x^6+b*x^3+a)^p*AppellF1(-5/3,-p,-p,-2/3,-2*c*x^3/(b-sqrt(-4*a*c+b^2)),-2*c*x^3/(b+sqrt(-4*a*c+b^2)))/x^5/((1+2*c*x^3/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x^3/(b+sqrt(-4*a*c+b^2)))^p),1],
[(c*x^6+b*x^3+a)^p/x^7,x,3,-1/3*2^(-1+2*p)*(c*x^6+b*x^3+a)^p*AppellF1(2-2*p,-p,-p,3-2*p,-1/2*(b-sqrt(-4*a*c+b^2))/c/x^3,-1/2*(b+sqrt(-4*a*c+b^2))/c/x^3)/(1-p)/x^6/(((b-sqrt(-4*a*c+b^2)+2*c*x^3)/c/x^3)^p)/(((b+sqrt(-4*a*c+b^2)+2*c*x^3)/c/x^3)^p),1]]: