lst:=[[x^2*(C*x^2+B*x+A)*(c*x^4+b*x^2+a),x,2,1/3*a*A*x^3+1/4*a*B*x^4+1/5*(A*b+C*a)*x^5+1/6*b*B*x^6+1/7*(A*c+C*b)*x^7+1/8*B*c*x^8+1/9*c*C*x^9,1],
[x*(C*x^2+B*x+A)*(c*x^4+b*x^2+a),x,2,1/2*a*A*x^2+1/3*a*B*x^3+1/4*(A*b+C*a)*x^4+1/5*b*B*x^5+1/6*(A*c+C*b)*x^6+1/7*B*c*x^7+1/8*c*C*x^8,1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a),x,2,a*A*x+1/2*a*B*x^2+1/3*(A*b+C*a)*x^3+1/4*b*B*x^4+1/5*(A*c+C*b)*x^5+1/6*B*c*x^6+1/7*c*C*x^7,1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x,x,2,a*B*x+1/2*(A*b+C*a)*x^2+1/3*b*B*x^3+1/4*(A*c+C*b)*x^4+1/5*B*c*x^5+1/6*c*C*x^6+a*A*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^2,x,2,-a*A/x+(A*b+C*a)*x+1/2*b*B*x^2+1/3*(A*c+C*b)*x^3+1/4*B*c*x^4+1/5*c*C*x^5+a*B*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^3,x,2,-1/2*a*A/x^2-a*B/x+b*B*x+1/2*(A*c+C*b)*x^2+1/3*B*c*x^3+1/4*c*C*x^4+(A*b+C*a)*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^4,x,2,-1/3*a*A/x^3-1/2*a*B/x^2-(A*b+C*a)/x+(A*c+C*b)*x+1/2*B*c*x^2+1/3*c*C*x^3+b*B*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^5,x,2,-1/4*a*A/x^4-1/3*a*B/x^3-1/2*(A*b+C*a)/x^2-b*B/x+B*c*x+1/2*c*C*x^2+(A*c+C*b)*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^6,x,2,-1/5*a*A/x^5-1/4*a*B/x^4-1/3*(A*b+C*a)/x^3-1/2*b*B/x^2-(A*c+C*b)/x+c*C*x+B*c*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^7,x,2,-1/6*a*A/x^6-1/5*a*B/x^5-1/4*(A*b+C*a)/x^4-1/3*b*B/x^3-1/2*(A*c+C*b)/x^2-B*c/x+c*C*ln(x),1],
[x^2*(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x,2,1/3*a^2*A*x^3+1/4*a^2*B*x^4+1/5*a*(2*A*b+C*a)*x^5+1/3*a*b*B*x^6+1/7*(A*(2*a*c+b^2)+2*a*b*C)*x^7+1/8*B*(2*a*c+b^2)*x^8+1/9*(2*A*b*c+(2*a*c+b^2)*C)*x^9+1/5*b*B*c*x^10+1/11*c*(A*c+2*C*b)*x^11+1/12*B*c^2*x^12+1/13*c^2*C*x^13,1],
[x*(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x,2,1/2*a^2*A*x^2+1/3*a^2*B*x^3+1/4*a*(2*A*b+C*a)*x^4+2/5*a*b*B*x^5+1/6*(A*(2*a*c+b^2)+2*a*b*C)*x^6+1/7*B*(2*a*c+b^2)*x^7+1/8*(2*A*b*c+(2*a*c+b^2)*C)*x^8+2/9*b*B*c*x^9+1/10*c*(A*c+2*C*b)*x^10+1/11*B*c^2*x^11+1/12*c^2*C*x^12,1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x,2,a^2*A*x+1/2*a^2*B*x^2+1/3*a*(2*A*b+C*a)*x^3+1/2*a*b*B*x^4+1/5*(A*(2*a*c+b^2)+2*a*b*C)*x^5+1/6*B*(2*a*c+b^2)*x^6+1/7*(2*A*b*c+(2*a*c+b^2)*C)*x^7+1/4*b*B*c*x^8+1/9*c*(A*c+2*C*b)*x^9+1/10*B*c^2*x^10+1/11*c^2*C*x^11,1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x,x,2,a^2*B*x+1/2*a*(2*A*b+C*a)*x^2+2/3*a*b*B*x^3+1/4*(A*(2*a*c+b^2)+2*a*b*C)*x^4+1/5*B*(2*a*c+b^2)*x^5+1/6*(2*A*b*c+(2*a*c+b^2)*C)*x^6+2/7*b*B*c*x^7+1/8*c*(A*c+2*C*b)*x^8+1/9*B*c^2*x^9+1/10*c^2*C*x^10+a^2*A*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^2,x,2,-a^2*A/x+a*(2*A*b+C*a)*x+a*b*B*x^2+1/3*(A*(2*a*c+b^2)+2*a*b*C)*x^3+1/4*B*(2*a*c+b^2)*x^4+1/5*(2*A*b*c+(2*a*c+b^2)*C)*x^5+1/3*b*B*c*x^6+1/7*c*(A*c+2*C*b)*x^7+1/8*B*c^2*x^8+1/9*c^2*C*x^9+a^2*B*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^3,x,2,-1/2*a^2*A/x^2-a^2*B/x+2*a*b*B*x+1/2*(A*(2*a*c+b^2)+2*a*b*C)*x^2+1/3*B*(2*a*c+b^2)*x^3+1/4*(2*A*b*c+(2*a*c+b^2)*C)*x^4+2/5*b*B*c*x^5+1/6*c*(A*c+2*C*b)*x^6+1/7*B*c^2*x^7+1/8*c^2*C*x^8+a*(2*A*b+C*a)*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^4,x,2,-1/3*a^2*A/x^3-1/2*a^2*B/x^2-a*(2*A*b+C*a)/x+(A*(2*a*c+b^2)+2*a*b*C)*x+1/2*B*(2*a*c+b^2)*x^2+1/3*(2*A*b*c+(2*a*c+b^2)*C)*x^3+1/2*b*B*c*x^4+1/5*c*(A*c+2*C*b)*x^5+1/6*B*c^2*x^6+1/7*c^2*C*x^7+2*a*b*B*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^5,x,2,-1/4*a^2*A/x^4-1/3*a^2*B/x^3-1/2*a*(2*A*b+C*a)/x^2-2*a*b*B/x+B*(2*a*c+b^2)*x+1/2*(2*A*b*c+(2*a*c+b^2)*C)*x^2+2/3*b*B*c*x^3+1/4*c*(A*c+2*C*b)*x^4+1/5*B*c^2*x^5+1/6*c^2*C*x^6+(A*(2*a*c+b^2)+2*a*b*C)*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^6,x,2,-1/5*a^2*A/x^5-1/4*a^2*B/x^4-1/3*a*(2*A*b+C*a)/x^3-a*b*B/x^2-(A*(2*a*c+b^2)+2*a*b*C)/x+(2*A*b*c+(2*a*c+b^2)*C)*x+b*B*c*x^2+1/3*c*(A*c+2*C*b)*x^3+1/4*B*c^2*x^4+1/5*c^2*C*x^5+B*(2*a*c+b^2)*ln(x),1],
[(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^7,x,2,-1/6*a^2*A/x^6-1/5*a^2*B/x^5-1/4*a*(2*A*b+C*a)/x^4-2/3*a*b*B/x^3-1/2*(A*(2*a*c+b^2)+2*a*b*C)/x^2-B*(2*a*c+b^2)/x+2*b*B*c*x+1/2*c*(A*c+2*C*b)*x^2+1/3*B*c^2*x^3+1/4*c^2*C*x^4+(2*A*b*c+(2*a*c+b^2)*C)*ln(x),1],
[x^4*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x,12,(A*c-C*b)*x/c^2+1/2*B*x^2/c+1/3*C*x^3/c-(A*b*c-b^2*C+a*c*C-(A*c*(-2*a*c+b^2)-b*(-3*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)/c^(5/2)/sqrt(b-sqrt(-4*a*c+b^2))-(A*b*c-b^2*C+a*c*C+(A*c*(-2*a*c+b^2)-b*(-3*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)/c^(5/2)/sqrt(b+sqrt(-4*a*c+b^2))-1/2*B*(-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*B*ln(c*x^4+b*x^2+a)/c^2,1],
[x^3*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x,12,B*x/c+1/2*C*x^2/c-B*(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*(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))+1/2*(A*b*c+2*C*a*c-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*(A*c-C*b)*ln(c*x^4+b*x^2+a)/c^2,1],
[x^2*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x,12,C*x/c+(A*c-b*C-(A*b*c-(-2*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)/c^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))+(A*c-b*C+(A*b*c+2*C*a*c-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))+1/2*b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/4*B*ln(c*x^4+b*x^2+a)/c,1],
[x*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x,10,-B*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)+B*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)-1/2*(2*A*c-C*b)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/4*C*ln(c*x^4+b*x^2+a)/c,1],
[(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x,8,(C+(2*A*c-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)/sqrt(b-sqrt(-4*a*c+b^2))+(C-(2*A*c-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)/sqrt(b+sqrt(-4*a*c+b^2))-B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(C*x^2+B*x+A)/x/(c*x^4+b*x^2+a),x,12,sqrt(2)*B*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)*B*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))+1/2*(A*b-2*C*a)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a/sqrt(-4*a*c+b^2)+A*ln(x)/a-1/4*A*ln(c*x^4+b*x^2+a)/a,1],
[(C*x^2+B*x+A)/x^2/(c*x^4+b*x^2+a),x,12,-A/a/x-sqrt(c)*(A+(A*b-2*C*a)/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)*(A-(A*b-2*C*a)/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))+1/2*b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a/sqrt(-4*a*c+b^2)+B*ln(x)/a-1/4*B*ln(c*x^4+b*x^2+a)/a,1],
[(C*x^2+B*x+A)/x^3/(c*x^4+b*x^2+a),x,12,-1/2*A/a/x^2-B/a/x-B*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))-B*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))-1/2*(A*(-2*a*c+b^2)-a*b*C)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/sqrt(-4*a*c+b^2)-(A*b-C*a)*ln(x)/a^2+1/4*(A*b-C*a)*ln(c*x^4+b*x^2+a)/a^2,1],
[x^5*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,12,-1/2*B*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*x^2*(a*(2*A*c-C*b)+(A*b*c+2*C*a*c-C*b^2)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*B*(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*B*(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*(b^3*C+2*a*c*(2*A*c-3*C*b))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/4*C*ln(c*x^4+b*x^2+a)/c^2,1],
[x^4*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,10,1/2*B*x^2*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*x*(a*(2*A*c-C*b)+(A*b*c+2*C*a*c-C*b^2)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(A*b-6*a*C+b^2*C/c-(A*c*(4*a*c+b^2)+b*(-8*a*c+b^2)*C)/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*(A*b-6*a*C+b^2*C/c+(A*c*(4*a*c+b^2)+b*(-8*a*c+b^2)*C)/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))+2*a*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x^3*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,10,1/2*B*x*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(a*(2*A*c-C*b)+(A*b*c+2*C*a*c-C*b^2)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*B*(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*(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))-(A*b-2*C*a)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x^2*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,10,1/2*B*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(A*b-2*a*C+(2*A*c-C*b)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*A*c-b*C-(4*A*b*c-(4*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*(2*A*c-b*C+(4*A*b*c-(4*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))-b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,10,-1/2*B*x*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(A*b-2*a*C+(2*A*c-C*b)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+B*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))-B*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))+(2*A*c-C*b)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,10,-1/2*B*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*x*(A*(-2*a*c+b^2)-a*b*C+c*(A*b-2*C*a)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(A*b-2*a*C+(A*(-12*a*c+b^2)+4*a*b*C)/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)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*sqrt(c)*(A*b-2*a*C-(-12*A*a*c+A*b^2+4*C*a*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)/sqrt(b+sqrt(-4*a*c+b^2))+2*B*c*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(C*x^2+B*x+A)/x/(c*x^4+b*x^2+a)^2,x,14,1/2*B*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*(A*(-2*a*c+b^2)-a*b*C+c*(A*b-2*C*a)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*B*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*B*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*(A*(-6*a*b*c+b^3)+4*a^2*c*C)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/(-4*a*c+b^2)^(3/2)+A*ln(x)/a^2-1/4*A*ln(c*x^4+b*x^2+a)/a^2,1],
[(C*x^2+B*x+A)/x^2/(c*x^4+b*x^2+a)^2,x,14,-A/a^2/x+1/2*B*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(A*(-3*a*b*c+b^3)-a*(-2*a*c+b^2)*C+c*(A*(-2*a*c+b^2)-a*b*C)*x^2)/a^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*sqrt(c)*(A*(3*b^3-16*a*b*c+3*b^2*sqrt(-4*a*c+b^2)-10*a*c*sqrt(-4*a*c+b^2))-a*(b^2-12*a*c+b*sqrt(-4*a*c+b^2))*C)*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)*(A*(3*b^3-16*a*b*c-3*b^2*sqrt(-4*a*c+b^2)+10*a*c*sqrt(-4*a*c+b^2))-a*(b^2-12*a*c-b*sqrt(-4*a*c+b^2))*C)*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*b*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)+B*ln(x)/a^2-1/4*B*ln(c*x^4+b*x^2+a)/a^2,1],
[(C*x^2+B*x+A)/x^3/(c*x^4+b*x^2+a)^2,x,14,-1/2*A/a^2/x^2-B/a^2/x-1/2*B*x*(b*(-3*a*c+b^2)+c*(-2*a*c+b^2)*x^2)/a^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(A*(-3*a*b*c+b^3)-a*(-2*a*c+b^2)*C+c*(A*(-2*a*c+b^2)-a*b*C)*x^2)/a^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*B*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*B*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*(2*A*(6*a^2*c^2-6*a*b^2*c+b^4)-a*b*(-6*a*c+b^2)*C)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^3/(-4*a*c+b^2)^(3/2)-(2*A*b-C*a)*ln(x)/a^3+1/4*(2*A*b-C*a)*ln(c*x^4+b*x^2+a)/a^3,1],
[(d*x)^m*(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^3,x,3,a^3*A*(d*x)^(1+m)/d/(1+m)+a^3*B*(d*x)^(2+m)/d^2/(2+m)+a^2*(3*A*b+C*a)*(d*x)^(3+m)/d^3/(3+m)+3*a^2*b*B*(d*x)^(4+m)/d^4/(4+m)+3*a*(A*(a*c+b^2)+a*b*C)*(d*x)^(5+m)/d^5/(5+m)+3*a*B*(a*c+b^2)*(d*x)^(6+m)/d^6/(6+m)+(A*(6*a*b*c+b^3)+3*a*(a*c+b^2)*C)*(d*x)^(7+m)/d^7/(7+m)+b*B*(6*a*c+b^2)*(d*x)^(8+m)/d^8/(8+m)+(3*A*c*(a*c+b^2)+b*(6*a*c+b^2)*C)*(d*x)^(9+m)/d^9/(9+m)+3*B*c*(a*c+b^2)*(d*x)^(10+m)/d^10/(10+m)+3*c*(A*b*c+(a*c+b^2)*C)*(d*x)^(11+m)/d^11/(11+m)+3*b*B*c^2*(d*x)^(12+m)/d^12/(12+m)+c^2*(A*c+3*C*b)*(d*x)^(13+m)/d^13/(13+m)+B*c^3*(d*x)^(14+m)/d^14/(14+m)+c^3*C*(d*x)^(15+m)/d^15/(15+m),1],
[(d*x)^m*(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x,3,a^2*A*(d*x)^(1+m)/d/(1+m)+a^2*B*(d*x)^(2+m)/d^2/(2+m)+a*(2*A*b+C*a)*(d*x)^(3+m)/d^3/(3+m)+2*a*b*B*(d*x)^(4+m)/d^4/(4+m)+(A*(2*a*c+b^2)+2*a*b*C)*(d*x)^(5+m)/d^5/(5+m)+B*(2*a*c+b^2)*(d*x)^(6+m)/d^6/(6+m)+(2*A*b*c+(2*a*c+b^2)*C)*(d*x)^(7+m)/d^7/(7+m)+2*b*B*c*(d*x)^(8+m)/d^8/(8+m)+c*(A*c+2*C*b)*(d*x)^(9+m)/d^9/(9+m)+B*c^2*(d*x)^(10+m)/d^10/(10+m)+c^2*C*(d*x)^(11+m)/d^11/(11+m),1],
[(d*x)^m*(C*x^2+B*x+A)*(c*x^4+b*x^2+a),x,3,a*A*(d*x)^(1+m)/d/(1+m)+a*B*(d*x)^(2+m)/d^2/(2+m)+(A*b+C*a)*(d*x)^(3+m)/d^3/(3+m)+b*B*(d*x)^(4+m)/d^4/(4+m)+(A*c+C*b)*(d*x)^(5+m)/d^5/(5+m)+B*c*(d*x)^(6+m)/d^6/(6+m)+c*C*(d*x)^(7+m)/d^7/(7+m),1],
[(d*x)^m*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x,9,(C+(2*A*c-C*b)/sqrt(-4*a*c+b^2))*(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)))/(b-sqrt(-4*a*c+b^2))/d/(1+m)+(C-(2*A*c-C*b)/sqrt(-4*a*c+b^2))*(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)))/(b+sqrt(-4*a*c+b^2))/d/(1+m)+2*B*c*(d*x)^(2+m)*hypergeom([1, 1+1/2*m],[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^2/(2+m)-2*B*c*(d*x)^(2+m)*hypergeom([1, 1+1/2*m],[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^2/(2+m),1],
[(d*x)^m*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,11,1/2*B*(d*x)^(2+m)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/d^2/(c*x^4+b*x^2+a)+1/2*(d*x)^(1+m)*(A*(-2*a*c+b^2)-a*b*C+c*(A*b-2*C*a)*x^2)/a/(-4*a*c+b^2)/d/(c*x^4+b*x^2+a)+1/2*c*(2*a*C*(2*b-sqrt(-4*a*c+b^2)*(1-m))+A*(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*(2*a*C*(2*b+sqrt(-4*a*c+b^2)*(1-m))+A*(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*B*c*(4*a*c*(2-m)+b*(b+sqrt(-4*a*c+b^2))*m)*(d*x)^(2+m)*hypergeom([1, 1+1/2*m],[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^2/(2+m)+1/2*B*c*(4*a*c*(2-m)+b*(b-sqrt(-4*a*c+b^2))*m)*(d*x)^(2+m)*hypergeom([1, 1+1/2*m],[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^2/(2+m),1],
[x^2*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x,10,1/2*B*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(A*b-2*a*C+(2*A*c-C*b)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*A*c-b*C-(4*A*b*c-(4*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*(2*A*c-b*C+(4*A*b*c-(4*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))-b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x*(C*x^3+B*x^2+A*x)/(c*x^4+b*x^2+a)^2,x,11,1/2*B*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(A*b-2*a*C+(2*A*c-C*b)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*A*c-b*C-(4*A*b*c-(4*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*(2*A*c-b*C+(4*A*b*c-(4*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))-b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(C*x^4+B*x^3+A*x^2)/(c*x^4+b*x^2+a)^2,x,11,1/2*B*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(A*b-2*a*C+(2*A*c-C*b)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*A*c-b*C-(4*A*b*c-(4*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*(2*A*c-b*C+(4*A*b*c-(4*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))-b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(C*x^5+B*x^4+A*x^3)/x/(c*x^4+b*x^2+a)^2,x,11,1/2*B*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(A*b-2*a*C+(2*A*c-C*b)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*A*c-b*C-(4*A*b*c-(4*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*(2*A*c-b*C+(4*A*b*c-(4*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))-b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(C*x^6+B*x^5+A*x^4)/x^2/(c*x^4+b*x^2+a)^2,x,11,1/2*B*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(A*b-2*a*C+(2*A*c-C*b)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*A*c-b*C-(4*A*b*c-(4*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*(2*A*c-b*C+(4*A*b*c-(4*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))-b*B*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x^7*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,7,1/2*(b^2*c*e-a*c^2*e-b^3*f-b*c*(-2*a*f+c*d))*x^2/c^4+1/4*(c^2*d+b^2*f-c*(a*f+b*e))*x^4/c^3+1/6*(-b*f+c*e)*x^6/c^2+1/8*f*x^8/c-1/2*(b^4*c*e-4*a*b^2*c^2*e+2*a^2*c^3*e-b^5*f-b^3*c*(-5*a*f+c*d)+a*b*c^2*(-5*a*f+3*c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^5/sqrt(-4*a*c+b^2)-1/4*(b^3*c*e-2*a*b*c^2*e-b^4*f-b^2*c*(-3*a*f+c*d)+a*c^2*(-a*f+c*d))*ln(c*x^4+b*x^2+a)/c^5,1],
[x^5*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,7,1/2*(c^2*d+b^2*f-c*(a*f+b*e))*x^2/c^3+1/4*(-b*f+c*e)*x^4/c^2+1/6*f*x^6/c+1/2*(b^3*c*e-3*a*b*c^2*e-b^4*f-b^2*c*(-4*a*f+c*d)+2*a*c^2*(-a*f+c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^4/sqrt(-4*a*c+b^2)+1/4*(b^2*c*e-a*c^2*e-b^3*f-b*c*(-2*a*f+c*d))*ln(c*x^4+b*x^2+a)/c^4,1],
[x^3*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,7,1/2*(-b*f+c*e)*x^2/c^2+1/4*f*x^4/c-1/2*(b^2*c*e-2*a*c^2*e-b^3*f-b*c*(-3*a*f+c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/4*(c^2*d+b^2*f-c*(a*f+b*e))*ln(c*x^4+b*x^2+a)/c^3,1],
[x*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,7,1/2*f*x^2/c-1/2*(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)+1/4*(-b*f+c*e)*ln(c*x^4+b*x^2+a)/c^2,1],
[(f*x^4+e*x^2+d)/x/(c*x^4+b*x^2+a),x,7,1/2*(a*b*f-2*a*c*e+b*c*d)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a/c/sqrt(-4*a*c+b^2)+d*ln(x)/a-1/4*(-a*f+c*d)*ln(c*x^4+b*x^2+a)/a/c,1],
[(f*x^4+e*x^2+d)/x^3/(c*x^4+b*x^2+a),x,7,-1/2*d/a/x^2-1/2*(b^2*d-a*b*e-2*a*(-a*f+c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/sqrt(-4*a*c+b^2)-(-a*e+b*d)*ln(x)/a^2+1/4*(-a*e+b*d)*ln(c*x^4+b*x^2+a)/a^2,1],
[(f*x^4+e*x^2+d)/x^5/(c*x^4+b*x^2+a),x,7,-1/4*d/a/x^4+1/2*(-a*e+b*d)/a^2/x^2+1/2*(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^3/sqrt(-4*a*c+b^2)+(b^2*d-a*b*e-a*(-a*f+c*d))*ln(x)/a^3-1/4*(b^2*d-a*b*e-a*(-a*f+c*d))*ln(c*x^4+b*x^2+a)/a^3,1],
[(f*x^4+e*x^2+d)/x^7/(c*x^4+b*x^2+a),x,7,-1/6*d/a/x^6+1/4*(-a*e+b*d)/a^2/x^4-1/2*(b^2*d-a*b*e-a*(-a*f+c*d))/a^3/x^2-1/2*(b^4*d-a*b^3*e+3*a^2*b*c*e+2*a^2*c*(-a*f+c*d)-a*b^2*(-a*f+4*c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^4/sqrt(-4*a*c+b^2)-(b^3*d-a*b^2*e+a^2*c*e-a*b*(-a*f+2*c*d))*ln(x)/a^4+1/4*(b^3*d-a*b^2*e+a^2*c*e-a*b*(-a*f+2*c*d))*ln(c*x^4+b*x^2+a)/a^4,1],
[x^4*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,5,(c^2*d+b^2*f-c*(a*f+b*e))*x/c^3+1/3*(-b*f+c*e)*x^3/c^2+1/5*f*x^5/c+(b^2*c*e-a*c^2*e-b^3*f-b*c*(-2*a*f+c*d)-(b^3*c*e-3*a*b*c^2*e-b^4*f-b^2*c*(-4*a*f+c*d)+2*a*c^2*(-a*f+c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(7/2)/sqrt(b-sqrt(-4*a*c+b^2))+(b^2*c*e-a*c^2*e-b^3*f-b*c*(-2*a*f+c*d)+(b^3*c*e-3*a*b*c^2*e-b^4*f-b^2*c*(-4*a*f+c*d)+2*a*c^2*(-a*f+c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(7/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^2*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,5,(-b*f+c*e)*x/c^2+1/3*f*x^3/c+(c^2*d+b^2*f-c*(a*f+b*e)+(b^2*c*e-2*a*c^2*e-b^3*f-b*c*(-3*a*f+c*d))/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))+(c^2*d+b^2*f-c*(a*f+b*e)-(b^2*c*e-2*a*c^2*e-b^3*f-b*c*(-3*a*f+c*d))/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],
[(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,5,f*x/c+(c*e-b*f+(2*c^2*d+b^2*f-c*(2*a*f+b*e))/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))+(c*e-b*f-(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)/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],
[(f*x^4+e*x^2+d)/x^2/(c*x^4+b*x^2+a),x,5,-d/a/x-(c*d-a*f+(a*b*f-2*a*c*e+b*c*d)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(c)/sqrt(b-sqrt(-4*a*c+b^2))-(c*d-a*f-(a*b*f-2*a*c*e+b*c*d)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(c)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[(f*x^4+e*x^2+d)/x^4/(c*x^4+b*x^2+a),x,5,-1/3*d/a/x^3+(-a*e+b*d)/a^2/x+sqrt(c)*(b*d-a*e+(b^2*d-a*b*e-2*a*(-a*f+c*d))/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*d-b*(sqrt(-4*a*c+b^2)*d+a*e)-a*(2*c*d-sqrt(-4*a*c+b^2)*e-2*a*f))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[(f*x^4+e*x^2+d)/x^6/(c*x^4+b*x^2+a),x,5,-1/5*d/a/x^5+1/3*(-a*e+b*d)/a^2/x^3-(b^2*d-a*b*e-a*(-a*f+c*d))/a^3/x-sqrt(c)*(b^2*d-a*b*e-a*(-a*f+c*d)+(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(c)*(b^2*d-a*b*e-a*(-a*f+c*d)-(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^7*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,8,1/2*(-2*b*f+c*e)*x^2/c^3+1/4*f*x^4/c^2-1/2*(a*(b^3*c*e-3*a*b*c^2*e-b^4*f-b^2*c*(-4*a*f+c*d)+2*a*c^2*(-a*f+c*d))+(b^4*c*e-4*a*b^2*c^2*e+2*a^2*c^3*e-b^5*f-b^3*c*(-5*a*f+c*d)+a*b*c^2*(-5*a*f+3*c*d))*x^2)/c^4/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*b^4*c*e-12*a*b^2*c^2*e+12*a^2*c^3*e-3*b^5*f-b^3*c*(-20*a*f+c*d)+6*a*b*c^2*(-5*a*f+c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^4/(-4*a*c+b^2)^(3/2)+1/4*(c^2*d+3*b^2*f-2*c*(a*f+b*e))*ln(c*x^4+b*x^2+a)/c^4,1],
[x^5*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,8,1/2*f*x^2/c^2-1/2*(a*c*(b*c*d-b^2*e+2*a*c*e-3*a*b*f+b^3*f/c)-(b^3*c*e-3*a*b*c^2*e-b^4*f-b^2*c*(-4*a*f+c*d)+2*a*c^2*(-a*f+c*d))*x^2)/c^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(12*a^2*c^2*f-b^3*(-2*b*f+c*e)-2*a*c*(6*b^2*f-3*b*c*e+2*c^2*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(3/2)+1/4*(-2*b*f+c*e)*ln(c*x^4+b*x^2+a)/c^3,1],
[x^3*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,6,1/2*(a*(2*c^2*d+b^2*f-c*(2*a*f+b*e))-(b^2*c*e-2*a*c^2*e-b^3*f-b*c*(-3*a*f+c*d))*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(4*a*c^2*e+b^3*f-2*b*c*(3*a*f+c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/4*f*ln(c*x^4+b*x^2+a)/c^2,1],
[x*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,4,1/2*(2*a*c*e-b*(a*f+c*d)-(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+(2*a*f-b*e+2*c*d)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(f*x^4+e*x^2+d)/x/(c*x^4+b*x^2+a)^2,x,8,1/2*(b^2*d-a*b*e-2*a*(-a*f+c*d)+(a*b*f-2*a*c*e+b*c*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b^3*d+4*a^2*c*e-2*a*b*(a*f+3*c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/(-4*a*c+b^2)^(3/2)+d*ln(x)/a^2-1/4*d*ln(c*x^4+b*x^2+a)/a^2,1],
[(f*x^4+e*x^2+d)/x^3/(c*x^4+b*x^2+a)^2,x,8,-1/2*d/a^2/x^2-1/2*(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d)+c*(b^2*d-a*b*e-2*a*(-a*f+c*d))*x^2)/a^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*b^4*d-12*a*b^2*c*d-a*b^3*e+6*a^2*b*c*e+4*a^2*c*(-a*f+3*c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^3/(-4*a*c+b^2)^(3/2)-(-a*e+2*b*d)*ln(x)/a^3+1/4*(-a*e+2*b*d)*ln(c*x^4+b*x^2+a)/a^3,1],
[(f*x^4+e*x^2+d)/x^5/(c*x^4+b*x^2+a)^2,x,8,-1/4*d/a^2/x^4+1/2*(-a*e+2*b*d)/a^3/x^2+1/2*(b^4*d-a*b^3*e+3*a^2*b*c*e+2*a^2*c*(-a*f+c*d)-a*b^2*(-a*f+4*c*d)+c*(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d))*x^2)/a^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(3*b^5*d-2*a*b^4*e+12*a^2*b^2*c*e-12*a^3*c^2*e+6*a^2*b*c*(-a*f+5*c*d)-a*b^3*(-a*f+20*c*d))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^4/(-4*a*c+b^2)^(3/2)+(3*b^2*d-2*a*b*e-a*(-a*f+2*c*d))*ln(x)/a^4-1/4*(3*b^2*d-2*a*b*e-a*(-a*f+2*c*d))*ln(c*x^4+b*x^2+a)/a^4,1],
[x^6*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,6,(-2*b*f+c*e)*x/c^3+1/3*f*x^3/c^2+1/2*x*(a*(b^2*c*e-2*a*c^2*e-b^3*f-b*c*(-3*a*f+c*d))+(b^3*c*e-3*a*b*c^2*e-b^4*f-b^2*c*(-4*a*f+c*d)+2*a*c^2*(-a*f+c*d))*x^2)/c^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(3*b^3*c*e-13*a*b*c^2*e-5*b^4*f-b^2*c*(-24*a*f+c*d)+2*a*c^2*(-7*a*f+3*c*d)-(3*b^4*c*e-19*a*b^2*c^2*e+20*a^2*c^3*e-5*b^5*f-b^3*c*(-34*a*f+c*d)+4*a*b*c^2*(-13*a*f+2*c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(7/2)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(3*b^3*c*e-13*a*b*c^2*e-5*b^4*f-b^2*c*(-24*a*f+c*d)+2*a*c^2*(-7*a*f+3*c*d)+(3*b^4*c*e-19*a*b^2*c^2*e+20*a^2*c^3*e-5*b^5*f-b^3*c*(-34*a*f+c*d)+4*a*b*c^2*(-13*a*f+2*c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(7/2)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^4*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,6,f*x/c^2+1/2*x*(a*(2*c^2*d+b^2*f-c*(2*a*f+b*e))-(b^2*c*e-2*a*c^2*e-b^3*f-b*c*(-3*a*f+c*d))*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b^2*c*e-6*a*c^2*e-3*b^3*f+b*c*(13*a*f+c*d)-(b^3*c*e-8*a*b*c^2*e-3*b^4*f+4*a*c^2*(-5*a*f+c*d)+b^2*c*(19*a*f+c*d))/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*(b^2*c*e-6*a*c^2*e-3*b^3*f+b*c*(13*a*f+c*d)+(b^3*c*e-8*a*b*c^2*e-3*b^4*f+4*a*c^2*(-5*a*f+c*d)+b^2*c*(19*a*f+c*d))/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^2*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,4,-1/2*x*(b*c*d-2*a*c*e+a*b*f+(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*c*d-b*e+6*a*f-b^2*f/c+(b^2*c*e+4*a*c^2*e+b^3*f-4*b*c*(2*a*f+c*d))/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*(2*c*d-b*e+6*a*f-b^2*f/c-(b^2*c*e+4*a*c^2*e+b^3*f-4*b*c*(2*a*f+c*d))/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],
[(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,4,1/2*x*(b^2*d-a*b*e-2*a*(-a*f+c*d)+(a*b*f-2*a*c*e+b*c*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b*c*d-2*a*c*e+a*b*f+(4*a*b*c*e+b^2*(-a*f+c*d)-4*a*c*(a*f+3*c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(c)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*(b*c*d-2*a*c*e+a*b*f-(4*a*b*c*e+b^2*(-a*f+c*d)-4*a*c*(a*f+3*c*d))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(c)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[(f*x^4+e*x^2+d)/x^2/(c*x^4+b*x^2+a)^2,x,6,-d/a^2/x-1/2*x*(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d)+c*(b^2*d-a*b*e-2*a*(-a*f+c*d))*x^2)/a^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*sqrt(c)*(3*b^2*d-a*b*e-2*a*(-a*f+5*c*d)+(3*b^3*d-a*b^2*e+12*a^2*c*e-4*a*b*(a*f+4*c*d))/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)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*sqrt(c)*(3*b^3*d-b^2*(3*sqrt(-4*a*c+b^2)*d+a*e)-a*b*(16*c*d-sqrt(-4*a*c+b^2)*e+4*a*f)+2*a*(5*c*sqrt(-4*a*c+b^2)*d+6*a*c*e-a*sqrt(-4*a*c+b^2)*f))*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],
[(f*x^4+e*x^2+d)/x^4/(c*x^4+b*x^2+a)^2,x,6,-1/3*d/a^2/x^3+(-a*e+2*b*d)/a^3/x-1/2*x*(a*b*c*(-a*e+b*d)-(-2*a*c+b^2)*(b^2*d-a*b*e-a*(-a*f+c*d))-c*(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d))*x^2)/a^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(5*b^4*d+b^3*(5*sqrt(-4*a*c+b^2)*d-3*a*e)+2*a^2*c*(14*c*d+5*sqrt(-4*a*c+b^2)*e-6*a*f)-a*b^2*(29*c*d+3*sqrt(-4*a*c+b^2)*e-a*f)-a*b*(19*c*sqrt(-4*a*c+b^2)*d-16*a*c*e-a*sqrt(-4*a*c+b^2)*f))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*sqrt(c)*(5*b^4*d-b^3*(5*sqrt(-4*a*c+b^2)*d+3*a*e)+2*a^2*c*(14*c*d-5*sqrt(-4*a*c+b^2)*e-6*a*f)-a*b^2*(29*c*d-3*sqrt(-4*a*c+b^2)*e-a*f)+a*b*(19*c*sqrt(-4*a*c+b^2)*d+16*a*c*e-a*sqrt(-4*a*c+b^2)*f))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^9*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,5,-293/2*x^2+49/2*x^4-9/2*x^6+5/8*x^8-1/(2*x^2+2)+208/(x^2+2)+2*ln(x^2+1)+392*ln(x^2+2),1],
[x^7*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,5,49*x^2-27/4*x^4+5/6*x^6+1/(2*x^2+2)-104/(x^2+2)-5/2*ln(x^2+1)-144*ln(x^2+2),1],
[x^5*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,5,-27/2*x^2+5/4*x^4-1/(2*x^2+2)+52/(x^2+2)+3*ln(x^2+1)+46*ln(x^2+2),1],
[x^3*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,5,5/2*x^2+1/(2*x^2+2)-26/(x^2+2)-7/2*ln(x^2+1)-10*ln(x^2+2),1],
[x*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,3,-1/2/(x^2+1)+13/(x^2+2)+4*ln(x^2+1)-3/2*ln(x^2+2),1],
[(5*x^6+3*x^4+x^2+4)/x/(x^4+3*x^2+2)^2,x,5,1/(2*x^2+2)-13/(2*x^2+4)+ln(x)-9/2*ln(x^2+1)+4*ln(x^2+2),1],
[(5*x^6+3*x^4+x^2+4)/x^3/(x^4+3*x^2+2)^2,x,5,-1/2/x^2-1/(2*x^2+2)+13/(4*x^2+8)-11/4*ln(x)+5*ln(x^2+1)-29/8*ln(x^2+2),1],
[(5*x^6+3*x^4+x^2+4)/x^5/(x^4+3*x^2+2)^2,x,5,-1/4/x^4+11/8/x^2+1/(2*x^2+2)-13/(8*x^2+16)+23/4*ln(x)-11/2*ln(x^2+1)+21/8*ln(x^2+2),1],
[x^8*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,6,-293*x+98/3*x^3-27/5*x^5+5/7*x^7-x*(207*x^2+206)/(2*x^4+6*x^2+4)+9/2*arctan(x)+340*sqrt(2)*arctan(x/sqrt(2)),1],
[x^6*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,6,98*x-9*x^3+x^5+x*(103*x^2+102)/(2*x^4+6*x^2+4)-11/2*arctan(x)-118*sqrt(2)*arctan(x/sqrt(2)),1],
[x^4*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,6,-27*x+5/3*x^3-x*(51*x^2+50)/(2*x^4+6*x^2+4)+13/2*arctan(x)+33*sqrt(2)*arctan(x/sqrt(2)),1],
[x^2*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,6,5*x+x*(25*x^2+24)/(2*x^4+6*x^2+4)-15/2*arctan(x)-7*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x,4,-1/2*x*(12*x^2+11)/(x^4+3*x^2+2)+17/2*arctan(x)-19/2*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/x^2/(x^4+3*x^2+2)^2,x,6,-1/x+x*(11*x^2+9)/(4*x^4+12*x^2+8)-19/2*arctan(x)+45/4*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/x^4/(x^4+3*x^2+2)^2,x,6,-1/3/x^3+11/4/x-x*(9*x^2+5)/(8*x^4+24*x^2+16)+21/2*arctan(x)-71/8*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/x^6/(x^4+3*x^2+2)^2,x,6,-1/5/x^5+11/12/x^3-23/4/x-x*(-5*x^2+3)/(16*x^4+48*x^2+32)-23/2*arctan(x)+97/16*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/x^8/(x^4+3*x^2+2)^2,x,6,-1/7/x^7+11/20/x^5-23/12/x^3+137/16/x+x*(3*x^2+19)/(32*x^4+96*x^2+64)+25/2*arctan(x)-123/32*arctan(x/sqrt(2))/sqrt(2),1],
[x^10*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x,7,214*x-14*x^3+x^5+1/4*x*(415*x^2+414)/(x^4+3*x^2+2)^2+x*(1669*x^2+824)/(8*x^4+24*x^2+16)+477/8*arctan(x)-351*sqrt(2)*arctan(x/sqrt(2)),1],
[x^8*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x,7,-42*x+5/3*x^3-1/4*x*(207*x^2+206)/(x^4+3*x^2+2)^2+x*(-409*x^2+24)/(8*x^4+24*x^2+16)-449/8*arctan(x)+219*arctan(x/sqrt(2))/sqrt(2),1],
[x^6*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x,7,5*x+1/4*x*(103*x^2+102)/(x^4+3*x^2+2)^2-x*(15*x^2+244)/(8*x^4+24*x^2+16)+413/8*arctan(x)-191/2*arctan(x/sqrt(2))/sqrt(2),1],
[x^4*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x,5,-1/4*x*(51*x^2+50)/(x^4+3*x^2+2)^2+x*(125*x^2+254)/(8*x^4+24*x^2+16)-369/8*arctan(x)+267/4*arctan(x/sqrt(2))/sqrt(2),1],
[x^2*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x,5,1/4*x*(25*x^2+24)/(x^4+3*x^2+2)^2-x*(130*x^2+211)/(8*x^4+24*x^2+16)+317/8*arctan(x)-447/8*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x,5,-1/4*x*(12*x^2+11)/(x^4+3*x^2+2)^2+x*(217*x^2+335)/(16*x^4+48*x^2+32)-257/8*arctan(x)+731/16*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/x^2/(x^4+3*x^2+2)^3,x,7,-1/2/x+1/8*x*(11*x^2+9)/(x^4+3*x^2+2)^2-x*(347*x^2+547)/(32*x^4+96*x^2+64)+189/8*arctan(x)-1119/32*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/x^4/(x^4+3*x^2+2)^3,x,7,-1/6/x^3+17/8/x-1/16*x*(9*x^2+5)/(x^4+3*x^2+2)^2+x*(571*x^2+951)/(64*x^4+192*x^2+128)-113/8*arctan(x)+1611/64*arctan(x/sqrt(2))/sqrt(2),1],
[(5*x^6+3*x^4+x^2+4)/x^6/(x^4+3*x^2+2)^3,x,7,-1/10/x^5+17/24/x^3-93/16/x-1/32*x*(-5*x^2+3)/(x^4+3*x^2+2)^2-x*(999*x^2+1771)/(128*x^4+384*x^2+256)+29/8*arctan(x)-2207/128*arctan(x/sqrt(2))/sqrt(2),1],
[x^9*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,8,19*x^2+19/4*x^4-17/6*x^6+5/8*x^8-25*(7*x^2+15)/(8*x^4+16*x^2+24)+201/8*arctan((x^2+1)/sqrt(2))/sqrt(2)-183/4*ln(x^4+2*x^2+3),1],
[x^7*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,8,19/2*x^2-17/4*x^4+5/6*x^6+25*(5*x^2+3)/(8*x^4+16*x^2+24)-455/8*arctan((x^2+1)/sqrt(2))/sqrt(2)+19/2*ln(x^4+2*x^2+3),1],
[x^5*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,8,-17/2*x^2+5/4*x^4+25*(-x^2+3)/(8*x^4+16*x^2+24)+203/8*arctan((x^2+1)/sqrt(2))/sqrt(2)+19/4*ln(x^4+2*x^2+3),1],
[x^3*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,8,5/2*x^2-25*(x^2+3)/(8*x^4+16*x^2+24)-17/8*arctan((x^2+1)/sqrt(2))/sqrt(2)-17/4*ln(x^4+2*x^2+3),1],
[x*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,6,25*(x^2+1)/(8*x^4+16*x^2+24)-23/8*arctan((x^2+1)/sqrt(2))/sqrt(2)+5/4*ln(x^4+2*x^2+3),1],
[(5*x^6+3*x^4+x^2+4)/x/(x^4+2*x^2+3)^2,x,8,25*(-x^2+1)/(24*x^4+48*x^2+72)+89/72*arctan((x^2+1)/sqrt(2))/sqrt(2)+4/9*ln(x)-1/9*ln(x^4+2*x^2+3),1],
[(5*x^6+3*x^4+x^2+4)/x^3/(x^4+2*x^2+3)^2,x,8,-2/9/x^2-25*(x^2+5)/(72*x^4+144*x^2+216)-71/216*arctan((x^2+1)/sqrt(2))/sqrt(2)-13/27*ln(x)+13/108*ln(x^4+2*x^2+3),1],
[(5*x^6+3*x^4+x^2+4)/x^5/(x^4+2*x^2+3)^2,x,8,-1/9/x^4+13/54/x^2+25*(5*x^2+7)/(216*x^4+432*x^2+648)+125/216*arctan((x^2+1)/sqrt(2))/sqrt(2)+13/27*ln(x)-13/108*ln(x^4+2*x^2+3),1],
[(5*x^6+3*x^4+x^2+4)/x^7/(x^4+2*x^2+3)^2,x,8,-2/27/x^6+13/108/x^4-13/54/x^2+25*(-7*x^2+1)/(648*x^4+1296*x^2+1944)-1237/1944*arctan((x^2+1)/sqrt(2))/sqrt(2)+61/243*ln(x)-61/972*ln(x^4+2*x^2+3),1],
[x^8*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,11,38*x+19/3*x^3-17/5*x^5+5/7*x^7+25*x*(5*x^2+3)/(8*x^4+16*x^2+24)+1/16*sqrt(262771/2+618291/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-1/16*sqrt(262771/2+618291/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+1/16*sqrt(-262771/2+618291/2*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^6*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,11,19*x-17/3*x^3+x^5+25*x*(-x^2+3)/(8*x^4+16*x^2+24)+3/16*sqrt(-26007/2+15033/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-3/16*sqrt(-26007/2+15033/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))-3/16*sqrt(26007/2+15033/2*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^4*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,11,-17*x+5/3*x^3-25*x*(x^2+3)/(8*x^4+16*x^2+24)-1/16*sqrt(14395/2+26499/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+1/16*sqrt(14395/2+26499/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+1/16*sqrt(-14395/2+26499/2*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^2*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,11,5*x+25*x*(x^2+1)/(8*x^4+16*x^2+24)+1/16*sqrt(19291/6+12899/6*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-1/16*sqrt(19291/6+12899/6*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+1/16*sqrt(-19291/6+12899/6*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x,9,25*x*(-x^2+1)/(24*x^4+48*x^2+72)-1/48*sqrt(-11567/6+4299/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+1/48*sqrt(-11567/6+4299/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))-1/48*sqrt(11567/6+4299/2*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[(5*x^6+3*x^4+x^2+4)/x^2/(x^4+2*x^2+3)^2,x,11,-4/9/x-25*x*(x^2+5)/(72*x^4+144*x^2+216)+1/48*sqrt(-965/6+233/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-1/48*sqrt(-965/6+233/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+1/48*sqrt(965/6+233/2*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[(5*x^6+3*x^4+x^2+4)/x^4/(x^4+2*x^2+3)^2,x,11,-4/27/x^3+13/27/x+25*x*(5*x^2+7)/(216*x^4+432*x^2+648)-1/432*sqrt(6073/6+18891/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+1/432*sqrt(6073/6+18891/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))-1/432*sqrt(-6073/6+18891/2*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[(5*x^6+3*x^4+x^2+4)/x^6/(x^4+2*x^2+3)^2,x,11,-4/45/x^5+13/81/x^3-13/27/x+25*x*(-7*x^2+1)/(648*x^4+1296*x^2+1944)+1/1296*sqrt(-1139381/6+229473/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-1/1296*sqrt(-1139381/6+229473/2*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+1/1296*sqrt(1139381/6+229473/2*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^10*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x,12,58*x-9*x^3+x^5-25/16*x*(7*x^2+15)/(x^4+2*x^2+3)^2+x*(252*x^2+3305)/(64*x^4+128*x^2+192)+3/256*sqrt(-8595619+7678611*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-3/256*sqrt(-8595619+7678611*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))-3/256*sqrt(8595619+7678611*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^8*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x,12,-27*x+5/3*x^3+25/16*x*(5*x^2+3)/(x^4+2*x^2+3)^2-x*(835*x^2+1468)/(64*x^4+128*x^2+192)-21/256*sqrt(34271+22721*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+21/256*sqrt(34271+22721*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+21/256*sqrt(-34271+22721*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^6*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x,12,5*x+25/16*x*(-x^2+3)/(x^4+2*x^2+3)^2+7*x*(58*x^2+11)/(64*x^4+128*x^2+192)+1/256*sqrt(827621+1176531*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-1/256*sqrt(827621+1176531*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+1/256*sqrt(-827621+1176531*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^4*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x,10,-25/16*x*(x^2+3)/(x^4+2*x^2+3)^2+x*(-59*x^2+238)/(64*x^4+128*x^2+192)-1/256*sqrt(-146505+98481*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+1/256*sqrt(-146505+98481*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))-1/256*sqrt(146505+98481*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x^2*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x,10,25/16*x*(x^2+1)/(x^4+2*x^2+3)^2-x*(88*x^2+353)/(192*x^4+384*x^2+576)-11/768*sqrt(-1825/3+363*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+11/768*sqrt(-1825/3+363*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+11/768*sqrt(1825/3+363*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x,10,25/48*x*(-x^2+1)/(x^4+2*x^2+3)^2+x*(51*x^2+64)/(192*x^4+384*x^2+576)-1/256*sqrt(-1291/3+1019/3*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+1/256*sqrt(-1291/3+1019/3*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))-1/256*sqrt(1291/3+1019/3*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[(5*x^6+3*x^4+x^2+4)/x^2/(x^4+2*x^2+3)^3,x,12,-4/27/x-25/144*x*(x^2+5)/(x^4+2*x^2+3)^2-x*(242*x^2+325)/(1728*x^4+3456*x^2+5184)+1/2304*sqrt(59711/3+18387*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))-1/2304*sqrt(59711/3+18387*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))+1/2304*sqrt(-59711/3+18387*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[(5*x^6+3*x^4+x^2+4)/x^4/(x^4+2*x^2+3)^3,x,12,-4/81/x^3+7/27/x+25/432*x*(5*x^2+7)/(x^4+2*x^2+3)^2+x*(1025*x^2+1474)/(5184*x^4+10368*x^2+15552)-1/20736*sqrt(10004741/3+3746817*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))-2*x)/sqrt(2+2*sqrt(3)))+1/20736*sqrt(10004741/3+3746817*sqrt(3))*arctan((sqrt(-2+2*sqrt(3))+2*x)/sqrt(2+2*sqrt(3)))-1/20736*sqrt(-10004741/3+3746817*sqrt(3))*arctanh(sqrt(-2+2*sqrt(3))*x/(sqrt(3)+x^2)),1],
[x*(g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x,7,1/2*(-b*g+c*f)*x^2/c^2+1/4*g*x^4/c-1/2*(2*c^3*d-c^2*(2*a*f+b*e)-b^3*g+b*c*(3*a*g+b*f))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/4*(c^2*e+b^2*g-c*(a*g+b*f))*ln(c*x^4+b*x^2+a)/c^3,1],
[x^4*(g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,6,(-2*b*g+c*f)*x/c^3+1/3*g*x^3/c^2+1/2*x*(a*(2*c^3*d-c^2*(2*a*f+b*e)-b^3*g+b*c*(3*a*g+b*f))+(b^3*c*f+b*c^2*(-3*a*f+c*d)-b^4*g-b^2*c*(-4*a*g+c*e)+2*a*c^2*(-a*g+c*e))*x^2)/c^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(3*b^3*c*f-b*c^2*(13*a*f+c*d)-5*b^4*g-b^2*c*(-24*a*g+c*e)+2*a*c^2*(-7*a*g+3*c*e)-(3*b^4*c*f-4*a*c^3*(-5*a*f+c*d)-b^2*c^2*(19*a*f+c*d)-5*b^5*g-b^3*c*(-34*a*g+c*e)+4*a*b*c^2*(-13*a*g+2*c*e))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(7/2)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(3*b^3*c*f-b*c^2*(13*a*f+c*d)-5*b^4*g-b^2*c*(-24*a*g+c*e)+2*a*c^2*(-7*a*g+3*c*e)+(3*b^4*c*f-4*a*c^3*(-5*a*f+c*d)-b^2*c^2*(19*a*f+c*d)-5*b^5*g-b^3*c*(-34*a*g+c*e)+4*a*b*c^2*(-13*a*g+2*c*e))/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(7/2)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^2*(g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,6,g*x/c^2-1/2*x*(b*c*(a*f+c*d)-a*b^2*g-2*a*c*(-a*g+c*e)+(2*c^3*d-c^2*(2*a*f+b*e)-b^3*g+b*c*(3*a*g+b*f))*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(2*c^3*d-c^2*(-6*a*f+b*e)+3*b^3*g-b*c*(13*a*g+b*f)+(b^3*c*f-4*b*c^2*(2*a*f+c*d)-3*b^4*g+4*a*c^2*(-5*a*g+c*e)+b^2*c*(19*a*g+c*e))/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*(2*c^3*d-c^2*(-6*a*f+b*e)+3*b^3*g-b*c*(13*a*g+b*f)-(b^3*c*f-4*b*c^2*(2*a*f+c*d)-3*b^4*g+4*a*c^2*(-5*a*g+c*e)+b^2*c*(19*a*g+c*e))/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],
[(g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x,4,1/2*x*(c*(b^2*d-2*a*(-a*f+c*d)-a*b*(a*g+c*e)/c)+(b*c*(a*f+c*d)-a*b^2*g-2*a*c*(-a*g+c*e))*x^2)/a/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b*(a*f+c*d)+a*b^2*g/c-2*a*(3*a*g+c*e)+(b^2*c*(-a*f+c*d)-4*a*c^2*(a*f+3*c*d)-a*b^3*g+4*a*b*c*(2*a*g+c*e))/c/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(c)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*(b*(a*f+c*d)+a*b^2*g/c-2*a*(3*a*g+c*e)-(b^2*c*(-a*f+c*d)-4*a*c^2*(a*f+3*c*d)-a*b^3*g+4*a*b*c*(2*a*g+c*e))/c/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(c)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[(g*x^6+f*x^4+e*x^2+d)/x^2/(c*x^4+b*x^2+a)^2,x,6,-d/a^2/x-1/2*x*(b^3*d-a*b^2*e-a*b*(-a*f+3*c*d)+2*a^2*(-a*g+c*e)+(b^2*c*d-2*a*c*(-a*f+c*d)-a*b*(a*g+c*e))*x^2)/a^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(3*b^2*c*d-2*a*c*(-a*f+5*c*d)-a*b*(a*g+c*e)+(3*b^3*c*d-4*a*b*c*(a*f+4*c*d)-a*b^2*(-a*g+c*e)+4*a^2*c*(a*g+3*c*e))/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(c)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(3*b^2*c*d-2*a*c*(-a*f+5*c*d)-a*b*(a*g+c*e)-(3*b^3*c*d-4*a*b*c*(a*f+4*c*d)-a*b^2*(-a*g+c*e)+4*a^2*c*(a*g+3*c*e))/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(c)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[(g*x^6+f*x^4+e*x^2+d)/x^4/(c*x^4+b*x^2+a)^2,x,6,-1/3*d/a^2/x^3+(-a*e+2*b*d)/a^3/x+1/2*x*((-2*a*c+b^2)*(b^2*d-a*b*e-a*(-a*f+c*d))-a*b*(b*c*d-a*(-a*g+c*e))+c*(b^3*d-a*b^2*e-a*b*(-a*f+3*c*d)+2*a^2*(-a*g+c*e))*x^2)/a^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(5*b^3*d-3*a*b^2*e-a*b*(-a*f+19*c*d)+2*a^2*(-a*g+5*c*e)+(5*b^4*d-3*a*b^3*e+4*a^2*c*(-3*a*f+7*c*d)-a*b^2*(-a*f+29*c*d)+4*a^2*b*(a*g+4*c*e))/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)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*sqrt(c)*(5*b^3*d-3*a*b^2*e-a*b*(-a*f+19*c*d)+2*a^2*(-a*g+5*c*e)-(5*b^4*d-3*a*b^3*e+4*a^2*c*(-3*a*f+7*c*d)-a*b^2*(-a*f+29*c*d)+4*a^2*b*(a*g+4*c*e))/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)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^4*sqrt(c*x^4+b*x^2+a)*(C*x^4+B*x^2+A),x,10,-1/3465*(176*b^4*B*c-792*a*b^2*B*c^2+462*a^2*B*c^3-128*b^5*C+3*a*b*c^2*(319*A*c-257*C*a)-24*b^3*c*(11*A*c-29*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(9/2)/(sqrt(a)+sqrt(c)*x^2)+1/3465*x*(88*b^3*B*c+33*a*b*B*c^2-64*b^4*C-15*a*c^2*(11*A*c-5*C*a)-12*b^2*c*(11*A*c-3*C*a)+3*c*(88*b^2*B*c-77*a*B*c^2-64*b^3*C-4*b*c*(33*A*c-29*C*a))*x^2)*sqrt(c*x^4+b*x^2+a)/c^4-1/231*(22*b*B*c-16*b^2*C-3*c*(11*A*c-5*C*a))*x*(c*x^4+b*x^2+a)^(3/2)/c^3+1/99*(11*B*c-8*C*b)*x^3*(c*x^4+b*x^2+a)^(3/2)/c^2+1/11*C*x^5*(c*x^4+b*x^2+a)^(3/2)/c+1/3465*a^(1/4)*(176*b^4*B*c-792*a*b^2*B*c^2+462*a^2*B*c^3-128*b^5*C+3*a*b*c^2*(319*A*c-257*C*a)-24*b^3*c*(11*A*c-29*C*a))*(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^(19/4)/sqrt(c*x^4+b*x^2+a)+1/6930*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(128*b^4*C-3*a*c^2*(77*sqrt(a)*B*sqrt(c)+55*A*c-25*a*C)+24*b^2*c*(11*sqrt(a)*B*sqrt(c)+11*A*c-13*a*C)+12*sqrt(a)*b*c^(3/2)*(22*sqrt(a)*B*sqrt(c)-33*A*c+29*a*C)-16*b^3*(11*B*c+12*sqrt(a)*sqrt(c)*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^(19/4)/sqrt(c*x^4+b*x^2+a),1],
[x^2*sqrt(c*x^4+b*x^2+a)*(C*x^4+B*x^2+A),x,7,1/315*(24*b^3*B*c-87*a*b*B*c^2-16*b^4*C-6*b^2*c*(7*A*c-12*C*a)+42*a*c^2*(3*A*c-C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(7/2)/(sqrt(a)+sqrt(c)*x^2)-1/315*x*(12*b^2*B+15*a*B*c-8*b^3*C/c-3*b*(7*A*c+C*a)+3*(12*b*B*c-8*b^2*C-7*c*(3*A*c-C*a))*x^2)*sqrt(c*x^4+b*x^2+a)/c^2+1/21*(3*B*c-2*C*b)*x*(c*x^4+b*x^2+a)^(3/2)/c^2+1/9*C*x^3*(c*x^4+b*x^2+a)^(3/2)/c-1/315*a^(1/4)*(24*b^3*B*c-87*a*b*B*c^2-16*b^4*C-6*b^2*c*(7*A*c-12*C*a)+42*a*c^2*(3*A*c-C*a))*(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)-1/630*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(16*b^3*C+6*b*c*(6*sqrt(a)*B*sqrt(c)+7*A*c-4*a*C)+3*sqrt(a)*c^(3/2)*(5*sqrt(a)*B*sqrt(c)-21*A*c+7*a*C)-24*b^2*(B*c+sqrt(a)*sqrt(c)*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^(15/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)*(C*x^4+B*x^2+A),x,6,-1/105*(14*b^2*B*c-42*a*B*c^2-8*b^3*C-b*c*(35*A*c-29*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)+1/105*x*(7*b*B*c+35*A*c^2-4*b^2*C-5*a*c*C+3*c*(7*B*c-4*C*b)*x^2)*sqrt(c*x^4+b*x^2+a)/c^2+1/7*C*x*(c*x^4+b*x^2+a)^(3/2)/c+1/105*a^(1/4)*(14*b^2*B*c-42*a*B*c^2-8*b^3*C-b*c*(35*A*c-29*C*a))*(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+2*sqrt(a)*sqrt(c))*(14*b*B*c-21*sqrt(a)*B*c^(3/2)-35*A*c^2-8*b^2*C+12*sqrt(a)*b*sqrt(c)*C+5*a*c*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^(11/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)*(C*x^4+B*x^2+A)/x^2,x,6,1/15*(5*b*B*c-2*b^2*C+6*c*(5*A*c+C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)-1/15*(15*A+3*a*C/c-(5*B-2*b*C/c)*x^2)*sqrt(c*x^4+b*x^2+a)/x+1/5*C*(c*x^4+b*x^2+a)^(3/2)/c/x-1/15*a^(1/4)*(5*b*B*c-2*b^2*C+6*c*(5*A*c+C*a))*(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*(b+2*sqrt(a)*sqrt(c))*(15*A*c^(3/2)+3*a*sqrt(c)*C+sqrt(a)*(5*B*c-2*C*b))*(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^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)*(C*x^4+B*x^2+A)/x^4,x,6,-1/3*(A+a*C/c-3*B*x^2)*sqrt(c*x^4+b*x^2+a)/x^3-1/3*(6*a*B+b*(A+a*C/c))*sqrt(c*x^4+b*x^2+a)/sqrt(a)/x/(sqrt(a)+sqrt(c)*x^2)+1/3*C*(c*x^4+b*x^2+a)^(3/2)/c/x^3-1/3*(A*b*c+6*B*a*c+C*a*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)))/a^(3/4)/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/6*(b+2*sqrt(a)*sqrt(c))*(3*sqrt(a)*B*sqrt(c)+A*c+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)/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)*(C*x^4+B*x^2+A)/x^6,x,7,-1/15*(A*b-5*a*(2*B*c+3*C*b)/c)*sqrt(c*x^4+b*x^2+a)/a/x^3+1/15*(2*A*(-3*a*c+b^2)-5*a*(B*b+6*C*a))*sqrt(c*x^4+b*x^2+a)/a^(3/2)/x/(sqrt(a)+sqrt(c)*x^2)-1/5*(A+5*a*C/c+5*(B+2*b*C/c)*x^2)*sqrt(c*x^4+b*x^2+a)/x^5+C*(c*x^4+b*x^2+a)^(3/2)/c/x^5+1/15*c^(1/4)*(2*A*(-3*a*c+b^2)-5*a*(B*b+6*C*a))*(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*(b+2*sqrt(a)*sqrt(c))*(2*A*b*sqrt(c)-5*a*B*sqrt(c)-3*sqrt(a)*A*c-15*a^(3/2)*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^(7/4)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)*(C*x^4+B*x^2+A)/x^8,x,8,-1/105*(3*A*b-7*a*(2*B-5*b*C/c))*sqrt(c*x^4+b*x^2+a)/a/x^5+1/105*(-10*A*a*c+4*A*b^2-7*B*a*b+70*C*a^2)*sqrt(c*x^4+b*x^2+a)/a^2/x^3-1/105*(A*(-29*a*b*c+8*b^3)-7*a*(-6*B*a*c+2*B*b^2-5*C*a*b))*sqrt(c*x^4+b*x^2+a)/a^(5/2)/x/(sqrt(a)+sqrt(c)*x^2)-1/21*(3*A-21*a*C/c+7*(B-4*b*C/c)*x^2)*sqrt(c*x^4+b*x^2+a)/x^7-C*(c*x^4+b*x^2+a)^(3/2)/c/x^7-1/105*c^(1/4)*(A*(-29*a*b*c+8*b^3)-7*a*(-6*B*a*c+2*B*b^2-5*C*a*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)))/a^(11/4)/sqrt(c*x^4+b*x^2+a)+1/210*(b+2*sqrt(a)*sqrt(c))*c^(1/4)*(8*A*b^2-14*a*b*B-12*sqrt(a)*A*b*sqrt(c)+21*a^(3/2)*B*sqrt(c)-5*a*A*c+35*a^2*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^(11/4)/sqrt(c*x^4+b*x^2+a),1],
[x^4*(c*x^4+b*x^2+a)^(3/2)*(C*x^4+B*x^2+A),x,11,1/45045*(384*b^6*B*c-3144*a*b^4*B*c^2+7065*a^2*b^2*B*c^3-2772*a^3*B*c^4-256*b^7*C+30*a*b^3*c^2*(156*A*c-209*C*a)-24*a^2*b*c^3*(351*A*c-194*C*a)-48*b^5*c*(13*A*c-48*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(11/2)/(sqrt(a)+sqrt(c)*x^2)-1/45045*x*(192*b^5*B*c-636*a*b^3*B*c^2-423*a^2*b*B*c^3-128*b^6*C-24*b^4*c*(13*A*c-22*C*a)+390*a^2*c^3*(3*A*c-C*a)+9*a*b^2*c^2*(91*A*c+C*a)+3*c*(192*b^4*B*c-876*a*b^2*B*c^2+462*a^2*B*c^3-128*b^5*C+3*a*b*c^2*(403*A*c-237*C*a)-8*b^3*c*(39*A*c-86*C*a))*x^2)*sqrt(c*x^4+b*x^2+a)/c^5+1/9009*x*(144*b^3*B*c-27*a*b*B*c^2-96*b^4*C-6*b^2*c*(39*A*c-16*C*a)-39*a*c^2*(3*A*c-C*a)+7*c*(48*b^2*B*c-33*a*B*c^2-32*b^3*C-6*b*c*(13*A*c-8*C*a))*x^2)*(c*x^4+b*x^2+a)^(3/2)/c^4-1/429*(24*b*B*c-16*b^2*C-13*c*(3*A*c-C*a))*x*(c*x^4+b*x^2+a)^(5/2)/c^3+1/39*(3*B*c-2*C*b)*x^3*(c*x^4+b*x^2+a)^(5/2)/c^2+1/15*C*x^5*(c*x^4+b*x^2+a)^(5/2)/c-1/45045*a^(1/4)*(384*b^6*B*c-3144*a*b^4*B*c^2+7065*a^2*b^2*B*c^3-2772*a^3*B*c^4-256*b^7*C+30*a*b^3*c^2*(156*A*c-209*C*a)-24*a^2*b*c^3*(351*A*c-194*C*a)-48*b^5*c*(13*A*c-48*C*a))*(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^(23/4)/sqrt(c*x^4+b*x^2+a)-1/90090*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(256*b^6*C-18*a*b^2*c^2*(146*sqrt(a)*B*sqrt(c)+156*A*c-119*a*C)+6*a^2*c^3*(231*sqrt(a)*B*sqrt(c)+195*A*c-65*a*C)+48*b^4*c*(12*sqrt(a)*B*sqrt(c)+13*A*c-32*a*C)+24*sqrt(a)*b^3*c^(3/2)*(83*sqrt(a)*B*sqrt(c)-39*A*c+86*a*C)-9*a^(3/2)*b*c^(5/2)*(201*sqrt(a)*B*sqrt(c)-403*A*c+237*a*C)-384*b^5*(B*c+sqrt(a)*sqrt(c)*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^(23/4)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(c*x^4+b*x^2+a)^(3/2)*(C*x^4+B*x^2+A),x,8,-1/45045*(624*b^5*B*c-4680*a*b^3*B*c^2+8424*a^2*b*B*c^3-384*b^6*C+3*a*b^2*c^2*(2717*A*c-2355*C*a)-8*b^4*c*(143*A*c-393*C*a)-924*a^2*c^3*(13*A*c-3*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(9/2)/(sqrt(a)+sqrt(c)*x^2)+1/45045*x*(312*b^4*B-819*a*b^2*B*c-1170*a^2*B*c^2-192*b^5*C/c-b^3*(572*A*c-636*C*a)+9*a*b*c*(143*A*c+47*C*a)+3*(312*b^3*B*c-1209*a*b*B*c^2-192*b^4*C+154*a*c^2*(13*A*c-3*C*a)-b^2*(572*A*c^2-876*C*a*c))*x^2)*sqrt(c*x^4+b*x^2+a)/c^3-1/9009*x*(234*b^2*B-429*A*b*c+117*a*B*c+27*a*b*C-144*b^3*C/c+7*(78*b*B*c-48*b^2*C-11*c*(13*A*c-3*C*a))*x^2)*(c*x^4+b*x^2+a)^(3/2)/c^2+1/143*(13*B*c-8*C*b)*x*(c*x^4+b*x^2+a)^(5/2)/c^2+1/13*C*x^3*(c*x^4+b*x^2+a)^(5/2)/c+1/45045*a^(1/4)*(624*b^5*B*c-4680*a*b^3*B*c^2+8424*a^2*b*B*c^3-384*b^6*C+3*a*b^2*c^2*(2717*A*c-2355*C*a)-8*b^4*c*(143*A*c-393*C*a)-924*a^2*c^3*(13*A*c-3*C*a))*(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^(19/4)/sqrt(c*x^4+b*x^2+a)+1/90090*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(384*b^5*C-3*a*b*c^2*(1209*sqrt(a)*B*sqrt(c)+1573*A*c-603*a*C)+8*b^3*c*(117*sqrt(a)*B*sqrt(c)+143*A*c-249*a*C)+12*sqrt(a)*b^2*c^(3/2)*(234*sqrt(a)*B*sqrt(c)-143*A*c+219*a*C)-6*a^(3/2)*c^(5/2)*(195*sqrt(a)*B*sqrt(c)-1001*A*c+231*a*C)-48*b^4*(13*B*c+12*sqrt(a)*sqrt(c)*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^(19/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)*(C*x^4+B*x^2+A),x,7,1/3465*(88*b^4*B*c-627*a*b^2*B*c^2+924*a^2*B*c^3-48*b^5*C-18*b^3*c*(11*A*c-20*C*a)+72*a*b*c^2*(22*A*c-9*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(7/2)/(sqrt(a)+sqrt(c)*x^2)-1/3465*x*(44*b^3*B*c-99*a*b*B*c^2-24*b^4*C-9*b^2*c*(11*A*c-7*C*a)-90*a*c^2*(11*A*c-C*a)+3*c*(44*b^2*B*c-154*a*B*c^2-24*b^3*C-3*b*c*(33*A*c-31*C*a))*x^2)*sqrt(c*x^4+b*x^2+a)/c^3+1/693*x*(99*A*c^2+33*b*B*c-9*a*c*C-18*b^2*C+7*c*(11*B*c-6*C*b)*x^2)*(c*x^4+b*x^2+a)^(3/2)/c^2+1/11*C*x*(c*x^4+b*x^2+a)^(5/2)/c-1/3465*a^(1/4)*(88*b^4*B*c-627*a*b^2*B*c^2+924*a^2*B*c^3-48*b^5*C-18*b^3*c*(11*A*c-20*C*a)+72*a*b*c^2*(22*A*c-9*C*a))*(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)-1/6930*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(48*b^4*C+6*b^2*c*(22*sqrt(a)*B*sqrt(c)+33*A*c-36*a*C)-6*a*c^2*(77*sqrt(a)*B*sqrt(c)+165*A*c-15*a*C)+3*sqrt(a)*b*c^(3/2)*(121*sqrt(a)*B*sqrt(c)-99*A*c+93*a*C)-8*b^3*(11*B*c+9*sqrt(a)*sqrt(c)*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^(15/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)*(C*x^4+B*x^2+A)/x^2,x,7,-1/315*(18*b^3*B*c-144*a*b*B*c^2-8*b^4*C-3*b^2*c*(21*A*c-19*C*a)-84*a*c^2*(9*A*c+C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)+1/315*x*(9*b^2*B+90*a*B*c-4*b^3*C/c+9*b*(49*A*c+C*a)+3*(9*b*B*c-4*b^2*C+14*c*(9*A*c+C*a))*x^2)*sqrt(c*x^4+b*x^2+a)/c-1/63*(63*A+7*a*C/c-(9*B-4*b*C/c)*x^2)*(c*x^4+b*x^2+a)^(3/2)/x+1/9*C*(c*x^4+b*x^2+a)^(5/2)/c/x+1/315*a^(1/4)*(18*b^3*B*c-144*a*b*B*c^2-8*b^4*C-3*b^2*c*(21*A*c-19*C*a)-84*a*c^2*(9*A*c+C*a))*(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)*(b+2*sqrt(a)*sqrt(c))*(8*b^3*C+3*b*c*(9*sqrt(a)*B*sqrt(c)+21*A*c-11*a*C)+6*sqrt(a)*c^(3/2)*(15*sqrt(a)*B*sqrt(c)+63*A*c+7*a*C)-6*b^2*(3*B*c+2*sqrt(a)*sqrt(c)*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^(11/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)*(C*x^4+B*x^2+A)/x^4,x,7,1/105*(21*b^2*B*c+252*a*B*c^2-6*b^3*C+8*b*c*(35*A*c+6*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)-1/105*(105*A*b*c+126*a*B*c+9*a*b*C-(70*A*c^2+21*B*b*c+30*C*a*c-6*C*b^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c/x-1/105*(35*A+15*a*C/c-3*(7*B-2*b*C/c)*x^2)*(c*x^4+b*x^2+a)^(3/2)/x^3+1/7*C*(c*x^4+b*x^2+a)^(5/2)/c/x^3-1/105*a^(1/4)*(21*b^2*B*c+252*a*B*c^2-6*b^3*C+8*b*c*(35*A*c+6*C*a))*(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)+1/210*(b+2*sqrt(a)*sqrt(c))*(105*A*b*c^(3/2)+30*a^(3/2)*c*C+9*a*sqrt(c)*(14*B*c+C*b)+sqrt(a)*(70*A*c^2+21*B*b*c-6*C*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)))/a^(1/4)/c^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)*(C*x^4+B*x^2+A)/x^6,x,7,-1/15*(3*A*(12*a*c+b^2)+a*(40*b*B+36*a*C+3*b^2*C/c))*sqrt(c*x^4+b*x^2+a)/sqrt(a)/x/(sqrt(a)+sqrt(c)*x^2)-1/15*(10*a*B+3*b*(A+a*C/c)-3*(6*A*c+5*B*b+6*C*a)*x^2)*sqrt(c*x^4+b*x^2+a)/x^3-1/15*(3*A+3*a*C/c-5*B*x^2)*(c*x^4+b*x^2+a)^(3/2)/x^5+1/5*C*(c*x^4+b*x^2+a)^(5/2)/c/x^5-1/15*c^(1/4)*(3*A*(12*a*c+b^2)+a*(40*b*B+36*a*C+3*b^2*C/c))*(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)+1/30*(b+2*sqrt(a)*sqrt(c))*(3*A*b*c+3*sqrt(a)*sqrt(c)*(6*A*c+5*B*b)+18*a^(3/2)*sqrt(c)*C+a*(10*B*c+3*C*b))*(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)/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)*(C*x^4+B*x^2+A)/x^8,x,8,-1/105*(3*A*(-20*a*c+b^2)-7*a*(24*b*B+20*a*C+15*b^2*C/c))*sqrt(c*x^4+b*x^2+a)/a/x^3+1/105*(6*A*(-8*a*b*c+b^3)-7*a*(36*B*a*c+3*B*b^2+40*C*a*b))*sqrt(c*x^4+b*x^2+a)/a^(3/2)/x/(sqrt(a)+sqrt(c)*x^2)-1/35*(3*A*b*c+42*a*B*c+35*a*b*C+5*(6*A*c^2+21*B*b*c+14*C*a*c+14*C*b^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c/x^5-1/21*(3*A+7*a*C/c-7*(3*B+2*b*C/c)*x^2)*(c*x^4+b*x^2+a)^(3/2)/x^7+1/3*C*(c*x^4+b*x^2+a)^(5/2)/c/x^7+1/105*c^(1/4)*(6*A*(-8*a*b*c+b^3)-7*a*(36*B*a*c+3*B*b^2+40*C*a*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)))/a^(7/4)/sqrt(c*x^4+b*x^2+a)-1/210*(3*A*c*(-20*a*c+b^2)-7*a*(24*B*b*c+20*C*a*c+15*C*b^2)+sqrt(c)*(6*A*(-8*a*b*c+b^3)-7*a*(36*B*a*c+3*B*b^2+40*C*a*b))/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)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[x^4*(C*x^4+B*x^2+A)/sqrt(c*x^4+b*x^2+a),x,7,-1/105*(28*b*B-35*A*c+25*a*C-24*b^2*C/c)*x*sqrt(c*x^4+b*x^2+a)/c^2+1/35*(7*B*c-6*C*b)*x^3*sqrt(c*x^4+b*x^2+a)/c^2+1/7*C*x^5*sqrt(c*x^4+b*x^2+a)/c+1/105*(56*b^2*B*c-63*a*B*c^2-48*b^3*C-2*b*c*(35*A*c-52*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(7/2)/(sqrt(a)+sqrt(c)*x^2)-1/105*a^(1/4)*(56*b^2*B*c-63*a*B*c^2-48*b^3*C-2*b*c*(35*A*c-52*C*a))*(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)+1/210*a^(1/4)*(sqrt(a)*(28*b*B-35*A*c+25*a*C-24*b^2*C/c)+(56*b^2*B*c-63*a*B*c^2-48*b^3*C-2*b*c*(35*A*c-52*C*a))/c^(3/2))*(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*(C*x^4+B*x^2+A)/sqrt(c*x^4+b*x^2+a),x,6,1/15*(5*B*c-4*C*b)*x*sqrt(c*x^4+b*x^2+a)/c^2+1/5*C*x^3*sqrt(c*x^4+b*x^2+a)/c-1/15*(10*b*B*c-8*b^2*C-3*c*(5*A*c-3*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)+1/15*a^(1/4)*(-15*A*c^2+10*B*b*c+9*C*a*c-8*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^(11/4)/sqrt(c*x^4+b*x^2+a)-1/30*a^(1/4)*(10*b*B*c+5*sqrt(a)*B*c^(3/2)-15*A*c^2-8*b^2*C-4*sqrt(a)*b*sqrt(c)*C+9*a*c*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^(11/4)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/sqrt(c*x^4+b*x^2+a),x,5,1/3*C*x*sqrt(c*x^4+b*x^2+a)/c+1/3*(3*B*c-2*C*b)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)-1/3*a^(1/4)*(3*B*c-2*C*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*(3*A*c-a*C+sqrt(a)*(3*B*c-2*C*b)/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^(5/4)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^2/sqrt(c*x^4+b*x^2+a),x,5,-A*sqrt(c*x^4+b*x^2+a)/a/x+(A*c+C*a)*x*sqrt(c*x^4+b*x^2+a)/a/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)-(A*c+C*a)*(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)/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/2*(sqrt(a)*B*sqrt(c)+A*c+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)/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^4/sqrt(c*x^4+b*x^2+a),x,5,-1/3*A*sqrt(c*x^4+b*x^2+a)/a/x^3+1/3*(2*A*b-3*B*a)*sqrt(c*x^4+b*x^2+a)/a^(3/2)/x/(sqrt(a)+sqrt(c)*x^2)+1/3*(2*A*b-3*B*a)*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*A*b-3*B*a)*sqrt(c)/sqrt(a)+A*c-3*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^(5/4)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^6/sqrt(c*x^4+b*x^2+a),x,6,-1/5*A*sqrt(c*x^4+b*x^2+a)/a/x^5+1/15*(4*A*b-5*B*a)*sqrt(c*x^4+b*x^2+a)/a^2/x^3-1/15*(-9*A*a*c+8*A*b^2-10*B*a*b+15*C*a^2)*sqrt(c*x^4+b*x^2+a)/a^(5/2)/x/(sqrt(a)+sqrt(c)*x^2)-1/15*c^(1/4)*(-9*A*a*c+8*A*b^2-10*B*a*b+15*C*a^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^(11/4)/sqrt(c*x^4+b*x^2+a)+1/30*c^(1/4)*((4*A*b-5*B*a)*sqrt(c)+(A*(-9*a*c+8*b^2)-5*a*(2*B*b-3*C*a))/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^(9/4)/sqrt(c*x^4+b*x^2+a),1],
[x^4*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a)^(3/2),x,6,-x*(a*(b*B*c-b^2*C-2*c*(A*c-C*a))+(b^2*B*c-2*a*B*c^2-b^3*C-b*c*(A*c-3*C*a))*x^2)/c^2/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+1/3*C*x*sqrt(c*x^4+b*x^2+a)/c^2+1/3*(6*b^2*B-3*A*b*c-18*a*B*c+29*a*b*C-8*b^3*C/c)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)-1/3*a^(1/4)*(6*b^2*B-3*A*b*c-18*a*B*c+29*a*b*C-8*b^3*C/c)*(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)+1/6*a^(1/4)*(6*b*B*c-9*sqrt(a)*B*c^(3/2)-3*A*c^2-8*b^2*C+12*sqrt(a)*b*sqrt(c)*C+5*a*c*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)))/(b-2*sqrt(a)*sqrt(c))/c^(11/4)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a)^(3/2),x,5,-x*(A*b*c-2*a*B*c+a*b*C-(b*B*c-b^2*C-2*c*(A*c-C*a))*x^2)/c/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-(-2*A*c^2+B*b*c+6*C*a*c-2*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)+a^(1/4)*(-2*A*c^2+B*b*c+6*C*a*c-2*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*c^(3/2)-3*a*sqrt(c)*C-sqrt(a)*(B*c-2*C*b))*(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^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a)^(3/2),x,5,x*(A*b^2-a*b*B-2*a*A*c+2*a^2*C+(A*b*c-2*B*a*c+C*a*b)*x^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-(A*b*c-2*B*a*c+C*a*b)*x*sqrt(c*x^4+b*x^2+a)/a/sqrt(c)/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+(A*b*c-2*B*a*c+C*a*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)))/a^(3/4)/c^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+1/2*(sqrt(a)*B*sqrt(c)-A*c-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)/(b-2*sqrt(a)*sqrt(c))/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^2/(c*x^4+b*x^2+a)^(3/2),x,6,-x*(a*(A*b^3/a-b*(3*A*c+B*b)+a*(2*B*c+C*b))+c*(-2*A*a*c+A*b^2-B*a*b+2*C*a^2)*x^2)/a^2/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-A*sqrt(c*x^4+b*x^2+a)/a^2/x+sqrt(c)*(2*A*(-3*a*c+b^2)-a*(B*b-2*C*a))*x*sqrt(c*x^4+b*x^2+a)/a^2/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)-c^(1/4)*(2*A*(-3*a*c+b^2)-a*(B*b-2*C*a))*(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*A*b*sqrt(c)-a*B*sqrt(c)-3*sqrt(a)*A*c+a^(3/2)*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^(7/4)/(b-2*sqrt(a)*sqrt(c))/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^4/(c*x^4+b*x^2+a)^(3/2),x,7,x*(a^2*(A*b^4/a^2+3*b*B*c+2*A*c^2-b^2*(4*A*c+B*b)/a+b^2*C-2*a*c*C)+c*(A*(-3*a*b*c+b^3)-a*(-2*B*a*c+B*b^2-C*a*b))*x^2)/a^3/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/3*A*sqrt(c*x^4+b*x^2+a)/a^2/x^3+1/3*(5*A*b-3*B*a)*sqrt(c*x^4+b*x^2+a)/a^3/x-1/3*sqrt(c)*(A*(-29*a*b*c+8*b^3)-3*a*(-6*B*a*c+2*B*b^2-C*a*b))*x*sqrt(c*x^4+b*x^2+a)/a^3/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+1/3*c^(1/4)*(A*(-29*a*b*c+8*b^3)-3*a*(-6*B*a*c+2*B*b^2-C*a*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)))/a^(11/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/6*c^(1/4)*(A*(8*b^2-12*sqrt(a)*b*sqrt(c)-5*a*c)-3*a*(2*b*B-3*sqrt(a)*B*sqrt(c)-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^(11/4)/(b-2*sqrt(a)*sqrt(c))/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^6/(c*x^4+b*x^2+a)^(3/2),x,8,-x*(A*(5*a^2*b*c^2-5*a*b^3*c+b^5)-a*(2*B*a^2*c^2-4*B*a*b^2*c+B*b^4+3*C*a^2*b*c-C*a*b^3)+c*(A*(2*a^2*c^2-4*a*b^2*c+b^4)-a*(-3*B*a*b*c+B*b^3+2*C*a^2*c-C*a*b^2))*x^2)/a^4/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/5*A*sqrt(c*x^4+b*x^2+a)/a^2/x^5+1/15*(9*A*b-5*B*a)*sqrt(c*x^4+b*x^2+a)/a^3/x^3-1/15*(-24*A*a*c+33*A*b^2-25*B*a*b+15*C*a^2)*sqrt(c*x^4+b*x^2+a)/a^4/x+1/15*sqrt(c)*(6*A*(21*a^2*c^2-36*a*b^2*c+8*b^4)-5*a*(-29*B*a*b*c+8*B*b^3+18*C*a^2*c-6*C*a*b^2))*x*sqrt(c*x^4+b*x^2+a)/a^4/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)-1/15*c^(1/4)*(6*A*(21*a^2*c^2-36*a*b^2*c+8*b^4)-5*a*(-29*B*a*b*c+8*B*b^3+18*C*a^2*c-6*C*a*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^(15/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+1/30*c^(1/4)*(A*(48*b^3-72*sqrt(a)*b^2*sqrt(c)-72*a*b*c+63*a^(3/2)*c^(3/2))-5*a*(8*b^2*B-5*a*B*c+9*a^(3/2)*sqrt(c)*C-6*b*(2*sqrt(a)*B*sqrt(c)+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^(15/4)/(b-2*sqrt(a)*sqrt(c))/sqrt(c*x^4+b*x^2+a),1],
[x^6*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a)^(5/2),x,6,1/3*x*(a*(b^2*B*c-2*a*B*c^2-b^3*C-b*c*(A*c-3*C*a))+(b^3*B*c-3*a*b*B*c^2-b^4*C-b^2*c*(A*c-4*C*a)+2*a*c^2*(A*c-C*a))*x^2)/c^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)-1/3*x*(b^4*B*c-7*a*b^2*B*c^2+28*a^2*B*c^3-b^5*C-b^3*c*(A*c-11*C*a)-4*a*b*c^2*(A*c+9*C*a)-c*(2*b^3*B*c-16*a*b*B*c^2-5*b^4*C+12*a*c^2*(A*c-3*C*a)+b^2*c*(A*c+33*C*a))*x^2)/c^3/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/3*(2*b^3*B*c-16*a*b*B*c^2-8*b^4*C+12*a*c^2*(A*c-7*C*a)+b^2*c*(A*c+57*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(-4*a*c+b^2)^2/(sqrt(a)+sqrt(c)*x^2)+1/3*a^(1/4)*(2*b^3*B*c-16*a*b*B*c^2-8*b^4*C+12*a*c^2*(A*c-7*C*a)+b^2*c*(A*c+57*C*a))*(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)/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)+1/6*a^(1/4)*(8*b^3*C+b*c*(3*sqrt(a)*B*sqrt(c)-A*c-33*a*C)+2*sqrt(a)*c^(3/2)*(5*sqrt(a)*B*sqrt(c)-3*A*c+21*a*C)-2*b^2*(B*c+6*sqrt(a)*sqrt(c)*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)))/(b-2*sqrt(a)*sqrt(c))/c^(11/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[x^4*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a)^(5/2),x,6,-1/3*x*(a*(b*B*c-b^2*C-2*c*(A*c-C*a))+(b^2*B*c-2*a*B*c^2-b^3*C-b*c*(A*c-3*C*a))*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)+1/3*x*(b^3*B*c+4*a*b*B*c^2-b^4*C+4*a*c^2*(A*c-7*C*a)-b^2*c*(5*A*c-7*C*a)+c*(b^2*B*c+12*a*B*c^2+2*b^3*C-8*b*c*(A*c+2*C*a))*x^2)/c^2/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/3*(b^2*B*c+12*a*B*c^2+2*b^3*C-8*b*c*(A*c+2*C*a))*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(-4*a*c+b^2)^2/(sqrt(a)+sqrt(c)*x^2)+1/3*a^(1/4)*(b^2*B*c+12*a*B*c^2+2*b^3*C-8*b*c*(A*c+2*C*a))*(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)^2/sqrt(c*x^4+b*x^2+a)+1/6*(3*A*b*c^(3/2)+10*a^(3/2)*c*C-3*a*sqrt(c)*(2*B*c-C*b)-sqrt(a)*(-2*A*c^2+B*b*c+2*C*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)))/a^(1/4)/(b-2*sqrt(a)*sqrt(c))/c^(7/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a)^(5/2),x,6,-1/3*x*(A*b*c-2*a*B*c+a*b*C-(b*B*c-b^2*C-2*c*(A*c-C*a))*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)+1/3*x*(A*b*c*(4*a*c+b^2)-a*(-4*B*a*c^2+5*B*b^2*c-4*C*a*b*c-C*b^3)+c*(A*c*(12*a*c+b^2)-a*(8*B*b*c-12*C*a*c-C*b^2))*x^2)/a/c/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/3*(A*c*(12*a*c+b^2)-a*(8*B*b*c-12*C*a*c-C*b^2))*x*sqrt(c*x^4+b*x^2+a)/a/sqrt(c)/(-4*a*c+b^2)^2/(sqrt(a)+sqrt(c)*x^2)+1/3*(A*c*(12*a*c+b^2)-a*(8*B*b*c-12*C*a*c-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)/c^(3/4)/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/6*(A*b*c-3*sqrt(a)*sqrt(c)*(-2*A*c+B*b)+6*a^(3/2)*sqrt(c)*C-a*(2*B*c-C*b))*(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))/c^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a)^(5/2),x,6,1/3*x*(A*b^2-a*b*B-2*a*A*c+2*a^2*C+(A*b*c-2*B*a*c+C*a*b)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)+1/3*x*(A*(20*a^2*c^2-17*a*b^2*c+2*b^4)+a*(4*B*a*b*c+B*b^3+4*C*a^2*c-5*C*a*b^2)+c*(2*A*(-8*a*b*c+b^3)+a*(12*B*a*c+B*b^2-8*C*a*b))*x^2)/a^2/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/3*sqrt(c)*(2*A*(-8*a*b*c+b^3)+a*(12*B*a*c+B*b^2-8*C*a*b))*x*sqrt(c*x^4+b*x^2+a)/a^2/(-4*a*c+b^2)^2/(sqrt(a)+sqrt(c)*x^2)+1/3*c^(1/4)*(2*A*(-8*a*b*c+b^3)+a*(12*B*a*c+B*b^2-8*C*a*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)))/a^(7/4)/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/6*(A*(2*b^2*sqrt(c)-3*sqrt(a)*b*c-10*a*c^(3/2))+a*(b*B*sqrt(c)+6*sqrt(a)*B*c-3*sqrt(a)*b*C-2*a*sqrt(c)*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^(7/4)/(b-2*sqrt(a)*sqrt(c))/c^(1/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^2/(c*x^4+b*x^2+a)^(5/2),x,7,-1/3*x*(a*(A*b^3/a-b*(3*A*c+B*b)+a*(2*B*c+C*b))+c*(-2*A*a*c+A*b^2-B*a*b+2*C*a^2)*x^2)/a^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)-1/3*x*(a*(5*A*b^5/a-b^3*(37*A*c+2*B*b)-4*a^2*c*(5*B*c+C*b)+a*b*(60*A*c^2+17*B*b*c-C*b^2))+c*(A*(36*a^2*c^2-33*a*b^2*c+5*b^4)-a*(-16*B*a*b*c+2*B*b^3+12*C*a^2*c+C*a*b^2))*x^2)/a^3/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-A*sqrt(c*x^4+b*x^2+a)/a^3/x+1/3*sqrt(c)*(A*(84*a^2*c^2-57*a*b^2*c+8*b^4)-a*(-16*B*a*b*c+2*B*b^3+12*C*a^2*c+C*a*b^2))*x*sqrt(c*x^4+b*x^2+a)/a^3/(-4*a*c+b^2)^2/(sqrt(a)+sqrt(c)*x^2)-1/3*c^(1/4)*(A*(84*a^2*c^2-57*a*b^2*c+8*b^4)-a*(-16*B*a*b*c+2*B*b^3+12*C*a^2*c+C*a*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^(11/4)/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)+1/6*c^(1/4)*(A*(8*b^3-12*sqrt(a)*b^2*sqrt(c)-33*a*b*c+42*a^(3/2)*c^(3/2))-a*(2*b^2*B-3*sqrt(a)*b*B*sqrt(c)-10*a*B*c+a*b*C+6*a^(3/2)*sqrt(c)*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^(11/4)/(b-2*sqrt(a)*sqrt(c))/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^4/(c*x^4+b*x^2+a)^(5/2),x,8,1/3*x*(a^2*(A*b^4/a^2+3*b*B*c+2*A*c^2-b^2*(4*A*c+B*b)/a+b^2*C-2*a*c*C)+c*(A*(-3*a*b*c+b^3)-a*(-2*B*a*c+B*b^2-C*a*b))*x^2)/a^3/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)+1/3*x*(a^2*(8*A*b^6/a^2-b^4*(63*A*c+5*B*b)/a+20*a^2*c^2*C+b^2*(131*A*c^2+37*B*b*c+2*C*b^2)-a*c*(44*A*c^2+60*B*b*c+17*C*b^2))+c*(8*A*(11*a^2*b*c^2-7*a*b^3*c+b^5)-a*(36*B*a^2*c^2-33*B*a*b^2*c+5*B*b^4+16*C*a^2*b*c-2*C*a*b^3))*x^2)/a^4/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/3*A*sqrt(c*x^4+b*x^2+a)/a^3/x^3+1/3*(8*A*b-3*B*a)*sqrt(c*x^4+b*x^2+a)/a^4/x-1/3*sqrt(c)*(8*A*(27*a^2*b*c^2-15*a*b^3*c+2*b^5)-a*(84*B*a^2*c^2-57*B*a*b^2*c+8*B*b^4+16*C*a^2*b*c-2*C*a*b^3))*x*sqrt(c*x^4+b*x^2+a)/a^4/(-4*a*c+b^2)^2/(sqrt(a)+sqrt(c)*x^2)+1/3*c^(1/4)*(8*A*(27*a^2*b*c^2-15*a*b^3*c+2*b^5)-a*(84*B*a^2*c^2-57*B*a*b^2*c+8*B*b^4+16*C*a^2*b*c-2*C*a*b^3))*(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^(15/4)/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/6*c^(1/4)*(A*(16*b^4-24*sqrt(a)*b^3*sqrt(c)-72*a*b^2*c+93*a^(3/2)*b*c^(3/2)+30*a^2*c^2)-a*(8*b^3*B+42*a^(3/2)*B*c^(3/2)+10*a^2*c*C-2*b^2*(6*sqrt(a)*B*sqrt(c)+a*C)-3*b*(11*a*B*c-a^(3/2)*sqrt(c)*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^(15/4)/(b-2*sqrt(a)*sqrt(c))/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[(21+28*x^2+10*(3+sqrt(2))*x^4)/x^4/sqrt(2*x^4+2*x^2+1),x,3,-7*sqrt(2*x^4+2*x^2+1)/x^3+2^(1/4)*(5+4*sqrt(2))*(1+sqrt(2)*x^2)*sqrt((2*x^4+2*x^2+1)/(1+sqrt(2)*x^2)^2)*InverseJacobiAM(2*arctan(2^(1/4)*x),sqrt(1/2-1/4*sqrt(2)))/sqrt(2*x^4+2*x^2+1),1],
[x^4*(C*x^4+B*x^2+A)/sqrt(3*x^4+5*x^2+2),x,7,-2/2835*(525*A-511*B+480*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)+1/189*(21*A-28*B+30*C)*x*sqrt(3*x^4+5*x^2+2)+1/105*(7*B-10*C)*x^3*sqrt(3*x^4+5*x^2+2)+1/21*C*x^5*sqrt(3*x^4+5*x^2+2)+2/2835*sqrt(2)*(525*A-511*B+480*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)-1/189*sqrt(2)*(21*A-28*B+30*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2),1],
[x^2*(C*x^4+B*x^2+A)/sqrt(3*x^4+5*x^2+2),x,6,1/405*(135*A-150*B+146*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)+1/27*(3*B-4*C)*x*sqrt(3*x^4+5*x^2+2)+1/15*C*x^3*sqrt(3*x^4+5*x^2+2)-1/405*sqrt(2)*(135*A-150*B+146*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)-1/27*sqrt(2)*(3*B-4*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/sqrt(3*x^4+5*x^2+2),x,5,1/27*(9*B-10*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)+1/9*C*x*sqrt(3*x^4+5*x^2+2)-1/27*sqrt(2)*(9*B-10*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)+1/9*(9*A-2*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^2/sqrt(3*x^4+5*x^2+2),x,5,1/6*(3*A+2*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)-1/2*A*sqrt(3*x^4+5*x^2+2)/x-1/3*(3*A+2*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)+B*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^4/sqrt(3*x^4+5*x^2+2),x,5,-1/6*A*sqrt(3*x^4+5*x^2+2)/x^3+1/6*(5*A-3*B)*sqrt(3*x^4+5*x^2+2)/x/(x^2+1)+1/3*(5*A-3*B)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)-1/2*(A-2*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^6/sqrt(3*x^4+5*x^2+2),x,6,-1/10*A*sqrt(3*x^4+5*x^2+2)/x^5+1/6*(2*A-B)*sqrt(3*x^4+5*x^2+2)/x^3-1/60*(73*A-50*B+30*C)*sqrt(3*x^4+5*x^2+2)/x/(x^2+1)-1/30*(73*A-50*B+30*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)+1/2*(2*A-B)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^8/sqrt(3*x^4+5*x^2+2),x,7,-1/14*A*sqrt(3*x^4+5*x^2+2)/x^7+1/70*(15*A-7*B)*sqrt(3*x^4+5*x^2+2)/x^5-1/84*(45*A-28*B+14*C)*sqrt(3*x^4+5*x^2+2)/x^3+1/420*(720*A-511*B+350*C)*sqrt(3*x^4+5*x^2+2)/x/(x^2+1)+1/210*(720*A-511*B+350*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)-1/28*(45*A-28*B+14*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[x^6*(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(3/2),x,7,2/405*(315*A-325*B+356*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)-1/27*x*(90*A-78*B+70*C+(117*A-105*B+97*C)*x^2)/sqrt(3*x^4+5*x^2+2)+1/27*(B-3*C)*x*sqrt(3*x^4+5*x^2+2)+1/45*C*x^3*sqrt(3*x^4+5*x^2+2)-2/405*sqrt(2)*(315*A-325*B+356*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)+1/27*sqrt(2)*(45*A-40*B+38*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2),1],
[x^4*(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(3/2),x,6,-1/81*(135*A-126*B+130*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)+1/9*x*(36*A-30*B+26*C+(45*A-39*B+35*C)*x^2)/sqrt(3*x^4+5*x^2+2)+1/27*C*x*sqrt(3*x^4+5*x^2+2)+1/81*sqrt(2)*(135*A-126*B+130*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)-1/27*sqrt(2)*(54*A-45*B+40*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2),1],
[x^2*(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(3/2),x,5,1/9*(18*A-15*B+14*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)-1/3*x*(15*A-12*B+10*C+(18*A-15*B+13*C)*x^2)/sqrt(3*x^4+5*x^2+2)-1/9*sqrt(2)*(18*A-15*B+14*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)+1/3*(15*A-12*B+10*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(3/2),x,4,1/6*(9*A-6*B+4*C)*x/sqrt(3*x^4+5*x^2+2)+1/3*(15*A-12*B+10*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)-(6*A-5*B+4*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^2/(3*x^4+5*x^2+2)^(3/2),x,6,-1/4*A*sqrt(3*x^4+5*x^2+2)/x+1/4*x*(6*B-4*C+A*(3*x^2-7))/sqrt(3*x^4+5*x^2+2)-(7*A-5*B+4*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)+1/2*(15*A-12*B+10*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^4/(3*x^4+5*x^2+2)^(3/2),x,7,1/24*x*(31*A-42*B+36*C-3*(25*A-6*B)*x^2)/sqrt(3*x^4+5*x^2+2)-1/12*A*sqrt(3*x^4+5*x^2+2)/x^3+1/24*(25*A-6*B)*sqrt(3*x^4+5*x^2+2)/x+1/6*(65*A-42*B+30*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)-1/2*(20*A-15*B+12*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^6/(3*x^4+5*x^2+2)^(3/2),x,8,1/60*(534*A-325*B+210*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)-1/16*x*(275*A-194*B+140*C+3*(97*A-70*B+52*C)*x^2)/sqrt(3*x^4+5*x^2+2)-1/20*A*sqrt(3*x^4+5*x^2+2)/x^5+1/24*(9*A-2*B)*sqrt(3*x^4+5*x^2+2)/x^3-1/240*(681*A-250*B+60*C)*sqrt(3*x^4+5*x^2+2)/x-1/30*(534*A-325*B+210*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)+1/4*(57*A-40*B+30*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[x^8*(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(5/2),x,7,1/243*x*(234*A-210*B+194*C+(315*A-291*B+275*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)+2/243*(1035*A-789*B+560*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)-1/243*x*(5247*A-4065*B+3043*C+3*(2070*A-1587*B+1160*C)*x^2)/sqrt(3*x^4+5*x^2+2)+1/81*C*x*sqrt(3*x^4+5*x^2+2)-2/243*sqrt(2)*(1035*A-789*B+560*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)+5/81*sqrt(2)*(171*A-132*B+98*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2),1],
[x^6*(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(5/2),x,6,-1/81*x*(90*A-78*B+70*C+(117*A-105*B+97*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)-1/81*(873*A-690*B+526*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)+1/81*x*(2205*A-1749*B+1355*C+3*(873*A-690*B+529*C)*x^2)/sqrt(3*x^4+5*x^2+2)+1/81*sqrt(2)*(873*A-690*B+526*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)-5/27*sqrt(2)*(72*A-57*B+44*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2),1],
[x^4*(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(5/2),x,5,1/27*x*(36*A-30*B+26*C+(45*A-39*B+35*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)-1/9*(63*A-51*B+41*C)*x/sqrt(3*x^4+5*x^2+2)-1/27*sqrt(2)*(360*A-291*B+230*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(3*x^4+5*x^2+2)+1/9*(297*A-240*B+190*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[x^2*(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(5/2),x,5,-1/9*x*(15*A-12*B+10*C+(18*A-15*B+13*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)+1/6*(51*A-42*B+34*C)*x/sqrt(3*x^4+5*x^2+2)+1/9*(291*A-240*B+194*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)-1/3*(120*A-99*B+80*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/(3*x^4+5*x^2+2)^(5/2),x,5,1/6*x*(13*A-10*B+8*C+(15*A-12*B+10*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)-1/2*(20*A-17*B+14*C)*x/sqrt(3*x^4+5*x^2+2)-1/3*(115*A-97*B+80*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)+1/2*(95*A-80*B+66*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^2/(3*x^4+5*x^2+2)^(5/2),x,7,-1/12*x*(35*A-26*B+20*C+3*(13*A-10*B+8*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)-1/12*(263*A-230*B+194*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)+1/24*x*(1325*A-1160*B+980*C+3*(529*A-460*B+388*C)*x^2)/sqrt(3*x^4+5*x^2+2)-1/8*A*sqrt(3*x^4+5*x^2+2)/x+1/6*(263*A-230*B+194*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)-5/2*(22*A-19*B+16*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^4/(3*x^4+5*x^2+2)^(5/2),x,8,1/24*x*(97*A-70*B+52*C+3*(35*A-26*B+20*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)+1/12*(280*A-263*B+230*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)-1/24*x*(1427*A-1325*B+1160*C+3*(580*A-529*B+460*C)*x^2)/sqrt(3*x^4+5*x^2+2)-1/24*A*sqrt(3*x^4+5*x^2+2)/x^3+1/24*(20*A-3*B)*sqrt(3*x^4+5*x^2+2)/x-1/6*(280*A-263*B+230*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)+5/4*(49*A-44*B+38*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(C*x^4+B*x^2+A)/x^6/(3*x^4+5*x^2+2)^(5/2),x,9,-1/48*x*(275*A-194*B+140*C+3*(97*A-70*B+52*C)*x^2)/(3*x^4+5*x^2+2)^(3/2)-1/120*(2521*A-2800*B+2630*C)*x*(3*x^2+2)/sqrt(3*x^4+5*x^2+2)+1/96*x*(5495*A-5708*B+5300*C+3*(2335*A-2320*B+2116*C)*x^2)/sqrt(3*x^4+5*x^2+2)-1/40*A*sqrt(3*x^4+5*x^2+2)/x^5+1/24*(7*A-B)*sqrt(3*x^4+5*x^2+2)/x^3-1/480*(1591*A-400*B+60*C)*sqrt(3*x^4+5*x^2+2)/x+1/60*(2521*A-2800*B+2630*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2)-1/4*(254*A-245*B+220*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(13*A-10*B+8*C+2*(15*A-12*B+10*C)*x^2+(18*A-15*B+13*C)*x^4)/(3*x^4+5*x^2+2)^(3/2),x,2,1/6*(9*A-6*B+4*C)*x/sqrt(3*x^4+5*x^2+2)+1/3*(15*A-12*B+10*C)*(x^2+1)*sqrt((3*x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(-1/2))/sqrt(2)/sqrt(3*x^4+5*x^2+2),1],
[(d*x)^m*(c*x^4+b*x^2+a)^p*(C*x^4+B*x^2+A),x,9,C*(d*x)^(1+m)*(c*x^4+b*x^2+a)^(p+1)/c/d/(5+m+4*p)-(a*C*(1+m)-A*c*(5+m+4*p))*(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)))/c/d/(1+m)/(5+m+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)-(b*C*(3+m+2*p)-B*c*(5+m+4*p))*(d*x)^(3+m)*(c*x^4+b*x^2+a)^p*AppellF1(3/2+1/2*m,-p,-p,5/2+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)))/c/d^3/(3+m)/(5+m+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],
[(d*x)^m*(c*x^4+b*x^2+a)^p*(a*(1+m)+b*(3+m+2*p)*x^2+c*(5+m+4*p)*x^4),x,1,(d*x)^(1+m)*(c*x^4+b*x^2+a)^(p+1)/d,1],
[x^2*(c*x^4+b*x^2+a)^p*(3*a+b*(5+2*p)*x^2+c*(7+4*p)*x^4),x,1,x^3*(c*x^4+b*x^2+a)^(p+1),1]]: