lst:=[[x^7*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,7,1/7*a^3*(B*b*x+A*b-C*a)/b^5/(b*x^2+a)^(7/2)-1/35*a^2*(22*B*b*x+21*A*b-28*C*a)/b^5/(b*x^2+a)^(5/2)+1/105*a*(122*B*b*x+105*A*b-210*C*a)/b^5/(b*x^2+a)^(3/2)-1/105*(176*B*b*x+105*A*b-420*C*a)/b^5/sqrt(b*x^2+a)+C*sqrt(b*x^2+a)/b^5+B*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[x^6*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,6,1/7*a^2*(a*B-(A*b-C*a)*x)/b^4/(b*x^2+a)^(7/2)-1/35*a*(21*a*B-(15*A*b-22*C*a)*x)/b^4/(b*x^2+a)^(5/2)+1/105*(105*a*B-(45*A*b-122*C*a)*x)/b^4/(b*x^2+a)^(3/2)-1/105*(105*a*B-(15*A*b-176*C*a)*x)/a/b^4/sqrt(b*x^2+a)+C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[x^5*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,4,-1/7*a^2*(B*b*x+A*b-C*a)/b^4/(b*x^2+a)^(7/2)+1/35*a*(15*B*b*x+14*A*b-21*C*a)/b^4/(b*x^2+a)^(5/2)-1/21*(9*B*b*x+7*A*b-21*C*a)/b^4/(b*x^2+a)^(3/2)-1/7*(-B*b*x+7*C*a)/a/b^4/sqrt(b*x^2+a),1],
[x^4*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,4,-1/7*x^4*(a*B-(A*b-C*a)*x)/a/b/(b*x^2+a)^(7/2)-4/21*B/b^3/(b*x^2+a)^(3/2)+1/35*(4*a^3*B+b^2*(2*A*b+5*C*a)*x^5)/a^2/b^3/(b*x^2+a)^(5/2),1],
[x^3*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,4,1/7*a*(B*b*x+A*b-C*a)/b^3/(b*x^2+a)^(7/2)-1/35*(8*B*b*x+7*A*b-14*C*a)/b^3/(b*x^2+a)^(5/2)-1/105*(-3*B*b*x+35*C*a)/a/b^3/(b*x^2+a)^(3/2)+2/35*B*x/a^2/b^2/sqrt(b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,4,1/7*(a*B-(A*b-C*a)*x)/b^2/(b*x^2+a)^(7/2)-1/35*(7*a*B-(A*b-8*C*a)*x)/a/b^2/(b*x^2+a)^(5/2)+1/105*(4*A*b+3*C*a)*x/a^2/b^2/(b*x^2+a)^(3/2)+2/105*(4*A*b+3*C*a)*x/a^3/b^2/sqrt(b*x^2+a),1],
[x*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,4,-1/7*(B*b*x+A*b-C*a)/b^2/(b*x^2+a)^(7/2)-1/35*(-B*b*x+7*C*a)/a/b^2/(b*x^2+a)^(5/2)+4/105*B*x/a^2/b/(b*x^2+a)^(3/2)+8/105*B*x/a^3/b/sqrt(b*x^2+a),1],
[(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x,4,-1/7*(a*B-(A*b-C*a)*x)/a/b/(b*x^2+a)^(7/2)+1/35*(6*A*b+C*a)*x/a^2/b/(b*x^2+a)^(5/2)+4/105*(6*A*b+C*a)*x/a^3/b/(b*x^2+a)^(3/2)+8/105*(6*A*b+C*a)*x/a^4/b/sqrt(b*x^2+a),1],
[(C*x^2+B*x+A)/x/(b*x^2+a)^(9/2),x,7,1/7*(B*b*x+A*b-C*a)/a/b/(b*x^2+a)^(7/2)+1/35*(6*B*x+7*A)/a^2/(b*x^2+a)^(5/2)+1/105*(24*B*x+35*A)/a^3/(b*x^2+a)^(3/2)+1/35*(16*B*x+35*A)/a^4/sqrt(b*x^2+a)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(9/2),1],
[(C*x^2+B*x+A)/x^2/(b*x^2+a)^(9/2),x,7,1/7*(B*b*x+A*b-C*a)/a/b/x/(b*x^2+a)^(7/2)+1/35*(7*a*B-(8*A*b-C*a)*x)/a^3/(b*x^2+a)^(5/2)+1/105*(35*B*b*x+72*A*b-9*C*a)/a^3/b/x/(b*x^2+a)^(3/2)+1/35*(35*a*B-8*(8*A*b-C*a)*x)/a^5/sqrt(b*x^2+a)-8/35*(8*A*b-C*a)*sqrt(b*x^2+a)/a^5/b/x-B*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(9/2),1],
[(C*x^2+B*x+A)/x^3/(b*x^2+a)^(9/2),x,8,1/7*(B*b*x+A*b-C*a)/a/b/x^2/(b*x^2+a)^(7/2)-1/35*(8*B*b*x+9*A*b-2*C*a)/a^3/(b*x^2+a)^(5/2)-2/105*(36*B*b*x+45*A*b-10*C*a)/a^4/(b*x^2+a)^(3/2)-1/35*(88*B*b*x+135*A*b-30*C*a)/a^5/sqrt(b*x^2+a)-1/14*(9*A*b-2*C*a)*sqrt(b*x^2+a)/a^5/b/x^2-8/7*B*sqrt(b*x^2+a)/a^5/x+1/2*(9*A*b-2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(11/2),1],
[x^3*(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,2,1/4*a*A*x^4+1/5*a*B*x^5+1/6*(A*b+C*a)*x^6+1/7*(B*b+D*a)*x^7+1/8*b*C*x^8+1/9*b*D*x^9,1],
[x^2*(b*x^2+a)*(D*x^3+C*x^2+B*x+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+D*a)*x^6+1/7*b*C*x^7+1/8*b*D*x^8,1],
[x*(b*x^2+a)*(D*x^3+C*x^2+B*x+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+D*a)*x^5+1/6*b*C*x^6+1/7*b*D*x^7,1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,2,a*A*x+1/2*a*B*x^2+1/3*(A*b+C*a)*x^3+1/4*(B*b+D*a)*x^4+1/5*b*C*x^5+1/6*b*D*x^6,1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x,x,2,a*B*x+1/2*(A*b+C*a)*x^2+1/3*(B*b+D*a)*x^3+1/4*b*C*x^4+1/5*b*D*x^5+a*A*ln(x),1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^2,x,2,-a*A/x+(A*b+C*a)*x+1/2*(B*b+D*a)*x^2+1/3*b*C*x^3+1/4*b*D*x^4+a*B*ln(x),1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^3,x,2,-1/2*a*A/x^2-a*B/x+(B*b+D*a)*x+1/2*b*C*x^2+1/3*b*D*x^3+(A*b+C*a)*ln(x),1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^4,x,2,-1/3*a*A/x^3-1/2*a*B/x^2-(A*b+C*a)/x+b*C*x+1/2*b*D*x^2+(B*b+D*a)*ln(x),1],
[x^3*(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x,2,1/4*a^2*A*x^4+1/5*a^2*B*x^5+1/6*a*(2*A*b+C*a)*x^6+1/7*a*(2*B*b+D*a)*x^7+1/8*b*(A*b+2*C*a)*x^8+1/9*b*(B*b+2*D*a)*x^9+1/10*b^2*C*x^10+1/11*b^2*D*x^11,1],
[x^2*(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),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+1/6*a*(2*B*b+D*a)*x^6+1/7*b*(A*b+2*C*a)*x^7+1/8*b*(B*b+2*D*a)*x^8+1/9*b^2*C*x^9+1/10*b^2*D*x^10,1],
[x*(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x,4,1/3*a^2*B*x^3+1/4*a^2*C*x^4+1/5*a*(2*B*b+D*a)*x^5+1/3*a*b*C*x^6+1/7*b*(B*b+2*D*a)*x^7+1/8*b^2*C*x^8+1/9*b^2*D*x^9+1/6*A*(b*x^2+a)^3/b,1],
[(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x,3,a^2*A*x+1/3*a*(2*A*b+C*a)*x^3+1/4*a^2*D*x^4+1/5*b*(A*b+2*C*a)*x^5+1/3*a*b*D*x^6+1/7*b^2*C*x^7+1/8*b^2*D*x^8+1/6*B*(b*x^2+a)^3/b,1],
[(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/x,x,3,a^2*B*x+a*A*b*x^2+1/3*a*(2*B*b+D*a)*x^3+1/4*A*b^2*x^4+1/5*b*(B*b+2*D*a)*x^5+1/7*b^2*D*x^7+1/6*C*(b*x^2+a)^3/b+a^2*A*ln(x),1],
[(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/x^2,x,3,-a^2*A/x+a*(2*A*b+C*a)*x+a*b*B*x^2+1/3*b*(A*b+2*C*a)*x^3+1/4*b^2*B*x^4+1/5*b^2*C*x^5+1/6*D*(b*x^2+a)^3/b+a^2*B*ln(x),1],
[(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/x^3,x,2,-1/2*a^2*A/x^2-a^2*B/x+a*(2*B*b+D*a)*x+1/2*b*(A*b+2*C*a)*x^2+1/3*b*(B*b+2*D*a)*x^3+1/4*b^2*C*x^4+1/5*b^2*D*x^5+a*(2*A*b+C*a)*ln(x),1],
[(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/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+b*(A*b+2*C*a)*x+1/2*b*(B*b+2*D*a)*x^2+1/3*b^2*C*x^3+1/4*b^2*D*x^4+a*(2*B*b+D*a)*ln(x),1],
[x^3*(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x,2,1/4*a^3*A*x^4+1/5*a^3*B*x^5+1/6*a^2*(3*A*b+C*a)*x^6+1/7*a^2*(3*B*b+D*a)*x^7+3/8*a*b*(A*b+C*a)*x^8+1/3*a*b*(B*b+D*a)*x^9+1/10*b^2*(A*b+3*C*a)*x^10+1/11*b^2*(B*b+3*D*a)*x^11+1/12*b^3*C*x^12+1/13*b^3*D*x^13,1],
[x^2*(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x,2,1/3*a^3*A*x^3+1/4*a^3*B*x^4+1/5*a^2*(3*A*b+C*a)*x^5+1/6*a^2*(3*B*b+D*a)*x^6+3/7*a*b*(A*b+C*a)*x^7+3/8*a*b*(B*b+D*a)*x^8+1/9*b^2*(A*b+3*C*a)*x^9+1/10*b^2*(B*b+3*D*a)*x^10+1/11*b^3*C*x^11+1/12*b^3*D*x^12,1],
[x*(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x,4,1/3*a^3*B*x^3+1/4*a^3*C*x^4+1/5*a^2*(3*B*b+D*a)*x^5+1/2*a^2*b*C*x^6+3/7*a*b*(B*b+D*a)*x^7+3/8*a*b^2*C*x^8+1/9*b^2*(B*b+3*D*a)*x^9+1/10*b^3*C*x^10+1/11*b^3*D*x^11+1/8*A*(b*x^2+a)^4/b,1],
[(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x,3,a^3*A*x+1/3*a^2*(3*A*b+C*a)*x^3+1/4*a^3*D*x^4+3/5*a*b*(A*b+C*a)*x^5+1/2*a^2*b*D*x^6+1/7*b^2*(A*b+3*C*a)*x^7+3/8*a*b^2*D*x^8+1/9*b^3*C*x^9+1/10*b^3*D*x^10+1/8*B*(b*x^2+a)^4/b,1],
[(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x,x,3,a^3*B*x+3/2*a^2*A*b*x^2+1/3*a^2*(3*B*b+D*a)*x^3+3/4*a*A*b^2*x^4+3/5*a*b*(B*b+D*a)*x^5+1/6*A*b^3*x^6+1/7*b^2*(B*b+3*D*a)*x^7+1/9*b^3*D*x^9+1/8*C*(b*x^2+a)^4/b+a^3*A*ln(x),1],
[(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x^2,x,3,-a^3*A/x+a^2*(3*A*b+C*a)*x+3/2*a^2*b*B*x^2+a*b*(A*b+C*a)*x^3+3/4*a*b^2*B*x^4+1/5*b^2*(A*b+3*C*a)*x^5+1/6*b^3*B*x^6+1/7*b^3*C*x^7+1/8*D*(b*x^2+a)^4/b+a^3*B*ln(x),1],
[(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x^3,x,2,-1/2*a^3*A/x^2-a^3*B/x+a^2*(3*B*b+D*a)*x+3/2*a*b*(A*b+C*a)*x^2+a*b*(B*b+D*a)*x^3+1/4*b^2*(A*b+3*C*a)*x^4+1/5*b^2*(B*b+3*D*a)*x^5+1/6*b^3*C*x^6+1/7*b^3*D*x^7+a^2*(3*A*b+C*a)*ln(x),1],
[(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x^4,x,2,-1/3*a^3*A/x^3-1/2*a^3*B/x^2-a^2*(3*A*b+C*a)/x+3*a*b*(A*b+C*a)*x+3/2*a*b*(B*b+D*a)*x^2+1/3*b^2*(A*b+3*C*a)*x^3+1/4*b^2*(B*b+3*D*a)*x^4+1/5*b^3*C*x^5+1/6*b^3*D*x^6+a^2*(3*B*b+D*a)*ln(x),1],
[x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,5,-a*(B*b-D*a)*x/b^3+1/2*(A*b-C*a)*x^2/b^2+1/3*(B*b-D*a)*x^3/b^2+1/4*C*x^4/b+1/5*D*x^5/b+a^(3/2)*(B*b-D*a)*arctan(sqrt(b)*x/sqrt(a))/b^(7/2)-1/2*a*(A*b-C*a)*ln(b*x^2+a)/b^3,1],
[x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,5,(A*b-C*a)*x/b^2+1/2*(B*b-D*a)*x^2/b^2+1/3*C*x^3/b+1/4*D*x^4/b-sqrt(a)*(A*b-C*a)*arctan(sqrt(b)*x/sqrt(a))/b^(5/2)-1/2*a*(B*b-D*a)*ln(b*x^2+a)/b^3,1],
[x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,5,(B*b-D*a)*x/b^2+1/2*C*x^2/b+1/3*D*x^3/b-sqrt(a)*(B*b-D*a)*arctan(sqrt(b)*x/sqrt(a))/b^(5/2)+1/2*(A*b-C*a)*ln(b*x^2+a)/b^2,1],
[(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,5,C*x/b+1/2*D*x^2/b+(A*b-C*a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(3/2)+1/2*(B*b-D*a)*ln(b*x^2+a)/b^2,1],
[(D*x^3+C*x^2+B*x+A)/x/(b*x^2+a),x,5,D*x/b+(B*b-D*a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(3/2)+A*ln(x)/a-1/2*(A*b-C*a)*ln(b*x^2+a)/a/b,1],
[(D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a),x,5,-A/a/x-(A*b-C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/sqrt(b)+B*ln(x)/a-1/2*(B*b-D*a)*ln(b*x^2+a)/a/b,1],
[(D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a),x,5,-1/2*A/a/x^2-B/a/x-(B*b-D*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/sqrt(b)-(A*b-C*a)*ln(x)/a^2+1/2*(A*b-C*a)*ln(b*x^2+a)/a^2,1],
[(D*x^3+C*x^2+B*x+A)/x^4/(b*x^2+a),x,5,-1/3*A/a/x^3-1/2*B/a/x^2+(A*b-C*a)/a^2/x+sqrt(b)*(A*b-C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)-(B*b-D*a)*ln(x)/a^2+1/2*(B*b-D*a)*ln(b*x^2+a)/a^2,1],
[(D*x^3+C*x^2+B*x+A)/x^5/(b*x^2+a),x,5,-1/4*A/a/x^4-1/3*B/a/x^3+1/2*(A*b-C*a)/a^2/x^2+(B*b-D*a)/a^2/x+sqrt(b)*(B*b-D*a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)+b*(A*b-C*a)*ln(x)/a^3-1/2*b*(A*b-C*a)*ln(b*x^2+a)/a^3,1],
[x^4*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,6,(A*b-2*C*a)*x/b^3+1/2*(B*b-2*D*a)*x^2/b^3+1/3*C*x^3/b^2+1/4*D*x^4/b^2-1/2*a*(a*(B*b-D*a)-b*(A*b-C*a)*x)/b^4/(b*x^2+a)-1/2*sqrt(a)*(3*A*b-5*C*a)*arctan(sqrt(b)*x/sqrt(a))/b^(7/2)-1/2*a*(2*B*b-3*D*a)*ln(b*x^2+a)/b^4,1],
[x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,6,(B*b-2*D*a)*x/b^3+1/2*C*x^2/b^2+1/3*D*x^3/b^2+1/2*a*(A*b-a*C+(B*b-D*a)*x)/b^3/(b*x^2+a)-1/2*sqrt(a)*(3*B*b-5*D*a)*arctan(sqrt(b)*x/sqrt(a))/b^(7/2)+1/2*(A*b-2*C*a)*ln(b*x^2+a)/b^3,1],
[x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,6,C*x/b^2+1/2*D*x^2/b^2+1/2*(a*(B*b-D*a)-b*(A*b-C*a)*x)/b^3/(b*x^2+a)+1/2*(A*b-3*C*a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(5/2)+1/2*(B*b-2*D*a)*ln(b*x^2+a)/b^3,1],
[x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,6,D*x/b^2-1/2*(A*b-a*C+(B*b-D*a)*x)/b^2/(b*x^2+a)+1/2*(B*b-3*D*a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(5/2)+1/2*C*ln(b*x^2+a)/b^2,1],
[(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,4,-1/2*(a*(B*b-D*a)-b*(A*b-C*a)*x)/a/b^2/(b*x^2+a)+1/2*(A*b+C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(3/2)+1/2*D*ln(b*x^2+a)/b^2,1],
[(D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^2,x,6,1/2*(A*b-a*C+(B*b-D*a)*x)/a/b/(b*x^2+a)+1/2*(B*b+D*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(3/2)+A*ln(x)/a^2-1/2*A*ln(b*x^2+a)/a^2,1],
[(D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a)^2,x,6,-A/a^2/x+1/2*(a*(B*b-D*a)-b*(A*b-C*a)*x)/a^2/b/(b*x^2+a)-1/2*(3*A*b-C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/sqrt(b)+B*ln(x)/a^2-1/2*B*ln(b*x^2+a)/a^2,1],
[(D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a)^2,x,6,-1/2*A/a^2/x^2-B/a^2/x-1/2*(A*b-a*C+(B*b-D*a)*x)/a^2/(b*x^2+a)-1/2*(3*B*b-D*a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/sqrt(b)-(2*A*b-C*a)*ln(x)/a^3+1/2*(2*A*b-C*a)*ln(b*x^2+a)/a^3,1],
[x^4*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x,7,C*x/b^3+1/2*D*x^2/b^3-1/4*a*(a*(B*b-D*a)-b*(A*b-C*a)*x)/b^4/(b*x^2+a)^2+1/8*(4*a*(2*B*b-3*D*a)-b*(5*A*b-9*C*a)*x)/b^4/(b*x^2+a)+3/8*(A*b-5*C*a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(7/2)+1/2*(B*b-3*D*a)*ln(b*x^2+a)/b^4,1],
[x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x,7,D*x/b^3+1/4*a*(A*b-a*C+(B*b-D*a)*x)/b^3/(b*x^2+a)^2-1/8*(4*A*b-8*a*C+(5*B*b-9*D*a)*x)/b^3/(b*x^2+a)+3/8*(B*b-5*D*a)*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(7/2)+1/2*C*ln(b*x^2+a)/b^3,1],
[x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x,5,1/4*(a*(B*b-D*a)-b*(A*b-C*a)*x)/b^3/(b*x^2+a)^2-1/8*(4*a*(B*b-2*D*a)-b*(A*b-5*C*a)*x)/a/b^3/(b*x^2+a)+1/8*(A*b+3*C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(5/2)+1/2*D*ln(b*x^2+a)/b^3,1],
[x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x,3,-1/4*(A*b-a*C+(B*b-D*a)*x)/b^2/(b*x^2+a)^2-1/8*(4*a*C-(B*b-5*D*a)*x)/a/b^2/(b*x^2+a)+1/8*(B*b+3*D*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x,3,-1/4*(a*(B*b-D*a)-b*(A*b-C*a)*x)/a/b^2/(b*x^2+a)^2-1/8*(4*a^2*D-b*(3*A*b+C*a)*x)/a^2/b^2/(b*x^2+a)+1/8*(3*A*b+C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/b^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^3,x,7,1/4*(A*b-a*C+(B*b-D*a)*x)/a/b/(b*x^2+a)^2+1/8*(4*A*b+(3*B*b+D*a)*x)/a^2/b/(b*x^2+a)+1/8*(3*B*b+D*a)*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/b^(3/2)+A*ln(x)/a^3-1/2*A*ln(b*x^2+a)/a^3,1],
[(D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a)^3,x,7,-A/a^3/x+1/4*(a*(B*b-D*a)-b*(A*b-C*a)*x)/a^2/b/(b*x^2+a)^2+1/8*(4*a*B-(7*A*b-3*C*a)*x)/a^3/(b*x^2+a)-3/8*(5*A*b-C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/sqrt(b)+B*ln(x)/a^3-1/2*B*ln(b*x^2+a)/a^3,1],
[(D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a)^3,x,7,-1/2*A/a^3/x^2-B/a^3/x-1/4*(A*b-a*C+(B*b-D*a)*x)/a^2/(b*x^2+a)^2-1/8*(8*A*b-4*a*C+(7*B*b-3*D*a)*x)/a^3/(b*x^2+a)-3/8*(5*B*b-D*a)*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/sqrt(b)-(3*A*b-C*a)*ln(x)/a^4+1/2*(3*A*b-C*a)*ln(b*x^2+a)/a^4,1],
[x^3*sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,10,-1/128*a^2*(8*B*b-5*D*a)*x*sqrt(b*x^2+a)/b^3+1/192*a*(8*B*b-5*D*a)*x^3*sqrt(b*x^2+a)/b^2+1/48*(8*B*b-5*D*a)*x^5*sqrt(b*x^2+a)/b-1/3*a*(A*b-C*a)*(b*x^2+a)^(3/2)/b^3+1/8*D*x^5*(b*x^2+a)^(3/2)/b+1/5*(A*b-2*C*a)*(b*x^2+a)^(5/2)/b^3+1/7*C*(b*x^2+a)^(7/2)/b^3+1/128*a^3*(8*B*b-5*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,9,1/16*a*(2*A*b-C*a)*x*sqrt(b*x^2+a)/b^2+1/8*(2*A*b-C*a)*x^3*sqrt(b*x^2+a)/b-1/3*a*(B*b-D*a)*(b*x^2+a)^(3/2)/b^3+1/6*C*x^3*(b*x^2+a)^(3/2)/b+1/5*(B*b-2*D*a)*(b*x^2+a)^(5/2)/b^3+1/7*D*(b*x^2+a)^(7/2)/b^3-1/16*a^2*(2*A*b-C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,9,1/16*a*(2*B*b-D*a)*x*sqrt(b*x^2+a)/b^2+1/8*(2*B*b-D*a)*x^3*sqrt(b*x^2+a)/b+1/3*(A*b-C*a)*(b*x^2+a)^(3/2)/b^2+1/6*D*x^3*(b*x^2+a)^(3/2)/b+1/5*C*(b*x^2+a)^(5/2)/b^2-1/16*a^2*(2*B*b-D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,8,1/8*(4*A*b-C*a)*x*sqrt(b*x^2+a)/b+1/3*(B*b-D*a)*(b*x^2+a)^(3/2)/b^2+1/4*C*x*(b*x^2+a)^(3/2)/b+1/5*D*(b*x^2+a)^(5/2)/b^2+1/8*a*(4*A*b-C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x,x,8,1/8*(8*A*b+(4*B*b-D*a)*x)*sqrt(b*x^2+a)/b+1/3*C*(b*x^2+a)^(3/2)/b+1/4*D*x*(b*x^2+a)^(3/2)/b+1/8*a*(4*B*b-D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-sqrt(a)*A*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^2,x,8,1/2*(2*a*B+(2*A*b+C*a)*x)*sqrt(b*x^2+a)/a+1/3*D*(b*x^2+a)^(3/2)/b-A*(b*x^2+a)^(3/2)/a/x+1/2*(2*A*b+C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-sqrt(a)*B*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^3,x,8,1/2*(A*b+2*a*C+(2*B*b+D*a)*x)*sqrt(b*x^2+a)/a-1/2*A*(b*x^2+a)^(3/2)/a/x^2-B*(b*x^2+a)^(3/2)/a/x+1/2*(2*B*b+D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*(A*b+2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^4,x,8,-1/2*(2*a*C-(B*b+2*D*a)*x)*sqrt(b*x^2+a)/a/x-1/3*A*(b*x^2+a)^(3/2)/a/x^3-1/2*B*(b*x^2+a)^(3/2)/a/x^2+sqrt(b)*C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-1/2*(B*b+2*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^5,x,8,1/8*(-8*D*a*x+A*b-4*C*a)*sqrt(b*x^2+a)/a/x^2-1/4*A*(b*x^2+a)^(3/2)/a/x^4-1/3*B*(b*x^2+a)^(3/2)/a/x^3+sqrt(b)*D*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/8*b*(A*b-4*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^6,x,8,1/8*(B*b-4*D*a)*sqrt(b*x^2+a)/a/x^2-1/5*A*(b*x^2+a)^(3/2)/a/x^5-1/4*B*(b*x^2+a)^(3/2)/a/x^4+1/15*(2*A*b-5*C*a)*(b*x^2+a)^(3/2)/a^2/x^3+1/8*b*(B*b-4*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^7,x,9,1/8*(A*b-2*C*a)*sqrt(b*x^2+a)/a/x^4+1/16*b*(A*b-2*C*a)*sqrt(b*x^2+a)/a^2/x^2-1/6*A*(b*x^2+a)^(3/2)/a/x^6-1/5*B*(b*x^2+a)^(3/2)/a/x^5+1/15*(2*B*b-5*D*a)*(b*x^2+a)^(3/2)/a^2/x^3-1/16*b^2*(A*b-2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^8,x,10,-1/6*B*sqrt(b*x^2+a)/x^6-1/24*(B*b+6*D*a)*sqrt(b*x^2+a)/a/x^4+1/16*b*(B*b-2*D*a)*sqrt(b*x^2+a)/a^2/x^2-1/7*A*(b*x^2+a)^(3/2)/a/x^7+1/35*(4*A*b-7*C*a)*(b*x^2+a)^(3/2)/a^2/x^5-2/105*b*(4*A*b-7*C*a)*(b*x^2+a)^(3/2)/a^3/x^3-1/16*b^2*(B*b-2*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^9,x,11,-1/8*A*sqrt(b*x^2+a)/x^8-1/48*(A*b+8*C*a)*sqrt(b*x^2+a)/a/x^6+1/192*b*(5*A*b-8*C*a)*sqrt(b*x^2+a)/a^2/x^4-1/128*b^2*(5*A*b-8*C*a)*sqrt(b*x^2+a)/a^3/x^2-1/7*B*(b*x^2+a)^(3/2)/a/x^7+1/35*(4*B*b-7*D*a)*(b*x^2+a)^(3/2)/a^2/x^5-2/105*b*(4*B*b-7*D*a)*(b*x^2+a)^(3/2)/a^3/x^3+1/128*b^3*(5*A*b-8*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^3*(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A),x,11,-3/256*a^3*(2*B*b-D*a)*x*sqrt(b*x^2+a)/b^3+1/128*a^2*(2*B*b-D*a)*x^3*sqrt(b*x^2+a)/b^2+1/32*a*(2*B*b-D*a)*x^5*sqrt(b*x^2+a)/b+1/16*(2*B*b-D*a)*x^5*(b*x^2+a)^(3/2)/b-1/5*a*(A*b-C*a)*(b*x^2+a)^(5/2)/b^3+1/10*D*x^5*(b*x^2+a)^(5/2)/b+1/7*(A*b-2*C*a)*(b*x^2+a)^(7/2)/b^3+1/9*C*(b*x^2+a)^(9/2)/b^3+3/256*a^4*(2*B*b-D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A),x,10,1/128*a^2*(8*A*b-3*C*a)*x*sqrt(b*x^2+a)/b^2+1/64*a*(8*A*b-3*C*a)*x^3*sqrt(b*x^2+a)/b+1/48*(8*A*b-3*C*a)*x^3*(b*x^2+a)^(3/2)/b-1/5*a*(B*b-D*a)*(b*x^2+a)^(5/2)/b^3+1/8*C*x^3*(b*x^2+a)^(5/2)/b+1/7*(B*b-2*D*a)*(b*x^2+a)^(7/2)/b^3+1/9*D*(b*x^2+a)^(9/2)/b^3-1/128*a^3*(8*A*b-3*C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A),x,10,1/128*a^2*(8*B*b-3*D*a)*x*sqrt(b*x^2+a)/b^2+1/64*a*(8*B*b-3*D*a)*x^3*sqrt(b*x^2+a)/b+1/48*(8*B*b-3*D*a)*x^3*(b*x^2+a)^(3/2)/b+1/5*(A*b-C*a)*(b*x^2+a)^(5/2)/b^2+1/8*D*x^3*(b*x^2+a)^(5/2)/b+1/7*C*(b*x^2+a)^(7/2)/b^2-1/128*a^3*(8*B*b-3*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A),x,9,1/16*a*(6*A*b-C*a)*x*sqrt(b*x^2+a)/b+1/24*(6*A*b-C*a)*x*(b*x^2+a)^(3/2)/b+1/5*(B*b-D*a)*(b*x^2+a)^(5/2)/b^2+1/6*C*x*(b*x^2+a)^(5/2)/b+1/7*D*(b*x^2+a)^(7/2)/b^2+1/16*a^2*(6*A*b-C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x,x,9,1/16*a*(16*A*b+(6*B*b-D*a)*x)*sqrt(b*x^2+a)/b+1/24*(8*A*b+(6*B*b-D*a)*x)*(b*x^2+a)^(3/2)/b+1/5*C*(b*x^2+a)^(5/2)/b+1/6*D*x*(b*x^2+a)^(5/2)/b+1/16*a^2*(6*B*b-D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-a^(3/2)*A*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^2,x,9,1/8*(8*a*B+3*(4*A*b+C*a)*x)*sqrt(b*x^2+a)+1/12*(4*a*B+3*(4*A*b+C*a)*x)*(b*x^2+a)^(3/2)/a+1/5*D*(b*x^2+a)^(5/2)/b-A*(b*x^2+a)^(5/2)/a/x+3/8*a*(4*A*b+C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-a^(3/2)*B*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^3,x,9,1/8*(12*A*b+8*a*C+3*(4*B*b+D*a)*x)*sqrt(b*x^2+a)+1/12*(6*A*b+4*a*C+3*(4*B*b+D*a)*x)*(b*x^2+a)^(3/2)/a-1/2*A*(b*x^2+a)^(5/2)/a/x^2-B*(b*x^2+a)^(5/2)/a/x+3/8*a*(4*B*b+D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*sqrt(a)*(3*A*b+2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^4,x,9,1/2*(a*(3*B*b+2*D*a)+b*(2*A*b+3*C*a)*x)*sqrt(b*x^2+a)/a-1/6*(4*A*b+6*a*C-(3*B*b+2*D*a)*x)*(b*x^2+a)^(3/2)/a/x-1/3*A*(b*x^2+a)^(5/2)/a/x^3-1/2*B*(b*x^2+a)^(5/2)/a/x^2+1/2*sqrt(b)*(2*A*b+3*C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-1/2*sqrt(a)*(3*B*b+2*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^5,x,9,1/8*b*(3*A*b+12*a*C+4*(2*B*b+3*D*a)*x)*sqrt(b*x^2+a)/a-1/24*(3*A*b+12*a*C+8*(2*B*b+3*D*a)*x)*(b*x^2+a)^(3/2)/a/x^2-1/4*A*(b*x^2+a)^(5/2)/a/x^4-1/3*B*(b*x^2+a)^(5/2)/a/x^3+1/2*sqrt(b)*(2*B*b+3*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-3/8*b*(A*b+4*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^6,x,9,-1/8*b*(8*a*C-3*(B*b+4*D*a)*x)*sqrt(b*x^2+a)/a/x-1/24*(8*a*C+3*(B*b+4*D*a)*x)*(b*x^2+a)^(3/2)/a/x^3-1/5*A*(b*x^2+a)^(5/2)/a/x^5-1/4*B*(b*x^2+a)^(5/2)/a/x^4+b^(3/2)*C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-3/8*b*(B*b+4*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^7,x,9,1/16*b*(-16*D*a*x+A*b-6*C*a)*sqrt(b*x^2+a)/a/x^2+1/24*(-8*D*a*x+A*b-6*C*a)*(b*x^2+a)^(3/2)/a/x^4-1/6*A*(b*x^2+a)^(5/2)/a/x^6-1/5*B*(b*x^2+a)^(5/2)/a/x^5+b^(3/2)*D*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/16*b^2*(A*b-6*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^8,x,9,1/24*(B*b-6*D*a)*sqrt(b*x^2+a)/x^4+5/48*b*(B*b-6*D*a)*sqrt(b*x^2+a)/a/x^2-1/7*A*(b*x^2+a)^(5/2)/a/x^7-1/6*B*(b*x^2+a)^(5/2)/a/x^6+1/35*(2*A*b-7*C*a)*(b*x^2+a)^(5/2)/a^2/x^5+1/16*b^2*(B*b-6*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^9,x,10,1/48*(3*A*b-8*C*a)*sqrt(b*x^2+a)/x^6+7/192*b*(3*A*b-8*C*a)*sqrt(b*x^2+a)/a/x^4+1/128*b^2*(3*A*b-8*C*a)*sqrt(b*x^2+a)/a^2/x^2-1/8*A*(b*x^2+a)^(5/2)/a/x^8-1/7*B*(b*x^2+a)^(5/2)/a/x^7+1/35*(2*B*b-7*D*a)*(b*x^2+a)^(5/2)/a^2/x^5-1/128*b^3*(3*A*b-8*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^10,x,11,-1/48*(3*B*b+8*D*a)*sqrt(b*x^2+a)/x^6-1/192*b*(3*B*b+56*D*a)*sqrt(b*x^2+a)/a/x^4+1/128*b^2*(3*B*b-8*D*a)*sqrt(b*x^2+a)/a^2/x^2-1/8*B*(b*x^2+a)^(3/2)/x^8-1/9*A*(b*x^2+a)^(5/2)/a/x^9+1/63*(4*A*b-9*C*a)*(b*x^2+a)^(5/2)/a^2/x^7-2/315*b*(4*A*b-9*C*a)*(b*x^2+a)^(5/2)/a^3/x^5-1/128*b^3*(3*B*b-8*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x^11,x,12,-1/80*(3*A*b+10*C*a)*sqrt(b*x^2+a)/x^8-1/160*b*(A*b+30*C*a)*sqrt(b*x^2+a)/a/x^6+1/128*b^2*(A*b-2*C*a)*sqrt(b*x^2+a)/a^2/x^4-3/256*b^3*(A*b-2*C*a)*sqrt(b*x^2+a)/a^3/x^2-1/10*A*(b*x^2+a)^(3/2)/x^10-1/9*B*(b*x^2+a)^(5/2)/a/x^9+1/63*(4*B*b-9*D*a)*(b*x^2+a)^(5/2)/a^2/x^7-2/315*b*(4*B*b-9*D*a)*(b*x^2+a)^(5/2)/a^3/x^5+3/256*b^4*(A*b-2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^4*(D*x^3+C*x^2+B*x+A)/sqrt(b*x^2+a),x,9,a^2*(B*b-D*a)*sqrt(b*x^2+a)/b^4-1/16*a*(6*A*b-5*C*a)*x*sqrt(b*x^2+a)/b^3+1/24*(6*A*b-5*C*a)*x^3*sqrt(b*x^2+a)/b^2+1/6*C*x^5*sqrt(b*x^2+a)/b-1/3*a*(2*B*b-3*D*a)*(b*x^2+a)^(3/2)/b^4+1/5*(B*b-3*D*a)*(b*x^2+a)^(5/2)/b^4+1/7*D*(b*x^2+a)^(7/2)/b^4+1/16*a^2*(6*A*b-5*C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^3*(D*x^3+C*x^2+B*x+A)/sqrt(b*x^2+a),x,9,-a*(A*b-C*a)*sqrt(b*x^2+a)/b^3-1/16*a*(6*B*b-5*D*a)*x*sqrt(b*x^2+a)/b^3+1/24*(6*B*b-5*D*a)*x^3*sqrt(b*x^2+a)/b^2+1/6*D*x^5*sqrt(b*x^2+a)/b+1/3*(A*b-2*C*a)*(b*x^2+a)^(3/2)/b^3+1/5*C*(b*x^2+a)^(5/2)/b^3+1/16*a^2*(6*B*b-5*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(D*x^3+C*x^2+B*x+A)/sqrt(b*x^2+a),x,8,-a*(B*b-D*a)*sqrt(b*x^2+a)/b^3+1/8*(4*A*b-3*C*a)*x*sqrt(b*x^2+a)/b^2+1/4*C*x^3*sqrt(b*x^2+a)/b+1/3*(B*b-2*D*a)*(b*x^2+a)^(3/2)/b^3+1/5*D*(b*x^2+a)^(5/2)/b^3-1/8*a*(4*A*b-3*C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(D*x^3+C*x^2+B*x+A)/sqrt(b*x^2+a),x,8,(A*b-C*a)*sqrt(b*x^2+a)/b^2+1/8*(4*B*b-3*D*a)*x*sqrt(b*x^2+a)/b^2+1/4*D*x^3*sqrt(b*x^2+a)/b+1/3*C*(b*x^2+a)^(3/2)/b^2-1/8*a*(4*B*b-3*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/sqrt(b*x^2+a),x,7,(B*b-D*a)*sqrt(b*x^2+a)/b^2+1/2*C*x*sqrt(b*x^2+a)/b+1/3*D*(b*x^2+a)^(3/2)/b^2+1/2*(2*A*b-C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/x/sqrt(b*x^2+a),x,7,C*sqrt(b*x^2+a)/b+1/2*D*x*sqrt(b*x^2+a)/b+1/2*(2*B*b-D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(D*x^3+C*x^2+B*x+A)/x^2/sqrt(b*x^2+a),x,7,D*sqrt(b*x^2+a)/b-A*sqrt(b*x^2+a)/a/x+C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-B*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(D*x^3+C*x^2+B*x+A)/x^3/sqrt(b*x^2+a),x,7,-1/2*A*sqrt(b*x^2+a)/a/x^2-B*sqrt(b*x^2+a)/a/x+D*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)+1/2*(A*b-2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/x^4/sqrt(b*x^2+a),x,5,-1/3*A*sqrt(b*x^2+a)/a/x^3-1/2*B*sqrt(b*x^2+a)/a/x^2+1/3*(2*A*b-3*C*a)*sqrt(b*x^2+a)/a^2/x+1/2*(B*b-2*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/x^5/sqrt(b*x^2+a),x,6,-1/4*A*sqrt(b*x^2+a)/a/x^4-1/3*B*sqrt(b*x^2+a)/a/x^3+1/8*(3*A*b-4*C*a)*sqrt(b*x^2+a)/a^2/x^2+1/3*(2*B*b-3*D*a)*sqrt(b*x^2+a)/a^2/x-1/8*b*(3*A*b-4*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/x^6/sqrt(b*x^2+a),x,7,-1/5*A*sqrt(b*x^2+a)/a/x^5-1/4*B*sqrt(b*x^2+a)/a/x^4+1/15*(4*A*b-5*C*a)*sqrt(b*x^2+a)/a^2/x^3+1/8*(3*B*b-4*D*a)*sqrt(b*x^2+a)/a^2/x^2-2/15*b*(4*A*b-5*C*a)*sqrt(b*x^2+a)/a^3/x-1/8*b*(3*B*b-4*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,9,a*(A*b-a*C+(B*b-D*a)*x)/b^3/sqrt(b*x^2+a)+(A*b-2*C*a)*sqrt(b*x^2+a)/b^3+1/8*(4*B*b-7*D*a)*x*sqrt(b*x^2+a)/b^3+1/4*D*x^3*sqrt(b*x^2+a)/b^2+1/3*C*(b*x^2+a)^(3/2)/b^3-3/8*a*(4*B*b-5*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,8,(a*(B*b-D*a)-b*(A*b-C*a)*x)/b^3/sqrt(b*x^2+a)+(B*b-2*D*a)*sqrt(b*x^2+a)/b^3+1/2*C*x*sqrt(b*x^2+a)/b^2+1/3*D*(b*x^2+a)^(3/2)/b^3+1/2*(2*A*b-3*C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,5,-(A*b-a*C+(B*b-D*a)*x)/b^2/sqrt(b*x^2+a)+C*sqrt(b*x^2+a)/b^2+1/2*D*x*sqrt(b*x^2+a)/b^2+1/2*(2*B*b-3*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,4,-(a*(B*b-D*a)-b*(A*b-C*a)*x)/a/b^2/sqrt(b*x^2+a)+D*sqrt(b*x^2+a)/b^2+C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^(3/2),x,6,(A*b-a*C+(B*b-D*a)*x)/a/b/sqrt(b*x^2+a)+D*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a)^(3/2),x,4,(a*(B*b-D*a)-b*(A*b-C*a)*x)/a^2/b/sqrt(b*x^2+a)-A*sqrt(b*x^2+a)/a^2/x-B*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a)^(3/2),x,5,-(A*b-a*C+(B*b-D*a)*x)/a^2/sqrt(b*x^2+a)-1/2*A*sqrt(b*x^2+a)/a^2/x^2-B*sqrt(b*x^2+a)/a^2/x+1/2*(3*A*b-2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/x^4/(b*x^2+a)^(3/2),x,6,-(a*(B*b-D*a)-b*(A*b-C*a)*x)/a^3/sqrt(b*x^2+a)-1/3*A*sqrt(b*x^2+a)/a^2/x^3-1/2*B*sqrt(b*x^2+a)/a^2/x^2+1/3*(5*A*b-3*C*a)*sqrt(b*x^2+a)/a^3/x+1/2*(3*B*b-2*D*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/x^5/(b*x^2+a)^(3/2),x,7,b*(A*b-a*C+(B*b-D*a)*x)/a^3/sqrt(b*x^2+a)-1/4*A*sqrt(b*x^2+a)/a^2/x^4-1/3*B*sqrt(b*x^2+a)/a^2/x^3+1/8*(7*A*b-4*C*a)*sqrt(b*x^2+a)/a^3/x^2+1/3*(5*B*b-3*D*a)*sqrt(b*x^2+a)/a^3/x-3/8*b*(5*A*b-4*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^4*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(5/2),x,9,-1/3*a*(a*(B*b-D*a)-b*(A*b-C*a)*x)/b^4/(b*x^2+a)^(3/2)+1/3*(3*a*(2*B*b-3*D*a)-b*(4*A*b-7*C*a)*x)/b^4/sqrt(b*x^2+a)+(B*b-3*D*a)*sqrt(b*x^2+a)/b^4+1/2*C*x*sqrt(b*x^2+a)/b^3+1/3*D*(b*x^2+a)^(3/2)/b^4+1/2*(2*A*b-5*C*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(5/2),x,6,1/3*a*(A*b-a*C+(B*b-D*a)*x)/b^3/(b*x^2+a)^(3/2)-1/3*(3*A*b-6*a*C+(4*B*b-7*D*a)*x)/b^3/sqrt(b*x^2+a)+C*sqrt(b*x^2+a)/b^3+1/2*D*x*sqrt(b*x^2+a)/b^3+1/2*(2*B*b-5*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(5/2),x,5,1/3*(a*(B*b-D*a)-b*(A*b-C*a)*x)/b^3/(b*x^2+a)^(3/2)-1/3*(3*a*(B*b-2*D*a)-b*(A*b-4*C*a)*x)/a/b^3/sqrt(b*x^2+a)+D*sqrt(b*x^2+a)/b^3+C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(5/2),x,4,-1/3*(A*b-a*C+(B*b-D*a)*x)/b^2/(b*x^2+a)^(3/2)-1/3*(3*a*C-(B*b-4*D*a)*x)/a/b^2/sqrt(b*x^2+a)+D*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(5/2),x,2,-1/3*(a*(B*b-D*a)-b*(A*b-C*a)*x)/a/b^2/(b*x^2+a)^(3/2)-1/3*(3*a^2*D-b*(2*A*b+C*a)*x)/a^2/b^2/sqrt(b*x^2+a),1],
[(D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^(5/2),x,5,1/3*(A*b-a*C+(B*b-D*a)*x)/a/b/(b*x^2+a)^(3/2)+1/3*(3*A*b+(2*B*b+D*a)*x)/a^2/b/sqrt(b*x^2+a)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a)^(5/2),x,5,1/3*(a*(B*b-D*a)-b*(A*b-C*a)*x)/a^2/b/(b*x^2+a)^(3/2)+1/3*(3*B*b*x+5*A*b-2*C*a)/a^2/b/x/sqrt(b*x^2+a)-2/3*(4*A*b-C*a)*sqrt(b*x^2+a)/a^3/b/x-B*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a)^(5/2),x,6,-1/3*(A*b-a*C+(B*b-D*a)*x)/a^2/(b*x^2+a)^(3/2)-1/3*(6*A*b-3*a*C+(5*B*b-2*D*a)*x)/a^3/sqrt(b*x^2+a)-1/2*A*sqrt(b*x^2+a)/a^3/x^2-B*sqrt(b*x^2+a)/a^3/x+1/2*(5*A*b-2*C*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[(c*x)^(3/2)*(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,3,2/5*a*A*(c*x)^(5/2)/c+2/7*a*B*(c*x)^(7/2)/c^2+2/9*(A*b+C*a)*(c*x)^(9/2)/c^3+2/11*(B*b+D*a)*(c*x)^(11/2)/c^4+2/13*b*C*(c*x)^(13/2)/c^5+2/15*b*D*(c*x)^(15/2)/c^6,1],
[sqrt(c*x)*(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,3,2/3*a*A*(c*x)^(3/2)/c+2/5*a*B*(c*x)^(5/2)/c^2+2/7*(A*b+C*a)*(c*x)^(7/2)/c^3+2/9*(B*b+D*a)*(c*x)^(9/2)/c^4+2/11*b*C*(c*x)^(11/2)/c^5+2/13*b*D*(c*x)^(13/2)/c^6,1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/sqrt(c*x),x,3,2*a*A*sqrt(c*x)/c+2/3*a*B*(c*x)^(3/2)/c^2+2/5*(A*b+C*a)*(c*x)^(5/2)/c^3+2/7*(B*b+D*a)*(c*x)^(7/2)/c^4+2/9*b*C*(c*x)^(9/2)/c^5+2/11*b*D*(c*x)^(11/2)/c^6,1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/(c*x)^(3/2),x,3,-2*a*A/c/sqrt(c*x)+2*a*B*sqrt(c*x)/c^2+2/3*(A*b+C*a)*(c*x)^(3/2)/c^3+2/5*(B*b+D*a)*(c*x)^(5/2)/c^4+2/7*b*C*(c*x)^(7/2)/c^5+2/9*b*D*(c*x)^(9/2)/c^6,1],
[(b*x^2+a)*(D*x^3+C*x^2+B*x+A)/(c*x)^(5/2),x,3,-2/3*a*A/c/(c*x)^(3/2)-2*a*B/c^2/sqrt(c*x)+2*(A*b+C*a)*sqrt(c*x)/c^3+2/3*(B*b+D*a)*(c*x)^(3/2)/c^4+2/5*b*C*(c*x)^(5/2)/c^5+2/7*b*D*(c*x)^(7/2)/c^6,1],
[(c*x)^(5/2)*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,14,-2*a*c^2*(B*b-D*a)*sqrt(c*x)/b^3+2/3*c*(A*b-C*a)*(c*x)^(3/2)/b^2+2/5*(B*b-D*a)*(c*x)^(5/2)/b^2+2/7*C*(c*x)^(7/2)/b/c+2/9*D*(c*x)^(9/2)/b/c^2+a^(3/4)*c^(5/2)*(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/b^(13/4)-a^(3/4)*c^(5/2)*(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/b^(13/4)+a^(3/4)*c^(5/2)*(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(13/4),1],
[(c*x)^(3/2)*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,14,2*c*(A*b-C*a)*sqrt(c*x)/b^2+2/3*(B*b-D*a)*(c*x)^(3/2)/b^2+2/5*C*(c*x)^(5/2)/b/c+2/7*D*(c*x)^(7/2)/b/c^2+a^(1/4)*c^(3/2)*(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/b^(11/4)-a^(1/4)*c^(3/2)*(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/b^(11/4)-a^(1/4)*c^(3/2)*(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/b^(11/4),1],
[sqrt(c*x)*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,14,2*(B*b-D*a)*sqrt(c*x)/b^2+2/3*C*(c*x)^(3/2)/b/c+2/5*D*(c*x)^(5/2)/b/c^2-sqrt(c)*(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(1/4)/b^(9/4)+sqrt(c)*(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(1/4)/b^(9/4)-sqrt(c)*(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(9/4),1],
[(D*x^3+C*x^2+B*x+A)/sqrt(c*x)/(b*x^2+a),x,12,2*C*sqrt(c*x)/b/c+2/3*D*(c*x)^(3/2)/b/c^2-(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(3/4)/b^(7/4)/sqrt(c)+(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(3/4)/b^(7/4)/sqrt(c)+(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(7/4)/sqrt(c),1],
[(D*x^3+C*x^2+B*x+A)/(c*x)^(3/2)/(b*x^2+a),x,13,-2*A/a/c/sqrt(c*x)+2*D*sqrt(c*x)/b/c^2+(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(5/4)/b^(5/4)/c^(3/2)-(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(5/4)/b^(5/4)/c^(3/2)+(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/b^(5/4)/c^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/(c*x)^(5/2)/(b*x^2+a),x,12,-2/3*A/a/c/(c*x)^(3/2)-2*B/a/c^2/sqrt(c*x)+(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(7/4)/b^(3/4)/c^(5/2)-(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(7/4)/b^(3/4)/c^(5/2)-(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/b^(3/4)/c^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/(c*x)^(7/2)/(b*x^2+a),x,13,-2/5*A/a/c/(c*x)^(5/2)-2/3*B/a/c^2/(c*x)^(3/2)+2*(A*b-C*a)/a^2/c^3/sqrt(c*x)-(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(9/4)/b^(1/4)/c^(7/2)+(sqrt(b)*(A*b-C*a)-sqrt(a)*(B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(9/4)/b^(1/4)/c^(7/2)-(sqrt(b)*(A*b-C*a)+sqrt(a)*(B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/b^(1/4)/c^(7/2),1],
[(c*x)^(5/2)*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,14,1/2*c^2*(5*B*b-9*D*a)*sqrt(c*x)/b^3-1/6*c*(3*A*b-7*C*a)*(c*x)^(3/2)/a/b^2+2/5*D*(c*x)^(9/2)/b/c^2/(b*x^2+a)-1/10*(c*x)^(5/2)*(a*(5*B*b-9*D*a)-5*b*(A*b-C*a)*x)/a/b^2/(b*x^2+a)-1/4*c^(5/2)*(sqrt(b)*(3*A*b-7*C*a)-sqrt(a)*(5*B*b-9*D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(1/4)/b^(13/4)+1/4*c^(5/2)*(sqrt(b)*(3*A*b-7*C*a)-sqrt(a)*(5*B*b-9*D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(1/4)/b^(13/4)-1/4*c^(5/2)*(sqrt(b)*(3*A*b-7*C*a)+sqrt(a)*(5*B*b-9*D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(1/4)/b^(13/4),1],
[(c*x)^(3/2)*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,14,-1/2*c*(A*b-5*C*a)*sqrt(c*x)/a/b^2+2/3*D*(c*x)^(7/2)/b/c^2/(b*x^2+a)-1/6*(c*x)^(3/2)*(a*(3*B*b-7*D*a)-3*b*(A*b-C*a)*x)/a/b^2/(b*x^2+a)-1/4*c^(3/2)*(sqrt(b)*(A*b-5*C*a)+sqrt(a)*(3*B*b-7*D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(3/4)/b^(11/4)+1/4*c^(3/2)*(sqrt(b)*(A*b-5*C*a)+sqrt(a)*(3*B*b-7*D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(3/4)/b^(11/4)+1/4*c^(3/2)*(sqrt(b)*(A*b-5*C*a)-sqrt(a)*(3*B*b-7*D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(3/4)/b^(11/4),1],
[sqrt(c*x)*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,12,2*D*(c*x)^(5/2)/b/c^2/(b*x^2+a)-1/2*sqrt(c*x)*(a*(B*b-5*D*a)-b*(A*b-C*a)*x)/a/b^2/(b*x^2+a)-1/4*sqrt(c)*(sqrt(b)*(A*b+3*C*a)+sqrt(a)*(B*b-5*D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(5/4)/b^(9/4)+1/4*sqrt(c)*(sqrt(b)*(A*b+3*C*a)+sqrt(a)*(B*b-5*D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(5/4)/b^(9/4)-1/4*sqrt(c)*(sqrt(b)*(A*b+3*C*a)-sqrt(a)*(B*b-5*D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(5/4)/b^(9/4),1],
[(D*x^3+C*x^2+B*x+A)/sqrt(c*x)/(b*x^2+a)^2,x,12,-2*D*(c*x)^(3/2)/b/c^2/(b*x^2+a)+1/2*sqrt(c*x)*(A*b-a*C+(B*b+3*D*a)*x)/a/b/c/(b*x^2+a)-1/4*(sqrt(b)*(3*A*b+C*a)+sqrt(a)*(B*b+3*D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(7/4)/b^(7/4)/sqrt(c)+1/4*(sqrt(b)*(3*A*b+C*a)+sqrt(a)*(B*b+3*D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(7/4)/b^(7/4)/sqrt(c)+1/4*(sqrt(b)*(3*A*b+C*a)-sqrt(a)*(B*b+3*D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(7/4)/b^(7/4)/sqrt(c),1],
[(D*x^3+C*x^2+B*x+A)/(c*x)^(3/2)/(b*x^2+a)^2,x,12,-2*A/a/c/sqrt(c*x)/(b*x^2+a)+1/2*sqrt(c*x)*(a*(B*b-D*a)-b*(5*A*b-C*a)*x)/a^2/b/c^2/(b*x^2+a)+1/4*(sqrt(b)*(5*A*b-C*a)-sqrt(a)*(3*B*b+D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(9/4)/b^(5/4)/c^(3/2)-1/4*(sqrt(b)*(5*A*b-C*a)-sqrt(a)*(3*B*b+D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(9/4)/b^(5/4)/c^(3/2)+1/4*(sqrt(b)*(5*A*b-C*a)+sqrt(a)*(3*B*b+D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(9/4)/b^(5/4)/c^(3/2),1],
[(D*x^3+C*x^2+B*x+A)/(c*x)^(5/2)/(b*x^2+a)^2,x,13,-1/2*(5*B*b-D*a)/a^2/b/c^2/sqrt(c*x)-2/3*A/a/c/(c*x)^(3/2)/(b*x^2+a)+1/6*(3*a*(B*b-D*a)-b*(7*A*b-3*C*a)*x)/a^2/b/c^2/sqrt(c*x)/(b*x^2+a)+1/4*(sqrt(b)*(7*A*b-3*C*a)+sqrt(a)*(5*B*b-D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(11/4)/b^(3/4)/c^(5/2)-1/4*(sqrt(b)*(7*A*b-3*C*a)+sqrt(a)*(5*B*b-D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(11/4)/b^(3/4)/c^(5/2)-1/4*(sqrt(b)*(7*A*b-3*C*a)-sqrt(a)*(5*B*b-D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(11/4)/b^(3/4)/c^(5/2),1],
[(D*x^3+C*x^2+B*x+A)/(c*x)^(7/2)/(b*x^2+a)^2,x,14,-1/6*(7*B*b-3*D*a)/a^2/b/c^2/(c*x)^(3/2)+1/2*(9*A*b-5*C*a)/a^3/c^3/sqrt(c*x)-2/5*A/a/c/(c*x)^(5/2)/(b*x^2+a)+1/10*(5*a*(B*b-D*a)-b*(9*A*b-5*C*a)*x)/a^2/b/c^2/(c*x)^(3/2)/(b*x^2+a)-1/4*(sqrt(b)*(9*A*b-5*C*a)-sqrt(a)*(7*B*b-3*D*a))*arctan(1-sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(13/4)/b^(1/4)/c^(7/2)+1/4*(sqrt(b)*(9*A*b-5*C*a)-sqrt(a)*(7*B*b-3*D*a))*arctan(1+sqrt(2)*b^(1/4)*sqrt(c*x)/a^(1/4)/sqrt(c))/sqrt(2)/a^(13/4)/b^(1/4)/c^(7/2)-1/4*(sqrt(b)*(9*A*b-5*C*a)+sqrt(a)*(7*B*b-3*D*a))*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(c*x)/sqrt(c)/(sqrt(a)+sqrt(b)*x))/sqrt(2)/a^(13/4)/b^(1/4)/c^(7/2),1],
[(c*x)^m*(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x,3,a^2*A*(c*x)^(1+m)/c/(1+m)+a^2*B*(c*x)^(2+m)/c^2/(2+m)+a*(2*A*b+C*a)*(c*x)^(3+m)/c^3/(3+m)+a*(2*B*b+D*a)*(c*x)^(4+m)/c^4/(4+m)+b*(A*b+2*C*a)*(c*x)^(5+m)/c^5/(5+m)+b*(B*b+2*D*a)*(c*x)^(6+m)/c^6/(6+m)+b^2*C*(c*x)^(7+m)/c^7/(7+m)+b^2*D*(c*x)^(8+m)/c^8/(8+m),1],
[(c*x)^m*(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,3,a*A*(c*x)^(1+m)/c/(1+m)+a*B*(c*x)^(2+m)/c^2/(2+m)+(A*b+C*a)*(c*x)^(3+m)/c^3/(3+m)+(B*b+D*a)*(c*x)^(4+m)/c^4/(4+m)+b*C*(c*x)^(5+m)/c^5/(5+m)+b*D*(c*x)^(6+m)/c^6/(6+m),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A),x,2,A*(c*x)^(1+m)/c/(1+m)+B*(c*x)^(2+m)/c^2/(2+m)+C*(c*x)^(3+m)/c^3/(3+m)+D*(c*x)^(4+m)/c^4/(4+m),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x,6,C*(c*x)^(1+m)/b/c/(1+m)+D*(c*x)^(2+m)/b/c^2/(2+m)+(A*b-C*a)*(c*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a/b/c/(1+m)+(B*b-D*a)*(c*x)^(2+m)*hypergeom([1, 1+1/2*m],[2+1/2*m],-b*x^2/a)/a/b/c^2/(2+m),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x,6,-C*(c*x)^(1+m)/b/c/(1-m)/(b*x^2+a)+D*(c*x)^(2+m)/b/c^2/m/(b*x^2+a)+(a*C*(1+m)+A*(-b*m+b))*(c*x)^(1+m)*hypergeom([2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^2/b/c/(-m^2+1)+(b*B*m-a*D*(2+m))*(c*x)^(2+m)*hypergeom([2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/a^2/b/c^2/m/(2+m),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x,6,-C*(c*x)^(1+m)/b/c/(3-m)/(b*x^2+a)^2-D*(c*x)^(2+m)/b/c^2/(2-m)/(b*x^2+a)^2+(A/(1+m)+a*C/(-b*m+3*b))*(c*x)^(1+m)*hypergeom([3, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^3/c+(b*B*(2-m)+a*D*(2+m))*(c*x)^(2+m)*hypergeom([3, 1+1/2*m],[2+1/2*m],-b*x^2/a)/a^3/b/c^2/(2-m)/(2+m),1],
[(c*x)^m*(b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A),x,8,C*(c*x)^(1+m)*(b*x^2+a)^(5/2)/b/c/(6+m)+D*(c*x)^(2+m)*(b*x^2+a)^(5/2)/b/c^2/(7+m)+a*(A/(1+m)-a*C/b/(6+m))*(c*x)^(1+m)*sqrt(b*x^2+a)*hypergeom([-3/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/c/sqrt(1+b*x^2/a)-a*(a*D*(2+m)-b*B*(7+m))*(c*x)^(2+m)*sqrt(b*x^2+a)*hypergeom([-3/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/b/c^2/(2+m)/(7+m)/sqrt(1+b*x^2/a),1],
[(c*x)^m*sqrt(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x,8,C*(c*x)^(1+m)*(b*x^2+a)^(3/2)/b/c/(4+m)+D*(c*x)^(2+m)*(b*x^2+a)^(3/2)/b/c^2/(5+m)+(A/(1+m)-a*C/b/(4+m))*(c*x)^(1+m)*sqrt(b*x^2+a)*hypergeom([-1/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/c/sqrt(1+b*x^2/a)+(B/(2+m)-a*D/b/(5+m))*(c*x)^(2+m)*sqrt(b*x^2+a)*hypergeom([-1/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/c^2/sqrt(1+b*x^2/a),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A)/sqrt(b*x^2+a),x,8,C*(c*x)^(1+m)*sqrt(b*x^2+a)/b/c/(2+m)+D*(c*x)^(2+m)*sqrt(b*x^2+a)/b/c^2/(3+m)+(A/(1+m)-a*C/b/(2+m))*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/c/sqrt(b*x^2+a)+(B/(2+m)-a*D/b/(3+m))*(c*x)^(2+m)*sqrt(1+b*x^2/a)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/c^2/sqrt(b*x^2+a),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,8,C*(c*x)^(1+m)/b/c/m/sqrt(b*x^2+a)+D*(c*x)^(2+m)/b/c^2/(1+m)/sqrt(b*x^2+a)-(C/b/m-A/(a*m+a))*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/c/sqrt(b*x^2+a)+(B/a/(2+m)-D/(b*m+b))*(c*x)^(2+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/c^2/sqrt(b*x^2+a),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(5/2),x,8,-C*(c*x)^(1+m)/b/c/(2-m)/(b*x^2+a)^(3/2)-D*(c*x)^(2+m)/b/c^2/(1-m)/(b*x^2+a)^(3/2)+(A/(1+m)+a*C/(-b*m+2*b))*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([5/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^2/c/sqrt(b*x^2+a)+(a*D*(2+m)+b*(-B*m+B))*(c*x)^(2+m)*sqrt(1+b*x^2/a)*hypergeom([5/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/a^2/b/c^2/(1-m)/(2+m)/sqrt(b*x^2+a),1],
[(c*x)^m*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^(7/2),x,8,-C*(c*x)^(1+m)/b/c/(4-m)/(b*x^2+a)^(5/2)-D*(c*x)^(2+m)/b/c^2/(3-m)/(b*x^2+a)^(5/2)+(A/(1+m)+a*C/(-b*m+4*b))*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([7/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^3/c/sqrt(b*x^2+a)+(b*B*(3-m)+a*D*(2+m))*(c*x)^(2+m)*sqrt(1+b*x^2/a)*hypergeom([7/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/a^3/b/c^2/(3-m)/(2+m)/sqrt(b*x^2+a),1],
[x^4*(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A),x,2,1/5*a*A*x^5+1/7*(A*b+B*a)*x^7+1/9*(B*b+C*a)*x^9+1/11*(C*b+D*a)*x^11+1/13*b*D*x^13,1],
[x^2*(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A),x,2,1/3*a*A*x^3+1/5*(A*b+B*a)*x^5+1/7*(B*b+C*a)*x^7+1/9*(C*b+D*a)*x^9+1/11*b*D*x^11,1],
[(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A),x,2,a*A*x+1/3*(A*b+B*a)*x^3+1/5*(B*b+C*a)*x^5+1/7*(C*b+D*a)*x^7+1/9*b*D*x^9,1],
[(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^2,x,2,-a*A/x+(A*b+B*a)*x+1/3*(B*b+C*a)*x^3+1/5*(C*b+D*a)*x^5+1/7*b*D*x^7,1],
[(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^4,x,2,-1/3*a*A/x^3-(A*b+B*a)/x+(B*b+C*a)*x+1/3*(C*b+D*a)*x^3+1/5*b*D*x^5,1],
[(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^6,x,2,-1/5*a*A/x^5-1/3*(A*b+B*a)/x^3-(B*b+C*a)/x+(C*b+D*a)*x+1/3*b*D*x^3,1],
[x^4*(b*x^2+a)^2*(D*x^6+C*x^4+B*x^2+A),x,2,1/5*a^2*A*x^5+1/7*a*(2*A*b+B*a)*x^7+1/9*(A*b^2+a*(2*B*b+C*a))*x^9+1/11*(B*b^2+2*C*a*b+D*a^2)*x^11+1/13*b*(C*b+2*D*a)*x^13+1/15*b^2*D*x^15,1],
[x^2*(b*x^2+a)^2*(D*x^6+C*x^4+B*x^2+A),x,2,1/3*a^2*A*x^3+1/5*a*(2*A*b+B*a)*x^5+1/7*(A*b^2+a*(2*B*b+C*a))*x^7+1/9*(B*b^2+2*C*a*b+D*a^2)*x^9+1/11*b*(C*b+2*D*a)*x^11+1/13*b^2*D*x^13,1],
[(b*x^2+a)^2*(D*x^6+C*x^4+B*x^2+A),x,2,a^2*A*x+1/3*a*(2*A*b+B*a)*x^3+1/5*(A*b^2+a*(2*B*b+C*a))*x^5+1/7*(B*b^2+2*C*a*b+D*a^2)*x^7+1/9*b*(C*b+2*D*a)*x^9+1/11*b^2*D*x^11,1],
[(b*x^2+a)^2*(D*x^6+C*x^4+B*x^2+A)/x^2,x,2,-a^2*A/x+a*(2*A*b+B*a)*x+1/3*(A*b^2+a*(2*B*b+C*a))*x^3+1/5*(B*b^2+2*C*a*b+D*a^2)*x^5+1/7*b*(C*b+2*D*a)*x^7+1/9*b^2*D*x^9,1],
[(b*x^2+a)^2*(D*x^6+C*x^4+B*x^2+A)/x^4,x,2,-1/3*a^2*A/x^3-a*(2*A*b+B*a)/x+(A*b^2+a*(2*B*b+C*a))*x+1/3*(B*b^2+2*C*a*b+D*a^2)*x^3+1/5*b*(C*b+2*D*a)*x^5+1/7*b^2*D*x^7,1],
[(b*x^2+a)^2*(D*x^6+C*x^4+B*x^2+A)/x^6,x,2,-1/5*a^2*A/x^5-1/3*a*(2*A*b+B*a)/x^3-(A*b^2+a*(2*B*b+C*a))/x+(B*b^2+2*C*a*b+D*a^2)*x+1/3*b*(C*b+2*D*a)*x^3+1/5*b^2*D*x^5,1],
[x^6*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a),x,3,a^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^6-1/3*a*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x^3/b^5+1/5*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x^5/b^4+1/7*(B*b^2-C*a*b+D*a^2)*x^7/b^3+1/9*(C*b-D*a)*x^9/b^2+1/11*D*x^11/b-a^(5/2)*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/b^(13/2),1],
[x^4*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a),x,3,-a*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^5+1/3*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x^3/b^4+1/5*(B*b^2-C*a*b+D*a^2)*x^5/b^3+1/7*(C*b-D*a)*x^7/b^2+1/9*D*x^9/b+a^(3/2)*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/b^(11/2),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a),x,3,(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^4+1/3*(B*b^2-C*a*b+D*a^2)*x^3/b^3+1/5*(C*b-D*a)*x^5/b^2+1/7*D*x^7/b-sqrt(a)*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/b^(9/2),1],
[(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a),x,3,(B*b^2-C*a*b+D*a^2)*x/b^3+1/3*(C*b-D*a)*x^3/b^2+1/5*D*x^5/b+(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(7/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/(b*x^2+a),x,3,-A/a/x+(C*b-D*a)*x/b^2+1/3*D*x^3/b-(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(5/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/(b*x^2+a),x,3,-1/3*A/a/x^3+(A*b-B*a)/a^2/x+D*x/b+(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/b^(3/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/(b*x^2+a),x,3,-1/5*A/a/x^5+1/3*(A*b-B*a)/a^2/x^3-(A*b^2-a*(B*b-C*a))/a^3/x-(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/sqrt(b),1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/(b*x^2+a),x,3,-1/7*A/a/x^7+1/5*(A*b-B*a)/a^2/x^5-1/3*(A*b^2-a*(B*b-C*a))/a^3/x^3+(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^4/x+sqrt(b)*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(9/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^10/(b*x^2+a),x,3,-1/9*A/a/x^9+1/7*(A*b-B*a)/a^2/x^7-1/5*(A*b^2-a*(B*b-C*a))/a^3/x^5+1/3*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^4/x^3-b*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^5/x-b^(3/2)*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(11/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^12/(b*x^2+a),x,3,-1/11*A/a/x^11+1/9*(A*b-B*a)/a^2/x^9-1/7*(A*b^2-a*(B*b-C*a))/a^3/x^7+1/5*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^4/x^5-1/3*b*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^5/x^3+b^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^6/x+b^(5/2)*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(13/2),1],
[x^6*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^2,x,4,-a*(2*A*b^3-a*(3*B*b^2-4*C*a*b+5*D*a^2))*x/b^6+1/3*(A*b^3-a*(2*B*b^2-3*C*a*b+4*D*a^2))*x^3/b^5+1/5*(B*b^2-2*C*a*b+3*D*a^2)*x^5/b^4+1/7*(C*b-2*D*a)*x^7/b^3+1/9*D*x^9/b^2-1/2*a^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^6/(b*x^2+a)+1/2*a^(3/2)*(5*A*b^3-a*(7*B*b^2-9*C*a*b+11*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/b^(13/2),1],
[x^4*(D*x^6+C*x^4+B*x^2+A)/(e*x^2+d)^2,x,4,-(-A*e^3+2*B*d*e^2-3*C*d^2*e+4*D*d^3)*x/e^5+1/3*(B*e^2-2*C*d*e+3*D*d^2)*x^3/e^4-1/5*(-C*e+2*D*d)*x^5/e^3+1/7*D*x^7/e^2-1/2*d*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x/e^5/(e*x^2+d)+1/2*sqrt(d)*(-3*A*e^3+5*B*d*e^2-7*C*d^2*e+9*D*d^3)*arctan(sqrt(e)*x/sqrt(d))/e^(11/2),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/(e*x^2+d)^2,x,4,(B*e^2-2*C*d*e+3*D*d^2)*x/e^4-1/3*(-C*e+2*D*d)*x^3/e^3+1/5*D*x^5/e^2+1/2*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x/e^4/(e*x^2+d)-1/2*(-A*e^3+3*B*d*e^2-5*C*d^2*e+7*D*d^3)*arctan(sqrt(e)*x/sqrt(d))/sqrt(d)/e^(9/2),1],
[(D*x^6+C*x^4+B*x^2+A)/(e*x^2+d)^2,x,4,-(-C*e+2*D*d)*x/e^3+1/3*D*x^3/e^2-1/2*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x/d/e^3/(e*x^2+d)+1/2*(A*e^3+B*d*e^2-3*C*d^2*e+5*D*d^3)*arctan(sqrt(e)*x/sqrt(d))/d^(3/2)/e^(7/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/(e*x^2+d)^2,x,4,-A/d^2/x+D*x/e^2+1/2*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x/d^2/e^2/(e*x^2+d)-1/2*(3*A*e^3-B*d*e^2-C*d^2*e+3*D*d^3)*arctan(sqrt(e)*x/sqrt(d))/d^(5/2)/e^(5/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/(e*x^2+d)^2,x,4,-1/3*A/d^2/x^3-(-2*A*e+B*d)/d^3/x-1/2*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x/d^3/e/(e*x^2+d)+1/2*(5*A*e^3-3*B*d*e^2+C*d^2*e+D*d^3)*arctan(sqrt(e)*x/sqrt(d))/d^(7/2)/e^(3/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/(e*x^2+d)^2,x,4,-1/5*A/d^2/x^5-1/3*(-2*A*e+B*d)/d^3/x^3-(C*d^2-e*(-3*A*e+2*B*d))/d^4/x+1/2*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x/d^4/(e*x^2+d)+1/2*(-7*A*e^3+5*B*d*e^2-3*C*d^2*e+D*d^3)*arctan(sqrt(e)*x/sqrt(d))/d^(9/2)/sqrt(e),1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/(e*x^2+d)^2,x,4,-1/7*A/d^2/x^7-1/5*(-2*A*e+B*d)/d^3/x^5-1/3*(C*d^2-e*(-3*A*e+2*B*d))/d^4/x^3-(-4*A*e^3+3*B*d*e^2-2*C*d^2*e+D*d^3)/d^5/x-1/2*e*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x/d^5/(e*x^2+d)-1/2*sqrt(e)*(-9*A*e^3+7*B*d*e^2-5*C*d^2*e+3*D*d^3)*arctan(sqrt(e)*x/sqrt(d))/d^(11/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^10/(b*x^2+a)^2,x,4,-1/9*A/a^2/x^9+1/7*(2*A*b-B*a)/a^3/x^7-1/5*(3*A*b^2-a*(2*B*b-C*a))/a^4/x^5+1/3*(4*A*b^3-a*(3*B*b^2-2*C*a*b+D*a^2))/a^5/x^3-b*(5*A*b^3-a*(4*B*b^2-3*C*a*b+2*D*a^2))/a^6/x-1/2*b^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^6/(b*x^2+a)-1/2*b^(3/2)*(11*A*b^3-a*(9*B*b^2-7*C*a*b+5*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(13/2),1],
[x^8*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^3,x,5,-a*(3*A*b^3-a*(6*B*b^2-10*C*a*b+15*D*a^2))*x/b^7+1/3*(A*b^3-a*(3*B*b^2-6*C*a*b+10*D*a^2))*x^3/b^6+1/5*(B*b^2-3*C*a*b+6*D*a^2)*x^5/b^5+1/7*(C*b-3*D*a)*x^7/b^4+1/9*D*x^9/b^3+1/4*a^3*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^7/(b*x^2+a)^2-1/8*a^2*(13*A*b^3-a*(17*B*b^2-21*C*a*b+25*D*a^2))*x/b^7/(b*x^2+a)+1/8*a^(3/2)*(35*A*b^3-a*(63*B*b^2-99*C*a*b+143*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/b^(15/2),1],
[x^6*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^3,x,5,(A*b^3-a*(3*B*b^2-6*C*a*b+10*D*a^2))*x/b^6+1/3*(B*b^2-3*C*a*b+6*D*a^2)*x^3/b^5+1/5*(C*b-3*D*a)*x^5/b^4+1/7*D*x^7/b^3-1/4*a^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^6/(b*x^2+a)^2+1/8*a*(9*A*b^3-a*(13*B*b^2-17*C*a*b+21*D*a^2))*x/b^6/(b*x^2+a)-1/8*sqrt(a)*(15*A*b^3-a*(35*B*b^2-63*C*a*b+99*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/b^(13/2),1],
[x^4*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^3,x,5,(B*b^2-3*C*a*b+6*D*a^2)*x/b^5+1/3*(C*b-3*D*a)*x^3/b^4+1/5*D*x^5/b^3+1/4*a*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^5/(b*x^2+a)^2-1/8*(5*A*b^3-a*(9*B*b^2-13*C*a*b+17*D*a^2))*x/b^5/(b*x^2+a)+1/8*(3*A*b^3-a*(15*B*b^2-35*C*a*b+63*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/b^(11/2),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^3,x,5,(C*b-3*D*a)*x/b^4+1/3*D*x^3/b^3-1/4*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^4/(b*x^2+a)^2+1/8*(A*b^3-a*(5*B*b^2-9*C*a*b+13*D*a^2))*x/a/b^4/(b*x^2+a)+1/8*(A*b^3+a*(3*B*b^2-15*C*a*b+35*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(9/2),1],
[(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^3,x,5,D*x/b^3+1/4*(A/a-(B*b^2-C*a*b+D*a^2)/b^3)*x/(b*x^2+a)^2+1/8*(3*A*b^3+a*(B*b^2-5*C*a*b+9*D*a^2))*x/a^2/b^3/(b*x^2+a)+1/8*(3*A*b^3+a*(B*b^2+3*C*a*b-15*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(5/2)/b^(7/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/(b*x^2+a)^3,x,5,-A/a^3/x-1/4*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^2/b^2/(b*x^2+a)^2-1/8*(7*A*b^3-a*(3*B*b^2+C*a*b-5*D*a^2))*x/a^3/b^2/(b*x^2+a)-1/8*(15*A*b^3-a*(3*B*b^2+C*a*b+3*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(7/2)/b^(5/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/(b*x^2+a)^3,x,5,-1/3*A/a^3/x^3+(3*A*b-B*a)/a^4/x+1/4*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^3/b/(b*x^2+a)^2+1/8*(11*A*b^3-a*(7*B*b^2-3*C*a*b-D*a^2))*x/a^4/b/(b*x^2+a)+1/8*(35*A*b^3-a*(15*B*b^2-3*C*a*b-D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(9/2)/b^(3/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/(b*x^2+a)^3,x,5,-1/5*A/a^3/x^5+1/3*(3*A*b-B*a)/a^4/x^3-(6*A*b^2-a*(3*B*b-C*a))/a^5/x-1/4*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^4/(b*x^2+a)^2-1/8*(15*A*b^3-a*(11*B*b^2-7*C*a*b+3*D*a^2))*x/a^5/(b*x^2+a)-1/8*(63*A*b^3-a*(35*B*b^2-15*C*a*b+3*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(11/2)/sqrt(b),1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/(b*x^2+a)^3,x,5,-1/7*A/a^3/x^7+1/5*(3*A*b-B*a)/a^4/x^5-1/3*(6*A*b^2-a*(3*B*b-C*a))/a^5/x^3+(10*A*b^3-a*(6*B*b^2-3*C*a*b+D*a^2))/a^6/x+1/4*b*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^5/(b*x^2+a)^2+1/8*b*(19*A*b^3-a*(15*B*b^2-11*C*a*b+7*D*a^2))*x/a^6/(b*x^2+a)+1/8*sqrt(b)*(99*A*b^3-a*(63*B*b^2-35*C*a*b+15*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(13/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^10/(b*x^2+a)^3,x,5,-1/9*A/a^3/x^9+1/7*(3*A*b-B*a)/a^4/x^7-1/5*(6*A*b^2-a*(3*B*b-C*a))/a^5/x^5+1/3*(10*A*b^3-a*(6*B*b^2-3*C*a*b+D*a^2))/a^6/x^3-b*(15*A*b^3-a*(10*B*b^2-6*C*a*b+3*D*a^2))/a^7/x-1/4*b^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^6/(b*x^2+a)^2-1/8*b^2*(23*A*b^3-a*(19*B*b^2-15*C*a*b+11*D*a^2))*x/a^7/(b*x^2+a)-1/8*b^(3/2)*(143*A*b^3-a*(99*B*b^2-63*C*a*b+35*D*a^2))*arctan(sqrt(b)*x/sqrt(a))/a^(15/2),1],
[x^2*sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A),x,7,1/256*a*(32*A*b^3-a*(16*B*b^2-10*C*a*b+7*D*a^2))*x*sqrt(b*x^2+a)/b^4+1/128*(32*A-a*(16*B*b^2-10*C*a*b+7*D*a^2)/b^3)*x^3*sqrt(b*x^2+a)+1/96*(16*B*b^2-10*C*a*b+7*D*a^2)*x^3*(b*x^2+a)^(3/2)/b^3+1/80*(10*C*b-7*D*a)*x^5*(b*x^2+a)^(3/2)/b^2+1/10*D*x^7*(b*x^2+a)^(3/2)/b-1/256*a^2*(32*A*b^3-a*(16*B*b^2-10*C*a*b+7*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A),x,6,1/128*(64*A-a*(16*B*b^2-8*C*a*b+5*D*a^2)/b^3)*x*sqrt(b*x^2+a)+1/64*(16*B*b^2-8*C*a*b+5*D*a^2)*x*(b*x^2+a)^(3/2)/b^3+1/48*(8*C*b-5*D*a)*x^3*(b*x^2+a)^(3/2)/b^2+1/8*D*x^5*(b*x^2+a)^(3/2)/b+1/128*a*(64*A*b^3-a*(16*B*b^2-8*C*a*b+5*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^2,x,6,1/16*(16*A*b^3/a+8*b^2*B-2*a*b*C+a^2*D)*x*sqrt(b*x^2+a)/b^2-A*(b*x^2+a)^(3/2)/a/x+1/8*(2*C*b-D*a)*x*(b*x^2+a)^(3/2)/b^2+1/6*D*x^3*(b*x^2+a)^(3/2)/b+1/16*(16*A*b^3+a*(8*B*b^2-2*C*a*b+D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^4,x,6,1/8*(8*b*B/a+4*C-a*D/b)*x*sqrt(b*x^2+a)-1/3*A*(b*x^2+a)^(3/2)/a/x^3-B*(b*x^2+a)^(3/2)/a/x+1/4*D*x*(b*x^2+a)^(3/2)/b+1/8*(8*B*b^2+4*C*a*b-D*a^2)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^6,x,6,1/2*(2*C*b+D*a)*x*sqrt(b*x^2+a)/a-1/5*A*(b*x^2+a)^(3/2)/a/x^5+1/15*(2*A*b-5*B*a)*(b*x^2+a)^(3/2)/a^2/x^3-C*(b*x^2+a)^(3/2)/a/x+1/2*(2*C*b+D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b),1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^8,x,6,-D*sqrt(b*x^2+a)/x-1/7*A*(b*x^2+a)^(3/2)/a/x^7+1/35*(4*A*b-7*B*a)*(b*x^2+a)^(3/2)/a^2/x^5-1/105*(8*A*b^2-14*B*a*b+35*C*a^2)*(b*x^2+a)^(3/2)/a^3/x^3+sqrt(b)*D*arctanh(sqrt(b)*x/sqrt(b*x^2+a)),1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^10,x,4,-1/9*A*(b*x^2+a)^(3/2)/a/x^9+1/21*(2*A*b-3*B*a)*(b*x^2+a)^(3/2)/a^2/x^7-1/105*(8*A*b^2-12*B*a*b+21*C*a^2)*(b*x^2+a)^(3/2)/a^3/x^5+1/315*(16*A*b^3-3*a*(8*B*b^2-14*C*a*b+35*D*a^2))*(b*x^2+a)^(3/2)/a^4/x^3,1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^12,x,5,-1/11*A*(b*x^2+a)^(3/2)/a/x^11+1/99*(8*A*b-11*B*a)*(b*x^2+a)^(3/2)/a^2/x^9-1/231*(16*A*b^2-22*B*a*b+33*C*a^2)*(b*x^2+a)^(3/2)/a^3/x^7+1/1155*(64*A*b^3-11*a*(8*B*b^2-12*C*a*b+21*D*a^2))*(b*x^2+a)^(3/2)/a^4/x^5-2/3465*b*(64*A*b^3-11*a*(8*B*b^2-12*C*a*b+21*D*a^2))*(b*x^2+a)^(3/2)/a^5/x^3,1],
[sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A)/x^14,x,6,-1/13*A*(b*x^2+a)^(3/2)/a/x^13+1/143*(10*A*b-13*B*a)*(b*x^2+a)^(3/2)/a^2/x^11-1/1287*(80*A*b^2-104*B*a*b+143*C*a^2)*(b*x^2+a)^(3/2)/a^3/x^9+1/3003*(160*A*b^3-13*a*(16*B*b^2-22*C*a*b+33*D*a^2))*(b*x^2+a)^(3/2)/a^4/x^7-4/15015*b*(160*A*b^3-13*a*(16*B*b^2-22*C*a*b+33*D*a^2))*(b*x^2+a)^(3/2)/a^5/x^5+8/45045*b^2*(160*A*b^3-13*a*(16*B*b^2-22*C*a*b+33*D*a^2))*(b*x^2+a)^(3/2)/a^6/x^3,1],
[x^2*(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A),x,8,1/1024*a^2*(64*A*b^3-a*(24*B*b^2-12*C*a*b+7*D*a^2))*x*sqrt(b*x^2+a)/b^4+1/512*a*(64*A*b^3-a*(24*B*b^2-12*C*a*b+7*D*a^2))*x^3*sqrt(b*x^2+a)/b^3+1/384*(64*A-a*(24*B*b^2-12*C*a*b+7*D*a^2)/b^3)*x^3*(b*x^2+a)^(3/2)+1/192*(24*B*b^2-12*C*a*b+7*D*a^2)*x^3*(b*x^2+a)^(5/2)/b^3+1/120*(12*C*b-7*D*a)*x^5*(b*x^2+a)^(5/2)/b^2+1/12*D*x^7*(b*x^2+a)^(5/2)/b-1/1024*a^3*(64*A*b^3-a*(24*B*b^2-12*C*a*b+7*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A),x,7,1/256*a*(96*A*b^3-a*(16*B*b^2-6*C*a*b+3*D*a^2))*x*sqrt(b*x^2+a)/b^3+1/384*(96*A-a*(16*B*b^2-6*C*a*b+3*D*a^2)/b^3)*x*(b*x^2+a)^(3/2)+1/96*(16*B*b^2-6*C*a*b+3*D*a^2)*x*(b*x^2+a)^(5/2)/b^3+1/16*(2*C*b-D*a)*x^3*(b*x^2+a)^(5/2)/b^2+1/10*D*x^5*(b*x^2+a)^(5/2)/b+1/256*a^2*(96*A*b^3-a*(16*B*b^2-6*C*a*b+3*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^2,x,7,1/128*(192*A*b^3+a*(48*B*b^2-8*C*a*b+3*D*a^2))*x*sqrt(b*x^2+a)/b^2+1/192*(192*A*b^3/a+48*b^2*B-8*a*b*C+3*a^2*D)*x*(b*x^2+a)^(3/2)/b^2-A*(b*x^2+a)^(5/2)/a/x+1/48*(8*C*b-3*D*a)*x*(b*x^2+a)^(5/2)/b^2+1/8*D*x^3*(b*x^2+a)^(5/2)/b+1/128*a*(192*A*b^3+a*(48*B*b^2-8*C*a*b+3*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^4,x,7,1/16*(16*A*b^3+6*a*b*(4*B*b+C*a)-a^3*D)*x*sqrt(b*x^2+a)/a/b+1/24*(16*A*b^3+6*a*b*(4*B*b+C*a)-a^3*D)*x*(b*x^2+a)^(3/2)/a^2/b-1/3*A*(b*x^2+a)^(5/2)/a/x^3-1/3*(2*A*b+3*B*a)*(b*x^2+a)^(5/2)/a^2/x+1/6*D*x*(b*x^2+a)^(5/2)/b+1/16*(16*A*b^3+6*a*b*(4*B*b+C*a)-a^3*D)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^6,x,7,1/8*(8*B*b^2+12*C*a*b+3*D*a^2)*x*sqrt(b*x^2+a)/a+1/12*(8*B*b^2+12*C*a*b+3*D*a^2)*x*(b*x^2+a)^(3/2)/a^2-1/5*A*(b*x^2+a)^(5/2)/a/x^5-1/3*B*(b*x^2+a)^(5/2)/a/x^3-1/3*(2*B*b+3*C*a)*(b*x^2+a)^(5/2)/a^2/x+1/8*(8*B*b^2+12*C*a*b+3*D*a^2)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b),1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^8,x,7,-1/3*(2*C*b+3*D*a)*sqrt(b*x^2+a)/x+1/6*b*(2*C*b+3*D*a)*x*sqrt(b*x^2+a)/a-1/7*A*(b*x^2+a)^(5/2)/a/x^7+1/35*(2*A*b-7*B*a)*(b*x^2+a)^(5/2)/a^2/x^5-1/3*C*(b*x^2+a)^(5/2)/a/x^3+1/2*sqrt(b)*(2*C*b+3*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a)),1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^10,x,7,-1/3*a*D*sqrt(b*x^2+a)/x^3-4/3*b*D*sqrt(b*x^2+a)/x-1/9*A*(b*x^2+a)^(5/2)/a/x^9+1/63*(4*A*b-9*B*a)*(b*x^2+a)^(5/2)/a^2/x^7-1/315*(8*A*b^2-18*B*a*b+63*C*a^2)*(b*x^2+a)^(5/2)/a^3/x^5+b^(3/2)*D*arctanh(sqrt(b)*x/sqrt(b*x^2+a)),1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^12,x,4,-1/11*A*(b*x^2+a)^(5/2)/a/x^11+1/99*(6*A*b-11*B*a)*(b*x^2+a)^(5/2)/a^2/x^9-1/693*(24*A*b^2-44*B*a*b+99*C*a^2)*(b*x^2+a)^(5/2)/a^3/x^7+1/3465*(48*A*b^3-11*a*(8*B*b^2-18*C*a*b+63*D*a^2))*(b*x^2+a)^(5/2)/a^4/x^5,1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^14,x,5,-1/13*A*(b*x^2+a)^(5/2)/a/x^13+1/143*(8*A*b-13*B*a)*(b*x^2+a)^(5/2)/a^2/x^11-1/1287*(48*A*b^2-78*B*a*b+143*C*a^2)*(b*x^2+a)^(5/2)/a^3/x^9+1/9009*(192*A*b^3-13*a*(24*B*b^2-44*C*a*b+99*D*a^2))*(b*x^2+a)^(5/2)/a^4/x^7-2/45045*b*(192*A*b^3-13*a*(24*B*b^2-44*C*a*b+99*D*a^2))*(b*x^2+a)^(5/2)/a^5/x^5,1],
[(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A)/x^16,x,6,-1/15*A*(b*x^2+a)^(5/2)/a/x^15+1/39*(2*A*b-3*B*a)*(b*x^2+a)^(5/2)/a^2/x^13-1/429*(16*A*b^2-24*B*a*b+39*C*a^2)*(b*x^2+a)^(5/2)/a^3/x^11+1/1287*(32*A*b^3-a*(48*B*b^2-78*C*a*b+143*D*a^2))*(b*x^2+a)^(5/2)/a^4/x^9-4/9009*b*(32*A*b^3-a*(48*B*b^2-78*C*a*b+143*D*a^2))*(b*x^2+a)^(5/2)/a^5/x^7+8/45045*b^2*(32*A*b^3-a*(48*B*b^2-78*C*a*b+143*D*a^2))*(b*x^2+a)^(5/2)/a^6/x^5,1],
[x^5*(D*x^6+C*x^4+B*x^2+A)/sqrt(b*x^2+a),x,3,a^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*sqrt(b*x^2+a)/b^6-1/3*a*(2*A*b^3-a*(3*B*b^2-4*C*a*b+5*D*a^2))*(b*x^2+a)^(3/2)/b^6+1/5*(A*b^3-a*(3*B*b^2-6*C*a*b+10*D*a^2))*(b*x^2+a)^(5/2)/b^6+1/7*(B*b^2-4*C*a*b+10*D*a^2)*(b*x^2+a)^(7/2)/b^6+1/9*(C*b-5*D*a)*(b*x^2+a)^(9/2)/b^6+1/11*D*(b*x^2+a)^(11/2)/b^6,1],
[x^3*(D*x^6+C*x^4+B*x^2+A)/sqrt(b*x^2+a),x,3,-a*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*sqrt(b*x^2+a)/b^5+1/3*(A*b^3-a*(2*B*b^2-3*C*a*b+4*D*a^2))*(b*x^2+a)^(3/2)/b^5+1/5*(B*b^2-3*C*a*b+6*D*a^2)*(b*x^2+a)^(5/2)/b^5+1/7*(C*b-4*D*a)*(b*x^2+a)^(7/2)/b^5+1/9*D*(b*x^2+a)^(9/2)/b^5,1],
[x*(D*x^6+C*x^4+B*x^2+A)/sqrt(b*x^2+a),x,3,(A*b^3-a*(B*b^2-C*a*b+D*a^2))*sqrt(b*x^2+a)/b^4+1/3*(B*b^2-2*C*a*b+3*D*a^2)*(b*x^2+a)^(3/2)/b^4+1/5*(C*b-3*D*a)*(b*x^2+a)^(5/2)/b^4+1/7*D*(b*x^2+a)^(7/2)/b^4,1],
[(D*x^6+C*x^4+B*x^2+A)/x/sqrt(b*x^2+a),x,6,(B*b^2-C*a*b+D*a^2)*sqrt(b*x^2+a)/b^3+1/3*(C*b-2*D*a)*(b*x^2+a)^(3/2)/b^3+1/5*D*(b*x^2+a)^(5/2)/b^3-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^3/sqrt(b*x^2+a),x,6,(C*b-D*a)*sqrt(b*x^2+a)/b^2-1/2*A*sqrt(b*x^2+a)/a/x^2+1/3*D*(b*x^2+a)^(3/2)/b^2+1/2*(A*b-2*B*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^5/sqrt(b*x^2+a),x,6,D*sqrt(b*x^2+a)/b-1/4*A*sqrt(b*x^2+a)/a/x^4+1/8*(3*A*b-4*B*a)*sqrt(b*x^2+a)/a^2/x^2-1/8*(3*A*b^2-4*B*a*b+8*C*a^2)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^7/sqrt(b*x^2+a),x,6,-1/6*A*sqrt(b*x^2+a)/a/x^6+1/24*(5*A*b-6*B*a)*sqrt(b*x^2+a)/a^2/x^4-1/16*(5*A*b^2-6*B*a*b+8*C*a^2)*sqrt(b*x^2+a)/a^3/x^2+1/16*(5*A*b^3-2*a*(3*B*b^2-4*C*a*b+8*D*a^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^9/sqrt(b*x^2+a),x,7,-1/8*A*sqrt(b*x^2+a)/a/x^8+1/48*(7*A*b-8*B*a)*sqrt(b*x^2+a)/a^2/x^6-1/192*(35*A*b^2-40*B*a*b+48*C*a^2)*sqrt(b*x^2+a)/a^3/x^4+1/128*(35*A*b^3-8*a*(5*B*b^2-6*C*a*b+8*D*a^2))*sqrt(b*x^2+a)/a^4/x^2-1/128*b*(35*A*b^3-8*a*(5*B*b^2-6*C*a*b+8*D*a^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(9/2),1],
[x^4*(D*x^6+C*x^4+B*x^2+A)/sqrt(b*x^2+a),x,7,-1/256*a*(96*A*b^3-a*(80*B*b^2-70*C*a*b+63*D*a^2))*x*sqrt(b*x^2+a)/b^5+1/384*(96*A*b^3-a*(80*B*b^2-70*C*a*b+63*D*a^2))*x^3*sqrt(b*x^2+a)/b^4+1/480*(80*B*b^2-70*C*a*b+63*D*a^2)*x^5*sqrt(b*x^2+a)/b^3+1/80*(10*C*b-9*D*a)*x^7*sqrt(b*x^2+a)/b^2+1/10*D*x^9*sqrt(b*x^2+a)/b+1/256*a^2*(96*A*b^3-a*(80*B*b^2-70*C*a*b+63*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(11/2),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/sqrt(b*x^2+a),x,6,1/128*(64*A*b^3-a*(48*B*b^2-40*C*a*b+35*D*a^2))*x*sqrt(b*x^2+a)/b^4+1/192*(48*B*b^2-40*C*a*b+35*D*a^2)*x^3*sqrt(b*x^2+a)/b^3+1/48*(8*C*b-7*D*a)*x^5*sqrt(b*x^2+a)/b^2+1/8*D*x^7*sqrt(b*x^2+a)/b-1/128*a*(64*A*b^3-a*(48*B*b^2-40*C*a*b+35*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[(D*x^6+C*x^4+B*x^2+A)/sqrt(b*x^2+a),x,5,1/16*(8*B*b^2-6*C*a*b+5*D*a^2)*x*sqrt(b*x^2+a)/b^3+1/24*(6*C*b-5*D*a)*x^3*sqrt(b*x^2+a)/b^2+1/6*D*x^5*sqrt(b*x^2+a)/b+1/16*(16*A*b^3-a*(8*B*b^2-6*C*a*b+5*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/sqrt(b*x^2+a),x,5,-A*sqrt(b*x^2+a)/a/x+1/8*(4*C*b-3*D*a)*x*sqrt(b*x^2+a)/b^2+1/4*D*x^3*sqrt(b*x^2+a)/b+1/8*(8*B*b^2-4*C*a*b+3*D*a^2)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/sqrt(b*x^2+a),x,5,-1/3*A*sqrt(b*x^2+a)/a/x^3+1/3*(2*A*b-3*B*a)*sqrt(b*x^2+a)/a^2/x+1/2*D*x*sqrt(b*x^2+a)/b+1/2*(2*C*b-D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/sqrt(b*x^2+a),x,5,-1/5*A*sqrt(b*x^2+a)/a/x^5+1/15*(4*A*b-5*B*a)*sqrt(b*x^2+a)/a^2/x^3-1/15*(8*A*b^2-10*B*a*b+15*C*a^2)*sqrt(b*x^2+a)/a^3/x+D*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b),1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/sqrt(b*x^2+a),x,4,-1/7*A*sqrt(b*x^2+a)/a/x^7+1/35*(6*A*b-7*B*a)*sqrt(b*x^2+a)/a^2/x^5-1/105*(24*A*b^2-28*B*a*b+35*C*a^2)*sqrt(b*x^2+a)/a^3/x^3+1/105*(48*A*b^3-7*a*(8*B*b^2-10*C*a*b+15*D*a^2))*sqrt(b*x^2+a)/a^4/x,1],
[(D*x^6+C*x^4+B*x^2+A)/x^10/sqrt(b*x^2+a),x,5,-1/9*A*sqrt(b*x^2+a)/a/x^9+1/63*(8*A*b-9*B*a)*sqrt(b*x^2+a)/a^2/x^7-1/105*(16*A*b^2-18*B*a*b+21*C*a^2)*sqrt(b*x^2+a)/a^3/x^5+1/315*(64*A*b^3-3*a*(24*B*b^2-28*C*a*b+35*D*a^2))*sqrt(b*x^2+a)/a^4/x^3-2/315*b*(64*A*b^3-3*a*(24*B*b^2-28*C*a*b+35*D*a^2))*sqrt(b*x^2+a)/a^5/x,1],
[x^5*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(3/2),x,3,-a^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^6/sqrt(b*x^2+a)-a*(2*A*b^3-a*(3*B*b^2-4*C*a*b+5*D*a^2))*sqrt(b*x^2+a)/b^6+1/3*(A*b^3-a*(3*B*b^2-6*C*a*b+10*D*a^2))*(b*x^2+a)^(3/2)/b^6+1/5*(B*b^2-4*C*a*b+10*D*a^2)*(b*x^2+a)^(5/2)/b^6+1/7*(C*b-5*D*a)*(b*x^2+a)^(7/2)/b^6+1/9*D*(b*x^2+a)^(9/2)/b^6,1],
[x^3*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(3/2),x,3,a*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^5/sqrt(b*x^2+a)+(A*b^3-a*(2*B*b^2-3*C*a*b+4*D*a^2))*sqrt(b*x^2+a)/b^5+1/3*(B*b^2-3*C*a*b+6*D*a^2)*(b*x^2+a)^(3/2)/b^5+1/5*(C*b-4*D*a)*(b*x^2+a)^(5/2)/b^5+1/7*D*(b*x^2+a)^(7/2)/b^5,1],
[x*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(3/2),x,3,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^4/sqrt(b*x^2+a)+(B*b^2-2*C*a*b+3*D*a^2)*sqrt(b*x^2+a)/b^4+1/3*(C*b-3*D*a)*(b*x^2+a)^(3/2)/b^4+1/5*D*(b*x^2+a)^(5/2)/b^4,1],
[(D*x^6+C*x^4+B*x^2+A)/x/(b*x^2+a)^(3/2),x,6,(A/a-(B*b^2-C*a*b+D*a^2)/b^3)/sqrt(b*x^2+a)+(C*b-2*D*a)*sqrt(b*x^2+a)/b^3+1/3*D*(b*x^2+a)^(3/2)/b^3-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^3/(b*x^2+a)^(3/2),x,6,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^2/b^2/sqrt(b*x^2+a)+D*sqrt(b*x^2+a)/b^2-1/2*A*sqrt(b*x^2+a)/a^2/x^2+1/2*(3*A*b-2*B*a)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^5/(b*x^2+a)^(3/2),x,6,(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^3/b/sqrt(b*x^2+a)-1/4*A*sqrt(b*x^2+a)/a^2/x^4+1/8*(7*A*b-4*B*a)*sqrt(b*x^2+a)/a^3/x^2-1/8*(15*A*b^2-12*B*a*b+8*C*a^2)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^7/(b*x^2+a)^(3/2),x,7,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^4/sqrt(b*x^2+a)-1/6*A*sqrt(b*x^2+a)/a^2/x^6+1/24*(11*A*b-6*B*a)*sqrt(b*x^2+a)/a^3/x^4-1/16*(19*A*b^2-14*B*a*b+8*C*a^2)*sqrt(b*x^2+a)/a^4/x^2+1/16*(35*A*b^3-2*a*(15*B*b^2-12*C*a*b+8*D*a^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(9/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^9/(b*x^2+a)^(3/2),x,8,b*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/a^5/sqrt(b*x^2+a)-1/8*A*sqrt(b*x^2+a)/a^2/x^8+1/48*(15*A*b-8*B*a)*sqrt(b*x^2+a)/a^3/x^6-1/192*(123*A*b^2-88*B*a*b+48*C*a^2)*sqrt(b*x^2+a)/a^4/x^4+1/128*(187*A*b^3-8*a*(19*B*b^2-14*C*a*b+8*D*a^2))*sqrt(b*x^2+a)/a^5/x^2-1/128*b*(315*A*b^3-8*a*(35*B*b^2-30*C*a*b+24*D*a^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(11/2),1],
[x^4*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(3/2),x,7,a*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^5/sqrt(b*x^2+a)+1/128*(64*A*b^3-a*(112*B*b^2-152*C*a*b+187*D*a^2))*x*sqrt(b*x^2+a)/b^5+1/192*(48*B*b^2-88*C*a*b+123*D*a^2)*x^3*sqrt(b*x^2+a)/b^4+1/48*(8*C*b-15*D*a)*x^5*sqrt(b*x^2+a)/b^3+1/8*D*x^7*sqrt(b*x^2+a)/b^2-1/128*a*(192*A*b^3-5*a*(48*B*b^2-56*C*a*b+63*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(11/2),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(3/2),x,6,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/b^4/sqrt(b*x^2+a)+1/16*(8*B*b^2-14*C*a*b+19*D*a^2)*x*sqrt(b*x^2+a)/b^4+1/24*(6*C*b-11*D*a)*x^3*sqrt(b*x^2+a)/b^3+1/6*D*x^5*sqrt(b*x^2+a)/b^2+1/16*(16*A*b^3-a*(24*B*b^2-30*C*a*b+35*D*a^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(3/2),x,5,(A/a-(B*b^2-C*a*b+D*a^2)/b^3)*x/sqrt(b*x^2+a)+1/8*(4*C*b-7*D*a)*x*sqrt(b*x^2+a)/b^3+1/4*D*x^3*sqrt(b*x^2+a)/b^2+1/8*(8*B*b^2-12*C*a*b+15*D*a^2)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/(b*x^2+a)^(3/2),x,5,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^2/b^2/sqrt(b*x^2+a)-A*sqrt(b*x^2+a)/a^2/x+1/2*D*x*sqrt(b*x^2+a)/b^2+1/2*(2*C*b-3*D*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/(b*x^2+a)^(3/2),x,5,(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^3/b/sqrt(b*x^2+a)-1/3*A*sqrt(b*x^2+a)/a^2/x^3+1/3*(5*A*b-3*B*a)*sqrt(b*x^2+a)/a^3/x+D*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/(b*x^2+a)^(3/2),x,4,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^4/sqrt(b*x^2+a)-1/5*A*sqrt(b*x^2+a)/a^2/x^5+1/15*(9*A*b-5*B*a)*sqrt(b*x^2+a)/a^3/x^3-1/15*(33*A*b^2-25*B*a*b+15*C*a^2)*sqrt(b*x^2+a)/a^4/x,1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/(b*x^2+a)^(3/2),x,5,b*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^5/sqrt(b*x^2+a)-1/7*A*sqrt(b*x^2+a)/a^2/x^7+1/35*(13*A*b-7*B*a)*sqrt(b*x^2+a)/a^3/x^5-1/105*(87*A*b^2-63*B*a*b+35*C*a^2)*sqrt(b*x^2+a)/a^4/x^3+1/105*(279*A*b^3-7*a*(33*B*b^2-25*C*a*b+15*D*a^2))*sqrt(b*x^2+a)/a^5/x,1],
[(D*x^6+C*x^4+B*x^2+A)/x^10/(b*x^2+a)^(3/2),x,6,-b^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*x/a^6/sqrt(b*x^2+a)-1/9*A*sqrt(b*x^2+a)/a^2/x^9+1/63*(17*A*b-9*B*a)*sqrt(b*x^2+a)/a^3/x^7-1/105*(55*A*b^2-39*B*a*b+21*C*a^2)*sqrt(b*x^2+a)/a^4/x^5+1/315*(325*A*b^3-3*a*(87*B*b^2-63*C*a*b+35*D*a^2))*sqrt(b*x^2+a)/a^5/x^3-1/315*b*(965*A*b^3-837*B*a*b^2+693*C*a^2*b-525*D*a^3)*sqrt(b*x^2+a)/a^6/x,1],
[x^6*(B*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x,8,-1/7*a^2*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/b^6/(b*x^2+a)^(7/2)+1/35*a*(15*A*b^3-a*(36*B*a^2+22*B*b^2-29*C*a*b))*x/b^6/(b*x^2+a)^(5/2)-1/105*(45*A*b^3-a*(381*B*a^2+122*B*b^2-234*C*a*b))*x/b^6/(b*x^2+a)^(3/2)+1/105*(15*A*b^3-2*a*(669*B*a^2+88*B*b^2-291*C*a*b))*x/a/b^6/sqrt(b*x^2+a)-1/8*(19*B*a-4*C*b)*x*sqrt(b*x^2+a)/b^6+1/4*B*x^3*sqrt(b*x^2+a)/b^5+1/8*(99*B*a^2+8*B*b^2-36*C*a*b)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(13/2),1],
[x^4*(B*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x,7,1/7*a*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/b^5/(b*x^2+a)^(7/2)-1/35*(8*A*b^3-a*(29*B*a^2+15*B*b^2-22*C*a*b))*x/b^5/(b*x^2+a)^(5/2)+1/105*(3*A*b^3-a*(234*B*a^2+45*B*b^2-122*C*a*b))*x/a/b^5/(b*x^2+a)^(3/2)+1/105*(6*A*b^3+a*(582*B*a^2+15*B*b^2-176*C*a*b))*x/a^2/b^5/sqrt(b*x^2+a)+1/2*B*x*sqrt(b*x^2+a)/b^5-1/2*(9*B*a-2*C*b)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(11/2),1],
[x^2*(B*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x,6,-1/7*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/b^4/(b*x^2+a)^(7/2)+1/35*(A*b^3-a*(22*B*a^2+8*B*b^2-15*C*a*b))*x/a/b^4/(b*x^2+a)^(5/2)+1/105*(4*A*b^3+a*(122*B*a^2+3*B*b^2-45*C*a*b))*x/a^2/b^4/(b*x^2+a)^(3/2)+1/105*(8*A*b^3-a*(176*B*a^2-6*B*b^2-15*C*a*b))*x/a^3/b^4/sqrt(b*x^2+a)+B*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[(B*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x,4,1/7*(A/a-(B*a^2+B*b^2-C*a*b)/b^3)*x/(b*x^2+a)^(7/2)+1/35*(6*A*b^3+a*(15*B*a^2+B*b^2-8*C*a*b))*x/a^2/b^3/(b*x^2+a)^(5/2)+1/105*(24*A*b^3-a*(45*B*a^2-4*B*b^2-3*C*a*b))*x/a^3/b^3/(b*x^2+a)^(3/2)+1/105*(48*A*b^3+a*(15*B*a^2+8*B*b^2+6*C*a*b))*x/a^4/b^3/sqrt(b*x^2+a),1],
[(B*x^6+C*x^4+B*x^2+A)/x^2/(b*x^2+a)^(9/2),x,5,-1/7*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/a^2/b^2/(b*x^2+a)^(7/2)-1/35*(13*A*b^3+a*(8*B*a^2-6*B*b^2-C*a*b))*x/a^3/b^2/(b*x^2+a)^(5/2)-A/a^3/x/(b*x^2+a)^(3/2)-1/105*(192*A*b^3-a*(3*B*a^2+24*B*b^2+4*C*a*b))*x/a^4/b^2/(b*x^2+a)^(3/2)-2/105*(192*A*b^3-a*(3*B*a^2+24*B*b^2+4*C*a*b))*x/a^5/b^2/sqrt(b*x^2+a),1],
[(B*x^6+C*x^4+B*x^2+A)/x^4/(b*x^2+a)^(9/2),x,6,1/7*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/a^3/b/(b*x^2+a)^(7/2)+1/35*(20*A*b^3+a*(B*a^2-13*B*b^2+6*C*a*b))*x/a^4/b/(b*x^2+a)^(5/2)+1/105*(185*A*b^3+a*(4*B*a^2-87*B*b^2+24*C*a*b))*x/a^5/b/(b*x^2+a)^(3/2)+1/105*(790*A*b^3+a*(8*B*a^2-279*B*b^2+48*C*a*b))*x/a^6/b/sqrt(b*x^2+a)-1/3*A*sqrt(b*x^2+a)/a^5/x^3+1/3*(14*A*b-3*B*a)*sqrt(b*x^2+a)/a^6/x,1],
[(B*x^6+C*x^4+B*x^2+A)/x^6/(b*x^2+a)^(9/2),x,7,-1/7*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/a^4/(b*x^2+a)^(7/2)-1/35*(27*A*b^3-a*(6*B*a^2+20*B*b^2-13*C*a*b))*x/a^5/(b*x^2+a)^(5/2)-1/105*(318*A*b^3-a*(24*B*a^2+185*B*b^2-87*C*a*b))*x/a^6/(b*x^2+a)^(3/2)-1/105*(1686*A*b^3-a*(48*B*a^2+790*B*b^2-279*C*a*b))*x/a^7/sqrt(b*x^2+a)-1/5*A*sqrt(b*x^2+a)/a^5/x^5+1/15*(24*A*b-5*B*a)*sqrt(b*x^2+a)/a^6/x^3-1/15*(198*A*b^2-70*B*a*b+15*C*a^2)*sqrt(b*x^2+a)/a^7/x,1],
[(B*x^6+C*x^4+B*x^2+A)/x^8/(b*x^2+a)^(9/2),x,8,1/7*b*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/a^5/(b*x^2+a)^(7/2)+1/35*b*(34*A*b^3-a*(13*B*a^2+27*B*b^2-20*C*a*b))*x/a^6/(b*x^2+a)^(5/2)+1/105*b*(486*A*b^3-a*(87*B*a^2+318*B*b^2-185*C*a*b))*x/a^7/(b*x^2+a)^(3/2)+1/105*b*(3072*A*b^3-a*(279*B*a^2+1686*B*b^2-790*C*a*b))*x/a^8/sqrt(b*x^2+a)-1/7*A*sqrt(b*x^2+a)/a^5/x^7+1/35*(34*A*b-7*B*a)*sqrt(b*x^2+a)/a^6/x^5-1/105*(486*A*b^2-168*B*a*b+35*C*a^2)*sqrt(b*x^2+a)/a^7/x^3+1/105*(3072*A*b^3-7*a*(15*B*a^2+198*B*b^2-70*C*a*b))*sqrt(b*x^2+a)/a^8/x,1],
[(B*x^6+C*x^4+B*x^2+A)/x^10/(b*x^2+a)^(9/2),x,9,-1/7*b^2*(A*b^3-a*(B*a^2+B*b^2-C*a*b))*x/a^6/(b*x^2+a)^(7/2)-1/35*b^2*(41*A*b^3-a*(20*B*a^2+34*B*b^2-27*C*a*b))*x/a^7/(b*x^2+a)^(5/2)-1/105*b^2*(689*A*b^3-a*(185*B*a^2+486*B*b^2-318*C*a*b))*x/a^8/(b*x^2+a)^(3/2)-1/105*b^2*(5053*A*b^3-2*a*(395*B*a^2+1536*B*b^2-843*C*a*b))*x/a^9/sqrt(b*x^2+a)-1/9*A*sqrt(b*x^2+a)/a^5/x^9+1/63*(44*A*b-9*B*a)*sqrt(b*x^2+a)/a^6/x^7-1/105*(298*A*b^2-102*B*a*b+21*C*a^2)*sqrt(b*x^2+a)/a^7/x^5+1/315*(3292*A*b^3-3*a*(35*B*a^2+486*B*b^2-168*C*a*b))*sqrt(b*x^2+a)/a^8/x^3-1/315*b*(17609*A*b^3-6*a*(245*B*a^2+1536*B*b^2-693*C*a*b))*sqrt(b*x^2+a)/a^9/x,1],
[(D*x^11+C*x^9+B*x^7+A*x^5)/sqrt(b*x^2+a),x,4,a^2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*sqrt(b*x^2+a)/b^6-1/3*a*(2*A*b^3-a*(3*B*b^2-4*C*a*b+5*D*a^2))*(b*x^2+a)^(3/2)/b^6+1/5*(A*b^3-a*(3*B*b^2-6*C*a*b+10*D*a^2))*(b*x^2+a)^(5/2)/b^6+1/7*(B*b^2-4*C*a*b+10*D*a^2)*(b*x^2+a)^(7/2)/b^6+1/9*(C*b-5*D*a)*(b*x^2+a)^(9/2)/b^6+1/11*D*(b*x^2+a)^(11/2)/b^6,1],
[(D*x^9+C*x^7+B*x^5+A*x^3)/sqrt(b*x^2+a),x,4,-a*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*sqrt(b*x^2+a)/b^5+1/3*(A*b^3-a*(2*B*b^2-3*C*a*b+4*D*a^2))*(b*x^2+a)^(3/2)/b^5+1/5*(B*b^2-3*C*a*b+6*D*a^2)*(b*x^2+a)^(5/2)/b^5+1/7*(C*b-4*D*a)*(b*x^2+a)^(7/2)/b^5+1/9*D*(b*x^2+a)^(9/2)/b^5,1],
[(D*x^7+C*x^5+B*x^3+A*x)/sqrt(b*x^2+a),x,4,(A*b^3-a*(B*b^2-C*a*b+D*a^2))*sqrt(b*x^2+a)/b^4+1/3*(B*b^2-2*C*a*b+3*D*a^2)*(b*x^2+a)^(3/2)/b^4+1/5*(C*b-3*D*a)*(b*x^2+a)^(5/2)/b^4+1/7*D*(b*x^2+a)^(7/2)/b^4,1],
[(c*x)^m*(b*x^2+a)^3*(D*x^6+C*x^4+B*x^2+A),x,3,a^3*A*(c*x)^(1+m)/c/(1+m)+a^2*(3*A*b+B*a)*(c*x)^(3+m)/c^3/(3+m)+a*(3*A*b^2+a*(3*B*b+C*a))*(c*x)^(5+m)/c^5/(5+m)+(A*b^3+a*(3*B*b^2+3*C*a*b+D*a^2))*(c*x)^(7+m)/c^7/(7+m)+b*(B*b^2+3*C*a*b+3*D*a^2)*(c*x)^(9+m)/c^9/(9+m)+b^2*(C*b+3*D*a)*(c*x)^(11+m)/c^11/(11+m)+b^3*D*(c*x)^(13+m)/c^13/(13+m),1],
[(c*x)^m*(b*x^2+a)^2*(D*x^6+C*x^4+B*x^2+A),x,3,a^2*A*(c*x)^(1+m)/c/(1+m)+a*(2*A*b+B*a)*(c*x)^(3+m)/c^3/(3+m)+(A*b^2+a*(2*B*b+C*a))*(c*x)^(5+m)/c^5/(5+m)+(B*b^2+2*C*a*b+D*a^2)*(c*x)^(7+m)/c^7/(7+m)+b*(C*b+2*D*a)*(c*x)^(9+m)/c^9/(9+m)+b^2*D*(c*x)^(11+m)/c^11/(11+m),1],
[(c*x)^m*(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A),x,3,a*A*(c*x)^(1+m)/c/(1+m)+(A*b+B*a)*(c*x)^(3+m)/c^3/(3+m)+(B*b+C*a)*(c*x)^(5+m)/c^5/(5+m)+(C*b+D*a)*(c*x)^(7+m)/c^7/(7+m)+b*D*(c*x)^(9+m)/c^9/(9+m),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A),x,2,A*(c*x)^(1+m)/c/(1+m)+B*(c*x)^(3+m)/c^3/(3+m)+C*(c*x)^(5+m)/c^5/(5+m)+D*(c*x)^(7+m)/c^7/(7+m),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a),x,5,(B*b^2-C*a*b+D*a^2)*(c*x)^(1+m)/b^3/c/(1+m)+(C*b-D*a)*(c*x)^(3+m)/b^2/c^3/(3+m)+D*(c*x)^(5+m)/b/c^5/(5+m)+(A*b^3-a*(B*b^2-C*a*b+D*a^2))*(c*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a/b^3/c/(1+m),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^2,x,5,(C*b-2*D*a)*(c*x)^(1+m)/b^3/c/(1+m)+D*(c*x)^(3+m)/b^2/c^3/(3+m)+1/2*(A/a-(B*b^2-C*a*b+D*a^2)/b^3)*(c*x)^(1+m)/c/(b*x^2+a)+1/2*(A*b^3*(1-m)+a*(b^2*B*(1+m)-a*b*C*(3+m)+a^2*D*(5+m)))*(c*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^2/b^3/c/(1+m),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^3,x,5,D*(c*x)^(1+m)/b^3/c/(1+m)+1/4*(A/a-(B*b^2-C*a*b+D*a^2)/b^3)*(c*x)^(1+m)/c/(b*x^2+a)^2+1/8*(A*(3-m)/a+(b^2*B*(1+m)-a*b*C*(5+m)+a^2*D*(9+m))/b^3)*(c*x)^(1+m)/a/c/(b*x^2+a)+1/8*(A*b^3*(m^2-4*m+3)+a*(a*b*C*(m^2+4*m+3)-a^2*D*(m^2+8*m+15)+b^2*(-B*m^2+B)))*(c*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^3/b^3/c/(1+m),1],
[(c*x)^m*(b*x^2+a)^(3/2)*(D*x^6+C*x^4+B*x^2+A),x,6,(a^2*D*(m^2+8*m+15)-a*b*C*(m^2+13*m+30)+b^2*B*(m^2+18*m+80))*(c*x)^(1+m)*(b*x^2+a)^(5/2)/b^3/c/(6+m)/(8+m)/(10+m)-(a*D*(5+m)-b*C*(10+m))*(c*x)^(3+m)*(b*x^2+a)^(5/2)/b^2/c^3/(8+m)/(10+m)+D*(c*x)^(5+m)*(b*x^2+a)^(5/2)/b/c^5/(10+m)+a*(A/(1+m)-a*(a^2*D*(m^2+8*m+15)-a*b*C*(m^2+13*m+30)+b^2*B*(m^2+18*m+80))/b^3/(6+m)/(8+m)/(10+m))*(c*x)^(1+m)*sqrt(b*x^2+a)*hypergeom([-3/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/c/sqrt(1+b*x^2/a),1],
[(c*x)^m*sqrt(b*x^2+a)*(D*x^6+C*x^4+B*x^2+A),x,6,(a^2*D*(m^2+8*m+15)-a*b*C*(m^2+11*m+24)+b^2*B*(m^2+14*m+48))*(c*x)^(1+m)*(b*x^2+a)^(3/2)/b^3/c/(4+m)/(6+m)/(8+m)-(a*D*(5+m)-b*C*(8+m))*(c*x)^(3+m)*(b*x^2+a)^(3/2)/b^2/c^3/(6+m)/(8+m)+D*(c*x)^(5+m)*(b*x^2+a)^(3/2)/b/c^5/(8+m)+(A/(1+m)-a*(a^2*D*(m^2+8*m+15)-a*b*C*(m^2+11*m+24)+b^2*B*(m^2+14*m+48))/b^3/(4+m)/(6+m)/(8+m))*(c*x)^(1+m)*sqrt(b*x^2+a)*hypergeom([-1/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/c/sqrt(1+b*x^2/a),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A)/sqrt(b*x^2+a),x,6,(a^2*D*(m^2+8*m+15)-a*b*C*(m^2+9*m+18)+b^2*B*(m^2+10*m+24))*(c*x)^(1+m)*sqrt(b*x^2+a)/b^3/c/(2+m)/(4+m)/(6+m)-(a*D*(5+m)-b*C*(6+m))*(c*x)^(3+m)*sqrt(b*x^2+a)/b^2/c^3/(4+m)/(6+m)+D*(c*x)^(5+m)*sqrt(b*x^2+a)/b/c^5/(6+m)+(A/(1+m)-a*(a^2*D*(m^2+8*m+15)-a*b*C*(m^2+9*m+18)+b^2*B*(m^2+10*m+24))/b^3/(2+m)/(4+m)/(6+m))*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/c/sqrt(b*x^2+a),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(3/2),x,6,(A/a-(B*b^2-C*a*b+D*a^2)/b^3)*(c*x)^(1+m)/c/sqrt(b*x^2+a)+(b*C*(4+m)-a*D*(7+2*m))*(c*x)^(1+m)*sqrt(b*x^2+a)/b^3/c/(2+m)/(4+m)+D*(c*x)^(3+m)*sqrt(b*x^2+a)/b^2/c^3/(4+m)-(A*b^3*m*(m^2+6*m+8)-a*b^2*B*(m^3+7*m^2+14*m+8)+a^2*b*C*(m^3+8*m^2+19*m+12)-a^3*D*(m^3+9*m^2+23*m+15))*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a/b^3/c/(1+m)/(2+m)/(4+m)/sqrt(b*x^2+a),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(5/2),x,6,1/3*(A/a-(B*b^2-C*a*b+D*a^2)/b^3)*(c*x)^(1+m)/c/(b*x^2+a)^(3/2)+1/3*(A*(2-m)/a+(b^2*B*(1+m)-a*b*C*(4+m)+a^2*D*(7+m))/b^3)*(c*x)^(1+m)/a/c/sqrt(b*x^2+a)+D*(c*x)^(1+m)*sqrt(b*x^2+a)/b^3/c/(2+m)-1/3*(A*b^3*m*(-m^2+4)+a*b^2*B*m*(m^2+3*m+2)-a^2*b*C*(m^3+6*m^2+11*m+6)+a^3*D*(m^3+9*m^2+23*m+15))*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^2/b^3/c/(1+m)/(2+m)/sqrt(b*x^2+a),1],
[(c*x)^m*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(7/2),x,6,1/5*(A/a-(B*b^2-C*a*b+D*a^2)/b^3)*(c*x)^(1+m)/c/(b*x^2+a)^(5/2)+1/15*(A*(4-m)/a+(b^2*B*(1+m)-a*b*C*(6+m)+a^2*D*(11+m))/b^3)*(c*x)^(1+m)/a/c/(b*x^2+a)^(3/2)+D*(c*x)^(1+m)/b^3/c/m/sqrt(b*x^2+a)+1/15*(a*b^2*B*(2-m)+a^2*b*C*(3+m)+A*b^3*(m^2-6*m+8)/(1+m)-a^3*D*(m^2+8*m+15)/m)*(c*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a^3/b^3/c/sqrt(b*x^2+a),1],
[(c*x)^m*(b*x^2+a)^p*(D*x^6+C*x^4+B*x^2+A),x,6,(a^2*D*(m^2+8*m+15)-a*b*C*(3+m)*(7+m+2*p)+b^2*B*(35+m^2+24*p+4*p^2+4*m*(3+p)))*(c*x)^(1+m)*(b*x^2+a)^(p+1)/b^3/c/(3+m+2*p)/(5+m+2*p)/(7+m+2*p)-(a*D*(5+m)-b*C*(7+m+2*p))*(c*x)^(3+m)*(b*x^2+a)^(p+1)/b^2/c^3/(5+m+2*p)/(7+m+2*p)+D*(c*x)^(5+m)*(b*x^2+a)^(p+1)/b/c^5/(7+m+2*p)+(A/(1+m)-a*(a^2*D*(m^2+8*m+15)-a*b*C*(3+m)*(7+m+2*p)+b^2*B*(35+m^2+24*p+4*p^2+4*m*(3+p)))/b^3/(3+m+2*p)/(5+m+2*p)/(7+m+2*p))*(c*x)^(1+m)*(b*x^2+a)^p*hypergeom([1/2+1/2*m, -p],[3/2+1/2*m],-b*x^2/a)/c/((1+b*x^2/a)^p),1],
[x^2*(F*x^8+D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x,7,-1/7*(A*b^4-a*(B*b^3-C*a*b^2+D*a^2*b-F*a^3))*x/b^5/(b*x^2+a)^(7/2)+1/35*(A*b^4-a*(8*B*b^3-15*C*a*b^2+22*D*a^2*b-29*F*a^3))*x/a/b^5/(b*x^2+a)^(5/2)+1/105*(4*A*b^4+a*(3*B*b^3-45*C*a*b^2+122*D*a^2*b-234*F*a^3))*x/a^2/b^5/(b*x^2+a)^(3/2)+1/105*(8*A*b^4+a*(6*B*b^3+15*C*a*b^2-176*D*a^2*b+582*F*a^3))*x/a^3/b^5/sqrt(b*x^2+a)+1/2*F*x*sqrt(b*x^2+a)/b^5+1/2*(2*D*b-9*F*a)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(11/2),1],
[(F*x^8+D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x,6,1/7*(A/a-(B*b^3-C*a*b^2+D*a^2*b-F*a^3)/b^4)*x/(b*x^2+a)^(7/2)+1/35*(6*A/a+(B*b^3-8*C*a*b^2+15*D*a^2*b-22*F*a^3)/b^4)*x/a/(b*x^2+a)^(5/2)+1/105*(24*A*b^4+a*(4*B*b^3+3*C*a*b^2-45*D*a^2*b+122*F*a^3))*x/a^3/b^4/(b*x^2+a)^(3/2)+1/105*(48*A*b^4+a*(8*B*b^3+6*C*a*b^2+15*D*a^2*b-176*F*a^3))*x/a^4/b^4/sqrt(b*x^2+a)+F*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(9/2),1],
[(F*x^8+D*x^6+C*x^4+B*x^2+A)/x^2/(b*x^2+a)^(9/2),x,5,-1/7*(A*b^4-a*(B*b^3-C*a*b^2+D*a^2*b-F*a^3))*x/a^2/b^3/(b*x^2+a)^(7/2)-1/35*(13*A*b^4-a*(6*B*b^3+C*a*b^2-8*D*a^2*b+15*F*a^3))*x/a^3/b^3/(b*x^2+a)^(5/2)-1/105*(87*A*b^4-a*(24*B*b^3+4*C*a*b^2+3*D*a^2*b-45*F*a^3))*x/a^4/b^3/(b*x^2+a)^(3/2)-A/a^4/x/sqrt(b*x^2+a)-1/105*(384*A*b^4-a*(48*B*b^3+8*C*a*b^2+6*D*a^2*b+15*F*a^3))*x/a^5/b^3/sqrt(b*x^2+a),1],
[(F*x^8+D*x^6+C*x^4+B*x^2+A)/x^4/(b*x^2+a)^(9/2),x,6,1/7*(A*b^4-a*(B*b^3-C*a*b^2+D*a^2*b-F*a^3))*x/a^3/b^2/(b*x^2+a)^(7/2)+1/35*(20*A*b^4-a*(13*B*b^3-6*C*a*b^2-D*a^2*b+8*F*a^3))*x/a^4/b^2/(b*x^2+a)^(5/2)+1/105*(185*A*b^4-a*(87*B*b^3-24*C*a*b^2-4*D*a^2*b-3*F*a^3))*x/a^5/b^2/(b*x^2+a)^(3/2)+1/105*(790*A*b^4-a*(279*B*b^3-48*C*a*b^2-8*D*a^2*b-6*F*a^3))*x/a^6/b^2/sqrt(b*x^2+a)-1/3*A*sqrt(b*x^2+a)/a^5/x^3+1/3*(14*A*b-3*B*a)*sqrt(b*x^2+a)/a^6/x,1],
[(F*x^8+D*x^6+C*x^4+B*x^2+A)/x^6/(b*x^2+a)^(9/2),x,7,-1/7*(A*b^4-a*(B*b^3-C*a*b^2+D*a^2*b-F*a^3))*x/a^4/b/(b*x^2+a)^(7/2)-1/35*(27*A*b^4-a*(20*B*b^3-13*C*a*b^2+6*D*a^2*b+F*a^3))*x/a^5/b/(b*x^2+a)^(5/2)-1/105*(318*A*b^4-a*(185*B*b^3-87*C*a*b^2+24*D*a^2*b+4*F*a^3))*x/a^6/b/(b*x^2+a)^(3/2)-1/105*(1686*A*b^4-a*(790*B*b^3-279*C*a*b^2+48*D*a^2*b+8*F*a^3))*x/a^7/b/sqrt(b*x^2+a)-1/5*A*sqrt(b*x^2+a)/a^5/x^5+1/15*(24*A*b-5*B*a)*sqrt(b*x^2+a)/a^6/x^3-1/15*(198*A*b^2-70*B*a*b+15*C*a^2)*sqrt(b*x^2+a)/a^7/x,1]]: