lst:=[[(C*x^4+B*x^2+A)/sqrt((b*x^2+a)*(d*x^2+c)),x,6,-1/3*(-3*B*b*d+2*C*a*d+2*C*b*c)*x*(d*x^2+c)/b/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+1/3*C*x*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/b/d+1/3*c*(-3*B*b*d+2*C*a*d+2*C*b*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/sqrt(a)/b^(3/2)/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/3*(-3*A*b*d+C*a*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/sqrt(a)/b^(3/2)/d/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[(C*x^4+B*x^2+A)/sqrt((b*x^2+a)*(-d*x^2+c)),x,6,-1/3*C*x*sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)/b/d+1/3*a*sqrt(c)*(3*B*b*d-2*C*a*d+2*C*b*c)*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(-b*c/a/d))/b^2/d^(3/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)+1/3*sqrt(c)*(3*A*b^2*d+2*a^2*C*d-a*b*(3*B*d+C*c))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(-b*c/a/d))/b^2/d^(3/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),1],
[(C*x^4+B*x^2+A)/sqrt((-b*x^2+a)*(d*x^2+c)),x,6,-1/3*C*x*sqrt(a*c-(-a*d+b*c)*x^2-b*d*x^4)/b/d-1/3*sqrt(a)*c*(-3*B*b*d-2*C*a*d+2*C*b*c)*sqrt(1-b*x^2/a)*sqrt(1+d*x^2/c)*EllipticE(sin(arcsin(sqrt(b)*x/sqrt(a))),sqrt(-a*d/b/c))/b^(3/2)/d^2/sqrt(a*c-(-a*d+b*c)*x^2-b*d*x^4)-1/3*sqrt(a)*(a*c*C*d-b*(3*A*d^2-3*B*c*d+2*C*c^2))*sqrt(1-b*x^2/a)*sqrt(1+d*x^2/c)*InverseJacobiAM(arcsin(sqrt(b)*x/sqrt(a)),sqrt(-a*d/b/c))/b^(3/2)/d^2/sqrt(a*c-(-a*d+b*c)*x^2-b*d*x^4),1],
[(C*x^4+B*x^2+A)/sqrt((-b*x^2+a)*(-d*x^2+c)),x,6,1/3*C*x*sqrt(a*c-(a*d+b*c)*x^2+b*d*x^4)/b/d-1/3*a*sqrt(c)*(3*B*b*d+2*C*a*d+2*C*b*c)*sqrt(1-b*x^2/a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(b*c/a/d))/b^2/d^(3/2)/sqrt(a*c-(a*d+b*c)*x^2+b*d*x^4)+1/3*sqrt(c)*(3*A*b^2*d+2*a^2*C*d+a*b*(3*B*d+C*c))*sqrt(1-b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(b*c/a/d))/b^2/d^(3/2)/sqrt(a*c-(a*d+b*c)*x^2+b*d*x^4),1],
[(C*x^4+B*x^2+A)*(a*c+(a*d+b*c)*x^2+b*d*x^4)^(3/2),x,7,-1/3465*(48*a^5*C*d^5-8*a^4*b*d^4*(11*B*d+15*C*c)+6*a^2*b^3*c*d^2*(-165*A*d^2-33*B*c*d+8*C*c^2)+2*b^5*c^3*(99*A*d^2-44*B*c*d+24*C*c^2)-5*a*b^4*c^2*d*(198*A*d^2-55*B*c*d+24*C*c^2)+a^3*b^2*d^3*(198*A*d^2+275*B*c*d+48*C*c^2))*x*(d*x^2+c)/b^3/d^4/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+1/3465*x*(24*a^4*C*d^4+11*a^3*b*d^3*(-4*B*d+3*C*c)-3*a^2*b^2*d^2*(-33*A*d^2+11*B*c*d+24*C*c^2)+33*a*b^3*c*d*(36*A*d^2-B*c*d+C*c^2)+b^4*c^2*(99*A*d^2-44*B*c*d+24*C*c^2)-3*b*d*(9*b*d*(a*d+b*c)*(-11*A*b*d+C*a*c)+14*a*b*c*d*(-11*B*b*d+6*C*a*d+6*C*b*c)-4*(a*d+b*c)^2*(-11*B*b*d+6*C*a*d+6*C*b*c))*x^2)*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/b^3/d^3-1/693*x*(9*b*d*(-11*A*b*d+C*a*c)+3*(a*d+b*c)*(-11*B*b*d+6*C*a*d+6*C*b*c)+7*b*d*(-11*B*b*d+6*C*a*d+6*C*b*c)*x^2)*(a*c+(a*d+b*c)*x^2+b*d*x^4)^(3/2)/b^2/d^2+1/11*C*x*(a*c+(a*d+b*c)*x^2+b*d*x^4)^(5/2)/b/d+1/3465*c*(48*a^5*C*d^5-8*a^4*b*d^4*(11*B*d+15*C*c)+6*a^2*b^3*c*d^2*(-165*A*d^2-33*B*c*d+8*C*c^2)+2*b^5*c^3*(99*A*d^2-44*B*c*d+24*C*c^2)-5*a*b^4*c^2*d*(198*A*d^2-55*B*c*d+24*C*c^2)+a^3*b^2*d^3*(198*A*d^2+275*B*c*d+48*C*c^2))*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/sqrt(a)/b^(7/2)/d^4/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/3465*sqrt(a)*c*(24*a^4*C*d^4-a^3*b*d^3*(44*B*d+57*C*c)+3*a^2*b^2*d^2*(33*A*d^2+44*B*c*d+6*C*c^2)+b^4*c^2*(99*A*d^2-44*B*c*d+24*C*c^2)-3*a*b^3*c*d*(594*A*d^2-44*B*c*d+19*C*c^2))*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/b^(7/2)/d^3/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[(C*x^4+B*x^2+A)*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),x,6,-1/105*(5*b*d*(a*d+b*c)*(-7*A*b*d+C*a*c)+6*a*b*c*d*(-7*B*b*d+4*C*a*d+4*C*b*c)-2*(a*d+b*c)^2*(-7*B*b*d+4*C*a*d+4*C*b*c))*x*(d*x^2+c)/b^2/d^3/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/105*x*(5*b*d*(-7*A*b*d+C*a*c)+(a*d+b*c)*(-7*B*b*d+4*C*a*d+4*C*b*c)+3*b*d*(-7*B*b*d+4*C*a*d+4*C*b*c)*x^2)*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/b^2/d^2+1/7*C*x*(a*c+(a*d+b*c)*x^2+b*d*x^4)^(3/2)/b/d+1/105*c*(5*b*d*(a*d+b*c)*(-7*A*b*d+C*a*c)+6*a*b*c*d*(-7*B*b*d+4*C*a*d+4*C*b*c)-2*(a*d+b*c)^2*(-7*B*b*d+4*C*a*d+4*C*b*c))*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/sqrt(a)/b^(5/2)/d^3/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/105*sqrt(a)*c*(10*b*d*(-7*A*b*d+C*a*c)-(a*d+b*c)*(-7*B*b*d+4*C*a*d+4*C*b*c))*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/b^(5/2)/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[(C*x^4+B*x^2+A)/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),x,5,-1/3*(-3*B*b*d+2*C*a*d+2*C*b*c)*x*(d*x^2+c)/b/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+1/3*C*x*sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)/b/d+1/3*c*(-3*B*b*d+2*C*a*d+2*C*b*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/sqrt(a)/b^(3/2)/d^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/3*(-3*A*b*d+C*a*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/sqrt(a)/b^(3/2)/d/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[(C*x^4+B*x^2+A)/(a*c+(a*d+b*c)*x^2+b*d*x^4)^(3/2),x,4,-(A*d^2-B*c*d+C*c^2)*x/c/d/(-a*d+b*c)/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+(A*b^2*c*d+a^2*c*C*d+a*b*(A*d^2-2*B*c*d+C*c^2))*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/a^(3/2)/sqrt(b)/d/(-a*d+b*c)^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+(-2*A*b*d+B*a*d+B*b*c-2*C*a*c)*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/sqrt(a)/sqrt(b)/(-a*d+b*c)^2/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[(C*x^4+B*x^2+A)/(a*c+(a*d+b*c)*x^2+b*d*x^4)^(5/2),x,5,-1/3*x*(a*c*(B*a*d+B*b*c-2*C*a*c)-A*(a^2*d^2+b^2*c^2)-(A*b^2*c*d+a^2*c*C*d+a*b*(A*d^2-2*B*c*d+C*c^2))*x^2)/a/c/(-a*d+b*c)^2/(a*c+(a*d+b*c)*x^2+b*d*x^4)^(3/2)+1/3*(A*b^2*c^2*d+a^2*d*(-2*A*d^2-B*c*d+5*C*c^2)+a*b*c*(9*A*d^2-7*B*c*d+3*C*c^2))*x/a/c^2/(-a*d+b*c)^3/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)+1/3*sqrt(b)*(2*A*(a^3*d^3-5*a^2*b*c*d^2-5*a*b^2*c^2*d+b^3*c^3)+a*c*(b^2*B*c^2-2*a*b*c*(-7*B*d+4*C*c)-a^2*d*(-B*d+8*C*c)))*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*EllipticE(sin(arctan(sqrt(b)*x/sqrt(a))),sqrt(1-a*d/b/c))/a^(5/2)/c/(-a*d+b*c)^4/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4)-1/3*(A*b^3*c^2*d-3*a^3*c*C*d^2-a^2*b*d*(-A*d^2-8*B*c*d+10*C*c^2)-a*b^2*c*(18*A*d^2-8*B*c*d+3*C*c^2))*(b*x^2+a)*sqrt(a*(d*x^2+c)/c/(b*x^2+a))*InverseJacobiAM(arctan(sqrt(b)*x/sqrt(a)),sqrt(1-a*d/b/c))/a^(3/2)/sqrt(b)/c/(-a*d+b*c)^4/sqrt(a*c+(a*d+b*c)*x^2+b*d*x^4),1],
[(C*x^4+B*x^2+A)*(a*c+(-a*d+b*c)*x^2-b*d*x^4)^(3/2),x,7,-1/3465*x*(24*a^4*C*d^4-11*a^3*b*d^3*(4*B*d+3*C*c)-3*a^2*b^2*d^2*(-33*A*d^2-11*B*c*d+24*C*c^2)-33*a*b^3*c*d*(36*A*d^2+B*c*d+C*c^2)+b^4*c^2*(99*A*d^2+44*B*c*d+24*C*c^2)-3*b*d*(9*b*d*(-a*d+b*c)*(11*A*b*d+C*a*c)+14*a*b*c*d*(11*B*b*d-6*C*a*d+6*C*b*c)+4*(-a*d+b*c)^2*(11*B*b*d-6*C*a*d+6*C*b*c))*x^2)*sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)/b^3/d^3+1/693*x*(9*b*d*(11*A*b*d+C*a*c)-3*(-a*d+b*c)*(11*B*b*d-6*C*a*d+6*C*b*c)+7*b*d*(11*B*b*d-6*C*a*d+6*C*b*c)*x^2)*(a*c+(-a*d+b*c)*x^2-b*d*x^4)^(3/2)/b^2/d^2-1/11*C*x*(a*c+(-a*d+b*c)*x^2-b*d*x^4)^(5/2)/b/d-1/3465*a*sqrt(c)*(48*a^5*C*d^5+8*a^4*b*d^4*(-11*B*d+15*C*c)-6*a^2*b^3*c*d^2*(-165*A*d^2+33*B*c*d+8*C*c^2)-2*b^5*c^3*(99*A*d^2+44*B*c*d+24*C*c^2)+a^3*b^2*d^3*(198*A*d^2-275*B*c*d+48*C*c^2)-5*a*b^4*c^2*d*(198*A*d^2+55*B*c*d+24*C*c^2))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(-b*c/a/d))/b^4/d^(7/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)+1/3465*a*sqrt(c)*(a*d+b*c)*(48*a^4*C*d^4+8*a^3*b*d^3*(-11*B*d+12*C*c)-3*a*b^3*c*d*(-297*A*d^2+33*B*c*d+13*C*c^2)+3*a^2*b^2*d^2*(66*A*d^2-77*B*c*d+3*C*c^2)-b^4*c^2*(99*A*d^2+44*B*c*d+24*C*c^2))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(-b*c/a/d))/b^4/d^(7/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),1],
[(C*x^4+B*x^2+A)*sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),x,6,1/105*x*(5*b*d*(7*A*b*d+C*a*c)-(-a*d+b*c)*(7*B*b*d-4*C*a*d+4*C*b*c)+3*b*d*(7*B*b*d-4*C*a*d+4*C*b*c)*x^2)*sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)/b^2/d^2-1/7*C*x*(a*c+(-a*d+b*c)*x^2-b*d*x^4)^(3/2)/b/d+1/105*a*sqrt(c)*(5*b*d*(-a*d+b*c)*(7*A*b*d+C*a*c)+6*a*b*c*d*(7*B*b*d-4*C*a*d+4*C*b*c)+2*(-a*d+b*c)^2*(7*B*b*d-4*C*a*d+4*C*b*c))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(-b*c/a/d))/b^3/d^(5/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)+1/105*a*sqrt(c)*(a*d+b*c)*(8*a^2*C*d^2+a*b*d*(-14*B*d+C*c)-b^2*(-35*A*d^2+7*B*c*d+4*C*c^2))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(-b*c/a/d))/b^3/d^(5/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),1],
[(C*x^4+B*x^2+A)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),x,5,-1/3*C*x*sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)/b/d+1/3*a*sqrt(c)*(3*B*b*d-2*C*a*d+2*C*b*c)*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(-b*c/a/d))/b^2/d^(3/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)+1/3*sqrt(c)*(3*A*b^2*d+2*a^2*C*d-a*b*(3*B*d+C*c))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(-b*c/a/d))/b^2/d^(3/2)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),1],
[(C*x^4+B*x^2+A)/(a*c+(-a*d+b*c)*x^2-b*d*x^4)^(3/2),x,5,x*(A*(a^2*d^2+b^2*c^2)-a*c*(b*B*c-a*(B*d+2*C*c))-(A*b^2*c*d+a^2*c*C*d-a*b*(A*d^2+2*B*c*d+C*c^2))*x^2)/a/c/(a*d+b*c)^2/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)+(A*b^2*c*d+a^2*c*C*d-a*b*(A*d^2+2*B*c*d+C*c^2))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(-b*c/a/d))/b/sqrt(c)/sqrt(d)/(a*d+b*c)^2/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)+(A*b*d+B*b*c-C*a*c)*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(-b*c/a/d))/b/sqrt(c)/sqrt(d)/(a*d+b*c)/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),1],
[(C*x^4+B*x^2+A)/(a*c+(-a*d+b*c)*x^2-b*d*x^4)^(5/2),x,6,1/3*x*(A*(a^2*d^2+b^2*c^2)-a*c*(b*B*c-a*(B*d+2*C*c))-(A*b^2*c*d+a^2*c*C*d-a*b*(A*d^2+2*B*c*d+C*c^2))*x^2)/a/c/(a*d+b*c)^2/(a*c+(-a*d+b*c)*x^2-b*d*x^4)^(3/2)+1/3*x*(3*a*c*(-a*d+b*c)*(A*b^2*c*d+a^2*c*C*d-a*b*(A*d^2+2*B*c*d+C*c^2))+(a^2*d^2+b^2*c^2)*(2*A*(a^2*d^2+3*a*b*c*d+b^2*c^2)+a*c*(b*B*c-a*(B*d+2*C*c)))-b*d*(2*A*(-a^3*d^3-5*a^2*b*c*d^2+5*a*b^2*c^2*d+b^3*c^3)+a*c*(b^2*B*c^2+a^2*d*(B*d+8*C*c)-2*a*b*c*(7*B*d+4*C*c)))*x^2)/a^2/c^2/(a*d+b*c)^4/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)+1/3*sqrt(d)*(2*A*(-a^3*d^3-5*a^2*b*c*d^2+5*a*b^2*c^2*d+b^3*c^3)+a*c*(b^2*B*c^2+a^2*d*(B*d+8*C*c)-2*a*b*c*(7*B*d+4*C*c)))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(-b*c/a/d))/a/c^(3/2)/(a*d+b*c)^4/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4)-1/3*(A*b^2*c^2*d+a^2*d*(-2*A*d^2+B*c*d+5*C*c^2)-a*b*c*(9*A*d^2+7*B*c*d+3*C*c^2))*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(-b*c/a/d))/a/c^(3/2)/sqrt(d)/(a*d+b*c)^3/sqrt(a*c+(-a*d+b*c)*x^2-b*d*x^4),1],
[(c^2*d^2*x^4-a^2*e^2)/(a+(a*e^2+c*d^2)*x^2/d/e+c*x^4)^(3/2),x,4,a*e^(3/2)*(a*e^2+c*d^2)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c*d^2/a/e^2))/sqrt(d)/(-a*e^2+c*d^2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4)-2*a*c*d^(3/2)*e^(3/2)*sqrt(d*(c*d*x^2+a*e)/a/e/(e*x^2+d))*(e*x^2+d)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c*d^2/a/e^2))/(-a*e^2+c*d^2)/sqrt(a+(c*d/e+a*e/d)*x^2+c*x^4),1],
[(-25*x^4-65*x^2-34)/(x^4+3*x^2+2)^(3/2),x,4,2*x/sqrt(x^4+3*x^2+2)+4*sqrt(2)*(x^2+1)*sqrt((x^2+2)/(x^2+1))*EllipticE(sin(arctan(x)),sqrt(1/2))/sqrt(x^4+3*x^2+2)-27*(x^2+1)*sqrt((x^2+2)/(x^2+1))*InverseJacobiAM(arctan(x),sqrt(1/2))/sqrt(2)/sqrt(x^4+3*x^2+2),1],
[(-c*e*x^2-b*e+c*d)^2/((b*d*e-c*d^2)/e^2+b*x^2+c*x^4)^(3/2),x,1,-e^(3/2)*(-b*e+c*d)*(e*x^2+d)*sqrt(d*(1-c*e*x^2/(-b*e+c*d))/(e*x^2+d))*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt((-b*e+2*c*d)/(-b*e+c*d)))/d^(3/2)/sqrt(-d*(-b*e+c*d)/e^2+b*x^2+c*x^4),1],
[(b*x^4+c*x^2+a)^p,x,3,x*(b*x^4+c*x^2+a)^p*AppellF1(1/2,-p,-p,3/2,-2*b*x^2/(c-sqrt(-4*a*b+c^2)),-2*b*x^2/(c+sqrt(-4*a*b+c^2)))/((1+2*b*x^2/(c-sqrt(-4*a*b+c^2)))^p)/((1+2*b*x^2/(c+sqrt(-4*a*b+c^2)))^p),1],
[(B*x^2+A)*(b*x^4+c*x^2+a)^p,x,7,A*x*(b*x^4+c*x^2+a)^p*AppellF1(1/2,-p,-p,3/2,-2*b*x^2/(c-sqrt(-4*a*b+c^2)),-2*b*x^2/(c+sqrt(-4*a*b+c^2)))/((1+2*b*x^2/(c-sqrt(-4*a*b+c^2)))^p)/((1+2*b*x^2/(c+sqrt(-4*a*b+c^2)))^p)+1/3*B*x^3*(b*x^4+c*x^2+a)^p*AppellF1(3/2,-p,-p,5/2,-2*b*x^2/(c-sqrt(-4*a*b+c^2)),-2*b*x^2/(c+sqrt(-4*a*b+c^2)))/((1+2*b*x^2/(c-sqrt(-4*a*b+c^2)))^p)/((1+2*b*x^2/(c+sqrt(-4*a*b+c^2)))^p),1],
[(b*x^4+c*x^2+a)^p*(C*x^4+B*x^2+A),x,8,C*x*(b*x^4+c*x^2+a)^(p+1)/b/(5+4*p)-(a*C-A*b*(5+4*p))*x*(b*x^4+c*x^2+a)^p*AppellF1(1/2,-p,-p,3/2,-2*b*x^2/(c-sqrt(-4*a*b+c^2)),-2*b*x^2/(c+sqrt(-4*a*b+c^2)))/b/(5+4*p)/((1+2*b*x^2/(c-sqrt(-4*a*b+c^2)))^p)/((1+2*b*x^2/(c+sqrt(-4*a*b+c^2)))^p)-1/3*(c*C*(3+2*p)-b*B*(5+4*p))*x^3*(b*x^4+c*x^2+a)^p*AppellF1(3/2,-p,-p,5/2,-2*b*x^2/(c-sqrt(-4*a*b+c^2)),-2*b*x^2/(c+sqrt(-4*a*b+c^2)))/b/(5+4*p)/((1+2*b*x^2/(c-sqrt(-4*a*b+c^2)))^p)/((1+2*b*x^2/(c+sqrt(-4*a*b+c^2)))^p),1],
[(b*x^4+c*x^2+a)^p*(D*x^6+C*x^4+B*x^2+A),x,9,-(c*D*(5+2*p)-b*C*(7+4*p))*x*(b*x^4+c*x^2+a)^(p+1)/b^2/(5+4*p)/(7+4*p)+D*x^3*(b*x^4+c*x^2+a)^(p+1)/b/(7+4*p)+(A*b^2*(16*p^2+48*p+35)+a*(c*D*(5+2*p)-b*C*(7+4*p)))*x*(b*x^4+c*x^2+a)^p*AppellF1(1/2,-p,-p,3/2,-2*b*x^2/(c-sqrt(-4*a*b+c^2)),-2*b*x^2/(c+sqrt(-4*a*b+c^2)))/b^2/(5+4*p)/(7+4*p)/((1+2*b*x^2/(c-sqrt(-4*a*b+c^2)))^p)/((1+2*b*x^2/(c+sqrt(-4*a*b+c^2)))^p)+1/3*(c^2*D*(4*p^2+16*p+15)+b^2*B*(16*p^2+48*p+35)-b*(3*a*D*(5+4*p)+c*C*(8*p^2+26*p+21)))*x^3*(b*x^4+c*x^2+a)^p*AppellF1(3/2,-p,-p,5/2,-2*b*x^2/(c-sqrt(-4*a*b+c^2)),-2*b*x^2/(c+sqrt(-4*a*b+c^2)))/b^2/(5+4*p)/(7+4*p)/((1+2*b*x^2/(c-sqrt(-4*a*b+c^2)))^p)/((1+2*b*x^2/(c+sqrt(-4*a*b+c^2)))^p),1],
[(b*x^2+2*a)/(c*x^4+b*x^2+a)^(5/4),x,1,2*x/(c*x^4+b*x^2+a)^(1/4),1],
[(c*x^4+b*x^2+a)^p*(a*d+b*d*(3+2*p)*x^2+c*d*(5+4*p)*x^4),x,1,d*x*(c*x^4+b*x^2+a)^(p+1),1],
[(c*x^4+b*x^2+a)^p*(3*a^2*d+3*a^2*e*x^2+(a*b*e*(5+2*p)+3*a*c*d*(5+4*p)-b^2*d*(4*p^2+16*p+15))*x^4+c*(7+4*p)*(a*e-b*d*(3+2*p))*x^6),x,1,x*(3*a*d+(a*e-b*d*(3+2*p))*x^2)*(c*x^4+b*x^2+a)^(p+1),1],
[(f*x^2+e*x+d)/(x^4-5*x^2+4),x,9,-1/6*(d+4*f)*arctanh(1/2*x)+1/3*(d+f)*arctanh(x)-1/6*e*ln(-x^2+1)+1/6*e*ln(-x^2+4),1],
[(f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,9,e/(-18*x^2+18)+e/(-18*x^2+72)+x*(17*d+20*f-(5*d+8*f)*x^2)/(72*x^4-360*x^2+288)+1/432*(19*d+52*f)*arctanh(1/2*x)-1/54*(d+7*f)*arctanh(x)+1/27*e*ln(-x^2+1)-1/27*e*ln(-x^2+4),1],
[(f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x,10,1/108*e/(-x^2+1)^2-e/(-54*x^2+54)-1/108*e/(-x^2+4)^2-e/(-54*x^2+216)+1/144*x*(17*d+20*f-(5*d+8*f)*x^2)/(x^4-5*x^2+4)^2-x*(59*d+380*f-35*(d+4*f)*x^2)/(3456*x^4-17280*x^2+13824)-1/20736*(313*d+820*f)*arctanh(1/2*x)+1/648*(13*d+25*f)*arctanh(x)-1/81*e*ln(-x^2+1)+1/81*e*ln(-x^2+4),1],
[(f*x^2+e*x+d)/(x^4+x^2+1),x,8,-1/2*(d+2*e+f)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*(d-2*e+f)*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/2*(d-f)*arctanh(x/(x^2+1)),1],
[(f*x^2+e*x+d)/(x^4+x^2+1)^2,x,15,e*(2*x^2+1)/(6*x^4+6*x^2+6)+x*(d+f-(d-2*f)*x^2)/(6*x^4+6*x^2+6)-1/12*(4*d+f)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/12*(4*d+f)*arctan((1+2*x)/sqrt(3))/sqrt(3)+2/3*e*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/4*(2*d-f)*arctanh(x/(x^2+1)),1],
[(f*x^2+e*x+d)/(x^4+x^2+1)^3,x,17,1/12*e*(2*x^2+1)/(x^4+x^2+1)^2+1/12*x*(d+f-(d-2*f)*x^2)/(x^4+x^2+1)^2+e*(2*x^2+1)/(6*x^4+6*x^2+6)+x*(2*d+3*f-7*(d-f)*x^2)/(24*x^4+24*x^2+24)-1/48*(13*d+2*f)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/48*(13*d+2*f)*arctan((1+2*x)/sqrt(3))/sqrt(3)+2/3*e*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/16*(9*d-4*f)*arctanh(x/(x^2+1)),1],
[(f*x^2+e*x+d)*(c*x^4+b*x^2+a)^2,x,2,a^2*d*x+1/2*a^2*e*x^2+1/3*a*(a*f+2*b*d)*x^3+1/2*a*b*e*x^4+1/5*(2*a*b*f+2*a*c*d+b^2*d)*x^5+1/6*(2*a*c+b^2)*e*x^6+1/7*(2*a*c*f+b^2*f+2*b*c*d)*x^7+1/4*b*c*e*x^8+1/9*c*(2*b*f+c*d)*x^9+1/10*c^2*e*x^10+1/11*c^2*f*x^11,1],
[(f*x^2+e*x+d)*(c*x^4+b*x^2+a),x,2,a*d*x+1/2*a*e*x^2+1/3*(a*f+b*d)*x^3+1/4*b*e*x^4+1/5*(b*f+c*d)*x^5+1/6*c*e*x^6+1/7*c*f*x^7,1],
[(f*x^2+e*x+d)/(c*x^4+b*x^2+a),x,8,(f+(-b*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)/sqrt(c)/sqrt(b-sqrt(-4*a*c+b^2))+(f-(-b*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)/sqrt(c)/sqrt(b+sqrt(-4*a*c+b^2))-e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x,10,-1/2*e*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*x*(b^2*d-2*a*c*d-a*b*f+c*(-2*a*f+b*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(b*d-2*a*f+(4*a*b*f-12*a*c*d+b^2*d)/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)*(b*d-2*a*f-(4*a*b*f-12*a*c*d+b^2*d)/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*c*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x,12,-1/4*e*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/4*x*(b^2*d-2*a*c*d-a*b*f+c*(-2*a*f+b*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+3/2*c*e*(2*c*x^2+b)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*x*(3*b^4*d-25*a*b^2*c*d+28*a^2*c^2*d+a*b^3*f+8*a^2*b*c*f+c*(20*a^2*c*f+a*b^2*f-24*a*b*c*d+3*b^3*d)*x^2)/a^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*sqrt(c)*(3*b^4*d+b^3*(3*sqrt(-4*a*c+b^2)*d+a*f)-4*a*b*c*(6*sqrt(-4*a*c+b^2)*d+13*a*f)-a*b^2*(30*c*d-sqrt(-4*a*c+b^2)*f)+4*a^2*c*(42*c*d+5*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)^(5/2)/sqrt(b-sqrt(-4*a*c+b^2))+1/8*sqrt(c)*(3*b^3*d-24*a*b*c*d+a*b^2*f+20*a^2*c*f-(-52*a^2*b*c*f+168*a^2*c^2*d+a*b^3*f-30*a*b^2*c*d+3*b^4*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)^2/sqrt(b+sqrt(-4*a*c+b^2))-6*c^2*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(c*x^2+b*x+a)/(f*x^4+e*x^2+d),x,8,(c-(-2*a*f+c*e)/sqrt(-4*d*f+e^2))*arctan(sqrt(2)*sqrt(f)*x/sqrt(e-sqrt(-4*d*f+e^2)))/sqrt(2)/sqrt(f)/sqrt(e-sqrt(-4*d*f+e^2))+(c+(-2*a*f+c*e)/sqrt(-4*d*f+e^2))*arctan(sqrt(2)*sqrt(f)*x/sqrt(e+sqrt(-4*d*f+e^2)))/sqrt(2)/sqrt(f)/sqrt(e+sqrt(-4*d*f+e^2))-b*arctanh((2*f*x^2+e)/sqrt(-4*d*f+e^2))/sqrt(-4*d*f+e^2),1],
[(e*x+d)^2/(c*x^4+b*x^2+a),x,8,(e^2+(-b*e^2+2*c*d^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)/sqrt(b-sqrt(-4*a*c+b^2))+(e^2-(-b*e^2+2*c*d^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)/sqrt(b+sqrt(-4*a*c+b^2))-2*d*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(x^2+1)/(x^4-x^2+1),x,5,-arctan(sqrt(3)-2*x)+arctan(sqrt(3)+2*x),1],
[(5*x^2+8*x+5)/(x^4-x^2+1),x,5,-1/3*(15+8*sqrt(3))*arctan(sqrt(3)-2*x)+1/3*(15-8*sqrt(3))*arctan(sqrt(3)+2*x),1],
[(2*x^2+4*x+3)/(x^4-x^2+1),x,8,-1/6*(15+8*sqrt(3))*arctan(sqrt(3)-2*x)+1/6*(15-8*sqrt(3))*arctan(sqrt(3)+2*x)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,10,h*x+1/2*i*x^2-1/6*(d+4*f+16*h)*arctanh(1/2*x)+1/3*(d+f+h)*arctanh(x)-1/6*(e+g+i)*ln(-x^2+1)+1/6*(e+4*g+16*i)*ln(-x^2+4),1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,11,x*(17*d+20*f+32*h-(5*d+8*f+20*h)*x^2)/(72*x^4-360*x^2+288)+(5*e+8*g+20*i-(2*e+5*g+17*i)*x^2)/(18*x^4-90*x^2+72)+1/432*(19*d+52*f+112*h)*arctanh(1/2*x)-1/54*(d+7*f+13*h)*arctanh(x)+1/54*(2*e+5*g+8*i)*ln(-x^2+1)-1/54*(2*e+5*g+8*i)*ln(-x^2+4),1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x,11,-1/108*(2*e+5*g+11*i)/(-x^2+1)-(2*e+5*g+11*i)/(-108*x^2+432)+1/144*x*(17*d+20*f+32*h-(5*d+8*f+20*h)*x^2)/(x^4-5*x^2+4)^2+1/36*(5*e+8*g+20*i-(2*e+5*g+17*i)*x^2)/(x^4-5*x^2+4)^2-x*(59*d+380*f+848*h-5*(7*d+28*f+64*h)*x^2)/(3456*x^4-17280*x^2+13824)-1/20736*(313*d+820*f+1936*h)*arctanh(1/2*x)+1/648*(13*d+25*f+61*h)*arctanh(x)-1/162*(2*e+5*g+11*i)*ln(-x^2+1)+1/162*(2*e+5*g+11*i)*ln(-x^2+4),1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1),x,17,h*x+1/2*i*x^2-1/2*(d+f-2*h)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*(d+f-2*h)*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/2*(2*e-g-i)*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/2*(d-f)*arctanh(x/(x^2+1))+1/4*(g-i)*ln(x^4+x^2+1),1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^2,x,15,x*(d+f-2*h-(d-2*f+h)*x^2)/(6*x^4+6*x^2+6)+(e-2*g+i+(2*e-g-i)*x^2)/(6*x^4+6*x^2+6)-1/12*(4*d+f+h)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/12*(4*d+f+h)*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/3*(2*e-g+2*i)*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/4*(2*d-f+h)*arctanh(x/(x^2+1)),1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^3,x,17,1/12*x*(d+f-2*h-(d-2*f+h)*x^2)/(x^4+x^2+1)^2+1/12*(e-2*g+i+(2*e-g-i)*x^2)/(x^4+x^2+1)^2+(2*e-g+i)*(2*x^2+1)/(12*x^4+12*x^2+12)+x*(2*d+3*f-h-(7*d-7*f+4*h)*x^2)/(24*x^4+24*x^2+24)-1/48*(13*d+2*f+h)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/48*(13*d+2*f+h)*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/3*(2*e-g+i)*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/16*(9*d-4*f+3*h)*arctanh(x/(x^2+1)),1],
[(c*x^4+b*x^2+a)^2*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d),x,2,a^2*d*x+1/2*a^2*e*x^2+1/3*a*(a*f+2*b*d)*x^3+1/4*a*(a*g+2*b*e)*x^4+1/5*(b^2*d+2*a*b*f+a*(a*h+2*c*d))*x^5+1/6*(b^2*e+2*a*b*g+a*(a*i+2*c*e))*x^6+1/7*(b^2*f+2*a*c*f+2*b*(a*h+c*d))*x^7+1/8*(b^2*g+2*a*c*g+2*b*(a*i+c*e))*x^8+1/9*(c^2*d+b^2*h+2*c*(a*h+b*f))*x^9+1/10*(c^2*e+b^2*i+2*c*(a*i+b*g))*x^10+1/11*c*(2*b*h+c*f)*x^11+1/12*c*(2*b*i+c*g)*x^12+1/13*c^2*h*x^13+1/14*c^2*i*x^14,1],
[(c*x^4+b*x^2+a)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d),x,2,a*d*x+1/2*a*e*x^2+1/3*(a*f+b*d)*x^3+1/4*(a*g+b*e)*x^4+1/5*(a*h+b*f+c*d)*x^5+1/6*(a*i+b*g+c*e)*x^6+1/7*(b*h+c*f)*x^7+1/8*(b*i+c*g)*x^8+1/9*c*h*x^9+1/10*c*i*x^10,1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x,12,h*x/c+1/2*i*x^2/c+(c*f-b*h+(2*c^2*d+b^2*h-c*(2*a*h+b*f))/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*f-b*h-(-2*a*c*h+b^2*h-b*c*f+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))-1/2*(-2*a*c*i+b^2*i-b*c*g+2*c^2*e)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)+1/4*(-b*i+c*g)*ln(c*x^4+b*x^2+a)/c^2,1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x,10,1/2*x*(b^2*d-a*b*f-2*a*(-a*h+c*d)+(a*b*h-2*a*c*f+b*c*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(2*a*c*g-b*(a*i+c*e)-(-2*a*c*i+b^2*i-b*c*g+2*c^2*e)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b*c*d-2*a*c*f+a*b*h+(4*a*b*c*f+b^2*(-a*h+c*d)-4*a*c*(a*h+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*f+a*b*h-(4*a*b*c*f+b^2*(-a*h+c*d)-4*a*c*(a*h+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))+(2*a*i-b*g+2*c*e)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x,12,1/4*x*(b^2*d-a*b*f-2*a*(-a*h+c*d)+(a*b*h-2*a*c*f+b*c*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/4*(2*a*c*g-b*(a*i+c*e)-(-2*a*c*i+b^2*i-b*c*g+2*c^2*e)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/4*(2*a*c*i+b^2*i-3*b*c*g+6*c^2*e)*(2*c*x^2+b)/c/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*x*(3*b^4*d+a*b^3*f+8*a^2*b*c*f+4*a^2*c*(a*h+7*c*d)-a*b^2*(7*a*h+25*c*d)+c*(3*b^3*d+a*b^2*f+20*a^2*c*f-12*a*b*(a*h+2*c*d))*x^2)/a^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*sqrt(c)*(3*b^3*d+a*b^2*f+20*a^2*c*f-12*a*b*(a*h+2*c*d)+(3*b^4*d+a*b^3*f-52*a^2*b*c*f-6*a*b^2*(-3*a*h+5*c*d)+24*a^2*c*(a*h+7*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)^2/sqrt(b-sqrt(-4*a*c+b^2))+1/8*sqrt(c)*(3*b^3*d+a*b^2*f+20*a^2*c*f-12*a*b*(a*h+2*c*d)-(3*b^4*d+a*b^3*f-52*a^2*b*c*f-6*a*b^2*(-3*a*h+5*c*d)+24*a^2*c*(a*h+7*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)^2/sqrt(b+sqrt(-4*a*c+b^2))-(2*a*c*i+b^2*i-3*b*c*g+6*c^2*e)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x,12,(c^2*h+b^2*m-c*(a*m+b*k))*x/c^3+1/2*(-b*l+c*j)*x^2/c^2+1/3*(-b*m+c*k)*x^3/c^2+1/4*l*x^4/c+1/5*m*x^5/c+(c^3*f-c^2*(a*k+b*h)-b^3*m+b*c*(2*a*m+b*k)+(2*c^4*d-c^3*(2*a*h+b*f)+b^4*m-b^2*c*(4*a*m+b*k)+c^2*(2*a^2*m+3*a*b*k+b^2*h))/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))+(c^3*f-c^2*(a*k+b*h)-b^3*m+b*c*(2*a*m+b*k)-(2*c^4*d-c^3*(2*a*h+b*f)+b^4*m-b^2*c*(4*a*m+b*k)+c^2*(2*a^2*m+3*a*b*k+b^2*h))/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))-1/2*(2*c^3*e-c^2*(2*a*j+b*g)-b^3*l+b*c*(3*a*l+b*j))*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/4*(c^2*g+b^2*l-c*(a*l+b*j))*ln(c*x^4+b*x^2+a)/c^3,1],
[(m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x,14,m*x/c^2-1/2*(b*c*(a*j+c*e)-a*b^2*l-2*a*c*(-a*l+c*g)+(2*c^3*e-c^2*(2*a*j+b*g)-b^3*l+b*c*(3*a*l+b*j))*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*x*(a*b*c*(a*k+c*f)-b^2*(a^2*m+c^2*d)+2*a*c*(a^2*m-a*c*h+c^2*d)+(a*b^2*c*k+2*a*c^2*(-a*k+c*f)-a*b^3*m-b*c*(-3*a^2*m+a*c*h+c^2*d))*x^2)/a/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(a*b^2*c*k-2*a*c^2*(3*a*k+c*f)-3*a*b^3*m+b*c*(13*a^2*m+a*c*h+c^2*d)-(a*b^3*c*k-4*a*b*c^2*(2*a*k+c*f)-3*a*b^4*m-b^2*c*(-19*a^2*m-a*c*h+c^2*d)+4*a*c^2*(-5*a^2*m+a*c*h+3*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)/a/c^(5/2)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*(a*b^2*c*k-2*a*c^2*(3*a*k+c*f)-3*a*b^3*m+b*c*(13*a^2*m+a*c*h+c^2*d)+(a*b^3*c*k-4*a*b*c^2*(2*a*k+c*f)-3*a*b^4*m-b^2*c*(-19*a^2*m-a*c*h+c^2*d)+4*a*c^2*(-5*a^2*m+a*c*h+3*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)/a/c^(5/2)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2))+1/2*(4*c^3*e-c^2*(-4*a*j+2*b*g)+b^3*l-6*a*b*c*l)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/4*l*ln(c*x^4+b*x^2+a)/c^2,1],
[(m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x,12,-1/4*(b*c*(a*j+c*e)-a*b^2*l-2*a*c*(-a*l+c*g)+(2*c^3*e-c^2*(2*a*j+b*g)-b^3*l+b*c*(3*a*l+b*j))*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-1/4*x*(a*b*c*(a*k+c*f)-b^2*(a^2*m+c^2*d)+2*a*c*(a^2*m-a*c*h+c^2*d)+(a*b^2*c*k+2*a*c^2*(-a*k+c*f)-a*b^3*m-b*c*(-3*a^2*m+a*c*h+c^2*d))*x^2)/a/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/4*(b^3*j/c+2*b*(a*j+3*c*e)-16*a^2*l-b^4*l/c^2-b^2*(3*g-5*a*l/c)+2*(-3*a*b*l+2*a*c*j+b^2*j-3*b*c*g+6*c^2*e)*x^2)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*x*(4*a^2*b*c^2*(a*k+2*c*f)+a*b^3*c*(2*a*k+c*f)-a*b^2*c*(-11*a^2*m+7*a*c*h+25*c^2*d)+4*a^2*c^2*(-9*a^2*m+a*c*h+7*c^2*d)+b^4*(-2*a^2*m+3*c^2*d)+c*(a*b^2*c*(3*a*k+c*f)+4*a^2*c^2*(3*a*k+5*c*f)+b^3*(a^2*m+3*c^2*d)-4*a*b*c*(4*a^2*m+3*a*c*h+6*c^2*d))*x^2)/a^2/c^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*(a*b^2*c*(3*a*k+c*f)+4*a^2*c^2*(3*a*k+5*c*f)+b^3*(a^2*m+3*c^2*d)-4*a*b*c*(4*a^2*m+3*a*c*h+6*c^2*d)+(a*b^3*c*(-3*a*k+c*f)-4*a^2*b*c^2*(9*a*k+13*c*f)-6*a*b^2*c*(-3*a^2*m-3*a*c*h+5*c^2*d)+b^4*(-a^2*m+3*c^2*d)+8*a^2*c^2*(5*a^2*m+3*a*c*h+21*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)/a^2/c^(3/2)/(-4*a*c+b^2)^2/sqrt(b-sqrt(-4*a*c+b^2))+1/8*(a*b^2*c*(3*a*k+c*f)+4*a^2*c^2*(3*a*k+5*c*f)+b^3*(a^2*m+3*c^2*d)-4*a*b*c*(4*a^2*m+3*a*c*h+6*c^2*d)-(a*b^3*c*(-3*a*k+c*f)-4*a^2*b*c^2*(9*a*k+13*c*f)-6*a*b^2*c*(-3*a^2*m-3*a*c*h+5*c^2*d)+b^4*(-a^2*m+3*c^2*d)+8*a^2*c^2*(5*a^2*m+3*a*c*h+21*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)/a^2/c^(3/2)/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2))-(-3*a*b*l+2*a*c*j+b^2*j-3*b*c*g+6*c^2*e)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(k*x^7+j*x^6+i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x,12,1/2*x*(b^2*c*d-2*a*c*(-a*h+c*d)-a*b*(a*j+c*f)+(b*c*(a*h+c*d)-a*b^2*j-2*a*c*(-a*j+c*f))*x^2)/a/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(b*c*(a*i+c*e)-a*b^2*k-2*a*c*(-a*k+c*g)+(2*c^3*e-c^2*(2*a*i+b*g)-b^3*k+b*c*(3*a*k+b*i))*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b*(a*h+c*d)+a*b^2*j/c-2*a*(3*a*j+c*f)+(b^2*c*(-a*h+c*d)-4*a*c^2*(a*h+3*c*d)-a*b^3*j+4*a*b*c*(2*a*j+c*f))/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*h+c*d)+a*b^2*j/c-2*a*(3*a*j+c*f)-(b^2*c*(-a*h+c*d)-4*a*c^2*(a*h+3*c*d)-a*b^3*j+4*a*b*c*(2*a*j+c*f))/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*(4*c^3*e-c^2*(-4*a*i+2*b*g)+b^3*k-6*a*b*c*k)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/4*k*ln(c*x^4+b*x^2+a)/c^2,1],
[(k*x^11+j*x^8+i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x,14,-1/4*x*(c^2*(a*b*f-b^2*(d+a^2*j/c^2)+2*a*(c*d-a*h+a^2*j/c))+(2*a*c^3*f-a*b^3*j-b*c*(-3*a^2*j+a*c*h+c^2*d))*x^2)/a/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2-1/4*(b*c^3*(a*i+c*e)-a*b^4*k+4*a^2*b^2*c*k-2*a^3*c^2*k-2*a*c^4*g+(2*c^5*e+b^2*c^3*i-c^4*(2*a*i+b*g)-b^5*k+5*a*b^3*c*k-5*a^2*b*c^2*k)*x^2)/c^4/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/8*x*(c*(a*b^3*f+8*a^2*b*c*f+4*a^2*(-9*a^2*j+a*c*h+7*c^2*d)+b^4*(3*d-2*a^2*j/c^2)-a*b^2*(25*c*d+7*a*h-11*a^2*j/c))+(a*b^2*c^2*f+20*a^2*c^3*f+b^3*(a^2*j+3*c^2*d)-4*a*b*c*(4*a^2*j+3*a*c*h+6*c^2*d))*x^2)/a^2/c/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/4*(b^3*c^2*i+2*b*c^3*(a*i+3*c*e)+11*a*b^4*k-b^6*k/c+32*a^3*c^2*k-3*b^2*(13*a^2*c*k+c^3*g)+2*(6*c^5*e+b^2*c^3*i-c^4*(-2*a*i+3*b*g)+2*b^5*k-15*a*b^3*c*k+25*a^2*b*c^2*k)*x^2)/c^3/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*(a*b^2*c^2*f+20*a^2*c^3*f+b^3*(a^2*j+3*c^2*d)-4*a*b*c*(4*a^2*j+3*a*c*h+6*c^2*d)+(a*b^3*c^2*f-52*a^2*b*c^3*f-6*a*b^2*c*(-3*a^2*j-3*a*c*h+5*c^2*d)+b^4*(-a^2*j+3*c^2*d)+8*a^2*c^2*(5*a^2*j+3*a*c*h+21*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)/a^2/c^(3/2)/(-4*a*c+b^2)^2/sqrt(b-sqrt(-4*a*c+b^2))+1/8*(a*b^2*c^2*f+20*a^2*c^3*f+b^3*(a^2*j+3*c^2*d)-4*a*b*c*(4*a^2*j+3*a*c*h+6*c^2*d)-(a*b^3*c^2*f-52*a^2*b*c^3*f-6*a*b^2*c*(-3*a^2*j-3*a*c*h+5*c^2*d)+b^4*(-a^2*j+3*c^2*d)+8*a^2*c^2*(5*a^2*j+3*a*c*h+21*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)/a^2/c^(3/2)/(-4*a*c+b^2)^2/sqrt(b+sqrt(-4*a*c+b^2))-1/2*(12*c^5*e+2*b^2*c^3*i-c^4*(-4*a*i+6*b*g)-b^5*k+10*a*b^3*c*k-30*a^2*b*c^2*k)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(5/2)+1/4*k*ln(c*x^4+b*x^2+a)/c^3,1],
[(c*x^4+b*x^2+a)^3*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x,3,a^4*d*x+1/2*a^4*e*x^2+1/3*a^3*(a*f+4*b*d)*x^3+a^3*b*e*x^4+2/5*a^2*(2*a*b*f+2*a*c*d+3*b^2*d)*x^5+1/3*a^2*(2*a*c+3*b^2)*e*x^6+2/7*a*(2*a^2*c*f+3*a*b^2*f+6*a*b*c*d+2*b^3*d)*x^7+1/2*a*b*(3*a*c+b^2)*e*x^8+1/9*(12*a^2*b*c*f+6*a^2*c^2*d+4*a*b^3*f+12*a*b^2*c*d+b^4*d)*x^9+1/10*(6*a^2*c^2+12*a*b^2*c+b^4)*e*x^10+1/11*(6*a^2*c^2*f+12*a*b^2*c*f+12*a*b*c^2*d+b^4*f+4*b^3*c*d)*x^11+1/3*b*c*(3*a*c+b^2)*e*x^12+2/13*c*(6*a*b*c*f+2*a*c^2*d+2*b^3*f+3*b^2*c*d)*x^13+1/7*c^2*(2*a*c+3*b^2)*e*x^14+2/15*c^2*(2*a*c*f+3*b^2*f+2*b*c*d)*x^15+1/4*b*c^3*e*x^16+1/17*c^3*(4*b*f+c*d)*x^17+1/18*c^4*e*x^18+1/19*c^4*f*x^19,1],
[(c*x^4+b*x^2+a)^2*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x,3,a^3*d*x+1/2*a^3*e*x^2+1/3*a^2*(a*f+3*b*d)*x^3+3/4*a^2*b*e*x^4+3/5*a*(a*b*f+a*c*d+b^2*d)*x^5+1/2*a*(a*c+b^2)*e*x^6+1/7*(3*a^2*c*f+3*a*b^2*f+6*a*b*c*d+b^3*d)*x^7+1/8*b*(6*a*c+b^2)*e*x^8+1/9*(6*a*b*c*f+3*a*c^2*d+b^3*f+3*b^2*c*d)*x^9+3/10*c*(a*c+b^2)*e*x^10+3/11*c*(a*c*f+b^2*f+b*c*d)*x^11+1/4*b*c^2*e*x^12+1/13*c^2*(3*b*f+c*d)*x^13+1/14*c^3*e*x^14+1/15*c^3*f*x^15,1],
[(c*x^4+b*x^2+a)*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x,3,a^2*d*x+1/2*a^2*e*x^2+1/3*a*(a*f+2*b*d)*x^3+1/2*a*b*e*x^4+1/5*(2*a*b*f+2*a*c*d+b^2*d)*x^5+1/6*(2*a*c+b^2)*e*x^6+1/7*(2*a*c*f+b^2*f+2*b*c*d)*x^7+1/4*b*c*e*x^8+1/9*c*(2*b*f+c*d)*x^9+1/10*c^2*e*x^10+1/11*c^2*f*x^11,1],
[(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a),x,2,d*x+1/2*e*x^2+1/3*f*x^3,1],
[(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^2,x,9,(f+(-b*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)/sqrt(c)/sqrt(b-sqrt(-4*a*c+b^2))+(f-(-b*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)/sqrt(c)/sqrt(b+sqrt(-4*a*c+b^2))-e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^3,x,11,-1/2*e*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*x*(b^2*d-2*a*c*d-a*b*f+c*(-2*a*f+b*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(b*d-2*a*f+(4*a*b*f-12*a*c*d+b^2*d)/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)*(b*d-2*a*f-(4*a*b*f-12*a*c*d+b^2*d)/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*c*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^4,x,13,-1/4*e*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+1/4*x*(b^2*d-2*a*c*d-a*b*f+c*(-2*a*f+b*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^2+3/2*c*e*(2*c*x^2+b)/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*x*(3*b^4*d-25*a*b^2*c*d+28*a^2*c^2*d+a*b^3*f+8*a^2*b*c*f+c*(20*a^2*c*f+a*b^2*f-24*a*b*c*d+3*b^3*d)*x^2)/a^2/(-4*a*c+b^2)^2/(c*x^4+b*x^2+a)+1/8*sqrt(c)*(3*b^4*d+b^3*(3*sqrt(-4*a*c+b^2)*d+a*f)-4*a*b*c*(6*sqrt(-4*a*c+b^2)*d+13*a*f)-a*b^2*(30*c*d-sqrt(-4*a*c+b^2)*f)+4*a^2*c*(42*c*d+5*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)^(5/2)/sqrt(b-sqrt(-4*a*c+b^2))+1/8*sqrt(c)*(3*b^3*d-24*a*b*c*d+a*b^2*f+20*a^2*c*f-(-52*a^2*b*c*f+168*a^2*c^2*d+a*b^3*f-30*a*b^2*c*d+3*b^4*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)^2/sqrt(b+sqrt(-4*a*c+b^2))-6*c^2*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(x^3-2*x^2-x+2)/(x^4-5*x^2+4),x,2,ln(2+x),1],
[(e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4),x,3,e*x+(d-2*e)*ln(2+x),1],
[(f*x^2+e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4),x,3,(e-4*f)*x+1/2*f*(2+x)^2+(d-2*e+4*f)*ln(2+x),1],
[(x^3-2*x^2-x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,3,(e-2*f+4*g)*x+1/2*(f-2*g)*x^2+1/3*g*x^3+(d-2*e+4*f-8*g)*ln(2+x),1],
[(x^3-2*x^2-x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,3,(e-2*f+4*g-8*h)*x+1/2*(f-2*g+4*h)*x^2+1/3*(g-2*h)*x^3+1/4*h*x^4+(d-2*e+4*f-8*g+16*h)*ln(2+x),1],
[(x^3-2*x^2-x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,3,(e-2*f+4*g-8*h+16*i)*x+1/2*(f-2*g+4*h-8*i)*x^2+1/3*(g-2*h+4*i)*x^3+1/4*(h-2*i)*x^4+1/5*i*x^5+(d-2*e+4*f-8*g+16*h-32*i)*ln(2+x),1],
[(x^2-3*x+2)/(x^4-5*x^2+4),x,4,ln(1+x)-ln(2+x),1],
[(e*x+d)*(x^2-3*x+2)/(x^4-5*x^2+4),x,3,(d-e)*ln(1+x)-(d-2*e)*ln(2+x),1],
[(x^2-3*x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4),x,5,f*x+(d-e+f)*ln(1+x)-(d-2*e+4*f)*ln(2+x),1],
[(x^2-3*x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,5,(f-3*g)*x+1/2*g*x^2+(d-e+f-g)*ln(1+x)-(d-2*e+4*f-8*g)*ln(2+x),1],
[(x^2-3*x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,5,(f-3*g+7*h)*x+1/2*(g-3*h)*x^2+1/3*h*x^3+(d-e+f-g+h)*ln(1+x)-(d-2*e+4*f-8*g+16*h)*ln(2+x),1],
[(x^2-3*x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,5,(f-3*g+7*h-15*i)*x+1/2*(g-3*h+7*i)*x^2+1/3*(h-3*i)*x^3+1/4*i*x^4+(d-e+f-g+h-i)*ln(1+x)-(d-2*e+4*f-8*g+16*h-32*i)*ln(2+x),1],
[(2+x)/(x^4-5*x^2+4),x,4,-1/2*ln(1-x)+1/3*ln(2-x)+1/6*ln(1+x),1],
[(2+x)*(e*x+d)/(x^4-5*x^2+4),x,4,-1/2*(d+e)*ln(1-x)+1/3*(d+2*e)*ln(2-x)+1/6*(d-e)*ln(1+x),1],
[(2+x)*(f*x^2+e*x+d)/(x^4-5*x^2+4),x,4,-1/2*(d+e+f)*ln(1-x)+1/3*(d+2*e+4*f)*ln(2-x)+1/6*(d-e+f)*ln(1+x),1],
[(2+x)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,4,g*x-1/2*(d+e+f+g)*ln(1-x)+1/3*(d+2*e+4*f+8*g)*ln(2-x)+1/6*(d-e+f-g)*ln(1+x),1],
[(2+x)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,4,(g+2*h)*x+1/2*h*x^2-1/2*(d+e+f+g+h)*ln(1-x)+1/3*(d+2*e+4*f+8*g+16*h)*ln(2-x)+1/6*(d-e+f-g+h)*ln(1+x),1],
[(2+x)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x,4,(g+2*h+5*i)*x+1/2*(h+2*i)*x^2+1/3*i*x^3-1/2*(d+e+f+g+h+i)*ln(1-x)+1/3*(d+2*e+4*f+8*g+16*h+32*i)*ln(2-x)+1/6*(d-e+f-g+h-i)*ln(1+x),1],
[(x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x,3,1/(24+12*x)-1/18*ln(1-x)+1/48*ln(2-x)+1/6*ln(1+x)-19/144*ln(2+x),1],
[(e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x,3,(d-2*e)/(24+12*x)-1/18*(d+e)*ln(1-x)+1/48*(d+2*e)*ln(2-x)+1/6*(d-e)*ln(1+x)-1/144*(19*d-26*e)*ln(2+x),1],
[(f*x^2+e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x,3,(d-2*e+4*f)/(24+12*x)-1/18*(d+e+f)*ln(1-x)+1/48*(d+2*e+4*f)*ln(2-x)+1/6*(d-e+f)*ln(1+x)-1/144*(19*d-26*e+28*f)*ln(2+x),1],
[(x^3-2*x^2-x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,3,(d-2*e+4*f-8*g)/(24+12*x)-1/18*(d+e+f+g)*ln(1-x)+1/48*(d+2*e+4*f+8*g)*ln(2-x)+1/6*(d-e+f-g)*ln(1+x)-1/144*(19*d-26*e+28*f-8*g)*ln(2+x),1],
[(x^3-2*x^2-x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,3,(d-2*e+4*f-8*g+16*h)/(24+12*x)-1/18*(d+e+f+g+h)*ln(1-x)+1/48*(d+2*e+4*f+8*g+16*h)*ln(2-x)+1/6*(d-e+f-g+h)*ln(1+x)-1/144*(19*d-26*e+28*f-8*g-80*h)*ln(2+x),1],
[(x^3-2*x^2-x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,5,i*x+(d-2*e+4*f-8*g+16*h-32*i)/(24+12*x)-1/18*(d+e+f+g+h+i)*ln(1-x)+1/48*(d+2*e+4*f+8*g+16*h+32*i)*ln(2-x)+1/6*(d-e+f-g+h-i)*ln(1+x)-1/144*(19*d-26*e+28*f-8*g-80*h+352*i)*ln(2+x),1],
[(x^2-3*x+2)/(x^4-5*x^2+4)^2,x,3,-1/6/(1+x)-1/(24+12*x)-1/36*ln(1-x)+1/144*ln(2-x)-7/36*ln(1+x)+31/144*ln(2+x),1],
[(e*x+d)*(x^2-3*x+2)/(x^4-5*x^2+4)^2,x,4,-1/12*(5*d-6*e+(3*d-4*e)*x)/(x^2+3*x+2)-1/36*(d+e)*ln(1-x)+1/144*(d+2*e)*ln(2-x)-1/36*(7*d-13*e)*ln(1+x)+1/144*(31*d-50*e)*ln(2+x),1],
[(x^2-3*x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,4,-1/12*(5*d-6*e+8*f+(3*d-4*e+6*f)*x)/(x^2+3*x+2)-1/36*(d+e+f)*ln(1-x)+1/144*(d+2*e+4*f)*ln(2-x)-1/36*(7*d-13*e+19*f)*ln(1+x)+1/144*(31*d-50*e+76*f)*ln(2+x),1],
[(x^2-3*x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,4,-1/12*(5*d-6*e+8*f-12*g+(3*d-4*e+6*f-10*g)*x)/(x^2+3*x+2)-1/36*(d+e+f+g)*ln(1-x)+1/144*(d+2*e+4*f+8*g)*ln(2-x)-1/36*(7*d-13*e+19*f-25*g)*ln(1+x)+1/144*(31*d-50*e+76*f-104*g)*ln(2+x),1],
[(x^2-3*x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,4,-1/12*(5*d-6*e+8*f-12*g+20*h+(3*d-4*e+6*f-10*g+18*h)*x)/(x^2+3*x+2)-1/36*(d+e+f+g+h)*ln(1-x)+1/144*(d+2*e+4*f+8*g+16*h)*ln(2-x)-1/36*(7*d-13*e+19*f-25*g+31*h)*ln(1+x)+1/144*(31*d-50*e+76*f-104*g+112*h)*ln(2+x),1],
[(x^2-3*x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,4,-1/12*(5*d-6*e+8*f-12*g+20*h-36*i+(3*d-4*e+6*f-10*g+18*h-34*i)*x)/(x^2+3*x+2)-1/36*(d+e+f+g+h+i)*ln(1-x)+1/144*(d+2*e+4*f+8*g+16*h+32*i)*ln(2-x)-1/36*(7*d-13*e+19*f-25*g+31*h-37*i)*ln(1+x)+1/144*(31*d-50*e+76*f-104*g+112*h-32*i)*ln(2+x),1],
[(2+x)/(x^4-5*x^2+4)^2,x,3,1/(12-12*x)+1/(72-36*x)-1/(36+36*x)+1/18*ln(1-x)-35/432*ln(2-x)+1/54*ln(1+x)+1/144*ln(2+x),1],
[(2+x)*(e*x+d)/(x^4-5*x^2+4)^2,x,3,(d+e)/(12-12*x)+(d+2*e)/(72-36*x)-(d-e)/(36+36*x)+1/36*(2*d+5*e)*ln(1-x)-1/432*(35*d+58*e)*ln(2-x)+1/108*(2*d+e)*ln(1+x)+1/144*(d-2*e)*ln(2+x),1],
[(2+x)*(f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,3,(d+e+f)/(12-12*x)+(d+2*e+4*f)/(72-36*x)-(d-e+f)/(36+36*x)+1/36*(2*d+5*e+8*f)*ln(1-x)-1/432*(35*d+58*e+92*f)*ln(2-x)+1/108*(2*d+e-4*f)*ln(1+x)+1/144*(d-2*e+4*f)*ln(2+x),1],
[(2+x)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,3,(d+e+f+g)/(12-12*x)+(d+2*e+4*f+8*g)/(72-36*x)-(d-e+f-g)/(36+36*x)+1/36*(2*d+5*e+8*f+11*g)*ln(1-x)-1/432*(35*d+58*e+92*f+136*g)*ln(2-x)+1/108*(2*d+e-4*f+7*g)*ln(1+x)+1/144*(d-2*e+4*f-8*g)*ln(2+x),1],
[(2+x)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,3,(d+e+f+g+h)/(12-12*x)+(d+2*e+4*f+8*g+16*h)/(72-36*x)-(d-e+f-g+h)/(36+36*x)+1/36*(2*d+5*e+8*f+11*g+14*h)*ln(1-x)-1/432*(35*d+58*e+92*f+136*g+176*h)*ln(2-x)+1/108*(2*d+e-4*f+7*g-10*h)*ln(1+x)+1/144*(d-2*e+4*f-8*g+16*h)*ln(2+x),1],
[(2+x)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x,3,(d+e+f+g+h+i)/(12-12*x)+(d+2*e+4*f+8*g+16*h+32*i)/(72-36*x)-(d-e+f-g+h-i)/(36+36*x)+1/36*(2*d+5*e+8*f+11*g+14*h+17*i)*ln(1-x)-1/432*(35*d+58*e+92*f+136*g+176*h+160*i)*ln(2-x)+1/108*(2*d+e-4*f+7*g-10*h+13*i)*ln(1+x)+1/144*(d-2*e+4*f-8*g+16*h-32*i)*ln(2+x),1],
[(g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a)^(3/2),x,14,-1/315*(-84*a^2*c^2*f+57*a*b^2*c*f-144*a*b*c^2*d-8*b^4*f+18*b^3*c*d)*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)-3/256*(-4*a*c+b^2)*(-b*g+2*c*e)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^3+1/315*x*(9*b^2*c*d+90*a*c^2*d-4*b^3*f+9*a*b*c*f+3*c*(14*a*c*f-4*b^2*f+9*b*c*d)*x^2)*sqrt(c*x^4+b*x^2+a)/c^2+1/32*(-b*g+2*c*e)*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c^2+1/63*x*(7*c*f*x^2+3*b*f+9*c*d)*(c*x^4+b*x^2+a)^(3/2)/c+1/10*g*(c*x^4+b*x^2+a)^(5/2)/c+3/512*(-4*a*c+b^2)^2*(-b*g+2*c*e)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(7/2)+1/315*a^(1/4)*(-84*a^2*c^2*f+57*a*b^2*c*f-144*a*b*c^2*d-8*b^4*f+18*b^3*c*d)*(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))*(18*b^2*c*d-27*sqrt(a)*b*c^(3/2)*d-90*a*c^2*d-8*b^3*f+12*sqrt(a)*b^2*sqrt(c)*f+33*a*b*c*f-42*a^(3/2)*c^(3/2)*f)*(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],
[(g*x^3+f*x^2+e*x+d)*sqrt(c*x^4+b*x^2+a),x,12,1/15*(6*a*c*f-2*b^2*f+5*b*c*d)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+1/16*(-b*g+2*c*e)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^2+1/15*x*(3*c*f*x^2+b*f+5*c*d)*sqrt(c*x^4+b*x^2+a)/c+1/6*g*(c*x^4+b*x^2+a)^(3/2)/c-1/32*(-4*a*c+b^2)*(-b*g+2*c*e)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2)-1/15*a^(1/4)*(6*a*c*f-2*b^2*f+5*b*c*d)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)+1/30*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(5*c*d-2*b*f+3*sqrt(a)*sqrt(c)*f)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[(g*x^3+f*x^2+e*x+d)/sqrt(c*x^4+b*x^2+a),x,10,1/2*g*sqrt(c*x^4+b*x^2+a)/c+f*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+1/4*(-b*g+2*c*e)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2)-a^(1/4)*f*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/2*(sqrt(c)*d+sqrt(a)*f)*(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^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(3/2),x,9,x*(b^2*d-2*a*c*d-a*b*f+c*(-2*a*f+b*d)*x^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-(b*e-2*a*g+(-b*g+2*c*e)*x^2)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-sqrt(c)*(-2*a*f+b*d)*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+c^(1/4)*(-2*a*f+b*d)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*(sqrt(c)*d-sqrt(a)*f)*(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^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[(g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(5/2),x,11,1/3*x*(b^2*d-2*a*c*d-a*b*f+c*(-2*a*f+b*d)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)-1/3*(b*e-2*a*g+(-b*g+2*c*e)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)^(3/2)+4/3*(-b*g+2*c*e)*(2*c*x^2+b)/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)+1/3*x*(2*b^4*d-17*a*b^2*c*d+20*a^2*c^2*d+a*b^3*f+4*a^2*b*c*f+c*(12*a^2*c*f+a*b^2*f-16*a*b*c*d+2*b^3*d)*x^2)/a^2/(-4*a*c+b^2)^2/sqrt(c*x^4+b*x^2+a)-1/3*sqrt(c)*(12*a^2*c*f+a*b^2*f-16*a*b*c*d+2*b^3*d)*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)*(12*a^2*c*f+a*b^2*f-16*a*b*c*d+2*b^3*d)*(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*c^(1/4)*(2*b^2*d-3*sqrt(a)*b*sqrt(c)*d-10*a*c*d+a*b*f+6*a^(3/2)*sqrt(c)*f)*(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))/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[(-c*g*x^4+a*g)/(c*x^4+b*x^2+a)^(3/2),x,1,g*x/sqrt(c*x^4+b*x^2+a),1],
[(-c*g*x^4+a*g+e*x)/(c*x^4+b*x^2+a)^(3/2),x,5,g*x/sqrt(c*x^4+b*x^2+a)-e*(2*c*x^2+b)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[(-c*g*x^4+f*x^3+a*g)/(c*x^4+b*x^2+a)^(3/2),x,5,g*x/sqrt(c*x^4+b*x^2+a)+f*(b*x^2+2*a)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1],
[(-c*g*x^4+f*x^3+a*g+e*x)/(c*x^4+b*x^2+a)^(3/2),x,5,g*x/sqrt(c*x^4+b*x^2+a)-(b*e-2*a*f+(-b*f+2*c*e)*x^2)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a),1]]: