lst:=[[x^4*(B*x^2+A)*sqrt(-c*x^4+a)/(d*x^2+c),x,13,1/21*(-7*A*c^2*d-2*B*a*d^2+7*B*c^3)*x*sqrt(-c*x^4+a)/c/d^3-1/5*(-A*d+B*c)*x^3*sqrt(-c*x^4+a)/d^2+1/7*B*x^5*sqrt(-c*x^4+a)/d+1/5*a^(3/4)*(-A*d+B*c)*(-2*a*d^2+5*c^3)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(3/4)/d^4/sqrt(-c*x^4+a)-1/105*a^(1/4)*(21*sqrt(a)*sqrt(c)*d*(-A*d+B*c)*(-2*a*d^2+5*c^3)-35*A*c^2*d*(-2*a*d^2+3*c^3)+5*B*(-2*a^2*d^4-14*a*c^3*d^2+21*c^6))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(5/4)/d^5/sqrt(-c*x^4+a)+a^(1/4)*c^(3/4)*(-A*d+B*c)*(-a*d^2+c^3)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/d^5/sqrt(-c*x^4+a),1],
[x^2*(B*x^2+A)*sqrt(-c*x^4+a)/(d*x^2+c),x,11,-1/3*(-A*d+B*c)*x*sqrt(-c*x^4+a)/d^2+1/5*B*x^3*sqrt(-c*x^4+a)/d-1/5*a^(3/4)*(-5*A*c^2*d-2*B*a*d^2+5*B*c^3)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(3/4)/d^3/sqrt(-c*x^4+a)+1/15*a^(1/4)*(5*sqrt(c)*(-A*d+B*c)*(-2*a*d^2+3*c^3)+3*sqrt(a)*d*(-5*A*c^2*d-2*B*a*d^2+5*B*c^3))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(3/4)/d^4/sqrt(-c*x^4+a)-a^(1/4)*(-A*d+B*c)*(-a*d^2+c^3)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(1/4)/d^4/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/(d*x^2+c),x,9,1/3*B*x*sqrt(-c*x^4+a)/d+a^(3/4)*c^(1/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/d^2/sqrt(-c*x^4+a)-1/3*a^(1/4)*(3*B*c^3-3*A*c^2*d-2*a*B*d^2+3*sqrt(a)*sqrt(c)*d*(-A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(1/4)/d^3/sqrt(-c*x^4+a)+a^(1/4)*(-A*d+B*c)*(-a*d^2+c^3)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(5/4)/d^3/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^2/(d*x^2+c),x,9,-A*sqrt(-c*x^4+a)/c/x-a^(3/4)*(A*d+B*c)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(3/4)/d/sqrt(-c*x^4+a)+a^(1/4)*(c^(3/2)*(-A*d+B*c)+sqrt(a)*d*(A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(3/4)/d^2/sqrt(-c*x^4+a)-a^(1/4)*(-A*d+B*c)*(-a*d^2+c^3)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(9/4)/d^2/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^4/(d*x^2+c),x,10,-1/3*A*sqrt(-c*x^4+a)/c/x^3-(-A*d+B*c)*sqrt(-c*x^4+a)/c^2/x-a^(3/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(7/4)/sqrt(-c*x^4+a)+1/3*a^(1/4)*(3*sqrt(a)*d*(-A*d+B*c)-c^(3/2)*(-A*d+3*B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(7/4)/d/sqrt(-c*x^4+a)+a^(1/4)*(-A*d+B*c)*(-a*d^2+c^3)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(13/4)/d/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^6/(d*x^2+c),x,11,-1/5*A*sqrt(-c*x^4+a)/c/x^5-1/3*(-A*d+B*c)*sqrt(-c*x^4+a)/c^2/x^3+1/5*(-5*A*a*d^2+2*A*c^3+5*B*a*c*d)*sqrt(-c*x^4+a)/a/c^3/x+1/5*(-5*A*a*d^2+2*A*c^3+5*B*a*c*d)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(1/4)/c^(11/4)/sqrt(-c*x^4+a)-1/15*(6*A*c^3-5*sqrt(a)*c^(3/2)*(-A*d+B*c)+15*a*d*(-A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(1/4)/c^(11/4)/sqrt(-c*x^4+a)-a^(1/4)*(-A*d+B*c)*(-a*d^2+c^3)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(17/4)/sqrt(-c*x^4+a),1],
[x^6*(B*x^2+A)/(d*x^2+c)/sqrt(-c*x^4+a),x,11,1/3*(-A*d+B*c)*x*sqrt(-c*x^4+a)/c/d^2-1/5*B*x^3*sqrt(-c*x^4+a)/c/d+1/5*a^(3/4)*(-5*A*c^2*d+3*B*a*d^2+5*B*c^3)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(7/4)/d^3/sqrt(-c*x^4+a)-1/15*a^(1/4)*(5*sqrt(c)*(-A*d+B*c)*(a*d^2+3*c^3)+3*sqrt(a)*d*(-5*A*c^2*d+3*B*a*d^2+5*B*c^3))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(7/4)/d^4/sqrt(-c*x^4+a)+a^(1/4)*c^(7/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/d^4/sqrt(-c*x^4+a),1],
[x^4*(B*x^2+A)/(d*x^2+c)/sqrt(-c*x^4+a),x,9,-1/3*B*x*sqrt(-c*x^4+a)/c/d-a^(3/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(3/4)/d^2/sqrt(-c*x^4+a)+1/3*a^(1/4)*(3*B*c^3-3*A*c^2*d+a*B*d^2+3*sqrt(a)*sqrt(c)*d*(-A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(5/4)/d^3/sqrt(-c*x^4+a)-a^(1/4)*c^(3/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/d^3/sqrt(-c*x^4+a),1],
[x^2*(B*x^2+A)/(d*x^2+c)/sqrt(-c*x^4+a),x,8,a^(3/4)*B*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(3/4)/d/sqrt(-c*x^4+a)+a^(1/4)*(A*d-B*(c+sqrt(a)*d/sqrt(c)))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(1/4)/d^2/sqrt(-c*x^4+a)+a^(1/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(1/4)/d^2/sqrt(-c*x^4+a),1],
[(B*x^2+A)/(d*x^2+c)/sqrt(-c*x^4+a),x,5,a^(1/4)*B*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(1/4)/d/sqrt(-c*x^4+a)-a^(1/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(5/4)/d/sqrt(-c*x^4+a),1],
[(B*x^2+A)/x^2/(d*x^2+c)/sqrt(-c*x^4+a),x,9,-A*sqrt(-c*x^4+a)/a/c/x-A*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(1/4)/c^(3/4)/sqrt(-c*x^4+a)+A*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(1/4)/c^(3/4)/sqrt(-c*x^4+a)+a^(1/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(9/4)/sqrt(-c*x^4+a),1],
[(B*x^2+A)/x^4/(d*x^2+c)/sqrt(-c*x^4+a),x,10,-1/3*A*sqrt(-c*x^4+a)/a/c/x^3-(-A*d+B*c)*sqrt(-c*x^4+a)/a/c^2/x-(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(1/4)/c^(7/4)/sqrt(-c*x^4+a)+1/3*(A*c^(3/2)+3*sqrt(a)*(-A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(3/4)/c^(7/4)/sqrt(-c*x^4+a)-a^(1/4)*d*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(13/4)/sqrt(-c*x^4+a),1],
[(B*x^2+A)/x^6/(d*x^2+c)/sqrt(-c*x^4+a),x,11,-1/5*A*sqrt(-c*x^4+a)/a/c/x^5-1/3*(-A*d+B*c)*sqrt(-c*x^4+a)/a/c^2/x^3-1/5*(5*A*a*d^2+3*A*c^3-5*B*a*c*d)*sqrt(-c*x^4+a)/a^2/c^3/x-1/5*(5*A*a*d^2+3*A*c^3-5*B*a*c*d)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(5/4)/c^(11/4)/sqrt(-c*x^4+a)+1/15*(9*A*c^3+5*sqrt(a)*c^(3/2)*(-A*d+B*c)-15*a*d*(-A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(5/4)/c^(11/4)/sqrt(-c*x^4+a)+a^(1/4)*d^2*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(17/4)/sqrt(-c*x^4+a),1],
[x^8*(B*x^2+A)/(d*x^2+c)/(-c*x^4+a)^(3/2),x,10,1/2*a*x*(A-a*B*d/c^2+(B-A*d/c)*x^2)/(-a*d^2+c^3)/sqrt(-c*x^4+a)+1/3*B*x*sqrt(-c*x^4+a)/c^2/d+1/2*a^(3/4)*(-A*d+B*c)*(-3*a*d^2+2*c^3)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(7/4)/d^2/(-a*d^2+c^3)/sqrt(-c*x^4+a)-1/6*a^(1/4)*(6*B*c^6-6*A*c^5*d+2*a*B*c^3*d^2+3*a*A*c^2*d^3-5*a^2*B*d^4+3*sqrt(a)*sqrt(c)*d*(-A*d+B*c)*(-3*a*d^2+2*c^3))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(9/4)/d^3/(-a*d^2+c^3)/sqrt(-c*x^4+a)+a^(1/4)*c^(11/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/d^3/(-a*d^2+c^3)/sqrt(-c*x^4+a),1],
[x^6*(B*x^2+A)/(d*x^2+c)/(-c*x^4+a)^(3/2),x,9,1/2*x*(a*(-A*d+B*c)+c^2*(A-a*B*d/c^2)*x^2)/c/(-a*d^2+c^3)/sqrt(-c*x^4+a)-1/2*a^(3/4)*(A*c^2*d-3*B*a*d^2+2*B*c^3)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(7/4)/d/(-a*d^2+c^3)/sqrt(-c*x^4+a)+1/2*a^(1/4)*(2*B*c^3+4*sqrt(a)*B*c^(3/2)*d-2*A*c^2*d+3*a*B*d^2-sqrt(a)*A*sqrt(c)*d^2)*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(7/4)/d^2/(c^(3/2)+sqrt(a)*d)/sqrt(-c*x^4+a)-a^(1/4)*c^(7/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/d^2/(-a*d^2+c^3)/sqrt(-c*x^4+a),1],
[x^4*(B*x^2+A)/(d*x^2+c)/(-c*x^4+a)^(3/2),x,9,1/2*x*(A*c-a*B*d/c+(-A*d+B*c)*x^2)/(-a*d^2+c^3)/sqrt(-c*x^4+a)-1/2*a^(3/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/c^(3/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a)-1/2*a^(1/4)*(2*B*c^(3/2)+sqrt(a)*B*d-A*sqrt(c)*d)*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/c^(5/4)/d/(c^(3/2)+sqrt(a)*d)/sqrt(-c*x^4+a)+a^(1/4)*c^(3/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/d/(-a*d^2+c^3)/sqrt(-c*x^4+a),1],
[x^2*(B*x^2+A)/(d*x^2+c)/(-c*x^4+a)^(3/2),x,9,1/2*x*(a*(-A*d+B*c)+(A*c^2-B*a*d)*x^2)/a/(-a*d^2+c^3)/sqrt(-c*x^4+a)-1/2*(A*c^2-B*a*d)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(1/4)/c^(3/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a)+1/2*(sqrt(a)*B+A*sqrt(c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(1/4)/c^(3/4)/(c^(3/2)+sqrt(a)*d)/sqrt(-c*x^4+a)-a^(1/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(1/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a),1],
[(B*x^2+A)/(d*x^2+c)/(-c*x^4+a)^(3/2),x,9,1/2*x*(A*c^2-a*B*d+c*(-A*d+B*c)*x^2)/a/(-a*d^2+c^3)/sqrt(-c*x^4+a)-1/2*c^(1/4)*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(1/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a)+1/2*(sqrt(a)*B+A*sqrt(c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(3/4)/c^(1/4)/(c^(3/2)+sqrt(a)*d)/sqrt(-c*x^4+a)+a^(1/4)*d*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(5/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a),1],
[(B*x^2+A)/x^2/(d*x^2+c)/(-c*x^4+a)^(3/2),x,10,1/2*(A*c^2-a*B*d+c*(-A*d+B*c)*x^2)/a/(-a*d^2+c^3)/x/sqrt(-c*x^4+a)-1/2*(-2*A*a*d^2+3*A*c^3-B*a*c*d)*sqrt(-c*x^4+a)/a^2/c/(-a*d^2+c^3)/x-1/2*(-2*A*a*d^2+3*A*c^3-B*a*c*d)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(5/4)/c^(3/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a)+1/2*(3*A*c^(3/2)+sqrt(a)*(2*A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(5/4)/c^(3/4)/(c^(3/2)+sqrt(a)*d)/sqrt(-c*x^4+a)-a^(1/4)*d^2*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(9/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a),1],
[(B*x^2+A)/x^4/(d*x^2+c)/(-c*x^4+a)^(3/2),x,11,1/2*(A*c^2-a*B*d+c*(-A*d+B*c)*x^2)/a/(-a*d^2+c^3)/x^3/sqrt(-c*x^4+a)-1/6*(-2*A*a*d^2+5*A*c^3-3*B*a*c*d)*sqrt(-c*x^4+a)/a^2/c/(-a*d^2+c^3)/x^3-1/2*(-A*d+B*c)*(-2*a*d^2+3*c^3)*sqrt(-c*x^4+a)/a^2/c^2/(-a*d^2+c^3)/x-1/2*(-A*d+B*c)*(-2*a*d^2+3*c^3)*sqrt(1-c*x^4/a)*EllipticE(sin(arcsin(c^(1/4)*x/a^(1/4))),sqrt(-1))/a^(5/4)/c^(7/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a)+1/6*(5*A*c^3+sqrt(a)*c^(3/2)*(-4*A*d+9*B*c)+6*a*d*(-A*d+B*c))*sqrt(1-c*x^4/a)*InverseJacobiAM(arcsin(c^(1/4)*x/a^(1/4)),sqrt(-1))/a^(7/4)/c^(7/4)/(c^(3/2)+sqrt(a)*d)/sqrt(-c*x^4+a)+a^(1/4)*d^3*(-A*d+B*c)*sqrt(1-c*x^4/a)*EllipticPi(sin(arcsin(c^(1/4)*x/a^(1/4))),-sqrt(a)*d/c^(3/2),sqrt(-1))/c^(13/4)/(-a*d^2+c^3)/sqrt(-c*x^4+a),1],
[x^5*(C*x^4+B*x^2+A)/(d*x^2+c)/sqrt(c*x^4+a),x,10,1/6*(3*A*c*d^2-3*B*c^2*d-2*C*a*d^2+3*C*c^3)*sqrt(c*x^4+a)/c^2/d^3-1/4*(-B*d+C*c)*x^2*sqrt(c*x^4+a)/c/d^2+1/6*C*x^4*sqrt(c*x^4+a)/c/d-1/4*(2*A*c^2*d^2+B*a*d^3-2*B*c^3*d-C*a*c*d^2+2*C*c^4)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/c^(3/2)/d^4-1/2*c^2*(A*d^2-B*c*d+C*c^2)*arctanh((-c^2*x^2+a*d)/sqrt(a*d^2+c^3)/sqrt(c*x^4+a))/d^4/sqrt(a*d^2+c^3),1],
[x^3*(C*x^4+B*x^2+A)/(d*x^2+c)/sqrt(c*x^4+a),x,8,-1/2*(-B*d+C*c)*sqrt(c*x^4+a)/c/d^2+1/4*C*x^2*sqrt(c*x^4+a)/c/d+1/4*(2*A*c*d^2-2*B*c^2*d-C*a*d^2+2*C*c^3)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/c^(3/2)/d^3+1/2*c*(A*d^2-B*c*d+C*c^2)*arctanh((-c^2*x^2+a*d)/sqrt(a*d^2+c^3)/sqrt(c*x^4+a))/d^3/sqrt(a*d^2+c^3),1],
[x*(C*x^4+B*x^2+A)/(d*x^2+c)/sqrt(c*x^4+a),x,7,1/2*C*sqrt(c*x^4+a)/c/d-1/2*(-B*d+C*c)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)/d^2-1/2*(A*d^2-B*c*d+C*c^2)*arctanh((-c^2*x^2+a*d)/sqrt(a*d^2+c^3)/sqrt(c*x^4+a))/d^2/sqrt(a*d^2+c^3),1],
[(C*x^4+B*x^2+A)/x/(d*x^2+c)/sqrt(c*x^4+a),x,10,1/2*C*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)/d+1/2*(A*d^2-B*c*d+C*c^2)*arctanh((-c^2*x^2+a*d)/sqrt(a*d^2+c^3)/sqrt(c*x^4+a))/c/d/sqrt(a*d^2+c^3)-1/2*A*arctanh(sqrt(c*x^4+a)/sqrt(a))/sqrt(a)/c,1],
[(C*x^4+B*x^2+A)/x^3/(d*x^2+c)/sqrt(c*x^4+a),x,9,-1/2*A*sqrt(c*x^4+a)/a/c/x^2-1/2*(A*d^2-B*c*d+C*c^2)*arctanh((-c^2*x^2+a*d)/sqrt(a*d^2+c^3)/sqrt(c*x^4+a))/c^2/sqrt(a*d^2+c^3)-1/2*(-A*d+B*c)*arctanh(sqrt(c*x^4+a)/sqrt(a))/sqrt(a)/c^2,1],
[(C*x^4+B*x^2+A)/x^5/(d*x^2+c)/sqrt(c*x^4+a),x,10,-1/4*A*sqrt(c*x^4+a)/a/c/x^4-1/2*(-A*d+B*c)*sqrt(c*x^4+a)/a/c^2/x^2+1/2*d*(A*d^2-B*c*d+C*c^2)*arctanh((-c^2*x^2+a*d)/sqrt(a*d^2+c^3)/sqrt(c*x^4+a))/c^3/sqrt(a*d^2+c^3)-1/4*(2*a*c*(-B*d+C*c)-A*(-2*a*d^2+c^3))*arctanh(sqrt(c*x^4+a)/sqrt(a))/a^(3/2)/c^3,1],
[(C*x^4+B*x^2+A)/x^7/(d*x^2+c)/sqrt(c*x^4+a),x,11,-1/6*A*sqrt(c*x^4+a)/a/c/x^6-1/4*(-A*d+B*c)*sqrt(c*x^4+a)/a/c^2/x^4-1/6*(3*a*c*(-B*d+C*c)-A*(-3*a*d^2+2*c^3))*sqrt(c*x^4+a)/a^2/c^3/x^2-1/2*d^2*(A*d^2-B*c*d+C*c^2)*arctanh((-c^2*x^2+a*d)/sqrt(a*d^2+c^3)/sqrt(c*x^4+a))/c^4/sqrt(a*d^2+c^3)+1/4*(2*A*a*d^3-A*c^3*d-2*B*a*c*d^2+B*c^4+2*C*a*c^2*d)*arctanh(sqrt(c*x^4+a)/sqrt(a))/a^(3/2)/c^4,1],
[x^4*(C*x^4+B*x^2+A)/(d*x^2+c)/sqrt(c*x^4+a),x,10,-1/3*(-B*d+C*c)*x*sqrt(c*x^4+a)/c/d^2+1/5*C*x^3*sqrt(c*x^4+a)/c/d+1/5*(5*A*c*d^2-5*B*c^2*d-3*C*a*d^2+5*C*c^3)*x*sqrt(c*x^4+a)/c^(3/2)/d^3/(sqrt(a)+sqrt(c)*x^2)+1/2*c^(3/2)*(A*d^2-B*c*d+C*c^2)*arctan(sqrt(a*d^2+c^3)*x/sqrt(c)/sqrt(d)/sqrt(c*x^4+a))/d^(7/2)/sqrt(a*d^2+c^3)-1/5*a^(1/4)*(5*A*c*d^2-5*B*c^2*d-3*C*a*d^2+5*C*c^3)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(7/4)/d^3/sqrt(c*x^4+a)+1/30*a^(1/4)*(30*c^(9/2)*C-30*B*c^(7/2)*d-10*sqrt(a)*c^3*C*d+10*sqrt(a)*B*c^2*d^2+30*A*c^(5/2)*d^2-14*a*c^(3/2)*C*d^2+5*a*B*sqrt(c)*d^3-15*sqrt(a)*A*c*d^3+9*a^(3/2)*C*d^3)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(7/4)/d^3/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a)-1/4*c^(3/4)*(c^(3/2)+sqrt(a)*d)*(A*d^2-B*c*d+C*c^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*(c^(3/2)-sqrt(a)*d)^2/sqrt(a)/c^(3/2)/d,sqrt(1/2))/a^(1/4)/d^4/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a),1],
[x^2*(C*x^4+B*x^2+A)/(d*x^2+c)/sqrt(c*x^4+a),x,8,1/3*C*x*sqrt(c*x^4+a)/c/d-(-B*d+C*c)*x*sqrt(c*x^4+a)/sqrt(c)/d^2/(sqrt(a)+sqrt(c)*x^2)-1/2*sqrt(c)*(A*d^2-B*c*d+C*c^2)*arctan(sqrt(a*d^2+c^3)*x/sqrt(c)/sqrt(d)/sqrt(c*x^4+a))/d^(5/2)/sqrt(a*d^2+c^3)+a^(1/4)*(-B*d+C*c)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/d^2/sqrt(c*x^4+a)-1/6*a^(1/4)*(6*c^3*C-6*B*c^2*d-2*sqrt(a)*c^(3/2)*C*d+3*sqrt(a)*B*sqrt(c)*d^2+3*A*c*d^2-a*C*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(5/4)/d^2/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a)+1/4*(c^(3/2)+sqrt(a)*d)*(A*d^2-B*c*d+C*c^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*(c^(3/2)-sqrt(a)*d)^2/sqrt(a)/c^(3/2)/d,sqrt(1/2))/a^(1/4)/c^(1/4)/d^3/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a),1],
[(C*x^4+B*x^2+A)/(d*x^2+c)/sqrt(c*x^4+a),x,7,C*x*sqrt(c*x^4+a)/sqrt(c)/d/(sqrt(a)+sqrt(c)*x^2)+1/2*(A*d^2-B*c*d+C*c^2)*arctan(sqrt(a*d^2+c^3)*x/sqrt(c)/sqrt(d)/sqrt(c*x^4+a))/sqrt(c)/d^(3/2)/sqrt(a*d^2+c^3)-a^(1/4)*C*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/d/sqrt(c*x^4+a)+1/2*(A*c*d-a*C*d+sqrt(a)*sqrt(c)*(-B*d+2*C*c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/c^(3/4)/d/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a)-1/4*(c^(3/2)+sqrt(a)*d)*(A*d^2-B*c*d+C*c^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*(c^(3/2)-sqrt(a)*d)^2/sqrt(a)/c^(3/2)/d,sqrt(1/2))/a^(1/4)/c^(5/4)/d^2/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^2/(d*x^2+c)/sqrt(c*x^4+a),x,8,-A*sqrt(c*x^4+a)/a/c/x+A*x*sqrt(c*x^4+a)/a/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)-1/2*(A*d^2-B*c*d+C*c^2)*arctan(sqrt(a*d^2+c^3)*x/sqrt(c)/sqrt(d)/sqrt(c*x^4+a))/c^(3/2)/sqrt(d)/sqrt(a*d^2+c^3)-A*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/c^(3/4)/sqrt(c*x^4+a)+1/2*(A*c^(3/2)-a*sqrt(c)*C+sqrt(a)*(-2*A*d+B*c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(3/4)/c^(3/4)/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a)+1/4*(c^(3/2)+sqrt(a)*d)*(A*d^2-B*c*d+C*c^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*(c^(3/2)-sqrt(a)*d)^2/sqrt(a)/c^(3/2)/d,sqrt(1/2))/a^(1/4)/c^(9/4)/d/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^4/(d*x^2+c)/sqrt(c*x^4+a),x,9,-1/3*A*sqrt(c*x^4+a)/a/c/x^3-(-A*d+B*c)*sqrt(c*x^4+a)/a/c^2/x+(-A*d+B*c)*x*sqrt(c*x^4+a)/a/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+1/2*sqrt(d)*(A*d^2-B*c*d+C*c^2)*arctan(sqrt(a*d^2+c^3)*x/sqrt(c)/sqrt(d)/sqrt(c*x^4+a))/c^(5/2)/sqrt(a*d^2+c^3)-(-A*d+B*c)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/c^(7/4)/sqrt(c*x^4+a)-1/6*(A*c^3-sqrt(a)*c^(3/2)*(-2*A*d+3*B*c)-3*a*(2*A*d^2-2*B*c*d+C*c^2))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/c^(7/4)/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a)-1/4*(c^(3/2)+sqrt(a)*d)*(A*d^2-B*c*d+C*c^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*(c^(3/2)-sqrt(a)*d)^2/sqrt(a)/c^(3/2)/d,sqrt(1/2))/a^(1/4)/c^(13/4)/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^6/(d*x^2+c)/sqrt(c*x^4+a),x,10,-1/5*A*sqrt(c*x^4+a)/a/c/x^5-1/3*(-A*d+B*c)*sqrt(c*x^4+a)/a/c^2/x^3-1/5*(5*a*c*(-B*d+C*c)-A*(-5*a*d^2+3*c^3))*sqrt(c*x^4+a)/a^2/c^3/x+1/5*(5*a*c*(-B*d+C*c)-A*(-5*a*d^2+3*c^3))*x*sqrt(c*x^4+a)/a^2/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)-1/2*d^(3/2)*(A*d^2-B*c*d+C*c^2)*arctan(sqrt(a*d^2+c^3)*x/sqrt(c)/sqrt(d)/sqrt(c*x^4+a))/c^(7/2)/sqrt(a*d^2+c^3)-1/5*(5*a*c*(-B*d+C*c)-A*(-5*a*d^2+3*c^3))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(7/4)/c^(11/4)/sqrt(c*x^4+a)-1/30*(9*A*c^(9/2)+sqrt(a)*c^3*(-14*A*d+5*B*c)+30*a^(3/2)*d*(A*d^2-B*c*d+C*c^2)-5*a*c^(3/2)*(2*A*d^2-2*B*c*d+3*C*c^2))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(7/4)/c^(11/4)/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a)+1/4*d*(c^(3/2)+sqrt(a)*d)*(A*d^2-B*c*d+C*c^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*(c^(3/2)-sqrt(a)*d)^2/sqrt(a)/c^(3/2)/d,sqrt(1/2))/a^(1/4)/c^(17/4)/(c^(3/2)-sqrt(a)*d)/sqrt(c*x^4+a),1],
[x^4*(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a),x,16,1/3840*(50*A*c*d*e*(-4*a*e^2+3*c*d^2)-B*(256*a^2*e^4-92*a*c*d^2*e^2+105*c^2*d^4))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c^2/e^4/x+1/1920*(-120*A*a*e^3-50*A*c*d^2*e-28*B*a*d*e^2+35*B*c*d^3)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^3-1/480*(-10*A*c*d*e+16*B*a*e^2+7*B*c*d^2)*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2+1/80*(10*A*e+B*d)*x^5*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e+1/10*B*x^7*sqrt(e*x^2+d)*sqrt(-c*x^4+a)+1/3840*(d+sqrt(a)*e/sqrt(c))*(50*A*c*d*e*(-4*a*e^2+3*c*d^2)-B*(256*a^2*e^4-92*a*c*d^2*e^2+105*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/3840*sqrt(a)*(10*A*c*d*e*(-44*a*e^2+5*c*d^2)-B*(256*a^2*e^4-36*a*c*d^2*e^2+35*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/256*(2*A*e*(16*a^2*e^4-8*a*c*d^2*e^2+5*c^2*d^4)-B*(-16*a^2*d*e^4-8*a*c*d^3*e^2+7*c^2*d^5))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^2*(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a),x,14,1/384*(-64*A*a*e^3-24*A*c*d^2*e-20*B*a*d*e^2+15*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^3/x-1/192*(-8*A*c*d*e+12*B*a*e^2+5*B*c*d^2)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2+1/48*(8*A*e+B*d)*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e+1/8*B*x^5*sqrt(e*x^2+d)*sqrt(-c*x^4+a)-1/384*(d+sqrt(a)*e/sqrt(c))*(8*A*e*(8*a*e^2+3*c*d^2)-5*B*(-4*a*d*e^2+3*c*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/384*sqrt(a)*(-64*A*a*e^3-8*A*c*d^2*e-44*B*a*d*e^2+5*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/128*(8*A*c*d*e*(-4*a*e^2+c*d^2)-B*(16*a^2*e^4-8*a*c*d^2*e^2+5*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a),x,11,-1/48*(-6*A*c*d*e+8*B*a*e^2+3*B*c*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2/x+1/24*(6*A*e+B*d)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e+1/6*B*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)-1/48*(d+sqrt(a)*e/sqrt(c))*(-6*A*c*d*e+8*B*a*e^2+3*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/48*sqrt(a)*(30*A*c*d*e+8*B*a*e^2+B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/16*(-8*A*a*e^3-2*A*c*d^2*e-4*B*a*d*e^2+B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^2,x,10,1/8*(4*A*e+B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e/x+1/4*B*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)+1/8*c*(12*A*e+B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/8*sqrt(a)*sqrt(c)*(-4*A*e+5*B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/8*(-4*A*c*d*e+4*B*a*e^2+B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^4,x,10,-1/3*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^3+1/2*B*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x+1/6*c*(2*A*e+9*B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/6*sqrt(c)*(2*A*a*e^2+4*A*c*d^2+3*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/2*c*(2*A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^6,x,10,-1/5*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^5-1/15*(A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^3-1/15*c*(d+sqrt(a)*e/sqrt(c))*(2*A*a*e^2+6*A*c*d^2-5*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/15*sqrt(c)*(-2*A*a*e^3+2*A*c*d^2*e+5*B*a*d*e^2+10*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-B*c*e*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^8,x,8,-1/7*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^7-1/35*(A*e+7*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^5+1/105*(4*A*a*e^2+10*A*c*d^2-7*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^3-2/105*c*(d+sqrt(a)*e/sqrt(c))*(-4*A*a*e^3+8*A*c*d^2*e+7*B*a*d*e^2+21*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/105*sqrt(c)*(-a*e^2+c*d^2)*(-4*A*a*e^2+5*A*c*d^2+7*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^10,x,9,-1/9*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^9-1/63*(A*e+9*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^7+1/315*(6*A*a*e^2+14*A*c*d^2-9*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^5+2/315*(-4*A*a*e^3+4*A*c*d^2*e+6*B*a*d*e^2+15*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^3/x^3-2/315*c*(d+sqrt(a)*e/sqrt(c))*(12*a*B*d*e*(-a*e^2+2*c*d^2)+A*(8*a^2*e^4-9*a*c*d^2*e^2+21*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/315*sqrt(c)*(-a*e^2+c*d^2)*(8*A*a*e^3-3*A*c*d^2*e-12*B*a*d*e^2+15*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^12,x,10,-1/11*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^11-1/99*(A*e+11*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^9+1/693*(8*A*a*e^2+18*A*c*d^2-11*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^7+2/3465*(-24*A*a*e^3+16*A*c*d^2*e+33*B*a*d*e^2+77*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^3/x^5+2/3465*(44*a*B*d*e*(-a*e^2+c*d^2)+A*(32*a^2*e^4-23*a*c*d^2*e^2+75*c^2*d^4))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^4/x^3-2/3465*c*(d+sqrt(a)*e/sqrt(c))*(2*A*e*(-32*a^2*e^4+27*a*c*d^2*e^2+39*c^2*d^4)+11*B*(8*a^2*d*e^4-9*a*c*d^3*e^2+21*c^2*d^5))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+2/3465*sqrt(c)*(-a*e^2+c*d^2)*(11*a*B*d*e*(-8*a*e^2+3*c*d^2)-A*(-64*a^2*e^4+6*a*c*d^2*e^2+75*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^2*(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a),x,16,-1/3840*(30*A*c*d*e*(28*a*e^2+3*c*d^2)-B*(-256*a^2*e^4-108*a*c*d^2*e^2+45*c^2*d^4))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c^2/e^3/x-1/1920*(120*A*a*e^3-30*A*c*d^2*e+148*B*a*d*e^2+15*B*c*d^3)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2+1/480*(90*A*c*d*e-16*B*a*e^2+3*B*c*d^2)*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e+1/80*(10*A*e+11*B*d)*x^5*sqrt(e*x^2+d)*sqrt(-c*x^4+a)+1/10*B*e*x^7*sqrt(e*x^2+d)*sqrt(-c*x^4+a)-1/3840*(sqrt(c)*d+sqrt(a)*e)*(30*A*c*d*e*(28*a*e^2+3*c*d^2)-B*(-256*a^2*e^4-108*a*c*d^2*e^2+45*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/3840*sqrt(a)*(30*A*c*d*e*(36*a*e^2+c*d^2)-B*(-256*a^2*e^4-404*a*c*d^2*e^2+15*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/256*(B*(48*a^2*d*e^4-8*a*c*d^3*e^2+3*c^2*d^5)-A*(-32*a^2*e^5-48*a*c*d^2*e^3+6*c^2*d^4*e))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a),x,12,-1/384*(64*A*a*e^3-24*A*c*d^2*e+84*B*a*d*e^2+9*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2/x+1/192*(56*A*c*d*e-12*B*a*e^2+3*B*c*d^2)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e+1/48*(8*A*e+9*B*d)*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)+1/8*B*e*x^5*sqrt(e*x^2+d)*sqrt(-c*x^4+a)-1/384*(d+sqrt(a)*e/sqrt(c))*(64*A*a*e^3-24*A*c*d^2*e+84*B*a*d*e^2+9*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/384*sqrt(a)*(64*A*a*e^3+248*A*c*d^2*e+108*B*a*d*e^2+3*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/128*(8*A*c*d*e*(12*a*e^2+c*d^2)-B*(-16*a^2*e^4-24*a*c*d^2*e^2+3*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a)/x^2,x,11,1/48*(30*A*c*d*e-8*B*a*e^2+3*B*c*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e/x+1/24*(6*A*e+7*B*d)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)+1/6*B*e*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)+1/48*(d+sqrt(a)*e/sqrt(c))*(78*A*c*d*e-8*B*a*e^2+3*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/48*sqrt(a)*(6*A*c*d*e+8*B*a*e^2+31*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/16*(8*A*a*e^3-6*A*c*d^2*e+12*B*a*d*e^2+B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a)/x^4,x,11,-1/3*A*d*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^3+1/8*(4*A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x+1/4*B*e*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)+1/24*c*(44*A*e+39*B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/24*sqrt(c)*(20*A*a*e^2+16*A*c*d^2-3*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/8*(12*A*c*d*e-4*B*a*e^2+3*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a)/x^6,x,11,-1/5*A*d*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^5-1/15*(6*A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^3+1/2*B*e*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x-1/30*c*(d+sqrt(a)*e/sqrt(c))*(-6*A*a*e^2+12*A*c*d^2-55*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/30*sqrt(c)*(6*A*a*e^3+24*A*c*d^2*e+25*B*a*d*e^2+20*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/2*c*e*(2*A*e+3*B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a)/x^8,x,11,-1/7*A*d*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^7-1/35*(8*A*e+7*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^5+1/105*(-3*A*a*e^2+10*A*c*d^2-42*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^3-1/105*c*(d+sqrt(a)*e/sqrt(c))*(6*A*a*e^3+58*A*c*d^2*e-21*B*a*d*e^2+42*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/105*sqrt(c)*(21*a*B*d*e*(a*e^2+4*c*d^2)+2*A*(-3*a^2*e^4-2*a*c*d^2*e^2+5*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-B*c*e^2*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a)/x^10,x,9,-1/9*A*d*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^9-1/63*(10*A*e+9*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^7+1/315*(-3*A*a*e^2+14*A*c*d^2-72*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^5+1/315*(4*A*a*e^3+38*A*c*d^2*e-9*B*a*d*e^2+30*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^3-2/315*c*(d+sqrt(a)*e/sqrt(c))*(3*a*B*d*e*(3*a*e^2+29*c*d^2)+A*(-4*a^2*e^4+15*a*c*d^2*e^2+21*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/315*sqrt(c)*(-a*e^2+c*d^2)*(-4*A*a*e^3+12*A*c*d^2*e+9*B*a*d*e^2+15*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a)/x^12,x,10,-1/11*A*d*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^11-1/99*(12*A*e+11*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^9+1/693*(-3*A*a*e^2+18*A*c*d^2-110*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^7+1/3465*(18*A*a*e^3+186*A*c*d^2*e-33*B*a*d*e^2+154*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^5+2/3465*(-12*A*a^2*e^4+21*A*a*c*d^2*e^2+75*A*c^2*d^4+22*B*a^2*d*e^3+209*B*a*c*d^3*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^3/x^3-2/3465*c*(d+sqrt(a)*e/sqrt(c))*(3*A*e*(8*a^2*e^4-15*a*c*d^2*e^2+103*c^2*d^4)+11*B*(-4*a^2*d*e^4+15*a*c*d^3*e^2+21*c^2*d^5))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/3465*sqrt(c)*(-a*e^2+c*d^2)*(44*a*B*d*e*(-a*e^2+3*c*d^2)+3*A*(8*a^2*e^4-9*a*c*d^2*e^2+25*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(-c*x^4+a)/x^14,x,11,-1/13*A*d*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^13-1/143*(14*A*e+13*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/x^11+1/1287*(-3*A*a*e^2+22*A*c*d^2-156*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^9+1/9009*(24*A*a*e^3+274*A*c*d^2*e-39*B*a*d*e^2+234*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^7+2/45045*(39*a*B*d*e*(3*a*e^2+31*c*d^2)+A*(-72*a^2*e^4+81*a*c*d^2*e^2+539*c^2*d^4))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^3/x^5+2/45045*(A*e*(96*a^2*e^4-113*a*c*d^2*e^2+1193*c^2*d^4)+39*B*(-4*a^2*d*e^4+7*a*c*d^3*e^2+25*c^2*d^5))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^4/x^3-2/45045*c*(d+sqrt(a)*e/sqrt(c))*(39*a*B*d*e*(8*a^2*e^4-15*a*c*d^2*e^2+103*c^2*d^4)+A*(-192*a^3*e^6+250*a^2*c*d^2*e^4+597*a*c^2*d^4*e^2+1617*c^3*d^6))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^3/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/45045*sqrt(c)*(-a*e^2+c*d^2)*(2*A*e*(-96*a^2*e^4+53*a*c*d^2*e^2+327*c^2*d^4)+39*B*(8*a^2*d*e^4-9*a*c*d^3*e^2+25*c^2*d^5))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^4*(B*x^2+A)*sqrt(-c*x^4+a)/sqrt(e*x^2+d),x,14,-1/384*(64*A*a*e^3-120*A*c*d^2*e-44*B*a*d*e^2+105*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^4/x+1/192*(-40*A*c*d*e-12*B*a*e^2+35*B*c*d^2)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^3-1/48*(-8*A*e+7*B*d)*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e^2+1/8*B*x^5*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e-1/384*(d+sqrt(a)*e/sqrt(c))*(64*A*a*e^3-120*A*c*d^2*e-44*B*a*d*e^2+105*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/384*sqrt(a)*(64*A*a*e^3-40*A*c*d^2*e-20*B*a*d*e^2+35*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/128*(8*A*c*d*e*(-4*a*e^2+5*c*d^2)-B*(-16*a^2*e^4-24*a*c*d^2*e^2+35*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^2*(B*x^2+A)*sqrt(-c*x^4+a)/sqrt(e*x^2+d),x,12,1/48*(-18*A*c*d*e-8*B*a*e^2+15*B*c*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^3/x-1/24*(-6*A*e+5*B*d)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e^2+1/6*B*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e+1/48*(d+sqrt(a)*e/sqrt(c))*(-18*A*c*d*e-8*B*a*e^2+15*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/48*sqrt(a)*(-6*A*c*d*e-8*B*a*e^2+5*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/16*(8*A*a*e^3-6*A*c*d^2*e-4*B*a*d*e^2+5*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/sqrt(e*x^2+d),x,10,-1/8*(-4*A*e+3*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e^2/x+1/4*B*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e-1/8*c*(-4*A*e+3*B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/8*sqrt(a)*sqrt(c)*(4*A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/8*(-4*A*c*d*e-4*B*a*e^2+3*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^2/sqrt(e*x^2+d),x,9,1/2*B*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e/x+1/2*c*(2*A*e+B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/2*sqrt(a)*sqrt(c)*(-2*A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/2*c*(-2*A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^4/sqrt(e*x^2+d),x,9,-1/3*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^3+1/3*c*(-2*A*e+3*B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/3*sqrt(c)*(2*A*c*d^2+a*e*(-2*A*e+3*B*d))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-B*c*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^6/sqrt(e*x^2+d),x,7,-1/5*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^5-1/15*(-4*A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^2/x^3-2/15*c*(d+sqrt(a)*e/sqrt(c))*(-4*A*a*e^2+3*A*c*d^2+5*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/15*sqrt(c)*(-4*A*e+5*B*d)*(-a*e^2+c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^8/sqrt(e*x^2+d),x,8,-1/7*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^7-1/35*(-6*A*e+7*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^2/x^5+2/105*(-12*A*a*e^2+5*A*c*d^2+14*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^3/x^3-2/105*c*(d+sqrt(a)*e/sqrt(c))*(24*A*a*e^3-13*A*c*d^2*e-28*B*a*d*e^2+21*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/105*sqrt(c)*(-a*e^2+c*d^2)*(24*A*a*e^2+5*A*c*d^2-28*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^10/sqrt(e*x^2+d),x,9,-1/9*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/x^9-1/63*(-8*A*e+9*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^2/x^7+2/315*(-24*A*a*e^2+7*A*c*d^2+27*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^3/x^5+2/315*(32*A*a*e^3-11*A*c*d^2*e-36*B*a*d*e^2+15*B*c*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^4/x^3+2/315*c*(d+sqrt(a)*e/sqrt(c))*(3*a*B*d*e*(-24*a*e^2+13*c*d^2)-A*(-64*a^2*e^4+30*a*c*d^2*e^2+21*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/315*sqrt(c)*(-a*e^2+c*d^2)*(-64*A*a*e^3-18*A*c*d^2*e+72*B*a*d*e^2+15*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^4*(B*x^2+A)*sqrt(-c*x^4+a)/(e*x^2+d)^(3/2),x,12,-d*(-A*e+B*d)*x*sqrt(-c*x^4+a)/e^3/sqrt(e*x^2+d)+1/48*(-90*A*c*d*e-8*B*a*e^2+105*B*c*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^4/x-1/24*(-6*A*e+11*B*d)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e^3+1/6*B*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e^2+1/48*(sqrt(c)*d+sqrt(a)*e)*(-90*A*c*d*e-8*B*a*e^2+105*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/48*sqrt(a)*(-30*A*c*d*e-8*B*a*e^2+35*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/16*(8*A*a*e^3-30*A*c*d^2*e-12*B*a*d*e^2+35*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^2*(B*x^2+A)*sqrt(-c*x^4+a)/(e*x^2+d)^(3/2),x,11,(-A*e+B*d)*x*sqrt(-c*x^4+a)/e^2/sqrt(e*x^2+d)-3/8*(-4*A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e^3/x+1/4*B*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/e^2-3/8*sqrt(c)*(sqrt(c)*d+sqrt(a)*e)*(-4*A*e+5*B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/8*sqrt(a)*sqrt(c)*(-4*A*e+5*B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/8*(-12*A*c*d*e-4*B*a*e^2+15*B*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/(e*x^2+d)^(3/2),x,10,(A/d-B/e)*x*sqrt(-c*x^4+a)/sqrt(e*x^2+d)+1/2*(-2*A*e+3*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/e^2/x+1/2*sqrt(c)*(sqrt(c)*d+sqrt(a)*e)*(-2*A*e+3*B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/2*sqrt(a)*sqrt(c)*(-2*A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/2*c*(-2*A*e+3*B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^2/(e*x^2+d)^(3/2),x,11,(-A*e+B*d)*x*sqrt(-c*x^4+a)/d^2/sqrt(e*x^2+d)-(-A*e+B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^2/e/x-c*(-2*A*e+B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d^2/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+sqrt(a)*sqrt(c)*(-2*A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-B*c*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^4/(e*x^2+d)^(3/2),x,8,-e*(-A*e+B*d)*x*sqrt(-c*x^4+a)/d^3/sqrt(e*x^2+d)-1/3*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^2/x^3+(-A*e+B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^3/x+2/3*c*(-4*A*e+3*B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/3*sqrt(c)*(-4*A*a*e^2+A*c*d^2+3*B*a*d*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^6/(e*x^2+d)^(3/2),x,9,e^2*(-A*e+B*d)*x*sqrt(-c*x^4+a)/d^4/sqrt(e*x^2+d)-1/5*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^2/x^5-1/15*(-9*A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^3/x^3-e*(-A*e+B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^4/x-2/15*c*(d+sqrt(a)*e/sqrt(c))*(20*a*B*d*e+3*A*(-8*a*e^2+c*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-2/15*sqrt(c)*(24*A*a*e^3-9*A*c*d^2*e-20*B*a*d*e^2+5*B*c*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(B*x^2+A)*sqrt(-c*x^4+a)/x^8/(e*x^2+d)^(3/2),x,10,-e^3*(-A*e+B*d)*x*sqrt(-c*x^4+a)/d^5/sqrt(e*x^2+d)-1/7*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^2/x^7-1/35*(-13*A*e+7*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^3/x^5+1/105*(-87*A*a*e^2+10*A*c*d^2+63*B*a*d*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^4/x^3+e^2*(-A*e+B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d^5/x-2/105*c*(d+sqrt(a)*e/sqrt(c))*(21*B*(-8*a*d*e^2+c*d^3)-A*(-192*a*e^3+34*c*d^2*e))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+2/105*sqrt(c)*(21*a*B*d*e*(-8*a*e^2+3*c*d^2)-A*(-192*a^2*e^4+82*a*c*d^2*e^2+5*c^2*d^4))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^4*(C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,12,-1/48*(24*A*c*e^2-18*B*c*d*e+16*C*a*e^2+15*C*c*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c^2/e^3/x+1/24*(-6*B*e+5*C*d)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2-1/6*C*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e-1/48*(d+sqrt(a)*e/sqrt(c))*(16*a*C*e^2+3*c*(8*A*e^2-6*B*d*e+5*C*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/48*sqrt(a)*(24*A*c*e^2-6*B*c*d*e+16*C*a*e^2+5*C*c*d^2)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/16*(4*a*e^2*(-2*B*e+C*d)+c*d*(8*A*e^2-6*B*d*e+5*C*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^2*(C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,10,1/8*(-4*B*e+3*C*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2/x-1/4*C*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e+1/8*(-4*B*e+3*C*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/8*sqrt(a)*(-4*B*e+C*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/8*(4*(2*A*c+C*a)*e^2+c*d*(-4*B*e+3*C*d))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,9,-1/2*C*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e/x-1/2*C*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/2*(2*A*c+C*a)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/sqrt(c)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/2*(-2*B*e+C*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,8,A*c*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+sqrt(c)*(-A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+C*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,6,-1/3*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^3+1/3*c*(-2*A*e+3*B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/3*sqrt(c)*(3*a*d*(-B*e+C*d)+A*(2*a*e^2+c*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^6/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,7,-1/5*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^5-1/15*(-4*A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^3+1/15*c*(d+sqrt(a)*e/sqrt(c))*(5*a*d*(-2*B*e+3*C*d)+A*(8*a*e^2+9*c*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/15*sqrt(c)*(-8*A*a*e^3-7*A*c*d^2*e+10*B*a*d*e^2+5*B*c*d^3-15*C*a*d^2*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^8/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,8,-1/7*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^7-1/35*(-6*A*e+7*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^5-1/105*(24*A*a*e^2+25*A*c*d^2-28*B*a*d*e+35*C*a*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^3/x^3-1/105*c*(d+sqrt(a)*e/sqrt(c))*(44*A*c*d^2*e+70*a*C*d^2*e+48*a*A*e^3-7*B*(8*a*d*e^2+9*c*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/105*sqrt(c)*(A*(48*a^2*e^4+32*a*c*d^2*e^2+25*c^2*d^4)+7*a*d*(c*d^2*(-7*B*e+5*C*d)+2*a*e^2*(-4*B*e+5*C*d)))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(C*x^4+B*x^2+A)/x^10/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,9,-1/9*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^9-1/63*(-8*A*e+9*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^7-1/315*(48*A*a*e^2+49*A*c*d^2-54*B*a*d*e+63*C*a*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^3/x^5-1/315*(-64*A*a*e^3-62*A*c*d^2*e+72*B*a*d*e^2+75*B*c*d^3-84*C*a*d^2*e)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^4/x^3+1/315*c*(d+sqrt(a)*e/sqrt(c))*(A*(128*a^2*e^4+108*a*c*d^2*e^2+147*c^2*d^4)+3*a*d*(c*d^2*(-44*B*e+63*C*d)+8*a*e^2*(-6*B*e+7*C*d)))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^3/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/315*sqrt(c)*(-128*A*a^2*e^5-76*A*a*c*d^2*e^3-111*A*c^2*d^4*e+144*B*a^2*d*e^4+96*B*a*c*d^3*e^2+75*B*c^2*d^5-168*C*a^2*d^2*e^3-147*C*a*c*d^4*e)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^4*(D*x^6+C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,14,1/384*(4*a*e^2*(-32*C*e+25*D*d)+3*c*(-64*A*e^3+48*B*d*e^2-40*C*d^2*e+35*D*d^3))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c^2/e^4/x-1/192*(36*a*D*e^2+c*(48*B*e^2-40*C*d*e+35*D*d^2))*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c^2/e^3+1/48*(-8*C*e+7*D*d)*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2-1/8*D*x^5*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e+1/384*(d+sqrt(a)*e/sqrt(c))*(4*a*e^2*(-32*C*e+25*D*d)+3*c*(-64*A*e^3+48*B*d*e^2-40*C*d^2*e+35*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/384*sqrt(a)*(4*a*e^2*(-32*C*e+7*D*d)+c*(-192*A*e^3+48*B*d*e^2-40*C*d^2*e+35*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/128*(48*a^2*D*e^4+8*a*c*e^2*(8*B*e^2-4*C*d*e+3*D*d^2)+c^2*d*(-64*A*e^3+48*B*d*e^2-40*C*d^2*e+35*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^2/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,12,-1/48*(24*B*c*e^2-18*C*c*d*e+16*D*a*e^2+15*D*c*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c^2/e^3/x+1/24*(-6*C*e+5*D*d)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2-1/6*D*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e-1/48*(d+sqrt(a)*e/sqrt(c))*(16*a*D*e^2+3*c*(8*B*e^2-6*C*d*e+5*D*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/48*sqrt(a)*(16*a*D*e^2+c*(24*B*e^2-6*C*d*e+5*D*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/16*(4*a*e^2*(-2*C*e+D*d)+c*(-16*A*e^3+8*B*d*e^2-6*C*d^2*e+5*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,10,1/8*(-4*C*e+3*D*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2/x-1/4*D*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e+1/8*(d+sqrt(a)*e/sqrt(c))*(-4*C*e+3*D*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/8*(-8*A*c*e-4*C*a*e+D*a*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/sqrt(c)/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/8*(4*(2*B*c+D*a)*e^2+c*d*(-4*C*e+3*D*d))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,9,-1/2*D*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e/x-1/2*(d+sqrt(a)*e/sqrt(c))*(-2*A*c*e+D*a*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/2*(-2*A*c*e+2*B*c*d+D*a*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/sqrt(c)/d/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/2*(-2*C*e+D*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,9,-1/3*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^3+1/3*c*(-2*A*e+3*B*d)*(d+sqrt(a)*e/sqrt(c))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/3*sqrt(c)*(3*a*d*(-B*e+C*d)+A*(2*a*e^2+c*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+D*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,7,-1/5*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^5-1/15*(-4*A*e+5*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^3+1/15*c*(d+sqrt(a)*e/sqrt(c))*(5*a*d*(-2*B*e+3*C*d)+A*(8*a*e^2+9*c*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/15*sqrt(c)*(-8*A*a*e^3-7*A*c*d^2*e+10*B*a*d*e^2+5*B*c*d^3-15*C*a*d^2*e+15*D*a*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,8,-1/7*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^7-1/35*(-6*A*e+7*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^5-1/105*(24*A*a*e^2+25*A*c*d^2-28*B*a*d*e+35*C*a*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^3/x^3-1/105*c*(d+sqrt(a)*e/sqrt(c))*(44*A*c*d^2*e-7*B*(8*a*d*e^2+9*c*d^3)-a*(-48*A*e^3-70*C*d^2*e+105*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/105*sqrt(c)*(A*(48*a^2*e^4+32*a*c*d^2*e^2+25*c^2*d^4)+7*a*d*(c*d^2*(-7*B*e+5*C*d)-a*e*(8*B*e^2-10*C*d*e+15*D*d^2)))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^10/sqrt(e*x^2+d)/sqrt(-c*x^4+a),x,9,-1/9*A*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d/x^9-1/63*(-8*A*e+9*B*d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^2/x^7-1/315*(48*A*a*e^2+49*A*c*d^2-54*B*a*d*e+63*C*a*d^2)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^3/x^5-1/315*(-64*A*a*e^3-62*A*c*d^2*e+72*B*a*d*e^2+75*B*c*d^3-84*C*a*d^2*e+105*D*a*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^4/x^3+1/315*c*(d+sqrt(a)*e/sqrt(c))*(A*(128*a^2*e^4+108*a*c*d^2*e^2+147*c^2*d^4)+3*a*d*(c*d^2*(-44*B*e+63*C*d)-2*a*e*(24*B*e^2-28*C*d*e+35*D*d^2)))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^3/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/315*sqrt(c)*(111*A*c^2*d^4*e-a*c*d^2*(-76*A*e^3-147*C*d^2*e+105*D*d^3)-2*a^2*e^2*(-64*A*e^3-84*C*d^2*e+105*D*d^3)-3*B*(48*a^2*d*e^4+32*a*c*d^3*e^2+25*c^2*d^5))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^4*(D*x^6+C*x^4+B*x^2+A)/(e*x^2+d)^(3/2)/sqrt(-c*x^4+a),x,12,d*(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x*sqrt(-c*x^4+a)/e^3/(-a*e^2+c*d^2)/sqrt(e*x^2+d)+1/48*(16*a^2*D*e^4+a*c*e^2*(24*B*e^2-42*C*d*e+41*D*d^2)-3*c^2*d*(-16*A*e^3+24*B*d*e^2-30*C*d^2*e+35*D*d^3))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c^2/e^4/(-a*e^2+c*d^2)/x+1/24*(-6*C*e+11*D*d)*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^3-1/6*D*x^3*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2+1/48*(16*a^2*D*e^4+a*c*e^2*(24*B*e^2-42*C*d*e+41*D*d^2)-3*c^2*d*(-16*A*e^3+24*B*d*e^2-30*C*d^2*e+35*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^4/(sqrt(c)*d-sqrt(a)*e)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/48*sqrt(a)*(16*a*D*e^2+c*(24*B*e^2-30*C*d*e+35*D*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c^(3/2)/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/16*(4*a*e^2*(-2*C*e+3*D*d)+c*(-16*A*e^3+24*B*d*e^2-30*C*d^2*e+35*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/(e*x^2+d)^(3/2)/sqrt(-c*x^4+a),x,11,-(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x*sqrt(-c*x^4+a)/e^2/(-a*e^2+c*d^2)/sqrt(e*x^2+d)-1/8*(a*e^2*(-4*C*e+7*D*d)-c*(-8*A*e^3+8*B*d*e^2-12*C*d^2*e+15*D*d^3))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^3/(-a*e^2+c*d^2)/x-1/4*D*x*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/e^2-1/8*(a*e^2*(-4*C*e+7*D*d)-c*(-8*A*e^3+8*B*d*e^2-12*C*d^2*e+15*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e^3/(sqrt(c)*d-sqrt(a)*e)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/8*sqrt(a)*(-4*C*e+5*D*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/8*(4*a*D*e^2+c*(8*B*e^2-12*C*d*e+15*D*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/c/e^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/(e*x^2+d)^(3/2)/sqrt(-c*x^4+a),x,10,(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*x*sqrt(-c*x^4+a)/d/e/(-a*e^2+c*d^2)/sqrt(e*x^2+d)+1/2*(a*d*D*e^2-c*(-2*A*e^3+2*B*d*e^2-2*C*d^2*e+3*D*d^3))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/c/d/e^2/(-a*e^2+c*d^2)/x+1/2*(a*d*D*e^2-c*(-2*A*e^3+2*B*d*e^2-2*C*d^2*e+3*D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(c)/d/e^2/(sqrt(c)*d-sqrt(a)*e)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/2*(2*A*c*e+D*a*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/sqrt(c)/d/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a)-1/2*(-2*C*e+3*D*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/(e*x^2+d)^(3/2)/sqrt(-c*x^4+a),x,9,(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*sqrt(-c*x^4+a)/d/e/(-a*e^2+c*d^2)/x/sqrt(e*x^2+d)+sqrt(c)*(A*c*d^2*e+a*(-2*A*e^3+B*d*e^2-C*d^2*e+D*d^3))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^2/e/(sqrt(c)*d-sqrt(a)*e)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+sqrt(c)*(-2*A*e+B*d)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/sqrt(a)/d^2/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+D*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticPi(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),2,sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/e/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/(e*x^2+d)^(3/2)/sqrt(-c*x^4+a),x,7,(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*sqrt(-c*x^4+a)/d/e/(-a*e^2+c*d^2)/x^3/sqrt(e*x^2+d)-1/3*(A*c*d/a-3*C*d+3*d^2*D/e+3*B*e-4*A*e^2/d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/(-a*e^2+c*d^2)/x^3+1/3*sqrt(c)*(8*A*a*e^3-5*A*c*d^2*e-6*B*a*d*e^2+3*B*c*d^3+3*C*a*d^2*e-3*D*a*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a/d^3/(sqrt(c)*d-sqrt(a)*e)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/3*sqrt(c)*(3*a*d*(-2*B*e+C*d)+A*(8*a*e^2+c*d^2))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^3/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/(e*x^2+d)^(3/2)/sqrt(-c*x^4+a),x,8,(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*sqrt(-c*x^4+a)/d/e/(-a*e^2+c*d^2)/x^5/sqrt(e*x^2+d)-1/5*(A*c*d/a-5*C*d+5*d^2*D/e+5*B*e-6*A*e^2/d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/(-a*e^2+c*d^2)/x^5-1/15*(24*A*a*e^3-9*A*c*d^2*e-20*B*a*d*e^2+5*B*c*d^3+15*C*a*d^2*e-15*D*a*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^3/(-a*e^2+c*d^2)/x^3+1/15*sqrt(c)*(3*A*(-16*a^2*e^4+8*a*c*d^2*e^2+3*c^2*d^4)+5*a*d*(c*d^2*(-5*B*e+3*C*d)+a*e*(8*B*e^2-6*C*d*e+3*D*d^2)))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^4/(sqrt(c)*d-sqrt(a)*e)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/15*sqrt(c)*(-48*A*a*e^3-12*A*c*d^2*e+40*B*a*d*e^2+5*B*c*d^3-30*C*a*d^2*e+15*D*a*d^3)*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(3/2)/d^4/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/(e*x^2+d)^(3/2)/sqrt(-c*x^4+a),x,9,(-A*e^3+B*d*e^2-C*d^2*e+D*d^3)*sqrt(-c*x^4+a)/d/e/(-a*e^2+c*d^2)/x^7/sqrt(e*x^2+d)-1/7*(A*c*d/a-7*C*d+7*d^2*D/e+7*B*e-8*A*e^2/d)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/d/(-a*e^2+c*d^2)/x^7-1/35*(48*A*a*e^3-13*A*c*d^2*e-42*B*a*d*e^2+7*B*c*d^3+35*C*a*d^2*e-35*D*a*d^3)*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a/d^3/(-a*e^2+c*d^2)/x^5-1/105*(A*(-192*a^2*e^4+62*a*c*d^2*e^2+25*c^2*d^4)+7*a*d*(c*d^2*(-9*B*e+5*C*d)+a*e*(24*B*e^2-20*C*d*e+15*D*d^2)))*sqrt(e*x^2+d)*sqrt(-c*x^4+a)/a^2/d^4/(-a*e^2+c*d^2)/x^3-1/105*sqrt(c)*(107*A*c^2*d^4*e+2*a^2*e^2*(-192*A*e^3-140*C*d^2*e+105*D*d^3)-a*c*d^2*(-172*A*e^3-175*C*d^2*e+105*D*d^3)-21*B*(-16*a^2*d*e^4+8*a*c*d^3*e^2+3*c^2*d^5))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*EllipticE(sin(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2))),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^2/d^5/(sqrt(c)*d-sqrt(a)*e)/sqrt(e*x^2+d)/sqrt(-c*x^4+a)+1/105*sqrt(c)*(A*(384*a^2*e^4+116*a*c*d^2*e^2+25*c^2*d^4)+7*a*d*(c*d^2*(-12*B*e+5*C*d)-2*a*e*(24*B*e^2-20*C*d*e+15*D*d^2)))*sqrt(1-a/c/x^4)*x^3*sqrt(sqrt(a)*(e*x^2+d)/(sqrt(c)*d+sqrt(a)*e)/x^2)*InverseJacobiAM(arcsin(sqrt(1-sqrt(a)/sqrt(c)/x^2)/sqrt(2)),sqrt(2*d/(d+sqrt(a)*e/sqrt(c))))/a^(5/2)/d^5/sqrt(e*x^2+d)/sqrt(-c*x^4+a),1],
[x*(2*x^2+1)/sqrt(x^2+1)/(x^4+x^2+1),x,10,-1/2*arctan(sqrt(3)-2*sqrt(x^2+1))+1/2*arctan(sqrt(3)+2*sqrt(x^2+1))-1/2*sqrt(3)*arctanh(sqrt(3)*sqrt(x^2+1)/(x^2+2)),1],
[(sqrt(a)+sqrt(c)*x^2)/(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,2,-1/2*(sqrt(c)*d-sqrt(a)*e)*arctan(sqrt(a*e^2-b*d*e+c*d^2)*x/sqrt(d)/sqrt(e)/sqrt(c*x^4+b*x^2+a))/sqrt(d)/sqrt(e)/sqrt(a*e^2-b*d*e+c*d^2)+1/4*(sqrt(c)*d+sqrt(a)*e)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*sqrt(a)*(sqrt(c)*d/sqrt(a)-e)^2/sqrt(c)/d/e,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/d/e/sqrt(c*x^4+b*x^2+a),1],
[(sqrt(a)-sqrt(c)*x^2)/(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,4,1/2*(sqrt(c)*d+sqrt(a)*e)*arctan(sqrt(a*e^2-b*d*e+c*d^2)*x/sqrt(d)/sqrt(e)/sqrt(c*x^4+b*x^2+a))/sqrt(d)/sqrt(e)/sqrt(a*e^2-b*d*e+c*d^2)+a^(1/4)*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/(sqrt(c)*d-sqrt(a)*e)/sqrt(c*x^4+b*x^2+a)-1/4*(sqrt(c)*d+sqrt(a)*e)^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),-1/4*(sqrt(c)*d-sqrt(a)*e)^2/sqrt(a)/sqrt(c)/d/e,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/d/e/(sqrt(c)*d-sqrt(a)*e)/sqrt(c*x^4+b*x^2+a),1],
[x^5*(3*x^2+2)/(x^2+1)/sqrt(x^4+x^2+1),x,8,-13/8*sqrt(x^4+x^2+1)+3/4*x^2*sqrt(x^4+x^2+1)+9/16*arcsinh((2*x^2+1)/sqrt(3))+1/2*arctanh(1/2*(-x^2+1)/sqrt(x^4+x^2+1)),1],
[x^3*(3*x^2+2)/(x^2+1)/sqrt(x^4+x^2+1),x,7,3/2*sqrt(x^4+x^2+1)-5/4*arcsinh((2*x^2+1)/sqrt(3))-1/2*arctanh(1/2*(-x^2+1)/sqrt(x^4+x^2+1)),1],
[x*(3*x^2+2)/(x^2+1)/sqrt(x^4+x^2+1),x,6,3/2*arcsinh((2*x^2+1)/sqrt(3))+1/2*arctanh(1/2*(-x^2+1)/sqrt(x^4+x^2+1)),1],
[(3*x^2+2)/x/(x^2+1)/sqrt(x^4+x^2+1),x,6,-1/2*arctanh(1/2*(-x^2+1)/sqrt(x^4+x^2+1))-arctanh(1/2*(x^2+2)/sqrt(x^4+x^2+1)),1],
[(3*x^2+2)/x^3/(x^2+1)/sqrt(x^4+x^2+1),x,4,-sqrt(x^4+x^2+1)/x^2+1/2*arctanh(1/2*(-x^2+1)/sqrt(x^4+x^2+1)),1],
[(3*x^2+2)/x^5/(x^2+1)/sqrt(x^4+x^2+1),x,8,-1/2*sqrt(x^4+x^2+1)/x^4+1/4*sqrt(x^4+x^2+1)/x^2-1/2*arctanh(1/2*(-x^2+1)/sqrt(x^4+x^2+1))+7/8*arctanh(1/2*(x^2+2)/sqrt(x^4+x^2+1)),1],
[x^4*(3*x^2+2)/(x^2+1)/sqrt(x^4+x^2+1),x,8,x*sqrt(x^4+x^2+1)-3*x*sqrt(x^4+x^2+1)/(x^2+1)-1/2*arctan(x/sqrt(x^4+x^2+1))+3*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*EllipticE(sin(2*arctan(x)),sqrt(1/4))/sqrt(x^4+x^2+1)-7/4*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*InverseJacobiAM(2*arctan(x),sqrt(1/4))/sqrt(x^4+x^2+1),1],
[x^2*(3*x^2+2)/(x^2+1)/sqrt(x^4+x^2+1),x,7,3*x*sqrt(x^4+x^2+1)/(x^2+1)+1/2*arctan(x/sqrt(x^4+x^2+1))-3*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*EllipticE(sin(2*arctan(x)),sqrt(1/4))/sqrt(x^4+x^2+1)+5/4*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*InverseJacobiAM(2*arctan(x),sqrt(1/4))/sqrt(x^4+x^2+1),1],
[(3*x^2+2)/(x^2+1)/sqrt(x^4+x^2+1),x,4,-1/2*arctan(x/sqrt(x^4+x^2+1))+5/4*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*InverseJacobiAM(2*arctan(x),sqrt(1/4))/sqrt(x^4+x^2+1),1],
[(3*x^2+2)/x^2/(x^2+1)/sqrt(x^4+x^2+1),x,8,-2*sqrt(x^4+x^2+1)/x+2*x*sqrt(x^4+x^2+1)/(x^2+1)+1/2*arctan(x/sqrt(x^4+x^2+1))-2*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*EllipticE(sin(2*arctan(x)),sqrt(1/4))/sqrt(x^4+x^2+1)+5/4*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*InverseJacobiAM(2*arctan(x),sqrt(1/4))/sqrt(x^4+x^2+1),1],
[(3*x^2+2)/x^4/(x^2+1)/sqrt(x^4+x^2+1),x,9,-2/3*sqrt(x^4+x^2+1)/x^3+1/3*sqrt(x^4+x^2+1)/x-x*sqrt(x^4+x^2+1)/(3*x^2+3)-1/2*arctan(x/sqrt(x^4+x^2+1))+1/3*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*EllipticE(sin(2*arctan(x)),sqrt(1/4))/sqrt(x^4+x^2+1)-3/4*(x^2+1)*sqrt((x^4+x^2+1)/(x^2+1)^2)*InverseJacobiAM(2*arctan(x),sqrt(1/4))/sqrt(x^4+x^2+1),1],
[x^4*(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a),x,16,1/3840*(10*A*c*e*(15*c^3*d^3+15*b^3*e^3-c^2*d*e*(-20*a*e+7*b*d)-b*c*e^2*(52*a*e+7*b*d))-B*(105*c^4*d^4+105*b^4*e^4-4*c^3*d^2*e*(-23*a*e+10*b*d)-20*b^2*c*e^3*(23*a*e+2*b*d)-2*c^2*e^2*(-128*a^2*e^2-72*a*b*d*e+17*b^2*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^4/e^4/x-1/1920*(10*A*c*e*(5*c^2*d^2+5*b^2*e^2-2*c*e*(6*a*e+b*d))-B*(35*c^3*d^3+35*b^3*e^3-c^2*d*e*(-28*a*e+11*b*d)-b*c*e^2*(116*a*e+11*b*d)))*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^3/e^3+1/480*(10*A*c*e*(b*e+c*d)-B*(7*c^2*d^2+7*b^2*e^2-2*c*e*(8*a*e+b*d)))*x^3*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e^2+1/80*(10*A*c*e+B*b*e+B*c*d)*x^5*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e+1/10*B*x^7*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)-1/3840*sqrt(-4*a*c+b^2)*(10*A*c*e*(15*c^3*d^3+15*b^3*e^3-c^2*d*e*(-20*a*e+7*b*d)-b*c*e^2*(52*a*e+7*b*d))-B*(105*c^4*d^4+105*b^4*e^4-4*c^3*d^2*e*(-23*a*e+10*b*d)-20*b^2*c*e^3*(23*a*e+2*b*d)-2*c^2*e^2*(-128*a^2*e^2-72*a*b*d*e+17*b^2*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^4/e^4/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/1920*sqrt(-4*a*c+b^2)*(10*A*c*e*(5*c^3*d^3+15*b^3*e^3-c^2*d*e*(-44*a*e+3*b*d)-b*c*e^2*(52*a*e+17*b*d))-B*(35*c^4*d^4+105*b^4*e^4-18*c^3*d^2*e*(-2*a*e+b*d)-10*b^2*c*e^3*(46*a*e+11*b*d)-4*c^2*e^2*(-64*a^2*e^2-94*a*b*d*e+3*b^2*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^4/e^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)-1/64*sqrt(-4*a*c+b^2)*(2*A*c*e*(5*c^4*d^4+5*b^4*e^4-4*c^3*d^2*e*(-2*a*e+b*d)-4*b^2*c*e^3*(6*a*e+b*d)-2*c^2*e^2*(-8*a^2*e^2-8*a*b*d*e+b^2*d^2))-B*(7*c^5*d^5+7*b^5*e^5-c^4*d^3*e*(-8*a*e+5*b*d)-5*b^3*c*e^4*(8*a*e+b*d)-2*b*c^2*e^3*(-24*a^2*e^2-12*a*b*d*e+b^2*d^2)-2*c^3*d*e^2*(8*a^2*e^2-4*a*b*d*e+b^2*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^4/(b+sqrt(-4*a*c+b^2))/e^4/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a),x,14,-1/384*(8*A*c*e*(3*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+b*d))-B*(15*c^3*d^3+15*b^3*e^3-c^2*d*e*(-20*a*e+7*b*d)-b*c*e^2*(52*a*e+7*b*d)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^3/e^3/x+1/192*(8*A*c*e*(b*e+c*d)-B*(5*c^2*d^2+5*b^2*e^2-2*c*e*(6*a*e+b*d)))*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e^2+1/48*(8*A*c*e+B*b*e+B*c*d)*x^3*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e+1/8*B*x^5*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)+1/384*sqrt(-4*a*c+b^2)*(8*A*c*e*(3*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+b*d))-B*(15*c^3*d^3+15*b^3*e^3-c^2*d*e*(-20*a*e+7*b*d)-b*c*e^2*(52*a*e+7*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/e^3/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/192*sqrt(-4*a*c+b^2)*(8*A*c*e*(c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d))-B*(5*c^3*d^3+15*b^3*e^3-c^2*d*e*(-44*a*e+3*b*d)-b*c*e^2*(52*a*e+17*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/e^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+1/32*sqrt(-4*a*c+b^2)*(8*A*c*e*(-b*e+c*d)*(4*a*c*e^2-b^2*e^2+c^2*d^2)-B*(5*c^4*d^4+5*b^4*e^4-4*c^3*d^2*e*(-2*a*e+b*d)-4*b^2*c*e^3*(6*a*e+b*d)-2*c^2*e^2*(-8*a^2*e^2-8*a*b*d*e+b^2*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/(b+sqrt(-4*a*c+b^2))/e^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a),x,11,1/48*(6*A*c*e*(b*e+c*d)-B*(3*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+b*d)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e^2/x+1/24*(6*A*c*e+B*b*e+B*c*d)*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e+1/6*B*x^3*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)-1/48*sqrt(-4*a*c+b^2)*(6*A*c*e*(b*e+c*d)-B*(3*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/e^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/24*sqrt(-4*a*c+b^2)*(6*A*c*e*(-b*e+5*c*d)+B*(c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+1/4*sqrt(-4*a*c+b^2)*(B*(-b*e+c*d)*(4*a*c*e^2-b^2*e^2+c^2*d^2)-2*A*c*e*(c^2*d^2+b^2*e^2-2*c*e*(2*a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/(b+sqrt(-4*a*c+b^2))/e^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^2,x,10,1/8*(4*A*c*e+B*b*e+B*c*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e/x+1/4*B*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)-1/8*sqrt(-4*a*c+b^2)*(12*A*c*e+B*b*e+B*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c/e/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/4*sqrt(-4*a*c+b^2)*(-4*A*a*c*e+8*A*b*c*d-B*a*b*e+5*B*a*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+1/2*sqrt(-4*a*c+b^2)*(4*A*c*e*(b*e+c*d)-B*(c^2*d^2+b^2*e^2-2*c*e*(2*a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c/(b+sqrt(-4*a*c+b^2))/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^4,x,10,-1/3*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^3+1/2*B*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x-1/6*sqrt(-4*a*c+b^2)*(9*a*B*d+2*A*(a*e+b*d))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/d/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/3*sqrt(-4*a*c+b^2)*(4*A*c*d^2-3*a*B*d*e-2*a*A*e^2+2*b*d*(A*e+3*B*d))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/d/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+sqrt(2)*sqrt(-4*a*c+b^2)*(2*A*c*e+B*b*e+B*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/(b+sqrt(-4*a*c+b^2))/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^6,x,10,-1/5*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^5-1/15*(A*a*e+A*b*d+5*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^3-1/15*sqrt(-4*a*c+b^2)*(5*a*B*d*(a*e+b*d)-2*A*(b^2*d^2-a*b*d*e-a*(-a*e^2+3*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^2/d^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(A*(-2*a*e+b*d)*(c*d^2-e*(-a*e+b*d))-5*a*B*d*(2*c*d^2+e*(-a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^2/d^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+2*sqrt(2)*B*c*sqrt(-4*a*c+b^2)*e*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/(b+sqrt(-4*a*c+b^2))/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^8,x,8,-1/7*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^7-1/35*(A*a*e+A*b*d+7*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^5-1/105*(7*a*B*d*(a*e+b*d)-A*(4*b^2*d^2-2*a*b*d*e-2*a*(-2*a*e^2+5*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^3+1/105*sqrt(-4*a*c+b^2)*(14*a*B*d*(b^2*d^2-a*b*d*e-a*(-a*e^2+3*c*d^2))-A*(8*b^3*d^3-5*a*b^2*d^2*e+8*a^2*e*(a*e^2+2*c*d^2)-a*b*d*(5*a*e^2+29*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^3/d^3/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(7*a*B*d*(-2*a*e+b*d)-A*(4*b^2*d^2+a*b*d*e-2*a*(4*a*e^2+5*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^3/d^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^10,x,9,-1/9*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^9-1/63*(A*a*e+A*b*d+9*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^7-1/315*(9*a*B*d*(a*e+b*d)-A*(6*b^2*d^2-2*a*b*d*e-2*a*(-3*a*e^2+7*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^5+1/315*(6*a*B*d*(2*b^2*d^2-a*b*d*e-a*(-2*a*e^2+5*c*d^2))-A*(8*b^3*d^3-3*a*b^2*d^2*e+8*a^2*e*(a*e^2+c*d^2)-3*a*b*d*(a*e^2+9*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^3/x^3-1/315*sqrt(-4*a*c+b^2)*(3*a*B*d*(8*b^3*d^3-5*a*b^2*d^2*e+8*a^2*e*(a*e^2+2*c*d^2)-a*b*d*(5*a*e^2+29*c*d^2))-2*A*(8*b^4*d^4-4*a*b^3*d^3*e+a^2*b*d*e*(-4*a*e^2+15*c*d^2)-3*a*b^2*d^2*(a*e^2+12*c*d^2)+a^2*(8*a^2*e^4+9*a*c*d^2*e^2+21*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^4/d^4/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/315*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(3*a*B*d*(4*b^2*d^2+a*b*d*e-2*a*(4*a*e^2+5*c*d^2))-A*(8*b^3*d^3-27*a*b*c*d^3+3*a*b^2*d^2*e-2*a^2*e*(8*a*e^2+3*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^4/d^4/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^12,x,10,-1/11*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^11-1/99*(A*a*e+A*b*d+11*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^9-1/693*(11*a*B*d*(a*e+b*d)-A*(8*b^2*d^2-2*a*b*d*e-2*a*(-4*a*e^2+9*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^7+1/3465*(22*a*B*d*(3*b^2*d^2-a*b*d*e-a*(-3*a*e^2+7*c*d^2))-A*(48*b^3*d^3-13*a*b^2*d^2*e+16*a^2*e*(3*a*e^2+2*c*d^2)-a*b*d*(13*a*e^2+157*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^3/x^5-1/3465*(11*a*B*d*(8*b^3*d^3-3*a*b^2*d^2*e+8*a^2*e*(a*e^2+c*d^2)-3*a*b*d*(a*e^2+9*c*d^2))-2*A*(32*b^4*d^4-10*a*b^3*d^3*e+5*a^2*b*d*e*(-2*a*e^2+7*c*d^2)-3*a*b^2*d^2*(3*a*e^2+46*c*d^2)+a^2*(32*a^2*e^4+23*a*c*d^2*e^2+75*c^2*d^4)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^4/d^4/x^3-1/3465*sqrt(-4*a*c+b^2)*(A*(128*b^5*d^5-56*a*b^4*d^4*e+a^2*b^2*d^2*e*(-37*a*e^2+258*c*d^2)-a*b^3*d^3*(37*a*e^2+696*c*d^2)+a^2*b*d*(-56*a^2*e^4+135*a*c*d^2*e^2+771*c^2*d^4)-4*a^3*e*(-32*a^2*e^4-27*a*c*d^2*e^2+39*c^2*d^4))-22*a*B*d*(8*b^4*d^4-4*a*b^3*d^3*e+a^2*b*d*e*(-4*a*e^2+15*c*d^2)-3*a*b^2*d^2*(a*e^2+12*c*d^2)+a^2*(8*a^2*e^4+9*a*c*d^2*e^2+21*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^5/d^5/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/3465*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(11*a*B*d*(8*b^3*d^3-27*a*b*c*d^3+3*a*b^2*d^2*e-2*a^2*e*(8*a*e^2+3*c*d^2))-A*(64*b^4*d^4+28*a*b^3*d^3*e-3*a*b^2*d^2*(-3*a*e^2+92*c*d^2)-a^2*b*d*e*(8*a*e^2+87*c*d^2)+2*a^2*(-64*a^2*e^4-6*a*c*d^2*e^2+75*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^5/d^5/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a),x,16,-1/3840*(10*A*c*e*(9*c^3*d^3-15*b^3*e^3-3*c^2*d*e*(28*a*e+3*b*d)+b*c*e^2*(52*a*e+31*b*d))-B*(45*c^4*d^4-105*b^4*e^4-6*c^3*d^2*e*(-18*a*e+5*b*d)+10*b^2*c*e^3*(46*a*e+19*b*d)-4*c^2*e^2*(64*a^2*e^2+166*a*b*d*e+9*b^2*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^4/e^3/x+1/1920*(10*A*c*e*(3*c^2*d^2-5*b^2*e^2+2*c*e*(6*a*e+5*b*d))-B*(15*c^3*d^3-35*b^3*e^3+b*c*e^2*(116*a*e+61*b*d)-c^2*d*e*(148*a*e+9*b*d)))*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^3/e^2+1/480*(10*A*c*e*(b*e+9*c*d)+B*(3*c^2*d^2-7*b^2*e^2+4*c*e*(4*a*e+3*b*d)))*x^3*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e+1/80*(10*A*c*e+B*b*e+11*B*c*d)*x^5*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c+1/10*B*e*x^7*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)+1/3840*sqrt(-4*a*c+b^2)*(10*A*c*e*(9*c^3*d^3-15*b^3*e^3-3*c^2*d*e*(28*a*e+3*b*d)+b*c*e^2*(52*a*e+31*b*d))-B*(45*c^4*d^4-105*b^4*e^4-6*c^3*d^2*e*(-18*a*e+5*b*d)+10*b^2*c*e^3*(46*a*e+19*b*d)-4*c^2*e^2*(64*a^2*e^2+166*a*b*d*e+9*b^2*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^4/e^3/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/1920*sqrt(-4*a*c+b^2)*(10*A*c*e*(3*c^3*d^3-15*b^3*e^3+b*c*e^2*(52*a*e+41*b*d)-c^2*d*e*(108*a*e+29*b*d))-B*(15*c^4*d^4-105*b^4*e^4-4*c^3*d^2*e*(-101*a*e+3*b*d)+20*b^2*c*e^3*(23*a*e+13*b*d)-2*c^2*e^2*(128*a^2*e^2+448*a*b*d*e+79*b^2*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^4/e^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+1/64*sqrt(-4*a*c+b^2)*(2*A*c*e*(3*c^4*d^4-5*b^4*e^4-4*c^3*d^2*e*(-6*a*e+b*d)+12*b^2*c*e^3*(2*a*e+b*d)-2*c^2*e^2*(8*a^2*e^2+24*a*b*d*e+3*b^2*d^2))-B*(-b*e+c*d)*(3*c^4*d^4+8*a*c^3*d^2*e^2+7*b^4*e^4-8*b^2*c*e^3*(5*a*e+b*d)-c^2*(-48*a^2*e^4-32*a*b*d*e^3+2*b^2*d^2*e^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^4/(b+sqrt(-4*a*c+b^2))/e^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a),x,12,1/384*(8*A*c*e*(3*c^2*d^2-3*b^2*e^2+8*c*e*(a*e+b*d))-B*(9*c^3*d^3-15*b^3*e^3-3*c^2*d*e*(28*a*e+3*b*d)+b*c*e^2*(52*a*e+31*b*d)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^3/e^2/x+1/192*(8*A*c*e*(b*e+7*c*d)+B*(3*c^2*d^2-5*b^2*e^2+2*c*e*(6*a*e+5*b*d)))*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e+1/48*(8*A*c*e+B*b*e+9*B*c*d)*x^3*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c+1/8*B*e*x^5*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)-1/384*sqrt(-4*a*c+b^2)*(8*A*c*e*(3*c^2*d^2-3*b^2*e^2+8*c*e*(a*e+b*d))-B*(9*c^3*d^3-15*b^3*e^3-3*c^2*d*e*(28*a*e+3*b*d)+b*c*e^2*(52*a*e+31*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/e^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/192*sqrt(-4*a*c+b^2)*(8*A*c*e*(31*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+5*b*d))+B*(3*c^3*d^3-15*b^3*e^3+b*c*e^2*(52*a*e+41*b*d)-c^2*d*e*(108*a*e+29*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)-1/32*sqrt(-4*a*c+b^2)*(8*A*c*e*(c^3*d^3-b^3*e^3-3*c^2*d*e*(4*a*e+b*d)+b*c*e^2*(4*a*e+3*b*d))-B*(3*c^4*d^4-5*b^4*e^4-4*c^3*d^2*e*(-6*a*e+b*d)+12*b^2*c*e^3*(2*a*e+b*d)-2*c^2*e^2*(8*a^2*e^2+24*a*b*d*e+3*b^2*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/(b+sqrt(-4*a*c+b^2))/e^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a)/x^2,x,11,1/48*(6*A*c*e*(b*e+5*c*d)+B*(3*c^2*d^2-3*b^2*e^2+8*c*e*(a*e+b*d)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e/x+1/24*(6*A*c*e+B*b*e+7*B*c*d)*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c+1/6*B*e*x^3*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)-1/48*sqrt(-4*a*c+b^2)*(6*A*c*e*(b*e+13*c*d)+B*(3*c^2*d^2-3*b^2*e^2+8*c*e*(a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/e/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/24*sqrt(-4*a*c+b^2)*(6*A*c*(-a*b*e^2+a*c*d*e+8*b*c*d^2)+a*B*(31*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+5*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+1/4*sqrt(-4*a*c+b^2)*(2*A*c*e*(3*c^2*d^2-b^2*e^2+2*c*e*(2*a*e+3*b*d))-B*(c^3*d^3-b^3*e^3-3*c^2*d*e*(4*a*e+b*d)+b*c*e^2*(4*a*e+3*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/(b+sqrt(-4*a*c+b^2))/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a)/x^4,x,11,-1/3*A*d*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^3+1/8*(4*A*c*e+B*b*e+5*B*c*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/x+1/4*B*e*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)-1/24*sqrt(-4*a*c+b^2)*(44*A*a*c*e+8*A*b*c*d+3*B*a*b*e+39*B*a*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/12*sqrt(-4*a*c+b^2)*(-20*A*a*c*e^2+32*A*b*c*d*e+16*A*c^2*d^2-3*B*a*b*e^2+3*B*a*c*d*e+24*B*b*c*d^2)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+1/2*sqrt(-4*a*c+b^2)*(4*A*c*e*(b*e+3*c*d)+B*(3*c^2*d^2-b^2*e^2+2*c*e*(2*a*e+3*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c/(b+sqrt(-4*a*c+b^2))/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a)/x^6,x,11,-1/5*A*d*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^5-1/15*(6*A*a*e+A*b*d+5*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/x^3+1/2*B*e*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x-1/30*sqrt(-4*a*c+b^2)*(5*a*B*d*(11*a*e+2*b*d)-2*A*(2*b^2*d^2-7*a*b*d*e-3*a*(a*e^2+2*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^2/d/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/15*sqrt(-4*a*c+b^2)*(2*A*(3*a^2*e^3-2*a*b*d*e^2-12*a*c*d^2*e-b^2*d^2*e+b*c*d^3)-5*a*B*d*(4*c*d^2+e*(-5*a*e+8*b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^2/d/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+sqrt(2)*sqrt(-4*a*c+b^2)*e*(2*A*c*e+B*b*e+3*B*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/(b+sqrt(-4*a*c+b^2))/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a)/x^8,x,11,-1/7*A*d*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^7-1/35*(8*A*a*e+A*b*d+7*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/x^5-1/105*(7*a*B*d*(6*a*e+b*d)-A*(4*b^2*d^2-9*a*b*d*e-a*(3*a*e^2+10*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d/x^3-1/105*sqrt(-4*a*c+b^2)*(A*(-2*a*e+b*d)*(8*b^2*d^2-3*a*b*d*e-a*(-3*a*e^2+29*c*d^2))-7*a*B*d*(2*b^2*d^2-7*a*b*d*e-3*a*(a*e^2+2*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^3/d^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(7*a*B*d*(3*a^2*e^3-2*a*b*d*e^2-12*a*c*d^2*e-b^2*d^2*e+b*c*d^3)+2*A*(2*b^3*d^3*e-2*a*b*d*e*(-3*a*e^2+c*d^2)-b^2*(5*a*d^2*e^2+2*c*d^4)+a*(-3*a^2*e^4+2*a*c*d^2*e^2+5*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^3/d^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+2*sqrt(2)*B*c*sqrt(-4*a*c+b^2)*e^2*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/(b+sqrt(-4*a*c+b^2))/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a)/x^10,x,9,-1/9*A*d*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^9-1/63*(10*A*a*e+A*b*d+9*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/x^7-1/315*(9*a*B*d*(8*a*e+b*d)-A*(6*b^2*d^2-11*a*b*d*e-a*(3*a*e^2+14*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d/x^5-1/315*(A*(8*b^3*d^3-15*a*b^2*d^2*e+38*a^2*c*d^2*e-4*a^3*e^3-3*a*b*d*(-a*e^2+9*c*d^2))-3*a*B*d*(4*b^2*d^2-9*a*b*d*e-a*(3*a*e^2+10*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^2/x^3-1/315*sqrt(-4*a*c+b^2)*(3*a*B*d*(-2*a*e+b*d)*(8*b^2*d^2-3*a*b*d*e-a*(-3*a*e^2+29*c*d^2))-A*(16*b^4*d^4-32*a*b^3*d^3*e-9*a*b^2*d^2*(-a*e^2+8*c*d^2)+a^2*b*d*e*(7*a*e^2+117*c*d^2)+2*a^2*(-4*a^2*e^4-15*a*c*d^2*e^2+21*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^4/d^3/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/315*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(6*a*B*d*(2*b^2*d^2-3*a*b*d*e-a*(-3*a*e^2+5*c*d^2))-A*(8*b^3*d^3-9*a*b^2*d^2*e+8*a^2*e*(a*e^2+3*c*d^2)-3*a*b*d*(a*e^2+9*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^4/d^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a)/x^12,x,10,-1/11*A*d*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^11-1/99*(12*A*a*e+A*b*d+11*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/x^9-1/693*(11*a*B*d*(10*a*e+b*d)-A*(8*b^2*d^2-13*a*b*d*e-3*a*(a*e^2+6*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d/x^7-1/3465*(A*(48*b^3*d^3-79*a*b^2*d^2*e-a*b*d*(-9*a*e^2+157*c*d^2)+6*a^2*e*(-3*a*e^2+31*c*d^2))-11*a*B*d*(6*b^2*d^2-11*a*b*d*e-a*(3*a*e^2+14*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^2/x^5-1/3465*(11*a*B*d*(8*b^3*d^3-15*a*b^2*d^2*e+2*a^2*e*(-2*a*e^2+19*c*d^2)-3*a*b*d*(-a*e^2+9*c*d^2))-A*(64*b^4*d^4-108*a*b^3*d^3*e-3*a*b^2*d^2*(-5*a*e^2+92*c*d^2)+a^2*b*d*e*(13*a*e^2+367*c*d^2)+6*a^2*(-4*a^2*e^4-7*a*c*d^2*e^2+25*c^2*d^4)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^4/d^3/x^3+1/3465*sqrt(-4*a*c+b^2)*(11*a*B*d*(16*b^4*d^4-32*a*b^3*d^3*e-9*a*b^2*d^2*(-a*e^2+8*c*d^2)+a^2*b*d*e*(7*a*e^2+117*c*d^2)+2*a^2*(-4*a^2*e^4-15*a*c*d^2*e^2+21*c^2*d^4))-A*(128*b^5*d^5-232*a*b^4*d^4*e-3*a*b^3*d^3*(-17*a*e^2+232*c*d^2)+a^2*b^2*d^2*e*(29*a*e^2+1050*c*d^2)-6*a^3*e*(8*a^2*e^4+15*a*c*d^2*e^2+103*c^2*d^4)+a^2*b*d*(32*a^2*e^4-195*a*c*d^2*e^2+771*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^5/d^4/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/3465*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(11*a*B*d*(8*b^3*d^3-9*a*b^2*d^2*e+8*a^2*e*(a*e^2+3*c*d^2)-3*a*b*d*(a*e^2+9*c*d^2))-2*A*(32*b^4*d^4-30*a*b^3*d^3*e+a^2*b*d*e*(-4*a*e^2+105*c*d^2)-6*a*b^2*d^2*(2*a*e^2+23*c*d^2)+3*a^2*(8*a^2*e^4+9*a*c*d^2*e^2+25*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^5/d^4/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(B*x^2+A)*(e*x^2+d)^(3/2)*sqrt(c*x^4+b*x^2+a)/x^14,x,11,-1/13*A*d*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/x^13-1/143*(14*A*a*e+A*b*d+13*B*a*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/x^11-1/1287*(13*a*B*d*(12*a*e+b*d)-A*(10*b^2*d^2-15*a*b*d*e-a*(3*a*e^2+22*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d/x^9-1/9009*(A*(80*b^3*d^3-121*a*b^2*d^2*e+274*a^2*c*d^2*e-24*a^3*e^3-a*b*d*(-9*a*e^2+257*c*d^2))-13*a*B*d*(8*b^2*d^2-13*a*b*d*e-3*a*(a*e^2+6*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^2/x^7-1/45045*(13*a*B*d*(48*b^3*d^3-79*a*b^2*d^2*e-a*b*d*(-9*a*e^2+157*c*d^2)+6*a^2*e*(-3*a*e^2+31*c*d^2))-A*(480*b^4*d^4-736*a*b^3*d^3*e-a*b^2*d^2*(-63*a*e^2+2032*c*d^2)+a^2*b*d*e*(57*a*e^2+2419*c*d^2)+2*a^2*(-72*a^2*e^4-81*a*c*d^2*e^2+539*c^2*d^4)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^4/d^3/x^5+1/45045*(13*a*B*d*(64*b^4*d^4-108*a*b^3*d^3*e-3*a*b^2*d^2*(-5*a*e^2+92*c*d^2)+a^2*b*d*e*(13*a*e^2+367*c*d^2)+6*a^2*(-4*a^2*e^4-7*a*c*d^2*e^2+25*c^2*d^4))-A*(640*b^5*d^5-1008*a*b^4*d^4*e-a*b^3*d^3*(-111*a*e^2+3376*c*d^2)+a^2*b^2*d^2*e*(85*a*e^2+4366*c*d^2)+3*a^2*b*d*(28*a^2*e^4-133*a*c*d^2*e^2+1193*c^2*d^4)-2*a^3*e*(96*a^2*e^4+113*a*c*d^2*e^2+1193*c^2*d^4)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^5/d^4/x^3-1/45045*sqrt(-4*a*c+b^2)*(13*a*B*d*(128*b^5*d^5-232*a*b^4*d^4*e-3*a*b^3*d^3*(-17*a*e^2+232*c*d^2)+a^2*b^2*d^2*e*(29*a*e^2+1050*c*d^2)-6*a^3*e*(8*a^2*e^4+15*a*c*d^2*e^2+103*c^2*d^4)+a^2*b*d*(32*a^2*e^4-195*a*c*d^2*e^2+771*c^2*d^4))-A*(1280*b^6*d^6-2176*a*b^5*d^5*e-2*a*b^4*d^4*(-207*a*e^2+4096*c*d^2)+a^2*b^3*d^3*e*(203*a*e^2+11884*c*d^2)-a^3*b*d*e*(-216*a^2*e^4+755*a*c*d^2*e^2+13245*c^2*d^4)+a^2*b^2*d^2*(167*a^2*e^4-1932*a*c*d^2*e^2+13254*c^2*d^4)-2*a^3*(192*a^3*e^6+250*a^2*c*d^2*e^4-597*a*c^2*d^4*e^2+1617*c^3*d^6)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^6/d^5/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/45045*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(A*(640*b^5*d^5-528*a*b^4*d^4*e+a^2*b^2*d^2*e*(-107*a*e^2+2334*c*d^2)-a*b^3*d^3*(225*a*e^2+3376*c*d^2)-4*a^3*e*(-96*a^2*e^4-53*a*c*d^2*e^2+327*c^2*d^4)+3*a^2*b*d*(-8*a^2*e^4+245*a*c*d^2*e^2+1193*c^2*d^4))-26*a*B*d*(32*b^4*d^4-30*a*b^3*d^3*e+a^2*b*d*e*(-4*a*e^2+105*c*d^2)-6*a*b^2*d^2*(2*a*e^2+23*c*d^2)+3*a^2*(8*a^2*e^4+9*a*c*d^2*e^2+25*c^2*d^4)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^6/d^5/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,10,-1/8*(-4*B*c*e+3*C*b*e+3*C*c*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e^2/x+1/4*C*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e+1/8*sqrt(-4*a*c+b^2)*(-4*B*c*e+3*C*b*e+3*C*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/e^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/4*sqrt(-4*a*c+b^2)*(-4*B*c*e+3*C*b*e+C*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)-1/2*sqrt(-4*a*c+b^2)*(4*c*e*(-2*A*c*e+C*a*e+C*b*d)-(b*e+c*d)*(-4*B*c*e+3*C*b*e+3*C*c*d))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/(b+sqrt(-4*a*c+b^2))/e^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,9,1/2*C*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e/x-1/2*sqrt(-4*a*c+b^2)*C*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c/e/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-sqrt(-4*a*c+b^2)*(2*A*c-C*a)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)-sqrt(2)*sqrt(-4*a*c+b^2)*(-2*B*c*e+C*b*e+C*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/c/(b+sqrt(-4*a*c+b^2))/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,8,-A*sqrt(-4*a*c+b^2)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/d/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-sqrt(2)*sqrt(-4*a*c+b^2)*(-A*e+B*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a/d/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+2*sqrt(2)*sqrt(-4*a*c+b^2)*C*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/(b+sqrt(-4*a*c+b^2))/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^4/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,6,-1/3*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^3-1/3*sqrt(-4*a*c+b^2)*(3*a*B*d-2*A*(a*e+b*d))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^2/d^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(3*a*d*(-B*e+C*d)-A*(c*d^2-e*(2*a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^2/d^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^6/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,7,-1/5*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^5-1/15*(5*a*B*d-4*A*(a*e+b*d))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^3+1/15*sqrt(-4*a*c+b^2)*(5*a*d*(2*B*a*e+2*B*b*d-3*C*a*d)-A*(8*b^2*d^2+7*a*b*d*e-a*(-8*a*e^2+9*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^3/d^3/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(A*(-8*a^2*e^3-3*a*b*d*e^2+7*a*c*d^2*e-4*b^2*d^2*e+4*b*c*d^3)-5*a*d*(3*a*C*d*e+B*(c*d^2-e*(2*a*e+b*d))))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^3/d^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(C*x^4+B*x^2+A)/x^8/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,8,-1/7*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^7-1/35*(7*a*B*d-6*A*(a*e+b*d))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^5+1/105*(7*a*d*(4*B*a*e+4*B*b*d-5*C*a*d)-A*(24*b^2*d^2+23*a*b*d*e-a*(-24*a*e^2+25*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^3/x^3+1/105*sqrt(-4*a*c+b^2)*(4*A*(12*b^3*d^3+10*a*b^2*d^2*e-a^2*e*(-12*a*e^2+11*c*d^2)-2*a*b*d*(-5*a*e^2+13*c*d^2))-7*a*d*(8*b^2*B*d^2-a*b*d*(-7*B*e+10*C*d)-a*(-8*B*a*e^2+9*B*c*d^2+10*C*a*d*e)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^4/d^4/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(A*(24*b^3*d^3*e-2*a*b*d*e*(-8*a*e^2+33*c*d^2)-b^2*(-17*a*d^2*e^2+24*c*d^4)+a*(48*a^2*e^4-32*a*c*d^2*e^2+25*c^2*d^4))-7*a*d*(4*b^2*B*d^2*e-b*d*(-3*B*a*e^2+4*B*c*d^2+5*C*a*d*e)+a*(c*d^2*(-7*B*e+5*C*d)-2*a*e^2*(-4*B*e+5*C*d))))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^4/d^4/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[x^2*(D*x^6+C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,12,1/48*(15*b^2*D*e^2+2*c*e*(-9*C*b*e-8*D*a*e+7*D*b*d)+3*c^2*(8*B*e^2-6*C*d*e+5*D*d^2))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^3/e^3/x-1/24*(-6*C*c*e+5*D*b*e+5*D*c*d)*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e^2+1/6*D*x^3*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e-1/48*sqrt(-4*a*c+b^2)*(15*b^2*D*e^2+2*c*e*(-9*C*b*e-8*D*a*e+7*D*b*d)+3*c^2*(8*B*e^2-6*C*d*e+5*D*d^2))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/e^3/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/24*sqrt(-4*a*c+b^2)*(15*b^2*D*e^2+2*c*e*(-9*C*b*e-8*D*a*e+2*D*b*d)+c^2*(24*B*e^2-6*C*d*e+5*D*d^2))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/e^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)-1/4*sqrt(-4*a*c+b^2)*(5*b^3*D*e^3+3*b*c*e^2*(-2*C*b*e-4*D*a*e+D*b*d)+c^3*(-16*A*e^3+8*B*d*e^2-6*C*d^2*e+5*D*d^3)-c^2*e*(4*a*e*(-2*C*e+D*d)-b*(8*B*e^2-4*C*d*e+3*D*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^3/(b+sqrt(-4*a*c+b^2))/e^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(D*x^6+C*x^4+B*x^2+A)/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,10,-1/8*(-4*C*c*e+3*D*b*e+3*D*c*d)*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c^2/e^2/x+1/4*D*x*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e+1/8*sqrt(-4*a*c+b^2)*(-4*C*c*e+3*D*b*e+3*D*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/e^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/4*sqrt(-4*a*c+b^2)*(8*A*c^2*e+a*(-4*C*c*e+3*D*b*e+D*c*d))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c^2/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)-1/2*sqrt(-4*a*c+b^2)*(4*c*e*(-2*B*c*e+D*a*e+D*b*d)-(b*e+c*d)*(-4*C*c*e+3*D*b*e+3*D*c*d))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/c^2/(b+sqrt(-4*a*c+b^2))/e^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,9,1/2*D*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/c/e/x-1/2*sqrt(-4*a*c+b^2)*(2*A*c*e+D*a*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c/d/e/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-sqrt(-4*a*c+b^2)*(-2*A*c*e+2*B*c*d-D*a*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a/c/d/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)-sqrt(2)*sqrt(-4*a*c+b^2)*(-2*C*c*e+D*b*e+D*c*d)*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/c/(b+sqrt(-4*a*c+b^2))/e/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^4/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,9,-1/3*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^3-1/3*sqrt(-4*a*c+b^2)*(3*a*B*d-2*A*(a*e+b*d))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^2/d^2/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(3*a*d*(-B*e+C*d)-A*(c*d^2-e*(2*a*e+b*d)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^2/d^2/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a)+2*sqrt(2)*sqrt(-4*a*c+b^2)*D*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*EllipticPi(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),2*sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/(b+sqrt(-4*a*c+b^2))/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^6/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,7,-1/5*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^5-1/15*(5*a*B*d-4*A*(a*e+b*d))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^3+1/15*sqrt(-4*a*c+b^2)*(5*a*d*(2*B*a*e+2*B*b*d-3*C*a*d)-A*(8*b^2*d^2+7*a*b*d*e-a*(-8*a*e^2+9*c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^3/d^3/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(A*(-8*a^2*e^3-3*a*b*d*e^2+7*a*c*d^2*e-4*b^2*d^2*e+4*b*c*d^3)+5*a*d*(3*a*d*(-C*e+D*d)-B*(-2*a*e^2-b*d*e+c*d^2)))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^3/d^3/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^8/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,8,-1/7*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^7-1/35*(7*a*B*d-6*A*(a*e+b*d))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^5+1/105*(7*a*d*(4*B*a*e+4*B*b*d-5*C*a*d)-A*(24*b^2*d^2+23*a*b*d*e-a*(-24*a*e^2+25*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^3/x^3+1/105*sqrt(-4*a*c+b^2)*(4*A*(12*b^3*d^3+10*a*b^2*d^2*e-a^2*e*(-12*a*e^2+11*c*d^2)-2*a*b*d*(-5*a*e^2+13*c*d^2))-7*a*d*(8*b^2*B*d^2-a*b*d*(-7*B*e+10*C*d)+a*(5*a*d*(-2*C*e+3*D*d)-B*(-8*a*e^2+9*c*d^2))))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^4/d^4/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)-1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(A*(24*b^3*d^3*e-2*a*b*d*e*(-8*a*e^2+33*c*d^2)-b^2*(-17*a*d^2*e^2+24*c*d^4)+a*(48*a^2*e^4-32*a*c*d^2*e^2+25*c^2*d^4))-7*a*d*(4*b^2*B*d^2*e-b*d*(-3*B*a*e^2+4*B*c*d^2+5*C*a*d*e)+a*(c*d^2*(-7*B*e+5*C*d)+a*e*(8*B*e^2-10*C*d*e+15*D*d^2))))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^4/d^4/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1],
[(D*x^6+C*x^4+B*x^2+A)/x^10/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),x,9,-1/9*A*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a/d/x^9-1/63*(9*a*B*d-8*A*(a*e+b*d))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^2/d^2/x^7+1/315*(9*a*d*(6*B*a*e+6*B*b*d-7*C*a*d)-A*(48*b^2*d^2+47*a*b*d*e-a*(-48*a*e^2+49*c*d^2)))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^3/d^3/x^5+1/315*(2*A*(32*b^3*d^3+30*a*b^2*d^2*e-a^2*e*(-32*a*e^2+31*c*d^2)-6*a*b*d*(-5*a*e^2+11*c*d^2))-3*a*d*(24*b^2*B*d^2-a*b*d*(-23*B*e+28*C*d)+a*(7*a*d*(-4*C*e+5*D*d)-B*(-24*a*e^2+25*c*d^2))))*sqrt(e*x^2+d)*sqrt(c*x^4+b*x^2+a)/a^4/d^4/x^3-1/315*sqrt(-4*a*c+b^2)*(A*(128*b^4*d^4+104*a*b^3*d^3*e-2*a^2*b*d*e*(-52*a*e^2+111*c*d^2)-3*a*b^2*d^2*(-33*a*e^2+136*c*d^2)+a^2*(128*a^2*e^4-108*a*c*d^2*e^2+147*c^2*d^4))-3*a*d*(48*b^3*B*d^3-8*a*b^2*d^2*(-5*B*e+7*C*d)+a*b*d*(7*a*d*(-7*C*e+10*D*d)-8*B*(-5*a*e^2+13*c*d^2))+a^2*(c*d^2*(-44*B*e+63*C*d)+2*a*e*(24*B*e^2-28*C*d*e+35*D*d^2))))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*x*sqrt(e*x^2+d)*EllipticE(sin(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/sqrt(2)/a^5/d^5/sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))/sqrt(c*x^4+b*x^2+a)+1/315*sqrt(2)*sqrt(-4*a*c+b^2)*(A*(64*b^4*d^4*e-3*a*b^2*d^2*e*(-13*a*e^2+80*c*d^2)-b^3*(-44*a*d^3*e^2+64*c*d^5)+2*a*b*d*(20*a^2*e^4-63*a*c*d^2*e^2+66*c^2*d^4)+a^2*e*(128*a^2*e^4-76*a*c*d^2*e^2+111*c^2*d^4))-3*a*d*(24*b^3*B*d^3*e-b^2*d^2*(-17*B*a*e^2+24*B*c*d^2+28*C*a*d*e)+a*b*d*(2*c*d^2*(-33*B*e+14*C*d)+a*e*(16*B*e^2-21*C*d*e+35*D*d^2))+a*(B*(48*a^2*e^4-32*a*c*d^2*e^2+25*c^2*d^4)-7*a*d*(c*d^2*(-7*C*e+5*D*d)-2*a*e^2*(-4*C*e+5*D*d)))))*sqrt(-a*(c+a/x^4+b/x^2)/(-4*a*c+b^2))*sqrt(-a*(e+d/x^2)/((b+sqrt(-4*a*c+b^2))*d-2*a*e))*x^3*InverseJacobiAM(arcsin(sqrt(1+(b+2*a/x^2)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(2*sqrt(-4*a*c+b^2)*d/(b*d+sqrt(-4*a*c+b^2)*d-2*a*e)))/a^5/d^5/sqrt(e*x^2+d)/sqrt(c*x^4+b*x^2+a),1]]: