lst:=[[x^4*(b*x^4+a)*(B*x^4+A),x,2,1/5*a*A*x^5+1/9*(A*b+B*a)*x^9+1/13*b*B*x^13,1],
[x^2*(b*x^4+a)*(B*x^4+A),x,2,1/3*a*A*x^3+1/7*(A*b+B*a)*x^7+1/11*b*B*x^11,1],
[(b*x^4+a)*(B*x^4+A),x,2,a*A*x+1/5*(A*b+B*a)*x^5+1/9*b*B*x^9,1],
[(b*x^4+a)*(B*x^4+A)/x^2,x,2,-a*A/x+1/3*(A*b+B*a)*x^3+1/7*b*B*x^7,1],
[(b*x^4+a)*(B*x^4+A)/x^4,x,2,-1/3*a*A/x^3+(A*b+B*a)*x+1/5*b*B*x^5,1],
[x^4*(b*x^4+a)^2*(B*x^4+A),x,2,1/5*a^2*A*x^5+1/9*a*(2*A*b+B*a)*x^9+1/13*b*(A*b+2*B*a)*x^13+1/17*b^2*B*x^17,1],
[x^2*(b*x^4+a)^2*(B*x^4+A),x,2,1/3*a^2*A*x^3+1/7*a*(2*A*b+B*a)*x^7+1/11*b*(A*b+2*B*a)*x^11+1/15*b^2*B*x^15,1],
[(b*x^4+a)^2*(B*x^4+A),x,2,a^2*A*x+1/5*a*(2*A*b+B*a)*x^5+1/9*b*(A*b+2*B*a)*x^9+1/13*b^2*B*x^13,1],
[(b*x^4+a)^2*(B*x^4+A)/x^2,x,2,-a^2*A/x+1/3*a*(2*A*b+B*a)*x^3+1/7*b*(A*b+2*B*a)*x^7+1/11*b^2*B*x^11,1],
[(b*x^4+a)^2*(B*x^4+A)/x^4,x,2,-1/3*a^2*A/x^3+a*(2*A*b+B*a)*x+1/5*b*(A*b+2*B*a)*x^5+1/9*b^2*B*x^9,1],
[x^4*(B*x^4+A)/(b*x^4+a),x,10,(A*b-B*a)*x/b^2+1/5*B*x^5/b+1/2*a^(1/4)*(A*b-B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(9/4)-1/2*a^(1/4)*(A*b-B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(9/4)-1/2*a^(1/4)*(A*b-B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/b^(9/4),1],
[x^2*(B*x^4+A)/(b*x^4+a),x,10,1/3*B*x^3/b-1/2*(A*b-B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(1/4)/b^(7/4)+1/2*(A*b-B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(1/4)/b^(7/4)-1/2*(A*b-B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(1/4)/b^(7/4),1],
[(B*x^4+A)/(b*x^4+a),x,9,B*x/b-1/2*(A*b-B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/b^(5/4)+1/2*(A*b-B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/b^(5/4)+1/2*(A*b-B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(3/4)/b^(5/4),1],
[(B*x^4+A)/x^2/(b*x^4+a),x,9,-A/a/x+1/2*(A*b-B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(5/4)/b^(3/4)-1/2*(A*b-B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(5/4)/b^(3/4)+1/2*(A*b-B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(5/4)/b^(3/4),1],
[(B*x^4+A)/x^4/(b*x^4+a),x,9,-1/3*A/a/x^3+1/2*(A*b-B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/b^(1/4)-1/2*(A*b-B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/b^(1/4)-1/2*(A*b-B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(7/4)/b^(1/4),1],
[(B*x^4+A)/x^6/(b*x^4+a),x,10,-1/5*A/a/x^5+(A*b-B*a)/a^2/x-1/2*b^(1/4)*(A*b-B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)+1/2*b^(1/4)*(A*b-B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)-1/2*b^(1/4)*(A*b-B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(9/4),1],
[x^8*(B*x^4+A)/(b*x^4+a)^2,x,11,(A*b-2*B*a)*x/b^3+1/5*B*x^5/b^2+1/4*a*(A*b-B*a)*x/b^3/(b*x^4+a)+1/8*a^(1/4)*(5*A*b-9*B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(13/4)-1/8*a^(1/4)*(5*A*b-9*B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(13/4)-1/8*a^(1/4)*(5*A*b-9*B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/b^(13/4),1],
[x^6*(B*x^4+A)/(b*x^4+a)^2,x,11,1/3*B*x^3/b^2-1/4*(A*b-B*a)*x^3/b^2/(b*x^4+a)-1/8*(3*A*b-7*B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(1/4)/b^(11/4)+1/8*(3*A*b-7*B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(1/4)/b^(11/4)-1/8*(3*A*b-7*B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(1/4)/b^(11/4),1],
[x^4*(B*x^4+A)/(b*x^4+a)^2,x,11,B*x/b^2-1/4*(A*b-B*a)*x/b^2/(b*x^4+a)-1/8*(A*b-5*B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/b^(9/4)+1/8*(A*b-5*B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/b^(9/4)+1/8*(A*b-5*B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(3/4)/b^(9/4),1],
[x^2*(B*x^4+A)/(b*x^4+a)^2,x,9,1/4*(A*b-B*a)*x^3/a/b/(b*x^4+a)-1/8*(A*b+3*B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(5/4)/b^(7/4)+1/8*(A*b+3*B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(5/4)/b^(7/4)-1/8*(A*b+3*B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(5/4)/b^(7/4),1],
[(B*x^4+A)/(b*x^4+a)^2,x,9,1/4*(A*b-B*a)*x/a/b/(b*x^4+a)-1/8*(3*A*b+B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/b^(5/4)+1/8*(3*A*b+B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/b^(5/4)+1/8*(3*A*b+B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(7/4)/b^(5/4),1],
[(B*x^4+A)/x^2/(b*x^4+a)^2,x,10,-A/a^2/x-1/4*(A*b-B*a)*x^3/a^2/(b*x^4+a)+1/8*(5*A*b-B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)/b^(3/4)-1/8*(5*A*b-B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)/b^(3/4)+1/8*(5*A*b-B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(9/4)/b^(3/4),1],
[(B*x^4+A)/x^4/(b*x^4+a)^2,x,10,-1/3*A/a^2/x^3-1/4*(A*b-B*a)*x/a^2/(b*x^4+a)+1/8*(7*A*b-3*B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/b^(1/4)-1/8*(7*A*b-3*B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/b^(1/4)-1/8*(7*A*b-3*B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(11/4)/b^(1/4),1],
[(B*x^4+A)/x^6/(b*x^4+a)^2,x,11,-1/5*A/a^2/x^5+(2*A*b-B*a)/a^3/x+1/4*b*(A*b-B*a)*x^3/a^3/(b*x^4+a)-1/8*b^(1/4)*(9*A*b-5*B*a)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(13/4)+1/8*b^(1/4)*(9*A*b-5*B*a)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(13/4)-1/8*b^(1/4)*(9*A*b-5*B*a)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(13/4),1],
[x^8*(d*x^4+c)/sqrt(b*x^4+a),x,4,-5/231*a*(-9*a*d+11*b*c)*x*sqrt(b*x^4+a)/b^3+1/77*(-9*a*d+11*b*c)*x^5*sqrt(b*x^4+a)/b^2+1/11*d*x^9*sqrt(b*x^4+a)/b+5/462*a^(7/4)*(-9*a*d+11*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(13/4)/sqrt(b*x^4+a),1],
[x^4*(d*x^4+c)/sqrt(b*x^4+a),x,3,1/21*(-5*a*d+7*b*c)*x*sqrt(b*x^4+a)/b^2+1/7*d*x^5*sqrt(b*x^4+a)/b-1/42*a^(3/4)*(-5*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(9/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/sqrt(b*x^4+a),x,2,1/3*d*x*sqrt(b*x^4+a)/b+1/6*(-a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(5/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^4/sqrt(b*x^4+a),x,2,-1/3*c*sqrt(b*x^4+a)/a/x^3-1/6*(-3*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/b^(1/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^8/sqrt(b*x^4+a),x,3,-1/7*c*sqrt(b*x^4+a)/a/x^7+1/21*(-7*a*d+5*b*c)*sqrt(b*x^4+a)/a^2/x^3+1/42*b^(3/4)*(-7*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(9/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^12/sqrt(b*x^4+a),x,4,-1/11*c*sqrt(b*x^4+a)/a/x^11+1/77*(-11*a*d+9*b*c)*sqrt(b*x^4+a)/a^2/x^7-5/231*b*(-11*a*d+9*b*c)*sqrt(b*x^4+a)/a^3/x^3-5/462*b^(7/4)*(-11*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(13/4)/sqrt(b*x^4+a),1],
[x^6*(d*x^4+c)/sqrt(b*x^4+a),x,6,1/45*(-7*a*d+9*b*c)*x^3*sqrt(b*x^4+a)/b^2+1/9*d*x^7*sqrt(b*x^4+a)/b-1/15*a*(-7*a*d+9*b*c)*x*sqrt(b*x^4+a)/b^(5/2)/(sqrt(a)+sqrt(b)*x^2)+1/15*a^(5/4)*(-7*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/b^(11/4)/sqrt(b*x^4+a)-1/30*a^(5/4)*(-7*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(11/4)/sqrt(b*x^4+a),1],
[x^2*(d*x^4+c)/sqrt(b*x^4+a),x,5,1/5*d*x^3*sqrt(b*x^4+a)/b+1/5*(-3*a*d+5*b*c)*x*sqrt(b*x^4+a)/b^(3/2)/(sqrt(a)+sqrt(b)*x^2)-1/5*a^(1/4)*(-3*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/b^(7/4)/sqrt(b*x^4+a)+1/10*a^(1/4)*(-3*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(7/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^2/sqrt(b*x^4+a),x,5,-c*sqrt(b*x^4+a)/a/x+(a*d+b*c)*x*sqrt(b*x^4+a)/a/sqrt(b)/(sqrt(a)+sqrt(b)*x^2)-(a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/b^(3/4)/sqrt(b*x^4+a)+1/2*(a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(3/4)/b^(3/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^6/sqrt(b*x^4+a),x,6,-1/5*c*sqrt(b*x^4+a)/a/x^5+1/5*(-5*a*d+3*b*c)*sqrt(b*x^4+a)/a^2/x-1/5*sqrt(b)*(-5*a*d+3*b*c)*x*sqrt(b*x^4+a)/a^2/(sqrt(a)+sqrt(b)*x^2)+1/5*b^(1/4)*(-5*a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(7/4)/sqrt(b*x^4+a)-1/10*b^(1/4)*(-5*a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(7/4)/sqrt(b*x^4+a),1],
[x^8*(d*x^4+c)/(b*x^4+a)^(3/2),x,4,1/2*a*(-a*d+b*c)*x/b^3/sqrt(b*x^4+a)+1/21*(-12*a*d+7*b*c)*x*sqrt(b*x^4+a)/b^3+1/7*d*x^5*sqrt(b*x^4+a)/b^2-5/84*a^(3/4)*(-9*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(13/4)/sqrt(b*x^4+a),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(3/2),x,3,-1/2*(-a*d+b*c)*x/b^2/sqrt(b*x^4+a)+1/3*d*x*sqrt(b*x^4+a)/b^2+1/12*(-5*a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(9/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/(b*x^4+a)^(3/2),x,2,1/2*(-a*d+b*c)*x/a/b/sqrt(b*x^4+a)+1/4*(a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/b^(5/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(3/2),x,3,-1/3*c/a/x^3/sqrt(b*x^4+a)-1/6*(-3*a*d+5*b*c)*x/a^2/sqrt(b*x^4+a)-1/12*(-3*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(9/4)/b^(1/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(3/2),x,4,-1/7*c/a/x^7/sqrt(b*x^4+a)-1/14*(-7*a*d+9*b*c)/a^2/x^3/sqrt(b*x^4+a)+5/42*(-7*a*d+9*b*c)*sqrt(b*x^4+a)/a^3/x^3+5/84*b^(3/4)*(-7*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(13/4)/sqrt(b*x^4+a),1],
[x^10*(d*x^4+c)/(b*x^4+a)^(3/2),x,7,-1/2*(-a*d+b*c)*x^7/b^2/sqrt(b*x^4+a)+7/90*(-11*a*d+9*b*c)*x^3*sqrt(b*x^4+a)/b^3+1/9*d*x^7*sqrt(b*x^4+a)/b^2-7/30*a*(-11*a*d+9*b*c)*x*sqrt(b*x^4+a)/b^(7/2)/(sqrt(a)+sqrt(b)*x^2)+7/30*a^(5/4)*(-11*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/b^(15/4)/sqrt(b*x^4+a)-7/60*a^(5/4)*(-11*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(15/4)/sqrt(b*x^4+a),1],
[x^6*(d*x^4+c)/(b*x^4+a)^(3/2),x,6,-1/2*(-a*d+b*c)*x^3/b^2/sqrt(b*x^4+a)+1/5*d*x^3*sqrt(b*x^4+a)/b^2+3/10*(-7*a*d+5*b*c)*x*sqrt(b*x^4+a)/b^(5/2)/(sqrt(a)+sqrt(b)*x^2)-3/10*a^(1/4)*(-7*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/b^(11/4)/sqrt(b*x^4+a)+3/20*a^(1/4)*(-7*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(11/4)/sqrt(b*x^4+a),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(3/2),x,5,1/2*(-a*d+b*c)*x^3/a/b/sqrt(b*x^4+a)-1/2*(-3*a*d+b*c)*x*sqrt(b*x^4+a)/a/b^(3/2)/(sqrt(a)+sqrt(b)*x^2)+1/2*(-3*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/b^(7/4)/sqrt(b*x^4+a)-1/4*(-3*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(3/4)/b^(7/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(3/2),x,6,-c/a/x/sqrt(b*x^4+a)-1/2*(-a*d+3*b*c)*x^3/a^2/sqrt(b*x^4+a)+1/2*(-a*d+3*b*c)*x*sqrt(b*x^4+a)/a^2/sqrt(b)/(sqrt(a)+sqrt(b)*x^2)-1/2*(-a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(7/4)/b^(3/4)/sqrt(b*x^4+a)+1/4*(-a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(7/4)/b^(3/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(3/2),x,7,-1/5*c/a/x^5/sqrt(b*x^4+a)-1/10*(-5*a*d+7*b*c)/a^2/x/sqrt(b*x^4+a)+3/10*(-5*a*d+7*b*c)*sqrt(b*x^4+a)/a^3/x-3/10*sqrt(b)*(-5*a*d+7*b*c)*x*sqrt(b*x^4+a)/a^3/(sqrt(a)+sqrt(b)*x^2)+3/10*b^(1/4)*(-5*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(11/4)/sqrt(b*x^4+a)-3/20*b^(1/4)*(-5*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(11/4)/sqrt(b*x^4+a),1],
[x^12*(d*x^4+c)/(b*x^4+a)^(5/2),x,5,-1/6*a^2*(-a*d+b*c)*x/b^4/(b*x^4+a)^(3/2)+1/12*a*(-19*a*d+13*b*c)*x/b^4/sqrt(b*x^4+a)+1/21*(-19*a*d+7*b*c)*x*sqrt(b*x^4+a)/b^4+1/7*d*x^5*sqrt(b*x^4+a)/b^3-5/56*a^(3/4)*(-13*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(17/4)/sqrt(b*x^4+a),1],
[x^8*(d*x^4+c)/(b*x^4+a)^(5/2),x,4,1/6*a*(-a*d+b*c)*x/b^3/(b*x^4+a)^(3/2)-1/12*(-13*a*d+7*b*c)*x/b^3/sqrt(b*x^4+a)+1/3*d*x*sqrt(b*x^4+a)/b^3+5/24*(-3*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(13/4)/sqrt(b*x^4+a),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(5/2),x,3,-1/6*(-a*d+b*c)*x/b^2/(b*x^4+a)^(3/2)+1/12*(-7*a*d+b*c)*x/a/b^2/sqrt(b*x^4+a)+1/24*(5*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/b^(9/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/(b*x^4+a)^(5/2),x,3,1/6*(-a*d+b*c)*x/a/b/(b*x^4+a)^(3/2)+1/12*(a*d+5*b*c)*x/a^2/b/sqrt(b*x^4+a)+1/24*(a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(9/4)/b^(5/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(5/2),x,4,-1/3*c/a/x^3/(b*x^4+a)^(3/2)-1/6*(-a*d+3*b*c)*x/a^2/(b*x^4+a)^(3/2)-5/12*(-a*d+3*b*c)*x/a^3/sqrt(b*x^4+a)-5/24*(-a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(13/4)/b^(1/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(5/2),x,5,-1/7*c/a/x^7/(b*x^4+a)^(3/2)-1/42*(-7*a*d+13*b*c)/a^2/x^3/(b*x^4+a)^(3/2)-3/28*(-7*a*d+13*b*c)/a^3/x^3/sqrt(b*x^4+a)+5/28*(-7*a*d+13*b*c)*sqrt(b*x^4+a)/a^4/x^3+5/56*b^(3/4)*(-7*a*d+13*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(17/4)/sqrt(b*x^4+a),1],
[x^10*(d*x^4+c)/(b*x^4+a)^(5/2),x,7,-1/6*(-a*d+b*c)*x^7/b^2/(b*x^4+a)^(3/2)-1/12*(-13*a*d+7*b*c)*x^3/b^3/sqrt(b*x^4+a)+1/5*d*x^3*sqrt(b*x^4+a)/b^3+7/20*(-11*a*d+5*b*c)*x*sqrt(b*x^4+a)/b^(7/2)/(sqrt(a)+sqrt(b)*x^2)-7/20*a^(1/4)*(-11*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/b^(15/4)/sqrt(b*x^4+a)+7/40*a^(1/4)*(-11*a*d+5*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(15/4)/sqrt(b*x^4+a),1],
[x^6*(d*x^4+c)/(b*x^4+a)^(5/2),x,6,-1/6*(-a*d+b*c)*x^3/b^2/(b*x^4+a)^(3/2)+1/4*(-3*a*d+b*c)*x^3/a/b^2/sqrt(b*x^4+a)-1/4*(-7*a*d+b*c)*x*sqrt(b*x^4+a)/a/b^(5/2)/(sqrt(a)+sqrt(b)*x^2)+1/4*(-7*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/b^(11/4)/sqrt(b*x^4+a)-1/8*(-7*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(3/4)/b^(11/4)/sqrt(b*x^4+a),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(5/2),x,6,1/6*(-a*d+b*c)*x^3/a/b/(b*x^4+a)^(3/2)+1/4*(a*d+b*c)*x^3/a^2/b/sqrt(b*x^4+a)-1/4*(a*d+b*c)*x*sqrt(b*x^4+a)/a^2/b^(3/2)/(sqrt(a)+sqrt(b)*x^2)+1/4*(a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(7/4)/b^(7/4)/sqrt(b*x^4+a)-1/8*(a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(7/4)/b^(7/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(5/2),x,7,-c/a/x/(b*x^4+a)^(3/2)-1/6*(-a*d+7*b*c)*x^3/a^2/(b*x^4+a)^(3/2)-1/4*(-a*d+7*b*c)*x^3/a^3/sqrt(b*x^4+a)+1/4*(-a*d+7*b*c)*x*sqrt(b*x^4+a)/a^3/sqrt(b)/(sqrt(a)+sqrt(b)*x^2)-1/4*(-a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(11/4)/b^(3/4)/sqrt(b*x^4+a)+1/8*(-a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(11/4)/b^(3/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(5/2),x,8,-1/5*c/a/x^5/(b*x^4+a)^(3/2)-1/30*(-5*a*d+11*b*c)/a^2/x/(b*x^4+a)^(3/2)-7/60*(-5*a*d+11*b*c)/a^3/x/sqrt(b*x^4+a)+7/20*(-5*a*d+11*b*c)*sqrt(b*x^4+a)/a^4/x-7/20*sqrt(b)*(-5*a*d+11*b*c)*x*sqrt(b*x^4+a)/a^4/(sqrt(a)+sqrt(b)*x^2)+7/20*b^(1/4)*(-5*a*d+11*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(15/4)/sqrt(b*x^4+a)-7/40*b^(1/4)*(-5*a*d+11*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(15/4)/sqrt(b*x^4+a),1],
[x^16*(d*x^4+c)/(b*x^4+a)^(7/2),x,6,1/10*a^3*(-a*d+b*c)*x/b^5/(b*x^4+a)^(5/2)-1/60*a^2*(-41*a*d+31*b*c)*x/b^5/(b*x^4+a)^(3/2)+1/24*a*(-79*a*d+41*b*c)*x/b^5/sqrt(b*x^4+a)+1/21*(-26*a*d+7*b*c)*x*sqrt(b*x^4+a)/b^5+1/7*d*x^5*sqrt(b*x^4+a)/b^4-13/112*a^(3/4)*(-17*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(21/4)/sqrt(b*x^4+a),1],
[x^12*(d*x^4+c)/(b*x^4+a)^(7/2),x,5,-1/10*a^2*(-a*d+b*c)*x/b^4/(b*x^4+a)^(5/2)+1/60*a*(-31*a*d+21*b*c)*x/b^4/(b*x^4+a)^(3/2)-1/24*(-41*a*d+15*b*c)*x/b^4/sqrt(b*x^4+a)+1/3*d*x*sqrt(b*x^4+a)/b^4+1/16*(-13*a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(17/4)/sqrt(b*x^4+a),1],
[x^8*(d*x^4+c)/(b*x^4+a)^(7/2),x,4,1/10*a*(-a*d+b*c)*x/b^3/(b*x^4+a)^(5/2)-1/60*(-21*a*d+11*b*c)*x/b^3/(b*x^4+a)^(3/2)+1/24*(-15*a*d+b*c)*x/a/b^3/sqrt(b*x^4+a)+1/48*(9*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/b^(13/4)/sqrt(b*x^4+a),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(7/2),x,4,-1/10*(-a*d+b*c)*x/b^2/(b*x^4+a)^(5/2)+1/60*(-11*a*d+b*c)*x/a/b^2/(b*x^4+a)^(3/2)+1/24*(a*d+b*c)*x/a^2/b^2/sqrt(b*x^4+a)+1/48*(a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(9/4)/b^(9/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/(b*x^4+a)^(7/2),x,4,1/10*(-a*d+b*c)*x/a/b/(b*x^4+a)^(5/2)+1/60*(a*d+9*b*c)*x/a^2/b/(b*x^4+a)^(3/2)+1/24*(a*d+9*b*c)*x/a^3/b/sqrt(b*x^4+a)+1/48*(a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(13/4)/b^(5/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(7/2),x,5,-1/3*c/a/x^3/(b*x^4+a)^(5/2)-1/30*(-3*a*d+13*b*c)*x/a^2/(b*x^4+a)^(5/2)-1/20*(-3*a*d+13*b*c)*x/a^3/(b*x^4+a)^(3/2)-1/8*(-3*a*d+13*b*c)*x/a^4/sqrt(b*x^4+a)-1/16*(-3*a*d+13*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(17/4)/b^(1/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(7/2),x,6,-1/7*c/a/x^7/(b*x^4+a)^(5/2)-1/70*(-7*a*d+17*b*c)/a^2/x^3/(b*x^4+a)^(5/2)-13/420*(-7*a*d+17*b*c)/a^3/x^3/(b*x^4+a)^(3/2)-39/280*(-7*a*d+17*b*c)/a^4/x^3/sqrt(b*x^4+a)+13/56*(-7*a*d+17*b*c)*sqrt(b*x^4+a)/a^5/x^3+13/112*b^(3/4)*(-7*a*d+17*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(21/4)/sqrt(b*x^4+a),1],
[x^18*(d*x^4+c)/(b*x^4+a)^(7/2),x,9,-1/10*(-a*d+b*c)*x^15/b^2/(b*x^4+a)^(5/2)-1/12*(-5*a*d+3*b*c)*x^11/b^3/(b*x^4+a)^(3/2)-1/24*(-67*a*d+33*b*c)*x^7/b^4/sqrt(b*x^4+a)+77/360*(-19*a*d+9*b*c)*x^3*sqrt(b*x^4+a)/b^5+1/9*d*x^7*sqrt(b*x^4+a)/b^4-77/120*a*(-19*a*d+9*b*c)*x*sqrt(b*x^4+a)/b^(11/2)/(sqrt(a)+sqrt(b)*x^2)+77/120*a^(5/4)*(-19*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/b^(23/4)/sqrt(b*x^4+a)-77/240*a^(5/4)*(-19*a*d+9*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(23/4)/sqrt(b*x^4+a),1],
[x^14*(d*x^4+c)/(b*x^4+a)^(7/2),x,8,-1/10*(-a*d+b*c)*x^11/b^2/(b*x^4+a)^(5/2)-1/60*(-21*a*d+11*b*c)*x^7/b^3/(b*x^4+a)^(3/2)-1/120*(-207*a*d+77*b*c)*x^3/b^4/sqrt(b*x^4+a)+1/5*d*x^3*sqrt(b*x^4+a)/b^4+77/40*(-3*a*d+b*c)*x*sqrt(b*x^4+a)/b^(9/2)/(sqrt(a)+sqrt(b)*x^2)-77/40*a^(1/4)*(-3*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/b^(19/4)/sqrt(b*x^4+a)+77/80*a^(1/4)*(-3*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/b^(19/4)/sqrt(b*x^4+a),1],
[x^10*(d*x^4+c)/(b*x^4+a)^(7/2),x,7,-1/10*(-a*d+b*c)*x^7/b^2/(b*x^4+a)^(5/2)-1/60*(-17*a*d+7*b*c)*x^3/b^3/(b*x^4+a)^(3/2)+1/40*(-37*a*d+7*b*c)*x^3/a/b^3/sqrt(b*x^4+a)-7/40*(-11*a*d+b*c)*x*sqrt(b*x^4+a)/a/b^(7/2)/(sqrt(a)+sqrt(b)*x^2)+7/40*(-11*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/b^(15/4)/sqrt(b*x^4+a)-7/80*(-11*a*d+b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(3/4)/b^(15/4)/sqrt(b*x^4+a),1],
[x^6*(d*x^4+c)/(b*x^4+a)^(7/2),x,7,-1/10*(-a*d+b*c)*x^3/b^2/(b*x^4+a)^(5/2)+1/60*(-13*a*d+3*b*c)*x^3/a/b^2/(b*x^4+a)^(3/2)+1/40*(7*a*d+3*b*c)*x^3/a^2/b^2/sqrt(b*x^4+a)-1/40*(7*a*d+3*b*c)*x*sqrt(b*x^4+a)/a^2/b^(5/2)/(sqrt(a)+sqrt(b)*x^2)+1/40*(7*a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(7/4)/b^(11/4)/sqrt(b*x^4+a)-1/80*(7*a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(7/4)/b^(11/4)/sqrt(b*x^4+a),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(7/2),x,7,1/10*(-a*d+b*c)*x^3/a/b/(b*x^4+a)^(5/2)+1/60*(3*a*d+7*b*c)*x^3/a^2/b/(b*x^4+a)^(3/2)+1/40*(3*a*d+7*b*c)*x^3/a^3/b/sqrt(b*x^4+a)-1/40*(3*a*d+7*b*c)*x*sqrt(b*x^4+a)/a^3/b^(3/2)/(sqrt(a)+sqrt(b)*x^2)+1/40*(3*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(11/4)/b^(7/4)/sqrt(b*x^4+a)-1/80*(3*a*d+7*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(11/4)/b^(7/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(7/2),x,8,-c/a/x/(b*x^4+a)^(5/2)-1/10*(-a*d+11*b*c)*x^3/a^2/(b*x^4+a)^(5/2)-7/60*(-a*d+11*b*c)*x^3/a^3/(b*x^4+a)^(3/2)-7/40*(-a*d+11*b*c)*x^3/a^4/sqrt(b*x^4+a)+7/40*(-a*d+11*b*c)*x*sqrt(b*x^4+a)/a^4/sqrt(b)/(sqrt(a)+sqrt(b)*x^2)-7/40*(-a*d+11*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(15/4)/b^(3/4)/sqrt(b*x^4+a)+7/80*(-a*d+11*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(15/4)/b^(3/4)/sqrt(b*x^4+a),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(7/2),x,9,-1/5*c/a/x^5/(b*x^4+a)^(5/2)-1/10*(-a*d+3*b*c)/a^2/x/(b*x^4+a)^(5/2)-11/60*(-a*d+3*b*c)/a^3/x/(b*x^4+a)^(3/2)-77/120*(-a*d+3*b*c)/a^4/x/sqrt(b*x^4+a)+77/40*(-a*d+3*b*c)*sqrt(b*x^4+a)/a^5/x-77/40*sqrt(b)*(-a*d+3*b*c)*x*sqrt(b*x^4+a)/a^5/(sqrt(a)+sqrt(b)*x^2)+77/40*b^(1/4)*(-a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(19/4)/sqrt(b*x^4+a)-77/80*b^(1/4)*(-a*d+3*b*c)*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(19/4)/sqrt(b*x^4+a),1],
[x^11*(d*x^4+c)/(b*x^4+a)^(1/4),x,3,1/3*a^2*(-a*d+b*c)*(b*x^4+a)^(3/4)/b^4-1/7*a*(-3*a*d+2*b*c)*(b*x^4+a)^(7/4)/b^4+1/11*(-3*a*d+b*c)*(b*x^4+a)^(11/4)/b^4+1/15*d*(b*x^4+a)^(15/4)/b^4,1],
[x^7*(d*x^4+c)/(b*x^4+a)^(1/4),x,3,-1/3*a*(-a*d+b*c)*(b*x^4+a)^(3/4)/b^3+1/7*(-2*a*d+b*c)*(b*x^4+a)^(7/4)/b^3+1/11*d*(b*x^4+a)^(11/4)/b^3,1],
[x^3*(d*x^4+c)/(b*x^4+a)^(1/4),x,3,1/3*(-a*d+b*c)*(b*x^4+a)^(3/4)/b^2+1/7*d*(b*x^4+a)^(7/4)/b^2,1],
[(d*x^4+c)/x/(b*x^4+a)^(1/4),x,6,1/3*d*(b*x^4+a)^(3/4)/b+1/2*c*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(1/4)-1/2*c*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(1/4),1],
[(d*x^4+c)/x^5/(b*x^4+a)^(1/4),x,6,-1/4*c*(b*x^4+a)^(3/4)/a/x^4-1/8*(-4*a*d+b*c)*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(5/4)+1/8*(-4*a*d+b*c)*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(5/4),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(1/4),x,6,1/32*(-5*a*d+8*b*c)*x*(b*x^4+a)^(3/4)/b^2+1/8*d*x^5*(b*x^4+a)^(3/4)/b-1/64*a*(-5*a*d+8*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(9/4)-1/64*a*(-5*a*d+8*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(9/4),1],
[(d*x^4+c)/(b*x^4+a)^(1/4),x,5,1/4*d*x*(b*x^4+a)^(3/4)/b+1/8*(-a*d+4*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(5/4)+1/8*(-a*d+4*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(5/4),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(1/4),x,5,-1/3*c*(b*x^4+a)^(3/4)/a/x^3+1/2*d*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(1/4)+1/2*d*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(1/4),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(1/4),x,2,-1/7*c*(b*x^4+a)^(3/4)/a/x^7+1/21*(-7*a*d+4*b*c)*(b*x^4+a)^(3/4)/a^2/x^3,1],
[(d*x^4+c)/x^12/(b*x^4+a)^(1/4),x,3,-1/11*c*(b*x^4+a)^(3/4)/a/x^11+1/77*(-11*a*d+8*b*c)*(b*x^4+a)^(3/4)/a^2/x^7-4/231*b*(-11*a*d+8*b*c)*(b*x^4+a)^(3/4)/a^3/x^3,1],
[(d*x^4+c)/x^16/(b*x^4+a)^(1/4),x,4,-1/15*c*(b*x^4+a)^(3/4)/a/x^15+1/55*(-5*a*d+4*b*c)*(b*x^4+a)^(3/4)/a^2/x^11-8/385*b*(-5*a*d+4*b*c)*(b*x^4+a)^(3/4)/a^3/x^7+32/1155*b^2*(-5*a*d+4*b*c)*(b*x^4+a)^(3/4)/a^4/x^3,1],
[x^6*(d*x^4+c)/(b*x^4+a)^(1/4),x,5,-1/40*a*(-7*a*d+10*b*c)*x^3/b^2/(b*x^4+a)^(1/4)+1/60*(-7*a*d+10*b*c)*x^3*(b*x^4+a)^(3/4)/b^2+1/10*d*x^7*(b*x^4+a)^(3/4)/b-1/40*a^(3/2)*(-7*a*d+10*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(5/2)/(b*x^4+a)^(1/4),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(1/4),x,4,1/4*(-a*d+2*b*c)*x^3/b/(b*x^4+a)^(1/4)+1/6*d*x^3*(b*x^4+a)^(3/4)/b+1/4*sqrt(a)*(-a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(1/4),x,4,1/2*(a*d+2*b*c)*x^3/a/(b*x^4+a)^(1/4)-c*(b*x^4+a)^(3/4)/a/x+1/2*(a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(1/4),x,4,1/5*(-5*a*d+2*b*c)/a/x/(b*x^4+a)^(1/4)-1/5*c*(b*x^4+a)^(3/4)/a/x^5-1/5*sqrt(b)*(-5*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/(b*x^4+a)^(1/4),1],
[x^5*(d*x^4+c)/(b*x^4+a)^(1/4),x,6,-2/15*a*(-2*a*d+3*b*c)*x^2/b^2/(b*x^4+a)^(1/4)+1/15*(-2*a*d+3*b*c)*x^2*(b*x^4+a)^(3/4)/b^2+1/9*d*x^6*(b*x^4+a)^(3/4)/b+2/15*a^(3/2)*(-2*a*d+3*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(5/2)/(b*x^4+a)^(1/4),1],
[x*(d*x^4+c)/(b*x^4+a)^(1/4),x,5,1/5*(-2*a*d+5*b*c)*x^2/b/(b*x^4+a)^(1/4)+1/5*d*x^2*(b*x^4+a)^(3/4)/b-1/5*sqrt(a)*(-2*a*d+5*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^3/(b*x^4+a)^(1/4),x,5,1/2*(2*a*d+b*c)*x^2/a/(b*x^4+a)^(1/4)-1/2*c*(b*x^4+a)^(3/4)/a/x^2-1/2*(2*a*d+b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^7/(b*x^4+a)^(1/4),x,6,-1/4*b*(-2*a*d+b*c)*x^2/a^2/(b*x^4+a)^(1/4)-1/6*c*(b*x^4+a)^(3/4)/a/x^6+1/4*(-2*a*d+b*c)*(b*x^4+a)^(3/4)/a^2/x^2+1/4*sqrt(b)*(-2*a*d+b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/(b*x^4+a)^(1/4),1],
[x^11*(d*x^4+c)/(b*x^4+a)^(3/4),x,3,a^2*(-a*d+b*c)*(b*x^4+a)^(1/4)/b^4-1/5*a*(-3*a*d+2*b*c)*(b*x^4+a)^(5/4)/b^4+1/9*(-3*a*d+b*c)*(b*x^4+a)^(9/4)/b^4+1/13*d*(b*x^4+a)^(13/4)/b^4,1],
[x^7*(d*x^4+c)/(b*x^4+a)^(3/4),x,3,-a*(-a*d+b*c)*(b*x^4+a)^(1/4)/b^3+1/5*(-2*a*d+b*c)*(b*x^4+a)^(5/4)/b^3+1/9*d*(b*x^4+a)^(9/4)/b^3,1],
[x^3*(d*x^4+c)/(b*x^4+a)^(3/4),x,3,(-a*d+b*c)*(b*x^4+a)^(1/4)/b^2+1/5*d*(b*x^4+a)^(5/4)/b^2,1],
[(d*x^4+c)/x/(b*x^4+a)^(3/4),x,6,d*(b*x^4+a)^(1/4)/b-1/2*c*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(3/4)-1/2*c*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(3/4),1],
[(d*x^4+c)/x^5/(b*x^4+a)^(3/4),x,6,-1/4*c*(b*x^4+a)^(1/4)/a/x^4+1/8*(-4*a*d+3*b*c)*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(7/4)+1/8*(-4*a*d+3*b*c)*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(7/4),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(3/4),x,5,1/4*d*x^3*(b*x^4+a)^(1/4)/b-1/8*(-3*a*d+4*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(7/4)+1/8*(-3*a*d+4*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(7/4),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(3/4),x,5,-c*(b*x^4+a)^(1/4)/a/x-1/2*d*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(3/4)+1/2*d*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(3/4),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(3/4),x,2,-1/5*c*(b*x^4+a)^(1/4)/a/x^5+1/5*(-5*a*d+4*b*c)*(b*x^4+a)^(1/4)/a^2/x,1],
[(d*x^4+c)/x^10/(b*x^4+a)^(3/4),x,3,-1/9*c*(b*x^4+a)^(1/4)/a/x^9+1/45*(-9*a*d+8*b*c)*(b*x^4+a)^(1/4)/a^2/x^5-4/45*b*(-9*a*d+8*b*c)*(b*x^4+a)^(1/4)/a^3/x,1],
[(d*x^4+c)/x^14/(b*x^4+a)^(3/4),x,4,-1/13*c*(b*x^4+a)^(1/4)/a/x^13+1/117*(-13*a*d+12*b*c)*(b*x^4+a)^(1/4)/a^2/x^9-8/585*b*(-13*a*d+12*b*c)*(b*x^4+a)^(1/4)/a^3/x^5+32/585*b^2*(-13*a*d+12*b*c)*(b*x^4+a)^(1/4)/a^4/x,1],
[x^5*(d*x^4+c)/(b*x^4+a)^(3/4),x,5,1/21*(-6*a*d+7*b*c)*x^2*(b*x^4+a)^(1/4)/b^2+1/7*d*x^6*(b*x^4+a)^(1/4)/b-2/21*a^(3/2)*(-6*a*d+7*b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/b^(5/2)/(b*x^4+a)^(3/4),1],
[x*(d*x^4+c)/(b*x^4+a)^(3/4),x,4,1/3*d*x^2*(b*x^4+a)^(1/4)/b+1/3*sqrt(a)*(-2*a*d+3*b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/b^(3/2)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^3/(b*x^4+a)^(3/4),x,4,-1/2*c*(b*x^4+a)^(1/4)/a/x^2-1/2*(-2*a*d+b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/sqrt(a)/sqrt(b)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^7/(b*x^4+a)^(3/4),x,5,-1/6*c*(b*x^4+a)^(1/4)/a/x^6+1/12*(-6*a*d+5*b*c)*(b*x^4+a)^(1/4)/a^2/x^2+1/12*sqrt(b)*(-6*a*d+5*b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(3/2)/(b*x^4+a)^(3/4),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(3/4),x,4,1/12*(-5*a*d+6*b*c)*x*(b*x^4+a)^(1/4)/b^2+1/6*d*x^5*(b*x^4+a)^(1/4)/b+1/12*sqrt(a)*(-5*a*d+6*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/b^(3/2)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/(b*x^4+a)^(3/4),x,3,1/2*d*x*(b*x^4+a)^(1/4)/b-1/2*(-a*d+2*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/sqrt(a)/sqrt(b)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(3/4),x,3,-1/3*c*(b*x^4+a)^(1/4)/a/x^3+1/3*sqrt(b)*(-3*a*d+2*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(3/2)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(3/4),x,4,-1/7*c*(b*x^4+a)^(1/4)/a/x^7+1/21*(-7*a*d+6*b*c)*(b*x^4+a)^(1/4)/a^2/x^3-2/21*b^(3/2)*(-7*a*d+6*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(5/2)/(b*x^4+a)^(3/4),1],
[x^11*(d*x^4+c)/(b*x^4+a)^(5/4),x,3,-a^2*(-a*d+b*c)/b^4/(b*x^4+a)^(1/4)-1/3*a*(-3*a*d+2*b*c)*(b*x^4+a)^(3/4)/b^4+1/7*(-3*a*d+b*c)*(b*x^4+a)^(7/4)/b^4+1/11*d*(b*x^4+a)^(11/4)/b^4,1],
[x^7*(d*x^4+c)/(b*x^4+a)^(5/4),x,3,a*(-a*d+b*c)/b^3/(b*x^4+a)^(1/4)+1/3*(-2*a*d+b*c)*(b*x^4+a)^(3/4)/b^3+1/7*d*(b*x^4+a)^(7/4)/b^3,1],
[x^3*(d*x^4+c)/(b*x^4+a)^(5/4),x,3,-(-a*d+b*c)/b^2/(b*x^4+a)^(1/4)+1/3*d*(b*x^4+a)^(3/4)/b^2,1],
[(d*x^4+c)/x/(b*x^4+a)^(5/4),x,6,(-a*d+b*c)/a/b/(b*x^4+a)^(1/4)+1/2*c*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(5/4)-1/2*c*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(5/4),1],
[(d*x^4+c)/x^5/(b*x^4+a)^(5/4),x,7,-(-a*d+b*c)/a^2/(b*x^4+a)^(1/4)-1/4*c*(b*x^4+a)^(3/4)/a^2/x^4-1/8*(-4*a*d+5*b*c)*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(9/4)+1/8*(-4*a*d+5*b*c)*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(9/4),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(5/4),x,6,-1/4*(-5*a*d+4*b*c)*x/b^2/(b*x^4+a)^(1/4)+1/4*d*x^5/b/(b*x^4+a)^(1/4)+1/8*(-5*a*d+4*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(9/4)+1/8*(-5*a*d+4*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(9/4),1],
[(d*x^4+c)/(b*x^4+a)^(5/4),x,5,(-a*d+b*c)*x/a/b/(b*x^4+a)^(1/4)+1/2*d*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(5/4)+1/2*d*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(5/4),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(5/4),x,2,-1/3*c/a/x^3/(b*x^4+a)^(1/4)-1/3*(-3*a*d+4*b*c)*x/a^2/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(5/4),x,3,-1/7*c/a/x^7/(b*x^4+a)^(1/4)-1/7*(-7*a*d+8*b*c)/a^2/x^3/(b*x^4+a)^(1/4)+4/21*(-7*a*d+8*b*c)*(b*x^4+a)^(3/4)/a^3/x^3,1],
[(d*x^4+c)/x^12/(b*x^4+a)^(5/4),x,4,-1/11*c/a/x^11/(b*x^4+a)^(1/4)-1/11*(-11*a*d+12*b*c)/a^2/x^7/(b*x^4+a)^(1/4)+8/77*(-11*a*d+12*b*c)*(b*x^4+a)^(3/4)/a^3/x^7-32/231*b*(-11*a*d+12*b*c)*(b*x^4+a)^(3/4)/a^4/x^3,1],
[x^6*(d*x^4+c)/(b*x^4+a)^(5/4),x,4,1/12*(-7*a*d+6*b*c)*x^3/b^2/(b*x^4+a)^(1/4)+1/6*d*x^7/b/(b*x^4+a)^(1/4)+1/4*sqrt(a)*(-7*a*d+6*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(5/2)/(b*x^4+a)^(1/4),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(5/4),x,3,1/2*d*x^3/b/(b*x^4+a)^(1/4)-1/2*(-3*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(5/4),x,3,-c/a/x/(b*x^4+a)^(1/4)+(-a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(5/4),x,4,-1/5*c/a/x^5/(b*x^4+a)^(1/4)+1/5*(-5*a*d+6*b*c)/a^2/x/(b*x^4+a)^(1/4)-2/5*sqrt(b)*(-5*a*d+6*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(5/2)/(b*x^4+a)^(1/4),1],
[x^5*(d*x^4+c)/(b*x^4+a)^(5/4),x,5,1/5*(-6*a*d+5*b*c)*x^2/b^2/(b*x^4+a)^(1/4)+1/5*d*x^6/b/(b*x^4+a)^(1/4)-2/5*sqrt(a)*(-6*a*d+5*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(5/2)/(b*x^4+a)^(1/4),1],
[x*(d*x^4+c)/(b*x^4+a)^(5/4),x,4,d*x^2/b/(b*x^4+a)^(1/4)+(-2*a*d+b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^3/(b*x^4+a)^(5/4),x,4,-1/2*c/a/x^2/(b*x^4+a)^(1/4)-1/2*(-2*a*d+3*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^7/(b*x^4+a)^(5/4),x,5,-1/6*c/a/x^6/(b*x^4+a)^(1/4)+1/12*(-6*a*d+7*b*c)/a^2/x^2/(b*x^4+a)^(1/4)+1/4*sqrt(b)*(-6*a*d+7*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(5/2)/(b*x^4+a)^(1/4),1],
[x^11*(d*x^4+c)/(b*x^4+a)^(7/4),x,3,-1/3*a^2*(-a*d+b*c)/b^4/(b*x^4+a)^(3/4)-a*(-3*a*d+2*b*c)*(b*x^4+a)^(1/4)/b^4+1/5*(-3*a*d+b*c)*(b*x^4+a)^(5/4)/b^4+1/9*d*(b*x^4+a)^(9/4)/b^4,1],
[x^7*(d*x^4+c)/(b*x^4+a)^(7/4),x,3,1/3*a*(-a*d+b*c)/b^3/(b*x^4+a)^(3/4)+(-2*a*d+b*c)*(b*x^4+a)^(1/4)/b^3+1/5*d*(b*x^4+a)^(5/4)/b^3,1],
[x^3*(d*x^4+c)/(b*x^4+a)^(7/4),x,3,1/3*(a*d-b*c)/b^2/(b*x^4+a)^(3/4)+d*(b*x^4+a)^(1/4)/b^2,1],
[(d*x^4+c)/x/(b*x^4+a)^(7/4),x,6,1/3*(-a*d+b*c)/a/b/(b*x^4+a)^(3/4)-1/2*c*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(7/4)-1/2*c*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(7/4),1],
[(d*x^4+c)/x^5/(b*x^4+a)^(7/4),x,7,-1/3*(-a*d+b*c)/a^2/(b*x^4+a)^(3/4)-1/4*c*(b*x^4+a)^(1/4)/a^2/x^4+1/8*(-4*a*d+7*b*c)*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(11/4)+1/8*(-4*a*d+7*b*c)*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(11/4),1],
[x^6*(d*x^4+c)/(b*x^4+a)^(7/4),x,6,-1/3*(-a*d+b*c)*x^3/b^2/(b*x^4+a)^(3/4)+1/4*d*x^3*(b*x^4+a)^(1/4)/b^2-1/8*(-7*a*d+4*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(11/4)+1/8*(-7*a*d+4*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(11/4),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(7/4),x,5,1/3*(-a*d+b*c)*x^3/a/b/(b*x^4+a)^(3/4)-1/2*d*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(7/4)+1/2*d*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(7/4),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(7/4),x,2,-c/a/x/(b*x^4+a)^(3/4)-1/3*(-a*d+4*b*c)*x^3/a^2/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(7/4),x,3,-1/5*c/a/x^5/(b*x^4+a)^(3/4)-1/15*(-5*a*d+8*b*c)/a^2/x/(b*x^4+a)^(3/4)+4/15*(-5*a*d+8*b*c)*(b*x^4+a)^(1/4)/a^3/x,1],
[(d*x^4+c)/x^10/(b*x^4+a)^(7/4),x,4,-1/9*c/a/x^9/(b*x^4+a)^(3/4)-1/9*(-3*a*d+4*b*c)/a^2/x^5/(b*x^4+a)^(3/4)+8/45*(-3*a*d+4*b*c)*(b*x^4+a)^(1/4)/a^3/x^5-32/45*b*(-3*a*d+4*b*c)*(b*x^4+a)^(1/4)/a^4/x,1],
[x^9*(d*x^4+c)/(b*x^4+a)^(7/4),x,6,1/3*a*(-a*d+b*c)*x^2/b^3/(b*x^4+a)^(3/4)+1/21*(-13*a*d+7*b*c)*x^2*(b*x^4+a)^(1/4)/b^3+1/7*d*x^6*(b*x^4+a)^(1/4)/b^2-4/21*a^(3/2)*(-10*a*d+7*b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/b^(7/2)/(b*x^4+a)^(3/4),1],
[x^5*(d*x^4+c)/(b*x^4+a)^(7/4),x,5,-1/3*(-a*d+b*c)*x^2/b^2/(b*x^4+a)^(3/4)+1/3*d*x^2*(b*x^4+a)^(1/4)/b^2+2/3*sqrt(a)*(-2*a*d+b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/b^(5/2)/(b*x^4+a)^(3/4),1],
[x*(d*x^4+c)/(b*x^4+a)^(7/4),x,4,1/3*(-a*d+b*c)*x^2/a/b/(b*x^4+a)^(3/4)+1/3*(2*a*d+b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/sqrt(a)/b^(3/2)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^3/(b*x^4+a)^(7/4),x,5,-1/2*c/a/x^2/(b*x^4+a)^(3/4)-1/6*(-2*a*d+5*b*c)*x^2/a^2/(b*x^4+a)^(3/4)-1/6*(-2*a*d+5*b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(3/2)/sqrt(b)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^7/(b*x^4+a)^(7/4),x,6,-1/6*c/a/x^6/(b*x^4+a)^(3/4)-1/6*(-2*a*d+3*b*c)/a^2/x^2/(b*x^4+a)^(3/4)+5/12*(-2*a*d+3*b*c)*(b*x^4+a)^(1/4)/a^3/x^2+5/12*sqrt(b)*(-2*a*d+3*b*c)*(1+b*x^4/a)^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(5/2)/(b*x^4+a)^(3/4),1],
[x^8*(d*x^4+c)/(b*x^4+a)^(7/4),x,5,1/3*a*(-a*d+b*c)*x/b^3/(b*x^4+a)^(3/4)+1/12*(-11*a*d+6*b*c)*x*(b*x^4+a)^(1/4)/b^3+1/6*d*x^5*(b*x^4+a)^(1/4)/b^2+5/12*sqrt(a)*(-3*a*d+2*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/b^(5/2)/(b*x^4+a)^(3/4),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(7/4),x,4,-1/3*(-a*d+b*c)*x/b^2/(b*x^4+a)^(3/4)+1/2*d*x*(b*x^4+a)^(1/4)/b^2-1/6*(-5*a*d+2*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/sqrt(a)/b^(3/2)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/(b*x^4+a)^(7/4),x,3,1/3*(-a*d+b*c)*x/a/b/(b*x^4+a)^(3/4)-1/3*(a*d+2*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(3/2)/sqrt(b)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(7/4),x,4,-1/3*c/a/x^3/(b*x^4+a)^(3/4)-1/3*(-a*d+2*b*c)*x/a^2/(b*x^4+a)^(3/4)+2/3*sqrt(b)*(-a*d+2*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(5/2)/(b*x^4+a)^(3/4),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(7/4),x,5,-1/7*c/a/x^7/(b*x^4+a)^(3/4)-1/21*(-7*a*d+10*b*c)/a^2/x^3/(b*x^4+a)^(3/4)+2/21*(-7*a*d+10*b*c)*(b*x^4+a)^(1/4)/a^3/x^3-4/21*b^(3/2)*(-7*a*d+10*b*c)*(1+a/b/x^4)^(3/4)*x^3*InverseJacobiAM(1/2*arccot(sqrt(b)*x^2/sqrt(a)),sqrt(2))/a^(7/2)/(b*x^4+a)^(3/4),1],
[x^11*(d*x^4+c)/(b*x^4+a)^(9/4),x,3,-1/5*a^2*(-a*d+b*c)/b^4/(b*x^4+a)^(5/4)+a*(-3*a*d+2*b*c)/b^4/(b*x^4+a)^(1/4)+1/3*(-3*a*d+b*c)*(b*x^4+a)^(3/4)/b^4+1/7*d*(b*x^4+a)^(7/4)/b^4,1],
[x^7*(d*x^4+c)/(b*x^4+a)^(9/4),x,3,1/5*a*(-a*d+b*c)/b^3/(b*x^4+a)^(5/4)-(-2*a*d+b*c)/b^3/(b*x^4+a)^(1/4)+1/3*d*(b*x^4+a)^(3/4)/b^3,1],
[x^3*(d*x^4+c)/(b*x^4+a)^(9/4),x,3,1/5*(a*d-b*c)/b^2/(b*x^4+a)^(5/4)-d/b^2/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x/(b*x^4+a)^(9/4),x,7,1/5*(-a*d+b*c)/a/b/(b*x^4+a)^(5/4)+c/a^2/(b*x^4+a)^(1/4)+1/2*c*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(9/4)-1/2*c*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(9/4),1],
[(d*x^4+c)/x^5/(b*x^4+a)^(9/4),x,8,-1/5*(-a*d+b*c)/a^2/(b*x^4+a)^(5/4)-(-a*d+2*b*c)/a^3/(b*x^4+a)^(1/4)-1/4*c*(b*x^4+a)^(3/4)/a^3/x^4-1/8*(-4*a*d+9*b*c)*arctan((b*x^4+a)^(1/4)/a^(1/4))/a^(13/4)+1/8*(-4*a*d+9*b*c)*arctanh((b*x^4+a)^(1/4)/a^(1/4))/a^(13/4),1],
[x^8*(d*x^4+c)/(b*x^4+a)^(9/4),x,7,1/5*a*(-a*d+b*c)*x/b^3/(b*x^4+a)^(5/4)-1/5*(-11*a*d+6*b*c)*x/b^3/(b*x^4+a)^(1/4)+1/4*d*x*(b*x^4+a)^(3/4)/b^3+1/8*(-9*a*d+4*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(13/4)+1/8*(-9*a*d+4*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(13/4),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(9/4),x,6,1/5*(-a*d+b*c)*x^5/a/b/(b*x^4+a)^(5/4)-d*x/b^2/(b*x^4+a)^(1/4)+1/2*d*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(9/4)+1/2*d*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(9/4),1],
[(d*x^4+c)/(b*x^4+a)^(9/4),x,2,1/5*(-a*d+b*c)*x/a/b/(b*x^4+a)^(5/4)+1/5*(a*d+4*b*c)*x/a^2/b/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(9/4),x,3,-1/3*c/a/x^3/(b*x^4+a)^(5/4)-1/15*(-3*a*d+8*b*c)*x/a^2/(b*x^4+a)^(5/4)-4/15*(-3*a*d+8*b*c)*x/a^3/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(9/4),x,4,-1/7*c/a/x^7/(b*x^4+a)^(5/4)-1/35*(-7*a*d+12*b*c)/a^2/x^3/(b*x^4+a)^(5/4)-8/35*(-7*a*d+12*b*c)/a^3/x^3/(b*x^4+a)^(1/4)+32/105*(-7*a*d+12*b*c)*(b*x^4+a)^(3/4)/a^4/x^3,1],
[x^10*(d*x^4+c)/(b*x^4+a)^(9/4),x,5,-1/5*(-a*d+b*c)*x^7/b^2/(b*x^4+a)^(5/4)+7/60*(-11*a*d+6*b*c)*x^3/b^3/(b*x^4+a)^(1/4)+1/6*d*x^7/b^2/(b*x^4+a)^(1/4)+7/20*sqrt(a)*(-11*a*d+6*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(7/2)/(b*x^4+a)^(1/4),1],
[x^6*(d*x^4+c)/(b*x^4+a)^(9/4),x,4,-1/5*(-a*d+b*c)*x^3/b^2/(b*x^4+a)^(5/4)+1/2*d*x^3/b^2/(b*x^4+a)^(1/4)-3/10*(-7*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/b^(5/2)/(b*x^4+a)^(1/4),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(9/4),x,3,1/5*(-a*d+b*c)*x^3/a/b/(b*x^4+a)^(5/4)-1/5*(3*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(9/4),x,4,-c/a/x/(b*x^4+a)^(5/4)-1/5*(-a*d+6*b*c)*x^3/a^2/(b*x^4+a)^(5/4)+2/5*(-a*d+6*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(5/2)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(9/4),x,5,-1/5*c/a/x^5/(b*x^4+a)^(5/4)-1/5*(-a*d+2*b*c)/a^2/x/(b*x^4+a)^(5/4)+6/5*(-a*d+2*b*c)/a^3/x/(b*x^4+a)^(1/4)-12/5*sqrt(b)*(-a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(7/2)/(b*x^4+a)^(1/4),1],
[x^9*(d*x^4+c)/(b*x^4+a)^(9/4),x,6,1/5*a*(-a*d+b*c)*x^2/b^3/(b*x^4+a)^(5/4)+1/5*(-12*a*d+5*b*c)*x^2/b^3/(b*x^4+a)^(1/4)+1/5*d*x^2*(b*x^4+a)^(3/4)/b^3-12/5*sqrt(a)*(-2*a*d+b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(7/2)/(b*x^4+a)^(1/4),1],
[x^5*(d*x^4+c)/(b*x^4+a)^(9/4),x,5,-1/5*(-a*d+b*c)*x^2/b^2/(b*x^4+a)^(5/4)+d*x^2/b^2/(b*x^4+a)^(1/4)+2/5*(-6*a*d+b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/b^(5/2)/(b*x^4+a)^(1/4),1],
[x*(d*x^4+c)/(b*x^4+a)^(9/4),x,4,1/5*(-a*d+b*c)*x^2/a/b/(b*x^4+a)^(5/4)+1/5*(2*a*d+3*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^3/(b*x^4+a)^(9/4),x,5,-1/2*c/a/x^2/(b*x^4+a)^(5/4)-1/10*(-2*a*d+7*b*c)*x^2/a^2/(b*x^4+a)^(5/4)-3/10*(-2*a*d+7*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(5/2)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^7/(b*x^4+a)^(9/4),x,6,-1/6*c/a/x^6/(b*x^4+a)^(5/4)-1/30*(-6*a*d+11*b*c)/a^2/x^2/(b*x^4+a)^(5/4)+7/60*(-6*a*d+11*b*c)/a^3/x^2/(b*x^4+a)^(1/4)+7/20*sqrt(b)*(-6*a*d+11*b*c)*(1+b*x^4/a)^(1/4)*EllipticE(sin(1/2*arctan(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(7/2)/(b*x^4+a)^(1/4),1],
[x^12*(d*x^4+c)/(b*x^4+a)^(13/4),x,8,-1/9*a^2*(-a*d+b*c)*x/b^4/(b*x^4+a)^(9/4)+1/45*a*(-28*a*d+19*b*c)*x/b^4/(b*x^4+a)^(5/4)-1/45*(-158*a*d+59*b*c)*x/b^4/(b*x^4+a)^(1/4)+1/4*d*x*(b*x^4+a)^(3/4)/b^4+1/8*(-13*a*d+4*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(17/4)+1/8*(-13*a*d+4*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(17/4),1],
[x^8*(d*x^4+c)/(b*x^4+a)^(13/4),x,7,1/9*(-a*d+b*c)*x^9/a/b/(b*x^4+a)^(9/4)-1/5*d*x^5/b^2/(b*x^4+a)^(5/4)-d*x/b^3/(b*x^4+a)^(1/4)+1/2*d*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(13/4)+1/2*d*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(13/4),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(13/4),x,2,1/9*(-a*d+b*c)*x^5/a/b/(b*x^4+a)^(9/4)+1/45*(5*a*d+4*b*c)*x^5/a^2/b/(b*x^4+a)^(5/4),1],
[(d*x^4+c)/(b*x^4+a)^(13/4),x,3,1/9*(-a*d+b*c)*x/a/b/(b*x^4+a)^(9/4)+1/45*(a*d+8*b*c)*x/a^2/b/(b*x^4+a)^(5/4)+4/45*(a*d+8*b*c)*x/a^3/b/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(13/4),x,4,-1/3*c/a/x^3/(b*x^4+a)^(9/4)-1/9*(-a*d+4*b*c)*x/a^2/(b*x^4+a)^(9/4)-8/45*(-a*d+4*b*c)*x/a^3/(b*x^4+a)^(5/4)-32/45*(-a*d+4*b*c)*x/a^4/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(13/4),x,5,-1/7*c/a/x^7/(b*x^4+a)^(9/4)-1/63*(-7*a*d+16*b*c)/a^2/x^3/(b*x^4+a)^(9/4)-4/105*(-7*a*d+16*b*c)/a^3/x^3/(b*x^4+a)^(5/4)-32/105*(-7*a*d+16*b*c)/a^4/x^3/(b*x^4+a)^(1/4)+128/315*(-7*a*d+16*b*c)*(b*x^4+a)^(3/4)/a^5/x^3,1],
[x^14*(d*x^4+c)/(b*x^4+a)^(13/4),x,6,-1/9*(-a*d+b*c)*x^11/b^2/(b*x^4+a)^(9/4)-1/45*(-20*a*d+11*b*c)*x^7/b^3/(b*x^4+a)^(5/4)+77/180*(-5*a*d+2*b*c)*x^3/b^4/(b*x^4+a)^(1/4)+1/6*d*x^7/b^3/(b*x^4+a)^(1/4)+77/60*sqrt(a)*(-5*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(9/2)/(b*x^4+a)^(1/4),1],
[x^10*(d*x^4+c)/(b*x^4+a)^(13/4),x,5,-1/9*(-a*d+b*c)*x^7/b^2/(b*x^4+a)^(9/4)-1/45*(-16*a*d+7*b*c)*x^3/b^3/(b*x^4+a)^(5/4)+1/2*d*x^3/b^3/(b*x^4+a)^(1/4)-7/30*(-11*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/b^(7/2)/(b*x^4+a)^(1/4),1],
[x^6*(d*x^4+c)/(b*x^4+a)^(13/4),x,4,-1/9*(-a*d+b*c)*x^3/b^2/(b*x^4+a)^(9/4)+1/15*(-4*a*d+b*c)*x^3/a/b^2/(b*x^4+a)^(5/4)-1/15*(7*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/b^(5/2)/(b*x^4+a)^(1/4),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(13/4),x,4,1/9*(-a*d+b*c)*x^3/a/b/(b*x^4+a)^(9/4)+1/15*(a*d+2*b*c)*x^3/a^2/b/(b*x^4+a)^(5/4)-2/15*(a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(5/2)/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(13/4),x,5,-c/a/x/(b*x^4+a)^(9/4)-1/9*(-a*d+10*b*c)*x^3/a^2/(b*x^4+a)^(9/4)-2/15*(-a*d+10*b*c)*x^3/a^3/(b*x^4+a)^(5/4)+4/15*(-a*d+10*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(7/2)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(13/4),x,6,-1/5*c/a/x^5/(b*x^4+a)^(9/4)-1/45*(-5*a*d+14*b*c)/a^2/x/(b*x^4+a)^(9/4)-2/45*(-5*a*d+14*b*c)/a^3/x/(b*x^4+a)^(5/4)+4/15*(-5*a*d+14*b*c)/a^4/x/(b*x^4+a)^(1/4)-8/15*sqrt(b)*(-5*a*d+14*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(9/2)/(b*x^4+a)^(1/4),1],
[x^16*(d*x^4+c)/(b*x^4+a)^(17/4),x,9,1/13*a^3*(-a*d+b*c)*x/b^5/(b*x^4+a)^(13/4)-1/117*a^2*(-53*a*d+40*b*c)*x/b^5/(b*x^4+a)^(9/4)+2/585*a*(-373*a*d+191*b*c)*x/b^5/(b*x^4+a)^(5/4)-2/585*(-1433*a*d+406*b*c)*x/b^5/(b*x^4+a)^(1/4)+1/4*d*x*(b*x^4+a)^(3/4)/b^5+1/8*(-17*a*d+4*b*c)*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(21/4)+1/8*(-17*a*d+4*b*c)*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(21/4),1],
[x^12*(d*x^4+c)/(b*x^4+a)^(17/4),x,8,1/13*(-a*d+b*c)*x^13/a/b/(b*x^4+a)^(13/4)-1/9*d*x^9/b^2/(b*x^4+a)^(9/4)-1/5*d*x^5/b^3/(b*x^4+a)^(5/4)-d*x/b^4/(b*x^4+a)^(1/4)+1/2*d*arctan(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(17/4)+1/2*d*arctanh(b^(1/4)*x/(b*x^4+a)^(1/4))/b^(17/4),1],
[x^8*(d*x^4+c)/(b*x^4+a)^(17/4),x,2,1/13*(-a*d+b*c)*x^9/a/b/(b*x^4+a)^(13/4)+1/117*(9*a*d+4*b*c)*x^9/a^2/b/(b*x^4+a)^(9/4),1],
[x^4*(d*x^4+c)/(b*x^4+a)^(17/4),x,3,1/13*(-a*d+b*c)*x^5/a/b/(b*x^4+a)^(13/4)+1/117*(5*a*d+8*b*c)*x^5/a^2/b/(b*x^4+a)^(9/4)+4/585*(5*a*d+8*b*c)*x^5/a^3/b/(b*x^4+a)^(5/4),1],
[(d*x^4+c)/(b*x^4+a)^(17/4),x,4,1/13*(-a*d+b*c)*x/a/b/(b*x^4+a)^(13/4)+1/117*(a*d+12*b*c)*x/a^2/b/(b*x^4+a)^(9/4)+8/585*(a*d+12*b*c)*x/a^3/b/(b*x^4+a)^(5/4)+32/585*(a*d+12*b*c)*x/a^4/b/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^4/(b*x^4+a)^(17/4),x,5,-1/3*c/a/x^3/(b*x^4+a)^(13/4)-1/39*(-3*a*d+16*b*c)*x/a^2/(b*x^4+a)^(13/4)-4/117*(-3*a*d+16*b*c)*x/a^3/(b*x^4+a)^(9/4)-32/585*(-3*a*d+16*b*c)*x/a^4/(b*x^4+a)^(5/4)-128/585*(-3*a*d+16*b*c)*x/a^5/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^8/(b*x^4+a)^(17/4),x,6,-1/7*c/a/x^7/(b*x^4+a)^(13/4)-1/91*(-7*a*d+20*b*c)/a^2/x^3/(b*x^4+a)^(13/4)-16/819*(-7*a*d+20*b*c)/a^3/x^3/(b*x^4+a)^(9/4)-64/1365*(-7*a*d+20*b*c)/a^4/x^3/(b*x^4+a)^(5/4)-512/1365*(-7*a*d+20*b*c)/a^5/x^3/(b*x^4+a)^(1/4)+2048/4095*(-7*a*d+20*b*c)*(b*x^4+a)^(3/4)/a^6/x^3,1],
[x^18*(d*x^4+c)/(b*x^4+a)^(17/4),x,7,-1/13*(-a*d+b*c)*x^15/b^2/(b*x^4+a)^(13/4)-1/117*(-28*a*d+15*b*c)*x^11/b^3/(b*x^4+a)^(9/4)-1/117*(-85*a*d+33*b*c)*x^7/b^4/(b*x^4+a)^(5/4)+77/468*(-19*a*d+6*b*c)*x^3/b^5/(b*x^4+a)^(1/4)+1/6*d*x^7/b^4/(b*x^4+a)^(1/4)+77/156*sqrt(a)*(-19*a*d+6*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/b^(11/2)/(b*x^4+a)^(1/4),1],
[x^14*(d*x^4+c)/(b*x^4+a)^(17/4),x,6,-1/13*(-a*d+b*c)*x^11/b^2/(b*x^4+a)^(13/4)-1/117*(-24*a*d+11*b*c)*x^7/b^3/(b*x^4+a)^(9/4)-1/585*(-285*a*d+77*b*c)*x^3/b^4/(b*x^4+a)^(5/4)+1/2*d*x^3/b^4/(b*x^4+a)^(1/4)-77/390*(-15*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/sqrt(a)/b^(9/2)/(b*x^4+a)^(1/4),1],
[x^10*(d*x^4+c)/(b*x^4+a)^(17/4),x,5,-1/13*(-a*d+b*c)*x^7/b^2/(b*x^4+a)^(13/4)-1/117*(-20*a*d+7*b*c)*x^3/b^3/(b*x^4+a)^(9/4)+1/195*(-59*a*d+7*b*c)*x^3/a/b^3/(b*x^4+a)^(5/4)-7/195*(11*a*d+2*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(3/2)/b^(7/2)/(b*x^4+a)^(1/4),1],
[x^6*(d*x^4+c)/(b*x^4+a)^(17/4),x,5,-1/13*(-a*d+b*c)*x^3/b^2/(b*x^4+a)^(13/4)+1/117*(-16*a*d+3*b*c)*x^3/a/b^2/(b*x^4+a)^(9/4)+1/195*(7*a*d+6*b*c)*x^3/a^2/b^2/(b*x^4+a)^(5/4)-2/195*(7*a*d+6*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(5/2)/b^(5/2)/(b*x^4+a)^(1/4),1],
[x^2*(d*x^4+c)/(b*x^4+a)^(17/4),x,5,1/13*(-a*d+b*c)*x^3/a/b/(b*x^4+a)^(13/4)+1/117*(3*a*d+10*b*c)*x^3/a^2/b/(b*x^4+a)^(9/4)+2/195*(3*a*d+10*b*c)*x^3/a^3/b/(b*x^4+a)^(5/4)-4/195*(3*a*d+10*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(7/2)/b^(3/2)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^2/(b*x^4+a)^(17/4),x,6,-c/a/x/(b*x^4+a)^(13/4)-1/13*(-a*d+14*b*c)*x^3/a^2/(b*x^4+a)^(13/4)-10/117*(-a*d+14*b*c)*x^3/a^3/(b*x^4+a)^(9/4)-4/39*(-a*d+14*b*c)*x^3/a^4/(b*x^4+a)^(5/4)+8/39*(-a*d+14*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(9/2)/sqrt(b)/(b*x^4+a)^(1/4),1],
[(d*x^4+c)/x^6/(b*x^4+a)^(17/4),x,7,-1/5*c/a/x^5/(b*x^4+a)^(13/4)-1/65*(-5*a*d+18*b*c)/a^2/x/(b*x^4+a)^(13/4)-14/585*(-5*a*d+18*b*c)/a^3/x/(b*x^4+a)^(9/4)-28/585*(-5*a*d+18*b*c)/a^4/x/(b*x^4+a)^(5/4)+56/195*(-5*a*d+18*b*c)/a^5/x/(b*x^4+a)^(1/4)-112/195*sqrt(b)*(-5*a*d+18*b*c)*(1+a/b/x^4)^(1/4)*x*EllipticE(sin(1/2*arccot(sqrt(b)*x^2/sqrt(a))),sqrt(2))/a^(11/2)/(b*x^4+a)^(1/4),1],
[(e*x)^m*(b*x^4+a)^p*(d*x^4+c),x,4,d*(e*x)^(1+m)*(b*x^4+a)^(p+1)/b/e/(5+m+4*p)+(c/(1+m)-a*d/b/(5+m+4*p))*(e*x)^(1+m)*(b*x^4+a)^p*hypergeom([1/4+1/4*m, -p],[5/4+1/4*m],-b*x^4/a)/e/((1+b*x^4/a)^p),1],
[x^(-5-4*p)*(b*x^4+a)^p*(d*x^4+c),x,3,-1/4*c*(b*x^4+a)^(p+1)/a/(p+1)/(x^(4*p+4))-1/4*d*(b*x^4+a)^p*hypergeom([-p, -p],[1-p],-b*x^4/a)/p/(x^(4*p))/((1+b*x^4/a)^p),1],
[(e*x)^m*(b*x^4+a)^p*(a*(1+m)+b*(5+m+4*p)*x^4),x,2,(e*x)^(1+m)*(b*x^4+a)^(p+1)/e,1],
[x^15/(b*x^4+a)/(d*x^4+c),x,3,-1/4*(a*d+b*c)*x^4/b^2/d^2+1/8*x^8/b/d-1/4*a^3*ln(b*x^4+a)/b^3/(-a*d+b*c)+1/4*c^3*ln(d*x^4+c)/d^3/(-a*d+b*c),1],
[x^11/(b*x^4+a)/(d*x^4+c),x,3,1/4*x^4/b/d+1/4*a^2*ln(b*x^4+a)/b^2/(-a*d+b*c)-1/4*c^2*ln(d*x^4+c)/d^2/(-a*d+b*c),1],
[x^7/(b*x^4+a)/(d*x^4+c),x,3,-1/4*a*ln(b*x^4+a)/b/(-a*d+b*c)+1/4*c*ln(d*x^4+c)/d/(-a*d+b*c),1],
[x^3/(b*x^4+a)/(d*x^4+c),x,3,ln(b*x^4+a)/(-4*a*d+4*b*c)-ln(d*x^4+c)/(-4*a*d+4*b*c),1],
[1/x/(b*x^4+a)/(d*x^4+c),x,3,ln(x)/a/c-1/4*b*ln(b*x^4+a)/a/(-a*d+b*c)+1/4*d*ln(d*x^4+c)/c/(-a*d+b*c),1],
[1/x^5/(b*x^4+a)/(d*x^4+c),x,3,-1/4/a/c/x^4-(a*d+b*c)*ln(x)/a^2/c^2+1/4*b^2*ln(b*x^4+a)/a^2/(-a*d+b*c)-1/4*d^2*ln(d*x^4+c)/c^2/(-a*d+b*c),1],
[x^13/(b*x^4+a)/(d*x^4+c),x,6,-1/2*(a*d+b*c)*x^2/b^2/d^2+1/6*x^6/b/d-1/2*a^(5/2)*arctan(sqrt(b)*x^2/sqrt(a))/b^(5/2)/(-a*d+b*c)+1/2*c^(5/2)*arctan(sqrt(d)*x^2/sqrt(c))/d^(5/2)/(-a*d+b*c),1],
[x^9/(b*x^4+a)/(d*x^4+c),x,6,1/2*x^2/b/d+1/2*a^(3/2)*arctan(sqrt(b)*x^2/sqrt(a))/b^(3/2)/(-a*d+b*c)-1/2*c^(3/2)*arctan(sqrt(d)*x^2/sqrt(c))/d^(3/2)/(-a*d+b*c),1],
[x^5/(b*x^4+a)/(d*x^4+c),x,4,-1/2*sqrt(a)*arctan(sqrt(b)*x^2/sqrt(a))/sqrt(b)/(-a*d+b*c)+1/2*sqrt(c)*arctan(sqrt(d)*x^2/sqrt(c))/sqrt(d)/(-a*d+b*c),1],
[x/(b*x^4+a)/(d*x^4+c),x,4,1/2*sqrt(b)*arctan(sqrt(b)*x^2/sqrt(a))/sqrt(a)/(-a*d+b*c)-1/2*sqrt(d)*arctan(sqrt(d)*x^2/sqrt(c))/sqrt(c)/(-a*d+b*c),1],
[1/x^3/(b*x^4+a)/(d*x^4+c),x,5,-1/2/a/c/x^2-1/2*b^(3/2)*arctan(sqrt(b)*x^2/sqrt(a))/a^(3/2)/(-a*d+b*c)+1/2*d^(3/2)*arctan(sqrt(d)*x^2/sqrt(c))/c^(3/2)/(-a*d+b*c),1],
[1/x^7/(b*x^4+a)/(d*x^4+c),x,6,-1/6/a/c/x^6+1/2*(a*d+b*c)/a^2/c^2/x^2+1/2*b^(5/2)*arctan(sqrt(b)*x^2/sqrt(a))/a^(5/2)/(-a*d+b*c)-1/2*d^(5/2)*arctan(sqrt(d)*x^2/sqrt(c))/c^(5/2)/(-a*d+b*c),1],
[x^8/(b*x^4+a)/(d*x^4+c),x,18,x/b/d-1/2*a^(5/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(5/4)/(-a*d+b*c)+1/2*a^(5/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(5/4)/(-a*d+b*c)+1/2*c^(5/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/d^(5/4)/(-a*d+b*c)-1/2*c^(5/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/d^(5/4)/(-a*d+b*c)+1/2*a^(5/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/b^(5/4)/(-a*d+b*c)-1/2*c^(5/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/d^(5/4)/(-a*d+b*c),1],
[x^6/(b*x^4+a)/(d*x^4+c),x,17,1/2*a^(3/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(3/4)/(-a*d+b*c)-1/2*a^(3/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(3/4)/(-a*d+b*c)-1/2*c^(3/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/d^(3/4)/(-a*d+b*c)+1/2*c^(3/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/d^(3/4)/(-a*d+b*c)+1/2*a^(3/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/b^(3/4)/(-a*d+b*c)-1/2*c^(3/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/d^(3/4)/(-a*d+b*c),1],
[x^4/(b*x^4+a)/(d*x^4+c),x,17,1/2*a^(1/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(1/4)/(-a*d+b*c)-1/2*a^(1/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/b^(1/4)/(-a*d+b*c)-1/2*c^(1/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/d^(1/4)/(-a*d+b*c)+1/2*c^(1/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/d^(1/4)/(-a*d+b*c)-1/2*a^(1/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/b^(1/4)/(-a*d+b*c)+1/2*c^(1/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/d^(1/4)/(-a*d+b*c),1],
[x^2/(b*x^4+a)/(d*x^4+c),x,17,-1/2*b^(1/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(1/4)/(-a*d+b*c)+1/2*b^(1/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(1/4)/(-a*d+b*c)+1/2*d^(1/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(1/4)/(-a*d+b*c)-1/2*d^(1/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(1/4)/(-a*d+b*c)-1/2*b^(1/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(1/4)/(-a*d+b*c)+1/2*d^(1/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/c^(1/4)/(-a*d+b*c),1],
[1/(b*x^4+a)/(d*x^4+c),x,17,-1/2*b^(3/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(-a*d+b*c)+1/2*b^(3/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(-a*d+b*c)+1/2*d^(3/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(3/4)/(-a*d+b*c)-1/2*d^(3/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(3/4)/(-a*d+b*c)+1/2*b^(3/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(3/4)/(-a*d+b*c)-1/2*d^(3/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/c^(3/4)/(-a*d+b*c),1],
[1/x^2/(b*x^4+a)/(d*x^4+c),x,19,-1/a/c/x+1/2*b^(5/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(5/4)/(-a*d+b*c)-1/2*b^(5/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(5/4)/(-a*d+b*c)-1/2*d^(5/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(5/4)/(-a*d+b*c)+1/2*d^(5/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(5/4)/(-a*d+b*c)+1/2*b^(5/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(5/4)/(-a*d+b*c)-1/2*d^(5/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/c^(5/4)/(-a*d+b*c),1],
[1/x^4/(b*x^4+a)/(d*x^4+c),x,18,-1/3/a/c/x^3+1/2*b^(7/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(-a*d+b*c)-1/2*b^(7/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(-a*d+b*c)-1/2*d^(7/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(7/4)/(-a*d+b*c)+1/2*d^(7/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(7/4)/(-a*d+b*c)-1/2*b^(7/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(7/4)/(-a*d+b*c)+1/2*d^(7/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/c^(7/4)/(-a*d+b*c),1],
[1/x^6/(b*x^4+a)/(d*x^4+c),x,20,-1/5/a/c/x^5+(a*d+b*c)/a^2/c^2/x-1/2*b^(9/4)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)/(-a*d+b*c)+1/2*b^(9/4)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)/(-a*d+b*c)+1/2*d^(9/4)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(9/4)/(-a*d+b*c)-1/2*d^(9/4)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(9/4)/(-a*d+b*c)-1/2*b^(9/4)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(9/4)/(-a*d+b*c)+1/2*d^(9/4)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/c^(9/4)/(-a*d+b*c),1],
[x^2*(b*x^4+a)^3/(d*x^4+c)^2,x,11,-1/3*b^2*(-3*a*d+2*b*c)*x^3/d^3+1/7*b^3*x^7/d^2-1/4*(-a*d+b*c)^3*x^3/c/d^3/(d*x^4+c)-1/8*(-a*d+b*c)^2*(a*d+11*b*c)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(5/4)/d^(15/4)+1/8*(-a*d+b*c)^2*(a*d+11*b*c)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(5/4)/d^(15/4)-1/8*(-a*d+b*c)^2*(a*d+11*b*c)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/c^(5/4)/d^(15/4),1],
[(b*x^4+a)^3/(d*x^4+c)^2,x,11,-b^2*(-3*a*d+2*b*c)*x/d^3+1/5*b^3*x^5/d^2-1/4*(-a*d+b*c)^3*x/c/d^3/(d*x^4+c)-3/8*(-a*d+b*c)^2*(a*d+3*b*c)*arctan(1-sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(7/4)/d^(13/4)+3/8*(-a*d+b*c)^2*(a*d+3*b*c)*arctan(1+sqrt(2)*d^(1/4)*x/c^(1/4))/sqrt(2)/c^(7/4)/d^(13/4)+3/8*(-a*d+b*c)^2*(a*d+3*b*c)*arctanh(sqrt(2)*c^(1/4)*d^(1/4)*x/(sqrt(c)+sqrt(d)*x^2))/sqrt(2)/c^(7/4)/d^(13/4),1],
[(d*x^4+c)^3/x^2/(b*x^4+a)^2,x,11,-c^3/a^2/x+1/3*d^3*x^3/b^2-1/4*(-a*d+b*c)^3*x^3/a^2/b^2/(b*x^4+a)+1/8*(-a*d+b*c)^2*(7*a*d+5*b*c)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)/b^(11/4)-1/8*(-a*d+b*c)^2*(7*a*d+5*b*c)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(9/4)/b^(11/4)+1/8*(-a*d+b*c)^2*(7*a*d+5*b*c)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(9/4)/b^(11/4),1],
[(d*x^4+c)^3/x^4/(b*x^4+a)^2,x,11,-1/3*c^3/a^2/x^3+d^3*x/b^2-1/4*(-a*d+b*c)^3*x/a^2/b^2/(b*x^4+a)+1/8*(-a*d+b*c)^2*(5*a*d+7*b*c)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/b^(9/4)-1/8*(-a*d+b*c)^2*(5*a*d+7*b*c)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/b^(9/4)-1/8*(-a*d+b*c)^2*(5*a*d+7*b*c)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(11/4)/b^(9/4),1],
[(d*x^4+c)^3/x^6/(b*x^4+a)^2,x,11,-1/5*c^3/a^2/x^5+c^2*(-3*a*d+2*b*c)/a^3/x+1/4*(-a*d+b*c)^3*x^3/a^3/b/(b*x^4+a)-3/8*(-a*d+b*c)^2*(a*d+3*b*c)*arctan(1-sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(13/4)/b^(7/4)+3/8*(-a*d+b*c)^2*(a*d+3*b*c)*arctan(1+sqrt(2)*b^(1/4)*x/a^(1/4))/sqrt(2)/a^(13/4)/b^(7/4)-3/8*(-a*d+b*c)^2*(a*d+3*b*c)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*x/(sqrt(a)+sqrt(b)*x^2))/sqrt(2)/a^(13/4)/b^(7/4),1],
[x^11*sqrt(d*x^4+c)/(b*x^4+a),x,5,1/2*a^2*sqrt(d*x^4+c)/b^3-1/6*(a*d+b*c)*(d*x^4+c)^(3/2)/b^2/d^2+1/10*(d*x^4+c)^(5/2)/b/d^2-1/2*a^2*sqrt(-a*d+b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(7/2),1],
[x^7*sqrt(d*x^4+c)/(b*x^4+a),x,5,-1/2*a*sqrt(d*x^4+c)/b^2+1/6*(d*x^4+c)^(3/2)/b/d+1/2*a*sqrt(-a*d+b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(5/2),1],
[x^3*sqrt(d*x^4+c)/(b*x^4+a),x,4,1/2*sqrt(d*x^4+c)/b-1/2*sqrt(-a*d+b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(3/2),1],
[sqrt(d*x^4+c)/x/(b*x^4+a),x,6,-1/2*sqrt(c)*arctanh(sqrt(d*x^4+c)/sqrt(c))/a+1/2*sqrt(-a*d+b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/a/sqrt(b),1],
[sqrt(d*x^4+c)/x^5/(b*x^4+a),x,7,-1/4*sqrt(d*x^4+c)/a/x^4+1/4*(-a*d+2*b*c)*arctanh(sqrt(d*x^4+c)/sqrt(c))/a^2/sqrt(c)-1/2*sqrt(b)*sqrt(-a*d+b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/a^2,1],
[x^5*sqrt(d*x^4+c)/(b*x^4+a),x,7,1/4*x^2*sqrt(d*x^4+c)/b-1/2*sqrt(a)*sqrt(-a*d+b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/b^2+1/4*(-2*a*d+b*c)*arctanh(sqrt(d)*x^2/sqrt(d*x^4+c))/b^2/sqrt(d),1],
[x*sqrt(d*x^4+c)/(b*x^4+a),x,6,1/2*sqrt(-a*d+b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/sqrt(a)/b+1/2*sqrt(d)*arctanh(sqrt(d)*x^2/sqrt(d*x^4+c))/b,1],
[sqrt(d*x^4+c)/x^3/(b*x^4+a),x,5,-1/2*sqrt(d*x^4+c)/a/x^2-1/2*sqrt(-a*d+b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(3/2),1],
[sqrt(d*x^4+c)/x^7/(b*x^4+a),x,6,-1/6*sqrt(d*x^4+c)/a/x^6+1/6*(-a*d+3*b*c)*sqrt(d*x^4+c)/a^2/c/x^2+1/2*b*sqrt(-a*d+b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(5/2),1],
[sqrt(d*x^4+c)/x^11/(b*x^4+a),x,7,-1/10*sqrt(d*x^4+c)/a/x^10+1/30*(-a*d+5*b*c)*sqrt(d*x^4+c)/a^2/c/x^6-1/30*(-2*a^2*d^2-5*a*b*c*d+15*b^2*c^2)*sqrt(d*x^4+c)/a^3/c^2/x^2-1/2*b^2*sqrt(-a*d+b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(7/2),1],
[x^4*sqrt(d*x^4+c)/(b*x^4+a),x,4,1/3*x*sqrt(d*x^4+c)/b+1/4*(-a)^(1/4)*sqrt(a*d-b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(7/4)+1/4*(-a)^(1/4)*sqrt(a*d-b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(7/4)+1/3*c^(3/4)*(-2*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/d^(1/4)/(a*d+b*c)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^2/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^2/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[sqrt(d*x^4+c)/(b*x^4+a),x,5,1/4*sqrt(a*d-b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(3/4)/b^(3/4)+1/4*sqrt(a*d-b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(3/4)/b^(3/4)+1/2*d^(3/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/c^(1/4)/sqrt(d*x^4+c)+1/2*d^(3/4)*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/c^(1/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/b/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)+1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/b/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[sqrt(d*x^4+c)/x^4/(b*x^4+a),x,4,-1/3*sqrt(d*x^4+c)/a/x^3+1/4*b^(1/4)*sqrt(a*d-b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(7/4)+1/4*b^(1/4)*sqrt(a*d-b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(7/4)-1/3*d^(3/4)*(-a*d+2*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/c^(1/4)/(a*d+b*c)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[x^6*sqrt(d*x^4+c)/(b*x^4+a),x,16,1/5*x^3*sqrt(d*x^4+c)/b+1/5*(-5*a*d+2*b*c)*x*sqrt(d*x^4+c)/b^2/sqrt(d)/(sqrt(c)+sqrt(d)*x^2)-1/4*a*sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/b^2-1/4*a*sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/b^2-1/5*c^(1/4)*(-5*a*d+2*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/b^2/d^(3/4)/sqrt(d*x^4+c)+1/5*c^(1/4)*(-5*a^2*d^2+a*b*c*d+b^2*c^2)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b^2/d^(3/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/8*a*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^(5/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)-1/8*a*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*sqrt(c)*(sqrt(b)-sqrt(-a)*sqrt(d)/sqrt(c))^2/sqrt(-a)/sqrt(b)/sqrt(d),sqrt(1/2))/b^(5/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[x^2*sqrt(d*x^4+c)/(b*x^4+a),x,14,sqrt(d)*x*sqrt(d*x^4+c)/b/(sqrt(c)+sqrt(d)*x^2)+1/4*sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/b+1/4*sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/b-c^(1/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/b/sqrt(d*x^4+c)+a*c^(1/4)*d^(5/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/(a*d+b*c)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)+1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*sqrt(c)*(sqrt(b)-sqrt(-a)*sqrt(d)/sqrt(c))^2/sqrt(-a)/sqrt(b)/sqrt(d),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[sqrt(d*x^4+c)/x^2/(b*x^4+a),x,16,-sqrt(d*x^4+c)/a/x+sqrt(d)*x*sqrt(d*x^4+c)/a/(sqrt(c)+sqrt(d)*x^2)-1/4*sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/a-1/4*sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/a-c^(1/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/a/sqrt(d*x^4+c)+b*c^(5/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/(a*d+b*c)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/sqrt(b)/c^(1/4)/((-a)^(3/2)*sqrt(b)*sqrt(c)+a^2*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*sqrt(c)*(sqrt(b)-sqrt(-a)*sqrt(d)/sqrt(c))^2/sqrt(-a)/sqrt(b)/sqrt(d),sqrt(1/2))/a/sqrt(b)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[x^11/(b*x^4+a)/sqrt(d*x^4+c),x,5,-1/2*(a*d+b*c)*sqrt(d*x^4+c)/b^2/d^2+1/6*(d*x^4+c)^(3/2)/b/d^2-1/2*a^2*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(5/2)/sqrt(-a*d+b*c),1],
[x^7/(b*x^4+a)/sqrt(d*x^4+c),x,4,1/2*sqrt(d*x^4+c)/b/d+1/2*a*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(3/2)/sqrt(-a*d+b*c),1],
[x^3/(b*x^4+a)/sqrt(d*x^4+c),x,3,-1/2*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/sqrt(b)/sqrt(-a*d+b*c),1],
[1/x/(b*x^4+a)/sqrt(d*x^4+c),x,6,-1/2*arctanh(sqrt(d*x^4+c)/sqrt(c))/a/sqrt(c)+1/2*sqrt(b)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/a/sqrt(-a*d+b*c),1],
[1/x^5/(b*x^4+a)/sqrt(d*x^4+c),x,7,-1/4*sqrt(d*x^4+c)/a/c/x^4+1/4*(a*d+2*b*c)*arctanh(sqrt(d*x^4+c)/sqrt(c))/a^2/c^(3/2)-1/2*b^(3/2)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/a^2/sqrt(-a*d+b*c),1],
[x^9/(b*x^4+a)/sqrt(d*x^4+c),x,7,1/4*x^2*sqrt(d*x^4+c)/b/d+1/2*a^(3/2)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/b^2/sqrt(-a*d+b*c)-1/4*(2*a*d+b*c)*arctanh(sqrt(d)*x^2/sqrt(d*x^4+c))/b^2/d^(3/2),1],
[x^5/(b*x^4+a)/sqrt(d*x^4+c),x,6,-1/2*sqrt(a)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/b/sqrt(-a*d+b*c)+1/2*arctanh(sqrt(d)*x^2/sqrt(d*x^4+c))/b/sqrt(d),1],
[x/(b*x^4+a)/sqrt(d*x^4+c),x,3,1/2*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/sqrt(a)/sqrt(-a*d+b*c),1],
[1/x^3/(b*x^4+a)/sqrt(d*x^4+c),x,5,-1/2*sqrt(d*x^4+c)/a/c/x^2-1/2*b*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(3/2)/sqrt(-a*d+b*c),1],
[1/x^7/(b*x^4+a)/sqrt(d*x^4+c),x,6,-1/6*sqrt(d*x^4+c)/a/c/x^6+1/6*(2*a*d+3*b*c)*sqrt(d*x^4+c)/a^2/c^2/x^2+1/2*b^2*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(5/2)/sqrt(-a*d+b*c),1],
[x^8/(b*x^4+a)/sqrt(d*x^4+c),x,4,1/3*x*sqrt(d*x^4+c)/b/d-1/4*(-a)^(5/4)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(7/4)/sqrt(a*d-b*c)-1/4*(-a)^(5/4)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(7/4)/sqrt(a*d-b*c)-1/6*c^(3/4)*(4*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/d^(5/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/8*a*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^2/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)+1/8*a*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^2/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[x^4/(b*x^4+a)/sqrt(d*x^4+c),x,3,-1/4*(-a)^(1/4)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(3/4)/sqrt(a*d-b*c)-1/4*(-a)^(1/4)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(3/4)/sqrt(a*d-b*c)+1/2*c^(3/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/d^(1/4)/(a*d+b*c)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[1/(b*x^4+a)/sqrt(d*x^4+c),x,3,-1/4*b^(1/4)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(3/4)/sqrt(a*d-b*c)-1/4*b^(1/4)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(3/4)/sqrt(a*d-b*c)+1/2*d^(3/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/c^(1/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)+1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[1/x^4/(b*x^4+a)/sqrt(d*x^4+c),x,4,-1/3*sqrt(d*x^4+c)/a/c/x^3-1/4*b^(5/4)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(7/4)/sqrt(a*d-b*c)-1/4*b^(5/4)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(7/4)/sqrt(a*d-b*c)-1/6*d^(3/4)*(a*d+4*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/c^(5/4)/(a*d+b*c)/sqrt(d*x^4+c)-1/8*b*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)-1/8*b*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[x^6/(b*x^4+a)/sqrt(d*x^4+c),x,14,x*sqrt(d*x^4+c)/b/sqrt(d)/(sqrt(c)+sqrt(d)*x^2)-1/4*a*sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/b/(-a*d+b*c)-1/4*a*sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/b/(-a*d+b*c)-c^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/b/d^(3/4)/sqrt(d*x^4+c)+1/2*c^(1/4)*(2*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/d^(3/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/8*a*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)-1/8*a*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*sqrt(c)*(sqrt(b)-sqrt(-a)*sqrt(d)/sqrt(c))^2/sqrt(-a)/sqrt(b)/sqrt(d),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[x^2/(b*x^4+a)/sqrt(d*x^4+c),x,9,sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/(-4*a*d+4*b*c)+sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/(-4*a*d+4*b*c)-1/2*c^(1/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/(a*d+b*c)/sqrt(d*x^4+c)-1/8*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/sqrt(b)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c)+1/8*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*sqrt(c)*(sqrt(b)-sqrt(-a)*sqrt(d)/sqrt(c))^2/sqrt(-a)/sqrt(b)/sqrt(d),sqrt(1/2))/sqrt(b)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/sqrt(d*x^4+c),1],
[1/x^2/(b*x^4+a)/sqrt(d*x^4+c),x,16,-sqrt(d*x^4+c)/a/c/x+sqrt(d)*x*sqrt(d*x^4+c)/a/c/(sqrt(c)+sqrt(d)*x^2)-1/4*b*sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt(-(-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/a/(-a*d+b*c)-1/4*b*sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*arctan(sqrt((-a*d+b*c)/sqrt(-a)/sqrt(b))*x/sqrt(d*x^4+c))/a/(-a*d+b*c)-d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/a/c^(3/4)/sqrt(d*x^4+c)+1/2*d^(1/4)*(a*d+2*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/c^(3/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/8*sqrt(b)*(sqrt(b)*c^(1/4)/d^(1/4)-sqrt(-a)*d^(1/4)/c^(1/4))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/sqrt(d*x^4+c)-1/8*sqrt(b)*(sqrt(b)*c^(1/4)/d^(1/4)+sqrt(-a)*d^(1/4)/c^(1/4))*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*sqrt(c)*(sqrt(b)-sqrt(-a)*sqrt(d)/sqrt(c))^2/sqrt(-a)/sqrt(b)/sqrt(d),sqrt(1/2))/a/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/sqrt(d*x^4+c),1],
[x^15/(b*x^4+a)^2/sqrt(d*x^4+c),x,6,-1/2*(2*a*d+b*c)*sqrt(d*x^4+c)/b^3/d^2+1/4*a^3*sqrt(d*x^4+c)/b^3/(-a*d+b*c)/(b*x^4+a)+1/6*(d*x^4+c)^(3/2)/b^2/d^2-1/4*a^2*(-5*a*d+6*b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(7/2)/(-a*d+b*c)^(3/2),1],
[x^11/(b*x^4+a)^2/sqrt(d*x^4+c),x,5,1/2*sqrt(d*x^4+c)/b^2/d-1/4*a^2*sqrt(d*x^4+c)/b^2/(-a*d+b*c)/(b*x^4+a)+1/4*a*(-3*a*d+4*b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(5/2)/(-a*d+b*c)^(3/2),1],
[x^7/(b*x^4+a)^2/sqrt(d*x^4+c),x,4,1/4*a*sqrt(d*x^4+c)/b/(-a*d+b*c)/(b*x^4+a)-1/4*(-a*d+2*b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/b^(3/2)/(-a*d+b*c)^(3/2),1],
[x^3/(b*x^4+a)^2/sqrt(d*x^4+c),x,4,-1/4*sqrt(d*x^4+c)/(-a*d+b*c)/(b*x^4+a)+1/4*d*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/sqrt(b)/(-a*d+b*c)^(3/2),1],
[1/x/(b*x^4+a)^2/sqrt(d*x^4+c),x,7,1/4*b*sqrt(d*x^4+c)/a/(-a*d+b*c)/(b*x^4+a)-1/2*arctanh(sqrt(d*x^4+c)/sqrt(c))/a^2/sqrt(c)+1/4*sqrt(b)*(-3*a*d+2*b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/a^2/(-a*d+b*c)^(3/2),1],
[1/x^5/(b*x^4+a)^2/sqrt(d*x^4+c),x,8,-1/4*b*(-a*d+2*b*c)*sqrt(d*x^4+c)/a^2/c/(-a*d+b*c)/(b*x^4+a)-1/4*sqrt(d*x^4+c)/a/c/x^4/(b*x^4+a)+1/4*(a*d+4*b*c)*arctanh(sqrt(d*x^4+c)/sqrt(c))/a^3/c^(3/2)-1/4*b^(3/2)*(-5*a*d+4*b*c)*arctanh(sqrt(b)*sqrt(d*x^4+c)/sqrt(-a*d+b*c))/a^3/(-a*d+b*c)^(3/2),1],
[x^13/(b*x^4+a)^2/sqrt(d*x^4+c),x,8,1/4*(-2*a*d+b*c)*x^2*sqrt(d*x^4+c)/b^2/d/(-a*d+b*c)+1/4*a*x^6*sqrt(d*x^4+c)/b/(-a*d+b*c)/(b*x^4+a)+1/4*a^(3/2)*(-4*a*d+5*b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/b^3/(-a*d+b*c)^(3/2)-1/4*(4*a*d+b*c)*arctanh(sqrt(d)*x^2/sqrt(d*x^4+c))/b^3/d^(3/2),1],
[x^9/(b*x^4+a)^2/sqrt(d*x^4+c),x,7,1/4*a*x^2*sqrt(d*x^4+c)/b/(-a*d+b*c)/(b*x^4+a)-1/4*sqrt(a)*(-2*a*d+3*b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/b^2/(-a*d+b*c)^(3/2)+1/2*arctanh(sqrt(d)*x^2/sqrt(d*x^4+c))/b^2/sqrt(d),1],
[x^5/(b*x^4+a)^2/sqrt(d*x^4+c),x,5,-1/4*x^2*sqrt(d*x^4+c)/(-a*d+b*c)/(b*x^4+a)+1/4*c*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/sqrt(a)/(-a*d+b*c)^(3/2),1],
[x/(b*x^4+a)^2/sqrt(d*x^4+c),x,4,1/4*b*x^2*sqrt(d*x^4+c)/a/(-a*d+b*c)/(b*x^4+a)+1/4*(-2*a*d+b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(3/2)/(-a*d+b*c)^(3/2),1],
[1/x^3/(b*x^4+a)^2/sqrt(d*x^4+c),x,6,-1/4*(-2*a*d+3*b*c)*sqrt(d*x^4+c)/a^2/c/(-a*d+b*c)/x^2+1/4*b*sqrt(d*x^4+c)/a/(-a*d+b*c)/x^2/(b*x^4+a)-1/4*b*(-4*a*d+3*b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(5/2)/(-a*d+b*c)^(3/2),1],
[1/x^7/(b*x^4+a)^2/sqrt(d*x^4+c),x,7,-1/12*(-2*a*d+5*b*c)*sqrt(d*x^4+c)/a^2/c/(-a*d+b*c)/x^6+1/12*(-4*a^2*d^2-8*a*b*c*d+15*b^2*c^2)*sqrt(d*x^4+c)/a^3/c^2/(-a*d+b*c)/x^2+1/4*b*sqrt(d*x^4+c)/a/(-a*d+b*c)/x^6/(b*x^4+a)+1/4*b^2*(-6*a*d+5*b*c)*arctan(sqrt(-a*d+b*c)*x^2/sqrt(a)/sqrt(d*x^4+c))/a^(7/2)/(-a*d+b*c)^(3/2),1],
[x^16/(b*x^4+a)^2/sqrt(d*x^4+c),x,6,-1/84*(-77*a^2*d^2+36*a*b*c*d+20*b^2*c^2)*x*sqrt(d*x^4+c)/b^3/d^2/(-a*d+b*c)+1/28*(-11*a*d+4*b*c)*x^5*sqrt(d*x^4+c)/b^2/d/(-a*d+b*c)+1/4*a*x^9*sqrt(d*x^4+c)/b/(-a*d+b*c)/(b*x^4+a)+1/16*(-a)^(9/4)*(-11*a*d+13*b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(15/4)/(a*d-b*c)^(3/2)+1/16*(-a)^(9/4)*(-11*a*d+13*b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(15/4)/(a*d-b*c)^(3/2)+1/42*c^(3/4)*(77*a^2*d^2+19*a*b*c*d+5*b^2*c^2)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b^3/d^(9/4)/(a*d+b*c)/sqrt(d*x^4+c)-1/32*a^2*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-11*a*d+13*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^4/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)-1/32*a^2*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-11*a*d+13*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^4/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[x^12/(b*x^4+a)^2/sqrt(d*x^4+c),x,5,1/12*(-7*a*d+4*b*c)*x*sqrt(d*x^4+c)/b^2/d/(-a*d+b*c)+1/4*a*x^5*sqrt(d*x^4+c)/b/(-a*d+b*c)/(b*x^4+a)+1/16*(-a)^(5/4)*(-7*a*d+9*b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(11/4)/(a*d-b*c)^(3/2)+1/16*(-a)^(5/4)*(-7*a*d+9*b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(11/4)/(a*d-b*c)^(3/2)-1/6*c^(3/4)*(7*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b^2/d^(5/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/32*a*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-7*a*d+9*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^3/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)+1/32*a*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-7*a*d+9*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^3/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[x^8/(b*x^4+a)^2/sqrt(d*x^4+c),x,4,1/4*a*x*sqrt(d*x^4+c)/b/(-a*d+b*c)/(b*x^4+a)+1/16*(-a)^(1/4)*(-3*a*d+5*b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(7/4)/(a*d-b*c)^(3/2)+1/16*(-a)^(1/4)*(-3*a*d+5*b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/b^(7/4)/(a*d-b*c)^(3/2)+1/2*c^(3/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/d^(1/4)/(a*d+b*c)/sqrt(d*x^4+c)-1/32*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-3*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^2/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)-1/32*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-3*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^2/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[x^4/(b*x^4+a)^2/sqrt(d*x^4+c),x,2,-1/4*x*sqrt(d*x^4+c)/(-a*d+b*c)/(b*x^4+a)+1/16*(a*d+b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(3/4)/b^(3/4)/(a*d-b*c)^(3/2)+1/16*(a*d+b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(3/4)/b^(3/4)/(a*d-b*c)^(3/2)+1/32*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/b/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)+1/32*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/b/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[1/(b*x^4+a)^2/sqrt(d*x^4+c),x,4,1/4*b*x*sqrt(d*x^4+c)/a/(-a*d+b*c)/(b*x^4+a)-1/16*b^(1/4)*(-5*a*d+3*b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(7/4)/(a*d-b*c)^(3/2)-1/16*b^(1/4)*(-5*a*d+3*b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(7/4)/(a*d-b*c)^(3/2)+1/2*d^(3/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/c^(1/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/32*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-5*a*d+3*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)+1/32*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-5*a*d+3*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[1/x^4/(b*x^4+a)^2/sqrt(d*x^4+c),x,5,-1/12*(-4*a*d+7*b*c)*sqrt(d*x^4+c)/a^2/c/(-a*d+b*c)/x^3+1/4*b*sqrt(d*x^4+c)/a/(-a*d+b*c)/x^3/(b*x^4+a)-1/16*b^(5/4)*(-9*a*d+7*b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(11/4)/(a*d-b*c)^(3/2)-1/16*b^(5/4)*(-9*a*d+7*b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(11/4)/(a*d-b*c)^(3/2)-1/6*d^(3/4)*(a*d+7*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a^2/c^(5/4)/(a*d+b*c)/sqrt(d*x^4+c)-1/32*b*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-9*a*d+7*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^3/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)-1/32*b*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-9*a*d+7*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^3/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[1/x^8/(b*x^4+a)^2/sqrt(d*x^4+c),x,6,-1/28*(-4*a*d+11*b*c)*sqrt(d*x^4+c)/a^2/c/(-a*d+b*c)/x^7+1/84*(-20*a^2*d^2-36*a*b*c*d+77*b^2*c^2)*sqrt(d*x^4+c)/a^3/c^2/(-a*d+b*c)/x^3+1/4*b*sqrt(d*x^4+c)/a/(-a*d+b*c)/x^7/(b*x^4+a)-1/16*b^(9/4)*(-13*a*d+11*b*c)*arctan(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(15/4)/(a*d-b*c)^(3/2)-1/16*b^(9/4)*(-13*a*d+11*b*c)*arctanh(sqrt(a*d-b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(15/4)/(a*d-b*c)^(3/2)+1/42*d^(3/4)*(5*a^2*d^2+19*a*b*c*d+77*b^2*c^2)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a^3/c^(9/4)/(a*d+b*c)/sqrt(d*x^4+c)+1/32*b^2*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-13*a*d+11*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^4/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)+1/32*b^2*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-13*a*d+11*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^4/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[x^6/(b*x^4+a)^2/sqrt(d*x^4+c),x,16,1/4*sqrt(d)*x*sqrt(d*x^4+c)/b/(-a*d+b*c)/(sqrt(c)+sqrt(d)*x^2)-1/4*x^3*sqrt(d*x^4+c)/(-a*d+b*c)/(b*x^4+a)+1/16*(-a*d+3*b*c)*arctan(sqrt(-a*d+b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(1/4)/b^(5/4)/(-a*d+b*c)^(3/2)-1/16*(-a*d+3*b*c)*arctanh(sqrt(-a*d+b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(1/4)/b^(5/4)/(-a*d+b*c)^(3/2)-1/4*c^(1/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/b/(-a*d+b*c)/sqrt(d*x^4+c)+1/8*c^(1/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b/(-a*d+b*c)/sqrt(d*x^4+c)-1/16*d^(1/4)*(-a*d+3*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/(-a*d+b*c)/sqrt(d*x^4+c)-1/16*d^(1/4)*(-a*d+3*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/(-a*d+b*c)/sqrt(d*x^4+c)+1/32*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-a*d+3*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)-1/32*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-a*d+3*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/b^(3/2)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[x^2/(b*x^4+a)^2/sqrt(d*x^4+c),x,16,-1/4*sqrt(d)*x*sqrt(d*x^4+c)/a/(-a*d+b*c)/(sqrt(c)+sqrt(d)*x^2)+1/4*b*x^3*sqrt(d*x^4+c)/a/(-a*d+b*c)/(b*x^4+a)-1/16*(-3*a*d+b*c)*arctan(sqrt(-a*d+b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(5/4)/b^(1/4)/(-a*d+b*c)^(3/2)+1/16*(-3*a*d+b*c)*arctanh(sqrt(-a*d+b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(5/4)/b^(1/4)/(-a*d+b*c)^(3/2)+1/4*c^(1/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/a/(-a*d+b*c)/sqrt(d*x^4+c)-1/8*c^(1/4)*d^(1/4)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/(-a*d+b*c)/sqrt(d*x^4+c)-1/16*d^(1/4)*(-3*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/sqrt(b)/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/(-a*d+b*c)/sqrt(d*x^4+c)-1/16*d^(1/4)*(-3*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a/sqrt(b)/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/(-a*d+b*c)/sqrt(d*x^4+c)+1/32*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-3*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/sqrt(b)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)-1/32*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-3*a*d+b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a/sqrt(b)/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[1/x^2/(b*x^4+a)^2/sqrt(d*x^4+c),x,17,-1/4*(-4*a*d+5*b*c)*sqrt(d*x^4+c)/a^2/c/(-a*d+b*c)/x+1/4*sqrt(d)*(-4*a*d+5*b*c)*x*sqrt(d*x^4+c)/a^2/c/(-a*d+b*c)/(sqrt(c)+sqrt(d)*x^2)+1/4*b*sqrt(d*x^4+c)/a/(-a*d+b*c)/x/(b*x^4+a)-1/16*b^(3/4)*(-7*a*d+5*b*c)*arctan(sqrt(-a*d+b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(9/4)/(-a*d+b*c)^(3/2)+1/16*b^(3/4)*(-7*a*d+5*b*c)*arctanh(sqrt(-a*d+b*c)*x/(-a)^(1/4)/b^(1/4)/sqrt(d*x^4+c))/(-a)^(9/4)/(-a*d+b*c)^(3/2)-1/4*d^(1/4)*(-4*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticE(sin(2*arctan(d^(1/4)*x/c^(1/4))),sqrt(1/2))/a^2/c^(3/4)/(-a*d+b*c)/sqrt(d*x^4+c)+1/16*sqrt(b)*d^(1/4)*(-7*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))/(-a*d+b*c)/sqrt(d*x^4+c)+1/16*sqrt(b)*d^(1/4)*(-7*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a^2/c^(1/4)/(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))/(-a*d+b*c)/sqrt(d*x^4+c)+1/8*d^(1/4)*(-4*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*InverseJacobiAM(2*arctan(d^(1/4)*x/c^(1/4)),sqrt(1/2))/a^2/c^(3/4)/(-a*d+b*c)/sqrt(d*x^4+c)-1/32*sqrt(b)*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))*(-7*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),-1/4*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)+a*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c)+1/32*sqrt(b)*(sqrt(b)*sqrt(c)-sqrt(-a)*sqrt(d))*(-7*a*d+5*b*c)*(sqrt(c)+sqrt(d)*x^2)*sqrt((d*x^4+c)/(sqrt(c)+sqrt(d)*x^2)^2)*EllipticPi(sin(2*arctan(d^(1/4)*x/c^(1/4))),1/4*(sqrt(b)*sqrt(c)+sqrt(-a)*sqrt(d))^2/sqrt(-a)/sqrt(b)/sqrt(c)/sqrt(d),sqrt(1/2))/a^2/c^(1/4)/(sqrt(-a)*sqrt(b)*sqrt(c)-a*sqrt(d))/d^(1/4)/(-a*d+b*c)/sqrt(d*x^4+c),1],
[x^2/sqrt(x^4-1)/(x^4+1),x,-11,-1/4*arctan((x^2+1)/x/sqrt(x^4-1))-1/4*arctanh((-x^2+1)/x/sqrt(x^4-1)),1],
[(e*x)^(3/2)*sqrt(d*x^4+c)/(b*x^4+a),x,4,2/5*(e*x)^(5/2)*sqrt(d*x^4+c)*AppellF1(5/8,1,-1/2,13/8,-b*x^4/a,-d*x^4/c)/a/e/sqrt(1+d*x^4/c),1],
[sqrt(e*x)*sqrt(d*x^4+c)/(b*x^4+a),x,4,2/3*(e*x)^(3/2)*sqrt(d*x^4+c)*AppellF1(3/8,1,-1/2,11/8,-b*x^4/a,-d*x^4/c)/a/e/sqrt(1+d*x^4/c),1],
[sqrt(d*x^4+c)/sqrt(e*x)/(b*x^4+a),x,4,2*sqrt(e*x)*sqrt(d*x^4+c)*AppellF1(1/8,1,-1/2,9/8,-b*x^4/a,-d*x^4/c)/a/e/sqrt(1+d*x^4/c),1],
[sqrt(d*x^4+c)/(e*x)^(3/2)/(b*x^4+a),x,4,-2*sqrt(d*x^4+c)*AppellF1(-1/8,1,-1/2,7/8,-b*x^4/a,-d*x^4/c)/a/e/sqrt(e*x)/sqrt(1+d*x^4/c),1],
[(e*x)^m*(b*x^4+a)^2/sqrt(d*x^4+c),x,5,-b*(b*c*(5+m)-2*a*d*(7+m))*(e*x)^(1+m)*sqrt(d*x^4+c)/d^2/e/(3+m)/(7+m)+b^2*(e*x)^(5+m)*sqrt(d*x^4+c)/d/e^5/(7+m)+(a^2/(1+m)+b*c*(b*c*(5+m)-2*a*d*(7+m))/d^2/(3+m)/(7+m))*(e*x)^(1+m)*sqrt(1+d*x^4/c)*hypergeom([1/2, 1/4+1/4*m],[5/4+1/4*m],-d*x^4/c)/e/sqrt(d*x^4+c),1],
[(e*x)^m*(b*x^4+a)/sqrt(d*x^4+c),x,4,b*(e*x)^(1+m)*sqrt(d*x^4+c)/d/e/(3+m)+(a/(1+m)-b*c/d/(3+m))*(e*x)^(1+m)*sqrt(1+d*x^4/c)*hypergeom([1/2, 1/4+1/4*m],[5/4+1/4*m],-d*x^4/c)/e/sqrt(d*x^4+c),1],
[(e*x)^m/sqrt(d*x^4+c),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*hypergeom([1/2, 1/4+1/4*m],[5/4+1/4*m],-d*x^4/c)/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m/(b*x^4+a)/sqrt(d*x^4+c),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*AppellF1(1/4+1/4*m,1,1/2,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/a/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m/(b*x^4+a)^2/sqrt(d*x^4+c),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*AppellF1(1/4+1/4*m,2,1/2,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/a^2/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m/(b*x^4+a)^3/sqrt(d*x^4+c),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*AppellF1(1/4+1/4*m,3,1/2,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/a^3/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m*(b*x^4+a)^2/(d*x^4+c)^(3/2),x,5,1/2*(-a*d+b*c)^2*(e*x)^(1+m)/c/d^2/e/sqrt(d*x^4+c)+b^2*(e*x)^(1+m)*sqrt(d*x^4+c)/d^2/e/(3+m)+1/2*(a^2*d^2*(-m^2-2*m+3)+2*a*b*c*d*(m^2+4*m+3)-b^2*c^2*(m^2+6*m+5))*(e*x)^(1+m)*sqrt(1+d*x^4/c)*hypergeom([1/2, 1/4+1/4*m],[5/4+1/4*m],-d*x^4/c)/c/d^2/e/(1+m)/(3+m)/sqrt(d*x^4+c),1],
[(e*x)^m*(b*x^4+a)/(d*x^4+c)^(3/2),x,4,-b*(e*x)^(1+m)/d/e/(1-m)/sqrt(d*x^4+c)+(a/(c*m+c)+b/(-d*m+d))*(e*x)^(1+m)*sqrt(1+d*x^4/c)*hypergeom([3/2, 1/4+1/4*m],[5/4+1/4*m],-d*x^4/c)/e/sqrt(d*x^4+c),1],
[(e*x)^m/(d*x^4+c)^(3/2),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*hypergeom([3/2, 1/4+1/4*m],[5/4+1/4*m],-d*x^4/c)/c/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m/(b*x^4+a)/(d*x^4+c)^(3/2),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*AppellF1(1/4+1/4*m,1,3/2,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/a/c/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m/(b*x^4+a)^2/(d*x^4+c)^(3/2),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*AppellF1(1/4+1/4*m,2,3/2,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/a^2/c/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m/(b*x^4+a)^3/(d*x^4+c)^(3/2),x,3,(e*x)^(1+m)*sqrt(1+d*x^4/c)*AppellF1(1/4+1/4*m,3,3/2,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/a^3/c/e/(1+m)/sqrt(d*x^4+c),1],
[(e*x)^m*(b*x^4+a)^p*(d*x^4+c)^3,x,6,d*(a^2*d^2*(m^2+14*m+45)-3*a*b*c*d*(5+m)*(13+m+4*p)+3*b^2*c^2*(117+m^2+88*p+16*p^2+m*(22+8*p)))*(e*x)^(1+m)*(b*x^4+a)^(p+1)/b^3/e/(5+m+4*p)/(9+m+4*p)/(13+m+4*p)-d^2*(a*d*(9+m)-3*b*c*(13+m+4*p))*(e*x)^(5+m)*(b*x^4+a)^(p+1)/b^2/e^5/(9+m+4*p)/(13+m+4*p)+d^3*(e*x)^(9+m)*(b*x^4+a)^(p+1)/b/e^9/(13+m+4*p)+(c^3/(1+m)-a*d*(a^2*d^2*(m^2+14*m+45)-3*a*b*c*d*(5+m)*(13+m+4*p)+3*b^2*c^2*(117+m^2+88*p+16*p^2+m*(22+8*p)))/b^3/(5+m+4*p)/(9+m+4*p)/(13+m+4*p))*(e*x)^(1+m)*(b*x^4+a)^p*hypergeom([1/4+1/4*m, -p],[5/4+1/4*m],-b*x^4/a)/e/((1+b*x^4/a)^p),1],
[(e*x)^m*(b*x^4+a)^p*(d*x^4+c)^2,x,5,-d*(a*d*(5+m)-2*b*c*(9+m+4*p))*(e*x)^(1+m)*(b*x^4+a)^(p+1)/b^2/e/(5+m+4*p)/(9+m+4*p)+d^2*(e*x)^(5+m)*(b*x^4+a)^(p+1)/b/e^5/(9+m+4*p)+(c^2/(1+m)+a*d*(a*d*(5+m)-2*b*c*(9+m+4*p))/b^2/(5+m+4*p)/(9+m+4*p))*(e*x)^(1+m)*(b*x^4+a)^p*hypergeom([1/4+1/4*m, -p],[5/4+1/4*m],-b*x^4/a)/e/((1+b*x^4/a)^p),1],
[(e*x)^m*(b*x^4+a)^p*(d*x^4+c),x,4,d*(e*x)^(1+m)*(b*x^4+a)^(p+1)/b/e/(5+m+4*p)+(c/(1+m)-a*d/b/(5+m+4*p))*(e*x)^(1+m)*(b*x^4+a)^p*hypergeom([1/4+1/4*m, -p],[5/4+1/4*m],-b*x^4/a)/e/((1+b*x^4/a)^p),1],
[(e*x)^m*(b*x^4+a)^p,x,3,(e*x)^(1+m)*(b*x^4+a)^p*hypergeom([1/4+1/4*m, -p],[5/4+1/4*m],-b*x^4/a)/e/(1+m)/((1+b*x^4/a)^p),1],
[(e*x)^m*(b*x^4+a)^p/(d*x^4+c),x,3,(e*x)^(1+m)*(b*x^4+a)^p*AppellF1(1/4+1/4*m,-p,1,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/c/e/(1+m)/((1+b*x^4/a)^p),1],
[(e*x)^m*(b*x^4+a)^p/(d*x^4+c)^2,x,3,(e*x)^(1+m)*(b*x^4+a)^p*AppellF1(1/4+1/4*m,-p,2,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/c^2/e/(1+m)/((1+b*x^4/a)^p),1],
[(e*x)^m*(b*x^4+a)^p*(d*x^4+c)^p,x,4,(e*x)^(1+m)*(b*x^4+a)^p*(d*x^4+c)^p*AppellF1(1/4+1/4*m,-p,-p,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/e/(1+m)/((1+b*x^4/a)^p)/((1+d*x^4/c)^p),1],
[x^m*(b*x^4+2)^p*(d*x^4+3)^q,x,1,2^p*3^q*x^(1+m)*AppellF1(1/4+1/4*m,-p,-q,5/4+1/4*m,-1/2*b*x^4,-1/3*d*x^4)/(1+m),1],
[(e*x)^m*(b*x^4+a)^p*(d*x^4+c)^q,x,4,(e*x)^(1+m)*(b*x^4+a)^p*(d*x^4+c)^q*AppellF1(1/4+1/4*m,-p,-q,5/4+1/4*m,-b*x^4/a,-d*x^4/c)/e/(1+m)/((1+b*x^4/a)^p)/((1+d*x^4/c)^q),1]]: