lst:=[[(B*C+(B*D+A)*x)/sqrt(e*x)/sqrt(d*x+c)/(b*x^2+a),x,0,-(sqrt(b)*B*C-sqrt(-a)*(B*D+A))*arctan(sqrt(sqrt(b)*c-sqrt(-a)*d)*sqrt(e*x)/(-a)^(1/4)/sqrt(e)/sqrt(d*x+c))/(-a)^(3/4)/sqrt(b)/sqrt(sqrt(b)*c-sqrt(-a)*d)/sqrt(e)-(sqrt(b)*B*C+sqrt(-a)*(B*D+A))*arctanh(sqrt(sqrt(b)*c+sqrt(-a)*d)*sqrt(e*x)/(-a)^(1/4)/sqrt(e)/sqrt(d*x+c))/(-a)^(3/4)/sqrt(b)/sqrt(sqrt(b)*c+sqrt(-a)*d)/sqrt(e),1],
[(A*x+B*(D*x+C))/sqrt(e*x)/sqrt(d*x+c)/(b*x^2+a),x,0,-(sqrt(b)*B*C-sqrt(-a)*(B*D+A))*arctan(sqrt(sqrt(b)*c-sqrt(-a)*d)*sqrt(e*x)/(-a)^(1/4)/sqrt(e)/sqrt(d*x+c))/(-a)^(3/4)/sqrt(b)/sqrt(sqrt(b)*c-sqrt(-a)*d)/sqrt(e)-(sqrt(b)*B*C+sqrt(-a)*(B*D+A))*arctanh(sqrt(sqrt(b)*c+sqrt(-a)*d)*sqrt(e*x)/(-a)^(1/4)/sqrt(e)/sqrt(d*x+c))/(-a)^(3/4)/sqrt(b)/sqrt(sqrt(b)*c+sqrt(-a)*d)/sqrt(e),1],
[x^3*(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,10,1/128*a^2*(5*a*C*d-8*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b^3-1/192*a*(5*a*C*d-8*b*(A*d+B*c))*x^3*sqrt(b*x^2+a)/b^2-1/48*(5*a*C*d-8*b*(A*d+B*c))*x^5*sqrt(b*x^2+a)/b-1/3*a*(A*b*c-B*a*d-C*a*c)*(b*x^2+a)^(3/2)/b^3+1/8*C*d*x^5*(b*x^2+a)^(3/2)/b+1/5*(A*b*c-2*a*(B*d+C*c))*(b*x^2+a)^(5/2)/b^3+1/7*(B*d+C*c)*(b*x^2+a)^(7/2)/b^3-1/128*a^3*(5*a*C*d-8*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,9,1/16*a*(2*A*b*c-B*a*d-C*a*c)*x*sqrt(b*x^2+a)/b^2+1/8*(2*A*b*c-B*a*d-C*a*c)*x^3*sqrt(b*x^2+a)/b+1/3*a*(a*C*d-b*(A*d+B*c))*(b*x^2+a)^(3/2)/b^3+1/6*(B*d+C*c)*x^3*(b*x^2+a)^(3/2)/b+1/5*(A*b*d+B*b*c-2*C*a*d)*(b*x^2+a)^(5/2)/b^3+1/7*C*d*(b*x^2+a)^(7/2)/b^3-1/16*a^2*(2*A*b*c-B*a*d-C*a*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,9,-1/16*a*(a*C*d-2*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b^2-1/8*(a*C*d-2*b*(A*d+B*c))*x^3*sqrt(b*x^2+a)/b+1/3*(A*b*c-a*(B*d+C*c))*(b*x^2+a)^(3/2)/b^2+1/6*C*d*x^3*(b*x^2+a)^(3/2)/b+1/5*(B*d+C*c)*(b*x^2+a)^(5/2)/b^2+1/16*a^2*(a*C*d-2*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,8,1/8*(4*A*b*c-B*a*d-C*a*c)*x*sqrt(b*x^2+a)/b+1/3*(A*b*d+B*b*c-C*a*d)*(b*x^2+a)^(3/2)/b^2+1/4*(B*d+C*c)*x*(b*x^2+a)^(3/2)/b+1/5*C*d*(b*x^2+a)^(5/2)/b^2+1/8*a*(4*A*b*c-B*a*d-C*a*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x,x,10,A*c*sqrt(b*x^2+a)-1/8*(a*C*d-4*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b+1/3*(B*d+C*c)*(b*x^2+a)^(3/2)/b+1/4*C*d*x*(b*x^2+a)^(3/2)/b-1/8*a*(a*C*d-4*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-sqrt(a)*A*c*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^2,x,10,(A*d+B*c)*sqrt(b*x^2+a)+1/2*(2*A*b*c+B*a*d+C*a*c)*x*sqrt(b*x^2+a)/a+1/3*C*d*(b*x^2+a)^(3/2)/b-A*c*(b*x^2+a)^(3/2)/a/x+1/2*(2*A*b*c+B*a*d+C*a*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-sqrt(a)*(A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^3,x,10,1/2*(A*b*c+2*a*(B*d+C*c))*sqrt(b*x^2+a)/a+1/2*(a*C*d+2*b*(A*d+B*c))*x*sqrt(b*x^2+a)/a-1/2*A*c*(b*x^2+a)^(3/2)/a/x^2-(A*d+B*c)*(b*x^2+a)^(3/2)/a/x+1/2*(a*C*d+2*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*(A*b*c+2*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^4,x,10,1/2*(A*b*d+B*b*c+2*C*a*d)*sqrt(b*x^2+a)/a-(B*d+C*c)*sqrt(b*x^2+a)/x-1/3*A*c*(b*x^2+a)^(3/2)/a/x^3-1/2*(A*d+B*c)*(b*x^2+a)^(3/2)/a/x^2+sqrt(b)*(B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-1/2*(A*b*d+B*b*c+2*C*a*d)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^5,x,10,1/8*(A*b*c-4*a*(B*d+C*c))*sqrt(b*x^2+a)/a/x^2-C*d*sqrt(b*x^2+a)/x-1/4*A*c*(b*x^2+a)^(3/2)/a/x^4-1/3*(A*d+B*c)*(b*x^2+a)^(3/2)/a/x^3+sqrt(b)*C*d*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/8*b*(A*b*c-4*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^6,x,8,-1/8*(4*a*C*d-b*(A*d+B*c))*sqrt(b*x^2+a)/a/x^2-1/5*A*c*(b*x^2+a)^(3/2)/a/x^5-1/4*(A*d+B*c)*(b*x^2+a)^(3/2)/a/x^4+1/15*(2*A*b*c-5*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a^2/x^3-1/8*b*(4*a*C*d-b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^7,x,9,1/8*(A*b*c-2*a*(B*d+C*c))*sqrt(b*x^2+a)/a/x^4+1/16*b*(A*b*c-2*a*(B*d+C*c))*sqrt(b*x^2+a)/a^2/x^2-1/6*A*c*(b*x^2+a)^(3/2)/a/x^6-1/5*(A*d+B*c)*(b*x^2+a)^(3/2)/a/x^5-1/15*(5*a*C*d-2*b*(A*d+B*c))*(b*x^2+a)^(3/2)/a^2/x^3-1/16*b^2*(A*b*c-2*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^8,x,10,-1/8*(2*a*C*d-b*(A*d+B*c))*sqrt(b*x^2+a)/a/x^4-1/16*b*(2*a*C*d-b*(A*d+B*c))*sqrt(b*x^2+a)/a^2/x^2-1/7*A*c*(b*x^2+a)^(3/2)/a/x^7-1/6*(A*d+B*c)*(b*x^2+a)^(3/2)/a/x^6+1/35*(4*A*b*c-7*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a^2/x^5-2/105*b*(4*A*b*c-7*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a^3/x^3+1/16*b^2*(2*a*C*d-b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^9,x,11,1/48*(5*A*b*c-8*a*(B*d+C*c))*sqrt(b*x^2+a)/a/x^6+1/192*b*(5*A*b*c-8*a*(B*d+C*c))*sqrt(b*x^2+a)/a^2/x^4-1/128*b^2*(5*A*b*c-8*a*(B*d+C*c))*sqrt(b*x^2+a)/a^3/x^2-1/8*A*c*(b*x^2+a)^(3/2)/a/x^8-1/7*(A*d+B*c)*(b*x^2+a)^(3/2)/a/x^7-1/35*(7*a*C*d-4*b*(A*d+B*c))*(b*x^2+a)^(3/2)/a^2/x^5+2/105*b*(7*a*C*d-4*b*(A*d+B*c))*(b*x^2+a)^(3/2)/a^3/x^3+1/128*b^3*(5*A*b*c-8*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^3*(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,10,-1/128*a^2*(8*b*c*(2*A*d+B*c)-5*a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/b^3+1/192*a*(8*b*c*(2*A*d+B*c)-5*a*d*(B*d+2*C*c))*x^3*sqrt(b*x^2+a)/b^2+1/48*(8*b*c*(2*A*d+B*c)-5*a*d*(B*d+2*C*c))*x^5*sqrt(b*x^2+a)/b-1/3*a*(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*(b*x^2+a)^(3/2)/b^4+1/8*d*(B*d+2*C*c)*x^5*(b*x^2+a)^(3/2)/b+1/5*(A*b*(-2*a*d^2+b*c^2)+a*(3*a*C*d^2-2*b*c*(2*B*d+C*c)))*(b*x^2+a)^(5/2)/b^4-1/7*(3*a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(7/2)/b^4+1/9*C*d^2*(b*x^2+a)^(9/2)/b^4+1/128*a^3*(8*b*c*(2*A*d+B*c)-5*a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,10,1/128*a*(8*A*b*(-a*d^2+2*b*c^2)+a*(5*a*C*d^2-8*b*c*(2*B*d+C*c)))*x*sqrt(b*x^2+a)/b^3+1/64*(8*A*b*(-a*d^2+2*b*c^2)+a*(5*a*C*d^2-8*b*c*(2*B*d+C*c)))*x^3*sqrt(b*x^2+a)/b^2-1/3*a*(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/b^3-1/48*(5*a*C*d^2-8*b*(A*d^2+2*B*c*d+C*c^2))*x^3*(b*x^2+a)^(3/2)/b^2+1/8*C*d^2*x^5*(b*x^2+a)^(3/2)/b+1/5*(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*(b*x^2+a)^(5/2)/b^3+1/7*d*(B*d+2*C*c)*(b*x^2+a)^(7/2)/b^3-1/128*a^2*(8*A*b*(-a*d^2+2*b*c^2)+a*(5*a*C*d^2-8*b*c*(2*B*d+C*c)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x*(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,9,1/16*a*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/b^2+1/8*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x^3*sqrt(b*x^2+a)/b+1/3*(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*(b*x^2+a)^(3/2)/b^3+1/6*d*(B*d+2*C*c)*x^3*(b*x^2+a)^(3/2)/b-1/5*(2*a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(5/2)/b^3+1/7*C*d^2*(b*x^2+a)^(7/2)/b^3-1/16*a^2*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A),x,9,1/16*(8*A*b^2*c^2+a*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2)))*x*sqrt(b*x^2+a)/b^2+1/3*(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/b^2-1/8*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2))*x*(b*x^2+a)^(3/2)/b^2+1/6*C*d^2*x^3*(b*x^2+a)^(3/2)/b+1/5*d*(B*d+2*C*c)*(b*x^2+a)^(5/2)/b^2+1/16*a*(8*A*b^2*c^2+a*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x,x,10,A*c^2*sqrt(b*x^2+a)+1/8*(4*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/b-1/3*(a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(3/2)/b^2+1/4*d*(B*d+2*C*c)*x*(b*x^2+a)^(3/2)/b+1/5*C*d^2*(b*x^2+a)^(5/2)/b^2+1/8*a*(4*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-sqrt(a)*A*c^2*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^2,x,11,c*(2*A*d+B*c)*sqrt(b*x^2+a)+1/8*(4*A*b*(a*d^2+2*b*c^2)-a*(a*C*d^2-4*b*c*(2*B*d+C*c)))*x*sqrt(b*x^2+a)/a/b+1/3*d*(B*d+2*C*c)*(b*x^2+a)^(3/2)/b-A*c^2*(b*x^2+a)^(3/2)/a/x+1/4*C*d^2*x*(b*x^2+a)^(3/2)/b+1/8*(4*A*b*(a*d^2+2*b*c^2)-a*(a*C*d^2-4*b*c*(2*B*d+C*c)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-sqrt(a)*c*(2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^3,x,11,(A*d^2+2*B*c*d+C*c^2)*sqrt(b*x^2+a)-1/2*A*c^2*sqrt(b*x^2+a)/x^2+1/2*(2*b*c*(2*A*d+B*c)+a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/a+1/3*C*d^2*(b*x^2+a)^(3/2)/b-c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x+1/2*(2*b*c*(2*A*d+B*c)+a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*(2*a*c*(2*B*d+C*c)+A*(2*a*d^2+b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^4,x,11,1/2*(b*c*(2*A*d+B*c)+2*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a+1/2*(a*C*d^2+2*b*(A*d^2+2*B*c*d+C*c^2))*x*sqrt(b*x^2+a)/a-1/3*A*c^2*(b*x^2+a)^(3/2)/a/x^3-1/2*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x^2-(A*d^2+2*B*c*d+C*c^2)*(b*x^2+a)^(3/2)/a/x+1/2*(a*C*d^2+2*b*(A*d^2+2*B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*(b*c*(2*A*d+B*c)+2*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^5,x,11,C*d^2*sqrt(b*x^2+a)-1/4*A*c^2*sqrt(b*x^2+a)/x^4-1/8*(4*a*c*(2*B*d+C*c)+A*(4*a*d^2+b*c^2))*sqrt(b*x^2+a)/a/x^2-d*(B*d+2*C*c)*sqrt(b*x^2+a)/x-1/3*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x^3+sqrt(b)*d*(B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/8*(A*b*(-4*a*d^2+b*c^2)-4*a*(2*a*C*d^2+b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^6,x,11,1/8*(b*c*(2*A*d+B*c)-4*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a/x^2-C*d^2*sqrt(b*x^2+a)/x-1/5*A*c^2*(b*x^2+a)^(3/2)/a/x^5-1/4*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x^4-1/15*(5*a*c*(2*B*d+C*c)-A*(-5*a*d^2+2*b*c^2))*(b*x^2+a)^(3/2)/a^2/x^3+sqrt(b)*C*d^2*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/8*b*(b*c*(2*A*d+B*c)-4*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^7,x,9,-1/6*A*c^2*sqrt(b*x^2+a)/x^6-1/24*(6*a*c*(2*B*d+C*c)+A*(6*a*d^2+b*c^2))*sqrt(b*x^2+a)/a/x^4+1/16*(A*b*(-2*a*d^2+b*c^2)-2*a*(4*a*C*d^2+b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^2/x^2-1/5*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x^5+1/15*(2*b*c*(2*A*d+B*c)-5*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a^2/x^3-1/16*b*(A*b*(-2*a*d^2+b*c^2)+2*a*(4*a*C*d^2-b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^8,x,10,1/8*(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a/x^4+1/16*b*(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^2/x^2-1/7*A*c^2*(b*x^2+a)^(3/2)/a/x^7-1/6*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x^6-1/35*(7*a*c*(2*B*d+C*c)-A*(-7*a*d^2+4*b*c^2))*(b*x^2+a)^(3/2)/a^2/x^5-1/105*(2*A*b*(-7*a*d^2+4*b*c^2)+7*a*(5*a*C*d^2-2*b*c*(2*B*d+C*c)))*(b*x^2+a)^(3/2)/a^3/x^3-1/16*b^2*(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^9,x,11,-1/8*A*c^2*sqrt(b*x^2+a)/x^8-1/48*(8*a*c*(2*B*d+C*c)+A*(8*a*d^2+b*c^2))*sqrt(b*x^2+a)/a/x^6+1/192*(A*b*(-8*a*d^2+5*b*c^2)-8*a*(6*a*C*d^2+b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^2/x^4-1/128*b*(A*b*(-8*a*d^2+5*b*c^2)+8*a*(2*a*C*d^2-b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^3/x^2-1/7*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x^7+1/35*(4*b*c*(2*A*d+B*c)-7*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a^2/x^5-2/105*b*(4*b*c*(2*A*d+B*c)-7*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a^3/x^3+1/128*b^2*(A*b*(-8*a*d^2+5*b*c^2)+8*a*(2*a*C*d^2-b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[(d*x+c)^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^10,x,12,1/48*(5*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a/x^6+1/192*b*(5*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^2/x^4-1/128*b^2*(5*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^3/x^2-1/9*A*c^2*(b*x^2+a)^(3/2)/a/x^9-1/8*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)/a/x^8-1/21*(3*a*c*(2*B*d+C*c)-A*(-3*a*d^2+2*b*c^2))*(b*x^2+a)^(3/2)/a^2/x^7-1/105*(4*A*b*(-3*a*d^2+2*b*c^2)+3*a*(7*a*C*d^2-4*b*c*(2*B*d+C*c)))*(b*x^2+a)^(3/2)/a^3/x^5+2/315*b*(4*A*b*(-3*a*d^2+2*b*c^2)+3*a*(7*a*C*d^2-4*b*c*(2*B*d+C*c)))*(b*x^2+a)^(3/2)/a^4/x^3+1/128*b^3*(5*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/(d*x+c),x,9,1/8*(8*b*c^2*(A*d^2-B*c*d+C*c^2)+d*(a*d^2*(-B*d+C*c)-4*b*c*(A*d^2-B*c*d+C*c^2))*x)*sqrt(b*x^2+a)/b/d^5-1/60*(8*a*C*d^2-b*(20*A*d^2-35*B*c*d+47*C*c^2))*(b*x^2+a)^(3/2)/b^2/d^3-1/20*(-5*B*d+13*C*c)*(d*x+c)*(b*x^2+a)^(3/2)/b/d^3+1/5*C*(d*x+c)^2*(b*x^2+a)^(3/2)/b/d^3+1/8*(a^2*d^4*(-B*d+C*c)-8*b^2*c^3*(A*d^2-B*c*d+C*c^2)-4*a*b*c*d^2*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^6-c^2*sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^6,1],
[x*sqrt(b*x^2+a)*(C*x^2+B*x+A)/(d*x+c),x,8,-1/8*(8*b*c*(A*d^2-B*c*d+C*c^2)-d^3*(4*A*b-a*C+4*b*c*(-B*d+C*c)/d^2)*x)*sqrt(b*x^2+a)/b/d^4-1/12*(-4*B*d+7*C*c)*(b*x^2+a)^(3/2)/b/d^2+1/4*C*(d*x+c)*(b*x^2+a)^(3/2)/b/d^2+1/8*(2*a*b*c^2*C+(a*d^2+2*b*c^2)*(4*A*b-a*C+4*b*c*(-B*d+C*c)/d^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^3+c*sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^5,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/(d*x+c),x,7,-1/2*(2*B*c-2*c^2*C/d-2*A*d+(-B*d+C*c)*x)*sqrt(b*x^2+a)/d^2+1/3*C*(b*x^2+a)^(3/2)/b/d-1/2*(2*A*b*c*d-(B-c*C/d)*(a*d^2+2*b*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^3-sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^4,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x/(d*x+c),x,9,-(-B*d+C*c)*sqrt(b*x^2+a)/d^2+1/2*C*x*sqrt(b*x^2+a)/d+1/2*(a*C*d^2+2*b*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^3+sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c/d^3-sqrt(a)*A*arctanh(sqrt(b*x^2+a)/sqrt(a))/c,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^2/(d*x+c),x,10,C*sqrt(b*x^2+a)/d-A*sqrt(b*x^2+a)/c/x-sqrt(b)*(-B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^2-sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/d^2-sqrt(a)*(-A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^2,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^3/(d*x+c),x,10,-1/2*A*sqrt(b*x^2+a)/c/x^2-(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x+sqrt(b)*C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d+sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/d-1/2*(2*a*c*(-B*d+C*c)+A*(2*a*d^2+b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^3,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^4/(d*x+c),x,9,-1/3*A*sqrt(b*x^2+a)/c/x^3-1/2*(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x^2-1/3*(3*a*c*(-B*d+C*c)+A*(3*a*d^2+b*c^2))*sqrt(b*x^2+a)/a/c^3/x-sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^4-1/2*(b*c^2*(-A*d+B*c)-2*a*d*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^4,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^5/(d*x+c),x,10,-1/4*A*sqrt(b*x^2+a)/c/x^4-1/3*(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x^3-1/8*(4*a*c*(-B*d+C*c)+A*(4*a*d^2+b*c^2))*sqrt(b*x^2+a)/a/c^3/x^2-1/3*(b*c^2*(-A*d+B*c)-3*a*d*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/a/c^4/x+d*sqrt(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^5-1/8*(4*a*c*(-B*d+C*c)*(2*a*d^2+b*c^2)-A*(-8*a^2*d^4-4*a*b*c^2*d^2+b^2*c^4))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^5,1],
[x^3*sqrt(b*x^2+a)*(C*x^2+B*x+A)/(d*x+c)^2,x,11,-1/15*(2*a^2*C*d^4-5*a*b*d^2*(A*d^2-2*B*c*d+3*C*c^2)-15*b^2*c^2*(3*A*d^2-4*B*c*d+5*C*c^2))*sqrt(b*x^2+a)/b^2/d^6-1/8*(a*d^2*(-B*d+2*C*c)+4*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*x*sqrt(b*x^2+a)/b/d^5+1/15*(a*C*d^2+5*b*(A*d^2-2*B*c*d+3*C*c^2))*x^2*sqrt(b*x^2+a)/b/d^4-1/4*(-B*d+2*C*c)*x^3*sqrt(b*x^2+a)/d^3+1/5*C*x^4*sqrt(b*x^2+a)/d^2+c^3*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^6/(d*x+c)+1/8*(a^2*d^4*(-B*d+2*C*c)-4*a*b*c*d^2*(2*A*d^2-3*B*c*d+4*C*c^2)-8*b^2*c^3*(4*A*d^2-5*B*c*d+6*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^7-c^2*(a*d^2*(3*A*d^2-4*B*c*d+5*C*c^2)+b*c^2*(4*A*d^2-5*B*c*d+6*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^7/sqrt(a*d^2+b*c^2),1],
[x^2*sqrt(b*x^2+a)*(C*x^2+B*x+A)/(d*x+c)^2,x,10,-1/3*(a*d^2*(-B*d+2*C*c)+3*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*sqrt(b*x^2+a)/b/d^5+1/8*(a*C*d^2+4*b*(A*d^2-2*B*c*d+3*C*c^2))*x*sqrt(b*x^2+a)/b/d^4-1/3*(-B*d+2*C*c)*x^2*sqrt(b*x^2+a)/d^3+1/4*C*x^3*sqrt(b*x^2+a)/d^2-c^2*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^5/(d*x+c)-1/8*(a^2*C*d^4-4*a*b*d^2*(A*d^2-2*B*c*d+3*C*c^2)-8*b^2*c^2*(3*A*d^2-4*B*c*d+5*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^6+c*(a*d^2*(2*A*d^2-3*B*c*d+4*C*c^2)+b*c^2*(3*A*d^2-4*B*c*d+5*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^6/sqrt(a*d^2+b*c^2),1],
[x*sqrt(b*x^2+a)*(C*x^2+B*x+A)/(d*x+c)^2,x,9,1/3*(a*C*d^2+3*b*(A*d^2-2*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/b/d^4-1/2*(-B*d+2*C*c)*x*sqrt(b*x^2+a)/d^3+1/3*C*x^2*sqrt(b*x^2+a)/d^2+c*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^4/(d*x+c)-1/2*(a*d^2*(-B*d+2*C*c)+2*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^5-(a*d^2*(A*d^2-2*B*c*d+3*C*c^2)+b*c^2*(2*A*d^2-3*B*c*d+4*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^5/sqrt(a*d^2+b*c^2),1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/(d*x+c)^2,x,8,-(-B*d+2*C*c)*sqrt(b*x^2+a)/d^3+1/2*C*x*sqrt(b*x^2+a)/d^2-(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^3/(d*x+c)+1/2*(a*C*d^2+2*b*(A*d^2-2*B*c*d+3*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^4+(a*d^2*(-B*d+2*C*c)+b*c*(A*d^2-2*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^4/sqrt(a*d^2+b*c^2),1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x/(d*x+c)^2,x,11,C*sqrt(b*x^2+a)/d^2+(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^2/(d*x+c)-sqrt(b)*(-B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^3-(b*c^3*(-B*d+2*C*c)+a*d^2*(-A*d^2+C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/d^3/sqrt(a*d^2+b*c^2)-sqrt(a)*A*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^2,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^2/(d*x+c)^2,x,11,-(2*A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c^2/d^2/x+(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^2/x/(d*x+c)+sqrt(b)*C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^2+(a*d^3*(-2*A*d+B*c)+b*(-A*c^2*d^2+C*c^4))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/d^2/sqrt(a*d^2+b*c^2)-sqrt(a)*(-2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^3,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^3/(d*x+c)^2,x,10,-1/2*(3*A*d^2-2*B*c*d+2*C*c^2)*sqrt(b*x^2+a)/c^2/d^2/x^2+(3*A*d^2-2*B*c*d+C*c^2)*sqrt(b*x^2+a)/c^3/d/x+(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^2/x^2/(d*x+c)-(b*c^2*(-2*A*d+B*c)-a*d*(3*A*d^2-2*B*c*d+C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^4/sqrt(a*d^2+b*c^2)-1/2*(2*a*c*(-2*B*d+C*c)+A*(6*a*d^2+b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^4,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^4/(d*x+c)^2,x,11,-1/3*(4*A*d^2-3*B*c*d+3*C*c^2)*sqrt(b*x^2+a)/c^2/d^2/x^3+1/2*(4*A*d^2-3*B*c*d+2*C*c^2)*sqrt(b*x^2+a)/c^3/d/x^2-1/3*(12*A*a*d^2+A*b*c^2-9*B*a*c*d+6*C*a*c^2)*sqrt(b*x^2+a)/a/c^4/x+(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^2/x^3/(d*x+c)-(b*c^2*(3*A*d^2-2*B*c*d+C*c^2)+a*d^2*(4*A*d^2-3*B*c*d+2*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^5/sqrt(a*d^2+b*c^2)-1/2*(b*c^2*(-2*A*d+B*c)-2*a*d*(4*A*d^2-3*B*c*d+2*C*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^5,1],
[sqrt(b*x^2+a)*(C*x^2+B*x+A)/x^5/(d*x+c)^2,x,12,-1/4*(5*A*d^2-4*B*c*d+4*C*c^2)*sqrt(b*x^2+a)/c^2/d^2/x^4+1/3*(5*A*d^2-4*B*c*d+3*C*c^2)*sqrt(b*x^2+a)/c^3/d/x^3-1/8*(20*A*a*d^2+A*b*c^2-16*B*a*c*d+12*C*a*c^2)*sqrt(b*x^2+a)/a/c^4/x^2-1/3*(b*c^2*(-2*A*d+B*c)-3*a*d*(5*A*d^2-4*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/a/c^5/x+(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^2/x^4/(d*x+c)+d*(b*c^2*(4*A*d^2-3*B*c*d+2*C*c^2)+a*d^2*(5*A*d^2-4*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^6/sqrt(a*d^2+b*c^2)+1/8*(A*(-40*a^2*d^4-12*a*b*c^2*d^2+b^2*c^4)-4*a*c*(2*a*d^2*(-4*B*d+3*C*c)+b*c^2*(-2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^6,1],
[x^3*(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,11,3/256*a^3*(a*C*d-2*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b^3-1/128*a^2*(a*C*d-2*b*(A*d+B*c))*x^3*sqrt(b*x^2+a)/b^2-1/32*a*(a*C*d-2*b*(A*d+B*c))*x^5*sqrt(b*x^2+a)/b-1/16*(a*C*d-2*b*(A*d+B*c))*x^5*(b*x^2+a)^(3/2)/b-1/5*a*(A*b*c-B*a*d-C*a*c)*(b*x^2+a)^(5/2)/b^3+1/10*C*d*x^5*(b*x^2+a)^(5/2)/b+1/7*(A*b*c-2*a*(B*d+C*c))*(b*x^2+a)^(7/2)/b^3+1/9*(B*d+C*c)*(b*x^2+a)^(9/2)/b^3-3/256*a^4*(a*C*d-2*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,10,1/128*a^2*(8*A*b*c-3*a*(B*d+C*c))*x*sqrt(b*x^2+a)/b^2+1/64*a*(8*A*b*c-3*a*(B*d+C*c))*x^3*sqrt(b*x^2+a)/b+1/48*(8*A*b*c-3*a*(B*d+C*c))*x^3*(b*x^2+a)^(3/2)/b+1/5*a*(a*C*d-b*(A*d+B*c))*(b*x^2+a)^(5/2)/b^3+1/8*(B*d+C*c)*x^3*(b*x^2+a)^(5/2)/b+1/7*(A*b*d+B*b*c-2*C*a*d)*(b*x^2+a)^(7/2)/b^3+1/9*C*d*(b*x^2+a)^(9/2)/b^3-1/128*a^3*(8*A*b*c-3*a*(B*d+C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,10,-1/128*a^2*(3*a*C*d-8*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b^2-1/64*a*(3*a*C*d-8*b*(A*d+B*c))*x^3*sqrt(b*x^2+a)/b-1/48*(3*a*C*d-8*b*(A*d+B*c))*x^3*(b*x^2+a)^(3/2)/b+1/5*(A*b*c-a*(B*d+C*c))*(b*x^2+a)^(5/2)/b^2+1/8*C*d*x^3*(b*x^2+a)^(5/2)/b+1/7*(B*d+C*c)*(b*x^2+a)^(7/2)/b^2+1/128*a^3*(3*a*C*d-8*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,9,1/16*a*(6*A*b*c-B*a*d-C*a*c)*x*sqrt(b*x^2+a)/b+1/24*(6*A*b*c-B*a*d-C*a*c)*x*(b*x^2+a)^(3/2)/b+1/5*(A*b*d+B*b*c-C*a*d)*(b*x^2+a)^(5/2)/b^2+1/6*(B*d+C*c)*x*(b*x^2+a)^(5/2)/b+1/7*C*d*(b*x^2+a)^(7/2)/b^2+1/16*a^2*(6*A*b*c-B*a*d-C*a*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x,x,12,a*A*c*sqrt(b*x^2+a)-1/16*a*(a*C*d-6*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b+1/3*A*c*(b*x^2+a)^(3/2)-1/24*(a*C*d-6*b*(A*d+B*c))*x*(b*x^2+a)^(3/2)/b+1/5*(B*d+C*c)*(b*x^2+a)^(5/2)/b+1/6*C*d*x*(b*x^2+a)^(5/2)/b-1/16*a^2*(a*C*d-6*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-a^(3/2)*A*c*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^2,x,12,a*(A*d+B*c)*sqrt(b*x^2+a)+3/8*(4*A*b*c+B*a*d+C*a*c)*x*sqrt(b*x^2+a)+1/3*(A*d+B*c)*(b*x^2+a)^(3/2)+1/4*(4*A*b*c+B*a*d+C*a*c)*x*(b*x^2+a)^(3/2)/a+1/5*C*d*(b*x^2+a)^(5/2)/b-A*c*(b*x^2+a)^(5/2)/a/x+3/8*a*(4*A*b*c+B*a*d+C*a*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-a^(3/2)*(A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^3,x,12,1/2*(3*A*b*c+2*a*(B*d+C*c))*sqrt(b*x^2+a)+3/8*(a*C*d+4*b*(A*d+B*c))*x*sqrt(b*x^2+a)+1/6*(3*A*b*c+2*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a+1/4*(a*C*d+4*b*(A*d+B*c))*x*(b*x^2+a)^(3/2)/a-1/2*A*c*(b*x^2+a)^(5/2)/a/x^2-(A*d+B*c)*(b*x^2+a)^(5/2)/a/x+3/8*a*(a*C*d+4*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*sqrt(a)*(3*A*b*c+2*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^4,x,12,1/2*(2*a*C*d+3*b*(A*d+B*c))*sqrt(b*x^2+a)+1/2*b*(2*A*b*c+3*a*(B*d+C*c))*x*sqrt(b*x^2+a)/a+1/6*(2*a*C*d+3*b*(A*d+B*c))*(b*x^2+a)^(3/2)/a-1/3*(2*A*b*c+3*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a/x-1/3*A*c*(b*x^2+a)^(5/2)/a/x^3-1/2*(A*d+B*c)*(b*x^2+a)^(5/2)/a/x^2+1/2*sqrt(b)*(2*A*b*c+3*a*(B*d+C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-1/2*sqrt(a)*(2*a*C*d+3*b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^5,x,12,3/8*b*(A*b*c+4*a*(B*d+C*c))*sqrt(b*x^2+a)/a+1/2*b*(3*a*C*d+2*b*(A*d+B*c))*x*sqrt(b*x^2+a)/a-1/8*(A*b*c+4*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a/x^2-1/3*(3*a*C*d+2*b*(A*d+B*c))*(b*x^2+a)^(3/2)/a/x-1/4*A*c*(b*x^2+a)^(5/2)/a/x^4-1/3*(A*d+B*c)*(b*x^2+a)^(5/2)/a/x^3+1/2*sqrt(b)*(3*a*C*d+2*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-3/8*b*(A*b*c+4*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^6,x,12,3/8*b*(A*b*d+B*b*c+4*C*a*d)*sqrt(b*x^2+a)/a-b*(B*d+C*c)*sqrt(b*x^2+a)/x-1/3*(B*d+C*c)*(b*x^2+a)^(3/2)/x^3-1/8*(A*b*d+B*b*c+4*C*a*d)*(b*x^2+a)^(3/2)/a/x^2-1/5*A*c*(b*x^2+a)^(5/2)/a/x^5-1/4*(A*d+B*c)*(b*x^2+a)^(5/2)/a/x^4+b^(3/2)*(B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-3/8*b*(A*b*d+B*b*c+4*C*a*d)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^7,x,12,1/16*b*(A*b*c-6*a*(B*d+C*c))*sqrt(b*x^2+a)/a/x^2-b*C*d*sqrt(b*x^2+a)/x+1/24*(A*b*c-6*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a/x^4-1/3*C*d*(b*x^2+a)^(3/2)/x^3-1/6*A*c*(b*x^2+a)^(5/2)/a/x^6-1/5*(A*d+B*c)*(b*x^2+a)^(5/2)/a/x^5+b^(3/2)*C*d*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/16*b^2*(A*b*c-6*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^8,x,9,-1/16*b*(6*a*C*d-b*(A*d+B*c))*sqrt(b*x^2+a)/a/x^2-1/24*(6*a*C*d-b*(A*d+B*c))*(b*x^2+a)^(3/2)/a/x^4-1/7*A*c*(b*x^2+a)^(5/2)/a/x^7-1/6*(A*d+B*c)*(b*x^2+a)^(5/2)/a/x^6+1/35*(2*A*b*c-7*a*(B*d+C*c))*(b*x^2+a)^(5/2)/a^2/x^5-1/16*b^2*(6*a*C*d-b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^9,x,10,1/64*b*(3*A*b*c-8*a*(B*d+C*c))*sqrt(b*x^2+a)/a/x^4+1/128*b^2*(3*A*b*c-8*a*(B*d+C*c))*sqrt(b*x^2+a)/a^2/x^2+1/48*(3*A*b*c-8*a*(B*d+C*c))*(b*x^2+a)^(3/2)/a/x^6-1/8*A*c*(b*x^2+a)^(5/2)/a/x^8-1/7*(A*d+B*c)*(b*x^2+a)^(5/2)/a/x^7-1/35*(7*a*C*d-2*b*(A*d+B*c))*(b*x^2+a)^(5/2)/a^2/x^5-1/128*b^3*(3*A*b*c-8*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^10,x,11,-1/64*b*(8*a*C*d-3*b*(A*d+B*c))*sqrt(b*x^2+a)/a/x^4-1/128*b^2*(8*a*C*d-3*b*(A*d+B*c))*sqrt(b*x^2+a)/a^2/x^2-1/48*(8*a*C*d-3*b*(A*d+B*c))*(b*x^2+a)^(3/2)/a/x^6-1/9*A*c*(b*x^2+a)^(5/2)/a/x^9-1/8*(A*d+B*c)*(b*x^2+a)^(5/2)/a/x^8+1/63*(4*A*b*c-9*a*(B*d+C*c))*(b*x^2+a)^(5/2)/a^2/x^7-2/315*b*(4*A*b*c-9*a*(B*d+C*c))*(b*x^2+a)^(5/2)/a^3/x^5+1/128*b^3*(8*a*C*d-3*b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[x^3*(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,11,-3/256*a^3*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/b^3+1/128*a^2*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x^3*sqrt(b*x^2+a)/b^2+1/32*a*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x^5*sqrt(b*x^2+a)/b+1/16*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x^5*(b*x^2+a)^(3/2)/b-1/5*a*(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*(b*x^2+a)^(5/2)/b^4+1/10*d*(B*d+2*C*c)*x^5*(b*x^2+a)^(5/2)/b+1/7*(A*b*(-2*a*d^2+b*c^2)+a*(3*a*C*d^2-2*b*c*(2*B*d+C*c)))*(b*x^2+a)^(7/2)/b^4-1/9*(3*a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(9/2)/b^4+1/11*C*d^2*(b*x^2+a)^(11/2)/b^4+3/256*a^4*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,11,1/256*a^2*(16*A*b^2*c^2+3*a*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2)))*x*sqrt(b*x^2+a)/b^3+1/128*a*(16*A*b^2*c^2+3*a*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2)))*x^3*sqrt(b*x^2+a)/b^2+1/96*(16*A*b^2*c^2+3*a*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2)))*x^3*(b*x^2+a)^(3/2)/b^2-1/5*a*(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*(b*x^2+a)^(5/2)/b^3-1/16*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2))*x^3*(b*x^2+a)^(5/2)/b^2+1/10*C*d^2*x^5*(b*x^2+a)^(5/2)/b+1/7*(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*(b*x^2+a)^(7/2)/b^3+1/9*d*(B*d+2*C*c)*(b*x^2+a)^(9/2)/b^3-1/256*a^3*(16*A*b^2*c^2+3*a*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x*(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,10,1/128*a^2*(8*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/b^2+1/64*a*(8*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*x^3*sqrt(b*x^2+a)/b+1/48*(8*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*x^3*(b*x^2+a)^(3/2)/b+1/5*(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*(b*x^2+a)^(5/2)/b^3+1/8*d*(B*d+2*C*c)*x^3*(b*x^2+a)^(5/2)/b-1/7*(2*a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(7/2)/b^3+1/9*C*d^2*(b*x^2+a)^(9/2)/b^3-1/128*a^3*(8*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A),x,10,1/128*a*(8*A*b*(-a*d^2+6*b*c^2)+a*(3*a*C*d^2-8*b*c*(2*B*d+C*c)))*x*sqrt(b*x^2+a)/b^2+1/192*(8*A*b*(-a*d^2+6*b*c^2)+a*(3*a*C*d^2-8*b*c*(2*B*d+C*c)))*x*(b*x^2+a)^(3/2)/b^2+1/5*(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*(b*x^2+a)^(5/2)/b^2-1/48*(3*a*C*d^2-8*b*(A*d^2+2*B*c*d+C*c^2))*x*(b*x^2+a)^(5/2)/b^2+1/8*C*d^2*x^3*(b*x^2+a)^(5/2)/b+1/7*d*(B*d+2*C*c)*(b*x^2+a)^(7/2)/b^2+1/128*a^2*(8*A*b*(-a*d^2+6*b*c^2)+a*(3*a*C*d^2-8*b*c*(2*B*d+C*c)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x,x,11,a*A*c^2*sqrt(b*x^2+a)+1/16*a*(6*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/b+1/3*A*c^2*(b*x^2+a)^(3/2)+1/24*(6*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x*(b*x^2+a)^(3/2)/b-1/5*(a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(5/2)/b^2+1/6*d*(B*d+2*C*c)*x*(b*x^2+a)^(5/2)/b+1/7*C*d^2*(b*x^2+a)^(7/2)/b^2+1/16*a^2*(6*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-a^(3/2)*A*c^2*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^2,x,13,a*c*(2*A*d+B*c)*sqrt(b*x^2+a)+1/16*(6*A*b*(a*d^2+4*b*c^2)-a*(a*C*d^2-6*b*c*(2*B*d+C*c)))*x*sqrt(b*x^2+a)/b+1/3*c*(2*A*d+B*c)*(b*x^2+a)^(3/2)+1/24*(6*A*b*(a*d^2+4*b*c^2)-a*(a*C*d^2-6*b*c*(2*B*d+C*c)))*x*(b*x^2+a)^(3/2)/a/b+1/5*d*(B*d+2*C*c)*(b*x^2+a)^(5/2)/b-A*c^2*(b*x^2+a)^(5/2)/a/x+1/6*C*d^2*x*(b*x^2+a)^(5/2)/b+1/16*a*(6*A*b*(a*d^2+4*b*c^2)-a*(a*C*d^2-6*b*c*(2*B*d+C*c)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-a^(3/2)*c*(2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^3,x,12,(a*c*(2*B*d+C*c)+A*(a*d^2+b*c^2))*sqrt(b*x^2+a)-1/2*a*A*c^2*sqrt(b*x^2+a)/x^2+3/8*(4*b*c*(2*A*d+B*c)+a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)+1/3*(A*d^2+2*B*c*d+C*c^2)*(b*x^2+a)^(3/2)+1/4*(4*b*c*(2*A*d+B*c)+a*d*(B*d+2*C*c))*x*(b*x^2+a)^(3/2)/a+1/5*C*d^2*(b*x^2+a)^(5/2)/b-c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x+3/8*a*(4*b*c*(2*A*d+B*c)+a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*sqrt(a)*(2*a*c*(2*B*d+C*c)+A*(2*a*d^2+3*b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^4,x,13,1/2*(3*b*c*(2*A*d+B*c)+2*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)+1/8*(4*A*b*(3*a*d^2+2*b*c^2)+3*a*(a*C*d^2+4*b*c*(2*B*d+C*c)))*x*sqrt(b*x^2+a)/a+1/6*(3*b*c*(2*A*d+B*c)+2*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a+1/12*(4*A*b*(3*a*d^2+2*b*c^2)+3*a*(a*C*d^2+4*b*c*(2*B*d+C*c)))*x*(b*x^2+a)^(3/2)/a^2-1/3*A*c^2*(b*x^2+a)^(5/2)/a/x^3-1/2*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^2-1/3*(3*a*c*(2*B*d+C*c)+A*(3*a*d^2+2*b*c^2))*(b*x^2+a)^(5/2)/a^2/x+1/8*(4*A*b*(3*a*d^2+2*b*c^2)+3*a*(a*C*d^2+4*b*c*(2*B*d+C*c)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*sqrt(a)*(3*b*c*(2*A*d+B*c)+2*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a)),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^5,x,13,(a*C*d^2+b*(A*d^2+2*B*c*d+C*c^2))*sqrt(b*x^2+a)-1/4*a*A*c^2*sqrt(b*x^2+a)/x^4-1/8*(4*a*c*(2*B*d+C*c)+A*(4*a*d^2+5*b*c^2))*sqrt(b*x^2+a)/x^2+1/2*b*(2*b*c*(2*A*d+B*c)+3*a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/a+1/3*C*d^2*(b*x^2+a)^(3/2)-1/3*(2*b*c*(2*A*d+B*c)+3*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a/x-1/3*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^3+1/2*sqrt(b)*(2*b*c*(2*A*d+B*c)+3*a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-1/8*(3*A*b*(4*a*d^2+b*c^2)+4*a*(2*a*C*d^2+3*b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^6,x,13,3/8*b*(b*c*(2*A*d+B*c)+4*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a+1/2*b*(3*a*C*d^2+2*b*(A*d^2+2*B*c*d+C*c^2))*x*sqrt(b*x^2+a)/a-1/8*(b*c*(2*A*d+B*c)+4*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a/x^2-1/3*(3*a*C*d^2+2*b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(3/2)/a/x-1/5*A*c^2*(b*x^2+a)^(5/2)/a/x^5-1/4*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^4-1/3*(A*d^2+2*B*c*d+C*c^2)*(b*x^2+a)^(5/2)/a/x^3+1/2*sqrt(b)*(3*a*C*d^2+2*b*(A*d^2+2*B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))-3/8*b*(b*c*(2*A*d+B*c)+4*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^7,x,13,b*C*d^2*sqrt(b*x^2+a)-1/6*a*A*c^2*sqrt(b*x^2+a)/x^6-1/24*(6*a*c*(2*B*d+C*c)+A*(6*a*d^2+7*b*c^2))*sqrt(b*x^2+a)/x^4-1/16*(A*b*(10*a*d^2+b*c^2)+2*a*(4*a*C*d^2+5*b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a/x^2-b*d*(B*d+2*C*c)*sqrt(b*x^2+a)/x-1/3*d*(B*d+2*C*c)*(b*x^2+a)^(3/2)/x^3-1/5*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^5+b^(3/2)*d*(B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/16*b*(A*b*(-6*a*d^2+b*c^2)-6*a*(4*a*C*d^2+b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^8,x,13,1/16*b*(b*c*(2*A*d+B*c)-6*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a/x^2-b*C*d^2*sqrt(b*x^2+a)/x+1/24*(b*c*(2*A*d+B*c)-6*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a/x^4-1/3*C*d^2*(b*x^2+a)^(3/2)/x^3-1/7*A*c^2*(b*x^2+a)^(5/2)/a/x^7-1/6*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^6-1/35*(7*a*c*(2*B*d+C*c)-A*(-7*a*d^2+2*b*c^2))*(b*x^2+a)^(5/2)/a^2/x^5+b^(3/2)*C*d^2*arctanh(sqrt(b)*x/sqrt(b*x^2+a))+1/16*b^2*(b*c*(2*A*d+B*c)-6*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^9,x,10,-1/8*a*A*c^2*sqrt(b*x^2+a)/x^8-1/48*(8*a*c*(2*B*d+C*c)+A*(8*a*d^2+9*b*c^2))*sqrt(b*x^2+a)/x^6-1/192*(A*b*(56*a*d^2+3*b*c^2)+8*a*(6*a*C*d^2+7*b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a/x^4+1/128*b*(A*b*(-8*a*d^2+3*b*c^2)-8*a*(10*a*C*d^2+b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^2/x^2-1/7*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^7+1/35*(2*b*c*(2*A*d+B*c)-7*a*d*(B*d+2*C*c))*(b*x^2+a)^(5/2)/a^2/x^5-1/128*b^2*(A*b*(-8*a*d^2+3*b*c^2)+8*a*(6*a*C*d^2-b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^10,x,11,1/64*b*(3*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a/x^4+1/128*b^2*(3*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^2/x^2+1/48*(3*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/a/x^6-1/9*A*c^2*(b*x^2+a)^(5/2)/a/x^9-1/8*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^8-1/63*(9*a*c*(2*B*d+C*c)-A*(-9*a*d^2+4*b*c^2))*(b*x^2+a)^(5/2)/a^2/x^7-1/315*(2*A*b*(-9*a*d^2+4*b*c^2)+9*a*(7*a*C*d^2-2*b*c*(2*B*d+C*c)))*(b*x^2+a)^(5/2)/a^3/x^5-1/128*b^3*(3*b*c*(2*A*d+B*c)-8*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^11,x,12,-1/10*a*A*c^2*sqrt(b*x^2+a)/x^10-1/80*(10*a*c*(2*B*d+C*c)+A*(10*a*d^2+11*b*c^2))*sqrt(b*x^2+a)/x^8-1/480*(3*A*b*(30*a*d^2+b*c^2)+10*a*(8*a*C*d^2+9*b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a/x^6+1/384*b*(3*A*b*(-2*a*d^2+b*c^2)-2*a*(56*a*C*d^2+3*b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^2/x^4-1/256*b^2*(3*A*b*(-2*a*d^2+b*c^2)+2*a*(8*a*C*d^2-3*b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^3/x^2-1/9*c*(2*A*d+B*c)*(b*x^2+a)^(5/2)/a/x^9+1/63*(4*b*c*(2*A*d+B*c)-9*a*d*(B*d+2*C*c))*(b*x^2+a)^(5/2)/a^2/x^7-2/315*b*(4*b*c*(2*A*d+B*c)-9*a*d*(B*d+2*C*c))*(b*x^2+a)^(5/2)/a^3/x^5+1/256*b^3*(3*A*b*(-2*a*d^2+b*c^2)+2*a*(8*a*C*d^2-3*b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c),x,12,c^2*(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^7-1/16*(2*A*b*c*(3*a*d^2+4*b*c^2)+(-B*d+C*c)*(-a^2*d^4+6*a*b*c^2*d^2+8*b^2*c^4)/d^2)*x*sqrt(b*x^2+a)/b/d^4+1/3*c^2*(A*d^2-B*c*d+C*c^2)*(b*x^2+a)^(3/2)/d^5+1/24*(a*d^2*(-B*d+C*c)-6*b*c*(A*d^2-B*c*d+C*c^2))*x*(b*x^2+a)^(3/2)/b/d^4+1/210*(42*A*b-12*a*C+b*c*(-77*B*d+107*C*c)/d^2)*(b*x^2+a)^(5/2)/b^2/d-1/42*(-7*B*d+19*C*c)*(d*x+c)*(b*x^2+a)^(5/2)/b/d^3+1/7*C*(d*x+c)^2*(b*x^2+a)^(5/2)/b/d^3+1/16*(a^3*d^6*(-B*d+C*c)-16*b^3*c^5*(A*d^2-B*c*d+C*c^2)-24*a*b^2*c^3*d^2*(A*d^2-B*c*d+C*c^2)-6*a^2*b*c*d^4*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^8-c^2*(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^8,1],
[x*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c),x,11,-c*(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^6-1/16*(a^2*C*d^3+8*b^2*c^2*(B*c-c^2*C/d-A*d)-6*a*b*d*(A*d^2-B*c*d+C*c^2))*x*sqrt(b*x^2+a)/b/d^4-1/3*c*(A*d^2-B*c*d+C*c^2)*(b*x^2+a)^(3/2)/d^4-1/24*(a*C*d^2-6*b*(A*d^2-B*c*d+C*c^2))*x*(b*x^2+a)^(3/2)/b/d^3-1/30*(-6*B*d+11*C*c)*(b*x^2+a)^(5/2)/b/d^2+1/6*C*(d*x+c)*(b*x^2+a)^(5/2)/b/d^2-1/16*(a^3*C*d^6-16*b^3*c^4*(A*d^2-B*c*d+C*c^2)-24*a*b^2*c^2*d^2*(A*d^2-B*c*d+C*c^2)-6*a^2*b*d^4*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^7+c*(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^7,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c),x,10,(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^5-1/8*(3*a*d^2*(-B*d+C*c)+4*b*c*(A*d^2-B*c*d+C*c^2))*x*sqrt(b*x^2+a)/d^4+1/3*(A*d^2-B*c*d+C*c^2)*(b*x^2+a)^(3/2)/d^3-1/4*(-B*d+C*c)*x*(b*x^2+a)^(3/2)/d^2+1/5*C*(b*x^2+a)^(5/2)/b/d-1/8*(3*a^2*d^4*(-B*d+C*c)+8*b^2*c^3*(A*d^2-B*c*d+C*c^2)+12*a*b*c*d^2*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^6-(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^6,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x/(d*x+c),x,13,-1/3*(4*a*d^2*(-B*d+C*c)+3*b*c*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/d^4+1/8*(5*a*C*d^2+4*b*(A*d^2-B*c*d+C*c^2))*x*sqrt(b*x^2+a)/d^3-1/3*b*(-B*d+C*c)*x^2*sqrt(b*x^2+a)/d^2+1/4*b*C*x^3*sqrt(b*x^2+a)/d+1/8*(3*a^2*C*d^4+8*b^2*c^2*(A*d^2-B*c*d+C*c^2)+12*a*b*d^2*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^5+(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c/d^5-a^(3/2)*A*arctanh(sqrt(b*x^2+a)/sqrt(a))/c,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^2/(d*x+c),x,13,1/3*(4*a*C*d^2+3*b*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/d^3-a*A*sqrt(b*x^2+a)/c/x-1/2*b*(-B*d+C*c)*x*sqrt(b*x^2+a)/d^2+1/3*b*C*x^2*sqrt(b*x^2+a)/d-1/2*sqrt(b)*(3*a*d^2*(-B*d+C*c)+2*b*c*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^4-(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/d^4-a^(3/2)*(-A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^2,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^3/(d*x+c),x,13,-b*(-B*d+C*c)*sqrt(b*x^2+a)/d^2-1/2*a*A*sqrt(b*x^2+a)/c/x^2-a*(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x+1/2*b*C*x*sqrt(b*x^2+a)/d+1/2*sqrt(b)*(3*a*C*d^2+2*b*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^3+(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/d^3-1/2*sqrt(a)*(3*A*b*c+2*a*c*C-2*a*B*d+2*a*A*d^2/c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^2,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^4/(d*x+c),x,13,b*C*sqrt(b*x^2+a)/d-1/3*a*A*sqrt(b*x^2+a)/c/x^3-1/2*a*(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x^2-1/3*(4*A*b*c+3*a*c*C-3*a*B*d+3*a*A*d^2/c)*sqrt(b*x^2+a)/c^2/x-b^(3/2)*(-B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^2-(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^4/d^2-1/2*sqrt(a)*(3*b*c^2*(-A*d+B*c)-2*a*d*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^4,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^5/(d*x+c),x,13,-1/4*a*A*sqrt(b*x^2+a)/c/x^4-1/3*a*(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x^3-1/8*(5*A*b*c+4*a*c*C-4*a*B*d+4*a*A*d^2/c)*sqrt(b*x^2+a)/c^2/x^2-1/3*(4*b*c^2*(-A*d+B*c)-3*a*d*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/c^4/x+b^(3/2)*C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d+(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^5/d-1/8*(4*a*c*(-B*d+C*c)*(2*a*d^2+3*b*c^2)+A*(8*a^2*d^4+12*a*b*c^2*d^2+3*b^2*c^4))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^5,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^6/(d*x+c),x,12,-1/5*a*A*sqrt(b*x^2+a)/c/x^5-1/4*a*(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x^4-1/15*(6*A*b*c+5*a*c*C-5*a*B*d+5*a*A*d^2/c)*sqrt(b*x^2+a)/c^2/x^3-1/8*(5*b*c^2*(-A*d+B*c)-4*a*d*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/c^4/x^2-1/15*(5*a*c*(-B*d+C*c)*(3*a*d^2+4*b*c^2)+A*(15*a^2*d^4+20*a*b*c^2*d^2+3*b^2*c^4))*sqrt(b*x^2+a)/a/c^5/x-(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^6-1/8*(3*b^2*c^4*(-A*d+B*c)-12*a*b*c^2*d*(A*d^2-B*c*d+C*c^2)-8*a^2*d^3*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^6,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^7/(d*x+c),x,13,-1/6*a*A*sqrt(b*x^2+a)/c/x^6-1/5*a*(-A*d+B*c)*sqrt(b*x^2+a)/c^2/x^5-1/24*(7*A*b*c+6*a*c*C-6*a*B*d+6*a*A*d^2/c)*sqrt(b*x^2+a)/c^2/x^4-1/15*(6*b*c^2*(-A*d+B*c)-5*a*d*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/c^4/x^3-1/16*(2*a*c*(-B*d+C*c)*(4*a*d^2+5*b*c^2)+A*(8*a^2*d^4+10*a*b*c^2*d^2+b^2*c^4))*sqrt(b*x^2+a)/a/c^5/x^2-1/15*(3*b^2*c^4*(-A*d+B*c)-20*a*b*c^2*d*(A*d^2-B*c*d+C*c^2)-15*a^2*d^3*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/a/c^6/x+d*(a*d^2+b*c^2)^(3/2)*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^7-1/16*(2*a*c*(-B*d+C*c)*(8*a^2*d^4+12*a*b*c^2*d^2+3*b^2*c^4)-A*(-16*a^3*d^6-24*a^2*b*c^2*d^4-6*a*b^2*c^4*d^2+b^3*c^6))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^7,1],
[x^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c)^2,x,12,-1/15*(3*a^2*d^4*(-B*d+2*C*c)+20*a*b*c*d^2*(2*A*d^2-3*B*c*d+4*C*c^2)+15*b^2*c^3*(4*A*d^2-5*B*c*d+6*C*c^2))*sqrt(b*x^2+a)/b/d^7+1/16*(a^2*C*d^4+10*a*b*d^2*(A*d^2-2*B*c*d+3*C*c^2)+8*b^2*c^2*(3*A*d^2-4*B*c*d+5*C*c^2))*x*sqrt(b*x^2+a)/b/d^6-1/15*(6*a*d^2*(-B*d+2*C*c)+5*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*x^2*sqrt(b*x^2+a)/d^5+1/24*(7*a*C*d^2+6*b*(A*d^2-2*B*c*d+3*C*c^2))*x^3*sqrt(b*x^2+a)/d^4-1/5*b*(-B*d+2*C*c)*x^4*sqrt(b*x^2+a)/d^3+1/6*b*C*x^5*sqrt(b*x^2+a)/d^2-c^2*(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^7/(d*x+c)-1/16*(a^3*C*d^6-6*a^2*b*d^4*(A*d^2-2*B*c*d+3*C*c^2)-24*a*b^2*c^2*d^2*(3*A*d^2-4*B*c*d+5*C*c^2)-16*b^3*c^4*(5*A*d^2-6*B*c*d+7*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^8+c*sqrt(a*d^2+b*c^2)*(a*d^2*(2*A*d^2-3*B*c*d+4*C*c^2)+b*c^2*(5*A*d^2-6*B*c*d+7*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^8,1],
[x*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c)^2,x,11,1/15*(3*a^2*C*d^4+20*a*b*d^2*(A*d^2-2*B*c*d+3*C*c^2)+15*b^2*c^2*(3*A*d^2-4*B*c*d+5*C*c^2))*sqrt(b*x^2+a)/b/d^6-1/8*(5*a*d^2*(-B*d+2*C*c)+4*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*x*sqrt(b*x^2+a)/d^5+1/15*(6*a*C*d^2+5*b*(A*d^2-2*B*c*d+3*C*c^2))*x^2*sqrt(b*x^2+a)/d^4-1/4*b*(-B*d+2*C*c)*x^3*sqrt(b*x^2+a)/d^3+1/5*b*C*x^4*sqrt(b*x^2+a)/d^2+c*(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^6/(d*x+c)-1/8*(3*a^2*d^4*(-B*d+2*C*c)+12*a*b*c*d^2*(2*A*d^2-3*B*c*d+4*C*c^2)+8*b^2*c^3*(4*A*d^2-5*B*c*d+6*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^7-sqrt(a*d^2+b*c^2)*(a*d^2*(A*d^2-2*B*c*d+3*C*c^2)+b*c^2*(4*A*d^2-5*B*c*d+6*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^7,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c)^2,x,10,-1/3*(4*a*d^2*(-B*d+2*C*c)+3*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*sqrt(b*x^2+a)/d^5+1/8*(5*a*C*d^2+4*b*(A*d^2-2*B*c*d+3*C*c^2))*x*sqrt(b*x^2+a)/d^4-1/3*b*(-B*d+2*C*c)*x^2*sqrt(b*x^2+a)/d^3+1/4*b*C*x^3*sqrt(b*x^2+a)/d^2-(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^5/(d*x+c)+1/8*(3*a^2*C*d^4+12*a*b*d^2*(A*d^2-2*B*c*d+3*C*c^2)+8*b^2*c^2*(3*A*d^2-4*B*c*d+5*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^6+sqrt(a*d^2+b*c^2)*(a*d^2*(-B*d+2*C*c)+b*c*(3*A*d^2-4*B*c*d+5*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^6,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x/(d*x+c)^2,x,13,1/3*(4*a*C*d^2+3*b*(A*d^2-2*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/d^4-1/2*b*(-B*d+2*C*c)*x*sqrt(b*x^2+a)/d^3+1/3*b*C*x^2*sqrt(b*x^2+a)/d^2+(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^4/(d*x+c)-1/2*sqrt(b)*(3*a*d^2*(-B*d+2*C*c)+2*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^5-sqrt(a*d^2+b*c^2)*(a*d^2*(-A*d^2+C*c^2)+b*c^2*(2*A*d^2-3*B*c*d+4*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/d^5-a^(3/2)*A*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^2,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^2/(d*x+c)^2,x,13,-b*(-B*d+2*C*c)*sqrt(b*x^2+a)/d^3-(b*c^2*(A*d^2-B*c*d+C*c^2)+a*d^2*(2*A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/c^2/d^4/x+1/2*b*C*x*sqrt(b*x^2+a)/d^2+(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^4/x/(d*x+c)+1/2*sqrt(b)*(3*a*C*d^2+2*b*(A*d^2-2*B*c*d+3*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^4+sqrt(a*d^2+b*c^2)*(a*d^3*(-2*A*d+B*c)+b*c^2*(A*d^2-2*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/d^4-a^(3/2)*(-2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^3,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^3/(d*x+c)^2,x,13,b*C*sqrt(b*x^2+a)/d^2-1/2*(2*b*c^2*(A*d^2-B*c*d+C*c^2)+a*d^2*(3*A*d^2-2*B*c*d+2*C*c^2))*sqrt(b*x^2+a)/c^2/d^4/x^2+(b*c^2*(A*d^2-B*c*d+C*c^2)+a*d^2*(3*A*d^2-2*B*c*d+C*c^2))*sqrt(b*x^2+a)/c^3/d^3/x+(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^4/x^2/(d*x+c)-b^(3/2)*(-B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^3-sqrt(a*d^2+b*c^2)*(b*c^3*(-B*d+2*C*c)-a*d^2*(3*A*d^2-2*B*c*d+C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^4/d^3-1/2*sqrt(a)*(2*a*c*(-2*B*d+C*c)+3*A*(2*a*d^2+b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^4,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^4/(d*x+c)^2,x,13,-1/3*(3*b*c^2*(A*d^2-B*c*d+C*c^2)+a*d^2*(4*A*d^2-3*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/c^2/d^4/x^3+1/2*(2*b*c^2*(A*d^2-B*c*d+C*c^2)+a*d^2*(4*A*d^2-3*B*c*d+2*C*c^2))*sqrt(b*x^2+a)/c^3/d^3/x^2-1/3*(3*a*d^2*(4*A*d^2-3*B*c*d+2*C*c^2)+b*c^2*(7*A*d^2-3*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/c^4/d^2/x+(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^4/x^3/(d*x+c)+b^(3/2)*C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/d^2-sqrt(a*d^2+b*c^2)*(a*d^2*(4*A*d^2-3*B*c*d+2*C*c^2)-b*(-A*c^2*d^2+C*c^4))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^5/d^2-1/2*sqrt(a)*(3*b*c^2*(-2*A*d+B*c)-2*a*d*(4*A*d^2-3*B*c*d+2*C*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/c^5,1],
[(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^5/(d*x+c)^2,x,12,-1/4*(4*b*c^2*(A*d^2-B*c*d+C*c^2)+a*d^2*(5*A*d^2-4*B*c*d+4*C*c^2))*sqrt(b*x^2+a)/c^2/d^4/x^4+1/3*(3*b*c^2*(A*d^2-B*c*d+C*c^2)+a*d^2*(5*A*d^2-4*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/c^3/d^3/x^3-1/8*(4*a*d^2*(5*A*d^2-4*B*c*d+3*C*c^2)+b*c^2*(13*A*d^2-8*B*c*d+8*C*c^2))*sqrt(b*x^2+a)/c^4/d^2/x^2+1/3*(3*a*d^2*(5*A*d^2-4*B*c*d+3*C*c^2)+b*c^2*(11*A*d^2-7*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/c^5/d/x+(a*d^2+b*c^2)*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/d^4/x^4/(d*x+c)-sqrt(a*d^2+b*c^2)*(b*c^2*(-2*A*d+B*c)-a*d*(5*A*d^2-4*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^6-1/8*(A*(40*a^2*d^4+36*a*b*c^2*d^2+3*b^2*c^4)+4*a*c*(2*a*d^2*(-4*B*d+3*C*c)+3*b*c^2*(-2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^6,1],
[x^3*(d*x+c)*(C*x^2+B*x+A)/sqrt(b*x^2+a),x,9,-a*(A*b*c-B*a*d-C*a*c)*sqrt(b*x^2+a)/b^3+1/16*a*(5*a*C*d-6*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b^3-1/24*(5*a*C*d-6*b*(A*d+B*c))*x^3*sqrt(b*x^2+a)/b^2+1/6*C*d*x^5*sqrt(b*x^2+a)/b+1/3*(A*b*c-2*a*(B*d+C*c))*(b*x^2+a)^(3/2)/b^3+1/5*(B*d+C*c)*(b*x^2+a)^(5/2)/b^3-1/16*a^2*(5*a*C*d-6*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(d*x+c)*(C*x^2+B*x+A)/sqrt(b*x^2+a),x,8,a*(a*C*d-b*(A*d+B*c))*sqrt(b*x^2+a)/b^3+1/8*(4*A*b*c-3*a*(B*d+C*c))*x*sqrt(b*x^2+a)/b^2+1/4*(B*d+C*c)*x^3*sqrt(b*x^2+a)/b+1/3*(A*b*d+B*b*c-2*C*a*d)*(b*x^2+a)^(3/2)/b^3+1/5*C*d*(b*x^2+a)^(5/2)/b^3-1/8*a*(4*A*b*c-3*a*(B*d+C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(d*x+c)*(C*x^2+B*x+A)/sqrt(b*x^2+a),x,8,(A*b*c-a*(B*d+C*c))*sqrt(b*x^2+a)/b^2-1/8*(3*a*C*d-4*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b^2+1/4*C*d*x^3*sqrt(b*x^2+a)/b+1/3*(B*d+C*c)*(b*x^2+a)^(3/2)/b^2+1/8*a*(3*a*C*d-4*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)*(C*x^2+B*x+A)/sqrt(b*x^2+a),x,7,(A*b*d+B*b*c-C*a*d)*sqrt(b*x^2+a)/b^2+1/2*(B*d+C*c)*x*sqrt(b*x^2+a)/b+1/3*C*d*(b*x^2+a)^(3/2)/b^2+1/2*(2*A*b*c-B*a*d-C*a*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x/sqrt(b*x^2+a),x,8,(B*d+C*c)*sqrt(b*x^2+a)/b+1/2*C*d*x*sqrt(b*x^2+a)/b-1/2*(a*C*d-2*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-A*c*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)*(C*x^2+B*x+A)/x^2/sqrt(b*x^2+a),x,8,C*d*sqrt(b*x^2+a)/b-A*c*sqrt(b*x^2+a)/a/x+(B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-(A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)*(C*x^2+B*x+A)/x^3/sqrt(b*x^2+a),x,8,-1/2*A*c*sqrt(b*x^2+a)/a/x^2-(A*d+B*c)*sqrt(b*x^2+a)/a/x+C*d*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)+1/2*(A*b*c-2*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^4/sqrt(b*x^2+a),x,7,-1/3*A*c*sqrt(b*x^2+a)/a/x^3-1/2*(A*d+B*c)*sqrt(b*x^2+a)/a/x^2+1/3*(2*A*b*c-3*a*(B*d+C*c))*sqrt(b*x^2+a)/a^2/x-1/2*(2*a*C*d-b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^5/sqrt(b*x^2+a),x,8,-1/4*A*c*sqrt(b*x^2+a)/a/x^4-1/3*(A*d+B*c)*sqrt(b*x^2+a)/a/x^3+1/8*(3*A*b*c-4*a*(B*d+C*c))*sqrt(b*x^2+a)/a^2/x^2-1/3*(3*a*C*d-2*b*(A*d+B*c))*sqrt(b*x^2+a)/a^2/x-1/8*b*(3*A*b*c-4*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^6/sqrt(b*x^2+a),x,9,-1/5*A*c*sqrt(b*x^2+a)/a/x^5-1/4*(A*d+B*c)*sqrt(b*x^2+a)/a/x^4+1/15*(4*A*b*c-5*a*(B*d+C*c))*sqrt(b*x^2+a)/a^2/x^3-1/8*(4*a*C*d-3*b*(A*d+B*c))*sqrt(b*x^2+a)/a^2/x^2-2/15*b*(4*A*b*c-5*a*(B*d+C*c))*sqrt(b*x^2+a)/a^3/x+1/8*b*(4*a*C*d-3*b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^7/sqrt(b*x^2+a),x,10,-1/6*A*c*sqrt(b*x^2+a)/a/x^6-1/5*(A*d+B*c)*sqrt(b*x^2+a)/a/x^5+1/24*(5*A*b*c-6*a*(B*d+C*c))*sqrt(b*x^2+a)/a^2/x^4-1/15*(5*a*C*d-4*b*(A*d+B*c))*sqrt(b*x^2+a)/a^2/x^3-1/16*b*(5*A*b*c-6*a*(B*d+C*c))*sqrt(b*x^2+a)/a^3/x^2+2/15*b*(5*a*C*d-4*b*(A*d+B*c))*sqrt(b*x^2+a)/a^3/x+1/16*b^2*(5*A*b*c-6*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^2*(d*x+c)^2*(C*x^2+B*x+A)/sqrt(b*x^2+a),x,9,-a*(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/b^3+1/16*(8*A*b^2*c^2+a*(5*a*C*d^2-6*b*(A*d^2+2*B*c*d+C*c^2)))*x*sqrt(b*x^2+a)/b^3-1/24*(5*a*C*d^2-6*b*(A*d^2+2*B*c*d+C*c^2))*x^3*sqrt(b*x^2+a)/b^2+1/6*C*d^2*x^5*sqrt(b*x^2+a)/b+1/3*(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*(b*x^2+a)^(3/2)/b^3+1/5*d*(B*d+2*C*c)*(b*x^2+a)^(5/2)/b^3-1/16*a*(8*A*b^2*c^2+a*(5*a*C*d^2-6*b*(A*d^2+2*B*c*d+C*c^2)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x*(d*x+c)^2*(C*x^2+B*x+A)/sqrt(b*x^2+a),x,8,(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/b^3+1/8*(4*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*x*sqrt(b*x^2+a)/b^2+1/4*d*(B*d+2*C*c)*x^3*sqrt(b*x^2+a)/b-1/3*(2*a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*(b*x^2+a)^(3/2)/b^3+1/5*C*d^2*(b*x^2+a)^(5/2)/b^3-1/8*a*(4*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/sqrt(b*x^2+a),x,8,(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/b^2-1/8*(3*a*C*d^2-4*b*(A*d^2+2*B*c*d+C*c^2))*x*sqrt(b*x^2+a)/b^2+1/4*C*d^2*x^3*sqrt(b*x^2+a)/b+1/3*d*(B*d+2*C*c)*(b*x^2+a)^(3/2)/b^2+1/8*(4*A*b*(-a*d^2+2*b*c^2)+a*(3*a*C*d^2-4*b*c*(2*B*d+C*c)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x/sqrt(b*x^2+a),x,9,-(a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*sqrt(b*x^2+a)/b^2+1/2*d*(B*d+2*C*c)*x*sqrt(b*x^2+a)/b+1/3*C*d^2*(b*x^2+a)^(3/2)/b^2+1/2*(2*b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-A*c^2*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^2/sqrt(b*x^2+a),x,9,d*(B*d+2*C*c)*sqrt(b*x^2+a)/b-A*c^2*sqrt(b*x^2+a)/a/x+1/2*C*d^2*x*sqrt(b*x^2+a)/b-1/2*(a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-c*(2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^3/sqrt(b*x^2+a),x,9,C*d^2*sqrt(b*x^2+a)/b-1/2*A*c^2*sqrt(b*x^2+a)/a/x^2-c*(2*A*d+B*c)*sqrt(b*x^2+a)/a/x+d*(B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)-1/2*(2*a*c*(2*B*d+C*c)-A*(-2*a*d^2+b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^4/sqrt(b*x^2+a),x,9,-1/3*A*c^2*sqrt(b*x^2+a)/a/x^3-1/2*c*(2*A*d+B*c)*sqrt(b*x^2+a)/a/x^2-1/3*(3*a*c*(2*B*d+C*c)-A*(-3*a*d^2+2*b*c^2))*sqrt(b*x^2+a)/a^2/x+C*d^2*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)+1/2*(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^5/sqrt(b*x^2+a),x,8,-1/4*A*c^2*sqrt(b*x^2+a)/a/x^4-1/3*c*(2*A*d+B*c)*sqrt(b*x^2+a)/a/x^3-1/8*(4*a*c*(2*B*d+C*c)-A*(-4*a*d^2+3*b*c^2))*sqrt(b*x^2+a)/a^2/x^2+1/3*(2*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^2/x-1/8*(A*b*(-4*a*d^2+3*b*c^2)+4*a*(2*a*C*d^2-b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^6/sqrt(b*x^2+a),x,9,-1/5*A*c^2*sqrt(b*x^2+a)/a/x^5-1/4*c*(2*A*d+B*c)*sqrt(b*x^2+a)/a/x^4-1/15*(5*a*c*(2*B*d+C*c)-A*(-5*a*d^2+4*b*c^2))*sqrt(b*x^2+a)/a^2/x^3+1/8*(3*b*c*(2*A*d+B*c)-4*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^2/x^2-1/15*(2*A*b*(-5*a*d^2+4*b*c^2)+5*a*(3*a*C*d^2-2*b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^3/x-1/8*b*(3*b*c*(2*A*d+B*c)-4*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^7/sqrt(b*x^2+a),x,10,-1/6*A*c^2*sqrt(b*x^2+a)/a/x^6-1/5*c*(2*A*d+B*c)*sqrt(b*x^2+a)/a/x^5-1/24*(6*a*c*(2*B*d+C*c)-A*(-6*a*d^2+5*b*c^2))*sqrt(b*x^2+a)/a^2/x^4+1/15*(4*b*c*(2*A*d+B*c)-5*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^2/x^3-1/16*(A*b*(-6*a*d^2+5*b*c^2)+2*a*(4*a*C*d^2-3*b*c*(2*B*d+C*c)))*sqrt(b*x^2+a)/a^3/x^2-2/15*b*(4*b*c*(2*A*d+B*c)-5*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^3/x+1/16*b*(A*b*(-6*a*d^2+5*b*c^2)+2*a*(4*a*C*d^2-3*b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^3*(C*x^2+B*x+A)/(d*x+c)/sqrt(b*x^2+a),x,9,1/3*(2*a*d^2*(-B*d+C*c)-3*b*c*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/b^2/d^4-1/8*(3*a*C*d^2-4*b*(A*d^2-B*c*d+C*c^2))*x*sqrt(b*x^2+a)/b^2/d^3-1/3*(-B*d+C*c)*x^2*sqrt(b*x^2+a)/b/d^2+1/4*C*x^3*sqrt(b*x^2+a)/b/d+1/8*(3*a^2*C*d^4+8*b^2*c^2*(A*d^2-B*c*d+C*c^2)-4*a*b*d^2*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2)/d^5+c^3*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^5/sqrt(a*d^2+b*c^2),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)/sqrt(b*x^2+a),x,8,-1/3*(2*a*C*d^2-3*b*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/b^2/d^3-1/2*(-B*d+C*c)*x*sqrt(b*x^2+a)/b/d^2+1/3*C*x^2*sqrt(b*x^2+a)/b/d+1/2*(a*d^2*(-B*d+C*c)-2*b*c*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^4-c^2*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^4/sqrt(a*d^2+b*c^2),1],
[x*(C*x^2+B*x+A)/(d*x+c)/sqrt(b*x^2+a),x,7,-(-B*d+C*c)*sqrt(b*x^2+a)/b/d^2+1/2*C*x*sqrt(b*x^2+a)/b/d-1/2*(a*C*d^2-2*b*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^3+c*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^3/sqrt(a*d^2+b*c^2),1],
[(C*x^2+B*x+A)/(d*x+c)/sqrt(b*x^2+a),x,6,C*sqrt(b*x^2+a)/b/d-(-B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^2-(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^2/sqrt(a*d^2+b*c^2),1],
[(C*x^2+B*x+A)/x/(d*x+c)/sqrt(b*x^2+a),x,9,C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d+(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c/d/sqrt(a*d^2+b*c^2)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c,1],
[(C*x^2+B*x+A)/x^2/(d*x+c)/sqrt(b*x^2+a),x,8,-A*sqrt(b*x^2+a)/a/c/x-(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/sqrt(a*d^2+b*c^2)-(-A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^2,1],
[(C*x^2+B*x+A)/x^3/(d*x+c)/sqrt(b*x^2+a),x,9,-1/2*A*sqrt(b*x^2+a)/a/c/x^2-(-A*d+B*c)*sqrt(b*x^2+a)/a/c^2/x+d*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/sqrt(a*d^2+b*c^2)-1/2*(2*a*c*(-B*d+C*c)-A*(-2*a*d^2+b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^3,1],
[(C*x^2+B*x+A)/x^4/(d*x+c)/sqrt(b*x^2+a),x,10,-1/3*A*sqrt(b*x^2+a)/a/c/x^3-1/2*(-A*d+B*c)*sqrt(b*x^2+a)/a/c^2/x^2-1/3*(3*a*c*(-B*d+C*c)-A*(-3*a*d^2+2*b*c^2))*sqrt(b*x^2+a)/a^2/c^3/x-d^2*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^4/sqrt(a*d^2+b*c^2)+1/2*(b*c^2*(-A*d+B*c)+2*a*d*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^4,1],
[(C*x^2+B*x+A)/x^5/(d*x+c)/sqrt(b*x^2+a),x,11,-1/4*A*sqrt(b*x^2+a)/a/c/x^4-1/3*(-A*d+B*c)*sqrt(b*x^2+a)/a/c^2/x^3-1/8*(4*a*c*(-B*d+C*c)-A*(-4*a*d^2+3*b*c^2))*sqrt(b*x^2+a)/a^2/c^3/x^2+1/3*(2*b*c^2*(-A*d+B*c)+3*a*d*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/a^2/c^4/x+d^3*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^5/sqrt(a*d^2+b*c^2)+1/8*(4*a*c*(-B*d+C*c)*(-2*a*d^2+b*c^2)-A*(8*a^2*d^4-4*a*b*c^2*d^2+3*b^2*c^4))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2)/c^5,1],
[x^3*(C*x^2+B*x+A)/(d*x+c)^2/sqrt(b*x^2+a),x,9,-1/3*(2*a*C*d^2-3*b*(A*d^2-2*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/b^2/d^4-1/2*(-B*d+2*C*c)*x*sqrt(b*x^2+a)/b/d^3+1/3*C*x^2*sqrt(b*x^2+a)/b/d^2+c^3*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^4/(a*d^2+b*c^2)/(d*x+c)+1/2*(a*d^2*(-B*d+2*C*c)-2*b*c*(2*A*d^2-3*B*c*d+4*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^5-c^2*(b*c^2*(2*A*d^2-3*B*c*d+4*C*c^2)+a*d^2*(3*A*d^2-4*B*c*d+5*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^5/(a*d^2+b*c^2)^(3/2),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)^2/sqrt(b*x^2+a),x,8,-(-B*d+2*C*c)*sqrt(b*x^2+a)/b/d^3+1/2*C*x*sqrt(b*x^2+a)/b/d^2-c^2*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^3/(a*d^2+b*c^2)/(d*x+c)-1/2*(a*C*d^2-2*b*(A*d^2-2*B*c*d+3*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^4+c*(b*c^2*(A*d^2-2*B*c*d+3*C*c^2)+a*d^2*(2*A*d^2-3*B*c*d+4*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^4/(a*d^2+b*c^2)^(3/2),1],
[x*(C*x^2+B*x+A)/(d*x+c)^2/sqrt(b*x^2+a),x,7,C*sqrt(b*x^2+a)/b/d^2+c*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^2/(a*d^2+b*c^2)/(d*x+c)-(-B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^3-(b*c^3*(-B*d+2*C*c)+a*d^2*(A*d^2-2*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^3/(a*d^2+b*c^2)^(3/2),1],
[(C*x^2+B*x+A)/(d*x+c)^2/sqrt(b*x^2+a),x,6,-(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d/(a*d^2+b*c^2)/(d*x+c)+C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/sqrt(b)/d^2+(a*d^2*(-B*d+2*C*c)+b*(-A*c*d^2+C*c^3))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^2/(a*d^2+b*c^2)^(3/2),1],
[(C*x^2+B*x+A)/x/(d*x+c)^2/sqrt(b*x^2+a),x,8,(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c/(a*d^2+b*c^2)/(d*x+c)-(b*c^2*(-2*A*d+B*c)+a*d*(-A*d^2+C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/(a*d^2+b*c^2)^(3/2)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^2,1],
[(C*x^2+B*x+A)/x^2/(d*x+c)^2/sqrt(b*x^2+a),x,9,-A*sqrt(b*x^2+a)/a/c^2/x-d*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c^2/(a*d^2+b*c^2)/(d*x+c)+(a*d^3*(-2*A*d+B*c)-b*c^2*(3*A*d^2-2*B*c*d+C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/(a*d^2+b*c^2)^(3/2)-(-2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/sqrt(a)/c^3,1],
[(C*x^2+B*x+A)/x^3/(d*x+c)^2/sqrt(b*x^2+a),x,10,-1/2*A*sqrt(b*x^2+a)/a/c^2/x^2-(-2*A*d+B*c)*sqrt(b*x^2+a)/a/c^3/x+d^2*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c^3/(a*d^2+b*c^2)/(d*x+c)+d*(a*d^2*(3*A*d^2-2*B*c*d+C*c^2)+b*c^2*(4*A*d^2-3*B*c*d+2*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^4/(a*d^2+b*c^2)^(3/2)+1/2*(-6*A*a*d^2+A*b*c^2+4*B*a*c*d-2*C*a*c^2)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^4,1],
[(C*x^2+B*x+A)/x^4/(d*x+c)^2/sqrt(b*x^2+a),x,11,-1/3*A*sqrt(b*x^2+a)/a/c^2/x^3-1/2*(-2*A*d+B*c)*sqrt(b*x^2+a)/a/c^3/x^2+1/3*(-9*A*a*d^2+2*A*b*c^2+6*B*a*c*d-3*C*a*c^2)*sqrt(b*x^2+a)/a^2/c^4/x-d^3*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/c^4/(a*d^2+b*c^2)/(d*x+c)-d^2*(a*d^2*(4*A*d^2-3*B*c*d+2*C*c^2)+b*c^2*(5*A*d^2-4*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^5/(a*d^2+b*c^2)^(3/2)+1/2*(b*c^2*(-2*A*d+B*c)+2*a*d*(4*A*d^2-3*B*c*d+2*C*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^5,1],
[x^3*(d*x+c)*(C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,9,a*(A*b*c-B*a*d-C*a*c)/b^3/sqrt(b*x^2+a)+a*(A*b*d+B*b*c-C*a*d)*x/b^3/sqrt(b*x^2+a)+(A*b*c-2*a*(B*d+C*c))*sqrt(b*x^2+a)/b^3-1/8*(7*a*C*d-4*b*(A*d+B*c))*x*sqrt(b*x^2+a)/b^3+1/4*C*d*x^3*sqrt(b*x^2+a)/b^2+1/3*(B*d+C*c)*(b*x^2+a)^(3/2)/b^3+3/8*a*(5*a*C*d-4*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x^2*(d*x+c)*(C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,8,-a*(a*C*d-b*(A*d+B*c))/b^3/sqrt(b*x^2+a)-(A*b*c-B*a*d-C*a*c)*x/b^2/sqrt(b*x^2+a)+(A*b*d+B*b*c-2*C*a*d)*sqrt(b*x^2+a)/b^3+1/2*(B*d+C*c)*x*sqrt(b*x^2+a)/b^2+1/3*C*d*(b*x^2+a)^(3/2)/b^3+1/2*(2*A*b*c-3*a*(B*d+C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[x*(d*x+c)*(C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,8,-(A*b*c-a*(B*d+C*c))/b^2/sqrt(b*x^2+a)-(A*b*d+B*b*c-C*a*d)*x/b^2/sqrt(b*x^2+a)+(B*d+C*c)*sqrt(b*x^2+a)/b^2+1/2*C*d*x*sqrt(b*x^2+a)/b^2-1/2*(3*a*C*d-2*b*(A*d+B*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)*(C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,7,-(A*b*d+B*b*c-C*a*d)/b^2/sqrt(b*x^2+a)+(A*b*c-a*(B*d+C*c))*x/a/b/sqrt(b*x^2+a)+C*d*sqrt(b*x^2+a)/b^2+(B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x/(b*x^2+a)^(3/2),x,8,(A*b*c-a*(B*d+C*c))/a/b/sqrt(b*x^2+a)+(A*b*d+B*b*c-C*a*d)*x/a/b/sqrt(b*x^2+a)+C*d*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-A*c*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^2/(b*x^2+a)^(3/2),x,8,-(a*C*d-b*(A*d+B*c))/a/b/sqrt(b*x^2+a)-(A*b*c-B*a*d-C*a*c)*x/a^2/sqrt(b*x^2+a)-A*c*sqrt(b*x^2+a)/a^2/x-(A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^3/(b*x^2+a)^(3/2),x,9,-1/2*(3*A*b*c-2*a*(B*d+C*c))/a^2/sqrt(b*x^2+a)-1/2*A*c/a/x^2/sqrt(b*x^2+a)+(a*C*d-b*(A*d+B*c))*x/a^2/sqrt(b*x^2+a)-(A*d+B*c)*sqrt(b*x^2+a)/a^2/x+1/2*(3*A*b*c-2*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^4/(b*x^2+a)^(3/2),x,9,1/2*(2*a*C*d-3*b*(A*d+B*c))/a^2/sqrt(b*x^2+a)-1/2*(A*d+B*c)/a/x^2/sqrt(b*x^2+a)+b*(A*b*c-a*(B*d+C*c))*x/a^3/sqrt(b*x^2+a)-1/3*A*c*sqrt(b*x^2+a)/a^2/x^3+1/3*(5*A*b*c-3*a*(B*d+C*c))*sqrt(b*x^2+a)/a^3/x-1/2*(2*a*C*d-3*b*(A*d+B*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)*(C*x^2+B*x+A)/x^5/(b*x^2+a)^(3/2),x,10,3/8*b*(5*A*b*c-4*a*(B*d+C*c))/a^3/sqrt(b*x^2+a)-1/4*A*c/a/x^4/sqrt(b*x^2+a)+1/8*(5*A*b*c-4*a*(B*d+C*c))/a^2/x^2/sqrt(b*x^2+a)+b*(A*b*d+B*b*c-C*a*d)*x/a^3/sqrt(b*x^2+a)-1/3*(A*d+B*c)*sqrt(b*x^2+a)/a^2/x^3-1/3*(3*a*C*d-5*b*(A*d+B*c))*sqrt(b*x^2+a)/a^3/x-3/8*b*(5*A*b*c-4*a*(B*d+C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^2*(d*x+c)^2*(C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,9,a*(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))/b^3/sqrt(b*x^2+a)-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*x/b^3/sqrt(b*x^2+a)+(b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/b^3-1/8*(7*a*C*d^2-4*b*(A*d^2+2*B*c*d+C*c^2))*x*sqrt(b*x^2+a)/b^3+1/4*C*d^2*x^3*sqrt(b*x^2+a)/b^2+1/3*d*(B*d+2*C*c)*(b*x^2+a)^(3/2)/b^3+1/8*(4*A*b*(-3*a*d^2+2*b*c^2)+3*a*(5*a*C*d^2-4*b*c*(2*B*d+C*c)))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(7/2),1],
[x*(d*x+c)^2*(C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,8,-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))/b^3/sqrt(b*x^2+a)-(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x/b^2/sqrt(b*x^2+a)-(2*a*C*d^2-b*(A*d^2+2*B*c*d+C*c^2))*sqrt(b*x^2+a)/b^3+1/2*d*(B*d+2*C*c)*x*sqrt(b*x^2+a)/b^2+1/3*C*d^2*(b*x^2+a)^(3/2)/b^3+1/2*(2*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/(b*x^2+a)^(3/2),x,8,-(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))/b^2/sqrt(b*x^2+a)+(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*x/a/b^2/sqrt(b*x^2+a)+d*(B*d+2*C*c)*sqrt(b*x^2+a)/b^2+1/2*C*d^2*x*sqrt(b*x^2+a)/b^2-1/2*(3*a*C*d^2-2*b*(A*d^2+2*B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x/(b*x^2+a)^(3/2),x,9,(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))/a/b^2/sqrt(b*x^2+a)+(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x/a/b/sqrt(b*x^2+a)+C*d^2*sqrt(b*x^2+a)/b^2+d*(B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-A*c^2*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^2/(b*x^2+a)^(3/2),x,9,(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))/a/b/sqrt(b*x^2+a)-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*x/a^2/b/sqrt(b*x^2+a)-A*c^2*sqrt(b*x^2+a)/a^2/x+C*d^2*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)-c*(2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^3/(b*x^2+a)^(3/2),x,9,-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))/a^2/b/sqrt(b*x^2+a)-(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x/a^2/sqrt(b*x^2+a)-1/2*A*c^2*sqrt(b*x^2+a)/a^2/x^2-c*(2*A*d+B*c)*sqrt(b*x^2+a)/a^2/x-1/2*(2*a*c*(2*B*d+C*c)-A*(-2*a*d^2+3*b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^4/(b*x^2+a)^(3/2),x,9,-1/2*(3*b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))/a^2/sqrt(b*x^2+a)-1/2*c*(2*A*d+B*c)/a/x^2/sqrt(b*x^2+a)+(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))*x/a^3/sqrt(b*x^2+a)-1/3*A*c^2*sqrt(b*x^2+a)/a^2/x^3-1/3*(3*a*c*(2*B*d+C*c)-A*(-3*a*d^2+5*b*c^2))*sqrt(b*x^2+a)/a^3/x+1/2*(3*b*c*(2*A*d+B*c)-2*a*d*(B*d+2*C*c))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2),1],
[(d*x+c)^2*(C*x^2+B*x+A)/x^5/(b*x^2+a)^(3/2),x,10,(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(2*B*d+C*c)))/a^3/sqrt(b*x^2+a)+b*(b*c*(2*A*d+B*c)-a*d*(B*d+2*C*c))*x/a^3/sqrt(b*x^2+a)-1/4*A*c^2*sqrt(b*x^2+a)/a^2/x^4-1/3*c*(2*A*d+B*c)*sqrt(b*x^2+a)/a^2/x^3-1/8*(4*a*c*(2*B*d+C*c)-A*(-4*a*d^2+7*b*c^2))*sqrt(b*x^2+a)/a^3/x^2+1/3*(5*b*c*(2*A*d+B*c)-3*a*d*(B*d+2*C*c))*sqrt(b*x^2+a)/a^3/x-1/8*(3*A*b*(-4*a*d^2+5*b*c^2)+4*a*(2*a*C*d^2-3*b*c*(2*B*d+C*c)))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(7/2),1],
[x^4*(C*x^2+B*x+A)/(d*x+c)/(b*x^2+a)^(3/2),x,9,-a*(a*(-A*b*d+B*b*c+C*a*d)-b*(A*b*c+B*a*d-C*a*c)*x)/b^3/(a*d^2+b*c^2)/sqrt(b*x^2+a)-1/3*(5*a*C*d^2-3*b*(A*d^2-B*c*d+C*c^2))*sqrt(b*x^2+a)/b^3/d^3-1/2*(-B*d+C*c)*x*sqrt(b*x^2+a)/b^2/d^2+1/3*C*x^2*sqrt(b*x^2+a)/b^2/d+1/2*(3*a*d^2*(-B*d+C*c)-2*b*c*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2)/d^4-c^4*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^4/(a*d^2+b*c^2)^(3/2),1],
[x^3*(C*x^2+B*x+A)/(d*x+c)/(b*x^2+a)^(3/2),x,8,a*(A*b*c-a*c*C+a*B*d+(-A*b*d+B*b*c+C*a*d)*x)/b^2/(a*d^2+b*c^2)/sqrt(b*x^2+a)-(-B*d+C*c)*sqrt(b*x^2+a)/b^2/d^2+1/2*C*x*sqrt(b*x^2+a)/b^2/d-1/2*(3*a*C*d^2-2*b*(A*d^2-B*c*d+C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2)/d^3+c^3*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^3/(a*d^2+b*c^2)^(3/2),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)/(b*x^2+a)^(3/2),x,7,(a*(-A*b*d+B*b*c+C*a*d)-b*(A*b*c+B*a*d-C*a*c)*x)/b^2/(a*d^2+b*c^2)/sqrt(b*x^2+a)+C*sqrt(b*x^2+a)/b^2/d-(-B*d+C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^2-c^2*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^2/(a*d^2+b*c^2)^(3/2),1],
[x*(C*x^2+B*x+A)/(d*x+c)/(b*x^2+a)^(3/2),x,6,-(A*b*c-a*c*C+a*B*d+(-A*b*d+B*b*c+C*a*d)*x)/b/(a*d^2+b*c^2)/sqrt(b*x^2+a)+C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d+c*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d/(a*d^2+b*c^2)^(3/2),1],
[(C*x^2+B*x+A)/(d*x+c)/(b*x^2+a)^(3/2),x,4,-(a*(-A*b*d+B*b*c+C*a*d)-b*(A*b*c+B*a*d-C*a*c)*x)/a/b/(a*d^2+b*c^2)/sqrt(b*x^2+a)-(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/(a*d^2+b*c^2)^(3/2),1],
[(C*x^2+B*x+A)/x/(d*x+c)/(b*x^2+a)^(3/2),x,8,(A*b*c-a*c*C+a*B*d+(-A*b*d+B*b*c+C*a*d)*x)/a/(a*d^2+b*c^2)/sqrt(b*x^2+a)+d*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c/(a*d^2+b*c^2)^(3/2)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c,1],
[(C*x^2+B*x+A)/x^2/(d*x+c)/(b*x^2+a)^(3/2),x,9,-A/a/c/x/sqrt(b*x^2+a)+(a*c*(-A*b*d+B*b*c+C*a*d)+b*(a*c*(-B*d+C*c)-A*(a*d^2+2*b*c^2))*x)/a^2/c/(a*d^2+b*c^2)/sqrt(b*x^2+a)-d^2*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/(a*d^2+b*c^2)^(3/2)-(-A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^2,1],
[(C*x^2+B*x+A)/x^3/(d*x+c)/(b*x^2+a)^(3/2),x,10,-1/2*A/a/c/x^2/sqrt(b*x^2+a)-(-A*d+B*c)/a/c^2/x/sqrt(b*x^2+a)+1/2*b*(c*(2*a*c*(-B*d+C*c)-A*(a*d^2+3*b*c^2))-2*(2*b*c^2*(-A*d+B*c)+a*d*(-A*d^2+B*c*d+C*c^2))*x)/a^2/c^2/(a*d^2+b*c^2)/sqrt(b*x^2+a)+d^3*(A*d^2-B*c*d+C*c^2)*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/(a*d^2+b*c^2)^(3/2)-1/2*(2*a*c*(-B*d+C*c)-A*(-2*a*d^2+3*b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2)/c^3,1],
[x^4*(C*x^2+B*x+A)/(d*x+c)^2/(b*x^2+a)^(3/2),x,9,-a*(a*(b*c*(-2*A*d+B*c)+a*d*(-B*d+2*C*c))-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(-2*B*d+C*c)))*x)/b^2/(a*d^2+b*c^2)^2/sqrt(b*x^2+a)-(-B*d+2*C*c)*sqrt(b*x^2+a)/b^2/d^3+1/2*C*x*sqrt(b*x^2+a)/b^2/d^2-c^4*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^3/(a*d^2+b*c^2)^2/(d*x+c)-1/2*(3*a*C*d^2-2*b*(A*d^2-2*B*c*d+3*C*c^2))*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(5/2)/d^4+c^3*(b*c^2*(A*d^2-2*B*c*d+3*C*c^2)+a*d^2*(4*A*d^2-5*B*c*d+6*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^4/(a*d^2+b*c^2)^(5/2),1],
[x^3*(C*x^2+B*x+A)/(d*x+c)^2/(b*x^2+a)^(3/2),x,8,a*(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(-2*B*d+C*c))+b*(b*c*(-2*A*d+B*c)+a*d*(-B*d+2*C*c))*x)/b^2/(a*d^2+b*c^2)^2/sqrt(b*x^2+a)+C*sqrt(b*x^2+a)/b^2/d^2+c^3*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d^2/(a*d^2+b*c^2)^2/(d*x+c)-(-B*d+2*C*c)*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^3-c^2*(b*c^3*(-B*d+2*C*c)+a*d^2*(3*A*d^2-4*B*c*d+5*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^3/(a*d^2+b*c^2)^(5/2),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)^2/(b*x^2+a)^(3/2),x,7,(a*(b*c*(-2*A*d+B*c)+a*d*(-B*d+2*C*c))-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(-2*B*d+C*c)))*x)/b/(a*d^2+b*c^2)^2/sqrt(b*x^2+a)-c^2*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/d/(a*d^2+b*c^2)^2/(d*x+c)+C*arctanh(sqrt(b)*x/sqrt(b*x^2+a))/b^(3/2)/d^2+c*(a*d^2*(2*A*d^2-3*B*c*d+4*C*c^2)+b*(-A*c^2*d^2+C*c^4))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/d^2/(a*d^2+b*c^2)^(5/2),1],
[x*(C*x^2+B*x+A)/(d*x+c)^2/(b*x^2+a)^(3/2),x,4,-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(-2*B*d+C*c))+b*(b*c*(-2*A*d+B*c)+a*d*(-B*d+2*C*c))*x)/b/(a*d^2+b*c^2)^2/sqrt(b*x^2+a)+c*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/(a*d^2+b*c^2)^2/(d*x+c)-(b*c^2*(-2*A*d+B*c)+a*d*(A*d^2-2*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/(a*d^2+b*c^2)^(5/2),1],
[(C*x^2+B*x+A)/(d*x+c)^2/(b*x^2+a)^(3/2),x,4,-(a*(b*c*(-2*A*d+B*c)+a*d*(-B*d+2*C*c))-(A*b*(-a*d^2+b*c^2)+a*(a*C*d^2-b*c*(-2*B*d+C*c)))*x)/a/(a*d^2+b*c^2)^2/sqrt(b*x^2+a)-d*(A*d^2-B*c*d+C*c^2)*sqrt(b*x^2+a)/(a*d^2+b*c^2)^2/(d*x+c)+(a*d^2*(-B*d+2*C*c)-b*c*(3*A*d^2-2*B*c*d+C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/(a*d^2+b*c^2)^(5/2),1],
[(C*x^2+B*x+A)/x/(d*x+c)^2/(b*x^2+a)^(3/2),x,9,(A*b*c-a*c*C+a*B*d+(-A*b*d+B*b*c+C*a*d)*x)/a/(a*d^2+b*c^2)/(d*x+c)/sqrt(b*x^2+a)+d*(b*c^2*(-2*A*d+B*c)+a*d*(A*d^2-2*B*c*d+3*C*c^2))*sqrt(b*x^2+a)/a/c/(a*d^2+b*c^2)^2/(d*x+c)-d*(a*d^2*(-A*d^2+C*c^2)-b*c^2*(4*A*d^2-3*B*c*d+2*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^2/(a*d^2+b*c^2)^(5/2)-A*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^2,1],
[(C*x^2+B*x+A)/x^2/(d*x+c)^2/(b*x^2+a)^(3/2),x,10,-A/a/c^2/x/sqrt(b*x^2+a)+(a*(A*a*d^3+B*b*c^3+C*a*c^2*d)+b*c*(a*c*(-B*d+C*c)-A*(a*d^2+2*b*c^2))*x)/a^2/c^2/(a*d^2+b*c^2)/(d*x+c)/sqrt(b*x^2+a)-d*(A*(2*a^2*d^4+a*b*c^2*d^2+2*b^2*c^4)-a*c*(b*c^2*(-2*B*d+C*c)-a*d^2*(-B*d+2*C*c)))*sqrt(b*x^2+a)/a^2/c^2/(a*d^2+b*c^2)^2/(d*x+c)+d^2*(a*d^3*(-2*A*d+B*c)-b*c^2*(5*A*d^2-4*B*c*d+3*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^3/(a*d^2+b*c^2)^(5/2)-(-2*A*d+B*c)*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(3/2)/c^3,1],
[(C*x^2+B*x+A)/x^3/(d*x+c)^2/(b*x^2+a)^(3/2),x,11,-1/2*A/a/c^2/x^2/sqrt(b*x^2+a)-(-2*A*d+B*c)/a/c^3/x/sqrt(b*x^2+a)+1/2*(2*a*c*(B*a*d^3+C*b*c^3)-A*(4*a^2*d^4+5*a*b*c^2*d^2+3*b^2*c^4)-b*c*(b*c^2*(-5*A*d+4*B*c)+a*d*(-3*A*d^2+2*B*c*d+2*C*c^2))*x)/a^2/c^3/(a*d^2+b*c^2)/(d*x+c)/sqrt(b*x^2+a)-d*(2*b^2*c^4*(-2*A*d+B*c)+a*b*c^2*d*(-4*A*d^2+B*c*d+2*C*c^2)-a^2*d^3*(3*A*d^2-2*B*c*d+C*c^2))*sqrt(b*x^2+a)/a^2/c^3/(a*d^2+b*c^2)^2/(d*x+c)+d^3*(a*d^2*(3*A*d^2-2*B*c*d+C*c^2)+b*c^2*(6*A*d^2-5*B*c*d+4*C*c^2))*arctanh((-b*c*x+a*d)/sqrt(a*d^2+b*c^2)/sqrt(b*x^2+a))/c^4/(a*d^2+b*c^2)^(5/2)-1/2*(2*a*c*(-2*B*d+C*c)-A*(-6*a*d^2+3*b*c^2))*arctanh(sqrt(b*x^2+a)/sqrt(a))/a^(5/2)/c^4,1],
[(B*x+A)*sqrt(-b*x^2+a)/x^3/sqrt(d*x+c),x,16,-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^2-1/4*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x+1/4*sqrt(a)*sqrt(b)*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/4*sqrt(a)*sqrt(b)*(A*d+4*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/sqrt(d*x+c)/sqrt(-b*x^2+a)+1/4*(-3*A*a*d^2+4*A*b*c^2+4*B*a*c*d)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(B*x+A)/x/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,15,sqrt(d*x+c)*(A*b*c-a*B*d+b*(-A*d+B*c)*x)/a/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)+sqrt(b)*(-A*d+B*c)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-B*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*sqrt(-b*x^2+a)*(C*x^2+B*x+A)/sqrt(d*x+c),x,15,-2/45045*(3*a^2*d^4*(-325*B*d+432*C*c)+64*b^2*c^3*(143*A*d^2-130*B*c*d+120*C*c^2)+2*a*b*c*d^2*(1287*A*d^2-1326*B*c*d+1312*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^6+2/15015*(539*a^2*C*d^4+16*b^2*c^2*(143*A*d^2-130*B*c*d+120*C*c^2)+a*b*d^2*(1001*A*d^2-988*B*c*d+956*C*c^2))*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^5+2/3003*(a*d^2*(-195*B*d+367*C*c)+b*c*(715*A*d^2-923*B*c*d+1083*C*c^2))*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b^2/d^4-2/1287*(77*a*C*d^2+b*(143*A*d^2-364*B*c*d+633*C*c^2))*(d*x+c)^(3/2)*(-b*x^2+a)^(3/2)/b^2/d^4+2/143*(-13*B*d+45*C*c)*(d*x+c)^(5/2)*(-b*x^2+a)^(3/2)/b/d^4-2/13*C*(d*x+c)^(7/2)*(-b*x^2+a)^(3/2)/b/d^4-4/45045*sqrt(a)*(1617*a^3*C*d^6-64*b^3*c^4*(143*A*d^2-130*B*c*d+120*C*c^2)+3*a^2*b*d^4*(1001*A*d^2-663*B*c*d+524*C*c^2)+2*a*b^2*c^2*d^2*(2145*A*d^2-1794*B*c*d+1568*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^7/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-4/45045*sqrt(a)*(-a*d^2+b*c^2)*(3*a^2*d^4*(-325*B*d+432*C*c)+64*b^2*c^3*(143*A*d^2-130*B*c*d+120*C*c^2)+2*a*b*c*d^2*(1287*A*d^2-1326*B*c*d+1312*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^7/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*sqrt(-b*x^2+a)*(C*x^2+B*x+A)/sqrt(d*x+c),x,14,2/3465*(75*a^2*C*d^4+3*a*b*d^2*(55*A*d^2-66*B*c*d+68*C*c^2)+8*b^2*c^2*(99*A*d^2-88*B*c*d+80*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^5-2/1155*(a*d^2*(-77*B*d+76*C*c)+2*b*c*(99*A*d^2-88*B*c*d+80*C*c^2))*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^4-2/231*(15*a*C*d^2+b*(33*A*d^2-55*B*c*d+71*C*c^2))*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b^2/d^3+2/99*(-11*B*d+28*C*c)*(d*x+c)^(3/2)*(-b*x^2+a)^(3/2)/b/d^3-2/11*C*(d*x+c)^(5/2)*(-b*x^2+a)^(3/2)/b/d^3+4/3465*sqrt(a)*(3*a^2*d^4*(-77*B*d+51*C*c)-8*b^2*c^3*(99*A*d^2-88*B*c*d+80*C*c^2)+3*a*b*c*d^2*(143*A*d^2-110*B*c*d+92*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^6/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+4/3465*sqrt(a)*(-a*d^2+b*c^2)*(75*a^2*C*d^4+3*a*b*d^2*(55*A*d^2-66*B*c*d+68*C*c^2)+8*b^2*c^2*(99*A*d^2-88*B*c*d+80*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^6/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*sqrt(-b*x^2+a)*(C*x^2+B*x+A)/sqrt(d*x+c),x,13,-2/315*(3*a*d^2*(-5*B*d+6*C*c)+4*b*c*(21*A*d^2-18*B*c*d+16*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^4+2/105*(7*a*C*d^2+b*(21*A*d^2-18*B*c*d+16*C*c^2))*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^3+2/21*(-3*B*d+5*C*c)*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b/d^2-2/9*C*(d*x+c)^(3/2)*(-b*x^2+a)^(3/2)/b/d^2-4/315*sqrt(a)*(21*a^2*C*d^4-4*b^2*c^2*(21*A*d^2-18*B*c*d+16*C*c^2)+3*a*b*d^2*(21*A*d^2-13*B*c*d+10*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^5/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-4/315*sqrt(a)*(-a*d^2+b*c^2)*(3*a*d^2*(-5*B*d+6*C*c)+4*b*c*(21*A*d^2-18*B*c*d+16*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^5/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[sqrt(-b*x^2+a)*(C*x^2+B*x+A)/sqrt(d*x+c),x,12,2/105*(35*A*b+5*a*C+4*b*c*(-7*B*d+6*C*c)/d^2)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d-2/35*(-7*B*d+6*C*c)*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/d^2-2/7*C*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b/d+4/105*sqrt(a)*(a*d^2*(-21*B*d+13*C*c)-b*c*(35*A*d^2-28*B*c*d+24*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^4/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+4/105*sqrt(a)*(-a*d^2+b*c^2)*(5*a*C*d^2+b*(35*A*d^2-28*B*c*d+24*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[sqrt(-b*x^2+a)*(C*x^2+B*x+A)/x/sqrt(d*x+c),x,16,-2/15*(-5*B*d+4*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/d^2+2/5*C*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/d-2/15*sqrt(a)*(6*a*C*d^2-b*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2/15*sqrt(a)*(2*a*d^2*(-5*B*d+4*C*c)-b*c*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^3/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*a*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[sqrt(-b*x^2+a)*(C*x^2+B*x+A)/x^2/sqrt(d*x+c),x,16,2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/d-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x-1/3*sqrt(a)*sqrt(b)*(-3*A*d^2-6*B*c*d+4*C*c^2)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/d^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/3*sqrt(a)*(4*a*C*d^2-b*(3*A*d^2-6*B*c*d+4*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^2/sqrt(d*x+c)/sqrt(-b*x^2+a)-a*(-A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[sqrt(-b*x^2+a)*(C*x^2+B*x+A)/x^3/sqrt(d*x+c),x,16,-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^2-1/4*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x+1/4*sqrt(a)*sqrt(b)*(-3*A*d^2+4*B*c*d+8*C*c^2)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/d/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/4*sqrt(a)*sqrt(b)*(-A*d^2-4*B*c*d+8*C*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/d/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(4*a*c*(-B*d+2*C*c)-A*(-3*a*d^2+4*b*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[sqrt(-b*x^2+a)*(C*x^2+B*x+A)/x^4/sqrt(d*x+c),x,17,-1/3*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^3-1/12*(-5*A*d+6*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x^2-1/24*(6*a*c*(-3*B*d+4*C*c)-A*(-15*a*d^2+8*b*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^3/x-1/24*sqrt(b)*(-15*A*a*d^2+8*A*b*c^2+18*B*a*c*d-24*C*a*c^2)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/24*sqrt(b)*(6*a*c*(B*d+4*C*c)+A*(-5*a*d^2+8*b*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a)+1/8*(4*b*c^2*(-A*d+2*B*c)+a*d*(5*A*d^2-6*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[sqrt(-b*x^2+a)*(C*x^2+B*x+A)/x^5/sqrt(d*x+c),x,18,-1/4*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^4-1/24*(-7*A*d+8*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x^3-1/96*(8*a*c*(-5*B*d+6*C*c)-A*(-35*a*d^2+12*b*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^3/x^2+1/192*(4*b*c^2*(-11*A*d+16*B*c)+3*a*d*(35*A*d^2-40*B*c*d+48*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^4/x-1/192*sqrt(b)*(4*b*c^2*(-11*A*d+16*B*c)+3*a*d*(35*A*d^2-40*B*c*d+48*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^4/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/192*sqrt(b)*(4*b*c^2*(-5*A*d+16*B*c)+a*d*(35*A*d^2-40*B*c*d+48*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a)+1/64*(A*(-35*a^2*d^4+24*a*b*c^2*d^2+16*b^2*c^4)-8*a*c*(a*d^2*(-5*B*d+6*C*c)-4*b*c^2*(-B*d+2*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/sqrt(d*x+c),x,16,4/45045*(195*a^3*C*d^6+9*a^2*b*d^4*(65*A*d^2-71*B*c*d+68*C*c^2)-64*b^3*c^4*(65*A*d^2-60*B*c*d+56*C*c^2)+6*a*b^2*c^2*d^2*(637*A*d^2-544*B*c*d+480*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^7-4/15015*(3*a^2*d^4*(-77*B*d+71*C*c)-16*b^2*c^3*(65*A*d^2-60*B*c*d+56*C*c^2)+a*b*c*d^2*(793*A*d^2-666*B*c*d+580*C*c^2))*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^6+2/9009*(39*a^2*C*d^4+3*a*b*d^2*(39*A*d^2-58*B*c*d+68*C*c^2)+16*b^2*c^2*(65*A*d^2-60*B*c*d+56*C*c^2))*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b^2/d^5-2/1287*(3*a*d^2*(-11*B*d+12*C*c)+2*b*c*(65*A*d^2-60*B*c*d+56*C*c^2))*x*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b/d^4-2/429*(13*a*C*d^2+b*(39*A*d^2-69*B*c*d+93*C*c^2))*sqrt(d*x+c)*(-b*x^2+a)^(5/2)/b^2/d^3+2/39*(-3*B*d+8*C*c)*(d*x+c)^(3/2)*(-b*x^2+a)^(5/2)/b/d^3-2/15*C*(d*x+c)^(5/2)*(-b*x^2+a)^(5/2)/b/d^3+8/45045*sqrt(a)*(3*a^3*d^6*(-231*B*d+148*C*c)+64*b^3*c^5*(65*A*d^2-60*B*c*d+56*C*c^2)+3*a^2*b*c*d^4*(598*A*d^2-453*B*c*d+376*C*c^2)-6*a*b^2*c^3*d^2*(1157*A*d^2-1024*B*c*d+928*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^8/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+8/45045*sqrt(a)*(-a*d^2+b*c^2)*(195*a^3*C*d^6+9*a^2*b*d^4*(65*A*d^2-71*B*c*d+68*C*c^2)-64*b^3*c^4*(65*A*d^2-60*B*c*d+56*C*c^2)+6*a*b^2*c^2*d^2*(637*A*d^2-544*B*c*d+480*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^8/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/sqrt(d*x+c),x,15,-4/45045*(9*a^2*d^4*(-65*B*d+71*C*c)-32*b^2*c^3*(143*A*d^2-130*B*c*d+120*C*c^2)+3*a*b*c*d^2*(1573*A*d^2-1274*B*c*d+1088*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^6+4/15015*(231*a^2*C*d^4-8*b^2*c^2*(143*A*d^2-130*B*c*d+120*C*c^2)+a*b*d^2*(1001*A*d^2-793*B*c*d+666*C*c^2))*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^5-2/9009*(3*a*d^2*(-39*B*d+58*C*c)+8*b*c*(143*A*d^2-130*B*c*d+120*C*c^2))*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b/d^4+2/1287*(143*A*b+33*a*C+10*b*c*(-13*B*d+12*C*c)/d^2)*x*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b/d+2/143*(-13*B*d+23*C*c)*sqrt(d*x+c)*(-b*x^2+a)^(5/2)/b/d^2-2/13*C*(d*x+c)^(3/2)*(-b*x^2+a)^(5/2)/b/d^2-8/45045*sqrt(a)*(693*a^3*C*d^6+32*b^3*c^4*(143*A*d^2-130*B*c*d+120*C*c^2)+3*a^2*b*d^4*(1001*A*d^2-598*B*c*d+453*C*c^2)-3*a*b^2*c^2*d^2*(2717*A*d^2-2314*B*c*d+2048*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^7/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-8/45045*sqrt(a)*(-a*d^2+b*c^2)*(9*a^2*d^4*(-65*B*d+71*C*c)-32*b^2*c^3*(143*A*d^2-130*B*c*d+120*C*c^2)+3*a*b*c*d^2*(1573*A*d^2-1274*B*c*d+1088*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^7/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/sqrt(d*x+c),x,14,4/3465*(45*a^2*C*d^4-4*b^2*c^2*(99*A*d^2-88*B*c*d+80*C*c^2)+3*a*b*d^2*(165*A*d^2-121*B*c*d+98*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^5-4/1155*(a*d^2*(-77*B*d+61*C*c)-b*c*(99*A*d^2-88*B*c*d+80*C*c^2))*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/d^4+2/693*(99*A*b+9*a*C+8*b*c*(-11*B*d+10*C*c)/d^2)*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/b/d-2/99*(-11*B*d+10*C*c)*x*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/d^2-2/11*C*sqrt(d*x+c)*(-b*x^2+a)^(5/2)/b/d+8/3465*sqrt(a)*(3*a^2*d^4*(-77*B*d+46*C*c)+4*b^2*c^3*(99*A*d^2-88*B*c*d+80*C*c^2)-3*a*b*c*d^2*(264*A*d^2-209*B*c*d+178*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^6/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+8/3465*sqrt(a)*(-a*d^2+b*c^2)*(45*a^2*C*d^4-4*b^2*c^2*(99*A*d^2-88*B*c*d+80*C*c^2)+3*a*b*d^2*(165*A*d^2-121*B*c*d+98*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^6/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x/sqrt(d*x+c),x,18,-4/315*(3*a*d^2*(-15*B*d+11*C*c)-2*b*c*(21*A*d^2-18*B*c*d+16*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/d^4+2/105*(14*a*C*d^2-b*(21*A*d^2-18*B*c*d+16*C*c^2))*x*sqrt(d*x+c)*sqrt(-b*x^2+a)/d^3-2/63*(-9*B*d+8*C*c)*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/d^2+2/9*C*x*sqrt(d*x+c)*(-b*x^2+a)^(3/2)/d-2/315*sqrt(a)*(84*a^2*C*d^4+8*b^2*c^2*(21*A*d^2-18*B*c*d+16*C*c^2)-3*a*b*d^2*(147*A*d^2-96*B*c*d+76*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^5/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2/315*sqrt(a)*(12*a^2*d^4*(-15*B*d+11*C*c)+8*b^2*c^3*(21*A*d^2-18*B*c*d+16*C*c^2)-a*b*c*d^2*(483*A*d^2-324*B*c*d+260*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^5/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*a^2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^2/sqrt(d*x+c),x,18,2/105*(45*a*C*d^2-b*(35*A*d^2-49*B*c*d+57*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/d^3-a*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x+2/35*b*(-7*B*d+16*C*c)*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/d^3-2/7*b*C*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/d^3-1/105*sqrt(a)*sqrt(b)*(3*a*d^2*(-35*A*d^2-98*B*c*d+64*C*c^2)-4*b*c^2*(35*A*d^2-28*B*c*d+24*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/d^4/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/105*sqrt(a)*(120*a^2*C*d^4+4*b^2*c^2*(35*A*d^2-28*B*c*d+24*C*c^2)-a*b*d^2*(245*A*d^2-322*B*c*d+216*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^4/sqrt(d*x+c)/sqrt(-b*x^2+a)-a^2*(-A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^3/sqrt(d*x+c),x,18,2/15*b*(-5*B*d+7*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/d^2-1/2*a*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^2-1/4*a*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x-2/5*b*C*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/d^2+1/60*sqrt(a)*sqrt(b)*(3*a*d^2*(-15*A*d^2+20*B*c*d+56*C*c^2)-8*b*c^2*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/d^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/60*sqrt(a)*sqrt(b)*(a*d^2*(-15*A*d^2-140*B*c*d+184*C*c^2)-8*b*c^2*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/d^3/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*a*(4*a*c*(-B*d+2*C*c)-3*A*(-a*d^2+4*b*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^4/sqrt(d*x+c),x,18,-2/3*b*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/d-1/3*a*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^3-1/12*a*(-5*A*d+6*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x^2-1/24*(6*a*c*(-3*B*d+4*C*c)-A*(-15*a*d^2+32*b*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^3/x+1/24*sqrt(a)*sqrt(b)*(16*b*c^2*(-2*A*d^2-3*B*c*d+2*C*c^2)+3*a*d^2*(5*A*d^2-6*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^3/d^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/24*sqrt(a)*sqrt(b)*(a*d^2*(-5*A*d^2+6*B*c*d+56*C*c^2)-16*b*c^2*(A*d^2-3*B*c*d+2*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/d^2/sqrt(d*x+c)/sqrt(-b*x^2+a)+1/8*a*(12*b*c^2*(-A*d+2*B*c)+a*d*(5*A*d^2-6*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^5/sqrt(d*x+c),x,18,-1/4*a*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^4-1/24*a*(-7*A*d+8*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x^3+1/96*(-35*A*a*d^2+60*A*b*c^2+40*B*a*c*d-48*C*a*c^2)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^3/x^2+1/192*(4*b*c^2*(-47*A*d+64*B*c)+3*a*d*(35*A*d^2-40*B*c*d+48*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^4/x-1/192*sqrt(a)*sqrt(b)*(4*b*c^2*(-47*A*d^2+64*B*c*d+96*C*c^2)+3*a*d^2*(35*A*d^2-40*B*c*d+48*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^4/d/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/192*sqrt(a)*sqrt(b)*(4*b*c^2*(-17*A*d^2-32*B*c*d+96*C*c^2)+a*d^2*(35*A*d^2-40*B*c*d+48*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^3/d/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/64*(A*(35*a^2*d^4-72*a*b*c^2*d^2+48*b^2*c^4)+8*a*c*(a*d^2*(-5*B*d+6*C*c)-12*b*c^2*(-B*d+2*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(-b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^6/sqrt(d*x+c),x,19,-1/5*a*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/c/x^5-1/40*a*(-9*A*d+10*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^2/x^4-1/240*(10*a*c*(-7*B*d+8*C*c)-A*(-63*a*d^2+96*b*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^3/x^3+1/960*(12*b*c^2*(-41*A*d+50*B*c)+5*a*d*(63*A*d^2-70*B*c*d+80*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/c^4/x^2-1/1920*(3*A*(315*a^2*d^4-516*a*b*c^2*d^2+128*b^2*c^4)-10*a*c*(4*b*c^2*(-47*B*d+64*C*c)-15*a*d^2*(-7*B*d+8*C*c)))*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^5/x+1/1920*sqrt(b)*(3*A*(315*a^2*d^4-516*a*b*c^2*d^2+128*b^2*c^4)-10*a*c*(4*b*c^2*(-47*B*d+64*C*c)-15*a*d^2*(-7*B*d+8*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^5/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/1920*sqrt(b)*(A*(315*a^2*d^4-564*a*b*c^2*d^2+384*b^2*c^4)+10*a*c*(5*a*d^2*(-7*B*d+8*C*c)+4*b*c^2*(17*B*d+32*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^4/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/128*(48*b^2*c^4*(-A*d+2*B*c)+24*a*b*c^2*d*(5*A*d^2-6*B*c*d+8*C*c^2)-a^2*d^3*(63*A*d^2-70*B*c*d+80*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^5/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(-b*x^2+a),x,13,2/315*(3*a*d^2*(-25*B*d+37*C*c)+b*c*(147*A*d^2-171*B*c*d+187*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^4-2/315*(49*a*C*d^2+b*(63*A*d^2-144*B*c*d+233*C*c^2))*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b^2/d^4+2/63*(-9*B*d+29*C*c)*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/b/d^4-2/9*C*(d*x+c)^(7/2)*sqrt(-b*x^2+a)/b/d^4-2/315*sqrt(a)*(147*a^2*C*d^4+8*b^2*c^2*(21*A*d^2-18*B*c*d+16*C*c^2)+3*a*b*d^2*(63*A*d^2-44*B*c*d+36*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^5/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2/315*sqrt(a)*(3*a^2*d^4*(-25*B*d+37*C*c)+8*b^2*c^3*(21*A*d^2-18*B*c*d+16*C*c^2)+a*b*c*d^2*(147*A*d^2-96*B*c*d+76*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^5/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(-b*x^2+a),x,12,-2/105*(25*a*C*d^2+b*(35*A*d^2-49*B*c*d+57*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^3+2/35*(-7*B*d+16*C*c)*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b/d^3-2/7*C*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/b/d^3+2/105*sqrt(a)*(a*d^2*(-63*B*d+44*C*c)+2*b*c*(35*A*d^2-28*B*c*d+24*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^4/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/105*sqrt(a)*(25*a^2*C*d^4+a*b*d^2*(35*A*d^2-49*B*c*d+32*C*c^2)+2*b^2*c^2*(35*A*d^2-28*B*c*d+24*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(-b*x^2+a),x,11,2/15*(-5*B*d+7*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^2-2/5*C*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b/d^2-2/15*sqrt(a)*(15*A*b+9*a*C+2*b*c*(-5*B*d+4*C*c)/d^2)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2/15*sqrt(a)*(a*d^2*(-5*B*d+7*C*c)+b*c*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(-b*x^2+a),x,10,-2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d+2/3*sqrt(a)*(-3*B*d+2*C*c)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/3*sqrt(a)*(a*C*d^2+b*(3*A*d^2-3*B*c*d+2*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x/sqrt(d*x+c)/sqrt(-b*x^2+a),x,14,-2*sqrt(a)*C*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2*sqrt(a)*(-B*d+C*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^2/sqrt(d*x+c)/sqrt(-b*x^2+a),x,15,-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c/x+A*sqrt(b)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-(A*b+2*C*a)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(-A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^3/sqrt(d*x+c)/sqrt(-b*x^2+a),x,16,-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c/x^2-1/4*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^2/x+1/4*sqrt(b)*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/4*sqrt(b)*(-A*d+4*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(3*A*a*d^2+4*A*b*c^2-4*B*a*c*d+8*C*a*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*(C*x^2+B*x+A)/(d*x+c)^(3/2)/sqrt(-b*x^2+a),x,13,-2*c^3*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d^4/(-a*d^2+b*c^2)/sqrt(d*x+c)-2/105*(25*a*C*d^2+b*(35*A*d^2-84*B*c*d+141*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^4+2/35*(-7*B*d+23*C*c)*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b/d^4-2/7*C*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/b/d^4-2/105*sqrt(a)*(a^2*d^4*(-63*B*d+107*C*c)-8*b^2*c^3*(35*A*d^2-42*B*c*d+48*C*c^2)+a*b*c*d^2*(175*A*d^2-168*B*c*d+172*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^5/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/105*sqrt(a)*(25*a^2*C*d^4+a*b*d^2*(35*A*d^2-84*B*c*d+116*C*c^2)+8*b^2*c^2*(35*A*d^2-42*B*c*d+48*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^5/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)^(3/2)/sqrt(-b*x^2+a),x,12,2*c^2*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d^3/(-a*d^2+b*c^2)/sqrt(d*x+c)+2/15*(-5*B*d+12*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^3-2/5*C*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b/d^3+2/15*sqrt(a)*(9*a^2*C*d^4+a*b*d^2*(15*A*d^2-25*B*c*d+24*C*c^2)-2*b^2*c^2*(15*A*d^2-20*B*c*d+24*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^4/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2/15*sqrt(a)*(a*d^2*(-5*B*d+12*C*c)+2*b*c*(15*A*d^2-20*B*c*d+24*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(C*x^2+B*x+A)/(d*x+c)^(3/2)/sqrt(-b*x^2+a),x,11,-2*c*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d^2/(-a*d^2+b*c^2)/sqrt(d*x+c)-2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^2-2/3*sqrt(a)*(a*d^2*(-3*B*d+5*C*c)-b*c*(3*A*d^2-6*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^3/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/3*sqrt(a)*(a*C*d^2+b*(3*A*d^2-6*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/(d*x+c)^(3/2)/sqrt(-b*x^2+a),x,10,2*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d/(-a*d^2+b*c^2)/sqrt(d*x+c)+2*sqrt(a)*(a*C*d^2-b*(A*d^2-B*c*d+2*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^2/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2*sqrt(a)*(-B*d+2*C*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x/(d*x+c)^(3/2)/sqrt(-b*x^2+a),x,15,-2*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/c/(-a*d^2+b*c^2)/sqrt(d*x+c)+2*sqrt(a)*sqrt(b)*(A*d^2-B*c*d+C*c^2)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/d/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2*sqrt(a)*C*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^2/(d*x+c)^(3/2)/sqrt(-b*x^2+a),x,16,2*d*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/c^2/(-a*d^2+b*c^2)/sqrt(d*x+c)-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^2/x-sqrt(b)*(2*a*c*(-B*d+C*c)-A*(-3*a*d^2+b*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^2/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-A*sqrt(b)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c/sqrt(d*x+c)/sqrt(-b*x^2+a)-(-3*A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^3/(d*x+c)^(3/2)/sqrt(-b*x^2+a),x,17,-2*d^2*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/c^3/(-a*d^2+b*c^2)/sqrt(d*x+c)-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^2/x^2-1/4*(-7*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^3/x+1/4*sqrt(b)*(b*c^2*(-7*A*d+4*B*c)+a*d*(15*A*d^2-12*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^3/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/4*sqrt(b)*(-5*A*d+4*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(15*A*a*d^2+4*A*b*c^2-12*B*a*c*d+8*C*a*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*(C*x^2+B*x+A)/(d*x+c)^(5/2)/sqrt(-b*x^2+a),x,13,-2/3*c^3*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d^4/(-a*d^2+b*c^2)/(d*x+c)^(3/2)-2/3*c^2*(3*a*d^2*(3*A*d^2-4*B*c*d+5*C*c^2)-b*c^2*(5*A*d^2-8*B*c*d+11*C*c^2))*sqrt(-b*x^2+a)/d^4/(-a*d^2+b*c^2)^2/sqrt(d*x+c)+2/15*(-5*B*d+17*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^4-2/5*C*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b/d^4-2/15*sqrt(a)*(9*a^3*C*d^6+5*a^2*b*d^4*(3*A*d^2-8*B*c*d+11*C*c^2)+8*b^3*c^4*(5*A*d^2-10*B*c*d+16*C*c^2)-a*b^2*c^2*d^2*(75*A*d^2-140*B*c*d+212*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^5/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/15*sqrt(a)*(a^2*d^4*(-5*B*d+17*C*c)-8*b^2*c^3*(5*A*d^2-10*B*c*d+16*C*c^2)+a*b*c*d^2*(45*A*d^2-80*B*c*d+116*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^5/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)^(5/2)/sqrt(-b*x^2+a),x,12,2/3*c^2*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d^3/(-a*d^2+b*c^2)/(d*x+c)^(3/2)-2/3*c*(b*c^2*(2*A*d^2-5*B*c*d+8*C*c^2)-3*a*d^2*(2*A*d^2-3*B*c*d+4*C*c^2))*sqrt(-b*x^2+a)/d^3/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^3+2/3*sqrt(a)*(a^2*d^4*(-3*B*d+8*C*c)+2*b^2*c^3*(A*d^2-4*B*c*d+8*C*c^2)-a*b*c*d^2*(6*A*d^2-15*B*c*d+28*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^4/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2/3*sqrt(a)*(a^2*C*d^4-2*b^2*c^2*(A*d^2-4*B*c*d+8*C*c^2)+a*b*d^2*(3*A*d^2-9*B*c*d+16*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^4/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(C*x^2+B*x+A)/(d*x+c)^(5/2)/sqrt(-b*x^2+a),x,11,-2/3*c*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d^2/(-a*d^2+b*c^2)/(d*x+c)^(3/2)+2/3*(b*c^2*(-A*d^2-2*B*c*d+5*C*c^2)-3*a*d^2*(A*d^2-2*B*c*d+3*C*c^2))*sqrt(-b*x^2+a)/d^2/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-2/3*sqrt(a)*(3*a^2*C*d^4+b^2*c^2*(-A*d^2-2*B*c*d+8*C*c^2)-3*a*b*d^2*(A*d^2-2*B*c*d+5*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^3/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/3*sqrt(a)*(3*a*d^2*(-B*d+3*C*c)-b*c*(-A*d^2-2*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^3/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/(d*x+c)^(5/2)/sqrt(-b*x^2+a),x,11,2/3*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/d/(-a*d^2+b*c^2)/(d*x+c)^(3/2)+2/3*(3*a*d^2*(-B*d+2*C*c)-b*c*(-4*A*d^2+B*c*d+2*C*c^2))*sqrt(-b*x^2+a)/d/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-2/3*sqrt(a)*sqrt(b)*(3*a*d^2*(-B*d+2*C*c)-b*c*(-4*A*d^2+B*c*d+2*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/d^2/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2/3*sqrt(a)*(3*a*C*d^2-b*(-A*d^2+B*c*d+2*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x/(d*x+c)^(5/2)/sqrt(-b*x^2+a),x,16,-2/3*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/c/(-a*d^2+b*c^2)/(d*x+c)^(3/2)-2/3*(3*a*d^2*(-A*d^2+C*c^2)+b*c^2*(7*A*d^2-4*B*c*d+C*c^2))*sqrt(-b*x^2+a)/c^2/(-a*d^2+b*c^2)^2/sqrt(d*x+c)+2/3*sqrt(a)*sqrt(b)*(3*a*d^2*(-A*d^2+C*c^2)+b*c^2*(7*A*d^2-4*B*c*d+C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/d/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/3*sqrt(a)*sqrt(b)*(A*d^2-B*c*d+C*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/d/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^2/(d*x+c)^(5/2)/sqrt(-b*x^2+a),x,17,2/3*d*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/c^2/(-a*d^2+b*c^2)/(d*x+c)^(3/2)+2/3*d*(3*a*d^3*(-2*A*d+B*c)+b*c^2*(10*A*d^2-7*B*c*d+4*C*c^2))*sqrt(-b*x^2+a)/c^3/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^3/x+1/3*sqrt(b)*(A*(15*a^2*d^4-26*a*b*c^2*d^2+3*b^2*c^4)-2*a*c*(3*a*B*d^3+b*c^2*(-7*B*d+4*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^3/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/3*sqrt(b)*(2*a*c*(-B*d+C*c)-A*(-5*a*d^2+3*b*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(-5*A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^3/(d*x+c)^(5/2)/sqrt(-b*x^2+a),x,18,-2/3*d^2*(A*d^2-B*c*d+C*c^2)*sqrt(-b*x^2+a)/c^3/(-a*d^2+b*c^2)/(d*x+c)^(3/2)+2/3*d^2*(3*a*d^2*(3*A*d^2-2*B*c*d+C*c^2)-b*c^2*(13*A*d^2-10*B*c*d+7*C*c^2))*sqrt(-b*x^2+a)/c^4/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^3/x^2-1/4*(-11*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^4/x+1/12*sqrt(b)*(3*b^2*c^4*(-11*A*d+4*B*c)-3*a^2*d^3*(35*A*d^2-20*B*c*d+8*C*c^2)+2*a*b*c^2*d*(85*A*d^2-52*B*c*d+28*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^4/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/12*sqrt(b)*(3*b*c^2*(-9*A*d+4*B*c)+a*d*(35*A*d^2-20*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^3/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(35*A*a*d^2+4*A*b*c^2-20*B*a*c*d+8*C*a*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x)/x/sqrt(d*x+c)/sqrt(-b*x^2+a),x,10,-2*sqrt(a)*C*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+2*sqrt(a)*(-B*d+C*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^4*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,13,a*sqrt(d*x+c)*(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^3/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)+2/105*(60*a*C*d^2+b*(35*A*d^2-49*B*c*d+57*C*c^2))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^3/d^3-2/35*(-7*B*d+16*C*c)*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b^2/d^3+2/7*C*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/b^2/d^3+1/105*sqrt(a)*(9*a^2*d^4*(-49*B*d+37*C*c)-a*b*c*d^2*(-245*A*d^2-224*B*c*d+132*C*c^2)-4*b^2*c^3*(35*A*d^2-28*B*c*d+24*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^4/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/105*sqrt(a)*(225*a^2*C*d^4+4*b^2*c^2*(35*A*d^2-28*B*c*d+24*C*c^2)+a*b*d^2*(175*A*d^2-308*B*c*d+204*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(7/2)/d^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,12,a*sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/b^2/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)-2/15*(-5*B*d+7*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^2+2/5*C*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b^2/d^2-1/15*sqrt(a)*(63*a^2*C*d^4-a*b*d^2*(-45*A*d^2+35*B*c*d+32*C*c^2)-2*b^2*c^2*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^3/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/15*sqrt(a)*(a*d^2*(-25*B*d+44*C*c)+2*b*c*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,11,sqrt(d*x+c)*(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^2/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)+2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d+1/3*sqrt(a)*(a*d^2*(-9*B*d+7*C*c)-b*c*(-3*A*d^2-6*B*c*d+4*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^2/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/3*sqrt(a)*(5*a*C*d^2+b*(3*A*d^2-6*B*c*d+4*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,10,sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+b*(B*c-(A+a*C/b)*d)*x)/b/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)-sqrt(a)*(3*a*C*d^2-b*(-A*d^2+B*c*d+2*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-sqrt(a)*(-B*d+2*C*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,10,sqrt(d*x+c)*(a*(B*c-(A+a*C/b)*d)+(A*b*c-B*a*d+C*a*c)*x)/a/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)+(A*b*c-B*a*d+C*a*c)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-(A*b-C*a)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/b^(3/2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,15,sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+(b*B*c-(A*b+C*a)*d)*x)/a/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)+(-A*b*d+B*b*c-C*a*d)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-B*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^2/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,16,sqrt(d*x+c)*(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/a^2/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c/x+sqrt(b)*(a*c*(-B*d+C*c)+A*(-a*d^2+2*b*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-(2*A*b+C*a)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/sqrt(b)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(2*B-A*d/c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^3/sqrt(d*x+c)/(-b*x^2+a)^(3/2),x,17,b*sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/a^2/(-a*d^2+b*c^2)/sqrt(-b*x^2+a)-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c/x^2-1/4*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^2/x+1/4*sqrt(b)*(b*c^2*(-7*A*d+8*B*c)-a*d*(-3*A*d^2+4*B*c*d+4*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^2/(-a*d^2+b*c^2)/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/4*sqrt(b)*(-A*d+8*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(12*A*b/a+8*C-d*(-3*A*d+4*B*c)/c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^4*(C*x^2+B*x+A)/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,13,a*(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^3/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(a*A*b^2*c^2*d^4+a^3*C*d^6+a^2*b*d^4*(A*d^2-2*B*c*d+C*c^2)+2*b^3*c^4*(A*d^2-B*c*d+C*c^2))*sqrt(-b*x^2+a)/b^3/d^3/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-2/15*(-5*B*d+12*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^3+2/5*C*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b^2/d^3+1/15*sqrt(a)*(63*a^3*C*d^6-5*a^2*b*d^4*(-9*A*d^2+16*B*c*d+3*C*c^2)+4*b^3*c^4*(15*A*d^2-20*B*c*d+24*C*c^2)-a*b^2*c^2*d^2*(45*A*d^2-100*B*c*d+84*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^4/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/15*sqrt(a)*(a^2*d^4*(-25*B*d+69*C*c)-4*b^2*c^3*(15*A*d^2-20*B*c*d+24*C*c^2)+a*b*c*d^2*(45*A*d^2-40*B*c*d+12*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^4/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*(C*x^2+B*x+A)/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,12,a*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/b^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(a*b*c*d^3*(-2*A*d+B*c)-a^2*d^4*(-B*d+2*C*c)-2*b^2*c^3*(A*d^2-B*c*d+C*c^2))*sqrt(-b*x^2+a)/b^2/d^2/(-a*d^2+b*c^2)^2/sqrt(d*x+c)+2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^2-1/3*sqrt(a)*(a^2*d^4*(-9*B*d+16*C*c)-a*b*c*d^2*(-6*A*d^2-9*B*c*d+20*C*c^2)+2*b^2*c^3*(3*A*d^2-6*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^3/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/3*sqrt(a)*(5*a^2*C*d^4+a*b*d^2*(3*A*d^2-9*B*c*d+8*C*c^2)-2*b^2*c^2*(3*A*d^2-6*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^3/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,11,(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(a^2*C*d^4+a*b*d^2*(A*d^2-2*B*c*d+C*c^2)+b^2*c^2*(3*A*d^2-2*B*c*d+2*C*c^2))*sqrt(-b*x^2+a)/b^2/d/(-a*d^2+b*c^2)^2/sqrt(d*x+c)+sqrt(a)*(3*a^2*C*d^4-a*b*d^2*(-A*d^2+2*B*c*d+3*C*c^2)+b^2*c^2*(3*A*d^2-2*B*c*d+4*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^2/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+sqrt(a)*(a*d^2*(-B*d+3*C*c)-b*c*(A*d^2-2*B*c*d+4*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(C*x^2+B*x+A)/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,11,(A*b*c+a*c*C-a*B*d+b*(B*c-(A+a*C/b)*d)*x)/b/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)+(a*d^2*(-B*d+2*C*c)+b*c*(4*A*d^2-3*B*c*d+2*C*c^2))*sqrt(-b*x^2+a)/b/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-sqrt(a)*(a*d^2*(-B*d+2*C*c)+b*c*(4*A*d^2-3*B*c*d+2*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-sqrt(a)*(a*C*d^2-b*(A*d^2-B*c*d+2*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,11,(a*(B*c-(A+a*C/b)*d)+(A*b*c-B*a*d+C*a*c)*x)/a/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-d*(A*b*(3*a*d^2+b*c^2)+a*(a*C*d^2+b*c*(-4*B*d+3*C*c)))*sqrt(-b*x^2+a)/a/b/(-a*d^2+b*c^2)^2/sqrt(d*x+c)+(A*b*(3*a*d^2+b*c^2)+a*(a*C*d^2+b*c*(-4*B*d+3*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-(A*b*c-B*a*d+C*a*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,16,(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/a/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-d*(b*c^2*(-2*A*d+B*c)-a*d*(2*A*d^2-3*B*c*d+4*C*c^2))*sqrt(-b*x^2+a)/a/c/(-a*d^2+b*c^2)^2/sqrt(d*x+c)+sqrt(b)*(b*c^2*(-2*A*d+B*c)-a*d*(2*A*d^2-3*B*c*d+4*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-(-A*b*d+B*b*c-C*a*d)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^2/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,17,(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/a^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-d*(A*(2*a^2*d^4+a*b*c^2*d^2+b^2*c^4)+a*c*(b*c^2*(-2*B*d+C*c)+a*d^2*(-2*B*d+3*C*c)))*sqrt(-b*x^2+a)/a^2/c^2/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^2/x+sqrt(b)*(A*(3*a^2*d^4-a*b*c^2*d^2+2*b^2*c^4)+a*c*(b*c^2*(-2*B*d+C*c)+a*d^2*(-2*B*d+3*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^2/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-sqrt(b)*(a*c*(-B*d+C*c)+A*(-a*d^2+2*b*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(-3*A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^3/(d*x+c)^(3/2)/(-b*x^2+a)^(3/2),x,18,b*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/a^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-d*(b^2*c^4*(-2*A*d+B*c)-a*b*c^3*d*(-B*d+2*C*c)-2*a^2*d^3*(A*d^2-B*c*d+C*c^2))*sqrt(-b*x^2+a)/a^2/c^3/(-a*d^2+b*c^2)^2/sqrt(d*x+c)-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^2/x^2-1/4*(-7*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^3/x+1/4*sqrt(b)*(b^2*c^4*(-15*A*d+8*B*c)-2*a*b*c^2*d*(-7*A*d^2+2*B*c*d+4*C*c^2)-a^2*d^3*(15*A*d^2-12*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^3/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/4*sqrt(b)*(b*c^2*(-9*A*d+8*B*c)-a*d*(-5*A*d^2+4*B*c*d+4*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(15*A*a*d^2+12*A*b*c^2-12*B*a*c*d+8*C*a*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^2/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^4*(C*x^2+B*x+A)/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,13,a*(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^3/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)-1/3*(3*a*A*b^2*c^2*d^4+3*a^3*C*d^6+3*a^2*b*d^4*(A*d^2-2*B*c*d+C*c^2)+2*b^3*c^4*(A*d^2-B*c*d+C*c^2))*sqrt(-b*x^2+a)/b^3/d^3/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)-1/3*(3*a^3*d^6*(-B*d+3*C*c)-2*b^3*c^5*(2*A*d^2-5*B*c*d+8*C*c^2)+3*a^2*b*c*d^4*(3*A*d^2-3*B*c*d+C*c^2)+3*a*b^2*c^3*d^2*(9*A*d^2-10*B*c*d+12*C*c^2))*sqrt(-b*x^2+a)/b^2/d^3/(-a*d^2+b*c^2)^3/sqrt(d*x+c)+2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^3+1/3*sqrt(a)*(a^3*d^6*(-9*B*d+25*C*c)-9*a^2*b*c*d^4*(-A*d^2-B*c*d+5*C*c^2)-4*b^3*c^5*(A*d^2-4*B*c*d+8*C*c^2)+3*a*b^2*c^3*d^2*(9*A*d^2-16*B*c*d+28*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^4/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/3*sqrt(a)*(5*a^3*C*d^6+3*a^2*b*d^4*(A*d^2-4*B*c*d+5*C*c^2)+4*b^3*c^4*(A*d^2-4*B*c*d+8*C*c^2)-3*a*b^2*c^2*d^2*(5*A*d^2-12*B*c*d+20*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^4/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*(C*x^2+B*x+A)/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,12,a*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/b^2/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)-1/3*(3*a*b*c*d^3*(-2*A*d+B*c)-3*a^2*d^4*(-B*d+2*C*c)-2*b^2*c^3*(A*d^2-B*c*d+C*c^2))*sqrt(-b*x^2+a)/b^2/d^2/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)+1/3*(3*a^3*C*d^6-2*b^3*c^4*(-A*d^2-2*B*c*d+5*C*c^2)+3*a^2*b*d^4*(A*d^2-3*B*c*d+3*C*c^2)+3*a*b^2*c^2*d^2*(9*A*d^2-9*B*c*d+10*C*c^2))*sqrt(-b*x^2+a)/b^2/d^2/(-a*d^2+b*c^2)^3/sqrt(d*x+c)-1/3*sqrt(a)*(9*a^3*C*d^6-2*b^3*c^4*(-A*d^2-2*B*c*d+8*C*c^2)-3*a^2*b*d^4*(-A*d^2+3*B*c*d+3*C*c^2)+3*a*b^2*c^2*d^2*(9*A*d^2-9*B*c*d+16*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^3/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/3*sqrt(a)*(3*a^2*d^4*(-B*d+4*C*c)+2*b^2*c^3*(-A*d^2-2*B*c*d+8*C*c^2)-3*a*b*c*d^2*(2*A*d^2-5*B*c*d+12*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^3/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,12,(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^2/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)-1/3*(3*a^2*C*d^4+3*a*b*d^2*(A*d^2-2*B*c*d+C*c^2)+b^2*c^2*(5*A*d^2-2*B*c*d+2*C*c^2))*sqrt(-b*x^2+a)/b^2/d/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)-1/3*(3*a^2*d^4*(-B*d+3*C*c)-b^2*c^3*(-11*A*d^2+2*B*c*d+4*C*c^2)+3*a*b*c*d^2*(7*A*d^2-9*B*c*d+9*C*c^2))*sqrt(-b*x^2+a)/b/d/(-a*d^2+b*c^2)^3/sqrt(d*x+c)+1/3*sqrt(a)*(3*a^2*d^4*(-B*d+3*C*c)-b^2*c^3*(-11*A*d^2+2*B*c*d+4*C*c^2)+3*a*b*c*d^2*(7*A*d^2-9*B*c*d+9*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d^2/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/3*sqrt(a)*(3*a^2*C*d^4+b^2*c^2*(-5*A*d^2+2*B*c*d+4*C*c^2)-3*a*b*d^2*(A*d^2-2*B*c*d+5*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^2/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(C*x^2+B*x+A)/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,12,(A*b*c+a*c*C-a*B*d+b*(B*c-(A+a*C/b)*d)*x)/b/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)+1/3*(3*a*d^2*(-B*d+2*C*c)+b*c*(8*A*d^2-5*B*c*d+2*C*c^2))*sqrt(-b*x^2+a)/b/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)+1/3*(3*a^2*C*d^4+3*a*b*d^2*(3*A*d^2-7*B*c*d+9*C*c^2)+b^2*c^2*(23*A*d^2-11*B*c*d+2*C*c^2))*sqrt(-b*x^2+a)/b/(-a*d^2+b*c^2)^3/sqrt(d*x+c)-1/3*sqrt(a)*(3*a^2*C*d^4+3*a*b*d^2*(3*A*d^2-7*B*c*d+9*C*c^2)+b^2*c^2*(23*A*d^2-11*B*c*d+2*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/3*sqrt(a)*(3*a*d^2*(-B*d+2*C*c)+b*c*(8*A*d^2-5*B*c*d+2*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(b)/d/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,12,(a*(B*c-(A+a*C/b)*d)+(A*b*c-B*a*d+C*a*c)*x)/a/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)-1/3*d*(A*b*(5*a*d^2+3*b*c^2)+a*(3*a*C*d^2+b*c*(-8*B*d+5*C*c)))*sqrt(-b*x^2+a)/a/b/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)-1/3*d*(A*b*c*(29*a*d^2+3*b*c^2)+a*(b*c^2*(-23*B*d+11*C*c)+3*a*d^2*(-3*B*d+7*C*c)))*sqrt(-b*x^2+a)/a/(-a*d^2+b*c^2)^3/sqrt(d*x+c)+1/3*sqrt(b)*(A*b*c*(29*a*d^2+3*b*c^2)+a*(b*c^2*(-23*B*d+11*C*c)+3*a*d^2*(-3*B*d+7*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/3*(A*b*(5*a*d^2+3*b*c^2)+a*(3*a*C*d^2+b*c*(-8*B*d+5*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,17,(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/a/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)-1/3*d*(3*b*c^2*(-2*A*d+B*c)-a*d*(2*A*d^2-5*B*c*d+8*C*c^2))*sqrt(-b*x^2+a)/a/c/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)-1/3*d*(3*b^2*c^4*(-3*A*d+B*c)-3*a^2*d^3*(-2*A*d^2+3*C*c^2)-a*b*c^2*d*(29*A*d^2-29*B*c*d+23*C*c^2))*sqrt(-b*x^2+a)/a/c^2/(-a*d^2+b*c^2)^3/sqrt(d*x+c)+1/3*sqrt(b)*(3*b^2*c^4*(-3*A*d+B*c)-3*a^2*d^3*(-2*A*d^2+3*C*c^2)-a*b*c^2*d*(29*A*d^2-29*B*c*d+23*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c^2/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/3*sqrt(b)*(3*b*c^2*(-2*A*d+B*c)-a*d*(2*A*d^2-5*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/c/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^2/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,18,(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/a^2/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)-1/3*d*(A*(2*a^2*d^4+3*a*b*c^2*d^2+3*b^2*c^4)+a*c*(3*b*c^2*(-2*B*d+C*c)+a*d^2*(-2*B*d+5*C*c)))*sqrt(-b*x^2+a)/a^2/c^2/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)-1/3*d*(A*(-12*a^3*d^6+32*a^2*b*c^2*d^4+9*a*b^2*c^4*d^2+3*b^3*c^6)+a*c*(6*a^2*B*d^5+3*b^2*c^4*(-3*B*d+C*c)+29*a*b*c^2*d^2*(-B*d+C*c)))*sqrt(-b*x^2+a)/a^2/c^3/(-a*d^2+b*c^2)^3/sqrt(d*x+c)-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^3/x+1/3*sqrt(b)*(A*(-15*a^3*d^6+41*a^2*b*c^2*d^4+6*b^3*c^6)+a*c*(6*a^2*B*d^5+3*b^2*c^4*(-3*B*d+C*c)+29*a*b*c^2*d^2*(-B*d+C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^3/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/3*sqrt(b)*(A*(5*a^2*d^4-3*a*b*c^2*d^2+6*b^2*c^4)+a*c*(3*b*c^2*(-2*B*d+C*c)+a*d^2*(-2*B*d+5*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^2/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a)-(-5*A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^3/(d*x+c)^(5/2)/(-b*x^2+a)^(3/2),x,19,b*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/a^2/(-a*d^2+b*c^2)/(d*x+c)^(3/2)/sqrt(-b*x^2+a)-1/3*d*(3*b^2*c^4*(-2*A*d+B*c)-3*a*b*c^3*d*(-B*d+2*C*c)-2*a^2*d^3*(A*d^2-B*c*d+C*c^2))*sqrt(-b*x^2+a)/a^2/c^3/(-a*d^2+b*c^2)^2/(d*x+c)^(3/2)-1/3*d*(3*b^3*c^6*(-3*A*d+B*c)-3*a*b^2*c^4*d*(A*d^2-3*B*c*d+3*C*c^2)+6*a^3*d^5*(3*A*d^2-2*B*c*d+C*c^2)-a^2*b*c^2*d^3*(38*A*d^2-32*B*c*d+29*C*c^2))*sqrt(-b*x^2+a)/a^2/c^4/(-a*d^2+b*c^2)^3/sqrt(d*x+c)-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^3/x^2-1/4*(-11*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^4/x+1/12*sqrt(b)*(3*b^3*c^6*(-23*A*d+8*B*c)+3*a^3*d^5*(35*A*d^2-20*B*c*d+8*C*c^2)-a^2*b*c^2*d^3*(251*A*d^2-164*B*c*d+116*C*c^2)-a*b^2*(-87*A*c^4*d^3+36*C*c^6*d))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^4/(-a*d^2+b*c^2)^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/12*sqrt(b)*(3*b^2*c^4*(-17*A*d+8*B*c)-6*a*b*c^2*d*(-9*A*d^2+2*B*c*d+4*C*c^2)-a^2*d^3*(35*A*d^2-20*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^3/(-a*d^2+b*c^2)^2/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(35*A*a*d^2+12*A*b*c^2-20*B*a*c*d+8*C*a*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^2/c^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^5*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,13,1/3*a^2*sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/b^3/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)-1/6*a*sqrt(d*x+c)*(4*A*b*c*(-2*a*d^2+3*b*c^2)+a*(b*c^2*(-17*B*d+18*C*c)-a*d^2*(-13*B*d+14*C*c))+(15*a^2*C*d^3+b^2*c^2*(-13*A*d+14*B*c)-a*b*d*(-9*A*d^2+10*B*c*d+19*C*c^2))*x)/b^3/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)+2/15*(-5*B*d+7*C*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^3/d^2-2/5*C*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b^3/d^2-1/30*sqrt(a)*(231*a^3*C*d^6+a*b^2*c^2*d^2*(-185*A*d^2+150*B*c*d+92*C*c^2)-15*a^2*b*d^4*(-7*A*d^2+6*B*c*d+25*C*c^2)+4*b^3*c^4*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(7/2)/d^3/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/30*sqrt(a)*(3*a^2*d^4*(-25*B*d+51*C*c)-a*b*c*d^2*(-65*A*d^2-30*B*c*d+116*C*c^2)-4*b^2*c^3*(15*A*d^2-10*B*c*d+8*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(7/2)/d^3/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^4*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,12,1/3*a*sqrt(d*x+c)*(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^3/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)-1/6*sqrt(d*x+c)*(a*(13*a^2*C*d^3+b^2*c^2*(-11*A*d+12*B*c)-a*b*d*(-7*A*d^2+8*B*c*d+17*C*c^2))+b*(4*A*b*c*(-a*d^2+2*b*c^2)+a*(b*c^2*(-13*B*d+14*C*c)-a*d^2*(-9*B*d+10*C*c)))*x)/b^3/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)-2/3*C*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^3/d+1/6*sqrt(a)*(3*a^2*d^4*(-7*B*d+6*C*c)-a*b*c*d^2*(-4*A*d^2-37*B*c*d+30*C*c^2)+4*b^2*c^3*(-2*A*d^2-3*B*c*d+2*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^2/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/6*sqrt(a)*(15*a^2*C*d^4-a*b*d^2*(-5*A*d^2+13*B*c*d+6*C*c^2)-4*b^2*c^2*(A*d^2-3*B*c*d+2*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(7/2)/d^2/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^3*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,11,1/3*a*sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/b^2/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)-1/6*sqrt(d*x+c)*(2*A*b*c*(-a*d^2+3*b*c^2)+a*(b*c^2*(-11*B*d+12*C*c)-a*d^2*(-7*B*d+8*C*c))+(9*a^2*C*d^3+b^2*c^2*(-7*A*d+8*B*c)-a*b*d*(-3*A*d^2+4*B*c*d+13*C*c^2))*x)/b^2/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)-1/6*sqrt(a)*(21*a^2*C*d^4+b^2*c^2*(-7*A*d^2+8*B*c*d+12*C*c^2)-a*b*d^2*(-3*A*d^2+4*B*c*d+37*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/6*sqrt(a)*(a*d^2*(-5*B*d+13*C*c)-b*c*(-A*d^2-4*B*c*d+12*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,11,1/3*sqrt(d*x+c)*(a*(-A*b*d+B*b*c-C*a*d)+b*(A*b*c-B*a*d+C*a*c)*x)/b^2/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)-1/6*sqrt(d*x+c)*(a*(7*a^2*C*d^3+b^2*c^2*(-5*A*d+6*B*c)-a*b*d*(-A*d^2+2*B*c*d+11*C*c^2))+b*(2*A*b*c*(a*d^2+b*c^2)+a*(b*c^2*(-7*B*d+8*C*c)-a*d^2*(-3*B*d+4*C*c)))*x)/a/b^2/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)-1/6*(2*A*b*c*(a*d^2+b*c^2)+a*(b*c^2*(-7*B*d+8*C*c)-a*d^2*(-3*B*d+4*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/b^(3/2)/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/6*(A*b*(-a*d^2+2*b*c^2)+a*(5*a*C*d^2-b*c*(B*d+4*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/b^(5/2)/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,11,1/3*sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+b*(B*c-(A+a*C/b)*d)*x)/b/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)+1/6*sqrt(d*x+c)*(a*(a*d^2*(-B*d+2*C*c)-b*c*(4*A*d^2-5*B*c*d+6*C*c^2))-(3*a^2*C*d^3+b^2*c^2*(-A*d+2*B*c)-a*b*d*(3*A*d^2-2*B*c*d+7*C*c^2))*x)/a/b/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)-1/6*(3*a^2*C*d^3+b^2*c^2*(-A*d+2*B*c)-a*b*d*(3*A*d^2-2*B*c*d+7*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/b^(3/2)/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)+1/6*(b*c*(-A*d+2*B*c)-a*d*(B*d+C*c))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/b^(3/2)/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,11,1/3*sqrt(d*x+c)*(a*(B*c-(A+a*C/b)*d)+(A*b*c-B*a*d+C*a*c)*x)/a/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)-1/6*sqrt(d*x+c)*(a*d*(A*b*(-5*a*d^2+b*c^2)+a*(a*C*d^2-b*c*(-4*B*d+5*C*c)))-b*(4*A*b*c*(-2*a*d^2+b*c^2)-a*(a*d^2*(-3*B*d+2*C*c)+b*c^2*(-B*d+2*C*c)))*x)/a^2/b/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)+1/6*(4*A*b*c*(-2*a*d^2+b*c^2)-a*(a*d^2*(-3*B*d+2*C*c)+b*c^2*(-B*d+2*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/sqrt(b)/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/6*(A*b*(-5*a*d^2+4*b*c^2)+a*(a*C*d^2-b*c*(-B*d+2*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/b^(3/2)/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,16,1/3*sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/a/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)+1/6*sqrt(d*x+c)*(2*A*b*c*(-5*a*d^2+3*b*c^2)-a*d*(b*B*c^2+a*d*(-5*B*d+4*C*c))+(3*a^2*C*d^3+b^2*c^2*(-5*A*d+4*B*c)+a*b*d*(9*A*d^2-8*B*c*d+C*c^2))*x)/a^2/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)+1/6*(3*a^2*C*d^3+b^2*c^2*(-5*A*d+4*B*c)+a*b*d*(9*A*d^2-8*B*c*d+C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/sqrt(b)/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/6*(b*c*(A*d+4*B*c)+a*d*(-5*B*d+C*c))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/sqrt(b)/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^2/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,17,1/3*sqrt(d*x+c)*(b*B*c-A*b*d-a*C*d+b*(A*b*c/a+c*C-B*d)*x)/a/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)+1/6*sqrt(d*x+c)*(a*(5*a^2*C*d^3+b^2*c^2*(-7*A*d+6*B*c)-a*b*d*(-11*A*d^2+10*B*c*d+C*c^2))+b*(2*A*b*c*(-7*a*d^2+5*b*c^2)-a*(a*d^2*(-9*B*d+8*C*c)-b*c^2*(-5*B*d+4*C*c)))*x)/a^3/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^3/c/x+1/6*sqrt(b)*(2*A*(3*a^2*d^4-13*a*b*c^2*d^2+8*b^2*c^4)-a*c*(a*d^2*(-9*B*d+8*C*c)-b*c^2*(-5*B*d+4*C*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(5/2)/c/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/6*(A*b*(-17*a*d^2+16*b*c^2)-a*(5*a*C*d^2-b*c*(B*d+4*C*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(5/2)/sqrt(b)/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-(2*B-A*d/c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(C*x^2+B*x+A)/x^3/sqrt(d*x+c)/(-b*x^2+a)^(5/2),x,18,1/3*b*sqrt(d*x+c)*(A*b*c+a*c*C-a*B*d+(-A*b*d+B*b*c-C*a*d)*x)/a^2/(-a*d^2+b*c^2)/(-b*x^2+a)^(3/2)+1/6*b*sqrt(d*x+c)*(4*A*b*c*(-4*a*d^2+3*b*c^2)-a*(a*d^2*(-11*B*d+10*C*c)-b*c^2*(-7*B*d+6*C*c))+(9*a^2*C*d^3+b^2*c^2*(-11*A*d+10*B*c)-a*b*d*(-15*A*d^2+14*B*c*d+5*C*c^2))*x)/a^3/(-a*d^2+b*c^2)^2/sqrt(-b*x^2+a)-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^3/c/x^2-1/4*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^3/c^2/x+1/12*sqrt(b)*(b^2*c^4*(-31*A*d+32*B*c)-2*a*b*c^2*d*(-24*A*d^2+26*B*c*d+5*C*c^2)+3*a^2*d^3*(-3*A*d^2+4*B*c*d+6*C*c^2))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(5/2)/c^2/(-a*d^2+b*c^2)^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/12*sqrt(b)*(b*c^2*(-A*d+32*B*c)+a*d*(3*A*d^2-34*B*c*d+2*C*c^2))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(5/2)/c/(-a*d^2+b*c^2)/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(20*A*b/a+8*C-d*(-3*A*d+4*B*c)/c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x^2*(F*x^4+D*x^3+C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(-b*x^2+a),x,14,-2/3465*(675*a^2*d^4*F+b^2*(1155*A*d^4-1617*B*c*d^3+1881*C*c^2*d^2-2057*D*c^3*d+2185*F*c^4)+3*a*b*d^2*(275*C*d^2-c*(407*D*d-491*F*c)))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^3/d^5-2/3465*(a*d^2*(539*D*d-1282*F*c)-b*(-693*B*d^3+1584*C*c*d^2-2563*D*c^2*d+3590*F*c^3))*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b^2/d^5-2/693*(81*a*d^2*F+b*(99*C*d^2-c*(319*D*d-668*F*c)))*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/b^2/d^5-2/99*(11*D*d-46*F*c)*(d*x+c)^(7/2)*sqrt(-b*x^2+a)/b/d^5-2/11*F*(d*x+c)^(9/2)*sqrt(-b*x^2+a)/b/d^5-2/3465*sqrt(a)*(3*a^2*d^4*(539*D*d-382*F*c)-3*a*b*d^2*(-693*B*d^3+484*C*c*d^2-396*D*c^2*d+344*F*c^3)-2*b^2*c*(1155*A*d^4-924*B*c*d^3+792*C*c^2*d^2-704*D*c^3*d+640*F*c^4))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^6/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/3465*sqrt(a)*(675*a^3*d^6*F+2*b^3*c^2*(1155*A*d^4-924*B*c*d^3+792*C*c^2*d^2-704*D*c^3*d+640*F*c^4)+a*b^2*d^2*(1155*A*d^4-1617*B*c*d^3+1056*C*c^2*d^2-836*D*c^3*d+712*F*c^4)+3*a^2*b*d^4*(275*C*d^2-c*(407*D*d-266*F*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(7/2)/d^6/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[x*(F*x^4+D*x^3+C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(-b*x^2+a),x,13,-2/315*(3*a*d^2*(25*D*d-37*F*c)-b*(-105*B*d^3+147*C*c*d^2-171*D*c^2*d+187*F*c^3))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^4-2/315*(49*a*d^2*F+b*(63*C*d^2-c*(144*D*d-233*F*c)))*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b^2/d^4-2/63*(9*D*d-29*F*c)*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/b/d^4-2/9*F*(d*x+c)^(7/2)*sqrt(-b*x^2+a)/b/d^4-2/315*sqrt(a)*(147*a^2*d^4*F+b^2*(315*A*d^4-210*B*c*d^3+168*C*c^2*d^2-144*D*c^3*d+128*F*c^4)+3*a*b*d^2*(63*C*d^2-4*c*(11*D*d-9*F*c)))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^5/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/315*sqrt(a)*(3*a^2*d^4*(25*D*d-37*F*c)-a*b*d^2*(-105*B*d^3+147*C*c*d^2-96*D*c^2*d+76*F*c^3)-b^2*c*(315*A*d^4-210*B*c*d^3+168*C*c^2*d^2-144*D*c^3*d+128*F*c^4))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^5/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(F*x^4+D*x^3+C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(-b*x^2+a),x,12,-2/105*(25*a*d^2*F+b*(35*C*d^2-c*(49*D*d-57*F*c)))*sqrt(d*x+c)*sqrt(-b*x^2+a)/b^2/d^3-2/35*(7*D*d-16*F*c)*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b/d^3-2/7*F*(d*x+c)^(5/2)*sqrt(-b*x^2+a)/b/d^3-2/105*sqrt(a)*(a*d^2*(63*D*d-44*F*c)-b*(-105*B*d^3+70*C*c*d^2-56*D*c^2*d+48*F*c^3))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^4/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/105*sqrt(a)*(25*a^2*d^4*F+b^2*(105*A*d^4-105*B*c*d^3+70*C*c^2*d^2-56*D*c^3*d+48*F*c^4)+a*b*d^2*(35*C*d^2-c*(49*D*d-32*F*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(5/2)/d^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(F*x^4+D*x^3+C*x^2+B*x+A)/x/sqrt(d*x+c)/sqrt(-b*x^2+a),x,16,-2/15*(5*D*d-7*F*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d^2-2/5*F*(d*x+c)^(3/2)*sqrt(-b*x^2+a)/b/d^2-2/15*sqrt(a)*(15*C*b*d^2-10*D*b*c*d+9*F*a*d^2+8*F*b*c^2)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-2/15*sqrt(a)*(a*d^2*(5*D*d-7*F*c)-b*(-15*B*d^3+15*C*c*d^2-10*D*c^2*d+8*F*c^3))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/b^(3/2)/d^3/sqrt(d*x+c)/sqrt(-b*x^2+a)-2*A*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(F*x^4+D*x^3+C*x^2+B*x+A)/x^2/sqrt(d*x+c)/sqrt(-b*x^2+a),x,16,-2/3*F*sqrt(d*x+c)*sqrt(-b*x^2+a)/b/d-A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c/x+1/3*(3*A*b*d^2-2*a*c*(3*D*d-2*F*c))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/c/d^2/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/3*(2*a*d^2*(3*C*b+F*a)+b*(3*A*b*d^2-2*a*c*(3*D*d-2*F*c)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/b^(3/2)/d^2/sqrt(d*x+c)/sqrt(-b*x^2+a)-(-A*d+2*B*c)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/c/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(F*x^4+D*x^3+C*x^2+B*x+A)/x^3/sqrt(d*x+c)/sqrt(-b*x^2+a),x,16,-1/2*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c/x^2-1/4*(-3*A*d+4*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^2/x+1/4*(b*d*(-3*A*d+4*B*c)-8*a*c^2*F)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/c^2/d/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/4*(b*d*(-A*d+4*B*c)+8*a*c*(D*d-F*c))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/sqrt(a)/sqrt(b)/c/d/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/4*(3*A*a*d^2+4*A*b*c^2-4*B*a*c*d+8*C*a*c^2)*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(F*x^4+D*x^3+C*x^2+B*x+A)/x^4/sqrt(d*x+c)/sqrt(-b*x^2+a),x,17,-1/3*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c/x^3-1/12*(-5*A*d+6*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^2/x^2-1/24*(15*A*a*d^2+16*A*b*c^2-18*B*a*c*d+24*C*a*c^2)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^3/x+1/24*sqrt(b)*(15*A*a*d^2+16*A*b*c^2-18*B*a*c*d+24*C*a*c^2)*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^3/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/24*(A*b*(5*a*d^2+16*b*c^2)+6*a*c*(-B*b*d+4*C*b*c+8*F*a*c))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/sqrt(b)/c^2/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/8*(4*b*c^2*(-A*d+2*B*c)-a*(5*A*d^3-6*B*c*d^2+8*C*c^2*d-16*D*c^3))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(F*x^4+D*x^3+C*x^2+B*x+A)/x^5/sqrt(d*x+c)/sqrt(-b*x^2+a),x,18,-1/4*A*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c/x^4-1/24*(-7*A*d+8*B*c)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a/c^2/x^3-1/96*(35*A*a*d^2+36*A*b*c^2-40*B*a*c*d+48*C*a*c^2)*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^3/x^2-1/192*(4*b*c^2*(-25*A*d+32*B*c)-3*a*(35*A*d^3-40*B*c*d^2+48*C*c^2*d-64*D*c^3))*sqrt(d*x+c)*sqrt(-b*x^2+a)/a^2/c^4/x+1/192*sqrt(b)*(4*b*c^2*(-25*A*d+32*B*c)-3*a*(35*A*d^3-40*B*c*d^2+48*C*c^2*d-64*D*c^3))*sqrt(d*x+c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^4/sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))/sqrt(-b*x^2+a)-1/192*sqrt(b)*(4*b*c^2*(-7*A*d+32*B*c)-a*(35*A*d^3-40*B*c*d^2+48*C*c^2*d-192*D*c^3))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2)),sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^(3/2)/c^3/sqrt(d*x+c)/sqrt(-b*x^2+a)-1/64*(A*(35*a^2*d^4+24*a*b*c^2*d^2+48*b^2*c^4)+8*a*c*(4*b*c^2*(-B*d+2*C*c)+a*(-5*B*d^3+6*C*c*d^2-8*D*c^2*d+16*F*c^3)))*sqrt((d*x+c)/(c+sqrt(a)*d/sqrt(b)))*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(sqrt(1-sqrt(b)*x/sqrt(a))/sqrt(2))),2,sqrt(2*sqrt(a)*d/(sqrt(b)*c+sqrt(a)*d)))/a^2/c^4/sqrt(d*x+c)/sqrt(-b*x^2+a),1],
[(e*x)^(3/2)*(B*x+A)/(d*x+c)/sqrt(-b*x^2+a),x,10,-2/3*B*e*sqrt(e*x)*sqrt(-b*x^2+a)/b/d-2*a^(3/4)*(-A*d+B*c)*e^(3/2)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(-1))/b^(3/4)/d^2/sqrt(-b*x^2+a)+2/3*a^(1/4)*(a*B*d^2+3*b*c*(-A*d+B*c)+3*sqrt(a)*sqrt(b)*d*(-A*d+B*c))*e^(3/2)*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(-1))/b^(5/4)/d^3/sqrt(-b*x^2+a)-2*a^(1/4)*c*(-A*d+B*c)*e^(3/2)*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-sqrt(a)*d/sqrt(b)/c,sqrt(-1))/b^(1/4)/d^3/sqrt(-b*x^2+a),1],
[sqrt(e*x)*(B*x+A)/(d*x+c)/sqrt(-b*x^2+a),x,9,2*a^(3/4)*B*sqrt(e)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(-1))/b^(3/4)/d/sqrt(-b*x^2+a)+2*a^(1/4)*(A*d-B*(c+sqrt(a)*d/sqrt(b)))*sqrt(e)*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(-1))/b^(1/4)/d^2/sqrt(-b*x^2+a)+2*a^(1/4)*(-A*d+B*c)*sqrt(e)*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-sqrt(a)*d/sqrt(b)/c,sqrt(-1))/b^(1/4)/d^2/sqrt(-b*x^2+a),1],
[(B*x+A)/sqrt(e*x)/(d*x+c)/sqrt(-b*x^2+a),x,6,2*a^(1/4)*B*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(-1))/b^(1/4)/d/sqrt(e)/sqrt(-b*x^2+a)-2*a^(1/4)*(-A*d+B*c)*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-sqrt(a)*d/sqrt(b)/c,sqrt(-1))/b^(1/4)/c/d/sqrt(e)/sqrt(-b*x^2+a),1],
[(B*x+A)/(e*x)^(3/2)/(d*x+c)/sqrt(-b*x^2+a),x,11,-2*A*sqrt(-b*x^2+a)/a/c/e/sqrt(e*x)-2*A*b^(1/4)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(-1))/a^(1/4)/c/e^(3/2)/sqrt(-b*x^2+a)+2*A*b^(1/4)*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(-1))/a^(1/4)/c/e^(3/2)/sqrt(-b*x^2+a)+2*a^(1/4)*(-A*d+B*c)*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-sqrt(a)*d/sqrt(b)/c,sqrt(-1))/b^(1/4)/c^2/e^(3/2)/sqrt(-b*x^2+a),1],
[(B*x+A)/(e*x)^(5/2)/(d*x+c)/sqrt(-b*x^2+a),x,11,-2/3*A*sqrt(-b*x^2+a)/a/c/e/(e*x)^(3/2)-2*(-A*d+B*c)*sqrt(-b*x^2+a)/a/c^2/e^2/sqrt(e*x)-2*b^(1/4)*(-A*d+B*c)*sqrt((-b*x^2+a)/a)*EllipticE(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(-1))/a^(1/4)/c^2/e^(5/2)/sqrt(-b*x^2+a)+2/3*b^(1/4)*(A*sqrt(b)*c+3*sqrt(a)*B*c-3*sqrt(a)*A*d)*sqrt((-b*x^2+a)/a)*InverseJacobiAM(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(-1))/a^(3/4)/c^2/e^(5/2)/sqrt(-b*x^2+a)-2*a^(1/4)*d*(-A*d+B*c)*sqrt((-b*x^2+a)/a)*EllipticPi(sin(arcsin(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-sqrt(a)*d/sqrt(b)/c,sqrt(-1))/b^(1/4)/c^3/e^(5/2)/sqrt(-b*x^2+a),1],
[(e*x)^(3/2)*(B*x+A)/(d*x+c)/sqrt(b*x^2+a),x,9,2/3*B*e*sqrt(e*x)*sqrt(b*x^2+a)/b/d-2*(-A*d+B*c)*e*sqrt(e*x)*sqrt(b*x^2+a)/sqrt(b)/d^2/(sqrt(a)+sqrt(b)*x)-c^(3/2)*(-A*d+B*c)*e^(3/2)*arctan(sqrt(a*d^2+b*c^2)*sqrt(e*x)/sqrt(c)/sqrt(d)/sqrt(e)/sqrt(b*x^2+a))/d^(5/2)/sqrt(a*d^2+b*c^2)+2*a^(1/4)*(-A*d+B*c)*e^(3/2)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticE(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(1/2))/b^(3/4)/d^2/sqrt(b*x^2+a)+1/3*a^(1/4)*(a*B*d^2+sqrt(a)*sqrt(b)*d*(-3*A*d+2*B*c)-6*b*c*(-A*d+B*c))*e^(3/2)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*InverseJacobiAM(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(1/2))/b^(5/4)/d^2/(sqrt(b)*c-sqrt(a)*d)/sqrt(b*x^2+a)+1/2*c*(sqrt(b)*c+sqrt(a)*d)*(-A*d+B*c)*e^(3/2)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticPi(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-1/4*(sqrt(b)*c-sqrt(a)*d)^2/sqrt(a)/sqrt(b)/c/d,sqrt(1/2))/a^(1/4)/b^(1/4)/d^3/(sqrt(b)*c-sqrt(a)*d)/sqrt(b*x^2+a),1],
[sqrt(e*x)*(B*x+A)/(d*x+c)/sqrt(b*x^2+a),x,8,2*B*sqrt(e*x)*sqrt(b*x^2+a)/sqrt(b)/d/(sqrt(a)+sqrt(b)*x)+sqrt(c)*(-A*d+B*c)*sqrt(e)*arctan(sqrt(a*d^2+b*c^2)*sqrt(e*x)/sqrt(c)/sqrt(d)/sqrt(e)/sqrt(b*x^2+a))/d^(3/2)/sqrt(a*d^2+b*c^2)-2*a^(1/4)*B*sqrt(e)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticE(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(1/2))/b^(3/4)/d/sqrt(b*x^2+a)-a^(1/4)*(sqrt(a)*B*d-sqrt(b)*(-A*d+2*B*c))*sqrt(e)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*InverseJacobiAM(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(1/2))/b^(3/4)/d/(sqrt(b)*c-sqrt(a)*d)/sqrt(b*x^2+a)-1/2*(sqrt(b)*c+sqrt(a)*d)*(-A*d+B*c)*sqrt(e)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticPi(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-1/4*(sqrt(b)*c-sqrt(a)*d)^2/sqrt(a)/sqrt(b)/c/d,sqrt(1/2))/a^(1/4)/b^(1/4)/d^2/(sqrt(b)*c-sqrt(a)*d)/sqrt(b*x^2+a),1],
[(B*x+A)/sqrt(e*x)/(d*x+c)/sqrt(b*x^2+a),x,5,-(-A*d+B*c)*arctan(sqrt(a*d^2+b*c^2)*sqrt(e*x)/sqrt(c)/sqrt(d)/sqrt(e)/sqrt(b*x^2+a))/sqrt(c)/sqrt(d)/sqrt(a*d^2+b*c^2)/sqrt(e)+(A*sqrt(b)-sqrt(a)*B)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*InverseJacobiAM(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(1/2))/a^(1/4)/b^(1/4)/(sqrt(b)*c-sqrt(a)*d)/sqrt(e)/sqrt(b*x^2+a)+1/2*(sqrt(b)*c+sqrt(a)*d)*(-A*d+B*c)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticPi(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-1/4*(sqrt(b)*c-sqrt(a)*d)^2/sqrt(a)/sqrt(b)/c/d,sqrt(1/2))/a^(1/4)/b^(1/4)/c/d/(sqrt(b)*c-sqrt(a)*d)/sqrt(e)/sqrt(b*x^2+a),1],
[(B*x+A)/(e*x)^(3/2)/(d*x+c)/sqrt(b*x^2+a),x,9,-2*A*sqrt(b*x^2+a)/a/c/e/sqrt(e*x)+2*A*sqrt(b)*sqrt(e*x)*sqrt(b*x^2+a)/a/c/e^2/(sqrt(a)+sqrt(b)*x)+sqrt(d)*(-A*d+B*c)*arctan(sqrt(a*d^2+b*c^2)*sqrt(e*x)/sqrt(c)/sqrt(d)/sqrt(e)/sqrt(b*x^2+a))/c^(3/2)/sqrt(a*d^2+b*c^2)/e^(3/2)-2*A*b^(1/4)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticE(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(1/2))/a^(3/4)/c/e^(3/2)/sqrt(b*x^2+a)+b^(1/4)*(A*sqrt(b)*c+sqrt(a)*B*c-2*sqrt(a)*A*d)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*InverseJacobiAM(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(1/2))/a^(3/4)/c/(sqrt(b)*c-sqrt(a)*d)/e^(3/2)/sqrt(b*x^2+a)-1/2*(sqrt(b)*c+sqrt(a)*d)*(-A*d+B*c)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticPi(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-1/4*(sqrt(b)*c-sqrt(a)*d)^2/sqrt(a)/sqrt(b)/c/d,sqrt(1/2))/a^(1/4)/b^(1/4)/c^2/(sqrt(b)*c-sqrt(a)*d)/e^(3/2)/sqrt(b*x^2+a),1],
[(B*x+A)/(e*x)^(5/2)/(d*x+c)/sqrt(b*x^2+a),x,10,-2/3*A*sqrt(b*x^2+a)/a/c/e/(e*x)^(3/2)-2*(-A*d+B*c)*sqrt(b*x^2+a)/a/c^2/e^2/sqrt(e*x)+2*sqrt(b)*(-A*d+B*c)*sqrt(e*x)*sqrt(b*x^2+a)/a/c^2/e^3/(sqrt(a)+sqrt(b)*x)-d^(3/2)*(-A*d+B*c)*arctan(sqrt(a*d^2+b*c^2)*sqrt(e*x)/sqrt(c)/sqrt(d)/sqrt(e)/sqrt(b*x^2+a))/c^(5/2)/sqrt(a*d^2+b*c^2)/e^(5/2)-2*b^(1/4)*(-A*d+B*c)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticE(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),sqrt(1/2))/a^(3/4)/c^2/e^(5/2)/sqrt(b*x^2+a)+1/3*b^(1/4)*(3*sqrt(a)*sqrt(b)*B*c^2-6*a*B*c*d-A*(b*c^2+2*sqrt(a)*sqrt(b)*c*d-6*a*d^2))*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*InverseJacobiAM(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e)),sqrt(1/2))/a^(5/4)/c^2/(sqrt(b)*c-sqrt(a)*d)/e^(5/2)/sqrt(b*x^2+a)+1/2*d*(sqrt(b)*c+sqrt(a)*d)*(-A*d+B*c)*(sqrt(a)+sqrt(b)*x)*sqrt((b*x^2+a)/(sqrt(a)+sqrt(b)*x)^2)*EllipticPi(sin(2*arctan(b^(1/4)*sqrt(e*x)/a^(1/4)/sqrt(e))),-1/4*(sqrt(b)*c-sqrt(a)*d)^2/sqrt(a)/sqrt(b)/c/d,sqrt(1/2))/a^(1/4)/b^(1/4)/c^3/(sqrt(b)*c-sqrt(a)*d)/e^(5/2)/sqrt(b*x^2+a),1],
[(C*x^2+B*x+A)/sqrt(e*x)/sqrt(d*x+c)/sqrt(b*x^2+a),x,10,-sqrt(a)*c*C*(b+a/x^2)*(d+c/x)*(e*x)^(3/2)/b/d/sqrt(a*d^2+b*c^2)/e^2/(1+sqrt(a)*(d+c/x)/sqrt(a*d^2+b*c^2))/sqrt(d*x+c)/sqrt(b*x^2+a)+C*(b+a/x^2)*(d+c/x)*x*(e*x)^(3/2)/b/d/e^2/sqrt(d*x+c)/sqrt(b*x^2+a)-1/2*(-2*B*d+C*c)*sqrt(b+a/x^2)*sqrt(d+c/x)*(e*x)^(3/2)*arctanh(sqrt(b)*sqrt(d+c/x)/sqrt(d)/sqrt(b+a/x^2))/sqrt(b)/d^(3/2)/e^2/sqrt(d*x+c)/sqrt(b*x^2+a)+a^(1/4)*C*(a*d^2+b*c^2)^(3/4)*(1+sqrt(a)*(d+c/x)/sqrt(a*d^2+b*c^2))*sqrt((b+a/x^2)/(b+a*d^2/c^2)/(1+sqrt(a)*(d+c/x)/sqrt(a*d^2+b*c^2))^2)*sqrt(d+c/x)*(e*x)^(3/2)*EllipticE(sin(2*arctan(a^(1/4)*sqrt(d+c/x)/(a*d^2+b*c^2)^(1/4))),sqrt(1/2+1/2*sqrt(a)*d/sqrt(a*d^2+b*c^2)))/b/c/d/e^2/sqrt(d*x+c)/sqrt(b*x^2+a)-(sqrt(a)*b*c^2*(-B*d+C*c)+a^(3/2)*d^2*(-B*d+C*c)+d*(A*b*c+B*a*d-C*a*c)*sqrt(a*d^2+b*c^2))*(1+sqrt(a)*(d+c/x)/sqrt(a*d^2+b*c^2))*sqrt((b+a/x^2)/(b+a*d^2/c^2)/(1+sqrt(a)*(d+c/x)/sqrt(a*d^2+b*c^2))^2)*sqrt(d+c/x)*(e*x)^(3/2)*InverseJacobiAM(2*arctan(a^(1/4)*sqrt(d+c/x)/(a*d^2+b*c^2)^(1/4)),sqrt(1/2+1/2*sqrt(a)*d/sqrt(a*d^2+b*c^2)))/a^(1/4)/b/c^2/d/(a*d^2+b*c^2)^(1/4)/e^2/sqrt(d*x+c)/sqrt(b*x^2+a)-1/4*(-2*B*d+C*c)*(a*d^2+b*c^2)^(1/4)*(sqrt(a)*d-sqrt(a*d^2+b*c^2))^2*(1+sqrt(a)*(d+c/x)/sqrt(a*d^2+b*c^2))*sqrt((b+a/x^2)/(b+a*d^2/c^2)/(1+sqrt(a)*(d+c/x)/sqrt(a*d^2+b*c^2))^2)*sqrt(d+c/x)*(e*x)^(3/2)*EllipticPi(sin(2*arctan(a^(1/4)*sqrt(d+c/x)/(a*d^2+b*c^2)^(1/4))),1/4*(sqrt(a)*d+sqrt(a*d^2+b*c^2))^2/sqrt(a)/d/sqrt(a*d^2+b*c^2),sqrt(1/2+1/2*sqrt(a)*d/sqrt(a*d^2+b*c^2)))/a^(1/4)/b/c^2/d^2/e^2/sqrt(d*x+c)/sqrt(b*x^2+a),1],
[(g*x)^m*(c*(1+m)-d*(2+m+p)*x)*(-d^2*x^2+c^2)^p/((d*x+c)^p),x,1,(g*x)^(1+m)*(d*x+c)^(-1-p)*(-d^2*x^2+c^2)^(p+1)/g,1],
[(g*x)^m*(f*x+e)*sqrt(-d^2*x^2+c^2)/(d*x+c)^(5/2),x,9,(-c*f+d*e)*(g*x)^(1+m)*sqrt(-d^2*x^2+c^2)/c/d/g/(d*x+c)^(3/2)-1/2*(c*f*(5+4*m)-d*(4*e*m+e))*(g*x)^m*(-d*x+c)*sqrt(d*x+c)*AppellF1(1/2,-m,1,3/2,1-d*x/c,1/2*(-d*x+c)/c)/c/d^2/((d*x/c)^m)/sqrt(-d^2*x^2+c^2)+(c*f*(3+2*m)-d*(2*e*m+e))*(g*x)^m*(-d*x+c)*sqrt(d*x+c)*hypergeom([1/2, -m],[3/2],1-d*x/c)/c/d^2/((d*x/c)^m)/sqrt(-d^2*x^2+c^2),1]]: