lst:=[[x^2*(c*x^2+b*x+a)/sqrt(-d*x+1)/sqrt(d*x+1),x,8,-b*sqrt(-d^2*x^2+1)/d^4-1/8*(4*a*d^2+3*c)*x*sqrt(-d^2*x^2+1)/d^4-1/4*c*x^3*sqrt(-d^2*x^2+1)/d^2+1/3*b*(-d^2*x^2+1)^(3/2)/d^4+1/8*(4*a*d^2+3*c)*arcsin(d*x)/d^5,1],
[x*(c*x^2+b*x+a)/sqrt(-d*x+1)/sqrt(d*x+1),x,6,-1/3*(3*a*d^2+2*c)*sqrt(-d^2*x^2+1)/d^4-1/2*b*x*sqrt(-d^2*x^2+1)/d^2-1/3*c*x^2*sqrt(-d^2*x^2+1)/d^2+1/2*b*arcsin(d*x)/d^3,1],
[(c*x^2+b*x+a)/sqrt(-d*x+1)/sqrt(d*x+1),x,4,-b*sqrt(-d^2*x^2+1)/d^2-1/2*c*x*sqrt(-d^2*x^2+1)/d^2+1/2*(2*a*d^2+c)*arcsin(d*x)/d^3,1],
[(c*x^2+b*x+a)/x/sqrt(-d*x+1)/sqrt(d*x+1),x,6,-c*sqrt(-d^2*x^2+1)/d^2+b*arcsin(d*x)/d-a*arctanh(sqrt(-d^2*x^2+1)),1],
[(c*x^2+b*x+a)/x^2/sqrt(-d*x+1)/sqrt(d*x+1),x,6,-a*sqrt(-d^2*x^2+1)/x+c*arcsin(d*x)/d-b*arctanh(sqrt(-d^2*x^2+1)),1],
[(c*x^2+b*x+a)/x^3/sqrt(-d*x+1)/sqrt(d*x+1),x,5,-1/2*a*sqrt(-d^2*x^2+1)/x^2-b*sqrt(-d^2*x^2+1)/x-1/2*(a*d^2+2*c)*arctanh(sqrt(-d^2*x^2+1)),1],
[(c*x^2+b*x+a)/x^4/sqrt(-d*x+1)/sqrt(d*x+1),x,6,-1/3*a*sqrt(-d^2*x^2+1)/x^3-1/2*b*sqrt(-d^2*x^2+1)/x^2-1/3*(2*a*d^2+3*c)*sqrt(-d^2*x^2+1)/x-1/2*b*d^2*arctanh(sqrt(-d^2*x^2+1)),1],
[(c*x^2+b*x+a)/x^5/sqrt(-d*x+1)/sqrt(d*x+1),x,7,-1/4*a*sqrt(-d^2*x^2+1)/x^4-1/3*b*sqrt(-d^2*x^2+1)/x^3-1/8*(3*a*d^2+4*c)*sqrt(-d^2*x^2+1)/x^2-2/3*b*d^2*sqrt(-d^2*x^2+1)/x-1/8*d^2*(3*a*d^2+4*c)*arctanh(sqrt(-d^2*x^2+1)),1],
[x^2*(c*x^2+b*x+a)/sqrt(d*x-1)/sqrt(d*x+1),x,5,-1/24*(3*c-4*d*(3*a*d+4*b))*sqrt(d*x-1)*sqrt(d*x+1)/d^5+1/12*(4*b*d+9*c)*x^2*sqrt(d*x-1)*sqrt(d*x+1)/d^3-1/8*(-4*a*d^2+3*c)*(d*x-1)^(3/2)*sqrt(d*x+1)/d^5+1/4*c*(d*x-1)^(7/2)*sqrt(d*x+1)/d^5+1/8*(4*a*d^2+3*c)*arccosh(d*x)/d^5,1],
[x*(c*x^2+b*x+a)/sqrt(d*x-1)/sqrt(d*x+1),x,4,1/2*(2*c+d*(2*a*d+b))*sqrt(d*x-1)*sqrt(d*x+1)/d^4+1/6*(3*b*d+4*c)*(d*x-1)^(3/2)*sqrt(d*x+1)/d^4+1/3*c*(d*x-1)^(5/2)*sqrt(d*x+1)/d^4+1/2*b*arccosh(d*x)/d^3,1],
[(c*x^2+b*x+a)/sqrt(d*x-1)/sqrt(d*x+1),x,3,1/2*(2*b*d+c)*sqrt(d*x-1)*sqrt(d*x+1)/d^3+1/2*c*(d*x-1)^(3/2)*sqrt(d*x+1)/d^3+1/2*(2*a*d^2+c)*arccosh(d*x)/d^3,1],
[(c*x^2+b*x+a)/x/sqrt(d*x-1)/sqrt(d*x+1),x,5,c*sqrt(d*x-1)*sqrt(d*x+1)/d^2+b*arccosh(d*x)/d+a*arctan(sqrt(d*x-1)*sqrt(d*x+1)),1],
[(c*x^2+b*x+a)/x^2/sqrt(d*x-1)/sqrt(d*x+1),x,5,a*sqrt(d*x-1)*sqrt(d*x+1)/x+c*arccosh(d*x)/d+b*arctan(sqrt(d*x-1)*sqrt(d*x+1)),1],
[(c*x^2+b*x+a)/x^3/sqrt(d*x-1)/sqrt(d*x+1),x,5,1/2*a*sqrt(d*x-1)*sqrt(d*x+1)/x^2+b*sqrt(d*x-1)*sqrt(d*x+1)/x+1/2*(a*d^2+2*c)*arctan(sqrt(d*x-1)*sqrt(d*x+1)),1],
[(c*x^2+b*x+a)/x^4/sqrt(d*x-1)/sqrt(d*x+1),x,6,1/3*a*sqrt(d*x-1)*sqrt(d*x+1)/x^3+1/2*b*sqrt(d*x-1)*sqrt(d*x+1)/x^2+1/3*(2*a*d^2+3*c)*sqrt(d*x-1)*sqrt(d*x+1)/x+1/2*b*d^2*arctan(sqrt(d*x-1)*sqrt(d*x+1)),1],
[(c*x^2+b*x+a)/x^5/sqrt(d*x-1)/sqrt(d*x+1),x,7,1/4*a*sqrt(d*x-1)*sqrt(d*x+1)/x^4+1/3*b*sqrt(d*x-1)*sqrt(d*x+1)/x^3+1/8*(3*a*d^2+4*c)*sqrt(d*x-1)*sqrt(d*x+1)/x^2+2/3*b*d^2*sqrt(d*x-1)*sqrt(d*x+1)/x+1/8*d^2*(3*a*d^2+4*c)*arctan(sqrt(d*x-1)*sqrt(d*x+1)),1],
[x^5*(c*x^4+b*x^2+a)/sqrt(-e*x+d)/sqrt(e*x+d),x,4,-d^4*(a*e^4+b*d^2*e^2+c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/e^10+1/3*d^2*(2*a*e^4+3*b*d^2*e^2+4*c*d^4)*(-e*x+d)^(3/2)*(e*x+d)^(3/2)/e^10-1/5*(a*e^4+3*b*d^2*e^2+6*c*d^4)*(-e*x+d)^(5/2)*(e*x+d)^(5/2)/e^10+1/7*(b*e^2+4*c*d^2)*(-e*x+d)^(7/2)*(e*x+d)^(7/2)/e^10-1/9*c*(-e*x+d)^(9/2)*(e*x+d)^(9/2)/e^10,1],
[x^3*(c*x^4+b*x^2+a)/sqrt(-e*x+d)/sqrt(e*x+d),x,4,-d^2*(a*e^4+b*d^2*e^2+c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/e^8+1/3*(a*e^4+2*b*d^2*e^2+3*c*d^4)*(-e*x+d)^(3/2)*(e*x+d)^(3/2)/e^8-1/5*(b*e^2+3*c*d^2)*(-e*x+d)^(5/2)*(e*x+d)^(5/2)/e^8+1/7*c*(-e*x+d)^(7/2)*(e*x+d)^(7/2)/e^8,1],
[x*(c*x^4+b*x^2+a)/sqrt(-e*x+d)/sqrt(e*x+d),x,4,-(a*e^4+b*d^2*e^2+c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/e^6+1/3*(b*e^2+2*c*d^2)*(-e*x+d)^(3/2)*(e*x+d)^(3/2)/e^6-1/5*c*(-e*x+d)^(5/2)*(e*x+d)^(5/2)/e^6,1],
[(c*x^4+b*x^2+a)/x/sqrt(-e*x+d)/sqrt(e*x+d),x,5,-1/3*(3*b*e^2+2*c*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)/e^4-1/3*c*x^2*sqrt(-e*x+d)*sqrt(e*x+d)/e^2-a*arctanh(sqrt(-e*x+d)*sqrt(e*x+d)/d)/d,1],
[(c*x^4+b*x^2+a)/x^3/sqrt(-e*x+d)/sqrt(e*x+d),x,6,-c*sqrt(-e*x+d)*sqrt(e*x+d)/e^2-1/2*a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x^2-1/2*(a*e^2+2*b*d^2)*arctanh(sqrt(-e*x+d)*sqrt(e*x+d)/d)/d^3,1],
[(c*x^4+b*x^2+a)/x^5/sqrt(-e*x+d)/sqrt(e*x+d),x,6,-1/4*a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x^4-1/8*(3*a*e^2+4*b*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)/d^4/x^2-1/8*(3*a*e^4+4*b*d^2*e^2+8*c*d^4)*arctanh(sqrt(-e*x+d)*sqrt(e*x+d)/d)/d^5,1],
[(c*x^4+b*x^2+a)/x^7/sqrt(-e*x+d)/sqrt(e*x+d),x,7,-1/6*a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x^6-1/24*(5*a*e^2+6*b*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)/d^4/x^4-1/16*(5*a*e^4+6*b*d^2*e^2+8*c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/d^6/x^2-1/16*e^2*(5*a*e^4+6*b*d^2*e^2+8*c*d^4)*arctanh(sqrt(-e*x+d)*sqrt(e*x+d)/d)/d^7,1],
[x^2*(c*x^4+b*x^2+a)/sqrt(-e*x+d)/sqrt(e*x+d),x,6,-1/16*(8*a*e^4+6*b*d^2*e^2+5*c*d^4)*x*sqrt(-e*x+d)*sqrt(e*x+d)/e^6-1/24*(6*b*e^2+5*c*d^2)*x^3*sqrt(-e*x+d)*sqrt(e*x+d)/e^4+1/6*c*x^5*(e*x-d)*sqrt(e*x+d)/e^2/sqrt(-e*x+d)+1/16*d^2*(8*a*e^4+6*b*d^2*e^2+5*c*d^4)*sqrt(-e^2*x^2+d^2)*arctan(e*x/sqrt(-e^2*x^2+d^2))/e^7/sqrt(-e*x+d)/sqrt(e*x+d),1],
[(c*x^4+b*x^2+a)/sqrt(-e*x+d)/sqrt(e*x+d),x,4,-1/8*(4*b*e^2+3*c*d^2)*x*sqrt(-e*x+d)*sqrt(e*x+d)/e^4-1/4*c*x^3*sqrt(-e*x+d)*sqrt(e*x+d)/e^2+1/4*(8*a*e^4+4*b*d^2*e^2+3*c*d^4)*arctan(sqrt(e*x+d)/sqrt(-e*x+d))/e^5,1],
[(c*x^4+b*x^2+a)/x^2/sqrt(-e*x+d)/sqrt(e*x+d),x,5,-a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x-1/2*c*x*sqrt(-e*x+d)*sqrt(e*x+d)/e^2+(2*b*e^2+c*d^2)*arctan(sqrt(e*x+d)/sqrt(-e*x+d))/e^3,1],
[(c*x^4+b*x^2+a)/x^4/sqrt(-e*x+d)/sqrt(e*x+d),x,6,-1/3*a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x^3-1/3*(2*a*e^2+3*b*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)/d^4/x+2*c*arctan(sqrt(e*x+d)/sqrt(-e*x+d))/e,1],
[(c*x^4+b*x^2+a)/x^6/sqrt(-e*x+d)/sqrt(e*x+d),x,5,-1/5*a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x^5-1/15*(4*a*e^2+5*b*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)/d^4/x^3-1/15*(8*a*e^4+10*b*d^2*e^2+15*c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/d^6/x,1],
[(c*x^4+b*x^2+a)/x^8/sqrt(-e*x+d)/sqrt(e*x+d),x,6,-1/7*a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x^7-1/35*(6*a*e^2+7*b*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)/d^4/x^5-1/105*(24*a*e^4+28*b*d^2*e^2+35*c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/d^6/x^3-2/105*e^2*(24*a*e^4+28*b*d^2*e^2+35*c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/d^8/x,1],
[(c*x^4+b*x^2+a)/x^10/sqrt(-e*x+d)/sqrt(e*x+d),x,7,-1/9*a*sqrt(-e*x+d)*sqrt(e*x+d)/d^2/x^9-1/63*(8*a*e^2+9*b*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)/d^4/x^7-1/105*(16*a*e^4+18*b*d^2*e^2+21*c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/d^6/x^5-4/315*e^2*(16*a*e^4+18*b*d^2*e^2+21*c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/d^8/x^3-8/315*e^4*(16*a*e^4+18*b*d^2*e^2+21*c*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)/d^10/x,1],
[sqrt(-d*x+1)*sqrt(d*x+1)*(f*x+e)^3*(C*x^2+B*x+A),x,7,1/16*(8*A*d^4*e^3+6*A*d^2*e*f^2+6*B*d^2*e^2*f+2*C*d^2*e^3+B*f^3+3*C*e*f^2)*x*sqrt(-d^2*x^2+1)/d^4-1/70*(7*B*e-3*C*e^2/f+14*A*f+8*C*f/d^2)*(f*x+e)^2*(-d^2*x^2+1)^(3/2)/d^2-1/42*(7*B-3*C*e/f)*(f*x+e)^3*(-d^2*x^2+1)^(3/2)/d^2-1/7*C*(f*x+e)^4*(-d^2*x^2+1)^(3/2)/d^2/f+1/840*(8*C*(3*d^4*e^4-30*d^2*e^2*f^2-8*f^4)-56*d^2*f*(2*A*f*(6*d^2*e^2+f^2)+B*(d^2*e^3+6*e*f^2))+3*d^2*f*(-98*A*d^2*e*f^2-14*B*d^2*e^2*f+6*C*d^2*e^3-35*B*f^3-41*C*e*f^2)*x)*(-d^2*x^2+1)^(3/2)/d^6/f+1/16*(8*A*d^4*e^3+6*A*d^2*e*f^2+6*B*d^2*e^2*f+2*C*d^2*e^3+B*f^3+3*C*e*f^2)*arcsin(d*x)/d^5,1],
[sqrt(-d*x+1)*sqrt(d*x+1)*(f*x+e)^2*(C*x^2+B*x+A),x,6,1/16*(2*C*e^2+8*A*d^2*e^2+4*B*e*f+2*A*f^2+C*f^2/d^2)*x*sqrt(-d^2*x^2+1)/d^2-1/10*(2*B-C*e/f)*(f*x+e)^2*(-d^2*x^2+1)^(3/2)/d^2-1/6*C*(f*x+e)^3*(-d^2*x^2+1)^(3/2)/d^2/f+1/120*(8*C*(d^2*e^3-4*e*f^2)-16*f*(5*A*d^2*e*f+B*(d^2*e^2+f^2))-3*f^2*(2*d^2*e*(2*B-C*e/f)+5*(2*A*d^2+C)*f)*x)*(-d^2*x^2+1)^(3/2)/d^4/f+1/16*(C*(2*d^2*e^2+f^2)+2*d^2*(2*B*e*f+A*(4*d^2*e^2+f^2)))*arcsin(d*x)/d^5,1],
[sqrt(-d*x+1)*sqrt(d*x+1)*(f*x+e)*(C*x^2+B*x+A),x,5,1/8*(4*A*d^2*e+B*f+C*e)*x*sqrt(-d^2*x^2+1)/d^2-1/5*C*(f*x+e)^2*(-d^2*x^2+1)^(3/2)/d^2/f-1/60*(4*(5*A*d^2+2*C)*f-4*d^2*e*(-5*B*f+3*C*e)/f-3*d^2*(-5*B*f+3*C*e)*x)*(-d^2*x^2+1)^(3/2)/d^4+1/8*(4*A*d^2*e+B*f+C*e)*arcsin(d*x)/d^3,1],
[sqrt(-d*x+1)*sqrt(d*x+1)*(C*x^2+B*x+A),x,5,1/8*(4*A*d^2+C)*x*sqrt(-d^2*x^2+1)/d^2-1/3*B*(-d^2*x^2+1)^(3/2)/d^2-1/4*C*x*(-d^2*x^2+1)^(3/2)/d^2+1/8*(4*A*d^2+C)*arcsin(d*x)/d^3,1],
[sqrt(-d*x+1)*sqrt(d*x+1)*(C*x^2+B*x+A)/(f*x+e),x,7,1/2*(2*A*f^2-2*B*e*f+2*C*e^2-f*(-B*f+C*e)*x)*sqrt(-d^2*x^2+1)/f^3-1/3*C*(-d^2*x^2+1)^(3/2)/d^2/f+1/2*(2*A*d^2*e+(-B*f+C*e)*(2*d^2*e^2-f^2)/f^2)*arcsin(d*x)/d/f^2-sqrt(d^2*e^2-f^2)*(A*f^2-B*e*f+C*e^2)*arctan((d^2*e*x+f)/sqrt(d^2*e^2-f^2)/sqrt(-d^2*x^2+1))/f^4,1],
[sqrt(-d*x+1)*sqrt(d*x+1)*(C*x^2+B*x+A)/(f*x+e)^2,x,7,1/2*(4*B*d^2*e^2-6*C*d^2*e^3/f+4*C*e*f-2*A*d^2*e*f-2*B*f^2-(2*d^2*f*(-A*f+B*e)-C*(3*d^2*e^2-f^2))*x)*sqrt(-d^2*x^2+1)/f^2/(d^2*e^2-f^2)+(A*f^2-B*e*f+C*e^2)*(-d^2*x^2+1)^(3/2)/f/(d^2*e^2-f^2)/(f*x+e)+1/2*(2*d^2*f*(-A*f+2*B*e)-C*(6*d^2*e^2-f^2))*arcsin(d*x)/d/f^4+(A*d^2*e*f^2-2*B*d^2*e^2*f+3*C*d^2*e^3+B*f^3-2*C*e*f^2)*arctan((d^2*e*x+f)/sqrt(d^2*e^2-f^2)/sqrt(-d^2*x^2+1))/f^4/sqrt(d^2*e^2-f^2),1],
[sqrt(-d*x+1)*sqrt(d*x+1)*(C*x^2+B*x+A)/(f*x+e)^3,x,7,1/2*(2*(d*e-f)*(d*e+f)*(-B*f+3*C*e)-f*(d^2*f*(-A*f+B*e)-C*(3*d^2*e^2-2*f^2))*x)*sqrt(-d^2*x^2+1)/f^3/(d^2*e^2-f^2)/(f*x+e)+1/2*(A*f^2-B*e*f+C*e^2)*(-d^2*x^2+1)^(3/2)/f/(d^2*e^2-f^2)/(f*x+e)^2+d*(-B*f+3*C*e)*arcsin(d*x)/f^4+1/2*(d^2*f*(2*B*d^2*e^3+A*f^3-3*B*e*f^2)-C*(6*d^4*e^4-9*d^2*e^2*f^2+2*f^4))*arctan((d^2*e*x+f)/sqrt(d^2*e^2-f^2)/sqrt(-d^2*x^2+1))/f^4/(d^2*e^2-f^2)^(3/2),1],
[(f*x+e)^3*(C*x^2+B*x+A)/sqrt(-d*x+1)/sqrt(d*x+1),x,6,-1/60*(15*B*e-3*C*e^2/f+20*A*f+16*C*f/d^2)*(f*x+e)^2*sqrt(-d^2*x^2+1)/d^2-1/20*(5*B-C*e/f)*(f*x+e)^3*sqrt(-d^2*x^2+1)/d^2-1/5*C*(f*x+e)^4*sqrt(-d^2*x^2+1)/d^2/f+1/120*(4*C*(3*d^4*e^4-52*d^2*e^2*f^2-16*f^4)-20*d^2*f*(4*A*f*(4*d^2*e^2+f^2)+3*B*(d^2*e^3+4*e*f^2))+d^2*f*(-100*A*d^2*e*f^2-30*B*d^2*e^2*f+6*C*d^2*e^3-45*B*f^3-71*C*e*f^2)*x)*sqrt(-d^2*x^2+1)/d^6/f+1/8*(8*A*d^4*e^3+12*A*d^2*e*f^2+12*B*d^2*e^2*f+4*C*d^2*e^3+3*B*f^3+9*C*e*f^2)*arcsin(d*x)/d^5,1],
[(f*x+e)^2*(C*x^2+B*x+A)/sqrt(-d*x+1)/sqrt(d*x+1),x,5,-1/12*(4*B-C*e/f)*(f*x+e)^2*sqrt(-d^2*x^2+1)/d^2-1/4*C*(f*x+e)^3*sqrt(-d^2*x^2+1)/d^2/f+1/24*(4*C*(d^2*e^3-8*e*f^2)-16*f*(3*A*d^2*e*f+B*(d^2*e^2+f^2))-f*(3*(4*A*d^2+3*C)*f^2-2*d^2*e*(-4*B*f+C*e))*x)*sqrt(-d^2*x^2+1)/d^4/f+1/8*(C*(4*d^2*e^2+3*f^2)+4*d^2*(2*B*e*f+A*(2*d^2*e^2+f^2)))*arcsin(d*x)/d^5,1],
[(f*x+e)*(C*x^2+B*x+A)/sqrt(-d*x+1)/sqrt(d*x+1),x,4,-1/3*C*(f*x+e)^2*sqrt(-d^2*x^2+1)/d^2/f-1/6*(6*B*d^2*e-2*C*d^2*e^2/f+4*C*f+6*A*d^2*f-d^2*(-3*B*f+C*e)*x)*sqrt(-d^2*x^2+1)/d^4+1/2*(2*A*d^2*e+B*f+C*e)*arcsin(d*x)/d^3,1],
[(C*x^2+B*x+A)/sqrt(-d*x+1)/sqrt(d*x+1),x,4,-B*sqrt(-d^2*x^2+1)/d^2-1/2*C*x*sqrt(-d^2*x^2+1)/d^2+1/2*(2*A*d^2+C)*arcsin(d*x)/d^3,1],
[(C*x^2+B*x+A)/sqrt(-d*x+1)/sqrt(d*x+1)/(f*x+e),x,6,-C*sqrt(-d^2*x^2+1)/d^2/f-(-B*f+C*e)*arcsin(d*x)/d/f^2+(A*f^2-B*e*f+C*e^2)*arctan((d^2*e*x+f)/sqrt(d^2*e^2-f^2)/sqrt(-d^2*x^2+1))/f^2/sqrt(d^2*e^2-f^2),1],
[(C*x^2+B*x+A)/sqrt(-d*x+1)/sqrt(d*x+1)/(f*x+e)^2,x,6,(A*f^2-B*e*f+C*e^2)*sqrt(-d^2*x^2+1)/f/(d^2*e^2-f^2)/(f*x+e)+C*arcsin(d*x)/d/f^2-(-A*d^2*e*f^2+C*d^2*e^3+B*f^3-2*C*e*f^2)*arctan((d^2*e*x+f)/sqrt(d^2*e^2-f^2)/sqrt(-d^2*x^2+1))/f^2/(d^2*e^2-f^2)^(3/2),1],
[(C*x^2+B*x+A)/sqrt(-d*x+1)/sqrt(d*x+1)/(f*x+e)^3,x,5,1/2*(A*f^2-B*e*f+C*e^2)*sqrt(-d^2*x^2+1)/f/(d^2*e^2-f^2)/(f*x+e)^2-1/2*(-3*A*d^2*e*f^2+B*d^2*e^2*f+C*d^2*e^3+2*B*f^3-4*C*e*f^2)*sqrt(-d^2*x^2+1)/f/(d^2*e^2-f^2)^2/(f*x+e)+1/2*(C*(d^2*e^2+2*f^2)-d^2*(3*B*e*f-A*(2*d^2*e^2+f^2)))*arctan((d^2*e*x+f)/sqrt(d^2*e^2-f^2)/sqrt(-d^2*x^2+1))/(d^2*e^2-f^2)^(5/2),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(f*x+e)^3*(C*x^2+B*x+A),x,8,1/16*(a^4*f^2*(B*f+3*C*e)+2*a^2*b^2*e^2*(3*B*f+C*e)+A*(6*a^2*b^2*e*f^2+8*b^4*e^3))*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4-1/840*(424*a^4*C*f^3+280*b^4*e^2*(3*A*f+B*e)-105*a^3*b*f^2*(B*f+3*C*e)-210*a*b^3*e*(C*e^2+3*f*(A*f+B*e))+112*a^2*b^2*f*(3*C*e^2+f*(A*f+3*B*e)))*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^6/c+1/35*f*(26*a^2*C*f^2-7*b^2*(3*C*e^2+f*(A*f+3*B*e)))*x^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^4/c-1/42*f^2*(7*B*b*f-24*C*a*f+21*C*b*e)*x^3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^3/c+1/56*(32*a^3*C*f^3-7*a^2*b*f^2*(B*f+3*C*e)-14*b^3*(C*e^3+3*e*f*(A*f+B*e)))*(b*x+a)^(5/2)*(-b*c*x+a*c)^(3/2)/b^6/c-1/7*C*f^3*(b*x+a)^(11/2)*(-b*c*x+a*c)^(3/2)/b^6/c+1/8*a^2*sqrt(c)*(a^4*f^2*(B*f+3*C*e)+2*a^2*b^2*e^2*(3*B*f+C*e)+A*(6*a^2*b^2*e*f^2+8*b^4*e^3))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(f*x+e)^2*(C*x^2+B*x+A),x,7,1/16*(a^4*C*f^2+2*a^2*b^2*e*(2*B*f+C*e)+2*A*(a^2*b^2*f^2+4*b^4*e^2))*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4-1/120*(25*a^3*C*f^2+40*b^3*e*(2*A*f+B*e)+16*a^2*b*f*(B*f+2*C*e)-30*a*b^2*(C*e^2+f*(A*f+2*B*e)))*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^5/c-1/10*f*(2*B*b*f-5*C*a*f+4*C*b*e)*x^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^3/c+1/8*(3*a^2*C*f^2-2*b^2*(C*e^2+f*(A*f+2*B*e)))*(b*x+a)^(5/2)*(-b*c*x+a*c)^(3/2)/b^5/c-1/6*C*f^2*(b*x+a)^(9/2)*(-b*c*x+a*c)^(3/2)/b^5/c+1/8*a^2*sqrt(c)*(a^4*C*f^2+2*a^2*b^2*e*(2*B*f+C*e)+2*A*(a^2*b^2*f^2+4*b^4*e^2))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(f*x+e)*(C*x^2+B*x+A),x,6,1/8*(4*A*e+a^2*(B*f+C*e)/b^2)*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)-1/12*(4*a^2*C*f+4*b^2*(A*f+B*e)-3*a*b*(B*f+C*e))*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^4/c+1/20*(8*a*C*f-5*b*(B*f+C*e))*(b*x+a)^(5/2)*(-b*c*x+a*c)^(3/2)/b^4/c-1/5*C*f*(b*x+a)^(7/2)*(-b*c*x+a*c)^(3/2)/b^4/c+1/4*a^2*sqrt(c)*(4*A*b^2*e+a^2*(B*f+C*e))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(C*x^2+B*x+A),x,5,1/8*(4*A+a^2*C/b^2)*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)-1/12*(4*B*b-3*C*a)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^3/c-1/4*C*(b*x+a)^(5/2)*(-b*c*x+a*c)^(3/2)/b^3/c+1/4*a^2*sqrt(c)*(4*A*b^2+C*a^2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(C*x^2+B*x+A)/(f*x+e),x,8,1/2*(2*A*b*f^2+(a*f+2*b*e)*(-B*f+C*e))*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b/f^3-1/2*(-B*f+C*e)*(b*x+a)^(3/2)*sqrt(-b*c*x+a*c)/b/f^2-1/3*C*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^2/c/f-sqrt(c)*(a^2*f^2*(-B*f+C*e)-2*b^2*(C*e^3-e*f*(-A*f+B*e)))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b/f^4-2*sqrt(c)*sqrt(-a*f+b*e)*sqrt(a*f+b*e)*(A*f^2-B*e*f+C*e^2)*arctan(sqrt(c)*sqrt(a*f+b*e)*sqrt(b*x+a)/sqrt(-a*f+b*e)/sqrt(-b*c*x+a*c))/f^4,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(C*x^2+B*x+A)/(f*x+e)^2,x,8,1/2*(a^2*C*f^2+a*b*f*(-2*B*f+3*C*e)-2*b^2*(3*C*e^2-f*(-A*f+2*B*e)))*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b/f^3/(-a*f+b*e)-1/2*(a^2*C*f^2-b^2*(3*C*e^2-2*f*(-A*f+B*e)))*(b*x+a)^(3/2)*sqrt(-b*c*x+a*c)/b/f^2/(-a*f+b*e)/(a*f+b*e)+(A*f^2-B*e*f+C*e^2)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/c/f/(-a*f+b*e)/(a*f+b*e)/(f*x+e)+sqrt(c)*(a^2*C*f^2-2*b^2*(3*C*e^2-f*(-A*f+2*B*e)))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b/f^4-2*sqrt(c)*(a^2*f^2*(-B*f+2*C*e)-b^2*(3*C*e^3-e*f*(-A*f+2*B*e)))*arctan(sqrt(c)*sqrt(a*f+b*e)*sqrt(b*x+a)/sqrt(-a*f+b*e)/sqrt(-b*c*x+a*c))/f^4/sqrt(-a*f+b*e)/sqrt(a*f+b*e),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(C*x^2+B*x+A)/(f*x+e)^3,x,8,1/2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(2*(-a*f+b*e)*(a*f+b*e)*(-B*f+3*C*e)-f^2*(2*a^2*C*f+b^2*(B*e-3*C*e^2/f-A*f))*x)/f^3/(-a^2*f^2+b^2*e^2)/(f*x+e)+1/2*(A*f^2-B*e*f+C*e^2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)*(-b^2*x^2+a^2)/f/(-a^2*f^2+b^2*e^2)/(f*x+e)^2+2*b*sqrt(c)*(-B*f+3*C*e)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/f^4-sqrt(c)*(2*a^4*C*f^4+2*b^4*e^3*(-B*f+3*C*e)-a^2*b^2*f^2*(9*C*e^2-f*(-A*f+3*B*e)))*arctan(sqrt(c)*sqrt(a*f+b*e)*sqrt(b*x+a)/sqrt(-a*f+b*e)/sqrt(-b*c*x+a*c))/f^4/(-a*f+b*e)^(3/2)/(a*f+b*e)^(3/2),1],
[(f*x+e)^3*(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,7,-1/120*(136*a^4*C*f^3+120*b^4*e^2*(3*A*f+B*e)-45*a^3*b*f^2*(B*f+3*C*e)-60*a*b^3*e*(C*e^2+3*f*(A*f+B*e))+80*a^2*b^2*f*(3*C*e^2+f*(A*f+3*B*e)))*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c+1/15*f*(14*a^2*C*f^2-5*b^2*(3*C*e^2+f*(A*f+3*B*e)))*x^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c-1/20*f^2*(5*B*b*f-16*C*a*f+15*C*b*e)*x^3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^3/c+1/40*(32*a^3*C*f^3-15*a^2*b*f^2*(B*f+3*C*e)-20*b^3*(C*e^3+3*e*f*(A*f+B*e)))*(b*x+a)^(3/2)*sqrt(-b*c*x+a*c)/b^6/c-1/5*C*f^3*(b*x+a)^(9/2)*sqrt(-b*c*x+a*c)/b^6/c+1/4*(3*a^4*f^2*(B*f+3*C*e)+4*a^2*b^2*e^2*(3*B*f+C*e)+4*A*(3*a^2*b^2*e*f^2+2*b^4*e^3))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5/sqrt(c),1],
[(f*x+e)^2*(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,6,-1/24*(3*a^3*C*f^2+24*b^3*e*(2*A*f+B*e)+16*a^2*b*f*(B*f+2*C*e)-12*a*b^2*(C*e^2+f*(A*f+2*B*e)))*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^5/c-1/12*f*(4*B*b*f-9*C*a*f+8*C*b*e)*x^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^3/c+1/8*(3*a^2*C*f^2-4*b^2*(C*e^2+f*(A*f+2*B*e)))*(b*x+a)^(3/2)*sqrt(-b*c*x+a*c)/b^5/c-1/4*C*f^2*(b*x+a)^(7/2)*sqrt(-b*c*x+a*c)/b^5/c+1/4*(3*a^4*C*f^2+4*a^2*b^2*e*(2*B*f+C*e)+4*A*(a^2*b^2*f^2+2*b^4*e^2))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5/sqrt(c),1],
[(f*x+e)*(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,5,-1/2*(2*a^2*C*f+2*b^2*(A*f+B*e)-a*b*(B*f+C*e))*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c+1/6*(4*a*C*f-3*b*(B*f+C*e))*(b*x+a)^(3/2)*sqrt(-b*c*x+a*c)/b^4/c-1/3*C*f*(b*x+a)^(5/2)*sqrt(-b*c*x+a*c)/b^4/c+(2*A*b^2*e+a^2*(B*f+C*e))*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3/sqrt(c),1],
[(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,4,-1/2*(2*B*b-C*a)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^3/c-1/2*C*(b*x+a)^(3/2)*sqrt(-b*c*x+a*c)/b^3/c+(2*A*b^2+C*a^2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3/sqrt(c),1],
[(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)/(f*x+e),x,6,-C*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c/f-2*(-B*f+C*e)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b/sqrt(c)/f^2+2*(A*f^2-B*e*f+C*e^2)*arctan(sqrt(c)*sqrt(a*f+b*e)*sqrt(b*x+a)/sqrt(-a*f+b*e)/sqrt(-b*c*x+a*c))/sqrt(c)/f^2/sqrt(-a*f+b*e)/sqrt(a*f+b*e),1],
[(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)/(f*x+e)^2,x,6,(A*f^2-B*e*f+C*e^2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/c/f/(-a*f+b*e)/(a*f+b*e)/(f*x+e)+2*C*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b/sqrt(c)/f^2+2*(a^2*f^2*(-B*f+2*C*e)-b^2*(-A*e*f^2+C*e^3))*arctan(sqrt(c)*sqrt(a*f+b*e)*sqrt(b*x+a)/sqrt(-a*f+b*e)/sqrt(-b*c*x+a*c))/sqrt(c)/f^2/(-a*f+b*e)^(3/2)/(a*f+b*e)^(3/2),1],
[(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)/(f*x+e)^3,x,5,1/2*(A*f^2-B*e*f+C*e^2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/c/f/(-a*f+b*e)/(a*f+b*e)/(f*x+e)^2+1/2*(2*a^2*f^2*(-B*f+2*C*e)-b^2*(C*e^3+e*f*(-3*A*f+B*e)))*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/c/f/(-a*f+b*e)^2/(a*f+b*e)^2/(f*x+e)+(2*a^4*C*f^2+a^2*b^2*e*(-3*B*f+C*e)+A*(a^2*b^2*f^2+2*b^4*e^2))*arctan(sqrt(c)*sqrt(a*f+b*e)*sqrt(b*x+a)/sqrt(-a*f+b*e)/sqrt(-b*c*x+a*c))/sqrt(c)/(-a*f+b*e)^(5/2)/(a*f+b*e)^(5/2),1],
[(c*x^2+b*x+a)/sqrt(-1+x)/sqrt(1+x)/(e*x+d)^3,x,5,-1/2*(c*d^2-e*(-a*e+b*d))*sqrt(-1+x)*sqrt(1+x)/e/(d^2-e^2)/(e*x+d)^2+1/2*(c*(d^3-4*d*e^2)-e*(3*a*d*e-b*(d^2+2*e^2)))*sqrt(-1+x)*sqrt(1+x)/e/(d^2-e^2)^2/(e*x+d)-(3*b*d*e-a*(2*d^2+e^2)-c*(d^2+2*e^2))*arctanh(sqrt(d+e)*sqrt(1+x)/sqrt(d-e)/sqrt(-1+x))/(d-e)^(5/2)/(d+e)^(5/2),1],
[(x^2+3*x+4)/(-3+x)/(-2+x)/(-1+x),x,2,4*ln(1-x)-14*ln(2-x)+11*ln(3-x),1],
[(C*x^2+B*x+A)/(b*x+a)/(d*x+c)/(f*x+e),x,2,(A*b^2-a*(B*b-C*a))*ln(b*x+a)/b/(-a*d+b*c)/(-a*f+b*e)-(A*d^2-B*c*d+C*c^2)*ln(d*x+c)/d/(-a*d+b*c)/(-c*f+d*e)+(A*f^2-B*e*f+C*e^2)*ln(f*x+e)/f/(-a*f+b*e)/(-c*f+d*e),1],
[(d*x+c)*(f*x+e)*(C*x^2+B*x+A)/sqrt(b*x+a),x,2,2*(A*b^2-a*(B*b-C*a))*(-a*d+b*c)*(-a*f+b*e)*sqrt(b*x+a)/b^5-2/3*(4*a^3*C*d*f-b^3*(A*c*f+A*d*e+B*c*e)+2*a*b^2*(A*d*f+B*c*f+B*d*e+C*c*e)-3*a^2*b*(B*d*f+C*c*f+C*d*e))*(b*x+a)^(3/2)/b^5+2/5*(6*a^2*C*d*f+b^2*(A*d*f+B*c*f+B*d*e+C*c*e)-3*a*b*(B*d*f+C*c*f+C*d*e))*(b*x+a)^(5/2)/b^5-2/7*(4*a*C*d*f-b*(B*d*f+C*c*f+C*d*e))*(b*x+a)^(7/2)/b^5+2/9*C*d*f*(b*x+a)^(9/2)/b^5,1],
[(b*x+a)^2*sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A),x,8,1/512*(-c*f+d*e)*(8*a^2*d^2*f^2*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))-8*a*b*d*f*(C*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3)+2*d*f*(8*A*d*f*(c*f+d*e)-B*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)))+b^2*(C*(21*c^4*f^4+28*c^3*d*e*f^3+30*c^2*d^2*e^2*f^2+28*c*d^3*e^3*f+21*d^4*e^4)+4*d*f*(2*A*d*f*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)-B*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3))))*sqrt(d*x+c)*sqrt(f*x+e)/d^5/f^5+1/256*(8*a^2*d^2*f^2*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))-8*a*b*d*f*(C*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3)+2*d*f*(8*A*d*f*(c*f+d*e)-B*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)))+b^2*(C*(21*c^4*f^4+28*c^3*d*e*f^3+30*c^2*d^2*e^2*f^2+28*c*d^3*e^3*f+21*d^4*e^4)+4*d*f*(2*A*d*f*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)-B*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3))))*(d*x+c)^(3/2)*sqrt(f*x+e)/d^5/f^4-1/192*(8*a^2*d^2*f^2*(-8*B*d*f+11*C*c*f+5*C*d*e)+8*a*b*d*f*(2*d*f*(-8*A*d*f+11*B*c*f+5*B*d*e)-C*(25*c^2*f^2+16*c*d*e*f+7*d^2*e^2))+b^2*(C*(107*c^3*f^3+79*c^2*d*e*f^2+49*c*d^2*e^2*f+21*d^3*e^3)+4*d*f*(2*A*d*f*(11*c*f+5*d*e)-B*(25*c^2*f^2+16*c*d*e*f+7*d^2*e^2))))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/d^4/f^4+1/160*(40*a^2*C*d^2*f^2-8*a*b*d*f*(-10*B*d*f+23*C*c*f+7*C*d*e)-b^2*(4*d*f*(-10*A*d*f+23*B*c*f+7*B*d*e)-C*(149*c^2*f^2+70*c*d*e*f+21*d^2*e^2)))*(d*x+c)^(5/2)*(f*x+e)^(3/2)/d^4/f^3+1/20*b*(8*a*C*d*f-b*(-4*B*d*f+13*C*c*f+3*C*d*e))*(d*x+c)^(7/2)*(f*x+e)^(3/2)/d^4/f^2+1/6*b^2*C*(d*x+c)^(9/2)*(f*x+e)^(3/2)/d^4/f-1/512*(-c*f+d*e)^2*(8*a^2*d^2*f^2*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))-8*a*b*d*f*(C*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3)+2*d*f*(8*A*d*f*(c*f+d*e)-B*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)))+b^2*(C*(21*c^4*f^4+28*c^3*d*e*f^3+30*c^2*d^2*e^2*f^2+28*c*d^3*e^3*f+21*d^4*e^4)+4*d*f*(2*A*d*f*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)-B*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3))))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(11/2)/f^(11/2),1],
[(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A),x,7,1/128*(-c*f+d*e)*(2*a*d*f*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))-b*(C*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3)+2*d*f*(8*A*d*f*(c*f+d*e)-B*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2))))*sqrt(d*x+c)*sqrt(f*x+e)/d^4/f^4+1/64*(2*a*d*f*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))-b*(C*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3)+2*d*f*(8*A*d*f*(c*f+d*e)-B*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2))))*(d*x+c)^(3/2)*sqrt(f*x+e)/d^4/f^3-1/48*(2*b*d*f*(-8*A*d*f+11*B*c*f+5*B*d*e)+2*a*d*f*(-8*B*d*f+11*C*c*f+5*C*d*e)-b*C*(25*c^2*f^2+16*c*d*e*f+7*d^2*e^2))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/d^3/f^3+1/40*(10*a*C*d*f-b*(-10*B*d*f+23*C*c*f+7*C*d*e))*(d*x+c)^(5/2)*(f*x+e)^(3/2)/d^3/f^2+1/5*b*C*(d*x+c)^(7/2)*(f*x+e)^(3/2)/d^3/f-1/128*(-c*f+d*e)^2*(2*a*d*f*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))-b*(C*(7*c^3*f^3+9*c^2*d*e*f^2+9*c*d^2*e^2*f+7*d^3*e^3)+2*d*f*(8*A*d*f*(c*f+d*e)-B*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2))))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(9/2)/f^(9/2),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A),x,6,1/64*(-c*f+d*e)*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))*sqrt(d*x+c)*sqrt(f*x+e)/d^3/f^3+1/32*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))*(d*x+c)^(3/2)*sqrt(f*x+e)/d^3/f^2-1/24*(-8*B*d*f+11*C*c*f+5*C*d*e)*(d*x+c)^(3/2)*(f*x+e)^(3/2)/d^2/f^2+1/4*C*(d*x+c)^(5/2)*(f*x+e)^(3/2)/d^2/f-1/64*(-c*f+d*e)^2*(C*(5*c^2*f^2+6*c*d*e*f+5*d^2*e^2)+8*d*f*(2*A*d*f-B*(c*f+d*e)))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(7/2)/f^(7/2),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/(b*x+a),x,8,1/8*(4*d*f*(2*A*b*d*f-a*C*(c*f+d*e))-(-4*a*d*f-b*c*f+b*d*e)*(2*a*C*d*f+b*(-2*B*d*f+C*c*f+C*d*e))/b)*sqrt(d*x+c)*sqrt(f*x+e)/b^2/d^2/f^2-1/4*(2*a*C*d*f+b*(-2*B*d*f+C*c*f+C*d*e))*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/d^2/f+1/3*C*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/d/f-1/8*(16*a^3*C*d^3*f^3-8*a^2*b*d^2*f^2*(2*B*d*f+C*c*f+C*d*e)-2*a*b^2*d*f*(C*(-c*f+d*e)^2-4*d*f*(2*A*d*f+B*c*f+B*d*e))-b^3*(C*(-c*f+d*e)^2*(c*f+d*e)-2*d*f*(B*(-c*f+d*e)^2-4*A*d*f*(c*f+d*e))))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^4/d^(5/2)/f^(5/2)-2*(A*b^2-a*(B*b-C*a))*sqrt(-a*d+b*c)*sqrt(-a*f+b*e)*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^4,1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^2,x,8,1/4*(12*a^2*C*d^2*f-a*b*d*(8*B*d*f+7*C*c*f+C*d*e)-b^2*(c^2*C*f-4*A*d^2*f-c*d*(4*B*f+C*e)))*sqrt(d*x+c)*sqrt(f*x+e)/b^3/d/(-a*d+b*c)/f+1/2*(3*a^2*C*d*f+b^2*(2*A*d*f+C*c*e)-a*b*(2*B*d*f+C*c*f+C*d*e))*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/d/(-a*d+b*c)/(-a*f+b*e)-(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)+1/4*(24*a^2*C*d^2*f^2-8*a*b*d*f*(2*B*d*f+C*c*f+C*d*e)-b^2*(C*(-c*f+d*e)^2-4*d*f*(2*A*d*f+B*c*f+B*d*e)))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^4/d^(3/2)/f^(3/2)+(6*a^3*C*d*f-b^3*(A*c*f+A*d*e+2*B*c*e)+a*b^2*(2*A*d*f+3*B*c*f+3*B*d*e+4*C*c*e)-a^2*b*(4*B*d*f+5*C*(c*f+d*e)))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^4/sqrt(-a*d+b*c)/sqrt(-a*f+b*e),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^3,x,8,-1/4*(12*a^3*C*d^2*f-a^2*b*d*(4*B*d*f+17*C*c*f+11*C*d*e)-b^3*(4*c^2*C*e-A*d^2*e+c*d*(A*f+4*B*e))+a*b^2*(3*B*d^2*e+4*c^2*C*f+c*d*(5*B*f+16*C*e)))*sqrt(d*x+c)*sqrt(f*x+e)/b^3/(-a*d+b*c)^2/(-a*f+b*e)+1/4*(6*a^3*C*d*f-b^3*(-A*c*f-A*d*e+4*B*c*e)+a*b^2*(-2*A*d*f+3*B*c*f+3*B*d*e+8*C*c*e)-a^2*b*(2*B*d*f+7*C*(c*f+d*e)))*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/(-a*d+b*c)^2/(-a*f+b*e)/(b*x+a)-1/2*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^2-(6*a*C*d*f-b*(2*B*d*f+C*c*f+C*d*e))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^4/sqrt(d)/sqrt(f)-1/4*(24*a^4*C*d^2*f^2-3*a*b^3*(B*d^2*e^2+c^2*f*(B*f+8*C*e)+2*c*d*e*(3*B*f+4*C*e))-8*a^3*b*d*f*(B*d*f+5*C*(c*f+d*e))-b^4*(A*d^2*e^2-2*c*d*e*(A*f+2*B*e)-c^2*(-A*f^2+4*B*e*f+8*C*e^2))+3*a^2*b^2*(4*B*d*f*(c*f+d*e)+C*(5*c^2*f^2+22*c*d*e*f+5*d^2*e^2)))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^4/(-a*d+b*c)^(3/2)/(-a*f+b*e)^(3/2),1],
[(b*x+a)^2*sqrt(d*x+c)*(C*x^2+B*x+A)/sqrt(f*x+e),x,7,-1/128*(16*a^2*d^2*f^2*(2*d*f*(-4*A*d*f+B*c*f+3*B*d*e)-C*(c^2*f^2+2*c*d*e*f+5*d^2*e^2))+4*a*b*d*f*(C*(5*c^3*f^3+9*c^2*d*e*f^2+15*c*d^2*e^2*f+35*d^3*e^3)+8*d*f*(2*A*d*f*(c*f+3*d*e)-B*(c^2*f^2+2*c*d*e*f+5*d^2*e^2)))-b^2*(C*(7*c^4*f^4+12*c^3*d*e*f^3+18*c^2*d^2*e^2*f^2+28*c*d^3*e^3*f+63*d^4*e^4)+2*d*f*(8*A*d*f*(c^2*f^2+2*c*d*e*f+5*d^2*e^2)-B*(5*c^3*f^3+9*c^2*d*e*f^2+15*c*d^2*e^2*f+35*d^3*e^3))))*sqrt(d*x+c)*sqrt(f*x+e)/d^4/f^5-1/192*(16*a^2*d^2*f^2*(-6*B*d*f+7*C*c*f+5*C*d*e)+4*a*b*d*f*(8*d*f*(-6*A*d*f+7*B*c*f+5*B*d*e)-C*(59*c^2*f^2+50*c*d*e*f+35*d^2*e^2))+b^2*(C*(121*c^3*f^3+109*c^2*d*e*f^2+91*c*d^2*e^2*f+63*d^3*e^3)+2*d*f*(8*A*d*f*(7*c*f+5*d*e)-B*(59*c^2*f^2+50*c*d*e*f+35*d^2*e^2))))*(d*x+c)^(3/2)*sqrt(f*x+e)/d^4/f^4+1/240*(80*a^2*C*d^2*f^2-20*a*b*d*f*(-8*B*d*f+17*C*c*f+7*C*d*e)-b^2*(10*d*f*(-8*A*d*f+17*B*c*f+7*B*d*e)-C*(263*c^2*f^2+154*c*d*e*f+63*d^2*e^2)))*(d*x+c)^(5/2)*sqrt(f*x+e)/d^4/f^3+1/40*b*(20*a*C*d*f-b*(-10*B*d*f+31*C*c*f+9*C*d*e))*(d*x+c)^(7/2)*sqrt(f*x+e)/d^4/f^2+1/5*b^2*C*(d*x+c)^(9/2)*sqrt(f*x+e)/d^4/f+1/128*(-c*f+d*e)*(16*a^2*d^2*f^2*(2*d*f*(-4*A*d*f+B*c*f+3*B*d*e)-C*(c^2*f^2+2*c*d*e*f+5*d^2*e^2))+4*a*b*d*f*(C*(5*c^3*f^3+9*c^2*d*e*f^2+15*c*d^2*e^2*f+35*d^3*e^3)+8*d*f*(2*A*d*f*(c*f+3*d*e)-B*(c^2*f^2+2*c*d*e*f+5*d^2*e^2)))-b^2*(C*(7*c^4*f^4+12*c^3*d*e*f^3+18*c^2*d^2*e^2*f^2+28*c*d^3*e^3*f+63*d^4*e^4)+2*d*f*(8*A*d*f*(c^2*f^2+2*c*d*e*f+5*d^2*e^2)-B*(5*c^3*f^3+9*c^2*d*e*f^2+15*c*d^2*e^2*f+35*d^3*e^3))))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(9/2)/f^(11/2),1],
[(b*x+a)*sqrt(d*x+c)*(C*x^2+B*x+A)/sqrt(f*x+e),x,6,-1/64*(8*a*d*f*(2*d*f*(-4*A*d*f+B*c*f+3*B*d*e)-C*(c^2*f^2+2*c*d*e*f+5*d^2*e^2))+b*(C*(5*c^3*f^3+9*c^2*d*e*f^2+15*c*d^2*e^2*f+35*d^3*e^3)+8*d*f*(2*A*d*f*(c*f+3*d*e)-B*(c^2*f^2+2*c*d*e*f+5*d^2*e^2))))*sqrt(d*x+c)*sqrt(f*x+e)/d^3/f^4-1/96*(8*b*d*f*(-6*A*d*f+7*B*c*f+5*B*d*e)+8*a*d*f*(-6*B*d*f+7*C*c*f+5*C*d*e)-b*C*(59*c^2*f^2+50*c*d*e*f+35*d^2*e^2))*(d*x+c)^(3/2)*sqrt(f*x+e)/d^3/f^3+1/24*(8*a*C*d*f-b*(-8*B*d*f+17*C*c*f+7*C*d*e))*(d*x+c)^(5/2)*sqrt(f*x+e)/d^3/f^2+1/4*b*C*(d*x+c)^(7/2)*sqrt(f*x+e)/d^3/f+1/64*(-c*f+d*e)*(8*a*d*f*(2*d*f*(-4*A*d*f+B*c*f+3*B*d*e)-C*(c^2*f^2+2*c*d*e*f+5*d^2*e^2))+b*(C*(5*c^3*f^3+9*c^2*d*e*f^2+15*c*d^2*e^2*f+35*d^3*e^3)+8*d*f*(2*A*d*f*(c*f+3*d*e)-B*(c^2*f^2+2*c*d*e*f+5*d^2*e^2))))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(7/2)/f^(9/2),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/sqrt(f*x+e),x,5,1/8*(C*(c^2*f^2+2*c*d*e*f+5*d^2*e^2)+2*d*f*(4*A*d*f-B*(c*f+3*d*e)))*sqrt(d*x+c)*sqrt(f*x+e)/d^2/f^3-1/12*(-6*B*d*f+7*C*c*f+5*C*d*e)*(d*x+c)^(3/2)*sqrt(f*x+e)/d^2/f^2+1/3*C*(d*x+c)^(5/2)*sqrt(f*x+e)/d^2/f-1/8*(-c*f+d*e)*(C*(c^2*f^2+2*c*d*e*f+5*d^2*e^2)+2*d*f*(4*A*d*f-B*(c*f+3*d*e)))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(5/2)/f^(7/2),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/(b*x+a)/sqrt(f*x+e),x,7,-1/4*(4*a*C*d*f+b*(-4*B*d*f+C*c*f+3*C*d*e))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/d/f^2+1/2*C*(d*x+c)^(3/2)*sqrt(f*x+e)/b/d/f+1/4*(2*d*f*(4*A*b*d*f-a*C*(c*f+3*d*e))+(2*a*d*f-b*c*f+b*d*e)*(4*a*C*d*f+b*(-4*B*d*f+C*c*f+3*C*d*e))/b)*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^2/d^(3/2)/f^(5/2)-2*(A*b^2-a*(B*b-C*a))*sqrt(-a*d+b*c)*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^3/sqrt(-a*f+b*e),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/(b*x+a)^2/sqrt(f*x+e),x,7,(2*a^2*C*d*f+b^2*(A*d*f+C*c*e)-a*b*(B*d*f+C*c*f+C*d*e))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*d+b*c)/f/(-a*f+b*e)-(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)-(4*a*C*d*f+b*(-2*B*d*f-C*c*f+C*d*e))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^3/sqrt(d)/f^(3/2)+(4*a^3*C*d*f-b^3*(-A*c*f+A*d*e+2*B*c*e)+a*b^2*(B*c*f+3*B*d*e+4*C*c*e)-a^2*b*(2*B*d*f+3*C*c*f+5*C*d*e))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^3/sqrt(-a*d+b*c)/(-a*f+b*e)^(3/2),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/(b*x+a)^3/sqrt(f*x+e),x,7,1/4*(4*a^3*C*d*f-a^2*b*C*(5*c*f+7*d*e)-b^3*(-3*A*c*f-A*d*e+4*B*c*e)+a*b^2*(-4*A*d*f+B*c*f+3*B*d*e+8*C*c*e))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*d+b*c)/(-a*f+b*e)^2/(b*x+a)-1/2*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^2+2*C*sqrt(d)*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^3/sqrt(f)+1/4*(8*a*C*d*(-a*d+b*c)*(-a*f+b*e)^2/b-4*C*(-a*d+b*c)*(-a*f+b*e)*(2*b*c*e-a*(c*f+d*e))-b*(-c*f+d*e)*(a^2*C*(c*f+3*d*e)-a*b*(-4*A*d*f+B*c*f+3*B*d*e+4*C*c*e)+b^2*(4*B*c*e-A*(3*c*f+d*e))))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^2/(-a*d+b*c)^(3/2)/(-a*f+b*e)^(5/2),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/(b*x+a)^4/sqrt(f*x+e),x,6,1/12*(4*a^3*C*d*f-b^3*(-5*A*c*f-3*A*d*e+6*B*c*e)+a*b^2*(-8*A*d*f+B*c*f+3*B*d*e+12*C*c*e)-a^2*b*(-2*B*d*f+7*C*c*f+9*C*d*e))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*d+b*c)/(-a*f+b*e)^2/(b*x+a)^2-1/24*(8*a^4*C*d^2*f^2-2*a^3*b*d*f*(-2*B*d*f+7*C*c*f+13*C*d*e)-b^4*(3*A*d^2*e^2-2*c*d*e*(-2*A*f+3*B*e)-3*c^2*(5*A*f^2-6*B*e*f+8*C*e^2))-a*b^3*(d^2*e*(-10*A*f+3*B*e)+3*c^2*f*(-B*f+4*C*e)+2*c*d*(13*A*f^2-14*B*e*f+30*C*e^2))-a^2*b^2*(4*d*f*(-2*A*d*f+B*c*f+4*B*d*e)-C*(3*c^2*f^2+44*c*d*e*f+33*d^2*e^2)))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*d+b*c)^2/(-a*f+b*e)^3/(b*x+a)-1/3*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^3-1/8*(-c*f+d*e)*(b^2*(A*d^2*e^2-2*c*d*e*(-A*f+B*e)+c^2*(5*A*f^2-6*B*e*f+8*C*e^2))+a*b*(d^2*e*(-4*A*f+B*e)-c^2*f*(-B*f+4*C*e)-2*c*d*(6*A*f^2-7*B*e*f+6*C*e^2))-a^2*(2*d*f*(-4*A*d*f+B*c*f+3*B*d*e)-C*(c^2*f^2+2*c*d*e*f+5*d^2*e^2)))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/(-a*d+b*c)^(5/2)/(-a*f+b*e)^(7/2),1],
[(b*x+a)^2*(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(f*x+e),x,6,-1/64*(16*a^2*d^2*f^2*(-4*B*d*f+5*C*c*f+3*C*d*e)+16*a*b*d*f*(2*d*f*(-4*A*d*f+5*B*c*f+3*B*d*e)-C*(11*c^2*f^2+8*c*d*e*f+5*d^2*e^2))+b^2*(C*(93*c^3*f^3+73*c^2*d*e*f^2+55*c*d^2*e^2*f+35*d^3*e^3)+8*d*f*(2*A*d*f*(5*c*f+3*d*e)-B*(11*c^2*f^2+8*c*d*e*f+5*d^2*e^2))))*sqrt(d*x+c)*sqrt(f*x+e)/d^4/f^4+1/96*(48*a^2*C*d^2*f^2-16*a*b*d*f*(-6*B*d*f+13*C*c*f+5*C*d*e)-b^2*(8*d*f*(-6*A*d*f+13*B*c*f+5*B*d*e)-C*(163*c^2*f^2+90*c*d*e*f+35*d^2*e^2)))*(d*x+c)^(3/2)*sqrt(f*x+e)/d^4/f^3+1/24*b*(16*a*C*d*f-b*(-8*B*d*f+25*C*c*f+7*C*d*e))*(d*x+c)^(5/2)*sqrt(f*x+e)/d^4/f^2+1/4*b^2*C*(d*x+c)^(7/2)*sqrt(f*x+e)/d^4/f+1/64*(16*a^2*d^2*f^2*(C*(3*c^2*f^2+2*c*d*e*f+3*d^2*e^2)+4*d*f*(2*A*d*f-B*(c*f+d*e)))-16*a*b*d*f*(C*(5*c^3*f^3+3*c^2*d*e*f^2+3*c*d^2*e^2*f+5*d^3*e^3)+2*d*f*(4*A*d*f*(c*f+d*e)-B*(3*c^2*f^2+2*c*d*e*f+3*d^2*e^2)))+b^2*(C*(35*c^4*f^4+20*c^3*d*e*f^3+18*c^2*d^2*e^2*f^2+20*c*d^3*e^3*f+35*d^4*e^4)+8*d*f*(2*A*d*f*(3*c^2*f^2+2*c*d*e*f+3*d^2*e^2)-B*(5*c^3*f^3+3*c^2*d*e*f^2+3*c*d^2*e^2*f+5*d^3*e^3))))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(9/2)/f^(9/2),1],
[(b*x+a)*(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(f*x+e),x,5,-1/8*(2*b*d*f*(-4*A*d*f+5*B*c*f+3*B*d*e)+2*a*d*f*(-4*B*d*f+5*C*c*f+3*C*d*e)-b*C*(11*c^2*f^2+8*c*d*e*f+5*d^2*e^2))*sqrt(d*x+c)*sqrt(f*x+e)/d^3/f^3+1/12*(6*a*C*d*f-b*(-6*B*d*f+13*C*c*f+5*C*d*e))*(d*x+c)^(3/2)*sqrt(f*x+e)/d^3/f^2+1/3*b*C*(d*x+c)^(5/2)*sqrt(f*x+e)/d^3/f+1/8*(2*a*d*f*(C*(3*c^2*f^2+2*c*d*e*f+3*d^2*e^2)+4*d*f*(2*A*d*f-B*(c*f+d*e)))-b*(C*(5*c^3*f^3+3*c^2*d*e*f^2+3*c*d^2*e^2*f+5*d^3*e^3)+2*d*f*(4*A*d*f*(c*f+d*e)-B*(3*c^2*f^2+2*c*d*e*f+3*d^2*e^2))))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(7/2)/f^(7/2),1],
[(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(f*x+e),x,4,-1/4*(-4*B*d*f+5*C*c*f+3*C*d*e)*sqrt(d*x+c)*sqrt(f*x+e)/d^2/f^2+1/2*C*(d*x+c)^(3/2)*sqrt(f*x+e)/d^2/f+1/4*(C*(3*c^2*f^2+2*c*d*e*f+3*d^2*e^2)+4*d*f*(2*A*d*f-B*(c*f+d*e)))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/d^(5/2)/f^(5/2),1],
[(C*x^2+B*x+A)/(b*x+a)/sqrt(d*x+c)/sqrt(f*x+e),x,6,C*sqrt(d*x+c)*sqrt(f*x+e)/b/d/f-(2*a*C*d*f+b*(-2*B*d*f+C*c*f+C*d*e))*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^2/d^(3/2)/f^(3/2)-2*(A*b^2-a*(B*b-C*a))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^2/sqrt(-a*d+b*c)/sqrt(-a*f+b*e),1],
[(C*x^2+B*x+A)/(b*x+a)^2/sqrt(d*x+c)/sqrt(f*x+e),x,6,-(A*b^2-a*(B*b-C*a))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)+2*C*arctanh(sqrt(f)*sqrt(d*x+c)/sqrt(d)/sqrt(f*x+e))/b^2/sqrt(d)/sqrt(f)+(2*a^3*C*d*f-3*a^2*b*C*(c*f+d*e)-b^3*(-A*c*f-A*d*e+2*B*c*e)+a*b^2*(-2*A*d*f+B*c*f+B*d*e+4*C*c*e))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b^2/(-a*d+b*c)^(3/2)/(-a*f+b*e)^(3/2),1],
[(C*x^2+B*x+A)/(b*x+a)^3/sqrt(d*x+c)/sqrt(f*x+e),x,5,-1/2*(A*b^2-a*(B*b-C*a))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^2+1/4*(2*a^3*C*d*f+a*b^2*(-6*A*d*f+B*c*f+B*d*e+8*C*c*e)-b^3*(4*B*c*e-3*A*(c*f+d*e))+a^2*b*(2*B*d*f-5*C*(c*f+d*e)))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)^2/(-a*f+b*e)^2/(b*x+a)-1/4*(2*(2*b*c*e-a*(c*f+d*e))*(a*B*d*f+a^2*C*d*f/b-2*a*C*(c*f+d*e)+b*(-A*d*f+2*C*c*e))-(-2*a*d*f+b*c*f+b*d*e)*(a^2*C*(c*f+d*e)-a*b*(-4*A*d*f+B*c*f+B*d*e+4*C*c*e)+b^2*(4*B*c*e-3*A*(c*f+d*e)))/b)*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/(-a*d+b*c)^(5/2)/(-a*f+b*e)^(5/2),1],
[(C*x^2+B*x+A)/(b*x+a)^4/sqrt(d*x+c)/sqrt(f*x+e),x,6,-1/3*(A*b^2-a*(B*b-C*a))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^3+1/12*(2*a^3*C*d*f+a*b^2*(-10*A*d*f+B*c*f+B*d*e+12*C*c*e)-b^3*(6*B*c*e-5*A*(c*f+d*e))+a^2*b*(4*B*d*f-7*C*(c*f+d*e)))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)^2/(-a*f+b*e)^2/(b*x+a)^2+1/24*(4*a^4*C*d^2*f^2+8*a^3*b*d*f*(B*d*f-2*C*(c*f+d*e))-b^4*(15*A*d^2*e^2-2*c*d*e*(-7*A*f+9*B*e)+3*c^2*(5*A*f^2-6*B*e*f+8*C*e^2))-a*b^3*(d^2*e*(-44*A*f+3*B*e)-3*c^2*f*(-B*f+4*C*e)-2*c*d*(22*A*f^2-29*B*e*f+6*C*e^2))-a^2*b^2*(C*(3*c^2*f^2-34*c*d*e*f+3*d^2*e^2)+2*d*f*(22*A*d*f-5*B*(c*f+d*e))))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)^3/(-a*f+b*e)^3/(b*x+a)-1/24*(2*d*f*(2*b*c*e-a*(c*f+d*e))*(2*a^3*C*d*f+a*b^2*(-10*A*d*f+B*c*f+B*d*e+12*C*c*e)-b^3*(6*B*c*e-5*A*(c*f+d*e))+a^2*b*(4*B*d*f-7*C*(c*f+d*e)))-(-2*a*d*f+b*c*f+b*d*e)*((4*a*d*f-3*b*(c*f+d*e))*(a^2*C*(c*f+d*e)-a*b*(-6*A*d*f+B*c*f+B*d*e+6*C*c*e)+b^2*(6*B*c*e-5*A*(c*f+d*e)))+2*(4*b*c*e-a*(c*f+d*e))*(a^2*C*d*f+b^2*(-2*A*d*f+3*C*c*e)+a*b*(2*B*d*f-3*C*(c*f+d*e)))))*arctanh(sqrt(-a*f+b*e)*sqrt(d*x+c)/sqrt(-a*d+b*c)/sqrt(f*x+e))/b/(-a*d+b*c)^(7/2)/(-a*f+b*e)^(7/2),1],
[sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A),x,12,2/315*(24*a^2*b*B*d^3*f^3-16*a^3*C*d^3*f^3-3*a*b^2*d*f*(d*f*(14*A*d*f+B*c*f+B*d*e)-C*(c^2*f^2+d^2*e^2))+b^3*(C*(8*c^3*f^3-3*c^2*d*e*f^2-3*c*d^2*e^2*f+8*d^3*e^3)+3*d*f*(7*A*d*f*(c*f+d*e)-B*(4*c^2*f^2-2*c*d*e*f+4*d^2*e^2))))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b^3/d^3/f^3-2/105*(7*d*f*(-3*A*b*d*f+C*a*c*f+C*a*d*e+C*b*c*e)-(-4*a*d*f-4*b*c*f+b*d*e)*(3*b*B*d*f-2*a*C*d*f-2*b*C*(c*f+d*e))/b)*(b*x+a)^(3/2)*sqrt(d*x+c)*sqrt(f*x+e)/b^2/d^2/f^2+2/21*(3*B*d*f-2*C*(a*d*f+b*c*f+b*d*e)/b)*(b*x+a)^(3/2)*(d*x+c)^(3/2)*sqrt(f*x+e)/b/d^2/f+2/9*C*(b*x+a)^(3/2)*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/d/f-2/315*sqrt(a*d-b*c)*(16*a^4*C*d^4*f^4-8*a^3*b*d^3*f^3*(3*B*d*f+C*c*f+C*d*e)+3*a^2*b^2*d^2*f^2*(d*f*(14*A*d*f+5*B*c*f+5*B*d*e)-2*C*(c^2*f^2-c*d*e*f+d^2*e^2))-a*b^3*d*f*(C*(8*c^3*f^3-6*c^2*d*e*f^2-6*c*d^2*e^2*f+8*d^3*e^3)+3*d*f*(14*A*d*f*(c*f+d*e)-B*(5*c^2*f^2-6*c*d*e*f+5*d^2*e^2)))+b^4*(2*C*(8*c^4*f^4-4*c^3*d*e*f^3-3*c^2*d^2*e^2*f^2-4*c*d^3*e^3*f+8*d^4*e^4)+3*d*f*(14*A*d*f*(c^2*f^2-c*d*e*f+d^2*e^2)-B*(8*c^3*f^3-5*c^2*d*e*f^2-5*c*d^2*e^2*f+8*d^3*e^3))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/d^(7/2)/f^4/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/315*sqrt(a*d-b*c)*(-a*f+b*e)*(-c*f+d*e)*(8*a^3*C*d^3*f^3+3*a^2*b*d^2*f^2*(-4*B*d*f-C*c*f+C*d*e)-3*a*b^2*d*f^2*((-7*A*d^2+C*c^2)*f+B*d*(-2*c*f+d*e))-b^3*(C*(-8*c^3*f^3-3*c^2*d*e*f^2+16*d^3*e^3)+3*d*f*(7*A*d*f*(-c*f+2*d*e)-B*(-4*c^2*f^2-c*d*e*f+8*d^2*e^2))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/d^(7/2)/f^4/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/sqrt(b*x+a),x,11,2/105*((-4*a*d*f-2*b*c*f+b*d*e)*(7*b*B*d*f-6*a*C*d*f-4*b*C*(c*f+d*e))/b-5*d*f*(3*a*C*(c*f+d*e)+b*(-7*A*d*f+C*c*e)))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b^2/d^2/f^2+2/35*(7*b*B*d*f-6*a*C*d*f-4*b*C*(c*f+d*e))*sqrt(b*x+a)*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/d^2/f+2/7*C*sqrt(b*x+a)*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/d/f-2/105*sqrt(a*d-b*c)*(3*d*f*((a*c*f+3*a*d*e+b*c*e)*(7*b*B*d*f-6*a*C*d*f-4*b*C*(c*f+d*e))+5*b*d*e*(3*a*C*(c*f+d*e)+b*(-7*A*d*f+C*c*e)))-(b*c*f-2*d*(a*f+b*e))*((-4*a*d*f-2*b*c*f+b*d*e)*(7*b*B*d*f-6*a*C*d*f-4*b*C*(c*f+d*e))-5*b*d*f*(3*a*C*(c*f+d*e)+b*(-7*A*d*f+C*c*e)))/b)*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/d^(5/2)/f^3/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/105*sqrt(a*d-b*c)*(-a*f+b*e)*(-c*f+d*e)*(24*a^2*C*d^2*f^2+a*b*d*f*(-28*B*d*f-5*C*c*f+13*C*d*e)-b^2*(7*d*f*(-5*A*d*f-B*c*f+2*B*d*e)-C*(-4*c^2*f^2-c*d*e*f+8*d^2*e^2)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/d^(5/2)/f^3/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^(3/2),x,11,2/15*(24*a^2*C*d^2*f-a*b*d*(20*B*d*f+7*C*c*f+C*d*e)-b^2*(2*c^2*C*f-15*A*d^2*f-c*d*(5*B*f+C*e)))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b^3/d/(-a*d+b*c)/f+2/5*(6*a^2*C*d*f+b^2*(5*A*d*f+C*c*e)-a*b*(5*B*d*f+C*c*f+C*d*e))*sqrt(b*x+a)*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/d/(-a*d+b*c)/(-a*f+b*e)-2*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/(-a*d+b*c)/(-a*f+b*e)/sqrt(b*x+a)+2/15*sqrt(a*d-b*c)*(48*a^2*C*d^2*f^2-8*a*b*d*f*(5*B*d*f+C*c*f+C*d*e)+b^2*(5*d*f*(6*A*d*f+B*c*f+B*d*e)-2*C*(c^2*f^2-c*d*e*f+d^2*e^2)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/d^(3/2)/f^2/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/15*sqrt(a*d-b*c)*(-c*f+d*e)*(24*a^2*C*d*f^2-a*b*f*(20*B*d*f+C*c*f+7*C*d*e)+b^2*(5*d*f*(3*A*f+B*e)-C*e*(-c*f+2*d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/d^(3/2)/f^2/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^(5/2),x,11,2/3*(8*a^2*C*d*f+b^2*(A*d*f+3*B*d*e+C*c*e)-a*b*(4*B*d*f+C*c*f+7*C*d*e))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b^3/(-a*d+b*c)/(-a*f+b*e)-2*(B*b-2*C*a)*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/(-a*d+b*c)/sqrt(b*x+a)-2/3*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^(3/2)+2/3*(16*a^3*C*d^2*f^2-8*a^2*b*d*f*(B*d*f+2*C*(c*f+d*e))-b^3*(c^2*C*e*f+A*d^2*e*f+c*d*(A*f^2+6*B*e*f+C*e^2))+a*b^2*(d*f*(2*A*d*f+7*B*c*f+7*B*d*e)+C*(c^2*f^2+16*c*d*e*f+d^2*e^2)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/sqrt(d)/sqrt(a*d-b*c)/f/(-a*f+b*e)/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/3*(-c*f+d*e)*(8*a^2*C*d*f+b^2*(A*d*f+3*B*c*f+C*c*e)-a*b*(4*B*d*f+7*C*c*f+C*d*e))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/sqrt(d)/sqrt(a*d-b*c)/f/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^(7/2),x,11,2/15*(24*a^3*C*d*f^2-a^2*b*f*(4*B*d*f+23*C*c*f+41*C*d*e)-b^3*(15*c*C*e^2+A*d*e*f+c*f*(-2*A*f+5*B*e))+a*b^2*(5*C*e*(8*c*f+3*d*e)+f*(-A*d*f+3*B*c*f+6*B*d*e)))*sqrt(d*x+c)*sqrt(f*x+e)/b^3/(-a*d+b*c)/(-a*f+b*e)^2/sqrt(b*x+a)+2/15*(6*a^3*C*d*f+a*b^2*(-4*A*d*f+3*B*c*f+3*B*d*e+10*C*c*e)-b^3*(5*B*c*e-2*A*(c*f+d*e))-a^2*b*(B*d*f+8*C*(c*f+d*e)))*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/(-a*d+b*c)^2/(-a*f+b*e)/(b*x+a)^(3/2)-2/5*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^(5/2)+2/15*sqrt(d)*(48*a^4*C*d^2*f^2-8*a^3*b*d*f*(B*d*f+11*C*(c*f+d*e))-b^4*(2*A*d^2*e^2-c*d*e*(2*A*f+5*B*e)-c^2*(-2*A*f^2+5*B*e*f+30*C*e^2))-a*b^3*(d^2*e*(-2*A*f+3*B*e)+c^2*f*(3*B*f+70*C*e)+2*c*d*(-A*f^2+11*B*e*f+35*C*e^2))+a^2*b^2*(2*C*(19*c^2*f^2+81*c*d*e*f+19*d^2*e^2)-d*f*(2*A*d*f-13*B*(c*f+d*e))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/(a*d-b*c)^(3/2)/(-a*f+b*e)^2/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/15*(-c*f+d*e)*(24*a^3*C*d^2*f-a^2*b*d*(4*B*d*f+41*C*c*f+23*C*d*e)-b^3*(15*c^2*C*e-2*A*d^2*e+c*d*(A*f+5*B*e))+a*b^2*(15*c^2*C*f+d^2*(-A*f+3*B*e)+c*(6*B*d*f+40*C*d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/sqrt(d)/(a*d-b*c)^(3/2)/(-a*f+b*e)/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*sqrt(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^(9/2),x,12,-2/105*(24*a^4*C*d^2*f^2-a^3*b*d*f*(-4*B*d*f+61*C*c*f+43*C*d*e)+b^4*(8*A*d^2*e^2-c*d*e*(A*f+14*B*e)+c^2*(-4*A*f^2+7*B*e*f+35*C*e^2))+3*a*b^3*(d^2*e*(-5*A*f+2*B*e)-c^2*f*(B*f+28*C*e)-c*d*(-3*A*f^2-5*B*e*f+14*C*e^2))-3*a^2*b^2*(d*f*(-A*d*f+3*B*c*f+2*B*d*e)-C*(15*c^2*f^2+37*c*d*e*f+5*d^2*e^2)))*sqrt(d*x+c)*sqrt(f*x+e)/b^3/(-a*d+b*c)^2/(-a*f+b*e)^2/(b*x+a)^(3/2)+2/105*(48*a^5*C*d^3*f^3+8*a^4*b*d^2*f^2*(B*d*f-16*C*(c*f+d*e))-b^5*(8*A*d^3*e^3-c*d^2*e^2*(5*A*f+14*B*e)+c^2*d*e*(-5*A*f^2+14*B*e*f+35*C*e^2)+c^3*f*(8*A*f^2-14*B*e*f+35*C*e^2))-a*b^4*(d^3*e^2*(-19*A*f+6*B*e)-6*c^3*f^2*(-B*f+7*C*e)-c^2*d*f*(238*C*e^2-19*f*(-A*f+B*e))-c*d^2*e*(42*C*e^2-f*(20*A*f+19*B*e)))+a^3*b^2*d*f*(C*(103*c^2*f^2+344*c*d*e*f+103*d^2*e^2)+d*f*(6*A*d*f-19*B*(c*f+d*e)))-3*a^2*b^3*(C*(5*c^3*f^3+94*c^2*d*e*f^2+94*c*d^2*e^2*f+5*d^3*e^3)+d*f*(3*A*d*f*(c*f+d*e)-B*(3*c^2*f^2+16*c*d*e*f+3*d^2*e^2))))*sqrt(d*x+c)*sqrt(f*x+e)/b^3/(-a*d+b*c)^3/(-a*f+b*e)^3/sqrt(b*x+a)+2/35*(6*a^3*C*d*f+a*b^2*(-8*A*d*f+3*B*c*f+3*B*d*e+14*C*c*e)-b^3*(7*B*c*e-4*A*(c*f+d*e))+a^2*b*(B*d*f-10*C*(c*f+d*e)))*(d*x+c)^(3/2)*sqrt(f*x+e)/b^2/(-a*d+b*c)^2/(-a*f+b*e)/(b*x+a)^(5/2)-2/7*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*(f*x+e)^(3/2)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^(7/2)+2/105*sqrt(d)*(48*a^5*C*d^3*f^3+8*a^4*b*d^2*f^2*(B*d*f-16*C*(c*f+d*e))-b^5*(8*A*d^3*e^3-c*d^2*e^2*(5*A*f+14*B*e)+c^2*d*e*(-5*A*f^2+14*B*e*f+35*C*e^2)+c^3*f*(8*A*f^2-14*B*e*f+35*C*e^2))-a*b^4*(d^3*e^2*(-19*A*f+6*B*e)-6*c^3*f^2*(-B*f+7*C*e)-c^2*d*f*(238*C*e^2-19*f*(-A*f+B*e))-c*d^2*e*(42*C*e^2-f*(20*A*f+19*B*e)))+a^3*b^2*d*f*(C*(103*c^2*f^2+344*c*d*e*f+103*d^2*e^2)+d*f*(6*A*d*f-19*B*(c*f+d*e)))-3*a^2*b^3*(C*(5*c^3*f^3+94*c^2*d*e*f^2+94*c*d^2*e^2*f+5*d^3*e^3)+d*f*(3*A*d*f*(c*f+d*e)-B*(3*c^2*f^2+16*c*d*e*f+3*d^2*e^2))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/(a*d-b*c)^(5/2)/(-a*f+b*e)^3/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/105*sqrt(d)*(-c*f+d*e)*(24*a^4*C*d^2*f^2-a^3*b*d*f*(-4*B*d*f+61*C*c*f+43*C*d*e)+b^4*(8*A*d^2*e^2-c*d*e*(A*f+14*B*e)+c^2*(-4*A*f^2+7*B*e*f+35*C*e^2))+3*a*b^3*(d^2*e*(-5*A*f+2*B*e)-c^2*f*(B*f+28*C*e)-c*d*(-3*A*f^2-5*B*e*f+14*C*e^2))-3*a^2*b^2*(d*f*(-A*d*f+3*B*c*f+2*B*d*e)-C*(15*c^2*f^2+37*c*d*e*f+5*d^2*e^2)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^4/(a*d-b*c)^(5/2)/(-a*f+b*e)^2/sqrt(d*x+c)/sqrt(f*x+e),1],
[(b*x+a)^(3/2)*sqrt(d*x+c)*(C*x^2+B*x+A)/sqrt(f*x+e),x,12,-2/945*(5*d*f*(7*b*c*f*(-9*A*b*d*f+C*a*c*f+3*C*a*d*e+5*C*b*c*e)-(a*c*f+a*d*e+5*b*c*e)*(4*a*C*d*f+b*(-9*B*d*f+6*C*c*f+8*C*d*e)))+(3*a*d*f-4*b*(c*f+d*e))*(7*d*f*(-9*A*b*d*f+C*a*c*f+3*C*a*d*e+5*C*b*c*e)-(2*a*d*f-b*c*f+6*b*d*e)*(4*a*C*d*f+b*(-9*B*d*f+6*C*c*f+8*C*d*e))/b))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b/d^3/f^4-2/315*(7*d*f*(-9*A*b*d*f+C*a*c*f+3*C*a*d*e+5*C*b*c*e)-(2*a*d*f-b*c*f+6*b*d*e)*(4*a*C*d*f+b*(-9*B*d*f+6*C*c*f+8*C*d*e))/b)*(b*x+a)^(3/2)*sqrt(d*x+c)*sqrt(f*x+e)/b/d^2/f^3-2/63*(4*a*C*d*f+b*(-9*B*d*f+6*C*c*f+8*C*d*e))*(b*x+a)^(5/2)*sqrt(d*x+c)*sqrt(f*x+e)/b^2/d/f^2+2/9*C*(b*x+a)^(5/2)*(d*x+c)^(3/2)*sqrt(f*x+e)/b/d/f+2/315*sqrt(a*d-b*c)*(8*a^4*C*d^4*f^4+a^3*b*d^3*f^3*(-18*B*d*f-7*C*c*f+11*C*d*e)-3*a^2*b^2*d^2*f^2*(3*d*f*(-7*A*d*f-3*B*c*f+4*B*d*e)-C*(-3*c^2*f^2-5*c*d*e*f+9*d^2*e^2))-a*b^3*d*f*(2*C*(-16*c^3*f^3-18*c^2*d*e*f^2-33*c*d^2*e^2*f+92*d^3*e^3)+3*d*f*(7*A*d*f*(-7*c*f+13*d*e)-B*(-19*c^2*f^2-29*c*d*e*f+72*d^2*e^2)))+b^4*(C*(-16*c^4*f^4-16*c^3*d*e*f^3-21*c^2*d^2*e^2*f^2-40*c*d^3*e^3*f+128*d^4*e^4)+3*d*f*(7*A*d*f*(-2*c^2*f^2-3*c*d*e*f+8*d^2*e^2)-B*(-8*c^3*f^3-9*c^2*d*e*f^2-16*c*d^2*e^2*f+48*d^3*e^3))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/d^(7/2)/f^5/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/315*sqrt(a*d-b*c)*(-a*f+b*e)*(-c*f+d*e)*(4*a^3*C*d^3*f^3+3*a^2*b*d^2*f^2*(-3*B*d*f-C*c*f+3*C*d*e)-3*a*b^2*d*f*(3*d*f*(-21*A*d*f+3*B*c*f+16*B*d*e)-5*C*(c^2*f^2+2*c*d*e*f+8*d^2*e^2))-b^3*(C*(8*c^3*f^3+15*c^2*d*e*f^2+24*c*d^2*e^2*f+128*d^3*e^3)+3*d*f*(7*A*d*f*(c*f+8*d*e)-4*B*(c^2*f^2+2*c*d*e*f+12*d^2*e^2))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/d^(7/2)/f^5/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(b*x+a)*sqrt(d*x+c)*(C*x^2+B*x+A)/sqrt(f*x+e),x,11,-2/105*(5*d*f*(-7*A*b*d*f+C*a*c*f+3*C*a*d*e+3*C*b*c*e)-(2*a*d*f-b*c*f+4*b*d*e)*(4*a*C*d*f+b*(-7*B*d*f+4*C*c*f+6*C*d*e))/b)*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b/d^2/f^3-2/35*(4*a*C*d*f+b*(-7*B*d*f+4*C*c*f+6*C*d*e))*(b*x+a)^(3/2)*sqrt(d*x+c)*sqrt(f*x+e)/b^2/d/f^2+2/7*C*(b*x+a)^(3/2)*(d*x+c)^(3/2)*sqrt(f*x+e)/b/d/f-2/105*sqrt(a*d-b*c)*(3*d*f*(5*b*c*f*(-7*A*b*d*f+C*a*c*f+3*C*a*d*e+3*C*b*c*e)-(a*c*f+a*d*e+3*b*c*e)*(4*a*C*d*f+b*(-7*B*d*f+4*C*c*f+6*C*d*e)))+(a*d*f-2*b*(c*f+d*e))*(5*d*f*(-7*A*b*d*f+C*a*c*f+3*C*a*d*e+3*C*b*c*e)-(2*a*d*f-b*c*f+4*b*d*e)*(4*a*C*d*f+b*(-7*B*d*f+4*C*c*f+6*C*d*e))/b))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/d^(5/2)/f^4/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/105*sqrt(a*d-b*c)*(-a*f+b*e)*(-c*f+d*e)*(4*a^2*C*d^2*f^2+a*b*d*f*(-7*B*d*f-2*C*c*f+8*C*d*e)-b^2*(7*d*f*(-10*A*d*f+B*c*f+8*B*d*e)-4*C*(c^2*f^2+2*c*d*e*f+12*d^2*e^2)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/d^(5/2)/f^4/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(f*x+e),x,10,-2/15*(4*a*C*d*f+b*(-5*B*d*f+2*C*c*f+4*C*d*e))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b^2/d/f^2+2/5*C*sqrt(b*x+a)*(d*x+c)^(3/2)*sqrt(f*x+e)/b/d/f-2/15*sqrt(a*d-b*c)*(3*d*f*(-5*A*b*d*f+C*a*c*f+3*C*a*d*e+C*b*c*e)-(2*a*d*f-b*c*f+2*b*d*e)*(4*a*C*d*f+b*(-5*B*d*f+2*C*c*f+4*C*d*e))/b)*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/d^(3/2)/f^3/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/15*sqrt(a*d-b*c)*(-c*f+d*e)*(4*a^2*C*d*f^2+a*b*f*(-5*B*d*f-C*c*f+3*C*d*e)-b^2*(5*d*f*(-3*A*f+2*B*e)-C*e*(c*f+8*d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/d^(3/2)/f^3/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/(b*x+a)^(3/2)/sqrt(f*x+e),x,10,2/3*(4*a^2*C*d*f+b^2*(3*A*d*f+C*c*e)-a*b*(3*B*d*f+C*c*f+C*d*e))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*d+b*c)/f/(-a*f+b*e)-2*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/sqrt(b*x+a)+2/3*sqrt(a*d-b*c)*(8*a^2*C*d*f^2-a*b*f*(6*B*d*f+C*c*f+3*C*d*e)+b^2*(3*d*f*(A*f+B*e)-C*e*(-c*f+2*d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/sqrt(d)/f^2/(-a*f+b*e)/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/3*sqrt(a*d-b*c)*(-c*f+d*e)*(-3*B*b*f+4*C*a*f+2*C*b*e)*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/sqrt(d)/f^2/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/(b*x+a)^(5/2)/sqrt(f*x+e),x,10,-2/3*(4*a^2*C*f+b^2*(-2*A*f+3*B*e)-a*b*(B*f+6*C*e))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*f+b*e)^2/sqrt(b*x+a)-2/3*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^(3/2)+2/3*sqrt(d)*(8*a^3*C*d*f^2-a^2*b*f*(2*B*d*f+7*C*c*f+13*C*d*e)-b^3*(3*c*C*e^2+A*d*e*f+c*f*(-2*A*f+3*B*e))+a*b^2*(3*C*e*(4*c*f+d*e)+f*(-A*d*f+B*c*f+4*B*d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/sqrt(a*d-b*c)/f/(-a*f+b*e)^2/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/3*(-c*f+d*e)*(4*a^2*C*d*f+b^2*(A*d*f+3*C*c*e)-a*b*(B*d*f+3*C*(c*f+d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/sqrt(d)/sqrt(a*d-b*c)/f/(-a*f+b*e)/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(d*x+c)*(C*x^2+B*x+A)/(b*x+a)^(7/2)/sqrt(f*x+e),x,11,2/15*(4*a^3*C*d*f-b^3*(-4*A*c*f-2*A*d*e+5*B*c*e)+a*b^2*(-6*A*d*f+B*c*f+3*B*d*e+10*C*c*e)-a^2*b*(-B*d*f+6*C*c*f+8*C*d*e))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*d+b*c)/(-a*f+b*e)^2/(b*x+a)^(3/2)-2/15*(8*a^4*C*d^2*f^2-a^3*b*d*f*(-2*B*d*f+13*C*c*f+23*C*d*e)-b^4*(2*A*d^2*e^2-c*d*e*(-3*A*f+5*B*e)-c^2*(8*A*f^2-10*B*e*f+15*C*e^2))-a^2*b^2*(d*f*(-3*A*d*f+2*B*c*f+7*B*d*e)-C*(3*c^2*f^2+37*c*d*e*f+23*d^2*e^2))-a*b^3*(d^2*e*(-7*A*f+3*B*e)+2*c^2*f*(-B*f+5*C*e)+c*d*(40*C*e^2-13*f*(-A*f+B*e))))*sqrt(d*x+c)*sqrt(f*x+e)/b^2/(-a*d+b*c)^2/(-a*f+b*e)^3/sqrt(b*x+a)-2/5*(A*b^2-a*(B*b-C*a))*(d*x+c)^(3/2)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^(5/2)+2/15*sqrt(d)*(8*a^4*C*d^2*f^2-a^3*b*d*f*(-2*B*d*f+13*C*c*f+23*C*d*e)-b^4*(2*A*d^2*e^2-c*d*e*(-3*A*f+5*B*e)-c^2*(8*A*f^2-10*B*e*f+15*C*e^2))-a^2*b^2*(d*f*(-3*A*d*f+2*B*c*f+7*B*d*e)-C*(3*c^2*f^2+37*c*d*e*f+23*d^2*e^2))-a*b^3*(d^2*e*(-7*A*f+3*B*e)+2*c^2*f*(-B*f+5*C*e)+c*d*(40*C*e^2-13*f*(-A*f+B*e))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/(a*d-b*c)^(3/2)/(-a*f+b*e)^3/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/15*sqrt(d)*(-c*f+d*e)*(4*a^3*C*d*f-b^3*(-4*A*c*f-2*A*d*e+5*B*c*e)+a*b^2*(-6*A*d*f+B*c*f+3*B*d*e+10*C*c*e)-a^2*b*(-B*d*f+6*C*c*f+8*C*d*e))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^3/(a*d-b*c)^(3/2)/(-a*f+b*e)^2/sqrt(d*x+c)/sqrt(f*x+e),1],
[(b*x+a)^(3/2)*(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(f*x+e),x,11,-2/105*(5*d*f*(-7*A*b*d*f+C*a*c*f+C*a*d*e+5*C*b*c*e)-(3*a*d*f-4*b*(c*f+d*e))*(7*b*B*d*f-2*a*C*d*f-6*b*C*(c*f+d*e))/b)*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/d^3/f^3+2/35*(7*B*d*f-2*a*C*d*f/b-6*C*(c*f+d*e))*(b*x+a)^(3/2)*sqrt(d*x+c)*sqrt(f*x+e)/d^2/f^2+2/7*C*(b*x+a)^(5/2)*sqrt(d*x+c)*sqrt(f*x+e)/b/d/f-2/105*sqrt(a*d-b*c)*(3*d*f*(5*a*d*f*(-7*A*b*d*f+C*a*c*f+C*a*d*e+5*C*b*c*e)+(a*c*f+a*d*e+3*b*c*e)*(7*b*B*d*f-2*a*C*d*f-6*b*C*(c*f+d*e)))+(a*d*f-2*b*(c*f+d*e))*(5*d*f*(-7*A*b*d*f+C*a*c*f+C*a*d*e+5*C*b*c*e)-(3*a*d*f-4*b*(c*f+d*e))*(7*b*B*d*f-2*a*C*d*f-6*b*C*(c*f+d*e))/b))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b/d^(7/2)/f^4/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/105*sqrt(a*d-b*c)*(-a*f+b*e)*(3*a^2*C*d^2*f^2*(-c*f+d*e)-3*a*b*d*f*(7*d*f*(-5*A*d*f+2*B*c*f+3*B*d*e)-C*(11*c^2*f^2+8*c*d*e*f+16*d^2*e^2))-b^2*(C*(24*c^3*f^3+17*c^2*d*e*f^2+16*c*d^2*e^2*f+48*d^3*e^3)+7*d*f*(5*A*d*f*(c*f+2*d*e)-B*(4*c^2*f^2+3*c*d*e*f+8*d^2*e^2))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/d^(7/2)/f^4/sqrt(d*x+c)/sqrt(f*x+e),1],
[sqrt(b*x+a)*(C*x^2+B*x+A)/sqrt(d*x+c)/sqrt(f*x+e),x,10,2/15*(5*B*d*f-2*a*C*d*f/b-4*C*(c*f+d*e))*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/d^2/f^2+2/5*C*(b*x+a)^(3/2)*sqrt(d*x+c)*sqrt(f*x+e)/b/d/f-2/15*sqrt(a*d-b*c)*(3*d*f*(-5*A*b*d*f+C*a*c*f+C*a*d*e+3*C*b*c*e)-(a*d*f-2*b*(c*f+d*e))*(5*b*B*d*f-2*a*C*d*f-4*b*C*(c*f+d*e))/b)*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b/d^(5/2)/f^3/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/15*sqrt(a*d-b*c)*(-a*f+b*e)*(a*C*d*f*(-c*f+d*e)+b*C*(4*c^2*f^2+3*c*d*e*f+8*d^2*e^2)+5*b*d*f*(3*A*d*f-B*(c*f+2*d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/d^(5/2)/f^3/sqrt(d*x+c)/sqrt(f*x+e),1],
[(C*x^2+B*x+A)/sqrt(b*x+a)/sqrt(d*x+c)/sqrt(f*x+e),x,9,2/3*C*sqrt(b*x+a)*sqrt(d*x+c)*sqrt(f*x+e)/b/d/f+2/3*sqrt(a*d-b*c)*(3*b*B*d*f-2*a*C*d*f-2*b*C*(c*f+d*e))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/d^(3/2)/f^2/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/3*sqrt(a*d-b*c)*(3*b*d*f*(-A*f+B*e)-a*C*f*(-c*f+d*e)-b*C*e*(c*f+2*d*e))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/d^(3/2)/f^2/sqrt(d*x+c)/sqrt(f*x+e),1],
[(C*x^2+B*x+A)/(b*x+a)^(3/2)/sqrt(d*x+c)/sqrt(f*x+e),x,9,-2*(A*b^2-a*(B*b-C*a))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/sqrt(b*x+a)-2*(2*a^2*C*d*f+b^2*(A*d*f+C*c*e)-a*b*(B*d*f+C*c*f+C*d*e))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/sqrt(d)/sqrt(a*d-b*c)/f/(-a*f+b*e)/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2*(a*C*(-c*f+d*e)-b*(A*d*f-B*c*f+C*c*e))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/sqrt(d)/sqrt(a*d-b*c)/f/sqrt(d*x+c)/sqrt(f*x+e),1],
[(C*x^2+B*x+A)/(b*x+a)^(5/2)/sqrt(d*x+c)/sqrt(f*x+e),x,10,-2/3*(A*b^2-a*(B*b-C*a))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^(3/2)+2/3*(2*a^3*C*d*f+a*b^2*(-4*A*d*f+B*c*f+B*d*e+6*C*c*e)-b^3*(3*B*c*e-2*A*(c*f+d*e))+a^2*b*(B*d*f-4*C*(c*f+d*e)))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)^2/(-a*f+b*e)^2/sqrt(b*x+a)-2/3*sqrt(d)*(2*a^3*C*d*f+a*b^2*(-4*A*d*f+B*c*f+B*d*e+6*C*c*e)-b^3*(3*B*c*e-2*A*(c*f+d*e))+a^2*b*(B*d*f-4*C*(c*f+d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/(a*d-b*c)^(3/2)/(-a*f+b*e)^2/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))-2/3*(a^2*C*d*(-c*f+d*e)-b^2*(A*c*d*f+2*A*d^2*e-3*B*c*d*e+3*C*c^2*e)+a*b*(3*(A*d^2+C*c^2)*f-B*d*(2*c*f+d*e)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/sqrt(d)/(a*d-b*c)^(3/2)/(-a*f+b*e)/sqrt(d*x+c)/sqrt(f*x+e),1],
[(C*x^2+B*x+A)/(b*x+a)^(7/2)/sqrt(d*x+c)/sqrt(f*x+e),x,11,-2/5*(A*b^2-a*(B*b-C*a))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)/(-a*f+b*e)/(b*x+a)^(5/2)+2/15*(2*a^3*C*d*f+a*b^2*(-8*A*d*f+B*c*f+B*d*e+10*C*c*e)-b^3*(5*B*c*e-4*A*(c*f+d*e))+3*a^2*b*(B*d*f-2*C*(c*f+d*e)))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)^2/(-a*f+b*e)^2/(b*x+a)^(3/2)+2/15*(2*a^4*C*d^2*f^2+a^3*b*d*f*(3*B*d*f-7*C*(c*f+d*e))-b^4*(8*A*d^2*e^2-c*d*e*(-7*A*f+10*B*e)+c^2*(8*A*f^2-10*B*e*f+15*C*e^2))-a*b^3*(d^2*e*(-23*A*f+2*B*e)-2*c^2*f*(-B*f+5*C*e)-c*d*(23*A*f^2-33*B*e*f+10*C*e^2))-a^2*b^2*(C*(3*c^2*f^2-13*c*d*e*f+3*d^2*e^2)+d*f*(23*A*d*f-7*B*(c*f+d*e))))*sqrt(d*x+c)*sqrt(f*x+e)/b/(-a*d+b*c)^3/(-a*f+b*e)^3/sqrt(b*x+a)+2/15*sqrt(d)*(2*a^4*C*d^2*f^2+a^3*b*d*f*(3*B*d*f-7*C*(c*f+d*e))-b^4*(8*A*d^2*e^2-c*d*e*(-7*A*f+10*B*e)+c^2*(8*A*f^2-10*B*e*f+15*C*e^2))-a*b^3*(d^2*e*(-23*A*f+2*B*e)-2*c^2*f*(-B*f+5*C*e)-c*d*(23*A*f^2-33*B*e*f+10*C*e^2))-a^2*b^2*(C*(3*c^2*f^2-13*c*d*e*f+3*d^2*e^2)+d*f*(23*A*d*f-7*B*(c*f+d*e))))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(f*x+e)*EllipticE(sin(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c))),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/(a*d-b*c)^(5/2)/(-a*f+b*e)^3/sqrt(d*x+c)/sqrt(b*(f*x+e)/(-a*f+b*e))+2/15*sqrt(d)*(a^3*C*d*f*(-c*f+d*e)+b^3*(8*A*d^2*e^2-c*d*e*(-3*A*f+10*B*e)+c^2*(4*A*f^2-5*B*e*f+15*C*e^2))+a*b^2*(d^2*e*(-19*A*f+2*B*e)-c^2*f*(-B*f+20*C*e)-c*d*(11*A*f^2-27*B*e*f+10*C*e^2))-3*a^2*b*(d*f*(-5*A*d*f+3*B*c*f+2*B*d*e)-C*(3*c^2*f^2+c*d*e*f+d^2*e^2)))*sqrt(b*(d*x+c)/(-a*d+b*c))*sqrt(b*(f*x+e)/(-a*f+b*e))*InverseJacobiAM(arcsin(sqrt(d)*sqrt(b*x+a)/sqrt(a*d-b*c)),sqrt((-a*d+b*c)*f/d/(-a*f+b*e)))/b^2/(a*d-b*c)^(5/2)/(-a*f+b*e)^2/sqrt(d*x+c)/sqrt(f*x+e),1]]: