lst:=[[(C*x^2+B*x+A)/sqrt(e*x+d)/(5*x^2+3*x+2),x,0,0,1],
[(f*x^2+e*x+d)/(h*x+g)/(c*h^2*x^2+b*h^2*x+b*g*h-c*g^2)^(3/2),x,2,2/3*(d*h^2-e*g*h+f*g^2)/h^3/(-b*h+2*c*g)/(h*x+g)/sqrt(-g*(-b*h+c*g)+b*h^2*x+c*h^2*x^2)-2/3*(12*c^2*f*g^3+3*b^2*h^2*(-e*h+3*f*g)-2*b*c*h*(10*f*g^2-h*(2*d*h+e*g))-h*(6*b*c*e*h^2-3*b^2*f*h^2+4*c^2*(f*g^2-h*(2*d*h+e*g)))*x)/h^3/(-b*h+2*c*g)^3/sqrt(-g*(-b*h+c*g)+b*h^2*x+c*h^2*x^2),1],
[(e*x+d)^m*(c*e^2*x^2+b*e^2*x+b*d*e-c*d^2)^p*((b*e-c*d)*f+(b*e*g-c*d*g+c*e*f)*x+c*e*g*x^2),x,5,g*(e*x+d)^(-1+m)*(-d*(-b*e+c*d)+b*e^2*x+c*e^2*x^2)^(2+p)/c/e^2/(3+m+2*p)+(b*e*g*(1+m+p)+c*(d*g*(1-m)-e*f*(3+m+2*p)))*(e*x+d)^(-1+m)*(-d*(-b*e+c*d)+b*e^2*x+c*e^2*x^2)^(2+p)*hypergeom([1, 3+m+2*p],[2+m+p],c*(e*x+d)/(-b*e+2*c*d))/c/e^2/(-b*e+2*c*d)/(1+m+p)/(3+m+2*p),1],
[(e*x+d)^3*(h*x^2+g*x+f)/(c*x^2+b*x+a),x,6,-(b^3*e^3*h-c^3*d*(d^2*h+3*d*e*g+3*e^2*f)-b*c*e^2*(2*a*e*h+3*b*d*h+b*e*g)+c^2*e*(a*e*(3*d*h+e*g)+b*(3*d^2*h+3*d*e*g+e^2*f)))*x/c^4+1/2*e*(b^2*e^2*h+c^2*(3*d^2*h+3*d*e*g+e^2*f)-c*e*(a*e*h+3*b*d*h+b*e*g))*x^2/c^3+1/3*e^2*(-b*e*h+3*c*d*h+c*e*g)*x^3/c^2+1/4*e^3*h*x^4/c-(2*c^5*d^3*f-b^5*e^3*h+b^3*c*e^2*(5*a*e*h+3*b*d*h+b*e*g)-c^4*d*(b*d*(d*g+3*e*f)+2*a*(d^2*h+3*d*e*g+3*e^2*f))-b*c^2*e*(5*a^2*e^2*h+4*a*b*e*(3*d*h+e*g)+b^2*(3*d^2*h+3*d*e*g+e^2*f))+c^3*(2*a^2*e^2*(3*d*h+e*g)+b^2*d*(d^2*h+3*d*e*g+3*e^2*f)+3*a*b*e*(3*d^2*h+3*d*e*g+e^2*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^5/sqrt(-4*a*c+b^2)+1/2*(c^4*d^2*(d*g+3*e*f)+b^4*e^3*h-b^2*c*e^2*(3*a*e*h+3*b*d*h+b*e*g)+c^2*e*(a^2*e^2*h+2*a*b*e*(3*d*h+e*g)+b^2*(3*d^2*h+3*d*e*g+e^2*f))-c^3*(b*d*(d^2*h+3*d*e*g+3*e^2*f)+a*e*(3*d^2*h+3*d*e*g+e^2*f)))*ln(c*x^2+b*x+a)/c^5,1],
[(e*x+d)^2*(h*x^2+g*x+f)/(c*x^2+b*x+a),x,6,(b^2*e^2*h+c^2*(d^2*h+2*d*e*g+e^2*f)-c*e*(a*e*h+2*b*d*h+b*e*g))*x/c^3+1/2*e*(-b*e*h+2*c*d*h+c*e*g)*x^2/c^2+1/3*e^2*h*x^3/c-(2*c^4*d^2*f+b^4*e^2*h-b^2*c*e*(4*a*e*h+2*b*d*h+b*e*g)-c^3*(b*d*(d*g+2*e*f)+2*a*(d^2*h+2*d*e*g+e^2*f))+c^2*(2*a^2*e^2*h+3*a*b*e*(2*d*h+e*g)+b^2*(d^2*h+2*d*e*g+e^2*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^4/sqrt(-4*a*c+b^2)+1/2*(c^3*d*(d*g+2*e*f)-b^3*e^2*h+b*c*e*(2*a*e*h+2*b*d*h+b*e*g)-c^2*(a*e*(2*d*h+e*g)+b*(d^2*h+2*d*e*g+e^2*f)))*ln(c*x^2+b*x+a)/c^4,1],
[(e*x+d)*(h*x^2+g*x+f)/(c*x^2+b*x+a),x,6,(-b*e*h+c*d*h+c*e*g)*x/c^2+1/2*e*h*x^2/c-(2*c^3*d*f-b^3*e*h-c^2*(2*a*d*h+2*a*e*g+b*d*g+b*e*f)+b*c*(3*a*e*h+b*d*h+b*e*g))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/2*(c^2*(d*g+e*f)+b^2*e*h-c*(a*e*h+b*d*h+b*e*g))*ln(c*x^2+b*x+a)/c^3,1],
[(h*x^2+g*x+f)/(c*x^2+b*x+a),x,6,h*x/c-(-2*a*c*h+b^2*h-b*c*g+2*c^2*f)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)+1/2*(-b*h+c*g)*ln(c*x^2+b*x+a)/c^2,1],
[(h*x^2+g*x+f)/(e*x+d)/(c*x^2+b*x+a),x,6,-(2*c^2*d*f+b*(-a*e+b*d)*h-c*(2*a*d*h-2*a*e*g+b*d*g+b*e*f))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)+(d^2*h-d*e*g+e^2*f)*ln(e*x+d)/e/(a*e^2-b*d*e+c*d^2)-1/2*(-a*e*h+b*d*h-c*d*g+c*e*f)*ln(c*x^2+b*x+a)/c/(a*e^2-b*d*e+c*d^2),1],
[(h*x^2+g*x+f)/(e*x+d)^2/(c*x^2+b*x+a),x,7,-(d^2*h-d*e*g+e^2*f)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)-(2*c^2*d^2*f+2*a^2*e^2*h-a*b*e*(2*d*h+e*g)+b^2*(d^2*h+e^2*f)-c*(b*d*(d*g+2*e*f)+2*a*(d^2*h-2*d*e*g+e^2*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2+(c*d*(-d*g+2*e*f)+a*e*(-2*d*h+e*g)-b*(-d^2*h+e^2*f))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2-1/2*(c*d*(-d*g+2*e*f)+a*e*(-2*d*h+e*g)-b*(-d^2*h+e^2*f))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[(h*x^2+g*x+f)/(e*x+d)^3/(c*x^2+b*x+a),x,7,-1/2*(d^2*h-d*e*g+e^2*f)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-(c*d*(-d*g+2*e*f)+a*e*(-2*d*h+e*g)-b*(-d^2*h+e^2*f))/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-(2*c^3*d^3*f-b*e^3*(a^2*h-a*b*g+b^2*f)-c^2*d*(b*d*(d*g+3*e*f)+2*a*(d^2*h-3*d*e*g+3*e^2*f))-c*(2*a^2*e^2*(-3*d*h+e*g)-3*a*b*e*(-d^2*h-d*e*g+e^2*f)-b^2*(d^3*h+3*d*e^2*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3+(c^2*d^2*(-d*g+3*e*f)+e^3*(a^2*h-a*b*g+b^2*f)-a*c*e*(3*d^2*h-3*d*e*g+e^2*f)-b*c*(-d^3*h+3*d*e^2*f))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3-1/2*(c^2*d^2*(-d*g+3*e*f)+e^3*(a^2*h-a*b*g+b^2*f)-a*c*e*(3*d^2*h-3*d*e*g+e^2*f)-b*c*(-d^3*h+3*d*e^2*f))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(e*x+d)^2*(h*x^2+g*x+f)/(c*x^2+b*x+a)^2,x,7,e^2*h*x/c^2-(a*b^3*e^2*h-a*b^2*c*e*(2*d*h+e*g)-2*a*c^2*(c*d*(d*g+2*e*f)-a*e*(2*d*h+e*g))+b*c*(c^2*d^2*f-3*a^2*e^2*h+a*c*(d^2*h+2*d*e*g+e^2*f))+(2*c^4*d^2*f+b^4*e^2*h-b^2*c*e*(4*a*e*h+2*b*d*h+b*e*g)-c^3*(b*d*(d*g+2*e*f)+2*a*(d^2*h+2*d*e*g+e^2*f))+c^2*(2*a^2*e^2*h+3*a*b*e*(2*d*h+e*g)+b^2*(d^2*h+2*d*e*g+e^2*f)))*x)/c^3/(-4*a*c+b^2)/(c*x^2+b*x+a)+(4*c^4*d^2*f-2*b^4*e^2*h-6*a*c^2*e*(2*a*e*h+2*b*d*h+b*e*g)+b^2*c*e*(12*a*e*h+2*b*d*h+b*e*g)-c^3*(2*b*d*(d*g+2*e*f)-4*a*(d^2*h+2*d*e*g+e^2*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(3/2)+1/2*e*(-2*b*e*h+2*c*d*h+c*e*g)*ln(c*x^2+b*x+a)/c^3,1],
[(e*x+d)*(h*x^2+g*x+f)/(c*x^2+b*x+a)^2,x,5,(a*b^2*e*h-b*c*(a*d*h+a*e*g+c*d*f)+2*a*c*(c*(d*g+e*f)-a*e*h)-(2*c^3*d*f-b^3*e*h-c^2*(2*a*d*h+2*a*e*g+b*d*g+b*e*f)+b*c*(3*a*e*h+b*d*h+b*e*g))*x)/c^2/(-4*a*c+b^2)/(c*x^2+b*x+a)+(4*c^3*d*f+b^3*e*h-6*a*b*c*e*h-2*c^2*(b*(d*g+e*f)-2*a*(d*h+e*g)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/2*e*h*ln(c*x^2+b*x+a)/c^2,1],
[(h*x^2+g*x+f)/(c*x^2+b*x+a)^2,x,3,(2*a*c*g-b*(a*h+c*f)-(-2*a*c*h+b^2*h-b*c*g+2*c^2*f)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*(2*a*h-b*g+2*c*f)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(h*x^2+g*x+f)/(e*x+d)/(c*x^2+b*x+a)^2,x,7,(b^2*e*f-b*(a*d*h+a*e*g+c*d*f)-2*a*(-a*e*h-c*d*g+c*e*f)-((-b*e+2*c*d)*(-a*h+c*f)-(-2*a*e+b*d)*(-b*h+c*g))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+(4*c^3*d^3*f+b*e*(4*a*b*d*e*h-2*a^2*e^2*h+b^2*(-d^2*h-d*e*g+e^2*f))-2*c^2*d*(b*d*(d*g+3*e*f)-2*a*(d^2*h-d*e*g+3*e^2*f))+2*c*e*(2*b^2*d^2*g+2*a^2*e*(-d*h+e*g)-a*b*(d^2*h+d*e*g+3*e^2*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^2+e*(d^2*h-d*e*g+e^2*f)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2-1/2*e*(d^2*h-d*e*g+e^2*f)*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[(h*x^2+g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^2,x,7,-e*(2*c^2*d^2*f-b*c*d*(d*g+2*e*f)+2*a^2*e^2*h-a*b*e*(2*d*h+e*g)+b^2*(2*d^2*h-d*e*g+2*e^2*f)-2*a*c*(3*d^2*h-4*d*e*g+3*e^2*f))/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)+(b^2*e*f-b*(a*d*h+a*e*g+c*d*f)-2*a*(-a*e*h-c*d*g+c*e*f)-((-b*e+2*c*d)*(-a*h+c*f)-(-2*a*e+b*d)*(-b*h+c*g))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)/(c*x^2+b*x+a)+(4*c^4*d^4*f-b^3*e^3*(2*a*d*h-a*e*g-b*d*g+2*b*e*f)-2*c^3*d^2*(b*d*(d*g+4*e*f)-2*a*(d^2*h-2*d*e*g+6*e^2*f))-6*c^2*e*(4*a*b*d*e^2*f-b^2*d^3*g+2*a^2*e*(2*d^2*h-2*d*e*g+e^2*f))-c*e*(6*a^2*b*e^3*g-4*a^3*e^3*h-b^3*d*(-2*d^2*h-3*d*e*g+4*e^2*f)-6*a*b^2*e*(2*d^2*h-d*e*g+2*e^2*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^3-e*(e^2*(2*a*d*h-a*e*g-b*d*g+2*b*e*f)-c*d*(2*d^2*h-3*d*e*g+4*e^2*f))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3+1/2*e*(e^2*(2*a*d*h-a*e*g-b*d*g+2*b*e*f)-c*d*(2*d^2*h-3*d*e*g+4*e^2*f))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[x^3*(x^2+x+1)/(x^2-x+1)^2,x,7,3*x+1/2*x^2+2*(2-x)/(3*x^2-3*x+3)+10/3*arctan((1-2*x)/sqrt(3))/sqrt(3)+2*ln(x^2-x+1),1],
[x^2*(x^2+x+1)/(x^2-x+1)^2,x,7,x+2*(1-2*x)/(3*x^2-3*x+3)-7/3*arctan((1-2*x)/sqrt(3))/sqrt(3)+3/2*ln(x^2-x+1),1],
[x*(x^2+x+1)/(x^2-x+1)^2,x,5,(-2-2*x)/(3*x^2-3*x+3)-11/3*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*ln(x^2-x+1),1],
[(x^2+x+1)/(x^2-x+1)^2,x,3,(-4+2*x)/(3*x^2-3*x+3)-10/3*arctan((1-2*x)/sqrt(3))/sqrt(3),1],
[(x^2+x+1)/x/(x^2-x+1)^2,x,7,(-2+4*x)/(3*x^2-3*x+3)-11/3*arctan((1-2*x)/sqrt(3))/sqrt(3)+ln(x)-1/2*ln(x^2-x+1),1],
[(x^2+x+1)/x^2/(x^2-x+1)^2,x,8,-1/x+2*(1+x)/(3*x^2-3*x+3)-7/3*arctan((1-2*x)/sqrt(3))/sqrt(3)+3*ln(x)-3/2*ln(x^2-x+1),1],
[(x^2+x+1)/x^3/(x^2-x+1)^2,x,7,-1/2/x^2-3/x+2*(2-x)/(3*x^2-3*x+3)+10/3*arctan((1-2*x)/sqrt(3))/sqrt(3)+4*ln(x)-2*ln(x^2-x+1),1],
[(h*x+g)^3*sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d),x,7,1/1024*(256*c^5*d*g^3-33*b^5*f*h^3-64*c^4*g*(a*f*g^2+3*a*h*(d*h+e*g)+2*b*g*(3*d*h+e*g))+6*b^3*c*h^2*(20*a*f*h+7*b*(e*h+3*f*g))-8*b*c^2*h*(10*a^2*f*h^2+14*a*b*h*(e*h+3*f*g)+7*b^2*(d*h^2+3*e*g*h+3*f*g^2))+16*c^3*(2*a^2*h^2*(e*h+3*f*g)+5*b^2*g*(f*g^2+3*h*(d*h+e*g))+6*a*b*h*(3*f*g^2+h*(d*h+3*e*g))))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6+1/280*(33*b^2*f*h/c+c*(28*e*g-12*f*g^2/h+56*d*h)-32*a*f*h-42*b*e*h-16*b*f*g)*(h*x+g)^2*(c*x^2+b*x+a)^(3/2)/c^2+1/84*(14*c*e-11*b*f-6*c*f*g/h)*(h*x+g)^3*(c*x^2+b*x+a)^(3/2)/c^2+1/7*f*(h*x+g)^4*(c*x^2+b*x+a)^(3/2)/c/h+1/13440*(1155*b^4*f*h^3-128*c^4*(3*f*g^4-7*g^2*h*(12*d*h+e*g))/h-42*b^2*c*h^2*(78*a*f*h+35*b*(e*h+3*f*g))+8*c^2*h*(128*a^2*f*h^2+343*a*b*h*(e*h+3*f*g)+b^2*(537*f*g^2+245*h*(d*h+3*e*g)))-16*c^3*(16*a*h*(15*f*g^2+7*h*(d*h+3*e*g))+b*g*(17*f*g^2+21*h*(25*d*h+19*e*g)))-6*c*(231*b^3*f*h^3-6*b*c*h^2*(74*a*f*h+49*b*e*h+59*b*f*g)+16*c^3*(3*f*g^3-7*g*h*(7*d*h+e*g))+8*c^2*h*(5*b*f*g^2+7*b*h*(7*d*h+9*e*g)+a*h*(35*e*h+41*f*g)))*x)*(c*x^2+b*x+a)^(3/2)/c^5-1/2048*(-4*a*c+b^2)*(256*c^5*d*g^3-33*b^5*f*h^3-64*c^4*g*(a*f*g^2+3*a*h*(d*h+e*g)+2*b*g*(3*d*h+e*g))+6*b^3*c*h^2*(20*a*f*h+7*b*(e*h+3*f*g))-8*b*c^2*h*(10*a^2*f*h^2+14*a*b*h*(e*h+3*f*g)+7*b^2*(d*h^2+3*e*g*h+3*f*g^2))+16*c^3*(2*a^2*h^2*(e*h+3*f*g)+5*b^2*g*(f*g^2+3*h*(d*h+e*g))+6*a*b*h*(3*f*g^2+h*(d*h+3*e*g))))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[(h*x+g)^2*sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d),x,6,1/512*(128*c^4*d*g^2+21*b^4*f*h^2-28*b^2*c*h*(2*a*f*h+b*e*h+2*b*f*g)-32*c^3*(a*f*g^2+a*h*(d*h+2*e*g)+2*b*g*(2*d*h+e*g))+8*c^2*(2*a^2*f*h^2+6*a*b*h*(e*h+2*f*g)+5*b^2*(f*g^2+h*(d*h+2*e*g))))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/20*(4*c*e-3*b*f-2*c*f*g/h)*(h*x+g)^2*(c*x^2+b*x+a)^(3/2)/c^2+1/6*f*(h*x+g)^3*(c*x^2+b*x+a)^(3/2)/c/h-1/960*(105*b^3*f*h^2+64*c^3*(f*g^3-2*g*h*(5*d*h+e*g))/h-28*b*c*h*(7*a*f*h+5*b*(e*h+2*f*g))+8*c^2*(7*b*f*g^2+25*b*h*(d*h+2*e*g)+16*a*h*(e*h+2*f*g))-6*c*(21*b^2*f*h^2-4*c*h*(5*a*f*h+7*b*e*h+2*b*f*g)-8*c^2*(f*g^2-h*(5*d*h+2*e*g)))*x)*(c*x^2+b*x+a)^(3/2)/c^4-1/1024*(-4*a*c+b^2)*(128*c^4*d*g^2+21*b^4*f*h^2-28*b^2*c*h*(2*a*f*h+b*e*h+2*b*f*g)-32*c^3*(a*f*g^2+a*h*(d*h+2*e*g)+2*b*g*(2*d*h+e*g))+8*c^2*(2*a^2*f*h^2+6*a*b*h*(e*h+2*f*g)+5*b^2*(f*g^2+h*(d*h+2*e*g))))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(h*x+g)*sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d),x,5,1/128*(32*c^3*d*g-7*b^3*f*h-8*c^2*(a*e*h+a*f*g+2*b*d*h+2*b*e*g)+2*b*c*(6*a*f*h+5*b*(e*h+f*g)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/5*f*(h*x+g)^2*(c*x^2+b*x+a)^(3/2)/c/h+1/240*(35*b^2*f*h^2-c^2*(48*f*g^2-80*h*(d*h+e*g))-2*c*h*(16*a*f*h+25*b*(e*h+f*g))-6*c*h*(7*b*f*h-10*c*e*h+6*c*f*g)*x)*(c*x^2+b*x+a)^(3/2)/c^3/h-1/256*(-4*a*c+b^2)*(32*c^3*d*g-7*b^3*f*h-8*c^2*(a*e*h+a*f*g+2*b*d*h+2*b*e*g)+2*b*c*(6*a*f*h+5*b*(e*h+f*g)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d),x,5,1/64*(-4*a*c*f+5*b^2*f-8*b*c*e+16*c^2*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+1/24*(-5*b*f+8*c*e)*(c*x^2+b*x+a)^(3/2)/c^2+1/4*f*x*(c*x^2+b*x+a)^(3/2)/c-1/128*(-4*a*c+b^2)*(16*c^2*d+5*b^2*f-4*c*(a*f+2*b*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)/(h*x+g),x,7,-1/8*(b^2*f*h+c^2*(8*e*g-8*f*g^2/h-8*d*h)+2*b*c*(-e*h+f*g)+2*c*(b*f*h-2*c*e*h+2*c*f*g)*x)*sqrt(c*x^2+b*x+a)/c^2/h^2+1/3*f*(c*x^2+b*x+a)^(3/2)/c/h+1/16*(4*c*(-b*h+2*c*g)*(b*f*g-2*c*d*h)-(b*f*h-2*c*e*h+2*c*f*g)*(8*c^2*g^2-b^2*h^2-4*c*h*(-a*h+b*g))/h)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/h^3+sqrt(a*h^2-b*g*h+c*g^2)*(f*g^2-h*(-d*h+e*g))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^4,1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)/(h*x+g)^2,x,7,-1/4*(b*f*h*(-a*h+b*g)-4*c^2*g*(2*e*g-3*f*g^2/h-d*h)+4*a*c*h*(-e*h+2*f*g)-b*c*(4*d*h^2-8*e*g*h+13*f*g^2)+2*c*h*(2*c*e*g+b*f*g-3*c*f*g^2/h-2*c*d*h-a*f*h)*x)*sqrt(c*x^2+b*x+a)/c/h^2/(a*h^2-b*g*h+c*g^2)-(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)-1/8*(b^2*f*h^2+4*c*h*(-a*f*h-b*e*h+2*b*f*g)-8*c^2*(3*f*g^2-h*(-d*h+2*e*g)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/h^4-1/2*(2*c*(3*f*g^3-g*h*(-d*h+2*e*g))-h*(5*b*f*g^2-b*h*(-d*h+3*e*g)-2*a*h*(-e*h+2*f*g)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^4/sqrt(a*h^2-b*g*h+c*g^2),1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)/(h*x+g)^3,x,7,-1/4*(11*b*f*g^2-b*h*(d*h+3*e*g)-4*c*g^2*(-e*h+3*f*g)/h-4*a*h*(-e*h+3*f*g)+2*h*(c*e*g+2*b*f*g-3*c*f*g^2/h-c*d*h-2*a*f*h)*x)*sqrt(c*x^2+b*x+a)/h^2/(a*h^2-b*g*h+c*g^2)/(h*x+g)-1/2*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^2-1/2*(-b*f*h-2*c*e*h+6*c*f*g)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/h^4+1/8*(8*c^2*g^3*(-e*h+3*f*g)-4*c*h*(b*g^2*(-3*e*h+10*f*g)-a*h*(d*h^2-3*e*g*h+9*f*g^2))+h^2*(8*a^2*f*h^2-4*a*b*h*(-e*h+6*f*g)+b^2*(15*f*g^2-h*(d*h+3*e*g))))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^4/(a*h^2-b*g*h+c*g^2)^(3/2),1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)/(h*x+g)^4,x,8,-f*sqrt(c*x^2+b*x+a)/h^3/(h*x+g)-1/8*(2*c*(-d*g*h^2+f*g^3)-h*(3*b*f*g^2-b*h*(d*h+e*g)-2*a*h*(-e*h+2*f*g)))*(b*g-2*a*h+(-b*h+2*c*g)*x)*sqrt(c*x^2+b*x+a)/h^2/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^2-1/3*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^3+sqrt(c)*f*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/h^4-1/16*(16*c^3*f*g^5-8*c^2*g*h*(a*d*h^3-5*a*f*g^2*h+5*b*f*g^3)-b*h^3*(8*a^2*f*h^2-2*a*b*h*(e*h+6*f*g)+b^2*(d*h^2+e*g*h+5*f*g^2))+2*c*h^2*(4*a^2*h^2*(-e*h+4*f*g)-2*a*b*h*(-d*h^2-e*g*h+15*f*g^2)+b^2*(d*g*h^2+15*f*g^3)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^4/(a*h^2-b*g*h+c*g^2)^(5/2),1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)/(h*x+g)^5,x,5,1/64*(16*c^2*d*g^2+16*a^2*f*h^2-8*a*b*h*(e*h+2*f*g)-4*c*(a*f*g^2-a*h*(-d*h+5*e*g)+2*b*g*(2*d*h+e*g))+b^2*(5*f*g^2+h*(5*d*h+3*e*g)))*(b*g-2*a*h+(-b*h+2*c*g)*x)*sqrt(c*x^2+b*x+a)/(a*h^2-b*g*h+c*g^2)^3/(h*x+g)^2-1/4*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^4+1/24*(6*c*f*g^3+2*c*g*h*(-5*d*h+e*g)+8*a*h^2*(-e*h+2*f*g)-b*h*(11*f*g^2-h*(5*d*h+3*e*g)))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^3-1/128*(-4*a*c+b^2)*(16*c^2*d*g^2+16*a^2*f*h^2-8*a*b*h*(e*h+2*f*g)-4*c*(a*f*g^2-a*h*(-d*h+5*e*g)+2*b*g*(2*d*h+e*g))+b^2*(5*f*g^2+h*(5*d*h+3*e*g)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(7/2),1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)/(h*x+g)^6,x,6,1/128*(32*c^3*d*g^3-8*c^2*g*(a*f*g^2-3*a*h*(-d*h+2*e*g)+2*b*g*(3*d*h+e*g))+2*c*(4*a^2*h^2*(-e*h+6*f*g)-6*a*b*h*(3*f*g^2+h*(-d*h+3*e*g))+b^2*(5*f*g^3+3*g*h*(5*d*h+2*e*g)))-b*h*(16*a^2*f*h^2-2*a*b*h*(5*e*h+6*f*g)+b^2*(3*f*g^2+h*(7*d*h+3*e*g))))*(b*g-2*a*h+(-b*h+2*c*g)*x)*sqrt(c*x^2+b*x+a)/(a*h^2-b*g*h+c*g^2)^4/(h*x+g)^2-1/5*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^5+1/40*(6*c*f*g^3+2*c*g*h*(-7*d*h+2*e*g)+10*a*h^2*(-e*h+2*f*g)-b*h*(13*f*g^2-h*(7*d*h+3*e*g)))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^4+1/240*(4*c^2*(3*f*g^4+g^2*h*(-27*d*h+2*e*g))-5*h^2*(16*a^2*f*h^2-2*a*b*h*(5*e*h+6*f*g)+b^2*(7*d*h^2+3*e*g*h+3*f*g^2))-2*c*h*(b*g*(-54*d*h^2-21*e*g*h+16*f*g^2)-2*a*h*(8*d*h^2-33*e*g*h+18*f*g^2)))*(c*x^2+b*x+a)^(3/2)/h/(a*h^2-b*g*h+c*g^2)^3/(h*x+g)^3-1/256*(-4*a*c+b^2)*(32*c^3*d*g^3-8*c^2*g*(a*f*g^2-3*a*h*(-d*h+2*e*g)+2*b*g*(3*d*h+e*g))+2*c*(4*a^2*h^2*(-e*h+6*f*g)-6*a*b*h*(3*f*g^2+h*(-d*h+3*e*g))+b^2*(5*f*g^3+3*g*h*(5*d*h+2*e*g)))-b*h*(16*a^2*f*h^2-2*a*b*h*(5*e*h+6*f*g)+b^2*(3*f*g^2+h*(7*d*h+3*e*g))))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(9/2),1],
[(h*x+g)^3*(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x,8,-1/32768*(-4*a*c+b^2)*(1536*c^5*d*g^3-143*b^5*f*h^3-256*c^4*g*(a*f*g^2+3*a*h*(d*h+e*g)+3*b*g*(3*d*h+e*g))+22*b^3*c*h^2*(20*a*f*h+9*b*(e*h+3*f*g))-48*b*c^2*h*(5*a^2*f*h^2+9*a*b*h*(e*h+3*f*g)+6*b^2*(d*h^2+3*e*g*h+3*f*g^2))+32*c^3*(3*a^2*h^2*(e*h+3*f*g)+14*b^2*g*(f*g^2+3*h*(d*h+e*g))+12*a*b*h*(3*f*g^2+h*(d*h+3*e*g))))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^7+1/12288*(1536*c^5*d*g^3-143*b^5*f*h^3-256*c^4*g*(a*f*g^2+3*a*h*(d*h+e*g)+3*b*g*(3*d*h+e*g))+22*b^3*c*h^2*(20*a*f*h+9*b*(e*h+3*f*g))-48*b*c^2*h*(5*a^2*f*h^2+9*a*b*h*(e*h+3*f*g)+6*b^2*(d*h^2+3*e*g*h+3*f*g^2))+32*c^3*(3*a^2*h^2*(e*h+3*f*g)+14*b^2*g*(f*g^2+3*h*(d*h+e*g))+12*a*b*h*(3*f*g^2+h*(d*h+3*e*g))))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^6+1/2016*(143*b^2*f*h/c+12*c*(9*e*g-5*f*g^2/h+24*d*h)-128*a*f*h-198*b*e*h-48*b*f*g)*(h*x+g)^2*(c*x^2+b*x+a)^(5/2)/c^2+1/144*(18*c*e-13*b*f-10*c*f*g/h)*(h*x+g)^3*(c*x^2+b*x+a)^(5/2)/c^2+1/9*f*(h*x+g)^4*(c*x^2+b*x+a)^(5/2)/c/h+1/80640*(3003*b^4*f*h^3-192*c^4*(5*f*g^4-3*g^2*h*(64*d*h+3*e*g))/h-198*b^2*c*h^2*(38*a*f*h+21*b*(e*h+3*f*g))+8*c^2*h*(256*a^2*f*h^2+837*a*b*h*(e*h+3*f*g)+b^2*(1553*f*g^2+756*h*(d*h+3*e*g)))-16*c^3*(32*a*h*(17*f*g^2+9*h*(d*h+3*e*g))+b*g*(13*f*g^2+9*h*(196*d*h+141*e*g)))-10*c*(429*b^3*f*h^3-22*b*c*h^2*(34*a*f*h+27*b*e*h+29*b*f*g)+16*c^3*(5*f*g^3-9*g*h*(12*d*h+e*g))+8*c^2*h*(a*h*(63*e*h+61*f*g)+3*b*(f*g^2+6*h*(6*d*h+7*e*g))))*x)*(c*x^2+b*x+a)^(5/2)/c^5+1/65536*(-4*a*c+b^2)^2*(1536*c^5*d*g^3-143*b^5*f*h^3-256*c^4*g*(a*f*g^2+3*a*h*(d*h+e*g)+3*b*g*(3*d*h+e*g))+22*b^3*c*h^2*(20*a*f*h+9*b*(e*h+3*f*g))-48*b*c^2*h*(5*a^2*f*h^2+9*a*b*h*(e*h+3*f*g)+6*b^2*(d*h^2+3*e*g*h+3*f*g^2))+32*c^3*(3*a^2*h^2*(e*h+3*f*g)+14*b^2*g*(f*g^2+3*h*(d*h+e*g))+12*a*b*h*(3*f*g^2+h*(d*h+3*e*g))))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(15/2),1],
[(h*x+g)^2*(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x,7,-1/16384*(-4*a*c+b^2)*(768*c^4*d*g^2+99*b^4*f*h^2-72*b^2*c*h*(3*a*f*h+2*b*e*h+4*b*f*g)-128*c^3*(a*f*g^2+a*h*(d*h+2*e*g)+3*b*g*(2*d*h+e*g))+16*c^2*(3*a^2*f*h^2+12*a*b*h*(e*h+2*f*g)+14*b^2*(f*g^2+h*(d*h+2*e*g))))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6+1/6144*(768*c^4*d*g^2+99*b^4*f*h^2-72*b^2*c*h*(3*a*f*h+2*b*e*h+4*b*f*g)-128*c^3*(a*f*g^2+a*h*(d*h+2*e*g)+3*b*g*(2*d*h+e*g))+16*c^2*(3*a^2*f*h^2+12*a*b*h*(e*h+2*f*g)+14*b^2*(f*g^2+h*(d*h+2*e*g))))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^5+1/112*(16*c*e-11*b*f-10*c*f*g/h)*(h*x+g)^2*(c*x^2+b*x+a)^(5/2)/c^2+1/8*f*(h*x+g)^3*(c*x^2+b*x+a)^(5/2)/c/h-1/13440*(693*b^3*f*h^2+96*c^3*(5*f*g^3-8*g*h*(7*d*h+e*g))/h-36*b*c*h*(31*a*f*h+28*b*(e*h+2*f*g))+8*c^2*(31*b*f*g^2+196*b*h*(d*h+2*e*g)+96*a*h*(e*h+2*f*g))-10*c*(99*b^2*f*h^2-8*c^2*(5*f*g^2-4*h*(7*d*h+2*e*g))-12*c*h*(7*a*f*h+2*b*(6*e*h+f*g)))*x)*(c*x^2+b*x+a)^(5/2)/c^4+1/32768*(-4*a*c+b^2)^2*(768*c^4*d*g^2+99*b^4*f*h^2-72*b^2*c*h*(3*a*f*h+2*b*e*h+4*b*f*g)-128*c^3*(a*f*g^2+a*h*(d*h+2*e*g)+3*b*g*(2*d*h+e*g))+16*c^2*(3*a^2*f*h^2+12*a*b*h*(e*h+2*f*g)+14*b^2*(f*g^2+h*(d*h+2*e*g))))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[(h*x+g)*(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x,6,-1/1024*(-4*a*c+b^2)*(48*c^3*d*g-9*b^3*f*h-8*c^2*(a*e*h+a*f*g+3*b*d*h+3*b*e*g)+2*b*c*(6*a*f*h+7*b*(e*h+f*g)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/384*(48*c^3*d*g-9*b^3*f*h-8*c^2*(a*e*h+a*f*g+3*b*d*h+3*b*e*g)+2*b*c*(6*a*f*h+7*b*(e*h+f*g)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+1/7*f*(h*x+g)^2*(c*x^2+b*x+a)^(5/2)/c/h+1/840*(63*b^2*f*h-48*a*c*f*h+24*c^2*(7*e*g-5*f*g^2/h+7*d*h)-98*b*c*(e*h+f*g)-10*c*(9*b*f*h-14*c*e*h+10*c*f*g)*x)*(c*x^2+b*x+a)^(5/2)/c^3+1/2048*(-4*a*c+b^2)^2*(48*c^3*d*g-9*b^3*f*h-8*c^2*(a*e*h+a*f*g+3*b*d*h+3*b*e*g)+2*b*c*(6*a*f*h+7*b*(e*h+f*g)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x,6,-1/512*(-4*a*c+b^2)*(24*c^2*d+7*b^2*f-4*c*(a*f+3*b*e))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/192*(-4*a*c*f+7*b^2*f-12*b*c*e+24*c^2*d)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3+1/60*(-7*b*f+12*c*e)*(c*x^2+b*x+a)^(5/2)/c^2+1/6*f*x*(c*x^2+b*x+a)^(5/2)/c+1/1024*(-4*a*c+b^2)^2*(24*c^2*d+7*b^2*f-4*c*(a*f+3*b*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g),x,8,1/128*(3*b^4*f*h^4+6*b^2*c*h^3*(-2*a*f*h-b*e*h+b*f*g)-32*c^3*h*(-4*a*h+5*b*g)*(f*g^2-h*(-d*h+e*g))+128*c^4*(f*g^4-g^2*h*(-d*h+e*g))-8*b*c^2*h^2*(3*a*h*(-e*h+f*g)-2*b*(d*h^2-e*g*h+f*g^2))+2*c*h^2*(8*c*(-b*h+2*c*g)*(b*f*g-2*c*d*h)-(b*f*h-2*c*e*h+2*c*f*g)*(16*c^2*g^2-3*b^2*h^2-4*c*h*(-3*a*h+2*b*g))/h)*x)*sqrt(c*x^2+b*x+a)/c^3/h^5-1/48*(3*b^2*f*h+16*c^2*(e*g-f*g^2/h-d*h)+6*b*c*(-e*h+f*g)+6*c*(b*f*h-2*c*e*h+2*c*f*g)*x)*(c*x^2+b*x+a)^(3/2)/c^2/h^2+1/5*f*(c*x^2+b*x+a)^(5/2)/c/h-1/256*(4*c*(-b*h+2*c*g)*(8*c*h*(-2*a*h+b*g)*(b*f*g-2*c*d*h)-g*(-4*a*c*h-3*b^2*h+8*b*c*g)*(b*f*h-2*c*e*h+2*c*f*g))+2*(1/2*(-4*a*c+b^2)*h^2-2*c*g*(-b*h+2*c*g))*(8*c*h*(-b*h+2*c*g)*(b*f*g-2*c*d*h)-(b*f*h-2*c*e*h+2*c*f*g)*(16*c^2*g^2-3*b^2*h^2-4*c*h*(-3*a*h+2*b*g)))/h)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2)/h^5+(a*h^2-b*g*h+c*g^2)^(3/2)*(f*g^2-h*(-d*h+e*g))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^6,1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^2,x,8,-1/64*(3*b^3*f*h^3+4*b*c*h^2*(-3*a*f*h-2*b*e*h+4*b*f*g)+64*c^3*(5*f*g^3-g*h*(-3*d*h+4*e*g))-16*c^2*h*(19*b*f*g^2-b*h*(-9*d*h+14*e*g)-4*a*h*(-e*h+2*f*g))+2*c*h*(3*b^2*f*h^2+4*c*h*(-3*a*f*h-2*b*e*h+4*b*f*g)-16*c^2*(5*f*g^2-h*(-3*d*h+4*e*g)))*x)*sqrt(c*x^2+b*x+a)/c^2/h^5-1/24*(3*b*f*h*(-a*h+b*g)+8*c^2*(5*f*g^3-g*h*(-3*d*h+4*e*g))/h-c*(43*b*f*g^2-8*b*h*(-3*d*h+4*e*g)-8*a*h*(-e*h+2*f*g))+6*c*h*(4*c*e*g+b*f*g-5*c*f*g^2/h-4*c*d*h-a*f*h)*x)*(c*x^2+b*x+a)^(3/2)/c/h^2/(a*h^2-b*g*h+c*g^2)-(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)+1/128*(3*b^4*f*h^4+8*b^2*c*h^3*(-3*a*f*h-b*e*h+2*b*f*g)+128*c^4*(5*f*g^4-g^2*h*(-3*d*h+4*e*g))+48*c^2*h^2*(a^2*f*h^2-2*a*b*h*(-e*h+2*f*g)+b^2*(d*h^2-2*e*g*h+3*f*g^2))+192*c^3*h*(a*h*(d*h^2-2*e*g*h+3*f*g^2)-b*g*(2*d*h^2-3*e*g*h+4*f*g^2)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/h^6-1/2*sqrt(a*h^2-b*g*h+c*g^2)*(2*c*(5*f*g^3-g*h*(-3*d*h+4*e*g))-h*(7*b*f*g^2-b*h*(-3*d*h+5*e*g)-2*a*h*(-e*h+2*f*g)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^6,1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^3,x,8,-1/8*(b^2*f*h^2*(-a*h+b*g)+8*c^3*g^2*(6*e*g-10*f*g^2/h-3*d*h)-2*c^2*(2*a*h*(3*d*h^2-9*e*g*h+19*f*g^2)-3*b*g*(5*d*h^2-12*e*g*h+22*f*g^2))-c*h*(8*a^2*f*h^2-18*a*b*h*(-e*h+3*f*g)+b^2*(53*f*g^2-6*h*(-d*h+4*e*g)))+2*c*(b*f*h^2*(-a*h+b*g)+2*c^2*(10*f*g^3-3*g*h*(-d*h+2*e*g))+c*h*(2*a*h*(-3*e*h+7*f*g)-3*b*(d*h^2-3*e*g*h+6*f*g^2)))*x)*sqrt(c*x^2+b*x+a)/c/h^4/(a*h^2-b*g*h+c*g^2)-1/12*(31*b*f*g^2+4*c*g*(6*e*g-10*f*g^2/h-3*d*h)-3*b*h*(-d*h+5*e*g)-4*a*h*(-3*e*h+7*f*g)+2*h*(3*c*e*g+2*b*f*g-5*c*f*g^2/h-3*c*d*h-2*a*f*h)*x)*(c*x^2+b*x+a)^(3/2)/h^2/(a*h^2-b*g*h+c*g^2)/(h*x+g)-1/2*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^2-1/16*(b^3*f*h^3+6*b*c*h^2*(-2*a*f*h-b*e*h+3*b*f*g)+16*c^3*(10*f*g^3-3*g*h*(-d*h+2*e*g))-24*c^2*h*(6*b*f*g^2-b*h*(-d*h+3*e*g)-a*h*(-e*h+3*f*g)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/h^6+1/8*(8*c^2*(10*f*g^4-3*g^2*h*(-d*h+2*e*g))-4*c*h*(28*b*f*g^3-3*b*g*h*(-2*d*h+5*e*g)-a*h*(3*d*h^2-9*e*g*h+19*f*g^2))+h^2*(8*a^2*f*h^2-4*a*b*h*(-3*e*h+10*f*g)+b^2*(35*f*g^2-3*h*(-d*h+5*e*g))))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^6/sqrt(a*h^2-b*g*h+c*g^2),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^4,x,8,-1/8*(12*a^2*f*h^3-8*c^2*g^2*(4*e*g-10*f*g^2/h-d*h)-6*a*b*h^2*(-e*h+7*f*g)+4*a*c*h*(23*f*g^2-2*h*(-d*h+4*e*g))-6*b*c*g*(18*f*g^2-h*(-d*h+6*e*g))+b^2*h*(29*f*g^2-h*(d*h+5*e*g))+2*(3*b*f*h^2*(-a*h+b*g)+2*c^2*(10*f*g^3-g*h*(-d*h+4*e*g))-c*h*(22*b*f*g^2-b*h*(-d*h+7*e*g)-6*a*h*(-e*h+3*f*g)))*x)*sqrt(c*x^2+b*x+a)/h^4/(a*h^2-b*g*h+c*g^2)/(h*x+g)-1/12*(17*b*f*g^2+2*c*g*(4*e*g-10*f*g^2/h-d*h)-b*h*(d*h+5*e*g)-6*a*h*(-e*h+3*f*g)+2*h*(2*c*e*g+3*b*f*g-5*c*f*g^2/h-2*c*d*h-3*a*f*h)*x)*(c*x^2+b*x+a)^(3/2)/h^2/(a*h^2-b*g*h+c*g^2)/(h*x+g)^2-1/3*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^3+1/8*(3*b^2*f*h^2-12*c*h*(-a*f*h-b*e*h+4*b*f*g)+8*c^2*(10*f*g^2-h*(-d*h+4*e*g)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/h^6-1/16*(16*c^3*(10*f*g^5-g^3*h*(-d*h+4*e*g))-b*h^3*(24*a^2*f*h^2-6*a*b*h*(-e*h+10*f*g)+b^2*(-d*h^2-5*e*g*h+35*f*g^2))+6*c*h^2*(4*a^2*h^2*(-e*h+4*f*g)+b^2*g*(d*h^2-10*e*g*h+35*f*g^2)-2*a*b*h*(d*h^2-7*e*g*h+25*f*g^2))-24*c^2*g*h*(b*g*(d*h^2-5*e*g*h+14*f*g^2)-a*h*(d*h^2-4*e*g*h+11*f*g^2)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^6/(a*h^2-b*g*h+c*g^2)^(3/2),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^5,x,9,1/2*(-3*b*f*h-2*c*e*h+10*c*f*g)*sqrt(c*x^2+b*x+a)/h^5/(h*x+g)+1/64*(16*c^2*g^3*(-e*h+5*f*g)+h^2*(48*a^2*f*h^2-8*a*b*h*(-e*h+14*f*g)+b^2*(-3*d*h^2-5*e*g*h+61*f*g^2))-4*c*h*(6*b*g^2*(-e*h+6*f*g)-a*h*(3*d*h^2-7*e*g*h+35*f*g^2)))*(b*g-2*a*h+(-b*h+2*c*g)*x)*sqrt(c*x^2+b*x+a)/h^4/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^2+1/24*(8*c*g^2*(-e*h+5*f*g)/h+8*a*h*(-e*h+5*f*g)-b*(-3*d*h^2-5*e*g*h+37*f*g^2)-6*h*(c*e*g+4*b*f*g-5*c*f*g^2/h-c*d*h-4*a*f*h)*x)*(c*x^2+b*x+a)^(3/2)/h^2/(a*h^2-b*g*h+c*g^2)/(h*x+g)^3-1/4*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^4-1/2*sqrt(c)*(-3*b*f*h-2*c*e*h+10*c*f*g)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/h^6+1/128*(128*c^4*g^5*(-e*h+5*f*g)-64*c^3*g^3*h*(b*g*(-5*e*h+28*f*g)-5*a*h*(-e*h+5*f*g))+8*c*h^3*(24*a^3*f*h^3-12*a^2*b*h^2*(-e*h+10*f*g)-5*b^3*g^2*(-e*h+14*f*g)+3*a*b^2*h*(-d*h^2-5*e*g*h+55*f*g^2))-48*c^2*h^2*(10*a*b*g^2*h*(-e*h+6*f*g)-5*b^2*g^3*(-e*h+7*f*g)-a^2*h^2*(d*h^2-5*e*g*h+25*f*g^2))+b^2*h^4*(48*a^2*f*h^2-8*a*b*h*(e*h+10*f*g)+b^2*(3*d*h^2+5*e*g*h+35*f*g^2)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^6/(a*h^2-b*g*h+c*g^2)^(5/2),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^6,x,10,-c*f*sqrt(c*x^2+b*x+a)/h^5/(h*x+g)-1/128*(32*c^3*f*g^5-8*c^2*g*h*(3*a*d*h^3-11*a*f*g^2*h+10*b*f*g^3)+2*c*h^2*(4*a^2*h^2*(-3*e*h+10*f*g)-6*a*b*h*(-d*h^2-e*g*h+11*f*g^2)+b^2*(3*d*g*h^2+29*f*g^3))-b*h^3*(16*a^2*f*h^2-2*a*b*h*(3*e*h+10*f*g)+b^2*(7*f*g^2+3*h*(d*h+e*g))))*(b*g-2*a*h+(-b*h+2*c*g)*x)*sqrt(c*x^2+b*x+a)/h^4/(a*h^2-b*g*h+c*g^2)^3/(h*x+g)^2-1/3*f*(c*x^2+b*x+a)^(3/2)/h^3/(h*x+g)^3-1/16*(2*c*(-d*g*h^2+f*g^3)-h*(3*b*f*g^2-b*h*(d*h+e*g)-2*a*h*(-e*h+2*f*g)))*(b*g-2*a*h+(-b*h+2*c*g)*x)*(c*x^2+b*x+a)^(3/2)/h^2/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^4-1/5*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^5+c^(3/2)*f*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/h^6-1/256*(256*c^5*f*g^7-896*c^4*f*g^5*h*(-a*h+b*g)+32*c^3*g*h^2*(35*b^2*f*g^4-70*a*b*f*g^3*h+a^2*h^2*(-3*d*h^2+35*f*g^2))-16*c^2*h^3*(35*b^3*f*g^4-6*a^3*h^3*(-e*h+6*f*g)+3*a^2*b*h^2*(-d*h^2-e*g*h+35*f*g^2)-3*a*b^2*g*h*(d*h^2+35*f*g^2))+b^3*h^5*(16*a^2*f*h^2-2*a*b*h*(3*e*h+10*f*g)+b^2*(7*f*g^2+3*h*(d*h+e*g)))-2*b*c*h^4*(96*a^3*f*h^3-24*a^2*b*h^2*(e*h+8*f*g)-b^3*(-3*d*g*h^2+35*f*g^3)+4*a*b^2*h*(35*f*g^2+3*h*(d*h+e*g))))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^6/(a*h^2-b*g*h+c*g^2)^(7/2),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^7,x,6,-1/512*(-4*a*c+b^2)*(24*c^2*d*g^2+24*a^2*f*h^2-12*a*b*h*(e*h+2*f*g)-4*c*(a*f*g^2-a*h*(-d*h+7*e*g)+3*b*g*(2*d*h+e*g))+b^2*(7*f*g^2+h*(7*d*h+5*e*g)))*(b*g-2*a*h+(-b*h+2*c*g)*x)*sqrt(c*x^2+b*x+a)/(a*h^2-b*g*h+c*g^2)^4/(h*x+g)^2+1/192*(24*c^2*d*g^2+24*a^2*f*h^2-12*a*b*h*(e*h+2*f*g)-4*c*(a*f*g^2-a*h*(-d*h+7*e*g)+3*b*g*(2*d*h+e*g))+b^2*(7*f*g^2+h*(7*d*h+5*e*g)))*(b*g-2*a*h+(-b*h+2*c*g)*x)*(c*x^2+b*x+a)^(3/2)/(a*h^2-b*g*h+c*g^2)^3/(h*x+g)^4-1/6*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^6+1/60*(2*c*(5*f*g^3+g*h*(-7*d*h+e*g))-h*(17*b*f*g^2-b*h*(7*d*h+5*e*g)-12*a*h*(-e*h+2*f*g)))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^5+1/1024*(-4*a*c+b^2)^2*(24*c^2*d*g^2+24*a^2*f*h^2-12*a*b*h*(e*h+2*f*g)-4*c*(a*f*g^2-a*h*(-d*h+7*e*g)+3*b*g*(2*d*h+e*g))+b^2*(7*f*g^2+h*(7*d*h+5*e*g)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(9/2),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^8,x,7,-1/1024*(-4*a*c+b^2)*(48*c^3*d*g^3-8*c^2*g*(a*f*g^2-a*h*(-3*d*h+8*e*g)+3*b*g*(3*d*h+e*g))-b*h*(24*a^2*f*h^2-2*a*b*h*(7*e*h+10*f*g)+b^2*(5*f*g^2+h*(9*d*h+5*e*g)))+2*c*(4*a^2*h^2*(-e*h+8*f*g)-2*a*b*h*(13*f*g^2+h*(-3*d*h+13*e*g))+b^2*(7*f*g^3+g*h*(21*d*h+10*e*g))))*(b*g-2*a*h+(-b*h+2*c*g)*x)*sqrt(c*x^2+b*x+a)/(a*h^2-b*g*h+c*g^2)^5/(h*x+g)^2+1/384*(48*c^3*d*g^3-8*c^2*g*(a*f*g^2-a*h*(-3*d*h+8*e*g)+3*b*g*(3*d*h+e*g))-b*h*(24*a^2*f*h^2-2*a*b*h*(7*e*h+10*f*g)+b^2*(5*f*g^2+h*(9*d*h+5*e*g)))+2*c*(4*a^2*h^2*(-e*h+8*f*g)-2*a*b*h*(13*f*g^2+h*(-3*d*h+13*e*g))+b^2*(7*f*g^3+g*h*(21*d*h+10*e*g))))*(b*g-2*a*h+(-b*h+2*c*g)*x)*(c*x^2+b*x+a)^(3/2)/(a*h^2-b*g*h+c*g^2)^4/(h*x+g)^4-1/7*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^7+1/84*(2*c*(5*f*g^3+g*h*(-9*d*h+2*e*g))-h*(19*b*f*g^2-b*h*(9*d*h+5*e*g)-14*a*h*(-e*h+2*f*g)))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^6+1/840*(4*c^2*(5*f*g^4+g^2*h*(-51*d*h+2*e*g))-7*h^2*(24*a^2*f*h^2-2*a*b*h*(7*e*h+10*f*g)+b^2*(9*d*h^2+5*e*g*h+5*f*g^2))-2*c*h*(3*b*g*(-34*d*h^2-15*e*g*h+8*f*g^2)-2*a*h*(12*d*h^2-61*e*g*h+26*f*g^2)))*(c*x^2+b*x+a)^(5/2)/h/(a*h^2-b*g*h+c*g^2)^3/(h*x+g)^5+1/2048*(-4*a*c+b^2)^2*(48*c^3*d*g^3-8*c^2*g*(a*f*g^2-a*h*(-3*d*h+8*e*g)+3*b*g*(3*d*h+e*g))-b*h*(24*a^2*f*h^2-2*a*b*h*(7*e*h+10*f*g)+b^2*(5*f*g^2+h*(9*d*h+5*e*g)))+2*c*(4*a^2*h^2*(-e*h+8*f*g)-2*a*b*h*(13*f*g^2+h*(-3*d*h+13*e*g))+b^2*(7*f*g^3+g*h*(21*d*h+10*e*g))))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(11/2),1],
[(1+2*x)^3*sqrt(3*x^2-x+2)*(4*x^2+3*x+1),x,7,5393/15552*(1-6*x)*sqrt(3*x^2-x+2)+17/105*(1+2*x)^2*(3*x^2-x+2)^(3/2)+67/378*(1+2*x)^3*(3*x^2-x+2)^(3/2)+2/21*(1+2*x)^4*(3*x^2-x+2)^(3/2)-1/68040*(75295+26982*x)*(3*x^2-x+2)^(3/2)+124039/31104*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)^2*sqrt(3*x^2-x+2)*(4*x^2+3*x+1),x,6,235/1296*(1-6*x)*sqrt(3*x^2-x+2)+1/5*(1+2*x)^2*(3*x^2-x+2)^(3/2)+1/9*(1+2*x)^3*(3*x^2-x+2)^(3/2)+1/810*(25+306*x)*(3*x^2-x+2)^(3/2)+5405/2592*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)*sqrt(3*x^2-x+2)*(4*x^2+3*x+1),x,5,19/2592*(1-6*x)*sqrt(3*x^2-x+2)+2/15*(1+2*x)^2*(3*x^2-x+2)^(3/2)+1/1620*(745+738*x)*(3*x^2-x+2)^(3/2)+437/5184*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[sqrt(3*x^2-x+2)*(4*x^2+3*x+1)/(1+2*x),x,7,1/72*(13+30*x)*sqrt(3*x^2-x+2)+2/9*(3*x^2-x+2)^(3/2)-43/144*arcsinh((1-6*x)/sqrt(23))/sqrt(3)-1/8*sqrt(13)*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2)),1],
[sqrt(3*x^2-x+2)*(4*x^2+3*x+1)/(1+2*x)^2,x,7,-1/156*(67-96*x)*sqrt(3*x^2-x+2)-(3*x^2-x+2)^(3/2)/(13+26*x)-11/6*arcsinh((1-6*x)/sqrt(23))/sqrt(3)+17/8*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[sqrt(3*x^2-x+2)*(4*x^2+3*x+1)/(1+2*x)^3,x,7,11*(7+10*x)*sqrt(3*x^2-x+2)/(104+208*x)-1/26*(3*x^2-x+2)^(3/2)/(1+2*x)^2+11/8*arcsinh((1-6*x)/sqrt(23))/sqrt(3)-803/208*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(1+2*x)^3*(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1),x,9,1255639/4478976*(1-6*x)*sqrt(3*x^2-x+2)+54593/559872*(1-6*x)*(3*x^2-x+2)^(3/2)-11/58320*(283-5850*x)*(3*x^2-x+2)^(5/2)+913/486*x^2*(3*x^2-x+2)^(5/2)+77/81*x^3*(3*x^2-x+2)^(5/2)+2/27*(1+2*x)^4*(3*x^2-x+2)^(5/2)+28879697/8957952*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)^2*(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1),x,7,2093/27648*(1-6*x)*sqrt(3*x^2-x+2)+91/3456*(1-6*x)*(3*x^2-x+2)^(3/2)+8/63*(1+2*x)^2*(3*x^2-x+2)^(5/2)+1/12*(1+2*x)^3*(3*x^2-x+2)^(5/2)+13/2520*(29+50*x)*(3*x^2-x+2)^(5/2)+48139/55296*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)*(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1),x,6,-1633/20736*(1-6*x)*sqrt(3*x^2-x+2)-71/2592*(1-6*x)*(3*x^2-x+2)^(3/2)+2/21*(1+2*x)^2*(3*x^2-x+2)^(5/2)+1/378*(109+102*x)*(3*x^2-x+2)^(5/2)-37559/41472*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1)/(1+2*x),x,8,1/1152*(869+402*x)*sqrt(3*x^2-x+2)+1/144*(7+30*x)*(3*x^2-x+2)^(3/2)+2/15*(3*x^2-x+2)^(5/2)+2203/2304*arcsinh((1-6*x)/sqrt(23))/sqrt(3)-13/32*sqrt(13)*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2)),1],
[(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1)/(1+2*x)^2,x,8,-1/192*(349-294*x)*sqrt(3*x^2-x+2)-1/104*(23-38*x)*(3*x^2-x+2)^(3/2)-(3*x^2-x+2)^(5/2)/(13+26*x)-2327/384*arcsinh((1-6*x)/sqrt(23))/sqrt(3)+25/32*sqrt(13)*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2)),1],
[(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1)/(1+2*x)^3,x,8,1/624*(1858-771*x)*sqrt(3*x^2-x+2)+(151+122*x)*(3*x^2-x+2)^(3/2)/(312+624*x)-1/26*(3*x^2-x+2)^(5/2)/(1+2*x)^2+1519/192*arcsinh((1-6*x)/sqrt(23))/sqrt(3)-1153/64*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(1+2*x)^3*(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1),x,9,2692081/11943936*(1-6*x)*sqrt(3*x^2-x+2)+117047/1492992*(1-6*x)*(3*x^2-x+2)^(3/2)+5089/155520*(1-6*x)*(3*x^2-x+2)^(5/2)-1/498960*(26353-21350*x)*(3*x^2-x+2)^(7/2)+133/1485*(1+2*x)^2*(3*x^2-x+2)^(7/2)+29/330*(1+2*x)^3*(3*x^2-x+2)^(7/2)+2/33*(1+2*x)^4*(3*x^2-x+2)^(7/2)+61917863/23887872*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)^2*(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1),x,8,-154997/4478976*(1-6*x)*sqrt(3*x^2-x+2)-6739/559872*(1-6*x)*(3*x^2-x+2)^(3/2)-293/58320*(1-6*x)*(3*x^2-x+2)^(5/2)+37/405*(1+2*x)^2*(3*x^2-x+2)^(7/2)+1/15*(1+2*x)^3*(3*x^2-x+2)^(7/2)+1/17010*(2731+3430*x)*(3*x^2-x+2)^(7/2)-3564931/8957952*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)*(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1),x,7,-1177025/5971968*(1-6*x)*sqrt(3*x^2-x+2)-51175/746496*(1-6*x)*(3*x^2-x+2)^(3/2)-445/15552*(1-6*x)*(3*x^2-x+2)^(5/2)+2/27*(1+2*x)^2*(3*x^2-x+2)^(7/2)+1/648*(137+122*x)*(3*x^2-x+2)^(7/2)-27071575/11943936*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1)/(1+2*x),x,9,1/82944*(221999-17850*x)*sqrt(3*x^2-x+2)+1/10368*(2449+2154*x)*(3*x^2-x+2)^(3/2)+1/1080*(29+150*x)*(3*x^2-x+2)^(5/2)+2/21*(3*x^2-x+2)^(7/2)+944521/165888*arcsinh((1-6*x)/sqrt(23))/sqrt(3)-169/128*sqrt(13)*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2)),1],
[(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1)/(1+2*x)^2,x,9,-11/6912*(4727-3090*x)*sqrt(3*x^2-x+2)-11/864*(67-78*x)*(3*x^2-x+2)^(3/2)-11/2340*(37-60*x)*(3*x^2-x+2)^(5/2)-(3*x^2-x+2)^(7/2)/(13+26*x)-315623/13824*arcsinh((1-6*x)/sqrt(23))/sqrt(3)+429/128*sqrt(13)*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2)),1],
[(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1)/(1+2*x)^3,x,9,1/1536*(21317-10470*x)*sqrt(3*x^2-x+2)+1/832*(1227-838*x)*(3*x^2-x+2)^(3/2)+(257+134*x)*(3*x^2-x+2)^(5/2)/(520+1040*x)-1/26*(3*x^2-x+2)^(7/2)/(1+2*x)^2+118423/3072*arcsinh((1-6*x)/sqrt(23))/sqrt(3)-1631/256*sqrt(13)*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2)),1],
[(h*x+g)^3*(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,6,1/240*(60*c*e*g-48*b*f*g-12*c*f*g^2/h+80*c*d*h-70*b*e*h-64*a*f*h+63*b^2*f*h/c)*(h*x+g)^2*sqrt(c*x^2+b*x+a)/c^2+1/40*(10*c*e-9*b*f-2*c*f*g/h)*(h*x+g)^3*sqrt(c*x^2+b*x+a)/c^2+1/5*f*(h*x+g)^4*sqrt(c*x^2+b*x+a)/c/h+1/1920*(945*b^4*f*h^3-64*c^4*(3*f*g^4-5*g^2*h*(16*d*h+3*e*g))/h-210*b^2*c*h^2*(14*a*f*h+5*b*(e*h+3*f*g))+8*c^2*h*(128*a^2*f*h^2+275*a*b*h*(e*h+3*f*g)+3*b^2*(129*f*g^2+50*h*(d*h+3*e*g)))-16*c^3*(16*a*h*(13*f*g^2+5*h*(d*h+3*e*g))+b*g*(39*f*g^2+5*h*(54*d*h+47*e*g)))-2*c*(315*b^3*f*h^3-14*b*c*h^2*(46*a*f*h+25*b*e*h+39*b*f*g)+16*c^3*(3*f*g^3-5*g*h*(10*d*h+3*e*g))+8*c^2*h*(21*b*f*g^2+10*b*h*(5*d*h+8*e*g)+a*h*(45*e*h+71*f*g)))*x)*sqrt(c*x^2+b*x+a)/c^5+1/256*(256*c^5*d*g^3-63*b^5*f*h^3+70*b^3*c*h^2*(4*a*f*h+b*e*h+3*b*f*g)-128*c^4*g*(a*f*g^2+3*a*h*(d*h+e*g)+b*g*(3*d*h+e*g))-80*b*c^2*h*(3*a^2*f*h^2+3*a*b*h*(e*h+3*f*g)+b^2*(d*h^2+3*e*g*h+3*f*g^2))+96*c^3*(a^2*h^2*(e*h+3*f*g)+b^2*g*(f*g^2+3*h*(d*h+e*g))+2*a*b*h*(3*f*g^2+h*(d*h+3*e*g))))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(h*x+g)^2*(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,5,1/24*(8*c*e-7*b*f-2*c*f*g/h)*(h*x+g)^2*sqrt(c*x^2+b*x+a)/c^2+1/4*f*(h*x+g)^3*sqrt(c*x^2+b*x+a)/c/h-1/192*(105*b^3*f*h^2+32*c^3*(f*g^3-4*g*h*(3*d*h+e*g))/h-20*b*c*h*(11*a*f*h+6*b*(e*h+2*f*g))+8*c^2*(11*b*f*g^2+18*b*h*(d*h+2*e*g)+16*a*h*(e*h+2*f*g))-2*c*(35*b^2*f*h^2-4*c*h*(9*a*f*h+10*b*e*h+6*b*f*g)-8*c^2*(f*g^2-2*h*(3*d*h+2*e*g)))*x)*sqrt(c*x^2+b*x+a)/c^4+1/128*(128*c^4*d*g^2+35*b^4*f*h^2-40*b^2*c*h*(3*a*f*h+b*e*h+2*b*f*g)-64*c^3*(a*f*g^2+a*h*(d*h+2*e*g)+b*g*(2*d*h+e*g))+48*c^2*(a^2*f*h^2+2*a*b*h*(e*h+2*f*g)+b^2*(f*g^2+h*(d*h+2*e*g))))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(h*x+g)*(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,4,1/3*f*(h*x+g)^2*sqrt(c*x^2+b*x+a)/c/h+1/24*(15*b^2*f*h+c^2*(24*e*g-8*f*g^2/h+24*d*h)-2*c*(8*a*f*h+9*b*(e*h+f*g))-2*c*(5*b*f*h-6*c*e*h+2*c*f*g)*x)*sqrt(c*x^2+b*x+a)/c^3+1/16*(16*c^3*d*g-5*b^3*f*h-8*c^2*(a*e*h+a*f*g+b*d*h+b*e*g)+6*b*c*(2*a*f*h+b*e*h+b*f*g))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,4,1/4*(-3*b*f+4*c*e)*sqrt(c*x^2+b*x+a)/c^2+1/2*f*x*sqrt(c*x^2+b*x+a)/c+1/8*(8*c^2*d+3*b^2*f-4*c*(a*f+b*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(f*x^2+e*x+d)/(h*x+g)/sqrt(c*x^2+b*x+a),x,6,f*sqrt(c*x^2+b*x+a)/c/h-1/2*(b*f*h-2*c*e*h+2*c*f*g)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/h^2+(f*g^2-h*(-d*h+e*g))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^2/sqrt(a*h^2-b*g*h+c*g^2),1],
[(f*x^2+e*x+d)/(h*x+g)^2/sqrt(c*x^2+b*x+a),x,6,-(f*g^2-h*(-d*h+e*g))*sqrt(c*x^2+b*x+a)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)+f*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/h^2-1/2*(2*c*(-d*g*h^2+f*g^3)-h*(3*b*f*g^2-b*h*(d*h+e*g)-2*a*h*(-e*h+2*f*g)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/h^2/(a*h^2-b*g*h+c*g^2)^(3/2),1],
[(f*x^2+e*x+d)/(h*x+g)^3/sqrt(c*x^2+b*x+a),x,4,-1/2*(f*g^2-h*(-d*h+e*g))*sqrt(c*x^2+b*x+a)/h/(a*h^2-b*g*h+c*g^2)/(h*x+g)^2+1/4*(2*c*(f*g^3+g*h*(-3*d*h+e*g))-h*(5*b*f*g^2-b*h*(3*d*h+e*g)-4*a*h*(-e*h+2*f*g)))*sqrt(c*x^2+b*x+a)/h/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)+1/8*(8*c^2*d*g^2+8*a^2*f*h^2-4*a*b*h*(e*h+2*f*g)-4*c*(a*f*g^2-a*h*(-d*h+3*e*g)+b*g*(2*d*h+e*g))+b^2*(3*f*g^2+h*(3*d*h+e*g)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(5/2),1],
[(h*x+g)^3*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x,6,2*(a*b^4*f*h^3-a*b^3*c*h^2*(e*h+3*f*g)-a*b^2*c*h*(4*a*f*h^2-c*(d*h^2+3*e*g*h+3*f*g^2))+2*a*c^2*(a^2*f*h^3+c^2*g^2*(3*d*h+e*g)-a*c*h*(d*h^2+3*e*g*h+3*f*g^2))-b*c^2*(c^2*d*g^3-3*a^2*h^2*(e*h+3*f*g)+a*c*g*(f*g^2+3*h*(d*h+e*g)))-(2*c^5*d*g^3-b^5*f*h^3+b^3*c*h^2*(5*a*f*h+b*e*h+3*b*f*g)-c^4*g*(2*a*f*g^2+6*a*h*(d*h+e*g)+b*g*(3*d*h+e*g))-b*c^2*h*(5*a^2*f*h^2+4*a*b*h*(e*h+3*f*g)+b^2*(d*h^2+3*e*g*h+3*f*g^2))+c^3*(2*a^2*h^2*(e*h+3*f*g)+b^2*g*(f*g^2+3*h*(d*h+e*g))+3*a*b*h*(3*f*g^2+h*(d*h+3*e*g))))*x)/c^4/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+1/24*h*(57*b^2*f*h^2+24*c^2*(3*f*g^2+h*(d*h+3*e*g))-2*c*h*(20*a*f*h+21*b*(e*h+3*f*g)))*sqrt(c*x^2+b*x+a)/c^4+1/12*h^2*(-11*b*f*h+6*c*e*h+18*c*f*g)*x*sqrt(c*x^2+b*x+a)/c^3+1/3*f*h^3*x^2*sqrt(c*x^2+b*x+a)/c^2-1/16*(35*b^3*f*h^3-30*b*c*h^2*(2*a*f*h+b*e*h+3*b*f*g)-16*c^3*(f*g^3+3*g*h*(d*h+e*g))+24*c^2*h*(3*b*f*g^2+b*h*(d*h+3*e*g)+a*h*(e*h+3*f*g)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(h*x+g)^2*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x,5,(-2*a*b^3*f*h^2+2*a*b^2*c*h*(e*h+2*f*g)+4*a*c^2*(c*g*(2*d*h+e*g)-a*h*(e*h+2*f*g))-2*b*c*(c^2*d*g^2-3*a^2*f*h^2+a*c*(d*h^2+2*e*g*h+f*g^2))-2*(2*c^4*d*g^2+b^4*f*h^2-b^2*c*h*(4*a*f*h+b*e*h+2*b*f*g)-c^3*(b*g*(2*d*h+e*g)+2*a*(d*h^2+2*e*g*h+f*g^2))+c^2*(2*a^2*f*h^2+3*a*b*h*(e*h+2*f*g)+b^2*(d*h^2+2*e*g*h+f*g^2)))*x)/c^3/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+1/4*h*(-7*b*f*h+4*c*e*h+8*c*f*g)*sqrt(c*x^2+b*x+a)/c^3+1/2*f*h^2*x*sqrt(c*x^2+b*x+a)/c^2+1/8*(15*b^2*f*h^2-12*c*h*(a*f*h+b*e*h+2*b*f*g)+8*c^2*(f*g^2+h*(d*h+2*e*g)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(h*x+g)*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x,4,2*(a*b^2*f*h-b*c*(a*e*h+a*f*g+c*d*g)-2*a*c*(a*f*h-c*(d*h+e*g))-(2*c^3*d*g-b^3*f*h-c^2*(2*a*e*h+2*a*f*g+b*d*h+b*e*g)+b*c*(3*a*f*h+b*e*h+b*f*g))*x)/c^2/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+f*h*sqrt(c*x^2+b*x+a)/c^2-1/2*(3*b*f*h-2*c*(e*h+f*g))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x,3,2*(2*a*c*e-b*(a*f+c*d)-(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*x)/c/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+f*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(f*x^2+e*x+d)/(h*x+g)/(c*x^2+b*x+a)^(3/2),x,4,2*(b^2*d*h-b*(a*e*h+a*f*g+c*d*g)+2*a*(a*f*h-c*d*h+c*e*g)+((-b*f+c*e)*(-2*a*h+b*g)-(-a*f+c*d)*(-b*h+2*c*g))*x)/(-4*a*c+b^2)/(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a)+(f*g^2-h*(-d*h+e*g))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(3/2),1],
[(f*x^2+e*x+d)/(h*x+g)^2/(c*x^2+b*x+a)^(3/2),x,4,2*(b^2*d*h-b*(a*e*h+a*f*g+c*d*g)+2*a*(a*f*h-c*d*h+c*e*g)+((-b*f+c*e)*(-2*a*h+b*g)-(-a*f+c*d)*(-b*h+2*c*g))*x)/(-4*a*c+b^2)/(a*h^2-b*g*h+c*g^2)/(h*x+g)/sqrt(c*x^2+b*x+a)-h*(4*c^2*d*g^2+4*a^2*f*h^2-2*b*c*g*(2*d*h+e*g)-2*a*b*h*(e*h+2*f*g)+b^2*(3*f*g^2-h*(-3*d*h+e*g))-4*a*c*(2*f*g^2-h*(-2*d*h+3*e*g)))*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)+1/2*(2*c*(f*g^3-g*h*(-3*d*h+2*e*g))+h*(b*f*g^2+b*h*(-3*d*h+e*g)-2*a*h*(-e*h+2*f*g)))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(5/2),1],
[(f*x^2+e*x+d)/(h*x+g)^3/(c*x^2+b*x+a)^(3/2),x,5,2*(b^2*d*h-b*(a*e*h+a*f*g+c*d*g)+2*a*(a*f*h-c*d*h+c*e*g)+((-b*f+c*e)*(-2*a*h+b*g)-(-a*f+c*d)*(-b*h+2*c*g))*x)/(-4*a*c+b^2)/(a*h^2-b*g*h+c*g^2)/(h*x+g)^2/sqrt(c*x^2+b*x+a)-1/2*h*(8*c^2*d*g^2+8*a^2*f*h^2-4*a*b*h*(e*h+2*f*g)+b^2*(5*f*g^2-h*(-5*d*h+e*g))-4*c*(3*a*f*g^2-a*h*(-3*d*h+5*e*g)+b*g*(2*d*h+e*g)))*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/(a*h^2-b*g*h+c*g^2)^2/(h*x+g)^2-1/4*h*(16*c^3*d*g^3-8*c^2*g*(5*a*f*g^2-a*h*(-13*d*h+11*e*g)+b*g*(3*d*h+e*g))+2*c*(8*a^2*h^2*(-2*e*h+5*f*g)+b^2*(7*f*g^3-g*h*(-19*d*h+5*e*g))-2*a*b*h*(7*f*g^2+h*(-13*d*h+9*e*g)))-b*h*(8*a^2*f*h^2+4*a*b*h*(-3*e*h+2*f*g)-b^2*(f*g^2+3*h*(-5*d*h+e*g))))*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/(a*h^2-b*g*h+c*g^2)^3/(h*x+g)+1/8*(8*c^2*g^2*(6*d*h^2-3*e*g*h+f*g^2)+4*c*h*(2*b*f*g^3+3*b*g*h*(-4*d*h+e*g)-a*h*(3*d*h^2-9*e*g*h+11*f*g^2))+h^2*(8*a^2*f*h^2+4*a*b*h*(-3*e*h+2*f*g)-b^2*(f*g^2+3*h*(-5*d*h+e*g))))*arctanh(1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/sqrt(a*h^2-b*g*h+c*g^2)/sqrt(c*x^2+b*x+a))/(a*h^2-b*g*h+c*g^2)^(7/2),1],
[(1+2*x)^3*(4*x^2+3*x+1)/sqrt(3*x^2-x+2),x,6,44/135*(1+2*x)^2*sqrt(3*x^2-x+2)+19/60*(1+2*x)^3*sqrt(3*x^2-x+2)+2/15*(1+2*x)^4*sqrt(3*x^2-x+2)-1/3240*(24897+6298*x)*sqrt(3*x^2-x+2)+9211/1296*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)^2*(4*x^2+3*x+1)/sqrt(3*x^2-x+2),x,5,-143/324*(3-2*x)*sqrt(3*x^2-x+2)+11/27*(1+2*x)^2*sqrt(3*x^2-x+2)+1/6*(1+2*x)^3*sqrt(3*x^2-x+2)+4147/648*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)*(4*x^2+3*x+1)/sqrt(3*x^2-x+2),x,4,2/9*(1+2*x)^2*sqrt(3*x^2-x+2)+1/54*(69+62*x)*sqrt(3*x^2-x+2)+251/108*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(4*x^2+3*x+1)/(1+2*x)/sqrt(3*x^2-x+2),x,6,2/3*sqrt(3*x^2-x+2)-5/6*arcsinh((1-6*x)/sqrt(23))/sqrt(3)-1/2*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(4*x^2+3*x+1)/(1+2*x)^2/sqrt(3*x^2-x+2),x,6,-1/13*sqrt(3*x^2-x+2)/(1+2*x)-arcsinh((1-6*x)/sqrt(23))/sqrt(3)+9/26*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(4*x^2+3*x+1)/(1+2*x)^3/sqrt(3*x^2-x+2),x,4,-1/26*sqrt(3*x^2-x+2)/(1+2*x)^2+7*sqrt(3*x^2-x+2)/(169+338*x)-581/676*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(1+2*x)^3*(4*x^2+3*x+1)/(3*x^2-x+2)^(3/2),x,6,2/1863*(12839-3871*x)/sqrt(3*x^2-x+2)+746/81*sqrt(3*x^2-x+2)+412/81*x*sqrt(3*x^2-x+2)+32/27*x^2*sqrt(3*x^2-x+2)+353/81*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)^2*(4*x^2+3*x+1)/(3*x^2-x+2)^(3/2),x,5,2/621*(1249-2273*x)/sqrt(3*x^2-x+2)+112/27*sqrt(3*x^2-x+2)+8/9*x*sqrt(3*x^2-x+2)-64/9*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)*(4*x^2+3*x+1)/(3*x^2-x+2)^(3/2),x,4,1/207*(-146-734*x)/sqrt(3*x^2-x+2)+8/9*sqrt(3*x^2-x+2)-14/3*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(4*x^2+3*x+1)/(1+2*x)/(3*x^2-x+2)^(3/2),x,4,1/299*(-202+154*x)/sqrt(3*x^2-x+2)-2/13*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(4*x^2+3*x+1)/(1+2*x)^2/(3*x^2-x+2)^(3/2),x,4,1/3887*(-394+1674*x)/sqrt(3*x^2-x+2)-4*sqrt(3*x^2-x+2)/(169+338*x)+2/169*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(4*x^2+3*x+1)/(1+2*x)^3/(3*x^2-x+2)^(3/2),x,5,2/50531*(2363+3693*x)/sqrt(3*x^2-x+2)-2/169*sqrt(3*x^2-x+2)/(1+2*x)^2-4*sqrt(3*x^2-x+2)/(2197+4394*x)-487/2197*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(1+2*x)^3*(4*x^2+3*x+1)/(3*x^2-x+2)^(5/2),x,5,2/5589*(12839-3871*x)/(3*x^2-x+2)^(3/2)-28/128547*(35809+42240*x)/sqrt(3*x^2-x+2)+32/27*sqrt(3*x^2-x+2)-296/27*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)^2*(4*x^2+3*x+1)/(3*x^2-x+2)^(5/2),x,4,2/1863*(1249-2273*x)/(3*x^2-x+2)^(3/2)-8/42849*(23257-1473*x)/sqrt(3*x^2-x+2)-16/9*arcsinh((1-6*x)/sqrt(23))/sqrt(3),1],
[(1+2*x)*(4*x^2+3*x+1)/(3*x^2-x+2)^(5/2),x,2,1/621*(-146-734*x)/(3*x^2-x+2)^(3/2)-4/14283*(3889-4290*x)/sqrt(3*x^2-x+2),1],
[(4*x^2+3*x+1)/(1+2*x)/(3*x^2-x+2)^(5/2),x,5,1/897*(-202+154*x)/(3*x^2-x+2)^(3/2)-4/268203*(691-13668*x)/sqrt(3*x^2-x+2)-8/169*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(4*x^2+3*x+1)/(1+2*x)^2/(3*x^2-x+2)^(5/2),x,5,1/11661*(-394+1674*x)/(3*x^2-x+2)^(3/2)-24/1162213*(841-6633*x)/sqrt(3*x^2-x+2)-16*sqrt(3*x^2-x+2)/(2197+4394*x)-56/2197*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[(4*x^2+3*x+1)/(1+2*x)^3/(3*x^2-x+2)^(5/2),x,6,2/151593*(2363+3693*x)/(3*x^2-x+2)^(3/2)+12/15108769*(25771+103526*x)/sqrt(3*x^2-x+2)-8/2197*sqrt(3*x^2-x+2)/(1+2*x)^2-144*sqrt(3*x^2-x+2)/(28561+57122*x)-2084/28561*arctanh(1/2*(9-8*x)/sqrt(13)/sqrt(3*x^2-x+2))/sqrt(13),1],
[sqrt(e*x+d)*sqrt(c*x^2+b*x+a)*(C*x^2+B*x+A),x,8,2/315*(7*c*(-b*e+2*c*d)*(-3*A*c*e+C*a*e+C*b*d)-(-3*B*c*e+2*C*b*e+2*C*c*d)*(8*c^2*d^2-4*b^2*e^2-c*e*(-10*a*e+b*d))/e)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^3/e^2-2/105*(e*x+d)^(3/2)*(7*c*(-3*A*c*e+C*a*e+C*b*d)-(-b*e+4*c*d)*(-3*B*c*e+2*C*b*e+2*C*c*d)/e+5*c*(-3*B*c*e+2*C*b*e+2*C*c*d)*x)*sqrt(c*x^2+b*x+a)/c^2/e^2+2/9*C*(e*x+d)^(3/2)*(c*x^2+b*x+a)^(3/2)/c/e-1/315*sqrt(2)*sqrt(-4*a*c+b^2)*(16*b^4*C*e^4-8*b^2*c*e^3*(3*B*b*e+9*C*a*e+C*b*d)+2*c^4*(8*C*d^4-3*d^2*e*(-7*A*e+4*B*d))+3*c^2*e^2*(14*a^2*C*e^2+a*b*e*(29*B*e+10*C*d)-b^2*(-14*A*e^2-5*B*d*e+2*C*d^2))+c^3*e*(6*a*e*(-21*A*e^2-8*B*d*e+3*C*d^2)-b*d*(42*A*e^2-15*B*d*e+8*C*d^2)))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^4/e^4/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/315*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(8*b^3*C*e^3-3*c^2*e^2*(-7*A*b*e-10*B*a*e+B*b*d+2*C*a*d)+3*b*c*e^2*(-4*B*b*e-9*C*a*e+C*b*d)-2*c^3*(8*C*d^3-3*d*e*(-7*A*e+4*B*d)))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^4/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)*(C*x^2+B*x+A)/sqrt(e*x+d),x,7,-2/105*sqrt(e*x+d)*(5*b*c*C*d-24*c^2*C*d^2/e-35*A*c^2*e+4*b^2*C*e+5*a*c*C*e+7*B*c*(-b*e+4*c*d)+3*c*(-7*B*c*e+4*C*b*e+6*C*c*d)*x)*sqrt(c*x^2+b*x+a)/c^2/e^2+2/7*C*sqrt(e*x+d)*(c*x^2+b*x+a)^(3/2)/c/e+1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(5*c*(-b*e+2*c*d)*(-7*A*c*e+C*a*e+3*C*b*d)-(-7*B*c*e+4*C*b*e+6*C*c*d)*(8*c^2*d^2-2*b^2*e^2-3*c*e*(-2*a*e+b*d))/e)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^3/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/105*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(4*b^2*C*e^2+c*e*(-7*B*b*e-10*C*a*e+8*C*b*d)+c^2*(48*C*d^2-14*e*(-5*A*e+4*B*d)))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)*(C*x^2+B*x+A)/(e*x+d)^(3/2),x,7,-2/15*sqrt(e*x+d)*(b*C*e^2*(-a*e+b*d)+c^2*(24*C*d^3-5*d*e*(-3*A*e+4*B*d))+c*e*(a*e*(-5*B*e+9*C*d)-5*b*(3*A*e^2-4*B*d*e+5*C*d^2))+3*c*e^2*(5*B*c*d+b*C*d-6*c*C*d^2/e-5*A*c*e-a*C*e)*x)*sqrt(c*x^2+b*x+a)/c/e^3/(a*e^2-b*d*e+c*d^2)-2*(C*d^2-e*(-A*e+B*d))*(c*x^2+b*x+a)^(3/2)/e/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(2*b^2*C*e^2+c*e*(-5*B*b*e-6*C*a*e+8*C*b*d)-c^2*(48*C*d^2-10*e*(-3*A*e+4*B*d)))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^4/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(b*C*e^2*(-a*e+b*d)-2*c^2*d*(24*C*d^2-5*e*(-3*A*e+4*B*d))+c*e*(32*b*C*d^2-5*b*e*(-3*A*e+5*B*d)-2*a*e*(-5*B*e+9*C*d)))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)*(C*x^2+B*x+A)/(e*x+d)^(5/2),x,7,2/3*(8*c*C*d^3/e-c*d*(-A*e+4*B*d)-(-a*e+b*d)*(-3*B*e+7*C*d)-e*(B*c*d+b*C*d-2*c*C*d^2/e-A*c*e-a*C*e)*x)*sqrt(c*x^2+b*x+a)/e^2/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-2/3*(C*d^2-e*(-A*e+B*d))*(c*x^2+b*x+a)^(3/2)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(2*(4*c*d-1/2*b*e)*(B*c*d+b*C*d-2*c*C*d^2/e-A*c*e-a*C*e)+6*c*(b*d*(-B*e+C*d)+e*(A*c*d+B*a*e-C*a*d)))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^3/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(e*(-3*B*b*e-2*C*a*e+8*C*b*d)-2*c*(8*C*d^2-e*(-A*e+4*B*d)))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)*(C*x^2+B*x+A)/(e*x+d)^(7/2),x,8,-2/15*(c^2*(48*C*d^4-2*d^2*e*(A*e+4*B*d))+e^2*(30*a^2*C*e^2-5*a*b*e*(-B*e+14*C*d)+b^2*(-2*A*e^2-3*B*d*e+38*C*d^2))-c*e*(b*d*(-2*A*e^2-13*B*d*e+88*C*d^2)-2*a*e*(3*A*e^2-8*B*d*e+43*C*d^2)))*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-2/15*(23*b*C*d^2-24*c*C*d^3/e+c*d*(A*e+4*B*d)-b*e*(2*A*e+3*B*d)-5*a*e*(-B*e+5*C*d)+3*e*(B*c*d+5*b*C*d-6*c*C*d^2/e-A*c*e-5*a*C*e)*x)*sqrt(c*x^2+b*x+a)/e^2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)-2/5*(C*d^2-e*(-A*e+B*d))*(c*x^2+b*x+a)^(3/2)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(5/2)+1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(c^2*(48*C*d^4-2*d^2*e*(A*e+4*B*d))+e^2*(30*a^2*C*e^2-5*a*b*e*(-B*e+14*C*d)+b^2*(-2*A*e^2-3*B*d*e+38*C*d^2))-c*e*(b*d*(-2*A*e^2-13*B*d*e+88*C*d^2)-2*a*e*(3*A*e^2-8*B*d*e+43*C*d^2)))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(15*b*C*e^2*(-a*e+b*d)+c^2*(48*C*d^3-2*d*e*(A*e+4*B*d))-c*e*(64*b*C*d^2-b*e*(A*e+9*B*d)-10*a*e*(-B*e+5*C*d)))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^4/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)*(C*x^2+B*x+A)/(e*x+d)^(9/2),x,9,2/105*(c^2*(48*C*d^4+2*d^2*e*(3*A*e+4*B*d))+c*e*(2*a*e*(51*C*d^2+e*(-5*A*e+12*B*d))-b*(104*C*d^3+3*d*e*(2*A*e+5*B*d)))+e^2*(70*a^2*C*e^2-7*a*b*e*(B*e+18*C*d)+b^2*(60*C*d^2+e*(4*A*e+3*B*d))))*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(3/2)+2/105*(c^3*(48*C*d^5+2*d^3*e*(3*A*e+4*B*d))-b*e^3*(35*a^2*C*e^2-14*a*b*e*(B*e+3*C*d)+b^2*(8*A*e^2+6*B*d*e+15*C*d^2))+c^2*d*e*(2*a*e*(69*C*d^2+e*(-29*A*e+15*B*d))-b*(128*C*d^3+d*e*(9*A*e+19*B*d)))+c*e^2*(14*a^2*e^2*(-3*B*e+11*C*d)-a*b*e*(237*C*d^2+e*(-29*A*e+B*d))+b^2*(103*C*d^3+d*e*(19*A*e+9*B*d))))*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)^3/sqrt(e*x+d)-2/35*(24*c*C*d^3/e+c*d*(3*A*e+4*B*d)+7*a*e*(B*e+3*C*d)-b*(25*C*d^2+e*(4*A*e+3*B*d))+5*e*(B*c*d-7*b*C*d+6*c*C*d^2/e-A*c*e+7*a*C*e)*x)*sqrt(c*x^2+b*x+a)/e^2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(5/2)-2/7*(C*d^2-e*(-A*e+B*d))*(c*x^2+b*x+a)^(3/2)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(7/2)-1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(2*c^3*(24*C*d^5+d^3*e*(3*A*e+4*B*d))-b*e^3*(35*a^2*C*e^2-14*a*b*e*(B*e+3*C*d)+b^2*(8*A*e^2+6*B*d*e+15*C*d^2))+c^2*d*e*(2*a*e*(69*C*d^2+e*(-29*A*e+15*B*d))-b*(128*C*d^3+d*e*(9*A*e+19*B*d)))+c*e^2*(14*a^2*e^2*(-3*B*e+11*C*d)-a*b*e*(237*C*d^2+e*(-29*A*e+B*d))+b^2*(103*C*d^3+d*e*(19*A*e+9*B*d))))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/105*sqrt(2)*sqrt(-4*a*c+b^2)*(c^2*(48*C*d^4+2*d^2*e*(3*A*e+4*B*d))+c*e*(2*a*e*(51*C*d^2+e*(-5*A*e+12*B*d))-b*(104*C*d^3+3*d*e*(2*A*e+5*B*d)))+e^2*(70*a^2*C*e^2-7*a*b*e*(B*e+18*C*d)+b^2*(60*C*d^2+e*(4*A*e+3*B*d))))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(3/2)*(C*x^2+B*x+A)/sqrt(c*x^2+b*x+a),x,8,-2/105*(15*b*C*d+6*c*C*d^2/e-35*A*c*e+25*a*C*e-24*b^2*C*e/c-7*B*(-4*b*e+3*c*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2+2/35*(7*B*c-6*b*C-2*c*C*d/e)*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c^2+2/7*C*(e*x+d)^(5/2)*sqrt(c*x^2+b*x+a)/c/e-1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(48*b^3*C*e^3-8*b*c*e^2*(7*B*b*e+13*C*a*e+9*C*b*d)+c^3*(6*C*d^3-7*d*e*(20*A*e+3*B*d))+c^2*e*(a*e*(63*B*e+82*C*d)+b*(70*A*e^2+91*B*d*e+12*C*d^2)))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^4/e^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/105*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(24*b^2*C*e^2-c*e*(28*B*b*e+25*C*a*e+15*C*b*d)-c^2*(6*C*d^2-7*e*(5*A*e+3*B*d)))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^4/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(e*x+d)*(C*x^2+B*x+A)/sqrt(c*x^2+b*x+a),x,7,2/15*(5*B*c-4*b*C-2*c*C*d/e)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2+2/5*C*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c/e-1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(3*c*(-5*A*c*e+3*C*a*e+C*b*d)+(-2*b*e+c*d)*(-5*B*c*e+4*C*b*e+2*C*c*d)/e)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-5*B*c*e+4*C*b*e+2*C*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(C*x^2+B*x+A)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,6,2/3*C*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c/e-1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-3*B*c*e+2*C*b*e+2*C*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(2*c*C*d^2+C*e*(-a*e+b*d)-3*c*e*(-A*e+B*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(C*x^2+B*x+A)/(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a),x,6,-2*(C*d^2-e*(-A*e+B*d))*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)+sqrt(2)*sqrt(-4*a*c+b^2)*(2*c*C*d^2-C*e*(-a*e+b*d)-c*e*(-A*e+B*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^2/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2*sqrt(2)*sqrt(-4*a*c+b^2)*(-B*e+2*C*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(C*x^2+B*x+A)/(e*x+d)^(5/2)/sqrt(c*x^2+b*x+a),x,7,-2/3*(C*d^2-e*(-A*e+B*d))*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+2/3*(2*c*C*d^3+c*d*e*(-4*A*e+B*d)+3*a*e^2*(-B*e+2*C*d)-b*e*(4*C*d^2-e*(2*A*e+B*d)))*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(2*c*C*d^3+c*d*e*(-4*A*e+B*d)+3*a*e^2*(-B*e+2*C*d)-b*e*(4*C*d^2-e*(2*A*e+B*d)))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(2*c*C*d^2-3*C*e*(-a*e+b*d)+c*e*(-A*e+B*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^2/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(C*x^2+B*x+A)/(e*x+d)^(7/2)/sqrt(c*x^2+b*x+a),x,8,-2/5*(C*d^2-e*(-A*e+B*d))*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(5/2)+2/15*(2*c*C*d^3+c*d*e*(-8*A*e+3*B*d)+5*a*e^2*(-B*e+2*C*d)-b*e*(6*C*d^2-e*(4*A*e+B*d)))*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(3/2)+2/15*(c^2*(2*C*d^4+d^2*e*(-23*A*e+3*B*d))-e^2*(15*a^2*C*e^2-10*a*b*e*(B*e+C*d)+b^2*(8*A*e^2+2*B*d*e+3*C*d^2))-c*e*(b*d*(-23*A*e^2-7*B*d*e+7*C*d^2)-a*e*(9*A*e^2-29*B*d*e+19*C*d^2)))*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)^3/sqrt(e*x+d)-1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(c^2*(2*C*d^4+d^2*e*(-23*A*e+3*B*d))-e^2*(15*a^2*C*e^2-10*a*b*e*(B*e+C*d)+b^2*(8*A*e^2+2*B*d*e+3*C*d^2))-c*e*(b*d*(-23*A*e^2-7*B*d*e+7*C*d^2)-a*e*(9*A*e^2-29*B*d*e+19*C*d^2)))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(2*c*C*d^3+c*d*e*(-8*A*e+3*B*d)+5*a*e^2*(-B*e+2*C*d)-b*e*(6*C*d^2-e*(4*A*e+B*d)))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(h*x+g)^m*(c*x^2+b*x+a)^p*(f*x^2+e*x+d),x,6,f*(h*x+g)^(1+m)*(c*x^2+b*x+a)^(p+1)/c/h/(3+m+2*p)+(f*h*(-a*h+b*g)*(1+m)+2*c*f*g^2*(p+1)-c*h*(-d*h+e*g)*(3+m+2*p))*(h*x+g)^(1+m)*(c*x^2+b*x+a)^p*AppellF1(1+m,-p,-p,2+m,2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h),2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))/c/h^3/(1+m)/(3+m+2*p)/((1-2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h))^p)/((1-2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))^p)-(2*c*f*g*(p+1)+b*f*h*(2+m+p)-c*e*h*(3+m+2*p))*(h*x+g)^(2+m)*(c*x^2+b*x+a)^p*AppellF1(2+m,-p,-p,3+m,2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h),2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))/c/h^3/(2+m)/(3+m+2*p)/((1-2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h))^p)/((1-2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))^p),1],
[(h*x+g)^m*sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d),x,6,f*(h*x+g)^(1+m)*(c*x^2+b*x+a)^(3/2)/c/h/(4+m)+(3*c*f*g^2+f*h*(-a*h+b*g)*(1+m)-c*h*(-d*h+e*g)*(4+m))*(h*x+g)^(1+m)*sqrt(c*x^2+b*x+a)*AppellF1(1+m,-1/2,-1/2,2+m,2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h),2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))/c/h^3/(1+m)/(4+m)/sqrt(1-2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h))/sqrt(1-2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))-1/2*(6*c*f*g-2*c*e*h*(4+m)+b*f*h*(5+2*m))*(h*x+g)^(2+m)*sqrt(c*x^2+b*x+a)*AppellF1(2+m,-1/2,-1/2,3+m,2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h),2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))/c/h^3/(2+m)/(4+m)/sqrt(1-2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h))/sqrt(1-2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h)),1],
[(h*x+g)^(-3-2*p)*(c*x^2+b*x+a)^p*(f*x^2+e*x+d),x,6,-1/2*(f*g^2-h*(-d*h+e*g))*(c*x^2+b*x+a)^(p+1)/h/(a*h^2-b*g*h+c*g^2)/(p+1)/((h*x+g)^(2*p+2))-1/2*f*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h),2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))/h^3/p/((h*x+g)^(2*p))/((1-2*c*(h*x+g)/(2*c*g-(b-sqrt(-4*a*c+b^2))*h))^p)/((1-2*c*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h))^p)-1/2*(2*c*(-d*g*h^2+f*g^3)-h*(3*b*f*g^2-b*h*(d*h+e*g)-2*a*h*(-e*h+2*f*g)))*(b-sqrt(-4*a*c+b^2)+2*c*x)*(h*x+g)^(-1-2*p)*(c*x^2+b*x+a)^p*hypergeom([-1-2*p, -p],[-2*p],-4*c*sqrt(-4*a*c+b^2)*(h*x+g)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h)/(b-sqrt(-4*a*c+b^2)+2*c*x))/h^2/(2*c*g-(b-sqrt(-4*a*c+b^2))*h)/(a*h^2-b*g*h+c*g^2)/(1+2*p)/(((2*c*g-(b-sqrt(-4*a*c+b^2))*h)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*g-(b+sqrt(-4*a*c+b^2))*h)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[x*(D*x^3+C*x^2+B*x+A)/(c*x^2+b*x)^(5/2),x,6,2/3*(-A*c^3+B*b*c^2-C*b^2*c+D*b^3)*x^2/b^2/c^2/(c*x^2+b*x)^(3/2)-2*A/b^2/sqrt(c*x^2+b*x)+2/3*(-8*A*c^3+2*B*b*c^2+C*b^2*c-4*D*b^3)*x/b^3/c^2/sqrt(c*x^2+b*x)+2*D*arctanh(sqrt(c)*x/sqrt(c*x^2+b*x))/c^(5/2),1],
[(e*x+d)^4*(c*x^2+b*x+a)^5*(6*b*d+5*a*e+(11*b*e+12*c*d)*x+17*c*e*x^2),x,1,(e*x+d)^5*(c*x^2+b*x+a)^6,1],
[(e*x+d)^3*(c*x^2+b*x+a)^5*(d*(5*a*e+6*b*d)+(5*a*e^2+17*b*d*e+12*c*d^2)*x+e*(11*b*e+29*c*d)*x^2+17*c*e^2*x^3),x,2,(e*x+d)^5*(c*x^2+b*x+a)^6,1],
[(e*x+d)^4*(c*x^2+b*x+a)^4*(a*(5*a*e+6*b*d)+2*(8*a*b*e+6*a*c*d+3*b^2*d)*x+(22*a*c*e+11*b^2*e+18*b*c*d)*x^2+4*c*(7*b*e+3*c*d)*x^3+17*c^2*e*x^4),x,2,(e*x+d)^5*(c*x^2+b*x+a)^6,1],
[(x^3+x^2)/(x^2+x-2),x,3,1/2*x^2+2/3*ln(1-x)+4/3*ln(2+x),1],
[x^2*(g*x^3+f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,6,1/240*(-64*a*c*g+63*b^2*g-70*b*c*f+80*c^2*e)*x^2*sqrt(c*x^2+b*x+a)/c^3+1/40*(-9*b*g+10*c*f)*x^3*sqrt(c*x^2+b*x+a)/c^2+1/5*g*x^4*sqrt(c*x^2+b*x+a)/c-1/1920*(1050*b^3*c*f+40*b*c^2*(-55*a*f+36*c*d)-945*b^4*g-60*b^2*c*(-49*a*g+20*c*e)+256*a*c^2*(-4*a*g+5*c*e)-2*c*(480*c^3*d-40*c^2*(9*a*f+10*b*e)-315*b^3*g+14*b*c*(46*a*g+25*b*f))*x)*sqrt(c*x^2+b*x+a)/c^5+1/256*(70*b^4*c*f+48*b^2*c^2*(-5*a*f+2*c*d)-32*a*c^3*(-3*a*f+4*c*d)-63*b^5*g-40*b^3*c*(-7*a*g+2*c*e)+48*a*b*c^2*(-5*a*g+4*c*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[x*(g*x^3+f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,5,1/24*(-7*b*g+8*c*f)*x^2*sqrt(c*x^2+b*x+a)/c^2+1/4*g*x^3*sqrt(c*x^2+b*x+a)/c+1/192*(192*c^3*d-16*c^2*(8*a*f+9*b*e)-105*b^3*g+20*b*c*(11*a*g+6*b*f)+2*c*(-36*a*c*g+35*b^2*g-40*b*c*f+48*c^2*e)*x)*sqrt(c*x^2+b*x+a)/c^4-1/128*(40*b^3*c*f+32*b*c^2*(-3*a*f+2*c*d)-35*b^4*g-24*b^2*c*(-5*a*g+2*c*e)+16*a*c^2*(-3*a*g+4*c*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(g*x^3+f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,5,1/24*(-16*a*c*g+15*b^2*g-18*b*c*f+24*c^2*e)*sqrt(c*x^2+b*x+a)/c^3+1/12*(-5*b*g+6*c*f)*x*sqrt(c*x^2+b*x+a)/c^2+1/3*g*x^2*sqrt(c*x^2+b*x+a)/c+1/16*(16*c^3*d-8*c^2*(a*f+b*e)-5*b^3*g+6*b*c*(2*a*g+b*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(g*x^3+f*x^2+e*x+d)/x/sqrt(c*x^2+b*x+a),x,7,1/4*(-3*b*g+4*c*f)*sqrt(c*x^2+b*x+a)/c^2+1/2*g*x*sqrt(c*x^2+b*x+a)/c-d*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)+1/8*(8*c^2*e+3*b^2*g-4*c*(a*g+b*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(g*x^3+f*x^2+e*x+d)/x^2/sqrt(c*x^2+b*x+a),x,7,g*sqrt(c*x^2+b*x+a)/c-d*sqrt(c*x^2+b*x+a)/a/x+1/2*(-2*a*e+b*d)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)+1/2*(-b*g+2*c*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(g*x^3+f*x^2+e*x+d)/x^3/sqrt(c*x^2+b*x+a),x,7,-1/2*d*sqrt(c*x^2+b*x+a)/a/x^2+1/4*(-4*a*e+3*b*d)*sqrt(c*x^2+b*x+a)/a^2/x-1/8*(8*a^2*f-4*a*b*e-4*a*c*d+3*b^2*d)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(5/2)+g*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c),1],
[(g*x^3+f*x^2+e*x+d)/x^4/sqrt(c*x^2+b*x+a),x,5,-1/3*d*sqrt(c*x^2+b*x+a)/a/x^3+1/12*(-6*a*e+5*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^2-1/24*(24*a^2*f-18*a*b*e-16*a*c*d+15*b^2*d)*sqrt(c*x^2+b*x+a)/a^3/x+1/16*(5*b^3*d-6*a*b^2*e-4*a*b*(-2*a*f+3*c*d)+8*a^2*(-2*a*g+c*e))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(7/2),1],
[(g*x^3+f*x^2+e*x+d)/x^5/sqrt(c*x^2+b*x+a),x,6,-1/4*d*sqrt(c*x^2+b*x+a)/a/x^4+1/24*(-8*a*e+7*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^3-1/96*(48*a^2*f-40*a*b*e-36*a*c*d+35*b^2*d)*sqrt(c*x^2+b*x+a)/a^3/x^2+1/192*(105*b^3*d-120*a*b^2*e-4*a*b*(-36*a*f+55*c*d)+64*a^2*(-3*a*g+2*c*e))*sqrt(c*x^2+b*x+a)/a^4/x-1/128*(35*b^4*d-40*a*b^3*e+16*a^2*c*(-4*a*f+3*c*d)-24*a*b^2*(-2*a*f+5*c*d)+32*a^2*b*(-2*a*g+3*c*e))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(9/2),1],
[(g*x^3+f*x^2+e*x+d)/x^6/sqrt(c*x^2+b*x+a),x,7,-1/5*d*sqrt(c*x^2+b*x+a)/a/x^5+1/40*(-10*a*e+9*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^4-1/240*(80*a^2*f-70*a*b*e-64*a*c*d+63*b^2*d)*sqrt(c*x^2+b*x+a)/a^3/x^3+1/960*(315*b^3*d-350*a*b^2*e-4*a*b*(-100*a*f+161*c*d)+120*a^2*(-4*a*g+3*c*e))*sqrt(c*x^2+b*x+a)/a^4/x^2-1/1920*(945*b^4*d-1050*a*b^3*e-60*a*b^2*(-20*a*f+49*c*d)+256*a^2*c*(-5*a*f+4*c*d)+40*a^2*b*(-36*a*g+55*c*e))*sqrt(c*x^2+b*x+a)/a^5/x+1/256*(63*b^5*d-70*a*b^4*e+48*a^2*b*c*(-4*a*f+5*c*d)-40*a*b^3*(-2*a*f+7*c*d)-32*a^3*c*(-4*a*g+3*c*e)+48*a^2*b^2*(-2*a*g+5*c*e))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(11/2),1],
[(e*x+d)^3*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x,2,3/2*(e*x+d)^4/e+1/4*d*(20*d^5+17*d^4*e+17*d^3*e^2+4*d^2*e^3+21*d*e^4-7*e^5)*(e*x+d)^4/e^7-1/5*(120*d^5+85*d^4*e+68*d^3*e^2+12*d^2*e^3+42*d*e^4-7*e^5)*(e*x+d)^5/e^7+1/6*(300*d^4+170*d^3*e+102*d^2*e^2+12*d*e^3+21*e^4)*(e*x+d)^6/e^7-2/7*(200*d^3+85*d^2*e+34*d*e^2+2*e^3)*(e*x+d)^7/e^7+1/8*(300*d^2+85*d*e+17*e^2)*(e*x+d)^8/e^7-1/9*(120*d+17*e)*(e*x+d)^9/e^7+2*(e*x+d)^10/e^7,1],
[(e*x+d)^2*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x,2,7/2*d^2*x^2+7/3*d*(3*d+2*e)*x^3-1/4*(4*d^2-42*d*e-7*e^2)*x^4+1/5*(17*d^2-8*d*e+21*e^2)*x^5-1/6*(17*d^2-34*d*e+4*e^2)*x^6+1/7*(20*d^2-34*d*e+17*e^2)*x^7+1/8*(40*d-17*e)*e*x^8+20/9*e^2*x^9+2*(e*x+d)^3/e,1],
[(e*x+d)*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x,2,6*d*x+1/2*(7*d+6*e)*x^2+7/3*(3*d+e)*x^3-1/4*(4*d-21*e)*x^4+1/5*(17*d-4*e)*x^5-17/6*(d-e)*x^6+1/7*(20*d-17*e)*x^7+5/2*e*x^8,1],
[(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x,2,6*x+7/2*x^2+7*x^3-x^4+17/5*x^5-17/6*x^6+20/7*x^7,1],
[(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d),x,2,-(20*d^5+17*d^4*e+17*d^3*e^2+4*d^2*e^3+21*d*e^4-7*e^5)*x/e^6+1/2*(20*d^4+17*d^3*e+17*d^2*e^2+4*d*e^3+21*e^4)*x^2/e^5-1/3*(20*d^3+17*d^2*e+17*d*e^2+4*e^3)*x^3/e^4+1/4*(20*d^2+17*d*e+17*e^2)*x^4/e^3-1/5*(20*d+17*e)*x^5/e^2+10/3*x^6/e+(5*d^2-2*d*e+3*e^2)*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*ln(e*x+d)/e^7,1],
[(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2,x,2,(100*d^4+68*d^3*e+51*d^2*e^2+8*d*e^3+21*e^4)*x/e^6-1/2*(80*d^3+51*d^2*e+34*d*e^2+4*e^3)*x^2/e^5+1/3*(60*d^2+34*d*e+17*e^2)*x^3/e^4-1/4*(40*d+17*e)*x^4/e^3+4*x^5/e^2-(5*d^2-2*d*e+3*e^2)*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e^7/(e*x+d)-(120*d^5+85*d^4*e+68*d^3*e^2+12*d^2*e^3+42*d*e^4-7*e^5)*ln(e*x+d)/e^7,1],
[(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3,x,2,-(200*d^3+102*d^2*e+51*d*e^2+4*e^3)*x/e^6+1/2*(120*d^2+51*d*e+17*e^2)*x^2/e^5-1/3*(60*d+17*e)*x^3/e^4+5*x^4/e^3-1/2*(5*d^2-2*d*e+3*e^2)*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e^7/(e*x+d)^2+(120*d^5+85*d^4*e+68*d^3*e^2+12*d^2*e^3+42*d*e^4-7*e^5)/e^7/(e*x+d)+(300*d^4+170*d^3*e+102*d^2*e^2+12*d*e^3+21*e^4)*ln(e*x+d)/e^7,1],
[(e*x+d)^3*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x,2,33/2*d^3*x^2+1/3*d^2*(107*d+99*e)*x^3+1/4*d*(65*d^2+321*d*e+99*e^2)*x^4+1/5*(148*d^3+195*d^2*e+321*d*e^2+33*e^3)*x^5-1/6*(37*d^3-444*d^2*e-195*d*e^2-107*e^3)*x^6+1/7*(111*d^3-111*d^2*e+444*d*e^2+65*e^3)*x^7-1/8*(45*d^3-333*d^2*e+111*d*e^2-148*e^3)*x^8+1/9*(100*d^3-135*d^2*e+333*d*e^2-37*e^3)*x^9+3/10*e*(100*d^2-45*d*e+37*e^2)*x^10+15/11*(20*d-3*e)*e^2*x^11+25/3*e^3*x^12+9/2*(e*x+d)^4/e,1],
[(e*x+d)^2*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x,2,33/2*d^2*x^2+1/3*d*(107*d+66*e)*x^3+1/4*(65*d^2+214*d*e+33*e^2)*x^4+1/5*(148*d^2+130*d*e+107*e^2)*x^5-1/6*(37*d^2-296*d*e-65*e^2)*x^6+37/7*(3*d^2-2*d*e+4*e^2)*x^7-1/8*(45*d^2-222*d*e+37*e^2)*x^8+1/9*(100*d^2-90*d*e+111*e^2)*x^9+1/2*(40*d-9*e)*e*x^10+100/11*e^2*x^11+6*(e*x+d)^3/e,1],
[(e*x+d)*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x,2,18*d*x+3/2*(11*d+6*e)*x^2+1/3*(107*d+33*e)*x^3+1/4*(65*d+107*e)*x^4+1/5*(148*d+65*e)*x^5-37/6*(d-4*e)*x^6+37/7*(3*d-e)*x^7-3/8*(15*d-37*e)*x^8+5/9*(20*d-9*e)*x^9+10*e*x^10,1],
[(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x,2,18*x+33/2*x^2+107/3*x^3+65/4*x^4+148/5*x^5-37/6*x^6+111/7*x^7-45/8*x^8+100/9*x^9,1],
[(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d),x,2,-(100*d^7+45*d^6*e+111*d^5*e^2+37*d^4*e^3+148*d^3*e^4-65*d^2*e^5+107*d*e^6-33*e^7)*x/e^8+1/2*(100*d^6+45*d^5*e+111*d^4*e^2+37*d^3*e^3+148*d^2*e^4-65*d*e^5+107*e^6)*x^2/e^7-1/3*(100*d^5+45*d^4*e+111*d^3*e^2+37*d^2*e^3+148*d*e^4-65*e^5)*x^3/e^6+1/4*(100*d^4+45*d^3*e+111*d^2*e^2+37*d*e^3+148*e^4)*x^4/e^5-1/5*(100*d^3+45*d^2*e+111*d*e^2+37*e^3)*x^5/e^4+1/6*(100*d^2+45*d*e+111*e^2)*x^6/e^3-5/7*(20*d+9*e)*x^7/e^2+25/2*x^8/e+(5*d^2-2*d*e+3*e^2)^2*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*ln(e*x+d)/e^9,1],
[(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2,x,2,(700*d^6+270*d^5*e+555*d^4*e^2+148*d^3*e^3+444*d^2*e^4-130*d*e^5+107*e^6)*x/e^8-1/2*(600*d^5+225*d^4*e+444*d^3*e^2+111*d^2*e^3+296*d*e^4-65*e^5)*x^2/e^7+1/3*(500*d^4+180*d^3*e+333*d^2*e^2+74*d*e^3+148*e^4)*x^3/e^6-1/4*(400*d^3+135*d^2*e+222*d*e^2+37*e^3)*x^4/e^5+3/5*(100*d^2+30*d*e+37*e^2)*x^5/e^4-5/6*(40*d+9*e)*x^6/e^3+100/7*x^7/e^2-(5*d^2-2*d*e+3*e^2)^2*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e^9/(e*x+d)-(5*d^2-2*d*e+3*e^2)*(160*d^5+127*d^4*e+88*d^3*e^2-4*d^2*e^3+64*d*e^4-11*e^5)*ln(e*x+d)/e^9,1],
[(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3,x,2,-(2100*d^5+675*d^4*e+1110*d^3*e^2+222*d^2*e^3+444*d*e^4-65*e^5)*x/e^8+1/2*(1500*d^4+450*d^3*e+666*d^2*e^2+111*d*e^3+148*e^4)*x^2/e^7-1/3*(1000*d^3+270*d^2*e+333*d*e^2+37*e^3)*x^3/e^6+3/4*(200*d^2+45*d*e+37*e^2)*x^4/e^5-3*(20*d+3*e)*x^5/e^4+50/3*x^6/e^3-1/2*(5*d^2-2*d*e+3*e^2)^2*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e^9/(e*x+d)^2+(5*d^2-2*d*e+3*e^2)*(160*d^5+127*d^4*e+88*d^3*e^2-4*d^2*e^3+64*d*e^4-11*e^5)/e^9/(e*x+d)+(2800*d^6+945*d^5*e+1665*d^4*e^2+370*d^3*e^3+888*d^2*e^4-195*d*e^5+107*e^6)*ln(e*x+d)/e^9,1],
[(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^4,x,2,2*(1750*d^4+450*d^3*e+555*d^2*e^2+74*d*e^3+74*e^4)*x/e^8-1/2*(2000*d^3+450*d^2*e+444*d*e^2+37*e^3)*x^2/e^7+1/3*(1000*d^2+180*d*e+111*e^2)*x^3/e^6-5/4*(80*d+9*e)*x^4/e^5+20*x^5/e^4-1/3*(5*d^2-2*d*e+3*e^2)^2*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e^9/(e*x+d)^3+1/2*(5*d^2-2*d*e+3*e^2)*(160*d^5+127*d^4*e+88*d^3*e^2-4*d^2*e^3+64*d*e^4-11*e^5)/e^9/(e*x+d)^2-(2800*d^6+945*d^5*e+1665*d^4*e^2+370*d^3*e^3+888*d^2*e^4-195*d*e^5+107*e^6)/e^9/(e*x+d)-(5600*d^5+1575*d^4*e+2220*d^3*e^2+370*d^2*e^3+592*d*e^4-65*e^5)*ln(e*x+d)/e^9,1],
[(e*x+d)^3*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x,6,1/15625*(10125*d^3+34350*d^2*e-13215*d*e^2-5108*e^3)*x-1/6250*(4125*d^3-6075*d^2*e-6870*d*e^2+881*e^3)*x^2+1/1875*(500*d^3-2475*d^2*e+1215*d*e^2+458*e^3)*x^3+3/500*e*(100*d^2-165*d*e+27*e^2)*x^4+3/125*(20*d-11*e)*e^2*x^5+2/15*e^3*x^6-1/78125*(52875*d^3+449175*d^2*e-274845*d*e^2-53189*e^3)*arctan((1+5*x)/sqrt(14))/sqrt(14)+1/156250*(57250*d^3-66075*d^2*e-76620*d*e^2+23431*e^3)*ln(5*x^2+2*x+3),1],
[(e*x+d)^2*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x,6,1/3125*(2025*d^2+4580*d*e-881*e^2)*x-1/1250*(825*d^2-810*d*e-458*e^2)*x^2+1/375*(100*d^2-330*d*e+81*e^2)*x^3+1/100*(40*d-33*e)*e*x^4+4/25*e^2*x^5-1/15625*(10575*d^2+59890*d*e-18323*e^2)*arctan((1+5*x)/sqrt(14))/sqrt(14)+1/15625*(5725*d^2-4405*d*e-2554*e^2)*ln(5*x^2+2*x+3),1],
[(e*x+d)*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x,6,1/625*(405*d+458*e)*x-3/250*(55*d-27*e)*x^2+1/75*(20*d-33*e)*x^3+1/5*e*x^4-1/3125*(2115*d+5989*e)*arctan((1+5*x)/sqrt(14))/sqrt(14)+1/6250*(2290*d-881*e)*ln(5*x^2+2*x+3),1],
[(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x,6,81/125*x-33/50*x^2+4/15*x^3-423/625*arctan((1+5*x)/sqrt(14))/sqrt(14)+229/625*ln(5*x^2+2*x+3),1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)/(5*x^2+2*x+3),x,6,-1/25*(20*d+33*e)*x/e^2+2/5*x^2/e-1/125*(423*d-1367*e)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)+(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*ln(e*x+d)/e^3/(5*d^2-2*d*e+3*e^2)+(458*d-7*e)*ln(5*x^2+2*x+3)/(1250*d^2-500*d*e+750*e^2),1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2/(5*x^2+2*x+3),x,6,4/5*x/e^2-(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e^3/(5*d^2-2*d*e+3*e^2)/(e*x+d)-1/25*(423*d^2-2734*d*e+293*e^2)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)^2-(40*d^5+d^4*e+28*d^3*e^2+44*d^2*e^3-2*d*e^4+e^5)*ln(e*x+d)/e^3/(5*d^2-2*d*e+3*e^2)^2+1/25*(229*d^2-7*d*e-136*e^2)*ln(5*x^2+2*x+3)/(5*d^2-2*d*e+3*e^2)^2,1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3/(5*x^2+2*x+3),x,6,-1/2*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e^3/(5*d^2-2*d*e+3*e^2)/(e*x+d)^2+(40*d^5+d^4*e+28*d^3*e^2+44*d^2*e^3-2*d*e^4+e^5)/e^3/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)-1/5*(423*d^3-4101*d^2*e+879*d*e^2+703*e^3)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)^3+(100*d^6-120*d^5*e+228*d^4*e^2-242*d^3*e^3+141*d^2*e^4+120*d*e^5-e^6)*ln(e*x+d)/e^3/(5*d^2-2*d*e+3*e^2)^3+1/10*(458*d^3-21*d^2*e-816*d*e^2+113*e^3)*ln(5*x^2+2*x+3)/(5*d^2-2*d*e+3*e^2)^3,1],
[(e*x+d)^3*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x,7,1/3125*(500*d^3-3075*d^2*e+1545*d*e^2+867*e^3)*x+1/1250*e*(300*d^2-615*d*e+103*e^2)*x^2+1/375*(60*d-41*e)*e^2*x^3+1/25*e^3*x^4-(170875*d^3-95175*d^2*e-269505*d*e^2+54969*e^3+(52875*d^3+449175*d^2*e-274845*d*e^2-53189*e^3)*x)/(2187500*x^2+875000*x+1312500)+1/87500*(32825*d^3+317565*d^2*e-221643*d*e^2-67499*e^3)*arctan((1+5*x)/sqrt(14))/sqrt(14)-1/6250*(1025*d^3-1545*d^2*e-2601*d*e^2+832*e^3)*ln(5*x^2+2*x+3),1],
[(e*x+d)^2*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x,7,1/625*(100*d^2-410*d*e+103*e^2)*x+1/250*(40*d-41*e)*e*x^2+4/75*e^2*x^3-(34175*d^2-12690*d*e-17967*e^2+(10575*d^2+59890*d*e-18323*e^2)*x)/(437500*x^2+175000*x+262500)+1/87500*(32825*d^2+211710*d*e-73881*e^2)*arctan((1+5*x)/sqrt(14))/sqrt(14)-1/6250*(1025*d^2-1030*d*e-867*e^2)*ln(5*x^2+2*x+3),1],
[(e*x+d)*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x,7,1/125*(20*d-41*e)*x+2/25*e*x^2-(6835*d-1269*e+(2115*d+5989*e)*x)/(87500*x^2+35000*x+52500)+1/17500*(6565*d+21171*e)*arctan((1+5*x)/sqrt(14))/sqrt(14)-1/1250*(205*d-103*e)*ln(5*x^2+2*x+3),1],
[(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x,7,4/25*x-(1367+423*x)/(17500*x^2+7000*x+10500)+1313/3500*arctan((1+5*x)/sqrt(14))/sqrt(14)-41/250*ln(5*x^2+2*x+3),1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)/(5*x^2+2*x+3)^2,x,7,-1/700*(1367*d-293*e+(423*d-1367*e)*x)/(5*d^2-2*d*e+3*e^2)/(5*x^2+2*x+3)+1/700*(6565*d^3-26423*d^2*e+11089*d*e^2-6623*e^3)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)^2+(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*ln(e*x+d)/e/(5*d^2-2*d*e+3*e^2)^2-1/50*(205*d^3-61*d^2*e+23*d*e^2+14*e^3)*ln(5*x^2+2*x+3)/(5*d^2-2*d*e+3*e^2)^2,1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2/(5*x^2+2*x+3)^2,x,7,-(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)-1/140*(1367*d^2-586*d*e-703*e^2+(423*d^2-2734*d*e+293*e^2)*x)/(5*d^2-2*d*e+3*e^2)^2/(5*x^2+2*x+3)+1/28*(1313*d^4-10044*d^3*e+4290*d^2*e^2+156*d*e^3-271*e^4)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)^3+(41*d^4-8*d^3*e-60*d^2*e^2+24*d*e^3-5*e^4)*ln(e*x+d)/(5*d^2-2*d*e+3*e^2)^3-1/2*(41*d^4-8*d^3*e-60*d^2*e^2+24*d*e^3-5*e^4)*ln(5*x^2+2*x+3)/(5*d^2-2*d*e+3*e^2)^3,1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3/(5*x^2+2*x+3)^2,x,7,-1/2*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/e/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)^2-(41*d^4-8*d^3*e-60*d^2*e^2+24*d*e^3-5*e^4)/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)-1/28*(1367*d^3-879*d^2*e-2109*d*e^2+457*e^3+(423*d^3-4101*d^2*e+879*d*e^2+703*e^3)*x)/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)+1/28*(6565*d^5-74017*d^4*e+35022*d^3*e^2+42858*d^2*e^3-17247*d*e^4+579*e^5)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)^4+(205*d^5-19*d^4*e-846*d^3*e^2+396*d^2*e^3+57*d*e^4-21*e^5)*ln(e*x+d)/(5*d^2-2*d*e+3*e^2)^4-1/2*(205*d^5-19*d^4*e-846*d^3*e^2+396*d^2*e^3+57*d*e^4-21*e^5)*ln(5*x^2+2*x+3)/(5*d^2-2*d*e+3*e^2)^4,1],
[(e*x+d)^3*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x,8,1/625*(60*d-49*e)*e^2*x+2/125*e^3*x^2-1/875000*(170875*d^3-95175*d^2*e-269505*d*e^2+54969*e^3+(52875*d^3+449175*d^2*e-274845*d*e^2-53189*e^3)*x)/(5*x^2+2*x+3)^2+(4293375*d^3-3329925*d^2*e-12137505*d*e^2+2639639*e^3+5*(275375*d^3+2726475*d^2*e-1941585*d*e^2-621801*e^3)*x)/(122500000*x^2+49000000*x+73500000)+3/4900000*(353125*d^3-855175*d^2*e+74085*d*e^2+556349*e^3)*arctan((1+5*x)/sqrt(14))/sqrt(14)+3/6250*e*(100*d^2-245*d*e+47*e^2)*ln(5*x^2+2*x+3),1],
[(e*x+d)^2*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x,8,4/125*e^2*x-1/175000*(34175*d^2-12690*d*e-17967*e^2+(10575*d^2+59890*d*e-18323*e^2)*x)/(5*x^2+2*x+3)^2+(858675*d^2-443990*d*e-809167*e^2+5*(55075*d^2+363530*d*e-129439*e^2)*x)/(24500000*x^2+9800000*x+14700000)+1/980000*(211875*d^2-342070*d*e+14817*e^2)*arctan((1+5*x)/sqrt(14))/sqrt(14)+1/1250*(40*d-49*e)*e*ln(5*x^2+2*x+3),1],
[(e*x+d)*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x,6,-1/35000*(6835*d-1269*e+(2115*d+5989*e)*x)/(5*x^2+2*x+3)^2+(171735*d-44399*e+5*(11015*d+36353*e)*x)/(4900000*x^2+1960000*x+2940000)+1/196000*(42375*d-34207*e)*arctan((1+5*x)/sqrt(14))/sqrt(14)+2/125*e*ln(5*x^2+2*x+3),1],
[(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x,4,-1/7000*(1367+423*x)/(5*x^2+2*x+3)^2+(34347+11015*x)/(980000*x^2+392000*x+588000)+339/1568*arctan((1+5*x)/sqrt(14))/sqrt(14),1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)/(5*x^2+2*x+3)^3,x,8,-1/1400*(1367*d-293*e+(423*d-1367*e)*x)/(5*d^2-2*d*e+3*e^2)/(5*x^2+2*x+3)^2+1/39200*(171735*d^3-92989*d^2*e+36207*d*e^2+1831*e^3+25*(2203*d^3-9033*d^2*e+3635*d*e^2-1829*e^3)*x)/(5*d^2-2*d*e+3*e^2)^2/(5*x^2+2*x+3)+1/1568*(42375*d^5-16643*d^4*e+58530*d^3*e^2-56058*d^2*e^3+31811*d*e^4-8623*e^5)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)^3+e*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*ln(e*x+d)/(5*d^2-2*d*e+3*e^2)^3-1/2*e*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*ln(5*x^2+2*x+3)/(5*d^2-2*d*e+3*e^2)^3,1],
[(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2/(5*x^2+2*x+3)^3,x,8,-e*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)-1/280*(1367*d^2-586*d*e-703*e^2+(423*d^2-2734*d*e+293*e^2)*x)/(5*d^2-2*d*e+3*e^2)^2/(5*x^2+2*x+3)^2+1/7840*(171735*d^4-117284*d^3*e-200502*d^2*e^2+104428*d*e^3-23189*e^4+5*(11015*d^4-85924*d^3*e+34698*d^2*e^2+10348*d*e^3-3589*e^4)*x)/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)+1/1568*(211875*d^6+3070*d^5*e+209039*d^4*e^2-921444*d^3*e^3+380621*d^2*e^4-49586*d*e^5-43695*e^6)*arctan((1+5*x)/sqrt(14))/sqrt(14)/(5*d^2-2*d*e+3*e^2)^4+e*(40*d^5+83*d^4*e+12*d^3*e^2-76*d^2*e^3+46*d*e^4-9*e^5)*ln(e*x+d)/(5*d^2-2*d*e+3*e^2)^4-1/2*e*(40*d^5+83*d^4*e+12*d^3*e^2-76*d^2*e^3+46*d*e^4-9*e^5)*ln(5*x^2+2*x+3)/(5*d^2-2*d*e+3*e^2)^4,1],
[(5+2*x)*sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2),x,7,-51435/32768*(1-4*x)*sqrt(2*x^2-x+3)+11433/4480*(5+2*x)^2*(2*x^2-x+3)^(3/2)-823/1344*(5+2*x)^3*(2*x^2-x+3)^(3/2)+5/112*(5+2*x)^4*(2*x^2-x+3)^(3/2)-1/71680*(1005757+295276*x)*(2*x^2-x+3)^(3/2)-1183005/65536*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2),x,7,-4609/16384*(1-4*x)*sqrt(2*x^2-x+3)+287/5120*(2*x^2-x+3)^(3/2)-71/1280*x*(2*x^2-x+3)^(3/2)+7/80*x^2*(2*x^2-x+3)^(3/2)+5/12*x^3*(2*x^2-x+3)^(3/2)-106007/32768*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x),x,9,1/4096*(489587-80844*x)*sqrt(2*x^2-x+3)+4535/768*(2*x^2-x+3)^(3/2)-127/128*(5+2*x)*(2*x^2-x+3)^(3/2)+1/16*(5+2*x)^2*(2*x^2-x+3)^(3/2)+5627989/8192*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-11001/16*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2,x,9,-1/18432*(1996953-333380*x)*sqrt(2*x^2-x+3)-541/384*(2*x^2-x+3)^(3/2)-3667*(2*x^2-x+3)^(3/2)/(2880+1152*x)+5/64*(5+2*x)*(2*x^2-x+3)^(3/2)-2551847/4096*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+239201/384*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3,x,9,5/82944*(661065-110099*x)*sqrt(2*x^2-x+3)+5/48*(2*x^2-x+3)^(3/2)-3667/1152*(2*x^2-x+3)^(3/2)/(5+2*x)^2+357391*(2*x^2-x+3)^(3/2)/(414720+165888*x)+117315/512*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-12670805/55296*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4,x,9,-1/5971968*(44378877-7400779*x)*sqrt(2*x^2-x+3)-3667/1728*(2*x^2-x+3)^(3/2)/(5+2*x)^3+158527/82944*(2*x^2-x+3)^(3/2)/(5+2*x)^2-6467659*(2*x^2-x+3)^(3/2)/(29859840+11943936*x)-10939/256*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+170114729/3981312*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^5,x,9,7*(52836655+9616196*x)*sqrt(2*x^2-x+3)/(477757440+191102976*x)-3667/2304*(2*x^2-x+3)^(3/2)/(5+2*x)^4+593771/497664*(2*x^2-x+3)^(3/2)/(5+2*x)^3-9363383/23887872*(2*x^2-x+3)^(3/2)/(5+2*x)^2+259/64*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-4640586097/1146617856*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^6,x,9,-1/6879707136*(4583087983+3174439702*x)*sqrt(2*x^2-x+3)/(5+2*x)^2-3667/2880*(2*x^2-x+3)^(3/2)/(5+2*x)^5+711961/829440*(2*x^2-x+3)^(3/2)/(5+2*x)^4-38732321/179159040*(2*x^2-x+3)^(3/2)/(5+2*x)^3-5/32*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+12895597463/82556485632*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^7,x,7,-1172725/330225942528*(17-22*x)*sqrt(2*x^2-x+3)/(5+2*x)^2-3667/3456*(2*x^2-x+3)^(3/2)/(5+2*x)^6+92239/138240*(2*x^2-x+3)^(3/2)/(5+2*x)^5-5703277/39813120*(2*x^2-x+3)^(3/2)/(5+2*x)^4+87677717/8599633920*(2*x^2-x+3)^(3/2)/(5+2*x)^3-26972675/3962711310336*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^8,x,8,5679449533/6934744793088*sqrt(2*x^2-x+3)/(5+2*x)^2+24599098079*sqrt(2*x^2-x+3)/(832169375170560+332867750068224*x)-1/48157949952*(982491889+2070438154*x)*sqrt(2*x^2-x+3)/(5+2*x)^4-3667/4032*(2*x^2-x+3)^(3/2)/(5+2*x)^7+948341/1741824*(2*x^2-x+3)^(3/2)/(5+2*x)^6-1464037/13934592*(2*x^2-x+3)^(3/2)/(5+2*x)^5-289071245/285315214344192*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5+2*x)*(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2),x,8,-6398163/2097152*(1-4*x)*sqrt(2*x^2-x+3)-92727/131072*(1-4*x)*(2*x^2-x+3)^(3/2)+69415/32256*(5+2*x)^2*(2*x^2-x+3)^(5/2)-1121/2304*(5+2*x)^3*(2*x^2-x+3)^(5/2)+5/144*(5+2*x)^4*(2*x^2-x+3)^(5/2)-3/143360*(661397+215900*x)*(2*x^2-x+3)^(5/2)-147157749/4194304*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2),x,8,-593193/1048576*(1-4*x)*sqrt(2*x^2-x+3)-8597/65536*(1-4*x)*(2*x^2-x+3)^(3/2)+1167/14336*(2*x^2-x+3)^(5/2)+125/3584*x*(2*x^2-x+3)^(5/2)+23/448*x^2*(2*x^2-x+3)^(5/2)+5/16*x^3*(2*x^2-x+3)^(5/2)-13643439/2097152*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x),x,10,1/65536*(141051019-23482924*x)*sqrt(2*x^2-x+3)+1/12288*(500141-123060*x)*(2*x^2-x+3)^(3/2)+3505/896*(2*x^2-x+3)^(5/2)-311/448*(5+2*x)*(2*x^2-x+3)^(5/2)+5/112*(5+2*x)^2*(2*x^2-x+3)^(5/2)+1622009981/131072*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-99009/8*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2,x,10,-1/32768*(85448933-14243732*x)*sqrt(2*x^2-x+3)-1/18432*(909513-226052*x)*(2*x^2-x+3)^(3/2)-839/960*(2*x^2-x+3)^(5/2)-3667*(2*x^2-x+3)^(5/2)/(2880+1152*x)+5/96*(5+2*x)*(2*x^2-x+3)^(5/2)-982669459/65536*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+959625/64*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3,x,10,1/24576*(33741483-5623292*x)*sqrt(2*x^2-x+3)+1/82944*(2154633-534617*x)*(2*x^2-x+3)^(3/2)+1/16*(2*x^2-x+3)^(5/2)-3667/1152*(2*x^2-x+3)^(5/2)/(5+2*x)^2+438065*(2*x^2-x+3)^(5/2)/(414720+165888*x)+129342063/16384*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-8083915/1024*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4,x,10,-1/331776*(135068604-22512089*x)*sqrt(2*x^2-x+3)-1/17915904*(138006843-34265045*x)*(2*x^2-x+3)^(3/2)-3667/1728*(2*x^2-x+3)^(5/2)/(5+2*x)^3+556255/248832*(2*x^2-x+3)^(5/2)/(5+2*x)^2-32865365*(2*x^2-x+3)^(5/2)/(89579520+35831808*x)-19176431/8192*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+517762327/221184*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^5,x,10,1/31850496*(2339916063-389975609*x)*sqrt(2*x^2-x+3)+(762984903+67865260*x)*(2*x^2-x+3)^(3/2)/(477757440+191102976*x)-3667/2304*(2*x^2-x+3)^(5/2)/(5+2*x)^4+224815/165888*(2*x^2-x+3)^(5/2)/(5+2*x)^3-14477995/23887872*(2*x^2-x+3)^(5/2)/(5+2*x)^2+432565/1024*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-8969688643/21233664*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^6,x,10,-1/2293235712*(18519560187-3086715581*x)*sqrt(2*x^2-x+3)-1/2293235712*(9529279465+5098855738*x)*(2*x^2-x+3)^(3/2)/(5+2*x)^2-3667/2880*(2*x^2-x+3)^(5/2)/(5+2*x)^5+158527/165888*(2*x^2-x+3)^(5/2)/(5+2*x)^4-3730507/11943936*(2*x^2-x+3)^(5/2)/(5+2*x)^3-23775/512*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+70991525167/1528823808*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^7,x,10,(151764102421+27596573612*x)*sqrt(2*x^2-x+3)/(275188285440+110075314176*x)-1/13759414272*(9802984711+6793718806*x)*(2*x^2-x+3)^(3/2)/(5+2*x)^3-3667/3456*(2*x^2-x+3)^(5/2)/(5+2*x)^6+182165/248832*(2*x^2-x+3)^(5/2)/(5+2*x)^5-14087245/71663616*(2*x^2-x+3)^(5/2)/(5+2*x)^4+369/128*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-1903976002333/660451885056*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^8,x,10,-1/440301256704*(146583836191+101679102454*x)*sqrt(2*x^2-x+3)/(5+2*x)^2-1/2293235712*(463558457+411822458*x)*(2*x^2-x+3)^(3/2)/(5+2*x)^4-3667/4032*(2*x^2-x+3)^(5/2)/(5+2*x)^7+114335/193536*(2*x^2-x+3)^(5/2)/(5+2*x)^6-1930441/13934592*(2*x^2-x+3)^(5/2)/(5+2*x)^5-5/64*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+412760561351/5283615080448*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5+2*x)^2*(5*x^4-x^3+3*x^2+x+2)/sqrt(2*x^2-x+3),x,7,-3967/15360*(5+2*x)^2*sqrt(2*x^2-x+3)+5253/2560*(5+2*x)^3*sqrt(2*x^2-x+3)-619/960*(5+2*x)^4*sqrt(2*x^2-x+3)+5/96*(5+2*x)^5*sqrt(2*x^2-x+3)+1/122880*(2911373+58268*x)*sqrt(2*x^2-x+3)-1888339/16384*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5+2*x)*(5*x^4-x^3+3*x^2+x+2)/sqrt(2*x^2-x+3),x,6,761/256*(5+2*x)^2*sqrt(2*x^2-x+3)-105/128*(5+2*x)^3*sqrt(2*x^2-x+3)+1/16*(5+2*x)^4*sqrt(2*x^2-x+3)-1/2048*(19227+4676*x)*sqrt(2*x^2-x+3)-85429/4096*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/sqrt(2*x^2-x+3),x,6,-505/1024*sqrt(2*x^2-x+3)-409/768*x*sqrt(2*x^2-x+3)+19/96*x^2*sqrt(2*x^2-x+3)+5/8*x^3*sqrt(2*x^2-x+3)-6863/2048*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)/sqrt(2*x^2-x+3),x,8,879/128*sqrt(2*x^2-x+3)-137/96*x*sqrt(2*x^2-x+3)+5/12*x^2*sqrt(2*x^2-x+3)+9657/256*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-3667/96*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2/sqrt(2*x^2-x+3),x,8,-193/64*sqrt(2*x^2-x+3)+5/16*x*sqrt(2*x^2-x+3)-3667*sqrt(2*x^2-x+3)/(2880+1152*x)-2943/128*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+158527/6912*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3/sqrt(2*x^2-x+3),x,8,5/16*sqrt(2*x^2-x+3)-3667/1152*sqrt(2*x^2-x+3)/(5+2*x)^2+92239*sqrt(2*x^2-x+3)/(138240+55296*x)+149/32*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-1546507/331776*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4/sqrt(2*x^2-x+3),x,8,-3667/1728*sqrt(2*x^2-x+3)/(5+2*x)^3+394907/248832*sqrt(2*x^2-x+3)/(5+2*x)^2-3163415*sqrt(2*x^2-x+3)/(29859840+11943936*x)-5/16*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+22389491/71663616*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^5/sqrt(2*x^2-x+3),x,6,-3667/2304*sqrt(2*x^2-x+3)/(5+2*x)^4+513097/497664*sqrt(2*x^2-x+3)/(5+2*x)^3-16295969/71663616*sqrt(2*x^2-x+3)/(5+2*x)^2+26800085*sqrt(2*x^2-x+3)/(8599633920+3439853568*x)+2053207/20639121408*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5+2*x)^2*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(3/2),x,7,1/23*(-1384+2132*x)/sqrt(2*x^2-x+3)-13153/512*sqrt(2*x^2-x+3)+2645/128*x*sqrt(2*x^2-x+3)+153/16*x^2*sqrt(2*x^2-x+3)+5/4*x^3*sqrt(2*x^2-x+3)+144217/1024*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5+2*x)*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(3/2),x,6,1/23*(-53+373*x)/sqrt(2*x^2-x+3)+33/64*sqrt(2*x^2-x+3)+193/48*x*sqrt(2*x^2-x+3)+5/6*x^2*sqrt(2*x^2-x+3)+3111/128*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(3/2),x,5,1/92*(89+219*x)/sqrt(2*x^2-x+3)+27/32*sqrt(2*x^2-x+3)+5/8*x*sqrt(2*x^2-x+3)+213/64*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)/(2*x^2-x+3)^(3/2),x,7,1/3312*(1191+917*x)/sqrt(2*x^2-x+3)+5/8*sqrt(2*x^2-x+3)+39/16*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-3667/1728*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2/(2*x^2-x+3)^(3/2),x,7,1/119232*(9897+2203*x)/sqrt(2*x^2-x+3)-3667*sqrt(2*x^2-x+3)/(51840+20736*x)-5/8*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+25951/41472*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3/(2*x^2-x+3)^(3/2),x,5,1/4292352*(65991-8779*x)/sqrt(2*x^2-x+3)-3667/20736*sqrt(2*x^2-x+3)/(5+2*x)^2+115369*sqrt(2*x^2-x+3)/(7464960+2985984*x)-52631/5971968*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4/(2*x^2-x+3)^(3/2),x,6,1/154524672*(369609-175877*x)/sqrt(2*x^2-x+3)-3667/31104*sqrt(2*x^2-x+3)/(5+2*x)^3+152885/4478976*sqrt(2*x^2-x+3)/(5+2*x)^2+430799*sqrt(2*x^2-x+3)/(537477120+214990848*x)-3505819/1289945088*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5+2*x)^2*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(5/2),x,6,1/69*(-1384+2132*x)/(2*x^2-x+3)^(3/2)+4/1587*(18982-20383*x)/sqrt(2*x^2-x+3)+247/16*sqrt(2*x^2-x+3)+5/4*x*sqrt(2*x^2-x+3)-1471/32*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5+2*x)*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(5/2),x,5,1/69*(-53+373*x)/(2*x^2-x+3)^(3/2)+1/3174*(6055-28981*x)/sqrt(2*x^2-x+3)+5/4*sqrt(2*x^2-x+3)-71/8*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(5/2),x,4,1/276*(89+219*x)/(2*x^2-x+3)^(3/2)-1/2116*(1465+2604*x)/sqrt(2*x^2-x+3)-5/4*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)/(2*x^2-x+3)^(5/2),x,5,1/9936*(1191+917*x)/(2*x^2-x+3)^(3/2)-1/1371168*(335337+146729*x)/sqrt(2*x^2-x+3)-3667/31104*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2/(2*x^2-x+3)^(5/2),x,5,1/357696*(9897+2203*x)/(2*x^2-x+3)^(3/2)-1/24681024*(1255878-62021*x)/sqrt(2*x^2-x+3)-3667*sqrt(2*x^2-x+3)/(933120+373248*x)-2821/2239488*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3/(2*x^2-x+3)^(5/2),x,6,1/12877056*(65991-8779*x)/(2*x^2-x+3)^(3/2)-1/592344576*(4679797-2148263*x)/sqrt(2*x^2-x+3)-3667/373248*sqrt(2*x^2-x+3)/(5+2*x)^2-45979*sqrt(2*x^2-x+3)/(134369280+53747712*x)+774079/322486272*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4/(2*x^2-x+3)^(5/2),x,7,1/463574016*(369609-175877*x)/(2*x^2-x+3)^(3/2)-1/31986607104*(27754539-31190998*x)/sqrt(2*x^2-x+3)-3667/559872*sqrt(2*x^2-x+3)/(5+2*x)^3-89137/80621568*sqrt(2*x^2-x+3)/(5+2*x)^2+475357*sqrt(2*x^2-x+3)/(9674588160+3869835264*x)+4778789/7739670528*arctanh(1/12*(17-22*x)/sqrt(2)/sqrt(2*x^2-x+3))/sqrt(2),1],
[(j*x^4+i*x^3+h*x^2+g*x+f)/(c*x^2+b*x+a)^(5/2),x,4,2/3*(a*b^2*c*i+2*a*c^2*(-a*i+c*g)-a*b^3*j-b*c*(-3*a^2*j+a*c*h+c^2*f)-(2*c^4*f-c^3*(2*a*h+b*g)+b^4*j-b^2*c*(4*a*j+b*i)+c^2*(2*a^2*j+3*a*b*i+b^2*h))*x)/c^3/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-2/3*(b^4*c*i+24*a^2*c^3*i+2*b^2*c^2*(-3*a*i+2*c*g)-b^5*j-b^3*c*(-10*a*j+c*h)-4*b*c^2*(8*a^2*j+a*c*h+2*c^2*f)-c*(16*c^4*f-c^3*(-8*a*h+8*b*g)-4*b^4*j+b^2*c*(28*a*j+b*i)+2*c^2*(-16*a^2*j-6*a*b*i+b^2*h))*x)/c^3/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)+j*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(j*x^4+i*x^3+h*x^2+g*x+f)/(-c*x^2+b*x+a)^(5/2),x,4,2/3*(a*b^2*c*i+2*a*c^2*(a*i+c*g)+a*b^3*j-b*c*(-3*a^2*j-a*c*h+c^2*f)+(2*c^4*f+c^3*(2*a*h+b*g)+b^4*j+b^2*c*(4*a*j+b*i)+c^2*(2*a^2*j+3*a*b*i+b^2*h))*x)/c^3/(4*a*c+b^2)/(-c*x^2+b*x+a)^(3/2)-2/3*(b^4*c*i+24*a^2*c^3*i+2*b^2*c^2*(3*a*i+2*c*g)+b^5*j+b^3*c*(10*a*j+c*h)+4*b*c^2*(8*a^2*j-a*c*h+2*c^2*f)-c*(16*c^4*f+8*c^3*(-a*h+b*g)-4*b^4*j-b^2*c*(28*a*j+b*i)+2*c^2*(-16*a^2*j-6*a*b*i+b^2*h))*x)/c^3/(4*a*c+b^2)^2/sqrt(-c*x^2+b*x+a)-j*arctan(1/2*(-2*c*x+b)/sqrt(c)/sqrt(-c*x^2+b*x+a))/c^(5/2),1],
[(e*x+d)^m*(5*x^2+2*x+3)^3*(4*x^4-5*x^3+3*x^2+x+2),x,2,(5*d^2-2*d*e+3*e^2)^3*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*(e*x+d)^(1+m)/e^11/(1+m)-(5*d^2-2*d*e+3*e^2)^2*(200*d^5+169*d^4*e+108*d^3*e^2-20*d^2*e^3+86*d*e^4-15*e^5)*(e*x+d)^(2+m)/e^11/(2+m)+3*(5*d^2-2*d*e+3*e^2)*(1500*d^6+660*d^5*e+792*d^4*e^2+58*d^3*e^3+547*d^2*e^4-156*d*e^5+53*e^6)*(e*x+d)^(3+m)/e^11/(3+m)-2*(30000*d^7+1050*d^6*e+21420*d^5*e^2+1715*d^4*e^3+9990*d^3*e^4-2550*d^2*e^5+2218*d*e^6-287*e^7)*(e*x+d)^(4+m)/e^11/(4+m)+(105000*d^6+3150*d^5*e+53550*d^4*e^2+3430*d^3*e^3+14985*d^2*e^4-2550*d*e^5+1109*e^6)*(e*x+d)^(5+m)/e^11/(5+m)-6*(21000*d^5+525*d^4*e+7140*d^3*e^2+343*d^2*e^3+999*d*e^4-85*e^5)*(e*x+d)^(6+m)/e^11/(6+m)+(105000*d^4+2100*d^3*e+21420*d^2*e^2+686*d*e^3+999*e^4)*(e*x+d)^(7+m)/e^11/(7+m)-2*(30000*d^3+450*d^2*e+3060*d*e^2+49*e^3)*(e*x+d)^(8+m)/e^11/(8+m)+45*(500*d^2+5*d*e+17*e^2)*(e*x+d)^(9+m)/e^11/(9+m)-25*(200*d+e)*(e*x+d)^(10+m)/e^11/(10+m)+500*(e*x+d)^(11+m)/e^11/(11+m),1],
[(e*x+d)^m*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x,2,(5*d^2-2*d*e+3*e^2)^2*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*(e*x+d)^(1+m)/e^9/(1+m)-(5*d^2-2*d*e+3*e^2)*(160*d^5+127*d^4*e+88*d^3*e^2-4*d^2*e^3+64*d*e^4-11*e^5)*(e*x+d)^(2+m)/e^9/(2+m)+(2800*d^6+945*d^5*e+1665*d^4*e^2+370*d^3*e^3+888*d^2*e^4-195*d*e^5+107*e^6)*(e*x+d)^(3+m)/e^9/(3+m)-(5600*d^5+1575*d^4*e+2220*d^3*e^2+370*d^2*e^3+592*d*e^4-65*e^5)*(e*x+d)^(4+m)/e^9/(4+m)+(7000*d^4+1575*d^3*e+1665*d^2*e^2+185*d*e^3+148*e^4)*(e*x+d)^(5+m)/e^9/(5+m)-(5600*d^3+945*d^2*e+666*d*e^2+37*e^3)*(e*x+d)^(6+m)/e^9/(6+m)+(2800*d^2+315*d*e+111*e^2)*(e*x+d)^(7+m)/e^9/(7+m)-5*(160*d+9*e)*(e*x+d)^(8+m)/e^9/(8+m)+100*(e*x+d)^(9+m)/e^9/(9+m),1],
[(e*x+d)^m*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x,2,(5*d^2-2*d*e+3*e^2)*(4*d^4+5*d^3*e+3*d^2*e^2-d*e^3+2*e^4)*(e*x+d)^(1+m)/e^7/(1+m)-(120*d^5+85*d^4*e+68*d^3*e^2+12*d^2*e^3+42*d*e^4-7*e^5)*(e*x+d)^(2+m)/e^7/(2+m)+(300*d^4+170*d^3*e+102*d^2*e^2+12*d*e^3+21*e^4)*(e*x+d)^(3+m)/e^7/(3+m)-2*(200*d^3+85*d^2*e+34*d*e^2+2*e^3)*(e*x+d)^(4+m)/e^7/(4+m)+(300*d^2+85*d*e+17*e^2)*(e*x+d)^(5+m)/e^7/(5+m)-(120*d+17*e)*(e*x+d)^(6+m)/e^7/(6+m)+20*(e*x+d)^(7+m)/e^7/(7+m),1],
[(e*x+d)^m*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x,4,1/125*(100*d^2+165*d*e+81*e^2)*(e*x+d)^(1+m)/e^3/(1+m)-1/25*(40*d+33*e)*(e*x+d)^(2+m)/e^3/(2+m)+4/5*(e*x+d)^(3+m)/e^3/(3+m)-1/3500*(6412*I+423*sqrt(14))*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],5*(e*x+d)/(5*d-e-I*sqrt(14)*e))/(5*I*d-(I-sqrt(14))*e)/(1+m)-1/3500*(6412*I-423*sqrt(14))*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],5*(e*x+d)/(5*d-e+I*sqrt(14)*e))/(5*I*d-(I+sqrt(14))*e)/(1+m),1],
[(e*x+d)^m*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x,5,4/25*(e*x+d)^(1+m)/e/(1+m)-1/700*(1367*d-293*e+(423*d-1367*e)*x)*(e*x+d)^(1+m)/(5*d^2-2*d*e+3*e^2)/(5*x^2+2*x+3)+1/19600*(80360*d^2-32144*d*e+48216*e^2-I*sqrt(14)*(6565*d^2-2*d*e*(1313-3206*m)+e^2*(3939-98*m))-5922*d*e*m+19138*e^2*m)*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],5*(e*x+d)/(5*d-e-I*sqrt(14)*e))/(5*d-(1+I*sqrt(14))*e)/(5*d^2-2*d*e+3*e^2)/(1+m)+1/19600*(80360*d^2-32144*d*e+48216*e^2+I*sqrt(14)*(6565*d^2-2*d*e*(1313-3206*m)+e^2*(3939-98*m))-5922*d*e*m+19138*e^2*m)*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],5*(e*x+d)/(5*d-e+I*sqrt(14)*e))/(5*d+I*(I+sqrt(14))*e)/(5*d^2-2*d*e+3*e^2)/(1+m),1]]: