lst:=[[(D*x^3+C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^2,x,2,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^2/(-a*d+b*c)^2/(b*x+a)-(A*d^3-B*c*d^2+C*c^2*d-D*c^3)/d^2/(-a*d+b*c)^2/(d*x+c)+(b^3*(-2*A*d+B*c)-a*b^2*(-B*d+2*C*c)+3*a^2*b*c*D-a^3*d*D)*ln(b*x+a)/b^2/(-a*d+b*c)^3+(a*d*(-B*d^2+2*C*c*d-3*D*c^2)-b*(-2*A*d^3+B*c*d^2-D*c^3))*ln(d*x+c)/d^2/(-a*d+b*c)^3,1], [(D*x^3+C*x^2+B*x+A)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^2/(-a*d+b*c)^2/(b*x+a)-(A*d^3-B*c*d^2+C*c^2*d-D*c^3)/d^2/(-a*d+b*c)^2/(d*x+c)+(b^3*(-2*A*d+B*c)-a*b^2*(-B*d+2*C*c)+3*a^2*b*c*D-a^3*d*D)*ln(b*x+a)/b^2/(-a*d+b*c)^3+(a*d*(-B*d^2+2*C*c*d-3*D*c^2)-b*(-2*A*d^3+B*c*d^2-D*c^3))*ln(d*x+c)/d^2/(-a*d+b*c)^3,1], [(c*x^2+b*x+a)^4*(C*x^2+A),x,2,a^4*A*x+2*a^3*A*b*x^2+1/3*a^2*(4*A*a*c+6*A*b^2+C*a^2)*x^3+a*b*(A*(3*a*c+b^2)+a^2*C)*x^4+1/5*(A*(6*a^2*c^2+12*a*b^2*c+b^4)+2*a^2*(2*a*c+3*b^2)*C)*x^5+2/3*b*(3*a*c+b^2)*(A*c+C*a)*x^6+1/7*(2*A*c^2*(2*a*c+3*b^2)+(6*a^2*c^2+12*a*b^2*c+b^4)*C)*x^7+1/2*b*c*(A*c^2+(3*a*c+b^2)*C)*x^8+1/9*c^2*(A*c^2+4*C*a*c+6*C*b^2)*x^9+2/5*b*c^3*C*x^10+1/11*c^4*C*x^11,1], [(c*x^2+b*x+a)^3*(C*x^2+A),x,2,a^3*A*x+3/2*a^2*A*b*x^2+1/3*a*(3*A*(a*c+b^2)+a^2*C)*x^3+1/4*b*(A*(6*a*c+b^2)+3*a^2*C)*x^4+3/5*(a*c+b^2)*(A*c+C*a)*x^5+1/6*b*(3*A*c^2+(6*a*c+b^2)*C)*x^6+1/7*c*(A*c^2+3*(a*c+b^2)*C)*x^7+3/8*b*c^2*C*x^8+1/9*c^3*C*x^9,1], [(c*x^2+b*x+a)^2*(C*x^2+A),x,2,a^2*A*x+a*A*b*x^2+1/3*(A*(2*a*c+b^2)+a^2*C)*x^3+1/2*b*(A*c+C*a)*x^4+1/5*(A*c^2+(2*a*c+b^2)*C)*x^5+1/3*b*c*C*x^6+1/7*c^2*C*x^7,1], [(c*x^2+b*x+a)*(C*x^2+A),x,2,a*A*x+1/2*A*b*x^2+1/3*(A*c+C*a)*x^3+1/4*b*C*x^4+1/5*c*C*x^5,1], [(C*x^2+A)/(c*x^2+b*x+a),x,6,C*x/c-(2*A*c^2+(-2*a*c+b^2)*C)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)-1/2*b*C*ln(c*x^2+b*x+a)/c^2,1], [(C*x^2+A)/(c*x^2+b*x+a)^2,x,3,-(b*(A*c+C*a)+(2*A*c^2+(-2*a*c+b^2)*C)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)+4*(A*c+C*a)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1], [(C*x^2+A)/(c*x^2+b*x+a)^3,x,4,-1/2*(b*(A*c+C*a)+(2*A*c^2+(-2*a*c+b^2)*C)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+1/2*(6*A*c^2+(2*a*c+b^2)*C)*(2*c*x+b)/c/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-2*(6*A*c^2+(2*a*c+b^2)*C)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1], [(C*x^2+A)/(c*x^2+b*x+a)^4,x,5,-1/3*(b*(A*c+C*a)+(2*A*c^2+(-2*a*c+b^2)*C)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^3+1/3*(5*A*c^2+(a*c+b^2)*C)*(2*c*x+b)/c/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^2-2*(5*A*c^2+(a*c+b^2)*C)*(2*c*x+b)/(-4*a*c+b^2)^3/(c*x^2+b*x+a)+8*c*(5*A*c^2+(a*c+b^2)*C)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2),1], [(x^2+1)/(x^2+x+1),x,6,x+arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*ln(x^2+x+1),1], [(-x^2+1)/(x^2+x+1)^2,x,1,x/(x^2+x+1),1], [(x^2-1)/(x^2-6*x+25),x,6,x-2*arctan(-3/4+1/4*x)+3*ln(x^2-6*x+25),1], [(3*x^2-10)/(x^2-4*x+4),x,3,2/(2-x)+3*x+12*ln(2-x),1], [(x^2+8)/(x^2-5*x+6),x,4,x-12*ln(2-x)+17*ln(3-x),1], [(x^2+3*x-4)/(x^2-2*x-8),x,4,x+4*ln(4-x)+ln(2+x),1], [(4*x^2+5*x+7)/(4*x^2+4*x+5),x,6,x+3/8*arctan(1/2+x)+1/8*ln(4*x^2+4*x+5),1], [(x^2-x+2)/(x^2+2*x-5),x,4,x-1/6*(9-5*sqrt(6))*ln(1-sqrt(6)+x)-1/6*(9+5*sqrt(6))*ln(1+sqrt(6)+x),1], [(3*x^2+4*x+1)/(2*x^2+7*x+4)^2,x,1,-1/2*(2+3*x)/(2*x^2+7*x+4),1], [(x^2+x+1)/(x^2+2*x+3)^2,x,3,(1-x)/(4*x^2+8*x+12)+3/4*arctan((1+x)/sqrt(2))/sqrt(2),1], [(5*x^2+2*x-1)/(x^2+x+1)^4,x,1,-x/(x^2+x+1)^3,1], [(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a)^3,x,6,-1/2*(a*b^3*c*h+b*c^2*(-3*a^2*h+a*c*f+c^2*d)-a*b^4*i-a*b^2*c*(-4*a*i+c*g)-2*a*c^2*(a^2*i-a*c*g+c^2*e)+(2*c^5*d-c^4*(2*a*f+b*e)+c^3*(2*a^2*h+3*a*b*g+b^2*f)-b^5*i+b^3*c*(5*a*i+b*h)-b*c^2*(5*a^2*i+4*a*b*h+b^2*g))*x)/c^4/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+1/2*(b^5*c*h+b^3*c^2*(-8*a*h+c*f)+2*b*c^3*(11*a^2*h+a*c*f+3*c^2*d)-b^6*i-b^4*c*(-11*a*i+c*g)-16*a^2*c^3*(-2*a*i+c*g)-b^2*c^2*(39*a^2*i-5*a*c*g+3*c^2*e)+2*c*(6*c^5*d-c^4*(-2*a*f+3*b*e)+c^3*(-10*a^2*h-3*a*b*g+b^2*f)+2*b^5*i-b^3*c*(15*a*i+b*h)+a*b*c^2*(25*a*i+8*b*h))*x)/c^4/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-(12*c^5*d-c^4*(-4*a*f+6*b*e)+2*c^3*(6*a^2*h-3*a*b*g+b^2*f)-b^5*i+10*a*b^3*c*i-30*a^2*b*c^2*i)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(5/2)+1/2*i*ln(c*x^2+b*x+a)/c^3,1], [(m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a),x,6,(c^6*f-c^5*(a*h+b*g)+c^4*(a^2*k+2*a*b*j+b^2*h)+b^6*m-b^4*c*(5*a*m+b*l)+b^2*c^2*(6*a^2*m+4*a*b*l+b^2*k)-c^3*(a^3*m+3*a^2*b*l+3*a*b^2*k+b^3*j))*x/c^7+1/2*(c^5*g-c^4*(a*j+b*h)+c^3*(a^2*l+2*a*b*k+b^2*j)-b^5*m+b^3*c*(4*a*m+b*l)-b*c^2*(3*a^2*m+3*a*b*l+b^2*k))*x^2/c^6+1/3*(c^4*h-c^3*(a*k+b*j)+b^4*m-b^2*c*(3*a*m+b*l)+c^2*(a^2*m+2*a*b*l+b^2*k))*x^3/c^5+1/4*(c^3*j-c^2*(a*l+b*k)-b^3*m+b*c*(2*a*m+b*l))*x^4/c^4+1/5*(c^2*k+b^2*m-c*(a*m+b*l))*x^5/c^3+1/6*(-b*m+c*l)*x^6/c^2+1/7*m*x^7/c-(2*c^8*d-c^7*(2*a*f+b*e)+c^6*(2*a^2*h+3*a*b*g+b^2*f)-c^5*(2*a^3*k+5*a^2*b*j+4*a*b^2*h+b^3*g)+b^8*m-b^6*c*(8*a*m+b*l)+b^4*c^2*(20*a^2*m+7*a*b*l+b^2*k)-b^2*c^3*(16*a^3*m+14*a^2*b*l+6*a*b^2*k+b^3*j)+c^4*(2*a^4*m+7*a^3*b*l+9*a^2*b^2*k+5*a*b^3*j+b^4*h))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^8/sqrt(-4*a*c+b^2)+1/2*(c^7*e-c^6*(a*g+b*f)+c^5*(a^2*j+2*a*b*h+b^2*g)-c^4*(a^3*l+3*a^2*b*k+3*a*b^2*j+b^3*h)-b^7*m+b^5*c*(6*a*m+b*l)-b^3*c^2*(10*a^2*m+5*a*b*l+b^2*k)+b*c^3*(4*a^3*m+6*a^2*b*l+4*a*b^2*k+b^3*j))*ln(c*x^2+b*x+a)/c^8,1], [(x^3-3)/(x^2-6*x-7),x,4,6*x+1/2*x^2+85/2*ln(7-x)+1/2*ln(1+x),1], [(x^3+1)/(x^2+4*x+13)^2,x,5,(67+47*x)/(18*x^2+72*x+234)-61/54*arctan(2/3+1/3*x)+1/2*ln(x^2+4*x+13),1], [(c*x^2+b*x+a)^(5/2)*(C*x^2+A),x,7,5/16384*(-4*a*c+b^2)^2*(32*A*c^2-4*C*a*c+9*C*b^2)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5-5/6144*(-4*a*c+b^2)*(32*A*c^2-4*C*a*c+9*C*b^2)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+1/384*(32*A*c^2-4*C*a*c+9*C*b^2)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^3-9/112*b*C*(c*x^2+b*x+a)^(7/2)/c^2+1/8*C*x*(c*x^2+b*x+a)^(7/2)/c-5/32768*(-4*a*c+b^2)^3*(32*A*c^2-4*C*a*c+9*C*b^2)*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)*(C*x^2+A),x,6,-1/512*(-4*a*c+b^2)*(24*A*c^2-4*C*a*c+7*C*b^2)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/192*(24*A*c^2-4*C*a*c+7*C*b^2)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3-7/60*b*C*(c*x^2+b*x+a)^(5/2)/c^2+1/6*C*x*(c*x^2+b*x+a)^(5/2)/c+1/1024*(-4*a*c+b^2)^2*(24*A*c^2-4*C*a*c+7*C*b^2)*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)*(C*x^2+A),x,5,1/64*(16*A*c^2-4*C*a*c+5*C*b^2)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3-5/24*b*C*(c*x^2+b*x+a)^(3/2)/c^2+1/4*C*x*(c*x^2+b*x+a)^(3/2)/c-1/128*(-4*a*c+b^2)*(16*A*c^2-4*C*a*c+5*C*b^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1], [(C*x^2+A)/sqrt(c*x^2+b*x+a),x,4,-3/4*b*C*sqrt(c*x^2+b*x+a)/c^2+1/2*C*x*sqrt(c*x^2+b*x+a)/c+1/8*(8*A*c^2-4*C*a*c+3*C*b^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1], [(C*x^2+A)/(c*x^2+b*x+a)^(3/2),x,3,(-2*b*(A*c+C*a)-2*(2*A*c^2+(-2*a*c+b^2)*C)*x)/c/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+C*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1], [(C*x^2+A)/(c*x^2+b*x+a)^(5/2),x,2,1/3*(-2*b*(A*c+C*a)-2*(2*A*c^2+(-2*a*c+b^2)*C)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+2/3*(8*A*c^2+(4*a*c+b^2)*C)*(2*c*x+b)/c/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1], [(C*x^2+A)/(c*x^2+b*x+a)^(7/2),x,3,1/5*(-2*b*(A*c+C*a)-2*(2*A*c^2+(-2*a*c+b^2)*C)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)+2/15*(16*A*c^2+4*C*a*c+3*C*b^2)*(2*c*x+b)/c/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)-16/15*(16*A*c^2+4*C*a*c+3*C*b^2)*(2*c*x+b)/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a),1], [(C*x^2+A)/(c*x^2+b*x+a)^(9/2),x,4,1/7*(-2*b*(A*c+C*a)-2*(2*A*c^2+(-2*a*c+b^2)*C)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^(7/2)+2/35*(24*A*c^2+4*C*a*c+5*C*b^2)*(2*c*x+b)/c/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(5/2)-32/105*(24*A*c^2+4*C*a*c+5*C*b^2)*(2*c*x+b)/(-4*a*c+b^2)^3/(c*x^2+b*x+a)^(3/2)+256/105*c*(24*A*c^2+4*C*a*c+5*C*b^2)*(2*c*x+b)/(-4*a*c+b^2)^4/sqrt(c*x^2+b*x+a),1], [(e*x+d)^2*(g*x+f)/(c*x^2+b*x+a)^(5/2),x,2,-2/3*(e*x+d)^2*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+8/3*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1], [(d^2*f+d*(d*g+2*e*f)*x+e*(2*d*g+e*f)*x^2+e^2*g*x^3)/(c*x^2+b*x+a)^(5/2),x,3,-2/3*(e*x+d)^2*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+8/3*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1], [(e*x+d)^4*(g*x+f)/(c*x^2+b*x+a)^(7/2),x,3,-2/5*(e*x+d)^4*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)+16/15*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)-128/15*(a*e^2-b*d*e+c*d^2)*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a),1], [(d^4*f+d^3*(d*g+4*e*f)*x+2*d^2*e*(2*d*g+3*e*f)*x^2+2*d*e^2*(3*d*g+2*e*f)*x^3+e^3*(4*d*g+e*f)*x^4+e^4*g*x^5)/(c*x^2+b*x+a)^(7/2),x,4,-2/5*(e*x+d)^4*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)+16/15*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)-128/15*(a*e^2-b*d*e+c*d^2)*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a),1]]: