lst:=[[(b*x+a)^4*(D*x^3+C*x^2+B*x+A),x,2,1/5*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*(b*x+a)^5/b^4+1/6*(B*b^2-2*C*a*b+3*D*a^2)*(b*x+a)^6/b^4+1/7*(C*b-3*D*a)*(b*x+a)^7/b^4+1/8*D*(b*x+a)^8/b^4,1],
[(b*x+a)^3*(D*x^3+C*x^2+B*x+A),x,2,1/4*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*(b*x+a)^4/b^4+1/5*(B*b^2-2*C*a*b+3*D*a^2)*(b*x+a)^5/b^4+1/6*(C*b-3*D*a)*(b*x+a)^6/b^4+1/7*D*(b*x+a)^7/b^4,1],
[(b*x+a)^2*(D*x^3+C*x^2+B*x+A),x,2,1/3*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*(b*x+a)^3/b^4+1/4*(B*b^2-2*C*a*b+3*D*a^2)*(b*x+a)^4/b^4+1/5*(C*b-3*D*a)*(b*x+a)^5/b^4+1/6*D*(b*x+a)^6/b^4,1],
[(b*x+a)*(D*x^3+C*x^2+B*x+A),x,2,a*A*x+1/2*(A*b+B*a)*x^2+1/3*(B*b+C*a)*x^3+1/4*(C*b+D*a)*x^4+1/5*b*D*x^5,1],
[D*x^3+C*x^2+B*x+A,x,1,A*x+1/2*B*x^2+1/3*C*x^3+1/4*D*x^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a),x,2,(B*b^2-C*a*b+D*a^2)*x/b^3+1/2*(C*b-D*a)*x^2/b^2+1/3*D*x^3/b+(A*b^3-a*(B*b^2-C*a*b+D*a^2))*ln(b*x+a)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^2,x,2,(C*b-2*D*a)*x/b^3+1/2*D*x^2/b^2-(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)+(B*b^2-2*C*a*b+3*D*a^2)*ln(b*x+a)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^3,x,2,D*x/b^3-1/2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)^2-(B*b^2-2*C*a*b+3*D*a^2)/b^4/(b*x+a)+(C*b-3*D*a)*ln(b*x+a)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^4,x,2,-1/3*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)^3-1/2*(B*b^2-2*C*a*b+3*D*a^2)/b^4/(b*x+a)^2-(C*b-3*D*a)/b^4/(b*x+a)+D*ln(b*x+a)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^5,x,2,-1/4*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)^4-1/3*(B*b^2-2*C*a*b+3*D*a^2)/b^4/(b*x+a)^3-1/2*(C*b-3*D*a)/b^4/(b*x+a)^2-D/b^4/(b*x+a),1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^6,x,2,-1/5*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)^5-1/4*(B*b^2-2*C*a*b+3*D*a^2)/b^4/(b*x+a)^4-1/3*(C*b-3*D*a)/b^4/(b*x+a)^3-1/2*D/b^4/(b*x+a)^2,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^7,x,2,-1/6*(A*b^3-a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)^6-1/5*(B*b^2-2*C*a*b+3*D*a^2)/b^4/(b*x+a)^5-1/4*(C*b-3*D*a)/b^4/(b*x+a)^4-1/3*D/b^4/(b*x+a)^3,1],
[(2*x^3+3*x^2+4)/(1+x)^4,x,2,-5/3/(1+x)^3+3/(1+x)+2*ln(1+x),1],
[(x^4-x^3+3*x^2-2*x+7)/(2+x),x,2,-20*x+9/2*x^2-x^3+1/4*x^4+47*ln(2+x),1],
[x*(d*x^4+c)^2/(b*x+a),x,2,(a^4*d+b^4*c)^2*x/b^9-1/2*a^3*d*(a^4*d+2*b^4*c)*x^2/b^8+1/3*a^2*d*(a^4*d+2*b^4*c)*x^3/b^7-1/4*a*d*(a^4*d+2*b^4*c)*x^4/b^6+1/5*d*(a^4*d+2*b^4*c)*x^5/b^5-1/6*a^3*d^2*x^6/b^4+1/7*a^2*d^2*x^7/b^3-1/8*a*d^2*x^8/b^2+1/9*d^2*x^9/b-a*(a^4*d+b^4*c)^2*ln(b*x+a)/b^10,1],
[x*(d*x^4+c)^2/(b*x+a)^2,x,2,-8*a^3*d*(a^4*d+b^4*c)*x/b^9+1/2*a^2*d*(7*a^4*d+6*b^4*c)*x^2/b^8-2/3*a*d*(3*a^4*d+2*b^4*c)*x^3/b^7+1/4*d*(5*a^4*d+2*b^4*c)*x^4/b^6-4/5*a^3*d^2*x^5/b^5+1/2*a^2*d^2*x^6/b^4-2/7*a*d^2*x^7/b^3+1/8*d^2*x^8/b^2+a*(a^4*d+b^4*c)^2/b^10/(b*x+a)+(a^4*d+b^4*c)*(9*a^4*d+b^4*c)*ln(b*x+a)/b^10,1],
[x*(d*x^4+c)^2/(b*x+a)^3,x,2,4*a^2*d*(7*a^4*d+3*b^4*c)*x/b^9-3/2*a*d*(7*a^4*d+2*b^4*c)*x^2/b^8+1/3*d*(15*a^4*d+2*b^4*c)*x^3/b^7-5/2*a^3*d^2*x^4/b^6+6/5*a^2*d^2*x^5/b^5-1/2*a*d^2*x^6/b^4+1/7*d^2*x^7/b^3+1/2*a*(a^4*d+b^4*c)^2/b^10/(b*x+a)^2-(a^4*d+b^4*c)*(9*a^4*d+b^4*c)/b^10/(b*x+a)-4*a^3*d*(9*a^4*d+5*b^4*c)*ln(b*x+a)/b^10,1],
[(b*x+a)^(3/2)*(D*x^3+C*x^2+B*x+A),x,2,2/5*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*(b*x+a)^(5/2)/b^4+2/7*(B*b^2-2*C*a*b+3*D*a^2)*(b*x+a)^(7/2)/b^4+2/9*(C*b-3*D*a)*(b*x+a)^(9/2)/b^4+2/11*D*(b*x+a)^(11/2)/b^4,1],
[sqrt(b*x+a)*(D*x^3+C*x^2+B*x+A),x,2,2/3*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*(b*x+a)^(3/2)/b^4+2/5*(B*b^2-2*C*a*b+3*D*a^2)*(b*x+a)^(5/2)/b^4+2/7*(C*b-3*D*a)*(b*x+a)^(7/2)/b^4+2/9*D*(b*x+a)^(9/2)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/sqrt(b*x+a),x,2,2*(A*b^3-a*(B*b^2-C*a*b+D*a^2))*sqrt(b*x+a)/b^4+2/3*(B*b^2-2*C*a*b+3*D*a^2)*(b*x+a)^(3/2)/b^4+2/5*(C*b-3*D*a)*(b*x+a)^(5/2)/b^4+2/7*D*(b*x+a)^(7/2)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2),x,2,(-2*A*b^3+2*a*(B*b^2-C*a*b+D*a^2))/b^4/sqrt(b*x+a)+2*(B*b^2-2*C*a*b+3*D*a^2)*sqrt(b*x+a)/b^4+2/3*(C*b-3*D*a)*(b*x+a)^(3/2)/b^4+2/5*D*(b*x+a)^(5/2)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2),x,2,1/3*(-2*A*b^3+2*a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)^(3/2)-2*(B*b^2-2*C*a*b+3*D*a^2)/b^4/sqrt(b*x+a)+2*(C*b-3*D*a)*sqrt(b*x+a)/b^4+2/3*D*(b*x+a)^(3/2)/b^4,1],
[(D*x^3+C*x^2+B*x+A)/(b*x+a)^(7/2),x,2,1/5*(-2*A*b^3+2*a*(B*b^2-C*a*b+D*a^2))/b^4/(b*x+a)^(5/2)-2/3*(B*b^2-2*C*a*b+3*D*a^2)/b^4/(b*x+a)^(3/2)-2*(C*b-3*D*a)/b^4/sqrt(b*x+a)+2*D*sqrt(b*x+a)/b^4,1],
[(e*x^2+d*x+c)/sqrt(b*x+a),x,2,2*(a^2*e-a*b*d+b^2*c)*sqrt(b*x+a)/b^3+2/3*(-2*a*e+b*d)*(b*x+a)^(3/2)/b^3+2/5*e*(b*x+a)^(5/2)/b^3,1],
[(e*x^2+d*x+c)^2/sqrt(b*x+a),x,2,2*(a^2*e-a*b*d+b^2*c)^2*sqrt(b*x+a)/b^5+4/3*(-2*a*e+b*d)*(a^2*e-a*b*d+b^2*c)*(b*x+a)^(3/2)/b^5-2/5*(6*a*b*d*e-6*a^2*e^2-b^2*(2*c*e+d^2))*(b*x+a)^(5/2)/b^5+4/7*e*(-2*a*e+b*d)*(b*x+a)^(7/2)/b^5+2/9*e^2*(b*x+a)^(9/2)/b^5,1],
[(e*x^2+d*x+c)^3/sqrt(b*x+a),x,2,2*(a^2*e-a*b*d+b^2*c)^3*sqrt(b*x+a)/b^7+2*(-2*a*e+b*d)*(a^2*e-a*b*d+b^2*c)^2*(b*x+a)^(3/2)/b^7-6/5*(a^2*e-a*b*d+b^2*c)*(5*a*b*d*e-5*a^2*e^2-b^2*(c*e+d^2))*(b*x+a)^(5/2)/b^7-2/7*(-2*a*e+b*d)*(10*a*b*d*e-10*a^2*e^2-b^2*(6*c*e+d^2))*(b*x+a)^(7/2)/b^7-2/3*e*(5*a*b*d*e-5*a^2*e^2-b^2*(c*e+d^2))*(b*x+a)^(9/2)/b^7+6/11*e^2*(-2*a*e+b*d)*(b*x+a)^(11/2)/b^7+2/13*e^3*(b*x+a)^(13/2)/b^7,1],
[(f*x^3+e*x^2+d*x+c)/sqrt(b*x+a),x,2,2*(-a^3*f+a^2*b*e-a*b^2*d+b^3*c)*sqrt(b*x+a)/b^4+2/3*(3*a^2*f-2*a*b*e+b^2*d)*(b*x+a)^(3/2)/b^4+2/5*(-3*a*f+b*e)*(b*x+a)^(5/2)/b^4+2/7*f*(b*x+a)^(7/2)/b^4,1],
[(f*x^3+e*x^2+d*x+c)^2/sqrt(b*x+a),x,2,2*(-a^3*f+a^2*b*e-a*b^2*d+b^3*c)^2*sqrt(b*x+a)/b^7+4/3*(3*a^2*f-2*a*b*e+b^2*d)*(-a^3*f+a^2*b*e-a*b^2*d+b^3*c)*(b*x+a)^(3/2)/b^7+2/5*(b^4*(2*c*e+d^2)-20*a^3*b*e*f+15*a^4*f^2-6*a*b^3*(c*f+d*e)+6*a^2*b^2*(2*d*f+e^2))*(b*x+a)^(5/2)/b^7+4/7*(10*a^2*b*e*f-10*a^3*f^2+b^3*(c*f+d*e)-2*a*b^2*(2*d*f+e^2))*(b*x+a)^(7/2)/b^7-2/9*(10*a*b*e*f-15*a^2*f^2-b^2*(2*d*f+e^2))*(b*x+a)^(9/2)/b^7+4/11*f*(-3*a*f+b*e)*(b*x+a)^(11/2)/b^7+2/13*f^2*(b*x+a)^(13/2)/b^7,1],
[(f*x^3+e*x^2+d*x+c)^3/sqrt(b*x+a),x,2,2*(-a^3*f+a^2*b*e-a*b^2*d+b^3*c)^3*sqrt(b*x+a)/b^10+2*(3*a^2*f-2*a*b*e+b^2*d)*(-a^3*f+a^2*b*e-a*b^2*d+b^3*c)^2*(b*x+a)^(3/2)/b^10+6/5*(-a^3*f+a^2*b*e-a*b^2*d+b^3*c)*(b^4*(c*e+d^2)-16*a^3*b*e*f+12*a^4*f^2-a*b^3*(3*c*f+5*d*e)+a^2*b^2*(9*d*f+5*e^2))*(b*x+a)^(5/2)/b^10-2/7*(168*a^5*b*e*f^2-84*a^6*f^3-b^6*(3*c^2*f+6*c*d*e+d^3)-105*a^4*b^2*f*(d*f+e^2)+12*a*b^5*(2*c*d*f+c*e^2+d^2*e)-30*a^2*b^4*(2*c*e*f+d^2*f+d*e^2)+20*a^3*b^3*(3*c*f^2+6*d*e*f+e^3))*(b*x+a)^(7/2)/b^10+2/3*(70*a^4*b*e*f^2-42*a^5*f^3-35*a^3*b^2*f*(d*f+e^2)+b^5*(2*c*d*f+c*e^2+d^2*e)-5*a*b^4*(2*c*e*f+d^2*f+d*e^2)+5*a^2*b^3*(3*c*f^2+6*d*e*f+e^3))*(b*x+a)^(9/2)/b^10-6/11*(56*a^3*b*e*f^2-42*a^4*f^3-21*a^2*b^2*f*(d*f+e^2)-b^4*(2*c*e*f+d^2*f+d*e^2)+2*a*b^3*(3*c*f^2+6*d*e*f+e^3))*(b*x+a)^(11/2)/b^10+2/13*(84*a^2*b*e*f^2-84*a^3*f^3-21*a*b^2*f*(d*f+e^2)+b^3*(3*c*f^2+6*d*e*f+e^3))*(b*x+a)^(13/2)/b^10-2/5*f*(8*a*b*e*f-12*a^2*f^2-b^2*(d*f+e^2))*(b*x+a)^(15/2)/b^10+6/17*f^2*(-3*a*f+b*e)*(b*x+a)^(17/2)/b^10+2/19*f^3*(b*x+a)^(19/2)/b^10,1],
[(b*x+a)^m*(D*x^3+C*x^2+B*x+A),x,2,(A*b^3-a*(B*b^2-C*a*b+D*a^2))*(b*x+a)^(1+m)/b^4/(1+m)+(B*b^2-2*C*a*b+3*D*a^2)*(b*x+a)^(2+m)/b^4/(2+m)+(C*b-3*D*a)*(b*x+a)^(3+m)/b^4/(3+m)+D*(b*x+a)^(4+m)/b^4/(4+m),1]]: