lst:=[[(b*x+a)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^p,x,3,(b*c*x+a*c)^(2+m)*(b^2*x^2+2*a*b*x+a^2)^p/b/c^2/(2+m+2*p),1],
[(b*x+a)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^3,x,3,(b*c*x+a*c)^(8+m)/b/c^8/(8+m),1],
[(b*x+a)*(b*c*x+a*c)^m/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-c^4*(b*c*x+a*c)^(-4+m)/b/(4-m),1],
[(b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2),x,3,-1/6*(-a*e+b*d)^3*(e*x+d)^6/e^4+3/7*b*(-a*e+b*d)^2*(e*x+d)^7/e^4-3/8*b^2*(-a*e+b*d)*(e*x+d)^8/e^4+1/9*b^3*(e*x+d)^9/e^4,1],
[(b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2),x,3,-1/5*(-a*e+b*d)^3*(e*x+d)^5/e^4+1/2*b*(-a*e+b*d)^2*(e*x+d)^6/e^4-3/7*b^2*(-a*e+b*d)*(e*x+d)^7/e^4+1/8*b^3*(e*x+d)^8/e^4,1],
[(b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2),x,3,1/4*(-a*e+b*d)^3*(b*x+a)^4/b^4+3/5*e*(-a*e+b*d)^2*(b*x+a)^5/b^4+1/2*e^2*(-a*e+b*d)*(b*x+a)^6/b^4+1/7*e^3*(b*x+a)^7/b^4,1],
[(b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2),x,3,1/4*(-a*e+b*d)^2*(b*x+a)^4/b^3+2/5*e*(-a*e+b*d)*(b*x+a)^5/b^3+1/6*e^2*(b*x+a)^6/b^3,1],
[(b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x,3,1/4*(-a*e+b*d)*(b*x+a)^4/b^2+1/5*e*(b*x+a)^5/b^2,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2),x,2,1/4*(b*x+a)^4/b,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x,3,b*(-a*e+b*d)^2*x/e^3-1/2*(-a*e+b*d)*(b*x+a)^2/e^2+1/3*(b*x+a)^3/e-(-a*e+b*d)^3*ln(e*x+d)/e^4,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x,3,-b^2*(-3*a*e+2*b*d)*x/e^3+1/2*b^3*x^2/e^2+(-a*e+b*d)^3/e^4/(e*x+d)+3*b*(-a*e+b*d)^2*ln(e*x+d)/e^4,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x,3,b^3*x/e^3+1/2*(-a*e+b*d)^3/e^4/(e*x+d)^2-3*b*(-a*e+b*d)^2/e^4/(e*x+d)-3*b^2*(-a*e+b*d)*ln(e*x+d)/e^4,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x,3,1/3*(-a*e+b*d)^3/e^4/(e*x+d)^3-3/2*b*(-a*e+b*d)^2/e^4/(e*x+d)^2+3*b^2*(-a*e+b*d)/e^4/(e*x+d)+b^3*ln(e*x+d)/e^4,1],
[(b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/7*(-a*e+b*d)^5*(e*x+d)^7/e^6+5/8*b*(-a*e+b*d)^4*(e*x+d)^8/e^6-10/9*b^2*(-a*e+b*d)^3*(e*x+d)^9/e^6+b^3*(-a*e+b*d)^2*(e*x+d)^10/e^6-5/11*b^4*(-a*e+b*d)*(e*x+d)^11/e^6+1/12*b^5*(e*x+d)^12/e^6,1],
[(b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/6*(-a*e+b*d)^5*(b*x+a)^6/b^6+5/7*e*(-a*e+b*d)^4*(b*x+a)^7/b^6+5/4*e^2*(-a*e+b*d)^3*(b*x+a)^8/b^6+10/9*e^3*(-a*e+b*d)^2*(b*x+a)^9/b^6+1/2*e^4*(-a*e+b*d)*(b*x+a)^10/b^6+1/11*e^5*(b*x+a)^11/b^6,1],
[(b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/6*(-a*e+b*d)^4*(b*x+a)^6/b^5+4/7*e*(-a*e+b*d)^3*(b*x+a)^7/b^5+3/4*e^2*(-a*e+b*d)^2*(b*x+a)^8/b^5+4/9*e^3*(-a*e+b*d)*(b*x+a)^9/b^5+1/10*e^4*(b*x+a)^10/b^5,1],
[(b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/6*(-a*e+b*d)^3*(b*x+a)^6/b^4+3/7*e*(-a*e+b*d)^2*(b*x+a)^7/b^4+3/8*e^2*(-a*e+b*d)*(b*x+a)^8/b^4+1/9*e^3*(b*x+a)^9/b^4,1],
[(b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/6*(-a*e+b*d)^2*(b*x+a)^6/b^3+2/7*e*(-a*e+b*d)*(b*x+a)^7/b^3+1/8*e^2*(b*x+a)^8/b^3,1],
[(b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/6*(-a*e+b*d)*(b*x+a)^6/b^2+1/7*e*(b*x+a)^7/b^2,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2,x,2,1/6*(b*x+a)^6/b,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d),x,3,b*(-a*e+b*d)^4*x/e^5-1/2*(-a*e+b*d)^3*(b*x+a)^2/e^4+1/3*(-a*e+b*d)^2*(b*x+a)^3/e^3-1/4*(-a*e+b*d)*(b*x+a)^4/e^2+1/5*(b*x+a)^5/e-(-a*e+b*d)^5*ln(e*x+d)/e^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^2,x,3,-10*b^2*(-a*e+b*d)^3*x/e^5+(-a*e+b*d)^5/e^6/(e*x+d)+5*b^3*(-a*e+b*d)^2*(e*x+d)^2/e^6-5/3*b^4*(-a*e+b*d)*(e*x+d)^3/e^6+1/4*b^5*(e*x+d)^4/e^6+5*b*(-a*e+b*d)^4*ln(e*x+d)/e^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^3,x,3,10*b^3*(-a*e+b*d)^2*x/e^5+1/2*(-a*e+b*d)^5/e^6/(e*x+d)^2-5*b*(-a*e+b*d)^4/e^6/(e*x+d)-5/2*b^4*(-a*e+b*d)*(e*x+d)^2/e^6+1/3*b^5*(e*x+d)^3/e^6-10*b^2*(-a*e+b*d)^3*ln(e*x+d)/e^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^4,x,3,-b^4*(-5*a*e+4*b*d)*x/e^5+1/2*b^5*x^2/e^4+1/3*(-a*e+b*d)^5/e^6/(e*x+d)^3-5/2*b*(-a*e+b*d)^4/e^6/(e*x+d)^2+10*b^2*(-a*e+b*d)^3/e^6/(e*x+d)+10*b^3*(-a*e+b*d)^2*ln(e*x+d)/e^6,1],
[(b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^3,x,3,1/8*(-a*e+b*d)^6*(b*x+a)^8/b^7+2/3*e*(-a*e+b*d)^5*(b*x+a)^9/b^7+3/2*e^2*(-a*e+b*d)^4*(b*x+a)^10/b^7+20/11*e^3*(-a*e+b*d)^3*(b*x+a)^11/b^7+5/4*e^4*(-a*e+b*d)^2*(b*x+a)^12/b^7+6/13*e^5*(-a*e+b*d)*(b*x+a)^13/b^7+1/14*e^6*(b*x+a)^14/b^7,1],
[(b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^3,x,3,1/8*(-a*e+b*d)^5*(b*x+a)^8/b^6+5/9*e*(-a*e+b*d)^4*(b*x+a)^9/b^6+e^2*(-a*e+b*d)^3*(b*x+a)^10/b^6+10/11*e^3*(-a*e+b*d)^2*(b*x+a)^11/b^6+5/12*e^4*(-a*e+b*d)*(b*x+a)^12/b^6+1/13*e^5*(b*x+a)^13/b^6,1],
[(b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^3,x,3,1/8*(-a*e+b*d)^4*(b*x+a)^8/b^5+4/9*e*(-a*e+b*d)^3*(b*x+a)^9/b^5+3/5*e^2*(-a*e+b*d)^2*(b*x+a)^10/b^5+4/11*e^3*(-a*e+b*d)*(b*x+a)^11/b^5+1/12*e^4*(b*x+a)^12/b^5,1],
[(b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^3,x,3,1/8*(-a*e+b*d)^3*(b*x+a)^8/b^4+1/3*e*(-a*e+b*d)^2*(b*x+a)^9/b^4+3/10*e^2*(-a*e+b*d)*(b*x+a)^10/b^4+1/11*e^3*(b*x+a)^11/b^4,1],
[(b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^3,x,3,1/8*(-a*e+b*d)^2*(b*x+a)^8/b^3+2/9*e*(-a*e+b*d)*(b*x+a)^9/b^3+1/10*e^2*(b*x+a)^10/b^3,1],
[(b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,1/8*(-a*e+b*d)*(b*x+a)^8/b^2+1/9*e*(b*x+a)^9/b^2,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3,x,2,1/8*(b*x+a)^8/b,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d),x,3,b*(-a*e+b*d)^6*x/e^7-1/2*(-a*e+b*d)^5*(b*x+a)^2/e^6+1/3*(-a*e+b*d)^4*(b*x+a)^3/e^5-1/4*(-a*e+b*d)^3*(b*x+a)^4/e^4+1/5*(-a*e+b*d)^2*(b*x+a)^5/e^3-1/6*(-a*e+b*d)*(b*x+a)^6/e^2+1/7*(b*x+a)^7/e-(-a*e+b*d)^7*ln(e*x+d)/e^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^2,x,3,-21*b^2*(-a*e+b*d)^5*x/e^7+(-a*e+b*d)^7/e^8/(e*x+d)+35/2*b^3*(-a*e+b*d)^4*(e*x+d)^2/e^8-35/3*b^4*(-a*e+b*d)^3*(e*x+d)^3/e^8+21/4*b^5*(-a*e+b*d)^2*(e*x+d)^4/e^8-7/5*b^6*(-a*e+b*d)*(e*x+d)^5/e^8+1/6*b^7*(e*x+d)^6/e^8+7*b*(-a*e+b*d)^6*ln(e*x+d)/e^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^3,x,3,35*b^3*(-a*e+b*d)^4*x/e^7+1/2*(-a*e+b*d)^7/e^8/(e*x+d)^2-7*b*(-a*e+b*d)^6/e^8/(e*x+d)-35/2*b^4*(-a*e+b*d)^3*(e*x+d)^2/e^8+7*b^5*(-a*e+b*d)^2*(e*x+d)^3/e^8-7/4*b^6*(-a*e+b*d)*(e*x+d)^4/e^8+1/5*b^7*(e*x+d)^5/e^8-21*b^2*(-a*e+b*d)^5*ln(e*x+d)/e^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^4,x,3,-35*b^4*(-a*e+b*d)^3*x/e^7+1/3*(-a*e+b*d)^7/e^8/(e*x+d)^3-7/2*b*(-a*e+b*d)^6/e^8/(e*x+d)^2+21*b^2*(-a*e+b*d)^5/e^8/(e*x+d)+21/2*b^5*(-a*e+b*d)^2*(e*x+d)^2/e^8-7/3*b^6*(-a*e+b*d)*(e*x+d)^3/e^8+1/4*b^7*(e*x+d)^4/e^8+35*b^3*(-a*e+b*d)^4*ln(e*x+d)/e^8,1],
[(b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x,4,e*(-a*e+b*d)^3*x/b^4+1/2*(-a*e+b*d)^2*(e*x+d)^2/b^3+1/3*(-a*e+b*d)*(e*x+d)^3/b^2+1/4*(e*x+d)^4/b+(-a*e+b*d)^4*ln(b*x+a)/b^5,1],
[(b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x,4,e*(-a*e+b*d)^2*x/b^3+1/2*(-a*e+b*d)*(e*x+d)^2/b^2+1/3*(e*x+d)^3/b+(-a*e+b*d)^3*ln(b*x+a)/b^4,1],
[(b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x,4,e*(-a*e+2*b*d)*x/b^2+1/2*e^2*x^2/b+(-a*e+b*d)^2*ln(b*x+a)/b^3,1],
[(b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,4,e*x/b+(-a*e+b*d)*ln(b*x+a)/b^2,1],
[(b*x+a)/(b^2*x^2+2*a*b*x+a^2),x,3,ln(b*x+a)/b,1],
[(b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,4,ln(b*x+a)/(-a*e+b*d)-ln(e*x+d)/(-a*e+b*d),1],
[(b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x,4,1/(-a*e+b*d)/(e*x+d)+b*ln(b*x+a)/(-a*e+b*d)^2-b*ln(e*x+d)/(-a*e+b*d)^2,1],
[(b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x,4,1/2/(-a*e+b*d)/(e*x+d)^2+b/(-a*e+b*d)^2/(e*x+d)+b^2*ln(b*x+a)/(-a*e+b*d)^3-b^2*ln(e*x+d)/(-a*e+b*d)^3,1],
[(b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x,4,1/3/(-a*e+b*d)/(e*x+d)^3+1/2*b/(-a*e+b*d)^2/(e*x+d)^2+b^2/(-a*e+b*d)^3/(e*x+d)+b^3*ln(b*x+a)/(-a*e+b*d)^4-b^3*ln(e*x+d)/(-a*e+b*d)^4,1],
[(b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x,4,e^3*(-3*a*e+4*b*d)*x/b^4+1/2*e^4*x^2/b^3-1/2*(-a*e+b*d)^4/b^5/(b*x+a)^2-4*e*(-a*e+b*d)^3/b^5/(b*x+a)+6*e^2*(-a*e+b*d)^2*ln(b*x+a)/b^5,1],
[(b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x,4,e^3*x/b^3-1/2*(-a*e+b*d)^3/b^4/(b*x+a)^2-3*e*(-a*e+b*d)^2/b^4/(b*x+a)+3*e^2*(-a*e+b*d)*ln(b*x+a)/b^4,1],
[(b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x,4,-1/2*(-a*e+b*d)^2/b^3/(b*x+a)^2-2*e*(-a*e+b*d)/b^3/(b*x+a)+e^2*ln(b*x+a)/b^3,1],
[(b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/2*(e*x+d)^2/(-a*e+b*d)/(b*x+a)^2,1],
[(b*x+a)/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/2/b/(b*x+a)^2,1],
[(b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,4,-1/2/(-a*e+b*d)/(b*x+a)^2+e/(-a*e+b*d)^2/(b*x+a)+e^2*ln(b*x+a)/(-a*e+b*d)^3-e^2*ln(e*x+d)/(-a*e+b*d)^3,1],
[(b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x,4,-1/2*b/(-a*e+b*d)^2/(b*x+a)^2+2*b*e/(-a*e+b*d)^3/(b*x+a)+e^2/(-a*e+b*d)^3/(e*x+d)+3*b*e^2*ln(b*x+a)/(-a*e+b*d)^4-3*b*e^2*ln(e*x+d)/(-a*e+b*d)^4,1],
[(b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x,4,-1/2*b^2/(-a*e+b*d)^3/(b*x+a)^2+3*b^2*e/(-a*e+b*d)^4/(b*x+a)+1/2*e^2/(-a*e+b*d)^3/(e*x+d)^2+3*b*e^2/(-a*e+b*d)^4/(e*x+d)+6*b^2*e^2*ln(b*x+a)/(-a*e+b*d)^5-6*b^2*e^2*ln(e*x+d)/(-a*e+b*d)^5,1],
[(b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x,4,-1/2*b^3/(-a*e+b*d)^4/(b*x+a)^2+4*b^3*e/(-a*e+b*d)^5/(b*x+a)+1/3*e^2/(-a*e+b*d)^3/(e*x+d)^3+3/2*b*e^2/(-a*e+b*d)^4/(e*x+d)^2+6*b^2*e^2/(-a*e+b*d)^5/(e*x+d)+10*b^3*e^2*ln(b*x+a)/(-a*e+b*d)^6-10*b^3*e^2*ln(e*x+d)/(-a*e+b*d)^6,1],
[(b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-1/4*(-a*e+b*d)^4/b^5/(b*x+a)^4-4/3*e*(-a*e+b*d)^3/b^5/(b*x+a)^3-3*e^2*(-a*e+b*d)^2/b^5/(b*x+a)^2-4*e^3*(-a*e+b*d)/b^5/(b*x+a)+e^4*ln(b*x+a)/b^5,1],
[(b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x,3,-1/4*(e*x+d)^4/(-a*e+b*d)/(b*x+a)^4,1],
[(b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-1/4*(-a*e+b*d)^2/b^3/(b*x+a)^4-2/3*e*(-a*e+b*d)/b^3/(b*x+a)^3-1/2*e^2/b^3/(b*x+a)^2,1],
[(b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-1/4*(-a*e+b*d)/b^2/(b*x+a)^4-1/3*e/b^2/(b*x+a)^3,1],
[(b*x+a)/(b^2*x^2+2*a*b*x+a^2)^3,x,3,-1/4/b/(b*x+a)^4,1],
[(b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-1/4/(-a*e+b*d)/(b*x+a)^4+1/3*e/(-a*e+b*d)^2/(b*x+a)^3-1/2*e^2/(-a*e+b*d)^3/(b*x+a)^2+e^3/(-a*e+b*d)^4/(b*x+a)+e^4*ln(b*x+a)/(-a*e+b*d)^5-e^4*ln(e*x+d)/(-a*e+b*d)^5,1],
[(b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-1/4*b/(-a*e+b*d)^2/(b*x+a)^4+2/3*b*e/(-a*e+b*d)^3/(b*x+a)^3-3/2*b*e^2/(-a*e+b*d)^4/(b*x+a)^2+4*b*e^3/(-a*e+b*d)^5/(b*x+a)+e^4/(-a*e+b*d)^5/(e*x+d)+5*b*e^4*ln(b*x+a)/(-a*e+b*d)^6-5*b*e^4*ln(e*x+d)/(-a*e+b*d)^6,1],
[(b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-1/4*b^2/(-a*e+b*d)^3/(b*x+a)^4+b^2*e/(-a*e+b*d)^4/(b*x+a)^3-3*b^2*e^2/(-a*e+b*d)^5/(b*x+a)^2+10*b^2*e^3/(-a*e+b*d)^6/(b*x+a)+1/2*e^4/(-a*e+b*d)^5/(e*x+d)^2+5*b*e^4/(-a*e+b*d)^6/(e*x+d)+15*b^2*e^4*ln(b*x+a)/(-a*e+b*d)^7-15*b^2*e^4*ln(e*x+d)/(-a*e+b*d)^7,1],
[(b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-1/4*b^3/(-a*e+b*d)^4/(b*x+a)^4+4/3*b^3*e/(-a*e+b*d)^5/(b*x+a)^3-5*b^3*e^2/(-a*e+b*d)^6/(b*x+a)^2+20*b^3*e^3/(-a*e+b*d)^7/(b*x+a)+1/3*e^4/(-a*e+b*d)^5/(e*x+d)^3+5/2*b*e^4/(-a*e+b*d)^6/(e*x+d)^2+15*b^2*e^4/(-a*e+b*d)^7/(e*x+d)+35*b^3*e^4*ln(b*x+a)/(-a*e+b*d)^8-35*b^3*e^4*ln(e*x+d)/(-a*e+b*d)^8,1],
[(b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/9*(-a*e+b*d)^3*(e*x+d)^(9/2)/e^4+6/11*b*(-a*e+b*d)^2*(e*x+d)^(11/2)/e^4-6/13*b^2*(-a*e+b*d)*(e*x+d)^(13/2)/e^4+2/15*b^3*(e*x+d)^(15/2)/e^4,1],
[(b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/7*(-a*e+b*d)^3*(e*x+d)^(7/2)/e^4+2/3*b*(-a*e+b*d)^2*(e*x+d)^(9/2)/e^4-6/11*b^2*(-a*e+b*d)*(e*x+d)^(11/2)/e^4+2/13*b^3*(e*x+d)^(13/2)/e^4,1],
[(b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/5*(-a*e+b*d)^3*(e*x+d)^(5/2)/e^4+6/7*b*(-a*e+b*d)^2*(e*x+d)^(7/2)/e^4-2/3*b^2*(-a*e+b*d)*(e*x+d)^(9/2)/e^4+2/11*b^3*(e*x+d)^(11/2)/e^4,1],
[(b*x+a)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/3*(-a*e+b*d)^3*(e*x+d)^(3/2)/e^4+6/5*b*(-a*e+b*d)^2*(e*x+d)^(5/2)/e^4-6/7*b^2*(-a*e+b*d)*(e*x+d)^(7/2)/e^4+2/9*b^3*(e*x+d)^(9/2)/e^4,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/sqrt(e*x+d),x,3,-2*(-a*e+b*d)^3*sqrt(e*x+d)/e^4+2*b*(-a*e+b*d)^2*(e*x+d)^(3/2)/e^4-6/5*b^2*(-a*e+b*d)*(e*x+d)^(5/2)/e^4+2/7*b^3*(e*x+d)^(7/2)/e^4,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x,3,2*(-a*e+b*d)^3/e^4/sqrt(e*x+d)+6*b*(-a*e+b*d)^2*sqrt(e*x+d)/e^4-2*b^2*(-a*e+b*d)*(e*x+d)^(3/2)/e^4+2/5*b^3*(e*x+d)^(5/2)/e^4,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x,3,2/3*(-a*e+b*d)^3/e^4/(e*x+d)^(3/2)-6*b*(-a*e+b*d)^2/e^4/sqrt(e*x+d)-6*b^2*(-a*e+b*d)*sqrt(e*x+d)/e^4+2/3*b^3*(e*x+d)^(3/2)/e^4,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x,3,2/5*(-a*e+b*d)^3/e^4/(e*x+d)^(5/2)-2*b*(-a*e+b*d)^2/e^4/(e*x+d)^(3/2)+6*b^2*(-a*e+b*d)/e^4/sqrt(e*x+d)+2*b^3*sqrt(e*x+d)/e^4,1],
[(b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/9*(-a*e+b*d)^5*(e*x+d)^(9/2)/e^6+10/11*b*(-a*e+b*d)^4*(e*x+d)^(11/2)/e^6-20/13*b^2*(-a*e+b*d)^3*(e*x+d)^(13/2)/e^6+4/3*b^3*(-a*e+b*d)^2*(e*x+d)^(15/2)/e^6-10/17*b^4*(-a*e+b*d)*(e*x+d)^(17/2)/e^6+2/19*b^5*(e*x+d)^(19/2)/e^6,1],
[(b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/7*(-a*e+b*d)^5*(e*x+d)^(7/2)/e^6+10/9*b*(-a*e+b*d)^4*(e*x+d)^(9/2)/e^6-20/11*b^2*(-a*e+b*d)^3*(e*x+d)^(11/2)/e^6+20/13*b^3*(-a*e+b*d)^2*(e*x+d)^(13/2)/e^6-2/3*b^4*(-a*e+b*d)*(e*x+d)^(15/2)/e^6+2/17*b^5*(e*x+d)^(17/2)/e^6,1],
[(b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/5*(-a*e+b*d)^5*(e*x+d)^(5/2)/e^6+10/7*b*(-a*e+b*d)^4*(e*x+d)^(7/2)/e^6-20/9*b^2*(-a*e+b*d)^3*(e*x+d)^(9/2)/e^6+20/11*b^3*(-a*e+b*d)^2*(e*x+d)^(11/2)/e^6-10/13*b^4*(-a*e+b*d)*(e*x+d)^(13/2)/e^6+2/15*b^5*(e*x+d)^(15/2)/e^6,1],
[(b*x+a)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/3*(-a*e+b*d)^5*(e*x+d)^(3/2)/e^6+2*b*(-a*e+b*d)^4*(e*x+d)^(5/2)/e^6-20/7*b^2*(-a*e+b*d)^3*(e*x+d)^(7/2)/e^6+20/9*b^3*(-a*e+b*d)^2*(e*x+d)^(9/2)/e^6-10/11*b^4*(-a*e+b*d)*(e*x+d)^(11/2)/e^6+2/13*b^5*(e*x+d)^(13/2)/e^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/sqrt(e*x+d),x,3,-2*(-a*e+b*d)^5*sqrt(e*x+d)/e^6+10/3*b*(-a*e+b*d)^4*(e*x+d)^(3/2)/e^6-4*b^2*(-a*e+b*d)^3*(e*x+d)^(5/2)/e^6+20/7*b^3*(-a*e+b*d)^2*(e*x+d)^(7/2)/e^6-10/9*b^4*(-a*e+b*d)*(e*x+d)^(9/2)/e^6+2/11*b^5*(e*x+d)^(11/2)/e^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(3/2),x,3,2*(-a*e+b*d)^5/e^6/sqrt(e*x+d)+10*b*(-a*e+b*d)^4*sqrt(e*x+d)/e^6-20/3*b^2*(-a*e+b*d)^3*(e*x+d)^(3/2)/e^6+4*b^3*(-a*e+b*d)^2*(e*x+d)^(5/2)/e^6-10/7*b^4*(-a*e+b*d)*(e*x+d)^(7/2)/e^6+2/9*b^5*(e*x+d)^(9/2)/e^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(5/2),x,3,2/3*(-a*e+b*d)^5/e^6/(e*x+d)^(3/2)-10*b*(-a*e+b*d)^4/e^6/sqrt(e*x+d)-20*b^2*(-a*e+b*d)^3*sqrt(e*x+d)/e^6+20/3*b^3*(-a*e+b*d)^2*(e*x+d)^(3/2)/e^6-2*b^4*(-a*e+b*d)*(e*x+d)^(5/2)/e^6+2/7*b^5*(e*x+d)^(7/2)/e^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(7/2),x,3,2/5*(-a*e+b*d)^5/e^6/(e*x+d)^(5/2)-10/3*b*(-a*e+b*d)^4/e^6/(e*x+d)^(3/2)+20*b^2*(-a*e+b*d)^3/e^6/sqrt(e*x+d)+20*b^3*(-a*e+b*d)^2*sqrt(e*x+d)/e^6-10/3*b^4*(-a*e+b*d)*(e*x+d)^(3/2)/e^6+2/5*b^5*(e*x+d)^(5/2)/e^6,1],
[(b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/9*(-a*e+b*d)^7*(e*x+d)^(9/2)/e^8+14/11*b*(-a*e+b*d)^6*(e*x+d)^(11/2)/e^8-42/13*b^2*(-a*e+b*d)^5*(e*x+d)^(13/2)/e^8+14/3*b^3*(-a*e+b*d)^4*(e*x+d)^(15/2)/e^8-70/17*b^4*(-a*e+b*d)^3*(e*x+d)^(17/2)/e^8+42/19*b^5*(-a*e+b*d)^2*(e*x+d)^(19/2)/e^8-2/3*b^6*(-a*e+b*d)*(e*x+d)^(21/2)/e^8+2/23*b^7*(e*x+d)^(23/2)/e^8,1],
[(b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/7*(-a*e+b*d)^7*(e*x+d)^(7/2)/e^8+14/9*b*(-a*e+b*d)^6*(e*x+d)^(9/2)/e^8-42/11*b^2*(-a*e+b*d)^5*(e*x+d)^(11/2)/e^8+70/13*b^3*(-a*e+b*d)^4*(e*x+d)^(13/2)/e^8-14/3*b^4*(-a*e+b*d)^3*(e*x+d)^(15/2)/e^8+42/17*b^5*(-a*e+b*d)^2*(e*x+d)^(17/2)/e^8-14/19*b^6*(-a*e+b*d)*(e*x+d)^(19/2)/e^8+2/21*b^7*(e*x+d)^(21/2)/e^8,1],
[(b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/5*(-a*e+b*d)^7*(e*x+d)^(5/2)/e^8+2*b*(-a*e+b*d)^6*(e*x+d)^(7/2)/e^8-14/3*b^2*(-a*e+b*d)^5*(e*x+d)^(9/2)/e^8+70/11*b^3*(-a*e+b*d)^4*(e*x+d)^(11/2)/e^8-70/13*b^4*(-a*e+b*d)^3*(e*x+d)^(13/2)/e^8+14/5*b^5*(-a*e+b*d)^2*(e*x+d)^(15/2)/e^8-14/17*b^6*(-a*e+b*d)*(e*x+d)^(17/2)/e^8+2/19*b^7*(e*x+d)^(19/2)/e^8,1],
[(b*x+a)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/3*(-a*e+b*d)^7*(e*x+d)^(3/2)/e^8+14/5*b*(-a*e+b*d)^6*(e*x+d)^(5/2)/e^8-6*b^2*(-a*e+b*d)^5*(e*x+d)^(7/2)/e^8+70/9*b^3*(-a*e+b*d)^4*(e*x+d)^(9/2)/e^8-70/11*b^4*(-a*e+b*d)^3*(e*x+d)^(11/2)/e^8+42/13*b^5*(-a*e+b*d)^2*(e*x+d)^(13/2)/e^8-14/15*b^6*(-a*e+b*d)*(e*x+d)^(15/2)/e^8+2/17*b^7*(e*x+d)^(17/2)/e^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/sqrt(e*x+d),x,3,-2*(-a*e+b*d)^7*sqrt(e*x+d)/e^8+14/3*b*(-a*e+b*d)^6*(e*x+d)^(3/2)/e^8-42/5*b^2*(-a*e+b*d)^5*(e*x+d)^(5/2)/e^8+10*b^3*(-a*e+b*d)^4*(e*x+d)^(7/2)/e^8-70/9*b^4*(-a*e+b*d)^3*(e*x+d)^(9/2)/e^8+42/11*b^5*(-a*e+b*d)^2*(e*x+d)^(11/2)/e^8-14/13*b^6*(-a*e+b*d)*(e*x+d)^(13/2)/e^8+2/15*b^7*(e*x+d)^(15/2)/e^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(3/2),x,3,2*(-a*e+b*d)^7/e^8/sqrt(e*x+d)+14*b*(-a*e+b*d)^6*sqrt(e*x+d)/e^8-14*b^2*(-a*e+b*d)^5*(e*x+d)^(3/2)/e^8+14*b^3*(-a*e+b*d)^4*(e*x+d)^(5/2)/e^8-10*b^4*(-a*e+b*d)^3*(e*x+d)^(7/2)/e^8+14/3*b^5*(-a*e+b*d)^2*(e*x+d)^(9/2)/e^8-14/11*b^6*(-a*e+b*d)*(e*x+d)^(11/2)/e^8+2/13*b^7*(e*x+d)^(13/2)/e^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(5/2),x,3,2/3*(-a*e+b*d)^7/e^8/(e*x+d)^(3/2)-14*b*(-a*e+b*d)^6/e^8/sqrt(e*x+d)-42*b^2*(-a*e+b*d)^5*sqrt(e*x+d)/e^8+70/3*b^3*(-a*e+b*d)^4*(e*x+d)^(3/2)/e^8-14*b^4*(-a*e+b*d)^3*(e*x+d)^(5/2)/e^8+6*b^5*(-a*e+b*d)^2*(e*x+d)^(7/2)/e^8-14/9*b^6*(-a*e+b*d)*(e*x+d)^(9/2)/e^8+2/11*b^7*(e*x+d)^(11/2)/e^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(7/2),x,3,2/5*(-a*e+b*d)^7/e^8/(e*x+d)^(5/2)-14/3*b*(-a*e+b*d)^6/e^8/(e*x+d)^(3/2)+42*b^2*(-a*e+b*d)^5/e^8/sqrt(e*x+d)+70*b^3*(-a*e+b*d)^4*sqrt(e*x+d)/e^8-70/3*b^4*(-a*e+b*d)^3*(e*x+d)^(3/2)/e^8+42/5*b^5*(-a*e+b*d)^2*(e*x+d)^(5/2)/e^8-2*b^6*(-a*e+b*d)*(e*x+d)^(7/2)/e^8+2/9*b^7*(e*x+d)^(9/2)/e^8,1],
[(b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x,6,2*(-a*e+b*d)^3*sqrt(e*x+d)/b^4+2/3*(-a*e+b*d)^2*(e*x+d)^(3/2)/b^3+2/5*(-a*e+b*d)*(e*x+d)^(5/2)/b^2+2/7*(e*x+d)^(7/2)/b-2*(-a*e+b*d)^(7/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2),1],
[(b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x,6,2*(-a*e+b*d)^2*sqrt(e*x+d)/b^3+2/3*(-a*e+b*d)*(e*x+d)^(3/2)/b^2+2/5*(e*x+d)^(5/2)/b-2*(-a*e+b*d)^(5/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2),1],
[(b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x,6,2*(-a*e+b*d)*sqrt(e*x+d)/b^2+2/3*(e*x+d)^(3/2)/b-2*(-a*e+b*d)^(3/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2),1],
[(b*x+a)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,5,2*sqrt(e*x+d)/b-2*sqrt(-a*e+b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2),1],
[(b*x+a)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,4,-2*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/sqrt(-a*e+b*d),1],
[(b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x,5,2/(-a*e+b*d)/sqrt(e*x+d)-2*sqrt(b)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(3/2),1],
[(b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x,6,2/3/(-a*e+b*d)/(e*x+d)^(3/2)+2*b/(-a*e+b*d)^2/sqrt(e*x+d)-2*b^(3/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(5/2),1],
[(b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x,7,2/5/(-a*e+b*d)/(e*x+d)^(5/2)+2/3*b/(-a*e+b*d)^2/(e*x+d)^(3/2)+2*b^2/(-a*e+b*d)^3/sqrt(e*x+d)-2*b^(5/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(7/2),1],
[(b*x+a)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,8,63/4*e^2*(-a*e+b*d)^2*sqrt(e*x+d)/b^5+21/4*e^2*(-a*e+b*d)*(e*x+d)^(3/2)/b^4+63/20*e^2*(e*x+d)^(5/2)/b^3-9/4*e*(e*x+d)^(7/2)/b^2/(b*x+a)-1/2*(e*x+d)^(9/2)/b/(b*x+a)^2-63/4*e^2*(-a*e+b*d)^(5/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(11/2),1],
[(b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,8,35/4*e^2*(-a*e+b*d)*sqrt(e*x+d)/b^4+35/12*e^2*(e*x+d)^(3/2)/b^3-7/4*e*(e*x+d)^(5/2)/b^2/(b*x+a)-1/2*(e*x+d)^(7/2)/b/(b*x+a)^2-35/4*e^2*(-a*e+b*d)^(3/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2),1],
[(b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,7,15/4*e^2*sqrt(e*x+d)/b^3-5/4*e*(e*x+d)^(3/2)/b^2/(b*x+a)-1/2*(e*x+d)^(5/2)/b/(b*x+a)^2-15/4*e^2*sqrt(-a*e+b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2),1],
[(b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,6,-3/4*e*sqrt(e*x+d)/b^2/(b*x+a)-1/2*(e*x+d)^(3/2)/b/(b*x+a)^2-3/4*e^2*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/sqrt(-a*e+b*d),1],
[(b*x+a)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,6,-1/2*sqrt(e*x+d)/b/(b*x+a)^2-1/4*e*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)+1/4*e^2*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(3/2),1],
[(b*x+a)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,6,-1/2*sqrt(e*x+d)/(-a*e+b*d)/(b*x+a)^2+3/4*e*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)-3/4*e^2*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(5/2),1],
[(b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,7,15/4*e^2/(-a*e+b*d)^3/sqrt(e*x+d)-1/2/(-a*e+b*d)/(b*x+a)^2/sqrt(e*x+d)+5/4*e/(-a*e+b*d)^2/(b*x+a)/sqrt(e*x+d)-15/4*sqrt(b)*e^2*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(7/2),1],
[(b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,8,35/12*e^2/(-a*e+b*d)^3/(e*x+d)^(3/2)-1/2/(-a*e+b*d)/(b*x+a)^2/(e*x+d)^(3/2)+7/4*e/(-a*e+b*d)^2/(b*x+a)/(e*x+d)^(3/2)+35/4*b*e^2/(-a*e+b*d)^4/sqrt(e*x+d)-35/4*b^(3/2)*e^2*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(9/2),1],
[(b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,9,63/20*e^2/(-a*e+b*d)^3/(e*x+d)^(5/2)-1/2/(-a*e+b*d)/(b*x+a)^2/(e*x+d)^(5/2)+9/4*e/(-a*e+b*d)^2/(b*x+a)/(e*x+d)^(5/2)+21/4*b*e^2/(-a*e+b*d)^4/(e*x+d)^(3/2)+63/4*b^2*e^2/(-a*e+b*d)^5/sqrt(e*x+d)-63/4*b^(5/2)*e^2*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(11/2),1],
[(b*x+a)*(e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,10,1155/64*e^4*(-a*e+b*d)*sqrt(e*x+d)/b^6+385/64*e^4*(e*x+d)^(3/2)/b^5-231/64*e^3*(e*x+d)^(5/2)/b^4/(b*x+a)-33/32*e^2*(e*x+d)^(7/2)/b^3/(b*x+a)^2-11/24*e*(e*x+d)^(9/2)/b^2/(b*x+a)^3-1/4*(e*x+d)^(11/2)/b/(b*x+a)^4-1155/64*e^4*(-a*e+b*d)^(3/2)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(13/2),1],
[(b*x+a)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,9,315/64*e^4*sqrt(e*x+d)/b^5-105/64*e^3*(e*x+d)^(3/2)/b^4/(b*x+a)-21/32*e^2*(e*x+d)^(5/2)/b^3/(b*x+a)^2-3/8*e*(e*x+d)^(7/2)/b^2/(b*x+a)^3-1/4*(e*x+d)^(9/2)/b/(b*x+a)^4-315/64*e^4*sqrt(-a*e+b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(11/2),1],
[(b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-35/64*e^3*sqrt(e*x+d)/b^4/(b*x+a)-35/96*e^2*(e*x+d)^(3/2)/b^3/(b*x+a)^2-7/24*e*(e*x+d)^(5/2)/b^2/(b*x+a)^3-1/4*(e*x+d)^(7/2)/b/(b*x+a)^4-35/64*e^4*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/sqrt(-a*e+b*d),1],
[(b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-5/32*e^2*sqrt(e*x+d)/b^3/(b*x+a)^2-5/64*e^3*sqrt(e*x+d)/b^3/(-a*e+b*d)/(b*x+a)-5/24*e*(e*x+d)^(3/2)/b^2/(b*x+a)^3-1/4*(e*x+d)^(5/2)/b/(b*x+a)^4+5/64*e^4*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/(-a*e+b*d)^(3/2),1],
[(b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/8*e*sqrt(e*x+d)/b^2/(b*x+a)^3-1/32*e^2*sqrt(e*x+d)/b^2/(-a*e+b*d)/(b*x+a)^2+3/64*e^3*sqrt(e*x+d)/b^2/(-a*e+b*d)^2/(b*x+a)-1/4*(e*x+d)^(3/2)/b/(b*x+a)^4-3/64*e^4*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/(-a*e+b*d)^(5/2),1],
[(b*x+a)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/4*sqrt(e*x+d)/b/(b*x+a)^4-1/24*e*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)^3+5/96*e^2*sqrt(e*x+d)/b/(-a*e+b*d)^2/(b*x+a)^2-5/64*e^3*sqrt(e*x+d)/b/(-a*e+b*d)^3/(b*x+a)+5/64*e^4*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(7/2),1],
[(b*x+a)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/4*sqrt(e*x+d)/(-a*e+b*d)/(b*x+a)^4+7/24*e*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)^3-35/96*e^2*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)^2+35/64*e^3*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)-35/64*e^4*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(9/2),1],
[(b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,9,315/64*e^4/(-a*e+b*d)^5/sqrt(e*x+d)-1/4/(-a*e+b*d)/(b*x+a)^4/sqrt(e*x+d)+3/8*e/(-a*e+b*d)^2/(b*x+a)^3/sqrt(e*x+d)-21/32*e^2/(-a*e+b*d)^3/(b*x+a)^2/sqrt(e*x+d)+105/64*e^3/(-a*e+b*d)^4/(b*x+a)/sqrt(e*x+d)-315/64*sqrt(b)*e^4*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(11/2),1],
[(b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,10,385/64*e^4/(-a*e+b*d)^5/(e*x+d)^(3/2)-1/4/(-a*e+b*d)/(b*x+a)^4/(e*x+d)^(3/2)+11/24*e/(-a*e+b*d)^2/(b*x+a)^3/(e*x+d)^(3/2)-33/32*e^2/(-a*e+b*d)^3/(b*x+a)^2/(e*x+d)^(3/2)+231/64*e^3/(-a*e+b*d)^4/(b*x+a)/(e*x+d)^(3/2)+1155/64*b*e^4/(-a*e+b*d)^6/sqrt(e*x+d)-1155/64*b^(3/2)*e^4*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(13/2),1],
[(b*x+a)*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/6*(-a*e+b*d)^2*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-2/7*b*(-a*e+b*d)*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+1/8*b^2*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/5*(-a*e+b*d)^2*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-1/3*b*(-a*e+b*d)*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+1/7*b^2*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/4*(-a*e+b*d)^2*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-2/5*b*(-a*e+b*d)*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+1/6*b^2*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/3*(-a*e+b*d)^2*(b*x+a)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/2*e*(-a*e+b*d)*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/5*e^2*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3,1],
[(b*x+a)*(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2),x,1,1/12*(3*b*e*x-a*e+4*b*d)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/b^2,1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2),x,1,1/3*(b^2*x^2+2*a*b*x+a^2)^(3/2)/b,1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x,3,-b*(-2*a*e+b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2/(b*x+a)+1/2*b^2*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e/(b*x+a)+(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x,3,b^2*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2/(b*x+a)-(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)-2*b*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x,3,-1/2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^2+2*b*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)+b^2*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x,1,1/3*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)/(e*x+d)^3,1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^5,x,2,1/4*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)/(e*x+d)^4+1/12*b*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)^2/(e*x+d)^3,1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^6,x,3,1/5*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)/(e*x+d)^5+1/10*b*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)^2/(e*x+d)^4+1/30*b^2*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)^3/(e*x+d)^3,1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^7,x,3,-1/6*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^6+2/5*b*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^5-1/4*b^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^4,1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^8,x,3,-1/7*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^7+1/3*b*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^6-1/5*b^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^5,1],
[(b*x+a)*(e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/8*(-a*e+b*d)^4*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-4/9*b*(-a*e+b*d)^3*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+3/5*b^2*(-a*e+b*d)^2*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-4/11*b^3*(-a*e+b*d)*(e*x+d)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+1/12*b^4*(e*x+d)^12*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/7*(-a*e+b*d)^4*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-1/2*b*(-a*e+b*d)^3*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/3*b^2*(-a*e+b*d)^2*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/5*b^3*(-a*e+b*d)*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+1/11*b^4*(e*x+d)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/6*(-a*e+b*d)^4*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-4/7*b*(-a*e+b*d)^3*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+3/4*b^2*(-a*e+b*d)^2*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-4/9*b^3*(-a*e+b*d)*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+1/10*b^4*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/5*(-a*e+b*d)^4*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+2/3*e*(-a*e+b*d)^3*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+6/7*e^2*(-a*e+b*d)^2*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/2*e^3*(-a*e+b*d)*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/9*e^4*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5,1],
[(b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/5*(-a*e+b*d)^3*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/2*e*(-a*e+b*d)^2*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+3/7*e^2*(-a*e+b*d)*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/8*e^3*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4,1],
[(b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/5*(-a*e+b*d)^2*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/3*e*(-a*e+b*d)*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/7*e^2*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3,1],
[(b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,1,1/30*(5*b*e*x-a*e+6*b*d)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/b^2,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,1,1/5*(b^2*x^2+2*a*b*x+a^2)^(5/2)/b,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d),x,3,-b*(-a*e+b*d)^3*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)+1/2*(-a*e+b*d)^2*(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3-1/3*(-a*e+b*d)*(b*x+a)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2+1/4*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e+(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^2,x,3,6*b^2*(-a*e+b*d)^2*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)-(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)-2*b^3*(-a*e+b*d)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+1/3*b^4*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-4*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^3,x,3,-b^3*(-4*a*e+3*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)+1/2*b^4*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-1/2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^2+4*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)+6*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^4,x,3,b^4*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)-1/3*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^3+2*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^2-6*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)-4*b^3*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^5,x,3,-1/4*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^4+4/3*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^3-3*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^2+4*b^3*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)+b^4*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^6,x,1,1/5*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)/(e*x+d)^5,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^7,x,2,1/6*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)/(e*x+d)^6+1/30*b*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^5,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^8,x,3,1/7*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)/(e*x+d)^7+1/21*b*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^6+1/105*b^2*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^3/(e*x+d)^5,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^9,x,4,1/8*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)/(e*x+d)^8+3/56*b*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^7+1/56*b^2*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^3/(e*x+d)^6+1/280*b^3*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^4/(e*x+d)^5,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^10,x,5,1/9*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)/(e*x+d)^9+1/18*b*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^8+1/42*b^2*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^3/(e*x+d)^7+1/126*b^3*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^4/(e*x+d)^6+1/630*b^4*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^5/(e*x+d)^5,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^11,x,3,-1/10*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^10+4/9*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^9-3/4*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^8+4/7*b^3*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^7-1/6*b^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^6,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^12,x,3,-1/11*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^11+2/5*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^10-2/3*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^9+1/2*b^3*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^8-1/7*b^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^7,1],
[(b*x+a)*(e*x+d)^9*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/10*(-a*e+b*d)^6*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-6/11*b*(-a*e+b*d)^5*(e*x+d)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+5/4*b^2*(-a*e+b*d)^4*(e*x+d)^12*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20/13*b^3*(-a*e+b*d)^3*(e*x+d)^13*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+15/14*b^4*(-a*e+b*d)^2*(e*x+d)^14*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/5*b^5*(-a*e+b*d)*(e*x+d)^15*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/16*b^6*(e*x+d)^16*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(e*x+d)^8*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/9*(-a*e+b*d)^6*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-3/5*b*(-a*e+b*d)^5*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+15/11*b^2*(-a*e+b*d)^4*(e*x+d)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-5/3*b^3*(-a*e+b*d)^3*(e*x+d)^12*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+15/13*b^4*(-a*e+b*d)^2*(e*x+d)^13*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-3/7*b^5*(-a*e+b*d)*(e*x+d)^14*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/15*b^6*(e*x+d)^15*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/8*(-a*e+b*d)^6*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/3*b*(-a*e+b*d)^5*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+3/2*b^2*(-a*e+b*d)^4*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20/11*b^3*(-a*e+b*d)^3*(e*x+d)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+5/4*b^4*(-a*e+b*d)^2*(e*x+d)^12*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-6/13*b^5*(-a*e+b*d)*(e*x+d)^13*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/14*b^6*(e*x+d)^14*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/7*(-a*e+b*d)^6*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+3/4*e*(-a*e+b*d)^5*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+5/3*e^2*(-a*e+b*d)^4*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+2*e^3*(-a*e+b*d)^3*(b*x+a)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+15/11*e^4*(-a*e+b*d)^2*(b*x+a)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+1/2*e^5*(-a*e+b*d)*(b*x+a)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+1/13*e^6*(b*x+a)^12*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7,1],
[(b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/7*(-a*e+b*d)^5*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+5/8*e*(-a*e+b*d)^4*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+10/9*e^2*(-a*e+b*d)^3*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+e^3*(-a*e+b*d)^2*(b*x+a)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+5/11*e^4*(-a*e+b*d)*(b*x+a)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+1/12*e^5*(b*x+a)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6,1],
[(b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/7*(-a*e+b*d)^4*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/2*e*(-a*e+b*d)^3*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+2/3*e^2*(-a*e+b*d)^2*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+2/5*e^3*(-a*e+b*d)*(b*x+a)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/11*e^4*(b*x+a)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5,1],
[(b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/7*(-a*e+b*d)^3*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+3/8*e*(-a*e+b*d)^2*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/3*e^2*(-a*e+b*d)*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/10*e^3*(b*x+a)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4,1],
[(b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/7*(-a*e+b*d)^2*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/4*e*(-a*e+b*d)*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/9*e^2*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3,1],
[(b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,1,1/56*(7*b*e*x-a*e+8*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/b^2,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,1,1/7*(b^2*x^2+2*a*b*x+a^2)^(7/2)/b,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d),x,3,-b*(-a*e+b*d)^5*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)+1/2*(-a*e+b*d)^4*(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5-1/3*(-a*e+b*d)^3*(b*x+a)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4+1/4*(-a*e+b*d)^2*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3-1/5*(-a*e+b*d)*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2+1/6*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e+(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^2,x,3,15*b^2*(-a*e+b*d)^4*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)-10*b^3*(-a*e+b*d)^3*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+5*b^4*(-a*e+b*d)^2*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-3/2*b^5*(-a*e+b*d)*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/5*b^6*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-6*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^3,x,3,-20*b^3*(-a*e+b*d)^3*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-1/2*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2+6*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)+15/2*b^4*(-a*e+b*d)^2*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2*b^5*(-a*e+b*d)*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/4*b^6*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+15*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^4,x,3,15*b^4*(-a*e+b*d)^2*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-1/3*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3+3*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2-15*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)-3*b^5*(-a*e+b*d)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/3*b^6*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^5,x,3,-b^5*(-6*a*e+5*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)+1/2*b^6*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-1/4*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^4+2*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3-15/2*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2+20*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)+15*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^6,x,3,b^6*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-1/5*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^5+3/2*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^4-5*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3+10*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2-15*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)-6*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^7,x,3,-1/6*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^6+6/5*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^5-15/4*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^4+20/3*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3-15/2*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2+6*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)+b^6*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^8,x,1,1/7*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)/(e*x+d)^7,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^9,x,2,1/8*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)/(e*x+d)^8+1/56*b*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^7,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^10,x,3,1/9*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)/(e*x+d)^9+1/36*b*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^8+1/252*b^2*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^7,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^11,x,4,1/10*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)/(e*x+d)^10+1/30*b*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^9+1/120*b^2*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^8+1/840*b^3*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^4/(e*x+d)^7,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^12,x,5,1/11*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)/(e*x+d)^11+2/55*b*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^10+2/165*b^2*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^9+1/330*b^3*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^4/(e*x+d)^8+1/2310*b^4*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^5/(e*x+d)^7,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^13,x,6,1/12*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)/(e*x+d)^12+5/132*b*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^11+1/66*b^2*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^10+1/198*b^3*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^4/(e*x+d)^9+1/792*b^4*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^5/(e*x+d)^8+1/5544*b^5*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^6/(e*x+d)^7,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^14,x,7,1/13*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)/(e*x+d)^13+1/26*b*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^12+5/286*b^2*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^11+1/143*b^3*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^4/(e*x+d)^10+1/429*b^4*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^5/(e*x+d)^9+1/1716*b^5*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^6/(e*x+d)^8+1/12012*b^6*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^7/(e*x+d)^7,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^15,x,3,-1/14*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^14+6/13*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^13-5/4*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^12+20/11*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^11-3/2*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^10+2/3*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^9-1/8*b^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^8,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^16,x,3,-1/15*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^15+3/7*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^14-15/13*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^13+5/3*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^12-15/11*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^11+3/5*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^10-1/9*b^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^9,1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^17,x,3,-1/16*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^16+2/5*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^15-15/14*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^14+20/13*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^13-5/4*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^12+6/11*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^11-1/10*b^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^10,1],
[(b*x+a)*(e*x+d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/5*(b*x+a)*(e*x+d)^5/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/4*(b*x+a)*(e*x+d)^4/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/3*(b*x+a)*(e*x+d)^3/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,1,1/2*(b*e*x-a*e+2*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/b^2,1],
[(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2),x,1,sqrt(b^2*x^2+2*a*b*x+a^2)/b,1],
[(b*x+a)/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,(b*x+a)*ln(e*x+d)/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2),x,1,sqrt(b^2*x^2+2*a*b*x+a^2)/(-a*e+b*d)/(e*x+d),1],
[(b*x+a)/(e*x+d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/2*(-b*x-a)/e/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/3*(-b*x-a)/e/(e*x+d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^5/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/4*(-b*x-a)/e/(e*x+d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-a*e+b*d)^4/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+6*e^2*(-a*e+b*d)^2*x*(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+2*e^3*(-a*e+b*d)*(b*x+a)^3/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+1/3*e^4*(b*x+a)^4/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+4*e*(-a*e+b*d)^3*(b*x+a)*ln(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-a*e+b*d)^3/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+e^2*(-2*a*e+3*b*d)*x*(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*e^3*x^2*(b*x+a)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+3*e*(-a*e+b*d)^2*(b*x+a)*ln(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-a*e+b*d)^2/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+e^2*x*(b*x+a)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+2*e*(-a*e+b*d)*(b*x+a)*ln(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-a*e+b*d)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+e*(b*x+a)*ln(b*x+a)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,1,-1/b/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-1/(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+e*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-b/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(b*x+a)/(-a*e+b*d)^2/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-2*b*e*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)+2*b*e*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-b^2/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*e*(b*x+a)/(-a*e+b*d)^2/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-2*b*e*(b*x+a)/(-a*e+b*d)^3/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-3*b^2*e*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)+3*b^2*e*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-10*e^2*(-a*e+b*d)^3/b^6/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(-a*e+b*d)^5/b^6/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-5/2*e*(-a*e+b*d)^4/b^6/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+e^4*(-4*a*e+5*b*d)*x*(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*e^5*x^2*(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+10*e^3*(-a*e+b*d)^2*(b*x+a)*ln(b*x+a)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-6*e^2*(-a*e+b*d)^2/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(-a*e+b*d)^4/b^5/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-2*e*(-a*e+b*d)^3/b^5/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+e^4*x*(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+4*e^3*(-a*e+b*d)*(b*x+a)*ln(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-3*e^2*(-a*e+b*d)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(-a*e+b*d)^3/b^4/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-3/2*e*(-a*e+b*d)^2/b^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+e^3*(b*x+a)*ln(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,1,-1/3*(e*x+d)^3/(-a*e+b*d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),1],
[(b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,1,-1/6*(3*b*e*x+a*e+2*b*d)/b^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),1],
[(b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,1,-1/3/b/(b^2*x^2+2*a*b*x+a^2)^(3/2),1],
[(b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-e^2/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3/(-a*e+b*d)/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*e/(-a*e+b*d)^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-e^3*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)+e^3*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-3*b*e^2/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*b/(-a*e+b*d)^2/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+b*e/(-a*e+b*d)^3/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-e^3*(b*x+a)/(-a*e+b*d)^4/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-4*b*e^3*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2)+4*b*e^3*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-6*b^2*e^2/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*b^2/(-a*e+b*d)^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+3/2*b^2*e/(-a*e+b*d)^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*e^3*(b*x+a)/(-a*e+b*d)^4/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-4*b*e^3*(b*x+a)/(-a*e+b*d)^5/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-10*b^2*e^3*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^6/sqrt(b^2*x^2+2*a*b*x+a^2)+10*b^2*e^3*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^6/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/9*(-a*e+b*d)^2*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-4/11*b*(-a*e+b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/13*b^2*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/7*(-a*e+b*d)^2*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-4/9*b*(-a*e+b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/11*b^2*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/5*(-a*e+b*d)^2*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-4/7*b*(-a*e+b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/9*b^2*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/3*(-a*e+b*d)^2*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-4/5*b*(-a*e+b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/7*b^2*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/sqrt(e*x+d),x,3,2*(-a*e+b*d)^2*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-4/3*b*(-a*e+b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/5*b^2*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x,3,-2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/sqrt(e*x+d)-4*b*(-a*e+b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/3*b^2*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x,3,-2/3*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^(3/2)+4*b*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/sqrt(e*x+d)+2*b^2*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x,3,-2/5*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^(5/2)+4/3*b*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^(3/2)-2*b^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/sqrt(e*x+d),1],
[(b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,2/7*(-a*e+b*d)^4*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/9*b*(-a*e+b*d)^3*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+12/11*b^2*(-a*e+b*d)^2*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/13*b^3*(-a*e+b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/15*b^4*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,2/5*(-a*e+b*d)^4*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/7*b*(-a*e+b*d)^3*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+4/3*b^2*(-a*e+b*d)^2*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/11*b^3*(-a*e+b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/13*b^4*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,2/3*(-a*e+b*d)^4*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/5*b*(-a*e+b*d)^3*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+12/7*b^2*(-a*e+b*d)^2*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/9*b^3*(-a*e+b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/11*b^4*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/sqrt(e*x+d),x,3,2*(-a*e+b*d)^4*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/3*b*(-a*e+b*d)^3*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+12/5*b^2*(-a*e+b*d)^2*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/7*b^3*(-a*e+b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/9*b^4*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(3/2),x,3,-2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d)-8*b*(-a*e+b*d)^3*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+4*b^2*(-a*e+b*d)^2*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/5*b^3*(-a*e+b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/7*b^4*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(5/2),x,3,-2/3*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(3/2)+8*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d)+12*b^2*(-a*e+b*d)^2*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-8/3*b^3*(-a*e+b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/5*b^4*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(7/2),x,3,-2/5*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(5/2)+8/3*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(3/2)-12*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d)-8*b^3*(-a*e+b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/3*b^4*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(9/2),x,3,-2/7*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(7/2)+8/5*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(5/2)-4*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(3/2)+8*b^3*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d)+2*b^4*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(11/2),x,3,-2/9*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(9/2)+8/7*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(7/2)-12/5*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(5/2)+8/3*b^3*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(3/2)-2*b^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(13/2),x,3,-2/11*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(11/2)+8/9*b*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(9/2)-12/7*b^2*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(7/2)+8/5*b^3*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(5/2)-2/3*b^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(3/2),1],
[(b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,2/7*(-a*e+b*d)^6*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-4/3*b*(-a*e+b*d)^5*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+30/11*b^2*(-a*e+b*d)^4*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-40/13*b^3*(-a*e+b*d)^3*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2*b^4*(-a*e+b*d)^2*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-12/17*b^5*(-a*e+b*d)*(e*x+d)^(17/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/19*b^6*(e*x+d)^(19/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,2/5*(-a*e+b*d)^6*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-12/7*b*(-a*e+b*d)^5*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/3*b^2*(-a*e+b*d)^4*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-40/11*b^3*(-a*e+b*d)^3*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+30/13*b^4*(-a*e+b*d)^2*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-4/5*b^5*(-a*e+b*d)*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/17*b^6*(e*x+d)^(17/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,2/3*(-a*e+b*d)^6*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-12/5*b*(-a*e+b*d)^5*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+30/7*b^2*(-a*e+b*d)^4*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-40/9*b^3*(-a*e+b*d)^3*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+30/11*b^4*(-a*e+b*d)^2*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-12/13*b^5*(-a*e+b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/15*b^6*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/sqrt(e*x+d),x,3,2*(-a*e+b*d)^6*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-4*b*(-a*e+b*d)^5*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+6*b^2*(-a*e+b*d)^4*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-40/7*b^3*(-a*e+b*d)^3*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/3*b^4*(-a*e+b*d)^2*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-12/11*b^5*(-a*e+b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/13*b^6*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(3/2),x,3,-2*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)-12*b*(-a*e+b*d)^5*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10*b^2*(-a*e+b*d)^4*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-8*b^3*(-a*e+b*d)^3*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+30/7*b^4*(-a*e+b*d)^2*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-4/3*b^5*(-a*e+b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/11*b^6*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(5/2),x,3,-2/3*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)+12*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)+30*b^2*(-a*e+b*d)^4*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-40/3*b^3*(-a*e+b*d)^3*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+6*b^4*(-a*e+b*d)^2*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-12/7*b^5*(-a*e+b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/9*b^6*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(7/2),x,3,-2/5*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(5/2)+4*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)-30*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)-40*b^3*(-a*e+b*d)^3*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10*b^4*(-a*e+b*d)^2*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-12/5*b^5*(-a*e+b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/7*b^6*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(9/2),x,3,-2/7*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(7/2)+12/5*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(5/2)-10*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)+40*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)+30*b^4*(-a*e+b*d)^2*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-4*b^5*(-a*e+b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/5*b^6*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(11/2),x,3,-2/9*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(9/2)+12/7*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(7/2)-6*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(5/2)+40/3*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)-30*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)-12*b^5*(-a*e+b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/3*b^6*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(13/2),x,3,-2/11*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(11/2)+4/3*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(9/2)-30/7*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(7/2)+8*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(5/2)-10*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)+12*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)+2*b^6*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(15/2),x,3,-2/13*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(13/2)+12/11*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(11/2)-10/3*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(9/2)+40/7*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(7/2)-6*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(5/2)+4*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)-2*b^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(17/2),x,3,-2/15*(-a*e+b*d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(15/2)+12/13*b*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(13/2)-30/11*b^2*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(11/2)+40/9*b^3*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(9/2)-30/7*b^4*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(7/2)+12/5*b^5*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(5/2)-2/3*b^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2),1],
[(b*x+a)*(e*x+d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,2/9*(b*x+a)*(e*x+d)^(9/2)/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,2/7*(b*x+a)*(e*x+d)^(7/2)/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,2/5*(b*x+a)*(e*x+d)^(5/2)/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,2/3*(b*x+a)*(e*x+d)^(3/2)/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,2*(b*x+a)*sqrt(e*x+d)/e/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,(-2*b*x-2*a)/e/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/3*(-2*b*x-2*a)/e/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,1/5*(-2*b*x-2*a)/e/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,6,7*e*(-a*e+b*d)^2*(b*x+a)*sqrt(e*x+d)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+7/3*e*(-a*e+b*d)*(b*x+a)*(e*x+d)^(3/2)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+7/5*e*(b*x+a)*(e*x+d)^(5/2)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)-(e*x+d)^(7/2)/b/sqrt(b^2*x^2+2*a*b*x+a^2)-7*e*(-a*e+b*d)^(5/2)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,6,5*e*(-a*e+b*d)*(b*x+a)*sqrt(e*x+d)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+5/3*e*(b*x+a)*(e*x+d)^(3/2)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)-(e*x+d)^(5/2)/b/sqrt(b^2*x^2+2*a*b*x+a^2)-5*e*(-a*e+b*d)^(3/2)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,5,3*e*(b*x+a)*sqrt(e*x+d)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)-(e*x+d)^(3/2)/b/sqrt(b^2*x^2+2*a*b*x+a^2)-3*e*sqrt(-a*e+b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,4,-sqrt(e*x+d)/b/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/sqrt(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,4,-sqrt(e*x+d)/(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2)+e*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,5,-1/(-a*e+b*d)/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-3*e*(b*x+a)/(-a*e+b*d)^2/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+3*sqrt(b)*e*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,6,-1/(-a*e+b*d)/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-5/3*e*(b*x+a)/(-a*e+b*d)^2/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-5*b*e*(b*x+a)/(-a*e+b*d)^3/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+5*b^(3/2)*e*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,7,-1/(-a*e+b*d)/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-7/5*e*(b*x+a)/(-a*e+b*d)^2/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-7/3*b*e*(b*x+a)/(-a*e+b*d)^3/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-7*b^2*e*(b*x+a)/(-a*e+b*d)^4/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+7*b^(5/2)*e*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,7,35/8*e^3*(b*x+a)*sqrt(e*x+d)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)-35/24*e^2*(e*x+d)^(3/2)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)-7/12*e*(e*x+d)^(5/2)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(e*x+d)^(7/2)/b/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-35/8*e^3*sqrt(-a*e+b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,6,-5/8*e^2*sqrt(e*x+d)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)-5/12*e*(e*x+d)^(3/2)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(e*x+d)^(5/2)/b/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-5/8*e^3*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/sqrt(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,6,-1/8*e^2*sqrt(e*x+d)/b^2/(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*e*sqrt(e*x+d)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(e*x+d)^(3/2)/b/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/8*e^3*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/(-a*e+b*d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,6,1/8*e^2*sqrt(e*x+d)/b/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*sqrt(e*x+d)/b/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/12*e*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/8*e^3*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,6,-5/8*e^2*sqrt(e*x+d)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*sqrt(e*x+d)/(-a*e+b*d)/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+5/12*e*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+5/8*e^3*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,7,-35/24*e^2/(-a*e+b*d)^3/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3/(-a*e+b*d)/(b*x+a)^2/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+7/12*e/(-a*e+b*d)^2/(b*x+a)/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-35/8*e^3*(b*x+a)/(-a*e+b*d)^4/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+35/8*sqrt(b)*e^3*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,8,-21/8*e^2/(-a*e+b*d)^3/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3/(-a*e+b*d)/(b*x+a)^2/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)+3/4*e/(-a*e+b*d)^2/(b*x+a)/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-35/8*e^3*(b*x+a)/(-a*e+b*d)^4/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-105/8*b*e^3*(b*x+a)/(-a*e+b*d)^5/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+105/8*b^(3/2)*e^3*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(11/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,9,-33/8*e^2/(-a*e+b*d)^3/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3/(-a*e+b*d)/(b*x+a)^2/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)+11/12*e/(-a*e+b*d)^2/(b*x+a)/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-231/40*e^3*(b*x+a)/(-a*e+b*d)^4/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-77/8*b*e^3*(b*x+a)/(-a*e+b*d)^5/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-231/8*b^2*e^3*(b*x+a)/(-a*e+b*d)^6/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+231/8*b^(5/2)*e^3*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(13/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-(-a*e+b*d)^7*(e*x+d)^(1+m)/e^8/(1+m)+7*b*(-a*e+b*d)^6*(e*x+d)^(2+m)/e^8/(2+m)-21*b^2*(-a*e+b*d)^5*(e*x+d)^(3+m)/e^8/(3+m)+35*b^3*(-a*e+b*d)^4*(e*x+d)^(4+m)/e^8/(4+m)-35*b^4*(-a*e+b*d)^3*(e*x+d)^(5+m)/e^8/(5+m)+21*b^5*(-a*e+b*d)^2*(e*x+d)^(6+m)/e^8/(6+m)-7*b^6*(-a*e+b*d)*(e*x+d)^(7+m)/e^8/(7+m)+b^7*(e*x+d)^(8+m)/e^8/(8+m),1],
[(b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-(-a*e+b*d)^5*(e*x+d)^(1+m)/e^6/(1+m)+5*b*(-a*e+b*d)^4*(e*x+d)^(2+m)/e^6/(2+m)-10*b^2*(-a*e+b*d)^3*(e*x+d)^(3+m)/e^6/(3+m)+10*b^3*(-a*e+b*d)^2*(e*x+d)^(4+m)/e^6/(4+m)-5*b^4*(-a*e+b*d)*(e*x+d)^(5+m)/e^6/(5+m)+b^5*(e*x+d)^(6+m)/e^6/(6+m),1],
[(b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2),x,3,-(-a*e+b*d)^3*(e*x+d)^(1+m)/e^4/(1+m)+3*b*(-a*e+b*d)^2*(e*x+d)^(2+m)/e^4/(2+m)-3*b^2*(-a*e+b*d)*(e*x+d)^(3+m)/e^4/(3+m)+b^3*(e*x+d)^(4+m)/e^4/(4+m),1],
[(b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x,3,-(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/(-a*e+b*d)/(1+m),1],
[(b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-e^2*(e*x+d)^(1+m)*hypergeom([3, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/(-a*e+b*d)^3/(1+m),1],
[(b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,(-a*e+b*d)^6*(e*x+d)^(1+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(1+m)/(b*x+a)-6*b*(-a*e+b*d)^5*(e*x+d)^(2+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(2+m)/(b*x+a)+15*b^2*(-a*e+b*d)^4*(e*x+d)^(3+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(3+m)/(b*x+a)-20*b^3*(-a*e+b*d)^3*(e*x+d)^(4+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(4+m)/(b*x+a)+15*b^4*(-a*e+b*d)^2*(e*x+d)^(5+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(5+m)/(b*x+a)-6*b^5*(-a*e+b*d)*(e*x+d)^(6+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(6+m)/(b*x+a)+b^6*(e*x+d)^(7+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(7+m)/(b*x+a),1],
[(b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,(-a*e+b*d)^4*(e*x+d)^(1+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(1+m)/(b*x+a)-4*b*(-a*e+b*d)^3*(e*x+d)^(2+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(2+m)/(b*x+a)+6*b^2*(-a*e+b*d)^2*(e*x+d)^(3+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(3+m)/(b*x+a)-4*b^3*(-a*e+b*d)*(e*x+d)^(4+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(4+m)/(b*x+a)+b^4*(e*x+d)^(5+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(5+m)/(b*x+a),1],
[(b*x+a)*(e*x+d)^m*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,(-a*e+b*d)^2*(e*x+d)^(1+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(1+m)/(b*x+a)-2*b*(-a*e+b*d)*(e*x+d)^(2+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(2+m)/(b*x+a)+b^2*(e*x+d)^(3+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(3+m)/(b*x+a),1],
[(b*x+a)*(e*x+d)^m/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,(b*x+a)*(e*x+d)^(1+m)/e/(1+m)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,2,e*(b*x+a)*(e*x+d)^(1+m)*hypergeom([2, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/(-a*e+b*d)^2/(1+m)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,2,e^3*(b*x+a)*(e*x+d)^(1+m)*hypergeom([4, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/(-a*e+b*d)^4/(1+m)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*c*x+a*c)*(e*x+d)^(-3-2*p)*(b^2*x^2+2*a*b*x+a^2)^p,x,1,1/2*c*(b^2*x^2+2*a*b*x+a^2)^(p+1)/(-a*e+b*d)/(p+1)/((e*x+d)^(2*p+2)),1],
[(b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^p,x,3,1/2*(-a*e+b*d)^3*(b*x+a)^2*(b^2*x^2+2*a*b*x+a^2)^p/b^4/(p+1)+3*e*(-a*e+b*d)^2*(b*x+a)^3*(b^2*x^2+2*a*b*x+a^2)^p/b^4/(3+2*p)+3/2*e^2*(-a*e+b*d)*(b*x+a)^4*(b^2*x^2+2*a*b*x+a^2)^p/b^4/(2+p)+e^3*(b*x+a)^5*(b^2*x^2+2*a*b*x+a^2)^p/b^4/(5+2*p),1],
[(b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^p,x,3,1/2*(-a*e+b*d)^2*(b*x+a)^2*(b^2*x^2+2*a*b*x+a^2)^p/b^3/(p+1)+2*e*(-a*e+b*d)*(b*x+a)^3*(b^2*x^2+2*a*b*x+a^2)^p/b^3/(3+2*p)+1/2*e^2*(b*x+a)^4*(b^2*x^2+2*a*b*x+a^2)^p/b^3/(2+p),1],
[(b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^p,x,1,-1/2*(a*e-b*d*(3+2*p)-2*b*e*(p+1)*x)*(b^2*x^2+2*a*b*x+a^2)^(p+1)/b^2/(p+1)/(3+2*p),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^p,x,1,1/2*(b^2*x^2+2*a*b*x+a^2)^(p+1)/b/(p+1),1],
[(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^p/(e*x+d),x,2,1/2*(b*x+a)^2*(b^2*x^2+2*a*b*x+a^2)^p*hypergeom([1, 2*p+2],[3+2*p],-e*(b*x+a)/(-a*e+b*d))/(-a*e+b*d)/(p+1),1],
[(b*c*x+a*c)^m*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^3,x,4,(-a*g+b*f)*(b*c*x+a*c)^(7+m)/b^2/c^7/(7+m)+g*(b*c*x+a*c)^(8+m)/b^2/c^8/(8+m),1],
[(b*c*x+a*c)^m*(g*x+f)/(b^2*x^2+2*a*b*x+a^2)^3,x,4,-c^5*(-a*g+b*f)*(b*c*x+a*c)^(-5+m)/b^2/(5-m)-c^4*g*(b*c*x+a*c)^(-4+m)/b^2/(4-m),1],
[(b*c*x+a*c)^m*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,(-a*g+b*f)*(b*c*x+a*c)^(3+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/b^2/c^3/(4+m)+g*(b*c*x+a*c)^(4+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/b^2/c^4/(5+m),1],
[(b*c*x+a*c)^m*(g*x+f)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-c*(-a*g+b*f)*(b*c*x+a*c)^(-1+m)/b^2/(2-m)/sqrt(b^2*x^2+2*a*b*x+a^2)-g*(b*c*x+a*c)^m/b^2/(1-m)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(b*c*x+a*c)^m*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x,3,(-a*g+b*f)*(b*c*x+a*c)^(1+m)*(b^2*x^2+2*a*b*x+a^2)^p/b^2/c/(1+m+2*p)+g*(b*c*x+a*c)^(2+m)*(b^2*x^2+2*a*b*x+a^2)^p/b^2/c^2/(2+m+2*p),1],
[(b*c*x+a*c)^(-3-2*p)*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x,2,-1/2*(g*x+f)^2*(b^2*x^2+2*a*b*x+a^2)^p/c^3/(-a*g+b*f)/(b*x+a)^2/((b*c*x+a*c)^(2*p)),1],
[(B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2),x,3,-1/6*(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^6/e^4+1/7*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^7/e^4-1/8*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^8/e^4+1/9*b^2*B*(e*x+d)^9/e^4,1],
[(B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2),x,3,-1/5*(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^5/e^4+1/6*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^6/e^4-1/7*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^7/e^4+1/8*b^2*B*(e*x+d)^8/e^4,1],
[(B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2),x,3,-1/4*(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^4/e^4+1/5*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^5/e^4-1/6*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^6/e^4+1/7*b^2*B*(e*x+d)^7/e^4,1],
[(B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2),x,3,1/3*(A*b-B*a)*(-a*e+b*d)^2*(b*x+a)^3/b^4+1/4*(-a*e+b*d)*(2*A*b*e-3*B*a*e+B*b*d)*(b*x+a)^4/b^4+1/5*e*(A*b*e-3*B*a*e+2*B*b*d)*(b*x+a)^5/b^4+1/6*B*e^2*(b*x+a)^6/b^4,1],
[(B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x,3,1/3*(A*b-B*a)*(-a*e+b*d)*(b*x+a)^3/b^3+1/4*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^4/b^3+1/5*B*e*(b*x+a)^5/b^3,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x,3,1/3*(A*b-B*a)*(b*x+a)^3/b^2+1/4*B*(b*x+a)^4/b^2,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x,3,b*(-a*e+b*d)*(-A*e+B*d)*x/e^3-1/2*(-A*e+B*d)*(b*x+a)^2/e^2+1/3*B*(b*x+a)^3/b/e-(-a*e+b*d)^2*(-A*e+B*d)*ln(e*x+d)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x,3,-b*(-A*b*e-2*B*a*e+2*B*b*d)*x/e^3+1/2*b^2*B*x^2/e^2+(-a*e+b*d)^2*(-A*e+B*d)/e^4/(e*x+d)+(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*ln(e*x+d)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x,3,b^2*B*x/e^3+1/2*(-a*e+b*d)^2*(-A*e+B*d)/e^4/(e*x+d)^2-(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)/e^4/(e*x+d)-b*(-A*b*e-2*B*a*e+3*B*b*d)*ln(e*x+d)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x,4,-1/3*(-A*e+B*d)*(b*x+a)^3/e/(-a*e+b*d)/(e*x+d)^3-1/2*B*(-a*e+b*d)^2/e^4/(e*x+d)^2+2*b*B*(-a*e+b*d)/e^4/(e*x+d)+b^2*B*ln(e*x+d)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^5,x,3,-1/4*(-A*e+B*d)*(b*x+a)^3/e/(-a*e+b*d)/(e*x+d)^4+1/12*(A*b*e-4*B*a*e+3*B*b*d)*(b*x+a)^3/e/(-a*e+b*d)^2/(e*x+d)^3,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^6,x,3,1/5*(-a*e+b*d)^2*(-A*e+B*d)/e^4/(e*x+d)^5-1/4*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)/e^4/(e*x+d)^4+1/3*b*(-A*b*e-2*B*a*e+3*B*b*d)/e^4/(e*x+d)^3-1/2*b^2*B/e^4/(e*x+d)^2,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^7,x,3,1/6*(-a*e+b*d)^2*(-A*e+B*d)/e^4/(e*x+d)^6-1/5*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)/e^4/(e*x+d)^5+1/4*b*(-A*b*e-2*B*a*e+3*B*b*d)/e^4/(e*x+d)^4-1/3*b^2*B/e^4/(e*x+d)^3,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^8,x,3,1/7*(-a*e+b*d)^2*(-A*e+B*d)/e^4/(e*x+d)^7-1/6*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)/e^4/(e*x+d)^6+1/5*b*(-A*b*e-2*B*a*e+3*B*b*d)/e^4/(e*x+d)^5-1/4*b^2*B/e^4/(e*x+d)^4,1],
[(B*x+A)*(e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/8*(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^8/e^6+1/9*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^9/e^6-1/5*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^10/e^6+2/11*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^11/e^6-1/12*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^12/e^6+1/13*b^4*B*(e*x+d)^13/e^6,1],
[(B*x+A)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/7*(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^7/e^6+1/8*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^8/e^6-2/9*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^9/e^6+1/5*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^10/e^6-1/11*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^11/e^6+1/12*b^4*B*(e*x+d)^12/e^6,1],
[(B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/6*(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^6/e^6+1/7*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^7/e^6-1/4*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^8/e^6+2/9*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^9/e^6-1/10*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^10/e^6+1/11*b^4*B*(e*x+d)^11/e^6,1],
[(B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/5*(A*b-B*a)*(-a*e+b*d)^4*(b*x+a)^5/b^6+1/6*(-a*e+b*d)^3*(4*A*b*e-5*B*a*e+B*b*d)*(b*x+a)^6/b^6+2/7*e*(-a*e+b*d)^2*(3*A*b*e-5*B*a*e+2*B*b*d)*(b*x+a)^7/b^6+1/4*e^2*(-a*e+b*d)*(2*A*b*e-5*B*a*e+3*B*b*d)*(b*x+a)^8/b^6+1/9*e^3*(A*b*e-5*B*a*e+4*B*b*d)*(b*x+a)^9/b^6+1/10*B*e^4*(b*x+a)^10/b^6,1],
[(B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/5*(A*b-B*a)*(-a*e+b*d)^3*(b*x+a)^5/b^5+1/6*(-a*e+b*d)^2*(3*A*b*e-4*B*a*e+B*b*d)*(b*x+a)^6/b^5+3/7*e*(-a*e+b*d)*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^7/b^5+1/8*e^2*(A*b*e-4*B*a*e+3*B*b*d)*(b*x+a)^8/b^5+1/9*B*e^3*(b*x+a)^9/b^5,1],
[(B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/5*(A*b-B*a)*(-a*e+b*d)^2*(b*x+a)^5/b^4+1/6*(-a*e+b*d)*(2*A*b*e-3*B*a*e+B*b*d)*(b*x+a)^6/b^4+1/7*e*(A*b*e-3*B*a*e+2*B*b*d)*(b*x+a)^7/b^4+1/8*B*e^2*(b*x+a)^8/b^4,1],
[(B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/5*(A*b-B*a)*(-a*e+b*d)*(b*x+a)^5/b^3+1/6*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^6/b^3+1/7*B*e*(b*x+a)^7/b^3,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,1/5*(A*b-B*a)*(b*x+a)^5/b^2+1/6*B*(b*x+a)^6/b^2,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d),x,3,b*(-a*e+b*d)^3*(-A*e+B*d)*x/e^5-1/2*(-a*e+b*d)^2*(-A*e+B*d)*(b*x+a)^2/e^4+1/3*(-a*e+b*d)*(-A*e+B*d)*(b*x+a)^3/e^3-1/4*(-A*e+B*d)*(b*x+a)^4/e^2+1/5*B*(b*x+a)^5/b/e-(-a*e+b*d)^4*(-A*e+B*d)*ln(e*x+d)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^2,x,3,-2*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*x/e^5+(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)+b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^2/e^6-1/3*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^3/e^6+1/4*b^4*B*(e*x+d)^4/e^6+(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*ln(e*x+d)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^3,x,3,2*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*x/e^5+1/2*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^2-(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/(e*x+d)-1/2*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^2/e^6+1/3*b^4*B*(e*x+d)^3/e^6-2*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*ln(e*x+d)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^4,x,3,-b^3*(-A*b*e-4*B*a*e+4*B*b*d)*x/e^5+1/2*b^4*B*x^2/e^4+1/3*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^3-1/2*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/(e*x+d)^2+2*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)/e^6/(e*x+d)+2*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*ln(e*x+d)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^5,x,3,b^4*B*x/e^5+1/4*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^4-1/3*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/(e*x+d)^3+b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)/e^6/(e*x+d)^2-2*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)/e^6/(e*x+d)-b^3*(-A*b*e-4*B*a*e+5*B*b*d)*ln(e*x+d)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^6,x,4,-1/5*(-A*e+B*d)*(b*x+a)^5/e/(-a*e+b*d)/(e*x+d)^5-1/4*B*(-a*e+b*d)^4/e^6/(e*x+d)^4+4/3*b*B*(-a*e+b*d)^3/e^6/(e*x+d)^3-3*b^2*B*(-a*e+b*d)^2/e^6/(e*x+d)^2+4*b^3*B*(-a*e+b*d)/e^6/(e*x+d)+b^4*B*ln(e*x+d)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^7,x,3,-1/6*(-A*e+B*d)*(b*x+a)^5/e/(-a*e+b*d)/(e*x+d)^6+1/30*(A*b*e-6*B*a*e+5*B*b*d)*(b*x+a)^5/e/(-a*e+b*d)^2/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^8,x,4,-1/7*(-A*e+B*d)*(b*x+a)^5/e/(-a*e+b*d)/(e*x+d)^7+1/42*(2*A*b*e-7*B*a*e+5*B*b*d)*(b*x+a)^5/e/(-a*e+b*d)^2/(e*x+d)^6+1/210*b*(2*A*b*e-7*B*a*e+5*B*b*d)*(b*x+a)^5/e/(-a*e+b*d)^3/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^9,x,5,-1/8*(-A*e+B*d)*(b*x+a)^5/e/(-a*e+b*d)/(e*x+d)^8+1/56*(3*A*b*e-8*B*a*e+5*B*b*d)*(b*x+a)^5/e/(-a*e+b*d)^2/(e*x+d)^7+1/168*b*(3*A*b*e-8*B*a*e+5*B*b*d)*(b*x+a)^5/e/(-a*e+b*d)^3/(e*x+d)^6+1/840*b^2*(3*A*b*e-8*B*a*e+5*B*b*d)*(b*x+a)^5/e/(-a*e+b*d)^4/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^10,x,3,1/9*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^9-1/8*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/(e*x+d)^8+2/7*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)/e^6/(e*x+d)^7-1/3*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)/e^6/(e*x+d)^6+1/5*b^3*(-A*b*e-4*B*a*e+5*B*b*d)/e^6/(e*x+d)^5-1/4*b^4*B/e^6/(e*x+d)^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^11,x,3,1/10*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^10-1/9*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/(e*x+d)^9+1/4*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)/e^6/(e*x+d)^8-2/7*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)/e^6/(e*x+d)^7+1/6*b^3*(-A*b*e-4*B*a*e+5*B*b*d)/e^6/(e*x+d)^6-1/5*b^4*B/e^6/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^12,x,3,1/11*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^11-1/10*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/(e*x+d)^10+2/9*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)/e^6/(e*x+d)^9-1/4*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)/e^6/(e*x+d)^8+1/7*b^3*(-A*b*e-4*B*a*e+5*B*b*d)/e^6/(e*x+d)^7-1/6*b^4*B/e^6/(e*x+d)^6,1],
[(B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x,3,2*e*(-a*e+b*d)^2*(3*A*b*e-5*B*a*e+2*B*b*d)*x/b^5-(A*b-B*a)*(-a*e+b*d)^4/b^6/(b*x+a)+e^2*(-a*e+b*d)*(2*A*b*e-5*B*a*e+3*B*b*d)*(b*x+a)^2/b^6+1/3*e^3*(A*b*e-5*B*a*e+4*B*b*d)*(b*x+a)^3/b^6+1/4*B*e^4*(b*x+a)^4/b^6+(-a*e+b*d)^3*(4*A*b*e-5*B*a*e+B*b*d)*ln(b*x+a)/b^6,1],
[(B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x,3,e*(3*a^2*B*e^2+3*b^2*d*(A*e+B*d)-2*a*b*e*(A*e+3*B*d))*x/b^4+1/2*e^2*(A*b*e-2*B*a*e+3*B*b*d)*x^2/b^3+1/3*B*e^3*x^3/b^2-(A*b-B*a)*(-a*e+b*d)^3/b^5/(b*x+a)+(-a*e+b*d)^2*(3*A*b*e-4*B*a*e+B*b*d)*ln(b*x+a)/b^5,1],
[(B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x,3,e*(A*b*e-2*B*a*e+2*B*b*d)*x/b^3+1/2*B*e^2*x^2/b^2-(A*b-B*a)*(-a*e+b*d)^2/b^4/(b*x+a)+(-a*e+b*d)*(2*A*b*e-3*B*a*e+B*b*d)*ln(b*x+a)/b^4,1],
[(B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,3,B*e*x/b^2-(A*b-B*a)*(-a*e+b*d)/b^3/(b*x+a)+(A*b*e-2*B*a*e+B*b*d)*ln(b*x+a)/b^3,1],
[(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x,3,-(A*b-B*a)/b^2/(b*x+a)+B*ln(b*x+a)/b^2,1],
[(B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,3,-(A*b-B*a)/b/(-a*e+b*d)/(b*x+a)+(-A*e+B*d)*ln(b*x+a)/(-a*e+b*d)^2-(-A*e+B*d)*ln(e*x+d)/(-a*e+b*d)^2,1],
[(B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x,3,-(A*b-B*a)/(-a*e+b*d)^2/(b*x+a)+(-A*e+B*d)/(-a*e+b*d)^2/(e*x+d)+(-2*A*b*e+B*a*e+B*b*d)*ln(b*x+a)/(-a*e+b*d)^3-(-2*A*b*e+B*a*e+B*b*d)*ln(e*x+d)/(-a*e+b*d)^3,1],
[(B*x+A)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x,3,-b*(A*b-B*a)/(-a*e+b*d)^3/(b*x+a)+1/2*(-A*e+B*d)/(-a*e+b*d)^2/(e*x+d)^2+(-2*A*b*e+B*a*e+B*b*d)/(-a*e+b*d)^3/(e*x+d)+b*(-3*A*b*e+2*B*a*e+B*b*d)*ln(b*x+a)/(-a*e+b*d)^4-b*(-3*A*b*e+2*B*a*e+B*b*d)*ln(e*x+d)/(-a*e+b*d)^4,1],
[(B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x,3,e^3*(A*b*e-4*B*a*e+4*B*b*d)*x/b^5+1/2*B*e^4*x^2/b^4-1/3*(A*b-B*a)*(-a*e+b*d)^4/b^6/(b*x+a)^3-1/2*(-a*e+b*d)^3*(4*A*b*e-5*B*a*e+B*b*d)/b^6/(b*x+a)^2-2*e*(-a*e+b*d)^2*(3*A*b*e-5*B*a*e+2*B*b*d)/b^6/(b*x+a)+2*e^2*(-a*e+b*d)*(2*A*b*e-5*B*a*e+3*B*b*d)*ln(b*x+a)/b^6,1],
[(B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x,3,B*e^3*x/b^4-1/3*(A*b-B*a)*(-a*e+b*d)^3/b^5/(b*x+a)^3-1/2*(-a*e+b*d)^2*(3*A*b*e-4*B*a*e+B*b*d)/b^5/(b*x+a)^2-3*e*(-a*e+b*d)*(A*b*e-2*B*a*e+B*b*d)/b^5/(b*x+a)+e^2*(A*b*e-4*B*a*e+3*B*b*d)*ln(b*x+a)/b^5,1],
[(B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x,4,-1/2*B*(-a*e+b*d)^2/b^4/(b*x+a)^2-2*B*e*(-a*e+b*d)/b^4/(b*x+a)-1/3*(A*b-B*a)*(e*x+d)^3/b/(-a*e+b*d)/(b*x+a)^3+B*e^2*ln(b*x+a)/b^4,1],
[(B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/3*(A*b-B*a)*(-a*e+b*d)/b^3/(b*x+a)^3-1/2*(A*b*e-2*B*a*e+B*b*d)/b^3/(b*x+a)^2-B*e/b^3/(b*x+a),1],
[(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/3*(A*b-B*a)/b^2/(b*x+a)^3-1/2*B/b^2/(b*x+a)^2,1],
[(B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/3*(A*b-B*a)/b/(-a*e+b*d)/(b*x+a)^3-1/2*(-A*e+B*d)/(-a*e+b*d)^2/(b*x+a)^2+e*(-A*e+B*d)/(-a*e+b*d)^3/(b*x+a)+e^2*(-A*e+B*d)*ln(b*x+a)/(-a*e+b*d)^4-e^2*(-A*e+B*d)*ln(e*x+d)/(-a*e+b*d)^4,1],
[(B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-1/3*(A*b-B*a)/(-a*e+b*d)^2/(b*x+a)^3-1/2*(-2*A*b*e+B*a*e+B*b*d)/(-a*e+b*d)^3/(b*x+a)^2+e*(-3*A*b*e+B*a*e+2*B*b*d)/(-a*e+b*d)^4/(b*x+a)+e^2*(-A*e+B*d)/(-a*e+b*d)^4/(e*x+d)+e^2*(-4*A*b*e+B*a*e+3*B*b*d)*ln(b*x+a)/(-a*e+b*d)^5-e^2*(-4*A*b*e+B*a*e+3*B*b*d)*ln(e*x+d)/(-a*e+b*d)^5,1],
[(B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/9*(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^(9/2)/e^4+2/11*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(11/2)/e^4-2/13*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(13/2)/e^4+2/15*b^2*B*(e*x+d)^(15/2)/e^4,1],
[(B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/7*(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^(7/2)/e^4+2/9*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(9/2)/e^4-2/11*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(11/2)/e^4+2/13*b^2*B*(e*x+d)^(13/2)/e^4,1],
[(B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/5*(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^(5/2)/e^4+2/7*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(7/2)/e^4-2/9*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(9/2)/e^4+2/11*b^2*B*(e*x+d)^(11/2)/e^4,1],
[(B*x+A)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x,3,-2/3*(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^(3/2)/e^4+2/5*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(5/2)/e^4-2/7*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(7/2)/e^4+2/9*b^2*B*(e*x+d)^(9/2)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/sqrt(e*x+d),x,3,-2*(-a*e+b*d)^2*(-A*e+B*d)*sqrt(e*x+d)/e^4+2/3*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(3/2)/e^4-2/5*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(5/2)/e^4+2/7*b^2*B*(e*x+d)^(7/2)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x,3,2*(-a*e+b*d)^2*(-A*e+B*d)/e^4/sqrt(e*x+d)+2*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(e*x+d)/e^4-2/3*b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(3/2)/e^4+2/5*b^2*B*(e*x+d)^(5/2)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x,3,2/3*(-a*e+b*d)^2*(-A*e+B*d)/e^4/(e*x+d)^(3/2)-2*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)/e^4/sqrt(e*x+d)-2*b*(-A*b*e-2*B*a*e+3*B*b*d)*sqrt(e*x+d)/e^4+2/3*b^2*B*(e*x+d)^(3/2)/e^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x,3,2/5*(-a*e+b*d)^2*(-A*e+B*d)/e^4/(e*x+d)^(5/2)-2/3*(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)/e^4/(e*x+d)^(3/2)+2*b*(-A*b*e-2*B*a*e+3*B*b*d)/e^4/sqrt(e*x+d)+2*b^2*B*sqrt(e*x+d)/e^4,1],
[(B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/9*(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^(9/2)/e^6+2/11*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^(11/2)/e^6-4/13*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^(13/2)/e^6+4/15*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(15/2)/e^6-2/17*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(17/2)/e^6+2/19*b^4*B*(e*x+d)^(19/2)/e^6,1],
[(B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/7*(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^(7/2)/e^6+2/9*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^(9/2)/e^6-4/11*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^(11/2)/e^6+4/13*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(13/2)/e^6-2/15*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(15/2)/e^6+2/17*b^4*B*(e*x+d)^(17/2)/e^6,1],
[(B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/5*(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^(5/2)/e^6+2/7*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^(7/2)/e^6-4/9*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^(9/2)/e^6+4/11*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(11/2)/e^6-2/13*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(13/2)/e^6+2/15*b^4*B*(e*x+d)^(15/2)/e^6,1],
[(B*x+A)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-2/3*(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^(3/2)/e^6+2/5*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^(5/2)/e^6-4/7*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^(7/2)/e^6+4/9*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(9/2)/e^6-2/11*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(11/2)/e^6+2/13*b^4*B*(e*x+d)^(13/2)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/sqrt(e*x+d),x,3,-2*(-a*e+b*d)^4*(-A*e+B*d)*sqrt(e*x+d)/e^6+2/3*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^(3/2)/e^6-4/5*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^(5/2)/e^6+4/7*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(7/2)/e^6-2/9*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(9/2)/e^6+2/11*b^4*B*(e*x+d)^(11/2)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(3/2),x,3,2*(-a*e+b*d)^4*(-A*e+B*d)/e^6/sqrt(e*x+d)+2*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*sqrt(e*x+d)/e^6-4/3*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^(3/2)/e^6+4/5*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(5/2)/e^6-2/7*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(7/2)/e^6+2/9*b^4*B*(e*x+d)^(9/2)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(5/2),x,3,2/3*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^(3/2)-2*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/sqrt(e*x+d)-4*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*sqrt(e*x+d)/e^6+4/3*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(3/2)/e^6-2/5*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(5/2)/e^6+2/7*b^4*B*(e*x+d)^(7/2)/e^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(7/2),x,3,2/5*(-a*e+b*d)^4*(-A*e+B*d)/e^6/(e*x+d)^(5/2)-2/3*(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)/e^6/(e*x+d)^(3/2)+4*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)/e^6/sqrt(e*x+d)+4*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*sqrt(e*x+d)/e^6-2/3*b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(3/2)/e^6+2/5*b^4*B*(e*x+d)^(5/2)/e^6,1],
[(B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/9*(-a*e+b*d)^6*(-A*e+B*d)*(e*x+d)^(9/2)/e^8+2/11*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)*(e*x+d)^(11/2)/e^8-6/13*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)*(e*x+d)^(13/2)/e^8+2/3*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*(e*x+d)^(15/2)/e^8-10/17*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(17/2)/e^8+6/19*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(19/2)/e^8-2/21*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(21/2)/e^8+2/23*b^6*B*(e*x+d)^(23/2)/e^8,1],
[(B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/7*(-a*e+b*d)^6*(-A*e+B*d)*(e*x+d)^(7/2)/e^8+2/9*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)*(e*x+d)^(9/2)/e^8-6/11*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)*(e*x+d)^(11/2)/e^8+10/13*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*(e*x+d)^(13/2)/e^8-2/3*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(15/2)/e^8+6/17*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(17/2)/e^8-2/19*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(19/2)/e^8+2/21*b^6*B*(e*x+d)^(21/2)/e^8,1],
[(B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/5*(-a*e+b*d)^6*(-A*e+B*d)*(e*x+d)^(5/2)/e^8+2/7*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)*(e*x+d)^(7/2)/e^8-2/3*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)*(e*x+d)^(9/2)/e^8+10/11*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*(e*x+d)^(11/2)/e^8-10/13*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(13/2)/e^8+2/5*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(15/2)/e^8-2/17*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(17/2)/e^8+2/19*b^6*B*(e*x+d)^(19/2)/e^8,1],
[(B*x+A)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^3,x,3,-2/3*(-a*e+b*d)^6*(-A*e+B*d)*(e*x+d)^(3/2)/e^8+2/5*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)*(e*x+d)^(5/2)/e^8-6/7*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)*(e*x+d)^(7/2)/e^8+10/9*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*(e*x+d)^(9/2)/e^8-10/11*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(11/2)/e^8+6/13*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(13/2)/e^8-2/15*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(15/2)/e^8+2/17*b^6*B*(e*x+d)^(17/2)/e^8,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/sqrt(e*x+d),x,3,-2*(-a*e+b*d)^6*(-A*e+B*d)*sqrt(e*x+d)/e^8+2/3*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)*(e*x+d)^(3/2)/e^8-6/5*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)*(e*x+d)^(5/2)/e^8+10/7*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*(e*x+d)^(7/2)/e^8-10/9*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(9/2)/e^8+6/11*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(11/2)/e^8-2/13*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(13/2)/e^8+2/15*b^6*B*(e*x+d)^(15/2)/e^8,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(3/2),x,3,2*(-a*e+b*d)^6*(-A*e+B*d)/e^8/sqrt(e*x+d)+2*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)*sqrt(e*x+d)/e^8-2*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)*(e*x+d)^(3/2)/e^8+2*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*(e*x+d)^(5/2)/e^8-10/7*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(7/2)/e^8+2/3*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(9/2)/e^8-2/11*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(11/2)/e^8+2/13*b^6*B*(e*x+d)^(13/2)/e^8,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(5/2),x,3,2/3*(-a*e+b*d)^6*(-A*e+B*d)/e^8/(e*x+d)^(3/2)-2*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)/e^8/sqrt(e*x+d)-6*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)*sqrt(e*x+d)/e^8+10/3*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*(e*x+d)^(3/2)/e^8-2*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(5/2)/e^8+6/7*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(7/2)/e^8-2/9*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(9/2)/e^8+2/11*b^6*B*(e*x+d)^(11/2)/e^8,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(7/2),x,3,2/5*(-a*e+b*d)^6*(-A*e+B*d)/e^8/(e*x+d)^(5/2)-2/3*(-a*e+b*d)^5*(-6*A*b*e-B*a*e+7*B*b*d)/e^8/(e*x+d)^(3/2)+6*b*(-a*e+b*d)^4*(-5*A*b*e-2*B*a*e+7*B*b*d)/e^8/sqrt(e*x+d)+10*b^2*(-a*e+b*d)^3*(-4*A*b*e-3*B*a*e+7*B*b*d)*sqrt(e*x+d)/e^8-10/3*b^3*(-a*e+b*d)^2*(-3*A*b*e-4*B*a*e+7*B*b*d)*(e*x+d)^(3/2)/e^8+6/5*b^4*(-a*e+b*d)*(-2*A*b*e-5*B*a*e+7*B*b*d)*(e*x+d)^(5/2)/e^8-2/7*b^5*(-A*b*e-6*B*a*e+7*B*b*d)*(e*x+d)^(7/2)/e^8+2/9*b^6*B*(e*x+d)^(9/2)/e^8,1],
[(B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x,7,(-a*e+b*d)^2*(7*A*b*e-9*B*a*e+2*B*b*d)*sqrt(e*x+d)/b^5+1/3*(-a*e+b*d)*(7*A*b*e-9*B*a*e+2*B*b*d)*(e*x+d)^(3/2)/b^4+1/5*(7*A*b*e-9*B*a*e+2*B*b*d)*(e*x+d)^(5/2)/b^3+2/7*B*(e*x+d)^(7/2)/b^2-(A*b-B*a)*(e*x+d)^(7/2)/b^2/(b*x+a)-(-a*e+b*d)^(5/2)*(7*A*b*e-9*B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(11/2),1],
[(B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x,7,(-a*e+b*d)*(5*A*b*e-7*B*a*e+2*B*b*d)*sqrt(e*x+d)/b^4+1/3*(5*A*b*e-7*B*a*e+2*B*b*d)*(e*x+d)^(3/2)/b^3+2/5*B*(e*x+d)^(5/2)/b^2-(A*b-B*a)*(e*x+d)^(5/2)/b^2/(b*x+a)-(-a*e+b*d)^(3/2)*(5*A*b*e-7*B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2),1],
[(B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x,6,(3*A*b*e-5*B*a*e+2*B*b*d)*sqrt(e*x+d)/b^3+2/3*B*(e*x+d)^(3/2)/b^2-(A*b-B*a)*(e*x+d)^(3/2)/b^2/(b*x+a)-sqrt(-a*e+b*d)*(3*A*b*e-5*B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2),1],
[(B*x+A)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,5,2*B*sqrt(e*x+d)/b^2-(A*b-B*a)*sqrt(e*x+d)/b^2/(b*x+a)-(A*b*e-3*B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/sqrt(-a*e+b*d),1],
[(B*x+A)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x,4,-(A*b-B*a)*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)-(-A*b*e-B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(3/2),1],
[(B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x,5,2*(-A*e+B*d)/(-a*e+b*d)^2/sqrt(e*x+d)-(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)-(-3*A*b*e+B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(5/2),1],
[(B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x,6,2/3*(-A*e+B*d)/(-a*e+b*d)^2/(e*x+d)^(3/2)+2*(-2*A*b*e+B*a*e+B*b*d)/(-a*e+b*d)^3/sqrt(e*x+d)-b*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)-sqrt(b)*(-5*A*b*e+3*B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(7/2),1],
[(B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x,7,2/5*(-A*e+B*d)/(-a*e+b*d)^2/(e*x+d)^(5/2)+2/3*(-2*A*b*e+B*a*e+B*b*d)/(-a*e+b*d)^3/(e*x+d)^(3/2)+2*b*(-3*A*b*e+2*B*a*e+B*b*d)/(-a*e+b*d)^4/sqrt(e*x+d)-b^2*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)-b^(3/2)*(-7*A*b*e+5*B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(9/2),1],
[(B*x+A)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,9,21/8*e^2*(-a*e+b*d)*(5*A*b*e-11*B*a*e+6*B*b*d)*sqrt(e*x+d)/b^6+7/8*e^2*(5*A*b*e-11*B*a*e+6*B*b*d)*(e*x+d)^(3/2)/b^5+2/5*B*e^2*(e*x+d)^(5/2)/b^4-1/8*e*(21*A*b*e-43*B*a*e+22*B*b*d)*(e*x+d)^(5/2)/b^4/(b*x+a)-1/4*(3*A*b*e-5*B*a*e+2*B*b*d)*(e*x+d)^(7/2)/b^3/(b*x+a)^2-1/3*(A*b-B*a)*(e*x+d)^(9/2)/b^2/(b*x+a)^3-21/8*e^2*(-a*e+b*d)^(3/2)*(5*A*b*e-11*B*a*e+6*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(13/2),1],
[(B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,8,35/8*e^2*(A*b*e-3*B*a*e+2*B*b*d)*sqrt(e*x+d)/b^5+2/3*B*e^2*(e*x+d)^(3/2)/b^4-1/24*e*(35*A*b*e-89*B*a*e+54*B*b*d)*(e*x+d)^(3/2)/b^4/(b*x+a)-1/12*(7*A*b*e-13*B*a*e+6*B*b*d)*(e*x+d)^(5/2)/b^3/(b*x+a)^2-1/3*(A*b-B*a)*(e*x+d)^(7/2)/b^2/(b*x+a)^3-35/8*e^2*sqrt(-a*e+b*d)*(A*b*e-3*B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(11/2),1],
[(B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,7,2*B*e^2*sqrt(e*x+d)/b^4-1/8*e*(5*A*b*e-19*B*a*e+14*B*b*d)*sqrt(e*x+d)/b^4/(b*x+a)-1/12*(5*A*b*e-11*B*a*e+6*B*b*d)*(e*x+d)^(3/2)/b^3/(b*x+a)^2-1/3*(A*b-B*a)*(e*x+d)^(5/2)/b^2/(b*x+a)^3-5/8*e^2*(A*b*e-7*B*a*e+6*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/sqrt(-a*e+b*d),1],
[(B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,6,-1/4*(A*b*e-3*B*a*e+2*B*b*d)*sqrt(e*x+d)/b^3/(b*x+a)^2-1/8*e*(A*b*e-11*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^3/(-a*e+b*d)/(b*x+a)-1/3*(A*b-B*a)*(e*x+d)^(3/2)/b^2/(b*x+a)^3-1/8*e^2*(-A*b*e-5*B*a*e+6*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/(-a*e+b*d)^(3/2),1],
[(B*x+A)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,6,-1/3*(A*b-B*a)*sqrt(e*x+d)/b^2/(b*x+a)^3-1/12*(A*b*e-7*B*a*e+6*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)/(b*x+a)^2-1/8*e*(-A*b*e-B*a*e+2*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)^2/(b*x+a)+1/8*e^2*(-A*b*e-B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/(-a*e+b*d)^(5/2),1],
[(B*x+A)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x,6,-1/3*(A*b-B*a)*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)^3-1/12*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^2/(b*x+a)^2+1/8*e*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^3/(b*x+a)-1/8*e^2*(-5*A*b*e-B*a*e+6*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(7/2),1],
[(B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,7,2*e^2*(-A*e+B*d)/(-a*e+b*d)^4/sqrt(e*x+d)-1/3*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)^3-1/12*(-11*A*b*e+5*B*a*e+6*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)^2+1/8*e*(-19*A*b*e+5*B*a*e+14*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)-5/8*e^2*(-7*A*b*e+B*a*e+6*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(9/2),1],
[(B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,8,2/3*e^2*(-A*e+B*d)/(-a*e+b*d)^4/(e*x+d)^(3/2)+2*e^2*(-4*A*b*e+B*a*e+3*B*b*d)/(-a*e+b*d)^5/sqrt(e*x+d)-1/3*b*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)^3-1/12*b*(-17*A*b*e+11*B*a*e+6*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)^2+1/8*b*e*(-41*A*b*e+19*B*a*e+22*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/(b*x+a)-35/8*sqrt(b)*e^2*(-3*A*b*e+B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(11/2),1],
[(B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x,9,2/5*e^2*(-A*e+B*d)/(-a*e+b*d)^4/(e*x+d)^(5/2)+2/3*e^2*(-4*A*b*e+B*a*e+3*B*b*d)/(-a*e+b*d)^5/(e*x+d)^(3/2)+4*b*e^2*(-5*A*b*e+2*B*a*e+3*B*b*d)/(-a*e+b*d)^6/sqrt(e*x+d)-1/3*b^2*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)^3-1/12*b^2*(-23*A*b*e+17*B*a*e+6*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/(b*x+a)^2+1/8*b^2*e*(-71*A*b*e+41*B*a*e+30*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^6/(b*x+a)-21/8*b^(3/2)*e^2*(-11*A*b*e+5*B*a*e+6*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(13/2),1],
[(B*x+A)*(e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,10,231/128*e^4*(3*A*b*e-13*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^7+2/3*B*e^4*(e*x+d)^(3/2)/b^6-1/384*e^3*(693*A*b*e-2747*B*a*e+2054*B*b*d)*(e*x+d)^(3/2)/b^6/(b*x+a)-1/960*e^2*(693*A*b*e-2363*B*a*e+1670*B*b*d)*(e*x+d)^(5/2)/b^5/(b*x+a)^2-1/240*e*(99*A*b*e-269*B*a*e+170*B*b*d)*(e*x+d)^(7/2)/b^4/(b*x+a)^3-1/40*(11*A*b*e-21*B*a*e+10*B*b*d)*(e*x+d)^(9/2)/b^3/(b*x+a)^4-1/5*(A*b-B*a)*(e*x+d)^(11/2)/b^2/(b*x+a)^5-231/128*e^4*sqrt(-a*e+b*d)*(3*A*b*e-13*B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(15/2),1],
[(B*x+A)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,9,2*B*e^4*sqrt(e*x+d)/b^6-1/128*e^3*(63*A*b*e-437*B*a*e+374*B*b*d)*sqrt(e*x+d)/b^6/(b*x+a)-1/64*e^2*(21*A*b*e-103*B*a*e+82*B*b*d)*(e*x+d)^(3/2)/b^5/(b*x+a)^2-1/80*e*(21*A*b*e-71*B*a*e+50*B*b*d)*(e*x+d)^(5/2)/b^4/(b*x+a)^3-1/40*(9*A*b*e-19*B*a*e+10*B*b*d)*(e*x+d)^(7/2)/b^3/(b*x+a)^4-1/5*(A*b-B*a)*(e*x+d)^(9/2)/b^2/(b*x+a)^5-63/128*e^4*(A*b*e-11*B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(13/2)/sqrt(-a*e+b*d),1],
[(B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/64*e^2*(7*A*b*e-65*B*a*e+58*B*b*d)*sqrt(e*x+d)/b^5/(b*x+a)^2-1/128*e^3*(7*A*b*e-193*B*a*e+186*B*b*d)*sqrt(e*x+d)/b^5/(-a*e+b*d)/(b*x+a)-1/48*e*(7*A*b*e-33*B*a*e+26*B*b*d)*(e*x+d)^(3/2)/b^4/(b*x+a)^3-1/40*(7*A*b*e-17*B*a*e+10*B*b*d)*(e*x+d)^(5/2)/b^3/(b*x+a)^4-1/5*(A*b-B*a)*(e*x+d)^(7/2)/b^2/(b*x+a)^5-7/128*e^4*(-A*b*e-9*B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(11/2)/(-a*e+b*d)^(3/2),1],
[(B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/48*e*(3*A*b*e-25*B*a*e+22*B*b*d)*sqrt(e*x+d)/b^4/(b*x+a)^3-1/192*e^2*(3*A*b*e-121*B*a*e+118*B*b*d)*sqrt(e*x+d)/b^4/(-a*e+b*d)/(b*x+a)^2-1/128*e^3*(-3*A*b*e-7*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^4/(-a*e+b*d)^2/(b*x+a)-1/8*(A*b*e-3*B*a*e+2*B*b*d)*(e*x+d)^(3/2)/b^3/(b*x+a)^4-1/5*(A*b-B*a)*(e*x+d)^(5/2)/b^2/(b*x+a)^5+1/128*e^4*(-3*A*b*e-7*B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/(-a*e+b*d)^(5/2),1],
[(B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/40*(3*A*b*e-13*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^3/(b*x+a)^4-1/80*e*(A*b*e-31*B*a*e+30*B*b*d)*sqrt(e*x+d)/b^3/(-a*e+b*d)/(b*x+a)^3-1/64*e^2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(e*x+d)/b^3/(-a*e+b*d)^2/(b*x+a)^2+3/128*e^3*(-A*b*e-B*a*e+2*B*b*d)*sqrt(e*x+d)/b^3/(-a*e+b*d)^3/(b*x+a)-1/5*(A*b-B*a)*(e*x+d)^(3/2)/b^2/(b*x+a)^5-3/128*e^4*(-A*b*e-B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/(-a*e+b*d)^(7/2),1],
[(B*x+A)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/5*(A*b-B*a)*sqrt(e*x+d)/b^2/(b*x+a)^5-1/40*(A*b*e-11*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)/(b*x+a)^4-1/240*e*(-7*A*b*e-3*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)^2/(b*x+a)^3+1/192*e^2*(-7*A*b*e-3*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)^3/(b*x+a)^2-1/128*e^3*(-7*A*b*e-3*B*a*e+10*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)^4/(b*x+a)+1/128*e^4*(-7*A*b*e-3*B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/(-a*e+b*d)^(9/2),1],
[(B*x+A)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x,8,-1/5*(A*b-B*a)*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)^5-1/40*(-9*A*b*e-B*a*e+10*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^2/(b*x+a)^4+7/240*e*(-9*A*b*e-B*a*e+10*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^3/(b*x+a)^3-7/192*e^2*(-9*A*b*e-B*a*e+10*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^4/(b*x+a)^2+7/128*e^3*(-9*A*b*e-B*a*e+10*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^5/(b*x+a)-7/128*e^4*(-9*A*b*e-B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(11/2),1],
[(B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,9,2*e^4*(-A*e+B*d)/(-a*e+b*d)^6/sqrt(e*x+d)-1/5*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)^5-1/40*(-19*A*b*e+9*B*a*e+10*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)^4+1/80*e*(-71*A*b*e+21*B*a*e+50*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)^3-1/64*e^2*(-103*A*b*e+21*B*a*e+82*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/(b*x+a)^2+1/128*e^3*(-437*A*b*e+63*B*a*e+374*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^6/(b*x+a)-63/128*e^4*(-11*A*b*e+B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(13/2),1],
[(B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,10,2/3*e^4*(-A*e+B*d)/(-a*e+b*d)^6/(e*x+d)^(3/2)+2*e^4*(-6*A*b*e+B*a*e+5*B*b*d)/(-a*e+b*d)^7/sqrt(e*x+d)-1/5*b*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)^5-1/40*b*(-29*A*b*e+19*B*a*e+10*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)^4+1/240*b*e*(-443*A*b*e+213*B*a*e+230*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/(b*x+a)^3-1/192*b*e^2*(-827*A*b*e+309*B*a*e+518*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^6/(b*x+a)^2+1/128*b*e^3*(-1467*A*b*e+437*B*a*e+1030*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^7/(b*x+a)-231/128*sqrt(b)*e^4*(-13*A*b*e+3*B*a*e+10*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(15/2),1],
[(B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x,11,2/5*e^4*(-A*e+B*d)/(-a*e+b*d)^6/(e*x+d)^(5/2)+2/3*e^4*(-6*A*b*e+B*a*e+5*B*b*d)/(-a*e+b*d)^7/(e*x+d)^(3/2)+6*b*e^4*(-7*A*b*e+2*B*a*e+5*B*b*d)/(-a*e+b*d)^8/sqrt(e*x+d)-1/5*b^2*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)^5-1/40*b^2*(-39*A*b*e+29*B*a*e+10*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/(b*x+a)^4+1/240*b^2*e*(-753*A*b*e+443*B*a*e+310*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^6/(b*x+a)^3-1/192*b^2*e^2*(-1713*A*b*e+827*B*a*e+886*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^7/(b*x+a)^2+3/128*b^2*e^3*(-1211*A*b*e+489*B*a*e+722*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^8/(b*x+a)-3003/128*b^(3/2)*e^4*(-3*A*b*e+B*a*e+2*B*b*d)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(17/2),1],
[(B*x+A)*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/5*(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-1/6*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+1/7*b*B*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/4*(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-1/5*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+1/6*b*B*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/3*(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-1/4*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+1/5*b*B*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,a*A*d*x*sqrt(b^2*x^2+2*a*b*x+a^2)/(b*x+a)+(A*a*e+A*b*d+B*a*d)*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)/(2*b*x+2*a)+(A*b*e+B*a*e+B*b*d)*x^3*sqrt(b^2*x^2+2*a*b*x+a^2)/(3*b*x+3*a)+b*B*e*x^4*sqrt(b^2*x^2+2*a*b*x+a^2)/(4*b*x+4*a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,1/2*(A*b-B*a)*(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/b^2+1/3*B*(b^2*x^2+2*a*b*x+a^2)^(3/2)/b^2,1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x,3,-b*(-A*e+B*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2/(b*x+a)+1/2*B*(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/b/e+(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x,3,b*B*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2/(b*x+a)-(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)-(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x,3,-1/2*(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^2+(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)+b*B*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x,2,1/2*(A*b-B*a)*(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/(-a*e+b*d)^2/(e*x+d)^2+1/3*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)^2/(e*x+d)^3,1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^5,x,3,-1/4*(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^4+1/3*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^3-1/2*b*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^2,1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^6,x,3,-1/5*(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^5+1/4*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^4-1/3*b*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^3,1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^7,x,3,-1/6*(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^6+1/5*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^5-1/4*b*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^4,1],
[(B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/6*(-a*e+b*d)^3*(-A*e+B*d)*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-1/7*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+3/8*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-1/9*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+1/10*b^3*B*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/5*(-a*e+b*d)^3*(-A*e+B*d)*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-1/6*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+3/7*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-1/8*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+1/9*b^3*B*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/4*(A*b-B*a)*(-a*e+b*d)^3*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/5*(-a*e+b*d)^2*(3*A*b*e-4*B*a*e+B*b*d)*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/2*e*(-a*e+b*d)*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/7*e^2*(A*b*e-4*B*a*e+3*B*b*d)*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/8*B*e^3*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5,1],
[(B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/4*(A*b-B*a)*(-a*e+b*d)^2*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/5*(-a*e+b*d)*(2*A*b*e-3*B*a*e+B*b*d)*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/6*e*(A*b*e-3*B*a*e+2*B*b*d)*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/7*B*e^2*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4,1],
[(B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/4*(A*b-B*a)*(-a*e+b*d)*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/5*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/6*B*e*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,1/4*(A*b-B*a)*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/b^2+1/5*B*(b^2*x^2+2*a*b*x+a^2)^(5/2)/b^2,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d),x,3,-b*(-a*e+b*d)^2*(-A*e+B*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)+1/2*(-a*e+b*d)*(-A*e+B*d)*(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3-1/3*(-A*e+B*d)*(b*x+a)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2+1/4*B*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/b/e+(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^2,x,3,3*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)-(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)-1/2*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+1/3*b^3*B*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^3,x,3,-b^2*(-A*b*e-3*B*a*e+3*B*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)+1/2*b^3*B*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-1/2*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^2+(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)+3*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^4,x,3,b^3*B*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4/(b*x+a)-1/3*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^3+1/2*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^2-3*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)-b^2*(-A*b*e-3*B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^5,x,4,-1/4*(-A*e+B*d)*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e/(-a*e+b*d)/(e*x+d)^4+1/3*B*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^3-3/2*b*B*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^2+3*b^2*B*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)+b^3*B*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^6,x,2,1/4*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)^2/(e*x+d)^4+1/5*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^7,x,3,1/4*b*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)^3/(e*x+d)^4+1/6*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^6+1/30*(-7*A*b*e+6*B*a*e+B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^3/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^8,x,4,1/4*b^2*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(-a*e+b*d)^4/(e*x+d)^4+1/7*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^7+1/42*(-9*A*b*e+7*B*a*e+2*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^3/(e*x+d)^6+1/210*b*(-51*A*b*e+49*B*a*e+2*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^4/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^9,x,3,-1/8*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^8+1/7*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^7-1/2*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^6+1/5*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^5-1/4*b^3*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^4,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^10,x,3,-1/9*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^9+1/8*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^8-3/7*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^7+1/6*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^6-1/5*b^3*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^5,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^11,x,3,-1/10*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^10+1/9*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^9-3/8*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^8+1/7*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^7-1/6*b^3*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^12,x,3,-1/11*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^11+1/10*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^10-1/3*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^9+1/8*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^8-1/7*b^3*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^7,1],
[(B*x+A)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/7*(-a*e+b*d)^5*(-A*e+B*d)*(e*x+d)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-1/8*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*(e*x+d)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+5/9*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+5/11*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-1/12*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^12*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/13*b^5*B*(e*x+d)^13*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/6*(A*b-B*a)*(-a*e+b*d)^5*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+1/7*(-a*e+b*d)^4*(5*A*b*e-6*B*a*e+B*b*d)*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+5/8*e*(-a*e+b*d)^3*(2*A*b*e-3*B*a*e+B*b*d)*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+10/9*e^2*(-a*e+b*d)^2*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+1/2*e^3*(-a*e+b*d)*(A*b*e-3*B*a*e+2*B*b*d)*(b*x+a)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+1/11*e^4*(A*b*e-6*B*a*e+5*B*b*d)*(b*x+a)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7+1/12*B*e^5*(b*x+a)^11*sqrt(b^2*x^2+2*a*b*x+a^2)/b^7,1],
[(B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/6*(A*b-B*a)*(-a*e+b*d)^4*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+1/7*(-a*e+b*d)^3*(4*A*b*e-5*B*a*e+B*b*d)*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+1/4*e*(-a*e+b*d)^2*(3*A*b*e-5*B*a*e+2*B*b*d)*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+2/9*e^2*(-a*e+b*d)*(2*A*b*e-5*B*a*e+3*B*b*d)*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+1/10*e^3*(A*b*e-5*B*a*e+4*B*b*d)*(b*x+a)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6+1/11*B*e^4*(b*x+a)^10*sqrt(b^2*x^2+2*a*b*x+a^2)/b^6,1],
[(B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/6*(A*b-B*a)*(-a*e+b*d)^3*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/7*(-a*e+b*d)^2*(3*A*b*e-4*B*a*e+B*b*d)*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+3/8*e*(-a*e+b*d)*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/9*e^2*(A*b*e-4*B*a*e+3*B*b*d)*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5+1/10*B*e^3*(b*x+a)^9*sqrt(b^2*x^2+2*a*b*x+a^2)/b^5,1],
[(B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/6*(A*b-B*a)*(-a*e+b*d)^2*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/7*(-a*e+b*d)*(2*A*b*e-3*B*a*e+B*b*d)*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/8*e*(A*b*e-3*B*a*e+2*B*b*d)*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4+1/9*B*e^2*(b*x+a)^8*sqrt(b^2*x^2+2*a*b*x+a^2)/b^4,1],
[(B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/6*(A*b-B*a)*(-a*e+b*d)*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/7*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)^6*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3+1/8*B*e*(b*x+a)^7*sqrt(b^2*x^2+2*a*b*x+a^2)/b^3,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,1/6*(A*b-B*a)*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b^2+1/7*B*(b^2*x^2+2*a*b*x+a^2)^(7/2)/b^2,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d),x,3,-b*(-a*e+b*d)^4*(-A*e+B*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)+1/2*(-a*e+b*d)^3*(-A*e+B*d)*(b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5-1/3*(-a*e+b*d)^2*(-A*e+B*d)*(b*x+a)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^4+1/4*(-a*e+b*d)*(-A*e+B*d)*(b*x+a)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3-1/5*(-A*e+B*d)*(b*x+a)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^2+1/6*B*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/b/e+(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^2,x,3,5*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)-5*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+5/3*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-1/4*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/5*b^5*B*(e*x+d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^3,x,3,-10*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-1/2*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2+(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)+5/2*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-1/3*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/4*b^5*B*(e*x+d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+5*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^4,x,3,5*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-1/3*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3+1/2*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2-5*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)-1/2*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+1/3*b^5*B*(e*x+d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-10*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^5,x,3,-b^4*(-A*b*e-5*B*a*e+5*B*b*d)*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)+1/2*b^5*B*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-1/4*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^4+1/3*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3-5/2*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2+10*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)+5*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^6,x,3,b^5*B*x*sqrt(b^2*x^2+2*a*b*x+a^2)/e^6/(b*x+a)-1/5*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^5+1/4*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^4-5/3*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3+5*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2-5*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)-b^4*(-A*b*e-5*B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^7,x,4,-1/6*(-A*e+B*d)*(b*x+a)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e/(-a*e+b*d)/(e*x+d)^6+1/5*B*(-a*e+b*d)^5*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^5-5/4*b*B*(-a*e+b*d)^4*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^4+10/3*b^2*B*(-a*e+b*d)^3*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^3-5*b^3*B*(-a*e+b*d)^2*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^2+5*b^4*B*(-a*e+b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)+b^5*B*sqrt(b^2*x^2+2*a*b*x+a^2)*ln(e*x+d)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^8,x,2,1/6*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^2/(e*x+d)^6+1/7*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^7,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^9,x,3,1/6*b*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^3/(e*x+d)^6+1/8*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^8+1/56*(-9*A*b*e+8*B*a*e+B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^7,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^10,x,4,1/6*b^2*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^4/(e*x+d)^6+1/9*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^9+1/72*(-11*A*b*e+9*B*a*e+2*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^8+1/504*b*(-83*A*b*e+81*B*a*e+2*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^4/(e*x+d)^7,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^11,x,5,1/6*b^3*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^5/(e*x+d)^6+1/10*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^10+1/90*(-13*A*b*e+10*B*a*e+3*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^9+1/360*b*(-58*A*b*e+55*B*a*e+3*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^4/(e*x+d)^8+1/2520*b^2*(-418*A*b*e+415*B*a*e+3*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^5/(e*x+d)^7,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^12,x,6,1/6*b^4*(A*b-B*a)*(b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(-a*e+b*d)^6/(e*x+d)^6+1/11*(-A*e+B*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^2/(e*x+d)^11+1/110*(-15*A*b*e+11*B*a*e+4*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^3/(e*x+d)^10+1/990*b*(-155*A*b*e+143*B*a*e+12*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^4/(e*x+d)^9+1/1980*b^2*(-325*A*b*e+319*B*a*e+6*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^5/(e*x+d)^8+1/13860*b^3*(-2305*A*b*e+2299*B*a*e+6*B*b*d)*(b^2*x^2+2*a*b*x+a^2)^(7/2)/(-a*e+b*d)^6/(e*x+d)^7,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^13,x,3,-1/12*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^12+1/11*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^11-1/2*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^10+10/9*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^9-5/8*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^8+1/7*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^7-1/6*b^5*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^6,1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^14,x,3,-1/13*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^13+1/12*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^12-5/11*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^11+b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^10-5/9*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^9+1/8*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^8-1/7*b^5*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^7,1],
[(B*x+A)*(e*x+d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,(A*b-B*a)*e*(-a*e+b*d)^2*x*(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*(A*b-B*a)*(-a*e+b*d)*(b*x+a)*(e*x+d)^2/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+1/3*(A*b-B*a)*(b*x+a)*(e*x+d)^3/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/4*B*(b*x+a)*(e*x+d)^4/b/e/sqrt(b^2*x^2+2*a*b*x+a^2)+(A*b-B*a)*(-a*e+b*d)^3*(b*x+a)*ln(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,(A*b-B*a)*e*(-a*e+b*d)*x*(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*(A*b-B*a)*(b*x+a)*(e*x+d)^2/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/3*B*(b*x+a)*(e*x+d)^3/b/e/sqrt(b^2*x^2+2*a*b*x+a^2)+(A*b-B*a)*(-a*e+b*d)^2*(b*x+a)*ln(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,B*(-a*e+b*d)*x*(b*x+a)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*e*(b*x+a)*(B*x+A)^2/b/B/sqrt(b^2*x^2+2*a*b*x+a^2)+(A*b-B*a)*(-a*e+b*d)*(b*x+a)*ln(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,B*sqrt(b^2*x^2+2*a*b*x+a^2)/b^2+(A*b-B*a)*(b*x+a)*ln(b*x+a)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,(A*b-B*a)*(b*x+a)*ln(b*x+a)/b/(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2)+(-A*e+B*d)*(b*x+a)*ln(e*x+d)/e/(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2),x,2,(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/(-a*e+b*d)^2/(e*x+d)+(A*b-B*a)*(b*x+a)*ln(b*(b*x+a)/(e*x+d))/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,-1/2*(-A*e+B*d)*(b*x+a)/e/(-a*e+b*d)/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+(A*b-B*a)*(b*x+a)/(-a*e+b*d)^2/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+b*(A*b-B*a)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-b*(A*b-B*a)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,-1/3*(-A*e+B*d)*(b*x+a)/e/(-a*e+b*d)/(e*x+d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*(A*b-B*a)*(b*x+a)/(-a*e+b*d)^2/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+b*(A*b-B*a)*(b*x+a)/(-a*e+b*d)^3/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)+b^2*(A*b-B*a)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)-b^2*(A*b-B*a)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-a*e+b*d)^3*(4*A*b*e-5*B*a*e+B*b*d)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*(-a*e+b*d)^4/b^6/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+e^2*(6*a^2*B*e^2-3*a*b*e*(A*e+4*B*d)+2*b^2*d*(2*A*e+3*B*d))*x*(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*e^3*(A*b*e-3*B*a*e+4*B*b*d)*x^2*(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+1/3*B*e^4*x^3*(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+2*e*(-a*e+b*d)^2*(3*A*b*e-5*B*a*e+2*B*b*d)*(b*x+a)*ln(b*x+a)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-a*e+b*d)^2*(3*A*b*e-4*B*a*e+B*b*d)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*(-a*e+b*d)^3/b^5/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+e^2*(A*b*e-3*B*a*e+3*B*b*d)*x*(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*B*e^3*x^2*(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+3*e*(-a*e+b*d)*(A*b*e-2*B*a*e+B*b*d)*(b*x+a)*ln(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-a*e+b*d)*(2*A*b*e-3*B*a*e+B*b*d)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*(-a*e+b*d)^2/b^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+B*e^2*x*(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+e*(A*b*e-3*B*a*e+2*B*b*d)*(b*x+a)*ln(b*x+a)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(A*b*e-2*B*a*e+B*b*d)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*(-a*e+b*d)/b^3/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+B*e*(b*x+a)*ln(b*x+a)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-B/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-A*e+B*d)/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)/b/(-a*e+b*d)/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(-A*e+B*d)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)+e*(-A*e+B*d)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-(-2*A*b*e+B*a*e+B*b*d)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)/(-a*e+b*d)^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^3/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)+e*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-b*(-3*A*b*e+2*B*a*e+B*b*d)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*b*(A*b-B*a)/(-a*e+b*d)^3/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*e*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^3/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)/(-a*e+b*d)^4/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-3*b*e*(-2*A*b*e+B*a*e+B*b*d)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2)+3*b*e*(-2*A*b*e+B*a*e+B*b*d)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-10*e^2*(-a*e+b*d)^2*(A*b*e-2*B*a*e+B*b*d)/b^7/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(-a*e+b*d)^5/b^7/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(-a*e+b*d)^4*(5*A*b*e-6*B*a*e+B*b*d)/b^7/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-5/2*e*(-a*e+b*d)^3*(2*A*b*e-3*B*a*e+B*b*d)/b^7/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+e^4*(A*b*e-5*B*a*e+5*B*b*d)*x*(b*x+a)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*B*e^5*x^2*(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+5*e^3*(-a*e+b*d)*(A*b*e-3*B*a*e+2*B*b*d)*(b*x+a)*ln(b*x+a)/b^7/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-2*e^2*(-a*e+b*d)*(2*A*b*e-5*B*a*e+3*B*b*d)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(-a*e+b*d)^4/b^6/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(-a*e+b*d)^3*(4*A*b*e-5*B*a*e+B*b*d)/b^6/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-e*(-a*e+b*d)^2*(3*A*b*e-5*B*a*e+2*B*b*d)/b^6/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+B*e^4*x*(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+e^3*(A*b*e-5*B*a*e+4*B*b*d)*(b*x+a)*ln(b*x+a)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,4,-3*B*e^2*(-a*e+b*d)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*B*(-a*e+b*d)^3/b^5/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-3/2*B*e*(-a*e+b*d)^2/b^5/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(e*x+d)^4/b/(-a*e+b*d)/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)+B*e^3*(b*x+a)*ln(b*x+a)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,2,-1/4*(A*b-B*a)*(b*x+a)*(e*x+d)^4/(-a*e+b*d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2)-1/3*(-A*e+B*d)*(e*x+d)^3/(-a*e+b*d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),1],
[(B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-1/4*(A*b-B*a)*(-a*e+b*d)/b^3/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(A*b*e-2*B*a*e+B*b*d)/b^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*B*e/b^3/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-1/3*B/b^2/(b^2*x^2+2*a*b*x+a^2)^(3/2)-1/4*(A*b-B*a)/b^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-e^2*(-A*e+B*d)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)/b/(-a*e+b*d)/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(-A*e+B*d)/(-a*e+b*d)^2/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*e*(-A*e+B*d)/(-a*e+b*d)^3/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-e^3*(-A*e+B*d)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2)+e^3*(-A*e+B*d)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-e^2*(-4*A*b*e+B*a*e+3*B*b*d)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)/(-a*e+b*d)^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*(-2*A*b*e+B*a*e+B*b*d)/(-a*e+b*d)^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/2*e*(-3*A*b*e+B*a*e+2*B*b*d)/(-a*e+b*d)^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-e^3*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^5/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-e^3*(-5*A*b*e+B*a*e+4*B*b*d)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^6/sqrt(b^2*x^2+2*a*b*x+a^2)+e^3*(-5*A*b*e+B*a*e+4*B*b*d)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^6/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,-2*b*e^2*(-5*A*b*e+2*B*a*e+3*B*b*d)/(-a*e+b*d)^6/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*b*(A*b-B*a)/(-a*e+b*d)^3/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/3*b*(-3*A*b*e+2*B*a*e+B*b*d)/(-a*e+b*d)^4/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+3/2*b*e*(-2*A*b*e+B*a*e+B*b*d)/(-a*e+b*d)^5/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*e^3*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^5/(e*x+d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-e^3*(-5*A*b*e+B*a*e+4*B*b*d)*(b*x+a)/(-a*e+b*d)^6/(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-5*b*e^3*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)*ln(b*x+a)/(-a*e+b*d)^7/sqrt(b^2*x^2+2*a*b*x+a^2)+5*b*e^3*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)*ln(e*x+d)/(-a*e+b*d)^7/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/9*(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-2/11*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/13*b*B*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/7*(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-2/9*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/11*b*B*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/5*(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-2/7*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/9*b*B*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,2/3*(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-2/5*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/7*b*B*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/sqrt(e*x+d),x,3,2*(-a*e+b*d)*(-A*e+B*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)-2/3*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/5*b*B*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x,3,-2*(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/sqrt(e*x+d)-2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)+2/3*b*B*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x,3,-2/3*(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^(3/2)+2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/sqrt(e*x+d)+2*b*B*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a),1],
[(B*x+A)*sqrt(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x,3,-2/5*(-a*e+b*d)*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^(5/2)+2/3*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/(e*x+d)^(3/2)-2*b*B*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(b*x+a)/sqrt(e*x+d),1],
[(B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,2/9*(-a*e+b*d)^3*(-A*e+B*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/11*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+6/13*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/15*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/17*b^3*B*(e*x+d)^(17/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,2/7*(-a*e+b*d)^3*(-A*e+B*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/9*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+6/11*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/13*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/15*b^3*B*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,2/5*(-a*e+b*d)^3*(-A*e+B*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/7*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/3*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/11*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/13*b^3*B*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,2/3*(-a*e+b*d)^3*(-A*e+B*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/5*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+6/7*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/9*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/11*b^3*B*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/sqrt(e*x+d),x,3,2*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/3*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+6/5*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/7*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/9*b^3*B*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(3/2),x,3,-2*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d)-2*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/5*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/7*b^3*B*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(5/2),x,3,-2/3*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(3/2)+2*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d)+6*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)-2/3*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/5*b^3*B*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(7/2),x,3,-2/5*(-a*e+b*d)^3*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(5/2)+2/3*(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/(e*x+d)^(3/2)-6*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)/sqrt(e*x+d)-2*b^2*(-A*b*e-3*B*a*e+4*B*b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a)+2/3*b^3*B*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(b*x+a),1],
[(B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,2/9*(-a*e+b*d)^5*(-A*e+B*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/11*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/13*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-4/3*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/17*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(17/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/19*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(19/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/21*b^5*B*(e*x+d)^(21/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,2/7*(-a*e+b*d)^5*(-A*e+B*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/9*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/11*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20/13*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/3*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/17*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(17/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/19*b^5*B*(e*x+d)^(19/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,2/5*(-a*e+b*d)^5*(-A*e+B*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/7*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/9*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20/11*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/13*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/15*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/17*b^5*B*(e*x+d)^(17/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*sqrt(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,2/3*(-a*e+b*d)^5*(-A*e+B*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/5*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/7*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20/9*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/11*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/13*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/15*b^5*B*(e*x+d)^(15/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/sqrt(e*x+d),x,3,2*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/3*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20/7*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/9*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/11*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/13*b^5*B*(e*x+d)^(13/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(3/2),x,3,-2*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)-2*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/3*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-4*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/7*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/9*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/11*b^5*B*(e*x+d)^(11/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(5/2),x,3,-2/3*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)+2*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)+10*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-20/3*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/7*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/9*b^5*B*(e*x+d)^(9/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(7/2),x,3,-2/5*(-a*e+b*d)^5*(-A*e+B*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(5/2)+2/3*(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/(e*x+d)^(3/2)-10*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)/sqrt(e*x+d)-20*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*sqrt(e*x+d)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+10/3*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(3/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)-2/5*b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(5/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a)+2/7*b^5*B*(e*x+d)^(7/2)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(b*x+a),1],
[(B*x+A)*(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,6,2*(A*b-B*a)*(-a*e+b*d)^2*(b*x+a)*sqrt(e*x+d)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)+2/3*(A*b-B*a)*(-a*e+b*d)*(b*x+a)*(e*x+d)^(3/2)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+2/5*(A*b-B*a)*(b*x+a)*(e*x+d)^(5/2)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+2/7*B*(b*x+a)*(e*x+d)^(7/2)/b/e/sqrt(b^2*x^2+2*a*b*x+a^2)-2*(A*b-B*a)*(-a*e+b*d)^(5/2)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,6,2*(A*b-B*a)*(-a*e+b*d)*(b*x+a)*sqrt(e*x+d)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+2/3*(A*b-B*a)*(b*x+a)*(e*x+d)^(3/2)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+2/5*B*(b*x+a)*(e*x+d)^(5/2)/b/e/sqrt(b^2*x^2+2*a*b*x+a^2)-2*(A*b-B*a)*(-a*e+b*d)^(3/2)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,5,2*(A*b-B*a)*(b*x+a)*sqrt(e*x+d)/b^2/sqrt(b^2*x^2+2*a*b*x+a^2)+2/3*B*(b*x+a)*(e*x+d)^(3/2)/b/e/sqrt(b^2*x^2+2*a*b*x+a^2)-2*(A*b-B*a)*sqrt(-a*e+b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2),x,4,2*B*(b*x+a)*sqrt(e*x+d)/b/e/sqrt(b^2*x^2+2*a*b*x+a^2)-2*(A*b-B*a)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/sqrt(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,4,-2*(-A*e+B*d)*(b*x+a)/e/(-a*e+b*d)/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-2*(A*b-B*a)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,5,-2/3*(-A*e+B*d)*(b*x+a)/e/(-a*e+b*d)/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)+2*(A*b-B*a)*(b*x+a)/(-a*e+b*d)^2/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-2*sqrt(b)*(A*b-B*a)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),x,6,-2/5*(-A*e+B*d)*(b*x+a)/e/(-a*e+b*d)/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)+2/3*(A*b-B*a)*(b*x+a)/(-a*e+b*d)^2/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)+2*b*(A*b-B*a)*(b*x+a)/(-a*e+b*d)^3/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-2*b^(3/2)*(A*b-B*a)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,8,7/4*e*(-a*e+b*d)*(5*A*b*e-9*B*a*e+4*B*b*d)*(b*x+a)*sqrt(e*x+d)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+7/12*e*(5*A*b*e-9*B*a*e+4*B*b*d)*(b*x+a)*(e*x+d)^(3/2)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(7*A*b*e-11*B*a*e+4*B*b*d)*(e*x+d)^(5/2)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+2/5*B*e*(b*x+a)*(e*x+d)^(5/2)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*(e*x+d)^(7/2)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-7/4*e*(-a*e+b*d)^(3/2)*(5*A*b*e-9*B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(11/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,7,5/4*e*(3*A*b*e-7*B*a*e+4*B*b*d)*(b*x+a)*sqrt(e*x+d)/b^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(5*A*b*e-9*B*a*e+4*B*b*d)*(e*x+d)^(3/2)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+2/3*B*e*(b*x+a)*(e*x+d)^(3/2)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*(e*x+d)^(5/2)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-5/4*e*sqrt(-a*e+b*d)*(3*A*b*e-7*B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,6,-1/4*(3*A*b*e-7*B*a*e+4*B*b*d)*sqrt(e*x+d)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)+2*B*e*(b*x+a)*sqrt(e*x+d)/b^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*(e*x+d)^(3/2)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-3/4*e*(A*b*e-5*B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/sqrt(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,5,-1/4*(A*b*e-5*B*a*e+4*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*sqrt(e*x+d)/b^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*e*(-A*b*e-3*B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/(-a*e+b*d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,5,-1/4*(-3*A*b*e-B*a*e+4*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+1/4*e*(-3*A*b*e-B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,6,-2*e*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^3/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(-7*A*b*e+3*B*a*e+4*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+3/4*e*(-5*A*b*e+B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,7,-2/3*e*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^3/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-2*e*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)/(-a*e+b*d)^4/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*b*(-11*A*b*e+7*B*a*e+4*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*b*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+5/4*sqrt(b)*e*(-7*A*b*e+3*B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,8,-2/5*e*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^3/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-2/3*e*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)/(-a*e+b*d)^4/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-6*b*e*(-2*A*b*e+B*a*e+B*b*d)*(b*x+a)/(-a*e+b*d)^5/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*b^2*(-15*A*b*e+11*B*a*e+4*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/2*b^2*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+7/4*b^(3/2)*e*(-9*A*b*e+5*B*a*e+4*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(11/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,10,231/64*e^3*(-a*e+b*d)*(5*A*b*e-13*B*a*e+8*B*b*d)*(b*x+a)*sqrt(e*x+d)/b^7/sqrt(b^2*x^2+2*a*b*x+a^2)+77/64*e^3*(5*A*b*e-13*B*a*e+8*B*b*d)*(b*x+a)*(e*x+d)^(3/2)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2)-1/64*e^2*(231*A*b*e-575*B*a*e+344*B*b*d)*(e*x+d)^(5/2)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+2/5*B*e^3*(b*x+a)*(e*x+d)^(5/2)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/32*e*(33*A*b*e-73*B*a*e+40*B*b*d)*(e*x+d)^(7/2)/b^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(11*A*b*e-19*B*a*e+8*B*b*d)*(e*x+d)^(9/2)/b^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(e*x+d)^(11/2)/b^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-231/64*e^3*(-a*e+b*d)^(3/2)*(5*A*b*e-13*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(15/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,9,105/64*e^3*(3*A*b*e-11*B*a*e+8*B*b*d)*(b*x+a)*sqrt(e*x+d)/b^6/sqrt(b^2*x^2+2*a*b*x+a^2)-1/192*e^2*(315*A*b*e-1027*B*a*e+712*B*b*d)*(e*x+d)^(3/2)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+2/3*B*e^3*(b*x+a)*(e*x+d)^(3/2)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/96*e*(63*A*b*e-167*B*a*e+104*B*b*d)*(e*x+d)^(5/2)/b^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(9*A*b*e-17*B*a*e+8*B*b*d)*(e*x+d)^(7/2)/b^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(e*x+d)^(9/2)/b^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-105/64*e^3*sqrt(-a*e+b*d)*(3*A*b*e-11*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(13/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,8,-1/64*e^2*(35*A*b*e-187*B*a*e+152*B*b*d)*sqrt(e*x+d)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)+2*B*e^3*(b*x+a)*sqrt(e*x+d)/b^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/96*e*(35*A*b*e-123*B*a*e+88*B*b*d)*(e*x+d)^(3/2)/b^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(7*A*b*e-15*B*a*e+8*B*b*d)*(e*x+d)^(5/2)/b^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(e*x+d)^(7/2)/b^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-35/64*e^3*(A*b*e-9*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(11/2)/sqrt(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,7,-1/64*e^2*(5*A*b*e-93*B*a*e+88*B*b*d)*sqrt(e*x+d)/b^4/(-a*e+b*d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/32*e*(5*A*b*e-29*B*a*e+24*B*b*d)*sqrt(e*x+d)/b^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(5*A*b*e-13*B*a*e+8*B*b*d)*(e*x+d)^(3/2)/b^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(e*x+d)^(5/2)/b^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-5/64*e^3*(-A*b*e-7*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(9/2)/(-a*e+b*d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,7,-1/64*e^2*(-3*A*b*e-5*B*a*e+8*B*b*d)*sqrt(e*x+d)/b^3/(-a*e+b*d)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(3*A*b*e-11*B*a*e+8*B*b*d)*sqrt(e*x+d)/b^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/96*e*(3*A*b*e-59*B*a*e+56*B*b*d)*sqrt(e*x+d)/b^3/(-a*e+b*d)/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*(e*x+d)^(3/2)/b^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)+1/64*e^3*(-3*A*b*e-5*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(7/2)/(-a*e+b*d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,7,1/64*e^2*(-5*A*b*e-3*B*a*e+8*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*sqrt(e*x+d)/b^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(A*b*e-9*B*a*e+8*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)-1/96*e*(-5*A*b*e-3*B*a*e+8*B*b*d)*sqrt(e*x+d)/b^2/(-a*e+b*d)^2/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/64*e^3*(-5*A*b*e-3*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(5/2)/(-a*e+b*d)^(7/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/sqrt(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,7,-5/64*e^2*(-7*A*b*e-B*a*e+8*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^4/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*sqrt(e*x+d)/b/(-a*e+b*d)/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(-7*A*b*e-B*a*e+8*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^2/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+5/96*e*(-7*A*b*e-B*a*e+8*B*b*d)*sqrt(e*x+d)/b/(-a*e+b*d)^3/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+5/64*e^3*(-7*A*b*e-B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/b^(3/2)/(-a*e+b*d)^(9/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,8,-2*e^3*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^5/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/64*e^2*(-187*A*b*e+35*B*a*e+152*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^2/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*(-15*A*b*e+7*B*a*e+8*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/96*e*(-123*A*b*e+35*B*a*e+88*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+35/64*e^3*(-9*A*b*e+B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(11/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,9,-2/3*e^3*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^5/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-2*e^3*(-5*A*b*e+B*a*e+4*B*b*d)*(b*x+a)/(-a*e+b*d)^6/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/64*b*e^2*(-515*A*b*e+187*B*a*e+328*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^6/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*b*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^3/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*b*(-23*A*b*e+15*B*a*e+8*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/96*b*e*(-259*A*b*e+123*B*a*e+136*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+105/64*sqrt(b)*e^3*(-11*A*b*e+3*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(13/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x,10,-2/5*e^3*(-A*e+B*d)*(b*x+a)/(-a*e+b*d)^5/(e*x+d)^(5/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-2/3*e^3*(-5*A*b*e+B*a*e+4*B*b*d)*(b*x+a)/(-a*e+b*d)^6/(e*x+d)^(3/2)/sqrt(b^2*x^2+2*a*b*x+a^2)-10*b*e^3*(-3*A*b*e+B*a*e+2*B*b*d)*(b*x+a)/(-a*e+b*d)^7/sqrt(e*x+d)/sqrt(b^2*x^2+2*a*b*x+a^2)-1/64*b^2*e^2*(-1083*A*b*e+515*B*a*e+568*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^7/sqrt(b^2*x^2+2*a*b*x+a^2)-1/4*b^2*(A*b-B*a)*sqrt(e*x+d)/(-a*e+b*d)^4/(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2)-1/24*b^2*(-31*A*b*e+23*B*a*e+8*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^5/(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2)+1/96*b^2*e*(-443*A*b*e+259*B*a*e+184*B*b*d)*sqrt(e*x+d)/(-a*e+b*d)^6/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+231/64*b^(3/2)*e^3*(-13*A*b*e+5*B*a*e+8*B*b*d)*(b*x+a)*arctanh(sqrt(b)*sqrt(e*x+d)/sqrt(-a*e+b*d))/(-a*e+b*d)^(15/2)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^2,x,3,-(-a*e+b*d)^4*(-A*e+B*d)*(e*x+d)^(1+m)/e^6/(1+m)+(-a*e+b*d)^3*(-4*A*b*e-B*a*e+5*B*b*d)*(e*x+d)^(2+m)/e^6/(2+m)-2*b*(-a*e+b*d)^2*(-3*A*b*e-2*B*a*e+5*B*b*d)*(e*x+d)^(3+m)/e^6/(3+m)+2*b^2*(-a*e+b*d)*(-2*A*b*e-3*B*a*e+5*B*b*d)*(e*x+d)^(4+m)/e^6/(4+m)-b^3*(-A*b*e-4*B*a*e+5*B*b*d)*(e*x+d)^(5+m)/e^6/(5+m)+b^4*B*(e*x+d)^(6+m)/e^6/(6+m),1],
[(B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2),x,3,-(-a*e+b*d)^2*(-A*e+B*d)*(e*x+d)^(1+m)/e^4/(1+m)+(-a*e+b*d)*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(2+m)/e^4/(2+m)-b*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(3+m)/e^4/(3+m)+b^2*B*(e*x+d)^(4+m)/e^4/(4+m),1],
[(B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x,3,B*(e*x+d)^(1+m)/b/e/m/(b*x+a)-(a*B*e*(1+m)-b*(A*e*m+B*d))*(e*x+d)^(1+m)*hypergeom([2, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/b/(-a*e+b*d)^2/m/(1+m),1],
[(B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x,3,-B*(e*x+d)^(1+m)/b/e/(2-m)/(b*x+a)^3-e^2*(3*b*B*d-A*b*e*(2-m)-a*B*e*(1+m))*(e*x+d)^(1+m)*hypergeom([4, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/b/(-a*e+b*d)^4/(2-m)/(1+m),1],
[(B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(5/2),x,3,(-a*e+b*d)^5*(-A*e+B*d)*(e*x+d)^(1+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(1+m)/(b*x+a)-(-a*e+b*d)^4*(-5*A*b*e-B*a*e+6*B*b*d)*(e*x+d)^(2+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(2+m)/(b*x+a)+5*b*(-a*e+b*d)^3*(-2*A*b*e-B*a*e+3*B*b*d)*(e*x+d)^(3+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(3+m)/(b*x+a)-10*b^2*(-a*e+b*d)^2*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(4+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(4+m)/(b*x+a)+5*b^3*(-a*e+b*d)*(-A*b*e-2*B*a*e+3*B*b*d)*(e*x+d)^(5+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(5+m)/(b*x+a)-b^4*(-A*b*e-5*B*a*e+6*B*b*d)*(e*x+d)^(6+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(6+m)/(b*x+a)+b^5*B*(e*x+d)^(7+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^7/(7+m)/(b*x+a),1],
[(B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,(-a*e+b*d)^3*(-A*e+B*d)*(e*x+d)^(1+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(1+m)/(b*x+a)-(-a*e+b*d)^2*(-3*A*b*e-B*a*e+4*B*b*d)*(e*x+d)^(2+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(2+m)/(b*x+a)+3*b*(-a*e+b*d)*(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(3+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(3+m)/(b*x+a)-b^2*(-A*b*e-3*B*a*e+4*B*b*d)*(e*x+d)^(4+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(4+m)/(b*x+a)+b^3*B*(e*x+d)^(5+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^5/(5+m)/(b*x+a),1],
[(B*x+A)*(e*x+d)^m*sqrt(b^2*x^2+2*a*b*x+a^2),x,3,(-a*e+b*d)*(-A*e+B*d)*(e*x+d)^(1+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(1+m)/(b*x+a)-(-A*b*e-B*a*e+2*B*b*d)*(e*x+d)^(2+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(2+m)/(b*x+a)+b*B*(e*x+d)^(3+m)*sqrt(b^2*x^2+2*a*b*x+a^2)/e^3/(3+m)/(b*x+a),1],
[(B*x+A)*(e*x+d)^m/sqrt(b^2*x^2+2*a*b*x+a^2),x,3,B*(b*x+a)*(e*x+d)^(1+m)/b/e/(1+m)/sqrt(b^2*x^2+2*a*b*x+a^2)-(A*b-B*a)*(b*x+a)*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/b/(-a*e+b*d)/(1+m)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x,3,-B*(e*x+d)^(1+m)/b/e/(1-m)/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2)+e*(2*b*B*d-A*b*e*(1-m)-a*B*e*(1+m))*(b*x+a)*(e*x+d)^(1+m)*hypergeom([3, 1+m],[2+m],b*(e*x+d)/(-a*e+b*d))/b/(-a*e+b*d)^3/(-m^2+1)/sqrt(b^2*x^2+2*a*b*x+a^2),1],
[(B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^p,x,3,B*(b*x+a)*(e*x+d)^(1+m)*(b^2*x^2+2*a*b*x+a^2)^p/b/e/(2+m+2*p)+(a*B*e*(1+m)-A*b*e*(2+m+2*p)+b*B*(2*d*p+d))*(b*x+a)*(e*x+d)^(1+m)*(b^2*x^2+2*a*b*x+a^2)^p*hypergeom([1, 2+m+2*p],[2+m],b*(e*x+d)/(-a*e+b*d))/b/e/(-a*e+b*d)/(1+m)/(2+m+2*p),1],
[(e*x+d)^(-3-2*p)*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x,2,(-a*g+b*f)*(b*x+a)*(e*x+d)^(-1-2*p)*(b^2*x^2+2*a*b*x+a^2)^p/(-a*e+b*d)^2/(1+2*p)-1/2*(-d*g+e*f)*(b^2*x^2+2*a*b*x+a^2)^(p+1)/(-a*e+b*d)^2/(p+1)/((e*x+d)^(2*p+2)),1],
[(e*f*x+d*f)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,3,sqrt(2)*sqrt(-4*a*c+b^2)*f*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/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a),x,2,-1/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^5/e^4+1/6*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^6/e^4-3/7*c*(-b*e+2*c*d)*(e*x+d)^7/e^4+1/4*c^2*(e*x+d)^8/e^4,1],
[(2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a),x,2,-1/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^4/e^4+1/5*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^5/e^4-1/2*c*(-b*e+2*c*d)*(e*x+d)^6/e^4+2/7*c^2*(e*x+d)^7/e^4,1],
[(2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a),x,2,-1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^3/e^4+1/4*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^4/e^4-3/5*c*(-b*e+2*c*d)*(e*x+d)^5/e^4+1/3*c^2*(e*x+d)^6/e^4,1],
[(2*c*x+b)*(e*x+d)*(c*x^2+b*x+a),x,2,a*b*d*x+1/2*(a*b*e+2*a*c*d+b^2*d)*x^2+1/3*(2*a*c*e+b^2*e+3*b*c*d)*x^3+1/4*c*(3*b*e+2*c*d)*x^4+2/5*c^2*e*x^5,1],
[(2*c*x+b)*(c*x^2+b*x+a),x,1,1/2*(c*x^2+b*x+a)^2,1],
[(2*c*x+b)*(c*x^2+b*x+a)/(e*x+d),x,2,(2*c^2*d^2+b^2*e^2-c*e*(-2*a*e+3*b*d))*x/e^3-1/2*c*(-3*b*e+2*c*d)*x^2/e^2+2/3*c^2*x^3/e-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*ln(e*x+d)/e^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^2,x,2,-c*(-3*b*e+4*c*d)*x/e^3+c^2*x^2/e^2+(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)+(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*ln(e*x+d)/e^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^3,x,2,2*c^2*x/e^3+1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^2-(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^4/(e*x+d)-3*c*(-b*e+2*c*d)*ln(e*x+d)/e^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^4,x,2,1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^3-1/2*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^4/(e*x+d)^2+3*c*(-b*e+2*c*d)/e^4/(e*x+d)+2*c^2*ln(e*x+d)/e^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^5,x,2,1/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^4-1/3*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^4/(e*x+d)^3+3/2*c*(-b*e+2*c*d)/e^4/(e*x+d)^2-2*c^2/e^4/(e*x+d),1],
[(2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a)^2,x,2,-1/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^5/e^6+1/3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^6/e^6-1/7*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^7/e^6+1/2*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^8/e^6-5/9*c^2*(-b*e+2*c*d)*(e*x+d)^9/e^6+1/5*c^3*(e*x+d)^10/e^6,1],
[(2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^2,x,2,-1/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^4/e^6+2/5*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^5/e^6-1/6*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^6/e^6+4/7*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^7/e^6-5/8*c^2*(-b*e+2*c*d)*(e*x+d)^8/e^6+2/9*c^3*(e*x+d)^9/e^6,1],
[(2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^2,x,2,-1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^3/e^6+1/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^4/e^6-1/5*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^5/e^6+2/3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^6/e^6-5/7*c^2*(-b*e+2*c*d)*(e*x+d)^7/e^6+1/4*c^3*(e*x+d)^8/e^6,1],
[(2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^2,x,2,a^2*b*d*x+1/2*a*(a*b*e+2*a*c*d+2*b^2*d)*x^2+1/3*(2*a^2*c*e+2*a*b^2*e+6*a*b*c*d+b^3*d)*x^3+1/4*(6*a*b*c*e+4*a*c^2*d+b^3*e+4*b^2*c*d)*x^4+1/5*c*(4*a*c*e+4*b^2*e+5*b*c*d)*x^5+1/6*c^2*(5*b*e+2*c*d)*x^6+2/7*c^3*e*x^7,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2,x,1,1/3*(c*x^2+b*x+a)^3,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d),x,2,2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*x/e^5-1/2*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^2/e^6+4/3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^3/e^6-5/4*c^2*(-b*e+2*c*d)*(e*x+d)^4/e^6+2/5*c^3*(e*x+d)^5/e^6-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)/e^6,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^2,x,2,-(8*c^3*d^3-b^3*e^3-c^2*d*e*(-8*a*e+15*b*d)+2*b*c*e^2*(-3*a*e+4*b*d))*x/e^5+c*(3*c^2*d^2+2*b^2*e^2-c*e*(-2*a*e+5*b*d))*x^2/e^4-1/3*c^2*(-5*b*e+4*c*d)*x^3/e^3+1/2*c^3*x^4/e^2+(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)+2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*ln(e*x+d)/e^6,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^3,x,2,c*(12*c^2*d^2+4*b^2*e^2-c*e*(-4*a*e+15*b*d))*x/e^5-1/2*c^2*(-5*b*e+6*c*d)*x^2/e^4+2/3*c^3*x^3/e^3+1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^2-2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^6/(e*x+d)-(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*ln(e*x+d)/e^6,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^4,x,2,-c^2*(-5*b*e+8*c*d)*x/e^5+c^3*x^2/e^4+1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^3-(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^6/(e*x+d)^2+(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^6/(e*x+d)+4*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*ln(e*x+d)/e^6,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^5,x,2,2*c^3*x/e^5+1/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^4-2/3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^6/(e*x+d)^3+1/2*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^6/(e*x+d)^2-4*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^6/(e*x+d)-5*c^2*(-b*e+2*c*d)*ln(e*x+d)/e^6,1],
[(2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a)^3,x,2,-1/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^5/e^8+1/6*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^6/e^8-3/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^7/e^8+1/8*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^8/e^8-5/9*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^9/e^8+3/10*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^10/e^8-7/11*c^3*(-b*e+2*c*d)*(e*x+d)^11/e^8+1/6*c^4*(e*x+d)^12/e^8,1],
[(2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^3,x,2,-1/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^4/e^8+1/5*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^5/e^8-1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^6/e^8+1/7*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^7/e^8-5/8*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^8/e^8+1/3*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^9/e^8-7/10*c^3*(-b*e+2*c*d)*(e*x+d)^10/e^8+2/11*c^4*(e*x+d)^11/e^8,1],
[(2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^3,x,2,-1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^3/e^8+1/4*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^4/e^8-3/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^5/e^8+1/6*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^6/e^8-5/7*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^7/e^8+3/8*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^8/e^8-7/9*c^3*(-b*e+2*c*d)*(e*x+d)^9/e^8+1/5*c^4*(e*x+d)^10/e^8,1],
[(2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^3,x,2,a^3*b*d*x+1/2*a^2*(a*b*e+2*a*c*d+3*b^2*d)*x^2+1/3*a*(2*a^2*c*e+3*a*b^2*e+9*a*b*c*d+3*b^3*d)*x^3+1/4*(9*a^2*b*c*e+6*a^2*c^2*d+3*a*b^3*e+12*a*b^2*c*d+b^4*d)*x^4+1/5*(6*a^2*c^2*e+12*a*b^2*c*e+15*a*b*c^2*d+b^4*e+5*b^3*c*d)*x^5+1/6*c*(15*a*b*c*e+6*a*c^2*d+5*b^3*e+9*b^2*c*d)*x^6+1/7*c^2*(6*a*c*e+9*b^2*e+7*b*c*d)*x^7+1/8*c^3*(7*b*e+2*c*d)*x^8+2/9*c^4*e*x^9,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3,x,1,1/4*(c*x^2+b*x+a)^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d),x,2,(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*x/e^7-3/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^2/e^8+1/3*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^3/e^8-5/4*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^4/e^8+3/5*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^5/e^8-7/6*c^3*(-b*e+2*c*d)*(e*x+d)^6/e^8+2/7*c^4*(e*x+d)^7/e^8-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)/e^8,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^2,x,2,-3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*x/e^7+(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)+1/2*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^2/e^8-5/3*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^3/e^8+3/4*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^4/e^8-7/5*c^3*(-b*e+2*c*d)*(e*x+d)^5/e^8+1/3*c^4*(e*x+d)^6/e^8+(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*ln(e*x+d)/e^8,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^3,x,2,(30*c^4*d^4+b^4*e^4-2*c^3*d^2*e*(-18*a*e+35*b*d)-3*b^2*c*e^3*(-4*a*e+5*b*d)+3*c^2*e^2*(2*a^2*e^2-15*a*b*d*e+18*b^2*d^2))*x/e^7-1/2*c*(20*c^3*d^3-5*b^3*e^3+3*b*c*e^2*(-5*a*e+9*b*d)-6*c^2*d*e*(-3*a*e+7*b*d))*x^2/e^6+c^2*(4*c^2*d^2+3*b^2*e^2-c*e*(-2*a*e+7*b*d))*x^3/e^5-1/4*c^3*(-7*b*e+6*c*d)*x^4/e^4+2/5*c^4*x^5/e^3+1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^2-(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^8/(e*x+d)-3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*ln(e*x+d)/e^8,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^4,x,2,-c*(40*c^3*d^3-5*b^3*e^3-2*c^2*d*e*(-12*a*e+35*b*d)+3*b*c*e^2*(-5*a*e+12*b*d))*x/e^7+1/2*c^2*(6*a*c*e^2+9*b^2*e^2-28*b*c*d*e+20*c^2*d^2)*x^2/e^6-1/3*c^3*(-7*b*e+8*c*d)*x^3/e^5+1/2*c^4*x^4/e^4+1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^3-1/2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^8/(e*x+d)^2+3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^8/(e*x+d)+(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*ln(e*x+d)/e^8,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^5,x,2,c^2*(30*c^2*d^2+9*b^2*e^2-c*e*(-6*a*e+35*b*d))*x/e^7-1/2*c^3*(-7*b*e+10*c*d)*x^2/e^6+2/3*c^4*x^3/e^5+1/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^4-1/3*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^8/(e*x+d)^3+3/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^8/(e*x+d)^2-(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^8/(e*x+d)-5*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*ln(e*x+d)/e^8,1],
[(2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a),x,6,e*(8*c^3*d^3-b^3*e^3+b*c*e^2*(3*a*e+4*b*d)-2*c^2*d*e*(4*a*e+3*b*d))*x/c^3+1/2*e^2*(12*c^2*d^2+b^2*e^2-2*c*e*(a*e+2*b*d))*x^2/c^2+1/3*e^3*(-b*e+8*c*d)*x^3/c+1/2*e^4*x^4-sqrt(-4*a*c+b^2)*e*(-b*e+2*c*d)*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^4+1/2*(2*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(a*e+b*d)-4*c^3*d^2*e*(3*a*e+b*d)+2*c^2*e^2*(a^2*e^2+6*a*b*d*e+3*b^2*d^2))*ln(c*x^2+b*x+a)/c^4,1],
[(2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a),x,6,e*(6*c^2*d^2+b^2*e^2-c*e*(2*a*e+3*b*d))*x/c^2+1/2*e^2*(-b*e+6*c*d)*x^2/c+2/3*e^3*x^3-sqrt(-4*a*c+b^2)*e*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3+1/2*(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*ln(c*x^2+b*x+a)/c^3,1],
[(2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a),x,6,e*(4*d-b*e/c)*x+e^2*x^2-sqrt(-4*a*c+b^2)*e*(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2+1/2*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*ln(c*x^2+b*x+a)/c^2,1],
[(2*c*x+b)*(e*x+d)/(c*x^2+b*x+a),x,6,2*e*x-sqrt(-4*a*c+b^2)*e*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c+1/2*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/c,1],
[(2*c*x+b)/(c*x^2+b*x+a),x,1,ln(c*x^2+b*x+a),1],
[(2*c*x+b)/(e*x+d)/(c*x^2+b*x+a),x,6,sqrt(-4*a*c+b^2)*e*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(a*e^2-b*d*e+c*d^2)-(-b*e+2*c*d)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)+(-b*e+2*c*d)*ln(c*x^2+b*x+a)/(2*a*e^2-2*b*d*e+2*c*d^2),1],
[(2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a),x,6,(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)/(e*x+d)+sqrt(-4*a*c+b^2)*e*(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(a*e^2-b*d*e+c*d^2)^2-(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2+1/2*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[(2*c*x+b)/(e*x+d)^3/(c*x^2+b*x+a),x,6,1/2*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)+sqrt(-4*a*c+b^2)*e*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(a*e^2-b*d*e+c*d^2)^3-(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3+1/2*(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^2,x,7,4*e^3*(-b*e+3*c*d)*x/c^2+2*e^4*x^2/c-(e*x+d)^4/(c*x^2+b*x+a)-4*e*(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+2*e^2*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*ln(c*x^2+b*x+a)/c^3,1],
[(2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^2,x,7,3*e^3*x/c-(e*x+d)^3/(c*x^2+b*x+a)-3*e*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)+3/2*e^2*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/c^2,1],
[(2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^2,x,5,-(e*x+d)^2/(c*x^2+b*x+a)-2*e*(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+e^2*ln(c*x^2+b*x+a)/c,1],
[(2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^2,x,3,-(e*x+d)/(c*x^2+b*x+a)-2*e*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(2*c*x+b)/(c*x^2+b*x+a)^2,x,1,-1/(c*x^2+b*x+a),1],
[(2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^2,x,7,-(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+e*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*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-e^2*(-b*e+2*c*d)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2+1/2*e^2*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[(2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a)^2,x,7,2*e^2*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/(e*x+d)/(c*x^2+b*x+a)+2*e*(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*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)^3-2*e^2*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3+e^2*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(2*c*x+b)*(e*x+d)^5/(c*x^2+b*x+a)^3,x,8,5/2*e^5*x/c^2-1/2*(e*x+d)^5/(c*x^2+b*x+a)^2+5/2*e*(4*a*b^2*c*d*e^3-a*b^3*e^4+8*a*c^2*d*e*(-a*e^2+c*d^2)-b*c*(-3*a^2*e^4+6*a*c*d^2*e^2+c^2*d^4)-(2*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(a*e+b*d)-4*c^3*d^2*e*(3*a*e+b*d)+2*c^2*e^2*(a^2*e^2+6*a*b*d*e+3*b^2*d^2))*x)/c^3/(-4*a*c+b^2)/(c*x^2+b*x+a)+5*e*(2*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-3*a*e+b*d)-6*a*c^2*e^3*(a*e+2*b*d)+2*b^2*c*e^3*(3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(3/2)+5/2*e^4*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/c^3,1],
[(2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^3,x,8,2*e^3*(-b*e+2*c*d)*x/c/(-4*a*c+b^2)-1/2*(e*x+d)^4/(c*x^2+b*x+a)^2-2*e*(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*e*(-b*e+2*c*d)*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+e^4*ln(c*x^2+b*x+a)/c^2,1],
[(2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^3,x,4,-1/2*(e*x+d)^3/(c*x^2+b*x+a)^2-3/2*e*(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+6*e*(a*e^2-b*d*e+c*d^2)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^3,x,4,-1/2*(e*x+d)^2/(c*x^2+b*x+a)^2-e*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*e*(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^3,x,4,1/2*(-e*x-d)/(c*x^2+b*x+a)^2-1/2*e*(2*c*x+b)/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*c*e*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(2*c*x+b)/(c*x^2+b*x+a)^3,x,1,-1/2/(c*x^2+b*x+a)^2,1],
[(2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^3,x,8,-1/2*(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^2-1/2*e*(3*b^2*c*d*e-8*a*c^2*d*e-2*b^3*e^2-b*c*(-7*a*e^2+c*d^2)-2*c*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)-e*(2*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-3*a*e+b*d)-6*a*c^2*e^3*(a*e+2*b*d)+2*b^2*c*e^3*(3*a*e+b*d))*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^4*(-b*e+2*c*d)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3+1/2*e^4*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a),x,2,-2/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(7/2)/e^4+2/9*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(9/2)/e^4-6/11*c*(-b*e+2*c*d)*(e*x+d)^(11/2)/e^4+4/13*c^2*(e*x+d)^(13/2)/e^4,1],
[(2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a),x,2,-2/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(5/2)/e^4+2/7*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(7/2)/e^4-2/3*c*(-b*e+2*c*d)*(e*x+d)^(9/2)/e^4+4/11*c^2*(e*x+d)^(11/2)/e^4,1],
[(2*c*x+b)*sqrt(e*x+d)*(c*x^2+b*x+a),x,2,-2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(3/2)/e^4+2/5*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(5/2)/e^4-6/7*c*(-b*e+2*c*d)*(e*x+d)^(7/2)/e^4+4/9*c^2*(e*x+d)^(9/2)/e^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)/sqrt(e*x+d),x,2,-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(e*x+d)/e^4+2/3*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(3/2)/e^4-6/5*c*(-b*e+2*c*d)*(e*x+d)^(5/2)/e^4+4/7*c^2*(e*x+d)^(7/2)/e^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(3/2),x,2,2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^4/sqrt(e*x+d)+2*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*sqrt(e*x+d)/e^4-2*c*(-b*e+2*c*d)*(e*x+d)^(3/2)/e^4+4/5*c^2*(e*x+d)^(5/2)/e^4,1],
[(2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(5/2),x,2,2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^(3/2)-2*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^4/sqrt(e*x+d)-6*c*(-b*e+2*c*d)*sqrt(e*x+d)/e^4+4/3*c^2*(e*x+d)^(3/2)/e^4,1],
[(2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a)^2,x,2,-2/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(7/2)/e^6+4/9*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(9/2)/e^6-2/11*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(11/2)/e^6+8/13*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(13/2)/e^6-2/3*c^2*(-b*e+2*c*d)*(e*x+d)^(15/2)/e^6+4/17*c^3*(e*x+d)^(17/2)/e^6,1],
[(2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a)^2,x,2,-2/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(5/2)/e^6+4/7*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(7/2)/e^6-2/9*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(9/2)/e^6+8/11*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(11/2)/e^6-10/13*c^2*(-b*e+2*c*d)*(e*x+d)^(13/2)/e^6+4/15*c^3*(e*x+d)^(15/2)/e^6,1],
[(2*c*x+b)*sqrt(e*x+d)*(c*x^2+b*x+a)^2,x,2,-2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(3/2)/e^6+4/5*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(5/2)/e^6-2/7*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(7/2)/e^6+8/9*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(9/2)/e^6-10/11*c^2*(-b*e+2*c*d)*(e*x+d)^(11/2)/e^6+4/13*c^3*(e*x+d)^(13/2)/e^6,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/sqrt(e*x+d),x,2,-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*sqrt(e*x+d)/e^6+4/3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(3/2)/e^6-2/5*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(5/2)/e^6+8/7*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(7/2)/e^6-10/9*c^2*(-b*e+2*c*d)*(e*x+d)^(9/2)/e^6+4/11*c^3*(e*x+d)^(11/2)/e^6,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(3/2),x,2,2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/sqrt(e*x+d)+4*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*sqrt(e*x+d)/e^6-2/3*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(3/2)/e^6+8/5*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(5/2)/e^6-10/7*c^2*(-b*e+2*c*d)*(e*x+d)^(7/2)/e^6+4/9*c^3*(e*x+d)^(9/2)/e^6,1],
[(2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(5/2),x,2,2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^(3/2)-4*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^6/sqrt(e*x+d)-2*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*sqrt(e*x+d)/e^6+8/3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(3/2)/e^6-2*c^2*(-b*e+2*c*d)*(e*x+d)^(5/2)/e^6+4/7*c^3*(e*x+d)^(7/2)/e^6,1],
[(2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a)^3,x,2,-2/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(7/2)/e^8+2/9*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(9/2)/e^8-6/11*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(11/2)/e^8+2/13*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(13/2)/e^8-2/3*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(15/2)/e^8+6/17*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(17/2)/e^8-14/19*c^3*(-b*e+2*c*d)*(e*x+d)^(19/2)/e^8+4/21*c^4*(e*x+d)^(21/2)/e^8,1],
[(2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a)^3,x,2,-2/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(5/2)/e^8+2/7*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(7/2)/e^8-2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(9/2)/e^8+2/11*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(11/2)/e^8-10/13*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(13/2)/e^8+2/5*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(15/2)/e^8-14/17*c^3*(-b*e+2*c*d)*(e*x+d)^(17/2)/e^8+4/19*c^4*(e*x+d)^(19/2)/e^8,1],
[(2*c*x+b)*sqrt(e*x+d)*(c*x^2+b*x+a)^3,x,2,-2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(3/2)/e^8+2/5*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(5/2)/e^8-6/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(7/2)/e^8+2/9*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(9/2)/e^8-10/11*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(11/2)/e^8+6/13*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(13/2)/e^8-14/15*c^3*(-b*e+2*c*d)*(e*x+d)^(15/2)/e^8+4/17*c^4*(e*x+d)^(17/2)/e^8,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/sqrt(e*x+d),x,2,-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*sqrt(e*x+d)/e^8+2/3*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(3/2)/e^8-6/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(5/2)/e^8+2/7*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(7/2)/e^8-10/9*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(9/2)/e^8+6/11*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(11/2)/e^8-14/13*c^3*(-b*e+2*c*d)*(e*x+d)^(13/2)/e^8+4/15*c^4*(e*x+d)^(15/2)/e^8,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(3/2),x,2,2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/sqrt(e*x+d)+2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*sqrt(e*x+d)/e^8-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(3/2)/e^8+2/5*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(5/2)/e^8-10/7*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(7/2)/e^8+2/3*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(9/2)/e^8-14/11*c^3*(-b*e+2*c*d)*(e*x+d)^(11/2)/e^8+4/13*c^4*(e*x+d)^(13/2)/e^8,1],
[(2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(5/2),x,2,2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^(3/2)-2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^8/sqrt(e*x+d)-6*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*sqrt(e*x+d)/e^8+2/3*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(3/2)/e^8-2*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(5/2)/e^8+6/7*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(7/2)/e^8-14/9*c^3*(-b*e+2*c*d)*(e*x+d)^(9/2)/e^8+4/11*c^4*(e*x+d)^(11/2)/e^8,1],
[(2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a),x,6,2*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*sqrt(e*x+d)/c^2+2/3*(-b*e+2*c*d)*(e*x+d)^(3/2)/c+4/5*(e*x+d)^(5/2)-1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)^(5/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(5/2)-1/2*(2*c*d-(b+sqrt(-4*a*c+b^2))*e)^(5/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(5/2),1],
[(2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a),x,6,2*(2*d-b*e/c)*sqrt(e*x+d)+4/3*(e*x+d)^(3/2)-(2*c*d-(b-sqrt(-4*a*c+b^2))*e)^(3/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)-(2*c*d-(b+sqrt(-4*a*c+b^2))*e)^(3/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2),1],
[(2*c*x+b)*sqrt(e*x+d)/(c*x^2+b*x+a),x,6,4*sqrt(e*x+d)-sqrt(2)*sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(c)-sqrt(2)*sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c),1],
[(2*c*x+b)/sqrt(e*x+d)/(c*x^2+b*x+a),x,4,-2*sqrt(2)*sqrt(c)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)-2*sqrt(2)*sqrt(c)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a),x,5,2*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)+sqrt(2)*sqrt(c)*(b*(b+sqrt(-4*a*c+b^2))*e-2*c*(sqrt(-4*a*c+b^2)*d+2*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)-sqrt(2)*sqrt(c)*(b*(b-sqrt(-4*a*c+b^2))*e+2*c*(sqrt(-4*a*c+b^2)*d-2*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2),1],
[(2*c*x+b)/(e*x+d)^(5/2)/(c*x^2+b*x+a),x,6,2/3*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+2*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-8*sqrt(2)*c^(5/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)^(5/2)-8*sqrt(2)*c^(5/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)^(5/2),1],
[(2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^2,x,6,5*e^2*sqrt(e*x+d)/c-(e*x+d)^(5/2)/(c*x^2+b*x+a)-5*e*(2*c^2*d^2+b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d-sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+5*e*(2*c^2*d^2+b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d+sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x,5,-(e*x+d)^(3/2)/(c*x^2+b*x+a)-3*e*sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2)+3*e*sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2),1],
[(2*c*x+b)*sqrt(e*x+d)/(c*x^2+b*x+a)^2,x,5,-sqrt(e*x+d)/(c*x^2+b*x+a)-sqrt(2)*sqrt(c)*e*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+sqrt(2)*sqrt(c)*e*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(2*c*x+b)/sqrt(e*x+d)/(c*x^2+b*x+a)^2,x,5,-sqrt(e*x+d)*(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+sqrt(c)*e*(2*c*d-(b+sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)-sqrt(c)*e*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2),1],
[(2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x,6,3*e^2*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/(c*x^2+b*x+a)+3*sqrt(c)*e*(2*c^2*d^2+b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d+sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2-3*sqrt(c)*e*(2*c^2*d^2+b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d-sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2,1],
[(2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^3,x,8,7/4*e^2*(-b*e+2*c*d)*sqrt(e*x+d)/c/(-4*a*c+b^2)-1/2*(e*x+d)^(7/2)/(c*x^2+b*x+a)^2-7/4*e*(e*x+d)^(3/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+7/4*e*(e*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))+(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+7/4*e*(e*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))-(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^3,x,6,-1/2*(e*x+d)^(5/2)/(c*x^2+b*x+a)^2-5/4*e*sqrt(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+5/4*e*(8*c^2*d^2+b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d-sqrt(-4*a*c+b^2)*d-2*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)-5/4*e*(8*c^2*d^2+b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d+sqrt(-4*a*c+b^2)*d-2*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^3,x,6,-1/2*(e*x+d)^(3/2)/(c*x^2+b*x+a)^2-3/4*e*(2*c*x+b)*sqrt(e*x+d)/(-4*a*c+b^2)/(c*x^2+b*x+a)+3/2*sqrt(c)*e*(4*c*d-(2*b-sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)-3/2*sqrt(c)*e*(4*c*d-(2*b+sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(2*c*x+b)*sqrt(e*x+d)/(c*x^2+b*x+a)^3,x,6,-1/2*sqrt(e*x+d)/(c*x^2+b*x+a)^2-1/4*e*sqrt(e*x+d)*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+1/4*sqrt(c)*e*(8*c^2*d^2-b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d-sqrt(-4*a*c+b^2)*d-6*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)-1/4*sqrt(c)*e*(8*c^2*d^2-b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d+sqrt(-4*a*c+b^2)*d-6*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2),1],
[(2*c*x+b)/sqrt(e*x+d)/(c*x^2+b*x+a)^3,x,6,-1/2*sqrt(e*x+d)*(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^2+1/4*e*sqrt(e*x+d)*(5*a*c*e*(-b*e+2*c*d)+(-3*b*e+c*d)*(2*a*c*e-b^2*e+b*c*d)+c*(2*c^2*d^2+3*b^2*e^2-2*c*e*(5*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)-1/4*sqrt(c)*e*(8*c^3*d^3+3*b^2*(b+sqrt(-4*a*c+b^2))*e^3-2*c^2*d*e*(6*b*d-sqrt(-4*a*c+b^2)*d-16*a*e)-2*c*e^2*(b^2*d+b*sqrt(-4*a*c+b^2)*d+8*a*b*e+5*a*sqrt(-4*a*c+b^2)*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2+1/4*sqrt(c)*e*(8*c^3*d^3+3*b^2*(b-sqrt(-4*a*c+b^2))*e^3-2*c^2*d*e*(6*b*d+sqrt(-4*a*c+b^2)*d-16*a*e)-2*c*e^2*(b^2*d-b*sqrt(-4*a*c+b^2)*d+8*a*b*e-5*a*sqrt(-4*a*c+b^2)*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2,1],
[(2*c*x+b)*(e*x+d)^4*sqrt(c*x^2+b*x+a),x,7,1/128*(-4*a*c+b^2)*e*(-b*e+2*c*d)*(8*c^2*d^2+3*b^2*e^2-4*c*e*(a*e+2*b*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/35*(4*c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d))*(e*x+d)^2*(c*x^2+b*x+a)^(3/2)/c^2+2/21*(-b*e+2*c*d)*(e*x+d)^3*(c*x^2+b*x+a)^(3/2)/c+2/7*(e*x+d)^4*(c*x^2+b*x+a)^(3/2)+1/1680*(128*c^4*d^4+105*b^4*e^4-14*b^2*c*e^3*(34*a*e+35*b*d)-16*c^3*d^2*e*(144*a*e+13*b*d)+8*c^2*e^2*(32*a^2*e^2+231*a*b*d*e+87*b^2*d^2)+6*c*e*(-b*e+2*c*d)*(8*c^2*d^2+21*b^2*e^2-4*c*e*(19*a*e+2*b*d))*x)*(c*x^2+b*x+a)^(3/2)/c^4-1/256*(-4*a*c+b^2)^2*e*(-b*e+2*c*d)*(8*c^2*d^2+3*b^2*e^2-4*c*e*(a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(2*c*x+b)*(e*x+d)^3*sqrt(c*x^2+b*x+a),x,6,1/256*(-4*a*c+b^2)*e*(24*c^2*d^2+7*b^2*e^2-4*c*e*(a*e+6*b*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/10*(-b*e+2*c*d)*(e*x+d)^2*(c*x^2+b*x+a)^(3/2)/c+1/3*(e*x+d)^3*(c*x^2+b*x+a)^(3/2)+1/480*(64*c^3*d^3-35*b^3*e^3+12*b*c*e^2*(11*a*e+10*b*d)-24*c^2*d*e*(16*a*e+3*b*d)+6*c*e*(8*c^2*d^2+7*b^2*e^2-4*c*e*(5*a*e+2*b*d))*x)*(c*x^2+b*x+a)^(3/2)/c^3-1/512*(-4*a*c+b^2)^2*e*(24*c^2*d^2+7*b^2*e^2-4*c*e*(a*e+6*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(2*c*x+b)*(e*x+d)^2*sqrt(c*x^2+b*x+a),x,5,1/32*(-4*a*c+b^2)*e*(-b*e+2*c*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+2/5*(e*x+d)^2*(c*x^2+b*x+a)^(3/2)+1/60*(16*c^2*d^2+5*b^2*e^2-2*c*e*(8*a*e+5*b*d)+6*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/c^2-1/64*(-4*a*c+b^2)^2*e*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(2*c*x+b)*(e*x+d)*sqrt(c*x^2+b*x+a),x,4,1/32*(-4*a*c+b^2)*e*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^2+1/12*(6*c*e*x-b*e+8*c*d)*(c*x^2+b*x+a)^(3/2)/c-1/64*(-4*a*c+b^2)^2*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a),x,1,2/3*(c*x^2+b*x+a)^(3/2),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d),x,6,-1/2*(-2*c*e*x-3*b*e+4*c*d)*sqrt(c*x^2+b*x+a)/e^2+1/4*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^3-(-b*e+2*c*d)*sqrt(a*e^2-b*d*e+c*d^2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^3,1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^2,x,6,(2*c*e*x-b*e+4*c*d)*sqrt(c*x^2+b*x+a)/e^2/(e*x+d)-2*sqrt(c)*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^3+1/2*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^3/sqrt(a*e^2-b*d*e+c*d^2),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^3,x,7,-2*c*sqrt(c*x^2+b*x+a)/e^2/(e*x+d)-1/4*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+2*c^(3/2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^3-1/8*(-b*e+2*c*d)*(8*c^2*d^2-b^2*e^2-4*c*e*(-3*a*e+2*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^3/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^4,x,4,-1/8*(-4*a*c+b^2)*e*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2+1/3*(-b*e+2*c*d)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^3+1/16*(-4*a*c+b^2)^2*e*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^5,x,5,-5/64*(-4*a*c+b^2)*e*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^2+1/4*(-b*e+2*c*d)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4+1/24*(4*c^2*d^2+5*b^2*e^2-4*c*e*(4*a*e+b*d))*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^3+5/128*(-4*a*c+b^2)^2*e*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^6,x,6,-1/128*(-4*a*c+b^2)*e*(24*c^2*d^2+7*b^2*e^2-4*c*e*(a*e+6*b*d))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^4/(e*x+d)^2+1/5*(-b*e+2*c*d)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^5+1/40*(8*c^2*d^2+7*b^2*e^2-4*c*e*(5*a*e+2*b*d))*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^4+1/240*(-b*e+2*c*d)*(8*c^2*d^2+35*b^2*e^2-4*c*e*(33*a*e+2*b*d))*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^3+1/256*(-4*a*c+b^2)^2*e*(24*c^2*d^2+7*b^2*e^2-4*c*e*(a*e+6*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(9/2),1],
[(2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^(3/2),x,7,-3/8192*(-4*a*c+b^2)^2*e*(32*c^2*d^2+9*b^2*e^2-4*c*e*(a*e+8*b*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/1024*(-4*a*c+b^2)*e*(32*c^2*d^2+9*b^2*e^2-4*c*e*(a*e+8*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+3/56*(-b*e+2*c*d)*(e*x+d)^2*(c*x^2+b*x+a)^(5/2)/c+1/4*(e*x+d)^3*(c*x^2+b*x+a)^(5/2)+1/2240*(96*c^3*d^3-63*b^3*e^3+4*b*c*e^2*(61*a*e+56*b*d)-8*c^2*d*e*(96*a*e+13*b*d)+10*c*e*(8*c^2*d^2+9*b^2*e^2-4*c*e*(7*a*e+2*b*d))*x)*(c*x^2+b*x+a)^(5/2)/c^3+3/16384*(-4*a*c+b^2)^3*e*(32*c^2*d^2+9*b^2*e^2-4*c*e*(a*e+8*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^(3/2),x,6,-1/256*(-4*a*c+b^2)^2*e*(-b*e+2*c*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/96*(-4*a*c+b^2)*e*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3+2/7*(e*x+d)^2*(c*x^2+b*x+a)^(5/2)+1/210*(24*c^2*d^2+7*b^2*e^2-2*c*e*(12*a*e+7*b*d)+10*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/2)/c^2+1/512*(-4*a*c+b^2)^3*e*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^(3/2),x,5,-1/256*(-4*a*c+b^2)^2*e*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+1/96*(-4*a*c+b^2)*e*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^2+1/30*(10*c*e*x-b*e+12*c*d)*(c*x^2+b*x+a)^(5/2)/c+1/512*(-4*a*c+b^2)^3*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2),x,1,2/5*(c*x^2+b*x+a)^(5/2),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d),x,7,-1/32*(64*c^3*d^3-b^3*e^3+4*b*c*e^2*(-11*a*e+12*b*d)-16*c^2*d*e*(-4*a*e+7*b*d)-2*c*e*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*x)*sqrt(c*x^2+b*x+a)/c/e^4-1/12*(-6*c*e*x-7*b*e+8*c*d)*(c*x^2+b*x+a)^(3/2)/e^2+1/64*(128*c^4*d^4-b^4*e^4-8*b^2*c*e^3*(-3*a*e+2*b*d)-64*c^3*d^2*e*(-3*a*e+4*b*d)+48*c^2*e^2*(a^2*e^2-4*a*b*d*e+3*b^2*d^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^5-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^(3/2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5,1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^2,x,7,1/2*(16*c^2*d^2+5*b^2*e^2-4*c*e*(-a*e+5*b*d)-4*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^4+1/3*(2*c*e*x-3*b*e+8*c*d)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)-1/4*(-b*e+2*c*d)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^5+1/2*sqrt(a*e^2-b*d*e+c*d^2)*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5,1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^3,x,7,-3/4*(16*c^2*d^2+b^2*e^2-4*c*e*(-a*e+3*b*d)+4*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^4/(e*x+d)+1/2*(2*c*e*x-b*e+4*c*d)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)^2+3/4*sqrt(c)*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^5-3/8*(-b*e+2*c*d)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5/sqrt(a*e^2-b*d*e+c*d^2),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^4,x,8,4*c*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/e^4/(e*x+d)+1/8*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+1/3*(6*c*e*x-b*e+8*c*d)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)^3-4*c^(3/2)*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^5+1/16*(128*c^4*d^4-b^4*e^4-8*b^2*c*e^3*(-3*a*e+2*b*d)-64*c^3*d^2*e*(-3*a*e+4*b*d)+48*c^2*e^2*(a^2*e^2-4*a*b*d*e+3*b^2*d^2))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^(5/2),x,8,3/65536*(-4*a*c+b^2)^3*e*(40*c^2*d^2+11*b^2*e^2-4*c*e*(a*e+10*b*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6-1/8192*(-4*a*c+b^2)^2*e*(40*c^2*d^2+11*b^2*e^2-4*c*e*(a*e+10*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^5+1/2560*(-4*a*c+b^2)*e*(40*c^2*d^2+11*b^2*e^2-4*c*e*(a*e+10*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^4+1/30*(-b*e+2*c*d)*(e*x+d)^2*(c*x^2+b*x+a)^(7/2)/c+1/5*(e*x+d)^3*(c*x^2+b*x+a)^(7/2)+1/6720*(128*c^3*d^3-99*b^3*e^3+4*b*c*e^2*(97*a*e+90*b*d)-8*c^2*d*e*(160*a*e+17*b*d)+14*c*e*(8*c^2*d^2+11*b^2*e^2-4*c*e*(9*a*e+2*b*d))*x)*(c*x^2+b*x+a)^(7/2)/c^3-3/131072*(-4*a*c+b^2)^4*e*(40*c^2*d^2+11*b^2*e^2-4*c*e*(a*e+10*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[(2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^(5/2),x,7,5/8192*(-4*a*c+b^2)^3*e*(-b*e+2*c*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5-5/3072*(-4*a*c+b^2)^2*e*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+1/192*(-4*a*c+b^2)*e*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^3+2/9*(e*x+d)^2*(c*x^2+b*x+a)^(7/2)+1/504*(32*c^2*d^2+9*b^2*e^2-2*c*e*(16*a*e+9*b*d)+14*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(7/2)/c^2-5/16384*(-4*a*c+b^2)^4*e*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^(5/2),x,6,5/8192*(-4*a*c+b^2)^3*e*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4-5/3072*(-4*a*c+b^2)^2*e*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3+1/192*(-4*a*c+b^2)*e*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^2+1/56*(14*c*e*x-b*e+16*c*d)*(c*x^2+b*x+a)^(7/2)/c-5/16384*(-4*a*c+b^2)^4*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(5/2),x,1,2/7*(c*x^2+b*x+a)^(7/2),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d),x,8,-1/256*(512*c^5*d^5+b^5*e^5-128*c^4*d^3*e*(-8*a*e+11*b*d)+8*b^3*c*e^4*(-2*a*e+b*d)+32*c^3*d*e^2*(16*a^2*e^2-55*a*b*d*e+40*b^2*d^2)-8*b*c^2*e^3*(42*a^2*e^2-92*a*b*d*e+49*b^2*d^2)-2*c*e*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*x)*sqrt(c*x^2+b*x+a)/c^2/e^6-1/96*(64*c^3*d^3-b^3*e^3+4*b*c*e^2*(-13*a*e+14*b*d)-8*c^2*d*e*(-8*a*e+15*b*d)-2*c*e*(24*c^2*d^2+b^2*e^2-4*c*e*(-5*a*e+6*b*d))*x)*(c*x^2+b*x+a)^(3/2)/c/e^4-1/30*(-10*c*e*x-11*b*e+12*c*d)*(c*x^2+b*x+a)^(5/2)/e^2+1/512*(1024*c^6*d^6+b^6*e^6+4*b^4*c*e^5*(-5*a*e+2*b*d)-512*c^5*d^4*e*(-5*a*e+6*b*d)-320*c^3*e^3*(-a*e+b*d)^2*(-a*e+4*b*d)+640*c^4*d^2*e^2*(3*a^2*e^2-8*a*b*d*e+5*b^2*d^2)+40*b^2*c^2*e^4*(6*a^2*e^2-8*a*b*d*e+3*b^2*d^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/e^7-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^(5/2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7,1],
[(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^2,x,8,1/32*(384*c^4*d^4+b^4*e^4-2*b^2*c*e^3*(-62*a*e+65*b*d)-32*c^3*d^2*e*(-14*a*e+27*b*d)+8*c^2*e^2*(8*a^2*e^2-67*a*b*d*e+76*b^2*d^2)-2*c*e*(-b*e+2*c*d)*(44*a*c*e^2+b^2*e^2-48*b*c*d*e+48*c^2*d^2)*x)*sqrt(c*x^2+b*x+a)/c/e^6+1/12*(48*c^2*d^2-66*b*c*d*e+19*b^2*e^2+8*a*c*e^2-18*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^4+1/5*(2*c*e*x-5*b*e+12*c*d)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)-1/64*(-b*e+2*c*d)*(384*c^4*d^4-b^4*e^4-8*b^2*c*e^3*(-5*a*e+4*b*d)-128*c^3*d^2*e*(-5*a*e+6*b*d)+16*c^2*e^2*(15*a^2*e^2-40*a*b*d*e+26*b^2*d^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^7+1/2*(a*e^2-b*d*e+c*d^2)^(3/2)*(24*c^2*d^2+5*b^2*e^2-4*c*e*(-a*e+6*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7,1],
[(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^3,x,8,-15/32*(64*c^3*d^3-7*b^3*e^3+4*b*c*e^2*(-5*a*e+14*b*d)-16*c^2*d*e*(-2*a*e+7*b*d)-2*c*e*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*x)*sqrt(c*x^2+b*x+a)/e^6-5/4*(8*c^2*d^2+b^2*e^2-c*e*(-2*a*e+7*b*d)+c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^4/(e*x+d)+1/2*(c*e*x-b*e+3*c*d)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)^2+15/64*(128*c^4*d^4+b^4*e^4-8*b^2*c*e^3*(-3*a*e+4*b*d)-128*c^3*d^2*e*(-a*e+2*b*d)+16*c^2*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^7-15/8*(-b*e+2*c*d)*sqrt(a*e^2-b*d*e+c*d^2)*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7,1],
[(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^4,x,8,5/8*(64*c^3*d^3-b^3*e^3-16*c^2*d*e*(-2*a*e+5*b*d)+12*b*c*e^2*(-a*e+2*b*d)+2*c*e*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*x)*sqrt(c*x^2+b*x+a)/e^6/(e*x+d)-5/12*(16*c^2*d^2+b^2*e^2-4*c*e*(-a*e+3*b*d)+4*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^4/(e*x+d)^2+1/3*(2*c*e*x-b*e+4*c*d)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)^3-5/2*sqrt(c)*(-b*e+2*c*d)*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^7+5/16*(128*c^4*d^4+b^4*e^4-8*b^2*c*e^3*(-3*a*e+4*b*d)-128*c^3*d^2*e*(-a*e+2*b*d)+16*c^2*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7/sqrt(a*e^2-b*d*e+c*d^2),1],
[(2*c*x+b)*(e*x+d)^3/sqrt(c*x^2+b*x+a),x,5,1/4*(-b*e+2*c*d)*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c+1/2*(e*x+d)^3*sqrt(c*x^2+b*x+a)+1/32*(32*c^3*d^3-15*b^3*e^3+4*b*c*e^2*(13*a*e+12*b*d)-8*c^2*d*e*(16*a*e+5*b*d)+2*c*e*(8*c^2*d^2+5*b^2*e^2-4*c*e*(3*a*e+2*b*d))*x)*sqrt(c*x^2+b*x+a)/c^3+3/64*(-4*a*c+b^2)*e*(16*c^2*d^2+5*b^2*e^2-4*c*e*(a*e+4*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(2*c*x+b)*(e*x+d)^2/sqrt(c*x^2+b*x+a),x,4,2/3*(e*x+d)^2*sqrt(c*x^2+b*x+a)+1/6*(8*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+3*b*d)+2*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c^2+1/4*(-4*a*c+b^2)*e*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(2*c*x+b)*(e*x+d)/sqrt(c*x^2+b*x+a),x,3,1/2*(2*c*e*x-b*e+4*c*d)*sqrt(c*x^2+b*x+a)/c+1/4*(-4*a*c+b^2)*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(2*c*x+b)/sqrt(c*x^2+b*x+a),x,1,2*sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/(e*x+d)/sqrt(c*x^2+b*x+a),x,5,2*sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e-(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e/sqrt(a*e^2-b*d*e+c*d^2),1],
[(2*c*x+b)/(e*x+d)^2/sqrt(c*x^2+b*x+a),x,3,(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)-1/2*(-4*a*c+b^2)*e*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(2*c*x+b)/(e*x+d)^3/sqrt(c*x^2+b*x+a),x,4,1/2*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+1/4*(4*c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d))*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-3/8*(-4*a*c+b^2)*e*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(2*c*x+b)/(e*x+d)^4/sqrt(c*x^2+b*x+a),x,5,1/3*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^3+1/12*(8*c^2*d^2+5*b^2*e^2-4*c*e*(3*a*e+2*b*d))*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2+1/24*(-b*e+2*c*d)*(8*c^2*d^2+15*b^2*e^2-4*c*e*(13*a*e+2*b*d))*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)-1/16*(-4*a*c+b^2)*e*(16*c^2*d^2+5*b^2*e^2-4*c*e*(a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^(3/2),x,5,-2*(e*x+d)^4/sqrt(c*x^2+b*x+a)+8/3*e^2*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c+1/3*e^2*(64*c^2*d^2+15*b^2*e^2-2*c*e*(8*a*e+27*b*d)+10*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c^3+1/2*e*(-b*e+2*c*d)*(8*c^2*d^2+5*b^2*e^2-4*c*e*(3*a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x,4,-2*(e*x+d)^3/sqrt(c*x^2+b*x+a)+3/2*e^2*(2*c*e*x-3*b*e+8*c*d)*sqrt(c*x^2+b*x+a)/c^2+3/4*e*((-4*a*c+3*b^2)*e^2+8*c*d*(-b*e+c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x,4,-2*(e*x+d)^2/sqrt(c*x^2+b*x+a)+4*e^2*sqrt(c*x^2+b*x+a)/c+2*e*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^(3/2),x,3,(-2*e*x-2*d)/sqrt(c*x^2+b*x+a)+2*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c),1],
[(2*c*x+b)/(c*x^2+b*x+a)^(3/2),x,1,-2/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^(3/2),x,3,(2*c*e*x+2*b*e-2*c*d)/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)-e*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x,4,(2*c*e*x+2*b*e-2*c*d)/(a*e^2-b*d*e+c*d^2)/(e*x+d)/sqrt(c*x^2+b*x+a)+3*e^2*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-1/2*e*(8*c^2*d^2+3*b^2*e^2-4*c*e*(a*e+2*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(2*c*x+b)*(e*x+d)^4/(c*x^2+b*x+a)^(5/2),x,5,-2/3*(e*x+d)^4/(c*x^2+b*x+a)^(3/2)-16/3*e*(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+8/3*e^2*(8*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+3*b*d)+2*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)+4*e^3*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(2*c*x+b)*(e*x+d)^3/(c*x^2+b*x+a)^(5/2),x,4,-2/3*(e*x+d)^3/(c*x^2+b*x+a)^(3/2)-4*e*(b*c*d^2-4*a*c*d*e+a*b*e^2+(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*x)/c/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+2*e^3*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(2*c*x+b)*(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x,2,-2/3*(e*x+d)^2/(c*x^2+b*x+a)^(3/2)-8/3*e*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)/(c*x^2+b*x+a)^(5/2),x,2,1/3*(-2*e*x-2*d)/(c*x^2+b*x+a)^(3/2)-4/3*e*(2*c*x+b)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/(c*x^2+b*x+a)^(5/2),x,1,-2/3/(c*x^2+b*x+a)^(3/2),1],
[(2*c*x+b)/(e*x+d)/(c*x^2+b*x+a)^(5/2),x,4,1/3*(2*c*e*x+2*b*e-2*c*d)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(3/2)-2/3*e*(5*b^2*c*d*e-12*a*c^2*d*e-3*b^3*e^2-2*b*c*(-5*a*e^2+c*d^2)-c*(4*c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)-e^3*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(2*c*x+b)/(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x,5,1/3*(2*c*e*x+2*b*e-2*c*d)/(a*e^2-b*d*e+c*d^2)/(e*x+d)/(c*x^2+b*x+a)^(3/2)+5/3*e^2*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)/sqrt(c*x^2+b*x+a)+1/3*e*(20*a*c*e*(-b*e+2*c*d)^2+(2*a*c*e-b^2*e+b*c*d)*(8*c^2*d^2+15*b^2*e^2-4*c*e*(3*a*e+7*b*d))+c*(-b*e+2*c*d)*(8*c^2*d^2+15*b^2*e^2-4*c*e*(13*a*e+2*b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*x^2+b*x+a)-1/2*e^3*(16*c^2*d^2+5*b^2*e^2-4*c*e*(a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(2*c*x+b)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a),x,7,2/105*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c/e^2-2/35*(e*x+d)^(3/2)*(-10*c*e*x-9*b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^2+2/105*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*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)))/c^2/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)*(16*c^2*d^2-b^2*e^2-4*c*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^2/e^3/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/sqrt(e*x+d),x,6,-2/15*sqrt(e*x+d)*(-6*c*e*x-7*b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^2+1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^2*d^2+b^2*e^2-4*c*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/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)-16/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*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/e^3/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^(3/2),x,6,2/3*(2*c*e*x-3*b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^2/sqrt(e*x+d)-8/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*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)))/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)+2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^2*d^2+3*b^2*e^2-4*c*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^3/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^(5/2),x,7,-2/3*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*sqrt(c*x^2+b*x+a)/e^2/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)+2/3*(6*c*e*x-b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^2/(e*x+d)^(3/2)+1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^2*d^2+b^2*e^2-4*c*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)))/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)-16/3*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)))/e^3/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*sqrt(c*x^2+b*x+a)/(e*x+d)^(7/2),x,8,2/15*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(c*x^2+b*x+a)/e^2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+4/15*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*sqrt(c*x^2+b*x+a)/e^2/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-2/5*(10*c*e*x+b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^2/(e*x+d)^(5/2)-2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*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^3/(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)*(16*c^2*d^2-b^2*e^2-4*c*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)))/e^3/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/sqrt(e*x+d),x,7,-2/315*sqrt(e*x+d)*(128*c^3*d^3-b^3*e^3+3*b*c*e^2*(-36*a*e+37*b*d)-12*c^2*d*e*(-11*a*e+20*b*d)-3*c*e*(32*c^2*d^2+b^2*e^2-4*c*e*(-7*a*e+8*b*d))*x)*sqrt(c*x^2+b*x+a)/c/e^4-2/63*sqrt(e*x+d)*(-14*c*e*x-15*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^2+2/315*sqrt(2)*sqrt(-4*a*c+b^2)*(128*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-57*a*e+64*b*d)-b^2*c*e^3*(-15*a*e+7*b*d)+3*c^2*e^2*(28*a^2*e^2-76*a*b*d*e+45*b^2*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^2/e^5/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)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(128*c^2*d^2-b^2*e^2-4*c*e*(-33*a*e+32*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^5/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^(3/2),x,7,2/35*sqrt(e*x+d)*(128*c^2*d^2+51*b^2*e^2-4*c*e*(-5*a*e+44*b*d)-48*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^4+2/7*(2*c*e*x-7*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^2/sqrt(e*x+d)-1/35*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(128*c^2*d^2+3*b^2*e^2-4*c*e*(-29*a*e+32*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^5/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+4/35*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(128*c^2*d^2+27*b^2*e^2-4*c*e*(-5*a*e+32*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^5/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^(5/2),x,7,-2/15*(128*c^2*d^2+15*b^2*e^2-4*c*e*(-9*a*e+28*b*d)+16*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^4/sqrt(e*x+d)+2/15*(6*c*e*x-5*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)^(3/2)+2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(128*c^2*d^2+23*b^2*e^2-4*c*e*(-9*a*e+32*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^5/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*e+2*c*d)*(128*c^2*d^2+15*b^2*e^2-4*c*e*(-17*a*e+32*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^5/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^(7/2),x,8,2/15*(-b*e+2*c*d)*(128*c^2*d^2+3*b^2*e^2-4*c*e*(-29*a*e+32*b*d))*sqrt(c*x^2+b*x+a)/e^4/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-2/15*(128*c^2*d^2+3*b^2*e^2-20*c*e*(-a*e+4*b*d)+48*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^4/(e*x+d)^(3/2)+2/15*(10*c*e*x-3*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)^(5/2)-1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(128*c^2*d^2+3*b^2*e^2-4*c*e*(-29*a*e+32*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^5/(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)+4/15*sqrt(2)*sqrt(-4*a*c+b^2)*(128*c^2*d^2+27*b^2*e^2-4*c*e*(-5*a*e+32*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^5/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(5/2)/sqrt(c*x^2+b*x+a),x,8,4/21*(3*c^2*d^2+2*b^2*e^2-c*e*(5*a*e+3*b*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2+2/7*(-b*e+2*c*d)*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c+4/7*(e*x+d)^(5/2)*sqrt(c*x^2+b*x+a)+1/21*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(3*c^2*d^2+8*b^2*e^2-c*e*(29*a*e+3*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^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)-4/21*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(3*c^2*d^2+2*b^2*e^2-c*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^3/e/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a),x,7,2/5*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c+4/5*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)+2/5*sqrt(2)*sqrt(-4*a*c+b^2)*(c^2*d^2+b^2*e^2-c*e*(3*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^2/e/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/5*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*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^2/e/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,6,4/3*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)+1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*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/e/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-4/3*sqrt(2)*sqrt(-4*a*c+b^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*(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/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,5,2*sqrt(2)*sqrt(-4*a*c+b^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/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/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a),x,6,2*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*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)))/e/(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)+4*sqrt(2)*sqrt(-4*a*c+b^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)))/e/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/(e*x+d)^(5/2)/sqrt(c*x^2+b*x+a),x,7,2/3*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+4/3*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(c^2*d^2+b^2*e^2-c*e*(3*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/(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)*(-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)))/e/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^(3/2),x,8,-2*(e*x+d)^(7/2)/sqrt(c*x^2+b*x+a)+56/15*e^2*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2+14/5*e^2*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c+7/15*sqrt(2)*sqrt(-4*a*c+b^2)*e*(23*c^2*d^2+8*b^2*e^2-c*e*(9*a*e+23*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^3/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-56/15*sqrt(2)*sqrt(-4*a*c+b^2)*e*(-b*e+2*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/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x,7,-2*(e*x+d)^(5/2)/sqrt(c*x^2+b*x+a)+10/3*e^2*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c+10/3*sqrt(2)*sqrt(-4*a*c+b^2)*e*(-b*e+2*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/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-10/3*sqrt(2)*sqrt(-4*a*c+b^2)*e*(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^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,3,-2*(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a)+3*sqrt(2)*sqrt(-4*a*c+b^2)*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/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*sqrt(e*x+d)/(c*x^2+b*x+a)^(3/2),x,3,-2*sqrt(e*x+d)/sqrt(c*x^2+b*x+a)+2*sqrt(2)*sqrt(-4*a*c+b^2)*e*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/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/sqrt(e*x+d)/(c*x^2+b*x+a)^(3/2),x,4,-2*sqrt(e*x+d)*(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)-sqrt(2)*sqrt(-4*a*c+b^2)*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)))/(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),1],
[(2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,7,(2*c*e*x+2*b*e-2*c*d)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a)+4*e^2*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-2*sqrt(2)*sqrt(-4*a*c+b^2)*e*(-b*e+2*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)))/(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*sqrt(2)*sqrt(-4*a*c+b^2)*e*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)))/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^(5/2),x,8,-2/3*(e*x+d)^(7/2)/(c*x^2+b*x+a)^(3/2)-14/3*e*(e*x+d)^(3/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+14/3*e^2*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)+14/3*sqrt(2)*e*(c^2*d^2+b^2*e^2-c*e*(3*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^2/sqrt(-4*a*c+b^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-14/3*sqrt(2)*e*(-b*e+2*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^2/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2)-10/3*e*sqrt(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+5/3*sqrt(2)*e*(-b*e+2*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/sqrt(-4*a*c+b^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-20/3*sqrt(2)*e*(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/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2)-2*e*(2*c*x+b)*sqrt(e*x+d)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+2*sqrt(2)*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)))/sqrt(-4*a*c+b^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)*e*(-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/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*sqrt(e*x+d)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*sqrt(e*x+d)/(c*x^2+b*x+a)^(3/2)-2/3*e*sqrt(e*x+d)*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)+1/3*sqrt(2)*e*(-b*e+2*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)))/sqrt(-4*a*c+b^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)-4/3*sqrt(2)*e*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)))/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)/sqrt(e*x+d)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*sqrt(e*x+d)*(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(3/2)-2/3*e*sqrt(e*x+d)*(3*b^2*c*d*e-8*a*c^2*d*e-2*b^3*e^2-b*c*(-7*a*e^2+c*d^2)-2*c*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)-2/3*sqrt(2)*e*(c^2*d^2+b^2*e^2-c*e*(3*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)))/sqrt(-4*a*c+b^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)*e*(-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)))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(2*c*x+b)*(e*x+d)^m*(c*x^2+b*x+a)^3,x,2,-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(1+m)/e^8/(1+m)+(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(2+m)/e^8/(2+m)-3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(3+m)/e^8/(3+m)+(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(4+m)/e^8/(4+m)-5*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(5+m)/e^8/(5+m)+3*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(6+m)/e^8/(6+m)-7*c^3*(-b*e+2*c*d)*(e*x+d)^(7+m)/e^8/(7+m)+2*c^4*(e*x+d)^(8+m)/e^8/(8+m),1],
[(2*c*x+b)*(e*x+d)^m*(c*x^2+b*x+a)^2,x,2,-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(1+m)/e^6/(1+m)+2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(2+m)/e^6/(2+m)-(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(3+m)/e^6/(3+m)+4*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(4+m)/e^6/(4+m)-5*c^2*(-b*e+2*c*d)*(e*x+d)^(5+m)/e^6/(5+m)+2*c^3*(e*x+d)^(6+m)/e^6/(6+m),1],
[(2*c*x+b)*(e*x+d)^m*(c*x^2+b*x+a),x,2,-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(1+m)/e^4/(1+m)+(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(2+m)/e^4/(2+m)-3*c*(-b*e+2*c*d)*(e*x+d)^(3+m)/e^4/(3+m)+2*c^2*(e*x+d)^(4+m)/e^4/(4+m),1],
[(2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a),x,3,-2*c*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(1+m)-2*c*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(1+m),1],
[(2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a)^2,x,4,-(e*x+d)^(1+m)*(-c*e*x-b*e+c*d)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)-c*e*(2*c*d-(b+sqrt(-4*a*c+b^2))*e)*m*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+m)+c*e*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)*m*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+m),1],
[(1+x)^4*(b*x+a)*(x^2-x+1)^4,x,3,a*x+1/2*b*x^2+a*x^4+4/5*b*x^5+6/7*a*x^7+3/4*b*x^8+2/5*a*x^10+4/11*b*x^11+1/13*a*x^13+1/14*b*x^14,1],
[(1+x)^3*(b*x+a)*(x^2-x+1)^3,x,3,a*x+1/2*b*x^2+3/4*a*x^4+3/5*b*x^5+3/7*a*x^7+3/8*b*x^8+1/10*a*x^10+1/11*b*x^11,1],
[(1+x)^2*(b*x+a)*(x^2-x+1)^2,x,3,1/2*a*x^4+2/5*b*x^5+1/7*a*x^7+1/8*b*x^8+1/2*(b*x+a)^2/b,1],
[(1+x)*(b*x+a)*(x^2-x+1),x,4,1/4*a*x^4+1/5*b*x^5+1/2*(b*x+a)^2/b,1],
[(b*x+a)/(1+x)/(x^2-x+1),x,7,-(a+b)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/3*(a-b)*ln(1+x)-1/6*(a-b)*ln(x^2-x+1),1],
[(b*x+a)/(1+x)^2/(x^2-x+1)^2,x,8,x*(b*x+a)/(3*x^3+3)-1/3*(2*a+b)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/9*(2*a-b)*ln(1+x)-1/18*(2*a-b)*ln(x^2-x+1),1],
[(b*x+a)/(1+x)^3/(x^2-x+1)^3,x,9,1/6*x*(b*x+a)/(x^3+1)^2+x*(4*b*x+5*a)/(18*x^3+18)-1/9*(5*a+2*b)*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/27*(5*a-2*b)*ln(1+x)-1/54*(5*a-2*b)*ln(x^2-x+1),1],
[(1+x)^(3/2)*(b*x+a)*(x^2-x+1)^(3/2),x,6,54*b*sqrt(1+x)*sqrt(x^2-x+1)/(91+91*sqrt(3)+91*x)+18/5005*sqrt(1+x)*sqrt(x^2-x+1)*(55*b*x^2+91*a*x)+2/143*sqrt(1+x)*sqrt(x^2-x+1)*(11*b*x^2+13*a*x)*(x^3+1)-27/91*3^(1/4)*sqrt(2-sqrt(3))*b*(1+x)^(3/2)*sqrt(x^2-x+1)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticE(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/(x^3+1)+18/5005*3^(3/4)*sqrt(2+sqrt(3))*(91*a-55*(1-sqrt(3))*b)*(1+x)^(3/2)*sqrt(x^2-x+1)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/(x^3+1),1],
[sqrt(1+x)*(b*x+a)*sqrt(x^2-x+1),x,5,6*b*sqrt(1+x)*sqrt(x^2-x+1)/(7+7*sqrt(3)+7*x)+2/35*sqrt(1+x)*sqrt(x^2-x+1)*(5*b*x^2+7*a*x)-3/7*3^(1/4)*sqrt(2-sqrt(3))*b*(1+x)^(3/2)*sqrt(x^2-x+1)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticE(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/(x^3+1)+2/35*3^(3/4)*sqrt(2+sqrt(3))*(7*a-5*(1-sqrt(3))*b)*(1+x)^(3/2)*sqrt(x^2-x+1)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/(x^3+1),1],
[(b*x+a)/sqrt(1+x)/sqrt(x^2-x+1),x,4,2*b*(x^3+1)/sqrt(1+x)/(1+sqrt(3)+x)/sqrt(x^2-x+1)-3^(1/4)*sqrt(2-sqrt(3))*b*sqrt(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticE(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^2-x+1)+2/3*sqrt(2+sqrt(3))*(a-(1-sqrt(3))*b)*sqrt(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^2-x+1),1],
[(b*x+a)/(1+x)^(3/2)/(x^2-x+1)^(3/2),x,5,2/3*x*(b*x+a)/sqrt(1+x)/sqrt(x^2-x+1)-2/3*b*(x^3+1)/sqrt(1+x)/(1+sqrt(3)+x)/sqrt(x^2-x+1)+1/3*3^(1/4)*sqrt(2-sqrt(3))*b*sqrt(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticE(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^2-x+1)+2/9*sqrt(2+sqrt(3))*(a+b-sqrt(3)*b)*sqrt(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^2-x+1),1],
[(b*x+a)/(1+x)^(5/2)/(x^2-x+1)^(5/2),x,6,2/27*x*(5*b*x+7*a)/sqrt(1+x)/sqrt(x^2-x+1)+2/9*x*(b*x+a)/sqrt(1+x)/sqrt(x^2-x+1)/(x^3+1)-10/27*b*(x^3+1)/sqrt(1+x)/(1+sqrt(3)+x)/sqrt(x^2-x+1)+5/27*3^(1/4)*sqrt(2-sqrt(3))*b*sqrt(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticE(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^2-x+1)+2/81*sqrt(2+sqrt(3))*(7*a+5*(1-sqrt(3))*b)*sqrt(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^2-x+1),1],
[x*(e*x+d)^5*(c*x^2+b*x+a),x,2,-1/6*d*(a*e^2-b*d*e+c*d^2)*(e*x+d)^6/e^4+1/7*(3*c*d^2-e*(-a*e+2*b*d))*(e*x+d)^7/e^4-1/8*(-b*e+3*c*d)*(e*x+d)^8/e^4+1/9*c*(e*x+d)^9/e^4,1],
[x*(e*x+d)^4*(c*x^2+b*x+a),x,2,-1/5*d*(a*e^2-b*d*e+c*d^2)*(e*x+d)^5/e^4+1/6*(3*c*d^2-e*(-a*e+2*b*d))*(e*x+d)^6/e^4-1/7*(-b*e+3*c*d)*(e*x+d)^7/e^4+1/8*c*(e*x+d)^8/e^4,1],
[x*(e*x+d)^3*(c*x^2+b*x+a),x,2,-1/4*d*(a*e^2-b*d*e+c*d^2)*(e*x+d)^4/e^4+1/5*(3*c*d^2-e*(-a*e+2*b*d))*(e*x+d)^5/e^4-1/6*(-b*e+3*c*d)*(e*x+d)^6/e^4+1/7*c*(e*x+d)^7/e^4,1],
[x*(e*x+d)^2*(c*x^2+b*x+a),x,2,1/2*a*d^2*x^2+1/3*d*(2*a*e+b*d)*x^3+1/4*(c*d^2+e*(a*e+2*b*d))*x^4+1/5*e*(b*e+2*c*d)*x^5+1/6*c*e^2*x^6,1],
[x*(e*x+d)*(c*x^2+b*x+a),x,2,1/2*a*d*x^2+1/3*(a*e+b*d)*x^3+1/4*(b*e+c*d)*x^4+1/5*c*e*x^5,1],
[x*(c*x^2+b*x+a),x,2,1/2*a*x^2+1/3*b*x^3+1/4*c*x^4,1],
[x*(c*x^2+b*x+a)/(e*x+d)^2,x,2,-(-b*e+2*c*d)*x/e^3+1/2*c*x^2/e^2+d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)+(3*c*d^2-e*(-a*e+2*b*d))*ln(e*x+d)/e^4,1],
[x*(c*x^2+b*x+a)/(e*x+d)^3,x,2,c*x/e^3+1/2*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^2-(3*c*d^2-e*(-a*e+2*b*d))/e^4/(e*x+d)-(-b*e+3*c*d)*ln(e*x+d)/e^4,1],
[x*(c*x^2+b*x+a)/(e*x+d)^4,x,2,1/3*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^3-1/2*(3*c*d^2-e*(-a*e+2*b*d))/e^4/(e*x+d)^2+(-b*e+3*c*d)/e^4/(e*x+d)+c*ln(e*x+d)/e^4,1],
[x*(c*x^2+b*x+a)/(e*x+d)^5,x,2,1/4*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^4-1/3*(3*c*d^2-e*(-a*e+2*b*d))/e^4/(e*x+d)^3+1/2*(-b*e+3*c*d)/e^4/(e*x+d)^2-c/e^4/(e*x+d),1],
[x*(c*x^2+b*x+a)/(e*x+d)^6,x,2,1/5*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^5-1/4*(3*c*d^2-e*(-a*e+2*b*d))/e^4/(e*x+d)^4+1/3*(-b*e+3*c*d)/e^4/(e*x+d)^3-1/2*c/e^4/(e*x+d)^2,1],
[x*(c*x^2+b*x+a)/(e*x+d)^7,x,2,1/6*d*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^6-1/5*(3*c*d^2-e*(-a*e+2*b*d))/e^4/(e*x+d)^5+1/4*(-b*e+3*c*d)/e^4/(e*x+d)^4-1/3*c/e^4/(e*x+d)^3,1],
[(B*x+A)*(e*x+d)^4*(c*x^2+b*x+a),x,2,-1/5*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^5/e^4+1/6*(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))*(e*x+d)^6/e^4-1/7*(-A*c*e-B*b*e+3*B*c*d)*(e*x+d)^7/e^4+1/8*B*c*(e*x+d)^8/e^4,1],
[(B*x+A)*(e*x+d)^3*(c*x^2+b*x+a),x,2,-1/4*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^4/e^4+1/5*(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))*(e*x+d)^5/e^4-1/6*(-A*c*e-B*b*e+3*B*c*d)*(e*x+d)^6/e^4+1/7*B*c*(e*x+d)^7/e^4,1],
[(B*x+A)*(e*x+d)^2*(c*x^2+b*x+a),x,2,-1/3*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^3/e^4+1/4*(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))*(e*x+d)^4/e^4-1/5*(-A*c*e-B*b*e+3*B*c*d)*(e*x+d)^5/e^4+1/6*B*c*(e*x+d)^6/e^4,1],
[(B*x+A)*(e*x+d)*(c*x^2+b*x+a),x,2,a*A*d*x+1/2*(A*a*e+A*b*d+B*a*d)*x^2+1/3*(A*b*e+A*c*d+B*a*e+B*b*d)*x^3+1/4*(A*c*e+B*b*e+B*c*d)*x^4+1/5*B*c*e*x^5,1],
[(B*x+A)*(c*x^2+b*x+a),x,2,a*A*x+1/2*(A*b+B*a)*x^2+1/3*(A*c+B*b)*x^3+1/4*B*c*x^4,1],
[(B*x+A)*(c*x^2+b*x+a)/(e*x+d),x,2,(B*c*d^2-B*e*(-a*e+b*d)-A*e*(-b*e+c*d))*x/e^3-1/2*(-A*c*e-B*b*e+B*c*d)*x^2/e^2+1/3*B*c*x^3/e-(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)*ln(e*x+d)/e^4,1],
[(B*x+A)*(c*x^2+b*x+a)/(e*x+d)^2,x,2,-(-A*c*e-B*b*e+2*B*c*d)*x/e^3+1/2*B*c*x^2/e^2+(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)+(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))*ln(e*x+d)/e^4,1],
[(B*x+A)*(c*x^2+b*x+a)/(e*x+d)^3,x,2,B*c*x/e^3+1/2*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^2-(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))/e^4/(e*x+d)-(-A*c*e-B*b*e+3*B*c*d)*ln(e*x+d)/e^4,1],
[(B*x+A)*(c*x^2+b*x+a)/(e*x+d)^4,x,2,1/3*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^3-1/2*(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))/e^4/(e*x+d)^2+(-A*c*e-B*b*e+3*B*c*d)/e^4/(e*x+d)+B*c*ln(e*x+d)/e^4,1],
[(B*x+A)*(c*x^2+b*x+a)/(e*x+d)^5,x,2,1/4*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^4-1/3*(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))/e^4/(e*x+d)^3+1/2*(-A*c*e-B*b*e+3*B*c*d)/e^4/(e*x+d)^2-B*c/e^4/(e*x+d),1],
[(B*x+A)*(c*x^2+b*x+a)/(e*x+d)^6,x,2,1/5*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^5-1/4*(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))/e^4/(e*x+d)^4+1/3*(-A*c*e-B*b*e+3*B*c*d)/e^4/(e*x+d)^3-1/2*B*c/e^4/(e*x+d)^2,1],
[(B*x+A)*(c*x^2+b*x+a)/(e*x+d)^7,x,2,1/6*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)/e^4/(e*x+d)^6-1/5*(3*B*c*d^2-B*e*(-a*e+2*b*d)-A*e*(-b*e+2*c*d))/e^4/(e*x+d)^5+1/4*(-A*c*e-B*b*e+3*B*c*d)/e^4/(e*x+d)^4-1/3*B*c/e^4/(e*x+d)^3,1],
[(B*x+A)*(e*x+d)^5*(c*x^2+b*x+a)^2,x,2,-1/6*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^6/e^6+1/7*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))*(e*x+d)^7/e^6-1/8*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))*(e*x+d)^8/e^6-1/9*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))*(e*x+d)^9/e^6-1/10*c*(-A*c*e-2*B*b*e+5*B*c*d)*(e*x+d)^10/e^6+1/11*B*c^2*(e*x+d)^11/e^6,1],
[(B*x+A)*(e*x+d)^4*(c*x^2+b*x+a)^2,x,2,-1/5*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^5/e^6+1/6*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))*(e*x+d)^6/e^6-1/7*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))*(e*x+d)^7/e^6-1/8*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))*(e*x+d)^8/e^6-1/9*c*(-A*c*e-2*B*b*e+5*B*c*d)*(e*x+d)^9/e^6+1/10*B*c^2*(e*x+d)^10/e^6,1],
[(B*x+A)*(e*x+d)^3*(c*x^2+b*x+a)^2,x,2,-1/4*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^4/e^6+1/5*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))*(e*x+d)^5/e^6-1/6*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))*(e*x+d)^6/e^6-1/7*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))*(e*x+d)^7/e^6-1/8*c*(-A*c*e-2*B*b*e+5*B*c*d)*(e*x+d)^8/e^6+1/9*B*c^2*(e*x+d)^9/e^6,1],
[(B*x+A)*(e*x+d)^2*(c*x^2+b*x+a)^2,x,2,-1/3*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^3/e^6+1/4*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))*(e*x+d)^4/e^6-1/5*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))*(e*x+d)^5/e^6-1/6*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))*(e*x+d)^6/e^6-1/7*c*(-A*c*e-2*B*b*e+5*B*c*d)*(e*x+d)^7/e^6+1/8*B*c^2*(e*x+d)^8/e^6,1],
[(B*x+A)*(e*x+d)*(c*x^2+b*x+a)^2,x,2,a^2*A*d*x+1/2*a*(A*a*e+2*A*b*d+B*a*d)*x^2+1/3*(a*B*(a*e+2*b*d)+A*(2*a*b*e+2*a*c*d+b^2*d))*x^3+1/4*(b^2*(A*e+B*d)+2*a*c*(A*e+B*d)+2*b*(A*c*d+B*a*e))*x^4+1/5*(b^2*B*e+2*b*c*(A*e+B*d)+c*(A*c*d+2*B*a*e))*x^5+1/6*c*(A*c*e+2*B*b*e+B*c*d)*x^6+1/7*B*c^2*e*x^7,1],
[(B*x+A)*(c*x^2+b*x+a)^2,x,2,a^2*A*x+1/2*a*(2*A*b+B*a)*x^2+1/3*(2*a*b*B+A*(2*a*c+b^2))*x^3+1/4*(2*A*b*c+2*B*a*c+B*b^2)*x^4+1/5*c*(A*c+2*B*b)*x^5+1/6*B*c^2*x^6,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d),x,2,-(A*e*(-b*e+c*d)*(c*d^2-e*(-2*a*e+b*d))-B*(c*d^2-e*(-a*e+b*d))^2)*x/e^5-1/2*(B*(-b*e+c*d)*(c*d^2-e*(-2*a*e+b*d))-A*e*(c^2*d^2+b^2*e^2-2*c*e*(-a*e+b*d)))*x^2/e^4-1/3*(A*c*e*(-2*b*e+c*d)-B*(c^2*d^2+b^2*e^2-2*c*e*(-a*e+b*d)))*x^3/e^3-1/4*c*(-A*c*e-2*B*b*e+B*c*d)*x^4/e^2+1/5*B*c^2*x^5/e-(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)/e^6,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^2,x,2,-(2*B*(-b*e+2*c*d)*(c*d^2-e*(-a*e+b*d))-A*e*(3*c^2*d^2+b^2*e^2-2*c*e*(-a*e+2*b*d)))*x/e^5-1/2*(2*A*c*e*(-b*e+c*d)-B*(3*c^2*d^2+b^2*e^2-2*c*e*(-a*e+2*b*d)))*x^2/e^4-1/3*c*(-A*c*e-2*B*b*e+2*B*c*d)*x^3/e^3+1/4*B*c^2*x^4/e^2+(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)+(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))*ln(e*x+d)/e^6,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^3,x,2,-(A*c*e*(-2*b*e+3*c*d)-B*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))*x/e^5-1/2*c*(-A*c*e-2*B*b*e+3*B*c*d)*x^2/e^4+1/3*B*c^2*x^3/e^3+1/2*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^2-(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))/e^6/(e*x+d)-(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))*ln(e*x+d)/e^6,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^4,x,2,-c*(-A*c*e-2*B*b*e+4*B*c*d)*x/e^5+1/2*B*c^2*x^2/e^4+1/3*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^3-1/2*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))/e^6/(e*x+d)^2+(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))/e^6/(e*x+d)-(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))*ln(e*x+d)/e^6,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^5,x,2,B*c^2*x/e^5+1/4*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^4-1/3*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))/e^6/(e*x+d)^3+1/2*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))/e^6/(e*x+d)^2+(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))/e^6/(e*x+d)-c*(-A*c*e-2*B*b*e+5*B*c*d)*ln(e*x+d)/e^6,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^6,x,2,1/5*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^5-1/4*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))/e^6/(e*x+d)^4+1/3*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))/e^6/(e*x+d)^3+1/2*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))/e^6/(e*x+d)^2+c*(-A*c*e-2*B*b*e+5*B*c*d)/e^6/(e*x+d)+B*c^2*ln(e*x+d)/e^6,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^7,x,2,1/6*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^6-1/5*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))/e^6/(e*x+d)^5+1/4*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))/e^6/(e*x+d)^4+1/3*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))/e^6/(e*x+d)^3+1/2*c*(-A*c*e-2*B*b*e+5*B*c*d)/e^6/(e*x+d)^2-B*c^2/e^6/(e*x+d),1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^8,x,2,1/7*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^7-1/6*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))/e^6/(e*x+d)^6+1/5*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))/e^6/(e*x+d)^5+1/4*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))/e^6/(e*x+d)^4+1/3*c*(-A*c*e-2*B*b*e+5*B*c*d)/e^6/(e*x+d)^3-1/2*B*c^2/e^6/(e*x+d)^2,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^9,x,2,1/8*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^2/e^6/(e*x+d)^8-1/7*(a*e^2-b*d*e+c*d^2)*(5*B*c*d^2-B*e*(-a*e+3*b*d)-2*A*e*(-b*e+2*c*d))/e^6/(e*x+d)^7+1/6*(B*(10*c^2*d^3+b*e^2*(-2*a*e+3*b*d)-6*c*d*e*(-a*e+2*b*d))-A*e*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d)))/e^6/(e*x+d)^6+1/5*(2*A*c*e*(-b*e+2*c*d)-B*(10*c^2*d^2+b^2*e^2-2*c*e*(-a*e+4*b*d)))/e^6/(e*x+d)^5+1/4*c*(-A*c*e-2*B*b*e+5*B*c*d)/e^6/(e*x+d)^4-1/3*B*c^2/e^6/(e*x+d)^3,1],
[(B*x+A)*(e*x+d)^5*(c*x^2+b*x+a)^3,x,2,-1/6*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^6/e^8+1/7*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))*(e*x+d)^7/e^8-3/8*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^8/e^8-1/9*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))*(e*x+d)^9/e^8-1/10*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^10/e^8-3/11*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))*(e*x+d)^11/e^8-1/12*c^2*(-A*c*e-3*B*b*e+7*B*c*d)*(e*x+d)^12/e^8+1/13*B*c^3*(e*x+d)^13/e^8,1],
[(B*x+A)*(e*x+d)^4*(c*x^2+b*x+a)^3,x,2,-1/5*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^5/e^8+1/6*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))*(e*x+d)^6/e^8-3/7*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^7/e^8-1/8*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))*(e*x+d)^8/e^8-1/9*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^9/e^8-3/10*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))*(e*x+d)^10/e^8-1/11*c^2*(-A*c*e-3*B*b*e+7*B*c*d)*(e*x+d)^11/e^8+1/12*B*c^3*(e*x+d)^12/e^8,1],
[(B*x+A)*(e*x+d)^3*(c*x^2+b*x+a)^3,x,2,-1/4*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^4/e^8+1/5*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))*(e*x+d)^5/e^8-1/2*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^6/e^8-1/7*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))*(e*x+d)^7/e^8-1/8*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^8/e^8-1/3*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))*(e*x+d)^9/e^8-1/10*c^2*(-A*c*e-3*B*b*e+7*B*c*d)*(e*x+d)^10/e^8+1/11*B*c^3*(e*x+d)^11/e^8,1],
[(B*x+A)*(e*x+d)^2*(c*x^2+b*x+a)^3,x,2,-1/3*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^3/e^8+1/4*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))*(e*x+d)^4/e^8-3/5*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^5/e^8-1/6*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))*(e*x+d)^6/e^8-1/7*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^7/e^8-3/8*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))*(e*x+d)^8/e^8-1/9*c^2*(-A*c*e-3*B*b*e+7*B*c*d)*(e*x+d)^9/e^8+1/10*B*c^3*(e*x+d)^10/e^8,1],
[(B*x+A)*(e*x+d)*(c*x^2+b*x+a)^3,x,2,a^3*A*d*x+1/2*a^2*(A*a*e+3*A*b*d+B*a*d)*x^2+1/3*a*(a*B*(a*e+3*b*d)+3*A*(a*b*e+a*c*d+b^2*d))*x^3+1/4*(3*a*B*(a*b*e+a*c*d+b^2*d)+A*(3*a^2*c*e+3*a*b^2*e+6*a*b*c*d+b^3*d))*x^4+1/5*(b^3*(A*e+B*d)+6*a*b*c*(A*e+B*d)+3*b^2*(A*c*d+B*a*e)+3*a*c*(A*c*d+B*a*e))*x^5+1/6*(b^3*B*e+3*b^2*c*(A*e+B*d)+3*a*c^2*(A*e+B*d)+3*b*c*(A*c*d+2*B*a*e))*x^6+1/7*c*(3*b^2*B*e+3*b*c*(A*e+B*d)+c*(A*c*d+3*B*a*e))*x^7+1/8*c^2*(A*c*e+3*B*b*e+B*c*d)*x^8+1/9*B*c^3*e*x^9,1],
[(B*x+A)*(c*x^2+b*x+a)^3,x,2,a^3*A*x+1/2*a^2*(3*A*b+B*a)*x^2+a*(a*b*B+A*(a*c+b^2))*x^3+1/4*(3*a*B*(a*c+b^2)+A*(6*a*b*c+b^3))*x^4+1/5*(3*A*a*c^2+3*A*b^2*c+6*B*a*b*c+B*b^3)*x^5+1/2*c*(A*b*c+B*a*c+B*b^2)*x^6+1/7*c^2*(A*c+3*B*b)*x^7+1/8*B*c^3*x^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d),x,2,(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))*x/e^7-3/2*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^2/e^8-1/3*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))*(e*x+d)^3/e^8-1/4*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*(e*x+d)^4/e^8-3/5*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))*(e*x+d)^5/e^8-1/6*c^2*(-A*c*e-3*B*b*e+7*B*c*d)*(e*x+d)^6/e^8+1/7*B*c^3*(e*x+d)^7/e^8-(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^2,x,2,-(3*B*(-b*e+2*c*d)*(c*d^2-e*(-a*e+b*d))^2-A*e*(5*c^3*d^4-b^2*e^3*(-3*a*e+2*b*d)-3*c^2*d^2*e*(-3*a*e+4*b*d)+3*c*e^2*(a^2*e^2-4*a*b*d*e+3*b^2*d^2)))*x/e^7-1/2*(A*e*(-b*e+c*d)*(4*c^2*d^2+b^2*e^2-c*e*(-6*a*e+5*b*d))-B*(5*c^3*d^4-b^2*e^3*(-3*a*e+2*b*d)-3*c^2*d^2*e*(-3*a*e+4*b*d)+3*c*e^2*(a^2*e^2-4*a*b*d*e+3*b^2*d^2)))*x^2/e^6-1/3*(B*(-b*e+c*d)*(4*c^2*d^2+b^2*e^2-c*e*(-6*a*e+5*b*d))-3*A*c*e*(c^2*d^2+b^2*e^2-c*e*(-a*e+2*b*d)))*x^3/e^5-1/4*c*(A*c*e*(-3*b*e+2*c*d)-3*B*(c^2*d^2+b^2*e^2-c*e*(-a*e+2*b*d)))*x^4/e^4-1/5*c^2*(-A*c*e-3*B*b*e+2*B*c*d)*x^5/e^3+1/6*B*c^3*x^6/e^2+(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)+(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^3,x,2,-(A*e*(10*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+3*b*d)-9*c^2*d*e*(-a*e+2*b*d))-3*B*(5*c^3*d^4-2*c^2*d^2*e*(-3*a*e+5*b*d)-b^2*e^3*(-a*e+b*d)+c*e^2*(a^2*e^2-6*a*b*d*e+6*b^2*d^2)))*x/e^7-1/2*(B*(10*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+3*b*d)-9*c^2*d*e*(-a*e+2*b*d))-3*A*c*e*(2*c^2*d^2+b^2*e^2-c*e*(-a*e+3*b*d)))*x^2/e^6-c*(A*c*e*(-b*e+c*d)-B*(2*c^2*d^2+b^2*e^2-c*e*(-a*e+3*b*d)))*x^3/e^5-1/4*c^2*(-A*c*e-3*B*b*e+3*B*c*d)*x^4/e^4+1/5*B*c^3*x^5/e^3+1/2*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^2-(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)-3*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^4,x,2,-(B*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-A*c*e*(10*c^2*d^2+3*b^2*e^2-3*c*e*(-a*e+4*b*d)))*x/e^7-1/2*c*(A*c*e*(-3*b*e+4*c*d)-B*(10*c^2*d^2+3*b^2*e^2-3*c*e*(-a*e+4*b*d)))*x^2/e^6-1/3*c^2*(-A*c*e-3*B*b*e+4*B*c*d)*x^3/e^5+1/4*B*c^3*x^4/e^4+1/3*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^3-1/2*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^2+3*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)-(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^5,x,2,-c*(A*c*e*(-3*b*e+5*c*d)-3*B*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*x/e^7-1/2*c^2*(-A*c*e-3*B*b*e+5*B*c*d)*x^2/e^6+1/3*B*c^3*x^3/e^5+1/4*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^4-1/3*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^3+3/2*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^2+(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))/e^8/(e*x+d)-(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^6,x,2,-c^2*(-A*c*e-3*B*b*e+6*B*c*d)*x/e^7+1/2*B*c^3*x^2/e^6+1/5*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^5-1/4*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^4+(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^3+1/2*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))/e^8/(e*x+d)^2+(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)-3*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^7,x,2,B*c^3*x/e^7+1/6*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^6-1/5*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^5+3/4*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^4+1/3*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))/e^8/(e*x+d)^3+1/2*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^2+3*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))/e^8/(e*x+d)-c^2*(-A*c*e-3*B*b*e+7*B*c*d)*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^8,x,2,1/7*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^7-1/6*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^6+3/5*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^5+1/4*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))/e^8/(e*x+d)^4+1/3*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^3+3/2*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))/e^8/(e*x+d)^2+c^2*(-A*c*e-3*B*b*e+7*B*c*d)/e^8/(e*x+d)+B*c^3*ln(e*x+d)/e^8,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^9,x,2,1/8*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^8-1/7*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^7+1/2*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^6+1/5*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))/e^8/(e*x+d)^5+1/4*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^4+c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))/e^8/(e*x+d)^3+1/2*c^2*(-A*c*e-3*B*b*e+7*B*c*d)/e^8/(e*x+d)^2-B*c^3/e^8/(e*x+d),1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^10,x,2,1/9*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^9-1/8*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^8+3/7*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^7+1/6*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))/e^8/(e*x+d)^6+1/5*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^5+3/4*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))/e^8/(e*x+d)^4+1/3*c^2*(-A*c*e-3*B*b*e+7*B*c*d)/e^8/(e*x+d)^3-1/2*B*c^3/e^8/(e*x+d)^2,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^11,x,2,1/10*(-A*e+B*d)*(a*e^2-b*d*e+c*d^2)^3/e^8/(e*x+d)^10-1/9*(a*e^2-b*d*e+c*d^2)^2*(7*B*c*d^2-B*e*(-a*e+4*b*d)-3*A*e*(-b*e+2*c*d))/e^8/(e*x+d)^9+3/8*(a*e^2-b*d*e+c*d^2)*(B*(7*c^2*d^3-c*d*e*(-3*a*e+8*b*d)+b*e^2*(-a*e+2*b*d))-A*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^8+1/7*(A*e*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))-B*(35*c^3*d^4-b^2*e^3*(-3*a*e+4*b*d)-30*c^2*d^2*e*(-a*e+2*b*d)+3*c*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2)))/e^8/(e*x+d)^7+1/6*(B*(35*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+5*b*d)-15*c^2*d*e*(-a*e+3*b*d))-3*A*c*e*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d)))/e^8/(e*x+d)^6+3/5*c*(A*c*e*(-b*e+2*c*d)-B*(7*c^2*d^2+b^2*e^2-c*e*(-a*e+6*b*d)))/e^8/(e*x+d)^5+1/4*c^2*(-A*c*e-3*B*b*e+7*B*c*d)/e^8/(e*x+d)^4-1/3*B*c^3/e^8/(e*x+d)^3,1],
[(e*x+d)^3*(g*x+f)/(c*x^2+b*x+a),x,6,e*(b^2*e^2*g+3*c^2*d*(d*g+e*f)-c*e*(a*e*g+3*b*d*g+b*e*f))*x/c^3+1/2*e^2*(-b*e*g+3*c*d*g+c*e*f)*x^2/c^2+1/3*e^3*g*x^3/c-(2*c^4*d^3*f+b^4*e^3*g-b^2*c*e^2*(4*a*e*g+3*b*d*g+b*e*f)-c^3*d*(6*a*e*(d*g+e*f)+b*d*(d*g+3*e*f))+c^2*e*(2*a^2*e^2*g+3*b^2*d*(d*g+e*f)+3*a*b*e*(3*d*g+e*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^4/sqrt(-4*a*c+b^2)-1/2*(b^3*e^3*g-c^3*d^2*(d*g+3*e*f)-b*c*e^2*(2*a*e*g+3*b*d*g+b*e*f)+c^2*e*(3*b*d*(d*g+e*f)+a*e*(3*d*g+e*f)))*ln(c*x^2+b*x+a)/c^4,1],
[(e*x+d)^2*(g*x+f)/(c*x^2+b*x+a),x,6,e*(-b*e*g+2*c*d*g+c*e*f)*x/c^2+1/2*e^2*g*x^2/c-(2*c^3*d^2*f-b^3*e^2*g+b*c*e*(3*a*e*g+2*b*d*g+b*e*f)-c^2*(b*d*(d*g+2*e*f)+2*a*e*(2*d*g+e*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/2*(b^2*e^2*g+c^2*d*(d*g+2*e*f)-c*e*(a*e*g+2*b*d*g+b*e*f))*ln(c*x^2+b*x+a)/c^3,1],
[(e*x+d)*(g*x+f)/(c*x^2+b*x+a),x,6,e*g*x/c-(2*c^2*d*f+b^2*e*g-c*(2*a*e*g+b*d*g+b*e*f))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)+1/2*(-b*e*g+c*d*g+c*e*f)*ln(c*x^2+b*x+a)/c^2,1],
[(g*x+f)/(c*x^2+b*x+a),x,4,-(-b*g+2*c*f)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/2*g*ln(c*x^2+b*x+a)/c,1],
[(g*x+f)/(e*x+d)/(c*x^2+b*x+a),x,6,-(2*a*e*g-b*d*g-b*e*f+2*c*d*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)+(-d*g+e*f)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)-(-d*g+e*f)*ln(c*x^2+b*x+a)/(2*a*e^2-2*b*d*e+2*c*d^2),1],
[(g*x+f)/(e*x+d)^2/(c*x^2+b*x+a),x,6,-(-d*g+e*f)/(a*e^2-b*d*e+c*d^2)/(e*x+d)-(2*c^2*d^2*f+b*e^2*(-a*g+b*f)-c*(2*a*e*(-2*d*g+e*f)+b*d*(d*g+2*e*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-(e^2*(-a*g+b*f)-c*d*(-d*g+2*e*f))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2+1/2*(e^2*(-a*g+b*f)-c*d*(-d*g+2*e*f))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[(g*x+f)/(e*x+d)^3/(c*x^2+b*x+a),x,6,-1/2*(-d*g+e*f)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+(e^2*(-a*g+b*f)-c*d*(-d*g+2*e*f))/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-(2*c^3*d^3*f-b^2*e^3*(-a*g+b*f)+c*e^2*(-2*a^2*e*g-3*a*b*d*g+3*a*b*e*f+3*b^2*d*f)-c^2*d*(6*a*e*(-d*g+e*f)+b*d*(d*g+3*e*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+(b*e^3*(-a*g+b*f)+c^2*d^2*(-d*g+3*e*f)-c*e^2*(-3*a*d*g+a*e*f+3*b*d*f))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3-1/2*(b*e^3*(-a*g+b*f)+c^2*d^2*(-d*g+3*e*f)-c*e^2*(-3*a*d*g+a*e*f+3*b*d*f))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(e*x+d)^4*(g*x+f)/(c*x^2+b*x+a)^2,x,7,e^2*(12*c^3*d^2*f-3*b^3*e^2*g+b*c*e*(11*a*e*g+8*b*d*g+2*b*e*f)-2*c^2*(b*d*(3*d*g+2*e*f)+3*a*e*(4*d*g+e*f)))*x/c^3/(-4*a*c+b^2)+1/2*e^3*(16*c^2*d*f+3*b^2*e*g-2*c*(4*a*e*g+4*b*d*g+b*e*f))*x^2/c^2/(-4*a*c+b^2)+e^4*(-b*g+2*c*f)*x^3/c/(-4*a*c+b^2)-(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)+(4*c^5*d^4*f+3*b^5*e^4*g-2*b^3*c*e^3*(10*a*e*g+4*b*d*g+b*e*f)-2*c^4*d^2*(b*d*(d*g+4*e*f)-4*a*e*(2*d*g+3*e*f))-12*a*c^3*e^2*(b*d*(3*d*g+2*e*f)+a*e*(4*d*g+e*f))+2*b*c^2*e^2*(15*a^2*e^2*g+b^2*d*(3*d*g+2*e*f)+6*a*b*e*(4*d*g+e*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^4/(-4*a*c+b^2)^(3/2)+1/2*e^2*(3*b^2*e^2*g+2*c^2*d*(3*d*g+2*e*f)-2*c*e*(a*e*g+4*b*d*g+b*e*f))*ln(c*x^2+b*x+a)/c^4,1],
[(e*x+d)^3*(g*x+f)/(c*x^2+b*x+a)^2,x,7,e^2*(6*c^2*d*f+2*b^2*e*g-c*(6*a*e*g+3*b*d*g+b*e*f))*x/c^2/(-4*a*c+b^2)+e^3*(-b*g+2*c*f)*x^2/c/(-4*a*c+b^2)-(e*x+d)^3*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+(4*c^4*d^3*f-2*b^4*e^3*g-6*a*c^2*e^2*(2*a*e*g+3*b*d*g+b*e*f)+b^2*c*e^2*(12*a*e*g+3*b*d*g+b*e*f)+2*c^3*d*(6*a*e*(d*g+e*f)-b*d*(d*g+3*e*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*(-2*b*e*g+3*c*d*g+c*e*f)*ln(c*x^2+b*x+a)/c^3,1],
[(e*x+d)^2*(g*x+f)/(c*x^2+b*x+a)^2,x,7,e^2*(-b*g+2*c*f)*x/c/(-4*a*c+b^2)-(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)+(4*c^3*d^2*f+b^3*e^2*g-6*a*b*c*e^2*g-c^2*(2*b*d*(d*g+2*e*f)-4*a*e*(2*d*g+e*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/2*e^2*g*ln(c*x^2+b*x+a)/c^2,1],
[(e*x+d)*(g*x+f)/(c*x^2+b*x+a)^2,x,4,-(e*x+d)*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(g*x+f)/(c*x^2+b*x+a)^2,x,3,-(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*(-b*g+2*c*f)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(g*x+f)/(e*x+d)/(c*x^2+b*x+a)^2,x,7,-(b*c*d*f-b^2*e*f+2*a*c*e*f-2*a*c*d*g+a*b*e*g+c*(2*c*d*f+2*a*e*g-b*(d*g+e*f))*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^3*e^2*(-d*g+e*f)+2*c^2*d*(2*a*e*(-d*g+3*e*f)-b*d*(d*g+3*e*f))+2*c*e*(2*b^2*d^2*g+2*a^2*e^2*g-a*b*e*(d*g+3*e*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^2*(-d*g+e*f)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2-1/2*e^2*(-d*g+e*f)*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[(g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^2,x,8,-e^2*(-d*g+e*f)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-(b^3*e^2*f-b^2*e*(a*e*g+2*c*d*f)+b*c*(c*d^2*f-a*e*(-2*d*g+3*e*f))+2*a*c*(a*e^2*g+c*d*(-d*g+2*e*f))+c*(2*c^2*d^2*f+b*e^2*(-a*g+b*f)-c*(2*a*e*(-2*d*g+e*f)+b*d*(d*g+2*e*f)))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)+(4*c^4*d^4*f-b^3*e^3*(-a*e*g-b*d*g+2*b*e*f)-6*c^2*(4*a*b*d*e^3*f-b^2*d^3*e*g+2*a^2*e^3*(-2*d*g+e*f))-b*c*e^2*(6*a^2*e^2*g-b^2*d*(-3*d*g+4*e*f)-6*a*b*e*(-d*g+2*e*f))+2*c^3*d^2*(4*a*e*(-d*g+3*e*f)-b*d*(d*g+4*e*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^2*(c*d*(-3*d*g+4*e*f)-e*(-a*e*g-b*d*g+2*b*e*f))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3-1/2*e^2*(c*d*(-3*d*g+4*e*f)-e*(-a*e*g-b*d*g+2*b*e*f))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(g*x+f)/(e*x+d)^3/(c*x^2+b*x+a)^2,x,7,-1/2*e^2*(-d*g+e*f)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-e^2*(c*d*(-3*d*g+4*e*f)-e*(-a*e*g-b*d*g+2*b*e*f))/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)+(b^4*e^3*f-b^3*e^2*(a*e*g+3*c*d*f)+b^2*c*e*(3*c*d^2*f-a*e*(-3*d*g+4*e*f))+2*a*c^2*(a*e^2*(-3*d*g+e*f)-c*d^2*(-d*g+3*e*f))-b*c*(c^2*d^3*f-3*a^2*e^3*g-3*a*c*d*e*(-d*g+3*e*f))-c*(2*c^3*d^3*f-b^2*e^3*(-a*g+b*f)+c*e^2*(3*b^2*d*f-2*a^2*e*g+3*a*b*(-d*g+e*f))-c^2*d*(6*a*e*(-d*g+e*f)+b*d*(d*g+3*e*f)))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)+(4*c^5*d^5*f+b^4*e^4*(-2*a*e*g-b*d*g+3*b*e*f)+2*b^2*c*e^3*(6*a^2*e^2*g-2*a*b*e*(-3*d*g+5*e*f)-b^2*d*(-2*d*g+5*e*f))-2*c^2*e^2*(6*a^3*e^3*g-3*a^2*b*e^2*(-7*d*g+5*e*f)-b^3*d^2*(-3*d*g+5*e*f)-6*a*b^2*d*e*(-2*d*g+5*e*f))+4*c^3*d*e*(2*b^2*d^3*g-3*a^2*e^2*(-6*d*g+5*e*f)-a*b*d*e*(-d*g+15*e*f))+2*c^4*d^3*(2*a*e*(-3*d*g+10*e*f)-b*d*(d*g+5*e*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)^4+e^2*(2*c^2*d^2*(-3*d*g+5*e*f)+b*e^2*(-2*a*e*g-b*d*g+3*b*e*f)-2*c*e*(a*e*(-3*d*g+e*f)+b*d*(-2*d*g+5*e*f)))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^4-1/2*e^2*(2*c^2*d^2*(-3*d*g+5*e*f)+b*e^2*(-2*a*e*g-b*d*g+3*b*e*f)-2*c*e*(a*e*(-3*d*g+e*f)+b*d*(-2*d*g+5*e*f)))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^4,1],
[(e*x+d)^4*(g*x+f)/(c*x^2+b*x+a)^3,x,8,-e^2*(18*c^3*d^2*f+b^3*e^2*g-7*a*b*c*e^2*g-3*c^2*(b*d*(3*d*g+4*e*f)-2*a*e*(4*d*g+e*f)))*x/c^2/(-4*a*c+b^2)^2-1/2*e^3*(12*c^2*d*f-b^2*e*g+16*a*c*e*g-6*b*c*(d*g+e*f))*x^2/c/(-4*a*c+b^2)^2-1/2*(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)^2+1/2*(e*x+d)^3*(4*a*c*e*f-b^2*(3*d*g+4*e*f)+6*b*(a*e*g+c*d*f)+(12*c^2*d*f-b^2*e*g+16*a*c*e*g-6*b*c*(d*g+e*f))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-(12*c^5*d^4*f-b^5*e^4*g+10*a*b^3*c*e^4*g-30*a^2*b*c^2*e^4*g-2*c^4*d^2*(3*b*d*(d*g+4*e*f)-4*a*e*(2*d*g+3*e*f))+4*c^3*e*(b^2*d^2*(2*d*g+3*e*f)-3*a*b*d*e*(3*d*g+2*e*f)+3*a^2*e^2*(4*d*g+e*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(5/2)+1/2*e^4*g*ln(c*x^2+b*x+a)/c^3,1],
[(e*x+d)^3*(g*x+f)/(c*x^2+b*x+a)^3,x,4,-1/2*(e*x+d)^3*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+3/2*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-6*(a*e^2-b*d*e+c*d^2)*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(e*x+d)^2*(g*x+f)/(c*x^2+b*x+a)^3,x,5,-1/2*(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)^2-1/2*(e*x+d)*(4*a*c*e*f+b^2*(3*d*g+2*e*f)-6*b*(a*e*g+c*d*f)-(12*c^2*d*f+b^2*e*g+8*a*c*e*g-6*b*c*(d*g+e*f))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-2*(6*c^2*d^2*f-3*b*c*d*(d*g+2*e*f)+2*a*c*e*(2*d*g+e*f)+b*e*(-3*a*e*g+2*b*d*g+b*e*f))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(e*x+d)*(g*x+f)/(c*x^2+b*x+a)^3,x,4,-1/2*(e*x+d)*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2-1/2*(8*a*c*e*f+b^2*(3*d*g+e*f)-6*b*(a*e*g+c*d*f)-2*(6*c^2*d*f+b^2*e*g+2*a*c*e*g-3*b*c*(d*g+e*f))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-2*(6*c^2*d*f+b^2*e*g+2*a*c*e*g-3*b*c*(d*g+e*f))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(g*x+f)/(c*x^2+b*x+a)^3,x,4,-1/2*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+3/2*(-b*g+2*c*f)*(2*c*x+b)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-6*c*(-b*g+2*c*f)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(g*x+f)/(e*x+d)/(c*x^2+b*x+a)^3,x,8,-1/2*(b*c*d*f-b^2*e*f+2*a*c*e*f-2*a*c*d*g+a*b*e*g+c*(2*c*d*f+2*a*e*g-b*(d*g+e*f))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^2-1/2*(3*a*c*e*(-b*e+2*c*d)*(2*c*d*f+2*a*e*g-b*(d*g+e*f))-(2*a*c*e-b^2*e+b*c*d)*(6*c^2*d^2*f-2*b^2*e*(-d*g+e*f)+2*a*c*e*(-d*g+4*e*f)-3*b*c*d*(d*g+e*f))+c*(3*c*e*(-2*a*e+b*d)*(2*c*d*f+2*a*e*g-b*(d*g+e*f))-(-b*e+2*c*d)*(6*c^2*d^2*f-2*b^2*e*(-d*g+e*f)+2*a*c*e*(-d*g+4*e*f)-3*b*c*d*(d*g+e*f)))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)-(12*c^5*d^5*f-b^5*e^4*(-d*g+e*f)+10*a*b^3*c*e^4*(-d*g+e*f)+2*c^4*d^3*(2*a*e*(-d*g+10*e*f)-3*b*d*(d*g+5*e*f))-6*c^2*e^2*(2*b^3*d^3*g-6*a*b^2*d^2*e*g-2*a^3*e^3*g+a^2*b*e^2*(d*g+5*e*f))+4*c^3*d*e*(3*a^2*e^2*(-2*d*g+5*e*f)-3*a*b*d*e*(d*g+5*e*f)+b^2*d^2*(4*d*g+5*e*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/(a*e^2-b*d*e+c*d^2)^3+e^4*(-d*g+e*f)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3-1/2*e^4*(-d*g+e*f)*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^3,x,8,e*(6*c^4*d^4*f-b^3*e^3*(-a*e*g-2*b*d*g+3*b*e*f)-b*c*e^2*(7*a^2*e^2*g-a*b*e*(-13*d*g+21*e*f)-3*b^2*d*(-d*g+e*f))+c^3*d^2*(4*a*e*(-d*g+6*e*f)-3*b*d*(d*g+4*e*f))-c^2*e*(2*a^2*e^2*(-22*d*g+15*e*f)+6*a*b*d*e*(d*g+4*e*f)-b^2*d^2*(7*d*g+3*e*f)))/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)-1/2*(b^3*e^2*f-b^2*e*(a*e*g+2*c*d*f)+b*c*(c*d^2*f-a*e*(-2*d*g+3*e*f))+2*a*c*(a*e^2*g+c*d*(-d*g+2*e*f))+c*(2*c^2*d^2*f+b*e^2*(-a*g+b*f)-c*(2*a*e*(-2*d*g+e*f)+b*d*(d*g+2*e*f)))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^2+1/2*(2*b^4*e^2*(-d*g+2*e*f)-4*a*c^2*e*(3*c*d^2*f-a*e*(-10*d*g+7*e*f))-b^3*(2*a*e^3*g+c*d*e*(-4*d*g+3*e*f))-b^2*c*(a*e^2*(-9*d*g+26*e*f)+3*c*d^2*(d*g+2*e*f))+2*b*c*(3*c^2*d^3*f+7*a^2*e^3*g+a*c*d*e*(d*g+15*e*f))+c*(12*c^3*d^3*f+b^2*e^2*(-a*e*g-2*b*d*g+3*b*e*f)+2*c^2*d*(2*a*e*(-2*d*g+9*e*f)-3*b*d*(d*g+3*e*f))+c*e*(11*b^2*d^2*g+16*a^2*e^2*g-2*a*b*e*(5*d*g+9*e*f)))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)/(c*x^2+b*x+a)-(12*c^6*d^6*f+b^5*e^5*(-a*e*g-2*b*d*g+3*b*e*f)+b^3*c*e^4*(10*a^2*e^2*g-b^2*d*(-5*d*g+6*e*f)-10*a*b*e*(-2*d*g+3*e*f))-10*a*b*c^2*e^4*(3*a^2*e^2*g-b^2*d*(-5*d*g+6*e*f)-3*a*b*e*(-2*d*g+3*e*f))-10*c^3*e^2*(2*b^3*d^4*g-8*a*b^2*d^3*e*g+6*a^3*e^3*(-2*d*g+e*f)+3*a^2*b*d*e^2*(-d*g+6*e*f))+2*c^5*d^4*(2*a*e*(-2*d*g+15*e*f)-3*b*d*(d*g+6*e*f))+10*c^4*d^2*e*(2*a^2*e^2*(-4*d*g+9*e*f)-a*b*d*e*(d*g+12*e*f)+b^2*d^2*(2*d*g+3*e*f)))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/(a*e^2-b*d*e+c*d^2)^4+e^4*(c*d*(-5*d*g+6*e*f)-e*(-a*e*g-2*b*d*g+3*b*e*f))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^4-1/2*e^4*(c*d*(-5*d*g+6*e*f)-e*(-a*e*g-2*b*d*g+3*b*e*f))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^4,1],
[(5-x)*(3+2*x)^5/(3*x^2+5*x+2),x,2,122518/243*x+21980/81*x^2+4912/81*x^3-20/9*x^4-32/15*x^5-6*ln(1+x)+53125/729*ln(2+3*x),1],
[(5-x)*(3+2*x)^4/(3*x^2+5*x+2),x,2,11576/81*x+1156/27*x^2+32/27*x^3-4/3*x^4-6*ln(1+x)+10625/243*ln(2+3*x),1],
[(5-x)*(3+2*x)^3/(3*x^2+5*x+2),x,2,922/27*x+26/9*x^2-8/9*x^3-6*ln(1+x)+2125/81*ln(2+3*x),1],
[(5-x)*(3+2*x)^2/(3*x^2+5*x+2),x,2,44/9*x-2/3*x^2-6*ln(1+x)+425/27*ln(2+3*x),1],
[(5-x)*(3+2*x)/(3*x^2+5*x+2),x,2,-2/3*x-6*ln(1+x)+85/9*ln(2+3*x),1],
[(5-x)/(3*x^2+5*x+2),x,2,-6*ln(1+x)+17/3*ln(2+3*x),1],
[(5-x)/(3+2*x)/(3*x^2+5*x+2),x,2,-6*ln(1+x)+13/5*ln(3+2*x)+17/5*ln(2+3*x),1],
[(5-x)/(3+2*x)^2/(3*x^2+5*x+2),x,2,-13/(15+10*x)-6*ln(1+x)+99/25*ln(3+2*x)+51/25*ln(2+3*x),1],
[(5-x)/(3+2*x)^3/(3*x^2+5*x+2),x,2,-13/10/(3+2*x)^2-99/(75+50*x)-6*ln(1+x)+597/125*ln(3+2*x)+153/125*ln(2+3*x),1],
[(5-x)/(3+2*x)^4/(3*x^2+5*x+2),x,2,-13/15/(3+2*x)^3-99/50/(3+2*x)^2-597/(375+250*x)-6*ln(1+x)+3291/625*ln(3+2*x)+459/625*ln(2+3*x),1],
[(5-x)*(3+2*x)^6/(3*x^2+5*x+2)^2,x,2,82256/243*x+1688/27*x^2-128/81*x^3-16/9*x^4-6/(1+x)-265625/(1458+2187*x)+107*ln(1+x)+90625/729*ln(2+3*x),1],
[(5-x)*(3+2*x)^5/(3*x^2+5*x+2)^2,x,2,1568/27*x+40/27*x^2-32/27*x^3-6/(1+x)-53125/(486+729*x)+95*ln(1+x)-3125/243*ln(2+3*x),1],
[(5-x)*(3+2*x)^4/(3*x^2+5*x+2)^2,x,2,112/27*x-8/9*x^2-6/(1+x)-10625/(162+243*x)+83*ln(1+x)-1625/27*ln(2+3*x),1],
[(5-x)*(3+2*x)^3/(3*x^2+5*x+2)^2,x,2,-8/9*x-6/(1+x)-2125/(54+81*x)+71*ln(1+x)-1825/27*ln(2+3*x),1],
[(5-x)*(3+2*x)^2/(3*x^2+5*x+2)^2,x,2,-6/(1+x)-425/(18+27*x)+59*ln(1+x)-535/9*ln(2+3*x),1],
[(5-x)*(3+2*x)/(3*x^2+5*x+2)^2,x,2,-6/(1+x)-85/(6+9*x)+47*ln(1+x)-47*ln(2+3*x),1],
[(5-x)/(3*x^2+5*x+2)^2,x,2,-6/(1+x)-17/(2+3*x)+35*ln(1+x)-35*ln(2+3*x),1],
[(5-x)/(3+2*x)/(3*x^2+5*x+2)^2,x,2,-6/(1+x)-51/(10+15*x)+23*ln(1+x)+52/25*ln(3+2*x)-627/25*ln(2+3*x),1],
[(5-x)/(3+2*x)^2/(3*x^2+5*x+2)^2,x,2,-6/(1+x)-52/(75+50*x)-153/(50+75*x)+11*ln(1+x)+812/125*ln(3+2*x)-2187/125*ln(2+3*x),1],
[(5-x)/(3+2*x)^3/(3*x^2+5*x+2)^2,x,2,-6/(1+x)-26/25/(3+2*x)^2-812/(375+250*x)-459/(250+375*x)-ln(1+x)+8104/625*ln(3+2*x)-7479/625*ln(2+3*x),1],
[(5-x)/(3+2*x)^4/(3*x^2+5*x+2)^2,x,2,-6/(1+x)-52/75/(3+2*x)^3-406/125/(3+2*x)^2-8104/(1875+1250*x)-1377/(1250+1875*x)-13*ln(1+x)+65816/3125*ln(3+2*x)-25191/3125*ln(2+3*x),1],
[(5-x)*(3+2*x)^7/(3*x^2+5*x+2)^3,x,2,6944/81*x-32/27*x^2-128/81*x^3+3/(1+x)^2+137/(1+x)-1328125/1458/(2+3*x)^2+343750/(1458+2187*x)-1561*ln(1+x)+1290625/729*ln(2+3*x),1],
[(5-x)*(3+2*x)^6/(3*x^2+5*x+2)^3,x,2,64/27*x-32/27*x^2+3/(1+x)^2+125/(1+x)-265625/486/(2+3*x)^2+175000/(486+729*x)-1311*ln(1+x)+109375/81*ln(2+3*x),1],
[(5-x)*(3+2*x)^5/(3*x^2+5*x+2)^3,x,2,-32/27*x+3/(1+x)^2+113/(1+x)-53125/162/(2+3*x)^2+6250/(18+27*x)-1085*ln(1+x)+29375/27*ln(2+3*x),1],
[(5-x)*(3+2*x)^4/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+101/(1+x)-10625/54/(2+3*x)^2+15500/(54+81*x)-883*ln(1+x)+23825/27*ln(2+3*x),1],
[(5-x)*(3+2*x)^3/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+89/(1+x)-2125/18/(2+3*x)^2+3950/(18+27*x)-705*ln(1+x)+705*ln(2+3*x),1],
[(5-x)*(3+2*x)^2/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+77/(1+x)-425/6/(2+3*x)^2+320/(2+3*x)-551*ln(1+x)+551*ln(2+3*x),1],
[(5-x)*(3+2*x)/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+65/(1+x)-85/2/(2+3*x)^2+226/(2+3*x)-421*ln(1+x)+421*ln(2+3*x),1],
[(5-x)/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+53/(1+x)-51/2/(2+3*x)^2+156/(2+3*x)-315*ln(1+x)+315*ln(2+3*x),1],
[(5-x)/(3+2*x)/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+41/(1+x)-153/10/(2+3*x)^2+2646/(50+75*x)-233*ln(1+x)+208/125*ln(3+2*x)+28917/125*ln(2+3*x),1],
[(5-x)/(3+2*x)^2/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+29/(1+x)-208/(375+250*x)-459/50/(2+3*x)^2+8856/(250+375*x)-175*ln(1+x)+4912/625*ln(3+2*x)+104463/625*ln(2+3*x),1],
[(5-x)/(3+2*x)^3/(3*x^2+5*x+2)^3,x,2,3/(1+x)^2+17/(1+x)-104/125/(3+2*x)^2-4912/(1875+1250*x)-1377/250/(2+3*x)^2+29322/(1250+1875*x)-141*ln(1+x)+68592/3125*ln(3+2*x)+372033/3125*ln(2+3*x),1],
[(5-x)*(3+2*x)^(7/2)*(3*x^2+5*x+2),x,2,65/72*(3+2*x)^(9/2)-109/88*(3+2*x)^(11/2)+47/104*(3+2*x)^(13/2)-1/40*(3+2*x)^(15/2),1],
[(5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2),x,2,65/56*(3+2*x)^(7/2)-109/72*(3+2*x)^(9/2)+47/88*(3+2*x)^(11/2)-3/104*(3+2*x)^(13/2),1],
[(5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2),x,2,13/8*(3+2*x)^(5/2)-109/56*(3+2*x)^(7/2)+47/72*(3+2*x)^(9/2)-3/88*(3+2*x)^(11/2),1],
[(5-x)*sqrt(3+2*x)*(3*x^2+5*x+2),x,2,65/24*(3+2*x)^(3/2)-109/40*(3+2*x)^(5/2)+47/56*(3+2*x)^(7/2)-1/24*(3+2*x)^(9/2),1],
[(5-x)*(3*x^2+5*x+2)/sqrt(3+2*x),x,2,65/8*sqrt(3+2*x)-109/24*(3+2*x)^(3/2)+47/40*(3+2*x)^(5/2)-3/56*(3+2*x)^(7/2),1],
[(5-x)*(3*x^2+5*x+2)/(3+2*x)^(3/2),x,2,-65/8/sqrt(3+2*x)-109/8*sqrt(3+2*x)+47/24*(3+2*x)^(3/2)-3/40*(3+2*x)^(5/2),1],
[(5-x)*(3*x^2+5*x+2)/(3+2*x)^(5/2),x,2,-65/24/(3+2*x)^(3/2)+109/8/sqrt(3+2*x)+47/8*sqrt(3+2*x)-1/8*(3+2*x)^(3/2),1],
[(5-x)*(3*x^2+5*x+2)/(3+2*x)^(7/2),x,2,-13/8/(3+2*x)^(5/2)+109/24/(3+2*x)^(3/2)-47/8/sqrt(3+2*x)-3/8*sqrt(3+2*x),1],
[(5-x)*(3+2*x)^(7/2)*(3*x^2+5*x+2)^2,x,2,325/288*(3+2*x)^(9/2)-1065/352*(3+2*x)^(11/2)+651/208*(3+2*x)^(13/2)-359/240*(3+2*x)^(15/2)+165/544*(3+2*x)^(17/2)-9/608*(3+2*x)^(19/2),1],
[(5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^2,x,2,325/224*(3+2*x)^(7/2)-355/96*(3+2*x)^(9/2)+651/176*(3+2*x)^(11/2)-359/208*(3+2*x)^(13/2)+11/32*(3+2*x)^(15/2)-9/544*(3+2*x)^(17/2),1],
[(5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^2,x,2,65/32*(3+2*x)^(5/2)-1065/224*(3+2*x)^(7/2)+217/48*(3+2*x)^(9/2)-359/176*(3+2*x)^(11/2)+165/416*(3+2*x)^(13/2)-3/160*(3+2*x)^(15/2),1],
[(5-x)*sqrt(3+2*x)*(3*x^2+5*x+2)^2,x,2,325/96*(3+2*x)^(3/2)-213/32*(3+2*x)^(5/2)+93/16*(3+2*x)^(7/2)-359/144*(3+2*x)^(9/2)+15/32*(3+2*x)^(11/2)-9/416*(3+2*x)^(13/2),1],
[(5-x)*(3*x^2+5*x+2)^2/sqrt(3+2*x),x,2,325/32*sqrt(3+2*x)-355/32*(3+2*x)^(3/2)+651/80*(3+2*x)^(5/2)-359/112*(3+2*x)^(7/2)+55/96*(3+2*x)^(9/2)-9/352*(3+2*x)^(11/2),1],
[(5-x)*(3*x^2+5*x+2)^2/(3+2*x)^(3/2),x,2,-325/32/sqrt(3+2*x)-1065/32*sqrt(3+2*x)+217/16*(3+2*x)^(3/2)-359/80*(3+2*x)^(5/2)+165/224*(3+2*x)^(7/2)-1/32*(3+2*x)^(9/2),1],
[(5-x)*(3*x^2+5*x+2)^2/(3+2*x)^(5/2),x,2,-325/96/(3+2*x)^(3/2)+1065/32/sqrt(3+2*x)+651/16*sqrt(3+2*x)-359/48*(3+2*x)^(3/2)+33/32*(3+2*x)^(5/2)-9/224*(3+2*x)^(7/2),1],
[(5-x)*(3*x^2+5*x+2)^2/(3+2*x)^(7/2),x,2,-65/32/(3+2*x)^(5/2)+355/32/(3+2*x)^(3/2)-651/16/sqrt(3+2*x)-359/16*sqrt(3+2*x)+55/32*(3+2*x)^(3/2)-9/160*(3+2*x)^(5/2),1],
[(5-x)*(3+2*x)^(7/2)*(3*x^2+5*x+2)^3,x,2,1625/1152*(3+2*x)^(9/2)-7925/1408*(3+2*x)^(11/2)+16005/1664*(3+2*x)^(13/2)-17201/1920*(3+2*x)^(15/2)+10475/2176*(3+2*x)^(17/2)-3519/2432*(3+2*x)^(19/2)+27/128*(3+2*x)^(21/2)-27/2944*(3+2*x)^(23/2),1],
[(5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^3,x,2,1625/896*(3+2*x)^(7/2)-7925/1152*(3+2*x)^(9/2)+1455/128*(3+2*x)^(11/2)-17201/1664*(3+2*x)^(13/2)+2095/384*(3+2*x)^(15/2)-207/128*(3+2*x)^(17/2)+567/2432*(3+2*x)^(19/2)-9/896*(3+2*x)^(21/2),1],
[(5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^3,x,2,325/128*(3+2*x)^(5/2)-7925/896*(3+2*x)^(7/2)+5335/384*(3+2*x)^(9/2)-17201/1408*(3+2*x)^(11/2)+10475/1664*(3+2*x)^(13/2)-1173/640*(3+2*x)^(15/2)+567/2176*(3+2*x)^(17/2)-27/2432*(3+2*x)^(19/2),1],
[(5-x)*sqrt(3+2*x)*(3*x^2+5*x+2)^3,x,2,1625/384*(3+2*x)^(3/2)-1585/128*(3+2*x)^(5/2)+16005/896*(3+2*x)^(7/2)-17201/1152*(3+2*x)^(9/2)+10475/1408*(3+2*x)^(11/2)-3519/1664*(3+2*x)^(13/2)+189/640*(3+2*x)^(15/2)-27/2176*(3+2*x)^(17/2),1],
[(5-x)*(3*x^2+5*x+2)^3/sqrt(3+2*x),x,2,1625/128*sqrt(3+2*x)-7925/384*(3+2*x)^(3/2)+3201/128*(3+2*x)^(5/2)-17201/896*(3+2*x)^(7/2)+10475/1152*(3+2*x)^(9/2)-3519/1408*(3+2*x)^(11/2)+567/1664*(3+2*x)^(13/2)-9/640*(3+2*x)^(15/2),1],
[(5-x)*(3*x^2+5*x+2)^3/(3+2*x)^(3/2),x,2,-1625/128/sqrt(3+2*x)-7925/128*sqrt(3+2*x)+5335/128*(3+2*x)^(3/2)-17201/640*(3+2*x)^(5/2)+10475/896*(3+2*x)^(7/2)-391/128*(3+2*x)^(9/2)+567/1408*(3+2*x)^(11/2)-27/1664*(3+2*x)^(13/2),1],
[(5-x)*(3*x^2+5*x+2)^3/(3+2*x)^(5/2),x,2,-1625/384/(3+2*x)^(3/2)+7925/128/sqrt(3+2*x)+16005/128*sqrt(3+2*x)-17201/384*(3+2*x)^(3/2)+2095/128*(3+2*x)^(5/2)-3519/896*(3+2*x)^(7/2)+63/128*(3+2*x)^(9/2)-27/1408*(3+2*x)^(11/2),1],
[(5-x)*(3*x^2+5*x+2)^3/(3+2*x)^(7/2),x,2,-325/128/(3+2*x)^(5/2)+7925/384/(3+2*x)^(3/2)-16005/128/sqrt(3+2*x)-17201/128*sqrt(3+2*x)+10475/384*(3+2*x)^(3/2)-3519/640*(3+2*x)^(5/2)+81/128*(3+2*x)^(7/2)-3/128*(3+2*x)^(9/2),1],
[(5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2),x,6,3278/81*sqrt(3+2*x)+526/81*(3+2*x)^(3/2)+62/45*(3+2*x)^(5/2)-2/21*(3+2*x)^(7/2)+12*arctanh(sqrt(3+2*x))-4250/81*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2),x,6,526/27*sqrt(3+2*x)+62/27*(3+2*x)^(3/2)-2/15*(3+2*x)^(5/2)+12*arctanh(sqrt(3+2*x))-850/27*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2),x,6,62/9*sqrt(3+2*x)-2/9*(3+2*x)^(3/2)+12*arctanh(sqrt(3+2*x))-170/9*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*sqrt(3+2*x)/(3*x^2+5*x+2),x,6,-2/3*sqrt(3+2*x)+12*arctanh(sqrt(3+2*x))-34/3*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/sqrt(3+2*x)/(3*x^2+5*x+2),x,4,12*arctanh(sqrt(3+2*x))-34*arctanh(sqrt(3/5)*sqrt(3+2*x))/sqrt(15),1],
[(5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2),x,5,-26/5/sqrt(3+2*x)+12*arctanh(sqrt(3+2*x))-34/5*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2),x,6,-26/15/(3+2*x)^(3/2)-198/25/sqrt(3+2*x)+12*arctanh(sqrt(3+2*x))-102/25*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2),x,7,-26/25/(3+2*x)^(5/2)-66/25/(3+2*x)^(3/2)-1194/125/sqrt(3+2*x)+12*arctanh(sqrt(3+2*x))-306/125*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^2,x,7,184/27*sqrt(3+2*x)-8/27*(3+2*x)^(3/2)-sqrt(3+2*x)*(2449+2611*x)/(81*x^2+135*x+54)-154*arctanh(sqrt(3+2*x))+2800/27*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^2,x,7,-8/9*sqrt(3+2*x)-sqrt(3+2*x)*(533+587*x)/(27*x^2+45*x+18)-130*arctanh(sqrt(3+2*x))+100*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^2,x,5,-1/3*sqrt(3+2*x)*(121+139*x)/(3*x^2+5*x+2)-106*arctanh(sqrt(3+2*x))+248/3*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*sqrt(3+2*x)/(3*x^2+5*x+2)^2,x,5,-sqrt(3+2*x)*(29+35*x)/(3*x^2+5*x+2)-82*arctanh(sqrt(3+2*x))+316*arctanh(sqrt(3/5)*sqrt(3+2*x))/sqrt(15),1],
[(5-x)/sqrt(3+2*x)/(3*x^2+5*x+2)^2,x,5,-3*sqrt(3+2*x)*(37+47*x)/(15*x^2+25*x+10)-58*arctanh(sqrt(3+2*x))+384/5*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^2,x,6,-506/25/sqrt(3+2*x)-3/5*(37+47*x)/sqrt(3+2*x)/(3*x^2+5*x+2)-34*arctanh(sqrt(3+2*x))+1356/25*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^2,x,7,-262/15/(3+2*x)^(3/2)-686/25/sqrt(3+2*x)-3/5*(37+47*x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)-10*arctanh(sqrt(3+2*x))+936/25*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^2,x,8,-2114/125/(3+2*x)^(5/2)-7042/375/(3+2*x)^(3/2)-24626/625/sqrt(3+2*x)-3/5*(37+47*x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)+14*arctanh(sqrt(3+2*x))+15876/625*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(9/2)/(3*x^2+5*x+2)^3,x,8,-32/27*sqrt(3+2*x)-1/162*sqrt(3+2*x)*(11597+12083*x)/(3*x^2+5*x+2)^2+sqrt(3+2*x)*(111154+137169*x)/(486*x^2+810*x+324)+1962*arctanh(sqrt(3+2*x))-13675/9*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^3,x,6,-1/54*sqrt(3+2*x)*(2449+2611*x)/(3*x^2+5*x+2)^2+sqrt(3+2*x)*(30722+37329*x)/(162*x^2+270*x+108)+1582*arctanh(sqrt(3+2*x))-1225*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^3,x,6,-1/18*sqrt(3+2*x)*(533+587*x)/(3*x^2+5*x+2)^2+131*sqrt(3+2*x)*(62+75*x)/(54*x^2+90*x+36)+1250*arctanh(sqrt(3+2*x))-2905/3*sqrt(5/3)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^3,x,6,-1/6*sqrt(3+2*x)*(121+139*x)/(3*x^2+5*x+2)^2+sqrt(3+2*x)*(2090+2529*x)/(18*x^2+30*x+12)+966*arctanh(sqrt(3+2*x))-1247*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)*sqrt(3+2*x)/(3*x^2+5*x+2)^3,x,6,-1/2*sqrt(3+2*x)*(29+35*x)/(3*x^2+5*x+2)^2+3*sqrt(3+2*x)*(878+1063*x)/(30*x^2+50*x+20)+730*arctanh(sqrt(3+2*x))-4713/5*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/sqrt(3+2*x)/(3*x^2+5*x+2)^3,x,6,-3/10*sqrt(3+2*x)*(37+47*x)/(3*x^2+5*x+2)^2+sqrt(3+2*x)*(9734+11739*x)/(150*x^2+250*x+100)+542*arctanh(sqrt(3+2*x))-17463/25*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^3,x,7,2667/25/sqrt(3+2*x)-3/10*(37+47*x)/sqrt(3+2*x)/(3*x^2+5*x+2)^2+1/10*(1888+2229*x)/sqrt(3+2*x)/(3*x^2+5*x+2)+402*arctanh(sqrt(3+2*x))-12717/25*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^3,x,8,7451/75/(3+2*x)^(3/2)+6853/125/sqrt(3+2*x)-3/10*(37+47*x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^2+1/50*(9146+10551*x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)+310*arctanh(sqrt(3+2*x))-45603/125*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^3,x,9,56399/625/(3+2*x)^(5/2)+102697/1875/(3+2*x)^(3/2)-24409/3125/sqrt(3+2*x)-3/10*(37+47*x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^2+1/50*(8852+9957*x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)+266*arctanh(sqrt(3+2*x))-806841/3125*sqrt(3/5)*arctanh(sqrt(3/5)*sqrt(3+2*x)),1],
[(5+sqrt(35)+10*x)/sqrt(1+2*x)/(5*x^2+3*x+2),x,6,-2*sqrt(10/(-2+sqrt(35)))*arctan((sqrt(2+sqrt(35))-sqrt(10+20*x))/sqrt(-2+sqrt(35)))+2*sqrt(10/(-2+sqrt(35)))*arctan((sqrt(2+sqrt(35))+sqrt(10+20*x))/sqrt(-2+sqrt(35))),1],
[(2+x)^(5/3)*(3+5*x)/(2*x^2+7*x+4),x,19,-3/272*(153-31*sqrt(17))*(2+x)^(2/3)-3/272*(153+31*sqrt(17))*(2+x)^(2/3)+3/340*(85-23*sqrt(17))*(2+x)^(5/3)+3/340*(85+23*sqrt(17))*(2+x)^(5/3)-1/8*sqrt(3/17)*(96111+23401*sqrt(17))^(1/3)*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))-1/8*sqrt(3/17)*(-96111+23401*sqrt(17))^(1/3)*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))+1/16*(-96111+23401*sqrt(17))^(1/3)*ln(7-sqrt(17)+4*x)/sqrt(17)+1/16*(96111+23401*sqrt(17))^(1/3)*ln(7+sqrt(17)+4*x)/sqrt(17)-3/16*(-96111+23401*sqrt(17))^(1/3)*ln((1+sqrt(17))^(1/3)-2^(2/3)*(2+x)^(1/3))/sqrt(17)-3/16*(96111+23401*sqrt(17))^(1/3)*ln((-1+sqrt(17))^(1/3)+2^(2/3)*(2+x)^(1/3))/sqrt(17),1],
[(2+x)^(4/3)*(3+5*x)/(2*x^2+7*x+4),x,17,-3/136*(153-31*sqrt(17))*(2+x)^(1/3)-3/136*(153+31*sqrt(17))*(2+x)^(1/3)+3/272*(85-23*sqrt(17))*(2+x)^(4/3)+3/272*(85+23*sqrt(17))*(2+x)^(4/3)-1/8*sqrt(3/17)*(61741+14939*sqrt(17))^(1/3)*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))*2^(1/3)+1/32*sqrt(3/17)*(3951424-956096*sqrt(17))^(1/3)*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))*2^(1/3)+1/64*(3951424-956096*sqrt(17))^(1/3)*ln(7-sqrt(17)+4*x)*2^(1/3)/sqrt(17)-1/16*(61741+14939*sqrt(17))^(1/3)*ln(7+sqrt(17)+4*x)*2^(1/3)/sqrt(17)-3/64*(3951424-956096*sqrt(17))^(1/3)*ln((2+2*sqrt(17))^(1/3)-2*(2+x)^(1/3))*2^(1/3)/sqrt(17)+3/16*(61741+14939*sqrt(17))^(1/3)*ln((-2+2*sqrt(17))^(1/3)+2*(2+x)^(1/3))*2^(1/3)/sqrt(17),1],
[(2+x)^(2/3)*(3+5*x)/(2*x^2+7*x+4),x,17,3/136*(85-23*sqrt(17))*(2+x)^(2/3)+3/136*(85+23*sqrt(17))*(2+x)^(2/3)+1/4*sqrt(3/17)*(25301+6131*sqrt(17))^(1/3)*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))-1/4*sqrt(3/17)*(25301-6131*sqrt(17))^(1/3)*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))+1/8*(25301-6131*sqrt(17))^(1/3)*ln(7-sqrt(17)+4*x)/sqrt(17)-1/8*(25301+6131*sqrt(17))^(1/3)*ln(7+sqrt(17)+4*x)/sqrt(17)-3/8*(25301-6131*sqrt(17))^(1/3)*ln((1+sqrt(17))^(1/3)-2^(2/3)*(2+x)^(1/3))/sqrt(17)+3/8*(25301+6131*sqrt(17))^(1/3)*ln((-1+sqrt(17))^(1/3)+2^(2/3)*(2+x)^(1/3))/sqrt(17),1],
[(2+x)^(1/3)*(3+5*x)/(2*x^2+7*x+4),x,15,3/68*(85-23*sqrt(17))*(2+x)^(1/3)+3/68*(85+23*sqrt(17))*(2+x)^(1/3)+1/8*sqrt(3/17)*(259056+62864*sqrt(17))^(1/3)*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))+1/8*sqrt(3/17)*(-259056+62864*sqrt(17))^(1/3)*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))+1/16*(-259056+62864*sqrt(17))^(1/3)*ln(7-sqrt(17)+4*x)/sqrt(17)+1/16*(259056+62864*sqrt(17))^(1/3)*ln(7+sqrt(17)+4*x)/sqrt(17)-3/16*(-259056+62864*sqrt(17))^(1/3)*ln((2+2*sqrt(17))^(1/3)-2*(2+x)^(1/3))/sqrt(17)-3/16*(259056+62864*sqrt(17))^(1/3)*ln((-2+2*sqrt(17))^(1/3)+2*(2+x)^(1/3))/sqrt(17),1],
[(3+5*x)/(2+x)^(1/3)/(2*x^2+7*x+4),x,14,-1/2*sqrt(3/17)*(6641+1611*sqrt(17))^(1/3)*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))-1/2*sqrt(3/17)*(-6641+1611*sqrt(17))^(1/3)*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))-1/34*(27387-6641*sqrt(17))^(1/3)*ln((2+2*sqrt(17))^(1/3)-2*(2+x)^(1/3))*17^(1/3)-1/34*(27387+6641*sqrt(17))^(1/3)*ln((-2+2*sqrt(17))^(1/3)+2*(2+x)^(1/3))*17^(1/3)+1/68*(27387+6641*sqrt(17))^(1/3)*ln((-2+2*sqrt(17))^(2/3)-2*(-2+2*sqrt(17))^(1/3)*(2+x)^(1/3)+4*(2+x)^(2/3))*17^(1/3)+1/68*(27387-6641*sqrt(17))^(1/3)*ln((2+2*sqrt(17))^(2/3)+2*(2+2*sqrt(17))^(1/3)*(2+x)^(1/3)+4*(2+x)^(2/3))*17^(1/3),1],
[(3+5*x)/(2+x)^(2/3)/(2*x^2+7*x+4),x,14,-1/2*sqrt(3/17)*(8507+2063*sqrt(17))^(1/3)*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))+1/2*sqrt(3/17)*(8507-2063*sqrt(17))^(1/3)*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))-1/2*(8507-2063*sqrt(17))^(1/3)*ln((2+2*sqrt(17))^(1/3)-2*(2+x)^(1/3))/sqrt(17)+1/2*(8507+2063*sqrt(17))^(1/3)*ln((-2+2*sqrt(17))^(1/3)+2*(2+x)^(1/3))/sqrt(17)-1/68*(35071+8507*sqrt(17))^(1/3)*ln((-2+2*sqrt(17))^(2/3)-2*(-2+2*sqrt(17))^(1/3)*(2+x)^(1/3)+4*(2+x)^(2/3))*17^(1/3)+1/68*(-35071+8507*sqrt(17))^(1/3)*ln((2+2*sqrt(17))^(2/3)+2*(2+2*sqrt(17))^(1/3)*(2+x)^(1/3)+4*(2+x)^(2/3))*17^(1/3),1],
[(3+5*x)/(2+x)^(4/3)/(2*x^2+7*x+4),x,17,3/17*(85-23*sqrt(17))/(1+sqrt(17))/(2+x)^(1/3)+3/17*(85+23*sqrt(17))/(1-sqrt(17))/(2+x)^(1/3)+sqrt(3/17)*2^(2/3)*(23+5*sqrt(17))*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))/(-1+sqrt(17))^(4/3)-sqrt(3/17)*2^(2/3)*(23-5*sqrt(17))*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))/(1+sqrt(17))^(4/3)-1/34*(85-23*sqrt(17))*ln(7-sqrt(17)+4*x)*2^(2/3)/(1+sqrt(17))^(4/3)-1/34*(85+23*sqrt(17))*ln(7+sqrt(17)+4*x)*2^(2/3)/(-1+sqrt(17))^(4/3)+3/34*(85-23*sqrt(17))*ln((1+sqrt(17))^(1/3)-2^(2/3)*(2+x)^(1/3))*2^(2/3)/(1+sqrt(17))^(4/3)+3/34*(85+23*sqrt(17))*ln((-1+sqrt(17))^(1/3)+2^(2/3)*(2+x)^(1/3))*2^(2/3)/(-1+sqrt(17))^(4/3),1],
[(3+5*x)/(2+x)^(5/3)/(2*x^2+7*x+4),x,15,3/34*(85-23*sqrt(17))/(1+sqrt(17))/(2+x)^(2/3)+3/34*(85+23*sqrt(17))/(1-sqrt(17))/(2+x)^(2/3)+2*2^(1/3)*sqrt(3)*(23+5*sqrt(17))*arctan((1-2*2^(2/3)*(2+x)^(1/3)/(-1+sqrt(17))^(1/3))/sqrt(3))/sqrt(17)/(-1+sqrt(17))^(5/3)+2*2^(1/3)*sqrt(3)*(23-5*sqrt(17))*arctan((1+2*2^(2/3)*(2+x)^(1/3)/(1+sqrt(17))^(1/3))/sqrt(3))/sqrt(17)/(1+sqrt(17))^(5/3)-1/17*2^(1/3)*(85-23*sqrt(17))*ln(7-sqrt(17)+4*x)/(1+sqrt(17))^(5/3)+1/17*2^(1/3)*(85+23*sqrt(17))*ln(7+sqrt(17)+4*x)/(-1+sqrt(17))^(5/3)+3/17*2^(1/3)*(85-23*sqrt(17))*ln((2+2*sqrt(17))^(1/3)-2*(2+x)^(1/3))/(1+sqrt(17))^(5/3)-3/17*2^(1/3)*(85+23*sqrt(17))*ln((-2+2*sqrt(17))^(1/3)+2*(2+x)^(1/3))/(-1+sqrt(17))^(5/3),1],
[(2+x)^(7/4)*(3+5*x)/(2*x^2+7*x+4),x,15,-3*(2+x)^(3/4)+10/7*(2+x)^(7/4)-1/4*(-5119379+1242341*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)-1/136*(187+61*sqrt(17))*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(1/4)+1/136*(187+61*sqrt(17))*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(1/4)+1/4*(-5119379+1242341*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)-1/136*(187+61*sqrt(17))*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/(-1+sqrt(17))^(1/4),1],
[(2+x)^(5/4)*(3+5*x)/(2*x^2+7*x+4),x,15,-9*(2+x)^(1/4)+2*(2+x)^(5/4)+1/2*(-2099819+509389*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)-1/4*(2099819+509389*sqrt(17))^(1/4)*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(17)+1/4*(2099819+509389*sqrt(17))^(1/4)*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(17)+1/2*(-2099819+509389*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)+1/4*(2099819+509389*sqrt(17))^(1/4)*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/sqrt(17),1],
[(2+x)^(3/4)*(3+5*x)/(2*x^2+7*x+4),x,14,10/3*(2+x)^(3/4)-1/2*(-861187+208885*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)+1/2*(861187+208885*sqrt(17))^(1/4)*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(34)-1/2*(861187+208885*sqrt(17))^(1/4)*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(34)+1/2*(-861187+208885*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)+1/2*(861187+208885*sqrt(17))^(1/4)*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/sqrt(34),1],
[(2+x)^(1/4)*(3+5*x)/(2*x^2+7*x+4),x,14,10*(2+x)^(1/4)+(-353179+85661*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)+1/2*(353179+85661*sqrt(17))^(1/4)*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(17)-1/2*(353179+85661*sqrt(17))^(1/4)*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(17)+(-353179+85661*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)-1/2*(353179+85661*sqrt(17))^(1/4)*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/sqrt(17),1],
[(3+5*x)/(2+x)^(1/4)/(2*x^2+7*x+4),x,13,-(-144839+35129*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)-(144839+35129*sqrt(17))^(1/4)*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(34)+(144839+35129*sqrt(17))^(1/4)*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(34)+(-144839+35129*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)-(144839+35129*sqrt(17))^(1/4)*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/sqrt(34),1],
[(3+5*x)/(2+x)^(3/4)/(2*x^2+7*x+4),x,13,(-237593+57625*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)-1/17*(85+23*sqrt(17))*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(3/4)+1/17*(85+23*sqrt(17))*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(3/4)+(-237593+57625*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(17)+1/17*(85+23*sqrt(17))*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/(-1+sqrt(17))^(3/4),1],
[(3+5*x)/(2+x)^(5/4)/(2*x^2+7*x+4),x,14,-14/(2+x)^(1/4)-(-1558981+378109*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)+1/2*(1558981+378109*sqrt(17))^(1/4)*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(17)-1/2*(1558981+378109*sqrt(17))^(1/4)*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/sqrt(17)+(-1558981+378109*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)+1/2*(1558981+378109*sqrt(17))^(1/4)*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/sqrt(17),1],
[(3+5*x)/(2+x)^(7/4)/(2*x^2+7*x+4),x,14,-14/3/(2+x)^(3/4)-sqrt(2/17)*(27-7*sqrt(17))*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/(1+sqrt(17))^(3/4)+1/17*(119+27*sqrt(17))*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(3/4)-1/17*(119+27*sqrt(17))*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(3/4)-sqrt(2/17)*(27-7*sqrt(17))*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/(1+sqrt(17))^(3/4)-1/17*(119+27*sqrt(17))*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/(-1+sqrt(17))^(3/4),1],
[(3+5*x)/(2+x)^(9/4)/(2*x^2+7*x+4),x,15,-14/5/(2+x)^(5/4)+17/(2+x)^(1/4)-1/2*(-67120373+16279085*sqrt(17))^(1/4)*arctan(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)-1/68*(289+73*sqrt(17))*arctan(1-2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(1/4)+1/68*(289+73*sqrt(17))*arctan(1+2*(2+x)^(1/4)/(-1+sqrt(17))^(1/4))/(-1+sqrt(17))^(1/4)+1/2*(-67120373+16279085*sqrt(17))^(1/4)*arctanh(sqrt(2)*(2+x)^(1/4)/(1+sqrt(17))^(1/4))/sqrt(34)-1/68*(289+73*sqrt(17))*arctanh(2*(-1+sqrt(17))^(1/4)*(2+x)^(1/4)/(sqrt(-1+sqrt(17))+2*sqrt(2+x)))/(-1+sqrt(17))^(1/4),1],
[(e*x+d)^3*(g*x+f)*sqrt(c*x^2+b*x+a),x,6,1/512*(128*c^4*d^3*f+21*b^4*e^3*g-28*b^2*c*e^2*(2*a*e*g+3*b*d*g+b*e*f)-32*c^3*d*(3*a*e*(d*g+e*f)+2*b*d*(d*g+3*e*f))+8*c^2*e*(2*a^2*e^2*g+15*b^2*d*(d*g+e*f)+6*a*b*e*(3*d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/20*(-3*b*e*g+2*c*d*g+4*c*e*f)*(e*x+d)^2*(c*x^2+b*x+a)^(3/2)/c^2+1/6*g*(e*x+d)^3*(c*x^2+b*x+a)^(3/2)/c-1/960*(105*b^3*e^3*g-64*c^3*d^2*(d*g+12*e*f)-28*b*c*e^2*(7*a*e*g+5*b*(3*d*g+e*f))+8*c^2*e*(16*a*e*(3*d*g+e*f)+3*b*d*(19*d*g+25*e*f))-6*c*e*(21*b^2*e^2*g+8*c^2*d*(d*g+7*e*f)-4*c*e*(5*a*e*g+9*b*d*g+7*b*e*f))*x)*(c*x^2+b*x+a)^(3/2)/c^4-1/1024*(-4*a*c+b^2)*(128*c^4*d^3*f+21*b^4*e^3*g-28*b^2*c*e^2*(2*a*e*g+3*b*d*g+b*e*f)-32*c^3*d*(3*a*e*(d*g+e*f)+2*b*d*(d*g+3*e*f))+8*c^2*e*(2*a^2*e^2*g+15*b^2*d*(d*g+e*f)+6*a*b*e*(3*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(e*x+d)^2*(g*x+f)*sqrt(c*x^2+b*x+a),x,5,1/128*(32*c^3*d^2*f-7*b^3*e^2*g+2*b*c*e*(6*a*e*g+5*b*(2*d*g+e*f))-8*c^2*(2*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/5*g*(e*x+d)^2*(c*x^2+b*x+a)^(3/2)/c+1/240*(35*b^2*e^2*g+32*c^2*d*(d*g+5*e*f)-2*c*e*(16*a*e*g+25*b*(2*d*g+e*f))+6*c*e*(-7*b*e*g+4*c*d*g+10*c*e*f)*x)*(c*x^2+b*x+a)^(3/2)/c^3-1/256*(-4*a*c+b^2)*(32*c^3*d^2*f-7*b^3*e^2*g+2*b*c*e*(6*a*e*g+5*b*(2*d*g+e*f))-8*c^2*(2*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(e*x+d)*(g*x+f)*sqrt(c*x^2+b*x+a),x,4,1/64*(16*c^2*d*f+5*b^2*e*g-4*a*c*e*g-8*b*c*(d*g+e*f))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3-1/24*(5*b*e*g-8*c*(d*g+e*f)-6*c*e*g*x)*(c*x^2+b*x+a)^(3/2)/c^2-1/128*(-4*a*c+b^2)*(16*c^2*d*f+5*b^2*e*g-4*a*c*e*g-8*b*c*(d*g+e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(g*x+f)*sqrt(c*x^2+b*x+a),x,4,1/8*(-b*g+2*c*f)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^2+1/3*g*(c*x^2+b*x+a)^(3/2)/c-1/16*(-4*a*c+b^2)*(-b*g+2*c*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(g*x+f)*sqrt(c*x^2+b*x+a)/(e*x+d),x,6,1/4*(2*c*e*g*x+b*e*g-4*c*d*g+4*c*e*f)*sqrt(c*x^2+b*x+a)/c/e^2-1/8*(b^2*e^2*g+8*c^2*d*(-d*g+e*f)-4*c*e*(a*e*g-b*d*g+b*e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^3+sqrt(a*e^2-b*d*e+c*d^2)*(-d*g+e*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^3,1],
[(g*x+f)*sqrt(c*x^2+b*x+a)/(e*x+d)^2,x,6,-(-e*g*x-2*d*g+e*f)*sqrt(c*x^2+b*x+a)/e^2/(e*x+d)+1/2*(b*e*g-4*c*d*g+2*c*e*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^3-1/2*(2*c*d*(-2*d*g+e*f)-e*(2*a*e*g-3*b*d*g+b*e*f))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^3/sqrt(a*e^2-b*d*e+c*d^2),1],
[(g*x+f)*sqrt(c*x^2+b*x+a)/(e*x+d)^3,x,7,-g*sqrt(c*x^2+b*x+a)/e^2/(e*x+d)+1/4*(-d*g+e*f)*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+sqrt(c)*g*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^3+1/8*(4*b*e*(a*e^2+3*c*d^2)*g-b^2*e^2*(3*d*g+e*f)-4*c*(2*c*d^3*g-a*e^2*(-3*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^3/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(g*x+f)*sqrt(c*x^2+b*x+a)/(e*x+d)^4,x,4,1/8*(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)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-1/3*(-d*g+e*f)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^3-1/16*(-4*a*c+b^2)*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(g*x+f)*sqrt(c*x^2+b*x+a)/(e*x+d)^5,x,5,1/64*(16*c^2*d^2*f+b*e*(-8*a*e*g+3*b*d*g+5*b*e*f)-4*c*(a*e*(-5*d*g+e*f)+2*b*d*(d*g+2*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^2-1/4*(-d*g+e*f)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4-1/24*(2*c*d*(-d*g+5*e*f)-e*(-8*a*e*g+3*b*d*g+5*b*e*f))*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^3-1/128*(-4*a*c+b^2)*(16*c^2*d^2*f+b*e*(-8*a*e*g+3*b*d*g+5*b*e*f)-4*c*(a*e*(-5*d*g+e*f)+2*b*d*(d*g+2*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(g*x+f)*sqrt(c*x^2+b*x+a)/(e*x+d)^6,x,6,1/128*(32*c^3*d^3*f-b^2*e^2*(-10*a*e*g+3*b*d*g+7*b*e*f)-8*c^2*d*(3*a*e*(-2*d*g+e*f)+2*b*d*(d*g+3*e*f))-2*c*e*(4*a^2*e^2*g-6*a*b*e*(-3*d*g+e*f)-3*b^2*d*(2*d*g+5*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^4/(e*x+d)^2-1/5*(-d*g+e*f)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^5-1/40*(2*c*d*(-2*d*g+7*e*f)-e*(-10*a*e*g+3*b*d*g+7*b*e*f))*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^4-1/240*(4*c^2*d^2*(-2*d*g+27*e*f)+5*b*e^2*(-10*a*e*g+3*b*d*g+7*b*e*f)-2*c*e*(2*a*e*(-33*d*g+8*e*f)+3*b*d*(7*d*g+18*e*f)))*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^3-1/256*(-4*a*c+b^2)*(32*c^3*d^3*f-b^2*e^2*(-10*a*e*g+3*b*d*g+7*b*e*f)-8*c^2*d*(3*a*e*(-2*d*g+e*f)+2*b*d*(d*g+3*e*f))-2*c*e*(4*a^2*e^2*g-6*a*b*e*(-3*d*g+e*f)-3*b^2*d*(2*d*g+5*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(9/2),1],
[(e*x+d)^3*(g*x+f)*(c*x^2+b*x+a)^(3/2),x,7,-3/16384*(-4*a*c+b^2)*(256*c^4*d^3*f+33*b^4*e^3*g-24*b^2*c*e^2*(3*a*e*g+6*b*d*g+2*b*e*f)-128*c^3*d*(a*e*(d*g+e*f)+b*d*(d*g+3*e*f))+16*c^2*e*(a^2*e^2*g+14*b^2*d*(d*g+e*f)+4*a*b*e*(3*d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6+1/2048*(256*c^4*d^3*f+33*b^4*e^3*g-24*b^2*c*e^2*(3*a*e*g+6*b*d*g+2*b*e*f)-128*c^3*d*(a*e*(d*g+e*f)+b*d*(d*g+3*e*f))+16*c^2*e*(a^2*e^2*g+14*b^2*d*(d*g+e*f)+4*a*b*e*(3*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^5+1/112*(-11*b*e*g+6*c*d*g+16*c*e*f)*(e*x+d)^2*(c*x^2+b*x+a)^(5/2)/c^2+1/8*g*(e*x+d)^3*(c*x^2+b*x+a)^(5/2)/c-1/4480*(231*b^3*e^3*g-32*c^3*d^2*(3*d*g+64*e*f)-12*b*c*e^2*(31*a*e*g+28*b*(3*d*g+e*f))+8*c^2*e*(32*a*e*(3*d*g+e*f)+b*d*(141*d*g+196*e*f))-10*c*e*(33*b^2*e^2*g+8*c^2*d*(d*g+12*e*f)-4*c*e*(7*a*e*g+2*b*(7*d*g+6*e*f)))*x)*(c*x^2+b*x+a)^(5/2)/c^4+3/32768*(-4*a*c+b^2)^2*(256*c^4*d^3*f+33*b^4*e^3*g-24*b^2*c*e^2*(3*a*e*g+6*b*d*g+2*b*e*f)-128*c^3*d*(a*e*(d*g+e*f)+b*d*(d*g+3*e*f))+16*c^2*e*(a^2*e^2*g+14*b^2*d*(d*g+e*f)+4*a*b*e*(3*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[(e*x+d)^2*(g*x+f)*(c*x^2+b*x+a)^(3/2),x,6,-1/1024*(-4*a*c+b^2)*(48*c^3*d^2*f-9*b^3*e^2*g+2*b*c*e*(6*a*e*g+7*b*(2*d*g+e*f))-8*c^2*(3*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/384*(48*c^3*d^2*f-9*b^3*e^2*g+2*b*c*e*(6*a*e*g+7*b*(2*d*g+e*f))-8*c^2*(3*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+1/7*g*(e*x+d)^2*(c*x^2+b*x+a)^(5/2)/c+1/840*(63*b^2*e^2*g+48*c^2*d*(d*g+7*e*f)-2*c*e*(24*a*e*g+49*b*(2*d*g+e*f))+10*c*e*(-9*b*e*g+4*c*d*g+14*c*e*f)*x)*(c*x^2+b*x+a)^(5/2)/c^3+1/2048*(-4*a*c+b^2)^2*(48*c^3*d^2*f-9*b^3*e^2*g+2*b*c*e*(6*a*e*g+7*b*(2*d*g+e*f))-8*c^2*(3*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(e*x+d)*(g*x+f)*(c*x^2+b*x+a)^(3/2),x,5,-1/512*(-4*a*c+b^2)*(24*c^2*d*f+7*b^2*e*g-4*c*(a*e*g+3*b*(d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/192*(24*c^2*d*f+7*b^2*e*g-4*c*(a*e*g+3*b*(d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3-1/60*(7*b*e*g-12*c*(d*g+e*f)-10*c*e*g*x)*(c*x^2+b*x+a)^(5/2)/c^2+1/1024*(-4*a*c+b^2)^2*(24*c^2*d*f+7*b^2*e*g-4*c*(a*e*g+3*b*(d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(3/2),x,5,-3/128*(-4*a*c+b^2)*(-b*g+2*c*f)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+1/16*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^2+1/5*g*(c*x^2+b*x+a)^(5/2)/c+3/256*(-4*a*c+b^2)^2*(-b*g+2*c*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(3/2)/(e*x+d),x,7,-1/64*(3*b^3*e^3*g-64*c^3*d^2*(-d*g+e*f)+16*c^2*e*(-4*a*e+5*b*d)*(-d*g+e*f)-4*b*c*e^2*(3*a*e*g-2*b*d*g+2*b*e*f)+2*c*e*(8*c*e*(-b*e+2*c*d)*f+3*(-4*a*c+b^2)*e^2*g-8*c*d*(-b*e+2*c*d)*g)*x)*sqrt(c*x^2+b*x+a)/c^2/e^4+1/24*(6*c*e*g*x+3*b*e*g-8*c*d*g+8*c*e*f)*(c*x^2+b*x+a)^(3/2)/c/e^2+1/128*(3*b^4*e^4*g-128*c^4*d^3*(-d*g+e*f)+192*c^3*d*e*(-a*e+b*d)*(-d*g+e*f)-8*b^2*c*e^3*(3*a*e*g-b*d*g+b*e*f)+48*c^2*e^2*(a^2*e^2*g-b^2*d*(-d*g+e*f)+2*a*b*e*(-d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/e^5+(a*e^2-b*d*e+c*d^2)^(3/2)*(-d*g+e*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5,1],
[(g*x+f)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^2,x,7,1/8*(b^2*e^2*g-8*c^2*d*(-4*d*g+3*e*f)+2*c*e*(4*a*e*g-14*b*d*g+9*b*e*f)+2*c*e*(b*e*g-8*c*d*g+6*c*e*f)*x)*sqrt(c*x^2+b*x+a)/c/e^4-1/3*(-e*g*x-4*d*g+3*e*f)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)-1/16*(4*c*e*(-b*e+2*c*d)*(2*a*e*g-4*b*d*g+3*b*e*f)-(8*c^2*d^2-b^2*e^2-4*c*e*(-a*e+b*d))*(b*e*g-8*c*d*g+6*c*e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^5-1/2*sqrt(a*e^2-b*d*e+c*d^2)*(2*c*d*(-4*d*g+3*e*f)-e*(2*a*e*g-5*b*d*g+3*b*e*f))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5,1],
[(g*x+f)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^3,x,7,3/4*(4*c*d*(-2*d*g+e*f)-e*(2*a*e*g-4*b*d*g+b*e*f)+e*(b*e*g-4*c*d*g+2*c*e*f)*x)*sqrt(c*x^2+b*x+a)/e^4/(e*x+d)-1/2*(-e*g*x-2*d*g+e*f)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)^2+3/8*(b^2*e^2*g-8*c^2*d*(-2*d*g+e*f)+4*c*e*(a*e*g-3*b*d*g+b*e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^5+3/8*(8*c^2*d^2*(-2*d*g+e*f)+b*e^2*(4*a*e*g-5*b*d*g+b*e*f)-4*c*e*(b*d*(-5*d*g+2*e*f)-a*e*(-3*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5/sqrt(a*e^2-b*d*e+c*d^2),1],
[(g*x+f)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^4,x,8,-1/2*(3*b*e*g-8*c*d*g+2*c*e*f)*sqrt(c*x^2+b*x+a)/e^4/(e*x+d)-1/8*(2*c*d*(-4*d*g+e*f)-e*(6*a*e*g-7*b*d*g+b*e*f))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-1/3*(-3*e*g*x-4*d*g+e*f)*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)^3+1/2*sqrt(c)*(3*b*e*g-8*c*d*g+2*c*e*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^5-1/16*(16*c^3*d^3*(-4*d*g+e*f)+b^2*e^3*(-6*a*e*g+5*b*d*g+b*e*f)-6*c*e^2*(4*a^2*e^2*g-b^2*d*(-10*d*g+e*f)+2*a*b*e*(-7*d*g+e*f))-24*c^2*d*e*(b*d*(-5*d*g+e*f)-a*e*(-4*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^5,x,9,-c*g*sqrt(c*x^2+b*x+a)/e^4/(e*x+d)+1/64*(8*b*e*(a*e^2+3*c*d^2)*g-b^2*e^2*(5*d*g+3*e*f)-4*c*(4*c*d^3*g-a*e^2*(-7*d*g+3*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-1/3*g*(c*x^2+b*x+a)^(3/2)/e^2/(e*x+d)^3+1/8*(-d*g+e*f)*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4+c^(3/2)*g*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^5+1/128*(8*b^3*e^3*(-a*e^2+5*c*d^2)*g+32*b*c*e*(3*a^2*e^4+15*a*c*d^2*e^2+10*c^2*d^4)*g+b^4*e^4*(5*d*g+3*e*f)-16*c^2*(8*c^2*d^5*g+20*a*c*d^3*e^2*g-3*a^2*e^4*(-5*d*g+e*f))-24*b^2*c*e^2*(10*c*d^3*g+a*e^2*(5*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^5/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(e*x+d)^3*(g*x+f)*(c*x^2+b*x+a)^(5/2),x,8,1/131072*(-4*a*c+b^2)^2*(1280*c^4*d^3*f+143*b^4*e^3*g-160*c^3*d*(3*a*e*(d*g+e*f)+4*b*d*(d*g+3*e*f))-44*b^2*c*e^2*(6*a*e*g+5*b*(3*d*g+e*f))+24*c^2*e*(2*a^2*e^2*g+45*b^2*d*(d*g+e*f)+10*a*b*e*(3*d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^7-1/49152*(-4*a*c+b^2)*(1280*c^4*d^3*f+143*b^4*e^3*g-160*c^3*d*(3*a*e*(d*g+e*f)+4*b*d*(d*g+3*e*f))-44*b^2*c*e^2*(6*a*e*g+5*b*(3*d*g+e*f))+24*c^2*e*(2*a^2*e^2*g+45*b^2*d*(d*g+e*f)+10*a*b*e*(3*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^6+1/15360*(1280*c^4*d^3*f+143*b^4*e^3*g-160*c^3*d*(3*a*e*(d*g+e*f)+4*b*d*(d*g+3*e*f))-44*b^2*c*e^2*(6*a*e*g+5*b*(3*d*g+e*f))+24*c^2*e*(2*a^2*e^2*g+45*b^2*d*(d*g+e*f)+10*a*b*e*(3*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^5+1/180*(-13*b*e*g+6*c*d*g+20*c*e*f)*(e*x+d)^2*(c*x^2+b*x+a)^(7/2)/c^2+1/10*g*(e*x+d)^3*(c*x^2+b*x+a)^(7/2)/c-1/40320*(1287*b^3*e^3*g-128*c^3*d^2*(3*d*g+100*e*f)-44*b*c*e^2*(41*a*e*g+45*b*(3*d*g+e*f))+8*c^2*e*(160*a*e*(3*d*g+e*f)+b*d*(851*d*g+1215*e*f))-14*c*e*(143*b^2*e^2*g+8*c^2*d*(3*d*g+55*e*f)-4*c*e*(27*a*e*g+61*b*d*g+55*b*e*f))*x)*(c*x^2+b*x+a)^(7/2)/c^4-1/262144*(-4*a*c+b^2)^3*(1280*c^4*d^3*f+143*b^4*e^3*g-160*c^3*d*(3*a*e*(d*g+e*f)+4*b*d*(d*g+3*e*f))-44*b^2*c*e^2*(6*a*e*g+5*b*(3*d*g+e*f))+24*c^2*e*(2*a^2*e^2*g+45*b^2*d*(d*g+e*f)+10*a*b*e*(3*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(15/2),1],
[(e*x+d)^2*(g*x+f)*(c*x^2+b*x+a)^(5/2),x,7,5/32768*(-4*a*c+b^2)^2*(64*c^3*d^2*f-11*b^3*e^2*g+6*b*c*e*(2*a*e*g+6*b*d*g+3*b*e*f)-8*c^2*(4*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6-5/12288*(-4*a*c+b^2)*(64*c^3*d^2*f-11*b^3*e^2*g+6*b*c*e*(2*a*e*g+6*b*d*g+3*b*e*f)-8*c^2*(4*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^5+1/768*(64*c^3*d^2*f-11*b^3*e^2*g+6*b*c*e*(2*a*e*g+6*b*d*g+3*b*e*f)-8*c^2*(4*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^4+1/9*g*(e*x+d)^2*(c*x^2+b*x+a)^(7/2)/c+1/2016*(99*b^2*e^2*g+64*c^2*d*(d*g+9*e*f)-2*c*e*(32*a*e*g+81*b*(2*d*g+e*f))+14*c*e*(-11*b*e*g+4*c*d*g+18*c*e*f)*x)*(c*x^2+b*x+a)^(7/2)/c^3-5/65536*(-4*a*c+b^2)^3*(64*c^3*d^2*f-11*b^3*e^2*g+6*b*c*e*(2*a*e*g+6*b*d*g+3*b*e*f)-8*c^2*(4*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[(e*x+d)*(g*x+f)*(c*x^2+b*x+a)^(5/2),x,6,5/16384*(-4*a*c+b^2)^2*(32*c^2*d*f+9*b^2*e*g-4*c*(a*e*g+4*b*(d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5-5/6144*(-4*a*c+b^2)*(32*c^2*d*f+9*b^2*e*g-4*c*(a*e*g+4*b*(d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+1/384*(32*c^2*d*f+9*b^2*e*g-4*c*(a*e*g+4*b*(d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^3-1/112*(9*b*e*g-16*c*(d*g+e*f)-14*c*e*g*x)*(c*x^2+b*x+a)^(7/2)/c^2-5/32768*(-4*a*c+b^2)^3*(32*c^2*d*f+9*b^2*e*g-4*c*(a*e*g+4*b*(d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(5/2),x,6,5/1024*(-4*a*c+b^2)^2*(-b*g+2*c*f)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4-5/384*(-4*a*c+b^2)*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3+1/24*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^2+1/7*g*(c*x^2+b*x+a)^(7/2)/c-5/2048*(-4*a*c+b^2)^3*(-b*g+2*c*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d),x,8,1/1536*(15*b^5*e^5*g+1536*c^5*d^4*(-d*g+e*f)-384*c^4*d^2*e*(-8*a*e+9*b*d)*(-d*g+e*f)+96*c^3*e^2*(16*a^2*e^2-39*a*b*d*e+22*b^2*d^2)*(-d*g+e*f)-12*b^3*c*e^4*(10*a*e*g-3*b*d*g+3*b*e*f)+24*b*c^2*e^3*(10*a^2*e^2*g-5*b^2*d*(-d*g+e*f)+14*a*b*e*(-d*g+e*f))+2*c*e*(8*c*e*(-b*e+2*c*d)*(5*b^2*d*e*g+12*b*c*d*(-d*g+e*f)-4*a*c*e*(-d*g+6*e*f))+2*(3/2*(-4*a*c+b^2)*e^2-4*c*d*(-b*e+2*c*d))*(5*b^2*e^2*g+24*c^2*d*(-d*g+e*f)-4*c*e*(5*a*e*g-3*b*d*g+3*b*e*f)))*x)*sqrt(c*x^2+b*x+a)/c^3/e^6-1/192*(5*b^3*e^3*g-64*c^3*d^2*(-d*g+e*f)+8*c^2*e*(-8*a*e+11*b*d)*(-d*g+e*f)-4*b*c*e^2*(5*a*e*g-3*b*d*g+3*b*e*f)+2*c*e*(5*b^2*e^2*g+24*c^2*d*(-d*g+e*f)-4*c*e*(5*a*e*g-3*b*d*g+3*b*e*f))*x)*(c*x^2+b*x+a)^(3/2)/c^2/e^4+1/60*(10*c*e*g*x+5*b*e*g-12*c*d*g+12*c*e*f)*(c*x^2+b*x+a)^(5/2)/c/e^2-1/1024*(5*b^6*e^6*g+1024*c^6*d^5*(-d*g+e*f)-2560*c^5*d^3*e*(-a*e+b*d)*(-d*g+e*f)+1920*c^4*d*e^2*(-a*e+b*d)^2*(-d*g+e*f)-12*b^4*c*e^5*(5*a*e*g-b*d*g+b*e*f)+40*b^2*c^2*e^4*(6*a^2*e^2*g-b^2*d*(-d*g+e*f)+4*a*b*e*(-d*g+e*f))-320*c^3*e^3*(a^3*e^3*g+b^3*d^2*(-d*g+e*f)-3*a*b^2*d*e*(-d*g+e*f)+3*a^2*b*e^2*(-d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2)/e^7+(a*e^2-b*d*e+c*d^2)^(5/2)*(-d*g+e*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7,1],
[(g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^2,x,8,-1/128*(3*b^4*e^4*g+128*c^4*d^3*(-6*d*g+5*e*f)-8*c^2*e^2*(16*a^2*e^2*g+a*b*e*(-94*d*g+55*e*f)-2*b^2*d*(-41*d*g+30*e*f))-32*c^3*d*e*(b*d*(-44*d*g+35*e*f)-4*a*e*(-7*d*g+5*e*f))-2*b^2*c*e^3*(14*a*e*g+5*b*(-2*d*g+e*f))+2*c*e*(8*c*e*(-b*e+2*c*d)*(2*a*e*g-6*b*d*g+5*b*e*f)+2*(3/2*(-4*a*c+b^2)*e^2-4*c*d*(-b*e+2*c*d))*(b*e*g+2*c*(-6*d*g+5*e*f)))*x)*sqrt(c*x^2+b*x+a)/c^2/e^6+1/48*(3*b^2*e^2*g-16*c^2*d*(-6*d*g+5*e*f)+2*c*e*(8*a*e*g-46*b*d*g+35*b*e*f)+6*c*e*(b*e*g-12*c*d*g+10*c*e*f)*x)*(c*x^2+b*x+a)^(3/2)/c/e^4-1/5*(-e*g*x-6*d*g+5*e*f)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)+1/256*(3*b^5*e^5*g+256*c^5*d^4*(-6*d*g+5*e*f)-10*b^3*c*e^4*(4*a*e*g-2*b*d*g+b*e*f)-640*c^4*d^2*e*(b*d*(-5*d*g+4*e*f)-a*e*(-4*d*g+3*e*f))+480*c^3*e^2*(-a*e+b*d)*(b*d*(-4*d*g+3*e*f)-a*e*(-2*d*g+e*f))+80*b*c^2*e^3*(3*a^2*e^2*g-b^2*d*(-3*d*g+2*e*f)+3*a*b*e*(-2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/e^7-1/2*(a*e^2-b*d*e+c*d^2)^(3/2)*(2*c*d*(-6*d*g+5*e*f)-e*(2*a*e*g-7*b*d*g+5*b*e*f))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7,1],
[(g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^3,x,8,5/64*(b^3*e^3*g+64*c^3*d^2*(-3*d*g+2*e*f)+4*b*c*e^2*(11*a*e*g-22*b*d*g+10*b*e*f)-16*c^2*e*(b*d*(-17*d*g+10*e*f)-2*a*e*(-3*d*g+e*f))+2*c*e*(b^2*e^2*g-16*c^2*d*(-3*d*g+2*e*f)+4*c*e*(3*a*e*g-8*b*d*g+4*b*e*f))*x)*sqrt(c*x^2+b*x+a)/c/e^6+5/24*(8*c*d*(-3*d*g+2*e*f)-e*(6*a*e*g-13*b*d*g+6*b*e*f)+e*(b*e*g-6*c*d*g+4*c*e*f)*x)*(c*x^2+b*x+a)^(3/2)/e^4/(e*x+d)-1/4*(-e*g*x-3*d*g+2*e*f)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)^2-5/128*(b^4*e^4*g+128*c^4*d^3*(-3*d*g+2*e*f)-8*b^2*c*e^3*(3*a*e*g-3*b*d*g+b*e*f)-48*c^2*e^2*(a^2*e^2*g+2*a*b*e*(-3*d*g+e*f)-3*b^2*d*(-2*d*g+e*f))-64*c^3*d*e*(2*b*d*(-5*d*g+3*e*f)-3*a*e*(-2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^7+5/8*sqrt(a*e^2-b*d*e+c*d^2)*(8*c^2*d^2*(-3*d*g+2*e*f)+b*e^2*(4*a*e*g-7*b*d*g+3*b*e*f)-4*c*e*(b*d*(-7*d*g+4*e*f)-a*e*(-3*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7,1],
[(g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^4,x,8,-5/8*(16*c^2*d^2*(-2*d*g+e*f)+b*e^2*(4*a*e*g-6*b*d*g+b*e*f)-4*c*e*(b*d*(-8*d*g+3*e*f)-a*e*(-4*d*g+e*f))-e*(b^2*e^2*g-8*c^2*d*(-2*d*g+e*f)+4*c*e*(a*e*g-3*b*d*g+b*e*f))*x)*sqrt(c*x^2+b*x+a)/e^6/(e*x+d)+5/12*(4*c*d*(-2*d*g+e*f)-e*(2*a*e*g-4*b*d*g+b*e*f)+e*(b*e*g-4*c*d*g+2*c*e*f)*x)*(c*x^2+b*x+a)^(3/2)/e^4/(e*x+d)^2-1/3*(-e*g*x-2*d*g+e*f)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)^3+5/16*(b^3*e^3*g+32*c^3*d^2*(-2*d*g+e*f)+6*b*c*e^2*(2*a*e*g-4*b*d*g+b*e*f)-8*c^2*e*(2*b*d*(-5*d*g+2*e*f)-a*e*(-4*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^7-5/16*(32*c^3*d^3*(-2*d*g+e*f)-b^2*e^3*(6*a*e*g-7*b*d*g+b*e*f)-2*c*e^2*(4*a^2*e^2*g-b^2*d*(-28*d*g+9*e*f)+2*a*b*e*(-13*d*g+3*e*f))+8*c^2*d*e*(a*e*(-8*d*g+3*e*f)-2*b*d*(-7*d*g+3*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7/sqrt(a*e^2-b*d*e+c*d^2),1],
[(g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^5,x,9,-5/8*(3*b^2*e^2*g-8*c^2*d*(-3*d*g+e*f)+4*c*e*(a*e*g-5*b*d*g+b*e*f))*sqrt(c*x^2+b*x+a)/e^6/(e*x+d)+5/64*(16*c^2*d^2*(-3*d*g+e*f)+b*e^2*(16*a*e*g-17*b*d*g+b*e*f)+4*c*e*(a*e*(-11*d*g+3*e*f)-4*b*d*(-4*d*g+e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+5/24*(8*c*d*(-3*d*g+e*f)-e*(4*a*e*g-11*b*d*g+b*e*f)+6*e*(b*e*g-3*c*d*g+c*e*f)*x)*(c*x^2+b*x+a)^(3/2)/e^4/(e*x+d)^3-1/4*(-2*e*g*x-3*d*g+e*f)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)^4+5/8*sqrt(c)*(3*b^2*e^2*g-8*c^2*d*(-3*d*g+e*f)+4*c*e*(a*e*g-5*b*d*g+b*e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^7+5/128*(128*c^4*d^4*(-3*d*g+e*f)-b^3*e^4*(-8*a*e*g+7*b*d*g+b*e*f)+8*b*c*e^3*(12*a^2*e^2*g-b^2*d*(-21*d*g+2*e*f)+3*a*b*e*(-11*d*g+e*f))+64*c^3*d^2*e*(a*e*(-10*d*g+3*e*f)-2*b*d*(-7*d*g+2*e*f))+48*c^2*e^2*(b^2*d^2*(-14*d*g+3*e*f)-2*a*b*d*e*(-9*d*g+2*e*f)+a^2*e^2*(-5*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^6,x,10,-1/2*c*(5*b*e*g-12*c*d*g+2*c*e*f)*sqrt(c*x^2+b*x+a)/e^6/(e*x+d)-1/128*(32*c^3*d^3*(-6*d*g+e*f)+b^2*e^3*(-10*a*e*g+7*b*d*g+3*b*e*f)-2*c*e^2*(60*a^2*e^2*g-5*b^2*d*(-18*d*g+e*f)+14*a*b*e*(-11*d*g+e*f))-8*c^2*d*e*(2*b*d*(-23*d*g+3*e*f)-7*a*e*(-6*d*g+e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-1/6*(5*b*e*g-12*c*d*g+2*c*e*f)*(c*x^2+b*x+a)^(3/2)/e^4/(e*x+d)^3-1/16*(2*c*d*(-6*d*g+e*f)-e*(10*a*e*g-11*b*d*g+b*e*f))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^3/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4-1/5*(-5*e*g*x-6*d*g+e*f)*(c*x^2+b*x+a)^(5/2)/e^2/(e*x+d)^5+1/2*c^(3/2)*(5*b*e*g-12*c*d*g+2*c*e*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^7-1/256*(256*c^5*d^5*(-6*d*g+e*f)-b^4*e^5*(-10*a*e*g+7*b*d*g+3*b*e*f)-80*c^2*e^3*(6*a^3*e^3*g+b^3*d^2*(-21*d*g+e*f)-3*a*b^2*d*e*(-16*d*g+e*f)+3*a^2*b*e^2*(-11*d*g+e*f))+160*c^3*d*e^2*(-a*e+b*d)*(b*d*(-28*d*g+3*e*f)-3*a*e*(-6*d*g+e*f))-640*c^4*d^3*e*(b*d*(-7*d*g+e*f)-a*e*(-6*d*g+e*f))-10*b^2*c*e^4*(24*a^2*e^2*g-4*a*b*e*(9*d*g+e*f)+b^2*d*(14*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^7/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(e*x+d)^2*(g*x+f)*(c*x^2+b*x+a)^(7/2),x,8,-7/262144*(-4*a*c+b^2)^3*(80*c^3*d^2*f-13*b^3*e^2*g+2*b*c*e*(6*a*e*g+11*b*(2*d*g+e*f))-8*c^2*(5*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^7+7/98304*(-4*a*c+b^2)^2*(80*c^3*d^2*f-13*b^3*e^2*g+2*b*c*e*(6*a*e*g+11*b*(2*d*g+e*f))-8*c^2*(5*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^6-7/30720*(-4*a*c+b^2)*(80*c^3*d^2*f-13*b^3*e^2*g+2*b*c*e*(6*a*e*g+11*b*(2*d*g+e*f))-8*c^2*(5*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^5+1/1280*(80*c^3*d^2*f-13*b^3*e^2*g+2*b*c*e*(6*a*e*g+11*b*(2*d*g+e*f))-8*c^2*(5*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(7/2)/c^4+1/11*g*(e*x+d)^2*(c*x^2+b*x+a)^(9/2)/c+1/3960*(143*b^2*e^2*g+80*c^2*d*(d*g+11*e*f)-2*c*e*(40*a*e*g+121*b*(2*d*g+e*f))+18*c*e*(-13*b*e*g+4*c*d*g+22*c*e*f)*x)*(c*x^2+b*x+a)^(9/2)/c^3+7/524288*(-4*a*c+b^2)^4*(80*c^3*d^2*f-13*b^3*e^2*g+2*b*c*e*(6*a*e*g+11*b*(2*d*g+e*f))-8*c^2*(5*b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(15/2),1],
[(e*x+d)*(g*x+f)*(c*x^2+b*x+a)^(7/2),x,7,-7/131072*(-4*a*c+b^2)^3*(40*c^2*d*f+11*b^2*e*g-4*c*(a*e*g+5*b*(d*g+e*f)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6+7/49152*(-4*a*c+b^2)^2*(40*c^2*d*f+11*b^2*e*g-4*c*(a*e*g+5*b*(d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^5-7/15360*(-4*a*c+b^2)*(40*c^2*d*f+11*b^2*e*g-4*c*(a*e*g+5*b*(d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^4+1/640*(40*c^2*d*f+11*b^2*e*g-4*c*(a*e*g+5*b*(d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(7/2)/c^3-1/180*(11*b*e*g-20*c*(d*g+e*f)-18*c*e*g*x)*(c*x^2+b*x+a)^(9/2)/c^2+7/262144*(-4*a*c+b^2)^4*(40*c^2*d*f+11*b^2*e*g-4*c*(a*e*g+5*b*(d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2),x,7,-35/32768*(-4*a*c+b^2)^3*(-b*g+2*c*f)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+35/12288*(-4*a*c+b^2)^2*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4-7/768*(-4*a*c+b^2)*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^3+1/32*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(7/2)/c^2+1/9*g*(c*x^2+b*x+a)^(9/2)/c+35/65536*(-4*a*c+b^2)^4*(-b*g+2*c*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d),x,9,-1/16384*(35*b^7*e^7*g-16384*c^7*d^6*(-d*g+e*f)+4096*c^6*d^4*e*(-12*a*e+13*b*d)*(-d*g+e*f)-1024*c^5*d^2*e^2*(48*a^2*e^2-107*a*b*d*e+58*b^2*d^2)*(-d*g+e*f)+256*c^4*e^3*(-64*a^3*e^3+230*a^2*b*d*e^2-258*a*b^2*d^2*e+93*b^3*d^3)*(-d*g+e*f)-20*b^5*c*e^6*(21*a*e*g-4*b*d*g+4*b*e*f)+16*b^3*c^2*e^5*(105*a^2*e^2*g-14*b^2*d*(-d*g+e*f)+64*a*b*e*(-d*g+e*f))-64*b*c^3*e^4*(35*a^3*e^3*g+14*b^3*d^2*(-d*g+e*f)-56*a*b^2*d*e*(-d*g+e*f)+76*a^2*b*e^2*(-d*g+e*f))+2*c*e*(35*b^6*e^6*g+4096*c^6*d^5*(-d*g+e*f)-1024*c^5*d^3*e*(-11*a*e+10*b*d)*(-d*g+e*f)+256*c^4*d*e^2*(38*a^2*e^2-66*a*b*d*e+29*b^2*d^2)*(-d*g+e*f)-20*b^4*c*e^5*(21*a*e*g-4*b*d*g+4*b*e*f)+16*b^2*c^2*e^4*(105*a^2*e^2*g-14*b^2*d*(-d*g+e*f)+64*a*b*e*(-d*g+e*f))-64*c^3*e^3*(35*a^3*e^3*g+14*b^3*d^2*(-d*g+e*f)-56*a*b^2*d*e*(-d*g+e*f)+76*a^2*b*e^2*(-d*g+e*f)))*x)*sqrt(c*x^2+b*x+a)/c^4/e^8+1/6144*(35*b^5*e^5*g+2048*c^5*d^4*(-d*g+e*f)-256*c^4*d^2*e*(-16*a*e+19*b*d)*(-d*g+e*f)+128*c^3*e^2*(16*a^2*e^2-43*a*b*d*e+25*b^2*d^2)*(-d*g+e*f)-40*b^3*c*e^4*(7*a*e*g-2*b*d*g+2*b*e*f)+16*b*c^2*e^3*(35*a^2*e^2*g-14*b^2*d*(-d*g+e*f)+44*a*b*e*(-d*g+e*f))+2*c*e*(12*c*e*(-b*e+2*c*d)*(7*b^2*d*e*g+16*b*c*d*(-d*g+e*f)-4*a*c*e*(-d*g+8*e*f))+2*(5/2*(-4*a*c+b^2)*e^2-6*c*d*(-b*e+2*c*d))*(7*b^2*e^2*g+32*c^2*d*(-d*g+e*f)-4*c*e*(7*a*e*g-4*b*d*g+4*b*e*f)))*x)*(c*x^2+b*x+a)^(3/2)/c^3/e^6-1/1920*(35*b^3*e^3*g-384*c^3*d^2*(-d*g+e*f)+32*c^2*e*(-12*a*e+17*b*d)*(-d*g+e*f)-20*b*c*e^2*(7*a*e*g-4*b*d*g+4*b*e*f)+10*c*e*(7*b^2*e^2*g+32*c^2*d*(-d*g+e*f)-4*c*e*(7*a*e*g-4*b*d*g+4*b*e*f))*x)*(c*x^2+b*x+a)^(5/2)/c^2/e^4+1/112*(14*c*e*g*x+7*b*e*g-16*c*d*g+16*c*e*f)*(c*x^2+b*x+a)^(7/2)/c/e^2+1/32768*(35*b^8*e^8*g-32768*c^8*d^7*(-d*g+e*f)+114688*c^7*d^5*e*(-a*e+b*d)*(-d*g+e*f)-143360*c^6*d^3*e^2*(-a*e+b*d)^2*(-d*g+e*f)+71680*c^5*d*e^3*(-a*e+b*d)^3*(-d*g+e*f)-80*b^6*c*e^7*(7*a*e*g-b*d*g+b*e*f)+224*b^4*c^2*e^6*(15*a^2*e^2*g-b^2*d*(-d*g+e*f)+6*a*b*e*(-d*g+e*f))-896*b^2*c^3*e^5*(10*a^3*e^3*g+b^3*d^2*(-d*g+e*f)-5*a*b^2*d*e*(-d*g+e*f)+10*a^2*b*e^2*(-d*g+e*f))+8960*c^4*e^4*(a^4*e^4*g-b^4*d^3*(-d*g+e*f)+4*a*b^3*d^2*e*(-d*g+e*f)-6*a^2*b^2*d*e^2*(-d*g+e*f)+4*a^3*b*e^3*(-d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2)/e^9+(a*e^2-b*d*e+c*d^2)^(7/2)*(-d*g+e*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9,1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^2,x,9,1/3072*(15*b^6*e^6*g-3072*c^6*d^5*(-8*d*g+7*e*f)+48*c^3*e^3*(64*a^3*e^3*g-2*a*b^2*d*e*(-451*d*g+322*e*f)+b^3*d^2*(-436*d*g+343*e*f)+2*a^2*b*e^2*(-262*d*g+147*e*f))+768*c^5*d^3*e*(b*d*(-90*d*g+77*e*f)-4*a*e*(-17*d*g+14*e*f))+192*c^4*d*e^2*(a*b*d*e*(-492*d*g+385*e*f)-2*b^2*d^2*(-169*d*g+140*e*f)-16*a^2*e^2*(-10*d*g+7*e*f))-6*b^4*c*e^5*(32*a*e*g+7*b*(-2*d*g+e*f))+24*b^2*c^2*e^4*(38*a^2*e^2*g-7*b^2*d*(-3*d*g+2*e*f)+28*a*b*e*(-2*d*g+e*f))+2*c*e*(8*c*e*(-b*e+2*c*d)*(12*c*e*(-2*a*e+b*d)*(2*a*e*g-8*b*d*g+7*b*e*f)-d*(-4*a*c*e-5*b^2*e+12*b*c*d)*(b*e*g-16*c*d*g+14*c*e*f))+2*(3/2*(-4*a*c+b^2)*e^2-4*c*d*(-b*e+2*c*d))*(12*c*e*(-b*e+2*c*d)*(2*a*e*g-8*b*d*g+7*b*e*f)+2*(5/2*(-4*a*c+b^2)*e^2-6*c*d*(-b*e+2*c*d))*(b*e*g+2*c*(-8*d*g+7*e*f))))*x)*sqrt(c*x^2+b*x+a)/c^3/e^8-1/384*(5*b^4*e^4*g+128*c^4*d^3*(-8*d*g+7*e*f)-8*c^2*e^2*(16*a^2*e^2*g+a*b*e*(-134*d*g+91*e*f)-b^2*d*(-123*d*g+98*e*f))-16*c^3*d*e*(b*d*(-124*d*g+105*e*f)-8*a*e*(-9*d*g+7*e*f))-2*b^2*c*e^3*(22*a*e*g+7*b*(-2*d*g+e*f))+2*c*e*(12*c*e*(-b*e+2*c*d)*(2*a*e*g-8*b*d*g+7*b*e*f)+2*(5/2*(-4*a*c+b^2)*e^2-6*c*d*(-b*e+2*c*d))*(b*e*g+2*c*(-8*d*g+7*e*f)))*x)*(c*x^2+b*x+a)^(3/2)/c^2/e^6+1/120*(5*b^2*e^2*g-24*c^2*d*(-8*d*g+7*e*f)+2*c*e*(12*a*e*g-94*b*d*g+77*b*e*f)+10*c*e*(b*e*g-16*c*d*g+14*c*e*f)*x)*(c*x^2+b*x+a)^(5/2)/c/e^4-1/7*(-e*g*x-8*d*g+7*e*f)*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)-1/2048*(5*b^7*e^7*g-2048*c^7*d^6*(-8*d*g+7*e*f)-14*b^5*c*e^6*(6*a*e*g-2*b*d*g+b*e*f)+7168*c^6*d^4*e*(b*d*(-7*d*g+6*e*f)-a*e*(-6*d*g+5*e*f))-8960*c^5*d^2*e^2*(-a*e+b*d)*(b*d*(-6*d*g+5*e*f)-a*e*(-4*d*g+3*e*f))+4480*c^4*e^3*(-a*e+b*d)^2*(b*d*(-5*d*g+4*e*f)-a*e*(-2*d*g+e*f))+56*b^3*c^2*e^5*(10*a^2*e^2*g-b^2*d*(-3*d*g+2*e*f)+5*a*b*e*(-2*d*g+e*f))-560*b*c^3*e^4*(4*a^3*e^3*g+b^3*d^2*(-4*d*g+3*e*f)-4*a*b^2*d*e*(-3*d*g+2*e*f)+6*a^2*b*e^2*(-2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2)/e^9-1/2*(a*e^2-b*d*e+c*d^2)^(5/2)*(2*c*d*(-8*d*g+7*e*f)-e*(2*a*e*g-9*b*d*g+7*b*e*f))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9,1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^3,x,9,-7/1536*(3*b^5*e^5*g-1536*c^5*d^4*(-4*d*g+3*e*f)-12*b^3*c*e^4*(4*a*e*g-3*b*d*g+b*e*f)-24*b*c^2*e^3*(42*a^2*e^2*g-b^2*d*(-114*d*g+65*e*f)+2*a*b*e*(-77*d*g+31*e*f))+384*c^4*d^2*e*(b*d*(-38*d*g+27*e*f)-2*a*e*(-11*d*g+7*e*f))+96*c^3*e^2*(a*b*d*e*(-122*d*g+67*e*f)-4*b^2*d^2*(-29*d*g+19*e*f)-8*a^2*e^2*(-3*d*g+e*f))+2*c*e*(2*(3/2*(-4*a*c+b^2)*e^2-4*c*d*(-b*e+2*c*d))*(b^2*e^2*g-24*c^2*d*(-4*d*g+3*e*f)+4*c*e*(5*a*e*g-15*b*d*g+9*b*e*f))+8*c*e*(-b*e+2*c*d)*(5*b*e*(2*a*e*g-4*b*d*g+3*b*e*f)-2*(-a*e+3*b*d)*(b*e*g-8*c*d*g+6*c*e*f)))*x)*sqrt(c*x^2+b*x+a)/c^2/e^8+7/192*(b^3*e^3*g+64*c^3*d^2*(-4*d*g+3*e*f)+4*b*c*e^2*(13*a*e*g-33*b*d*g+19*b*e*f)-8*c^2*e*(3*b*d*(-16*d*g+11*e*f)-4*a*e*(-3*d*g+e*f))+2*c*e*(b^2*e^2*g-24*c^2*d*(-4*d*g+3*e*f)+4*c*e*(5*a*e*g-15*b*d*g+9*b*e*f))*x)*(c*x^2+b*x+a)^(3/2)/c/e^6+7/60*(12*c*d*(-4*d*g+3*e*f)-e*(10*a*e*g-26*b*d*g+15*b*e*f)+e*(b*e*g-8*c*d*g+6*c*e*f)*x)*(c*x^2+b*x+a)^(5/2)/e^4/(e*x+d)-1/6*(-e*g*x-4*d*g+3*e*f)*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)^2+7/1024*(b^6*e^6*g-1024*c^6*d^5*(-4*d*g+3*e*f)-4*b^4*c*e^5*(5*a*e*g-3*b*d*g+b*e*f)-320*c^3*e^3*(-a*e+b*d)*(a^2*e^2*g+a*b*e*(-8*d*g+3*e*f)-2*b^2*d*(-5*d*g+3*e*f))+512*c^5*d^3*e*(3*b*d*(-7*d*g+5*e*f)-5*a*e*(-3*d*g+2*e*f))+40*b^2*c^2*e^4*(6*a^2*e^2*g+4*a*b*e*(-3*d*g+e*f)-3*b^2*d*(-2*d*g+e*f))+640*c^4*d*e^2*(4*a*b*d*e*(-5*d*g+3*e*f)-5*b^2*d^2*(-3*d*g+2*e*f)-3*a^2*e^2*(-2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/e^9+7/8*(a*e^2-b*d*e+c*d^2)^(3/2)*(8*c^2*d^2*(-4*d*g+3*e*f)+b*e^2*(4*a*e*g-9*b*d*g+5*b*e*f)+4*c*e*(a*e*(-3*d*g+e*f)-3*b*d*(-3*d*g+2*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9,1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^4,x,9,7/128*(b^4*e^4*g-128*c^4*d^3*(-8*d*g+5*e*f)+8*c^2*e^2*(8*a^2*e^2*g+a*b*e*(-92*d*g+25*e*f)-2*b^2*d*(-73*d*g+35*e*f))+2*b^2*c*e^3*(62*a*e*g+5*b*(-20*d*g+7*e*f))+32*c^3*d*e*(b*d*(-62*d*g+35*e*f)-2*a*e*(-12*d*g+5*e*f))+2*c*e*(b^3*e^3*g+32*c^3*d^2*(-8*d*g+5*e*f)-8*c^2*e*(2*b*d*(-19*d*g+10*e*f)-a*e*(-16*d*g+5*e*f))+2*b*c*e^2*(22*a*e*g+5*b*(-8*d*g+3*e*f)))*x)*sqrt(c*x^2+b*x+a)/c/e^8-7/48*(16*c^2*d^2*(-8*d*g+5*e*f)+b*e^2*(18*a*e*g-29*b*d*g+10*b*e*f)-2*c*e*(b*d*(-68*d*g+35*e*f)-2*a*e*(-16*d*g+5*e*f))-e*(b^2*e^2*g-4*c^2*d*(-8*d*g+5*e*f)+2*c*e*(4*a*e*g-11*b*d*g+5*b*e*f))*x)*(c*x^2+b*x+a)^(3/2)/e^6/(e*x+d)+7/120*(6*c*d*(-8*d*g+5*e*f)-e*(12*a*e*g-25*b*d*g+10*b*e*f)+e*(3*b*e*g-16*c*d*g+10*c*e*f)*x)*(c*x^2+b*x+a)^(5/2)/e^4/(e*x+d)^2-1/15*(-3*e*g*x-8*d*g+5*e*f)*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)^3-7/256*(b^5*e^5*g-256*c^5*d^4*(-8*d*g+5*e*f)-10*b^3*c*e^4*(4*a*e*g-4*b*d*g+b*e*f)-80*b*c^2*e^3*(3*a^2*e^2*g-2*b^2*d*(-5*d*g+2*e*f)+3*a*b*e*(-4*d*g+e*f))+160*c^3*e^2*(4*a*b*d*e*(-5*d*g+2*e*f)-a^2*e^2*(-4*d*g+e*f)-10*b^2*d^2*(-2*d*g+e*f))+640*c^4*d^2*e*(b*d*(-7*d*g+4*e*f)-2*a*e*(-2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^9-7/16*sqrt(a*e^2-b*d*e+c*d^2)*(16*c^3*d^3*(-8*d*g+5*e*f)-5*b^2*e^3*(2*a*e*g-3*b*d*g+b*e*f)-2*c*e^2*(4*a^2*e^2*g-b^2*d*(-54*d*g+25*e*f)+2*a*b*e*(-19*d*g+5*e*f))+8*c^2*d*e*(a*e*(-12*d*g+5*e*f)-3*b*d*(-9*d*g+5*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9,1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^5,x,9,35/64*(64*c^3*d^3*(-2*d*g+e*f)-b^2*e^3*(6*a*e*g-8*b*d*g+b*e*f)-4*c*e^2*(2*a^2*e^2*g+a*b*e*(-16*d*g+3*e*f)-2*b^2*d*(-10*d*g+3*e*f))-16*c^2*d*e*(b*d*(-12*d*g+5*e*f)-2*a*e*(-3*d*g+e*f))+e*(b^3*e^3*g+32*c^3*d^2*(-2*d*g+e*f)+6*b*c*e^2*(2*a*e*g-4*b*d*g+b*e*f)-8*c^2*e*(2*b*d*(-5*d*g+2*e*f)-a*e*(-4*d*g+e*f)))*x)*sqrt(c*x^2+b*x+a)/e^8/(e*x+d)-35/96*(16*c^2*d^2*(-2*d*g+e*f)+b*e^2*(4*a*e*g-6*b*d*g+b*e*f)-4*c*e*(b*d*(-8*d*g+3*e*f)-a*e*(-4*d*g+e*f))-e*(b^2*e^2*g-8*c^2*d*(-2*d*g+e*f)+4*c*e*(a*e*g-3*b*d*g+b*e*f))*x)*(c*x^2+b*x+a)^(3/2)/e^6/(e*x+d)^2+7/24*(4*c*d*(-2*d*g+e*f)-e*(2*a*e*g-4*b*d*g+b*e*f)+e*(b*e*g-4*c*d*g+2*c*e*f)*x)*(c*x^2+b*x+a)^(5/2)/e^4/(e*x+d)^3-1/4*(-e*g*x-2*d*g+e*f)*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)^4+35/128*(b^4*e^4*g-128*c^4*d^3*(-2*d*g+e*f)+8*b^2*c*e^3*(3*a*e*g-5*b*d*g+b*e*f)+16*c^2*e^2*(a^2*e^2*g+2*a*b*e*(-5*d*g+e*f)-5*b^2*d*(-3*d*g+e*f))+64*c^3*d*e*(b*d*(-7*d*g+3*e*f)-a*e*(-3*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^9+35/128*(128*c^4*d^4*(-2*d*g+e*f)+b^3*e^4*(8*a*e*g-9*b*d*g+b*e*f)+8*b*c*e^3*(4*a^2*e^2*g+a*b*e*(-17*d*g+3*e*f)-b^2*d*(-15*d*g+4*e*f))+16*c^2*e^2*(b^2*d^2*(-27*d*g+10*e*f)-2*a*b*d*e*(-13*d*g+4*e*f)+a^2*e^2*(-5*d*g+e*f))-64*c^3*d^2*e*(b*d*(-9*d*g+4*e*f)-a*e*(-5*d*g+2*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9/sqrt(a*e^2-b*d*e+c*d^2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^6,x,10,-7/16*(5*b^3*e^3*g+16*c^3*d^2*(-8*d*g+3*e*f)+10*b*c*e^2*(2*a*e*g-6*b*d*g+b*e*f)-8*c^2*e*(3*b*d*(-7*d*g+2*e*f)-a*e*(-6*d*g+e*f)))*sqrt(c*x^2+b*x+a)/e^8/(e*x+d)-7/128*(32*c^3*d^3*(-8*d*g+3*e*f)-b^2*e^3*(30*a*e*g-31*b*d*g+b*e*f)+8*c^2*d*e*(a*e*(-36*d*g+11*e*f)-2*b*d*(-29*d*g+9*e*f))-2*c*e^2*(20*a^2*e^2*g+2*a*b*e*(-61*d*g+11*e*f)-5*b^2*d*(-24*d*g+5*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^7/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-7/48*(16*c^2*d^2*(-8*d*g+3*e*f)+b*e^2*(10*a*e*g-21*b*d*g+b*e*f)+2*c*e*(4*a*e*(-6*d*g+e*f)-15*b*d*(-4*d*g+e*f))-2*e*(5*b^2*e^2*g-6*c^2*d*(-8*d*g+3*e*f)+c*e*(10*a*e*g-39*b*d*g+9*b*e*f))*x)*(c*x^2+b*x+a)^(3/2)/e^6/(e*x+d)^3+7/120*(6*c*d*(-8*d*g+3*e*f)-e*(10*a*e*g-23*b*d*g+3*b*e*f)+2*e*(5*b*e*g-16*c*d*g+6*c*e*f)*x)*(c*x^2+b*x+a)^(5/2)/e^4/(e*x+d)^4-1/15*(-5*e*g*x-8*d*g+3*e*f)*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)^5+7/16*sqrt(c)*(5*b^3*e^3*g+16*c^3*d^2*(-8*d*g+3*e*f)+10*b*c*e^2*(2*a*e*g-6*b*d*g+b*e*f)-8*c^2*e*(3*b*d*(-7*d*g+2*e*f)-a*e*(-6*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^9-7/256*(256*c^5*d^5*(-8*d*g+3*e*f)-640*c^4*d^3*e*(-2*a*e+3*b*d)*(-3*d*g+e*f)+b^4*e^5*(-10*a*e*g+9*b*d*g+b*e*f)-10*b^2*c*e^4*(24*a^2*e^2*g+4*a*b*e*(-15*d*g+e*f)-3*b^2*d*(-12*d*g+e*f))-80*c^2*e^3*(2*a^3*e^3*g-3*a*b^2*d*e*(-16*d*g+3*e*f)+3*a^2*b*e^2*(-7*d*g+e*f)+6*b^3*d^2*(-5*d*g+e*f))+160*c^3*d*e^2*(2*b^2*d^2*(-18*d*g+5*e*f)-4*a*b*d*e*(-11*d*g+3*e*f)+3*a^2*e^2*(-4*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^7,x,11,-7/8*c*(5*b^2*e^2*g-8*c^2*d*(-4*d*g+e*f)+4*c*e*(a*e*g-7*b*d*g+b*e*f))*sqrt(c*x^2+b*x+a)/e^8/(e*x+d)+7/512*(128*c^4*d^4*(-4*d*g+e*f)-b^3*e^4*(-4*a*e*g+3*b*d*g+b*e*f)+4*b*c*e^3*(44*a^2*e^2*g-b^2*d*(-53*d*g+2*e*f)+2*a*b*e*(-49*d*g+2*e*f))+8*c^2*e^2*(b^2*d^2*(-114*d*g+17*e*f)-2*a*b*d*e*(-83*d*g+14*e*f)+2*a^2*e^2*(-27*d*g+5*e*f))+32*c^3*d^2*e*(a*e*(-30*d*g+7*e*f)-2*b*d*(-19*d*g+4*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^7/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-7/24*(5*b^2*e^2*g-8*c^2*d*(-4*d*g+e*f)+4*c*e*(a*e*g-7*b*d*g+b*e*f))*(c*x^2+b*x+a)^(3/2)/e^6/(e*x+d)^3+7/192*(24*c^2*d^2*(-4*d*g+e*f)+b*e^2*(36*a*e*g-37*b*d*g+b*e*f)+4*c*e*(a*e*(-23*d*g+5*e*f)-3*b*d*(-11*d*g+2*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^5/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4+7/60*(12*c*d*(-4*d*g+e*f)-e*(6*a*e*g-22*b*d*g+b*e*f)+5*e*(3*b*e*g-8*c*d*g+2*c*e*f)*x)*(c*x^2+b*x+a)^(5/2)/e^4/(e*x+d)^5-1/6*(-3*e*g*x-4*d*g+e*f)*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)^6+7/8*c^(3/2)*(5*b^2*e^2*g-8*c^2*d*(-4*d*g+e*f)+4*c*e*(a*e*g-7*b*d*g+b*e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^9+7/1024*(1024*c^6*d^6*(-4*d*g+e*f)+b^5*e^6*(-4*a*e*g+3*b*d*g+b*e*f)+40*b*c^2*e^4*(24*a^3*e^3*g-4*a*b^2*d*e*(-33*d*g+2*e*f)+3*b^3*d^2*(-18*d*g+e*f)+6*a^2*b*e^2*(-17*d*g+e*f))+512*c^5*d^4*e*(a*e*(-21*d*g+5*e*f)-3*b*d*(-9*d*g+2*e*f))+320*c^3*e^3*(-a*e+b*d)*(a*b*d*e*(-32*d*g+5*e*f)-2*b^2*d^2*(-15*d*g+2*e*f)-a^2*e^2*(-7*d*g+e*f))+640*c^4*d^2*e^2*(b^2*d^2*(-27*d*g+5*e*f)+a^2*e^2*(-14*d*g+3*e*f)-8*a*b*d*e*(-5*d*g+e*f))+4*b^3*c*e^5*(40*a^2*e^2*g-5*a*b*e*(13*d*g+e*f)+b^2*d*(27*d*g+2*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^8,x,12,-1/2*c^2*(7*b*e*g-16*c*d*g+2*c*e*f)*sqrt(c*x^2+b*x+a)/e^8/(e*x+d)-1/1024*(256*c^5*d^5*(-8*d*g+e*f)-b^4*e^5*(-14*a*e*g+9*b*d*g+5*b*e*f)-8*c^2*e^3*(140*a^3*e^3*g-14*a*b^2*d*e*(-49*d*g+2*e*f)+7*b^3*d^2*(-37*d*g+e*f)+38*a^2*b*e^2*(-15*d*g+e*f))-64*c^4*d^3*e*(2*b*d*(-47*d*g+5*e*f)-11*a*e*(-8*d*g+e*f))+16*c^3*d*e^2*(b^2*d^2*(-372*d*g+29*e*f)-22*a*b*d*e*(-31*d*g+3*e*f)+38*a^2*e^2*(-8*d*g+e*f))-2*b^2*c*e^4*(112*a^2*e^2*g+7*b^2*d*(6*d*g+e*f)-8*a*b*e*(17*d*g+4*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^7/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^2-1/6*c*(7*b*e*g-16*c*d*g+2*c*e*f)*(c*x^2+b*x+a)^(3/2)/e^6/(e*x+d)^3-1/384*(48*c^3*d^3*(-8*d*g+e*f)+b^2*e^3*(-14*a*e*g+9*b*d*g+5*b*e*f)-2*c*e^2*(140*a^2*e^2*g-7*b^2*d*(-26*d*g+e*f)+22*a*b*e*(-15*d*g+e*f))-8*c^2*d*e*(3*b*d*(-31*d*g+3*e*f)-11*a*e*(-8*d*g+e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^5/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^4-1/10*(7*b*e*g-16*c*d*g+2*c*e*f)*(c*x^2+b*x+a)^(5/2)/e^4/(e*x+d)^5-1/24*(2*c*d*(-8*d*g+e*f)-e*(14*a*e*g-15*b*d*g+b*e*f))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/2)/e^3/(a*e^2-b*d*e+c*d^2)/(e*x+d)^6-1/7*(-7*e*g*x-8*d*g+e*f)*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)^7+1/2*c^(5/2)*(7*b*e*g-16*c*d*g+2*c*e*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^9-1/2048*(2048*c^7*d^7*(-8*d*g+e*f)+b^6*e^7*(-14*a*e*g+9*b*d*g+5*b*e*f)-560*c^3*e^4*(8*a^4*e^4*g-b^4*d^3*(-36*d*g+e*f)+4*a*b^3*d^2*e*(-29*d*g+e*f)-6*a^2*b^2*d*e^2*(-22*d*g+e*f)+4*a^3*b*e^3*(-15*d*g+e*f))+1792*c^5*d^3*e^2*(-a*e+b*d)*(b*d*(-54*d*g+5*e*f)-5*a*e*(-8*d*g+e*f))-4480*c^4*d*e^3*(-a*e+b*d)^2*(b*d*(-15*d*g+e*f)-a*e*(-8*d*g+e*f))-7168*c^6*d^5*e*(b*d*(-9*d*g+e*f)-a*e*(-8*d*g+e*f))+14*b^4*c*e^6*(20*a^2*e^2*g+b^2*d*(6*d*g+e*f)-2*a*b*e*(11*d*g+3*e*f))-56*b^2*c^2*e^5*(60*a^3*e^3*g-10*a^2*b*e^2*(13*d*g+e*f)+5*a*b^2*d*e*(20*d*g+e*f)-b^3*d^2*(27*d*g+e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^9,x,13,-c^3*g*sqrt(c*x^2+b*x+a)/e^8/(e*x+d)-1/16384*(16*b^5*e^5*(-5*a*e^2+9*c*d^2)*g-128*b^3*c*e^3*(-8*a^2*e^4+27*a*c*d^2*e^2+65*c^2*d^4)*g-256*b*c^2*e*(19*a^3*e^6+123*a^2*c*d^2*e^4+150*a*c^2*d^4*e^2+56*c^3*d^6)*g+5*b^6*e^6*(9*d*g+7*e*f)+64*c^3*(64*c^3*d^7*g+240*a*c^2*d^5*e^2*g+328*a^2*c*d^3*e^4*g-a^3*e^6*(-187*d*g+35*e*f))+12*b^4*c*e^4*(56*c*d^3*g-a*e^2*(69*d*g+35*e*f))+16*b^2*c^2*e^2*(1104*c^2*d^5*g+1744*a*c*d^3*e^2*g+3*a^2*e^4*(141*d*g+35*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^7/(a*e^2-b*d*e+c*d^2)^4/(e*x+d)^2-1/3*c^2*g*(c*x^2+b*x+a)^(3/2)/e^6/(e*x+d)^3+1/6144*(16*b^3*e^3*(-5*a*e^2+9*c*d^2)*g+64*b*c*e*(11*a^2*e^4+51*a*c*d^2*e^2+30*c^2*d^4)*g+5*b^4*e^4*(9*d*g+7*e*f)-16*c^2*(48*c^2*d^5*g+136*a*c*d^3*e^2*g-a^2*e^4*(-123*d*g+35*e*f))-8*b^2*c*e^2*(172*c*d^3*g+a*e^2*(81*d*g+35*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^5/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^4-1/5*c*g*(c*x^2+b*x+a)^(5/2)/e^4/(e*x+d)^5+1/384*(16*b*e*(a*e^2+3*c*d^2)*g-b^2*e^2*(9*d*g+7*e*f)-4*c*(8*c*d^3*g-a*e^2*(-15*d*g+7*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/2)/e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^6-1/7*g*(c*x^2+b*x+a)^(7/2)/e^2/(e*x+d)^7+1/16*(-d*g+e*f)*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(7/2)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^8+c^(7/2)*g*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^9+1/32768*(16*b^7*e^7*(-5*a*e^2+9*c*d^2)*g+1344*b^5*c*e^5*(a^2*e^4-3*a*c*d^2*e^2+6*c^2*d^4)*g+8960*b^3*c^2*e^3*(-a^3*e^6+9*a^2*c*d^2*e^4+36*a*c^2*d^4*e^2+24*c^3*d^6)*g+1024*b*c^3*e*(35*a^4*e^8+315*a^3*c*d^2*e^6+630*a^2*c^2*d^4*e^4+504*a*c^3*d^6*e^2+144*c^4*d^8)*g+5*b^8*e^8*(9*d*g+7*e*f)-256*c^4*(128*c^4*d^9*g+576*a*c^3*d^7*e^2*g+1008*a^2*c^2*d^5*e^4*g+840*a^3*c*d^3*e^6*g-35*a^4*e^8*(-9*d*g+e*f))-3360*b^4*c^2*e^4*(24*c^2*d^5*g+12*a*c*d^3*e^2*g-a^2*e^4*(3*d*g+e*f))-1792*b^2*c^3*e^2*(144*c^3*d^7*g+360*a*c^2*d^5*e^2*g+270*a^2*c*d^3*e^4*g+5*a^3*e^6*(9*d*g+e*f))+112*b^6*c*e^6*(6*c*d^3*g-a*e^2*(9*d*g+5*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^9/(a*e^2-b*d*e+c*d^2)^(9/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^10,x,7,-35/32768*(-4*a*c+b^2)^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)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^5/(e*x+d)^2+35/12288*(-4*a*c+b^2)^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)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^4/(e*x+d)^4-7/768*(-4*a*c+b^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)*(c*x^2+b*x+a)^(5/2)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^6+1/32*(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)*(c*x^2+b*x+a)^(7/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^8-1/9*(-d*g+e*f)*(c*x^2+b*x+a)^(9/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^9+35/65536*(-4*a*c+b^2)^4*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(11/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^11,x,8,-7/131072*(-4*a*c+b^2)^3*(40*c^2*d^2*f+b*e*(-20*a*e*g+9*b*d*g+11*b*e*f)-4*c*(a*e*(-11*d*g+e*f)+5*b*d*(d*g+2*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^6/(e*x+d)^2+7/49152*(-4*a*c+b^2)^2*(40*c^2*d^2*f+b*e*(-20*a*e*g+9*b*d*g+11*b*e*f)-4*c*(a*e*(-11*d*g+e*f)+5*b*d*(d*g+2*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^5/(e*x+d)^4-7/15360*(-4*a*c+b^2)*(40*c^2*d^2*f+b*e*(-20*a*e*g+9*b*d*g+11*b*e*f)-4*c*(a*e*(-11*d*g+e*f)+5*b*d*(d*g+2*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/2)/(a*e^2-b*d*e+c*d^2)^4/(e*x+d)^6+1/640*(40*c^2*d^2*f+b*e*(-20*a*e*g+9*b*d*g+11*b*e*f)-4*c*(a*e*(-11*d*g+e*f)+5*b*d*(d*g+2*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(7/2)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^8-1/10*(-d*g+e*f)*(c*x^2+b*x+a)^(9/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^10-1/180*(2*c*d*(-d*g+11*e*f)-e*(-20*a*e*g+9*b*d*g+11*b*e*f))*(c*x^2+b*x+a)^(9/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^9+7/262144*(-4*a*c+b^2)^4*(40*c^2*d^2*f+b*e*(-20*a*e*g+9*b*d*g+11*b*e*f)-4*c*(a*e*(-11*d*g+e*f)+5*b*d*(d*g+2*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(13/2),1],
[(g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^12,x,9,-7/262144*(-4*a*c+b^2)^3*(80*c^3*d^3*f-b^2*e^2*(-22*a*e*g+9*b*d*g+13*b*e*f)-8*c^2*d*(3*a*e*(-4*d*g+e*f)+5*b*d*(d*g+3*e*f))-2*c*e*(4*a^2*e^2*g-6*a*b*e*(-7*d*g+e*f)-3*b^2*d*(6*d*g+11*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^7/(e*x+d)^2+7/98304*(-4*a*c+b^2)^2*(80*c^3*d^3*f-b^2*e^2*(-22*a*e*g+9*b*d*g+13*b*e*f)-8*c^2*d*(3*a*e*(-4*d*g+e*f)+5*b*d*(d*g+3*e*f))-2*c*e*(4*a^2*e^2*g-6*a*b*e*(-7*d*g+e*f)-3*b^2*d*(6*d*g+11*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^6/(e*x+d)^4-7/30720*(-4*a*c+b^2)*(80*c^3*d^3*f-b^2*e^2*(-22*a*e*g+9*b*d*g+13*b*e*f)-8*c^2*d*(3*a*e*(-4*d*g+e*f)+5*b*d*(d*g+3*e*f))-2*c*e*(4*a^2*e^2*g-6*a*b*e*(-7*d*g+e*f)-3*b^2*d*(6*d*g+11*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/2)/(a*e^2-b*d*e+c*d^2)^5/(e*x+d)^6+1/1280*(80*c^3*d^3*f-b^2*e^2*(-22*a*e*g+9*b*d*g+13*b*e*f)-8*c^2*d*(3*a*e*(-4*d*g+e*f)+5*b*d*(d*g+3*e*f))-2*c*e*(4*a^2*e^2*g-6*a*b*e*(-7*d*g+e*f)-3*b^2*d*(6*d*g+11*e*f)))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(7/2)/(a*e^2-b*d*e+c*d^2)^4/(e*x+d)^8-1/11*(-d*g+e*f)*(c*x^2+b*x+a)^(9/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^11-1/220*(c*(-4*d^2*g+26*d*e*f)-e*(-22*a*e*g+9*b*d*g+13*b*e*f))*(c*x^2+b*x+a)^(9/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^10-1/3960*(4*c^2*d^2*(-2*d*g+123*e*f)+11*b*e^2*(-22*a*e*g+9*b*d*g+13*b*e*f)-2*c*e*(2*a*e*(-141*d*g+20*e*f)+3*b*d*(39*d*g+82*e*f)))*(c*x^2+b*x+a)^(9/2)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^9+7/524288*(-4*a*c+b^2)^4*(80*c^3*d^3*f-b^2*e^2*(-22*a*e*g+9*b*d*g+13*b*e*f)-8*c^2*d*(3*a*e*(-4*d*g+e*f)+5*b*d*(d*g+3*e*f))-2*c*e*(4*a^2*e^2*g-6*a*b*e*(-7*d*g+e*f)-3*b^2*d*(6*d*g+11*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(15/2),1],
[(5-x)*(3+2*x)^4*sqrt(3*x^2+5*x+2),x,7,25969/15552*(5+6*x)*sqrt(3*x^2+5*x+2)+478/315*(3+2*x)^2*(3*x^2+5*x+2)^(3/2)+229/378*(3+2*x)^3*(3*x^2+5*x+2)^(3/2)-1/21*(3+2*x)^4*(3*x^2+5*x+2)^(3/2)+1/68040*(874301+378774*x)*(3*x^2+5*x+2)^(3/2)-25969/15552*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^3*sqrt(3*x^2+5*x+2),x,6,6221/5184*(5+6*x)*sqrt(3*x^2+5*x+2)+11/15*(3+2*x)^2*(3*x^2+5*x+2)^(3/2)-1/18*(3+2*x)^3*(3*x^2+5*x+2)^(3/2)+1/3240*(27487+11538*x)*(3*x^2+5*x+2)^(3/2)-6221/5184*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^2*sqrt(3*x^2+5*x+2),x,5,2267/2592*(5+6*x)*sqrt(3*x^2+5*x+2)-1/15*(3+2*x)^2*(3*x^2+5*x+2)^(3/2)+1/1620*(7969+3006*x)*(3*x^2+5*x+2)^(3/2)-2267/2592*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)*sqrt(3*x^2+5*x+2),x,4,559/864*(5+6*x)*sqrt(3*x^2+5*x+2)+1/108*(109-18*x)*(3*x^2+5*x+2)^(3/2)-559/864*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*sqrt(3*x^2+5*x+2),x,4,35/72*(5+6*x)*sqrt(3*x^2+5*x+2)-1/9*(3*x^2+5*x+2)^(3/2)-35/72*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x),x,6,1/24*(73-6*x)*sqrt(3*x^2+5*x+2)-311/24*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+13/4*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2,x,6,-1/2*(8+x)*sqrt(3*x^2+5*x+2)/(3+2*x)+43/4*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)-57/4*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^3,x,6,1/40*(121+124*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2-1/4*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))+27/40*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^4,x,4,47/200*(7+8*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2-13/15*(3*x^2+5*x+2)^(3/2)/(3+2*x)^3-47/200*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^5,x,5,5/32*sqrt(3*x^2+5*x+2)/(3+2*x)^2+33*sqrt(3*x^2+5*x+2)/(600+400*x)+1/80*(7+48*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^4-153/800*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^6,x,6,-1/400*(29-154*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^5+12/125*sqrt(3*x^2+5*x+2)/(3+2*x)^3+3/32*sqrt(3*x^2+5*x+2)/(3+2*x)^2+549*sqrt(3*x^2+5*x+2)/(15000+10000*x)-3159/20000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^7,x,7,-1/600*(79-164*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^6+259/4000*sqrt(3*x^2+5*x+2)/(3+2*x)^4+923/15000*sqrt(3*x^2+5*x+2)/(3+2*x)^3+311/4800*sqrt(3*x^2+5*x+2)/(3+2*x)^2+4083*sqrt(3*x^2+5*x+2)/(150000+100000*x)-26453/200000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3+2*x)^4*(3*x^2+5*x+2)^(3/2),x,8,-454969/4478976*(5+6*x)*sqrt(3*x^2+5*x+2)+454969/559872*(5+6*x)*(3*x^2+5*x+2)^(3/2)+487/486*(3+2*x)^2*(3*x^2+5*x+2)^(5/2)+299/648*(3+2*x)^3*(3*x^2+5*x+2)^(5/2)-1/27*(3+2*x)^4*(3*x^2+5*x+2)^(5/2)+1/58320*(420721+188910*x)*(3*x^2+5*x+2)^(5/2)+454969/4478976*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^3*(3*x^2+5*x+2)^(3/2),x,7,-12277/165888*(5+6*x)*sqrt(3*x^2+5*x+2)+12277/20736*(5+6*x)*(3*x^2+5*x+2)^(3/2)+67/126*(3+2*x)^2*(3*x^2+5*x+2)^(5/2)-1/24*(3+2*x)^3*(3*x^2+5*x+2)^(5/2)+1/15120*(75451+33210*x)*(3*x^2+5*x+2)^(5/2)+12277/165888*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^2*(3*x^2+5*x+2)^(3/2),x,6,-1129/20736*(5+6*x)*sqrt(3*x^2+5*x+2)+1129/2592*(5+6*x)*(3*x^2+5*x+2)^(3/2)-1/21*(3+2*x)^2*(3*x^2+5*x+2)^(5/2)+1/1890*(5827+2370*x)*(3*x^2+5*x+2)^(5/2)+1129/20736*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)*(3*x^2+5*x+2)^(3/2),x,5,-839/20736*(5+6*x)*sqrt(3*x^2+5*x+2)+839/2592*(5+6*x)*(3*x^2+5*x+2)^(3/2)+1/270*(161-30*x)*(3*x^2+5*x+2)^(5/2)+839/20736*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3*x^2+5*x+2)^(3/2),x,5,-35/1152*(5+6*x)*sqrt(3*x^2+5*x+2)+35/144*(5+6*x)*(3*x^2+5*x+2)^(3/2)-1/15*(3*x^2+5*x+2)^(5/2)+35/1152*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x),x,7,1/128*(175-414*x)*sqrt(3*x^2+5*x+2)+1/48*(47-6*x)*(3*x^2+5*x+2)^(3/2)-2011/128*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+65/16*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^2,x,7,-1/96*(361-726*x)*sqrt(3*x^2+5*x+2)-(21+x)*(3*x^2+5*x+2)^(3/2)/(18+12*x)+3743/96*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)-161/16*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^3,x,7,3/80*(79-171*x)*sqrt(3*x^2+5*x+2)+1/40*(433+332*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^2-343/32*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))+1329/32*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4,x,7,-1/160*(845+402*x)*sqrt(3*x^2+5*x+2)/(3+2*x)+1/120*(383+342*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^3+51/16*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))-1973/160*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^5,x,7,1/3200*(2087+1528*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2+1/240*(333+352*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4-3/16*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))+2359/3200*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^6,x,5,-141/16000*(7+8*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2+47/400*(7+8*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4-13/25*(3*x^2+5*x+2)^(5/2)/(3+2*x)^5+141/16000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^7,x,6,41/3840*sqrt(3*x^2+5*x+2)/(3+2*x)^2+249*sqrt(3*x^2+5*x+2)/(120000+80000*x)-1/48000*(12237+11768*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^4+1/600*(233+372*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^6+1141/160000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^8,x,7,1769/420000*sqrt(3*x^2+5*x+2)/(3+2*x)^3+293/134400*sqrt(3*x^2+5*x+2)/(3+2*x)^2+249*sqrt(3*x^2+5*x+2)/(4200000+2800000*x)-1/112000*(22729+22646*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^5+1/840*(183+382*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^7+4663/800000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^9,x,8,1119/640000*sqrt(3*x^2+5*x+2)/(3+2*x)^4+531/800000*sqrt(3*x^2+5*x+2)/(3+2*x)^3-63/256000*sqrt(3*x^2+5*x+2)/(3+2*x)^2-11097*sqrt(3*x^2+5*x+2)/(24000000+16000000*x)-1/32000*(5063+5192*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^6+1/160*(19+56*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^8+153927/32000000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3+2*x)^4*(3*x^2+5*x+2)^(5/2),x,9,249299/35831808*(5+6*x)*sqrt(3*x^2+5*x+2)-249299/4478976*(5+6*x)*(3*x^2+5*x+2)^(3/2)+249299/466560*(5+6*x)*(3*x^2+5*x+2)^(5/2)+3298/4455*(3+2*x)^2*(3*x^2+5*x+2)^(7/2)+41/110*(3+2*x)^3*(3*x^2+5*x+2)^(7/2)-1/33*(3+2*x)^4*(3*x^2+5*x+2)^(7/2)+1/1496880*(7405817+3365726*x)*(3*x^2+5*x+2)^(7/2)-249299/35831808*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^3*(3*x^2+5*x+2)^(5/2),x,8,182917/35831808*(5+6*x)*sqrt(3*x^2+5*x+2)-182917/4478976*(5+6*x)*(3*x^2+5*x+2)^(3/2)+182917/466560*(5+6*x)*(3*x^2+5*x+2)^(5/2)+169/405*(3+2*x)^2*(3*x^2+5*x+2)^(7/2)-1/30*(3+2*x)^3*(3*x^2+5*x+2)^(7/2)+1/136080*(477101+213878*x)*(3*x^2+5*x+2)^(7/2)-182917/35831808*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^2*(3*x^2+5*x+2)^(5/2),x,7,22535/5971968*(5+6*x)*sqrt(3*x^2+5*x+2)-22535/746496*(5+6*x)*(3*x^2+5*x+2)^(3/2)+4507/15552*(5+6*x)*(3*x^2+5*x+2)^(5/2)-1/27*(3+2*x)^2*(3*x^2+5*x+2)^(7/2)+1/4536*(10211+4298*x)*(3*x^2+5*x+2)^(7/2)-22535/5971968*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)*(3*x^2+5*x+2)^(5/2),x,6,1865/663552*(5+6*x)*sqrt(3*x^2+5*x+2)-1865/82944*(5+6*x)*(3*x^2+5*x+2)^(3/2)+373/1728*(5+6*x)*(3*x^2+5*x+2)^(5/2)+1/168*(71-14*x)*(3*x^2+5*x+2)^(7/2)-1865/663552*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3*x^2+5*x+2)^(5/2),x,6,175/82944*(5+6*x)*sqrt(3*x^2+5*x+2)-175/10368*(5+6*x)*(3*x^2+5*x+2)^(3/2)+35/216*(5+6*x)*(3*x^2+5*x+2)^(5/2)-1/21*(3*x^2+5*x+2)^(7/2)-175/82944*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x),x,8,1/27648*(51455-106734*x)*sqrt(3*x^2+5*x+2)+1/3456*(25-5586*x)*(3*x^2+5*x+2)^(3/2)+1/360*(209-30*x)*(3*x^2+5*x+2)^(5/2)-543811/27648*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+325/64*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^2,x,8,-1/512*(3865-8082*x)*sqrt(3*x^2+5*x+2)-1/192*(65-1194*x)*(3*x^2+5*x+2)^(3/2)-(34+x)*(3*x^2+5*x+2)^(5/2)/(30+20*x)+41053/512*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)-1325/64*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^3,x,8,5/1536*(3763-7854*x)*sqrt(3*x^2+5*x+2)+1/192*(83-1962*x)*(3*x^2+5*x+2)^(3/2)+1/8*(149+108*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^2-199615/1536*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+4295/128*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^4,x,8,-3/64*(212-443*x)*sqrt(3*x^2+5*x+2)-(1171+342*x)*(3*x^2+5*x+2)^(3/2)/(288+192*x)+1/24*(139+110*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^3+13505/128*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)-3487/128*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^5,x,8,1/2560*(10607-22128*x)*sqrt(3*x^2+5*x+2)+1/1920*(25327+18408*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^2+1/48*(129+112*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^4-1875/128*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))+29047/512*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^6,x,8,-1/12800*(57845+26934*x)*sqrt(3*x^2+5*x+2)/(3+2*x)+1/9600*(17051+13074*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^3+1/80*(119+114*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^5+177/64*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))-137111/12800*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^7,x,8,1/25600*(14083+10952*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2+1/1920*(437+328*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4+1/120*(109+116*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^6-9/64*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))+13931/25600*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^8,x,6,47/128000*(7+8*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2-47/9600*(7+8*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4+47/600*(7+8*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^6-13/35*(3*x^2+5*x+2)^(7/2)/(3+2*x)^7-47/128000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^9,x,7,2873/860160*sqrt(3*x^2+5*x+2)/(3+2*x)^2+23109*sqrt(3*x^2+5*x+2)/(26880000+17920000*x)-1/10752000*(506517+439688*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^4-1/134400*(21097+19848*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^6+1/224*(89+120*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^8-1517/5120000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^10,x,8,17729/13440000*sqrt(3*x^2+5*x+2)/(3+2*x)^3+4283/4300800*sqrt(3*x^2+5*x+2)/(3+2*x)^2+36159*sqrt(3*x^2+5*x+2)/(134400000+89600000*x)-1/3584000*(111839+99786*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^5-1/80640*(12751+12154*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^7+1/288*(79+122*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^9-6167/25600000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3+2*x)^4*(3*x^2+5*x+2)^(7/2),x,10,-2595845/5159780352*(5+6*x)*sqrt(3*x^2+5*x+2)+2595845/644972544*(5+6*x)*(3*x^2+5*x+2)^(3/2)-519169/13436928*(5+6*x)*(3*x^2+5*x+2)^(5/2)+74167/186624*(5+6*x)*(3*x^2+5*x+2)^(7/2)+205/351*(3+2*x)^2*(3*x^2+5*x+2)^(9/2)+439/1404*(3+2*x)^3*(3*x^2+5*x+2)^(9/2)-1/39*(3+2*x)^4*(3*x^2+5*x+2)^(9/2)+1/227448*(852175+389394*x)*(3*x^2+5*x+2)^(9/2)+2595845/5159780352*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^3*(3*x^2+5*x+2)^(7/2),x,9,-637609/1719926784*(5+6*x)*sqrt(3*x^2+5*x+2)+637609/214990848*(5+6*x)*(3*x^2+5*x+2)^(3/2)-637609/22394880*(5+6*x)*(3*x^2+5*x+2)^(5/2)+91087/311040*(5+6*x)*(3*x^2+5*x+2)^(7/2)+34/99*(3+2*x)^2*(3*x^2+5*x+2)^(9/2)-1/36*(3+2*x)^3*(3*x^2+5*x+2)^(9/2)+1/320760*(863825+390798*x)*(3*x^2+5*x+2)^(9/2)+637609/1719926784*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^2*(3*x^2+5*x+2)^(7/2),x,8,-39389/143327232*(5+6*x)*sqrt(3*x^2+5*x+2)+39389/17915904*(5+6*x)*(3*x^2+5*x+2)^(3/2)-39389/1866240*(5+6*x)*(3*x^2+5*x+2)^(5/2)+5627/25920*(5+6*x)*(3*x^2+5*x+2)^(7/2)-1/33*(3+2*x)^2*(3*x^2+5*x+2)^(9/2)+1/26730*(47425+20358*x)*(3*x^2+5*x+2)^(9/2)+39389/143327232*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)*(3*x^2+5*x+2)^(7/2),x,7,-9793/47775744*(5+6*x)*sqrt(3*x^2+5*x+2)+9793/5971968*(5+6*x)*(3*x^2+5*x+2)^(3/2)-9793/622080*(5+6*x)*(3*x^2+5*x+2)^(5/2)+1399/8640*(5+6*x)*(3*x^2+5*x+2)^(7/2)+1/810*(265-54*x)*(3*x^2+5*x+2)^(9/2)+9793/47775744*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3*x^2+5*x+2)^(7/2),x,7,-1225/7962624*(5+6*x)*sqrt(3*x^2+5*x+2)+1225/995328*(5+6*x)*(3*x^2+5*x+2)^(3/2)-245/20736*(5+6*x)*(3*x^2+5*x+2)^(5/2)+35/288*(5+6*x)*(3*x^2+5*x+2)^(7/2)-1/27*(3*x^2+5*x+2)^(9/2)+1225/7962624*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x),x,9,5/2654208*(1229315-2568342*x)*sqrt(3*x^2+5*x+2)+5/331776*(6205-127338*x)*(3*x^2+5*x+2)^(3/2)-1/6912*(589+7446*x)*(3*x^2+5*x+2)^(5/2)+1/672*(277-42*x)*(3*x^2+5*x+2)^(7/2)-65251715/2654208*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+1625/256*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^2,x,9,-1/110592*(1454315-3037062*x)*sqrt(3*x^2+5*x+2)-1/13824*(6925-151098*x)*(3*x^2+5*x+2)^(3/2)+1/1440*(283+8310*x)*(3*x^2+5*x+2)^(5/2)-(47+x)*(3*x^2+5*x+2)^(7/2)/(42+28*x)+15434623/110592*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)-9225/256*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^3,x,9,7/36864*(167495-349806*x)*sqrt(3*x^2+5*x+2)+7/4608*(805-17394*x)*(3*x^2+5*x+2)^(3/2)-7/240*(20+483*x)*(3*x^2+5*x+2)^(5/2)+1/40*(1057+748*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^2-12443893/36864*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+44625/512*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^4,x,9,-7/6144*(37375-78054*x)*sqrt(3*x^2+5*x+2)-7/768*(179-3882*x)*(3*x^2+5*x+2)^(3/2)-7*(523+110*x)*(3*x^2+5*x+2)^(5/2)/(480+320*x)+1/120*(1007+758*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^3+2776697/6144*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)-59745/512*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^5,x,9,7/1024*(5009-10461*x)*sqrt(3*x^2+5*x+2)+7/2560*(481-10404*x)*(3*x^2+5*x+2)^(3/2)+21/640*(1523+1080*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^2+1/80*(319+256*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^4-744275/2048*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+192171/2048*sqrt(5)*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^6,x,9,-21/51200*(40751-85104*x)*sqrt(3*x^2+5*x+2)-7*(37373+10806*x)*(3*x^2+5*x+2)^(3/2)/(38400+25600*x)+7/3200*(3869+2878*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^3+1/400*(907+778*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^5+30275/512*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))-2345091/10240*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^7,x,9,63/512000*(38347-80088*x)*sqrt(3*x^2+5*x+2)+21/128000*(91967+66968*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^2+7/3200*(1007+776*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^4+1/600*(857+788*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^6-8547/512*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))+6620481/102400*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^8,x,9,-3*(131465+61278*x)*sqrt(3*x^2+5*x+2)/(307200+204800*x)+1/25600*(39767+30858*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^3+3/640*(135+106*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^5+1/280*(269+266*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^7+603/256*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))-934161/102400*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^9,x,9,3/4096000*(559841+434104*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2+1/102400*(20959+17096*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4+1/6400*(881+664*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^6+1/1120*(757+808*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^8-27/256*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))+1673211/4096000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^10,x,7,-329/20480000*(7+8*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^2+329/1536000*(7+8*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4-329/96000*(7+8*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^6+47/800*(7+8*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^8-13/45*(3*x^2+5*x+2)^(9/2)/(3+2*x)^9+329/20480000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^11,x,8,7781/8192000*sqrt(3*x^2+5*x+2)/(3+2*x)^2+181539*sqrt(3*x^2+5*x+2)/(768000000+512000000*x)-1/102400000*(1500369+1331816*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^4-1/1280000*(43429+36936*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^6-1/6400*(617+584*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^8+1/200*(73+92*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^10+13251/1024000000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^12,x,9,42341/128000000*sqrt(3*x^2+5*x+2)/(3+2*x)^3+107677/450560000*sqrt(3*x^2+5*x+2)/(3+2*x)^2+2486763*sqrt(3*x^2+5*x+2)/(42240000000+28160000000*x)-3/1126400000*(3354841+3078534*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^5-1/8448000*(269369+234326*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^7-7/211200*(3439+3242*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^9+1/2200*(607+838*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^11+53697/5120000000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^13,x,10,555373/4505600000*sqrt(3*x^2+5*x+2)/(3+2*x)^4+44107/512000000*sqrt(3*x^2+5*x+2)/(3+2*x)^3+110579/1802240000*sqrt(3*x^2+5*x+2)/(3+2*x)^2+2471301*sqrt(3*x^2+5*x+2)/(168960000000+112640000000*x)-7/675840000*(488009+458456*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^6-7/3379200*(12043+10632*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^8-7/21120*(345+328*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^10+1/2640*(557+848*x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^12+175119/20480000000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(e*x+d)^3*(g*x+f)/sqrt(c*x^2+b*x+a),x,5,1/24*(-7*b*e*g+6*c*d*g+8*c*e*f)*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c^2+1/4*g*(e*x+d)^3*sqrt(c*x^2+b*x+a)/c-1/192*(105*b^3*e^3*g-32*c^3*d^2*(3*d*g+16*e*f)-20*b*c*e^2*(11*a*e*g+6*b*(3*d*g+e*f))+8*c^2*e*(16*a*e*(3*d*g+e*f)+b*d*(47*d*g+54*e*f))-2*c*e*(35*b^2*e^2*g+8*c^2*d*(3*d*g+10*e*f)-4*c*e*(9*a*e*g+2*b*(8*d*g+5*e*f)))*x)*sqrt(c*x^2+b*x+a)/c^4+1/128*(128*c^4*d^3*f+35*b^4*e^3*g-40*b^2*c*e^2*(3*a*e*g+3*b*d*g+b*e*f)-64*c^3*d*(3*a*e*(d*g+e*f)+b*d*(d*g+3*e*f))+48*c^2*e*(a^2*e^2*g+3*b^2*d*(d*g+e*f)+2*a*b*e*(3*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(e*x+d)^2*(g*x+f)/sqrt(c*x^2+b*x+a),x,4,1/3*g*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c+1/24*(15*b^2*e^2*g+16*c^2*d*(d*g+3*e*f)-2*c*e*(8*a*e*g+9*b*(2*d*g+e*f))+2*c*e*(-5*b*e*g+4*c*d*g+6*c*e*f)*x)*sqrt(c*x^2+b*x+a)/c^3+1/16*(16*c^3*d^2*f-5*b^3*e^2*g+6*b*c*e*(2*a*e*g+2*b*d*g+b*e*f)-8*c^2*(b*d*(d*g+2*e*f)+a*e*(2*d*g+e*f)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(e*x+d)*(g*x+f)/sqrt(c*x^2+b*x+a),x,3,-1/4*(3*b*e*g-4*c*(d*g+e*f)-2*c*e*g*x)*sqrt(c*x^2+b*x+a)/c^2+1/8*(8*c^2*d*f+3*b^2*e*g-4*c*(a*e*g+b*d*g+b*e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(g*x+f)/sqrt(c*x^2+b*x+a),x,3,g*sqrt(c*x^2+b*x+a)/c+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+f)/(e*x+d)/sqrt(c*x^2+b*x+a),x,5,g*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e+(-d*g+e*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e/sqrt(a*e^2-b*d*e+c*d^2),1],
[(g*x+f)/(e*x+d)^2/sqrt(c*x^2+b*x+a),x,3,-(-d*g+e*f)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)+1/2*(2*c*d*f+2*a*e*g-b*(d*g+e*f))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(g*x+f)/(e*x+d)^3/sqrt(c*x^2+b*x+a),x,4,-1/2*(-d*g+e*f)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-1/4*(2*c*d*(-d*g+3*e*f)-e*(-4*a*e*g+b*d*g+3*b*e*f))*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)+1/8*(8*c^2*d^2*f+b*e*(-4*a*e*g+b*d*g+3*b*e*f)-4*c*(a*e*(-3*d*g+e*f)+b*d*(d*g+2*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(e*x+d)^3*(g*x+f)/(c*x^2+b*x+a)^(3/2),x,5,-2*(e*x+d)^3*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+2*e*(-b*g+2*c*f)*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)+1/4*e*(32*c^3*d^2*f-15*b^3*e^2*g+4*b*c*e*(13*a*e*g+9*b*d*g+3*b*e*f)-8*c^2*(b*d*(2*d*g+3*e*f)+4*a*e*(3*d*g+e*f))+2*c*e*(8*c^2*d*f+5*b^2*e*g-4*c*(3*a*e*g+b*d*g+b*e*f))*x)*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)+3/8*e*(5*b^2*e^2*g+8*c^2*d*(d*g+e*f)-4*c*e*(a*e*g+3*b*d*g+b*e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(e*x+d)^2*(g*x+f)/(c*x^2+b*x+a)^(3/2),x,4,-2*(e*x+d)^2*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+e*(8*c^2*d*f+3*b^2*e*g-2*c*(4*a*e*g+2*b*d*g+b*e*f)+2*c*e*(-b*g+2*c*f)*x)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)+1/2*e*(-3*b*e*g+4*c*d*g+2*c*e*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(e*x+d)*(g*x+f)/(c*x^2+b*x+a)^(3/2),x,3,2*(2*a*c*(d*g+e*f)-b*(a*e*g+c*d*f)-(2*c^2*d*f+b^2*e*g-c*(2*a*e*g+b*d*g+b*e*f))*x)/c/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+e*g*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(g*x+f)/(c*x^2+b*x+a)^(3/2),x,1,(-2*b*f+4*a*g-2*(-b*g+2*c*f)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a),1],
[(g*x+f)/(e*x+d)/(c*x^2+b*x+a)^(3/2),x,3,(-2*b*c*d*f+2*b^2*e*f-4*a*c*e*f+4*a*c*d*g-2*a*b*e*g-2*c*(2*c*d*f+2*a*e*g-b*(d*g+e*f))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)+e*(-d*g+e*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x,4,-(-d*g+e*f)/(a*e^2-b*d*e+c*d^2)/(e*x+d)/sqrt(c*x^2+b*x+a)-(4*a*c*(-b*e+2*c*d)*(-d*g+e*f)+(2*a*c*e-b^2*e+b*c*d)*(2*a*e*g+b*d*g-3*b*e*f+2*c*d*f)+c*(4*c*(-2*a*e+b*d)*(-d*g+e*f)+(-b*e+2*c*d)*(2*a*e*g+b*d*g-3*b*e*f+2*c*d*f))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)+1/2*e*(2*c*d*(-2*d*g+3*e*f)-e*(-2*a*e*g-b*d*g+3*b*e*f))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(g*x+f)/(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x,5,-1/2*(-d*g+e*f)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2/sqrt(c*x^2+b*x+a)-1/4*(2*c*d*(-3*d*g+5*e*f)-e*(-4*a*e*g-b*d*g+5*b*e*f))/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)/sqrt(c*x^2+b*x+a)-1/4*(4*a*c*(-b*e+2*c*d)*(2*c*d*(-3*d*g+5*e*f)-e*(-4*a*e*g-b*d*g+5*b*e*f))+(2*a*c*e-b^2*e+b*c*d)*(8*c^2*d^2*f+3*b*e*(-4*a*e*g-b*d*g+5*b*e*f)-4*c*(a*e*(-5*d*g+3*e*f)+b*d*(-2*d*g+7*e*f)))+c*(16*c^3*d^3*f-3*b^2*e^2*(-4*a*e*g-b*d*g+5*b*e*f)-2*c*e*(16*a^2*e^2*g-2*a*b*e*(-9*d*g+13*e*f)-b^2*d*(-5*d*g+19*e*f))-8*c^2*d*(a*e*(-11*d*g+13*e*f)+b*d*(d*g+3*e*f)))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*x^2+b*x+a)+3/8*e*(8*c^2*d^2*(-d*g+2*e*f)+b*e^2*(-4*a*e*g-b*d*g+5*b*e*f)-4*c*e*(a*e*(-3*d*g+e*f)+b*d*(-d*g+4*e*f)))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(e*x+d)^4*(g*x+f)/(c*x^2+b*x+a)^(5/2),x,6,-2/3*(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)^(3/2)+8/3*(e*x+d)^3*(4*a*c*e*f-b^2*(d*g+2*e*f)+2*b*(a*e*g+c*d*f)+(4*c^2*d*f-b^2*e*g-2*c*(-4*a*e*g+b*d*g+b*e*f))*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-8/3*e*(4*c^2*d*f-b^2*e*g-2*c*(-4*a*e*g+b*d*g+b*e*f))*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^2-1/3*e*(64*c^4*d^3*f-15*b^4*e^3*g+16*c^3*d*(8*a*e*(d*g+e*f)-b*d*(2*d*g+5*e*f))+2*b^2*c*e^2*(50*a*e*g+3*b*(4*d*g+e*f))+8*c^2*e*(b^2*d^2*g-16*a^2*e^2*g-5*a*b*e*(4*d*g+e*f))+2*c*e*(16*c^3*d^2*f+5*b^3*e^2*g-2*b*c*e^2*(14*a*g+b*f)-8*c^2*(b*d*(d*g+2*e*f)-a*e*(4*d*g+3*e*f)))*x)*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)^2-1/2*e^3*(5*b*e*g-2*c*(4*d*g+e*f))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(e*x+d)^3*(g*x+f)/(c*x^2+b*x+a)^(5/2),x,5,-2/3*(e*x+d)^3*(b*f-2*a*g+(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+4/3*(e*x+d)^2*(4*a*c*e*f-b^2*(2*d*g+3*e*f)+4*b*(a*e*g+c*d*f)+(8*c^2*d*f-b^2*e*g-4*c*(-3*a*e*g+b*d*g+b*e*f))*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-2/3*e*(32*c^3*d^2*f+3*b^3*e^2*g-20*a*b*c*e^2*g-8*c^2*(b*d*(2*d*g+3*e*f)-2*a*e*(3*d*g+e*f))+2*c*e*(8*c^2*d*f-b^2*e*g-4*c*(-3*a*e*g+b*d*g+b*e*f))*x)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)^2+e^3*g*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),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],
[(e*x+d)*(g*x+f)/(c*x^2+b*x+a)^(5/2),x,2,2/3*(2*a*c*(d*g+e*f)-b*(a*e*g+c*d*f)-(2*c^2*d*f+b^2*e*g-c*(2*a*e*g+b*d*g+b*e*f))*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+2/3*(8*c^2*d*f+b^2*e*g-4*c*(-a*e*g+b*d*g+b*e*f))*(2*c*x+b)/c/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1],
[(g*x+f)/(c*x^2+b*x+a)^(5/2),x,2,1/3*(-2*b*f+4*a*g-2*(-b*g+2*c*f)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+8/3*(-b*g+2*c*f)*(2*c*x+b)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1],
[(g*x+f)/(e*x+d)/(c*x^2+b*x+a)^(5/2),x,4,1/3*(-2*b*c*d*f+2*b^2*e*f-4*a*c*e*f+4*a*c*d*g-2*a*b*e*g-2*c*(2*c*d*f+2*a*e*g-b*(d*g+e*f))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(3/2)-2/3*(4*a*c*e*(-b*e+2*c*d)*(2*c*d*f+2*a*e*g-b*(d*g+e*f))-(2*a*c*e-b^2*e+b*c*d)*(8*c^2*d^2*f-3*b^2*e*(-d*g+e*f)+4*c*(a*e*(-d*g+3*e*f)-b*d*(d*g+e*f)))+c*(4*c*e*(-2*a*e+b*d)*(2*c*d*f+2*a*e*g-b*(d*g+e*f))-(-b*e+2*c*d)*(8*c^2*d^2*f-3*b^2*e*(-d*g+e*f)+4*c*(a*e*(-d*g+3*e*f)-b*d*(d*g+e*f))))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)+e^3*(-d*g+e*f)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x,5,-(-d*g+e*f)/(a*e^2-b*d*e+c*d^2)/(e*x+d)/(c*x^2+b*x+a)^(3/2)-1/3*(8*a*c*(-b*e+2*c*d)*(-d*g+e*f)+(2*a*c*e-b^2*e+b*c*d)*(2*a*e*g+3*b*d*g-5*b*e*f+2*c*d*f)+c*(8*c*(-2*a*e+b*d)*(-d*g+e*f)+(-b*e+2*c*d)*(2*a*e*g+3*b*d*g-5*b*e*f+2*c*d*f))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^(3/2)-1/3*(4*a*c*e*(-b*e+2*c*d)*(8*c*(-2*a*e+b*d)*(-d*g+e*f)+(-b*e+2*c*d)*(2*a*e*g+3*b*d*g-5*b*e*f+2*c*d*f))-(2*a*c*e-b^2*e+b*c*d)*(8*c*d*(4*a*c*e-3*b^2*e+4*b*c*d)*(-d*g+e*f)+(8*c^2*d^2-3*b^2*e^2-4*c*e*(-3*a*e+b*d))*(2*a*e*g+3*b*d*g-5*b*e*f+2*c*d*f))+c*(4*c*e*(-2*a*e+b*d)*(8*c*(-2*a*e+b*d)*(-d*g+e*f)+(-b*e+2*c*d)*(2*a*e*g+3*b*d*g-5*b*e*f+2*c*d*f))-(-b*e+2*c*d)*(8*c*d*(4*a*c*e-3*b^2*e+4*b*c*d)*(-d*g+e*f)+(8*c^2*d^2-3*b^2*e^2-4*c*e*(-3*a*e+b*d))*(2*a*e*g+3*b*d*g-5*b*e*f+2*c*d*f)))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*x^2+b*x+a)+1/2*e^3*(2*c*d*(-4*d*g+5*e*f)-e*(-2*a*e*g-3*b*d*g+5*b*e*f))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(B*x+A)*(e*x+d)^6/(c*x^2+b*x+a)^(7/2),x,8,-2/5*(A*b-2*a*B-(-2*A*c+B*b)*x)*(e*x+d)^6/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)+8/15*(e*x+d)^5*(4*a*A*c*e-b^2*(3*A*e+2*B*d)+4*b*(A*c*d+B*a*e)-(b^2*B*e+4*b*c*(A*e+B*d)-4*c*(2*A*c*d+3*B*a*e))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)-16/15*(e*x+d)^4*(b^3*e*(15*A*e+8*B*d)+24*a*c*e*(2*A*c*d+3*B*a*e)+4*A*b*c*(-11*a*e^2+4*c*d^2)-2*b^2*(14*A*c*d*e+13*B*a*e^2+4*B*c*d^2)-(3*b^3*B*e^2-2*b^2*c*e*(9*A*e+2*B*d)-8*c^2*(-5*A*a*e^2+4*A*c*d^2+6*B*a*d*e)+4*b*c*(8*A*c*d*e+B*a*e^2+4*B*c*d^2))*x)/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a)+8/15*e*(7*b^4*B*e^3+2*b^3*c*e^2*(-A*e+3*B*d)+12*b^2*c*e*(3*A*c*d*e-5*B*a*e^2+2*B*c*d^2)-8*b*c^2*(3*A*a*e^3+12*A*c*d^2*e+15*B*a*d*e^2+4*B*c*d^3)+16*c^2*(6*a*B*e*(2*a*e^2+c*d^2)+A*c*d*(3*a*e^2+4*c*d^2)))*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)^3-16/15*e*(3*b^3*B*e^2-2*b^2*c*e*(9*A*e+2*B*d)-8*c^2*(-5*A*a*e^2+4*A*c*d^2+6*B*a*d*e)+4*b*c*(8*A*c*d*e+B*a*e^2+4*B*c*d^2))*(e*x+d)^3*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^3+1/15*e*(105*b^6*B*e^5-30*b^5*c*e^4*(A*e+6*B*d)-56*b^4*B*c*e^3*(20*a*e^2+c*d^2)+16*b^3*c^2*e^3*(20*A*a*e^2+A*c*d^2+120*B*a*d*e)+256*c^3*(6*a*B*e*(-2*a^2*e^4+4*a*c*d^2*e^2+c^2*d^4)+A*c*d*(12*a^2*e^4+11*a*c*d^2*e^2+4*c^2*d^4))+48*b^2*c^2*e*(28*A*c^2*d^3*e+B*(77*a^2*e^4+10*a*c*d^2*e^2+16*c^2*d^4))-32*b*c^3*(3*A*e*(11*a^2*e^4+38*a*c*d^2*e^2+24*c^2*d^4)+2*B*(99*a^2*d*e^4+64*a*c*d^3*e^2+8*c^2*d^5))-2*c*e*(35*b^5*B*e^4-2*b^4*c*e^3*(5*A*e+2*B*d)-8*b^3*c*e^2*(2*A*c*d*e+42*B*a*e^2+3*B*c*d^2)-16*b^2*c^2*e*(-6*A*a*e^3+15*A*c*d^2*e-6*B*a*d*e^2+10*B*c*d^3)-32*c^3*(6*a*B*d*e*(7*a*e^2+2*c*d^2)+A*(15*a^2*e^4+18*a*c*d^2*e^2+8*c^2*d^4))+16*b*c^2*(4*A*c*d*e*(9*a*e^2+8*c*d^2)+B*(57*a^2*e^4+54*a*c*d^2*e^2+8*c^2*d^4)))*x)*sqrt(c*x^2+b*x+a)/c^4/(-4*a*c+b^2)^3+1/2*e^5*(2*A*c*e-7*B*b*e+12*B*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(B*x+A)*(e*x+d)^5/(c*x^2+b*x+a)^(7/2),x,7,-2/5*(A*b-2*a*B-(-2*A*c+B*b)*x)*(e*x+d)^5/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)+4/15*(e*x+d)^4*(4*a*A*c*e-b^2*(5*A*e+4*B*d)+8*b*(A*c*d+B*a*e)-(b^2*B*e+8*b*c*(A*e+B*d)-4*c*(4*A*c*d+5*B*a*e))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)-16/15*(e*x+d)^3*(b^3*e*(10*A*e+7*B*d)+8*a*c*e*(4*A*c*d+5*B*a*e)+4*b*c*(-6*A*a*e^2+4*A*c*d^2+B*a*d*e)-2*b^2*(12*A*c*d*e+9*B*a*e^2+4*B*c*d^2)-(b^3*B*e^2-6*b^2*c*e*(2*A*e+B*d)-8*c^2*(-2*A*a*e^2+4*A*c*d^2+5*B*a*d*e)+4*b*c*(8*A*c*d*e+3*B*a*e^2+4*B*c*d^2))*x)/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a)-16/15*e*(b^3*B*e^2-6*b^2*c*e*(2*A*e+B*d)-8*c^2*(-2*A*a*e^2+4*A*c*d^2+5*B*a*d*e)+4*b*c*(8*A*c*d*e+3*B*a*e^2+4*B*c*d^2))*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^3-2/15*e*(15*b^5*B*e^4-96*b^2*c^3*d^2*e*(4*A*e+3*B*d)-8*b^3*B*c*e^2*(20*a*e^2+c*d^2)-128*c^3*(5*a*B*d*e*(2*a*e^2+c*d^2)+2*A*(a^2*e^4+3*a*c*d^2*e^2+2*c^2*d^4))+16*b*c^2*(8*A*c*d*e*(5*a*e^2+7*c*d^2)+B*(33*a^2*e^4+74*a*c*d^2*e^2+16*c^2*d^4))-2*c*e*(8*b^3*B*c*d*e^2+5*b^4*B*e^3+8*b^2*c*e*(8*A*c*d*e-6*B*a*e^2+7*B*c*d^2)-32*b*c^2*(2*A*a*e^3+6*A*c*d^2*e+7*B*a*d*e^2+2*B*c*d^3)+16*c^2*(8*A*c*d*(a*e^2+c*d^2)+5*a*B*e*(3*a*e^2+2*c*d^2)))*x)*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)^3+B*e^5*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(B*x+A)*(e*x+d)^4/(c*x^2+b*x+a)^(7/2),x,3,-2/5*(A*b-2*a*B-(-2*A*c+B*b)*x)*(e*x+d)^4/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)-16/15*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)*(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*b*e-2*A*c*d-2*B*a*e+B*b*d)*(a*e^2-b*d*e+c*d^2)*(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],
[(B*x+A)*(e*x+d)^3/(c*x^2+b*x+a)^(7/2),x,3,-2/5*(A*b-2*a*B-(-2*A*c+B*b)*x)*(e*x+d)^3/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)-4/15*(e*x+d)^2*(4*a*A*c*e+b^2*(3*A*e+4*B*d)-8*b*(A*c*d+B*a*e)-(b^2*B*e-8*b*c*(A*e+B*d)+4*c*(4*A*c*d+3*B*a*e))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)-16/15*(b^2*e*(3*A*e+5*B*d)+4*c*(A*a*e^2+4*A*c*d^2+3*B*a*d*e)-8*b*(2*A*c*d*e+B*a*e^2+B*c*d^2))*(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],
[(B*x+A)*(e*x+d)^2/(c*x^2+b*x+a)^(7/2),x,3,-2/5*(A*b-2*a*B-(-2*A*c+B*b)*x)*(e*x+d)^2/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)+8/15*(a*(-2*A*c+B*b)*e*(-b*e+2*c*d)+c*(-2*a*e+b*d)*(4*A*c*d+2*a*B*e-b*(A*e+2*B*d))+((-2*A*c+B*b)*e*(2*a*c*e-b^2*e+b*c*d)+c*(-b*e+2*c*d)*(4*A*c*d+2*a*B*e-b*(A*e+2*B*d)))*x)/c/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)+8/15*(b^3*B*e^2-6*b^2*c*e*(A*e+2*B*d)-8*c^2*(A*a*e^2+4*A*c*d^2+2*B*a*d*e)+4*b*c*(8*A*c*d*e+3*B*a*e^2+4*B*c*d^2))*(2*c*x+b)/c/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a),1],
[(B*x+A)*(e*x+d)/(c*x^2+b*x+a)^(7/2),x,3,1/5*(-2*A*c*(-2*a*e+b*d)+2*a*B*(-b*e+2*c*d)-2*(b^2*B*e-b*c*(A*e+B*d)+2*c*(A*c*d-B*a*e))*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)+2/15*(3*b^2*B*e-8*b*c*(A*e+B*d)+4*c*(4*A*c*d+B*a*e))*(2*c*x+b)/c/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)-16/15*(3*b^2*B*e-8*b*c*(A*e+B*d)+4*c*(4*A*c*d+B*a*e))*(2*c*x+b)/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a),1],
[(B*x+A)/(c*x^2+b*x+a)^(7/2),x,3,1/5*(-2*A*b+4*a*B+2*(-2*A*c+B*b)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(5/2)-16/15*(-2*A*c+B*b)*(2*c*x+b)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^(3/2)+128/15*c*(-2*A*c+B*b)*(2*c*x+b)/(-4*a*c+b^2)^3/sqrt(c*x^2+b*x+a),1],
[(B*x+A)/(e*x+d)/(c*x^2+b*x+a)^(7/2),x,5,2/5*(a*B*(-b*e+2*c*d)-A*(2*a*c*e-b^2*e+b*c*d)+c*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(5/2)+2/15*(8*a*c*e*(-b*e+2*c*d)*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)+(2*a*c*e-b^2*e+b*c*d)*(5*b^2*e*(-A*e+B*d)-8*b*c*d*(A*e+B*d)+4*c*(5*A*a*e^2+4*A*c*d^2-B*a*d*e))+c*(8*c*e*(-2*a*e+b*d)*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)+(-b*e+2*c*d)*(5*b^2*e*(-A*e+B*d)-8*b*c*d*(A*e+B*d)+4*c*(5*A*a*e^2+4*A*c*d^2-B*a*d*e)))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^(3/2)+2/15*(4*a*c*e*(-b*e+2*c*d)*(8*c*e*(-2*a*e+b*d)*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)+(-b*e+2*c*d)*(5*b^2*e*(-A*e+B*d)-8*b*c*d*(A*e+B*d)+4*c*(5*A*a*e^2+4*A*c*d^2-B*a*d*e)))-(2*a*c*e-b^2*e+b*c*d)*(8*c*d*e*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)*(4*a*c*e-3*b^2*e+4*b*c*d)+(8*c^2*d^2-3*b^2*e^2-4*c*e*(-3*a*e+b*d))*(5*b^2*e*(-A*e+B*d)-8*b*c*d*(A*e+B*d)+4*c*(5*A*a*e^2+4*A*c*d^2-B*a*d*e)))+c*(4*c*e*(-2*a*e+b*d)*(8*c*e*(-2*a*e+b*d)*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)+(-b*e+2*c*d)*(5*b^2*e*(-A*e+B*d)-8*b*c*d*(A*e+B*d)+4*c*(5*A*a*e^2+4*A*c*d^2-B*a*d*e)))-(-b*e+2*c*d)*(8*c*d*e*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)*(4*a*c*e-3*b^2*e+4*b*c*d)+(8*c^2*d^2-3*b^2*e^2-4*c*e*(-3*a*e+b*d))*(5*b^2*e*(-A*e+B*d)-8*b*c*d*(A*e+B*d)+4*c*(5*A*a*e^2+4*A*c*d^2-B*a*d*e))))*x)/(-4*a*c+b^2)^3/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*x^2+b*x+a)-e^5*(-A*e+B*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(5-x)*(3+2*x)^4/sqrt(3*x^2+5*x+2),x,6,391/135*(3+2*x)^2*sqrt(3*x^2+5*x+2)+53/60*(3+2*x)^3*sqrt(3*x^2+5*x+2)-1/15*(3+2*x)^4*sqrt(3*x^2+5*x+2)+1/648*(27519+9650*x)*sqrt(3*x^2+5*x+2)+28051/648*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^3/sqrt(3*x^2+5*x+2),x,5,32/27*(3+2*x)^2*sqrt(3*x^2+5*x+2)-1/12*(3+2*x)^3*sqrt(3*x^2+5*x+2)+5/648*(3261+1078*x)*sqrt(3*x^2+5*x+2)+19405/648*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^2/sqrt(3*x^2+5*x+2),x,4,-1/9*(3+2*x)^2*sqrt(3*x^2+5*x+2)+1/54*(699+194*x)*sqrt(3*x^2+5*x+2)+1147/54*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)/sqrt(3*x^2+5*x+2),x,3,1/6*(19-2*x)*sqrt(3*x^2+5*x+2)+31/2*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)/sqrt(3*x^2+5*x+2),x,3,-1/3*sqrt(3*x^2+5*x+2)+35/3*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)/(3+2*x)/sqrt(3*x^2+5*x+2),x,5,-arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3)+13*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^2/sqrt(3*x^2+5*x+2),x,3,-13*sqrt(3*x^2+5*x+2)/(15+10*x)+47/5*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^3/sqrt(3*x^2+5*x+2),x,4,-13/10*sqrt(3*x^2+5*x+2)/(3+2*x)^2-73*sqrt(3*x^2+5*x+2)/(75+50*x)+389/50*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^4/sqrt(3*x^2+5*x+2),x,5,-13/15*sqrt(3*x^2+5*x+2)/(3+2*x)^3-49/30*sqrt(3*x^2+5*x+2)/(3+2*x)^2-72*sqrt(3*x^2+5*x+2)/(75+50*x)+331/50*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^5/sqrt(3*x^2+5*x+2),x,6,-13/20*sqrt(3*x^2+5*x+2)/(3+2*x)^4-86/75*sqrt(3*x^2+5*x+2)/(3+2*x)^3-41/24*sqrt(3*x^2+5*x+2)/(3+2*x)^2-681*sqrt(3*x^2+5*x+2)/(750+500*x)+5771/1000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^6/sqrt(3*x^2+5*x+2),x,7,-13/25*sqrt(3*x^2+5*x+2)/(3+2*x)^5-443/500*sqrt(3*x^2+5*x+2)/(3+2*x)^4-2321/1875*sqrt(3*x^2+5*x+2)/(3+2*x)^3-1007/600*sqrt(3*x^2+5*x+2)/(3+2*x)^2-15891*sqrt(3*x^2+5*x+2)/(18750+12500*x)+128381/25000*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(3/2),x,5,-2/3*(3+2*x)^3*(121+139*x)/sqrt(3*x^2+5*x+2)+1664/27*(3+2*x)^2*sqrt(3*x^2+5*x+2)+10/81*(3369+1438*x)*sqrt(3*x^2+5*x+2)+12530/81*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(3/2),x,4,-2/3*(3+2*x)^2*(121+139*x)/sqrt(3*x^2+5*x+2)+2/9*(1239+554*x)*sqrt(3*x^2+5*x+2)+494/9*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(3/2),x,4,-2/3*(3+2*x)*(121+139*x)/sqrt(3*x^2+5*x+2)+184/3*sqrt(3*x^2+5*x+2)+4*sqrt(3)*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2)),1],
[(5-x)*(3+2*x)/(3*x^2+5*x+2)^(3/2),x,3,1/3*(-242-278*x)/sqrt(3*x^2+5*x+2)-4/3*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)/(3*x^2+5*x+2)^(3/2),x,1,(-58-70*x)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)/(3*x^2+5*x+2)^(3/2),x,3,1/5*(-222-282*x)/sqrt(3*x^2+5*x+2)+52/5*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(3/2),x,4,-13/5/(3+2*x)/sqrt(3*x^2+5*x+2)-1/25*(919+1284*x)/sqrt(3*x^2+5*x+2)+604/25*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(3/2),x,5,-13/10/(3+2*x)^2/sqrt(3*x^2+5*x+2)-5/(3+2*x)/sqrt(3*x^2+5*x+2)-3/50*(559+864*x)/sqrt(3*x^2+5*x+2)+966/25*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(3/2),x,6,-13/15/(3+2*x)^3/sqrt(3*x^2+5*x+2)-349/150/(3+2*x)^2/sqrt(3*x^2+5*x+2)-542/75/(3+2*x)/sqrt(3*x^2+5*x+2)-1/250*(8291+13896*x)/sqrt(3*x^2+5*x+2)+6578/125*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^5/(3*x^2+5*x+2)^(3/2),x,7,-13/20/(3+2*x)^4/sqrt(3*x^2+5*x+2)-112/75/(3+2*x)^3/sqrt(3*x^2+5*x+2)-9619/3000/(3+2*x)^2/sqrt(3*x^2+5*x+2)-6931/750/(3+2*x)/sqrt(3*x^2+5*x+2)-1/5000*(172541+305496*x)/sqrt(3*x^2+5*x+2)+82039/1250*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(5/2),x,5,-2/9*(3+2*x)^3*(121+139*x)/(3*x^2+5*x+2)^(3/2)+4/27*(3+2*x)*(6809+7976*x)/sqrt(3*x^2+5*x+2)-6848/9*sqrt(3*x^2+5*x+2)+304/27*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(5/2),x,4,-2/9*(3+2*x)^2*(121+139*x)/(3*x^2+5*x+2)^(3/2)+4/9*(2481+2834*x)/sqrt(3*x^2+5*x+2)-16/9*arctanh(sqrt(3)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(3),1],
[(5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(5/2),x,2,-2/9*(3+2*x)*(121+139*x)/(3*x^2+5*x+2)^(3/2)+4/9*(1869+2186*x)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)/(3*x^2+5*x+2)^(5/2),x,2,1/9*(-242-278*x)/(3*x^2+5*x+2)^(3/2)+1124/9*(5+6*x)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3*x^2+5*x+2)^(5/2),x,2,1/3*(-58-70*x)/(3*x^2+5*x+2)^(3/2)+280/3*(5+6*x)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)/(3*x^2+5*x+2)^(5/2),x,4,1/5*(-74-94*x)/(3*x^2+5*x+2)^(3/2)+12/25*(701+836*x)/sqrt(3*x^2+5*x+2)+208/25*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(5/2),x,5,-13/5/(3+2*x)/(3*x^2+5*x+2)^(3/2)-3/5*(21+32*x)/(3*x^2+5*x+2)^(3/2)+36/25*(159+184*x)/sqrt(3*x^2+5*x+2)+816/25*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(5/2),x,6,-13/10/(3+2*x)^2/(3*x^2+5*x+2)^(3/2)-177/25/(3+2*x)/(3*x^2+5*x+2)^(3/2)-1/50*(653+1272*x)/(3*x^2+5*x+2)^(3/2)+6/125*(2867+2952*x)/sqrt(3*x^2+5*x+2)+9768/125*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(5/2),x,7,-13/15/(3+2*x)^3/(3*x^2+5*x+2)^(3/2)-151/50/(3+2*x)^2/(3*x^2+5*x+2)^(3/2)-1724/125/(3+2*x)/(3*x^2+5*x+2)^(3/2)-1/750*(12133+28392*x)/(3*x^2+5*x+2)^(3/2)+2/625*(17587+7272*x)/sqrt(3*x^2+5*x+2)+92216/625*arctanh(sqrt(5)*(1+x)/sqrt(3*x^2+5*x+2))/sqrt(5),1],
[(-1+x)/(1+x)/sqrt(x^2+x+1),x,5,arcsinh((1+2*x)/sqrt(3))+2*arctanh(1/2*(1-x)/sqrt(x^2+x+1)),1],
[(5-x)*(3+2*x)^(5/2)*sqrt(3*x^2+5*x+2),x,9,-33629/56133*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-2297/6237*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)-145/567*(3+2*x)^(5/2)*sqrt(3*x^2+5*x+2)+1/297*(178-27*x)*(3+2*x)^(7/2)*sqrt(3*x^2+5*x+2)-32567/16038*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+168145/112266*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2),x,8,-5773/8505*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-439/945*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)+1/189*(148-21*x)*(3+2*x)^(5/2)*sqrt(3*x^2+5*x+2)-4729/2430*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+5773/3402*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2),x,7,-1039/945*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)+1/105*(118-15*x)*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)-697/270*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+1039/378*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3*x^2+5*x+2)/sqrt(3+2*x),x,6,1/45*(88-9*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-761/90*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+191/18*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2),x,6,-1/3*(21+x)*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+121/6*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-161/6*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(5/2),x,6,1/15*(146+119*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)-67/10*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+17/2*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(7/2),x,7,49/125*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+1/25*(32+43*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(5/2)-49/250*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)+9/50*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(9/2),x,8,183/875*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)+159/625*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+1/175*(46+139*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(7/2)-159/1250*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)+183/1750*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^(3/2),x,10,-1015187/21891870*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-109541/2432430*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)-1811/44226*(3+2*x)^(5/2)*sqrt(3*x^2+5*x+2)-1/23166*(3+2*x)^(7/2)*(6979+11961*x)*sqrt(3*x^2+5*x+2)+1/195*(82-13*x)*(3+2*x)^(7/2)*(3*x^2+5*x+2)^(3/2)-207851/6254820*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+1015187/8756748*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^(3/2),x,9,-332459/2432430*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-31487/270270*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)-1/54054*(3+2*x)^(5/2)*(20395+40677*x)*sqrt(3*x^2+5*x+2)+1/143*(72-11*x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^(3/2)-152657/694980*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+332459/972972*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3+2*x)*(3*x^2+5*x+2)^(3/2),x,8,-4153/8910*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-1/990*(3+2*x)^(3/2)*(419+1185*x)*sqrt(3*x^2+5*x+2)+1/99*(62-9*x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^(3/2)-15283/17820*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+4153/3564*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/sqrt(3+2*x),x,7,-1/5670*sqrt(3+2*x)*(107+12429*x)*sqrt(3*x^2+5*x+2)+1/63*(52-7*x)*sqrt(3+2*x)*(3*x^2+5*x+2)^(3/2)-11123/1620*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+20501/2268*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(3/2),x,7,-1/210*(136-2493*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-1/7*(47+x)*(3*x^2+5*x+2)^(3/2)/sqrt(3+2*x)+2411/60*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-4427/84*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(5/2),x,7,1/10*(7-165*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)+1/15*(458+327*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(3/2)-367/20*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)+289/4*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(7/2),x,7,-1/50*(614+181*x)*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+1/75*(408+337*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(5/2)+2779/100*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-243/20*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(9/2),x,7,1/1750*(8561+6179*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)+1/175*(358+347*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(7/2)-721/500*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)+1327/700*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(11/2),x,8,-23/11250*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)-1/2250*(189+211*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(5/2)+1/45*(44+51*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(9/2)+23/7500*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+7/1500*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(13/2),x,9,14807/866250*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)+5861/618750*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)-1/57750*(15647+14773*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(7/2)+1/495*(258+367*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(11/2)-5861/412500*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+14807/577500*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^(5/2),x,11,-28429825/942809868*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-2513725/104756652*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)-11125/560196*(3+2*x)^(5/2)*sqrt(3*x^2+5*x+2)-25/4988412*(3+2*x)^(7/2)*(16894+34479*x)*sqrt(3*x^2+5*x+2)-5/25194*(3+2*x)^(7/2)*(1147+2457*x)*(3*x^2+5*x+2)^(3/2)+1/969*(314-51*x)*(3+2*x)^(7/2)*(3*x^2+5*x+2)^(5/2)-16503475/269374248*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+142149125/1885619736*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^(5/2),x,10,-62005241/744323580*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-5567363/82702620*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)-1/16540524*(3+2*x)^(5/2)*(2381920+5645913*x)*sqrt(3*x^2+5*x+2)-1/43758*(3+2*x)^(5/2)*(11065+28127*x)*(3*x^2+5*x+2)^(3/2)+1/765*(284-45*x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^(5/2)-34355693/212663880*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+62005241/297729432*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3+2*x)*(3*x^2+5*x+2)^(5/2),x,9,-5021353/14594580*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-1/1621620*(3+2*x)^(3/2)*(355094+1241385*x)*sqrt(3*x^2+5*x+2)-1/23166*(3+2*x)^(3/2)*(5893+20511*x)*(3*x^2+5*x+2)^(3/2)+1/585*(254-39*x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^(5/2)-2742319/4169880*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+5021353/5837832*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/sqrt(3+2*x),x,8,1/324324*(34372-676791*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-5/18018*sqrt(3+2*x)*(563+4669*x)*(3*x^2+5*x+2)^(3/2)+1/429*(224-33*x)*sqrt(3+2*x)*(3*x^2+5*x+2)^(5/2)-651617/92664*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+5983645/648648*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(3/2),x,8,-1/24948*(21871-471213*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)+5/1386*sqrt(3+2*x)*(218+3031*x)*(3*x^2+5*x+2)^(3/2)-1/11*(73+x)*(3*x^2+5*x+2)^(5/2)/sqrt(3+2*x)+451331/7128*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-4145485/49896*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(5/2),x,8,5/756*(326-6957*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-1/42*sqrt(3+2*x)*(87+1127*x)*(3*x^2+5*x+2)^(3/2)+1/3*(154+107*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(3/2)-33335/216*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+306175/1512*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(7/2),x,8,-1/140*(341-7305*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-1/210*(7060+1167*x)*(3*x^2+5*x+2)^(3/2)/sqrt(3+2*x)+1/15*(144+109*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(5/2)+2333/40*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)-12857/56*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(9/2),x,8,1/140*(200-4269*x)*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)+1/210*(11453+8007*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(3/2)+1/35*(134+111*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(7/2)-4091/40*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+2505/56*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(11/2),x,8,-1/2100*(27213+7877*x)*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+1/3150*(14311+10729*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(5/2)+1/63*(124+113*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(9/2)+17699/600*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-32513/840*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(13/2),x,8,1/346500*(1301762+948443*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)+1/34650*(24161+18699*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(7/2)+1/99*(114+115*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(11/2)-107857/33000*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+198109/46200*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(15/2),x,9,-5083/247500*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+1/346500*(21492+17833*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(5/2)+1/6930*(73-33*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(9/2)+1/11*(8+9*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(13/2)+5083/165000*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-9421/231000*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(17/2),x,10,594851/112612500*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)+335723/80437500*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)-1/7507500*(386846+328339*x)*sqrt(3*x^2+5*x+2)/(3+2*x)^(7/2)-1/64350*(8901+8399*x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(11/2)+1/195*(94+119*x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(15/2)-335723/53625000*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+594851/75075000*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(5/2)/sqrt(3*x^2+5*x+2),x,8,1010/189*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)+10/7*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)-2/21*(3+2*x)^(5/2)*sqrt(3*x^2+5*x+2)+865/27*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-2525/189*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(3/2)/sqrt(3*x^2+5*x+2),x,7,326/135*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-2/15*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)+2743/135*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-163/27*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3+2*x)/sqrt(3*x^2+5*x+2),x,6,-2/9*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)+101/9*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+5/9*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/sqrt(3+2*x)/sqrt(3*x^2+5*x+2),x,5,-sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+13*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(3/2)/sqrt(3*x^2+5*x+2),x,6,-26/5*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+13/5*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)-sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(5/2)/sqrt(3*x^2+5*x+2),x,7,-26/15*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)-386/75*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+193/25*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-13/5*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(7/2)/sqrt(3*x^2+5*x+2),x,8,-26/25*sqrt(3*x^2+5*x+2)/(3+2*x)^(5/2)-782/375*sqrt(3*x^2+5*x+2)/(3+2*x)^(3/2)-9002/1875*sqrt(3*x^2+5*x+2)/sqrt(3+2*x)+4501/625*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-391/125*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^(3/2),x,8,-2/27*sqrt(3+2*x)*(2449+2611*x)/sqrt(3*x^2+5*x+2)+328/135*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-8/45*(3+2*x)^(3/2)*sqrt(3*x^2+5*x+2)+34174/135*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-6034/27*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^(3/2),x,7,-2/9*sqrt(3+2*x)*(533+587*x)/sqrt(3*x^2+5*x+2)-8/27*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)+3830/27*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-4150/27*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^(3/2),x,6,-2/3*sqrt(3+2*x)*(121+139*x)/sqrt(3*x^2+5*x+2)+274/3*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-350/3*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3+2*x)/(3*x^2+5*x+2)^(3/2),x,6,-2*sqrt(3+2*x)*(29+35*x)/sqrt(3*x^2+5*x+2)+70*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-94*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/sqrt(3+2*x)/(3*x^2+5*x+2)^(3/2),x,6,-6/5*sqrt(3+2*x)*(37+47*x)/sqrt(3*x^2+5*x+2)+94/5*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)-70*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^(3/2),x,7,-26/5/sqrt(3+2*x)/sqrt(3*x^2+5*x+2)-2/25*sqrt(3+2*x)*(466+681*x)/sqrt(3*x^2+5*x+2)+454/25*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)-94/5*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^(3/2),x,8,-26/15/(3+2*x)^(3/2)/sqrt(3*x^2+5*x+2)-802/75/sqrt(3+2*x)/sqrt(3*x^2+5*x+2)-2/375*sqrt(3+2*x)*(6577+11157*x)/sqrt(3*x^2+5*x+2)+7438/125*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-1258/25*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^(3/2),x,9,-26/25/(3+2*x)^(5/2)/sqrt(3*x^2+5*x+2)-1198/375/(3+2*x)^(3/2)/sqrt(3*x^2+5*x+2)-30146/1875/sqrt(3+2*x)/sqrt(3*x^2+5*x+2)-2/9375*sqrt(3+2*x)*(168596+320061*x)/sqrt(3*x^2+5*x+2)+213374/3125*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)-30734/625*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(9/2)/(3*x^2+5*x+2)^(5/2),x,8,-2/243*sqrt(3+2*x)*(11597+12083*x)/(3*x^2+5*x+2)^(3/2)+4/243*sqrt(3+2*x)*(66911+83523*x)/sqrt(3*x^2+5*x+2)-32/81*sqrt(3+2*x)*sqrt(3*x^2+5*x+2)-110516/81*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+148780/81*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^(5/2),x,7,-2/81*sqrt(3+2*x)*(2449+2611*x)/(3*x^2+5*x+2)^(3/2)+4/81*sqrt(3+2*x)*(19540+23883*x)/sqrt(3*x^2+5*x+2)-31892/27*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+41860/27*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^(5/2),x,7,-2/27*sqrt(3+2*x)*(533+587*x)/(3*x^2+5*x+2)^(3/2)+4/27*sqrt(3+2*x)*(5321+6465*x)/sqrt(3*x^2+5*x+2)-8620/9*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+11300/9*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^(5/2),x,7,-2/9*sqrt(3+2*x)*(121+139*x)/(3*x^2+5*x+2)^(3/2)+4/9*sqrt(3+2*x)*(1390+1689*x)/sqrt(3*x^2+5*x+2)-2252/3*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+2956/3*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)*sqrt(3+2*x)/(3*x^2+5*x+2)^(5/2),x,7,-2/3*sqrt(3+2*x)*(29+35*x)/(3*x^2+5*x+2)^(3/2)+4/15*sqrt(3+2*x)*(1759+2139*x)/sqrt(3*x^2+5*x+2)-2852/5*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+748*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/sqrt(3+2*x)/(3*x^2+5*x+2)^(5/2),x,7,-2/5*sqrt(3+2*x)*(37+47*x)/(3*x^2+5*x+2)^(3/2)+4/25*sqrt(3+2*x)*(2152+2607*x)/sqrt(3*x^2+5*x+2)-3476/25*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)+916/5*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^(5/2),x,8,-26/5/sqrt(3+2*x)/(3*x^2+5*x+2)^(3/2)-2/25*sqrt(3+2*x)*(164+279*x)/(3*x^2+5*x+2)^(3/2)+4/125*sqrt(3+2*x)*(7489+8799*x)/sqrt(3*x^2+5*x+2)-11732/125*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)+3212/25*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^(5/2),x,9,-26/15/(3+2*x)^(3/2)/(3*x^2+5*x+2)^(3/2)-406/25/sqrt(3+2*x)/(3*x^2+5*x+2)^(3/2)-2/375*sqrt(3+2*x)*(2867+6987*x)/(3*x^2+5*x+2)^(3/2)+4/1875*sqrt(3+2*x)*(69742+71547*x)/sqrt(3*x^2+5*x+2)-95396/625*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2)+30836/125*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3)/sqrt(3*x^2+5*x+2),1],
[(5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^(5/2),x,10,-26/25/(3+2*x)^(5/2)/(3*x^2+5*x+2)^(3/2)-538/125/(3+2*x)^(3/2)/(3*x^2+5*x+2)^(3/2)-21534/625/sqrt(3+2*x)/(3*x^2+5*x+2)^(3/2)-2/3125*sqrt(3+2*x)*(33946+102381*x)/(3*x^2+5*x+2)^(3/2)+4/15625*sqrt(3+2*x)*(255821+80661*x)/sqrt(3*x^2+5*x+2)-107548/15625*sqrt(3)*sqrt(-3*x^2-5*x-2)*EllipticE(sin(arcsin(sqrt(3)*sqrt(1+x))),sqrt(-2/3))/sqrt(3*x^2+5*x+2)+129268/3125*sqrt(3)*sqrt(-3*x^2-5*x-2)*InverseJacobiAM(arcsin(sqrt(3)*sqrt(1+x)),sqrt(-2/3))/sqrt(3*x^2+5*x+2),1],
[(B*x+A)*(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a),x,7,2/15*(5*A*c*e-4*B*b*e+3*B*c*d)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2+2/5*B*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c+1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(10*A*c*e*(-b*e+2*c*d)+B*(3*c^2*d^2+8*b^2*e^2-c*e*(9*a*e+13*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^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*A*c*e-4*B*b*e+3*B*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/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)*sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,6,2/3*B*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c+1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(3*A*c*e-2*B*b*e+B*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/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)*B*sqrt(-4*a*c+b^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*(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/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,5,sqrt(2)*B*sqrt(-4*a*c+b^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/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*sqrt(2)*sqrt(-4*a*c+b^2)*(-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/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)/(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a),x,6,2*(-A*e+B*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-sqrt(2)*sqrt(-4*a*c+b^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/(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)*B*sqrt(-4*a*c+b^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/e/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)/(e*x+d)^(5/2)/sqrt(c*x^2+b*x+a),x,7,2/3*(-A*e+B*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+2/3*(B*c*d^2+B*e*(-3*a*e+b*d)-2*A*e*(-b*e+2*c*d))*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(B*c*d^2+B*e*(-3*a*e+b*d)-2*A*e*(-b*e+2*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)))/e/(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)*(-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/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x,8,-2*(A*b-2*a*B-(-2*A*c+B*b)*x)*(e*x+d)^(5/2)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+2/3*e*(4*b^2*B*e-3*b*c*(A*e+B*d)+2*c*(3*A*c*d-5*B*a*e))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)-2*(-2*A*c+B*b)*e*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)-1/3*sqrt(2)*(8*b^3*B*e^2-b^2*c*e*(6*A*e+13*B*d)-2*c^2*(-9*A*a*e^2+3*A*c*d^2-20*B*a*d*e)+b*c*(6*A*c*d*e-29*B*a*e^2+3*B*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^3/sqrt(-4*a*c+b^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)*(a*e^2-b*d*e+c*d^2)*(4*b^2*B*e-3*b*c*(A*e+B*d)+2*c*(3*A*c*d-5*B*a*e))*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/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,7,-2*(A*b-2*a*B-(-2*A*c+B*b)*x)*(e*x+d)^(3/2)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)-2*(-2*A*c+B*b)*e*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)+sqrt(2)*(2*b^2*B*e-b*c*(A*e+B*d)+2*c*(A*c*d-3*B*a*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^2/sqrt(-4*a*c+b^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)*(-2*A*c+B*b)*(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^2/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)*sqrt(e*x+d)/(c*x^2+b*x+a)^(3/2),x,6,-2*(A*b-2*a*B-(-2*A*c+B*b)*x)*sqrt(e*x+d)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)-sqrt(2)*(-2*A*c+B*b)*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/sqrt(-4*a*c+b^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)*(A*b*e-2*A*c*d-2*B*a*e+B*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/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)/sqrt(e*x+d)/(c*x^2+b*x+a)^(3/2),x,6,2*sqrt(e*x+d)*(a*B*(-b*e+2*c*d)-A*(2*a*c*e-b^2*e+b*c*d)+c*(A*b*e-2*A*c*d-2*B*a*e+B*b*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)-sqrt(2)*(A*b*e-2*A*c*d-2*B*a*e+B*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)))/sqrt(-4*a*c+b^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)*(-2*A*c+B*b)*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/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,7,2*(-A*e+B*d)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a)+2*sqrt(e*x+d)*(3*a*c*(-A*e+B*d)*(-b*e+2*c*d)-(-2*A*b*e+A*c*d+B*a*e+B*b*d)*(2*a*c*e-b^2*e+b*c*d)+c*(3*c*(-2*a*e+b*d)*(-A*e+B*d)-(-b*e+2*c*d)*(-2*A*b*e+A*c*d+B*a*e+B*b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)-sqrt(2)*(b^2*e*(-2*A*e+B*d)-2*c*(-3*A*a*e^2+A*c*d^2+4*B*a*d*e)+b*(2*A*c*d*e+B*a*e^2+B*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)))/sqrt(-4*a*c+b^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*sqrt(2)*(A*b*e-2*A*c*d-2*B*a*e+B*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)))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^2*(g*x+f)*(c*x^2+b*x+a)^(1/4),x,6,1/168*(56*c^3*d^2*f-13*b^3*e^2*g+6*b*c*e*(4*a*e*g+6*b*d*g+3*b*e*f)-4*c^2*(7*b*d*(d*g+2*e*f)+4*a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^4+2/9*g*(e*x+d)^2*(c*x^2+b*x+a)^(5/4)/c+1/630*(117*b^2*e^2*g+56*c^2*d*(2*d*g+9*e*f)-2*c*e*(56*a*e*g+81*b*(2*d*g+e*f))+10*c*e*(-13*b*e*g+8*c*d*g+18*c*e*f)*x)*(c*x^2+b*x+a)^(5/4)/c^3+1/168*(4*a*c-b^2)^(3/2)*(56*c^3*d^2*f-13*b^3*e^2*g+6*b*c*e*(4*a*e*g+6*b*d*g+3*b*e*f)-4*c^2*(7*b*d*(d*g+2*e*f)+4*a*e*(2*d*g+e*f)))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^5/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)*(g*x+f)*(c*x^2+b*x+a)^(1/4),x,5,1/84*(28*c^2*d*f+9*b^2*e*g-8*a*c*e*g-14*b*c*(d*g+e*f))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^3-1/35*(9*b*e*g-14*c*(d*g+e*f)-10*c*e*g*x)*(c*x^2+b*x+a)^(5/4)/c^2+1/84*(4*a*c-b^2)^(3/2)*(28*c^2*d*f+9*b^2*e*g-8*a*c*e*g-14*b*c*(d*g+e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(3/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(1/4),x,5,1/6*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^2+2/5*g*(c*x^2+b*x+a)^(5/4)/c+1/6*(4*a*c-b^2)^(3/2)*(-b*g+2*c*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^3/(c*x^2+b*x+a)^(3/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(1/4)/(e*x+d),x,18,1/3*(2*c*e*g*x+b*e*g-6*c*d*g+6*c*e*f)*(c*x^2+b*x+a)^(1/4)/c/e^2-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(1/4)*(-d*g+e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(5/2)/(c*x^2+b*x+a)^(3/4)-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(1/4)*(-d*g+e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(5/2)/(c*x^2+b*x+a)^(3/4)-1/3*sqrt(4*a*c-b^2)*(b^2*e^2*g+12*c^2*d*(-d*g+e*f)-2*c*e*(2*a*e*g-3*b*d*g+3*b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^2/e^3/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*(-d*g+e*f)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^3/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*(-d*g+e*f)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^3/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(1/4)/(e*x+d)^2,x,19,-(c*d*(-3*d*g+e*f)-e*(2*a*e*g-3*b*d*g+b*e*f)-c*e*(-d*g+e*f)*x)*(c*x^2+b*x+a)^(1/4)/e^2/(a*e^2-b*d*e+c*d^2)-(-d*g+e*f)*(c*x^2+b*x+a)^(5/4)/(a*e^2-b*d*e+c*d^2)/(e*x+d)+1/4*(4*a*c-b^2)^(3/4)*(2*c*d*(-3*d*g+e*f)-e*(4*a*e*g-5*b*d*g+b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(5/2)/(a*e^2-b*d*e+c*d^2)^(3/4)/(c*x^2+b*x+a)^(3/4)+1/4*(4*a*c-b^2)^(3/4)*(2*c*d*(-3*d*g+e*f)-e*(4*a*e*g-5*b*d*g+b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(5/2)/(a*e^2-b*d*e+c*d^2)^(3/4)/(c*x^2+b*x+a)^(3/4)+sqrt(2)*sqrt(4*a*c-b^2)*(b*e*g-3*c*d*g+c*e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/c/e^3/(c*x^2+b*x+a)^(3/4)+1/4*(-4*a*c+b^2)*(-b*e+2*c*d)*(2*c*d*(-3*d*g+e*f)-e*(4*a*e*g-5*b*d*g+b*e*f))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^3/(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)+1/4*(-4*a*c+b^2)*(-b*e+2*c*d)*(2*c*d*(-3*d*g+e*f)-e*(4*a*e*g-5*b*d*g+b*e*f))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^3/(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^2*(g*x+f)*(c*x^2+b*x+a)^(3/4),x,6,1/360*(72*c^3*d^2*f-15*b^3*e^2*g+2*b*c*e*(12*a*e*g+11*b*(2*d*g+e*f))-4*c^2*(9*b*d*(d*g+2*e*f)+4*a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/4)/c^4+2/11*g*(e*x+d)^2*(c*x^2+b*x+a)^(7/4)/c+1/1386*(165*b^2*e^2*g+72*c^2*d*(2*d*g+11*e*f)-2*c*e*(72*a*e*g+121*b*(2*d*g+e*f))+14*c*e*(-15*b*e*g+8*c*d*g+22*c*e*f)*x)*(c*x^2+b*x+a)^(7/4)/c^3-1/240*(-4*a*c+b^2)^(3/2)*(72*c^3*d^2*f-15*b^3*e^2*g+2*b*c*e*(12*a*e*g+11*b*(2*d*g+e*f))-4*c^2*(9*b*d*(d*g+2*e*f)+4*a*e*(2*d*g+e*f)))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^5/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)*(g*x+f)*(c*x^2+b*x+a)^(3/4),x,5,1/180*(36*c^2*d*f+11*b^2*e*g-8*a*c*e*g-18*b*c*(d*g+e*f))*(2*c*x+b)*(c*x^2+b*x+a)^(3/4)/c^3-1/63*(11*b*e*g-18*c*(d*g+e*f)-14*c*e*g*x)*(c*x^2+b*x+a)^(7/4)/c^2-1/120*(-4*a*c+b^2)^(3/2)*(36*c^2*d*f+11*b^2*e*g-8*a*c*e*g-18*b*c*(d*g+e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(1/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(3/4),x,5,1/10*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(3/4)/c^2+2/7*g*(c*x^2+b*x+a)^(7/4)/c-3/20*(-4*a*c+b^2)^(3/2)*(-b*g+2*c*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^3/(c*x^2+b*x+a)^(1/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(3/4)/(e*x+d),x,17,1/15*(6*c*e*g*x+3*b*e*g-10*c*d*g+10*c*e*f)*(c*x^2+b*x+a)^(3/4)/c/e^2+(4*a*c-b^2)^(1/4)*(a*e^2-b*d*e+c*d^2)^(3/4)*(-d*g+e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(7/2)/(c*x^2+b*x+a)^(1/4)-(4*a*c-b^2)^(1/4)*(a*e^2-b*d*e+c*d^2)^(3/4)*(-d*g+e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(7/2)/(c*x^2+b*x+a)^(1/4)-1/10*sqrt(-4*a*c+b^2)*(3*b^2*e^2*g+20*c^2*d*(-d*g+e*f)-2*c*e*(6*a*e*g-5*b*d*g+5*b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^2/e^3/(c*x^2+b*x+a)^(1/4)-sqrt(4*a*c-b^2)*(-b*e+2*c*d)*sqrt(a*e^2-b*d*e+c*d^2)*(-d*g+e*f)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^4/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)+sqrt(4*a*c-b^2)*(-b*e+2*c*d)*sqrt(a*e^2-b*d*e+c*d^2)*(-d*g+e*f)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^4/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(3/4)/(e*x+d)^2,x,18,-1/3*(c*d*(-5*d*g+3*e*f)-e*(2*a*e*g-5*b*d*g+3*b*e*f)-3*c*e*(-d*g+e*f)*x)*(c*x^2+b*x+a)^(3/4)/e^2/(a*e^2-b*d*e+c*d^2)-(-d*g+e*f)*(c*x^2+b*x+a)^(7/4)/(a*e^2-b*d*e+c*d^2)/(e*x+d)-1/4*(4*a*c-b^2)^(1/4)*(2*c*d*(-5*d*g+3*e*f)-e*(4*a*e*g-7*b*d*g+3*b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(7/2)/(a*e^2-b*d*e+c*d^2)^(1/4)/(c*x^2+b*x+a)^(1/4)+1/4*(4*a*c-b^2)^(1/4)*(2*c*d*(-5*d*g+3*e*f)-e*(4*a*e*g-7*b*d*g+3*b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(7/2)/(a*e^2-b*d*e+c*d^2)^(1/4)/(c*x^2+b*x+a)^(1/4)+sqrt(-4*a*c+b^2)*(b*e*g-5*c*d*g+3*c*e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c/e^3/(c*x^2+b*x+a)^(1/4)+1/4*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(2*c*d*(-5*d*g+3*e*f)-e*(4*a*e*g-7*b*d*g+3*b*e*f))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^4/sqrt(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)-1/4*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(2*c*d*(-5*d*g+3*e*f)-e*(4*a*e*g-7*b*d*g+3*b*e*f))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^4/sqrt(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)^2*(g*x+f)*(c*x^2+b*x+a)^(5/4),x,7,-5/7392*(-4*a*c+b^2)*(88*c^3*d^2*f-17*b^3*e^2*g+2*b*c*e*(12*a*e*g+13*b*(2*d*g+e*f))-4*c^2*(11*b*d*(d*g+2*e*f)+4*a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^5+1/616*(88*c^3*d^2*f-17*b^3*e^2*g+2*b*c*e*(12*a*e*g+13*b*(2*d*g+e*f))-4*c^2*(11*b*d*(d*g+2*e*f)+4*a*e*(2*d*g+e*f)))*(2*c*x+b)*(c*x^2+b*x+a)^(5/4)/c^4+2/13*g*(e*x+d)^2*(c*x^2+b*x+a)^(9/4)/c+1/2574*(221*b^2*e^2*g+88*c^2*d*(2*d*g+13*e*f)-2*c*e*(88*a*e*g+169*b*(2*d*g+e*f))+18*c*e*(-17*b*e*g+8*c*d*g+26*c*e*f)*x)*(c*x^2+b*x+a)^(9/4)/c^3+5/7392*(4*a*c-b^2)^(5/2)*(88*c^3*d^2*f-17*b^3*e^2*g+2*b*c*e*(12*a*e*g+13*b*(2*d*g+e*f))-4*c^2*(11*b*d*(d*g+2*e*f)+4*a*e*(2*d*g+e*f)))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^6/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)*(g*x+f)*(c*x^2+b*x+a)^(5/4),x,6,-5/3696*(-4*a*c+b^2)*(44*c^2*d*f+13*b^2*e*g-8*a*c*e*g-22*b*c*(d*g+e*f))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^4+1/308*(44*c^2*d*f+13*b^2*e*g-8*a*c*e*g-22*b*c*(d*g+e*f))*(2*c*x+b)*(c*x^2+b*x+a)^(5/4)/c^3-1/99*(13*b*e*g-22*c*(d*g+e*f)-18*c*e*g*x)*(c*x^2+b*x+a)^(9/4)/c^2+5/3696*(4*a*c-b^2)^(5/2)*(44*c^2*d*f+13*b^2*e*g-8*a*c*e*g-22*b*c*(d*g+e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^5/(c*x^2+b*x+a)^(3/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(5/4),x,6,-5/168*(-4*a*c+b^2)*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^3+1/14*(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^(5/4)/c^2+2/9*g*(c*x^2+b*x+a)^(9/4)/c+5/168*(4*a*c-b^2)^(5/2)*(-b*g+2*c*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(3/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(5/4)/(e*x+d),x,19,-1/84*(5*b^3*e^3*g-168*c^3*d^2*(-d*g+e*f)+28*c^2*e*(-6*a*e+7*b*d)*(-d*g+e*f)-2*b*c*e^2*(10*a*e*g-7*b*d*g+7*b*e*f)+2*c*e*(14*c*e*(-b*e+2*c*d)*f+5*(-4*a*c+b^2)*e^2*g-14*c*d*(-b*e+2*c*d)*g)*x)*(c*x^2+b*x+a)^(1/4)/c^2/e^4+1/35*(10*c*e*g*x+5*b*e*g-14*c*d*g+14*c*e*f)*(c*x^2+b*x+a)^(5/4)/c/e^2-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(5/4)*(-d*g+e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(9/2)/(c*x^2+b*x+a)^(3/4)-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(5/4)*(-d*g+e*f)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(9/2)/(c*x^2+b*x+a)^(3/4)+1/84*sqrt(4*a*c-b^2)*(5*b^4*e^4*g-336*c^4*d^3*(-d*g+e*f)+56*c^3*d*e*(-8*a*e+9*b*d)*(-d*g+e*f)-2*b^2*c*e^3*(20*a*e*g-7*b*d*g+7*b*e*f)+4*c^2*e^2*(20*a^2*e^2*g-35*b^2*d*(-d*g+e*f)+56*a*b*e*(-d*g+e*f)))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^3/e^5/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(-d*g+e*f)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^5/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(-d*g+e*f)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^5/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(g*x+f)*(c*x^2+b*x+a)^(5/4)/(e*x+d)^2,x,20,1/6*(b^2*e^2*g-6*c^2*d*(-7*d*g+5*e*f)+2*c*e*(6*a*e*g-17*b*d*g+10*b*e*f)+2*c*e*(b*e*g-7*c*d*g+5*c*e*f)*x)*(c*x^2+b*x+a)^(1/4)/c/e^4-1/5*(c*d*(-7*d*g+5*e*f)-e*(2*a*e*g-7*b*d*g+5*b*e*f)-5*c*e*(-d*g+e*f)*x)*(c*x^2+b*x+a)^(5/4)/e^2/(a*e^2-b*d*e+c*d^2)-(-d*g+e*f)*(c*x^2+b*x+a)^(9/4)/(a*e^2-b*d*e+c*d^2)/(e*x+d)+1/4*(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(1/4)*(2*c*d*(-7*d*g+5*e*f)-e*(4*a*e*g-9*b*d*g+5*b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(9/2)/(c*x^2+b*x+a)^(3/4)+1/4*(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(1/4)*(2*c*d*(-7*d*g+5*e*f)-e*(4*a*e*g-9*b*d*g+5*b*e*f))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(9/2)/(c*x^2+b*x+a)^(3/4)-1/6*sqrt(4*a*c-b^2)*(b^3*e^3*g-12*c^3*d^2*(-7*d*g+5*e*f)-4*c^2*e*(a*e*(-13*d*g+5*e*f)-3*b*d*(-8*d*g+5*e*f))-2*b*c*e^2*(8*a*e*g+5*b*(-2*d*g+e*f)))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^2/e^5/(c*x^2+b*x+a)^(3/4)+1/4*(-4*a*c+b^2)*(-b*e+2*c*d)*(2*c*d*(-7*d*g+5*e*f)-e*(4*a*e*g-9*b*d*g+5*b*e*f))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^5/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)+1/4*(-4*a*c+b^2)*(-b*e+2*c*d)*(2*c*d*(-7*d*g+5*e*f)-e*(4*a*e*g-9*b*d*g+5*b*e*f))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^5/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^m*(g*x+f)*(c*x^2+b*x+a)^3,x,2,(a*e^2-b*d*e+c*d^2)^3*(-d*g+e*f)*(e*x+d)^(1+m)/e^8/(1+m)-(a*e^2-b*d*e+c*d^2)^2*(c*d*(-7*d*g+6*e*f)-e*(a*e*g-4*b*d*g+3*b*e*f))*(e*x+d)^(2+m)/e^8/(2+m)+3*(a*e^2-b*d*e+c*d^2)*(c^2*d^2*(-7*d*g+5*e*f)+b*e^2*(a*e*g-2*b*d*g+b*e*f)-c*e*(b*d*(-8*d*g+5*e*f)-a*e*(-3*d*g+e*f)))*(e*x+d)^(3+m)/e^8/(3+m)-(5*c^3*d^3*(-7*d*g+4*e*f)-b^2*e^3*(3*a*e*g-4*b*d*g+b*e*f)-3*c*e^2*(a^2*e^2*g-2*b^2*d*(-5*d*g+2*e*f)+2*a*b*e*(-4*d*g+e*f))+6*c^2*d*e*(a*e*(-5*d*g+2*e*f)-5*b*d*(-2*d*g+e*f)))*(e*x+d)^(4+m)/e^8/(4+m)+(b^3*e^3*g+5*c^3*d^2*(-7*d*g+3*e*f)+3*b*c*e^2*(2*a*e*g-5*b*d*g+b*e*f)+3*c^2*e*(a*e*(-5*d*g+e*f)-5*b*d*(-3*d*g+e*f)))*(e*x+d)^(5+m)/e^8/(5+m)+3*c*(b^2*e^2*g-c^2*d*(-7*d*g+2*e*f)+c*e*(a*e*g-6*b*d*g+b*e*f))*(e*x+d)^(6+m)/e^8/(6+m)+c^2*(3*b*e*g-7*c*d*g+c*e*f)*(e*x+d)^(7+m)/e^8/(7+m)+c^3*g*(e*x+d)^(8+m)/e^8/(8+m),1],
[(e*x+d)^m*(g*x+f)*(c*x^2+b*x+a)^2,x,2,(a*e^2-b*d*e+c*d^2)^2*(-d*g+e*f)*(e*x+d)^(1+m)/e^6/(1+m)-(a*e^2-b*d*e+c*d^2)*(c*d*(-5*d*g+4*e*f)-e*(a*e*g-3*b*d*g+2*b*e*f))*(e*x+d)^(2+m)/e^6/(2+m)+(2*c^2*d^2*(-5*d*g+3*e*f)+b*e^2*(2*a*e*g-3*b*d*g+b*e*f)+2*c*e*(a*e*(-3*d*g+e*f)-3*b*d*(-2*d*g+e*f)))*(e*x+d)^(3+m)/e^6/(3+m)+(b^2*e^2*g-2*c^2*d*(-5*d*g+2*e*f)+2*c*e*(a*e*g-4*b*d*g+b*e*f))*(e*x+d)^(4+m)/e^6/(4+m)+c*(2*b*e*g-5*c*d*g+c*e*f)*(e*x+d)^(5+m)/e^6/(5+m)+c^2*g*(e*x+d)^(6+m)/e^6/(6+m),1],
[(e*x+d)^m*(g*x+f)*(c*x^2+b*x+a),x,2,(a*e^2-b*d*e+c*d^2)*(-d*g+e*f)*(e*x+d)^(1+m)/e^4/(1+m)-(c*d*(-3*d*g+2*e*f)-e*(a*e*g-2*b*d*g+b*e*f))*(e*x+d)^(2+m)/e^4/(2+m)+(b*e*g-3*c*d*g+c*e*f)*(e*x+d)^(3+m)/e^4/(3+m)+c*g*(e*x+d)^(4+m)/e^4/(4+m),1],
[(e*x+d)^m*(g*x+f)/(c*x^2+b*x+a),x,3,-(2*c*f-(b-sqrt(-4*a*c+b^2))*g)*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(1+m)+(2*c*f-(b+sqrt(-4*a*c+b^2))*g)*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(1+m),1],
[(e*x+d)^m*(g*x+f)/(c*x^2+b*x+a)^2,x,4,-(e*x+d)^(1+m)*(b*c*d*f-b^2*e*f+2*a*c*e*f-2*a*c*d*g+a*b*e*g+c*(2*c*d*f+2*a*e*g-b*(d*g+e*f))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+c*(4*c^2*d^2*f+(b-sqrt(-4*a*c+b^2))*e*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*m-2*b*e*(a*e*g*(1+m)-b*(e*f*m+d*g))+2*c*(2*a*e*(e*f*(1-m)+d*g*m)-b*d*(d*g+e*f*(2+m))))*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/(-4*a*c+b^2)^(3/2)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+m)-c*(4*c^2*d^2*f+(b+sqrt(-4*a*c+b^2))*e*(2*c*d*f+2*a*e*g-b*(d*g+e*f))*m-2*b*e*(a*e*g*(1+m)-b*(e*f*m+d*g))+2*c*(2*a*e*(e*f*(1-m)+d*g*m)-b*d*(d*g+e*f*(2+m))))*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/(-4*a*c+b^2)^(3/2)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+m),1],
[(e*x+d)^(1+m)*(g*x+f)/(c*x^2+b*x+a),x,3,-(2*c*f-(b-sqrt(-4*a*c+b^2))*g)*(e*x+d)^(2+m)*hypergeom([1, 2+m],[3+m],2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(2+m)+(2*c*f-(b+sqrt(-4*a*c+b^2))*g)*(e*x+d)^(2+m)*hypergeom([1, 2+m],[3+m],2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(2+m),1],
[(e*x+d)^3*(g*x+f)*(c*x^2+b*x+a)^p,x,5,-1/2*(b*e*g*(4+p)-c*(3*d*g+e*f*(5+2*p)))*(e*x+d)^2*(c*x^2+b*x+a)^(p+1)/c^2/(2+p)/(5+2*p)+g*(e*x+d)^3*(c*x^2+b*x+a)^(p+1)/c/(5+2*p)+1/4*(c*(3+2*p)*(2*b*e^2*g*(4+p)*(a*e+b*d*(2+p))+2*c^2*d^2*(3*d*g+e*f*(5+2*p)^2)-2*c*e*(a*e*(3*d*g+e*f)*(5+2*p)+b*d*(2*d*g*(p^2+5*p+7)+e*f*(2*p^2+9*p+10))))-b*e*(2+p)*(b*e*(3+p)*(b*e*g*(4+p)-c*(3*d*g+e*f*(5+2*p)))-2*c*(e*g*(3*a*e*(2+p)+b*d*(p^2+4*p+6))-c*d*(3*d*g+e*f*(2*p^2+11*p+15))))+2*c*e*(p+1)*(b*e*(3+p)*(b*e*g*(4+p)-c*(3*d*g+e*f*(5+2*p)))-2*c*(e*g*(3*a*e*(2+p)+b*d*(p^2+4*p+6))-c*d*(3*d*g+e*f*(2*p^2+11*p+15))))*x)*(c*x^2+b*x+a)^(p+1)/c^4/(p+1)/(2+p)/(3+2*p)/(5+2*p)+2^(-3-2*p)*(b^4*e^3*g*(p^2+7*p+12)+4*c^4*d^3*f*(4*p^2+16*p+15)-2*c^3*d*(5+2*p)*(6*a*e*(d*g+e*f)+b*d*(d*g+3*e*f)*(3+2*p))-b^2*c*e^2*(3+p)*(12*a*e*g+b*(3*d*g+e*f)*(5+2*p))+6*c^2*e*(2*a^2*e^2*g+a*b*e*(3*d*g+e*f)*(5+2*p)+b^2*d*(d*g+e*f)*(2*p^2+9*p+10)))*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^5/(3+2*p)/(5+2*p)/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(e*x+d)^2*(g*x+f)*(c*x^2+b*x+a)^p,x,4,1/2*g*(e*x+d)^2*(c*x^2+b*x+a)^(p+1)/c/(2+p)+1/4*(b*e*(2+p)*(b*e*g*(3+p)-2*c*(d*g+e*f*(2+p)))-2*c*(3+2*p)*(e*g*(a*e+b*d*(2+p))-c*d*(d*g+2*e*f*(2+p)))-2*c*e*(p+1)*(b*e*g*(3+p)-2*c*(d*g+e*f*(2+p)))*x)*(c*x^2+b*x+a)^(p+1)/c^3/(p+1)/(2+p)/(3+2*p)-2^(-3-2*p)*(b^3*e^2*g*(3+p)-4*c^3*d^2*f*(3+2*p)-2*b*c*e*(3*a*e*g+b*(2*d*g+e*f)*(2+p))+2*c^2*(2*a*e*(2*d*g+e*f)+b*d*(d*g+2*e*f)*(3+2*p)))*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^4/(3+2*p)/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(e*x+d)*(g*x+f)*(c*x^2+b*x+a)^p,x,3,-1/2*(b*e*g*(2+p)-c*(d*g+e*f)*(3+2*p)-2*c*e*g*(p+1)*x)*(c*x^2+b*x+a)^(p+1)/c^2/(p+1)/(3+2*p)+(c*(-b*d*g-b*e*f+2*c*d*f)*(3+2*p)-e*g*(2*a*c-b^2*(2+p)))*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/(2^(2*p+2))/c^3/(3+2*p)/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(g*x+f)*(c*x^2+b*x+a)^p,x,3,1/2*g*(c*x^2+b*x+a)^(p+1)/c/(p+1)+(-b*g+2*c*f)*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/(2^(2*p+2))/c^2/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(g*x+f)*(c*x^2+b*x+a)^p/(e*x+d),x,5,2^(-1+2*p)*(-d*g+e*f)*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e^2/p/((e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/((e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)+2^(-1-2*p)*g*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c/e/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(g*x+f)*(c*x^2+b*x+a)^p/(e*x+d)^2,x,6,-(-d*g+e*f)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(e*x+d)+2^(-1+2*p)*(e*(a*e*g+b*e*f*p-b*d*g*(p+1))-c*d*(2*e*f*p-d*(2*g*p+g)))*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e^2/(a*e^2-b*d*e+c*d^2)/p/((e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/((e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)+2^(-1-2*p)*(-d*g+e*f)*(1+2*p)*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/e/(a*e^2-b*d*e+c*d^2)/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(g*x+f)*(c*x^2+b*x+a)^p/(e*x+d)^3,x,7,-1/2*(-d*g+e*f)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-1/2*(e*(2*a*e*g-b*e*f*(1-p)-b*d*g*(p+1))+2*c*d*(d*g*p+e*(-f*p+f)))*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-4^(-1+p)*(2*c^2*d^2*(d*g*(1+2*p)+e*(-2*f*p+f))-b*e^2*(2*a*e*g-b*d*g*(p+1)-b*e*(-f*p+f))-2*c*e*(a*e*(-3*d*g+e*f)+b*d*(2*d*g*(p+1)+e*(-2*f*p+f))))*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e^2/(a*e^2-b*d*e+c*d^2)^2/((e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/((e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)+4^(-1-p)*(1+2*p)*(e*(2*a*e*g-b*e*f*(1-p)-b*d*g*(p+1))+2*c*d*(d*g*p+e*(-f*p+f)))*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/e/(a*e^2-b*d*e+c*d^2)^2/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(e*x+d)^m*(g*x+f)*(c*x^2+b*x+a)^p,x,5,(-d*g+e*f)*(e*x+d)^(1+m)*(c*x^2+b*x+a)^p*AppellF1(1+m,-p,-p,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/(1+m)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p)+g*(e*x+d)^(2+m)*(c*x^2+b*x+a)^p*AppellF1(2+m,-p,-p,3+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/(2+m)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(e*x+d)^(-5-2*p)*(g*x+f)*(c*x^2+b*x+a)^p,x,4,1/2*(2*c*d*(d*g-e*f*(3+p))+e*(b*d*g*(p+1)-2*a*e*g*(2+p)+b*e*f*(3+p)))*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^2/(2+p)/(3+2*p)-1/4*(b*e^2*(2+p)*(b*d*g*(p+1)-2*a*e*g*(2+p)+b*e*f*(3+p))-2*c^2*d^2*(d*g-e*f*(2*p^2+8*p+9))-2*c*e*(b*d*(d*g*(p^2+4*p+3)+e*f*(2*p^2+8*p+9))+a*e*(e*f*(3+2*p)-d*g*(2*p^2+10*p+11))))*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^3/(p+1)/(2+p)/(3+2*p)/((e*x+d)^(2*p+2))-1/2*(-d*g+e*f)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(2+p)/((e*x+d)^(4+2*p))+1/4*(4*c^3*d^3*f*(3+2*p)-b^2*e^2*(b*d*g*(p+1)-2*a*e*g*(2+p)+b*e*f*(3+p))-2*c^2*d*(b*d*(d*g+3*e*f)*(3+2*p)+2*a*e*(3*e*f-d*g*(5+2*p)))-2*c*e*(2*a^2*e^2*g-b^2*d*(2*d*g*(p+1)+3*e*f*(2+p))-a*b*e*(3*e*f-d*g*(7+4*p))))*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-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)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^3/(1+2*p)/(3+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-4-2*p)*(g*x+f)*(c*x^2+b*x+a)^p,x,3,-(-d*g+e*f)*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(3+2*p)+1/2*(c*d*(d*g-2*e*f*(2+p))+e*(b*d*g*(p+1)+b*e*f*(2+p)-a*e*g*(3+2*p)))*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^2/(p+1)/(3+2*p)/((e*x+d)^(2*p+2))+1/2*(2*c^2*d^2*f*(3+2*p)+b*e*(b*d*g*(p+1)+b*e*f*(2+p)-a*e*g*(3+2*p))-c*(b*d*(d*g+2*e*f)*(3+2*p)+2*a*e*(e*f-2*d*g*(2+p))))*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-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)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2/(1+2*p)/(3+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-3-2*p)*(g*x+f)*(c*x^2+b*x+a)^p,x,2,-1/2*(-d*g+e*f)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(p+1)/((e*x+d)^(2*p+2))+1/2*(2*a*e*g-b*d*g-b*e*f+2*c*d*f)*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-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)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-2-2*p)*(g*x+f)*(c*x^2+b*x+a)^p,x,4,-1/2*g*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/p/((e*x+d)^(2*p))/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p)+(-d*g+e*f)*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-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)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/e/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(1+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-1-2*p)*(g*x+f)*(c*x^2+b*x+a)^p,x,5,g*(e*x+d)^(1-2*p)*(c*x^2+b*x+a)^p*AppellF1(1-2*p,-p,-p,2-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/(1-2*p)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p)-1/2*(-d*g+e*f)*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/p/((e*x+d)^(2*p))/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(g*x+f)*(c*x^2+b*x+a)^p/((e*x+d)^(2*p)),x,5,(-d*g+e*f)*(e*x+d)^(1-2*p)*(c*x^2+b*x+a)^p*AppellF1(1-2*p,-p,-p,2-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/(1-2*p)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p)+1/2*g*(e*x+d)^(2-2*p)*(c*x^2+b*x+a)^p*AppellF1(2-2*p,-p,-p,3-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/(1-p)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(e*x+d)^(1-2*p)*(g*x+f)*(c*x^2+b*x+a)^p,x,5,1/2*(-d*g+e*f)*(e*x+d)^(2-2*p)*(c*x^2+b*x+a)^p*AppellF1(2-2*p,-p,-p,3-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/(1-p)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p)+g*(e*x+d)^(3-2*p)*(c*x^2+b*x+a)^p*AppellF1(3-2*p,-p,-p,4-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e^2/(3-2*p)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1]]: