lst:=[[(b*x+a)^3*(a*c+(a*d+b*c)*x+b*d*x^2),x,3,1/5*(-a*d+b*c)*(b*x+a)^5/b^2+1/6*d*(b*x+a)^6/b^2,1],
[(b*x+a)^2*(a*c+(a*d+b*c)*x+b*d*x^2),x,3,1/4*(-a*d+b*c)*(b*x+a)^4/b^2+1/5*d*(b*x+a)^5/b^2,1],
[(b*x+a)*(a*c+(a*d+b*c)*x+b*d*x^2),x,3,1/3*(-a*d+b*c)*(b*x+a)^3/b^2+1/4*d*(b*x+a)^4/b^2,1],
[a*c+(a*d+b*c)*x+b*d*x^2,x,1,a*c*x+1/2*(a*d+b*c)*x^2+1/3*b*d*x^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a),x,2,1/2*(d*x+c)^2/d,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^2,x,3,d*x/b+(-a*d+b*c)*ln(b*x+a)/b^2,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^3,x,3,-(-a*d+b*c)/b^2/(b*x+a)+d*ln(b*x+a)/b^2,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^4,x,2,-1/2*(d*x+c)^2/(-a*d+b*c)/(b*x+a)^2,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^5,x,3,-1/3*(-a*d+b*c)/b^2/(b*x+a)^3-1/2*d/b^2/(b*x+a)^2,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^6,x,3,-1/4*(-a*d+b*c)/b^2/(b*x+a)^4-1/3*d/b^2/(b*x+a)^3,1],
[(b*x+a)^3*(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,1/6*(-a*d+b*c)^2*(b*x+a)^6/b^3+2/7*d*(-a*d+b*c)*(b*x+a)^7/b^3+1/8*d^2*(b*x+a)^8/b^3,1],
[(b*x+a)^2*(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,1/5*(-a*d+b*c)^2*(b*x+a)^5/b^3+1/3*d*(-a*d+b*c)*(b*x+a)^6/b^3+1/7*d^2*(b*x+a)^7/b^3,1],
[(b*x+a)*(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,1/4*(-a*d+b*c)^2*(b*x+a)^4/b^3+2/5*d*(-a*d+b*c)*(b*x+a)^5/b^3+1/6*d^2*(b*x+a)^6/b^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,1/3*(-a*d+b*c)^2*(d*x+c)^3/d^3-1/2*b*(-a*d+b*c)*(d*x+c)^4/d^3+1/5*b^2*(d*x+c)^5/d^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a),x,3,-1/3*(-a*d+b*c)*(d*x+c)^3/d^2+1/4*b*(d*x+c)^4/d^2,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^2,x,2,1/3*(d*x+c)^3/d,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^3,x,3,d*(-a*d+2*b*c)*x/b^2+1/2*d^2*x^2/b+(-a*d+b*c)^2*ln(b*x+a)/b^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^4,x,3,d^2*x/b^2-(-a*d+b*c)^2/b^3/(b*x+a)+2*d*(-a*d+b*c)*ln(b*x+a)/b^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^5,x,3,-1/2*(-a*d+b*c)^2/b^3/(b*x+a)^2-2*d*(-a*d+b*c)/b^3/(b*x+a)+d^2*ln(b*x+a)/b^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^6,x,2,-1/3*(d*x+c)^3/(-a*d+b*c)/(b*x+a)^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^7,x,3,-1/4*(-a*d+b*c)^2/b^3/(b*x+a)^4-2/3*d*(-a*d+b*c)/b^3/(b*x+a)^3-1/2*d^2/b^3/(b*x+a)^2,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^8,x,3,-1/5*(-a*d+b*c)^2/b^3/(b*x+a)^5-1/2*d*(-a*d+b*c)/b^3/(b*x+a)^4-1/3*d^2/b^3/(b*x+a)^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^9,x,3,-1/6*(-a*d+b*c)^2/b^3/(b*x+a)^6-2/5*d*(-a*d+b*c)/b^3/(b*x+a)^5-1/4*d^2/b^3/(b*x+a)^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^10,x,3,-1/7*(-a*d+b*c)^2/b^3/(b*x+a)^7-1/3*d*(-a*d+b*c)/b^3/(b*x+a)^6-1/5*d^2/b^3/(b*x+a)^5,1],
[(b*x+a)^3*(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,1/7*(-a*d+b*c)^3*(b*x+a)^7/b^4+3/8*d*(-a*d+b*c)^2*(b*x+a)^8/b^4+1/3*d^2*(-a*d+b*c)*(b*x+a)^9/b^4+1/10*d^3*(b*x+a)^10/b^4,1],
[(b*x+a)^2*(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,1/6*(-a*d+b*c)^3*(b*x+a)^6/b^4+3/7*d*(-a*d+b*c)^2*(b*x+a)^7/b^4+3/8*d^2*(-a*d+b*c)*(b*x+a)^8/b^4+1/9*d^3*(b*x+a)^9/b^4,1],
[(b*x+a)*(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,1/5*(-a*d+b*c)^3*(b*x+a)^5/b^4+1/2*d*(-a*d+b*c)^2*(b*x+a)^6/b^4+3/7*d^2*(-a*d+b*c)*(b*x+a)^7/b^4+1/8*d^3*(b*x+a)^8/b^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/4*(-a*d+b*c)^3*(d*x+c)^4/d^4+3/5*b*(-a*d+b*c)^2*(d*x+c)^5/d^4-1/2*b^2*(-a*d+b*c)*(d*x+c)^6/d^4+1/7*b^3*(d*x+c)^7/d^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a),x,3,1/4*(-a*d+b*c)^2*(d*x+c)^4/d^3-2/5*b*(-a*d+b*c)*(d*x+c)^5/d^3+1/6*b^2*(d*x+c)^6/d^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^2,x,3,-1/4*(-a*d+b*c)*(d*x+c)^4/d^2+1/5*b*(d*x+c)^5/d^2,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^3,x,2,1/4*(d*x+c)^4/d,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^4,x,3,d*(-a*d+b*c)^2*x/b^3+1/2*(-a*d+b*c)*(d*x+c)^2/b^2+1/3*(d*x+c)^3/b+(-a*d+b*c)^3*ln(b*x+a)/b^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^5,x,3,d^2*(-2*a*d+3*b*c)*x/b^3+1/2*d^3*x^2/b^2-(-a*d+b*c)^3/b^4/(b*x+a)+3*d*(-a*d+b*c)^2*ln(b*x+a)/b^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^6,x,3,d^3*x/b^3-1/2*(-a*d+b*c)^3/b^4/(b*x+a)^2-3*d*(-a*d+b*c)^2/b^4/(b*x+a)+3*d^2*(-a*d+b*c)*ln(b*x+a)/b^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^7,x,3,-1/3*(-a*d+b*c)^3/b^4/(b*x+a)^3-3/2*d*(-a*d+b*c)^2/b^4/(b*x+a)^2-3*d^2*(-a*d+b*c)/b^4/(b*x+a)+d^3*ln(b*x+a)/b^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^8,x,2,-1/4*(d*x+c)^4/(-a*d+b*c)/(b*x+a)^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^9,x,3,-1/5*(d*x+c)^4/(-a*d+b*c)/(b*x+a)^5+1/20*d*(d*x+c)^4/(-a*d+b*c)^2/(b*x+a)^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^10,x,3,-1/6*(-a*d+b*c)^3/b^4/(b*x+a)^6-3/5*d*(-a*d+b*c)^2/b^4/(b*x+a)^5-3/4*d^2*(-a*d+b*c)/b^4/(b*x+a)^4-1/3*d^3/b^4/(b*x+a)^3,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^11,x,3,-1/7*(-a*d+b*c)^3/b^4/(b*x+a)^7-1/2*d*(-a*d+b*c)^2/b^4/(b*x+a)^6-3/5*d^2*(-a*d+b*c)/b^4/(b*x+a)^5-1/4*d^3/b^4/(b*x+a)^4,1],
[(a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^12,x,3,-1/8*(-a*d+b*c)^3/b^4/(b*x+a)^8-3/7*d*(-a*d+b*c)^2/b^4/(b*x+a)^7-1/2*d^2*(-a*d+b*c)/b^4/(b*x+a)^6-1/5*d^3/b^4/(b*x+a)^5,1],
[(b*x+a)^6/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,b*(-a*d+b*c)^4*x/d^5-1/2*(-a*d+b*c)^3*(b*x+a)^2/d^4+1/3*(-a*d+b*c)^2*(b*x+a)^3/d^3-1/4*(-a*d+b*c)*(b*x+a)^4/d^2+1/5*(b*x+a)^5/d-(-a*d+b*c)^5*ln(d*x+c)/d^6,1],
[(b*x+a)^5/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,-b*(-a*d+b*c)^3*x/d^4+1/2*(-a*d+b*c)^2*(b*x+a)^2/d^3-1/3*(-a*d+b*c)*(b*x+a)^3/d^2+1/4*(b*x+a)^4/d+(-a*d+b*c)^4*ln(d*x+c)/d^5,1],
[(b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,b*(-a*d+b*c)^2*x/d^3-1/2*(-a*d+b*c)*(b*x+a)^2/d^2+1/3*(b*x+a)^3/d-(-a*d+b*c)^3*ln(d*x+c)/d^4,1],
[(b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,-b*(-2*a*d+b*c)*x/d^2+1/2*b^2*x^2/d+(-a*d+b*c)^2*ln(d*x+c)/d^3,1],
[(b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,b*x/d-(-a*d+b*c)*ln(d*x+c)/d^2,1],
[(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,ln(d*x+c)/d,1],
[1/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,ln(b*x+a)/(-a*d+b*c)-ln(d*x+c)/(-a*d+b*c),1],
[1/(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,-1/(-a*d+b*c)/(b*x+a)-d*ln(b*x+a)/(-a*d+b*c)^2+d*ln(d*x+c)/(-a*d+b*c)^2,1],
[1/(b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,-1/2/(-a*d+b*c)/(b*x+a)^2+d/(-a*d+b*c)^2/(b*x+a)+d^2*ln(b*x+a)/(-a*d+b*c)^3-d^2*ln(d*x+c)/(-a*d+b*c)^3,1],
[1/(b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,-1/3/(-a*d+b*c)/(b*x+a)^3+1/2*d/(-a*d+b*c)^2/(b*x+a)^2-d^2/(-a*d+b*c)^3/(b*x+a)-d^3*ln(b*x+a)/(-a*d+b*c)^4+d^3*ln(d*x+c)/(-a*d+b*c)^4,1],
[1/(b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2),x,3,-1/4/(-a*d+b*c)/(b*x+a)^4+1/3*d/(-a*d+b*c)^2/(b*x+a)^3-1/2*d^2/(-a*d+b*c)^3/(b*x+a)^2+d^3/(-a*d+b*c)^4/(b*x+a)+d^4*ln(b*x+a)/(-a*d+b*c)^5-d^4*ln(d*x+c)/(-a*d+b*c)^5,1],
[(b*x+a)^6/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,6*b^2*(-a*d+b*c)^2*x/d^4-(-a*d+b*c)^4/d^5/(d*x+c)-2*b^3*(-a*d+b*c)*(d*x+c)^2/d^5+1/3*b^4*(d*x+c)^3/d^5-4*b*(-a*d+b*c)^3*ln(d*x+c)/d^5,1],
[(b*x+a)^5/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,-b^2*(-3*a*d+2*b*c)*x/d^3+1/2*b^3*x^2/d^2+(-a*d+b*c)^3/d^4/(d*x+c)+3*b*(-a*d+b*c)^2*ln(d*x+c)/d^4,1],
[(b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,b^2*x/d^2-(-a*d+b*c)^2/d^3/(d*x+c)-2*b*(-a*d+b*c)*ln(d*x+c)/d^3,1],
[(b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,(-a*d+b*c)/d^2/(d*x+c)+b*ln(d*x+c)/d^2,1],
[(b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-1/d/(d*x+c),1],
[(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,1/(-a*d+b*c)/(d*x+c)+b*ln(b*x+a)/(-a*d+b*c)^2-b*ln(d*x+c)/(-a*d+b*c)^2,1],
[1/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-b/(-a*d+b*c)^2/(b*x+a)-d/(-a*d+b*c)^2/(d*x+c)-2*b*d*ln(b*x+a)/(-a*d+b*c)^3+2*b*d*ln(d*x+c)/(-a*d+b*c)^3,1],
[1/(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,3,-1/2*b/(-a*d+b*c)^2/(b*x+a)^2+2*b*d/(-a*d+b*c)^3/(b*x+a)+d^2/(-a*d+b*c)^3/(d*x+c)+3*b*d^2*ln(b*x+a)/(-a*d+b*c)^4-3*b*d^2*ln(d*x+c)/(-a*d+b*c)^4,1],
[(b*x+a)^8/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,10*b^3*(-a*d+b*c)^2*x/d^5+1/2*(-a*d+b*c)^5/d^6/(d*x+c)^2-5*b*(-a*d+b*c)^4/d^6/(d*x+c)-5/2*b^4*(-a*d+b*c)*(d*x+c)^2/d^6+1/3*b^5*(d*x+c)^3/d^6-10*b^2*(-a*d+b*c)^3*ln(d*x+c)/d^6,1],
[(b*x+a)^7/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,-b^3*(-4*a*d+3*b*c)*x/d^4+1/2*b^4*x^2/d^3-1/2*(-a*d+b*c)^4/d^5/(d*x+c)^2+4*b*(-a*d+b*c)^3/d^5/(d*x+c)+6*b^2*(-a*d+b*c)^2*ln(d*x+c)/d^5,1],
[(b*x+a)^6/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,b^3*x/d^3+1/2*(-a*d+b*c)^3/d^4/(d*x+c)^2-3*b*(-a*d+b*c)^2/d^4/(d*x+c)-3*b^2*(-a*d+b*c)*ln(d*x+c)/d^4,1],
[(b*x+a)^5/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,-1/2*(-a*d+b*c)^2/d^3/(d*x+c)^2+2*b*(-a*d+b*c)/d^3/(d*x+c)+b^2*ln(d*x+c)/d^3,1],
[(b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,1/2*(b*x+a)^2/(-a*d+b*c)/(d*x+c)^2,1],
[(b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2/d/(d*x+c)^2,1],
[(b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,1/2/(-a*d+b*c)/(d*x+c)^2+b/(-a*d+b*c)^2/(d*x+c)+b^2*ln(b*x+a)/(-a*d+b*c)^3-b^2*ln(d*x+c)/(-a*d+b*c)^3,1],
[(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,-b^2/(-a*d+b*c)^3/(b*x+a)-1/2*d/(-a*d+b*c)^2/(d*x+c)^2-2*b*d/(-a*d+b*c)^3/(d*x+c)-3*b^2*d*ln(b*x+a)/(-a*d+b*c)^4+3*b^2*d*ln(d*x+c)/(-a*d+b*c)^4,1],
[1/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*b^2/(-a*d+b*c)^3/(b*x+a)^2+3*b^2*d/(-a*d+b*c)^4/(b*x+a)+1/2*d^2/(-a*d+b*c)^3/(d*x+c)^2+3*b*d^2/(-a*d+b*c)^4/(d*x+c)+6*b^2*d^2*ln(b*x+a)/(-a*d+b*c)^5-6*b^2*d^2*ln(d*x+c)/(-a*d+b*c)^5,1],
[1/(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,3,-1/3*b^2/(-a*d+b*c)^3/(b*x+a)^3+3/2*b^2*d/(-a*d+b*c)^4/(b*x+a)^2-6*b^2*d^2/(-a*d+b*c)^5/(b*x+a)-1/2*d^3/(-a*d+b*c)^4/(d*x+c)^2-4*b*d^3/(-a*d+b*c)^5/(d*x+c)-10*b^2*d^3*ln(b*x+a)/(-a*d+b*c)^6+10*b^2*d^3*ln(d*x+c)/(-a*d+b*c)^6,1],
[(e*x+d)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/6*(a-c*d^2/e^2)*(e*x+d)^6+1/7*c*d*(e*x+d)^7/e^2,1],
[(e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/5*(a-c*d^2/e^2)*(e*x+d)^5+1/6*c*d*(e*x+d)^6/e^2,1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/4*(a-c*d^2/e^2)*(e*x+d)^4+1/5*c*d*(e*x+d)^5/e^2,1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/3*(a-c*d^2/e^2)*(e*x+d)^3+1/4*c*d*(e*x+d)^4/e^2,1],
[a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2,x,1,a*d*e*x+1/2*(a*e^2+c*d^2)*x^2+1/3*c*d*e*x^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d),x,2,1/2*(c*d*x+a*e)^2/c/d,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^2,x,3,c*d*x/e+(a-c*d^2/e^2)*ln(e*x+d),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^3,x,3,-(a-c*d^2/e^2)/(e*x+d)+c*d*ln(e*x+d)/e^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^4,x,2,1/2*(c*d*x+a*e)^2/(-a*e^2+c*d^2)/(e*x+d)^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^5,x,3,-1/3*(a-c*d^2/e^2)/(e*x+d)^3-1/2*c*d/e^2/(e*x+d)^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^6,x,3,-1/4*(a-c*d^2/e^2)/(e*x+d)^4-1/3*c*d/e^2/(e*x+d)^3,1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,1/5*(-a*e^2+c*d^2)^2*(e*x+d)^5/e^3-1/3*c*d*(-a*e^2+c*d^2)*(e*x+d)^6/e^3+1/7*c^2*d^2*(e*x+d)^7/e^3,1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,1/4*(-a*e^2+c*d^2)^2*(e*x+d)^4/e^3-2/5*c*d*(-a*e^2+c*d^2)*(e*x+d)^5/e^3+1/6*c^2*d^2*(e*x+d)^6/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,2,1/3*(-a*e^2+c*d^2)^2*(e*x+d)^3/e^3-1/2*c*d*(-a*e^2+c*d^2)*(e*x+d)^4/e^3+1/5*c^2*d^2*(e*x+d)^5/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d),x,3,1/3*(-a*e^2+c*d^2)*(c*d*x+a*e)^3/c^2/d^2+1/4*e*(c*d*x+a*e)^4/c^2/d^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^2,x,2,1/3*(c*d*x+a*e)^3/c/d,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^3,x,3,-c*d*(-2*a*e^2+c*d^2)*x/e^2+1/2*c^2*d^2*x^2/e+(-a*e^2+c*d^2)^2*ln(e*x+d)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^4,x,3,c^2*d^2*x/e^2-(-a*e^2+c*d^2)^2/e^3/(e*x+d)-2*c*d*(-a*e^2+c*d^2)*ln(e*x+d)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^5,x,3,-1/2*(-a*e^2+c*d^2)^2/e^3/(e*x+d)^2+2*c*d*(-a*e^2+c*d^2)/e^3/(e*x+d)+c^2*d^2*ln(e*x+d)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^6,x,2,1/3*(c*d*x+a*e)^3/(-a*e^2+c*d^2)/(e*x+d)^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^7,x,3,-1/4*(-a*e^2+c*d^2)^2/e^3/(e*x+d)^4+2/3*c*d*(-a*e^2+c*d^2)/e^3/(e*x+d)^3-1/2*c^2*d^2/e^3/(e*x+d)^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^8,x,3,-1/5*(-a*e^2+c*d^2)^2/e^3/(e*x+d)^5+1/2*c*d*(-a*e^2+c*d^2)/e^3/(e*x+d)^4-1/3*c^2*d^2/e^3/(e*x+d)^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^9,x,3,-1/6*(-a*e^2+c*d^2)^2/e^3/(e*x+d)^6+2/5*c*d*(-a*e^2+c*d^2)/e^3/(e*x+d)^5-1/4*c^2*d^2/e^3/(e*x+d)^4,1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-1/6*(-a*e^2+c*d^2)^3*(e*x+d)^6/e^4+3/7*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^7/e^4-3/8*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^8/e^4+1/9*c^3*d^3*(e*x+d)^9/e^4,1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-1/5*(-a*e^2+c*d^2)^3*(e*x+d)^5/e^4+1/2*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^6/e^4-3/7*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^7/e^4+1/8*c^3*d^3*(e*x+d)^8/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,2,-1/4*(-a*e^2+c*d^2)^3*(e*x+d)^4/e^4+3/5*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^5/e^4-1/2*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^6/e^4+1/7*c^3*d^3*(e*x+d)^7/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d),x,3,1/4*(-a*e^2+c*d^2)^2*(c*d*x+a*e)^4/c^3/d^3+2/5*e*(-a*e^2+c*d^2)*(c*d*x+a*e)^5/c^3/d^3+1/6*e^2*(c*d*x+a*e)^6/c^3/d^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^2,x,3,1/4*(-a*e^2+c*d^2)*(c*d*x+a*e)^4/c^2/d^2+1/5*e*(c*d*x+a*e)^5/c^2/d^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^3,x,2,1/4*(c*d*x+a*e)^4/c/d,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^4,x,3,c*d*(-a*e^2+c*d^2)^2*x/e^3+1/2*(a-c*d^2/e^2)*(c*d*x+a*e)^2+1/3*(c*d*x+a*e)^3/e-(-a*e^2+c*d^2)^3*ln(e*x+d)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^5,x,3,-c^2*d^2*(-3*a*e^2+2*c*d^2)*x/e^3+1/2*c^3*d^3*x^2/e^2+(-a*e^2+c*d^2)^3/e^4/(e*x+d)+3*c*d*(-a*e^2+c*d^2)^2*ln(e*x+d)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^6,x,3,c^3*d^3*x/e^3+1/2*(-a*e^2+c*d^2)^3/e^4/(e*x+d)^2-3*c*d*(-a*e^2+c*d^2)^2/e^4/(e*x+d)-3*c^2*d^2*(-a*e^2+c*d^2)*ln(e*x+d)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^7,x,3,1/3*(-a*e^2+c*d^2)^3/e^4/(e*x+d)^3-3/2*c*d*(-a*e^2+c*d^2)^2/e^4/(e*x+d)^2+3*c^2*d^2*(-a*e^2+c*d^2)/e^4/(e*x+d)+c^3*d^3*ln(e*x+d)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^8,x,2,1/4*(c*d*x+a*e)^4/(-a*e^2+c*d^2)/(e*x+d)^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^9,x,3,1/5*(c*d*x+a*e)^4/(-a*e^2+c*d^2)/(e*x+d)^5+1/20*c*d*(c*d*x+a*e)^4/(-a*e^2+c*d^2)^2/(e*x+d)^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^10,x,3,1/6*(-a*e^2+c*d^2)^3/e^4/(e*x+d)^6-3/5*c*d*(-a*e^2+c*d^2)^2/e^4/(e*x+d)^5+3/4*c^2*d^2*(-a*e^2+c*d^2)/e^4/(e*x+d)^4-1/3*c^3*d^3/e^4/(e*x+d)^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^11,x,3,1/7*(-a*e^2+c*d^2)^3/e^4/(e*x+d)^7-1/2*c*d*(-a*e^2+c*d^2)^2/e^4/(e*x+d)^6+3/5*c^2*d^2*(-a*e^2+c*d^2)/e^4/(e*x+d)^5-1/4*c^3*d^3/e^4/(e*x+d)^4,1],
[(e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,e*(-a*e^2+c*d^2)^3*x/c^4/d^4+1/2*(-a*e^2+c*d^2)^2*(e*x+d)^2/c^3/d^3+1/3*(-a*e^2+c*d^2)*(e*x+d)^3/c^2/d^2+1/4*(e*x+d)^4/c/d+(-a*e^2+c*d^2)^4*ln(c*d*x+a*e)/c^5/d^5,1],
[(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,e*(-a*e^2+c*d^2)^2*x/c^3/d^3+1/2*(-a*e^2+c*d^2)*(e*x+d)^2/c^2/d^2+1/3*(e*x+d)^3/c/d+(-a*e^2+c*d^2)^3*ln(c*d*x+a*e)/c^4/d^4,1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,e*(-a*e^2+2*c*d^2)*x/c^2/d^2+1/2*e^2*x^2/c/d+(-a*e^2+c*d^2)^2*ln(c*d*x+a*e)/c^3/d^3,1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,e*x/c/d+(-a*e^2+c*d^2)*ln(c*d*x+a*e)/c^2/d^2,1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,2,ln(c*d*x+a*e)/c/d,1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,2,ln(c*d*x+a*e)/(-a*e^2+c*d^2)-ln(e*x+d)/(-a*e^2+c*d^2),1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/(-a*e^2+c*d^2)/(e*x+d)+c*d*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^2-c*d*ln(e*x+d)/(-a*e^2+c*d^2)^2,1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/2/(-a*e^2+c*d^2)/(e*x+d)^2+c*d/(-a*e^2+c*d^2)^2/(e*x+d)+c^2*d^2*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^3-c^2*d^2*ln(e*x+d)/(-a*e^2+c*d^2)^3,1],
[1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/3/(-a*e^2+c*d^2)/(e*x+d)^3+1/2*c*d/(-a*e^2+c*d^2)^2/(e*x+d)^2+c^2*d^2/(-a*e^2+c*d^2)^3/(e*x+d)+c^3*d^3*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^4-c^3*d^3*ln(e*x+d)/(-a*e^2+c*d^2)^4,1],
[(e*x+d)^8/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,15*e^2*(-a*e^2+c*d^2)^4*x/c^6/d^6-(-a*e^2+c*d^2)^6/c^7/d^7/(c*d*x+a*e)+10*e^3*(-a*e^2+c*d^2)^3*(c*d*x+a*e)^2/c^7/d^7+5*e^4*(-a*e^2+c*d^2)^2*(c*d*x+a*e)^3/c^7/d^7+3/2*e^5*(-a*e^2+c*d^2)*(c*d*x+a*e)^4/c^7/d^7+1/5*e^6*(c*d*x+a*e)^5/c^7/d^7+6*e*(-a*e^2+c*d^2)^5*ln(c*d*x+a*e)/c^7/d^7,1],
[(e*x+d)^7/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,10*e^2*(-a*e^2+c*d^2)^3*x/c^5/d^5-(-a*e^2+c*d^2)^5/c^6/d^6/(c*d*x+a*e)+5*e^3*(-a*e^2+c*d^2)^2*(c*d*x+a*e)^2/c^6/d^6+5/3*e^4*(-a*e^2+c*d^2)*(c*d*x+a*e)^3/c^6/d^6+1/4*e^5*(c*d*x+a*e)^4/c^6/d^6+5*e*(-a*e^2+c*d^2)^4*ln(c*d*x+a*e)/c^6/d^6,1],
[(e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,e^2*(3*a^2*e^4-8*a*c*d^2*e^2+6*c^2*d^4)*x/c^4/d^4+e^3*(-a*e^2+2*c*d^2)*x^2/c^3/d^3+1/3*e^4*x^3/c^2/d^2-(-a*e^2+c*d^2)^4/c^5/d^5/(c*d*x+a*e)+4*e*(-a*e^2+c*d^2)^3*ln(c*d*x+a*e)/c^5/d^5,1],
[(e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,e^2*(-2*a*e^2+3*c*d^2)*x/c^3/d^3+1/2*e^3*x^2/c^2/d^2-(-a*e^2+c*d^2)^3/c^4/d^4/(c*d*x+a*e)+3*e*(-a*e^2+c*d^2)^2*ln(c*d*x+a*e)/c^4/d^4,1],
[(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,e^2*x/c^2/d^2-(-a*e^2+c*d^2)^2/c^3/d^3/(c*d*x+a*e)+2*e*(-a*e^2+c*d^2)*ln(c*d*x+a*e)/c^3/d^3,1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,-(-a*e^2+c*d^2)/c^2/d^2/(c*d*x+a*e)+e*ln(c*d*x+a*e)/c^2/d^2,1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,2,-1/c/d/(c*d*x+a*e),1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,-1/(-a*e^2+c*d^2)/(c*d*x+a*e)-e*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^2+e*ln(e*x+d)/(-a*e^2+c*d^2)^2,1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,2,-c*d/(-a*e^2+c*d^2)^2/(c*d*x+a*e)-e/(-a*e^2+c*d^2)^2/(e*x+d)-2*c*d*e*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^3+2*c*d*e*ln(e*x+d)/(-a*e^2+c*d^2)^3,1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,-c^2*d^2/(-a*e^2+c*d^2)^3/(c*d*x+a*e)-1/2*e/(-a*e^2+c*d^2)^2/(e*x+d)^2-2*c*d*e/(-a*e^2+c*d^2)^3/(e*x+d)-3*c^2*d^2*e*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^4+3*c^2*d^2*e*ln(e*x+d)/(-a*e^2+c*d^2)^4,1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,-c^3*d^3/(-a*e^2+c*d^2)^4/(c*d*x+a*e)-1/3*e/(-a*e^2+c*d^2)^2/(e*x+d)^3-c*d*e/(-a*e^2+c*d^2)^3/(e*x+d)^2-3*c^2*d^2*e/(-a*e^2+c*d^2)^4/(e*x+d)-4*c^3*d^3*e*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^5+4*c^3*d^3*e*ln(e*x+d)/(-a*e^2+c*d^2)^5,1],
[(e*x+d)^9/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,20*e^3*(-a*e^2+c*d^2)^3*x/c^6/d^6-1/2*(-a*e^2+c*d^2)^6/c^7/d^7/(c*d*x+a*e)^2-6*e*(-a*e^2+c*d^2)^5/c^7/d^7/(c*d*x+a*e)+15/2*e^4*(-a*e^2+c*d^2)^2*(c*d*x+a*e)^2/c^7/d^7+2*e^5*(-a*e^2+c*d^2)*(c*d*x+a*e)^3/c^7/d^7+1/4*e^6*(c*d*x+a*e)^4/c^7/d^7+15*e^2*(-a*e^2+c*d^2)^4*ln(c*d*x+a*e)/c^7/d^7,1],
[(e*x+d)^8/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,e^3*(6*a^2*e^4-15*a*c*d^2*e^2+10*c^2*d^4)*x/c^5/d^5+1/2*e^4*(-3*a*e^2+5*c*d^2)*x^2/c^4/d^4+1/3*e^5*x^3/c^3/d^3-1/2*(-a*e^2+c*d^2)^5/c^6/d^6/(c*d*x+a*e)^2-5*e*(-a*e^2+c*d^2)^4/c^6/d^6/(c*d*x+a*e)+10*e^2*(-a*e^2+c*d^2)^3*ln(c*d*x+a*e)/c^6/d^6,1],
[(e*x+d)^7/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,e^3*(-3*a*e^2+4*c*d^2)*x/c^4/d^4+1/2*e^4*x^2/c^3/d^3-1/2*(-a*e^2+c*d^2)^4/c^5/d^5/(c*d*x+a*e)^2-4*e*(-a*e^2+c*d^2)^3/c^5/d^5/(c*d*x+a*e)+6*e^2*(-a*e^2+c*d^2)^2*ln(c*d*x+a*e)/c^5/d^5,1],
[(e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,e^3*x/c^3/d^3-1/2*(-a*e^2+c*d^2)^3/c^4/d^4/(c*d*x+a*e)^2-3*e*(-a*e^2+c*d^2)^2/c^4/d^4/(c*d*x+a*e)+3*e^2*(-a*e^2+c*d^2)*ln(c*d*x+a*e)/c^4/d^4,1],
[(e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-1/2*(-a*e^2+c*d^2)^2/c^3/d^3/(c*d*x+a*e)^2-2*e*(-a*e^2+c*d^2)/c^3/d^3/(c*d*x+a*e)+e^2*ln(c*d*x+a*e)/c^3/d^3,1],
[(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,2,-1/2*(e*x+d)^2/(-a*e^2+c*d^2)/(c*d*x+a*e)^2,1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,2,-1/2/c/d/(c*d*x+a*e)^2,1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-1/2/(-a*e^2+c*d^2)/(c*d*x+a*e)^2+e/(-a*e^2+c*d^2)^2/(c*d*x+a*e)+e^2*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^3-e^2*ln(e*x+d)/(-a*e^2+c*d^2)^3,1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-1/2*c*d/(-a*e^2+c*d^2)^2/(c*d*x+a*e)^2+2*c*d*e/(-a*e^2+c*d^2)^3/(c*d*x+a*e)+e^2/(-a*e^2+c*d^2)^3/(e*x+d)+3*c*d*e^2*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^4-3*c*d*e^2*ln(e*x+d)/(-a*e^2+c*d^2)^4,1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,2,-1/2*c^2*d^2/(-a*e^2+c*d^2)^3/(c*d*x+a*e)^2+3*c^2*d^2*e/(-a*e^2+c*d^2)^4/(c*d*x+a*e)+1/2*e^2/(-a*e^2+c*d^2)^3/(e*x+d)^2+3*c*d*e^2/(-a*e^2+c*d^2)^4/(e*x+d)+6*c^2*d^2*e^2*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^5-6*c^2*d^2*e^2*ln(e*x+d)/(-a*e^2+c*d^2)^5,1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-1/2*c^3*d^3/(-a*e^2+c*d^2)^4/(c*d*x+a*e)^2+4*c^3*d^3*e/(-a*e^2+c*d^2)^5/(c*d*x+a*e)+1/3*e^2/(-a*e^2+c*d^2)^3/(e*x+d)^3+3/2*c*d*e^2/(-a*e^2+c*d^2)^4/(e*x+d)^2+6*c^2*d^2*e^2/(-a*e^2+c*d^2)^5/(e*x+d)+10*c^3*d^3*e^2*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^6-10*c^3*d^3*e^2*ln(e*x+d)/(-a*e^2+c*d^2)^6,1],
[(e*x+d)^10/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,e^4*(10*a^2*e^4-24*a*c*d^2*e^2+15*c^2*d^4)*x/c^6/d^6+e^5*(-2*a*e^2+3*c*d^2)*x^2/c^5/d^5+1/3*e^6*x^3/c^4/d^4-1/3*(-a*e^2+c*d^2)^6/c^7/d^7/(c*d*x+a*e)^3-3*e*(-a*e^2+c*d^2)^5/c^7/d^7/(c*d*x+a*e)^2-15*e^2*(-a*e^2+c*d^2)^4/c^7/d^7/(c*d*x+a*e)+20*e^3*(-a*e^2+c*d^2)^3*ln(c*d*x+a*e)/c^7/d^7,1],
[(e*x+d)^9/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,e^4*(-4*a*e^2+5*c*d^2)*x/c^5/d^5+1/2*e^5*x^2/c^4/d^4-1/3*(-a*e^2+c*d^2)^5/c^6/d^6/(c*d*x+a*e)^3-5/2*e*(-a*e^2+c*d^2)^4/c^6/d^6/(c*d*x+a*e)^2-10*e^2*(-a*e^2+c*d^2)^3/c^6/d^6/(c*d*x+a*e)+10*e^3*(-a*e^2+c*d^2)^2*ln(c*d*x+a*e)/c^6/d^6,1],
[(e*x+d)^8/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,e^4*x/c^4/d^4-1/3*(-a*e^2+c*d^2)^4/c^5/d^5/(c*d*x+a*e)^3-2*e*(-a*e^2+c*d^2)^3/c^5/d^5/(c*d*x+a*e)^2-6*e^2*(-a*e^2+c*d^2)^2/c^5/d^5/(c*d*x+a*e)+4*e^3*(-a*e^2+c*d^2)*ln(c*d*x+a*e)/c^5/d^5,1],
[(e*x+d)^7/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,-1/3*(-a*e^2+c*d^2)^3/c^4/d^4/(c*d*x+a*e)^3-3/2*e*(-a*e^2+c*d^2)^2/c^4/d^4/(c*d*x+a*e)^2-3*e^2*(-a*e^2+c*d^2)/c^4/d^4/(c*d*x+a*e)+e^3*ln(c*d*x+a*e)/c^4/d^4,1],
[(e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,2,-1/3*(e*x+d)^3/(-a*e^2+c*d^2)/(c*d*x+a*e)^3,1],
[(e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,-1/3*(-a*e^2+c*d^2)/c^2/d^2/(c*d*x+a*e)^3-1/2*e/c^2/d^2/(c*d*x+a*e)^2,1],
[(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,2,-1/3/c/d/(c*d*x+a*e)^3,1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,-1/3/(-a*e^2+c*d^2)/(c*d*x+a*e)^3+1/2*e/(-a*e^2+c*d^2)^2/(c*d*x+a*e)^2-e^2/(-a*e^2+c*d^2)^3/(c*d*x+a*e)-e^3*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^4+e^3*ln(e*x+d)/(-a*e^2+c*d^2)^4,1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,-1/3*c*d/(-a*e^2+c*d^2)^2/(c*d*x+a*e)^3+c*d*e/(-a*e^2+c*d^2)^3/(c*d*x+a*e)^2-3*c*d*e^2/(-a*e^2+c*d^2)^4/(c*d*x+a*e)-e^3/(-a*e^2+c*d^2)^4/(e*x+d)-4*c*d*e^3*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^5+4*c*d*e^3*ln(e*x+d)/(-a*e^2+c*d^2)^5,1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,3,-1/3*c^2*d^2/(-a*e^2+c*d^2)^3/(c*d*x+a*e)^3+3/2*c^2*d^2*e/(-a*e^2+c*d^2)^4/(c*d*x+a*e)^2-6*c^2*d^2*e^2/(-a*e^2+c*d^2)^5/(c*d*x+a*e)-1/2*e^3/(-a*e^2+c*d^2)^4/(e*x+d)^2-4*c*d*e^3/(-a*e^2+c*d^2)^5/(e*x+d)-10*c^2*d^2*e^3*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^6+10*c^2*d^2*e^3*ln(e*x+d)/(-a*e^2+c*d^2)^6,1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,2,-1/3*c^3*d^3/(-a*e^2+c*d^2)^4/(c*d*x+a*e)^3+2*c^3*d^3*e/(-a*e^2+c*d^2)^5/(c*d*x+a*e)^2-10*c^3*d^3*e^2/(-a*e^2+c*d^2)^6/(c*d*x+a*e)-1/3*e^3/(-a*e^2+c*d^2)^4/(e*x+d)^3-2*c*d*e^3/(-a*e^2+c*d^2)^5/(e*x+d)^2-10*c^2*d^2*e^3/(-a*e^2+c*d^2)^6/(e*x+d)-20*c^3*d^3*e^3*ln(c*d*x+a*e)/(-a*e^2+c*d^2)^7+20*c^3*d^3*e^3*ln(e*x+d)/(-a*e^2+c*d^2)^7,1],
[(e*x+d)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2/7*(a-c*d^2/e^2)*(e*x+d)^(7/2)+2/9*c*d*(e*x+d)^(9/2)/e^2,1],
[sqrt(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2/5*(a-c*d^2/e^2)*(e*x+d)^(5/2)+2/7*c*d*(e*x+d)^(7/2)/e^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(e*x+d),x,3,2/3*(a-c*d^2/e^2)*(e*x+d)^(3/2)+2/5*c*d*(e*x+d)^(5/2)/e^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(3/2),x,3,2*(a-c*d^2/e^2)*sqrt(e*x+d)+2/3*c*d*(e*x+d)^(3/2)/e^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(5/2),x,3,(-2*a+2*c*d^2/e^2)/sqrt(e*x+d)+2*c*d*sqrt(e*x+d)/e^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(7/2),x,3,1/3*(-2*a+2*c*d^2/e^2)/(e*x+d)^(3/2)-2*c*d/e^2/sqrt(e*x+d),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(9/2),x,3,1/5*(-2*a+2*c*d^2/e^2)/(e*x+d)^(5/2)-2/3*c*d/e^2/(e*x+d)^(3/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(11/2),x,3,1/7*(-2*a+2*c*d^2/e^2)/(e*x+d)^(7/2)-2/5*c*d/e^2/(e*x+d)^(5/2),1],
[sqrt(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,2/7*(-a*e^2+c*d^2)^2*(e*x+d)^(7/2)/e^3-4/9*c*d*(-a*e^2+c*d^2)*(e*x+d)^(9/2)/e^3+2/11*c^2*d^2*(e*x+d)^(11/2)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/sqrt(e*x+d),x,3,2/5*(-a*e^2+c*d^2)^2*(e*x+d)^(5/2)/e^3-4/7*c*d*(-a*e^2+c*d^2)*(e*x+d)^(7/2)/e^3+2/9*c^2*d^2*(e*x+d)^(9/2)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(3/2),x,3,2/3*(-a*e^2+c*d^2)^2*(e*x+d)^(3/2)/e^3-4/5*c*d*(-a*e^2+c*d^2)*(e*x+d)^(5/2)/e^3+2/7*c^2*d^2*(e*x+d)^(7/2)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(5/2),x,3,2*(-a*e^2+c*d^2)^2*sqrt(e*x+d)/e^3-4/3*c*d*(-a*e^2+c*d^2)*(e*x+d)^(3/2)/e^3+2/5*c^2*d^2*(e*x+d)^(5/2)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(7/2),x,3,-2*(-a*e^2+c*d^2)^2/e^3/sqrt(e*x+d)-4*c*d*(-a*e^2+c*d^2)*sqrt(e*x+d)/e^3+2/3*c^2*d^2*(e*x+d)^(3/2)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(9/2),x,3,-2/3*(-a*e^2+c*d^2)^2/e^3/(e*x+d)^(3/2)+4*c*d*(-a*e^2+c*d^2)/e^3/sqrt(e*x+d)+2*c^2*d^2*sqrt(e*x+d)/e^3,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(11/2),x,3,-2/5*(-a*e^2+c*d^2)^2/e^3/(e*x+d)^(5/2)+4/3*c*d*(-a*e^2+c*d^2)/e^3/(e*x+d)^(3/2)-2*c^2*d^2/e^3/sqrt(e*x+d),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(13/2),x,3,-2/7*(-a*e^2+c*d^2)^2/e^3/(e*x+d)^(7/2)+4/5*c*d*(-a*e^2+c*d^2)/e^3/(e*x+d)^(5/2)-2/3*c^2*d^2/e^3/(e*x+d)^(3/2),1],
[sqrt(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-2/9*(-a*e^2+c*d^2)^3*(e*x+d)^(9/2)/e^4+6/11*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^(11/2)/e^4-6/13*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^(13/2)/e^4+2/15*c^3*d^3*(e*x+d)^(15/2)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/sqrt(e*x+d),x,3,-2/7*(-a*e^2+c*d^2)^3*(e*x+d)^(7/2)/e^4+2/3*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^(9/2)/e^4-6/11*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^(11/2)/e^4+2/13*c^3*d^3*(e*x+d)^(13/2)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(3/2),x,3,-2/5*(-a*e^2+c*d^2)^3*(e*x+d)^(5/2)/e^4+6/7*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^(7/2)/e^4-2/3*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^(9/2)/e^4+2/11*c^3*d^3*(e*x+d)^(11/2)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(5/2),x,3,-2/3*(-a*e^2+c*d^2)^3*(e*x+d)^(3/2)/e^4+6/5*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^(5/2)/e^4-6/7*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^(7/2)/e^4+2/9*c^3*d^3*(e*x+d)^(9/2)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(7/2),x,3,-2*(-a*e^2+c*d^2)^3*sqrt(e*x+d)/e^4+2*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^(3/2)/e^4-6/5*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^(5/2)/e^4+2/7*c^3*d^3*(e*x+d)^(7/2)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(9/2),x,3,2*(-a*e^2+c*d^2)^3/e^4/sqrt(e*x+d)+6*c*d*(-a*e^2+c*d^2)^2*sqrt(e*x+d)/e^4-2*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^(3/2)/e^4+2/5*c^3*d^3*(e*x+d)^(5/2)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(11/2),x,3,2/3*(-a*e^2+c*d^2)^3/e^4/(e*x+d)^(3/2)-6*c*d*(-a*e^2+c*d^2)^2/e^4/sqrt(e*x+d)-6*c^2*d^2*(-a*e^2+c*d^2)*sqrt(e*x+d)/e^4+2/3*c^3*d^3*(e*x+d)^(3/2)/e^4,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(13/2),x,3,2/5*(-a*e^2+c*d^2)^3/e^4/(e*x+d)^(5/2)-2*c*d*(-a*e^2+c*d^2)^2/e^4/(e*x+d)^(3/2)+6*c^2*d^2*(-a*e^2+c*d^2)/e^4/sqrt(e*x+d)+2*c^3*d^3*sqrt(e*x+d)/e^4,1],
[(e*x+d)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,5,2*(-a*e^2+c*d^2)^3*sqrt(e*x+d)/c^4/d^4+2/3*(-a*e^2+c*d^2)^2*(e*x+d)^(3/2)/c^3/d^3+2/5*(-a*e^2+c*d^2)*(e*x+d)^(5/2)/c^2/d^2+2/7*(e*x+d)^(7/2)/c/d-2*(-a*e^2+c*d^2)^(7/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(9/2)/d^(9/2),1],
[(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,5,2*(-a*e^2+c*d^2)^2*sqrt(e*x+d)/c^3/d^3+2/3*(-a*e^2+c*d^2)*(e*x+d)^(3/2)/c^2/d^2+2/5*(e*x+d)^(5/2)/c/d-2*(-a*e^2+c*d^2)^(5/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(7/2)/d^(7/2),1],
[(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,5,2*(-a*e^2+c*d^2)*sqrt(e*x+d)/c^2/d^2+2/3*(e*x+d)^(3/2)/c/d-2*(-a*e^2+c*d^2)^(3/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(5/2)/d^(5/2),1],
[(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,4,2*sqrt(e*x+d)/c/d-2*sqrt(-a*e^2+c*d^2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(3/2)/d^(3/2),1],
[sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,-2*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/sqrt(c)/sqrt(d)/sqrt(-a*e^2+c*d^2),1],
[1/sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,4,2/(-a*e^2+c*d^2)/sqrt(e*x+d)-2*sqrt(c)*sqrt(d)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(3/2),1],
[1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,5,2/3/(-a*e^2+c*d^2)/(e*x+d)^(3/2)+2*c*d/(-a*e^2+c*d^2)^2/sqrt(e*x+d)-2*c^(3/2)*d^(3/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(5/2),1],
[1/(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,6,2/5/(-a*e^2+c*d^2)/(e*x+d)^(5/2)+2/3*c*d/(-a*e^2+c*d^2)^2/(e*x+d)^(3/2)+2*c^2*d^2/(-a*e^2+c*d^2)^3/sqrt(e*x+d)-2*c^(5/2)*d^(5/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(7/2),1],
[1/(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,7,2/7/(-a*e^2+c*d^2)/(e*x+d)^(7/2)+2/5*c*d/(-a*e^2+c*d^2)^2/(e*x+d)^(5/2)+2/3*c^2*d^2/(-a*e^2+c*d^2)^3/(e*x+d)^(3/2)+2*c^3*d^3/(-a*e^2+c*d^2)^4/sqrt(e*x+d)-2*c^(7/2)*d^(7/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(9/2),1],
[(e*x+d)^(13/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,6,9*e*(-a*e^2+c*d^2)^3*sqrt(e*x+d)/c^5/d^5+3*e*(-a*e^2+c*d^2)^2*(e*x+d)^(3/2)/c^4/d^4+9/5*e*(-a*e^2+c*d^2)*(e*x+d)^(5/2)/c^3/d^3+9/7*e*(e*x+d)^(7/2)/c^2/d^2-(e*x+d)^(9/2)/c/d/(c*d*x+a*e)-9*e*(-a*e^2+c*d^2)^(7/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(11/2)/d^(11/2),1],
[(e*x+d)^(11/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,6,7*e*(-a*e^2+c*d^2)^2*sqrt(e*x+d)/c^4/d^4+7/3*e*(-a*e^2+c*d^2)*(e*x+d)^(3/2)/c^3/d^3+7/5*e*(e*x+d)^(5/2)/c^2/d^2-(e*x+d)^(7/2)/c/d/(c*d*x+a*e)-7*e*(-a*e^2+c*d^2)^(5/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(9/2)/d^(9/2),1],
[(e*x+d)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,6,5*e*(-a*e^2+c*d^2)*sqrt(e*x+d)/c^3/d^3+5/3*e*(e*x+d)^(3/2)/c^2/d^2-(e*x+d)^(5/2)/c/d/(c*d*x+a*e)-5*e*(-a*e^2+c*d^2)^(3/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(7/2)/d^(7/2),1],
[(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,5,3*e*sqrt(e*x+d)/c^2/d^2-(e*x+d)^(3/2)/c/d/(c*d*x+a*e)-3*e*sqrt(-a*e^2+c*d^2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(5/2)/d^(5/2),1],
[(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,4,-sqrt(e*x+d)/c/d/(c*d*x+a*e)-e*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(3/2)/d^(3/2)/sqrt(-a*e^2+c*d^2),1],
[(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,4,-sqrt(e*x+d)/(-a*e^2+c*d^2)/(c*d*x+a*e)+e*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/sqrt(c)/sqrt(d)/(-a*e^2+c*d^2)^(3/2),1],
[sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,5,-3*e/(-a*e^2+c*d^2)^2/sqrt(e*x+d)-1/(-a*e^2+c*d^2)/(c*d*x+a*e)/sqrt(e*x+d)+3*sqrt(c)*sqrt(d)*e*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(5/2),1],
[1/sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,6,-5/3*e/(-a*e^2+c*d^2)^2/(e*x+d)^(3/2)-1/(-a*e^2+c*d^2)/(c*d*x+a*e)/(e*x+d)^(3/2)-5*c*d*e/(-a*e^2+c*d^2)^3/sqrt(e*x+d)+5*c^(3/2)*d^(3/2)*e*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(7/2),1],
[1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,7,-7/5*e/(-a*e^2+c*d^2)^2/(e*x+d)^(5/2)-1/(-a*e^2+c*d^2)/(c*d*x+a*e)/(e*x+d)^(5/2)-7/3*c*d*e/(-a*e^2+c*d^2)^3/(e*x+d)^(3/2)-7*c^2*d^2*e/(-a*e^2+c*d^2)^4/sqrt(e*x+d)+7*c^(5/2)*d^(5/2)*e*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(9/2),1],
[(e*x+d)^(15/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,7,63/4*e^2*(-a*e^2+c*d^2)^2*sqrt(e*x+d)/c^5/d^5+21/4*e^2*(-a*e^2+c*d^2)*(e*x+d)^(3/2)/c^4/d^4+63/20*e^2*(e*x+d)^(5/2)/c^3/d^3-9/4*e*(e*x+d)^(7/2)/c^2/d^2/(c*d*x+a*e)-1/2*(e*x+d)^(9/2)/c/d/(c*d*x+a*e)^2-63/4*e^2*(-a*e^2+c*d^2)^(5/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(11/2)/d^(11/2),1],
[(e*x+d)^(13/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,7,35/4*e^2*(-a*e^2+c*d^2)*sqrt(e*x+d)/c^4/d^4+35/12*e^2*(e*x+d)^(3/2)/c^3/d^3-7/4*e*(e*x+d)^(5/2)/c^2/d^2/(c*d*x+a*e)-1/2*(e*x+d)^(7/2)/c/d/(c*d*x+a*e)^2-35/4*e^2*(-a*e^2+c*d^2)^(3/2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(9/2)/d^(9/2),1],
[(e*x+d)^(11/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,6,15/4*e^2*sqrt(e*x+d)/c^3/d^3-5/4*e*(e*x+d)^(3/2)/c^2/d^2/(c*d*x+a*e)-1/2*(e*x+d)^(5/2)/c/d/(c*d*x+a*e)^2-15/4*e^2*sqrt(-a*e^2+c*d^2)*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(7/2)/d^(7/2),1],
[(e*x+d)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,5,-3/4*e*sqrt(e*x+d)/c^2/d^2/(c*d*x+a*e)-1/2*(e*x+d)^(3/2)/c/d/(c*d*x+a*e)^2-3/4*e^2*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(5/2)/d^(5/2)/sqrt(-a*e^2+c*d^2),1],
[(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,5,-1/2*sqrt(e*x+d)/c/d/(c*d*x+a*e)^2-1/4*e*sqrt(e*x+d)/c/d/(-a*e^2+c*d^2)/(c*d*x+a*e)+1/4*e^2*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/c^(3/2)/d^(3/2)/(-a*e^2+c*d^2)^(3/2),1],
[(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,5,-1/2*sqrt(e*x+d)/(-a*e^2+c*d^2)/(c*d*x+a*e)^2+3/4*e*sqrt(e*x+d)/(-a*e^2+c*d^2)^2/(c*d*x+a*e)-3/4*e^2*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/sqrt(c)/sqrt(d)/(-a*e^2+c*d^2)^(5/2),1],
[(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,6,15/4*e^2/(-a*e^2+c*d^2)^3/sqrt(e*x+d)-1/2/(-a*e^2+c*d^2)/(c*d*x+a*e)^2/sqrt(e*x+d)+5/4*e/(-a*e^2+c*d^2)^2/(c*d*x+a*e)/sqrt(e*x+d)-15/4*sqrt(c)*sqrt(d)*e^2*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(7/2),1],
[sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,7,35/12*e^2/(-a*e^2+c*d^2)^3/(e*x+d)^(3/2)-1/2/(-a*e^2+c*d^2)/(c*d*x+a*e)^2/(e*x+d)^(3/2)+7/4*e/(-a*e^2+c*d^2)^2/(c*d*x+a*e)/(e*x+d)^(3/2)+35/4*c*d*e^2/(-a*e^2+c*d^2)^4/sqrt(e*x+d)-35/4*c^(3/2)*d^(3/2)*e^2*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(9/2),1],
[1/sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,8,63/20*e^2/(-a*e^2+c*d^2)^3/(e*x+d)^(5/2)-1/2/(-a*e^2+c*d^2)/(c*d*x+a*e)^2/(e*x+d)^(5/2)+9/4*e/(-a*e^2+c*d^2)^2/(c*d*x+a*e)/(e*x+d)^(5/2)+21/4*c*d*e^2/(-a*e^2+c*d^2)^4/(e*x+d)^(3/2)+63/4*c^2*d^2*e^2/(-a*e^2+c*d^2)^5/sqrt(e*x+d)-63/4*c^(5/2)*d^(5/2)*e^2*arctanh(sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^(11/2),1],
[(e*x+d)^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,8,7/128*(-a*e^2+c*d^2)^4*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^4/d^4/e+7/48*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3+7/64*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^4/d^4/(e*x+d)+7/40*(-a*e^2+c*d^2)*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2+1/5*(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c/d-7/128*(-a*e^2+c*d^2)^5*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(9/2)/d^(9/2)/e^(3/2),1],
[(e*x+d)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,7,5/64*(-a*e^2+c*d^2)^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3/e+5/24*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2+5/32*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3/(e*x+d)+1/4*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c/d-5/64*(-a*e^2+c*d^2)^4*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(7/2)/d^(7/2)/e^(3/2),1],
[(e*x+d)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,6,1/8*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2/e+1/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c/d+1/4*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2/(e*x+d)-1/8*(-a*e^2+c*d^2)^3*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(5/2)/d^(5/2)/e^(3/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,1/4*(2*c*d*e*x+a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d/e-1/4*(-a*e^2+c*d^2)^2*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(3/2)/d^(3/2)/e^(3/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d),x,4,sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e-(-a*e^2+c*d^2)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/sqrt(c)/sqrt(d)/e^(3/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^2,x,4,-2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/(e*x+d)+2*sqrt(c)*sqrt(d)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(3/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^3,x,2,2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)/(e*x+d)^3,1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^4,x,3,2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)/(e*x+d)^4+4/15*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)^2/(e*x+d)^3,1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^5,x,4,2/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)/(e*x+d)^5+8/35*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)^2/(e*x+d)^4+16/105*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)^3/(e*x+d)^3,1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^6,x,5,2/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)/(e*x+d)^6+4/21*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)^2/(e*x+d)^5+16/105*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)^3/(e*x+d)^4+32/315*c^3*d^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(-a*e^2+c*d^2)^4/(e*x+d)^3,1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,9,-7/512*(-a*e^2+c*d^2)^5*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^4/d^4/e^2+7/768*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^4/d^4/e/(e*x+d)+7/60*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^2/d^2+7/192*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^4/d^4/(e*x+d)^2+7/96*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^3/d^3/(e*x+d)+1/6*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c/d+7/512*(-a*e^2+c*d^2)^6*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(9/2)/d^(9/2)/e^(5/2),1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,8,-3/128*(-a*e^2+c*d^2)^4*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3/e^2+1/64*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3/e/(e*x+d)+1/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c/d+1/16*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^3/d^3/(e*x+d)^2+1/8*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^2/d^2/(e*x+d)+3/128*(-a*e^2+c*d^2)^5*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(7/2)/d^(7/2)/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,4,-3/64*(-a*e^2+c*d^2)^2*(2*c*d*e*x+a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2/e^2+1/8*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c/d/e+3/64*(-a*e^2+c*d^2)^4*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(5/2)/d^(5/2)/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d),x,6,-1/8*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d/e^2+(d/e-a*e/c/d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(12*e*x+12*d)+1/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c/d/(e*x+d)^2+1/8*(-a*e^2+c*d^2)^3*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(3/2)/d^(3/2)/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^2,x,5,3/4*(a-c*d^2/e^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+1/2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)+3/4*(-a*e^2+c*d^2)^2*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/sqrt(c)/sqrt(d)/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^3,x,5,3*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2-2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)^2-3*sqrt(c)*sqrt(d)*(-a*e^2+c*d^2)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^4,x,5,-2*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/(e*x+d)-2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)^3+2*c^(3/2)*d^(3/2)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^5,x,2,2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)/(e*x+d)^5,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^6,x,3,2/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)/(e*x+d)^6+4/35*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)^2/(e*x+d)^5,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^7,x,4,2/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)/(e*x+d)^7+8/63*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)^2/(e*x+d)^6+16/315*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)^3/(e*x+d)^5,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^8,x,5,2/11*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)/(e*x+d)^8+4/33*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)^2/(e*x+d)^7+16/231*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)^3/(e*x+d)^6+32/1155*c^3*d^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(-a*e^2+c*d^2)^4/(e*x+d)^5,1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,11,45/16384*(-a*e^2+c*d^2)^7*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^5/d^5/e^3-15/8192*(-a*e^2+c*d^2)^6*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^5/d^5/e^2/(e*x+d)+3/2048*(-a*e^2+c*d^2)^5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^5/d^5/e/(e*x+d)^2+9/112*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^2/d^2+9/1024*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^5/d^5/(e*x+d)^3+3/128*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^4/d^4/(e*x+d)^2+3/64*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^3/d^3/(e*x+d)+1/8*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c/d-45/16384*(-a*e^2+c*d^2)^8*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(11/2)/d^(11/2)/e^(7/2),1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,10,5/1024*(-a*e^2+c*d^2)^6*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^4/d^4/e^3-5/1536*(-a*e^2+c*d^2)^5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^4/d^4/e^2/(e*x+d)+1/384*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^4/d^4/e/(e*x+d)^2+1/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c/d+1/64*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^4/d^4/(e*x+d)^3+1/24*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^3/d^3/(e*x+d)^2+1/12*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^2/d^2/(e*x+d)-5/1024*(-a*e^2+c*d^2)^7*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(9/2)/d^(9/2)/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,5,5/512*(-a*e^2+c*d^2)^4*(2*c*d*e*x+a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3/e^3-5/192*(-a*e^2+c*d^2)^2*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2/e^2+1/12*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c/d/e-5/512*(-a*e^2+c*d^2)^6*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(7/2)/d^(7/2)/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d),x,8,3/128*(-a*e^2+c*d^2)^4*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2/e^3-1/64*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2/e^2/(e*x+d)+1/80*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^2/d^2/e/(e*x+d)^2+3/40*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^2/d^2/(e*x+d)^3+1/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c/d/(e*x+d)^2-3/128*(-a*e^2+c*d^2)^5*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(5/2)/d^(5/2)/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^2,x,7,5/64*(-a*e^2+c*d^2)^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d/e^3-5/96*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c/d/e^2/(e*x+d)+1/24*(d/e-a*e/c/d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^2+1/4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c/d/(e*x+d)^3-5/64*(-a*e^2+c*d^2)^4*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(3/2)/d^(3/2)/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^3,x,6,5/8*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3+5*(a-c*d^2/e^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(12*e*x+12*d)+1/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^2-5/8*(-a*e^2+c*d^2)^3*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/sqrt(c)/sqrt(d)/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^4,x,6,15/4*c*d*(a-c*d^2/e^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e+5/2*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)-2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^3+15/4*sqrt(c)*sqrt(d)*(-a*e^2+c*d^2)^2*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^5,x,6,5*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3-10/3*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)^2-2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^4-5*c^(3/2)*d^(3/2)*(-a*e^2+c*d^2)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^6,x,6,-2*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/(e*x+d)-2/3*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)^3-2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^5+2*c^(5/2)*d^(5/2)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^7,x,2,2/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)/(e*x+d)^7,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^8,x,3,2/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)/(e*x+d)^8+4/63*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)^2/(e*x+d)^7,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^9,x,4,2/11*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)/(e*x+d)^9+8/99*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)^2/(e*x+d)^8+16/693*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)^3/(e*x+d)^7,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^10,x,5,2/13*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)/(e*x+d)^10+12/143*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)^2/(e*x+d)^9+16/429*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)^3/(e*x+d)^8+32/3003*c^3*d^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(-a*e^2+c*d^2)^4/(e*x+d)^7,1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2),x,12,-35/32768*(-a*e^2+c*d^2)^8*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^5/d^5/e^4+35/49152*(-a*e^2+c*d^2)^7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^5/d^5/e^3/(e*x+d)-7/12288*(-a*e^2+c*d^2)^6*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^5/d^5/e^2/(e*x+d)^2+1/2048*(-a*e^2+c*d^2)^5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^5/d^5/e/(e*x+d)^3+1/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c/d+1/256*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^5/d^5/(e*x+d)^4+5/384*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^4/d^4/(e*x+d)^3+1/32*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^3/d^3/(e*x+d)^2+1/16*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^2/d^2/(e*x+d)+35/32768*(-a*e^2+c*d^2)^9*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(11/2)/d^(11/2)/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2),x,6,-35/16384*(-a*e^2+c*d^2)^6*(2*c*d*e*x+a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^4/d^4/e^4+35/6144*(-a*e^2+c*d^2)^4*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3/e^3-7/384*(-a*e^2+c*d^2)^2*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^2/d^2/e^2+1/16*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c/d/e+35/16384*(-a*e^2+c*d^2)^8*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(9/2)/d^(9/2)/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d),x,10,-5/1024*(-a*e^2+c*d^2)^6*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3/e^4+5/1536*(-a*e^2+c*d^2)^5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3/e^3/(e*x+d)-1/384*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^3/d^3/e^2/(e*x+d)^2+1/448*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^3/d^3/e/(e*x+d)^3+1/56*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^3/d^3/(e*x+d)^4+5/84*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^2/d^2/(e*x+d)^3+1/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c/d/(e*x+d)^2+5/1024*(-a*e^2+c*d^2)^7*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(7/2)/d^(7/2)/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^2,x,9,-7/512*(-a*e^2+c*d^2)^5*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2/e^4+7/768*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2/e^3/(e*x+d)-7/960*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^2/d^2/e^2/(e*x+d)^2+1/160*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^2/d^2/e/(e*x+d)^3+1/20*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^2/d^2/(e*x+d)^4+1/6*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c/d/(e*x+d)^3+7/512*(-a*e^2+c*d^2)^6*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(5/2)/d^(5/2)/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^3,x,8,-7/128*(-a*e^2+c*d^2)^4*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d/e^4+7/192*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c/d/e^3/(e*x+d)-7/240*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c/d/e^2/(e*x+d)^2+1/40*(d/e-a*e/c/d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^3+1/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c/d/(e*x+d)^4+7/128*(-a*e^2+c*d^2)^5*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/c^(3/2)/d^(3/2)/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^4,x,7,-35/64*(-a*e^2+c*d^2)^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^4+35/96*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^3/(e*x+d)+7/24*(a-c*d^2/e^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^2+1/4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/e/(e*x+d)^3+35/64*(-a*e^2+c*d^2)^4*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/sqrt(c)/sqrt(d)/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^5,x,7,35/8*c*d*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^4+35/12*c*d*(a-c*d^2/e^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)+7/3*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e^2/(e*x+d)^2-2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/e/(e*x+d)^4-35/8*sqrt(c)*sqrt(d)*(-a*e^2+c*d^2)^3*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^6,x,7,35/4*c^2*d^2*(a-c*d^2/e^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2+35/6*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^3/(e*x+d)-14/3*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e^2/(e*x+d)^3-2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/e/(e*x+d)^5+35/4*c^(3/2)*d^(3/2)*(-a*e^2+c*d^2)^2*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^7,x,7,7*c^3*d^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^4-14/3*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^3/(e*x+d)^2-14/15*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e^2/(e*x+d)^4-2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/e/(e*x+d)^6-7*c^(5/2)*d^(5/2)*(-a*e^2+c*d^2)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^8,x,7,-2*c^3*d^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^4/(e*x+d)-2/3*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^3/(e*x+d)^3-2/5*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e^2/(e*x+d)^5-2/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/e/(e*x+d)^7+2*c^(7/2)*d^(7/2)*arctanh(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(c)/sqrt(d)/(e*x+d))/e^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^9,x,2,2/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)/(e*x+d)^9,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^10,x,3,2/11*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)/(e*x+d)^10+4/99*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)^2/(e*x+d)^9,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^11,x,4,2/13*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)/(e*x+d)^11+8/143*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)^2/(e*x+d)^10+16/1287*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)^3/(e*x+d)^9,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/(e*x+d)^12,x,5,2/15*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)/(e*x+d)^12+4/65*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)^2/(e*x+d)^11+16/715*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)^3/(e*x+d)^10+32/6435*c^3*d^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/(-a*e^2+c*d^2)^4/(e*x+d)^9,1],
[(e*x+d)^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,6,5/8*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3+5/12*(-a*e^2+c*d^2)*(e*x+d)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2+1/3*(e*x+d)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d+5/8*(-a*e^2+c*d^2)^3*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(7/2)/d^(7/2)/sqrt(e),1],
[(e*x+d)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,5,3/4*(-a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2+1/2*(e*x+d)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d+3/4*(-a*e^2+c*d^2)^2*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(5/2)/d^(5/2)/sqrt(e),1],
[(e*x+d)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,4,sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d+(-a*e^2+c*d^2)*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(3/2)/d^(3/2)/sqrt(e),1],
[1/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,2,2*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/sqrt(c)/sqrt(d)/sqrt(e),1],
[1/(e*x+d)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,2,2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)/(e*x+d),1],
[1/(e*x+d)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2/3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)/(e*x+d)^2+4/3*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2/(e*x+d),1],
[1/(e*x+d)^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,4,2/5*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)/(e*x+d)^3+8/15*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2/(e*x+d)^2+16/15*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d),1],
[1/(e*x+d)^4/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,5,2/7*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)/(e*x+d)^4+12/35*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2/(e*x+d)^3+16/35*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d)^2+32/35*c^3*d^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^4/(e*x+d),1],
[(e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,7,-2*(e*x+d)^4/c/d/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+35/8*e*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^4/d^4+35/12*e*(-a*e^2+c*d^2)*(e*x+d)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3+7/3*e*(e*x+d)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2+35/8*sqrt(e)*(-a*e^2+c*d^2)^3*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(9/2)/d^(9/2),1],
[(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,6,-2*(e*x+d)^3/c/d/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+15/4*e*(-a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3+5/2*e*(e*x+d)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2+15/4*sqrt(e)*(-a*e^2+c*d^2)^2*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(7/2)/d^(7/2),1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,5,-2*(e*x+d)^2/c/d/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+3*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2+3*sqrt(e)*(-a*e^2+c*d^2)*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(5/2)/d^(5/2),1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,4,(-2*e*x-2*d)/c/d/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+2*sqrt(e)*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(3/2)/d^(3/2),1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,2,(-2*e*x-2*d)/(-a*e^2+c*d^2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,1,(-4*c*d*e*x-2*a*e^2-2*c*d^2)/(-a*e^2+c*d^2)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,4,-2/(-a*e^2+c*d^2)/(e*x+d)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-8/3*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2/(e*x+d)^2-16/3*c*d*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d),1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,5,-2/(-a*e^2+c*d^2)/(e*x+d)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-12/5*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2/(e*x+d)^3-16/5*c*d*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d)^2-32/5*c^2*d^2*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^4/(e*x+d),1],
[1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,6,-2/(-a*e^2+c*d^2)/(e*x+d)^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-16/7*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2/(e*x+d)^4-96/35*c*d*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d)^3-128/35*c^2*d^2*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^4/(e*x+d)^2-256/35*c^3*d^3*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^5/(e*x+d),1],
[(e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,7,-2/3*(e*x+d)^5/c/d/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-14/3*e*(e*x+d)^3/c^2/d^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+35/4*e^2*(-a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^4/d^4+35/6*e^2*(e*x+d)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3+35/4*e^(3/2)*(-a*e^2+c*d^2)^2*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(9/2)/d^(9/2),1],
[(e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,6,-2/3*(e*x+d)^4/c/d/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-10/3*e*(e*x+d)^2/c^2/d^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+5*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3+5*e^(3/2)*(-a*e^2+c*d^2)*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(7/2)/d^(7/2),1],
[(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,5,-2/3*(e*x+d)^3/c/d/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-2*e*(e*x+d)/c^2/d^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+2*e^(3/2)*arctanh(sqrt(c)*sqrt(d)*(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/c^(5/2)/d^(5/2),1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,2,-2/3*(e*x+d)^3/(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,3,-2/3*(e*x+d)^2/(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+4/3*e*(e*x+d)/(-a*e^2+c*d^2)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,4,2*(e*x+d)/(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-8/3*c*d*(e*x+d)^2/(-a*e^2+c*d^2)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+16/3*c*d*e*(e*x+d)/(-a*e^2+c*d^2)^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,2,1/3*(-4*c*d*e*x-2*a*e^2-2*c*d^2)/(-a*e^2+c*d^2)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+16/3*c*d*e*(2*c*d*e*x+a*e^2+c*d^2)/(-a*e^2+c*d^2)^4/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,6,-2/3/(-a*e^2+c*d^2)/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+16/3*e/(-a*e^2+c*d^2)^2/(e*x+d)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+32/5*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d)^3+128/15*c*d*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^4/(e*x+d)^2+256/15*c^2*d^2*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^5/(e*x+d),1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,7,-2/3/(-a*e^2+c*d^2)/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+20/3*e/(-a*e^2+c*d^2)^2/(e*x+d)^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+160/21*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d)^4+64/7*c*d*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^4/(e*x+d)^3+256/21*c^2*d^2*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^5/(e*x+d)^2+512/21*c^3*d^3*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^6/(e*x+d),1],
[1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,8,-2/3/(-a*e^2+c*d^2)/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+8*e/(-a*e^2+c*d^2)^2/(e*x+d)^4/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+80/9*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^3/(e*x+d)^5+640/63*c*d*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^4/(e*x+d)^4+256/21*c^2*d^2*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^5/(e*x+d)^3+1024/63*c^3*d^3*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^6/(e*x+d)^2+2048/63*c^4*d^4*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^7/(e*x+d),1],
[(1+x)/(x^2+3*x+2)^(3/2),x,2,2*(1+x)/sqrt(x^2+3*x+2),1],
[1/(e*x+d)/sqrt((b*d*e-c*d^2)/e^2+b*x+c*x^2),x,2,2*e*sqrt(-d*(-b*e+c*d)/e^2+b*x+c*x^2)/(-b*e+2*c*d)/(e*x+d),1],
[(-1+x)/sqrt(x^2-4*x+3),x,3,sqrt(x^2-4*x+3)-2*arctanh((1-x)/sqrt(x^2-4*x+3)),1],
[(e*x+d)^(7/2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2/3*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^5/d^5/(e*x+d)^(3/2)+8/5*e*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^5/d^5/(e*x+d)^(5/2)+12/7*e^2*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^5/d^5/(e*x+d)^(7/2)+8/9*e^3*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^5/d^5/(e*x+d)^(9/2)+2/11*e^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(11/2)/c^5/d^5/(e*x+d)^(11/2),1],
[(e*x+d)^(5/2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2/3*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^4/d^4/(e*x+d)^(3/2)+6/5*e*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^4/d^4/(e*x+d)^(5/2)+6/7*e^2*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^4/d^4/(e*x+d)^(7/2)+2/9*e^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^4/d^4/(e*x+d)^(9/2),1],
[(e*x+d)^(3/2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2/3*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3/(e*x+d)^(3/2)+4/5*e*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^3/d^3/(e*x+d)^(5/2)+2/7*e^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^3/d^3/(e*x+d)^(7/2),1],
[sqrt(e*x+d)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2/3*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2/(e*x+d)^(3/2)+2/5*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^2/d^2/(e*x+d)^(5/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(e*x+d),x,2,2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c/d/(e*x+d)^(3/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(3/2),x,4,2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/sqrt(e*x+d)-2*sqrt(-a*e^2+c*d^2)*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(3/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(5/2),x,4,-sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/(e*x+d)^(3/2)+c*d*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(3/2)/sqrt(-a*e^2+c*d^2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(7/2),x,5,-1/2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/(e*x+d)^(5/2)+1/4*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/(-a*e^2+c*d^2)/(e*x+d)^(3/2)+1/4*c^2*d^2*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(3/2)/(-a*e^2+c*d^2)^(3/2),1],
[sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(9/2),x,6,-1/3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/(e*x+d)^(7/2)+1/12*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/(-a*e^2+c*d^2)/(e*x+d)^(5/2)+1/8*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/(-a*e^2+c*d^2)^2/(e*x+d)^(3/2)+1/8*c^3*d^3*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(3/2)/(-a*e^2+c*d^2)^(5/2),1],
[(e*x+d)^(5/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,3,2/5*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^5/d^5/(e*x+d)^(5/2)+8/7*e*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^5/d^5/(e*x+d)^(7/2)+4/3*e^2*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^5/d^5/(e*x+d)^(9/2)+8/11*e^3*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(11/2)/c^5/d^5/(e*x+d)^(11/2)+2/13*e^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(13/2)/c^5/d^5/(e*x+d)^(13/2),1],
[(e*x+d)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,3,2/5*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^4/d^4/(e*x+d)^(5/2)+6/7*e*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^4/d^4/(e*x+d)^(7/2)+2/3*e^2*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^4/d^4/(e*x+d)^(9/2)+2/11*e^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(11/2)/c^4/d^4/(e*x+d)^(11/2),1],
[sqrt(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,3,2/5*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^3/d^3/(e*x+d)^(5/2)+4/7*e*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^3/d^3/(e*x+d)^(7/2)+2/9*e^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^3/d^3/(e*x+d)^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/sqrt(e*x+d),x,3,2/5*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^2/d^2/(e*x+d)^(5/2)+2/7*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^2/d^2/(e*x+d)^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x,2,2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c/d/(e*x+d)^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(5/2),x,5,2*(a-c*d^2/e^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(e*x+d)+2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)^(3/2)+2*(-a*e^2+c*d^2)^(3/2)*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(7/2),x,5,3*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/sqrt(e*x+d)-(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)^(5/2)-3*c*d*sqrt(-a*e^2+c*d^2)*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(5/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(9/2),x,5,-3/4*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/(e*x+d)^(3/2)-1/2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)^(7/2)+3/4*c^2*d^2*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(5/2)/sqrt(-a*e^2+c*d^2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(11/2),x,6,-1/4*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/(e*x+d)^(5/2)+1/8*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/(-a*e^2+c*d^2)/(e*x+d)^(3/2)-1/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)^(9/2)+1/8*c^3*d^3*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(5/2)/(-a*e^2+c*d^2)^(3/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(13/2),x,7,-1/8*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/(e*x+d)^(7/2)+1/32*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/(-a*e^2+c*d^2)/(e*x+d)^(5/2)+3/64*c^3*d^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^2/(-a*e^2+c*d^2)^2/(e*x+d)^(3/2)-1/4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e/(e*x+d)^(11/2)+3/64*c^4*d^4*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(5/2)/(-a*e^2+c*d^2)^(5/2),1],
[(e*x+d)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,3,2/7*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^5/d^5/(e*x+d)^(7/2)+8/9*e*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^5/d^5/(e*x+d)^(9/2)+12/11*e^2*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(11/2)/c^5/d^5/(e*x+d)^(11/2)+8/13*e^3*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(13/2)/c^5/d^5/(e*x+d)^(13/2)+2/15*e^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(15/2)/c^5/d^5/(e*x+d)^(15/2),1],
[sqrt(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,3,2/7*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^4/d^4/(e*x+d)^(7/2)+2/3*e*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^4/d^4/(e*x+d)^(9/2)+6/11*e^2*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(11/2)/c^4/d^4/(e*x+d)^(11/2)+2/13*e^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(13/2)/c^4/d^4/(e*x+d)^(13/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/sqrt(e*x+d),x,3,2/7*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^3/d^3/(e*x+d)^(7/2)+4/9*e*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^3/d^3/(e*x+d)^(9/2)+2/11*e^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(11/2)/c^3/d^3/(e*x+d)^(11/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(3/2),x,3,2/7*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^2/d^2/(e*x+d)^(7/2)+2/9*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/2)/c^2/d^2/(e*x+d)^(9/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x,2,2/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c/d/(e*x+d)^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(7/2),x,5,2*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/sqrt(e*x+d)+2/3*(a-c*d^2/e^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)+2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^(5/2)-2*(-a*e^2+c*d^2)^(5/2)*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(9/2),x,6,5*c*d*(a-c*d^2/e^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e/sqrt(e*x+d)+5/3*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)^(3/2)-(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^(7/2)+5*c*d*(-a*e^2+c*d^2)^(3/2)*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(11/2),x,6,15/4*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/sqrt(e*x+d)-5/4*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)^(5/2)-1/2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^(9/2)-15/4*c^2*d^2*sqrt(-a*e^2+c*d^2)*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(7/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(13/2),x,6,-5/8*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/(e*x+d)^(3/2)-5/12*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)^(7/2)-1/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^(11/2)+5/8*c^3*d^3*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(7/2)/sqrt(-a*e^2+c*d^2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(15/2),x,7,-5/32*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/(e*x+d)^(5/2)+5/64*c^3*d^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/(-a*e^2+c*d^2)/(e*x+d)^(3/2)-5/24*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)^(9/2)-1/4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^(13/2)+5/64*c^4*d^4*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(7/2)/(-a*e^2+c*d^2)^(3/2),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(17/2),x,8,-1/16*c^2*d^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/(e*x+d)^(7/2)+1/64*c^3*d^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/(-a*e^2+c*d^2)/(e*x+d)^(5/2)+3/128*c^4*d^4*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/e^3/(-a*e^2+c*d^2)^2/(e*x+d)^(3/2)-1/8*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/e^2/(e*x+d)^(11/2)-1/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/e/(e*x+d)^(15/2)+3/128*c^5*d^5*arctan(sqrt(e)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-a*e^2+c*d^2)/sqrt(e*x+d))/e^(7/2)/(-a*e^2+c*d^2)^(5/2),1],
[(e*x+d)^(7/2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2*(-a*e^2+c*d^2)^3*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^4/d^4/sqrt(e*x+d)+2*e*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^4/d^4/(e*x+d)^(3/2)+6/5*e^2*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^4/d^4/(e*x+d)^(5/2)+2/7*e^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/2)/c^4/d^4/(e*x+d)^(7/2),1],
[(e*x+d)^(5/2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2*(-a*e^2+c*d^2)^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3/sqrt(e*x+d)+4/3*e*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3/(e*x+d)^(3/2)+2/5*e^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/c^3/d^3/(e*x+d)^(5/2),1],
[(e*x+d)^(3/2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,2*(-a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2/sqrt(e*x+d)+2/3*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^2/d^2/(e*x+d)^(3/2),1],
[sqrt(e*x+d)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,2,2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d/sqrt(e*x+d),1],
[1/sqrt(e*x+d)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,-2*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/sqrt(e)/sqrt(-a*e^2+c*d^2),1],
[1/(e*x+d)^(3/2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,4,sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)/(e*x+d)^(3/2)-c*d*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/sqrt(e)/(-a*e^2+c*d^2)^(3/2),1],
[1/(e*x+d)^(5/2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,5,1/2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)/(e*x+d)^(5/2)+3/4*c*d*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2/(e*x+d)^(3/2)-3/4*c^2*d^2*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/sqrt(e)/(-a*e^2+c*d^2)^(5/2),1],
[(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,3,-2*(-a*e^2+c*d^2)^2*sqrt(e*x+d)/c^3/d^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+4*e*(-a*e^2+c*d^2)*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3/sqrt(e*x+d)+2/3*e^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/c^3/d^3/(e*x+d)^(3/2),1],
[(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,3,-2*(-a*e^2+c*d^2)*sqrt(e*x+d)/c^2/d^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+2*e*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^2/d^2/sqrt(e*x+d),1],
[(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,2,-2*sqrt(e*x+d)/c/d/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),1],
[sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,4,-2*sqrt(e*x+d)/(-a*e^2+c*d^2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+2*sqrt(e)*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/(-a*e^2+c*d^2)^(3/2),1],
[1/sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,5,1/(-a*e^2+c*d^2)/sqrt(e*x+d)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-3*c*d*sqrt(e*x+d)/(-a*e^2+c*d^2)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+3*c*d*sqrt(e)*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/(-a*e^2+c*d^2)^(5/2),1],
[1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x,6,1/2/(-a*e^2+c*d^2)/(e*x+d)^(3/2)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+5/4*c*d/(-a*e^2+c*d^2)^2/sqrt(e*x+d)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-15/4*c^2*d^2*sqrt(e*x+d)/(-a*e^2+c*d^2)^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+15/4*c^2*d^2*sqrt(e)*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/(-a*e^2+c*d^2)^(7/2),1],
[(e*x+d)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,3,-2/3*(-a*e^2+c*d^2)^2*(e*x+d)^(3/2)/c^3/d^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-4*e*(-a*e^2+c*d^2)*sqrt(e*x+d)/c^3/d^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)+2*e^2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c^3/d^3/sqrt(e*x+d),1],
[(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,3,-2/3*(-a*e^2+c*d^2)*(e*x+d)^(3/2)/c^2/d^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-2*e*sqrt(e*x+d)/c^2/d^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),1],
[(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,2,-2/3*(e*x+d)^(3/2)/c/d/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),1],
[(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,5,-2/3*(e*x+d)^(3/2)/(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+2*e*sqrt(e*x+d)/(-a*e^2+c*d^2)^2/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-2*e^(3/2)*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/(-a*e^2+c*d^2)^(5/2),1],
[sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,6,sqrt(e*x+d)/(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-5/3*c*d*(e*x+d)^(3/2)/(-a*e^2+c*d^2)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+5*c*d*e*sqrt(e*x+d)/(-a*e^2+c*d^2)^3/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-5*c*d*e^(3/2)*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/(-a*e^2+c*d^2)^(7/2),1],
[1/sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,7,1/2/(-a*e^2+c*d^2)/sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+7/4*c*d*sqrt(e*x+d)/(-a*e^2+c*d^2)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-35/12*c^2*d^2*(e*x+d)^(3/2)/(-a*e^2+c*d^2)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+35/4*c^2*d^2*e*sqrt(e*x+d)/(-a*e^2+c*d^2)^4/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-35/4*c^2*d^2*e^(3/2)*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/(-a*e^2+c*d^2)^(9/2),1],
[1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x,8,1/3/(-a*e^2+c*d^2)/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+3/4*c*d/(-a*e^2+c*d^2)^2/sqrt(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+21/8*c^2*d^2*sqrt(e*x+d)/(-a*e^2+c*d^2)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)-35/8*c^3*d^3*(e*x+d)^(3/2)/(-a*e^2+c*d^2)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)+105/8*c^3*d^3*e*sqrt(e*x+d)/(-a*e^2+c*d^2)^5/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)-105/8*c^3*d^3*e^(3/2)*arctan(sqrt(-a*e^2+c*d^2)*sqrt(e*x+d)/sqrt(e)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2))/(-a*e^2+c*d^2)^(11/2),1],
[1/sqrt(e*x+d)/sqrt(-e^2*x^2+d^2),x,2,-sqrt(2)*arctanh(sqrt(-e^2*x^2+d^2)/sqrt(2)/sqrt(d)/sqrt(e*x+d))/sqrt(d)/e,1],
[1/sqrt(e*x-d)/sqrt(-e^2*x^2+d^2),x,2,sqrt(2)*arctan(sqrt(-e^2*x^2+d^2)/sqrt(2)/sqrt(d)/sqrt(e*x-d))/sqrt(d)/e,1],
[(e*x+d)^(2/3)/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,4,3/2*sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/c/d/(e*x+d)^(1/3)+1/4*3^(3/4)*(-a*e^2+c*d^2)^(2/3)*(e*x+d)^(2/3)*((-a*e^2+c*d^2)^(1/3)-c^(1/3)*d^(1/3)*(e*x+d)^(1/3))*sqrt(((-a*e^2+c*d^2)^(2/3)+c^(1/3)*d^(1/3)*(-a*e^2+c*d^2)^(1/3)*(e*x+d)^(1/3)+c^(2/3)*d^(2/3)*(e*x+d)^(2/3))/((-a*e^2+c*d^2)^(1/3)-(1+sqrt(3))*c^(1/3)*d^(1/3)*(e*x+d)^(1/3))^2)*InverseJacobiAM(arccos(((-a*e^2+c*d^2)^(1/3)-(1-sqrt(3))*c^(1/3)*d^(1/3)*(e*x+d)^(1/3))/((-a*e^2+c*d^2)^(1/3)-(1+sqrt(3))*c^(1/3)*d^(1/3)*(e*x+d)^(1/3))),sqrt(1/2+1/4*sqrt(3)))/c/d/e/sqrt(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/sqrt(-c^(1/3)*d^(1/3)*(e*x+d)^(1/3)*((-a*e^2+c*d^2)^(1/3)-c^(1/3)*d^(1/3)*(e*x+d)^(1/3))/((-a*e^2+c*d^2)^(1/3)-(1+sqrt(3))*c^(1/3)*d^(1/3)*(e*x+d)^(1/3))^2),1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x,2,-3*(e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(2/3)*hypergeom([1, 13/3],[14/3],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-11*a*e^2+11*c*d^2),1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x,2,-3*(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(2/3)*hypergeom([1, 10/3],[11/3],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-8*a*e^2+8*c*d^2),1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x,2,-3*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(2/3)*hypergeom([1, 7/3],[8/3],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-5*a*e^2+5*c*d^2),1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x,1,-3/2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(2/3)*hypergeom([1/3, 2/3],[5/3],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(-e*(c*d*x+a*e)/(-a*e^2+c*d^2))^(2/3),1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x,2,3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(2/3)*hypergeom([1/3, 1],[2/3],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(e*x+d),1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x,2,3/4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(2/3)*hypergeom([-2/3, 1],[-1/3],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(e*x+d)^2,1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,7,3/28*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^3/d^3/e+9/35*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c^2/d^2+3/14*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c^3/d^3/(e*x+d)+2/7*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c/d+3/28*(-a*e^2+c*d^2)^(7/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^4/d^4/sqrt(e)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,6,1/6*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^2/d^2/e+2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c/d+1/3*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c^2/d^2/(e*x+d)+1/6*(-a*e^2+c*d^2)^(5/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^3/d^3/sqrt(e)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,4,1/3*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c/d/e-1/3*(-a*e^2+c*d^2)^3*(-c*d*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2)^(3/4)*InverseJacobiAM(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2)),sqrt(2))/sqrt(2)/c^2/d^2/e^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(e*x+d),x,4,2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e+2*sqrt(-a*e^2+c*d^2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c/d/sqrt(e)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(e*x+d)^2,x,4,-4/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e/(e*x+d)-4/3*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/sqrt(e)/sqrt(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(e*x+d)^3,x,5,-4/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e/(e*x+d)^2+4/21*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e/(-a*e^2+c*d^2)/(e*x+d)-8/21*c*d*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/sqrt(e)/(-a*e^2+c*d^2)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(e*x+d)^4,x,6,-4/11*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e/(e*x+d)^3+4/77*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e/(-a*e^2+c*d^2)/(e*x+d)^2+8/77*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e/(-a*e^2+c*d^2)^2/(e*x+d)-16/77*c^2*d^2*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/sqrt(e)/(-a*e^2+c*d^2)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,7,11/180*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^3/d^3/e+11/63*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/4)/c^2/d^2+11/90*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/4)/c^3/d^3/(e*x+d)+2/9*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/4)/c/d-11/120*(-a*e^2+c*d^2)^5*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^4/d^4/e^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,6,1/10*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^2/d^2/e+2/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/4)/c/d+1/5*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(7/4)/c^2/d^2/(e*x+d)-3/20*(-a*e^2+c*d^2)^4*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^3/d^3/e^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,4,1/5*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c/d/e-3/10*(-a*e^2+c*d^2)^3*(-c*d*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^2/d^2/e^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(e*x+d),x,4,2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e-(-a*e^2+c*d^2)^2*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c/d/e^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(e*x+d)^2,x,4,-4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e/(e*x+d)+3*sqrt(2)*(-a*e^2+c*d^2)*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/e^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(e*x+d)^3,x,4,-4/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e/(e*x+d)^2-12/5*c*d*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/e^(3/2)/sqrt(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(e*x+d)^4,x,5,-4/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e/(e*x+d)^3+4/15*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e/(-a*e^2+c*d^2)/(e*x+d)^2-8/15*c^2*d^2*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/e^(3/2)/(-a*e^2+c*d^2)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(e*x+d)^5,x,6,-4/13*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e/(e*x+d)^4+4/39*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e/(-a*e^2+c*d^2)/(e*x+d)^3+8/65*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/e/(-a*e^2+c*d^2)^2/(e*x+d)^2-16/65*c^3*d^3*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/e^(3/2)/(-a*e^2+c*d^2)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,9,-65/3696*(-a*e^2+c*d^2)^5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^4/d^4/e^2+13/1848*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c^4/d^4/e/(e*x+d)+13/99*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c^2/d^2+13/308*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c^4/d^4/(e*x+d)^2+13/154*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c^3/d^3/(e*x+d)+2/11*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c/d-65/3696*(-a*e^2+c*d^2)^(11/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^5/d^5/e^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,8,-5/168*(-a*e^2+c*d^2)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^3/d^3/e^2+1/84*(-a*e^2+c*d^2)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c^3/d^3/e/(e*x+d)+2/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c/d+1/14*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c^3/d^3/(e*x+d)^2+1/7*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c^2/d^2/(e*x+d)-5/168*(-a*e^2+c*d^2)^(9/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^4/d^4/e^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,5,-5/84*(-a*e^2+c*d^2)^2*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^2/d^2/e^2+1/7*(2*c*d*e*x+a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/c/d/e+5/84*(-a*e^2+c*d^2)^5*(-c*d*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2)^(3/4)*InverseJacobiAM(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2)),sqrt(2))/sqrt(2)/c^3/d^3/e^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/(e*x+d),x,6,-1/6*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c/d/e^2+(d/e-a*e/c/d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/(15*e*x+15*d)+2/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(9/4)/c/d/(e*x+d)^2-1/6*(-a*e^2+c*d^2)^(5/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^2/d^2/e^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/(e*x+d)^2,x,5,5/3*(a-c*d^2/e^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)+2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/e/(e*x+d)-5/3*(-a*e^2+c*d^2)^(3/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c/d/e^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/(e*x+d)^3,x,5,10/3*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e^2-4/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/e/(e*x+d)^2+10/3*sqrt(-a*e^2+c*d^2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/e^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/(e*x+d)^4,x,5,-20/21*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e^2/(e*x+d)-4/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/e/(e*x+d)^3-20/21*c*d*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/e^(3/2)/sqrt(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/(e*x+d)^5,x,6,-20/77*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e^2/(e*x+d)^2+20/231*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e^2/(-a*e^2+c*d^2)/(e*x+d)-4/11*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/e/(e*x+d)^4-40/231*c^2*d^2*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/e^(3/2)/(-a*e^2+c*d^2)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/(e*x+d)^6,x,7,-4/33*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e^2/(e*x+d)^3+4/231*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e^2/(-a*e^2+c*d^2)/(e*x+d)^2+8/231*c^3*d^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/e^2/(-a*e^2+c*d^2)^2/(e*x+d)-4/15*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4)/e/(e*x+d)^5-16/231*c^3*d^3*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/e^(3/2)/(-a*e^2+c*d^2)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,6,11/30*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^3/d^3+11/35*(-a*e^2+c*d^2)*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^2/d^2+2/7*(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c/d+11/20*(-a*e^2+c*d^2)^4*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^4/d^4/e/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,5,7/15*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^2/d^2+2/5*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c/d+7/10*(-a*e^2+c*d^2)^3*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^3/d^3/e/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,4,2/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c/d+(-a*e^2+c*d^2)^2*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^2/d^2/e/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,3,sqrt(2)*(-a*e^2+c*d^2)*(-c*d*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/c/d/e/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,3,-4*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/sqrt(e)/sqrt(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,4,4/5*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(-a*e^2+c*d^2)/(e*x+d)^2-8/5*c*d*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/sqrt(e)/(-a*e^2+c*d^2)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),x,5,4/9*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(-a*e^2+c*d^2)/(e*x+d)^3+8/15*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(-a*e^2+c*d^2)^2/(e*x+d)^2-16/15*c^2*d^2*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/sqrt(e)/(-a*e^2+c*d^2)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,6,3/2*(-a*e^2+c*d^2)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^3/d^3+3/5*(-a*e^2+c*d^2)*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^2/d^2+2/5*(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c/d-3/2*sqrt(e)*(-a*e^2+c*d^2)^(5/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^4/d^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,5,5/3*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c^2/d^2+2/3*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c/d-5/3*sqrt(e)*(-a*e^2+c*d^2)^(3/2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^3/d^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,4,2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/c/d-2*sqrt(e)*sqrt(-a*e^2+c*d^2)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/c^2/d^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,3,2*sqrt(2)*(-a*e^2+c*d^2)*(-c*d*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2)^(3/4)*InverseJacobiAM(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2)),sqrt(2))/c/d/e/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,4,4/3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(-a*e^2+c*d^2)/(e*x+d)-8/3*sqrt(e)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/(-a*e^2+c*d^2)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,5,4/7*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(-a*e^2+c*d^2)/(e*x+d)^2+8/7*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(-a*e^2+c*d^2)^2/(e*x+d)-16/7*c*d*sqrt(e)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/(-a*e^2+c*d^2)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),x,6,4/11*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(-a*e^2+c*d^2)/(e*x+d)^3+40/77*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(-a*e^2+c*d^2)^2/(e*x+d)^2+80/77*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)/(-a*e^2+c*d^2)^3/(e*x+d)-160/77*c^2*d^2*sqrt(e)*(c*d*x+a*e)^(3/2)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e)),sqrt(2))/(-a*e^2+c*d^2)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4),1],
[(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,6,-4*(-a*e^2+c*d^2)^2*(e*x+d)/c^3/d^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)+17/15*e*(-a*e^2+c*d^2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^3/d^3+2/5*e*(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^2/d^2+77/10*(-a*e^2+c*d^2)^3*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^4/d^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,5,-4*(-a*e^2+c*d^2)*(e*x+d)/c^2/d^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)+2/3*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/c^2/d^2+7*(-a*e^2+c*d^2)^2*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/sqrt(2)/c^3/d^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,4,(-4*e*x-4*d)/c/d/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)+3*sqrt(2)*(-a*e^2+c*d^2)*(-c*d*e*(c*d*x+a*e)*(e*x+d)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/c^2/d^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,3,-4*(e*(c*d*x+a*e)/c/d/(e*x+d))^(1/4)*sqrt(e*x+d)*EllipticE(sin(1/2*arctan(sqrt(a*e^2-c*d^2)/sqrt(c)/sqrt(d)/sqrt(e*x+d))),sqrt(2))/sqrt(c)/sqrt(d)/sqrt(a*e^2-c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,4,(-8*c*d*e*x-4*a*e^2-4*c*d^2)/(-a*e^2+c*d^2)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)+4*sqrt(2)*(-c*d*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(-a*e^2+c*d^2)^2)^(1/4)*EllipticE(sin(1/2*arcsin((a*e^2+c*d*(2*e*x+d))/(-a*e^2+c*d^2))),sqrt(2))/(-a*e^2+c*d^2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,5,-4/(-a*e^2+c*d^2)/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)-24/5*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(-a*e^2+c*d^2)^2/(e*x+d)^2+48/5*c*d*sqrt(e)*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/(-a*e^2+c*d^2)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/4),x,6,-4/(-a*e^2+c*d^2)/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4)-40/9*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(-a*e^2+c*d^2)^2/(e*x+d)^3-16/3*c*d*e*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/4)/(-a*e^2+c*d^2)^3/(e*x+d)^2+32/3*c^2*d^2*sqrt(e)*sqrt(c*d*x+a*e)*(c*d*(e*x+d)/e/(c*d*x+a*e))^(1/4)*EllipticE(sin(1/2*arctan(sqrt(-a*e^2+c*d^2)/sqrt(e)/sqrt(c*d*x+a*e))),sqrt(2))/(-a*e^2+c*d^2)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/4),1],
[(e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,3,-(-a*e^2+c*d^2)^3*(e*x+d)^(4+m)/e^4/(4+m)+3*c*d*(-a*e^2+c*d^2)^2*(e*x+d)^(5+m)/e^4/(5+m)-3*c^2*d^2*(-a*e^2+c*d^2)*(e*x+d)^(6+m)/e^4/(6+m)+c^3*d^3*(e*x+d)^(7+m)/e^4/(7+m),1],
[(e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,3,(-a*e^2+c*d^2)^2*(e*x+d)^(3+m)/e^3/(3+m)-2*c*d*(-a*e^2+c*d^2)*(e*x+d)^(4+m)/e^3/(4+m)+c^2*d^2*(e*x+d)^(5+m)/e^3/(5+m),1],
[(e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,3,-(-a*e^2+c*d^2)*(e*x+d)^(2+m)/e^2/(2+m)+c*d*(e*x+d)^(3+m)/e^2/(3+m),1],
[(e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x,2,-(e*x+d)^m*hypergeom([1, m],[1+m],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/m,1],
[(e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x,2,-e*(e*x+d)^(-1+m)*hypergeom([2, -1+m],[m],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^2/(1-m),1],
[(e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x,2,e^2*(e*x+d)^(-2+m)*hypergeom([3, -2+m],[-1+m],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^3/(2-m),1],
[(e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x,2,-e^3*(e*x+d)^(-3+m)*hypergeom([4, -3+m],[-2+m],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)^4/(3-m),1],
[(e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,2,-(e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 5+2*p],[5+p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(4+p),1],
[(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,2,-(e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 4+2*p],[4+p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(3+p),1],
[(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,2,-(e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 3+2*p],[3+p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(2+p),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,1,-(-e*(c*d*x+a*e)/(-a*e^2+c*d^2))^(-1-p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([-p, p+1],[2+p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(p+1),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/(e*x+d),x,2,-(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 1+2*p],[p+1],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/p/(e*x+d),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/(e*x+d)^2,x,2,(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 2*p],[p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(1-p)/(e*x+d)^2,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/(e*x+d)^3,x,2,(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, -1+2*p],[-1+p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(2-p)/(e*x+d)^3,1],
[(e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,2,-(e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 2+m+2*p],[2+m+p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(1+m+p),1],
[(e*x+d)^(-5-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,5,(e*x+d)^(-5-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)/(4+p)+6*c^2*d^2*(e*x+d)^(-3-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)^3/(2+p)/(3+p)/(4+p)+6*c^3*d^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)^4/(p+1)/(2+p)/(3+p)/(4+p)/((e*x+d)^(2*p+2))+3*c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)^2/(3+p)/(4+p)/((e*x+d)^(4+2*p)),1],
[(e*x+d)^(-4-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,4,2*c*d*(e*x+d)^(-3-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)^2/(2+p)/(3+p)+2*c^2*d^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)^3/(p+1)/(2+p)/(3+p)/((e*x+d)^(2*p+2))+(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)/(3+p)/((e*x+d)^(4+2*p)),1],
[(e*x+d)^(-3-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,3,(e*x+d)^(-3-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)/(2+p)+c*d*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)^2/(p+1)/(2+p)/((e*x+d)^(2*p+2)),1],
[(e*x+d)^(-2-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,2,(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/(-a*e^2+c*d^2)/(p+1)/((e*x+d)^(2*p+2)),1],
[(e*x+d)^(-1-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x,2,(e*x+d)^(-1-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 1],[1-p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/p,1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/((e*x+d)^(2*p)),x,2,-(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)*hypergeom([1, 2],[2-p],c*d*(e*x+d)/(-a*e^2+c*d^2))/(-a*e^2+c*d^2)/(1-p)/((e*x+d)^(2*p)),1],
[(e*x+d)^m/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x,2,(e*x+d)^(-1+m)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1-m)/c/d/(1-m),1],
[(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/((e*x+d)^p),x,2,(e*x+d)^(-1-p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(p+1)/c/d/(p+1),1]]: