lst:=[[(b*x+a)^3/sqrt(d*x^2+c)/sqrt(f*x^2+e),x,9,3*a*b^2*x*sqrt(d*x^2+c)/d/sqrt(f*x^2+e)+1/2*b^3*sqrt(d*x^2+c)*sqrt(f*x^2+e)/d/f+1/2*b*(6*a^2*d*f-b^2*(c*f+d*e))*arctanh(sqrt(f)*sqrt(d*x^2+c)/sqrt(d)/sqrt(f*x^2+e))/d^(3/2)/f^(3/2)-3*a*b^2*sqrt(e)*sqrt(d*x^2+c)*EllipticE(sin(arctan(sqrt(f)*x/sqrt(e))),sqrt(1-d*e/c/f))/d/sqrt(f)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e)+a^3*sqrt(e)*sqrt(d*x^2+c)*InverseJacobiAM(arctan(sqrt(f)*x/sqrt(e)),sqrt(1-d*e/c/f))/c/sqrt(f)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e),1],
[(b*x+a)^2/sqrt(d*x^2+c)/sqrt(f*x^2+e),x,9,b^2*x*sqrt(d*x^2+c)/d/sqrt(f*x^2+e)+2*a*b*arctanh(sqrt(f)*sqrt(d*x^2+c)/sqrt(d)/sqrt(f*x^2+e))/sqrt(d)/sqrt(f)-b^2*sqrt(e)*sqrt(d*x^2+c)*EllipticE(sin(arctan(sqrt(f)*x/sqrt(e))),sqrt(1-d*e/c/f))/d/sqrt(f)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e)+a^2*sqrt(e)*sqrt(d*x^2+c)*InverseJacobiAM(arctan(sqrt(f)*x/sqrt(e)),sqrt(1-d*e/c/f))/c/sqrt(f)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e),1],
[(b*x+a)/sqrt(d*x^2+c)/sqrt(f*x^2+e),x,5,b*arctanh(sqrt(f)*sqrt(d*x^2+c)/sqrt(d)/sqrt(f*x^2+e))/sqrt(d)/sqrt(f)+a*sqrt(e)*sqrt(d*x^2+c)*InverseJacobiAM(arctan(sqrt(f)*x/sqrt(e)),sqrt(1-d*e/c/f))/c/sqrt(f)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e),1],
[1/sqrt(d*x^2+c)/sqrt(f*x^2+e),x,1,sqrt(e)*sqrt(d*x^2+c)*InverseJacobiAM(arctan(sqrt(f)*x/sqrt(e)),sqrt(1-d*e/c/f))/c/sqrt(f)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e),1],
[1/(b*x+a)/sqrt(d*x^2+c)/sqrt(f*x^2+e),x,8,-b*arctanh(sqrt(a^2*f+b^2*e)*sqrt(d*x^2+c)/sqrt(a^2*d+b^2*c)/sqrt(f*x^2+e))/sqrt(a^2*d+b^2*c)/sqrt(a^2*f+b^2*e)+a*sqrt(e)*sqrt(f)*sqrt(d*x^2+c)*InverseJacobiAM(arctan(sqrt(f)*x/sqrt(e)),sqrt(1-d*e/c/f))/c/(a^2*f+b^2*e)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e)+b^2*e^(3/2)*sqrt(d*x^2+c)*EllipticPi(sin(arctan(sqrt(f)*x/sqrt(e))),1+b^2*e/a^2/f,sqrt(1-d*e/c/f))/a/c/sqrt(f)/(a^2*f+b^2*e)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e),1],
[1/(b*x+a)^2/sqrt(d*x^2+c)/sqrt(f*x^2+e),x,10,b^2*x*sqrt(d*x^2+c)/(a^2*d+b^2*c)/(-b^2*x^2+a^2)/sqrt(f*x^2+e)-a*b^3*sqrt(d*x^2+c)*sqrt(f*x^2+e)/(a^2*d+b^2*c)/(a^2*f+b^2*e)/(-b^2*x^2+a^2)-a*b*(2*a^2*d*f+b^2*(c*f+d*e))*arctanh(sqrt(a^2*f+b^2*e)*sqrt(d*x^2+c)/sqrt(a^2*d+b^2*c)/sqrt(f*x^2+e))/(a^2*d+b^2*c)^(3/2)/(a^2*f+b^2*e)^(3/2)-b^2*sqrt(e)*sqrt(f)*sqrt(d*x^2+c)*EllipticE(sin(arctan(sqrt(f)*x/sqrt(e))),sqrt(1-d*e/c/f))/(a^2*d+b^2*c)/(a^2*f+b^2*e)/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e)+a^2*sqrt(e)*f^(3/2)*sqrt(d*x^2+c)*InverseJacobiAM(arctan(sqrt(f)*x/sqrt(e)),sqrt(1-d*e/c/f))/c/(a^2*f+b^2*e)^2/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e)+b^2*e^(3/2)*(2*a^2*d*f+b^2*(c*f+d*e))*sqrt(d*x^2+c)*EllipticPi(sin(arctan(sqrt(f)*x/sqrt(e))),1+b^2*e/a^2/f,sqrt(1-d*e/c/f))/c/(a^2*d+b^2*c)/sqrt(f)/(a^2*f+b^2*e)^2/sqrt(e*(d*x^2+c)/c/(f*x^2+e))/sqrt(f*x^2+e),1],
[(h*x+g)^m*(c*x^2+b*x+a)*(f*x^2+d)^2,x,2,(a*h^2-b*g*h+c*g^2)*(d*h^2+f*g^2)^2*(h*x+g)^(1+m)/h^7/(1+m)-(d*h^2+f*g^2)*(4*a*f*g*h^2-b*d*h^3-5*b*f*g^2*h+2*c*d*g*h^2+6*c*f*g^3)*(h*x+g)^(2+m)/h^7/(2+m)-(2*f*h*(-a*d*h^3-3*a*f*g^2*h+3*b*d*g*h^2+5*b*f*g^3)-c*(d^2*h^4+12*d*f*g^2*h^2+15*f^2*g^4))*(h*x+g)^(3+m)/h^7/(3+m)-2*f*(2*a*f*g*h^2-b*d*h^3-5*b*f*g^2*h+4*c*d*g*h^2+10*c*f*g^3)*(h*x+g)^(4+m)/h^7/(4+m)-f*(f*h*(-a*h+5*b*g)-c*(2*d*h^2+15*f*g^2))*(h*x+g)^(5+m)/h^7/(5+m)-f^2*(-b*h+6*c*g)*(h*x+g)^(6+m)/h^7/(6+m)+c*f^2*(h*x+g)^(7+m)/h^7/(7+m),1],
[(h*x+g)^2*(c*x^2+b*x+a)*(f*x^2+d)^2,x,2,a*d^2*g^2*x+1/2*d^2*g*(2*a*h+b*g)*x^2+1/3*d*(a*d*h^2+2*a*f*g^2+2*b*d*g*h+c*d*g^2)*x^3+1/4*d*(4*a*f*g*h+b*d*h^2+2*b*f*g^2+2*c*d*g*h)*x^4+1/5*(c*d*(d*h^2+2*f*g^2)+f*(2*a*d*h^2+a*f*g^2+4*b*d*g*h))*x^5+1/6*f*(2*a*f*g*h+2*b*d*h^2+b*f*g^2+4*c*d*g*h)*x^6+1/7*f*(f*h*(a*h+2*b*g)+c*(2*d*h^2+f*g^2))*x^7+1/8*f^2*h*(b*h+2*c*g)*x^8+1/9*c*f^2*h^2*x^9,1],
[(h*x+g)*(c*x^2+b*x+a)*(f*x^2+d)^2,x,2,a*d^2*g*x+1/2*d^2*(a*h+b*g)*x^2+1/3*d*(2*a*f*g+b*d*h+c*d*g)*x^3+1/4*d*(2*a*f*h+2*b*f*g+c*d*h)*x^4+1/5*f*(a*f*g+2*b*d*h+2*c*d*g)*x^5+1/6*f*(a*f*h+b*f*g+2*c*d*h)*x^6+1/7*f^2*(b*h+c*g)*x^7+1/8*c*f^2*h*x^8,1],
[(c*x^2+b*x+a)*(f*x^2+d)^2,x,2,a*d^2*x+1/3*d*(2*a*f+c*d)*x^3+1/5*f*(a*f+2*c*d)*x^5+1/7*c*f^2*x^7+1/6*b*(f*x^2+d)^3/f,1],
[(c*x^2+b*x+a)*(f*x^2+d)^2/(h*x+g),x,2,-(c*g*(d*h^2+f*g^2)^2-h*(b*(d*h^2+f*g^2)^2-a*f*g*h*(2*d*h^2+f*g^2)))*x/h^6+1/2*(c*(d*h^2+f*g^2)^2-f*h*(-a*h+b*g)*(2*d*h^2+f*g^2))*x^2/h^5-1/3*f*(a*f*g*h^2-2*b*d*h^3-b*f*g^2*h+2*c*d*g*h^2+c*f*g^3)*x^3/h^4-1/4*f*(f*h*(-a*h+b*g)-c*(2*d*h^2+f*g^2))*x^4/h^3-1/5*f^2*(-b*h+c*g)*x^5/h^2+1/6*c*f^2*x^6/h+(a*h^2-b*g*h+c*g^2)*(d*h^2+f*g^2)^2*ln(h*x+g)/h^7,1],
[(c*x^2+b*x+a)*(f*x^2+d)^2/(h*x+g)^2,x,2,(c*(d^2*h^4+6*d*f*g^2*h^2+5*f^2*g^4)+f*h*(a*h*(2*d*h^2+3*f*g^2)-4*b*(d*g*h^2+f*g^3)))*x/h^6+1/2*f*(h*(-2*a*f*g*h+2*b*d*h^2+3*b*f*g^2)-4*c*(d*g*h^2+f*g^3))*x^2/h^5-1/3*f*(f*h*(-a*h+2*b*g)-c*(2*d*h^2+3*f*g^2))*x^3/h^4-1/4*f^2*(-b*h+2*c*g)*x^4/h^3+1/5*c*f^2*x^5/h^2-(a*h^2-b*g*h+c*g^2)*(d*h^2+f*g^2)^2/h^7/(h*x+g)-(d*h^2+f*g^2)*(4*a*f*g*h^2-b*d*h^3-5*b*f*g^2*h+2*c*d*g*h^2+6*c*f*g^3)*ln(h*x+g)/h^7,1],
[(c*x^2+b*x+a)*(f*x^2+d)^2/(h*x+g)^3,x,2,-f*(3*a*f*g*h^2-2*b*d*h^3-6*b*f*g^2*h+6*c*d*g*h^2+10*c*f*g^3)*x/h^6-1/2*f*(f*h*(-a*h+3*b*g)-2*c*(d*h^2+3*f*g^2))*x^2/h^5-1/3*f^2*(-b*h+3*c*g)*x^3/h^4+1/4*c*f^2*x^4/h^3-1/2*(a*h^2-b*g*h+c*g^2)*(d*h^2+f*g^2)^2/h^7/(h*x+g)^2+(d*h^2+f*g^2)*(4*a*f*g*h^2-b*d*h^3-5*b*f*g^2*h+2*c*d*g*h^2+6*c*f*g^3)/h^7/(h*x+g)-(2*f*h*(-a*d*h^3-3*a*f*g^2*h+3*b*d*g*h^2+5*b*f*g^3)-c*(d^2*h^4+12*d*f*g^2*h^2+15*f^2*g^4))*ln(h*x+g)/h^7,1],
[(h*x)^m*(f*x^2+e*x+d)^2/(b*x^2+a)^(3/2),x,9,(b*(2*d*f+e^2)*(2+m)-a*f^2*(3+m))*(h*x)^(1+m)/b^2/h/m/(2+m)/sqrt(b*x^2+a)+2*e*f*(h*x)^(2+m)/b/h^2/(1+m)/sqrt(b*x^2+a)+f^2*(h*x)^(3+m)/b/h^3/(2+m)/sqrt(b*x^2+a)+(b^2*d^2*m*(2+m)-a*b*(2*d*f+e^2)*(m^2+3*m+2)+a^2*f^2*(m^2+4*m+3))*(h*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a/b^2/h/m/(1+m)/(2+m)/sqrt(b*x^2+a)+2*e*(d/a/(2+m)-f/(b*m+b))*(h*x)^(2+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/h^2/sqrt(b*x^2+a),1],
[(h*x)^m*(f*x^2+e*x+d)/(b*x^2+a)^(3/2),x,8,f*(h*x)^(1+m)/b/h/m/sqrt(b*x^2+a)+(b*d*m-a*f*(1+m))*(h*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a/b/h/m/(1+m)/sqrt(b*x^2+a)+e*(h*x)^(2+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1+1/2*m],[2+1/2*m],-b*x^2/a)/a/h^2/(2+m)/sqrt(b*x^2+a),1],
[(h*x)^m/(b*x^2+a)^(3/2),x,3,(h*x)^(1+m)*sqrt(1+b*x^2/a)*hypergeom([3/2, 1/2+1/2*m],[3/2+1/2*m],-b*x^2/a)/a/h/(1+m)/sqrt(b*x^2+a),1],
[(h*x)^m/(b*x^2+a)^(3/2)/(f*x^2+e*x+d),x,0,Defer(Int)((h*x)^m/(b*x^2+a)^(3/2)/(f*x^2+e*x+d),x),0],
[(h*x)^m/(b*x^2+a)^(3/2)/(f*x^2+e*x+d)^2,x,0,Defer(Int)((h*x)^m/(b*x^2+a)^(3/2)/(f*x^2+e*x+d)^2,x),0],
[x^2*sqrt(c*x^2+a)/(f*x^2+e*x+d),x,11,-e*sqrt(c*x^2+a)/f^2+1/2*x*sqrt(c*x^2+a)/f+1/2*(a*f^2+2*c*(-d*f+e^2))*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/sqrt(c)/f^3-(e*(e-sqrt(-4*d*f+e^2))*(a*f^2+c*(-2*d*f+e^2))-2*d*f*(a*f^2+c*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(e*(e+sqrt(-4*d*f+e^2))*(a*f^2+c*(-2*d*f+e^2))-2*d*f*(a*f^2+c*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[x*sqrt(c*x^2+a)/(f*x^2+e*x+d),x,11,sqrt(c*x^2+a)/f-sqrt(c)*e*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/f^2-(2*c*d*e*f-(e-sqrt(-4*d*f+e^2))*(a*f^2+c*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(2*c*d*e*f-(e+sqrt(-4*d*f+e^2))*(a*f^2+c*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[sqrt(c*x^2+a)/(f*x^2+e*x+d),x,8,sqrt(c)*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/f-sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)+sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f/sqrt(-4*d*f+e^2),1],
[sqrt(c*x^2+a)/x/(f*x^2+e*x+d),x,10,(2*a*e*f+(-a*f+c*d)*(e-sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-(2*a*e*f+(-a*f+c*d)*(e+sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))-sqrt(a)*arctanh(sqrt(c*x^2+a)/sqrt(a))/d,1],
[sqrt(c*x^2+a)/x^2/(f*x^2+e*x+d),x,19,-sqrt(c*x^2+a)/d/x-f*(2*c*d^2+a*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+f*(2*c*d^2+a*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))+sqrt(a)*e*arctanh(sqrt(c*x^2+a)/sqrt(a))/d^2,1],
[sqrt(c*x^2+a)/x^3/(f*x^2+e*x+d),x,23,-1/2*sqrt(c*x^2+a)/d/x^2+e*sqrt(c*x^2+a)/d^2/x+f*(2*e*(c*d^2+a*(-2*d*f+e^2))-(e-sqrt(-4*d*f+e^2))*(c*d^2+a*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-f*(2*e*(c*d^2+a*(-2*d*f+e^2))-(e+sqrt(-4*d*f+e^2))*(c*d^2+a*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))-1/2*c*arctanh(sqrt(c*x^2+a)/sqrt(a))/sqrt(a)/d-sqrt(a)*(-d*f+e^2)*arctanh(sqrt(c*x^2+a)/sqrt(a))/d^3,1],
[x^2*(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,15,-e*(a*f^2+c*(-2*d*f+e^2))*sqrt(c*x^2+a)/f^4+1/8*(5*a*f^2+4*c*(-d*f+e^2))*x*sqrt(c*x^2+a)/f^3+1/4*c*x^3*sqrt(c*x^2+a)/f-1/3*e*(c*x^2+a)^(3/2)/f^2+1/8*(3*a^2*f^4+12*a*c*f^2*(-d*f+e^2)+8*c^2*(d^2*f^2-3*d*e^2*f+e^4))*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/sqrt(c)/f^5-(e*(e-sqrt(-4*d*f+e^2))*(a*f^2+c*(-3*d*f+e^2))*(a*f^2+c*(-d*f+e^2))-2*d*f*(a^2*f^4+2*a*c*f^2*(-d*f+e^2)+c^2*(d^2*f^2-3*d*e^2*f+e^4)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^5/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(e*(e+sqrt(-4*d*f+e^2))*(a*f^2+c*(-3*d*f+e^2))*(a*f^2+c*(-d*f+e^2))-2*d*f*(a^2*f^4+2*a*c*f^2*(-d*f+e^2)+c^2*(d^2*f^2-3*d*e^2*f+e^4)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^5/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[x*(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,13,(a*f^2+c*(-d*f+e^2))*sqrt(c*x^2+a)/f^3-1/2*c*e*x*sqrt(c*x^2+a)/f^2+1/3*(c*x^2+a)^(3/2)/f-1/2*sqrt(c)*e*(3*a*f^2+2*c*(-2*d*f+e^2))*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/f^4-(2*c*d*e*f*(2*a*f^2+c*(-2*d*f+e^2))-(e-sqrt(-4*d*f+e^2))*(a^2*f^4+2*a*c*f^2*(-d*f+e^2)+c^2*(d^2*f^2-3*d*e^2*f+e^4)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^4/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(2*c*d*e*f*(2*a*f^2+c*(-2*d*f+e^2))-(e+sqrt(-4*d*f+e^2))*(a^2*f^4+2*a*c*f^2*(-d*f+e^2)+c^2*(d^2*f^2-3*d*e^2*f+e^4)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^4/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,10,-1/2*c*(-f*x+2*e)*sqrt(c*x^2+a)/f^2+1/2*sqrt(c)*(3*a*f^2-2*c*d*f+2*c*e^2)*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/f^3+(4*a*c*d*f^3-2*a^2*f^4+2*c^2*d*f*(-d*f+e^2)-c*e*(e-sqrt(-4*d*f+e^2))*(2*a*f^2+c*(-2*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-(4*a*c*d*f^3-2*a^2*f^4+2*c^2*d*f*(-d*f+e^2)-c*e*(e+sqrt(-4*d*f+e^2))*(2*a*f^2+c*(-2*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[(c*x^2+a)^(3/2)/x/(f*x^2+e*x+d),x,13,c*sqrt(c*x^2+a)/f-c^(3/2)*e*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/f^2-(2*e*f*(-a*f+c*d)*(a*f+c*d)-(e-sqrt(-4*d*f+e^2))*(2*a*c*d*f^2-a^2*f^3+c^2*d*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/f^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(2*e*f*(-a*f+c*d)*(a*f+c*d)-(e+sqrt(-4*d*f+e^2))*(2*a*c*d*f^2-a^2*f^3+c^2*d*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/f^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))-a^(3/2)*arctanh(sqrt(c*x^2+a)/sqrt(a))/d,1],
[(c*x^2+a)^(3/2)/x^2/(f*x^2+e*x+d),x,23,-a*sqrt(c*x^2+a)/d/x+3/2*a*sqrt(c)*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/d+1/2*sqrt(c)*(-3*a*f+2*c*d)*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/d/f-(e*(-a*f+c*d)*(a*f+c*d)*(e-sqrt(-4*d*f+e^2))-2*f*(c^2*d^3-2*a*c*d^2*f-a^2*f*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/f/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(e*(-a*f+c*d)*(a*f+c*d)*(e+sqrt(-4*d*f+e^2))-2*f*(c^2*d^3-2*a*c*d^2*f-a^2*f*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/f/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))+a^(3/2)*e*arctanh(sqrt(c*x^2+a)/sqrt(a))/d^2,1],
[(c*x^2+a)^(3/2)/x^3/(f*x^2+e*x+d),x,28,c*sqrt(c*x^2+a)/d+a*(-d*f+e^2)*sqrt(c*x^2+a)/d^3-(c*d^2+a*(-d*f+e^2))*sqrt(c*x^2+a)/d^3-1/2*a*sqrt(c*x^2+a)/d/x^2+a*e*sqrt(c*x^2+a)/d^2/x+(2*a*e*f*(2*c*d^2+a*(-2*d*f+e^2))+(e-sqrt(-4*d*f+e^2))*(c^2*d^3-2*a*c*d^2*f-a^2*f*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-(2*a*e*f*(2*c*d^2+a*(-2*d*f+e^2))+(e+sqrt(-4*d*f+e^2))*(c^2*d^3-2*a*c*d^2*f-a^2*f*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))-3/2*sqrt(a)*c*arctanh(sqrt(c*x^2+a)/sqrt(a))/d-a^(3/2)*(-d*f+e^2)*arctanh(sqrt(c*x^2+a)/sqrt(a))/d^3,1],
[x^3/sqrt(c*x^2+a)/(f*x^2+e*x+d),x,10,sqrt(c*x^2+a)/c/f-e*arctanh(sqrt(c)*x/sqrt(c*x^2+a))/sqrt(c)/f^2-(2*d*e*f-(-d*f+e^2)*(e-sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(2*d*e*f-(-d*f+e^2)*(e+sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[x^2/sqrt(c*x^2+a)/(f*x^2+e*x+d),x,9,arctanh(sqrt(c)*x/sqrt(c*x^2+a))/sqrt(c)/f-(e^2-2*d*f-e*sqrt(-4*d*f+e^2))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-(2*d*f-e*(e+sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[x/sqrt(c*x^2+a)/(f*x^2+e*x+d),x,5,(e-sqrt(-4*d*f+e^2))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-(e+sqrt(-4*d*f+e^2))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[1/sqrt(c*x^2+a)/(f*x^2+e*x+d),x,5,-sqrt(2)*f*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+sqrt(2)*f*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[1/x/sqrt(c*x^2+a)/(f*x^2+e*x+d),x,10,f*(e+sqrt(-4*d*f+e^2))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-f*(e-sqrt(-4*d*f+e^2))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))-arctanh(sqrt(c*x^2+a)/sqrt(a))/sqrt(a)/d,1],
[1/x^2/sqrt(c*x^2+a)/(f*x^2+e*x+d),x,11,-sqrt(c*x^2+a)/a/d/x-f*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+f*(e^2-2*d*f-e*sqrt(-4*d*f+e^2))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))+e*arctanh(sqrt(c*x^2+a)/sqrt(a))/sqrt(a)/d^2,1],
[1/x^3/sqrt(c*x^2+a)/(f*x^2+e*x+d),x,15,-1/2*sqrt(c*x^2+a)/a/d/x^2+e*sqrt(c*x^2+a)/a/d^2/x+f*(2*e^3-4*d*e*f-(-d*f+e^2)*(e-sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-f*(2*e^3-4*d*e*f-(-d*f+e^2)*(e+sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))+1/2*c*arctanh(sqrt(c*x^2+a)/sqrt(a))/a^(3/2)/d-(-d*f+e^2)*arctanh(sqrt(c*x^2+a)/sqrt(a))/sqrt(a)/d^3,1],
[x^3/(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,6,a*(-c*e*x-a*f+c*d)/c/(a*c*e^2+(-a*f+c*d)^2)/sqrt(c*x^2+a)-(2*a*d*e*f-(e-sqrt(-4*d*f+e^2))*(c*d^2+a*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+(2*a*d*e*f-(e+sqrt(-4*d*f+e^2))*(c*d^2+a*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[x^2/(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,6,-(a*e+(-a*f+c*d)*x)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(c*x^2+a)-f*(2*d*(-a*f+c*d)+a*e*(e-sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+f*(2*d*(-a*f+c*d)+a*e*(e+sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[x/(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,6,-(-c*e*x-a*f+c*d)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(c*x^2+a)+f*(2*c*d*e-(-a*f+c*d)*(e-sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-f*(2*c*d*e-(-a*f+c*d)*(e+sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[1/(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,6,c*(a*e+(-a*f+c*d)*x)/a/(a*c*e^2+(-a*f+c*d)^2)/sqrt(c*x^2+a)-f*(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))+f*(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))),1],
[1/x/(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,12,1/a/d/sqrt(c*x^2+a)-(a*(a*f^2+c*(-d*f+e^2))+c^2*d*e*x)/a/d/(a*c*e^2+(-a*f+c*d)^2)/sqrt(c*x^2+a)+f*(2*e*(a*f^2+c*(-2*d*f+e^2))-(e-sqrt(-4*d*f+e^2))*(a*f^2+c*(-d*f+e^2)))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-f*(2*e*(a*f^2+c*(-2*d*f+e^2))-(e+sqrt(-4*d*f+e^2))*(a*f^2+c*(-d*f+e^2)))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))-arctanh(sqrt(c*x^2+a)/sqrt(a))/a^(3/2)/d,1],
[1/x^2/(c*x^2+a)^(3/2)/(f*x^2+e*x+d),x,14,-e/a/d^2/sqrt(c*x^2+a)+1/a/d/x/sqrt(c*x^2+a)+(a*e*(a*f^2+c*(-2*d*f+e^2))+c*d*(a*f^2+c*(-d*f+e^2))*x)/a/d^2/(a*c*e^2+(-a*f+c*d)^2)/sqrt(c*x^2+a)-2*sqrt(c*x^2+a)/a^2/d/x+f*(e*(e-sqrt(-4*d*f+e^2))*(a*f^2+c*(-2*d*f+e^2))-2*a*f^2*(-d*f+e^2)-2*c*(d^2*f^2-3*d*e^2*f+e^4))*arctanh((2*a*f-c*(e-sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2)))-f*(e*(e+sqrt(-4*d*f+e^2))*(a*f^2+c*(-2*d*f+e^2))-2*a*f^2*(-d*f+e^2)-2*c*(d^2*f^2-3*d*e^2*f+e^4))*arctanh((2*a*f-c*(e+sqrt(-4*d*f+e^2))*x)/sqrt(2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))/sqrt(c*x^2+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/(a*c*e^2+(-a*f+c*d)^2)/sqrt(2*a*f^2+c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))+e*arctanh(sqrt(c*x^2+a)/sqrt(a))/a^(3/2)/d^2,1],
[x^3*sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,12,-1/24*(8*a*c*f-3*b^2*f+24*c^2*d)*sqrt(c*x^2+b*x+a)/c^2/f^2-1/12*b*x*sqrt(c*x^2+b*x+a)/c/f-1/3*x^2*sqrt(c*x^2+b*x+a)/f-1/16*b*(-4*a*c*f+b^2*f+8*c^2*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/f^2-1/2*d*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(5/2)+1/2*d*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(5/2),1],
[x^2*sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,11,-1/4*b*sqrt(c*x^2+b*x+a)/c/f-1/2*x*sqrt(c*x^2+b*x+a)/f+1/8*(b^2-4*c*(a*f+2*c*d)/f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f+1/2*sqrt(d)*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^2+1/2*sqrt(d)*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^2,1],
[x*sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,10,-sqrt(c*x^2+b*x+a)/f-1/2*b*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f-1/2*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(3/2)+1/2*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(3/2),1],
[sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,8,-sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/f+1/2*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f+1/2*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f,1],
[sqrt(c*x^2+b*x+a)/x/(-f*x^2+d),x,9,-sqrt(a)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d-1/2*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/sqrt(f)+1/2*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/sqrt(f),1],
[sqrt(c*x^2+b*x+a)/x^2/(-f*x^2+d),x,16,-sqrt(c*x^2+b*x+a)/d/x-1/2*b*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d+1/2*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2)+1/2*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2),1],
[sqrt(c*x^2+b*x+a)/x^3/(-f*x^2+d),x,21,-1/4*(b*x+2*a)*sqrt(c*x^2+b*x+a)/a/d/x^2+1/8*(-4*a*c+b^2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)/d-sqrt(a)*f*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d^2-1/2*sqrt(f)*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^2+1/2*sqrt(f)*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^2,1],
[x^3*(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,14,-1/1920*(1920*c^4*d^2+2560*a*c^3*d*f+45*b^4*f^2-300*a*b^2*c*f^2+48*c^2*f*(8*a^2*f+5*b^2*d))*sqrt(c*x^2+b*x+a)/c^3/f^3-1/960*b*(84*a*c*f-15*b^2*f+560*c^2*d)*x*sqrt(c*x^2+b*x+a)/c^2/f^2-1/240*(96*a*c*f+3*b^2*f+80*c^2*d)*x^2*sqrt(c*x^2+b*x+a)/c/f^2-11/40*b*x^3*sqrt(c*x^2+b*x+a)/f-1/5*c*x^4*sqrt(c*x^2+b*x+a)/f-1/256*b*(384*c^4*d^2+192*a*c^3*d*f-3*b^4*f^2+24*a*b^2*c*f^2-16*c^2*f*(3*a^2*f+b^2*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2)/f^3-1/2*d*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(7/2)+1/2*d*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(7/2),1],
[x^2*(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,13,-1/64*b*(20*a*c*f-3*b^2*f+80*c^2*d)*sqrt(c*x^2+b*x+a)/c^2/f^2-1/32*(20*a*c*f+b^2*f+16*c^2*d)*x*sqrt(c*x^2+b*x+a)/c/f^2-3/8*b*x^2*sqrt(c*x^2+b*x+a)/f-1/4*c*x^3*sqrt(c*x^2+b*x+a)/f-1/128*(128*c^4*d^2+192*a*c^3*d*f+3*b^4*f^2-24*a*b^2*c*f^2+48*c^2*f*(a^2*f+b^2*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/f^3+1/2*sqrt(d)*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^3+1/2*sqrt(d)*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^3,1],
[x*(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,12,-1/8*(8*a*c*f+b^2*f+8*c^2*d)*sqrt(c*x^2+b*x+a)/c/f^2-1/4*b*x*sqrt(c*x^2+b*x+a)/f-1/3*(c*x^2+b*x+a)^(3/2)/f-1/16*b*(12*a*c*f-b^2*f+24*c^2*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f^2-1/2*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(5/2)+1/2*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(5/2),1],
[(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,10,-1/4*(2*c*x+5*b)*sqrt(c*x^2+b*x+a)/f-1/8*(12*a*c*f+3*b^2*f+8*c^2*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f^2+1/2*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f^2+1/2*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f^2,1],
[(c*x^2+b*x+a)^(3/2)/x/(-f*x^2+d),x,14,-c*sqrt(c*x^2+b*x+a)/f-a^(3/2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d-3/2*b*sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/f-1/2*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/f^(3/2)+1/2*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/f^(3/2),1],
[(c*x^2+b*x+a)^(3/2)/x^2/(-f*x^2+d),x,19,3/4*(2*c*x+3*b)*sqrt(c*x^2+b*x+a)/d-1/4*(2*c*x+5*b)*sqrt(c*x^2+b*x+a)/d-(c*x^2+b*x+a)^(3/2)/d/x-3/2*sqrt(a)*b*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d+3/8*(4*a*c+b^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/d-1/8*(12*a*c*f+3*b^2*f+8*c^2*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/d/f+1/2*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2)/f+1/2*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2)/f,1],
[(c*x^2+b*x+a)^(3/2)/x^3/(-f*x^2+d),x,28,-1/8*(8*a*c*f+b^2*f+8*c^2*d)*sqrt(c*x^2+b*x+a)/c/d^2-1/4*b*f*x*sqrt(c*x^2+b*x+a)/d^2-3/4*(-2*c*x+b)*sqrt(c*x^2+b*x+a)/d/x+1/8*f*(2*b*c*x+8*a*c+b^2)*sqrt(c*x^2+b*x+a)/c/d^2-1/2*(c*x^2+b*x+a)^(3/2)/d/x^2-3/8*(4*a*c+b^2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d-a^(3/2)*f*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d^2+3/2*b*sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/d-1/16*b*(-12*a*c+b^2)*f*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/d^2-1/16*b*(12*a*c*f-b^2*f+24*c^2*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/d^2-1/2*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^2/sqrt(f)+1/2*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^2/sqrt(f),1],
[(c*x^2+b*x+a)^(3/2)/(-x^2+1),x,10,-1/4*(2*c*x+5*b)*sqrt(c*x^2+b*x+a)-1/2*(a-b+c)^(3/2)*arctanh(1/2*(2*a-b+(b-2*c)*x)/sqrt(a-b+c)/sqrt(c*x^2+b*x+a))-1/8*(12*a*c+3*b^2+8*c^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)+1/2*(a+b+c)^(3/2)*arctanh(1/2*(2*a+b+(b+2*c)*x)/sqrt(a+b+c)/sqrt(c*x^2+b*x+a)),1],
[sqrt(x^2-x-1)/(-x^2+1),x,8,-1/2*arctan(1/2*(3-x)/sqrt(x^2-x-1))+arctanh(1/2*(1-2*x)/sqrt(x^2-x-1))+1/2*arctanh(1/2*(1+3*x)/sqrt(x^2-x-1)),1],
[(x^2+x)^(3/2)/(x^2+1),x,10,1/4*(5+2*x)*sqrt(x^2+x)+sqrt(1+sqrt(2))*arctan((1+sqrt(2)-x)/sqrt(2+2*sqrt(2))/sqrt(x^2+x))-sqrt(-1+sqrt(2))*arctanh((1-sqrt(2)-x)/sqrt(-2+2*sqrt(2))/sqrt(x^2+x))-5/4*arctanh(x/sqrt(x^2+x)),1],
[x^4/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,11,3/4*b*sqrt(c*x^2+b*x+a)/c^2/f-1/2*x*sqrt(c*x^2+b*x+a)/c/f-1/8*(-4*a*c*f+3*b^2*f+8*c^2*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/f^2+1/2*d^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^2/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*d^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^2/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[x^3/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,10,-sqrt(c*x^2+b*x+a)/c/f+1/2*b*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f-1/2*d*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(3/2)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*d*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f^(3/2)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[x^2/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,9,-arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f+1/2*sqrt(d)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*sqrt(d)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[x/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,5,-1/2*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(f)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(f)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[1/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,5,1/2*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[1/x/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,9,-arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d-1/2*sqrt(f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*sqrt(f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[1/x^2/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,10,-sqrt(c*x^2+b*x+a)/a/d/x+1/2*b*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)/d+1/2*f*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*f*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[1/x^3/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,13,-1/2*sqrt(c*x^2+b*x+a)/a/d/x^2+3/4*b*sqrt(c*x^2+b*x+a)/a^2/d/x-1/8*(-4*a*c+3*b^2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(5/2)/d-f*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d^2-1/2*f^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^2/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*f^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^2/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[x^4/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,10,2*(a*b*(b^2*d-a*(a*f+3*c*d))+(b^4*d+2*a^2*c*(a*f+c*d)-a*b^2*(a*f+4*c*d))*x)/c/(-4*a*c+b^2)/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)-arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f+1/2*d^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*d^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/f/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[x^3/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,6,(-2*a*(b^2*d-2*a*(a*f+c*d))-2*b*(b^2*d-a*(a*f+3*c*d))*x)/(-4*a*c+b^2)/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)-1/2*d*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(f)/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*d*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(f)/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[x^2/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,6,2*(a*b*(-a*f+c*d)+c*(b^2*d-2*a*(a*f+c*d))*x)/(-4*a*c+b^2)/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)+1/2*sqrt(d)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*sqrt(d)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[x/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,6,(-2*a*(2*a*c*f-b^2*f+2*c^2*d)-2*b*c*(-a*f+c*d)*x)/(-4*a*c+b^2)/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)-1/2*sqrt(f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*sqrt(f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[1/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,6,(-2*b*(b^2*f-c*(3*a*f+c*d))+2*c*(2*a*c*f-b^2*f+2*c^2*d)*x)/(-4*a*c+b^2)/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)+1/2*f*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*f*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[1/x/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,12,2*(b*c*x-2*a*c+b^2)/a/(-4*a*c+b^2)/d/sqrt(c*x^2+b*x+a)-2*f*(a*(2*a*c*f-b^2*f+2*c^2*d)+b*c*(-a*f+c*d)*x)/(-4*a*c+b^2)/d/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)-arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)/d-1/2*f^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*f^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[1/x^2/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,12,2*(b*c*x-2*a*c+b^2)/a/(-4*a*c+b^2)/d/x/sqrt(c*x^2+b*x+a)-2*f*(b*(b^2*f-c*(3*a*f+c*d))-c*(2*a*c*f-b^2*f+2*c^2*d)*x)/(-4*a*c+b^2)/d/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)-(-8*a*c+3*b^2)*sqrt(c*x^2+b*x+a)/a^2/(-4*a*c+b^2)/d/x+3/2*b*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(5/2)/d+1/2*f^2*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2)/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*f^2*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/d^(3/2)/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[(B*x+A)*(c*x^2+b*x+a)/(f*x^2+d),x,5,(A*c+B*b)*x/f+1/2*B*c*x^2/f-(-A*a*f+A*c*d+B*b*d)*arctan(sqrt(f)*x/sqrt(d))/sqrt(d)/f^(3/2)-1/2*(-A*b*f-B*a*f+B*c*d)*ln(f*x^2+d)/f^2,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(f*x^2+d),x,5,(A*b^2*f-A*c*(-2*a*f+c*d)-b*B*(-2*a*f+2*c*d))*x/f^2+1/2*(2*A*b*c*f-B*(-2*a*c*f-b^2*f+c^2*d))*x^2/f^2+1/3*c*(A*c+2*B*b)*x^3/f+1/4*B*c^2*x^4/f-(A*b^2*d*f-2*b*B*d*(-a*f+c*d)-A*(-a*f+c*d)^2)*arctan(sqrt(f)*x/sqrt(d))/sqrt(d)/f^(5/2)-1/2*(2*A*b*f*(-a*f+c*d)-B*(c^2*d^2-2*a*c*d*f-f*(-a^2*f+b^2*d)))*ln(f*x^2+d)/f^3,1],
[(B*x+A)*(c*x^2+b*x+a)^3/(f*x^2+d),x,5,-(b^3*B*d*f+3*A*b^2*f*(-a*f+c*d)-3*b*B*(-a*f+c*d)^2-A*c*(3*a^2*f^2-3*a*c*d*f+c^2*d^2))*x/f^3-1/2*(A*b*f*(-6*a*c*f-b^2*f+3*c^2*d)-B*(c^3*d^2-3*a*c^2*d*f+3*a*b^2*f^2-3*c*f*(-a^2*f+b^2*d)))*x^2/f^3+1/3*(b^3*B*f+3*A*b^2*c*f-A*c^2*(-3*a*f+c*d)-3*b*B*c*(-2*a*f+c*d))*x^3/f^2+1/4*c*(3*A*b*c*f-B*(-3*a*c*f-3*b^2*f+c^2*d))*x^4/f^2+1/5*c^2*(A*c+3*B*b)*x^5/f+1/6*B*c^3*x^6/f+(b^3*B*d^2*f+3*A*b^2*d*f*(-a*f+c*d)-3*b*B*d*(-a*f+c*d)^2-A*(-a*f+c*d)^3)*arctan(sqrt(f)*x/sqrt(d))/sqrt(d)/f^(7/2)+1/2*(A*b*f*(3*c^2*d^2-6*a*c*d*f-f*(-3*a^2*f+b^2*d))-B*(-a*f+c*d)*(c^2*d^2-2*a*c*d*f-f*(-a^2*f+3*b^2*d)))*ln(f*x^2+d)/f^4,1],
[(B*x+A)/(c*x^2+b*x+a)/(f*x^2+d),x,8,sqrt(f)*(A*a*f-A*c*d+B*b*d)*arctan(sqrt(f)*x/sqrt(d))/sqrt(d)/(c^2*d^2-2*a*c*d*f+f*(a^2*f+b^2*d))-(A*b^2*f+2*A*c*(-a*f+c*d)-b*B*(a*f+c*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(c^2*d^2-2*a*c*d*f+f*(a^2*f+b^2*d))+(A*b*f-B*a*f+B*c*d)*ln(c*x^2+b*x+a)/(2*c^2*d^2-4*a*c*d*f+2*f*(a^2*f+b^2*d))-(A*b*f-B*a*f+B*c*d)*ln(f*x^2+d)/(2*c^2*d^2-4*a*c*d*f+2*f*(a^2*f+b^2*d)),1],
[(B*x+A)/(c*x^2+b*x+a)^2/(f*x^2+d),x,10,(A*b*c*(a*f+c*d)-(A*b-B*a)*(-2*a*c*f+b^2*f+2*c^2*d)-c*(A*b^2*f+2*A*c*(-a*f+c*d)-b*B*(a*f+c*d))*x)/(-4*a*c+b^2)/(b^2*d*f+(-a*f+c*d)^2)/(c*x^2+b*x+a)-f^(3/2)*(A*b^2*d*f+2*b*B*d*(-a*f+c*d)-A*(-a*f+c*d)^2)*arctan(sqrt(f)*x/sqrt(d))/sqrt(d)/(c^2*d^2-2*a*c*d*f+f*(a^2*f+b^2*d))^2-(b^5*B*d*f^2-2*A*b^4*f^2*(-a*f+c*d)-4*A*c^2*(-3*a*f+c*d)*(-a*f+c*d)^2+b^3*B*f*(-a^2*f^2-4*a*c*d*f+5*c^2*d^2)-4*A*b^2*c*f*(3*a^2*f^2-3*a*c*d*f+2*c^2*d^2)+2*b*B*c*(3*a^3*f^3+3*a^2*c*d*f^2-7*a*c^2*d^2*f+c^3*d^3))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(c^2*d^2-2*a*c*d*f+f*(a^2*f+b^2*d))^2-1/2*f*(2*A*b*f*(-a*f+c*d)+B*(c^2*d^2-2*a*c*d*f-f*(-a^2*f+b^2*d)))*ln(c*x^2+b*x+a)/(c^2*d^2-2*a*c*d*f+f*(a^2*f+b^2*d))^2+1/2*f*(2*A*b*f*(-a*f+c*d)+B*(c^2*d^2-2*a*c*d*f-f*(-a^2*f+b^2*d)))*ln(f*x^2+d)/(c^2*d^2-2*a*c*d*f+f*(a^2*f+b^2*d))^2,1],
[(B*x+A)*sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,10,-B*sqrt(c*x^2+b*x+a)/f-1/2*(2*A*c+B*b)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f-1/2*(B*sqrt(d)-A*sqrt(f))*sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f^(3/2)+1/2*(B*sqrt(d)+A*sqrt(f))*sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f^(3/2),1],
[(B*x+A)*(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,12,-1/8*(10*A*b*c*f+B*(8*a*c*f+b^2*f+8*c^2*d))*sqrt(c*x^2+b*x+a)/c/f^2-1/4*(2*A*c+B*b)*x*sqrt(c*x^2+b*x+a)/f-1/3*B*(c*x^2+b*x+a)^(3/2)/f+1/16*(b^3*B*f-6*A*b^2*c*f-12*b*B*c*(a*f+2*c*d)-8*A*c^2*(3*a*f+2*c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f^2-1/2*(B*sqrt(d)-A*sqrt(f))*(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f^(5/2)+1/2*(B*sqrt(d)+A*sqrt(f))*(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/f^(5/2),1],
[(B*x+A)/sqrt(c*x^2+b*x+a)/(-f*x^2+d),x,5,-1/2*(B-A*sqrt(f)/sqrt(d))*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(f)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)+1/2*(B+A*sqrt(f)/sqrt(d))*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(f)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f),1],
[(B*x+A)/(c*x^2+b*x+a)^(3/2)/(-f*x^2+d),x,6,(-2*A*b*c*(-a*f+c*d)+2*(A*b-B*a)*(2*a*c*f-b^2*f+2*c^2*d)-2*c*(A*b^2*f+b*B*(-a*f+c*d)-2*A*c*(a*f+c*d))*x)/(-4*a*c+b^2)/(b^2*d*f-(a*f+c*d)^2)/sqrt(c*x^2+b*x+a)-1/2*(B*sqrt(d)-A*sqrt(f))*sqrt(f)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(3/2)+1/2*(B*sqrt(d)+A*sqrt(f))*sqrt(f)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(3/2),1],
[(B*x+A)/(c*x^2+b*x+a)^(5/2)/(-f*x^2+d),x,7,1/3*(-2*A*b*c*(-a*f+c*d)+2*(A*b-B*a)*(2*a*c*f-b^2*f+2*c^2*d)-2*c*(A*b^2*f+b*B*(-a*f+c*d)-2*A*c*(a*f+c*d))*x)/(-4*a*c+b^2)/(b^2*d*f-(a*f+c*d)^2)/(c*x^2+b*x+a)^(3/2)+2/3*(a*f*(2*a*c*f-b^2*f+2*c^2*d)*(A*b^3*f-4*A*b*c*(-a*f+2*c*d)+b^2*B*(-a*f+7*c*d)-12*a*B*c*(a*f+c*d))+b*(3*a*c*f-b^2*f+c^2*d)*(3*b^3*B*d*f-7*A*b^2*f*(a*f+c*d)-4*b*B*(-a^2*f^2+3*a*c*d*f+c^2*d^2)+4*A*c*(5*a^2*f^2+7*a*c*d*f+2*c^2*d^2))+c*(b*f*(-a*f+c*d)*(A*b^3*f-4*A*b*c*(-a*f+2*c*d)+b^2*B*(-a*f+7*c*d)-12*a*B*c*(a*f+c*d))+(2*a*c*f-b^2*f+2*c^2*d)*(3*b^3*B*d*f-7*A*b^2*f*(a*f+c*d)-4*b*B*(-a^2*f^2+3*a*c*d*f+c^2*d^2)+4*A*c*(5*a^2*f^2+7*a*c*d*f+2*c^2*d^2)))*x)/(-4*a*c+b^2)^2/(c^2*d^2+2*a*c*d*f-f*(-a^2*f+b^2*d))^2/sqrt(c*x^2+b*x+a)-1/2*(B*sqrt(d)-A*sqrt(f))*f^(3/2)*arctanh(1/2*(b*sqrt(d)-2*a*sqrt(f)+(2*c*sqrt(d)-b*sqrt(f))*x)/sqrt(c*d-b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/(c*d-b*sqrt(d)*sqrt(f)+a*f)^(5/2)+1/2*(B*sqrt(d)+A*sqrt(f))*f^(3/2)*arctanh(1/2*(b*sqrt(d)+2*a*sqrt(f)+(2*c*sqrt(d)+b*sqrt(f))*x)/sqrt(c*d+b*sqrt(d)*sqrt(f)+a*f)/sqrt(c*x^2+b*x+a))/sqrt(d)/(c*d+b*sqrt(d)*sqrt(f)+a*f)^(5/2),1],
[(1+2*x)/(x^2-1)/sqrt(x^2+x-1),x,5,-1/2*arctan(1/2*(3+x)/sqrt(x^2+x-1))+3/2*arctanh(1/2*(1-3*x)/sqrt(x^2+x-1)),1],
[(1+2*x)/(x^2+1)/sqrt(x^2+x-1),x,5,-sqrt(1+1/2*sqrt(5))*arctan((5+2*sqrt(5)-sqrt(5)*x)/sqrt(20+10*sqrt(5))/sqrt(x^2+x-1))+sqrt(-1+1/2*sqrt(5))*arctanh((5-2*sqrt(5)+sqrt(5)*x)/sqrt(-20+10*sqrt(5))/sqrt(x^2+x-1)),1],
[(b*x+a-c)/(x^2+1)/sqrt(c*x^2+b*x+a),x,5,-sqrt(a^2+b^2+c*(c-sqrt(a^2-2*a*c+b^2+c^2))-a*(2*c-sqrt(a^2-2*a*c+b^2+c^2)))*arctan((b*sqrt(a^2-2*a*c+b^2+c^2)-(b^2+(a-c)*(a-c+sqrt(a^2-2*a*c+b^2+c^2)))*x)/sqrt(2)/(a^2-2*a*c+b^2+c^2)^(1/4)/sqrt(a^2+b^2+c*(c-sqrt(a^2-2*a*c+b^2+c^2))-a*(2*c-sqrt(a^2-2*a*c+b^2+c^2)))/sqrt(c*x^2+b*x+a))/sqrt(2)/(a^2-2*a*c+b^2+c^2)^(1/4)-sqrt(a^2+b^2+c*(c+sqrt(a^2-2*a*c+b^2+c^2))-a*(2*c+sqrt(a^2-2*a*c+b^2+c^2)))*arctanh((b*sqrt(a^2-2*a*c+b^2+c^2)+(b^2+(a-c)*(a-c-sqrt(a^2-2*a*c+b^2+c^2)))*x)/sqrt(2)/(a^2-2*a*c+b^2+c^2)^(1/4)/sqrt(a^2+b^2-2*a*c+c^2-(a-c)*sqrt(a^2-2*a*c+b^2+c^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/(a^2-2*a*c+b^2+c^2)^(1/4),1],
[(B*x+A)*(c*x^2+b*x+a)/(f*x^2+e*x+d),x,6,-(-A*c*f-B*b*f+B*c*e)*x/f^2+1/2*B*c*x^2/f-(B*f*(-a*e*f-2*b*d*f+b*e^2)-B*c*(-3*d*e*f+e^3)+A*f*(2*a*f^2-b*e*f-2*c*d*f+c*e^2))*arctanh((2*f*x+e)/sqrt(-4*d*f+e^2))/f^3/sqrt(-4*d*f+e^2)-1/2*(A*f*(-b*f+c*e)-B*(a*f^2-b*e*f-c*d*f+c*e^2))*ln(f*x^2+e*x+d)/f^3,1],
[(B*x+A)*(c*x^2+b*x+a)^2/(f*x^2+e*x+d),x,6,(B*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))+A*f*(b^2*f^2-2*c*f*(-a*f+b*e)+c^2*(-d*f+e^2)))*x/f^4-1/2*(A*c*f*(-2*b*f+c*e)-B*(b^2*f^2-2*c*f*(-a*f+b*e)+c^2*(-d*f+e^2)))*x^2/f^3-1/3*c*(-A*c*f-2*B*b*f+B*c*e)*x^3/f^2+1/4*B*c^2*x^4/f-(A*f*(c^2*(2*d^2*f^2-4*d*e^2*f+e^4)-f^2*(2*a*b*e*f-2*a^2*f^2-b^2*(-2*d*f+e^2))+2*c*f*(a*f*(-2*d*f+e^2)-b*(-3*d*e*f+e^3)))-B*(c^2*(5*d^2*e*f^2-5*d*e^3*f+e^5)+f^2*(a^2*e*f^2-2*a*b*f*(-2*d*f+e^2)+b^2*(-3*d*e*f+e^3))+2*c*f*(a*e*f*(-3*d*f+e^2)-b*(2*d^2*f^2-4*d*e^2*f+e^4))))*arctanh((2*f*x+e)/sqrt(-4*d*f+e^2))/f^5/sqrt(-4*d*f+e^2)+1/2*(A*f*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))+B*(c^2*(d^2*f^2-3*d*e^2*f+e^4)-f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+2*c*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3))))*ln(f*x^2+e*x+d)/f^5,1],
[(B*x+A)/(c*x^2+b*x+a)/(f*x^2+e*x+d),x,9,-(A*b^2*f+2*c*(-A*a*f+A*c*d+B*a*e)-b*(A*c*e+B*a*f+B*c*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(c^2*d^2-b*c*d*e+f*(a^2*f-a*b*e+b^2*d)+a*c*(-2*d*f+e^2))+(B*(a*e*f-2*b*d*f+c*d*e)-A*(2*a*f^2-b*e*f-2*c*d*f+c*e^2))*arctanh((2*f*x+e)/sqrt(-4*d*f+e^2))/sqrt(-4*d*f+e^2)/(c^2*d^2-b*c*d*e+f*(a^2*f-a*b*e+b^2*d)+a*c*(-2*d*f+e^2))+(A*b*f-A*c*e-B*a*f+B*c*d)*ln(c*x^2+b*x+a)/(2*c^2*d^2-2*b*c*d*e+2*f*(a^2*f-a*b*e+b^2*d)+2*a*c*(-2*d*f+e^2))-(A*b*f-A*c*e-B*a*f+B*c*d)*ln(f*x^2+e*x+d)/(2*c^2*d^2-2*b*c*d*e+2*f*(a^2*f-a*b*e+b^2*d)+2*a*c*(-2*d*f+e^2)),1],
[(B*x+A)/(c*x^2+b*x+a)^2/(f*x^2+e*x+d),x,11,-(A*c*(2*a*c*e-b*(a*f+c*d))+(A*b-B*a)*(2*c^2*d+b^2*f-c*(2*a*f+b*e))+c*(A*b^2*f+2*c*(-A*a*f+A*c*d+B*a*e)-b*(A*c*e+B*a*f+B*c*d))*x)/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/(c*x^2+b*x+a)-(b^5*(-A*e+B*d)*f^2-2*b^4*f*(B*c*d*e-a*A*f^2-A*c*(-d*f+e^2))-4*c^2*(A*(c^3*d^3-3*a^3*f^3-a^2*c*f*(-7*d*f+e^2)+a*c^2*d*(-5*d*f+3*e^2))-a*B*e*(c^2*d^2-3*a^2*f^2-a*c*(-2*d*f+e^2)))-4*b^2*(B*c^3*d^2*e+A*c*f*(2*c^2*d^2+3*a^2*f^2+3*a*c*(-d*f+e^2)))+2*b*c*(B*(c^3*d^3+3*a^3*f^3+a*c^2*d*(-7*d*f+e^2)+3*a^2*c*f*(d*f+e^2))+A*c*e*(3*c^2*d^2+3*a^2*f^2+a*c*(2*d*f+3*e^2)))-b^3*(A*c*e*(-4*a*f^2-2*c*d*f+c*e^2)+B*(4*a*c*d*f^2+a^2*f^3-c^2*d*(5*d*f+e^2))))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(c^2*d^2-b*c*d*e+f*(a^2*f-a*b*e+b^2*d)+a*c*(-2*d*f+e^2))^2+(B*(c^2*d*e*(-3*d*f+e^2)-2*c*d*f*(-a*e*f-2*b*d*f+b*e^2)+f^2*(a^2*e*f-4*a*b*d*f+b^2*d*e))-A*(c^2*(2*d^2*f^2-4*d*e^2*f+e^4)-f^2*(2*a*b*e*f-2*a^2*f^2-b^2*(-2*d*f+e^2))+2*c*f*(a*f*(-2*d*f+e^2)-b*(-3*d*e*f+e^3))))*arctanh((2*f*x+e)/sqrt(-4*d*f+e^2))/sqrt(-4*d*f+e^2)/(c^2*d^2-b*c*d*e+f*(a^2*f-a*b*e+b^2*d)+a*c*(-2*d*f+e^2))^2+1/2*(A*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))-B*(2*c*d*f*(-a*f+b*e)-f^2*(-a^2*f+b^2*d)-c^2*d*(-d*f+e^2)))*ln(c*x^2+b*x+a)/(c^2*d^2-b*c*d*e+f*(a^2*f-a*b*e+b^2*d)+a*c*(-2*d*f+e^2))^2-1/2*(A*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))-B*(2*c*d*f*(-a*f+b*e)-f^2*(-a^2*f+b^2*d)-c^2*d*(-d*f+e^2)))*ln(f*x^2+e*x+d)/(c^2*d^2-b*c*d*e+f*(a^2*f-a*b*e+b^2*d)+a*c*(-2*d*f+e^2))^2,1],
[(h*x+g)/(c*x^2+b*x+a)/(c*d*x^2+b*d*x+a*d)^2,x,5,-1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/(-4*a*c+b^2)/d^2/(c*x^2+b*x+a)^2+3/2*(-b*h+2*c*g)*(2*c*x+b)/(-4*a*c+b^2)^2/d^2/(c*x^2+b*x+a)-6*c*(-b*h+2*c*g)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/d^2,1],
[(h*x+g)/(c*x^2+b*x+a)^2/(c*d*x^2+b*d*x+a*d),x,5,-1/2*(b*g-2*a*h+(-b*h+2*c*g)*x)/(-4*a*c+b^2)/d/(c*x^2+b*x+a)^2+3/2*(-b*h+2*c*g)*(2*c*x+b)/(-4*a*c+b^2)^2/d/(c*x^2+b*x+a)-6*c*(-b*h+2*c*g)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/d,1],
[(B*x+A)*sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,10,B*sqrt(c*x^2+b*x+a)/f-1/2*(-2*A*c*f-B*b*f+2*B*c*e)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f^2+(2*f*(A*f*(-a*f+c*d)-B*d*(-b*f+c*e))-(e-sqrt(-4*d*f+e^2))*(B*f*(-a*f+b*e)+A*f*(-b*f+c*e)-B*c*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-(2*f*(A*f*(-a*f+c*d)-B*d*(-b*f+c*e))-(e+sqrt(-4*d*f+e^2))*(B*f*(-a*f+b*e)+A*f*(-b*f+c*e)-B*c*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[(B*x+A)*(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,12,-1/8*(2*A*c*f*(-5*b*f+4*c*e)-B*(b^2*f^2-2*c*f*(-4*a*f+5*b*e)+8*c^2*(-d*f+e^2)))*sqrt(c*x^2+b*x+a)/c/f^3-1/4*(-2*A*c*f-B*b*f+2*B*c*e)*x*sqrt(c*x^2+b*x+a)/f^2+1/3*B*(c*x^2+b*x+a)^(3/2)/f+1/16*(2*A*c*f*(3*b^2*f^2-12*c*f*(-a*f+b*e)+8*c^2*(-d*f+e^2))-B*(b^3*f^3+6*b*c*f^2*(-2*a*f+b*e)-24*c^2*f*(-a*e*f-b*d*f+b*e^2)+16*c^3*(-2*d*e*f+e^3)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f^4+(2*f*(B*d*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))-A*f*(2*c*d*f*(-a*f+b*e)-f^2*(-a^2*f+b^2*d)-c^2*d*(-d*f+e^2)))+(e-sqrt(-4*d*f+e^2))*(A*f*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))+B*(c^2*(d^2*f^2-3*d*e^2*f+e^4)-f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+2*c*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3)))))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^4/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-(2*f*(B*d*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))-A*f*(2*c*d*f*(-a*f+b*e)-f^2*(-a^2*f+b^2*d)-c^2*d*(-d*f+e^2)))+(e+sqrt(-4*d*f+e^2))*(A*f*(-b*f+c*e)*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))+B*(c^2*(d^2*f^2-3*d*e^2*f+e^4)-f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+2*c*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3)))))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^4/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[(B*x+A)/(c*x^2+b*x+a)/sqrt(f*x^2+e*x+d),x,5,(b*B-2*A*c-B*sqrt(-4*a*c+b^2))*arctanh(1/2*(4*c*d-(b-sqrt(-4*a*c+b^2))*e+2*(c*e-(b-sqrt(-4*a*c+b^2))*f)*x)/sqrt(2)/sqrt(2*c^2*d-b*c*e+b^2*f-2*a*c*f+sqrt(-4*a*c+b^2)*(-b*f+c*e))/sqrt(f*x^2+e*x+d))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c^2*d-b*c*e+b^2*f-2*a*c*f+sqrt(-4*a*c+b^2)*(-b*f+c*e))+(2*A*c-B*(b+sqrt(-4*a*c+b^2)))*arctanh(1/2*(4*c*d-(b+sqrt(-4*a*c+b^2))*e+2*(c*e-(b+sqrt(-4*a*c+b^2))*f)*x)/sqrt(2)/sqrt(2*c^2*d-b*c*e+b^2*f-2*a*c*f-sqrt(-4*a*c+b^2)*(-b*f+c*e))/sqrt(f*x^2+e*x+d))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c^2*d-b*c*e+b^2*f-2*a*c*f-sqrt(-4*a*c+b^2)*(-b*f+c*e)),1],
[(B*x+A)/(c*x^2+a)/sqrt(f*x^2+e*x+d),x,5,sqrt(a*B*e+A*(c*d-a*f-sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))*sqrt(-A*c*e+B*(c*d-a*f+sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))*arctanh(sqrt(e)*(a*(A*c*e-B*(c*d-a*f+sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))-c*(a*B*e+A*(c*d-a*f-sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))*x)/sqrt(2)/sqrt(a)/sqrt(c)/sqrt(a*B*e+A*(c*d-a*f-sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))/sqrt(-A*c*e+B*(c*d-a*f+sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))/sqrt(f*x^2+e*x+d))/sqrt(2)/sqrt(a)/sqrt(c)/sqrt(e)/sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))-sqrt(-A*c*e+B*(c*d-a*f-sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))*sqrt(a*B*e+A*(c*d-a*f+sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))*arctanh(sqrt(e)*(a*(A*c*e-B*(c*d-a*f-sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))-c*(a*B*e+A*(c*d-a*f+sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))*x)/sqrt(2)/sqrt(a)/sqrt(c)/sqrt(-A*c*e+B*(c*d-a*f-sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))/sqrt(a*B*e+A*(c*d-a*f+sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2))))/sqrt(f*x^2+e*x+d))/sqrt(2)/sqrt(a)/sqrt(c)/sqrt(e)/sqrt(c^2*d^2+a^2*f^2+a*c*(-2*d*f+e^2)),1],
[(B*x+A)/(c*x^2+b*x+a)/sqrt(f*x^2+d),x,5,(b*B-2*A*c-B*sqrt(-4*a*c+b^2))*arctanh((2*c*d-(b-sqrt(-4*a*c+b^2))*f*x)/sqrt(2)/sqrt(2*c^2*d-2*a*c*f+b*(b-sqrt(-4*a*c+b^2))*f)/sqrt(f*x^2+d))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c^2*d-2*a*c*f+b*(b-sqrt(-4*a*c+b^2))*f)+(2*A*c-B*(b+sqrt(-4*a*c+b^2)))*arctanh((2*c*d-(b+sqrt(-4*a*c+b^2))*f*x)/sqrt(2)/sqrt(2*c^2*d-2*a*c*f+b*(b+sqrt(-4*a*c+b^2))*f)/sqrt(f*x^2+d))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(2*c^2*d-2*a*c*f+b*(b+sqrt(-4*a*c+b^2))*f),1],
[(B*x+A)/(c*x^2+a)/sqrt(f*x^2+d),x,6,A*arctan(sqrt(-a*f+c*d)*x/sqrt(a)/sqrt(f*x^2+d))/sqrt(a)/sqrt(-a*f+c*d)-B*arctanh(sqrt(c)*sqrt(f*x^2+d)/sqrt(-a*f+c*d))/sqrt(c)/sqrt(-a*f+c*d),1],
[(2+x)/(-3*x^2+4*x+2)/sqrt(-2*x^2+3*x+1),x,5,1/2*sqrt(-13/5+sqrt(10))*arctan(1/2*(12-3*sqrt(10)+(1+4*sqrt(10))*x)/sqrt(1+sqrt(10))/sqrt(-2*x^2+3*x+1))+1/2*sqrt(13/5+sqrt(10))*arctanh(1/2*(12+3*sqrt(10)+(1-4*sqrt(10))*x)/sqrt(-1+sqrt(10))/sqrt(-2*x^2+3*x+1)),1],
[(2+x)/(-3*x^2+4*x+2)/(-2*x^2+3*x+1)^(3/2),x,7,1/17*(-30-28*x)/sqrt(-2*x^2+3*x+1)-9/2*sqrt(-3/5+1/5*sqrt(10))*arctan(1/2*(12-3*sqrt(10)+(1+4*sqrt(10))*x)/sqrt(1+sqrt(10))/sqrt(-2*x^2+3*x+1))+9/2*sqrt(3/5+1/5*sqrt(10))*arctanh(1/2*(12+3*sqrt(10)+(1-4*sqrt(10))*x)/sqrt(-1+sqrt(10))/sqrt(-2*x^2+3*x+1)),1],
[(2+x)/(-3*x^2+4*x+2)/(-2*x^2+3*x+1)^(5/2),x,7,1/51*(-30-28*x)/(-2*x^2+3*x+1)^(3/2)-2/867*(291+4814*x)/sqrt(-2*x^2+3*x+1)+9/2*sqrt(-53/5+17/5*sqrt(10))*arctan(1/2*(12-3*sqrt(10)+(1+4*sqrt(10))*x)/sqrt(1+sqrt(10))/sqrt(-2*x^2+3*x+1))+9/2*sqrt(53/5+17/5*sqrt(10))*arctanh(1/2*(12+3*sqrt(10)+(1-4*sqrt(10))*x)/sqrt(-1+sqrt(10))/sqrt(-2*x^2+3*x+1)),1],
[(2+x)/(-3*x^2+4*x+2)/sqrt(2*x^2+3*x+1),x,5,-1/2*sqrt(1+7/5*sqrt(2/5))*arctanh(1/2*(12-3*sqrt(10)+(17-4*sqrt(10))*x)/sqrt(55-17*sqrt(10))/sqrt(2*x^2+3*x+1))+1/2*sqrt(1-7/5*sqrt(2/5))*arctanh(1/2*(12+3*sqrt(10)+(17+4*sqrt(10))*x)/sqrt(55+17*sqrt(10))/sqrt(2*x^2+3*x+1)),1],
[(2+x)/(-3*x^2+4*x+2)/(2*x^2+3*x+1)^(3/2),x,6,2/5*(21+22*x)/sqrt(2*x^2+3*x+1)-1/10*sqrt(1239+1959/5*sqrt(10))*arctanh(1/2*(12-3*sqrt(10)+(17-4*sqrt(10))*x)/sqrt(55-17*sqrt(10))/sqrt(2*x^2+3*x+1))+1/10*sqrt(1239-1959/5*sqrt(10))*arctanh(1/2*(12+3*sqrt(10)+(17+4*sqrt(10))*x)/sqrt(55+17*sqrt(10))/sqrt(2*x^2+3*x+1)),1],
[(2+x)/(-3*x^2+4*x+2)/(2*x^2+3*x+1)^(5/2),x,7,2/15*(21+22*x)/(2*x^2+3*x+1)^(3/2)+2/15*(273+230*x)/sqrt(2*x^2+3*x+1)-1/50*sqrt(4885115/3+1544809/3*sqrt(10))*arctanh(1/2*(12-3*sqrt(10)+(17-4*sqrt(10))*x)/sqrt(55-17*sqrt(10))/sqrt(2*x^2+3*x+1))+1/50*sqrt(4885115/3-1544809/3*sqrt(10))*arctanh(1/2*(12+3*sqrt(10)+(17+4*sqrt(10))*x)/sqrt(55+17*sqrt(10))/sqrt(2*x^2+3*x+1)),1],
[(1+x)/(x^2+2*x+4)/sqrt(x^2+2*x+5),x,4,-arctanh(sqrt(4+(1+x)^2)),1],
[(4+x)/(x^2+2*x+4)/sqrt(x^2+2*x+5),x,7,sqrt(3)*arctan((1+x)/sqrt(3)/sqrt(x^2+2*x+5))-arctanh(sqrt(x^2+2*x+5)),1],
[(1+2*x)/(x^2+x+3)/sqrt(x^2+x+5),x,4,-sqrt(2)*arctanh(1/2*sqrt(19+(1+2*x)^2)/sqrt(2)),1],
[x/(x^2+x+3)/sqrt(x^2+x+5),x,7,-arctan(sqrt(2/11)*(1+2*x)/sqrt(x^2+x+5))/sqrt(22)-arctanh(sqrt(x^2+x+5)/sqrt(2))/sqrt(2),1],
[(B*x+A)/sqrt(f*x^2+e*x+d)/(b*f*x^2+b*e*x+a*e)^2,x,8,-((A*b-2*B*a)*e-b*(-2*A*f+B*e)*x)*sqrt(f*x^2+e*x+d)/e/(-a*e+b*d)/(-4*a*f+b*e)/(b*f*x^2+b*e*x+a*e)+1/2*(-2*A*f+B*e)*(8*a*e*f-b*(4*d*f+e^2))*arctanh(sqrt(-a*e+b*d)*(2*f*x+e)/sqrt(e)/sqrt(-4*a*f+b*e)/sqrt(f*x^2+e*x+d))/e^(3/2)/(-a*e+b*d)^(3/2)/f/(-4*a*f+b*e)^(3/2)+1/2*B*arctanh(sqrt(b)*sqrt(f*x^2+e*x+d)/sqrt(-a*e+b*d))/sqrt(b)/(-a*e+b*d)^(3/2)/f,1],
[(h*x+g)*sqrt(c*x^2+b*x+a)/(c*d*x^2+b*d*x+a*d)^2,x,2,(-2*b*g+4*a*h-2*(-b*h+2*c*g)*x)/(-4*a*c+b^2)/d^2/sqrt(c*x^2+b*x+a),1],
[(3+2*x)/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,2,arctanh(x/sqrt(-x^2-4*x-3)),1],
[(3+4*x)/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,13,sqrt(2)*arctan((1-(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))-sqrt(2)*arctan((1+(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))+arctanh(x/sqrt(-x^2-4*x-3)),1],
[(h*x+g)*sqrt(c*x^2+b*x+a)/(c*d*x^2+b*d*x+a*d)^(3/2),x,5,-(-b*h+2*c*g)*sqrt(c*x^2+b*x+a)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)/d/sqrt(c*d*x^2+b*d*x+a*d)+1/2*h*sqrt(c*x^2+b*x+a)*ln(c*x^2+b*x+a)/c/d/sqrt(c*d*x^2+b*d*x+a*d),1],
[(d*x+c)*(b*x^2+a*x)^(p+1),x,3,1/2*d*(b*x^2+a*x)^(2+p)/b/(2+p)+1/2*(-a*d+2*b*c)*(b*x^2+a*x)^(2+p)*hypergeom([1, 4+2*p],[3+p],-b*x/a)/a/b/(2+p),1],
[x*(b*x^2+a*x)^p*(a*c+(a*d+b*c)*x+b*d*x^2),x,4,1/2*d*(b*x^2+a*x)^(2+p)/b/(2+p)+1/2*(-a*d+2*b*c)*(b*x^2+a*x)^(2+p)*hypergeom([1, 4+2*p],[3+p],-b*x/a)/a/b/(2+p),1],
[x^2*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c),x,6,-1/8*a*c*x*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/d/(b*x+a)-2/15*b*c*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+c)^(3/2)/d^2/(b*x+a)+1/4*a*x*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+c)^(3/2)/d/(b*x+a)+1/5*b*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+c)^(3/2)/d/(b*x+a)-1/8*a*c^2*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d)*x/sqrt(d*x^2+c))/d^(3/2)/(b*x+a),1],
[x*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c),x,5,-1/8*b*c*x*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/d/(b*x+a)+1/3*a*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+c)^(3/2)/d/(b*x+a)+1/4*b*x*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+c)^(3/2)/d/(b*x+a)-1/8*b*c^2*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d)*x/sqrt(d*x^2+c))/d^(3/2)/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c),x,5,a*x*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/(2*b*x+2*a)+1/3*b*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+c)^(3/2)/d/(b*x+a)+1/2*a*c*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d)*x/sqrt(d*x^2+c))/sqrt(d)/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/x,x,8,(b*x+2*a)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/(2*b*x+2*a)+1/2*b*c*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d)*x/sqrt(d*x^2+c))/sqrt(d)/(b*x+a)-a*sqrt(c)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d*x^2+c)/sqrt(c))/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/x^2,x,8,-(-b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/x/(b*x+a)+a*sqrt(d)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d)*x/sqrt(d*x^2+c))/(b*x+a)-b*sqrt(c)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d*x^2+c)/sqrt(c))/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/x^3,x,8,-1/2*(2*b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+c)/x^2/(b*x+a)+b*sqrt(d)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d)*x/sqrt(d*x^2+c))/(b*x+a)-1/2*a*d*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(sqrt(d*x^2+c)/sqrt(c))/sqrt(c)/(b*x+a),1],
[x^2*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c),x,6,-1/128*(2*a*d*(4*c*d-5*e^2)-b*(12*c*d*e-7*e^3))*(2*d*x+e)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/d^4/(b*x+a)+1/5*b*x^2*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+e*x+c)^(3/2)/d/(b*x+a)-1/240*(32*b*c*d+50*a*d*e-35*b*e^2-6*d*(10*a*d-7*b*e)*x)*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+e*x+c)^(3/2)/d^3/(b*x+a)-1/256*(4*c*d-e^2)*(8*a*c*d^2-10*a*d*e^2-12*b*c*d*e+7*b*e^3)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(2*d*x+e)/sqrt(d)/sqrt(d*x^2+e*x+c))/d^(9/2)/(b*x+a),1],
[x*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c),x,5,-1/64*(8*a*d*e+4*b*c*d-5*b*e^2)*(2*d*x+e)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/d^3/(b*x+a)+1/24*(6*b*d*x+8*a*d-5*b*e)*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+e*x+c)^(3/2)/d^2/(b*x+a)-1/128*(4*c*d-e^2)*(8*a*d*e+4*b*c*d-5*b*e^2)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(2*d*x+e)/sqrt(d)/sqrt(d*x^2+e*x+c))/d^(7/2)/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c),x,5,1/8*(2*a*d-b*e)*(2*d*x+e)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/d^2/(b*x+a)+1/3*b*sqrt(b^2*x^2+2*a*b*x+a^2)*(d*x^2+e*x+c)^(3/2)/d/(b*x+a)+1/16*(2*a*d-b*e)*(4*c*d-e^2)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(2*d*x+e)/sqrt(d)/sqrt(d*x^2+e*x+c))/d^(5/2)/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/x,x,7,1/4*(2*b*d*x+4*a*d+b*e)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/d/(b*x+a)+1/8*(4*a*d*e+4*b*c*d-b*e^2)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(2*d*x+e)/sqrt(d)/sqrt(d*x^2+e*x+c))/d^(3/2)/(b*x+a)-a*sqrt(c)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(e*x+2*c)/sqrt(c)/sqrt(d*x^2+e*x+c))/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/x^2,x,7,-(-b*x+a)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/x/(b*x+a)+1/2*(2*a*d+b*e)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(2*d*x+e)/sqrt(d)/sqrt(d*x^2+e*x+c))/sqrt(d)/(b*x+a)-1/2*(a*e+2*b*c)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(e*x+2*c)/sqrt(c)/sqrt(d*x^2+e*x+c))/sqrt(c)/(b*x+a),1],
[sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/x^3,x,7,-1/4*(2*a*c+(a*e+4*b*c)*x)*sqrt(b^2*x^2+2*a*b*x+a^2)*sqrt(d*x^2+e*x+c)/c/x^2/(b*x+a)+b*sqrt(d)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(2*d*x+e)/sqrt(d)/sqrt(d*x^2+e*x+c))/(b*x+a)-1/8*(4*a*c*d-a*e^2+4*b*c*e)*sqrt(b^2*x^2+2*a*b*x+a^2)*arctanh(1/2*(e*x+2*c)/sqrt(c)/sqrt(d*x^2+e*x+c))/c^(3/2)/(b*x+a),1],
[x^2*sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,11,-1/4*(-b*f+4*c*e)*sqrt(c*x^2+b*x+a)/c/f^2+1/2*x*sqrt(c*x^2+b*x+a)/f-1/8*(b^2*f^2+4*c*f*(-a*f+b*e)-8*c^2*(-d*f+e^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f^3+(2*d*f*(a*f^2-b*e*f-c*d*f+c*e^2)+(e-sqrt(-4*d*f+e^2))*(f*(-a*e*f-b*d*f+b*e^2)-c*(-2*d*e*f+e^3)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-(2*d*f*(a*f^2-b*e*f-c*d*f+c*e^2)+(e+sqrt(-4*d*f+e^2))*(f*(-a*e*f-b*d*f+b*e^2)-c*(-2*d*e*f+e^3)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x*sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,10,sqrt(c*x^2+b*x+a)/f-1/2*(-b*f+2*c*e)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f^2-(2*d*f*(-b*f+c*e)+(e-sqrt(-4*d*f+e^2))*(f*(-a*f+b*e)-c*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+(2*d*f*(-b*f+c*e)+(e+sqrt(-4*d*f+e^2))*(f*(-a*f+b*e)-c*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,8,sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/f-sqrt(c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2))+f*(2*a*f-b*(e-sqrt(-4*d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)+sqrt(c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))+f*(2*a*f-b*(e+sqrt(-4*d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f/sqrt(-4*d*f+e^2),1],
[sqrt(c*x^2+b*x+a)/x/(f*x^2+e*x+d),x,9,-sqrt(a)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d-(2*(-a*e+b*d)*f-(-a*f+c*d)*(e-sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+(2*(-a*e+b*d)*f-(-a*f+c*d)*(e+sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[sqrt(c*x^2+b*x+a)/x^2/(f*x^2+e*x+d),x,24,-sqrt(c*x^2+b*x+a)/d/x-1/2*b*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d+sqrt(a)*e*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d^2+sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/d-1/2*b*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/d^2-1/2*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/d^2-f*(2*c*d^2-b*d*(e+sqrt(-4*d*f+e^2))+a*(e^2-2*d*f+e*sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+f*(2*c*d^2-2*b*d*e+2*a*(-d*f+e^2)+(-a*e+b*d)*(e+sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x^2*(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,13,-1/192*(9*b^3*f^3+12*b*c*f^2*(-5*a*f+2*b*e)+192*c^3*(-2*d*e*f+e^3)+16*c^2*f*(16*a*e*f-15*b*(-d*f+e^2)))*sqrt(c*x^2+b*x+a)/c^2/f^4+1/96*(3*b^2*f^2+48*c^2*(-d*f+e^2)-c*(-60*a*f^2+56*b*e*f))*x*sqrt(c*x^2+b*x+a)/c/f^3-1/24*(-9*b*f+8*c*e)*x^2*sqrt(c*x^2+b*x+a)/f^2+1/4*c*x^3*sqrt(c*x^2+b*x+a)/f+1/128*(3*b^4*f^4+8*b^2*c*f^3*(-3*a*f+b*e)+128*c^4*(d^2*f^2-3*d*e^2*f+e^4)-48*c^2*f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+192*c^3*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/f^5-((e-sqrt(-4*d*f+e^2))*(f*(-a*f+b*e)-c*(-d*f+e^2))*(f*(-a*e*f-2*b*d*f+b*e^2)-c*(-3*d*e*f+e^3))-2*d*f*(c^2*(d^2*f^2-3*d*e^2*f+e^4)-f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+2*c*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3))))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^5/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+((e+sqrt(-4*d*f+e^2))*(f*(-a*f+b*e)-c*(-d*f+e^2))*(f*(-a*e*f-2*b*d*f+b*e^2)-c*(-3*d*e*f+e^3))-2*d*f*(c^2*(d^2*f^2-3*d*e^2*f+e^4)-f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+2*c*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3))))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^5/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x*(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,12,1/8*(b^2*f^2-2*c*f*(-4*a*f+5*b*e)+8*c^2*(-d*f+e^2))*sqrt(c*x^2+b*x+a)/c/f^3-1/4*(-b*f+2*c*e)*x*sqrt(c*x^2+b*x+a)/f^2+1/3*(c*x^2+b*x+a)^(3/2)/f-1/16*(b^3*f^3+6*b*c*f^2*(-2*a*f+b*e)-24*c^2*f*(-a*e*f-b*d*f+b*e^2)+16*c^3*(-2*d*e*f+e^3))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f^4-(2*d*f*(-b*f+c*e)*(2*a*f^2-b*e*f-2*c*d*f+c*e^2)-(e-sqrt(-4*d*f+e^2))*(c^2*(d^2*f^2-3*d*e^2*f+e^4)-f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+2*c*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3))))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^4/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+(2*d*f*(-b*f+c*e)*(2*a*f^2-b*e*f-2*c*d*f+c*e^2)-(e+sqrt(-4*d*f+e^2))*(c^2*(d^2*f^2-3*d*e^2*f+e^4)-f^2*(2*a*b*e*f-a^2*f^2-b^2*(-d*f+e^2))+2*c*f*(a*f*(-d*f+e^2)-b*(-2*d*e*f+e^3))))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^4/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,10,-1/4*(-2*c*f*x-5*b*f+4*c*e)*sqrt(c*x^2+b*x+a)/f^2-1/8*(c^2*(8*d-8*e^2/f)-3*b^2*f+12*c*(-a*f+b*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f^2+((-b*f+c*e)*(e-sqrt(-4*d*f+e^2))*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))-2*f*(2*c*d*f*(-a*f+b*e)-f^2*(-a^2*f+b^2*d)-c^2*d*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+(4*c*d*f^2*(-a*f+b*e)-2*f^3*(-a^2*f+b^2*d)-2*c^2*d*f*(-d*f+e^2)-(-b*f+c*e)*(e+sqrt(-4*d*f+e^2))*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[(c*x^2+b*x+a)^(3/2)/x/(f*x^2+e*x+d),x,14,c*sqrt(c*x^2+b*x+a)/f-a^(3/2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d-1/2*b*sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/f-sqrt(c)*(-2*b*f+c*e)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/f^2-(2*f*(-a*f+c*d)*(a*e*f-2*b*d*f+c*d*e)+(e-sqrt(-4*d*f+e^2))*(2*c*d*f*(-a*f+b*e)-f^2*(-a^2*f+b^2*d)-c^2*d*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+(2*f*(-a*f+c*d)*(a*e*f-2*b*d*f+c*d*e)+(e+sqrt(-4*d*f+e^2))*(2*c*d*f*(-a*f+b*e)-f^2*(-a^2*f+b^2*d)-c^2*d*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[(c*x^2+b*x+a)^(3/2)/x^2/(f*x^2+e*x+d),x,28,-1/8*(-8*a*c*e-b^2*e+10*b*c*d)*sqrt(c*x^2+b*x+a)/c/d^2-1/4*(-b*e+2*c*d)*x*sqrt(c*x^2+b*x+a)/d^2+3/4*(2*c*x+3*b)*sqrt(c*x^2+b*x+a)/d-1/8*e*(2*b*c*x+8*a*c+b^2)*sqrt(c*x^2+b*x+a)/c/d^2-(c*x^2+b*x+a)^(3/2)/d/x-3/2*sqrt(a)*b*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d+a^(3/2)*e*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d^2+3/8*(4*a*c+b^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/d+1/16*b*(-12*a*c+b^2)*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/d^2+1/16*(16*c^3*d^2-24*a*c^2*d*f-b^3*e*f-6*b*c*(-2*a*e+b*d)*f)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/d^2/f-((-a*f+c*d)*(a*e*f-2*b*d*f+c*d*e)*(e-sqrt(-4*d*f+e^2))-2*f*(c^2*d^3-2*a*c*d^2*f-f*(b^2*d^2-2*a*b*d*e+a^2*(-d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^2/f/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+((-a*f+c*d)*(a*e*f-2*b*d*f+c*d*e)*(e+sqrt(-4*d*f+e^2))-2*f*(c^2*d^3-2*a*c*d^2*f-f*(b^2*d^2-2*a*b*d*e+a^2*(-d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^2/f/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[(c*x^2+b*x+a)^(3/2)/x^3/(f*x^2+e*x+d),x,35,-1/8*(8*c^2*d^2+b^2*(-d*f+e^2)-2*c*(4*a*d*f-4*a*e^2+5*b*d*e))*sqrt(c*x^2+b*x+a)/c/d^3+1/4*(b*d*f-b*e^2+2*c*d*e)*x*sqrt(c*x^2+b*x+a)/d^3-3/4*(-2*c*x+b)*sqrt(c*x^2+b*x+a)/d/x-3/4*e*(2*c*x+3*b)*sqrt(c*x^2+b*x+a)/d^2+1/8*(-d*f+e^2)*(2*b*c*x+8*a*c+b^2)*sqrt(c*x^2+b*x+a)/c/d^3-1/2*(c*x^2+b*x+a)^(3/2)/d/x^2+e*(c*x^2+b*x+a)^(3/2)/d^2/x-3/8*(4*a*c+b^2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d+3/2*sqrt(a)*b*e*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d^2-a^(3/2)*(-d*f+e^2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/d^3+3/2*b*sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/d-3/8*(4*a*c+b^2)*e*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/d^2-1/16*b*(-12*a*c+b^2)*(-d*f+e^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/d^3+1/16*(6*b^2*c*d*e+24*a*c^2*d*e+b^3*(-d*f+e^2)-12*b*c*(2*c*d^2+a*(-d*f+e^2)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/d^3-(2*(-a*e+b*d)*f*(2*c*d^2-b*d*e+a*(-2*d*f+e^2))-(e-sqrt(-4*d*f+e^2))*(c^2*d^3-2*a*c*d^2*f-f*(b^2*d^2-2*a*b*d*e+a^2*(-d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+(2*(-a*e+b*d)*f*(2*c*d^2-b*d*e+a*(-2*d*f+e^2))-(e+sqrt(-4*d*f+e^2))*(c^2*d^3-2*a*c*d^2*f-f*(b^2*d^2-2*a*b*d*e+a^2*(-d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x^3/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,10,sqrt(c*x^2+b*x+a)/c/f-1/2*(b*f+2*c*e)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f^2-(2*d*e*f-(-d*f+e^2)*(e-sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+(2*d*e*f-(-d*f+e^2)*(e+sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x^2/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,9,arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/f-(e^2-2*d*f-e*sqrt(-4*d*f+e^2))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-(2*d*f-e*(e+sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,5,(e-sqrt(-4*d*f+e^2))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-(e+sqrt(-4*d*f+e^2))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[1/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,5,-sqrt(2)*f*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+sqrt(2)*f*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[1/x/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,9,-arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d+f*(e+sqrt(-4*d*f+e^2))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-f*(e-sqrt(-4*d*f+e^2))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[1/x^2/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,12,-sqrt(c*x^2+b*x+a)/a/d/x+1/2*b*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)/d+e*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d^2-f*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2))+f*(2*a*f-b*(e-sqrt(-4*d*f+e^2))))+f*(e^2-2*d*f-e*sqrt(-4*d*f+e^2))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^2/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[1/x^3/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d),x,16,-1/2*sqrt(c*x^2+b*x+a)/a/d/x^2+3/4*b*sqrt(c*x^2+b*x+a)/a^2/d/x+e*sqrt(c*x^2+b*x+a)/a/d^2/x-1/8*(-4*a*c+3*b^2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(5/2)/d-1/2*b*e*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)/d^2-(-d*f+e^2)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)/d^3+f*(2*e^3-4*d*e*f-(-d*f+e^2)*(e-sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-f*(2*e^3-4*d*e*f-(-d*f+e^2)*(e+sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d^3/sqrt(-4*d*f+e^2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x^4/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,10,(-2*a*(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d))-2*(b^4*d-a*b^3*e+3*a^2*b*c*e+2*a^2*c*(-a*f+c*d)-a*b^2*(-a*f+4*c*d))*x)/c/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*x^2+b*x+a)+arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/f+(2*d*f*(c*d^2-b*d*e+a*(-d*f+e^2))-(e-sqrt(-4*d*f+e^2))*(c*d^2*e+a*e*(-2*d*f+e^2)-b*d*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-(2*d*f*(c*d^2-b*d*e+a*(-d*f+e^2))-(e+sqrt(-4*d*f+e^2))*(c*d^2*e+a*e*(-2*d*f+e^2)-b*d*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/f/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x^3/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,6,2*(a*(b^2*d-a*b*e-2*a*(-a*f+c*d))+(b^3*d-a*b^2*e+2*a^2*c*e-a*b*(-a*f+3*c*d))*x)/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*x^2+b*x+a)+(2*d*(-a*e+b*d)*f+(e-sqrt(-4*d*f+e^2))*(c*d^2-b*d*e+a*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-(2*d*(-a*e+b*d)*f+(e+sqrt(-4*d*f+e^2))*(c*d^2-b*d*e+a*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x^2/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,6,(-2*a*(a*b*f-2*a*c*e+b*c*d)-2*c*(b^2*d-a*b*e-2*a*(-a*f+c*d))*x)/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*x^2+b*x+a)-f*(2*d*(-a*f+c*d)-(-a*e+b*d)*(e-sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+f*(2*d*(-a*f+c*d)-(-a*e+b*d)*(e+sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,6,2*(a*(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)+c*(a*b*f-2*a*c*e+b*c*d)*x)/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*x^2+b*x+a)+f*(2*d*(-b*f+c*e)-(-a*f+c*d)*(e-sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))-f*(2*d*(-b*f+c*e)-(-a*f+c*d)*(e+sqrt(-4*d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[1/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,6,2*(b^2*c*e-2*a*c^2*e-b^3*f-b*c*(-3*a*f+c*d)-c*(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*x)/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*x^2+b*x+a)-f*(c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))+f*(2*a*f-b*(e+sqrt(-4*d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2))+f*(2*a*f-b*(e-sqrt(-4*d*f+e^2))))+f*(c*(e^2-2*d*f-e*sqrt(-4*d*f+e^2))+f*(2*a*f-b*(e-sqrt(-4*d*f+e^2))))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*(e^2-2*d*f+e*sqrt(-4*d*f+e^2))+f*(2*a*f-b*(e+sqrt(-4*d*f+e^2)))),1],
[1/x/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x,12,2*(b*c*x-2*a*c+b^2)/a/(-4*a*c+b^2)/d/sqrt(c*x^2+b*x+a)+2*(c*e*(2*a*c*e-b*(a*f+c*d))+(-a*f+b*e)*(2*c^2*d+b^2*f-c*(2*a*f+b*e))+c*(2*c^2*d*e+b*f*(-a*f+b*e)-b*c*(d*f+e^2))*x)/(-4*a*c+b^2)/d/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*x^2+b*x+a)-arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)/d-f*(2*f*(-a*e*f-b*d*f+b*e^2)-2*c*(-2*d*e*f+e^3)-(e-sqrt(-4*d*f+e^2))*(f*(-a*f+b*e)-c*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e-sqrt(-4*d*f+e^2))+2*(b*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2-(-b*f+c*e)*sqrt(-4*d*f+e^2))+f*(2*f*(-a*e*f-b*d*f+b*e^2)-2*c*(-2*d*e*f+e^3)-(e+sqrt(-4*d*f+e^2))*(f*(-a*f+b*e)-c*(-d*f+e^2)))*arctanh(1/2*(4*a*f-b*(e+sqrt(-4*d*f+e^2))+2*(b*f-c*(e+sqrt(-4*d*f+e^2)))*x)/sqrt(2)/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2))/sqrt(c*x^2+b*x+a))/sqrt(2)/d/sqrt(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/sqrt(c*e^2-2*c*d*f-b*e*f+2*a*f^2+(-b*f+c*e)*sqrt(-4*d*f+e^2)),1],
[x^4/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,19,5/2*sqrt(-x^2-4*x-3)-1/4*x*sqrt(-x^2-4*x-3)+11/2*arcsin(2+x)+1/2*arctan((1-(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))/sqrt(2)-1/2*arctan((1+(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))/sqrt(2)-5/4*arctanh(x/sqrt(-x^2-4*x-3)),1],
[x^3/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,18,-1/2*sqrt(-x^2-4*x-3)-2*arcsin(2+x)+1/2*arctan((1-(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))/sqrt(2)-1/2*arctan((1+(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))/sqrt(2)+arctanh(x/sqrt(-x^2-4*x-3)),1],
[x^2/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,17,1/2*arcsin(2+x)-arctan((1-(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))/sqrt(2)+arctan((1+(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))/sqrt(2)-1/2*arctanh(x/sqrt(-x^2-4*x-3)),1],
[x/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,6,-arctan((1-3*sqrt(-1-x)/sqrt(3+x))/sqrt(2))/sqrt(2)+arctan((1+3*sqrt(-1-x)/sqrt(3+x))/sqrt(2))/sqrt(2),1],
[1/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,10,-1/3*sqrt(2)*arctan((1-(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))+1/3*sqrt(2)*arctan((1+(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))+1/3*arctanh(x/sqrt(-x^2-4*x-3)),1],
[1/x/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,17,-1/3*arctan((3+2*x)/sqrt(3)/sqrt(-x^2-4*x-3))/sqrt(3)+1/9*sqrt(2)*arctan((1-(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))-1/9*sqrt(2)*arctan((1+(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))-4/9*arctanh(x/sqrt(-x^2-4*x-3)),1],
[1/x^2/sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,20,1/9*sqrt(-x^2-4*x-3)/x+2/3*arctan((3+2*x)/sqrt(3)/sqrt(-x^2-4*x-3))/sqrt(3)+2/27*sqrt(2)*arctan((1-(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))-2/27*sqrt(2)*arctan((1+(3+x)/sqrt(-x^2-4*x-3))/sqrt(2))+10/27*arctanh(x/sqrt(-x^2-4*x-3)),1],
[x^3*(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,6,1/240*(-64*a*c*f+63*b^2*f-70*b*c*e+80*c^2*d)*x^2*sqrt(c*x^2+b*x+a)/c^3+1/40*(-9*b*f+10*c*e)*x^3*sqrt(c*x^2+b*x+a)/c^2+1/5*f*x^4*sqrt(c*x^2+b*x+a)/c-1/1920*(1050*b^3*c*e-2200*a*b*c^2*e-945*b^4*f-60*b^2*c*(-49*a*f+20*c*d)+256*a*c^2*(-4*a*f+5*c*d)-2*c*(350*b^2*c*e-360*a*c^2*e-315*b^3*f-4*b*c*(-161*a*f+100*c*d))*x)*sqrt(c*x^2+b*x+a)/c^5+1/256*(70*b^4*c*e-240*a*b^2*c^2*e+96*a^2*c^3*e-63*b^5*f-40*b^3*c*(-7*a*f+2*c*d)+48*a*b*c^2*(-5*a*f+4*c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[x^2*(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,5,1/24*(-7*b*f+8*c*e)*x^2*sqrt(c*x^2+b*x+a)/c^2+1/4*f*x^3*sqrt(c*x^2+b*x+a)/c+1/192*(120*b^2*c*e-128*a*c^2*e-105*b^3*f-4*b*c*(-55*a*f+36*c*d)+2*c*(-36*a*c*f+35*b^2*f-40*b*c*e+48*c^2*d)*x)*sqrt(c*x^2+b*x+a)/c^4-1/128*(40*b^3*c*e-96*a*b*c^2*e-35*b^4*f-24*b^2*c*(-5*a*f+2*c*d)+16*a*c^2*(-3*a*f+4*c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[x*(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,4,1/3*f*x^2*sqrt(c*x^2+b*x+a)/c+1/24*(24*c^2*d-18*b*c*e+15*b^2*f-16*a*c*f+2*c*(-5*b*f+6*c*e)*x)*sqrt(c*x^2+b*x+a)/c^3+1/16*(6*b^2*c*e-8*a*c^2*e-5*b^3*f-4*b*c*(-3*a*f+2*c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(f*x^2+e*x+d)/sqrt(c*x^2+b*x+a),x,4,1/4*(-3*b*f+4*c*e)*sqrt(c*x^2+b*x+a)/c^2+1/2*f*x*sqrt(c*x^2+b*x+a)/c+1/8*(8*c^2*d+3*b^2*f-4*c*(a*f+b*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(f*x^2+e*x+d)/x/sqrt(c*x^2+b*x+a),x,6,f*sqrt(c*x^2+b*x+a)/c-d*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)+1/2*(-b*f+2*c*e)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(f*x^2+e*x+d)/x^2/sqrt(c*x^2+b*x+a),x,6,-d*sqrt(c*x^2+b*x+a)/a/x+1/2*(-2*a*e+b*d)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)+f*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c),1],
[(f*x^2+e*x+d)/x^3/sqrt(c*x^2+b*x+a),x,4,-1/2*d*sqrt(c*x^2+b*x+a)/a/x^2+1/4*(-4*a*e+3*b*d)*sqrt(c*x^2+b*x+a)/a^2/x-1/8*(8*a^2*f-4*a*b*e-4*a*c*d+3*b^2*d)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(5/2),1],
[(f*x^2+e*x+d)/x^4/sqrt(c*x^2+b*x+a),x,5,-1/3*d*sqrt(c*x^2+b*x+a)/a/x^3+1/12*(-6*a*e+5*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^2-1/24*(24*a^2*f-18*a*b*e-16*a*c*d+15*b^2*d)*sqrt(c*x^2+b*x+a)/a^3/x+1/16*(5*b^3*d-6*a*b^2*e+8*a^2*c*e-4*a*b*(-2*a*f+3*c*d))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(7/2),1],
[(f*x^2+e*x+d)/x^5/sqrt(c*x^2+b*x+a),x,6,-1/4*d*sqrt(c*x^2+b*x+a)/a/x^4+1/24*(-8*a*e+7*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^3-1/96*(48*a^2*f-40*a*b*e-36*a*c*d+35*b^2*d)*sqrt(c*x^2+b*x+a)/a^3/x^2+1/192*(105*b^3*d-120*a*b^2*e+128*a^2*c*e-4*a*b*(-36*a*f+55*c*d))*sqrt(c*x^2+b*x+a)/a^4/x-1/128*(35*b^4*d-40*a*b^3*e+96*a^2*b*c*e+16*a^2*c*(-4*a*f+3*c*d)-24*a*b^2*(-2*a*f+5*c*d))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(9/2),1],
[(f*x^2+e*x+d)/x^6/sqrt(c*x^2+b*x+a),x,7,-1/5*d*sqrt(c*x^2+b*x+a)/a/x^5+1/40*(-10*a*e+9*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^4-1/240*(80*a^2*f-70*a*b*e-64*a*c*d+63*b^2*d)*sqrt(c*x^2+b*x+a)/a^3/x^3+1/960*(315*b^3*d-350*a*b^2*e+360*a^2*c*e-4*a*b*(-100*a*f+161*c*d))*sqrt(c*x^2+b*x+a)/a^4/x^2-1/1920*(945*b^4*d-1050*a*b^3*e+2200*a^2*b*c*e-60*a*b^2*(-20*a*f+49*c*d)+256*a^2*c*(-5*a*f+4*c*d))*sqrt(c*x^2+b*x+a)/a^5/x+1/256*(63*b^5*d-70*a*b^4*e+240*a^2*b^2*c*e-96*a^3*c^2*e+48*a^2*b*c*(-4*a*f+5*c*d)-40*a*b^3*(-2*a*f+7*c*d))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(11/2),1],
[x^2*(f*x^2+e*x+d)^2/sqrt(c*x^2+b*x+a),x,9,1/960*(640*c^3*d*e-231*b^3*f^2+36*b*c*f*(13*a*f+14*b*e)-8*c^2*(64*a*e*f+35*b*(2*d*f+e^2)))*x^2*sqrt(c*x^2+b*x+a)/c^4+1/480*(99*b^2*f^2-4*c*f*(25*a*f+54*b*e)+120*c^2*(2*d*f+e^2))*x^3*sqrt(c*x^2+b*x+a)/c^3+1/60*f*(-11*b*f+24*c*e)*x^4*sqrt(c*x^2+b*x+a)/c^2+1/6*f^2*x^5*sqrt(c*x^2+b*x+a)/c+1/7680*(7560*b^4*c*e*f-3465*b^5*f^2+480*b^2*c^2*e*(-49*a*f+20*c*d)-2048*a*c^3*e*(-4*a*f+5*c*d)+840*b^3*c*(17*a*f^2-5*c*(2*d*f+e^2))-16*b*c^2*(360*c^2*d^2+693*a^2*f^2-550*a*c*(2*d*f+e^2))+2*c*(1920*c^4*d^2+1155*b^4*f^2-504*b^2*c*f*(7*a*f+5*b*e)-160*c^3*(20*b*d*e+9*a*(2*d*f+e^2))+8*c^2*(644*a*b*e*f+150*a^2*f^2+175*b^2*(2*d*f+e^2)))*x)*sqrt(c*x^2+b*x+a)/c^6-1/1024*(504*b^5*c*e*f-231*b^6*f^2+320*b^3*c^2*e*(-7*a*f+2*c*d)-384*a*b*c^3*e*(-5*a*f+4*c*d)+140*b^4*c*(9*a*f^2-2*c*(2*d*f+e^2))-48*b^2*c^2*(8*c^2*d^2+35*a^2*f^2-20*a*c*(2*d*f+e^2))+64*a*c^3*(8*c^2*d^2+5*a^2*f^2-6*a*c*(2*d*f+e^2)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[x*(f*x^2+e*x+d)^2/sqrt(c*x^2+b*x+a),x,7,1/1920*(1536*c^4*d^2+945*b^4*f^2-420*b^2*c*f*(7*a*f+5*b*e)-320*c^3*(9*b*d*e+4*a*(2*d*f+e^2))+16*c^2*(275*a*b*e*f+64*a^2*f^2+75*b^2*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/c^5+1/960*(576*c^3*d*e-315*b^3*f^2+28*b*c*f*(23*a*f+25*b*e)-80*c^2*(9*a*e*f+5*b*(2*d*f+e^2)))*x*sqrt(c*x^2+b*x+a)/c^4+1/240*(63*b^2*f^2-4*c*f*(16*a*f+35*b*e)+32*c^2*(2*d*f+e^2))*x^2*sqrt(c*x^2+b*x+a)/c^3+1/40*f*(-9*b*f+4*c*e)*x^3*sqrt(c*x^2+b*x+a)/c^2+1/5*sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)^2/c+1/256*(140*b^4*c*e*f-63*b^5*f^2+96*b^2*c^2*e*(-5*a*f+2*c*d)-64*a*c^3*e*(-3*a*f+4*c*d)+40*b^3*c*(7*a*f^2-2*c*(2*d*f+e^2))-16*b*c^2*(8*c^2*d^2+15*a^2*f^2-12*a*c*(2*d*f+e^2)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(f*x^2+e*x+d)^2/sqrt(c*x^2+b*x+a),x,6,1/192*(384*c^3*d*e-105*b^3*f^2+20*b*c*f*(11*a*f+12*b*e)-16*c^2*(16*a*e*f+9*b*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/c^4+1/96*(35*b^2*f^2-4*c*f*(9*a*f+20*b*e)+48*c^2*(2*d*f+e^2))*x*sqrt(c*x^2+b*x+a)/c^3+1/24*f*(-7*b*f+16*c*e)*x^2*sqrt(c*x^2+b*x+a)/c^2+1/4*f^2*x^3*sqrt(c*x^2+b*x+a)/c+1/128*(128*c^4*d^2+35*b^4*f^2-40*b^2*c*f*(3*a*f+2*b*e)-64*c^3*(2*b*d*e+a*(2*d*f+e^2))+48*c^2*(4*a*b*e*f+a^2*f^2+b^2*(2*d*f+e^2)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(f*x^2+e*x+d)^2/x/sqrt(c*x^2+b*x+a),x,8,1/24*(15*b^2*f^2-4*c*f*(4*a*f+9*b*e)+24*c^2*(2*d*f+e^2))*sqrt(c*x^2+b*x+a)/c^3+1/12*f*(-5*b*f+12*c*e)*x*sqrt(c*x^2+b*x+a)/c^2+1/3*f^2*x^2*sqrt(c*x^2+b*x+a)/c-d^2*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/sqrt(a)+1/16*(32*c^3*d*e-5*b^3*f^2+12*b*c*f*(a*f+b*e)-8*c^2*(2*a*e*f+b*(2*d*f+e^2)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(f*x^2+e*x+d)^2/x^2/sqrt(c*x^2+b*x+a),x,8,1/4*f*(-3*b*f+8*c*e)*sqrt(c*x^2+b*x+a)/c^2-d^2*sqrt(c*x^2+b*x+a)/a/x+1/2*f^2*x*sqrt(c*x^2+b*x+a)/c+1/2*d*(-4*a*e+b*d)*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(3/2)-1/8*(b*f*(-3*b*f+8*c*e)+4*c*(a*f^2-2*c*(2*d*f+e^2)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(f*x^2+e*x+d)^2/x^3/sqrt(c*x^2+b*x+a),x,8,f^2*sqrt(c*x^2+b*x+a)/c-1/2*d^2*sqrt(c*x^2+b*x+a)/a/x^2+1/4*d*(-8*a*e+3*b*d)*sqrt(c*x^2+b*x+a)/a^2/x-1/8*(3*b^2*d^2-4*a*c*d^2-8*a*b*d*e+8*a^2*(2*d*f+e^2))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(5/2)+1/2*f*(-b*f+4*c*e)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(f*x^2+e*x+d)^2/x^4/sqrt(c*x^2+b*x+a),x,8,-1/3*d^2*sqrt(c*x^2+b*x+a)/a/x^3+1/12*d*(-12*a*e+5*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^2-1/24*(15*b^2*d^2-36*a*b*d*e-8*a*(2*c*d^2-3*a*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/a^3/x+1/16*(5*b^3*d^2-12*a*b^2*d*e+16*a^2*e*(-2*a*f+c*d)-4*a*b*(3*c*d^2-2*a*(2*d*f+e^2)))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(7/2)+f^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c),1],
[(f*x^2+e*x+d)^2/x^5/sqrt(c*x^2+b*x+a),x,6,-1/4*d^2*sqrt(c*x^2+b*x+a)/a/x^4+1/24*d*(-16*a*e+7*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^3-1/96*(35*b^2*d^2-80*a*b*d*e-12*a*(3*c*d^2-4*a*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/a^3/x^2+1/192*(105*b^3*d^2-240*a*b^2*d*e+128*a^2*e*(-3*a*f+2*c*d)-4*a*b*(55*c*d^2-36*a*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/a^4/x-1/128*(35*b^4*d^2-80*a*b^3*d*e+64*a^2*b*e*(-2*a*f+3*c*d)-24*a*b^2*(5*c*d^2-2*a*(2*d*f+e^2))+16*a^2*(3*c^2*d^2+8*a^2*f^2-4*a*c*(2*d*f+e^2)))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(9/2),1],
[(f*x^2+e*x+d)^2/x^6/sqrt(c*x^2+b*x+a),x,7,-1/5*d^2*sqrt(c*x^2+b*x+a)/a/x^5+1/40*d*(-20*a*e+9*b*d)*sqrt(c*x^2+b*x+a)/a^2/x^4-1/240*(63*b^2*d^2-140*a*b*d*e-16*a*(4*c*d^2-5*a*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/a^3/x^3+1/960*(315*b^3*d^2-700*a*b^2*d*e+240*a^2*e*(-4*a*f+3*c*d)-4*a*b*(161*c*d^2-100*a*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/a^4/x^2-1/1920*(945*b^4*d^2-2100*a*b^3*d*e+80*a^2*b*e*(-36*a*f+55*c*d)-60*a*b^2*(49*c*d^2-20*a*(2*d*f+e^2))+128*a^2*(8*c^2*d^2+15*a^2*f^2-10*a*c*(2*d*f+e^2)))*sqrt(c*x^2+b*x+a)/a^5/x+1/256*(63*b^5*d^2-140*a*b^4*d*e-64*a^3*c*e*(-4*a*f+3*c*d)+96*a^2*b^2*e*(-2*a*f+5*c*d)-40*a*b^3*(7*c*d^2-2*a*(2*d*f+e^2))+16*a^2*b*(15*c^2*d^2+8*a^2*f^2-12*a*c*(2*d*f+e^2)))*arctanh(1/2*(b*x+2*a)/sqrt(a)/sqrt(c*x^2+b*x+a))/a^(11/2),1],
[(1-x)/sqrt(x^2+1)/(3*x^2+2*x+3),x,2,arctan((1+x)/sqrt(2)/sqrt(x^2+1))/sqrt(2),1],
[(1+(1+sqrt(2))*x)/(x^2+1)/sqrt(x^2+x),x,2,-sqrt(2+2*sqrt(2))*arctan((1+sqrt(2)-x)/sqrt(2+2*sqrt(2))/sqrt(x^2+x)),1],
[(1+(1-sqrt(2))*x)/(x^2+1)/sqrt(x^2+x),x,2,-sqrt(-2+2*sqrt(2))*arctanh((1-sqrt(2)-x)/sqrt(-2+2*sqrt(2))/sqrt(x^2+x)),1],
[(1-sqrt(2)-x)/(x^2+1)/sqrt(x^2+x),x,2,sqrt(-2+2*sqrt(2))*arctan((1+(1-sqrt(2))*x)/sqrt(-2+2*sqrt(2))/sqrt(x^2+x)),1],
[(1+sqrt(2)-x)/(x^2+1)/sqrt(x^2+x),x,2,sqrt(2+2*sqrt(2))*arctanh((1+(1+sqrt(2))*x)/sqrt(2+2*sqrt(2))/sqrt(x^2+x)),1],
[x/(x^2+1)/sqrt(x^2+x),x,5,-1/2*sqrt(1+sqrt(2))*arctan((1+sqrt(2)-x)/sqrt(2+2*sqrt(2))/sqrt(x^2+x))+1/2*sqrt(-1+sqrt(2))*arctanh((1-sqrt(2)-x)/sqrt(-2+2*sqrt(2))/sqrt(x^2+x)),1],
[x/sqrt(x*(1+x))/(x^2+1),x,6,-1/2*sqrt(1+sqrt(2))*arctan((1+sqrt(2)-x)/sqrt(2+2*sqrt(2))/sqrt(x^2+x))+1/2*sqrt(-1+sqrt(2))*arctanh((1-sqrt(2)-x)/sqrt(-2+2*sqrt(2))/sqrt(x^2+x)),1],
[(1-x)/(x^2+1)/sqrt(x^2+x+1),x,2,sqrt(2)*arctanh((1+x)/sqrt(2)/sqrt(x^2+x+1)),1],
[(1+x)/(x^2+1)/sqrt(x^2-x+1),x,2,-sqrt(2)*arctanh((1-x)/sqrt(2)/sqrt(x^2-x+1)),1],
[(1+x)/sqrt(x^2+x+1)/(2*x^2-x+2),x,2,-2/3*arctan((1-x)/sqrt(x^2+x+1)),1],
[(1+x)/sqrt(-x^2+x-1)/(2*x^2-3*x+2),x,2,-2*arctanh((1-x)/sqrt(-x^2+x-1)),1],
[(1+x)/sqrt(x^2+3*x+1)/(2*x^2+x+2),x,2,-2/5*arctan((1-x)/sqrt(x^2+3*x+1)),1],
[(1+x)/sqrt(-x^2+3*x-1)/(2*x^2-5*x+2),x,2,2*arctanh((1-x)/sqrt(-x^2+3*x-1)),1],
[(1+x)/sqrt(x^2+6*x-1)/(3*x^2+4*x+4),x,2,-1/2*arctan(1/2*sqrt(7/2)*(2-x)/sqrt(x^2+6*x-1))/sqrt(14),1],
[(h*x+g)^m*(c*x^2+b*x+a)*(f*x^2+e*x+d)^2,x,2,(a*h^2-b*g*h+c*g^2)*(f*g^2-h*(-d*h+e*g))^2*(h*x+g)^(1+m)/h^7/(1+m)-(d*h^2-e*g*h+f*g^2)*(2*c*(3*f*g^3-g*h*(-d*h+2*e*g))-h*(5*b*f*g^2-b*h*(-d*h+3*e*g)-2*a*h*(-e*h+2*f*g)))*(h*x+g)^(2+m)/h^7/(2+m)+(c*(15*f^2*g^4-4*f*g^2*h*(-3*d*h+5*e*g)+h^2*(d^2*h^2-6*d*e*g*h+6*e^2*g^2))-h*(b*(10*f^2*g^3+e*h^2*(-2*d*h+3*e*g)-6*f*g*h*(-d*h+2*e*g))-a*h*(6*f^2*g^2+e^2*h^2-2*f*h*(-d*h+3*e*g))))*(h*x+g)^(3+m)/h^7/(3+m)-(c*(20*f^2*g^3-4*f*g*h*(-2*d*h+5*e*g)+2*e*h^2*(-d*h+2*e*g))+h*(2*a*f*h*(-e*h+2*f*g)-b*(10*f^2*g^2+e^2*h^2-2*f*h*(-d*h+4*e*g))))*(h*x+g)^(4+m)/h^7/(4+m)-(f*h*(-a*f*h-2*b*e*h+5*b*f*g)-c*(15*f^2*g^2+e^2*h^2-2*f*h*(-d*h+5*e*g)))*(h*x+g)^(5+m)/h^7/(5+m)-f*(-b*f*h-2*c*e*h+6*c*f*g)*(h*x+g)^(6+m)/h^7/(6+m)+c*f^2*(h*x+g)^(7+m)/h^7/(7+m),1],
[(h*x+g)^2*(c*x^2+b*x+a)*(f*x^2+e*x+d)^2,x,2,a*d^2*g^2*x+1/2*d*g*(b*d*g+2*a*(d*h+e*g))*x^2+1/3*(c*d^2*g^2+2*b*d*g*(d*h+e*g)+a*(d^2*h^2+4*d*e*g*h+2*d*f*g^2+e^2*g^2))*x^3+1/4*(2*c*d*g*(d*h+e*g)+b*(d^2*h^2+4*d*e*g*h+2*d*f*g^2+e^2*g^2)+2*a*(d*e*h^2+2*d*f*g*h+e^2*g*h+e*f*g^2))*x^4+1/5*(2*b*(d*e*h^2+2*d*f*g*h+e^2*g*h+e*f*g^2)+a*(f^2*g^2+e^2*h^2+2*f*h*(d*h+2*e*g))+c*(e^2*g^2+4*d*e*g*h+d*(d*h^2+2*f*g^2)))*x^5+1/6*(2*a*f*h*(e*h+f*g)+2*c*(d*e*h^2+2*d*f*g*h+e^2*g*h+e*f*g^2)+b*(f^2*g^2+e^2*h^2+2*f*h*(d*h+2*e*g)))*x^6+1/7*(c*(f^2*g^2+e^2*h^2+2*f*h*(d*h+2*e*g))+f*h*(a*f*h+2*b*(e*h+f*g)))*x^7+1/8*f*h*(b*f*h+2*c*(e*h+f*g))*x^8+1/9*c*f^2*h^2*x^9,1],
[(h*x+g)*(c*x^2+b*x+a)*(f*x^2+e*x+d)^2,x,2,a*d^2*g*x+1/2*d*(a*d*h+2*a*e*g+b*d*g)*x^2+1/3*(c*d^2*g+b*d*(d*h+2*e*g)+a*(2*d*e*h+2*d*f*g+e^2*g))*x^3+1/4*(c*d*(d*h+2*e*g)+b*(2*d*e*h+2*d*f*g+e^2*g)+a*(2*d*f*h+e^2*h+2*e*f*g))*x^4+1/5*(a*f*(2*e*h+f*g)+c*(2*d*e*h+2*d*f*g+e^2*g)+b*(2*d*f*h+e^2*h+2*e*f*g))*x^5+1/6*(f*(a*f*h+2*b*e*h+b*f*g)+c*(2*d*f*h+e^2*h+2*e*f*g))*x^6+1/7*f*(b*f*h+2*c*e*h+c*f*g)*x^7+1/8*c*f^2*h*x^8,1],
[(c*x^2+b*x+a)*(f*x^2+e*x+d)^2,x,2,a*d^2*x+1/2*d*(2*a*e+b*d)*x^2+1/3*(c*d^2+2*b*d*e+a*(2*d*f+e^2))*x^3+1/4*(2*c*d*e+2*a*e*f+b*(2*d*f+e^2))*x^4+1/5*(f*(a*f+2*b*e)+c*(2*d*f+e^2))*x^5+1/6*f*(b*f+2*c*e)*x^6+1/7*c*f^2*x^7,1],
[(c*x^2+b*x+a)*(f*x^2+e*x+d)^2/(h*x+g),x,2,-(c*g*(f*g^2-h*(-d*h+e*g))^2+h*(a*h*(-e*h+f*g)*(f*g^2-h*(-2*d*h+e*g))-b*(f*g^2-h*(-d*h+e*g))^2))*x/h^6+1/2*(c*(f*g^2-h*(-d*h+e*g))^2-h*(b*(-e*h+f*g)*(f*g^2-h*(-2*d*h+e*g))-a*h*(f^2*g^2+e^2*h^2-2*f*h*(-d*h+e*g))))*x^2/h^5-1/3*(c*(-e*h+f*g)*(f*g^2-h*(-2*d*h+e*g))+h*(a*f*h*(-2*e*h+f*g)-b*(f^2*g^2+e^2*h^2-2*f*h*(-d*h+e*g))))*x^3/h^4-1/4*(f*h*(-a*f*h-2*b*e*h+b*f*g)-c*(f^2*g^2+e^2*h^2-2*f*h*(-d*h+e*g)))*x^4/h^3-1/5*f*(-b*f*h-2*c*e*h+c*f*g)*x^5/h^2+1/6*c*f^2*x^6/h+(a*h^2-b*g*h+c*g^2)*(f*g^2-h*(-d*h+e*g))^2*ln(h*x+g)/h^7,1],
[(c*x^2+b*x+a)*(f*x^2+e*x+d)^2/(h*x+g)^2,x,2,(c*(5*f^2*g^4-2*f*g^2*h*(-3*d*h+4*e*g)+h^2*(d^2*h^2-4*d*e*g*h+3*e^2*g^2))-h*(2*b*(-e*h+2*f*g)*(f*g^2-h*(-d*h+e*g))-a*h*(3*f^2*g^2+e^2*h^2-2*f*h*(-d*h+2*e*g))))*x/h^6-1/2*(2*c*(-e*h+2*f*g)*(f*g^2-h*(-d*h+e*g))+h*(2*a*f*h*(-e*h+f*g)-b*(3*f^2*g^2+e^2*h^2-2*f*h*(-d*h+2*e*g))))*x^2/h^5-1/3*(f*h*(-a*f*h-2*b*e*h+2*b*f*g)-c*(3*f^2*g^2+e^2*h^2-2*f*h*(-d*h+2*e*g)))*x^3/h^4-1/4*f*(-b*f*h-2*c*e*h+2*c*f*g)*x^4/h^3+1/5*c*f^2*x^5/h^2-(a*h^2-b*g*h+c*g^2)*(f*g^2-h*(-d*h+e*g))^2/h^7/(h*x+g)-(d*h^2-e*g*h+f*g^2)*(2*c*(3*f*g^3-g*h*(-d*h+2*e*g))-h*(5*b*f*g^2-b*h*(-d*h+3*e*g)-2*a*h*(-e*h+2*f*g)))*ln(h*x+g)/h^7,1],
[(c*x^2+b*x+a)*(f*x^2+e*x+d)^2/(h*x+g)^3,x,2,-(c*(10*f^2*g^3+e*h^2*(-2*d*h+3*e*g)-6*f*g*h*(-d*h+2*e*g))+h*(a*f*h*(-2*e*h+3*f*g)-b*(6*f^2*g^2+e^2*h^2-2*f*h*(-d*h+3*e*g))))*x/h^6-1/2*(f*h*(-a*f*h-2*b*e*h+3*b*f*g)-c*(6*f^2*g^2+e^2*h^2-2*f*h*(-d*h+3*e*g)))*x^2/h^5-1/3*f*(-b*f*h-2*c*e*h+3*c*f*g)*x^3/h^4+1/4*c*f^2*x^4/h^3-1/2*(a*h^2-b*g*h+c*g^2)*(f*g^2-h*(-d*h+e*g))^2/h^7/(h*x+g)^2+(d*h^2-e*g*h+f*g^2)*(2*c*(3*f*g^3-g*h*(-d*h+2*e*g))-h*(5*b*f*g^2-b*h*(-d*h+3*e*g)-2*a*h*(-e*h+2*f*g)))/h^7/(h*x+g)+(c*(15*f^2*g^4-4*f*g^2*h*(-3*d*h+5*e*g)+h^2*(d^2*h^2-6*d*e*g*h+6*e^2*g^2))-h*(b*(10*f^2*g^3+e*h^2*(-2*d*h+3*e*g)-6*f*g*h*(-d*h+2*e*g))-a*h*(6*f^2*g^2+e^2*h^2-2*f*h*(-d*h+3*e*g))))*ln(h*x+g)/h^7,1],
[(h*x+g)^4*(c*x^2+b*x+a)^5*(6*b*g+5*a*h+(11*b*h+12*c*g)*x+17*c*h*x^2),x,1,(h*x+g)^5*(c*x^2+b*x+a)^6,1],
[(2+3*x)^2*(-12*x^2+31*x+30)^2*sqrt(12*x^2+17*x+6),x,8,125455/150994944*(17+24*x)*sqrt(12*x^2+17*x+6)-125455/4718592*(17+24*x)*(12*x^2+17*x+6)^(3/2)+25091/24576*(17+24*x)*(12*x^2+17*x+6)^(5/2)-873/1792*(12*x^2+17*x+6)^(7/2)-1/32*(10-3*x)*(12*x^2+17*x+6)^(7/2)-125455/603979776*arctanh(1/4*(17+24*x)/sqrt(3)/sqrt(12*x^2+17*x+6))/sqrt(3),1],
[(2+3*x)*(-12*x^2+31*x+30)*sqrt(12*x^2+17*x+6),x,6,-97/24576*(17+24*x)*sqrt(12*x^2+17*x+6)+97/768*(17+24*x)*(12*x^2+17*x+6)^(3/2)-1/20*(12*x^2+17*x+6)^(5/2)+97/98304*arctanh(1/4*(17+24*x)/sqrt(3)/sqrt(12*x^2+17*x+6))/sqrt(3),1],
[sqrt(12*x^2+17*x+6)/(2+3*x)/(-12*x^2+31*x+30),x,3,1/42*arctanh(1/84*(206+291*x)/sqrt(12*x^2+17*x+6)),1],
[sqrt(12*x^2+17*x+6)/(2+3*x)^2/(-12*x^2+31*x+30)^2,x,5,-1/98*(275+388*x)/(10-3*x)/sqrt(12*x^2+17*x+6)+3137*sqrt(12*x^2+17*x+6)/(384160-115248*x)+97/3226944*arctanh(1/84*(206+291*x)/sqrt(12*x^2+17*x+6)),1],
[sqrt(12*x^2+17*x+6)/(2+3*x)^3/(-12*x^2+31*x+30)^3,x,7,-1/294*(275+388*x)/(10-3*x)^2/(12*x^2+17*x+6)^(3/2)+1/8232*(738029+1042556*x)/(10-3*x)^2/sqrt(12*x^2+17*x+6)-50555899/19361664*sqrt(12*x^2+17*x+6)/(10-3*x)^2-1634466587*sqrt(12*x^2+17*x+6)/(75897722880-22769316864*x)+40325/637540872192*arctanh(1/84*(206+291*x)/sqrt(12*x^2+17*x+6)),1],
[(-3+2*x)*(x^2-3*x)^(2/3),x,2,3/5*(x^2-3*x)^(5/3),1],
[((-3+x)*x)^(2/3)*(-3+2*x),x,3,3/5*(x^2-3*x)^(5/3),1],
[x*(2*x^2-9*x+9)/(x^2-3*x)^(1/3),x,3,3/5*(x^2-3*x)^(5/3),1],
[x*(2*x^2-9*x+9)/((-3+x)*x)^(1/3),x,4,3/5*(x^2-3*x)^(5/3),1],
[(h*x+g)/(-c*g^2/h^2+9*c*x^2)^(1/3)/(3*h^2*x^2+g^2),x,2,1/2*(1-9*h^2*x^2/g^2)^(1/3)*arctan(1/sqrt(3)-2^(2/3)*(1-3*h*x/g)^(2/3)/sqrt(3)/(1+3*h*x/g)^(1/3))*2^(1/3)/sqrt(3)/h/(-c*g^2/h^2+9*c*x^2)^(1/3)+1/12*(1-9*h^2*x^2/g^2)^(1/3)*ln(3*h^2*x^2+g^2)*2^(1/3)/h/(-c*g^2/h^2+9*c*x^2)^(1/3)-1/4*(1-9*h^2*x^2/g^2)^(1/3)*ln((1-3*h*x/g)^(2/3)+2^(1/3)*(1+3*h*x/g)^(1/3))*2^(1/3)/h/(-c*g^2/h^2+9*c*x^2)^(1/3),1],
[(h*x+g)/(1/9*(2*b^2*h^2+b*c*g*h-c^2*g^2)/c/h^2+b*x+c*x^2)^(1/3)/(f*(b^2-1/3*(2*b^2*h^2+b*c*g*h-c^2*g^2)/h^2)/c^2+b*f*x/c+f*x^2),x,2,3*3^(1/6)*h*(c*h^2*((-2*b*h+c*g)*(b*h+c*g)/c/h^2-9*b*x-9*c*x^2)/(-b*h+2*c*g)^2)^(1/3)*arctan(1/sqrt(3)-2^(2/3)*(1-3*h*(2*c*x+b)/(-b*h+2*c*g))^(2/3)/sqrt(3)/(1+3*h*(2*c*x+b)/(-b*h+2*c*g))^(1/3))/f/(-(-2*b*h+c*g)*(b*h+c*g)/c/h^2+9*b*x+9*c*x^2)^(1/3)+1/2*3^(2/3)*h*(c*h^2*((-2*b*h+c*g)*(b*h+c*g)/c/h^2-9*b*x-9*c*x^2)/(-b*h+2*c*g)^2)^(1/3)*ln(1/3*f*(b^2*h^2-b*c*g*h+c^2*g^2)/c^2/h^2+b*f*x/c+f*x^2)/f/(-(-2*b*h+c*g)*(b*h+c*g)/c/h^2+9*b*x+9*c*x^2)^(1/3)-3/2*3^(2/3)*h*(c*h^2*((-2*b*h+c*g)*(b*h+c*g)/c/h^2-9*b*x-9*c*x^2)/(-b*h+2*c*g)^2)^(1/3)*ln((1-3*h*(2*c*x+b)/(-b*h+2*c*g))^(2/3)+2^(1/3)*(1+3*h*(2*c*x+b)/(-b*h+2*c*g))^(1/3))/f/(-(-2*b*h+c*g)*(b*h+c*g)/c/h^2+9*b*x+9*c*x^2)^(1/3),1]]: