lst:=[[1/(x^2-4*x+4)/(x^2-4*x+5),x,4,1/(2-x)+arctan(2-x),1],
[(c*x^2+a)^p*(a*d+a*e*x+c*d*(3+2*p)*x^2),x,1,1/2*(a*e+2*c*d*(p+1)*x)*(c*x^2+a)^(p+1)/c/(p+1),1],
[(c*x^2+a)^p*(a*d+b*c*(3+2*p)*x+c*d*(3+2*p)*x^2),x,1,(b*(3+2*p)+2*d*(p+1)*x)*(c*x^2+a)^(p+1)/(2*p+2),1],
[(c*x^2+a)^(1/4*(2*a*c*f-6*c^2*d)/c^2/d)*(f*x^2+e*x+d),x,1,-d*(a*e-(-a*f+c*d)*x)*(c*x^2+a)^(-1/2+1/2*a*f/c/d)/a/(-a*f+c*d),1],
[(c*x^2+a)^2*(-14*c^2*d*x^2-2*a*c*e*x-2*a*c*d),x,1,-1/3*(6*c*d*x+a*e)*(c*x^2+a)^3,1],
[(c*x^2+a)*(-10*c^2*d*x^2-2*a*c*e*x-2*a*c*d),x,1,-1/2*(4*c*d*x+a*e)*(c*x^2+a)^2,1],
[-6*c^2*d*x^2-2*a*c*e*x-2*a*c*d,x,1,-2*c^2*d*x^3-a*c*e*x^2-2*a*c*d*x,1],
[(-2*c^2*d*x^2-2*a*c*e*x-2*a*c*d)/(c*x^2+a),x,3,-2*c*d*x-a*e*ln(c*x^2+a),1],
[(2*c^2*d*x^2-2*a*c*e*x-2*a*c*d)/(c*x^2+a)^2,x,1,(-2*c*d*x+a*e)/(c*x^2+a),1],
[(6*c^2*d*x^2-2*a*c*e*x-2*a*c*d)/(c*x^2+a)^3,x,1,1/2*(-4*c*d*x+a*e)/(c*x^2+a)^2,1],
[(10*c^2*d*x^2-2*a*c*e*x-2*a*c*d)/(c*x^2+a)^4,x,1,1/3*(-6*c*d*x+a*e)/(c*x^2+a)^3,1],
[(14*c^2*d*x^2-2*a*c*e*x-2*a*c*d)/(c*x^2+a)^5,x,1,1/4*(-8*c*d*x+a*e)/(c*x^2+a)^4,1],
[(c*x^2+b*x+a)^p*(d*(b^2*p-2*a*c+2*b^2)-2*c^2*d*(3+2*p)*x^2),x,1,d*(b*(2+p)-2*c*(p+1)*x)*(c*x^2+b*x+a)^(p+1)/(p+1),1],
[(c*x^2+b*x+a)^((2*a*c*f-2*b^2*f-6*c^2*d)/(b^2*f+4*c^2*d))*(f*x^2+d),x,1,-(b^2*f+4*c^2*d)*(b*(a*f+c*d)+(-2*a*c*f+b^2*f+2*c^2*d)*x)/c/(-4*a*c+b^2)/(-2*a*c*f+b^2*f+2*c^2*d)/((c*x^2+b*x+a)^((-2*a*c*f+b^2*f+2*c^2*d)/(b^2*f+4*c^2*d))),1],
[(c*x^2+b*x+a)^2*((-2*a*c+4*b^2)*d-14*c^2*d*x^2),x,1,2/3*d*(-3*c*x+2*b)*(c*x^2+b*x+a)^3,1],
[(c*x^2+b*x+a)*((-2*a*c+3*b^2)*d-10*c^2*d*x^2),x,1,1/2*d*(-4*c*x+3*b)*(c*x^2+b*x+a)^2,1],
[(-2*a*c+2*b^2)*d-6*c^2*d*x^2,x,1,2*(-a*c+b^2)*d*x-2*c^2*d*x^3,1],
[((-2*a*c+b^2)*d-2*c^2*d*x^2)/(c*x^2+b*x+a),x,3,-2*c*d*x+b*d*ln(c*x^2+b*x+a),1],
[(2*c^2*d*x^2-2*a*c*d)/(c*x^2+b*x+a)^2,x,1,-2*c*d*x/(c*x^2+b*x+a),1],
[((-2*a*c-b^2)*d+6*c^2*d*x^2)/(c*x^2+b*x+a)^3,x,1,1/2*d*(-4*c*x+b)/(c*x^2+b*x+a)^2,1],
[((-2*a*c-2*b^2)*d+10*c^2*d*x^2)/(c*x^2+b*x+a)^4,x,1,2/3*d*(-3*c*x+b)/(c*x^2+b*x+a)^3,1],
[((-2*a*c-3*b^2)*d+14*c^2*d*x^2)/(c*x^2+b*x+a)^5,x,1,1/4*d*(-8*c*x+3*b)/(c*x^2+b*x+a)^4,1],
[(c*x^2+b*x+a)^p*(d*(b^2*p-2*a*c+2*b^2)+e*(b^2*p-2*a*c+2*b^2)*x-c*(-b*e+2*c*d)*(3+2*p)*x^2),x,1,-(a*e-b*d*(2+p)+(-b*e+2*c*d)*(p+1)*x)*(c*x^2+b*x+a)^(p+1)/(p+1),1],
[(c*x^2+b*x+a)^p*(-b*c*f*(3+2*p)+d*(b^2*p-2*a*c+2*b^2)-2*c^2*f*(3+2*p)*x-2*c^2*d*(3+2*p)*x^2),x,1,(b*d*(2+p)-c*f*(3+2*p)-2*c*d*(p+1)*x)*(c*x^2+b*x+a)^(p+1)/(p+1),1],
[(c*x^2+b*x+a)^((2*a*c*f-2*b^2*f+3*b*c*e-6*c^2*d)/(b^2*f-2*b*c*e+4*c^2*d))*(f*x^2+e*x+d),x,1,-(b^2*f-2*b*c*e+4*c^2*d)*(b*c*d-2*a*c*e+a*b*f+(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*x)/c/(-4*a*c+b^2)/(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)/((c*x^2+b*x+a)^((-2*a*c*f+b^2*f-b*c*e+2*c^2*d)/(b^2*f-2*b*c*e+4*c^2*d))),1],
[(c*x^2+b*x+a)^2*((-2*a*c+4*b^2)*d+(-2*a*c+4*b^2)*e*x-7*c*(-b*e+2*c*d)*x^2),x,1,1/3*(4*b*d-a*e-3*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^3,1],
[(c*x^2+b*x+a)*((-2*a*c+3*b^2)*d+(-2*a*c+3*b^2)*e*x-5*c*(-b*e+2*c*d)*x^2),x,1,1/2*(3*b*d-a*e-2*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^2,1],
[(-2*a*c+2*b^2)*d+(-2*a*c+2*b^2)*e*x-3*c*(-b*e+2*c*d)*x^2,x,1,2*(-a*c+b^2)*d*x+(-a*c+b^2)*e*x^2-c*(-b*e+2*c*d)*x^3,1],
[((-2*a*c+b^2)*d+(-2*a*c+b^2)*e*x-c*(-b*e+2*c*d)*x^2)/(c*x^2+b*x+a),x,3,-(-b*e+2*c*d)*x+(-a*e+b*d)*ln(c*x^2+b*x+a),1],
[(-2*a*c*d-2*a*c*e*x+c*(-b*e+2*c*d)*x^2)/(c*x^2+b*x+a)^2,x,1,(a*e-(-b*e+2*c*d)*x)/(c*x^2+b*x+a),1],
[((-2*a*c-b^2)*d+(-2*a*c-b^2)*e*x+3*c*(-b*e+2*c*d)*x^2)/(c*x^2+b*x+a)^3,x,1,1/2*(b*d+a*e-2*(-b*e+2*c*d)*x)/(c*x^2+b*x+a)^2,1],
[((-2*a*c-2*b^2)*d+(-2*a*c-2*b^2)*e*x+5*c*(-b*e+2*c*d)*x^2)/(c*x^2+b*x+a)^4,x,1,1/3*(2*b*d+a*e-3*(-b*e+2*c*d)*x)/(c*x^2+b*x+a)^3,1],
[((-2*a*c-3*b^2)*d+(-2*a*c-3*b^2)*e*x+7*c*(-b*e+2*c*d)*x^2)/(c*x^2+b*x+a)^5,x,1,1/4*(3*b*d+a*e-4*(-b*e+2*c*d)*x)/(c*x^2+b*x+a)^4,1],
[(a+b*x+b*f*x^2/e)/sqrt(f*x^2+e*x+d),x,4,1/4*b*sqrt(f*x^2+e*x+d)/f+1/2*b*x*sqrt(f*x^2+e*x+d)/e+1/8*(8*a*f-b*(e+4*d*f/e))*arctanh(1/2*(2*f*x+e)/sqrt(f)/sqrt(f*x^2+e*x+d))/f^(3/2),1],
[1/sqrt(f*x^2+e*x+d)/(a+b*x+b*f*x^2/e),x,2,-2*sqrt(e)*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))/sqrt(-a*e+b*d)/sqrt(-4*a*f+b*e),1],
[1/sqrt(c*x^2+b*x+a)/(c*x^2+b*x+d),x,2,-2*arctanh(sqrt(a-d)*(2*c*x+b)/sqrt(b^2-4*c*d)/sqrt(c*x^2+b*x+a))/sqrt(a-d)/sqrt(b^2-4*c*d),1],
[1/sqrt(c*x^2+b*x+a)/(c*x^2+b*x+d)^2,x,4,-(2*c*x+b)*sqrt(c*x^2+b*x+a)/(a-d)/(b^2-4*c*d)/(c*x^2+b*x+d)+(b^2+4*c*(a-2*d))*arctanh(sqrt(a-d)*(2*c*x+b)/sqrt(b^2-4*c*d)/sqrt(c*x^2+b*x+a))/(a-d)^(3/2)/(b^2-4*c*d)^(3/2),1],
[1/sqrt(c*x^2+b*x+a)/(c*x^2+b*x+d)^3,x,5,-1/2*(2*c*x+b)*sqrt(c*x^2+b*x+a)/(a-d)/(b^2-4*c*d)/(c*x^2+b*x+d)^2+3/4*(b^2+4*c*(a-2*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/(a-d)^2/(b^2-4*c*d)^2/(c*x^2+b*x+d)-1/4*(3*b^4+8*b^2*c*(a-4*d)+16*c^2*(3*a^2-8*a*d+8*d^2))*arctanh(sqrt(a-d)*(2*c*x+b)/sqrt(b^2-4*c*d)/sqrt(c*x^2+b*x+a))/(a-d)^(5/2)/(b^2-4*c*d)^(5/2),1],
[1/sqrt(c*x^2+b*x+a)/(c*x^2+b*x+d)^4,x,6,-1/3*(2*c*x+b)*sqrt(c*x^2+b*x+a)/(a-d)/(b^2-4*c*d)/(c*x^2+b*x+d)^3+5/12*(b^2+4*c*(a-2*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/(a-d)^2/(b^2-4*c*d)^2/(c*x^2+b*x+d)^2-1/24*(15*b^4+8*b^2*c*(7*a-22*d)+16*c^2*(15*a^2-44*a*d+44*d^2))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/(a-d)^3/(b^2-4*c*d)^3/(c*x^2+b*x+d)+1/8*(b^2+4*c*(a-2*d))*(5*b^4-8*b^2*c*(a+4*d)+16*c^2*(5*a^2-8*a*d+8*d^2))*arctanh(sqrt(a-d)*(2*c*x+b)/sqrt(b^2-4*c*d)/sqrt(c*x^2+b*x+a))/(a-d)^(7/2)/(b^2-4*c*d)^(7/2),1],
[1/sqrt(f*x^2+e*x+d)/(b*f*x^2+b*e*x+a*e)^2,x,4,-b*(2*f*x+e)*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)-(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)/(-4*a*f+b*e)^(3/2),1],
[1/(x^2+2*x+4)/sqrt(x^2+2*x+5),x,2,arctan((1+x)/sqrt(3)/sqrt(x^2+2*x+5))/sqrt(3),1],
[(a+1/2*e*x+c*x^2)^p*(2*c*x^2+e*x+2*a)^q,x,3,2^(-2-4*p-3*q)*(4*c*x+e)*(2*c*x^2+e*x+2*a)^(p+q)*(c*(2*c*x^2+e*x+2*a)/(16*a*c-e^2))^(-p-q)*hypergeom([1/2, -p-q],[3/2],-(4*c*x+e)^2/(16*a*c-e^2))/c,1],
[(a+c*e*x/f+c*x^2)^p*(a*f/c+e*x+f*x^2)^q,x,3,2^(-1-2*p-2*q)*(2*f*x+e)*(a+c*e*x/f+c*x^2)^p*(a*f/c+e*x+f*x^2)^q*(-c*f*(a*f/c+e*x+f*x^2)/(-4*a*f^2+c*e^2))^(-p-q)*hypergeom([1/2, -p-q],[3/2],c*(2*f*x+e)^2/(-4*a*f^2+c*e^2))/f,1],
[(2*x^2-x+3)*(5*x^2+3*x+2)^4,x,2,48*x+136*x^2+1064/3*x^3+656*x^4+5099/5*x^5+2377/2*x^6+1176*x^7+3415/4*x^8+5075/9*x^9+475/2*x^10+1250/11*x^11,1],
[(2*x^2-x+3)*(5*x^2+3*x+2)^3,x,2,24*x+50*x^2+322/3*x^3+579/4*x^4+876/5*x^5+134*x^6+720/7*x^7+325/8*x^8+250/9*x^9,1],
[(2*x^2-x+3)*(5*x^2+3*x+2)^2,x,2,12*x+16*x^2+83/3*x^3+85/4*x^4+103/5*x^5+35/6*x^6+50/7*x^7,1],
[(2*x^2-x+3)*(5*x^2+3*x+2),x,2,6*x+7/2*x^2+16/3*x^3+1/4*x^4+2*x^5,1],
[(2*x^2-x+3)/(5*x^2+3*x+2),x,6,2/5*x+143/25*arctan((3+10*x)/sqrt(31))/sqrt(31)-11/50*ln(5*x^2+3*x+2),1],
[(2*x^2-x+3)/(5*x^2+3*x+2)^2,x,3,11*(7+13*x)/(775*x^2+465*x+310)+82/31*arctan((3+10*x)/sqrt(31))/sqrt(31),1],
[(2*x^2-x+3)/(5*x^2+3*x+2)^3,x,4,11/310*(7+13*x)/(5*x^2+3*x+2)^2+553*(3+10*x)/(48050*x^2+28830*x+19220)+1106/961*arctan((3+10*x)/sqrt(31))/sqrt(31),1],
[(2*x^2-x+3)^2*(5*x^2+3*x+2)^4,x,2,144*x+384*x^2+3016/3*x^3+1838*x^4+14801/5*x^5+10771/3*x^6+27763/7*x^7+3315*x^8+24859/9*x^9+1571*x^10+11525/11*x^11+875/3*x^12+2500/13*x^13,1],
[(2*x^2-x+3)^2*(5*x^2+3*x+2)^3,x,2,72*x+138*x^2+914/3*x^3+1615/4*x^4+2693/5*x^5+449*x^6+444*x^7+1863/8*x^8+1865/9*x^9+40*x^10+500/11*x^11,1],
[(2*x^2-x+3)^2*(5*x^2+3*x+2)^2,x,2,36*x+42*x^2+241/3*x^3+59*x^4+78*x^5+86/3*x^6+321/7*x^7+5/2*x^8+100/9*x^9,1],
[(2*x^2-x+3)^2*(5*x^2+3*x+2),x,2,18*x+15/2*x^2+53/3*x^3+1/4*x^4+61/5*x^5-4/3*x^6+20/7*x^7,1],
[(2*x^2-x+3)^2/(5*x^2+3*x+2),x,6,381/125*x-16/25*x^2+4/15*x^3+8349/625*arctan((3+10*x)/sqrt(31))/sqrt(31)-1573/1250*ln(5*x^2+3*x+2),1],
[(2*x^2-x+3)^2/(5*x^2+3*x+2)^2,x,7,4/25*x+121*(61+69*x)/(19375*x^2+11625*x+7750)+41932/3875*arctan((3+10*x)/sqrt(31))/sqrt(31)-22/125*ln(5*x^2+3*x+2),1],
[(2*x^2-x+3)^2/(5*x^2+3*x+2)^3,x,4,121/7750*(61+69*x)/(5*x^2+3*x+2)^2+11*(17557+45710*x)/(1201250*x^2+720750*x+480500)+4330/961*arctan((3+10*x)/sqrt(31))/sqrt(31),1],
[(2*x^2-x+3)^2/(5*x^2+3*x+2)^4,x,5,121/11625*(61+69*x)/(5*x^2+3*x+2)^3+11/120125*(4579+12060*x)/(5*x^2+3*x+2)^2+16688*(3+10*x)/(744775*x^2+446865*x+297910)+66752/29791*arctan((3+10*x)/sqrt(31))/sqrt(31),1],
[(2*x^2-x+3)^3*(5*x^2+3*x+2)^4,x,2,432*x+1080*x^2+2856*x^3+5144*x^4+43083/5*x^5+64529/6*x^6+91349/7*x^7+94881/8*x^8+103583/9*x^9+75311/10*x^10+68583/11*x^11+30395/12*x^12+27050/13*x^13+2250/7*x^14+1000/3*x^15,1],
[(2*x^2-x+3)^3*(5*x^2+3*x+2)^3,x,2,216*x+378*x^2+870*x^3+4483/4*x^4+8292/5*x^5+2873/2*x^6+12016/7*x^7+7869/8*x^8+3316/3*x^9+3061/10*x^10+4830/11*x^11+25*x^12+1000/13*x^13,1],
[(2*x^2-x+3)^3*(5*x^2+3*x+2)^2,x,2,108*x+108*x^2+237*x^3+635/4*x^4+1416/5*x^5+299/3*x^6+1571/7*x^7+83/8*x^8+922/9*x^9-6*x^10+200/11*x^11,1],
[(2*x^2-x+3)^3*(5*x^2+3*x+2),x,2,54*x+27/2*x^2+60*x^3-5*x^4+288/5*x^5-83/6*x^6+190/7*x^7-9/2*x^8+40/9*x^9,1],
[(2*x^2-x+3)^3/(5*x^2+3*x+2),x,6,49508/3125*x-7451/1250*x^2+1222/375*x^3-21/25*x^4+8/25*x^5+328757/15625*arctan((3+10*x)/sqrt(31))/sqrt(31)-158389/31250*ln(5*x^2+3*x+2),1],
[(2*x^2-x+3)^3/(5*x^2+3*x+2)^2,x,7,1466/625*x-54/125*x^2+8/75*x^3+1331*(443+247*x)/(484375*x^2+290625*x+193750)+3819607/96875*arctan((3+10*x)/sqrt(31))/sqrt(31)-10769/6250*ln(5*x^2+3*x+2),1],
[(2*x^2-x+3)^3/(5*x^2+3*x+2)^3,x,8,8/125*x+1331/193750*(443+247*x)/(5*x^2+3*x+2)^2+121*(188381+342840*x)/(30031250*x^2+18018750*x+12012500)+11341176/600625*arctan((3+10*x)/sqrt(31))/sqrt(31)-66/625*ln(5*x^2+3*x+2),1],
[(5*x^2+3*x+2)^4/(2*x^2-x+3),x,6,122691/128*x-28747/128*x^2-21229/96*x^3+6245/64*x^4+1855/8*x^5+3625/24*x^6+625/14*x^7+1156639/256*arctan((1-4*x)/sqrt(23))/sqrt(23)+307461/512*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)^3/(2*x^2-x+3),x,6,-4795/32*x-829/32*x^2+965/24*x^3+575/16*x^4+25/2*x^5-59895/64*arctan((1-4*x)/sqrt(23))/sqrt(23)+1331/128*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)^2/(2*x^2-x+3),x,6,51/8*x+85/8*x^2+25/6*x^3+847/16*arctan((1-4*x)/sqrt(23))/sqrt(23)-363/32*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)/(2*x^2-x+3),x,6,5/2*x+33/4*arctan((1-4*x)/sqrt(23))/sqrt(23)+11/8*ln(2*x^2-x+3),1],
[1/(2*x^2-x+3)/(5*x^2+3*x+2),x,9,3/22*arctan((1-4*x)/sqrt(23))/sqrt(23)+13/22*arctan((3+10*x)/sqrt(31))/sqrt(31)-1/44*ln(2*x^2-x+3)+1/44*ln(5*x^2+3*x+2),1],
[1/(2*x^2-x+3)/(5*x^2+3*x+2)^2,x,11,(4+65*x)/(3410*x^2+2046*x+1364)+7/484*arctan((1-4*x)/sqrt(23))/sqrt(23)+2891/15004*arctan((3+10*x)/sqrt(31))/sqrt(31)+3/968*ln(2*x^2-x+3)-3/968*ln(5*x^2+3*x+2),1],
[1/(2*x^2-x+3)/(5*x^2+3*x+2)^3,x,12,1/1364*(4+65*x)/(5*x^2+3*x+2)^2+(7923+21605*x)/(2325620*x^2+1395372*x+930248)-45/10648*arctan((1-4*x)/sqrt(23))/sqrt(23)+847793/10232728*arctan((3+10*x)/sqrt(31))/sqrt(31)-1/21296*ln(2*x^2-x+3)+1/21296*ln(5*x^2+3*x+2),1],
[(5*x^2+3*x+2)^4/(2*x^2-x+3)^2,x,7,-89359/64*x-1185/8*x^2+9775/48*x^3+2125/16*x^4+125/4*x^5-14641*(101+79*x)/(5888*x^2-2944*x+8832)-13292697/1472*arctan((1-4*x)/sqrt(23))/sqrt(23)-30613/128*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)^3/(2*x^2-x+3)^2,x,7,915/16*x+175/4*x^2+125/12*x^3-1331*(17-45*x)/(1472*x^2-736*x+2208)+223971/368*arctan((1-4*x)/sqrt(23))/sqrt(23)-2057/32*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)^2/(2*x^2-x+3)^2,x,7,25/4*x+121*(19-7*x)/(368*x^2-184*x+552)+1859/92*arctan((1-4*x)/sqrt(23))/sqrt(23)+55/8*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)/(2*x^2-x+3)^2,x,3,(-55-33*x)/(92*x^2-46*x+138)-82/23*arctan((1-4*x)/sqrt(23))/sqrt(23),1],
[1/(2*x^2-x+3)^2/(5*x^2+3*x+2),x,11,(13-6*x)/(1012*x^2-506*x+1518)+241/11132*arctan((1-4*x)/sqrt(23))/sqrt(23)+69/484*arctan((3+10*x)/sqrt(31))/sqrt(31)-13/968*ln(2*x^2-x+3)+13/968*ln(5*x^2+3*x+2),1],
[1/(2*x^2-x+3)^2/(5*x^2+3*x+2)^2,x,12,(-2925+3425*x)/(862730*x^2+517638*x+345092)+1/506*(13-6*x)/(2*x^2-x+3)/(5*x^2+3*x+2)+2769/122452*arctan((1-4*x)/sqrt(23))/sqrt(23)+12643/165044*arctan((3+10*x)/sqrt(31))/sqrt(31)+19/10648*ln(2*x^2-x+3)-19/10648*ln(5*x^2+3*x+2),1],
[1/(2*x^2-x+3)^2/(5*x^2+3*x+2)^3,x,13,1/690184*(-9446+5765*x)/(5*x^2+3*x+2)^2+1/506*(13-6*x)/(2*x^2-x+3)/(5*x^2+3*x+2)^2+(1765599+3996965*x)/(1176763720*x^2+706058232*x+470705488)-25557/5387888*arctan((1-4*x)/sqrt(23))/sqrt(23)+4464079/225120016*arctan((3+10*x)/sqrt(31))/sqrt(31)+97/468512*ln(2*x^2-x+3)-97/468512*ln(5*x^2+3*x+2),1],
[(5*x^2+3*x+2)^4/(2*x^2-x+3)^3,x,8,2725/8*x+4875/32*x^2+625/24*x^3-14641/5888*(101+79*x)/(2*x^2-x+3)^2+1331*(5229+76420*x)/(270848*x^2-135424*x+406272)+63799791/16928*arctan((1-4*x)/sqrt(23))/sqrt(23)-13915/64*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)^3/(2*x^2-x+3)^3,x,8,125/8*x-1331/1472*(17-45*x)/(2*x^2-x+3)^2+121*(21193-12828*x)/(67712*x^2-33856*x+101568)+165099/8464*arctan((1-4*x)/sqrt(23))/sqrt(23)+825/32*ln(2*x^2-x+3),1],
[(5*x^2+3*x+2)^2/(2*x^2-x+3)^3,x,4,121/368*(19-7*x)/(2*x^2-x+3)^2-55*(975+332*x)/(16928*x^2-8464*x+25392)-4330/529*arctan((1-4*x)/sqrt(23))/sqrt(23),1],
[(5*x^2+3*x+2)/(2*x^2-x+3)^3,x,4,1/92*(-55-33*x)/(2*x^2-x+3)^2-131*(1-4*x)/(4232*x^2-2116*x+6348)-262/529*arctan((1-4*x)/sqrt(23))/sqrt(23),1],
[1/(2*x^2-x+3)^3/(5*x^2+3*x+2),x,12,1/1012*(13-6*x)/(2*x^2-x+3)^2+(3625-746*x)/(512072*x^2-256036*x+768108)-53403/5632792*arctan((1-4*x)/sqrt(23))/sqrt(23)+247/10648*arctan((3+10*x)/sqrt(31))/sqrt(31)-119/21296*ln(2*x^2-x+3)+119/21296*ln(5*x^2+3*x+2),1],
[1/(2*x^2-x+3)^3/(5*x^2+3*x+2)^2,x,13,(-2328909-252815*x)/(873082760*x^2+523849656*x+349233104)+1/1012*(13-6*x)/(2*x^2-x+3)^2/(5*x^2+3*x+2)+1/512072*(9665-1446*x)/(2*x^2-x+3)/(5*x^2+3*x+2)+2038497/123921424*arctan((1-4*x)/sqrt(23))/sqrt(23)+246757/7261936*arctan((3+10*x)/sqrt(31))/sqrt(31)+181/468512*ln(2*x^2-x+3)-181/468512*ln(5*x^2+3*x+2),1],
[1/(2*x^2-x+3)^3/(5*x^2+3*x+2)^3,x,14,1/87308276*(-1118535-385100*x)/(5*x^2+3*x+2)^2+1/1012*(13-6*x)/(2*x^2-x+3)^2/(5*x^2+3*x+2)^2+5/64009*(302-35*x)/(2*x^2-x+3)/(5*x^2+3*x+2)^2+15*(2618306+7140435*x)/(74430305290*x^2+44658183174*x+29772122116)-880575/340783916*arctan((1-4*x)/sqrt(23))/sqrt(23)+2768835/619080044*arctan((3+10*x)/sqrt(31))/sqrt(31)+405/1288408*ln(2*x^2-x+3)-405/1288408*ln(5*x^2+3*x+2),1],
[(C*x^2+B*x+A)/(b*x^2+a)^2,x,2,-1/2*(a*B-(A*b-C*a)*x)/a/b/(b*x^2+a)+1/2*(A*b+C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(3/2),1],
[(A+x*(C*x+B))/(b*x^2+a)^2,x,3,-1/2*(a*B-(A*b-C*a)*x)/a/b/(b*x^2+a)+1/2*(A*b+C*a)*arctan(sqrt(b)*x/sqrt(a))/a^(3/2)/b^(3/2),1],
[1/(2-3*x)/(5+x)/(c*x^2+b*x+a),x,6,(-6*a*c+3*b^2-13*b*c-20*c^2)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(9*a+6*b+4*c)/(a-5*b+25*c)/sqrt(-4*a*c+b^2)-9*ln(2-3*x)/(153*a+102*b+68*c)+ln(5+x)/(17*a-85*b+425*c)-1/2*(3*b-13*c)*ln(c*x^2+b*x+a)/(9*a+6*b+4*c)/(a-5*b+25*c),1],
[1/(-3*x^2-13*x+10)/(c*x^2+b*x+a),x,7,(-6*a*c+3*b^2-13*b*c-20*c^2)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(9*a+6*b+4*c)/(a-5*b+25*c)/sqrt(-4*a*c+b^2)-9*ln(2-3*x)/(153*a+102*b+68*c)+ln(5+x)/(17*a-85*b+425*c)-1/2*(3*b-13*c)*ln(c*x^2+b*x+a)/(9*a+6*b+4*c)/(a-5*b+25*c),1],
[(x^2+1)/(x^2-x),x,5,x+2*ln(1-x)-ln(x),1],
[sqrt(2*x^2-x+3)*(5*x^2+3*x+2)^4,x,11,-359471503/67108864*(1-4*x)*sqrt(2*x^2-x+3)+27185733541/440401920*(2*x^2-x+3)^(3/2)+804243809/36700160*x*(2*x^2-x+3)^(3/2)-83948353/2293760*x^2*(2*x^2-x+3)^(3/2)+8325631/1032192*x^3*(2*x^2-x+3)^(3/2)+4796405/43008*x^4*(2*x^2-x+3)^(3/2)+233225/1536*x^5*(2*x^2-x+3)^(3/2)+14125/144*x^6*(2*x^2-x+3)^(3/2)+125/4*x^7*(2*x^2-x+3)^(3/2)-8267844569/134217728*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^2+3*x+2)^3,x,9,-6766097/2097152*(1-4*x)*sqrt(2*x^2-x+3)-22548119/4587520*(2*x^2-x+3)^(3/2)-9627393/1146880*x*(2*x^2-x+3)^(3/2)+531681/71680*x^2*(2*x^2-x+3)^(3/2)+247435/10752*x^3*(2*x^2-x+3)^(3/2)+8825/448*x^4*(2*x^2-x+3)^(3/2)+125/16*x^5*(2*x^2-x+3)^(3/2)-155620231/4194304*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^2+3*x+2)^2,x,7,12371/16384*(1-4*x)*sqrt(2*x^2-x+3)-2107/3072*(2*x^2-x+3)^(3/2)+769/256*x*(2*x^2-x+3)^(3/2)+63/16*x^2*(2*x^2-x+3)^(3/2)+25/12*x^3*(2*x^2-x+3)^(3/2)+284533/32768*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[sqrt(2*x^2-x+3)*(5*x^2+3*x+2),x,5,-81/512*(1-4*x)*sqrt(2*x^2-x+3)+73/96*(2*x^2-x+3)^(3/2)+5/8*x*(2*x^2-x+3)^(3/2)-1863/1024*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[sqrt(2*x^2-x+3)/(5*x^2+3*x+2),x,8,-1/5*sqrt(2)*arcsinh((1-4*x)/sqrt(23))+1/5*sqrt(143/31+110/31*sqrt(2))*arctan(sqrt(11/(806+620*sqrt(2)))*(6+7*sqrt(2)+(20+13*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/5*sqrt(-143/31+110/31*sqrt(2))*arctanh(sqrt(11/(-806+620*sqrt(2)))*(6-7*sqrt(2)+(20-13*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[sqrt(2*x^2-x+3)/(5*x^2+3*x+2)^2,x,6,(3+10*x)*sqrt(2*x^2-x+3)/(155*x^2+93*x+62)+1/62*sqrt(70517/682+24971/341*sqrt(2))*arctan(sqrt(11/(2186027+1548202*sqrt(2)))*(419+277*sqrt(2)+(973+696*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/62*sqrt(-70517/682+24971/341*sqrt(2))*arctanh(sqrt(11/(-2186027+1548202*sqrt(2)))*(419-277*sqrt(2)+(973-696*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[sqrt(2*x^2-x+3)/(5*x^2+3*x+2)^3,x,7,1/62*(3+10*x)*sqrt(2*x^2-x+3)/(5*x^2+3*x+2)^2+(3464+13665*x)*sqrt(2*x^2-x+3)/(422840*x^2+253704*x+169136)+1/169136*sqrt(112285869463/682+39699690370/341*sqrt(2))*arctan(sqrt(11/(3480861953353+2461380802940*sqrt(2)))*(509587+362788*sqrt(2)+(1235163+872375*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/169136*sqrt(-112285869463/682+39699690370/341*sqrt(2))*arctanh(sqrt(11/(-3480861953353+2461380802940*sqrt(2)))*(509587-362788*sqrt(2)+(1235163-872375*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(2*x^2-x+3)^(3/2)*(5*x^2+3*x+2)^4,x,12,-26366414481/2147483648*(1-4*x)*sqrt(2*x^2-x+3)-382121949/134217728*(1-4*x)*(2*x^2-x+3)^(3/2)+2124689283/146800640*(2*x^2-x+3)^(5/2)+48669967/22020096*x*(2*x^2-x+3)^(5/2)-56422489/8257536*x^2*(2*x^2-x+3)^(5/2)+10444117/294912*x^3*(2*x^2-x+3)^(5/2)+941905/9216*x^4*(2*x^2-x+3)^(5/2)+95165/768*x^5*(2*x^2-x+3)^(5/2)+7625/96*x^6*(2*x^2-x+3)^(5/2)+625/24*x^7*(2*x^2-x+3)^(5/2)-606427533063/4294967296*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^2+3*x+2)^3,x,10,-46077855/33554432*(1-4*x)*sqrt(2*x^2-x+3)-667795/2097152*(1-4*x)*(2*x^2-x+3)^(3/2)-4625907/2293760*(2*x^2-x+3)^(5/2)-81685/114688*x*(2*x^2-x+3)^(5/2)+384739/43008*x^2*(2*x^2-x+3)^(5/2)+27785/1536*x^3*(2*x^2-x+3)^(5/2)+725/48*x^4*(2*x^2-x+3)^(5/2)+25/4*x^5*(2*x^2-x+3)^(5/2)-1059790665/67108864*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^2+3*x+2)^2,x,8,558739/1048576*(1-4*x)*sqrt(2*x^2-x+3)+24293/196608*(1-4*x)*(2*x^2-x+3)^(3/2)+73861/215040*(2*x^2-x+3)^(5/2)+24499/10752*x*(2*x^2-x+3)^(5/2)+1235/448*x^2*(2*x^2-x+3)^(5/2)+25/16*x^3*(2*x^2-x+3)^(5/2)+12850997/2097152*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)*(5*x^2+3*x+2),x,6,-4117/8192*(1-4*x)*sqrt(2*x^2-x+3)-179/1536*(1-4*x)*(2*x^2-x+3)^(3/2)+107/240*(2*x^2-x+3)^(5/2)+5/12*x*(2*x^2-x+3)^(5/2)-94691/16384*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2),x,10,-1/100*(49-20*x)*sqrt(2*x^2-x+3)-2203/1000*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+11/125*sqrt(2717/31+5500/31*sqrt(2))*arctan(sqrt(11/(15314+31000*sqrt(2)))*(8+61*sqrt(2)+(130+69*sqrt(2))*x)/sqrt(2*x^2-x+3))-11/125*sqrt(-2717/31+5500/31*sqrt(2))*arctanh(sqrt(11/(-15314+31000*sqrt(2)))*(8-61*sqrt(2)+(130-69*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^2,x,12,16/155*sqrt(2*x^2-x+3)-4/31*x*sqrt(2*x^2-x+3)+(3+10*x)*(2*x^2-x+3)^(3/2)/(155*x^2+93*x+62)-2/25*sqrt(2)*arcsinh((1-4*x)/sqrt(23))+1/1550*sqrt(34862663/31+24918850/31*sqrt(2))*arctan(sqrt(11/(196498646+140451700*sqrt(2)))*(3514+2963*sqrt(2)+(9440+6477*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/1550*sqrt(-34862663/31+24918850/31*sqrt(2))*arctanh(sqrt(11/(-196498646+140451700*sqrt(2)))*(3514-2963*sqrt(2)+(9440-6477*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^3,x,7,1/62*(3+10*x)*(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^2+3*(277+696*x)*sqrt(2*x^2-x+3)/(19220*x^2+11532*x+7688)+3/7688*sqrt(366990269/682+129754513/341*sqrt(2))*arctan(sqrt(11/(11376698339+8044779806*sqrt(2)))*(29367+20575*sqrt(2)+(70517+49942*sqrt(2))*x)/sqrt(2*x^2-x+3))-3/7688*sqrt(-366990269/682+129754513/341*sqrt(2))*arctanh(sqrt(11/(-11376698339+8044779806*sqrt(2)))*(29367-20575*sqrt(2)+(70517-49942*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(2*x^2-x+3)^(5/2)*(5*x^2+3*x+2)^4,x,13,-636602271789/34359738368*(1-4*x)*sqrt(2*x^2-x+3)-9226119881/2147483648*(1-4*x)*(2*x^2-x+3)^(3/2)-401135647/335544320*(1-4*x)*(2*x^2-x+3)^(5/2)+25250178739/5725224960*(2*x^2-x+3)^(7/2)+112244125/122683392*x*(2*x^2-x+3)^(7/2)+122595067/19169280*x^2*(2*x^2-x+3)^(7/2)+23460839/532480*x^3*(2*x^2-x+3)^(7/2)+3684995/39936*x^4*(2*x^2-x+3)^(7/2)+1046225/9984*x^5*(2*x^2-x+3)^(7/2)+13875/208*x^6*(2*x^2-x+3)^(7/2)+625/28*x^7*(2*x^2-x+3)^(7/2)-14641852251147/68719476736*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(5/2)*(5*x^2+3*x+2)^3,x,11,-459555525/1073741824*(1-4*x)*sqrt(2*x^2-x+3)-6660225/67108864*(1-4*x)*(2*x^2-x+3)^(3/2)-57915/2097152*(1-4*x)*(2*x^2-x+3)^(5/2)-1696165/2752512*(2*x^2-x+3)^(7/2)+509257/294912*x*(2*x^2-x+3)^(7/2)+80483/9216*x^2*(2*x^2-x+3)^(7/2)+3823/256*x^3*(2*x^2-x+3)^(7/2)+1175/96*x^4*(2*x^2-x+3)^(7/2)+125/24*x^5*(2*x^2-x+3)^(7/2)-10569777075/2147483648*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(5/2)*(5*x^2+3*x+2)^2,x,9,-4091815/16777216*(1-4*x)*sqrt(2*x^2-x+3)-177905/3145728*(1-4*x)*(2*x^2-x+3)^(3/2)-1547/98304*(1-4*x)*(2*x^2-x+3)^(5/2)+23225/43008*(2*x^2-x+3)^(7/2)+8467/4608*x*(2*x^2-x+3)^(7/2)+305/144*x^2*(2*x^2-x+3)^(7/2)+5/4*x^3*(2*x^2-x+3)^(7/2)-94111745/33554432*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(5/2)*(5*x^2+3*x+2),x,7,-732665/524288*(1-4*x)*sqrt(2*x^2-x+3)-31855/98304*(1-4*x)*(2*x^2-x+3)^(3/2)-277/3072*(1-4*x)*(2*x^2-x+3)^(5/2)+141/448*(2*x^2-x+3)^(7/2)+5/16*x*(2*x^2-x+3)^(7/2)-16851295/1048576*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2),x,12,-226249/80000*sqrt(2*x^2-x+3)+4981/4000*x*sqrt(2*x^2-x+3)-1/600*(103-60*x)*(2*x^2-x+3)^(3/2)-7216203/800000*arcsinh((1-4*x)/sqrt(23))/sqrt(2)-121/3125*sqrt(-170027/31+275000/31*sqrt(2))*arctan(sqrt(11/(-958334+1550000*sqrt(2)))*(196-443*sqrt(2)-(690+247*sqrt(2))*x)/sqrt(2*x^2-x+3))+121/3125*sqrt(170027/31+275000/31*sqrt(2))*arctanh(sqrt(11/(958334+1550000*sqrt(2)))*(196+443*sqrt(2)-(690-247*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^2,x,14,1123/7750*sqrt(2*x^2-x+3)-604/775*x*sqrt(2*x^2-x+3)+52/155*x^2*sqrt(2*x^2-x+3)-8/31*x^3*sqrt(2*x^2-x+3)+(3+10*x)*(2*x^2-x+3)^(5/2)/(155*x^2+93*x+62)-4799/2500*arcsinh((1-4*x)/sqrt(23))/sqrt(2)+11/38750*sqrt(2469614213/31+2139362500/31*sqrt(2))*arctan(sqrt(11/(13919643746+12058225000*sqrt(2)))*(21136+33287*sqrt(2)+(87710+54423*sqrt(2))*x)/sqrt(2*x^2-x+3))-11/38750*sqrt(-2469614213/31+2139362500/31*sqrt(2))*arctanh(sqrt(11/(-13919643746+12058225000*sqrt(2)))*(21136-33287*sqrt(2)+(87710-54423*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^3,x,13,38/775*sqrt(2*x^2-x+3)-4/155*x*sqrt(2*x^2-x+3)+1/62*(3+10*x)*(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^2+11*(8517+14843*x)*sqrt(2*x^2-x+3)/(480500*x^2+288300*x+192200)-4/125*sqrt(2)*arcsinh((1-4*x)/sqrt(23))+1/29791000*sqrt(11+44*sqrt(2))*(2937349+1978861*sqrt(2))*arctan(sqrt(11/(218922973868534+154928828417500*sqrt(2)))*(3957722+2937349*sqrt(2)+(9832420+6895071*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/29791000*(2937349-1978861*sqrt(2))*sqrt(-11+44*sqrt(2))*arctanh(sqrt(11/(-218922973868534+154928828417500*sqrt(2)))*(3957722-2937349*sqrt(2)+(9832420-6895071*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(5*x^2+3*x+2)^4/sqrt(2*x^2-x+3),x,10,16493087661/29360128*sqrt(2*x^2-x+3)+1572007407/7340032*x*sqrt(2*x^2-x+3)-15428243/131072*x^2*sqrt(2*x^2-x+3)-19750457/229376*x^3*sqrt(2*x^2-x+3)+686531/6144*x^4*sqrt(2*x^2-x+3)+2116475/10752*x^5*sqrt(2*x^2-x+3)+57375/448*x^6*sqrt(2*x^2-x+3)+625/16*x^7*sqrt(2*x^2-x+3)+2899366573/8388608*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)^3/sqrt(2*x^2-x+3),x,8,-203373/32768*sqrt(2*x^2-x+3)-372783/8192*x*sqrt(2*x^2-x+3)-3387/1024*x^2*sqrt(2*x^2-x+3)+8185/256*x^3*sqrt(2*x^2-x+3)+1355/48*x^4*sqrt(2*x^2-x+3)+125/12*x^5*sqrt(2*x^2-x+3)-9267707/65536*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)^2/sqrt(2*x^2-x+3),x,6,-11373/1024*sqrt(2*x^2-x+3)+3443/768*x*sqrt(2*x^2-x+3)+655/96*x^2*sqrt(2*x^2-x+3)+25/8*x^3*sqrt(2*x^2-x+3)+30725/2048*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)/sqrt(2*x^2-x+3),x,4,39/16*sqrt(2*x^2-x+3)+5/4*x*sqrt(2*x^2-x+3)+17/32*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[1/sqrt(2*x^2-x+3)/(5*x^2+3*x+2),x,5,sqrt(13/682+5/341*sqrt(2))*arctan(sqrt(11/(403+310*sqrt(2)))*(7+3*sqrt(2)+(13+10*sqrt(2))*x)/sqrt(2*x^2-x+3))-sqrt(-13/682+5/341*sqrt(2))*arctanh(sqrt(11/(-403+310*sqrt(2)))*(7-3*sqrt(2)+(13-10*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[1/sqrt(2*x^2-x+3)/(5*x^2+3*x+2)^2,x,6,(4+65*x)*sqrt(2*x^2-x+3)/(3410*x^2+2046*x+1364)+1/1364*sqrt(2343727/682+839350/341*sqrt(2))*arctan(sqrt(11/(72655537+52039700*sqrt(2)))*(2119+1816*sqrt(2)+(5751+3935*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/1364*sqrt(-2343727/682+839350/341*sqrt(2))*arctanh(sqrt(11/(-72655537+52039700*sqrt(2)))*(2119-1816*sqrt(2)+(5751-3935*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[1/sqrt(2*x^2-x+3)/(5*x^2+3*x+2)^3,x,7,1/1364*(4+65*x)*sqrt(2*x^2-x+3)/(5*x^2+3*x+2)^2+(26794+86265*x)*sqrt(2*x^2-x+3)/(9302480*x^2+5581488*x+3720992)+25/3720992*sqrt(6414867847/682+2268187300/341*sqrt(2))*arctan(sqrt(11/(198860903257+140627612600*sqrt(2)))*(123161+85754*sqrt(2)+(294669+208915*sqrt(2))*x)/sqrt(2*x^2-x+3))-25/3720992*sqrt(-6414867847/682+2268187300/341*sqrt(2))*arctanh(sqrt(11/(-198860903257+140627612600*sqrt(2)))*(123161-85754*sqrt(2)+(294669-208915*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(5*x^2+3*x+2)^4/(2*x^2-x+3)^(3/2),x,9,1/1472*(-1478741-1156639*x)/sqrt(2*x^2-x+3)-31009685/65536*sqrt(2*x^2-x+3)-8992487/16384*x*sqrt(2*x^2-x+3)-111315/2048*x^2*sqrt(2*x^2-x+3)+79425/512*x^3*sqrt(2*x^2-x+3)+10075/96*x^4*sqrt(2*x^2-x+3)+625/24*x^5*sqrt(2*x^2-x+3)-310445587/131072*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)^3/(2*x^2-x+3)^(3/2),x,7,1/368*(-22627+59895*x)/sqrt(2*x^2-x+3)-181561/2048*sqrt(2*x^2-x+3)+15565/512*x*sqrt(2*x^2-x+3)+1825/64*x^2*sqrt(2*x^2-x+3)+125/16*x^3*sqrt(2*x^2-x+3)+1168881/4096*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)^2/(2*x^2-x+3)^(3/2),x,5,121/92*(19-7*x)/sqrt(2*x^2-x+3)+415/32*sqrt(2*x^2-x+3)+25/8*x*sqrt(2*x^2-x+3)-223/64*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)/(2*x^2-x+3)^(3/2),x,3,1/23*(-55-33*x)/sqrt(2*x^2-x+3)-5/2*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[1/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2),x,6,1/253*(13-6*x)/sqrt(2*x^2-x+3)+1/22*sqrt(247/682+250/341*sqrt(2))*arctan(sqrt(11/(7657+15500*sqrt(2)))*(61+4*sqrt(2)+(69+65*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/22*sqrt(-247/682+250/341*sqrt(2))*arctanh(sqrt(11/(-7657+15500*sqrt(2)))*(61-4*sqrt(2)+(69-65*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[1/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^2,x,7,-1/345092*(6315-2306*x)/sqrt(2*x^2-x+3)+1/682*(4+65*x)/sqrt(2*x^2-x+3)/(5*x^2+3*x+2)+1/30008*sqrt(129694447/682+51887500/341*sqrt(2))*arctan(sqrt(11/(4020527857+3217025000*sqrt(2)))*(12611+16454*sqrt(2)+(45519+29065*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/30008*sqrt(-129694447/682+51887500/341*sqrt(2))*arctanh(sqrt(11/(-4020527857+3217025000*sqrt(2)))*(12611-16454*sqrt(2)+(45519-29065*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[1/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^3,x,8,-1/941410976*(4353943-6508666*x)/sqrt(2*x^2-x+3)+1/1364*(4+65*x)/sqrt(2*x^2-x+3)/(5*x^2+3*x+2)^2+5/1860496*(7318+17315*x)/sqrt(2*x^2-x+3)/(5*x^2+3*x+2)+3/81861824*sqrt(13874275807943/682+4909869325000/341*sqrt(2))*arctan(sqrt(11/(430102550046233+304411898150000*sqrt(2)))*(5538393+4123702*sqrt(2)+(13785797+9662095*sqrt(2))*x)/sqrt(2*x^2-x+3))-3/81861824*sqrt(-13874275807943/682+4909869325000/341*sqrt(2))*arctanh(sqrt(11/(-430102550046233+304411898150000*sqrt(2)))*(5538393-4123702*sqrt(2)+(13785797-9662095*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(5*x^2+3*x+2)^4/(2*x^2-x+3)^(5/2),x,8,1/4416*(-1478741-1156639*x)/(2*x^2-x+3)^(3/2)+1331/101568*(7409+116368*x)/sqrt(2*x^2-x+3)-1308645/4096*sqrt(2*x^2-x+3)+526075/3072*x*sqrt(2*x^2-x+3)+38375/384*x^2*sqrt(2*x^2-x+3)+625/32*x^3*sqrt(2*x^2-x+3)+16955197/8192*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)^3/(2*x^2-x+3)^(5/2),x,6,1/1104*(-22627+59895*x)/(2*x^2-x+3)^(3/2)+121/8464*(10679-6744*x)/sqrt(2*x^2-x+3)+3175/64*sqrt(2*x^2-x+3)+125/16*x*sqrt(2*x^2-x+3)-7495/128*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)^2/(2*x^2-x+3)^(5/2),x,4,121/276*(19-7*x)/(2*x^2-x+3)^(3/2)-11/6348*(7351+2336*x)/sqrt(2*x^2-x+3)-25/4*arcsinh((1-4*x)/sqrt(23))/sqrt(2),1],
[(5*x^2+3*x+2)/(2*x^2-x+3)^(5/2),x,2,1/69*(-55-33*x)/(2*x^2-x+3)^(3/2)-71/529*(1-4*x)/sqrt(2*x^2-x+3),1],
[1/(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2),x,7,1/759*(13-6*x)/(2*x^2-x+3)^(3/2)+1/128018*(3603-658*x)/sqrt(2*x^2-x+3)+1/484*sqrt(-15457/682+12500/341*sqrt(2))*arctan(sqrt(11/(-479167+775000*sqrt(2)))*(443-98*sqrt(2)+(247+345*sqrt(2))*x)/sqrt(2*x^2-x+3))-1/484*sqrt(15457/682+12500/341*sqrt(2))*arctanh(sqrt(11/(479167+775000*sqrt(2)))*(443+98*sqrt(2)+(247-345*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[1/(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^2,x,8,-1/1035276*(15101-8654*x)/(2*x^2-x+3)^(3/2)-1/523849656*(3133427+1352542*x)/sqrt(2*x^2-x+3)+1/682*(4+65*x)/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)+625/660176*sqrt(30463/682+11800/341*sqrt(2))*arctan(sqrt(11/(944353+731600*sqrt(2)))*(203+242*sqrt(2)+(687+445*sqrt(2))*x)/sqrt(2*x^2-x+3))-625/660176*sqrt(-30463/682+11800/341*sqrt(2))*arctanh(sqrt(11/(-944353+731600*sqrt(2)))*(203-242*sqrt(2)+(687-445*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[1/(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^3,x,9,-1/2824232928*(12280939-19536786*x)/(2*x^2-x+3)^(3/2)-1/476353953856*(1134826571-1504660754*x)/sqrt(2*x^2-x+3)+1/1364*(4+65*x)/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^2+1/1860496*(46386+86885*x)/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)+35/1800960128*sqrt(2243059557247/682+1005874250000/341*sqrt(2))*arctan(sqrt(11/(69534846274657+62364203500000*sqrt(2)))*(1432939+2428746*sqrt(2)+(6290431+3861685*sqrt(2))*x)/sqrt(2*x^2-x+3))-35/1800960128*sqrt(-2243059557247/682+1005874250000/341*sqrt(2))*arctanh(sqrt(11/(-69534846274657+62364203500000*sqrt(2)))*(1432939-2428746*sqrt(2)+(6290431-3861685*sqrt(2))*x)/sqrt(2*x^2-x+3)),1],
[(-2*x^2+x+4)^3*sqrt(5*x^2+3*x+2),x,9,364734979/160000000*(3+10*x)*sqrt(5*x^2+3*x+2)+461470657/84000000*(5*x^2+3*x+2)^(3/2)-44194603/14000000*x*(5*x^2+3*x+2)^(3/2)-938857/350000*x^2*(5*x^2+3*x+2)^(3/2)+25553/21000*x^3*(5*x^2+3*x+2)^(3/2)+159/350*x^4*(5*x^2+3*x+2)^(3/2)-1/5*x^5*(5*x^2+3*x+2)^(3/2)+11306784349/320000000*arcsinh((3+10*x)/sqrt(31))/sqrt(5),1],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d)^2,x,7,1/512*(128*c^4*d^2+21*b^4*f^2-56*b^2*c*f*(a*f+b*e)-32*c^3*(4*b*d*e+a*(2*d*f+e^2))+8*c^2*(12*a*b*e*f+2*a^2*f^2+5*b^2*(2*d*f+e^2)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/960*(640*c^3*d*e-105*b^3*f^2+28*b*c*f*(7*a*f+10*b*e)-8*c^2*(32*a*e*f+25*b*(2*d*f+e^2)))*(c*x^2+b*x+a)^(3/2)/c^4+1/160*(21*b^2*f^2-4*c*f*(5*a*f+14*b*e)+40*c^2*(2*d*f+e^2))*x*(c*x^2+b*x+a)^(3/2)/c^3+1/20*f*(-3*b*f+8*c*e)*x^2*(c*x^2+b*x+a)^(3/2)/c^2+1/6*f^2*x^3*(c*x^2+b*x+a)^(3/2)/c-1/1024*(-4*a*c+b^2)*(128*c^4*d^2+21*b^4*f^2-56*b^2*c*f*(a*f+b*e)-32*c^3*(4*b*d*e+a*(2*d*f+e^2))+8*c^2*(12*a*b*e*f+2*a^2*f^2+5*b^2*(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],
[sqrt(c*x^2+b*x+a)*(f*x^2+e*x+d),x,5,1/64*(-4*a*c*f+5*b^2*f-8*b*c*e+16*c^2*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+1/24*(-5*b*f+8*c*e)*(c*x^2+b*x+a)^(3/2)/c^2+1/4*f*x*(c*x^2+b*x+a)^(3/2)/c-1/128*(-4*a*c+b^2)*(16*c^2*d+5*b^2*f-4*c*(a*f+2*b*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),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)/(f*x^2+e*x+d)^2,x,6,-(2*f*x+e)*sqrt(c*x^2+b*x+a)/(-4*d*f+e^2)/(f*x^2+e*x+d)-(f*(-4*a*f+b*e)-(-b*f+c*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)/(-4*d*f+e^2)^(3/2)/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*(-4*a*f+b*e)-(-b*f+c*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)/(-4*d*f+e^2)^(3/2)/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(5*x^2+3*x+2)/(-2*x^2+x+4)^3,x,7,-1/66*(1-4*x)*sqrt(5*x^2+3*x+2)/(-2*x^2+x+4)^2-(835-10358*x)*sqrt(5*x^2+3*x+2)/(-1353264*x^2+676632*x+2706528)-1/902176*sqrt(38080240681/2563-601971733/233*sqrt(33))*arctanh(1/2*(19-3*sqrt(33)+2*(11-5*sqrt(33))*x)/sqrt(214-22*sqrt(33))/sqrt(5*x^2+3*x+2))+1/902176*sqrt(38080240681/2563+601971733/233*sqrt(33))*arctanh(1/2*(19+3*sqrt(33)+2*(11+5*sqrt(33))*x)/sqrt(214+22*sqrt(33))/sqrt(5*x^2+3*x+2)),1],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)^2,x,8,-1/16384*(-4*a*c+b^2)*(768*c^4*d^2+99*b^4*f^2-72*b^2*c*f*(3*a*f+4*b*e)-128*c^3*(6*b*d*e+a*(2*d*f+e^2))+16*c^2*(24*a*b*e*f+3*a^2*f^2+14*b^2*(2*d*f+e^2)))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6+1/6144*(768*c^4*d^2+99*b^4*f^2-72*b^2*c*f*(3*a*f+4*b*e)-128*c^3*(6*b*d*e+a*(2*d*f+e^2))+16*c^2*(24*a*b*e*f+3*a^2*f^2+14*b^2*(2*d*f+e^2)))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^5+1/13440*(5376*c^3*d*e-693*b^3*f^2+36*b*c*f*(31*a*f+56*b*e)-32*c^2*(48*a*e*f+49*b*(2*d*f+e^2)))*(c*x^2+b*x+a)^(5/2)/c^4+1/1344*(99*b^2*f^2-12*c*f*(7*a*f+24*b*e)+224*c^2*(2*d*f+e^2))*x*(c*x^2+b*x+a)^(5/2)/c^3+1/112*f*(-11*b*f+32*c*e)*x^2*(c*x^2+b*x+a)^(5/2)/c^2+1/8*f^2*x^3*(c*x^2+b*x+a)^(5/2)/c+1/32768*(-4*a*c+b^2)^2*(768*c^4*d^2+99*b^4*f^2-72*b^2*c*f*(3*a*f+4*b*e)-128*c^3*(6*b*d*e+a*(2*d*f+e^2))+16*c^2*(24*a*b*e*f+3*a^2*f^2+14*b^2*(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],
[(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x,6,-1/512*(-4*a*c+b^2)*(24*c^2*d+7*b^2*f-4*c*(a*f+3*b*e))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/192*(-4*a*c*f+7*b^2*f-12*b*c*e+24*c^2*d)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3+1/60*(-7*b*f+12*c*e)*(c*x^2+b*x+a)^(5/2)/c^2+1/6*f*x*(c*x^2+b*x+a)^(5/2)/c+1/1024*(-4*a*c+b^2)^2*(24*c^2*d+7*b^2*f-4*c*(a*f+3*b*e))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),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)/(f*x^2+e*x+d)^2,x,12,(2*b-c*e/f)*sqrt(c*x^2+b*x+a)/(-4*d*f+e^2)+2*c*x*sqrt(c*x^2+b*x+a)/(-4*d*f+e^2)-(2*f*x+e)*(c*x^2+b*x+a)^(3/2)/(-4*d*f+e^2)/(f*x^2+e*x+d)+c^(3/2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/f^2-1/2*((-b*f+c*e)*(f*(-2*a*f+b*e)+2*c*(-5*d*f+e^2))*(e-sqrt(-4*d*f+e^2))+2*f*(c*d*f*(-4*a*f+b*e)-f^2*(4*a^2*f-3*a*b*e+2*b^2*d)-2*c^2*d*(-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/(-4*d*f+e^2)^(3/2)/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))+1/2*((-b*f+c*e)*(f*(-2*a*f+b*e)+2*c*(-5*d*f+e^2))*(e+sqrt(-4*d*f+e^2))+2*f*(c*d*f*(-4*a*f+b*e)-f^2*(4*a^2*f-3*a*b*e+2*b^2*d)-2*c^2*d*(-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/(-4*d*f+e^2)^(3/2)/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)^3,x,7,-1/2*(2*f*x+e)*(c*x^2+b*x+a)^(3/2)/(-4*d*f+e^2)/(f*x^2+e*x+d)^2+3/4*(4*c*d*e+4*a*e*f-b*(4*d*f+e^2)+2*(4*a*f^2-2*b*e*f+c*e^2)*x)*sqrt(c*x^2+b*x+a)/(-4*d*f+e^2)^2/(f*x^2+e*x+d)+3/4*(4*b*e*f*(3*a*f+c*d)-b^2*f*(4*d*f+e^2)-4*a*f*(4*a*f^2+c*e^2)-2*(2*a*f-b*e+2*c*d)*(-b*f+c*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)/(-4*d*f+e^2)^(5/2)/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))-3/4*(4*b*e*f*(3*a*f+c*d)-b^2*f*(4*d*f+e^2)-4*a*f*(4*a*f^2+c*e^2)-2*(2*a*f-b*e+2*c*d)*(-b*f+c*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)/(-4*d*f+e^2)^(5/2)/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],
[(5*x^2+3*x+2)^(3/2)/(-2*x^2+x+4)^4,x,8,1/13068*(983+1150*x)*sqrt(5*x^2+3*x+2)/(-2*x^2+x+4)^2-23*(40605+1414*x)*sqrt(5*x^2+3*x+2)/(-267946272*x^2+133973136*x+535892544)-1/99*(1-4*x)*(5*x^2+3*x+2)^(3/2)/(-2*x^2+x+4)^3-1/133973136*(687839+4799663*sqrt(33))*arctanh(1/2*(19-3*sqrt(33)+2*(11-5*sqrt(33))*x)/sqrt(214-22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062-726*sqrt(33))+1/133973136*(687839-4799663*sqrt(33))*arctanh(1/2*(19+3*sqrt(33)+2*(11+5*sqrt(33))*x)/sqrt(214+22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062+726*sqrt(33)),1],
[sqrt(-x^2-4*x-3)/(2*x^2+4*x+3),x,16,-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],
[(f*x^2+e*x+d)^3/sqrt(c*x^2+b*x+a),x,8,1/7680*(23040*c^5*d^2*e-3465*b^5*f^3+420*b^3*c*f^2*(34*a*f+27*b*e)-504*b*c^2*f*(70*a*b*e*f+22*a^2*f^2+25*b^2*(d*f+e^2))-640*c^4*(27*b*d*(d*f+e^2)+8*a*e*(6*d*f+e^2))+96*c^3*(128*a^2*e*f^2+275*a*b*f*(d*f+e^2)+50*b^2*(6*d*e*f+e^3)))*sqrt(c*x^2+b*x+a)/c^6+1/3840*(1155*b^4*f^3-252*b^2*c*f^2*(14*a*f+15*b*e)+5760*c^4*d*(d*f+e^2)+24*c^2*f*(322*a*b*e*f+50*a^2*f^2+175*b^2*(d*f+e^2))-160*c^3*(27*a*f*(d*f+e^2)+10*b*(6*d*e*f+e^3)))*x*sqrt(c*x^2+b*x+a)/c^5-1/960*(231*b^3*f^3-36*b*c*f^2*(13*a*f+21*b*e)-320*c^3*(6*d*e*f+e^3)+24*c^2*f*(32*a*e*f+35*b*(d*f+e^2)))*x^2*sqrt(c*x^2+b*x+a)/c^4+1/480*f*(99*b^2*f^2-4*c*f*(25*a*f+81*b*e)+360*c^2*(d*f+e^2))*x^3*sqrt(c*x^2+b*x+a)/c^3+1/60*f^2*(-11*b*f+36*c*e)*x^4*sqrt(c*x^2+b*x+a)/c^2+1/6*f^3*x^5*sqrt(c*x^2+b*x+a)/c+1/1024*(1024*c^6*d^3+231*b^6*f^3-252*b^4*c*f^2*(5*a*f+3*b*e)-1536*c^5*d*(b*d*e+a*(d*f+e^2))+840*b^2*c^2*f*(4*a*b*e*f+2*a^2*f^2+b^2*(d*f+e^2))+384*c^4*(3*b^2*d*(d*f+e^2)+3*a^2*f*(d*f+e^2)+2*a*b*e*(6*d*f+e^2))-320*c^3*(9*a^2*b*e*f^2+a^3*f^3+9*a*b^2*f*(d*f+e^2)+b^3*(6*d*e*f+e^3)))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),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)/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],
[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/sqrt(c*x^2+b*x+a)/(f*x^2+e*x+d)^2,x,6,(f*(-a*e*f-2*b*d*f+b*e^2)-c*(-3*d*e*f+e^3)+f*(f*(-2*a*f+b*e)-c*(-2*d*f+e^2))*x)*sqrt(c*x^2+b*x+a)/(-4*d*f+e^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/(f*x^2+e*x+d)+1/2*(f*(2*a*f-b*e+2*c*d)*(-b*f+c*e)*(e-sqrt(-4*d*f+e^2))-2*f*(3*a*b*e*f^2-4*a^2*f^3+b^2*f*(-6*d*f+e^2)+2*c^2*d*(-4*d*f+e^2)-4*a*c*f*(-3*d*f+e^2)-b*c*(-5*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)/(-4*d*f+e^2)^(3/2)/((-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))-1/2*(f*(2*a*f-b*e+2*c*d)*(-b*f+c*e)*(e+sqrt(-4*d*f+e^2))-2*f*(3*a*b*e*f^2-4*a^2*f^3+b^2*f*(-6*d*f+e^2)+2*c^2*d*(-4*d*f+e^2)-4*a*c*f*(-3*d*f+e^2)-b*c*(-5*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)/(-4*d*f+e^2)^(3/2)/((-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/(-2*x^2+x+4)^3/sqrt(5*x^2+3*x+2),x,7,-1/30756*(235-214*x)*sqrt(5*x^2+3*x+2)/(-2*x^2+x+4)^2-(1763725-1644506*x)*sqrt(5*x^2+3*x+2)/(-630621024*x^2+315310512*x+1261242048)-1/105103504*(22434211+746867*sqrt(33))*arctanh(1/2*(19-3*sqrt(33)+2*(11-5*sqrt(33))*x)/sqrt(214-22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062-726*sqrt(33))+1/105103504*(22434211-746867*sqrt(33))*arctanh(1/2*(19+3*sqrt(33)+2*(11+5*sqrt(33))*x)/sqrt(214+22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062+726*sqrt(33)),1],
[(f*x^2+e*x+d)^3/(c*x^2+b*x+a)^(3/2),x,7,2*(3*a*b^4*c*e*f^2-a*b^5*f^3+a*b^3*c*f*(5*a*f^2-3*c*(d*f+e^2))-b*c^2*(c^3*d^3+5*a^3*f^3+3*a*c^2*d*(d*f+e^2)-9*a^2*c*f*(d*f+e^2))-a*b^2*c^2*e*(12*a*f^2-c*(6*d*f+e^2))+2*a*c^3*e*(3*c^2*d^2+3*a^2*f^2-a*c*(6*d*f+e^2))-(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*(a^2*c^2*f^2-4*a*b^2*c*f^2+7*a*b*c^2*e*f-2*a*c^3*d*f-3*a*c^3*e^2+b^4*f^2-2*b^3*c*e*f+b^2*c^2*d*f+b^2*c^2*e^2-b*c^3*d*e+c^4*d^2)*x)/c^5/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)-1/64*(187*b^3*f^3-4*b*c*f^2*(73*a*f+114*b*e)-64*c^3*(6*d*e*f+e^3)+16*c^2*f*(20*a*e*f+21*b*(d*f+e^2)))*sqrt(c*x^2+b*x+a)/c^5+1/32*f*(41*b^2*f^2-4*c*f*(7*a*f+22*b*e)+48*c^2*(d*f+e^2))*x*sqrt(c*x^2+b*x+a)/c^4+1/8*f^2*(-5*b*f+8*c*e)*x^2*sqrt(c*x^2+b*x+a)/c^3+1/4*f^3*x^3*sqrt(c*x^2+b*x+a)/c^2+3/128*(105*b^4*f^3-280*b^2*c*f^2*(a*f+b*e)+128*c^4*d*(d*f+e^2)+80*c^2*f*(6*a*b*e*f+a^2*f^2+3*b^2*(d*f+e^2))-64*c^3*(3*a*f*(d*f+e^2)+b*(6*d*e*f+e^3)))*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/(c*x^2+b*x+a)^(3/2),x,5,2*(2*a*b^2*c*e*f-a*b^3*f^2+4*a*c^2*e*(-a*f+c*d)-b*c*(c^2*d^2-3*a^2*f^2+a*c*(2*d*f+e^2))-(2*c^4*d^2+b^4*f^2-2*b^2*c*f*(2*a*f+b*e)-2*c^3*(b*d*e+a*(2*d*f+e^2))+c^2*(6*a*b*e*f+2*a^2*f^2+b^2*(2*d*f+e^2)))*x)/c^3/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+1/4*f*(-7*b*f+8*c*e)*sqrt(c*x^2+b*x+a)/c^3+1/2*f^2*x*sqrt(c*x^2+b*x+a)/c^2+1/8*(15*b^2*f^2-12*c*f*(a*f+2*b*e)+8*c^2*(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)/(c*x^2+b*x+a)^(3/2),x,3,2*(2*a*c*e-b*(a*f+c*d)-(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*x)/c/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+f*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),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/(-2*x^2+x+4)^2/(5*x^2+3*x+2)^(3/2),x,7,1/222150588*(4752569+5254415*x)/sqrt(5*x^2+3*x+2)-1/15378*(235-214*x)/(-2*x^2+x+4)/sqrt(5*x^2+3*x+2)-1/7166148*(1668967+204919*sqrt(33))*arctanh(1/2*(19-3*sqrt(33)+2*(11-5*sqrt(33))*x)/sqrt(214-22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062-726*sqrt(33))+1/7166148*(1668967-204919*sqrt(33))*arctanh(1/2*(19+3*sqrt(33)+2*(11+5*sqrt(33))*x)/sqrt(214+22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062+726*sqrt(33)),1],
[(-2*x^2+x+4)^3/(5*x^2+3*x+2)^(5/2),x,6,1/290625*(-1146716+3270186*x)/(5*x^2+3*x+2)^(3/2)+2/3003125*(10505303+15267525*x)/sqrt(5*x^2+3*x+2)+126/625*sqrt(5*x^2+3*x+2)-4/125*x*sqrt(5*x^2+3*x+2)+97/125*arcsinh((3+10*x)/sqrt(31))/sqrt(5),1],
[(f*x^2+e*x+d)^2/(c*x^2+b*x+a)^(5/2),x,4,2/3*(2*a*b^2*c*e*f-a*b^3*f^2+4*a*c^2*e*(-a*f+c*d)-b*c*(c^2*d^2-3*a^2*f^2+a*c*(2*d*f+e^2))-(2*c^4*d^2+b^4*f^2-2*b^2*c*f*(2*a*f+b*e)-2*c^3*(b*d*e+a*(2*d*f+e^2))+c^2*(6*a*b*e*f+2*a^2*f^2+b^2*(2*d*f+e^2)))*x)/c^3/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-2/3*(2*b^4*e*f+48*a^2*c^2*e*f-b^5*f^2/c+4*b^2*c*e*(-3*a*f+2*c*d)+b^3*(10*a*f^2-c*(2*d*f+e^2))-4*b*c*(2*c^2*d^2+8*a^2*f^2+a*c*(2*d*f+e^2))-2*(8*c^4*d^2-2*b^4*f^2+b^2*c*f*(14*a*f+b*e)-c^3*(8*b*d*e-4*a*(2*d*f+e^2))-c^2*(12*a*b*e*f+16*a^2*f^2-b^2*(2*d*f+e^2)))*x)/c^2/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)+f^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)/(c*x^2+b*x+a)^(5/2),x,2,2/3*(2*a*c*e-b*(a*f+c*d)-(-2*a*c*f+b^2*f-b*c*e+2*c^2*d)*x)/c/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+2/3*(4*a*c*f+b^2*f-4*b*c*e+8*c^2*d)*(2*c*x+b)/c/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1],
[1/(-2*x^2+x+4)/(5*x^2+3*x+2)^(5/2),x,7,1/21669*(481+1035*x)/(5*x^2+3*x+2)^(3/2)+107/104343458*(28891+78685*x)/sqrt(5*x^2+3*x+2)-1/434312*sqrt(4466971907/7689+70531289/699*sqrt(33))*arctanh(1/2*(19-3*sqrt(33)+2*(11-5*sqrt(33))*x)/sqrt(214-22*sqrt(33))/sqrt(5*x^2+3*x+2))+1/108578*(7721-1177*sqrt(33))*arctanh(1/2*(19+3*sqrt(33)+2*(11+5*sqrt(33))*x)/sqrt(214+22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062+726*sqrt(33)),1],
[1/(-2*x^2+x+4)^2/(5*x^2+3*x+2)^(5/2),x,8,1/222150588*(1909421+953635*x)/(5*x^2+3*x+2)^(3/2)-1/15378*(235-214*x)/(-2*x^2+x+4)/(5*x^2+3*x+2)^(3/2)+1/3209187394248*(34495558451+65901205285*x)/sqrt(5*x^2+3*x+2)-1/3339424968*(191614963+30645571*sqrt(33))*arctanh(1/2*(19-3*sqrt(33)+2*(11-5*sqrt(33))*x)/sqrt(214-22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062-726*sqrt(33))+1/3339424968*(191614963-30645571*sqrt(33))*arctanh(1/2*(19+3*sqrt(33)+2*(11+5*sqrt(33))*x)/sqrt(214+22*sqrt(33))/sqrt(5*x^2+3*x+2))/sqrt(7062+726*sqrt(33)),1],
[1/sqrt(5*x^2+2*x-7)/(5*x^2+12*x+8),x,5,1/10*arctan(5/2*(2+x)/sqrt(5*x^2+2*x-7))+1/5*arctanh(5*(1+x)/sqrt(5*x^2+2*x-7)),1],
[1/sqrt(c*x^2+b*x+a)/sqrt(f*x^2+e*x+d),x,3,-sqrt(2)*(b+sqrt(-4*a*c+b^2))*sqrt(e-sqrt(-4*d*f+e^2)+2*f*x)*sqrt(-(4*c*d-(b+sqrt(-4*a*c+b^2))*(e+sqrt(-4*d*f+e^2))-2*((b+sqrt(-4*a*c+b^2))*f-c*(e-sqrt(-4*d*f+e^2)))*x)/sqrt(-4*d*f+e^2)/(b+sqrt(-4*a*c+b^2)+2*c*x))*sqrt(c*x^2+b*x+a)*InverseJacobiAM(arcsin(sqrt(2)*sqrt(b^2-4*a*c+b*sqrt(-4*a*c+b^2))*sqrt(e-sqrt(-4*d*f+e^2)+2*f*x)/sqrt(sqrt(-4*a*c+b^2)*e-4*a*f-sqrt(-4*a*c+b^2)*sqrt(-4*d*f+e^2)+b*(e-sqrt(-4*d*f+e^2)))/sqrt(b+sqrt(-4*a*c+b^2)+2*c*x)),sqrt(-1/2*(4*c*(b+sqrt(-4*a*c+b^2))*d-2*b*(b+sqrt(-4*a*c+b^2))*e+4*a*(b+sqrt(-4*a*c+b^2))*f-(4*a*c-(b+sqrt(-4*a*c+b^2))^2)*sqrt(-4*d*f+e^2))/(4*a*c-(b+sqrt(-4*a*c+b^2))^2)/sqrt(-4*d*f+e^2)))/sqrt(b^2-4*a*c+b*sqrt(-4*a*c+b^2))/sqrt(sqrt(-4*a*c+b^2)*e-4*a*f-sqrt(-4*a*c+b^2)*sqrt(-4*d*f+e^2)+b*(e-sqrt(-4*d*f+e^2)))/sqrt(b+sqrt(-4*a*c+b^2)+2*c*x)/sqrt(((b+sqrt(-4*a*c+b^2))*f-c*(e-sqrt(-4*d*f+e^2)))*(2*a+(b+sqrt(-4*a*c+b^2))*x)/(4*a*f-(b+sqrt(-4*a*c+b^2))*(e-sqrt(-4*d*f+e^2)))/(b+sqrt(-4*a*c+b^2)+2*c*x))/sqrt(f*x^2+e*x+d),1],
[1/sqrt(2*x^2-x+3)/sqrt(5*x^2+3*x+2),x,3,sqrt(23/11)*(1-I*sqrt(23)-4*x)*sqrt(-1+I*sqrt(23)+4*x)*sqrt(6-(1-I*sqrt(23))*x)*sqrt((11*I-sqrt(23))*(5*x^2+3*x+2)/(7*I+sqrt(23))/(1-I*sqrt(23)-4*x)^2)*(1-sqrt(-(3*I-sqrt(23))/(7*I+sqrt(23)))*(6-(1-I*sqrt(23))*x)/(1-I*sqrt(23)-4*x))*sqrt((11-41*(I+sqrt(23))*(6-(1-I*sqrt(23))*x)/(7*I+sqrt(23))/(1-I*sqrt(23)-4*x)-11*(3*I-sqrt(23))*(6-(1-I*sqrt(23))*x)^2/(7*I+sqrt(23))/(1-I*sqrt(23)-4*x)^2)/(1-sqrt(-(3*I-sqrt(23))/(7*I+sqrt(23)))*(6-(1-I*sqrt(23))*x)/(1-I*sqrt(23)-4*x))^2)*InverseJacobiAM(2*arctan((-(3*I-sqrt(23))/(7*I+sqrt(23)))^(1/4)*sqrt(6-(1-I*sqrt(23))*x)/sqrt(-1+I*sqrt(23)+4*x)),sqrt(1/2-41/88*(I+sqrt(23))/sqrt(11+I*sqrt(23))))/(23+I*sqrt(23))/(-(3*I-sqrt(23))/(7*I+sqrt(23)))^(1/4)/sqrt(2*x^2-x+3)/sqrt(5*x^2+3*x+2)/sqrt(11-41*(I+sqrt(23))*(6-(1-I*sqrt(23))*x)/(7*I+sqrt(23))/(1-I*sqrt(23)-4*x)-11*(3*I-sqrt(23))*(6-(1-I*sqrt(23))*x)^2/(7*I+sqrt(23))/(1-I*sqrt(23)-4*x)^2),1],
[(c*x^2+b*x+a)^3*(f*x^2+e*x+d)^q,x,8,-1/8*(c^3*e*(4+q)*(12*d^2*f^2*(11*q^2+46*q+45)-4*d*e^2*f*(7*q^3+68*q^2+201*q+180)+e^4*(q^4+16*q^3+91*q^2+216*q+180))+2*b*f^3*(4*q^3+36*q^2+107*q+105)*(6*a*b*e*f*(2+q)^2-6*a^2*f^2*(2*q^2+7*q+6)+b^2*(2*d*f*(3+2*q)-e^2*(q^2+5*q+6)))+6*c*f^2*(2*q^2+13*q+21)*(2*a^2*e*f^2*(2+q)^2*(5+2*q)+2*a*b*f*(5+2*q)*(2*d*f*(3+2*q)-e^2*(q^2+5*q+6))-b^2*e*(3+q)*(2*d*f*(8+5*q)-e^2*(q^2+6*q+8)))-3*c^2*f*(7+2*q)*(2*a*e*f*(3+q)^2*(2*d*f*(8+5*q)-e^2*(q^2+6*q+8))+b*(8*d^2*f^2*(4*q^2+16*q+15)-6*d*e^2*f*(3*q^3+26*q^2+71*q+60)+e^4*(q^4+14*q^3+71*q^2+154*q+120))))*(f*x^2+e*x+d)^(1+q)/f^6/(1+q)/(2+q)/(3+q)/(3+2*q)/(5+2*q)/(7+2*q)+1/4*(2*b^2*f^3*(4*q^3+36*q^2+107*q+105)*(6*a*f*(2+q)-b*e*(3+q))+c^3*(60*d^2*f^2*(q^2+5*q+6)-6*d*e^2*f*(4*q^3+45*q^2+161*q+180)+e^4*(q^4+18*q^3+119*q^2+342*q+360))+6*c*f^2*(2*q^2+13*q+21)*(2*a^2*f^2*(2*q^2+9*q+10)-2*a*b*e*f*(2*q^2+11*q+15)-b^2*(6*d*f*(2+q)-e^2*(q^2+7*q+12)))-3*c^2*f*(7+2*q)*(2*a*f*(3+q)*(6*d*f*(2+q)-e^2*(q^2+7*q+12))-b*e*(4+q)*(2*d*f*(15+7*q)-e^2*(q^2+8*q+15))))*x*(f*x^2+e*x+d)^(1+q)/f^5/(2+q)/(3+q)/(3+2*q)/(5+2*q)/(7+2*q)+1/4*(2*b^3*f^3*(4*q^3+36*q^2+107*q+105)-6*b*c*f^2*(2*q^2+13*q+21)*(b*e*(4+q)-2*a*f*(5+2*q))-3*c^2*f*(7+2*q)*(4*b*d*f*(5+2*q)+2*a*e*f*(q^2+7*q+12)-b*e^2*(q^2+9*q+20))+c^3*e*(5+q)*(6*d*f*(8+3*q)-e^2*(q^2+10*q+24)))*x^2*(f*x^2+e*x+d)^(1+q)/f^4/(2+q)/(3+q)/(5+2*q)/(7+2*q)+1/2*c*(6*b^2*f^2*(2*q^2+13*q+21)+3*c*f*(7+2*q)*(2*a*f*(3+q)-b*e*(5+q))-c^2*(10*d*f*(3+q)-e^2*(q^2+11*q+30)))*x^3*(f*x^2+e*x+d)^(1+q)/f^3/(3+q)/(5+2*q)/(7+2*q)-1/2*c^2*(c*e*(6+q)-3*b*f*(7+2*q))*x^4*(f*x^2+e*x+d)^(1+q)/f^2/(3+q)/(7+2*q)+c^3*x^5*(f*x^2+e*x+d)^(1+q)/f/(7+2*q)-(c^3*(120*d^3*f^3-180*d^2*e^2*f^2*(4+q)+30*d*e^4*f*(q^2+9*q+20)-e^6*(q^3+15*q^2+74*q+120))-2*f^3*(-2*a*f+b*e)*(4*q^2+24*q+35)*(2*a*b*e*f*(3+2*q)-2*a^2*f^2*(3+2*q)+b^2*(6*d*f-e^2*(3+q)))+6*c*f^2*(7+2*q)*(2*a^2*f^2*(5+2*q)*(2*d*f-e^2*(2+q))-2*a*b*e*f*(5+2*q)*(6*d*f-e^2*(3+q))-b^2*(12*d^2*f^2-12*d*e^2*f*(3+q)+e^4*(q^2+7*q+12)))-3*c^2*f*(7+2*q)*(2*a*f*(12*d^2*f^2-12*d*e^2*f*(3+q)+e^4*(q^2+7*q+12))-b*(60*d^2*e*f^2-20*d*e^3*f*(4+q)+e^5*(q^2+9*q+20))))*(2*f*x+e)*(f*x^2+e*x+d)^q*hypergeom([1/2, -q],[3/2],(2*f*x+e)^2/(-4*d*f+e^2))/(2^(4+2*q))/f^7/(3+2*q)/(5+2*q)/(7+2*q)/((-f*(f*x^2+e*x+d)/(-4*d*f+e^2))^q),1],
[(c*x^2+b*x+a)^2*(f*x^2+e*x+d)^q,x,6,-1/4*(2*b*f^2*(2*q^2+9*q+10)*(b*e*(2+q)-2*a*f*(3+2*q))+2*c*f*(5+2*q)*(2*a*e*f*(2+q)^2+2*b*d*f*(3+2*q)-b*e^2*(q^2+5*q+6))-c^2*e*(3+q)*(2*d*f*(8+5*q)-e^2*(q^2+6*q+8)))*(f*x^2+e*x+d)^(1+q)/f^4/(1+q)/(2+q)/(3+2*q)/(5+2*q)+1/2*(2*b^2*f^2*(2*q^2+9*q+10)+2*c*f*(5+2*q)*(2*a*f*(2+q)-b*e*(3+q))-c^2*(6*d*f*(2+q)-e^2*(q^2+7*q+12)))*x*(f*x^2+e*x+d)^(1+q)/f^3/(2+q)/(3+2*q)/(5+2*q)-1/2*c*(c*e*(4+q)-2*b*f*(5+2*q))*x^2*(f*x^2+e*x+d)^(1+q)/f^2/(2+q)/(5+2*q)+c^2*x^3*(f*x^2+e*x+d)^(1+q)/f/(5+2*q)+2^(-3-2*q)*(2*c*f*(5+2*q)*(6*b*d*e*f-4*a*d*f^2+2*a*e^2*f*(2+q)-b*e^3*(3+q))+c^2*(12*d^2*f^2-12*d*e^2*f*(3+q)+e^4*(q^2+7*q+12))-2*f^2*(5+2*q)*(2*a*b*e*f*(3+2*q)-2*a^2*f^2*(3+2*q)+b^2*(2*d*f-e^2*(2+q))))*(2*f*x+e)*(f*x^2+e*x+d)^q*hypergeom([1/2, -q],[3/2],(2*f*x+e)^2/(-4*d*f+e^2))/f^5/(3+2*q)/(5+2*q)/((-f*(f*x^2+e*x+d)/(-4*d*f+e^2))^q),1],
[(c*x^2+b*x+a)*(f*x^2+e*x+d)^q,x,4,-1/2*(c*e*(2+q)-b*f*(3+2*q))*(f*x^2+e*x+d)^(1+q)/f^2/(1+q)/(3+2*q)+c*x*(f*x^2+e*x+d)^(1+q)/f/(3+2*q)-4^(-1-q)*(2*c*d*f-c*e^2*(2+q)+f*(-2*a*f+b*e)*(3+2*q))*(2*f*x+e)*(f*x^2+e*x+d)^q*hypergeom([1/2, -q],[3/2],(2*f*x+e)^2/(-4*d*f+e^2))/f^3/(3+2*q)/((-f*(f*x^2+e*x+d)/(-4*d*f+e^2))^q),1],
[(f*x^2+e*x+d)^q,x,2,2^(-1-2*q)*(2*f*x+e)*(f*x^2+e*x+d)^q*hypergeom([1/2, -q],[3/2],(2*f*x+e)^2/(-4*d*f+e^2))/f/((-f*(f*x^2+e*x+d)/(-4*d*f+e^2))^q),1],
[(f*x^2+e*x+d)^q/(c*x^2+b*x+a),x,6,1/2*(f*x^2+e*x+d)^q*AppellF1(-2*q,-q,-q,1-2*q,(b-sqrt(-4*a*c+b^2)-c*(e-sqrt(-4*d*f+e^2))/f)/(b-sqrt(-4*a*c+b^2)+2*c*x),(b-sqrt(-4*a*c+b^2)-c*(e+sqrt(-4*d*f+e^2))/f)/(b-sqrt(-4*a*c+b^2)+2*c*x))/sqrt(-4*a*c+b^2)/q/((c*(e-sqrt(-4*d*f+e^2)+2*f*x)/f/(b-sqrt(-4*a*c+b^2)+2*c*x))^q)/((c*(e+sqrt(-4*d*f+e^2)+2*f*x)/f/(b-sqrt(-4*a*c+b^2)+2*c*x))^q)-1/2*(f*x^2+e*x+d)^q*AppellF1(-2*q,-q,-q,1-2*q,((b+sqrt(-4*a*c+b^2))*f-c*(e-sqrt(-4*d*f+e^2)))/f/(b+sqrt(-4*a*c+b^2)+2*c*x),((b+sqrt(-4*a*c+b^2))*f-c*(e+sqrt(-4*d*f+e^2)))/f/(b+sqrt(-4*a*c+b^2)+2*c*x))/sqrt(-4*a*c+b^2)/q/((c*(e-sqrt(-4*d*f+e^2)+2*f*x)/f/(b+sqrt(-4*a*c+b^2)+2*c*x))^q)/((c*(e+sqrt(-4*d*f+e^2)+2*f*x)/f/(b+sqrt(-4*a*c+b^2)+2*c*x))^q),1],
[(f*x^2+e*x+d)^q/(c*x^2+b*x+a)^2,x,11,(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)*(f*x^2+e*x+d)^(1+q)/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/(c*x^2+b*x+a)+1/4*((2*a*f-b*e+2*c*d)*(-b*f+c*e)-(4*c^3*d^2-4*c^2*(b*d*e-a*(-2*d*f+e^2)*(1-q))-b^2*f*(-2*a*f+b*e)*q+c*(4*a^2*f^2*(1-2*q)-4*a*b*e*f*(1-q)+b^2*(2*d*f*(2-q)+e^2*q)))/sqrt(-4*a*c+b^2)/q)*(f*x^2+e*x+d)^q*AppellF1(-2*q,-q,-q,1-2*q,(b-sqrt(-4*a*c+b^2)-c*(e-sqrt(-4*d*f+e^2))/f)/(b-sqrt(-4*a*c+b^2)+2*c*x),(b-sqrt(-4*a*c+b^2)-c*(e+sqrt(-4*d*f+e^2))/f)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/((c*(e-sqrt(-4*d*f+e^2)+2*f*x)/f/(b-sqrt(-4*a*c+b^2)+2*c*x))^q)/((c*(e+sqrt(-4*d*f+e^2)+2*f*x)/f/(b-sqrt(-4*a*c+b^2)+2*c*x))^q)+1/4*((2*a*f-b*e+2*c*d)*(-b*f+c*e)+(4*c^3*d^2-4*c^2*(b*d*e-a*(-2*d*f+e^2)*(1-q))-b^2*f*(-2*a*f+b*e)*q+c*(4*a^2*f^2*(1-2*q)-4*a*b*e*f*(1-q)+b^2*(2*d*f*(2-q)+e^2*q)))/sqrt(-4*a*c+b^2)/q)*(f*x^2+e*x+d)^q*AppellF1(-2*q,-q,-q,1-2*q,((b+sqrt(-4*a*c+b^2))*f-c*(e-sqrt(-4*d*f+e^2)))/f/(b+sqrt(-4*a*c+b^2)+2*c*x),((b+sqrt(-4*a*c+b^2))*f-c*(e+sqrt(-4*d*f+e^2)))/f/(b+sqrt(-4*a*c+b^2)+2*c*x))/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/((c*(e-sqrt(-4*d*f+e^2)+2*f*x)/f/(b+sqrt(-4*a*c+b^2)+2*c*x))^q)/((c*(e+sqrt(-4*d*f+e^2)+2*f*x)/f/(b+sqrt(-4*a*c+b^2)+2*c*x))^q)+2^(-1-2*q)*(2*c^2*d+b^2*f-c*(2*a*f+b*e))*(1+2*q)*(2*f*x+e)*(f*x^2+e*x+d)^q*hypergeom([1/2, -q],[3/2],(2*f*x+e)^2/(-4*d*f+e^2))/(-4*a*c+b^2)/((-a*f+c*d)^2-(-a*e+b*d)*(-b*f+c*e))/((-f*(f*x^2+e*x+d)/(-4*d*f+e^2))^q),1],
[(c*x^2+b*x+a)^p/(f*x^2+e*x+d),x,6,1/2*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,(e-(b-sqrt(-4*a*c+b^2))*f/c-sqrt(-4*d*f+e^2))/(e-sqrt(-4*d*f+e^2)+2*f*x),(e-(b+sqrt(-4*a*c+b^2))*f/c-sqrt(-4*d*f+e^2))/(e-sqrt(-4*d*f+e^2)+2*f*x))/sqrt(-4*d*f+e^2)/p/((f*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e-sqrt(-4*d*f+e^2)+2*f*x))^p)/((f*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e-sqrt(-4*d*f+e^2)+2*f*x))^p)-1/2*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,(e-(b+sqrt(-4*a*c+b^2))*f/c+sqrt(-4*d*f+e^2))/(e+sqrt(-4*d*f+e^2)+2*f*x),-((b-sqrt(-4*a*c+b^2))*f-c*(e+sqrt(-4*d*f+e^2)))/c/(e+sqrt(-4*d*f+e^2)+2*f*x))/sqrt(-4*d*f+e^2)/p/((f*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e+sqrt(-4*d*f+e^2)+2*f*x))^p)/((f*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e+sqrt(-4*d*f+e^2)+2*f*x))^p),1],
[(c*x^2+b*x+a)^p/(f*x^2+d),x,6,-4^(-1+p)*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,1/2*(2*c*sqrt(-d)-(b-sqrt(-4*a*c+b^2))*sqrt(f))/c/(sqrt(-d)+sqrt(f)*x),(2*sqrt(-d)-(b+sqrt(-4*a*c+b^2))*sqrt(f)/c)/(2*sqrt(-d)+2*sqrt(f)*x))/sqrt(-d)/sqrt(f)/p/((sqrt(f)*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(sqrt(-d)+sqrt(f)*x))^p)/((sqrt(f)*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(sqrt(-d)+sqrt(f)*x))^p)+4^(-1+p)*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*sqrt(-d)*sqrt(f))/c/(d+sqrt(-d)*sqrt(f)*x),1/2*(2*c*d-(b+sqrt(-4*a*c+b^2))*sqrt(-d)*sqrt(f))/c/(d+sqrt(-d)*sqrt(f)*x))/sqrt(-d)/sqrt(f)/p/((sqrt(-d)*sqrt(f)*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(d+sqrt(-d)*sqrt(f)*x))^p)/((sqrt(-d)*sqrt(f)*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(d+sqrt(-d)*sqrt(f)*x))^p),1],
[(c*x^2+b*x+a)^p/(f*x^2+e*x),x,6,2^(-1+2*p)*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,-1/2*(b-sqrt(-4*a*c+b^2))/c/x,-1/2*(b+sqrt(-4*a*c+b^2))/c/x)/e/p/(((b-sqrt(-4*a*c+b^2)+2*c*x)/c/x)^p)/(((b+sqrt(-4*a*c+b^2)+2*c*x)/c/x)^p)-2^(-1+2*p)*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,1/2*(2*c*e-(b-sqrt(-4*a*c+b^2))*f)/c/(f*x+e),(2*e-(b+sqrt(-4*a*c+b^2))*f/c)/(2*f*x+2*e))/e/p/((f*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(f*x+e))^p)/((f*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(f*x+e))^p),1],
[(c*x^2+b*x)^p/(f*x^2+e*x+d),x,7,2*f*x*(c*x^2+b*x)^p*AppellF1(p+1,-p,1,2+p,-c*x/b,-2*f*x/(e-sqrt(-4*d*f+e^2)))/sqrt(-4*d*f+e^2)/(e-sqrt(-4*d*f+e^2))/(p+1)/((1+c*x/b)^p)-2*f*x*(c*x^2+b*x)^p*AppellF1(p+1,-p,1,2+p,-c*x/b,-2*f*x/(e+sqrt(-4*d*f+e^2)))/sqrt(-4*d*f+e^2)/(e+sqrt(-4*d*f+e^2))/(p+1)/((1+c*x/b)^p),1],
[(c*x^2+b*x)^p/(f*x^2+d),x,7,1/2*x*(c*x^2+b*x)^p*AppellF1(p+1,-p,1,2+p,-c*x/b,-sqrt(f)*x/sqrt(-d))/d/(p+1)/((1+c*x/b)^p)+1/2*x*(c*x^2+b*x)^p*AppellF1(p+1,-p,1,2+p,-c*x/b,sqrt(f)*x/sqrt(-d))/d/(p+1)/((1+c*x/b)^p),1],
[(c*x^2+b*x)^p/(f*x^2+e*x),x,4,(c*x^2+b*x)^p*AppellF1(p,-p,1,p+1,-c*x/b,-f*x/e)/e/p/((1+c*x/b)^p),1],
[(c*x^2+a)^p/(f*x^2+e*x+d),x,14,-2*f*x*(c*x^2+a)^p*AppellF1(1/2,-p,1,3/2,-c*x^2/a,4*f^2*x^2/(e-sqrt(-4*d*f+e^2))^2)/(e^2-4*d*f-e*sqrt(-4*d*f+e^2))/((1+c*x^2/a)^p)-2*f*x*(c*x^2+a)^p*AppellF1(1/2,-p,1,3/2,-c*x^2/a,4*f^2*x^2/(e+sqrt(-4*d*f+e^2))^2)/(e^2-4*d*f+e*sqrt(-4*d*f+e^2))/((1+c*x^2/a)^p)-2*f^2*(c*x^2+a)^(p+1)*hypergeom([1, p+1],[2+p],4*f^2*(c*x^2+a)/(4*a*f^2+c*(e-sqrt(-4*d*f+e^2))^2))/sqrt(-4*d*f+e^2)/(4*a*f^2+c*(e-sqrt(-4*d*f+e^2))^2)/(p+1)+2*f^2*(c*x^2+a)^(p+1)*hypergeom([1, p+1],[2+p],4*f^2*(c*x^2+a)/(4*a*f^2+c*(e+sqrt(-4*d*f+e^2))^2))/sqrt(-4*d*f+e^2)/(4*a*f^2+c*(e+sqrt(-4*d*f+e^2))^2)/(p+1),1],
[(c*x^2+a)^p/(f*x^2+e*x),x,10,-f*x*(c*x^2+a)^p*AppellF1(1/2,-p,1,3/2,-c*x^2/a,f^2*x^2/e^2)/e^2/((1+c*x^2/a)^p)-1/2*(c*x^2+a)^(p+1)*hypergeom([1, p+1],[2+p],(c*x^2+a)/a)/a/e/(p+1)+1/2*f^2*(c*x^2+a)^(p+1)*hypergeom([1, p+1],[2+p],f^2*(c*x^2+a)/(a*f^2+c*e^2))/e/(a*f^2+c*e^2)/(p+1),1],
[(c*x^2+a)^p/(f*x^2+d),x,3,x*(c*x^2+a)^p*AppellF1(1/2,-p,1,3/2,-c*x^2/a,-f*x^2/d)/d/((1+c*x^2/a)^p),1]]: