lst:=[[((b*x+a)^4)^p,x,2,(b*x+a)*((b*x+a)^4)^p/b/(1+4*p),1],
[(b^4*x^4+4*a*b^3*x^3+6*a^2*b^2*x^2+4*a^3*b*x+a^4)^p,x,2,(b*x+a)*(b^4*x^4+4*a*b^3*x^3+6*a^2*b^2*x^2+4*a^3*b*x+a^4)^p/b/(1+4*p),1],
[(4*x^4+4*x^2+4*x+1)^4,x,2,x+8*x^2+112/3*x^3+112*x^4+1136/5*x^5+992/3*x^6+2752/7*x^7+448*x^8+4192/9*x^9+384*x^10+3328/11*x^11+256*x^12+1792/13*x^13+512/7*x^14+1024/15*x^15+256/17*x^17,1],
[(4*x^4+4*x^2+4*x+1)^3,x,2,x+6*x^2+20*x^3+40*x^4+252/5*x^5+48*x^6+352/7*x^7+48*x^8+80/3*x^9+96/5*x^10+192/11*x^11+64/13*x^13,1],
[(4*x^4+4*x^2+4*x+1)^2,x,2,x+4*x^2+8*x^3+8*x^4+24/5*x^5+16/3*x^6+32/7*x^7+16/9*x^9,1],
[4*x^4+4*x^2+4*x+1,x,1,x+2*x^2+4/3*x^3+4/5*x^5,1],
[1/(4*x^4+4*x^2+4*x+1),x,14,1/2*arctan(-1/2+1/2*(1+1/x)^2)-1/4*(1+sqrt(5))^(3/2)*arctan((2-sqrt(2+2*sqrt(5))+2/x)/sqrt(-2+2*sqrt(5)))/sqrt(10)-1/4*(1+sqrt(5))^(3/2)*arctan((2+sqrt(2+2*sqrt(5))+2/x)/sqrt(-2+2*sqrt(5)))/sqrt(10)+1/2*sqrt(-2/5+1/5*sqrt(5))*arctanh(sqrt(2+2*sqrt(5))*(1+1/x)/(sqrt(5)+(1+1/x)^2)),1],
[1/(4*x^4+4*x^2+4*x+1)^2,x,16,-1/2*(17-(1+1/x)^2)/(5-2*(1+1/x)^2+(1+1/x)^4)+(59-17*(1+1/x)^2)*(1+1/x)/(50-20*(1+1/x)^2+10*(1+1/x)^4)+7/4*arctan(-1/2+1/2*(1+1/x)^2)-1/20*sqrt(5959/10+533/2*sqrt(5))*arctan((2-sqrt(2+2*sqrt(5))+2/x)/sqrt(-2+2*sqrt(5)))-1/20*sqrt(5959/10+533/2*sqrt(5))*arctan((2+sqrt(2+2*sqrt(5))+2/x)/sqrt(-2+2*sqrt(5)))-1/20*sqrt(-5959/10+533/2*sqrt(5))*arctanh(sqrt(2+2*sqrt(5))*(1+1/x)/(sqrt(5)+(1+1/x)^2)),1],
[(x^4+x^3+x^2+x+1)^3,x,2,x+3/2*x^2+2*x^3+5/2*x^4+3*x^5+3*x^6+19/7*x^7+9/4*x^8+5/3*x^9+x^10+6/11*x^11+1/4*x^12+1/13*x^13,1],
[(x^4+x^3+x^2+x+1)^2,x,2,x+x^2+x^3+x^4+x^5+2/3*x^6+3/7*x^7+1/4*x^8+1/9*x^9,1],
[x^4+x^3+x^2+x+1,x,1,x+1/2*x^2+1/3*x^3+1/4*x^4+1/5*x^5,1],
[1/(x^4+x^3+x^2+x+1),x,10,1/5*sqrt(5-2*sqrt(5))*arctan((1-sqrt(5)+4*x)/sqrt(10+2*sqrt(5)))+1/5*sqrt(5+2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)+4*x))-1/2*ln(2+x-sqrt(5)*x+2*x^2)/sqrt(5)+1/2*ln(2+x+sqrt(5)*x+2*x^2)/sqrt(5),1],
[1/(x^4+x^3+x^2+x+1)^2,x,12,-2/(10+5*(1+sqrt(5))*x+10*x^2)+4/5*(5+sqrt(5)+(5-sqrt(5))*x)/(5+sqrt(5))/(2+(1-sqrt(5))*x+2*x^2)/(2+(1+sqrt(5))*x+2*x^2)-2/25*sqrt(50-22*sqrt(5))*arctan((1-sqrt(5)+4*x)/sqrt(10+2*sqrt(5)))+2/25*sqrt(50+22*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)+4*x))-2/5*ln(2+x-sqrt(5)*x+2*x^2)/sqrt(5)+2/5*ln(2+x+sqrt(5)*x+2*x^2)/sqrt(5),1],
[1/(x^4+x^3+x^2+x+1)^3,x,15,1/25*(-180+96*sqrt(5)+6*(15-11*sqrt(5))*x)/(5+sqrt(5))/(2+(1+sqrt(5))*x+2*x^2)^2+8/5*(5+sqrt(5)+(5-sqrt(5))*x)/(5+sqrt(5))/(2+(1-sqrt(5))*x+2*x^2)^2/(2+(1+sqrt(5))*x+2*x^2)^2+8/5*(45-11*sqrt(5)+6*(15+sqrt(5))*x)/(5+sqrt(5))^2/(2+(1-sqrt(5))*x+2*x^2)/(2+(1+sqrt(5))*x+2*x^2)^2-3*(6-sqrt(5)-2*x)/(50+25*(1+sqrt(5))*x+50*x^2)-3/125*sqrt(1025-422*sqrt(5))*arctan((1-sqrt(5)+4*x)/sqrt(10+2*sqrt(5)))+3/125*sqrt(1025+422*sqrt(5))*arctan((1+sqrt(5)+4*x)/sqrt(10-2*sqrt(5)))-3/10*ln(2+(1-sqrt(5))*x+2*x^2)/sqrt(5)+3/10*ln(2+(1+sqrt(5))*x+2*x^2)/sqrt(5),1],
[(x^4-x^3+x^2-x+1)^3,x,2,x-3/2*x^2+2*x^3-5/2*x^4+3*x^5-3*x^6+19/7*x^7-9/4*x^8+5/3*x^9-x^10+6/11*x^11-1/4*x^12+1/13*x^13,1],
[(x^4-x^3+x^2-x+1)^2,x,2,x-x^2+x^3-x^4+x^5-2/3*x^6+3/7*x^7-1/4*x^8+1/9*x^9,1],
[x^4-x^3+x^2-x+1,x,1,x-1/2*x^2+1/3*x^3-1/4*x^4+1/5*x^5,1],
[1/(x^4-x^3+x^2-x+1),x,10,-1/5*sqrt(5-2*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))-1/5*sqrt(5+2*sqrt(5))*arctan(1/2*sqrt(1/2+1/10*sqrt(5))*(1+sqrt(5)-4*x))-1/2*ln(2-x-sqrt(5)*x+2*x^2)/sqrt(5)+1/2*ln(2-x+sqrt(5)*x+2*x^2)/sqrt(5),1],
[1/(x^4-x^3+x^2-x+1)^2,x,12,x*(1+x)/(5*x^4-5*x^3+5*x^2-5*x+5)+2/25*sqrt(50-22*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))-2/25*sqrt(50+22*sqrt(5))*arctan((1+sqrt(5)-4*x)/sqrt(10-2*sqrt(5)))+2/5*ln(2-(1-sqrt(5))*x+2*x^2)/sqrt(5)-2/5*ln(2-(1+sqrt(5))*x+2*x^2)/sqrt(5),1],
[1/(x^4-x^3+x^2-x+1)^3,x,15,6/25*(30+16*sqrt(5)+(15+11*sqrt(5))*x)/(5-sqrt(5))/(2-(1-sqrt(5))*x+2*x^2)^2+3*(6+sqrt(5)+2*x)/(50-25*(1-sqrt(5))*x+50*x^2)-8/5*(5-sqrt(5)-(5+sqrt(5))*x)/(5-sqrt(5))/(2-(1-sqrt(5))*x+2*x^2)^2/(2-(1+sqrt(5))*x+2*x^2)^2-8/5*(45+11*sqrt(5)-6*(15-sqrt(5))*x)/(5-sqrt(5))^2/(2-(1-sqrt(5))*x+2*x^2)^2/(2-(1+sqrt(5))*x+2*x^2)+3/125*sqrt(1025-422*sqrt(5))*arctan((1-sqrt(5)-4*x)/sqrt(10+2*sqrt(5)))-3/125*sqrt(1025+422*sqrt(5))*arctan((1+sqrt(5)-4*x)/sqrt(10-2*sqrt(5)))+3/10*ln(2-(1-sqrt(5))*x+2*x^2)/sqrt(5)-3/10*ln(2-(1+sqrt(5))*x+2*x^2)/sqrt(5),1],
[(a*x^4+b*x^3+c*x^2+b*x+a)^3,x,2,a^3*x+3/2*a^2*b*x^2+a*(a*c+b^2)*x^3+1/4*b*(3*a^2+6*a*c+b^2)*x^4+3/5*(a^3+b^2*c+a*(2*b^2+c^2))*x^5+1/2*b*(2*a^2+2*a*c+b^2+c^2)*x^6+1/7*(6*a^2*c+6*a*b^2+6*b^2*c+c^3)*x^7+3/8*b*(2*a^2+2*a*c+b^2+c^2)*x^8+1/3*(a^3+b^2*c+a*(2*b^2+c^2))*x^9+1/10*b*(3*a^2+6*a*c+b^2)*x^10+3/11*a*(a*c+b^2)*x^11+1/4*a^2*b*x^12+1/13*a^3*x^13,1],
[(a*x^4+b*x^3+c*x^2+b*x+a)^2,x,2,a^2*x+a*b*x^2+1/3*(2*a*c+b^2)*x^3+1/2*b*(a+c)*x^4+1/5*(2*a^2+2*b^2+c^2)*x^5+1/3*b*(a+c)*x^6+1/7*(2*a*c+b^2)*x^7+1/4*a*b*x^8+1/9*a^2*x^9,1],
[a*x^4+b*x^3+c*x^2+b*x+a,x,1,a*x+1/2*b*x^2+1/3*c*x^3+1/4*b*x^4+1/5*a*x^5,1],
[1/(a*x^4+b*x^3+c*x^2+b*x+a),x,10,-(b-sqrt(8*a^2-4*a*c+b^2))*arctan((b-sqrt(8*a^2-4*a*c+b^2)+4*a*x)/sqrt(2)/sqrt(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2))))/sqrt(2)/sqrt(8*a^2-4*a*c+b^2)/sqrt(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2)))+(b+sqrt(8*a^2-4*a*c+b^2))*arctan((b+sqrt(8*a^2-4*a*c+b^2)+4*a*x)/sqrt(2)/sqrt(4*a^2+2*a*c-b*(b+sqrt(8*a^2-4*a*c+b^2))))/sqrt(2)/sqrt(8*a^2-4*a*c+b^2)/sqrt(4*a^2+2*a*c-b*(b+sqrt(8*a^2-4*a*c+b^2)))-1/2*ln(2*a+b*x-sqrt(8*a^2-4*a*c+b^2)*x+2*a*x^2)/sqrt(8*a^2-4*a*c+b^2)+1/2*ln(2*a+b*x+sqrt(8*a^2-4*a*c+b^2)*x+2*a*x^2)/sqrt(8*a^2-4*a*c+b^2),1],
[1/(a*x^4+b*x^3+c*x^2+b*x+a)^2,x,13,(-12*a^2*b+2*(3*b^2-c^2)*(b+sqrt(8*a^2-4*a*c+b^2))-2*a*c*(b+2*sqrt(8*a^2-4*a*c+b^2))+4*a*(3*b^2-c*(2*a+c))*x)/a/(2*a-2*b+c)/(2*a+2*b+c)/(8*a^2-4*a*c+b^2)/(2+(b+sqrt(8*a^2-4*a*c+b^2))*x/a+2*x^2)-4*(b^2-2*a*c-b*sqrt(8*a^2-4*a*c+b^2)+a*(b-sqrt(8*a^2-4*a*c+b^2))*x)/a/sqrt(8*a^2-4*a*c+b^2)/(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2)))/(2+(b-sqrt(8*a^2-4*a*c+b^2))*x/a+2*x^2)/(2+(b+sqrt(8*a^2-4*a*c+b^2))*x/a+2*x^2)-4*sqrt(2)*a^2*(c*(4*b^2-c^2)*(b-sqrt(8*a^2-4*a*c+b^2))+4*a^2*c*(2*b-sqrt(8*a^2-4*a*c+b^2))+12*a^3*(3*b-sqrt(8*a^2-4*a*c+b^2))-a*(18*b^3-b*c^2-6*b^2*sqrt(8*a^2-4*a*c+b^2)-3*c^2*sqrt(8*a^2-4*a*c+b^2)))*arctan((b-sqrt(8*a^2-4*a*c+b^2)+4*a*x)/sqrt(2)/sqrt(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2))))/(8*a^2-4*a*c+b^2)^(3/2)/(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2)))^(3/2)/(4*a^2+2*a*c-b*(b+sqrt(8*a^2-4*a*c+b^2)))+4*sqrt(2)*a^2*(c*(4*b^2-c^2)*(b+sqrt(8*a^2-4*a*c+b^2))+4*a^2*c*(2*b+sqrt(8*a^2-4*a*c+b^2))+12*a^3*(3*b+sqrt(8*a^2-4*a*c+b^2))-a*(18*b^3-b*c^2+6*b^2*sqrt(8*a^2-4*a*c+b^2)+3*c^2*sqrt(8*a^2-4*a*c+b^2)))*arctan((b+sqrt(8*a^2-4*a*c+b^2)+4*a*x)/sqrt(2)/sqrt(4*a^2+2*a*c-b*(b+sqrt(8*a^2-4*a*c+b^2))))/(8*a^2-4*a*c+b^2)^(3/2)/(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2)))/(4*a^2+2*a*c-b*(b+sqrt(8*a^2-4*a*c+b^2)))^(3/2)-(3*a-c)*ln(2*a+(b-sqrt(8*a^2-4*a*c+b^2))*x+2*a*x^2)/(8*a^2-4*a*c+b^2)^(3/2)+(3*a-c)*ln(2*a+(b+sqrt(8*a^2-4*a*c+b^2))*x+2*a*x^2)/(8*a^2-4*a*c+b^2)^(3/2),1],
[(a*d^2*x^4+b^2*d*x^3+b^3*x+a*b^2+c*x^2)^3,x,2,a^3*b^6*x+3/2*a^2*b^7*x^2+a*b^4*(b^4+a*c)*x^3+1/4*b^5*(3*a^2*b*d+b^4+6*a*c)*x^4+3/5*b^2*(a^3*b^2*d^2+2*a*b^5*d+b^4*c+a*c^2)*x^5+1/2*b^3*(c^2+2*a*b*c*d+b^2*d*(2*a^2*d+b^3))*x^6+1/7*(c^3+6*a*b^6*d^2+6*b^2*c*d*(a^2*d+b^3))*x^7+3/8*b^2*d*(c^2+2*a*b*c*d+b^2*d*(2*a^2*d+b^3))*x^8+1/3*d^2*(a^3*b^2*d^2+2*a*b^5*d+b^4*c+a*c^2)*x^9+1/10*b^2*d^3*(3*a^2*b*d+b^4+6*a*c)*x^10+3/11*a*(b^4+a*c)*d^4*x^11+1/4*a^2*b^2*d^5*x^12+1/13*a^3*d^6*x^13,1],
[(a*d^2*x^4+b^2*d*x^3+b^3*x+a*b^2+c*x^2)^2,x,2,a^2*b^4*x+a*b^5*x^2+1/3*b^2*(b^4+2*a*c)*x^3+1/2*b^3*(a*b*d+c)*x^4+1/5*(c^2+2*b^2*d*(a^2*d+b^3))*x^5+1/3*b^2*d*(a*b*d+c)*x^6+1/7*(b^4+2*a*c)*d^2*x^7+1/4*a*b^2*d^3*x^8+1/9*a^2*d^4*x^9,1],
[a*d^2*x^4+b^2*d*x^3+b^3*x+a*b^2+c*x^2,x,1,a*b^2*x+1/2*b^3*x^2+1/3*c*x^3+1/4*b^2*d*x^4+1/5*a*d^2*x^5,1],
[1/(a*d^2*x^4+b^2*d*x^3+b^3*x+a*b^2+c*x^2),x,10,(b^2-sqrt(8*a^2*b*d+b^4-4*a*c))*arctanh((b^2-sqrt(8*a^2*b*d+b^4-4*a*c)+4*a*d*x)/sqrt(2)/sqrt(b^4-2*a*c-4*a^2*b*d-b^2*sqrt(8*a^2*b*d+b^4-4*a*c)))/sqrt(2)/b/sqrt(8*a^2*b*d+b^4-4*a*c)/sqrt(b^4-2*a*c-4*a^2*b*d-b^2*sqrt(8*a^2*b*d+b^4-4*a*c))-(b^2+sqrt(8*a^2*b*d+b^4-4*a*c))*arctanh((b^2+sqrt(8*a^2*b*d+b^4-4*a*c)+4*a*d*x)/sqrt(2)/sqrt(b^4-2*a*c-4*a^2*b*d+b^2*sqrt(8*a^2*b*d+b^4-4*a*c)))/sqrt(2)/b/sqrt(8*a^2*b*d+b^4-4*a*c)/sqrt(b^4-2*a*c-4*a^2*b*d+b^2*sqrt(8*a^2*b*d+b^4-4*a*c))-1/2*ln(2*a*b+b^2*x-sqrt(8*a^2*b*d+b^4-4*a*c)*x+2*a*d*x^2)/b/sqrt(8*a^2*b*d+b^4-4*a*c)+1/2*ln(2*a*b+b^2*x+sqrt(8*a^2*b*d+b^4-4*a*c)*x+2*a*d*x^2)/b/sqrt(8*a^2*b*d+b^4-4*a*c),1],
[1/(a*d^2*x^4+b^2*d*x^3+b^3*x+a*b^2+c*x^2)^2,x,13,(-2*b^2*c^2+6*b^7*d-2*a*b^3*c*d-12*a^2*b^4*d^2-2*sqrt(8*a^2*b*d+b^4-4*a*c)*(-3*b^5*d+2*a*b*c*d+c^2)-4*a*d*(-3*b^5*d+2*a*b*c*d+c^2)*x)/a/b^2/d/(8*a^2*b*d+b^4-4*a*c)/(4*a^2*b^2*d^2-4*b^5*d+4*a*b*c*d+c^2)/(2*b/d+(b^2+sqrt(8*a^2*b*d+b^4-4*a*c))*x/a/d+2*x^2)+4*(b^4-2*a*c-b^2*sqrt(8*a^2*b*d+b^4-4*a*c)+a*d*(b^2-sqrt(8*a^2*b*d+b^4-4*a*c))*x)/a/b/d^2/sqrt(8*a^2*b*d+b^4-4*a*c)/(b^4-2*a*c-4*a^2*b*d-b^2*sqrt(8*a^2*b*d+b^4-4*a*c))/(2*b/d+(b^2-sqrt(8*a^2*b*d+b^4-4*a*c))*x/a/d+2*x^2)/(2*b/d+(b^2+sqrt(8*a^2*b*d+b^4-4*a*c))*x/a/d+2*x^2)+4*sqrt(2)*a^2*(4*b^7*c*d-18*a*b^8*d^2+8*a^2*b^4*c*d^2+c^3*sqrt(8*a^2*b*d+b^4-4*a*c)+3*a*b*c^2*d*sqrt(8*a^2*b*d+b^4-4*a*c)+6*a*b^6*d^2*sqrt(8*a^2*b*d+b^4-4*a*c)+4*b^5*(9*a^3*d^3-c*d*sqrt(8*a^2*b*d+b^4-4*a*c))-b^2*(c^3+4*a^2*c*d^2*sqrt(8*a^2*b*d+b^4-4*a*c))+b^3*(a*c^2*d-12*a^3*d^3*sqrt(8*a^2*b*d+b^4-4*a*c)))*arctanh((b^2-sqrt(8*a^2*b*d+b^4-4*a*c)+4*a*d*x)/sqrt(2)/sqrt(b^4-2*a*c-4*a^2*b*d-b^2*sqrt(8*a^2*b*d+b^4-4*a*c)))/b^3/(8*a^2*b*d+b^4-4*a*c)^(3/2)/(b^4-2*a*c-4*a^2*b*d-b^2*sqrt(8*a^2*b*d+b^4-4*a*c))^(3/2)/(b^4-2*a*c-4*a^2*b*d+b^2*sqrt(8*a^2*b*d+b^4-4*a*c))-4*sqrt(2)*a^2*(4*b^7*c*d-18*a*b^8*d^2+8*a^2*b^4*c*d^2-c^3*sqrt(8*a^2*b*d+b^4-4*a*c)-3*a*b*c^2*d*sqrt(8*a^2*b*d+b^4-4*a*c)-6*a*b^6*d^2*sqrt(8*a^2*b*d+b^4-4*a*c)+4*b^5*(9*a^3*d^3+c*d*sqrt(8*a^2*b*d+b^4-4*a*c))+a*b^3*d*(c^2+12*a^2*d^2*sqrt(8*a^2*b*d+b^4-4*a*c))-b^2*(c^3-4*a^2*c*d^2*sqrt(8*a^2*b*d+b^4-4*a*c)))*arctanh((b^2+sqrt(8*a^2*b*d+b^4-4*a*c)+4*a*d*x)/sqrt(2)/sqrt(b^4-2*a*c-4*a^2*b*d+b^2*sqrt(8*a^2*b*d+b^4-4*a*c)))/b^3/(8*a^2*b*d+b^4-4*a*c)^(3/2)/(b^4-2*a*c-4*a^2*b*d-b^2*sqrt(8*a^2*b*d+b^4-4*a*c))/(b^4-2*a*c-4*a^2*b*d+b^2*sqrt(8*a^2*b*d+b^4-4*a*c))^(3/2)+(-3*a*b*d+c)*ln(2*a*b+(b^2-sqrt(8*a^2*b*d+b^4-4*a*c))*x+2*a*d*x^2)/b^3/(8*a^2*b*d+b^4-4*a*c)^(3/2)-(-3*a*b*d+c)*ln(2*a*b+(b^2+sqrt(8*a^2*b*d+b^4-4*a*c))*x+2*a*d*x^2)/b^3/(8*a^2*b*d+b^4-4*a*c)^(3/2),1],
[(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^4,x,3,c^4*(4*a*d^2+c^3)^4*x/d^8-8/3*c^5*(4*a*d^2+c^3)^3*(d*x+c)^3/d^9+4/5*c^3*(4*a*d^2+c^3)^2*(4*a*d^2+7*c^3)*(d*x+c)^5/d^9-8/7*c^4*(4*a*d^2+c^3)*(12*a*d^2+7*c^3)*(d*x+c)^7/d^9+2/9*c^2*(48*a^2*d^4+120*a*c^3*d^2+35*c^6)*(d*x+c)^9/d^9-8/11*c^3*(12*a*d^2+7*c^3)*(d*x+c)^11/d^9+4/13*c*(4*a*d^2+7*c^3)*(d*x+c)^13/d^9-8/15*c^2*(d*x+c)^15/d^9+1/17*(d*x+c)^17/d^9,1],
[(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^3,x,3,c^3*(4*a*d^2+c^3)^3*x/d^6-2*c^4*(4*a*d^2+c^3)^2*(d*x+c)^3/d^7+3/5*c^2*(4*a*d^2+c^3)*(4*a*d^2+5*c^3)*(d*x+c)^5/d^7-4/7*c^3*(12*a*d^2+5*c^3)*(d*x+c)^7/d^7+1/3*c*(4*a*d^2+5*c^3)*(d*x+c)^9/d^7-6/11*c^2*(d*x+c)^11/d^7+1/13*(d*x+c)^13/d^7,1],
[(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x,3,c^2*(4*a*d^2+c^3)^2*x/d^4-4/3*c^3*(4*a*d^2+c^3)*(d*x+c)^3/d^5+2/5*c*(4*a*d^2+3*c^3)*(d*x+c)^5/d^5-4/7*c^2*(d*x+c)^7/d^5+1/9*(d*x+c)^9/d^5,1],
[d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c,x,1,4*a*c*x+4/3*c^2*x^3+c*d*x^4+1/5*d^2*x^5,1],
[1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),x,9,-1/2*d*arctan((c^(1/4)*sqrt(c^(3/2)+sqrt(4*a*d^2+c^3))-sqrt(2)*(d*x+c))/c^(1/4)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3)))/sqrt(2)/c^(3/4)/sqrt(4*a*d^2+c^3)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3))+1/2*d*arctan((c^(1/4)*sqrt(c^(3/2)+sqrt(4*a*d^2+c^3))+sqrt(2)*(d*x+c))/c^(1/4)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3)))/sqrt(2)/c^(3/4)/sqrt(4*a*d^2+c^3)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3))+1/2*d*arctanh(sqrt(2)*c^(1/4)*sqrt(c^(3/2)+sqrt(4*a*d^2+c^3))*(d*x+c)/(sqrt(c)*sqrt(4*a*d^2+c^3)+(d*x+c)^2))/sqrt(2)/c^(3/4)/sqrt(4*a*d^2+c^3)/sqrt(c^(3/2)+sqrt(4*a*d^2+c^3)),1],
[1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x,10,-1/16*(d*x+c)*(c^3-4*a*d^2-c*(d*x+c)^2)/a/c/d/(4*a*d^2+c^3)/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)-1/32*d*(c^3+12*a*d^2+c^(3/2)*sqrt(4*a*d^2+c^3))*arctan((c^(1/4)*sqrt(c^(3/2)+sqrt(4*a*d^2+c^3))-sqrt(2)*(d*x+c))/c^(1/4)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3)))/sqrt(2)/a/c^(7/4)/(4*a*d^2+c^3)^(3/2)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3))+1/32*d*(c^3+12*a*d^2+c^(3/2)*sqrt(4*a*d^2+c^3))*arctan((c^(1/4)*sqrt(c^(3/2)+sqrt(4*a*d^2+c^3))+sqrt(2)*(d*x+c))/c^(1/4)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3)))/sqrt(2)/a/c^(7/4)/(4*a*d^2+c^3)^(3/2)/sqrt(-c^(3/2)+sqrt(4*a*d^2+c^3))+1/32*d*(c^3+12*a*d^2-c^(3/2)*sqrt(4*a*d^2+c^3))*arctanh(sqrt(2)*c^(1/4)*sqrt(c^(3/2)+sqrt(4*a*d^2+c^3))*(d*x+c)/(sqrt(c)*sqrt(4*a*d^2+c^3)+(d*x+c)^2))/sqrt(2)/a/c^(7/4)/(4*a*d^2+c^3)^(3/2)/sqrt(c^(3/2)+sqrt(4*a*d^2+c^3)),1],
[(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^4,x,3,1/1048576*(256*a*e^3+5*d^4)^4*x/e^4-1/524288*d^2*(256*a*e^3+5*d^4)^3*(4*e*x+d)^3/e^5+1/5242880*(256*a*e^3+5*d^4)^2*(256*a*e^3+59*d^4)*(4*e*x+d)^5/e^5-9/3670016*d^2*(256*a*e^3+5*d^4)*(256*a*e^3+17*d^4)*(4*e*x+d)^7/e^5+1/6291456*(65536*a^2*e^6+20992*a*d^4*e^3+601*d^8)*(4*e*x+d)^9/e^5-9/5767168*d^2*(256*a*e^3+17*d^4)*(4*e*x+d)^11/e^5+1/13631488*(256*a*e^3+59*d^4)*(4*e*x+d)^13/e^5-1/2621440*d^2*(4*e*x+d)^15/e^5+1/71303168*(4*e*x+d)^17/e^5,1],
[(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^3,x,3,1/32768*(256*a*e^3+5*d^4)^3*x/e^3-3/65536*d^2*(256*a*e^3+5*d^4)^2*(4*e*x+d)^3/e^4+3/655360*(256*a*e^3+5*d^4)*(256*a*e^3+41*d^4)*(4*e*x+d)^5/e^4-9/229376*d^2*(256*a*e^3+11*d^4)*(4*e*x+d)^7/e^4+1/393216*(256*a*e^3+41*d^4)*(4*e*x+d)^9/e^4-9/720896*d^2*(4*e*x+d)^11/e^4+1/1703936*(4*e*x+d)^13/e^4,1],
[(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x,3,1/1024*(256*a*e^3+5*d^4)^2*x/e^2-1/1024*d^2*(256*a*e^3+5*d^4)*(4*e*x+d)^3/e^3+1/10240*(256*a*e^3+23*d^4)*(4*e*x+d)^5/e^3-3/7168*d^2*(4*e*x+d)^7/e^3+1/36864*(4*e*x+d)^9/e^3,1],
[8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2,x,1,8*a*e^2*x-1/2*d^3*x^2+2*d*e^2*x^4+8/5*e^3*x^5,1],
[1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),x,4,2*arctanh((4*e*x+d)/sqrt(3*d^2-2*sqrt(-64*a*e^3+d^4)))/sqrt(-64*a*e^3+d^4)/sqrt(3*d^2-2*sqrt(-64*a*e^3+d^4))-2*arctanh((4*e*x+d)/sqrt(3*d^2+2*sqrt(-64*a*e^3+d^4)))/sqrt(-64*a*e^3+d^4)/sqrt(3*d^2+2*sqrt(-64*a*e^3+d^4)),1],
[1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x,5,1/2*(4*e*x+d)*(13*d^4-256*a*e^3-3*d^2*(4*e*x+d)^2)/(-16384*a^2*e^6-64*a*d^4*e^3+5*d^8)/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)-24*e*(d^4+128*a*e^3-d^2*sqrt(-64*a*e^3+d^4))*arctanh((4*e*x+d)/sqrt(3*d^2-2*sqrt(-64*a*e^3+d^4)))/(-64*a*e^3+d^4)^(3/2)/(256*a*e^3+5*d^4)/sqrt(3*d^2-2*sqrt(-64*a*e^3+d^4))+24*e*(d^4+128*a*e^3+d^2*sqrt(-64*a*e^3+d^4))*arctanh((4*e*x+d)/sqrt(3*d^2+2*sqrt(-64*a*e^3+d^4)))/(-64*a*e^3+d^4)^(3/2)/(256*a*e^3+5*d^4)/sqrt(3*d^2+2*sqrt(-64*a*e^3+d^4)),1],
[(-x^4+4*x^3-8*x^2+a+8*x)^4,x,3,8/3*(3+a)^3*(1-x)^3-4/5*(3-a)*(3+a)^2*(1-x)^5-8/7*(3+a)*(5+3*a)*(1-x)^7+2/9*(-3*a^2+6*a+37)*(1-x)^9+8/11*(5+3*a)*(1-x)^11-4/13*(3-a)*(1-x)^13-8/15*(1-x)^15-1/17*(1-x)^17+(3+a)^4*x,1],
[(-x^4+4*x^3-8*x^2+a+8*x)^3,x,3,2*(3+a)^2*(1-x)^3-3/5*(1-a)*(3+a)*(1-x)^5-4/7*(7+3*a)*(1-x)^7+1/3*(1-a)*(1-x)^9+6/11*(1-x)^11+1/13*(1-x)^13+(3+a)^3*x,1],
[(-x^4+4*x^3-8*x^2+a+8*x)^2,x,3,4/3*(3+a)*(1-x)^3+2/5*(1+a)*(1-x)^5-4/7*(1-x)^7-1/9*(1-x)^9+(3+a)^2*x,1],
[-x^4+4*x^3-8*x^2+a+8*x,x,1,a*x+4*x^2-8/3*x^3+x^4-1/5*x^5,1],
[1/(-x^4+4*x^3-8*x^2+a+8*x),x,4,1/2*arctan((1-x)/sqrt(1-sqrt(4+a)))/sqrt(4+a)/sqrt(1-sqrt(4+a))-1/2*arctan((1-x)/sqrt(1+sqrt(4+a)))/sqrt(4+a)/sqrt(1+sqrt(4+a)),1],
[1/(-x^4+4*x^3-8*x^2+a+8*x)^2,x,5,-1/4*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/(3+a-2*(1-x)^2-(1-x)^4)+1/8*(10+3*a+sqrt(4+a))*arctan((1-x)/sqrt(1-sqrt(4+a)))/(3+a)/(4+a)^(3/2)/sqrt(1-sqrt(4+a))-1/8*(10+3*a-sqrt(4+a))*arctan((1-x)/sqrt(1+sqrt(4+a)))/(3+a)/(4+a)^(3/2)/sqrt(1+sqrt(4+a)),1],
[1/(-x^4+4*x^3-8*x^2+a+8*x)^3,x,6,-1/32*((6+a)*(25+7*a)+6*(7+2*a)*(1-x)^2)*(1-x)/(3+a)^2/(4+a)^2/(3+a-2*(1-x)^2-(1-x)^4)-1/8*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/(3+a-2*(1-x)^2-(1-x)^4)^2+3/64*(80+7*a^2+14*sqrt(4+a)+a*(47+4*sqrt(4+a)))*arctan((1-x)/sqrt(1-sqrt(4+a)))/(3+a)^2/(4+a)^(5/2)/sqrt(1-sqrt(4+a))+3/64*(14+4*a-(7*a^2+47*a+80)/sqrt(4+a))*arctan((1-x)/sqrt(1+sqrt(4+a)))/(3+a)^2/(4+a)^2/sqrt(1+sqrt(4+a)),1],
[(-x^4+4*x^3-8*x^2+8*x)^(3/2),x,7,-2/35*(13-3*(1-x)^2)*sqrt(3-2*(1-x)^2-(1-x)^4)*(1-x)-1/7*(3-2*(1-x)^2-(1-x)^4)^(3/2)*(1-x)+16/5*sqrt(3)*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))-176/35*sqrt(3)*InverseJacobiAM(arcsin(1-x),sqrt(-1/3)),1],
[sqrt(-x^4+4*x^3-8*x^2+8*x),x,6,-1/3*sqrt(3-2*(1-x)^2-(1-x)^4)*(1-x)+2*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))/sqrt(3)-4*InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[1/sqrt(-x^4+4*x^3-8*x^2+8*x),x,3,-InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[1/(-x^4+4*x^3-8*x^2+8*x)^(3/2),x,6,-1/24*(5+(-1+x)^2)*(1-x)/sqrt(3-2*(1-x)^2-(1-x)^4)+1/8*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))/sqrt(3)-1/4*InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[1/(-x^4+4*x^3-8*x^2+8*x)^(5/2),x,7,-1/432*(26+7*(1-x)^2)*(1-x)/sqrt(3-2*(1-x)^2-(1-x)^4)-1/72*(5+(-1+x)^2)*(1-x)/(3-2*(1-x)^2-(1-x)^4)^(3/2)+7/144*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))/sqrt(3)-11/144*InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[((2-x)*x*(x^2-2*x+4))^(3/2),x,7,-2/35*(13-3*(1-x)^2)*sqrt(3-2*(1-x)^2-(1-x)^4)*(1-x)-1/7*(3-2*(1-x)^2-(1-x)^4)^(3/2)*(1-x)+16/5*sqrt(3)*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))-176/35*sqrt(3)*InverseJacobiAM(arcsin(1-x),sqrt(-1/3)),1],
[sqrt((2-x)*x*(x^2-2*x+4)),x,6,-1/3*sqrt(3-2*(1-x)^2-(1-x)^4)*(1-x)+2*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))/sqrt(3)-4*InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[1/sqrt((2-x)*x*(x^2-2*x+4)),x,3,-InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[1/((2-x)*x*(x^2-2*x+4))^(3/2),x,6,-1/24*(5+(-1+x)^2)*(1-x)/sqrt(3-2*(1-x)^2-(1-x)^4)+1/8*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))/sqrt(3)-1/4*InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[1/((2-x)*x*(x^2-2*x+4))^(5/2),x,7,-1/432*(26+7*(1-x)^2)*(1-x)/sqrt(3-2*(1-x)^2-(1-x)^4)-1/72*(5+(-1+x)^2)*(1-x)/(3-2*(1-x)^2-(1-x)^4)^(3/2)+7/144*EllipticE(sin(arcsin(1-x)),sqrt(-1/3))/sqrt(3)-11/144*InverseJacobiAM(arcsin(1-x),sqrt(-1/3))/sqrt(3),1],
[(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^(3/2),x,7,1/7*(d*x+c)*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^(3/2)/d-16/35*c^3*(8*a*d^2+c^3)*(d*x+c)*sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/d^3/(sqrt(c)*sqrt(4*a*d^2+c^3)+(d*x+c)^2)+2/35*c*(d*x+c)*sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)*(7*c^3+20*a*d^2-3*c*(d*x+c)^2)/d^3+16/35*c^(13/4)*(4*a*d^2+c^3)^(3/4)*(8*a*d^2+c^3)*sqrt(d^2*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/(4*a*d^2+c^3)/(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))^2)*(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))*EllipticE(sin(2*arctan((d*x+c)/c^(1/4)/(4*a*d^2+c^3)^(1/4))),sqrt(1/2+1/2*c^(3/2)/sqrt(4*a*d^2+c^3)))/d^5/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)+8/35*c^(7/4)*(4*a*d^2+c^3)^(3/4)*(sqrt(4*a*d^2+c^3)*(5*a*d^2+c^3)-c^(3/2)*(8*a*d^2+c^3))*sqrt(d^2*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/(4*a*d^2+c^3)/(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))^2)*(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))*InverseJacobiAM(2*arctan((d*x+c)/c^(1/4)/(4*a*d^2+c^3)^(1/4)),sqrt(1/2+1/2*c^(3/2)/sqrt(4*a*d^2+c^3)))/d^5/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),1],
[sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),x,6,1/3*(d*x+c)*sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/d-2/3*c^2*(d*x+c)*sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/d/(sqrt(c)*sqrt(4*a*d^2+c^3)+(d*x+c)^2)+2/3*c^(9/4)*(4*a*d^2+c^3)^(3/4)*sqrt(d^2*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/(4*a*d^2+c^3)/(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))^2)*(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))*EllipticE(sin(2*arctan((d*x+c)/c^(1/4)/(4*a*d^2+c^3)^(1/4))),sqrt(1/2+1/2*c^(3/2)/sqrt(4*a*d^2+c^3)))/d^3/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)+1/3*c^(3/4)*(4*a*d^2+c^3)^(1/4)*(c^3+4*a*d^2-c^(3/2)*sqrt(4*a*d^2+c^3))*sqrt(d^2*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/(4*a*d^2+c^3)/(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))^2)*(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))*InverseJacobiAM(2*arctan((d*x+c)/c^(1/4)/(4*a*d^2+c^3)^(1/4)),sqrt(1/2+1/2*c^(3/2)/sqrt(4*a*d^2+c^3)))/d^3/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),1],
[1/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),x,2,1/2*(4*a*d^2+c^3)^(1/4)*sqrt(d^2*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/(4*a*d^2+c^3)/(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))^2)*(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))*InverseJacobiAM(2*arctan((d*x+c)/c^(1/4)/(4*a*d^2+c^3)^(1/4)),sqrt(1/2+1/2*c^(3/2)/sqrt(4*a*d^2+c^3)))/c^(1/4)/d/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),1],
[1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^(3/2),x,6,-1/8*d*(d*x+c)*sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/a/(4*a*d^2+c^3)/(sqrt(c)*sqrt(4*a*d^2+c^3)+(d*x+c)^2)-1/8*(d*x+c)*(c^3-4*a*d^2-c*(d*x+c)^2)/a/c/d/(4*a*d^2+c^3)/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)+1/8*c^(1/4)*sqrt(d^2*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/(4*a*d^2+c^3)/(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))^2)*(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))*EllipticE(sin(2*arctan((d*x+c)/c^(1/4)/(4*a*d^2+c^3)^(1/4))),sqrt(1/2+1/2*c^(3/2)/sqrt(4*a*d^2+c^3)))/a/d/(4*a*d^2+c^3)^(1/4)/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)+1/16*(c^3+4*a*d^2-c^(3/2)*sqrt(4*a*d^2+c^3))*sqrt(d^2*(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)/(4*a*d^2+c^3)/(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))^2)*(sqrt(c)+(d*x+c)^2/sqrt(4*a*d^2+c^3))*InverseJacobiAM(2*arctan((d*x+c)/c^(1/4)/(4*a*d^2+c^3)^(1/4)),sqrt(1/2+1/2*c^(3/2)/sqrt(4*a*d^2+c^3)))/a/c^(5/4)/d/(4*a*d^2+c^3)^(3/4)/sqrt(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),1],
[(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^(3/2),x,7,1/28*(4*e*x+d)*(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^(3/2)/e-3/280*d^2*(512*a*e^3+d^4)*(4*e*x+d)*sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)/e^2/(sqrt(256*a*e^3+5*d^4)+(4*e*x+d)^2)+1/2240*(4*e*x+d)*sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)*(43*d^4+1280*a*e^3-9*d^2*(4*e*x+d)^2)/e^2+3/8960*d^2*(256*a*e^3+5*d^4)^(3/4)*(512*a*e^3+d^4)*(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))*sqrt((5*d^4+256*a*e^3-6*d^2*(4*e*x+d)^2+(4*e*x+d)^4)/(256*a*e^3+5*d^4)/(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))^2)*EllipticE(sin(2*arctan((4*e*x+d)/(256*a*e^3+5*d^4)^(1/4))),sqrt(1/2+3/2*d^2/sqrt(256*a*e^3+5*d^4)))/e^3/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)+1/17920*(256*a*e^3+5*d^4)^(3/4)*(4*(80*a*e^3+d^4)*sqrt(256*a*e^3+5*d^4)-3*d^2*(512*a*e^3+d^4))*(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))*sqrt((5*d^4+256*a*e^3-6*d^2*(4*e*x+d)^2+(4*e*x+d)^4)/(256*a*e^3+5*d^4)/(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))^2)*InverseJacobiAM(2*arctan((4*e*x+d)/(256*a*e^3+5*d^4)^(1/4)),sqrt(1/2+3/2*d^2/sqrt(256*a*e^3+5*d^4)))/e^3/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),1],
[sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),x,6,1/12*(4*e*x+d)*sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)/e-1/2*d^2*(4*e*x+d)*sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)/e/(sqrt(256*a*e^3+5*d^4)+(4*e*x+d)^2)+1/64*d^2*(256*a*e^3+5*d^4)^(3/4)*(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))*sqrt((5*d^4+256*a*e^3-6*d^2*(4*e*x+d)^2+(4*e*x+d)^4)/(256*a*e^3+5*d^4)/(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))^2)*EllipticE(sin(2*arctan((4*e*x+d)/(256*a*e^3+5*d^4)^(1/4))),sqrt(1/2+3/2*d^2/sqrt(256*a*e^3+5*d^4)))/e^2/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)+1/384*(256*a*e^3+5*d^4)^(1/4)*(5*d^4+256*a*e^3-3*d^2*sqrt(256*a*e^3+5*d^4))*(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))*sqrt((5*d^4+256*a*e^3-6*d^2*(4*e*x+d)^2+(4*e*x+d)^4)/(256*a*e^3+5*d^4)/(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))^2)*InverseJacobiAM(2*arctan((4*e*x+d)/(256*a*e^3+5*d^4)^(1/4)),sqrt(1/2+3/2*d^2/sqrt(256*a*e^3+5*d^4)))/e^2/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),1],
[1/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),x,2,1/8*(256*a*e^3+5*d^4)^(1/4)*(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))*sqrt((5*d^4+256*a*e^3-6*d^2*(4*e*x+d)^2+(4*e*x+d)^4)/(256*a*e^3+5*d^4)/(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))^2)*InverseJacobiAM(2*arctan((4*e*x+d)/(256*a*e^3+5*d^4)^(1/4)),sqrt(1/2+3/2*d^2/sqrt(256*a*e^3+5*d^4)))/e/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),1],
[1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^(3/2),x,6,96*d^2*e*(4*e*x+d)*sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)/(-16384*a^2*e^6-64*a*d^4*e^3+5*d^8)/(sqrt(256*a*e^3+5*d^4)+(4*e*x+d)^2)+(4*e*x+d)*(13*d^4-256*a*e^3-3*d^2*(4*e*x+d)^2)/(-16384*a^2*e^6-64*a*d^4*e^3+5*d^8)/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)-3*d^2*(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))*sqrt((5*d^4+256*a*e^3-6*d^2*(4*e*x+d)^2+(4*e*x+d)^4)/(256*a*e^3+5*d^4)/(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))^2)*EllipticE(sin(2*arctan((4*e*x+d)/(256*a*e^3+5*d^4)^(1/4))),sqrt(1/2+3/2*d^2/sqrt(256*a*e^3+5*d^4)))/(-64*a*e^3+d^4)/(256*a*e^3+5*d^4)^(1/4)/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)-1/2*(5*d^4+256*a*e^3-3*d^2*sqrt(256*a*e^3+5*d^4))*(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))*sqrt((5*d^4+256*a*e^3-6*d^2*(4*e*x+d)^2+(4*e*x+d)^4)/(256*a*e^3+5*d^4)/(1+(4*e*x+d)^2/sqrt(256*a*e^3+5*d^4))^2)*InverseJacobiAM(2*arctan((4*e*x+d)/(256*a*e^3+5*d^4)^(1/4)),sqrt(1/2+3/2*d^2/sqrt(256*a*e^3+5*d^4)))/(-64*a*e^3+d^4)/(256*a*e^3+5*d^4)^(3/4)/sqrt(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),1],
[(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x,7,-2/35*(13+5*a-3*(1-x)^2)*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1-x)-1/7*(3+a-2*(1-x)^2-(1-x)^4)^(3/2)*(1-x)+16/35*(7+2*a)*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4)-4/35*sqrt(-1+sqrt(4+a))*(76+5*a^2+28*sqrt(4+a)+a*(39+8*sqrt(4+a)))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[sqrt(-x^4+4*x^3-8*x^2+a+8*x),x,6,-1/3*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1-x)+2/3*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4)-2/3*sqrt(-1+sqrt(4+a))*(4+a+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[1/sqrt(-x^4+4*x^3-8*x^2+a+8*x),x,3,-sqrt(3+a)*sqrt(1-(1-sqrt(4+a))*(1-x)^2/(3+a))*sqrt(1-(1+sqrt(4+a))*(1-x)^2/(3+a))*InverseJacobiAM(arcsin(sqrt(1+sqrt(4+a))*(1-x)/sqrt(3+a)),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(1+sqrt(4+a))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[1/(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x,6,-1/2*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/sqrt(3+a-2*(1-x)^2-(1-x)^4)+1/2*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/2*sqrt(-1+sqrt(4+a))*(4+a+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[1/(-x^4+4*x^3-8*x^2+a+8*x)^(5/2),x,7,-1/12*(104+47*a+5*a^2+4*(7+2*a)*(1-x)^2)*(1-x)/(3+a)^2/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/6*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/(3+a-2*(1-x)^2-(1-x)^4)^(3/2)+1/3*(7+2*a)*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)^2/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/12*sqrt(-1+sqrt(4+a))*(76+5*a^2+28*sqrt(4+a)+a*(39+8*sqrt(4+a)))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)^2/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[(8*x^4-x^3+8*x+8)^4,x,2,4096*x+8192*x^2+8192*x^3+3584*x^4+14336/5*x^5+7168*x^6+6784*x^7+1376*x^8+1408*x^9+21488/5*x^10+25312/11*x^11-448*x^12+10241/13*x^13+1168*x^14+128/5*x^15-128*x^16+4096/17*x^17,1],
[(8*x^4-x^3+8*x+8)^3,x,2,512*x+768*x^2+512*x^3+80*x^4+1152/5*x^5+480*x^6+1560/7*x^7-45*x^8+128*x^9+307/2*x^10+24/11*x^11-16*x^12+512/13*x^13,1],
[(8*x^4-x^3+8*x+8)^2,x,2,64*x+64*x^2+64/3*x^3-4*x^4+112/5*x^5+64/3*x^6+1/7*x^7-2*x^8+64/9*x^9,1],
[8*x^4-x^3+8*x+8,x,1,8*x+4*x^2-1/4*x^4+8/5*x^5,1],
[1/(8*x^4-x^3+8*x+8),x,15,-1/12*arctan(1/6*(3-(1+4/x)^2)/sqrt(7))/sqrt(7)-1/12*sqrt(109/1218+67/1218*sqrt(29))*arctan((2+sqrt(6+6*sqrt(29))+8/x)/sqrt(-6+6*sqrt(29)))-1/12*sqrt(109/1218+67/1218*sqrt(29))*arctan((8+(2-sqrt(6+6*sqrt(29)))*x)/sqrt(-6+6*sqrt(29))/x)+1/12*sqrt(-109/1218+67/1218*sqrt(29))*arctanh(sqrt(6+6*sqrt(29))*(1+4/x)/(3*sqrt(29)+(1+4/x)^2)),1],
[1/(8*x^4-x^3+8*x+8)^2,x,17,-1/336*(207+29*(1+4/x)^2)/(261-6*(1+4/x)^2+(1+4/x)^4)+5*(5157+199*(1+4/x)^2)*(1+4/x)/(22888656-526176*(1+4/x)^2+87696*(1+4/x)^4)-17/1008*arctan(1/6*(3-(1+4/x)^2)/sqrt(7))/sqrt(7)-1/87696*sqrt(180983329/1218+1583563/42*sqrt(29))*arctan((2+sqrt(6+6*sqrt(29))+8/x)/sqrt(-6+6*sqrt(29)))-1/87696*sqrt(180983329/1218+1583563/42*sqrt(29))*arctan((8+(2-sqrt(6+6*sqrt(29)))*x)/sqrt(-6+6*sqrt(29))/x)+1/87696*sqrt(-180983329/1218+1583563/42*sqrt(29))*arctanh(sqrt(6+6*sqrt(29))*(1+4/x)/(3*sqrt(29)+(1+4/x)^2)),1],
[(8*x^4-15*x^3+8*x^2+24*x+8)^4,x,2,4096*x+24576*x^2+237568/3*x^3+139776*x^4+538624/5*x^5-30720*x^6-566912/7*x^7+36384*x^8+641152/9*x^9-169584/5*x^10-331040/11*x^11+31128*x^12-12095/13*x^13-75504/7*x^14+102784/15*x^15-1920*x^16+4096/17*x^17,1],
[(8*x^4-15*x^3+8*x^2+24*x+8)^3,x,2,512*x+2304*x^2+5120*x^3+5040*x^4-384/5*x^5-2976*x^6+5528/7*x^7+2097*x^8-2936/3*x^9-4527/10*x^10+6936/11*x^11-240*x^12+512/13*x^13,1],
[(8*x^4-15*x^3+8*x^2+24*x+8)^2,x,2,64*x+192*x^2+704/3*x^3+36*x^4-528/5*x^5+24*x^6+353/7*x^7-30*x^8+64/9*x^9,1],
[8*x^4-15*x^3+8*x^2+24*x+8,x,1,8*x+12*x^2+8/3*x^3-15/4*x^4+8/5*x^5,1],
[1/(8*x^4-15*x^3+8*x^2+24*x+8),x,15,-1/4*sqrt(5167/40326+5/858*sqrt(517))*arctan((6+sqrt(38+2*sqrt(517))+8/x)/sqrt(-38+2*sqrt(517)))-1/4*sqrt(5167/40326+5/858*sqrt(517))*arctan((8+(6-sqrt(38+2*sqrt(517)))*x)/sqrt(-38+2*sqrt(517))/x)+1/4*sqrt(3/13)*arctan((-5*x^2+12*x+8)/sqrt(39)/x^2)+1/4*sqrt(-5167/40326+5/858*sqrt(517))*arctanh(sqrt(38+2*sqrt(517))*(3+4/x)/(sqrt(517)+(3+4/x)^2)),1],
[1/(8*x^4-15*x^3+8*x^2+24*x+8)^2,x,17,(-10077+321*(3+4/x)^2)/(107536-7904*(3+4/x)^2+208*(3+4/x)^4)+(3327931-129631*(3+4/x)^2)*(3+4/x)/(166788336-12259104*(3+4/x)^2+322608*(3+4/x)^4)-1/322608*sqrt(59644114671451/40326+5073830635/78*sqrt(517))*arctan((6+sqrt(38+2*sqrt(517))+8/x)/sqrt(-38+2*sqrt(517)))-1/322608*sqrt(59644114671451/40326+5073830635/78*sqrt(517))*arctan((8+(6-sqrt(38+2*sqrt(517)))*x)/sqrt(-38+2*sqrt(517))/x)+73/208*sqrt(3/13)*arctan((-5*x^2+12*x+8)/sqrt(39)/x^2)+1/322608*sqrt(-59644114671451/40326+5073830635/78*sqrt(517))*arctanh(sqrt(38+2*sqrt(517))*(3+4/x)/(sqrt(517)+(3+4/x)^2)),1],
[1/sqrt(8*x^4-x^3+8*x+8),x,4,-1/232*(87+sqrt(29)*(1+4/x)^2)*sqrt((261-6*(1+4/x)^2+(1+4/x)^4)/(87+sqrt(29)*(1+4/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/29*(4+x)/sqrt(3)*29^(3/4)/x),sqrt(1/2+1/58*sqrt(29)))/sqrt(3)*29^(3/4)/sqrt(8*x^4-x^3+8*x+8),1],
[1/(8*x^4-x^3+8*x+8)^(3/2),x,12,-1/1008*(66-(1+4/x)^2)*x^2/sqrt(8*x^4-x^3+8*x+8)+1/12528*(216-7*(1+4/x)^2)*(1+4/x)*x^2/sqrt(8*x^4-x^3+8*x+8)+7/12528*(261-6*(1+4/x)^2+(1+4/x)^4)*(1+4/x)*x^2/(3*sqrt(29)+(1+4/x)^2)/sqrt(8*x^4-x^3+8*x+8)-7/4176*(87+sqrt(29)*(1+4/x)^2)*sqrt((261-6*(1+4/x)^2+(1+4/x)^4)/(87+sqrt(29)*(1+4/x)^2)^2)*x^2*EllipticE(sin(2*arctan(1/29*(4+x)/sqrt(3)*29^(3/4)/x)),sqrt(1/2+1/58*sqrt(29)))/sqrt(3)*29^(1/4)/sqrt(8*x^4-x^3+8*x+8)+1/16704*(14-5*sqrt(29))*(87+sqrt(29)*(1+4/x)^2)*sqrt((261-6*(1+4/x)^2+(1+4/x)^4)/(87+sqrt(29)*(1+4/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/29*(4+x)/sqrt(3)*29^(3/4)/x),sqrt(1/2+1/58*sqrt(29)))/sqrt(3)*29^(1/4)/sqrt(8*x^4-x^3+8*x+8),1],
[1/sqrt(4*x^4+4*x^2+4*x+1),x,3,-1/10*(sqrt(5)+(1+1/x)^2)*sqrt((5-2*(1+1/x)^2+(1+1/x)^4)/(sqrt(5)+(1+1/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/5*(1+1/x)*5^(3/4)),sqrt(1/2+1/10*sqrt(5)))*5^(3/4)/sqrt(4*x^4+4*x^2+4*x+1),1],
[1/(4*x^4+4*x^2+4*x+1)^(3/2),x,11,-(3-(1+1/x)^2)*x^2/sqrt(4*x^4+4*x^2+4*x+1)+1/10*(13-9*(1+1/x)^2)*(1+1/x)*x^2/sqrt(4*x^4+4*x^2+4*x+1)+9/10*(5-2*(1+1/x)^2+(1+1/x)^4)*(1+1/x)*x^2/(sqrt(5)+(1+1/x)^2)/sqrt(4*x^4+4*x^2+4*x+1)-9/10*(sqrt(5)+(1+1/x)^2)*sqrt((5-2*(1+1/x)^2+(1+1/x)^4)/(sqrt(5)+(1+1/x)^2)^2)*x^2*EllipticE(sin(2*arctan(1/5*(1+1/x)*5^(3/4))),sqrt(1/2+1/10*sqrt(5)))*5^(1/4)/sqrt(4*x^4+4*x^2+4*x+1)+3/20*(3-sqrt(5))*(sqrt(5)+(1+1/x)^2)*sqrt((5-2*(1+1/x)^2+(1+1/x)^4)/(sqrt(5)+(1+1/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/5*(1+1/x)*5^(3/4)),sqrt(1/2+1/10*sqrt(5)))*5^(1/4)/sqrt(4*x^4+4*x^2+4*x+1),1],
[1/sqrt(8*x^4-15*x^3+8*x^2+24*x+8),x,4,-1/4136*(sqrt(517)+(3+4/x)^2)*sqrt((517-38*(3+4/x)^2+(3+4/x)^4)/(sqrt(517)+(3+4/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/517*(3+4/x)*517^(3/4)),sqrt(1/2+19/1034*sqrt(517)))*517^(3/4)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8),1],
[1/(8*x^4-15*x^3+8*x^2+24*x+8)^(3/2),x,12,-1/208*(172-7*(3+4/x)^2)*x^2/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)+1/322608*(50896-2455*(3+4/x)^2)*(3+4/x)*x^2/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)+2455/322608*(517-38*(3+4/x)^2+(3+4/x)^4)*(3+4/x)*x^2/(sqrt(517)+(3+4/x)^2)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)-2455/322608*(sqrt(517)+(3+4/x)^2)*sqrt((517-38*(3+4/x)^2+(3+4/x)^4)/(sqrt(517)+(3+4/x)^2)^2)*x^2*EllipticE(sin(2*arctan(1/517*(3+4/x)*517^(3/4))),sqrt(1/2+19/1034*sqrt(517)))*517^(1/4)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)+1/1290432*(4910-203*sqrt(517))*(sqrt(517)+(3+4/x)^2)*sqrt((517-38*(3+4/x)^2+(3+4/x)^4)/(sqrt(517)+(3+4/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/517*(3+4/x)*517^(3/4)),sqrt(1/2+19/1034*sqrt(517)))*517^(1/4)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8),1],
[1/(8*x^4-15*x^3+8*x^2+24*x+8)^(5/2),x,14,-1/97344*(124415-6308*(3+4/x)^2)*x^2/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)-1/624*(64489-1399*(3+4/x)^2)*x^2/(517-38*(3+4/x)^2+(3+4/x)^4)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)+1/78056941248*(18932921731-1086525994*(3+4/x)^2)*(3+4/x)*x^2/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)+1/483912*(11921698-359497*(3+4/x)^2)*(3+4/x)*x^2/(517-38*(3+4/x)^2+(3+4/x)^4)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)+543262997/39028470624*(517-38*(3+4/x)^2+(3+4/x)^4)*(3+4/x)*x^2/(sqrt(517)+(3+4/x)^2)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)-543262997/39028470624*(sqrt(517)+(3+4/x)^2)*sqrt((517-38*(3+4/x)^2+(3+4/x)^4)/(sqrt(517)+(3+4/x)^2)^2)*x^2*EllipticE(sin(2*arctan(1/517*(3+4/x)*517^(3/4))),sqrt(1/2+19/1034*sqrt(517)))*517^(1/4)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8)+1/624455529984*(4346103976-175318963*sqrt(517))*(sqrt(517)+(3+4/x)^2)*sqrt((517-38*(3+4/x)^2+(3+4/x)^4)/(sqrt(517)+(3+4/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/517*(3+4/x)*517^(3/4)),sqrt(1/2+19/1034*sqrt(517)))*517^(1/4)/sqrt(8*x^4-15*x^3+8*x^2+24*x+8),1],
[1/sqrt(3*x^4+15*x^3-44*x^2-6*x+9),x,4,-1/7356*(sqrt(613)+(-1+6/x)^2)*sqrt((613-182*(1-6/x)^2+(-1+6/x)^4)/(sqrt(613)+(-1+6/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/613*(6-x)*613^(3/4)/x),sqrt(1/2+91/1226*sqrt(613)))*613^(3/4)/sqrt(3*x^4+15*x^3-44*x^2-6*x+9),1],
[1/(3*x^4+15*x^3-44*x^2-6*x+9)^(3/2),x,12,-1/51759*(176-23*(1-6/x)^2)*x^2/sqrt(3*x^4+15*x^3-44*x^2-6*x+9)+1/31728267*(45401-3722*(1-6/x)^2)*(1-6/x)*x^2/sqrt(3*x^4+15*x^3-44*x^2-6*x+9)+3722/31728267*(613-182*(1-6/x)^2+(-1+6/x)^4)*(1-6/x)*x^2/(sqrt(613)+(-1+6/x)^2)/sqrt(3*x^4+15*x^3-44*x^2-6*x+9)+3722/31728267*(sqrt(613)+(-1+6/x)^2)*sqrt((613-182*(1-6/x)^2+(-1+6/x)^4)/(sqrt(613)+(-1+6/x)^2)^2)*x^2*EllipticE(sin(2*arctan(1/613*(6-x)*613^(3/4)/x)),sqrt(1/2+91/1226*sqrt(613)))*613^(1/4)/sqrt(3*x^4+15*x^3-44*x^2-6*x+9)-1/126913068*(7444-145*sqrt(613))*(sqrt(613)+(-1+6/x)^2)*sqrt((613-182*(1-6/x)^2+(-1+6/x)^4)/(sqrt(613)+(-1+6/x)^2)^2)*x^2*InverseJacobiAM(2*arctan(1/613*(6-x)*613^(3/4)/x),sqrt(1/2+91/1226*sqrt(613)))*613^(1/4)/sqrt(3*x^4+15*x^3-44*x^2-6*x+9),1],
[1/(-16*x^4+24*x^3-54*x+81),x,9,-1/54*arctan(1/3*(3-4*x)/sqrt(3))/sqrt(3)-1/108*ln(3-2*x)+1/324*ln(3+2*x)+1/324*ln(4*x^2-6*x+9),1]]: