lst:=[[(d*x)^m*(a*x^q+b*x^r+c*x^s)^3,x,0,0,1],
[(d*x)^m*(a*x^q+b*x^r+c*x^s)^2,x,0,0,1],
[(d*x)^m*(a*x^q+b*x^r+c*x^s),x,0,0,1],
[(d*x)^m/(a*x^q+b*x^r+c*x^s),x,0,0,1],
[(d*x)^m/(a*x^q+b*x^r+c*x^s)^2,x,0,0,1],
[(d*x)^m/(a*x^q+b*x^r+c*x^s)^3,x,0,0,1],
[x^2*(c*x^5+b*x^3+a*x),x,3,1/4*a*x^4+1/6*b*x^6+1/8*c*x^8,1],
[x*(c*x^5+b*x^3+a*x),x,3,1/3*a*x^3+1/5*b*x^5+1/7*c*x^7,1],
[c*x^5+b*x^3+a*x,x,1,1/2*a*x^2+1/4*b*x^4+1/6*c*x^6,1],
[(c*x^5+b*x^3+a*x)/x,x,2,a*x+1/3*b*x^3+1/5*c*x^5,1],
[(c*x^5+b*x^3+a*x)/x^2,x,3,1/2*b*x^2+1/4*c*x^4+a*ln(x),1],
[(c*x^5+b*x^3+a*x)/x^3,x,3,-a/x+b*x+1/3*c*x^3,1],
[(c*x^5+b*x^3+a*x)/x^4,x,3,-1/2*a/x^2+1/2*c*x^2+b*ln(x),1],
[(c*x^5+b*x^3+a*x)/x^5,x,3,-1/3*a/x^3-b/x+c*x,1],
[(c*x^5+b*x^3+a*x)/x^6,x,3,-1/4*a/x^4-1/2*b/x^2+c*ln(x),1],
[(c*x^5+b*x^3+a*x)/x^7,x,3,-1/5*a/x^5-1/3*b/x^3-c/x,1],
[(c*x^5+b*x^3+a*x)/x^8,x,3,-1/6*a/x^6-1/4*b/x^4-1/2*c/x^2,1],
[(c*x^5+b*x^3+a*x)/x^9,x,3,-1/7*a/x^7-1/5*b/x^5-1/3*c/x^3,1],
[x^2*(c*x^5+b*x^3+a*x)^2,x,3,1/5*a^2*x^5+2/7*a*b*x^7+1/9*(2*a*c+b^2)*x^9+2/11*b*c*x^11+1/13*c^2*x^13,1],
[x*(c*x^5+b*x^3+a*x)^2,x,3,1/4*a^2*x^4+1/3*a*b*x^6+1/8*(2*a*c+b^2)*x^8+1/5*b*c*x^10+1/12*c^2*x^12,1],
[(c*x^5+b*x^3+a*x)^2,x,3,1/3*a^2*x^3+2/5*a*b*x^5+1/7*(2*a*c+b^2)*x^7+2/9*b*c*x^9+1/11*c^2*x^11,1],
[(c*x^5+b*x^3+a*x)^2/x,x,4,1/2*a^2*x^2+1/2*a*b*x^4+1/6*(2*a*c+b^2)*x^6+1/4*b*c*x^8+1/10*c^2*x^10,1],
[(c*x^5+b*x^3+a*x)^2/x^2,x,3,a^2*x+2/3*a*b*x^3+1/5*(2*a*c+b^2)*x^5+2/7*b*c*x^7+1/9*c^2*x^9,1],
[x^8/(c*x^5+b*x^3+a*x),x,8,-1/2*b*x^2/c^2+1/4*x^4/c+1/2*b*(-3*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/4*(-a*c+b^2)*ln(c*x^4+b*x^2+a)/c^3,1],
[x^7/(c*x^5+b*x^3+a*x),x,6,-b*x/c^2+1/3*x^3/c+(b^2-a*c-b*(-3*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/sqrt(b-sqrt(-4*a*c+b^2))+(b^2-a*c+b*(-3*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^6/(c*x^5+b*x^3+a*x),x,8,1/2*x^2/c-1/2*(-2*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)-1/4*b*ln(c*x^4+b*x^2+a)/c^2,1],
[x^5/(c*x^5+b*x^3+a*x),x,6,x/c-(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^4/(c*x^5+b*x^3+a*x),x,6,1/2*b*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/4*ln(c*x^4+b*x^2+a)/c,1],
[x^3/(c*x^5+b*x^3+a*x),x,4,-sqrt(b-sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2)+sqrt(b+sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2),1],
[x^2/(c*x^5+b*x^3+a*x),x,4,-arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[x/(c*x^5+b*x^3+a*x),x,4,sqrt(2)*sqrt(c)*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(2)*sqrt(c)*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/(c*x^5+b*x^3+a*x),x,7,1/2*b*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a/sqrt(-4*a*c+b^2)+ln(x)/a-1/4*ln(c*x^4+b*x^2+a)/a,1],
[1/x/(c*x^5+b*x^3+a*x),x,6,-1/a/x-sqrt(c)*(1+b/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(c)*(1-b/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^2/(c*x^5+b*x^3+a*x),x,9,-1/2/a/x^2-1/2*(-2*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/sqrt(-4*a*c+b^2)-b*ln(x)/a^2+1/4*b*ln(c*x^4+b*x^2+a)/a^2,1],
[x^13/(c*x^5+b*x^3+a*x)^2,x,9,-1/2*b*(-11*a*c+3*b^2)*x^2/c^3/(-4*a*c+b^2)+1/4*(-8*a*c+3*b^2)*x^4/c^2/(-4*a*c+b^2)-1/2*b*x^6/c/(-4*a*c+b^2)+1/2*x^8*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*b*(30*a^2*c^2-20*a*b^2*c+3*b^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^4/(-4*a*c+b^2)^(3/2)+1/4*(-2*a*c+3*b^2)*ln(c*x^4+b*x^2+a)/c^4,1],
[x^11/(c*x^5+b*x^3+a*x)^2,x,9,(-3*a*c+b^2)*x^2/c^2/(-4*a*c+b^2)-1/2*b*x^4/c/(-4*a*c+b^2)+1/2*x^6*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-(6*a^2*c^2-6*a*b^2*c+b^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(3/2)-1/2*b*ln(c*x^4+b*x^2+a)/c^3,1],
[x^9/(c*x^5+b*x^3+a*x)^2,x,9,-1/2*b*x^2/c/(-4*a*c+b^2)+1/2*x^4*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*b*(-6*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/4*ln(c*x^4+b*x^2+a)/c^2,1],
[x^7/(c*x^5+b*x^3+a*x)^2,x,5,1/2*x^2*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+2*a*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x^5/(c*x^5+b*x^3+a*x)^2,x,5,1/2*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-b*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x^3/(c*x^5+b*x^3+a*x)^2,x,5,-1/2*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+2*c*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[x/(c*x^5+b*x^3+a*x)^2,x,9,1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*b*(-6*a*c+b^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^2/(-4*a*c+b^2)^(3/2)+ln(x)/a^2-1/4*ln(c*x^4+b*x^2+a)/a^2,1],
[1/x/(c*x^5+b*x^3+a*x)^2,x,9,-(-3*a*c+b^2)/a^2/(-4*a*c+b^2)/x^2+1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^2/(c*x^4+b*x^2+a)-(6*a^2*c^2-6*a*b^2*c+b^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^3/(-4*a*c+b^2)^(3/2)-2*b*ln(x)/a^3+1/2*b*ln(c*x^4+b*x^2+a)/a^3,1],
[1/x^3/(c*x^5+b*x^3+a*x)^2,x,9,-1/4*(-8*a*c+3*b^2)/a^2/(-4*a*c+b^2)/x^4+1/2*b*(-11*a*c+3*b^2)/a^3/(-4*a*c+b^2)/x^2+1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^4/(c*x^4+b*x^2+a)+1/2*b*(30*a^2*c^2-20*a*b^2*c+3*b^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/a^4/(-4*a*c+b^2)^(3/2)+(-2*a*c+3*b^2)*ln(x)/a^4-1/4*(-2*a*c+3*b^2)*ln(c*x^4+b*x^2+a)/a^4,1],
[x^10/(c*x^5+b*x^3+a*x)^2,x,7,x/c^2+1/2*x*(a*(-2*a*c+b^2)+b*(-3*a*c+b^2)*x^2)/c^2/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(3*b^3-13*a*b*c-(20*a^2*c^2-19*a*b^2*c+3*b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(3*b^3-13*a*b*c+(20*a^2*c^2-19*a*b^2*c+3*b^4)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^8/(c*x^5+b*x^3+a*x)^2,x,5,-1/2*x*(a*b+(-2*a*c+b^2)*x^2)/c/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*(6*a-b^2/c+b*(-8*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(6*a-b^2/c-b*(-8*a*c+b^2)/c/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^6/(c*x^5+b*x^3+a*x)^2,x,5,1/2*x*(b*x^2+2*a)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*(b-(4*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*(b^2+4*a*c+b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^4/(c*x^5+b*x^3+a*x)^2,x,5,-1/2*x*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+sqrt(c)*(2*b-sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(c)*(2*b+sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^2/(c*x^5+b*x^3+a*x)^2,x,5,1/2*x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(b^2-12*a*c+b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*sqrt(c)*(b^2-12*a*c-b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/(c*x^5+b*x^3+a*x)^2,x,6,-1/2*(-10*a*c+3*b^2)/a^2/(-4*a*c+b^2)/x+1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x/(c*x^4+b*x^2+a)-1/2*sqrt(c)*(3*b^3-16*a*b*c+(-10*a*c+3*b^2)*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*sqrt(c)*(3*b^3-16*a*b*c-(-10*a*c+3*b^2)*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^2/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^2/(c*x^5+b*x^3+a*x)^2,x,7,-1/6*(-14*a*c+5*b^2)/a^2/(-4*a*c+b^2)/x^3+1/2*b*(-19*a*c+5*b^2)/a^3/(-4*a*c+b^2)/x+1/2*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^3/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(5*b^4-29*a*b^2*c+28*a^2*c^2+b*(-19*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*sqrt(c)*(5*b^4-29*a*b^2*c+28*a^2*c^2-b*(-19*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a^3/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x/sqrt(c*x^5+b*x^3+a*x),x,4,2/3*x^2*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(3/4,1/2,1/2,7/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/sqrt(c*x^5+b*x^3+a*x),1],
[x^(3/2)*sqrt(c*x^5+b*x^3+a*x),x,6,-2/15*(-3*a*c+b^2)*x^(3/2)*(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)/sqrt(c*x^5+b*x^3+a*x)+1/15*sqrt(x)*(3*c*x^2+b)*sqrt(c*x^5+b*x^3+a*x)/c+2/15*a^(1/4)*(-3*a*c+b^2)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^5+b*x^3+a*x)-1/30*a^(1/4)*(sqrt(a)*b+2*(-3*a*c+b^2)/sqrt(c))*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(5/4)/sqrt(c*x^5+b*x^3+a*x),1],
[sqrt(x)*sqrt(c*x^5+b*x^3+a*x),x,5,1/8*(2*c*x^2+b)*sqrt(c*x^5+b*x^3+a*x)/c/sqrt(x)-1/16*(-4*a*c+b^2)*sqrt(x)*sqrt(c*x^4+b*x^2+a)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2)/sqrt(c*x^5+b*x^3+a*x),1],
[sqrt(c*x^5+b*x^3+a*x)/sqrt(x),x,6,1/3*b*x^(3/2)*(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)/sqrt(c*x^5+b*x^3+a*x)+1/3*sqrt(x)*sqrt(c*x^5+b*x^3+a*x)-1/3*a^(1/4)*b*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^5+b*x^3+a*x)+1/6*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^5+b*x^3+a*x),1],
[sqrt(c*x^5+b*x^3+a*x)/x^(3/2),x,8,1/2*sqrt(c*x^5+b*x^3+a*x)/sqrt(x)-1/2*sqrt(a)*sqrt(x)*sqrt(c*x^4+b*x^2+a)*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/sqrt(c*x^5+b*x^3+a*x)+1/4*b*sqrt(x)*sqrt(c*x^4+b*x^2+a)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c)/sqrt(c*x^5+b*x^3+a*x),1],
[x^(3/2)*(c*x^5+b*x^3+a*x)^(3/2),x,8,1/1280*(128*a^2*c^2-100*a*b^2*c+15*b^4)*sqrt(c*x^5+b*x^3+a*x)/c^3/sqrt(x)-1/640*x^(3/2)*(b*(-4*a*c+5*b^2)+4*c*(-16*a*c+5*b^2)*x^2)*sqrt(c*x^5+b*x^3+a*x)/c^2+1/80*sqrt(x)*(8*c*x^2+3*b)*(c*x^5+b*x^3+a*x)^(3/2)/c-3/512*b*(-4*a*c+b^2)^2*sqrt(x)*sqrt(c*x^4+b*x^2+a)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(7/2)/sqrt(c*x^5+b*x^3+a*x),1],
[sqrt(x)*(c*x^5+b*x^3+a*x)^(3/2),x,7,1/315*(84*a^2*c^2-57*a*b^2*c+8*b^4)*x^(3/2)*(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)/sqrt(c*x^5+b*x^3+a*x)-1/315*sqrt(x)*(b*(-9*a*c+4*b^2)+6*c*(-7*a*c+2*b^2)*x^2)*sqrt(c*x^5+b*x^3+a*x)/c^2+1/63*(7*c*x^2+3*b)*(c*x^5+b*x^3+a*x)^(3/2)/c/sqrt(x)-1/315*a^(1/4)*(84*a^2*c^2-57*a*b^2*c+8*b^4)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(11/4)/sqrt(c*x^5+b*x^3+a*x)+1/630*a^(1/4)*(4*sqrt(a)*b*(-6*a*c+b^2)+(84*a^2*c^2-57*a*b^2*c+8*b^4)/sqrt(c))*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(9/4)/sqrt(c*x^5+b*x^3+a*x),1],
[(c*x^5+b*x^3+a*x)^(3/2)/sqrt(x),x,6,-3/128*(-4*a*c+b^2)*(2*c*x^2+b)*sqrt(c*x^5+b*x^3+a*x)/c^2/sqrt(x)+1/16*(2*c*x^2+b)*(c*x^5+b*x^3+a*x)^(3/2)/c/x^(3/2)+3/256*(-4*a*c+b^2)^2*sqrt(x)*sqrt(c*x^4+b*x^2+a)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2)/sqrt(c*x^5+b*x^3+a*x),1],
[(c*x^5+b*x^3+a*x)^(3/2)/x^(3/2),x,7,-2/35*b*(-8*a*c+b^2)*x^(3/2)*(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)/sqrt(c*x^5+b*x^3+a*x)+1/35*sqrt(x)*(3*b*c*x^2+10*a*c+b^2)*sqrt(c*x^5+b*x^3+a*x)/c+1/7*(c*x^5+b*x^3+a*x)^(3/2)/sqrt(x)+2/35*a^(1/4)*b*(-8*a*c+b^2)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^5+b*x^3+a*x)-1/70*a^(1/4)*(sqrt(a)*(-20*a*c+b^2)+2*b*(-8*a*c+b^2)/sqrt(c))*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(5/4)/sqrt(c*x^5+b*x^3+a*x),1],
[x^(3/2)/sqrt(c*x^5+b*x^3+a*x),x,4,1/2*sqrt(x)*sqrt(c*x^4+b*x^2+a)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c)/sqrt(c*x^5+b*x^3+a*x),1],
[sqrt(x)/sqrt(c*x^5+b*x^3+a*x),x,2,1/2*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/sqrt(c*x^5+b*x^3+a*x),1],
[1/sqrt(x)/sqrt(c*x^5+b*x^3+a*x),x,2,-1/2*arctanh(1/2*sqrt(x)*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^5+b*x^3+a*x))/sqrt(a),1],
[1/x^(3/2)/sqrt(c*x^5+b*x^3+a*x),x,7,sqrt(c)*x^(3/2)*(c*x^4+b*x^2+a)/a/(sqrt(a)+sqrt(c)*x^2)/sqrt(c*x^5+b*x^3+a*x)-sqrt(c*x^5+b*x^3+a*x)/a/x^(3/2)-c^(1/4)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^5+b*x^3+a*x)+1/2*c^(1/4)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/sqrt(c*x^5+b*x^3+a*x),1],
[x^(3/2)/(c*x^5+b*x^3+a*x)^(3/2),x,6,x^(3/2)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(c*x^5+b*x^3+a*x)-b*sqrt(c)*x^(3/2)*(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)/sqrt(c*x^5+b*x^3+a*x)+b*c^(1/4)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/sqrt(c*x^5+b*x^3+a*x)-1/2*c^(1/4)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/sqrt(c*x^5+b*x^3+a*x),1],
[sqrt(x)/(c*x^5+b*x^3+a*x)^(3/2),x,3,sqrt(x)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(c*x^5+b*x^3+a*x)-1/2*arctanh(1/2*sqrt(x)*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^5+b*x^3+a*x))/a^(3/2),1],
[1/sqrt(x)/(c*x^5+b*x^3+a*x)^(3/2),x,7,(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(x)/sqrt(c*x^5+b*x^3+a*x)+2*sqrt(c)*(-3*a*c+b^2)*x^(3/2)*(c*x^4+b*x^2+a)/a^2/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)/sqrt(c*x^5+b*x^3+a*x)-2*(-3*a*c+b^2)*sqrt(c*x^5+b*x^3+a*x)/a^2/(-4*a*c+b^2)/x^(3/2)-2*c^(1/4)*(-3*a*c+b^2)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/(-4*a*c+b^2)/sqrt(c*x^5+b*x^3+a*x)+1/2*c^(1/4)*(2*b^2+sqrt(a)*b*sqrt(c)-6*a*c)*sqrt(x)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(7/4)/(-4*a*c+b^2)/sqrt(c*x^5+b*x^3+a*x),1],
[1/x^(3/2)/(c*x^5+b*x^3+a*x)^(3/2),x,5,(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/x^(3/2)/sqrt(c*x^5+b*x^3+a*x)-1/2*(-8*a*c+3*b^2)*sqrt(c*x^5+b*x^3+a*x)/a^2/(-4*a*c+b^2)/x^(5/2)+3/4*b*arctanh(1/2*sqrt(x)*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^5+b*x^3+a*x))/a^(5/2),1],
[x^(-3/2+3/2*n)/(a*x^(-1+n)+b*x^n+c*x^(1+n))^(3/2),x,1,-2*x^(-1/2+1/2*n)*(2*c*x+b)/(-4*a*c+b^2)/sqrt(a*x^(-1+n)+b*x^n+c*x^(1+n)),1],
[(d*x)^m*(c*x^5+b*x^3+a*x)^3,x,4,a^3*(d*x)^(4+m)/d^4/(4+m)+3*a^2*b*(d*x)^(6+m)/d^6/(6+m)+3*a*(a*c+b^2)*(d*x)^(8+m)/d^8/(8+m)+b*(6*a*c+b^2)*(d*x)^(10+m)/d^10/(10+m)+3*c*(a*c+b^2)*(d*x)^(12+m)/d^12/(12+m)+3*b*c^2*(d*x)^(14+m)/d^14/(14+m)+c^3*(d*x)^(16+m)/d^16/(16+m),1],
[(d*x)^m*(c*x^5+b*x^3+a*x)^2,x,4,a^2*(d*x)^(3+m)/d^3/(3+m)+2*a*b*(d*x)^(5+m)/d^5/(5+m)+(2*a*c+b^2)*(d*x)^(7+m)/d^7/(7+m)+2*b*c*(d*x)^(9+m)/d^9/(9+m)+c^2*(d*x)^(11+m)/d^11/(11+m),1],
[(d*x)^m*(c*x^5+b*x^3+a*x),x,4,a*(d*x)^(2+m)/d^2/(2+m)+b*(d*x)^(4+m)/d^4/(4+m)+c*(d*x)^(6+m)/d^6/(6+m),1],
[(d*x)^m/(c*x^5+b*x^3+a*x),x,5,-2*c*(d*x)^m*hypergeom([1, 1/2*m],[1+1/2*m],-2*c*x^2/(b-sqrt(-4*a*c+b^2)))/(b^2-4*a*c-b*sqrt(-4*a*c+b^2))/m-2*c*(d*x)^m*hypergeom([1, 1/2*m],[1+1/2*m],-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/(b^2-4*a*c+b*sqrt(-4*a*c+b^2))/m,1],
[(d*x)^m/(c*x^5+b*x^3+a*x)^2,x,6,1/2*d*(d*x)^(-1+m)*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*c*d*(b^2*(3-m)+b*sqrt(-4*a*c+b^2)*(3-m)-4*a*c*(5-m))*(d*x)^(-1+m)*hypergeom([1, -1/2+1/2*m],[1/2+1/2*m],-2*c*x^2/(b-sqrt(-4*a*c+b^2)))/a/(-4*a*c+b^2)^(3/2)/(b-sqrt(-4*a*c+b^2))/(1-m)+1/2*c*d*(b^2*(3-m)-b*sqrt(-4*a*c+b^2)*(3-m)-4*a*c*(5-m))*(d*x)^(-1+m)*hypergeom([1, -1/2+1/2*m],[1/2+1/2*m],-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/a/(-4*a*c+b^2)^(3/2)/(b+sqrt(-4*a*c+b^2))/(1-m),1],
[x*(e*x^2+d)/sqrt(c*x^5+b*x^3+a*x),x,8,2/3*d*x^2*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(3/4,1/2,1/2,7/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/sqrt(c*x^5+b*x^3+a*x)+2/7*e*x^4*sqrt(1+2*c*x^2/(b-sqrt(-4*a*c+b^2)))*sqrt(1+2*c*x^2/(b+sqrt(-4*a*c+b^2)))*AppellF1(7/4,1/2,1/2,11/4,-2*c*x^2/(b-sqrt(-4*a*c+b^2)),-2*c*x^2/(b+sqrt(-4*a*c+b^2)))/sqrt(c*x^5+b*x^3+a*x),1],
[1/sqrt(x^6-3*x^4+3*x^2),x,2,-1/2*arctanh(1/2*sqrt(3)*x*(-x^2+2)/sqrt(x^6-3*x^4+3*x^2))/sqrt(3),1],
[1/sqrt(x^2*(x^4-3*x^2+3)),x,3,-1/2*arctanh(1/2*sqrt(3)*x*(-x^2+2)/sqrt(x^6-3*x^4+3*x^2))/sqrt(3),1],
[1/sqrt(1-(-x^2+1)^3),x,3,-1/2*arctanh(1/2*sqrt(3)*x*(-x^2+2)/sqrt(x^6-3*x^4+3*x^2))/sqrt(3),1],
[1/x/sqrt(x^4-3*x^2+3),x,3,-1/2*arctanh(1/2*sqrt(3)*(-x^2+2)/sqrt(x^4-3*x^2+3))/sqrt(3),1],
[1/sqrt(x)/sqrt(x*(x^2-3*x+3)),x,3,-arctanh(1/2*sqrt(3)*(2-x)*sqrt(x)/sqrt(x^3-3*x^2+3*x))/sqrt(3),1],
[sqrt(x^6-3*x^4+3*x^2),x,7,-3/8*sqrt(x^6-3*x^4+3*x^2)/x+1/4*x*sqrt(x^6-3*x^4+3*x^2)-3/16*x*sqrt(x^4-3*x^2+3)*arcsinh((-2*x^2+3)/sqrt(3))/sqrt(x^6-3*x^4+3*x^2),1],
[sqrt(x^2*(x^4-3*x^2+3)),x,8,-3/8*sqrt(x^6-3*x^4+3*x^2)/x+1/4*x*sqrt(x^6-3*x^4+3*x^2)-3/16*x*sqrt(x^4-3*x^2+3)*arcsinh((-2*x^2+3)/sqrt(3))/sqrt(x^6-3*x^4+3*x^2),1],
[sqrt(1-(-x^2+1)^3),x,8,-3/8*sqrt(x^6-3*x^4+3*x^2)/x+1/4*x*sqrt(x^6-3*x^4+3*x^2)-3/16*x*sqrt(x^4-3*x^2+3)*arcsinh((-2*x^2+3)/sqrt(3))/sqrt(x^6-3*x^4+3*x^2),1],
[1/x/sqrt(c*x^4+b*x^2+a),x,3,-1/2*arctanh(1/2*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^4+b*x^2+a))/sqrt(a),1],
[1/sqrt(x^2*(c*x^4+b*x^2+a)),x,3,-1/2*arctanh(1/2*x*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^6+b*x^4+a*x^2))/sqrt(a),1],
[1/sqrt(x)/sqrt(x*(c*x^4+b*x^2+a)),x,3,-1/2*arctanh(1/2*sqrt(x)*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^5+b*x^3+a*x))/sqrt(a),1],
[sqrt(x)/sqrt(x^3*(c*x^4+b*x^2+a)),x,3,-1/2*arctanh(1/2*x^(3/2)*(b*x^2+2*a)/sqrt(a)/sqrt(c*x^7+b*x^5+a*x^3))/sqrt(a),1],
[x^(-1+1/2*q)/sqrt(b*x^n+c*x^(2*n-q)+a*x^q),x,2,-arctanh(1/2*x^(1/2*q)*(2*a+b*x^(n-q))/sqrt(a)/sqrt(b*x^n+c*x^(2*n-q)+a*x^q))/sqrt(a)/(n-q),1]]: