lst:=[[(b*x^2+a)*(-d^2*x^2+c^2),x,2,a*c^2*x+1/3*(-a*d^2+b*c^2)*x^3-1/5*b*d^2*x^5,1],
[(-d*x+c)*(d*x+c)*(b*x^2+a),x,3,a*c^2*x+1/3*(-a*d^2+b*c^2)*x^3-1/5*b*d^2*x^5,1],
[(c*x^2+a)^3/sqrt(-e*x+1)/sqrt(e*x+1),x,5,-1/16*c*(24*a^2*e^4+18*a*c*e^2+5*c^2)*x*sqrt(-e^2*x^2+1)/e^6-1/24*c^2*(18*a*e^2+5*c)*x^3*sqrt(-e^2*x^2+1)/e^4-1/6*c^3*x^5*sqrt(-e^2*x^2+1)/e^2+1/16*(2*a*e^2+c)*(8*a^2*e^4+8*a*c*e^2+5*c^2)*arcsin(e*x)/e^7,1],
[(c*x^2+a)^2/sqrt(-e*x+1)/sqrt(e*x+1),x,4,-1/8*c*(8*a*e^2+3*c)*x*sqrt(-e^2*x^2+1)/e^4-1/4*c^2*x^3*sqrt(-e^2*x^2+1)/e^2+1/8*(8*a^2*e^4+8*a*c*e^2+3*c^2)*arcsin(e*x)/e^5,1],
[(c*x^2+a)/sqrt(-e*x+1)/sqrt(e*x+1),x,3,-1/2*c*x*sqrt(-e^2*x^2+1)/e^2+1/2*(2*a*e^2+c)*arcsin(e*x)/e^3,1],
[1/sqrt(-e*x+1)/sqrt(e*x+1)/(c*x^2+a),x,3,arctan(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(-e^2*x^2+1))/sqrt(a)/sqrt(a*e^2+c),1],
[1/sqrt(-e*x+1)/sqrt(e*x+1)/(c*x^2+a)^2,x,4,1/2*c*x*sqrt(-e^2*x^2+1)/a/(a*e^2+c)/(c*x^2+a)+1/2*(2*a*e^2+c)*arctan(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(-e^2*x^2+1))/a^(3/2)/(a*e^2+c)^(3/2),1],
[1/sqrt(-e*x+1)/sqrt(e*x+1)/(c*x^2+a)^3,x,5,1/4*c*x*sqrt(-e^2*x^2+1)/a/(a*e^2+c)/(c*x^2+a)^2+3/8*c*(2*a*e^2+c)*x*sqrt(-e^2*x^2+1)/a^2/(a*e^2+c)^2/(c*x^2+a)+1/8*(8*a^2*e^4+8*a*c*e^2+3*c^2)*arctan(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(-e^2*x^2+1))/a^(5/2)/(a*e^2+c)^(5/2),1],
[(c*x^2+a)^3/(-e*x+1)^(3/2)/(e*x+1)^(3/2),x,5,(a*e^2+c)^3*x/e^6/sqrt(-e^2*x^2+1)+1/8*c^2*(12*a*e^2+7*c)*x*sqrt(-e^2*x^2+1)/e^6+1/4*c^3*x^3*sqrt(-e^2*x^2+1)/e^4-3/8*c*(8*a^2*e^4+12*a*c*e^2+5*c^2)*arcsin(e*x)/e^7,1],
[(c*x^2+a)^2/(-e*x+1)^(3/2)/(e*x+1)^(3/2),x,4,(a*e^2+c)^2*x/e^4/sqrt(-e^2*x^2+1)+1/2*c^2*x*sqrt(-e^2*x^2+1)/e^4-1/2*c*(4*a*e^2+3*c)*arcsin(e*x)/e^5,1],
[(c*x^2+a)/(-e*x+1)^(3/2)/(e*x+1)^(3/2),x,3,(a*e^2+c)*x/e^2/sqrt(-e^2*x^2+1)-c*arcsin(e*x)/e^3,1],
[1/(-e*x+1)^(3/2)/(e*x+1)^(3/2)/(c*x^2+a),x,4,e^2*x/(a*e^2+c)/sqrt(-e^2*x^2+1)+c*arctan(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(-e^2*x^2+1))/sqrt(a)/(a*e^2+c)^(3/2),1],
[1/(-e*x+1)^(3/2)/(e*x+1)^(3/2)/(c*x^2+a)^2,x,5,-1/2*e^2*(-2*a*e^2+c)*x/a/(a*e^2+c)^2/sqrt(-e^2*x^2+1)+1/2*c*x/a/(a*e^2+c)/(c*x^2+a)/sqrt(-e^2*x^2+1)+1/2*c*(4*a*e^2+c)*arctan(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(-e^2*x^2+1))/a^(3/2)/(a*e^2+c)^(5/2),1],
[(c*x^2+a)^3/sqrt(e*x-1)/sqrt(e*x+1),x,6,1/16*c*(24*a^2*e^4+18*a*c*e^2+5*c^2)*x*sqrt(e*x-1)*sqrt(e*x+1)/e^6+1/24*c^2*(18*a*e^2+5*c)*x^3*sqrt(e*x-1)*sqrt(e*x+1)/e^4+1/6*c^3*x^5*sqrt(e*x-1)*sqrt(e*x+1)/e^2+1/16*(2*a*e^2+c)*(8*a^2*e^4+8*a*c*e^2+5*c^2)*arccosh(e*x)/e^7,1],
[(c*x^2+a)^2/sqrt(e*x-1)/sqrt(e*x+1),x,5,1/8*c*(8*a*e^2+3*c)*x*sqrt(e*x-1)*sqrt(e*x+1)/e^4+1/4*c^2*x^3*sqrt(e*x-1)*sqrt(e*x+1)/e^2+1/8*(8*a^2*e^4+8*a*c*e^2+3*c^2)*arccosh(e*x)/e^5,1],
[(c*x^2+a)/sqrt(e*x-1)/sqrt(e*x+1),x,2,1/2*c*x*sqrt(e*x-1)*sqrt(e*x+1)/e^2+1/2*(2*a*e^2+c)*arccosh(e*x)/e^3,1],
[1/sqrt(e*x-1)/sqrt(e*x+1)/(c*x^2+a),x,3,sqrt(e^2*x^2-1)*arctanh(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(e^2*x^2-1))/sqrt(a)/sqrt(a*e^2+c)/sqrt(e*x-1)/sqrt(e*x+1),1],
[1/sqrt(e*x-1)/sqrt(e*x+1)/(c*x^2+a)^2,x,4,-1/2*c*x*sqrt(e*x-1)*sqrt(e*x+1)/a/(a*e^2+c)/(c*x^2+a)+1/2*(2*a*e^2+c)*sqrt(e^2*x^2-1)*arctanh(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(e^2*x^2-1))/a^(3/2)/(a*e^2+c)^(3/2)/sqrt(e*x-1)/sqrt(e*x+1),1],
[1/sqrt(e*x-1)/sqrt(e*x+1)/(c*x^2+a)^3,x,5,-1/4*c*x*sqrt(e*x-1)*sqrt(e*x+1)/a/(a*e^2+c)/(c*x^2+a)^2-3/8*c*(2*a*e^2+c)*x*sqrt(e*x-1)*sqrt(e*x+1)/a^2/(a*e^2+c)^2/(c*x^2+a)+1/8*(8*a^2*e^4+8*a*c*e^2+3*c^2)*sqrt(e^2*x^2-1)*arctanh(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(e^2*x^2-1))/a^(5/2)/(a*e^2+c)^(5/2)/sqrt(e*x-1)/sqrt(e*x+1),1],
[(c*x^2+a)^3/(e*x-1)^(3/2)/(e*x+1)^(3/2),x,6,-(a*e^2+c)^3*x/e^6/sqrt(e*x-1)/sqrt(e*x+1)+1/8*c^2*(12*a*e^2+7*c)*x*sqrt(e*x-1)*sqrt(e*x+1)/e^6+1/4*c^3*x^3*sqrt(e*x-1)*sqrt(e*x+1)/e^4+3/8*c*(8*a^2*e^4+12*a*c*e^2+5*c^2)*arccosh(e*x)/e^7,1],
[(c*x^2+a)^2/(e*x-1)^(3/2)/(e*x+1)^(3/2),x,5,-(a*e^2+c)^2*x/e^4/sqrt(e*x-1)/sqrt(e*x+1)+1/2*c^2*x*sqrt(e*x-1)*sqrt(e*x+1)/e^4+1/2*c*(4*a*e^2+3*c)*arccosh(e*x)/e^5,1],
[(c*x^2+a)/(e*x-1)^(3/2)/(e*x+1)^(3/2),x,2,-(a*e^2+c)*x/e^2/sqrt(e*x-1)/sqrt(e*x+1)+c*arccosh(e*x)/e^3,1],
[1/(e*x-1)^(3/2)/(e*x+1)^(3/2)/(c*x^2+a),x,4,-e^2*x/(a*e^2+c)/sqrt(e*x-1)/sqrt(e*x+1)-c*sqrt(e^2*x^2-1)*arctanh(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(e^2*x^2-1))/sqrt(a)/(a*e^2+c)^(3/2)/sqrt(e*x-1)/sqrt(e*x+1),1],
[1/(e*x-1)^(3/2)/(e*x+1)^(3/2)/(c*x^2+a)^2,x,5,1/2*e^2*(-2*a*e^2+c)*x/a/(a*e^2+c)^2/sqrt(e*x-1)/sqrt(e*x+1)-1/2*c*x/a/(a*e^2+c)/sqrt(e*x-1)/sqrt(e*x+1)/(c*x^2+a)-1/2*c*(4*a*e^2+c)*sqrt(e^2*x^2-1)*arctanh(sqrt(a*e^2+c)*x/sqrt(a)/sqrt(e^2*x^2-1))/a^(3/2)/(a*e^2+c)^(5/2)/sqrt(e*x-1)/sqrt(e*x+1),1],
[sqrt(-e*x+d)*sqrt(e*x+d)*(c*x^2+a)^(3/2),x,10,1/15*(3*a-c*d^2/e^2)*x*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(c*x^2+a)+1/5*x*sqrt(-e*x+d)*sqrt(e*x+d)*(c*x^2+a)^(3/2)+1/15*d*(-3*a^2*e^4+7*a*c*d^2*e^2+2*c^2*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(c*x^2+a)*sqrt(1-e^2*x^2/d^2)*EllipticE(sin(arcsin(e*x/d)),sqrt(-c*d^2/a/e^2))/c/e^3/sqrt(1+c*x^2/a)/(-e^2*x^2+d^2)-1/15*a*d*(-3*a*e^2+c*d^2)*(a*e^2+c*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(1+c*x^2/a)*sqrt(1-e^2*x^2/d^2)*InverseJacobiAM(arcsin(e*x/d),sqrt(-c*d^2/a/e^2))/c/e^3/sqrt(c*x^2+a)/(-e^2*x^2+d^2),1],
[sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(c*x^2+a),x,9,1/3*x*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(c*x^2+a)+1/3*d*(d^2-a*e^2/c)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(c*x^2+a)*sqrt(1-e^2*x^2/d^2)*EllipticE(sin(arcsin(e*x/d)),sqrt(-c*d^2/a/e^2))/e/sqrt(1+c*x^2/a)/(-e^2*x^2+d^2)+1/3*a*d*(a*e^2+c*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(1+c*x^2/a)*sqrt(1-e^2*x^2/d^2)*InverseJacobiAM(arcsin(e*x/d),sqrt(-c*d^2/a/e^2))/c/e/sqrt(c*x^2+a)/(-e^2*x^2+d^2),1],
[sqrt(-e*x+d)*sqrt(e*x+d)/sqrt(c*x^2+a),x,6,-a*e*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(1+c*x^2/a)*EllipticE(sin(arcsin(e*x/d)),sqrt(-c*d^2/a/e^2))/c/d/sqrt(c*x^2+a)/sqrt(1-e^2*x^2/d^2)+(d/e+a*e/c/d)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(1+c*x^2/a)*InverseJacobiAM(arcsin(e*x/d),sqrt(-c*d^2/a/e^2))/sqrt(c*x^2+a)/sqrt(1-e^2*x^2/d^2),1],
[sqrt(-e*x+d)*sqrt(e*x+d)/(c*x^2+a)^(3/2),x,2,sqrt(-e*x+d)*sqrt(e*x+d)*EllipticE(sin(arctan(sqrt(c)*x/sqrt(a))),sqrt(1+a*e^2/c/d^2))/sqrt(a)/sqrt(c)/sqrt(c*x^2+a)/sqrt(a*(-e^2*x^2+d^2)/d^2/(c*x^2+a)),1],
[sqrt(-e*x+d)*sqrt(e*x+d)/(c*x^2+a)^(5/2),x,10,1/3*x*sqrt(-e*x+d)*sqrt(e*x+d)/a/(c*x^2+a)^(3/2)+1/3*(a*e^2+2*c*d^2)*x*sqrt(-e*x+d)*sqrt(e*x+d)/a^2/(a*e^2+c*d^2)/sqrt(c*x^2+a)+1/3*d*e*(a*e^2+2*c*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(c*x^2+a)*sqrt(1-e^2*x^2/d^2)*EllipticE(sin(arcsin(e*x/d)),sqrt(-c*d^2/a/e^2))/a^2/c/(a*e^2+c*d^2)/sqrt(1+c*x^2/a)/(-e^2*x^2+d^2)-1/3*d*e*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(1+c*x^2/a)*sqrt(1-e^2*x^2/d^2)*InverseJacobiAM(arcsin(e*x/d),sqrt(-c*d^2/a/e^2))/a/c/sqrt(c*x^2+a)/(-e^2*x^2+d^2),1],
[sqrt(-e*x+d)*sqrt(e*x+d)/(c*x^2+a)^(7/2),x,11,1/5*x*sqrt(-e*x+d)*sqrt(e*x+d)/a/(c*x^2+a)^(5/2)+1/15*(3*a*e^2+4*c*d^2)*x*sqrt(-e*x+d)*sqrt(e*x+d)/a^2/(a*e^2+c*d^2)/(c*x^2+a)^(3/2)+1/15*(3*a^2*e^4+13*a*c*d^2*e^2+8*c^2*d^4)*x*sqrt(-e*x+d)*sqrt(e*x+d)/a^3/(a*e^2+c*d^2)^2/sqrt(c*x^2+a)+1/15*d*e*(3*a^2*e^4+13*a*c*d^2*e^2+8*c^2*d^4)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(c*x^2+a)*sqrt(1-e^2*x^2/d^2)*EllipticE(sin(arcsin(e*x/d)),sqrt(-c*d^2/a/e^2))/a^3/c/(a*e^2+c*d^2)^2/sqrt(1+c*x^2/a)/(-e^2*x^2+d^2)-1/15*d*e*(3*a*e^2+4*c*d^2)*sqrt(-e*x+d)*sqrt(e*x+d)*sqrt(1+c*x^2/a)*sqrt(1-e^2*x^2/d^2)*InverseJacobiAM(arcsin(e*x/d),sqrt(-c*d^2/a/e^2))/a^2/c/(a*e^2+c*d^2)/sqrt(c*x^2+a)/(-e^2*x^2+d^2),1],
[(-e*x+1)^m*(e*x+1)^m*(c*x^2+a)^p,x,4,x*(c*x^2+a)^p*AppellF1(1/2,-p,-m,3/2,-c*x^2/a,e^2*x^2)/((1+c*x^2/a)^p),1],
[(e*x-1)^m*(e*x+1)^m*(c*x^2+a)^p,x,5,x*(e*x-1)^m*(e*x+1)^m*(c*x^2+a)^p*AppellF1(1/2,-p,-m,3/2,-c*x^2/a,e^2*x^2)/((1+c*x^2/a)^p)/((-e^2*x^2+1)^m),1],
[(-e*x+d)^m*(e*x+d)^m*(c*x^2+a)^p,x,5,x*(-e*x+d)^m*(e*x+d)^m*(c*x^2+a)^p*AppellF1(1/2,-p,-m,3/2,-c*x^2/a,e^2*x^2/d^2)/((1+c*x^2/a)^p)/((1-e^2*x^2/d^2)^m),1],
[(e*x+d)^m*(-e*f*x+d*f)^m*(c*x^2+a)^p,x,5,x*(e*x+d)^m*(-e*f*x+d*f)^m*(c*x^2+a)^p*AppellF1(1/2,-p,-m,3/2,-c*x^2/a,e^2*x^2/d^2)/((1+c*x^2/a)^p)/((1-e^2*x^2/d^2)^m),1],
[(e*x+d)^3*sqrt(g*x+f)*(c*x^2+a),x,2,-2/3*(-d*g+e*f)^3*(a*g^2+c*f^2)*(g*x+f)^(3/2)/g^6+2/5*(-d*g+e*f)^2*(3*a*e*g^2+c*f*(-2*d*g+5*e*f))*(g*x+f)^(5/2)/g^6-2/7*(-d*g+e*f)*(3*a*e^2*g^2+c*(d^2*g^2-8*d*e*f*g+10*e^2*f^2))*(g*x+f)^(7/2)/g^6+2/9*e*(a*e^2*g^2+c*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2))*(g*x+f)^(9/2)/g^6-2/11*c*e^2*(-3*d*g+5*e*f)*(g*x+f)^(11/2)/g^6+2/13*c*e^3*(g*x+f)^(13/2)/g^6,1],
[(e*x+d)^2*sqrt(g*x+f)*(c*x^2+a),x,2,2/3*(-d*g+e*f)^2*(a*g^2+c*f^2)*(g*x+f)^(3/2)/g^5-4/5*(-d*g+e*f)*(a*e*g^2+c*f*(-d*g+2*e*f))*(g*x+f)^(5/2)/g^5+2/7*(a*e^2*g^2+c*(d^2*g^2-6*d*e*f*g+6*e^2*f^2))*(g*x+f)^(7/2)/g^5-4/9*c*e*(-d*g+2*e*f)*(g*x+f)^(9/2)/g^5+2/11*c*e^2*(g*x+f)^(11/2)/g^5,1],
[(e*x+d)*sqrt(g*x+f)*(c*x^2+a),x,2,-2/3*(-d*g+e*f)*(a*g^2+c*f^2)*(g*x+f)^(3/2)/g^4+2/5*(a*e*g^2+c*f*(-2*d*g+3*e*f))*(g*x+f)^(5/2)/g^4-2/7*c*(-d*g+3*e*f)*(g*x+f)^(7/2)/g^4+2/9*c*e*(g*x+f)^(9/2)/g^4,1],
[sqrt(g*x+f)*(c*x^2+a),x,2,2/3*(a*g^2+c*f^2)*(g*x+f)^(3/2)/g^3-4/5*c*f*(g*x+f)^(5/2)/g^3+2/7*c*(g*x+f)^(7/2)/g^3,1],
[sqrt(g*x+f)*(c*x^2+a)/(e*x+d),x,5,2*(a*e^2+c*d^2)*sqrt(g*x+f)/e^3-2/3*c*(d*g+e*f)*(g*x+f)^(3/2)/e^2/g^2+2/5*c*(g*x+f)^(5/2)/e/g^2-2*(a*e^2+c*d^2)*sqrt(-d*g+e*f)*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(7/2),1],
[sqrt(g*x+f)*(c*x^2+a)/(e*x+d)^2,x,5,-4*c*d*sqrt(g*x+f)/e^3-(a*e^2+c*d^2)*sqrt(g*x+f)/e^3/(e*x+d)+2/3*c*(g*x+f)^(3/2)/e^2/g-(a*e^2*g-c*d*(-5*d*g+4*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(7/2)/sqrt(-d*g+e*f),1],
[sqrt(g*x+f)*(c*x^2+a)/(e*x+d)^3,x,5,2*c*sqrt(g*x+f)/e^3-1/2*(a*e^2+c*d^2)*sqrt(g*x+f)/e^3/(e*x+d)^2-1/4*(a*e^2*g-c*d*(-9*d*g+8*e*f))*sqrt(g*x+f)/e^3/(-d*g+e*f)/(e*x+d)+1/4*(a*e^2*g^2-c*(15*d^2*g^2-24*d*e*f*g+8*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(7/2)/(-d*g+e*f)^(3/2),1],
[(e*x+d)^3*(g*x+f)^(3/2)*(c*x^2+a),x,2,-2/5*(-d*g+e*f)^3*(a*g^2+c*f^2)*(g*x+f)^(5/2)/g^6+2/7*(-d*g+e*f)^2*(3*a*e*g^2+c*f*(-2*d*g+5*e*f))*(g*x+f)^(7/2)/g^6-2/9*(-d*g+e*f)*(3*a*e^2*g^2+c*(d^2*g^2-8*d*e*f*g+10*e^2*f^2))*(g*x+f)^(9/2)/g^6+2/11*e*(a*e^2*g^2+c*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2))*(g*x+f)^(11/2)/g^6-2/13*c*e^2*(-3*d*g+5*e*f)*(g*x+f)^(13/2)/g^6+2/15*c*e^3*(g*x+f)^(15/2)/g^6,1],
[(e*x+d)^2*(g*x+f)^(3/2)*(c*x^2+a),x,2,2/5*(-d*g+e*f)^2*(a*g^2+c*f^2)*(g*x+f)^(5/2)/g^5-4/7*(-d*g+e*f)*(a*e*g^2+c*f*(-d*g+2*e*f))*(g*x+f)^(7/2)/g^5+2/9*(a*e^2*g^2+c*(d^2*g^2-6*d*e*f*g+6*e^2*f^2))*(g*x+f)^(9/2)/g^5-4/11*c*e*(-d*g+2*e*f)*(g*x+f)^(11/2)/g^5+2/13*c*e^2*(g*x+f)^(13/2)/g^5,1],
[(e*x+d)*(g*x+f)^(3/2)*(c*x^2+a),x,2,-2/5*(-d*g+e*f)*(a*g^2+c*f^2)*(g*x+f)^(5/2)/g^4+2/7*(a*e*g^2+c*f*(-2*d*g+3*e*f))*(g*x+f)^(7/2)/g^4-2/9*c*(-d*g+3*e*f)*(g*x+f)^(9/2)/g^4+2/11*c*e*(g*x+f)^(11/2)/g^4,1],
[(g*x+f)^(3/2)*(c*x^2+a),x,2,2/5*(a*g^2+c*f^2)*(g*x+f)^(5/2)/g^3-4/7*c*f*(g*x+f)^(7/2)/g^3+2/9*c*(g*x+f)^(9/2)/g^3,1],
[(g*x+f)^(3/2)*(c*x^2+a)/(e*x+d),x,6,2*(a*e^2+c*d^2)*(-d*g+e*f)*sqrt(g*x+f)/e^4+2/3*(a*e^2+c*d^2)*(g*x+f)^(3/2)/e^3-2/5*c*(d*g+e*f)*(g*x+f)^(5/2)/e^2/g^2+2/7*c*(g*x+f)^(7/2)/e/g^2-2*(a*e^2+c*d^2)*(-d*g+e*f)^(3/2)*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(9/2),1],
[(g*x+f)^(3/2)*(c*x^2+a)/(e*x+d)^2,x,6,(3*a*e^2*g-c*d*(-7*d*g+4*e*f))*sqrt(g*x+f)/e^4-4/3*c*d*(g*x+f)^(3/2)/e^3-(a*e^2+c*d^2)*(g*x+f)^(3/2)/e^3/(e*x+d)+2/5*c*(g*x+f)^(5/2)/e^2/g-sqrt(-d*g+e*f)*(3*a*e^2*g-c*d*(-7*d*g+4*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(9/2),1],
[(g*x+f)^(3/2)*(c*x^2+a)/(e*x+d)^3,x,6,2*c*(-3*d*g+e*f)*sqrt(g*x+f)/e^4-1/4*(3*a*e^2*g-c*d*(-11*d*g+8*e*f))*sqrt(g*x+f)/e^4/(e*x+d)+2/3*c*(g*x+f)^(3/2)/e^3-1/2*(a*e^2+c*d^2)*(g*x+f)^(3/2)/e^3/(e*x+d)^2-1/4*(3*a*e^2*g^2+c*(35*d^2*g^2-40*d*e*f*g+8*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(9/2)/sqrt(-d*g+e*f),1],
[(e*x+d)^3*(c*x^2+a)/sqrt(g*x+f),x,2,-2*(-d*g+e*f)^3*(a*g^2+c*f^2)*sqrt(g*x+f)/g^6+2/3*(-d*g+e*f)^2*(3*a*e*g^2+c*f*(-2*d*g+5*e*f))*(g*x+f)^(3/2)/g^6-2/5*(-d*g+e*f)*(3*a*e^2*g^2+c*(d^2*g^2-8*d*e*f*g+10*e^2*f^2))*(g*x+f)^(5/2)/g^6+2/7*e*(a*e^2*g^2+c*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2))*(g*x+f)^(7/2)/g^6-2/9*c*e^2*(-3*d*g+5*e*f)*(g*x+f)^(9/2)/g^6+2/11*c*e^3*(g*x+f)^(11/2)/g^6,1],
[(e*x+d)^2*(c*x^2+a)/sqrt(g*x+f),x,2,2*(-d*g+e*f)^2*(a*g^2+c*f^2)*sqrt(g*x+f)/g^5-4/3*(-d*g+e*f)*(a*e*g^2+c*f*(-d*g+2*e*f))*(g*x+f)^(3/2)/g^5+2/5*(a*e^2*g^2+c*(d^2*g^2-6*d*e*f*g+6*e^2*f^2))*(g*x+f)^(5/2)/g^5-4/7*c*e*(-d*g+2*e*f)*(g*x+f)^(7/2)/g^5+2/9*c*e^2*(g*x+f)^(9/2)/g^5,1],
[(e*x+d)*(c*x^2+a)/sqrt(g*x+f),x,2,-2*(-d*g+e*f)*(a*g^2+c*f^2)*sqrt(g*x+f)/g^4+2/3*(a*e*g^2+c*f*(-2*d*g+3*e*f))*(g*x+f)^(3/2)/g^4-2/5*c*(-d*g+3*e*f)*(g*x+f)^(5/2)/g^4+2/7*c*e*(g*x+f)^(7/2)/g^4,1],
[(c*x^2+a)/sqrt(g*x+f),x,2,2*(a*g^2+c*f^2)*sqrt(g*x+f)/g^3-4/3*c*f*(g*x+f)^(3/2)/g^3+2/5*c*(g*x+f)^(5/2)/g^3,1],
[(c*x^2+a)/(e*x+d)/sqrt(g*x+f),x,4,-2*c*(d*g+e*f)*sqrt(g*x+f)/e^2/g^2+2/3*c*(g*x+f)^(3/2)/e/g^2-2*(a*e^2+c*d^2)*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(5/2)/sqrt(-d*g+e*f),1],
[(c*x^2+a)/(e*x+d)^2/sqrt(g*x+f),x,4,2*c*sqrt(g*x+f)/e^2/g-(a*e^2+c*d^2)*sqrt(g*x+f)/e^2/(-d*g+e*f)/(e*x+d)+(a*e^2*g+c*d*(-3*d*g+4*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(5/2)/(-d*g+e*f)^(3/2),1],
[(c*x^2+a)/(e*x+d)^3/sqrt(g*x+f),x,4,-1/2*(a*e^2+c*d^2)*sqrt(g*x+f)/e^2/(-d*g+e*f)/(e*x+d)^2+1/4*(3*a*e^2*g+c*d*(-5*d*g+8*e*f))*sqrt(g*x+f)/e^2/(-d*g+e*f)^2/(e*x+d)-1/4*(3*a*e^2*g^2+c*(3*d^2*g^2-8*d*e*f*g+8*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(5/2)/(-d*g+e*f)^(5/2),1],
[(e*x+d)^3*(c*x^2+a)/(g*x+f)^(3/2),x,2,2*(-d*g+e*f)^3*(a*g^2+c*f^2)/g^6/sqrt(g*x+f)+2*(-d*g+e*f)^2*(3*a*e*g^2+c*f*(-2*d*g+5*e*f))*sqrt(g*x+f)/g^6-2/3*(-d*g+e*f)*(3*a*e^2*g^2+c*(d^2*g^2-8*d*e*f*g+10*e^2*f^2))*(g*x+f)^(3/2)/g^6+2/5*e*(a*e^2*g^2+c*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2))*(g*x+f)^(5/2)/g^6-2/7*c*e^2*(-3*d*g+5*e*f)*(g*x+f)^(7/2)/g^6+2/9*c*e^3*(g*x+f)^(9/2)/g^6,1],
[(e*x+d)^2*(c*x^2+a)/(g*x+f)^(3/2),x,2,-2*(-d*g+e*f)^2*(a*g^2+c*f^2)/g^5/sqrt(g*x+f)-4*(-d*g+e*f)*(a*e*g^2+c*f*(-d*g+2*e*f))*sqrt(g*x+f)/g^5+2/3*(a*e^2*g^2+c*(d^2*g^2-6*d*e*f*g+6*e^2*f^2))*(g*x+f)^(3/2)/g^5-4/5*c*e*(-d*g+2*e*f)*(g*x+f)^(5/2)/g^5+2/7*c*e^2*(g*x+f)^(7/2)/g^5,1],
[(e*x+d)*(c*x^2+a)/(g*x+f)^(3/2),x,2,2*(-d*g+e*f)*(a*g^2+c*f^2)/g^4/sqrt(g*x+f)+2*(a*e*g^2+c*f*(-2*d*g+3*e*f))*sqrt(g*x+f)/g^4-2/3*c*(-d*g+3*e*f)*(g*x+f)^(3/2)/g^4+2/5*c*e*(g*x+f)^(5/2)/g^4,1],
[(c*x^2+a)/(g*x+f)^(3/2),x,2,(-2*a*g^2-2*c*f^2)/g^3/sqrt(g*x+f)-4*c*f*sqrt(g*x+f)/g^3+2/3*c*(g*x+f)^(3/2)/g^3,1],
[(c*x^2+a)/(e*x+d)/(g*x+f)^(3/2),x,4,2*(a*g^2+c*f^2)/g^2/(-d*g+e*f)/sqrt(g*x+f)+2*c*sqrt(g*x+f)/e/g^2-2*(a*e^2+c*d^2)*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(3/2)/(-d*g+e*f)^(3/2),1],
[(c*x^2+a)/(e*x+d)^2/(g*x+f)^(3/2),x,4,(-2*a*g^2-2*c*f^2)/g/(-d*g+e*f)^2/sqrt(g*x+f)-(a*e^2+c*d^2)*sqrt(g*x+f)/e/(-d*g+e*f)^2/(e*x+d)+(3*a*e^2*g+c*d*(-d*g+4*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(3/2)/(-d*g+e*f)^(5/2),1],
[(c*x^2+a)/(e*x+d)^3/(g*x+f)^(3/2),x,5,2*(a*g^2+c*f^2)/(-d*g+e*f)^3/sqrt(g*x+f)-1/2*(a*e^2+c*d^2)*sqrt(g*x+f)/e/(-d*g+e*f)^2/(e*x+d)^2+1/4*(7*a*e^2*g+c*d*(-d*g+8*e*f))*sqrt(g*x+f)/e/(-d*g+e*f)^3/(e*x+d)-1/4*(15*a*e^2*g^2+c*(-d^2*g^2+8*d*e*f*g+8*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(3/2)/(-d*g+e*f)^(7/2),1],
[(e*x+d)^3*sqrt(g*x+f)*(c*x^2+a)^2,x,2,-2/3*(-d*g+e*f)^3*(a*g^2+c*f^2)^2*(g*x+f)^(3/2)/g^8+2/5*(-d*g+e*f)^2*(a*g^2+c*f^2)*(3*a*e*g^2+c*f*(-4*d*g+7*e*f))*(g*x+f)^(5/2)/g^8-2/7*(-d*g+e*f)*(3*a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-8*d*e*f*g+10*e^2*f^2)+3*c^2*f^2*(2*d^2*g^2-8*d*e*f*g+7*e^2*f^2))*(g*x+f)^(7/2)/g^8+2/9*(a^2*e^3*g^4+2*a*c*e*g^2*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2)+c^2*f*(-4*d^3*g^3+30*d^2*e*f*g^2-60*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(9/2)/g^8-2/11*c*(2*a*e^2*g^2*(-3*d*g+5*e*f)+c*(-d^3*g^3+15*d^2*e*f*g^2-45*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(11/2)/g^8+2/13*c*e*(2*a*e^2*g^2+3*c*(d^2*g^2-6*d*e*f*g+7*e^2*f^2))*(g*x+f)^(13/2)/g^8-2/15*c^2*e^2*(-3*d*g+7*e*f)*(g*x+f)^(15/2)/g^8+2/17*c^2*e^3*(g*x+f)^(17/2)/g^8,1],
[(e*x+d)^2*sqrt(g*x+f)*(c*x^2+a)^2,x,2,2/3*(-d*g+e*f)^2*(a*g^2+c*f^2)^2*(g*x+f)^(3/2)/g^7-4/5*(-d*g+e*f)*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-2*d*g+3*e*f))*(g*x+f)^(5/2)/g^7+2/7*(a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-6*d*e*f*g+6*e^2*f^2)+c^2*f^2*(6*d^2*g^2-20*d*e*f*g+15*e^2*f^2))*(g*x+f)^(7/2)/g^7-8/9*c*(a*e*g^2*(-d*g+2*e*f)+c*f*(d^2*g^2-5*d*e*f*g+5*e^2*f^2))*(g*x+f)^(9/2)/g^7+2/11*c*(2*a*e^2*g^2+c*(d^2*g^2-10*d*e*f*g+15*e^2*f^2))*(g*x+f)^(11/2)/g^7-4/13*c^2*e*(-d*g+3*e*f)*(g*x+f)^(13/2)/g^7+2/15*c^2*e^2*(g*x+f)^(15/2)/g^7,1],
[(e*x+d)*sqrt(g*x+f)*(c*x^2+a)^2,x,2,-2/3*(-d*g+e*f)*(a*g^2+c*f^2)^2*(g*x+f)^(3/2)/g^6+2/5*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-4*d*g+5*e*f))*(g*x+f)^(5/2)/g^6-4/7*c*(c*f^2*(-3*d*g+5*e*f)+a*g^2*(-d*g+3*e*f))*(g*x+f)^(7/2)/g^6+4/9*c*(a*e*g^2+c*f*(-2*d*g+5*e*f))*(g*x+f)^(9/2)/g^6-2/11*c^2*(-d*g+5*e*f)*(g*x+f)^(11/2)/g^6+2/13*c^2*e*(g*x+f)^(13/2)/g^6,1],
[sqrt(g*x+f)*(c*x^2+a)^2,x,2,2/3*(a*g^2+c*f^2)^2*(g*x+f)^(3/2)/g^5-8/5*c*f*(a*g^2+c*f^2)*(g*x+f)^(5/2)/g^5+4/7*c*(a*g^2+3*c*f^2)*(g*x+f)^(7/2)/g^5-8/9*c^2*f*(g*x+f)^(9/2)/g^5+2/11*c^2*(g*x+f)^(11/2)/g^5,1],
[sqrt(g*x+f)*(c*x^2+a)^2/(e*x+d),x,7,2*(a*e^2+c*d^2)^2*sqrt(g*x+f)/e^5-2/3*c*(d*g+e*f)*(2*a*e^2*g^2+c*d^2*g^2+c*e^2*f^2)*(g*x+f)^(3/2)/e^4/g^4+2/5*c*(2*a*e^2*g^2+c*(d^2*g^2+2*d*e*f*g+3*e^2*f^2))*(g*x+f)^(5/2)/e^3/g^4-2/7*c^2*(d*g+3*e*f)*(g*x+f)^(7/2)/e^2/g^4+2/9*c^2*(g*x+f)^(9/2)/e/g^4-2*(a*e^2+c*d^2)^2*sqrt(-d*g+e*f)*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(11/2),1],
[sqrt(g*x+f)*(c*x^2+a)^2/(e*x+d)^2,x,7,-8*c*d*(a*e^2+c*d^2)*sqrt(g*x+f)/e^5-(a*e^2+c*d^2)^2*sqrt(g*x+f)/e^5/(e*x+d)+2/3*c*(2*a*e^2*g^2+c*(3*d^2*g^2+2*d*e*f*g+e^2*f^2))*(g*x+f)^(3/2)/e^4/g^3-4/5*c^2*(d*g+e*f)*(g*x+f)^(5/2)/e^3/g^3+2/7*c^2*(g*x+f)^(7/2)/e^2/g^3-(a*e^2+c*d^2)*(a*e^2*g-c*d*(-9*d*g+8*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(11/2)/sqrt(-d*g+e*f),1],
[sqrt(g*x+f)*(c*x^2+a)^2/(e*x+d)^3,x,7,4*c*(a*e^2+3*c*d^2)*sqrt(g*x+f)/e^5-1/2*(a*e^2+c*d^2)^2*sqrt(g*x+f)/e^5/(e*x+d)^2-1/4*(a*e^2+c*d^2)*(a*e^2*g-c*d*(-17*d*g+16*e*f))*sqrt(g*x+f)/e^5/(-d*g+e*f)/(e*x+d)-2/3*c^2*(3*d*g+e*f)*(g*x+f)^(3/2)/e^4/g^2+2/5*c^2*(g*x+f)^(5/2)/e^3/g^2+1/4*(a^2*e^4*g^2-2*a*c*e^2*(15*d^2*g^2-24*d*e*f*g+8*e^2*f^2)-c^2*d^2*(63*d^2*g^2-112*d*e*f*g+48*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(11/2)/(-d*g+e*f)^(3/2),1],
[(e*x+d)^3*(g*x+f)^(3/2)*(c*x^2+a)^2,x,2,-2/5*(-d*g+e*f)^3*(a*g^2+c*f^2)^2*(g*x+f)^(5/2)/g^8+2/7*(-d*g+e*f)^2*(a*g^2+c*f^2)*(3*a*e*g^2+c*f*(-4*d*g+7*e*f))*(g*x+f)^(7/2)/g^8-2/9*(-d*g+e*f)*(3*a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-8*d*e*f*g+10*e^2*f^2)+3*c^2*f^2*(2*d^2*g^2-8*d*e*f*g+7*e^2*f^2))*(g*x+f)^(9/2)/g^8+2/11*(a^2*e^3*g^4+2*a*c*e*g^2*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2)+c^2*f*(-4*d^3*g^3+30*d^2*e*f*g^2-60*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(11/2)/g^8-2/13*c*(2*a*e^2*g^2*(-3*d*g+5*e*f)+c*(-d^3*g^3+15*d^2*e*f*g^2-45*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(13/2)/g^8+2/15*c*e*(2*a*e^2*g^2+3*c*(d^2*g^2-6*d*e*f*g+7*e^2*f^2))*(g*x+f)^(15/2)/g^8-2/17*c^2*e^2*(-3*d*g+7*e*f)*(g*x+f)^(17/2)/g^8+2/19*c^2*e^3*(g*x+f)^(19/2)/g^8,1],
[(e*x+d)^2*(g*x+f)^(3/2)*(c*x^2+a)^2,x,2,2/5*(-d*g+e*f)^2*(a*g^2+c*f^2)^2*(g*x+f)^(5/2)/g^7-4/7*(-d*g+e*f)*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-2*d*g+3*e*f))*(g*x+f)^(7/2)/g^7+2/9*(a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-6*d*e*f*g+6*e^2*f^2)+c^2*f^2*(6*d^2*g^2-20*d*e*f*g+15*e^2*f^2))*(g*x+f)^(9/2)/g^7-8/11*c*(a*e*g^2*(-d*g+2*e*f)+c*f*(d^2*g^2-5*d*e*f*g+5*e^2*f^2))*(g*x+f)^(11/2)/g^7+2/13*c*(2*a*e^2*g^2+c*(d^2*g^2-10*d*e*f*g+15*e^2*f^2))*(g*x+f)^(13/2)/g^7-4/15*c^2*e*(-d*g+3*e*f)*(g*x+f)^(15/2)/g^7+2/17*c^2*e^2*(g*x+f)^(17/2)/g^7,1],
[(e*x+d)*(g*x+f)^(3/2)*(c*x^2+a)^2,x,2,-2/5*(-d*g+e*f)*(a*g^2+c*f^2)^2*(g*x+f)^(5/2)/g^6+2/7*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-4*d*g+5*e*f))*(g*x+f)^(7/2)/g^6-4/9*c*(c*f^2*(-3*d*g+5*e*f)+a*g^2*(-d*g+3*e*f))*(g*x+f)^(9/2)/g^6+4/11*c*(a*e*g^2+c*f*(-2*d*g+5*e*f))*(g*x+f)^(11/2)/g^6-2/13*c^2*(-d*g+5*e*f)*(g*x+f)^(13/2)/g^6+2/15*c^2*e*(g*x+f)^(15/2)/g^6,1],
[(g*x+f)^(3/2)*(c*x^2+a)^2,x,2,2/5*(a*g^2+c*f^2)^2*(g*x+f)^(5/2)/g^5-8/7*c*f*(a*g^2+c*f^2)*(g*x+f)^(7/2)/g^5+4/9*c*(a*g^2+3*c*f^2)*(g*x+f)^(9/2)/g^5-8/11*c^2*f*(g*x+f)^(11/2)/g^5+2/13*c^2*(g*x+f)^(13/2)/g^5,1],
[(g*x+f)^(3/2)*(c*x^2+a)^2/(e*x+d),x,8,2*(a*e^2+c*d^2)^2*(-d*g+e*f)*sqrt(g*x+f)/e^6+2/3*(a*e^2+c*d^2)^2*(g*x+f)^(3/2)/e^5-2/5*c*(d*g+e*f)*(2*a*e^2*g^2+c*d^2*g^2+c*e^2*f^2)*(g*x+f)^(5/2)/e^4/g^4+2/7*c*(2*a*e^2*g^2+c*(d^2*g^2+2*d*e*f*g+3*e^2*f^2))*(g*x+f)^(7/2)/e^3/g^4-2/9*c^2*(d*g+3*e*f)*(g*x+f)^(9/2)/e^2/g^4+2/11*c^2*(g*x+f)^(11/2)/e/g^4-2*(a*e^2+c*d^2)^2*(-d*g+e*f)^(3/2)*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(13/2),1],
[(g*x+f)^(3/2)*(c*x^2+a)^2/(e*x+d)^2,x,8,(a*e^2+c*d^2)*(3*a*e^2*g-c*d*(-11*d*g+8*e*f))*sqrt(g*x+f)/e^6-8/3*c*d*(a*e^2+c*d^2)*(g*x+f)^(3/2)/e^5-(a*e^2+c*d^2)^2*(g*x+f)^(3/2)/e^5/(e*x+d)+2/5*c*(2*a*e^2*g^2+c*(3*d^2*g^2+2*d*e*f*g+e^2*f^2))*(g*x+f)^(5/2)/e^4/g^3-4/7*c^2*(d*g+e*f)*(g*x+f)^(7/2)/e^3/g^3+2/9*c^2*(g*x+f)^(9/2)/e^2/g^3-(a*e^2+c*d^2)*sqrt(-d*g+e*f)*(3*a*e^2*g-c*d*(-11*d*g+8*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(13/2),1],
[(g*x+f)^(3/2)*(c*x^2+a)^2/(e*x+d)^3,x,8,4*c*(c*d^2*(-5*d*g+3*e*f)+a*e^2*(-3*d*g+e*f))*sqrt(g*x+f)/e^6-1/4*(a*e^2+c*d^2)*(3*a*e^2*g-c*d*(-19*d*g+16*e*f))*sqrt(g*x+f)/e^6/(e*x+d)+4/3*c*(a*e^2+3*c*d^2)*(g*x+f)^(3/2)/e^5-1/2*(a*e^2+c*d^2)^2*(g*x+f)^(3/2)/e^5/(e*x+d)^2-2/5*c^2*(3*d*g+e*f)*(g*x+f)^(5/2)/e^4/g^2+2/7*c^2*(g*x+f)^(7/2)/e^3/g^2-1/4*(3*a^2*e^4*g^2+3*c^2*d^2*(33*d^2*g^2-48*d*e*f*g+16*e^2*f^2)+2*a*c*e^2*(35*d^2*g^2-40*d*e*f*g+8*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(13/2)/sqrt(-d*g+e*f),1],
[(e*x+d)^3*(c*x^2+a)^2/sqrt(g*x+f),x,2,-2*(-d*g+e*f)^3*(a*g^2+c*f^2)^2*sqrt(g*x+f)/g^8+2/3*(-d*g+e*f)^2*(a*g^2+c*f^2)*(3*a*e*g^2+c*f*(-4*d*g+7*e*f))*(g*x+f)^(3/2)/g^8-2/5*(-d*g+e*f)*(3*a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-8*d*e*f*g+10*e^2*f^2)+3*c^2*f^2*(2*d^2*g^2-8*d*e*f*g+7*e^2*f^2))*(g*x+f)^(5/2)/g^8+2/7*(a^2*e^3*g^4+2*a*c*e*g^2*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2)+c^2*f*(-4*d^3*g^3+30*d^2*e*f*g^2-60*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(7/2)/g^8-2/9*c*(2*a*e^2*g^2*(-3*d*g+5*e*f)+c*(-d^3*g^3+15*d^2*e*f*g^2-45*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(9/2)/g^8+2/11*c*e*(2*a*e^2*g^2+3*c*(d^2*g^2-6*d*e*f*g+7*e^2*f^2))*(g*x+f)^(11/2)/g^8-2/13*c^2*e^2*(-3*d*g+7*e*f)*(g*x+f)^(13/2)/g^8+2/15*c^2*e^3*(g*x+f)^(15/2)/g^8,1],
[(e*x+d)^2*(c*x^2+a)^2/sqrt(g*x+f),x,2,2*(-d*g+e*f)^2*(a*g^2+c*f^2)^2*sqrt(g*x+f)/g^7-4/3*(-d*g+e*f)*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-2*d*g+3*e*f))*(g*x+f)^(3/2)/g^7+2/5*(a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-6*d*e*f*g+6*e^2*f^2)+c^2*f^2*(6*d^2*g^2-20*d*e*f*g+15*e^2*f^2))*(g*x+f)^(5/2)/g^7-8/7*c*(a*e*g^2*(-d*g+2*e*f)+c*f*(d^2*g^2-5*d*e*f*g+5*e^2*f^2))*(g*x+f)^(7/2)/g^7+2/9*c*(2*a*e^2*g^2+c*(d^2*g^2-10*d*e*f*g+15*e^2*f^2))*(g*x+f)^(9/2)/g^7-4/11*c^2*e*(-d*g+3*e*f)*(g*x+f)^(11/2)/g^7+2/13*c^2*e^2*(g*x+f)^(13/2)/g^7,1],
[(e*x+d)*(c*x^2+a)^2/sqrt(g*x+f),x,2,-2*(-d*g+e*f)*(a*g^2+c*f^2)^2*sqrt(g*x+f)/g^6+2/3*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-4*d*g+5*e*f))*(g*x+f)^(3/2)/g^6-4/5*c*(c*f^2*(-3*d*g+5*e*f)+a*g^2*(-d*g+3*e*f))*(g*x+f)^(5/2)/g^6+4/7*c*(a*e*g^2+c*f*(-2*d*g+5*e*f))*(g*x+f)^(7/2)/g^6-2/9*c^2*(-d*g+5*e*f)*(g*x+f)^(9/2)/g^6+2/11*c^2*e*(g*x+f)^(11/2)/g^6,1],
[(c*x^2+a)^2/sqrt(g*x+f),x,2,2*(a*g^2+c*f^2)^2*sqrt(g*x+f)/g^5-8/3*c*f*(a*g^2+c*f^2)*(g*x+f)^(3/2)/g^5+4/5*c*(a*g^2+3*c*f^2)*(g*x+f)^(5/2)/g^5-8/7*c^2*f*(g*x+f)^(7/2)/g^5+2/9*c^2*(g*x+f)^(9/2)/g^5,1],
[(c*x^2+a)^2/(e*x+d)/sqrt(g*x+f),x,6,-2*c*(d*g+e*f)*(2*a*e^2*g^2+c*d^2*g^2+c*e^2*f^2)*sqrt(g*x+f)/e^4/g^4+2/3*c*(2*a*e^2*g^2+c*(d^2*g^2+2*d*e*f*g+3*e^2*f^2))*(g*x+f)^(3/2)/e^3/g^4-2/5*c^2*(d*g+3*e*f)*(g*x+f)^(5/2)/e^2/g^4+2/7*c^2*(g*x+f)^(7/2)/e/g^4-2*(a*e^2+c*d^2)^2*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(9/2)/sqrt(-d*g+e*f),1],
[(c*x^2+a)^2/(e*x+d)^2/sqrt(g*x+f),x,7,2*c*(2*a*e^2*g^2+c*(3*d^2*g^2+2*d*e*f*g+e^2*f^2))*sqrt(g*x+f)/e^4/g^3-(a*e^2+c*d^2)^2*sqrt(g*x+f)/e^4/(-d*g+e*f)/(e*x+d)-4/3*c^2*(d*g+e*f)*(g*x+f)^(3/2)/e^3/g^3+2/5*c^2*(g*x+f)^(5/2)/e^2/g^3+(a*e^2+c*d^2)*(a*e^2*g+c*d*(-7*d*g+8*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(9/2)/(-d*g+e*f)^(3/2),1],
[(c*x^2+a)^2/(e*x+d)^3/sqrt(g*x+f),x,7,-2*c^2*(3*d*g+e*f)*sqrt(g*x+f)/e^4/g^2-1/2*(a*e^2+c*d^2)^2*sqrt(g*x+f)/e^4/(-d*g+e*f)/(e*x+d)^2+1/4*(a*e^2+c*d^2)*(3*a*e^2*g+c*d*(-13*d*g+16*e*f))*sqrt(g*x+f)/e^4/(-d*g+e*f)^2/(e*x+d)+2/3*c^2*(g*x+f)^(3/2)/e^3/g^2-1/4*(3*a^2*e^4*g^2+2*a*c*e^2*(3*d^2*g^2-8*d*e*f*g+8*e^2*f^2)+c^2*d^2*(35*d^2*g^2-80*d*e*f*g+48*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(9/2)/(-d*g+e*f)^(5/2),1],
[(e*x+d)^3*(c*x^2+a)^2/(g*x+f)^(3/2),x,2,2*(-d*g+e*f)^3*(a*g^2+c*f^2)^2/g^8/sqrt(g*x+f)+2*(-d*g+e*f)^2*(a*g^2+c*f^2)*(3*a*e*g^2+c*f*(-4*d*g+7*e*f))*sqrt(g*x+f)/g^8-2/3*(-d*g+e*f)*(3*a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-8*d*e*f*g+10*e^2*f^2)+3*c^2*f^2*(2*d^2*g^2-8*d*e*f*g+7*e^2*f^2))*(g*x+f)^(3/2)/g^8+2/5*(a^2*e^3*g^4+2*a*c*e*g^2*(3*d^2*g^2-12*d*e*f*g+10*e^2*f^2)+c^2*f*(-4*d^3*g^3+30*d^2*e*f*g^2-60*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(5/2)/g^8-2/7*c*(2*a*e^2*g^2*(-3*d*g+5*e*f)+c*(-d^3*g^3+15*d^2*e*f*g^2-45*d*e^2*f^2*g+35*e^3*f^3))*(g*x+f)^(7/2)/g^8+2/9*c*e*(2*a*e^2*g^2+3*c*(d^2*g^2-6*d*e*f*g+7*e^2*f^2))*(g*x+f)^(9/2)/g^8-2/11*c^2*e^2*(-3*d*g+7*e*f)*(g*x+f)^(11/2)/g^8+2/13*c^2*e^3*(g*x+f)^(13/2)/g^8,1],
[(e*x+d)^2*(c*x^2+a)^2/(g*x+f)^(3/2),x,2,-2*(-d*g+e*f)^2*(a*g^2+c*f^2)^2/g^7/sqrt(g*x+f)-4*(-d*g+e*f)*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-2*d*g+3*e*f))*sqrt(g*x+f)/g^7+2/3*(a^2*e^2*g^4+2*a*c*g^2*(d^2*g^2-6*d*e*f*g+6*e^2*f^2)+c^2*f^2*(6*d^2*g^2-20*d*e*f*g+15*e^2*f^2))*(g*x+f)^(3/2)/g^7-8/5*c*(a*e*g^2*(-d*g+2*e*f)+c*f*(d^2*g^2-5*d*e*f*g+5*e^2*f^2))*(g*x+f)^(5/2)/g^7+2/7*c*(2*a*e^2*g^2+c*(d^2*g^2-10*d*e*f*g+15*e^2*f^2))*(g*x+f)^(7/2)/g^7-4/9*c^2*e*(-d*g+3*e*f)*(g*x+f)^(9/2)/g^7+2/11*c^2*e^2*(g*x+f)^(11/2)/g^7,1],
[(e*x+d)*(c*x^2+a)^2/(g*x+f)^(3/2),x,2,2*(-d*g+e*f)*(a*g^2+c*f^2)^2/g^6/sqrt(g*x+f)+2*(a*g^2+c*f^2)*(a*e*g^2+c*f*(-4*d*g+5*e*f))*sqrt(g*x+f)/g^6-4/3*c*(c*f^2*(-3*d*g+5*e*f)+a*g^2*(-d*g+3*e*f))*(g*x+f)^(3/2)/g^6+4/5*c*(a*e*g^2+c*f*(-2*d*g+5*e*f))*(g*x+f)^(5/2)/g^6-2/7*c^2*(-d*g+5*e*f)*(g*x+f)^(7/2)/g^6+2/9*c^2*e*(g*x+f)^(9/2)/g^6,1],
[(c*x^2+a)^2/(g*x+f)^(3/2),x,2,-2*(a*g^2+c*f^2)^2/g^5/sqrt(g*x+f)-8*c*f*(a*g^2+c*f^2)*sqrt(g*x+f)/g^5+4/3*c*(a*g^2+3*c*f^2)*(g*x+f)^(3/2)/g^5-8/5*c^2*f*(g*x+f)^(5/2)/g^5+2/7*c^2*(g*x+f)^(7/2)/g^5,1],
[(c*x^2+a)^2/(e*x+d)/(g*x+f)^(3/2),x,6,2*(a*g^2+c*f^2)^2/g^4/(-d*g+e*f)/sqrt(g*x+f)+2*c*(2*a*e^2*g^2+c*(d^2*g^2+2*d*e*f*g+3*e^2*f^2))*sqrt(g*x+f)/e^3/g^4-2/3*c^2*(d*g+3*e*f)*(g*x+f)^(3/2)/e^2/g^4+2/5*c^2*(g*x+f)^(5/2)/e/g^4-2*(a*e^2+c*d^2)^2*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(7/2)/(-d*g+e*f)^(3/2),1],
[(c*x^2+a)^2/(e*x+d)^2/(g*x+f)^(3/2),x,5,-2*(a*g^2+c*f^2)^2/g^3/(-d*g+e*f)^2/sqrt(g*x+f)-4*c^2*(d*g+e*f)*sqrt(g*x+f)/e^3/g^3-(a*e^2+c*d^2)^2*sqrt(g*x+f)/e^3/(-d*g+e*f)^2/(e*x+d)+2/3*c^2*(g*x+f)^(3/2)/e^2/g^3+(a*e^2+c*d^2)*(3*a*e^2*g+c*d*(-5*d*g+8*e*f))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(7/2)/(-d*g+e*f)^(5/2),1],
[(c*x^2+a)^2/(e*x+d)^3/(g*x+f)^(3/2),x,6,2*(a*g^2+c*f^2)^2/g^2/(-d*g+e*f)^3/sqrt(g*x+f)+2*c^2*sqrt(g*x+f)/e^3/g^2-1/2*(a*e^2+c*d^2)^2*sqrt(g*x+f)/e^3/(-d*g+e*f)^2/(e*x+d)^2+1/4*(a*e^2+c*d^2)*(7*a*e^2*g+c*d*(-9*d*g+16*e*f))*sqrt(g*x+f)/e^3/(-d*g+e*f)^3/(e*x+d)-1/4*(15*a^2*e^4*g^2+2*a*c*e^2*(-d^2*g^2+8*d*e*f*g+8*e^2*f^2)+3*c^2*d^2*(5*d^2*g^2-16*d*e*f*g+16*e^2*f^2))*arctanh(sqrt(e)*sqrt(g*x+f)/sqrt(-d*g+e*f))/e^(7/2)/(-d*g+e*f)^(7/2),1],
[sqrt(e*x+d)*(g*x+f)/(-c*x^2+a),x,6,-2*g*sqrt(e*x+d)/c-sqrt(sqrt(c)*d-sqrt(a)*e)*(sqrt(c)*f-sqrt(a)*g)*arctanh(c^(1/4)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(a)*e))/sqrt(a)/c^(5/4)+sqrt(sqrt(c)*d+sqrt(a)*e)*(sqrt(c)*f+sqrt(a)*g)*arctanh(c^(1/4)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(a)*e))/sqrt(a)/c^(5/4),1],
[(g*x+f)/sqrt(e*x+d)/(-c*x^2+a),x,4,-(sqrt(c)*f/sqrt(a)-g)*arctanh(c^(1/4)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(a)*e))/c^(3/4)/sqrt(sqrt(c)*d-sqrt(a)*e)+(sqrt(c)*f/sqrt(a)+g)*arctanh(c^(1/4)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(a)*e))/c^(3/4)/sqrt(sqrt(c)*d+sqrt(a)*e),1],
[sqrt(e*x+d)*(g*x+f)/(c*x^2+a),x,11,2*g*sqrt(e*x+d)/c+(sqrt(a*e^2+c*d^2)*g-sqrt(c)*(d*g+e*f))*arctan((sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2))-sqrt(2)*c^(1/4)*sqrt(e*x+d))/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2)))/sqrt(2)/c^(5/4)/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2))-(sqrt(a*e^2+c*d^2)*g-sqrt(c)*(d*g+e*f))*arctan((sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2))+sqrt(2)*c^(1/4)*sqrt(e*x+d))/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2)))/sqrt(2)/c^(5/4)/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2))-(sqrt(a*e^2+c*d^2)*g+sqrt(c)*(d*g+e*f))*arctanh(sqrt(2)*c^(1/4)*sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2))*sqrt(e*x+d)/(sqrt(a*e^2+c*d^2)+sqrt(c)*(e*x+d)))/sqrt(2)/c^(5/4)/sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2)),1],
[(g*x+f)/sqrt(e*x+d)/(c*x^2+a),x,9,-(g+sqrt(c)*(-d*g+e*f)/sqrt(a*e^2+c*d^2))*arctan((sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2))-sqrt(2)*c^(1/4)*sqrt(e*x+d))/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2)))/sqrt(2)/c^(3/4)/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2))+(g+sqrt(c)*(-d*g+e*f)/sqrt(a*e^2+c*d^2))*arctan((sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2))+sqrt(2)*c^(1/4)*sqrt(e*x+d))/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2)))/sqrt(2)/c^(3/4)/sqrt(-sqrt(c)*d+sqrt(a*e^2+c*d^2))-(g-sqrt(c)*(-d*g+e*f)/sqrt(a*e^2+c*d^2))*arctanh(sqrt(2)*c^(1/4)*sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2))*sqrt(e*x+d)/(sqrt(a*e^2+c*d^2)+sqrt(c)*(e*x+d)))/sqrt(2)/c^(3/4)/sqrt(sqrt(c)*d+sqrt(a*e^2+c*d^2)),1],
[(c*x^2+a)/sqrt(e*x+d)/sqrt(g*x+f),x,4,-1/4*c*(5*d*g+3*e*f)*sqrt(e*x+d)*sqrt(g*x+f)/e^2/g^2+1/2*c*(e*x+d)^(3/2)*sqrt(g*x+f)/e^2/g+1/4*(8*a*e^2*g^2+c*(3*d^2*g^2+2*d*e*f*g+3*e^2*f^2))*arctanh(sqrt(g)*sqrt(e*x+d)/sqrt(e)/sqrt(g*x+f))/e^(5/2)/g^(5/2),1],
[(2*x^2-1)/sqrt(-1+x)/sqrt(1+x),x,1,sqrt(-1+x)*x*sqrt(1+x),1],
[(e*x+d)^(3/2)*sqrt(g*x+f)/(c*x^2+a),x,9,e*sqrt(e*x+d)*sqrt(g*x+f)/c+sqrt(e)*(3*d*g+e*f)*arctanh(sqrt(g)*sqrt(e*x+d)/sqrt(e)/sqrt(g*x+f))/c/sqrt(g)+(sqrt(-a)*(a*e^2*g-c*d*(d*g+2*e*f))+sqrt(c)*(c*d^2*f-a*e*(2*d*g+e*f)))*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/c^(3/2)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(sqrt(c)*f-sqrt(-a)*g)+(sqrt(-a)*(a*e^2*g-c*d*(d*g+2*e*f))-sqrt(c)*(c*d^2*f-a*e*(2*d*g+e*f)))*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/c^(3/2)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[sqrt(e*x+d)*sqrt(g*x+f)/(c*x^2+a),x,8,2*sqrt(e)*sqrt(g)*arctanh(sqrt(g)*sqrt(e*x+d)/sqrt(e)/sqrt(g*x+f))/c+(c*d*f-a*e*g-sqrt(-a)*sqrt(c)*(d*g+e*f))*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/c/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(sqrt(c)*f-sqrt(-a)*g)-(c*d*f-a*e*g+sqrt(-a)*sqrt(c)*(d*g+e*f))*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/c/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[sqrt(g*x+f)/sqrt(e*x+d)/(c*x^2+a),x,5,sqrt(sqrt(c)*f-sqrt(-a)*g)*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(c)/sqrt(sqrt(c)*d-sqrt(-a)*e)-sqrt(sqrt(c)*f+sqrt(-a)*g)*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(c)/sqrt(sqrt(c)*d+sqrt(-a)*e),1],
[sqrt(g*x+f)/(e*x+d)^(3/2)/(c*x^2+a),x,6,-2*e*sqrt(g*x+f)/(a*e^2+c*d^2)/sqrt(e*x+d)+(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d-sqrt(-a)*e)/(a*e^2+c*d^2)/sqrt(sqrt(c)*f-sqrt(-a)*g)-(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d+sqrt(-a)*e)/(a*e^2+c*d^2)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[sqrt(g*x+f)/(e*x+d)^(5/2)/(c*x^2+a),x,7,-2/3*e*sqrt(g*x+f)/(a*e^2+c*d^2)/(e*x+d)^(3/2)-2/3*e*(a*e^2*g+c*d*(-5*d*g+6*e*f))*sqrt(g*x+f)/(a*e^2+c*d^2)^2/(-d*g+e*f)/sqrt(e*x+d)-sqrt(c)*(sqrt(-a)*c*d*f+sqrt(-a)*a*e*g-a*sqrt(c)*(-d*g+e*f))*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/a/(sqrt(c)*d-sqrt(-a)*e)^(3/2)/(a*e^2+c*d^2)/sqrt(sqrt(c)*f-sqrt(-a)*g)+sqrt(c)*(sqrt(-a)*c*d*f+sqrt(-a)*a*e*g+a*sqrt(c)*(-d*g+e*f))*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/a/(sqrt(c)*d+sqrt(-a)*e)^(3/2)/(a*e^2+c*d^2)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[(e*x+d)^(3/2)/sqrt(g*x+f)/(c*x^2+a),x,8,2*e^(3/2)*arctanh(sqrt(g)*sqrt(e*x+d)/sqrt(e)/sqrt(g*x+f))/c/sqrt(g)+(c*d^2-2*sqrt(-a)*sqrt(c)*d*e-a*e^2)*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/c/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(sqrt(c)*f-sqrt(-a)*g)-(c*d^2+2*sqrt(-a)*sqrt(c)*d*e-a*e^2)*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/c/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[sqrt(e*x+d)/sqrt(g*x+f)/(c*x^2+a),x,5,sqrt(sqrt(c)*d-sqrt(-a)*e)*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(c)/sqrt(sqrt(c)*f-sqrt(-a)*g)-sqrt(sqrt(c)*d+sqrt(-a)*e)*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(c)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[1/sqrt(e*x+d)/sqrt(g*x+f)/(c*x^2+a),x,5,arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(sqrt(c)*f-sqrt(-a)*g)-arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[1/(e*x+d)^(3/2)/sqrt(g*x+f)/(c*x^2+a),x,6,-2*e^2*sqrt(g*x+f)/(a*e^2+c*d^2)/(-d*g+e*f)/sqrt(e*x+d)+sqrt(c)*(sqrt(c)*d+sqrt(-a)*e)*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d-sqrt(-a)*e)/(a*e^2+c*d^2)/sqrt(sqrt(c)*f-sqrt(-a)*g)-sqrt(c)*(sqrt(c)*d-sqrt(-a)*e)*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d+sqrt(-a)*e)/(a*e^2+c*d^2)/sqrt(sqrt(c)*f+sqrt(-a)*g),1],
[(e*x+d)^(3/2)/(g*x+f)^(3/2)/(c*x^2+a),x,6,2*(-d*g+e*f)*sqrt(e*x+d)/(a*g^2+c*f^2)/sqrt(g*x+f)+(sqrt(c)*(c*d^2*f-a*e*(-2*d*g+e*f))-sqrt(-a)*(a*e^2*g+c*d*(-d*g+2*e*f)))*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(c)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(sqrt(c)*f-sqrt(-a)*g)/(a*g^2+c*f^2)-(sqrt(c)*(c*d^2*f-a*e*(-2*d*g+e*f))+sqrt(-a)*(a*e^2*g+c*d*(-d*g+2*e*f)))*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(c)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(sqrt(c)*f+sqrt(-a)*g)/(a*g^2+c*f^2),1],
[sqrt(e*x+d)/(g*x+f)^(3/2)/(c*x^2+a),x,6,-2*g*sqrt(e*x+d)/(a*g^2+c*f^2)/sqrt(g*x+f)+(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(sqrt(c)*f-sqrt(-a)*g)/(a*g^2+c*f^2)-(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(sqrt(c)*f+sqrt(-a)*g)/(a*g^2+c*f^2),1],
[1/sqrt(e*x+d)/(g*x+f)^(3/2)/(c*x^2+a),x,6,2*g^2*sqrt(e*x+d)/(-d*g+e*f)/(a*g^2+c*f^2)/sqrt(g*x+f)+sqrt(c)*(sqrt(c)*f+sqrt(-a)*g)*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(sqrt(c)*f-sqrt(-a)*g)/(a*g^2+c*f^2)-sqrt(c)*(sqrt(c)*f-sqrt(-a)*g)*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/sqrt(-a)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(sqrt(c)*f+sqrt(-a)*g)/(a*g^2+c*f^2),1],
[1/(e*x+d)^(3/2)/(g*x+f)^(3/2)/(c*x^2+a),x,7,-2*e^2/(a*e^2+c*d^2)/(-d*g+e*f)/sqrt(e*x+d)/sqrt(g*x+f)-2*g*(2*a*e^2*g^2+c*d^2*g^2+c*e^2*f^2)*sqrt(e*x+d)/(a*e^2+c*d^2)/(-d*g+e*f)^2/(a*g^2+c*f^2)/sqrt(g*x+f)-c*(sqrt(-a)*sqrt(c)*d-a*e)*arctanh(sqrt(sqrt(c)*f-sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d-sqrt(-a)*e)/sqrt(g*x+f))/a/sqrt(sqrt(c)*d-sqrt(-a)*e)/(a*e^2+c*d^2)/(sqrt(c)*f-sqrt(-a)*g)^(3/2)+c*(sqrt(-a)*sqrt(c)*d+a*e)*arctanh(sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(e*x+d)/sqrt(sqrt(c)*d+sqrt(-a)*e)/sqrt(g*x+f))/a/sqrt(sqrt(c)*d+sqrt(-a)*e)/(a*e^2+c*d^2)/(sqrt(c)*f+sqrt(-a)*g)^(3/2),1],
[(e*x+d)^3*sqrt(g*x+f)*sqrt(c*x^2+a),x,9,-4/3465*(7*f*g*(33*c*d^3*g+a*e^2*(-33*d*g+2*e*f))+e*(5*a*g^2+4*c*f^2)*(15*a*e^2*g^2-c*(99*d^2*g^2-66*d*e*f*g+16*e^2*f^2))/c/g)*sqrt(g*x+f)*sqrt(c*x^2+a)/c/g^3+2/1155*(g*x+f)^(3/2)*(a*e^2*g^2*(-231*d*g+74*e*f)-c*(-231*d^3*g^3+396*d^2*e*f*g^2-264*d*e^2*f^2*g+64*e^3*f^3)-5*e*g*(15*a*e^2*g^2-c*(99*d^2*g^2-66*d*e*f*g+16*e^2*f^2))*x)*sqrt(c*x^2+a)/c/g^4-2/99*e^2*(-33*d*g+17*e*f)*(g*x+f)^(3/2)*(c*x^2+a)^(3/2)/c/g^2+2/11*e^3*(g*x+f)^(5/2)*(c*x^2+a)^(3/2)/c/g^2+4/3465*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*a^2*e^2*g^4*(231*d*g+26*e*f)-c^2*f^2*(-231*d^3*g^3+396*d^2*e*f*g^2-264*d*e^2*f^2*g+64*e^3*f^3)-9*a*c*g^2*(77*d^3*g^3+88*d^2*e*f*g^2-33*d*e^2*f^2*g+6*e^3*f^3))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^6/sqrt(c*x^2+a)+4/3465*sqrt(sqrt(c)*f+sqrt(-a)*g)*(75*a^3*e^3*g^5+3*(-a)^(5/2)*sqrt(c)*e^2*g^4*(231*d*g+26*e*f)-9*a^2*c*e*g^3*(55*d^2*g^2+66*d*e*f*g+e^2*f^2)-a*c^2*f*g*(-924*d^3*g^3+99*d^2*e*f*g^2-66*d*e^2*f^2*g+16*e^3*f^3)-sqrt(-a)*c^(5/2)*f^2*(-231*d^3*g^3+396*d^2*e*f*g^2-264*d*e^2*f^2*g+64*e^3*f^3)+9*(-a)^(3/2)*c^(3/2)*g^2*(77*d^3*g^3+88*d^2*e*f*g^2-33*d*e^2*f^2*g+6*e^3*f^3))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(9/4)/g^5/sqrt(c*x^2+a),1],
[(e*x+d)^2*sqrt(g*x+f)*sqrt(c*x^2+a),x,8,-4/315*(7*(-a*e^2+3*c*d^2)*f*g^2+2*e*(-3*d*g+e*f)*(5*a*g^2+4*c*f^2))*sqrt(g*x+f)*sqrt(c*x^2+a)/c/g^3+2/105*(g*x+f)^(3/2)*(7*(-a*e^2+3*c*d^2)*g^2+8*c*e*f*(-3*d*g+e*f)-10*c*e*g*(-3*d*g+e*f)*x)*sqrt(c*x^2+a)/c/g^3+2/9*e^2*(g*x+f)^(3/2)*(c*x^2+a)^(3/2)/c/g-4/315*(sqrt(-a)-sqrt(c)*f/g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(21*a^2*e^2*g^4+3*a*c*g^2*(-21*d^2*g^2-16*d*e*f*g+3*e^2*f^2)+c^2*f^2*(21*d^2*g^2-24*d*e*f*g+8*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^4/sqrt(c*x^2+a)+4/315*sqrt(sqrt(c)*f+sqrt(-a)*g)*(21*(-a)^(5/2)*e^2*g^4-6*a^2*sqrt(c)*e*g^3*(5*d*g+3*e*f)-3*(-a)^(3/2)*c*g^2*(-21*d^2*g^2-16*d*e*f*g+3*e^2*f^2)+sqrt(-a)*c^2*f^2*(21*d^2*g^2-24*d*e*f*g+8*e^2*f^2)+2*a*c^(3/2)*f*g*(42*d^2*g^2-3*d*e*f*g+e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^4/sqrt(c*x^2+a),1],
[(e*x+d)*sqrt(g*x+f)*sqrt(c*x^2+a),x,7,4/105*(5*a*e/c+f*(-7*d*g+4*e*f)/g^2)*sqrt(g*x+f)*sqrt(c*x^2+a)-2/35*(g*x+f)^(3/2)*(-5*e*g*x-7*d*g+4*e*f)*sqrt(c*x^2+a)/g^2+4/105*(sqrt(-a)-sqrt(c)*f/g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(c*f^2*(-7*d*g+4*e*f)+a*g^2*(21*d*g+8*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^3/sqrt(c*x^2+a)-4/105*sqrt(sqrt(c)*f+sqrt(-a)*g)*(5*a^2*e*g^3+a*c*f*g*(-28*d*g+e*f)+sqrt(-a)*c^(3/2)*f^2*(-7*d*g+4*e*f)+sqrt(-a)*a*sqrt(c)*g^2*(21*d*g+8*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(5/4)/g^3/sqrt(c*x^2+a),1],
[sqrt(g*x+f)*sqrt(c*x^2+a),x,7,-4/15*f*sqrt(g*x+f)*sqrt(c*x^2+a)/g+2/5*(g*x+f)^(3/2)*sqrt(c*x^2+a)/g+4/15*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(-3*a*g^2+c*f^2)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^3/sqrt(c*x^2+a)+4/15*sqrt(sqrt(c)*f+sqrt(-a)*g)*(sqrt(-a)*c*f^2+4*a*sqrt(c)*f*g+3*(-a)^(3/2)*g^2)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^2/sqrt(c*x^2+a),1],
[sqrt(g*x+f)*sqrt(c*x^2+a)/(e*x+d),x,9,2/3*sqrt(g*x+f)*sqrt(c*x^2+a)/e-2/3*c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(-3*d*g+e*f)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^2/g^2/sqrt(c*x^2+a)+2/3*sqrt(sqrt(c)*f+sqrt(-a)*g)*(2*a*e^2*g-sqrt(-a)*sqrt(c)*e*(-3*d*g+e*f)-3*c*d*(-d*g+e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^3/g/sqrt(c*x^2+a)-2*(a*e^2+c*d^2)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^3/sqrt(c*x^2+a),1],
[sqrt(g*x+f)*sqrt(c*x^2+a)/(e*x+d)^2,x,9,-sqrt(g*x+f)*sqrt(c*x^2+a)/e/(e*x+d)+3*c^(1/4)*(sqrt(-a)-sqrt(c)*f/g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^2/sqrt(c*x^2+a)-c^(1/4)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*sqrt(-a)*e*g-sqrt(c)*(-3*d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^3/g/sqrt(c*x^2+a)-sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g-c*d*(-3*d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^3/(-d*g+e*f)/sqrt(c*x^2+a),1],
[sqrt(g*x+f)*sqrt(c*x^2+a)/(e*x+d)^3,x,10,-1/2*sqrt(g*x+f)*sqrt(c*x^2+a)/e/(e*x+d)^2-1/4*(a*e^2*g-c*d*(-3*d*g+2*e*f))*sqrt(g*x+f)*sqrt(c*x^2+a)/e/(a*e^2+c*d^2)/(-d*g+e*f)/(e*x+d)-1/4*c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g-c*d*(-3*d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^2/(a*e^2+c*d^2)/g/(-d*g+e*f)/sqrt(c*x^2+a)+1/4*c^(1/4)*sqrt(sqrt(c)*f+sqrt(-a)*g)*((-a)^(3/2)*e^3*g+a*sqrt(c)*e^2*(-5*d*g+6*e*f)+sqrt(-a)*c*d*e*(-3*d*g+2*e*f)+c^(3/2)*d^2*(-3*d*g+4*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^3/(a*e^2+c*d^2)/(-d*g+e*f)/sqrt(c*x^2+a)+1/4*sqrt(sqrt(c)*f+sqrt(-a)*g)*(a^2*e^4*g^2+c^2*d^3*g*(-3*d*g+4*e*f)-2*a*c*e^2*(3*d^2*g^2-6*d*e*f*g+2*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^3/(a*e^2+c*d^2)/(-d*g+e*f)^2/sqrt(c*x^2+a),1],
[(e*x+d)^3*sqrt(c*x^2+a)/sqrt(g*x+f),x,8,2/315*sqrt(g*x+f)*(9*a*e^2*g^2*(-5*d*g+2*e*f)-c*(-105*d^3*g^3+252*d^2*e*f*g^2-216*d*e^2*f^2*g+64*e^3*f^3)-3*e*g*(7*a*e^2*g^2-c*(63*d^2*g^2-54*d*e*f*g+16*e^2*f^2))*x)*sqrt(c*x^2+a)/c/g^4-2/21*e^2*(-9*d*g+5*e*f)*sqrt(g*x+f)*(c*x^2+a)^(3/2)/c/g^2+2/9*e^3*(g*x+f)^(3/2)*(c*x^2+a)^(3/2)/c/g^2-4/315*(sqrt(-a)-sqrt(c)*f/g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(5*c*f*g^2*(21*c*d^3*g-a*e^2*(9*d*g+2*e*f))+e*(3*a*g^2+4*c*f^2)*(7*a*e^2*g^2-c*(63*d^2*g^2-54*d*e*f*g+16*e^2*f^2)))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^5/sqrt(c*x^2+a)+4/315*sqrt(sqrt(c)*f+sqrt(-a)*g)*(21*(-a)^(5/2)*e^3*g^4-3*a^2*sqrt(c)*e^2*g^3*(15*d*g+e*f)-3*sqrt(-a)*a*c*e*g^2*(63*d^2*g^2-39*d*e*f*g+10*e^2*f^2)-a*c^(3/2)*g*(-105*d^3*g^3+63*d^2*e*f*g^2-54*d*e^2*f^2*g+16*e^3*f^3)-sqrt(-a)*c^2*f*(-105*d^3*g^3+252*d^2*e*f*g^2-216*d*e^2*f^2*g+64*e^3*f^3))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^5/sqrt(c*x^2+a),1],
[(e*x+d)^2*sqrt(c*x^2+a)/sqrt(g*x+f),x,7,2/105*sqrt(g*x+f)*(5*(-a*e^2+7*c*d^2)*g^2+8*c*e*f*(-7*d*g+3*e*f)-6*c*e*g*(-7*d*g+3*e*f)*x)*sqrt(c*x^2+a)/c/g^3+2/7*e^2*sqrt(g*x+f)*(c*x^2+a)^(3/2)/c/g-4/105*(sqrt(-a)-sqrt(c)*f/g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(5*(-a*e^2+7*c*d^2)*f*g^2+2*e*(-7*d*g+3*e*f)*(3*a*g^2+4*c*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^4/sqrt(c*x^2+a)-4/105*sqrt(sqrt(c)*f+sqrt(-a)*g)*(5*a^2*e^2*g^3-sqrt(-a)*a*sqrt(c)*e*g^2*(-42*d*g+13*e*f)-sqrt(-a)*c^(3/2)*f*(35*d^2*g^2-56*d*e*f*g+24*e^2*f^2)-a*c*g*(35*d^2*g^2-14*d*e*f*g+6*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(5/4)/g^4/sqrt(c*x^2+a),1],
[(e*x+d)*sqrt(c*x^2+a)/sqrt(g*x+f),x,6,-2/15*sqrt(g*x+f)*(-3*e*g*x-5*d*g+4*e*f)*sqrt(c*x^2+a)/g^2-4/15*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*a*e*g^2+c*f*(-5*d*g+4*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^4/sqrt(c*x^2+a)-4/15*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*sqrt(-a)*a*e*g^2+a*sqrt(c)*g*(-5*d*g+e*f)+sqrt(-a)*c*f*(-5*d*g+4*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^3/sqrt(c*x^2+a),1],
[sqrt(c*x^2+a)/sqrt(g*x+f),x,6,2/3*sqrt(g*x+f)*sqrt(c*x^2+a)/g+4/3*c^(1/4)*f*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/g^3/sqrt(c*x^2+a)+4/3*sqrt(-a)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/g^2/sqrt(c*x^2+a),1],
[sqrt(c*x^2+a)/(e*x+d)/sqrt(g*x+f),x,8,-2*c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e/g^2/sqrt(c*x^2+a)-2*c^(1/4)*(sqrt(c)*d+sqrt(-a)*e)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^2/g/sqrt(c*x^2+a)-2*(a*e^2+c*d^2)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^2/(-d*g+e*f)/sqrt(c*x^2+a),1],
[sqrt(c*x^2+a)/(e*x+d)^2/sqrt(g*x+f),x,9,-sqrt(g*x+f)*sqrt(c*x^2+a)/(-d*g+e*f)/(e*x+d)+c^(1/4)*(sqrt(-a)-sqrt(c)*f/g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e/(-d*g+e*f)/sqrt(c*x^2+a)-c^(1/4)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(sqrt(-a)*e*g-sqrt(c)*(-d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^2/g/(-d*g+e*f)/sqrt(c*x^2+a)+sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g+c*d*(-d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^2/(-d*g+e*f)^2/sqrt(c*x^2+a),1],
[sqrt(c*x^2+a)/(e*x+d)^3/sqrt(g*x+f),x,10,-1/2*sqrt(g*x+f)*sqrt(c*x^2+a)/(-d*g+e*f)/(e*x+d)^2+1/4*(3*a*e^2*g+c*d*(d*g+2*e*f))*sqrt(g*x+f)*sqrt(c*x^2+a)/(a*e^2+c*d^2)/(-d*g+e*f)^2/(e*x+d)-1/4*c^(1/4)*(3*a*e^2+c*d*(d+2*e*f/g))*(sqrt(-a)-sqrt(c)*f/g)*g*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e/(a*e^2+c*d^2)/(-d*g+e*f)^2/sqrt(c*x^2+a)-1/4*c^(1/4)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*(-a)^(3/2)*e^3*g+c^(3/2)*d^2*(-d*g+4*e*f)-sqrt(-a)*c*d*e*(d*g+2*e*f)+a*sqrt(c)*e^2*(d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e^2/(a*e^2+c*d^2)/(-d*g+e*f)^2/sqrt(c*x^2+a)-1/4*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*a^2*e^4*g^2+c^2*d^3*g*(-d*g+4*e*f)+2*a*c*e^2*(3*d^2*g^2-2*d*e*f*g+2*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^2/(a*e^2+c*d^2)/(-d*g+e*f)^3/sqrt(c*x^2+a),1],
[(e*x+d)^3*sqrt(g*x+f)/sqrt(c*x^2+a),x,8,-2/105*e*(25*a*e^2*g^2-c*(105*d^2*g^2-42*d*e*f*g+8*e^2*f^2))*sqrt(g*x+f)*sqrt(c*x^2+a)/c^2/g^2-6/35*e^2*(-7*d*g+3*e*f)*(g*x+f)^(3/2)*sqrt(c*x^2+a)/c/g^2+2/7*e^3*(g*x+f)^(5/2)*sqrt(c*x^2+a)/c/g^2+2/105*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g^2*(189*d*g+19*e*f)-c*(105*d^3*g^3+105*d^2*e*f*g^2-42*d*e^2*f^2*g+8*e^3*f^3))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^4/sqrt(c*x^2+a)+2/105*sqrt(sqrt(c)*f+sqrt(-a)*g)*(105*c^2*d^3*f*g^2+25*a^2*e^3*g^3+sqrt(-a)*a*sqrt(c)*e^2*g^2*(189*d*g+19*e*f)-a*c*e*g*(105*d^2*g^2+147*d*e*f*g+2*e^2*f^2)-sqrt(-a)*c^(3/2)*(105*d^3*g^3+105*d^2*e*f*g^2-42*d*e^2*f^2*g+8*e^3*f^3))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(9/4)/g^3/sqrt(c*x^2+a),1],
[(e*x+d)^2*sqrt(g*x+f)/sqrt(c*x^2+a),x,7,-4/15*e*(-5*d*g+e*f)*sqrt(g*x+f)*sqrt(c*x^2+a)/c/g+2/5*e^2*(g*x+f)^(3/2)*sqrt(c*x^2+a)/c/g+2/15*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(9*a*e^2*g^2+c*(-15*d^2*g^2-10*d*e*f*g+2*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^3/sqrt(c*x^2+a)+2/15*sqrt(sqrt(c)*f+sqrt(-a)*g)*(15*c^(3/2)*d^2*f*g+9*sqrt(-a)*a*e^2*g^2-a*sqrt(c)*e*g*(10*d*g+7*e*f)+sqrt(-a)*c*(-15*d^2*g^2-10*d*e*f*g+2*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^2/sqrt(c*x^2+a),1],
[(e*x+d)*sqrt(g*x+f)/sqrt(c*x^2+a),x,6,2/3*e*sqrt(g*x+f)*sqrt(c*x^2+a)/c-2/3*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*d*g+e*f)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^2/sqrt(c*x^2+a)+2/3*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*c*d*f-a*e*g-sqrt(-a)*sqrt(c)*(3*d*g+e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(5/4)/g/sqrt(c*x^2+a),1],
[sqrt(g*x+f)/sqrt(c*x^2+a),x,5,-2*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g/sqrt(c*x^2+a)+2*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g/sqrt(c*x^2+a),1],
[sqrt(g*x+f)/(e*x+d)/sqrt(c*x^2+a),x,6,2*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e/sqrt(c*x^2+a)-2*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e/sqrt(c*x^2+a),1],
[sqrt(g*x+f)/(e*x+d)^2/sqrt(c*x^2+a),x,9,-e*sqrt(g*x+f)*sqrt(c*x^2+a)/(a*e^2+c*d^2)/(e*x+d)-c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(a*e^2+c*d^2)/g/sqrt(c*x^2+a)+c^(1/4)*(sqrt(c)*d-sqrt(-a)*e)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e/(a*e^2+c*d^2)/sqrt(c*x^2+a)-sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g+c*d*(-d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e/(a*e^2+c*d^2)/(-d*g+e*f)/sqrt(c*x^2+a),1],
[sqrt(g*x+f)/(e*x+d)^3/sqrt(c*x^2+a),x,10,-1/2*e*sqrt(g*x+f)*sqrt(c*x^2+a)/(a*e^2+c*d^2)/(e*x+d)^2-1/4*e*(a*e^2*g+c*d*(-5*d*g+6*e*f))*sqrt(g*x+f)*sqrt(c*x^2+a)/(a*e^2+c*d^2)^2/(-d*g+e*f)/(e*x+d)-1/4*c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g+c*d*(-5*d*g+6*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(a*e^2+c*d^2)^2/g/(-d*g+e*f)/sqrt(c*x^2+a)+1/4*c^(1/4)*sqrt(sqrt(c)*f+sqrt(-a)*g)*((-a)^(3/2)*e^3*g-sqrt(-a)*c*d*e*(-5*d*g+6*e*f)-a*sqrt(c)*e^2*(-3*d*g+2*e*f)+c^(3/2)*d^2*(-3*d*g+4*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/e/(a*e^2+c*d^2)^2/(-d*g+e*f)/sqrt(c*x^2+a)+1/4*sqrt(sqrt(c)*f+sqrt(-a)*g)*(a^2*e^4*g^2-c^2*d^2*(3*d^2*g^2-12*d*e*f*g+8*e^2*f^2)+2*a*c*e^2*(5*d^2*g^2-6*d*e*f*g+2*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e/(a*e^2+c*d^2)^2/(-d*g+e*f)^2/sqrt(c*x^2+a),1],
[(g*x+f)^(3/2)/(e*x+d)/sqrt(c*x^2+a),x,10,2*g^2*sqrt(g*x+f)*sqrt(c*x^2+a)/sqrt(c)/e/(sqrt(a*g^2+c*f^2)+sqrt(c)*(g*x+f))-2*(a*g^2+c*f^2)^(3/4)*sqrt(g^2*(c*x^2+a)/(a*g^2+c*f^2)/(1+sqrt(c)*(g*x+f)/sqrt(a*g^2+c*f^2))^2)*(1+sqrt(c)*(g*x+f)/sqrt(a*g^2+c*f^2))*EllipticE(sin(2*arctan(c^(1/4)*sqrt(g*x+f)/(a*g^2+c*f^2)^(1/4))),sqrt(1/2+1/2*sqrt(c)*f/sqrt(a*g^2+c*f^2)))/c^(3/4)/e/sqrt(c*x^2+a)+2*sqrt(sqrt(c)*f+sqrt(-a)*g)*(c*e*f^2+a*e*g^2+sqrt(c)*(-d*g+e*f)*sqrt(a*g^2+c*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/e^2/sqrt(a*g^2+c*f^2)/sqrt(c*x^2+a)-2*sqrt(sqrt(c)*f+sqrt(-a)*g)*(-d*g+e*f)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^2/sqrt(c*x^2+a),1],
[(g*x+f)^(5/2)/(e*x+d)/sqrt(c*x^2+a),x,9,2/3*g^2*sqrt(g*x+f)*sqrt(c*x^2+a)/c/e-2/3*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(-3*d*g+7*e*f)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/e^2/sqrt(c*x^2+a)-2/3*sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g^2+sqrt(-a)*sqrt(c)*e*g*(-3*d*g+7*e*f)-3*c*(d^2*g^2-3*d*e*f*g+3*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(5/4)/e^3/sqrt(c*x^2+a)-2*sqrt(sqrt(c)*f+sqrt(-a)*g)*(-d*g+e*f)^2*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/e^3/sqrt(c*x^2+a),1],
[(e*x+d)^3/sqrt(g*x+f)/sqrt(c*x^2+a),x,7,-2/15*e^2*(-15*d*g+7*e*f)*sqrt(g*x+f)*sqrt(c*x^2+a)/c/g^2+2/5*e^3*(g*x+f)^(3/2)*sqrt(c*x^2+a)/c/g^2+2/15*e*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(9*a*e^2*g^2-c*(45*d^2*g^2-30*d*e*f*g+8*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^4/sqrt(c*x^2+a)+2/15*sqrt(sqrt(c)*f+sqrt(-a)*g)*(15*c^(3/2)*d^3*g^2+9*sqrt(-a)*a*e^3*g^2-a*sqrt(c)*e^2*g*(15*d*g+2*e*f)-sqrt(-a)*c*e*(45*d^2*g^2-30*d*e*f*g+8*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(7/4)/g^3/sqrt(c*x^2+a),1],
[(e*x+d)^2/sqrt(g*x+f)/sqrt(c*x^2+a),x,6,2/3*e^2*sqrt(g*x+f)*sqrt(c*x^2+a)/c/g+4/3*e*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(-3*d*g+e*f)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^3/sqrt(c*x^2+a)+2/3*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*c*d^2*g-a*e^2*g+2*sqrt(-a)*sqrt(c)*e*(-3*d*g+e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(5/4)/g^2/sqrt(c*x^2+a),1],
[(e*x+d)/sqrt(g*x+f)/sqrt(c*x^2+a),x,5,-2*e*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g^2/sqrt(c*x^2+a)+2*(sqrt(c)*d-sqrt(-a)*e)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(3/4)/g/sqrt(c*x^2+a),1],
[1/sqrt(g*x+f)/sqrt(c*x^2+a),x,3,2*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/g/sqrt(c*x^2+a),1],
[1/(e*x+d)/sqrt(g*x+f)/sqrt(c*x^2+a),x,10,-2*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/(-d*g+e*f)/sqrt(c*x^2+a),1],
[1/(e*x+d)^2/sqrt(g*x+f)/sqrt(c*x^2+a),x,9,-e^2*sqrt(g*x+f)*sqrt(c*x^2+a)/(a*e^2+c*d^2)/(-d*g+e*f)/(e*x+d)+c^(1/4)*e*(sqrt(-a)-sqrt(c)*f/g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(a*e^2+c*d^2)/(-d*g+e*f)/sqrt(c*x^2+a)+c^(1/4)*(sqrt(c)*d-sqrt(-a)*e)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(a*e^2+c*d^2)/(-d*g+e*f)/sqrt(c*x^2+a)+sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g-c*d*(-3*d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/(a*e^2+c*d^2)/(-d*g+e*f)^2/sqrt(c*x^2+a),1],
[1/(e*x+d)^3/sqrt(g*x+f)/sqrt(c*x^2+a),x,10,-1/2*e^2*sqrt(g*x+f)*sqrt(c*x^2+a)/(a*e^2+c*d^2)/(-d*g+e*f)/(e*x+d)^2+3/4*e^2*(a*e^2*g-c*d*(-3*d*g+2*e*f))*sqrt(g*x+f)*sqrt(c*x^2+a)/(a*e^2+c*d^2)^2/(-d*g+e*f)^2/(e*x+d)+3/4*c^(1/4)*e*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(a*e^2*g-c*d*(-3*d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(a*e^2+c*d^2)^2/g/(-d*g+e*f)^2/sqrt(c*x^2+a)+1/4*c^(1/4)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*sqrt(-a)*a*e^3*g+c^(3/2)*d^2*(-7*d*g+4*e*f)-3*sqrt(-a)*c*d*e*(-3*d*g+2*e*f)-a*sqrt(c)*e^2*(d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(a*e^2+c*d^2)^2/(-d*g+e*f)^2/sqrt(c*x^2+a)-1/4*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*a^2*e^4*g^2-2*a*c*e^2*(-3*d^2*g^2-2*d*e*f*g+2*e^2*f^2)+c^2*d^2*(15*d^2*g^2-20*d*e*f*g+8*e^2*f^2))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/(a*e^2+c*d^2)^2/(-d*g+e*f)^3/sqrt(c*x^2+a),1],
[1/(e*x+d)/sqrt(g*x+f)/sqrt(c*x^2+1),x,10,-2*sqrt(c*f+sqrt(-c)*g)*sqrt(1-c*(g*x+f)/(c*f-sqrt(-c)*g))*sqrt(1-c*(g*x+f)/(c*f+sqrt(-c)*g))*EllipticPi(sin(arcsin(sqrt(c)*sqrt(g*x+f)/sqrt(c*f+sqrt(-c)*g))),e*(c*f+sqrt(-c)*g)/c/(-d*g+e*f),sqrt((c*f+sqrt(-c)*g)/(c*f-sqrt(-c)*g)))/sqrt(c)/(-d*g+e*f)/sqrt(c*x^2+1),1],
[1/(e*x+d)/(g*x+f)^(3/2)/sqrt(c*x^2+a),x,10,2*g^2*sqrt(c*x^2+a)/(-d*g+e*f)/(a*g^2+c*f^2)/sqrt(g*x+f)+2*c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(-d*g+e*f)/(a*g^2+c*f^2)/sqrt(c*x^2+a)-2*c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(-d*g+e*f)/(a*g^2+c*f^2)/sqrt(c*x^2+a)-2*e*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/(-d*g+e*f)^2/sqrt(c*x^2+a),1],
[1/(e*x+d)/(g*x+f)^(5/2)/sqrt(c*x^2+a),x,10,2/3*g^2*sqrt(c*x^2+a)/(-d*g+e*f)/(a*g^2+c*f^2)/(g*x+f)^(3/2)+2/3*g^2*(3*a*e*g^2+c*f*(-4*d*g+7*e*f))*sqrt(c*x^2+a)/(-d*g+e*f)^2/(a*g^2+c*f^2)^2/sqrt(g*x+f)+2/3*c^(1/4)*(sqrt(c)*f-sqrt(-a)*g)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*a*e*g^2+c*f*(-4*d*g+7*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticE(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(-d*g+e*f)^2/(a*g^2+c*f^2)^2/sqrt(c*x^2+a)-2/3*c^(1/4)*sqrt(sqrt(c)*f+sqrt(-a)*g)*(3*(-a)^(3/2)*e*g^3-sqrt(-a)*c*f*g*(-4*d*g+7*e*f)+3*c^(3/2)*f^2*(-d*g+2*e*f)+a*sqrt(c)*g^2*(d*g+2*e*f))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*InverseJacobiAM(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g)),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/(-d*g+e*f)^2/(a*g^2+c*f^2)^2/sqrt(c*x^2+a)-2*e^2*sqrt(sqrt(c)*f+sqrt(-a)*g)*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f-sqrt(-a)*g))*sqrt(1-sqrt(c)*(g*x+f)/(sqrt(c)*f+sqrt(-a)*g))*EllipticPi(sin(arcsin(c^(1/4)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(-a)*g))),e*(f+sqrt(-a)*g/sqrt(c))/(-d*g+e*f),sqrt((sqrt(c)*f+sqrt(-a)*g)/(sqrt(c)*f-sqrt(-a)*g)))/c^(1/4)/(-d*g+e*f)^3/sqrt(c*x^2+a),1],
[1/sqrt(2+3*x)/sqrt(4+5*x)/sqrt(x^2+1),x,2,-1/533*(2+3*x)*sqrt((x^2+1)/(2+3*x)^2)*(41+sqrt(533)*(4+5*x)/(2+3*x))*sqrt((41-46*(4+5*x)/(2+3*x)+13*(4+5*x)^2/(2+3*x)^2)/(41+sqrt(533)*(4+5*x)/(2+3*x))^2)*InverseJacobiAM(2*arctan(1/41*13^(1/4)*41^(3/4)*sqrt(4+5*x)/sqrt(2+3*x)),sqrt(1/2+23/1066*sqrt(533)))*533^(3/4)/sqrt(x^2+1)/sqrt(41-46*(4+5*x)/(2+3*x)+13*(4+5*x)^2/(2+3*x)^2),1],
[1/sqrt(2+3*x)/sqrt(4+5*x)/(x^2+1)^(3/2),x,8,1/533*(22-7*x)*sqrt(2+3*x)*sqrt(4+5*x)/sqrt(x^2+1)+7*(123+5*sqrt(533))*sqrt(2+3*x)*sqrt(4+5*x)*sqrt(x^2+1)/(43706+2132*sqrt(533)+533*(123+5*sqrt(533))*x)+7/533*(2+3*x)*sqrt((x^2+1)/(2+3*x)^2)*(41+sqrt(533)*(4+5*x)/(2+3*x))*sqrt((41-46*(4+5*x)/(2+3*x)+13*(4+5*x)^2/(2+3*x)^2)/(41+sqrt(533)*(4+5*x)/(2+3*x))^2)*EllipticE(sin(2*arctan(1/41*13^(1/4)*41^(3/4)*sqrt(4+5*x)/sqrt(2+3*x))),sqrt(1/2+23/1066*sqrt(533)))*533^(1/4)/sqrt(x^2+1)/sqrt(41-46*(4+5*x)/(2+3*x)+13*(4+5*x)^2/(2+3*x)^2)-1/21853*(1763+79*sqrt(533))*(82+4*sqrt(533)+(123+5*sqrt(533))*x)*sqrt((x^2+1)/(82+4*sqrt(533)+(123+5*sqrt(533))*x)^2)*InverseJacobiAM(2*arctan(1/41*13^(1/4)*41^(3/4)*sqrt(4+5*x)/sqrt(2+3*x)),sqrt(1/2+23/2/sqrt(533)))*533^(3/4)/(65+3*sqrt(533))/sqrt(x^2+1),1],
[sqrt(4+5*x)/sqrt(2+3*x)/sqrt(x^2+1),x,5,sqrt(5/3)*(4+5*x)*sqrt((x^2+1)/(4+5*x)^2)*arctanh(2*sqrt(2+3*x)/sqrt(15)/sqrt(4+5*x)/sqrt(13+41*(2+3*x)^2/(4+5*x)^2-46*(2+3*x)/(4+5*x)))/sqrt(x^2+1)+2/13*41^(3/4)*(4+5*x)*sqrt((x^2+1)/(4+5*x)^2)*sqrt((13+41*(2+3*x)^2/(4+5*x)^2-46*(2+3*x)/(4+5*x))/(13+sqrt(533)*(2+3*x)/(4+5*x))^2)*(13+sqrt(533)*(2+3*x)/(4+5*x))*InverseJacobiAM(2*arctan(1/13*41^(1/4)*13^(3/4)*sqrt(2+3*x)/sqrt(4+5*x)),sqrt(1/2+23/1066*sqrt(533)))*13^(3/4)/(123+5*sqrt(533))/sqrt(x^2+1)/sqrt(13+41*(2+3*x)^2/(4+5*x)^2-46*(2+3*x)/(4+5*x))+1/39*41^(1/4)*(65-3*sqrt(533))*(4+5*x)*sqrt((x^2+1)/(4+5*x)^2)*sqrt((13+41*(2+3*x)^2/(4+5*x)^2-46*(2+3*x)/(4+5*x))/(13+sqrt(533)*(2+3*x)/(4+5*x))^2)*(13+sqrt(533)*(2+3*x)/(4+5*x))*EllipticPi(sin(2*arctan(1/13*41^(1/4)*13^(3/4)*sqrt(2+3*x)/sqrt(4+5*x))),1/2+347/15990*sqrt(533),sqrt(1/2+23/1066*sqrt(533)))*13^(1/4)/(123+5*sqrt(533))/sqrt(x^2+1)/sqrt(13+41*(2+3*x)^2/(4+5*x)^2-46*(2+3*x)/(4+5*x)),1],
[1/sqrt(e*x+d)/sqrt(g*x+f)/sqrt(c*x^2+a),x,3,-2*sqrt(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))*(e*x+d)*sqrt((-d*g+e*f)^2*(c*x^2+a)/(a*g^2+c*f^2)/(e*x+d)^2)*sqrt(1-(a*e^2+c*d^2)*(g*x+f)/(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))/(e*x+d))*sqrt(1-(a*e^2+c*d^2)*(g*x+f)/(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/(e*x+d))*InverseJacobiAM(arcsin(sqrt(a*e^2+c*d^2)*sqrt(g*x+f)/sqrt(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/sqrt(e*x+d)),sqrt((c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))))/sqrt(a*e^2+c*d^2)/(-d*g+e*f)/sqrt(c*x^2+a)/sqrt(1-2*(a*e*g+c*d*f)*(g*x+f)/(a*g^2+c*f^2)/(e*x+d)+(a*e^2+c*d^2)*(g*x+f)^2/(a*g^2+c*f^2)/(e*x+d)^2),1],
[1/sqrt(-1+x)/sqrt(1+x)/sqrt(2*x^2-1),x,3,-sqrt(-x^2+1)*InverseJacobiAM(arccos(x),sqrt(2))/sqrt(-1+x)/sqrt(1+x),1],
[sqrt(g*x+f)/(e*x+d)^(3/2)/sqrt(-c*x^2+a),x,4,2*sqrt(sqrt(c)*f+sqrt(a)*g)*(sqrt(a)+sqrt(c)*x)*sqrt(-(-d*g+e*f)*(sqrt(a)-sqrt(c)*x)/(sqrt(c)*f+sqrt(a)*g)/(e*x+d))*EllipticE(sin(arcsin(sqrt(sqrt(c)*d+sqrt(a)*e)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(a)*g)/sqrt(e*x+d))),sqrt((sqrt(c)*d-sqrt(a)*e)*(sqrt(c)*f+sqrt(a)*g)/(sqrt(c)*d+sqrt(a)*e)/(sqrt(c)*f-sqrt(a)*g)))/(sqrt(c)*d-sqrt(a)*e)/sqrt(sqrt(c)*d+sqrt(a)*e)/sqrt((-d*g+e*f)*(sqrt(a)+sqrt(c)*x)/(sqrt(c)*f-sqrt(a)*g)/(e*x+d))/sqrt(-c*x^2+a)-2*sqrt(sqrt(c)*f+sqrt(a)*g)*(sqrt(a)+sqrt(c)*x)*sqrt(-(-d*g+e*f)*(sqrt(a)-sqrt(c)*x)/(sqrt(c)*f+sqrt(a)*g)/(e*x+d))*InverseJacobiAM(arcsin(sqrt(sqrt(c)*d+sqrt(a)*e)*sqrt(g*x+f)/sqrt(sqrt(c)*f+sqrt(a)*g)/sqrt(e*x+d)),sqrt((sqrt(c)*d-sqrt(a)*e)*(sqrt(c)*f+sqrt(a)*g)/(sqrt(c)*d+sqrt(a)*e)/(sqrt(c)*f-sqrt(a)*g)))/(sqrt(c)*d-sqrt(a)*e)/sqrt(sqrt(c)*d+sqrt(a)*e)/sqrt((-d*g+e*f)*(sqrt(a)+sqrt(c)*x)/(sqrt(c)*f-sqrt(a)*g)/(e*x+d))/sqrt(-c*x^2+a),1],
[sqrt(g*x+f)/(e*x+d)^(3/2)/sqrt(c*x^2+a),x,5,2*(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))*sqrt(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))*(e*x+d)*sqrt((-d*g+e*f)^2*(c*x^2+a)/(a*g^2+c*f^2)/(e*x+d)^2)*sqrt(1-(a*e^2+c*d^2)*(g*x+f)/(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))/(e*x+d))*sqrt(1-(a*e^2+c*d^2)*(g*x+f)/(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/(e*x+d))*EllipticE(sin(arcsin(sqrt(a*e^2+c*d^2)*sqrt(g*x+f)/sqrt(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/sqrt(e*x+d))),sqrt((c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))))/(a*e^2+c*d^2)^(3/2)/(-d*g+e*f)/sqrt(c*x^2+a)/sqrt(1-2*(a*e*g+c*d*f)*(g*x+f)/(a*g^2+c*f^2)/(e*x+d)+(a*e^2+c*d^2)*(g*x+f)^2/(a*g^2+c*f^2)/(e*x+d)^2)-2*(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))*sqrt(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))*(e*x+d)*sqrt((-d*g+e*f)^2*(c*x^2+a)/(a*g^2+c*f^2)/(e*x+d)^2)*sqrt(1-(a*e^2+c*d^2)*(g*x+f)/(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))/(e*x+d))*sqrt(1-(a*e^2+c*d^2)*(g*x+f)/(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/(e*x+d))*InverseJacobiAM(arcsin(sqrt(a*e^2+c*d^2)*sqrt(g*x+f)/sqrt(c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/sqrt(e*x+d)),sqrt((c*d*f+a*e*g+sqrt(-a)*sqrt(c)*(-d*g+e*f))/(c*d*f+a*e*g-sqrt(-a)*sqrt(c)*(-d*g+e*f))))/(a*e^2+c*d^2)^(3/2)/(-d*g+e*f)/sqrt(c*x^2+a)/sqrt(1-2*(a*e*g+c*d*f)*(g*x+f)/(a*g^2+c*f^2)/(e*x+d)+(a*e^2+c*d^2)*(g*x+f)^2/(a*g^2+c*f^2)/(e*x+d)^2),1],
[(e*x+d)^m*(g*x+f)^2*(c*x^2+a),x,2,(a*e^2+c*d^2)*(-d*g+e*f)^2*(e*x+d)^(1+m)/e^5/(1+m)+2*(-d*g+e*f)*(a*e^2*g-c*d*(-2*d*g+e*f))*(e*x+d)^(2+m)/e^5/(2+m)+(a*e^2*g^2+c*(6*d^2*g^2-6*d*e*f*g+e^2*f^2))*(e*x+d)^(3+m)/e^5/(3+m)+2*c*g*(-2*d*g+e*f)*(e*x+d)^(4+m)/e^5/(4+m)+c*g^2*(e*x+d)^(5+m)/e^5/(5+m),1],
[(e*x+d)^m*(g*x+f)*(c*x^2+a),x,2,(a*e^2+c*d^2)*(-d*g+e*f)*(e*x+d)^(1+m)/e^4/(1+m)+(a*e^2*g-c*d*(-3*d*g+2*e*f))*(e*x+d)^(2+m)/e^4/(2+m)+c*(-3*d*g+e*f)*(e*x+d)^(3+m)/e^4/(3+m)+c*g*(e*x+d)^(4+m)/e^4/(4+m),1],
[(e*x+d)^m*(c*x^2+a)/(g*x+f),x,3,-c*(d*g+e*f)*(e*x+d)^(1+m)/e^2/g^2/(1+m)+c*(e*x+d)^(2+m)/e^2/g/(2+m)+(a*g^2+c*f^2)*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],-g*(e*x+d)/(-d*g+e*f))/g^2/(-d*g+e*f)/(1+m),1],
[(e*x+d)^m*(c*x^2+a)/(g*x+f)^2,x,3,c*(e*x+d)^(1+m)/e/g^2/(1+m)-2*c*f*(e*x+d)^(1+m)/e/g^2/m/(g*x+f)+(a*e*g^2*m-c*f*(2*d*g-e*f*(2+m)))*(e*x+d)^(1+m)*hypergeom([2, 1+m],[2+m],-g*(e*x+d)/(-d*g+e*f))/g^2/(-d*g+e*f)^2/m/(1+m),1],
[(e*x+d)^m*(c*x^2+a)/(g*x+f)^3,x,3,1/2*(a*g^2+c*f^2)*(e*x+d)^(1+m)/g^2/(-d*g+e*f)/(g*x+f)^2+c*(e*x+d)^(1+m)/e/g^2/m/(g*x+f)+1/2*(a*e^2*g^2*(1-m)*m-c*(2*d^2*g^2-4*d*e*f*g*(1+m)+e^2*f^2*(m^2+3*m+2)))*(e*x+d)^(1+m)*hypergeom([2, 1+m],[2+m],-g*(e*x+d)/(-d*g+e*f))/g^2/(-d*g+e*f)^3/m/(1+m),1],
[(e*x+d)^(-2+m)*(c*x^2+a)/(g*x+f)^3,x,3,1/2*(a*g^2+c*f^2)*(e*x+d)^(-1+m)/g^2/(-d*g+e*f)/(g*x+f)^2-c*(e*x+d)^(-1+m)/e/g^2/(2-m)/(g*x+f)-1/2*(c*(2*d^2*g^2+4*d*e*f*g*(1-m)-e^2*f^2*(1-m)*m)+a*e^2*g^2*(m^2-5*m+6))*(e*x+d)^(-1+m)*hypergeom([2, -1+m],[m],-g*(e*x+d)/(-d*g+e*f))/g^2/(-d*g+e*f)^3/(1-m)/(2-m),1],
[(e*x+d)^m*(g*x+f)^2*(c*x^2+a)^2,x,2,(a*e^2+c*d^2)^2*(-d*g+e*f)^2*(e*x+d)^(1+m)/e^7/(1+m)+2*(a*e^2+c*d^2)*(-d*g+e*f)*(a*e^2*g-c*d*(-3*d*g+2*e*f))*(e*x+d)^(2+m)/e^7/(2+m)+(a^2*e^4*g^2+2*a*c*e^2*(6*d^2*g^2-6*d*e*f*g+e^2*f^2)+c^2*d^2*(15*d^2*g^2-20*d*e*f*g+6*e^2*f^2))*(e*x+d)^(3+m)/e^7/(3+m)+4*c*(a*e^2*g*(-2*d*g+e*f)-c*d*(5*d^2*g^2-5*d*e*f*g+e^2*f^2))*(e*x+d)^(4+m)/e^7/(4+m)+c*(2*a*e^2*g^2+c*(15*d^2*g^2-10*d*e*f*g+e^2*f^2))*(e*x+d)^(5+m)/e^7/(5+m)+2*c^2*g*(-3*d*g+e*f)*(e*x+d)^(6+m)/e^7/(6+m)+c^2*g^2*(e*x+d)^(7+m)/e^7/(7+m),1],
[(e*x+d)^m*(g*x+f)*(c*x^2+a)^2,x,2,(a*e^2+c*d^2)^2*(-d*g+e*f)*(e*x+d)^(1+m)/e^6/(1+m)+(a*e^2+c*d^2)*(a*e^2*g-c*d*(-5*d*g+4*e*f))*(e*x+d)^(2+m)/e^6/(2+m)+2*c*(c*d^2*(-5*d*g+3*e*f)+a*e^2*(-3*d*g+e*f))*(e*x+d)^(3+m)/e^6/(3+m)+2*c*(a*e^2*g-c*d*(-5*d*g+2*e*f))*(e*x+d)^(4+m)/e^6/(4+m)+c^2*(-5*d*g+e*f)*(e*x+d)^(5+m)/e^6/(5+m)+c^2*g*(e*x+d)^(6+m)/e^6/(6+m),1],
[(e*x+d)^m*(c*x^2+a)^2/(g*x+f),x,5,-c*(d*g+e*f)*(2*a*e^2*g^2+c*d^2*g^2+c*e^2*f^2)*(e*x+d)^(1+m)/e^4/g^4/(1+m)+c*(2*a*e^2*g^2+c*(3*d^2*g^2+2*d*e*f*g+e^2*f^2))*(e*x+d)^(2+m)/e^4/g^3/(2+m)-c^2*(3*d*g+e*f)*(e*x+d)^(3+m)/e^4/g^2/(3+m)+c^2*(e*x+d)^(4+m)/e^4/g/(4+m)+(a*g^2+c*f^2)^2*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],-g*(e*x+d)/(-d*g+e*f))/g^4/(-d*g+e*f)/(1+m),1],
[(e*x+d)^m*(c*x^2+a)^2/(g*x+f)^2,x,6,c*(2*a*e^2*g^2+c*(d^2*g^2+2*d*e*f*g+3*e^2*f^2))*(e*x+d)^(1+m)/e^3/g^4/(1+m)-2*c^2*(d*g+e*f)*(e*x+d)^(2+m)/e^3/g^3/(2+m)+c^2*(e*x+d)^(3+m)/e^3/g^2/(3+m)-4*c*f*(a*g^2+c*f^2)*(e*x+d)^(1+m)/e/g^4/m/(g*x+f)+(a*g^2+c*f^2)*(a*e*g^2*m-c*f*(4*d*g-e*f*(4+m)))*(e*x+d)^(1+m)*hypergeom([2, 1+m],[2+m],-g*(e*x+d)/(-d*g+e*f))/g^4/(-d*g+e*f)^2/m/(1+m),1],
[(e*x+d)^m*(c*x^2+a)^2/(g*x+f)^3,x,6,-c^2*(d*g+3*e*f)*(e*x+d)^(1+m)/e^2/g^4/(1+m)+c^2*(e*x+d)^(2+m)/e^2/g^3/(2+m)+1/2*(a*g^2+c*f^2)^2*(e*x+d)^(1+m)/g^4/(-d*g+e*f)/(g*x+f)^2+2*c*(a*g^2+3*c*f^2)*(e*x+d)^(1+m)/e/g^4/m/(g*x+f)+1/2*(a^2*e^2*g^4*(1-m)*m-2*a*c*g^2*(2*d^2*g^2-4*d*e*f*g*(1+m)+e^2*f^2*(m^2+3*m+2))-c^2*f^2*(12*d^2*g^2-8*d*e*f*g*(3+m)+e^2*f^2*(m^2+7*m+12)))*(e*x+d)^(1+m)*hypergeom([2, 1+m],[2+m],-g*(e*x+d)/(-d*g+e*f))/g^4/(-d*g+e*f)^3/m/(1+m),1],
[(e*x+d)^m*(c*x^2+a)/(f*x+e)^(3/2),x,3,2*(a*f^2+c*e^2)*(e*x+d)^(1+m)/f^2/(-d*f+e^2)/sqrt(f*x+e)+2*c*(e*x+d)^(1+m)*sqrt(f*x+e)/e/f^2/(3+2*m)+2*(a*e^2*f^2*(4*m^2+8*m+3)-c*(d^2*f^2+4*d*e^2*f*(1+m)-4*e^4*(m^2+3*m+2)))*(e*x+d)^(1+m)*sqrt(f*x+e)*hypergeom([1, 3/2+m],[3/2],e*(f*x+e)/(-d*f+e^2))/e/f^2/(-d*f+e^2)^2/(3+2*m),1],
[(e*x+d)^m*(g*x+f)^2*sqrt(c*x^2+a),x,6,g^2*(e*x+d)^(1+m)*(c*x^2+a)^(3/2)/c/e/(4+m)+(c*d*g*(3*d*g-2*e*f*(4+m))-e^2*(a*g^2*(1+m)-c*f^2*(4+m)))*(e*x+d)^(1+m)*sqrt(c*x^2+a)*AppellF1(1+m,-1/2,-1/2,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/c/e^3/(1+m)/(4+m)/sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))/sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))-g*(3*d*g-2*e*f*(4+m))*(e*x+d)^(2+m)*sqrt(c*x^2+a)*AppellF1(2+m,-1/2,-1/2,3+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^3/(2+m)/(4+m)/sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))/sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c))),1],
[(e*x+d)^m*(g*x+f)*sqrt(c*x^2+a),x,5,(-d*g+e*f)*(e*x+d)^(1+m)*sqrt(c*x^2+a)*AppellF1(1+m,-1/2,-1/2,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^2/(1+m)/sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))/sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))+g*(e*x+d)^(2+m)*sqrt(c*x^2+a)*AppellF1(2+m,-1/2,-1/2,3+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^2/(2+m)/sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))/sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c))),1],
[(e*x+d)^m*sqrt(c*x^2+a),x,2,(e*x+d)^(1+m)*sqrt(c*x^2+a)*AppellF1(1+m,-1/2,-1/2,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e/(1+m)/sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))/sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c))),1],
[(e*x+d)^m*sqrt(c*x^2+a)/(g*x+f),x,0,Defer(Int)((e*x+d)^m*sqrt(c*x^2+a)/(g*x+f),x),0],
[(e*x+d)^m*(g*x+f)^2/sqrt(c*x^2+a),x,6,g^2*(e*x+d)^(1+m)*sqrt(c*x^2+a)/c/e/(2+m)+(c*d*g*(d*g-2*e*f*(2+m))-e^2*(a*g^2*(1+m)-c*f^2*(2+m)))*(e*x+d)^(1+m)*sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))*sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))*AppellF1(1+m,1/2,1/2,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/c/e^3/(1+m)/(2+m)/sqrt(c*x^2+a)-g*(d*g-2*e*f*(2+m))*(e*x+d)^(2+m)*sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))*sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))*AppellF1(2+m,1/2,1/2,3+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^3/(2+m)^2/sqrt(c*x^2+a),1],
[(e*x+d)^m*(g*x+f)/sqrt(c*x^2+a),x,5,(-d*g+e*f)*(e*x+d)^(1+m)*sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))*sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))*AppellF1(1+m,1/2,1/2,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^2/(1+m)/sqrt(c*x^2+a)+g*(e*x+d)^(2+m)*sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))*sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))*AppellF1(2+m,1/2,1/2,3+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^2/(2+m)/sqrt(c*x^2+a),1],
[(e*x+d)^m/sqrt(c*x^2+a),x,2,(e*x+d)^(1+m)*sqrt(1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))*sqrt(1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))*AppellF1(1+m,1/2,1/2,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e/(1+m)/sqrt(c*x^2+a),1],
[(e*x+d)^m/(g*x+f)/sqrt(c*x^2+a),x,0,Defer(Int)((e*x+d)^m/(g*x+f)/sqrt(c*x^2+a),x),0],
[(-c*f*x+f)^(3/2)/((c*d*x+d)^q)/sqrt(-c^2*x^2+1),x,4,4*f*(c*d*x+d)^(1-q)*sqrt(-c*f*x+f)/c/d/(1-2*q)/sqrt(-c^2*x^2+1)-2*f*(c*d*x+d)^(2-q)*sqrt(-c*f*x+f)/c/d^2/(3-2*q)/sqrt(-c^2*x^2+1),1],
[(e*x+d)^(3/2)/(-e*x+d)^(4/3)/sqrt(-e^2*x^2+d^2),x,3,12/5*d*sqrt(e*x+d)/e/(-e*x+d)^(1/3)/sqrt(-e^2*x^2+d^2)+6*(-e*x+d)^(2/3)*sqrt(e*x+d)/e/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^m*(g*x+f)^n*(c*x^2+a),x,3,-c*(e*f*(2+m)+d*g*(4+m+2*n))*(e*x+d)^(1+m)*(g*x+f)^(1+n)/e^2/g^2/(2+m+n)/(3+m+n)+c*(e*x+d)^(2+m)*(g*x+f)^(1+n)/e^2/g/(3+m+n)+(c*(e*f*(1+m)+d*g*(1+n))*(e*f*(2+m)+d*g*(4+m+2*n))+g*(2+m+n)*(a*e^2*g*(3+m+n)-c*d*(e*f*(2+m)+d*g*(1+n))))*(e*x+d)^(1+m)*(g*x+f)^(1+n)*hypergeom([1, 2+m+n],[2+m],-g*(e*x+d)/(-d*g+e*f))/e^2/g^2/(-d*g+e*f)/(1+m)/(2+m+n)/(3+m+n),1],
[(e*x+d)^m*(g*x+f)^2*(c*x^2+a)^p,x,6,g^2*(e*x+d)^(1+m)*(c*x^2+a)^(p+1)/c/e/(3+m+2*p)+(2*c*d*g*(d*g*(p+1)-e*f*(3+m+2*p))-e^2*(a*g^2*(1+m)-c*f^2*(3+m+2*p)))*(e*x+d)^(1+m)*(c*x^2+a)^p*AppellF1(1+m,-p,-p,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/c/e^3/(1+m)/(3+m+2*p)/((1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))^p)/((1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))^p)-2*g*(d*g*(p+1)-e*f*(3+m+2*p))*(e*x+d)^(2+m)*(c*x^2+a)^p*AppellF1(2+m,-p,-p,3+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^3/(2+m)/(3+m+2*p)/((1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))^p)/((1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))^p),1],
[(e*x+d)^m*(g*x+f)*(c*x^2+a)^p,x,5,(-d*g+e*f)*(e*x+d)^(1+m)*(c*x^2+a)^p*AppellF1(1+m,-p,-p,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^2/(1+m)/((1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))^p)/((1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))^p)+g*(e*x+d)^(2+m)*(c*x^2+a)^p*AppellF1(2+m,-p,-p,3+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e^2/(2+m)/((1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))^p)/((1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))^p),1],
[(e*x+d)^m*(c*x^2+a)^p,x,2,(e*x+d)^(1+m)*(c*x^2+a)^p*AppellF1(1+m,-p,-p,2+m,(e*x+d)/(d-sqrt(-a)*e/sqrt(c)),(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))/e/(1+m)/((1-(e*x+d)/(d-sqrt(-a)*e/sqrt(c)))^p)/((1-(e*x+d)/(d+sqrt(-a)*e/sqrt(c)))^p),1],
[(e*x+d)^m*(c*x^2+a)^p/(g*x+f),x,0,Defer(Int)((e*x+d)^m*(c*x^2+a)^p/(g*x+f),x),0],
[(d*x+c)^(-4-2*p)*(f*x+e)^3*(b*x^2+a)^p,x,8,-3*f^2*(-c*f+d*e)*(d*x+c)^(-3-2*p)*(b*x^2+a)^(p+1)/b/d^2+(-c*f+d*e)*(3*a*d^2*f^2*(3+2*p)-b*(d^2*e^2-2*c*d*e*f-2*c^2*f^2*(4+3*p)))*(d*x+c)^(-3-2*p)*(b*x^2+a)^(p+1)/b/d^2/(a*d^2+b*c^2)/(3+2*p)-1/2*(-c*f+d*e)^2*(3*a*d^2*f*(3+2*p)+b*c*(2*d*e*(2+p)+c*f*(5+4*p)))*(b*x^2+a)^(p+1)/d^2/(a*d^2+b*c^2)^2/(p+1)/(3+2*p)/((d*x+c)^(2*p+2))-1/2*f^3*(b*x^2+a)^p*AppellF1(-2*p,-p,-p,1-2*p,(d*x+c)/(c-sqrt(-a)*d/sqrt(b)),(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))/d^4/p/((d*x+c)^(2*p))/((1-(d*x+c)/(c-sqrt(-a)*d/sqrt(b)))^p)/((1-(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))^p)-(-c*f+d*e)*(3*a^2*d^4*f^2*(3+2*p)+b^2*c^2*(c^2*f^2+c*d*e*f+d^2*e^2)*(3+2*p)-a*b*d^2*(d^2*e^2-2*c^2*f^2*(4+3*p)-c*d*e*f*(11+6*p)))*(sqrt(-a)-sqrt(b)*x)*(d*x+c)^(-1-2*p)*(b*x^2+a)^p*hypergeom([-1-2*p, -p],[-2*p],2*sqrt(-a)*sqrt(b)*(d*x+c)/(sqrt(b)*c-sqrt(-a)*d)/(sqrt(-a)-sqrt(b)*x))/d^3/(sqrt(b)*c+sqrt(-a)*d)/(a*d^2+b*c^2)^2/(1+2*p)/(3+2*p)/((-(sqrt(b)*c+sqrt(-a)*d)*(sqrt(-a)+sqrt(b)*x)/(sqrt(b)*c-sqrt(-a)*d)/(sqrt(-a)-sqrt(b)*x))^p),1],
[(d*x+c)^(-3-2*p)*(f*x+e)^2*(b*x^2+a)^p,x,6,-1/2*(-c*f+d*e)^2*(b*x^2+a)^(p+1)/d/(a*d^2+b*c^2)/(p+1)/((d*x+c)^(2*p+2))-1/2*f^2*(b*x^2+a)^p*AppellF1(-2*p,-p,-p,1-2*p,(d*x+c)/(c-sqrt(-a)*d/sqrt(b)),(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))/d^3/p/((d*x+c)^(2*p))/((1-(d*x+c)/(c-sqrt(-a)*d/sqrt(b)))^p)/((1-(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))^p)-(-c*f+d*e)*(2*a*d^2*f+b*c*(c*f+d*e))*(sqrt(-a)-sqrt(b)*x)*(d*x+c)^(-1-2*p)*(b*x^2+a)^p*hypergeom([-1-2*p, -p],[-2*p],2*sqrt(-a)*sqrt(b)*(d*x+c)/(sqrt(b)*c-sqrt(-a)*d)/(sqrt(-a)-sqrt(b)*x))/d^2/(sqrt(b)*c+sqrt(-a)*d)/(a*d^2+b*c^2)/(1+2*p)/((-(sqrt(b)*c+sqrt(-a)*d)*(sqrt(-a)+sqrt(b)*x)/(sqrt(b)*c-sqrt(-a)*d)/(sqrt(-a)-sqrt(b)*x))^p),1],
[(d*x+c)^(-2-2*p)*(f*x+e)*(b*x^2+a)^p,x,4,-1/2*f*(b*x^2+a)^p*AppellF1(-2*p,-p,-p,1-2*p,(d*x+c)/(c-sqrt(-a)*d/sqrt(b)),(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))/d^2/p/((d*x+c)^(2*p))/((1-(d*x+c)/(c-sqrt(-a)*d/sqrt(b)))^p)/((1-(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))^p)-(-c*f+d*e)*(sqrt(-a)-sqrt(b)*x)*(d*x+c)^(-1-2*p)*(b*x^2+a)^p*hypergeom([-1-2*p, -p],[-2*p],2*sqrt(-a)*sqrt(b)*(d*x+c)/(sqrt(b)*c-sqrt(-a)*d)/(sqrt(-a)-sqrt(b)*x))/d/(sqrt(b)*c+sqrt(-a)*d)/(1+2*p)/((-(sqrt(b)*c+sqrt(-a)*d)*(sqrt(-a)+sqrt(b)*x)/(sqrt(b)*c-sqrt(-a)*d)/(sqrt(-a)-sqrt(b)*x))^p),1],
[(d*x+c)^(-1-2*p)*(b*x^2+a)^p,x,2,-1/2*(b*x^2+a)^p*AppellF1(-2*p,-p,-p,1-2*p,(d*x+c)/(c-sqrt(-a)*d/sqrt(b)),(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))/d/p/((d*x+c)^(2*p))/((1-(d*x+c)/(c-sqrt(-a)*d/sqrt(b)))^p)/((1-(d*x+c)/(c+sqrt(-a)*d/sqrt(b)))^p),1],
[(b*x^2+a)^p/((d*x+c)^(2*p))/(f*x+e),x,0,Defer(Int)((b*x^2+a)^p/((d*x+c)^(2*p))/(f*x+e),x),0],
[(d*x+c)^(1-2*p)*(b*x^2+a)^p/(f*x+e)^2,x,0,Defer(Int)((d*x+c)^(1-2*p)*(b*x^2+a)^p/(f*x+e)^2,x),0]]: