1,1,40,0,0.849555," ","integrate((e*x+d)*(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{6} x^{6} e c + \frac{1}{5} x^{5} d c + \frac{1}{4} x^{4} e b + \frac{1}{3} x^{3} d b + \frac{1}{2} x^{2} e a + x d a"," ",0,"1/6*x^6*e*c + 1/5*x^5*d*c + 1/4*x^4*e*b + 1/3*x^3*d*b + 1/2*x^2*e*a + x*d*a","A",0
2,1,61,0,0.703071," ","integrate((f*x^2+e*x+d)*(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{7} x^{7} f c + \frac{1}{6} x^{6} e c + \frac{1}{5} x^{5} d c + \frac{1}{5} x^{5} f b + \frac{1}{4} x^{4} e b + \frac{1}{3} x^{3} d b + \frac{1}{3} x^{3} f a + \frac{1}{2} x^{2} e a + x d a"," ",0,"1/7*x^7*f*c + 1/6*x^6*e*c + 1/5*x^5*d*c + 1/5*x^5*f*b + 1/4*x^4*e*b + 1/3*x^3*d*b + 1/3*x^3*f*a + 1/2*x^2*e*a + x*d*a","A",0
3,1,82,0,0.556177," ","integrate((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{8} x^{8} g c + \frac{1}{7} x^{7} f c + \frac{1}{6} x^{6} e c + \frac{1}{6} x^{6} g b + \frac{1}{5} x^{5} d c + \frac{1}{5} x^{5} f b + \frac{1}{4} x^{4} e b + \frac{1}{4} x^{4} g a + \frac{1}{3} x^{3} d b + \frac{1}{3} x^{3} f a + \frac{1}{2} x^{2} e a + x d a"," ",0,"1/8*x^8*g*c + 1/7*x^7*f*c + 1/6*x^6*e*c + 1/6*x^6*g*b + 1/5*x^5*d*c + 1/5*x^5*f*b + 1/4*x^4*e*b + 1/4*x^4*g*a + 1/3*x^3*d*b + 1/3*x^3*f*a + 1/2*x^2*e*a + x*d*a","A",0
4,1,103,0,0.864831," ","integrate((c*x^4+b*x^2+a)*(h*x^4+g*x^3+f*x^2+e*x+d),x, algorithm=""fricas"")","\frac{1}{9} x^{9} h c + \frac{1}{8} x^{8} g c + \frac{1}{7} x^{7} f c + \frac{1}{7} x^{7} h b + \frac{1}{6} x^{6} e c + \frac{1}{6} x^{6} g b + \frac{1}{5} x^{5} d c + \frac{1}{5} x^{5} f b + \frac{1}{5} x^{5} h a + \frac{1}{4} x^{4} e b + \frac{1}{4} x^{4} g a + \frac{1}{3} x^{3} d b + \frac{1}{3} x^{3} f a + \frac{1}{2} x^{2} e a + x d a"," ",0,"1/9*x^9*h*c + 1/8*x^8*g*c + 1/7*x^7*f*c + 1/7*x^7*h*b + 1/6*x^6*e*c + 1/6*x^6*g*b + 1/5*x^5*d*c + 1/5*x^5*f*b + 1/5*x^5*h*a + 1/4*x^4*e*b + 1/4*x^4*g*a + 1/3*x^3*d*b + 1/3*x^3*f*a + 1/2*x^2*e*a + x*d*a","A",0
5,1,124,0,0.844722," ","integrate((c*x^4+b*x^2+a)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d),x, algorithm=""fricas"")","\frac{1}{10} x^{10} i c + \frac{1}{9} x^{9} h c + \frac{1}{8} x^{8} g c + \frac{1}{8} x^{8} i b + \frac{1}{7} x^{7} f c + \frac{1}{7} x^{7} h b + \frac{1}{6} x^{6} e c + \frac{1}{6} x^{6} g b + \frac{1}{6} x^{6} i a + \frac{1}{5} x^{5} d c + \frac{1}{5} x^{5} f b + \frac{1}{5} x^{5} h a + \frac{1}{4} x^{4} e b + \frac{1}{4} x^{4} g a + \frac{1}{3} x^{3} d b + \frac{1}{3} x^{3} f a + \frac{1}{2} x^{2} e a + x d a"," ",0,"1/10*x^10*i*c + 1/9*x^9*h*c + 1/8*x^8*g*c + 1/8*x^8*i*b + 1/7*x^7*f*c + 1/7*x^7*h*b + 1/6*x^6*e*c + 1/6*x^6*g*b + 1/6*x^6*i*a + 1/5*x^5*d*c + 1/5*x^5*f*b + 1/5*x^5*h*a + 1/4*x^4*e*b + 1/4*x^4*g*a + 1/3*x^3*d*b + 1/3*x^3*f*a + 1/2*x^2*e*a + x*d*a","A",0
6,1,100,0,0.827873," ","integrate((e*x+d)*(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{10} x^{10} e c^{2} + \frac{1}{9} x^{9} d c^{2} + \frac{1}{4} x^{8} e c b + \frac{2}{7} x^{7} d c b + \frac{1}{6} x^{6} e b^{2} + \frac{1}{3} x^{6} e c a + \frac{1}{5} x^{5} d b^{2} + \frac{2}{5} x^{5} d c a + \frac{1}{2} x^{4} e b a + \frac{2}{3} x^{3} d b a + \frac{1}{2} x^{2} e a^{2} + x d a^{2}"," ",0,"1/10*x^10*e*c^2 + 1/9*x^9*d*c^2 + 1/4*x^8*e*c*b + 2/7*x^7*d*c*b + 1/6*x^6*e*b^2 + 1/3*x^6*e*c*a + 1/5*x^5*d*b^2 + 2/5*x^5*d*c*a + 1/2*x^4*e*b*a + 2/3*x^3*d*b*a + 1/2*x^2*e*a^2 + x*d*a^2","A",0
7,1,151,0,0.746892," ","integrate((f*x^2+e*x+d)*(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} f c^{2} + \frac{1}{10} x^{10} e c^{2} + \frac{1}{9} x^{9} d c^{2} + \frac{2}{9} x^{9} f c b + \frac{1}{4} x^{8} e c b + \frac{2}{7} x^{7} d c b + \frac{1}{7} x^{7} f b^{2} + \frac{2}{7} x^{7} f c a + \frac{1}{6} x^{6} e b^{2} + \frac{1}{3} x^{6} e c a + \frac{1}{5} x^{5} d b^{2} + \frac{2}{5} x^{5} d c a + \frac{2}{5} x^{5} f b a + \frac{1}{2} x^{4} e b a + \frac{2}{3} x^{3} d b a + \frac{1}{3} x^{3} f a^{2} + \frac{1}{2} x^{2} e a^{2} + x d a^{2}"," ",0,"1/11*x^11*f*c^2 + 1/10*x^10*e*c^2 + 1/9*x^9*d*c^2 + 2/9*x^9*f*c*b + 1/4*x^8*e*c*b + 2/7*x^7*d*c*b + 1/7*x^7*f*b^2 + 2/7*x^7*f*c*a + 1/6*x^6*e*b^2 + 1/3*x^6*e*c*a + 1/5*x^5*d*b^2 + 2/5*x^5*d*c*a + 2/5*x^5*f*b*a + 1/2*x^4*e*b*a + 2/3*x^3*d*b*a + 1/3*x^3*f*a^2 + 1/2*x^2*e*a^2 + x*d*a^2","A",0
8,1,202,0,0.631354," ","integrate((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} g c^{2} + \frac{1}{11} x^{11} f c^{2} + \frac{1}{10} x^{10} e c^{2} + \frac{1}{5} x^{10} g c b + \frac{1}{9} x^{9} d c^{2} + \frac{2}{9} x^{9} f c b + \frac{1}{4} x^{8} e c b + \frac{1}{8} x^{8} g b^{2} + \frac{1}{4} x^{8} g c a + \frac{2}{7} x^{7} d c b + \frac{1}{7} x^{7} f b^{2} + \frac{2}{7} x^{7} f c a + \frac{1}{6} x^{6} e b^{2} + \frac{1}{3} x^{6} e c a + \frac{1}{3} x^{6} g b a + \frac{1}{5} x^{5} d b^{2} + \frac{2}{5} x^{5} d c a + \frac{2}{5} x^{5} f b a + \frac{1}{2} x^{4} e b a + \frac{1}{4} x^{4} g a^{2} + \frac{2}{3} x^{3} d b a + \frac{1}{3} x^{3} f a^{2} + \frac{1}{2} x^{2} e a^{2} + x d a^{2}"," ",0,"1/12*x^12*g*c^2 + 1/11*x^11*f*c^2 + 1/10*x^10*e*c^2 + 1/5*x^10*g*c*b + 1/9*x^9*d*c^2 + 2/9*x^9*f*c*b + 1/4*x^8*e*c*b + 1/8*x^8*g*b^2 + 1/4*x^8*g*c*a + 2/7*x^7*d*c*b + 1/7*x^7*f*b^2 + 2/7*x^7*f*c*a + 1/6*x^6*e*b^2 + 1/3*x^6*e*c*a + 1/3*x^6*g*b*a + 1/5*x^5*d*b^2 + 2/5*x^5*d*c*a + 2/5*x^5*f*b*a + 1/2*x^4*e*b*a + 1/4*x^4*g*a^2 + 2/3*x^3*d*b*a + 1/3*x^3*f*a^2 + 1/2*x^2*e*a^2 + x*d*a^2","A",0
9,1,253,0,0.974009," ","integrate((c*x^4+b*x^2+a)^2*(h*x^4+g*x^3+f*x^2+e*x+d),x, algorithm=""fricas"")","\frac{1}{13} x^{13} h c^{2} + \frac{1}{12} x^{12} g c^{2} + \frac{1}{11} x^{11} f c^{2} + \frac{2}{11} x^{11} h c b + \frac{1}{10} x^{10} e c^{2} + \frac{1}{5} x^{10} g c b + \frac{1}{9} x^{9} d c^{2} + \frac{2}{9} x^{9} f c b + \frac{1}{9} x^{9} h b^{2} + \frac{2}{9} x^{9} h c a + \frac{1}{4} x^{8} e c b + \frac{1}{8} x^{8} g b^{2} + \frac{1}{4} x^{8} g c a + \frac{2}{7} x^{7} d c b + \frac{1}{7} x^{7} f b^{2} + \frac{2}{7} x^{7} f c a + \frac{2}{7} x^{7} h b a + \frac{1}{6} x^{6} e b^{2} + \frac{1}{3} x^{6} e c a + \frac{1}{3} x^{6} g b a + \frac{1}{5} x^{5} d b^{2} + \frac{2}{5} x^{5} d c a + \frac{2}{5} x^{5} f b a + \frac{1}{5} x^{5} h a^{2} + \frac{1}{2} x^{4} e b a + \frac{1}{4} x^{4} g a^{2} + \frac{2}{3} x^{3} d b a + \frac{1}{3} x^{3} f a^{2} + \frac{1}{2} x^{2} e a^{2} + x d a^{2}"," ",0,"1/13*x^13*h*c^2 + 1/12*x^12*g*c^2 + 1/11*x^11*f*c^2 + 2/11*x^11*h*c*b + 1/10*x^10*e*c^2 + 1/5*x^10*g*c*b + 1/9*x^9*d*c^2 + 2/9*x^9*f*c*b + 1/9*x^9*h*b^2 + 2/9*x^9*h*c*a + 1/4*x^8*e*c*b + 1/8*x^8*g*b^2 + 1/4*x^8*g*c*a + 2/7*x^7*d*c*b + 1/7*x^7*f*b^2 + 2/7*x^7*f*c*a + 2/7*x^7*h*b*a + 1/6*x^6*e*b^2 + 1/3*x^6*e*c*a + 1/3*x^6*g*b*a + 1/5*x^5*d*b^2 + 2/5*x^5*d*c*a + 2/5*x^5*f*b*a + 1/5*x^5*h*a^2 + 1/2*x^4*e*b*a + 1/4*x^4*g*a^2 + 2/3*x^3*d*b*a + 1/3*x^3*f*a^2 + 1/2*x^2*e*a^2 + x*d*a^2","A",0
10,1,43,0,0.940051," ","integrate((e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","-\frac{1}{12} \, {\left(d - 2 \, e\right)} \log\left(x + 2\right) + \frac{1}{6} \, {\left(d - e\right)} \log\left(x + 1\right) - \frac{1}{6} \, {\left(d + e\right)} \log\left(x - 1\right) + \frac{1}{12} \, {\left(d + 2 \, e\right)} \log\left(x - 2\right)"," ",0,"-1/12*(d - 2*e)*log(x + 2) + 1/6*(d - e)*log(x + 1) - 1/6*(d + e)*log(x - 1) + 1/12*(d + 2*e)*log(x - 2)","A",0
11,1,51,0,0.893860," ","integrate((f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","-\frac{1}{12} \, {\left(d - 2 \, e + 4 \, f\right)} \log\left(x + 2\right) + \frac{1}{6} \, {\left(d - e + f\right)} \log\left(x + 1\right) - \frac{1}{6} \, {\left(d + e + f\right)} \log\left(x - 1\right) + \frac{1}{12} \, {\left(d + 2 \, e + 4 \, f\right)} \log\left(x - 2\right)"," ",0,"-1/12*(d - 2*e + 4*f)*log(x + 2) + 1/6*(d - e + f)*log(x + 1) - 1/6*(d + e + f)*log(x - 1) + 1/12*(d + 2*e + 4*f)*log(x - 2)","A",0
12,1,61,0,1.632384," ","integrate((g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","-\frac{1}{12} \, {\left(d - 2 \, e + 4 \, f - 8 \, g\right)} \log\left(x + 2\right) + \frac{1}{6} \, {\left(d - e + f - g\right)} \log\left(x + 1\right) - \frac{1}{6} \, {\left(d + e + f + g\right)} \log\left(x - 1\right) + \frac{1}{12} \, {\left(d + 2 \, e + 4 \, f + 8 \, g\right)} \log\left(x - 2\right)"," ",0,"-1/12*(d - 2*e + 4*f - 8*g)*log(x + 2) + 1/6*(d - e + f - g)*log(x + 1) - 1/6*(d + e + f + g)*log(x - 1) + 1/12*(d + 2*e + 4*f + 8*g)*log(x - 2)","A",0
13,1,72,0,4.715517," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","h x - \frac{1}{12} \, {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h\right)} \log\left(x + 2\right) + \frac{1}{6} \, {\left(d - e + f - g + h\right)} \log\left(x + 1\right) - \frac{1}{6} \, {\left(d + e + f + g + h\right)} \log\left(x - 1\right) + \frac{1}{12} \, {\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h\right)} \log\left(x - 2\right)"," ",0,"h*x - 1/12*(d - 2*e + 4*f - 8*g + 16*h)*log(x + 2) + 1/6*(d - e + f - g + h)*log(x + 1) - 1/6*(d + e + f + g + h)*log(x - 1) + 1/12*(d + 2*e + 4*f + 8*g + 16*h)*log(x - 2)","A",0
14,1,88,0,20.104933," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{2} \, i x^{2} + h x - \frac{1}{12} \, {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h - 32 \, i\right)} \log\left(x + 2\right) + \frac{1}{6} \, {\left(d - e + f - g + h - i\right)} \log\left(x + 1\right) - \frac{1}{6} \, {\left(d + e + f + g + h + i\right)} \log\left(x - 1\right) + \frac{1}{12} \, {\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h + 32 \, i\right)} \log\left(x - 2\right)"," ",0,"1/2*i*x^2 + h*x - 1/12*(d - 2*e + 4*f - 8*g + 16*h - 32*i)*log(x + 2) + 1/6*(d - e + f - g + h - i)*log(x + 1) - 1/6*(d + e + f + g + h + i)*log(x - 1) + 1/12*(d + 2*e + 4*f + 8*g + 16*h + 32*i)*log(x - 2)","A",0
15,1,65,0,1.118532," ","integrate((e*x+d)/(x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} {\left(d - 2 \, e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} {\left(d + 2 \, e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, d \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, d \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*(d - 2*e)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*(d + 2*e)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*d*log(x^2 + x + 1) - 1/4*d*log(x^2 - x + 1)","A",0
16,1,75,0,1.087228," ","integrate((f*x^2+e*x+d)/(x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} {\left(d - 2 \, e + f\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} {\left(d + 2 \, e + f\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, {\left(d - f\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, {\left(d - f\right)} \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*(d - 2*e + f)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*(d + 2*e + f)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*(d - f)*log(x^2 + x + 1) - 1/4*(d - f)*log(x^2 - x + 1)","A",0
17,1,83,0,1.857121," ","integrate((g*x^3+f*x^2+e*x+d)/(x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} {\left(d - 2 \, e + f + g\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} {\left(d + 2 \, e + f - g\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, {\left(d - f + g\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, {\left(d - f - g\right)} \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*(d - 2*e + f + g)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*(d + 2*e + f - g)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*(d - f + g)*log(x^2 + x + 1) - 1/4*(d - f - g)*log(x^2 - x + 1)","A",0
18,1,92,0,4.518780," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} {\left(d - 2 \, e + f + g - 2 \, h\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} {\left(d + 2 \, e + f - g - 2 \, h\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + h x + \frac{1}{4} \, {\left(d - f + g\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, {\left(d - f - g\right)} \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*(d - 2*e + f + g - 2*h)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*(d + 2*e + f - g - 2*h)*arctan(1/3*sqrt(3)*(2*x - 1)) + h*x + 1/4*(d - f + g)*log(x^2 + x + 1) - 1/4*(d - f - g)*log(x^2 - x + 1)","A",0
19,1,106,0,18.844217," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, i x^{2} + \frac{1}{6} \, \sqrt{3} {\left(d - 2 \, e + f + g - 2 \, h + i\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} {\left(d + 2 \, e + f - g - 2 \, h - i\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + h x + \frac{1}{4} \, {\left(d - f + g - i\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, {\left(d - f - g + i\right)} \log\left(x^{2} - x + 1\right)"," ",0,"1/2*i*x^2 + 1/6*sqrt(3)*(d - 2*e + f + g - 2*h + i)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*(d + 2*e + f - g - 2*h - i)*arctan(1/3*sqrt(3)*(2*x - 1)) + h*x + 1/4*(d - f + g - i)*log(x^2 + x + 1) - 1/4*(d - f - g + i)*log(x^2 - x + 1)","A",0
20,-1,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate((f*x^2+e*x+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,-1,0,0,0.000000," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,1,169,0,1.470212," ","integrate((e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{60 \, d x^{3} + 96 \, e x^{2} - 204 \, d x - {\left({\left(19 \, d - 32 \, e\right)} x^{4} - 5 \, {\left(19 \, d - 32 \, e\right)} x^{2} + 76 \, d - 128 \, e\right)} \log\left(x + 2\right) + 8 \, {\left({\left(d - 4 \, e\right)} x^{4} - 5 \, {\left(d - 4 \, e\right)} x^{2} + 4 \, d - 16 \, e\right)} \log\left(x + 1\right) - 8 \, {\left({\left(d + 4 \, e\right)} x^{4} - 5 \, {\left(d + 4 \, e\right)} x^{2} + 4 \, d + 16 \, e\right)} \log\left(x - 1\right) + {\left({\left(19 \, d + 32 \, e\right)} x^{4} - 5 \, {\left(19 \, d + 32 \, e\right)} x^{2} + 76 \, d + 128 \, e\right)} \log\left(x - 2\right) - 240 \, e}{864 \, {\left(x^{4} - 5 \, x^{2} + 4\right)}}"," ",0,"-1/864*(60*d*x^3 + 96*e*x^2 - 204*d*x - ((19*d - 32*e)*x^4 - 5*(19*d - 32*e)*x^2 + 76*d - 128*e)*log(x + 2) + 8*((d - 4*e)*x^4 - 5*(d - 4*e)*x^2 + 4*d - 16*e)*log(x + 1) - 8*((d + 4*e)*x^4 - 5*(d + 4*e)*x^2 + 4*d + 16*e)*log(x - 1) + ((19*d + 32*e)*x^4 - 5*(19*d + 32*e)*x^2 + 76*d + 128*e)*log(x - 2) - 240*e)/(x^4 - 5*x^2 + 4)","B",0
27,1,217,0,1.801205," ","integrate((f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 8 \, f\right)} x^{3} + 96 \, e x^{2} - 12 \, {\left(17 \, d + 20 \, f\right)} x - {\left({\left(19 \, d - 32 \, e + 52 \, f\right)} x^{4} - 5 \, {\left(19 \, d - 32 \, e + 52 \, f\right)} x^{2} + 76 \, d - 128 \, e + 208 \, f\right)} \log\left(x + 2\right) + 8 \, {\left({\left(d - 4 \, e + 7 \, f\right)} x^{4} - 5 \, {\left(d - 4 \, e + 7 \, f\right)} x^{2} + 4 \, d - 16 \, e + 28 \, f\right)} \log\left(x + 1\right) - 8 \, {\left({\left(d + 4 \, e + 7 \, f\right)} x^{4} - 5 \, {\left(d + 4 \, e + 7 \, f\right)} x^{2} + 4 \, d + 16 \, e + 28 \, f\right)} \log\left(x - 1\right) + {\left({\left(19 \, d + 32 \, e + 52 \, f\right)} x^{4} - 5 \, {\left(19 \, d + 32 \, e + 52 \, f\right)} x^{2} + 76 \, d + 128 \, e + 208 \, f\right)} \log\left(x - 2\right) - 240 \, e}{864 \, {\left(x^{4} - 5 \, x^{2} + 4\right)}}"," ",0,"-1/864*(12*(5*d + 8*f)*x^3 + 96*e*x^2 - 12*(17*d + 20*f)*x - ((19*d - 32*e + 52*f)*x^4 - 5*(19*d - 32*e + 52*f)*x^2 + 76*d - 128*e + 208*f)*log(x + 2) + 8*((d - 4*e + 7*f)*x^4 - 5*(d - 4*e + 7*f)*x^2 + 4*d - 16*e + 28*f)*log(x + 1) - 8*((d + 4*e + 7*f)*x^4 - 5*(d + 4*e + 7*f)*x^2 + 4*d + 16*e + 28*f)*log(x - 1) + ((19*d + 32*e + 52*f)*x^4 - 5*(19*d + 32*e + 52*f)*x^2 + 76*d + 128*e + 208*f)*log(x - 2) - 240*e)/(x^4 - 5*x^2 + 4)","B",0
28,1,262,0,2.864510," ","integrate((g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 8 \, f\right)} x^{3} + 48 \, {\left(2 \, e + 5 \, g\right)} x^{2} - 12 \, {\left(17 \, d + 20 \, f\right)} x - {\left({\left(19 \, d - 32 \, e + 52 \, f - 80 \, g\right)} x^{4} - 5 \, {\left(19 \, d - 32 \, e + 52 \, f - 80 \, g\right)} x^{2} + 76 \, d - 128 \, e + 208 \, f - 320 \, g\right)} \log\left(x + 2\right) + 8 \, {\left({\left(d - 4 \, e + 7 \, f - 10 \, g\right)} x^{4} - 5 \, {\left(d - 4 \, e + 7 \, f - 10 \, g\right)} x^{2} + 4 \, d - 16 \, e + 28 \, f - 40 \, g\right)} \log\left(x + 1\right) - 8 \, {\left({\left(d + 4 \, e + 7 \, f + 10 \, g\right)} x^{4} - 5 \, {\left(d + 4 \, e + 7 \, f + 10 \, g\right)} x^{2} + 4 \, d + 16 \, e + 28 \, f + 40 \, g\right)} \log\left(x - 1\right) + {\left({\left(19 \, d + 32 \, e + 52 \, f + 80 \, g\right)} x^{4} - 5 \, {\left(19 \, d + 32 \, e + 52 \, f + 80 \, g\right)} x^{2} + 76 \, d + 128 \, e + 208 \, f + 320 \, g\right)} \log\left(x - 2\right) - 240 \, e - 384 \, g}{864 \, {\left(x^{4} - 5 \, x^{2} + 4\right)}}"," ",0,"-1/864*(12*(5*d + 8*f)*x^3 + 48*(2*e + 5*g)*x^2 - 12*(17*d + 20*f)*x - ((19*d - 32*e + 52*f - 80*g)*x^4 - 5*(19*d - 32*e + 52*f - 80*g)*x^2 + 76*d - 128*e + 208*f - 320*g)*log(x + 2) + 8*((d - 4*e + 7*f - 10*g)*x^4 - 5*(d - 4*e + 7*f - 10*g)*x^2 + 4*d - 16*e + 28*f - 40*g)*log(x + 1) - 8*((d + 4*e + 7*f + 10*g)*x^4 - 5*(d + 4*e + 7*f + 10*g)*x^2 + 4*d + 16*e + 28*f + 40*g)*log(x - 1) + ((19*d + 32*e + 52*f + 80*g)*x^4 - 5*(19*d + 32*e + 52*f + 80*g)*x^2 + 76*d + 128*e + 208*f + 320*g)*log(x - 2) - 240*e - 384*g)/(x^4 - 5*x^2 + 4)","B",0
29,1,304,0,5.977944," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 8 \, f + 20 \, h\right)} x^{3} + 48 \, {\left(2 \, e + 5 \, g\right)} x^{2} - 12 \, {\left(17 \, d + 20 \, f + 32 \, h\right)} x - {\left({\left(19 \, d - 32 \, e + 52 \, f - 80 \, g + 112 \, h\right)} x^{4} - 5 \, {\left(19 \, d - 32 \, e + 52 \, f - 80 \, g + 112 \, h\right)} x^{2} + 76 \, d - 128 \, e + 208 \, f - 320 \, g + 448 \, h\right)} \log\left(x + 2\right) + 8 \, {\left({\left(d - 4 \, e + 7 \, f - 10 \, g + 13 \, h\right)} x^{4} - 5 \, {\left(d - 4 \, e + 7 \, f - 10 \, g + 13 \, h\right)} x^{2} + 4 \, d - 16 \, e + 28 \, f - 40 \, g + 52 \, h\right)} \log\left(x + 1\right) - 8 \, {\left({\left(d + 4 \, e + 7 \, f + 10 \, g + 13 \, h\right)} x^{4} - 5 \, {\left(d + 4 \, e + 7 \, f + 10 \, g + 13 \, h\right)} x^{2} + 4 \, d + 16 \, e + 28 \, f + 40 \, g + 52 \, h\right)} \log\left(x - 1\right) + {\left({\left(19 \, d + 32 \, e + 52 \, f + 80 \, g + 112 \, h\right)} x^{4} - 5 \, {\left(19 \, d + 32 \, e + 52 \, f + 80 \, g + 112 \, h\right)} x^{2} + 76 \, d + 128 \, e + 208 \, f + 320 \, g + 448 \, h\right)} \log\left(x - 2\right) - 240 \, e - 384 \, g}{864 \, {\left(x^{4} - 5 \, x^{2} + 4\right)}}"," ",0,"-1/864*(12*(5*d + 8*f + 20*h)*x^3 + 48*(2*e + 5*g)*x^2 - 12*(17*d + 20*f + 32*h)*x - ((19*d - 32*e + 52*f - 80*g + 112*h)*x^4 - 5*(19*d - 32*e + 52*f - 80*g + 112*h)*x^2 + 76*d - 128*e + 208*f - 320*g + 448*h)*log(x + 2) + 8*((d - 4*e + 7*f - 10*g + 13*h)*x^4 - 5*(d - 4*e + 7*f - 10*g + 13*h)*x^2 + 4*d - 16*e + 28*f - 40*g + 52*h)*log(x + 1) - 8*((d + 4*e + 7*f + 10*g + 13*h)*x^4 - 5*(d + 4*e + 7*f + 10*g + 13*h)*x^2 + 4*d + 16*e + 28*f + 40*g + 52*h)*log(x - 1) + ((19*d + 32*e + 52*f + 80*g + 112*h)*x^4 - 5*(19*d + 32*e + 52*f + 80*g + 112*h)*x^2 + 76*d + 128*e + 208*f + 320*g + 448*h)*log(x - 2) - 240*e - 384*g)/(x^4 - 5*x^2 + 4)","B",0
30,1,346,0,29.566741," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 8 \, f + 20 \, h\right)} x^{3} + 48 \, {\left(2 \, e + 5 \, g + 17 \, i\right)} x^{2} - 12 \, {\left(17 \, d + 20 \, f + 32 \, h\right)} x - {\left({\left(19 \, d - 32 \, e + 52 \, f - 80 \, g + 112 \, h - 128 \, i\right)} x^{4} - 5 \, {\left(19 \, d - 32 \, e + 52 \, f - 80 \, g + 112 \, h - 128 \, i\right)} x^{2} + 76 \, d - 128 \, e + 208 \, f - 320 \, g + 448 \, h - 512 \, i\right)} \log\left(x + 2\right) + 8 \, {\left({\left(d - 4 \, e + 7 \, f - 10 \, g + 13 \, h - 16 \, i\right)} x^{4} - 5 \, {\left(d - 4 \, e + 7 \, f - 10 \, g + 13 \, h - 16 \, i\right)} x^{2} + 4 \, d - 16 \, e + 28 \, f - 40 \, g + 52 \, h - 64 \, i\right)} \log\left(x + 1\right) - 8 \, {\left({\left(d + 4 \, e + 7 \, f + 10 \, g + 13 \, h + 16 \, i\right)} x^{4} - 5 \, {\left(d + 4 \, e + 7 \, f + 10 \, g + 13 \, h + 16 \, i\right)} x^{2} + 4 \, d + 16 \, e + 28 \, f + 40 \, g + 52 \, h + 64 \, i\right)} \log\left(x - 1\right) + {\left({\left(19 \, d + 32 \, e + 52 \, f + 80 \, g + 112 \, h + 128 \, i\right)} x^{4} - 5 \, {\left(19 \, d + 32 \, e + 52 \, f + 80 \, g + 112 \, h + 128 \, i\right)} x^{2} + 76 \, d + 128 \, e + 208 \, f + 320 \, g + 448 \, h + 512 \, i\right)} \log\left(x - 2\right) - 240 \, e - 384 \, g - 960 \, i}{864 \, {\left(x^{4} - 5 \, x^{2} + 4\right)}}"," ",0,"-1/864*(12*(5*d + 8*f + 20*h)*x^3 + 48*(2*e + 5*g + 17*i)*x^2 - 12*(17*d + 20*f + 32*h)*x - ((19*d - 32*e + 52*f - 80*g + 112*h - 128*i)*x^4 - 5*(19*d - 32*e + 52*f - 80*g + 112*h - 128*i)*x^2 + 76*d - 128*e + 208*f - 320*g + 448*h - 512*i)*log(x + 2) + 8*((d - 4*e + 7*f - 10*g + 13*h - 16*i)*x^4 - 5*(d - 4*e + 7*f - 10*g + 13*h - 16*i)*x^2 + 4*d - 16*e + 28*f - 40*g + 52*h - 64*i)*log(x + 1) - 8*((d + 4*e + 7*f + 10*g + 13*h + 16*i)*x^4 - 5*(d + 4*e + 7*f + 10*g + 13*h + 16*i)*x^2 + 4*d + 16*e + 28*f + 40*g + 52*h + 64*i)*log(x - 1) + ((19*d + 32*e + 52*f + 80*g + 112*h + 128*i)*x^4 - 5*(19*d + 32*e + 52*f + 80*g + 112*h + 128*i)*x^2 + 76*d + 128*e + 208*f + 320*g + 448*h + 512*i)*log(x - 2) - 240*e - 384*g - 960*i)/(x^4 - 5*x^2 + 4)","B",0
31,1,154,0,1.492849," ","integrate((e*x+d)/(x^4+x^2+1)^2,x, algorithm=""fricas"")","-\frac{6 \, d x^{3} - 12 \, e x^{2} - 4 \, \sqrt{3} {\left({\left(d - 2 \, e\right)} x^{4} + {\left(d - 2 \, e\right)} x^{2} + d - 2 \, e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 4 \, \sqrt{3} {\left({\left(d + 2 \, e\right)} x^{4} + {\left(d + 2 \, e\right)} x^{2} + d + 2 \, e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 6 \, d x - 9 \, {\left(d x^{4} + d x^{2} + d\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left(d x^{4} + d x^{2} + d\right)} \log\left(x^{2} - x + 1\right) - 6 \, e}{36 \, {\left(x^{4} + x^{2} + 1\right)}}"," ",0,"-1/36*(6*d*x^3 - 12*e*x^2 - 4*sqrt(3)*((d - 2*e)*x^4 + (d - 2*e)*x^2 + d - 2*e)*arctan(1/3*sqrt(3)*(2*x + 1)) - 4*sqrt(3)*((d + 2*e)*x^4 + (d + 2*e)*x^2 + d + 2*e)*arctan(1/3*sqrt(3)*(2*x - 1)) - 6*d*x - 9*(d*x^4 + d*x^2 + d)*log(x^2 + x + 1) + 9*(d*x^4 + d*x^2 + d)*log(x^2 - x + 1) - 6*e)/(x^4 + x^2 + 1)","A",0
32,1,212,0,1.591258," ","integrate((f*x^2+e*x+d)/(x^4+x^2+1)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(d - 2 \, f\right)} x^{3} - 24 \, e x^{2} - 2 \, \sqrt{3} {\left({\left(4 \, d - 8 \, e + f\right)} x^{4} + {\left(4 \, d - 8 \, e + f\right)} x^{2} + 4 \, d - 8 \, e + f\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(4 \, d + 8 \, e + f\right)} x^{4} + {\left(4 \, d + 8 \, e + f\right)} x^{2} + 4 \, d + 8 \, e + f\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(d + f\right)} x - 9 \, {\left({\left(2 \, d - f\right)} x^{4} + {\left(2 \, d - f\right)} x^{2} + 2 \, d - f\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(2 \, d - f\right)} x^{4} + {\left(2 \, d - f\right)} x^{2} + 2 \, d - f\right)} \log\left(x^{2} - x + 1\right) - 12 \, e}{72 \, {\left(x^{4} + x^{2} + 1\right)}}"," ",0,"-1/72*(12*(d - 2*f)*x^3 - 24*e*x^2 - 2*sqrt(3)*((4*d - 8*e + f)*x^4 + (4*d - 8*e + f)*x^2 + 4*d - 8*e + f)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((4*d + 8*e + f)*x^4 + (4*d + 8*e + f)*x^2 + 4*d + 8*e + f)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(d + f)*x - 9*((2*d - f)*x^4 + (2*d - f)*x^2 + 2*d - f)*log(x^2 + x + 1) + 9*((2*d - f)*x^4 + (2*d - f)*x^2 + 2*d - f)*log(x^2 - x + 1) - 12*e)/(x^4 + x^2 + 1)","A",0
33,1,239,0,2.027666," ","integrate((g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(d - 2 \, f\right)} x^{3} - 12 \, {\left(2 \, e - g\right)} x^{2} - 2 \, \sqrt{3} {\left({\left(4 \, d - 8 \, e + f + 4 \, g\right)} x^{4} + {\left(4 \, d - 8 \, e + f + 4 \, g\right)} x^{2} + 4 \, d - 8 \, e + f + 4 \, g\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(4 \, d + 8 \, e + f - 4 \, g\right)} x^{4} + {\left(4 \, d + 8 \, e + f - 4 \, g\right)} x^{2} + 4 \, d + 8 \, e + f - 4 \, g\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(d + f\right)} x - 9 \, {\left({\left(2 \, d - f\right)} x^{4} + {\left(2 \, d - f\right)} x^{2} + 2 \, d - f\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(2 \, d - f\right)} x^{4} + {\left(2 \, d - f\right)} x^{2} + 2 \, d - f\right)} \log\left(x^{2} - x + 1\right) - 12 \, e + 24 \, g}{72 \, {\left(x^{4} + x^{2} + 1\right)}}"," ",0,"-1/72*(12*(d - 2*f)*x^3 - 12*(2*e - g)*x^2 - 2*sqrt(3)*((4*d - 8*e + f + 4*g)*x^4 + (4*d - 8*e + f + 4*g)*x^2 + 4*d - 8*e + f + 4*g)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((4*d + 8*e + f - 4*g)*x^4 + (4*d + 8*e + f - 4*g)*x^2 + 4*d + 8*e + f - 4*g)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(d + f)*x - 9*((2*d - f)*x^4 + (2*d - f)*x^2 + 2*d - f)*log(x^2 + x + 1) + 9*((2*d - f)*x^4 + (2*d - f)*x^2 + 2*d - f)*log(x^2 - x + 1) - 12*e + 24*g)/(x^4 + x^2 + 1)","A",0
34,1,255,0,5.910381," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(d - 2 \, f + h\right)} x^{3} - 12 \, {\left(2 \, e - g\right)} x^{2} - 2 \, \sqrt{3} {\left({\left(4 \, d - 8 \, e + f + 4 \, g + h\right)} x^{4} + {\left(4 \, d - 8 \, e + f + 4 \, g + h\right)} x^{2} + 4 \, d - 8 \, e + f + 4 \, g + h\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(4 \, d + 8 \, e + f - 4 \, g + h\right)} x^{4} + {\left(4 \, d + 8 \, e + f - 4 \, g + h\right)} x^{2} + 4 \, d + 8 \, e + f - 4 \, g + h\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(d + f - 2 \, h\right)} x - 9 \, {\left({\left(2 \, d - f + h\right)} x^{4} + {\left(2 \, d - f + h\right)} x^{2} + 2 \, d - f + h\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(2 \, d - f + h\right)} x^{4} + {\left(2 \, d - f + h\right)} x^{2} + 2 \, d - f + h\right)} \log\left(x^{2} - x + 1\right) - 12 \, e + 24 \, g}{72 \, {\left(x^{4} + x^{2} + 1\right)}}"," ",0,"-1/72*(12*(d - 2*f + h)*x^3 - 12*(2*e - g)*x^2 - 2*sqrt(3)*((4*d - 8*e + f + 4*g + h)*x^4 + (4*d - 8*e + f + 4*g + h)*x^2 + 4*d - 8*e + f + 4*g + h)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((4*d + 8*e + f - 4*g + h)*x^4 + (4*d + 8*e + f - 4*g + h)*x^2 + 4*d + 8*e + f - 4*g + h)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(d + f - 2*h)*x - 9*((2*d - f + h)*x^4 + (2*d - f + h)*x^2 + 2*d - f + h)*log(x^2 + x + 1) + 9*((2*d - f + h)*x^4 + (2*d - f + h)*x^2 + 2*d - f + h)*log(x^2 - x + 1) - 12*e + 24*g)/(x^4 + x^2 + 1)","A",0
35,1,279,0,23.834735," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(d - 2 \, f + h\right)} x^{3} - 12 \, {\left(2 \, e - g - i\right)} x^{2} - 2 \, \sqrt{3} {\left({\left(4 \, d - 8 \, e + f + 4 \, g + h - 8 \, i\right)} x^{4} + {\left(4 \, d - 8 \, e + f + 4 \, g + h - 8 \, i\right)} x^{2} + 4 \, d - 8 \, e + f + 4 \, g + h - 8 \, i\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(4 \, d + 8 \, e + f - 4 \, g + h + 8 \, i\right)} x^{4} + {\left(4 \, d + 8 \, e + f - 4 \, g + h + 8 \, i\right)} x^{2} + 4 \, d + 8 \, e + f - 4 \, g + h + 8 \, i\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(d + f - 2 \, h\right)} x - 9 \, {\left({\left(2 \, d - f + h\right)} x^{4} + {\left(2 \, d - f + h\right)} x^{2} + 2 \, d - f + h\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(2 \, d - f + h\right)} x^{4} + {\left(2 \, d - f + h\right)} x^{2} + 2 \, d - f + h\right)} \log\left(x^{2} - x + 1\right) - 12 \, e + 24 \, g - 12 \, i}{72 \, {\left(x^{4} + x^{2} + 1\right)}}"," ",0,"-1/72*(12*(d - 2*f + h)*x^3 - 12*(2*e - g - i)*x^2 - 2*sqrt(3)*((4*d - 8*e + f + 4*g + h - 8*i)*x^4 + (4*d - 8*e + f + 4*g + h - 8*i)*x^2 + 4*d - 8*e + f + 4*g + h - 8*i)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((4*d + 8*e + f - 4*g + h + 8*i)*x^4 + (4*d + 8*e + f - 4*g + h + 8*i)*x^2 + 4*d + 8*e + f - 4*g + h + 8*i)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(d + f - 2*h)*x - 9*((2*d - f + h)*x^4 + (2*d - f + h)*x^2 + 2*d - f + h)*log(x^2 + x + 1) + 9*((2*d - f + h)*x^4 + (2*d - f + h)*x^2 + 2*d - f + h)*log(x^2 - x + 1) - 12*e + 24*g - 12*i)/(x^4 + x^2 + 1)","A",0
36,-1,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,-1,0,0,0.000000," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,-1,0,0,0.000000," ","integrate((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,1,307,0,1.351992," ","integrate((e*x+d)/(x^4-5*x^2+4)^3,x, algorithm=""fricas"")","\frac{420 \, d x^{7} + 1536 \, e x^{6} - 2808 \, d x^{5} - 11520 \, e x^{4} + 3780 \, d x^{3} + 23040 \, e x^{2} + 2064 \, d x - {\left({\left(313 \, d - 512 \, e\right)} x^{8} - 10 \, {\left(313 \, d - 512 \, e\right)} x^{6} + 33 \, {\left(313 \, d - 512 \, e\right)} x^{4} - 40 \, {\left(313 \, d - 512 \, e\right)} x^{2} + 5008 \, d - 8192 \, e\right)} \log\left(x + 2\right) + 32 \, {\left({\left(13 \, d - 16 \, e\right)} x^{8} - 10 \, {\left(13 \, d - 16 \, e\right)} x^{6} + 33 \, {\left(13 \, d - 16 \, e\right)} x^{4} - 40 \, {\left(13 \, d - 16 \, e\right)} x^{2} + 208 \, d - 256 \, e\right)} \log\left(x + 1\right) - 32 \, {\left({\left(13 \, d + 16 \, e\right)} x^{8} - 10 \, {\left(13 \, d + 16 \, e\right)} x^{6} + 33 \, {\left(13 \, d + 16 \, e\right)} x^{4} - 40 \, {\left(13 \, d + 16 \, e\right)} x^{2} + 208 \, d + 256 \, e\right)} \log\left(x - 1\right) + {\left({\left(313 \, d + 512 \, e\right)} x^{8} - 10 \, {\left(313 \, d + 512 \, e\right)} x^{6} + 33 \, {\left(313 \, d + 512 \, e\right)} x^{4} - 40 \, {\left(313 \, d + 512 \, e\right)} x^{2} + 5008 \, d + 8192 \, e\right)} \log\left(x - 2\right) - 9600 \, e}{41472 \, {\left(x^{8} - 10 \, x^{6} + 33 \, x^{4} - 40 \, x^{2} + 16\right)}}"," ",0,"1/41472*(420*d*x^7 + 1536*e*x^6 - 2808*d*x^5 - 11520*e*x^4 + 3780*d*x^3 + 23040*e*x^2 + 2064*d*x - ((313*d - 512*e)*x^8 - 10*(313*d - 512*e)*x^6 + 33*(313*d - 512*e)*x^4 - 40*(313*d - 512*e)*x^2 + 5008*d - 8192*e)*log(x + 2) + 32*((13*d - 16*e)*x^8 - 10*(13*d - 16*e)*x^6 + 33*(13*d - 16*e)*x^4 - 40*(13*d - 16*e)*x^2 + 208*d - 256*e)*log(x + 1) - 32*((13*d + 16*e)*x^8 - 10*(13*d + 16*e)*x^6 + 33*(13*d + 16*e)*x^4 - 40*(13*d + 16*e)*x^2 + 208*d + 256*e)*log(x - 1) + ((313*d + 512*e)*x^8 - 10*(313*d + 512*e)*x^6 + 33*(313*d + 512*e)*x^4 - 40*(313*d + 512*e)*x^2 + 5008*d + 8192*e)*log(x - 2) - 9600*e)/(x^8 - 10*x^6 + 33*x^4 - 40*x^2 + 16)","B",0
43,1,389,0,1.406251," ","integrate((f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x, algorithm=""fricas"")","\frac{420 \, {\left(d + 4 \, f\right)} x^{7} + 1536 \, e x^{6} - 216 \, {\left(13 \, d + 60 \, f\right)} x^{5} - 11520 \, e x^{4} + 756 \, {\left(5 \, d + 36 \, f\right)} x^{3} + 23040 \, e x^{2} + 48 \, {\left(43 \, d - 260 \, f\right)} x - {\left({\left(313 \, d - 512 \, e + 820 \, f\right)} x^{8} - 10 \, {\left(313 \, d - 512 \, e + 820 \, f\right)} x^{6} + 33 \, {\left(313 \, d - 512 \, e + 820 \, f\right)} x^{4} - 40 \, {\left(313 \, d - 512 \, e + 820 \, f\right)} x^{2} + 5008 \, d - 8192 \, e + 13120 \, f\right)} \log\left(x + 2\right) + 32 \, {\left({\left(13 \, d - 16 \, e + 25 \, f\right)} x^{8} - 10 \, {\left(13 \, d - 16 \, e + 25 \, f\right)} x^{6} + 33 \, {\left(13 \, d - 16 \, e + 25 \, f\right)} x^{4} - 40 \, {\left(13 \, d - 16 \, e + 25 \, f\right)} x^{2} + 208 \, d - 256 \, e + 400 \, f\right)} \log\left(x + 1\right) - 32 \, {\left({\left(13 \, d + 16 \, e + 25 \, f\right)} x^{8} - 10 \, {\left(13 \, d + 16 \, e + 25 \, f\right)} x^{6} + 33 \, {\left(13 \, d + 16 \, e + 25 \, f\right)} x^{4} - 40 \, {\left(13 \, d + 16 \, e + 25 \, f\right)} x^{2} + 208 \, d + 256 \, e + 400 \, f\right)} \log\left(x - 1\right) + {\left({\left(313 \, d + 512 \, e + 820 \, f\right)} x^{8} - 10 \, {\left(313 \, d + 512 \, e + 820 \, f\right)} x^{6} + 33 \, {\left(313 \, d + 512 \, e + 820 \, f\right)} x^{4} - 40 \, {\left(313 \, d + 512 \, e + 820 \, f\right)} x^{2} + 5008 \, d + 8192 \, e + 13120 \, f\right)} \log\left(x - 2\right) - 9600 \, e}{41472 \, {\left(x^{8} - 10 \, x^{6} + 33 \, x^{4} - 40 \, x^{2} + 16\right)}}"," ",0,"1/41472*(420*(d + 4*f)*x^7 + 1536*e*x^6 - 216*(13*d + 60*f)*x^5 - 11520*e*x^4 + 756*(5*d + 36*f)*x^3 + 23040*e*x^2 + 48*(43*d - 260*f)*x - ((313*d - 512*e + 820*f)*x^8 - 10*(313*d - 512*e + 820*f)*x^6 + 33*(313*d - 512*e + 820*f)*x^4 - 40*(313*d - 512*e + 820*f)*x^2 + 5008*d - 8192*e + 13120*f)*log(x + 2) + 32*((13*d - 16*e + 25*f)*x^8 - 10*(13*d - 16*e + 25*f)*x^6 + 33*(13*d - 16*e + 25*f)*x^4 - 40*(13*d - 16*e + 25*f)*x^2 + 208*d - 256*e + 400*f)*log(x + 1) - 32*((13*d + 16*e + 25*f)*x^8 - 10*(13*d + 16*e + 25*f)*x^6 + 33*(13*d + 16*e + 25*f)*x^4 - 40*(13*d + 16*e + 25*f)*x^2 + 208*d + 256*e + 400*f)*log(x - 1) + ((313*d + 512*e + 820*f)*x^8 - 10*(313*d + 512*e + 820*f)*x^6 + 33*(313*d + 512*e + 820*f)*x^4 - 40*(313*d + 512*e + 820*f)*x^2 + 5008*d + 8192*e + 13120*f)*log(x - 2) - 9600*e)/(x^8 - 10*x^6 + 33*x^4 - 40*x^2 + 16)","B",0
44,1,470,0,2.614043," ","integrate((g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x, algorithm=""fricas"")","\frac{420 \, {\left(d + 4 \, f\right)} x^{7} + 768 \, {\left(2 \, e + 5 \, g\right)} x^{6} - 216 \, {\left(13 \, d + 60 \, f\right)} x^{5} - 5760 \, {\left(2 \, e + 5 \, g\right)} x^{4} + 756 \, {\left(5 \, d + 36 \, f\right)} x^{3} + 11520 \, {\left(2 \, e + 5 \, g\right)} x^{2} + 48 \, {\left(43 \, d - 260 \, f\right)} x - {\left({\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g\right)} x^{8} - 10 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g\right)} x^{6} + 33 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g\right)} x^{4} - 40 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g\right)} x^{2} + 5008 \, d - 8192 \, e + 13120 \, f - 20480 \, g\right)} \log\left(x + 2\right) + 32 \, {\left({\left(13 \, d - 16 \, e + 25 \, f - 40 \, g\right)} x^{8} - 10 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g\right)} x^{6} + 33 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g\right)} x^{4} - 40 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g\right)} x^{2} + 208 \, d - 256 \, e + 400 \, f - 640 \, g\right)} \log\left(x + 1\right) - 32 \, {\left({\left(13 \, d + 16 \, e + 25 \, f + 40 \, g\right)} x^{8} - 10 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g\right)} x^{6} + 33 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g\right)} x^{4} - 40 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g\right)} x^{2} + 208 \, d + 256 \, e + 400 \, f + 640 \, g\right)} \log\left(x - 1\right) + {\left({\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g\right)} x^{8} - 10 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g\right)} x^{6} + 33 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g\right)} x^{4} - 40 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g\right)} x^{2} + 5008 \, d + 8192 \, e + 13120 \, f + 20480 \, g\right)} \log\left(x - 2\right) - 9600 \, e - 29184 \, g}{41472 \, {\left(x^{8} - 10 \, x^{6} + 33 \, x^{4} - 40 \, x^{2} + 16\right)}}"," ",0,"1/41472*(420*(d + 4*f)*x^7 + 768*(2*e + 5*g)*x^6 - 216*(13*d + 60*f)*x^5 - 5760*(2*e + 5*g)*x^4 + 756*(5*d + 36*f)*x^3 + 11520*(2*e + 5*g)*x^2 + 48*(43*d - 260*f)*x - ((313*d - 512*e + 820*f - 1280*g)*x^8 - 10*(313*d - 512*e + 820*f - 1280*g)*x^6 + 33*(313*d - 512*e + 820*f - 1280*g)*x^4 - 40*(313*d - 512*e + 820*f - 1280*g)*x^2 + 5008*d - 8192*e + 13120*f - 20480*g)*log(x + 2) + 32*((13*d - 16*e + 25*f - 40*g)*x^8 - 10*(13*d - 16*e + 25*f - 40*g)*x^6 + 33*(13*d - 16*e + 25*f - 40*g)*x^4 - 40*(13*d - 16*e + 25*f - 40*g)*x^2 + 208*d - 256*e + 400*f - 640*g)*log(x + 1) - 32*((13*d + 16*e + 25*f + 40*g)*x^8 - 10*(13*d + 16*e + 25*f + 40*g)*x^6 + 33*(13*d + 16*e + 25*f + 40*g)*x^4 - 40*(13*d + 16*e + 25*f + 40*g)*x^2 + 208*d + 256*e + 400*f + 640*g)*log(x - 1) + ((313*d + 512*e + 820*f + 1280*g)*x^8 - 10*(313*d + 512*e + 820*f + 1280*g)*x^6 + 33*(313*d + 512*e + 820*f + 1280*g)*x^4 - 40*(313*d + 512*e + 820*f + 1280*g)*x^2 + 5008*d + 8192*e + 13120*f + 20480*g)*log(x - 2) - 9600*e - 29184*g)/(x^8 - 10*x^6 + 33*x^4 - 40*x^2 + 16)","B",0
45,1,544,0,6.781226," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x, algorithm=""fricas"")","\frac{60 \, {\left(7 \, d + 28 \, f + 64 \, h\right)} x^{7} + 768 \, {\left(2 \, e + 5 \, g\right)} x^{6} - 216 \, {\left(13 \, d + 60 \, f + 136 \, h\right)} x^{5} - 5760 \, {\left(2 \, e + 5 \, g\right)} x^{4} + 756 \, {\left(5 \, d + 36 \, f + 80 \, h\right)} x^{3} + 11520 \, {\left(2 \, e + 5 \, g\right)} x^{2} + 48 \, {\left(43 \, d - 260 \, f - 656 \, h\right)} x - {\left({\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h\right)} x^{8} - 10 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h\right)} x^{6} + 33 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h\right)} x^{4} - 40 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h\right)} x^{2} + 5008 \, d - 8192 \, e + 13120 \, f - 20480 \, g + 30976 \, h\right)} \log\left(x + 2\right) + 32 \, {\left({\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h\right)} x^{8} - 10 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h\right)} x^{6} + 33 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h\right)} x^{4} - 40 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h\right)} x^{2} + 208 \, d - 256 \, e + 400 \, f - 640 \, g + 976 \, h\right)} \log\left(x + 1\right) - 32 \, {\left({\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h\right)} x^{8} - 10 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h\right)} x^{6} + 33 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h\right)} x^{4} - 40 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h\right)} x^{2} + 208 \, d + 256 \, e + 400 \, f + 640 \, g + 976 \, h\right)} \log\left(x - 1\right) + {\left({\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h\right)} x^{8} - 10 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h\right)} x^{6} + 33 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h\right)} x^{4} - 40 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h\right)} x^{2} + 5008 \, d + 8192 \, e + 13120 \, f + 20480 \, g + 30976 \, h\right)} \log\left(x - 2\right) - 9600 \, e - 29184 \, g}{41472 \, {\left(x^{8} - 10 \, x^{6} + 33 \, x^{4} - 40 \, x^{2} + 16\right)}}"," ",0,"1/41472*(60*(7*d + 28*f + 64*h)*x^7 + 768*(2*e + 5*g)*x^6 - 216*(13*d + 60*f + 136*h)*x^5 - 5760*(2*e + 5*g)*x^4 + 756*(5*d + 36*f + 80*h)*x^3 + 11520*(2*e + 5*g)*x^2 + 48*(43*d - 260*f - 656*h)*x - ((313*d - 512*e + 820*f - 1280*g + 1936*h)*x^8 - 10*(313*d - 512*e + 820*f - 1280*g + 1936*h)*x^6 + 33*(313*d - 512*e + 820*f - 1280*g + 1936*h)*x^4 - 40*(313*d - 512*e + 820*f - 1280*g + 1936*h)*x^2 + 5008*d - 8192*e + 13120*f - 20480*g + 30976*h)*log(x + 2) + 32*((13*d - 16*e + 25*f - 40*g + 61*h)*x^8 - 10*(13*d - 16*e + 25*f - 40*g + 61*h)*x^6 + 33*(13*d - 16*e + 25*f - 40*g + 61*h)*x^4 - 40*(13*d - 16*e + 25*f - 40*g + 61*h)*x^2 + 208*d - 256*e + 400*f - 640*g + 976*h)*log(x + 1) - 32*((13*d + 16*e + 25*f + 40*g + 61*h)*x^8 - 10*(13*d + 16*e + 25*f + 40*g + 61*h)*x^6 + 33*(13*d + 16*e + 25*f + 40*g + 61*h)*x^4 - 40*(13*d + 16*e + 25*f + 40*g + 61*h)*x^2 + 208*d + 256*e + 400*f + 640*g + 976*h)*log(x - 1) + ((313*d + 512*e + 820*f + 1280*g + 1936*h)*x^8 - 10*(313*d + 512*e + 820*f + 1280*g + 1936*h)*x^6 + 33*(313*d + 512*e + 820*f + 1280*g + 1936*h)*x^4 - 40*(313*d + 512*e + 820*f + 1280*g + 1936*h)*x^2 + 5008*d + 8192*e + 13120*f + 20480*g + 30976*h)*log(x - 2) - 9600*e - 29184*g)/(x^8 - 10*x^6 + 33*x^4 - 40*x^2 + 16)","B",0
46,1,616,0,27.046165," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x, algorithm=""fricas"")","\frac{60 \, {\left(7 \, d + 28 \, f + 64 \, h\right)} x^{7} + 768 \, {\left(2 \, e + 5 \, g + 11 \, i\right)} x^{6} - 216 \, {\left(13 \, d + 60 \, f + 136 \, h\right)} x^{5} - 5760 \, {\left(2 \, e + 5 \, g + 11 \, i\right)} x^{4} + 756 \, {\left(5 \, d + 36 \, f + 80 \, h\right)} x^{3} + 2304 \, {\left(10 \, e + 25 \, g + 52 \, i\right)} x^{2} + 48 \, {\left(43 \, d - 260 \, f - 656 \, h\right)} x - {\left({\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h - 2816 \, i\right)} x^{8} - 10 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h - 2816 \, i\right)} x^{6} + 33 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h - 2816 \, i\right)} x^{4} - 40 \, {\left(313 \, d - 512 \, e + 820 \, f - 1280 \, g + 1936 \, h - 2816 \, i\right)} x^{2} + 5008 \, d - 8192 \, e + 13120 \, f - 20480 \, g + 30976 \, h - 45056 \, i\right)} \log\left(x + 2\right) + 32 \, {\left({\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h - 88 \, i\right)} x^{8} - 10 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h - 88 \, i\right)} x^{6} + 33 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h - 88 \, i\right)} x^{4} - 40 \, {\left(13 \, d - 16 \, e + 25 \, f - 40 \, g + 61 \, h - 88 \, i\right)} x^{2} + 208 \, d - 256 \, e + 400 \, f - 640 \, g + 976 \, h - 1408 \, i\right)} \log\left(x + 1\right) - 32 \, {\left({\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h + 88 \, i\right)} x^{8} - 10 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h + 88 \, i\right)} x^{6} + 33 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h + 88 \, i\right)} x^{4} - 40 \, {\left(13 \, d + 16 \, e + 25 \, f + 40 \, g + 61 \, h + 88 \, i\right)} x^{2} + 208 \, d + 256 \, e + 400 \, f + 640 \, g + 976 \, h + 1408 \, i\right)} \log\left(x - 1\right) + {\left({\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h + 2816 \, i\right)} x^{8} - 10 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h + 2816 \, i\right)} x^{6} + 33 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h + 2816 \, i\right)} x^{4} - 40 \, {\left(313 \, d + 512 \, e + 820 \, f + 1280 \, g + 1936 \, h + 2816 \, i\right)} x^{2} + 5008 \, d + 8192 \, e + 13120 \, f + 20480 \, g + 30976 \, h + 45056 \, i\right)} \log\left(x - 2\right) - 9600 \, e - 29184 \, g - 61440 \, i}{41472 \, {\left(x^{8} - 10 \, x^{6} + 33 \, x^{4} - 40 \, x^{2} + 16\right)}}"," ",0,"1/41472*(60*(7*d + 28*f + 64*h)*x^7 + 768*(2*e + 5*g + 11*i)*x^6 - 216*(13*d + 60*f + 136*h)*x^5 - 5760*(2*e + 5*g + 11*i)*x^4 + 756*(5*d + 36*f + 80*h)*x^3 + 2304*(10*e + 25*g + 52*i)*x^2 + 48*(43*d - 260*f - 656*h)*x - ((313*d - 512*e + 820*f - 1280*g + 1936*h - 2816*i)*x^8 - 10*(313*d - 512*e + 820*f - 1280*g + 1936*h - 2816*i)*x^6 + 33*(313*d - 512*e + 820*f - 1280*g + 1936*h - 2816*i)*x^4 - 40*(313*d - 512*e + 820*f - 1280*g + 1936*h - 2816*i)*x^2 + 5008*d - 8192*e + 13120*f - 20480*g + 30976*h - 45056*i)*log(x + 2) + 32*((13*d - 16*e + 25*f - 40*g + 61*h - 88*i)*x^8 - 10*(13*d - 16*e + 25*f - 40*g + 61*h - 88*i)*x^6 + 33*(13*d - 16*e + 25*f - 40*g + 61*h - 88*i)*x^4 - 40*(13*d - 16*e + 25*f - 40*g + 61*h - 88*i)*x^2 + 208*d - 256*e + 400*f - 640*g + 976*h - 1408*i)*log(x + 1) - 32*((13*d + 16*e + 25*f + 40*g + 61*h + 88*i)*x^8 - 10*(13*d + 16*e + 25*f + 40*g + 61*h + 88*i)*x^6 + 33*(13*d + 16*e + 25*f + 40*g + 61*h + 88*i)*x^4 - 40*(13*d + 16*e + 25*f + 40*g + 61*h + 88*i)*x^2 + 208*d + 256*e + 400*f + 640*g + 976*h + 1408*i)*log(x - 1) + ((313*d + 512*e + 820*f + 1280*g + 1936*h + 2816*i)*x^8 - 10*(313*d + 512*e + 820*f + 1280*g + 1936*h + 2816*i)*x^6 + 33*(313*d + 512*e + 820*f + 1280*g + 1936*h + 2816*i)*x^4 - 40*(313*d + 512*e + 820*f + 1280*g + 1936*h + 2816*i)*x^2 + 5008*d + 8192*e + 13120*f + 20480*g + 30976*h + 45056*i)*log(x - 2) - 9600*e - 29184*g - 61440*i)/(x^8 - 10*x^6 + 33*x^4 - 40*x^2 + 16)","B",0
47,1,278,0,1.062644," ","integrate((e*x+d)/(x^4+x^2+1)^3,x, algorithm=""fricas"")","-\frac{84 \, d x^{7} - 96 \, e x^{6} + 60 \, d x^{5} - 144 \, e x^{4} + 84 \, d x^{3} - 192 \, e x^{2} - 2 \, \sqrt{3} {\left({\left(13 \, d - 32 \, e\right)} x^{8} + 2 \, {\left(13 \, d - 32 \, e\right)} x^{6} + 3 \, {\left(13 \, d - 32 \, e\right)} x^{4} + 2 \, {\left(13 \, d - 32 \, e\right)} x^{2} + 13 \, d - 32 \, e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(13 \, d + 32 \, e\right)} x^{8} + 2 \, {\left(13 \, d + 32 \, e\right)} x^{6} + 3 \, {\left(13 \, d + 32 \, e\right)} x^{4} + 2 \, {\left(13 \, d + 32 \, e\right)} x^{2} + 13 \, d + 32 \, e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 48 \, d x - 81 \, {\left(d x^{8} + 2 \, d x^{6} + 3 \, d x^{4} + 2 \, d x^{2} + d\right)} \log\left(x^{2} + x + 1\right) + 81 \, {\left(d x^{8} + 2 \, d x^{6} + 3 \, d x^{4} + 2 \, d x^{2} + d\right)} \log\left(x^{2} - x + 1\right) - 72 \, e}{288 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/288*(84*d*x^7 - 96*e*x^6 + 60*d*x^5 - 144*e*x^4 + 84*d*x^3 - 192*e*x^2 - 2*sqrt(3)*((13*d - 32*e)*x^8 + 2*(13*d - 32*e)*x^6 + 3*(13*d - 32*e)*x^4 + 2*(13*d - 32*e)*x^2 + 13*d - 32*e)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((13*d + 32*e)*x^8 + 2*(13*d + 32*e)*x^6 + 3*(13*d + 32*e)*x^4 + 2*(13*d + 32*e)*x^2 + 13*d + 32*e)*arctan(1/3*sqrt(3)*(2*x - 1)) - 48*d*x - 81*(d*x^8 + 2*d*x^6 + 3*d*x^4 + 2*d*x^2 + d)*log(x^2 + x + 1) + 81*(d*x^8 + 2*d*x^6 + 3*d*x^4 + 2*d*x^2 + d)*log(x^2 - x + 1) - 72*e)/(x^8 + 2*x^6 + 3*x^4 + 2*x^2 + 1)","A",0
48,1,384,0,1.145856," ","integrate((f*x^2+e*x+d)/(x^4+x^2+1)^3,x, algorithm=""fricas"")","-\frac{84 \, {\left(d - f\right)} x^{7} - 96 \, e x^{6} + 60 \, {\left(d - 2 \, f\right)} x^{5} - 144 \, e x^{4} + 84 \, {\left(d - 2 \, f\right)} x^{3} - 192 \, e x^{2} - 2 \, \sqrt{3} {\left({\left(13 \, d - 32 \, e + 2 \, f\right)} x^{8} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f\right)} x^{6} + 3 \, {\left(13 \, d - 32 \, e + 2 \, f\right)} x^{4} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f\right)} x^{2} + 13 \, d - 32 \, e + 2 \, f\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(13 \, d + 32 \, e + 2 \, f\right)} x^{8} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f\right)} x^{6} + 3 \, {\left(13 \, d + 32 \, e + 2 \, f\right)} x^{4} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f\right)} x^{2} + 13 \, d + 32 \, e + 2 \, f\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(4 \, d + 5 \, f\right)} x - 9 \, {\left({\left(9 \, d - 4 \, f\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{2} + 9 \, d - 4 \, f\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(9 \, d - 4 \, f\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{2} + 9 \, d - 4 \, f\right)} \log\left(x^{2} - x + 1\right) - 72 \, e}{288 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/288*(84*(d - f)*x^7 - 96*e*x^6 + 60*(d - 2*f)*x^5 - 144*e*x^4 + 84*(d - 2*f)*x^3 - 192*e*x^2 - 2*sqrt(3)*((13*d - 32*e + 2*f)*x^8 + 2*(13*d - 32*e + 2*f)*x^6 + 3*(13*d - 32*e + 2*f)*x^4 + 2*(13*d - 32*e + 2*f)*x^2 + 13*d - 32*e + 2*f)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((13*d + 32*e + 2*f)*x^8 + 2*(13*d + 32*e + 2*f)*x^6 + 3*(13*d + 32*e + 2*f)*x^4 + 2*(13*d + 32*e + 2*f)*x^2 + 13*d + 32*e + 2*f)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(4*d + 5*f)*x - 9*((9*d - 4*f)*x^8 + 2*(9*d - 4*f)*x^6 + 3*(9*d - 4*f)*x^4 + 2*(9*d - 4*f)*x^2 + 9*d - 4*f)*log(x^2 + x + 1) + 9*((9*d - 4*f)*x^8 + 2*(9*d - 4*f)*x^6 + 3*(9*d - 4*f)*x^4 + 2*(9*d - 4*f)*x^2 + 9*d - 4*f)*log(x^2 - x + 1) - 72*e)/(x^8 + 2*x^6 + 3*x^4 + 2*x^2 + 1)","A",0
49,1,435,0,1.746712," ","integrate((g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^3,x, algorithm=""fricas"")","-\frac{84 \, {\left(d - f\right)} x^{7} - 48 \, {\left(2 \, e - g\right)} x^{6} + 60 \, {\left(d - 2 \, f\right)} x^{5} - 72 \, {\left(2 \, e - g\right)} x^{4} + 84 \, {\left(d - 2 \, f\right)} x^{3} - 96 \, {\left(2 \, e - g\right)} x^{2} - 2 \, \sqrt{3} {\left({\left(13 \, d - 32 \, e + 2 \, f + 16 \, g\right)} x^{8} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g\right)} x^{6} + 3 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g\right)} x^{4} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g\right)} x^{2} + 13 \, d - 32 \, e + 2 \, f + 16 \, g\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(13 \, d + 32 \, e + 2 \, f - 16 \, g\right)} x^{8} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g\right)} x^{6} + 3 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g\right)} x^{4} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g\right)} x^{2} + 13 \, d + 32 \, e + 2 \, f - 16 \, g\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(4 \, d + 5 \, f\right)} x - 9 \, {\left({\left(9 \, d - 4 \, f\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{2} + 9 \, d - 4 \, f\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(9 \, d - 4 \, f\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f\right)} x^{2} + 9 \, d - 4 \, f\right)} \log\left(x^{2} - x + 1\right) - 72 \, e + 72 \, g}{288 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/288*(84*(d - f)*x^7 - 48*(2*e - g)*x^6 + 60*(d - 2*f)*x^5 - 72*(2*e - g)*x^4 + 84*(d - 2*f)*x^3 - 96*(2*e - g)*x^2 - 2*sqrt(3)*((13*d - 32*e + 2*f + 16*g)*x^8 + 2*(13*d - 32*e + 2*f + 16*g)*x^6 + 3*(13*d - 32*e + 2*f + 16*g)*x^4 + 2*(13*d - 32*e + 2*f + 16*g)*x^2 + 13*d - 32*e + 2*f + 16*g)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((13*d + 32*e + 2*f - 16*g)*x^8 + 2*(13*d + 32*e + 2*f - 16*g)*x^6 + 3*(13*d + 32*e + 2*f - 16*g)*x^4 + 2*(13*d + 32*e + 2*f - 16*g)*x^2 + 13*d + 32*e + 2*f - 16*g)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(4*d + 5*f)*x - 9*((9*d - 4*f)*x^8 + 2*(9*d - 4*f)*x^6 + 3*(9*d - 4*f)*x^4 + 2*(9*d - 4*f)*x^2 + 9*d - 4*f)*log(x^2 + x + 1) + 9*((9*d - 4*f)*x^8 + 2*(9*d - 4*f)*x^6 + 3*(9*d - 4*f)*x^4 + 2*(9*d - 4*f)*x^2 + 9*d - 4*f)*log(x^2 - x + 1) - 72*e + 72*g)/(x^8 + 2*x^6 + 3*x^4 + 2*x^2 + 1)","A",0
50,1,485,0,5.139213," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^3,x, algorithm=""fricas"")","-\frac{12 \, {\left(7 \, d - 7 \, f + 4 \, h\right)} x^{7} - 48 \, {\left(2 \, e - g\right)} x^{6} + 60 \, {\left(d - 2 \, f + h\right)} x^{5} - 72 \, {\left(2 \, e - g\right)} x^{4} + 84 \, {\left(d - 2 \, f + h\right)} x^{3} - 96 \, {\left(2 \, e - g\right)} x^{2} - 2 \, \sqrt{3} {\left({\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h\right)} x^{8} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h\right)} x^{6} + 3 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h\right)} x^{4} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h\right)} x^{2} + 13 \, d - 32 \, e + 2 \, f + 16 \, g + h\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h\right)} x^{8} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h\right)} x^{6} + 3 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h\right)} x^{4} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h\right)} x^{2} + 13 \, d + 32 \, e + 2 \, f - 16 \, g + h\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(4 \, d + 5 \, f - 5 \, h\right)} x - 9 \, {\left({\left(9 \, d - 4 \, f + 3 \, h\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{2} + 9 \, d - 4 \, f + 3 \, h\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(9 \, d - 4 \, f + 3 \, h\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{2} + 9 \, d - 4 \, f + 3 \, h\right)} \log\left(x^{2} - x + 1\right) - 72 \, e + 72 \, g}{288 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/288*(12*(7*d - 7*f + 4*h)*x^7 - 48*(2*e - g)*x^6 + 60*(d - 2*f + h)*x^5 - 72*(2*e - g)*x^4 + 84*(d - 2*f + h)*x^3 - 96*(2*e - g)*x^2 - 2*sqrt(3)*((13*d - 32*e + 2*f + 16*g + h)*x^8 + 2*(13*d - 32*e + 2*f + 16*g + h)*x^6 + 3*(13*d - 32*e + 2*f + 16*g + h)*x^4 + 2*(13*d - 32*e + 2*f + 16*g + h)*x^2 + 13*d - 32*e + 2*f + 16*g + h)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((13*d + 32*e + 2*f - 16*g + h)*x^8 + 2*(13*d + 32*e + 2*f - 16*g + h)*x^6 + 3*(13*d + 32*e + 2*f - 16*g + h)*x^4 + 2*(13*d + 32*e + 2*f - 16*g + h)*x^2 + 13*d + 32*e + 2*f - 16*g + h)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(4*d + 5*f - 5*h)*x - 9*((9*d - 4*f + 3*h)*x^8 + 2*(9*d - 4*f + 3*h)*x^6 + 3*(9*d - 4*f + 3*h)*x^4 + 2*(9*d - 4*f + 3*h)*x^2 + 9*d - 4*f + 3*h)*log(x^2 + x + 1) + 9*((9*d - 4*f + 3*h)*x^8 + 2*(9*d - 4*f + 3*h)*x^6 + 3*(9*d - 4*f + 3*h)*x^4 + 2*(9*d - 4*f + 3*h)*x^2 + 9*d - 4*f + 3*h)*log(x^2 - x + 1) - 72*e + 72*g)/(x^8 + 2*x^6 + 3*x^4 + 2*x^2 + 1)","B",0
51,1,521,0,24.062595," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^3,x, algorithm=""fricas"")","-\frac{12 \, {\left(7 \, d - 7 \, f + 4 \, h\right)} x^{7} - 48 \, {\left(2 \, e - g + i\right)} x^{6} + 60 \, {\left(d - 2 \, f + h\right)} x^{5} - 72 \, {\left(2 \, e - g + i\right)} x^{4} + 84 \, {\left(d - 2 \, f + h\right)} x^{3} - 48 \, {\left(4 \, e - 2 \, g + i\right)} x^{2} - 2 \, \sqrt{3} {\left({\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h - 16 \, i\right)} x^{8} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h - 16 \, i\right)} x^{6} + 3 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h - 16 \, i\right)} x^{4} + 2 \, {\left(13 \, d - 32 \, e + 2 \, f + 16 \, g + h - 16 \, i\right)} x^{2} + 13 \, d - 32 \, e + 2 \, f + 16 \, g + h - 16 \, i\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left({\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h + 16 \, i\right)} x^{8} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h + 16 \, i\right)} x^{6} + 3 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h + 16 \, i\right)} x^{4} + 2 \, {\left(13 \, d + 32 \, e + 2 \, f - 16 \, g + h + 16 \, i\right)} x^{2} + 13 \, d + 32 \, e + 2 \, f - 16 \, g + h + 16 \, i\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - 12 \, {\left(4 \, d + 5 \, f - 5 \, h\right)} x - 9 \, {\left({\left(9 \, d - 4 \, f + 3 \, h\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{2} + 9 \, d - 4 \, f + 3 \, h\right)} \log\left(x^{2} + x + 1\right) + 9 \, {\left({\left(9 \, d - 4 \, f + 3 \, h\right)} x^{8} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{6} + 3 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{4} + 2 \, {\left(9 \, d - 4 \, f + 3 \, h\right)} x^{2} + 9 \, d - 4 \, f + 3 \, h\right)} \log\left(x^{2} - x + 1\right) - 72 \, e + 72 \, g - 48 \, i}{288 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/288*(12*(7*d - 7*f + 4*h)*x^7 - 48*(2*e - g + i)*x^6 + 60*(d - 2*f + h)*x^5 - 72*(2*e - g + i)*x^4 + 84*(d - 2*f + h)*x^3 - 48*(4*e - 2*g + i)*x^2 - 2*sqrt(3)*((13*d - 32*e + 2*f + 16*g + h - 16*i)*x^8 + 2*(13*d - 32*e + 2*f + 16*g + h - 16*i)*x^6 + 3*(13*d - 32*e + 2*f + 16*g + h - 16*i)*x^4 + 2*(13*d - 32*e + 2*f + 16*g + h - 16*i)*x^2 + 13*d - 32*e + 2*f + 16*g + h - 16*i)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*((13*d + 32*e + 2*f - 16*g + h + 16*i)*x^8 + 2*(13*d + 32*e + 2*f - 16*g + h + 16*i)*x^6 + 3*(13*d + 32*e + 2*f - 16*g + h + 16*i)*x^4 + 2*(13*d + 32*e + 2*f - 16*g + h + 16*i)*x^2 + 13*d + 32*e + 2*f - 16*g + h + 16*i)*arctan(1/3*sqrt(3)*(2*x - 1)) - 12*(4*d + 5*f - 5*h)*x - 9*((9*d - 4*f + 3*h)*x^8 + 2*(9*d - 4*f + 3*h)*x^6 + 3*(9*d - 4*f + 3*h)*x^4 + 2*(9*d - 4*f + 3*h)*x^2 + 9*d - 4*f + 3*h)*log(x^2 + x + 1) + 9*((9*d - 4*f + 3*h)*x^8 + 2*(9*d - 4*f + 3*h)*x^6 + 3*(9*d - 4*f + 3*h)*x^4 + 2*(9*d - 4*f + 3*h)*x^2 + 9*d - 4*f + 3*h)*log(x^2 - x + 1) - 72*e + 72*g - 48*i)/(x^8 + 2*x^6 + 3*x^4 + 2*x^2 + 1)","B",0
52,-1,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate((f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate((h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate((k*x^7+j*x^6+i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-1,0,0,0.000000," ","integrate((k*x^11+j*x^8+i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,1,463,0,1.446096," ","integrate((c*x^4+b*x^2+a)^3*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x, algorithm=""fricas"")","\frac{1}{19} x^{19} f c^{4} + \frac{1}{18} x^{18} e c^{4} + \frac{1}{17} x^{17} d c^{4} + \frac{4}{17} x^{17} f c^{3} b + \frac{1}{4} x^{16} e c^{3} b + \frac{4}{15} x^{15} d c^{3} b + \frac{2}{5} x^{15} f c^{2} b^{2} + \frac{4}{15} x^{15} f c^{3} a + \frac{3}{7} x^{14} e c^{2} b^{2} + \frac{2}{7} x^{14} e c^{3} a + \frac{6}{13} x^{13} d c^{2} b^{2} + \frac{4}{13} x^{13} f c b^{3} + \frac{4}{13} x^{13} d c^{3} a + \frac{12}{13} x^{13} f c^{2} b a + \frac{1}{3} x^{12} e c b^{3} + x^{12} e c^{2} b a + \frac{4}{11} x^{11} d c b^{3} + \frac{1}{11} x^{11} f b^{4} + \frac{12}{11} x^{11} d c^{2} b a + \frac{12}{11} x^{11} f c b^{2} a + \frac{6}{11} x^{11} f c^{2} a^{2} + \frac{1}{10} x^{10} e b^{4} + \frac{6}{5} x^{10} e c b^{2} a + \frac{3}{5} x^{10} e c^{2} a^{2} + \frac{1}{9} x^{9} d b^{4} + \frac{4}{3} x^{9} d c b^{2} a + \frac{4}{9} x^{9} f b^{3} a + \frac{2}{3} x^{9} d c^{2} a^{2} + \frac{4}{3} x^{9} f c b a^{2} + \frac{1}{2} x^{8} e b^{3} a + \frac{3}{2} x^{8} e c b a^{2} + \frac{4}{7} x^{7} d b^{3} a + \frac{12}{7} x^{7} d c b a^{2} + \frac{6}{7} x^{7} f b^{2} a^{2} + \frac{4}{7} x^{7} f c a^{3} + x^{6} e b^{2} a^{2} + \frac{2}{3} x^{6} e c a^{3} + \frac{6}{5} x^{5} d b^{2} a^{2} + \frac{4}{5} x^{5} d c a^{3} + \frac{4}{5} x^{5} f b a^{3} + x^{4} e b a^{3} + \frac{4}{3} x^{3} d b a^{3} + \frac{1}{3} x^{3} f a^{4} + \frac{1}{2} x^{2} e a^{4} + x d a^{4}"," ",0,"1/19*x^19*f*c^4 + 1/18*x^18*e*c^4 + 1/17*x^17*d*c^4 + 4/17*x^17*f*c^3*b + 1/4*x^16*e*c^3*b + 4/15*x^15*d*c^3*b + 2/5*x^15*f*c^2*b^2 + 4/15*x^15*f*c^3*a + 3/7*x^14*e*c^2*b^2 + 2/7*x^14*e*c^3*a + 6/13*x^13*d*c^2*b^2 + 4/13*x^13*f*c*b^3 + 4/13*x^13*d*c^3*a + 12/13*x^13*f*c^2*b*a + 1/3*x^12*e*c*b^3 + x^12*e*c^2*b*a + 4/11*x^11*d*c*b^3 + 1/11*x^11*f*b^4 + 12/11*x^11*d*c^2*b*a + 12/11*x^11*f*c*b^2*a + 6/11*x^11*f*c^2*a^2 + 1/10*x^10*e*b^4 + 6/5*x^10*e*c*b^2*a + 3/5*x^10*e*c^2*a^2 + 1/9*x^9*d*b^4 + 4/3*x^9*d*c*b^2*a + 4/9*x^9*f*b^3*a + 2/3*x^9*d*c^2*a^2 + 4/3*x^9*f*c*b*a^2 + 1/2*x^8*e*b^3*a + 3/2*x^8*e*c*b*a^2 + 4/7*x^7*d*b^3*a + 12/7*x^7*d*c*b*a^2 + 6/7*x^7*f*b^2*a^2 + 4/7*x^7*f*c*a^3 + x^6*e*b^2*a^2 + 2/3*x^6*e*c*a^3 + 6/5*x^5*d*b^2*a^2 + 4/5*x^5*d*c*a^3 + 4/5*x^5*f*b*a^3 + x^4*e*b*a^3 + 4/3*x^3*d*b*a^3 + 1/3*x^3*f*a^4 + 1/2*x^2*e*a^4 + x*d*a^4","A",0
61,1,285,0,1.020616," ","integrate((c*x^4+b*x^2+a)^2*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x, algorithm=""fricas"")","\frac{1}{15} x^{15} f c^{3} + \frac{1}{14} x^{14} e c^{3} + \frac{1}{13} x^{13} d c^{3} + \frac{3}{13} x^{13} f c^{2} b + \frac{1}{4} x^{12} e c^{2} b + \frac{3}{11} x^{11} d c^{2} b + \frac{3}{11} x^{11} f c b^{2} + \frac{3}{11} x^{11} f c^{2} a + \frac{3}{10} x^{10} e c b^{2} + \frac{3}{10} x^{10} e c^{2} a + \frac{1}{3} x^{9} d c b^{2} + \frac{1}{9} x^{9} f b^{3} + \frac{1}{3} x^{9} d c^{2} a + \frac{2}{3} x^{9} f c b a + \frac{1}{8} x^{8} e b^{3} + \frac{3}{4} x^{8} e c b a + \frac{1}{7} x^{7} d b^{3} + \frac{6}{7} x^{7} d c b a + \frac{3}{7} x^{7} f b^{2} a + \frac{3}{7} x^{7} f c a^{2} + \frac{1}{2} x^{6} e b^{2} a + \frac{1}{2} x^{6} e c a^{2} + \frac{3}{5} x^{5} d b^{2} a + \frac{3}{5} x^{5} d c a^{2} + \frac{3}{5} x^{5} f b a^{2} + \frac{3}{4} x^{4} e b a^{2} + x^{3} d b a^{2} + \frac{1}{3} x^{3} f a^{3} + \frac{1}{2} x^{2} e a^{3} + x d a^{3}"," ",0,"1/15*x^15*f*c^3 + 1/14*x^14*e*c^3 + 1/13*x^13*d*c^3 + 3/13*x^13*f*c^2*b + 1/4*x^12*e*c^2*b + 3/11*x^11*d*c^2*b + 3/11*x^11*f*c*b^2 + 3/11*x^11*f*c^2*a + 3/10*x^10*e*c*b^2 + 3/10*x^10*e*c^2*a + 1/3*x^9*d*c*b^2 + 1/9*x^9*f*b^3 + 1/3*x^9*d*c^2*a + 2/3*x^9*f*c*b*a + 1/8*x^8*e*b^3 + 3/4*x^8*e*c*b*a + 1/7*x^7*d*b^3 + 6/7*x^7*d*c*b*a + 3/7*x^7*f*b^2*a + 3/7*x^7*f*c*a^2 + 1/2*x^6*e*b^2*a + 1/2*x^6*e*c*a^2 + 3/5*x^5*d*b^2*a + 3/5*x^5*d*c*a^2 + 3/5*x^5*f*b*a^2 + 3/4*x^4*e*b*a^2 + x^3*d*b*a^2 + 1/3*x^3*f*a^3 + 1/2*x^2*e*a^3 + x*d*a^3","A",0
62,1,151,0,1.101561," ","integrate((c*x^4+b*x^2+a)*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x, algorithm=""fricas"")","\frac{1}{11} x^{11} f c^{2} + \frac{1}{10} x^{10} e c^{2} + \frac{1}{9} x^{9} d c^{2} + \frac{2}{9} x^{9} f c b + \frac{1}{4} x^{8} e c b + \frac{2}{7} x^{7} d c b + \frac{1}{7} x^{7} f b^{2} + \frac{2}{7} x^{7} f c a + \frac{1}{6} x^{6} e b^{2} + \frac{1}{3} x^{6} e c a + \frac{1}{5} x^{5} d b^{2} + \frac{2}{5} x^{5} d c a + \frac{2}{5} x^{5} f b a + \frac{1}{2} x^{4} e b a + \frac{2}{3} x^{3} d b a + \frac{1}{3} x^{3} f a^{2} + \frac{1}{2} x^{2} e a^{2} + x d a^{2}"," ",0,"1/11*x^11*f*c^2 + 1/10*x^10*e*c^2 + 1/9*x^9*d*c^2 + 2/9*x^9*f*c*b + 1/4*x^8*e*c*b + 2/7*x^7*d*c*b + 1/7*x^7*f*b^2 + 2/7*x^7*f*c*a + 1/6*x^6*e*b^2 + 1/3*x^6*e*c*a + 1/5*x^5*d*b^2 + 2/5*x^5*d*c*a + 2/5*x^5*f*b*a + 1/2*x^4*e*b*a + 2/3*x^3*d*b*a + 1/3*x^3*f*a^2 + 1/2*x^2*e*a^2 + x*d*a^2","A",0
63,1,16,0,0.879940," ","integrate((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{3} \, f x^{3} + \frac{1}{2} \, e x^{2} + d x"," ",0,"1/3*f*x^3 + 1/2*e*x^2 + d*x","A",0
64,-1,0,0,0.000000," ","integrate((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-1,0,0,0.000000," ","integrate((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,1,4,0,1.124183," ","integrate((x^3-2*x^2-x+2)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\log\left(x + 2\right)"," ",0,"log(x + 2)","A",0
68,1,14,0,1.378518," ","integrate((e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4),x, algorithm=""fricas"")","e x + {\left(d - 2 \, e\right)} \log\left(x + 2\right)"," ",0,"e*x + (d - 2*e)*log(x + 2)","A",0
69,1,27,0,1.221600," ","integrate((f*x^2+e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{2} \, f x^{2} + {\left(e - 2 \, f\right)} x + {\left(d - 2 \, e + 4 \, f\right)} \log\left(x + 2\right)"," ",0,"1/2*f*x^2 + (e - 2*f)*x + (d - 2*e + 4*f)*log(x + 2)","A",0
70,1,43,0,1.384720," ","integrate((x^3-2*x^2-x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{3} \, g x^{3} + \frac{1}{2} \, {\left(f - 2 \, g\right)} x^{2} + {\left(e - 2 \, f + 4 \, g\right)} x + {\left(d - 2 \, e + 4 \, f - 8 \, g\right)} \log\left(x + 2\right)"," ",0,"1/3*g*x^3 + 1/2*(f - 2*g)*x^2 + (e - 2*f + 4*g)*x + (d - 2*e + 4*f - 8*g)*log(x + 2)","A",0
71,1,62,0,1.351789," ","integrate((x^3-2*x^2-x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{4} \, h x^{4} + \frac{1}{3} \, {\left(g - 2 \, h\right)} x^{3} + \frac{1}{2} \, {\left(f - 2 \, g + 4 \, h\right)} x^{2} + {\left(e - 2 \, f + 4 \, g - 8 \, h\right)} x + {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h\right)} \log\left(x + 2\right)"," ",0,"1/4*h*x^4 + 1/3*(g - 2*h)*x^3 + 1/2*(f - 2*g + 4*h)*x^2 + (e - 2*f + 4*g - 8*h)*x + (d - 2*e + 4*f - 8*g + 16*h)*log(x + 2)","A",0
72,1,84,0,1.144970," ","integrate((x^3-2*x^2-x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{5} \, i x^{5} + \frac{1}{4} \, {\left(h - 2 \, i\right)} x^{4} + \frac{1}{3} \, {\left(g - 2 \, h + 4 \, i\right)} x^{3} + \frac{1}{2} \, {\left(f - 2 \, g + 4 \, h - 8 \, i\right)} x^{2} + {\left(e - 2 \, f + 4 \, g - 8 \, h + 16 \, i\right)} x + {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h - 32 \, i\right)} \log\left(x + 2\right)"," ",0,"1/5*i*x^5 + 1/4*(h - 2*i)*x^4 + 1/3*(g - 2*h + 4*i)*x^3 + 1/2*(f - 2*g + 4*h - 8*i)*x^2 + (e - 2*f + 4*g - 8*h + 16*i)*x + (d - 2*e + 4*f - 8*g + 16*h - 32*i)*log(x + 2)","A",0
73,1,11,0,1.224800," ","integrate((x^2-3*x+2)/(x^4-5*x^2+4),x, algorithm=""fricas"")","-\log\left(x + 2\right) + \log\left(x + 1\right)"," ",0,"-log(x + 2) + log(x + 1)","A",0
74,1,22,0,0.979082," ","integrate((e*x+d)*(x^2-3*x+2)/(x^4-5*x^2+4),x, algorithm=""fricas"")","-{\left(d - 2 \, e\right)} \log\left(x + 2\right) + {\left(d - e\right)} \log\left(x + 1\right)"," ",0,"-(d - 2*e)*log(x + 2) + (d - e)*log(x + 1)","A",0
75,1,29,0,0.851087," ","integrate((x^2-3*x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","f x - {\left(d - 2 \, e + 4 \, f\right)} \log\left(x + 2\right) + {\left(d - e + f\right)} \log\left(x + 1\right)"," ",0,"f*x - (d - 2*e + 4*f)*log(x + 2) + (d - e + f)*log(x + 1)","A",0
76,1,45,0,0.881154," ","integrate((x^2-3*x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{2} \, g x^{2} + {\left(f - 3 \, g\right)} x - {\left(d - 2 \, e + 4 \, f - 8 \, g\right)} \log\left(x + 2\right) + {\left(d - e + f - g\right)} \log\left(x + 1\right)"," ",0,"1/2*g*x^2 + (f - 3*g)*x - (d - 2*e + 4*f - 8*g)*log(x + 2) + (d - e + f - g)*log(x + 1)","A",0
77,1,62,0,0.923861," ","integrate((x^2-3*x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{3} \, h x^{3} + \frac{1}{2} \, {\left(g - 3 \, h\right)} x^{2} + {\left(f - 3 \, g + 7 \, h\right)} x - {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h\right)} \log\left(x + 2\right) + {\left(d - e + f - g + h\right)} \log\left(x + 1\right)"," ",0,"1/3*h*x^3 + 1/2*(g - 3*h)*x^2 + (f - 3*g + 7*h)*x - (d - 2*e + 4*f - 8*g + 16*h)*log(x + 2) + (d - e + f - g + h)*log(x + 1)","A",0
78,1,84,0,0.722454," ","integrate((x^2-3*x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{4} \, i x^{4} + \frac{1}{3} \, {\left(h - 3 \, i\right)} x^{3} + \frac{1}{2} \, {\left(g - 3 \, h + 7 \, i\right)} x^{2} + {\left(f - 3 \, g + 7 \, h - 15 \, i\right)} x - {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h - 32 \, i\right)} \log\left(x + 2\right) + {\left(d - e + f - g + h - i\right)} \log\left(x + 1\right)"," ",0,"1/4*i*x^4 + 1/3*(h - 3*i)*x^3 + 1/2*(g - 3*h + 7*i)*x^2 + (f - 3*g + 7*h - 15*i)*x - (d - 2*e + 4*f - 8*g + 16*h - 32*i)*log(x + 2) + (d - e + f - g + h - i)*log(x + 1)","A",0
79,1,19,0,1.201477," ","integrate((2+x)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right) + \frac{1}{3} \, \log\left(x - 2\right)"," ",0,"1/6*log(x + 1) - 1/2*log(x - 1) + 1/3*log(x - 2)","A",0
80,1,32,0,0.963503," ","integrate((2+x)*(e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(d - e\right)} \log\left(x + 1\right) - \frac{1}{2} \, {\left(d + e\right)} \log\left(x - 1\right) + \frac{1}{3} \, {\left(d + 2 \, e\right)} \log\left(x - 2\right)"," ",0,"1/6*(d - e)*log(x + 1) - 1/2*(d + e)*log(x - 1) + 1/3*(d + 2*e)*log(x - 2)","A",0
81,1,37,0,1.179208," ","integrate((2+x)*(f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(d - e + f\right)} \log\left(x + 1\right) - \frac{1}{2} \, {\left(d + e + f\right)} \log\left(x - 1\right) + \frac{1}{3} \, {\left(d + 2 \, e + 4 \, f\right)} \log\left(x - 2\right)"," ",0,"1/6*(d - e + f)*log(x + 1) - 1/2*(d + e + f)*log(x - 1) + 1/3*(d + 2*e + 4*f)*log(x - 2)","A",0
82,1,47,0,1.155838," ","integrate((2+x)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","g x + \frac{1}{6} \, {\left(d - e + f - g\right)} \log\left(x + 1\right) - \frac{1}{2} \, {\left(d + e + f + g\right)} \log\left(x - 1\right) + \frac{1}{3} \, {\left(d + 2 \, e + 4 \, f + 8 \, g\right)} \log\left(x - 2\right)"," ",0,"g*x + 1/6*(d - e + f - g)*log(x + 1) - 1/2*(d + e + f + g)*log(x - 1) + 1/3*(d + 2*e + 4*f + 8*g)*log(x - 2)","A",0
83,1,62,0,0.737293," ","integrate((2+x)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{2} \, h x^{2} + {\left(g + 2 \, h\right)} x + \frac{1}{6} \, {\left(d - e + f - g + h\right)} \log\left(x + 1\right) - \frac{1}{2} \, {\left(d + e + f + g + h\right)} \log\left(x - 1\right) + \frac{1}{3} \, {\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h\right)} \log\left(x - 2\right)"," ",0,"1/2*h*x^2 + (g + 2*h)*x + 1/6*(d - e + f - g + h)*log(x + 1) - 1/2*(d + e + f + g + h)*log(x - 1) + 1/3*(d + 2*e + 4*f + 8*g + 16*h)*log(x - 2)","A",0
84,1,82,0,1.210282," ","integrate((2+x)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x, algorithm=""fricas"")","\frac{1}{3} \, i x^{3} + \frac{1}{2} \, {\left(h + 2 \, i\right)} x^{2} + {\left(g + 2 \, h + 5 \, i\right)} x + \frac{1}{6} \, {\left(d - e + f - g + h - i\right)} \log\left(x + 1\right) - \frac{1}{2} \, {\left(d + e + f + g + h + i\right)} \log\left(x - 1\right) + \frac{1}{3} \, {\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h + 32 \, i\right)} \log\left(x - 2\right)"," ",0,"1/3*i*x^3 + 1/2*(h + 2*i)*x^2 + (g + 2*h + 5*i)*x + 1/6*(d - e + f - g + h - i)*log(x + 1) - 1/2*(d + e + f + g + h + i)*log(x - 1) + 1/3*(d + 2*e + 4*f + 8*g + 16*h + 32*i)*log(x - 2)","A",0
85,1,45,0,1.057707," ","integrate((x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{19 \, {\left(x + 2\right)} \log\left(x + 2\right) - 24 \, {\left(x + 2\right)} \log\left(x + 1\right) + 8 \, {\left(x + 2\right)} \log\left(x - 1\right) - 3 \, {\left(x + 2\right)} \log\left(x - 2\right) - 12}{144 \, {\left(x + 2\right)}}"," ",0,"-1/144*(19*(x + 2)*log(x + 2) - 24*(x + 2)*log(x + 1) + 8*(x + 2)*log(x - 1) - 3*(x + 2)*log(x - 2) - 12)/(x + 2)","A",0
86,1,93,0,1.143672," ","integrate((e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{{\left({\left(19 \, d - 26 \, e\right)} x + 38 \, d - 52 \, e\right)} \log\left(x + 2\right) - 24 \, {\left({\left(d - e\right)} x + 2 \, d - 2 \, e\right)} \log\left(x + 1\right) + 8 \, {\left({\left(d + e\right)} x + 2 \, d + 2 \, e\right)} \log\left(x - 1\right) - 3 \, {\left({\left(d + 2 \, e\right)} x + 2 \, d + 4 \, e\right)} \log\left(x - 2\right) - 12 \, d + 24 \, e}{144 \, {\left(x + 2\right)}}"," ",0,"-1/144*(((19*d - 26*e)*x + 38*d - 52*e)*log(x + 2) - 24*((d - e)*x + 2*d - 2*e)*log(x + 1) + 8*((d + e)*x + 2*d + 2*e)*log(x - 1) - 3*((d + 2*e)*x + 2*d + 4*e)*log(x - 2) - 12*d + 24*e)/(x + 2)","A",0
87,1,116,0,1.182517," ","integrate((f*x^2+e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{{\left({\left(19 \, d - 26 \, e + 28 \, f\right)} x + 38 \, d - 52 \, e + 56 \, f\right)} \log\left(x + 2\right) - 24 \, {\left({\left(d - e + f\right)} x + 2 \, d - 2 \, e + 2 \, f\right)} \log\left(x + 1\right) + 8 \, {\left({\left(d + e + f\right)} x + 2 \, d + 2 \, e + 2 \, f\right)} \log\left(x - 1\right) - 3 \, {\left({\left(d + 2 \, e + 4 \, f\right)} x + 2 \, d + 4 \, e + 8 \, f\right)} \log\left(x - 2\right) - 12 \, d + 24 \, e - 48 \, f}{144 \, {\left(x + 2\right)}}"," ",0,"-1/144*(((19*d - 26*e + 28*f)*x + 38*d - 52*e + 56*f)*log(x + 2) - 24*((d - e + f)*x + 2*d - 2*e + 2*f)*log(x + 1) + 8*((d + e + f)*x + 2*d + 2*e + 2*f)*log(x - 1) - 3*((d + 2*e + 4*f)*x + 2*d + 4*e + 8*f)*log(x - 2) - 12*d + 24*e - 48*f)/(x + 2)","A",0
88,1,141,0,2.738525," ","integrate((x^3-2*x^2-x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{{\left({\left(19 \, d - 26 \, e + 28 \, f - 8 \, g\right)} x + 38 \, d - 52 \, e + 56 \, f - 16 \, g\right)} \log\left(x + 2\right) - 24 \, {\left({\left(d - e + f - g\right)} x + 2 \, d - 2 \, e + 2 \, f - 2 \, g\right)} \log\left(x + 1\right) + 8 \, {\left({\left(d + e + f + g\right)} x + 2 \, d + 2 \, e + 2 \, f + 2 \, g\right)} \log\left(x - 1\right) - 3 \, {\left({\left(d + 2 \, e + 4 \, f + 8 \, g\right)} x + 2 \, d + 4 \, e + 8 \, f + 16 \, g\right)} \log\left(x - 2\right) - 12 \, d + 24 \, e - 48 \, f + 96 \, g}{144 \, {\left(x + 2\right)}}"," ",0,"-1/144*(((19*d - 26*e + 28*f - 8*g)*x + 38*d - 52*e + 56*f - 16*g)*log(x + 2) - 24*((d - e + f - g)*x + 2*d - 2*e + 2*f - 2*g)*log(x + 1) + 8*((d + e + f + g)*x + 2*d + 2*e + 2*f + 2*g)*log(x - 1) - 3*((d + 2*e + 4*f + 8*g)*x + 2*d + 4*e + 8*f + 16*g)*log(x - 2) - 12*d + 24*e - 48*f + 96*g)/(x + 2)","A",0
89,1,164,0,14.095479," ","integrate((x^3-2*x^2-x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{{\left({\left(19 \, d - 26 \, e + 28 \, f - 8 \, g - 80 \, h\right)} x + 38 \, d - 52 \, e + 56 \, f - 16 \, g - 160 \, h\right)} \log\left(x + 2\right) - 24 \, {\left({\left(d - e + f - g + h\right)} x + 2 \, d - 2 \, e + 2 \, f - 2 \, g + 2 \, h\right)} \log\left(x + 1\right) + 8 \, {\left({\left(d + e + f + g + h\right)} x + 2 \, d + 2 \, e + 2 \, f + 2 \, g + 2 \, h\right)} \log\left(x - 1\right) - 3 \, {\left({\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h\right)} x + 2 \, d + 4 \, e + 8 \, f + 16 \, g + 32 \, h\right)} \log\left(x - 2\right) - 12 \, d + 24 \, e - 48 \, f + 96 \, g - 192 \, h}{144 \, {\left(x + 2\right)}}"," ",0,"-1/144*(((19*d - 26*e + 28*f - 8*g - 80*h)*x + 38*d - 52*e + 56*f - 16*g - 160*h)*log(x + 2) - 24*((d - e + f - g + h)*x + 2*d - 2*e + 2*f - 2*g + 2*h)*log(x + 1) + 8*((d + e + f + g + h)*x + 2*d + 2*e + 2*f + 2*g + 2*h)*log(x - 1) - 3*((d + 2*e + 4*f + 8*g + 16*h)*x + 2*d + 4*e + 8*f + 16*g + 32*h)*log(x - 2) - 12*d + 24*e - 48*f + 96*g - 192*h)/(x + 2)","A",0
90,1,200,0,83.278163," ","integrate((x^3-2*x^2-x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","\frac{144 \, i x^{2} + 288 \, i x - {\left({\left(19 \, d - 26 \, e + 28 \, f - 8 \, g - 80 \, h + 352 \, i\right)} x + 38 \, d - 52 \, e + 56 \, f - 16 \, g - 160 \, h + 704 \, i\right)} \log\left(x + 2\right) + 24 \, {\left({\left(d - e + f - g + h - i\right)} x + 2 \, d - 2 \, e + 2 \, f - 2 \, g + 2 \, h - 2 \, i\right)} \log\left(x + 1\right) - 8 \, {\left({\left(d + e + f + g + h + i\right)} x + 2 \, d + 2 \, e + 2 \, f + 2 \, g + 2 \, h + 2 \, i\right)} \log\left(x - 1\right) + 3 \, {\left({\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h + 32 \, i\right)} x + 2 \, d + 4 \, e + 8 \, f + 16 \, g + 32 \, h + 64 \, i\right)} \log\left(x - 2\right) + 12 \, d - 24 \, e + 48 \, f - 96 \, g + 192 \, h - 384 \, i}{144 \, {\left(x + 2\right)}}"," ",0,"1/144*(144*i*x^2 + 288*i*x - ((19*d - 26*e + 28*f - 8*g - 80*h + 352*i)*x + 38*d - 52*e + 56*f - 16*g - 160*h + 704*i)*log(x + 2) + 24*((d - e + f - g + h - i)*x + 2*d - 2*e + 2*f - 2*g + 2*h - 2*i)*log(x + 1) - 8*((d + e + f + g + h + i)*x + 2*d + 2*e + 2*f + 2*g + 2*h + 2*i)*log(x - 1) + 3*((d + 2*e + 4*f + 8*g + 16*h + 32*i)*x + 2*d + 4*e + 8*f + 16*g + 32*h + 64*i)*log(x - 2) + 12*d - 24*e + 48*f - 96*g + 192*h - 384*i)/(x + 2)","A",0
91,1,72,0,0.945778," ","integrate((x^2-3*x+2)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","\frac{31 \, {\left(x^{2} + 3 \, x + 2\right)} \log\left(x + 2\right) - 28 \, {\left(x^{2} + 3 \, x + 2\right)} \log\left(x + 1\right) - 4 \, {\left(x^{2} + 3 \, x + 2\right)} \log\left(x - 1\right) + {\left(x^{2} + 3 \, x + 2\right)} \log\left(x - 2\right) - 36 \, x - 60}{144 \, {\left(x^{2} + 3 \, x + 2\right)}}"," ",0,"1/144*(31*(x^2 + 3*x + 2)*log(x + 2) - 28*(x^2 + 3*x + 2)*log(x + 1) - 4*(x^2 + 3*x + 2)*log(x - 1) + (x^2 + 3*x + 2)*log(x - 2) - 36*x - 60)/(x^2 + 3*x + 2)","A",0
92,1,153,0,0.937688," ","integrate((e*x+d)*(x^2-3*x+2)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(3 \, d - 4 \, e\right)} x - {\left({\left(31 \, d - 50 \, e\right)} x^{2} + 3 \, {\left(31 \, d - 50 \, e\right)} x + 62 \, d - 100 \, e\right)} \log\left(x + 2\right) + 4 \, {\left({\left(7 \, d - 13 \, e\right)} x^{2} + 3 \, {\left(7 \, d - 13 \, e\right)} x + 14 \, d - 26 \, e\right)} \log\left(x + 1\right) + 4 \, {\left({\left(d + e\right)} x^{2} + 3 \, {\left(d + e\right)} x + 2 \, d + 2 \, e\right)} \log\left(x - 1\right) - {\left({\left(d + 2 \, e\right)} x^{2} + 3 \, {\left(d + 2 \, e\right)} x + 2 \, d + 4 \, e\right)} \log\left(x - 2\right) + 60 \, d - 72 \, e}{144 \, {\left(x^{2} + 3 \, x + 2\right)}}"," ",0,"-1/144*(12*(3*d - 4*e)*x - ((31*d - 50*e)*x^2 + 3*(31*d - 50*e)*x + 62*d - 100*e)*log(x + 2) + 4*((7*d - 13*e)*x^2 + 3*(7*d - 13*e)*x + 14*d - 26*e)*log(x + 1) + 4*((d + e)*x^2 + 3*(d + e)*x + 2*d + 2*e)*log(x - 1) - ((d + 2*e)*x^2 + 3*(d + 2*e)*x + 2*d + 4*e)*log(x - 2) + 60*d - 72*e)/(x^2 + 3*x + 2)","A",0
93,1,191,0,1.284842," ","integrate((x^2-3*x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(3 \, d - 4 \, e + 6 \, f\right)} x - {\left({\left(31 \, d - 50 \, e + 76 \, f\right)} x^{2} + 3 \, {\left(31 \, d - 50 \, e + 76 \, f\right)} x + 62 \, d - 100 \, e + 152 \, f\right)} \log\left(x + 2\right) + 4 \, {\left({\left(7 \, d - 13 \, e + 19 \, f\right)} x^{2} + 3 \, {\left(7 \, d - 13 \, e + 19 \, f\right)} x + 14 \, d - 26 \, e + 38 \, f\right)} \log\left(x + 1\right) + 4 \, {\left({\left(d + e + f\right)} x^{2} + 3 \, {\left(d + e + f\right)} x + 2 \, d + 2 \, e + 2 \, f\right)} \log\left(x - 1\right) - {\left({\left(d + 2 \, e + 4 \, f\right)} x^{2} + 3 \, {\left(d + 2 \, e + 4 \, f\right)} x + 2 \, d + 4 \, e + 8 \, f\right)} \log\left(x - 2\right) + 60 \, d - 72 \, e + 96 \, f}{144 \, {\left(x^{2} + 3 \, x + 2\right)}}"," ",0,"-1/144*(12*(3*d - 4*e + 6*f)*x - ((31*d - 50*e + 76*f)*x^2 + 3*(31*d - 50*e + 76*f)*x + 62*d - 100*e + 152*f)*log(x + 2) + 4*((7*d - 13*e + 19*f)*x^2 + 3*(7*d - 13*e + 19*f)*x + 14*d - 26*e + 38*f)*log(x + 1) + 4*((d + e + f)*x^2 + 3*(d + e + f)*x + 2*d + 2*e + 2*f)*log(x - 1) - ((d + 2*e + 4*f)*x^2 + 3*(d + 2*e + 4*f)*x + 2*d + 4*e + 8*f)*log(x - 2) + 60*d - 72*e + 96*f)/(x^2 + 3*x + 2)","B",0
94,1,229,0,3.200356," ","integrate((x^2-3*x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(3 \, d - 4 \, e + 6 \, f - 10 \, g\right)} x - {\left({\left(31 \, d - 50 \, e + 76 \, f - 104 \, g\right)} x^{2} + 3 \, {\left(31 \, d - 50 \, e + 76 \, f - 104 \, g\right)} x + 62 \, d - 100 \, e + 152 \, f - 208 \, g\right)} \log\left(x + 2\right) + 4 \, {\left({\left(7 \, d - 13 \, e + 19 \, f - 25 \, g\right)} x^{2} + 3 \, {\left(7 \, d - 13 \, e + 19 \, f - 25 \, g\right)} x + 14 \, d - 26 \, e + 38 \, f - 50 \, g\right)} \log\left(x + 1\right) + 4 \, {\left({\left(d + e + f + g\right)} x^{2} + 3 \, {\left(d + e + f + g\right)} x + 2 \, d + 2 \, e + 2 \, f + 2 \, g\right)} \log\left(x - 1\right) - {\left({\left(d + 2 \, e + 4 \, f + 8 \, g\right)} x^{2} + 3 \, {\left(d + 2 \, e + 4 \, f + 8 \, g\right)} x + 2 \, d + 4 \, e + 8 \, f + 16 \, g\right)} \log\left(x - 2\right) + 60 \, d - 72 \, e + 96 \, f - 144 \, g}{144 \, {\left(x^{2} + 3 \, x + 2\right)}}"," ",0,"-1/144*(12*(3*d - 4*e + 6*f - 10*g)*x - ((31*d - 50*e + 76*f - 104*g)*x^2 + 3*(31*d - 50*e + 76*f - 104*g)*x + 62*d - 100*e + 152*f - 208*g)*log(x + 2) + 4*((7*d - 13*e + 19*f - 25*g)*x^2 + 3*(7*d - 13*e + 19*f - 25*g)*x + 14*d - 26*e + 38*f - 50*g)*log(x + 1) + 4*((d + e + f + g)*x^2 + 3*(d + e + f + g)*x + 2*d + 2*e + 2*f + 2*g)*log(x - 1) - ((d + 2*e + 4*f + 8*g)*x^2 + 3*(d + 2*e + 4*f + 8*g)*x + 2*d + 4*e + 8*f + 16*g)*log(x - 2) + 60*d - 72*e + 96*f - 144*g)/(x^2 + 3*x + 2)","B",0
95,1,267,0,14.850229," ","integrate((x^2-3*x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(3 \, d - 4 \, e + 6 \, f - 10 \, g + 18 \, h\right)} x - {\left({\left(31 \, d - 50 \, e + 76 \, f - 104 \, g + 112 \, h\right)} x^{2} + 3 \, {\left(31 \, d - 50 \, e + 76 \, f - 104 \, g + 112 \, h\right)} x + 62 \, d - 100 \, e + 152 \, f - 208 \, g + 224 \, h\right)} \log\left(x + 2\right) + 4 \, {\left({\left(7 \, d - 13 \, e + 19 \, f - 25 \, g + 31 \, h\right)} x^{2} + 3 \, {\left(7 \, d - 13 \, e + 19 \, f - 25 \, g + 31 \, h\right)} x + 14 \, d - 26 \, e + 38 \, f - 50 \, g + 62 \, h\right)} \log\left(x + 1\right) + 4 \, {\left({\left(d + e + f + g + h\right)} x^{2} + 3 \, {\left(d + e + f + g + h\right)} x + 2 \, d + 2 \, e + 2 \, f + 2 \, g + 2 \, h\right)} \log\left(x - 1\right) - {\left({\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h\right)} x^{2} + 3 \, {\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h\right)} x + 2 \, d + 4 \, e + 8 \, f + 16 \, g + 32 \, h\right)} \log\left(x - 2\right) + 60 \, d - 72 \, e + 96 \, f - 144 \, g + 240 \, h}{144 \, {\left(x^{2} + 3 \, x + 2\right)}}"," ",0,"-1/144*(12*(3*d - 4*e + 6*f - 10*g + 18*h)*x - ((31*d - 50*e + 76*f - 104*g + 112*h)*x^2 + 3*(31*d - 50*e + 76*f - 104*g + 112*h)*x + 62*d - 100*e + 152*f - 208*g + 224*h)*log(x + 2) + 4*((7*d - 13*e + 19*f - 25*g + 31*h)*x^2 + 3*(7*d - 13*e + 19*f - 25*g + 31*h)*x + 14*d - 26*e + 38*f - 50*g + 62*h)*log(x + 1) + 4*((d + e + f + g + h)*x^2 + 3*(d + e + f + g + h)*x + 2*d + 2*e + 2*f + 2*g + 2*h)*log(x - 1) - ((d + 2*e + 4*f + 8*g + 16*h)*x^2 + 3*(d + 2*e + 4*f + 8*g + 16*h)*x + 2*d + 4*e + 8*f + 16*g + 32*h)*log(x - 2) + 60*d - 72*e + 96*f - 144*g + 240*h)/(x^2 + 3*x + 2)","B",0
96,1,305,0,104.667968," ","integrate((x^2-3*x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(3 \, d - 4 \, e + 6 \, f - 10 \, g + 18 \, h - 34 \, i\right)} x - {\left({\left(31 \, d - 50 \, e + 76 \, f - 104 \, g + 112 \, h - 32 \, i\right)} x^{2} + 3 \, {\left(31 \, d - 50 \, e + 76 \, f - 104 \, g + 112 \, h - 32 \, i\right)} x + 62 \, d - 100 \, e + 152 \, f - 208 \, g + 224 \, h - 64 \, i\right)} \log\left(x + 2\right) + 4 \, {\left({\left(7 \, d - 13 \, e + 19 \, f - 25 \, g + 31 \, h - 37 \, i\right)} x^{2} + 3 \, {\left(7 \, d - 13 \, e + 19 \, f - 25 \, g + 31 \, h - 37 \, i\right)} x + 14 \, d - 26 \, e + 38 \, f - 50 \, g + 62 \, h - 74 \, i\right)} \log\left(x + 1\right) + 4 \, {\left({\left(d + e + f + g + h + i\right)} x^{2} + 3 \, {\left(d + e + f + g + h + i\right)} x + 2 \, d + 2 \, e + 2 \, f + 2 \, g + 2 \, h + 2 \, i\right)} \log\left(x - 1\right) - {\left({\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h + 32 \, i\right)} x^{2} + 3 \, {\left(d + 2 \, e + 4 \, f + 8 \, g + 16 \, h + 32 \, i\right)} x + 2 \, d + 4 \, e + 8 \, f + 16 \, g + 32 \, h + 64 \, i\right)} \log\left(x - 2\right) + 60 \, d - 72 \, e + 96 \, f - 144 \, g + 240 \, h - 432 \, i}{144 \, {\left(x^{2} + 3 \, x + 2\right)}}"," ",0,"-1/144*(12*(3*d - 4*e + 6*f - 10*g + 18*h - 34*i)*x - ((31*d - 50*e + 76*f - 104*g + 112*h - 32*i)*x^2 + 3*(31*d - 50*e + 76*f - 104*g + 112*h - 32*i)*x + 62*d - 100*e + 152*f - 208*g + 224*h - 64*i)*log(x + 2) + 4*((7*d - 13*e + 19*f - 25*g + 31*h - 37*i)*x^2 + 3*(7*d - 13*e + 19*f - 25*g + 31*h - 37*i)*x + 14*d - 26*e + 38*f - 50*g + 62*h - 74*i)*log(x + 1) + 4*((d + e + f + g + h + i)*x^2 + 3*(d + e + f + g + h + i)*x + 2*d + 2*e + 2*f + 2*g + 2*h + 2*i)*log(x - 1) - ((d + 2*e + 4*f + 8*g + 16*h + 32*i)*x^2 + 3*(d + 2*e + 4*f + 8*g + 16*h + 32*i)*x + 2*d + 4*e + 8*f + 16*g + 32*h + 64*i)*log(x - 2) + 60*d - 72*e + 96*f - 144*g + 240*h - 432*i)/(x^2 + 3*x + 2)","B",0
97,1,103,0,1.031042," ","integrate((2+x)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{60 \, x^{2} - 3 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)} \log\left(x + 2\right) - 8 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)} \log\left(x + 1\right) - 24 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)} \log\left(x - 1\right) + 35 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)} \log\left(x - 2\right) - 72 \, x - 60}{432 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)}}"," ",0,"-1/432*(60*x^2 - 3*(x^3 - 2*x^2 - x + 2)*log(x + 2) - 8*(x^3 - 2*x^2 - x + 2)*log(x + 1) - 24*(x^3 - 2*x^2 - x + 2)*log(x - 1) + 35*(x^3 - 2*x^2 - x + 2)*log(x - 2) - 72*x - 60)/(x^3 - 2*x^2 - x + 2)","B",0
98,1,211,0,1.291022," ","integrate((2+x)*(e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 4 \, e\right)} x^{2} - 72 \, d x - 3 \, {\left({\left(d - 2 \, e\right)} x^{3} - 2 \, {\left(d - 2 \, e\right)} x^{2} - {\left(d - 2 \, e\right)} x + 2 \, d - 4 \, e\right)} \log\left(x + 2\right) - 4 \, {\left({\left(2 \, d + e\right)} x^{3} - 2 \, {\left(2 \, d + e\right)} x^{2} - {\left(2 \, d + e\right)} x + 4 \, d + 2 \, e\right)} \log\left(x + 1\right) - 12 \, {\left({\left(2 \, d + 5 \, e\right)} x^{3} - 2 \, {\left(2 \, d + 5 \, e\right)} x^{2} - {\left(2 \, d + 5 \, e\right)} x + 4 \, d + 10 \, e\right)} \log\left(x - 1\right) + {\left({\left(35 \, d + 58 \, e\right)} x^{3} - 2 \, {\left(35 \, d + 58 \, e\right)} x^{2} - {\left(35 \, d + 58 \, e\right)} x + 70 \, d + 116 \, e\right)} \log\left(x - 2\right) - 60 \, d - 120 \, e}{432 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)}}"," ",0,"-1/432*(12*(5*d + 4*e)*x^2 - 72*d*x - 3*((d - 2*e)*x^3 - 2*(d - 2*e)*x^2 - (d - 2*e)*x + 2*d - 4*e)*log(x + 2) - 4*((2*d + e)*x^3 - 2*(2*d + e)*x^2 - (2*d + e)*x + 4*d + 2*e)*log(x + 1) - 12*((2*d + 5*e)*x^3 - 2*(2*d + 5*e)*x^2 - (2*d + 5*e)*x + 4*d + 10*e)*log(x - 1) + ((35*d + 58*e)*x^3 - 2*(35*d + 58*e)*x^2 - (35*d + 58*e)*x + 70*d + 116*e)*log(x - 2) - 60*d - 120*e)/(x^3 - 2*x^2 - x + 2)","B",0
99,1,267,0,1.318585," ","integrate((2+x)*(f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 4 \, e + 8 \, f\right)} x^{2} - 72 \, {\left(d + f\right)} x - 3 \, {\left({\left(d - 2 \, e + 4 \, f\right)} x^{3} - 2 \, {\left(d - 2 \, e + 4 \, f\right)} x^{2} - {\left(d - 2 \, e + 4 \, f\right)} x + 2 \, d - 4 \, e + 8 \, f\right)} \log\left(x + 2\right) - 4 \, {\left({\left(2 \, d + e - 4 \, f\right)} x^{3} - 2 \, {\left(2 \, d + e - 4 \, f\right)} x^{2} - {\left(2 \, d + e - 4 \, f\right)} x + 4 \, d + 2 \, e - 8 \, f\right)} \log\left(x + 1\right) - 12 \, {\left({\left(2 \, d + 5 \, e + 8 \, f\right)} x^{3} - 2 \, {\left(2 \, d + 5 \, e + 8 \, f\right)} x^{2} - {\left(2 \, d + 5 \, e + 8 \, f\right)} x + 4 \, d + 10 \, e + 16 \, f\right)} \log\left(x - 1\right) + {\left({\left(35 \, d + 58 \, e + 92 \, f\right)} x^{3} - 2 \, {\left(35 \, d + 58 \, e + 92 \, f\right)} x^{2} - {\left(35 \, d + 58 \, e + 92 \, f\right)} x + 70 \, d + 116 \, e + 184 \, f\right)} \log\left(x - 2\right) - 60 \, d - 120 \, e - 96 \, f}{432 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)}}"," ",0,"-1/432*(12*(5*d + 4*e + 8*f)*x^2 - 72*(d + f)*x - 3*((d - 2*e + 4*f)*x^3 - 2*(d - 2*e + 4*f)*x^2 - (d - 2*e + 4*f)*x + 2*d - 4*e + 8*f)*log(x + 2) - 4*((2*d + e - 4*f)*x^3 - 2*(2*d + e - 4*f)*x^2 - (2*d + e - 4*f)*x + 4*d + 2*e - 8*f)*log(x + 1) - 12*((2*d + 5*e + 8*f)*x^3 - 2*(2*d + 5*e + 8*f)*x^2 - (2*d + 5*e + 8*f)*x + 4*d + 10*e + 16*f)*log(x - 1) + ((35*d + 58*e + 92*f)*x^3 - 2*(35*d + 58*e + 92*f)*x^2 - (35*d + 58*e + 92*f)*x + 70*d + 116*e + 184*f)*log(x - 2) - 60*d - 120*e - 96*f)/(x^3 - 2*x^2 - x + 2)","B",0
100,1,321,0,3.677730," ","integrate((2+x)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 4 \, e + 8 \, f + 10 \, g\right)} x^{2} - 72 \, {\left(d + f\right)} x - 3 \, {\left({\left(d - 2 \, e + 4 \, f - 8 \, g\right)} x^{3} - 2 \, {\left(d - 2 \, e + 4 \, f - 8 \, g\right)} x^{2} - {\left(d - 2 \, e + 4 \, f - 8 \, g\right)} x + 2 \, d - 4 \, e + 8 \, f - 16 \, g\right)} \log\left(x + 2\right) - 4 \, {\left({\left(2 \, d + e - 4 \, f + 7 \, g\right)} x^{3} - 2 \, {\left(2 \, d + e - 4 \, f + 7 \, g\right)} x^{2} - {\left(2 \, d + e - 4 \, f + 7 \, g\right)} x + 4 \, d + 2 \, e - 8 \, f + 14 \, g\right)} \log\left(x + 1\right) - 12 \, {\left({\left(2 \, d + 5 \, e + 8 \, f + 11 \, g\right)} x^{3} - 2 \, {\left(2 \, d + 5 \, e + 8 \, f + 11 \, g\right)} x^{2} - {\left(2 \, d + 5 \, e + 8 \, f + 11 \, g\right)} x + 4 \, d + 10 \, e + 16 \, f + 22 \, g\right)} \log\left(x - 1\right) + {\left({\left(35 \, d + 58 \, e + 92 \, f + 136 \, g\right)} x^{3} - 2 \, {\left(35 \, d + 58 \, e + 92 \, f + 136 \, g\right)} x^{2} - {\left(35 \, d + 58 \, e + 92 \, f + 136 \, g\right)} x + 70 \, d + 116 \, e + 184 \, f + 272 \, g\right)} \log\left(x - 2\right) - 60 \, d - 120 \, e - 96 \, f - 192 \, g}{432 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)}}"," ",0,"-1/432*(12*(5*d + 4*e + 8*f + 10*g)*x^2 - 72*(d + f)*x - 3*((d - 2*e + 4*f - 8*g)*x^3 - 2*(d - 2*e + 4*f - 8*g)*x^2 - (d - 2*e + 4*f - 8*g)*x + 2*d - 4*e + 8*f - 16*g)*log(x + 2) - 4*((2*d + e - 4*f + 7*g)*x^3 - 2*(2*d + e - 4*f + 7*g)*x^2 - (2*d + e - 4*f + 7*g)*x + 4*d + 2*e - 8*f + 14*g)*log(x + 1) - 12*((2*d + 5*e + 8*f + 11*g)*x^3 - 2*(2*d + 5*e + 8*f + 11*g)*x^2 - (2*d + 5*e + 8*f + 11*g)*x + 4*d + 10*e + 16*f + 22*g)*log(x - 1) + ((35*d + 58*e + 92*f + 136*g)*x^3 - 2*(35*d + 58*e + 92*f + 136*g)*x^2 - (35*d + 58*e + 92*f + 136*g)*x + 70*d + 116*e + 184*f + 272*g)*log(x - 2) - 60*d - 120*e - 96*f - 192*g)/(x^3 - 2*x^2 - x + 2)","B",0
101,1,376,0,18.483146," ","integrate((2+x)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 4 \, e + 8 \, f + 10 \, g + 20 \, h\right)} x^{2} - 72 \, {\left(d + f + h\right)} x - 3 \, {\left({\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h\right)} x^{3} - 2 \, {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h\right)} x^{2} - {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h\right)} x + 2 \, d - 4 \, e + 8 \, f - 16 \, g + 32 \, h\right)} \log\left(x + 2\right) - 4 \, {\left({\left(2 \, d + e - 4 \, f + 7 \, g - 10 \, h\right)} x^{3} - 2 \, {\left(2 \, d + e - 4 \, f + 7 \, g - 10 \, h\right)} x^{2} - {\left(2 \, d + e - 4 \, f + 7 \, g - 10 \, h\right)} x + 4 \, d + 2 \, e - 8 \, f + 14 \, g - 20 \, h\right)} \log\left(x + 1\right) - 12 \, {\left({\left(2 \, d + 5 \, e + 8 \, f + 11 \, g + 14 \, h\right)} x^{3} - 2 \, {\left(2 \, d + 5 \, e + 8 \, f + 11 \, g + 14 \, h\right)} x^{2} - {\left(2 \, d + 5 \, e + 8 \, f + 11 \, g + 14 \, h\right)} x + 4 \, d + 10 \, e + 16 \, f + 22 \, g + 28 \, h\right)} \log\left(x - 1\right) + {\left({\left(35 \, d + 58 \, e + 92 \, f + 136 \, g + 176 \, h\right)} x^{3} - 2 \, {\left(35 \, d + 58 \, e + 92 \, f + 136 \, g + 176 \, h\right)} x^{2} - {\left(35 \, d + 58 \, e + 92 \, f + 136 \, g + 176 \, h\right)} x + 70 \, d + 116 \, e + 184 \, f + 272 \, g + 352 \, h\right)} \log\left(x - 2\right) - 60 \, d - 120 \, e - 96 \, f - 192 \, g - 240 \, h}{432 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)}}"," ",0,"-1/432*(12*(5*d + 4*e + 8*f + 10*g + 20*h)*x^2 - 72*(d + f + h)*x - 3*((d - 2*e + 4*f - 8*g + 16*h)*x^3 - 2*(d - 2*e + 4*f - 8*g + 16*h)*x^2 - (d - 2*e + 4*f - 8*g + 16*h)*x + 2*d - 4*e + 8*f - 16*g + 32*h)*log(x + 2) - 4*((2*d + e - 4*f + 7*g - 10*h)*x^3 - 2*(2*d + e - 4*f + 7*g - 10*h)*x^2 - (2*d + e - 4*f + 7*g - 10*h)*x + 4*d + 2*e - 8*f + 14*g - 20*h)*log(x + 1) - 12*((2*d + 5*e + 8*f + 11*g + 14*h)*x^3 - 2*(2*d + 5*e + 8*f + 11*g + 14*h)*x^2 - (2*d + 5*e + 8*f + 11*g + 14*h)*x + 4*d + 10*e + 16*f + 22*g + 28*h)*log(x - 1) + ((35*d + 58*e + 92*f + 136*g + 176*h)*x^3 - 2*(35*d + 58*e + 92*f + 136*g + 176*h)*x^2 - (35*d + 58*e + 92*f + 136*g + 176*h)*x + 70*d + 116*e + 184*f + 272*g + 352*h)*log(x - 2) - 60*d - 120*e - 96*f - 192*g - 240*h)/(x^3 - 2*x^2 - x + 2)","B",0
102,1,430,0,104.723813," ","integrate((2+x)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(5 \, d + 4 \, e + 8 \, f + 10 \, g + 20 \, h + 34 \, i\right)} x^{2} - 72 \, {\left(d + f + h\right)} x - 3 \, {\left({\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h - 32 \, i\right)} x^{3} - 2 \, {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h - 32 \, i\right)} x^{2} - {\left(d - 2 \, e + 4 \, f - 8 \, g + 16 \, h - 32 \, i\right)} x + 2 \, d - 4 \, e + 8 \, f - 16 \, g + 32 \, h - 64 \, i\right)} \log\left(x + 2\right) - 4 \, {\left({\left(2 \, d + e - 4 \, f + 7 \, g - 10 \, h + 13 \, i\right)} x^{3} - 2 \, {\left(2 \, d + e - 4 \, f + 7 \, g - 10 \, h + 13 \, i\right)} x^{2} - {\left(2 \, d + e - 4 \, f + 7 \, g - 10 \, h + 13 \, i\right)} x + 4 \, d + 2 \, e - 8 \, f + 14 \, g - 20 \, h + 26 \, i\right)} \log\left(x + 1\right) - 12 \, {\left({\left(2 \, d + 5 \, e + 8 \, f + 11 \, g + 14 \, h + 17 \, i\right)} x^{3} - 2 \, {\left(2 \, d + 5 \, e + 8 \, f + 11 \, g + 14 \, h + 17 \, i\right)} x^{2} - {\left(2 \, d + 5 \, e + 8 \, f + 11 \, g + 14 \, h + 17 \, i\right)} x + 4 \, d + 10 \, e + 16 \, f + 22 \, g + 28 \, h + 34 \, i\right)} \log\left(x - 1\right) + {\left({\left(35 \, d + 58 \, e + 92 \, f + 136 \, g + 176 \, h + 160 \, i\right)} x^{3} - 2 \, {\left(35 \, d + 58 \, e + 92 \, f + 136 \, g + 176 \, h + 160 \, i\right)} x^{2} - {\left(35 \, d + 58 \, e + 92 \, f + 136 \, g + 176 \, h + 160 \, i\right)} x + 70 \, d + 116 \, e + 184 \, f + 272 \, g + 352 \, h + 320 \, i\right)} \log\left(x - 2\right) - 60 \, d - 120 \, e - 96 \, f - 192 \, g - 240 \, h - 480 \, i}{432 \, {\left(x^{3} - 2 \, x^{2} - x + 2\right)}}"," ",0,"-1/432*(12*(5*d + 4*e + 8*f + 10*g + 20*h + 34*i)*x^2 - 72*(d + f + h)*x - 3*((d - 2*e + 4*f - 8*g + 16*h - 32*i)*x^3 - 2*(d - 2*e + 4*f - 8*g + 16*h - 32*i)*x^2 - (d - 2*e + 4*f - 8*g + 16*h - 32*i)*x + 2*d - 4*e + 8*f - 16*g + 32*h - 64*i)*log(x + 2) - 4*((2*d + e - 4*f + 7*g - 10*h + 13*i)*x^3 - 2*(2*d + e - 4*f + 7*g - 10*h + 13*i)*x^2 - (2*d + e - 4*f + 7*g - 10*h + 13*i)*x + 4*d + 2*e - 8*f + 14*g - 20*h + 26*i)*log(x + 1) - 12*((2*d + 5*e + 8*f + 11*g + 14*h + 17*i)*x^3 - 2*(2*d + 5*e + 8*f + 11*g + 14*h + 17*i)*x^2 - (2*d + 5*e + 8*f + 11*g + 14*h + 17*i)*x + 4*d + 10*e + 16*f + 22*g + 28*h + 34*i)*log(x - 1) + ((35*d + 58*e + 92*f + 136*g + 176*h + 160*i)*x^3 - 2*(35*d + 58*e + 92*f + 136*g + 176*h + 160*i)*x^2 - (35*d + 58*e + 92*f + 136*g + 176*h + 160*i)*x + 70*d + 116*e + 184*f + 272*g + 352*h + 320*i)*log(x - 2) - 60*d - 120*e - 96*f - 192*g - 240*h - 480*i)/(x^3 - 2*x^2 - x + 2)","B",0
103,0,0,0,2.516447," ","integrate((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(c g x^{7} + c f x^{6} + {\left(c e + b g\right)} x^{5} + {\left(c d + b f\right)} x^{4} + {\left(b e + a g\right)} x^{3} + a e x + {\left(b d + a f\right)} x^{2} + a d\right)} \sqrt{c x^{4} + b x^{2} + a}, x\right)"," ",0,"integral((c*g*x^7 + c*f*x^6 + (c*e + b*g)*x^5 + (c*d + b*f)*x^4 + (b*e + a*g)*x^3 + a*e*x + (b*d + a*f)*x^2 + a*d)*sqrt(c*x^4 + b*x^2 + a), x)","F",0
104,0,0,0,2.027306," ","integrate((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c x^{4} + b x^{2} + a} {\left(g x^{3} + f x^{2} + e x + d\right)}, x\right)"," ",0,"integral(sqrt(c*x^4 + b*x^2 + a)*(g*x^3 + f*x^2 + e*x + d), x)","F",0
105,0,0,0,1.511353," ","integrate((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x^{3} + f x^{2} + e x + d}{\sqrt{c x^{4} + b x^{2} + a}}, x\right)"," ",0,"integral((g*x^3 + f*x^2 + e*x + d)/sqrt(c*x^4 + b*x^2 + a), x)","F",0
106,0,0,0,1.462440," ","integrate((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{4} + b x^{2} + a} {\left(g x^{3} + f x^{2} + e x + d\right)}}{c^{2} x^{8} + 2 \, b c x^{6} + {\left(b^{2} + 2 \, a c\right)} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(c*x^4 + b*x^2 + a)*(g*x^3 + f*x^2 + e*x + d)/(c^2*x^8 + 2*b*c*x^6 + (b^2 + 2*a*c)*x^4 + 2*a*b*x^2 + a^2), x)","F",0
107,0,0,0,1.714483," ","integrate((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{4} + b x^{2} + a} {\left(g x^{3} + f x^{2} + e x + d\right)}}{c^{3} x^{12} + 3 \, b c^{2} x^{10} + 3 \, {\left(b^{2} c + a c^{2}\right)} x^{8} + {\left(b^{3} + 6 \, a b c\right)} x^{6} + 3 \, a^{2} b x^{2} + 3 \, {\left(a b^{2} + a^{2} c\right)} x^{4} + a^{3}}, x\right)"," ",0,"integral(sqrt(c*x^4 + b*x^2 + a)*(g*x^3 + f*x^2 + e*x + d)/(c^3*x^12 + 3*b*c^2*x^10 + 3*(b^2*c + a*c^2)*x^8 + (b^3 + 6*a*b*c)*x^6 + 3*a^2*b*x^2 + 3*(a*b^2 + a^2*c)*x^4 + a^3), x)","F",0
108,1,17,0,1.409935," ","integrate((-c*g*x^4+a*g)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{g x}{\sqrt{c x^{4} + b x^{2} + a}}"," ",0,"g*x/sqrt(c*x^4 + b*x^2 + a)","A",0
109,1,82,0,1.500834," ","integrate((-c*g*x^4+a*g+e*x)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{4} + b x^{2} + a} {\left(2 \, c e x^{2} - {\left(b^{2} - 4 \, a c\right)} g x + b e\right)}}{{\left(b^{2} c - 4 \, a c^{2}\right)} x^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} x^{2}}"," ",0,"-sqrt(c*x^4 + b*x^2 + a)*(2*c*e*x^2 - (b^2 - 4*a*c)*g*x + b*e)/((b^2*c - 4*a*c^2)*x^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*x^2)","A",0
110,1,80,0,1.360075," ","integrate((-c*g*x^4+f*x^3+a*g)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{4} + b x^{2} + a} {\left(b f x^{2} + {\left(b^{2} - 4 \, a c\right)} g x + 2 \, a f\right)}}{{\left(b^{2} c - 4 \, a c^{2}\right)} x^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} x^{2}}"," ",0,"sqrt(c*x^4 + b*x^2 + a)*(b*f*x^2 + (b^2 - 4*a*c)*g*x + 2*a*f)/((b^2*c - 4*a*c^2)*x^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*x^2)","A",0
111,1,92,0,1.028617," ","integrate((-c*g*x^4+f*x^3+a*g+e*x)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{4} + b x^{2} + a} {\left({\left(b^{2} - 4 \, a c\right)} g x - {\left(2 \, c e - b f\right)} x^{2} - b e + 2 \, a f\right)}}{{\left(b^{2} c - 4 \, a c^{2}\right)} x^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} x^{2}}"," ",0,"sqrt(c*x^4 + b*x^2 + a)*((b^2 - 4*a*c)*g*x - (2*c*e - b*f)*x^2 - b*e + 2*a*f)/((b^2*c - 4*a*c^2)*x^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*x^2)","A",0
