1,1,210,0,0.308495," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e)^4,x, algorithm=""giac"")","\frac{1}{13} \, b d f^{4} x^{13} + \frac{1}{11} \, b c f^{4} x^{11} + \frac{1}{11} \, a d f^{4} x^{11} + \frac{4}{11} \, b d f^{3} x^{11} e + \frac{1}{9} \, a c f^{4} x^{9} + \frac{4}{9} \, b c f^{3} x^{9} e + \frac{4}{9} \, a d f^{3} x^{9} e + \frac{2}{3} \, b d f^{2} x^{9} e^{2} + \frac{4}{7} \, a c f^{3} x^{7} e + \frac{6}{7} \, b c f^{2} x^{7} e^{2} + \frac{6}{7} \, a d f^{2} x^{7} e^{2} + \frac{4}{7} \, b d f x^{7} e^{3} + \frac{6}{5} \, a c f^{2} x^{5} e^{2} + \frac{4}{5} \, b c f x^{5} e^{3} + \frac{4}{5} \, a d f x^{5} e^{3} + \frac{1}{5} \, b d x^{5} e^{4} + \frac{4}{3} \, a c f x^{3} e^{3} + \frac{1}{3} \, b c x^{3} e^{4} + \frac{1}{3} \, a d x^{3} e^{4} + a c x e^{4}"," ",0,"1/13*b*d*f^4*x^13 + 1/11*b*c*f^4*x^11 + 1/11*a*d*f^4*x^11 + 4/11*b*d*f^3*x^11*e + 1/9*a*c*f^4*x^9 + 4/9*b*c*f^3*x^9*e + 4/9*a*d*f^3*x^9*e + 2/3*b*d*f^2*x^9*e^2 + 4/7*a*c*f^3*x^7*e + 6/7*b*c*f^2*x^7*e^2 + 6/7*a*d*f^2*x^7*e^2 + 4/7*b*d*f*x^7*e^3 + 6/5*a*c*f^2*x^5*e^2 + 4/5*b*c*f*x^5*e^3 + 4/5*a*d*f*x^5*e^3 + 1/5*b*d*x^5*e^4 + 4/3*a*c*f*x^3*e^3 + 1/3*b*c*x^3*e^4 + 1/3*a*d*x^3*e^4 + a*c*x*e^4","A",0
2,1,161,0,0.294024," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e)^3,x, algorithm=""giac"")","\frac{1}{11} \, b d f^{3} x^{11} + \frac{1}{9} \, b c f^{3} x^{9} + \frac{1}{9} \, a d f^{3} x^{9} + \frac{1}{3} \, b d f^{2} x^{9} e + \frac{1}{7} \, a c f^{3} x^{7} + \frac{3}{7} \, b c f^{2} x^{7} e + \frac{3}{7} \, a d f^{2} x^{7} e + \frac{3}{7} \, b d f x^{7} e^{2} + \frac{3}{5} \, a c f^{2} x^{5} e + \frac{3}{5} \, b c f x^{5} e^{2} + \frac{3}{5} \, a d f x^{5} e^{2} + \frac{1}{5} \, b d x^{5} e^{3} + a c f x^{3} e^{2} + \frac{1}{3} \, b c x^{3} e^{3} + \frac{1}{3} \, a d x^{3} e^{3} + a c x e^{3}"," ",0,"1/11*b*d*f^3*x^11 + 1/9*b*c*f^3*x^9 + 1/9*a*d*f^3*x^9 + 1/3*b*d*f^2*x^9*e + 1/7*a*c*f^3*x^7 + 3/7*b*c*f^2*x^7*e + 3/7*a*d*f^2*x^7*e + 3/7*b*d*f*x^7*e^2 + 3/5*a*c*f^2*x^5*e + 3/5*b*c*f*x^5*e^2 + 3/5*a*d*f*x^5*e^2 + 1/5*b*d*x^5*e^3 + a*c*f*x^3*e^2 + 1/3*b*c*x^3*e^3 + 1/3*a*d*x^3*e^3 + a*c*x*e^3","A",0
3,1,114,0,0.280787," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e)^2,x, algorithm=""giac"")","\frac{1}{9} \, b d f^{2} x^{9} + \frac{1}{7} \, b c f^{2} x^{7} + \frac{1}{7} \, a d f^{2} x^{7} + \frac{2}{7} \, b d f x^{7} e + \frac{1}{5} \, a c f^{2} x^{5} + \frac{2}{5} \, b c f x^{5} e + \frac{2}{5} \, a d f x^{5} e + \frac{1}{5} \, b d x^{5} e^{2} + \frac{2}{3} \, a c f x^{3} e + \frac{1}{3} \, b c x^{3} e^{2} + \frac{1}{3} \, a d x^{3} e^{2} + a c x e^{2}"," ",0,"1/9*b*d*f^2*x^9 + 1/7*b*c*f^2*x^7 + 1/7*a*d*f^2*x^7 + 2/7*b*d*f*x^7*e + 1/5*a*c*f^2*x^5 + 2/5*b*c*f*x^5*e + 2/5*a*d*f*x^5*e + 1/5*b*d*x^5*e^2 + 2/3*a*c*f*x^3*e + 1/3*b*c*x^3*e^2 + 1/3*a*d*x^3*e^2 + a*c*x*e^2","A",0
4,1,66,0,0.335400," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e),x, algorithm=""giac"")","\frac{1}{7} \, b d f x^{7} + \frac{1}{5} \, b c f x^{5} + \frac{1}{5} \, a d f x^{5} + \frac{1}{5} \, b d x^{5} e + \frac{1}{3} \, a c f x^{3} + \frac{1}{3} \, b c x^{3} e + \frac{1}{3} \, a d x^{3} e + a c x e"," ",0,"1/7*b*d*f*x^7 + 1/5*b*c*f*x^5 + 1/5*a*d*f*x^5 + 1/5*b*d*x^5*e + 1/3*a*c*f*x^3 + 1/3*b*c*x^3*e + 1/3*a*d*x^3*e + a*c*x*e","A",0
5,1,80,0,0.310109," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e),x, algorithm=""giac"")","\frac{{\left(a c f^{2} - b c f e - a d f e + b d e^{2}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{1}{2}\right)}}{f^{\frac{5}{2}}} + \frac{b d f^{2} x^{3} + 3 \, b c f^{2} x + 3 \, a d f^{2} x - 3 \, b d f x e}{3 \, f^{3}}"," ",0,"(a*c*f^2 - b*c*f*e - a*d*f*e + b*d*e^2)*arctan(sqrt(f)*x*e^(-1/2))*e^(-1/2)/f^(5/2) + 1/3*(b*d*f^2*x^3 + 3*b*c*f^2*x + 3*a*d*f^2*x - 3*b*d*f*x*e)/f^3","A",0
6,1,95,0,0.363453," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e)^2,x, algorithm=""giac"")","\frac{b d x}{f^{2}} + \frac{{\left(a c f^{2} + b c f e + a d f e - 3 \, b d e^{2}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{3}{2}\right)}}{2 \, f^{\frac{5}{2}}} + \frac{{\left(a c f^{2} x - b c f x e - a d f x e + b d x e^{2}\right)} e^{\left(-1\right)}}{2 \, {\left(f x^{2} + e\right)} f^{2}}"," ",0,"b*d*x/f^2 + 1/2*(a*c*f^2 + b*c*f*e + a*d*f*e - 3*b*d*e^2)*arctan(sqrt(f)*x*e^(-1/2))*e^(-3/2)/f^(5/2) + 1/2*(a*c*f^2*x - b*c*f*x*e - a*d*f*x*e + b*d*x*e^2)*e^(-1)/((f*x^2 + e)*f^2)","A",0
7,1,135,0,0.458353," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e)^3,x, algorithm=""giac"")","\frac{{\left(3 \, a c f^{2} + b c f e + a d f e + 3 \, b d e^{2}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{5}{2}\right)}}{8 \, f^{\frac{5}{2}}} + \frac{{\left(3 \, a c f^{3} x^{3} + b c f^{2} x^{3} e + a d f^{2} x^{3} e - 5 \, b d f x^{3} e^{2} + 5 \, a c f^{2} x e - b c f x e^{2} - a d f x e^{2} - 3 \, b d x e^{3}\right)} e^{\left(-2\right)}}{8 \, {\left(f x^{2} + e\right)}^{2} f^{2}}"," ",0,"1/8*(3*a*c*f^2 + b*c*f*e + a*d*f*e + 3*b*d*e^2)*arctan(sqrt(f)*x*e^(-1/2))*e^(-5/2)/f^(5/2) + 1/8*(3*a*c*f^3*x^3 + b*c*f^2*x^3*e + a*d*f^2*x^3*e - 5*b*d*f*x^3*e^2 + 5*a*c*f^2*x*e - b*c*f*x*e^2 - a*d*f*x*e^2 - 3*b*d*x*e^3)*e^(-2)/((f*x^2 + e)^2*f^2)","A",0
8,1,184,0,0.342949," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e)^4,x, algorithm=""giac"")","\frac{{\left(5 \, a c f^{2} + b c f e + a d f e + b d e^{2}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{7}{2}\right)}}{16 \, f^{\frac{5}{2}}} + \frac{{\left(15 \, a c f^{4} x^{5} + 3 \, b c f^{3} x^{5} e + 3 \, a d f^{3} x^{5} e + 3 \, b d f^{2} x^{5} e^{2} + 40 \, a c f^{3} x^{3} e + 8 \, b c f^{2} x^{3} e^{2} + 8 \, a d f^{2} x^{3} e^{2} - 8 \, b d f x^{3} e^{3} + 33 \, a c f^{2} x e^{2} - 3 \, b c f x e^{3} - 3 \, a d f x e^{3} - 3 \, b d x e^{4}\right)} e^{\left(-3\right)}}{48 \, {\left(f x^{2} + e\right)}^{3} f^{2}}"," ",0,"1/16*(5*a*c*f^2 + b*c*f*e + a*d*f*e + b*d*e^2)*arctan(sqrt(f)*x*e^(-1/2))*e^(-7/2)/f^(5/2) + 1/48*(15*a*c*f^4*x^5 + 3*b*c*f^3*x^5*e + 3*a*d*f^3*x^5*e + 3*b*d*f^2*x^5*e^2 + 40*a*c*f^3*x^3*e + 8*b*c*f^2*x^3*e^2 + 8*a*d*f^2*x^3*e^2 - 8*b*d*f*x^3*e^3 + 33*a*c*f^2*x*e^2 - 3*b*c*f*x*e^3 - 3*a*d*f*x*e^3 - 3*b*d*x*e^4)*e^(-3)/((f*x^2 + e)^3*f^2)","A",0
9,1,283,0,0.241164," ","integrate((b*x^2+a)*(d*x^2+c)^2*(f*x^2+e)^3,x, algorithm=""giac"")","\frac{1}{13} \, b d^{2} f^{3} x^{13} + \frac{2}{11} \, b c d f^{3} x^{11} + \frac{1}{11} \, a d^{2} f^{3} x^{11} + \frac{3}{11} \, b d^{2} f^{2} x^{11} e + \frac{1}{9} \, b c^{2} f^{3} x^{9} + \frac{2}{9} \, a c d f^{3} x^{9} + \frac{2}{3} \, b c d f^{2} x^{9} e + \frac{1}{3} \, a d^{2} f^{2} x^{9} e + \frac{1}{3} \, b d^{2} f x^{9} e^{2} + \frac{1}{7} \, a c^{2} f^{3} x^{7} + \frac{3}{7} \, b c^{2} f^{2} x^{7} e + \frac{6}{7} \, a c d f^{2} x^{7} e + \frac{6}{7} \, b c d f x^{7} e^{2} + \frac{3}{7} \, a d^{2} f x^{7} e^{2} + \frac{1}{7} \, b d^{2} x^{7} e^{3} + \frac{3}{5} \, a c^{2} f^{2} x^{5} e + \frac{3}{5} \, b c^{2} f x^{5} e^{2} + \frac{6}{5} \, a c d f x^{5} e^{2} + \frac{2}{5} \, b c d x^{5} e^{3} + \frac{1}{5} \, a d^{2} x^{5} e^{3} + a c^{2} f x^{3} e^{2} + \frac{1}{3} \, b c^{2} x^{3} e^{3} + \frac{2}{3} \, a c d x^{3} e^{3} + a c^{2} x e^{3}"," ",0,"1/13*b*d^2*f^3*x^13 + 2/11*b*c*d*f^3*x^11 + 1/11*a*d^2*f^3*x^11 + 3/11*b*d^2*f^2*x^11*e + 1/9*b*c^2*f^3*x^9 + 2/9*a*c*d*f^3*x^9 + 2/3*b*c*d*f^2*x^9*e + 1/3*a*d^2*f^2*x^9*e + 1/3*b*d^2*f*x^9*e^2 + 1/7*a*c^2*f^3*x^7 + 3/7*b*c^2*f^2*x^7*e + 6/7*a*c*d*f^2*x^7*e + 6/7*b*c*d*f*x^7*e^2 + 3/7*a*d^2*f*x^7*e^2 + 1/7*b*d^2*x^7*e^3 + 3/5*a*c^2*f^2*x^5*e + 3/5*b*c^2*f*x^5*e^2 + 6/5*a*c*d*f*x^5*e^2 + 2/5*b*c*d*x^5*e^3 + 1/5*a*d^2*x^5*e^3 + a*c^2*f*x^3*e^2 + 1/3*b*c^2*x^3*e^3 + 2/3*a*c*d*x^3*e^3 + a*c^2*x*e^3","A",0
10,1,202,0,0.357490," ","integrate((b*x^2+a)*(d*x^2+c)^2*(f*x^2+e)^2,x, algorithm=""giac"")","\frac{1}{11} \, b d^{2} f^{2} x^{11} + \frac{2}{9} \, b c d f^{2} x^{9} + \frac{1}{9} \, a d^{2} f^{2} x^{9} + \frac{2}{9} \, b d^{2} f x^{9} e + \frac{1}{7} \, b c^{2} f^{2} x^{7} + \frac{2}{7} \, a c d f^{2} x^{7} + \frac{4}{7} \, b c d f x^{7} e + \frac{2}{7} \, a d^{2} f x^{7} e + \frac{1}{7} \, b d^{2} x^{7} e^{2} + \frac{1}{5} \, a c^{2} f^{2} x^{5} + \frac{2}{5} \, b c^{2} f x^{5} e + \frac{4}{5} \, a c d f x^{5} e + \frac{2}{5} \, b c d x^{5} e^{2} + \frac{1}{5} \, a d^{2} x^{5} e^{2} + \frac{2}{3} \, a c^{2} f x^{3} e + \frac{1}{3} \, b c^{2} x^{3} e^{2} + \frac{2}{3} \, a c d x^{3} e^{2} + a c^{2} x e^{2}"," ",0,"1/11*b*d^2*f^2*x^11 + 2/9*b*c*d*f^2*x^9 + 1/9*a*d^2*f^2*x^9 + 2/9*b*d^2*f*x^9*e + 1/7*b*c^2*f^2*x^7 + 2/7*a*c*d*f^2*x^7 + 4/7*b*c*d*f*x^7*e + 2/7*a*d^2*f*x^7*e + 1/7*b*d^2*x^7*e^2 + 1/5*a*c^2*f^2*x^5 + 2/5*b*c^2*f*x^5*e + 4/5*a*c*d*f*x^5*e + 2/5*b*c*d*x^5*e^2 + 1/5*a*d^2*x^5*e^2 + 2/3*a*c^2*f*x^3*e + 1/3*b*c^2*x^3*e^2 + 2/3*a*c*d*x^3*e^2 + a*c^2*x*e^2","A",0
11,1,120,0,0.288144," ","integrate((b*x^2+a)*(d*x^2+c)^2*(f*x^2+e),x, algorithm=""giac"")","\frac{1}{9} \, b d^{2} f x^{9} + \frac{2}{7} \, b c d f x^{7} + \frac{1}{7} \, a d^{2} f x^{7} + \frac{1}{7} \, b d^{2} x^{7} e + \frac{1}{5} \, b c^{2} f x^{5} + \frac{2}{5} \, a c d f x^{5} + \frac{2}{5} \, b c d x^{5} e + \frac{1}{5} \, a d^{2} x^{5} e + \frac{1}{3} \, a c^{2} f x^{3} + \frac{1}{3} \, b c^{2} x^{3} e + \frac{2}{3} \, a c d x^{3} e + a c^{2} x e"," ",0,"1/9*b*d^2*f*x^9 + 2/7*b*c*d*f*x^7 + 1/7*a*d^2*f*x^7 + 1/7*b*d^2*x^7*e + 1/5*b*c^2*f*x^5 + 2/5*a*c*d*f*x^5 + 2/5*b*c*d*x^5*e + 1/5*a*d^2*x^5*e + 1/3*a*c^2*f*x^3 + 1/3*b*c^2*x^3*e + 2/3*a*c*d*x^3*e + a*c^2*x*e","A",0
12,1,178,0,0.293906," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e),x, algorithm=""giac"")","\frac{{\left(a c^{2} f^{3} - b c^{2} f^{2} e - 2 \, a c d f^{2} e + 2 \, b c d f e^{2} + a d^{2} f e^{2} - b d^{2} e^{3}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{1}{2}\right)}}{f^{\frac{7}{2}}} + \frac{3 \, b d^{2} f^{4} x^{5} + 10 \, b c d f^{4} x^{3} + 5 \, a d^{2} f^{4} x^{3} - 5 \, b d^{2} f^{3} x^{3} e + 15 \, b c^{2} f^{4} x + 30 \, a c d f^{4} x - 30 \, b c d f^{3} x e - 15 \, a d^{2} f^{3} x e + 15 \, b d^{2} f^{2} x e^{2}}{15 \, f^{5}}"," ",0,"(a*c^2*f^3 - b*c^2*f^2*e - 2*a*c*d*f^2*e + 2*b*c*d*f*e^2 + a*d^2*f*e^2 - b*d^2*e^3)*arctan(sqrt(f)*x*e^(-1/2))*e^(-1/2)/f^(7/2) + 1/15*(3*b*d^2*f^4*x^5 + 10*b*c*d*f^4*x^3 + 5*a*d^2*f^4*x^3 - 5*b*d^2*f^3*x^3*e + 15*b*c^2*f^4*x + 30*a*c*d*f^4*x - 30*b*c*d*f^3*x*e - 15*a*d^2*f^3*x*e + 15*b*d^2*f^2*x*e^2)/f^5","A",0
13,1,195,0,0.327047," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e)^2,x, algorithm=""giac"")","\frac{{\left(a c^{2} f^{3} + b c^{2} f^{2} e + 2 \, a c d f^{2} e - 6 \, b c d f e^{2} - 3 \, a d^{2} f e^{2} + 5 \, b d^{2} e^{3}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{3}{2}\right)}}{2 \, f^{\frac{7}{2}}} + \frac{{\left(a c^{2} f^{3} x - b c^{2} f^{2} x e - 2 \, a c d f^{2} x e + 2 \, b c d f x e^{2} + a d^{2} f x e^{2} - b d^{2} x e^{3}\right)} e^{\left(-1\right)}}{2 \, {\left(f x^{2} + e\right)} f^{3}} + \frac{b d^{2} f^{4} x^{3} + 6 \, b c d f^{4} x + 3 \, a d^{2} f^{4} x - 6 \, b d^{2} f^{3} x e}{3 \, f^{6}}"," ",0,"1/2*(a*c^2*f^3 + b*c^2*f^2*e + 2*a*c*d*f^2*e - 6*b*c*d*f*e^2 - 3*a*d^2*f*e^2 + 5*b*d^2*e^3)*arctan(sqrt(f)*x*e^(-1/2))*e^(-3/2)/f^(7/2) + 1/2*(a*c^2*f^3*x - b*c^2*f^2*x*e - 2*a*c*d*f^2*x*e + 2*b*c*d*f*x*e^2 + a*d^2*f*x*e^2 - b*d^2*x*e^3)*e^(-1)/((f*x^2 + e)*f^3) + 1/3*(b*d^2*f^4*x^3 + 6*b*c*d*f^4*x + 3*a*d^2*f^4*x - 6*b*d^2*f^3*x*e)/f^6","A",0
14,1,238,0,0.448721," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e)^3,x, algorithm=""giac"")","\frac{b d^{2} x}{f^{3}} + \frac{{\left(3 \, a c^{2} f^{3} + b c^{2} f^{2} e + 2 \, a c d f^{2} e + 6 \, b c d f e^{2} + 3 \, a d^{2} f e^{2} - 15 \, b d^{2} e^{3}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{5}{2}\right)}}{8 \, f^{\frac{7}{2}}} + \frac{{\left(3 \, a c^{2} f^{4} x^{3} + b c^{2} f^{3} x^{3} e + 2 \, a c d f^{3} x^{3} e - 10 \, b c d f^{2} x^{3} e^{2} - 5 \, a d^{2} f^{2} x^{3} e^{2} + 9 \, b d^{2} f x^{3} e^{3} + 5 \, a c^{2} f^{3} x e - b c^{2} f^{2} x e^{2} - 2 \, a c d f^{2} x e^{2} - 6 \, b c d f x e^{3} - 3 \, a d^{2} f x e^{3} + 7 \, b d^{2} x e^{4}\right)} e^{\left(-2\right)}}{8 \, {\left(f x^{2} + e\right)}^{2} f^{3}}"," ",0,"b*d^2*x/f^3 + 1/8*(3*a*c^2*f^3 + b*c^2*f^2*e + 2*a*c*d*f^2*e + 6*b*c*d*f*e^2 + 3*a*d^2*f*e^2 - 15*b*d^2*e^3)*arctan(sqrt(f)*x*e^(-1/2))*e^(-5/2)/f^(7/2) + 1/8*(3*a*c^2*f^4*x^3 + b*c^2*f^3*x^3*e + 2*a*c*d*f^3*x^3*e - 10*b*c*d*f^2*x^3*e^2 - 5*a*d^2*f^2*x^3*e^2 + 9*b*d^2*f*x^3*e^3 + 5*a*c^2*f^3*x*e - b*c^2*f^2*x*e^2 - 2*a*c*d*f^2*x*e^2 - 6*b*c*d*f*x*e^3 - 3*a*d^2*f*x*e^3 + 7*b*d^2*x*e^4)*e^(-2)/((f*x^2 + e)^2*f^3)","A",0
15,1,311,0,0.303540," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e)^4,x, algorithm=""giac"")","\frac{{\left(5 \, a c^{2} f^{3} + b c^{2} f^{2} e + 2 \, a c d f^{2} e + 2 \, b c d f e^{2} + a d^{2} f e^{2} + 5 \, b d^{2} e^{3}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{7}{2}\right)}}{16 \, f^{\frac{7}{2}}} + \frac{{\left(15 \, a c^{2} f^{5} x^{5} + 3 \, b c^{2} f^{4} x^{5} e + 6 \, a c d f^{4} x^{5} e + 6 \, b c d f^{3} x^{5} e^{2} + 3 \, a d^{2} f^{3} x^{5} e^{2} - 33 \, b d^{2} f^{2} x^{5} e^{3} + 40 \, a c^{2} f^{4} x^{3} e + 8 \, b c^{2} f^{3} x^{3} e^{2} + 16 \, a c d f^{3} x^{3} e^{2} - 16 \, b c d f^{2} x^{3} e^{3} - 8 \, a d^{2} f^{2} x^{3} e^{3} - 40 \, b d^{2} f x^{3} e^{4} + 33 \, a c^{2} f^{3} x e^{2} - 3 \, b c^{2} f^{2} x e^{3} - 6 \, a c d f^{2} x e^{3} - 6 \, b c d f x e^{4} - 3 \, a d^{2} f x e^{4} - 15 \, b d^{2} x e^{5}\right)} e^{\left(-3\right)}}{48 \, {\left(f x^{2} + e\right)}^{3} f^{3}}"," ",0,"1/16*(5*a*c^2*f^3 + b*c^2*f^2*e + 2*a*c*d*f^2*e + 2*b*c*d*f*e^2 + a*d^2*f*e^2 + 5*b*d^2*e^3)*arctan(sqrt(f)*x*e^(-1/2))*e^(-7/2)/f^(7/2) + 1/48*(15*a*c^2*f^5*x^5 + 3*b*c^2*f^4*x^5*e + 6*a*c*d*f^4*x^5*e + 6*b*c*d*f^3*x^5*e^2 + 3*a*d^2*f^3*x^5*e^2 - 33*b*d^2*f^2*x^5*e^3 + 40*a*c^2*f^4*x^3*e + 8*b*c^2*f^3*x^3*e^2 + 16*a*c*d*f^3*x^3*e^2 - 16*b*c*d*f^2*x^3*e^3 - 8*a*d^2*f^2*x^3*e^3 - 40*b*d^2*f*x^3*e^4 + 33*a*c^2*f^3*x*e^2 - 3*b*c^2*f^2*x*e^3 - 6*a*c*d*f^2*x*e^3 - 6*b*c*d*f*x*e^4 - 3*a*d^2*f*x*e^4 - 15*b*d^2*x*e^5)*e^(-3)/((f*x^2 + e)^3*f^3)","A",0
16,1,401,0,0.376471," ","integrate((b*x^2+a)*(d*x^2+c)^3*(f*x^2+e)^3,x, algorithm=""giac"")","\frac{1}{15} \, b d^{3} f^{3} x^{15} + \frac{3}{13} \, b c d^{2} f^{3} x^{13} + \frac{1}{13} \, a d^{3} f^{3} x^{13} + \frac{3}{13} \, b d^{3} f^{2} x^{13} e + \frac{3}{11} \, b c^{2} d f^{3} x^{11} + \frac{3}{11} \, a c d^{2} f^{3} x^{11} + \frac{9}{11} \, b c d^{2} f^{2} x^{11} e + \frac{3}{11} \, a d^{3} f^{2} x^{11} e + \frac{3}{11} \, b d^{3} f x^{11} e^{2} + \frac{1}{9} \, b c^{3} f^{3} x^{9} + \frac{1}{3} \, a c^{2} d f^{3} x^{9} + b c^{2} d f^{2} x^{9} e + a c d^{2} f^{2} x^{9} e + b c d^{2} f x^{9} e^{2} + \frac{1}{3} \, a d^{3} f x^{9} e^{2} + \frac{1}{7} \, a c^{3} f^{3} x^{7} + \frac{1}{9} \, b d^{3} x^{9} e^{3} + \frac{3}{7} \, b c^{3} f^{2} x^{7} e + \frac{9}{7} \, a c^{2} d f^{2} x^{7} e + \frac{9}{7} \, b c^{2} d f x^{7} e^{2} + \frac{9}{7} \, a c d^{2} f x^{7} e^{2} + \frac{3}{7} \, b c d^{2} x^{7} e^{3} + \frac{1}{7} \, a d^{3} x^{7} e^{3} + \frac{3}{5} \, a c^{3} f^{2} x^{5} e + \frac{3}{5} \, b c^{3} f x^{5} e^{2} + \frac{9}{5} \, a c^{2} d f x^{5} e^{2} + \frac{3}{5} \, b c^{2} d x^{5} e^{3} + \frac{3}{5} \, a c d^{2} x^{5} e^{3} + a c^{3} f x^{3} e^{2} + \frac{1}{3} \, b c^{3} x^{3} e^{3} + a c^{2} d x^{3} e^{3} + a c^{3} x e^{3}"," ",0,"1/15*b*d^3*f^3*x^15 + 3/13*b*c*d^2*f^3*x^13 + 1/13*a*d^3*f^3*x^13 + 3/13*b*d^3*f^2*x^13*e + 3/11*b*c^2*d*f^3*x^11 + 3/11*a*c*d^2*f^3*x^11 + 9/11*b*c*d^2*f^2*x^11*e + 3/11*a*d^3*f^2*x^11*e + 3/11*b*d^3*f*x^11*e^2 + 1/9*b*c^3*f^3*x^9 + 1/3*a*c^2*d*f^3*x^9 + b*c^2*d*f^2*x^9*e + a*c*d^2*f^2*x^9*e + b*c*d^2*f*x^9*e^2 + 1/3*a*d^3*f*x^9*e^2 + 1/7*a*c^3*f^3*x^7 + 1/9*b*d^3*x^9*e^3 + 3/7*b*c^3*f^2*x^7*e + 9/7*a*c^2*d*f^2*x^7*e + 9/7*b*c^2*d*f*x^7*e^2 + 9/7*a*c*d^2*f*x^7*e^2 + 3/7*b*c*d^2*x^7*e^3 + 1/7*a*d^3*x^7*e^3 + 3/5*a*c^3*f^2*x^5*e + 3/5*b*c^3*f*x^5*e^2 + 9/5*a*c^2*d*f*x^5*e^2 + 3/5*b*c^2*d*x^5*e^3 + 3/5*a*c*d^2*x^5*e^3 + a*c^3*f*x^3*e^2 + 1/3*b*c^3*x^3*e^3 + a*c^2*d*x^3*e^3 + a*c^3*x*e^3","A",0
17,1,289,0,0.346673," ","integrate((b*x^2+a)*(d*x^2+c)^3*(f*x^2+e)^2,x, algorithm=""giac"")","\frac{1}{13} \, b d^{3} f^{2} x^{13} + \frac{3}{11} \, b c d^{2} f^{2} x^{11} + \frac{1}{11} \, a d^{3} f^{2} x^{11} + \frac{2}{11} \, b d^{3} f x^{11} e + \frac{1}{3} \, b c^{2} d f^{2} x^{9} + \frac{1}{3} \, a c d^{2} f^{2} x^{9} + \frac{2}{3} \, b c d^{2} f x^{9} e + \frac{2}{9} \, a d^{3} f x^{9} e + \frac{1}{9} \, b d^{3} x^{9} e^{2} + \frac{1}{7} \, b c^{3} f^{2} x^{7} + \frac{3}{7} \, a c^{2} d f^{2} x^{7} + \frac{6}{7} \, b c^{2} d f x^{7} e + \frac{6}{7} \, a c d^{2} f x^{7} e + \frac{3}{7} \, b c d^{2} x^{7} e^{2} + \frac{1}{7} \, a d^{3} x^{7} e^{2} + \frac{1}{5} \, a c^{3} f^{2} x^{5} + \frac{2}{5} \, b c^{3} f x^{5} e + \frac{6}{5} \, a c^{2} d f x^{5} e + \frac{3}{5} \, b c^{2} d x^{5} e^{2} + \frac{3}{5} \, a c d^{2} x^{5} e^{2} + \frac{2}{3} \, a c^{3} f x^{3} e + \frac{1}{3} \, b c^{3} x^{3} e^{2} + a c^{2} d x^{3} e^{2} + a c^{3} x e^{2}"," ",0,"1/13*b*d^3*f^2*x^13 + 3/11*b*c*d^2*f^2*x^11 + 1/11*a*d^3*f^2*x^11 + 2/11*b*d^3*f*x^11*e + 1/3*b*c^2*d*f^2*x^9 + 1/3*a*c*d^2*f^2*x^9 + 2/3*b*c*d^2*f*x^9*e + 2/9*a*d^3*f*x^9*e + 1/9*b*d^3*x^9*e^2 + 1/7*b*c^3*f^2*x^7 + 3/7*a*c^2*d*f^2*x^7 + 6/7*b*c^2*d*f*x^7*e + 6/7*a*c*d^2*f*x^7*e + 3/7*b*c*d^2*x^7*e^2 + 1/7*a*d^3*x^7*e^2 + 1/5*a*c^3*f^2*x^5 + 2/5*b*c^3*f*x^5*e + 6/5*a*c^2*d*f*x^5*e + 3/5*b*c^2*d*x^5*e^2 + 3/5*a*c*d^2*x^5*e^2 + 2/3*a*c^3*f*x^3*e + 1/3*b*c^3*x^3*e^2 + a*c^2*d*x^3*e^2 + a*c^3*x*e^2","A",0
18,1,173,0,0.353072," ","integrate((b*x^2+a)*(d*x^2+c)^3*(f*x^2+e),x, algorithm=""giac"")","\frac{1}{11} \, b d^{3} f x^{11} + \frac{1}{3} \, b c d^{2} f x^{9} + \frac{1}{9} \, a d^{3} f x^{9} + \frac{1}{9} \, b d^{3} x^{9} e + \frac{3}{7} \, b c^{2} d f x^{7} + \frac{3}{7} \, a c d^{2} f x^{7} + \frac{3}{7} \, b c d^{2} x^{7} e + \frac{1}{7} \, a d^{3} x^{7} e + \frac{1}{5} \, b c^{3} f x^{5} + \frac{3}{5} \, a c^{2} d f x^{5} + \frac{3}{5} \, b c^{2} d x^{5} e + \frac{3}{5} \, a c d^{2} x^{5} e + \frac{1}{3} \, a c^{3} f x^{3} + \frac{1}{3} \, b c^{3} x^{3} e + a c^{2} d x^{3} e + a c^{3} x e"," ",0,"1/11*b*d^3*f*x^11 + 1/3*b*c*d^2*f*x^9 + 1/9*a*d^3*f*x^9 + 1/9*b*d^3*x^9*e + 3/7*b*c^2*d*f*x^7 + 3/7*a*c*d^2*f*x^7 + 3/7*b*c*d^2*x^7*e + 1/7*a*d^3*x^7*e + 1/5*b*c^3*f*x^5 + 3/5*a*c^2*d*f*x^5 + 3/5*b*c^2*d*x^5*e + 3/5*a*c*d^2*x^5*e + 1/3*a*c^3*f*x^3 + 1/3*b*c^3*x^3*e + a*c^2*d*x^3*e + a*c^3*x*e","A",0
19,1,307,0,0.493597," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e),x, algorithm=""giac"")","\frac{{\left(a c^{3} f^{4} - b c^{3} f^{3} e - 3 \, a c^{2} d f^{3} e + 3 \, b c^{2} d f^{2} e^{2} + 3 \, a c d^{2} f^{2} e^{2} - 3 \, b c d^{2} f e^{3} - a d^{3} f e^{3} + b d^{3} e^{4}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{1}{2}\right)}}{f^{\frac{9}{2}}} + \frac{15 \, b d^{3} f^{6} x^{7} + 63 \, b c d^{2} f^{6} x^{5} + 21 \, a d^{3} f^{6} x^{5} - 21 \, b d^{3} f^{5} x^{5} e + 105 \, b c^{2} d f^{6} x^{3} + 105 \, a c d^{2} f^{6} x^{3} - 105 \, b c d^{2} f^{5} x^{3} e - 35 \, a d^{3} f^{5} x^{3} e + 35 \, b d^{3} f^{4} x^{3} e^{2} + 105 \, b c^{3} f^{6} x + 315 \, a c^{2} d f^{6} x - 315 \, b c^{2} d f^{5} x e - 315 \, a c d^{2} f^{5} x e + 315 \, b c d^{2} f^{4} x e^{2} + 105 \, a d^{3} f^{4} x e^{2} - 105 \, b d^{3} f^{3} x e^{3}}{105 \, f^{7}}"," ",0,"(a*c^3*f^4 - b*c^3*f^3*e - 3*a*c^2*d*f^3*e + 3*b*c^2*d*f^2*e^2 + 3*a*c*d^2*f^2*e^2 - 3*b*c*d^2*f*e^3 - a*d^3*f*e^3 + b*d^3*e^4)*arctan(sqrt(f)*x*e^(-1/2))*e^(-1/2)/f^(9/2) + 1/105*(15*b*d^3*f^6*x^7 + 63*b*c*d^2*f^6*x^5 + 21*a*d^3*f^6*x^5 - 21*b*d^3*f^5*x^5*e + 105*b*c^2*d*f^6*x^3 + 105*a*c*d^2*f^6*x^3 - 105*b*c*d^2*f^5*x^3*e - 35*a*d^3*f^5*x^3*e + 35*b*d^3*f^4*x^3*e^2 + 105*b*c^3*f^6*x + 315*a*c^2*d*f^6*x - 315*b*c^2*d*f^5*x*e - 315*a*c*d^2*f^5*x*e + 315*b*c*d^2*f^4*x*e^2 + 105*a*d^3*f^4*x*e^2 - 105*b*d^3*f^3*x*e^3)/f^7","A",0
20,1,321,0,0.370388," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e)^2,x, algorithm=""giac"")","\frac{{\left(a c^{3} f^{4} + b c^{3} f^{3} e + 3 \, a c^{2} d f^{3} e - 9 \, b c^{2} d f^{2} e^{2} - 9 \, a c d^{2} f^{2} e^{2} + 15 \, b c d^{2} f e^{3} + 5 \, a d^{3} f e^{3} - 7 \, b d^{3} e^{4}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{3}{2}\right)}}{2 \, f^{\frac{9}{2}}} + \frac{{\left(a c^{3} f^{4} x - b c^{3} f^{3} x e - 3 \, a c^{2} d f^{3} x e + 3 \, b c^{2} d f^{2} x e^{2} + 3 \, a c d^{2} f^{2} x e^{2} - 3 \, b c d^{2} f x e^{3} - a d^{3} f x e^{3} + b d^{3} x e^{4}\right)} e^{\left(-1\right)}}{2 \, {\left(f x^{2} + e\right)} f^{4}} + \frac{3 \, b d^{3} f^{8} x^{5} + 15 \, b c d^{2} f^{8} x^{3} + 5 \, a d^{3} f^{8} x^{3} - 10 \, b d^{3} f^{7} x^{3} e + 45 \, b c^{2} d f^{8} x + 45 \, a c d^{2} f^{8} x - 90 \, b c d^{2} f^{7} x e - 30 \, a d^{3} f^{7} x e + 45 \, b d^{3} f^{6} x e^{2}}{15 \, f^{10}}"," ",0,"1/2*(a*c^3*f^4 + b*c^3*f^3*e + 3*a*c^2*d*f^3*e - 9*b*c^2*d*f^2*e^2 - 9*a*c*d^2*f^2*e^2 + 15*b*c*d^2*f*e^3 + 5*a*d^3*f*e^3 - 7*b*d^3*e^4)*arctan(sqrt(f)*x*e^(-1/2))*e^(-3/2)/f^(9/2) + 1/2*(a*c^3*f^4*x - b*c^3*f^3*x*e - 3*a*c^2*d*f^3*x*e + 3*b*c^2*d*f^2*x*e^2 + 3*a*c*d^2*f^2*x*e^2 - 3*b*c*d^2*f*x*e^3 - a*d^3*f*x*e^3 + b*d^3*x*e^4)*e^(-1)/((f*x^2 + e)*f^4) + 1/15*(3*b*d^3*f^8*x^5 + 15*b*c*d^2*f^8*x^3 + 5*a*d^3*f^8*x^3 - 10*b*d^3*f^7*x^3*e + 45*b*c^2*d*f^8*x + 45*a*c*d^2*f^8*x - 90*b*c*d^2*f^7*x*e - 30*a*d^3*f^7*x*e + 45*b*d^3*f^6*x*e^2)/f^10","A",0
21,1,371,0,0.386593," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e)^3,x, algorithm=""giac"")","\frac{{\left(3 \, a c^{3} f^{4} + b c^{3} f^{3} e + 3 \, a c^{2} d f^{3} e + 9 \, b c^{2} d f^{2} e^{2} + 9 \, a c d^{2} f^{2} e^{2} - 45 \, b c d^{2} f e^{3} - 15 \, a d^{3} f e^{3} + 35 \, b d^{3} e^{4}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{5}{2}\right)}}{8 \, f^{\frac{9}{2}}} + \frac{{\left(3 \, a c^{3} f^{5} x^{3} + b c^{3} f^{4} x^{3} e + 3 \, a c^{2} d f^{4} x^{3} e - 15 \, b c^{2} d f^{3} x^{3} e^{2} - 15 \, a c d^{2} f^{3} x^{3} e^{2} + 27 \, b c d^{2} f^{2} x^{3} e^{3} + 9 \, a d^{3} f^{2} x^{3} e^{3} + 5 \, a c^{3} f^{4} x e - 13 \, b d^{3} f x^{3} e^{4} - b c^{3} f^{3} x e^{2} - 3 \, a c^{2} d f^{3} x e^{2} - 9 \, b c^{2} d f^{2} x e^{3} - 9 \, a c d^{2} f^{2} x e^{3} + 21 \, b c d^{2} f x e^{4} + 7 \, a d^{3} f x e^{4} - 11 \, b d^{3} x e^{5}\right)} e^{\left(-2\right)}}{8 \, {\left(f x^{2} + e\right)}^{2} f^{4}} + \frac{b d^{3} f^{6} x^{3} + 9 \, b c d^{2} f^{6} x + 3 \, a d^{3} f^{6} x - 9 \, b d^{3} f^{5} x e}{3 \, f^{9}}"," ",0,"1/8*(3*a*c^3*f^4 + b*c^3*f^3*e + 3*a*c^2*d*f^3*e + 9*b*c^2*d*f^2*e^2 + 9*a*c*d^2*f^2*e^2 - 45*b*c*d^2*f*e^3 - 15*a*d^3*f*e^3 + 35*b*d^3*e^4)*arctan(sqrt(f)*x*e^(-1/2))*e^(-5/2)/f^(9/2) + 1/8*(3*a*c^3*f^5*x^3 + b*c^3*f^4*x^3*e + 3*a*c^2*d*f^4*x^3*e - 15*b*c^2*d*f^3*x^3*e^2 - 15*a*c*d^2*f^3*x^3*e^2 + 27*b*c*d^2*f^2*x^3*e^3 + 9*a*d^3*f^2*x^3*e^3 + 5*a*c^3*f^4*x*e - 13*b*d^3*f*x^3*e^4 - b*c^3*f^3*x*e^2 - 3*a*c^2*d*f^3*x*e^2 - 9*b*c^2*d*f^2*x*e^3 - 9*a*c*d^2*f^2*x*e^3 + 21*b*c*d^2*f*x*e^4 + 7*a*d^3*f*x*e^4 - 11*b*d^3*x*e^5)*e^(-2)/((f*x^2 + e)^2*f^4) + 1/3*(b*d^3*f^6*x^3 + 9*b*c*d^2*f^6*x + 3*a*d^3*f^6*x - 9*b*d^3*f^5*x*e)/f^9","A",0
22,1,447,0,0.367959," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e)^4,x, algorithm=""giac"")","\frac{b d^{3} x}{f^{4}} + \frac{{\left(5 \, a c^{3} f^{4} + b c^{3} f^{3} e + 3 \, a c^{2} d f^{3} e + 3 \, b c^{2} d f^{2} e^{2} + 3 \, a c d^{2} f^{2} e^{2} + 15 \, b c d^{2} f e^{3} + 5 \, a d^{3} f e^{3} - 35 \, b d^{3} e^{4}\right)} \arctan\left(\sqrt{f} x e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{7}{2}\right)}}{16 \, f^{\frac{9}{2}}} + \frac{{\left(15 \, a c^{3} f^{6} x^{5} + 3 \, b c^{3} f^{5} x^{5} e + 9 \, a c^{2} d f^{5} x^{5} e + 9 \, b c^{2} d f^{4} x^{5} e^{2} + 9 \, a c d^{2} f^{4} x^{5} e^{2} - 99 \, b c d^{2} f^{3} x^{5} e^{3} - 33 \, a d^{3} f^{3} x^{5} e^{3} + 40 \, a c^{3} f^{5} x^{3} e + 87 \, b d^{3} f^{2} x^{5} e^{4} + 8 \, b c^{3} f^{4} x^{3} e^{2} + 24 \, a c^{2} d f^{4} x^{3} e^{2} - 24 \, b c^{2} d f^{3} x^{3} e^{3} - 24 \, a c d^{2} f^{3} x^{3} e^{3} - 120 \, b c d^{2} f^{2} x^{3} e^{4} - 40 \, a d^{3} f^{2} x^{3} e^{4} + 33 \, a c^{3} f^{4} x e^{2} + 136 \, b d^{3} f x^{3} e^{5} - 3 \, b c^{3} f^{3} x e^{3} - 9 \, a c^{2} d f^{3} x e^{3} - 9 \, b c^{2} d f^{2} x e^{4} - 9 \, a c d^{2} f^{2} x e^{4} - 45 \, b c d^{2} f x e^{5} - 15 \, a d^{3} f x e^{5} + 57 \, b d^{3} x e^{6}\right)} e^{\left(-3\right)}}{48 \, {\left(f x^{2} + e\right)}^{3} f^{4}}"," ",0,"b*d^3*x/f^4 + 1/16*(5*a*c^3*f^4 + b*c^3*f^3*e + 3*a*c^2*d*f^3*e + 3*b*c^2*d*f^2*e^2 + 3*a*c*d^2*f^2*e^2 + 15*b*c*d^2*f*e^3 + 5*a*d^3*f*e^3 - 35*b*d^3*e^4)*arctan(sqrt(f)*x*e^(-1/2))*e^(-7/2)/f^(9/2) + 1/48*(15*a*c^3*f^6*x^5 + 3*b*c^3*f^5*x^5*e + 9*a*c^2*d*f^5*x^5*e + 9*b*c^2*d*f^4*x^5*e^2 + 9*a*c*d^2*f^4*x^5*e^2 - 99*b*c*d^2*f^3*x^5*e^3 - 33*a*d^3*f^3*x^5*e^3 + 40*a*c^3*f^5*x^3*e + 87*b*d^3*f^2*x^5*e^4 + 8*b*c^3*f^4*x^3*e^2 + 24*a*c^2*d*f^4*x^3*e^2 - 24*b*c^2*d*f^3*x^3*e^3 - 24*a*c*d^2*f^3*x^3*e^3 - 120*b*c*d^2*f^2*x^3*e^4 - 40*a*d^3*f^2*x^3*e^4 + 33*a*c^3*f^4*x*e^2 + 136*b*d^3*f*x^3*e^5 - 3*b*c^3*f^3*x*e^3 - 9*a*c^2*d*f^3*x*e^3 - 9*b*c^2*d*f^2*x*e^4 - 9*a*c*d^2*f^2*x*e^4 - 45*b*c*d^2*f*x*e^5 - 15*a*d^3*f*x*e^5 + 57*b*d^3*x*e^6)*e^(-3)/((f*x^2 + e)^3*f^4)","A",0
23,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(3/2)*(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{3}{2}} \sqrt{f x^{2} + e}\,{d x}"," ",0,"integrate((b*x^2 + a)*(d*x^2 + c)^(3/2)*sqrt(f*x^2 + e), x)","F",0
24,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(1/2)*(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)} \sqrt{d x^{2} + c} \sqrt{f x^{2} + e}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(d*x^2 + c)*sqrt(f*x^2 + e), x)","F",0
25,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(1/2)/(d*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + e}}{\sqrt{d x^{2} + c}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(f*x^2 + e)/sqrt(d*x^2 + c), x)","F",0
26,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(1/2)/(d*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + e}}{{\left(d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(f*x^2 + e)/(d*x^2 + c)^(3/2), x)","F",0
27,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(1/2)/(d*x^2+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + e}}{{\left(d x^{2} + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(f*x^2 + e)/(d*x^2 + c)^(5/2), x)","F",0
28,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(1/2)/(d*x^2+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + e}}{{\left(d x^{2} + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(f*x^2 + e)/(d*x^2 + c)^(7/2), x)","F",0
29,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(1/2)*(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)} \sqrt{d x^{2} + c} {\left(f x^{2} + e\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(d*x^2 + c)*(f*x^2 + e)^(3/2), x)","F",0
30,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(3/2)/(d*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}{\sqrt{d x^{2} + c}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(f*x^2 + e)^(3/2)/sqrt(d*x^2 + c), x)","F",0
31,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(3/2)/(d*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(f*x^2 + e)^(3/2)/(d*x^2 + c)^(3/2), x)","F",0
32,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(3/2)/(d*x^2+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(d x^{2} + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(f*x^2 + e)^(3/2)/(d*x^2 + c)^(5/2), x)","F",0
33,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(3/2)/(d*x^2+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(d x^{2} + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(f*x^2 + e)^(3/2)/(d*x^2 + c)^(7/2), x)","F",0
34,0,0,0,0.000000," ","integrate((b*x^2+a)*(f*x^2+e)^(3/2)/(d*x^2+c)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(d x^{2} + c\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(f*x^2 + e)^(3/2)/(d*x^2 + c)^(9/2), x)","F",0
35,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(5/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{5}{2}}}{\sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(d*x^2 + c)^(5/2)/sqrt(f*x^2 + e), x)","F",0
36,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(3/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{3}{2}}}{\sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(d*x^2 + c)^(3/2)/sqrt(f*x^2 + e), x)","F",0
37,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + c}}{\sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(d*x^2 + c)/sqrt(f*x^2 + e), x)","F",0
38,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{\sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)/(sqrt(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
39,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)^(3/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{{\left(d x^{2} + c\right)}^{\frac{3}{2}} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)/((d*x^2 + c)^(3/2)*sqrt(f*x^2 + e)), x)","F",0
40,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)^(5/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{{\left(d x^{2} + c\right)}^{\frac{5}{2}} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)/((d*x^2 + c)^(5/2)*sqrt(f*x^2 + e)), x)","F",0
41,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)^(7/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{{\left(d x^{2} + c\right)}^{\frac{7}{2}} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)/((d*x^2 + c)^(7/2)*sqrt(f*x^2 + e)), x)","F",0
42,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(5/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{5}{2}}}{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(d*x^2 + c)^(5/2)/(f*x^2 + e)^(3/2), x)","F",0
43,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(3/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{3}{2}}}{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*(d*x^2 + c)^(3/2)/(f*x^2 + e)^(3/2), x)","F",0
44,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(1/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + c}}{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(d*x^2 + c)/(f*x^2 + e)^(3/2), x)","F",0
45,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)^(1/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{\sqrt{d x^{2} + c} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)/(sqrt(d*x^2 + c)*(f*x^2 + e)^(3/2)), x)","F",0
46,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)^(3/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{{\left(d x^{2} + c\right)}^{\frac{3}{2}} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)/((d*x^2 + c)^(3/2)*(f*x^2 + e)^(3/2)), x)","F",0
47,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)^(5/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{{\left(d x^{2} + c\right)}^{\frac{5}{2}} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)/((d*x^2 + c)^(5/2)*(f*x^2 + e)^(3/2)), x)","F",0
48,0,0,0,0.000000," ","integrate((f*x^2+e)/(d*x^2+c)^(3/2)/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{f x^{2} + e}{\sqrt{b x^{2} + a} {\left(d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((f*x^2 + e)/(sqrt(b*x^2 + a)*(d*x^2 + c)^(3/2)), x)","F",0
49,0,0,0,0.000000," ","integrate((f*x^2+e)/(d*x^2+c)^(3/2)/(-b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{f x^{2} + e}{\sqrt{-b x^{2} + a} {\left(d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((f*x^2 + e)/(sqrt(-b*x^2 + a)*(d*x^2 + c)^(3/2)), x)","F",0
50,0,0,0,0.000000," ","integrate((f*x^2+e)/(-d*x^2+c)^(3/2)/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{f x^{2} + e}{\sqrt{b x^{2} + a} {\left(-d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((f*x^2 + e)/(sqrt(b*x^2 + a)*(-d*x^2 + c)^(3/2)), x)","F",0
51,0,0,0,0.000000," ","integrate((f*x^2+e)/(-d*x^2+c)^(3/2)/(-b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{f x^{2} + e}{\sqrt{-b x^{2} + a} {\left(-d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((f*x^2 + e)/(sqrt(-b*x^2 + a)*(-d*x^2 + c)^(3/2)), x)","F",0
52,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+2)^(1/2)/(f*x^2+3)^(1/2),x, algorithm=""giac"")","\int \frac{b x^{2} + a}{\sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}}\,{d x}"," ",0,"integrate((b*x^2 + a)/(sqrt(d*x^2 + 2)*sqrt(f*x^2 + 3)), x)","F",0
53,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+2)^(1/2)/(f*x^2+3)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + 2}}{\sqrt{f x^{2} + 3}}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(d*x^2 + 2)/sqrt(f*x^2 + 3), x)","F",0
54,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+2)^(1/2)*(f*x^2+3)^(1/2),x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)} \sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(d*x^2 + 2)*sqrt(f*x^2 + 3), x)","F",0
55,-2,0,0,0.000000," ","integrate((-b+2*c*x^2-(-4*a*c+b^2)^(1/2))/(1+2*c*x^2/(-b-(-4*a*c+b^2)^(1/2)))^(1/2)/(1+2*c*x^2/(-b+(-4*a*c+b^2)^(1/2)))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [18.6420984049,-49,-86]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [35.2935628123,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [73.519035968,-9,-13]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [62.4600259969,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [85.089694743,0,0]Warning, choosing root of [1,0,%%%{8,[1,1,0]%%%}+%%%{-4,[1,0,0]%%%}+%%%{-2,[0,0,2]%%%},0,%%%{16,[2,2,0]%%%}+%%%{16,[2,1,0]%%%}+%%%{4,[2,0,0]%%%}+%%%{-8,[1,1,2]%%%}+%%%{-4,[1,0,2]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [-33,-70,8]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [82.7280518371,-80,-23]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [8.05231268331,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [39.9828299829,91,31]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [94.1262030317,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [91.6686590291,0,0]Warning, choosing root of [1,0,%%%{8,[1,1,0]%%%}+%%%{-4,[1,0,0]%%%}+%%%{-2,[0,0,2]%%%},0,%%%{16,[2,2,0]%%%}+%%%{16,[2,1,0]%%%}+%%%{4,[2,0,0]%%%}+%%%{-8,[1,1,2]%%%}+%%%{-4,[1,0,2]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [-88,9,6]Evaluation time: 22.75"Done"","F(-2)",0
56,-2,0,0,0.000000," ","integrate((2*c*x^2-(-4*a*c+b^2)^(1/2)+b)/(1+2*c*x^2/(b-(-4*a*c+b^2)^(1/2)))^(1/2)/(1+2*c*x^2/(b+(-4*a*c+b^2)^(1/2)))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [18.6420984049,-49,-86]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [35.2935628123,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [73.519035968,-9,-13]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [62.4600259969,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [44.0604346301,0,0]Warning, choosing root of [1,0,%%%{8,[1,1,0]%%%}+%%%{-4,[1,0,0]%%%}+%%%{-2,[0,0,2]%%%},0,%%%{16,[2,2,0]%%%}+%%%{16,[2,1,0]%%%}+%%%{4,[2,0,0]%%%}+%%%{-8,[1,1,2]%%%}+%%%{-4,[1,0,2]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [-33,-70,8]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [82.7280518371,-80,-23]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [8.05231268331,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [39.9828299829,91,31]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [94.1262030317,0,0]Warning, choosing root of [1,0,%%%{8,[1,0,1]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,2,0]%%%},0,%%%{16,[2,0,2]%%%}+%%%{8,[2,0,1]%%%}+%%%{1,[2,0,0]%%%}+%%%{-8,[1,2,1]%%%}+%%%{-2,[1,2,0]%%%}+%%%{1,[0,4,0]%%%}] at parameters values [4.67823357787,0,0]Warning, choosing root of [1,0,%%%{8,[1,1,0]%%%}+%%%{-4,[1,0,0]%%%}+%%%{-2,[0,0,2]%%%},0,%%%{16,[2,2,0]%%%}+%%%{16,[2,1,0]%%%}+%%%{4,[2,0,0]%%%}+%%%{-8,[1,1,2]%%%}+%%%{-4,[1,0,2]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [-88,9,6]Evaluation time: 23.13"Done"","F(-2)",0
57,-2,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(1/2)/(f*x^2+e),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
58,-2,0,0,0.000000," ","integrate((b*x^2+a)^3/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
59,-2,0,0,0.000000," ","integrate((b*x^2+a)^2/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
60,-2,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
61,1,74,0,0.363027," ","integrate(1/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{f} \arctan\left(\frac{{\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} d + 2 \, c f - d e}{2 \, \sqrt{-c^{2} f^{2} + c d f e}}\right)}{\sqrt{-c^{2} f^{2} + c d f e}}"," ",0,"-sqrt(f)*arctan(1/2*((sqrt(f)*x - sqrt(f*x^2 + e))^2*d + 2*c*f - d*e)/sqrt(-c^2*f^2 + c*d*f*e))/sqrt(-c^2*f^2 + c*d*f*e)","A",0
62,1,173,0,0.524493," ","integrate(1/(b*x^2+a)/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","-f^{\frac{3}{2}} {\left(\frac{b \arctan\left(\frac{{\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} b + 2 \, a f - b e}{2 \, \sqrt{-a^{2} f^{2} + a b f e}}\right)}{\sqrt{-a^{2} f^{2} + a b f e} {\left(b c f - a d f\right)}} - \frac{d \arctan\left(\frac{{\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} d + 2 \, c f - d e}{2 \, \sqrt{-c^{2} f^{2} + c d f e}}\right)}{\sqrt{-c^{2} f^{2} + c d f e} {\left(b c f - a d f\right)}}\right)}"," ",0,"-f^(3/2)*(b*arctan(1/2*((sqrt(f)*x - sqrt(f*x^2 + e))^2*b + 2*a*f - b*e)/sqrt(-a^2*f^2 + a*b*f*e))/(sqrt(-a^2*f^2 + a*b*f*e)*(b*c*f - a*d*f)) - d*arctan(1/2*((sqrt(f)*x - sqrt(f*x^2 + e))^2*d + 2*c*f - d*e)/sqrt(-c^2*f^2 + c*d*f*e))/(sqrt(-c^2*f^2 + c*d*f*e)*(b*c*f - a*d*f)))","A",0
63,1,479,0,26.048706," ","integrate(1/(b*x^2+a)^2/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{2 \, d^{2} \arctan\left(\frac{{\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} d + 2 \, c f - d e}{2 \, \sqrt{-c^{2} f^{2} + c d f e}}\right)}{{\left(b^{2} c^{2} f^{2} - 2 \, a b c d f^{2} + a^{2} d^{2} f^{2}\right)} \sqrt{-c^{2} f^{2} + c d f e}} + \frac{{\left(2 \, a b^{2} c f - 4 \, a^{2} b d f - b^{3} c e + 3 \, a b^{2} d e\right)} \arctan\left(\frac{{\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} b + 2 \, a f - b e}{2 \, \sqrt{-a^{2} f^{2} + a b f e}}\right)}{{\left(a^{2} b^{2} c^{2} f^{3} - 2 \, a^{3} b c d f^{3} + a^{4} d^{2} f^{3} - a b^{3} c^{2} f^{2} e + 2 \, a^{2} b^{2} c d f^{2} e - a^{3} b d^{2} f^{2} e\right)} \sqrt{-a^{2} f^{2} + a b f e}} + \frac{2 \, {\left(2 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} a b f - {\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} b^{2} e + b^{2} e^{2}\right)}}{{\left(a^{2} b c f^{3} - a^{3} d f^{3} - a b^{2} c f^{2} e + a^{2} b d f^{2} e\right)} {\left({\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{4} b + 4 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} a f - 2 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + e}\right)}^{2} b e + b e^{2}\right)}}\right)} f^{\frac{5}{2}}"," ",0,"-1/2*(2*d^2*arctan(1/2*((sqrt(f)*x - sqrt(f*x^2 + e))^2*d + 2*c*f - d*e)/sqrt(-c^2*f^2 + c*d*f*e))/((b^2*c^2*f^2 - 2*a*b*c*d*f^2 + a^2*d^2*f^2)*sqrt(-c^2*f^2 + c*d*f*e)) + (2*a*b^2*c*f - 4*a^2*b*d*f - b^3*c*e + 3*a*b^2*d*e)*arctan(1/2*((sqrt(f)*x - sqrt(f*x^2 + e))^2*b + 2*a*f - b*e)/sqrt(-a^2*f^2 + a*b*f*e))/((a^2*b^2*c^2*f^3 - 2*a^3*b*c*d*f^3 + a^4*d^2*f^3 - a*b^3*c^2*f^2*e + 2*a^2*b^2*c*d*f^2*e - a^3*b*d^2*f^2*e)*sqrt(-a^2*f^2 + a*b*f*e)) + 2*(2*(sqrt(f)*x - sqrt(f*x^2 + e))^2*a*b*f - (sqrt(f)*x - sqrt(f*x^2 + e))^2*b^2*e + b^2*e^2)/((a^2*b*c*f^3 - a^3*d*f^3 - a*b^2*c*f^2*e + a^2*b*d*f^2*e)*((sqrt(f)*x - sqrt(f*x^2 + e))^4*b + 4*(sqrt(f)*x - sqrt(f*x^2 + e))^2*a*f - 2*(sqrt(f)*x - sqrt(f*x^2 + e))^2*b*e + b*e^2)))*f^(5/2)","B",0
64,0,0,0,0.000000," ","integrate((d*x^2+c)^(5/2)*(f*x^2+e)^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{{\left(d x^{2} + c\right)}^{\frac{5}{2}} \sqrt{f x^{2} + e}}{b x^{2} + a}\,{d x}"," ",0,"integrate((d*x^2 + c)^(5/2)*sqrt(f*x^2 + e)/(b*x^2 + a), x)","F",0
65,0,0,0,0.000000," ","integrate((d*x^2+c)^(3/2)*(f*x^2+e)^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} \sqrt{f x^{2} + e}}{b x^{2} + a}\,{d x}"," ",0,"integrate((d*x^2 + c)^(3/2)*sqrt(f*x^2 + e)/(b*x^2 + a), x)","F",0
66,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)*(f*x^2+e)^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}{b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)*sqrt(f*x^2 + e)/(b*x^2 + a), x)","F",0
67,0,0,0,0.000000," ","integrate((f*x^2+e)^(1/2)/(b*x^2+a)/(d*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{f x^{2} + e}}{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + c}}\,{d x}"," ",0,"integrate(sqrt(f*x^2 + e)/((b*x^2 + a)*sqrt(d*x^2 + c)), x)","F",0
68,0,0,0,0.000000," ","integrate((f*x^2+e)^(1/2)/(b*x^2+a)/(d*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{f x^{2} + e}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(f*x^2 + e)/((b*x^2 + a)*(d*x^2 + c)^(3/2)), x)","F",0
69,0,0,0,0.000000," ","integrate((f*x^2+e)^(1/2)/(b*x^2+a)/(d*x^2+c)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{f x^{2} + e}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(f*x^2 + e)/((b*x^2 + a)*(d*x^2 + c)^(5/2)), x)","F",0
70,0,0,0,0.000000," ","integrate((f*x^2+e)^(1/2)/(b*x^2+a)/(d*x^2+c)^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{f x^{2} + e}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(f*x^2 + e)/((b*x^2 + a)*(d*x^2 + c)^(7/2)), x)","F",0
71,0,0,0,0.000000," ","integrate((d*x^2+c)^(3/2)*(f*x^2+e)^(3/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}{b x^{2} + a}\,{d x}"," ",0,"integrate((d*x^2 + c)^(3/2)*(f*x^2 + e)^(3/2)/(b*x^2 + a), x)","F",0
72,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)*(f*x^2+e)^(3/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}{b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)*(f*x^2 + e)^(3/2)/(b*x^2 + a), x)","F",0
73,0,0,0,0.000000," ","integrate((f*x^2+e)^(3/2)/(b*x^2+a)/(d*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + c}}\,{d x}"," ",0,"integrate((f*x^2 + e)^(3/2)/((b*x^2 + a)*sqrt(d*x^2 + c)), x)","F",0
74,0,0,0,0.000000," ","integrate((f*x^2+e)^(3/2)/(b*x^2+a)/(d*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((f*x^2 + e)^(3/2)/((b*x^2 + a)*(d*x^2 + c)^(3/2)), x)","F",0
75,0,0,0,0.000000," ","integrate((f*x^2+e)^(3/2)/(b*x^2+a)/(d*x^2+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((f*x^2 + e)^(3/2)/((b*x^2 + a)*(d*x^2 + c)^(5/2)), x)","F",0
76,0,0,0,0.000000," ","integrate((f*x^2+e)^(3/2)/(b*x^2+a)/(d*x^2+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((f*x^2 + e)^(3/2)/((b*x^2 + a)*(d*x^2 + c)^(7/2)), x)","F",0
77,0,0,0,0.000000," ","integrate((d*x^2+c)^(5/2)/(b*x^2+a)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x^{2} + c\right)}^{\frac{5}{2}}}{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((d*x^2 + c)^(5/2)/((b*x^2 + a)*sqrt(f*x^2 + e)), x)","F",0
78,0,0,0,0.000000," ","integrate((d*x^2+c)^(3/2)/(b*x^2+a)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}}}{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((d*x^2 + c)^(3/2)/((b*x^2 + a)*sqrt(f*x^2 + e)), x)","F",0
79,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)/(b*x^2+a)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c}}{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)/((b*x^2 + a)*sqrt(f*x^2 + e)), x)","F",0
80,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*sqrt(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
81,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+c)^(3/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{3}{2}} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*(d*x^2 + c)^(3/2)*sqrt(f*x^2 + e)), x)","F",0
82,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+c)^(5/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{5}{2}} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*(d*x^2 + c)^(5/2)*sqrt(f*x^2 + e)), x)","F",0
83,0,0,0,0.000000," ","integrate((d*x^2+c)^(5/2)/(b*x^2+a)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d x^{2} + c\right)}^{\frac{5}{2}}}{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x^2 + c)^(5/2)/((b*x^2 + a)*(f*x^2 + e)^(3/2)), x)","F",0
84,0,0,0,0.000000," ","integrate((d*x^2+c)^(3/2)/(b*x^2+a)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}}}{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x^2 + c)^(3/2)/((b*x^2 + a)*(f*x^2 + e)^(3/2)), x)","F",0
85,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)/(b*x^2+a)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c}}{{\left(b x^{2} + a\right)} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)/((b*x^2 + a)*(f*x^2 + e)^(3/2)), x)","F",0
86,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+c)^(1/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + c} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*sqrt(d*x^2 + c)*(f*x^2 + e)^(3/2)), x)","F",0
87,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+c)^(3/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{3}{2}} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*(d*x^2 + c)^(3/2)*(f*x^2 + e)^(3/2)), x)","F",0
88,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+c)^(5/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{\frac{5}{2}} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*(d*x^2 + c)^(5/2)*(f*x^2 + e)^(3/2)), x)","F",0
89,0,0,0,0.000000," ","integrate((x^2+1)^(3/2)*(x^2+2)^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + 2} {\left(x^{2} + 1\right)}^{\frac{3}{2}}}{b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(x^2 + 2)*(x^2 + 1)^(3/2)/(b*x^2 + a), x)","F",0
90,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)*(x^2+2)^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + 2} \sqrt{x^{2} + 1}}{b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(x^2 + 2)*sqrt(x^2 + 1)/(b*x^2 + a), x)","F",0
91,0,0,0,0.000000," ","integrate((x^2+2)^(1/2)/(x^2+1)^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + 2}}{{\left(b x^{2} + a\right)} \sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 2)/((b*x^2 + a)*sqrt(x^2 + 1)), x)","F",0
92,0,0,0,0.000000," ","integrate((x^2+2)^(1/2)/(x^2+1)^(3/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + 2}}{{\left(b x^{2} + a\right)} {\left(x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 2)/((b*x^2 + a)*(x^2 + 1)^(3/2)), x)","F",0
93,0,0,0,0.000000," ","integrate((x^2+2)^(1/2)/(x^2+1)^(5/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + 2}}{{\left(b x^{2} + a\right)} {\left(x^{2} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 2)/((b*x^2 + a)*(x^2 + 1)^(5/2)), x)","F",0
94,0,0,0,0.000000," ","integrate((d*x^2+2)^(1/2)*(f*x^2+3)^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}}{b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + 2)*sqrt(f*x^2 + 3)/(b*x^2 + a), x)","F",0
95,0,0,0,0.000000," ","integrate((d*x^2+2)^(1/2)/(b*x^2+a)/(f*x^2+3)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + 2}}{{\left(b x^{2} + a\right)} \sqrt{f x^{2} + 3}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + 2)/((b*x^2 + a)*sqrt(f*x^2 + 3)), x)","F",0
96,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+2)^(1/2)/(f*x^2+3)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*sqrt(d*x^2 + 2)*sqrt(f*x^2 + 3)), x)","F",0
97,0,0,0,0.000000," ","integrate((-x^2+1)^(1/2)/(x^2-1)/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-x^{2} + 1}}{\sqrt{b x^{2} + a} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)/(sqrt(b*x^2 + a)*(x^2 - 1)), x)","F",0
98,1,336,0,3.395043," ","integrate((b*x^2+a)/(f*x^2+e)^2/(d*x^2+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(a c \sqrt{d} f + b c \sqrt{d} e - 2 \, a d^{\frac{3}{2}} e\right)} \arctan\left(\frac{{\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{2} f - c f + 2 \, d e}{2 \, \sqrt{c d f e - d^{2} e^{2}}}\right)}{2 \, \sqrt{c d f e - d^{2} e^{2}} {\left(c f e - d e^{2}\right)}} - \frac{{\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{2} a c \sqrt{d} f^{2} - {\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{2} b c \sqrt{d} f e - 2 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{2} a d^{\frac{3}{2}} f e - a c^{2} \sqrt{d} f^{2} + 2 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{2} b d^{\frac{3}{2}} e^{2} + b c^{2} \sqrt{d} f e}{{\left({\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{4} f - 2 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{2} c f + 4 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + c}\right)}^{2} d e + c^{2} f\right)} {\left(c f^{2} e - d f e^{2}\right)}}"," ",0,"-1/2*(a*c*sqrt(d)*f + b*c*sqrt(d)*e - 2*a*d^(3/2)*e)*arctan(1/2*((sqrt(d)*x - sqrt(d*x^2 + c))^2*f - c*f + 2*d*e)/sqrt(c*d*f*e - d^2*e^2))/(sqrt(c*d*f*e - d^2*e^2)*(c*f*e - d*e^2)) - ((sqrt(d)*x - sqrt(d*x^2 + c))^2*a*c*sqrt(d)*f^2 - (sqrt(d)*x - sqrt(d*x^2 + c))^2*b*c*sqrt(d)*f*e - 2*(sqrt(d)*x - sqrt(d*x^2 + c))^2*a*d^(3/2)*f*e - a*c^2*sqrt(d)*f^2 + 2*(sqrt(d)*x - sqrt(d*x^2 + c))^2*b*d^(3/2)*e^2 + b*c^2*sqrt(d)*f*e)/(((sqrt(d)*x - sqrt(d*x^2 + c))^4*f - 2*(sqrt(d)*x - sqrt(d*x^2 + c))^2*c*f + 4*(sqrt(d)*x - sqrt(d*x^2 + c))^2*d*e + c^2*f)*(c*f^2*e - d*f*e^2))","B",0
99,0,0,0,0.000000," ","integrate((-d*x^2+c)^(1/2)*(f*x^2+e)^(1/2)/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{\sqrt{-d x^{2} + c} \sqrt{f x^{2} + e}}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(-d*x^2 + c)*sqrt(f*x^2 + e)/(b*x^2 + a)^2, x)","F",0
100,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)*(f*x^2+e)^(1/2)/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)*sqrt(f*x^2 + e)/(b*x^2 + a)^2, x)","F",0
101,-1,0,0,0.000000," ","integrate(1/(b*x^2+a)^2/(-d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^2/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{2} \sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^2*sqrt(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
103,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)*(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{d x^{2} + c}}{\sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)*sqrt(d*x^2 + c)/sqrt(f*x^2 + e), x)","F",0
104,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)*(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b x^{2} + a} \sqrt{d x^{2} + c}}{\sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)*sqrt(d*x^2 + c)/sqrt(f*x^2 + e), x)","F",0
105,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)/(b*x^2+a)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c}}{\sqrt{b x^{2} + a} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)/(sqrt(b*x^2 + a)*sqrt(f*x^2 + e)), x)","F",0
106,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)/(b*x^2+a)^(3/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)/((b*x^2 + a)^(3/2)*sqrt(f*x^2 + e)), x)","F",0
107,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)*(d*x^2+c)^(1/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{d x^{2} + c}}{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)*sqrt(d*x^2 + c)/(f*x^2 + e)^(3/2), x)","F",0
108,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)*(d*x^2+c)^(1/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{b x^{2} + a} \sqrt{d x^{2} + c}}{{\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)*sqrt(d*x^2 + c)/(f*x^2 + e)^(3/2), x)","F",0
109,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)/(b*x^2+a)^(1/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c}}{\sqrt{b x^{2} + a} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)/(sqrt(b*x^2 + a)*(f*x^2 + e)^(3/2)), x)","F",0
110,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)/(b*x^2+a)^(3/2)/(f*x^2+e)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} {\left(f x^{2} + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)/((b*x^2 + a)^(3/2)*(f*x^2 + e)^(3/2)), x)","F",0
111,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)*(f*x^2+e)^(1/2)/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)*sqrt(f*x^2 + e)/sqrt(b*x^2 + a), x)","F",0
112,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/(sqrt(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
113,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b x^{2} + a}}{\sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)/(sqrt(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
114,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(1/2)/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{2} + a} \sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*sqrt(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
115,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(3/2)/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{d x^{2} + c} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/2)*sqrt(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
