1,1,175,0,0.668043," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e)^4,x, algorithm=""maxima"")","\frac{1}{13} \, b d f^{4} x^{13} + \frac{1}{11} \, {\left(4 \, b d e f^{3} + {\left(b c + a d\right)} f^{4}\right)} x^{11} + \frac{1}{9} \, {\left(6 \, b d e^{2} f^{2} + a c f^{4} + 4 \, {\left(b c + a d\right)} e f^{3}\right)} x^{9} + \frac{2}{7} \, {\left(2 \, b d e^{3} f + 2 \, a c e f^{3} + 3 \, {\left(b c + a d\right)} e^{2} f^{2}\right)} x^{7} + a c e^{4} x + \frac{1}{5} \, {\left(b d e^{4} + 6 \, a c e^{2} f^{2} + 4 \, {\left(b c + a d\right)} e^{3} f\right)} x^{5} + \frac{1}{3} \, {\left(4 \, a c e^{3} f + {\left(b c + a d\right)} e^{4}\right)} x^{3}"," ",0,"1/13*b*d*f^4*x^13 + 1/11*(4*b*d*e*f^3 + (b*c + a*d)*f^4)*x^11 + 1/9*(6*b*d*e^2*f^2 + a*c*f^4 + 4*(b*c + a*d)*e*f^3)*x^9 + 2/7*(2*b*d*e^3*f + 2*a*c*e*f^3 + 3*(b*c + a*d)*e^2*f^2)*x^7 + a*c*e^4*x + 1/5*(b*d*e^4 + 6*a*c*e^2*f^2 + 4*(b*c + a*d)*e^3*f)*x^5 + 1/3*(4*a*c*e^3*f + (b*c + a*d)*e^4)*x^3","A",0
2,1,134,0,0.754092," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e)^3,x, algorithm=""maxima"")","\frac{1}{11} \, b d f^{3} x^{11} + \frac{1}{9} \, {\left(3 \, b d e f^{2} + {\left(b c + a d\right)} f^{3}\right)} x^{9} + \frac{1}{7} \, {\left(3 \, b d e^{2} f + a c f^{3} + 3 \, {\left(b c + a d\right)} e f^{2}\right)} x^{7} + a c e^{3} x + \frac{1}{5} \, {\left(b d e^{3} + 3 \, a c e f^{2} + 3 \, {\left(b c + a d\right)} e^{2} f\right)} x^{5} + \frac{1}{3} \, {\left(3 \, a c e^{2} f + {\left(b c + a d\right)} e^{3}\right)} x^{3}"," ",0,"1/11*b*d*f^3*x^11 + 1/9*(3*b*d*e*f^2 + (b*c + a*d)*f^3)*x^9 + 1/7*(3*b*d*e^2*f + a*c*f^3 + 3*(b*c + a*d)*e*f^2)*x^7 + a*c*e^3*x + 1/5*(b*d*e^3 + 3*a*c*e*f^2 + 3*(b*c + a*d)*e^2*f)*x^5 + 1/3*(3*a*c*e^2*f + (b*c + a*d)*e^3)*x^3","A",0
3,1,93,0,0.566073," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e)^2,x, algorithm=""maxima"")","\frac{1}{9} \, b d f^{2} x^{9} + \frac{1}{7} \, {\left(2 \, b d e f + {\left(b c + a d\right)} f^{2}\right)} x^{7} + \frac{1}{5} \, {\left(b d e^{2} + a c f^{2} + 2 \, {\left(b c + a d\right)} e f\right)} x^{5} + a c e^{2} x + \frac{1}{3} \, {\left(2 \, a c e f + {\left(b c + a d\right)} e^{2}\right)} x^{3}"," ",0,"1/9*b*d*f^2*x^9 + 1/7*(2*b*d*e*f + (b*c + a*d)*f^2)*x^7 + 1/5*(b*d*e^2 + a*c*f^2 + 2*(b*c + a*d)*e*f)*x^5 + a*c*e^2*x + 1/3*(2*a*c*e*f + (b*c + a*d)*e^2)*x^3","A",0
4,1,52,0,0.553535," ","integrate((b*x^2+a)*(d*x^2+c)*(f*x^2+e),x, algorithm=""maxima"")","\frac{1}{7} \, b d f x^{7} + \frac{1}{5} \, {\left(b d e + {\left(b c + a d\right)} f\right)} x^{5} + a c e x + \frac{1}{3} \, {\left(a c f + {\left(b c + a d\right)} e\right)} x^{3}"," ",0,"1/7*b*d*f*x^7 + 1/5*(b*d*e + (b*c + a*d)*f)*x^5 + a*c*e*x + 1/3*(a*c*f + (b*c + a*d)*e)*x^3","A",0
5,1,74,0,1.237315," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e),x, algorithm=""maxima"")","\frac{{\left(b d e^{2} + a c f^{2} - {\left(b c + a d\right)} e f\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{\sqrt{e f} f^{2}} + \frac{b d f x^{3} - 3 \, {\left(b d e - {\left(b c + a d\right)} f\right)} x}{3 \, f^{2}}"," ",0,"(b*d*e^2 + a*c*f^2 - (b*c + a*d)*e*f)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*f^2) + 1/3*(b*d*f*x^3 - 3*(b*d*e - (b*c + a*d)*f)*x)/f^2","A",0
6,1,101,0,1.204804," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e)^2,x, algorithm=""maxima"")","\frac{{\left(b d e^{2} + a c f^{2} - {\left(b c + a d\right)} e f\right)} x}{2 \, {\left(e f^{3} x^{2} + e^{2} f^{2}\right)}} + \frac{b d x}{f^{2}} - \frac{{\left(3 \, b d e^{2} - a c f^{2} - {\left(b c + a d\right)} e f\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{2 \, \sqrt{e f} e f^{2}}"," ",0,"1/2*(b*d*e^2 + a*c*f^2 - (b*c + a*d)*e*f)*x/(e*f^3*x^2 + e^2*f^2) + b*d*x/f^2 - 1/2*(3*b*d*e^2 - a*c*f^2 - (b*c + a*d)*e*f)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e*f^2)","A",0
7,1,145,0,1.431126," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, b d e^{2} f - 3 \, a c f^{3} - {\left(b c + a d\right)} e f^{2}\right)} x^{3} + {\left(3 \, b d e^{3} - 5 \, a c e f^{2} + {\left(b c + a d\right)} e^{2} f\right)} x}{8 \, {\left(e^{2} f^{4} x^{4} + 2 \, e^{3} f^{3} x^{2} + e^{4} f^{2}\right)}} + \frac{{\left(3 \, b d e^{2} + 3 \, a c f^{2} + {\left(b c + a d\right)} e f\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{8 \, \sqrt{e f} e^{2} f^{2}}"," ",0,"-1/8*((5*b*d*e^2*f - 3*a*c*f^3 - (b*c + a*d)*e*f^2)*x^3 + (3*b*d*e^3 - 5*a*c*e*f^2 + (b*c + a*d)*e^2*f)*x)/(e^2*f^4*x^4 + 2*e^3*f^3*x^2 + e^4*f^2) + 1/8*(3*b*d*e^2 + 3*a*c*f^2 + (b*c + a*d)*e*f)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e^2*f^2)","A",0
8,1,194,0,1.569781," ","integrate((b*x^2+a)*(d*x^2+c)/(f*x^2+e)^4,x, algorithm=""maxima"")","\frac{3 \, {\left(b d e^{2} f^{2} + 5 \, a c f^{4} + {\left(b c + a d\right)} e f^{3}\right)} x^{5} - 8 \, {\left(b d e^{3} f - 5 \, a c e f^{3} - {\left(b c + a d\right)} e^{2} f^{2}\right)} x^{3} - 3 \, {\left(b d e^{4} - 11 \, a c e^{2} f^{2} + {\left(b c + a d\right)} e^{3} f\right)} x}{48 \, {\left(e^{3} f^{5} x^{6} + 3 \, e^{4} f^{4} x^{4} + 3 \, e^{5} f^{3} x^{2} + e^{6} f^{2}\right)}} + \frac{{\left(b d e^{2} + 5 \, a c f^{2} + {\left(b c + a d\right)} e f\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{16 \, \sqrt{e f} e^{3} f^{2}}"," ",0,"1/48*(3*(b*d*e^2*f^2 + 5*a*c*f^4 + (b*c + a*d)*e*f^3)*x^5 - 8*(b*d*e^3*f - 5*a*c*e*f^3 - (b*c + a*d)*e^2*f^2)*x^3 - 3*(b*d*e^4 - 11*a*c*e^2*f^2 + (b*c + a*d)*e^3*f)*x)/(e^3*f^5*x^6 + 3*e^4*f^4*x^4 + 3*e^5*f^3*x^2 + e^6*f^2) + 1/16*(b*d*e^2 + 5*a*c*f^2 + (b*c + a*d)*e*f)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e^3*f^2)","A",0
9,1,236,0,0.633912," ","integrate((b*x^2+a)*(d*x^2+c)^2*(f*x^2+e)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b d^{2} f^{3} x^{13} + \frac{1}{11} \, {\left(3 \, b d^{2} e f^{2} + {\left(2 \, b c d + a d^{2}\right)} f^{3}\right)} x^{11} + \frac{1}{9} \, {\left(3 \, b d^{2} e^{2} f + 3 \, {\left(2 \, b c d + a d^{2}\right)} e f^{2} + {\left(b c^{2} + 2 \, a c d\right)} f^{3}\right)} x^{9} + \frac{1}{7} \, {\left(b d^{2} e^{3} + a c^{2} f^{3} + 3 \, {\left(2 \, b c d + a d^{2}\right)} e^{2} f + 3 \, {\left(b c^{2} + 2 \, a c d\right)} e f^{2}\right)} x^{7} + a c^{2} e^{3} x + \frac{1}{5} \, {\left(3 \, a c^{2} e f^{2} + {\left(2 \, b c d + a d^{2}\right)} e^{3} + 3 \, {\left(b c^{2} + 2 \, a c d\right)} e^{2} f\right)} x^{5} + \frac{1}{3} \, {\left(3 \, a c^{2} e^{2} f + {\left(b c^{2} + 2 \, a c d\right)} e^{3}\right)} x^{3}"," ",0,"1/13*b*d^2*f^3*x^13 + 1/11*(3*b*d^2*e*f^2 + (2*b*c*d + a*d^2)*f^3)*x^11 + 1/9*(3*b*d^2*e^2*f + 3*(2*b*c*d + a*d^2)*e*f^2 + (b*c^2 + 2*a*c*d)*f^3)*x^9 + 1/7*(b*d^2*e^3 + a*c^2*f^3 + 3*(2*b*c*d + a*d^2)*e^2*f + 3*(b*c^2 + 2*a*c*d)*e*f^2)*x^7 + a*c^2*e^3*x + 1/5*(3*a*c^2*e*f^2 + (2*b*c*d + a*d^2)*e^3 + 3*(b*c^2 + 2*a*c*d)*e^2*f)*x^5 + 1/3*(3*a*c^2*e^2*f + (b*c^2 + 2*a*c*d)*e^3)*x^3","A",0
10,1,168,0,0.614398," ","integrate((b*x^2+a)*(d*x^2+c)^2*(f*x^2+e)^2,x, algorithm=""maxima"")","\frac{1}{11} \, b d^{2} f^{2} x^{11} + \frac{1}{9} \, {\left(2 \, b d^{2} e f + {\left(2 \, b c d + a d^{2}\right)} f^{2}\right)} x^{9} + \frac{1}{7} \, {\left(b d^{2} e^{2} + 2 \, {\left(2 \, b c d + a d^{2}\right)} e f + {\left(b c^{2} + 2 \, a c d\right)} f^{2}\right)} x^{7} + a c^{2} e^{2} x + \frac{1}{5} \, {\left(a c^{2} f^{2} + {\left(2 \, b c d + a d^{2}\right)} e^{2} + 2 \, {\left(b c^{2} + 2 \, a c d\right)} e f\right)} x^{5} + \frac{1}{3} \, {\left(2 \, a c^{2} e f + {\left(b c^{2} + 2 \, a c d\right)} e^{2}\right)} x^{3}"," ",0,"1/11*b*d^2*f^2*x^11 + 1/9*(2*b*d^2*e*f + (2*b*c*d + a*d^2)*f^2)*x^9 + 1/7*(b*d^2*e^2 + 2*(2*b*c*d + a*d^2)*e*f + (b*c^2 + 2*a*c*d)*f^2)*x^7 + a*c^2*e^2*x + 1/5*(a*c^2*f^2 + (2*b*c*d + a*d^2)*e^2 + 2*(b*c^2 + 2*a*c*d)*e*f)*x^5 + 1/3*(2*a*c^2*e*f + (b*c^2 + 2*a*c*d)*e^2)*x^3","A",0
11,1,100,0,0.764926," ","integrate((b*x^2+a)*(d*x^2+c)^2*(f*x^2+e),x, algorithm=""maxima"")","\frac{1}{9} \, b d^{2} f x^{9} + \frac{1}{7} \, {\left(b d^{2} e + {\left(2 \, b c d + a d^{2}\right)} f\right)} x^{7} + \frac{1}{5} \, {\left({\left(2 \, b c d + a d^{2}\right)} e + {\left(b c^{2} + 2 \, a c d\right)} f\right)} x^{5} + a c^{2} e x + \frac{1}{3} \, {\left(a c^{2} f + {\left(b c^{2} + 2 \, a c d\right)} e\right)} x^{3}"," ",0,"1/9*b*d^2*f*x^9 + 1/7*(b*d^2*e + (2*b*c*d + a*d^2)*f)*x^7 + 1/5*((2*b*c*d + a*d^2)*e + (b*c^2 + 2*a*c*d)*f)*x^5 + a*c^2*e*x + 1/3*(a*c^2*f + (b*c^2 + 2*a*c*d)*e)*x^3","A",0
12,1,160,0,1.351474," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e),x, algorithm=""maxima"")","-\frac{{\left(b d^{2} e^{3} - a c^{2} f^{3} - {\left(2 \, b c d + a d^{2}\right)} e^{2} f + {\left(b c^{2} + 2 \, a c d\right)} e f^{2}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{\sqrt{e f} f^{3}} + \frac{3 \, b d^{2} f^{2} x^{5} - 5 \, {\left(b d^{2} e f - {\left(2 \, b c d + a d^{2}\right)} f^{2}\right)} x^{3} + 15 \, {\left(b d^{2} e^{2} - {\left(2 \, b c d + a d^{2}\right)} e f + {\left(b c^{2} + 2 \, a c d\right)} f^{2}\right)} x}{15 \, f^{3}}"," ",0,"-(b*d^2*e^3 - a*c^2*f^3 - (2*b*c*d + a*d^2)*e^2*f + (b*c^2 + 2*a*c*d)*e*f^2)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*f^3) + 1/15*(3*b*d^2*f^2*x^5 - 5*(b*d^2*e*f - (2*b*c*d + a*d^2)*f^2)*x^3 + 15*(b*d^2*e^2 - (2*b*c*d + a*d^2)*e*f + (b*c^2 + 2*a*c*d)*f^2)*x)/f^3","A",0
13,1,186,0,1.939102," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e)^2,x, algorithm=""maxima"")","-\frac{{\left(b d^{2} e^{3} - a c^{2} f^{3} - {\left(2 \, b c d + a d^{2}\right)} e^{2} f + {\left(b c^{2} + 2 \, a c d\right)} e f^{2}\right)} x}{2 \, {\left(e f^{4} x^{2} + e^{2} f^{3}\right)}} + \frac{b d^{2} f x^{3} - 3 \, {\left(2 \, b d^{2} e - {\left(2 \, b c d + a d^{2}\right)} f\right)} x}{3 \, f^{3}} + \frac{{\left(5 \, b d^{2} e^{3} + a c^{2} f^{3} - 3 \, {\left(2 \, b c d + a d^{2}\right)} e^{2} f + {\left(b c^{2} + 2 \, a c d\right)} e f^{2}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{2 \, \sqrt{e f} e f^{3}}"," ",0,"-1/2*(b*d^2*e^3 - a*c^2*f^3 - (2*b*c*d + a*d^2)*e^2*f + (b*c^2 + 2*a*c*d)*e*f^2)*x/(e*f^4*x^2 + e^2*f^3) + 1/3*(b*d^2*f*x^3 - 3*(2*b*d^2*e - (2*b*c*d + a*d^2)*f)*x)/f^3 + 1/2*(5*b*d^2*e^3 + a*c^2*f^3 - 3*(2*b*c*d + a*d^2)*e^2*f + (b*c^2 + 2*a*c*d)*e*f^2)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e*f^3)","A",0
14,1,236,0,2.012236," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e)^3,x, algorithm=""maxima"")","\frac{b d^{2} x}{f^{3}} + \frac{{\left(9 \, b d^{2} e^{3} f + 3 \, a c^{2} f^{4} - 5 \, {\left(2 \, b c d + a d^{2}\right)} e^{2} f^{2} + {\left(b c^{2} + 2 \, a c d\right)} e f^{3}\right)} x^{3} + {\left(7 \, b d^{2} e^{4} + 5 \, a c^{2} e f^{3} - 3 \, {\left(2 \, b c d + a d^{2}\right)} e^{3} f - {\left(b c^{2} + 2 \, a c d\right)} e^{2} f^{2}\right)} x}{8 \, {\left(e^{2} f^{5} x^{4} + 2 \, e^{3} f^{4} x^{2} + e^{4} f^{3}\right)}} - \frac{{\left(15 \, b d^{2} e^{3} - 3 \, a c^{2} f^{3} - 3 \, {\left(2 \, b c d + a d^{2}\right)} e^{2} f - {\left(b c^{2} + 2 \, a c d\right)} e f^{2}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{8 \, \sqrt{e f} e^{2} f^{3}}"," ",0,"b*d^2*x/f^3 + 1/8*((9*b*d^2*e^3*f + 3*a*c^2*f^4 - 5*(2*b*c*d + a*d^2)*e^2*f^2 + (b*c^2 + 2*a*c*d)*e*f^3)*x^3 + (7*b*d^2*e^4 + 5*a*c^2*e*f^3 - 3*(2*b*c*d + a*d^2)*e^3*f - (b*c^2 + 2*a*c*d)*e^2*f^2)*x)/(e^2*f^5*x^4 + 2*e^3*f^4*x^2 + e^4*f^3) - 1/8*(15*b*d^2*e^3 - 3*a*c^2*f^3 - 3*(2*b*c*d + a*d^2)*e^2*f - (b*c^2 + 2*a*c*d)*e*f^2)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e^2*f^3)","A",0
15,1,304,0,2.007240," ","integrate((b*x^2+a)*(d*x^2+c)^2/(f*x^2+e)^4,x, algorithm=""maxima"")","-\frac{3 \, {\left(11 \, b d^{2} e^{3} f^{2} - 5 \, a c^{2} f^{5} - {\left(2 \, b c d + a d^{2}\right)} e^{2} f^{3} - {\left(b c^{2} + 2 \, a c d\right)} e f^{4}\right)} x^{5} + 8 \, {\left(5 \, b d^{2} e^{4} f - 5 \, a c^{2} e f^{4} + {\left(2 \, b c d + a d^{2}\right)} e^{3} f^{2} - {\left(b c^{2} + 2 \, a c d\right)} e^{2} f^{3}\right)} x^{3} + 3 \, {\left(5 \, b d^{2} e^{5} - 11 \, a c^{2} e^{2} f^{3} + {\left(2 \, b c d + a d^{2}\right)} e^{4} f + {\left(b c^{2} + 2 \, a c d\right)} e^{3} f^{2}\right)} x}{48 \, {\left(e^{3} f^{6} x^{6} + 3 \, e^{4} f^{5} x^{4} + 3 \, e^{5} f^{4} x^{2} + e^{6} f^{3}\right)}} + \frac{{\left(5 \, b d^{2} e^{3} + 5 \, a c^{2} f^{3} + {\left(2 \, b c d + a d^{2}\right)} e^{2} f + {\left(b c^{2} + 2 \, a c d\right)} e f^{2}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{16 \, \sqrt{e f} e^{3} f^{3}}"," ",0,"-1/48*(3*(11*b*d^2*e^3*f^2 - 5*a*c^2*f^5 - (2*b*c*d + a*d^2)*e^2*f^3 - (b*c^2 + 2*a*c*d)*e*f^4)*x^5 + 8*(5*b*d^2*e^4*f - 5*a*c^2*e*f^4 + (2*b*c*d + a*d^2)*e^3*f^2 - (b*c^2 + 2*a*c*d)*e^2*f^3)*x^3 + 3*(5*b*d^2*e^5 - 11*a*c^2*e^2*f^3 + (2*b*c*d + a*d^2)*e^4*f + (b*c^2 + 2*a*c*d)*e^3*f^2)*x)/(e^3*f^6*x^6 + 3*e^4*f^5*x^4 + 3*e^5*f^4*x^2 + e^6*f^3) + 1/16*(5*b*d^2*e^3 + 5*a*c^2*f^3 + (2*b*c*d + a*d^2)*e^2*f + (b*c^2 + 2*a*c*d)*e*f^2)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e^3*f^3)","A",0
16,1,326,0,0.859116," ","integrate((b*x^2+a)*(d*x^2+c)^3*(f*x^2+e)^3,x, algorithm=""maxima"")","\frac{1}{15} \, b d^{3} f^{3} x^{15} + \frac{1}{13} \, {\left(3 \, b d^{3} e f^{2} + {\left(3 \, b c d^{2} + a d^{3}\right)} f^{3}\right)} x^{13} + \frac{3}{11} \, {\left(b d^{3} e^{2} f + {\left(3 \, b c d^{2} + a d^{3}\right)} e f^{2} + {\left(b c^{2} d + a c d^{2}\right)} f^{3}\right)} x^{11} + \frac{1}{9} \, {\left(b d^{3} e^{3} + 3 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{2} f + 9 \, {\left(b c^{2} d + a c d^{2}\right)} e f^{2} + {\left(b c^{3} + 3 \, a c^{2} d\right)} f^{3}\right)} x^{9} + a c^{3} e^{3} x + \frac{1}{7} \, {\left(a c^{3} f^{3} + {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} + 9 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f + 3 \, {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{2}\right)} x^{7} + \frac{3}{5} \, {\left(a c^{3} e f^{2} + {\left(b c^{2} d + a c d^{2}\right)} e^{3} + {\left(b c^{3} + 3 \, a c^{2} d\right)} e^{2} f\right)} x^{5} + \frac{1}{3} \, {\left(3 \, a c^{3} e^{2} f + {\left(b c^{3} + 3 \, a c^{2} d\right)} e^{3}\right)} x^{3}"," ",0,"1/15*b*d^3*f^3*x^15 + 1/13*(3*b*d^3*e*f^2 + (3*b*c*d^2 + a*d^3)*f^3)*x^13 + 3/11*(b*d^3*e^2*f + (3*b*c*d^2 + a*d^3)*e*f^2 + (b*c^2*d + a*c*d^2)*f^3)*x^11 + 1/9*(b*d^3*e^3 + 3*(3*b*c*d^2 + a*d^3)*e^2*f + 9*(b*c^2*d + a*c*d^2)*e*f^2 + (b*c^3 + 3*a*c^2*d)*f^3)*x^9 + a*c^3*e^3*x + 1/7*(a*c^3*f^3 + (3*b*c*d^2 + a*d^3)*e^3 + 9*(b*c^2*d + a*c*d^2)*e^2*f + 3*(b*c^3 + 3*a*c^2*d)*e*f^2)*x^7 + 3/5*(a*c^3*e*f^2 + (b*c^2*d + a*c*d^2)*e^3 + (b*c^3 + 3*a*c^2*d)*e^2*f)*x^5 + 1/3*(3*a*c^3*e^2*f + (b*c^3 + 3*a*c^2*d)*e^3)*x^3","A",0
17,1,239,0,0.836170," ","integrate((b*x^2+a)*(d*x^2+c)^3*(f*x^2+e)^2,x, algorithm=""maxima"")","\frac{1}{13} \, b d^{3} f^{2} x^{13} + \frac{1}{11} \, {\left(2 \, b d^{3} e f + {\left(3 \, b c d^{2} + a d^{3}\right)} f^{2}\right)} x^{11} + \frac{1}{9} \, {\left(b d^{3} e^{2} + 2 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e f + 3 \, {\left(b c^{2} d + a c d^{2}\right)} f^{2}\right)} x^{9} + \frac{1}{7} \, {\left({\left(3 \, b c d^{2} + a d^{3}\right)} e^{2} + 6 \, {\left(b c^{2} d + a c d^{2}\right)} e f + {\left(b c^{3} + 3 \, a c^{2} d\right)} f^{2}\right)} x^{7} + a c^{3} e^{2} x + \frac{1}{5} \, {\left(a c^{3} f^{2} + 3 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} + 2 \, {\left(b c^{3} + 3 \, a c^{2} d\right)} e f\right)} x^{5} + \frac{1}{3} \, {\left(2 \, a c^{3} e f + {\left(b c^{3} + 3 \, a c^{2} d\right)} e^{2}\right)} x^{3}"," ",0,"1/13*b*d^3*f^2*x^13 + 1/11*(2*b*d^3*e*f + (3*b*c*d^2 + a*d^3)*f^2)*x^11 + 1/9*(b*d^3*e^2 + 2*(3*b*c*d^2 + a*d^3)*e*f + 3*(b*c^2*d + a*c*d^2)*f^2)*x^9 + 1/7*((3*b*c*d^2 + a*d^3)*e^2 + 6*(b*c^2*d + a*c*d^2)*e*f + (b*c^3 + 3*a*c^2*d)*f^2)*x^7 + a*c^3*e^2*x + 1/5*(a*c^3*f^2 + 3*(b*c^2*d + a*c*d^2)*e^2 + 2*(b*c^3 + 3*a*c^2*d)*e*f)*x^5 + 1/3*(2*a*c^3*e*f + (b*c^3 + 3*a*c^2*d)*e^2)*x^3","A",0
18,1,146,0,0.841492," ","integrate((b*x^2+a)*(d*x^2+c)^3*(f*x^2+e),x, algorithm=""maxima"")","\frac{1}{11} \, b d^{3} f x^{11} + \frac{1}{9} \, {\left(b d^{3} e + {\left(3 \, b c d^{2} + a d^{3}\right)} f\right)} x^{9} + \frac{1}{7} \, {\left({\left(3 \, b c d^{2} + a d^{3}\right)} e + 3 \, {\left(b c^{2} d + a c d^{2}\right)} f\right)} x^{7} + a c^{3} e x + \frac{1}{5} \, {\left(3 \, {\left(b c^{2} d + a c d^{2}\right)} e + {\left(b c^{3} + 3 \, a c^{2} d\right)} f\right)} x^{5} + \frac{1}{3} \, {\left(a c^{3} f + {\left(b c^{3} + 3 \, a c^{2} d\right)} e\right)} x^{3}"," ",0,"1/11*b*d^3*f*x^11 + 1/9*(b*d^3*e + (3*b*c*d^2 + a*d^3)*f)*x^9 + 1/7*((3*b*c*d^2 + a*d^3)*e + 3*(b*c^2*d + a*c*d^2)*f)*x^7 + a*c^3*e*x + 1/5*(3*(b*c^2*d + a*c*d^2)*e + (b*c^3 + 3*a*c^2*d)*f)*x^5 + 1/3*(a*c^3*f + (b*c^3 + 3*a*c^2*d)*e)*x^3","A",0
19,1,266,0,2.028701," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e),x, algorithm=""maxima"")","\frac{{\left(b d^{3} e^{4} + a c^{3} f^{4} - {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} f + 3 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f^{2} - {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{3}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{\sqrt{e f} f^{4}} + \frac{15 \, b d^{3} f^{3} x^{7} - 21 \, {\left(b d^{3} e f^{2} - {\left(3 \, b c d^{2} + a d^{3}\right)} f^{3}\right)} x^{5} + 35 \, {\left(b d^{3} e^{2} f - {\left(3 \, b c d^{2} + a d^{3}\right)} e f^{2} + 3 \, {\left(b c^{2} d + a c d^{2}\right)} f^{3}\right)} x^{3} - 105 \, {\left(b d^{3} e^{3} - {\left(3 \, b c d^{2} + a d^{3}\right)} e^{2} f + 3 \, {\left(b c^{2} d + a c d^{2}\right)} e f^{2} - {\left(b c^{3} + 3 \, a c^{2} d\right)} f^{3}\right)} x}{105 \, f^{4}}"," ",0,"(b*d^3*e^4 + a*c^3*f^4 - (3*b*c*d^2 + a*d^3)*e^3*f + 3*(b*c^2*d + a*c*d^2)*e^2*f^2 - (b*c^3 + 3*a*c^2*d)*e*f^3)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*f^4) + 1/105*(15*b*d^3*f^3*x^7 - 21*(b*d^3*e*f^2 - (3*b*c*d^2 + a*d^3)*f^3)*x^5 + 35*(b*d^3*e^2*f - (3*b*c*d^2 + a*d^3)*e*f^2 + 3*(b*c^2*d + a*c*d^2)*f^3)*x^3 - 105*(b*d^3*e^3 - (3*b*c*d^2 + a*d^3)*e^2*f + 3*(b*c^2*d + a*c*d^2)*e*f^2 - (b*c^3 + 3*a*c^2*d)*f^3)*x)/f^4","A",0
20,1,296,0,1.978163," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e)^2,x, algorithm=""maxima"")","\frac{{\left(b d^{3} e^{4} + a c^{3} f^{4} - {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} f + 3 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f^{2} - {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{3}\right)} x}{2 \, {\left(e f^{5} x^{2} + e^{2} f^{4}\right)}} + \frac{3 \, b d^{3} f^{2} x^{5} - 5 \, {\left(2 \, b d^{3} e f - {\left(3 \, b c d^{2} + a d^{3}\right)} f^{2}\right)} x^{3} + 15 \, {\left(3 \, b d^{3} e^{2} - 2 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e f + 3 \, {\left(b c^{2} d + a c d^{2}\right)} f^{2}\right)} x}{15 \, f^{4}} - \frac{{\left(7 \, b d^{3} e^{4} - a c^{3} f^{4} - 5 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} f + 9 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f^{2} - {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{3}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{2 \, \sqrt{e f} e f^{4}}"," ",0,"1/2*(b*d^3*e^4 + a*c^3*f^4 - (3*b*c*d^2 + a*d^3)*e^3*f + 3*(b*c^2*d + a*c*d^2)*e^2*f^2 - (b*c^3 + 3*a*c^2*d)*e*f^3)*x/(e*f^5*x^2 + e^2*f^4) + 1/15*(3*b*d^3*f^2*x^5 - 5*(2*b*d^3*e*f - (3*b*c*d^2 + a*d^3)*f^2)*x^3 + 15*(3*b*d^3*e^2 - 2*(3*b*c*d^2 + a*d^3)*e*f + 3*(b*c^2*d + a*c*d^2)*f^2)*x)/f^4 - 1/2*(7*b*d^3*e^4 - a*c^3*f^4 - 5*(3*b*c*d^2 + a*d^3)*e^3*f + 9*(b*c^2*d + a*c*d^2)*e^2*f^2 - (b*c^3 + 3*a*c^2*d)*e*f^3)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e*f^4)","A",0
21,1,343,0,1.944347," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, b d^{3} e^{4} f - 3 \, a c^{3} f^{5} - 9 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} f^{2} + 15 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f^{3} - {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{4}\right)} x^{3} + {\left(11 \, b d^{3} e^{5} - 5 \, a c^{3} e f^{4} - 7 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{4} f + 9 \, {\left(b c^{2} d + a c d^{2}\right)} e^{3} f^{2} + {\left(b c^{3} + 3 \, a c^{2} d\right)} e^{2} f^{3}\right)} x}{8 \, {\left(e^{2} f^{6} x^{4} + 2 \, e^{3} f^{5} x^{2} + e^{4} f^{4}\right)}} + \frac{b d^{3} f x^{3} - 3 \, {\left(3 \, b d^{3} e - {\left(3 \, b c d^{2} + a d^{3}\right)} f\right)} x}{3 \, f^{4}} + \frac{{\left(35 \, b d^{3} e^{4} + 3 \, a c^{3} f^{4} - 15 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} f + 9 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f^{2} + {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{3}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{8 \, \sqrt{e f} e^{2} f^{4}}"," ",0,"-1/8*((13*b*d^3*e^4*f - 3*a*c^3*f^5 - 9*(3*b*c*d^2 + a*d^3)*e^3*f^2 + 15*(b*c^2*d + a*c*d^2)*e^2*f^3 - (b*c^3 + 3*a*c^2*d)*e*f^4)*x^3 + (11*b*d^3*e^5 - 5*a*c^3*e*f^4 - 7*(3*b*c*d^2 + a*d^3)*e^4*f + 9*(b*c^2*d + a*c*d^2)*e^3*f^2 + (b*c^3 + 3*a*c^2*d)*e^2*f^3)*x)/(e^2*f^6*x^4 + 2*e^3*f^5*x^2 + e^4*f^4) + 1/3*(b*d^3*f*x^3 - 3*(3*b*d^3*e - (3*b*c*d^2 + a*d^3)*f)*x)/f^4 + 1/8*(35*b*d^3*e^4 + 3*a*c^3*f^4 - 15*(3*b*c*d^2 + a*d^3)*e^3*f + 9*(b*c^2*d + a*c*d^2)*e^2*f^2 + (b*c^3 + 3*a*c^2*d)*e*f^3)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*e^2*f^4)","A",0
22,1,416,0,2.388620," ","integrate((b*x^2+a)*(d*x^2+c)^3/(f*x^2+e)^4,x, algorithm=""maxima"")","\frac{b d^{3} x}{f^{4}} + \frac{3 \, {\left(29 \, b d^{3} e^{4} f^{2} + 5 \, a c^{3} f^{6} - 11 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} f^{3} + 3 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f^{4} + {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{5}\right)} x^{5} + 8 \, {\left(17 \, b d^{3} e^{5} f + 5 \, a c^{3} e f^{5} - 5 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{4} f^{2} - 3 \, {\left(b c^{2} d + a c d^{2}\right)} e^{3} f^{3} + {\left(b c^{3} + 3 \, a c^{2} d\right)} e^{2} f^{4}\right)} x^{3} + 3 \, {\left(19 \, b d^{3} e^{6} + 11 \, a c^{3} e^{2} f^{4} - 5 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{5} f - 3 \, {\left(b c^{2} d + a c d^{2}\right)} e^{4} f^{2} - {\left(b c^{3} + 3 \, a c^{2} d\right)} e^{3} f^{3}\right)} x}{48 \, {\left(e^{3} f^{7} x^{6} + 3 \, e^{4} f^{6} x^{4} + 3 \, e^{5} f^{5} x^{2} + e^{6} f^{4}\right)}} - \frac{{\left(35 \, b d^{3} e^{4} - 5 \, a c^{3} f^{4} - 5 \, {\left(3 \, b c d^{2} + a d^{3}\right)} e^{3} f - 3 \, {\left(b c^{2} d + a c d^{2}\right)} e^{2} f^{2} - {\left(b c^{3} + 3 \, a c^{2} d\right)} e f^{3}\right)} \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{16 \, \sqrt{e f} e^{3} f^{4}}"," ",0,"b*d^3*x/f^4 + 1/48*(3*(29*b*d^3*e^4*f^2 + 5*a*c^3*f^6 - 11*(3*b*c*d^2 + a*d^3)*e^3*f^3 + 3*(b*c^2*d + a*c*d^2)*e^2*f^4 + (b*c^3 + 3*a*c^2*d)*e*f^5)*x^5 + 8*(17*b*d^3*e^5*f + 5*a*c^3*e*f^5 - 5*(3*b*c*d^2 + a*d^3)*e^4*f^2 - 3*(b*c^2*d + a*c*d^2)*e^3*f^3 + (b*c^3 + 3*a*c^2*d)*e^2*f^4)*x^3 + 3*(19*b*d^3*e^6 + 11*a*c^3*e^2*f^4 - 5*(3*b*c*d^2 + a*d^3)*e^5*f - 3*(b*c^2*d + a*c*d^2)*e^4*f^2 - (b*c^3 + 3*a*c^2*d)*e^3*f^3)*x)/(e^3*f^7*x^6 + 3*e^4*f^6*x^4 + 3*e^5*f^5*x^2 + e^6*f^4) - 1/16*(35*b*d^3*e^4 - 5*a*c^3*f^4 - 5*(3*b*c*d^2 + a*d^3)*e^3*f - 3*(b*c^2*d + a*c*d^2)*e^2*f^2 - (b*c^3 + 3*a*c^2*d)*e*f^3)*arctan(f*x/sqrt(e*f))/(sqrt(e*f)*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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
55,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, c x^{2} - b - \sqrt{b^{2} - 4 \, a c}}{\sqrt{-\frac{2 \, c x^{2}}{b + \sqrt{b^{2} - 4 \, a c}} + 1} \sqrt{-\frac{2 \, c x^{2}}{b - \sqrt{b^{2} - 4 \, a c}} + 1}}\,{d x}"," ",0,"integrate((2*c*x^2 - b - sqrt(b^2 - 4*a*c))/(sqrt(-2*c*x^2/(b + sqrt(b^2 - 4*a*c)) + 1)*sqrt(-2*c*x^2/(b - sqrt(b^2 - 4*a*c)) + 1)), x)","F",0
56,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, c x^{2} + b - \sqrt{b^{2} - 4 \, a c}}{\sqrt{\frac{2 \, c x^{2}}{b + \sqrt{b^{2} - 4 \, a c}} + 1} \sqrt{\frac{2 \, c x^{2}}{b - \sqrt{b^{2} - 4 \, a c}} + 1}}\,{d x}"," ",0,"integrate((2*c*x^2 + b - sqrt(b^2 - 4*a*c))/(sqrt(2*c*x^2/(b + sqrt(b^2 - 4*a*c)) + 1)*sqrt(2*c*x^2/(b - sqrt(b^2 - 4*a*c)) + 1)), x)","F",0
57,0,0,0,0.000000," ","integrate((b*x^2+a)*(d*x^2+c)^(1/2)/(f*x^2+e),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)} \sqrt{d x^{2} + c}}{f x^{2} + e}\,{d x}"," ",0,"integrate((b*x^2 + a)*sqrt(d*x^2 + c)/(f*x^2 + e), x)","F",0
58,0,0,0,0.000000," ","integrate((b*x^2+a)^3/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{3}}{{\left(d x^{2} + c\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)^3/((d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
59,0,0,0,0.000000," ","integrate((b*x^2+a)^2/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{2}}{{\left(d x^{2} + c\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)^2/((d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
60,0,0,0,0.000000," ","integrate((b*x^2+a)/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\int \frac{b x^{2} + a}{{\left(d x^{2} + c\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate((b*x^2 + a)/((d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{2} + c\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
62,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)*(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",0
63,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^2/(d*x^2+c)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{2} {\left(d x^{2} + c\right)} \sqrt{f x^{2} + e}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^2*(d*x^2 + c)*sqrt(f*x^2 + e)), x)","F",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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
98,0,0,0,0.000000," ","integrate((b*x^2+a)/(f*x^2+e)^2/(d*x^2+c)^(1/2),x, algorithm=""maxima"")","\int \frac{b x^{2} + a}{\sqrt{d x^{2} + c} {\left(f x^{2} + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)/(sqrt(d*x^2 + c)*(f*x^2 + e)^2), x)","F",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=""maxima"")","\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=""maxima"")","\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
101,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^2/(-d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\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
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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
