1,1,236,0,0.101159," ","integrate((b*x**2+a)*(d*x**2+c)*(f*x**2+e)**4,x)","a c e^{4} x + \frac{b d f^{4} x^{13}}{13} + x^{11} \left(\frac{a d f^{4}}{11} + \frac{b c f^{4}}{11} + \frac{4 b d e f^{3}}{11}\right) + x^{9} \left(\frac{a c f^{4}}{9} + \frac{4 a d e f^{3}}{9} + \frac{4 b c e f^{3}}{9} + \frac{2 b d e^{2} f^{2}}{3}\right) + x^{7} \left(\frac{4 a c e f^{3}}{7} + \frac{6 a d e^{2} f^{2}}{7} + \frac{6 b c e^{2} f^{2}}{7} + \frac{4 b d e^{3} f}{7}\right) + x^{5} \left(\frac{6 a c e^{2} f^{2}}{5} + \frac{4 a d e^{3} f}{5} + \frac{4 b c e^{3} f}{5} + \frac{b d e^{4}}{5}\right) + x^{3} \left(\frac{4 a c e^{3} f}{3} + \frac{a d e^{4}}{3} + \frac{b c e^{4}}{3}\right)"," ",0,"a*c*e**4*x + b*d*f**4*x**13/13 + x**11*(a*d*f**4/11 + b*c*f**4/11 + 4*b*d*e*f**3/11) + x**9*(a*c*f**4/9 + 4*a*d*e*f**3/9 + 4*b*c*e*f**3/9 + 2*b*d*e**2*f**2/3) + x**7*(4*a*c*e*f**3/7 + 6*a*d*e**2*f**2/7 + 6*b*c*e**2*f**2/7 + 4*b*d*e**3*f/7) + x**5*(6*a*c*e**2*f**2/5 + 4*a*d*e**3*f/5 + 4*b*c*e**3*f/5 + b*d*e**4/5) + x**3*(4*a*c*e**3*f/3 + a*d*e**4/3 + b*c*e**4/3)","A",0
2,1,173,0,0.091762," ","integrate((b*x**2+a)*(d*x**2+c)*(f*x**2+e)**3,x)","a c e^{3} x + \frac{b d f^{3} x^{11}}{11} + x^{9} \left(\frac{a d f^{3}}{9} + \frac{b c f^{3}}{9} + \frac{b d e f^{2}}{3}\right) + x^{7} \left(\frac{a c f^{3}}{7} + \frac{3 a d e f^{2}}{7} + \frac{3 b c e f^{2}}{7} + \frac{3 b d e^{2} f}{7}\right) + x^{5} \left(\frac{3 a c e f^{2}}{5} + \frac{3 a d e^{2} f}{5} + \frac{3 b c e^{2} f}{5} + \frac{b d e^{3}}{5}\right) + x^{3} \left(a c e^{2} f + \frac{a d e^{3}}{3} + \frac{b c e^{3}}{3}\right)"," ",0,"a*c*e**3*x + b*d*f**3*x**11/11 + x**9*(a*d*f**3/9 + b*c*f**3/9 + b*d*e*f**2/3) + x**7*(a*c*f**3/7 + 3*a*d*e*f**2/7 + 3*b*c*e*f**2/7 + 3*b*d*e**2*f/7) + x**5*(3*a*c*e*f**2/5 + 3*a*d*e**2*f/5 + 3*b*c*e**2*f/5 + b*d*e**3/5) + x**3*(a*c*e**2*f + a*d*e**3/3 + b*c*e**3/3)","A",0
3,1,121,0,0.082069," ","integrate((b*x**2+a)*(d*x**2+c)*(f*x**2+e)**2,x)","a c e^{2} x + \frac{b d f^{2} x^{9}}{9} + x^{7} \left(\frac{a d f^{2}}{7} + \frac{b c f^{2}}{7} + \frac{2 b d e f}{7}\right) + x^{5} \left(\frac{a c f^{2}}{5} + \frac{2 a d e f}{5} + \frac{2 b c e f}{5} + \frac{b d e^{2}}{5}\right) + x^{3} \left(\frac{2 a c e f}{3} + \frac{a d e^{2}}{3} + \frac{b c e^{2}}{3}\right)"," ",0,"a*c*e**2*x + b*d*f**2*x**9/9 + x**7*(a*d*f**2/7 + b*c*f**2/7 + 2*b*d*e*f/7) + x**5*(a*c*f**2/5 + 2*a*d*e*f/5 + 2*b*c*e*f/5 + b*d*e**2/5) + x**3*(2*a*c*e*f/3 + a*d*e**2/3 + b*c*e**2/3)","A",0
4,1,63,0,0.070267," ","integrate((b*x**2+a)*(d*x**2+c)*(f*x**2+e),x)","a c e x + \frac{b d f x^{7}}{7} + x^{5} \left(\frac{a d f}{5} + \frac{b c f}{5} + \frac{b d e}{5}\right) + x^{3} \left(\frac{a c f}{3} + \frac{a d e}{3} + \frac{b c e}{3}\right)"," ",0,"a*c*e*x + b*d*f*x**7/7 + x**5*(a*d*f/5 + b*c*f/5 + b*d*e/5) + x**3*(a*c*f/3 + a*d*e/3 + b*c*e/3)","A",0
5,1,206,0,0.617960," ","integrate((b*x**2+a)*(d*x**2+c)/(f*x**2+e),x)","\frac{b d x^{3}}{3 f} + x \left(\frac{a d}{f} + \frac{b c}{f} - \frac{b d e}{f^{2}}\right) - \frac{\sqrt{- \frac{1}{e f^{5}}} \left(a f - b e\right) \left(c f - d e\right) \log{\left(- \frac{e f^{2} \sqrt{- \frac{1}{e f^{5}}} \left(a f - b e\right) \left(c f - d e\right)}{a c f^{2} - a d e f - b c e f + b d e^{2}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{e f^{5}}} \left(a f - b e\right) \left(c f - d e\right) \log{\left(\frac{e f^{2} \sqrt{- \frac{1}{e f^{5}}} \left(a f - b e\right) \left(c f - d e\right)}{a c f^{2} - a d e f - b c e f + b d e^{2}} + x \right)}}{2}"," ",0,"b*d*x**3/(3*f) + x*(a*d/f + b*c/f - b*d*e/f**2) - sqrt(-1/(e*f**5))*(a*f - b*e)*(c*f - d*e)*log(-e*f**2*sqrt(-1/(e*f**5))*(a*f - b*e)*(c*f - d*e)/(a*c*f**2 - a*d*e*f - b*c*e*f + b*d*e**2) + x)/2 + sqrt(-1/(e*f**5))*(a*f - b*e)*(c*f - d*e)*log(e*f**2*sqrt(-1/(e*f**5))*(a*f - b*e)*(c*f - d*e)/(a*c*f**2 - a*d*e*f - b*c*e*f + b*d*e**2) + x)/2","B",0
6,1,190,0,1.365573," ","integrate((b*x**2+a)*(d*x**2+c)/(f*x**2+e)**2,x)","\frac{b d x}{f^{2}} + \frac{x \left(a c f^{2} - a d e f - b c e f + b d e^{2}\right)}{2 e^{2} f^{2} + 2 e f^{3} x^{2}} - \frac{\sqrt{- \frac{1}{e^{3} f^{5}}} \left(a c f^{2} + a d e f + b c e f - 3 b d e^{2}\right) \log{\left(- e^{2} f^{2} \sqrt{- \frac{1}{e^{3} f^{5}}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{e^{3} f^{5}}} \left(a c f^{2} + a d e f + b c e f - 3 b d e^{2}\right) \log{\left(e^{2} f^{2} \sqrt{- \frac{1}{e^{3} f^{5}}} + x \right)}}{4}"," ",0,"b*d*x/f**2 + x*(a*c*f**2 - a*d*e*f - b*c*e*f + b*d*e**2)/(2*e**2*f**2 + 2*e*f**3*x**2) - sqrt(-1/(e**3*f**5))*(a*c*f**2 + a*d*e*f + b*c*e*f - 3*b*d*e**2)*log(-e**2*f**2*sqrt(-1/(e**3*f**5)) + x)/4 + sqrt(-1/(e**3*f**5))*(a*c*f**2 + a*d*e*f + b*c*e*f - 3*b*d*e**2)*log(e**2*f**2*sqrt(-1/(e**3*f**5)) + x)/4","A",0
7,1,246,0,3.132595," ","integrate((b*x**2+a)*(d*x**2+c)/(f*x**2+e)**3,x)","- \frac{\sqrt{- \frac{1}{e^{5} f^{5}}} \left(3 a c f^{2} + a d e f + b c e f + 3 b d e^{2}\right) \log{\left(- e^{3} f^{2} \sqrt{- \frac{1}{e^{5} f^{5}}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{e^{5} f^{5}}} \left(3 a c f^{2} + a d e f + b c e f + 3 b d e^{2}\right) \log{\left(e^{3} f^{2} \sqrt{- \frac{1}{e^{5} f^{5}}} + x \right)}}{16} + \frac{x^{3} \left(3 a c f^{3} + a d e f^{2} + b c e f^{2} - 5 b d e^{2} f\right) + x \left(5 a c e f^{2} - a d e^{2} f - b c e^{2} f - 3 b d e^{3}\right)}{8 e^{4} f^{2} + 16 e^{3} f^{3} x^{2} + 8 e^{2} f^{4} x^{4}}"," ",0,"-sqrt(-1/(e**5*f**5))*(3*a*c*f**2 + a*d*e*f + b*c*e*f + 3*b*d*e**2)*log(-e**3*f**2*sqrt(-1/(e**5*f**5)) + x)/16 + sqrt(-1/(e**5*f**5))*(3*a*c*f**2 + a*d*e*f + b*c*e*f + 3*b*d*e**2)*log(e**3*f**2*sqrt(-1/(e**5*f**5)) + x)/16 + (x**3*(3*a*c*f**3 + a*d*e*f**2 + b*c*e*f**2 - 5*b*d*e**2*f) + x*(5*a*c*e*f**2 - a*d*e**2*f - b*c*e**2*f - 3*b*d*e**3))/(8*e**4*f**2 + 16*e**3*f**3*x**2 + 8*e**2*f**4*x**4)","B",0
8,1,313,0,6.658088," ","integrate((b*x**2+a)*(d*x**2+c)/(f*x**2+e)**4,x)","- \frac{\sqrt{- \frac{1}{e^{7} f^{5}}} \left(5 a c f^{2} + a d e f + b c e f + b d e^{2}\right) \log{\left(- e^{4} f^{2} \sqrt{- \frac{1}{e^{7} f^{5}}} + x \right)}}{32} + \frac{\sqrt{- \frac{1}{e^{7} f^{5}}} \left(5 a c f^{2} + a d e f + b c e f + b d e^{2}\right) \log{\left(e^{4} f^{2} \sqrt{- \frac{1}{e^{7} f^{5}}} + x \right)}}{32} + \frac{x^{5} \left(15 a c f^{4} + 3 a d e f^{3} + 3 b c e f^{3} + 3 b d e^{2} f^{2}\right) + x^{3} \left(40 a c e f^{3} + 8 a d e^{2} f^{2} + 8 b c e^{2} f^{2} - 8 b d e^{3} f\right) + x \left(33 a c e^{2} f^{2} - 3 a d e^{3} f - 3 b c e^{3} f - 3 b d e^{4}\right)}{48 e^{6} f^{2} + 144 e^{5} f^{3} x^{2} + 144 e^{4} f^{4} x^{4} + 48 e^{3} f^{5} x^{6}}"," ",0,"-sqrt(-1/(e**7*f**5))*(5*a*c*f**2 + a*d*e*f + b*c*e*f + b*d*e**2)*log(-e**4*f**2*sqrt(-1/(e**7*f**5)) + x)/32 + sqrt(-1/(e**7*f**5))*(5*a*c*f**2 + a*d*e*f + b*c*e*f + b*d*e**2)*log(e**4*f**2*sqrt(-1/(e**7*f**5)) + x)/32 + (x**5*(15*a*c*f**4 + 3*a*d*e*f**3 + 3*b*c*e*f**3 + 3*b*d*e**2*f**2) + x**3*(40*a*c*e*f**3 + 8*a*d*e**2*f**2 + 8*b*c*e**2*f**2 - 8*b*d*e**3*f) + x*(33*a*c*e**2*f**2 - 3*a*d*e**3*f - 3*b*c*e**3*f - 3*b*d*e**4))/(48*e**6*f**2 + 144*e**5*f**3*x**2 + 144*e**4*f**4*x**4 + 48*e**3*f**5*x**6)","A",0
9,1,304,0,0.112393," ","integrate((b*x**2+a)*(d*x**2+c)**2*(f*x**2+e)**3,x)","a c^{2} e^{3} x + \frac{b d^{2} f^{3} x^{13}}{13} + x^{11} \left(\frac{a d^{2} f^{3}}{11} + \frac{2 b c d f^{3}}{11} + \frac{3 b d^{2} e f^{2}}{11}\right) + x^{9} \left(\frac{2 a c d f^{3}}{9} + \frac{a d^{2} e f^{2}}{3} + \frac{b c^{2} f^{3}}{9} + \frac{2 b c d e f^{2}}{3} + \frac{b d^{2} e^{2} f}{3}\right) + x^{7} \left(\frac{a c^{2} f^{3}}{7} + \frac{6 a c d e f^{2}}{7} + \frac{3 a d^{2} e^{2} f}{7} + \frac{3 b c^{2} e f^{2}}{7} + \frac{6 b c d e^{2} f}{7} + \frac{b d^{2} e^{3}}{7}\right) + x^{5} \left(\frac{3 a c^{2} e f^{2}}{5} + \frac{6 a c d e^{2} f}{5} + \frac{a d^{2} e^{3}}{5} + \frac{3 b c^{2} e^{2} f}{5} + \frac{2 b c d e^{3}}{5}\right) + x^{3} \left(a c^{2} e^{2} f + \frac{2 a c d e^{3}}{3} + \frac{b c^{2} e^{3}}{3}\right)"," ",0,"a*c**2*e**3*x + b*d**2*f**3*x**13/13 + x**11*(a*d**2*f**3/11 + 2*b*c*d*f**3/11 + 3*b*d**2*e*f**2/11) + x**9*(2*a*c*d*f**3/9 + a*d**2*e*f**2/3 + b*c**2*f**3/9 + 2*b*c*d*e*f**2/3 + b*d**2*e**2*f/3) + x**7*(a*c**2*f**3/7 + 6*a*c*d*e*f**2/7 + 3*a*d**2*e**2*f/7 + 3*b*c**2*e*f**2/7 + 6*b*c*d*e**2*f/7 + b*d**2*e**3/7) + x**5*(3*a*c**2*e*f**2/5 + 6*a*c*d*e**2*f/5 + a*d**2*e**3/5 + 3*b*c**2*e**2*f/5 + 2*b*c*d*e**3/5) + x**3*(a*c**2*e**2*f + 2*a*c*d*e**3/3 + b*c**2*e**3/3)","A",0
10,1,216,0,0.098690," ","integrate((b*x**2+a)*(d*x**2+c)**2*(f*x**2+e)**2,x)","a c^{2} e^{2} x + \frac{b d^{2} f^{2} x^{11}}{11} + x^{9} \left(\frac{a d^{2} f^{2}}{9} + \frac{2 b c d f^{2}}{9} + \frac{2 b d^{2} e f}{9}\right) + x^{7} \left(\frac{2 a c d f^{2}}{7} + \frac{2 a d^{2} e f}{7} + \frac{b c^{2} f^{2}}{7} + \frac{4 b c d e f}{7} + \frac{b d^{2} e^{2}}{7}\right) + x^{5} \left(\frac{a c^{2} f^{2}}{5} + \frac{4 a c d e f}{5} + \frac{a d^{2} e^{2}}{5} + \frac{2 b c^{2} e f}{5} + \frac{2 b c d e^{2}}{5}\right) + x^{3} \left(\frac{2 a c^{2} e f}{3} + \frac{2 a c d e^{2}}{3} + \frac{b c^{2} e^{2}}{3}\right)"," ",0,"a*c**2*e**2*x + b*d**2*f**2*x**11/11 + x**9*(a*d**2*f**2/9 + 2*b*c*d*f**2/9 + 2*b*d**2*e*f/9) + x**7*(2*a*c*d*f**2/7 + 2*a*d**2*e*f/7 + b*c**2*f**2/7 + 4*b*c*d*e*f/7 + b*d**2*e**2/7) + x**5*(a*c**2*f**2/5 + 4*a*c*d*e*f/5 + a*d**2*e**2/5 + 2*b*c**2*e*f/5 + 2*b*c*d*e**2/5) + x**3*(2*a*c**2*e*f/3 + 2*a*c*d*e**2/3 + b*c**2*e**2/3)","A",0
11,1,121,0,0.081510," ","integrate((b*x**2+a)*(d*x**2+c)**2*(f*x**2+e),x)","a c^{2} e x + \frac{b d^{2} f x^{9}}{9} + x^{7} \left(\frac{a d^{2} f}{7} + \frac{2 b c d f}{7} + \frac{b d^{2} e}{7}\right) + x^{5} \left(\frac{2 a c d f}{5} + \frac{a d^{2} e}{5} + \frac{b c^{2} f}{5} + \frac{2 b c d e}{5}\right) + x^{3} \left(\frac{a c^{2} f}{3} + \frac{2 a c d e}{3} + \frac{b c^{2} e}{3}\right)"," ",0,"a*c**2*e*x + b*d**2*f*x**9/9 + x**7*(a*d**2*f/7 + 2*b*c*d*f/7 + b*d**2*e/7) + x**5*(2*a*c*d*f/5 + a*d**2*e/5 + b*c**2*f/5 + 2*b*c*d*e/5) + x**3*(a*c**2*f/3 + 2*a*c*d*e/3 + b*c**2*e/3)","A",0
12,1,347,0,1.037655," ","integrate((b*x**2+a)*(d*x**2+c)**2/(f*x**2+e),x)","\frac{b d^{2} x^{5}}{5 f} + x^{3} \left(\frac{a d^{2}}{3 f} + \frac{2 b c d}{3 f} - \frac{b d^{2} e}{3 f^{2}}\right) + x \left(\frac{2 a c d}{f} - \frac{a d^{2} e}{f^{2}} + \frac{b c^{2}}{f} - \frac{2 b c d e}{f^{2}} + \frac{b d^{2} e^{2}}{f^{3}}\right) - \frac{\sqrt{- \frac{1}{e f^{7}}} \left(a f - b e\right) \left(c f - d e\right)^{2} \log{\left(- \frac{e f^{3} \sqrt{- \frac{1}{e f^{7}}} \left(a f - b e\right) \left(c f - d e\right)^{2}}{a c^{2} f^{3} - 2 a c d e f^{2} + a d^{2} e^{2} f - b c^{2} e f^{2} + 2 b c d e^{2} f - b d^{2} e^{3}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{e f^{7}}} \left(a f - b e\right) \left(c f - d e\right)^{2} \log{\left(\frac{e f^{3} \sqrt{- \frac{1}{e f^{7}}} \left(a f - b e\right) \left(c f - d e\right)^{2}}{a c^{2} f^{3} - 2 a c d e f^{2} + a d^{2} e^{2} f - b c^{2} e f^{2} + 2 b c d e^{2} f - b d^{2} e^{3}} + x \right)}}{2}"," ",0,"b*d**2*x**5/(5*f) + x**3*(a*d**2/(3*f) + 2*b*c*d/(3*f) - b*d**2*e/(3*f**2)) + x*(2*a*c*d/f - a*d**2*e/f**2 + b*c**2/f - 2*b*c*d*e/f**2 + b*d**2*e**2/f**3) - sqrt(-1/(e*f**7))*(a*f - b*e)*(c*f - d*e)**2*log(-e*f**3*sqrt(-1/(e*f**7))*(a*f - b*e)*(c*f - d*e)**2/(a*c**2*f**3 - 2*a*c*d*e*f**2 + a*d**2*e**2*f - b*c**2*e*f**2 + 2*b*c*d*e**2*f - b*d**2*e**3) + x)/2 + sqrt(-1/(e*f**7))*(a*f - b*e)*(c*f - d*e)**2*log(e*f**3*sqrt(-1/(e*f**7))*(a*f - b*e)*(c*f - d*e)**2/(a*c**2*f**3 - 2*a*c*d*e*f**2 + a*d**2*e**2*f - b*c**2*e*f**2 + 2*b*c*d*e**2*f - b*d**2*e**3) + x)/2","B",0
13,1,483,0,2.827295," ","integrate((b*x**2+a)*(d*x**2+c)**2/(f*x**2+e)**2,x)","\frac{b d^{2} x^{3}}{3 f^{2}} + x \left(\frac{a d^{2}}{f^{2}} + \frac{2 b c d}{f^{2}} - \frac{2 b d^{2} e}{f^{3}}\right) + \frac{x \left(a c^{2} f^{3} - 2 a c d e f^{2} + a d^{2} e^{2} f - b c^{2} e f^{2} + 2 b c d e^{2} f - b d^{2} e^{3}\right)}{2 e^{2} f^{3} + 2 e f^{4} x^{2}} - \frac{\sqrt{- \frac{1}{e^{3} f^{7}}} \left(c f - d e\right) \left(a c f^{2} + 3 a d e f + b c e f - 5 b d e^{2}\right) \log{\left(- \frac{e^{2} f^{3} \sqrt{- \frac{1}{e^{3} f^{7}}} \left(c f - d e\right) \left(a c f^{2} + 3 a d e f + b c e f - 5 b d e^{2}\right)}{a c^{2} f^{3} + 2 a c d e f^{2} - 3 a d^{2} e^{2} f + b c^{2} e f^{2} - 6 b c d e^{2} f + 5 b d^{2} e^{3}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{e^{3} f^{7}}} \left(c f - d e\right) \left(a c f^{2} + 3 a d e f + b c e f - 5 b d e^{2}\right) \log{\left(\frac{e^{2} f^{3} \sqrt{- \frac{1}{e^{3} f^{7}}} \left(c f - d e\right) \left(a c f^{2} + 3 a d e f + b c e f - 5 b d e^{2}\right)}{a c^{2} f^{3} + 2 a c d e f^{2} - 3 a d^{2} e^{2} f + b c^{2} e f^{2} - 6 b c d e^{2} f + 5 b d^{2} e^{3}} + x \right)}}{4}"," ",0,"b*d**2*x**3/(3*f**2) + x*(a*d**2/f**2 + 2*b*c*d/f**2 - 2*b*d**2*e/f**3) + x*(a*c**2*f**3 - 2*a*c*d*e*f**2 + a*d**2*e**2*f - b*c**2*e*f**2 + 2*b*c*d*e**2*f - b*d**2*e**3)/(2*e**2*f**3 + 2*e*f**4*x**2) - sqrt(-1/(e**3*f**7))*(c*f - d*e)*(a*c*f**2 + 3*a*d*e*f + b*c*e*f - 5*b*d*e**2)*log(-e**2*f**3*sqrt(-1/(e**3*f**7))*(c*f - d*e)*(a*c*f**2 + 3*a*d*e*f + b*c*e*f - 5*b*d*e**2)/(a*c**2*f**3 + 2*a*c*d*e*f**2 - 3*a*d**2*e**2*f + b*c**2*e*f**2 - 6*b*c*d*e**2*f + 5*b*d**2*e**3) + x)/4 + sqrt(-1/(e**3*f**7))*(c*f - d*e)*(a*c*f**2 + 3*a*d*e*f + b*c*e*f - 5*b*d*e**2)*log(e**2*f**3*sqrt(-1/(e**3*f**7))*(c*f - d*e)*(a*c*f**2 + 3*a*d*e*f + b*c*e*f - 5*b*d*e**2)/(a*c**2*f**3 + 2*a*c*d*e*f**2 - 3*a*d**2*e**2*f + b*c**2*e*f**2 - 6*b*c*d*e**2*f + 5*b*d**2*e**3) + x)/4","B",0
14,1,400,0,11.983844," ","integrate((b*x**2+a)*(d*x**2+c)**2/(f*x**2+e)**3,x)","\frac{b d^{2} x}{f^{3}} - \frac{\sqrt{- \frac{1}{e^{5} f^{7}}} \left(3 a c^{2} f^{3} + 2 a c d e f^{2} + 3 a d^{2} e^{2} f + b c^{2} e f^{2} + 6 b c d e^{2} f - 15 b d^{2} e^{3}\right) \log{\left(- e^{3} f^{3} \sqrt{- \frac{1}{e^{5} f^{7}}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{e^{5} f^{7}}} \left(3 a c^{2} f^{3} + 2 a c d e f^{2} + 3 a d^{2} e^{2} f + b c^{2} e f^{2} + 6 b c d e^{2} f - 15 b d^{2} e^{3}\right) \log{\left(e^{3} f^{3} \sqrt{- \frac{1}{e^{5} f^{7}}} + x \right)}}{16} + \frac{x^{3} \left(3 a c^{2} f^{4} + 2 a c d e f^{3} - 5 a d^{2} e^{2} f^{2} + b c^{2} e f^{3} - 10 b c d e^{2} f^{2} + 9 b d^{2} e^{3} f\right) + x \left(5 a c^{2} e f^{3} - 2 a c d e^{2} f^{2} - 3 a d^{2} e^{3} f - b c^{2} e^{2} f^{2} - 6 b c d e^{3} f + 7 b d^{2} e^{4}\right)}{8 e^{4} f^{3} + 16 e^{3} f^{4} x^{2} + 8 e^{2} f^{5} x^{4}}"," ",0,"b*d**2*x/f**3 - sqrt(-1/(e**5*f**7))*(3*a*c**2*f**3 + 2*a*c*d*e*f**2 + 3*a*d**2*e**2*f + b*c**2*e*f**2 + 6*b*c*d*e**2*f - 15*b*d**2*e**3)*log(-e**3*f**3*sqrt(-1/(e**5*f**7)) + x)/16 + sqrt(-1/(e**5*f**7))*(3*a*c**2*f**3 + 2*a*c*d*e*f**2 + 3*a*d**2*e**2*f + b*c**2*e*f**2 + 6*b*c*d*e**2*f - 15*b*d**2*e**3)*log(e**3*f**3*sqrt(-1/(e**5*f**7)) + x)/16 + (x**3*(3*a*c**2*f**4 + 2*a*c*d*e*f**3 - 5*a*d**2*e**2*f**2 + b*c**2*e*f**3 - 10*b*c*d*e**2*f**2 + 9*b*d**2*e**3*f) + x*(5*a*c**2*e*f**3 - 2*a*c*d*e**2*f**2 - 3*a*d**2*e**3*f - b*c**2*e**2*f**2 - 6*b*c*d*e**3*f + 7*b*d**2*e**4))/(8*e**4*f**3 + 16*e**3*f**4*x**2 + 8*e**2*f**5*x**4)","B",0
15,1,486,0,42.071878," ","integrate((b*x**2+a)*(d*x**2+c)**2/(f*x**2+e)**4,x)","- \frac{\sqrt{- \frac{1}{e^{7} f^{7}}} \left(5 a c^{2} f^{3} + 2 a c d e f^{2} + a d^{2} e^{2} f + b c^{2} e f^{2} + 2 b c d e^{2} f + 5 b d^{2} e^{3}\right) \log{\left(- e^{4} f^{3} \sqrt{- \frac{1}{e^{7} f^{7}}} + x \right)}}{32} + \frac{\sqrt{- \frac{1}{e^{7} f^{7}}} \left(5 a c^{2} f^{3} + 2 a c d e f^{2} + a d^{2} e^{2} f + b c^{2} e f^{2} + 2 b c d e^{2} f + 5 b d^{2} e^{3}\right) \log{\left(e^{4} f^{3} \sqrt{- \frac{1}{e^{7} f^{7}}} + x \right)}}{32} + \frac{x^{5} \left(15 a c^{2} f^{5} + 6 a c d e f^{4} + 3 a d^{2} e^{2} f^{3} + 3 b c^{2} e f^{4} + 6 b c d e^{2} f^{3} - 33 b d^{2} e^{3} f^{2}\right) + x^{3} \left(40 a c^{2} e f^{4} + 16 a c d e^{2} f^{3} - 8 a d^{2} e^{3} f^{2} + 8 b c^{2} e^{2} f^{3} - 16 b c d e^{3} f^{2} - 40 b d^{2} e^{4} f\right) + x \left(33 a c^{2} e^{2} f^{3} - 6 a c d e^{3} f^{2} - 3 a d^{2} e^{4} f - 3 b c^{2} e^{3} f^{2} - 6 b c d e^{4} f - 15 b d^{2} e^{5}\right)}{48 e^{6} f^{3} + 144 e^{5} f^{4} x^{2} + 144 e^{4} f^{5} x^{4} + 48 e^{3} f^{6} x^{6}}"," ",0,"-sqrt(-1/(e**7*f**7))*(5*a*c**2*f**3 + 2*a*c*d*e*f**2 + a*d**2*e**2*f + b*c**2*e*f**2 + 2*b*c*d*e**2*f + 5*b*d**2*e**3)*log(-e**4*f**3*sqrt(-1/(e**7*f**7)) + x)/32 + sqrt(-1/(e**7*f**7))*(5*a*c**2*f**3 + 2*a*c*d*e*f**2 + a*d**2*e**2*f + b*c**2*e*f**2 + 2*b*c*d*e**2*f + 5*b*d**2*e**3)*log(e**4*f**3*sqrt(-1/(e**7*f**7)) + x)/32 + (x**5*(15*a*c**2*f**5 + 6*a*c*d*e*f**4 + 3*a*d**2*e**2*f**3 + 3*b*c**2*e*f**4 + 6*b*c*d*e**2*f**3 - 33*b*d**2*e**3*f**2) + x**3*(40*a*c**2*e*f**4 + 16*a*c*d*e**2*f**3 - 8*a*d**2*e**3*f**2 + 8*b*c**2*e**2*f**3 - 16*b*c*d*e**3*f**2 - 40*b*d**2*e**4*f) + x*(33*a*c**2*e**2*f**3 - 6*a*c*d*e**3*f**2 - 3*a*d**2*e**4*f - 3*b*c**2*e**3*f**2 - 6*b*c*d*e**4*f - 15*b*d**2*e**5))/(48*e**6*f**3 + 144*e**5*f**4*x**2 + 144*e**4*f**5*x**4 + 48*e**3*f**6*x**6)","B",0
16,1,423,0,0.126247," ","integrate((b*x**2+a)*(d*x**2+c)**3*(f*x**2+e)**3,x)","a c^{3} e^{3} x + \frac{b d^{3} f^{3} x^{15}}{15} + x^{13} \left(\frac{a d^{3} f^{3}}{13} + \frac{3 b c d^{2} f^{3}}{13} + \frac{3 b d^{3} e f^{2}}{13}\right) + x^{11} \left(\frac{3 a c d^{2} f^{3}}{11} + \frac{3 a d^{3} e f^{2}}{11} + \frac{3 b c^{2} d f^{3}}{11} + \frac{9 b c d^{2} e f^{2}}{11} + \frac{3 b d^{3} e^{2} f}{11}\right) + x^{9} \left(\frac{a c^{2} d f^{3}}{3} + a c d^{2} e f^{2} + \frac{a d^{3} e^{2} f}{3} + \frac{b c^{3} f^{3}}{9} + b c^{2} d e f^{2} + b c d^{2} e^{2} f + \frac{b d^{3} e^{3}}{9}\right) + x^{7} \left(\frac{a c^{3} f^{3}}{7} + \frac{9 a c^{2} d e f^{2}}{7} + \frac{9 a c d^{2} e^{2} f}{7} + \frac{a d^{3} e^{3}}{7} + \frac{3 b c^{3} e f^{2}}{7} + \frac{9 b c^{2} d e^{2} f}{7} + \frac{3 b c d^{2} e^{3}}{7}\right) + x^{5} \left(\frac{3 a c^{3} e f^{2}}{5} + \frac{9 a c^{2} d e^{2} f}{5} + \frac{3 a c d^{2} e^{3}}{5} + \frac{3 b c^{3} e^{2} f}{5} + \frac{3 b c^{2} d e^{3}}{5}\right) + x^{3} \left(a c^{3} e^{2} f + a c^{2} d e^{3} + \frac{b c^{3} e^{3}}{3}\right)"," ",0,"a*c**3*e**3*x + b*d**3*f**3*x**15/15 + x**13*(a*d**3*f**3/13 + 3*b*c*d**2*f**3/13 + 3*b*d**3*e*f**2/13) + x**11*(3*a*c*d**2*f**3/11 + 3*a*d**3*e*f**2/11 + 3*b*c**2*d*f**3/11 + 9*b*c*d**2*e*f**2/11 + 3*b*d**3*e**2*f/11) + x**9*(a*c**2*d*f**3/3 + a*c*d**2*e*f**2 + a*d**3*e**2*f/3 + b*c**3*f**3/9 + b*c**2*d*e*f**2 + b*c*d**2*e**2*f + b*d**3*e**3/9) + x**7*(a*c**3*f**3/7 + 9*a*c**2*d*e*f**2/7 + 9*a*c*d**2*e**2*f/7 + a*d**3*e**3/7 + 3*b*c**3*e*f**2/7 + 9*b*c**2*d*e**2*f/7 + 3*b*c*d**2*e**3/7) + x**5*(3*a*c**3*e*f**2/5 + 9*a*c**2*d*e**2*f/5 + 3*a*c*d**2*e**3/5 + 3*b*c**3*e**2*f/5 + 3*b*c**2*d*e**3/5) + x**3*(a*c**3*e**2*f + a*c**2*d*e**3 + b*c**3*e**3/3)","A",0
17,1,304,0,0.111383," ","integrate((b*x**2+a)*(d*x**2+c)**3*(f*x**2+e)**2,x)","a c^{3} e^{2} x + \frac{b d^{3} f^{2} x^{13}}{13} + x^{11} \left(\frac{a d^{3} f^{2}}{11} + \frac{3 b c d^{2} f^{2}}{11} + \frac{2 b d^{3} e f}{11}\right) + x^{9} \left(\frac{a c d^{2} f^{2}}{3} + \frac{2 a d^{3} e f}{9} + \frac{b c^{2} d f^{2}}{3} + \frac{2 b c d^{2} e f}{3} + \frac{b d^{3} e^{2}}{9}\right) + x^{7} \left(\frac{3 a c^{2} d f^{2}}{7} + \frac{6 a c d^{2} e f}{7} + \frac{a d^{3} e^{2}}{7} + \frac{b c^{3} f^{2}}{7} + \frac{6 b c^{2} d e f}{7} + \frac{3 b c d^{2} e^{2}}{7}\right) + x^{5} \left(\frac{a c^{3} f^{2}}{5} + \frac{6 a c^{2} d e f}{5} + \frac{3 a c d^{2} e^{2}}{5} + \frac{2 b c^{3} e f}{5} + \frac{3 b c^{2} d e^{2}}{5}\right) + x^{3} \left(\frac{2 a c^{3} e f}{3} + a c^{2} d e^{2} + \frac{b c^{3} e^{2}}{3}\right)"," ",0,"a*c**3*e**2*x + b*d**3*f**2*x**13/13 + x**11*(a*d**3*f**2/11 + 3*b*c*d**2*f**2/11 + 2*b*d**3*e*f/11) + x**9*(a*c*d**2*f**2/3 + 2*a*d**3*e*f/9 + b*c**2*d*f**2/3 + 2*b*c*d**2*e*f/3 + b*d**3*e**2/9) + x**7*(3*a*c**2*d*f**2/7 + 6*a*c*d**2*e*f/7 + a*d**3*e**2/7 + b*c**3*f**2/7 + 6*b*c**2*d*e*f/7 + 3*b*c*d**2*e**2/7) + x**5*(a*c**3*f**2/5 + 6*a*c**2*d*e*f/5 + 3*a*c*d**2*e**2/5 + 2*b*c**3*e*f/5 + 3*b*c**2*d*e**2/5) + x**3*(2*a*c**3*e*f/3 + a*c**2*d*e**2 + b*c**3*e**2/3)","A",0
18,1,173,0,0.093319," ","integrate((b*x**2+a)*(d*x**2+c)**3*(f*x**2+e),x)","a c^{3} e x + \frac{b d^{3} f x^{11}}{11} + x^{9} \left(\frac{a d^{3} f}{9} + \frac{b c d^{2} f}{3} + \frac{b d^{3} e}{9}\right) + x^{7} \left(\frac{3 a c d^{2} f}{7} + \frac{a d^{3} e}{7} + \frac{3 b c^{2} d f}{7} + \frac{3 b c d^{2} e}{7}\right) + x^{5} \left(\frac{3 a c^{2} d f}{5} + \frac{3 a c d^{2} e}{5} + \frac{b c^{3} f}{5} + \frac{3 b c^{2} d e}{5}\right) + x^{3} \left(\frac{a c^{3} f}{3} + a c^{2} d e + \frac{b c^{3} e}{3}\right)"," ",0,"a*c**3*e*x + b*d**3*f*x**11/11 + x**9*(a*d**3*f/9 + b*c*d**2*f/3 + b*d**3*e/9) + x**7*(3*a*c*d**2*f/7 + a*d**3*e/7 + 3*b*c**2*d*f/7 + 3*b*c*d**2*e/7) + x**5*(3*a*c**2*d*f/5 + 3*a*c*d**2*e/5 + b*c**3*f/5 + 3*b*c**2*d*e/5) + x**3*(a*c**3*f/3 + a*c**2*d*e + b*c**3*e/3)","A",0
19,1,508,0,1.492090," ","integrate((b*x**2+a)*(d*x**2+c)**3/(f*x**2+e),x)","\frac{b d^{3} x^{7}}{7 f} + x^{5} \left(\frac{a d^{3}}{5 f} + \frac{3 b c d^{2}}{5 f} - \frac{b d^{3} e}{5 f^{2}}\right) + x^{3} \left(\frac{a c d^{2}}{f} - \frac{a d^{3} e}{3 f^{2}} + \frac{b c^{2} d}{f} - \frac{b c d^{2} e}{f^{2}} + \frac{b d^{3} e^{2}}{3 f^{3}}\right) + x \left(\frac{3 a c^{2} d}{f} - \frac{3 a c d^{2} e}{f^{2}} + \frac{a d^{3} e^{2}}{f^{3}} + \frac{b c^{3}}{f} - \frac{3 b c^{2} d e}{f^{2}} + \frac{3 b c d^{2} e^{2}}{f^{3}} - \frac{b d^{3} e^{3}}{f^{4}}\right) - \frac{\sqrt{- \frac{1}{e f^{9}}} \left(a f - b e\right) \left(c f - d e\right)^{3} \log{\left(- \frac{e f^{4} \sqrt{- \frac{1}{e f^{9}}} \left(a f - b e\right) \left(c f - d e\right)^{3}}{a c^{3} f^{4} - 3 a c^{2} d e f^{3} + 3 a c d^{2} e^{2} f^{2} - a d^{3} e^{3} f - b c^{3} e f^{3} + 3 b c^{2} d e^{2} f^{2} - 3 b c d^{2} e^{3} f + b d^{3} e^{4}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{e f^{9}}} \left(a f - b e\right) \left(c f - d e\right)^{3} \log{\left(\frac{e f^{4} \sqrt{- \frac{1}{e f^{9}}} \left(a f - b e\right) \left(c f - d e\right)^{3}}{a c^{3} f^{4} - 3 a c^{2} d e f^{3} + 3 a c d^{2} e^{2} f^{2} - a d^{3} e^{3} f - b c^{3} e f^{3} + 3 b c^{2} d e^{2} f^{2} - 3 b c d^{2} e^{3} f + b d^{3} e^{4}} + x \right)}}{2}"," ",0,"b*d**3*x**7/(7*f) + x**5*(a*d**3/(5*f) + 3*b*c*d**2/(5*f) - b*d**3*e/(5*f**2)) + x**3*(a*c*d**2/f - a*d**3*e/(3*f**2) + b*c**2*d/f - b*c*d**2*e/f**2 + b*d**3*e**2/(3*f**3)) + x*(3*a*c**2*d/f - 3*a*c*d**2*e/f**2 + a*d**3*e**2/f**3 + b*c**3/f - 3*b*c**2*d*e/f**2 + 3*b*c*d**2*e**2/f**3 - b*d**3*e**3/f**4) - sqrt(-1/(e*f**9))*(a*f - b*e)*(c*f - d*e)**3*log(-e*f**4*sqrt(-1/(e*f**9))*(a*f - b*e)*(c*f - d*e)**3/(a*c**3*f**4 - 3*a*c**2*d*e*f**3 + 3*a*c*d**2*e**2*f**2 - a*d**3*e**3*f - b*c**3*e*f**3 + 3*b*c**2*d*e**2*f**2 - 3*b*c*d**2*e**3*f + b*d**3*e**4) + x)/2 + sqrt(-1/(e*f**9))*(a*f - b*e)*(c*f - d*e)**3*log(e*f**4*sqrt(-1/(e*f**9))*(a*f - b*e)*(c*f - d*e)**3/(a*c**3*f**4 - 3*a*c**2*d*e*f**3 + 3*a*c*d**2*e**2*f**2 - a*d**3*e**3*f - b*c**3*e*f**3 + 3*b*c**2*d*e**2*f**2 - 3*b*c*d**2*e**3*f + b*d**3*e**4) + x)/2","B",0
20,1,661,0,4.749385," ","integrate((b*x**2+a)*(d*x**2+c)**3/(f*x**2+e)**2,x)","\frac{b d^{3} x^{5}}{5 f^{2}} + x^{3} \left(\frac{a d^{3}}{3 f^{2}} + \frac{b c d^{2}}{f^{2}} - \frac{2 b d^{3} e}{3 f^{3}}\right) + x \left(\frac{3 a c d^{2}}{f^{2}} - \frac{2 a d^{3} e}{f^{3}} + \frac{3 b c^{2} d}{f^{2}} - \frac{6 b c d^{2} e}{f^{3}} + \frac{3 b d^{3} e^{2}}{f^{4}}\right) + \frac{x \left(a c^{3} f^{4} - 3 a c^{2} d e f^{3} + 3 a c d^{2} e^{2} f^{2} - a d^{3} e^{3} f - b c^{3} e f^{3} + 3 b c^{2} d e^{2} f^{2} - 3 b c d^{2} e^{3} f + b d^{3} e^{4}\right)}{2 e^{2} f^{4} + 2 e f^{5} x^{2}} - \frac{\sqrt{- \frac{1}{e^{3} f^{9}}} \left(c f - d e\right)^{2} \left(a c f^{2} + 5 a d e f + b c e f - 7 b d e^{2}\right) \log{\left(- \frac{e^{2} f^{4} \sqrt{- \frac{1}{e^{3} f^{9}}} \left(c f - d e\right)^{2} \left(a c f^{2} + 5 a d e f + b c e f - 7 b d e^{2}\right)}{a c^{3} f^{4} + 3 a c^{2} d e f^{3} - 9 a c d^{2} e^{2} f^{2} + 5 a d^{3} e^{3} f + b c^{3} e f^{3} - 9 b c^{2} d e^{2} f^{2} + 15 b c d^{2} e^{3} f - 7 b d^{3} e^{4}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{e^{3} f^{9}}} \left(c f - d e\right)^{2} \left(a c f^{2} + 5 a d e f + b c e f - 7 b d e^{2}\right) \log{\left(\frac{e^{2} f^{4} \sqrt{- \frac{1}{e^{3} f^{9}}} \left(c f - d e\right)^{2} \left(a c f^{2} + 5 a d e f + b c e f - 7 b d e^{2}\right)}{a c^{3} f^{4} + 3 a c^{2} d e f^{3} - 9 a c d^{2} e^{2} f^{2} + 5 a d^{3} e^{3} f + b c^{3} e f^{3} - 9 b c^{2} d e^{2} f^{2} + 15 b c d^{2} e^{3} f - 7 b d^{3} e^{4}} + x \right)}}{4}"," ",0,"b*d**3*x**5/(5*f**2) + x**3*(a*d**3/(3*f**2) + b*c*d**2/f**2 - 2*b*d**3*e/(3*f**3)) + x*(3*a*c*d**2/f**2 - 2*a*d**3*e/f**3 + 3*b*c**2*d/f**2 - 6*b*c*d**2*e/f**3 + 3*b*d**3*e**2/f**4) + x*(a*c**3*f**4 - 3*a*c**2*d*e*f**3 + 3*a*c*d**2*e**2*f**2 - a*d**3*e**3*f - b*c**3*e*f**3 + 3*b*c**2*d*e**2*f**2 - 3*b*c*d**2*e**3*f + b*d**3*e**4)/(2*e**2*f**4 + 2*e*f**5*x**2) - sqrt(-1/(e**3*f**9))*(c*f - d*e)**2*(a*c*f**2 + 5*a*d*e*f + b*c*e*f - 7*b*d*e**2)*log(-e**2*f**4*sqrt(-1/(e**3*f**9))*(c*f - d*e)**2*(a*c*f**2 + 5*a*d*e*f + b*c*e*f - 7*b*d*e**2)/(a*c**3*f**4 + 3*a*c**2*d*e*f**3 - 9*a*c*d**2*e**2*f**2 + 5*a*d**3*e**3*f + b*c**3*e*f**3 - 9*b*c**2*d*e**2*f**2 + 15*b*c*d**2*e**3*f - 7*b*d**3*e**4) + x)/4 + sqrt(-1/(e**3*f**9))*(c*f - d*e)**2*(a*c*f**2 + 5*a*d*e*f + b*c*e*f - 7*b*d*e**2)*log(e**2*f**4*sqrt(-1/(e**3*f**9))*(c*f - d*e)**2*(a*c*f**2 + 5*a*d*e*f + b*c*e*f - 7*b*d*e**2)/(a*c**3*f**4 + 3*a*c**2*d*e*f**3 - 9*a*c*d**2*e**2*f**2 + 5*a*d**3*e**3*f + b*c**3*e*f**3 - 9*b*c**2*d*e**2*f**2 + 15*b*c*d**2*e**3*f - 7*b*d**3*e**4) + x)/4","B",0
21,1,865,0,26.161735," ","integrate((b*x**2+a)*(d*x**2+c)**3/(f*x**2+e)**3,x)","\frac{b d^{3} x^{3}}{3 f^{3}} + x \left(\frac{a d^{3}}{f^{3}} + \frac{3 b c d^{2}}{f^{3}} - \frac{3 b d^{3} e}{f^{4}}\right) - \frac{\sqrt{- \frac{1}{e^{5} f^{9}}} \left(c f - d e\right) \left(3 a c^{2} f^{3} + 6 a c d e f^{2} + 15 a d^{2} e^{2} f + b c^{2} e f^{2} + 10 b c d e^{2} f - 35 b d^{2} e^{3}\right) \log{\left(- \frac{e^{3} f^{4} \sqrt{- \frac{1}{e^{5} f^{9}}} \left(c f - d e\right) \left(3 a c^{2} f^{3} + 6 a c d e f^{2} + 15 a d^{2} e^{2} f + b c^{2} e f^{2} + 10 b c d e^{2} f - 35 b d^{2} e^{3}\right)}{3 a c^{3} f^{4} + 3 a c^{2} d e f^{3} + 9 a c d^{2} e^{2} f^{2} - 15 a d^{3} e^{3} f + b c^{3} e f^{3} + 9 b c^{2} d e^{2} f^{2} - 45 b c d^{2} e^{3} f + 35 b d^{3} e^{4}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{e^{5} f^{9}}} \left(c f - d e\right) \left(3 a c^{2} f^{3} + 6 a c d e f^{2} + 15 a d^{2} e^{2} f + b c^{2} e f^{2} + 10 b c d e^{2} f - 35 b d^{2} e^{3}\right) \log{\left(\frac{e^{3} f^{4} \sqrt{- \frac{1}{e^{5} f^{9}}} \left(c f - d e\right) \left(3 a c^{2} f^{3} + 6 a c d e f^{2} + 15 a d^{2} e^{2} f + b c^{2} e f^{2} + 10 b c d e^{2} f - 35 b d^{2} e^{3}\right)}{3 a c^{3} f^{4} + 3 a c^{2} d e f^{3} + 9 a c d^{2} e^{2} f^{2} - 15 a d^{3} e^{3} f + b c^{3} e f^{3} + 9 b c^{2} d e^{2} f^{2} - 45 b c d^{2} e^{3} f + 35 b d^{3} e^{4}} + x \right)}}{16} + \frac{x^{3} \left(3 a c^{3} f^{5} + 3 a c^{2} d e f^{4} - 15 a c d^{2} e^{2} f^{3} + 9 a d^{3} e^{3} f^{2} + b c^{3} e f^{4} - 15 b c^{2} d e^{2} f^{3} + 27 b c d^{2} e^{3} f^{2} - 13 b d^{3} e^{4} f\right) + x \left(5 a c^{3} e f^{4} - 3 a c^{2} d e^{2} f^{3} - 9 a c d^{2} e^{3} f^{2} + 7 a d^{3} e^{4} f - b c^{3} e^{2} f^{3} - 9 b c^{2} d e^{3} f^{2} + 21 b c d^{2} e^{4} f - 11 b d^{3} e^{5}\right)}{8 e^{4} f^{4} + 16 e^{3} f^{5} x^{2} + 8 e^{2} f^{6} x^{4}}"," ",0,"b*d**3*x**3/(3*f**3) + x*(a*d**3/f**3 + 3*b*c*d**2/f**3 - 3*b*d**3*e/f**4) - sqrt(-1/(e**5*f**9))*(c*f - d*e)*(3*a*c**2*f**3 + 6*a*c*d*e*f**2 + 15*a*d**2*e**2*f + b*c**2*e*f**2 + 10*b*c*d*e**2*f - 35*b*d**2*e**3)*log(-e**3*f**4*sqrt(-1/(e**5*f**9))*(c*f - d*e)*(3*a*c**2*f**3 + 6*a*c*d*e*f**2 + 15*a*d**2*e**2*f + b*c**2*e*f**2 + 10*b*c*d*e**2*f - 35*b*d**2*e**3)/(3*a*c**3*f**4 + 3*a*c**2*d*e*f**3 + 9*a*c*d**2*e**2*f**2 - 15*a*d**3*e**3*f + b*c**3*e*f**3 + 9*b*c**2*d*e**2*f**2 - 45*b*c*d**2*e**3*f + 35*b*d**3*e**4) + x)/16 + sqrt(-1/(e**5*f**9))*(c*f - d*e)*(3*a*c**2*f**3 + 6*a*c*d*e*f**2 + 15*a*d**2*e**2*f + b*c**2*e*f**2 + 10*b*c*d*e**2*f - 35*b*d**2*e**3)*log(e**3*f**4*sqrt(-1/(e**5*f**9))*(c*f - d*e)*(3*a*c**2*f**3 + 6*a*c*d*e*f**2 + 15*a*d**2*e**2*f + b*c**2*e*f**2 + 10*b*c*d*e**2*f - 35*b*d**2*e**3)/(3*a*c**3*f**4 + 3*a*c**2*d*e*f**3 + 9*a*c*d**2*e**2*f**2 - 15*a*d**3*e**3*f + b*c**3*e*f**3 + 9*b*c**2*d*e**2*f**2 - 45*b*c*d**2*e**3*f + 35*b*d**3*e**4) + x)/16 + (x**3*(3*a*c**3*f**5 + 3*a*c**2*d*e*f**4 - 15*a*c*d**2*e**2*f**3 + 9*a*d**3*e**3*f**2 + b*c**3*e*f**4 - 15*b*c**2*d*e**2*f**3 + 27*b*c*d**2*e**3*f**2 - 13*b*d**3*e**4*f) + x*(5*a*c**3*e*f**4 - 3*a*c**2*d*e**2*f**3 - 9*a*c*d**2*e**3*f**2 + 7*a*d**3*e**4*f - b*c**3*e**2*f**3 - 9*b*c**2*d*e**3*f**2 + 21*b*c*d**2*e**4*f - 11*b*d**3*e**5))/(8*e**4*f**4 + 16*e**3*f**5*x**2 + 8*e**2*f**6*x**4)","B",0
22,-1,0,0,0.000000," ","integrate((b*x**2+a)*(d*x**2+c)**3/(f*x**2+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{3}{2}} \sqrt{e + f x^{2}}\, dx"," ",0,"Integral((a + b*x**2)*(c + d*x**2)**(3/2)*sqrt(e + f*x**2), 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)","\int \left(a + b x^{2}\right) \sqrt{c + d x^{2}} \sqrt{e + f x^{2}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(c + d*x**2)*sqrt(e + f*x**2), 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)","\int \frac{\left(a + b x^{2}\right) \sqrt{e + f x^{2}}}{\sqrt{c + d x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(e + f*x**2)/sqrt(c + d*x**2), 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)","\int \frac{\left(a + b x^{2}\right) \sqrt{e + f x^{2}}}{\left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(e + f*x**2)/(c + d*x**2)**(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)","\int \frac{\left(a + b x^{2}\right) \sqrt{e + f x^{2}}}{\left(c + d x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(e + f*x**2)/(c + d*x**2)**(5/2), x)","F",0
28,-1,0,0,0.000000," ","integrate((b*x**2+a)*(f*x**2+e)**(1/2)/(d*x**2+c)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \left(a + b x^{2}\right) \sqrt{c + d x^{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(c + d*x**2)*(e + f*x**2)**(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)","\int \frac{\left(a + b x^{2}\right) \left(e + f x^{2}\right)^{\frac{3}{2}}}{\sqrt{c + d x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)*(e + f*x**2)**(3/2)/sqrt(c + d*x**2), 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)","\int \frac{\left(a + b x^{2}\right) \left(e + f x^{2}\right)^{\frac{3}{2}}}{\left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)*(e + f*x**2)**(3/2)/(c + d*x**2)**(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)","\int \frac{\left(a + b x^{2}\right) \left(e + f x^{2}\right)^{\frac{3}{2}}}{\left(c + d x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*x**2)*(e + f*x**2)**(3/2)/(c + d*x**2)**(5/2), x)","F",0
33,-1,0,0,0.000000," ","integrate((b*x**2+a)*(f*x**2+e)**(3/2)/(d*x**2+c)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate((b*x**2+a)*(f*x**2+e)**(3/2)/(d*x**2+c)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{5}{2}}}{\sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)*(c + d*x**2)**(5/2)/sqrt(e + f*x**2), 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)","\int \frac{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{3}{2}}}{\sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)*(c + d*x**2)**(3/2)/sqrt(e + f*x**2), 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)","\int \frac{\left(a + b x^{2}\right) \sqrt{c + d x^{2}}}{\sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(c + d*x**2)/sqrt(e + f*x**2), 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)","\int \frac{a + b x^{2}}{\sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)/(sqrt(c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{a + b x^{2}}{\left(c + d x^{2}\right)^{\frac{3}{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)/((c + d*x**2)**(3/2)*sqrt(e + f*x**2)), 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)","\int \frac{a + b x^{2}}{\left(c + d x^{2}\right)^{\frac{5}{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)/((c + d*x**2)**(5/2)*sqrt(e + f*x**2)), x)","F",0
41,-1,0,0,0.000000," ","integrate((b*x**2+a)/(d*x**2+c)**(7/2)/(f*x**2+e)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{5}{2}}}{\left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)*(c + d*x**2)**(5/2)/(e + f*x**2)**(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)","\int \frac{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{3}{2}}}{\left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)*(c + d*x**2)**(3/2)/(e + f*x**2)**(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)","\int \frac{\left(a + b x^{2}\right) \sqrt{c + d x^{2}}}{\left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(c + d*x**2)/(e + f*x**2)**(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)","\int \frac{a + b x^{2}}{\sqrt{c + d x^{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)/(sqrt(c + d*x**2)*(e + f*x**2)**(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)","\int \frac{a + b x^{2}}{\left(c + d x^{2}\right)^{\frac{3}{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)/((c + d*x**2)**(3/2)*(e + f*x**2)**(3/2)), x)","F",0
47,-1,0,0,0.000000," ","integrate((b*x**2+a)/(d*x**2+c)**(5/2)/(f*x**2+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{e + f x^{2}}{\sqrt{a + b x^{2}} \left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e + f*x**2)/(sqrt(a + b*x**2)*(c + d*x**2)**(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)","\int \frac{e + f x^{2}}{\sqrt{a - b x^{2}} \left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e + f*x**2)/(sqrt(a - b*x**2)*(c + d*x**2)**(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)","\int \frac{e + f x^{2}}{\sqrt{a + b x^{2}} \left(c - d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e + f*x**2)/(sqrt(a + b*x**2)*(c - d*x**2)**(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)","\int \frac{e + f x^{2}}{\sqrt{a - b x^{2}} \left(c - d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e + f*x**2)/(sqrt(a - b*x**2)*(c - d*x**2)**(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)","\int \frac{a + b x^{2}}{\sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}}\, dx"," ",0,"Integral((a + b*x**2)/(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)","\int \frac{\left(a + b x^{2}\right) \sqrt{d x^{2} + 2}}{\sqrt{f x^{2} + 3}}\, dx"," ",0,"Integral((a + b*x**2)*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)","\int \left(a + b x^{2}\right) \sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}\, dx"," ",0,"Integral((a + b*x**2)*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)","\int \frac{- b + 2 c x^{2} - \sqrt{- 4 a c + b^{2}}}{\sqrt{\frac{- b + 2 c x^{2} - \sqrt{- 4 a c + b^{2}}}{- b - \sqrt{- 4 a c + b^{2}}}} \sqrt{\frac{- b + 2 c x^{2} + \sqrt{- 4 a c + b^{2}}}{- b + \sqrt{- 4 a c + b^{2}}}}}\, dx"," ",0,"Integral((-b + 2*c*x**2 - sqrt(-4*a*c + b**2))/(sqrt((-b + 2*c*x**2 - sqrt(-4*a*c + b**2))/(-b - sqrt(-4*a*c + b**2)))*sqrt((-b + 2*c*x**2 + sqrt(-4*a*c + b**2))/(-b + sqrt(-4*a*c + b**2)))), 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)","\int \frac{b + 2 c x^{2} - \sqrt{- 4 a c + b^{2}}}{\sqrt{\frac{b + 2 c x^{2} - \sqrt{- 4 a c + b^{2}}}{b - \sqrt{- 4 a c + b^{2}}}} \sqrt{\frac{b + 2 c x^{2} + \sqrt{- 4 a c + b^{2}}}{b + \sqrt{- 4 a c + b^{2}}}}}\, dx"," ",0,"Integral((b + 2*c*x**2 - sqrt(-4*a*c + b**2))/(sqrt((b + 2*c*x**2 - sqrt(-4*a*c + b**2))/(b - sqrt(-4*a*c + b**2)))*sqrt((b + 2*c*x**2 + sqrt(-4*a*c + b**2))/(b + sqrt(-4*a*c + b**2)))), 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)","\int \frac{\left(a + b x^{2}\right) \sqrt{c + d x^{2}}}{e + f x^{2}}\, dx"," ",0,"Integral((a + b*x**2)*sqrt(c + d*x**2)/(e + f*x**2), 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)","\int \frac{\left(a + b x^{2}\right)^{3}}{\left(c + d x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)**3/((c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{\left(a + b x^{2}\right)^{2}}{\left(c + d x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)**2/((c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{a + b x^{2}}{\left(c + d x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)/((c + d*x**2)*sqrt(e + f*x**2)), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(d*x**2+c)/(f*x**2+e)**(1/2),x)","\int \frac{1}{\left(c + d x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/((c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{1}{\left(a + b x^{2}\right) \left(c + d x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)*(c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{1}{\left(a + b x^{2}\right)^{2} \left(c + d x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)**2*(c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{\left(c + d x^{2}\right)^{\frac{5}{2}} \sqrt{e + f x^{2}}}{a + b x^{2}}\, dx"," ",0,"Integral((c + d*x**2)**(5/2)*sqrt(e + f*x**2)/(a + b*x**2), 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)","\int \frac{\left(c + d x^{2}\right)^{\frac{3}{2}} \sqrt{e + f x^{2}}}{a + b x^{2}}\, dx"," ",0,"Integral((c + d*x**2)**(3/2)*sqrt(e + f*x**2)/(a + b*x**2), 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)","\int \frac{\sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}{a + b x^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt(e + f*x**2)/(a + b*x**2), 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)","\int \frac{\sqrt{e + f x^{2}}}{\left(a + b x^{2}\right) \sqrt{c + d x^{2}}}\, dx"," ",0,"Integral(sqrt(e + f*x**2)/((a + b*x**2)*sqrt(c + d*x**2)), 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)","\int \frac{\sqrt{e + f x^{2}}}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(e + f*x**2)/((a + b*x**2)*(c + d*x**2)**(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)","\int \frac{\sqrt{e + f x^{2}}}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(e + f*x**2)/((a + b*x**2)*(c + d*x**2)**(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)","\int \frac{\sqrt{e + f x^{2}}}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sqrt(e + f*x**2)/((a + b*x**2)*(c + d*x**2)**(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)","\int \frac{\left(c + d x^{2}\right)^{\frac{3}{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}{a + b x^{2}}\, dx"," ",0,"Integral((c + d*x**2)**(3/2)*(e + f*x**2)**(3/2)/(a + b*x**2), 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)","\int \frac{\sqrt{c + d x^{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}{a + b x^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*(e + f*x**2)**(3/2)/(a + b*x**2), 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)","\int \frac{\left(e + f x^{2}\right)^{\frac{3}{2}}}{\left(a + b x^{2}\right) \sqrt{c + d x^{2}}}\, dx"," ",0,"Integral((e + f*x**2)**(3/2)/((a + b*x**2)*sqrt(c + d*x**2)), 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)","\int \frac{\left(e + f x^{2}\right)^{\frac{3}{2}}}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e + f*x**2)**(3/2)/((a + b*x**2)*(c + d*x**2)**(3/2)), x)","F",0
75,-1,0,0,0.000000," ","integrate((f*x**2+e)**(3/2)/(b*x**2+a)/(d*x**2+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate((f*x**2+e)**(3/2)/(b*x**2+a)/(d*x**2+c)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\left(c + d x^{2}\right)^{\frac{5}{2}}}{\left(a + b x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((c + d*x**2)**(5/2)/((a + b*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{\left(c + d x^{2}\right)^{\frac{3}{2}}}{\left(a + b x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((c + d*x**2)**(3/2)/((a + b*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{\sqrt{c + d x^{2}}}{\left(a + b x^{2}\right) \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)/((a + b*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{1}{\left(a + b x^{2}\right) \sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)*sqrt(c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{1}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{3}{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)*(c + d*x**2)**(3/2)*sqrt(e + f*x**2)), 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)","\int \frac{1}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{5}{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)*(c + d*x**2)**(5/2)*sqrt(e + f*x**2)), 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)","\int \frac{\left(c + d x^{2}\right)^{\frac{5}{2}}}{\left(a + b x^{2}\right) \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*x**2)**(5/2)/((a + b*x**2)*(e + f*x**2)**(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)","\int \frac{\left(c + d x^{2}\right)^{\frac{3}{2}}}{\left(a + b x^{2}\right) \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*x**2)**(3/2)/((a + b*x**2)*(e + f*x**2)**(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)","\int \frac{\sqrt{c + d x^{2}}}{\left(a + b x^{2}\right) \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)/((a + b*x**2)*(e + f*x**2)**(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)","\int \frac{1}{\left(a + b x^{2}\right) \sqrt{c + d x^{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)*sqrt(c + d*x**2)*(e + f*x**2)**(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)","\int \frac{1}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{3}{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)*(c + d*x**2)**(3/2)*(e + f*x**2)**(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)","\int \frac{1}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)^{\frac{5}{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)*(c + d*x**2)**(5/2)*(e + f*x**2)**(3/2)), x)","F",0
89,-1,0,0,0.000000," ","integrate((x**2+1)**(3/2)*(x**2+2)**(1/2)/(b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(x**2+2)**(1/2)/(b*x**2+a),x)","\int \frac{\sqrt{x^{2} + 1} \sqrt{x^{2} + 2}}{a + b x^{2}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)*sqrt(x**2 + 2)/(a + b*x**2), 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)","\int \frac{\sqrt{x^{2} + 2}}{\left(a + b x^{2}\right) \sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt(x**2 + 2)/((a + b*x**2)*sqrt(x**2 + 1)), x)","F",0
92,-1,0,0,0.000000," ","integrate((x**2+2)**(1/2)/(x**2+1)**(3/2)/(b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,-1,0,0,0.000000," ","integrate((x**2+2)**(1/2)/(x**2+1)**(5/2)/(b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}}{a + b x^{2}}\, dx"," ",0,"Integral(sqrt(d*x**2 + 2)*sqrt(f*x**2 + 3)/(a + b*x**2), 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)","\int \frac{\sqrt{d x^{2} + 2}}{\left(a + b x^{2}\right) \sqrt{f x^{2} + 3}}\, dx"," ",0,"Integral(sqrt(d*x**2 + 2)/((a + b*x**2)*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)","\int \frac{1}{\left(a + b x^{2}\right) \sqrt{d x^{2} + 2} \sqrt{f x^{2} + 3}}\, dx"," ",0,"Integral(1/((a + b*x**2)*sqrt(d*x**2 + 2)*sqrt(f*x**2 + 3)), x)","F",0
97,1,19,0,7.560170," ","integrate((-x**2+1)**(1/2)/(x**2-1)/(b*x**2+a)**(1/2),x)","\begin{cases} - \frac{F\left(\operatorname{asin}{\left(x \right)}\middle| - \frac{b}{a}\right)}{\sqrt{a}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}"," ",0,"Piecewise((-elliptic_f(asin(x), -b/a)/sqrt(a), (x > -1) & (x < 1)))","A",0
98,0,0,0,0.000000," ","integrate((b*x**2+a)/(f*x**2+e)**2/(d*x**2+c)**(1/2),x)","\int \frac{a + b x^{2}}{\sqrt{c + d x^{2}} \left(e + f x^{2}\right)^{2}}\, dx"," ",0,"Integral((a + b*x**2)/(sqrt(c + d*x**2)*(e + f*x**2)**2), x)","F",0
99,-1,0,0,0.000000," ","integrate((-d*x**2+c)**(1/2)*(f*x**2+e)**(1/2)/(b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt(e + f*x**2)/(a + b*x**2)**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)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-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)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\left(a + b x^{2}\right)^{\frac{3}{2}} \sqrt{c + d x^{2}}}{\sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)**(3/2)*sqrt(c + d*x**2)/sqrt(e + f*x**2), 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)","\int \frac{\sqrt{a + b x^{2}} \sqrt{c + d x^{2}}}{\sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x**2)*sqrt(c + d*x**2)/sqrt(e + f*x**2), 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)","\int \frac{\sqrt{c + d x^{2}}}{\sqrt{a + b x^{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)/(sqrt(a + b*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{\sqrt{c + d x^{2}}}{\left(a + b x^{2}\right)^{\frac{3}{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)/((a + b*x**2)**(3/2)*sqrt(e + f*x**2)), 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)","\int \frac{\left(a + b x^{2}\right)^{\frac{3}{2}} \sqrt{c + d x^{2}}}{\left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x**2)**(3/2)*sqrt(c + d*x**2)/(e + f*x**2)**(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)","\int \frac{\sqrt{a + b x^{2}} \sqrt{c + d x^{2}}}{\left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x**2)*sqrt(c + d*x**2)/(e + f*x**2)**(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)","\int \frac{\sqrt{c + d x^{2}}}{\sqrt{a + b x^{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)/(sqrt(a + b*x**2)*(e + f*x**2)**(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)","\int \frac{\sqrt{c + d x^{2}}}{\left(a + b x^{2}\right)^{\frac{3}{2}} \left(e + f x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)/((a + b*x**2)**(3/2)*(e + f*x**2)**(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)","\int \frac{\sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}{\sqrt{a + b x^{2}}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt(e + f*x**2)/sqrt(a + b*x**2), 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)","\int \frac{\left(a + b x^{2}\right)^{\frac{3}{2}}}{\sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral((a + b*x**2)**(3/2)/(sqrt(c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{\sqrt{a + b x^{2}}}{\sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x**2)/(sqrt(c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{1}{\sqrt{a + b x^{2}} \sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x**2)*sqrt(c + d*x**2)*sqrt(e + f*x**2)), 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)","\int \frac{1}{\left(a + b x^{2}\right)^{\frac{3}{2}} \sqrt{c + d x^{2}} \sqrt{e + f x^{2}}}\, dx"," ",0,"Integral(1/((a + b*x**2)**(3/2)*sqrt(c + d*x**2)*sqrt(e + f*x**2)), x)","F",0
