1,1,29,0,0.073717," ","integrate(x**2*(B*x**2+A)*(c*x**4+b*x**2),x)","\frac{A b x^{5}}{5} + \frac{B c x^{9}}{9} + x^{7} \left(\frac{A c}{7} + \frac{B b}{7}\right)"," ",0,"A*b*x**5/5 + B*c*x**9/9 + x**7*(A*c/7 + B*b/7)","A",0
2,1,29,0,0.066438," ","integrate(x*(B*x**2+A)*(c*x**4+b*x**2),x)","\frac{A b x^{4}}{4} + \frac{B c x^{8}}{8} + x^{6} \left(\frac{A c}{6} + \frac{B b}{6}\right)"," ",0,"A*b*x**4/4 + B*c*x**8/8 + x**6*(A*c/6 + B*b/6)","A",0
3,1,29,0,0.066423," ","integrate((B*x**2+A)*(c*x**4+b*x**2),x)","\frac{A b x^{3}}{3} + \frac{B c x^{7}}{7} + x^{5} \left(\frac{A c}{5} + \frac{B b}{5}\right)"," ",0,"A*b*x**3/3 + B*c*x**7/7 + x**5*(A*c/5 + B*b/5)","A",0
4,1,29,0,0.067243," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x,x)","\frac{A b x^{2}}{2} + \frac{B c x^{6}}{6} + x^{4} \left(\frac{A c}{4} + \frac{B b}{4}\right)"," ",0,"A*b*x**2/2 + B*c*x**6/6 + x**4*(A*c/4 + B*b/4)","A",0
5,1,26,0,0.066158," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**2,x)","A b x + \frac{B c x^{5}}{5} + x^{3} \left(\frac{A c}{3} + \frac{B b}{3}\right)"," ",0,"A*b*x + B*c*x**5/5 + x**3*(A*c/3 + B*b/3)","A",0
6,1,27,0,0.116802," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**3,x)","A b \log{\left(x \right)} + \frac{B c x^{4}}{4} + x^{2} \left(\frac{A c}{2} + \frac{B b}{2}\right)"," ",0,"A*b*log(x) + B*c*x**4/4 + x**2*(A*c/2 + B*b/2)","A",0
7,1,20,0,0.114753," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**4,x)","- \frac{A b}{x} + \frac{B c x^{3}}{3} + x \left(A c + B b\right)"," ",0,"-A*b/x + B*c*x**3/3 + x*(A*c + B*b)","A",0
8,1,26,0,0.192888," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**5,x)","- \frac{A b}{2 x^{2}} + \frac{B c x^{2}}{2} + \left(A c + B b\right) \log{\left(x \right)}"," ",0,"-A*b/(2*x**2) + B*c*x**2/2 + (A*c + B*b)*log(x)","A",0
9,1,27,0,0.218566," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**6,x)","B c x + \frac{- A b + x^{2} \left(- 3 A c - 3 B b\right)}{3 x^{3}}"," ",0,"B*c*x + (-A*b + x**2*(-3*A*c - 3*B*b))/(3*x**3)","A",0
10,1,29,0,0.374481," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**7,x)","B c \log{\left(x \right)} + \frac{- A b + x^{2} \left(- 2 A c - 2 B b\right)}{4 x^{4}}"," ",0,"B*c*log(x) + (-A*b + x**2*(-2*A*c - 2*B*b))/(4*x**4)","A",0
11,1,32,0,0.387496," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**8,x)","\frac{- 3 A b - 15 B c x^{4} + x^{2} \left(- 5 A c - 5 B b\right)}{15 x^{5}}"," ",0,"(-3*A*b - 15*B*c*x**4 + x**2*(-5*A*c - 5*B*b))/(15*x**5)","A",0
12,1,56,0,0.076290," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2,x)","\frac{A b^{2} x^{5}}{5} + \frac{B c^{2} x^{11}}{11} + x^{9} \left(\frac{A c^{2}}{9} + \frac{2 B b c}{9}\right) + x^{7} \left(\frac{2 A b c}{7} + \frac{B b^{2}}{7}\right)"," ",0,"A*b**2*x**5/5 + B*c**2*x**11/11 + x**9*(A*c**2/9 + 2*B*b*c/9) + x**7*(2*A*b*c/7 + B*b**2/7)","A",0
13,1,53,0,0.080052," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x,x)","\frac{A b^{2} x^{4}}{4} + \frac{B c^{2} x^{10}}{10} + x^{8} \left(\frac{A c^{2}}{8} + \frac{B b c}{4}\right) + x^{6} \left(\frac{A b c}{3} + \frac{B b^{2}}{6}\right)"," ",0,"A*b**2*x**4/4 + B*c**2*x**10/10 + x**8*(A*c**2/8 + B*b*c/4) + x**6*(A*b*c/3 + B*b**2/6)","A",0
14,1,56,0,0.080003," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**2,x)","\frac{A b^{2} x^{3}}{3} + \frac{B c^{2} x^{9}}{9} + x^{7} \left(\frac{A c^{2}}{7} + \frac{2 B b c}{7}\right) + x^{5} \left(\frac{2 A b c}{5} + \frac{B b^{2}}{5}\right)"," ",0,"A*b**2*x**3/3 + B*c**2*x**9/9 + x**7*(A*c**2/7 + 2*B*b*c/7) + x**5*(2*A*b*c/5 + B*b**2/5)","A",0
15,1,53,0,0.081743," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**3,x)","\frac{A b^{2} x^{2}}{2} + \frac{B c^{2} x^{8}}{8} + x^{6} \left(\frac{A c^{2}}{6} + \frac{B b c}{3}\right) + x^{4} \left(\frac{A b c}{2} + \frac{B b^{2}}{4}\right)"," ",0,"A*b**2*x**2/2 + B*c**2*x**8/8 + x**6*(A*c**2/6 + B*b*c/3) + x**4*(A*b*c/2 + B*b**2/4)","A",0
16,1,53,0,0.079735," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**4,x)","A b^{2} x + \frac{B c^{2} x^{7}}{7} + x^{5} \left(\frac{A c^{2}}{5} + \frac{2 B b c}{5}\right) + x^{3} \left(\frac{2 A b c}{3} + \frac{B b^{2}}{3}\right)"," ",0,"A*b**2*x + B*c**2*x**7/7 + x**5*(A*c**2/5 + 2*B*b*c/5) + x**3*(2*A*b*c/3 + B*b**2/3)","A",0
17,1,49,0,0.162150," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**5,x)","A b^{2} \log{\left(x \right)} + \frac{B c^{2} x^{6}}{6} + x^{4} \left(\frac{A c^{2}}{4} + \frac{B b c}{2}\right) + x^{2} \left(A b c + \frac{B b^{2}}{2}\right)"," ",0,"A*b**2*log(x) + B*c**2*x**6/6 + x**4*(A*c**2/4 + B*b*c/2) + x**2*(A*b*c + B*b**2/2)","A",0
18,1,48,0,0.143803," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**6,x)","- \frac{A b^{2}}{x} + \frac{B c^{2} x^{5}}{5} + x^{3} \left(\frac{A c^{2}}{3} + \frac{2 B b c}{3}\right) + x \left(2 A b c + B b^{2}\right)"," ",0,"-A*b**2/x + B*c**2*x**5/5 + x**3*(A*c**2/3 + 2*B*b*c/3) + x*(2*A*b*c + B*b**2)","A",0
19,1,48,0,0.235781," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**7,x)","- \frac{A b^{2}}{2 x^{2}} + \frac{B c^{2} x^{4}}{4} + b \left(2 A c + B b\right) \log{\left(x \right)} + x^{2} \left(\frac{A c^{2}}{2} + B b c\right)"," ",0,"-A*b**2/(2*x**2) + B*c**2*x**4/4 + b*(2*A*c + B*b)*log(x) + x**2*(A*c**2/2 + B*b*c)","A",0
20,1,51,0,0.255422," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**8,x)","\frac{B c^{2} x^{3}}{3} + x \left(A c^{2} + 2 B b c\right) + \frac{- A b^{2} + x^{2} \left(- 6 A b c - 3 B b^{2}\right)}{3 x^{3}}"," ",0,"B*c**2*x**3/3 + x*(A*c**2 + 2*B*b*c) + (-A*b**2 + x**2*(-6*A*b*c - 3*B*b**2))/(3*x**3)","A",0
21,1,51,0,0.551443," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**9,x)","\frac{B c^{2} x^{2}}{2} + c \left(A c + 2 B b\right) \log{\left(x \right)} + \frac{- A b^{2} + x^{2} \left(- 4 A b c - 2 B b^{2}\right)}{4 x^{4}}"," ",0,"B*c**2*x**2/2 + c*(A*c + 2*B*b)*log(x) + (-A*b**2 + x**2*(-4*A*b*c - 2*B*b**2))/(4*x**4)","A",0
22,1,54,0,0.609145," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**10,x)","B c^{2} x + \frac{- 3 A b^{2} + x^{4} \left(- 15 A c^{2} - 30 B b c\right) + x^{2} \left(- 10 A b c - 5 B b^{2}\right)}{15 x^{5}}"," ",0,"B*c**2*x + (-3*A*b**2 + x**4*(-15*A*c**2 - 30*B*b*c) + x**2*(-10*A*b*c - 5*B*b**2))/(15*x**5)","A",0
23,1,56,0,0.994968," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**11,x)","B c^{2} \log{\left(x \right)} + \frac{- 2 A b^{2} + x^{4} \left(- 6 A c^{2} - 12 B b c\right) + x^{2} \left(- 6 A b c - 3 B b^{2}\right)}{12 x^{6}}"," ",0,"B*c**2*log(x) + (-2*A*b**2 + x**4*(-6*A*c**2 - 12*B*b*c) + x**2*(-6*A*b*c - 3*B*b**2))/(12*x**6)","A",0
24,1,58,0,1.073719," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**12,x)","\frac{- 15 A b^{2} - 105 B c^{2} x^{6} + x^{4} \left(- 35 A c^{2} - 70 B b c\right) + x^{2} \left(- 42 A b c - 21 B b^{2}\right)}{105 x^{7}}"," ",0,"(-15*A*b**2 - 105*B*c**2*x**6 + x**4*(-35*A*c**2 - 70*B*b*c) + x**2*(-42*A*b*c - 21*B*b**2))/(105*x**7)","A",0
25,1,80,0,0.084899," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**2,x)","\frac{A b^{3} x^{5}}{5} + \frac{B c^{3} x^{13}}{13} + x^{11} \left(\frac{A c^{3}}{11} + \frac{3 B b c^{2}}{11}\right) + x^{9} \left(\frac{A b c^{2}}{3} + \frac{B b^{2} c}{3}\right) + x^{7} \left(\frac{3 A b^{2} c}{7} + \frac{B b^{3}}{7}\right)"," ",0,"A*b**3*x**5/5 + B*c**3*x**13/13 + x**11*(A*c**3/11 + 3*B*b*c**2/11) + x**9*(A*b*c**2/3 + B*b**2*c/3) + x**7*(3*A*b**2*c/7 + B*b**3/7)","A",0
26,1,82,0,0.086246," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**3,x)","\frac{A b^{3} x^{4}}{4} + \frac{B c^{3} x^{12}}{12} + x^{10} \left(\frac{A c^{3}}{10} + \frac{3 B b c^{2}}{10}\right) + x^{8} \left(\frac{3 A b c^{2}}{8} + \frac{3 B b^{2} c}{8}\right) + x^{6} \left(\frac{A b^{2} c}{2} + \frac{B b^{3}}{6}\right)"," ",0,"A*b**3*x**4/4 + B*c**3*x**12/12 + x**10*(A*c**3/10 + 3*B*b*c**2/10) + x**8*(3*A*b*c**2/8 + 3*B*b**2*c/8) + x**6*(A*b**2*c/2 + B*b**3/6)","A",0
27,1,82,0,0.085640," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**4,x)","\frac{A b^{3} x^{3}}{3} + \frac{B c^{3} x^{11}}{11} + x^{9} \left(\frac{A c^{3}}{9} + \frac{B b c^{2}}{3}\right) + x^{7} \left(\frac{3 A b c^{2}}{7} + \frac{3 B b^{2} c}{7}\right) + x^{5} \left(\frac{3 A b^{2} c}{5} + \frac{B b^{3}}{5}\right)"," ",0,"A*b**3*x**3/3 + B*c**3*x**11/11 + x**9*(A*c**3/9 + B*b*c**2/3) + x**7*(3*A*b*c**2/7 + 3*B*b**2*c/7) + x**5*(3*A*b**2*c/5 + B*b**3/5)","A",0
28,1,80,0,0.085265," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**5,x)","\frac{A b^{3} x^{2}}{2} + \frac{B c^{3} x^{10}}{10} + x^{8} \left(\frac{A c^{3}}{8} + \frac{3 B b c^{2}}{8}\right) + x^{6} \left(\frac{A b c^{2}}{2} + \frac{B b^{2} c}{2}\right) + x^{4} \left(\frac{3 A b^{2} c}{4} + \frac{B b^{3}}{4}\right)"," ",0,"A*b**3*x**2/2 + B*c**3*x**10/10 + x**8*(A*c**3/8 + 3*B*b*c**2/8) + x**6*(A*b*c**2/2 + B*b**2*c/2) + x**4*(3*A*b**2*c/4 + B*b**3/4)","B",0
29,1,76,0,0.086801," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**6,x)","A b^{3} x + \frac{B c^{3} x^{9}}{9} + x^{7} \left(\frac{A c^{3}}{7} + \frac{3 B b c^{2}}{7}\right) + x^{5} \left(\frac{3 A b c^{2}}{5} + \frac{3 B b^{2} c}{5}\right) + x^{3} \left(A b^{2} c + \frac{B b^{3}}{3}\right)"," ",0,"A*b**3*x + B*c**3*x**9/9 + x**7*(A*c**3/7 + 3*B*b*c**2/7) + x**5*(3*A*b*c**2/5 + 3*B*b**2*c/5) + x**3*(A*b**2*c + B*b**3/3)","A",0
30,1,80,0,0.179778," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**7,x)","A b^{3} \log{\left(x \right)} + \frac{B c^{3} x^{8}}{8} + x^{6} \left(\frac{A c^{3}}{6} + \frac{B b c^{2}}{2}\right) + x^{4} \left(\frac{3 A b c^{2}}{4} + \frac{3 B b^{2} c}{4}\right) + x^{2} \left(\frac{3 A b^{2} c}{2} + \frac{B b^{3}}{2}\right)"," ",0,"A*b**3*log(x) + B*c**3*x**8/8 + x**6*(A*c**3/6 + B*b*c**2/2) + x**4*(3*A*b*c**2/4 + 3*B*b**2*c/4) + x**2*(3*A*b**2*c/2 + B*b**3/2)","A",0
31,1,68,0,0.170954," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**8,x)","- \frac{A b^{3}}{x} + \frac{B c^{3} x^{7}}{7} + x^{5} \left(\frac{A c^{3}}{5} + \frac{3 B b c^{2}}{5}\right) + x^{3} \left(A b c^{2} + B b^{2} c\right) + x \left(3 A b^{2} c + B b^{3}\right)"," ",0,"-A*b**3/x + B*c**3*x**7/7 + x**5*(A*c**3/5 + 3*B*b*c**2/5) + x**3*(A*b*c**2 + B*b**2*c) + x*(3*A*b**2*c + B*b**3)","A",0
32,1,78,0,0.265474," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**9,x)","- \frac{A b^{3}}{2 x^{2}} + \frac{B c^{3} x^{6}}{6} + b^{2} \left(3 A c + B b\right) \log{\left(x \right)} + x^{4} \left(\frac{A c^{3}}{4} + \frac{3 B b c^{2}}{4}\right) + x^{2} \left(\frac{3 A b c^{2}}{2} + \frac{3 B b^{2} c}{2}\right)"," ",0,"-A*b**3/(2*x**2) + B*c**3*x**6/6 + b**2*(3*A*c + B*b)*log(x) + x**4*(A*c**3/4 + 3*B*b*c**2/4) + x**2*(3*A*b*c**2/2 + 3*B*b**2*c/2)","A",0
33,1,75,0,0.290737," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**10,x)","\frac{B c^{3} x^{5}}{5} + x^{3} \left(\frac{A c^{3}}{3} + B b c^{2}\right) + x \left(3 A b c^{2} + 3 B b^{2} c\right) + \frac{- A b^{3} + x^{2} \left(- 9 A b^{2} c - 3 B b^{3}\right)}{3 x^{3}}"," ",0,"B*c**3*x**5/5 + x**3*(A*c**3/3 + B*b*c**2) + x*(3*A*b*c**2 + 3*B*b**2*c) + (-A*b**3 + x**2*(-9*A*b**2*c - 3*B*b**3))/(3*x**3)","A",0
34,1,75,0,0.588589," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**11,x)","\frac{B c^{3} x^{4}}{4} + 3 b c \left(A c + B b\right) \log{\left(x \right)} + x^{2} \left(\frac{A c^{3}}{2} + \frac{3 B b c^{2}}{2}\right) + \frac{- A b^{3} + x^{2} \left(- 6 A b^{2} c - 2 B b^{3}\right)}{4 x^{4}}"," ",0,"B*c**3*x**4/4 + 3*b*c*(A*c + B*b)*log(x) + x**2*(A*c**3/2 + 3*B*b*c**2/2) + (-A*b**3 + x**2*(-6*A*b**2*c - 2*B*b**3))/(4*x**4)","A",0
35,1,78,0,0.675833," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**12,x)","\frac{B c^{3} x^{3}}{3} + x \left(A c^{3} + 3 B b c^{2}\right) + \frac{- 3 A b^{3} + x^{4} \left(- 45 A b c^{2} - 45 B b^{2} c\right) + x^{2} \left(- 15 A b^{2} c - 5 B b^{3}\right)}{15 x^{5}}"," ",0,"B*c**3*x**3/3 + x*(A*c**3 + 3*B*b*c**2) + (-3*A*b**3 + x**4*(-45*A*b*c**2 - 45*B*b**2*c) + x**2*(-15*A*b**2*c - 5*B*b**3))/(15*x**5)","A",0
36,1,78,0,1.294381," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**13,x)","\frac{B c^{3} x^{2}}{2} + c^{2} \left(A c + 3 B b\right) \log{\left(x \right)} + \frac{- 2 A b^{3} + x^{4} \left(- 18 A b c^{2} - 18 B b^{2} c\right) + x^{2} \left(- 9 A b^{2} c - 3 B b^{3}\right)}{12 x^{6}}"," ",0,"B*c**3*x**2/2 + c**2*(A*c + 3*B*b)*log(x) + (-2*A*b**3 + x**4*(-18*A*b*c**2 - 18*B*b**2*c) + x**2*(-9*A*b**2*c - 3*B*b**3))/(12*x**6)","A",0
37,1,80,0,1.497237," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**14,x)","B c^{3} x + \frac{- 5 A b^{3} + x^{6} \left(- 35 A c^{3} - 105 B b c^{2}\right) + x^{4} \left(- 35 A b c^{2} - 35 B b^{2} c\right) + x^{2} \left(- 21 A b^{2} c - 7 B b^{3}\right)}{35 x^{7}}"," ",0,"B*c**3*x + (-5*A*b**3 + x**6*(-35*A*c**3 - 105*B*b*c**2) + x**4*(-35*A*b*c**2 - 35*B*b**2*c) + x**2*(-21*A*b**2*c - 7*B*b**3))/(35*x**7)","A",0
38,1,82,0,2.366938," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**15,x)","B c^{3} \log{\left(x \right)} + \frac{- 3 A b^{3} + x^{6} \left(- 12 A c^{3} - 36 B b c^{2}\right) + x^{4} \left(- 18 A b c^{2} - 18 B b^{2} c\right) + x^{2} \left(- 12 A b^{2} c - 4 B b^{3}\right)}{24 x^{8}}"," ",0,"B*c**3*log(x) + (-3*A*b**3 + x**6*(-12*A*c**3 - 36*B*b*c**2) + x**4*(-18*A*b*c**2 - 18*B*b**2*c) + x**2*(-12*A*b**2*c - 4*B*b**3))/(24*x**8)","A",0
39,1,83,0,2.445516," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**16,x)","\frac{- 35 A b^{3} - 315 B c^{3} x^{8} + x^{6} \left(- 105 A c^{3} - 315 B b c^{2}\right) + x^{4} \left(- 189 A b c^{2} - 189 B b^{2} c\right) + x^{2} \left(- 135 A b^{2} c - 45 B b^{3}\right)}{315 x^{9}}"," ",0,"(-35*A*b**3 - 315*B*c**3*x**8 + x**6*(-105*A*c**3 - 315*B*b*c**2) + x**4*(-189*A*b*c**2 - 189*B*b**2*c) + x**2*(-135*A*b**2*c - 45*B*b**3))/(315*x**9)","A",0
40,1,83,0,3.426219," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**17,x)","\frac{- 4 A b^{3} - 20 B c^{3} x^{8} + x^{6} \left(- 10 A c^{3} - 30 B b c^{2}\right) + x^{4} \left(- 20 A b c^{2} - 20 B b^{2} c\right) + x^{2} \left(- 15 A b^{2} c - 5 B b^{3}\right)}{40 x^{10}}"," ",0,"(-4*A*b**3 - 20*B*c**3*x**8 + x**6*(-10*A*c**3 - 30*B*b*c**2) + x**4*(-20*A*b*c**2 - 20*B*b**2*c) + x**2*(-15*A*b**2*c - 5*B*b**3))/(40*x**10)","A",0
41,1,204,0,0.443763," ","integrate(x**10*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{9}}{9 c} + x^{7} \left(\frac{A}{7 c} - \frac{B b}{7 c^{2}}\right) + x^{5} \left(- \frac{A b}{5 c^{2}} + \frac{B b^{2}}{5 c^{3}}\right) + x^{3} \left(\frac{A b^{2}}{3 c^{3}} - \frac{B b^{3}}{3 c^{4}}\right) + x \left(- \frac{A b^{3}}{c^{4}} + \frac{B b^{4}}{c^{5}}\right) + \frac{\sqrt{- \frac{b^{7}}{c^{11}}} \left(- A c + B b\right) \log{\left(- \frac{c^{5} \sqrt{- \frac{b^{7}}{c^{11}}} \left(- A c + B b\right)}{- A b^{3} c + B b^{4}} + x \right)}}{2} - \frac{\sqrt{- \frac{b^{7}}{c^{11}}} \left(- A c + B b\right) \log{\left(\frac{c^{5} \sqrt{- \frac{b^{7}}{c^{11}}} \left(- A c + B b\right)}{- A b^{3} c + B b^{4}} + x \right)}}{2}"," ",0,"B*x**9/(9*c) + x**7*(A/(7*c) - B*b/(7*c**2)) + x**5*(-A*b/(5*c**2) + B*b**2/(5*c**3)) + x**3*(A*b**2/(3*c**3) - B*b**3/(3*c**4)) + x*(-A*b**3/c**4 + B*b**4/c**5) + sqrt(-b**7/c**11)*(-A*c + B*b)*log(-c**5*sqrt(-b**7/c**11)*(-A*c + B*b)/(-A*b**3*c + B*b**4) + x)/2 - sqrt(-b**7/c**11)*(-A*c + B*b)*log(c**5*sqrt(-b**7/c**11)*(-A*c + B*b)/(-A*b**3*c + B*b**4) + x)/2","A",0
42,1,94,0,0.352254," ","integrate(x**9*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{8}}{8 c} + \frac{b^{3} \left(- A c + B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{5}} + x^{6} \left(\frac{A}{6 c} - \frac{B b}{6 c^{2}}\right) + x^{4} \left(- \frac{A b}{4 c^{2}} + \frac{B b^{2}}{4 c^{3}}\right) + x^{2} \left(\frac{A b^{2}}{2 c^{3}} - \frac{B b^{3}}{2 c^{4}}\right)"," ",0,"B*x**8/(8*c) + b**3*(-A*c + B*b)*log(b + c*x**2)/(2*c**5) + x**6*(A/(6*c) - B*b/(6*c**2)) + x**4*(-A*b/(4*c**2) + B*b**2/(4*c**3)) + x**2*(A*b**2/(2*c**3) - B*b**3/(2*c**4))","A",0
43,1,180,0,0.408042," ","integrate(x**8*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{7}}{7 c} + x^{5} \left(\frac{A}{5 c} - \frac{B b}{5 c^{2}}\right) + x^{3} \left(- \frac{A b}{3 c^{2}} + \frac{B b^{2}}{3 c^{3}}\right) + x \left(\frac{A b^{2}}{c^{3}} - \frac{B b^{3}}{c^{4}}\right) - \frac{\sqrt{- \frac{b^{5}}{c^{9}}} \left(- A c + B b\right) \log{\left(- \frac{c^{4} \sqrt{- \frac{b^{5}}{c^{9}}} \left(- A c + B b\right)}{- A b^{2} c + B b^{3}} + x \right)}}{2} + \frac{\sqrt{- \frac{b^{5}}{c^{9}}} \left(- A c + B b\right) \log{\left(\frac{c^{4} \sqrt{- \frac{b^{5}}{c^{9}}} \left(- A c + B b\right)}{- A b^{2} c + B b^{3}} + x \right)}}{2}"," ",0,"B*x**7/(7*c) + x**5*(A/(5*c) - B*b/(5*c**2)) + x**3*(-A*b/(3*c**2) + B*b**2/(3*c**3)) + x*(A*b**2/c**3 - B*b**3/c**4) - sqrt(-b**5/c**9)*(-A*c + B*b)*log(-c**4*sqrt(-b**5/c**9)*(-A*c + B*b)/(-A*b**2*c + B*b**3) + x)/2 + sqrt(-b**5/c**9)*(-A*c + B*b)*log(c**4*sqrt(-b**5/c**9)*(-A*c + B*b)/(-A*b**2*c + B*b**3) + x)/2","B",0
44,1,70,0,0.318976," ","integrate(x**7*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{6}}{6 c} - \frac{b^{2} \left(- A c + B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{4}} + x^{4} \left(\frac{A}{4 c} - \frac{B b}{4 c^{2}}\right) + x^{2} \left(- \frac{A b}{2 c^{2}} + \frac{B b^{2}}{2 c^{3}}\right)"," ",0,"B*x**6/(6*c) - b**2*(-A*c + B*b)*log(b + c*x**2)/(2*c**4) + x**4*(A/(4*c) - B*b/(4*c**2)) + x**2*(-A*b/(2*c**2) + B*b**2/(2*c**3))","A",0
45,1,153,0,0.371681," ","integrate(x**6*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{5}}{5 c} + x^{3} \left(\frac{A}{3 c} - \frac{B b}{3 c^{2}}\right) + x \left(- \frac{A b}{c^{2}} + \frac{B b^{2}}{c^{3}}\right) + \frac{\sqrt{- \frac{b^{3}}{c^{7}}} \left(- A c + B b\right) \log{\left(- \frac{c^{3} \sqrt{- \frac{b^{3}}{c^{7}}} \left(- A c + B b\right)}{- A b c + B b^{2}} + x \right)}}{2} - \frac{\sqrt{- \frac{b^{3}}{c^{7}}} \left(- A c + B b\right) \log{\left(\frac{c^{3} \sqrt{- \frac{b^{3}}{c^{7}}} \left(- A c + B b\right)}{- A b c + B b^{2}} + x \right)}}{2}"," ",0,"B*x**5/(5*c) + x**3*(A/(3*c) - B*b/(3*c**2)) + x*(-A*b/c**2 + B*b**2/c**3) + sqrt(-b**3/c**7)*(-A*c + B*b)*log(-c**3*sqrt(-b**3/c**7)*(-A*c + B*b)/(-A*b*c + B*b**2) + x)/2 - sqrt(-b**3/c**7)*(-A*c + B*b)*log(c**3*sqrt(-b**3/c**7)*(-A*c + B*b)/(-A*b*c + B*b**2) + x)/2","B",0
46,1,46,0,0.285706," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{4}}{4 c} + \frac{b \left(- A c + B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{3}} + x^{2} \left(\frac{A}{2 c} - \frac{B b}{2 c^{2}}\right)"," ",0,"B*x**4/(4*c) + b*(-A*c + B*b)*log(b + c*x**2)/(2*c**3) + x**2*(A/(2*c) - B*b/(2*c**2))","A",0
47,1,90,0,0.336890," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{3}}{3 c} + x \left(\frac{A}{c} - \frac{B b}{c^{2}}\right) - \frac{\sqrt{- \frac{b}{c^{5}}} \left(- A c + B b\right) \log{\left(- c^{2} \sqrt{- \frac{b}{c^{5}}} + x \right)}}{2} + \frac{\sqrt{- \frac{b}{c^{5}}} \left(- A c + B b\right) \log{\left(c^{2} \sqrt{- \frac{b}{c^{5}}} + x \right)}}{2}"," ",0,"B*x**3/(3*c) + x*(A/c - B*b/c**2) - sqrt(-b/c**5)*(-A*c + B*b)*log(-c**2*sqrt(-b/c**5) + x)/2 + sqrt(-b/c**5)*(-A*c + B*b)*log(c**2*sqrt(-b/c**5) + x)/2","A",0
48,1,27,0,0.249783," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x^{2}}{2 c} - \frac{\left(- A c + B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{2}}"," ",0,"B*x**2/(2*c) - (-A*c + B*b)*log(b + c*x**2)/(2*c**2)","A",0
49,1,82,0,0.288025," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{B x}{c} + \frac{\sqrt{- \frac{1}{b c^{3}}} \left(- A c + B b\right) \log{\left(- b c \sqrt{- \frac{1}{b c^{3}}} + x \right)}}{2} - \frac{\sqrt{- \frac{1}{b c^{3}}} \left(- A c + B b\right) \log{\left(b c \sqrt{- \frac{1}{b c^{3}}} + x \right)}}{2}"," ",0,"B*x/c + sqrt(-1/(b*c**3))*(-A*c + B*b)*log(-b*c*sqrt(-1/(b*c**3)) + x)/2 - sqrt(-1/(b*c**3))*(-A*c + B*b)*log(b*c*sqrt(-1/(b*c**3)) + x)/2","B",0
50,1,26,0,0.754923," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2),x)","\frac{A \log{\left(x \right)}}{b} + \frac{\left(- A c + B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b c}"," ",0,"A*log(x)/b + (-A*c + B*b)*log(b/c + x**2)/(2*b*c)","A",0
51,1,82,0,0.422742," ","integrate((B*x**2+A)/(c*x**4+b*x**2),x)","- \frac{A}{b x} - \frac{\sqrt{- \frac{1}{b^{3} c}} \left(- A c + B b\right) \log{\left(- b^{2} \sqrt{- \frac{1}{b^{3} c}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{b^{3} c}} \left(- A c + B b\right) \log{\left(b^{2} \sqrt{- \frac{1}{b^{3} c}} + x \right)}}{2}"," ",0,"-A/(b*x) - sqrt(-1/(b**3*c))*(-A*c + B*b)*log(-b**2*sqrt(-1/(b**3*c)) + x)/2 + sqrt(-1/(b**3*c))*(-A*c + B*b)*log(b**2*sqrt(-1/(b**3*c)) + x)/2","B",0
52,1,75,0,0.442802," ","integrate((B*x**2+A)/(-c*x**4+b*x**2),x)","- \frac{A}{b x} - \frac{\sqrt{\frac{1}{b^{3} c}} \left(A c + B b\right) \log{\left(- b^{2} \sqrt{\frac{1}{b^{3} c}} + x \right)}}{2} + \frac{\sqrt{\frac{1}{b^{3} c}} \left(A c + B b\right) \log{\left(b^{2} \sqrt{\frac{1}{b^{3} c}} + x \right)}}{2}"," ",0,"-A/(b*x) - sqrt(1/(b**3*c))*(A*c + B*b)*log(-b**2*sqrt(1/(b**3*c)) + x)/2 + sqrt(1/(b**3*c))*(A*c + B*b)*log(b**2*sqrt(1/(b**3*c)) + x)/2","B",0
53,1,41,0,0.756367," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2),x)","- \frac{A}{2 b x^{2}} + \frac{\left(- A c + B b\right) \log{\left(x \right)}}{b^{2}} - \frac{\left(- A c + B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{2}}"," ",0,"-A/(2*b*x**2) + (-A*c + B*b)*log(x)/b**2 - (-A*c + B*b)*log(b/c + x**2)/(2*b**2)","A",0
54,1,129,0,0.436512," ","integrate((B*x**2+A)/x**2/(c*x**4+b*x**2),x)","\frac{\sqrt{- \frac{c}{b^{5}}} \left(- A c + B b\right) \log{\left(- \frac{b^{3} \sqrt{- \frac{c}{b^{5}}} \left(- A c + B b\right)}{- A c^{2} + B b c} + x \right)}}{2} - \frac{\sqrt{- \frac{c}{b^{5}}} \left(- A c + B b\right) \log{\left(\frac{b^{3} \sqrt{- \frac{c}{b^{5}}} \left(- A c + B b\right)}{- A c^{2} + B b c} + x \right)}}{2} + \frac{- A b + x^{2} \left(3 A c - 3 B b\right)}{3 b^{2} x^{3}}"," ",0,"sqrt(-c/b**5)*(-A*c + B*b)*log(-b**3*sqrt(-c/b**5)*(-A*c + B*b)/(-A*c**2 + B*b*c) + x)/2 - sqrt(-c/b**5)*(-A*c + B*b)*log(b**3*sqrt(-c/b**5)*(-A*c + B*b)/(-A*c**2 + B*b*c) + x)/2 + (-A*b + x**2*(3*A*c - 3*B*b))/(3*b**2*x**3)","B",0
55,1,61,0,0.918484," ","integrate((B*x**2+A)/x**3/(c*x**4+b*x**2),x)","\frac{- A b + x^{2} \left(2 A c - 2 B b\right)}{4 b^{2} x^{4}} - \frac{c \left(- A c + B b\right) \log{\left(x \right)}}{b^{3}} + \frac{c \left(- A c + B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{3}}"," ",0,"(-A*b + x**2*(2*A*c - 2*B*b))/(4*b**2*x**4) - c*(-A*c + B*b)*log(x)/b**3 + c*(-A*c + B*b)*log(b/c + x**2)/(2*b**3)","A",0
56,1,163,0,0.583454," ","integrate((B*x**2+A)/x**4/(c*x**4+b*x**2),x)","- \frac{\sqrt{- \frac{c^{3}}{b^{7}}} \left(- A c + B b\right) \log{\left(- \frac{b^{4} \sqrt{- \frac{c^{3}}{b^{7}}} \left(- A c + B b\right)}{- A c^{3} + B b c^{2}} + x \right)}}{2} + \frac{\sqrt{- \frac{c^{3}}{b^{7}}} \left(- A c + B b\right) \log{\left(\frac{b^{4} \sqrt{- \frac{c^{3}}{b^{7}}} \left(- A c + B b\right)}{- A c^{3} + B b c^{2}} + x \right)}}{2} + \frac{- 3 A b^{2} + x^{4} \left(- 15 A c^{2} + 15 B b c\right) + x^{2} \left(5 A b c - 5 B b^{2}\right)}{15 b^{3} x^{5}}"," ",0,"-sqrt(-c**3/b**7)*(-A*c + B*b)*log(-b**4*sqrt(-c**3/b**7)*(-A*c + B*b)/(-A*c**3 + B*b*c**2) + x)/2 + sqrt(-c**3/b**7)*(-A*c + B*b)*log(b**4*sqrt(-c**3/b**7)*(-A*c + B*b)/(-A*c**3 + B*b*c**2) + x)/2 + (-3*A*b**2 + x**4*(-15*A*c**2 + 15*B*b*c) + x**2*(5*A*b*c - 5*B*b**2))/(15*b**3*x**5)","B",0
57,1,88,0,1.412072," ","integrate((B*x**2+A)/x**5/(c*x**4+b*x**2),x)","\frac{- 2 A b^{2} + x^{4} \left(- 6 A c^{2} + 6 B b c\right) + x^{2} \left(3 A b c - 3 B b^{2}\right)}{12 b^{3} x^{6}} + \frac{c^{2} \left(- A c + B b\right) \log{\left(x \right)}}{b^{4}} - \frac{c^{2} \left(- A c + B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{4}}"," ",0,"(-2*A*b**2 + x**4*(-6*A*c**2 + 6*B*b*c) + x**2*(3*A*b*c - 3*B*b**2))/(12*b**3*x**6) + c**2*(-A*c + B*b)*log(x)/b**4 - c**2*(-A*c + B*b)*log(b/c + x**2)/(2*b**4)","A",0
58,1,238,0,1.012400," ","integrate(x**12*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B x^{7}}{7 c^{2}} + x^{5} \left(\frac{A}{5 c^{2}} - \frac{2 B b}{5 c^{3}}\right) + x^{3} \left(- \frac{2 A b}{3 c^{3}} + \frac{B b^{2}}{c^{4}}\right) + x \left(\frac{3 A b^{2}}{c^{4}} - \frac{4 B b^{3}}{c^{5}}\right) + \frac{x \left(A b^{3} c - B b^{4}\right)}{2 b c^{5} + 2 c^{6} x^{2}} - \frac{\sqrt{- \frac{b^{5}}{c^{11}}} \left(- 7 A c + 9 B b\right) \log{\left(- \frac{c^{5} \sqrt{- \frac{b^{5}}{c^{11}}} \left(- 7 A c + 9 B b\right)}{- 7 A b^{2} c + 9 B b^{3}} + x \right)}}{4} + \frac{\sqrt{- \frac{b^{5}}{c^{11}}} \left(- 7 A c + 9 B b\right) \log{\left(\frac{c^{5} \sqrt{- \frac{b^{5}}{c^{11}}} \left(- 7 A c + 9 B b\right)}{- 7 A b^{2} c + 9 B b^{3}} + x \right)}}{4}"," ",0,"B*x**7/(7*c**2) + x**5*(A/(5*c**2) - 2*B*b/(5*c**3)) + x**3*(-2*A*b/(3*c**3) + B*b**2/c**4) + x*(3*A*b**2/c**4 - 4*B*b**3/c**5) + x*(A*b**3*c - B*b**4)/(2*b*c**5 + 2*c**6*x**2) - sqrt(-b**5/c**11)*(-7*A*c + 9*B*b)*log(-c**5*sqrt(-b**5/c**11)*(-7*A*c + 9*B*b)/(-7*A*b**2*c + 9*B*b**3) + x)/4 + sqrt(-b**5/c**11)*(-7*A*c + 9*B*b)*log(c**5*sqrt(-b**5/c**11)*(-7*A*c + 9*B*b)/(-7*A*b**2*c + 9*B*b**3) + x)/4","A",0
59,1,104,0,0.930064," ","integrate(x**11*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B x^{6}}{6 c^{2}} - \frac{b^{2} \left(- 3 A c + 4 B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{5}} + x^{4} \left(\frac{A}{4 c^{2}} - \frac{B b}{2 c^{3}}\right) + x^{2} \left(- \frac{A b}{c^{3}} + \frac{3 B b^{2}}{2 c^{4}}\right) + \frac{A b^{3} c - B b^{4}}{2 b c^{5} + 2 c^{6} x^{2}}"," ",0,"B*x**6/(6*c**2) - b**2*(-3*A*c + 4*B*b)*log(b + c*x**2)/(2*c**5) + x**4*(A/(4*c**2) - B*b/(2*c**3)) + x**2*(-A*b/c**3 + 3*B*b**2/(2*c**4)) + (A*b**3*c - B*b**4)/(2*b*c**5 + 2*c**6*x**2)","A",0
60,1,211,0,0.761367," ","integrate(x**10*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B x^{5}}{5 c^{2}} + x^{3} \left(\frac{A}{3 c^{2}} - \frac{2 B b}{3 c^{3}}\right) + x \left(- \frac{2 A b}{c^{3}} + \frac{3 B b^{2}}{c^{4}}\right) + \frac{x \left(- A b^{2} c + B b^{3}\right)}{2 b c^{4} + 2 c^{5} x^{2}} + \frac{\sqrt{- \frac{b^{3}}{c^{9}}} \left(- 5 A c + 7 B b\right) \log{\left(- \frac{c^{4} \sqrt{- \frac{b^{3}}{c^{9}}} \left(- 5 A c + 7 B b\right)}{- 5 A b c + 7 B b^{2}} + x \right)}}{4} - \frac{\sqrt{- \frac{b^{3}}{c^{9}}} \left(- 5 A c + 7 B b\right) \log{\left(\frac{c^{4} \sqrt{- \frac{b^{3}}{c^{9}}} \left(- 5 A c + 7 B b\right)}{- 5 A b c + 7 B b^{2}} + x \right)}}{4}"," ",0,"B*x**5/(5*c**2) + x**3*(A/(3*c**2) - 2*B*b/(3*c**3)) + x*(-2*A*b/c**3 + 3*B*b**2/c**4) + x*(-A*b**2*c + B*b**3)/(2*b*c**4 + 2*c**5*x**2) + sqrt(-b**3/c**9)*(-5*A*c + 7*B*b)*log(-c**4*sqrt(-b**3/c**9)*(-5*A*c + 7*B*b)/(-5*A*b*c + 7*B*b**2) + x)/4 - sqrt(-b**3/c**9)*(-5*A*c + 7*B*b)*log(c**4*sqrt(-b**3/c**9)*(-5*A*c + 7*B*b)/(-5*A*b*c + 7*B*b**2) + x)/4","B",0
61,1,78,0,0.702801," ","integrate(x**9*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B x^{4}}{4 c^{2}} + \frac{b \left(- 2 A c + 3 B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{4}} + x^{2} \left(\frac{A}{2 c^{2}} - \frac{B b}{c^{3}}\right) + \frac{- A b^{2} c + B b^{3}}{2 b c^{4} + 2 c^{5} x^{2}}"," ",0,"B*x**4/(4*c**2) + b*(-2*A*c + 3*B*b)*log(b + c*x**2)/(2*c**4) + x**2*(A/(2*c**2) - B*b/c**3) + (-A*b**2*c + B*b**3)/(2*b*c**4 + 2*c**5*x**2)","A",0
62,1,129,0,0.688565," ","integrate(x**8*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B x^{3}}{3 c^{2}} + x \left(\frac{A}{c^{2}} - \frac{2 B b}{c^{3}}\right) + \frac{x \left(A b c - B b^{2}\right)}{2 b c^{3} + 2 c^{4} x^{2}} - \frac{\sqrt{- \frac{b}{c^{7}}} \left(- 3 A c + 5 B b\right) \log{\left(- c^{3} \sqrt{- \frac{b}{c^{7}}} + x \right)}}{4} + \frac{\sqrt{- \frac{b}{c^{7}}} \left(- 3 A c + 5 B b\right) \log{\left(c^{3} \sqrt{- \frac{b}{c^{7}}} + x \right)}}{4}"," ",0,"B*x**3/(3*c**2) + x*(A/c**2 - 2*B*b/c**3) + x*(A*b*c - B*b**2)/(2*b*c**3 + 2*c**4*x**2) - sqrt(-b/c**7)*(-3*A*c + 5*B*b)*log(-c**3*sqrt(-b/c**7) + x)/4 + sqrt(-b/c**7)*(-3*A*c + 5*B*b)*log(c**3*sqrt(-b/c**7) + x)/4","A",0
63,1,56,0,0.599735," ","integrate(x**7*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B x^{2}}{2 c^{2}} + \frac{A b c - B b^{2}}{2 b c^{3} + 2 c^{4} x^{2}} - \frac{\left(- A c + 2 B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{3}}"," ",0,"B*x**2/(2*c**2) + (A*b*c - B*b**2)/(2*b*c**3 + 2*c**4*x**2) - (-A*c + 2*B*b)*log(b + c*x**2)/(2*c**3)","A",0
64,1,114,0,0.552636," ","integrate(x**6*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B x}{c^{2}} + \frac{x \left(- A c + B b\right)}{2 b c^{2} + 2 c^{3} x^{2}} + \frac{\sqrt{- \frac{1}{b c^{5}}} \left(- A c + 3 B b\right) \log{\left(- b c^{2} \sqrt{- \frac{1}{b c^{5}}} + x \right)}}{4} - \frac{\sqrt{- \frac{1}{b c^{5}}} \left(- A c + 3 B b\right) \log{\left(b c^{2} \sqrt{- \frac{1}{b c^{5}}} + x \right)}}{4}"," ",0,"B*x/c**2 + x*(-A*c + B*b)/(2*b*c**2 + 2*c**3*x**2) + sqrt(-1/(b*c**5))*(-A*c + 3*B*b)*log(-b*c**2*sqrt(-1/(b*c**5)) + x)/4 - sqrt(-1/(b*c**5))*(-A*c + 3*B*b)*log(b*c**2*sqrt(-1/(b*c**5)) + x)/4","A",0
65,1,36,0,0.373530," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{B \log{\left(b + c x^{2} \right)}}{2 c^{2}} + \frac{- A c + B b}{2 b c^{2} + 2 c^{3} x^{2}}"," ",0,"B*log(b + c*x**2)/(2*c**2) + (-A*c + B*b)/(2*b*c**2 + 2*c**3*x**2)","A",0
66,1,112,0,0.417361," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{x \left(A c - B b\right)}{2 b^{2} c + 2 b c^{2} x^{2}} - \frac{\sqrt{- \frac{1}{b^{3} c^{3}}} \left(A c + B b\right) \log{\left(- b^{2} c \sqrt{- \frac{1}{b^{3} c^{3}}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{b^{3} c^{3}}} \left(A c + B b\right) \log{\left(b^{2} c \sqrt{- \frac{1}{b^{3} c^{3}}} + x \right)}}{4}"," ",0,"x*(A*c - B*b)/(2*b**2*c + 2*b*c**2*x**2) - sqrt(-1/(b**3*c**3))*(A*c + B*b)*log(-b**2*c*sqrt(-1/(b**3*c**3)) + x)/4 + sqrt(-1/(b**3*c**3))*(A*c + B*b)*log(b**2*c*sqrt(-1/(b**3*c**3)) + x)/4","B",0
67,1,46,0,0.441170," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{A \log{\left(x \right)}}{b^{2}} - \frac{A \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{2}} + \frac{A c - B b}{2 b^{2} c + 2 b c^{2} x^{2}}"," ",0,"A*log(x)/b**2 - A*log(b/c + x**2)/(2*b**2) + (A*c - B*b)/(2*b**2*c + 2*b*c**2*x**2)","A",0
68,1,114,0,0.506148," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","- \frac{\sqrt{- \frac{1}{b^{5} c}} \left(- 3 A c + B b\right) \log{\left(- b^{3} \sqrt{- \frac{1}{b^{5} c}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{b^{5} c}} \left(- 3 A c + B b\right) \log{\left(b^{3} \sqrt{- \frac{1}{b^{5} c}} + x \right)}}{4} + \frac{- 2 A b + x^{2} \left(- 3 A c + B b\right)}{2 b^{3} x + 2 b^{2} c x^{3}}"," ",0,"-sqrt(-1/(b**5*c))*(-3*A*c + B*b)*log(-b**3*sqrt(-1/(b**5*c)) + x)/4 + sqrt(-1/(b**5*c))*(-3*A*c + B*b)*log(b**3*sqrt(-1/(b**5*c)) + x)/4 + (-2*A*b + x**2*(-3*A*c + B*b))/(2*b**3*x + 2*b**2*c*x**3)","A",0
69,1,70,0,0.880066," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{- A b + x^{2} \left(- 2 A c + B b\right)}{2 b^{3} x^{2} + 2 b^{2} c x^{4}} + \frac{\left(- 2 A c + B b\right) \log{\left(x \right)}}{b^{3}} - \frac{\left(- 2 A c + B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{3}}"," ",0,"(-A*b + x**2*(-2*A*c + B*b))/(2*b**3*x**2 + 2*b**2*c*x**4) + (-2*A*c + B*b)*log(x)/b**3 - (-2*A*c + B*b)*log(b/c + x**2)/(2*b**3)","A",0
70,1,184,0,0.603443," ","integrate((B*x**2+A)/(c*x**4+b*x**2)**2,x)","\frac{\sqrt{- \frac{c}{b^{7}}} \left(- 5 A c + 3 B b\right) \log{\left(- \frac{b^{4} \sqrt{- \frac{c}{b^{7}}} \left(- 5 A c + 3 B b\right)}{- 5 A c^{2} + 3 B b c} + x \right)}}{4} - \frac{\sqrt{- \frac{c}{b^{7}}} \left(- 5 A c + 3 B b\right) \log{\left(\frac{b^{4} \sqrt{- \frac{c}{b^{7}}} \left(- 5 A c + 3 B b\right)}{- 5 A c^{2} + 3 B b c} + x \right)}}{4} + \frac{- 2 A b^{2} + x^{4} \left(15 A c^{2} - 9 B b c\right) + x^{2} \left(10 A b c - 6 B b^{2}\right)}{6 b^{4} x^{3} + 6 b^{3} c x^{5}}"," ",0,"sqrt(-c/b**7)*(-5*A*c + 3*B*b)*log(-b**4*sqrt(-c/b**7)*(-5*A*c + 3*B*b)/(-5*A*c**2 + 3*B*b*c) + x)/4 - sqrt(-c/b**7)*(-5*A*c + 3*B*b)*log(b**4*sqrt(-c/b**7)*(-5*A*c + 3*B*b)/(-5*A*c**2 + 3*B*b*c) + x)/4 + (-2*A*b**2 + x**4*(15*A*c**2 - 9*B*b*c) + x**2*(10*A*b*c - 6*B*b**2))/(6*b**4*x**3 + 6*b**3*c*x**5)","B",0
71,1,100,0,1.039723," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2)**2,x)","\frac{- A b^{2} + x^{4} \left(6 A c^{2} - 4 B b c\right) + x^{2} \left(3 A b c - 2 B b^{2}\right)}{4 b^{4} x^{4} + 4 b^{3} c x^{6}} - \frac{c \left(- 3 A c + 2 B b\right) \log{\left(x \right)}}{b^{4}} + \frac{c \left(- 3 A c + 2 B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{4}}"," ",0,"(-A*b**2 + x**4*(6*A*c**2 - 4*B*b*c) + x**2*(3*A*b*c - 2*B*b**2))/(4*b**4*x**4 + 4*b**3*c*x**6) - c*(-3*A*c + 2*B*b)*log(x)/b**4 + c*(-3*A*c + 2*B*b)*log(b/c + x**2)/(2*b**4)","A",0
72,1,218,0,0.698954," ","integrate((B*x**2+A)/x**2/(c*x**4+b*x**2)**2,x)","- \frac{\sqrt{- \frac{c^{3}}{b^{9}}} \left(- 7 A c + 5 B b\right) \log{\left(- \frac{b^{5} \sqrt{- \frac{c^{3}}{b^{9}}} \left(- 7 A c + 5 B b\right)}{- 7 A c^{3} + 5 B b c^{2}} + x \right)}}{4} + \frac{\sqrt{- \frac{c^{3}}{b^{9}}} \left(- 7 A c + 5 B b\right) \log{\left(\frac{b^{5} \sqrt{- \frac{c^{3}}{b^{9}}} \left(- 7 A c + 5 B b\right)}{- 7 A c^{3} + 5 B b c^{2}} + x \right)}}{4} + \frac{- 6 A b^{3} + x^{6} \left(- 105 A c^{3} + 75 B b c^{2}\right) + x^{4} \left(- 70 A b c^{2} + 50 B b^{2} c\right) + x^{2} \left(14 A b^{2} c - 10 B b^{3}\right)}{30 b^{5} x^{5} + 30 b^{4} c x^{7}}"," ",0,"-sqrt(-c**3/b**9)*(-7*A*c + 5*B*b)*log(-b**5*sqrt(-c**3/b**9)*(-7*A*c + 5*B*b)/(-7*A*c**3 + 5*B*b*c**2) + x)/4 + sqrt(-c**3/b**9)*(-7*A*c + 5*B*b)*log(b**5*sqrt(-c**3/b**9)*(-7*A*c + 5*B*b)/(-7*A*c**3 + 5*B*b*c**2) + x)/4 + (-6*A*b**3 + x**6*(-105*A*c**3 + 75*B*b*c**2) + x**4*(-70*A*b*c**2 + 50*B*b**2*c) + x**2*(14*A*b**2*c - 10*B*b**3))/(30*b**5*x**5 + 30*b**4*c*x**7)","B",0
73,1,252,0,1.399209," ","integrate(x**14*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{B x^{5}}{5 c^{3}} + x^{3} \left(\frac{A}{3 c^{3}} - \frac{B b}{c^{4}}\right) + x \left(- \frac{3 A b}{c^{4}} + \frac{6 B b^{2}}{c^{5}}\right) + \frac{7 \sqrt{- \frac{b^{3}}{c^{11}}} \left(- 5 A c + 9 B b\right) \log{\left(- \frac{7 c^{5} \sqrt{- \frac{b^{3}}{c^{11}}} \left(- 5 A c + 9 B b\right)}{- 35 A b c + 63 B b^{2}} + x \right)}}{16} - \frac{7 \sqrt{- \frac{b^{3}}{c^{11}}} \left(- 5 A c + 9 B b\right) \log{\left(\frac{7 c^{5} \sqrt{- \frac{b^{3}}{c^{11}}} \left(- 5 A c + 9 B b\right)}{- 35 A b c + 63 B b^{2}} + x \right)}}{16} + \frac{x^{3} \left(- 13 A b^{2} c^{2} + 17 B b^{3} c\right) + x \left(- 11 A b^{3} c + 15 B b^{4}\right)}{8 b^{2} c^{5} + 16 b c^{6} x^{2} + 8 c^{7} x^{4}}"," ",0,"B*x**5/(5*c**3) + x**3*(A/(3*c**3) - B*b/c**4) + x*(-3*A*b/c**4 + 6*B*b**2/c**5) + 7*sqrt(-b**3/c**11)*(-5*A*c + 9*B*b)*log(-7*c**5*sqrt(-b**3/c**11)*(-5*A*c + 9*B*b)/(-35*A*b*c + 63*B*b**2) + x)/16 - 7*sqrt(-b**3/c**11)*(-5*A*c + 9*B*b)*log(7*c**5*sqrt(-b**3/c**11)*(-5*A*c + 9*B*b)/(-35*A*b*c + 63*B*b**2) + x)/16 + (x**3*(-13*A*b**2*c**2 + 17*B*b**3*c) + x*(-11*A*b**3*c + 15*B*b**4))/(8*b**2*c**5 + 16*b*c**6*x**2 + 8*c**7*x**4)","A",0
74,1,119,0,1.519184," ","integrate(x**13*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{B x^{4}}{4 c^{3}} + \frac{3 b \left(- A c + 2 B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{5}} + x^{2} \left(\frac{A}{2 c^{3}} - \frac{3 B b}{2 c^{4}}\right) + \frac{- 5 A b^{3} c + 7 B b^{4} + x^{2} \left(- 6 A b^{2} c^{2} + 8 B b^{3} c\right)}{4 b^{2} c^{5} + 8 b c^{6} x^{2} + 4 c^{7} x^{4}}"," ",0,"B*x**4/(4*c**3) + 3*b*(-A*c + 2*B*b)*log(b + c*x**2)/(2*c**5) + x**2*(A/(2*c**3) - 3*B*b/(2*c**4)) + (-5*A*b**3*c + 7*B*b**4 + x**2*(-6*A*b**2*c**2 + 8*B*b**3*c))/(4*b**2*c**5 + 8*b*c**6*x**2 + 4*c**7*x**4)","A",0
75,1,214,0,1.297448," ","integrate(x**12*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{B x^{3}}{3 c^{3}} + x \left(\frac{A}{c^{3}} - \frac{3 B b}{c^{4}}\right) - \frac{5 \sqrt{- \frac{b}{c^{9}}} \left(- 3 A c + 7 B b\right) \log{\left(- \frac{5 c^{4} \sqrt{- \frac{b}{c^{9}}} \left(- 3 A c + 7 B b\right)}{- 15 A c + 35 B b} + x \right)}}{16} + \frac{5 \sqrt{- \frac{b}{c^{9}}} \left(- 3 A c + 7 B b\right) \log{\left(\frac{5 c^{4} \sqrt{- \frac{b}{c^{9}}} \left(- 3 A c + 7 B b\right)}{- 15 A c + 35 B b} + x \right)}}{16} + \frac{x^{3} \left(9 A b c^{2} - 13 B b^{2} c\right) + x \left(7 A b^{2} c - 11 B b^{3}\right)}{8 b^{2} c^{4} + 16 b c^{5} x^{2} + 8 c^{6} x^{4}}"," ",0,"B*x**3/(3*c**3) + x*(A/c**3 - 3*B*b/c**4) - 5*sqrt(-b/c**9)*(-3*A*c + 7*B*b)*log(-5*c**4*sqrt(-b/c**9)*(-3*A*c + 7*B*b)/(-15*A*c + 35*B*b) + x)/16 + 5*sqrt(-b/c**9)*(-3*A*c + 7*B*b)*log(5*c**4*sqrt(-b/c**9)*(-3*A*c + 7*B*b)/(-15*A*c + 35*B*b) + x)/16 + (x**3*(9*A*b*c**2 - 13*B*b**2*c) + x*(7*A*b**2*c - 11*B*b**3))/(8*b**2*c**4 + 16*b*c**5*x**2 + 8*c**6*x**4)","A",0
76,1,94,0,1.293595," ","integrate(x**11*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{B x^{2}}{2 c^{3}} + \frac{3 A b^{2} c - 5 B b^{3} + x^{2} \left(4 A b c^{2} - 6 B b^{2} c\right)}{4 b^{2} c^{4} + 8 b c^{5} x^{2} + 4 c^{6} x^{4}} - \frac{\left(- A c + 3 B b\right) \log{\left(b + c x^{2} \right)}}{2 c^{4}}"," ",0,"B*x**2/(2*c**3) + (3*A*b**2*c - 5*B*b**3 + x**2*(4*A*b*c**2 - 6*B*b**2*c))/(4*b**2*c**4 + 8*b*c**5*x**2 + 4*c**6*x**4) - (-A*c + 3*B*b)*log(b + c*x**2)/(2*c**4)","A",0
77,1,194,0,1.110040," ","integrate(x**10*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{B x}{c^{3}} + \frac{3 \sqrt{- \frac{1}{b c^{7}}} \left(- A c + 5 B b\right) \log{\left(- \frac{3 b c^{3} \sqrt{- \frac{1}{b c^{7}}} \left(- A c + 5 B b\right)}{- 3 A c + 15 B b} + x \right)}}{16} - \frac{3 \sqrt{- \frac{1}{b c^{7}}} \left(- A c + 5 B b\right) \log{\left(\frac{3 b c^{3} \sqrt{- \frac{1}{b c^{7}}} \left(- A c + 5 B b\right)}{- 3 A c + 15 B b} + x \right)}}{16} + \frac{x^{3} \left(- 5 A c^{2} + 9 B b c\right) + x \left(- 3 A b c + 7 B b^{2}\right)}{8 b^{2} c^{3} + 16 b c^{4} x^{2} + 8 c^{5} x^{4}}"," ",0,"B*x/c**3 + 3*sqrt(-1/(b*c**7))*(-A*c + 5*B*b)*log(-3*b*c**3*sqrt(-1/(b*c**7))*(-A*c + 5*B*b)/(-3*A*c + 15*B*b) + x)/16 - 3*sqrt(-1/(b*c**7))*(-A*c + 5*B*b)*log(3*b*c**3*sqrt(-1/(b*c**7))*(-A*c + 5*B*b)/(-3*A*c + 15*B*b) + x)/16 + (x**3*(-5*A*c**2 + 9*B*b*c) + x*(-3*A*b*c + 7*B*b**2))/(8*b**2*c**3 + 16*b*c**4*x**2 + 8*c**5*x**4)","B",0
78,1,70,0,0.931754," ","integrate(x**9*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{B \log{\left(b + c x^{2} \right)}}{2 c^{3}} + \frac{- A b c + 3 B b^{2} + x^{2} \left(- 2 A c^{2} + 4 B b c\right)}{4 b^{2} c^{3} + 8 b c^{4} x^{2} + 4 c^{5} x^{4}}"," ",0,"B*log(b + c*x**2)/(2*c**3) + (-A*b*c + 3*B*b**2 + x**2*(-2*A*c**2 + 4*B*b*c))/(4*b**2*c**3 + 8*b*c**4*x**2 + 4*c**5*x**4)","A",0
79,1,155,0,0.762136," ","integrate(x**8*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","- \frac{\sqrt{- \frac{1}{b^{3} c^{5}}} \left(A c + 3 B b\right) \log{\left(- b^{2} c^{2} \sqrt{- \frac{1}{b^{3} c^{5}}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{b^{3} c^{5}}} \left(A c + 3 B b\right) \log{\left(b^{2} c^{2} \sqrt{- \frac{1}{b^{3} c^{5}}} + x \right)}}{16} + \frac{x^{3} \left(A c^{2} - 5 B b c\right) + x \left(- A b c - 3 B b^{2}\right)}{8 b^{3} c^{2} + 16 b^{2} c^{3} x^{2} + 8 b c^{4} x^{4}}"," ",0,"-sqrt(-1/(b**3*c**5))*(A*c + 3*B*b)*log(-b**2*c**2*sqrt(-1/(b**3*c**5)) + x)/16 + sqrt(-1/(b**3*c**5))*(A*c + 3*B*b)*log(b**2*c**2*sqrt(-1/(b**3*c**5)) + x)/16 + (x**3*(A*c**2 - 5*B*b*c) + x*(-A*b*c - 3*B*b**2))/(8*b**3*c**2 + 16*b**2*c**3*x**2 + 8*b*c**4*x**4)","A",0
80,1,42,0,0.544900," ","integrate(x**7*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{- A c - B b - 2 B c x^{2}}{4 b^{2} c^{2} + 8 b c^{3} x^{2} + 4 c^{4} x^{4}}"," ",0,"(-A*c - B*b - 2*B*c*x**2)/(4*b**2*c**2 + 8*b*c**3*x**2 + 4*c**4*x**4)","A",0
81,1,150,0,0.604654," ","integrate(x**6*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","- \frac{\sqrt{- \frac{1}{b^{5} c^{3}}} \left(3 A c + B b\right) \log{\left(- b^{3} c \sqrt{- \frac{1}{b^{5} c^{3}}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{b^{5} c^{3}}} \left(3 A c + B b\right) \log{\left(b^{3} c \sqrt{- \frac{1}{b^{5} c^{3}}} + x \right)}}{16} + \frac{x^{3} \left(3 A c^{2} + B b c\right) + x \left(5 A b c - B b^{2}\right)}{8 b^{4} c + 16 b^{3} c^{2} x^{2} + 8 b^{2} c^{3} x^{4}}"," ",0,"-sqrt(-1/(b**5*c**3))*(3*A*c + B*b)*log(-b**3*c*sqrt(-1/(b**5*c**3)) + x)/16 + sqrt(-1/(b**5*c**3))*(3*A*c + B*b)*log(b**3*c*sqrt(-1/(b**5*c**3)) + x)/16 + (x**3*(3*A*c**2 + B*b*c) + x*(5*A*b*c - B*b**2))/(8*b**4*c + 16*b**3*c**2*x**2 + 8*b**2*c**3*x**4)","A",0
82,1,75,0,0.594017," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{A \log{\left(x \right)}}{b^{3}} - \frac{A \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{3}} + \frac{3 A b c + 2 A c^{2} x^{2} - B b^{2}}{4 b^{4} c + 8 b^{3} c^{2} x^{2} + 4 b^{2} c^{3} x^{4}}"," ",0,"A*log(x)/b**3 - A*log(b/c + x**2)/(2*b**3) + (3*A*b*c + 2*A*c**2*x**2 - B*b**2)/(4*b**4*c + 8*b**3*c**2*x**2 + 4*b**2*c**3*x**4)","A",0
83,1,194,0,0.727417," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","- \frac{3 \sqrt{- \frac{1}{b^{7} c}} \left(- 5 A c + B b\right) \log{\left(- \frac{3 b^{4} \sqrt{- \frac{1}{b^{7} c}} \left(- 5 A c + B b\right)}{- 15 A c + 3 B b} + x \right)}}{16} + \frac{3 \sqrt{- \frac{1}{b^{7} c}} \left(- 5 A c + B b\right) \log{\left(\frac{3 b^{4} \sqrt{- \frac{1}{b^{7} c}} \left(- 5 A c + B b\right)}{- 15 A c + 3 B b} + x \right)}}{16} + \frac{- 8 A b^{2} + x^{4} \left(- 15 A c^{2} + 3 B b c\right) + x^{2} \left(- 25 A b c + 5 B b^{2}\right)}{8 b^{5} x + 16 b^{4} c x^{3} + 8 b^{3} c^{2} x^{5}}"," ",0,"-3*sqrt(-1/(b**7*c))*(-5*A*c + B*b)*log(-3*b**4*sqrt(-1/(b**7*c))*(-5*A*c + B*b)/(-15*A*c + 3*B*b) + x)/16 + 3*sqrt(-1/(b**7*c))*(-5*A*c + B*b)*log(3*b**4*sqrt(-1/(b**7*c))*(-5*A*c + B*b)/(-15*A*c + 3*B*b) + x)/16 + (-8*A*b**2 + x**4*(-15*A*c**2 + 3*B*b*c) + x**2*(-25*A*b*c + 5*B*b**2))/(8*b**5*x + 16*b**4*c*x**3 + 8*b**3*c**2*x**5)","B",0
84,1,107,0,1.113365," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{- 2 A b^{2} + x^{4} \left(- 6 A c^{2} + 2 B b c\right) + x^{2} \left(- 9 A b c + 3 B b^{2}\right)}{4 b^{5} x^{2} + 8 b^{4} c x^{4} + 4 b^{3} c^{2} x^{6}} + \frac{\left(- 3 A c + B b\right) \log{\left(x \right)}}{b^{4}} - \frac{\left(- 3 A c + B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{4}}"," ",0,"(-2*A*b**2 + x**4*(-6*A*c**2 + 2*B*b*c) + x**2*(-9*A*b*c + 3*B*b**2))/(4*b**5*x**2 + 8*b**4*c*x**4 + 4*b**3*c**2*x**6) + (-3*A*c + B*b)*log(x)/b**4 - (-3*A*c + B*b)*log(b/c + x**2)/(2*b**4)","A",0
85,1,226,0,0.828221," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{5 \sqrt{- \frac{c}{b^{9}}} \left(- 7 A c + 3 B b\right) \log{\left(- \frac{5 b^{5} \sqrt{- \frac{c}{b^{9}}} \left(- 7 A c + 3 B b\right)}{- 35 A c^{2} + 15 B b c} + x \right)}}{16} - \frac{5 \sqrt{- \frac{c}{b^{9}}} \left(- 7 A c + 3 B b\right) \log{\left(\frac{5 b^{5} \sqrt{- \frac{c}{b^{9}}} \left(- 7 A c + 3 B b\right)}{- 35 A c^{2} + 15 B b c} + x \right)}}{16} + \frac{- 8 A b^{3} + x^{6} \left(105 A c^{3} - 45 B b c^{2}\right) + x^{4} \left(175 A b c^{2} - 75 B b^{2} c\right) + x^{2} \left(56 A b^{2} c - 24 B b^{3}\right)}{24 b^{6} x^{3} + 48 b^{5} c x^{5} + 24 b^{4} c^{2} x^{7}}"," ",0,"5*sqrt(-c/b**9)*(-7*A*c + 3*B*b)*log(-5*b**5*sqrt(-c/b**9)*(-7*A*c + 3*B*b)/(-35*A*c**2 + 15*B*b*c) + x)/16 - 5*sqrt(-c/b**9)*(-7*A*c + 3*B*b)*log(5*b**5*sqrt(-c/b**9)*(-7*A*c + 3*B*b)/(-35*A*c**2 + 15*B*b*c) + x)/16 + (-8*A*b**3 + x**6*(105*A*c**3 - 45*B*b*c**2) + x**4*(175*A*b*c**2 - 75*B*b**2*c) + x**2*(56*A*b**2*c - 24*B*b**3))/(24*b**6*x**3 + 48*b**5*c*x**5 + 24*b**4*c**2*x**7)","B",0
86,1,136,0,1.251041," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\frac{- A b^{3} + x^{6} \left(12 A c^{3} - 6 B b c^{2}\right) + x^{4} \left(18 A b c^{2} - 9 B b^{2} c\right) + x^{2} \left(4 A b^{2} c - 2 B b^{3}\right)}{4 b^{6} x^{4} + 8 b^{5} c x^{6} + 4 b^{4} c^{2} x^{8}} - \frac{3 c \left(- 2 A c + B b\right) \log{\left(x \right)}}{b^{5}} + \frac{3 c \left(- 2 A c + B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{2 b^{5}}"," ",0,"(-A*b**3 + x**6*(12*A*c**3 - 6*B*b*c**2) + x**4*(18*A*b*c**2 - 9*B*b**2*c) + x**2*(4*A*b**2*c - 2*B*b**3))/(4*b**6*x**4 + 8*b**5*c*x**6 + 4*b**4*c**2*x**8) - 3*c*(-2*A*c + B*b)*log(x)/b**5 + 3*c*(-2*A*c + B*b)*log(b/c + x**2)/(2*b**5)","A",0
87,1,260,0,0.919696," ","integrate((B*x**2+A)/(c*x**4+b*x**2)**3,x)","- \frac{7 \sqrt{- \frac{c^{3}}{b^{11}}} \left(- 9 A c + 5 B b\right) \log{\left(- \frac{7 b^{6} \sqrt{- \frac{c^{3}}{b^{11}}} \left(- 9 A c + 5 B b\right)}{- 63 A c^{3} + 35 B b c^{2}} + x \right)}}{16} + \frac{7 \sqrt{- \frac{c^{3}}{b^{11}}} \left(- 9 A c + 5 B b\right) \log{\left(\frac{7 b^{6} \sqrt{- \frac{c^{3}}{b^{11}}} \left(- 9 A c + 5 B b\right)}{- 63 A c^{3} + 35 B b c^{2}} + x \right)}}{16} + \frac{- 24 A b^{4} + x^{8} \left(- 945 A c^{4} + 525 B b c^{3}\right) + x^{6} \left(- 1575 A b c^{3} + 875 B b^{2} c^{2}\right) + x^{4} \left(- 504 A b^{2} c^{2} + 280 B b^{3} c\right) + x^{2} \left(72 A b^{3} c - 40 B b^{4}\right)}{120 b^{7} x^{5} + 240 b^{6} c x^{7} + 120 b^{5} c^{2} x^{9}}"," ",0,"-7*sqrt(-c**3/b**11)*(-9*A*c + 5*B*b)*log(-7*b**6*sqrt(-c**3/b**11)*(-9*A*c + 5*B*b)/(-63*A*c**3 + 35*B*b*c**2) + x)/16 + 7*sqrt(-c**3/b**11)*(-9*A*c + 5*B*b)*log(7*b**6*sqrt(-c**3/b**11)*(-9*A*c + 5*B*b)/(-63*A*c**3 + 35*B*b*c**2) + x)/16 + (-24*A*b**4 + x**8*(-945*A*c**4 + 525*B*b*c**3) + x**6*(-1575*A*b*c**3 + 875*B*b**2*c**2) + x**4*(-504*A*b**2*c**2 + 280*B*b**3*c) + x**2*(72*A*b**3*c - 40*B*b**4))/(120*b**7*x**5 + 240*b**6*c*x**7 + 120*b**5*c**2*x**9)","A",0
88,1,165,0,1.333925," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2)**3,x)","\frac{- 2 A b^{4} + x^{8} \left(- 60 A c^{4} + 36 B b c^{3}\right) + x^{6} \left(- 90 A b c^{3} + 54 B b^{2} c^{2}\right) + x^{4} \left(- 20 A b^{2} c^{2} + 12 B b^{3} c\right) + x^{2} \left(5 A b^{3} c - 3 B b^{4}\right)}{12 b^{7} x^{6} + 24 b^{6} c x^{8} + 12 b^{5} c^{2} x^{10}} + \frac{2 c^{2} \left(- 5 A c + 3 B b\right) \log{\left(x \right)}}{b^{6}} - \frac{c^{2} \left(- 5 A c + 3 B b\right) \log{\left(\frac{b}{c} + x^{2} \right)}}{b^{6}}"," ",0,"(-2*A*b**4 + x**8*(-60*A*c**4 + 36*B*b*c**3) + x**6*(-90*A*b*c**3 + 54*B*b**2*c**2) + x**4*(-20*A*b**2*c**2 + 12*B*b**3*c) + x**2*(5*A*b**3*c - 3*B*b**4))/(12*b**7*x**6 + 24*b**6*c*x**8 + 12*b**5*c**2*x**10) + 2*c**2*(-5*A*c + 3*B*b)*log(x)/b**6 - c**2*(-5*A*c + 3*B*b)*log(b/c + x**2)/b**6","A",0
89,0,0,0,0.000000," ","integrate(x**7*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x^{7} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**7*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
90,0,0,0,0.000000," ","integrate(x**5*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x^{5} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**5*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
91,0,0,0,0.000000," ","integrate(x**3*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x^{3} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**3*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
92,0,0,0,0.000000," ","integrate(x*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
93,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x, x)","F",0
94,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**3,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{3}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**3, x)","F",0
95,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**5,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{5}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**5, x)","F",0
96,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**7,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{7}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**7, x)","F",0
97,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**9,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{9}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**9, x)","F",0
98,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**11,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{11}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**11, x)","F",0
99,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**13,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{13}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**13, x)","F",0
100,0,0,0,0.000000," ","integrate(x**4*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x^{4} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**4*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
101,0,0,0,0.000000," ","integrate(x**2*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x^{2} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**2*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
102,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
103,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**2,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{2}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**2, x)","F",0
104,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**4,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{4}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**4, x)","F",0
105,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**6,x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{6}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**6, x)","F",0
106,0,0,0,0.000000," ","integrate(x**5*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\int x^{5} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**5*(x**2*(b + c*x**2))**(3/2)*(A + B*x**2), x)","F",0
107,0,0,0,0.000000," ","integrate(x**3*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\int x^{3} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**3*(x**2*(b + c*x**2))**(3/2)*(A + B*x**2), x)","F",0
108,0,0,0,0.000000," ","integrate(x*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\int x \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x*(x**2*(b + c*x**2))**(3/2)*(A + B*x**2), x)","F",0
109,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x, x)","F",0
110,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**3,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{3}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**3, x)","F",0
111,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**5,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{5}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**5, x)","F",0
112,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**7,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{7}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**7, x)","F",0
113,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**9,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{9}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**9, x)","F",0
114,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**11,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{11}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**11, x)","F",0
115,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**13,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{13}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**13, x)","F",0
116,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**15,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{15}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**15, x)","F",0
117,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**17,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{17}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**17, x)","F",0
118,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**19,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{19}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**19, x)","F",0
119,0,0,0,0.000000," ","integrate(x**4*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\int x^{4} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**4*(x**2*(b + c*x**2))**(3/2)*(A + B*x**2), x)","F",0
120,0,0,0,0.000000," ","integrate(x**2*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\int x^{2} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**2*(x**2*(b + c*x**2))**(3/2)*(A + B*x**2), x)","F",0
121,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\int \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2), x)","F",0
122,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**2,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{2}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**2, x)","F",0
123,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**4,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{4}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**4, x)","F",0
124,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**6,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{6}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**6, x)","F",0
125,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**8,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{8}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**8, x)","F",0
126,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**10,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{10}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**10, x)","F",0
127,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**12,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{12}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**12, x)","F",0
128,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**14,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{14}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**14, x)","F",0
129,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**16,x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{16}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**16, x)","F",0
130,0,0,0,0.000000," ","integrate(x**7*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{7} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**7*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
131,0,0,0,0.000000," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{5} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**5*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
132,0,0,0,0.000000," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{3} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**3*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
133,0,0,0,0.000000," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
134,0,0,0,0.000000," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x*sqrt(x**2*(b + c*x**2))), x)","F",0
135,0,0,0,0.000000," ","integrate((B*x**2+A)/x**3/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{3} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**3*sqrt(x**2*(b + c*x**2))), x)","F",0
136,0,0,0,0.000000," ","integrate((B*x**2+A)/x**5/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{5} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**5*sqrt(x**2*(b + c*x**2))), x)","F",0
137,0,0,0,0.000000," ","integrate((B*x**2+A)/x**7/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{7} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**7*sqrt(x**2*(b + c*x**2))), x)","F",0
138,0,0,0,0.000000," ","integrate((B*x**2+A)/x**9/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{9} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**9*sqrt(x**2*(b + c*x**2))), x)","F",0
139,0,0,0,0.000000," ","integrate(x**6*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{6} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**6*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
140,0,0,0,0.000000," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{4} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**4*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
141,0,0,0,0.000000," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{2} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**2*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
142,0,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
143,0,0,0,0.000000," ","integrate((B*x**2+A)/x**2/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{2} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**2*sqrt(x**2*(b + c*x**2))), x)","F",0
144,0,0,0,0.000000," ","integrate((B*x**2+A)/x**4/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{4} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**4*sqrt(x**2*(b + c*x**2))), x)","F",0
145,0,0,0,0.000000," ","integrate(x**9*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{9} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**9*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
146,0,0,0,0.000000," ","integrate(x**7*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{7} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**7*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
147,0,0,0,0.000000," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{5} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
148,0,0,0,0.000000," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{3} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
149,0,0,0,0.000000," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
150,0,0,0,0.000000," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2)**(3/2),x)","\int \frac{A + B x^{2}}{x \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x**2)/(x*(x**2*(b + c*x**2))**(3/2)), x)","F",0
151,0,0,0,0.000000," ","integrate((B*x**2+A)/x**3/(c*x**4+b*x**2)**(3/2),x)","\int \frac{A + B x^{2}}{x^{3} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**3*(x**2*(b + c*x**2))**(3/2)), x)","F",0
152,0,0,0,0.000000," ","integrate((B*x**2+A)/x**5/(c*x**4+b*x**2)**(3/2),x)","\int \frac{A + B x^{2}}{x^{5} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**5*(x**2*(b + c*x**2))**(3/2)), x)","F",0
153,0,0,0,0.000000," ","integrate(x**8*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{8} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**8*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
154,0,0,0,0.000000," ","integrate(x**6*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{6} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**6*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
155,0,0,0,0.000000," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{4} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
156,0,0,0,0.000000," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{2} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
157,0,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{A + B x^{2}}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
158,0,0,0,0.000000," ","integrate((B*x**2+A)/x**2/(c*x**4+b*x**2)**(3/2),x)","\int \frac{A + B x^{2}}{x^{2} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**2*(x**2*(b + c*x**2))**(3/2)), x)","F",0
159,1,46,0,20.137451," ","integrate(x**(7/2)*(B*x**2+A)*(c*x**4+b*x**2),x)","\frac{2 A b x^{\frac{13}{2}}}{13} + \frac{2 A c x^{\frac{17}{2}}}{17} + \frac{2 B b x^{\frac{17}{2}}}{17} + \frac{2 B c x^{\frac{21}{2}}}{21}"," ",0,"2*A*b*x**(13/2)/13 + 2*A*c*x**(17/2)/17 + 2*B*b*x**(17/2)/17 + 2*B*c*x**(21/2)/21","A",0
160,1,46,0,11.253426," ","integrate(x**(5/2)*(B*x**2+A)*(c*x**4+b*x**2),x)","\frac{2 A b x^{\frac{11}{2}}}{11} + \frac{2 A c x^{\frac{15}{2}}}{15} + \frac{2 B b x^{\frac{15}{2}}}{15} + \frac{2 B c x^{\frac{19}{2}}}{19}"," ",0,"2*A*b*x**(11/2)/11 + 2*A*c*x**(15/2)/15 + 2*B*b*x**(15/2)/15 + 2*B*c*x**(19/2)/19","A",0
161,1,46,0,5.591867," ","integrate(x**(3/2)*(B*x**2+A)*(c*x**4+b*x**2),x)","\frac{2 A b x^{\frac{9}{2}}}{9} + \frac{2 A c x^{\frac{13}{2}}}{13} + \frac{2 B b x^{\frac{13}{2}}}{13} + \frac{2 B c x^{\frac{17}{2}}}{17}"," ",0,"2*A*b*x**(9/2)/9 + 2*A*c*x**(13/2)/13 + 2*B*b*x**(13/2)/13 + 2*B*c*x**(17/2)/17","A",0
162,1,37,0,2.340106," ","integrate((B*x**2+A)*(c*x**4+b*x**2)*x**(1/2),x)","\frac{2 A b x^{\frac{7}{2}}}{7} + \frac{2 B c x^{\frac{15}{2}}}{15} + \frac{2 x^{\frac{11}{2}} \left(A c + B b\right)}{11}"," ",0,"2*A*b*x**(7/2)/7 + 2*B*c*x**(15/2)/15 + 2*x**(11/2)*(A*c + B*b)/11","A",0
163,1,46,0,2.059924," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**(1/2),x)","\frac{2 A b x^{\frac{5}{2}}}{5} + \frac{2 A c x^{\frac{9}{2}}}{9} + \frac{2 B b x^{\frac{9}{2}}}{9} + \frac{2 B c x^{\frac{13}{2}}}{13}"," ",0,"2*A*b*x**(5/2)/5 + 2*A*c*x**(9/2)/9 + 2*B*b*x**(9/2)/9 + 2*B*c*x**(13/2)/13","A",0
164,1,46,0,2.263354," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**(3/2),x)","\frac{2 A b x^{\frac{3}{2}}}{3} + \frac{2 A c x^{\frac{7}{2}}}{7} + \frac{2 B b x^{\frac{7}{2}}}{7} + \frac{2 B c x^{\frac{11}{2}}}{11}"," ",0,"2*A*b*x**(3/2)/3 + 2*A*c*x**(7/2)/7 + 2*B*b*x**(7/2)/7 + 2*B*c*x**(11/2)/11","A",0
165,1,44,0,2.623811," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**(5/2),x)","2 A b \sqrt{x} + \frac{2 A c x^{\frac{5}{2}}}{5} + \frac{2 B b x^{\frac{5}{2}}}{5} + \frac{2 B c x^{\frac{9}{2}}}{9}"," ",0,"2*A*b*sqrt(x) + 2*A*c*x**(5/2)/5 + 2*B*b*x**(5/2)/5 + 2*B*c*x**(9/2)/9","A",0
166,1,44,0,3.918039," ","integrate((B*x**2+A)*(c*x**4+b*x**2)/x**(7/2),x)","- \frac{2 A b}{\sqrt{x}} + \frac{2 A c x^{\frac{3}{2}}}{3} + \frac{2 B b x^{\frac{3}{2}}}{3} + \frac{2 B c x^{\frac{7}{2}}}{7}"," ",0,"-2*A*b/sqrt(x) + 2*A*c*x**(3/2)/3 + 2*B*b*x**(3/2)/3 + 2*B*c*x**(7/2)/7","A",0
167,1,80,0,57.865793," ","integrate(x**(7/2)*(B*x**2+A)*(c*x**4+b*x**2)**2,x)","\frac{2 A b^{2} x^{\frac{17}{2}}}{17} + \frac{4 A b c x^{\frac{21}{2}}}{21} + \frac{2 A c^{2} x^{\frac{25}{2}}}{25} + \frac{2 B b^{2} x^{\frac{21}{2}}}{21} + \frac{4 B b c x^{\frac{25}{2}}}{25} + \frac{2 B c^{2} x^{\frac{29}{2}}}{29}"," ",0,"2*A*b**2*x**(17/2)/17 + 4*A*b*c*x**(21/2)/21 + 2*A*c**2*x**(25/2)/25 + 2*B*b**2*x**(21/2)/21 + 4*B*b*c*x**(25/2)/25 + 2*B*c**2*x**(29/2)/29","A",0
168,1,80,0,39.815702," ","integrate(x**(5/2)*(B*x**2+A)*(c*x**4+b*x**2)**2,x)","\frac{2 A b^{2} x^{\frac{15}{2}}}{15} + \frac{4 A b c x^{\frac{19}{2}}}{19} + \frac{2 A c^{2} x^{\frac{23}{2}}}{23} + \frac{2 B b^{2} x^{\frac{19}{2}}}{19} + \frac{4 B b c x^{\frac{23}{2}}}{23} + \frac{2 B c^{2} x^{\frac{27}{2}}}{27}"," ",0,"2*A*b**2*x**(15/2)/15 + 4*A*b*c*x**(19/2)/19 + 2*A*c**2*x**(23/2)/23 + 2*B*b**2*x**(19/2)/19 + 4*B*b*c*x**(23/2)/23 + 2*B*c**2*x**(27/2)/27","A",0
169,1,80,0,20.946425," ","integrate(x**(3/2)*(B*x**2+A)*(c*x**4+b*x**2)**2,x)","\frac{2 A b^{2} x^{\frac{13}{2}}}{13} + \frac{4 A b c x^{\frac{17}{2}}}{17} + \frac{2 A c^{2} x^{\frac{21}{2}}}{21} + \frac{2 B b^{2} x^{\frac{17}{2}}}{17} + \frac{4 B b c x^{\frac{21}{2}}}{21} + \frac{2 B c^{2} x^{\frac{25}{2}}}{25}"," ",0,"2*A*b**2*x**(13/2)/13 + 4*A*b*c*x**(17/2)/17 + 2*A*c**2*x**(21/2)/21 + 2*B*b**2*x**(17/2)/17 + 4*B*b*c*x**(21/2)/21 + 2*B*c**2*x**(25/2)/25","A",0
170,1,66,0,3.729320," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2*x**(1/2),x)","\frac{2 A b^{2} x^{\frac{11}{2}}}{11} + \frac{2 B c^{2} x^{\frac{23}{2}}}{23} + \frac{2 x^{\frac{19}{2}} \left(A c^{2} + 2 B b c\right)}{19} + \frac{2 x^{\frac{15}{2}} \left(2 A b c + B b^{2}\right)}{15}"," ",0,"2*A*b**2*x**(11/2)/11 + 2*B*c**2*x**(23/2)/23 + 2*x**(19/2)*(A*c**2 + 2*B*b*c)/19 + 2*x**(15/2)*(2*A*b*c + B*b**2)/15","A",0
171,1,80,0,9.942208," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**(1/2),x)","\frac{2 A b^{2} x^{\frac{9}{2}}}{9} + \frac{4 A b c x^{\frac{13}{2}}}{13} + \frac{2 A c^{2} x^{\frac{17}{2}}}{17} + \frac{2 B b^{2} x^{\frac{13}{2}}}{13} + \frac{4 B b c x^{\frac{17}{2}}}{17} + \frac{2 B c^{2} x^{\frac{21}{2}}}{21}"," ",0,"2*A*b**2*x**(9/2)/9 + 4*A*b*c*x**(13/2)/13 + 2*A*c**2*x**(17/2)/17 + 2*B*b**2*x**(13/2)/13 + 4*B*b*c*x**(17/2)/17 + 2*B*c**2*x**(21/2)/21","A",0
172,1,80,0,10.478632," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**(3/2),x)","\frac{2 A b^{2} x^{\frac{7}{2}}}{7} + \frac{4 A b c x^{\frac{11}{2}}}{11} + \frac{2 A c^{2} x^{\frac{15}{2}}}{15} + \frac{2 B b^{2} x^{\frac{11}{2}}}{11} + \frac{4 B b c x^{\frac{15}{2}}}{15} + \frac{2 B c^{2} x^{\frac{19}{2}}}{19}"," ",0,"2*A*b**2*x**(7/2)/7 + 4*A*b*c*x**(11/2)/11 + 2*A*c**2*x**(15/2)/15 + 2*B*b**2*x**(11/2)/11 + 4*B*b*c*x**(15/2)/15 + 2*B*c**2*x**(19/2)/19","A",0
173,1,80,0,12.055125," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**(5/2),x)","\frac{2 A b^{2} x^{\frac{5}{2}}}{5} + \frac{4 A b c x^{\frac{9}{2}}}{9} + \frac{2 A c^{2} x^{\frac{13}{2}}}{13} + \frac{2 B b^{2} x^{\frac{9}{2}}}{9} + \frac{4 B b c x^{\frac{13}{2}}}{13} + \frac{2 B c^{2} x^{\frac{17}{2}}}{17}"," ",0,"2*A*b**2*x**(5/2)/5 + 4*A*b*c*x**(9/2)/9 + 2*A*c**2*x**(13/2)/13 + 2*B*b**2*x**(9/2)/9 + 4*B*b*c*x**(13/2)/13 + 2*B*c**2*x**(17/2)/17","A",0
174,1,80,0,15.463382," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**2/x**(7/2),x)","\frac{2 A b^{2} x^{\frac{3}{2}}}{3} + \frac{4 A b c x^{\frac{7}{2}}}{7} + \frac{2 A c^{2} x^{\frac{11}{2}}}{11} + \frac{2 B b^{2} x^{\frac{7}{2}}}{7} + \frac{4 B b c x^{\frac{11}{2}}}{11} + \frac{2 B c^{2} x^{\frac{15}{2}}}{15}"," ",0,"2*A*b**2*x**(3/2)/3 + 4*A*b*c*x**(7/2)/7 + 2*A*c**2*x**(11/2)/11 + 2*B*b**2*x**(7/2)/7 + 4*B*b*c*x**(11/2)/11 + 2*B*c**2*x**(15/2)/15","A",0
175,1,114,0,134.768312," ","integrate(x**(7/2)*(B*x**2+A)*(c*x**4+b*x**2)**3,x)","\frac{2 A b^{3} x^{\frac{21}{2}}}{21} + \frac{6 A b^{2} c x^{\frac{25}{2}}}{25} + \frac{6 A b c^{2} x^{\frac{29}{2}}}{29} + \frac{2 A c^{3} x^{\frac{33}{2}}}{33} + \frac{2 B b^{3} x^{\frac{25}{2}}}{25} + \frac{6 B b^{2} c x^{\frac{29}{2}}}{29} + \frac{2 B b c^{2} x^{\frac{33}{2}}}{11} + \frac{2 B c^{3} x^{\frac{37}{2}}}{37}"," ",0,"2*A*b**3*x**(21/2)/21 + 6*A*b**2*c*x**(25/2)/25 + 6*A*b*c**2*x**(29/2)/29 + 2*A*c**3*x**(33/2)/33 + 2*B*b**3*x**(25/2)/25 + 6*B*b**2*c*x**(29/2)/29 + 2*B*b*c**2*x**(33/2)/11 + 2*B*c**3*x**(37/2)/37","A",0
176,1,114,0,92.321773," ","integrate(x**(5/2)*(B*x**2+A)*(c*x**4+b*x**2)**3,x)","\frac{2 A b^{3} x^{\frac{19}{2}}}{19} + \frac{6 A b^{2} c x^{\frac{23}{2}}}{23} + \frac{2 A b c^{2} x^{\frac{27}{2}}}{9} + \frac{2 A c^{3} x^{\frac{31}{2}}}{31} + \frac{2 B b^{3} x^{\frac{23}{2}}}{23} + \frac{2 B b^{2} c x^{\frac{27}{2}}}{9} + \frac{6 B b c^{2} x^{\frac{31}{2}}}{31} + \frac{2 B c^{3} x^{\frac{35}{2}}}{35}"," ",0,"2*A*b**3*x**(19/2)/19 + 6*A*b**2*c*x**(23/2)/23 + 2*A*b*c**2*x**(27/2)/9 + 2*A*c**3*x**(31/2)/31 + 2*B*b**3*x**(23/2)/23 + 2*B*b**2*c*x**(27/2)/9 + 6*B*b*c**2*x**(31/2)/31 + 2*B*c**3*x**(35/2)/35","A",0
177,1,114,0,54.009668," ","integrate(x**(3/2)*(B*x**2+A)*(c*x**4+b*x**2)**3,x)","\frac{2 A b^{3} x^{\frac{17}{2}}}{17} + \frac{2 A b^{2} c x^{\frac{21}{2}}}{7} + \frac{6 A b c^{2} x^{\frac{25}{2}}}{25} + \frac{2 A c^{3} x^{\frac{29}{2}}}{29} + \frac{2 B b^{3} x^{\frac{21}{2}}}{21} + \frac{6 B b^{2} c x^{\frac{25}{2}}}{25} + \frac{6 B b c^{2} x^{\frac{29}{2}}}{29} + \frac{2 B c^{3} x^{\frac{33}{2}}}{33}"," ",0,"2*A*b**3*x**(17/2)/17 + 2*A*b**2*c*x**(21/2)/7 + 6*A*b*c**2*x**(25/2)/25 + 2*A*c**3*x**(29/2)/29 + 2*B*b**3*x**(21/2)/21 + 6*B*b**2*c*x**(25/2)/25 + 6*B*b*c**2*x**(29/2)/29 + 2*B*c**3*x**(33/2)/33","A",0
178,1,95,0,5.510325," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3*x**(1/2),x)","\frac{2 A b^{3} x^{\frac{15}{2}}}{15} + \frac{2 B c^{3} x^{\frac{31}{2}}}{31} + \frac{2 x^{\frac{27}{2}} \left(A c^{3} + 3 B b c^{2}\right)}{27} + \frac{2 x^{\frac{23}{2}} \left(3 A b c^{2} + 3 B b^{2} c\right)}{23} + \frac{2 x^{\frac{19}{2}} \left(3 A b^{2} c + B b^{3}\right)}{19}"," ",0,"2*A*b**3*x**(15/2)/15 + 2*B*c**3*x**(31/2)/31 + 2*x**(27/2)*(A*c**3 + 3*B*b*c**2)/27 + 2*x**(23/2)*(3*A*b*c**2 + 3*B*b**2*c)/23 + 2*x**(19/2)*(3*A*b**2*c + B*b**3)/19","A",0
179,1,114,0,29.884478," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**(1/2),x)","\frac{2 A b^{3} x^{\frac{13}{2}}}{13} + \frac{6 A b^{2} c x^{\frac{17}{2}}}{17} + \frac{2 A b c^{2} x^{\frac{21}{2}}}{7} + \frac{2 A c^{3} x^{\frac{25}{2}}}{25} + \frac{2 B b^{3} x^{\frac{17}{2}}}{17} + \frac{2 B b^{2} c x^{\frac{21}{2}}}{7} + \frac{6 B b c^{2} x^{\frac{25}{2}}}{25} + \frac{2 B c^{3} x^{\frac{29}{2}}}{29}"," ",0,"2*A*b**3*x**(13/2)/13 + 6*A*b**2*c*x**(17/2)/17 + 2*A*b*c**2*x**(21/2)/7 + 2*A*c**3*x**(25/2)/25 + 2*B*b**3*x**(17/2)/17 + 2*B*b**2*c*x**(21/2)/7 + 6*B*b*c**2*x**(25/2)/25 + 2*B*c**3*x**(29/2)/29","A",0
180,1,114,0,31.769096," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**(3/2),x)","\frac{2 A b^{3} x^{\frac{11}{2}}}{11} + \frac{2 A b^{2} c x^{\frac{15}{2}}}{5} + \frac{6 A b c^{2} x^{\frac{19}{2}}}{19} + \frac{2 A c^{3} x^{\frac{23}{2}}}{23} + \frac{2 B b^{3} x^{\frac{15}{2}}}{15} + \frac{6 B b^{2} c x^{\frac{19}{2}}}{19} + \frac{6 B b c^{2} x^{\frac{23}{2}}}{23} + \frac{2 B c^{3} x^{\frac{27}{2}}}{27}"," ",0,"2*A*b**3*x**(11/2)/11 + 2*A*b**2*c*x**(15/2)/5 + 6*A*b*c**2*x**(19/2)/19 + 2*A*c**3*x**(23/2)/23 + 2*B*b**3*x**(15/2)/15 + 6*B*b**2*c*x**(19/2)/19 + 6*B*b*c**2*x**(23/2)/23 + 2*B*c**3*x**(27/2)/27","A",0
181,1,114,0,35.910441," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**(5/2),x)","\frac{2 A b^{3} x^{\frac{9}{2}}}{9} + \frac{6 A b^{2} c x^{\frac{13}{2}}}{13} + \frac{6 A b c^{2} x^{\frac{17}{2}}}{17} + \frac{2 A c^{3} x^{\frac{21}{2}}}{21} + \frac{2 B b^{3} x^{\frac{13}{2}}}{13} + \frac{6 B b^{2} c x^{\frac{17}{2}}}{17} + \frac{2 B b c^{2} x^{\frac{21}{2}}}{7} + \frac{2 B c^{3} x^{\frac{25}{2}}}{25}"," ",0,"2*A*b**3*x**(9/2)/9 + 6*A*b**2*c*x**(13/2)/13 + 6*A*b*c**2*x**(17/2)/17 + 2*A*c**3*x**(21/2)/21 + 2*B*b**3*x**(13/2)/13 + 6*B*b**2*c*x**(17/2)/17 + 2*B*b*c**2*x**(21/2)/7 + 2*B*c**3*x**(25/2)/25","A",0
182,1,114,0,53.837401," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**3/x**(7/2),x)","\frac{2 A b^{3} x^{\frac{7}{2}}}{7} + \frac{6 A b^{2} c x^{\frac{11}{2}}}{11} + \frac{2 A b c^{2} x^{\frac{15}{2}}}{5} + \frac{2 A c^{3} x^{\frac{19}{2}}}{19} + \frac{2 B b^{3} x^{\frac{11}{2}}}{11} + \frac{2 B b^{2} c x^{\frac{15}{2}}}{5} + \frac{6 B b c^{2} x^{\frac{19}{2}}}{19} + \frac{2 B c^{3} x^{\frac{23}{2}}}{23}"," ",0,"2*A*b**3*x**(7/2)/7 + 6*A*b**2*c*x**(11/2)/11 + 2*A*b*c**2*x**(15/2)/5 + 2*A*c**3*x**(19/2)/19 + 2*B*b**3*x**(11/2)/11 + 2*B*b**2*c*x**(15/2)/5 + 6*B*b*c**2*x**(19/2)/19 + 2*B*c**3*x**(23/2)/23","A",0
183,-1,0,0,0.000000," ","integrate(x**(13/2)*(B*x**2+A)/(c*x**4+b*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate(x**(11/2)*(B*x**2+A)/(c*x**4+b*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate(x**(9/2)*(B*x**2+A)/(c*x**4+b*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,1,393,0,164.460714," ","integrate(x**(7/2)*(B*x**2+A)/(c*x**4+b*x**2),x)","\begin{cases} \tilde{\infty} \left(2 A \sqrt{x} + \frac{2 B x^{\frac{5}{2}}}{5}\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{\frac{2 A x^{\frac{5}{2}}}{5} + \frac{2 B x^{\frac{9}{2}}}{9}}{b} & \text{for}\: c = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{5}{2}}}{5}}{c} & \text{for}\: b = 0 \\\frac{\sqrt[4]{-1} A \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c} - \frac{\sqrt[4]{-1} A \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c} + \frac{\sqrt[4]{-1} A \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{c} + \frac{2 A \sqrt{x}}{c} - \frac{\sqrt[4]{-1} B b^{\frac{5}{4}} \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c^{2}} + \frac{\sqrt[4]{-1} B b^{\frac{5}{4}} \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c^{2}} - \frac{\sqrt[4]{-1} B b^{\frac{5}{4}} \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{c^{2}} - \frac{2 B b \sqrt{x}}{c^{2}} + \frac{2 B x^{\frac{5}{2}}}{5 c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*sqrt(x) + 2*B*x**(5/2)/5), Eq(b, 0) & Eq(c, 0)), ((2*A*x**(5/2)/5 + 2*B*x**(9/2)/9)/b, Eq(c, 0)), ((2*A*sqrt(x) + 2*B*x**(5/2)/5)/c, Eq(b, 0)), ((-1)**(1/4)*A*b**(1/4)*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c) - (-1)**(1/4)*A*b**(1/4)*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c) + (-1)**(1/4)*A*b**(1/4)*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/c + 2*A*sqrt(x)/c - (-1)**(1/4)*B*b**(5/4)*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c**2) + (-1)**(1/4)*B*b**(5/4)*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c**2) - (-1)**(1/4)*B*b**(5/4)*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/c**2 - 2*B*b*sqrt(x)/c**2 + 2*B*x**(5/2)/(5*c), True))","A",0
187,1,459,0,65.599229," ","integrate(x**(5/2)*(B*x**2+A)/(c*x**4+b*x**2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{\sqrt{x}} + \frac{2 B x^{\frac{3}{2}}}{3}\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{\frac{2 A x^{\frac{3}{2}}}{3} + \frac{2 B x^{\frac{7}{2}}}{7}}{b} & \text{for}\: c = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + \frac{2 B x^{\frac{3}{2}}}{3}}{c} & \text{for}\: b = 0 \\- \frac{\left(-1\right)^{\frac{3}{4}} A \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 \sqrt[4]{b}} + \frac{\left(-1\right)^{\frac{3}{4}} A \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 \sqrt[4]{b}} - \frac{\left(-1\right)^{\frac{3}{4}} A \left(\frac{1}{c}\right)^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{\sqrt[4]{b}} + \frac{2 \left(-1\right)^{\frac{3}{4}} A \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{\sqrt[4]{b} c \sqrt[4]{\frac{1}{c}}} + \frac{\left(-1\right)^{\frac{3}{4}} B b^{\frac{3}{4}} \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c} - \frac{\left(-1\right)^{\frac{3}{4}} B b^{\frac{3}{4}} \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c} + \frac{\left(-1\right)^{\frac{3}{4}} B b^{\frac{3}{4}} \left(\frac{1}{c}\right)^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{c} - \frac{2 \left(-1\right)^{\frac{3}{4}} B b^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{c^{2} \sqrt[4]{\frac{1}{c}}} + \frac{2 B x^{\frac{3}{2}}}{3 c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/sqrt(x) + 2*B*x**(3/2)/3), Eq(b, 0) & Eq(c, 0)), ((2*A*x**(3/2)/3 + 2*B*x**(7/2)/7)/b, Eq(c, 0)), ((-2*A/sqrt(x) + 2*B*x**(3/2)/3)/c, Eq(b, 0)), (-(-1)**(3/4)*A*(1/c)**(3/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(1/4)) + (-1)**(3/4)*A*(1/c)**(3/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(1/4)) - (-1)**(3/4)*A*(1/c)**(3/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(1/4) + 2*(-1)**(3/4)*A*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/(b**(1/4)*c*(1/c)**(1/4)) + (-1)**(3/4)*B*b**(3/4)*(1/c)**(3/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c) - (-1)**(3/4)*B*b**(3/4)*(1/c)**(3/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c) + (-1)**(3/4)*B*b**(3/4)*(1/c)**(3/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/c - 2*(-1)**(3/4)*B*b**(3/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/(c**2*(1/c)**(1/4)) + 2*B*x**(3/2)/(3*c), True))","A",0
188,1,355,0,27.828098," ","integrate(x**(3/2)*(B*x**2+A)/(c*x**4+b*x**2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{3 x^{\frac{3}{2}}} + 2 B \sqrt{x}\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} + 2 B \sqrt{x}}{c} & \text{for}\: b = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{5}{2}}}{5}}{b} & \text{for}\: c = 0 \\- \frac{\sqrt[4]{-1} A \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{3}{4}}} + \frac{\sqrt[4]{-1} A \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{3}{4}}} - \frac{\sqrt[4]{-1} A \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{3}{4}}} + \frac{\sqrt[4]{-1} B \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c} - \frac{\sqrt[4]{-1} B \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 c} + \frac{\sqrt[4]{-1} B \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{c} + \frac{2 B \sqrt{x}}{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(3*x**(3/2)) + 2*B*sqrt(x)), Eq(b, 0) & Eq(c, 0)), ((-2*A/(3*x**(3/2)) + 2*B*sqrt(x))/c, Eq(b, 0)), ((2*A*sqrt(x) + 2*B*x**(5/2)/5)/b, Eq(c, 0)), (-(-1)**(1/4)*A*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(3/4)) + (-1)**(1/4)*A*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(3/4)) - (-1)**(1/4)*A*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(3/4) + (-1)**(1/4)*B*b**(1/4)*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c) - (-1)**(1/4)*B*b**(1/4)*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*c) + (-1)**(1/4)*B*b**(1/4)*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/c + 2*B*sqrt(x)/c, True))","A",0
189,1,456,0,18.454505," ","integrate((B*x**2+A)*x**(1/2)/(c*x**4+b*x**2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{\sqrt{x}}\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{\sqrt{x}}}{c} & \text{for}\: b = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + \frac{2 B x^{\frac{3}{2}}}{3}}{b} & \text{for}\: c = 0 \\- \frac{2 A}{b \sqrt{x}} + \frac{\left(-1\right)^{\frac{3}{4}} A c \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{5}{4}}} - \frac{\left(-1\right)^{\frac{3}{4}} A c \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{5}{4}}} + \frac{\left(-1\right)^{\frac{3}{4}} A c \left(\frac{1}{c}\right)^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{5}{4}}} - \frac{2 \left(-1\right)^{\frac{3}{4}} A \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{5}{4}} \sqrt[4]{\frac{1}{c}}} - \frac{\left(-1\right)^{\frac{3}{4}} B \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 \sqrt[4]{b}} + \frac{\left(-1\right)^{\frac{3}{4}} B \left(\frac{1}{c}\right)^{\frac{3}{4}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 \sqrt[4]{b}} - \frac{\left(-1\right)^{\frac{3}{4}} B \left(\frac{1}{c}\right)^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{\sqrt[4]{b}} + \frac{2 \left(-1\right)^{\frac{3}{4}} B \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{\sqrt[4]{b} c \sqrt[4]{\frac{1}{c}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(5*x**(5/2)) - 2*B/sqrt(x)), Eq(b, 0) & Eq(c, 0)), ((-2*A/(5*x**(5/2)) - 2*B/sqrt(x))/c, Eq(b, 0)), ((-2*A/sqrt(x) + 2*B*x**(3/2)/3)/b, Eq(c, 0)), (-2*A/(b*sqrt(x)) + (-1)**(3/4)*A*c*(1/c)**(3/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(5/4)) - (-1)**(3/4)*A*c*(1/c)**(3/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(5/4)) + (-1)**(3/4)*A*c*(1/c)**(3/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(5/4) - 2*(-1)**(3/4)*A*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/(b**(5/4)*(1/c)**(1/4)) - (-1)**(3/4)*B*(1/c)**(3/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(1/4)) + (-1)**(3/4)*B*(1/c)**(3/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(1/4)) - (-1)**(3/4)*B*(1/c)**(3/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(1/4) + 2*(-1)**(3/4)*B*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/(b**(1/4)*c*(1/c)**(1/4)), True))","A",0
190,1,364,0,27.101250," ","integrate((B*x**2+A)/(c*x**4+b*x**2)/x**(1/2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}}{c} & \text{for}\: b = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} + 2 B \sqrt{x}}{b} & \text{for}\: c = 0 \\- \frac{2 A}{3 b x^{\frac{3}{2}}} + \frac{\sqrt[4]{-1} A c \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{7}{4}}} - \frac{\sqrt[4]{-1} A c \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{7}{4}}} + \frac{\sqrt[4]{-1} A c \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{7}{4}}} - \frac{\sqrt[4]{-1} B \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{3}{4}}} + \frac{\sqrt[4]{-1} B \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{3}{4}}} - \frac{\sqrt[4]{-1} B \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{3}{4}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(7*x**(7/2)) - 2*B/(3*x**(3/2))), Eq(b, 0) & Eq(c, 0)), ((-2*A/(7*x**(7/2)) - 2*B/(3*x**(3/2)))/c, Eq(b, 0)), ((-2*A/(3*x**(3/2)) + 2*B*sqrt(x))/b, Eq(c, 0)), (-2*A/(3*b*x**(3/2)) + (-1)**(1/4)*A*c*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(7/4)) - (-1)**(1/4)*A*c*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(7/4)) + (-1)**(1/4)*A*c*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(7/4) - (-1)**(1/4)*B*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(3/4)) + (-1)**(1/4)*B*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(3/4)) - (-1)**(1/4)*B*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(3/4), True))","A",0
191,1,366,0,108.599413," ","integrate((B*x**2+A)/x**(3/2)/(c*x**4+b*x**2),x)","A \left(\begin{cases} \frac{\tilde{\infty}}{x^{\frac{9}{2}}} & \text{for}\: b = 0 \wedge c = 0 \\- \frac{2}{9 c x^{\frac{9}{2}}} & \text{for}\: b = 0 \\- \frac{2}{5 b x^{\frac{5}{2}}} & \text{for}\: c = 0 \\- \frac{2}{5 b x^{\frac{5}{2}}} + \frac{2 c}{b^{2} \sqrt{x}} - \frac{\left(-1\right)^{\frac{3}{4}} c \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{9}{4}} \sqrt[4]{\frac{1}{c}}} + \frac{\left(-1\right)^{\frac{3}{4}} c \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{9}{4}} \sqrt[4]{\frac{1}{c}}} + \frac{\left(-1\right)^{\frac{3}{4}} c \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{9}{4}} \sqrt[4]{\frac{1}{c}}} & \text{otherwise} \end{cases}\right) + B \left(\begin{cases} \frac{\tilde{\infty}}{x^{\frac{5}{2}}} & \text{for}\: b = 0 \wedge c = 0 \\- \frac{2}{5 c x^{\frac{5}{2}}} & \text{for}\: b = 0 \\- \frac{2}{b \sqrt{x}} & \text{for}\: c = 0 \\- \frac{2}{b \sqrt{x}} + \frac{\left(-1\right)^{\frac{3}{4}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{5}{4}} \sqrt[4]{\frac{1}{c}}} - \frac{\left(-1\right)^{\frac{3}{4}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{5}{4}} \sqrt[4]{\frac{1}{c}}} - \frac{\left(-1\right)^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{5}{4}} \sqrt[4]{\frac{1}{c}}} & \text{otherwise} \end{cases}\right)"," ",0,"A*Piecewise((zoo/x**(9/2), Eq(b, 0) & Eq(c, 0)), (-2/(9*c*x**(9/2)), Eq(b, 0)), (-2/(5*b*x**(5/2)), Eq(c, 0)), (-2/(5*b*x**(5/2)) + 2*c/(b**2*sqrt(x)) - (-1)**(3/4)*c*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(9/4)*(1/c)**(1/4)) + (-1)**(3/4)*c*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(9/4)*(1/c)**(1/4)) + (-1)**(3/4)*c*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/(b**(9/4)*(1/c)**(1/4)), True)) + B*Piecewise((zoo/x**(5/2), Eq(b, 0) & Eq(c, 0)), (-2/(5*c*x**(5/2)), Eq(b, 0)), (-2/(b*sqrt(x)), Eq(c, 0)), (-2/(b*sqrt(x)) + (-1)**(3/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(5/4)*(1/c)**(1/4)) - (-1)**(3/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(5/4)*(1/c)**(1/4)) - (-1)**(3/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/(b**(5/4)*(1/c)**(1/4)), True))","A",0
192,1,405,0,109.297767," ","integrate((B*x**2+A)/x**(5/2)/(c*x**4+b*x**2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{11 x^{\frac{11}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{- \frac{2 A}{11 x^{\frac{11}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}}{c} & \text{for}\: b = 0 \\\frac{- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}}{b} & \text{for}\: c = 0 \\- \frac{2 A}{7 b x^{\frac{7}{2}}} + \frac{2 A c}{3 b^{2} x^{\frac{3}{2}}} - \frac{\sqrt[4]{-1} A c^{2} \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{11}{4}}} + \frac{\sqrt[4]{-1} A c^{2} \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{11}{4}}} - \frac{\sqrt[4]{-1} A c^{2} \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{11}{4}}} - \frac{2 B}{3 b x^{\frac{3}{2}}} + \frac{\sqrt[4]{-1} B c \sqrt[4]{\frac{1}{c}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{7}{4}}} - \frac{\sqrt[4]{-1} B c \sqrt[4]{\frac{1}{c}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{c}} + \sqrt{x} \right)}}{2 b^{\frac{7}{4}}} + \frac{\sqrt[4]{-1} B c \sqrt[4]{\frac{1}{c}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{x}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{c}}} \right)}}{b^{\frac{7}{4}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(11*x**(11/2)) - 2*B/(7*x**(7/2))), Eq(b, 0) & Eq(c, 0)), ((-2*A/(11*x**(11/2)) - 2*B/(7*x**(7/2)))/c, Eq(b, 0)), ((-2*A/(7*x**(7/2)) - 2*B/(3*x**(3/2)))/b, Eq(c, 0)), (-2*A/(7*b*x**(7/2)) + 2*A*c/(3*b**2*x**(3/2)) - (-1)**(1/4)*A*c**2*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(11/4)) + (-1)**(1/4)*A*c**2*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(11/4)) - (-1)**(1/4)*A*c**2*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(11/4) - 2*B/(3*b*x**(3/2)) + (-1)**(1/4)*B*c*(1/c)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(7/4)) - (-1)**(1/4)*B*c*(1/c)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/c)**(1/4) + sqrt(x))/(2*b**(7/4)) + (-1)**(1/4)*B*c*(1/c)**(1/4)*atan((-1)**(3/4)*sqrt(x)/(b**(1/4)*(1/c)**(1/4)))/b**(7/4), True))","A",0
193,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**(7/2)/(c*x**4+b*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**(9/2)/(c*x**4+b*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,-1,0,0,0.000000," ","integrate(x**(19/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
196,-1,0,0,0.000000," ","integrate(x**(17/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,-1,0,0,0.000000," ","integrate(x**(15/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
198,-1,0,0,0.000000," ","integrate(x**(13/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
199,-1,0,0,0.000000," ","integrate(x**(11/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,-1,0,0,0.000000," ","integrate(x**(9/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,-1,0,0,0.000000," ","integrate(x**(3/2)*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,-1,0,0,0.000000," ","integrate((B*x**2+A)*x**(1/2)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
205,-1,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2)**2/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
206,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**(3/2)/(c*x**4+b*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
207,-1,0,0,0.000000," ","integrate(x**(23/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,-1,0,0,0.000000," ","integrate(x**(21/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate(x**(19/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,-1,0,0,0.000000," ","integrate(x**(17/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
211,-1,0,0,0.000000," ","integrate(x**(15/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
212,-1,0,0,0.000000," ","integrate(x**(13/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
213,-1,0,0,0.000000," ","integrate(x**(11/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,-1,0,0,0.000000," ","integrate(x**(9/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
215,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
216,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
217,-1,0,0,0.000000," ","integrate(x**(3/2)*(B*x**2+A)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
218,-1,0,0,0.000000," ","integrate((B*x**2+A)*x**(1/2)/(c*x**4+b*x**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,-1,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2)**3/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,0,0,0,0.000000," ","integrate(x**(5/2)*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x^{\frac{5}{2}} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**(5/2)*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
221,0,0,0,0.000000," ","integrate(x**(3/2)*(B*x**2+A)*(c*x**4+b*x**2)**(1/2),x)","\int x^{\frac{3}{2}} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**(3/2)*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
222,0,0,0,0.000000," ","integrate((B*x**2+A)*x**(1/2)*(c*x**4+b*x**2)**(1/2),x)","\int \sqrt{x} \sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(sqrt(x)*sqrt(x**2*(b + c*x**2))*(A + B*x**2), x)","F",0
223,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(1/2),x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{\sqrt{x}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/sqrt(x), x)","F",0
224,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(3/2),x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**(3/2), x)","F",0
225,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(5/2),x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**(5/2), x)","F",0
226,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(7/2),x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{\frac{7}{2}}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**(7/2), x)","F",0
227,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(9/2),x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{\frac{9}{2}}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**(9/2), x)","F",0
228,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(11/2),x)","\int \frac{\sqrt{x^{2} \left(b + c x^{2}\right)} \left(A + B x^{2}\right)}{x^{\frac{11}{2}}}\, dx"," ",0,"Integral(sqrt(x**2*(b + c*x**2))*(A + B*x**2)/x**(11/2), x)","F",0
229,-1,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,-1,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(1/2)/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
232,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
233,-1,0,0,0.000000," ","integrate(x**(3/2)*(B*x**2+A)*(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)*x**(1/2),x)","\int \sqrt{x} \left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(sqrt(x)*(x**2*(b + c*x**2))**(3/2)*(A + B*x**2), x)","F",0
235,-1,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(3/2),x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**(3/2), x)","F",0
237,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(5/2),x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**(5/2), x)","F",0
238,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(7/2),x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{\frac{7}{2}}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**(7/2), x)","F",0
239,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(9/2),x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{\frac{9}{2}}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**(9/2), x)","F",0
240,0,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(11/2),x)","\int \frac{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}} \left(A + B x^{2}\right)}{x^{\frac{11}{2}}}\, dx"," ",0,"Integral((x**2*(b + c*x**2))**(3/2)*(A + B*x**2)/x**(11/2), x)","F",0
241,-1,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,-1,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,-1,0,0,0.000000," ","integrate((B*x**2+A)*(c*x**4+b*x**2)**(3/2)/x**(17/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,-1,0,0,0.000000," ","integrate(x**(13/2)*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,-1,0,0,0.000000," ","integrate(x**(11/2)*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,-1,0,0,0.000000," ","integrate(x**(9/2)*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,0,0,0,0.000000," ","integrate(x**(7/2)*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{\frac{7}{2}} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**(7/2)*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
248,0,0,0,0.000000," ","integrate(x**(5/2)*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{\frac{5}{2}} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**(5/2)*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
249,0,0,0,0.000000," ","integrate(x**(3/2)*(B*x**2+A)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{x^{\frac{3}{2}} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(x**(3/2)*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
250,0,0,0,0.000000," ","integrate((B*x**2+A)*x**(1/2)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{\sqrt{x} \left(A + B x^{2}\right)}{\sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral(sqrt(x)*(A + B*x**2)/sqrt(x**2*(b + c*x**2)), x)","F",0
251,0,0,0,0.000000," ","integrate((B*x**2+A)/x**(1/2)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{\sqrt{x} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(sqrt(x)*sqrt(x**2*(b + c*x**2))), x)","F",0
252,0,0,0,0.000000," ","integrate((B*x**2+A)/x**(3/2)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{\frac{3}{2}} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**(3/2)*sqrt(x**2*(b + c*x**2))), x)","F",0
253,0,0,0,0.000000," ","integrate((B*x**2+A)/x**(5/2)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{\frac{5}{2}} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**(5/2)*sqrt(x**2*(b + c*x**2))), x)","F",0
254,0,0,0,0.000000," ","integrate((B*x**2+A)/x**(7/2)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{\frac{7}{2}} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**(7/2)*sqrt(x**2*(b + c*x**2))), x)","F",0
255,0,0,0,0.000000," ","integrate((B*x**2+A)/x**(9/2)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{\frac{9}{2}} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**(9/2)*sqrt(x**2*(b + c*x**2))), x)","F",0
256,0,0,0,0.000000," ","integrate((B*x**2+A)/x**(11/2)/(c*x**4+b*x**2)**(1/2),x)","\int \frac{A + B x^{2}}{x^{\frac{11}{2}} \sqrt{x^{2} \left(b + c x^{2}\right)}}\, dx"," ",0,"Integral((A + B*x**2)/(x**(11/2)*sqrt(x**2*(b + c*x**2))), x)","F",0
257,-1,0,0,0.000000," ","integrate(x**(17/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(x**(15/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,-1,0,0,0.000000," ","integrate(x**(13/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
260,-1,0,0,0.000000," ","integrate(x**(11/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
261,-1,0,0,0.000000," ","integrate(x**(9/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
262,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
263,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
264,0,0,0,0.000000," ","integrate(x**(3/2)*(B*x**2+A)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{x^{\frac{3}{2}} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**(3/2)*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
265,0,0,0,0.000000," ","integrate((B*x**2+A)*x**(1/2)/(c*x**4+b*x**2)**(3/2),x)","\int \frac{\sqrt{x} \left(A + B x^{2}\right)}{\left(x^{2} \left(b + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(x)*(A + B*x**2)/(x**2*(b + c*x**2))**(3/2), x)","F",0
266,-1,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2)**(3/2)/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
267,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**(3/2)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
268,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**(5/2)/(c*x**4+b*x**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
269,1,2077,0,9.054616," ","integrate(x**m*(B*x**2+A)*(c*x**4+b*x**2)**3,x)","\begin{cases} - \frac{A b^{3}}{8 x^{8}} - \frac{A b^{2} c}{2 x^{6}} - \frac{3 A b c^{2}}{4 x^{4}} - \frac{A c^{3}}{2 x^{2}} - \frac{B b^{3}}{6 x^{6}} - \frac{3 B b^{2} c}{4 x^{4}} - \frac{3 B b c^{2}}{2 x^{2}} + B c^{3} \log{\left(x \right)} & \text{for}\: m = -15 \\- \frac{A b^{3}}{6 x^{6}} - \frac{3 A b^{2} c}{4 x^{4}} - \frac{3 A b c^{2}}{2 x^{2}} + A c^{3} \log{\left(x \right)} - \frac{B b^{3}}{4 x^{4}} - \frac{3 B b^{2} c}{2 x^{2}} + 3 B b c^{2} \log{\left(x \right)} + \frac{B c^{3} x^{2}}{2} & \text{for}\: m = -13 \\- \frac{A b^{3}}{4 x^{4}} - \frac{3 A b^{2} c}{2 x^{2}} + 3 A b c^{2} \log{\left(x \right)} + \frac{A c^{3} x^{2}}{2} - \frac{B b^{3}}{2 x^{2}} + 3 B b^{2} c \log{\left(x \right)} + \frac{3 B b c^{2} x^{2}}{2} + \frac{B c^{3} x^{4}}{4} & \text{for}\: m = -11 \\- \frac{A b^{3}}{2 x^{2}} + 3 A b^{2} c \log{\left(x \right)} + \frac{3 A b c^{2} x^{2}}{2} + \frac{A c^{3} x^{4}}{4} + B b^{3} \log{\left(x \right)} + \frac{3 B b^{2} c x^{2}}{2} + \frac{3 B b c^{2} x^{4}}{4} + \frac{B c^{3} x^{6}}{6} & \text{for}\: m = -9 \\A b^{3} \log{\left(x \right)} + \frac{3 A b^{2} c x^{2}}{2} + \frac{3 A b c^{2} x^{4}}{4} + \frac{A c^{3} x^{6}}{6} + \frac{B b^{3} x^{2}}{2} + \frac{3 B b^{2} c x^{4}}{4} + \frac{B b c^{2} x^{6}}{2} + \frac{B c^{3} x^{8}}{8} & \text{for}\: m = -7 \\\frac{A b^{3} m^{4} x^{7} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{48 A b^{3} m^{3} x^{7} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{854 A b^{3} m^{2} x^{7} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{6672 A b^{3} m x^{7} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{19305 A b^{3} x^{7} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{3 A b^{2} c m^{4} x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{138 A b^{2} c m^{3} x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{2328 A b^{2} c m^{2} x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{16998 A b^{2} c m x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{45045 A b^{2} c x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{3 A b c^{2} m^{4} x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{132 A b c^{2} m^{3} x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{2118 A b c^{2} m^{2} x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{14652 A b c^{2} m x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{36855 A b c^{2} x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{A c^{3} m^{4} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{42 A c^{3} m^{3} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{644 A c^{3} m^{2} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{4278 A c^{3} m x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{10395 A c^{3} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{B b^{3} m^{4} x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{46 B b^{3} m^{3} x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{776 B b^{3} m^{2} x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{5666 B b^{3} m x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{15015 B b^{3} x^{9} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{3 B b^{2} c m^{4} x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{132 B b^{2} c m^{3} x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{2118 B b^{2} c m^{2} x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{14652 B b^{2} c m x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{36855 B b^{2} c x^{11} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{3 B b c^{2} m^{4} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{126 B b c^{2} m^{3} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{1932 B b c^{2} m^{2} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{12834 B b c^{2} m x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{31185 B b c^{2} x^{13} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{B c^{3} m^{4} x^{15} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{40 B c^{3} m^{3} x^{15} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{590 B c^{3} m^{2} x^{15} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{3800 B c^{3} m x^{15} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} + \frac{9009 B c^{3} x^{15} x^{m}}{m^{5} + 55 m^{4} + 1190 m^{3} + 12650 m^{2} + 66009 m + 135135} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*b**3/(8*x**8) - A*b**2*c/(2*x**6) - 3*A*b*c**2/(4*x**4) - A*c**3/(2*x**2) - B*b**3/(6*x**6) - 3*B*b**2*c/(4*x**4) - 3*B*b*c**2/(2*x**2) + B*c**3*log(x), Eq(m, -15)), (-A*b**3/(6*x**6) - 3*A*b**2*c/(4*x**4) - 3*A*b*c**2/(2*x**2) + A*c**3*log(x) - B*b**3/(4*x**4) - 3*B*b**2*c/(2*x**2) + 3*B*b*c**2*log(x) + B*c**3*x**2/2, Eq(m, -13)), (-A*b**3/(4*x**4) - 3*A*b**2*c/(2*x**2) + 3*A*b*c**2*log(x) + A*c**3*x**2/2 - B*b**3/(2*x**2) + 3*B*b**2*c*log(x) + 3*B*b*c**2*x**2/2 + B*c**3*x**4/4, Eq(m, -11)), (-A*b**3/(2*x**2) + 3*A*b**2*c*log(x) + 3*A*b*c**2*x**2/2 + A*c**3*x**4/4 + B*b**3*log(x) + 3*B*b**2*c*x**2/2 + 3*B*b*c**2*x**4/4 + B*c**3*x**6/6, Eq(m, -9)), (A*b**3*log(x) + 3*A*b**2*c*x**2/2 + 3*A*b*c**2*x**4/4 + A*c**3*x**6/6 + B*b**3*x**2/2 + 3*B*b**2*c*x**4/4 + B*b*c**2*x**6/2 + B*c**3*x**8/8, Eq(m, -7)), (A*b**3*m**4*x**7*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 48*A*b**3*m**3*x**7*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 854*A*b**3*m**2*x**7*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 6672*A*b**3*m*x**7*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 19305*A*b**3*x**7*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 3*A*b**2*c*m**4*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 138*A*b**2*c*m**3*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 2328*A*b**2*c*m**2*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 16998*A*b**2*c*m*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 45045*A*b**2*c*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 3*A*b*c**2*m**4*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 132*A*b*c**2*m**3*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 2118*A*b*c**2*m**2*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 14652*A*b*c**2*m*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 36855*A*b*c**2*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + A*c**3*m**4*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 42*A*c**3*m**3*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 644*A*c**3*m**2*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 4278*A*c**3*m*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 10395*A*c**3*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + B*b**3*m**4*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 46*B*b**3*m**3*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 776*B*b**3*m**2*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 5666*B*b**3*m*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 15015*B*b**3*x**9*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 3*B*b**2*c*m**4*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 132*B*b**2*c*m**3*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 2118*B*b**2*c*m**2*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 14652*B*b**2*c*m*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 36855*B*b**2*c*x**11*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 3*B*b*c**2*m**4*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 126*B*b*c**2*m**3*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 1932*B*b*c**2*m**2*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 12834*B*b*c**2*m*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 31185*B*b*c**2*x**13*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + B*c**3*m**4*x**15*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 40*B*c**3*m**3*x**15*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 590*B*c**3*m**2*x**15*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 3800*B*c**3*m*x**15*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135) + 9009*B*c**3*x**15*x**m/(m**5 + 55*m**4 + 1190*m**3 + 12650*m**2 + 66009*m + 135135), True))","A",0
270,1,1051,0,4.421794," ","integrate(x**m*(B*x**2+A)*(c*x**4+b*x**2)**2,x)","\begin{cases} - \frac{A b^{2}}{6 x^{6}} - \frac{A b c}{2 x^{4}} - \frac{A c^{2}}{2 x^{2}} - \frac{B b^{2}}{4 x^{4}} - \frac{B b c}{x^{2}} + B c^{2} \log{\left(x \right)} & \text{for}\: m = -11 \\- \frac{A b^{2}}{4 x^{4}} - \frac{A b c}{x^{2}} + A c^{2} \log{\left(x \right)} - \frac{B b^{2}}{2 x^{2}} + 2 B b c \log{\left(x \right)} + \frac{B c^{2} x^{2}}{2} & \text{for}\: m = -9 \\- \frac{A b^{2}}{2 x^{2}} + 2 A b c \log{\left(x \right)} + \frac{A c^{2} x^{2}}{2} + B b^{2} \log{\left(x \right)} + B b c x^{2} + \frac{B c^{2} x^{4}}{4} & \text{for}\: m = -7 \\A b^{2} \log{\left(x \right)} + A b c x^{2} + \frac{A c^{2} x^{4}}{4} + \frac{B b^{2} x^{2}}{2} + \frac{B b c x^{4}}{2} + \frac{B c^{2} x^{6}}{6} & \text{for}\: m = -5 \\\frac{A b^{2} m^{3} x^{5} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{27 A b^{2} m^{2} x^{5} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{239 A b^{2} m x^{5} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{693 A b^{2} x^{5} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{2 A b c m^{3} x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{50 A b c m^{2} x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{398 A b c m x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{990 A b c x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{A c^{2} m^{3} x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{23 A c^{2} m^{2} x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{167 A c^{2} m x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{385 A c^{2} x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{B b^{2} m^{3} x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{25 B b^{2} m^{2} x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{199 B b^{2} m x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{495 B b^{2} x^{7} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{2 B b c m^{3} x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{46 B b c m^{2} x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{334 B b c m x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{770 B b c x^{9} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{B c^{2} m^{3} x^{11} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{21 B c^{2} m^{2} x^{11} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{143 B c^{2} m x^{11} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} + \frac{315 B c^{2} x^{11} x^{m}}{m^{4} + 32 m^{3} + 374 m^{2} + 1888 m + 3465} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*b**2/(6*x**6) - A*b*c/(2*x**4) - A*c**2/(2*x**2) - B*b**2/(4*x**4) - B*b*c/x**2 + B*c**2*log(x), Eq(m, -11)), (-A*b**2/(4*x**4) - A*b*c/x**2 + A*c**2*log(x) - B*b**2/(2*x**2) + 2*B*b*c*log(x) + B*c**2*x**2/2, Eq(m, -9)), (-A*b**2/(2*x**2) + 2*A*b*c*log(x) + A*c**2*x**2/2 + B*b**2*log(x) + B*b*c*x**2 + B*c**2*x**4/4, Eq(m, -7)), (A*b**2*log(x) + A*b*c*x**2 + A*c**2*x**4/4 + B*b**2*x**2/2 + B*b*c*x**4/2 + B*c**2*x**6/6, Eq(m, -5)), (A*b**2*m**3*x**5*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 27*A*b**2*m**2*x**5*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 239*A*b**2*m*x**5*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 693*A*b**2*x**5*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 2*A*b*c*m**3*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 50*A*b*c*m**2*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 398*A*b*c*m*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 990*A*b*c*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + A*c**2*m**3*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 23*A*c**2*m**2*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 167*A*c**2*m*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 385*A*c**2*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + B*b**2*m**3*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 25*B*b**2*m**2*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 199*B*b**2*m*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 495*B*b**2*x**7*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 2*B*b*c*m**3*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 46*B*b*c*m**2*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 334*B*b*c*m*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 770*B*b*c*x**9*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + B*c**2*m**3*x**11*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 21*B*c**2*m**2*x**11*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 143*B*c**2*m*x**11*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465) + 315*B*c**2*x**11*x**m/(m**4 + 32*m**3 + 374*m**2 + 1888*m + 3465), True))","A",0
271,1,415,0,1.621056," ","integrate(x**m*(B*x**2+A)*(c*x**4+b*x**2),x)","\begin{cases} - \frac{A b}{4 x^{4}} - \frac{A c}{2 x^{2}} - \frac{B b}{2 x^{2}} + B c \log{\left(x \right)} & \text{for}\: m = -7 \\- \frac{A b}{2 x^{2}} + A c \log{\left(x \right)} + B b \log{\left(x \right)} + \frac{B c x^{2}}{2} & \text{for}\: m = -5 \\A b \log{\left(x \right)} + \frac{A c x^{2}}{2} + \frac{B b x^{2}}{2} + \frac{B c x^{4}}{4} & \text{for}\: m = -3 \\\frac{A b m^{2} x^{3} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{12 A b m x^{3} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{35 A b x^{3} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{A c m^{2} x^{5} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{10 A c m x^{5} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{21 A c x^{5} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{B b m^{2} x^{5} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{10 B b m x^{5} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{21 B b x^{5} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{B c m^{2} x^{7} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{8 B c m x^{7} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} + \frac{15 B c x^{7} x^{m}}{m^{3} + 15 m^{2} + 71 m + 105} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*b/(4*x**4) - A*c/(2*x**2) - B*b/(2*x**2) + B*c*log(x), Eq(m, -7)), (-A*b/(2*x**2) + A*c*log(x) + B*b*log(x) + B*c*x**2/2, Eq(m, -5)), (A*b*log(x) + A*c*x**2/2 + B*b*x**2/2 + B*c*x**4/4, Eq(m, -3)), (A*b*m**2*x**3*x**m/(m**3 + 15*m**2 + 71*m + 105) + 12*A*b*m*x**3*x**m/(m**3 + 15*m**2 + 71*m + 105) + 35*A*b*x**3*x**m/(m**3 + 15*m**2 + 71*m + 105) + A*c*m**2*x**5*x**m/(m**3 + 15*m**2 + 71*m + 105) + 10*A*c*m*x**5*x**m/(m**3 + 15*m**2 + 71*m + 105) + 21*A*c*x**5*x**m/(m**3 + 15*m**2 + 71*m + 105) + B*b*m**2*x**5*x**m/(m**3 + 15*m**2 + 71*m + 105) + 10*B*b*m*x**5*x**m/(m**3 + 15*m**2 + 71*m + 105) + 21*B*b*x**5*x**m/(m**3 + 15*m**2 + 71*m + 105) + B*c*m**2*x**7*x**m/(m**3 + 15*m**2 + 71*m + 105) + 8*B*c*m*x**7*x**m/(m**3 + 15*m**2 + 71*m + 105) + 15*B*c*x**7*x**m/(m**3 + 15*m**2 + 71*m + 105), True))","A",0
272,0,0,0,0.000000," ","integrate(x**m*(B*x**2+A)/(c*x**4+b*x**2),x)","\int \frac{x^{m} \left(A + B x^{2}\right)}{x^{2} \left(b + c x^{2}\right)}\, dx"," ",0,"Integral(x**m*(A + B*x**2)/(x**2*(b + c*x**2)), x)","F",0
273,0,0,0,0.000000," ","integrate(x**m*(B*x**2+A)/(c*x**4+b*x**2)**2,x)","\int \frac{x^{m} \left(A + B x^{2}\right)}{x^{4} \left(b + c x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**m*(A + B*x**2)/(x**4*(b + c*x**2)**2), x)","F",0
274,0,0,0,0.000000," ","integrate(x**m*(B*x**2+A)*(c*x**4+b*x**2)**p,x)","\int x^{m} \left(x^{2} \left(b + c x^{2}\right)\right)^{p} \left(A + B x^{2}\right)\, dx"," ",0,"Integral(x**m*(x**2*(b + c*x**2))**p*(A + B*x**2), x)","F",0
275,-1,0,0,0.000000," ","integrate(x**(-j*p+n-1)*(c+d*x**n)*(a*x**j+b*x**(j+n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
276,-1,0,0,0.000000," ","integrate((e*x)**m*(c+d*x**n)**q*(a*x**j+b*x**(j+n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
277,-1,0,0,0.000000," ","integrate((e*x)**(7/4)*(c+d*x**n)**q*(a*x**j+b*x**(j+n))**(5/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
278,1,17,0,0.112959," ","integrate((3*x**4+4)/(2*x**5+5*x),x)","\frac{4 \log{\left(x \right)}}{5} + \frac{7 \log{\left(2 x^{4} + 5 \right)}}{40}"," ",0,"4*log(x)/5 + 7*log(2*x**4 + 5)/40","A",0
279,1,10,0,0.121407," ","integrate((x**6+1)/(-x**7+x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{6} - 1 \right)}}{3}"," ",0,"log(x) - log(x**6 - 1)/3","A",0
280,1,14,0,0.145776," ","integrate((5*x**10+8)/(-x**11+2*x),x)","4 \log{\left(x \right)} - \frac{9 \log{\left(x^{10} - 2 \right)}}{10}"," ",0,"4*log(x) - 9*log(x**10 - 2)/10","A",0
281,1,10,0,0.101943," ","integrate((-3+2*x)/(x**3-x**2),x)","\log{\left(x \right)} - \log{\left(x - 1 \right)} - \frac{3}{x}"," ",0,"log(x) - log(x - 1) - 3/x","A",0
282,0,0,0,0.000000," ","integrate((a*x**m+b*x**n)/(c*x**m+d*x**n),x)","\int \frac{a x^{m} + b x^{n}}{c x^{m} + d x^{n}}\, dx"," ",0,"Integral((a*x**m + b*x**n)/(c*x**m + d*x**n), x)","F",0
283,-1,0,0,0.000000," ","integrate(x**m*(a+b*x**n)**p*(a*(1+m+q)*x**q+b*(1+m+n*(1+p)+q)*x**(n+q)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
284,0,0,0,0.000000," ","integrate((a+b/x)**n*x**m/(d*x+c),x)","\int \frac{x^{m} \left(a + \frac{b}{x}\right)^{n}}{c + d x}\, dx"," ",0,"Integral(x**m*(a + b/x)**n/(c + d*x), x)","F",0
285,0,0,0,0.000000," ","integrate((a+b/x)**n*x**2/(d*x+c),x)","\int \frac{x^{2} \left(a + \frac{b}{x}\right)^{n}}{c + d x}\, dx"," ",0,"Integral(x**2*(a + b/x)**n/(c + d*x), x)","F",0
286,0,0,0,0.000000," ","integrate((a+b/x)**n*x/(d*x+c),x)","\int \frac{x \left(a + \frac{b}{x}\right)^{n}}{c + d x}\, dx"," ",0,"Integral(x*(a + b/x)**n/(c + d*x), x)","F",0
287,0,0,0,0.000000," ","integrate((a+b/x)**n/(d*x+c),x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{c + d x}\, dx"," ",0,"Integral((a + b/x)**n/(c + d*x), x)","F",0
288,0,0,0,0.000000," ","integrate((a+b/x)**n/x/(d*x+c),x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{x \left(c + d x\right)}\, dx"," ",0,"Integral((a + b/x)**n/(x*(c + d*x)), x)","F",0
289,0,0,0,0.000000," ","integrate((a+b/x)**n/x**2/(d*x+c),x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{x^{2} \left(c + d x\right)}\, dx"," ",0,"Integral((a + b/x)**n/(x**2*(c + d*x)), x)","F",0
290,0,0,0,0.000000," ","integrate((a+b/x)**n/x**3/(d*x+c),x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{x^{3} \left(c + d x\right)}\, dx"," ",0,"Integral((a + b/x)**n/(x**3*(c + d*x)), x)","F",0
291,0,0,0,0.000000," ","integrate((a+b/x)**n/x**5/(d*x+c),x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{x^{5} \left(c + d x\right)}\, dx"," ",0,"Integral((a + b/x)**n/(x**5*(c + d*x)), x)","F",0
292,0,0,0,0.000000," ","integrate((a+b/x)**n*x**m/(d*x+c)**2,x)","\int \frac{x^{m} \left(a + \frac{b}{x}\right)^{n}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(x**m*(a + b/x)**n/(c + d*x)**2, x)","F",0
293,0,0,0,0.000000," ","integrate((a+b/x)**n*x**2/(d*x+c)**2,x)","\int \frac{x^{2} \left(a + \frac{b}{x}\right)^{n}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(x**2*(a + b/x)**n/(c + d*x)**2, x)","F",0
294,0,0,0,0.000000," ","integrate((a+b/x)**n*x/(d*x+c)**2,x)","\int \frac{x \left(a + \frac{b}{x}\right)^{n}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(x*(a + b/x)**n/(c + d*x)**2, x)","F",0
295,0,0,0,0.000000," ","integrate((a+b/x)**n/(d*x+c)**2,x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b/x)**n/(c + d*x)**2, x)","F",0
296,0,0,0,0.000000," ","integrate((a+b/x)**n/x/(d*x+c)**2,x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{x \left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b/x)**n/(x*(c + d*x)**2), x)","F",0
297,0,0,0,0.000000," ","integrate((a+b/x)**n/x**2/(d*x+c)**2,x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{x^{2} \left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b/x)**n/(x**2*(c + d*x)**2), x)","F",0
298,0,0,0,0.000000," ","integrate((a+b/x)**n/x**3/(d*x+c)**2,x)","\int \frac{\left(a + \frac{b}{x}\right)^{n}}{x^{3} \left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b/x)**n/(x**3*(c + d*x)**2), x)","F",0
