1,1,29,0,0.065814," ","integrate(x**2*(b*x**3+a)*(B*x**3+A),x)","\frac{A a x^{3}}{3} + \frac{B b x^{9}}{9} + x^{6} \left(\frac{A b}{6} + \frac{B a}{6}\right)"," ",0,"A*a*x**3/3 + B*b*x**9/9 + x**6*(A*b/6 + B*a/6)","A",0
2,1,29,0,0.067123," ","integrate(x*(b*x**3+a)*(B*x**3+A),x)","\frac{A a x^{2}}{2} + \frac{B b x^{8}}{8} + x^{5} \left(\frac{A b}{5} + \frac{B a}{5}\right)"," ",0,"A*a*x**2/2 + B*b*x**8/8 + x**5*(A*b/5 + B*a/5)","A",0
3,1,26,0,0.064425," ","integrate((b*x**3+a)*(B*x**3+A),x)","A a x + \frac{B b x^{7}}{7} + x^{4} \left(\frac{A b}{4} + \frac{B a}{4}\right)"," ",0,"A*a*x + B*b*x**7/7 + x**4*(A*b/4 + B*a/4)","A",0
4,1,27,0,0.112630," ","integrate((b*x**3+a)*(B*x**3+A)/x,x)","A a \log{\left(x \right)} + \frac{B b x^{6}}{6} + x^{3} \left(\frac{A b}{3} + \frac{B a}{3}\right)"," ",0,"A*a*log(x) + B*b*x**6/6 + x**3*(A*b/3 + B*a/3)","A",0
5,1,26,0,0.108368," ","integrate((b*x**3+a)*(B*x**3+A)/x**2,x)","- \frac{A a}{x} + \frac{B b x^{5}}{5} + x^{2} \left(\frac{A b}{2} + \frac{B a}{2}\right)"," ",0,"-A*a/x + B*b*x**5/5 + x**2*(A*b/2 + B*a/2)","A",0
6,1,24,0,0.115412," ","integrate((b*x**3+a)*(B*x**3+A)/x**3,x)","- \frac{A a}{2 x^{2}} + \frac{B b x^{4}}{4} + x \left(A b + B a\right)"," ",0,"-A*a/(2*x**2) + B*b*x**4/4 + x*(A*b + B*a)","A",0
7,1,26,0,0.210006," ","integrate((b*x**3+a)*(B*x**3+A)/x**4,x)","- \frac{A a}{3 x^{3}} + \frac{B b x^{3}}{3} + \left(A b + B a\right) \log{\left(x \right)}"," ",0,"-A*a/(3*x**3) + B*b*x**3/3 + (A*b + B*a)*log(x)","A",0
8,1,31,0,0.250067," ","integrate((b*x**3+a)*(B*x**3+A)/x**5,x)","\frac{B b x^{2}}{2} + \frac{- A a + x^{3} \left(- 4 A b - 4 B a\right)}{4 x^{4}}"," ",0,"B*b*x**2/2 + (-A*a + x**3*(-4*A*b - 4*B*a))/(4*x**4)","A",0
9,1,29,0,0.286724," ","integrate((b*x**3+a)*(B*x**3+A)/x**6,x)","B b x + \frac{- 2 A a + x^{3} \left(- 5 A b - 5 B a\right)}{10 x^{5}}"," ",0,"B*b*x + (-2*A*a + x**3*(-5*A*b - 5*B*a))/(10*x**5)","A",0
10,1,29,0,0.542086," ","integrate((b*x**3+a)*(B*x**3+A)/x**7,x)","B b \log{\left(x \right)} + \frac{- A a + x^{3} \left(- 2 A b - 2 B a\right)}{6 x^{6}}"," ",0,"B*b*log(x) + (-A*a + x**3*(-2*A*b - 2*B*a))/(6*x**6)","A",0
11,1,54,0,0.075585," ","integrate(x**2*(b*x**3+a)**2*(B*x**3+A),x)","\frac{A a^{2} x^{3}}{3} + \frac{B b^{2} x^{12}}{12} + x^{9} \left(\frac{A b^{2}}{9} + \frac{2 B a b}{9}\right) + x^{6} \left(\frac{A a b}{3} + \frac{B a^{2}}{6}\right)"," ",0,"A*a**2*x**3/3 + B*b**2*x**12/12 + x**9*(A*b**2/9 + 2*B*a*b/9) + x**6*(A*a*b/3 + B*a**2/6)","A",0
12,1,54,0,0.076030," ","integrate(x*(b*x**3+a)**2*(B*x**3+A),x)","\frac{A a^{2} x^{2}}{2} + \frac{B b^{2} x^{11}}{11} + x^{8} \left(\frac{A b^{2}}{8} + \frac{B a b}{4}\right) + x^{5} \left(\frac{2 A a b}{5} + \frac{B a^{2}}{5}\right)"," ",0,"A*a**2*x**2/2 + B*b**2*x**11/11 + x**8*(A*b**2/8 + B*a*b/4) + x**5*(2*A*a*b/5 + B*a**2/5)","A",0
13,1,51,0,0.075701," ","integrate((b*x**3+a)**2*(B*x**3+A),x)","A a^{2} x + \frac{B b^{2} x^{10}}{10} + x^{7} \left(\frac{A b^{2}}{7} + \frac{2 B a b}{7}\right) + x^{4} \left(\frac{A a b}{2} + \frac{B a^{2}}{4}\right)"," ",0,"A*a**2*x + B*b**2*x**10/10 + x**7*(A*b**2/7 + 2*B*a*b/7) + x**4*(A*a*b/2 + B*a**2/4)","A",0
14,1,53,0,0.145226," ","integrate((b*x**3+a)**2*(B*x**3+A)/x,x)","A a^{2} \log{\left(x \right)} + \frac{B b^{2} x^{9}}{9} + x^{6} \left(\frac{A b^{2}}{6} + \frac{B a b}{3}\right) + x^{3} \left(\frac{2 A a b}{3} + \frac{B a^{2}}{3}\right)"," ",0,"A*a**2*log(x) + B*b**2*x**9/9 + x**6*(A*b**2/6 + B*a*b/3) + x**3*(2*A*a*b/3 + B*a**2/3)","A",0
15,1,49,0,0.152803," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**2,x)","- \frac{A a^{2}}{x} + \frac{B b^{2} x^{8}}{8} + x^{5} \left(\frac{A b^{2}}{5} + \frac{2 B a b}{5}\right) + x^{2} \left(A a b + \frac{B a^{2}}{2}\right)"," ",0,"-A*a**2/x + B*b**2*x**8/8 + x**5*(A*b**2/5 + 2*B*a*b/5) + x**2*(A*a*b + B*a**2/2)","A",0
16,1,49,0,0.152462," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**3,x)","- \frac{A a^{2}}{2 x^{2}} + \frac{B b^{2} x^{7}}{7} + x^{4} \left(\frac{A b^{2}}{4} + \frac{B a b}{2}\right) + x \left(2 A a b + B a^{2}\right)"," ",0,"-A*a**2/(2*x**2) + B*b**2*x**7/7 + x**4*(A*b**2/4 + B*a*b/2) + x*(2*A*a*b + B*a**2)","A",0
17,1,51,0,0.272629," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**4,x)","- \frac{A a^{2}}{3 x^{3}} + \frac{B b^{2} x^{6}}{6} + a \left(2 A b + B a\right) \log{\left(x \right)} + x^{3} \left(\frac{A b^{2}}{3} + \frac{2 B a b}{3}\right)"," ",0,"-A*a**2/(3*x**3) + B*b**2*x**6/6 + a*(2*A*b + B*a)*log(x) + x**3*(A*b**2/3 + 2*B*a*b/3)","A",0
18,1,53,0,0.310277," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**5,x)","\frac{B b^{2} x^{5}}{5} + x^{2} \left(\frac{A b^{2}}{2} + B a b\right) + \frac{- A a^{2} + x^{3} \left(- 8 A a b - 4 B a^{2}\right)}{4 x^{4}}"," ",0,"B*b**2*x**5/5 + x**2*(A*b**2/2 + B*a*b) + (-A*a**2 + x**3*(-8*A*a*b - 4*B*a**2))/(4*x**4)","A",0
19,1,53,0,0.353811," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**6,x)","\frac{B b^{2} x^{4}}{4} + x \left(A b^{2} + 2 B a b\right) + \frac{- 2 A a^{2} + x^{3} \left(- 10 A a b - 5 B a^{2}\right)}{10 x^{5}}"," ",0,"B*b**2*x**4/4 + x*(A*b**2 + 2*B*a*b) + (-2*A*a**2 + x**3*(-10*A*a*b - 5*B*a**2))/(10*x**5)","A",0
20,1,51,0,0.756123," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**7,x)","\frac{B b^{2} x^{3}}{3} + b \left(A b + 2 B a\right) \log{\left(x \right)} + \frac{- A a^{2} + x^{3} \left(- 4 A a b - 2 B a^{2}\right)}{6 x^{6}}"," ",0,"B*b**2*x**3/3 + b*(A*b + 2*B*a)*log(x) + (-A*a**2 + x**3*(-4*A*a*b - 2*B*a**2))/(6*x**6)","A",0
21,1,58,0,0.873894," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**8,x)","\frac{B b^{2} x^{2}}{2} + \frac{- 4 A a^{2} + x^{6} \left(- 28 A b^{2} - 56 B a b\right) + x^{3} \left(- 14 A a b - 7 B a^{2}\right)}{28 x^{7}}"," ",0,"B*b**2*x**2/2 + (-4*A*a**2 + x**6*(-28*A*b**2 - 56*B*a*b) + x**3*(-14*A*a*b - 7*B*a**2))/(28*x**7)","A",0
22,1,54,0,0.985509," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**9,x)","B b^{2} x + \frac{- 5 A a^{2} + x^{6} \left(- 20 A b^{2} - 40 B a b\right) + x^{3} \left(- 16 A a b - 8 B a^{2}\right)}{40 x^{8}}"," ",0,"B*b**2*x + (-5*A*a**2 + x**6*(-20*A*b**2 - 40*B*a*b) + x**3*(-16*A*a*b - 8*B*a**2))/(40*x**8)","A",0
23,1,136,0,0.096099," ","integrate(x**9*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{10}}{10} + \frac{B b^{5} x^{28}}{28} + x^{25} \left(\frac{A b^{5}}{25} + \frac{B a b^{4}}{5}\right) + x^{22} \left(\frac{5 A a b^{4}}{22} + \frac{5 B a^{2} b^{3}}{11}\right) + x^{19} \left(\frac{10 A a^{2} b^{3}}{19} + \frac{10 B a^{3} b^{2}}{19}\right) + x^{16} \left(\frac{5 A a^{3} b^{2}}{8} + \frac{5 B a^{4} b}{16}\right) + x^{13} \left(\frac{5 A a^{4} b}{13} + \frac{B a^{5}}{13}\right)"," ",0,"A*a**5*x**10/10 + B*b**5*x**28/28 + x**25*(A*b**5/25 + B*a*b**4/5) + x**22*(5*A*a*b**4/22 + 5*B*a**2*b**3/11) + x**19*(10*A*a**2*b**3/19 + 10*B*a**3*b**2/19) + x**16*(5*A*a**3*b**2/8 + 5*B*a**4*b/16) + x**13*(5*A*a**4*b/13 + B*a**5/13)","A",0
24,1,136,0,0.095575," ","integrate(x**8*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{9}}{9} + \frac{B b^{5} x^{27}}{27} + x^{24} \left(\frac{A b^{5}}{24} + \frac{5 B a b^{4}}{24}\right) + x^{21} \left(\frac{5 A a b^{4}}{21} + \frac{10 B a^{2} b^{3}}{21}\right) + x^{18} \left(\frac{5 A a^{2} b^{3}}{9} + \frac{5 B a^{3} b^{2}}{9}\right) + x^{15} \left(\frac{2 A a^{3} b^{2}}{3} + \frac{B a^{4} b}{3}\right) + x^{12} \left(\frac{5 A a^{4} b}{12} + \frac{B a^{5}}{12}\right)"," ",0,"A*a**5*x**9/9 + B*b**5*x**27/27 + x**24*(A*b**5/24 + 5*B*a*b**4/24) + x**21*(5*A*a*b**4/21 + 10*B*a**2*b**3/21) + x**18*(5*A*a**2*b**3/9 + 5*B*a**3*b**2/9) + x**15*(2*A*a**3*b**2/3 + B*a**4*b/3) + x**12*(5*A*a**4*b/12 + B*a**5/12)","A",0
25,1,134,0,0.095601," ","integrate(x**7*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{8}}{8} + \frac{B b^{5} x^{26}}{26} + x^{23} \left(\frac{A b^{5}}{23} + \frac{5 B a b^{4}}{23}\right) + x^{20} \left(\frac{A a b^{4}}{4} + \frac{B a^{2} b^{3}}{2}\right) + x^{17} \left(\frac{10 A a^{2} b^{3}}{17} + \frac{10 B a^{3} b^{2}}{17}\right) + x^{14} \left(\frac{5 A a^{3} b^{2}}{7} + \frac{5 B a^{4} b}{14}\right) + x^{11} \left(\frac{5 A a^{4} b}{11} + \frac{B a^{5}}{11}\right)"," ",0,"A*a**5*x**8/8 + B*b**5*x**26/26 + x**23*(A*b**5/23 + 5*B*a*b**4/23) + x**20*(A*a*b**4/4 + B*a**2*b**3/2) + x**17*(10*A*a**2*b**3/17 + 10*B*a**3*b**2/17) + x**14*(5*A*a**3*b**2/7 + 5*B*a**4*b/14) + x**11*(5*A*a**4*b/11 + B*a**5/11)","A",0
26,1,136,0,0.095521," ","integrate(x**6*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{7}}{7} + \frac{B b^{5} x^{25}}{25} + x^{22} \left(\frac{A b^{5}}{22} + \frac{5 B a b^{4}}{22}\right) + x^{19} \left(\frac{5 A a b^{4}}{19} + \frac{10 B a^{2} b^{3}}{19}\right) + x^{16} \left(\frac{5 A a^{2} b^{3}}{8} + \frac{5 B a^{3} b^{2}}{8}\right) + x^{13} \left(\frac{10 A a^{3} b^{2}}{13} + \frac{5 B a^{4} b}{13}\right) + x^{10} \left(\frac{A a^{4} b}{2} + \frac{B a^{5}}{10}\right)"," ",0,"A*a**5*x**7/7 + B*b**5*x**25/25 + x**22*(A*b**5/22 + 5*B*a*b**4/22) + x**19*(5*A*a*b**4/19 + 10*B*a**2*b**3/19) + x**16*(5*A*a**2*b**3/8 + 5*B*a**3*b**2/8) + x**13*(10*A*a**3*b**2/13 + 5*B*a**4*b/13) + x**10*(A*a**4*b/2 + B*a**5/10)","A",0
27,1,138,0,0.099668," ","integrate(x**5*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{6}}{6} + \frac{B b^{5} x^{24}}{24} + x^{21} \left(\frac{A b^{5}}{21} + \frac{5 B a b^{4}}{21}\right) + x^{18} \left(\frac{5 A a b^{4}}{18} + \frac{5 B a^{2} b^{3}}{9}\right) + x^{15} \left(\frac{2 A a^{2} b^{3}}{3} + \frac{2 B a^{3} b^{2}}{3}\right) + x^{12} \left(\frac{5 A a^{3} b^{2}}{6} + \frac{5 B a^{4} b}{12}\right) + x^{9} \left(\frac{5 A a^{4} b}{9} + \frac{B a^{5}}{9}\right)"," ",0,"A*a**5*x**6/6 + B*b**5*x**24/24 + x**21*(A*b**5/21 + 5*B*a*b**4/21) + x**18*(5*A*a*b**4/18 + 5*B*a**2*b**3/9) + x**15*(2*A*a**2*b**3/3 + 2*B*a**3*b**2/3) + x**12*(5*A*a**3*b**2/6 + 5*B*a**4*b/12) + x**9*(5*A*a**4*b/9 + B*a**5/9)","B",0
28,1,136,0,0.098364," ","integrate(x**4*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{5}}{5} + \frac{B b^{5} x^{23}}{23} + x^{20} \left(\frac{A b^{5}}{20} + \frac{B a b^{4}}{4}\right) + x^{17} \left(\frac{5 A a b^{4}}{17} + \frac{10 B a^{2} b^{3}}{17}\right) + x^{14} \left(\frac{5 A a^{2} b^{3}}{7} + \frac{5 B a^{3} b^{2}}{7}\right) + x^{11} \left(\frac{10 A a^{3} b^{2}}{11} + \frac{5 B a^{4} b}{11}\right) + x^{8} \left(\frac{5 A a^{4} b}{8} + \frac{B a^{5}}{8}\right)"," ",0,"A*a**5*x**5/5 + B*b**5*x**23/23 + x**20*(A*b**5/20 + B*a*b**4/4) + x**17*(5*A*a*b**4/17 + 10*B*a**2*b**3/17) + x**14*(5*A*a**2*b**3/7 + 5*B*a**3*b**2/7) + x**11*(10*A*a**3*b**2/11 + 5*B*a**4*b/11) + x**8*(5*A*a**4*b/8 + B*a**5/8)","A",0
29,1,133,0,0.096345," ","integrate(x**3*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{4}}{4} + \frac{B b^{5} x^{22}}{22} + x^{19} \left(\frac{A b^{5}}{19} + \frac{5 B a b^{4}}{19}\right) + x^{16} \left(\frac{5 A a b^{4}}{16} + \frac{5 B a^{2} b^{3}}{8}\right) + x^{13} \left(\frac{10 A a^{2} b^{3}}{13} + \frac{10 B a^{3} b^{2}}{13}\right) + x^{10} \left(A a^{3} b^{2} + \frac{B a^{4} b}{2}\right) + x^{7} \left(\frac{5 A a^{4} b}{7} + \frac{B a^{5}}{7}\right)"," ",0,"A*a**5*x**4/4 + B*b**5*x**22/22 + x**19*(A*b**5/19 + 5*B*a*b**4/19) + x**16*(5*A*a*b**4/16 + 5*B*a**2*b**3/8) + x**13*(10*A*a**2*b**3/13 + 10*B*a**3*b**2/13) + x**10*(A*a**3*b**2 + B*a**4*b/2) + x**7*(5*A*a**4*b/7 + B*a**5/7)","A",0
30,1,136,0,0.095138," ","integrate(x**2*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{3}}{3} + \frac{B b^{5} x^{21}}{21} + x^{18} \left(\frac{A b^{5}}{18} + \frac{5 B a b^{4}}{18}\right) + x^{15} \left(\frac{A a b^{4}}{3} + \frac{2 B a^{2} b^{3}}{3}\right) + x^{12} \left(\frac{5 A a^{2} b^{3}}{6} + \frac{5 B a^{3} b^{2}}{6}\right) + x^{9} \left(\frac{10 A a^{3} b^{2}}{9} + \frac{5 B a^{4} b}{9}\right) + x^{6} \left(\frac{5 A a^{4} b}{6} + \frac{B a^{5}}{6}\right)"," ",0,"A*a**5*x**3/3 + B*b**5*x**21/21 + x**18*(A*b**5/18 + 5*B*a*b**4/18) + x**15*(A*a*b**4/3 + 2*B*a**2*b**3/3) + x**12*(5*A*a**2*b**3/6 + 5*B*a**3*b**2/6) + x**9*(10*A*a**3*b**2/9 + 5*B*a**4*b/9) + x**6*(5*A*a**4*b/6 + B*a**5/6)","B",0
31,1,134,0,0.094159," ","integrate(x*(b*x**3+a)**5*(B*x**3+A),x)","\frac{A a^{5} x^{2}}{2} + \frac{B b^{5} x^{20}}{20} + x^{17} \left(\frac{A b^{5}}{17} + \frac{5 B a b^{4}}{17}\right) + x^{14} \left(\frac{5 A a b^{4}}{14} + \frac{5 B a^{2} b^{3}}{7}\right) + x^{11} \left(\frac{10 A a^{2} b^{3}}{11} + \frac{10 B a^{3} b^{2}}{11}\right) + x^{8} \left(\frac{5 A a^{3} b^{2}}{4} + \frac{5 B a^{4} b}{8}\right) + x^{5} \left(A a^{4} b + \frac{B a^{5}}{5}\right)"," ",0,"A*a**5*x**2/2 + B*b**5*x**20/20 + x**17*(A*b**5/17 + 5*B*a*b**4/17) + x**14*(5*A*a*b**4/14 + 5*B*a**2*b**3/7) + x**11*(10*A*a**2*b**3/11 + 10*B*a**3*b**2/11) + x**8*(5*A*a**3*b**2/4 + 5*B*a**4*b/8) + x**5*(A*a**4*b + B*a**5/5)","A",0
32,1,128,0,0.093356," ","integrate((b*x**3+a)**5*(B*x**3+A),x)","A a^{5} x + \frac{B b^{5} x^{19}}{19} + x^{16} \left(\frac{A b^{5}}{16} + \frac{5 B a b^{4}}{16}\right) + x^{13} \left(\frac{5 A a b^{4}}{13} + \frac{10 B a^{2} b^{3}}{13}\right) + x^{10} \left(A a^{2} b^{3} + B a^{3} b^{2}\right) + x^{7} \left(\frac{10 A a^{3} b^{2}}{7} + \frac{5 B a^{4} b}{7}\right) + x^{4} \left(\frac{5 A a^{4} b}{4} + \frac{B a^{5}}{4}\right)"," ",0,"A*a**5*x + B*b**5*x**19/19 + x**16*(A*b**5/16 + 5*B*a*b**4/16) + x**13*(5*A*a*b**4/13 + 10*B*a**2*b**3/13) + x**10*(A*a**2*b**3 + B*a**3*b**2) + x**7*(10*A*a**3*b**2/7 + 5*B*a**4*b/7) + x**4*(5*A*a**4*b/4 + B*a**5/4)","A",0
33,1,134,0,0.242146," ","integrate((b*x**3+a)**5*(B*x**3+A)/x,x)","A a^{5} \log{\left(x \right)} + \frac{B b^{5} x^{18}}{18} + x^{15} \left(\frac{A b^{5}}{15} + \frac{B a b^{4}}{3}\right) + x^{12} \left(\frac{5 A a b^{4}}{12} + \frac{5 B a^{2} b^{3}}{6}\right) + x^{9} \left(\frac{10 A a^{2} b^{3}}{9} + \frac{10 B a^{3} b^{2}}{9}\right) + x^{6} \left(\frac{5 A a^{3} b^{2}}{3} + \frac{5 B a^{4} b}{6}\right) + x^{3} \left(\frac{5 A a^{4} b}{3} + \frac{B a^{5}}{3}\right)"," ",0,"A*a**5*log(x) + B*b**5*x**18/18 + x**15*(A*b**5/15 + B*a*b**4/3) + x**12*(5*A*a*b**4/12 + 5*B*a**2*b**3/6) + x**9*(10*A*a**2*b**3/9 + 10*B*a**3*b**2/9) + x**6*(5*A*a**3*b**2/3 + 5*B*a**4*b/6) + x**3*(5*A*a**4*b/3 + B*a**5/3)","A",0
34,1,129,0,0.247827," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**2,x)","- \frac{A a^{5}}{x} + \frac{B b^{5} x^{17}}{17} + x^{14} \left(\frac{A b^{5}}{14} + \frac{5 B a b^{4}}{14}\right) + x^{11} \left(\frac{5 A a b^{4}}{11} + \frac{10 B a^{2} b^{3}}{11}\right) + x^{8} \left(\frac{5 A a^{2} b^{3}}{4} + \frac{5 B a^{3} b^{2}}{4}\right) + x^{5} \left(2 A a^{3} b^{2} + B a^{4} b\right) + x^{2} \left(\frac{5 A a^{4} b}{2} + \frac{B a^{5}}{2}\right)"," ",0,"-A*a**5/x + B*b**5*x**17/17 + x**14*(A*b**5/14 + 5*B*a*b**4/14) + x**11*(5*A*a*b**4/11 + 10*B*a**2*b**3/11) + x**8*(5*A*a**2*b**3/4 + 5*B*a**3*b**2/4) + x**5*(2*A*a**3*b**2 + B*a**4*b) + x**2*(5*A*a**4*b/2 + B*a**5/2)","A",0
35,1,128,0,0.244376," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**3,x)","- \frac{A a^{5}}{2 x^{2}} + \frac{B b^{5} x^{16}}{16} + x^{13} \left(\frac{A b^{5}}{13} + \frac{5 B a b^{4}}{13}\right) + x^{10} \left(\frac{A a b^{4}}{2} + B a^{2} b^{3}\right) + x^{7} \left(\frac{10 A a^{2} b^{3}}{7} + \frac{10 B a^{3} b^{2}}{7}\right) + x^{4} \left(\frac{5 A a^{3} b^{2}}{2} + \frac{5 B a^{4} b}{4}\right) + x \left(5 A a^{4} b + B a^{5}\right)"," ",0,"-A*a**5/(2*x**2) + B*b**5*x**16/16 + x**13*(A*b**5/13 + 5*B*a*b**4/13) + x**10*(A*a*b**4/2 + B*a**2*b**3) + x**7*(10*A*a**2*b**3/7 + 10*B*a**3*b**2/7) + x**4*(5*A*a**3*b**2/2 + 5*B*a**4*b/4) + x*(5*A*a**4*b + B*a**5)","A",0
36,1,133,0,0.368134," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**4,x)","- \frac{A a^{5}}{3 x^{3}} + \frac{B b^{5} x^{15}}{15} + a^{4} \left(5 A b + B a\right) \log{\left(x \right)} + x^{12} \left(\frac{A b^{5}}{12} + \frac{5 B a b^{4}}{12}\right) + x^{9} \left(\frac{5 A a b^{4}}{9} + \frac{10 B a^{2} b^{3}}{9}\right) + x^{6} \left(\frac{5 A a^{2} b^{3}}{3} + \frac{5 B a^{3} b^{2}}{3}\right) + x^{3} \left(\frac{10 A a^{3} b^{2}}{3} + \frac{5 B a^{4} b}{3}\right)"," ",0,"-A*a**5/(3*x**3) + B*b**5*x**15/15 + a**4*(5*A*b + B*a)*log(x) + x**12*(A*b**5/12 + 5*B*a*b**4/12) + x**9*(5*A*a*b**4/9 + 10*B*a**2*b**3/9) + x**6*(5*A*a**2*b**3/3 + 5*B*a**3*b**2/3) + x**3*(10*A*a**3*b**2/3 + 5*B*a**4*b/3)","A",0
37,1,133,0,0.422096," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**5,x)","\frac{B b^{5} x^{14}}{14} + x^{11} \left(\frac{A b^{5}}{11} + \frac{5 B a b^{4}}{11}\right) + x^{8} \left(\frac{5 A a b^{4}}{8} + \frac{5 B a^{2} b^{3}}{4}\right) + x^{5} \left(2 A a^{2} b^{3} + 2 B a^{3} b^{2}\right) + x^{2} \left(5 A a^{3} b^{2} + \frac{5 B a^{4} b}{2}\right) + \frac{- A a^{5} + x^{3} \left(- 20 A a^{4} b - 4 B a^{5}\right)}{4 x^{4}}"," ",0,"B*b**5*x**14/14 + x**11*(A*b**5/11 + 5*B*a*b**4/11) + x**8*(5*A*a*b**4/8 + 5*B*a**2*b**3/4) + x**5*(2*A*a**2*b**3 + 2*B*a**3*b**2) + x**2*(5*A*a**3*b**2 + 5*B*a**4*b/2) + (-A*a**5 + x**3*(-20*A*a**4*b - 4*B*a**5))/(4*x**4)","A",0
38,1,133,0,0.477520," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**6,x)","\frac{B b^{5} x^{13}}{13} + x^{10} \left(\frac{A b^{5}}{10} + \frac{B a b^{4}}{2}\right) + x^{7} \left(\frac{5 A a b^{4}}{7} + \frac{10 B a^{2} b^{3}}{7}\right) + x^{4} \left(\frac{5 A a^{2} b^{3}}{2} + \frac{5 B a^{3} b^{2}}{2}\right) + x \left(10 A a^{3} b^{2} + 5 B a^{4} b\right) + \frac{- 2 A a^{5} + x^{3} \left(- 25 A a^{4} b - 5 B a^{5}\right)}{10 x^{5}}"," ",0,"B*b**5*x**13/13 + x**10*(A*b**5/10 + B*a*b**4/2) + x**7*(5*A*a*b**4/7 + 10*B*a**2*b**3/7) + x**4*(5*A*a**2*b**3/2 + 5*B*a**3*b**2/2) + x*(10*A*a**3*b**2 + 5*B*a**4*b) + (-2*A*a**5 + x**3*(-25*A*a**4*b - 5*B*a**5))/(10*x**5)","A",0
39,1,131,0,0.941103," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**7,x)","\frac{B b^{5} x^{12}}{12} + 5 a^{3} b \left(2 A b + B a\right) \log{\left(x \right)} + x^{9} \left(\frac{A b^{5}}{9} + \frac{5 B a b^{4}}{9}\right) + x^{6} \left(\frac{5 A a b^{4}}{6} + \frac{5 B a^{2} b^{3}}{3}\right) + x^{3} \left(\frac{10 A a^{2} b^{3}}{3} + \frac{10 B a^{3} b^{2}}{3}\right) + \frac{- A a^{5} + x^{3} \left(- 10 A a^{4} b - 2 B a^{5}\right)}{6 x^{6}}"," ",0,"B*b**5*x**12/12 + 5*a**3*b*(2*A*b + B*a)*log(x) + x**9*(A*b**5/9 + 5*B*a*b**4/9) + x**6*(5*A*a*b**4/6 + 5*B*a**2*b**3/3) + x**3*(10*A*a**2*b**3/3 + 10*B*a**3*b**2/3) + (-A*a**5 + x**3*(-10*A*a**4*b - 2*B*a**5))/(6*x**6)","A",0
40,1,129,0,1.117769," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**8,x)","\frac{B b^{5} x^{11}}{11} + x^{8} \left(\frac{A b^{5}}{8} + \frac{5 B a b^{4}}{8}\right) + x^{5} \left(A a b^{4} + 2 B a^{2} b^{3}\right) + x^{2} \left(5 A a^{2} b^{3} + 5 B a^{3} b^{2}\right) + \frac{- 4 A a^{5} + x^{6} \left(- 280 A a^{3} b^{2} - 140 B a^{4} b\right) + x^{3} \left(- 35 A a^{4} b - 7 B a^{5}\right)}{28 x^{7}}"," ",0,"B*b**5*x**11/11 + x**8*(A*b**5/8 + 5*B*a*b**4/8) + x**5*(A*a*b**4 + 2*B*a**2*b**3) + x**2*(5*A*a**2*b**3 + 5*B*a**3*b**2) + (-4*A*a**5 + x**6*(-280*A*a**3*b**2 - 140*B*a**4*b) + x**3*(-35*A*a**4*b - 7*B*a**5))/(28*x**7)","A",0
41,1,133,0,1.211073," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**9,x)","\frac{B b^{5} x^{10}}{10} + x^{7} \left(\frac{A b^{5}}{7} + \frac{5 B a b^{4}}{7}\right) + x^{4} \left(\frac{5 A a b^{4}}{4} + \frac{5 B a^{2} b^{3}}{2}\right) + x \left(10 A a^{2} b^{3} + 10 B a^{3} b^{2}\right) + \frac{- 5 A a^{5} + x^{6} \left(- 200 A a^{3} b^{2} - 100 B a^{4} b\right) + x^{3} \left(- 40 A a^{4} b - 8 B a^{5}\right)}{40 x^{8}}"," ",0,"B*b**5*x**10/10 + x**7*(A*b**5/7 + 5*B*a*b**4/7) + x**4*(5*A*a*b**4/4 + 5*B*a**2*b**3/2) + x*(10*A*a**2*b**3 + 10*B*a**3*b**2) + (-5*A*a**5 + x**6*(-200*A*a**3*b**2 - 100*B*a**4*b) + x**3*(-40*A*a**4*b - 8*B*a**5))/(40*x**8)","A",0
42,1,129,0,2.243632," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**10,x)","\frac{B b^{5} x^{9}}{9} + 10 a^{2} b^{2} \left(A b + B a\right) \log{\left(x \right)} + x^{6} \left(\frac{A b^{5}}{6} + \frac{5 B a b^{4}}{6}\right) + x^{3} \left(\frac{5 A a b^{4}}{3} + \frac{10 B a^{2} b^{3}}{3}\right) + \frac{- 2 A a^{5} + x^{6} \left(- 60 A a^{3} b^{2} - 30 B a^{4} b\right) + x^{3} \left(- 15 A a^{4} b - 3 B a^{5}\right)}{18 x^{9}}"," ",0,"B*b**5*x**9/9 + 10*a**2*b**2*(A*b + B*a)*log(x) + x**6*(A*b**5/6 + 5*B*a*b**4/6) + x**3*(5*A*a*b**4/3 + 10*B*a**2*b**3/3) + (-2*A*a**5 + x**6*(-60*A*a**3*b**2 - 30*B*a**4*b) + x**3*(-15*A*a**4*b - 3*B*a**5))/(18*x**9)","A",0
43,1,131,0,2.931414," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**11,x)","\frac{B b^{5} x^{8}}{8} + x^{5} \left(\frac{A b^{5}}{5} + B a b^{4}\right) + x^{2} \left(\frac{5 A a b^{4}}{2} + 5 B a^{2} b^{3}\right) + \frac{- 14 A a^{5} + x^{9} \left(- 1400 A a^{2} b^{3} - 1400 B a^{3} b^{2}\right) + x^{6} \left(- 350 A a^{3} b^{2} - 175 B a^{4} b\right) + x^{3} \left(- 100 A a^{4} b - 20 B a^{5}\right)}{140 x^{10}}"," ",0,"B*b**5*x**8/8 + x**5*(A*b**5/5 + B*a*b**4) + x**2*(5*A*a*b**4/2 + 5*B*a**2*b**3) + (-14*A*a**5 + x**9*(-1400*A*a**2*b**3 - 1400*B*a**3*b**2) + x**6*(-350*A*a**3*b**2 - 175*B*a**4*b) + x**3*(-100*A*a**4*b - 20*B*a**5))/(140*x**10)","A",0
44,1,131,0,3.726609," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**12,x)","\frac{B b^{5} x^{7}}{7} + x^{4} \left(\frac{A b^{5}}{4} + \frac{5 B a b^{4}}{4}\right) + x \left(5 A a b^{4} + 10 B a^{2} b^{3}\right) + \frac{- 8 A a^{5} + x^{9} \left(- 440 A a^{2} b^{3} - 440 B a^{3} b^{2}\right) + x^{6} \left(- 176 A a^{3} b^{2} - 88 B a^{4} b\right) + x^{3} \left(- 55 A a^{4} b - 11 B a^{5}\right)}{88 x^{11}}"," ",0,"B*b**5*x**7/7 + x**4*(A*b**5/4 + 5*B*a*b**4/4) + x*(5*A*a*b**4 + 10*B*a**2*b**3) + (-8*A*a**5 + x**9*(-440*A*a**2*b**3 - 440*B*a**3*b**2) + x**6*(-176*A*a**3*b**2 - 88*B*a**4*b) + x**3*(-55*A*a**4*b - 11*B*a**5))/(88*x**11)","A",0
45,1,129,0,6.644250," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**13,x)","\frac{B b^{5} x^{6}}{6} + 5 a b^{3} \left(A b + 2 B a\right) \log{\left(x \right)} + x^{3} \left(\frac{A b^{5}}{3} + \frac{5 B a b^{4}}{3}\right) + \frac{- 3 A a^{5} + x^{9} \left(- 120 A a^{2} b^{3} - 120 B a^{3} b^{2}\right) + x^{6} \left(- 60 A a^{3} b^{2} - 30 B a^{4} b\right) + x^{3} \left(- 20 A a^{4} b - 4 B a^{5}\right)}{36 x^{12}}"," ",0,"B*b**5*x**6/6 + 5*a*b**3*(A*b + 2*B*a)*log(x) + x**3*(A*b**5/3 + 5*B*a*b**4/3) + (-3*A*a**5 + x**9*(-120*A*a**2*b**3 - 120*B*a**3*b**2) + x**6*(-60*A*a**3*b**2 - 30*B*a**4*b) + x**3*(-20*A*a**4*b - 4*B*a**5))/(36*x**12)","A",0
46,1,134,0,10.764847," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**14,x)","\frac{B b^{5} x^{5}}{5} + x^{2} \left(\frac{A b^{5}}{2} + \frac{5 B a b^{4}}{2}\right) + \frac{- 70 A a^{5} + x^{12} \left(- 4550 A a b^{4} - 9100 B a^{2} b^{3}\right) + x^{9} \left(- 2275 A a^{2} b^{3} - 2275 B a^{3} b^{2}\right) + x^{6} \left(- 1300 A a^{3} b^{2} - 650 B a^{4} b\right) + x^{3} \left(- 455 A a^{4} b - 91 B a^{5}\right)}{910 x^{13}}"," ",0,"B*b**5*x**5/5 + x**2*(A*b**5/2 + 5*B*a*b**4/2) + (-70*A*a**5 + x**12*(-4550*A*a*b**4 - 9100*B*a**2*b**3) + x**9*(-2275*A*a**2*b**3 - 2275*B*a**3*b**2) + x**6*(-1300*A*a**3*b**2 - 650*B*a**4*b) + x**3*(-455*A*a**4*b - 91*B*a**5))/(910*x**13)","A",0
47,1,129,0,22.982823," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**15,x)","\frac{B b^{5} x^{4}}{4} + x \left(A b^{5} + 5 B a b^{4}\right) + \frac{- 44 A a^{5} + x^{12} \left(- 1540 A a b^{4} - 3080 B a^{2} b^{3}\right) + x^{9} \left(- 1232 A a^{2} b^{3} - 1232 B a^{3} b^{2}\right) + x^{6} \left(- 770 A a^{3} b^{2} - 385 B a^{4} b\right) + x^{3} \left(- 280 A a^{4} b - 56 B a^{5}\right)}{616 x^{14}}"," ",0,"B*b**5*x**4/4 + x*(A*b**5 + 5*B*a*b**4) + (-44*A*a**5 + x**12*(-1540*A*a*b**4 - 3080*B*a**2*b**3) + x**9*(-1232*A*a**2*b**3 - 1232*B*a**3*b**2) + x**6*(-770*A*a**3*b**2 - 385*B*a**4*b) + x**3*(-280*A*a**4*b - 56*B*a**5))/(616*x**14)","A",0
48,1,129,0,29.300642," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**16,x)","\frac{B b^{5} x^{3}}{3} + b^{4} \left(A b + 5 B a\right) \log{\left(x \right)} + \frac{- 12 A a^{5} + x^{12} \left(- 300 A a b^{4} - 600 B a^{2} b^{3}\right) + x^{9} \left(- 300 A a^{2} b^{3} - 300 B a^{3} b^{2}\right) + x^{6} \left(- 200 A a^{3} b^{2} - 100 B a^{4} b\right) + x^{3} \left(- 75 A a^{4} b - 15 B a^{5}\right)}{180 x^{15}}"," ",0,"B*b**5*x**3/3 + b**4*(A*b + 5*B*a)*log(x) + (-12*A*a**5 + x**12*(-300*A*a*b**4 - 600*B*a**2*b**3) + x**9*(-300*A*a**2*b**3 - 300*B*a**3*b**2) + x**6*(-200*A*a**3*b**2 - 100*B*a**4*b) + x**3*(-75*A*a**4*b - 15*B*a**5))/(180*x**15)","A",0
49,1,134,0,66.091872," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**17,x)","\frac{B b^{5} x^{2}}{2} + \frac{- 91 A a^{5} + x^{15} \left(- 1456 A b^{5} - 7280 B a b^{4}\right) + x^{12} \left(- 1820 A a b^{4} - 3640 B a^{2} b^{3}\right) + x^{9} \left(- 2080 A a^{2} b^{3} - 2080 B a^{3} b^{2}\right) + x^{6} \left(- 1456 A a^{3} b^{2} - 728 B a^{4} b\right) + x^{3} \left(- 560 A a^{4} b - 112 B a^{5}\right)}{1456 x^{16}}"," ",0,"B*b**5*x**2/2 + (-91*A*a**5 + x**15*(-1456*A*b**5 - 7280*B*a*b**4) + x**12*(-1820*A*a*b**4 - 3640*B*a**2*b**3) + x**9*(-2080*A*a**2*b**3 - 2080*B*a**3*b**2) + x**6*(-1456*A*a**3*b**2 - 728*B*a**4*b) + x**3*(-560*A*a**4*b - 112*B*a**5))/(1456*x**16)","A",0
50,-1,0,0,0.000000," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**18,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**19,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,-1,0,0,0.000000," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**20,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**21,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**22,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate((b*x**3+a)**5*(B*x**3+A)/x**23,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,1,114,0,1.372490," ","integrate(x**6*(B*x**3+A)/(b*x**3+a),x)","\frac{B x^{7}}{7 b} + x^{4} \left(\frac{A}{4 b} - \frac{B a}{4 b^{2}}\right) + x \left(- \frac{A a}{b^{2}} + \frac{B a^{2}}{b^{3}}\right) + \operatorname{RootSum} {\left(27 t^{3} b^{10} - A^{3} a^{4} b^{3} + 3 A^{2} B a^{5} b^{2} - 3 A B^{2} a^{6} b + B^{3} a^{7}, \left( t \mapsto t \log{\left(- \frac{3 t b^{3}}{- A a b + B a^{2}} + x \right)} \right)\right)}"," ",0,"B*x**7/(7*b) + x**4*(A/(4*b) - B*a/(4*b**2)) + x*(-A*a/b**2 + B*a**2/b**3) + RootSum(27*_t**3*b**10 - A**3*a**4*b**3 + 3*A**2*B*a**5*b**2 - 3*A*B**2*a**6*b + B**3*a**7, Lambda(_t, _t*log(-3*_t*b**3/(-A*a*b + B*a**2) + x)))","A",0
57,1,46,0,0.959859," ","integrate(x**5*(B*x**3+A)/(b*x**3+a),x)","\frac{B x^{6}}{6 b} + \frac{a \left(- A b + B a\right) \log{\left(a + b x^{3} \right)}}{3 b^{3}} + x^{3} \left(\frac{A}{3 b} - \frac{B a}{3 b^{2}}\right)"," ",0,"B*x**6/(6*b) + a*(-A*b + B*a)*log(a + b*x**3)/(3*b**3) + x**3*(A/(3*b) - B*a/(3*b**2))","A",0
58,1,114,0,0.872353," ","integrate(x**4*(B*x**3+A)/(b*x**3+a),x)","\frac{B x^{5}}{5 b} + x^{2} \left(\frac{A}{2 b} - \frac{B a}{2 b^{2}}\right) + \operatorname{RootSum} {\left(27 t^{3} b^{8} - A^{3} a^{2} b^{3} + 3 A^{2} B a^{3} b^{2} - 3 A B^{2} a^{4} b + B^{3} a^{5}, \left( t \mapsto t \log{\left(\frac{9 t^{2} b^{5}}{A^{2} a b^{2} - 2 A B a^{2} b + B^{2} a^{3}} + x \right)} \right)\right)}"," ",0,"B*x**5/(5*b) + x**2*(A/(2*b) - B*a/(2*b**2)) + RootSum(27*_t**3*b**8 - A**3*a**2*b**3 + 3*A**2*B*a**3*b**2 - 3*A*B**2*a**4*b + B**3*a**5, Lambda(_t, _t*log(9*_t**2*b**5/(A**2*a*b**2 - 2*A*B*a**2*b + B**2*a**3) + x)))","A",0
59,1,87,0,1.147243," ","integrate(x**3*(B*x**3+A)/(b*x**3+a),x)","\frac{B x^{4}}{4 b} + x \left(\frac{A}{b} - \frac{B a}{b^{2}}\right) + \operatorname{RootSum} {\left(27 t^{3} b^{7} + A^{3} a b^{3} - 3 A^{2} B a^{2} b^{2} + 3 A B^{2} a^{3} b - B^{3} a^{4}, \left( t \mapsto t \log{\left(\frac{3 t b^{2}}{- A b + B a} + x \right)} \right)\right)}"," ",0,"B*x**4/(4*b) + x*(A/b - B*a/b**2) + RootSum(27*_t**3*b**7 + A**3*a*b**3 - 3*A**2*B*a**2*b**2 + 3*A*B**2*a**3*b - B**3*a**4, Lambda(_t, _t*log(3*_t*b**2/(-A*b + B*a) + x)))","A",0
60,1,27,0,0.882907," ","integrate(x**2*(B*x**3+A)/(b*x**3+a),x)","\frac{B x^{3}}{3 b} - \frac{\left(- A b + B a\right) \log{\left(a + b x^{3} \right)}}{3 b^{2}}"," ",0,"B*x**3/(3*b) - (-A*b + B*a)*log(a + b*x**3)/(3*b**2)","A",0
61,1,92,0,1.105715," ","integrate(x*(B*x**3+A)/(b*x**3+a),x)","\frac{B x^{2}}{2 b} + \operatorname{RootSum} {\left(27 t^{3} a b^{5} + A^{3} b^{3} - 3 A^{2} B a b^{2} + 3 A B^{2} a^{2} b - B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{9 t^{2} a b^{3}}{A^{2} b^{2} - 2 A B a b + B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"B*x**2/(2*b) + RootSum(27*_t**3*a*b**5 + A**3*b**3 - 3*A**2*B*a*b**2 + 3*A*B**2*a**2*b - B**3*a**3, Lambda(_t, _t*log(9*_t**2*a*b**3/(A**2*b**2 - 2*A*B*a*b + B**2*a**2) + x)))","A",0
62,1,71,0,1.016014," ","integrate((B*x**3+A)/(b*x**3+a),x)","\frac{B x}{b} + \operatorname{RootSum} {\left(27 t^{3} a^{2} b^{4} - A^{3} b^{3} + 3 A^{2} B a b^{2} - 3 A B^{2} a^{2} b + B^{3} a^{3}, \left( t \mapsto t \log{\left(- \frac{3 t a b}{- A b + B a} + x \right)} \right)\right)}"," ",0,"B*x/b + RootSum(27*_t**3*a**2*b**4 - A**3*b**3 + 3*A**2*B*a*b**2 - 3*A*B**2*a**2*b + B**3*a**3, Lambda(_t, _t*log(-3*_t*a*b/(-A*b + B*a) + x)))","A",0
63,1,26,0,2.116002," ","integrate((B*x**3+A)/x/(b*x**3+a),x)","\frac{A \log{\left(x \right)}}{a} + \frac{\left(- A b + B a\right) \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a b}"," ",0,"A*log(x)/a + (-A*b + B*a)*log(a/b + x**3)/(3*a*b)","A",0
64,1,90,0,0.939760," ","integrate((B*x**3+A)/x**2/(b*x**3+a),x)","- \frac{A}{a x} + \operatorname{RootSum} {\left(27 t^{3} a^{4} b^{2} - A^{3} b^{3} + 3 A^{2} B a b^{2} - 3 A B^{2} a^{2} b + B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{9 t^{2} a^{3} b}{A^{2} b^{2} - 2 A B a b + B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"-A/(a*x) + RootSum(27*_t**3*a**4*b**2 - A**3*b**3 + 3*A**2*B*a*b**2 - 3*A*B**2*a**2*b + B**3*a**3, Lambda(_t, _t*log(9*_t**2*a**3*b/(A**2*b**2 - 2*A*B*a*b + B**2*a**2) + x)))","A",0
65,1,73,0,1.232295," ","integrate((B*x**3+A)/x**3/(b*x**3+a),x)","- \frac{A}{2 a x^{2}} + \operatorname{RootSum} {\left(27 t^{3} a^{5} b + A^{3} b^{3} - 3 A^{2} B a b^{2} + 3 A B^{2} a^{2} b - B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{3 t a^{2}}{- A b + B a} + x \right)} \right)\right)}"," ",0,"-A/(2*a*x**2) + RootSum(27*_t**3*a**5*b + A**3*b**3 - 3*A**2*B*a*b**2 + 3*A*B**2*a**2*b - B**3*a**3, Lambda(_t, _t*log(3*_t*a**2/(-A*b + B*a) + x)))","A",0
66,1,41,0,2.359915," ","integrate((B*x**3+A)/x**4/(b*x**3+a),x)","- \frac{A}{3 a x^{3}} + \frac{\left(- A b + B a\right) \log{\left(x \right)}}{a^{2}} - \frac{\left(- A b + B a\right) \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a^{2}}"," ",0,"-A/(3*a*x**3) + (-A*b + B*a)*log(x)/a**2 - (-A*b + B*a)*log(a/b + x**3)/(3*a**2)","A",0
67,1,112,0,0.960849," ","integrate((B*x**3+A)/x**5/(b*x**3+a),x)","\operatorname{RootSum} {\left(27 t^{3} a^{7} + A^{3} b^{4} - 3 A^{2} B a b^{3} + 3 A B^{2} a^{2} b^{2} - B^{3} a^{3} b, \left( t \mapsto t \log{\left(\frac{9 t^{2} a^{5}}{A^{2} b^{3} - 2 A B a b^{2} + B^{2} a^{2} b} + x \right)} \right)\right)} + \frac{- A a + x^{3} \left(4 A b - 4 B a\right)}{4 a^{2} x^{4}}"," ",0,"RootSum(27*_t**3*a**7 + A**3*b**4 - 3*A**2*B*a*b**3 + 3*A*B**2*a**2*b**2 - B**3*a**3*b, Lambda(_t, _t*log(9*_t**2*a**5/(A**2*b**3 - 2*A*B*a*b**2 + B**2*a**2*b) + x))) + (-A*a + x**3*(4*A*b - 4*B*a))/(4*a**2*x**4)","A",0
68,1,99,0,0.931586," ","integrate((B*x**3+A)/x**6/(b*x**3+a),x)","\operatorname{RootSum} {\left(27 t^{3} a^{8} - A^{3} b^{5} + 3 A^{2} B a b^{4} - 3 A B^{2} a^{2} b^{3} + B^{3} a^{3} b^{2}, \left( t \mapsto t \log{\left(- \frac{3 t a^{3}}{- A b^{2} + B a b} + x \right)} \right)\right)} + \frac{- 2 A a + x^{3} \left(5 A b - 5 B a\right)}{10 a^{2} x^{5}}"," ",0,"RootSum(27*_t**3*a**8 - A**3*b**5 + 3*A**2*B*a*b**4 - 3*A*B**2*a**2*b**3 + B**3*a**3*b**2, Lambda(_t, _t*log(-3*_t*a**3/(-A*b**2 + B*a*b) + x))) + (-2*A*a + x**3*(5*A*b - 5*B*a))/(10*a**2*x**5)","A",0
69,1,61,0,2.688308," ","integrate((B*x**3+A)/x**7/(b*x**3+a),x)","\frac{- A a + x^{3} \left(2 A b - 2 B a\right)}{6 a^{2} x^{6}} - \frac{b \left(- A b + B a\right) \log{\left(x \right)}}{a^{3}} + \frac{b \left(- A b + B a\right) \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a^{3}}"," ",0,"(-A*a + x**3*(2*A*b - 2*B*a))/(6*a**2*x**6) - b*(-A*b + B*a)*log(x)/a**3 + b*(-A*b + B*a)*log(a/b + x**3)/(3*a**3)","A",0
70,1,139,0,1.134515," ","integrate((B*x**3+A)/x**8/(b*x**3+a),x)","\operatorname{RootSum} {\left(27 t^{3} a^{10} - A^{3} b^{7} + 3 A^{2} B a b^{6} - 3 A B^{2} a^{2} b^{5} + B^{3} a^{3} b^{4}, \left( t \mapsto t \log{\left(\frac{9 t^{2} a^{7}}{A^{2} b^{5} - 2 A B a b^{4} + B^{2} a^{2} b^{3}} + x \right)} \right)\right)} + \frac{- 4 A a^{2} + x^{6} \left(- 28 A b^{2} + 28 B a b\right) + x^{3} \left(7 A a b - 7 B a^{2}\right)}{28 a^{3} x^{7}}"," ",0,"RootSum(27*_t**3*a**10 - A**3*b**7 + 3*A**2*B*a*b**6 - 3*A*B**2*a**2*b**5 + B**3*a**3*b**4, Lambda(_t, _t*log(9*_t**2*a**7/(A**2*b**5 - 2*A*B*a*b**4 + B**2*a**2*b**3) + x))) + (-4*A*a**2 + x**6*(-28*A*b**2 + 28*B*a*b) + x**3*(7*A*a*b - 7*B*a**2))/(28*a**3*x**7)","A",0
71,1,156,0,2.115659," ","integrate(x**9*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B x^{7}}{7 b^{2}} + x^{4} \left(\frac{A}{4 b^{2}} - \frac{B a}{2 b^{3}}\right) + x \left(- \frac{2 A a}{b^{3}} + \frac{3 B a^{2}}{b^{4}}\right) + \frac{x \left(- A a^{2} b + B a^{3}\right)}{3 a b^{4} + 3 b^{5} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} b^{13} - 343 A^{3} a^{4} b^{3} + 1470 A^{2} B a^{5} b^{2} - 2100 A B^{2} a^{6} b + 1000 B^{3} a^{7}, \left( t \mapsto t \log{\left(- \frac{9 t b^{4}}{- 7 A a b + 10 B a^{2}} + x \right)} \right)\right)}"," ",0,"B*x**7/(7*b**2) + x**4*(A/(4*b**2) - B*a/(2*b**3)) + x*(-2*A*a/b**3 + 3*B*a**2/b**4) + x*(-A*a**2*b + B*a**3)/(3*a*b**4 + 3*b**5*x**3) + RootSum(729*_t**3*b**13 - 343*A**3*a**4*b**3 + 1470*A**2*B*a**5*b**2 - 2100*A*B**2*a**6*b + 1000*B**3*a**7, Lambda(_t, _t*log(-9*_t*b**4/(-7*A*a*b + 10*B*a**2) + x)))","A",0
72,1,82,0,2.142676," ","integrate(x**8*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B x^{6}}{6 b^{2}} + \frac{a \left(- 2 A b + 3 B a\right) \log{\left(a + b x^{3} \right)}}{3 b^{4}} + x^{3} \left(\frac{A}{3 b^{2}} - \frac{2 B a}{3 b^{3}}\right) + \frac{- A a^{2} b + B a^{3}}{3 a b^{4} + 3 b^{5} x^{3}}"," ",0,"B*x**6/(6*b**2) + a*(-2*A*b + 3*B*a)*log(a + b*x**3)/(3*b**4) + x**3*(A/(3*b**2) - 2*B*a/(3*b**3)) + (-A*a**2*b + B*a**3)/(3*a*b**4 + 3*b**5*x**3)","A",0
73,1,151,0,2.120413," ","integrate(x**7*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B x^{5}}{5 b^{2}} + x^{2} \left(\frac{A}{2 b^{2}} - \frac{B a}{b^{3}}\right) + \frac{x^{2} \left(A a b - B a^{2}\right)}{3 a b^{3} + 3 b^{4} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} b^{11} - 125 A^{3} a^{2} b^{3} + 600 A^{2} B a^{3} b^{2} - 960 A B^{2} a^{4} b + 512 B^{3} a^{5}, \left( t \mapsto t \log{\left(\frac{81 t^{2} b^{7}}{25 A^{2} a b^{2} - 80 A B a^{2} b + 64 B^{2} a^{3}} + x \right)} \right)\right)}"," ",0,"B*x**5/(5*b**2) + x**2*(A/(2*b**2) - B*a/b**3) + x**2*(A*a*b - B*a**2)/(3*a*b**3 + 3*b**4*x**3) + RootSum(729*_t**3*b**11 - 125*A**3*a**2*b**3 + 600*A**2*B*a**3*b**2 - 960*A*B**2*a**4*b + 512*B**3*a**5, Lambda(_t, _t*log(81*_t**2*b**7/(25*A**2*a*b**2 - 80*A*B*a**2*b + 64*B**2*a**3) + x)))","A",0
74,1,126,0,2.535838," ","integrate(x**6*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B x^{4}}{4 b^{2}} + x \left(\frac{A}{b^{2}} - \frac{2 B a}{b^{3}}\right) + \frac{x \left(A a b - B a^{2}\right)}{3 a b^{3} + 3 b^{4} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} b^{10} + 64 A^{3} a b^{3} - 336 A^{2} B a^{2} b^{2} + 588 A B^{2} a^{3} b - 343 B^{3} a^{4}, \left( t \mapsto t \log{\left(\frac{9 t b^{3}}{- 4 A b + 7 B a} + x \right)} \right)\right)}"," ",0,"B*x**4/(4*b**2) + x*(A/b**2 - 2*B*a/b**3) + x*(A*a*b - B*a**2)/(3*a*b**3 + 3*b**4*x**3) + RootSum(729*_t**3*b**10 + 64*A**3*a*b**3 - 336*A**2*B*a**2*b**2 + 588*A*B**2*a**3*b - 343*B**3*a**4, Lambda(_t, _t*log(9*_t*b**3/(-4*A*b + 7*B*a) + x)))","A",0
75,1,56,0,1.607703," ","integrate(x**5*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B x^{3}}{3 b^{2}} + \frac{A a b - B a^{2}}{3 a b^{3} + 3 b^{4} x^{3}} - \frac{\left(- A b + 2 B a\right) \log{\left(a + b x^{3} \right)}}{3 b^{3}}"," ",0,"B*x**3/(3*b**2) + (A*a*b - B*a**2)/(3*a*b**3 + 3*b**4*x**3) - (-A*b + 2*B*a)*log(a + b*x**3)/(3*b**3)","A",0
76,1,126,0,2.092510," ","integrate(x**4*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B x^{2}}{2 b^{2}} + \frac{x^{2} \left(- A b + B a\right)}{3 a b^{2} + 3 b^{3} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} a b^{8} + 8 A^{3} b^{3} - 60 A^{2} B a b^{2} + 150 A B^{2} a^{2} b - 125 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{81 t^{2} a b^{5}}{4 A^{2} b^{2} - 20 A B a b + 25 B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"B*x**2/(2*b**2) + x**2*(-A*b + B*a)/(3*a*b**2 + 3*b**3*x**3) + RootSum(729*_t**3*a*b**8 + 8*A**3*b**3 - 60*A**2*B*a*b**2 + 150*A*B**2*a**2*b - 125*B**3*a**3, Lambda(_t, _t*log(81*_t**2*a*b**5/(4*A**2*b**2 - 20*A*B*a*b + 25*B**2*a**2) + x)))","A",0
77,1,102,0,1.668209," ","integrate(x**3*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B x}{b^{2}} + \frac{x \left(- A b + B a\right)}{3 a b^{2} + 3 b^{3} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} a^{2} b^{7} - A^{3} b^{3} + 12 A^{2} B a b^{2} - 48 A B^{2} a^{2} b + 64 B^{3} a^{3}, \left( t \mapsto t \log{\left(- \frac{9 t a b^{2}}{- A b + 4 B a} + x \right)} \right)\right)}"," ",0,"B*x/b**2 + x*(-A*b + B*a)/(3*a*b**2 + 3*b**3*x**3) + RootSum(729*_t**3*a**2*b**7 - A**3*b**3 + 12*A**2*B*a*b**2 - 48*A*B**2*a**2*b + 64*B**3*a**3, Lambda(_t, _t*log(-9*_t*a*b**2/(-A*b + 4*B*a) + x)))","A",0
78,1,36,0,1.225069," ","integrate(x**2*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{B \log{\left(a + b x^{3} \right)}}{3 b^{2}} + \frac{- A b + B a}{3 a b^{2} + 3 b^{3} x^{3}}"," ",0,"B*log(a + b*x**3)/(3*b**2) + (-A*b + B*a)/(3*a*b**2 + 3*b**3*x**3)","A",0
79,1,117,0,1.481795," ","integrate(x*(B*x**3+A)/(b*x**3+a)**2,x)","\frac{x^{2} \left(A b - B a\right)}{3 a^{2} b + 3 a b^{2} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} a^{4} b^{5} + A^{3} b^{3} + 6 A^{2} B a b^{2} + 12 A B^{2} a^{2} b + 8 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{81 t^{2} a^{3} b^{3}}{A^{2} b^{2} + 4 A B a b + 4 B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"x**2*(A*b - B*a)/(3*a**2*b + 3*a*b**2*x**3) + RootSum(729*_t**3*a**4*b**5 + A**3*b**3 + 6*A**2*B*a*b**2 + 12*A*B**2*a**2*b + 8*B**3*a**3, Lambda(_t, _t*log(81*_t**2*a**3*b**3/(A**2*b**2 + 4*A*B*a*b + 4*B**2*a**2) + x)))","A",0
80,1,97,0,1.433752," ","integrate((B*x**3+A)/(b*x**3+a)**2,x)","\frac{x \left(A b - B a\right)}{3 a^{2} b + 3 a b^{2} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} a^{5} b^{4} - 8 A^{3} b^{3} - 12 A^{2} B a b^{2} - 6 A B^{2} a^{2} b - B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{9 t a^{2} b}{2 A b + B a} + x \right)} \right)\right)}"," ",0,"x*(A*b - B*a)/(3*a**2*b + 3*a*b**2*x**3) + RootSum(729*_t**3*a**5*b**4 - 8*A**3*b**3 - 12*A**2*B*a*b**2 - 6*A*B**2*a**2*b - B**3*a**3, Lambda(_t, _t*log(9*_t*a**2*b/(2*A*b + B*a) + x)))","A",0
81,1,46,0,1.162261," ","integrate((B*x**3+A)/x/(b*x**3+a)**2,x)","\frac{A \log{\left(x \right)}}{a^{2}} - \frac{A \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a^{2}} + \frac{A b - B a}{3 a^{2} b + 3 a b^{2} x^{3}}"," ",0,"A*log(x)/a**2 - A*log(a/b + x**3)/(3*a**2) + (A*b - B*a)/(3*a**2*b + 3*a*b**2*x**3)","A",0
82,1,122,0,1.417436," ","integrate((B*x**3+A)/x**2/(b*x**3+a)**2,x)","\frac{- 3 A a + x^{3} \left(- 4 A b + B a\right)}{3 a^{3} x + 3 a^{2} b x^{4}} + \operatorname{RootSum} {\left(729 t^{3} a^{7} b^{2} - 64 A^{3} b^{3} + 48 A^{2} B a b^{2} - 12 A B^{2} a^{2} b + B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{81 t^{2} a^{5} b}{16 A^{2} b^{2} - 8 A B a b + B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"(-3*A*a + x**3*(-4*A*b + B*a))/(3*a**3*x + 3*a**2*b*x**4) + RootSum(729*_t**3*a**7*b**2 - 64*A**3*b**3 + 48*A**2*B*a*b**2 - 12*A*B**2*a**2*b + B**3*a**3, Lambda(_t, _t*log(81*_t**2*a**5*b/(16*A**2*b**2 - 8*A*B*a*b + B**2*a**2) + x)))","A",0
83,1,109,0,1.927082," ","integrate((B*x**3+A)/x**3/(b*x**3+a)**2,x)","\frac{- 3 A a + x^{3} \left(- 5 A b + 2 B a\right)}{6 a^{3} x^{2} + 6 a^{2} b x^{5}} + \operatorname{RootSum} {\left(729 t^{3} a^{8} b + 125 A^{3} b^{3} - 150 A^{2} B a b^{2} + 60 A B^{2} a^{2} b - 8 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{9 t a^{3}}{- 5 A b + 2 B a} + x \right)} \right)\right)}"," ",0,"(-3*A*a + x**3*(-5*A*b + 2*B*a))/(6*a**3*x**2 + 6*a**2*b*x**5) + RootSum(729*_t**3*a**8*b + 125*A**3*b**3 - 150*A**2*B*a*b**2 + 60*A*B**2*a**2*b - 8*B**3*a**3, Lambda(_t, _t*log(9*_t*a**3/(-5*A*b + 2*B*a) + x)))","A",0
84,1,70,0,1.444257," ","integrate((B*x**3+A)/x**4/(b*x**3+a)**2,x)","\frac{- A a + x^{3} \left(- 2 A b + B a\right)}{3 a^{3} x^{3} + 3 a^{2} b x^{6}} + \frac{\left(- 2 A b + B a\right) \log{\left(x \right)}}{a^{3}} - \frac{\left(- 2 A b + B a\right) \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a^{3}}"," ",0,"(-A*a + x**3*(-2*A*b + B*a))/(3*a**3*x**3 + 3*a**2*b*x**6) + (-2*A*b + B*a)*log(x)/a**3 - (-2*A*b + B*a)*log(a/b + x**3)/(3*a**3)","A",0
85,1,153,0,2.323560," ","integrate((B*x**3+A)/x**5/(b*x**3+a)**2,x)","\operatorname{RootSum} {\left(729 t^{3} a^{10} + 343 A^{3} b^{4} - 588 A^{2} B a b^{3} + 336 A B^{2} a^{2} b^{2} - 64 B^{3} a^{3} b, \left( t \mapsto t \log{\left(\frac{81 t^{2} a^{7}}{49 A^{2} b^{3} - 56 A B a b^{2} + 16 B^{2} a^{2} b} + x \right)} \right)\right)} + \frac{- 3 A a^{2} + x^{6} \left(28 A b^{2} - 16 B a b\right) + x^{3} \left(21 A a b - 12 B a^{2}\right)}{12 a^{4} x^{4} + 12 a^{3} b x^{7}}"," ",0,"RootSum(729*_t**3*a**10 + 343*A**3*b**4 - 588*A**2*B*a*b**3 + 336*A*B**2*a**2*b**2 - 64*B**3*a**3*b, Lambda(_t, _t*log(81*_t**2*a**7/(49*A**2*b**3 - 56*A*B*a*b**2 + 16*B**2*a**2*b) + x))) + (-3*A*a**2 + x**6*(28*A*b**2 - 16*B*a*b) + x**3*(21*A*a*b - 12*B*a**2))/(12*a**4*x**4 + 12*a**3*b*x**7)","A",0
86,1,138,0,1.842927," ","integrate((B*x**3+A)/x**6/(b*x**3+a)**2,x)","\operatorname{RootSum} {\left(729 t^{3} a^{11} - 512 A^{3} b^{5} + 960 A^{2} B a b^{4} - 600 A B^{2} a^{2} b^{3} + 125 B^{3} a^{3} b^{2}, \left( t \mapsto t \log{\left(- \frac{9 t a^{4}}{- 8 A b^{2} + 5 B a b} + x \right)} \right)\right)} + \frac{- 6 A a^{2} + x^{6} \left(40 A b^{2} - 25 B a b\right) + x^{3} \left(24 A a b - 15 B a^{2}\right)}{30 a^{4} x^{5} + 30 a^{3} b x^{8}}"," ",0,"RootSum(729*_t**3*a**11 - 512*A**3*b**5 + 960*A**2*B*a*b**4 - 600*A*B**2*a**2*b**3 + 125*B**3*a**3*b**2, Lambda(_t, _t*log(-9*_t*a**4/(-8*A*b**2 + 5*B*a*b) + x))) + (-6*A*a**2 + x**6*(40*A*b**2 - 25*B*a*b) + x**3*(24*A*a*b - 15*B*a**2))/(30*a**4*x**5 + 30*a**3*b*x**8)","A",0
87,1,100,0,2.396599," ","integrate((B*x**3+A)/x**7/(b*x**3+a)**2,x)","\frac{- A a^{2} + x^{6} \left(6 A b^{2} - 4 B a b\right) + x^{3} \left(3 A a b - 2 B a^{2}\right)}{6 a^{4} x^{6} + 6 a^{3} b x^{9}} - \frac{b \left(- 3 A b + 2 B a\right) \log{\left(x \right)}}{a^{4}} + \frac{b \left(- 3 A b + 2 B a\right) \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a^{4}}"," ",0,"(-A*a**2 + x**6*(6*A*b**2 - 4*B*a*b) + x**3*(3*A*a*b - 2*B*a**2))/(6*a**4*x**6 + 6*a**3*b*x**9) - b*(-3*A*b + 2*B*a)*log(x)/a**4 + b*(-3*A*b + 2*B*a)*log(a/b + x**3)/(3*a**4)","A",0
88,1,112,0,4.941158," ","integrate(x**11*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{B x^{6}}{6 b^{3}} + \frac{a \left(- A b + 2 B a\right) \log{\left(a + b x^{3} \right)}}{b^{5}} + x^{3} \left(\frac{A}{3 b^{3}} - \frac{B a}{b^{4}}\right) + \frac{- 5 A a^{3} b + 7 B a^{4} + x^{3} \left(- 6 A a^{2} b^{2} + 8 B a^{3} b\right)}{6 a^{2} b^{5} + 12 a b^{6} x^{3} + 6 b^{7} x^{6}}"," ",0,"B*x**6/(6*b**3) + a*(-A*b + 2*B*a)*log(a + b*x**3)/b**5 + x**3*(A/(3*b**3) - B*a/b**4) + (-5*A*a**3*b + 7*B*a**4 + x**3*(-6*A*a**2*b**2 + 8*B*a**3*b))/(6*a**2*b**5 + 12*a*b**6*x**3 + 6*b**7*x**6)","A",0
89,1,94,0,3.944998," ","integrate(x**8*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{B x^{3}}{3 b^{3}} + \frac{3 A a^{2} b - 5 B a^{3} + x^{3} \left(4 A a b^{2} - 6 B a^{2} b\right)}{6 a^{2} b^{4} + 12 a b^{5} x^{3} + 6 b^{6} x^{6}} - \frac{\left(- A b + 3 B a\right) \log{\left(a + b x^{3} \right)}}{3 b^{4}}"," ",0,"B*x**3/(3*b**3) + (3*A*a**2*b - 5*B*a**3 + x**3*(4*A*a*b**2 - 6*B*a**2*b))/(6*a**2*b**4 + 12*a*b**5*x**3 + 6*b**6*x**6) - (-A*b + 3*B*a)*log(a + b*x**3)/(3*b**4)","A",0
90,1,70,0,3.691740," ","integrate(x**5*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{B \log{\left(a + b x^{3} \right)}}{3 b^{3}} + \frac{- A a b + 3 B a^{2} + x^{3} \left(- 2 A b^{2} + 4 B a b\right)}{6 a^{2} b^{3} + 12 a b^{4} x^{3} + 6 b^{5} x^{6}}"," ",0,"B*log(a + b*x**3)/(3*b**3) + (-A*a*b + 3*B*a**2 + x**3*(-2*A*b**2 + 4*B*a*b))/(6*a**2*b**3 + 12*a*b**4*x**3 + 6*b**5*x**6)","A",0
91,1,42,0,1.815246," ","integrate(x**2*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{- A b - B a - 2 B b x^{3}}{6 a^{2} b^{2} + 12 a b^{3} x^{3} + 6 b^{4} x^{6}}"," ",0,"(-A*b - B*a - 2*B*b*x**3)/(6*a**2*b**2 + 12*a*b**3*x**3 + 6*b**4*x**6)","A",0
92,1,75,0,1.481026," ","integrate((B*x**3+A)/x/(b*x**3+a)**3,x)","\frac{A \log{\left(x \right)}}{a^{3}} - \frac{A \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a^{3}} + \frac{3 A a b + 2 A b^{2} x^{3} - B a^{2}}{6 a^{4} b + 12 a^{3} b^{2} x^{3} + 6 a^{2} b^{3} x^{6}}"," ",0,"A*log(x)/a**3 - A*log(a/b + x**3)/(3*a**3) + (3*A*a*b + 2*A*b**2*x**3 - B*a**2)/(6*a**4*b + 12*a**3*b**2*x**3 + 6*a**2*b**3*x**6)","A",0
93,1,107,0,3.272481," ","integrate((B*x**3+A)/x**4/(b*x**3+a)**3,x)","\frac{- 2 A a^{2} + x^{6} \left(- 6 A b^{2} + 2 B a b\right) + x^{3} \left(- 9 A a b + 3 B a^{2}\right)}{6 a^{5} x^{3} + 12 a^{4} b x^{6} + 6 a^{3} b^{2} x^{9}} + \frac{\left(- 3 A b + B a\right) \log{\left(x \right)}}{a^{4}} - \frac{\left(- 3 A b + B a\right) \log{\left(\frac{a}{b} + x^{3} \right)}}{3 a^{4}}"," ",0,"(-2*A*a**2 + x**6*(-6*A*b**2 + 2*B*a*b) + x**3*(-9*A*a*b + 3*B*a**2))/(6*a**5*x**3 + 12*a**4*b*x**6 + 6*a**3*b**2*x**9) + (-3*A*b + B*a)*log(x)/a**4 - (-3*A*b + B*a)*log(a/b + x**3)/(3*a**4)","A",0
94,1,133,0,3.553455," ","integrate((B*x**3+A)/x**7/(b*x**3+a)**3,x)","\frac{- A a^{3} + x^{9} \left(12 A b^{3} - 6 B a b^{2}\right) + x^{6} \left(18 A a b^{2} - 9 B a^{2} b\right) + x^{3} \left(4 A a^{2} b - 2 B a^{3}\right)}{6 a^{6} x^{6} + 12 a^{5} b x^{9} + 6 a^{4} b^{2} x^{12}} - \frac{3 b \left(- 2 A b + B a\right) \log{\left(x \right)}}{a^{5}} + \frac{b \left(- 2 A b + B a\right) \log{\left(\frac{a}{b} + x^{3} \right)}}{a^{5}}"," ",0,"(-A*a**3 + x**9*(12*A*b**3 - 6*B*a*b**2) + x**6*(18*A*a*b**2 - 9*B*a**2*b) + x**3*(4*A*a**2*b - 2*B*a**3))/(6*a**6*x**6 + 12*a**5*b*x**9 + 6*a**4*b**2*x**12) - 3*b*(-2*A*b + B*a)*log(x)/a**5 + b*(-2*A*b + B*a)*log(a/b + x**3)/a**5","A",0
95,1,192,0,6.239442," ","integrate(x**10*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{B x^{5}}{5 b^{3}} + x^{2} \left(\frac{A}{2 b^{3}} - \frac{3 B a}{2 b^{4}}\right) + \frac{x^{5} \left(14 A a b^{2} - 20 B a^{2} b\right) + x^{2} \left(11 A a^{2} b - 17 B a^{3}\right)}{18 a^{2} b^{4} + 36 a b^{5} x^{3} + 18 b^{6} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} b^{14} - 8000 A^{3} a^{2} b^{3} + 52800 A^{2} B a^{3} b^{2} - 116160 A B^{2} a^{4} b + 85184 B^{3} a^{5}, \left( t \mapsto t \log{\left(\frac{729 t^{2} b^{9}}{400 A^{2} a b^{2} - 1760 A B a^{2} b + 1936 B^{2} a^{3}} + x \right)} \right)\right)}"," ",0,"B*x**5/(5*b**3) + x**2*(A/(2*b**3) - 3*B*a/(2*b**4)) + (x**5*(14*A*a*b**2 - 20*B*a**2*b) + x**2*(11*A*a**2*b - 17*B*a**3))/(18*a**2*b**4 + 36*a*b**5*x**3 + 18*b**6*x**6) + RootSum(19683*_t**3*b**14 - 8000*A**3*a**2*b**3 + 52800*A**2*B*a**3*b**2 - 116160*A*B**2*a**4*b + 85184*B**3*a**5, Lambda(_t, _t*log(729*_t**2*b**9/(400*A**2*a*b**2 - 1760*A*B*a**2*b + 1936*B**2*a**3) + x)))","A",0
96,1,163,0,4.008917," ","integrate(x**9*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{B x^{4}}{4 b^{3}} + x \left(\frac{A}{b^{3}} - \frac{3 B a}{b^{4}}\right) + \frac{x^{4} \left(13 A a b^{2} - 19 B a^{2} b\right) + x \left(10 A a^{2} b - 16 B a^{3}\right)}{18 a^{2} b^{4} + 36 a b^{5} x^{3} + 18 b^{6} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} b^{13} + 2744 A^{3} a b^{3} - 20580 A^{2} B a^{2} b^{2} + 51450 A B^{2} a^{3} b - 42875 B^{3} a^{4}, \left( t \mapsto t \log{\left(\frac{27 t b^{4}}{- 14 A b + 35 B a} + x \right)} \right)\right)}"," ",0,"B*x**4/(4*b**3) + x*(A/b**3 - 3*B*a/b**4) + (x**4*(13*A*a*b**2 - 19*B*a**2*b) + x*(10*A*a**2*b - 16*B*a**3))/(18*a**2*b**4 + 36*a*b**5*x**3 + 18*b**6*x**6) + RootSum(19683*_t**3*b**13 + 2744*A**3*a*b**3 - 20580*A**2*B*a**2*b**2 + 51450*A*B**2*a**3*b - 42875*B**3*a**4, Lambda(_t, _t*log(27*_t*b**4/(-14*A*b + 35*B*a) + x)))","A",0
97,1,162,0,5.853805," ","integrate(x**7*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{B x^{2}}{2 b^{3}} + \frac{x^{5} \left(- 8 A b^{2} + 14 B a b\right) + x^{2} \left(- 5 A a b + 11 B a^{2}\right)}{18 a^{2} b^{3} + 36 a b^{4} x^{3} + 18 b^{5} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} a b^{11} + 125 A^{3} b^{3} - 1500 A^{2} B a b^{2} + 6000 A B^{2} a^{2} b - 8000 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{729 t^{2} a b^{7}}{25 A^{2} b^{2} - 200 A B a b + 400 B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"B*x**2/(2*b**3) + (x**5*(-8*A*b**2 + 14*B*a*b) + x**2*(-5*A*a*b + 11*B*a**2))/(18*a**2*b**3 + 36*a*b**4*x**3 + 18*b**5*x**6) + RootSum(19683*_t**3*a*b**11 + 125*A**3*b**3 - 1500*A**2*B*a*b**2 + 6000*A*B**2*a**2*b - 8000*B**3*a**3, Lambda(_t, _t*log(729*_t**2*a*b**7/(25*A**2*b**2 - 200*A*B*a*b + 400*B**2*a**2) + x)))","A",0
98,1,141,0,3.391655," ","integrate(x**6*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{B x}{b^{3}} + \frac{x^{4} \left(- 7 A b^{2} + 13 B a b\right) + x \left(- 4 A a b + 10 B a^{2}\right)}{18 a^{2} b^{3} + 36 a b^{4} x^{3} + 18 b^{5} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} a^{2} b^{10} - 8 A^{3} b^{3} + 168 A^{2} B a b^{2} - 1176 A B^{2} a^{2} b + 2744 B^{3} a^{3}, \left( t \mapsto t \log{\left(- \frac{27 t a b^{3}}{- 2 A b + 14 B a} + x \right)} \right)\right)}"," ",0,"B*x/b**3 + (x**4*(-7*A*b**2 + 13*B*a*b) + x*(-4*A*a*b + 10*B*a**2))/(18*a**2*b**3 + 36*a*b**4*x**3 + 18*b**5*x**6) + RootSum(19683*_t**3*a**2*b**10 - 8*A**3*b**3 + 168*A**2*B*a*b**2 - 1176*A*B**2*a**2*b + 2744*B**3*a**3, Lambda(_t, _t*log(-27*_t*a*b**3/(-2*A*b + 14*B*a) + x)))","A",0
99,1,155,0,4.749084," ","integrate(x**4*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{x^{5} \left(2 A b^{2} - 8 B a b\right) + x^{2} \left(- A a b - 5 B a^{2}\right)}{18 a^{3} b^{2} + 36 a^{2} b^{3} x^{3} + 18 a b^{4} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} a^{4} b^{8} + A^{3} b^{3} + 15 A^{2} B a b^{2} + 75 A B^{2} a^{2} b + 125 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{729 t^{2} a^{3} b^{5}}{A^{2} b^{2} + 10 A B a b + 25 B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"(x**5*(2*A*b**2 - 8*B*a*b) + x**2*(-A*a*b - 5*B*a**2))/(18*a**3*b**2 + 36*a**2*b**3*x**3 + 18*a*b**4*x**6) + RootSum(19683*_t**3*a**4*b**8 + A**3*b**3 + 15*A**2*B*a*b**2 + 75*A*B**2*a**2*b + 125*B**3*a**3, Lambda(_t, _t*log(729*_t**2*a**3*b**5/(A**2*b**2 + 10*A*B*a*b + 25*B**2*a**2) + x)))","A",0
100,1,136,0,3.253167," ","integrate(x**3*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{x^{4} \left(A b^{2} - 7 B a b\right) + x \left(- 2 A a b - 4 B a^{2}\right)}{18 a^{3} b^{2} + 36 a^{2} b^{3} x^{3} + 18 a b^{4} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} a^{5} b^{7} - A^{3} b^{3} - 6 A^{2} B a b^{2} - 12 A B^{2} a^{2} b - 8 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{27 t a^{2} b^{2}}{A b + 2 B a} + x \right)} \right)\right)}"," ",0,"(x**4*(A*b**2 - 7*B*a*b) + x*(-2*A*a*b - 4*B*a**2))/(18*a**3*b**2 + 36*a**2*b**3*x**3 + 18*a*b**4*x**6) + RootSum(19683*_t**3*a**5*b**7 - A**3*b**3 - 6*A**2*B*a*b**2 - 12*A*B**2*a**2*b - 8*B**3*a**3, Lambda(_t, _t*log(27*_t*a**2*b**2/(A*b + 2*B*a) + x)))","A",0
101,1,153,0,2.031713," ","integrate(x*(B*x**3+A)/(b*x**3+a)**3,x)","\frac{x^{5} \left(4 A b^{2} + 2 B a b\right) + x^{2} \left(7 A a b - B a^{2}\right)}{18 a^{4} b + 36 a^{3} b^{2} x^{3} + 18 a^{2} b^{3} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} a^{7} b^{5} + 8 A^{3} b^{3} + 12 A^{2} B a b^{2} + 6 A B^{2} a^{2} b + B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{729 t^{2} a^{5} b^{3}}{4 A^{2} b^{2} + 4 A B a b + B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"(x**5*(4*A*b**2 + 2*B*a*b) + x**2*(7*A*a*b - B*a**2))/(18*a**4*b + 36*a**3*b**2*x**3 + 18*a**2*b**3*x**6) + RootSum(19683*_t**3*a**7*b**5 + 8*A**3*b**3 + 12*A**2*B*a*b**2 + 6*A*B**2*a**2*b + B**3*a**3, Lambda(_t, _t*log(729*_t**2*a**5*b**3/(4*A**2*b**2 + 4*A*B*a*b + B**2*a**2) + x)))","A",0
102,1,133,0,1.512764," ","integrate((B*x**3+A)/(b*x**3+a)**3,x)","\frac{x^{4} \left(5 A b^{2} + B a b\right) + x \left(8 A a b - 2 B a^{2}\right)}{18 a^{4} b + 36 a^{3} b^{2} x^{3} + 18 a^{2} b^{3} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} a^{8} b^{4} - 125 A^{3} b^{3} - 75 A^{2} B a b^{2} - 15 A B^{2} a^{2} b - B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{27 t a^{3} b}{5 A b + B a} + x \right)} \right)\right)}"," ",0,"(x**4*(5*A*b**2 + B*a*b) + x*(8*A*a*b - 2*B*a**2))/(18*a**4*b + 36*a**3*b**2*x**3 + 18*a**2*b**3*x**6) + RootSum(19683*_t**3*a**8*b**4 - 125*A**3*b**3 - 75*A**2*B*a*b**2 - 15*A*B**2*a**2*b - B**3*a**3, Lambda(_t, _t*log(27*_t*a**3*b/(5*A*b + B*a) + x)))","A",0
103,1,162,0,1.902353," ","integrate((B*x**3+A)/x**2/(b*x**3+a)**3,x)","\frac{- 18 A a^{2} + x^{6} \left(- 28 A b^{2} + 4 B a b\right) + x^{3} \left(- 49 A a b + 7 B a^{2}\right)}{18 a^{5} x + 36 a^{4} b x^{4} + 18 a^{3} b^{2} x^{7}} + \operatorname{RootSum} {\left(19683 t^{3} a^{10} b^{2} - 2744 A^{3} b^{3} + 1176 A^{2} B a b^{2} - 168 A B^{2} a^{2} b + 8 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{729 t^{2} a^{7} b}{196 A^{2} b^{2} - 56 A B a b + 4 B^{2} a^{2}} + x \right)} \right)\right)}"," ",0,"(-18*A*a**2 + x**6*(-28*A*b**2 + 4*B*a*b) + x**3*(-49*A*a*b + 7*B*a**2))/(18*a**5*x + 36*a**4*b*x**4 + 18*a**3*b**2*x**7) + RootSum(19683*_t**3*a**10*b**2 - 2744*A**3*b**3 + 1176*A**2*B*a*b**2 - 168*A*B**2*a**2*b + 8*B**3*a**3, Lambda(_t, _t*log(729*_t**2*a**7*b/(196*A**2*b**2 - 56*A*B*a*b + 4*B**2*a**2) + x)))","A",0
104,1,143,0,1.731415," ","integrate((B*x**3+A)/x**3/(b*x**3+a)**3,x)","\frac{- 9 A a^{2} + x^{6} \left(- 20 A b^{2} + 5 B a b\right) + x^{3} \left(- 32 A a b + 8 B a^{2}\right)}{18 a^{5} x^{2} + 36 a^{4} b x^{5} + 18 a^{3} b^{2} x^{8}} + \operatorname{RootSum} {\left(19683 t^{3} a^{11} b + 8000 A^{3} b^{3} - 6000 A^{2} B a b^{2} + 1500 A B^{2} a^{2} b - 125 B^{3} a^{3}, \left( t \mapsto t \log{\left(\frac{27 t a^{4}}{- 20 A b + 5 B a} + x \right)} \right)\right)}"," ",0,"(-9*A*a**2 + x**6*(-20*A*b**2 + 5*B*a*b) + x**3*(-32*A*a*b + 8*B*a**2))/(18*a**5*x**2 + 36*a**4*b*x**5 + 18*a**3*b**2*x**8) + RootSum(19683*_t**3*a**11*b + 8000*A**3*b**3 - 6000*A**2*B*a*b**2 + 1500*A*B**2*a**2*b - 125*B**3*a**3, Lambda(_t, _t*log(27*_t*a**4/(-20*A*b + 5*B*a) + x)))","A",0
105,1,189,0,1.905452," ","integrate((B*x**3+A)/x**5/(b*x**3+a)**3,x)","\operatorname{RootSum} {\left(19683 t^{3} a^{13} + 42875 A^{3} b^{4} - 51450 A^{2} B a b^{3} + 20580 A B^{2} a^{2} b^{2} - 2744 B^{3} a^{3} b, \left( t \mapsto t \log{\left(\frac{729 t^{2} a^{9}}{1225 A^{2} b^{3} - 980 A B a b^{2} + 196 B^{2} a^{2} b} + x \right)} \right)\right)} + \frac{- 9 A a^{3} + x^{9} \left(140 A b^{3} - 56 B a b^{2}\right) + x^{6} \left(245 A a b^{2} - 98 B a^{2} b\right) + x^{3} \left(90 A a^{2} b - 36 B a^{3}\right)}{36 a^{6} x^{4} + 72 a^{5} b x^{7} + 36 a^{4} b^{2} x^{10}}"," ",0,"RootSum(19683*_t**3*a**13 + 42875*A**3*b**4 - 51450*A**2*B*a*b**3 + 20580*A*B**2*a**2*b**2 - 2744*B**3*a**3*b, Lambda(_t, _t*log(729*_t**2*a**9/(1225*A**2*b**3 - 980*A*B*a*b**2 + 196*B**2*a**2*b) + x))) + (-9*A*a**3 + x**9*(140*A*b**3 - 56*B*a*b**2) + x**6*(245*A*a*b**2 - 98*B*a**2*b) + x**3*(90*A*a**2*b - 36*B*a**3))/(36*a**6*x**4 + 72*a**5*b*x**7 + 36*a**4*b**2*x**10)","A",0
106,1,173,0,2.176475," ","integrate((B*x**3+A)/x**6/(b*x**3+a)**3,x)","\operatorname{RootSum} {\left(19683 t^{3} a^{14} - 85184 A^{3} b^{5} + 116160 A^{2} B a b^{4} - 52800 A B^{2} a^{2} b^{3} + 8000 B^{3} a^{3} b^{2}, \left( t \mapsto t \log{\left(- \frac{27 t a^{5}}{- 44 A b^{2} + 20 B a b} + x \right)} \right)\right)} + \frac{- 18 A a^{3} + x^{9} \left(220 A b^{3} - 100 B a b^{2}\right) + x^{6} \left(352 A a b^{2} - 160 B a^{2} b\right) + x^{3} \left(99 A a^{2} b - 45 B a^{3}\right)}{90 a^{6} x^{5} + 180 a^{5} b x^{8} + 90 a^{4} b^{2} x^{11}}"," ",0,"RootSum(19683*_t**3*a**14 - 85184*A**3*b**5 + 116160*A**2*B*a*b**4 - 52800*A*B**2*a**2*b**3 + 8000*B**3*a**3*b**2, Lambda(_t, _t*log(-27*_t*a**5/(-44*A*b**2 + 20*B*a*b) + x))) + (-18*A*a**3 + x**9*(220*A*b**3 - 100*B*a*b**2) + x**6*(352*A*a*b**2 - 160*B*a**2*b) + x**3*(99*A*a**2*b - 45*B*a**3))/(90*a**6*x**5 + 180*a**5*b*x**8 + 90*a**4*b**2*x**11)","A",0
107,-1,0,0,0.000000," ","integrate(x**8/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate(x**7/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,-1,0,0,0.000000," ","integrate(x**6/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,1,144,0,6.748009," ","integrate(x**5/(b*x**3+a)/(d*x**3+c),x)","\frac{a \log{\left(x^{3} + \frac{\frac{a^{3} d^{2}}{b \left(a d - b c\right)} - \frac{2 a^{2} c d}{a d - b c} + \frac{a b c^{2}}{a d - b c} + 2 a c}{a d + b c} \right)}}{3 b \left(a d - b c\right)} - \frac{c \log{\left(x^{3} + \frac{- \frac{a^{2} c d}{a d - b c} + \frac{2 a b c^{2}}{a d - b c} + 2 a c - \frac{b^{2} c^{3}}{d \left(a d - b c\right)}}{a d + b c} \right)}}{3 d \left(a d - b c\right)}"," ",0,"a*log(x**3 + (a**3*d**2/(b*(a*d - b*c)) - 2*a**2*c*d/(a*d - b*c) + a*b*c**2/(a*d - b*c) + 2*a*c)/(a*d + b*c))/(3*b*(a*d - b*c)) - c*log(x**3 + (-a**2*c*d/(a*d - b*c) + 2*a*b*c**2/(a*d - b*c) + 2*a*c - b**2*c**3/(d*(a*d - b*c)))/(a*d + b*c))/(3*d*(a*d - b*c))","B",0
111,1,573,0,123.979444," ","integrate(x**4/(b*x**3+a)/(d*x**3+c),x)","\operatorname{RootSum} {\left(t^{3} \left(27 a^{3} d^{5} - 81 a^{2} b c d^{4} + 81 a b^{2} c^{2} d^{3} - 27 b^{3} c^{3} d^{2}\right) - c^{2}, \left( t \mapsto t \log{\left(x + \frac{243 t^{5} a^{6} b^{2} d^{8} - 1458 t^{5} a^{5} b^{3} c d^{7} + 3645 t^{5} a^{4} b^{4} c^{2} d^{6} - 4860 t^{5} a^{3} b^{5} c^{3} d^{5} + 3645 t^{5} a^{2} b^{6} c^{4} d^{4} - 1458 t^{5} a b^{7} c^{5} d^{3} + 243 t^{5} b^{8} c^{6} d^{2} + 9 t^{2} a^{5} d^{5} - 18 t^{2} a^{4} b c d^{4} + 9 t^{2} a^{3} b^{2} c^{2} d^{3} + 9 t^{2} a^{2} b^{3} c^{3} d^{2} - 18 t^{2} a b^{4} c^{4} d + 9 t^{2} b^{5} c^{5}}{a^{3} c d^{2} + a b^{2} c^{3}} \right)} \right)\right)} + \operatorname{RootSum} {\left(t^{3} \left(27 a^{3} b^{2} d^{3} - 81 a^{2} b^{3} c d^{2} + 81 a b^{4} c^{2} d - 27 b^{5} c^{3}\right) + a^{2}, \left( t \mapsto t \log{\left(x + \frac{243 t^{5} a^{6} b^{2} d^{8} - 1458 t^{5} a^{5} b^{3} c d^{7} + 3645 t^{5} a^{4} b^{4} c^{2} d^{6} - 4860 t^{5} a^{3} b^{5} c^{3} d^{5} + 3645 t^{5} a^{2} b^{6} c^{4} d^{4} - 1458 t^{5} a b^{7} c^{5} d^{3} + 243 t^{5} b^{8} c^{6} d^{2} + 9 t^{2} a^{5} d^{5} - 18 t^{2} a^{4} b c d^{4} + 9 t^{2} a^{3} b^{2} c^{2} d^{3} + 9 t^{2} a^{2} b^{3} c^{3} d^{2} - 18 t^{2} a b^{4} c^{4} d + 9 t^{2} b^{5} c^{5}}{a^{3} c d^{2} + a b^{2} c^{3}} \right)} \right)\right)}"," ",0,"RootSum(_t**3*(27*a**3*d**5 - 81*a**2*b*c*d**4 + 81*a*b**2*c**2*d**3 - 27*b**3*c**3*d**2) - c**2, Lambda(_t, _t*log(x + (243*_t**5*a**6*b**2*d**8 - 1458*_t**5*a**5*b**3*c*d**7 + 3645*_t**5*a**4*b**4*c**2*d**6 - 4860*_t**5*a**3*b**5*c**3*d**5 + 3645*_t**5*a**2*b**6*c**4*d**4 - 1458*_t**5*a*b**7*c**5*d**3 + 243*_t**5*b**8*c**6*d**2 + 9*_t**2*a**5*d**5 - 18*_t**2*a**4*b*c*d**4 + 9*_t**2*a**3*b**2*c**2*d**3 + 9*_t**2*a**2*b**3*c**3*d**2 - 18*_t**2*a*b**4*c**4*d + 9*_t**2*b**5*c**5)/(a**3*c*d**2 + a*b**2*c**3)))) + RootSum(_t**3*(27*a**3*b**2*d**3 - 81*a**2*b**3*c*d**2 + 81*a*b**4*c**2*d - 27*b**5*c**3) + a**2, Lambda(_t, _t*log(x + (243*_t**5*a**6*b**2*d**8 - 1458*_t**5*a**5*b**3*c*d**7 + 3645*_t**5*a**4*b**4*c**2*d**6 - 4860*_t**5*a**3*b**5*c**3*d**5 + 3645*_t**5*a**2*b**6*c**4*d**4 - 1458*_t**5*a*b**7*c**5*d**3 + 243*_t**5*b**8*c**6*d**2 + 9*_t**2*a**5*d**5 - 18*_t**2*a**4*b*c*d**4 + 9*_t**2*a**3*b**2*c**2*d**3 + 9*_t**2*a**2*b**3*c**3*d**2 - 18*_t**2*a*b**4*c**4*d + 9*_t**2*b**5*c**5)/(a**3*c*d**2 + a*b**2*c**3))))","B",0
112,1,342,0,20.200872," ","integrate(x**3/(b*x**3+a)/(d*x**3+c),x)","\operatorname{RootSum} {\left(t^{3} \left(27 a^{3} d^{4} - 81 a^{2} b c d^{3} + 81 a b^{2} c^{2} d^{2} - 27 b^{3} c^{3} d\right) + c, \left( t \mapsto t \log{\left(x + \frac{162 t^{4} a^{4} b d^{5} - 648 t^{4} a^{3} b^{2} c d^{4} + 972 t^{4} a^{2} b^{3} c^{2} d^{3} - 648 t^{4} a b^{4} c^{3} d^{2} + 162 t^{4} b^{5} c^{4} d - 3 t a^{2} d^{2} + 6 t a b c d - 3 t b^{2} c^{2}}{a d + b c} \right)} \right)\right)} + \operatorname{RootSum} {\left(t^{3} \left(27 a^{3} b d^{3} - 81 a^{2} b^{2} c d^{2} + 81 a b^{3} c^{2} d - 27 b^{4} c^{3}\right) - a, \left( t \mapsto t \log{\left(x + \frac{162 t^{4} a^{4} b d^{5} - 648 t^{4} a^{3} b^{2} c d^{4} + 972 t^{4} a^{2} b^{3} c^{2} d^{3} - 648 t^{4} a b^{4} c^{3} d^{2} + 162 t^{4} b^{5} c^{4} d - 3 t a^{2} d^{2} + 6 t a b c d - 3 t b^{2} c^{2}}{a d + b c} \right)} \right)\right)}"," ",0,"RootSum(_t**3*(27*a**3*d**4 - 81*a**2*b*c*d**3 + 81*a*b**2*c**2*d**2 - 27*b**3*c**3*d) + c, Lambda(_t, _t*log(x + (162*_t**4*a**4*b*d**5 - 648*_t**4*a**3*b**2*c*d**4 + 972*_t**4*a**2*b**3*c**2*d**3 - 648*_t**4*a*b**4*c**3*d**2 + 162*_t**4*b**5*c**4*d - 3*_t*a**2*d**2 + 6*_t*a*b*c*d - 3*_t*b**2*c**2)/(a*d + b*c)))) + RootSum(_t**3*(27*a**3*b*d**3 - 81*a**2*b**2*c*d**2 + 81*a*b**3*c**2*d - 27*b**4*c**3) - a, Lambda(_t, _t*log(x + (162*_t**4*a**4*b*d**5 - 648*_t**4*a**3*b**2*c*d**4 + 972*_t**4*a**2*b**3*c**2*d**3 - 648*_t**4*a*b**4*c**3*d**2 + 162*_t**4*b**5*c**4*d - 3*_t*a**2*d**2 + 6*_t*a*b*c*d - 3*_t*b**2*c**2)/(a*d + b*c))))","A",0
113,1,138,0,2.473804," ","integrate(x**2/(b*x**3+a)/(d*x**3+c),x)","\frac{\log{\left(x^{3} + \frac{- \frac{a^{2} d^{2}}{a d - b c} + \frac{2 a b c d}{a d - b c} + a d - \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{3 \left(a d - b c\right)} - \frac{\log{\left(x^{3} + \frac{\frac{a^{2} d^{2}}{a d - b c} - \frac{2 a b c d}{a d - b c} + a d + \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{3 \left(a d - b c\right)}"," ",0,"log(x**3 + (-a**2*d**2/(a*d - b*c) + 2*a*b*c*d/(a*d - b*c) + a*d - b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(3*(a*d - b*c)) - log(x**3 + (a**2*d**2/(a*d - b*c) - 2*a*b*c*d/(a*d - b*c) + a*d + b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(3*(a*d - b*c))","B",0
114,1,515,0,14.506270," ","integrate(x/(b*x**3+a)/(d*x**3+c),x)","\operatorname{RootSum} {\left(t^{3} \left(27 a^{4} d^{3} - 81 a^{3} b c d^{2} + 81 a^{2} b^{2} c^{2} d - 27 a b^{3} c^{3}\right) - b, \left( t \mapsto t \log{\left(x + \frac{243 t^{5} a^{7} c d^{6} - 1458 t^{5} a^{6} b c^{2} d^{5} + 3645 t^{5} a^{5} b^{2} c^{3} d^{4} - 4860 t^{5} a^{4} b^{3} c^{4} d^{3} + 3645 t^{5} a^{3} b^{4} c^{5} d^{2} - 1458 t^{5} a^{2} b^{5} c^{6} d + 243 t^{5} a b^{6} c^{7} + 9 t^{2} a^{4} d^{4} - 18 t^{2} a^{3} b c d^{3} + 18 t^{2} a^{2} b^{2} c^{2} d^{2} - 18 t^{2} a b^{3} c^{3} d + 9 t^{2} b^{4} c^{4}}{a b d^{2} + b^{2} c d} \right)} \right)\right)} + \operatorname{RootSum} {\left(t^{3} \left(27 a^{3} c d^{3} - 81 a^{2} b c^{2} d^{2} + 81 a b^{2} c^{3} d - 27 b^{3} c^{4}\right) + d, \left( t \mapsto t \log{\left(x + \frac{243 t^{5} a^{7} c d^{6} - 1458 t^{5} a^{6} b c^{2} d^{5} + 3645 t^{5} a^{5} b^{2} c^{3} d^{4} - 4860 t^{5} a^{4} b^{3} c^{4} d^{3} + 3645 t^{5} a^{3} b^{4} c^{5} d^{2} - 1458 t^{5} a^{2} b^{5} c^{6} d + 243 t^{5} a b^{6} c^{7} + 9 t^{2} a^{4} d^{4} - 18 t^{2} a^{3} b c d^{3} + 18 t^{2} a^{2} b^{2} c^{2} d^{2} - 18 t^{2} a b^{3} c^{3} d + 9 t^{2} b^{4} c^{4}}{a b d^{2} + b^{2} c d} \right)} \right)\right)}"," ",0,"RootSum(_t**3*(27*a**4*d**3 - 81*a**3*b*c*d**2 + 81*a**2*b**2*c**2*d - 27*a*b**3*c**3) - b, Lambda(_t, _t*log(x + (243*_t**5*a**7*c*d**6 - 1458*_t**5*a**6*b*c**2*d**5 + 3645*_t**5*a**5*b**2*c**3*d**4 - 4860*_t**5*a**4*b**3*c**4*d**3 + 3645*_t**5*a**3*b**4*c**5*d**2 - 1458*_t**5*a**2*b**5*c**6*d + 243*_t**5*a*b**6*c**7 + 9*_t**2*a**4*d**4 - 18*_t**2*a**3*b*c*d**3 + 18*_t**2*a**2*b**2*c**2*d**2 - 18*_t**2*a*b**3*c**3*d + 9*_t**2*b**4*c**4)/(a*b*d**2 + b**2*c*d)))) + RootSum(_t**3*(27*a**3*c*d**3 - 81*a**2*b*c**2*d**2 + 81*a*b**2*c**3*d - 27*b**3*c**4) + d, Lambda(_t, _t*log(x + (243*_t**5*a**7*c*d**6 - 1458*_t**5*a**6*b*c**2*d**5 + 3645*_t**5*a**5*b**2*c**3*d**4 - 4860*_t**5*a**4*b**3*c**4*d**3 + 3645*_t**5*a**3*b**4*c**5*d**2 - 1458*_t**5*a**2*b**5*c**6*d + 243*_t**5*a*b**6*c**7 + 9*_t**2*a**4*d**4 - 18*_t**2*a**3*b*c*d**3 + 18*_t**2*a**2*b**2*c**2*d**2 - 18*_t**2*a*b**3*c**3*d + 9*_t**2*b**4*c**4)/(a*b*d**2 + b**2*c*d))))","A",0
115,1,447,0,133.334434," ","integrate(1/(b*x**3+a)/(d*x**3+c),x)","\operatorname{RootSum} {\left(t^{3} \left(27 a^{5} d^{3} - 81 a^{4} b c d^{2} + 81 a^{3} b^{2} c^{2} d - 27 a^{2} b^{3} c^{3}\right) + b^{2}, \left( t \mapsto t \log{\left(x + \frac{81 t^{4} a^{7} c^{2} d^{5} - 243 t^{4} a^{6} b c^{3} d^{4} + 162 t^{4} a^{5} b^{2} c^{4} d^{3} + 162 t^{4} a^{4} b^{3} c^{5} d^{2} - 243 t^{4} a^{3} b^{4} c^{6} d + 81 t^{4} a^{2} b^{5} c^{7} - 3 t a^{4} d^{4} + 3 t a^{3} b c d^{3} + 3 t a b^{3} c^{3} d - 3 t b^{4} c^{4}}{a^{2} b d^{3} + b^{3} c^{2} d} \right)} \right)\right)} + \operatorname{RootSum} {\left(t^{3} \left(27 a^{3} c^{2} d^{3} - 81 a^{2} b c^{3} d^{2} + 81 a b^{2} c^{4} d - 27 b^{3} c^{5}\right) - d^{2}, \left( t \mapsto t \log{\left(x + \frac{81 t^{4} a^{7} c^{2} d^{5} - 243 t^{4} a^{6} b c^{3} d^{4} + 162 t^{4} a^{5} b^{2} c^{4} d^{3} + 162 t^{4} a^{4} b^{3} c^{5} d^{2} - 243 t^{4} a^{3} b^{4} c^{6} d + 81 t^{4} a^{2} b^{5} c^{7} - 3 t a^{4} d^{4} + 3 t a^{3} b c d^{3} + 3 t a b^{3} c^{3} d - 3 t b^{4} c^{4}}{a^{2} b d^{3} + b^{3} c^{2} d} \right)} \right)\right)}"," ",0,"RootSum(_t**3*(27*a**5*d**3 - 81*a**4*b*c*d**2 + 81*a**3*b**2*c**2*d - 27*a**2*b**3*c**3) + b**2, Lambda(_t, _t*log(x + (81*_t**4*a**7*c**2*d**5 - 243*_t**4*a**6*b*c**3*d**4 + 162*_t**4*a**5*b**2*c**4*d**3 + 162*_t**4*a**4*b**3*c**5*d**2 - 243*_t**4*a**3*b**4*c**6*d + 81*_t**4*a**2*b**5*c**7 - 3*_t*a**4*d**4 + 3*_t*a**3*b*c*d**3 + 3*_t*a*b**3*c**3*d - 3*_t*b**4*c**4)/(a**2*b*d**3 + b**3*c**2*d)))) + RootSum(_t**3*(27*a**3*c**2*d**3 - 81*a**2*b*c**3*d**2 + 81*a*b**2*c**4*d - 27*b**3*c**5) - d**2, Lambda(_t, _t*log(x + (81*_t**4*a**7*c**2*d**5 - 243*_t**4*a**6*b*c**3*d**4 + 162*_t**4*a**5*b**2*c**4*d**3 + 162*_t**4*a**4*b**3*c**5*d**2 - 243*_t**4*a**3*b**4*c**6*d + 81*_t**4*a**2*b**5*c**7 - 3*_t*a**4*d**4 + 3*_t*a**3*b*c*d**3 + 3*_t*a*b**3*c**3*d - 3*_t*b**4*c**4)/(a**2*b*d**3 + b**3*c**2*d))))","A",0
116,-1,0,0,0.000000," ","integrate(1/x/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,-1,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate(1/x**5/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,-1,0,0,0.000000," ","integrate(1/x**6/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate(1/x**7/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,-1,0,0,0.000000," ","integrate(1/x**8/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,1,5418,0,23.935682," ","integrate(x**m*(b*x**3+a)**5*(B*x**3+A),x)","\begin{cases} - \frac{A a^{5}}{18 x^{18}} - \frac{A a^{4} b}{3 x^{15}} - \frac{5 A a^{3} b^{2}}{6 x^{12}} - \frac{10 A a^{2} b^{3}}{9 x^{9}} - \frac{5 A a b^{4}}{6 x^{6}} - \frac{A b^{5}}{3 x^{3}} - \frac{B a^{5}}{15 x^{15}} - \frac{5 B a^{4} b}{12 x^{12}} - \frac{10 B a^{3} b^{2}}{9 x^{9}} - \frac{5 B a^{2} b^{3}}{3 x^{6}} - \frac{5 B a b^{4}}{3 x^{3}} + B b^{5} \log{\left(x \right)} & \text{for}\: m = -19 \\- \frac{A a^{5}}{15 x^{15}} - \frac{5 A a^{4} b}{12 x^{12}} - \frac{10 A a^{3} b^{2}}{9 x^{9}} - \frac{5 A a^{2} b^{3}}{3 x^{6}} - \frac{5 A a b^{4}}{3 x^{3}} + A b^{5} \log{\left(x \right)} - \frac{B a^{5}}{12 x^{12}} - \frac{5 B a^{4} b}{9 x^{9}} - \frac{5 B a^{3} b^{2}}{3 x^{6}} - \frac{10 B a^{2} b^{3}}{3 x^{3}} + 5 B a b^{4} \log{\left(x \right)} + \frac{B b^{5} x^{3}}{3} & \text{for}\: m = -16 \\- \frac{A a^{5}}{12 x^{12}} - \frac{5 A a^{4} b}{9 x^{9}} - \frac{5 A a^{3} b^{2}}{3 x^{6}} - \frac{10 A a^{2} b^{3}}{3 x^{3}} + 5 A a b^{4} \log{\left(x \right)} + \frac{A b^{5} x^{3}}{3} - \frac{B a^{5}}{9 x^{9}} - \frac{5 B a^{4} b}{6 x^{6}} - \frac{10 B a^{3} b^{2}}{3 x^{3}} + 10 B a^{2} b^{3} \log{\left(x \right)} + \frac{5 B a b^{4} x^{3}}{3} + \frac{B b^{5} x^{6}}{6} & \text{for}\: m = -13 \\- \frac{A a^{5}}{9 x^{9}} - \frac{5 A a^{4} b}{6 x^{6}} - \frac{10 A a^{3} b^{2}}{3 x^{3}} + 10 A a^{2} b^{3} \log{\left(x \right)} + \frac{5 A a b^{4} x^{3}}{3} + \frac{A b^{5} x^{6}}{6} - \frac{B a^{5}}{6 x^{6}} - \frac{5 B a^{4} b}{3 x^{3}} + 10 B a^{3} b^{2} \log{\left(x \right)} + \frac{10 B a^{2} b^{3} x^{3}}{3} + \frac{5 B a b^{4} x^{6}}{6} + \frac{B b^{5} x^{9}}{9} & \text{for}\: m = -10 \\- \frac{A a^{5}}{6 x^{6}} - \frac{5 A a^{4} b}{3 x^{3}} + 10 A a^{3} b^{2} \log{\left(x \right)} + \frac{10 A a^{2} b^{3} x^{3}}{3} + \frac{5 A a b^{4} x^{6}}{6} + \frac{A b^{5} x^{9}}{9} - \frac{B a^{5}}{3 x^{3}} + 5 B a^{4} b \log{\left(x \right)} + \frac{10 B a^{3} b^{2} x^{3}}{3} + \frac{5 B a^{2} b^{3} x^{6}}{3} + \frac{5 B a b^{4} x^{9}}{9} + \frac{B b^{5} x^{12}}{12} & \text{for}\: m = -7 \\- \frac{A a^{5}}{3 x^{3}} + 5 A a^{4} b \log{\left(x \right)} + \frac{10 A a^{3} b^{2} x^{3}}{3} + \frac{5 A a^{2} b^{3} x^{6}}{3} + \frac{5 A a b^{4} x^{9}}{9} + \frac{A b^{5} x^{12}}{12} + B a^{5} \log{\left(x \right)} + \frac{5 B a^{4} b x^{3}}{3} + \frac{5 B a^{3} b^{2} x^{6}}{3} + \frac{10 B a^{2} b^{3} x^{9}}{9} + \frac{5 B a b^{4} x^{12}}{12} + \frac{B b^{5} x^{15}}{15} & \text{for}\: m = -4 \\A a^{5} \log{\left(x \right)} + \frac{5 A a^{4} b x^{3}}{3} + \frac{5 A a^{3} b^{2} x^{6}}{3} + \frac{10 A a^{2} b^{3} x^{9}}{9} + \frac{5 A a b^{4} x^{12}}{12} + \frac{A b^{5} x^{15}}{15} + \frac{B a^{5} x^{3}}{3} + \frac{5 B a^{4} b x^{6}}{6} + \frac{10 B a^{3} b^{2} x^{9}}{9} + \frac{5 B a^{2} b^{3} x^{12}}{6} + \frac{B a b^{4} x^{15}}{3} + \frac{B b^{5} x^{18}}{18} & \text{for}\: m = -1 \\\frac{A a^{5} m^{6} x x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{69 A a^{5} m^{5} x x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1905 A a^{5} m^{4} x x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{26795 A a^{5} m^{3} x x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{201174 A a^{5} m^{2} x x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{757896 A a^{5} m x x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1106560 A a^{5} x x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{5 A a^{4} b m^{6} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{330 A a^{4} b m^{5} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{8550 A a^{4} b m^{4} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{109300 A a^{4} b m^{3} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{702645 A a^{4} b m^{2} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1984770 A a^{4} b m x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1383200 A a^{4} b x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{10 A a^{3} b^{2} m^{6} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{630 A a^{3} b^{2} m^{5} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{15330 A a^{3} b^{2} m^{4} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{179690 A a^{3} b^{2} m^{3} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1021860 A a^{3} b^{2} m^{2} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{2437680 A a^{3} b^{2} m x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1580800 A a^{3} b^{2} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{10 A a^{2} b^{3} m^{6} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{600 A a^{2} b^{3} m^{5} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{13740 A a^{2} b^{3} m^{4} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{149600 A a^{2} b^{3} m^{3} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{783690 A a^{2} b^{3} m^{2} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1753800 A a^{2} b^{3} m x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1106560 A a^{2} b^{3} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{5 A a b^{4} m^{6} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{285 A a b^{4} m^{5} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{6165 A a b^{4} m^{4} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{63355 A a b^{4} m^{3} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{316230 A a b^{4} m^{2} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{684360 A a b^{4} m x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{425600 A a b^{4} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{A b^{5} m^{6} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{54 A b^{5} m^{5} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1110 A b^{5} m^{4} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{10940 A b^{5} m^{3} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{52929 A b^{5} m^{2} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{112206 A b^{5} m x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{69160 A b^{5} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{B a^{5} m^{6} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{66 B a^{5} m^{5} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1710 B a^{5} m^{4} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{21860 B a^{5} m^{3} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{140529 B a^{5} m^{2} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{396954 B a^{5} m x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{276640 B a^{5} x^{4} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{5 B a^{4} b m^{6} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{315 B a^{4} b m^{5} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{7665 B a^{4} b m^{4} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{89845 B a^{4} b m^{3} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{510930 B a^{4} b m^{2} x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1218840 B a^{4} b m x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{790400 B a^{4} b x^{7} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{10 B a^{3} b^{2} m^{6} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{600 B a^{3} b^{2} m^{5} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{13740 B a^{3} b^{2} m^{4} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{149600 B a^{3} b^{2} m^{3} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{783690 B a^{3} b^{2} m^{2} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1753800 B a^{3} b^{2} m x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1106560 B a^{3} b^{2} x^{10} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{10 B a^{2} b^{3} m^{6} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{570 B a^{2} b^{3} m^{5} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{12330 B a^{2} b^{3} m^{4} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{126710 B a^{2} b^{3} m^{3} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{632460 B a^{2} b^{3} m^{2} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1368720 B a^{2} b^{3} m x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{851200 B a^{2} b^{3} x^{13} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{5 B a b^{4} m^{6} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{270 B a b^{4} m^{5} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{5550 B a b^{4} m^{4} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{54700 B a b^{4} m^{3} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{264645 B a b^{4} m^{2} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{561030 B a b^{4} m x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{345800 B a b^{4} x^{16} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{B b^{5} m^{6} x^{19} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{51 B b^{5} m^{5} x^{19} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{1005 B b^{5} m^{4} x^{19} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{9605 B b^{5} m^{3} x^{19} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{45474 B b^{5} m^{2} x^{19} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{95064 B b^{5} m x^{19} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} + \frac{58240 B b^{5} x^{19} x^{m}}{m^{7} + 70 m^{6} + 1974 m^{5} + 28700 m^{4} + 227969 m^{3} + 959070 m^{2} + 1864456 m + 1106560} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*a**5/(18*x**18) - A*a**4*b/(3*x**15) - 5*A*a**3*b**2/(6*x**12) - 10*A*a**2*b**3/(9*x**9) - 5*A*a*b**4/(6*x**6) - A*b**5/(3*x**3) - B*a**5/(15*x**15) - 5*B*a**4*b/(12*x**12) - 10*B*a**3*b**2/(9*x**9) - 5*B*a**2*b**3/(3*x**6) - 5*B*a*b**4/(3*x**3) + B*b**5*log(x), Eq(m, -19)), (-A*a**5/(15*x**15) - 5*A*a**4*b/(12*x**12) - 10*A*a**3*b**2/(9*x**9) - 5*A*a**2*b**3/(3*x**6) - 5*A*a*b**4/(3*x**3) + A*b**5*log(x) - B*a**5/(12*x**12) - 5*B*a**4*b/(9*x**9) - 5*B*a**3*b**2/(3*x**6) - 10*B*a**2*b**3/(3*x**3) + 5*B*a*b**4*log(x) + B*b**5*x**3/3, Eq(m, -16)), (-A*a**5/(12*x**12) - 5*A*a**4*b/(9*x**9) - 5*A*a**3*b**2/(3*x**6) - 10*A*a**2*b**3/(3*x**3) + 5*A*a*b**4*log(x) + A*b**5*x**3/3 - B*a**5/(9*x**9) - 5*B*a**4*b/(6*x**6) - 10*B*a**3*b**2/(3*x**3) + 10*B*a**2*b**3*log(x) + 5*B*a*b**4*x**3/3 + B*b**5*x**6/6, Eq(m, -13)), (-A*a**5/(9*x**9) - 5*A*a**4*b/(6*x**6) - 10*A*a**3*b**2/(3*x**3) + 10*A*a**2*b**3*log(x) + 5*A*a*b**4*x**3/3 + A*b**5*x**6/6 - B*a**5/(6*x**6) - 5*B*a**4*b/(3*x**3) + 10*B*a**3*b**2*log(x) + 10*B*a**2*b**3*x**3/3 + 5*B*a*b**4*x**6/6 + B*b**5*x**9/9, Eq(m, -10)), (-A*a**5/(6*x**6) - 5*A*a**4*b/(3*x**3) + 10*A*a**3*b**2*log(x) + 10*A*a**2*b**3*x**3/3 + 5*A*a*b**4*x**6/6 + A*b**5*x**9/9 - B*a**5/(3*x**3) + 5*B*a**4*b*log(x) + 10*B*a**3*b**2*x**3/3 + 5*B*a**2*b**3*x**6/3 + 5*B*a*b**4*x**9/9 + B*b**5*x**12/12, Eq(m, -7)), (-A*a**5/(3*x**3) + 5*A*a**4*b*log(x) + 10*A*a**3*b**2*x**3/3 + 5*A*a**2*b**3*x**6/3 + 5*A*a*b**4*x**9/9 + A*b**5*x**12/12 + B*a**5*log(x) + 5*B*a**4*b*x**3/3 + 5*B*a**3*b**2*x**6/3 + 10*B*a**2*b**3*x**9/9 + 5*B*a*b**4*x**12/12 + B*b**5*x**15/15, Eq(m, -4)), (A*a**5*log(x) + 5*A*a**4*b*x**3/3 + 5*A*a**3*b**2*x**6/3 + 10*A*a**2*b**3*x**9/9 + 5*A*a*b**4*x**12/12 + A*b**5*x**15/15 + B*a**5*x**3/3 + 5*B*a**4*b*x**6/6 + 10*B*a**3*b**2*x**9/9 + 5*B*a**2*b**3*x**12/6 + B*a*b**4*x**15/3 + B*b**5*x**18/18, Eq(m, -1)), (A*a**5*m**6*x*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 69*A*a**5*m**5*x*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1905*A*a**5*m**4*x*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 26795*A*a**5*m**3*x*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 201174*A*a**5*m**2*x*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 757896*A*a**5*m*x*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1106560*A*a**5*x*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 5*A*a**4*b*m**6*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 330*A*a**4*b*m**5*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 8550*A*a**4*b*m**4*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 109300*A*a**4*b*m**3*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 702645*A*a**4*b*m**2*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1984770*A*a**4*b*m*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1383200*A*a**4*b*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 10*A*a**3*b**2*m**6*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 630*A*a**3*b**2*m**5*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 15330*A*a**3*b**2*m**4*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 179690*A*a**3*b**2*m**3*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1021860*A*a**3*b**2*m**2*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 2437680*A*a**3*b**2*m*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1580800*A*a**3*b**2*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 10*A*a**2*b**3*m**6*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 600*A*a**2*b**3*m**5*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 13740*A*a**2*b**3*m**4*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 149600*A*a**2*b**3*m**3*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 783690*A*a**2*b**3*m**2*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1753800*A*a**2*b**3*m*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1106560*A*a**2*b**3*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 5*A*a*b**4*m**6*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 285*A*a*b**4*m**5*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 6165*A*a*b**4*m**4*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 63355*A*a*b**4*m**3*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 316230*A*a*b**4*m**2*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 684360*A*a*b**4*m*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 425600*A*a*b**4*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + A*b**5*m**6*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 54*A*b**5*m**5*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1110*A*b**5*m**4*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 10940*A*b**5*m**3*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 52929*A*b**5*m**2*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 112206*A*b**5*m*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 69160*A*b**5*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + B*a**5*m**6*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 66*B*a**5*m**5*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1710*B*a**5*m**4*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 21860*B*a**5*m**3*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 140529*B*a**5*m**2*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 396954*B*a**5*m*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 276640*B*a**5*x**4*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 5*B*a**4*b*m**6*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 315*B*a**4*b*m**5*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 7665*B*a**4*b*m**4*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 89845*B*a**4*b*m**3*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 510930*B*a**4*b*m**2*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1218840*B*a**4*b*m*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 790400*B*a**4*b*x**7*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 10*B*a**3*b**2*m**6*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 600*B*a**3*b**2*m**5*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 13740*B*a**3*b**2*m**4*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 149600*B*a**3*b**2*m**3*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 783690*B*a**3*b**2*m**2*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1753800*B*a**3*b**2*m*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1106560*B*a**3*b**2*x**10*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 10*B*a**2*b**3*m**6*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 570*B*a**2*b**3*m**5*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 12330*B*a**2*b**3*m**4*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 126710*B*a**2*b**3*m**3*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 632460*B*a**2*b**3*m**2*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1368720*B*a**2*b**3*m*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 851200*B*a**2*b**3*x**13*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 5*B*a*b**4*m**6*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 270*B*a*b**4*m**5*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 5550*B*a*b**4*m**4*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 54700*B*a*b**4*m**3*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 264645*B*a*b**4*m**2*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 561030*B*a*b**4*m*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 345800*B*a*b**4*x**16*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + B*b**5*m**6*x**19*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 51*B*b**5*m**5*x**19*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 1005*B*b**5*m**4*x**19*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 9605*B*b**5*m**3*x**19*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 45474*B*b**5*m**2*x**19*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 95064*B*b**5*m*x**19*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560) + 58240*B*b**5*x**19*x**m/(m**7 + 70*m**6 + 1974*m**5 + 28700*m**4 + 227969*m**3 + 959070*m**2 + 1864456*m + 1106560), True))","A",0
125,1,1057,0,6.312121," ","integrate(x**m*(b*x**3+a)**2*(B*x**3+A),x)","\begin{cases} - \frac{A a^{2}}{9 x^{9}} - \frac{A a b}{3 x^{6}} - \frac{A b^{2}}{3 x^{3}} - \frac{B a^{2}}{6 x^{6}} - \frac{2 B a b}{3 x^{3}} + B b^{2} \log{\left(x \right)} & \text{for}\: m = -10 \\- \frac{A a^{2}}{6 x^{6}} - \frac{2 A a b}{3 x^{3}} + A b^{2} \log{\left(x \right)} - \frac{B a^{2}}{3 x^{3}} + 2 B a b \log{\left(x \right)} + \frac{B b^{2} x^{3}}{3} & \text{for}\: m = -7 \\- \frac{A a^{2}}{3 x^{3}} + 2 A a b \log{\left(x \right)} + \frac{A b^{2} x^{3}}{3} + B a^{2} \log{\left(x \right)} + \frac{2 B a b x^{3}}{3} + \frac{B b^{2} x^{6}}{6} & \text{for}\: m = -4 \\A a^{2} \log{\left(x \right)} + \frac{2 A a b x^{3}}{3} + \frac{A b^{2} x^{6}}{6} + \frac{B a^{2} x^{3}}{3} + \frac{B a b x^{6}}{3} + \frac{B b^{2} x^{9}}{9} & \text{for}\: m = -1 \\\frac{A a^{2} m^{3} x x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{21 A a^{2} m^{2} x x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{138 A a^{2} m x x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{280 A a^{2} x x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{2 A a b m^{3} x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{36 A a b m^{2} x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{174 A a b m x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{140 A a b x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{A b^{2} m^{3} x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{15 A b^{2} m^{2} x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{54 A b^{2} m x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{40 A b^{2} x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{B a^{2} m^{3} x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{18 B a^{2} m^{2} x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{87 B a^{2} m x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{70 B a^{2} x^{4} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{2 B a b m^{3} x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{30 B a b m^{2} x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{108 B a b m x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{80 B a b x^{7} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{B b^{2} m^{3} x^{10} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{12 B b^{2} m^{2} x^{10} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{39 B b^{2} m x^{10} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} + \frac{28 B b^{2} x^{10} x^{m}}{m^{4} + 22 m^{3} + 159 m^{2} + 418 m + 280} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*a**2/(9*x**9) - A*a*b/(3*x**6) - A*b**2/(3*x**3) - B*a**2/(6*x**6) - 2*B*a*b/(3*x**3) + B*b**2*log(x), Eq(m, -10)), (-A*a**2/(6*x**6) - 2*A*a*b/(3*x**3) + A*b**2*log(x) - B*a**2/(3*x**3) + 2*B*a*b*log(x) + B*b**2*x**3/3, Eq(m, -7)), (-A*a**2/(3*x**3) + 2*A*a*b*log(x) + A*b**2*x**3/3 + B*a**2*log(x) + 2*B*a*b*x**3/3 + B*b**2*x**6/6, Eq(m, -4)), (A*a**2*log(x) + 2*A*a*b*x**3/3 + A*b**2*x**6/6 + B*a**2*x**3/3 + B*a*b*x**6/3 + B*b**2*x**9/9, Eq(m, -1)), (A*a**2*m**3*x*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 21*A*a**2*m**2*x*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 138*A*a**2*m*x*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 280*A*a**2*x*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 2*A*a*b*m**3*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 36*A*a*b*m**2*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 174*A*a*b*m*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 140*A*a*b*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + A*b**2*m**3*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 15*A*b**2*m**2*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 54*A*b**2*m*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 40*A*b**2*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + B*a**2*m**3*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 18*B*a**2*m**2*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 87*B*a**2*m*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 70*B*a**2*x**4*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 2*B*a*b*m**3*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 30*B*a*b*m**2*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 108*B*a*b*m*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 80*B*a*b*x**7*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + B*b**2*m**3*x**10*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 12*B*b**2*m**2*x**10*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 39*B*b**2*m*x**10*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280) + 28*B*b**2*x**10*x**m/(m**4 + 22*m**3 + 159*m**2 + 418*m + 280), True))","A",0
126,1,410,0,2.890585," ","integrate(x**m*(b*x**3+a)*(B*x**3+A),x)","\begin{cases} - \frac{A a}{6 x^{6}} - \frac{A b}{3 x^{3}} - \frac{B a}{3 x^{3}} + B b \log{\left(x \right)} & \text{for}\: m = -7 \\- \frac{A a}{3 x^{3}} + A b \log{\left(x \right)} + B a \log{\left(x \right)} + \frac{B b x^{3}}{3} & \text{for}\: m = -4 \\A a \log{\left(x \right)} + \frac{A b x^{3}}{3} + \frac{B a x^{3}}{3} + \frac{B b x^{6}}{6} & \text{for}\: m = -1 \\\frac{A a m^{2} x x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{11 A a m x x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{28 A a x x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{A b m^{2} x^{4} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{8 A b m x^{4} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{7 A b x^{4} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{B a m^{2} x^{4} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{8 B a m x^{4} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{7 B a x^{4} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{B b m^{2} x^{7} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{5 B b m x^{7} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} + \frac{4 B b x^{7} x^{m}}{m^{3} + 12 m^{2} + 39 m + 28} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*a/(6*x**6) - A*b/(3*x**3) - B*a/(3*x**3) + B*b*log(x), Eq(m, -7)), (-A*a/(3*x**3) + A*b*log(x) + B*a*log(x) + B*b*x**3/3, Eq(m, -4)), (A*a*log(x) + A*b*x**3/3 + B*a*x**3/3 + B*b*x**6/6, Eq(m, -1)), (A*a*m**2*x*x**m/(m**3 + 12*m**2 + 39*m + 28) + 11*A*a*m*x*x**m/(m**3 + 12*m**2 + 39*m + 28) + 28*A*a*x*x**m/(m**3 + 12*m**2 + 39*m + 28) + A*b*m**2*x**4*x**m/(m**3 + 12*m**2 + 39*m + 28) + 8*A*b*m*x**4*x**m/(m**3 + 12*m**2 + 39*m + 28) + 7*A*b*x**4*x**m/(m**3 + 12*m**2 + 39*m + 28) + B*a*m**2*x**4*x**m/(m**3 + 12*m**2 + 39*m + 28) + 8*B*a*m*x**4*x**m/(m**3 + 12*m**2 + 39*m + 28) + 7*B*a*x**4*x**m/(m**3 + 12*m**2 + 39*m + 28) + B*b*m**2*x**7*x**m/(m**3 + 12*m**2 + 39*m + 28) + 5*B*b*m*x**7*x**m/(m**3 + 12*m**2 + 39*m + 28) + 4*B*b*x**7*x**m/(m**3 + 12*m**2 + 39*m + 28), True))","A",0
127,1,190,0,22.061128," ","integrate(x**m*(B*x**3+A)/(b*x**3+a),x)","\frac{A m x x^{m} \Phi\left(\frac{b x^{3} e^{i \pi}}{a}, 1, \frac{m}{3} + \frac{1}{3}\right) \Gamma\left(\frac{m}{3} + \frac{1}{3}\right)}{9 a \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)} + \frac{A x x^{m} \Phi\left(\frac{b x^{3} e^{i \pi}}{a}, 1, \frac{m}{3} + \frac{1}{3}\right) \Gamma\left(\frac{m}{3} + \frac{1}{3}\right)}{9 a \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)} + \frac{B m x^{4} x^{m} \Phi\left(\frac{b x^{3} e^{i \pi}}{a}, 1, \frac{m}{3} + \frac{4}{3}\right) \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)}{9 a \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)} + \frac{4 B x^{4} x^{m} \Phi\left(\frac{b x^{3} e^{i \pi}}{a}, 1, \frac{m}{3} + \frac{4}{3}\right) \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)}{9 a \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)}"," ",0,"A*m*x*x**m*lerchphi(b*x**3*exp_polar(I*pi)/a, 1, m/3 + 1/3)*gamma(m/3 + 1/3)/(9*a*gamma(m/3 + 4/3)) + A*x*x**m*lerchphi(b*x**3*exp_polar(I*pi)/a, 1, m/3 + 1/3)*gamma(m/3 + 1/3)/(9*a*gamma(m/3 + 4/3)) + B*m*x**4*x**m*lerchphi(b*x**3*exp_polar(I*pi)/a, 1, m/3 + 4/3)*gamma(m/3 + 4/3)/(9*a*gamma(m/3 + 7/3)) + 4*B*x**4*x**m*lerchphi(b*x**3*exp_polar(I*pi)/a, 1, m/3 + 4/3)*gamma(m/3 + 4/3)/(9*a*gamma(m/3 + 7/3))","C",0
128,-1,0,0,0.000000," ","integrate(x**m*(B*x**3+A)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate(x**m*(B*x**3+A)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((e*x)**m/(b*x**3+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,1,46,0,20.862206," ","integrate(x**(7/2)*(b*x**3+a)*(B*x**3+A),x)","\frac{2 A a x^{\frac{9}{2}}}{9} + \frac{2 A b x^{\frac{15}{2}}}{15} + \frac{2 B a x^{\frac{15}{2}}}{15} + \frac{2 B b x^{\frac{21}{2}}}{21}"," ",0,"2*A*a*x**(9/2)/9 + 2*A*b*x**(15/2)/15 + 2*B*a*x**(15/2)/15 + 2*B*b*x**(21/2)/21","A",0
132,1,46,0,12.714210," ","integrate(x**(5/2)*(b*x**3+a)*(B*x**3+A),x)","\frac{2 A a x^{\frac{7}{2}}}{7} + \frac{2 A b x^{\frac{13}{2}}}{13} + \frac{2 B a x^{\frac{13}{2}}}{13} + \frac{2 B b x^{\frac{19}{2}}}{19}"," ",0,"2*A*a*x**(7/2)/7 + 2*A*b*x**(13/2)/13 + 2*B*a*x**(13/2)/13 + 2*B*b*x**(19/2)/19","A",0
133,1,46,0,6.742314," ","integrate(x**(3/2)*(b*x**3+a)*(B*x**3+A),x)","\frac{2 A a x^{\frac{5}{2}}}{5} + \frac{2 A b x^{\frac{11}{2}}}{11} + \frac{2 B a x^{\frac{11}{2}}}{11} + \frac{2 B b x^{\frac{17}{2}}}{17}"," ",0,"2*A*a*x**(5/2)/5 + 2*A*b*x**(11/2)/11 + 2*B*a*x**(11/2)/11 + 2*B*b*x**(17/2)/17","A",0
134,1,46,0,3.369692," ","integrate((b*x**3+a)*(B*x**3+A)*x**(1/2),x)","\frac{2 A a x^{\frac{3}{2}}}{3} + \frac{2 A b x^{\frac{9}{2}}}{9} + \frac{2 B a x^{\frac{9}{2}}}{9} + \frac{2 B b x^{\frac{15}{2}}}{15}"," ",0,"2*A*a*x**(3/2)/3 + 2*A*b*x**(9/2)/9 + 2*B*a*x**(9/2)/9 + 2*B*b*x**(15/2)/15","A",0
135,1,44,0,2.299211," ","integrate((b*x**3+a)*(B*x**3+A)/x**(1/2),x)","2 A a \sqrt{x} + \frac{2 A b x^{\frac{7}{2}}}{7} + \frac{2 B a x^{\frac{7}{2}}}{7} + \frac{2 B b x^{\frac{13}{2}}}{13}"," ",0,"2*A*a*sqrt(x) + 2*A*b*x**(7/2)/7 + 2*B*a*x**(7/2)/7 + 2*B*b*x**(13/2)/13","A",0
136,1,44,0,2.771802," ","integrate((b*x**3+a)*(B*x**3+A)/x**(3/2),x)","- \frac{2 A a}{\sqrt{x}} + \frac{2 A b x^{\frac{5}{2}}}{5} + \frac{2 B a x^{\frac{5}{2}}}{5} + \frac{2 B b x^{\frac{11}{2}}}{11}"," ",0,"-2*A*a/sqrt(x) + 2*A*b*x**(5/2)/5 + 2*B*a*x**(5/2)/5 + 2*B*b*x**(11/2)/11","A",0
137,1,46,0,3.735580," ","integrate((b*x**3+a)*(B*x**3+A)/x**(5/2),x)","- \frac{2 A a}{3 x^{\frac{3}{2}}} + \frac{2 A b x^{\frac{3}{2}}}{3} + \frac{2 B a x^{\frac{3}{2}}}{3} + \frac{2 B b x^{\frac{9}{2}}}{9}"," ",0,"-2*A*a/(3*x**(3/2)) + 2*A*b*x**(3/2)/3 + 2*B*a*x**(3/2)/3 + 2*B*b*x**(9/2)/9","A",0
138,1,42,0,4.205045," ","integrate((b*x**3+a)*(B*x**3+A)/x**(7/2),x)","- \frac{2 A a}{5 x^{\frac{5}{2}}} + 2 A b \sqrt{x} + 2 B a \sqrt{x} + \frac{2 B b x^{\frac{7}{2}}}{7}"," ",0,"-2*A*a/(5*x**(5/2)) + 2*A*b*sqrt(x) + 2*B*a*sqrt(x) + 2*B*b*x**(7/2)/7","A",0
139,1,80,0,47.810086," ","integrate(x**(7/2)*(b*x**3+a)**2*(B*x**3+A),x)","\frac{2 A a^{2} x^{\frac{9}{2}}}{9} + \frac{4 A a b x^{\frac{15}{2}}}{15} + \frac{2 A b^{2} x^{\frac{21}{2}}}{21} + \frac{2 B a^{2} x^{\frac{15}{2}}}{15} + \frac{4 B a b x^{\frac{21}{2}}}{21} + \frac{2 B b^{2} x^{\frac{27}{2}}}{27}"," ",0,"2*A*a**2*x**(9/2)/9 + 4*A*a*b*x**(15/2)/15 + 2*A*b**2*x**(21/2)/21 + 2*B*a**2*x**(15/2)/15 + 4*B*a*b*x**(21/2)/21 + 2*B*b**2*x**(27/2)/27","A",0
140,1,80,0,29.392049," ","integrate(x**(5/2)*(b*x**3+a)**2*(B*x**3+A),x)","\frac{2 A a^{2} x^{\frac{7}{2}}}{7} + \frac{4 A a b x^{\frac{13}{2}}}{13} + \frac{2 A b^{2} x^{\frac{19}{2}}}{19} + \frac{2 B a^{2} x^{\frac{13}{2}}}{13} + \frac{4 B a b x^{\frac{19}{2}}}{19} + \frac{2 B b^{2} x^{\frac{25}{2}}}{25}"," ",0,"2*A*a**2*x**(7/2)/7 + 4*A*a*b*x**(13/2)/13 + 2*A*b**2*x**(19/2)/19 + 2*B*a**2*x**(13/2)/13 + 4*B*a*b*x**(19/2)/19 + 2*B*b**2*x**(25/2)/25","A",0
141,1,80,0,21.959780," ","integrate(x**(3/2)*(b*x**3+a)**2*(B*x**3+A),x)","\frac{2 A a^{2} x^{\frac{5}{2}}}{5} + \frac{4 A a b x^{\frac{11}{2}}}{11} + \frac{2 A b^{2} x^{\frac{17}{2}}}{17} + \frac{2 B a^{2} x^{\frac{11}{2}}}{11} + \frac{4 B a b x^{\frac{17}{2}}}{17} + \frac{2 B b^{2} x^{\frac{23}{2}}}{23}"," ",0,"2*A*a**2*x**(5/2)/5 + 4*A*a*b*x**(11/2)/11 + 2*A*b**2*x**(17/2)/17 + 2*B*a**2*x**(11/2)/11 + 4*B*a*b*x**(17/2)/17 + 2*B*b**2*x**(23/2)/23","A",0
142,1,80,0,5.313792," ","integrate((b*x**3+a)**2*(B*x**3+A)*x**(1/2),x)","\frac{2 A a^{2} x^{\frac{3}{2}}}{3} + \frac{4 A a b x^{\frac{9}{2}}}{9} + \frac{2 A b^{2} x^{\frac{15}{2}}}{15} + \frac{2 B a^{2} x^{\frac{9}{2}}}{9} + \frac{4 B a b x^{\frac{15}{2}}}{15} + \frac{2 B b^{2} x^{\frac{21}{2}}}{21}"," ",0,"2*A*a**2*x**(3/2)/3 + 4*A*a*b*x**(9/2)/9 + 2*A*b**2*x**(15/2)/15 + 2*B*a**2*x**(9/2)/9 + 4*B*a*b*x**(15/2)/15 + 2*B*b**2*x**(21/2)/21","A",0
143,1,78,0,9.219348," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**(1/2),x)","2 A a^{2} \sqrt{x} + \frac{4 A a b x^{\frac{7}{2}}}{7} + \frac{2 A b^{2} x^{\frac{13}{2}}}{13} + \frac{2 B a^{2} x^{\frac{7}{2}}}{7} + \frac{4 B a b x^{\frac{13}{2}}}{13} + \frac{2 B b^{2} x^{\frac{19}{2}}}{19}"," ",0,"2*A*a**2*sqrt(x) + 4*A*a*b*x**(7/2)/7 + 2*A*b**2*x**(13/2)/13 + 2*B*a**2*x**(7/2)/7 + 4*B*a*b*x**(13/2)/13 + 2*B*b**2*x**(19/2)/19","A",0
144,1,78,0,7.796485," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**(3/2),x)","- \frac{2 A a^{2}}{\sqrt{x}} + \frac{4 A a b x^{\frac{5}{2}}}{5} + \frac{2 A b^{2} x^{\frac{11}{2}}}{11} + \frac{2 B a^{2} x^{\frac{5}{2}}}{5} + \frac{4 B a b x^{\frac{11}{2}}}{11} + \frac{2 B b^{2} x^{\frac{17}{2}}}{17}"," ",0,"-2*A*a**2/sqrt(x) + 4*A*a*b*x**(5/2)/5 + 2*A*b**2*x**(11/2)/11 + 2*B*a**2*x**(5/2)/5 + 4*B*a*b*x**(11/2)/11 + 2*B*b**2*x**(17/2)/17","A",0
145,1,80,0,11.737432," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**(5/2),x)","- \frac{2 A a^{2}}{3 x^{\frac{3}{2}}} + \frac{4 A a b x^{\frac{3}{2}}}{3} + \frac{2 A b^{2} x^{\frac{9}{2}}}{9} + \frac{2 B a^{2} x^{\frac{3}{2}}}{3} + \frac{4 B a b x^{\frac{9}{2}}}{9} + \frac{2 B b^{2} x^{\frac{15}{2}}}{15}"," ",0,"-2*A*a**2/(3*x**(3/2)) + 4*A*a*b*x**(3/2)/3 + 2*A*b**2*x**(9/2)/9 + 2*B*a**2*x**(3/2)/3 + 4*B*a*b*x**(9/2)/9 + 2*B*b**2*x**(15/2)/15","A",0
146,1,76,0,18.414068," ","integrate((b*x**3+a)**2*(B*x**3+A)/x**(7/2),x)","- \frac{2 A a^{2}}{5 x^{\frac{5}{2}}} + 4 A a b \sqrt{x} + \frac{2 A b^{2} x^{\frac{7}{2}}}{7} + 2 B a^{2} \sqrt{x} + \frac{4 B a b x^{\frac{7}{2}}}{7} + \frac{2 B b^{2} x^{\frac{13}{2}}}{13}"," ",0,"-2*A*a**2/(5*x**(5/2)) + 4*A*a*b*sqrt(x) + 2*A*b**2*x**(7/2)/7 + 2*B*a**2*sqrt(x) + 4*B*a*b*x**(7/2)/7 + 2*B*b**2*x**(13/2)/13","A",0
147,1,114,0,92.985624," ","integrate(x**(7/2)*(b*x**3+a)**3*(B*x**3+A),x)","\frac{2 A a^{3} x^{\frac{9}{2}}}{9} + \frac{2 A a^{2} b x^{\frac{15}{2}}}{5} + \frac{2 A a b^{2} x^{\frac{21}{2}}}{7} + \frac{2 A b^{3} x^{\frac{27}{2}}}{27} + \frac{2 B a^{3} x^{\frac{15}{2}}}{15} + \frac{2 B a^{2} b x^{\frac{21}{2}}}{7} + \frac{2 B a b^{2} x^{\frac{27}{2}}}{9} + \frac{2 B b^{3} x^{\frac{33}{2}}}{33}"," ",0,"2*A*a**3*x**(9/2)/9 + 2*A*a**2*b*x**(15/2)/5 + 2*A*a*b**2*x**(21/2)/7 + 2*A*b**3*x**(27/2)/27 + 2*B*a**3*x**(15/2)/15 + 2*B*a**2*b*x**(21/2)/7 + 2*B*a*b**2*x**(27/2)/9 + 2*B*b**3*x**(33/2)/33","A",0
148,1,114,0,58.699198," ","integrate(x**(5/2)*(b*x**3+a)**3*(B*x**3+A),x)","\frac{2 A a^{3} x^{\frac{7}{2}}}{7} + \frac{6 A a^{2} b x^{\frac{13}{2}}}{13} + \frac{6 A a b^{2} x^{\frac{19}{2}}}{19} + \frac{2 A b^{3} x^{\frac{25}{2}}}{25} + \frac{2 B a^{3} x^{\frac{13}{2}}}{13} + \frac{6 B a^{2} b x^{\frac{19}{2}}}{19} + \frac{6 B a b^{2} x^{\frac{25}{2}}}{25} + \frac{2 B b^{3} x^{\frac{31}{2}}}{31}"," ",0,"2*A*a**3*x**(7/2)/7 + 6*A*a**2*b*x**(13/2)/13 + 6*A*a*b**2*x**(19/2)/19 + 2*A*b**3*x**(25/2)/25 + 2*B*a**3*x**(13/2)/13 + 6*B*a**2*b*x**(19/2)/19 + 6*B*a*b**2*x**(25/2)/25 + 2*B*b**3*x**(31/2)/31","A",0
149,1,114,0,39.599280," ","integrate(x**(3/2)*(b*x**3+a)**3*(B*x**3+A),x)","\frac{2 A a^{3} x^{\frac{5}{2}}}{5} + \frac{6 A a^{2} b x^{\frac{11}{2}}}{11} + \frac{6 A a b^{2} x^{\frac{17}{2}}}{17} + \frac{2 A b^{3} x^{\frac{23}{2}}}{23} + \frac{2 B a^{3} x^{\frac{11}{2}}}{11} + \frac{6 B a^{2} b x^{\frac{17}{2}}}{17} + \frac{6 B a b^{2} x^{\frac{23}{2}}}{23} + \frac{2 B b^{3} x^{\frac{29}{2}}}{29}"," ",0,"2*A*a**3*x**(5/2)/5 + 6*A*a**2*b*x**(11/2)/11 + 6*A*a*b**2*x**(17/2)/17 + 2*A*b**3*x**(23/2)/23 + 2*B*a**3*x**(11/2)/11 + 6*B*a**2*b*x**(17/2)/17 + 6*B*a*b**2*x**(23/2)/23 + 2*B*b**3*x**(29/2)/29","A",0
150,1,114,0,6.340843," ","integrate((b*x**3+a)**3*(B*x**3+A)*x**(1/2),x)","\frac{2 A a^{3} x^{\frac{3}{2}}}{3} + \frac{2 A a^{2} b x^{\frac{9}{2}}}{3} + \frac{2 A a b^{2} x^{\frac{15}{2}}}{5} + \frac{2 A b^{3} x^{\frac{21}{2}}}{21} + \frac{2 B a^{3} x^{\frac{9}{2}}}{9} + \frac{2 B a^{2} b x^{\frac{15}{2}}}{5} + \frac{2 B a b^{2} x^{\frac{21}{2}}}{7} + \frac{2 B b^{3} x^{\frac{27}{2}}}{27}"," ",0,"2*A*a**3*x**(3/2)/3 + 2*A*a**2*b*x**(9/2)/3 + 2*A*a*b**2*x**(15/2)/5 + 2*A*b**3*x**(21/2)/21 + 2*B*a**3*x**(9/2)/9 + 2*B*a**2*b*x**(15/2)/5 + 2*B*a*b**2*x**(21/2)/7 + 2*B*b**3*x**(27/2)/27","A",0
151,1,112,0,23.640190," ","integrate((b*x**3+a)**3*(B*x**3+A)/x**(1/2),x)","2 A a^{3} \sqrt{x} + \frac{6 A a^{2} b x^{\frac{7}{2}}}{7} + \frac{6 A a b^{2} x^{\frac{13}{2}}}{13} + \frac{2 A b^{3} x^{\frac{19}{2}}}{19} + \frac{2 B a^{3} x^{\frac{7}{2}}}{7} + \frac{6 B a^{2} b x^{\frac{13}{2}}}{13} + \frac{6 B a b^{2} x^{\frac{19}{2}}}{19} + \frac{2 B b^{3} x^{\frac{25}{2}}}{25}"," ",0,"2*A*a**3*sqrt(x) + 6*A*a**2*b*x**(7/2)/7 + 6*A*a*b**2*x**(13/2)/13 + 2*A*b**3*x**(19/2)/19 + 2*B*a**3*x**(7/2)/7 + 6*B*a**2*b*x**(13/2)/13 + 6*B*a*b**2*x**(19/2)/19 + 2*B*b**3*x**(25/2)/25","A",0
152,1,112,0,19.487897," ","integrate((b*x**3+a)**3*(B*x**3+A)/x**(3/2),x)","- \frac{2 A a^{3}}{\sqrt{x}} + \frac{6 A a^{2} b x^{\frac{5}{2}}}{5} + \frac{6 A a b^{2} x^{\frac{11}{2}}}{11} + \frac{2 A b^{3} x^{\frac{17}{2}}}{17} + \frac{2 B a^{3} x^{\frac{5}{2}}}{5} + \frac{6 B a^{2} b x^{\frac{11}{2}}}{11} + \frac{6 B a b^{2} x^{\frac{17}{2}}}{17} + \frac{2 B b^{3} x^{\frac{23}{2}}}{23}"," ",0,"-2*A*a**3/sqrt(x) + 6*A*a**2*b*x**(5/2)/5 + 6*A*a*b**2*x**(11/2)/11 + 2*A*b**3*x**(17/2)/17 + 2*B*a**3*x**(5/2)/5 + 6*B*a**2*b*x**(11/2)/11 + 6*B*a*b**2*x**(17/2)/17 + 2*B*b**3*x**(23/2)/23","A",0
153,1,112,0,28.368041," ","integrate((b*x**3+a)**3*(B*x**3+A)/x**(5/2),x)","- \frac{2 A a^{3}}{3 x^{\frac{3}{2}}} + 2 A a^{2} b x^{\frac{3}{2}} + \frac{2 A a b^{2} x^{\frac{9}{2}}}{3} + \frac{2 A b^{3} x^{\frac{15}{2}}}{15} + \frac{2 B a^{3} x^{\frac{3}{2}}}{3} + \frac{2 B a^{2} b x^{\frac{9}{2}}}{3} + \frac{2 B a b^{2} x^{\frac{15}{2}}}{5} + \frac{2 B b^{3} x^{\frac{21}{2}}}{21}"," ",0,"-2*A*a**3/(3*x**(3/2)) + 2*A*a**2*b*x**(3/2) + 2*A*a*b**2*x**(9/2)/3 + 2*A*b**3*x**(15/2)/15 + 2*B*a**3*x**(3/2)/3 + 2*B*a**2*b*x**(9/2)/3 + 2*B*a*b**2*x**(15/2)/5 + 2*B*b**3*x**(21/2)/21","A",0
154,1,110,0,29.278149," ","integrate((b*x**3+a)**3*(B*x**3+A)/x**(7/2),x)","- \frac{2 A a^{3}}{5 x^{\frac{5}{2}}} + 6 A a^{2} b \sqrt{x} + \frac{6 A a b^{2} x^{\frac{7}{2}}}{7} + \frac{2 A b^{3} x^{\frac{13}{2}}}{13} + 2 B a^{3} \sqrt{x} + \frac{6 B a^{2} b x^{\frac{7}{2}}}{7} + \frac{6 B a b^{2} x^{\frac{13}{2}}}{13} + \frac{2 B b^{3} x^{\frac{19}{2}}}{19}"," ",0,"-2*A*a**3/(5*x**(5/2)) + 6*A*a**2*b*sqrt(x) + 6*A*a*b**2*x**(7/2)/7 + 2*A*b**3*x**(13/2)/13 + 2*B*a**3*sqrt(x) + 6*B*a**2*b*x**(7/2)/7 + 6*B*a*b**2*x**(13/2)/13 + 2*B*b**3*x**(19/2)/19","A",0
155,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x**3+A)/(b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,1,881,0,177.799637," ","integrate(x**(5/2)*(B*x**3+A)/(b*x**3+a),x)","\begin{cases} \tilde{\infty} \left(2 A \sqrt{x} + \frac{2 B x^{\frac{7}{2}}}{7}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{7}{2}}}{7}}{b} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{7}{2}}}{7} + \frac{2 B x^{\frac{13}{2}}}{13}}{a} & \text{for}\: b = 0 \\\frac{\sqrt[6]{-1} A \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b} - \frac{\sqrt[6]{-1} A \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b} + \frac{\sqrt[6]{-1} A \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b} - \frac{\sqrt[6]{-1} A \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b} - \frac{\sqrt[6]{-1} \sqrt{3} A \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b} + \frac{\sqrt[6]{-1} \sqrt{3} A \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b} + \frac{2 A \sqrt{x}}{b} - \frac{\sqrt[6]{-1} B a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}} \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b^{2}} + \frac{\sqrt[6]{-1} B a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}} \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b^{2}} - \frac{\sqrt[6]{-1} B a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}} \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b^{2}} + \frac{\sqrt[6]{-1} B a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}} \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b^{2}} + \frac{\sqrt[6]{-1} \sqrt{3} B a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b^{2}} - \frac{\sqrt[6]{-1} \sqrt{3} B a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b^{2}} - \frac{2 B a \sqrt{x}}{b^{2}} + \frac{2 B x^{\frac{7}{2}}}{7 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*sqrt(x) + 2*B*x**(7/2)/7), Eq(a, 0) & Eq(b, 0)), ((2*A*sqrt(x) + 2*B*x**(7/2)/7)/b, Eq(a, 0)), ((2*A*x**(7/2)/7 + 2*B*x**(13/2)/13)/a, Eq(b, 0)), ((-1)**(1/6)*A*a**(1/6)*(1/b)**(1/6)*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b) - (-1)**(1/6)*A*a**(1/6)*(1/b)**(1/6)*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b) + (-1)**(1/6)*A*a**(1/6)*(1/b)**(1/6)*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b) - (-1)**(1/6)*A*a**(1/6)*(1/b)**(1/6)*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b) - (-1)**(1/6)*sqrt(3)*A*a**(1/6)*(1/b)**(1/6)*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b) + (-1)**(1/6)*sqrt(3)*A*a**(1/6)*(1/b)**(1/6)*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b) + 2*A*sqrt(x)/b - (-1)**(1/6)*B*a**(7/6)*(1/b)**(1/6)*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b**2) + (-1)**(1/6)*B*a**(7/6)*(1/b)**(1/6)*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b**2) - (-1)**(1/6)*B*a**(7/6)*(1/b)**(1/6)*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b**2) + (-1)**(1/6)*B*a**(7/6)*(1/b)**(1/6)*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b**2) + (-1)**(1/6)*sqrt(3)*B*a**(7/6)*(1/b)**(1/6)*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b**2) - (-1)**(1/6)*sqrt(3)*B*a**(7/6)*(1/b)**(1/6)*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b**2) - 2*B*a*sqrt(x)/b**2 + 2*B*x**(7/2)/(7*b), True))","A",0
157,1,857,0,64.298624," ","integrate(x**(3/2)*(B*x**3+A)/(b*x**3+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{\sqrt{x}} + \frac{2 B x^{\frac{5}{2}}}{5}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + \frac{2 B x^{\frac{5}{2}}}{5}}{b} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{5}{2}}}{5} + \frac{2 B x^{\frac{11}{2}}}{11}}{a} & \text{for}\: b = 0 \\- \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} A \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} A \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} B a^{\frac{5}{6}} \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b^{2} \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} B a^{\frac{5}{6}} \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b^{2} \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} B a^{\frac{5}{6}} \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b^{2} \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} B a^{\frac{5}{6}} \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b^{2} \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} B a^{\frac{5}{6}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b^{2} \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} B a^{\frac{5}{6}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b^{2} \sqrt[6]{\frac{1}{b}}} + \frac{2 B x^{\frac{5}{2}}}{5 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/sqrt(x) + 2*B*x**(5/2)/5), Eq(a, 0) & Eq(b, 0)), ((-2*A/sqrt(x) + 2*B*x**(5/2)/5)/b, Eq(a, 0)), ((2*A*x**(5/2)/5 + 2*B*x**(11/2)/11)/a, Eq(b, 0)), (-(-1)**(5/6)*A*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(1/6)*b*(1/b)**(1/6)) + (-1)**(5/6)*A*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(1/6)*b*(1/b)**(1/6)) - (-1)**(5/6)*A*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(1/6)*b*(1/b)**(1/6)) + (-1)**(5/6)*A*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(1/6)*b*(1/b)**(1/6)) - (-1)**(5/6)*sqrt(3)*A*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(1/6)*b*(1/b)**(1/6)) + (-1)**(5/6)*sqrt(3)*A*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(1/6)*b*(1/b)**(1/6)) + (-1)**(5/6)*B*a**(5/6)*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b**2*(1/b)**(1/6)) - (-1)**(5/6)*B*a**(5/6)*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b**2*(1/b)**(1/6)) + (-1)**(5/6)*B*a**(5/6)*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b**2*(1/b)**(1/6)) - (-1)**(5/6)*B*a**(5/6)*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b**2*(1/b)**(1/6)) + (-1)**(5/6)*sqrt(3)*B*a**(5/6)*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b**2*(1/b)**(1/6)) - (-1)**(5/6)*sqrt(3)*B*a**(5/6)*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b**2*(1/b)**(1/6)) + 2*B*x**(5/2)/(5*b), True))","A",0
158,1,537,0,22.390373," ","integrate((B*x**3+A)*x**(1/2)/(b*x**3+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{3 x^{\frac{3}{2}}} + \frac{2 B x^{\frac{3}{2}}}{3}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} + \frac{2 B x^{\frac{3}{2}}}{3}}{b} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{3}{2}}}{3} + \frac{2 B x^{\frac{9}{2}}}{9}}{a} & \text{for}\: b = 0 \\- \frac{i A \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i A \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i A \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} - \frac{i A \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i B \sqrt{a} \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b^{2} \sqrt{\frac{1}{b}}} - \frac{i B \sqrt{a} \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b^{2} \sqrt{\frac{1}{b}}} - \frac{i B \sqrt{a} \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 b^{2} \sqrt{\frac{1}{b}}} + \frac{i B \sqrt{a} \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 b^{2} \sqrt{\frac{1}{b}}} + \frac{2 B x^{\frac{3}{2}}}{3 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(3*x**(3/2)) + 2*B*x**(3/2)/3), Eq(a, 0) & Eq(b, 0)), ((-2*A/(3*x**(3/2)) + 2*B*x**(3/2)/3)/b, Eq(a, 0)), ((2*A*x**(3/2)/3 + 2*B*x**(9/2)/9)/a, Eq(b, 0)), (-I*A*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*sqrt(a)*b*sqrt(1/b)) + I*A*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*sqrt(a)*b*sqrt(1/b)) + I*A*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*sqrt(a)*b*sqrt(1/b)) - I*A*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*sqrt(a)*b*sqrt(1/b)) + I*B*sqrt(a)*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b**2*sqrt(1/b)) - I*B*sqrt(a)*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b**2*sqrt(1/b)) - I*B*sqrt(a)*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*b**2*sqrt(1/b)) + I*B*sqrt(a)*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*b**2*sqrt(1/b)) + 2*B*x**(3/2)/(3*b), True))","A",0
159,1,833,0,23.158287," ","integrate((B*x**3+A)/(b*x**3+a)/x**(1/2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{5 x^{\frac{5}{2}}} + 2 B \sqrt{x}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{5 x^{\frac{5}{2}}} + 2 B \sqrt{x}}{b} & \text{for}\: a = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{7}{2}}}{7}}{a} & \text{for}\: b = 0 \\- \frac{\sqrt[6]{-1} A \sqrt[6]{\frac{1}{b}} \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 a^{\frac{5}{6}}} + \frac{\sqrt[6]{-1} A \sqrt[6]{\frac{1}{b}} \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 a^{\frac{5}{6}}} - \frac{\sqrt[6]{-1} A \sqrt[6]{\frac{1}{b}} \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 a^{\frac{5}{6}}} + \frac{\sqrt[6]{-1} A \sqrt[6]{\frac{1}{b}} \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 a^{\frac{5}{6}}} + \frac{\sqrt[6]{-1} \sqrt{3} A \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 a^{\frac{5}{6}}} - \frac{\sqrt[6]{-1} \sqrt{3} A \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 a^{\frac{5}{6}}} + \frac{\sqrt[6]{-1} B \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b} - \frac{\sqrt[6]{-1} B \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 b} + \frac{\sqrt[6]{-1} B \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b} - \frac{\sqrt[6]{-1} B \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 b} - \frac{\sqrt[6]{-1} \sqrt{3} B \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b} + \frac{\sqrt[6]{-1} \sqrt{3} B \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 b} + \frac{2 B \sqrt{x}}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(5*x**(5/2)) + 2*B*sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((-2*A/(5*x**(5/2)) + 2*B*sqrt(x))/b, Eq(a, 0)), ((2*A*sqrt(x) + 2*B*x**(7/2)/7)/a, Eq(b, 0)), (-(-1)**(1/6)*A*(1/b)**(1/6)*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(5/6)) + (-1)**(1/6)*A*(1/b)**(1/6)*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(5/6)) - (-1)**(1/6)*A*(1/b)**(1/6)*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(5/6)) + (-1)**(1/6)*A*(1/b)**(1/6)*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(5/6)) + (-1)**(1/6)*sqrt(3)*A*(1/b)**(1/6)*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(5/6)) - (-1)**(1/6)*sqrt(3)*A*(1/b)**(1/6)*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(5/6)) + (-1)**(1/6)*B*a**(1/6)*(1/b)**(1/6)*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b) - (-1)**(1/6)*B*a**(1/6)*(1/b)**(1/6)*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*b) + (-1)**(1/6)*B*a**(1/6)*(1/b)**(1/6)*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b) - (-1)**(1/6)*B*a**(1/6)*(1/b)**(1/6)*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*b) - (-1)**(1/6)*sqrt(3)*B*a**(1/6)*(1/b)**(1/6)*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b) + (-1)**(1/6)*sqrt(3)*B*a**(1/6)*(1/b)**(1/6)*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*b) + 2*B*sqrt(x)/b, True))","A",0
160,1,836,0,59.225630," ","integrate((B*x**3+A)/x**(3/2)/(b*x**3+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{\sqrt{x}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{\sqrt{x}}}{b} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + \frac{2 B x^{\frac{5}{2}}}{5}}{a} & \text{for}\: b = 0 \\- \frac{2 A}{a \sqrt{x}} + \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} A \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} A \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} A \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 a^{\frac{7}{6}} \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} B \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} B \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} B \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} B \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{6 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} - \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} B \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{5}{6}} \sqrt{3} B \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{5}{6}} \sqrt{3} \sqrt{x}}{3 \sqrt[6]{a} \sqrt[6]{\frac{1}{b}}} \right)}}{3 \sqrt[6]{a} b \sqrt[6]{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(7*x**(7/2)) - 2*B/sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((-2*A/(7*x**(7/2)) - 2*B/sqrt(x))/b, Eq(a, 0)), ((-2*A/sqrt(x) + 2*B*x**(5/2)/5)/a, Eq(b, 0)), (-2*A/(a*sqrt(x)) + (-1)**(5/6)*A*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(7/6)*(1/b)**(1/6)) - (-1)**(5/6)*A*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(7/6)*(1/b)**(1/6)) + (-1)**(5/6)*A*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(7/6)*(1/b)**(1/6)) - (-1)**(5/6)*A*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(7/6)*(1/b)**(1/6)) + (-1)**(5/6)*sqrt(3)*A*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(7/6)*(1/b)**(1/6)) - (-1)**(5/6)*sqrt(3)*A*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(7/6)*(1/b)**(1/6)) - (-1)**(5/6)*B*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(1/6)*b*(1/b)**(1/6)) + (-1)**(5/6)*B*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(1/6)*b*(1/b)**(1/6)) - (-1)**(5/6)*B*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(1/6)*b*(1/b)**(1/6)) + (-1)**(5/6)*B*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(6*a**(1/6)*b*(1/b)**(1/6)) - (-1)**(5/6)*sqrt(3)*B*atan(sqrt(3)/3 - 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(1/6)*b*(1/b)**(1/6)) + (-1)**(5/6)*sqrt(3)*B*atan(sqrt(3)/3 + 2*(-1)**(5/6)*sqrt(3)*sqrt(x)/(3*a**(1/6)*(1/b)**(1/6)))/(3*a**(1/6)*b*(1/b)**(1/6)), True))","A",0
161,1,527,0,156.583541," ","integrate((B*x**3+A)/x**(5/2)/(b*x**3+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}}{b} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} + \frac{2 B x^{\frac{3}{2}}}{3}}{a} & \text{for}\: b = 0 \\- \frac{2 A}{3 a x^{\frac{3}{2}}} + \frac{i A \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{i A \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{i A \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} + \frac{i A \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{i B \log{\left(- \sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i B \log{\left(\sqrt[6]{-1} \sqrt[6]{a} \sqrt[6]{\frac{1}{b}} + \sqrt{x} \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i B \log{\left(- 4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} - \frac{i B \log{\left(4 \sqrt[6]{-1} \sqrt[6]{a} \sqrt{x} \sqrt[6]{\frac{1}{b}} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + 4 x \right)}}{3 \sqrt{a} b \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(9*x**(9/2)) - 2*B/(3*x**(3/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(9*x**(9/2)) - 2*B/(3*x**(3/2)))/b, Eq(a, 0)), ((-2*A/(3*x**(3/2)) + 2*B*x**(3/2)/3)/a, Eq(b, 0)), (-2*A/(3*a*x**(3/2)) + I*A*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(3/2)*sqrt(1/b)) - I*A*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*a**(3/2)*sqrt(1/b)) - I*A*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*a**(3/2)*sqrt(1/b)) + I*A*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*a**(3/2)*sqrt(1/b)) - I*B*log(-(-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*sqrt(a)*b*sqrt(1/b)) + I*B*log((-1)**(1/6)*a**(1/6)*(1/b)**(1/6) + sqrt(x))/(3*sqrt(a)*b*sqrt(1/b)) + I*B*log(-4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*sqrt(a)*b*sqrt(1/b)) - I*B*log(4*(-1)**(1/6)*a**(1/6)*sqrt(x)*(1/b)**(1/6) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + 4*x)/(3*sqrt(a)*b*sqrt(1/b)), True))","A",0
162,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**(7/2)/(b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x**3+A)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x**3+A)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,-1,0,0,0.000000," ","integrate(x**(3/2)*(B*x**3+A)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate((B*x**3+A)*x**(1/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate((B*x**3+A)/(b*x**3+a)**2/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**(3/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**(5/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**(7/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x**3+A)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x**3+A)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate(x**(3/2)*(B*x**3+A)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate((B*x**3+A)*x**(1/2)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-1,0,0,0.000000," ","integrate((B*x**3+A)/(b*x**3+a)**3/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**(3/2)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**(5/2)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**(7/2)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,1,219,0,4.166381," ","integrate(x**8*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\begin{cases} \frac{16 A a^{3} \sqrt{a + b x^{3}}}{315 b^{3}} - \frac{8 A a^{2} x^{3} \sqrt{a + b x^{3}}}{315 b^{2}} + \frac{2 A a x^{6} \sqrt{a + b x^{3}}}{105 b} + \frac{2 A x^{9} \sqrt{a + b x^{3}}}{21} - \frac{32 B a^{4} \sqrt{a + b x^{3}}}{945 b^{4}} + \frac{16 B a^{3} x^{3} \sqrt{a + b x^{3}}}{945 b^{3}} - \frac{4 B a^{2} x^{6} \sqrt{a + b x^{3}}}{315 b^{2}} + \frac{2 B a x^{9} \sqrt{a + b x^{3}}}{189 b} + \frac{2 B x^{12} \sqrt{a + b x^{3}}}{27} & \text{for}\: b \neq 0 \\\sqrt{a} \left(\frac{A x^{9}}{9} + \frac{B x^{12}}{12}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*A*a**3*sqrt(a + b*x**3)/(315*b**3) - 8*A*a**2*x**3*sqrt(a + b*x**3)/(315*b**2) + 2*A*a*x**6*sqrt(a + b*x**3)/(105*b) + 2*A*x**9*sqrt(a + b*x**3)/21 - 32*B*a**4*sqrt(a + b*x**3)/(945*b**4) + 16*B*a**3*x**3*sqrt(a + b*x**3)/(945*b**3) - 4*B*a**2*x**6*sqrt(a + b*x**3)/(315*b**2) + 2*B*a*x**9*sqrt(a + b*x**3)/(189*b) + 2*B*x**12*sqrt(a + b*x**3)/27, Ne(b, 0)), (sqrt(a)*(A*x**9/9 + B*x**12/12), True))","A",0
180,1,168,0,1.818220," ","integrate(x**5*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\begin{cases} - \frac{4 A a^{2} \sqrt{a + b x^{3}}}{45 b^{2}} + \frac{2 A a x^{3} \sqrt{a + b x^{3}}}{45 b} + \frac{2 A x^{6} \sqrt{a + b x^{3}}}{15} + \frac{16 B a^{3} \sqrt{a + b x^{3}}}{315 b^{3}} - \frac{8 B a^{2} x^{3} \sqrt{a + b x^{3}}}{315 b^{2}} + \frac{2 B a x^{6} \sqrt{a + b x^{3}}}{105 b} + \frac{2 B x^{9} \sqrt{a + b x^{3}}}{21} & \text{for}\: b \neq 0 \\\sqrt{a} \left(\frac{A x^{6}}{6} + \frac{B x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*A*a**2*sqrt(a + b*x**3)/(45*b**2) + 2*A*a*x**3*sqrt(a + b*x**3)/(45*b) + 2*A*x**6*sqrt(a + b*x**3)/15 + 16*B*a**3*sqrt(a + b*x**3)/(315*b**3) - 8*B*a**2*x**3*sqrt(a + b*x**3)/(315*b**2) + 2*B*a*x**6*sqrt(a + b*x**3)/(105*b) + 2*B*x**9*sqrt(a + b*x**3)/21, Ne(b, 0)), (sqrt(a)*(A*x**6/6 + B*x**9/9), True))","A",0
181,1,117,0,0.737559," ","integrate(x**2*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\begin{cases} \frac{2 A a \sqrt{a + b x^{3}}}{9 b} + \frac{2 A x^{3} \sqrt{a + b x^{3}}}{9} - \frac{4 B a^{2} \sqrt{a + b x^{3}}}{45 b^{2}} + \frac{2 B a x^{3} \sqrt{a + b x^{3}}}{45 b} + \frac{2 B x^{6} \sqrt{a + b x^{3}}}{15} & \text{for}\: b \neq 0 \\\sqrt{a} \left(\frac{A x^{3}}{3} + \frac{B x^{6}}{6}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a*sqrt(a + b*x**3)/(9*b) + 2*A*x**3*sqrt(a + b*x**3)/9 - 4*B*a**2*sqrt(a + b*x**3)/(45*b**2) + 2*B*a*x**3*sqrt(a + b*x**3)/(45*b) + 2*B*x**6*sqrt(a + b*x**3)/15, Ne(b, 0)), (sqrt(a)*(A*x**3/3 + B*x**6/6), True))","A",0
182,1,76,0,25.832477," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x,x)","- \frac{A \left(- \frac{2 a \operatorname{atan}{\left(\frac{\sqrt{a + b x^{3}}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - 2 \sqrt{a + b x^{3}}\right)}{3} - \frac{B \left(\begin{cases} - \sqrt{a} x^{3} & \text{for}\: b = 0 \\- \frac{2 \left(a + b x^{3}\right)^{\frac{3}{2}}}{3 b} & \text{otherwise} \end{cases}\right)}{3}"," ",0,"-A*(-2*a*atan(sqrt(a + b*x**3)/sqrt(-a))/sqrt(-a) - 2*sqrt(a + b*x**3))/3 - B*Piecewise((-sqrt(a)*x**3, Eq(b, 0)), (-2*(a + b*x**3)**(3/2)/(3*b), True))/3","A",0
183,1,134,0,43.661097," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**4,x)","- \frac{A \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{3 x^{\frac{3}{2}}} - \frac{A b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{3 \sqrt{a}} - \frac{2 B \sqrt{a} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{3} + \frac{2 B a}{3 \sqrt{b} x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{2 B \sqrt{b} x^{\frac{3}{2}}}{3 \sqrt{\frac{a}{b x^{3}} + 1}}"," ",0,"-A*sqrt(b)*sqrt(a/(b*x**3) + 1)/(3*x**(3/2)) - A*b*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(3*sqrt(a)) - 2*B*sqrt(a)*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/3 + 2*B*a/(3*sqrt(b)*x**(3/2)*sqrt(a/(b*x**3) + 1)) + 2*B*sqrt(b)*x**(3/2)/(3*sqrt(a/(b*x**3) + 1))","A",0
184,1,160,0,129.138370," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**7,x)","- \frac{A a}{6 \sqrt{b} x^{\frac{15}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{A \sqrt{b}}{4 x^{\frac{9}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{A b^{\frac{3}{2}}}{12 a x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{A b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{12 a^{\frac{3}{2}}} - \frac{B \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{3 x^{\frac{3}{2}}} - \frac{B b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{3 \sqrt{a}}"," ",0,"-A*a/(6*sqrt(b)*x**(15/2)*sqrt(a/(b*x**3) + 1)) - A*sqrt(b)/(4*x**(9/2)*sqrt(a/(b*x**3) + 1)) - A*b**(3/2)/(12*a*x**(3/2)*sqrt(a/(b*x**3) + 1)) + A*b**2*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(12*a**(3/2)) - B*sqrt(b)*sqrt(a/(b*x**3) + 1)/(3*x**(3/2)) - B*b*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(3*sqrt(a))","B",0
185,1,83,0,3.469584," ","integrate(x**3*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{B \sqrt{a} x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)}"," ",0,"A*sqrt(a)*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(7/3)) + B*sqrt(a)*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(10/3))","A",0
186,1,82,0,3.235947," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{B \sqrt{a} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)}"," ",0,"A*sqrt(a)*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(4/3)) + B*sqrt(a)*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(7/3))","A",0
187,1,85,0,3.376550," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**3,x)","\frac{A \sqrt{a} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} + \frac{B \sqrt{a} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}"," ",0,"A*sqrt(a)*gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**2*gamma(1/3)) + B*sqrt(a)*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(4/3))","A",0
188,1,94,0,3.630856," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**6,x)","\frac{A \sqrt{a} \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, - \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{B \sqrt{a} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"A*sqrt(a)*gamma(-5/3)*hyper((-5/3, -1/2), (-2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**5*gamma(-2/3)) + B*sqrt(a)*gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**2*gamma(1/3))","A",0
189,1,97,0,3.833320," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**9,x)","\frac{A \sqrt{a} \Gamma\left(- \frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{8}{3}, - \frac{1}{2} \\ - \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{8} \Gamma\left(- \frac{5}{3}\right)} + \frac{B \sqrt{a} \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, - \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"A*sqrt(a)*gamma(-8/3)*hyper((-8/3, -1/2), (-5/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**8*gamma(-5/3)) + B*sqrt(a)*gamma(-5/3)*hyper((-5/3, -1/2), (-2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**5*gamma(-2/3))","A",0
190,1,83,0,3.002859," ","integrate(x**4*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)} + \frac{B \sqrt{a} x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{11}{3}\right)}"," ",0,"A*sqrt(a)*x**5*gamma(5/3)*hyper((-1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(8/3)) + B*sqrt(a)*x**8*gamma(8/3)*hyper((-1/2, 8/3), (11/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(11/3))","A",0
191,1,83,0,2.692877," ","integrate(x*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} + \frac{B \sqrt{a} x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)}"," ",0,"A*sqrt(a)*x**2*gamma(2/3)*hyper((-1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(5/3)) + B*sqrt(a)*x**5*gamma(5/3)*hyper((-1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(8/3))","A",0
192,1,85,0,3.050875," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**2,x)","\frac{A \sqrt{a} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} + \frac{B \sqrt{a} x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)}"," ",0,"A*sqrt(a)*gamma(-1/3)*hyper((-1/2, -1/3), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x*gamma(2/3)) + B*sqrt(a)*x**2*gamma(2/3)*hyper((-1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(5/3))","A",0
193,1,92,0,3.250546," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**5,x)","\frac{A \sqrt{a} \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, - \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{B \sqrt{a} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"A*sqrt(a)*gamma(-4/3)*hyper((-4/3, -1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**4*gamma(-1/3)) + B*sqrt(a)*gamma(-1/3)*hyper((-1/2, -1/3), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x*gamma(2/3))","A",0
194,1,97,0,3.783619," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**8,x)","\frac{A \sqrt{a} \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, - \frac{1}{2} \\ - \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{7} \Gamma\left(- \frac{4}{3}\right)} + \frac{B \sqrt{a} \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, - \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"A*sqrt(a)*gamma(-7/3)*hyper((-7/3, -1/2), (-4/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**7*gamma(-4/3)) + B*sqrt(a)*gamma(-4/3)*hyper((-4/3, -1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**4*gamma(-1/3))","A",0
195,1,97,0,5.135578," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**11,x)","\frac{A \sqrt{a} \Gamma\left(- \frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{10}{3}, - \frac{1}{2} \\ - \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{10} \Gamma\left(- \frac{7}{3}\right)} + \frac{B \sqrt{a} \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, - \frac{1}{2} \\ - \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{7} \Gamma\left(- \frac{4}{3}\right)}"," ",0,"A*sqrt(a)*gamma(-10/3)*hyper((-10/3, -1/2), (-7/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**10*gamma(-7/3)) + B*sqrt(a)*gamma(-7/3)*hyper((-7/3, -1/2), (-4/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**7*gamma(-4/3))","A",0
196,1,267,0,8.440178," ","integrate(x**8*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\begin{cases} \frac{16 A a^{4} \sqrt{a + b x^{3}}}{945 b^{3}} - \frac{8 A a^{3} x^{3} \sqrt{a + b x^{3}}}{945 b^{2}} + \frac{2 A a^{2} x^{6} \sqrt{a + b x^{3}}}{315 b} + \frac{20 A a x^{9} \sqrt{a + b x^{3}}}{189} + \frac{2 A b x^{12} \sqrt{a + b x^{3}}}{27} - \frac{32 B a^{5} \sqrt{a + b x^{3}}}{3465 b^{4}} + \frac{16 B a^{4} x^{3} \sqrt{a + b x^{3}}}{3465 b^{3}} - \frac{4 B a^{3} x^{6} \sqrt{a + b x^{3}}}{1155 b^{2}} + \frac{2 B a^{2} x^{9} \sqrt{a + b x^{3}}}{693 b} + \frac{8 B a x^{12} \sqrt{a + b x^{3}}}{99} + \frac{2 B b x^{15} \sqrt{a + b x^{3}}}{33} & \text{for}\: b \neq 0 \\a^{\frac{3}{2}} \left(\frac{A x^{9}}{9} + \frac{B x^{12}}{12}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*A*a**4*sqrt(a + b*x**3)/(945*b**3) - 8*A*a**3*x**3*sqrt(a + b*x**3)/(945*b**2) + 2*A*a**2*x**6*sqrt(a + b*x**3)/(315*b) + 20*A*a*x**9*sqrt(a + b*x**3)/189 + 2*A*b*x**12*sqrt(a + b*x**3)/27 - 32*B*a**5*sqrt(a + b*x**3)/(3465*b**4) + 16*B*a**4*x**3*sqrt(a + b*x**3)/(3465*b**3) - 4*B*a**3*x**6*sqrt(a + b*x**3)/(1155*b**2) + 2*B*a**2*x**9*sqrt(a + b*x**3)/(693*b) + 8*B*a*x**12*sqrt(a + b*x**3)/99 + 2*B*b*x**15*sqrt(a + b*x**3)/33, Ne(b, 0)), (a**(3/2)*(A*x**9/9 + B*x**12/12), True))","A",0
197,1,216,0,4.754593," ","integrate(x**5*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\begin{cases} - \frac{4 A a^{3} \sqrt{a + b x^{3}}}{105 b^{2}} + \frac{2 A a^{2} x^{3} \sqrt{a + b x^{3}}}{105 b} + \frac{16 A a x^{6} \sqrt{a + b x^{3}}}{105} + \frac{2 A b x^{9} \sqrt{a + b x^{3}}}{21} + \frac{16 B a^{4} \sqrt{a + b x^{3}}}{945 b^{3}} - \frac{8 B a^{3} x^{3} \sqrt{a + b x^{3}}}{945 b^{2}} + \frac{2 B a^{2} x^{6} \sqrt{a + b x^{3}}}{315 b} + \frac{20 B a x^{9} \sqrt{a + b x^{3}}}{189} + \frac{2 B b x^{12} \sqrt{a + b x^{3}}}{27} & \text{for}\: b \neq 0 \\a^{\frac{3}{2}} \left(\frac{A x^{6}}{6} + \frac{B x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*A*a**3*sqrt(a + b*x**3)/(105*b**2) + 2*A*a**2*x**3*sqrt(a + b*x**3)/(105*b) + 16*A*a*x**6*sqrt(a + b*x**3)/105 + 2*A*b*x**9*sqrt(a + b*x**3)/21 + 16*B*a**4*sqrt(a + b*x**3)/(945*b**3) - 8*B*a**3*x**3*sqrt(a + b*x**3)/(945*b**2) + 2*B*a**2*x**6*sqrt(a + b*x**3)/(315*b) + 20*B*a*x**9*sqrt(a + b*x**3)/189 + 2*B*b*x**12*sqrt(a + b*x**3)/27, Ne(b, 0)), (a**(3/2)*(A*x**6/6 + B*x**9/9), True))","A",0
198,1,165,0,2.520135," ","integrate(x**2*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\begin{cases} \frac{2 A a^{2} \sqrt{a + b x^{3}}}{15 b} + \frac{4 A a x^{3} \sqrt{a + b x^{3}}}{15} + \frac{2 A b x^{6} \sqrt{a + b x^{3}}}{15} - \frac{4 B a^{3} \sqrt{a + b x^{3}}}{105 b^{2}} + \frac{2 B a^{2} x^{3} \sqrt{a + b x^{3}}}{105 b} + \frac{16 B a x^{6} \sqrt{a + b x^{3}}}{105} + \frac{2 B b x^{9} \sqrt{a + b x^{3}}}{21} & \text{for}\: b \neq 0 \\a^{\frac{3}{2}} \left(\frac{A x^{3}}{3} + \frac{B x^{6}}{6}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a**2*sqrt(a + b*x**3)/(15*b) + 4*A*a*x**3*sqrt(a + b*x**3)/15 + 2*A*b*x**6*sqrt(a + b*x**3)/15 - 4*B*a**3*sqrt(a + b*x**3)/(105*b**2) + 2*B*a**2*x**3*sqrt(a + b*x**3)/(105*b) + 16*B*a*x**6*sqrt(a + b*x**3)/105 + 2*B*b*x**9*sqrt(a + b*x**3)/21, Ne(b, 0)), (a**(3/2)*(A*x**3/3 + B*x**6/6), True))","A",0
199,1,82,0,66.499443," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x,x)","\frac{2 A a^{2} \operatorname{atan}{\left(\frac{\sqrt{a + b x^{3}}}{\sqrt{- a}} \right)}}{3 \sqrt{- a}} + \frac{2 A a \sqrt{a + b x^{3}}}{3} + \frac{2 A \left(a + b x^{3}\right)^{\frac{3}{2}}}{9} + \frac{2 B \left(a + b x^{3}\right)^{\frac{5}{2}}}{15 b}"," ",0,"2*A*a**2*atan(sqrt(a + b*x**3)/sqrt(-a))/(3*sqrt(-a)) + 2*A*a*sqrt(a + b*x**3)/3 + 2*A*(a + b*x**3)**(3/2)/9 + 2*B*(a + b*x**3)**(5/2)/(15*b)","A",0
200,1,223,0,58.401310," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**4,x)","- A \sqrt{a} b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)} - \frac{A a \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{3 x^{\frac{3}{2}}} + \frac{2 A a \sqrt{b}}{3 x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{2 A b^{\frac{3}{2}} x^{\frac{3}{2}}}{3 \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{2 B a^{\frac{3}{2}} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{3} + \frac{2 B a^{2}}{3 \sqrt{b} x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{2 B a \sqrt{b} x^{\frac{3}{2}}}{3 \sqrt{\frac{a}{b x^{3}} + 1}} + B b \left(\begin{cases} \frac{\sqrt{a} x^{3}}{3} & \text{for}\: b = 0 \\\frac{2 \left(a + b x^{3}\right)^{\frac{3}{2}}}{9 b} & \text{otherwise} \end{cases}\right)"," ",0,"-A*sqrt(a)*b*asinh(sqrt(a)/(sqrt(b)*x**(3/2))) - A*a*sqrt(b)*sqrt(a/(b*x**3) + 1)/(3*x**(3/2)) + 2*A*a*sqrt(b)/(3*x**(3/2)*sqrt(a/(b*x**3) + 1)) + 2*A*b**(3/2)*x**(3/2)/(3*sqrt(a/(b*x**3) + 1)) - 2*B*a**(3/2)*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/3 + 2*B*a**2/(3*sqrt(b)*x**(3/2)*sqrt(a/(b*x**3) + 1)) + 2*B*a*sqrt(b)*x**(3/2)/(3*sqrt(a/(b*x**3) + 1)) + B*b*Piecewise((sqrt(a)*x**3/3, Eq(b, 0)), (2*(a + b*x**3)**(3/2)/(9*b), True))","A",0
201,1,243,0,153.107137," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**7,x)","- \frac{A a^{2}}{6 \sqrt{b} x^{\frac{15}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{A a \sqrt{b}}{4 x^{\frac{9}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{A b^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}}{3 x^{\frac{3}{2}}} - \frac{A b^{\frac{3}{2}}}{12 x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{A b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{4 \sqrt{a}} - B \sqrt{a} b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)} - \frac{B a \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{3 x^{\frac{3}{2}}} + \frac{2 B a \sqrt{b}}{3 x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{2 B b^{\frac{3}{2}} x^{\frac{3}{2}}}{3 \sqrt{\frac{a}{b x^{3}} + 1}}"," ",0,"-A*a**2/(6*sqrt(b)*x**(15/2)*sqrt(a/(b*x**3) + 1)) - A*a*sqrt(b)/(4*x**(9/2)*sqrt(a/(b*x**3) + 1)) - A*b**(3/2)*sqrt(a/(b*x**3) + 1)/(3*x**(3/2)) - A*b**(3/2)/(12*x**(3/2)*sqrt(a/(b*x**3) + 1)) - A*b**2*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(4*sqrt(a)) - B*sqrt(a)*b*asinh(sqrt(a)/(sqrt(b)*x**(3/2))) - B*a*sqrt(b)*sqrt(a/(b*x**3) + 1)/(3*x**(3/2)) + 2*B*a*sqrt(b)/(3*x**(3/2)*sqrt(a/(b*x**3) + 1)) + 2*B*b**(3/2)*x**(3/2)/(3*sqrt(a/(b*x**3) + 1))","B",0
202,1,172,0,5.055891," ","integrate(x**3*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\frac{A a^{\frac{3}{2}} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{A \sqrt{a} b x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)} + \frac{B a^{\frac{3}{2}} x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)} + \frac{B \sqrt{a} b x^{10} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{13}{3}\right)}"," ",0,"A*a**(3/2)*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(7/3)) + A*sqrt(a)*b*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(10/3)) + B*a**(3/2)*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(10/3)) + B*sqrt(a)*b*x**10*gamma(10/3)*hyper((-1/2, 10/3), (13/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(13/3))","A",0
203,1,170,0,4.749365," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A),x)","\frac{A a^{\frac{3}{2}} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{A \sqrt{a} b x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{B a^{\frac{3}{2}} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{B \sqrt{a} b x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)}"," ",0,"A*a**(3/2)*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(4/3)) + A*sqrt(a)*b*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(7/3)) + B*a**(3/2)*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(7/3)) + B*sqrt(a)*b*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(10/3))","A",0
204,1,172,0,5.377631," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**3,x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} + \frac{A \sqrt{a} b x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{B a^{\frac{3}{2}} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{B \sqrt{a} b x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)}"," ",0,"A*a**(3/2)*gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**2*gamma(1/3)) + A*sqrt(a)*b*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(4/3)) + B*a**(3/2)*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(4/3)) + B*sqrt(a)*b*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(7/3))","A",0
205,1,184,0,6.178099," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**6,x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, - \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{A \sqrt{a} b \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} + \frac{B a^{\frac{3}{2}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} + \frac{B \sqrt{a} b x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}"," ",0,"A*a**(3/2)*gamma(-5/3)*hyper((-5/3, -1/2), (-2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**5*gamma(-2/3)) + A*sqrt(a)*b*gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**2*gamma(1/3)) + B*a**(3/2)*gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**2*gamma(1/3)) + B*sqrt(a)*b*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(4/3))","A",0
206,1,196,0,6.530751," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**9,x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{8}{3}, - \frac{1}{2} \\ - \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{8} \Gamma\left(- \frac{5}{3}\right)} + \frac{A \sqrt{a} b \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, - \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{B a^{\frac{3}{2}} \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, - \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{B \sqrt{a} b \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"A*a**(3/2)*gamma(-8/3)*hyper((-8/3, -1/2), (-5/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**8*gamma(-5/3)) + A*sqrt(a)*b*gamma(-5/3)*hyper((-5/3, -1/2), (-2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**5*gamma(-2/3)) + B*a**(3/2)*gamma(-5/3)*hyper((-5/3, -1/2), (-2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**5*gamma(-2/3)) + B*sqrt(a)*b*gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**2*gamma(1/3))","A",0
207,1,172,0,5.795251," ","integrate(x**4*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\frac{A a^{\frac{3}{2}} x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)} + \frac{A \sqrt{a} b x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{11}{3}\right)} + \frac{B a^{\frac{3}{2}} x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{11}{3}\right)} + \frac{B \sqrt{a} b x^{11} \Gamma\left(\frac{11}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{3} \\ \frac{14}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{14}{3}\right)}"," ",0,"A*a**(3/2)*x**5*gamma(5/3)*hyper((-1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(8/3)) + A*sqrt(a)*b*x**8*gamma(8/3)*hyper((-1/2, 8/3), (11/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(11/3)) + B*a**(3/2)*x**8*gamma(8/3)*hyper((-1/2, 8/3), (11/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(11/3)) + B*sqrt(a)*b*x**11*gamma(11/3)*hyper((-1/2, 11/3), (14/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(14/3))","A",0
208,1,172,0,4.759290," ","integrate(x*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\frac{A a^{\frac{3}{2}} x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} + \frac{A \sqrt{a} b x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)} + \frac{B a^{\frac{3}{2}} x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)} + \frac{B \sqrt{a} b x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{11}{3}\right)}"," ",0,"A*a**(3/2)*x**2*gamma(2/3)*hyper((-1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(5/3)) + A*sqrt(a)*b*x**5*gamma(5/3)*hyper((-1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(8/3)) + B*a**(3/2)*x**5*gamma(5/3)*hyper((-1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(8/3)) + B*sqrt(a)*b*x**8*gamma(8/3)*hyper((-1/2, 8/3), (11/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(11/3))","A",0
209,1,173,0,5.673779," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**2,x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} + \frac{A \sqrt{a} b x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} + \frac{B a^{\frac{3}{2}} x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} + \frac{B \sqrt{a} b x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)}"," ",0,"A*a**(3/2)*gamma(-1/3)*hyper((-1/2, -1/3), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x*gamma(2/3)) + A*sqrt(a)*b*x**2*gamma(2/3)*hyper((-1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(5/3)) + B*a**(3/2)*x**2*gamma(2/3)*hyper((-1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(5/3)) + B*sqrt(a)*b*x**5*gamma(5/3)*hyper((-1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(8/3))","A",0
210,1,182,0,6.540138," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**5,x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, - \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{A \sqrt{a} b \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} + \frac{B a^{\frac{3}{2}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} + \frac{B \sqrt{a} b x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)}"," ",0,"A*a**(3/2)*gamma(-4/3)*hyper((-4/3, -1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**4*gamma(-1/3)) + A*sqrt(a)*b*gamma(-1/3)*hyper((-1/2, -1/3), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x*gamma(2/3)) + B*a**(3/2)*gamma(-1/3)*hyper((-1/2, -1/3), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x*gamma(2/3)) + B*sqrt(a)*b*x**2*gamma(2/3)*hyper((-1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(5/3))","A",0
211,1,194,0,6.061375," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**8,x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, - \frac{1}{2} \\ - \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{7} \Gamma\left(- \frac{4}{3}\right)} + \frac{A \sqrt{a} b \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, - \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{B a^{\frac{3}{2}} \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, - \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{B \sqrt{a} b \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"A*a**(3/2)*gamma(-7/3)*hyper((-7/3, -1/2), (-4/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**7*gamma(-4/3)) + A*sqrt(a)*b*gamma(-4/3)*hyper((-4/3, -1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**4*gamma(-1/3)) + B*a**(3/2)*gamma(-4/3)*hyper((-4/3, -1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**4*gamma(-1/3)) + B*sqrt(a)*b*gamma(-1/3)*hyper((-1/2, -1/3), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*x*gamma(2/3))","A",0
212,1,199,0,6.884105," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/x**11,x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{10}{3}, - \frac{1}{2} \\ - \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{10} \Gamma\left(- \frac{7}{3}\right)} + \frac{A \sqrt{a} b \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, - \frac{1}{2} \\ - \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{7} \Gamma\left(- \frac{4}{3}\right)} + \frac{B a^{\frac{3}{2}} \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, - \frac{1}{2} \\ - \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{7} \Gamma\left(- \frac{4}{3}\right)} + \frac{B \sqrt{a} b \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, - \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"A*a**(3/2)*gamma(-10/3)*hyper((-10/3, -1/2), (-7/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**10*gamma(-7/3)) + A*sqrt(a)*b*gamma(-7/3)*hyper((-7/3, -1/2), (-4/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**7*gamma(-4/3)) + B*a**(3/2)*gamma(-7/3)*hyper((-7/3, -1/2), (-4/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**7*gamma(-4/3)) + B*sqrt(a)*b*gamma(-4/3)*hyper((-4/3, -1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*x**4*gamma(-1/3))","A",0
213,1,175,0,3.441218," ","integrate(x**8*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\begin{cases} \frac{16 A a^{2} \sqrt{a + b x^{3}}}{45 b^{3}} - \frac{8 A a x^{3} \sqrt{a + b x^{3}}}{45 b^{2}} + \frac{2 A x^{6} \sqrt{a + b x^{3}}}{15 b} - \frac{32 B a^{3} \sqrt{a + b x^{3}}}{105 b^{4}} + \frac{16 B a^{2} x^{3} \sqrt{a + b x^{3}}}{105 b^{3}} - \frac{4 B a x^{6} \sqrt{a + b x^{3}}}{35 b^{2}} + \frac{2 B x^{9} \sqrt{a + b x^{3}}}{21 b} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{9}}{9} + \frac{B x^{12}}{12}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*A*a**2*sqrt(a + b*x**3)/(45*b**3) - 8*A*a*x**3*sqrt(a + b*x**3)/(45*b**2) + 2*A*x**6*sqrt(a + b*x**3)/(15*b) - 32*B*a**3*sqrt(a + b*x**3)/(105*b**4) + 16*B*a**2*x**3*sqrt(a + b*x**3)/(105*b**3) - 4*B*a*x**6*sqrt(a + b*x**3)/(35*b**2) + 2*B*x**9*sqrt(a + b*x**3)/(21*b), Ne(b, 0)), ((A*x**9/9 + B*x**12/12)/sqrt(a), True))","A",0
214,1,124,0,1.824804," ","integrate(x**5*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\begin{cases} - \frac{4 A a \sqrt{a + b x^{3}}}{9 b^{2}} + \frac{2 A x^{3} \sqrt{a + b x^{3}}}{9 b} + \frac{16 B a^{2} \sqrt{a + b x^{3}}}{45 b^{3}} - \frac{8 B a x^{3} \sqrt{a + b x^{3}}}{45 b^{2}} + \frac{2 B x^{6} \sqrt{a + b x^{3}}}{15 b} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{6}}{6} + \frac{B x^{9}}{9}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*A*a*sqrt(a + b*x**3)/(9*b**2) + 2*A*x**3*sqrt(a + b*x**3)/(9*b) + 16*B*a**2*sqrt(a + b*x**3)/(45*b**3) - 8*B*a*x**3*sqrt(a + b*x**3)/(45*b**2) + 2*B*x**6*sqrt(a + b*x**3)/(15*b), Ne(b, 0)), ((A*x**6/6 + B*x**9/9)/sqrt(a), True))","A",0
215,1,75,0,0.975991," ","integrate(x**2*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\begin{cases} \frac{2 A \sqrt{a + b x^{3}}}{3 b} - \frac{4 B a \sqrt{a + b x^{3}}}{9 b^{2}} + \frac{2 B x^{3} \sqrt{a + b x^{3}}}{9 b} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{3}}{3} + \frac{B x^{6}}{6}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*sqrt(a + b*x**3)/(3*b) - 4*B*a*sqrt(a + b*x**3)/(9*b**2) + 2*B*x**3*sqrt(a + b*x**3)/(9*b), Ne(b, 0)), ((A*x**3/3 + B*x**6/6)/sqrt(a), True))","A",0
216,1,65,0,11.269688," ","integrate((B*x**3+A)/x/(b*x**3+a)**(1/2),x)","\frac{2 A \operatorname{atan}{\left(\frac{1}{\sqrt{- \frac{1}{a}} \sqrt{a + b x^{3}}} \right)}}{3 a \sqrt{- \frac{1}{a}}} - \frac{B \left(\begin{cases} - \frac{x^{3}}{\sqrt{a}} & \text{for}\: b = 0 \\- \frac{2 \sqrt{a + b x^{3}}}{b} & \text{otherwise} \end{cases}\right)}{3}"," ",0,"2*A*atan(1/(sqrt(-1/a)*sqrt(a + b*x**3)))/(3*a*sqrt(-1/a)) - B*Piecewise((-x**3/sqrt(a), Eq(b, 0)), (-2*sqrt(a + b*x**3)/b, True))/3","A",0
217,1,80,0,31.832650," ","integrate((B*x**3+A)/x**4/(b*x**3+a)**(1/2),x)","- \frac{A \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{3 a x^{\frac{3}{2}}} + \frac{A b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{3 a^{\frac{3}{2}}} - \frac{2 B \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{3 \sqrt{a}}"," ",0,"-A*sqrt(b)*sqrt(a/(b*x**3) + 1)/(3*a*x**(3/2)) + A*b*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(3*a**(3/2)) - 2*B*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(3*sqrt(a))","A",0
218,1,163,0,71.181279," ","integrate((B*x**3+A)/x**7/(b*x**3+a)**(1/2),x)","- \frac{A}{6 \sqrt{b} x^{\frac{15}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{A \sqrt{b}}{12 a x^{\frac{9}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{A b^{\frac{3}{2}}}{4 a^{2} x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{A b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{4 a^{\frac{5}{2}}} - \frac{B \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{3 a x^{\frac{3}{2}}} + \frac{B b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{3 a^{\frac{3}{2}}}"," ",0,"-A/(6*sqrt(b)*x**(15/2)*sqrt(a/(b*x**3) + 1)) + A*sqrt(b)/(12*a*x**(9/2)*sqrt(a/(b*x**3) + 1)) + A*b**(3/2)/(4*a**2*x**(3/2)*sqrt(a/(b*x**3) + 1)) - A*b**2*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(4*a**(5/2)) - B*sqrt(b)*sqrt(a/(b*x**3) + 1)/(3*a*x**(3/2)) + B*b*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(3*a**(3/2))","B",0
219,1,80,0,3.172017," ","integrate(x**3*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{7}{3}\right)} + \frac{B x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{10}{3}\right)}"," ",0,"A*x**4*gamma(4/3)*hyper((1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(7/3)) + B*x**7*gamma(7/3)*hyper((1/2, 7/3), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(10/3))","A",0
220,1,78,0,2.118745," ","integrate((B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{4}{3}\right)} + \frac{B x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{7}{3}\right)}"," ",0,"A*x*gamma(1/3)*hyper((1/3, 1/2), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(4/3)) + B*x**4*gamma(4/3)*hyper((1/2, 4/3), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(7/3))","A",0
221,1,82,0,2.416470," ","integrate((B*x**3+A)/x**3/(b*x**3+a)**(1/2),x)","\frac{A \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x^{2} \Gamma\left(\frac{1}{3}\right)} + \frac{B x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{4}{3}\right)}"," ",0,"A*gamma(-2/3)*hyper((-2/3, 1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x**2*gamma(1/3)) + B*x*gamma(1/3)*hyper((1/3, 1/2), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(4/3))","A",0
222,1,90,0,2.871728," ","integrate((B*x**3+A)/x**6/(b*x**3+a)**(1/2),x)","\frac{A \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{B \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"A*gamma(-5/3)*hyper((-5/3, 1/2), (-2/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x**5*gamma(-2/3)) + B*gamma(-2/3)*hyper((-2/3, 1/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x**2*gamma(1/3))","A",0
223,1,80,0,3.171334," ","integrate(x**4*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{8}{3}\right)} + \frac{B x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{11}{3}\right)}"," ",0,"A*x**5*gamma(5/3)*hyper((1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(8/3)) + B*x**8*gamma(8/3)*hyper((1/2, 8/3), (11/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(11/3))","A",0
224,1,80,0,2.878292," ","integrate(x*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{5}{3}\right)} + \frac{B x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{8}{3}\right)}"," ",0,"A*x**2*gamma(2/3)*hyper((1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(5/3)) + B*x**5*gamma(5/3)*hyper((1/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(8/3))","A",0
225,1,82,0,2.464912," ","integrate((B*x**3+A)/x**2/(b*x**3+a)**(1/2),x)","\frac{A \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{2} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x \Gamma\left(\frac{2}{3}\right)} + \frac{B x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{5}{3}\right)}"," ",0,"A*gamma(-1/3)*hyper((-1/3, 1/2), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x*gamma(2/3)) + B*x**2*gamma(2/3)*hyper((1/2, 2/3), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(5/3))","A",0
226,1,88,0,2.678807," ","integrate((B*x**3+A)/x**5/(b*x**3+a)**(1/2),x)","\frac{A \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{B \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{2} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x \Gamma\left(\frac{2}{3}\right)}"," ",0,"A*gamma(-4/3)*hyper((-4/3, 1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x**4*gamma(-1/3)) + B*gamma(-1/3)*hyper((-1/3, 1/2), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x*gamma(2/3))","A",0
227,1,94,0,3.138872," ","integrate((B*x**3+A)/x**8/(b*x**3+a)**(1/2),x)","\frac{A \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, \frac{1}{2} \\ - \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x^{7} \Gamma\left(- \frac{4}{3}\right)} + \frac{B \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, \frac{1}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} x^{4} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"A*gamma(-7/3)*hyper((-7/3, 1/2), (-4/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x**7*gamma(-4/3)) + B*gamma(-4/3)*hyper((-4/3, 1/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*x**4*gamma(-1/3))","A",0
228,1,175,0,3.901561," ","integrate(x**8*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\begin{cases} - \frac{16 A a^{2}}{9 b^{3} \sqrt{a + b x^{3}}} - \frac{8 A a x^{3}}{9 b^{2} \sqrt{a + b x^{3}}} + \frac{2 A x^{6}}{9 b \sqrt{a + b x^{3}}} + \frac{32 B a^{3}}{15 b^{4} \sqrt{a + b x^{3}}} + \frac{16 B a^{2} x^{3}}{15 b^{3} \sqrt{a + b x^{3}}} - \frac{4 B a x^{6}}{15 b^{2} \sqrt{a + b x^{3}}} + \frac{2 B x^{9}}{15 b \sqrt{a + b x^{3}}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{9}}{9} + \frac{B x^{12}}{12}}{a^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-16*A*a**2/(9*b**3*sqrt(a + b*x**3)) - 8*A*a*x**3/(9*b**2*sqrt(a + b*x**3)) + 2*A*x**6/(9*b*sqrt(a + b*x**3)) + 32*B*a**3/(15*b**4*sqrt(a + b*x**3)) + 16*B*a**2*x**3/(15*b**3*sqrt(a + b*x**3)) - 4*B*a*x**6/(15*b**2*sqrt(a + b*x**3)) + 2*B*x**9/(15*b*sqrt(a + b*x**3)), Ne(b, 0)), ((A*x**9/9 + B*x**12/12)/a**(3/2), True))","A",0
229,1,124,0,1.843960," ","integrate(x**5*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\begin{cases} \frac{4 A a}{3 b^{2} \sqrt{a + b x^{3}}} + \frac{2 A x^{3}}{3 b \sqrt{a + b x^{3}}} - \frac{16 B a^{2}}{9 b^{3} \sqrt{a + b x^{3}}} - \frac{8 B a x^{3}}{9 b^{2} \sqrt{a + b x^{3}}} + \frac{2 B x^{6}}{9 b \sqrt{a + b x^{3}}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{6}}{6} + \frac{B x^{9}}{9}}{a^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*A*a/(3*b**2*sqrt(a + b*x**3)) + 2*A*x**3/(3*b*sqrt(a + b*x**3)) - 16*B*a**2/(9*b**3*sqrt(a + b*x**3)) - 8*B*a*x**3/(9*b**2*sqrt(a + b*x**3)) + 2*B*x**6/(9*b*sqrt(a + b*x**3)), Ne(b, 0)), ((A*x**6/6 + B*x**9/9)/a**(3/2), True))","A",0
230,1,75,0,1.082472," ","integrate(x**2*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\begin{cases} - \frac{2 A}{3 b \sqrt{a + b x^{3}}} + \frac{4 B a}{3 b^{2} \sqrt{a + b x^{3}}} + \frac{2 B x^{3}}{3 b \sqrt{a + b x^{3}}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{3}}{3} + \frac{B x^{6}}{6}}{a^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*A/(3*b*sqrt(a + b*x**3)) + 4*B*a/(3*b**2*sqrt(a + b*x**3)) + 2*B*x**3/(3*b*sqrt(a + b*x**3)), Ne(b, 0)), ((A*x**3/3 + B*x**6/6)/a**(3/2), True))","A",0
231,1,56,0,20.823400," ","integrate((B*x**3+A)/x/(b*x**3+a)**(3/2),x)","\frac{2 A \operatorname{atan}{\left(\frac{\sqrt{a + b x^{3}}}{\sqrt{- a}} \right)}}{3 a \sqrt{- a}} - \frac{2 \left(- A b + B a\right)}{3 a b \sqrt{a + b x^{3}}}"," ",0,"2*A*atan(sqrt(a + b*x**3)/sqrt(-a))/(3*a*sqrt(-a)) - 2*(-A*b + B*a)/(3*a*b*sqrt(a + b*x**3))","A",0
232,1,264,0,79.790367," ","integrate((B*x**3+A)/x**4/(b*x**3+a)**(3/2),x)","A \left(- \frac{1}{3 a \sqrt{b} x^{\frac{9}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{\sqrt{b}}{a^{2} x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{a^{\frac{5}{2}}}\right) + B \left(\frac{2 a^{3} \sqrt{1 + \frac{b x^{3}}{a}}}{3 a^{\frac{9}{2}} + 3 a^{\frac{7}{2}} b x^{3}} + \frac{a^{3} \log{\left(\frac{b x^{3}}{a} \right)}}{3 a^{\frac{9}{2}} + 3 a^{\frac{7}{2}} b x^{3}} - \frac{2 a^{3} \log{\left(\sqrt{1 + \frac{b x^{3}}{a}} + 1 \right)}}{3 a^{\frac{9}{2}} + 3 a^{\frac{7}{2}} b x^{3}} + \frac{a^{2} b x^{3} \log{\left(\frac{b x^{3}}{a} \right)}}{3 a^{\frac{9}{2}} + 3 a^{\frac{7}{2}} b x^{3}} - \frac{2 a^{2} b x^{3} \log{\left(\sqrt{1 + \frac{b x^{3}}{a}} + 1 \right)}}{3 a^{\frac{9}{2}} + 3 a^{\frac{7}{2}} b x^{3}}\right)"," ",0,"A*(-1/(3*a*sqrt(b)*x**(9/2)*sqrt(a/(b*x**3) + 1)) - sqrt(b)/(a**2*x**(3/2)*sqrt(a/(b*x**3) + 1)) + b*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/a**(5/2)) + B*(2*a**3*sqrt(1 + b*x**3/a)/(3*a**(9/2) + 3*a**(7/2)*b*x**3) + a**3*log(b*x**3/a)/(3*a**(9/2) + 3*a**(7/2)*b*x**3) - 2*a**3*log(sqrt(1 + b*x**3/a) + 1)/(3*a**(9/2) + 3*a**(7/2)*b*x**3) + a**2*b*x**3*log(b*x**3/a)/(3*a**(9/2) + 3*a**(7/2)*b*x**3) - 2*a**2*b*x**3*log(sqrt(1 + b*x**3/a) + 1)/(3*a**(9/2) + 3*a**(7/2)*b*x**3))","B",0
233,1,192,0,179.010230," ","integrate((B*x**3+A)/x**7/(b*x**3+a)**(3/2),x)","A \left(- \frac{1}{6 a \sqrt{b} x^{\frac{15}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{5 \sqrt{b}}{12 a^{2} x^{\frac{9}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{5 b^{\frac{3}{2}}}{4 a^{3} x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{5 b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{4 a^{\frac{7}{2}}}\right) + B \left(- \frac{1}{3 a \sqrt{b} x^{\frac{9}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} - \frac{\sqrt{b}}{a^{2} x^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}} + \frac{b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} x^{\frac{3}{2}}} \right)}}{a^{\frac{5}{2}}}\right)"," ",0,"A*(-1/(6*a*sqrt(b)*x**(15/2)*sqrt(a/(b*x**3) + 1)) + 5*sqrt(b)/(12*a**2*x**(9/2)*sqrt(a/(b*x**3) + 1)) + 5*b**(3/2)/(4*a**3*x**(3/2)*sqrt(a/(b*x**3) + 1)) - 5*b**2*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/(4*a**(7/2))) + B*(-1/(3*a*sqrt(b)*x**(9/2)*sqrt(a/(b*x**3) + 1)) - sqrt(b)/(a**2*x**(3/2)*sqrt(a/(b*x**3) + 1)) + b*asinh(sqrt(a)/(sqrt(b)*x**(3/2)))/a**(5/2))","A",0
234,1,80,0,29.492621," ","integrate(x**6*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\frac{A x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{10}{3}\right)} + \frac{B x^{10} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{13}{3}\right)}"," ",0,"A*x**7*gamma(7/3)*hyper((3/2, 7/3), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(10/3)) + B*x**10*gamma(10/3)*hyper((3/2, 10/3), (13/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(13/3))","A",0
235,1,80,0,14.089049," ","integrate(x**3*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\frac{A x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{4}{3}, \frac{3}{2} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{7}{3}\right)} + \frac{B x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{10}{3}\right)}"," ",0,"A*x**4*gamma(4/3)*hyper((4/3, 3/2), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(7/3)) + B*x**7*gamma(7/3)*hyper((3/2, 7/3), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(10/3))","A",0
236,1,78,0,10.050462," ","integrate((B*x**3+A)/(b*x**3+a)**(3/2),x)","\frac{A x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{3}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{4}{3}\right)} + \frac{B x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{4}{3}, \frac{3}{2} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{7}{3}\right)}"," ",0,"A*x*gamma(1/3)*hyper((1/3, 3/2), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(4/3)) + B*x**4*gamma(4/3)*hyper((4/3, 3/2), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(7/3))","A",0
237,1,82,0,26.008711," ","integrate((B*x**3+A)/x**3/(b*x**3+a)**(3/2),x)","\frac{A \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{3}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x^{2} \Gamma\left(\frac{1}{3}\right)} + \frac{B x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{3}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"A*gamma(-2/3)*hyper((-2/3, 3/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x**2*gamma(1/3)) + B*x*gamma(1/3)*hyper((1/3, 3/2), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(4/3))","A",0
238,1,90,0,79.845484," ","integrate((B*x**3+A)/x**6/(b*x**3+a)**(3/2),x)","\frac{A \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, \frac{3}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{B \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{3}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"A*gamma(-5/3)*hyper((-5/3, 3/2), (-2/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x**5*gamma(-2/3)) + B*gamma(-2/3)*hyper((-2/3, 3/2), (1/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x**2*gamma(1/3))","A",0
239,1,80,0,13.659255," ","integrate(x**4*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\frac{A x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{8}{3}\right)} + \frac{B x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{11}{3}\right)}"," ",0,"A*x**5*gamma(5/3)*hyper((3/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(8/3)) + B*x**8*gamma(8/3)*hyper((3/2, 8/3), (11/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(11/3))","A",0
240,1,80,0,9.526375," ","integrate(x*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\frac{A x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{3}{2} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{5}{3}\right)} + \frac{B x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{8}{3}\right)}"," ",0,"A*x**2*gamma(2/3)*hyper((2/3, 3/2), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(5/3)) + B*x**5*gamma(5/3)*hyper((3/2, 5/3), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(8/3))","A",0
241,1,82,0,20.347604," ","integrate((B*x**3+A)/x**2/(b*x**3+a)**(3/2),x)","\frac{A \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{3}{2} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x \Gamma\left(\frac{2}{3}\right)} + \frac{B x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{3}{2} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{5}{3}\right)}"," ",0,"A*gamma(-1/3)*hyper((-1/3, 3/2), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x*gamma(2/3)) + B*x**2*gamma(2/3)*hyper((2/3, 3/2), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(5/3))","A",0
242,1,88,0,58.879966," ","integrate((B*x**3+A)/x**5/(b*x**3+a)**(3/2),x)","\frac{A \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, \frac{3}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{B \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{3}{2} \\ \frac{2}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x \Gamma\left(\frac{2}{3}\right)}"," ",0,"A*gamma(-4/3)*hyper((-4/3, 3/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x**4*gamma(-1/3)) + B*gamma(-1/3)*hyper((-1/3, 3/2), (2/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x*gamma(2/3))","A",0
243,1,94,0,136.390265," ","integrate((B*x**3+A)/x**8/(b*x**3+a)**(3/2),x)","\frac{A \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, \frac{3}{2} \\ - \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x^{7} \Gamma\left(- \frac{4}{3}\right)} + \frac{B \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, \frac{3}{2} \\ - \frac{1}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} x^{4} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"A*gamma(-7/3)*hyper((-7/3, 3/2), (-4/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x**7*gamma(-4/3)) + B*gamma(-4/3)*hyper((-4/3, 3/2), (-1/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*x**4*gamma(-1/3))","A",0
244,1,338,0,5.183425," ","integrate(x**8*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\begin{cases} \frac{16 A a^{2} b}{9 a b^{4} \sqrt{a + b x^{3}} + 9 b^{5} x^{3} \sqrt{a + b x^{3}}} + \frac{24 A a b^{2} x^{3}}{9 a b^{4} \sqrt{a + b x^{3}} + 9 b^{5} x^{3} \sqrt{a + b x^{3}}} + \frac{6 A b^{3} x^{6}}{9 a b^{4} \sqrt{a + b x^{3}} + 9 b^{5} x^{3} \sqrt{a + b x^{3}}} - \frac{32 B a^{3}}{9 a b^{4} \sqrt{a + b x^{3}} + 9 b^{5} x^{3} \sqrt{a + b x^{3}}} - \frac{48 B a^{2} b x^{3}}{9 a b^{4} \sqrt{a + b x^{3}} + 9 b^{5} x^{3} \sqrt{a + b x^{3}}} - \frac{12 B a b^{2} x^{6}}{9 a b^{4} \sqrt{a + b x^{3}} + 9 b^{5} x^{3} \sqrt{a + b x^{3}}} + \frac{2 B b^{3} x^{9}}{9 a b^{4} \sqrt{a + b x^{3}} + 9 b^{5} x^{3} \sqrt{a + b x^{3}}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{9}}{9} + \frac{B x^{12}}{12}}{a^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*A*a**2*b/(9*a*b**4*sqrt(a + b*x**3) + 9*b**5*x**3*sqrt(a + b*x**3)) + 24*A*a*b**2*x**3/(9*a*b**4*sqrt(a + b*x**3) + 9*b**5*x**3*sqrt(a + b*x**3)) + 6*A*b**3*x**6/(9*a*b**4*sqrt(a + b*x**3) + 9*b**5*x**3*sqrt(a + b*x**3)) - 32*B*a**3/(9*a*b**4*sqrt(a + b*x**3) + 9*b**5*x**3*sqrt(a + b*x**3)) - 48*B*a**2*b*x**3/(9*a*b**4*sqrt(a + b*x**3) + 9*b**5*x**3*sqrt(a + b*x**3)) - 12*B*a*b**2*x**6/(9*a*b**4*sqrt(a + b*x**3) + 9*b**5*x**3*sqrt(a + b*x**3)) + 2*B*b**3*x**9/(9*a*b**4*sqrt(a + b*x**3) + 9*b**5*x**3*sqrt(a + b*x**3)), Ne(b, 0)), ((A*x**9/9 + B*x**12/12)/a**(5/2), True))","A",0
245,1,240,0,2.423537," ","integrate(x**5*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\begin{cases} - \frac{4 A a b}{9 a b^{3} \sqrt{a + b x^{3}} + 9 b^{4} x^{3} \sqrt{a + b x^{3}}} - \frac{6 A b^{2} x^{3}}{9 a b^{3} \sqrt{a + b x^{3}} + 9 b^{4} x^{3} \sqrt{a + b x^{3}}} + \frac{16 B a^{2}}{9 a b^{3} \sqrt{a + b x^{3}} + 9 b^{4} x^{3} \sqrt{a + b x^{3}}} + \frac{24 B a b x^{3}}{9 a b^{3} \sqrt{a + b x^{3}} + 9 b^{4} x^{3} \sqrt{a + b x^{3}}} + \frac{6 B b^{2} x^{6}}{9 a b^{3} \sqrt{a + b x^{3}} + 9 b^{4} x^{3} \sqrt{a + b x^{3}}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{6}}{6} + \frac{B x^{9}}{9}}{a^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*A*a*b/(9*a*b**3*sqrt(a + b*x**3) + 9*b**4*x**3*sqrt(a + b*x**3)) - 6*A*b**2*x**3/(9*a*b**3*sqrt(a + b*x**3) + 9*b**4*x**3*sqrt(a + b*x**3)) + 16*B*a**2/(9*a*b**3*sqrt(a + b*x**3) + 9*b**4*x**3*sqrt(a + b*x**3)) + 24*B*a*b*x**3/(9*a*b**3*sqrt(a + b*x**3) + 9*b**4*x**3*sqrt(a + b*x**3)) + 6*B*b**2*x**6/(9*a*b**3*sqrt(a + b*x**3) + 9*b**4*x**3*sqrt(a + b*x**3)), Ne(b, 0)), ((A*x**6/6 + B*x**9/9)/a**(5/2), True))","A",0
246,1,144,0,1.335077," ","integrate(x**2*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\begin{cases} - \frac{2 A b}{9 a b^{2} \sqrt{a + b x^{3}} + 9 b^{3} x^{3} \sqrt{a + b x^{3}}} - \frac{4 B a}{9 a b^{2} \sqrt{a + b x^{3}} + 9 b^{3} x^{3} \sqrt{a + b x^{3}}} - \frac{6 B b x^{3}}{9 a b^{2} \sqrt{a + b x^{3}} + 9 b^{3} x^{3} \sqrt{a + b x^{3}}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{3}}{3} + \frac{B x^{6}}{6}}{a^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*A*b/(9*a*b**2*sqrt(a + b*x**3) + 9*b**3*x**3*sqrt(a + b*x**3)) - 4*B*a/(9*a*b**2*sqrt(a + b*x**3) + 9*b**3*x**3*sqrt(a + b*x**3)) - 6*B*b*x**3/(9*a*b**2*sqrt(a + b*x**3) + 9*b**3*x**3*sqrt(a + b*x**3)), Ne(b, 0)), ((A*x**3/3 + B*x**6/6)/a**(5/2), True))","A",0
247,1,76,0,38.427343," ","integrate((B*x**3+A)/x/(b*x**3+a)**(5/2),x)","\frac{2 A}{3 a^{2} \sqrt{a + b x^{3}}} + \frac{2 A \operatorname{atan}{\left(\frac{\sqrt{a + b x^{3}}}{\sqrt{- a}} \right)}}{3 a^{2} \sqrt{- a}} - \frac{2 \left(- A b + B a\right)}{9 a b \left(a + b x^{3}\right)^{\frac{3}{2}}}"," ",0,"2*A/(3*a**2*sqrt(a + b*x**3)) + 2*A*atan(sqrt(a + b*x**3)/sqrt(-a))/(3*a**2*sqrt(-a)) - 2*(-A*b + B*a)/(9*a*b*(a + b*x**3)**(3/2))","A",0
248,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**4/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate(x**6*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,1,80,0,115.030762," ","integrate(x**3*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\frac{A x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{4}{3}, \frac{5}{2} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{7}{3}\right)} + \frac{B x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{7}{3}, \frac{5}{2} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{10}{3}\right)}"," ",0,"A*x**4*gamma(4/3)*hyper((4/3, 5/2), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(7/3)) + B*x**7*gamma(7/3)*hyper((7/3, 5/2), (10/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(10/3))","A",0
251,1,78,0,79.478645," ","integrate((B*x**3+A)/(b*x**3+a)**(5/2),x)","\frac{A x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{5}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{4}{3}\right)} + \frac{B x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{4}{3}, \frac{5}{2} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{7}{3}\right)}"," ",0,"A*x*gamma(1/3)*hyper((1/3, 5/2), (4/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(4/3)) + B*x**4*gamma(4/3)*hyper((4/3, 5/2), (7/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(7/3))","A",0
252,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**3/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**6/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,-1,0,0,0.000000," ","integrate(x**7*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
255,1,80,0,162.516260," ","integrate(x**4*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\frac{A x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{5}{3}, \frac{5}{2} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{8}{3}\right)} + \frac{B x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{5}{2}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{11}{3}\right)}"," ",0,"A*x**5*gamma(5/3)*hyper((5/3, 5/2), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(8/3)) + B*x**8*gamma(8/3)*hyper((5/2, 8/3), (11/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(11/3))","A",0
256,1,80,0,79.717659," ","integrate(x*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\frac{A x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{5}{2} \\ \frac{5}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{5}{3}\right)} + \frac{B x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{5}{3}, \frac{5}{2} \\ \frac{8}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{5}{2}} \Gamma\left(\frac{8}{3}\right)}"," ",0,"A*x**2*gamma(2/3)*hyper((2/3, 5/2), (5/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(5/3)) + B*x**5*gamma(5/3)*hyper((5/3, 5/2), (8/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(5/2)*gamma(8/3))","A",0
257,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**2/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate((B*x**3+A)/x**5/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,1,85,0,38.267835," ","integrate(x**8*(d*x**3+c)**(1/2)/(d*x**3+4*c),x)","\frac{2 \left(- \frac{16 \sqrt{3} c^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{c + d x^{3}}}{3 \sqrt{c}} \right)}}{3} + \frac{16 c^{2} \sqrt{c + d x^{3}}}{3} - \frac{5 c \left(c + d x^{3}\right)^{\frac{3}{2}}}{9} + \frac{\left(c + d x^{3}\right)^{\frac{5}{2}}}{15}\right)}{d^{3}}"," ",0,"2*(-16*sqrt(3)*c**(5/2)*atan(sqrt(3)*sqrt(c + d*x**3)/(3*sqrt(c)))/3 + 16*c**2*sqrt(c + d*x**3)/3 - 5*c*(c + d*x**3)**(3/2)/9 + (c + d*x**3)**(5/2)/15)/d**3","A",0
260,1,68,0,16.958081," ","integrate(x**5*(d*x**3+c)**(1/2)/(d*x**3+4*c),x)","\frac{2 \left(\frac{4 \sqrt{3} c^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{c + d x^{3}}}{3 \sqrt{c}} \right)}}{3} - \frac{4 c \sqrt{c + d x^{3}}}{3} + \frac{\left(c + d x^{3}\right)^{\frac{3}{2}}}{9}\right)}{d^{2}}"," ",0,"2*(4*sqrt(3)*c**(3/2)*atan(sqrt(3)*sqrt(c + d*x**3)/(3*sqrt(c)))/3 - 4*c*sqrt(c + d*x**3)/3 + (c + d*x**3)**(3/2)/9)/d**2","A",0
261,1,51,0,6.097048," ","integrate(x**2*(d*x**3+c)**(1/2)/(d*x**3+4*c),x)","\frac{2 \left(- \frac{\sqrt{3} \sqrt{c} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{c + d x^{3}}}{3 \sqrt{c}} \right)}}{3} + \frac{\sqrt{c + d x^{3}}}{3}\right)}{d}"," ",0,"2*(-sqrt(3)*sqrt(c)*atan(sqrt(3)*sqrt(c + d*x**3)/(3*sqrt(c)))/3 + sqrt(c + d*x**3)/3)/d","A",0
262,1,66,0,13.281124," ","integrate((d*x**3+c)**(1/2)/x/(d*x**3+4*c),x)","\frac{2 \left(\frac{d \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{12 \sqrt{- c}} + \frac{\sqrt{3} d \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{c + d x^{3}}}{3 \sqrt{c}} \right)}}{12 \sqrt{c}}\right)}{d}"," ",0,"2*(d*atan(sqrt(c + d*x**3)/sqrt(-c))/(12*sqrt(-c)) + sqrt(3)*d*atan(sqrt(3)*sqrt(c + d*x**3)/(3*sqrt(c)))/(12*sqrt(c)))/d","A",0
263,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**4/(d*x**3+4*c),x)","\int \frac{\sqrt{c + d x^{3}}}{x^{4} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**4*(4*c + d*x**3)), x)","F",0
264,0,0,0,0.000000," ","integrate(x**4*(d*x**3+c)**(1/2)/(d*x**3+4*c),x)","\int \frac{x^{4} \sqrt{c + d x^{3}}}{4 c + d x^{3}}\, dx"," ",0,"Integral(x**4*sqrt(c + d*x**3)/(4*c + d*x**3), x)","F",0
265,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(1/2)/(d*x**3+4*c),x)","\int \frac{x \sqrt{c + d x^{3}}}{4 c + d x^{3}}\, dx"," ",0,"Integral(x*sqrt(c + d*x**3)/(4*c + d*x**3), x)","F",0
266,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**2/(d*x**3+4*c),x)","\int \frac{\sqrt{c + d x^{3}}}{x^{2} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**2*(4*c + d*x**3)), x)","F",0
267,0,0,0,0.000000," ","integrate(x**3*(d*x**3+c)**(1/2)/(d*x**3+4*c),x)","\int \frac{x^{3} \sqrt{c + d x^{3}}}{4 c + d x^{3}}\, dx"," ",0,"Integral(x**3*sqrt(c + d*x**3)/(4*c + d*x**3), x)","F",0
268,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/(d*x**3+4*c),x)","\int \frac{\sqrt{c + d x^{3}}}{4 c + d x^{3}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(4*c + d*x**3), x)","F",0
269,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**3/(d*x**3+4*c),x)","\int \frac{\sqrt{c + d x^{3}}}{x^{3} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**3*(4*c + d*x**3)), x)","F",0
270,0,0,0,0.000000," ","integrate(x**8/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{x^{8}}{\sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(x**8/(sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
271,1,65,0,15.580685," ","integrate(x**5/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\begin{cases} \frac{2 \left(- \frac{4 \sqrt{3} \sqrt{c} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{c + d x^{3}}}{3 \sqrt{c}} \right)}}{9 d} + \frac{\sqrt{c + d x^{3}}}{3 d}\right)}{d} & \text{for}\: d \neq 0 \\\frac{x^{6}}{24 c^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*(-4*sqrt(3)*sqrt(c)*atan(sqrt(3)*sqrt(c + d*x**3)/(3*sqrt(c)))/(9*d) + sqrt(c + d*x**3)/(3*d))/d, Ne(d, 0)), (x**6/(24*c**(3/2)), True))","A",0
272,1,37,0,10.088685," ","integrate(x**2/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{c + d x^{3}}}{3 \sqrt{c}} \right)}}{9 \sqrt{c} d}"," ",0,"2*sqrt(3)*atan(sqrt(3)*sqrt(c + d*x**3)/(3*sqrt(c)))/(9*sqrt(c)*d)","A",0
273,1,63,0,12.246919," ","integrate(1/x/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{6 c \sqrt{- c}} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{c + d x^{3}}}{3 \sqrt{c}} \right)}}{18 c^{\frac{3}{2}}}"," ",0,"atan(sqrt(c + d*x**3)/sqrt(-c))/(6*c*sqrt(-c)) - sqrt(3)*atan(sqrt(3)*sqrt(c + d*x**3)/(3*sqrt(c)))/(18*c**(3/2))","A",0
274,0,0,0,0.000000," ","integrate(1/x**4/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{4} \sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**4*sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
275,0,0,0,0.000000," ","integrate(x**4/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{x^{4}}{\sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(x**4/(sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
276,0,0,0,0.000000," ","integrate(x/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{x}{\sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(x/(sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
277,0,0,0,0.000000," ","integrate(1/x**2/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**2*sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
278,0,0,0,0.000000," ","integrate(x**3/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{x^{3}}{\sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(x**3/(sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
279,0,0,0,0.000000," ","integrate(1/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{1}{\sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
280,0,0,0,0.000000," ","integrate(1/x**3/(d*x**3+4*c)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{c + d x^{3}} \left(4 c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**3*sqrt(c + d*x**3)*(4*c + d*x**3)), x)","F",0
281,0,0,0,0.000000," ","integrate(x/(-x**3+4)/(-x**3+1)**(1/2),x)","- \int \frac{x}{x^{3} \sqrt{1 - x^{3}} - 4 \sqrt{1 - x^{3}}}\, dx"," ",0,"-Integral(x/(x**3*sqrt(1 - x**3) - 4*sqrt(1 - x**3)), x)","F",0
282,1,99,0,60.265746," ","integrate(x**11*(d*x**3+c)**(1/2)/(-d*x**3+8*c),x)","\frac{2 \left(- \frac{512 c^{4} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{\sqrt{- c}} - \frac{512 c^{3} \sqrt{c + d x^{3}}}{3} - \frac{19 c^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}{3} - \frac{2 c \left(c + d x^{3}\right)^{\frac{5}{2}}}{5} - \frac{\left(c + d x^{3}\right)^{\frac{7}{2}}}{21}\right)}{d^{4}}"," ",0,"2*(-512*c**4*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/sqrt(-c) - 512*c**3*sqrt(c + d*x**3)/3 - 19*c**2*(c + d*x**3)**(3/2)/3 - 2*c*(c + d*x**3)**(5/2)/5 - (c + d*x**3)**(7/2)/21)/d**4","A",0
283,1,82,0,30.233479," ","integrate(x**8*(d*x**3+c)**(1/2)/(-d*x**3+8*c),x)","\frac{2 \left(- \frac{64 c^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{\sqrt{- c}} - \frac{64 c^{2} \sqrt{c + d x^{3}}}{3} - \frac{7 c \left(c + d x^{3}\right)^{\frac{3}{2}}}{9} - \frac{\left(c + d x^{3}\right)^{\frac{5}{2}}}{15}\right)}{d^{3}}"," ",0,"2*(-64*c**3*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/sqrt(-c) - 64*c**2*sqrt(c + d*x**3)/3 - 7*c*(c + d*x**3)**(3/2)/9 - (c + d*x**3)**(5/2)/15)/d**3","A",0
284,1,65,0,14.908267," ","integrate(x**5*(d*x**3+c)**(1/2)/(-d*x**3+8*c),x)","\frac{2 \left(- \frac{8 c^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{\sqrt{- c}} - \frac{8 c \sqrt{c + d x^{3}}}{3} - \frac{\left(c + d x^{3}\right)^{\frac{3}{2}}}{9}\right)}{d^{2}}"," ",0,"2*(-8*c**2*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/sqrt(-c) - 8*c*sqrt(c + d*x**3)/3 - (c + d*x**3)**(3/2)/9)/d**2","A",0
285,1,46,0,5.108655," ","integrate(x**2*(d*x**3+c)**(1/2)/(-d*x**3+8*c),x)","\frac{2 \left(- \frac{c \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{\sqrt{- c}} - \frac{\sqrt{c + d x^{3}}}{3}\right)}{d}"," ",0,"2*(-c*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/sqrt(-c) - sqrt(c + d*x**3)/3)/d","A",0
286,1,60,0,8.218628," ","integrate((d*x**3+c)**(1/2)/x/(-d*x**3+8*c),x)","\frac{2 \left(- \frac{d \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{8 \sqrt{- c}} + \frac{d \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{24 \sqrt{- c}}\right)}{d}"," ",0,"2*(-d*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(8*sqrt(-c)) + d*atan(sqrt(c + d*x**3)/sqrt(-c))/(24*sqrt(-c)))/d","A",0
287,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**4/(-d*x**3+8*c),x)","- \int \frac{\sqrt{c + d x^{3}}}{- 8 c x^{4} + d x^{7}}\, dx"," ",0,"-Integral(sqrt(c + d*x**3)/(-8*c*x**4 + d*x**7), x)","F",0
288,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**7/(-d*x**3+8*c),x)","- \int \frac{\sqrt{c + d x^{3}}}{- 8 c x^{7} + d x^{10}}\, dx"," ",0,"-Integral(sqrt(c + d*x**3)/(-8*c*x**7 + d*x**10), x)","F",0
289,0,0,0,0.000000," ","integrate(x**7*(d*x**3+c)**(1/2)/(-d*x**3+8*c),x)","- \int \frac{x^{7} \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx"," ",0,"-Integral(x**7*sqrt(c + d*x**3)/(-8*c + d*x**3), x)","F",0
290,0,0,0,0.000000," ","integrate(x**4*(d*x**3+c)**(1/2)/(-d*x**3+8*c),x)","- \int \frac{x^{4} \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx"," ",0,"-Integral(x**4*sqrt(c + d*x**3)/(-8*c + d*x**3), x)","F",0
291,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(1/2)/(-d*x**3+8*c),x)","- \int \frac{x \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx"," ",0,"-Integral(x*sqrt(c + d*x**3)/(-8*c + d*x**3), x)","F",0
292,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**2/(-d*x**3+8*c),x)","- \int \frac{\sqrt{c + d x^{3}}}{- 8 c x^{2} + d x^{5}}\, dx"," ",0,"-Integral(sqrt(c + d*x**3)/(-8*c*x**2 + d*x**5), x)","F",0
293,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**5/(-d*x**3+8*c),x)","- \int \frac{\sqrt{c + d x^{3}}}{- 8 c x^{5} + d x^{8}}\, dx"," ",0,"-Integral(sqrt(c + d*x**3)/(-8*c*x**5 + d*x**8), x)","F",0
294,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**8/(-d*x**3+8*c),x)","- \int \frac{\sqrt{c + d x^{3}}}{- 8 c x^{8} + d x^{11}}\, dx"," ",0,"-Integral(sqrt(c + d*x**3)/(-8*c*x**8 + d*x**11), x)","F",0
295,-1,0,0,0.000000," ","integrate(x**11*(d*x**3+c)**(3/2)/(-d*x**3+8*c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,1,110,0,108.785899," ","integrate(x**8*(d*x**3+c)**(3/2)/(-d*x**3+8*c),x)","- \frac{1152 c^{4} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{d^{3} \sqrt{- c}} - \frac{384 c^{3} \sqrt{c + d x^{3}}}{d^{3}} - \frac{128 c^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}{9 d^{3}} - \frac{14 c \left(c + d x^{3}\right)^{\frac{5}{2}}}{15 d^{3}} - \frac{2 \left(c + d x^{3}\right)^{\frac{7}{2}}}{21 d^{3}}"," ",0,"-1152*c**4*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(d**3*sqrt(-c)) - 384*c**3*sqrt(c + d*x**3)/d**3 - 128*c**2*(c + d*x**3)**(3/2)/(9*d**3) - 14*c*(c + d*x**3)**(5/2)/(15*d**3) - 2*(c + d*x**3)**(7/2)/(21*d**3)","A",0
297,1,90,0,62.736686," ","integrate(x**5*(d*x**3+c)**(3/2)/(-d*x**3+8*c),x)","- \frac{144 c^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{d^{2} \sqrt{- c}} - \frac{48 c^{2} \sqrt{c + d x^{3}}}{d^{2}} - \frac{16 c \left(c + d x^{3}\right)^{\frac{3}{2}}}{9 d^{2}} - \frac{2 \left(c + d x^{3}\right)^{\frac{5}{2}}}{15 d^{2}}"," ",0,"-144*c**3*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(d**2*sqrt(-c)) - 48*c**2*sqrt(c + d*x**3)/d**2 - 16*c*(c + d*x**3)**(3/2)/(9*d**2) - 2*(c + d*x**3)**(5/2)/(15*d**2)","A",0
298,1,65,0,29.253088," ","integrate(x**2*(d*x**3+c)**(3/2)/(-d*x**3+8*c),x)","- \frac{18 c^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{d \sqrt{- c}} - \frac{6 c \sqrt{c + d x^{3}}}{d} - \frac{2 \left(c + d x^{3}\right)^{\frac{3}{2}}}{9 d}"," ",0,"-18*c**2*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(d*sqrt(-c)) - 6*c*sqrt(c + d*x**3)/d - 2*(c + d*x**3)**(3/2)/(9*d)","A",0
299,1,73,0,24.743286," ","integrate((d*x**3+c)**(3/2)/x/(-d*x**3+8*c),x)","- \frac{9 c \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{4 \sqrt{- c}} + \frac{c \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{12 \sqrt{- c}} - \frac{2 \sqrt{c + d x^{3}}}{3}"," ",0,"-9*c*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(4*sqrt(-c)) + c*atan(sqrt(c + d*x**3)/sqrt(-c))/(12*sqrt(-c)) - 2*sqrt(c + d*x**3)/3","A",0
300,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**4/(-d*x**3+8*c),x)","- \int \frac{c \sqrt{c + d x^{3}}}{- 8 c x^{4} + d x^{7}}\, dx - \int \frac{d x^{3} \sqrt{c + d x^{3}}}{- 8 c x^{4} + d x^{7}}\, dx"," ",0,"-Integral(c*sqrt(c + d*x**3)/(-8*c*x**4 + d*x**7), x) - Integral(d*x**3*sqrt(c + d*x**3)/(-8*c*x**4 + d*x**7), x)","F",0
301,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**7/(-d*x**3+8*c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
302,0,0,0,0.000000," ","integrate(x**7*(d*x**3+c)**(3/2)/(-d*x**3+8*c),x)","- \int \frac{c x^{7} \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx - \int \frac{d x^{10} \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx"," ",0,"-Integral(c*x**7*sqrt(c + d*x**3)/(-8*c + d*x**3), x) - Integral(d*x**10*sqrt(c + d*x**3)/(-8*c + d*x**3), x)","F",0
303,0,0,0,0.000000," ","integrate(x**4*(d*x**3+c)**(3/2)/(-d*x**3+8*c),x)","- \int \frac{c x^{4} \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx - \int \frac{d x^{7} \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx"," ",0,"-Integral(c*x**4*sqrt(c + d*x**3)/(-8*c + d*x**3), x) - Integral(d*x**7*sqrt(c + d*x**3)/(-8*c + d*x**3), x)","F",0
304,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(3/2)/(-d*x**3+8*c),x)","- \int \frac{c x \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx - \int \frac{d x^{4} \sqrt{c + d x^{3}}}{- 8 c + d x^{3}}\, dx"," ",0,"-Integral(c*x*sqrt(c + d*x**3)/(-8*c + d*x**3), x) - Integral(d*x**4*sqrt(c + d*x**3)/(-8*c + d*x**3), x)","F",0
305,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**2/(-d*x**3+8*c),x)","- \int \frac{c \sqrt{c + d x^{3}}}{- 8 c x^{2} + d x^{5}}\, dx - \int \frac{d x^{3} \sqrt{c + d x^{3}}}{- 8 c x^{2} + d x^{5}}\, dx"," ",0,"-Integral(c*sqrt(c + d*x**3)/(-8*c*x**2 + d*x**5), x) - Integral(d*x**3*sqrt(c + d*x**3)/(-8*c*x**2 + d*x**5), x)","F",0
306,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**5/(-d*x**3+8*c),x)","- \int \frac{c \sqrt{c + d x^{3}}}{- 8 c x^{5} + d x^{8}}\, dx - \int \frac{d x^{3} \sqrt{c + d x^{3}}}{- 8 c x^{5} + d x^{8}}\, dx"," ",0,"-Integral(c*sqrt(c + d*x**3)/(-8*c*x**5 + d*x**8), x) - Integral(d*x**3*sqrt(c + d*x**3)/(-8*c*x**5 + d*x**8), x)","F",0
307,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**8/(-d*x**3+8*c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
308,0,0,0,0.000000," ","integrate(x**11/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{x^{11}}{- 8 c \sqrt{c + d x^{3}} + d x^{3} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(x**11/(-8*c*sqrt(c + d*x**3) + d*x**3*sqrt(c + d*x**3)), x)","F",0
309,0,0,0,0.000000," ","integrate(x**8/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{x^{8}}{- 8 c \sqrt{c + d x^{3}} + d x^{3} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(x**8/(-8*c*sqrt(c + d*x**3) + d*x**3*sqrt(c + d*x**3)), x)","F",0
310,1,61,0,16.347013," ","integrate(x**5/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","\begin{cases} \frac{2 \left(- \frac{8 c \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{9 d \sqrt{- c}} - \frac{\sqrt{c + d x^{3}}}{3 d}\right)}{d} & \text{for}\: d \neq 0 \\\frac{x^{6}}{48 c^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*(-8*c*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(9*d*sqrt(-c)) - sqrt(c + d*x**3)/(3*d))/d, Ne(d, 0)), (x**6/(48*c**(3/2)), True))","A",0
311,1,32,0,11.201743," ","integrate(x**2/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \frac{2 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{9 d \sqrt{- c}}"," ",0,"-2*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(9*d*sqrt(-c))","A",0
312,1,58,0,12.218549," ","integrate(1/x/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{36 c \sqrt{- c}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{12 c \sqrt{- c}}"," ",0,"-atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(36*c*sqrt(-c)) + atan(sqrt(c + d*x**3)/sqrt(-c))/(12*c*sqrt(-c))","A",0
313,0,0,0,0.000000," ","integrate(1/x**4/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c x^{4} \sqrt{c + d x^{3}} + d x^{7} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*x**4*sqrt(c + d*x**3) + d*x**7*sqrt(c + d*x**3)), x)","F",0
314,0,0,0,0.000000," ","integrate(1/x**7/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c x^{7} \sqrt{c + d x^{3}} + d x^{10} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*x**7*sqrt(c + d*x**3) + d*x**10*sqrt(c + d*x**3)), x)","F",0
315,0,0,0,0.000000," ","integrate(x**7/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{x^{7}}{- 8 c \sqrt{c + d x^{3}} + d x^{3} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(x**7/(-8*c*sqrt(c + d*x**3) + d*x**3*sqrt(c + d*x**3)), x)","F",0
316,0,0,0,0.000000," ","integrate(x**4/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{x^{4}}{- 8 c \sqrt{c + d x^{3}} + d x^{3} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(x**4/(-8*c*sqrt(c + d*x**3) + d*x**3*sqrt(c + d*x**3)), x)","F",0
317,0,0,0,0.000000," ","integrate(x/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{x}{- 8 c \sqrt{c + d x^{3}} + d x^{3} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(x/(-8*c*sqrt(c + d*x**3) + d*x**3*sqrt(c + d*x**3)), x)","F",0
318,0,0,0,0.000000," ","integrate(1/x**2/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c x^{2} \sqrt{c + d x^{3}} + d x^{5} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*x**2*sqrt(c + d*x**3) + d*x**5*sqrt(c + d*x**3)), x)","F",0
319,0,0,0,0.000000," ","integrate(1/x**5/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c x^{5} \sqrt{c + d x^{3}} + d x^{8} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*x**5*sqrt(c + d*x**3) + d*x**8*sqrt(c + d*x**3)), x)","F",0
320,0,0,0,0.000000," ","integrate(1/x**8/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c x^{8} \sqrt{c + d x^{3}} + d x^{11} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*x**8*sqrt(c + d*x**3) + d*x**11*sqrt(c + d*x**3)), x)","F",0
321,0,0,0,0.000000," ","integrate(x**3/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{x^{3}}{- 8 c \sqrt{c + d x^{3}} + d x^{3} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(x**3/(-8*c*sqrt(c + d*x**3) + d*x**3*sqrt(c + d*x**3)), x)","F",0
322,0,0,0,0.000000," ","integrate(1/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c \sqrt{c + d x^{3}} + d x^{3} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*sqrt(c + d*x**3) + d*x**3*sqrt(c + d*x**3)), x)","F",0
323,0,0,0,0.000000," ","integrate(1/x**3/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c x^{3} \sqrt{c + d x^{3}} + d x^{6} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*x**3*sqrt(c + d*x**3) + d*x**6*sqrt(c + d*x**3)), x)","F",0
324,0,0,0,0.000000," ","integrate(1/x**6/(-d*x**3+8*c)/(d*x**3+c)**(1/2),x)","- \int \frac{1}{- 8 c x^{6} \sqrt{c + d x^{3}} + d x^{9} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c*x**6*sqrt(c + d*x**3) + d*x**9*sqrt(c + d*x**3)), x)","F",0
325,-1,0,0,0.000000," ","integrate(x**11/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
326,-1,0,0,0.000000," ","integrate(x**8/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
327,1,58,0,27.571004," ","integrate(x**5/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\begin{cases} \frac{2 \left(\frac{1}{27 d \sqrt{c + d x^{3}}} - \frac{8 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{81 d \sqrt{- c}}\right)}{d} & \text{for}\: d \neq 0 \\\frac{x^{6}}{48 c^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*(1/(27*d*sqrt(c + d*x**3)) - 8*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(81*d*sqrt(-c)))/d, Ne(d, 0)), (x**6/(48*c**(5/2)), True))","A",0
328,1,51,0,25.526051," ","integrate(x**2/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","- \frac{2}{27 c d \sqrt{c + d x^{3}}} - \frac{2 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{81 c d \sqrt{- c}}"," ",0,"-2/(27*c*d*sqrt(c + d*x**3)) - 2*atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(81*c*d*sqrt(-c))","A",0
329,1,78,0,17.016209," ","integrate(1/x/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\frac{2}{27 c^{2} \sqrt{c + d x^{3}}} - \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{3 \sqrt{- c}} \right)}}{324 c^{2} \sqrt{- c}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{12 c^{2} \sqrt{- c}}"," ",0,"2/(27*c**2*sqrt(c + d*x**3)) - atan(sqrt(c + d*x**3)/(3*sqrt(-c)))/(324*c**2*sqrt(-c)) + atan(sqrt(c + d*x**3)/sqrt(-c))/(12*c**2*sqrt(-c))","A",0
330,0,0,0,0.000000," ","integrate(1/x**4/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","- \int \frac{1}{- 8 c^{2} x^{4} \sqrt{c + d x^{3}} - 7 c d x^{7} \sqrt{c + d x^{3}} + d^{2} x^{10} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c**2*x**4*sqrt(c + d*x**3) - 7*c*d*x**7*sqrt(c + d*x**3) + d**2*x**10*sqrt(c + d*x**3)), x)","F",0
331,-1,0,0,0.000000," ","integrate(1/x**7/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
332,-1,0,0,0.000000," ","integrate(x**7/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
333,-1,0,0,0.000000," ","integrate(x**4/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
334,0,0,0,0.000000," ","integrate(x/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","- \int \frac{x}{- 8 c^{2} \sqrt{c + d x^{3}} - 7 c d x^{3} \sqrt{c + d x^{3}} + d^{2} x^{6} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(x/(-8*c**2*sqrt(c + d*x**3) - 7*c*d*x**3*sqrt(c + d*x**3) + d**2*x**6*sqrt(c + d*x**3)), x)","F",0
335,0,0,0,0.000000," ","integrate(1/x**2/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","- \int \frac{1}{- 8 c^{2} x^{2} \sqrt{c + d x^{3}} - 7 c d x^{5} \sqrt{c + d x^{3}} + d^{2} x^{8} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c**2*x**2*sqrt(c + d*x**3) - 7*c*d*x**5*sqrt(c + d*x**3) + d**2*x**8*sqrt(c + d*x**3)), x)","F",0
336,0,0,0,0.000000," ","integrate(1/x**5/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","- \int \frac{1}{- 8 c^{2} x^{5} \sqrt{c + d x^{3}} - 7 c d x^{8} \sqrt{c + d x^{3}} + d^{2} x^{11} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c**2*x**5*sqrt(c + d*x**3) - 7*c*d*x**8*sqrt(c + d*x**3) + d**2*x**11*sqrt(c + d*x**3)), x)","F",0
337,-1,0,0,0.000000," ","integrate(1/x**8/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,-1,0,0,0.000000," ","integrate(x**3/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
339,0,0,0,0.000000," ","integrate(1/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","- \int \frac{1}{- 8 c^{2} \sqrt{c + d x^{3}} - 7 c d x^{3} \sqrt{c + d x^{3}} + d^{2} x^{6} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c**2*sqrt(c + d*x**3) - 7*c*d*x**3*sqrt(c + d*x**3) + d**2*x**6*sqrt(c + d*x**3)), x)","F",0
340,0,0,0,0.000000," ","integrate(1/x**3/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","- \int \frac{1}{- 8 c^{2} x^{3} \sqrt{c + d x^{3}} - 7 c d x^{6} \sqrt{c + d x^{3}} + d^{2} x^{9} \sqrt{c + d x^{3}}}\, dx"," ",0,"-Integral(1/(-8*c**2*x**3*sqrt(c + d*x**3) - 7*c*d*x**6*sqrt(c + d*x**3) + d**2*x**9*sqrt(c + d*x**3)), x)","F",0
341,-1,0,0,0.000000," ","integrate(1/x**6/(-d*x**3+8*c)/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
342,0,0,0,0.000000," ","integrate(x*(b*x**3+a)**(1/2)/(b*x**3+2*a*(5+3*3**(1/2))),x)","\int \frac{x \sqrt{a + b x^{3}}}{10 a + 6 \sqrt{3} a + b x^{3}}\, dx"," ",0,"Integral(x*sqrt(a + b*x**3)/(10*a + 6*sqrt(3)*a + b*x**3), x)","F",0
343,0,0,0,0.000000," ","integrate(x*(-b*x**3+a)**(1/2)/(-b*x**3+2*a*(5+3*3**(1/2))),x)","- \int \frac{x \sqrt{a - b x^{3}}}{- 6 \sqrt{3} a - 10 a + b x^{3}}\, dx"," ",0,"-Integral(x*sqrt(a - b*x**3)/(-6*sqrt(3)*a - 10*a + b*x**3), x)","F",0
344,0,0,0,0.000000," ","integrate(x*(b*x**3-a)**(1/2)/(b*x**3-2*a*(5+3*3**(1/2))),x)","\int \frac{x \sqrt{- a + b x^{3}}}{- 6 \sqrt{3} a - 10 a + b x^{3}}\, dx"," ",0,"Integral(x*sqrt(-a + b*x**3)/(-6*sqrt(3)*a - 10*a + b*x**3), x)","F",0
345,0,0,0,0.000000," ","integrate(x*(-b*x**3-a)**(1/2)/(-b*x**3-2*a*(5+3*3**(1/2))),x)","- \int \frac{x \sqrt{- a - b x^{3}}}{10 a + 6 \sqrt{3} a + b x^{3}}\, dx"," ",0,"-Integral(x*sqrt(-a - b*x**3)/(10*a + 6*sqrt(3)*a + b*x**3), x)","F",0
346,0,0,0,0.000000," ","integrate(x*(b*x**3+a)**(1/2)/(b*x**3+2*a*(5-3*3**(1/2))),x)","\int \frac{x \sqrt{a + b x^{3}}}{- 6 \sqrt{3} a + 10 a + b x^{3}}\, dx"," ",0,"Integral(x*sqrt(a + b*x**3)/(-6*sqrt(3)*a + 10*a + b*x**3), x)","F",0
347,0,0,0,0.000000," ","integrate(x*(-b*x**3+a)**(1/2)/(-b*x**3+2*a*(5-3*3**(1/2))),x)","- \int \frac{x \sqrt{a - b x^{3}}}{- 10 a + 6 \sqrt{3} a + b x^{3}}\, dx"," ",0,"-Integral(x*sqrt(a - b*x**3)/(-10*a + 6*sqrt(3)*a + b*x**3), x)","F",0
348,0,0,0,0.000000," ","integrate(x*(b*x**3-a)**(1/2)/(-b*x**3+2*a*(5-3*3**(1/2))),x)","- \int \frac{x \sqrt{- a + b x^{3}}}{- 10 a + 6 \sqrt{3} a + b x^{3}}\, dx"," ",0,"-Integral(x*sqrt(-a + b*x**3)/(-10*a + 6*sqrt(3)*a + b*x**3), x)","F",0
349,0,0,0,0.000000," ","integrate(x*(-b*x**3-a)**(1/2)/(b*x**3+2*a*(5-3*3**(1/2))),x)","\int \frac{x \sqrt{- a - b x^{3}}}{- 6 \sqrt{3} a + 10 a + b x^{3}}\, dx"," ",0,"Integral(x*sqrt(-a - b*x**3)/(-6*sqrt(3)*a + 10*a + b*x**3), x)","F",0
350,0,0,0,0.000000," ","integrate(x/(b*x**3+2*a*(5+3*3**(1/2)))/(b*x**3+a)**(1/2),x)","\int \frac{x}{\sqrt{a + b x^{3}} \left(10 a + 6 \sqrt{3} a + b x^{3}\right)}\, dx"," ",0,"Integral(x/(sqrt(a + b*x**3)*(10*a + 6*sqrt(3)*a + b*x**3)), x)","F",0
351,0,0,0,0.000000," ","integrate(x/(-b*x**3+2*a*(5+3*3**(1/2)))/(-b*x**3+a)**(1/2),x)","- \int \frac{x}{- 6 \sqrt{3} a \sqrt{a - b x^{3}} - 10 a \sqrt{a - b x^{3}} + b x^{3} \sqrt{a - b x^{3}}}\, dx"," ",0,"-Integral(x/(-6*sqrt(3)*a*sqrt(a - b*x**3) - 10*a*sqrt(a - b*x**3) + b*x**3*sqrt(a - b*x**3)), x)","F",0
352,0,0,0,0.000000," ","integrate(x/(b*x**3-2*a*(5+3*3**(1/2)))/(b*x**3-a)**(1/2),x)","\int \frac{x}{\sqrt{- a + b x^{3}} \left(- 6 \sqrt{3} a - 10 a + b x^{3}\right)}\, dx"," ",0,"Integral(x/(sqrt(-a + b*x**3)*(-6*sqrt(3)*a - 10*a + b*x**3)), x)","F",0
353,0,0,0,0.000000," ","integrate(x/(-b*x**3-2*a*(5+3*3**(1/2)))/(-b*x**3-a)**(1/2),x)","- \int \frac{x}{10 a \sqrt{- a - b x^{3}} + 6 \sqrt{3} a \sqrt{- a - b x^{3}} + b x^{3} \sqrt{- a - b x^{3}}}\, dx"," ",0,"-Integral(x/(10*a*sqrt(-a - b*x**3) + 6*sqrt(3)*a*sqrt(-a - b*x**3) + b*x**3*sqrt(-a - b*x**3)), x)","F",0
354,0,0,0,0.000000," ","integrate(x/(b*x**3+2*a*(5-3*3**(1/2)))/(b*x**3+a)**(1/2),x)","\int \frac{x}{\sqrt{a + b x^{3}} \left(- 6 \sqrt{3} a + 10 a + b x^{3}\right)}\, dx"," ",0,"Integral(x/(sqrt(a + b*x**3)*(-6*sqrt(3)*a + 10*a + b*x**3)), x)","F",0
355,0,0,0,0.000000," ","integrate(x/(-b*x**3+2*a*(5-3*3**(1/2)))/(-b*x**3+a)**(1/2),x)","- \int \frac{x}{- 10 a \sqrt{a - b x^{3}} + 6 \sqrt{3} a \sqrt{a - b x^{3}} + b x^{3} \sqrt{a - b x^{3}}}\, dx"," ",0,"-Integral(x/(-10*a*sqrt(a - b*x**3) + 6*sqrt(3)*a*sqrt(a - b*x**3) + b*x**3*sqrt(a - b*x**3)), x)","F",0
356,0,0,0,0.000000," ","integrate(x/(-b*x**3+2*a*(5-3*3**(1/2)))/(b*x**3-a)**(1/2),x)","- \int \frac{x}{- 10 a \sqrt{- a + b x^{3}} + 6 \sqrt{3} a \sqrt{- a + b x^{3}} + b x^{3} \sqrt{- a + b x^{3}}}\, dx"," ",0,"-Integral(x/(-10*a*sqrt(-a + b*x**3) + 6*sqrt(3)*a*sqrt(-a + b*x**3) + b*x**3*sqrt(-a + b*x**3)), x)","F",0
357,0,0,0,0.000000," ","integrate(x/(b*x**3+2*a*(5-3*3**(1/2)))/(-b*x**3-a)**(1/2),x)","\int \frac{x}{\sqrt{- a - b x^{3}} \left(- 6 \sqrt{3} a + 10 a + b x^{3}\right)}\, dx"," ",0,"Integral(x/(sqrt(-a - b*x**3)*(-6*sqrt(3)*a + 10*a + b*x**3)), x)","F",0
358,1,128,0,30.272124," ","integrate(x**8*(d*x**3+c)**(1/2)/(b*x**3+a),x)","\frac{2 \left(\frac{a^{2} d^{3} \sqrt{c + d x^{3}}}{3 b^{3}} - \frac{a^{2} d^{3} \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b^{4} \sqrt{\frac{a d - b c}{b}}} + \frac{d \left(c + d x^{3}\right)^{\frac{5}{2}}}{15 b} + \frac{\left(c + d x^{3}\right)^{\frac{3}{2}} \left(- a d^{2} - b c d\right)}{9 b^{2}}\right)}{d^{3}}"," ",0,"2*(a**2*d**3*sqrt(c + d*x**3)/(3*b**3) - a**2*d**3*(a*d - b*c)*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*b**4*sqrt((a*d - b*c)/b)) + d*(c + d*x**3)**(5/2)/(15*b) + (c + d*x**3)**(3/2)*(-a*d**2 - b*c*d)/(9*b**2))/d**3","A",0
359,1,95,0,14.673534," ","integrate(x**5*(d*x**3+c)**(1/2)/(b*x**3+a),x)","\frac{2 \left(- \frac{a d^{2} \sqrt{c + d x^{3}}}{3 b^{2}} + \frac{a d^{2} \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b^{3} \sqrt{\frac{a d - b c}{b}}} + \frac{d \left(c + d x^{3}\right)^{\frac{3}{2}}}{9 b}\right)}{d^{2}}"," ",0,"2*(-a*d**2*sqrt(c + d*x**3)/(3*b**2) + a*d**2*(a*d - b*c)*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*b**3*sqrt((a*d - b*c)/b)) + d*(c + d*x**3)**(3/2)/(9*b))/d**2","A",0
360,1,68,0,6.349460," ","integrate(x**2*(d*x**3+c)**(1/2)/(b*x**3+a),x)","\frac{2 \left(\frac{d \sqrt{c + d x^{3}}}{3 b} - \frac{d \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b^{2} \sqrt{\frac{a d - b c}{b}}}\right)}{d}"," ",0,"2*(d*sqrt(c + d*x**3)/(3*b) - d*(a*d - b*c)*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*b**2*sqrt((a*d - b*c)/b)))/d","A",0
361,1,85,0,12.247714," ","integrate((d*x**3+c)**(1/2)/x/(b*x**3+a),x)","\frac{2 \left(\frac{c d \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{3 a \sqrt{- c}} + \frac{d \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 a b \sqrt{\frac{a d - b c}{b}}}\right)}{d}"," ",0,"2*(c*d*atan(sqrt(c + d*x**3)/sqrt(-c))/(3*a*sqrt(-c)) + d*(a*d - b*c)*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*a*b*sqrt((a*d - b*c)/b)))/d","A",0
362,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**4/(b*x**3+a),x)","\int \frac{\sqrt{c + d x^{3}}}{x^{4} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**4*(a + b*x**3)), x)","F",0
363,0,0,0,0.000000," ","integrate(x**3*(d*x**3+c)**(1/2)/(b*x**3+a),x)","\int \frac{x^{3} \sqrt{c + d x^{3}}}{a + b x^{3}}\, dx"," ",0,"Integral(x**3*sqrt(c + d*x**3)/(a + b*x**3), x)","F",0
364,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(1/2)/(b*x**3+a),x)","\int \frac{x \sqrt{c + d x^{3}}}{a + b x^{3}}\, dx"," ",0,"Integral(x*sqrt(c + d*x**3)/(a + b*x**3), x)","F",0
365,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/(b*x**3+a),x)","\int \frac{\sqrt{c + d x^{3}}}{a + b x^{3}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(a + b*x**3), x)","F",0
366,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**2/(b*x**3+a),x)","\int \frac{\sqrt{c + d x^{3}}}{x^{2} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**2*(a + b*x**3)), x)","F",0
367,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**3/(b*x**3+a),x)","\int \frac{\sqrt{c + d x^{3}}}{x^{3} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**3*(a + b*x**3)), x)","F",0
368,1,153,0,129.923283," ","integrate(x**8*(d*x**3+c)**(3/2)/(b*x**3+a),x)","\frac{2 a^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}{9 b^{3}} + \frac{2 a^{2} \left(a d - b c\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b^{5} \sqrt{\frac{a d - b c}{b}}} + \frac{2 \left(c + d x^{3}\right)^{\frac{7}{2}}}{21 b d^{2}} + \frac{\left(c + d x^{3}\right)^{\frac{5}{2}} \left(- 2 a d - 2 b c\right)}{15 b^{2} d^{2}} + \frac{\sqrt{c + d x^{3}} \left(- 2 a^{3} d + 2 a^{2} b c\right)}{3 b^{4}}"," ",0,"2*a**2*(c + d*x**3)**(3/2)/(9*b**3) + 2*a**2*(a*d - b*c)**2*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*b**5*sqrt((a*d - b*c)/b)) + 2*(c + d*x**3)**(7/2)/(21*b*d**2) + (c + d*x**3)**(5/2)*(-2*a*d - 2*b*c)/(15*b**2*d**2) + sqrt(c + d*x**3)*(-2*a**3*d + 2*a**2*b*c)/(3*b**4)","A",0
369,1,116,0,70.599077," ","integrate(x**5*(d*x**3+c)**(3/2)/(b*x**3+a),x)","- \frac{2 a \left(c + d x^{3}\right)^{\frac{3}{2}}}{9 b^{2}} - \frac{2 a \left(a d - b c\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b^{4} \sqrt{\frac{a d - b c}{b}}} + \frac{2 \left(c + d x^{3}\right)^{\frac{5}{2}}}{15 b d} + \frac{\sqrt{c + d x^{3}} \left(2 a^{2} d - 2 a b c\right)}{3 b^{3}}"," ",0,"-2*a*(c + d*x**3)**(3/2)/(9*b**2) - 2*a*(a*d - b*c)**2*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*b**4*sqrt((a*d - b*c)/b)) + 2*(c + d*x**3)**(5/2)/(15*b*d) + sqrt(c + d*x**3)*(2*a**2*d - 2*a*b*c)/(3*b**3)","A",0
370,1,90,0,35.292734," ","integrate(x**2*(d*x**3+c)**(3/2)/(b*x**3+a),x)","\frac{2 \left(c + d x^{3}\right)^{\frac{3}{2}}}{9 b} + \frac{\sqrt{c + d x^{3}} \left(- 2 a d + 2 b c\right)}{3 b^{2}} + \frac{2 \left(a d - b c\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b^{3} \sqrt{\frac{a d - b c}{b}}}"," ",0,"2*(c + d*x**3)**(3/2)/(9*b) + sqrt(c + d*x**3)*(-2*a*d + 2*b*c)/(3*b**2) + 2*(a*d - b*c)**2*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*b**3*sqrt((a*d - b*c)/b))","A",0
371,1,102,0,39.290011," ","integrate((d*x**3+c)**(3/2)/x/(b*x**3+a),x)","\frac{2 d \sqrt{c + d x^{3}}}{3 b} + \frac{2 c^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{3 a \sqrt{- c}} - \frac{2 \left(a d - b c\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 a b^{2} \sqrt{\frac{a d - b c}{b}}}"," ",0,"2*d*sqrt(c + d*x**3)/(3*b) + 2*c**2*atan(sqrt(c + d*x**3)/sqrt(-c))/(3*a*sqrt(-c)) - 2*(a*d - b*c)**2*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*a*b**2*sqrt((a*d - b*c)/b))","A",0
372,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**4/(b*x**3+a),x)","\int \frac{\left(c + d x^{3}\right)^{\frac{3}{2}}}{x^{4} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral((c + d*x**3)**(3/2)/(x**4*(a + b*x**3)), x)","F",0
373,0,0,0,0.000000," ","integrate(x**3*(d*x**3+c)**(3/2)/(b*x**3+a),x)","\int \frac{x^{3} \left(c + d x^{3}\right)^{\frac{3}{2}}}{a + b x^{3}}\, dx"," ",0,"Integral(x**3*(c + d*x**3)**(3/2)/(a + b*x**3), x)","F",0
374,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(3/2)/(b*x**3+a),x)","\int \frac{x \left(c + d x^{3}\right)^{\frac{3}{2}}}{a + b x^{3}}\, dx"," ",0,"Integral(x*(c + d*x**3)**(3/2)/(a + b*x**3), x)","F",0
375,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/(b*x**3+a),x)","\int \frac{\left(c + d x^{3}\right)^{\frac{3}{2}}}{a + b x^{3}}\, dx"," ",0,"Integral((c + d*x**3)**(3/2)/(a + b*x**3), x)","F",0
376,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**2/(b*x**3+a),x)","\int \frac{\left(c + d x^{3}\right)^{\frac{3}{2}}}{x^{2} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral((c + d*x**3)**(3/2)/(x**2*(a + b*x**3)), x)","F",0
377,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**3/(b*x**3+a),x)","\int \frac{\left(c + d x^{3}\right)^{\frac{3}{2}}}{x^{3} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral((c + d*x**3)**(3/2)/(x**3*(a + b*x**3)), x)","F",0
378,0,0,0,0.000000," ","integrate(x**8/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{x^{8}}{\left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**8/((a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
379,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{x^{5}}{\left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**5/((a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
380,1,39,0,10.261485," ","integrate(x**2/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\frac{2 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b \sqrt{\frac{a d - b c}{b}}}"," ",0,"2*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*b*sqrt((a*d - b*c)/b))","A",0
381,1,70,0,19.391021," ","integrate(1/x/(b*x**3+a)/(d*x**3+c)**(1/2),x)","- \frac{2 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 a \sqrt{\frac{a d - b c}{b}}} + \frac{2 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{3 a \sqrt{- c}}"," ",0,"-2*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*a*sqrt((a*d - b*c)/b)) + 2*atan(sqrt(c + d*x**3)/sqrt(-c))/(3*a*sqrt(-c))","A",0
382,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{4} \left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
383,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{x^{3}}{\left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**3/((a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
384,0,0,0,0.000000," ","integrate(x/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x/((a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
385,0,0,0,0.000000," ","integrate(1/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/((a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
386,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
387,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{3} \left(a + b x^{3}\right) \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
388,0,0,0,0.000000," ","integrate(x**8/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{x^{8}}{\left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**8/((a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
389,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{x^{5}}{\left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5/((a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
390,1,66,0,32.782333," ","integrate(x**2/(b*x**3+a)/(d*x**3+c)**(3/2),x)","- \frac{2}{3 \sqrt{c + d x^{3}} \left(a d - b c\right)} - \frac{2 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 \sqrt{\frac{a d - b c}{b}} \left(a d - b c\right)}"," ",0,"-2/(3*sqrt(c + d*x**3)*(a*d - b*c)) - 2*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*sqrt((a*d - b*c)/b)*(a*d - b*c))","A",0
391,1,104,0,24.625915," ","integrate(1/x/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\frac{2 d}{3 c \sqrt{c + d x^{3}} \left(a d - b c\right)} + \frac{2 b \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 a \sqrt{\frac{a d - b c}{b}} \left(a d - b c\right)} + \frac{2 \operatorname{atan}{\left(\frac{\sqrt{c + d x^{3}}}{\sqrt{- c}} \right)}}{3 a c \sqrt{- c}}"," ",0,"2*d/(3*c*sqrt(c + d*x**3)*(a*d - b*c)) + 2*b*atan(sqrt(c + d*x**3)/sqrt((a*d - b*c)/b))/(3*a*sqrt((a*d - b*c)/b)*(a*d - b*c)) + 2*atan(sqrt(c + d*x**3)/sqrt(-c))/(3*a*c*sqrt(-c))","A",0
392,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{4} \left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
393,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{x^{3}}{\left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/((a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
394,0,0,0,0.000000," ","integrate(x/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{x}{\left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/((a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
395,0,0,0,0.000000," ","integrate(1/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{1}{\left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
396,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{2} \left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
397,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{3} \left(a + b x^{3}\right) \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**3)*(c + d*x**3)**(3/2)), x)","F",0
398,-1,0,0,0.000000," ","integrate(x**11*(d*x**3+c)**(1/2)/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
399,0,0,0,0.000000," ","integrate(x**8*(d*x**3+c)**(1/2)/(-d*x**3+8*c)**2,x)","\int \frac{x^{8} \sqrt{c + d x^{3}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**8*sqrt(c + d*x**3)/(-8*c + d*x**3)**2, x)","F",0
400,0,0,0,0.000000," ","integrate(x**5*(d*x**3+c)**(1/2)/(-d*x**3+8*c)**2,x)","\int \frac{x^{5} \sqrt{c + d x^{3}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**5*sqrt(c + d*x**3)/(-8*c + d*x**3)**2, x)","F",0
401,0,0,0,0.000000," ","integrate(x**2*(d*x**3+c)**(1/2)/(-d*x**3+8*c)**2,x)","\int \frac{x^{2} \sqrt{c + d x^{3}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**2*sqrt(c + d*x**3)/(-8*c + d*x**3)**2, x)","F",0
402,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x/(-d*x**3+8*c)**2,x)","\int \frac{\sqrt{c + d x^{3}}}{x \left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x*(-8*c + d*x**3)**2), x)","F",0
403,-1,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**4/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
404,-1,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**7/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
405,0,0,0,0.000000," ","integrate(x**7*(d*x**3+c)**(1/2)/(-d*x**3+8*c)**2,x)","\int \frac{x^{7} \sqrt{c + d x^{3}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**7*sqrt(c + d*x**3)/(-8*c + d*x**3)**2, x)","F",0
406,0,0,0,0.000000," ","integrate(x**4*(d*x**3+c)**(1/2)/(-d*x**3+8*c)**2,x)","\int \frac{x^{4} \sqrt{c + d x^{3}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**4*sqrt(c + d*x**3)/(-8*c + d*x**3)**2, x)","F",0
407,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(1/2)/(-d*x**3+8*c)**2,x)","\int \frac{x \sqrt{c + d x^{3}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x*sqrt(c + d*x**3)/(-8*c + d*x**3)**2, x)","F",0
408,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**2/(-d*x**3+8*c)**2,x)","\int \frac{\sqrt{c + d x^{3}}}{x^{2} \left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**2*(-8*c + d*x**3)**2), x)","F",0
409,-1,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**5/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
410,-1,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**8/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
411,-1,0,0,0.000000," ","integrate(x**11*(d*x**3+c)**(3/2)/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
412,-1,0,0,0.000000," ","integrate(x**8*(d*x**3+c)**(3/2)/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,-1,0,0,0.000000," ","integrate(x**5*(d*x**3+c)**(3/2)/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,-1,0,0,0.000000," ","integrate(x**2*(d*x**3+c)**(3/2)/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
415,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
416,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**4/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
417,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**7/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
418,-1,0,0,0.000000," ","integrate(x**7*(d*x**3+c)**(3/2)/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
419,0,0,0,0.000000," ","integrate(x**4*(d*x**3+c)**(3/2)/(-d*x**3+8*c)**2,x)","\int \frac{x^{4} \left(c + d x^{3}\right)^{\frac{3}{2}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**4*(c + d*x**3)**(3/2)/(-8*c + d*x**3)**2, x)","F",0
420,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(3/2)/(-d*x**3+8*c)**2,x)","\int \frac{x \left(c + d x^{3}\right)^{\frac{3}{2}}}{\left(- 8 c + d x^{3}\right)^{2}}\, dx"," ",0,"Integral(x*(c + d*x**3)**(3/2)/(-8*c + d*x**3)**2, x)","F",0
421,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**2/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
422,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**5/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
423,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**8/(-d*x**3+8*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
424,-1,0,0,0.000000," ","integrate(x**11/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
425,0,0,0,0.000000," ","integrate(x**8/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{8}}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**8/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
426,0,0,0,0.000000," ","integrate(x**5/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{5}}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**5/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
427,0,0,0,0.000000," ","integrate(x**2/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{2}}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**2/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
428,0,0,0,0.000000," ","integrate(1/x/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
429,0,0,0,0.000000," ","integrate(1/x**4/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{4} \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**4*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
430,0,0,0,0.000000," ","integrate(1/x**7/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{7} \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**7*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
431,0,0,0,0.000000," ","integrate(x**7/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{7}}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**7/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
432,0,0,0,0.000000," ","integrate(x**4/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{4}}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**4/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
433,0,0,0,0.000000," ","integrate(x/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
434,0,0,0,0.000000," ","integrate(1/x**2/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{2} \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**2*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
435,0,0,0,0.000000," ","integrate(1/x**5/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{5} \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**5*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
436,0,0,0,0.000000," ","integrate(1/x**8/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{8} \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**8*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
437,0,0,0,0.000000," ","integrate(x**6/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{6}}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**6/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
438,0,0,0,0.000000," ","integrate(x**3/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{3}}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**3/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
439,0,0,0,0.000000," ","integrate(1/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{\left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/((-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
440,0,0,0,0.000000," ","integrate(1/x**3/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{3} \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**3*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
441,0,0,0,0.000000," ","integrate(1/x**6/(-d*x**3+8*c)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{6} \left(- 8 c + d x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**6*(-8*c + d*x**3)**2*sqrt(c + d*x**3)), x)","F",0
442,-1,0,0,0.000000," ","integrate(x**11/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
443,0,0,0,0.000000," ","integrate(x**8/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{8}}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**8/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
444,0,0,0,0.000000," ","integrate(x**5/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{5}}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
445,0,0,0,0.000000," ","integrate(x**2/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{2}}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
446,0,0,0,0.000000," ","integrate(1/x/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
447,0,0,0,0.000000," ","integrate(1/x**4/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{4} \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**4*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
448,0,0,0,0.000000," ","integrate(1/x**7/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{7} \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**7*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
449,0,0,0,0.000000," ","integrate(x**7/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{7}}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**7/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
450,0,0,0,0.000000," ","integrate(x**4/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{4}}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
451,0,0,0,0.000000," ","integrate(x/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
452,0,0,0,0.000000," ","integrate(1/x**2/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{2} \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
453,0,0,0,0.000000," ","integrate(1/x**5/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{5} \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**5*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
454,0,0,0,0.000000," ","integrate(1/x**8/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{8} \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**8*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
455,0,0,0,0.000000," ","integrate(x**6/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{6}}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**6/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
456,0,0,0,0.000000," ","integrate(x**3/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{3}}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
457,0,0,0,0.000000," ","integrate(1/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{\left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
458,0,0,0,0.000000," ","integrate(1/x**3/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{3} \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
459,0,0,0,0.000000," ","integrate(1/x**6/(-d*x**3+8*c)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{6} \left(- 8 c + d x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**6*(-8*c + d*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
460,-1,0,0,0.000000," ","integrate(x**8*(d*x**3+c)**(1/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
461,-1,0,0,0.000000," ","integrate(x**5*(d*x**3+c)**(1/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
462,0,0,0,0.000000," ","integrate(x**2*(d*x**3+c)**(1/2)/(b*x**3+a)**2,x)","\int \frac{x^{2} \sqrt{c + d x^{3}}}{\left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**2*sqrt(c + d*x**3)/(a + b*x**3)**2, x)","F",0
463,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x/(b*x**3+a)**2,x)","\int \frac{\sqrt{c + d x^{3}}}{x \left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x*(a + b*x**3)**2), x)","F",0
464,-1,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**4/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
465,0,0,0,0.000000," ","integrate(x**3*(d*x**3+c)**(1/2)/(b*x**3+a)**2,x)","\int \frac{x^{3} \sqrt{c + d x^{3}}}{\left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**3*sqrt(c + d*x**3)/(a + b*x**3)**2, x)","F",0
466,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(1/2)/(b*x**3+a)**2,x)","\int \frac{x \sqrt{c + d x^{3}}}{\left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(x*sqrt(c + d*x**3)/(a + b*x**3)**2, x)","F",0
467,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/(b*x**3+a)**2,x)","\int \frac{\sqrt{c + d x^{3}}}{\left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(a + b*x**3)**2, x)","F",0
468,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**2/(b*x**3+a)**2,x)","\int \frac{\sqrt{c + d x^{3}}}{x^{2} \left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**2*(a + b*x**3)**2), x)","F",0
469,0,0,0,0.000000," ","integrate((d*x**3+c)**(1/2)/x**3/(b*x**3+a)**2,x)","\int \frac{\sqrt{c + d x^{3}}}{x^{3} \left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**3)/(x**3*(a + b*x**3)**2), x)","F",0
470,-1,0,0,0.000000," ","integrate(x**8*(d*x**3+c)**(3/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
471,-1,0,0,0.000000," ","integrate(x**5*(d*x**3+c)**(3/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
472,-1,0,0,0.000000," ","integrate(x**2*(d*x**3+c)**(3/2)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
473,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
474,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**4/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
475,0,0,0,0.000000," ","integrate(x**3*(d*x**3+c)**(3/2)/(b*x**3+a)**2,x)","\int \frac{x^{3} \left(c + d x^{3}\right)^{\frac{3}{2}}}{\left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(x**3*(c + d*x**3)**(3/2)/(a + b*x**3)**2, x)","F",0
476,0,0,0,0.000000," ","integrate(x*(d*x**3+c)**(3/2)/(b*x**3+a)**2,x)","\int \frac{x \left(c + d x^{3}\right)^{\frac{3}{2}}}{\left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(x*(c + d*x**3)**(3/2)/(a + b*x**3)**2, x)","F",0
477,0,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/(b*x**3+a)**2,x)","\int \frac{\left(c + d x^{3}\right)^{\frac{3}{2}}}{\left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral((c + d*x**3)**(3/2)/(a + b*x**3)**2, x)","F",0
478,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**2/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
479,-1,0,0,0.000000," ","integrate((d*x**3+c)**(3/2)/x**3/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
480,-1,0,0,0.000000," ","integrate(x**8/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
481,-1,0,0,0.000000," ","integrate(x**5/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
482,-1,0,0,0.000000," ","integrate(x**2/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
483,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x \left(a + b x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x*(a + b*x**3)**2*sqrt(c + d*x**3)), x)","F",0
484,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{4} \left(a + b x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**3)**2*sqrt(c + d*x**3)), x)","F",0
485,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\int \frac{x^{3}}{\left(a + b x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**3/((a + b*x**3)**2*sqrt(c + d*x**3)), x)","F",0
486,0,0,0,0.000000," ","integrate(x/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x/((a + b*x**3)**2*sqrt(c + d*x**3)), x)","F",0
487,0,0,0,0.000000," ","integrate(1/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/((a + b*x**3)**2*sqrt(c + d*x**3)), x)","F",0
488,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**3)**2*sqrt(c + d*x**3)), x)","F",0
489,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)**2/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{3} \left(a + b x^{3}\right)^{2} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**3)**2*sqrt(c + d*x**3)), x)","F",0
490,-1,0,0,0.000000," ","integrate(x**8/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
491,-1,0,0,0.000000," ","integrate(x**5/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,-1,0,0,0.000000," ","integrate(x**2/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
493,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x \left(a + b x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(a + b*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
494,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{4} \left(a + b x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
495,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\int \frac{x^{3}}{\left(a + b x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/((a + b*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
496,0,0,0,0.000000," ","integrate(x/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\int \frac{x}{\left(a + b x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/((a + b*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
497,0,0,0,0.000000," ","integrate(1/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{\left(a + b x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
498,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{2} \left(a + b x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
499,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)**2/(d*x**3+c)**(3/2),x)","\int \frac{1}{x^{3} \left(a + b x^{3}\right)^{2} \left(c + d x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**3)**2*(c + d*x**3)**(3/2)), x)","F",0
500,1,388,0,44.367766," ","integrate((e*x)**m*(b*x**3+a)**(5/2)*(B*x**3+A),x)","\frac{A a^{\frac{5}{2}} e^{m} x x^{m} \Gamma\left(\frac{m}{3} + \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{1}{3} \\ \frac{m}{3} + \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)} + \frac{2 A a^{\frac{3}{2}} b e^{m} x^{4} x^{m} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{4}{3} \\ \frac{m}{3} + \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)} + \frac{A \sqrt{a} b^{2} e^{m} x^{7} x^{m} \Gamma\left(\frac{m}{3} + \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{7}{3} \\ \frac{m}{3} + \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{10}{3}\right)} + \frac{B a^{\frac{5}{2}} e^{m} x^{4} x^{m} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{4}{3} \\ \frac{m}{3} + \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)} + \frac{2 B a^{\frac{3}{2}} b e^{m} x^{7} x^{m} \Gamma\left(\frac{m}{3} + \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{7}{3} \\ \frac{m}{3} + \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{10}{3}\right)} + \frac{B \sqrt{a} b^{2} e^{m} x^{10} x^{m} \Gamma\left(\frac{m}{3} + \frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{10}{3} \\ \frac{m}{3} + \frac{13}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{13}{3}\right)}"," ",0,"A*a**(5/2)*e**m*x*x**m*gamma(m/3 + 1/3)*hyper((-1/2, m/3 + 1/3), (m/3 + 4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 4/3)) + 2*A*a**(3/2)*b*e**m*x**4*x**m*gamma(m/3 + 4/3)*hyper((-1/2, m/3 + 4/3), (m/3 + 7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 7/3)) + A*sqrt(a)*b**2*e**m*x**7*x**m*gamma(m/3 + 7/3)*hyper((-1/2, m/3 + 7/3), (m/3 + 10/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 10/3)) + B*a**(5/2)*e**m*x**4*x**m*gamma(m/3 + 4/3)*hyper((-1/2, m/3 + 4/3), (m/3 + 7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 7/3)) + 2*B*a**(3/2)*b*e**m*x**7*x**m*gamma(m/3 + 7/3)*hyper((-1/2, m/3 + 7/3), (m/3 + 10/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 10/3)) + B*sqrt(a)*b**2*e**m*x**10*x**m*gamma(m/3 + 10/3)*hyper((-1/2, m/3 + 10/3), (m/3 + 13/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 13/3))","C",0
501,1,252,0,21.291280," ","integrate((e*x)**m*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\frac{A a^{\frac{3}{2}} e^{m} x x^{m} \Gamma\left(\frac{m}{3} + \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{1}{3} \\ \frac{m}{3} + \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)} + \frac{A \sqrt{a} b e^{m} x^{4} x^{m} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{4}{3} \\ \frac{m}{3} + \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)} + \frac{B a^{\frac{3}{2}} e^{m} x^{4} x^{m} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{4}{3} \\ \frac{m}{3} + \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)} + \frac{B \sqrt{a} b e^{m} x^{7} x^{m} \Gamma\left(\frac{m}{3} + \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{7}{3} \\ \frac{m}{3} + \frac{10}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{10}{3}\right)}"," ",0,"A*a**(3/2)*e**m*x*x**m*gamma(m/3 + 1/3)*hyper((-1/2, m/3 + 1/3), (m/3 + 4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 4/3)) + A*sqrt(a)*b*e**m*x**4*x**m*gamma(m/3 + 4/3)*hyper((-1/2, m/3 + 4/3), (m/3 + 7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 7/3)) + B*a**(3/2)*e**m*x**4*x**m*gamma(m/3 + 4/3)*hyper((-1/2, m/3 + 4/3), (m/3 + 7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 7/3)) + B*sqrt(a)*b*e**m*x**7*x**m*gamma(m/3 + 7/3)*hyper((-1/2, m/3 + 7/3), (m/3 + 10/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 10/3))","C",0
502,1,122,0,5.810648," ","integrate((e*x)**m*(b*x**3+a)**(1/2)*(B*x**3+A),x)","\frac{A \sqrt{a} e^{m} x x^{m} \Gamma\left(\frac{m}{3} + \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{1}{3} \\ \frac{m}{3} + \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)} + \frac{B \sqrt{a} e^{m} x^{4} x^{m} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{3} + \frac{4}{3} \\ \frac{m}{3} + \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)}"," ",0,"A*sqrt(a)*e**m*x*x**m*gamma(m/3 + 1/3)*hyper((-1/2, m/3 + 1/3), (m/3 + 4/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 4/3)) + B*sqrt(a)*e**m*x**4*x**m*gamma(m/3 + 4/3)*hyper((-1/2, m/3 + 4/3), (m/3 + 7/3,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(m/3 + 7/3))","C",0
503,1,119,0,4.870889," ","integrate((e*x)**m*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A e^{m} x x^{m} \Gamma\left(\frac{m}{3} + \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{3} + \frac{1}{3} \\ \frac{m}{3} + \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)} + \frac{B e^{m} x^{4} x^{m} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{3} + \frac{4}{3} \\ \frac{m}{3} + \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)}"," ",0,"A*e**m*x*x**m*gamma(m/3 + 1/3)*hyper((1/2, m/3 + 1/3), (m/3 + 4/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(m/3 + 4/3)) + B*e**m*x**4*x**m*gamma(m/3 + 4/3)*hyper((1/2, m/3 + 4/3), (m/3 + 7/3,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(m/3 + 7/3))","C",0
504,1,119,0,88.235638," ","integrate((e*x)**m*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\frac{A e^{m} x x^{m} \Gamma\left(\frac{m}{3} + \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{m}{3} + \frac{1}{3} \\ \frac{m}{3} + \frac{4}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right)} + \frac{B e^{m} x^{4} x^{m} \Gamma\left(\frac{m}{3} + \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{m}{3} + \frac{4}{3} \\ \frac{m}{3} + \frac{7}{3} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \Gamma\left(\frac{m}{3} + \frac{7}{3}\right)}"," ",0,"A*e**m*x*x**m*gamma(m/3 + 1/3)*hyper((3/2, m/3 + 1/3), (m/3 + 4/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(m/3 + 4/3)) + B*e**m*x**4*x**m*gamma(m/3 + 4/3)*hyper((3/2, m/3 + 4/3), (m/3 + 7/3,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*gamma(m/3 + 7/3))","C",0
505,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
506,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{x^{5}}{\sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**5/(sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
507,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**2/(sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
508,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x \sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
509,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{4} \sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**4*sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
510,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{x^{4}}{\sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**4/(sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
511,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{x^{3}}{\sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x**3/(sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
512,0,0,0,0.000000," ","integrate(x/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{x}{\sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(x/(sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
513,0,0,0,0.000000," ","integrate(1/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{1}{\sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
514,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
515,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)**(1/2)/(d*x**3+c)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a + b x^{3}} \sqrt{c + d x^{3}}}\, dx"," ",0,"Integral(1/(x**3*sqrt(a + b*x**3)*sqrt(c + d*x**3)), x)","F",0
516,1,292,0,130.857304," ","integrate((e*x)**(7/2)*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\frac{A a^{\frac{3}{2}} e^{\frac{7}{2}} x^{\frac{3}{2}}}{12 b \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{A \sqrt{a} e^{\frac{7}{2}} x^{\frac{9}{2}}}{4 \sqrt{1 + \frac{b x^{3}}{a}}} - \frac{A a^{2} e^{\frac{7}{2}} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{12 b^{\frac{3}{2}}} + \frac{A b e^{\frac{7}{2}} x^{\frac{15}{2}}}{6 \sqrt{a} \sqrt{1 + \frac{b x^{3}}{a}}} - \frac{B a^{\frac{5}{2}} e^{\frac{7}{2}} x^{\frac{3}{2}}}{24 b^{2} \sqrt{1 + \frac{b x^{3}}{a}}} - \frac{B a^{\frac{3}{2}} e^{\frac{7}{2}} x^{\frac{9}{2}}}{72 b \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{5 B \sqrt{a} e^{\frac{7}{2}} x^{\frac{15}{2}}}{36 \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B a^{3} e^{\frac{7}{2}} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{24 b^{\frac{5}{2}}} + \frac{B b e^{\frac{7}{2}} x^{\frac{21}{2}}}{9 \sqrt{a} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"A*a**(3/2)*e**(7/2)*x**(3/2)/(12*b*sqrt(1 + b*x**3/a)) + A*sqrt(a)*e**(7/2)*x**(9/2)/(4*sqrt(1 + b*x**3/a)) - A*a**2*e**(7/2)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(12*b**(3/2)) + A*b*e**(7/2)*x**(15/2)/(6*sqrt(a)*sqrt(1 + b*x**3/a)) - B*a**(5/2)*e**(7/2)*x**(3/2)/(24*b**2*sqrt(1 + b*x**3/a)) - B*a**(3/2)*e**(7/2)*x**(9/2)/(72*b*sqrt(1 + b*x**3/a)) + 5*B*sqrt(a)*e**(7/2)*x**(15/2)/(36*sqrt(1 + b*x**3/a)) + B*a**3*e**(7/2)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(24*b**(5/2)) + B*b*e**(7/2)*x**(21/2)/(9*sqrt(a)*sqrt(1 + b*x**3/a))","B",0
517,1,97,0,45.346574," ","integrate((e*x)**(5/2)*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} e^{\frac{5}{2}} x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{13}{6}\right)} + \frac{B \sqrt{a} e^{\frac{5}{2}} x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{19}{6}\right)}"," ",0,"A*sqrt(a)*e**(5/2)*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(13/6)) + B*sqrt(a)*e**(5/2)*x**(13/2)*gamma(13/6)*hyper((-1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(19/6))","C",0
518,1,97,0,14.975039," ","integrate((e*x)**(3/2)*(B*x**3+A)*(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} e^{\frac{3}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{11}{6}\right)} + \frac{B \sqrt{a} e^{\frac{3}{2}} x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{17}{6}\right)}"," ",0,"A*sqrt(a)*e**(3/2)*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(11/6)) + B*sqrt(a)*e**(3/2)*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(17/6))","C",0
519,1,201,0,9.669557," ","integrate((B*x**3+A)*(e*x)**(1/2)*(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} \left(e x\right)^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e} + \frac{A a \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{3 \sqrt{b}} + \frac{B a^{\frac{3}{2}} \left(e x\right)^{\frac{3}{2}}}{12 b e \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B \sqrt{a} \left(e x\right)^{\frac{9}{2}}}{4 e^{4} \sqrt{1 + \frac{b x^{3}}{a}}} - \frac{B a^{2} \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{12 b^{\frac{3}{2}}} + \frac{B b \left(e x\right)^{\frac{15}{2}}}{6 \sqrt{a} e^{7} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"A*sqrt(a)*(e*x)**(3/2)*sqrt(1 + b*x**3/a)/(3*e) + A*a*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(3*sqrt(b)) + B*a**(3/2)*(e*x)**(3/2)/(12*b*e*sqrt(1 + b*x**3/a)) + B*sqrt(a)*(e*x)**(9/2)/(4*e**4*sqrt(1 + b*x**3/a)) - B*a**2*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(12*b**(3/2)) + B*b*(e*x)**(15/2)/(6*sqrt(a)*e**7*sqrt(1 + b*x**3/a))","A",0
520,1,97,0,4.840553," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/(e*x)**(1/2),x)","\frac{A \sqrt{a} \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{7}{6}\right)} + \frac{B \sqrt{a} x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{13}{6}\right)}"," ",0,"A*sqrt(a)*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(7/6)) + B*sqrt(a)*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(13/6))","C",0
521,1,100,0,5.503799," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/(e*x)**(3/2),x)","\frac{A \sqrt{a} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{5}{6}\right)} + \frac{B \sqrt{a} x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{11}{6}\right)}"," ",0,"A*sqrt(a)*gamma(-1/6)*hyper((-1/2, -1/6), (5/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*sqrt(x)*gamma(5/6)) + B*sqrt(a)*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(11/6))","C",0
522,1,160,0,9.715318," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/(e*x)**(5/2),x)","- \frac{2 A \sqrt{a}}{3 e^{\frac{5}{2}} x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{2 A \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{3 e^{\frac{5}{2}}} - \frac{2 A b x^{\frac{3}{2}}}{3 \sqrt{a} e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B \sqrt{a} x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e^{\frac{5}{2}}} + \frac{B a \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{3 \sqrt{b} e^{\frac{5}{2}}}"," ",0,"-2*A*sqrt(a)/(3*e**(5/2)*x**(3/2)*sqrt(1 + b*x**3/a)) + 2*A*sqrt(b)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(3*e**(5/2)) - 2*A*b*x**(3/2)/(3*sqrt(a)*e**(5/2)*sqrt(1 + b*x**3/a)) + B*sqrt(a)*x**(3/2)*sqrt(1 + b*x**3/a)/(3*e**(5/2)) + B*a*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(3*sqrt(b)*e**(5/2))","A",0
523,1,100,0,25.041172," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/(e*x)**(7/2),x)","\frac{A \sqrt{a} \Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, - \frac{1}{2} \\ \frac{1}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{1}{6}\right)} + \frac{B \sqrt{a} \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right)}"," ",0,"A*sqrt(a)*gamma(-5/6)*hyper((-5/6, -1/2), (1/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*x**(5/2)*gamma(1/6)) + B*sqrt(a)*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(7/6))","C",0
524,1,97,0,22.004547," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**(9/2),x)","\frac{A \sqrt{a} \Gamma\left(- \frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{6}, - \frac{1}{2} \\ - \frac{1}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{\frac{7}{2}} \Gamma\left(- \frac{1}{6}\right)} + \frac{B \sqrt{a} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{x} \Gamma\left(\frac{5}{6}\right)}"," ",0,"A*sqrt(a)*gamma(-7/6)*hyper((-7/6, -1/2), (-1/6,), b*x**3*exp_polar(I*pi)/a)/(3*x**(7/2)*gamma(-1/6)) + B*sqrt(a)*gamma(-1/6)*hyper((-1/2, -1/6), (5/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(x)*gamma(5/6))","C",0
525,1,131,0,61.861635," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**(11/2),x)","- \frac{2 A \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{9 x^{3}} - \frac{2 A b^{\frac{3}{2}} \sqrt{\frac{a}{b x^{3}} + 1}}{9 a} - \frac{2 B \sqrt{a}}{3 x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{2 B \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{3} - \frac{2 B b x^{\frac{3}{2}}}{3 \sqrt{a} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"-2*A*sqrt(b)*sqrt(a/(b*x**3) + 1)/(9*x**3) - 2*A*b**(3/2)*sqrt(a/(b*x**3) + 1)/(9*a) - 2*B*sqrt(a)/(3*x**(3/2)*sqrt(1 + b*x**3/a)) + 2*B*sqrt(b)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/3 - 2*B*b*x**(3/2)/(3*sqrt(a)*sqrt(1 + b*x**3/a))","A",0
526,1,97,0,172.405739," ","integrate((B*x**3+A)*(b*x**3+a)**(1/2)/x**(13/2),x)","\frac{A \sqrt{a} \Gamma\left(- \frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{11}{6}, - \frac{1}{2} \\ - \frac{5}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{\frac{11}{2}} \Gamma\left(- \frac{5}{6}\right)} + \frac{B \sqrt{a} \Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, - \frac{1}{2} \\ \frac{1}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 x^{\frac{5}{2}} \Gamma\left(\frac{1}{6}\right)}"," ",0,"A*sqrt(a)*gamma(-11/6)*hyper((-11/6, -1/2), (-5/6,), b*x**3*exp_polar(I*pi)/a)/(3*x**(11/2)*gamma(-5/6)) + B*sqrt(a)*gamma(-5/6)*hyper((-5/6, -1/2), (1/6,), b*x**3*exp_polar(I*pi)/a)/(3*x**(5/2)*gamma(1/6))","C",0
527,-1,0,0,0.000000," ","integrate((e*x)**(7/2)*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
528,1,199,0,125.429832," ","integrate((e*x)**(5/2)*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\frac{A a^{\frac{3}{2}} e^{\frac{5}{2}} x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{13}{6}\right)} + \frac{A \sqrt{a} b e^{\frac{5}{2}} x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{19}{6}\right)} + \frac{B a^{\frac{3}{2}} e^{\frac{5}{2}} x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{19}{6}\right)} + \frac{B \sqrt{a} b e^{\frac{5}{2}} x^{\frac{19}{2}} \Gamma\left(\frac{19}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{19}{6} \\ \frac{25}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{25}{6}\right)}"," ",0,"A*a**(3/2)*e**(5/2)*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(13/6)) + A*sqrt(a)*b*e**(5/2)*x**(13/2)*gamma(13/6)*hyper((-1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(19/6)) + B*a**(3/2)*e**(5/2)*x**(13/2)*gamma(13/6)*hyper((-1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(19/6)) + B*sqrt(a)*b*e**(5/2)*x**(19/2)*gamma(19/6)*hyper((-1/2, 19/6), (25/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(25/6))","C",0
529,1,199,0,45.757623," ","integrate((e*x)**(3/2)*(b*x**3+a)**(3/2)*(B*x**3+A),x)","\frac{A a^{\frac{3}{2}} e^{\frac{3}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{11}{6}\right)} + \frac{A \sqrt{a} b e^{\frac{3}{2}} x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{17}{6}\right)} + \frac{B a^{\frac{3}{2}} e^{\frac{3}{2}} x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{17}{6}\right)} + \frac{B \sqrt{a} b e^{\frac{3}{2}} x^{\frac{17}{2}} \Gamma\left(\frac{17}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{17}{6} \\ \frac{23}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{23}{6}\right)}"," ",0,"A*a**(3/2)*e**(3/2)*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(11/6)) + A*sqrt(a)*b*e**(3/2)*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(17/6)) + B*a**(3/2)*e**(3/2)*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(17/6)) + B*sqrt(a)*b*e**(3/2)*x**(17/2)*gamma(17/6)*hyper((-1/2, 17/6), (23/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(23/6))","C",0
530,1,335,0,25.464309," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)*(e*x)**(1/2),x)","\frac{A a^{\frac{3}{2}} \left(e x\right)^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e} + \frac{A a^{\frac{3}{2}} \left(e x\right)^{\frac{3}{2}}}{12 e \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{A \sqrt{a} b \left(e x\right)^{\frac{9}{2}}}{4 e^{4} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{A a^{2} \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{4 \sqrt{b}} + \frac{A b^{2} \left(e x\right)^{\frac{15}{2}}}{6 \sqrt{a} e^{7} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B a^{\frac{5}{2}} \left(e x\right)^{\frac{3}{2}}}{24 b e \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{17 B a^{\frac{3}{2}} \left(e x\right)^{\frac{9}{2}}}{72 e^{4} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{11 B \sqrt{a} b \left(e x\right)^{\frac{15}{2}}}{36 e^{7} \sqrt{1 + \frac{b x^{3}}{a}}} - \frac{B a^{3} \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{24 b^{\frac{3}{2}}} + \frac{B b^{2} \left(e x\right)^{\frac{21}{2}}}{9 \sqrt{a} e^{10} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"A*a**(3/2)*(e*x)**(3/2)*sqrt(1 + b*x**3/a)/(3*e) + A*a**(3/2)*(e*x)**(3/2)/(12*e*sqrt(1 + b*x**3/a)) + A*sqrt(a)*b*(e*x)**(9/2)/(4*e**4*sqrt(1 + b*x**3/a)) + A*a**2*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(4*sqrt(b)) + A*b**2*(e*x)**(15/2)/(6*sqrt(a)*e**7*sqrt(1 + b*x**3/a)) + B*a**(5/2)*(e*x)**(3/2)/(24*b*e*sqrt(1 + b*x**3/a)) + 17*B*a**(3/2)*(e*x)**(9/2)/(72*e**4*sqrt(1 + b*x**3/a)) + 11*B*sqrt(a)*b*(e*x)**(15/2)/(36*e**7*sqrt(1 + b*x**3/a)) - B*a**3*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(24*b**(3/2)) + B*b**2*(e*x)**(21/2)/(9*sqrt(a)*e**10*sqrt(1 + b*x**3/a))","B",0
531,1,199,0,14.830166," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/(e*x)**(1/2),x)","\frac{A a^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{7}{6}\right)} + \frac{A \sqrt{a} b x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{13}{6}\right)} + \frac{B a^{\frac{3}{2}} x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{13}{6}\right)} + \frac{B \sqrt{a} b x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{19}{6}\right)}"," ",0,"A*a**(3/2)*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(7/6)) + A*sqrt(a)*b*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(13/6)) + B*a**(3/2)*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(13/6)) + B*sqrt(a)*b*x**(13/2)*gamma(13/6)*hyper((-1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(19/6))","C",0
532,1,202,0,15.708782," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/(e*x)**(3/2),x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{5}{6}\right)} + \frac{A \sqrt{a} b x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{11}{6}\right)} + \frac{B a^{\frac{3}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{11}{6}\right)} + \frac{B \sqrt{a} b x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{17}{6}\right)}"," ",0,"A*a**(3/2)*gamma(-1/6)*hyper((-1/2, -1/6), (5/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*sqrt(x)*gamma(5/6)) + A*sqrt(a)*b*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(11/6)) + B*a**(3/2)*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(11/6)) + B*sqrt(a)*b*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(17/6))","C",0
533,1,289,0,24.316705," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/(e*x)**(5/2),x)","- \frac{2 A a^{\frac{3}{2}}}{3 e^{\frac{5}{2}} x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{A \sqrt{a} b x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e^{\frac{5}{2}}} - \frac{2 A \sqrt{a} b x^{\frac{3}{2}}}{3 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{A a \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{e^{\frac{5}{2}}} + \frac{B a^{\frac{3}{2}} x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e^{\frac{5}{2}}} + \frac{B a^{\frac{3}{2}} x^{\frac{3}{2}}}{12 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B \sqrt{a} b x^{\frac{9}{2}}}{4 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{4 \sqrt{b} e^{\frac{5}{2}}} + \frac{B b^{2} x^{\frac{15}{2}}}{6 \sqrt{a} e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"-2*A*a**(3/2)/(3*e**(5/2)*x**(3/2)*sqrt(1 + b*x**3/a)) + A*sqrt(a)*b*x**(3/2)*sqrt(1 + b*x**3/a)/(3*e**(5/2)) - 2*A*sqrt(a)*b*x**(3/2)/(3*e**(5/2)*sqrt(1 + b*x**3/a)) + A*a*sqrt(b)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/e**(5/2) + B*a**(3/2)*x**(3/2)*sqrt(1 + b*x**3/a)/(3*e**(5/2)) + B*a**(3/2)*x**(3/2)/(12*e**(5/2)*sqrt(1 + b*x**3/a)) + B*sqrt(a)*b*x**(9/2)/(4*e**(5/2)*sqrt(1 + b*x**3/a)) + B*a**2*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(4*sqrt(b)*e**(5/2)) + B*b**2*x**(15/2)/(6*sqrt(a)*e**(5/2)*sqrt(1 + b*x**3/a))","B",0
534,1,202,0,41.463937," ","integrate((b*x**3+a)**(3/2)*(B*x**3+A)/(e*x)**(7/2),x)","\frac{A a^{\frac{3}{2}} \Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, - \frac{1}{2} \\ \frac{1}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{1}{6}\right)} + \frac{A \sqrt{a} b \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right)} + \frac{B a^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right)} + \frac{B \sqrt{a} b x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{13}{6}\right)}"," ",0,"A*a**(3/2)*gamma(-5/6)*hyper((-5/6, -1/2), (1/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*x**(5/2)*gamma(1/6)) + A*sqrt(a)*b*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(7/6)) + B*a**(3/2)*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(7/6)) + B*sqrt(a)*b*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(13/6))","C",0
535,-1,0,0,0.000000," ","integrate((e*x)**(7/2)*(b*x**3+a)**(5/2)*(B*x**3+A),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
536,-1,0,0,0.000000," ","integrate((e*x)**(5/2)*(b*x**3+a)**(5/2)*(B*x**3+A),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
537,1,308,0,104.339438," ","integrate((e*x)**(3/2)*(b*x**3+a)**(5/2)*(B*x**3+A),x)","\frac{A a^{\frac{5}{2}} e^{\frac{3}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{11}{6}\right)} + \frac{2 A a^{\frac{3}{2}} b e^{\frac{3}{2}} x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{17}{6}\right)} + \frac{A \sqrt{a} b^{2} e^{\frac{3}{2}} x^{\frac{17}{2}} \Gamma\left(\frac{17}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{17}{6} \\ \frac{23}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{23}{6}\right)} + \frac{B a^{\frac{5}{2}} e^{\frac{3}{2}} x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{17}{6}\right)} + \frac{2 B a^{\frac{3}{2}} b e^{\frac{3}{2}} x^{\frac{17}{2}} \Gamma\left(\frac{17}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{17}{6} \\ \frac{23}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{23}{6}\right)} + \frac{B \sqrt{a} b^{2} e^{\frac{3}{2}} x^{\frac{23}{2}} \Gamma\left(\frac{23}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{23}{6} \\ \frac{29}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{29}{6}\right)}"," ",0,"A*a**(5/2)*e**(3/2)*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(11/6)) + 2*A*a**(3/2)*b*e**(3/2)*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(17/6)) + A*sqrt(a)*b**2*e**(3/2)*x**(17/2)*gamma(17/6)*hyper((-1/2, 17/6), (23/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(23/6)) + B*a**(5/2)*e**(3/2)*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(17/6)) + 2*B*a**(3/2)*b*e**(3/2)*x**(17/2)*gamma(17/6)*hyper((-1/2, 17/6), (23/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(23/6)) + B*sqrt(a)*b**2*e**(3/2)*x**(23/2)*gamma(23/6)*hyper((-1/2, 23/6), (29/6,), b*x**3*exp_polar(I*pi)/a)/(3*gamma(29/6))","C",0
538,1,413,0,56.283654," ","integrate((b*x**3+a)**(5/2)*(B*x**3+A)*(e*x)**(1/2),x)","\frac{A a^{\frac{5}{2}} \left(e x\right)^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e} + \frac{A a^{\frac{5}{2}} \left(e x\right)^{\frac{3}{2}}}{8 e \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{35 A a^{\frac{3}{2}} b \left(e x\right)^{\frac{9}{2}}}{72 e^{4} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{17 A \sqrt{a} b^{2} \left(e x\right)^{\frac{15}{2}}}{36 e^{7} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{5 A a^{3} \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{24 \sqrt{b}} + \frac{A b^{3} \left(e x\right)^{\frac{21}{2}}}{9 \sqrt{a} e^{10} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{5 B a^{\frac{7}{2}} \left(e x\right)^{\frac{3}{2}}}{192 b e \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{133 B a^{\frac{5}{2}} \left(e x\right)^{\frac{9}{2}}}{576 e^{4} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{127 B a^{\frac{3}{2}} b \left(e x\right)^{\frac{15}{2}}}{288 e^{7} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{23 B \sqrt{a} b^{2} \left(e x\right)^{\frac{21}{2}}}{72 e^{10} \sqrt{1 + \frac{b x^{3}}{a}}} - \frac{5 B a^{4} \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{192 b^{\frac{3}{2}}} + \frac{B b^{3} \left(e x\right)^{\frac{27}{2}}}{12 \sqrt{a} e^{13} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"A*a**(5/2)*(e*x)**(3/2)*sqrt(1 + b*x**3/a)/(3*e) + A*a**(5/2)*(e*x)**(3/2)/(8*e*sqrt(1 + b*x**3/a)) + 35*A*a**(3/2)*b*(e*x)**(9/2)/(72*e**4*sqrt(1 + b*x**3/a)) + 17*A*sqrt(a)*b**2*(e*x)**(15/2)/(36*e**7*sqrt(1 + b*x**3/a)) + 5*A*a**3*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(24*sqrt(b)) + A*b**3*(e*x)**(21/2)/(9*sqrt(a)*e**10*sqrt(1 + b*x**3/a)) + 5*B*a**(7/2)*(e*x)**(3/2)/(192*b*e*sqrt(1 + b*x**3/a)) + 133*B*a**(5/2)*(e*x)**(9/2)/(576*e**4*sqrt(1 + b*x**3/a)) + 127*B*a**(3/2)*b*(e*x)**(15/2)/(288*e**7*sqrt(1 + b*x**3/a)) + 23*B*sqrt(a)*b**2*(e*x)**(21/2)/(72*e**10*sqrt(1 + b*x**3/a)) - 5*B*a**4*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(192*b**(3/2)) + B*b**3*(e*x)**(27/2)/(12*sqrt(a)*e**13*sqrt(1 + b*x**3/a))","B",0
539,1,308,0,40.001272," ","integrate((b*x**3+a)**(5/2)*(B*x**3+A)/(e*x)**(1/2),x)","\frac{A a^{\frac{5}{2}} \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{7}{6}\right)} + \frac{2 A a^{\frac{3}{2}} b x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{13}{6}\right)} + \frac{A \sqrt{a} b^{2} x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{19}{6}\right)} + \frac{B a^{\frac{5}{2}} x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{13}{6}\right)} + \frac{2 B a^{\frac{3}{2}} b x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{19}{6}\right)} + \frac{B \sqrt{a} b^{2} x^{\frac{19}{2}} \Gamma\left(\frac{19}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{19}{6} \\ \frac{25}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{e} \Gamma\left(\frac{25}{6}\right)}"," ",0,"A*a**(5/2)*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(7/6)) + 2*A*a**(3/2)*b*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(13/6)) + A*sqrt(a)*b**2*x**(13/2)*gamma(13/6)*hyper((-1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(19/6)) + B*a**(5/2)*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(13/6)) + 2*B*a**(3/2)*b*x**(13/2)*gamma(13/6)*hyper((-1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(19/6)) + B*sqrt(a)*b**2*x**(19/2)*gamma(19/6)*hyper((-1/2, 19/6), (25/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(e)*gamma(25/6))","C",0
540,1,311,0,39.744589," ","integrate((b*x**3+a)**(5/2)*(B*x**3+A)/(e*x)**(3/2),x)","\frac{A a^{\frac{5}{2}} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{5}{6}\right)} + \frac{2 A a^{\frac{3}{2}} b x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{11}{6}\right)} + \frac{A \sqrt{a} b^{2} x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{17}{6}\right)} + \frac{B a^{\frac{5}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{11}{6}\right)} + \frac{2 B a^{\frac{3}{2}} b x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{17}{6}\right)} + \frac{B \sqrt{a} b^{2} x^{\frac{17}{2}} \Gamma\left(\frac{17}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{17}{6} \\ \frac{23}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{3}{2}} \Gamma\left(\frac{23}{6}\right)}"," ",0,"A*a**(5/2)*gamma(-1/6)*hyper((-1/2, -1/6), (5/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*sqrt(x)*gamma(5/6)) + 2*A*a**(3/2)*b*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(11/6)) + A*sqrt(a)*b**2*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(17/6)) + B*a**(5/2)*x**(5/2)*gamma(5/6)*hyper((-1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(11/6)) + 2*B*a**(3/2)*b*x**(11/2)*gamma(11/6)*hyper((-1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(17/6)) + B*sqrt(a)*b**2*x**(17/2)*gamma(17/6)*hyper((-1/2, 17/6), (23/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(3/2)*gamma(23/6))","C",0
541,1,403,0,63.944756," ","integrate((b*x**3+a)**(5/2)*(B*x**3+A)/(e*x)**(5/2),x)","- \frac{2 A a^{\frac{5}{2}}}{3 e^{\frac{5}{2}} x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{2 A a^{\frac{3}{2}} b x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e^{\frac{5}{2}}} - \frac{7 A a^{\frac{3}{2}} b x^{\frac{3}{2}}}{12 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{A \sqrt{a} b^{2} x^{\frac{9}{2}}}{4 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{5 A a^{2} \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{4 e^{\frac{5}{2}}} + \frac{A b^{3} x^{\frac{15}{2}}}{6 \sqrt{a} e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B a^{\frac{5}{2}} x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 e^{\frac{5}{2}}} + \frac{B a^{\frac{5}{2}} x^{\frac{3}{2}}}{8 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{35 B a^{\frac{3}{2}} b x^{\frac{9}{2}}}{72 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{17 B \sqrt{a} b^{2} x^{\frac{15}{2}}}{36 e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{5 B a^{3} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{24 \sqrt{b} e^{\frac{5}{2}}} + \frac{B b^{3} x^{\frac{21}{2}}}{9 \sqrt{a} e^{\frac{5}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"-2*A*a**(5/2)/(3*e**(5/2)*x**(3/2)*sqrt(1 + b*x**3/a)) + 2*A*a**(3/2)*b*x**(3/2)*sqrt(1 + b*x**3/a)/(3*e**(5/2)) - 7*A*a**(3/2)*b*x**(3/2)/(12*e**(5/2)*sqrt(1 + b*x**3/a)) + A*sqrt(a)*b**2*x**(9/2)/(4*e**(5/2)*sqrt(1 + b*x**3/a)) + 5*A*a**2*sqrt(b)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(4*e**(5/2)) + A*b**3*x**(15/2)/(6*sqrt(a)*e**(5/2)*sqrt(1 + b*x**3/a)) + B*a**(5/2)*x**(3/2)*sqrt(1 + b*x**3/a)/(3*e**(5/2)) + B*a**(5/2)*x**(3/2)/(8*e**(5/2)*sqrt(1 + b*x**3/a)) + 35*B*a**(3/2)*b*x**(9/2)/(72*e**(5/2)*sqrt(1 + b*x**3/a)) + 17*B*sqrt(a)*b**2*x**(15/2)/(36*e**(5/2)*sqrt(1 + b*x**3/a)) + 5*B*a**3*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(24*sqrt(b)*e**(5/2)) + B*b**3*x**(21/2)/(9*sqrt(a)*e**(5/2)*sqrt(1 + b*x**3/a))","B",0
542,1,311,0,85.782952," ","integrate((b*x**3+a)**(5/2)*(B*x**3+A)/(e*x)**(7/2),x)","\frac{A a^{\frac{5}{2}} \Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, - \frac{1}{2} \\ \frac{1}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{1}{6}\right)} + \frac{2 A a^{\frac{3}{2}} b \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right)} + \frac{A \sqrt{a} b^{2} x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{13}{6}\right)} + \frac{B a^{\frac{5}{2}} \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right)} + \frac{2 B a^{\frac{3}{2}} b x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{13}{6}\right)} + \frac{B \sqrt{a} b^{2} x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 e^{\frac{7}{2}} \Gamma\left(\frac{19}{6}\right)}"," ",0,"A*a**(5/2)*gamma(-5/6)*hyper((-5/6, -1/2), (1/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*x**(5/2)*gamma(1/6)) + 2*A*a**(3/2)*b*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(7/6)) + A*sqrt(a)*b**2*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(13/6)) + B*a**(5/2)*sqrt(x)*gamma(1/6)*hyper((-1/2, 1/6), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(7/6)) + 2*B*a**(3/2)*b*x**(7/2)*gamma(7/6)*hyper((-1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(13/6)) + B*sqrt(a)*b**2*x**(13/2)*gamma(13/6)*hyper((-1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*e**(7/2)*gamma(19/6))","C",0
543,1,194,0,95.302946," ","integrate((e*x)**(7/2)*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A \sqrt{a} e^{\frac{7}{2}} x^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 b} - \frac{A a e^{\frac{7}{2}} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{3 b^{\frac{3}{2}}} - \frac{B a^{\frac{3}{2}} e^{\frac{7}{2}} x^{\frac{3}{2}}}{4 b^{2} \sqrt{1 + \frac{b x^{3}}{a}}} - \frac{B \sqrt{a} e^{\frac{7}{2}} x^{\frac{9}{2}}}{12 b \sqrt{1 + \frac{b x^{3}}{a}}} + \frac{B a^{2} e^{\frac{7}{2}} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{4 b^{\frac{5}{2}}} + \frac{B e^{\frac{7}{2}} x^{\frac{15}{2}}}{6 \sqrt{a} \sqrt{1 + \frac{b x^{3}}{a}}}"," ",0,"A*sqrt(a)*e**(7/2)*x**(3/2)*sqrt(1 + b*x**3/a)/(3*b) - A*a*e**(7/2)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(3*b**(3/2)) - B*a**(3/2)*e**(7/2)*x**(3/2)/(4*b**2*sqrt(1 + b*x**3/a)) - B*sqrt(a)*e**(7/2)*x**(9/2)/(12*b*sqrt(1 + b*x**3/a)) + B*a**2*e**(7/2)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(4*b**(5/2)) + B*e**(7/2)*x**(15/2)/(6*sqrt(a)*sqrt(1 + b*x**3/a))","A",0
544,1,94,0,32.074549," ","integrate((e*x)**(5/2)*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A e^{\frac{5}{2}} x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{13}{6}\right)} + \frac{B e^{\frac{5}{2}} x^{\frac{13}{2}} \Gamma\left(\frac{13}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{13}{6} \\ \frac{19}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{19}{6}\right)}"," ",0,"A*e**(5/2)*x**(7/2)*gamma(7/6)*hyper((1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(13/6)) + B*e**(5/2)*x**(13/2)*gamma(13/6)*hyper((1/2, 13/6), (19/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(19/6))","C",0
545,1,94,0,10.950288," ","integrate((e*x)**(3/2)*(B*x**3+A)/(b*x**3+a)**(1/2),x)","\frac{A e^{\frac{3}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{11}{6}\right)} + \frac{B e^{\frac{3}{2}} x^{\frac{11}{2}} \Gamma\left(\frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{11}{6} \\ \frac{17}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \Gamma\left(\frac{17}{6}\right)}"," ",0,"A*e**(3/2)*x**(5/2)*gamma(5/6)*hyper((1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(11/6)) + B*e**(3/2)*x**(11/2)*gamma(11/6)*hyper((1/2, 11/6), (17/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*gamma(17/6))","C",0
546,1,107,0,6.806308," ","integrate((B*x**3+A)*(e*x)**(1/2)/(b*x**3+a)**(1/2),x)","\frac{2 A \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{3 \sqrt{b}} + \frac{B \sqrt{a} \left(e x\right)^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}}{3 b e} - \frac{B a \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} \left(e x\right)^{\frac{3}{2}}}{\sqrt{a} e^{\frac{3}{2}}} \right)}}{3 b^{\frac{3}{2}}}"," ",0,"2*A*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(3*sqrt(b)) + B*sqrt(a)*(e*x)**(3/2)*sqrt(1 + b*x**3/a)/(3*b*e) - B*a*sqrt(e)*asinh(sqrt(b)*(e*x)**(3/2)/(sqrt(a)*e**(3/2)))/(3*b**(3/2))","A",0
547,1,94,0,3.538072," ","integrate((B*x**3+A)/(e*x)**(1/2)/(b*x**3+a)**(1/2),x)","\frac{A \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{6}, \frac{1}{2} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \sqrt{e} \Gamma\left(\frac{7}{6}\right)} + \frac{B x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} \sqrt{e} \Gamma\left(\frac{13}{6}\right)}"," ",0,"A*sqrt(x)*gamma(1/6)*hyper((1/6, 1/2), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*sqrt(e)*gamma(7/6)) + B*x**(7/2)*gamma(7/6)*hyper((1/2, 7/6), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*sqrt(e)*gamma(13/6))","C",0
548,1,97,0,4.266381," ","integrate((B*x**3+A)/(e*x)**(3/2)/(b*x**3+a)**(1/2),x)","\frac{A \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{1}{2} \\ \frac{5}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} e^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{5}{6}\right)} + \frac{B x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} e^{\frac{3}{2}} \Gamma\left(\frac{11}{6}\right)}"," ",0,"A*gamma(-1/6)*hyper((-1/6, 1/2), (5/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*e**(3/2)*sqrt(x)*gamma(5/6)) + B*x**(5/2)*gamma(5/6)*hyper((1/2, 5/6), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*e**(3/2)*gamma(11/6))","C",0
549,1,60,0,10.112458," ","integrate((B*x**3+A)/(e*x)**(5/2)/(b*x**3+a)**(1/2),x)","- \frac{2 A \sqrt{b} \sqrt{\frac{a}{b x^{3}} + 1}}{3 a e^{\frac{5}{2}}} + \frac{2 B \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{3 \sqrt{b} e^{\frac{5}{2}}}"," ",0,"-2*A*sqrt(b)*sqrt(a/(b*x**3) + 1)/(3*a*e**(5/2)) + 2*B*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(3*sqrt(b)*e**(5/2))","A",0
550,1,97,0,32.024177," ","integrate((B*x**3+A)/(e*x)**(7/2)/(b*x**3+a)**(1/2),x)","\frac{A \Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, \frac{1}{2} \\ \frac{1}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} e^{\frac{7}{2}} x^{\frac{5}{2}} \Gamma\left(\frac{1}{6}\right)} + \frac{B \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{6}, \frac{1}{2} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt{a} e^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right)}"," ",0,"A*gamma(-5/6)*hyper((-5/6, 1/2), (1/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*e**(7/2)*x**(5/2)*gamma(1/6)) + B*sqrt(x)*gamma(1/6)*hyper((1/6, 1/2), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*sqrt(a)*e**(7/2)*gamma(7/6))","C",0
551,-1,0,0,0.000000," ","integrate((e*x)**(7/2)*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
552,-1,0,0,0.000000," ","integrate((e*x)**(5/2)*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
553,-1,0,0,0.000000," ","integrate((e*x)**(3/2)*(B*x**3+A)/(b*x**3+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
554,1,95,0,33.619717," ","integrate((B*x**3+A)*(e*x)**(1/2)/(b*x**3+a)**(3/2),x)","\frac{2 A \sqrt{e} x^{\frac{3}{2}}}{3 a^{\frac{3}{2}} \sqrt{1 + \frac{b x^{3}}{a}}} + B \left(\frac{2 \sqrt{e} \operatorname{asinh}{\left(\frac{\sqrt{b} x^{\frac{3}{2}}}{\sqrt{a}} \right)}}{3 b^{\frac{3}{2}}} - \frac{2 \sqrt{e} x^{\frac{3}{2}}}{3 \sqrt{a} b \sqrt{1 + \frac{b x^{3}}{a}}}\right)"," ",0,"2*A*sqrt(e)*x**(3/2)/(3*a**(3/2)*sqrt(1 + b*x**3/a)) + B*(2*sqrt(e)*asinh(sqrt(b)*x**(3/2)/sqrt(a))/(3*b**(3/2)) - 2*sqrt(e)*x**(3/2)/(3*sqrt(a)*b*sqrt(1 + b*x**3/a)))","A",0
555,1,94,0,72.364005," ","integrate((B*x**3+A)/(b*x**3+a)**(3/2)/(e*x)**(1/2),x)","\frac{A \sqrt{x} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{6}, \frac{3}{2} \\ \frac{7}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \sqrt{e} \Gamma\left(\frac{7}{6}\right)} + \frac{B x^{\frac{7}{2}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{7}{6}, \frac{3}{2} \\ \frac{13}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} \sqrt{e} \Gamma\left(\frac{13}{6}\right)}"," ",0,"A*sqrt(x)*gamma(1/6)*hyper((1/6, 3/2), (7/6,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*sqrt(e)*gamma(7/6)) + B*x**(7/2)*gamma(7/6)*hyper((7/6, 3/2), (13/6,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*sqrt(e)*gamma(13/6))","C",0
556,1,97,0,144.000713," ","integrate((B*x**3+A)/(e*x)**(3/2)/(b*x**3+a)**(3/2),x)","\frac{A \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{3}{2} \\ \frac{5}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} e^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{5}{6}\right)} + \frac{B x^{\frac{5}{2}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{5}{6}, \frac{3}{2} \\ \frac{11}{6} \end{matrix}\middle| {\frac{b x^{3} e^{i \pi}}{a}} \right)}}{3 a^{\frac{3}{2}} e^{\frac{3}{2}} \Gamma\left(\frac{11}{6}\right)}"," ",0,"A*gamma(-1/6)*hyper((-1/6, 3/2), (5/6,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*e**(3/2)*sqrt(x)*gamma(5/6)) + B*x**(5/2)*gamma(5/6)*hyper((5/6, 3/2), (11/6,), b*x**3*exp_polar(I*pi)/a)/(3*a**(3/2)*e**(3/2)*gamma(11/6))","C",0
557,-1,0,0,0.000000," ","integrate((B*x**3+A)/(e*x)**(5/2)/(b*x**3+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
558,-1,0,0,0.000000," ","integrate((B*x**3+A)/(e*x)**(7/2)/(b*x**3+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
559,-1,0,0,0.000000," ","integrate((e*x)**(7/2)*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
560,-1,0,0,0.000000," ","integrate((e*x)**(5/2)*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
561,-1,0,0,0.000000," ","integrate((e*x)**(3/2)*(B*x**3+A)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
562,-1,0,0,0.000000," ","integrate((B*x**3+A)*(e*x)**(1/2)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
563,-1,0,0,0.000000," ","integrate((B*x**3+A)/(b*x**3+a)**(5/2)/(e*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
564,-1,0,0,0.000000," ","integrate((B*x**3+A)/(e*x)**(3/2)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
565,-1,0,0,0.000000," ","integrate((B*x**3+A)/(e*x)**(5/2)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
566,-1,0,0,0.000000," ","integrate((B*x**3+A)/(e*x)**(7/2)/(b*x**3+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
567,0,0,0,0.000000," ","integrate(x**11*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{11} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**11*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
568,0,0,0,0.000000," ","integrate(x**8*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{8} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**8*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
569,0,0,0,0.000000," ","integrate(x**5*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{5} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**5*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
570,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{2} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**2*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
571,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x + b x^{4}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x + b*x**4), x)/d","F",0
572,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**4/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x^{4} + b x^{7}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x**4 + b*x**7), x)/d","F",0
573,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**7/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x^{7} + b x^{10}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x**7 + b*x**10), x)/d","F",0
574,0,0,0,0.000000," ","integrate(x**7*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{7} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**7*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
575,0,0,0,0.000000," ","integrate(x**4*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{4} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**4*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
576,0,0,0,0.000000," ","integrate(x*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
577,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**2/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x^{2} + b x^{5}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x**2 + b*x**5), x)/d","F",0
578,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**5/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x^{5} + b x^{8}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x**5 + b*x**8), x)/d","F",0
579,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**8/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x^{8} + b x^{11}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x**8 + b*x**11), x)/d","F",0
580,-1,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**11/(-b*d*x**3+a*d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
581,0,0,0,0.000000," ","integrate(x**6*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{6} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**6*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
582,0,0,0,0.000000," ","integrate(x**3*(b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{3} \sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**3*(a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
583,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a + b*x**3), x)/d","F",0
584,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**3/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x^{3} + b x^{6}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x**3 + b*x**6), x)/d","F",0
585,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**6/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\sqrt[3]{a + b x^{3}}}{- a x^{6} + b x^{9}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(1/3)/(-a*x**6 + b*x**9), x)/d","F",0
586,-1,0,0,0.000000," ","integrate(x**11*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
587,0,0,0,0.000000," ","integrate(x**8*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{8} \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**8*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
588,0,0,0,0.000000," ","integrate(x**5*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{5} \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**5*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
589,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{2} \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**2*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
590,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a x + b x^{4}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a*x + b*x**4), x)/d","F",0
591,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**4/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a x^{4} + b x^{7}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a*x**4 + b*x**7), x)/d","F",0
592,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**7/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a x^{7} + b x^{10}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a*x**7 + b*x**10), x)/d","F",0
593,0,0,0,0.000000," ","integrate(x**6*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{6} \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**6*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
594,0,0,0,0.000000," ","integrate(x**3*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{3} \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**3*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
595,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
596,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**3/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a x^{3} + b x^{6}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a*x**3 + b*x**6), x)/d","F",0
597,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**6/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a x^{6} + b x^{9}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a*x**6 + b*x**9), x)/d","F",0
598,-1,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**9/(-b*d*x**3+a*d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
599,-1,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**12/(-b*d*x**3+a*d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
600,0,0,0,0.000000," ","integrate(x**7*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{7} \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**7*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
601,0,0,0,0.000000," ","integrate(x**4*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x^{4} \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x**4*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
602,0,0,0,0.000000," ","integrate(x*(b*x**3+a)**(2/3)/(-b*d*x**3+a*d),x)","- \frac{\int \frac{x \left(a + b x^{3}\right)^{\frac{2}{3}}}{- a + b x^{3}}\, dx}{d}"," ",0,"-Integral(x*(a + b*x**3)**(2/3)/(-a + b*x**3), x)/d","F",0
603,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**2/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a x^{2} + b x^{5}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a*x**2 + b*x**5), x)/d","F",0
604,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**5/(-b*d*x**3+a*d),x)","- \frac{\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{- a x^{5} + b x^{8}}\, dx}{d}"," ",0,"-Integral((a + b*x**3)**(2/3)/(-a*x**5 + b*x**8), x)/d","F",0
605,0,0,0,0.000000," ","integrate(x**14/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{14}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**14/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
606,0,0,0,0.000000," ","integrate(x**11/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{11}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**11/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
607,0,0,0,0.000000," ","integrate(x**8/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{8}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**8/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
608,0,0,0,0.000000," ","integrate(x**5/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{5}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**5/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
609,0,0,0,0.000000," ","integrate(x**2/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{2}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**2/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
610,0,0,0,0.000000," ","integrate(1/x/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{x \sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x*(-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
611,0,0,0,0.000000," ","integrate(1/x**4/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{x^{4} \sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**4*(-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
612,0,0,0,0.000000," ","integrate(x**6/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{6}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**6/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
613,0,0,0,0.000000," ","integrate(x**3/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{3}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**3/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
614,0,0,0,0.000000," ","integrate(1/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
615,0,0,0,0.000000," ","integrate(1/x**3/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{x^{3} \sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**3*(-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
616,0,0,0,0.000000," ","integrate(1/x**6/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{x^{6} \sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**6*(-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
617,0,0,0,0.000000," ","integrate(1/x**9/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{x^{9} \sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**9*(-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
618,0,0,0,0.000000," ","integrate(x**7/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{7}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**7/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
619,0,0,0,0.000000," ","integrate(x**4/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x^{4}}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**4/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
620,0,0,0,0.000000," ","integrate(x/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{x}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
621,0,0,0,0.000000," ","integrate(1/x**2/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{x^{2} \sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**2*(-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
622,0,0,0,0.000000," ","integrate(1/x**5/(-x**3+1)**(1/3)/(x**3+1),x)","\int \frac{1}{x^{5} \sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**5*(-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
623,0,0,0,0.000000," ","integrate(x**11/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{11}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**11/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
624,0,0,0,0.000000," ","integrate(x**8/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{8}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**8/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
625,0,0,0,0.000000," ","integrate(x**5/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{5}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**5/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
626,0,0,0,0.000000," ","integrate(x**2/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{2}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**2/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
627,0,0,0,0.000000," ","integrate(1/x/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{1}{x \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x*(-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
628,0,0,0,0.000000," ","integrate(1/x**4/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{1}{x^{4} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**4*(-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
629,0,0,0,0.000000," ","integrate(x**7/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{7}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**7/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
630,0,0,0,0.000000," ","integrate(x**4/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{4}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**4/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
631,0,0,0,0.000000," ","integrate(x/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
632,0,0,0,0.000000," ","integrate(1/x**2/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{1}{x^{2} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**2*(-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
633,0,0,0,0.000000," ","integrate(1/x**5/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{1}{x^{5} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**5*(-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
634,0,0,0,0.000000," ","integrate(x**6/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{6}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**6/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
635,0,0,0,0.000000," ","integrate(x**3/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{x^{3}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**3/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
636,0,0,0,0.000000," ","integrate(1/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{1}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/((-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
637,0,0,0,0.000000," ","integrate(1/x**3/(-x**3+1)**(2/3)/(x**3+1),x)","\int \frac{1}{x^{3} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**3*(-(x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
638,0,0,0,0.000000," ","integrate(x**14/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{14}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**14/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
639,0,0,0,0.000000," ","integrate(x**11/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{11}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**11/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
640,0,0,0,0.000000," ","integrate(x**8/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{8}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**8/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
641,0,0,0,0.000000," ","integrate(x**5/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{5}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**5/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
642,0,0,0,0.000000," ","integrate(x**2/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{2}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**2/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
643,0,0,0,0.000000," ","integrate(1/x/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{x \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x*(-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
644,0,0,0,0.000000," ","integrate(1/x**4/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{x^{4} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**4*(-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
645,0,0,0,0.000000," ","integrate(x**9/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{9}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**9/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
646,0,0,0,0.000000," ","integrate(x**6/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{6}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**6/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
647,0,0,0,0.000000," ","integrate(x**3/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{3}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**3/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
648,0,0,0,0.000000," ","integrate(1/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
649,0,0,0,0.000000," ","integrate(1/x**3/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{x^{3} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**3*(-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
650,0,0,0,0.000000," ","integrate(1/x**6/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{x^{6} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**6*(-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
651,0,0,0,0.000000," ","integrate(1/x**9/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{x^{9} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**9*(-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
652,0,0,0,0.000000," ","integrate(x**10/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{10}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**10/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
653,0,0,0,0.000000," ","integrate(x**7/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{7}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**7/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
654,0,0,0,0.000000," ","integrate(x**4/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x^{4}}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**4/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
655,0,0,0,0.000000," ","integrate(x/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{x}{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x/((-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
656,0,0,0,0.000000," ","integrate(1/x**2/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{x^{2} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**2*(-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
657,0,0,0,0.000000," ","integrate(1/x**5/(-x**3+1)**(4/3)/(x**3+1),x)","\int \frac{1}{x^{5} \left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{4}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**5*(-(x - 1)*(x**2 + x + 1))**(4/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
658,0,0,0,0.000000," ","integrate(x**11*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{11} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**11*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
659,0,0,0,0.000000," ","integrate(x**8*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{8} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**8*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
660,0,0,0,0.000000," ","integrate(x**5*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{5} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**5*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
661,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{2} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**2*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
662,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x*(c + d*x**3)), x)","F",0
663,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**4/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{4} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**4*(c + d*x**3)), x)","F",0
664,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**7/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{7} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**7*(c + d*x**3)), x)","F",0
665,0,0,0,0.000000," ","integrate(x**7*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{7} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**7*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
666,0,0,0,0.000000," ","integrate(x**4*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{4} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**4*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
667,0,0,0,0.000000," ","integrate(x*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
668,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**2/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{2} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**2*(c + d*x**3)), x)","F",0
669,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**5/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{5} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**5*(c + d*x**3)), x)","F",0
670,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**8/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{8} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**8*(c + d*x**3)), x)","F",0
671,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**11/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{11} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**11*(c + d*x**3)), x)","F",0
672,0,0,0,0.000000," ","integrate(x**6*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{6} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**6*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
673,0,0,0,0.000000," ","integrate(x**3*(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{3} \sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**3*(a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
674,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{c + d x^{3}}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(c + d*x**3), x)","F",0
675,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**3/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{3} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**3*(c + d*x**3)), x)","F",0
676,0,0,0,0.000000," ","integrate((b*x**3+a)**(1/3)/x**6/(d*x**3+c),x)","\int \frac{\sqrt[3]{a + b x^{3}}}{x^{6} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(1/3)/(x**6*(c + d*x**3)), x)","F",0
677,0,0,0,0.000000," ","integrate(x**11*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{11} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**11*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
678,0,0,0,0.000000," ","integrate(x**8*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{8} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**8*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
679,0,0,0,0.000000," ","integrate(x**5*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{5} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**5*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
680,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{2} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**2*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
681,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x*(c + d*x**3)), x)","F",0
682,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**4/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x^{4} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x**4*(c + d*x**3)), x)","F",0
683,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**7/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x^{7} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x**7*(c + d*x**3)), x)","F",0
684,0,0,0,0.000000," ","integrate(x**6*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{6} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**6*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
685,0,0,0,0.000000," ","integrate(x**3*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{3} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**3*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
686,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
687,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**3/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x^{3} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x**3*(c + d*x**3)), x)","F",0
688,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**6/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x^{6} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x**6*(c + d*x**3)), x)","F",0
689,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**9/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x^{9} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x**9*(c + d*x**3)), x)","F",0
690,-1,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**12/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
691,0,0,0,0.000000," ","integrate(x**7*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{7} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**7*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
692,0,0,0,0.000000," ","integrate(x**4*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{4} \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**4*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
693,0,0,0,0.000000," ","integrate(x*(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x \left(a + b x^{3}\right)^{\frac{2}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x*(a + b*x**3)**(2/3)/(c + d*x**3), x)","F",0
694,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**2/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x^{2} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x**2*(c + d*x**3)), x)","F",0
695,0,0,0,0.000000," ","integrate((b*x**3+a)**(2/3)/x**5/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{2}{3}}}{x^{5} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(2/3)/(x**5*(c + d*x**3)), x)","F",0
696,-1,0,0,0.000000," ","integrate(x**8*(b*x**3+a)**(4/3)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
697,-1,0,0,0.000000," ","integrate(x**5*(b*x**3+a)**(4/3)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
698,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{2} \left(a + b x^{3}\right)^{\frac{4}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**2*(a + b*x**3)**(4/3)/(c + d*x**3), x)","F",0
699,0,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{4}{3}}}{x \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(4/3)/(x*(c + d*x**3)), x)","F",0
700,0,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**4/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{4}{3}}}{x^{4} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(4/3)/(x**4*(c + d*x**3)), x)","F",0
701,-1,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**7/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
702,0,0,0,0.000000," ","integrate(x**4*(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{4} \left(a + b x^{3}\right)^{\frac{4}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**4*(a + b*x**3)**(4/3)/(c + d*x**3), x)","F",0
703,0,0,0,0.000000," ","integrate(x*(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x \left(a + b x^{3}\right)^{\frac{4}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x*(a + b*x**3)**(4/3)/(c + d*x**3), x)","F",0
704,0,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**2/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{4}{3}}}{x^{2} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(4/3)/(x**2*(c + d*x**3)), x)","F",0
705,0,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**5/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{4}{3}}}{x^{5} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(4/3)/(x**5*(c + d*x**3)), x)","F",0
706,-1,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**8/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
707,-1,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**11/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
708,-1,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**14/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
709,0,0,0,0.000000," ","integrate(x**6*(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{6} \left(a + b x^{3}\right)^{\frac{4}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**6*(a + b*x**3)**(4/3)/(c + d*x**3), x)","F",0
710,0,0,0,0.000000," ","integrate(x**3*(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{3} \left(a + b x^{3}\right)^{\frac{4}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral(x**3*(a + b*x**3)**(4/3)/(c + d*x**3), x)","F",0
711,0,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{4}{3}}}{c + d x^{3}}\, dx"," ",0,"Integral((a + b*x**3)**(4/3)/(c + d*x**3), x)","F",0
712,0,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**3/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{4}{3}}}{x^{3} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(4/3)/(x**3*(c + d*x**3)), x)","F",0
713,0,0,0,0.000000," ","integrate((b*x**3+a)**(4/3)/x**6/(d*x**3+c),x)","\int \frac{\left(a + b x^{3}\right)^{\frac{4}{3}}}{x^{6} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral((a + b*x**3)**(4/3)/(x**6*(c + d*x**3)), x)","F",0
714,0,0,0,0.000000," ","integrate(x**14/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{14}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**14/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
715,0,0,0,0.000000," ","integrate(x**11/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{11}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**11/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
716,0,0,0,0.000000," ","integrate(x**8/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{8}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**8/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
717,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{5}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**5/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
718,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{2}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**2/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
719,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{x \sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
720,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{x^{4} \sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
721,0,0,0,0.000000," ","integrate(x**6/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{6}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**6/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
722,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{3}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**3/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
723,0,0,0,0.000000," ","integrate(1/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
724,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{x^{3} \sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
725,0,0,0,0.000000," ","integrate(1/x**6/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{x^{6} \sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**6*(a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
726,0,0,0,0.000000," ","integrate(1/x**9/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{x^{9} \sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**9*(a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
727,0,0,0,0.000000," ","integrate(x**7/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{7}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**7/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
728,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x^{4}}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**4/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
729,0,0,0,0.000000," ","integrate(x/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{x}{\sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x/((a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
730,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{x^{2} \sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
731,0,0,0,0.000000," ","integrate(1/x**5/(b*x**3+a)**(1/3)/(d*x**3+c),x)","\int \frac{1}{x^{5} \sqrt[3]{a + b x^{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**3)**(1/3)*(c + d*x**3)), x)","F",0
732,0,0,0,0.000000," ","integrate(x**11/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{11}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**11/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
733,0,0,0,0.000000," ","integrate(x**8/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{8}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**8/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
734,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{5}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**5/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
735,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{2}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**2/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
736,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{1}{x \left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
737,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{1}{x^{4} \left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
738,0,0,0,0.000000," ","integrate(x**7/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{7}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**7/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
739,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{4}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**4/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
740,0,0,0,0.000000," ","integrate(x/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
741,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{1}{x^{2} \left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
742,0,0,0,0.000000," ","integrate(1/x**5/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{1}{x^{5} \left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
743,0,0,0,0.000000," ","integrate(x**6/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{6}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**6/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
744,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{x^{3}}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**3/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
745,0,0,0,0.000000," ","integrate(1/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{1}{\left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/((a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
746,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)**(2/3)/(d*x**3+c),x)","\int \frac{1}{x^{3} \left(a + b x^{3}\right)^{\frac{2}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**3)**(2/3)*(c + d*x**3)), x)","F",0
747,0,0,0,0.000000," ","integrate(x**14/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{14}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**14/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
748,0,0,0,0.000000," ","integrate(x**11/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{11}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**11/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
749,0,0,0,0.000000," ","integrate(x**8/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{8}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**8/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
750,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{5}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**5/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
751,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{2}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**2/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
752,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{x \left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
753,0,0,0,0.000000," ","integrate(1/x**4/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{x^{4} \left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
754,0,0,0,0.000000," ","integrate(x**9/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{9}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**9/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
755,0,0,0,0.000000," ","integrate(x**6/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{6}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**6/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
756,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{3}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**3/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
757,0,0,0,0.000000," ","integrate(1/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
758,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{x^{3} \left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
759,0,0,0,0.000000," ","integrate(1/x**6/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{x^{6} \left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**6*(a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
760,0,0,0,0.000000," ","integrate(1/x**9/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{x^{9} \left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**9*(a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
761,0,0,0,0.000000," ","integrate(x**10/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{10}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**10/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
762,0,0,0,0.000000," ","integrate(x**7/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{7}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**7/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
763,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x^{4}}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x**4/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
764,0,0,0,0.000000," ","integrate(x/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{x}{\left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(x/((a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
765,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{x^{2} \left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
766,0,0,0,0.000000," ","integrate(1/x**5/(b*x**3+a)**(4/3)/(d*x**3+c),x)","\int \frac{1}{x^{5} \left(a + b x^{3}\right)^{\frac{4}{3}} \left(c + d x^{3}\right)}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**3)**(4/3)*(c + d*x**3)), x)","F",0
767,-1,0,0,0.000000," ","integrate(x**15/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
768,-1,0,0,0.000000," ","integrate(x**11/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
769,1,144,0,60.852697," ","integrate(x**7/(b*x**4+a)/(d*x**4+c),x)","\frac{a \log{\left(x^{4} + \frac{\frac{a^{3} d^{2}}{b \left(a d - b c\right)} - \frac{2 a^{2} c d}{a d - b c} + \frac{a b c^{2}}{a d - b c} + 2 a c}{a d + b c} \right)}}{4 b \left(a d - b c\right)} - \frac{c \log{\left(x^{4} + \frac{- \frac{a^{2} c d}{a d - b c} + \frac{2 a b c^{2}}{a d - b c} + 2 a c - \frac{b^{2} c^{3}}{d \left(a d - b c\right)}}{a d + b c} \right)}}{4 d \left(a d - b c\right)}"," ",0,"a*log(x**4 + (a**3*d**2/(b*(a*d - b*c)) - 2*a**2*c*d/(a*d - b*c) + a*b*c**2/(a*d - b*c) + 2*a*c)/(a*d + b*c))/(4*b*(a*d - b*c)) - c*log(x**4 + (-a**2*c*d/(a*d - b*c) + 2*a*b*c**2/(a*d - b*c) + 2*a*c - b**2*c**3/(d*(a*d - b*c)))/(a*d + b*c))/(4*d*(a*d - b*c))","B",0
770,1,138,0,1.913682," ","integrate(x**3/(b*x**4+a)/(d*x**4+c),x)","\frac{\log{\left(x^{4} + \frac{- \frac{a^{2} d^{2}}{a d - b c} + \frac{2 a b c d}{a d - b c} + a d - \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{4 \left(a d - b c\right)} - \frac{\log{\left(x^{4} + \frac{\frac{a^{2} d^{2}}{a d - b c} - \frac{2 a b c d}{a d - b c} + a d + \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{4 \left(a d - b c\right)}"," ",0,"log(x**4 + (-a**2*d**2/(a*d - b*c) + 2*a*b*c*d/(a*d - b*c) + a*d - b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(4*(a*d - b*c)) - log(x**4 + (a**2*d**2/(a*d - b*c) - 2*a*b*c*d/(a*d - b*c) + a*d + b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(4*(a*d - b*c))","B",0
771,-1,0,0,0.000000," ","integrate(1/x/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
772,-1,0,0,0.000000," ","integrate(1/x**5/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
773,-1,0,0,0.000000," ","integrate(x**13/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
774,1,932,0,29.695407," ","integrate(x**9/(b*x**4+a)/(d*x**4+c),x)","- \frac{\sqrt{- \frac{a^{3}}{b^{3}}} \log{\left(x^{2} + \frac{- \frac{a^{4} d^{4} \sqrt{- \frac{a^{3}}{b^{3}}}}{a d - b c} - \frac{a^{3} b^{3} d^{6} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a^{2} b^{4} c d^{5} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a b^{5} c^{2} d^{4} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{b^{6} c^{3} d^{3} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{b^{4} c^{4} \sqrt{- \frac{a^{3}}{b^{3}}}}{a d - b c}}{a^{3} c d^{2} + a^{2} b c^{2} d + a b^{2} c^{3}} \right)}}{4 \left(a d - b c\right)} + \frac{\sqrt{- \frac{a^{3}}{b^{3}}} \log{\left(x^{2} + \frac{\frac{a^{4} d^{4} \sqrt{- \frac{a^{3}}{b^{3}}}}{a d - b c} + \frac{a^{3} b^{3} d^{6} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a^{2} b^{4} c d^{5} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a b^{5} c^{2} d^{4} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{b^{6} c^{3} d^{3} \left(- \frac{a^{3}}{b^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{b^{4} c^{4} \sqrt{- \frac{a^{3}}{b^{3}}}}{a d - b c}}{a^{3} c d^{2} + a^{2} b c^{2} d + a b^{2} c^{3}} \right)}}{4 \left(a d - b c\right)} - \frac{\sqrt{- \frac{c^{3}}{d^{3}}} \log{\left(x^{2} + \frac{- \frac{a^{4} d^{4} \sqrt{- \frac{c^{3}}{d^{3}}}}{a d - b c} - \frac{a^{3} b^{3} d^{6} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a^{2} b^{4} c d^{5} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a b^{5} c^{2} d^{4} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{b^{6} c^{3} d^{3} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{b^{4} c^{4} \sqrt{- \frac{c^{3}}{d^{3}}}}{a d - b c}}{a^{3} c d^{2} + a^{2} b c^{2} d + a b^{2} c^{3}} \right)}}{4 \left(a d - b c\right)} + \frac{\sqrt{- \frac{c^{3}}{d^{3}}} \log{\left(x^{2} + \frac{\frac{a^{4} d^{4} \sqrt{- \frac{c^{3}}{d^{3}}}}{a d - b c} + \frac{a^{3} b^{3} d^{6} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a^{2} b^{4} c d^{5} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a b^{5} c^{2} d^{4} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{b^{6} c^{3} d^{3} \left(- \frac{c^{3}}{d^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{b^{4} c^{4} \sqrt{- \frac{c^{3}}{d^{3}}}}{a d - b c}}{a^{3} c d^{2} + a^{2} b c^{2} d + a b^{2} c^{3}} \right)}}{4 \left(a d - b c\right)} + \frac{x^{2}}{2 b d}"," ",0,"-sqrt(-a**3/b**3)*log(x**2 + (-a**4*d**4*sqrt(-a**3/b**3)/(a*d - b*c) - a**3*b**3*d**6*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 + a**2*b**4*c*d**5*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 + a*b**5*c**2*d**4*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 - b**6*c**3*d**3*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 - b**4*c**4*sqrt(-a**3/b**3)/(a*d - b*c))/(a**3*c*d**2 + a**2*b*c**2*d + a*b**2*c**3))/(4*(a*d - b*c)) + sqrt(-a**3/b**3)*log(x**2 + (a**4*d**4*sqrt(-a**3/b**3)/(a*d - b*c) + a**3*b**3*d**6*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 - a**2*b**4*c*d**5*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 - a*b**5*c**2*d**4*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 + b**6*c**3*d**3*(-a**3/b**3)**(3/2)/(a*d - b*c)**3 + b**4*c**4*sqrt(-a**3/b**3)/(a*d - b*c))/(a**3*c*d**2 + a**2*b*c**2*d + a*b**2*c**3))/(4*(a*d - b*c)) - sqrt(-c**3/d**3)*log(x**2 + (-a**4*d**4*sqrt(-c**3/d**3)/(a*d - b*c) - a**3*b**3*d**6*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 + a**2*b**4*c*d**5*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 + a*b**5*c**2*d**4*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 - b**6*c**3*d**3*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 - b**4*c**4*sqrt(-c**3/d**3)/(a*d - b*c))/(a**3*c*d**2 + a**2*b*c**2*d + a*b**2*c**3))/(4*(a*d - b*c)) + sqrt(-c**3/d**3)*log(x**2 + (a**4*d**4*sqrt(-c**3/d**3)/(a*d - b*c) + a**3*b**3*d**6*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 - a**2*b**4*c*d**5*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 - a*b**5*c**2*d**4*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 + b**6*c**3*d**3*(-c**3/d**3)**(3/2)/(a*d - b*c)**3 + b**4*c**4*sqrt(-c**3/d**3)/(a*d - b*c))/(a**3*c*d**2 + a**2*b*c**2*d + a*b**2*c**3))/(4*(a*d - b*c)) + x**2/(2*b*d)","B",0
775,-1,0,0,0.000000," ","integrate(x**5/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
776,-1,0,0,0.000000," ","integrate(x/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
777,1,1103,0,84.888945," ","integrate(1/x**3/(b*x**4+a)/(d*x**4+c),x)","- \frac{\sqrt{- \frac{b^{3}}{a^{3}}} \log{\left(x^{2} + \frac{- \frac{a^{7} c^{3} d^{4} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{2 a^{6} b c^{4} d^{3} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{2 a^{5} b^{2} c^{5} d^{2} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a^{5} d^{5} \sqrt{- \frac{b^{3}}{a^{3}}}}{a d - b c} + \frac{2 a^{4} b^{3} c^{6} d \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a^{3} b^{4} c^{7} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{b^{5} c^{5} \sqrt{- \frac{b^{3}}{a^{3}}}}{a d - b c}}{a^{2} b^{2} d^{4} + a b^{3} c d^{3} + b^{4} c^{2} d^{2}} \right)}}{4 \left(a d - b c\right)} + \frac{\sqrt{- \frac{b^{3}}{a^{3}}} \log{\left(x^{2} + \frac{\frac{a^{7} c^{3} d^{4} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{2 a^{6} b c^{4} d^{3} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{2 a^{5} b^{2} c^{5} d^{2} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a^{5} d^{5} \sqrt{- \frac{b^{3}}{a^{3}}}}{a d - b c} - \frac{2 a^{4} b^{3} c^{6} d \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a^{3} b^{4} c^{7} \left(- \frac{b^{3}}{a^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{b^{5} c^{5} \sqrt{- \frac{b^{3}}{a^{3}}}}{a d - b c}}{a^{2} b^{2} d^{4} + a b^{3} c d^{3} + b^{4} c^{2} d^{2}} \right)}}{4 \left(a d - b c\right)} - \frac{\sqrt{- \frac{d^{3}}{c^{3}}} \log{\left(x^{2} + \frac{- \frac{a^{7} c^{3} d^{4} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{2 a^{6} b c^{4} d^{3} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{2 a^{5} b^{2} c^{5} d^{2} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a^{5} d^{5} \sqrt{- \frac{d^{3}}{c^{3}}}}{a d - b c} + \frac{2 a^{4} b^{3} c^{6} d \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{a^{3} b^{4} c^{7} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{b^{5} c^{5} \sqrt{- \frac{d^{3}}{c^{3}}}}{a d - b c}}{a^{2} b^{2} d^{4} + a b^{3} c d^{3} + b^{4} c^{2} d^{2}} \right)}}{4 \left(a d - b c\right)} + \frac{\sqrt{- \frac{d^{3}}{c^{3}}} \log{\left(x^{2} + \frac{\frac{a^{7} c^{3} d^{4} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} - \frac{2 a^{6} b c^{4} d^{3} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{2 a^{5} b^{2} c^{5} d^{2} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a^{5} d^{5} \sqrt{- \frac{d^{3}}{c^{3}}}}{a d - b c} - \frac{2 a^{4} b^{3} c^{6} d \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{a^{3} b^{4} c^{7} \left(- \frac{d^{3}}{c^{3}}\right)^{\frac{3}{2}}}{\left(a d - b c\right)^{3}} + \frac{b^{5} c^{5} \sqrt{- \frac{d^{3}}{c^{3}}}}{a d - b c}}{a^{2} b^{2} d^{4} + a b^{3} c d^{3} + b^{4} c^{2} d^{2}} \right)}}{4 \left(a d - b c\right)} - \frac{1}{2 a c x^{2}}"," ",0,"-sqrt(-b**3/a**3)*log(x**2 + (-a**7*c**3*d**4*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 + 2*a**6*b*c**4*d**3*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 - 2*a**5*b**2*c**5*d**2*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 - a**5*d**5*sqrt(-b**3/a**3)/(a*d - b*c) + 2*a**4*b**3*c**6*d*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 - a**3*b**4*c**7*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 - b**5*c**5*sqrt(-b**3/a**3)/(a*d - b*c))/(a**2*b**2*d**4 + a*b**3*c*d**3 + b**4*c**2*d**2))/(4*(a*d - b*c)) + sqrt(-b**3/a**3)*log(x**2 + (a**7*c**3*d**4*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 - 2*a**6*b*c**4*d**3*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 + 2*a**5*b**2*c**5*d**2*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 + a**5*d**5*sqrt(-b**3/a**3)/(a*d - b*c) - 2*a**4*b**3*c**6*d*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 + a**3*b**4*c**7*(-b**3/a**3)**(3/2)/(a*d - b*c)**3 + b**5*c**5*sqrt(-b**3/a**3)/(a*d - b*c))/(a**2*b**2*d**4 + a*b**3*c*d**3 + b**4*c**2*d**2))/(4*(a*d - b*c)) - sqrt(-d**3/c**3)*log(x**2 + (-a**7*c**3*d**4*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 + 2*a**6*b*c**4*d**3*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 - 2*a**5*b**2*c**5*d**2*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 - a**5*d**5*sqrt(-d**3/c**3)/(a*d - b*c) + 2*a**4*b**3*c**6*d*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 - a**3*b**4*c**7*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 - b**5*c**5*sqrt(-d**3/c**3)/(a*d - b*c))/(a**2*b**2*d**4 + a*b**3*c*d**3 + b**4*c**2*d**2))/(4*(a*d - b*c)) + sqrt(-d**3/c**3)*log(x**2 + (a**7*c**3*d**4*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 - 2*a**6*b*c**4*d**3*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 + 2*a**5*b**2*c**5*d**2*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 + a**5*d**5*sqrt(-d**3/c**3)/(a*d - b*c) - 2*a**4*b**3*c**6*d*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 + a**3*b**4*c**7*(-d**3/c**3)**(3/2)/(a*d - b*c)**3 + b**5*c**5*sqrt(-d**3/c**3)/(a*d - b*c))/(a**2*b**2*d**4 + a*b**3*c*d**3 + b**4*c**2*d**2))/(4*(a*d - b*c)) - 1/(2*a*c*x**2)","B",0
778,-1,0,0,0.000000," ","integrate(1/x**7/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
779,-1,0,0,0.000000," ","integrate(x**8/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
780,-1,0,0,0.000000," ","integrate(x**6/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
781,-1,0,0,0.000000," ","integrate(x**4/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
782,-1,0,0,0.000000," ","integrate(x**2/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
783,-1,0,0,0.000000," ","integrate(1/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
784,-1,0,0,0.000000," ","integrate(1/x**2/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
785,-1,0,0,0.000000," ","integrate(1/x**4/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
786,-1,0,0,0.000000," ","integrate(1/x**6/(b*x**4+a)/(d*x**4+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
787,1,90,0,17.444048," ","integrate(x**7*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\frac{2 \left(- \frac{a d^{2} \sqrt{c + d x^{4}}}{4 b^{2}} + \frac{a d^{2} \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x^{4}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{4 b^{3} \sqrt{\frac{a d - b c}{b}}} + \frac{d \left(c + d x^{4}\right)^{\frac{3}{2}}}{12 b}\right)}{d^{2}}"," ",0,"2*(-a*d**2*sqrt(c + d*x**4)/(4*b**2) + a*d**2*(a*d - b*c)*atan(sqrt(c + d*x**4)/sqrt((a*d - b*c)/b))/(4*b**3*sqrt((a*d - b*c)/b)) + d*(c + d*x**4)**(3/2)/(12*b))/d**2","A",0
788,0,0,0,0.000000," ","integrate(x**5*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{x^{5} \sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral(x**5*sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
789,1,65,0,8.184605," ","integrate(x**3*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\frac{2 \left(\frac{d \sqrt{c + d x^{4}}}{4 b} - \frac{d \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x^{4}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{4 b^{2} \sqrt{\frac{a d - b c}{b}}}\right)}{d}"," ",0,"2*(d*sqrt(c + d*x**4)/(4*b) - d*(a*d - b*c)*atan(sqrt(c + d*x**4)/sqrt((a*d - b*c)/b))/(4*b**2*sqrt((a*d - b*c)/b)))/d","A",0
790,0,0,0,0.000000," ","integrate(x*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{x \sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral(x*sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
791,1,82,0,12.052499," ","integrate((d*x**4+c)**(1/2)/x/(b*x**4+a),x)","\frac{2 \left(\frac{c d \operatorname{atan}{\left(\frac{\sqrt{c + d x^{4}}}{\sqrt{- c}} \right)}}{4 a \sqrt{- c}} + \frac{d \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x^{4}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{4 a b \sqrt{\frac{a d - b c}{b}}}\right)}{d}"," ",0,"2*(c*d*atan(sqrt(c + d*x**4)/sqrt(-c))/(4*a*sqrt(-c)) + d*(a*d - b*c)*atan(sqrt(c + d*x**4)/sqrt((a*d - b*c)/b))/(4*a*b*sqrt((a*d - b*c)/b)))/d","A",0
792,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/x**3/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{x^{3} \left(a + b x^{4}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/(x**3*(a + b*x**4)), x)","F",0
793,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/x**5/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{x^{5} \left(a + b x^{4}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/(x**5*(a + b*x**4)), x)","F",0
794,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/x**7/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{x^{7} \left(a + b x^{4}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/(x**7*(a + b*x**4)), x)","F",0
795,0,0,0,0.000000," ","integrate(x**6*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{x^{6} \sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral(x**6*sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
796,0,0,0,0.000000," ","integrate(x**4*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{x^{4} \sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral(x**4*sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
797,0,0,0,0.000000," ","integrate(x**2*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{x^{2} \sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral(x**2*sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
798,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
799,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/x**2/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{x^{2} \left(a + b x^{4}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/(x**2*(a + b*x**4)), x)","F",0
800,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/x**4/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{x^{4} \left(a + b x^{4}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/(x**4*(a + b*x**4)), x)","F",0
801,0,0,0,0.000000," ","integrate((e*x)**(3/2)*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{\left(e x\right)^{\frac{3}{2}} \sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral((e*x)**(3/2)*sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
802,0,0,0,0.000000," ","integrate((e*x)**(1/2)*(d*x**4+c)**(1/2)/(b*x**4+a),x)","\int \frac{\sqrt{e x} \sqrt{c + d x^{4}}}{a + b x^{4}}\, dx"," ",0,"Integral(sqrt(e*x)*sqrt(c + d*x**4)/(a + b*x**4), x)","F",0
803,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/(e*x)**(1/2)/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{\sqrt{e x} \left(a + b x^{4}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/(sqrt(e*x)*(a + b*x**4)), x)","F",0
804,0,0,0,0.000000," ","integrate((d*x**4+c)**(1/2)/(e*x)**(3/2)/(b*x**4+a),x)","\int \frac{\sqrt{c + d x^{4}}}{\left(e x\right)^{\frac{3}{2}} \left(a + b x^{4}\right)}\, dx"," ",0,"Integral(sqrt(c + d*x**4)/((e*x)**(3/2)*(a + b*x**4)), x)","F",0
805,0,0,0,0.000000," ","integrate(x**11/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{11}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**11/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
806,0,0,0,0.000000," ","integrate(x**7/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{7}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**7/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
807,1,37,0,14.270342," ","integrate(x**3/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{4}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{2 b \sqrt{\frac{a d - b c}{b}}}"," ",0,"atan(sqrt(c + d*x**4)/sqrt((a*d - b*c)/b))/(2*b*sqrt((a*d - b*c)/b))","A",0
808,1,66,0,20.207436," ","integrate(1/x/(b*x**4+a)/(d*x**4+c)**(1/2),x)","- \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{4}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{2 a \sqrt{\frac{a d - b c}{b}}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{4}}}{\sqrt{- c}} \right)}}{2 a \sqrt{- c}}"," ",0,"-atan(sqrt(c + d*x**4)/sqrt((a*d - b*c)/b))/(2*a*sqrt((a*d - b*c)/b)) + atan(sqrt(c + d*x**4)/sqrt(-c))/(2*a*sqrt(-c))","A",0
809,0,0,0,0.000000," ","integrate(1/x**5/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{5} \left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
810,0,0,0,0.000000," ","integrate(x**9/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{9}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**9/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
811,0,0,0,0.000000," ","integrate(x**5/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{5}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**5/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
812,0,0,0,0.000000," ","integrate(x/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
813,0,0,0,0.000000," ","integrate(1/x**3/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{3} \left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
814,0,0,0,0.000000," ","integrate(1/x**7/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{7} \left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**7*(a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
815,0,0,0,0.000000," ","integrate(x**8/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{8}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**8/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
816,0,0,0,0.000000," ","integrate(x**4/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{4}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**4/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
817,0,0,0,0.000000," ","integrate(1/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
818,0,0,0,0.000000," ","integrate(1/x**4/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{4} \left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
819,0,0,0,0.000000," ","integrate(x**6/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{6}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**6/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
820,0,0,0,0.000000," ","integrate(x**2/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{x^{2}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**2/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
821,0,0,0,0.000000," ","integrate(1/x**2/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
822,-1,0,0,0.000000," ","integrate(x**15/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
823,-1,0,0,0.000000," ","integrate(x**11/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
824,-1,0,0,0.000000," ","integrate(x**7/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
825,-1,0,0,0.000000," ","integrate(x**3/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
826,0,0,0,0.000000," ","integrate(1/x/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{1}{x \left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x*(a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
827,0,0,0,0.000000," ","integrate(1/x**5/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{5} \left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
828,0,0,0,0.000000," ","integrate(x**13/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x^{13}}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**13/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
829,0,0,0,0.000000," ","integrate(x**9/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x^{9}}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**9/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
830,0,0,0,0.000000," ","integrate(x**5/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x^{5}}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**5/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
831,0,0,0,0.000000," ","integrate(x/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
832,0,0,0,0.000000," ","integrate(1/x**3/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{3} \left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
833,0,0,0,0.000000," ","integrate(1/x**7/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{7} \left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**7*(a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
834,0,0,0,0.000000," ","integrate(x**8/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x^{8}}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**8/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
835,0,0,0,0.000000," ","integrate(x**4/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x^{4}}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**4/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
836,0,0,0,0.000000," ","integrate(1/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
837,0,0,0,0.000000," ","integrate(1/x**4/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{4} \left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
838,0,0,0,0.000000," ","integrate(x**6/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x^{6}}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**6/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
839,0,0,0,0.000000," ","integrate(x**2/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{x^{2}}{\left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(x**2/((a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
840,0,0,0,0.000000," ","integrate(1/x**2/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{4}\right)^{2} \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**4)**2*sqrt(c + d*x**4)), x)","F",0
841,1,185,0,14.271886," ","integrate((e*x)**m*(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\frac{a^{2} e^{m} x x^{m} \Gamma\left(\frac{m}{4} + \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{4} + \frac{1}{4} \\ \frac{m}{4} + \frac{5}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 \sqrt{c} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right)} + \frac{a b e^{m} x^{5} x^{m} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{4} + \frac{5}{4} \\ \frac{m}{4} + \frac{9}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{2 \sqrt{c} \Gamma\left(\frac{m}{4} + \frac{9}{4}\right)} + \frac{b^{2} e^{m} x^{9} x^{m} \Gamma\left(\frac{m}{4} + \frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{4} + \frac{9}{4} \\ \frac{m}{4} + \frac{13}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 \sqrt{c} \Gamma\left(\frac{m}{4} + \frac{13}{4}\right)}"," ",0,"a**2*e**m*x*x**m*gamma(m/4 + 1/4)*hyper((1/2, m/4 + 1/4), (m/4 + 5/4,), d*x**4*exp_polar(I*pi)/c)/(4*sqrt(c)*gamma(m/4 + 5/4)) + a*b*e**m*x**5*x**m*gamma(m/4 + 5/4)*hyper((1/2, m/4 + 5/4), (m/4 + 9/4,), d*x**4*exp_polar(I*pi)/c)/(2*sqrt(c)*gamma(m/4 + 9/4)) + b**2*e**m*x**9*x**m*gamma(m/4 + 9/4)*hyper((1/2, m/4 + 9/4), (m/4 + 13/4,), d*x**4*exp_polar(I*pi)/c)/(4*sqrt(c)*gamma(m/4 + 13/4))","C",0
842,1,119,0,4.922094," ","integrate((e*x)**m*(b*x**4+a)/(d*x**4+c)**(1/2),x)","\frac{a e^{m} x x^{m} \Gamma\left(\frac{m}{4} + \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{4} + \frac{1}{4} \\ \frac{m}{4} + \frac{5}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 \sqrt{c} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right)} + \frac{b e^{m} x^{5} x^{m} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{4} + \frac{5}{4} \\ \frac{m}{4} + \frac{9}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 \sqrt{c} \Gamma\left(\frac{m}{4} + \frac{9}{4}\right)}"," ",0,"a*e**m*x*x**m*gamma(m/4 + 1/4)*hyper((1/2, m/4 + 1/4), (m/4 + 5/4,), d*x**4*exp_polar(I*pi)/c)/(4*sqrt(c)*gamma(m/4 + 5/4)) + b*e**m*x**5*x**m*gamma(m/4 + 5/4)*hyper((1/2, m/4 + 5/4), (m/4 + 9/4,), d*x**4*exp_polar(I*pi)/c)/(4*sqrt(c)*gamma(m/4 + 9/4))","C",0
843,1,56,0,1.071516," ","integrate((e*x)**m/(d*x**4+c)**(1/2),x)","\frac{e^{m} x x^{m} \Gamma\left(\frac{m}{4} + \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{m}{4} + \frac{1}{4} \\ \frac{m}{4} + \frac{5}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 \sqrt{c} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right)}"," ",0,"e**m*x*x**m*gamma(m/4 + 1/4)*hyper((1/2, m/4 + 1/4), (m/4 + 5/4,), d*x**4*exp_polar(I*pi)/c)/(4*sqrt(c)*gamma(m/4 + 5/4))","C",0
844,0,0,0,0.000000," ","integrate((e*x)**m/(b*x**4+a)/(d*x**4+c)**(1/2),x)","\int \frac{\left(e x\right)^{m}}{\left(a + b x^{4}\right) \sqrt{c + d x^{4}}}\, dx"," ",0,"Integral((e*x)**m/((a + b*x**4)*sqrt(c + d*x**4)), x)","F",0
845,-1,0,0,0.000000," ","integrate((e*x)**m/(b*x**4+a)**2/(d*x**4+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
846,-1,0,0,0.000000," ","integrate((e*x)**m/(b*x**4+a)**3/(d*x**4+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
847,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**4+a)**2/(d*x**4+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
848,1,119,0,61.437209," ","integrate((e*x)**m*(b*x**4+a)/(d*x**4+c)**(3/2),x)","\frac{a e^{m} x x^{m} \Gamma\left(\frac{m}{4} + \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{m}{4} + \frac{1}{4} \\ \frac{m}{4} + \frac{5}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 c^{\frac{3}{2}} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right)} + \frac{b e^{m} x^{5} x^{m} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{m}{4} + \frac{5}{4} \\ \frac{m}{4} + \frac{9}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 c^{\frac{3}{2}} \Gamma\left(\frac{m}{4} + \frac{9}{4}\right)}"," ",0,"a*e**m*x*x**m*gamma(m/4 + 1/4)*hyper((3/2, m/4 + 1/4), (m/4 + 5/4,), d*x**4*exp_polar(I*pi)/c)/(4*c**(3/2)*gamma(m/4 + 5/4)) + b*e**m*x**5*x**m*gamma(m/4 + 5/4)*hyper((3/2, m/4 + 5/4), (m/4 + 9/4,), d*x**4*exp_polar(I*pi)/c)/(4*c**(3/2)*gamma(m/4 + 9/4))","C",0
849,1,56,0,1.492462," ","integrate((e*x)**m/(d*x**4+c)**(3/2),x)","\frac{e^{m} x x^{m} \Gamma\left(\frac{m}{4} + \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{m}{4} + \frac{1}{4} \\ \frac{m}{4} + \frac{5}{4} \end{matrix}\middle| {\frac{d x^{4} e^{i \pi}}{c}} \right)}}{4 c^{\frac{3}{2}} \Gamma\left(\frac{m}{4} + \frac{5}{4}\right)}"," ",0,"e**m*x*x**m*gamma(m/4 + 1/4)*hyper((3/2, m/4 + 1/4), (m/4 + 5/4,), d*x**4*exp_polar(I*pi)/c)/(4*c**(3/2)*gamma(m/4 + 5/4))","C",0
850,0,0,0,0.000000," ","integrate((e*x)**m/(b*x**4+a)/(d*x**4+c)**(3/2),x)","\int \frac{\left(e x\right)^{m}}{\left(a + b x^{4}\right) \left(c + d x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e*x)**m/((a + b*x**4)*(c + d*x**4)**(3/2)), x)","F",0
851,-1,0,0,0.000000," ","integrate((e*x)**m/(b*x**4+a)**2/(d*x**4+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
852,-1,0,0,0.000000," ","integrate((e*x)**m/(b*x**4+a)**3/(d*x**4+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
853,0,0,0,0.000000," ","integrate(x**17/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x^{17}}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**17/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
854,0,0,0,0.000000," ","integrate(x**11/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x^{11}}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**11/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
855,1,37,0,23.761535," ","integrate(x**5/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{6}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 b \sqrt{\frac{a d - b c}{b}}}"," ",0,"atan(sqrt(c + d*x**6)/sqrt((a*d - b*c)/b))/(3*b*sqrt((a*d - b*c)/b))","A",0
856,1,66,0,26.109638," ","integrate(1/x/(b*x**6+a)/(d*x**6+c)**(1/2),x)","- \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{6}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{3 a \sqrt{\frac{a d - b c}{b}}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{6}}}{\sqrt{- c}} \right)}}{3 a \sqrt{- c}}"," ",0,"-atan(sqrt(c + d*x**6)/sqrt((a*d - b*c)/b))/(3*a*sqrt((a*d - b*c)/b)) + atan(sqrt(c + d*x**6)/sqrt(-c))/(3*a*sqrt(-c))","A",0
857,0,0,0,0.000000," ","integrate(1/x**7/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{7} \left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**7*(a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
858,0,0,0,0.000000," ","integrate(x**14/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x^{14}}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**14/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
859,0,0,0,0.000000," ","integrate(x**8/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x^{8}}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**8/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
860,0,0,0,0.000000," ","integrate(x**2/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x^{2}}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**2/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
861,0,0,0,0.000000," ","integrate(1/x**4/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{4} \left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
862,0,0,0,0.000000," ","integrate(1/x**10/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{10} \left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**10*(a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
863,0,0,0,0.000000," ","integrate(x**4/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x^{4}}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**4/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
864,0,0,0,0.000000," ","integrate(x**3/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x^{3}}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**3/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
865,0,0,0,0.000000," ","integrate(x/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
866,0,0,0,0.000000," ","integrate(1/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/((a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
867,0,0,0,0.000000," ","integrate(1/x**2/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
868,0,0,0,0.000000," ","integrate(1/x**3/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{3} \left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
869,0,0,0,0.000000," ","integrate(1/x**5/(b*x**6+a)/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{5} \left(a + b x^{6}\right) \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**6)*sqrt(c + d*x**6)), x)","F",0
870,-1,0,0,0.000000," ","integrate(x**17/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
871,-1,0,0,0.000000," ","integrate(x**11/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
872,-1,0,0,0.000000," ","integrate(x**5/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
873,0,0,0,0.000000," ","integrate(1/x/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{1}{x \left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x*(a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
874,-1,0,0,0.000000," ","integrate(1/x**7/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
875,-1,0,0,0.000000," ","integrate(x**14/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
876,-1,0,0,0.000000," ","integrate(x**8/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
877,0,0,0,0.000000," ","integrate(x**2/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{x^{2}}{\left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**2/((a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
878,-1,0,0,0.000000," ","integrate(1/x**4/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
879,-1,0,0,0.000000," ","integrate(1/x**10/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
880,0,0,0,0.000000," ","integrate(x**4/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{x^{4}}{\left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**4/((a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
881,0,0,0,0.000000," ","integrate(x**3/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{x^{3}}{\left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x**3/((a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
882,0,0,0,0.000000," ","integrate(x/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(x/((a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
883,0,0,0,0.000000," ","integrate(1/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/((a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
884,0,0,0,0.000000," ","integrate(1/x**2/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
885,0,0,0,0.000000," ","integrate(1/x**3/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{3} \left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
886,0,0,0,0.000000," ","integrate(1/x**5/(b*x**6+a)**2/(d*x**6+c)**(1/2),x)","\int \frac{1}{x^{5} \left(a + b x^{6}\right)^{2} \sqrt{c + d x^{6}}}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**6)**2*sqrt(c + d*x**6)), x)","F",0
887,-1,0,0,0.000000," ","integrate(x**23/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
888,0,0,0,0.000000," ","integrate(x**15/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{15}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**15/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
889,1,37,0,44.567541," ","integrate(x**7/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{8}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{4 b \sqrt{\frac{a d - b c}{b}}}"," ",0,"atan(sqrt(c + d*x**8)/sqrt((a*d - b*c)/b))/(4*b*sqrt((a*d - b*c)/b))","A",0
890,1,66,0,37.857629," ","integrate(1/x/(b*x**8+a)/(d*x**8+c)**(1/2),x)","- \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{8}}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{4 a \sqrt{\frac{a d - b c}{b}}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{c + d x^{8}}}{\sqrt{- c}} \right)}}{4 a \sqrt{- c}}"," ",0,"-atan(sqrt(c + d*x**8)/sqrt((a*d - b*c)/b))/(4*a*sqrt((a*d - b*c)/b)) + atan(sqrt(c + d*x**8)/sqrt(-c))/(4*a*sqrt(-c))","A",0
891,0,0,0,0.000000," ","integrate(1/x**9/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{9} \left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**9*(a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
892,0,0,0,0.000000," ","integrate(x**19/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{19}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**19/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
893,0,0,0,0.000000," ","integrate(x**11/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{11}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**11/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
894,0,0,0,0.000000," ","integrate(x**3/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{3}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**3/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
895,0,0,0,0.000000," ","integrate(1/x**5/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{5} \left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**5*(a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
896,0,0,0,0.000000," ","integrate(1/x**13/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{13} \left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**13*(a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
897,0,0,0,0.000000," ","integrate(x**9/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{9}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**9/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
898,0,0,0,0.000000," ","integrate(x/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
899,0,0,0,0.000000," ","integrate(1/x**7/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{7} \left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**7*(a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
900,0,0,0,0.000000," ","integrate(x**13/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{13}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**13/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
901,0,0,0,0.000000," ","integrate(x**5/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{5}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**5/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
902,0,0,0,0.000000," ","integrate(1/x**3/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{3} \left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
903,0,0,0,0.000000," ","integrate(x**4/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{4}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**4/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
904,0,0,0,0.000000," ","integrate(x**2/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{x^{2}}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**2/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
905,0,0,0,0.000000," ","integrate(1/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/((a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
906,0,0,0,0.000000," ","integrate(1/x**2/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
907,0,0,0,0.000000," ","integrate(1/x**4/(b*x**8+a)/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{4} \left(a + b x^{8}\right) \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x**8)*sqrt(c + d*x**8)), x)","F",0
908,-1,0,0,0.000000," ","integrate(x**23/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
909,-1,0,0,0.000000," ","integrate(x**15/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
910,-1,0,0,0.000000," ","integrate(x**7/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
911,-1,0,0,0.000000," ","integrate(1/x/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
912,-1,0,0,0.000000," ","integrate(1/x**9/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
913,-1,0,0,0.000000," ","integrate(x**19/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
914,-1,0,0,0.000000," ","integrate(x**11/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
915,0,0,0,0.000000," ","integrate(x**3/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\int \frac{x^{3}}{\left(a + b x^{8}\right)^{2} \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**3/((a + b*x**8)**2*sqrt(c + d*x**8)), x)","F",0
916,-1,0,0,0.000000," ","integrate(1/x**5/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
917,-1,0,0,0.000000," ","integrate(1/x**13/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
918,-1,0,0,0.000000," ","integrate(x**9/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
919,0,0,0,0.000000," ","integrate(x/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\int \frac{x}{\left(a + b x^{8}\right)^{2} \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x/((a + b*x**8)**2*sqrt(c + d*x**8)), x)","F",0
920,-1,0,0,0.000000," ","integrate(1/x**7/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
921,-1,0,0,0.000000," ","integrate(x**13/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
922,0,0,0,0.000000," ","integrate(x**5/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\int \frac{x^{5}}{\left(a + b x^{8}\right)^{2} \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**5/((a + b*x**8)**2*sqrt(c + d*x**8)), x)","F",0
923,-1,0,0,0.000000," ","integrate(1/x**3/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
924,0,0,0,0.000000," ","integrate(x**4/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\int \frac{x^{4}}{\left(a + b x^{8}\right)^{2} \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**4/((a + b*x**8)**2*sqrt(c + d*x**8)), x)","F",0
925,0,0,0,0.000000," ","integrate(x**2/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\int \frac{x^{2}}{\left(a + b x^{8}\right)^{2} \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(x**2/((a + b*x**8)**2*sqrt(c + d*x**8)), x)","F",0
926,0,0,0,0.000000," ","integrate(1/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\int \frac{1}{\left(a + b x^{8}\right)^{2} \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/((a + b*x**8)**2*sqrt(c + d*x**8)), x)","F",0
927,0,0,0,0.000000," ","integrate(1/x**2/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\int \frac{1}{x^{2} \left(a + b x^{8}\right)^{2} \sqrt{c + d x^{8}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**8)**2*sqrt(c + d*x**8)), x)","F",0
928,-1,0,0,0.000000," ","integrate(1/x**4/(b*x**8+a)**2/(d*x**8+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
929,1,226,0,72.291364," ","integrate((a+b/x**2)*x**5*(c+d/x**2)**(1/2),x)","\frac{a c x^{7}}{6 \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{5 a \sqrt{d} x^{5}}{24 \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{a d^{\frac{3}{2}} x^{3}}{48 c \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{a d^{\frac{5}{2}} x}{16 c^{2} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{a d^{3} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{16 c^{\frac{5}{2}}} + \frac{b c x^{5}}{4 \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{3 b \sqrt{d} x^{3}}{8 \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{b d^{\frac{3}{2}} x}{8 c \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{b d^{2} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{8 c^{\frac{3}{2}}}"," ",0,"a*c*x**7/(6*sqrt(d)*sqrt(c*x**2/d + 1)) + 5*a*sqrt(d)*x**5/(24*sqrt(c*x**2/d + 1)) - a*d**(3/2)*x**3/(48*c*sqrt(c*x**2/d + 1)) - a*d**(5/2)*x/(16*c**2*sqrt(c*x**2/d + 1)) + a*d**3*asinh(sqrt(c)*x/sqrt(d))/(16*c**(5/2)) + b*c*x**5/(4*sqrt(d)*sqrt(c*x**2/d + 1)) + 3*b*sqrt(d)*x**3/(8*sqrt(c*x**2/d + 1)) + b*d**(3/2)*x/(8*c*sqrt(c*x**2/d + 1)) - b*d**2*asinh(sqrt(c)*x/sqrt(d))/(8*c**(3/2))","B",0
930,1,144,0,59.053873," ","integrate((a+b/x**2)*x**3*(c+d/x**2)**(1/2),x)","\frac{a c x^{5}}{4 \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{3 a \sqrt{d} x^{3}}{8 \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{a d^{\frac{3}{2}} x}{8 c \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{a d^{2} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{8 c^{\frac{3}{2}}} + \frac{b \sqrt{d} x \sqrt{\frac{c x^{2}}{d} + 1}}{2} + \frac{b d \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{2 \sqrt{c}}"," ",0,"a*c*x**5/(4*sqrt(d)*sqrt(c*x**2/d + 1)) + 3*a*sqrt(d)*x**3/(8*sqrt(c*x**2/d + 1)) + a*d**(3/2)*x/(8*c*sqrt(c*x**2/d + 1)) - a*d**2*asinh(sqrt(c)*x/sqrt(d))/(8*c**(3/2)) + b*sqrt(d)*x*sqrt(c*x**2/d + 1)/2 + b*d*asinh(sqrt(c)*x/sqrt(d))/(2*sqrt(c))","A",0
931,1,107,0,60.431723," ","integrate((a+b/x**2)*x*(c+d/x**2)**(1/2),x)","\frac{a \sqrt{d} x \sqrt{\frac{c x^{2}}{d} + 1}}{2} + \frac{a d \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{2 \sqrt{c}} + b \sqrt{c} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)} - \frac{b c x}{\sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{b \sqrt{d}}{x \sqrt{\frac{c x^{2}}{d} + 1}}"," ",0,"a*sqrt(d)*x*sqrt(c*x**2/d + 1)/2 + a*d*asinh(sqrt(c)*x/sqrt(d))/(2*sqrt(c)) + b*sqrt(c)*asinh(sqrt(c)*x/sqrt(d)) - b*c*x/(sqrt(d)*sqrt(c*x**2/d + 1)) - b*sqrt(d)/(x*sqrt(c*x**2/d + 1))","A",0
932,1,75,0,23.440796," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2)/x,x)","\frac{a \left(- \frac{2 c \operatorname{atan}{\left(\frac{\sqrt{c + \frac{d}{x^{2}}}}{\sqrt{- c}} \right)}}{\sqrt{- c}} - 2 \sqrt{c + \frac{d}{x^{2}}}\right)}{2} + \frac{b \left(\begin{cases} - \frac{\sqrt{c}}{x^{2}} & \text{for}\: d = 0 \\- \frac{2 \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3 d} & \text{otherwise} \end{cases}\right)}{2}"," ",0,"a*(-2*c*atan(sqrt(c + d/x**2)/sqrt(-c))/sqrt(-c) - 2*sqrt(c + d/x**2))/2 + b*Piecewise((-sqrt(c)/x**2, Eq(d, 0)), (-2*(c + d/x**2)**(3/2)/(3*d), True))/2","A",0
933,1,58,0,4.022161," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2)/x**3,x)","- \frac{a \left(\begin{cases} \frac{\sqrt{c}}{x^{2}} & \text{for}\: d = 0 \\\frac{2 \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3 d} & \text{otherwise} \end{cases}\right)}{2} - \frac{b \left(- \frac{c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d^{2}}"," ",0,"-a*Piecewise((sqrt(c)/x**2, Eq(d, 0)), (2*(c + d/x**2)**(3/2)/(3*d), True))/2 - b*(-c*(c + d/x**2)**(3/2)/3 + (c + d/x**2)**(5/2)/5)/d**2","A",0
934,1,78,0,4.564302," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2)/x**5,x)","- \frac{a \left(- \frac{c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d^{2}} - \frac{b \left(\frac{c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{2 c \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7}\right)}{d^{3}}"," ",0,"-a*(-c*(c + d/x**2)**(3/2)/3 + (c + d/x**2)**(5/2)/5)/d**2 - b*(c**2*(c + d/x**2)**(3/2)/3 - 2*c*(c + d/x**2)**(5/2)/5 + (c + d/x**2)**(7/2)/7)/d**3","A",0
935,1,112,0,5.209994," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2)/x**7,x)","- \frac{a \left(\frac{c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{2 c \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7}\right)}{d^{3}} - \frac{b \left(- \frac{c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{3 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} - \frac{3 c \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9}\right)}{d^{4}}"," ",0,"-a*(c**2*(c + d/x**2)**(3/2)/3 - 2*c*(c + d/x**2)**(5/2)/5 + (c + d/x**2)**(7/2)/7)/d**3 - b*(-c**3*(c + d/x**2)**(3/2)/3 + 3*c**2*(c + d/x**2)**(5/2)/5 - 3*c*(c + d/x**2)**(7/2)/7 + (c + d/x**2)**(9/2)/9)/d**4","A",0
936,1,146,0,5.863075," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2)/x**9,x)","- \frac{a \left(- \frac{c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{3 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} - \frac{3 c \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9}\right)}{d^{4}} - \frac{b \left(\frac{c^{4} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{4 c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{6 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} - \frac{4 c \left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{11}{2}}}{11}\right)}{d^{5}}"," ",0,"-a*(-c**3*(c + d/x**2)**(3/2)/3 + 3*c**2*(c + d/x**2)**(5/2)/5 - 3*c*(c + d/x**2)**(7/2)/7 + (c + d/x**2)**(9/2)/9)/d**4 - b*(c**4*(c + d/x**2)**(3/2)/3 - 4*c**3*(c + d/x**2)**(5/2)/5 + 6*c**2*(c + d/x**2)**(7/2)/7 - 4*c*(c + d/x**2)**(9/2)/9 + (c + d/x**2)**(11/2)/11)/d**5","A",0
937,1,1386,0,6.440543," ","integrate((a+b/x**2)*x**10*(c+d/x**2)**(1/2),x)","\frac{315 a c^{9} d^{\frac{33}{2}} x^{18} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1295 a c^{8} d^{\frac{35}{2}} x^{16} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1990 a c^{7} d^{\frac{37}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1358 a c^{6} d^{\frac{39}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{343 a c^{5} d^{\frac{41}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{35 a c^{4} d^{\frac{43}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{280 a c^{3} d^{\frac{45}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{560 a c^{2} d^{\frac{47}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{448 a c d^{\frac{49}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{128 a d^{\frac{51}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{35 b c^{7} d^{\frac{19}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{110 b c^{6} d^{\frac{21}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{114 b c^{5} d^{\frac{23}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{40 b c^{4} d^{\frac{25}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{5 b c^{3} d^{\frac{27}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{30 b c^{2} d^{\frac{29}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{40 b c d^{\frac{31}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{16 b d^{\frac{33}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}}"," ",0,"315*a*c**9*d**(33/2)*x**18*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1295*a*c**8*d**(35/2)*x**16*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1990*a*c**7*d**(37/2)*x**14*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1358*a*c**6*d**(39/2)*x**12*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 343*a*c**5*d**(41/2)*x**10*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 35*a*c**4*d**(43/2)*x**8*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 280*a*c**3*d**(45/2)*x**6*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 560*a*c**2*d**(47/2)*x**4*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 448*a*c*d**(49/2)*x**2*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 128*a*d**(51/2)*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 35*b*c**7*d**(19/2)*x**14*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 110*b*c**6*d**(21/2)*x**12*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 114*b*c**5*d**(23/2)*x**10*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 40*b*c**4*d**(25/2)*x**8*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 5*b*c**3*d**(27/2)*x**6*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 30*b*c**2*d**(29/2)*x**4*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 40*b*c*d**(31/2)*x**2*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 16*b*d**(33/2)*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12)","B",0
938,1,910,0,4.919991," ","integrate((a+b/x**2)*x**8*(c+d/x**2)**(1/2),x)","\frac{35 a c^{7} d^{\frac{19}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{110 a c^{6} d^{\frac{21}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{114 a c^{5} d^{\frac{23}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{40 a c^{4} d^{\frac{25}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{5 a c^{3} d^{\frac{27}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{30 a c^{2} d^{\frac{29}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{40 a c d^{\frac{31}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{16 a d^{\frac{33}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{15 b c^{5} d^{\frac{9}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{33 b c^{4} d^{\frac{11}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{17 b c^{3} d^{\frac{13}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{3 b c^{2} d^{\frac{15}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{12 b c d^{\frac{17}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{8 b d^{\frac{19}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}}"," ",0,"35*a*c**7*d**(19/2)*x**14*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 110*a*c**6*d**(21/2)*x**12*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 114*a*c**5*d**(23/2)*x**10*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 40*a*c**4*d**(25/2)*x**8*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 5*a*c**3*d**(27/2)*x**6*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 30*a*c**2*d**(29/2)*x**4*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 40*a*c*d**(31/2)*x**2*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 16*a*d**(33/2)*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 15*b*c**5*d**(9/2)*x**10*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 33*b*c**4*d**(11/2)*x**8*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 17*b*c**3*d**(13/2)*x**6*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 3*b*c**2*d**(15/2)*x**4*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 12*b*c*d**(17/2)*x**2*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 8*b*d**(19/2)*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6)","B",0
939,1,422,0,3.992179," ","integrate((a+b/x**2)*x**6*(c+d/x**2)**(1/2),x)","\frac{15 a c^{5} d^{\frac{9}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{33 a c^{4} d^{\frac{11}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{17 a c^{3} d^{\frac{13}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{3 a c^{2} d^{\frac{15}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{12 a c d^{\frac{17}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{8 a d^{\frac{19}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{b \sqrt{d} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{b d^{\frac{3}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c} - \frac{2 b d^{\frac{5}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{2}}"," ",0,"15*a*c**5*d**(9/2)*x**10*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 33*a*c**4*d**(11/2)*x**8*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 17*a*c**3*d**(13/2)*x**6*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 3*a*c**2*d**(15/2)*x**4*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 12*a*c*d**(17/2)*x**2*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 8*a*d**(19/2)*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + b*sqrt(d)*x**4*sqrt(c*x**2/d + 1)/5 + b*d**(3/2)*x**2*sqrt(c*x**2/d + 1)/(15*c) - 2*b*d**(5/2)*sqrt(c*x**2/d + 1)/(15*c**2)","B",0
940,1,119,0,3.039561," ","integrate((a+b/x**2)*x**4*(c+d/x**2)**(1/2),x)","\frac{a \sqrt{d} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{a d^{\frac{3}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c} - \frac{2 a d^{\frac{5}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{2}} + \frac{b \sqrt{d} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3} + \frac{b d^{\frac{3}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c}"," ",0,"a*sqrt(d)*x**4*sqrt(c*x**2/d + 1)/5 + a*d**(3/2)*x**2*sqrt(c*x**2/d + 1)/(15*c) - 2*a*d**(5/2)*sqrt(c*x**2/d + 1)/(15*c**2) + b*sqrt(d)*x**2*sqrt(c*x**2/d + 1)/3 + b*d**(3/2)*sqrt(c*x**2/d + 1)/(3*c)","B",0
941,1,107,0,3.266172," ","integrate((a+b/x**2)*x**2*(c+d/x**2)**(1/2),x)","\frac{a \sqrt{d} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3} + \frac{a d^{\frac{3}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c} + \frac{b \sqrt{c} x}{\sqrt{1 + \frac{d}{c x^{2}}}} - b \sqrt{d} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)} + \frac{b d}{\sqrt{c} x \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"a*sqrt(d)*x**2*sqrt(c*x**2/d + 1)/3 + a*d**(3/2)*sqrt(c*x**2/d + 1)/(3*c) + b*sqrt(c)*x/sqrt(1 + d/(c*x**2)) - b*sqrt(d)*asinh(sqrt(d)/(sqrt(c)*x)) + b*d/(sqrt(c)*x*sqrt(1 + d/(c*x**2)))","A",0
942,1,107,0,4.484337," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2),x)","\frac{a \sqrt{c} x}{\sqrt{1 + \frac{d}{c x^{2}}}} - a \sqrt{d} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)} + \frac{a d}{\sqrt{c} x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{b \sqrt{c} \sqrt{1 + \frac{d}{c x^{2}}}}{2 x} - \frac{b c \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2 \sqrt{d}}"," ",0,"a*sqrt(c)*x/sqrt(1 + d/(c*x**2)) - a*sqrt(d)*asinh(sqrt(d)/(sqrt(c)*x)) + a*d/(sqrt(c)*x*sqrt(1 + d/(c*x**2))) - b*sqrt(c)*sqrt(1 + d/(c*x**2))/(2*x) - b*c*asinh(sqrt(d)/(sqrt(c)*x))/(2*sqrt(d))","A",0
943,1,144,0,6.972449," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2)/x**2,x)","- \frac{a \sqrt{c} \sqrt{1 + \frac{d}{c x^{2}}}}{2 x} - \frac{a c \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2 \sqrt{d}} - \frac{b c^{\frac{3}{2}}}{8 d x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 b \sqrt{c}}{8 x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b c^{2} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{8 d^{\frac{3}{2}}} - \frac{b d}{4 \sqrt{c} x^{5} \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"-a*sqrt(c)*sqrt(1 + d/(c*x**2))/(2*x) - a*c*asinh(sqrt(d)/(sqrt(c)*x))/(2*sqrt(d)) - b*c**(3/2)/(8*d*x*sqrt(1 + d/(c*x**2))) - 3*b*sqrt(c)/(8*x**3*sqrt(1 + d/(c*x**2))) + b*c**2*asinh(sqrt(d)/(sqrt(c)*x))/(8*d**(3/2)) - b*d/(4*sqrt(c)*x**5*sqrt(1 + d/(c*x**2)))","A",0
944,1,226,0,11.420805," ","integrate((a+b/x**2)*(c+d/x**2)**(1/2)/x**4,x)","- \frac{a c^{\frac{3}{2}}}{8 d x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 a \sqrt{c}}{8 x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{a c^{2} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{8 d^{\frac{3}{2}}} - \frac{a d}{4 \sqrt{c} x^{5} \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b c^{\frac{5}{2}}}{16 d^{2} x \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b c^{\frac{3}{2}}}{48 d x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{5 b \sqrt{c}}{24 x^{5} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{b c^{3} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{16 d^{\frac{5}{2}}} - \frac{b d}{6 \sqrt{c} x^{7} \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"-a*c**(3/2)/(8*d*x*sqrt(1 + d/(c*x**2))) - 3*a*sqrt(c)/(8*x**3*sqrt(1 + d/(c*x**2))) + a*c**2*asinh(sqrt(d)/(sqrt(c)*x))/(8*d**(3/2)) - a*d/(4*sqrt(c)*x**5*sqrt(1 + d/(c*x**2))) + b*c**(5/2)/(16*d**2*x*sqrt(1 + d/(c*x**2))) + b*c**(3/2)/(48*d*x**3*sqrt(1 + d/(c*x**2))) - 5*b*sqrt(c)/(24*x**5*sqrt(1 + d/(c*x**2))) - b*c**3*asinh(sqrt(d)/(sqrt(c)*x))/(16*d**(5/2)) - b*d/(6*sqrt(c)*x**7*sqrt(1 + d/(c*x**2)))","B",0
945,1,253,0,100.224877," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**5,x)","\frac{a c^{2} x^{7}}{6 \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{11 a c \sqrt{d} x^{5}}{24 \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{17 a d^{\frac{3}{2}} x^{3}}{48 \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{a d^{\frac{5}{2}} x}{16 c \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{a d^{3} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{16 c^{\frac{3}{2}}} + \frac{b c^{2} x^{5}}{4 \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{3 b c \sqrt{d} x^{3}}{8 \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{b d^{\frac{3}{2}} x \sqrt{\frac{c x^{2}}{d} + 1}}{2} + \frac{b d^{\frac{3}{2}} x}{8 \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{3 b d^{2} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{8 \sqrt{c}}"," ",0,"a*c**2*x**7/(6*sqrt(d)*sqrt(c*x**2/d + 1)) + 11*a*c*sqrt(d)*x**5/(24*sqrt(c*x**2/d + 1)) + 17*a*d**(3/2)*x**3/(48*sqrt(c*x**2/d + 1)) + a*d**(5/2)*x/(16*c*sqrt(c*x**2/d + 1)) - a*d**3*asinh(sqrt(c)*x/sqrt(d))/(16*c**(3/2)) + b*c**2*x**5/(4*sqrt(d)*sqrt(c*x**2/d + 1)) + 3*b*c*sqrt(d)*x**3/(8*sqrt(c*x**2/d + 1)) + b*d**(3/2)*x*sqrt(c*x**2/d + 1)/2 + b*d**(3/2)*x/(8*sqrt(c*x**2/d + 1)) + 3*b*d**2*asinh(sqrt(c)*x/sqrt(d))/(8*sqrt(c))","B",0
946,-1,0,0,0.000000," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
947,1,187,0,56.155605," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x,x)","\frac{3 a \sqrt{c} d \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{2} + \frac{a c \sqrt{d} x \sqrt{\frac{c x^{2}}{d} + 1}}{2} - \frac{a c \sqrt{d} x}{\sqrt{\frac{c x^{2}}{d} + 1}} - \frac{a d^{\frac{3}{2}}}{x \sqrt{\frac{c x^{2}}{d} + 1}} + b c^{\frac{3}{2}} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)} - \frac{b c^{2} x}{\sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{b c \sqrt{d}}{x \sqrt{\frac{c x^{2}}{d} + 1}} + b d \left(\begin{cases} - \frac{\sqrt{c}}{2 x^{2}} & \text{for}\: d = 0 \\- \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3 d} & \text{otherwise} \end{cases}\right)"," ",0,"3*a*sqrt(c)*d*asinh(sqrt(c)*x/sqrt(d))/2 + a*c*sqrt(d)*x*sqrt(c*x**2/d + 1)/2 - a*c*sqrt(d)*x/sqrt(c*x**2/d + 1) - a*d**(3/2)/(x*sqrt(c*x**2/d + 1)) + b*c**(3/2)*asinh(sqrt(c)*x/sqrt(d)) - b*c**2*x/(sqrt(d)*sqrt(c*x**2/d + 1)) - b*c*sqrt(d)/(x*sqrt(c*x**2/d + 1)) + b*d*Piecewise((-sqrt(c)/(2*x**2), Eq(d, 0)), (-(c + d/x**2)**(3/2)/(3*d), True))","A",0
948,1,73,0,54.144187," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)/x,x)","- \frac{a c^{2} \operatorname{atan}{\left(\frac{\sqrt{c + \frac{d}{x^{2}}}}{\sqrt{- c}} \right)}}{\sqrt{- c}} - a c \sqrt{c + \frac{d}{x^{2}}} - \frac{a \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{b \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5 d}"," ",0,"-a*c**2*atan(sqrt(c + d/x**2)/sqrt(-c))/sqrt(-c) - a*c*sqrt(c + d/x**2) - a*(c + d/x**2)**(3/2)/3 - b*(c + d/x**2)**(5/2)/(5*d)","A",0
949,1,138,0,14.156248," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)/x**3,x)","- \frac{a c \left(\begin{cases} \frac{\sqrt{c}}{x^{2}} & \text{for}\: d = 0 \\\frac{2 \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3 d} & \text{otherwise} \end{cases}\right)}{2} - \frac{a \left(- \frac{c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d} - \frac{b c \left(- \frac{c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d^{2}} - \frac{b \left(\frac{c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{2 c \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7}\right)}{d^{2}}"," ",0,"-a*c*Piecewise((sqrt(c)/x**2, Eq(d, 0)), (2*(c + d/x**2)**(3/2)/(3*d), True))/2 - a*(-c*(c + d/x**2)**(3/2)/3 + (c + d/x**2)**(5/2)/5)/d - b*c*(-c*(c + d/x**2)**(3/2)/3 + (c + d/x**2)**(5/2)/5)/d**2 - b*(c**2*(c + d/x**2)**(3/2)/3 - 2*c*(c + d/x**2)**(5/2)/5 + (c + d/x**2)**(7/2)/7)/d**2","A",0
950,1,194,0,15.607986," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)/x**5,x)","- \frac{a c \left(- \frac{c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d^{2}} - \frac{a \left(\frac{c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{2 c \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7}\right)}{d^{2}} - \frac{b c \left(\frac{c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{2 c \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7}\right)}{d^{3}} - \frac{b \left(- \frac{c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{3 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} - \frac{3 c \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9}\right)}{d^{3}}"," ",0,"-a*c*(-c*(c + d/x**2)**(3/2)/3 + (c + d/x**2)**(5/2)/5)/d**2 - a*(c**2*(c + d/x**2)**(3/2)/3 - 2*c*(c + d/x**2)**(5/2)/5 + (c + d/x**2)**(7/2)/7)/d**2 - b*c*(c**2*(c + d/x**2)**(3/2)/3 - 2*c*(c + d/x**2)**(5/2)/5 + (c + d/x**2)**(7/2)/7)/d**3 - b*(-c**3*(c + d/x**2)**(3/2)/3 + 3*c**2*(c + d/x**2)**(5/2)/5 - 3*c*(c + d/x**2)**(7/2)/7 + (c + d/x**2)**(9/2)/9)/d**3","B",0
951,1,262,0,17.960925," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)/x**7,x)","- \frac{a c \left(\frac{c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{2 c \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7}\right)}{d^{3}} - \frac{a \left(- \frac{c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{3 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} - \frac{3 c \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9}\right)}{d^{3}} - \frac{b c \left(- \frac{c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{3 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} - \frac{3 c \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9}\right)}{d^{4}} - \frac{b \left(\frac{c^{4} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{4 c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{6 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} - \frac{4 c \left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{11}{2}}}{11}\right)}{d^{4}}"," ",0,"-a*c*(c**2*(c + d/x**2)**(3/2)/3 - 2*c*(c + d/x**2)**(5/2)/5 + (c + d/x**2)**(7/2)/7)/d**3 - a*(-c**3*(c + d/x**2)**(3/2)/3 + 3*c**2*(c + d/x**2)**(5/2)/5 - 3*c*(c + d/x**2)**(7/2)/7 + (c + d/x**2)**(9/2)/9)/d**3 - b*c*(-c**3*(c + d/x**2)**(3/2)/3 + 3*c**2*(c + d/x**2)**(5/2)/5 - 3*c*(c + d/x**2)**(7/2)/7 + (c + d/x**2)**(9/2)/9)/d**4 - b*(c**4*(c + d/x**2)**(3/2)/3 - 4*c**3*(c + d/x**2)**(5/2)/5 + 6*c**2*(c + d/x**2)**(7/2)/7 - 4*c*(c + d/x**2)**(9/2)/9 + (c + d/x**2)**(11/2)/11)/d**4","B",0
952,1,326,0,19.446732," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)/x**9,x)","- \frac{a c \left(- \frac{c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + \frac{3 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} - \frac{3 c \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9}\right)}{d^{4}} - \frac{a \left(\frac{c^{4} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{4 c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{6 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} - \frac{4 c \left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{11}{2}}}{11}\right)}{d^{4}} - \frac{b c \left(\frac{c^{4} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} - \frac{4 c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} + \frac{6 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} - \frac{4 c \left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{11}{2}}}{11}\right)}{d^{5}} - \frac{b \left(- \frac{c^{5} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3} + c^{4} \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}} - \frac{10 c^{3} \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7} + \frac{10 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{9}{2}}}{9} - \frac{5 c \left(c + \frac{d}{x^{2}}\right)^{\frac{11}{2}}}{11} + \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{13}{2}}}{13}\right)}{d^{5}}"," ",0,"-a*c*(-c**3*(c + d/x**2)**(3/2)/3 + 3*c**2*(c + d/x**2)**(5/2)/5 - 3*c*(c + d/x**2)**(7/2)/7 + (c + d/x**2)**(9/2)/9)/d**4 - a*(c**4*(c + d/x**2)**(3/2)/3 - 4*c**3*(c + d/x**2)**(5/2)/5 + 6*c**2*(c + d/x**2)**(7/2)/7 - 4*c*(c + d/x**2)**(9/2)/9 + (c + d/x**2)**(11/2)/11)/d**4 - b*c*(c**4*(c + d/x**2)**(3/2)/3 - 4*c**3*(c + d/x**2)**(5/2)/5 + 6*c**2*(c + d/x**2)**(7/2)/7 - 4*c*(c + d/x**2)**(9/2)/9 + (c + d/x**2)**(11/2)/11)/d**5 - b*(-c**5*(c + d/x**2)**(3/2)/3 + c**4*(c + d/x**2)**(5/2) - 10*c**3*(c + d/x**2)**(7/2)/7 + 10*c**2*(c + d/x**2)**(9/2)/9 - 5*c*(c + d/x**2)**(11/2)/11 + (c + d/x**2)**(13/2)/13)/d**5","B",0
953,1,3351,0,12.596259," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**12,x)","\frac{693 a c^{12} d^{\frac{51}{2}} x^{22} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{3528 a c^{11} d^{\frac{53}{2}} x^{20} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{7175 a c^{10} d^{\frac{55}{2}} x^{18} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{7290 a c^{9} d^{\frac{57}{2}} x^{16} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{315 a c^{9} d^{\frac{35}{2}} x^{18} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{3699 a c^{8} d^{\frac{59}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{1295 a c^{8} d^{\frac{37}{2}} x^{16} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{756 a c^{7} d^{\frac{61}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{1990 a c^{7} d^{\frac{39}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{63 a c^{6} d^{\frac{63}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{1358 a c^{6} d^{\frac{41}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{630 a c^{5} d^{\frac{65}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{343 a c^{5} d^{\frac{43}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{1680 a c^{4} d^{\frac{67}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{35 a c^{4} d^{\frac{45}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{2016 a c^{3} d^{\frac{69}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{280 a c^{3} d^{\frac{47}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{1152 a c^{2} d^{\frac{71}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{560 a c^{2} d^{\frac{49}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{256 a c d^{\frac{73}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{9009 c^{11} d^{25} x^{10} + 45045 c^{10} d^{26} x^{8} + 90090 c^{9} d^{27} x^{6} + 90090 c^{8} d^{28} x^{4} + 45045 c^{7} d^{29} x^{2} + 9009 c^{6} d^{30}} + \frac{448 a c d^{\frac{51}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{128 a d^{\frac{53}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{315 b c^{10} d^{\frac{33}{2}} x^{18} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1295 b c^{9} d^{\frac{35}{2}} x^{16} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1990 b c^{8} d^{\frac{37}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1358 b c^{7} d^{\frac{39}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{35 b c^{7} d^{\frac{21}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{343 b c^{6} d^{\frac{41}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{110 b c^{6} d^{\frac{23}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{35 b c^{5} d^{\frac{43}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{114 b c^{5} d^{\frac{25}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{280 b c^{4} d^{\frac{45}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{40 b c^{4} d^{\frac{27}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{560 b c^{3} d^{\frac{47}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{5 b c^{3} d^{\frac{29}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{448 b c^{2} d^{\frac{49}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{30 b c^{2} d^{\frac{31}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{128 b c d^{\frac{51}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{40 b c d^{\frac{33}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{16 b d^{\frac{35}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}}"," ",0,"693*a*c**12*d**(51/2)*x**22*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 3528*a*c**11*d**(53/2)*x**20*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 7175*a*c**10*d**(55/2)*x**18*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 7290*a*c**9*d**(57/2)*x**16*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 315*a*c**9*d**(35/2)*x**18*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 3699*a*c**8*d**(59/2)*x**14*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 1295*a*c**8*d**(37/2)*x**16*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 756*a*c**7*d**(61/2)*x**12*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 1990*a*c**7*d**(39/2)*x**14*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 63*a*c**6*d**(63/2)*x**10*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 1358*a*c**6*d**(41/2)*x**12*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 630*a*c**5*d**(65/2)*x**8*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 343*a*c**5*d**(43/2)*x**10*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 1680*a*c**4*d**(67/2)*x**6*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 35*a*c**4*d**(45/2)*x**8*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 2016*a*c**3*d**(69/2)*x**4*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 280*a*c**3*d**(47/2)*x**6*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 1152*a*c**2*d**(71/2)*x**2*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 560*a*c**2*d**(49/2)*x**4*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 256*a*c*d**(73/2)*sqrt(c*x**2/d + 1)/(9009*c**11*d**25*x**10 + 45045*c**10*d**26*x**8 + 90090*c**9*d**27*x**6 + 90090*c**8*d**28*x**4 + 45045*c**7*d**29*x**2 + 9009*c**6*d**30) + 448*a*c*d**(51/2)*x**2*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 128*a*d**(53/2)*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 315*b*c**10*d**(33/2)*x**18*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1295*b*c**9*d**(35/2)*x**16*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1990*b*c**8*d**(37/2)*x**14*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1358*b*c**7*d**(39/2)*x**12*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 35*b*c**7*d**(21/2)*x**14*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 343*b*c**6*d**(41/2)*x**10*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 110*b*c**6*d**(23/2)*x**12*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 35*b*c**5*d**(43/2)*x**8*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 114*b*c**5*d**(25/2)*x**10*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 280*b*c**4*d**(45/2)*x**6*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 40*b*c**4*d**(27/2)*x**8*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 560*b*c**3*d**(47/2)*x**4*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 5*b*c**3*d**(29/2)*x**6*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 448*b*c**2*d**(49/2)*x**2*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 30*b*c**2*d**(31/2)*x**4*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 128*b*c*d**(51/2)*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 40*b*c*d**(33/2)*x**2*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 16*b*d**(35/2)*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12)","B",0
954,1,2304,0,9.645830," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**10,x)","\frac{315 a c^{10} d^{\frac{33}{2}} x^{18} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1295 a c^{9} d^{\frac{35}{2}} x^{16} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1990 a c^{8} d^{\frac{37}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{1358 a c^{7} d^{\frac{39}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{35 a c^{7} d^{\frac{21}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{343 a c^{6} d^{\frac{41}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{110 a c^{6} d^{\frac{23}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{35 a c^{5} d^{\frac{43}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{114 a c^{5} d^{\frac{25}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{280 a c^{4} d^{\frac{45}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} + \frac{40 a c^{4} d^{\frac{27}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{560 a c^{3} d^{\frac{47}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{5 a c^{3} d^{\frac{29}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{448 a c^{2} d^{\frac{49}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{30 a c^{2} d^{\frac{31}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{128 a c d^{\frac{51}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3465 c^{9} d^{16} x^{8} + 13860 c^{8} d^{17} x^{6} + 20790 c^{7} d^{18} x^{4} + 13860 c^{6} d^{19} x^{2} + 3465 c^{5} d^{20}} - \frac{40 a c d^{\frac{33}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} - \frac{16 a d^{\frac{35}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{35 b c^{8} d^{\frac{19}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{110 b c^{7} d^{\frac{21}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{114 b c^{6} d^{\frac{23}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{40 b c^{5} d^{\frac{25}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{15 b c^{5} d^{\frac{11}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{5 b c^{4} d^{\frac{27}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{33 b c^{4} d^{\frac{13}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{30 b c^{3} d^{\frac{29}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{17 b c^{3} d^{\frac{15}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{40 b c^{2} d^{\frac{31}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{3 b c^{2} d^{\frac{17}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{16 b c d^{\frac{33}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{12 b c d^{\frac{19}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{8 b d^{\frac{21}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}}"," ",0,"315*a*c**10*d**(33/2)*x**18*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1295*a*c**9*d**(35/2)*x**16*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1990*a*c**8*d**(37/2)*x**14*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 1358*a*c**7*d**(39/2)*x**12*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 35*a*c**7*d**(21/2)*x**14*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 343*a*c**6*d**(41/2)*x**10*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 110*a*c**6*d**(23/2)*x**12*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 35*a*c**5*d**(43/2)*x**8*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 114*a*c**5*d**(25/2)*x**10*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 280*a*c**4*d**(45/2)*x**6*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) + 40*a*c**4*d**(27/2)*x**8*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 560*a*c**3*d**(47/2)*x**4*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 5*a*c**3*d**(29/2)*x**6*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 448*a*c**2*d**(49/2)*x**2*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 30*a*c**2*d**(31/2)*x**4*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 128*a*c*d**(51/2)*sqrt(c*x**2/d + 1)/(3465*c**9*d**16*x**8 + 13860*c**8*d**17*x**6 + 20790*c**7*d**18*x**4 + 13860*c**6*d**19*x**2 + 3465*c**5*d**20) - 40*a*c*d**(33/2)*x**2*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) - 16*a*d**(35/2)*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 35*b*c**8*d**(19/2)*x**14*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 110*b*c**7*d**(21/2)*x**12*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 114*b*c**6*d**(23/2)*x**10*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 40*b*c**5*d**(25/2)*x**8*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 15*b*c**5*d**(11/2)*x**10*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 5*b*c**4*d**(27/2)*x**6*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 33*b*c**4*d**(13/2)*x**8*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 30*b*c**3*d**(29/2)*x**4*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 17*b*c**3*d**(15/2)*x**6*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 40*b*c**2*d**(31/2)*x**2*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 3*b*c**2*d**(17/2)*x**4*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 16*b*c*d**(33/2)*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 12*b*c*d**(19/2)*x**2*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 8*b*d**(21/2)*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6)","B",0
955,1,1340,0,7.637789," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**8,x)","\frac{35 a c^{8} d^{\frac{19}{2}} x^{14} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{110 a c^{7} d^{\frac{21}{2}} x^{12} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{114 a c^{6} d^{\frac{23}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{40 a c^{5} d^{\frac{25}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{15 a c^{5} d^{\frac{11}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{5 a c^{4} d^{\frac{27}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{33 a c^{4} d^{\frac{13}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{30 a c^{3} d^{\frac{29}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{17 a c^{3} d^{\frac{15}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{40 a c^{2} d^{\frac{31}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{3 a c^{2} d^{\frac{17}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} - \frac{16 a c d^{\frac{33}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{315 c^{7} d^{9} x^{6} + 945 c^{6} d^{10} x^{4} + 945 c^{5} d^{11} x^{2} + 315 c^{4} d^{12}} + \frac{12 a c d^{\frac{19}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{8 a d^{\frac{21}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{15 b c^{6} d^{\frac{9}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{33 b c^{5} d^{\frac{11}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{17 b c^{4} d^{\frac{13}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{3 b c^{3} d^{\frac{15}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{12 b c^{2} d^{\frac{17}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{8 b c d^{\frac{19}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{b d^{\frac{3}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{b d^{\frac{5}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c} - \frac{2 b d^{\frac{7}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{2}}"," ",0,"35*a*c**8*d**(19/2)*x**14*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 110*a*c**7*d**(21/2)*x**12*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 114*a*c**6*d**(23/2)*x**10*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 40*a*c**5*d**(25/2)*x**8*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 15*a*c**5*d**(11/2)*x**10*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 5*a*c**4*d**(27/2)*x**6*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 33*a*c**4*d**(13/2)*x**8*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 30*a*c**3*d**(29/2)*x**4*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 17*a*c**3*d**(15/2)*x**6*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 40*a*c**2*d**(31/2)*x**2*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 3*a*c**2*d**(17/2)*x**4*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) - 16*a*c*d**(33/2)*sqrt(c*x**2/d + 1)/(315*c**7*d**9*x**6 + 945*c**6*d**10*x**4 + 945*c**5*d**11*x**2 + 315*c**4*d**12) + 12*a*c*d**(19/2)*x**2*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 8*a*d**(21/2)*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 15*b*c**6*d**(9/2)*x**10*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 33*b*c**5*d**(11/2)*x**8*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 17*b*c**4*d**(13/2)*x**6*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 3*b*c**3*d**(15/2)*x**4*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 12*b*c**2*d**(17/2)*x**2*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 8*b*c*d**(19/2)*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + b*d**(3/2)*x**4*sqrt(c*x**2/d + 1)/5 + b*d**(5/2)*x**2*sqrt(c*x**2/d + 1)/(15*c) - 2*b*d**(7/2)*sqrt(c*x**2/d + 1)/(15*c**2)","B",0
956,1,498,0,5.947638," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**6,x)","\frac{15 a c^{6} d^{\frac{9}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{33 a c^{5} d^{\frac{11}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{17 a c^{4} d^{\frac{13}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{3 a c^{3} d^{\frac{15}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{12 a c^{2} d^{\frac{17}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{8 a c d^{\frac{19}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{105 c^{5} d^{4} x^{4} + 210 c^{4} d^{5} x^{2} + 105 c^{3} d^{6}} + \frac{a d^{\frac{3}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{a d^{\frac{5}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c} - \frac{2 a d^{\frac{7}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{2}} + \frac{b c \sqrt{d} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{2 b d^{\frac{3}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{b d^{\frac{5}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{5 c}"," ",0,"15*a*c**6*d**(9/2)*x**10*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 33*a*c**5*d**(11/2)*x**8*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 17*a*c**4*d**(13/2)*x**6*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 3*a*c**3*d**(15/2)*x**4*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 12*a*c**2*d**(17/2)*x**2*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + 8*a*c*d**(19/2)*sqrt(c*x**2/d + 1)/(105*c**5*d**4*x**4 + 210*c**4*d**5*x**2 + 105*c**3*d**6) + a*d**(3/2)*x**4*sqrt(c*x**2/d + 1)/5 + a*d**(5/2)*x**2*sqrt(c*x**2/d + 1)/(15*c) - 2*a*d**(7/2)*sqrt(c*x**2/d + 1)/(15*c**2) + b*c*sqrt(d)*x**4*sqrt(c*x**2/d + 1)/5 + 2*b*d**(3/2)*x**2*sqrt(c*x**2/d + 1)/5 + b*d**(5/2)*sqrt(c*x**2/d + 1)/(5*c)","B",0
957,1,184,0,5.248856," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**4,x)","\frac{a c \sqrt{d} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{2 a d^{\frac{3}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{5} + \frac{a d^{\frac{5}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{5 c} + \frac{b \sqrt{c} d x}{\sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b c \sqrt{d} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3} + \frac{b d^{\frac{3}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3} - b d^{\frac{3}{2}} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)} + \frac{b d^{2}}{\sqrt{c} x \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"a*c*sqrt(d)*x**4*sqrt(c*x**2/d + 1)/5 + 2*a*d**(3/2)*x**2*sqrt(c*x**2/d + 1)/5 + a*d**(5/2)*sqrt(c*x**2/d + 1)/(5*c) + b*sqrt(c)*d*x/sqrt(1 + d/(c*x**2)) + b*c*sqrt(d)*x**2*sqrt(c*x**2/d + 1)/3 + b*d**(3/2)*sqrt(c*x**2/d + 1)/3 - b*d**(3/2)*asinh(sqrt(d)/(sqrt(c)*x)) + b*d**2/(sqrt(c)*x*sqrt(1 + d/(c*x**2)))","B",0
958,1,202,0,7.646223," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)*x**2,x)","\frac{a \sqrt{c} d x}{\sqrt{1 + \frac{d}{c x^{2}}}} + \frac{a c \sqrt{d} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3} + \frac{a d^{\frac{3}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3} - a d^{\frac{3}{2}} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)} + \frac{a d^{2}}{\sqrt{c} x \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b c^{\frac{3}{2}} x}{\sqrt{1 + \frac{d}{c x^{2}}}} - \frac{b \sqrt{c} d \sqrt{1 + \frac{d}{c x^{2}}}}{2 x} + \frac{b \sqrt{c} d}{x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 b c \sqrt{d} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2}"," ",0,"a*sqrt(c)*d*x/sqrt(1 + d/(c*x**2)) + a*c*sqrt(d)*x**2*sqrt(c*x**2/d + 1)/3 + a*d**(3/2)*sqrt(c*x**2/d + 1)/3 - a*d**(3/2)*asinh(sqrt(d)/(sqrt(c)*x)) + a*d**2/(sqrt(c)*x*sqrt(1 + d/(c*x**2))) + b*c**(3/2)*x/sqrt(1 + d/(c*x**2)) - b*sqrt(c)*d*sqrt(1 + d/(c*x**2))/(2*x) + b*sqrt(c)*d/(x*sqrt(1 + d/(c*x**2))) - 3*b*c*sqrt(d)*asinh(sqrt(d)/(sqrt(c)*x))/2","A",0
959,1,216,0,11.776170," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2),x)","\frac{a c^{\frac{3}{2}} x}{\sqrt{1 + \frac{d}{c x^{2}}}} - \frac{a \sqrt{c} d \sqrt{1 + \frac{d}{c x^{2}}}}{2 x} + \frac{a \sqrt{c} d}{x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 a c \sqrt{d} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2} - \frac{b c^{\frac{3}{2}} \sqrt{1 + \frac{d}{c x^{2}}}}{2 x} - \frac{b c^{\frac{3}{2}}}{8 x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 b \sqrt{c} d}{8 x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 b c^{2} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{8 \sqrt{d}} - \frac{b d^{2}}{4 \sqrt{c} x^{5} \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"a*c**(3/2)*x/sqrt(1 + d/(c*x**2)) - a*sqrt(c)*d*sqrt(1 + d/(c*x**2))/(2*x) + a*sqrt(c)*d/(x*sqrt(1 + d/(c*x**2))) - 3*a*c*sqrt(d)*asinh(sqrt(d)/(sqrt(c)*x))/2 - b*c**(3/2)*sqrt(1 + d/(c*x**2))/(2*x) - b*c**(3/2)/(8*x*sqrt(1 + d/(c*x**2))) - 3*b*sqrt(c)*d/(8*x**3*sqrt(1 + d/(c*x**2))) - 3*b*c**2*asinh(sqrt(d)/(sqrt(c)*x))/(8*sqrt(d)) - b*d**2/(4*sqrt(c)*x**5*sqrt(1 + d/(c*x**2)))","B",0
960,1,253,0,18.949131," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)/x**2,x)","- \frac{a c^{\frac{3}{2}} \sqrt{1 + \frac{d}{c x^{2}}}}{2 x} - \frac{a c^{\frac{3}{2}}}{8 x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 a \sqrt{c} d}{8 x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 a c^{2} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{8 \sqrt{d}} - \frac{a d^{2}}{4 \sqrt{c} x^{5} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{b c^{\frac{5}{2}}}{16 d x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{17 b c^{\frac{3}{2}}}{48 x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{11 b \sqrt{c} d}{24 x^{5} \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b c^{3} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{16 d^{\frac{3}{2}}} - \frac{b d^{2}}{6 \sqrt{c} x^{7} \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"-a*c**(3/2)*sqrt(1 + d/(c*x**2))/(2*x) - a*c**(3/2)/(8*x*sqrt(1 + d/(c*x**2))) - 3*a*sqrt(c)*d/(8*x**3*sqrt(1 + d/(c*x**2))) - 3*a*c**2*asinh(sqrt(d)/(sqrt(c)*x))/(8*sqrt(d)) - a*d**2/(4*sqrt(c)*x**5*sqrt(1 + d/(c*x**2))) - b*c**(5/2)/(16*d*x*sqrt(1 + d/(c*x**2))) - 17*b*c**(3/2)/(48*x**3*sqrt(1 + d/(c*x**2))) - 11*b*sqrt(c)*d/(24*x**5*sqrt(1 + d/(c*x**2))) + b*c**3*asinh(sqrt(d)/(sqrt(c)*x))/(16*d**(3/2)) - b*d**2/(6*sqrt(c)*x**7*sqrt(1 + d/(c*x**2)))","B",0
961,1,287,0,29.162667," ","integrate((a+b/x**2)*(c+d/x**2)**(3/2)/x**4,x)","- \frac{a c^{\frac{5}{2}}}{16 d x \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{17 a c^{\frac{3}{2}}}{48 x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{11 a \sqrt{c} d}{24 x^{5} \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{a c^{3} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{16 d^{\frac{3}{2}}} - \frac{a d^{2}}{6 \sqrt{c} x^{7} \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{3 b c^{\frac{7}{2}}}{128 d^{2} x \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b c^{\frac{5}{2}}}{128 d x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{13 b c^{\frac{3}{2}}}{64 x^{5} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{5 b \sqrt{c} d}{16 x^{7} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 b c^{4} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{128 d^{\frac{5}{2}}} - \frac{b d^{2}}{8 \sqrt{c} x^{9} \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"-a*c**(5/2)/(16*d*x*sqrt(1 + d/(c*x**2))) - 17*a*c**(3/2)/(48*x**3*sqrt(1 + d/(c*x**2))) - 11*a*sqrt(c)*d/(24*x**5*sqrt(1 + d/(c*x**2))) + a*c**3*asinh(sqrt(d)/(sqrt(c)*x))/(16*d**(3/2)) - a*d**2/(6*sqrt(c)*x**7*sqrt(1 + d/(c*x**2))) + 3*b*c**(7/2)/(128*d**2*x*sqrt(1 + d/(c*x**2))) + b*c**(5/2)/(128*d*x**3*sqrt(1 + d/(c*x**2))) - 13*b*c**(3/2)/(64*x**5*sqrt(1 + d/(c*x**2))) - 5*b*sqrt(c)*d/(16*x**7*sqrt(1 + d/(c*x**2))) - 3*b*c**4*asinh(sqrt(d)/(sqrt(c)*x))/(128*d**(5/2)) - b*d**2/(8*sqrt(c)*x**9*sqrt(1 + d/(c*x**2)))","B",0
962,1,150,0,71.064333," ","integrate((a+b/x**2)*x**3/(c+d/x**2)**(1/2),x)","\frac{a x^{5}}{4 \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{a \sqrt{d} x^{3}}{8 c \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{3 a d^{\frac{3}{2}} x}{8 c^{2} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{3 a d^{2} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{8 c^{\frac{5}{2}}} + \frac{b \sqrt{d} x \sqrt{\frac{c x^{2}}{d} + 1}}{2 c} - \frac{b d \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{2 c^{\frac{3}{2}}}"," ",0,"a*x**5/(4*sqrt(d)*sqrt(c*x**2/d + 1)) - a*sqrt(d)*x**3/(8*c*sqrt(c*x**2/d + 1)) - 3*a*d**(3/2)*x/(8*c**2*sqrt(c*x**2/d + 1)) + 3*a*d**2*asinh(sqrt(c)*x/sqrt(d))/(8*c**(5/2)) + b*sqrt(d)*x*sqrt(c*x**2/d + 1)/(2*c) - b*d*asinh(sqrt(c)*x/sqrt(d))/(2*c**(3/2))","A",0
963,1,66,0,84.411086," ","integrate((a+b/x**2)*x/(c+d/x**2)**(1/2),x)","\frac{a \sqrt{d} x \sqrt{\frac{c x^{2}}{d} + 1}}{2 c} - \frac{a d \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{2 c^{\frac{3}{2}}} + \frac{b \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{\sqrt{c}}"," ",0,"a*sqrt(d)*x*sqrt(c*x**2/d + 1)/(2*c) - a*d*asinh(sqrt(c)*x/sqrt(d))/(2*c**(3/2)) + b*asinh(sqrt(c)*x/sqrt(d))/sqrt(c)","A",0
964,1,63,0,22.339132," ","integrate((a+b/x**2)/x/(c+d/x**2)**(1/2),x)","- \frac{a \operatorname{atan}{\left(\frac{1}{\sqrt{- \frac{1}{c}} \sqrt{c + \frac{d}{x^{2}}}} \right)}}{c \sqrt{- \frac{1}{c}}} + \frac{b \left(\begin{cases} - \frac{1}{\sqrt{c} x^{2}} & \text{for}\: d = 0 \\- \frac{2 \sqrt{c + \frac{d}{x^{2}}}}{d} & \text{otherwise} \end{cases}\right)}{2}"," ",0,"-a*atan(1/(sqrt(-1/c)*sqrt(c + d/x**2)))/(c*sqrt(-1/c)) + b*Piecewise((-1/(sqrt(c)*x**2), Eq(d, 0)), (-2*sqrt(c + d/x**2)/d, True))/2","A",0
965,1,138,0,7.053866," ","integrate((a+b/x**2)/x**3/(c+d/x**2)**(1/2),x)","\frac{\begin{cases} \frac{- \frac{a}{x^{2}} - \frac{b}{2 x^{4}}}{\sqrt{c}} & \text{for}\: d = 0 \\\frac{\frac{2 a c}{\sqrt{c + \frac{d}{x^{2}}}} + 2 a \left(- \frac{c}{\sqrt{c + \frac{d}{x^{2}}}} - \sqrt{c + \frac{d}{x^{2}}}\right) + \frac{2 b c \left(- \frac{c}{\sqrt{c + \frac{d}{x^{2}}}} - \sqrt{c + \frac{d}{x^{2}}}\right)}{d} + \frac{2 b \left(\frac{c^{2}}{\sqrt{c + \frac{d}{x^{2}}}} + 2 c \sqrt{c + \frac{d}{x^{2}}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3}\right)}{d}}{d} & \text{otherwise} \end{cases}}{2}"," ",0,"Piecewise(((-a/x**2 - b/(2*x**4))/sqrt(c), Eq(d, 0)), ((2*a*c/sqrt(c + d/x**2) + 2*a*(-c/sqrt(c + d/x**2) - sqrt(c + d/x**2)) + 2*b*c*(-c/sqrt(c + d/x**2) - sqrt(c + d/x**2))/d + 2*b*(c**2/sqrt(c + d/x**2) + 2*c*sqrt(c + d/x**2) - (c + d/x**2)**(3/2)/3)/d)/d, True))/2","A",0
966,1,204,0,13.172382," ","integrate((a+b/x**2)/x**5/(c+d/x**2)**(1/2),x)","\frac{\begin{cases} \frac{- \frac{a}{2 x^{4}} - \frac{b}{3 x^{6}}}{\sqrt{c}} & \text{for}\: d = 0 \\\frac{\frac{2 a c \left(- \frac{c}{\sqrt{c + \frac{d}{x^{2}}}} - \sqrt{c + \frac{d}{x^{2}}}\right)}{d} + \frac{2 a \left(\frac{c^{2}}{\sqrt{c + \frac{d}{x^{2}}}} + 2 c \sqrt{c + \frac{d}{x^{2}}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3}\right)}{d} + \frac{2 b c \left(\frac{c^{2}}{\sqrt{c + \frac{d}{x^{2}}}} + 2 c \sqrt{c + \frac{d}{x^{2}}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3}\right)}{d^{2}} + \frac{2 b \left(- \frac{c^{3}}{\sqrt{c + \frac{d}{x^{2}}}} - 3 c^{2} \sqrt{c + \frac{d}{x^{2}}} + c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d^{2}}}{d} & \text{otherwise} \end{cases}}{2}"," ",0,"Piecewise(((-a/(2*x**4) - b/(3*x**6))/sqrt(c), Eq(d, 0)), ((2*a*c*(-c/sqrt(c + d/x**2) - sqrt(c + d/x**2))/d + 2*a*(c**2/sqrt(c + d/x**2) + 2*c*sqrt(c + d/x**2) - (c + d/x**2)**(3/2)/3)/d + 2*b*c*(c**2/sqrt(c + d/x**2) + 2*c*sqrt(c + d/x**2) - (c + d/x**2)**(3/2)/3)/d**2 + 2*b*(-c**3/sqrt(c + d/x**2) - 3*c**2*sqrt(c + d/x**2) + c*(c + d/x**2)**(3/2) - (c + d/x**2)**(5/2)/5)/d**2)/d, True))/2","A",0
967,1,269,0,18.000965," ","integrate((a+b/x**2)/x**7/(c+d/x**2)**(1/2),x)","\frac{\begin{cases} \frac{- \frac{a}{3 x^{6}} - \frac{b}{4 x^{8}}}{\sqrt{c}} & \text{for}\: d = 0 \\\frac{\frac{2 a c \left(\frac{c^{2}}{\sqrt{c + \frac{d}{x^{2}}}} + 2 c \sqrt{c + \frac{d}{x^{2}}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3}\right)}{d^{2}} + \frac{2 a \left(- \frac{c^{3}}{\sqrt{c + \frac{d}{x^{2}}}} - 3 c^{2} \sqrt{c + \frac{d}{x^{2}}} + c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d^{2}} + \frac{2 b c \left(- \frac{c^{3}}{\sqrt{c + \frac{d}{x^{2}}}} - 3 c^{2} \sqrt{c + \frac{d}{x^{2}}} + c \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5}\right)}{d^{3}} + \frac{2 b \left(\frac{c^{4}}{\sqrt{c + \frac{d}{x^{2}}}} + 4 c^{3} \sqrt{c + \frac{d}{x^{2}}} - 2 c^{2} \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}} + \frac{4 c \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7}\right)}{d^{3}}}{d} & \text{otherwise} \end{cases}}{2}"," ",0,"Piecewise(((-a/(3*x**6) - b/(4*x**8))/sqrt(c), Eq(d, 0)), ((2*a*c*(c**2/sqrt(c + d/x**2) + 2*c*sqrt(c + d/x**2) - (c + d/x**2)**(3/2)/3)/d**2 + 2*a*(-c**3/sqrt(c + d/x**2) - 3*c**2*sqrt(c + d/x**2) + c*(c + d/x**2)**(3/2) - (c + d/x**2)**(5/2)/5)/d**2 + 2*b*c*(-c**3/sqrt(c + d/x**2) - 3*c**2*sqrt(c + d/x**2) + c*(c + d/x**2)**(3/2) - (c + d/x**2)**(5/2)/5)/d**3 + 2*b*(c**4/sqrt(c + d/x**2) + 4*c**3*sqrt(c + d/x**2) - 2*c**2*(c + d/x**2)**(3/2) + 4*c*(c + d/x**2)**(5/2)/5 - (c + d/x**2)**(7/2)/7)/d**3)/d, True))/2","A",0
968,1,338,0,3.553133," ","integrate((a+b/x**2)*x**4/(c+d/x**2)**(1/2),x)","\frac{3 a c^{4} d^{\frac{9}{2}} x^{8} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{5} d^{4} x^{4} + 30 c^{4} d^{5} x^{2} + 15 c^{3} d^{6}} + \frac{2 a c^{3} d^{\frac{11}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{5} d^{4} x^{4} + 30 c^{4} d^{5} x^{2} + 15 c^{3} d^{6}} + \frac{3 a c^{2} d^{\frac{13}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{5} d^{4} x^{4} + 30 c^{4} d^{5} x^{2} + 15 c^{3} d^{6}} + \frac{12 a c d^{\frac{15}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{5} d^{4} x^{4} + 30 c^{4} d^{5} x^{2} + 15 c^{3} d^{6}} + \frac{8 a d^{\frac{17}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{15 c^{5} d^{4} x^{4} + 30 c^{4} d^{5} x^{2} + 15 c^{3} d^{6}} + \frac{b \sqrt{d} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c} - \frac{2 b d^{\frac{3}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{2}}"," ",0,"3*a*c**4*d**(9/2)*x**8*sqrt(c*x**2/d + 1)/(15*c**5*d**4*x**4 + 30*c**4*d**5*x**2 + 15*c**3*d**6) + 2*a*c**3*d**(11/2)*x**6*sqrt(c*x**2/d + 1)/(15*c**5*d**4*x**4 + 30*c**4*d**5*x**2 + 15*c**3*d**6) + 3*a*c**2*d**(13/2)*x**4*sqrt(c*x**2/d + 1)/(15*c**5*d**4*x**4 + 30*c**4*d**5*x**2 + 15*c**3*d**6) + 12*a*c*d**(15/2)*x**2*sqrt(c*x**2/d + 1)/(15*c**5*d**4*x**4 + 30*c**4*d**5*x**2 + 15*c**3*d**6) + 8*a*d**(17/2)*sqrt(c*x**2/d + 1)/(15*c**5*d**4*x**4 + 30*c**4*d**5*x**2 + 15*c**3*d**6) + b*sqrt(d)*x**2*sqrt(c*x**2/d + 1)/(3*c) - 2*b*d**(3/2)*sqrt(c*x**2/d + 1)/(3*c**2)","B",0
969,1,70,0,2.755433," ","integrate((a+b/x**2)*x**2/(c+d/x**2)**(1/2),x)","\frac{a \sqrt{d} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c} - \frac{2 a d^{\frac{3}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{2}} + \frac{b \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}}{c}"," ",0,"a*sqrt(d)*x**2*sqrt(c*x**2/d + 1)/(3*c) - 2*a*d**(3/2)*sqrt(c*x**2/d + 1)/(3*c**2) + b*sqrt(d)*sqrt(c*x**2/d + 1)/c","A",0
970,1,39,0,2.855865," ","integrate((a+b/x**2)/(c+d/x**2)**(1/2),x)","\frac{a \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}}{c} - \frac{b \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{\sqrt{d}}"," ",0,"a*sqrt(d)*sqrt(c*x**2/d + 1)/c - b*asinh(sqrt(d)/(sqrt(c)*x))/sqrt(d)","A",0
971,1,66,0,4.920677," ","integrate((a+b/x**2)/x**2/(c+d/x**2)**(1/2),x)","- \frac{a \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{\sqrt{d}} - \frac{b \sqrt{c} \sqrt{1 + \frac{d}{c x^{2}}}}{2 d x} + \frac{b c \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2 d^{\frac{3}{2}}}"," ",0,"-a*asinh(sqrt(d)/(sqrt(c)*x))/sqrt(d) - b*sqrt(c)*sqrt(1 + d/(c*x**2))/(2*d*x) + b*c*asinh(sqrt(d)/(sqrt(c)*x))/(2*d**(3/2))","A",0
972,1,150,0,8.460523," ","integrate((a+b/x**2)/x**4/(c+d/x**2)**(1/2),x)","- \frac{a \sqrt{c} \sqrt{1 + \frac{d}{c x^{2}}}}{2 d x} + \frac{a c \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2 d^{\frac{3}{2}}} + \frac{3 b c^{\frac{3}{2}}}{8 d^{2} x \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{b \sqrt{c}}{8 d x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{3 b c^{2} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{8 d^{\frac{5}{2}}} - \frac{b}{4 \sqrt{c} x^{5} \sqrt{1 + \frac{d}{c x^{2}}}}"," ",0,"-a*sqrt(c)*sqrt(1 + d/(c*x**2))/(2*d*x) + a*c*asinh(sqrt(d)/(sqrt(c)*x))/(2*d**(3/2)) + 3*b*c**(3/2)/(8*d**2*x*sqrt(1 + d/(c*x**2))) + b*sqrt(c)/(8*d*x**3*sqrt(1 + d/(c*x**2))) - 3*b*c**2*asinh(sqrt(d)/(sqrt(c)*x))/(8*d**(5/2)) - b/(4*sqrt(c)*x**5*sqrt(1 + d/(c*x**2)))","A",0
973,1,177,0,103.904442," ","integrate((a+b/x**2)*x**3/(c+d/x**2)**(3/2),x)","a \left(\frac{x^{5}}{4 c \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{5 \sqrt{d} x^{3}}{8 c^{2} \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{15 d^{\frac{3}{2}} x}{8 c^{3} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{15 d^{2} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{8 c^{\frac{7}{2}}}\right) + b \left(\frac{x^{3}}{2 c \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{3 \sqrt{d} x}{2 c^{2} \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{3 d \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{2 c^{\frac{5}{2}}}\right)"," ",0,"a*(x**5/(4*c*sqrt(d)*sqrt(c*x**2/d + 1)) - 5*sqrt(d)*x**3/(8*c**2*sqrt(c*x**2/d + 1)) - 15*d**(3/2)*x/(8*c**3*sqrt(c*x**2/d + 1)) + 15*d**2*asinh(sqrt(c)*x/sqrt(d))/(8*c**(7/2))) + b*(x**3/(2*c*sqrt(d)*sqrt(c*x**2/d + 1)) + 3*sqrt(d)*x/(2*c**2*sqrt(c*x**2/d + 1)) - 3*d*asinh(sqrt(c)*x/sqrt(d))/(2*c**(5/2)))","A",0
974,1,264,0,52.419239," ","integrate((a+b/x**2)*x/(c+d/x**2)**(3/2),x)","a \left(\frac{x^{3}}{2 c \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{3 \sqrt{d} x}{2 c^{2} \sqrt{\frac{c x^{2}}{d} + 1}} - \frac{3 d \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{d}} \right)}}{2 c^{\frac{5}{2}}}\right) + b \left(- \frac{2 c^{3} x^{2} \sqrt{1 + \frac{d}{c x^{2}}}}{2 c^{\frac{9}{2}} x^{2} + 2 c^{\frac{7}{2}} d} - \frac{c^{3} x^{2} \log{\left(\frac{d}{c x^{2}} \right)}}{2 c^{\frac{9}{2}} x^{2} + 2 c^{\frac{7}{2}} d} + \frac{2 c^{3} x^{2} \log{\left(\sqrt{1 + \frac{d}{c x^{2}}} + 1 \right)}}{2 c^{\frac{9}{2}} x^{2} + 2 c^{\frac{7}{2}} d} - \frac{c^{2} d \log{\left(\frac{d}{c x^{2}} \right)}}{2 c^{\frac{9}{2}} x^{2} + 2 c^{\frac{7}{2}} d} + \frac{2 c^{2} d \log{\left(\sqrt{1 + \frac{d}{c x^{2}}} + 1 \right)}}{2 c^{\frac{9}{2}} x^{2} + 2 c^{\frac{7}{2}} d}\right)"," ",0,"a*(x**3/(2*c*sqrt(d)*sqrt(c*x**2/d + 1)) + 3*sqrt(d)*x/(2*c**2*sqrt(c*x**2/d + 1)) - 3*d*asinh(sqrt(c)*x/sqrt(d))/(2*c**(5/2))) + b*(-2*c**3*x**2*sqrt(1 + d/(c*x**2))/(2*c**(9/2)*x**2 + 2*c**(7/2)*d) - c**3*x**2*log(d/(c*x**2))/(2*c**(9/2)*x**2 + 2*c**(7/2)*d) + 2*c**3*x**2*log(sqrt(1 + d/(c*x**2)) + 1)/(2*c**(9/2)*x**2 + 2*c**(7/2)*d) - c**2*d*log(d/(c*x**2))/(2*c**(9/2)*x**2 + 2*c**(7/2)*d) + 2*c**2*d*log(sqrt(1 + d/(c*x**2)) + 1)/(2*c**(9/2)*x**2 + 2*c**(7/2)*d))","B",0
975,1,49,0,20.332721," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x,x)","- \frac{a \operatorname{atan}{\left(\frac{\sqrt{c + \frac{d}{x^{2}}}}{\sqrt{- c}} \right)}}{c \sqrt{- c}} - \frac{a d - b c}{c d \sqrt{c + \frac{d}{x^{2}}}}"," ",0,"-a*atan(sqrt(c + d/x**2)/sqrt(-c))/(c*sqrt(-c)) - (a*d - b*c)/(c*d*sqrt(c + d/x**2))","A",0
976,1,68,0,3.421170," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x**3,x)","\begin{cases} \frac{a}{d \sqrt{c + \frac{d}{x^{2}}}} - \frac{2 b c}{d^{2} \sqrt{c + \frac{d}{x^{2}}}} - \frac{b}{d x^{2} \sqrt{c + \frac{d}{x^{2}}}} & \text{for}\: d \neq 0 \\\frac{- \frac{a}{2 x^{2}} - \frac{b}{4 x^{4}}}{c^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a/(d*sqrt(c + d/x**2)) - 2*b*c/(d**2*sqrt(c + d/x**2)) - b/(d*x**2*sqrt(c + d/x**2)), Ne(d, 0)), ((-a/(2*x**2) - b/(4*x**4))/c**(3/2), True))","A",0
977,1,61,0,11.070925," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x**5,x)","- \frac{b \left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}}}{3 d^{3}} - \frac{c \left(a d - b c\right)}{d^{3} \sqrt{c + \frac{d}{x^{2}}}} - \frac{\sqrt{c + \frac{d}{x^{2}}} \left(a d - 2 b c\right)}{d^{3}}"," ",0,"-b*(c + d/x**2)**(3/2)/(3*d**3) - c*(a*d - b*c)/(d**3*sqrt(c + d/x**2)) - sqrt(c + d/x**2)*(a*d - 2*b*c)/d**3","A",0
978,1,90,0,13.278893," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x**7,x)","- \frac{b \left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}}}{5 d^{4}} + \frac{c^{2} \left(a d - b c\right)}{d^{4} \sqrt{c + \frac{d}{x^{2}}}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}} \left(a d - 3 b c\right)}{3 d^{4}} - \frac{\sqrt{c + \frac{d}{x^{2}}} \left(- 2 a c d + 3 b c^{2}\right)}{d^{4}}"," ",0,"-b*(c + d/x**2)**(5/2)/(5*d**4) + c**2*(a*d - b*c)/(d**4*sqrt(c + d/x**2)) - (c + d/x**2)**(3/2)*(a*d - 3*b*c)/(3*d**4) - sqrt(c + d/x**2)*(-2*a*c*d + 3*b*c**2)/d**4","A",0
979,1,122,0,16.143231," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x**9,x)","- \frac{b \left(c + \frac{d}{x^{2}}\right)^{\frac{7}{2}}}{7 d^{5}} - \frac{c^{3} \left(a d - b c\right)}{d^{5} \sqrt{c + \frac{d}{x^{2}}}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{5}{2}} \left(a d - 4 b c\right)}{5 d^{5}} - \frac{\left(c + \frac{d}{x^{2}}\right)^{\frac{3}{2}} \left(- 3 a c d + 6 b c^{2}\right)}{3 d^{5}} - \frac{\sqrt{c + \frac{d}{x^{2}}} \left(3 a c^{2} d - 4 b c^{3}\right)}{d^{5}}"," ",0,"-b*(c + d/x**2)**(7/2)/(7*d**5) - c**3*(a*d - b*c)/(d**5*sqrt(c + d/x**2)) - (c + d/x**2)**(5/2)*(a*d - 4*b*c)/(5*d**5) - (c + d/x**2)**(3/2)*(-3*a*c*d + 6*b*c**2)/(3*d**5) - sqrt(c + d/x**2)*(3*a*c**2*d - 4*b*c**3)/d**5","A",0
980,1,561,0,7.830854," ","integrate((a+b/x**2)*x**4/(c+d/x**2)**(3/2),x)","a \left(\frac{c^{5} d^{\frac{19}{2}} x^{10} \sqrt{\frac{c x^{2}}{d} + 1}}{5 c^{7} d^{9} x^{6} + 15 c^{6} d^{10} x^{4} + 15 c^{5} d^{11} x^{2} + 5 c^{4} d^{12}} + \frac{5 c^{3} d^{\frac{23}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{5 c^{7} d^{9} x^{6} + 15 c^{6} d^{10} x^{4} + 15 c^{5} d^{11} x^{2} + 5 c^{4} d^{12}} + \frac{30 c^{2} d^{\frac{25}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{5 c^{7} d^{9} x^{6} + 15 c^{6} d^{10} x^{4} + 15 c^{5} d^{11} x^{2} + 5 c^{4} d^{12}} + \frac{40 c d^{\frac{27}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{5 c^{7} d^{9} x^{6} + 15 c^{6} d^{10} x^{4} + 15 c^{5} d^{11} x^{2} + 5 c^{4} d^{12}} + \frac{16 d^{\frac{29}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{5 c^{7} d^{9} x^{6} + 15 c^{6} d^{10} x^{4} + 15 c^{5} d^{11} x^{2} + 5 c^{4} d^{12}}\right) + b \left(\frac{c^{3} d^{\frac{9}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}} - \frac{3 c^{2} d^{\frac{11}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}} - \frac{12 c d^{\frac{13}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}} - \frac{8 d^{\frac{15}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}}\right)"," ",0,"a*(c**5*d**(19/2)*x**10*sqrt(c*x**2/d + 1)/(5*c**7*d**9*x**6 + 15*c**6*d**10*x**4 + 15*c**5*d**11*x**2 + 5*c**4*d**12) + 5*c**3*d**(23/2)*x**6*sqrt(c*x**2/d + 1)/(5*c**7*d**9*x**6 + 15*c**6*d**10*x**4 + 15*c**5*d**11*x**2 + 5*c**4*d**12) + 30*c**2*d**(25/2)*x**4*sqrt(c*x**2/d + 1)/(5*c**7*d**9*x**6 + 15*c**6*d**10*x**4 + 15*c**5*d**11*x**2 + 5*c**4*d**12) + 40*c*d**(27/2)*x**2*sqrt(c*x**2/d + 1)/(5*c**7*d**9*x**6 + 15*c**6*d**10*x**4 + 15*c**5*d**11*x**2 + 5*c**4*d**12) + 16*d**(29/2)*sqrt(c*x**2/d + 1)/(5*c**7*d**9*x**6 + 15*c**6*d**10*x**4 + 15*c**5*d**11*x**2 + 5*c**4*d**12)) + b*(c**3*d**(9/2)*x**6*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6) - 3*c**2*d**(11/2)*x**4*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6) - 12*c*d**(13/2)*x**2*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6) - 8*d**(15/2)*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6))","B",0
981,1,267,0,7.306396," ","integrate((a+b/x**2)*x**2/(c+d/x**2)**(3/2),x)","a \left(\frac{c^{3} d^{\frac{9}{2}} x^{6} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}} - \frac{3 c^{2} d^{\frac{11}{2}} x^{4} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}} - \frac{12 c d^{\frac{13}{2}} x^{2} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}} - \frac{8 d^{\frac{15}{2}} \sqrt{\frac{c x^{2}}{d} + 1}}{3 c^{5} d^{4} x^{4} + 6 c^{4} d^{5} x^{2} + 3 c^{3} d^{6}}\right) + b \left(\frac{x^{2}}{c \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{2 \sqrt{d}}{c^{2} \sqrt{\frac{c x^{2}}{d} + 1}}\right)"," ",0,"a*(c**3*d**(9/2)*x**6*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6) - 3*c**2*d**(11/2)*x**4*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6) - 12*c*d**(13/2)*x**2*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6) - 8*d**(15/2)*sqrt(c*x**2/d + 1)/(3*c**5*d**4*x**4 + 6*c**4*d**5*x**2 + 3*c**3*d**6)) + b*(x**2/(c*sqrt(d)*sqrt(c*x**2/d + 1)) + 2*sqrt(d)/(c**2*sqrt(c*x**2/d + 1)))","B",0
982,1,65,0,7.513174," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2),x)","a \left(\frac{x^{2}}{c \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + \frac{2 \sqrt{d}}{c^{2} \sqrt{\frac{c x^{2}}{d} + 1}}\right) - \frac{b}{c \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}}"," ",0,"a*(x**2/(c*sqrt(d)*sqrt(c*x**2/d + 1)) + 2*sqrt(d)/(c**2*sqrt(c*x**2/d + 1))) - b/(c*sqrt(d)*sqrt(c*x**2/d + 1))","A",0
983,1,206,0,11.713562," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x**2,x)","- \frac{a}{c \sqrt{d} \sqrt{\frac{c x^{2}}{d} + 1}} + b \left(\frac{c d^{2} x^{2} \log{\left(\frac{c x^{2}}{d} \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} - \frac{2 c d^{2} x^{2} \log{\left(\sqrt{\frac{c x^{2}}{d} + 1} + 1 \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} + \frac{2 d^{3} \sqrt{\frac{c x^{2}}{d} + 1}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} + \frac{d^{3} \log{\left(\frac{c x^{2}}{d} \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} - \frac{2 d^{3} \log{\left(\sqrt{\frac{c x^{2}}{d} + 1} + 1 \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}}\right)"," ",0,"-a/(c*sqrt(d)*sqrt(c*x**2/d + 1)) + b*(c*d**2*x**2*log(c*x**2/d)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) - 2*c*d**2*x**2*log(sqrt(c*x**2/d + 1) + 1)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) + 2*d**3*sqrt(c*x**2/d + 1)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) + d**3*log(c*x**2/d)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) - 2*d**3*log(sqrt(c*x**2/d + 1) + 1)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)))","B",0
984,1,262,0,18.436823," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x**4,x)","a \left(\frac{c d^{2} x^{2} \log{\left(\frac{c x^{2}}{d} \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} - \frac{2 c d^{2} x^{2} \log{\left(\sqrt{\frac{c x^{2}}{d} + 1} + 1 \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} + \frac{2 d^{3} \sqrt{\frac{c x^{2}}{d} + 1}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} + \frac{d^{3} \log{\left(\frac{c x^{2}}{d} \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}} - \frac{2 d^{3} \log{\left(\sqrt{\frac{c x^{2}}{d} + 1} + 1 \right)}}{2 c d^{\frac{7}{2}} x^{2} + 2 d^{\frac{9}{2}}}\right) + b \left(- \frac{3 \sqrt{c}}{2 d^{2} x \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{3 c \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2 d^{\frac{5}{2}}} - \frac{1}{2 \sqrt{c} d x^{3} \sqrt{1 + \frac{d}{c x^{2}}}}\right)"," ",0,"a*(c*d**2*x**2*log(c*x**2/d)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) - 2*c*d**2*x**2*log(sqrt(c*x**2/d + 1) + 1)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) + 2*d**3*sqrt(c*x**2/d + 1)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) + d**3*log(c*x**2/d)/(2*c*d**(7/2)*x**2 + 2*d**(9/2)) - 2*d**3*log(sqrt(c*x**2/d + 1) + 1)/(2*c*d**(7/2)*x**2 + 2*d**(9/2))) + b*(-3*sqrt(c)/(2*d**2*x*sqrt(1 + d/(c*x**2))) + 3*c*asinh(sqrt(d)/(sqrt(c)*x))/(2*d**(5/2)) - 1/(2*sqrt(c)*d*x**3*sqrt(1 + d/(c*x**2))))","B",0
985,1,180,0,29.807217," ","integrate((a+b/x**2)/(c+d/x**2)**(3/2)/x**6,x)","a \left(- \frac{3 \sqrt{c}}{2 d^{2} x \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{3 c \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{2 d^{\frac{5}{2}}} - \frac{1}{2 \sqrt{c} d x^{3} \sqrt{1 + \frac{d}{c x^{2}}}}\right) + b \left(\frac{15 c^{\frac{3}{2}}}{8 d^{3} x \sqrt{1 + \frac{d}{c x^{2}}}} + \frac{5 \sqrt{c}}{8 d^{2} x^{3} \sqrt{1 + \frac{d}{c x^{2}}}} - \frac{15 c^{2} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{c} x} \right)}}{8 d^{\frac{7}{2}}} - \frac{1}{4 \sqrt{c} d x^{5} \sqrt{1 + \frac{d}{c x^{2}}}}\right)"," ",0,"a*(-3*sqrt(c)/(2*d**2*x*sqrt(1 + d/(c*x**2))) + 3*c*asinh(sqrt(d)/(sqrt(c)*x))/(2*d**(5/2)) - 1/(2*sqrt(c)*d*x**3*sqrt(1 + d/(c*x**2)))) + b*(15*c**(3/2)/(8*d**3*x*sqrt(1 + d/(c*x**2))) + 5*sqrt(c)/(8*d**2*x**3*sqrt(1 + d/(c*x**2))) - 15*c**2*asinh(sqrt(d)/(sqrt(c)*x))/(8*d**(7/2)) - 1/(4*sqrt(c)*d*x**5*sqrt(1 + d/(c*x**2))))","A",0
986,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*(e*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
987,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
988,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
989,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
990,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
991,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
992,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
993,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
994,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
995,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
996,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*(e*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
997,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*(e*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
998,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q*(e*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
999,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q/(e*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1000,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q/(e*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1001,-1,0,0,0.000000," ","integrate((a+b/x**2)**p*(c+d/x**2)**q/(e*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1002,0,0,0,0.000000," ","integrate(x**(5/2)*(-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2),x)","\int x^{\frac{5}{2}} \sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}\, dx"," ",0,"Integral(x**(5/2)*sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1), x)","F",0
1003,0,0,0,0.000000," ","integrate(x**(3/2)*(-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2),x)","\int x^{\frac{3}{2}} \sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}\, dx"," ",0,"Integral(x**(3/2)*sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1), x)","F",0
1004,0,0,0,0.000000," ","integrate(x**(1/2)*(-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2),x)","\int \sqrt{x} \sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}\, dx"," ",0,"Integral(sqrt(x)*sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1), x)","F",0
1005,0,0,0,0.000000," ","integrate((-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2)/x**(1/2),x)","\int \frac{\sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}{\sqrt{x}}\, dx"," ",0,"Integral(sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)/sqrt(x), x)","F",0
1006,0,0,0,0.000000," ","integrate((-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2)/x**(3/2),x)","\int \frac{\sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)/x**(3/2), x)","F",0
1007,0,0,0,0.000000," ","integrate((-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2)/x**(5/2),x)","\int \frac{\sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)/x**(5/2), x)","F",0
1008,0,0,0,0.000000," ","integrate((-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2)/x**(7/2),x)","\int \frac{\sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}{x^{\frac{7}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)/x**(7/2), x)","F",0
1009,-1,0,0,0.000000," ","integrate((-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2)/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1010,-1,0,0,0.000000," ","integrate((-1+x**(1/2))**(1/2)*(1+x**(1/2))**(1/2)/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1011,0,0,0,0.000000," ","integrate(x**(5/2)/(-1+x**(1/2))**(1/2)/(1+x**(1/2))**(1/2),x)","\int \frac{x^{\frac{5}{2}}}{\sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}\, dx"," ",0,"Integral(x**(5/2)/(sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)), x)","F",0
1012,0,0,0,0.000000," ","integrate(x**(3/2)/(-1+x**(1/2))**(1/2)/(1+x**(1/2))**(1/2),x)","\int \frac{x^{\frac{3}{2}}}{\sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}\, dx"," ",0,"Integral(x**(3/2)/(sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)), x)","F",0
1013,1,83,0,27.906855," ","integrate(x**(1/2)/(-1+x**(1/2))**(1/2)/(1+x**(1/2))**(1/2),x)","\frac{{G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{4} & - \frac{1}{2}, - \frac{1}{2}, 0, 1 \\-1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 0 &  \end{matrix} \middle| {\frac{1}{x}} \right)}}{2 \pi^{\frac{3}{2}}} - \frac{i {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 1 &  \\- \frac{5}{4}, - \frac{3}{4} & - \frac{3}{2}, -1, -1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x}} \right)}}{2 \pi^{\frac{3}{2}}}"," ",0,"meijerg(((-3/4, -1/4), (-1/2, -1/2, 0, 1)), ((-1, -3/4, -1/2, -1/4, 0, 0), ()), 1/x)/(2*pi**(3/2)) - I*meijerg(((-3/2, -5/4, -1, -3/4, -1/2, 1), ()), ((-5/4, -3/4), (-3/2, -1, -1, 0)), exp_polar(2*I*pi)/x)/(2*pi**(3/2))","C",0
1014,0,0,0,0.000000," ","integrate(1/x**(1/2)/(-1+x**(1/2))**(1/2)/(1+x**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{x} \sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}\, dx"," ",0,"Integral(1/(sqrt(x)*sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)), x)","F",0
1015,0,0,0,0.000000," ","integrate(1/x**(3/2)/(-1+x**(1/2))**(1/2)/(1+x**(1/2))**(1/2),x)","\int \frac{1}{x^{\frac{3}{2}} \sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}\, dx"," ",0,"Integral(1/(x**(3/2)*sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)), x)","F",0
1016,0,0,0,0.000000," ","integrate(1/x**(5/2)/(-1+x**(1/2))**(1/2)/(1+x**(1/2))**(1/2),x)","\int \frac{1}{x^{\frac{5}{2}} \sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}\, dx"," ",0,"Integral(1/(x**(5/2)*sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)), x)","F",0
1017,0,0,0,0.000000," ","integrate(1/x**(7/2)/(-1+x**(1/2))**(1/2)/(1+x**(1/2))**(1/2),x)","\int \frac{1}{x^{\frac{7}{2}} \sqrt{\sqrt{x} - 1} \sqrt{\sqrt{x} + 1}}\, dx"," ",0,"Integral(1/(x**(7/2)*sqrt(sqrt(x) - 1)*sqrt(sqrt(x) + 1)), x)","F",0
1018,0,0,0,0.000000," ","integrate(x**2*(-a+b*x**n)**p*(a+b*x**n)**p,x)","\int x^{2} \left(- a + b x^{n}\right)^{p} \left(a + b x^{n}\right)^{p}\, dx"," ",0,"Integral(x**2*(-a + b*x**n)**p*(a + b*x**n)**p, x)","F",0
1019,0,0,0,0.000000," ","integrate(x*(-a+b*x**n)**p*(a+b*x**n)**p,x)","\int x \left(- a + b x^{n}\right)^{p} \left(a + b x^{n}\right)^{p}\, dx"," ",0,"Integral(x*(-a + b*x**n)**p*(a + b*x**n)**p, x)","F",0
1020,0,0,0,0.000000," ","integrate((-a+b*x**n)**p*(a+b*x**n)**p,x)","\int \left(- a + b x^{n}\right)^{p} \left(a + b x^{n}\right)^{p}\, dx"," ",0,"Integral((-a + b*x**n)**p*(a + b*x**n)**p, x)","F",0
1021,0,0,0,0.000000," ","integrate((-a+b*x**n)**p*(a+b*x**n)**p/x,x)","\int \frac{\left(- a + b x^{n}\right)^{p} \left(a + b x^{n}\right)^{p}}{x}\, dx"," ",0,"Integral((-a + b*x**n)**p*(a + b*x**n)**p/x, x)","F",0
1022,0,0,0,0.000000," ","integrate((-a+b*x**n)**p*(a+b*x**n)**p/x**2,x)","\int \frac{\left(- a + b x^{n}\right)^{p} \left(a + b x^{n}\right)^{p}}{x^{2}}\, dx"," ",0,"Integral((-a + b*x**n)**p*(a + b*x**n)**p/x**2, x)","F",0
1023,1,10,0,0.121810," ","integrate((x**6+1)/x/(-x**6+1),x)","\log{\left(x \right)} - \frac{\log{\left(x^{6} - 1 \right)}}{3}"," ",0,"log(x) - log(x**6 - 1)/3","A",0
1024,1,39,0,8.425776," ","integrate((e*x)**m*(a+b*x**n)**p*(a*(1+m)+b*(n*p+m+n+1)*x**n),x)","a e^{m} x x^{m} \left(a + b x^{n}\right)^{p} + b e^{m} x x^{m} x^{n} \left(a + b x^{n}\right)^{p}"," ",0,"a*e**m*x*x**m*(a + b*x**n)**p + b*e**m*x*x**m*x**n*(a + b*x**n)**p","B",0
1025,0,0,0,0.000000," ","integrate((e*x)**m/(a+b*x**n)/(c+d*x**n),x)","\int \frac{\left(e x\right)^{m}}{\left(a + b x^{n}\right) \left(c + d x^{n}\right)}\, dx"," ",0,"Integral((e*x)**m/((a + b*x**n)*(c + d*x**n)), x)","F",0
1026,0,0,0,0.000000," ","integrate(x**2/(a+b*x**n)/(c+d*x**n),x)","\int \frac{x^{2}}{\left(a + b x^{n}\right) \left(c + d x^{n}\right)}\, dx"," ",0,"Integral(x**2/((a + b*x**n)*(c + d*x**n)), x)","F",0
1027,0,0,0,0.000000," ","integrate(x/(a+b*x**n)/(c+d*x**n),x)","\int \frac{x}{\left(a + b x^{n}\right) \left(c + d x^{n}\right)}\, dx"," ",0,"Integral(x/((a + b*x**n)*(c + d*x**n)), x)","F",0
1028,0,0,0,0.000000," ","integrate(1/(a+b*x**n)/(c+d*x**n),x)","\int \frac{1}{\left(a + b x^{n}\right) \left(c + d x^{n}\right)}\, dx"," ",0,"Integral(1/((a + b*x**n)*(c + d*x**n)), x)","F",0
1029,1,332,0,4.024686," ","integrate(1/x/(a+b*x**n)/(c+d*x**n),x)","\begin{cases} \frac{\frac{\log{\left(x \right)}}{a} - \frac{\log{\left(\frac{a}{b} + x^{n} \right)}}{a n}}{c} & \text{for}\: d = 0 \\\frac{- \frac{x^{- n}}{c n} + \frac{d \log{\left(x^{- n} + \frac{d}{c} \right)}}{c^{2} n}}{b} & \text{for}\: a = 0 \\\frac{c n \log{\left(x \right)}}{a c^{2} n + a c d n x^{n}} - \frac{c \log{\left(\frac{c}{d} + x^{n} \right)}}{a c^{2} n + a c d n x^{n}} + \frac{c}{a c^{2} n + a c d n x^{n}} + \frac{d n x^{n} \log{\left(x \right)}}{a c^{2} n + a c d n x^{n}} - \frac{d x^{n} \log{\left(\frac{c}{d} + x^{n} \right)}}{a c^{2} n + a c d n x^{n}} & \text{for}\: b = \frac{a d}{c} \\\frac{- \frac{x^{- n}}{a n} + \frac{b \log{\left(x^{- n} + \frac{b}{a} \right)}}{a^{2} n}}{d} & \text{for}\: c = 0 \\\frac{\log{\left(x \right)}}{\left(a + b\right) \left(c + d\right)} & \text{for}\: n = 0 \\\frac{\frac{\log{\left(x \right)}}{c} - \frac{\log{\left(\frac{c}{d} + x^{n} \right)}}{c n}}{a} & \text{for}\: b = 0 \\\frac{a d n \log{\left(x \right)}}{a^{2} c d n - a b c^{2} n} - \frac{a d \log{\left(\frac{c}{d} + x^{n} \right)}}{a^{2} c d n - a b c^{2} n} - \frac{b c n \log{\left(x \right)}}{a^{2} c d n - a b c^{2} n} + \frac{b c \log{\left(\frac{a}{b} + x^{n} \right)}}{a^{2} c d n - a b c^{2} n} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((log(x)/a - log(a/b + x**n)/(a*n))/c, Eq(d, 0)), ((-x**(-n)/(c*n) + d*log(x**(-n) + d/c)/(c**2*n))/b, Eq(a, 0)), (c*n*log(x)/(a*c**2*n + a*c*d*n*x**n) - c*log(c/d + x**n)/(a*c**2*n + a*c*d*n*x**n) + c/(a*c**2*n + a*c*d*n*x**n) + d*n*x**n*log(x)/(a*c**2*n + a*c*d*n*x**n) - d*x**n*log(c/d + x**n)/(a*c**2*n + a*c*d*n*x**n), Eq(b, a*d/c)), ((-x**(-n)/(a*n) + b*log(x**(-n) + b/a)/(a**2*n))/d, Eq(c, 0)), (log(x)/((a + b)*(c + d)), Eq(n, 0)), ((log(x)/c - log(c/d + x**n)/(c*n))/a, Eq(b, 0)), (a*d*n*log(x)/(a**2*c*d*n - a*b*c**2*n) - a*d*log(c/d + x**n)/(a**2*c*d*n - a*b*c**2*n) - b*c*n*log(x)/(a**2*c*d*n - a*b*c**2*n) + b*c*log(a/b + x**n)/(a**2*c*d*n - a*b*c**2*n), True))","A",0
1030,0,0,0,0.000000," ","integrate(1/x**2/(a+b*x**n)/(c+d*x**n),x)","\int \frac{1}{x^{2} \left(a + b x^{n}\right) \left(c + d x^{n}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*x**n)*(c + d*x**n)), x)","F",0
1031,-2,0,0,0.000000," ","integrate(1/x**3/(a+b*x**n)/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1032,-2,0,0,0.000000," ","integrate((e*x)**m/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1033,-2,0,0,0.000000," ","integrate(x**2/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1034,-2,0,0,0.000000," ","integrate(x/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1035,-2,0,0,0.000000," ","integrate(1/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1036,-2,0,0,0.000000," ","integrate(1/x/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1037,-2,0,0,0.000000," ","integrate(1/x**2/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1038,-2,0,0,0.000000," ","integrate(1/x**3/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1039,1,320,0,135.871668," ","integrate(x**(-1+2*n)*(a+b*x**n)**3/(c+d*x**n),x)","\begin{cases} \frac{\left(a + b\right)^{3} \log{\left(x \right)}}{c} & \text{for}\: d = 0 \wedge n = 0 \\\frac{\frac{a^{3} x^{2 n}}{2 n} + \frac{a^{2} b x^{3 n}}{n} + \frac{3 a b^{2} x^{4 n}}{4 n} + \frac{b^{3} x^{5 n}}{5 n}}{c} & \text{for}\: d = 0 \\\frac{\left(a + b\right)^{3} \log{\left(x \right)}}{c + d} & \text{for}\: n = 0 \\- \frac{a^{3} c \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{2} n} + \frac{a^{3} x^{n}}{d n} + \frac{3 a^{2} b c^{2} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{3} n} - \frac{3 a^{2} b c x^{n}}{d^{2} n} + \frac{3 a^{2} b x^{2 n}}{2 d n} - \frac{3 a b^{2} c^{3} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{4} n} + \frac{3 a b^{2} c^{2} x^{n}}{d^{3} n} - \frac{3 a b^{2} c x^{2 n}}{2 d^{2} n} + \frac{a b^{2} x^{3 n}}{d n} + \frac{b^{3} c^{4} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{5} n} - \frac{b^{3} c^{3} x^{n}}{d^{4} n} + \frac{b^{3} c^{2} x^{2 n}}{2 d^{3} n} - \frac{b^{3} c x^{3 n}}{3 d^{2} n} + \frac{b^{3} x^{4 n}}{4 d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a + b)**3*log(x)/c, Eq(d, 0) & Eq(n, 0)), ((a**3*x**(2*n)/(2*n) + a**2*b*x**(3*n)/n + 3*a*b**2*x**(4*n)/(4*n) + b**3*x**(5*n)/(5*n))/c, Eq(d, 0)), ((a + b)**3*log(x)/(c + d), Eq(n, 0)), (-a**3*c*log(c/d + x**n)/(d**2*n) + a**3*x**n/(d*n) + 3*a**2*b*c**2*log(c/d + x**n)/(d**3*n) - 3*a**2*b*c*x**n/(d**2*n) + 3*a**2*b*x**(2*n)/(2*d*n) - 3*a*b**2*c**3*log(c/d + x**n)/(d**4*n) + 3*a*b**2*c**2*x**n/(d**3*n) - 3*a*b**2*c*x**(2*n)/(2*d**2*n) + a*b**2*x**(3*n)/(d*n) + b**3*c**4*log(c/d + x**n)/(d**5*n) - b**3*c**3*x**n/(d**4*n) + b**3*c**2*x**(2*n)/(2*d**3*n) - b**3*c*x**(3*n)/(3*d**2*n) + b**3*x**(4*n)/(4*d*n), True))","A",0
1040,1,202,0,63.508153," ","integrate(x**(-1+2*n)*(a+b*x**n)**2/(c+d*x**n),x)","\begin{cases} \frac{\left(a + b\right)^{2} \log{\left(x \right)}}{c} & \text{for}\: d = 0 \wedge n = 0 \\\frac{\frac{a^{2} x^{2 n}}{2 n} + \frac{2 a b x^{3 n}}{3 n} + \frac{b^{2} x^{4 n}}{4 n}}{c} & \text{for}\: d = 0 \\\frac{\left(a + b\right)^{2} \log{\left(x \right)}}{c + d} & \text{for}\: n = 0 \\- \frac{a^{2} c \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{2} n} + \frac{a^{2} x^{n}}{d n} + \frac{2 a b c^{2} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{3} n} - \frac{2 a b c x^{n}}{d^{2} n} + \frac{a b x^{2 n}}{d n} - \frac{b^{2} c^{3} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{4} n} + \frac{b^{2} c^{2} x^{n}}{d^{3} n} - \frac{b^{2} c x^{2 n}}{2 d^{2} n} + \frac{b^{2} x^{3 n}}{3 d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a + b)**2*log(x)/c, Eq(d, 0) & Eq(n, 0)), ((a**2*x**(2*n)/(2*n) + 2*a*b*x**(3*n)/(3*n) + b**2*x**(4*n)/(4*n))/c, Eq(d, 0)), ((a + b)**2*log(x)/(c + d), Eq(n, 0)), (-a**2*c*log(c/d + x**n)/(d**2*n) + a**2*x**n/(d*n) + 2*a*b*c**2*log(c/d + x**n)/(d**3*n) - 2*a*b*c*x**n/(d**2*n) + a*b*x**(2*n)/(d*n) - b**2*c**3*log(c/d + x**n)/(d**4*n) + b**2*c**2*x**n/(d**3*n) - b**2*c*x**(2*n)/(2*d**2*n) + b**2*x**(3*n)/(3*d*n), True))","A",0
1041,1,105,0,26.971763," ","integrate(x**(-1+2*n)*(a+b*x**n)/(c+d*x**n),x)","\begin{cases} \frac{\left(a + b\right) \log{\left(x \right)}}{c} & \text{for}\: d = 0 \wedge n = 0 \\\frac{\frac{a x^{2 n}}{2 n} + \frac{b x^{3 n}}{3 n}}{c} & \text{for}\: d = 0 \\\frac{\left(a + b\right) \log{\left(x \right)}}{c + d} & \text{for}\: n = 0 \\- \frac{a c \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{2} n} + \frac{a x^{n}}{d n} + \frac{b c^{2} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{3} n} - \frac{b c x^{n}}{d^{2} n} + \frac{b x^{2 n}}{2 d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a + b)*log(x)/c, Eq(d, 0) & Eq(n, 0)), ((a*x**(2*n)/(2*n) + b*x**(3*n)/(3*n))/c, Eq(d, 0)), ((a + b)*log(x)/(c + d), Eq(n, 0)), (-a*c*log(c/d + x**n)/(d**2*n) + a*x**n/(d*n) + b*c**2*log(c/d + x**n)/(d**3*n) - b*c*x**n/(d**2*n) + b*x**(2*n)/(2*d*n), True))","A",0
1042,-2,0,0,0.000000," ","integrate(x**(-1+2*n)/(a+b*x**n)/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1043,-2,0,0,0.000000," ","integrate(x**(-1+2*n)/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1044,-2,0,0,0.000000," ","integrate(x**(-1+2*n)/(a+b*x**n)**3/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1045,-1,0,0,0.000000," ","integrate(x**(-1+3*n)*(a+b*x**n)**3/(c+d*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1046,-2,0,0,0.000000," ","integrate(x**(-1+3*n)*(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1047,1,139,0,57.944596," ","integrate(x**(-1+3*n)*(a+b*x**n)/(c+d*x**n),x)","\begin{cases} \frac{\left(a + b\right) \log{\left(x \right)}}{c} & \text{for}\: d = 0 \wedge n = 0 \\\frac{\frac{a x^{3 n}}{3 n} + \frac{b x^{4 n}}{4 n}}{c} & \text{for}\: d = 0 \\\frac{\left(a + b\right) \log{\left(x \right)}}{c + d} & \text{for}\: n = 0 \\\frac{a c^{2} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{3} n} - \frac{a c x^{n}}{d^{2} n} + \frac{a x^{2 n}}{2 d n} - \frac{b c^{3} \log{\left(\frac{c}{d} + x^{n} \right)}}{d^{4} n} + \frac{b c^{2} x^{n}}{d^{3} n} - \frac{b c x^{2 n}}{2 d^{2} n} + \frac{b x^{3 n}}{3 d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a + b)*log(x)/c, Eq(d, 0) & Eq(n, 0)), ((a*x**(3*n)/(3*n) + b*x**(4*n)/(4*n))/c, Eq(d, 0)), ((a + b)*log(x)/(c + d), Eq(n, 0)), (a*c**2*log(c/d + x**n)/(d**3*n) - a*c*x**n/(d**2*n) + a*x**(2*n)/(2*d*n) - b*c**3*log(c/d + x**n)/(d**4*n) + b*c**2*x**n/(d**3*n) - b*c*x**(2*n)/(2*d**2*n) + b*x**(3*n)/(3*d*n), True))","A",0
1048,-2,0,0,0.000000," ","integrate(x**(-1+3*n)/(a+b*x**n)/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1049,-2,0,0,0.000000," ","integrate(x**(-1+3*n)/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1050,-2,0,0,0.000000," ","integrate(x**(-1+3*n)/(a+b*x**n)**3/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
1051,1,175,0,0.115402," ","integrate(x**13*(c*x+b)**13*(2*c*x+b),x)","\frac{b^{14} x^{14}}{14} + b^{13} c x^{15} + \frac{13 b^{12} c^{2} x^{16}}{2} + 26 b^{11} c^{3} x^{17} + \frac{143 b^{10} c^{4} x^{18}}{2} + 143 b^{9} c^{5} x^{19} + \frac{429 b^{8} c^{6} x^{20}}{2} + \frac{1716 b^{7} c^{7} x^{21}}{7} + \frac{429 b^{6} c^{8} x^{22}}{2} + 143 b^{5} c^{9} x^{23} + \frac{143 b^{4} c^{10} x^{24}}{2} + 26 b^{3} c^{11} x^{25} + \frac{13 b^{2} c^{12} x^{26}}{2} + b c^{13} x^{27} + \frac{c^{14} x^{28}}{14}"," ",0,"b**14*x**14/14 + b**13*c*x**15 + 13*b**12*c**2*x**16/2 + 26*b**11*c**3*x**17 + 143*b**10*c**4*x**18/2 + 143*b**9*c**5*x**19 + 429*b**8*c**6*x**20/2 + 1716*b**7*c**7*x**21/7 + 429*b**6*c**8*x**22/2 + 143*b**5*c**9*x**23 + 143*b**4*c**10*x**24/2 + 26*b**3*c**11*x**25 + 13*b**2*c**12*x**26/2 + b*c**13*x**27 + c**14*x**28/14","B",0
1052,1,182,0,0.122059," ","integrate(x**27*(c*x**2+b)**13*(2*c*x**2+b),x)","\frac{b^{14} x^{28}}{28} + \frac{b^{13} c x^{30}}{2} + \frac{13 b^{12} c^{2} x^{32}}{4} + 13 b^{11} c^{3} x^{34} + \frac{143 b^{10} c^{4} x^{36}}{4} + \frac{143 b^{9} c^{5} x^{38}}{2} + \frac{429 b^{8} c^{6} x^{40}}{4} + \frac{858 b^{7} c^{7} x^{42}}{7} + \frac{429 b^{6} c^{8} x^{44}}{4} + \frac{143 b^{5} c^{9} x^{46}}{2} + \frac{143 b^{4} c^{10} x^{48}}{4} + 13 b^{3} c^{11} x^{50} + \frac{13 b^{2} c^{12} x^{52}}{4} + \frac{b c^{13} x^{54}}{2} + \frac{c^{14} x^{56}}{28}"," ",0,"b**14*x**28/28 + b**13*c*x**30/2 + 13*b**12*c**2*x**32/4 + 13*b**11*c**3*x**34 + 143*b**10*c**4*x**36/4 + 143*b**9*c**5*x**38/2 + 429*b**8*c**6*x**40/4 + 858*b**7*c**7*x**42/7 + 429*b**6*c**8*x**44/4 + 143*b**5*c**9*x**46/2 + 143*b**4*c**10*x**48/4 + 13*b**3*c**11*x**50 + 13*b**2*c**12*x**52/4 + b*c**13*x**54/2 + c**14*x**56/28","B",0
1053,1,185,0,0.120667," ","integrate(x**41*(c*x**3+b)**13*(2*c*x**3+b),x)","\frac{b^{14} x^{42}}{42} + \frac{b^{13} c x^{45}}{3} + \frac{13 b^{12} c^{2} x^{48}}{6} + \frac{26 b^{11} c^{3} x^{51}}{3} + \frac{143 b^{10} c^{4} x^{54}}{6} + \frac{143 b^{9} c^{5} x^{57}}{3} + \frac{143 b^{8} c^{6} x^{60}}{2} + \frac{572 b^{7} c^{7} x^{63}}{7} + \frac{143 b^{6} c^{8} x^{66}}{2} + \frac{143 b^{5} c^{9} x^{69}}{3} + \frac{143 b^{4} c^{10} x^{72}}{6} + \frac{26 b^{3} c^{11} x^{75}}{3} + \frac{13 b^{2} c^{12} x^{78}}{6} + \frac{b c^{13} x^{81}}{3} + \frac{c^{14} x^{84}}{42}"," ",0,"b**14*x**42/42 + b**13*c*x**45/3 + 13*b**12*c**2*x**48/6 + 26*b**11*c**3*x**51/3 + 143*b**10*c**4*x**54/6 + 143*b**9*c**5*x**57/3 + 143*b**8*c**6*x**60/2 + 572*b**7*c**7*x**63/7 + 143*b**6*c**8*x**66/2 + 143*b**5*c**9*x**69/3 + 143*b**4*c**10*x**72/6 + 26*b**3*c**11*x**75/3 + 13*b**2*c**12*x**78/6 + b*c**13*x**81/3 + c**14*x**84/42","B",0
1054,-1,0,0,0.000000," ","integrate(x**(-1+14*n)*(b+c*x**n)**13*(b+2*c*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1055,-1,0,0,0.000000," ","integrate(x**(-1+m)*(a+b*x**n)**(-1+p)*(a*m+b*(n*p+m)*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1056,1,8,0,0.124376," ","integrate((2*c*x+b)/x/(c*x+b),x)","\log{\left(b x + c x^{2} \right)}"," ",0,"log(b*x + c*x**2)","A",0
1057,1,12,0,0.177709," ","integrate((2*c*x**2+b)/x/(c*x**2+b),x)","\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{2} \right)}}{2}"," ",0,"log(x) + log(b/c + x**2)/2","A",0
1058,1,12,0,0.193470," ","integrate((2*c*x**3+b)/x/(c*x**3+b),x)","\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{3} \right)}}{3}"," ",0,"log(x) + log(b/c + x**3)/3","A",0
1059,1,29,0,0.619232," ","integrate((b+2*c*x**n)/x/(b+c*x**n),x)","\begin{cases} \log{\left(x \right)} & \text{for}\: c = 0 \wedge n = 0 \\\frac{\left(b + 2 c\right) \log{\left(x \right)}}{b + c} & \text{for}\: n = 0 \\\log{\left(x \right)} & \text{for}\: c = 0 \\\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{n} \right)}}{n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x), Eq(c, 0) & Eq(n, 0)), ((b + 2*c)*log(x)/(b + c), Eq(n, 0)), (log(x), Eq(c, 0)), (log(x) + log(b/c + x**n)/n, True))","A",0
1060,1,87,0,0.886184," ","integrate((2*c*x+b)/x**8/(c*x+b)**8,x)","- \frac{1}{7 b^{7} x^{7} + 49 b^{6} c x^{8} + 147 b^{5} c^{2} x^{9} + 245 b^{4} c^{3} x^{10} + 245 b^{3} c^{4} x^{11} + 147 b^{2} c^{5} x^{12} + 49 b c^{6} x^{13} + 7 c^{7} x^{14}}"," ",0,"-1/(7*b**7*x**7 + 49*b**6*c*x**8 + 147*b**5*c**2*x**9 + 245*b**4*c**3*x**10 + 245*b**3*c**4*x**11 + 147*b**2*c**5*x**12 + 49*b*c**6*x**13 + 7*c**7*x**14)","B",0
1061,1,87,0,1.355931," ","integrate((2*c*x**2+b)/x**15/(c*x**2+b)**8,x)","- \frac{1}{14 b^{7} x^{14} + 98 b^{6} c x^{16} + 294 b^{5} c^{2} x^{18} + 490 b^{4} c^{3} x^{20} + 490 b^{3} c^{4} x^{22} + 294 b^{2} c^{5} x^{24} + 98 b c^{6} x^{26} + 14 c^{7} x^{28}}"," ",0,"-1/(14*b**7*x**14 + 98*b**6*c*x**16 + 294*b**5*c**2*x**18 + 490*b**4*c**3*x**20 + 490*b**3*c**4*x**22 + 294*b**2*c**5*x**24 + 98*b*c**6*x**26 + 14*c**7*x**28)","B",0
1062,1,87,0,1.908054," ","integrate((2*c*x**3+b)/x**22/(c*x**3+b)**8,x)","- \frac{1}{21 b^{7} x^{21} + 147 b^{6} c x^{24} + 441 b^{5} c^{2} x^{27} + 735 b^{4} c^{3} x^{30} + 735 b^{3} c^{4} x^{33} + 441 b^{2} c^{5} x^{36} + 147 b c^{6} x^{39} + 21 c^{7} x^{42}}"," ",0,"-1/(21*b**7*x**21 + 147*b**6*c*x**24 + 441*b**5*c**2*x**27 + 735*b**4*c**3*x**30 + 735*b**3*c**4*x**33 + 441*b**2*c**5*x**36 + 147*b*c**6*x**39 + 21*c**7*x**42)","B",0
1063,-1,0,0,0.000000," ","integrate(x**(-1-7*n)*(b+2*c*x**n)/(b+c*x**n)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1064,-1,0,0,0.000000," ","integrate(x**31*(x**16+1)**(1/2)/(-x**16+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1065,0,0,0,0.000000," ","integrate((c+d/x)**(1/2)/x/(a+b/x)**(1/2),x)","\int \frac{\sqrt{c + \frac{d}{x}}}{x \sqrt{a + \frac{b}{x}}}\, dx"," ",0,"Integral(sqrt(c + d/x)/(x*sqrt(a + b/x)), x)","F",0
1066,-1,0,0,0.000000," ","integrate(x**(-1+2*n)*(a+b*x**n)**(5/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1067,-1,0,0,0.000000," ","integrate(x**(-1+2*n)*(a+b*x**n)**(3/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1068,0,0,0,0.000000," ","integrate(x**(-1+2*n)*(a+b*x**n)**(1/2)/(c+d*x**n)**(1/2),x)","\int \frac{x^{2 n - 1} \sqrt{a + b x^{n}}}{\sqrt{c + d x^{n}}}\, dx"," ",0,"Integral(x**(2*n - 1)*sqrt(a + b*x**n)/sqrt(c + d*x**n), x)","F",0
1069,0,0,0,0.000000," ","integrate(x**(-1+2*n)/(a+b*x**n)**(1/2)/(c+d*x**n)**(1/2),x)","\int \frac{x^{2 n - 1}}{\sqrt{a + b x^{n}} \sqrt{c + d x^{n}}}\, dx"," ",0,"Integral(x**(2*n - 1)/(sqrt(a + b*x**n)*sqrt(c + d*x**n)), x)","F",0
1070,-1,0,0,0.000000," ","integrate(x**(-1+2*n)/(a+b*x**n)**(3/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1071,-1,0,0,0.000000," ","integrate(x**(-1+2*n)/(a+b*x**n)**(5/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1072,-1,0,0,0.000000," ","integrate(x**(-1+3*n)*(a+b*x**n)**(5/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1073,-1,0,0,0.000000," ","integrate(x**(-1+3*n)*(a+b*x**n)**(3/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1074,0,0,0,0.000000," ","integrate(x**(-1+3*n)*(a+b*x**n)**(1/2)/(c+d*x**n)**(1/2),x)","\int \frac{x^{3 n - 1} \sqrt{a + b x^{n}}}{\sqrt{c + d x^{n}}}\, dx"," ",0,"Integral(x**(3*n - 1)*sqrt(a + b*x**n)/sqrt(c + d*x**n), x)","F",0
1075,0,0,0,0.000000," ","integrate(x**(-1+3*n)/(a+b*x**n)**(1/2)/(c+d*x**n)**(1/2),x)","\int \frac{x^{3 n - 1}}{\sqrt{a + b x^{n}} \sqrt{c + d x^{n}}}\, dx"," ",0,"Integral(x**(3*n - 1)/(sqrt(a + b*x**n)*sqrt(c + d*x**n)), x)","F",0
1076,-1,0,0,0.000000," ","integrate(x**(-1+3*n)/(a+b*x**n)**(3/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1077,-1,0,0,0.000000," ","integrate(x**(-1+3*n)/(a+b*x**n)**(5/2)/(c+d*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1078,1,46,0,3.098014," ","integrate(x**p*(c*x+b)**p*(2*c*x+b),x)","\begin{cases} \frac{b x x^{p} \left(b + c x\right)^{p}}{p + 1} + \frac{c x^{2} x^{p} \left(b + c x\right)^{p}}{p + 1} & \text{for}\: p \neq -1 \\\log{\left(x \right)} + \log{\left(\frac{b}{c} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*x*x**p*(b + c*x)**p/(p + 1) + c*x**2*x**p*(b + c*x)**p/(p + 1), Ne(p, -1)), (log(x) + log(b/c + x), True))","A",0
1079,-1,0,0,0.000000," ","integrate(x**(1+2*p)*(c*x**2+b)**p*(2*c*x**2+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1080,-1,0,0,0.000000," ","integrate(x**(2+3*p)*(c*x**3+b)**p*(2*c*x**3+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1081,-1,0,0,0.000000," ","integrate(x**(-1+n*(1+p))*(b+c*x**n)**p*(b+2*c*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
