1,1,20,0,0.150272," ","integrate(x**2/(-1+x)**2/(1+x)**2,x)","- \frac{x}{2 x^{2} - 2} + \frac{\log{\left(x - 1 \right)}}{4} - \frac{\log{\left(x + 1 \right)}}{4}"," ",0,"-x/(2*x**2 - 2) + log(x - 1)/4 - log(x + 1)/4","A",0
2,1,49,0,0.076451," ","integrate(x**2*(b*x+a)*(-b*c*x+a*c)**3,x)","\frac{a^{4} c^{3} x^{3}}{3} - \frac{a^{3} b c^{3} x^{4}}{2} + \frac{a b^{3} c^{3} x^{6}}{3} - \frac{b^{4} c^{3} x^{7}}{7}"," ",0,"a**4*c**3*x**3/3 - a**3*b*c**3*x**4/2 + a*b**3*c**3*x**6/3 - b**4*c**3*x**7/7","A",0
3,1,53,0,0.076405," ","integrate(x*(b*x+a)*(-b*c*x+a*c)**3,x)","\frac{a^{4} c^{3} x^{2}}{2} - \frac{2 a^{3} b c^{3} x^{3}}{3} + \frac{2 a b^{3} c^{3} x^{5}}{5} - \frac{b^{4} c^{3} x^{6}}{6}"," ",0,"a**4*c**3*x**2/2 - 2*a**3*b*c**3*x**3/3 + 2*a*b**3*c**3*x**5/5 - b**4*c**3*x**6/6","A",0
4,1,44,0,0.076566," ","integrate((b*x+a)*(-b*c*x+a*c)**3,x)","a^{4} c^{3} x - a^{3} b c^{3} x^{2} + \frac{a b^{3} c^{3} x^{4}}{2} - \frac{b^{4} c^{3} x^{5}}{5}"," ",0,"a**4*c**3*x - a**3*b*c**3*x**2 + a*b**3*c**3*x**4/2 - b**4*c**3*x**5/5","A",0
5,1,48,0,0.131218," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x,x)","a^{4} c^{3} \log{\left(x \right)} - 2 a^{3} b c^{3} x + \frac{2 a b^{3} c^{3} x^{3}}{3} - \frac{b^{4} c^{3} x^{4}}{4}"," ",0,"a**4*c**3*log(x) - 2*a**3*b*c**3*x + 2*a*b**3*c**3*x**3/3 - b**4*c**3*x**4/4","A",0
6,1,44,0,0.154725," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x**2,x)","- \frac{a^{4} c^{3}}{x} - 2 a^{3} b c^{3} \log{\left(x \right)} + a b^{3} c^{3} x^{2} - \frac{b^{4} c^{3} x^{3}}{3}"," ",0,"-a**4*c**3/x - 2*a**3*b*c**3*log(x) + a*b**3*c**3*x**2 - b**4*c**3*x**3/3","A",0
7,1,46,0,0.164532," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x**3,x)","2 a b^{3} c^{3} x - \frac{b^{4} c^{3} x^{2}}{2} - \frac{a^{4} c^{3} - 4 a^{3} b c^{3} x}{2 x^{2}}"," ",0,"2*a*b**3*c**3*x - b**4*c**3*x**2/2 - (a**4*c**3 - 4*a**3*b*c**3*x)/(2*x**2)","B",0
8,1,44,0,0.217311," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x**4,x)","2 a b^{3} c^{3} \log{\left(x \right)} - b^{4} c^{3} x - \frac{a^{4} c^{3} - 3 a^{3} b c^{3} x}{3 x^{3}}"," ",0,"2*a*b**3*c**3*log(x) - b**4*c**3*x - (a**4*c**3 - 3*a**3*b*c**3*x)/(3*x**3)","A",0
9,1,49,0,0.264862," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x**5,x)","- b^{4} c^{3} \log{\left(x \right)} - \frac{3 a^{4} c^{3} - 8 a^{3} b c^{3} x + 24 a b^{3} c^{3} x^{3}}{12 x^{4}}"," ",0,"-b**4*c**3*log(x) - (3*a**4*c**3 - 8*a**3*b*c**3*x + 24*a*b**3*c**3*x**3)/(12*x**4)","A",0
10,1,51,0,0.289656," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x**6,x)","- \frac{2 a^{4} c^{3} - 5 a^{3} b c^{3} x + 10 a b^{3} c^{3} x^{3} - 10 b^{4} c^{3} x^{4}}{10 x^{5}}"," ",0,"-(2*a**4*c**3 - 5*a**3*b*c**3*x + 10*a*b**3*c**3*x**3 - 10*b**4*c**3*x**4)/(10*x**5)","A",0
11,1,51,0,0.302294," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x**7,x)","- \frac{5 a^{4} c^{3} - 12 a^{3} b c^{3} x + 20 a b^{3} c^{3} x^{3} - 15 b^{4} c^{3} x^{4}}{30 x^{6}}"," ",0,"-(5*a**4*c**3 - 12*a**3*b*c**3*x + 20*a*b**3*c**3*x**3 - 15*b**4*c**3*x**4)/(30*x**6)","A",0
12,1,51,0,0.330966," ","integrate((b*x+a)*(-b*c*x+a*c)**3/x**8,x)","- \frac{6 a^{4} c^{3} - 14 a^{3} b c^{3} x + 21 a b^{3} c^{3} x^{3} - 14 b^{4} c^{3} x^{4}}{42 x^{7}}"," ",0,"-(6*a**4*c**3 - 14*a**3*b*c**3*x + 21*a*b**3*c**3*x**3 - 14*b**4*c**3*x**4)/(42*x**7)","A",0
13,1,82,0,0.083752," ","integrate(x**4*(b*x+a)*(-b*c*x+a*c)**4,x)","\frac{a^{5} c^{4} x^{5}}{5} - \frac{a^{4} b c^{4} x^{6}}{2} + \frac{2 a^{3} b^{2} c^{4} x^{7}}{7} + \frac{a^{2} b^{3} c^{4} x^{8}}{4} - \frac{a b^{4} c^{4} x^{9}}{3} + \frac{b^{5} c^{4} x^{10}}{10}"," ",0,"a**5*c**4*x**5/5 - a**4*b*c**4*x**6/2 + 2*a**3*b**2*c**4*x**7/7 + a**2*b**3*c**4*x**8/4 - a*b**4*c**4*x**9/3 + b**5*c**4*x**10/10","A",0
14,1,85,0,0.082804," ","integrate(x**3*(b*x+a)*(-b*c*x+a*c)**4,x)","\frac{a^{5} c^{4} x^{4}}{4} - \frac{3 a^{4} b c^{4} x^{5}}{5} + \frac{a^{3} b^{2} c^{4} x^{6}}{3} + \frac{2 a^{2} b^{3} c^{4} x^{7}}{7} - \frac{3 a b^{4} c^{4} x^{8}}{8} + \frac{b^{5} c^{4} x^{9}}{9}"," ",0,"a**5*c**4*x**4/4 - 3*a**4*b*c**4*x**5/5 + a**3*b**2*c**4*x**6/3 + 2*a**2*b**3*c**4*x**7/7 - 3*a*b**4*c**4*x**8/8 + b**5*c**4*x**9/9","A",0
15,1,85,0,0.084434," ","integrate(x**2*(b*x+a)*(-b*c*x+a*c)**4,x)","\frac{a^{5} c^{4} x^{3}}{3} - \frac{3 a^{4} b c^{4} x^{4}}{4} + \frac{2 a^{3} b^{2} c^{4} x^{5}}{5} + \frac{a^{2} b^{3} c^{4} x^{6}}{3} - \frac{3 a b^{4} c^{4} x^{7}}{7} + \frac{b^{5} c^{4} x^{8}}{8}"," ",0,"a**5*c**4*x**3/3 - 3*a**4*b*c**4*x**4/4 + 2*a**3*b**2*c**4*x**5/5 + a**2*b**3*c**4*x**6/3 - 3*a*b**4*c**4*x**7/7 + b**5*c**4*x**8/8","A",0
16,1,80,0,0.083521," ","integrate(x*(b*x+a)*(-b*c*x+a*c)**4,x)","\frac{a^{5} c^{4} x^{2}}{2} - a^{4} b c^{4} x^{3} + \frac{a^{3} b^{2} c^{4} x^{4}}{2} + \frac{2 a^{2} b^{3} c^{4} x^{5}}{5} - \frac{a b^{4} c^{4} x^{6}}{2} + \frac{b^{5} c^{4} x^{7}}{7}"," ",0,"a**5*c**4*x**2/2 - a**4*b*c**4*x**3 + a**3*b**2*c**4*x**4/2 + 2*a**2*b**3*c**4*x**5/5 - a*b**4*c**4*x**6/2 + b**5*c**4*x**7/7","A",0
17,1,82,0,0.083546," ","integrate((b*x+a)*(-b*c*x+a*c)**4,x)","a^{5} c^{4} x - \frac{3 a^{4} b c^{4} x^{2}}{2} + \frac{2 a^{3} b^{2} c^{4} x^{3}}{3} + \frac{a^{2} b^{3} c^{4} x^{4}}{2} - \frac{3 a b^{4} c^{4} x^{5}}{5} + \frac{b^{5} c^{4} x^{6}}{6}"," ",0,"a**5*c**4*x - 3*a**4*b*c**4*x**2/2 + 2*a**3*b**2*c**4*x**3/3 + a**2*b**3*c**4*x**4/2 - 3*a*b**4*c**4*x**5/5 + b**5*c**4*x**6/6","B",0
18,1,78,0,0.156909," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x,x)","a^{5} c^{4} \log{\left(x \right)} - 3 a^{4} b c^{4} x + a^{3} b^{2} c^{4} x^{2} + \frac{2 a^{2} b^{3} c^{4} x^{3}}{3} - \frac{3 a b^{4} c^{4} x^{4}}{4} + \frac{b^{5} c^{4} x^{5}}{5}"," ",0,"a**5*c**4*log(x) - 3*a**4*b*c**4*x + a**3*b**2*c**4*x**2 + 2*a**2*b**3*c**4*x**3/3 - 3*a*b**4*c**4*x**4/4 + b**5*c**4*x**5/5","A",0
19,1,71,0,0.177409," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**2,x)","- \frac{a^{5} c^{4}}{x} - 3 a^{4} b c^{4} \log{\left(x \right)} + 2 a^{3} b^{2} c^{4} x + a^{2} b^{3} c^{4} x^{2} - a b^{4} c^{4} x^{3} + \frac{b^{5} c^{4} x^{4}}{4}"," ",0,"-a**5*c**4/x - 3*a**4*b*c**4*log(x) + 2*a**3*b**2*c**4*x + a**2*b**3*c**4*x**2 - a*b**4*c**4*x**3 + b**5*c**4*x**4/4","A",0
20,1,78,0,0.218912," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**3,x)","2 a^{3} b^{2} c^{4} \log{\left(x \right)} + 2 a^{2} b^{3} c^{4} x - \frac{3 a b^{4} c^{4} x^{2}}{2} + \frac{b^{5} c^{4} x^{3}}{3} + \frac{- a^{5} c^{4} + 6 a^{4} b c^{4} x}{2 x^{2}}"," ",0,"2*a**3*b**2*c**4*log(x) + 2*a**2*b**3*c**4*x - 3*a*b**4*c**4*x**2/2 + b**5*c**4*x**3/3 + (-a**5*c**4 + 6*a**4*b*c**4*x)/(2*x**2)","A",0
21,1,78,0,0.269987," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**4,x)","2 a^{2} b^{3} c^{4} \log{\left(x \right)} - 3 a b^{4} c^{4} x + \frac{b^{5} c^{4} x^{2}}{2} + \frac{- 2 a^{5} c^{4} + 9 a^{4} b c^{4} x - 12 a^{3} b^{2} c^{4} x^{2}}{6 x^{3}}"," ",0,"2*a**2*b**3*c**4*log(x) - 3*a*b**4*c**4*x + b**5*c**4*x**2/2 + (-2*a**5*c**4 + 9*a**4*b*c**4*x - 12*a**3*b**2*c**4*x**2)/(6*x**3)","A",0
22,1,75,0,0.324928," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**5,x)","- 3 a b^{4} c^{4} \log{\left(x \right)} + b^{5} c^{4} x + \frac{- a^{5} c^{4} + 4 a^{4} b c^{4} x - 4 a^{3} b^{2} c^{4} x^{2} - 8 a^{2} b^{3} c^{4} x^{3}}{4 x^{4}}"," ",0,"-3*a*b**4*c**4*log(x) + b**5*c**4*x + (-a**5*c**4 + 4*a**4*b*c**4*x - 4*a**3*b**2*c**4*x**2 - 8*a**2*b**3*c**4*x**3)/(4*x**4)","A",0
23,1,78,0,0.393294," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**6,x)","b^{5} c^{4} \log{\left(x \right)} + \frac{- 12 a^{5} c^{4} + 45 a^{4} b c^{4} x - 40 a^{3} b^{2} c^{4} x^{2} - 60 a^{2} b^{3} c^{4} x^{3} + 180 a b^{4} c^{4} x^{4}}{60 x^{5}}"," ",0,"b**5*c**4*log(x) + (-12*a**5*c**4 + 45*a**4*b*c**4*x - 40*a**3*b**2*c**4*x**2 - 60*a**2*b**3*c**4*x**3 + 180*a*b**4*c**4*x**4)/(60*x**5)","A",0
24,1,80,0,0.409809," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**7,x)","\frac{- 5 a^{5} c^{4} + 18 a^{4} b c^{4} x - 15 a^{3} b^{2} c^{4} x^{2} - 20 a^{2} b^{3} c^{4} x^{3} + 45 a b^{4} c^{4} x^{4} - 30 b^{5} c^{4} x^{5}}{30 x^{6}}"," ",0,"(-5*a**5*c**4 + 18*a**4*b*c**4*x - 15*a**3*b**2*c**4*x**2 - 20*a**2*b**3*c**4*x**3 + 45*a*b**4*c**4*x**4 - 30*b**5*c**4*x**5)/(30*x**6)","B",0
25,1,80,0,0.442298," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**8,x)","\frac{- 10 a^{5} c^{4} + 35 a^{4} b c^{4} x - 28 a^{3} b^{2} c^{4} x^{2} - 35 a^{2} b^{3} c^{4} x^{3} + 70 a b^{4} c^{4} x^{4} - 35 b^{5} c^{4} x^{5}}{70 x^{7}}"," ",0,"(-10*a**5*c**4 + 35*a**4*b*c**4*x - 28*a**3*b**2*c**4*x**2 - 35*a**2*b**3*c**4*x**3 + 70*a*b**4*c**4*x**4 - 35*b**5*c**4*x**5)/(70*x**7)","A",0
26,1,80,0,0.460782," ","integrate((b*x+a)*(-b*c*x+a*c)**4/x**9,x)","\frac{- 105 a^{5} c^{4} + 360 a^{4} b c^{4} x - 280 a^{3} b^{2} c^{4} x^{2} - 336 a^{2} b^{3} c^{4} x^{3} + 630 a b^{4} c^{4} x^{4} - 280 b^{5} c^{4} x^{5}}{840 x^{8}}"," ",0,"(-105*a**5*c**4 + 360*a**4*b*c**4*x - 280*a**3*b**2*c**4*x**2 - 336*a**2*b**3*c**4*x**3 + 630*a*b**4*c**4*x**4 - 280*b**5*c**4*x**5)/(840*x**8)","A",0
27,1,87,0,0.087102," ","integrate(x**4*(b*x+a)*(-b*c*x+a*c)**5,x)","\frac{a^{6} c^{5} x^{5}}{5} - \frac{2 a^{5} b c^{5} x^{6}}{3} + \frac{5 a^{4} b^{2} c^{5} x^{7}}{7} - \frac{5 a^{2} b^{4} c^{5} x^{9}}{9} + \frac{2 a b^{5} c^{5} x^{10}}{5} - \frac{b^{6} c^{5} x^{11}}{11}"," ",0,"a**6*c**5*x**5/5 - 2*a**5*b*c**5*x**6/3 + 5*a**4*b**2*c**5*x**7/7 - 5*a**2*b**4*c**5*x**9/9 + 2*a*b**5*c**5*x**10/5 - b**6*c**5*x**11/11","A",0
28,1,87,0,0.085655," ","integrate(x**3*(b*x+a)*(-b*c*x+a*c)**5,x)","\frac{a^{6} c^{5} x^{4}}{4} - \frac{4 a^{5} b c^{5} x^{5}}{5} + \frac{5 a^{4} b^{2} c^{5} x^{6}}{6} - \frac{5 a^{2} b^{4} c^{5} x^{8}}{8} + \frac{4 a b^{5} c^{5} x^{9}}{9} - \frac{b^{6} c^{5} x^{10}}{10}"," ",0,"a**6*c**5*x**4/4 - 4*a**5*b*c**5*x**5/5 + 5*a**4*b**2*c**5*x**6/6 - 5*a**2*b**4*c**5*x**8/8 + 4*a*b**5*c**5*x**9/9 - b**6*c**5*x**10/10","A",0
29,1,78,0,0.085644," ","integrate(x**2*(b*x+a)*(-b*c*x+a*c)**5,x)","\frac{a^{6} c^{5} x^{3}}{3} - a^{5} b c^{5} x^{4} + a^{4} b^{2} c^{5} x^{5} - \frac{5 a^{2} b^{4} c^{5} x^{7}}{7} + \frac{a b^{5} c^{5} x^{8}}{2} - \frac{b^{6} c^{5} x^{9}}{9}"," ",0,"a**6*c**5*x**3/3 - a**5*b*c**5*x**4 + a**4*b**2*c**5*x**5 - 5*a**2*b**4*c**5*x**7/7 + a*b**5*c**5*x**8/2 - b**6*c**5*x**9/9","A",0
30,1,87,0,0.084971," ","integrate(x*(b*x+a)*(-b*c*x+a*c)**5,x)","\frac{a^{6} c^{5} x^{2}}{2} - \frac{4 a^{5} b c^{5} x^{3}}{3} + \frac{5 a^{4} b^{2} c^{5} x^{4}}{4} - \frac{5 a^{2} b^{4} c^{5} x^{6}}{6} + \frac{4 a b^{5} c^{5} x^{7}}{7} - \frac{b^{6} c^{5} x^{8}}{8}"," ",0,"a**6*c**5*x**2/2 - 4*a**5*b*c**5*x**3/3 + 5*a**4*b**2*c**5*x**4/4 - 5*a**2*b**4*c**5*x**6/6 + 4*a*b**5*c**5*x**7/7 - b**6*c**5*x**8/8","A",0
31,1,78,0,0.085253," ","integrate((b*x+a)*(-b*c*x+a*c)**5,x)","a^{6} c^{5} x - 2 a^{5} b c^{5} x^{2} + \frac{5 a^{4} b^{2} c^{5} x^{3}}{3} - a^{2} b^{4} c^{5} x^{5} + \frac{2 a b^{5} c^{5} x^{6}}{3} - \frac{b^{6} c^{5} x^{7}}{7}"," ",0,"a**6*c**5*x - 2*a**5*b*c**5*x**2 + 5*a**4*b**2*c**5*x**3/3 - a**2*b**4*c**5*x**5 + 2*a*b**5*c**5*x**6/3 - b**6*c**5*x**7/7","B",0
32,1,82,0,0.162083," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x,x)","a^{6} c^{5} \log{\left(x \right)} - 4 a^{5} b c^{5} x + \frac{5 a^{4} b^{2} c^{5} x^{2}}{2} - \frac{5 a^{2} b^{4} c^{5} x^{4}}{4} + \frac{4 a b^{5} c^{5} x^{5}}{5} - \frac{b^{6} c^{5} x^{6}}{6}"," ",0,"a**6*c**5*log(x) - 4*a**5*b*c**5*x + 5*a**4*b**2*c**5*x**2/2 - 5*a**2*b**4*c**5*x**4/4 + 4*a*b**5*c**5*x**5/5 - b**6*c**5*x**6/6","A",0
33,1,75,0,0.189079," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**2,x)","- \frac{a^{6} c^{5}}{x} - 4 a^{5} b c^{5} \log{\left(x \right)} + 5 a^{4} b^{2} c^{5} x - \frac{5 a^{2} b^{4} c^{5} x^{3}}{3} + a b^{5} c^{5} x^{4} - \frac{b^{6} c^{5} x^{5}}{5}"," ",0,"-a**6*c**5/x - 4*a**5*b*c**5*log(x) + 5*a**4*b**2*c**5*x - 5*a**2*b**4*c**5*x**3/3 + a*b**5*c**5*x**4 - b**6*c**5*x**5/5","A",0
34,1,82,0,0.226195," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**3,x)","5 a^{4} b^{2} c^{5} \log{\left(x \right)} - \frac{5 a^{2} b^{4} c^{5} x^{2}}{2} + \frac{4 a b^{5} c^{5} x^{3}}{3} - \frac{b^{6} c^{5} x^{4}}{4} - \frac{a^{6} c^{5} - 8 a^{5} b c^{5} x}{2 x^{2}}"," ",0,"5*a**4*b**2*c**5*log(x) - 5*a**2*b**4*c**5*x**2/2 + 4*a*b**5*c**5*x**3/3 - b**6*c**5*x**4/4 - (a**6*c**5 - 8*a**5*b*c**5*x)/(2*x**2)","A",0
35,1,76,0,0.238463," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**4,x)","- 5 a^{2} b^{4} c^{5} x + 2 a b^{5} c^{5} x^{2} - \frac{b^{6} c^{5} x^{3}}{3} - \frac{a^{6} c^{5} - 6 a^{5} b c^{5} x + 15 a^{4} b^{2} c^{5} x^{2}}{3 x^{3}}"," ",0,"-5*a**2*b**4*c**5*x + 2*a*b**5*c**5*x**2 - b**6*c**5*x**3/3 - (a**6*c**5 - 6*a**5*b*c**5*x + 15*a**4*b**2*c**5*x**2)/(3*x**3)","B",0
36,1,78,0,0.302794," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**5,x)","- 5 a^{2} b^{4} c^{5} \log{\left(x \right)} + 4 a b^{5} c^{5} x - \frac{b^{6} c^{5} x^{2}}{2} - \frac{3 a^{6} c^{5} - 16 a^{5} b c^{5} x + 30 a^{4} b^{2} c^{5} x^{2}}{12 x^{4}}"," ",0,"-5*a**2*b**4*c**5*log(x) + 4*a*b**5*c**5*x - b**6*c**5*x**2/2 - (3*a**6*c**5 - 16*a**5*b*c**5*x + 30*a**4*b**2*c**5*x**2)/(12*x**4)","A",0
37,1,76,0,0.361714," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**6,x)","4 a b^{5} c^{5} \log{\left(x \right)} - b^{6} c^{5} x - \frac{3 a^{6} c^{5} - 15 a^{5} b c^{5} x + 25 a^{4} b^{2} c^{5} x^{2} - 75 a^{2} b^{4} c^{5} x^{4}}{15 x^{5}}"," ",0,"4*a*b**5*c**5*log(x) - b**6*c**5*x - (3*a**6*c**5 - 15*a**5*b*c**5*x + 25*a**4*b**2*c**5*x**2 - 75*a**2*b**4*c**5*x**4)/(15*x**5)","A",0
38,1,80,0,0.434730," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**7,x)","- b^{6} c^{5} \log{\left(x \right)} - \frac{10 a^{6} c^{5} - 48 a^{5} b c^{5} x + 75 a^{4} b^{2} c^{5} x^{2} - 150 a^{2} b^{4} c^{5} x^{4} + 240 a b^{5} c^{5} x^{5}}{60 x^{6}}"," ",0,"-b**6*c**5*log(x) - (10*a**6*c**5 - 48*a**5*b*c**5*x + 75*a**4*b**2*c**5*x**2 - 150*a**2*b**4*c**5*x**4 + 240*a*b**5*c**5*x**5)/(60*x**6)","A",0
39,1,82,0,0.459525," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**8,x)","- \frac{3 a^{6} c^{5} - 14 a^{5} b c^{5} x + 21 a^{4} b^{2} c^{5} x^{2} - 35 a^{2} b^{4} c^{5} x^{4} + 42 a b^{5} c^{5} x^{5} - 21 b^{6} c^{5} x^{6}}{21 x^{7}}"," ",0,"-(3*a**6*c**5 - 14*a**5*b*c**5*x + 21*a**4*b**2*c**5*x**2 - 35*a**2*b**4*c**5*x**4 + 42*a*b**5*c**5*x**5 - 21*b**6*c**5*x**6)/(21*x**7)","B",0
40,1,82,0,0.493363," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**9,x)","- \frac{21 a^{6} c^{5} - 96 a^{5} b c^{5} x + 140 a^{4} b^{2} c^{5} x^{2} - 210 a^{2} b^{4} c^{5} x^{4} + 224 a b^{5} c^{5} x^{5} - 84 b^{6} c^{5} x^{6}}{168 x^{8}}"," ",0,"-(21*a**6*c**5 - 96*a**5*b*c**5*x + 140*a**4*b**2*c**5*x**2 - 210*a**2*b**4*c**5*x**4 + 224*a*b**5*c**5*x**5 - 84*b**6*c**5*x**6)/(168*x**8)","A",0
41,1,82,0,0.520674," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**10,x)","- \frac{14 a^{6} c^{5} - 63 a^{5} b c^{5} x + 90 a^{4} b^{2} c^{5} x^{2} - 126 a^{2} b^{4} c^{5} x^{4} + 126 a b^{5} c^{5} x^{5} - 42 b^{6} c^{5} x^{6}}{126 x^{9}}"," ",0,"-(14*a**6*c**5 - 63*a**5*b*c**5*x + 90*a**4*b**2*c**5*x**2 - 126*a**2*b**4*c**5*x**4 + 126*a*b**5*c**5*x**5 - 42*b**6*c**5*x**6)/(126*x**9)","A",0
42,1,82,0,0.556435," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**11,x)","- \frac{36 a^{6} c^{5} - 160 a^{5} b c^{5} x + 225 a^{4} b^{2} c^{5} x^{2} - 300 a^{2} b^{4} c^{5} x^{4} + 288 a b^{5} c^{5} x^{5} - 90 b^{6} c^{5} x^{6}}{360 x^{10}}"," ",0,"-(36*a**6*c**5 - 160*a**5*b*c**5*x + 225*a**4*b**2*c**5*x**2 - 300*a**2*b**4*c**5*x**4 + 288*a*b**5*c**5*x**5 - 90*b**6*c**5*x**6)/(360*x**10)","A",0
43,1,82,0,0.581202," ","integrate((b*x+a)*(-b*c*x+a*c)**5/x**12,x)","- \frac{315 a^{6} c^{5} - 1386 a^{5} b c^{5} x + 1925 a^{4} b^{2} c^{5} x^{2} - 2475 a^{2} b^{4} c^{5} x^{4} + 2310 a b^{5} c^{5} x^{5} - 693 b^{6} c^{5} x^{6}}{3465 x^{11}}"," ",0,"-(315*a**6*c**5 - 1386*a**5*b*c**5*x + 1925*a**4*b**2*c**5*x**2 - 2475*a**2*b**4*c**5*x**4 + 2310*a*b**5*c**5*x**5 - 693*b**6*c**5*x**6)/(3465*x**11)","A",0
44,1,109,0,0.570622," ","integrate((b*x+a)*(-b*c*x+a*c)**6/x**8,x)","b^{7} c^{6} \log{\left(x \right)} + \frac{- 60 a^{7} c^{6} + 350 a^{6} b c^{6} x - 756 a^{5} b^{2} c^{6} x^{2} + 525 a^{4} b^{3} c^{6} x^{3} + 700 a^{3} b^{4} c^{6} x^{4} - 1890 a^{2} b^{5} c^{6} x^{5} + 2100 a b^{6} c^{6} x^{6}}{420 x^{7}}"," ",0,"b**7*c**6*log(x) + (-60*a**7*c**6 + 350*a**6*b*c**6*x - 756*a**5*b**2*c**6*x**2 + 525*a**4*b**3*c**6*x**3 + 700*a**3*b**4*c**6*x**4 - 1890*a**2*b**5*c**6*x**5 + 2100*a*b**6*c**6*x**6)/(420*x**7)","A",0
45,1,110,0,0.622000," ","integrate((b*x+a)*(-b*c*x+a*c)**6/x**9,x)","\frac{- 7 a^{7} c^{6} + 40 a^{6} b c^{6} x - 84 a^{5} b^{2} c^{6} x^{2} + 56 a^{4} b^{3} c^{6} x^{3} + 70 a^{3} b^{4} c^{6} x^{4} - 168 a^{2} b^{5} c^{6} x^{5} + 140 a b^{6} c^{6} x^{6} - 56 b^{7} c^{6} x^{7}}{56 x^{8}}"," ",0,"(-7*a**7*c**6 + 40*a**6*b*c**6*x - 84*a**5*b**2*c**6*x**2 + 56*a**4*b**3*c**6*x**3 + 70*a**3*b**4*c**6*x**4 - 168*a**2*b**5*c**6*x**5 + 140*a*b**6*c**6*x**6 - 56*b**7*c**6*x**7)/(56*x**8)","B",0
46,1,110,0,0.638954," ","integrate((b*x+a)*(-b*c*x+a*c)**6/x**10,x)","\frac{- 56 a^{7} c^{6} + 315 a^{6} b c^{6} x - 648 a^{5} b^{2} c^{6} x^{2} + 420 a^{4} b^{3} c^{6} x^{3} + 504 a^{3} b^{4} c^{6} x^{4} - 1134 a^{2} b^{5} c^{6} x^{5} + 840 a b^{6} c^{6} x^{6} - 252 b^{7} c^{6} x^{7}}{504 x^{9}}"," ",0,"(-56*a**7*c**6 + 315*a**6*b*c**6*x - 648*a**5*b**2*c**6*x**2 + 420*a**4*b**3*c**6*x**3 + 504*a**3*b**4*c**6*x**4 - 1134*a**2*b**5*c**6*x**5 + 840*a*b**6*c**6*x**6 - 252*b**7*c**6*x**7)/(504*x**9)","A",0
47,1,110,0,0.697839," ","integrate((b*x+a)*(-b*c*x+a*c)**6/x**11,x)","\frac{- 252 a^{7} c^{6} + 1400 a^{6} b c^{6} x - 2835 a^{5} b^{2} c^{6} x^{2} + 1800 a^{4} b^{3} c^{6} x^{3} + 2100 a^{3} b^{4} c^{6} x^{4} - 4536 a^{2} b^{5} c^{6} x^{5} + 3150 a b^{6} c^{6} x^{6} - 840 b^{7} c^{6} x^{7}}{2520 x^{10}}"," ",0,"(-252*a**7*c**6 + 1400*a**6*b*c**6*x - 2835*a**5*b**2*c**6*x**2 + 1800*a**4*b**3*c**6*x**3 + 2100*a**3*b**4*c**6*x**4 - 4536*a**2*b**5*c**6*x**5 + 3150*a*b**6*c**6*x**6 - 840*b**7*c**6*x**7)/(2520*x**10)","A",0
48,1,110,0,0.799682," ","integrate((b*x+a)*(-b*c*x+a*c)**6/x**12,x)","\frac{- 56 a^{7} c^{6} + 308 a^{6} b c^{6} x - 616 a^{5} b^{2} c^{6} x^{2} + 385 a^{4} b^{3} c^{6} x^{3} + 440 a^{3} b^{4} c^{6} x^{4} - 924 a^{2} b^{5} c^{6} x^{5} + 616 a b^{6} c^{6} x^{6} - 154 b^{7} c^{6} x^{7}}{616 x^{11}}"," ",0,"(-56*a**7*c**6 + 308*a**6*b*c**6*x - 616*a**5*b**2*c**6*x**2 + 385*a**4*b**3*c**6*x**3 + 440*a**3*b**4*c**6*x**4 - 924*a**2*b**5*c**6*x**5 + 616*a*b**6*c**6*x**6 - 154*b**7*c**6*x**7)/(616*x**11)","A",0
49,1,110,0,0.769601," ","integrate((b*x+a)*(-b*c*x+a*c)**6/x**13,x)","\frac{- 2310 a^{7} c^{6} + 12600 a^{6} b c^{6} x - 24948 a^{5} b^{2} c^{6} x^{2} + 15400 a^{4} b^{3} c^{6} x^{3} + 17325 a^{3} b^{4} c^{6} x^{4} - 35640 a^{2} b^{5} c^{6} x^{5} + 23100 a b^{6} c^{6} x^{6} - 5544 b^{7} c^{6} x^{7}}{27720 x^{12}}"," ",0,"(-2310*a**7*c**6 + 12600*a**6*b*c**6*x - 24948*a**5*b**2*c**6*x**2 + 15400*a**4*b**3*c**6*x**3 + 17325*a**3*b**4*c**6*x**4 - 35640*a**2*b**5*c**6*x**5 + 23100*a*b**6*c**6*x**6 - 5544*b**7*c**6*x**7)/(27720*x**12)","A",0
50,-1,0,0,0.000000," ","integrate((e*x)**(5/2)/(b*x+a)/(-b*c*x+a*c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,1,1052,0,4.711785," ","integrate((e*x)**(3/2)/(b*x+a)/(-b*c*x+a*c),x)","\begin{cases} - \frac{12 a^{\frac{5}{2}} b^{\frac{13}{2}} e^{\frac{3}{2}} x^{7}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{10 a^{\frac{3}{2}} b^{\frac{15}{2}} e^{\frac{3}{2}} x^{8}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{2 \sqrt{a} b^{\frac{17}{2}} e^{\frac{3}{2}} x^{9}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{6 a^{3} b^{6} e^{\frac{3}{2}} x^{\frac{13}{2}} \operatorname{acoth}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} - \frac{6 a^{3} b^{6} e^{\frac{3}{2}} x^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{3 i \pi a^{3} b^{6} e^{\frac{3}{2}} x^{\frac{13}{2}}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} - \frac{6 a^{2} b^{7} e^{\frac{3}{2}} x^{\frac{15}{2}} \operatorname{acoth}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{6 a^{2} b^{7} e^{\frac{3}{2}} x^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} - \frac{3 i \pi a^{2} b^{7} e^{\frac{3}{2}} x^{\frac{15}{2}}}{6 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 6 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} & \text{for}\: \left|{\frac{a}{b x}}\right| > 1 \\- \frac{6 a^{\frac{5}{2}} b^{\frac{13}{2}} e^{\frac{3}{2}} x^{7}}{3 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 3 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{5 a^{\frac{3}{2}} b^{\frac{15}{2}} e^{\frac{3}{2}} x^{8}}{3 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 3 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{\sqrt{a} b^{\frac{17}{2}} e^{\frac{3}{2}} x^{9}}{3 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 3 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} - \frac{3 a^{3} b^{6} e^{\frac{3}{2}} x^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{3 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 3 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{3 a^{3} b^{6} e^{\frac{3}{2}} x^{\frac{13}{2}} \operatorname{atanh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{3 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 3 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} + \frac{3 a^{2} b^{7} e^{\frac{3}{2}} x^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{3 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 3 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} - \frac{3 a^{2} b^{7} e^{\frac{3}{2}} x^{\frac{15}{2}} \operatorname{atanh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{3 a^{\frac{5}{2}} b^{\frac{17}{2}} c x^{\frac{13}{2}} - 3 a^{\frac{3}{2}} b^{\frac{19}{2}} c x^{\frac{15}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-12*a**(5/2)*b**(13/2)*e**(3/2)*x**7/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) + 10*a**(3/2)*b**(15/2)*e**(3/2)*x**8/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) + 2*sqrt(a)*b**(17/2)*e**(3/2)*x**9/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) + 6*a**3*b**6*e**(3/2)*x**(13/2)*acoth(sqrt(a)/(sqrt(b)*sqrt(x)))/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) - 6*a**3*b**6*e**(3/2)*x**(13/2)*atan(sqrt(a)/(sqrt(b)*sqrt(x)))/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) + 3*I*pi*a**3*b**6*e**(3/2)*x**(13/2)/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) - 6*a**2*b**7*e**(3/2)*x**(15/2)*acoth(sqrt(a)/(sqrt(b)*sqrt(x)))/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) + 6*a**2*b**7*e**(3/2)*x**(15/2)*atan(sqrt(a)/(sqrt(b)*sqrt(x)))/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)) - 3*I*pi*a**2*b**7*e**(3/2)*x**(15/2)/(6*a**(5/2)*b**(17/2)*c*x**(13/2) - 6*a**(3/2)*b**(19/2)*c*x**(15/2)), Abs(a/(b*x)) > 1), (-6*a**(5/2)*b**(13/2)*e**(3/2)*x**7/(3*a**(5/2)*b**(17/2)*c*x**(13/2) - 3*a**(3/2)*b**(19/2)*c*x**(15/2)) + 5*a**(3/2)*b**(15/2)*e**(3/2)*x**8/(3*a**(5/2)*b**(17/2)*c*x**(13/2) - 3*a**(3/2)*b**(19/2)*c*x**(15/2)) + sqrt(a)*b**(17/2)*e**(3/2)*x**9/(3*a**(5/2)*b**(17/2)*c*x**(13/2) - 3*a**(3/2)*b**(19/2)*c*x**(15/2)) - 3*a**3*b**6*e**(3/2)*x**(13/2)*atan(sqrt(a)/(sqrt(b)*sqrt(x)))/(3*a**(5/2)*b**(17/2)*c*x**(13/2) - 3*a**(3/2)*b**(19/2)*c*x**(15/2)) + 3*a**3*b**6*e**(3/2)*x**(13/2)*atanh(sqrt(a)/(sqrt(b)*sqrt(x)))/(3*a**(5/2)*b**(17/2)*c*x**(13/2) - 3*a**(3/2)*b**(19/2)*c*x**(15/2)) + 3*a**2*b**7*e**(3/2)*x**(15/2)*atan(sqrt(a)/(sqrt(b)*sqrt(x)))/(3*a**(5/2)*b**(17/2)*c*x**(13/2) - 3*a**(3/2)*b**(19/2)*c*x**(15/2)) - 3*a**2*b**7*e**(3/2)*x**(15/2)*atanh(sqrt(a)/(sqrt(b)*sqrt(x)))/(3*a**(5/2)*b**(17/2)*c*x**(13/2) - 3*a**(3/2)*b**(19/2)*c*x**(15/2)), True))","B",0
52,1,170,0,2.389423," ","integrate((e*x)**(1/2)/(b*x+a)/(-b*c*x+a*c),x)","\begin{cases} - \frac{\sqrt{e} \sqrt{x}}{a b c} + \frac{\sqrt{e} \operatorname{acoth}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{\sqrt{a} b^{\frac{3}{2}} c} + \frac{\sqrt{e} \operatorname{atan}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{\sqrt{a} b^{\frac{3}{2}} c} & \text{for}\: \left|{\frac{a}{b x}}\right| > 1 \\- \frac{\sqrt{e} \sqrt{x}}{a b c} + \frac{\sqrt{e} \operatorname{atan}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{\sqrt{a} b^{\frac{3}{2}} c} + \frac{\sqrt{e} \operatorname{atanh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{\sqrt{a} b^{\frac{3}{2}} c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(e)*sqrt(x)/(a*b*c) + sqrt(e)*acoth(sqrt(a)/(sqrt(b)*sqrt(x)))/(sqrt(a)*b**(3/2)*c) + sqrt(e)*atan(sqrt(a)/(sqrt(b)*sqrt(x)))/(sqrt(a)*b**(3/2)*c), Abs(a/(b*x)) > 1), (-sqrt(e)*sqrt(x)/(a*b*c) + sqrt(e)*atan(sqrt(a)/(sqrt(b)*sqrt(x)))/(sqrt(a)*b**(3/2)*c) + sqrt(e)*atanh(sqrt(a)/(sqrt(b)*sqrt(x)))/(sqrt(a)*b**(3/2)*c), True))","A",0
53,1,291,0,2.659388," ","integrate(1/(e*x)**(1/2)/(b*x+a)/(-b*c*x+a*c),x)","\begin{cases} \frac{1}{a b c \sqrt{e} \sqrt{x}} + \frac{\operatorname{acoth}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{a^{\frac{3}{2}} \sqrt{b} c \sqrt{e}} + \frac{\operatorname{atan}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{a^{\frac{3}{2}} \sqrt{b} c \sqrt{e}} & \text{for}\: \left|{\frac{b x}{a}}\right| > 1 \\\frac{1 - i}{2 a b c \sqrt{e} \sqrt{x}} + \frac{i \left(1 - i\right)}{2 a b c \sqrt{e} \sqrt{x}} + \frac{\left(1 - i\right) \operatorname{atan}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{2 a^{\frac{3}{2}} \sqrt{b} c \sqrt{e}} + \frac{i \left(1 - i\right) \operatorname{atan}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{2 a^{\frac{3}{2}} \sqrt{b} c \sqrt{e}} + \frac{\left(1 - i\right) \operatorname{atanh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{2 a^{\frac{3}{2}} \sqrt{b} c \sqrt{e}} + \frac{i \left(1 - i\right) \operatorname{atanh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{2 a^{\frac{3}{2}} \sqrt{b} c \sqrt{e}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((1/(a*b*c*sqrt(e)*sqrt(x)) + acoth(sqrt(b)*sqrt(x)/sqrt(a))/(a**(3/2)*sqrt(b)*c*sqrt(e)) + atan(sqrt(b)*sqrt(x)/sqrt(a))/(a**(3/2)*sqrt(b)*c*sqrt(e)), Abs(b*x/a) > 1), ((1 - I)/(2*a*b*c*sqrt(e)*sqrt(x)) + I*(1 - I)/(2*a*b*c*sqrt(e)*sqrt(x)) + (1 - I)*atan(sqrt(b)*sqrt(x)/sqrt(a))/(2*a**(3/2)*sqrt(b)*c*sqrt(e)) + I*(1 - I)*atan(sqrt(b)*sqrt(x)/sqrt(a))/(2*a**(3/2)*sqrt(b)*c*sqrt(e)) + (1 - I)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(2*a**(3/2)*sqrt(b)*c*sqrt(e)) + I*(1 - I)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(2*a**(3/2)*sqrt(b)*c*sqrt(e)), True))","A",0
54,1,1287,0,4.787090," ","integrate(1/(e*x)**(3/2)/(b*x+a)/(-b*c*x+a*c),x)","\begin{cases} \frac{6 a^{\frac{13}{2}} b^{3} x^{\frac{5}{2}} \operatorname{acoth}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} - \frac{6 a^{\frac{13}{2}} b^{3} x^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} + \frac{3 \pi a^{\frac{13}{2}} b^{3} x^{\frac{5}{2}}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} - \frac{6 a^{\frac{11}{2}} b^{4} x^{\frac{7}{2}} \operatorname{acoth}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} + \frac{6 a^{\frac{11}{2}} b^{4} x^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} - \frac{3 \pi a^{\frac{11}{2}} b^{4} x^{\frac{7}{2}}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} + \frac{2 a^{8} b^{\frac{3}{2}} x}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} - \frac{14 a^{7} b^{\frac{5}{2}} x^{2}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} + \frac{12 a^{6} b^{\frac{7}{2}} x^{3}}{6 a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} - 6 a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}}} & \text{for}\: \left|{\frac{b x}{a}}\right| > 1 \\\frac{a^{\frac{13}{2}} b^{3} x^{\frac{5}{2}} \left(3 - 3 i\right) \operatorname{atan}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} + \frac{a^{\frac{13}{2}} b^{3} x^{\frac{5}{2}} \left(-3 + 3 i\right) \operatorname{atanh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} - \frac{3 \pi a^{\frac{13}{2}} b^{3} x^{\frac{5}{2}}}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} + \frac{a^{\frac{11}{2}} b^{4} x^{\frac{7}{2}} \left(-3 + 3 i\right) \operatorname{atan}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} + \frac{a^{\frac{11}{2}} b^{4} x^{\frac{7}{2}} \left(3 - 3 i\right) \operatorname{atanh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} + \frac{3 \pi a^{\frac{11}{2}} b^{4} x^{\frac{7}{2}}}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} + \frac{a^{8} b^{\frac{3}{2}} x \left(-1 + i\right)}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} + \frac{a^{7} b^{\frac{5}{2}} x^{2} \left(7 - 7 i\right)}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} + \frac{a^{6} b^{\frac{7}{2}} x^{3} \left(-6 + 6 i\right)}{a^{9} b^{\frac{5}{2}} c e^{\frac{3}{2}} x^{\frac{5}{2}} \left(-3 + 3 i\right) + a^{8} b^{\frac{7}{2}} c e^{\frac{3}{2}} x^{\frac{7}{2}} \left(3 - 3 i\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((6*a**(13/2)*b**3*x**(5/2)*acoth(sqrt(b)*sqrt(x)/sqrt(a))/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) - 6*a**(13/2)*b**3*x**(5/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) + 3*pi*a**(13/2)*b**3*x**(5/2)/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) - 6*a**(11/2)*b**4*x**(7/2)*acoth(sqrt(b)*sqrt(x)/sqrt(a))/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) + 6*a**(11/2)*b**4*x**(7/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) - 3*pi*a**(11/2)*b**4*x**(7/2)/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) + 2*a**8*b**(3/2)*x/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) - 14*a**7*b**(5/2)*x**2/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)) + 12*a**6*b**(7/2)*x**3/(6*a**9*b**(5/2)*c*e**(3/2)*x**(5/2) - 6*a**8*b**(7/2)*c*e**(3/2)*x**(7/2)), Abs(b*x/a) > 1), (a**(13/2)*b**3*x**(5/2)*(3 - 3*I)*atan(sqrt(b)*sqrt(x)/sqrt(a))/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) + a**(13/2)*b**3*x**(5/2)*(-3 + 3*I)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) - 3*pi*a**(13/2)*b**3*x**(5/2)/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) + a**(11/2)*b**4*x**(7/2)*(-3 + 3*I)*atan(sqrt(b)*sqrt(x)/sqrt(a))/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) + a**(11/2)*b**4*x**(7/2)*(3 - 3*I)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) + 3*pi*a**(11/2)*b**4*x**(7/2)/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) + a**8*b**(3/2)*x*(-1 + I)/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) + a**7*b**(5/2)*x**2*(7 - 7*I)/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)) + a**6*b**(7/2)*x**3*(-6 + 6*I)/(a**9*b**(5/2)*c*e**(3/2)*x**(5/2)*(-3 + 3*I) + a**8*b**(7/2)*c*e**(3/2)*x**(7/2)*(3 - 3*I)), True))","B",0
55,-1,0,0,0.000000," ","integrate(1/(e*x)**(5/2)/(b*x+a)/(-b*c*x+a*c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,1,4136,0,3.958959," ","integrate((e*x)**m*(-2*a*x+2)**3*(a*x+1)**4,x)","\begin{cases} \frac{- 8 a^{7} \log{\left(x \right)} + \frac{8 a^{6}}{x} - \frac{12 a^{5}}{x^{2}} - \frac{8 a^{4}}{x^{3}} + \frac{6 a^{3}}{x^{4}} + \frac{24 a^{2}}{5 x^{5}} - \frac{4 a}{3 x^{6}} - \frac{8}{7 x^{7}}}{e^{8}} & \text{for}\: m = -8 \\\frac{- 8 a^{7} x - 8 a^{6} \log{\left(x \right)} - \frac{24 a^{5}}{x} - \frac{12 a^{4}}{x^{2}} + \frac{8 a^{3}}{x^{3}} + \frac{6 a^{2}}{x^{4}} - \frac{8 a}{5 x^{5}} - \frac{4}{3 x^{6}}}{e^{7}} & \text{for}\: m = -7 \\\frac{- 4 a^{7} x^{2} - 8 a^{6} x + 24 a^{5} \log{\left(x \right)} - \frac{24 a^{4}}{x} + \frac{12 a^{3}}{x^{2}} + \frac{8 a^{2}}{x^{3}} - \frac{2 a}{x^{4}} - \frac{8}{5 x^{5}}}{e^{6}} & \text{for}\: m = -6 \\\frac{- \frac{8 a^{7} x^{3}}{3} - 4 a^{6} x^{2} + 24 a^{5} x + 24 a^{4} \log{\left(x \right)} + \frac{24 a^{3}}{x} + \frac{12 a^{2}}{x^{2}} - \frac{8 a}{3 x^{3}} - \frac{2}{x^{4}}}{e^{5}} & \text{for}\: m = -5 \\\frac{- 2 a^{7} x^{4} - \frac{8 a^{6} x^{3}}{3} + 12 a^{5} x^{2} + 24 a^{4} x - 24 a^{3} \log{\left(x \right)} + \frac{24 a^{2}}{x} - \frac{4 a}{x^{2}} - \frac{8}{3 x^{3}}}{e^{4}} & \text{for}\: m = -4 \\\frac{- \frac{8 a^{7} x^{5}}{5} - 2 a^{6} x^{4} + 8 a^{5} x^{3} + 12 a^{4} x^{2} - 24 a^{3} x - 24 a^{2} \log{\left(x \right)} - \frac{8 a}{x} - \frac{4}{x^{2}}}{e^{3}} & \text{for}\: m = -3 \\\frac{- \frac{4 a^{7} x^{6}}{3} - \frac{8 a^{6} x^{5}}{5} + 6 a^{5} x^{4} + 8 a^{4} x^{3} - 12 a^{3} x^{2} - 24 a^{2} x + 8 a \log{\left(x \right)} - \frac{8}{x}}{e^{2}} & \text{for}\: m = -2 \\\frac{- \frac{8 a^{7} x^{7}}{7} - \frac{4 a^{6} x^{6}}{3} + \frac{24 a^{5} x^{5}}{5} + 6 a^{4} x^{4} - 8 a^{3} x^{3} - 12 a^{2} x^{2} + 8 a x + 8 \log{\left(x \right)}}{e} & \text{for}\: m = -1 \\- \frac{8 a^{7} e^{m} m^{7} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{224 a^{7} e^{m} m^{6} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{2576 a^{7} e^{m} m^{5} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{15680 a^{7} e^{m} m^{4} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{54152 a^{7} e^{m} m^{3} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{105056 a^{7} e^{m} m^{2} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{104544 a^{7} e^{m} m x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{40320 a^{7} e^{m} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{8 a^{6} e^{m} m^{7} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{232 a^{6} e^{m} m^{6} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{2744 a^{6} e^{m} m^{5} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{17080 a^{6} e^{m} m^{4} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{60032 a^{6} e^{m} m^{3} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{118048 a^{6} e^{m} m^{2} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{118656 a^{6} e^{m} m x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{46080 a^{6} e^{m} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{24 a^{5} e^{m} m^{7} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{720 a^{5} e^{m} m^{6} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{8784 a^{5} e^{m} m^{5} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{56160 a^{5} e^{m} m^{4} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{201816 a^{5} e^{m} m^{3} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{403920 a^{5} e^{m} m^{2} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{411456 a^{5} e^{m} m x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{161280 a^{5} e^{m} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{24 a^{4} e^{m} m^{7} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{744 a^{4} e^{m} m^{6} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{9384 a^{4} e^{m} m^{5} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{61944 a^{4} e^{m} m^{4} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{229056 a^{4} e^{m} m^{3} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{469536 a^{4} e^{m} m^{2} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{487296 a^{4} e^{m} m x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{193536 a^{4} e^{m} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{24 a^{3} e^{m} m^{7} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{768 a^{3} e^{m} m^{6} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{10032 a^{3} e^{m} m^{5} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{68736 a^{3} e^{m} m^{4} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{263832 a^{3} e^{m} m^{3} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{559488 a^{3} e^{m} m^{2} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{597024 a^{3} e^{m} m x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{241920 a^{3} e^{m} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{24 a^{2} e^{m} m^{7} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{792 a^{2} e^{m} m^{6} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{10728 a^{2} e^{m} m^{5} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{76680 a^{2} e^{m} m^{4} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{308736 a^{2} e^{m} m^{3} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{688608 a^{2} e^{m} m^{2} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{769152 a^{2} e^{m} m x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{322560 a^{2} e^{m} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{8 a e^{m} m^{7} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{272 a e^{m} m^{6} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{3824 a e^{m} m^{5} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{28640 a e^{m} m^{4} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{122312 a e^{m} m^{3} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{293648 a e^{m} m^{2} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{357696 a e^{m} m x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{161280 a e^{m} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{8 e^{m} m^{7} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{280 e^{m} m^{6} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{4088 e^{m} m^{5} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{32200 e^{m} m^{4} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{147392 e^{m} m^{3} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{390880 e^{m} m^{2} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{554112 e^{m} m x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{322560 e^{m} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-8*a**7*log(x) + 8*a**6/x - 12*a**5/x**2 - 8*a**4/x**3 + 6*a**3/x**4 + 24*a**2/(5*x**5) - 4*a/(3*x**6) - 8/(7*x**7))/e**8, Eq(m, -8)), ((-8*a**7*x - 8*a**6*log(x) - 24*a**5/x - 12*a**4/x**2 + 8*a**3/x**3 + 6*a**2/x**4 - 8*a/(5*x**5) - 4/(3*x**6))/e**7, Eq(m, -7)), ((-4*a**7*x**2 - 8*a**6*x + 24*a**5*log(x) - 24*a**4/x + 12*a**3/x**2 + 8*a**2/x**3 - 2*a/x**4 - 8/(5*x**5))/e**6, Eq(m, -6)), ((-8*a**7*x**3/3 - 4*a**6*x**2 + 24*a**5*x + 24*a**4*log(x) + 24*a**3/x + 12*a**2/x**2 - 8*a/(3*x**3) - 2/x**4)/e**5, Eq(m, -5)), ((-2*a**7*x**4 - 8*a**6*x**3/3 + 12*a**5*x**2 + 24*a**4*x - 24*a**3*log(x) + 24*a**2/x - 4*a/x**2 - 8/(3*x**3))/e**4, Eq(m, -4)), ((-8*a**7*x**5/5 - 2*a**6*x**4 + 8*a**5*x**3 + 12*a**4*x**2 - 24*a**3*x - 24*a**2*log(x) - 8*a/x - 4/x**2)/e**3, Eq(m, -3)), ((-4*a**7*x**6/3 - 8*a**6*x**5/5 + 6*a**5*x**4 + 8*a**4*x**3 - 12*a**3*x**2 - 24*a**2*x + 8*a*log(x) - 8/x)/e**2, Eq(m, -2)), ((-8*a**7*x**7/7 - 4*a**6*x**6/3 + 24*a**5*x**5/5 + 6*a**4*x**4 - 8*a**3*x**3 - 12*a**2*x**2 + 8*a*x + 8*log(x))/e, Eq(m, -1)), (-8*a**7*e**m*m**7*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 224*a**7*e**m*m**6*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 2576*a**7*e**m*m**5*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 15680*a**7*e**m*m**4*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 54152*a**7*e**m*m**3*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 105056*a**7*e**m*m**2*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 104544*a**7*e**m*m*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 40320*a**7*e**m*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 8*a**6*e**m*m**7*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 232*a**6*e**m*m**6*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 2744*a**6*e**m*m**5*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 17080*a**6*e**m*m**4*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 60032*a**6*e**m*m**3*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 118048*a**6*e**m*m**2*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 118656*a**6*e**m*m*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 46080*a**6*e**m*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 24*a**5*e**m*m**7*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 720*a**5*e**m*m**6*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 8784*a**5*e**m*m**5*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 56160*a**5*e**m*m**4*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 201816*a**5*e**m*m**3*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 403920*a**5*e**m*m**2*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 411456*a**5*e**m*m*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 161280*a**5*e**m*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 24*a**4*e**m*m**7*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 744*a**4*e**m*m**6*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 9384*a**4*e**m*m**5*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 61944*a**4*e**m*m**4*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 229056*a**4*e**m*m**3*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 469536*a**4*e**m*m**2*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 487296*a**4*e**m*m*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 193536*a**4*e**m*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 24*a**3*e**m*m**7*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 768*a**3*e**m*m**6*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 10032*a**3*e**m*m**5*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 68736*a**3*e**m*m**4*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 263832*a**3*e**m*m**3*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 559488*a**3*e**m*m**2*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 597024*a**3*e**m*m*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 241920*a**3*e**m*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 24*a**2*e**m*m**7*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 792*a**2*e**m*m**6*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 10728*a**2*e**m*m**5*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 76680*a**2*e**m*m**4*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 308736*a**2*e**m*m**3*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 688608*a**2*e**m*m**2*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 769152*a**2*e**m*m*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 322560*a**2*e**m*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 8*a*e**m*m**7*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 272*a*e**m*m**6*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 3824*a*e**m*m**5*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 28640*a*e**m*m**4*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 122312*a*e**m*m**3*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 293648*a*e**m*m**2*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 357696*a*e**m*m*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 161280*a*e**m*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 8*e**m*m**7*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 280*e**m*m**6*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 4088*e**m*m**5*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 32200*e**m*m**4*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 147392*e**m*m**3*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 390880*e**m*m**2*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 554112*e**m*m*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 322560*e**m*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320), True))","A",0
57,1,1928,0,2.481565," ","integrate((e*x)**m*(-2*a*x+2)**2*(a*x+1)**3,x)","\begin{cases} \frac{4 a^{5} \log{\left(x \right)} - \frac{4 a^{4}}{x} + \frac{4 a^{3}}{x^{2}} + \frac{8 a^{2}}{3 x^{3}} - \frac{a}{x^{4}} - \frac{4}{5 x^{5}}}{e^{6}} & \text{for}\: m = -6 \\\frac{4 a^{5} x + 4 a^{4} \log{\left(x \right)} + \frac{8 a^{3}}{x} + \frac{4 a^{2}}{x^{2}} - \frac{4 a}{3 x^{3}} - \frac{1}{x^{4}}}{e^{5}} & \text{for}\: m = -5 \\\frac{2 a^{5} x^{2} + 4 a^{4} x - 8 a^{3} \log{\left(x \right)} + \frac{8 a^{2}}{x} - \frac{2 a}{x^{2}} - \frac{4}{3 x^{3}}}{e^{4}} & \text{for}\: m = -4 \\\frac{\frac{4 a^{5} x^{3}}{3} + 2 a^{4} x^{2} - 8 a^{3} x - 8 a^{2} \log{\left(x \right)} - \frac{4 a}{x} - \frac{2}{x^{2}}}{e^{3}} & \text{for}\: m = -3 \\\frac{a^{5} x^{4} + \frac{4 a^{4} x^{3}}{3} - 4 a^{3} x^{2} - 8 a^{2} x + 4 a \log{\left(x \right)} - \frac{4}{x}}{e^{2}} & \text{for}\: m = -2 \\\frac{\frac{4 a^{5} x^{5}}{5} + a^{4} x^{4} - \frac{8 a^{3} x^{3}}{3} - 4 a^{2} x^{2} + 4 a x + 4 \log{\left(x \right)}}{e} & \text{for}\: m = -1 \\\frac{4 a^{5} e^{m} m^{5} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{60 a^{5} e^{m} m^{4} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{340 a^{5} e^{m} m^{3} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{900 a^{5} e^{m} m^{2} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1096 a^{5} e^{m} m x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{480 a^{5} e^{m} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4 a^{4} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{64 a^{4} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{380 a^{4} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1040 a^{4} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1296 a^{4} e^{m} m x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{576 a^{4} e^{m} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{8 a^{3} e^{m} m^{5} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{136 a^{3} e^{m} m^{4} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{856 a^{3} e^{m} m^{3} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{2456 a^{3} e^{m} m^{2} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{3168 a^{3} e^{m} m x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{1440 a^{3} e^{m} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{8 a^{2} e^{m} m^{5} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{144 a^{2} e^{m} m^{4} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{968 a^{2} e^{m} m^{3} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{2976 a^{2} e^{m} m^{2} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{4064 a^{2} e^{m} m x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{1920 a^{2} e^{m} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4 a e^{m} m^{5} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{76 a e^{m} m^{4} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{548 a e^{m} m^{3} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1844 a e^{m} m^{2} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2808 a e^{m} m x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1440 a e^{m} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4 e^{m} m^{5} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{80 e^{m} m^{4} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{620 e^{m} m^{3} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2320 e^{m} m^{2} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4176 e^{m} m x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2880 e^{m} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((4*a**5*log(x) - 4*a**4/x + 4*a**3/x**2 + 8*a**2/(3*x**3) - a/x**4 - 4/(5*x**5))/e**6, Eq(m, -6)), ((4*a**5*x + 4*a**4*log(x) + 8*a**3/x + 4*a**2/x**2 - 4*a/(3*x**3) - 1/x**4)/e**5, Eq(m, -5)), ((2*a**5*x**2 + 4*a**4*x - 8*a**3*log(x) + 8*a**2/x - 2*a/x**2 - 4/(3*x**3))/e**4, Eq(m, -4)), ((4*a**5*x**3/3 + 2*a**4*x**2 - 8*a**3*x - 8*a**2*log(x) - 4*a/x - 2/x**2)/e**3, Eq(m, -3)), ((a**5*x**4 + 4*a**4*x**3/3 - 4*a**3*x**2 - 8*a**2*x + 4*a*log(x) - 4/x)/e**2, Eq(m, -2)), ((4*a**5*x**5/5 + a**4*x**4 - 8*a**3*x**3/3 - 4*a**2*x**2 + 4*a*x + 4*log(x))/e, Eq(m, -1)), (4*a**5*e**m*m**5*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 60*a**5*e**m*m**4*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 340*a**5*e**m*m**3*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 900*a**5*e**m*m**2*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1096*a**5*e**m*m*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 480*a**5*e**m*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4*a**4*e**m*m**5*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 64*a**4*e**m*m**4*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 380*a**4*e**m*m**3*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1040*a**4*e**m*m**2*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1296*a**4*e**m*m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 576*a**4*e**m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 8*a**3*e**m*m**5*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 136*a**3*e**m*m**4*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 856*a**3*e**m*m**3*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 2456*a**3*e**m*m**2*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 3168*a**3*e**m*m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 1440*a**3*e**m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 8*a**2*e**m*m**5*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 144*a**2*e**m*m**4*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 968*a**2*e**m*m**3*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 2976*a**2*e**m*m**2*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 4064*a**2*e**m*m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 1920*a**2*e**m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4*a*e**m*m**5*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 76*a*e**m*m**4*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 548*a*e**m*m**3*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1844*a*e**m*m**2*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2808*a*e**m*m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1440*a*e**m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4*e**m*m**5*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 80*e**m*m**4*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 620*e**m*m**3*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2320*e**m*m**2*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4176*e**m*m*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2880*e**m*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720), True))","A",0
58,1,668,0,1.110512," ","integrate((e*x)**m*(-2*a*x+2)*(a*x+1)**2,x)","\begin{cases} \frac{- 2 a^{3} \log{\left(x \right)} + \frac{2 a^{2}}{x} - \frac{a}{x^{2}} - \frac{2}{3 x^{3}}}{e^{4}} & \text{for}\: m = -4 \\\frac{- 2 a^{3} x - 2 a^{2} \log{\left(x \right)} - \frac{2 a}{x} - \frac{1}{x^{2}}}{e^{3}} & \text{for}\: m = -3 \\\frac{- a^{3} x^{2} - 2 a^{2} x + 2 a \log{\left(x \right)} - \frac{2}{x}}{e^{2}} & \text{for}\: m = -2 \\\frac{- \frac{2 a^{3} x^{3}}{3} - a^{2} x^{2} + 2 a x + 2 \log{\left(x \right)}}{e} & \text{for}\: m = -1 \\- \frac{2 a^{3} e^{m} m^{3} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{12 a^{3} e^{m} m^{2} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{22 a^{3} e^{m} m x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{12 a^{3} e^{m} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{2 a^{2} e^{m} m^{3} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{14 a^{2} e^{m} m^{2} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{28 a^{2} e^{m} m x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{16 a^{2} e^{m} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{2 a e^{m} m^{3} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{16 a e^{m} m^{2} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{38 a e^{m} m x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{24 a e^{m} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{2 e^{m} m^{3} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{18 e^{m} m^{2} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{52 e^{m} m x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{48 e^{m} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*a**3*log(x) + 2*a**2/x - a/x**2 - 2/(3*x**3))/e**4, Eq(m, -4)), ((-2*a**3*x - 2*a**2*log(x) - 2*a/x - 1/x**2)/e**3, Eq(m, -3)), ((-a**3*x**2 - 2*a**2*x + 2*a*log(x) - 2/x)/e**2, Eq(m, -2)), ((-2*a**3*x**3/3 - a**2*x**2 + 2*a*x + 2*log(x))/e, Eq(m, -1)), (-2*a**3*e**m*m**3*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 12*a**3*e**m*m**2*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 22*a**3*e**m*m*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 12*a**3*e**m*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 2*a**2*e**m*m**3*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 14*a**2*e**m*m**2*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 28*a**2*e**m*m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 16*a**2*e**m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 2*a*e**m*m**3*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 16*a*e**m*m**2*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 38*a*e**m*m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*a*e**m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 2*e**m*m**3*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 18*e**m*m**2*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 52*e**m*m*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 48*e**m*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24), True))","A",0
59,1,337,0,3.251968," ","integrate((e*x)**m/(-2*a*x+2)**2/(a*x+1),x)","\frac{2 a e^{m} m^{2} x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{2} x \Gamma\left(1 - m\right) - 16 a \Gamma\left(1 - m\right)} - \frac{a e^{m} m x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{2} x \Gamma\left(1 - m\right) - 16 a \Gamma\left(1 - m\right)} + \frac{a e^{m} m x x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{2} x \Gamma\left(1 - m\right) - 16 a \Gamma\left(1 - m\right)} + \frac{2 a e^{m} m x x^{m} \Gamma\left(- m\right)}{16 a^{2} x \Gamma\left(1 - m\right) - 16 a \Gamma\left(1 - m\right)} - \frac{2 e^{m} m^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{2} x \Gamma\left(1 - m\right) - 16 a \Gamma\left(1 - m\right)} + \frac{e^{m} m x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{2} x \Gamma\left(1 - m\right) - 16 a \Gamma\left(1 - m\right)} - \frac{e^{m} m x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{2} x \Gamma\left(1 - m\right) - 16 a \Gamma\left(1 - m\right)}"," ",0,"2*a*e**m*m**2*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**2*x*gamma(1 - m) - 16*a*gamma(1 - m)) - a*e**m*m*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**2*x*gamma(1 - m) - 16*a*gamma(1 - m)) + a*e**m*m*x*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**2*x*gamma(1 - m) - 16*a*gamma(1 - m)) + 2*a*e**m*m*x*x**m*gamma(-m)/(16*a**2*x*gamma(1 - m) - 16*a*gamma(1 - m)) - 2*e**m*m**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**2*x*gamma(1 - m) - 16*a*gamma(1 - m)) + e**m*m*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**2*x*gamma(1 - m) - 16*a*gamma(1 - m)) - e**m*m*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**2*x*gamma(1 - m) - 16*a*gamma(1 - m))","C",0
60,1,1972,0,6.390915," ","integrate((e*x)**m/(-2*a*x+2)**3/(a*x+1)**2,x)","- \frac{2 a^{3} e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{6 a^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{2 a^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{2 a^{3} e^{m} m^{2} x^{3} x^{m} \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{3 a^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{3 a^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{4 a^{3} e^{m} m x^{3} x^{m} \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{2 a^{2} e^{m} m^{3} x^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{6 a^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{2 a^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{3 a^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{3 a^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{2 a^{2} e^{m} m x^{2} x^{m} \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{2 a e^{m} m^{3} x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{6 a e^{m} m^{2} x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{2 a e^{m} m^{2} x x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{2 a e^{m} m^{2} x x^{m} \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{3 a e^{m} m x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{3 a e^{m} m x x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{10 a e^{m} m x x^{m} \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{2 e^{m} m^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{6 e^{m} m^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{2 e^{m} m^{2} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} - \frac{3 e^{m} m x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)} + \frac{3 e^{m} m x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{128 a^{4} x^{3} \Gamma\left(1 - m\right) - 128 a^{3} x^{2} \Gamma\left(1 - m\right) - 128 a^{2} x \Gamma\left(1 - m\right) + 128 a \Gamma\left(1 - m\right)}"," ",0,"-2*a**3*e**m*m**3*x**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 6*a**3*e**m*m**2*x**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 2*a**3*e**m*m**2*x**3*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 2*a**3*e**m*m**2*x**3*x**m*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 3*a**3*e**m*m*x**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 3*a**3*e**m*m*x**3*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 4*a**3*e**m*m*x**3*x**m*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 2*a**2*e**m*m**3*x**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 6*a**2*e**m*m**2*x**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 2*a**2*e**m*m**2*x**2*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 3*a**2*e**m*m*x**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 3*a**2*e**m*m*x**2*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 2*a**2*e**m*m*x**2*x**m*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 2*a*e**m*m**3*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 6*a*e**m*m**2*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 2*a*e**m*m**2*x*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 2*a*e**m*m**2*x*x**m*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 3*a*e**m*m*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 3*a*e**m*m*x*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 10*a*e**m*m*x*x**m*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 2*e**m*m**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 6*e**m*m**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 2*e**m*m**2*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) - 3*e**m*m*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m)) + 3*e**m*m*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(128*a**4*x**3*gamma(1 - m) - 128*a**3*x**2*gamma(1 - m) - 128*a**2*x*gamma(1 - m) + 128*a*gamma(1 - m))","C",0
61,1,5872,0,10.736137," ","integrate((e*x)**m/(-2*a*x+2)**4/(a*x+1)**3,x)","\frac{2 a^{5} e^{m} m^{4} x^{5} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 a^{5} e^{m} m^{3} x^{5} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{3 a^{5} e^{m} m^{3} x^{5} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{2 a^{5} e^{m} m^{3} x^{5} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{31 a^{5} e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 a^{5} e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{12 a^{5} e^{m} m^{2} x^{5} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 a^{5} e^{m} m x^{5} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 a^{5} e^{m} m x^{5} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{16 a^{5} e^{m} m x^{5} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{2 a^{4} e^{m} m^{4} x^{4} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 a^{4} e^{m} m^{3} x^{4} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{3 a^{4} e^{m} m^{3} x^{4} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{31 a^{4} e^{m} m^{2} x^{4} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 a^{4} e^{m} m^{2} x^{4} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{4 a^{4} e^{m} m^{2} x^{4} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 a^{4} e^{m} m x^{4} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 a^{4} e^{m} m x^{4} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{14 a^{4} e^{m} m x^{4} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{4 a^{3} e^{m} m^{4} x^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{30 a^{3} e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{6 a^{3} e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{4 a^{3} e^{m} m^{3} x^{3} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{62 a^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{30 a^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{32 a^{3} e^{m} m^{2} x^{3} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{30 a^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{30 a^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{62 a^{3} e^{m} m x^{3} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{4 a^{2} e^{m} m^{4} x^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{30 a^{2} e^{m} m^{3} x^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{6 a^{2} e^{m} m^{3} x^{2} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{62 a^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{30 a^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{4 a^{2} e^{m} m^{2} x^{2} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{30 a^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{30 a^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{18 a^{2} e^{m} m x^{2} x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{2 a e^{m} m^{4} x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 a e^{m} m^{3} x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{3 a e^{m} m^{3} x x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{2 a e^{m} m^{3} x x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{31 a e^{m} m^{2} x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 a e^{m} m^{2} x x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{20 a e^{m} m^{2} x x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 a e^{m} m x x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 a e^{m} m x x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{66 a e^{m} m x x^{m} \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{2 e^{m} m^{4} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 e^{m} m^{3} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{3 e^{m} m^{3} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{31 e^{m} m^{2} x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 e^{m} m^{2} x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} + \frac{15 e^{m} m x^{m} \Phi\left(\frac{1}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)} - \frac{15 e^{m} m x^{m} \Phi\left(\frac{e^{i \pi}}{a x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1536 a^{6} x^{5} \Gamma\left(1 - m\right) - 1536 a^{5} x^{4} \Gamma\left(1 - m\right) - 3072 a^{4} x^{3} \Gamma\left(1 - m\right) + 3072 a^{3} x^{2} \Gamma\left(1 - m\right) + 1536 a^{2} x \Gamma\left(1 - m\right) - 1536 a \Gamma\left(1 - m\right)}"," ",0,"2*a**5*e**m*m**4*x**5*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*a**5*e**m*m**3*x**5*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 3*a**5*e**m*m**3*x**5*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 2*a**5*e**m*m**3*x**5*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 31*a**5*e**m*m**2*x**5*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*a**5*e**m*m**2*x**5*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 12*a**5*e**m*m**2*x**5*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*a**5*e**m*m*x**5*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*a**5*e**m*m*x**5*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 16*a**5*e**m*m*x**5*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 2*a**4*e**m*m**4*x**4*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*a**4*e**m*m**3*x**4*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 3*a**4*e**m*m**3*x**4*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 31*a**4*e**m*m**2*x**4*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*a**4*e**m*m**2*x**4*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 4*a**4*e**m*m**2*x**4*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*a**4*e**m*m*x**4*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*a**4*e**m*m*x**4*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 14*a**4*e**m*m*x**4*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 4*a**3*e**m*m**4*x**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 30*a**3*e**m*m**3*x**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 6*a**3*e**m*m**3*x**3*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 4*a**3*e**m*m**3*x**3*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 62*a**3*e**m*m**2*x**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 30*a**3*e**m*m**2*x**3*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 32*a**3*e**m*m**2*x**3*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 30*a**3*e**m*m*x**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 30*a**3*e**m*m*x**3*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 62*a**3*e**m*m*x**3*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 4*a**2*e**m*m**4*x**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 30*a**2*e**m*m**3*x**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 6*a**2*e**m*m**3*x**2*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 62*a**2*e**m*m**2*x**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 30*a**2*e**m*m**2*x**2*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 4*a**2*e**m*m**2*x**2*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 30*a**2*e**m*m*x**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 30*a**2*e**m*m*x**2*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 18*a**2*e**m*m*x**2*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 2*a*e**m*m**4*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*a*e**m*m**3*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 3*a*e**m*m**3*x*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 2*a*e**m*m**3*x*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 31*a*e**m*m**2*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*a*e**m*m**2*x*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 20*a*e**m*m**2*x*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*a*e**m*m*x*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*a*e**m*m*x*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 66*a*e**m*m*x*x**m*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 2*e**m*m**4*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*e**m*m**3*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 3*e**m*m**3*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 31*e**m*m**2*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*e**m*m**2*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) + 15*e**m*m*x**m*lerchphi(1/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m)) - 15*e**m*m*x**m*lerchphi(exp_polar(I*pi)/(a*x), 1, m*exp_polar(I*pi))*gamma(-m)/(1536*a**6*x**5*gamma(1 - m) - 1536*a**5*x**4*gamma(1 - m) - 3072*a**4*x**3*gamma(1 - m) + 3072*a**3*x**2*gamma(1 - m) + 1536*a**2*x*gamma(1 - m) - 1536*a*gamma(1 - m))","C",0
62,1,4888,0,4.576697," ","integrate((e*x)**m*(b*x+a)**4*(-b*d*x+a*d)**3,x)","\begin{cases} \frac{- \frac{a^{7} d^{3}}{7 x^{7}} - \frac{a^{6} b d^{3}}{6 x^{6}} + \frac{3 a^{5} b^{2} d^{3}}{5 x^{5}} + \frac{3 a^{4} b^{3} d^{3}}{4 x^{4}} - \frac{a^{3} b^{4} d^{3}}{x^{3}} - \frac{3 a^{2} b^{5} d^{3}}{2 x^{2}} + \frac{a b^{6} d^{3}}{x} - b^{7} d^{3} \log{\left(x \right)}}{e^{8}} & \text{for}\: m = -8 \\\frac{- \frac{a^{7} d^{3}}{6 x^{6}} - \frac{a^{6} b d^{3}}{5 x^{5}} + \frac{3 a^{5} b^{2} d^{3}}{4 x^{4}} + \frac{a^{4} b^{3} d^{3}}{x^{3}} - \frac{3 a^{3} b^{4} d^{3}}{2 x^{2}} - \frac{3 a^{2} b^{5} d^{3}}{x} - a b^{6} d^{3} \log{\left(x \right)} - b^{7} d^{3} x}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{a^{7} d^{3}}{5 x^{5}} - \frac{a^{6} b d^{3}}{4 x^{4}} + \frac{a^{5} b^{2} d^{3}}{x^{3}} + \frac{3 a^{4} b^{3} d^{3}}{2 x^{2}} - \frac{3 a^{3} b^{4} d^{3}}{x} + 3 a^{2} b^{5} d^{3} \log{\left(x \right)} - a b^{6} d^{3} x - \frac{b^{7} d^{3} x^{2}}{2}}{e^{6}} & \text{for}\: m = -6 \\\frac{- \frac{a^{7} d^{3}}{4 x^{4}} - \frac{a^{6} b d^{3}}{3 x^{3}} + \frac{3 a^{5} b^{2} d^{3}}{2 x^{2}} + \frac{3 a^{4} b^{3} d^{3}}{x} + 3 a^{3} b^{4} d^{3} \log{\left(x \right)} + 3 a^{2} b^{5} d^{3} x - \frac{a b^{6} d^{3} x^{2}}{2} - \frac{b^{7} d^{3} x^{3}}{3}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{a^{7} d^{3}}{3 x^{3}} - \frac{a^{6} b d^{3}}{2 x^{2}} + \frac{3 a^{5} b^{2} d^{3}}{x} - 3 a^{4} b^{3} d^{3} \log{\left(x \right)} + 3 a^{3} b^{4} d^{3} x + \frac{3 a^{2} b^{5} d^{3} x^{2}}{2} - \frac{a b^{6} d^{3} x^{3}}{3} - \frac{b^{7} d^{3} x^{4}}{4}}{e^{4}} & \text{for}\: m = -4 \\\frac{- \frac{a^{7} d^{3}}{2 x^{2}} - \frac{a^{6} b d^{3}}{x} - 3 a^{5} b^{2} d^{3} \log{\left(x \right)} - 3 a^{4} b^{3} d^{3} x + \frac{3 a^{3} b^{4} d^{3} x^{2}}{2} + a^{2} b^{5} d^{3} x^{3} - \frac{a b^{6} d^{3} x^{4}}{4} - \frac{b^{7} d^{3} x^{5}}{5}}{e^{3}} & \text{for}\: m = -3 \\\frac{- \frac{a^{7} d^{3}}{x} + a^{6} b d^{3} \log{\left(x \right)} - 3 a^{5} b^{2} d^{3} x - \frac{3 a^{4} b^{3} d^{3} x^{2}}{2} + a^{3} b^{4} d^{3} x^{3} + \frac{3 a^{2} b^{5} d^{3} x^{4}}{4} - \frac{a b^{6} d^{3} x^{5}}{5} - \frac{b^{7} d^{3} x^{6}}{6}}{e^{2}} & \text{for}\: m = -2 \\\frac{a^{7} d^{3} \log{\left(x \right)} + a^{6} b d^{3} x - \frac{3 a^{5} b^{2} d^{3} x^{2}}{2} - a^{4} b^{3} d^{3} x^{3} + \frac{3 a^{3} b^{4} d^{3} x^{4}}{4} + \frac{3 a^{2} b^{5} d^{3} x^{5}}{5} - \frac{a b^{6} d^{3} x^{6}}{6} - \frac{b^{7} d^{3} x^{7}}{7}}{e} & \text{for}\: m = -1 \\\frac{a^{7} d^{3} e^{m} m^{7} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{35 a^{7} d^{3} e^{m} m^{6} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{511 a^{7} d^{3} e^{m} m^{5} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{4025 a^{7} d^{3} e^{m} m^{4} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{18424 a^{7} d^{3} e^{m} m^{3} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{48860 a^{7} d^{3} e^{m} m^{2} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{69264 a^{7} d^{3} e^{m} m x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{40320 a^{7} d^{3} e^{m} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{a^{6} b d^{3} e^{m} m^{7} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{34 a^{6} b d^{3} e^{m} m^{6} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{478 a^{6} b d^{3} e^{m} m^{5} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{3580 a^{6} b d^{3} e^{m} m^{4} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{15289 a^{6} b d^{3} e^{m} m^{3} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{36706 a^{6} b d^{3} e^{m} m^{2} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{44712 a^{6} b d^{3} e^{m} m x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{20160 a^{6} b d^{3} e^{m} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{3 a^{5} b^{2} d^{3} e^{m} m^{7} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{99 a^{5} b^{2} d^{3} e^{m} m^{6} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{1341 a^{5} b^{2} d^{3} e^{m} m^{5} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{9585 a^{5} b^{2} d^{3} e^{m} m^{4} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{38592 a^{5} b^{2} d^{3} e^{m} m^{3} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{86076 a^{5} b^{2} d^{3} e^{m} m^{2} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{96144 a^{5} b^{2} d^{3} e^{m} m x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{40320 a^{5} b^{2} d^{3} e^{m} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{3 a^{4} b^{3} d^{3} e^{m} m^{7} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{96 a^{4} b^{3} d^{3} e^{m} m^{6} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{1254 a^{4} b^{3} d^{3} e^{m} m^{5} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{8592 a^{4} b^{3} d^{3} e^{m} m^{4} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{32979 a^{4} b^{3} d^{3} e^{m} m^{3} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{69936 a^{4} b^{3} d^{3} e^{m} m^{2} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{74628 a^{4} b^{3} d^{3} e^{m} m x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{30240 a^{4} b^{3} d^{3} e^{m} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{3 a^{3} b^{4} d^{3} e^{m} m^{7} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{93 a^{3} b^{4} d^{3} e^{m} m^{6} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{1173 a^{3} b^{4} d^{3} e^{m} m^{5} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{7743 a^{3} b^{4} d^{3} e^{m} m^{4} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{28632 a^{3} b^{4} d^{3} e^{m} m^{3} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{58692 a^{3} b^{4} d^{3} e^{m} m^{2} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{60912 a^{3} b^{4} d^{3} e^{m} m x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{24192 a^{3} b^{4} d^{3} e^{m} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{3 a^{2} b^{5} d^{3} e^{m} m^{7} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{90 a^{2} b^{5} d^{3} e^{m} m^{6} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{1098 a^{2} b^{5} d^{3} e^{m} m^{5} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{7020 a^{2} b^{5} d^{3} e^{m} m^{4} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{25227 a^{2} b^{5} d^{3} e^{m} m^{3} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{50490 a^{2} b^{5} d^{3} e^{m} m^{2} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{51432 a^{2} b^{5} d^{3} e^{m} m x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{20160 a^{2} b^{5} d^{3} e^{m} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{a b^{6} d^{3} e^{m} m^{7} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{29 a b^{6} d^{3} e^{m} m^{6} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{343 a b^{6} d^{3} e^{m} m^{5} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{2135 a b^{6} d^{3} e^{m} m^{4} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{7504 a b^{6} d^{3} e^{m} m^{3} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{14756 a b^{6} d^{3} e^{m} m^{2} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{14832 a b^{6} d^{3} e^{m} m x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{5760 a b^{6} d^{3} e^{m} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{b^{7} d^{3} e^{m} m^{7} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{28 b^{7} d^{3} e^{m} m^{6} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{322 b^{7} d^{3} e^{m} m^{5} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{1960 b^{7} d^{3} e^{m} m^{4} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{6769 b^{7} d^{3} e^{m} m^{3} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{13132 b^{7} d^{3} e^{m} m^{2} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{13068 b^{7} d^{3} e^{m} m x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} - \frac{5040 b^{7} d^{3} e^{m} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**7*d**3/(7*x**7) - a**6*b*d**3/(6*x**6) + 3*a**5*b**2*d**3/(5*x**5) + 3*a**4*b**3*d**3/(4*x**4) - a**3*b**4*d**3/x**3 - 3*a**2*b**5*d**3/(2*x**2) + a*b**6*d**3/x - b**7*d**3*log(x))/e**8, Eq(m, -8)), ((-a**7*d**3/(6*x**6) - a**6*b*d**3/(5*x**5) + 3*a**5*b**2*d**3/(4*x**4) + a**4*b**3*d**3/x**3 - 3*a**3*b**4*d**3/(2*x**2) - 3*a**2*b**5*d**3/x - a*b**6*d**3*log(x) - b**7*d**3*x)/e**7, Eq(m, -7)), ((-a**7*d**3/(5*x**5) - a**6*b*d**3/(4*x**4) + a**5*b**2*d**3/x**3 + 3*a**4*b**3*d**3/(2*x**2) - 3*a**3*b**4*d**3/x + 3*a**2*b**5*d**3*log(x) - a*b**6*d**3*x - b**7*d**3*x**2/2)/e**6, Eq(m, -6)), ((-a**7*d**3/(4*x**4) - a**6*b*d**3/(3*x**3) + 3*a**5*b**2*d**3/(2*x**2) + 3*a**4*b**3*d**3/x + 3*a**3*b**4*d**3*log(x) + 3*a**2*b**5*d**3*x - a*b**6*d**3*x**2/2 - b**7*d**3*x**3/3)/e**5, Eq(m, -5)), ((-a**7*d**3/(3*x**3) - a**6*b*d**3/(2*x**2) + 3*a**5*b**2*d**3/x - 3*a**4*b**3*d**3*log(x) + 3*a**3*b**4*d**3*x + 3*a**2*b**5*d**3*x**2/2 - a*b**6*d**3*x**3/3 - b**7*d**3*x**4/4)/e**4, Eq(m, -4)), ((-a**7*d**3/(2*x**2) - a**6*b*d**3/x - 3*a**5*b**2*d**3*log(x) - 3*a**4*b**3*d**3*x + 3*a**3*b**4*d**3*x**2/2 + a**2*b**5*d**3*x**3 - a*b**6*d**3*x**4/4 - b**7*d**3*x**5/5)/e**3, Eq(m, -3)), ((-a**7*d**3/x + a**6*b*d**3*log(x) - 3*a**5*b**2*d**3*x - 3*a**4*b**3*d**3*x**2/2 + a**3*b**4*d**3*x**3 + 3*a**2*b**5*d**3*x**4/4 - a*b**6*d**3*x**5/5 - b**7*d**3*x**6/6)/e**2, Eq(m, -2)), ((a**7*d**3*log(x) + a**6*b*d**3*x - 3*a**5*b**2*d**3*x**2/2 - a**4*b**3*d**3*x**3 + 3*a**3*b**4*d**3*x**4/4 + 3*a**2*b**5*d**3*x**5/5 - a*b**6*d**3*x**6/6 - b**7*d**3*x**7/7)/e, Eq(m, -1)), (a**7*d**3*e**m*m**7*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 35*a**7*d**3*e**m*m**6*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 511*a**7*d**3*e**m*m**5*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 4025*a**7*d**3*e**m*m**4*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 18424*a**7*d**3*e**m*m**3*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 48860*a**7*d**3*e**m*m**2*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 69264*a**7*d**3*e**m*m*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 40320*a**7*d**3*e**m*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + a**6*b*d**3*e**m*m**7*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 34*a**6*b*d**3*e**m*m**6*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 478*a**6*b*d**3*e**m*m**5*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 3580*a**6*b*d**3*e**m*m**4*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 15289*a**6*b*d**3*e**m*m**3*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 36706*a**6*b*d**3*e**m*m**2*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 44712*a**6*b*d**3*e**m*m*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 20160*a**6*b*d**3*e**m*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 3*a**5*b**2*d**3*e**m*m**7*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 99*a**5*b**2*d**3*e**m*m**6*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 1341*a**5*b**2*d**3*e**m*m**5*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 9585*a**5*b**2*d**3*e**m*m**4*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 38592*a**5*b**2*d**3*e**m*m**3*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 86076*a**5*b**2*d**3*e**m*m**2*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 96144*a**5*b**2*d**3*e**m*m*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 40320*a**5*b**2*d**3*e**m*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 3*a**4*b**3*d**3*e**m*m**7*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 96*a**4*b**3*d**3*e**m*m**6*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 1254*a**4*b**3*d**3*e**m*m**5*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 8592*a**4*b**3*d**3*e**m*m**4*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 32979*a**4*b**3*d**3*e**m*m**3*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 69936*a**4*b**3*d**3*e**m*m**2*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 74628*a**4*b**3*d**3*e**m*m*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 30240*a**4*b**3*d**3*e**m*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 3*a**3*b**4*d**3*e**m*m**7*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 93*a**3*b**4*d**3*e**m*m**6*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 1173*a**3*b**4*d**3*e**m*m**5*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 7743*a**3*b**4*d**3*e**m*m**4*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 28632*a**3*b**4*d**3*e**m*m**3*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 58692*a**3*b**4*d**3*e**m*m**2*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 60912*a**3*b**4*d**3*e**m*m*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 24192*a**3*b**4*d**3*e**m*x**5*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 3*a**2*b**5*d**3*e**m*m**7*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 90*a**2*b**5*d**3*e**m*m**6*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 1098*a**2*b**5*d**3*e**m*m**5*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 7020*a**2*b**5*d**3*e**m*m**4*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 25227*a**2*b**5*d**3*e**m*m**3*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 50490*a**2*b**5*d**3*e**m*m**2*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 51432*a**2*b**5*d**3*e**m*m*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 20160*a**2*b**5*d**3*e**m*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - a*b**6*d**3*e**m*m**7*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 29*a*b**6*d**3*e**m*m**6*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 343*a*b**6*d**3*e**m*m**5*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 2135*a*b**6*d**3*e**m*m**4*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 7504*a*b**6*d**3*e**m*m**3*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 14756*a*b**6*d**3*e**m*m**2*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 14832*a*b**6*d**3*e**m*m*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 5760*a*b**6*d**3*e**m*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - b**7*d**3*e**m*m**7*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 28*b**7*d**3*e**m*m**6*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 322*b**7*d**3*e**m*m**5*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 1960*b**7*d**3*e**m*m**4*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 6769*b**7*d**3*e**m*m**3*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 13132*b**7*d**3*e**m*m**2*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 13068*b**7*d**3*e**m*m*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) - 5040*b**7*d**3*e**m*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320), True))","A",0
63,1,2320,0,2.516232," ","integrate((e*x)**m*(b*x+a)**3*(-b*d*x+a*d)**2,x)","\begin{cases} \frac{- \frac{a^{5} d^{2}}{5 x^{5}} - \frac{a^{4} b d^{2}}{4 x^{4}} + \frac{2 a^{3} b^{2} d^{2}}{3 x^{3}} + \frac{a^{2} b^{3} d^{2}}{x^{2}} - \frac{a b^{4} d^{2}}{x} + b^{5} d^{2} \log{\left(x \right)}}{e^{6}} & \text{for}\: m = -6 \\\frac{- \frac{a^{5} d^{2}}{4 x^{4}} - \frac{a^{4} b d^{2}}{3 x^{3}} + \frac{a^{3} b^{2} d^{2}}{x^{2}} + \frac{2 a^{2} b^{3} d^{2}}{x} + a b^{4} d^{2} \log{\left(x \right)} + b^{5} d^{2} x}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{a^{5} d^{2}}{3 x^{3}} - \frac{a^{4} b d^{2}}{2 x^{2}} + \frac{2 a^{3} b^{2} d^{2}}{x} - 2 a^{2} b^{3} d^{2} \log{\left(x \right)} + a b^{4} d^{2} x + \frac{b^{5} d^{2} x^{2}}{2}}{e^{4}} & \text{for}\: m = -4 \\\frac{- \frac{a^{5} d^{2}}{2 x^{2}} - \frac{a^{4} b d^{2}}{x} - 2 a^{3} b^{2} d^{2} \log{\left(x \right)} - 2 a^{2} b^{3} d^{2} x + \frac{a b^{4} d^{2} x^{2}}{2} + \frac{b^{5} d^{2} x^{3}}{3}}{e^{3}} & \text{for}\: m = -3 \\\frac{- \frac{a^{5} d^{2}}{x} + a^{4} b d^{2} \log{\left(x \right)} - 2 a^{3} b^{2} d^{2} x - a^{2} b^{3} d^{2} x^{2} + \frac{a b^{4} d^{2} x^{3}}{3} + \frac{b^{5} d^{2} x^{4}}{4}}{e^{2}} & \text{for}\: m = -2 \\\frac{a^{5} d^{2} \log{\left(x \right)} + a^{4} b d^{2} x - a^{3} b^{2} d^{2} x^{2} - \frac{2 a^{2} b^{3} d^{2} x^{3}}{3} + \frac{a b^{4} d^{2} x^{4}}{4} + \frac{b^{5} d^{2} x^{5}}{5}}{e} & \text{for}\: m = -1 \\\frac{a^{5} d^{2} e^{m} m^{5} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{20 a^{5} d^{2} e^{m} m^{4} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{155 a^{5} d^{2} e^{m} m^{3} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{580 a^{5} d^{2} e^{m} m^{2} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1044 a^{5} d^{2} e^{m} m x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{720 a^{5} d^{2} e^{m} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{a^{4} b d^{2} e^{m} m^{5} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{19 a^{4} b d^{2} e^{m} m^{4} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{137 a^{4} b d^{2} e^{m} m^{3} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{461 a^{4} b d^{2} e^{m} m^{2} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{702 a^{4} b d^{2} e^{m} m x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{360 a^{4} b d^{2} e^{m} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{2 a^{3} b^{2} d^{2} e^{m} m^{5} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{36 a^{3} b^{2} d^{2} e^{m} m^{4} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{242 a^{3} b^{2} d^{2} e^{m} m^{3} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{744 a^{3} b^{2} d^{2} e^{m} m^{2} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{1016 a^{3} b^{2} d^{2} e^{m} m x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{480 a^{3} b^{2} d^{2} e^{m} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{2 a^{2} b^{3} d^{2} e^{m} m^{5} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{34 a^{2} b^{3} d^{2} e^{m} m^{4} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{214 a^{2} b^{3} d^{2} e^{m} m^{3} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{614 a^{2} b^{3} d^{2} e^{m} m^{2} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{792 a^{2} b^{3} d^{2} e^{m} m x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{360 a^{2} b^{3} d^{2} e^{m} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{a b^{4} d^{2} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{16 a b^{4} d^{2} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{95 a b^{4} d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{260 a b^{4} d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{324 a b^{4} d^{2} e^{m} m x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{144 a b^{4} d^{2} e^{m} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{b^{5} d^{2} e^{m} m^{5} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{15 b^{5} d^{2} e^{m} m^{4} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{85 b^{5} d^{2} e^{m} m^{3} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{225 b^{5} d^{2} e^{m} m^{2} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{274 b^{5} d^{2} e^{m} m x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{120 b^{5} d^{2} e^{m} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**5*d**2/(5*x**5) - a**4*b*d**2/(4*x**4) + 2*a**3*b**2*d**2/(3*x**3) + a**2*b**3*d**2/x**2 - a*b**4*d**2/x + b**5*d**2*log(x))/e**6, Eq(m, -6)), ((-a**5*d**2/(4*x**4) - a**4*b*d**2/(3*x**3) + a**3*b**2*d**2/x**2 + 2*a**2*b**3*d**2/x + a*b**4*d**2*log(x) + b**5*d**2*x)/e**5, Eq(m, -5)), ((-a**5*d**2/(3*x**3) - a**4*b*d**2/(2*x**2) + 2*a**3*b**2*d**2/x - 2*a**2*b**3*d**2*log(x) + a*b**4*d**2*x + b**5*d**2*x**2/2)/e**4, Eq(m, -4)), ((-a**5*d**2/(2*x**2) - a**4*b*d**2/x - 2*a**3*b**2*d**2*log(x) - 2*a**2*b**3*d**2*x + a*b**4*d**2*x**2/2 + b**5*d**2*x**3/3)/e**3, Eq(m, -3)), ((-a**5*d**2/x + a**4*b*d**2*log(x) - 2*a**3*b**2*d**2*x - a**2*b**3*d**2*x**2 + a*b**4*d**2*x**3/3 + b**5*d**2*x**4/4)/e**2, Eq(m, -2)), ((a**5*d**2*log(x) + a**4*b*d**2*x - a**3*b**2*d**2*x**2 - 2*a**2*b**3*d**2*x**3/3 + a*b**4*d**2*x**4/4 + b**5*d**2*x**5/5)/e, Eq(m, -1)), (a**5*d**2*e**m*m**5*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 20*a**5*d**2*e**m*m**4*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 155*a**5*d**2*e**m*m**3*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 580*a**5*d**2*e**m*m**2*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1044*a**5*d**2*e**m*m*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 720*a**5*d**2*e**m*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + a**4*b*d**2*e**m*m**5*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 19*a**4*b*d**2*e**m*m**4*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 137*a**4*b*d**2*e**m*m**3*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 461*a**4*b*d**2*e**m*m**2*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 702*a**4*b*d**2*e**m*m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 360*a**4*b*d**2*e**m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 2*a**3*b**2*d**2*e**m*m**5*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 36*a**3*b**2*d**2*e**m*m**4*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 242*a**3*b**2*d**2*e**m*m**3*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 744*a**3*b**2*d**2*e**m*m**2*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 1016*a**3*b**2*d**2*e**m*m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 480*a**3*b**2*d**2*e**m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 2*a**2*b**3*d**2*e**m*m**5*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 34*a**2*b**3*d**2*e**m*m**4*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 214*a**2*b**3*d**2*e**m*m**3*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 614*a**2*b**3*d**2*e**m*m**2*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 792*a**2*b**3*d**2*e**m*m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 360*a**2*b**3*d**2*e**m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + a*b**4*d**2*e**m*m**5*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 16*a*b**4*d**2*e**m*m**4*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 95*a*b**4*d**2*e**m*m**3*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 260*a*b**4*d**2*e**m*m**2*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 324*a*b**4*d**2*e**m*m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 144*a*b**4*d**2*e**m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + b**5*d**2*e**m*m**5*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 15*b**5*d**2*e**m*m**4*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 85*b**5*d**2*e**m*m**3*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 225*b**5*d**2*e**m*m**2*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 274*b**5*d**2*e**m*m*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 120*b**5*d**2*e**m*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720), True))","A",0
64,1,768,0,1.146929," ","integrate((e*x)**m*(b*x+a)**2*(-b*d*x+a*d),x)","\begin{cases} \frac{- \frac{a^{3} d}{3 x^{3}} - \frac{a^{2} b d}{2 x^{2}} + \frac{a b^{2} d}{x} - b^{3} d \log{\left(x \right)}}{e^{4}} & \text{for}\: m = -4 \\\frac{- \frac{a^{3} d}{2 x^{2}} - \frac{a^{2} b d}{x} - a b^{2} d \log{\left(x \right)} - b^{3} d x}{e^{3}} & \text{for}\: m = -3 \\\frac{- \frac{a^{3} d}{x} + a^{2} b d \log{\left(x \right)} - a b^{2} d x - \frac{b^{3} d x^{2}}{2}}{e^{2}} & \text{for}\: m = -2 \\\frac{a^{3} d \log{\left(x \right)} + a^{2} b d x - \frac{a b^{2} d x^{2}}{2} - \frac{b^{3} d x^{3}}{3}}{e} & \text{for}\: m = -1 \\\frac{a^{3} d e^{m} m^{3} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{9 a^{3} d e^{m} m^{2} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{26 a^{3} d e^{m} m x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{24 a^{3} d e^{m} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{a^{2} b d e^{m} m^{3} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{8 a^{2} b d e^{m} m^{2} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{19 a^{2} b d e^{m} m x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{12 a^{2} b d e^{m} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{a b^{2} d e^{m} m^{3} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{7 a b^{2} d e^{m} m^{2} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{14 a b^{2} d e^{m} m x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{8 a b^{2} d e^{m} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{b^{3} d e^{m} m^{3} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{6 b^{3} d e^{m} m^{2} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{11 b^{3} d e^{m} m x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{6 b^{3} d e^{m} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*d/(3*x**3) - a**2*b*d/(2*x**2) + a*b**2*d/x - b**3*d*log(x))/e**4, Eq(m, -4)), ((-a**3*d/(2*x**2) - a**2*b*d/x - a*b**2*d*log(x) - b**3*d*x)/e**3, Eq(m, -3)), ((-a**3*d/x + a**2*b*d*log(x) - a*b**2*d*x - b**3*d*x**2/2)/e**2, Eq(m, -2)), ((a**3*d*log(x) + a**2*b*d*x - a*b**2*d*x**2/2 - b**3*d*x**3/3)/e, Eq(m, -1)), (a**3*d*e**m*m**3*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 9*a**3*d*e**m*m**2*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 26*a**3*d*e**m*m*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*a**3*d*e**m*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + a**2*b*d*e**m*m**3*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 8*a**2*b*d*e**m*m**2*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 19*a**2*b*d*e**m*m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 12*a**2*b*d*e**m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - a*b**2*d*e**m*m**3*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 7*a*b**2*d*e**m*m**2*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 14*a*b**2*d*e**m*m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 8*a*b**2*d*e**m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - b**3*d*e**m*m**3*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 6*b**3*d*e**m*m**2*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 11*b**3*d*e**m*m*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 6*b**3*d*e**m*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24), True))","A",0
65,1,440,0,3.825772," ","integrate((e*x)**m/(b*x+a)/(-b*d*x+a*d)**2,x)","- \frac{2 a e^{m} m^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b d^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} d^{2} x \Gamma\left(1 - m\right)} + \frac{a e^{m} m x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b d^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} d^{2} x \Gamma\left(1 - m\right)} - \frac{a e^{m} m x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b d^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} d^{2} x \Gamma\left(1 - m\right)} + \frac{2 b e^{m} m^{2} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b d^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} d^{2} x \Gamma\left(1 - m\right)} - \frac{b e^{m} m x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b d^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} d^{2} x \Gamma\left(1 - m\right)} + \frac{b e^{m} m x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b d^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} d^{2} x \Gamma\left(1 - m\right)} + \frac{2 b e^{m} m x x^{m} \Gamma\left(- m\right)}{- 4 a^{3} b d^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} d^{2} x \Gamma\left(1 - m\right)}"," ",0,"-2*a*e**m*m**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*d**2*gamma(1 - m) + 4*a**2*b**2*d**2*x*gamma(1 - m)) + a*e**m*m*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*d**2*gamma(1 - m) + 4*a**2*b**2*d**2*x*gamma(1 - m)) - a*e**m*m*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*d**2*gamma(1 - m) + 4*a**2*b**2*d**2*x*gamma(1 - m)) + 2*b*e**m*m**2*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*d**2*gamma(1 - m) + 4*a**2*b**2*d**2*x*gamma(1 - m)) - b*e**m*m*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*d**2*gamma(1 - m) + 4*a**2*b**2*d**2*x*gamma(1 - m)) + b*e**m*m*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*d**2*gamma(1 - m) + 4*a**2*b**2*d**2*x*gamma(1 - m)) + 2*b*e**m*m*x*x**m*gamma(-m)/(-4*a**3*b*d**2*gamma(1 - m) + 4*a**2*b**2*d**2*x*gamma(1 - m))","C",0
66,1,2717,0,7.369154," ","integrate((e*x)**m/(b*x+a)**2/(-b*d*x+a*d)**3,x)","- \frac{2 a^{3} e^{m} m^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{6 a^{3} e^{m} m^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{2 a^{3} e^{m} m^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{3 a^{3} e^{m} m x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{3 a^{3} e^{m} m x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{2 a^{2} b e^{m} m^{3} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{6 a^{2} b e^{m} m^{2} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{2 a^{2} b e^{m} m^{2} x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{2 a^{2} b e^{m} m^{2} x x^{m} \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{3 a^{2} b e^{m} m x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{3 a^{2} b e^{m} m x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{10 a^{2} b e^{m} m x x^{m} \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{2 a b^{2} e^{m} m^{3} x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{6 a b^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{2 a b^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{3 a b^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{3 a b^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{2 a b^{2} e^{m} m x^{2} x^{m} \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{2 b^{3} e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{6 b^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{2 b^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{2 b^{3} e^{m} m^{2} x^{3} x^{m} \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} - \frac{3 b^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{3 b^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)} + \frac{4 b^{3} e^{m} m x^{3} x^{m} \Gamma\left(- m\right)}{16 a^{7} b d^{3} \Gamma\left(1 - m\right) - 16 a^{6} b^{2} d^{3} x \Gamma\left(1 - m\right) - 16 a^{5} b^{3} d^{3} x^{2} \Gamma\left(1 - m\right) + 16 a^{4} b^{4} d^{3} x^{3} \Gamma\left(1 - m\right)}"," ",0,"-2*a**3*e**m*m**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 6*a**3*e**m*m**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 2*a**3*e**m*m**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 3*a**3*e**m*m*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 3*a**3*e**m*m*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 2*a**2*b*e**m*m**3*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 6*a**2*b*e**m*m**2*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 2*a**2*b*e**m*m**2*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 2*a**2*b*e**m*m**2*x*x**m*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 3*a**2*b*e**m*m*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 3*a**2*b*e**m*m*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 10*a**2*b*e**m*m*x*x**m*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 2*a*b**2*e**m*m**3*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 6*a*b**2*e**m*m**2*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 2*a*b**2*e**m*m**2*x**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 3*a*b**2*e**m*m*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 3*a*b**2*e**m*m*x**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 2*a*b**2*e**m*m*x**2*x**m*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 2*b**3*e**m*m**3*x**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 6*b**3*e**m*m**2*x**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 2*b**3*e**m*m**2*x**3*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 2*b**3*e**m*m**2*x**3*x**m*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) - 3*b**3*e**m*m*x**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 3*b**3*e**m*m*x**3*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m)) + 4*b**3*e**m*m*x**3*x**m*gamma(-m)/(16*a**7*b*d**3*gamma(1 - m) - 16*a**6*b**2*d**3*x*gamma(1 - m) - 16*a**5*b**3*d**3*x**2*gamma(1 - m) + 16*a**4*b**4*d**3*x**3*gamma(1 - m))","C",0
67,1,8284,0,13.416667," ","integrate((e*x)**m/(b*x+a)**3/(-b*d*x+a*d)**4,x)","- \frac{2 a^{5} e^{m} m^{4} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 a^{5} e^{m} m^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{3 a^{5} e^{m} m^{3} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{31 a^{5} e^{m} m^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 a^{5} e^{m} m^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 a^{5} e^{m} m x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 a^{5} e^{m} m x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{2 a^{4} b e^{m} m^{4} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 a^{4} b e^{m} m^{3} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{3 a^{4} b e^{m} m^{3} x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{2 a^{4} b e^{m} m^{3} x x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{31 a^{4} b e^{m} m^{2} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 a^{4} b e^{m} m^{2} x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{20 a^{4} b e^{m} m^{2} x x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 a^{4} b e^{m} m x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 a^{4} b e^{m} m x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{66 a^{4} b e^{m} m x x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{4 a^{3} b^{2} e^{m} m^{4} x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{30 a^{3} b^{2} e^{m} m^{3} x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{6 a^{3} b^{2} e^{m} m^{3} x^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{62 a^{3} b^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{30 a^{3} b^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{4 a^{3} b^{2} e^{m} m^{2} x^{2} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{30 a^{3} b^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{30 a^{3} b^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{18 a^{3} b^{2} e^{m} m x^{2} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{4 a^{2} b^{3} e^{m} m^{4} x^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{30 a^{2} b^{3} e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{6 a^{2} b^{3} e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{4 a^{2} b^{3} e^{m} m^{3} x^{3} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{62 a^{2} b^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{30 a^{2} b^{3} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{32 a^{2} b^{3} e^{m} m^{2} x^{3} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{30 a^{2} b^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{30 a^{2} b^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{62 a^{2} b^{3} e^{m} m x^{3} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{2 a b^{4} e^{m} m^{4} x^{4} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 a b^{4} e^{m} m^{3} x^{4} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{3 a b^{4} e^{m} m^{3} x^{4} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{31 a b^{4} e^{m} m^{2} x^{4} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 a b^{4} e^{m} m^{2} x^{4} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{4 a b^{4} e^{m} m^{2} x^{4} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 a b^{4} e^{m} m x^{4} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 a b^{4} e^{m} m x^{4} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{14 a b^{4} e^{m} m x^{4} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{2 b^{5} e^{m} m^{4} x^{5} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 b^{5} e^{m} m^{3} x^{5} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{3 b^{5} e^{m} m^{3} x^{5} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{2 b^{5} e^{m} m^{3} x^{5} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{31 b^{5} e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 b^{5} e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{12 b^{5} e^{m} m^{2} x^{5} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} - \frac{15 b^{5} e^{m} m x^{5} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{15 b^{5} e^{m} m x^{5} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)} + \frac{16 b^{5} e^{m} m x^{5} x^{m} \Gamma\left(- m\right)}{- 96 a^{11} b d^{4} \Gamma\left(1 - m\right) + 96 a^{10} b^{2} d^{4} x \Gamma\left(1 - m\right) + 192 a^{9} b^{3} d^{4} x^{2} \Gamma\left(1 - m\right) - 192 a^{8} b^{4} d^{4} x^{3} \Gamma\left(1 - m\right) - 96 a^{7} b^{5} d^{4} x^{4} \Gamma\left(1 - m\right) + 96 a^{6} b^{6} d^{4} x^{5} \Gamma\left(1 - m\right)}"," ",0,"-2*a**5*e**m*m**4*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*a**5*e**m*m**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 3*a**5*e**m*m**3*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 31*a**5*e**m*m**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*a**5*e**m*m**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*a**5*e**m*m*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*a**5*e**m*m*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 2*a**4*b*e**m*m**4*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*a**4*b*e**m*m**3*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 3*a**4*b*e**m*m**3*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 2*a**4*b*e**m*m**3*x*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 31*a**4*b*e**m*m**2*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*a**4*b*e**m*m**2*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 20*a**4*b*e**m*m**2*x*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*a**4*b*e**m*m*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*a**4*b*e**m*m*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 66*a**4*b*e**m*m*x*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 4*a**3*b**2*e**m*m**4*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 30*a**3*b**2*e**m*m**3*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 6*a**3*b**2*e**m*m**3*x**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 62*a**3*b**2*e**m*m**2*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 30*a**3*b**2*e**m*m**2*x**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 4*a**3*b**2*e**m*m**2*x**2*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 30*a**3*b**2*e**m*m*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 30*a**3*b**2*e**m*m*x**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 18*a**3*b**2*e**m*m*x**2*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 4*a**2*b**3*e**m*m**4*x**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 30*a**2*b**3*e**m*m**3*x**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 6*a**2*b**3*e**m*m**3*x**3*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 4*a**2*b**3*e**m*m**3*x**3*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 62*a**2*b**3*e**m*m**2*x**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 30*a**2*b**3*e**m*m**2*x**3*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 32*a**2*b**3*e**m*m**2*x**3*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 30*a**2*b**3*e**m*m*x**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 30*a**2*b**3*e**m*m*x**3*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 62*a**2*b**3*e**m*m*x**3*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 2*a*b**4*e**m*m**4*x**4*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*a*b**4*e**m*m**3*x**4*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 3*a*b**4*e**m*m**3*x**4*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 31*a*b**4*e**m*m**2*x**4*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*a*b**4*e**m*m**2*x**4*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 4*a*b**4*e**m*m**2*x**4*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*a*b**4*e**m*m*x**4*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*a*b**4*e**m*m*x**4*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 14*a*b**4*e**m*m*x**4*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 2*b**5*e**m*m**4*x**5*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*b**5*e**m*m**3*x**5*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 3*b**5*e**m*m**3*x**5*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 2*b**5*e**m*m**3*x**5*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 31*b**5*e**m*m**2*x**5*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*b**5*e**m*m**2*x**5*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 12*b**5*e**m*m**2*x**5*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) - 15*b**5*e**m*m*x**5*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 15*b**5*e**m*m*x**5*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m)) + 16*b**5*e**m*m*x**5*x**m*gamma(-m)/(-96*a**11*b*d**4*gamma(1 - m) + 96*a**10*b**2*d**4*x*gamma(1 - m) + 192*a**9*b**3*d**4*x**2*gamma(1 - m) - 192*a**8*b**4*d**4*x**3*gamma(1 - m) - 96*a**7*b**5*d**4*x**4*gamma(1 - m) + 96*a**6*b**6*d**4*x**5*gamma(1 - m))","C",0
68,1,2338,0,2.193245," ","integrate((e*x)**m*(b*x+a)*(-b*c*x+a*c)**4,x)","\begin{cases} \frac{- \frac{a^{5} c^{4}}{5 x^{5}} + \frac{3 a^{4} b c^{4}}{4 x^{4}} - \frac{2 a^{3} b^{2} c^{4}}{3 x^{3}} - \frac{a^{2} b^{3} c^{4}}{x^{2}} + \frac{3 a b^{4} c^{4}}{x} + b^{5} c^{4} \log{\left(x \right)}}{e^{6}} & \text{for}\: m = -6 \\\frac{- \frac{a^{5} c^{4}}{4 x^{4}} + \frac{a^{4} b c^{4}}{x^{3}} - \frac{a^{3} b^{2} c^{4}}{x^{2}} - \frac{2 a^{2} b^{3} c^{4}}{x} - 3 a b^{4} c^{4} \log{\left(x \right)} + b^{5} c^{4} x}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{a^{5} c^{4}}{3 x^{3}} + \frac{3 a^{4} b c^{4}}{2 x^{2}} - \frac{2 a^{3} b^{2} c^{4}}{x} + 2 a^{2} b^{3} c^{4} \log{\left(x \right)} - 3 a b^{4} c^{4} x + \frac{b^{5} c^{4} x^{2}}{2}}{e^{4}} & \text{for}\: m = -4 \\\frac{- \frac{a^{5} c^{4}}{2 x^{2}} + \frac{3 a^{4} b c^{4}}{x} + 2 a^{3} b^{2} c^{4} \log{\left(x \right)} + 2 a^{2} b^{3} c^{4} x - \frac{3 a b^{4} c^{4} x^{2}}{2} + \frac{b^{5} c^{4} x^{3}}{3}}{e^{3}} & \text{for}\: m = -3 \\\frac{- \frac{a^{5} c^{4}}{x} - 3 a^{4} b c^{4} \log{\left(x \right)} + 2 a^{3} b^{2} c^{4} x + a^{2} b^{3} c^{4} x^{2} - a b^{4} c^{4} x^{3} + \frac{b^{5} c^{4} x^{4}}{4}}{e^{2}} & \text{for}\: m = -2 \\\frac{a^{5} c^{4} \log{\left(x \right)} - 3 a^{4} b c^{4} x + a^{3} b^{2} c^{4} x^{2} + \frac{2 a^{2} b^{3} c^{4} x^{3}}{3} - \frac{3 a b^{4} c^{4} x^{4}}{4} + \frac{b^{5} c^{4} x^{5}}{5}}{e} & \text{for}\: m = -1 \\\frac{a^{5} c^{4} e^{m} m^{5} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{20 a^{5} c^{4} e^{m} m^{4} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{155 a^{5} c^{4} e^{m} m^{3} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{580 a^{5} c^{4} e^{m} m^{2} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1044 a^{5} c^{4} e^{m} m x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{720 a^{5} c^{4} e^{m} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{3 a^{4} b c^{4} e^{m} m^{5} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{57 a^{4} b c^{4} e^{m} m^{4} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{411 a^{4} b c^{4} e^{m} m^{3} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{1383 a^{4} b c^{4} e^{m} m^{2} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{2106 a^{4} b c^{4} e^{m} m x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{1080 a^{4} b c^{4} e^{m} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2 a^{3} b^{2} c^{4} e^{m} m^{5} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{36 a^{3} b^{2} c^{4} e^{m} m^{4} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{242 a^{3} b^{2} c^{4} e^{m} m^{3} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{744 a^{3} b^{2} c^{4} e^{m} m^{2} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1016 a^{3} b^{2} c^{4} e^{m} m x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{480 a^{3} b^{2} c^{4} e^{m} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2 a^{2} b^{3} c^{4} e^{m} m^{5} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{34 a^{2} b^{3} c^{4} e^{m} m^{4} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{214 a^{2} b^{3} c^{4} e^{m} m^{3} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{614 a^{2} b^{3} c^{4} e^{m} m^{2} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{792 a^{2} b^{3} c^{4} e^{m} m x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{360 a^{2} b^{3} c^{4} e^{m} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{3 a b^{4} c^{4} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{48 a b^{4} c^{4} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{285 a b^{4} c^{4} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{780 a b^{4} c^{4} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{972 a b^{4} c^{4} e^{m} m x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} - \frac{432 a b^{4} c^{4} e^{m} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{b^{5} c^{4} e^{m} m^{5} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{15 b^{5} c^{4} e^{m} m^{4} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{85 b^{5} c^{4} e^{m} m^{3} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{225 b^{5} c^{4} e^{m} m^{2} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{274 b^{5} c^{4} e^{m} m x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{120 b^{5} c^{4} e^{m} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**5*c**4/(5*x**5) + 3*a**4*b*c**4/(4*x**4) - 2*a**3*b**2*c**4/(3*x**3) - a**2*b**3*c**4/x**2 + 3*a*b**4*c**4/x + b**5*c**4*log(x))/e**6, Eq(m, -6)), ((-a**5*c**4/(4*x**4) + a**4*b*c**4/x**3 - a**3*b**2*c**4/x**2 - 2*a**2*b**3*c**4/x - 3*a*b**4*c**4*log(x) + b**5*c**4*x)/e**5, Eq(m, -5)), ((-a**5*c**4/(3*x**3) + 3*a**4*b*c**4/(2*x**2) - 2*a**3*b**2*c**4/x + 2*a**2*b**3*c**4*log(x) - 3*a*b**4*c**4*x + b**5*c**4*x**2/2)/e**4, Eq(m, -4)), ((-a**5*c**4/(2*x**2) + 3*a**4*b*c**4/x + 2*a**3*b**2*c**4*log(x) + 2*a**2*b**3*c**4*x - 3*a*b**4*c**4*x**2/2 + b**5*c**4*x**3/3)/e**3, Eq(m, -3)), ((-a**5*c**4/x - 3*a**4*b*c**4*log(x) + 2*a**3*b**2*c**4*x + a**2*b**3*c**4*x**2 - a*b**4*c**4*x**3 + b**5*c**4*x**4/4)/e**2, Eq(m, -2)), ((a**5*c**4*log(x) - 3*a**4*b*c**4*x + a**3*b**2*c**4*x**2 + 2*a**2*b**3*c**4*x**3/3 - 3*a*b**4*c**4*x**4/4 + b**5*c**4*x**5/5)/e, Eq(m, -1)), (a**5*c**4*e**m*m**5*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 20*a**5*c**4*e**m*m**4*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 155*a**5*c**4*e**m*m**3*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 580*a**5*c**4*e**m*m**2*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1044*a**5*c**4*e**m*m*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 720*a**5*c**4*e**m*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 3*a**4*b*c**4*e**m*m**5*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 57*a**4*b*c**4*e**m*m**4*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 411*a**4*b*c**4*e**m*m**3*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 1383*a**4*b*c**4*e**m*m**2*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 2106*a**4*b*c**4*e**m*m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 1080*a**4*b*c**4*e**m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2*a**3*b**2*c**4*e**m*m**5*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 36*a**3*b**2*c**4*e**m*m**4*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 242*a**3*b**2*c**4*e**m*m**3*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 744*a**3*b**2*c**4*e**m*m**2*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1016*a**3*b**2*c**4*e**m*m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 480*a**3*b**2*c**4*e**m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2*a**2*b**3*c**4*e**m*m**5*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 34*a**2*b**3*c**4*e**m*m**4*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 214*a**2*b**3*c**4*e**m*m**3*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 614*a**2*b**3*c**4*e**m*m**2*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 792*a**2*b**3*c**4*e**m*m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 360*a**2*b**3*c**4*e**m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 3*a*b**4*c**4*e**m*m**5*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 48*a*b**4*c**4*e**m*m**4*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 285*a*b**4*c**4*e**m*m**3*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 780*a*b**4*c**4*e**m*m**2*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 972*a*b**4*c**4*e**m*m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) - 432*a*b**4*c**4*e**m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + b**5*c**4*e**m*m**5*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 15*b**5*c**4*e**m*m**4*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 85*b**5*c**4*e**m*m**3*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 225*b**5*c**4*e**m*m**2*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 274*b**5*c**4*e**m*m*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 120*b**5*c**4*e**m*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720), True))","A",0
69,1,838,0,1.732816," ","integrate((e*x)**m*(b*x+a)*(-b*c*x+a*c)**3,x)","\begin{cases} \frac{- \frac{a^{4} c^{3}}{4 x^{4}} + \frac{2 a^{3} b c^{3}}{3 x^{3}} - \frac{2 a b^{3} c^{3}}{x} - b^{4} c^{3} \log{\left(x \right)}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{a^{4} c^{3}}{3 x^{3}} + \frac{a^{3} b c^{3}}{x^{2}} + 2 a b^{3} c^{3} \log{\left(x \right)} - b^{4} c^{3} x}{e^{4}} & \text{for}\: m = -4 \\\frac{- \frac{a^{4} c^{3}}{x} - 2 a^{3} b c^{3} \log{\left(x \right)} + a b^{3} c^{3} x^{2} - \frac{b^{4} c^{3} x^{3}}{3}}{e^{2}} & \text{for}\: m = -2 \\\frac{a^{4} c^{3} \log{\left(x \right)} - 2 a^{3} b c^{3} x + \frac{2 a b^{3} c^{3} x^{3}}{3} - \frac{b^{4} c^{3} x^{4}}{4}}{e} & \text{for}\: m = -1 \\\frac{a^{4} c^{3} e^{m} m^{3} x x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} + \frac{11 a^{4} c^{3} e^{m} m^{2} x x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} + \frac{38 a^{4} c^{3} e^{m} m x x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} + \frac{40 a^{4} c^{3} e^{m} x x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{2 a^{3} b c^{3} e^{m} m^{3} x^{2} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{20 a^{3} b c^{3} e^{m} m^{2} x^{2} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{58 a^{3} b c^{3} e^{m} m x^{2} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{40 a^{3} b c^{3} e^{m} x^{2} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} + \frac{2 a b^{3} c^{3} e^{m} m^{3} x^{4} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} + \frac{16 a b^{3} c^{3} e^{m} m^{2} x^{4} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} + \frac{34 a b^{3} c^{3} e^{m} m x^{4} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} + \frac{20 a b^{3} c^{3} e^{m} x^{4} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{b^{4} c^{3} e^{m} m^{3} x^{5} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{7 b^{4} c^{3} e^{m} m^{2} x^{5} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{14 b^{4} c^{3} e^{m} m x^{5} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} - \frac{8 b^{4} c^{3} e^{m} x^{5} x^{m}}{m^{4} + 12 m^{3} + 49 m^{2} + 78 m + 40} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**4*c**3/(4*x**4) + 2*a**3*b*c**3/(3*x**3) - 2*a*b**3*c**3/x - b**4*c**3*log(x))/e**5, Eq(m, -5)), ((-a**4*c**3/(3*x**3) + a**3*b*c**3/x**2 + 2*a*b**3*c**3*log(x) - b**4*c**3*x)/e**4, Eq(m, -4)), ((-a**4*c**3/x - 2*a**3*b*c**3*log(x) + a*b**3*c**3*x**2 - b**4*c**3*x**3/3)/e**2, Eq(m, -2)), ((a**4*c**3*log(x) - 2*a**3*b*c**3*x + 2*a*b**3*c**3*x**3/3 - b**4*c**3*x**4/4)/e, Eq(m, -1)), (a**4*c**3*e**m*m**3*x*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) + 11*a**4*c**3*e**m*m**2*x*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) + 38*a**4*c**3*e**m*m*x*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) + 40*a**4*c**3*e**m*x*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - 2*a**3*b*c**3*e**m*m**3*x**2*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - 20*a**3*b*c**3*e**m*m**2*x**2*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - 58*a**3*b*c**3*e**m*m*x**2*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - 40*a**3*b*c**3*e**m*x**2*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) + 2*a*b**3*c**3*e**m*m**3*x**4*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) + 16*a*b**3*c**3*e**m*m**2*x**4*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) + 34*a*b**3*c**3*e**m*m*x**4*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) + 20*a*b**3*c**3*e**m*x**4*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - b**4*c**3*e**m*m**3*x**5*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - 7*b**4*c**3*e**m*m**2*x**5*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - 14*b**4*c**3*e**m*m*x**5*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40) - 8*b**4*c**3*e**m*x**5*x**m/(m**4 + 12*m**3 + 49*m**2 + 78*m + 40), True))","A",0
70,1,821,0,1.234029," ","integrate((e*x)**m*(b*x+a)*(-b*c*x+a*c)**2,x)","\begin{cases} \frac{- \frac{a^{3} c^{2}}{3 x^{3}} + \frac{a^{2} b c^{2}}{2 x^{2}} + \frac{a b^{2} c^{2}}{x} + b^{3} c^{2} \log{\left(x \right)}}{e^{4}} & \text{for}\: m = -4 \\\frac{- \frac{a^{3} c^{2}}{2 x^{2}} + \frac{a^{2} b c^{2}}{x} - a b^{2} c^{2} \log{\left(x \right)} + b^{3} c^{2} x}{e^{3}} & \text{for}\: m = -3 \\\frac{- \frac{a^{3} c^{2}}{x} - a^{2} b c^{2} \log{\left(x \right)} - a b^{2} c^{2} x + \frac{b^{3} c^{2} x^{2}}{2}}{e^{2}} & \text{for}\: m = -2 \\\frac{a^{3} c^{2} \log{\left(x \right)} - a^{2} b c^{2} x - \frac{a b^{2} c^{2} x^{2}}{2} + \frac{b^{3} c^{2} x^{3}}{3}}{e} & \text{for}\: m = -1 \\\frac{a^{3} c^{2} e^{m} m^{3} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{9 a^{3} c^{2} e^{m} m^{2} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{26 a^{3} c^{2} e^{m} m x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{24 a^{3} c^{2} e^{m} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{a^{2} b c^{2} e^{m} m^{3} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{8 a^{2} b c^{2} e^{m} m^{2} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{19 a^{2} b c^{2} e^{m} m x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{12 a^{2} b c^{2} e^{m} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{a b^{2} c^{2} e^{m} m^{3} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{7 a b^{2} c^{2} e^{m} m^{2} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{14 a b^{2} c^{2} e^{m} m x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{8 a b^{2} c^{2} e^{m} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{b^{3} c^{2} e^{m} m^{3} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{6 b^{3} c^{2} e^{m} m^{2} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{11 b^{3} c^{2} e^{m} m x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{6 b^{3} c^{2} e^{m} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*c**2/(3*x**3) + a**2*b*c**2/(2*x**2) + a*b**2*c**2/x + b**3*c**2*log(x))/e**4, Eq(m, -4)), ((-a**3*c**2/(2*x**2) + a**2*b*c**2/x - a*b**2*c**2*log(x) + b**3*c**2*x)/e**3, Eq(m, -3)), ((-a**3*c**2/x - a**2*b*c**2*log(x) - a*b**2*c**2*x + b**3*c**2*x**2/2)/e**2, Eq(m, -2)), ((a**3*c**2*log(x) - a**2*b*c**2*x - a*b**2*c**2*x**2/2 + b**3*c**2*x**3/3)/e, Eq(m, -1)), (a**3*c**2*e**m*m**3*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 9*a**3*c**2*e**m*m**2*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 26*a**3*c**2*e**m*m*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*a**3*c**2*e**m*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - a**2*b*c**2*e**m*m**3*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 8*a**2*b*c**2*e**m*m**2*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 19*a**2*b*c**2*e**m*m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 12*a**2*b*c**2*e**m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - a*b**2*c**2*e**m*m**3*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 7*a*b**2*c**2*e**m*m**2*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 14*a*b**2*c**2*e**m*m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 8*a*b**2*c**2*e**m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + b**3*c**2*e**m*m**3*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 6*b**3*c**2*e**m*m**2*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 11*b**3*c**2*e**m*m*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 6*b**3*c**2*e**m*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24), True))","A",0
71,1,141,0,0.715455," ","integrate((e*x)**m*(b*x+a)*(-b*c*x+a*c),x)","\begin{cases} \frac{- \frac{a^{2} c}{2 x^{2}} - b^{2} c \log{\left(x \right)}}{e^{3}} & \text{for}\: m = -3 \\\frac{a^{2} c \log{\left(x \right)} - \frac{b^{2} c x^{2}}{2}}{e} & \text{for}\: m = -1 \\\frac{a^{2} c e^{m} m x x^{m}}{m^{2} + 4 m + 3} + \frac{3 a^{2} c e^{m} x x^{m}}{m^{2} + 4 m + 3} - \frac{b^{2} c e^{m} m x^{3} x^{m}}{m^{2} + 4 m + 3} - \frac{b^{2} c e^{m} x^{3} x^{m}}{m^{2} + 4 m + 3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*c/(2*x**2) - b**2*c*log(x))/e**3, Eq(m, -3)), ((a**2*c*log(x) - b**2*c*x**2/2)/e, Eq(m, -1)), (a**2*c*e**m*m*x*x**m/(m**2 + 4*m + 3) + 3*a**2*c*e**m*x*x**m/(m**2 + 4*m + 3) - b**2*c*e**m*m*x**3*x**m/(m**2 + 4*m + 3) - b**2*c*e**m*x**3*x**m/(m**2 + 4*m + 3), True))","A",0
72,1,129,0,5.693250," ","integrate((e*x)**m*(b*x+a)/(-b*c*x+a*c),x)","\frac{e^{m} m x x^{m} \Phi\left(\frac{b x}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{c \Gamma\left(m + 2\right)} + \frac{e^{m} x x^{m} \Phi\left(\frac{b x}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{c \Gamma\left(m + 2\right)} + \frac{b e^{m} m x^{2} x^{m} \Phi\left(\frac{b x}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a c \Gamma\left(m + 3\right)} + \frac{2 b e^{m} x^{2} x^{m} \Phi\left(\frac{b x}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a c \Gamma\left(m + 3\right)}"," ",0,"e**m*m*x*x**m*lerchphi(b*x/a, 1, m + 1)*gamma(m + 1)/(c*gamma(m + 2)) + e**m*x*x**m*lerchphi(b*x/a, 1, m + 1)*gamma(m + 1)/(c*gamma(m + 2)) + b*e**m*m*x**2*x**m*lerchphi(b*x/a, 1, m + 2)*gamma(m + 2)/(a*c*gamma(m + 3)) + 2*b*e**m*x**2*x**m*lerchphi(b*x/a, 1, m + 2)*gamma(m + 2)/(a*c*gamma(m + 3))","B",0
73,1,799,0,9.208230," ","integrate((e*x)**m*(b*x+a)/(-b*c*x+a*c)**2,x)","a \left(\frac{a e^{m} m^{2} x x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{- a^{3} c^{2} \Gamma\left(m + 2\right) + a^{2} b c^{2} x \Gamma\left(m + 2\right)} + \frac{a e^{m} m x x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{- a^{3} c^{2} \Gamma\left(m + 2\right) + a^{2} b c^{2} x \Gamma\left(m + 2\right)} - \frac{a e^{m} m x x^{m} \Gamma\left(m + 1\right)}{- a^{3} c^{2} \Gamma\left(m + 2\right) + a^{2} b c^{2} x \Gamma\left(m + 2\right)} - \frac{a e^{m} x x^{m} \Gamma\left(m + 1\right)}{- a^{3} c^{2} \Gamma\left(m + 2\right) + a^{2} b c^{2} x \Gamma\left(m + 2\right)} - \frac{b e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{- a^{3} c^{2} \Gamma\left(m + 2\right) + a^{2} b c^{2} x \Gamma\left(m + 2\right)} - \frac{b e^{m} m x^{2} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{- a^{3} c^{2} \Gamma\left(m + 2\right) + a^{2} b c^{2} x \Gamma\left(m + 2\right)}\right) + b \left(\frac{a e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)} + \frac{3 a e^{m} m x^{2} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)} - \frac{a e^{m} m x^{2} x^{m} \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)} + \frac{2 a e^{m} x^{2} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)} - \frac{2 a e^{m} x^{2} x^{m} \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)} - \frac{b e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)} - \frac{3 b e^{m} m x^{3} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)} - \frac{2 b e^{m} x^{3} x^{m} \Phi\left(\frac{b x e^{2 i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{- a^{3} c^{2} \Gamma\left(m + 3\right) + a^{2} b c^{2} x \Gamma\left(m + 3\right)}\right)"," ",0,"a*(a*e**m*m**2*x*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 1)*gamma(m + 1)/(-a**3*c**2*gamma(m + 2) + a**2*b*c**2*x*gamma(m + 2)) + a*e**m*m*x*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 1)*gamma(m + 1)/(-a**3*c**2*gamma(m + 2) + a**2*b*c**2*x*gamma(m + 2)) - a*e**m*m*x*x**m*gamma(m + 1)/(-a**3*c**2*gamma(m + 2) + a**2*b*c**2*x*gamma(m + 2)) - a*e**m*x*x**m*gamma(m + 1)/(-a**3*c**2*gamma(m + 2) + a**2*b*c**2*x*gamma(m + 2)) - b*e**m*m**2*x**2*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 1)*gamma(m + 1)/(-a**3*c**2*gamma(m + 2) + a**2*b*c**2*x*gamma(m + 2)) - b*e**m*m*x**2*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 1)*gamma(m + 1)/(-a**3*c**2*gamma(m + 2) + a**2*b*c**2*x*gamma(m + 2))) + b*(a*e**m*m**2*x**2*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 2)*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)) + 3*a*e**m*m*x**2*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 2)*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)) - a*e**m*m*x**2*x**m*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)) + 2*a*e**m*x**2*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 2)*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)) - 2*a*e**m*x**2*x**m*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)) - b*e**m*m**2*x**3*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 2)*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)) - 3*b*e**m*m*x**3*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 2)*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)) - 2*b*e**m*x**3*x**m*lerchphi(b*x*exp_polar(2*I*pi)/a, 1, m + 2)*gamma(m + 2)/(-a**3*c**2*gamma(m + 3) + a**2*b*c**2*x*gamma(m + 3)))","C",0
74,1,340,0,6.518507," ","integrate((e*x)**m*(-b*c*x+a*c)**3/(b*x+a),x)","\frac{a^{2} c^{3} e^{m} m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{\Gamma\left(m + 2\right)} + \frac{a^{2} c^{3} e^{m} x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{\Gamma\left(m + 2\right)} - \frac{3 a b c^{3} e^{m} m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{\Gamma\left(m + 3\right)} - \frac{6 a b c^{3} e^{m} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{\Gamma\left(m + 3\right)} + \frac{3 b^{2} c^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{\Gamma\left(m + 4\right)} + \frac{9 b^{2} c^{3} e^{m} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{\Gamma\left(m + 4\right)} - \frac{b^{3} c^{3} e^{m} m x^{4} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 4\right) \Gamma\left(m + 4\right)}{a \Gamma\left(m + 5\right)} - \frac{4 b^{3} c^{3} e^{m} x^{4} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 4\right) \Gamma\left(m + 4\right)}{a \Gamma\left(m + 5\right)}"," ",0,"a**2*c**3*e**m*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/gamma(m + 2) + a**2*c**3*e**m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/gamma(m + 2) - 3*a*b*c**3*e**m*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/gamma(m + 3) - 6*a*b*c**3*e**m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/gamma(m + 3) + 3*b**2*c**3*e**m*m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/gamma(m + 4) + 9*b**2*c**3*e**m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/gamma(m + 4) - b**3*c**3*e**m*m*x**4*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 4)*gamma(m + 4)/(a*gamma(m + 5)) - 4*b**3*c**3*e**m*x**4*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 4)*gamma(m + 4)/(a*gamma(m + 5))","C",0
75,1,246,0,5.749760," ","integrate((e*x)**m*(-b*c*x+a*c)**2/(b*x+a),x)","\frac{a c^{2} e^{m} m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{\Gamma\left(m + 2\right)} + \frac{a c^{2} e^{m} x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{\Gamma\left(m + 2\right)} - \frac{2 b c^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{\Gamma\left(m + 3\right)} - \frac{4 b c^{2} e^{m} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{\Gamma\left(m + 3\right)} + \frac{b^{2} c^{2} e^{m} m x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{a \Gamma\left(m + 4\right)} + \frac{3 b^{2} c^{2} e^{m} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{a \Gamma\left(m + 4\right)}"," ",0,"a*c**2*e**m*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/gamma(m + 2) + a*c**2*e**m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/gamma(m + 2) - 2*b*c**2*e**m*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/gamma(m + 3) - 4*b*c**2*e**m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/gamma(m + 3) + b**2*c**2*e**m*m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/(a*gamma(m + 4)) + 3*b**2*c**2*e**m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/(a*gamma(m + 4))","C",0
76,1,150,0,4.455512," ","integrate((e*x)**m*(-b*c*x+a*c)/(b*x+a),x)","\frac{c e^{m} m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{\Gamma\left(m + 2\right)} + \frac{c e^{m} x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{\Gamma\left(m + 2\right)} - \frac{b c e^{m} m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)} - \frac{2 b c e^{m} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)}"," ",0,"c*e**m*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/gamma(m + 2) + c*e**m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/gamma(m + 2) - b*c*e**m*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3)) - 2*b*c*e**m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3))","C",0
77,1,73,0,2.218269," ","integrate((e*x)**m/(b*x+a)/(-b*c*x+a*c),x)","- \frac{e^{m} m x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a b c \Gamma\left(1 - m\right)} + \frac{e^{m} m x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m\right) \Gamma\left(- m\right)}{2 a b c \Gamma\left(1 - m\right)}"," ",0,"-e**m*m*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a*b*c*gamma(1 - m)) + e**m*m*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m)*gamma(-m)/(2*a*b*c*gamma(1 - m))","C",0
78,1,440,0,3.477134," ","integrate((e*x)**m/(b*x+a)/(-b*c*x+a*c)**2,x)","- \frac{2 a e^{m} m^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b c^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} c^{2} x \Gamma\left(1 - m\right)} + \frac{a e^{m} m x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b c^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} c^{2} x \Gamma\left(1 - m\right)} - \frac{a e^{m} m x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b c^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} c^{2} x \Gamma\left(1 - m\right)} + \frac{2 b e^{m} m^{2} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b c^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} c^{2} x \Gamma\left(1 - m\right)} - \frac{b e^{m} m x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b c^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} c^{2} x \Gamma\left(1 - m\right)} + \frac{b e^{m} m x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{- 4 a^{3} b c^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} c^{2} x \Gamma\left(1 - m\right)} + \frac{2 b e^{m} m x x^{m} \Gamma\left(- m\right)}{- 4 a^{3} b c^{2} \Gamma\left(1 - m\right) + 4 a^{2} b^{2} c^{2} x \Gamma\left(1 - m\right)}"," ",0,"-2*a*e**m*m**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*c**2*gamma(1 - m) + 4*a**2*b**2*c**2*x*gamma(1 - m)) + a*e**m*m*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*c**2*gamma(1 - m) + 4*a**2*b**2*c**2*x*gamma(1 - m)) - a*e**m*m*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*c**2*gamma(1 - m) + 4*a**2*b**2*c**2*x*gamma(1 - m)) + 2*b*e**m*m**2*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*c**2*gamma(1 - m) + 4*a**2*b**2*c**2*x*gamma(1 - m)) - b*e**m*m*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*c**2*gamma(1 - m) + 4*a**2*b**2*c**2*x*gamma(1 - m)) + b*e**m*m*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(-4*a**3*b*c**2*gamma(1 - m) + 4*a**2*b**2*c**2*x*gamma(1 - m)) + 2*b*e**m*m*x*x**m*gamma(-m)/(-4*a**3*b*c**2*gamma(1 - m) + 4*a**2*b**2*c**2*x*gamma(1 - m))","C",0
79,1,1363,0,5.127681," ","integrate((e*x)**m/(b*x+a)/(-b*c*x+a*c)**3,x)","- \frac{2 a^{2} e^{m} m^{3} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{4 a^{2} e^{m} m^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} - \frac{a^{2} e^{m} m x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{a^{2} e^{m} m x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{4 a b e^{m} m^{3} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} - \frac{8 a b e^{m} m^{2} x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{2 a b e^{m} m^{2} x x^{m} \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{2 a b e^{m} m x x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} - \frac{2 a b e^{m} m x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} - \frac{6 a b e^{m} m x x^{m} \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} - \frac{2 b^{2} e^{m} m^{3} x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{4 b^{2} e^{m} m^{2} x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} - \frac{2 b^{2} e^{m} m^{2} x^{2} x^{m} \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} - \frac{b^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{a}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{b^{2} e^{m} m x^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)} + \frac{4 b^{2} e^{m} m x^{2} x^{m} \Gamma\left(- m\right)}{8 a^{5} b c^{3} \Gamma\left(1 - m\right) - 16 a^{4} b^{2} c^{3} x \Gamma\left(1 - m\right) + 8 a^{3} b^{3} c^{3} x^{2} \Gamma\left(1 - m\right)}"," ",0,"-2*a**2*e**m*m**3*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + 4*a**2*e**m*m**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) - a**2*e**m*m*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + a**2*e**m*m*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + 4*a*b*e**m*m**3*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) - 8*a*b*e**m*m**2*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + 2*a*b*e**m*m**2*x*x**m*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + 2*a*b*e**m*m*x*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) - 2*a*b*e**m*m*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) - 6*a*b*e**m*m*x*x**m*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) - 2*b**2*e**m*m**3*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + 4*b**2*e**m*m**2*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) - 2*b**2*e**m*m**2*x**2*x**m*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) - b**2*e**m*m*x**2*x**m*lerchphi(a/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + b**2*e**m*m*x**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m)) + 4*b**2*e**m*m*x**2*x**m*gamma(-m)/(8*a**5*b*c**3*gamma(1 - m) - 16*a**4*b**2*c**3*x*gamma(1 - m) + 8*a**3*b**3*c**3*x**2*gamma(1 - m))","C",0
80,1,29,0,0.068408," ","integrate(x**4*(b*x+a)*(B*x+A),x)","\frac{A a x^{5}}{5} + \frac{B b x^{7}}{7} + x^{6} \left(\frac{A b}{6} + \frac{B a}{6}\right)"," ",0,"A*a*x**5/5 + B*b*x**7/7 + x**6*(A*b/6 + B*a/6)","A",0
81,1,29,0,0.066868," ","integrate(x**3*(b*x+a)*(B*x+A),x)","\frac{A a x^{4}}{4} + \frac{B b x^{6}}{6} + x^{5} \left(\frac{A b}{5} + \frac{B a}{5}\right)"," ",0,"A*a*x**4/4 + B*b*x**6/6 + x**5*(A*b/5 + B*a/5)","A",0
82,1,29,0,0.078223," ","integrate(x**2*(b*x+a)*(B*x+A),x)","\frac{A a x^{3}}{3} + \frac{B b x^{5}}{5} + x^{4} \left(\frac{A b}{4} + \frac{B a}{4}\right)"," ",0,"A*a*x**3/3 + B*b*x**5/5 + x**4*(A*b/4 + B*a/4)","A",0
83,1,29,0,0.076948," ","integrate(x*(b*x+a)*(B*x+A),x)","\frac{A a x^{2}}{2} + \frac{B b x^{4}}{4} + x^{3} \left(\frac{A b}{3} + \frac{B a}{3}\right)"," ",0,"A*a*x**2/2 + B*b*x**4/4 + x**3*(A*b/3 + B*a/3)","A",0
84,1,26,0,0.189843," ","integrate((b*x+a)*(B*x+A),x)","A a x + \frac{B b x^{3}}{3} + x^{2} \left(\frac{A b}{2} + \frac{B a}{2}\right)"," ",0,"A*a*x + B*b*x**3/3 + x**2*(A*b/2 + B*a/2)","A",0
85,1,22,0,0.135772," ","integrate((b*x+a)*(B*x+A)/x,x)","A a \log{\left(x \right)} + \frac{B b x^{2}}{2} + x \left(A b + B a\right)"," ",0,"A*a*log(x) + B*b*x**2/2 + x*(A*b + B*a)","A",0
86,1,19,0,0.237580," ","integrate((b*x+a)*(B*x+A)/x**2,x)","- \frac{A a}{x} + B b x + \left(A b + B a\right) \log{\left(x \right)}"," ",0,"-A*a/x + B*b*x + (A*b + B*a)*log(x)","A",0
87,1,27,0,0.301837," ","integrate((b*x+a)*(B*x+A)/x**3,x)","B b \log{\left(x \right)} + \frac{- A a + x \left(- 2 A b - 2 B a\right)}{2 x^{2}}"," ",0,"B*b*log(x) + (-A*a + x*(-2*A*b - 2*B*a))/(2*x**2)","A",0
88,1,31,0,0.315901," ","integrate((b*x+a)*(B*x+A)/x**4,x)","\frac{- 2 A a - 6 B b x^{2} + x \left(- 3 A b - 3 B a\right)}{6 x^{3}}"," ",0,"(-2*A*a - 6*B*b*x**2 + x*(-3*A*b - 3*B*a))/(6*x**3)","A",0
89,1,31,0,0.402806," ","integrate((b*x+a)*(B*x+A)/x**5,x)","\frac{- 3 A a - 6 B b x^{2} + x \left(- 4 A b - 4 B a\right)}{12 x^{4}}"," ",0,"(-3*A*a - 6*B*b*x**2 + x*(-4*A*b - 4*B*a))/(12*x**4)","A",0
90,1,31,0,0.481974," ","integrate((b*x+a)*(B*x+A)/x**6,x)","\frac{- 12 A a - 20 B b x^{2} + x \left(- 15 A b - 15 B a\right)}{60 x^{5}}"," ",0,"(-12*A*a - 20*B*b*x**2 + x*(-15*A*b - 15*B*a))/(60*x**5)","A",0
91,1,54,0,0.145766," ","integrate(x**4*(b*x+a)**2*(B*x+A),x)","\frac{A a^{2} x^{5}}{5} + \frac{B b^{2} x^{8}}{8} + x^{7} \left(\frac{A b^{2}}{7} + \frac{2 B a b}{7}\right) + x^{6} \left(\frac{A a b}{3} + \frac{B a^{2}}{6}\right)"," ",0,"A*a**2*x**5/5 + B*b**2*x**8/8 + x**7*(A*b**2/7 + 2*B*a*b/7) + x**6*(A*a*b/3 + B*a**2/6)","A",0
92,1,54,0,0.094190," ","integrate(x**3*(b*x+a)**2*(B*x+A),x)","\frac{A a^{2} x^{4}}{4} + \frac{B b^{2} x^{7}}{7} + x^{6} \left(\frac{A b^{2}}{6} + \frac{B a b}{3}\right) + x^{5} \left(\frac{2 A a b}{5} + \frac{B a^{2}}{5}\right)"," ",0,"A*a**2*x**4/4 + B*b**2*x**7/7 + x**6*(A*b**2/6 + B*a*b/3) + x**5*(2*A*a*b/5 + B*a**2/5)","A",0
93,1,54,0,0.088229," ","integrate(x**2*(b*x+a)**2*(B*x+A),x)","\frac{A a^{2} x^{3}}{3} + \frac{B b^{2} x^{6}}{6} + x^{5} \left(\frac{A b^{2}}{5} + \frac{2 B a b}{5}\right) + x^{4} \left(\frac{A a b}{2} + \frac{B a^{2}}{4}\right)"," ",0,"A*a**2*x**3/3 + B*b**2*x**6/6 + x**5*(A*b**2/5 + 2*B*a*b/5) + x**4*(A*a*b/2 + B*a**2/4)","A",0
94,1,54,0,0.084248," ","integrate(x*(b*x+a)**2*(B*x+A),x)","\frac{A a^{2} x^{2}}{2} + \frac{B b^{2} x^{5}}{5} + x^{4} \left(\frac{A b^{2}}{4} + \frac{B a b}{2}\right) + x^{3} \left(\frac{2 A a b}{3} + \frac{B a^{2}}{3}\right)"," ",0,"A*a**2*x**2/2 + B*b**2*x**5/5 + x**4*(A*b**2/4 + B*a*b/2) + x**3*(2*A*a*b/3 + B*a**2/3)","A",0
95,1,49,0,0.194815," ","integrate((b*x+a)**2*(B*x+A),x)","A a^{2} x + \frac{B b^{2} x^{4}}{4} + x^{3} \left(\frac{A b^{2}}{3} + \frac{2 B a b}{3}\right) + x^{2} \left(A a b + \frac{B a^{2}}{2}\right)"," ",0,"A*a**2*x + B*b**2*x**4/4 + x**3*(A*b**2/3 + 2*B*a*b/3) + x**2*(A*a*b + B*a**2/2)","A",0
96,1,46,0,0.159037," ","integrate((b*x+a)**2*(B*x+A)/x,x)","A a^{2} \log{\left(x \right)} + \frac{B b^{2} x^{3}}{3} + x^{2} \left(\frac{A b^{2}}{2} + B a b\right) + x \left(2 A a b + B a^{2}\right)"," ",0,"A*a**2*log(x) + B*b**2*x**3/3 + x**2*(A*b**2/2 + B*a*b) + x*(2*A*a*b + B*a**2)","A",0
97,1,42,0,0.281629," ","integrate((b*x+a)**2*(B*x+A)/x**2,x)","- \frac{A a^{2}}{x} + \frac{B b^{2} x^{2}}{2} + a \left(2 A b + B a\right) \log{\left(x \right)} + x \left(A b^{2} + 2 B a b\right)"," ",0,"-A*a**2/x + B*b**2*x**2/2 + a*(2*A*b + B*a)*log(x) + x*(A*b**2 + 2*B*a*b)","A",0
98,1,46,0,0.488879," ","integrate((b*x+a)**2*(B*x+A)/x**3,x)","B b^{2} x + b \left(A b + 2 B a\right) \log{\left(x \right)} + \frac{- A a^{2} + x \left(- 4 A a b - 2 B a^{2}\right)}{2 x^{2}}"," ",0,"B*b**2*x + b*(A*b + 2*B*a)*log(x) + (-A*a**2 + x*(-4*A*a*b - 2*B*a**2))/(2*x**2)","A",0
99,1,54,0,0.588334," ","integrate((b*x+a)**2*(B*x+A)/x**4,x)","B b^{2} \log{\left(x \right)} + \frac{- 2 A a^{2} + x^{2} \left(- 6 A b^{2} - 12 B a b\right) + x \left(- 6 A a b - 3 B a^{2}\right)}{6 x^{3}}"," ",0,"B*b**2*log(x) + (-2*A*a**2 + x**2*(-6*A*b**2 - 12*B*a*b) + x*(-6*A*a*b - 3*B*a**2))/(6*x**3)","A",0
100,1,56,0,0.979903," ","integrate((b*x+a)**2*(B*x+A)/x**5,x)","\frac{- 3 A a^{2} - 12 B b^{2} x^{3} + x^{2} \left(- 6 A b^{2} - 12 B a b\right) + x \left(- 8 A a b - 4 B a^{2}\right)}{12 x^{4}}"," ",0,"(-3*A*a**2 - 12*B*b**2*x**3 + x**2*(-6*A*b**2 - 12*B*a*b) + x*(-8*A*a*b - 4*B*a**2))/(12*x**4)","A",0
101,1,56,0,1.083985," ","integrate((b*x+a)**2*(B*x+A)/x**6,x)","\frac{- 12 A a^{2} - 30 B b^{2} x^{3} + x^{2} \left(- 20 A b^{2} - 40 B a b\right) + x \left(- 30 A a b - 15 B a^{2}\right)}{60 x^{5}}"," ",0,"(-12*A*a**2 - 30*B*b**2*x**3 + x**2*(-20*A*b**2 - 40*B*a*b) + x*(-30*A*a*b - 15*B*a**2))/(60*x**5)","A",0
102,1,56,0,1.580077," ","integrate((b*x+a)**2*(B*x+A)/x**7,x)","\frac{- 10 A a^{2} - 20 B b^{2} x^{3} + x^{2} \left(- 15 A b^{2} - 30 B a b\right) + x \left(- 24 A a b - 12 B a^{2}\right)}{60 x^{6}}"," ",0,"(-10*A*a**2 - 20*B*b**2*x**3 + x**2*(-15*A*b**2 - 30*B*a*b) + x*(-24*A*a*b - 12*B*a**2))/(60*x**6)","A",0
103,1,56,0,1.443558," ","integrate((b*x+a)**2*(B*x+A)/x**8,x)","\frac{- 60 A a^{2} - 105 B b^{2} x^{3} + x^{2} \left(- 84 A b^{2} - 168 B a b\right) + x \left(- 140 A a b - 70 B a^{2}\right)}{420 x^{7}}"," ",0,"(-60*A*a**2 - 105*B*b**2*x**3 + x**2*(-84*A*b**2 - 168*B*a*b) + x*(-140*A*a*b - 70*B*a**2))/(420*x**7)","A",0
104,1,82,0,0.082278," ","integrate(x**4*(b*x+a)**3*(B*x+A),x)","\frac{A a^{3} x^{5}}{5} + \frac{B b^{3} x^{9}}{9} + x^{8} \left(\frac{A b^{3}}{8} + \frac{3 B a b^{2}}{8}\right) + x^{7} \left(\frac{3 A a b^{2}}{7} + \frac{3 B a^{2} b}{7}\right) + x^{6} \left(\frac{A a^{2} b}{2} + \frac{B a^{3}}{6}\right)"," ",0,"A*a**3*x**5/5 + B*b**3*x**9/9 + x**8*(A*b**3/8 + 3*B*a*b**2/8) + x**7*(3*A*a*b**2/7 + 3*B*a**2*b/7) + x**6*(A*a**2*b/2 + B*a**3/6)","A",0
105,1,80,0,0.092932," ","integrate(x**3*(b*x+a)**3*(B*x+A),x)","\frac{A a^{3} x^{4}}{4} + \frac{B b^{3} x^{8}}{8} + x^{7} \left(\frac{A b^{3}}{7} + \frac{3 B a b^{2}}{7}\right) + x^{6} \left(\frac{A a b^{2}}{2} + \frac{B a^{2} b}{2}\right) + x^{5} \left(\frac{3 A a^{2} b}{5} + \frac{B a^{3}}{5}\right)"," ",0,"A*a**3*x**4/4 + B*b**3*x**8/8 + x**7*(A*b**3/7 + 3*B*a*b**2/7) + x**6*(A*a*b**2/2 + B*a**2*b/2) + x**5*(3*A*a**2*b/5 + B*a**3/5)","A",0
106,1,82,0,0.129114," ","integrate(x**2*(b*x+a)**3*(B*x+A),x)","\frac{A a^{3} x^{3}}{3} + \frac{B b^{3} x^{7}}{7} + x^{6} \left(\frac{A b^{3}}{6} + \frac{B a b^{2}}{2}\right) + x^{5} \left(\frac{3 A a b^{2}}{5} + \frac{3 B a^{2} b}{5}\right) + x^{4} \left(\frac{3 A a^{2} b}{4} + \frac{B a^{3}}{4}\right)"," ",0,"A*a**3*x**3/3 + B*b**3*x**7/7 + x**6*(A*b**3/6 + B*a*b**2/2) + x**5*(3*A*a*b**2/5 + 3*B*a**2*b/5) + x**4*(3*A*a**2*b/4 + B*a**3/4)","A",0
107,1,80,0,0.131007," ","integrate(x*(b*x+a)**3*(B*x+A),x)","\frac{A a^{3} x^{2}}{2} + \frac{B b^{3} x^{6}}{6} + x^{5} \left(\frac{A b^{3}}{5} + \frac{3 B a b^{2}}{5}\right) + x^{4} \left(\frac{3 A a b^{2}}{4} + \frac{3 B a^{2} b}{4}\right) + x^{3} \left(A a^{2} b + \frac{B a^{3}}{3}\right)"," ",0,"A*a**3*x**2/2 + B*b**3*x**6/6 + x**5*(A*b**3/5 + 3*B*a*b**2/5) + x**4*(3*A*a*b**2/4 + 3*B*a**2*b/4) + x**3*(A*a**2*b + B*a**3/3)","A",0
108,1,73,0,0.096256," ","integrate((b*x+a)**3*(B*x+A),x)","A a^{3} x + \frac{B b^{3} x^{5}}{5} + x^{4} \left(\frac{A b^{3}}{4} + \frac{3 B a b^{2}}{4}\right) + x^{3} \left(A a b^{2} + B a^{2} b\right) + x^{2} \left(\frac{3 A a^{2} b}{2} + \frac{B a^{3}}{2}\right)"," ",0,"A*a**3*x + B*b**3*x**5/5 + x**4*(A*b**3/4 + 3*B*a*b**2/4) + x**3*(A*a*b**2 + B*a**2*b) + x**2*(3*A*a**2*b/2 + B*a**3/2)","B",0
109,1,73,0,0.274930," ","integrate((b*x+a)**3*(B*x+A)/x,x)","A a^{3} \log{\left(x \right)} + \frac{B b^{3} x^{4}}{4} + x^{3} \left(\frac{A b^{3}}{3} + B a b^{2}\right) + x^{2} \left(\frac{3 A a b^{2}}{2} + \frac{3 B a^{2} b}{2}\right) + x \left(3 A a^{2} b + B a^{3}\right)"," ",0,"A*a**3*log(x) + B*b**3*x**4/4 + x**3*(A*b**3/3 + B*a*b**2) + x**2*(3*A*a*b**2/2 + 3*B*a**2*b/2) + x*(3*A*a**2*b + B*a**3)","A",0
110,1,70,0,0.298778," ","integrate((b*x+a)**3*(B*x+A)/x**2,x)","- \frac{A a^{3}}{x} + \frac{B b^{3} x^{3}}{3} + a^{2} \left(3 A b + B a\right) \log{\left(x \right)} + x^{2} \left(\frac{A b^{3}}{2} + \frac{3 B a b^{2}}{2}\right) + x \left(3 A a b^{2} + 3 B a^{2} b\right)"," ",0,"-A*a**3/x + B*b**3*x**3/3 + a**2*(3*A*b + B*a)*log(x) + x**2*(A*b**3/2 + 3*B*a*b**2/2) + x*(3*A*a*b**2 + 3*B*a**2*b)","A",0
111,1,68,0,0.645025," ","integrate((b*x+a)**3*(B*x+A)/x**3,x)","\frac{B b^{3} x^{2}}{2} + 3 a b \left(A b + B a\right) \log{\left(x \right)} + x \left(A b^{3} + 3 B a b^{2}\right) + \frac{- A a^{3} + x \left(- 6 A a^{2} b - 2 B a^{3}\right)}{2 x^{2}}"," ",0,"B*b**3*x**2/2 + 3*a*b*(A*b + B*a)*log(x) + x*(A*b**3 + 3*B*a*b**2) + (-A*a**3 + x*(-6*A*a**2*b - 2*B*a**3))/(2*x**2)","A",0
112,1,73,0,0.814811," ","integrate((b*x+a)**3*(B*x+A)/x**4,x)","B b^{3} x + b^{2} \left(A b + 3 B a\right) \log{\left(x \right)} + \frac{- 2 A a^{3} + x^{2} \left(- 18 A a b^{2} - 18 B a^{2} b\right) + x \left(- 9 A a^{2} b - 3 B a^{3}\right)}{6 x^{3}}"," ",0,"B*b**3*x + b**2*(A*b + 3*B*a)*log(x) + (-2*A*a**3 + x**2*(-18*A*a*b**2 - 18*B*a**2*b) + x*(-9*A*a**2*b - 3*B*a**3))/(6*x**3)","A",0
113,1,80,0,1.431361," ","integrate((b*x+a)**3*(B*x+A)/x**5,x)","B b^{3} \log{\left(x \right)} + \frac{- 3 A a^{3} + x^{3} \left(- 12 A b^{3} - 36 B a b^{2}\right) + x^{2} \left(- 18 A a b^{2} - 18 B a^{2} b\right) + x \left(- 12 A a^{2} b - 4 B a^{3}\right)}{12 x^{4}}"," ",0,"B*b**3*log(x) + (-3*A*a**3 + x**3*(-12*A*b**3 - 36*B*a*b**2) + x**2*(-18*A*a*b**2 - 18*B*a**2*b) + x*(-12*A*a**2*b - 4*B*a**3))/(12*x**4)","A",0
114,1,82,0,1.722307," ","integrate((b*x+a)**3*(B*x+A)/x**6,x)","\frac{- 4 A a^{3} - 20 B b^{3} x^{4} + x^{3} \left(- 10 A b^{3} - 30 B a b^{2}\right) + x^{2} \left(- 20 A a b^{2} - 20 B a^{2} b\right) + x \left(- 15 A a^{2} b - 5 B a^{3}\right)}{20 x^{5}}"," ",0,"(-4*A*a**3 - 20*B*b**3*x**4 + x**3*(-10*A*b**3 - 30*B*a*b**2) + x**2*(-20*A*a*b**2 - 20*B*a**2*b) + x*(-15*A*a**2*b - 5*B*a**3))/(20*x**5)","B",0
115,1,82,0,2.295472," ","integrate((b*x+a)**3*(B*x+A)/x**7,x)","\frac{- 10 A a^{3} - 30 B b^{3} x^{4} + x^{3} \left(- 20 A b^{3} - 60 B a b^{2}\right) + x^{2} \left(- 45 A a b^{2} - 45 B a^{2} b\right) + x \left(- 36 A a^{2} b - 12 B a^{3}\right)}{60 x^{6}}"," ",0,"(-10*A*a**3 - 30*B*b**3*x**4 + x**3*(-20*A*b**3 - 60*B*a*b**2) + x**2*(-45*A*a*b**2 - 45*B*a**2*b) + x*(-36*A*a**2*b - 12*B*a**3))/(60*x**6)","A",0
116,1,82,0,2.580146," ","integrate((b*x+a)**3*(B*x+A)/x**8,x)","\frac{- 60 A a^{3} - 140 B b^{3} x^{4} + x^{3} \left(- 105 A b^{3} - 315 B a b^{2}\right) + x^{2} \left(- 252 A a b^{2} - 252 B a^{2} b\right) + x \left(- 210 A a^{2} b - 70 B a^{3}\right)}{420 x^{7}}"," ",0,"(-60*A*a**3 - 140*B*b**3*x**4 + x**3*(-105*A*b**3 - 315*B*a*b**2) + x**2*(-252*A*a*b**2 - 252*B*a**2*b) + x*(-210*A*a**2*b - 70*B*a**3))/(420*x**7)","A",0
117,1,82,0,3.757223," ","integrate((b*x+a)**3*(B*x+A)/x**9,x)","\frac{- 35 A a^{3} - 70 B b^{3} x^{4} + x^{3} \left(- 56 A b^{3} - 168 B a b^{2}\right) + x^{2} \left(- 140 A a b^{2} - 140 B a^{2} b\right) + x \left(- 120 A a^{2} b - 40 B a^{3}\right)}{280 x^{8}}"," ",0,"(-35*A*a**3 - 70*B*b**3*x**4 + x**3*(-56*A*b**3 - 168*B*a*b**2) + x**2*(-140*A*a*b**2 - 140*B*a**2*b) + x*(-120*A*a**2*b - 40*B*a**3))/(280*x**8)","A",0
118,1,82,0,4.092725," ","integrate((b*x+a)**3*(B*x+A)/x**10,x)","\frac{- 280 A a^{3} - 504 B b^{3} x^{4} + x^{3} \left(- 420 A b^{3} - 1260 B a b^{2}\right) + x^{2} \left(- 1080 A a b^{2} - 1080 B a^{2} b\right) + x \left(- 945 A a^{2} b - 315 B a^{3}\right)}{2520 x^{9}}"," ",0,"(-280*A*a**3 - 504*B*b**3*x**4 + x**3*(-420*A*b**3 - 1260*B*a*b**2) + x**2*(-1080*A*a*b**2 - 1080*B*a**2*b) + x*(-945*A*a**2*b - 315*B*a**3))/(2520*x**9)","A",0
119,1,133,0,0.184789," ","integrate(x**5*(b*x+a)**5*(B*x+A),x)","\frac{A a^{5} x^{6}}{6} + \frac{B b^{5} x^{12}}{12} + x^{11} \left(\frac{A b^{5}}{11} + \frac{5 B a b^{4}}{11}\right) + x^{10} \left(\frac{A a b^{4}}{2} + B a^{2} b^{3}\right) + x^{9} \left(\frac{10 A a^{2} b^{3}}{9} + \frac{10 B a^{3} b^{2}}{9}\right) + x^{8} \left(\frac{5 A a^{3} b^{2}}{4} + \frac{5 B a^{4} b}{8}\right) + x^{7} \left(\frac{5 A a^{4} b}{7} + \frac{B a^{5}}{7}\right)"," ",0,"A*a**5*x**6/6 + B*b**5*x**12/12 + x**11*(A*b**5/11 + 5*B*a*b**4/11) + x**10*(A*a*b**4/2 + B*a**2*b**3) + x**9*(10*A*a**2*b**3/9 + 10*B*a**3*b**2/9) + x**8*(5*A*a**3*b**2/4 + 5*B*a**4*b/8) + x**7*(5*A*a**4*b/7 + B*a**5/7)","A",0
120,1,136,0,0.177544," ","integrate(x**4*(b*x+a)**5*(B*x+A),x)","\frac{A a^{5} x^{5}}{5} + \frac{B b^{5} x^{11}}{11} + x^{10} \left(\frac{A b^{5}}{10} + \frac{B a b^{4}}{2}\right) + x^{9} \left(\frac{5 A a b^{4}}{9} + \frac{10 B a^{2} b^{3}}{9}\right) + x^{8} \left(\frac{5 A a^{2} b^{3}}{4} + \frac{5 B a^{3} b^{2}}{4}\right) + x^{7} \left(\frac{10 A a^{3} b^{2}}{7} + \frac{5 B a^{4} b}{7}\right) + x^{6} \left(\frac{5 A a^{4} b}{6} + \frac{B a^{5}}{6}\right)"," ",0,"A*a**5*x**5/5 + B*b**5*x**11/11 + x**10*(A*b**5/10 + B*a*b**4/2) + x**9*(5*A*a*b**4/9 + 10*B*a**2*b**3/9) + x**8*(5*A*a**2*b**3/4 + 5*B*a**3*b**2/4) + x**7*(10*A*a**3*b**2/7 + 5*B*a**4*b/7) + x**6*(5*A*a**4*b/6 + B*a**5/6)","A",0
121,1,134,0,0.099256," ","integrate(x**3*(b*x+a)**5*(B*x+A),x)","\frac{A a^{5} x^{4}}{4} + \frac{B b^{5} x^{10}}{10} + x^{9} \left(\frac{A b^{5}}{9} + \frac{5 B a b^{4}}{9}\right) + x^{8} \left(\frac{5 A a b^{4}}{8} + \frac{5 B a^{2} b^{3}}{4}\right) + x^{7} \left(\frac{10 A a^{2} b^{3}}{7} + \frac{10 B a^{3} b^{2}}{7}\right) + x^{6} \left(\frac{5 A a^{3} b^{2}}{3} + \frac{5 B a^{4} b}{6}\right) + x^{5} \left(A a^{4} b + \frac{B a^{5}}{5}\right)"," ",0,"A*a**5*x**4/4 + B*b**5*x**10/10 + x**9*(A*b**5/9 + 5*B*a*b**4/9) + x**8*(5*A*a*b**4/8 + 5*B*a**2*b**3/4) + x**7*(10*A*a**2*b**3/7 + 10*B*a**3*b**2/7) + x**6*(5*A*a**3*b**2/3 + 5*B*a**4*b/6) + x**5*(A*a**4*b + B*a**5/5)","A",0
122,1,133,0,0.239277," ","integrate(x**2*(b*x+a)**5*(B*x+A),x)","\frac{A a^{5} x^{3}}{3} + \frac{B b^{5} x^{9}}{9} + x^{8} \left(\frac{A b^{5}}{8} + \frac{5 B a b^{4}}{8}\right) + x^{7} \left(\frac{5 A a b^{4}}{7} + \frac{10 B a^{2} b^{3}}{7}\right) + x^{6} \left(\frac{5 A a^{2} b^{3}}{3} + \frac{5 B a^{3} b^{2}}{3}\right) + x^{5} \left(2 A a^{3} b^{2} + B a^{4} b\right) + x^{4} \left(\frac{5 A a^{4} b}{4} + \frac{B a^{5}}{4}\right)"," ",0,"A*a**5*x**3/3 + B*b**5*x**9/9 + x**8*(A*b**5/8 + 5*B*a*b**4/8) + x**7*(5*A*a*b**4/7 + 10*B*a**2*b**3/7) + x**6*(5*A*a**2*b**3/3 + 5*B*a**3*b**2/3) + x**5*(2*A*a**3*b**2 + B*a**4*b) + x**4*(5*A*a**4*b/4 + B*a**5/4)","A",0
123,1,134,0,0.124720," ","integrate(x*(b*x+a)**5*(B*x+A),x)","\frac{A a^{5} x^{2}}{2} + \frac{B b^{5} x^{8}}{8} + x^{7} \left(\frac{A b^{5}}{7} + \frac{5 B a b^{4}}{7}\right) + x^{6} \left(\frac{5 A a b^{4}}{6} + \frac{5 B a^{2} b^{3}}{3}\right) + x^{5} \left(2 A a^{2} b^{3} + 2 B a^{3} b^{2}\right) + x^{4} \left(\frac{5 A a^{3} b^{2}}{2} + \frac{5 B a^{4} b}{4}\right) + x^{3} \left(\frac{5 A a^{4} b}{3} + \frac{B a^{5}}{3}\right)"," ",0,"A*a**5*x**2/2 + B*b**5*x**8/8 + x**7*(A*b**5/7 + 5*B*a*b**4/7) + x**6*(5*A*a*b**4/6 + 5*B*a**2*b**3/3) + x**5*(2*A*a**2*b**3 + 2*B*a**3*b**2) + x**4*(5*A*a**3*b**2/2 + 5*B*a**4*b/4) + x**3*(5*A*a**4*b/3 + B*a**5/3)","B",0
124,1,129,0,0.097355," ","integrate((b*x+a)**5*(B*x+A),x)","A a^{5} x + \frac{B b^{5} x^{7}}{7} + x^{6} \left(\frac{A b^{5}}{6} + \frac{5 B a b^{4}}{6}\right) + x^{5} \left(A a b^{4} + 2 B a^{2} b^{3}\right) + x^{4} \left(\frac{5 A a^{2} b^{3}}{2} + \frac{5 B a^{3} b^{2}}{2}\right) + x^{3} \left(\frac{10 A a^{3} b^{2}}{3} + \frac{5 B a^{4} b}{3}\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**7/7 + x**6*(A*b**5/6 + 5*B*a*b**4/6) + x**5*(A*a*b**4 + 2*B*a**2*b**3) + x**4*(5*A*a**2*b**3/2 + 5*B*a**3*b**2/2) + x**3*(10*A*a**3*b**2/3 + 5*B*a**4*b/3) + x**2*(5*A*a**4*b/2 + B*a**5/2)","B",0
125,1,126,0,0.338894," ","integrate((b*x+a)**5*(B*x+A)/x,x)","A a^{5} \log{\left(x \right)} + \frac{B b^{5} x^{6}}{6} + x^{5} \left(\frac{A b^{5}}{5} + B a b^{4}\right) + x^{4} \left(\frac{5 A a b^{4}}{4} + \frac{5 B a^{2} b^{3}}{2}\right) + x^{3} \left(\frac{10 A a^{2} b^{3}}{3} + \frac{10 B a^{3} b^{2}}{3}\right) + x^{2} \left(5 A a^{3} b^{2} + \frac{5 B a^{4} b}{2}\right) + x \left(5 A a^{4} b + B a^{5}\right)"," ",0,"A*a**5*log(x) + B*b**5*x**6/6 + x**5*(A*b**5/5 + B*a*b**4) + x**4*(5*A*a*b**4/4 + 5*B*a**2*b**3/2) + x**3*(10*A*a**2*b**3/3 + 10*B*a**3*b**2/3) + x**2*(5*A*a**3*b**2 + 5*B*a**4*b/2) + x*(5*A*a**4*b + B*a**5)","A",0
126,1,121,0,0.392903," ","integrate((b*x+a)**5*(B*x+A)/x**2,x)","- \frac{A a^{5}}{x} + \frac{B b^{5} x^{5}}{5} + a^{4} \left(5 A b + B a\right) \log{\left(x \right)} + x^{4} \left(\frac{A b^{5}}{4} + \frac{5 B a b^{4}}{4}\right) + x^{3} \left(\frac{5 A a b^{4}}{3} + \frac{10 B a^{2} b^{3}}{3}\right) + x^{2} \left(5 A a^{2} b^{3} + 5 B a^{3} b^{2}\right) + x \left(10 A a^{3} b^{2} + 5 B a^{4} b\right)"," ",0,"-A*a**5/x + B*b**5*x**5/5 + a**4*(5*A*b + B*a)*log(x) + x**4*(A*b**5/4 + 5*B*a*b**4/4) + x**3*(5*A*a*b**4/3 + 10*B*a**2*b**3/3) + x**2*(5*A*a**2*b**3 + 5*B*a**3*b**2) + x*(10*A*a**3*b**2 + 5*B*a**4*b)","A",0
127,1,122,0,0.646120," ","integrate((b*x+a)**5*(B*x+A)/x**3,x)","\frac{B b^{5} x^{4}}{4} + 5 a^{3} b \left(2 A b + B a\right) \log{\left(x \right)} + x^{3} \left(\frac{A b^{5}}{3} + \frac{5 B a b^{4}}{3}\right) + x^{2} \left(\frac{5 A a b^{4}}{2} + 5 B a^{2} b^{3}\right) + x \left(10 A a^{2} b^{3} + 10 B a^{3} b^{2}\right) + \frac{- A a^{5} + x \left(- 10 A a^{4} b - 2 B a^{5}\right)}{2 x^{2}}"," ",0,"B*b**5*x**4/4 + 5*a**3*b*(2*A*b + B*a)*log(x) + x**3*(A*b**5/3 + 5*B*a*b**4/3) + x**2*(5*A*a*b**4/2 + 5*B*a**2*b**3) + x*(10*A*a**2*b**3 + 10*B*a**3*b**2) + (-A*a**5 + x*(-10*A*a**4*b - 2*B*a**5))/(2*x**2)","A",0
128,1,122,0,1.162513," ","integrate((b*x+a)**5*(B*x+A)/x**4,x)","\frac{B b^{5} x^{3}}{3} + 10 a^{2} b^{2} \left(A b + B a\right) \log{\left(x \right)} + x^{2} \left(\frac{A b^{5}}{2} + \frac{5 B a b^{4}}{2}\right) + x \left(5 A a b^{4} + 10 B a^{2} b^{3}\right) + \frac{- 2 A a^{5} + x^{2} \left(- 60 A a^{3} b^{2} - 30 B a^{4} b\right) + x \left(- 15 A a^{4} b - 3 B a^{5}\right)}{6 x^{3}}"," ",0,"B*b**5*x**3/3 + 10*a**2*b**2*(A*b + B*a)*log(x) + x**2*(A*b**5/2 + 5*B*a*b**4/2) + x*(5*A*a*b**4 + 10*B*a**2*b**3) + (-2*A*a**5 + x**2*(-60*A*a**3*b**2 - 30*B*a**4*b) + x*(-15*A*a**4*b - 3*B*a**5))/(6*x**3)","A",0
129,1,122,0,1.491819," ","integrate((b*x+a)**5*(B*x+A)/x**5,x)","\frac{B b^{5} x^{2}}{2} + 5 a b^{3} \left(A b + 2 B a\right) \log{\left(x \right)} + x \left(A b^{5} + 5 B a b^{4}\right) + \frac{- 3 A a^{5} + x^{3} \left(- 120 A a^{2} b^{3} - 120 B a^{3} b^{2}\right) + x^{2} \left(- 60 A a^{3} b^{2} - 30 B a^{4} b\right) + x \left(- 20 A a^{4} b - 4 B a^{5}\right)}{12 x^{4}}"," ",0,"B*b**5*x**2/2 + 5*a*b**3*(A*b + 2*B*a)*log(x) + x*(A*b**5 + 5*B*a*b**4) + (-3*A*a**5 + x**3*(-120*A*a**2*b**3 - 120*B*a**3*b**2) + x**2*(-60*A*a**3*b**2 - 30*B*a**4*b) + x*(-20*A*a**4*b - 4*B*a**5))/(12*x**4)","A",0
130,1,124,0,2.464352," ","integrate((b*x+a)**5*(B*x+A)/x**6,x)","B b^{5} x + b^{4} \left(A b + 5 B a\right) \log{\left(x \right)} + \frac{- 12 A a^{5} + x^{4} \left(- 300 A a b^{4} - 600 B a^{2} b^{3}\right) + x^{3} \left(- 300 A a^{2} b^{3} - 300 B a^{3} b^{2}\right) + x^{2} \left(- 200 A a^{3} b^{2} - 100 B a^{4} b\right) + x \left(- 75 A a^{4} b - 15 B a^{5}\right)}{60 x^{5}}"," ",0,"B*b**5*x + b**4*(A*b + 5*B*a)*log(x) + (-12*A*a**5 + x**4*(-300*A*a*b**4 - 600*B*a**2*b**3) + x**3*(-300*A*a**2*b**3 - 300*B*a**3*b**2) + x**2*(-200*A*a**3*b**2 - 100*B*a**4*b) + x*(-75*A*a**4*b - 15*B*a**5))/(60*x**5)","A",0
131,1,131,0,3.560360," ","integrate((b*x+a)**5*(B*x+A)/x**7,x)","B b^{5} \log{\left(x \right)} + \frac{- 10 A a^{5} + x^{5} \left(- 60 A b^{5} - 300 B a b^{4}\right) + x^{4} \left(- 150 A a b^{4} - 300 B a^{2} b^{3}\right) + x^{3} \left(- 200 A a^{2} b^{3} - 200 B a^{3} b^{2}\right) + x^{2} \left(- 150 A a^{3} b^{2} - 75 B a^{4} b\right) + x \left(- 60 A a^{4} b - 12 B a^{5}\right)}{60 x^{6}}"," ",0,"B*b**5*log(x) + (-10*A*a**5 + x**5*(-60*A*b**5 - 300*B*a*b**4) + x**4*(-150*A*a*b**4 - 300*B*a**2*b**3) + x**3*(-200*A*a**2*b**3 - 200*B*a**3*b**2) + x**2*(-150*A*a**3*b**2 - 75*B*a**4*b) + x*(-60*A*a**4*b - 12*B*a**5))/(60*x**6)","A",0
132,1,133,0,4.418709," ","integrate((b*x+a)**5*(B*x+A)/x**8,x)","\frac{- 6 A a^{5} - 42 B b^{5} x^{6} + x^{5} \left(- 21 A b^{5} - 105 B a b^{4}\right) + x^{4} \left(- 70 A a b^{4} - 140 B a^{2} b^{3}\right) + x^{3} \left(- 105 A a^{2} b^{3} - 105 B a^{3} b^{2}\right) + x^{2} \left(- 84 A a^{3} b^{2} - 42 B a^{4} b\right) + x \left(- 35 A a^{4} b - 7 B a^{5}\right)}{42 x^{7}}"," ",0,"(-6*A*a**5 - 42*B*b**5*x**6 + x**5*(-21*A*b**5 - 105*B*a*b**4) + x**4*(-70*A*a*b**4 - 140*B*a**2*b**3) + x**3*(-105*A*a**2*b**3 - 105*B*a**3*b**2) + x**2*(-84*A*a**3*b**2 - 42*B*a**4*b) + x*(-35*A*a**4*b - 7*B*a**5))/(42*x**7)","B",0
133,1,133,0,5.569008," ","integrate((b*x+a)**5*(B*x+A)/x**9,x)","\frac{- 21 A a^{5} - 84 B b^{5} x^{6} + x^{5} \left(- 56 A b^{5} - 280 B a b^{4}\right) + x^{4} \left(- 210 A a b^{4} - 420 B a^{2} b^{3}\right) + x^{3} \left(- 336 A a^{2} b^{3} - 336 B a^{3} b^{2}\right) + x^{2} \left(- 280 A a^{3} b^{2} - 140 B a^{4} b\right) + x \left(- 120 A a^{4} b - 24 B a^{5}\right)}{168 x^{8}}"," ",0,"(-21*A*a**5 - 84*B*b**5*x**6 + x**5*(-56*A*b**5 - 280*B*a*b**4) + x**4*(-210*A*a*b**4 - 420*B*a**2*b**3) + x**3*(-336*A*a**2*b**3 - 336*B*a**3*b**2) + x**2*(-280*A*a**3*b**2 - 140*B*a**4*b) + x*(-120*A*a**4*b - 24*B*a**5))/(168*x**8)","B",0
134,1,133,0,7.134604," ","integrate((b*x+a)**5*(B*x+A)/x**10,x)","\frac{- 56 A a^{5} - 168 B b^{5} x^{6} + x^{5} \left(- 126 A b^{5} - 630 B a b^{4}\right) + x^{4} \left(- 504 A a b^{4} - 1008 B a^{2} b^{3}\right) + x^{3} \left(- 840 A a^{2} b^{3} - 840 B a^{3} b^{2}\right) + x^{2} \left(- 720 A a^{3} b^{2} - 360 B a^{4} b\right) + x \left(- 315 A a^{4} b - 63 B a^{5}\right)}{504 x^{9}}"," ",0,"(-56*A*a**5 - 168*B*b**5*x**6 + x**5*(-126*A*b**5 - 630*B*a*b**4) + x**4*(-504*A*a*b**4 - 1008*B*a**2*b**3) + x**3*(-840*A*a**2*b**3 - 840*B*a**3*b**2) + x**2*(-720*A*a**3*b**2 - 360*B*a**4*b) + x*(-315*A*a**4*b - 63*B*a**5))/(504*x**9)","A",0
135,1,133,0,8.523522," ","integrate((b*x+a)**5*(B*x+A)/x**11,x)","\frac{- 252 A a^{5} - 630 B b^{5} x^{6} + x^{5} \left(- 504 A b^{5} - 2520 B a b^{4}\right) + x^{4} \left(- 2100 A a b^{4} - 4200 B a^{2} b^{3}\right) + x^{3} \left(- 3600 A a^{2} b^{3} - 3600 B a^{3} b^{2}\right) + x^{2} \left(- 3150 A a^{3} b^{2} - 1575 B a^{4} b\right) + x \left(- 1400 A a^{4} b - 280 B a^{5}\right)}{2520 x^{10}}"," ",0,"(-252*A*a**5 - 630*B*b**5*x**6 + x**5*(-504*A*b**5 - 2520*B*a*b**4) + x**4*(-2100*A*a*b**4 - 4200*B*a**2*b**3) + x**3*(-3600*A*a**2*b**3 - 3600*B*a**3*b**2) + x**2*(-3150*A*a**3*b**2 - 1575*B*a**4*b) + x*(-1400*A*a**4*b - 280*B*a**5))/(2520*x**10)","A",0
136,1,133,0,11.275828," ","integrate((b*x+a)**5*(B*x+A)/x**12,x)","\frac{- 1260 A a^{5} - 2772 B b^{5} x^{6} + x^{5} \left(- 2310 A b^{5} - 11550 B a b^{4}\right) + x^{4} \left(- 9900 A a b^{4} - 19800 B a^{2} b^{3}\right) + x^{3} \left(- 17325 A a^{2} b^{3} - 17325 B a^{3} b^{2}\right) + x^{2} \left(- 15400 A a^{3} b^{2} - 7700 B a^{4} b\right) + x \left(- 6930 A a^{4} b - 1386 B a^{5}\right)}{13860 x^{11}}"," ",0,"(-1260*A*a**5 - 2772*B*b**5*x**6 + x**5*(-2310*A*b**5 - 11550*B*a*b**4) + x**4*(-9900*A*a*b**4 - 19800*B*a**2*b**3) + x**3*(-17325*A*a**2*b**3 - 17325*B*a**3*b**2) + x**2*(-15400*A*a**3*b**2 - 7700*B*a**4*b) + x*(-6930*A*a**4*b - 1386*B*a**5))/(13860*x**11)","A",0
137,1,269,0,0.154462," ","integrate(x**10*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{11}}{11} + \frac{B b^{10} x^{22}}{22} + x^{21} \left(\frac{A b^{10}}{21} + \frac{10 B a b^{9}}{21}\right) + x^{20} \left(\frac{A a b^{9}}{2} + \frac{9 B a^{2} b^{8}}{4}\right) + x^{19} \left(\frac{45 A a^{2} b^{8}}{19} + \frac{120 B a^{3} b^{7}}{19}\right) + x^{18} \left(\frac{20 A a^{3} b^{7}}{3} + \frac{35 B a^{4} b^{6}}{3}\right) + x^{17} \left(\frac{210 A a^{4} b^{6}}{17} + \frac{252 B a^{5} b^{5}}{17}\right) + x^{16} \left(\frac{63 A a^{5} b^{5}}{4} + \frac{105 B a^{6} b^{4}}{8}\right) + x^{15} \left(14 A a^{6} b^{4} + 8 B a^{7} b^{3}\right) + x^{14} \left(\frac{60 A a^{7} b^{3}}{7} + \frac{45 B a^{8} b^{2}}{14}\right) + x^{13} \left(\frac{45 A a^{8} b^{2}}{13} + \frac{10 B a^{9} b}{13}\right) + x^{12} \left(\frac{5 A a^{9} b}{6} + \frac{B a^{10}}{12}\right)"," ",0,"A*a**10*x**11/11 + B*b**10*x**22/22 + x**21*(A*b**10/21 + 10*B*a*b**9/21) + x**20*(A*a*b**9/2 + 9*B*a**2*b**8/4) + x**19*(45*A*a**2*b**8/19 + 120*B*a**3*b**7/19) + x**18*(20*A*a**3*b**7/3 + 35*B*a**4*b**6/3) + x**17*(210*A*a**4*b**6/17 + 252*B*a**5*b**5/17) + x**16*(63*A*a**5*b**5/4 + 105*B*a**6*b**4/8) + x**15*(14*A*a**6*b**4 + 8*B*a**7*b**3) + x**14*(60*A*a**7*b**3/7 + 45*B*a**8*b**2/14) + x**13*(45*A*a**8*b**2/13 + 10*B*a**9*b/13) + x**12*(5*A*a**9*b/6 + B*a**10/12)","A",0
138,1,269,0,0.231465," ","integrate(x**9*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{10}}{10} + \frac{B b^{10} x^{21}}{21} + x^{20} \left(\frac{A b^{10}}{20} + \frac{B a b^{9}}{2}\right) + x^{19} \left(\frac{10 A a b^{9}}{19} + \frac{45 B a^{2} b^{8}}{19}\right) + x^{18} \left(\frac{5 A a^{2} b^{8}}{2} + \frac{20 B a^{3} b^{7}}{3}\right) + x^{17} \left(\frac{120 A a^{3} b^{7}}{17} + \frac{210 B a^{4} b^{6}}{17}\right) + x^{16} \left(\frac{105 A a^{4} b^{6}}{8} + \frac{63 B a^{5} b^{5}}{4}\right) + x^{15} \left(\frac{84 A a^{5} b^{5}}{5} + 14 B a^{6} b^{4}\right) + x^{14} \left(15 A a^{6} b^{4} + \frac{60 B a^{7} b^{3}}{7}\right) + x^{13} \left(\frac{120 A a^{7} b^{3}}{13} + \frac{45 B a^{8} b^{2}}{13}\right) + x^{12} \left(\frac{15 A a^{8} b^{2}}{4} + \frac{5 B a^{9} b}{6}\right) + x^{11} \left(\frac{10 A a^{9} b}{11} + \frac{B a^{10}}{11}\right)"," ",0,"A*a**10*x**10/10 + B*b**10*x**21/21 + x**20*(A*b**10/20 + B*a*b**9/2) + x**19*(10*A*a*b**9/19 + 45*B*a**2*b**8/19) + x**18*(5*A*a**2*b**8/2 + 20*B*a**3*b**7/3) + x**17*(120*A*a**3*b**7/17 + 210*B*a**4*b**6/17) + x**16*(105*A*a**4*b**6/8 + 63*B*a**5*b**5/4) + x**15*(84*A*a**5*b**5/5 + 14*B*a**6*b**4) + x**14*(15*A*a**6*b**4 + 60*B*a**7*b**3/7) + x**13*(120*A*a**7*b**3/13 + 45*B*a**8*b**2/13) + x**12*(15*A*a**8*b**2/4 + 5*B*a**9*b/6) + x**11*(10*A*a**9*b/11 + B*a**10/11)","A",0
139,1,264,0,0.283826," ","integrate(x**8*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{9}}{9} + \frac{B b^{10} x^{20}}{20} + x^{19} \left(\frac{A b^{10}}{19} + \frac{10 B a b^{9}}{19}\right) + x^{18} \left(\frac{5 A a b^{9}}{9} + \frac{5 B a^{2} b^{8}}{2}\right) + x^{17} \left(\frac{45 A a^{2} b^{8}}{17} + \frac{120 B a^{3} b^{7}}{17}\right) + x^{16} \left(\frac{15 A a^{3} b^{7}}{2} + \frac{105 B a^{4} b^{6}}{8}\right) + x^{15} \left(14 A a^{4} b^{6} + \frac{84 B a^{5} b^{5}}{5}\right) + x^{14} \left(18 A a^{5} b^{5} + 15 B a^{6} b^{4}\right) + x^{13} \left(\frac{210 A a^{6} b^{4}}{13} + \frac{120 B a^{7} b^{3}}{13}\right) + x^{12} \left(10 A a^{7} b^{3} + \frac{15 B a^{8} b^{2}}{4}\right) + x^{11} \left(\frac{45 A a^{8} b^{2}}{11} + \frac{10 B a^{9} b}{11}\right) + x^{10} \left(A a^{9} b + \frac{B a^{10}}{10}\right)"," ",0,"A*a**10*x**9/9 + B*b**10*x**20/20 + x**19*(A*b**10/19 + 10*B*a*b**9/19) + x**18*(5*A*a*b**9/9 + 5*B*a**2*b**8/2) + x**17*(45*A*a**2*b**8/17 + 120*B*a**3*b**7/17) + x**16*(15*A*a**3*b**7/2 + 105*B*a**4*b**6/8) + x**15*(14*A*a**4*b**6 + 84*B*a**5*b**5/5) + x**14*(18*A*a**5*b**5 + 15*B*a**6*b**4) + x**13*(210*A*a**6*b**4/13 + 120*B*a**7*b**3/13) + x**12*(10*A*a**7*b**3 + 15*B*a**8*b**2/4) + x**11*(45*A*a**8*b**2/11 + 10*B*a**9*b/11) + x**10*(A*a**9*b + B*a**10/10)","A",0
140,1,262,0,0.198978," ","integrate(x**7*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{8}}{8} + \frac{B b^{10} x^{19}}{19} + x^{18} \left(\frac{A b^{10}}{18} + \frac{5 B a b^{9}}{9}\right) + x^{17} \left(\frac{10 A a b^{9}}{17} + \frac{45 B a^{2} b^{8}}{17}\right) + x^{16} \left(\frac{45 A a^{2} b^{8}}{16} + \frac{15 B a^{3} b^{7}}{2}\right) + x^{15} \left(8 A a^{3} b^{7} + 14 B a^{4} b^{6}\right) + x^{14} \left(15 A a^{4} b^{6} + 18 B a^{5} b^{5}\right) + x^{13} \left(\frac{252 A a^{5} b^{5}}{13} + \frac{210 B a^{6} b^{4}}{13}\right) + x^{12} \left(\frac{35 A a^{6} b^{4}}{2} + 10 B a^{7} b^{3}\right) + x^{11} \left(\frac{120 A a^{7} b^{3}}{11} + \frac{45 B a^{8} b^{2}}{11}\right) + x^{10} \left(\frac{9 A a^{8} b^{2}}{2} + B a^{9} b\right) + x^{9} \left(\frac{10 A a^{9} b}{9} + \frac{B a^{10}}{9}\right)"," ",0,"A*a**10*x**8/8 + B*b**10*x**19/19 + x**18*(A*b**10/18 + 5*B*a*b**9/9) + x**17*(10*A*a*b**9/17 + 45*B*a**2*b**8/17) + x**16*(45*A*a**2*b**8/16 + 15*B*a**3*b**7/2) + x**15*(8*A*a**3*b**7 + 14*B*a**4*b**6) + x**14*(15*A*a**4*b**6 + 18*B*a**5*b**5) + x**13*(252*A*a**5*b**5/13 + 210*B*a**6*b**4/13) + x**12*(35*A*a**6*b**4/2 + 10*B*a**7*b**3) + x**11*(120*A*a**7*b**3/11 + 45*B*a**8*b**2/11) + x**10*(9*A*a**8*b**2/2 + B*a**9*b) + x**9*(10*A*a**9*b/9 + B*a**10/9)","A",0
141,1,264,0,0.199184," ","integrate(x**6*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{7}}{7} + \frac{B b^{10} x^{18}}{18} + x^{17} \left(\frac{A b^{10}}{17} + \frac{10 B a b^{9}}{17}\right) + x^{16} \left(\frac{5 A a b^{9}}{8} + \frac{45 B a^{2} b^{8}}{16}\right) + x^{15} \left(3 A a^{2} b^{8} + 8 B a^{3} b^{7}\right) + x^{14} \left(\frac{60 A a^{3} b^{7}}{7} + 15 B a^{4} b^{6}\right) + x^{13} \left(\frac{210 A a^{4} b^{6}}{13} + \frac{252 B a^{5} b^{5}}{13}\right) + x^{12} \left(21 A a^{5} b^{5} + \frac{35 B a^{6} b^{4}}{2}\right) + x^{11} \left(\frac{210 A a^{6} b^{4}}{11} + \frac{120 B a^{7} b^{3}}{11}\right) + x^{10} \left(12 A a^{7} b^{3} + \frac{9 B a^{8} b^{2}}{2}\right) + x^{9} \left(5 A a^{8} b^{2} + \frac{10 B a^{9} b}{9}\right) + x^{8} \left(\frac{5 A a^{9} b}{4} + \frac{B a^{10}}{8}\right)"," ",0,"A*a**10*x**7/7 + B*b**10*x**18/18 + x**17*(A*b**10/17 + 10*B*a*b**9/17) + x**16*(5*A*a*b**9/8 + 45*B*a**2*b**8/16) + x**15*(3*A*a**2*b**8 + 8*B*a**3*b**7) + x**14*(60*A*a**3*b**7/7 + 15*B*a**4*b**6) + x**13*(210*A*a**4*b**6/13 + 252*B*a**5*b**5/13) + x**12*(21*A*a**5*b**5 + 35*B*a**6*b**4/2) + x**11*(210*A*a**6*b**4/11 + 120*B*a**7*b**3/11) + x**10*(12*A*a**7*b**3 + 9*B*a**8*b**2/2) + x**9*(5*A*a**8*b**2 + 10*B*a**9*b/9) + x**8*(5*A*a**9*b/4 + B*a**10/8)","A",0
142,1,265,0,0.145150," ","integrate(x**5*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{6}}{6} + \frac{B b^{10} x^{17}}{17} + x^{16} \left(\frac{A b^{10}}{16} + \frac{5 B a b^{9}}{8}\right) + x^{15} \left(\frac{2 A a b^{9}}{3} + 3 B a^{2} b^{8}\right) + x^{14} \left(\frac{45 A a^{2} b^{8}}{14} + \frac{60 B a^{3} b^{7}}{7}\right) + x^{13} \left(\frac{120 A a^{3} b^{7}}{13} + \frac{210 B a^{4} b^{6}}{13}\right) + x^{12} \left(\frac{35 A a^{4} b^{6}}{2} + 21 B a^{5} b^{5}\right) + x^{11} \left(\frac{252 A a^{5} b^{5}}{11} + \frac{210 B a^{6} b^{4}}{11}\right) + x^{10} \left(21 A a^{6} b^{4} + 12 B a^{7} b^{3}\right) + x^{9} \left(\frac{40 A a^{7} b^{3}}{3} + 5 B a^{8} b^{2}\right) + x^{8} \left(\frac{45 A a^{8} b^{2}}{8} + \frac{5 B a^{9} b}{4}\right) + x^{7} \left(\frac{10 A a^{9} b}{7} + \frac{B a^{10}}{7}\right)"," ",0,"A*a**10*x**6/6 + B*b**10*x**17/17 + x**16*(A*b**10/16 + 5*B*a*b**9/8) + x**15*(2*A*a*b**9/3 + 3*B*a**2*b**8) + x**14*(45*A*a**2*b**8/14 + 60*B*a**3*b**7/7) + x**13*(120*A*a**3*b**7/13 + 210*B*a**4*b**6/13) + x**12*(35*A*a**4*b**6/2 + 21*B*a**5*b**5) + x**11*(252*A*a**5*b**5/11 + 210*B*a**6*b**4/11) + x**10*(21*A*a**6*b**4 + 12*B*a**7*b**3) + x**9*(40*A*a**7*b**3/3 + 5*B*a**8*b**2) + x**8*(45*A*a**8*b**2/8 + 5*B*a**9*b/4) + x**7*(10*A*a**9*b/7 + B*a**10/7)","A",0
143,1,269,0,0.173993," ","integrate(x**4*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{5}}{5} + \frac{B b^{10} x^{16}}{16} + x^{15} \left(\frac{A b^{10}}{15} + \frac{2 B a b^{9}}{3}\right) + x^{14} \left(\frac{5 A a b^{9}}{7} + \frac{45 B a^{2} b^{8}}{14}\right) + x^{13} \left(\frac{45 A a^{2} b^{8}}{13} + \frac{120 B a^{3} b^{7}}{13}\right) + x^{12} \left(10 A a^{3} b^{7} + \frac{35 B a^{4} b^{6}}{2}\right) + x^{11} \left(\frac{210 A a^{4} b^{6}}{11} + \frac{252 B a^{5} b^{5}}{11}\right) + x^{10} \left(\frac{126 A a^{5} b^{5}}{5} + 21 B a^{6} b^{4}\right) + x^{9} \left(\frac{70 A a^{6} b^{4}}{3} + \frac{40 B a^{7} b^{3}}{3}\right) + x^{8} \left(15 A a^{7} b^{3} + \frac{45 B a^{8} b^{2}}{8}\right) + x^{7} \left(\frac{45 A a^{8} b^{2}}{7} + \frac{10 B a^{9} b}{7}\right) + x^{6} \left(\frac{5 A a^{9} b}{3} + \frac{B a^{10}}{6}\right)"," ",0,"A*a**10*x**5/5 + B*b**10*x**16/16 + x**15*(A*b**10/15 + 2*B*a*b**9/3) + x**14*(5*A*a*b**9/7 + 45*B*a**2*b**8/14) + x**13*(45*A*a**2*b**8/13 + 120*B*a**3*b**7/13) + x**12*(10*A*a**3*b**7 + 35*B*a**4*b**6/2) + x**11*(210*A*a**4*b**6/11 + 252*B*a**5*b**5/11) + x**10*(126*A*a**5*b**5/5 + 21*B*a**6*b**4) + x**9*(70*A*a**6*b**4/3 + 40*B*a**7*b**3/3) + x**8*(15*A*a**7*b**3 + 45*B*a**8*b**2/8) + x**7*(45*A*a**8*b**2/7 + 10*B*a**9*b/7) + x**6*(5*A*a**9*b/3 + B*a**10/6)","B",0
144,1,265,0,0.215901," ","integrate(x**3*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{4}}{4} + \frac{B b^{10} x^{15}}{15} + x^{14} \left(\frac{A b^{10}}{14} + \frac{5 B a b^{9}}{7}\right) + x^{13} \left(\frac{10 A a b^{9}}{13} + \frac{45 B a^{2} b^{8}}{13}\right) + x^{12} \left(\frac{15 A a^{2} b^{8}}{4} + 10 B a^{3} b^{7}\right) + x^{11} \left(\frac{120 A a^{3} b^{7}}{11} + \frac{210 B a^{4} b^{6}}{11}\right) + x^{10} \left(21 A a^{4} b^{6} + \frac{126 B a^{5} b^{5}}{5}\right) + x^{9} \left(28 A a^{5} b^{5} + \frac{70 B a^{6} b^{4}}{3}\right) + x^{8} \left(\frac{105 A a^{6} b^{4}}{4} + 15 B a^{7} b^{3}\right) + x^{7} \left(\frac{120 A a^{7} b^{3}}{7} + \frac{45 B a^{8} b^{2}}{7}\right) + x^{6} \left(\frac{15 A a^{8} b^{2}}{2} + \frac{5 B a^{9} b}{3}\right) + x^{5} \left(2 A a^{9} b + \frac{B a^{10}}{5}\right)"," ",0,"A*a**10*x**4/4 + B*b**10*x**15/15 + x**14*(A*b**10/14 + 5*B*a*b**9/7) + x**13*(10*A*a*b**9/13 + 45*B*a**2*b**8/13) + x**12*(15*A*a**2*b**8/4 + 10*B*a**3*b**7) + x**11*(120*A*a**3*b**7/11 + 210*B*a**4*b**6/11) + x**10*(21*A*a**4*b**6 + 126*B*a**5*b**5/5) + x**9*(28*A*a**5*b**5 + 70*B*a**6*b**4/3) + x**8*(105*A*a**6*b**4/4 + 15*B*a**7*b**3) + x**7*(120*A*a**7*b**3/7 + 45*B*a**8*b**2/7) + x**6*(15*A*a**8*b**2/2 + 5*B*a**9*b/3) + x**5*(2*A*a**9*b + B*a**10/5)","B",0
145,1,262,0,0.144576," ","integrate(x**2*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{3}}{3} + \frac{B b^{10} x^{14}}{14} + x^{13} \left(\frac{A b^{10}}{13} + \frac{10 B a b^{9}}{13}\right) + x^{12} \left(\frac{5 A a b^{9}}{6} + \frac{15 B a^{2} b^{8}}{4}\right) + x^{11} \left(\frac{45 A a^{2} b^{8}}{11} + \frac{120 B a^{3} b^{7}}{11}\right) + x^{10} \left(12 A a^{3} b^{7} + 21 B a^{4} b^{6}\right) + x^{9} \left(\frac{70 A a^{4} b^{6}}{3} + 28 B a^{5} b^{5}\right) + x^{8} \left(\frac{63 A a^{5} b^{5}}{2} + \frac{105 B a^{6} b^{4}}{4}\right) + x^{7} \left(30 A a^{6} b^{4} + \frac{120 B a^{7} b^{3}}{7}\right) + x^{6} \left(20 A a^{7} b^{3} + \frac{15 B a^{8} b^{2}}{2}\right) + x^{5} \left(9 A a^{8} b^{2} + 2 B a^{9} b\right) + x^{4} \left(\frac{5 A a^{9} b}{2} + \frac{B a^{10}}{4}\right)"," ",0,"A*a**10*x**3/3 + B*b**10*x**14/14 + x**13*(A*b**10/13 + 10*B*a*b**9/13) + x**12*(5*A*a*b**9/6 + 15*B*a**2*b**8/4) + x**11*(45*A*a**2*b**8/11 + 120*B*a**3*b**7/11) + x**10*(12*A*a**3*b**7 + 21*B*a**4*b**6) + x**9*(70*A*a**4*b**6/3 + 28*B*a**5*b**5) + x**8*(63*A*a**5*b**5/2 + 105*B*a**6*b**4/4) + x**7*(30*A*a**6*b**4 + 120*B*a**7*b**3/7) + x**6*(20*A*a**7*b**3 + 15*B*a**8*b**2/2) + x**5*(9*A*a**8*b**2 + 2*B*a**9*b) + x**4*(5*A*a**9*b/2 + B*a**10/4)","B",0
146,1,262,0,0.250660," ","integrate(x*(b*x+a)**10*(B*x+A),x)","\frac{A a^{10} x^{2}}{2} + \frac{B b^{10} x^{13}}{13} + x^{12} \left(\frac{A b^{10}}{12} + \frac{5 B a b^{9}}{6}\right) + x^{11} \left(\frac{10 A a b^{9}}{11} + \frac{45 B a^{2} b^{8}}{11}\right) + x^{10} \left(\frac{9 A a^{2} b^{8}}{2} + 12 B a^{3} b^{7}\right) + x^{9} \left(\frac{40 A a^{3} b^{7}}{3} + \frac{70 B a^{4} b^{6}}{3}\right) + x^{8} \left(\frac{105 A a^{4} b^{6}}{4} + \frac{63 B a^{5} b^{5}}{2}\right) + x^{7} \left(36 A a^{5} b^{5} + 30 B a^{6} b^{4}\right) + x^{6} \left(35 A a^{6} b^{4} + 20 B a^{7} b^{3}\right) + x^{5} \left(24 A a^{7} b^{3} + 9 B a^{8} b^{2}\right) + x^{4} \left(\frac{45 A a^{8} b^{2}}{4} + \frac{5 B a^{9} b}{2}\right) + x^{3} \left(\frac{10 A a^{9} b}{3} + \frac{B a^{10}}{3}\right)"," ",0,"A*a**10*x**2/2 + B*b**10*x**13/13 + x**12*(A*b**10/12 + 5*B*a*b**9/6) + x**11*(10*A*a*b**9/11 + 45*B*a**2*b**8/11) + x**10*(9*A*a**2*b**8/2 + 12*B*a**3*b**7) + x**9*(40*A*a**3*b**7/3 + 70*B*a**4*b**6/3) + x**8*(105*A*a**4*b**6/4 + 63*B*a**5*b**5/2) + x**7*(36*A*a**5*b**5 + 30*B*a**6*b**4) + x**6*(35*A*a**6*b**4 + 20*B*a**7*b**3) + x**5*(24*A*a**7*b**3 + 9*B*a**8*b**2) + x**4*(45*A*a**8*b**2/4 + 5*B*a**9*b/2) + x**3*(10*A*a**9*b/3 + B*a**10/3)","B",0
147,1,248,0,0.289392," ","integrate((b*x+a)**10*(B*x+A),x)","A a^{10} x + \frac{B b^{10} x^{12}}{12} + x^{11} \left(\frac{A b^{10}}{11} + \frac{10 B a b^{9}}{11}\right) + x^{10} \left(A a b^{9} + \frac{9 B a^{2} b^{8}}{2}\right) + x^{9} \left(5 A a^{2} b^{8} + \frac{40 B a^{3} b^{7}}{3}\right) + x^{8} \left(15 A a^{3} b^{7} + \frac{105 B a^{4} b^{6}}{4}\right) + x^{7} \left(30 A a^{4} b^{6} + 36 B a^{5} b^{5}\right) + x^{6} \left(42 A a^{5} b^{5} + 35 B a^{6} b^{4}\right) + x^{5} \left(42 A a^{6} b^{4} + 24 B a^{7} b^{3}\right) + x^{4} \left(30 A a^{7} b^{3} + \frac{45 B a^{8} b^{2}}{4}\right) + x^{3} \left(15 A a^{8} b^{2} + \frac{10 B a^{9} b}{3}\right) + x^{2} \left(5 A a^{9} b + \frac{B a^{10}}{2}\right)"," ",0,"A*a**10*x + B*b**10*x**12/12 + x**11*(A*b**10/11 + 10*B*a*b**9/11) + x**10*(A*a*b**9 + 9*B*a**2*b**8/2) + x**9*(5*A*a**2*b**8 + 40*B*a**3*b**7/3) + x**8*(15*A*a**3*b**7 + 105*B*a**4*b**6/4) + x**7*(30*A*a**4*b**6 + 36*B*a**5*b**5) + x**6*(42*A*a**5*b**5 + 35*B*a**6*b**4) + x**5*(42*A*a**6*b**4 + 24*B*a**7*b**3) + x**4*(30*A*a**7*b**3 + 45*B*a**8*b**2/4) + x**3*(15*A*a**8*b**2 + 10*B*a**9*b/3) + x**2*(5*A*a**9*b + B*a**10/2)","B",0
148,1,246,0,0.549294," ","integrate((b*x+a)**10*(B*x+A)/x,x)","A a^{10} \log{\left(x \right)} + \frac{B b^{10} x^{11}}{11} + x^{10} \left(\frac{A b^{10}}{10} + B a b^{9}\right) + x^{9} \left(\frac{10 A a b^{9}}{9} + 5 B a^{2} b^{8}\right) + x^{8} \left(\frac{45 A a^{2} b^{8}}{8} + 15 B a^{3} b^{7}\right) + x^{7} \left(\frac{120 A a^{3} b^{7}}{7} + 30 B a^{4} b^{6}\right) + x^{6} \left(35 A a^{4} b^{6} + 42 B a^{5} b^{5}\right) + x^{5} \left(\frac{252 A a^{5} b^{5}}{5} + 42 B a^{6} b^{4}\right) + x^{4} \left(\frac{105 A a^{6} b^{4}}{2} + 30 B a^{7} b^{3}\right) + x^{3} \left(40 A a^{7} b^{3} + 15 B a^{8} b^{2}\right) + x^{2} \left(\frac{45 A a^{8} b^{2}}{2} + 5 B a^{9} b\right) + x \left(10 A a^{9} b + B a^{10}\right)"," ",0,"A*a**10*log(x) + B*b**10*x**11/11 + x**10*(A*b**10/10 + B*a*b**9) + x**9*(10*A*a*b**9/9 + 5*B*a**2*b**8) + x**8*(45*A*a**2*b**8/8 + 15*B*a**3*b**7) + x**7*(120*A*a**3*b**7/7 + 30*B*a**4*b**6) + x**6*(35*A*a**4*b**6 + 42*B*a**5*b**5) + x**5*(252*A*a**5*b**5/5 + 42*B*a**6*b**4) + x**4*(105*A*a**6*b**4/2 + 30*B*a**7*b**3) + x**3*(40*A*a**7*b**3 + 15*B*a**8*b**2) + x**2*(45*A*a**8*b**2/2 + 5*B*a**9*b) + x*(10*A*a**9*b + B*a**10)","A",0
149,1,248,0,0.663299," ","integrate((b*x+a)**10*(B*x+A)/x**2,x)","- \frac{A a^{10}}{x} + \frac{B b^{10} x^{10}}{10} + a^{9} \left(10 A b + B a\right) \log{\left(x \right)} + x^{9} \left(\frac{A b^{10}}{9} + \frac{10 B a b^{9}}{9}\right) + x^{8} \left(\frac{5 A a b^{9}}{4} + \frac{45 B a^{2} b^{8}}{8}\right) + x^{7} \left(\frac{45 A a^{2} b^{8}}{7} + \frac{120 B a^{3} b^{7}}{7}\right) + x^{6} \left(20 A a^{3} b^{7} + 35 B a^{4} b^{6}\right) + x^{5} \left(42 A a^{4} b^{6} + \frac{252 B a^{5} b^{5}}{5}\right) + x^{4} \left(63 A a^{5} b^{5} + \frac{105 B a^{6} b^{4}}{2}\right) + x^{3} \left(70 A a^{6} b^{4} + 40 B a^{7} b^{3}\right) + x^{2} \left(60 A a^{7} b^{3} + \frac{45 B a^{8} b^{2}}{2}\right) + x \left(45 A a^{8} b^{2} + 10 B a^{9} b\right)"," ",0,"-A*a**10/x + B*b**10*x**10/10 + a**9*(10*A*b + B*a)*log(x) + x**9*(A*b**10/9 + 10*B*a*b**9/9) + x**8*(5*A*a*b**9/4 + 45*B*a**2*b**8/8) + x**7*(45*A*a**2*b**8/7 + 120*B*a**3*b**7/7) + x**6*(20*A*a**3*b**7 + 35*B*a**4*b**6) + x**5*(42*A*a**4*b**6 + 252*B*a**5*b**5/5) + x**4*(63*A*a**5*b**5 + 105*B*a**6*b**4/2) + x**3*(70*A*a**6*b**4 + 40*B*a**7*b**3) + x**2*(60*A*a**7*b**3 + 45*B*a**8*b**2/2) + x*(45*A*a**8*b**2 + 10*B*a**9*b)","A",0
150,1,248,0,1.104656," ","integrate((b*x+a)**10*(B*x+A)/x**3,x)","\frac{B b^{10} x^{9}}{9} + 5 a^{8} b \left(9 A b + 2 B a\right) \log{\left(x \right)} + x^{8} \left(\frac{A b^{10}}{8} + \frac{5 B a b^{9}}{4}\right) + x^{7} \left(\frac{10 A a b^{9}}{7} + \frac{45 B a^{2} b^{8}}{7}\right) + x^{6} \left(\frac{15 A a^{2} b^{8}}{2} + 20 B a^{3} b^{7}\right) + x^{5} \left(24 A a^{3} b^{7} + 42 B a^{4} b^{6}\right) + x^{4} \left(\frac{105 A a^{4} b^{6}}{2} + 63 B a^{5} b^{5}\right) + x^{3} \left(84 A a^{5} b^{5} + 70 B a^{6} b^{4}\right) + x^{2} \left(105 A a^{6} b^{4} + 60 B a^{7} b^{3}\right) + x \left(120 A a^{7} b^{3} + 45 B a^{8} b^{2}\right) + \frac{- A a^{10} + x \left(- 20 A a^{9} b - 2 B a^{10}\right)}{2 x^{2}}"," ",0,"B*b**10*x**9/9 + 5*a**8*b*(9*A*b + 2*B*a)*log(x) + x**8*(A*b**10/8 + 5*B*a*b**9/4) + x**7*(10*A*a*b**9/7 + 45*B*a**2*b**8/7) + x**6*(15*A*a**2*b**8/2 + 20*B*a**3*b**7) + x**5*(24*A*a**3*b**7 + 42*B*a**4*b**6) + x**4*(105*A*a**4*b**6/2 + 63*B*a**5*b**5) + x**3*(84*A*a**5*b**5 + 70*B*a**6*b**4) + x**2*(105*A*a**6*b**4 + 60*B*a**7*b**3) + x*(120*A*a**7*b**3 + 45*B*a**8*b**2) + (-A*a**10 + x*(-20*A*a**9*b - 2*B*a**10))/(2*x**2)","A",0
151,1,250,0,1.205440," ","integrate((b*x+a)**10*(B*x+A)/x**4,x)","\frac{B b^{10} x^{8}}{8} + 15 a^{7} b^{2} \left(8 A b + 3 B a\right) \log{\left(x \right)} + x^{7} \left(\frac{A b^{10}}{7} + \frac{10 B a b^{9}}{7}\right) + x^{6} \left(\frac{5 A a b^{9}}{3} + \frac{15 B a^{2} b^{8}}{2}\right) + x^{5} \left(9 A a^{2} b^{8} + 24 B a^{3} b^{7}\right) + x^{4} \left(30 A a^{3} b^{7} + \frac{105 B a^{4} b^{6}}{2}\right) + x^{3} \left(70 A a^{4} b^{6} + 84 B a^{5} b^{5}\right) + x^{2} \left(126 A a^{5} b^{5} + 105 B a^{6} b^{4}\right) + x \left(210 A a^{6} b^{4} + 120 B a^{7} b^{3}\right) + \frac{- 2 A a^{10} + x^{2} \left(- 270 A a^{8} b^{2} - 60 B a^{9} b\right) + x \left(- 30 A a^{9} b - 3 B a^{10}\right)}{6 x^{3}}"," ",0,"B*b**10*x**8/8 + 15*a**7*b**2*(8*A*b + 3*B*a)*log(x) + x**7*(A*b**10/7 + 10*B*a*b**9/7) + x**6*(5*A*a*b**9/3 + 15*B*a**2*b**8/2) + x**5*(9*A*a**2*b**8 + 24*B*a**3*b**7) + x**4*(30*A*a**3*b**7 + 105*B*a**4*b**6/2) + x**3*(70*A*a**4*b**6 + 84*B*a**5*b**5) + x**2*(126*A*a**5*b**5 + 105*B*a**6*b**4) + x*(210*A*a**6*b**4 + 120*B*a**7*b**3) + (-2*A*a**10 + x**2*(-270*A*a**8*b**2 - 60*B*a**9*b) + x*(-30*A*a**9*b - 3*B*a**10))/(6*x**3)","A",0
152,1,248,0,2.203077," ","integrate((b*x+a)**10*(B*x+A)/x**5,x)","\frac{B b^{10} x^{7}}{7} + 30 a^{6} b^{3} \left(7 A b + 4 B a\right) \log{\left(x \right)} + x^{6} \left(\frac{A b^{10}}{6} + \frac{5 B a b^{9}}{3}\right) + x^{5} \left(2 A a b^{9} + 9 B a^{2} b^{8}\right) + x^{4} \left(\frac{45 A a^{2} b^{8}}{4} + 30 B a^{3} b^{7}\right) + x^{3} \left(40 A a^{3} b^{7} + 70 B a^{4} b^{6}\right) + x^{2} \left(105 A a^{4} b^{6} + 126 B a^{5} b^{5}\right) + x \left(252 A a^{5} b^{5} + 210 B a^{6} b^{4}\right) + \frac{- 3 A a^{10} + x^{3} \left(- 1440 A a^{7} b^{3} - 540 B a^{8} b^{2}\right) + x^{2} \left(- 270 A a^{8} b^{2} - 60 B a^{9} b\right) + x \left(- 40 A a^{9} b - 4 B a^{10}\right)}{12 x^{4}}"," ",0,"B*b**10*x**7/7 + 30*a**6*b**3*(7*A*b + 4*B*a)*log(x) + x**6*(A*b**10/6 + 5*B*a*b**9/3) + x**5*(2*A*a*b**9 + 9*B*a**2*b**8) + x**4*(45*A*a**2*b**8/4 + 30*B*a**3*b**7) + x**3*(40*A*a**3*b**7 + 70*B*a**4*b**6) + x**2*(105*A*a**4*b**6 + 126*B*a**5*b**5) + x*(252*A*a**5*b**5 + 210*B*a**6*b**4) + (-3*A*a**10 + x**3*(-1440*A*a**7*b**3 - 540*B*a**8*b**2) + x**2*(-270*A*a**8*b**2 - 60*B*a**9*b) + x*(-40*A*a**9*b - 4*B*a**10))/(12*x**4)","A",0
153,1,250,0,3.342373," ","integrate((b*x+a)**10*(B*x+A)/x**6,x)","\frac{B b^{10} x^{6}}{6} + 42 a^{5} b^{4} \left(6 A b + 5 B a\right) \log{\left(x \right)} + x^{5} \left(\frac{A b^{10}}{5} + 2 B a b^{9}\right) + x^{4} \left(\frac{5 A a b^{9}}{2} + \frac{45 B a^{2} b^{8}}{4}\right) + x^{3} \left(15 A a^{2} b^{8} + 40 B a^{3} b^{7}\right) + x^{2} \left(60 A a^{3} b^{7} + 105 B a^{4} b^{6}\right) + x \left(210 A a^{4} b^{6} + 252 B a^{5} b^{5}\right) + \frac{- 12 A a^{10} + x^{4} \left(- 12600 A a^{6} b^{4} - 7200 B a^{7} b^{3}\right) + x^{3} \left(- 3600 A a^{7} b^{3} - 1350 B a^{8} b^{2}\right) + x^{2} \left(- 900 A a^{8} b^{2} - 200 B a^{9} b\right) + x \left(- 150 A a^{9} b - 15 B a^{10}\right)}{60 x^{5}}"," ",0,"B*b**10*x**6/6 + 42*a**5*b**4*(6*A*b + 5*B*a)*log(x) + x**5*(A*b**10/5 + 2*B*a*b**9) + x**4*(5*A*a*b**9/2 + 45*B*a**2*b**8/4) + x**3*(15*A*a**2*b**8 + 40*B*a**3*b**7) + x**2*(60*A*a**3*b**7 + 105*B*a**4*b**6) + x*(210*A*a**4*b**6 + 252*B*a**5*b**5) + (-12*A*a**10 + x**4*(-12600*A*a**6*b**4 - 7200*B*a**7*b**3) + x**3*(-3600*A*a**7*b**3 - 1350*B*a**8*b**2) + x**2*(-900*A*a**8*b**2 - 200*B*a**9*b) + x*(-150*A*a**9*b - 15*B*a**10))/(60*x**5)","A",0
154,1,253,0,4.559949," ","integrate((b*x+a)**10*(B*x+A)/x**7,x)","\frac{B b^{10} x^{5}}{5} + 42 a^{4} b^{5} \left(5 A b + 6 B a\right) \log{\left(x \right)} + x^{4} \left(\frac{A b^{10}}{4} + \frac{5 B a b^{9}}{2}\right) + x^{3} \left(\frac{10 A a b^{9}}{3} + 15 B a^{2} b^{8}\right) + x^{2} \left(\frac{45 A a^{2} b^{8}}{2} + 60 B a^{3} b^{7}\right) + x \left(120 A a^{3} b^{7} + 210 B a^{4} b^{6}\right) + \frac{- 10 A a^{10} + x^{5} \left(- 15120 A a^{5} b^{5} - 12600 B a^{6} b^{4}\right) + x^{4} \left(- 6300 A a^{6} b^{4} - 3600 B a^{7} b^{3}\right) + x^{3} \left(- 2400 A a^{7} b^{3} - 900 B a^{8} b^{2}\right) + x^{2} \left(- 675 A a^{8} b^{2} - 150 B a^{9} b\right) + x \left(- 120 A a^{9} b - 12 B a^{10}\right)}{60 x^{6}}"," ",0,"B*b**10*x**5/5 + 42*a**4*b**5*(5*A*b + 6*B*a)*log(x) + x**4*(A*b**10/4 + 5*B*a*b**9/2) + x**3*(10*A*a*b**9/3 + 15*B*a**2*b**8) + x**2*(45*A*a**2*b**8/2 + 60*B*a**3*b**7) + x*(120*A*a**3*b**7 + 210*B*a**4*b**6) + (-10*A*a**10 + x**5*(-15120*A*a**5*b**5 - 12600*B*a**6*b**4) + x**4*(-6300*A*a**6*b**4 - 3600*B*a**7*b**3) + x**3*(-2400*A*a**7*b**3 - 900*B*a**8*b**2) + x**2*(-675*A*a**8*b**2 - 150*B*a**9*b) + x*(-120*A*a**9*b - 12*B*a**10))/(60*x**6)","A",0
155,1,253,0,6.067184," ","integrate((b*x+a)**10*(B*x+A)/x**8,x)","\frac{B b^{10} x^{4}}{4} + 30 a^{3} b^{6} \left(4 A b + 7 B a\right) \log{\left(x \right)} + x^{3} \left(\frac{A b^{10}}{3} + \frac{10 B a b^{9}}{3}\right) + x^{2} \left(5 A a b^{9} + \frac{45 B a^{2} b^{8}}{2}\right) + x \left(45 A a^{2} b^{8} + 120 B a^{3} b^{7}\right) + \frac{- 12 A a^{10} + x^{6} \left(- 17640 A a^{4} b^{6} - 21168 B a^{5} b^{5}\right) + x^{5} \left(- 10584 A a^{5} b^{5} - 8820 B a^{6} b^{4}\right) + x^{4} \left(- 5880 A a^{6} b^{4} - 3360 B a^{7} b^{3}\right) + x^{3} \left(- 2520 A a^{7} b^{3} - 945 B a^{8} b^{2}\right) + x^{2} \left(- 756 A a^{8} b^{2} - 168 B a^{9} b\right) + x \left(- 140 A a^{9} b - 14 B a^{10}\right)}{84 x^{7}}"," ",0,"B*b**10*x**4/4 + 30*a**3*b**6*(4*A*b + 7*B*a)*log(x) + x**3*(A*b**10/3 + 10*B*a*b**9/3) + x**2*(5*A*a*b**9 + 45*B*a**2*b**8/2) + x*(45*A*a**2*b**8 + 120*B*a**3*b**7) + (-12*A*a**10 + x**6*(-17640*A*a**4*b**6 - 21168*B*a**5*b**5) + x**5*(-10584*A*a**5*b**5 - 8820*B*a**6*b**4) + x**4*(-5880*A*a**6*b**4 - 3360*B*a**7*b**3) + x**3*(-2520*A*a**7*b**3 - 945*B*a**8*b**2) + x**2*(-756*A*a**8*b**2 - 168*B*a**9*b) + x*(-140*A*a**9*b - 14*B*a**10))/(84*x**7)","A",0
156,1,252,0,9.049464," ","integrate((b*x+a)**10*(B*x+A)/x**9,x)","\frac{B b^{10} x^{3}}{3} + 15 a^{2} b^{7} \left(3 A b + 8 B a\right) \log{\left(x \right)} + x^{2} \left(\frac{A b^{10}}{2} + 5 B a b^{9}\right) + x \left(10 A a b^{9} + 45 B a^{2} b^{8}\right) + \frac{- 21 A a^{10} + x^{7} \left(- 20160 A a^{3} b^{7} - 35280 B a^{4} b^{6}\right) + x^{6} \left(- 17640 A a^{4} b^{6} - 21168 B a^{5} b^{5}\right) + x^{5} \left(- 14112 A a^{5} b^{5} - 11760 B a^{6} b^{4}\right) + x^{4} \left(- 8820 A a^{6} b^{4} - 5040 B a^{7} b^{3}\right) + x^{3} \left(- 4032 A a^{7} b^{3} - 1512 B a^{8} b^{2}\right) + x^{2} \left(- 1260 A a^{8} b^{2} - 280 B a^{9} b\right) + x \left(- 240 A a^{9} b - 24 B a^{10}\right)}{168 x^{8}}"," ",0,"B*b**10*x**3/3 + 15*a**2*b**7*(3*A*b + 8*B*a)*log(x) + x**2*(A*b**10/2 + 5*B*a*b**9) + x*(10*A*a*b**9 + 45*B*a**2*b**8) + (-21*A*a**10 + x**7*(-20160*A*a**3*b**7 - 35280*B*a**4*b**6) + x**6*(-17640*A*a**4*b**6 - 21168*B*a**5*b**5) + x**5*(-14112*A*a**5*b**5 - 11760*B*a**6*b**4) + x**4*(-8820*A*a**6*b**4 - 5040*B*a**7*b**3) + x**3*(-4032*A*a**7*b**3 - 1512*B*a**8*b**2) + x**2*(-1260*A*a**8*b**2 - 280*B*a**9*b) + x*(-240*A*a**9*b - 24*B*a**10))/(168*x**8)","A",0
157,1,252,0,11.432959," ","integrate((b*x+a)**10*(B*x+A)/x**10,x)","\frac{B b^{10} x^{2}}{2} + 5 a b^{8} \left(2 A b + 9 B a\right) \log{\left(x \right)} + x \left(A b^{10} + 10 B a b^{9}\right) + \frac{- 56 A a^{10} + x^{8} \left(- 22680 A a^{2} b^{8} - 60480 B a^{3} b^{7}\right) + x^{7} \left(- 30240 A a^{3} b^{7} - 52920 B a^{4} b^{6}\right) + x^{6} \left(- 35280 A a^{4} b^{6} - 42336 B a^{5} b^{5}\right) + x^{5} \left(- 31752 A a^{5} b^{5} - 26460 B a^{6} b^{4}\right) + x^{4} \left(- 21168 A a^{6} b^{4} - 12096 B a^{7} b^{3}\right) + x^{3} \left(- 10080 A a^{7} b^{3} - 3780 B a^{8} b^{2}\right) + x^{2} \left(- 3240 A a^{8} b^{2} - 720 B a^{9} b\right) + x \left(- 630 A a^{9} b - 63 B a^{10}\right)}{504 x^{9}}"," ",0,"B*b**10*x**2/2 + 5*a*b**8*(2*A*b + 9*B*a)*log(x) + x*(A*b**10 + 10*B*a*b**9) + (-56*A*a**10 + x**8*(-22680*A*a**2*b**8 - 60480*B*a**3*b**7) + x**7*(-30240*A*a**3*b**7 - 52920*B*a**4*b**6) + x**6*(-35280*A*a**4*b**6 - 42336*B*a**5*b**5) + x**5*(-31752*A*a**5*b**5 - 26460*B*a**6*b**4) + x**4*(-21168*A*a**6*b**4 - 12096*B*a**7*b**3) + x**3*(-10080*A*a**7*b**3 - 3780*B*a**8*b**2) + x**2*(-3240*A*a**8*b**2 - 720*B*a**9*b) + x*(-630*A*a**9*b - 63*B*a**10))/(504*x**9)","A",0
158,1,252,0,16.819124," ","integrate((b*x+a)**10*(B*x+A)/x**11,x)","B b^{10} x + b^{9} \left(A b + 10 B a\right) \log{\left(x \right)} + \frac{- 252 A a^{10} + x^{9} \left(- 25200 A a b^{9} - 113400 B a^{2} b^{8}\right) + x^{8} \left(- 56700 A a^{2} b^{8} - 151200 B a^{3} b^{7}\right) + x^{7} \left(- 100800 A a^{3} b^{7} - 176400 B a^{4} b^{6}\right) + x^{6} \left(- 132300 A a^{4} b^{6} - 158760 B a^{5} b^{5}\right) + x^{5} \left(- 127008 A a^{5} b^{5} - 105840 B a^{6} b^{4}\right) + x^{4} \left(- 88200 A a^{6} b^{4} - 50400 B a^{7} b^{3}\right) + x^{3} \left(- 43200 A a^{7} b^{3} - 16200 B a^{8} b^{2}\right) + x^{2} \left(- 14175 A a^{8} b^{2} - 3150 B a^{9} b\right) + x \left(- 2800 A a^{9} b - 280 B a^{10}\right)}{2520 x^{10}}"," ",0,"B*b**10*x + b**9*(A*b + 10*B*a)*log(x) + (-252*A*a**10 + x**9*(-25200*A*a*b**9 - 113400*B*a**2*b**8) + x**8*(-56700*A*a**2*b**8 - 151200*B*a**3*b**7) + x**7*(-100800*A*a**3*b**7 - 176400*B*a**4*b**6) + x**6*(-132300*A*a**4*b**6 - 158760*B*a**5*b**5) + x**5*(-127008*A*a**5*b**5 - 105840*B*a**6*b**4) + x**4*(-88200*A*a**6*b**4 - 50400*B*a**7*b**3) + x**3*(-43200*A*a**7*b**3 - 16200*B*a**8*b**2) + x**2*(-14175*A*a**8*b**2 - 3150*B*a**9*b) + x*(-2800*A*a**9*b - 280*B*a**10))/(2520*x**10)","A",0
159,1,258,0,21.703814," ","integrate((b*x+a)**10*(B*x+A)/x**12,x)","B b^{10} \log{\left(x \right)} + \frac{- 2520 A a^{10} + x^{10} \left(- 27720 A b^{10} - 277200 B a b^{9}\right) + x^{9} \left(- 138600 A a b^{9} - 623700 B a^{2} b^{8}\right) + x^{8} \left(- 415800 A a^{2} b^{8} - 1108800 B a^{3} b^{7}\right) + x^{7} \left(- 831600 A a^{3} b^{7} - 1455300 B a^{4} b^{6}\right) + x^{6} \left(- 1164240 A a^{4} b^{6} - 1397088 B a^{5} b^{5}\right) + x^{5} \left(- 1164240 A a^{5} b^{5} - 970200 B a^{6} b^{4}\right) + x^{4} \left(- 831600 A a^{6} b^{4} - 475200 B a^{7} b^{3}\right) + x^{3} \left(- 415800 A a^{7} b^{3} - 155925 B a^{8} b^{2}\right) + x^{2} \left(- 138600 A a^{8} b^{2} - 30800 B a^{9} b\right) + x \left(- 27720 A a^{9} b - 2772 B a^{10}\right)}{27720 x^{11}}"," ",0,"B*b**10*log(x) + (-2520*A*a**10 + x**10*(-27720*A*b**10 - 277200*B*a*b**9) + x**9*(-138600*A*a*b**9 - 623700*B*a**2*b**8) + x**8*(-415800*A*a**2*b**8 - 1108800*B*a**3*b**7) + x**7*(-831600*A*a**3*b**7 - 1455300*B*a**4*b**6) + x**6*(-1164240*A*a**4*b**6 - 1397088*B*a**5*b**5) + x**5*(-1164240*A*a**5*b**5 - 970200*B*a**6*b**4) + x**4*(-831600*A*a**6*b**4 - 475200*B*a**7*b**3) + x**3*(-415800*A*a**7*b**3 - 155925*B*a**8*b**2) + x**2*(-138600*A*a**8*b**2 - 30800*B*a**9*b) + x*(-27720*A*a**9*b - 2772*B*a**10))/(27720*x**11)","A",0
160,1,260,0,27.586963," ","integrate((b*x+a)**10*(B*x+A)/x**13,x)","\frac{- 11 A a^{10} - 132 B b^{10} x^{11} + x^{10} \left(- 66 A b^{10} - 660 B a b^{9}\right) + x^{9} \left(- 440 A a b^{9} - 1980 B a^{2} b^{8}\right) + x^{8} \left(- 1485 A a^{2} b^{8} - 3960 B a^{3} b^{7}\right) + x^{7} \left(- 3168 A a^{3} b^{7} - 5544 B a^{4} b^{6}\right) + x^{6} \left(- 4620 A a^{4} b^{6} - 5544 B a^{5} b^{5}\right) + x^{5} \left(- 4752 A a^{5} b^{5} - 3960 B a^{6} b^{4}\right) + x^{4} \left(- 3465 A a^{6} b^{4} - 1980 B a^{7} b^{3}\right) + x^{3} \left(- 1760 A a^{7} b^{3} - 660 B a^{8} b^{2}\right) + x^{2} \left(- 594 A a^{8} b^{2} - 132 B a^{9} b\right) + x \left(- 120 A a^{9} b - 12 B a^{10}\right)}{132 x^{12}}"," ",0,"(-11*A*a**10 - 132*B*b**10*x**11 + x**10*(-66*A*b**10 - 660*B*a*b**9) + x**9*(-440*A*a*b**9 - 1980*B*a**2*b**8) + x**8*(-1485*A*a**2*b**8 - 3960*B*a**3*b**7) + x**7*(-3168*A*a**3*b**7 - 5544*B*a**4*b**6) + x**6*(-4620*A*a**4*b**6 - 5544*B*a**5*b**5) + x**5*(-4752*A*a**5*b**5 - 3960*B*a**6*b**4) + x**4*(-3465*A*a**6*b**4 - 1980*B*a**7*b**3) + x**3*(-1760*A*a**7*b**3 - 660*B*a**8*b**2) + x**2*(-594*A*a**8*b**2 - 132*B*a**9*b) + x*(-120*A*a**9*b - 12*B*a**10))/(132*x**12)","B",0
161,1,260,0,37.031882," ","integrate((b*x+a)**10*(B*x+A)/x**14,x)","\frac{- 132 A a^{10} - 858 B b^{10} x^{11} + x^{10} \left(- 572 A b^{10} - 5720 B a b^{9}\right) + x^{9} \left(- 4290 A a b^{9} - 19305 B a^{2} b^{8}\right) + x^{8} \left(- 15444 A a^{2} b^{8} - 41184 B a^{3} b^{7}\right) + x^{7} \left(- 34320 A a^{3} b^{7} - 60060 B a^{4} b^{6}\right) + x^{6} \left(- 51480 A a^{4} b^{6} - 61776 B a^{5} b^{5}\right) + x^{5} \left(- 54054 A a^{5} b^{5} - 45045 B a^{6} b^{4}\right) + x^{4} \left(- 40040 A a^{6} b^{4} - 22880 B a^{7} b^{3}\right) + x^{3} \left(- 20592 A a^{7} b^{3} - 7722 B a^{8} b^{2}\right) + x^{2} \left(- 7020 A a^{8} b^{2} - 1560 B a^{9} b\right) + x \left(- 1430 A a^{9} b - 143 B a^{10}\right)}{1716 x^{13}}"," ",0,"(-132*A*a**10 - 858*B*b**10*x**11 + x**10*(-572*A*b**10 - 5720*B*a*b**9) + x**9*(-4290*A*a*b**9 - 19305*B*a**2*b**8) + x**8*(-15444*A*a**2*b**8 - 41184*B*a**3*b**7) + x**7*(-34320*A*a**3*b**7 - 60060*B*a**4*b**6) + x**6*(-51480*A*a**4*b**6 - 61776*B*a**5*b**5) + x**5*(-54054*A*a**5*b**5 - 45045*B*a**6*b**4) + x**4*(-40040*A*a**6*b**4 - 22880*B*a**7*b**3) + x**3*(-20592*A*a**7*b**3 - 7722*B*a**8*b**2) + x**2*(-7020*A*a**8*b**2 - 1560*B*a**9*b) + x*(-1430*A*a**9*b - 143*B*a**10))/(1716*x**13)","B",0
162,1,260,0,52.236943," ","integrate((b*x+a)**10*(B*x+A)/x**15,x)","\frac{- 858 A a^{10} - 4004 B b^{10} x^{11} + x^{10} \left(- 3003 A b^{10} - 30030 B a b^{9}\right) + x^{9} \left(- 24024 A a b^{9} - 108108 B a^{2} b^{8}\right) + x^{8} \left(- 90090 A a^{2} b^{8} - 240240 B a^{3} b^{7}\right) + x^{7} \left(- 205920 A a^{3} b^{7} - 360360 B a^{4} b^{6}\right) + x^{6} \left(- 315315 A a^{4} b^{6} - 378378 B a^{5} b^{5}\right) + x^{5} \left(- 336336 A a^{5} b^{5} - 280280 B a^{6} b^{4}\right) + x^{4} \left(- 252252 A a^{6} b^{4} - 144144 B a^{7} b^{3}\right) + x^{3} \left(- 131040 A a^{7} b^{3} - 49140 B a^{8} b^{2}\right) + x^{2} \left(- 45045 A a^{8} b^{2} - 10010 B a^{9} b\right) + x \left(- 9240 A a^{9} b - 924 B a^{10}\right)}{12012 x^{14}}"," ",0,"(-858*A*a**10 - 4004*B*b**10*x**11 + x**10*(-3003*A*b**10 - 30030*B*a*b**9) + x**9*(-24024*A*a*b**9 - 108108*B*a**2*b**8) + x**8*(-90090*A*a**2*b**8 - 240240*B*a**3*b**7) + x**7*(-205920*A*a**3*b**7 - 360360*B*a**4*b**6) + x**6*(-315315*A*a**4*b**6 - 378378*B*a**5*b**5) + x**5*(-336336*A*a**5*b**5 - 280280*B*a**6*b**4) + x**4*(-252252*A*a**6*b**4 - 144144*B*a**7*b**3) + x**3*(-131040*A*a**7*b**3 - 49140*B*a**8*b**2) + x**2*(-45045*A*a**8*b**2 - 10010*B*a**9*b) + x*(-9240*A*a**9*b - 924*B*a**10))/(12012*x**14)","B",0
163,1,260,0,64.367540," ","integrate((b*x+a)**10*(B*x+A)/x**16,x)","\frac{- 4004 A a^{10} - 15015 B b^{10} x^{11} + x^{10} \left(- 12012 A b^{10} - 120120 B a b^{9}\right) + x^{9} \left(- 100100 A a b^{9} - 450450 B a^{2} b^{8}\right) + x^{8} \left(- 386100 A a^{2} b^{8} - 1029600 B a^{3} b^{7}\right) + x^{7} \left(- 900900 A a^{3} b^{7} - 1576575 B a^{4} b^{6}\right) + x^{6} \left(- 1401400 A a^{4} b^{6} - 1681680 B a^{5} b^{5}\right) + x^{5} \left(- 1513512 A a^{5} b^{5} - 1261260 B a^{6} b^{4}\right) + x^{4} \left(- 1146600 A a^{6} b^{4} - 655200 B a^{7} b^{3}\right) + x^{3} \left(- 600600 A a^{7} b^{3} - 225225 B a^{8} b^{2}\right) + x^{2} \left(- 207900 A a^{8} b^{2} - 46200 B a^{9} b\right) + x \left(- 42900 A a^{9} b - 4290 B a^{10}\right)}{60060 x^{15}}"," ",0,"(-4004*A*a**10 - 15015*B*b**10*x**11 + x**10*(-12012*A*b**10 - 120120*B*a*b**9) + x**9*(-100100*A*a*b**9 - 450450*B*a**2*b**8) + x**8*(-386100*A*a**2*b**8 - 1029600*B*a**3*b**7) + x**7*(-900900*A*a**3*b**7 - 1576575*B*a**4*b**6) + x**6*(-1401400*A*a**4*b**6 - 1681680*B*a**5*b**5) + x**5*(-1513512*A*a**5*b**5 - 1261260*B*a**6*b**4) + x**4*(-1146600*A*a**6*b**4 - 655200*B*a**7*b**3) + x**3*(-600600*A*a**7*b**3 - 225225*B*a**8*b**2) + x**2*(-207900*A*a**8*b**2 - 46200*B*a**9*b) + x*(-42900*A*a**9*b - 4290*B*a**10))/(60060*x**15)","B",0
164,1,260,0,86.741562," ","integrate((b*x+a)**10*(B*x+A)/x**17,x)","\frac{- 15015 A a^{10} - 48048 B b^{10} x^{11} + x^{10} \left(- 40040 A b^{10} - 400400 B a b^{9}\right) + x^{9} \left(- 343200 A a b^{9} - 1544400 B a^{2} b^{8}\right) + x^{8} \left(- 1351350 A a^{2} b^{8} - 3603600 B a^{3} b^{7}\right) + x^{7} \left(- 3203200 A a^{3} b^{7} - 5605600 B a^{4} b^{6}\right) + x^{6} \left(- 5045040 A a^{4} b^{6} - 6054048 B a^{5} b^{5}\right) + x^{5} \left(- 5503680 A a^{5} b^{5} - 4586400 B a^{6} b^{4}\right) + x^{4} \left(- 4204200 A a^{6} b^{4} - 2402400 B a^{7} b^{3}\right) + x^{3} \left(- 2217600 A a^{7} b^{3} - 831600 B a^{8} b^{2}\right) + x^{2} \left(- 772200 A a^{8} b^{2} - 171600 B a^{9} b\right) + x \left(- 160160 A a^{9} b - 16016 B a^{10}\right)}{240240 x^{16}}"," ",0,"(-15015*A*a**10 - 48048*B*b**10*x**11 + x**10*(-40040*A*b**10 - 400400*B*a*b**9) + x**9*(-343200*A*a*b**9 - 1544400*B*a**2*b**8) + x**8*(-1351350*A*a**2*b**8 - 3603600*B*a**3*b**7) + x**7*(-3203200*A*a**3*b**7 - 5605600*B*a**4*b**6) + x**6*(-5045040*A*a**4*b**6 - 6054048*B*a**5*b**5) + x**5*(-5503680*A*a**5*b**5 - 4586400*B*a**6*b**4) + x**4*(-4204200*A*a**6*b**4 - 2402400*B*a**7*b**3) + x**3*(-2217600*A*a**7*b**3 - 831600*B*a**8*b**2) + x**2*(-772200*A*a**8*b**2 - 171600*B*a**9*b) + x*(-160160*A*a**9*b - 16016*B*a**10))/(240240*x**16)","A",0
165,1,260,0,114.638960," ","integrate((b*x+a)**10*(B*x+A)/x**18,x)","\frac{- 48048 A a^{10} - 136136 B b^{10} x^{11} + x^{10} \left(- 116688 A b^{10} - 1166880 B a b^{9}\right) + x^{9} \left(- 1021020 A a b^{9} - 4594590 B a^{2} b^{8}\right) + x^{8} \left(- 4084080 A a^{2} b^{8} - 10890880 B a^{3} b^{7}\right) + x^{7} \left(- 9801792 A a^{3} b^{7} - 17153136 B a^{4} b^{6}\right) + x^{6} \left(- 15593760 A a^{4} b^{6} - 18712512 B a^{5} b^{5}\right) + x^{5} \left(- 17153136 A a^{5} b^{5} - 14294280 B a^{6} b^{4}\right) + x^{4} \left(- 13194720 A a^{6} b^{4} - 7539840 B a^{7} b^{3}\right) + x^{3} \left(- 7001280 A a^{7} b^{3} - 2625480 B a^{8} b^{2}\right) + x^{2} \left(- 2450448 A a^{8} b^{2} - 544544 B a^{9} b\right) + x \left(- 510510 A a^{9} b - 51051 B a^{10}\right)}{816816 x^{17}}"," ",0,"(-48048*A*a**10 - 136136*B*b**10*x**11 + x**10*(-116688*A*b**10 - 1166880*B*a*b**9) + x**9*(-1021020*A*a*b**9 - 4594590*B*a**2*b**8) + x**8*(-4084080*A*a**2*b**8 - 10890880*B*a**3*b**7) + x**7*(-9801792*A*a**3*b**7 - 17153136*B*a**4*b**6) + x**6*(-15593760*A*a**4*b**6 - 18712512*B*a**5*b**5) + x**5*(-17153136*A*a**5*b**5 - 14294280*B*a**6*b**4) + x**4*(-13194720*A*a**6*b**4 - 7539840*B*a**7*b**3) + x**3*(-7001280*A*a**7*b**3 - 2625480*B*a**8*b**2) + x**2*(-2450448*A*a**8*b**2 - 544544*B*a**9*b) + x*(-510510*A*a**9*b - 51051*B*a**10))/(816816*x**17)","A",0
166,1,260,0,165.441633," ","integrate((b*x+a)**10*(B*x+A)/x**19,x)","\frac{- 136136 A a^{10} - 350064 B b^{10} x^{11} + x^{10} \left(- 306306 A b^{10} - 3063060 B a b^{9}\right) + x^{9} \left(- 2722720 A a b^{9} - 12252240 B a^{2} b^{8}\right) + x^{8} \left(- 11027016 A a^{2} b^{8} - 29405376 B a^{3} b^{7}\right) + x^{7} \left(- 26732160 A a^{3} b^{7} - 46781280 B a^{4} b^{6}\right) + x^{6} \left(- 42882840 A a^{4} b^{6} - 51459408 B a^{5} b^{5}\right) + x^{5} \left(- 47500992 A a^{5} b^{5} - 39584160 B a^{6} b^{4}\right) + x^{4} \left(- 36756720 A a^{6} b^{4} - 21003840 B a^{7} b^{3}\right) + x^{3} \left(- 19603584 A a^{7} b^{3} - 7351344 B a^{8} b^{2}\right) + x^{2} \left(- 6891885 A a^{8} b^{2} - 1531530 B a^{9} b\right) + x \left(- 1441440 A a^{9} b - 144144 B a^{10}\right)}{2450448 x^{18}}"," ",0,"(-136136*A*a**10 - 350064*B*b**10*x**11 + x**10*(-306306*A*b**10 - 3063060*B*a*b**9) + x**9*(-2722720*A*a*b**9 - 12252240*B*a**2*b**8) + x**8*(-11027016*A*a**2*b**8 - 29405376*B*a**3*b**7) + x**7*(-26732160*A*a**3*b**7 - 46781280*B*a**4*b**6) + x**6*(-42882840*A*a**4*b**6 - 51459408*B*a**5*b**5) + x**5*(-47500992*A*a**5*b**5 - 39584160*B*a**6*b**4) + x**4*(-36756720*A*a**6*b**4 - 21003840*B*a**7*b**3) + x**3*(-19603584*A*a**7*b**3 - 7351344*B*a**8*b**2) + x**2*(-6891885*A*a**8*b**2 - 1531530*B*a**9*b) + x*(-1441440*A*a**9*b - 144144*B*a**10))/(2450448*x**18)","A",0
167,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/x**20,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/x**21,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,1,422,0,0.177089," ","integrate(x**3*(b*x+a)*(d*x+c)**16,x)","\frac{a c^{16} x^{4}}{4} + \frac{b d^{16} x^{21}}{21} + x^{20} \left(\frac{a d^{16}}{20} + \frac{4 b c d^{15}}{5}\right) + x^{19} \left(\frac{16 a c d^{15}}{19} + \frac{120 b c^{2} d^{14}}{19}\right) + x^{18} \left(\frac{20 a c^{2} d^{14}}{3} + \frac{280 b c^{3} d^{13}}{9}\right) + x^{17} \left(\frac{560 a c^{3} d^{13}}{17} + \frac{1820 b c^{4} d^{12}}{17}\right) + x^{16} \left(\frac{455 a c^{4} d^{12}}{4} + 273 b c^{5} d^{11}\right) + x^{15} \left(\frac{1456 a c^{5} d^{11}}{5} + \frac{8008 b c^{6} d^{10}}{15}\right) + x^{14} \left(572 a c^{6} d^{10} + \frac{5720 b c^{7} d^{9}}{7}\right) + x^{13} \left(880 a c^{7} d^{9} + 990 b c^{8} d^{8}\right) + x^{12} \left(\frac{2145 a c^{8} d^{8}}{2} + \frac{2860 b c^{9} d^{7}}{3}\right) + x^{11} \left(1040 a c^{9} d^{7} + 728 b c^{10} d^{6}\right) + x^{10} \left(\frac{4004 a c^{10} d^{6}}{5} + \frac{2184 b c^{11} d^{5}}{5}\right) + x^{9} \left(\frac{1456 a c^{11} d^{5}}{3} + \frac{1820 b c^{12} d^{4}}{9}\right) + x^{8} \left(\frac{455 a c^{12} d^{4}}{2} + 70 b c^{13} d^{3}\right) + x^{7} \left(80 a c^{13} d^{3} + \frac{120 b c^{14} d^{2}}{7}\right) + x^{6} \left(20 a c^{14} d^{2} + \frac{8 b c^{15} d}{3}\right) + x^{5} \left(\frac{16 a c^{15} d}{5} + \frac{b c^{16}}{5}\right)"," ",0,"a*c**16*x**4/4 + b*d**16*x**21/21 + x**20*(a*d**16/20 + 4*b*c*d**15/5) + x**19*(16*a*c*d**15/19 + 120*b*c**2*d**14/19) + x**18*(20*a*c**2*d**14/3 + 280*b*c**3*d**13/9) + x**17*(560*a*c**3*d**13/17 + 1820*b*c**4*d**12/17) + x**16*(455*a*c**4*d**12/4 + 273*b*c**5*d**11) + x**15*(1456*a*c**5*d**11/5 + 8008*b*c**6*d**10/15) + x**14*(572*a*c**6*d**10 + 5720*b*c**7*d**9/7) + x**13*(880*a*c**7*d**9 + 990*b*c**8*d**8) + x**12*(2145*a*c**8*d**8/2 + 2860*b*c**9*d**7/3) + x**11*(1040*a*c**9*d**7 + 728*b*c**10*d**6) + x**10*(4004*a*c**10*d**6/5 + 2184*b*c**11*d**5/5) + x**9*(1456*a*c**11*d**5/3 + 1820*b*c**12*d**4/9) + x**8*(455*a*c**12*d**4/2 + 70*b*c**13*d**3) + x**7*(80*a*c**13*d**3 + 120*b*c**14*d**2/7) + x**6*(20*a*c**14*d**2 + 8*b*c**15*d/3) + x**5*(16*a*c**15*d/5 + b*c**16/5)","B",0
170,1,413,0,0.169911," ","integrate(x**2*(b*x+a)*(d*x+c)**16,x)","\frac{a c^{16} x^{3}}{3} + \frac{b d^{16} x^{20}}{20} + x^{19} \left(\frac{a d^{16}}{19} + \frac{16 b c d^{15}}{19}\right) + x^{18} \left(\frac{8 a c d^{15}}{9} + \frac{20 b c^{2} d^{14}}{3}\right) + x^{17} \left(\frac{120 a c^{2} d^{14}}{17} + \frac{560 b c^{3} d^{13}}{17}\right) + x^{16} \left(35 a c^{3} d^{13} + \frac{455 b c^{4} d^{12}}{4}\right) + x^{15} \left(\frac{364 a c^{4} d^{12}}{3} + \frac{1456 b c^{5} d^{11}}{5}\right) + x^{14} \left(312 a c^{5} d^{11} + 572 b c^{6} d^{10}\right) + x^{13} \left(616 a c^{6} d^{10} + 880 b c^{7} d^{9}\right) + x^{12} \left(\frac{2860 a c^{7} d^{9}}{3} + \frac{2145 b c^{8} d^{8}}{2}\right) + x^{11} \left(1170 a c^{8} d^{8} + 1040 b c^{9} d^{7}\right) + x^{10} \left(1144 a c^{9} d^{7} + \frac{4004 b c^{10} d^{6}}{5}\right) + x^{9} \left(\frac{8008 a c^{10} d^{6}}{9} + \frac{1456 b c^{11} d^{5}}{3}\right) + x^{8} \left(546 a c^{11} d^{5} + \frac{455 b c^{12} d^{4}}{2}\right) + x^{7} \left(260 a c^{12} d^{4} + 80 b c^{13} d^{3}\right) + x^{6} \left(\frac{280 a c^{13} d^{3}}{3} + 20 b c^{14} d^{2}\right) + x^{5} \left(24 a c^{14} d^{2} + \frac{16 b c^{15} d}{5}\right) + x^{4} \left(4 a c^{15} d + \frac{b c^{16}}{4}\right)"," ",0,"a*c**16*x**3/3 + b*d**16*x**20/20 + x**19*(a*d**16/19 + 16*b*c*d**15/19) + x**18*(8*a*c*d**15/9 + 20*b*c**2*d**14/3) + x**17*(120*a*c**2*d**14/17 + 560*b*c**3*d**13/17) + x**16*(35*a*c**3*d**13 + 455*b*c**4*d**12/4) + x**15*(364*a*c**4*d**12/3 + 1456*b*c**5*d**11/5) + x**14*(312*a*c**5*d**11 + 572*b*c**6*d**10) + x**13*(616*a*c**6*d**10 + 880*b*c**7*d**9) + x**12*(2860*a*c**7*d**9/3 + 2145*b*c**8*d**8/2) + x**11*(1170*a*c**8*d**8 + 1040*b*c**9*d**7) + x**10*(1144*a*c**9*d**7 + 4004*b*c**10*d**6/5) + x**9*(8008*a*c**10*d**6/9 + 1456*b*c**11*d**5/3) + x**8*(546*a*c**11*d**5 + 455*b*c**12*d**4/2) + x**7*(260*a*c**12*d**4 + 80*b*c**13*d**3) + x**6*(280*a*c**13*d**3/3 + 20*b*c**14*d**2) + x**5*(24*a*c**14*d**2 + 16*b*c**15*d/5) + x**4*(4*a*c**15*d + b*c**16/4)","B",0
171,1,408,0,0.172354," ","integrate(x*(b*x+a)*(d*x+c)**16,x)","\frac{a c^{16} x^{2}}{2} + \frac{b d^{16} x^{19}}{19} + x^{18} \left(\frac{a d^{16}}{18} + \frac{8 b c d^{15}}{9}\right) + x^{17} \left(\frac{16 a c d^{15}}{17} + \frac{120 b c^{2} d^{14}}{17}\right) + x^{16} \left(\frac{15 a c^{2} d^{14}}{2} + 35 b c^{3} d^{13}\right) + x^{15} \left(\frac{112 a c^{3} d^{13}}{3} + \frac{364 b c^{4} d^{12}}{3}\right) + x^{14} \left(130 a c^{4} d^{12} + 312 b c^{5} d^{11}\right) + x^{13} \left(336 a c^{5} d^{11} + 616 b c^{6} d^{10}\right) + x^{12} \left(\frac{2002 a c^{6} d^{10}}{3} + \frac{2860 b c^{7} d^{9}}{3}\right) + x^{11} \left(1040 a c^{7} d^{9} + 1170 b c^{8} d^{8}\right) + x^{10} \left(1287 a c^{8} d^{8} + 1144 b c^{9} d^{7}\right) + x^{9} \left(\frac{11440 a c^{9} d^{7}}{9} + \frac{8008 b c^{10} d^{6}}{9}\right) + x^{8} \left(1001 a c^{10} d^{6} + 546 b c^{11} d^{5}\right) + x^{7} \left(624 a c^{11} d^{5} + 260 b c^{12} d^{4}\right) + x^{6} \left(\frac{910 a c^{12} d^{4}}{3} + \frac{280 b c^{13} d^{3}}{3}\right) + x^{5} \left(112 a c^{13} d^{3} + 24 b c^{14} d^{2}\right) + x^{4} \left(30 a c^{14} d^{2} + 4 b c^{15} d\right) + x^{3} \left(\frac{16 a c^{15} d}{3} + \frac{b c^{16}}{3}\right)"," ",0,"a*c**16*x**2/2 + b*d**16*x**19/19 + x**18*(a*d**16/18 + 8*b*c*d**15/9) + x**17*(16*a*c*d**15/17 + 120*b*c**2*d**14/17) + x**16*(15*a*c**2*d**14/2 + 35*b*c**3*d**13) + x**15*(112*a*c**3*d**13/3 + 364*b*c**4*d**12/3) + x**14*(130*a*c**4*d**12 + 312*b*c**5*d**11) + x**13*(336*a*c**5*d**11 + 616*b*c**6*d**10) + x**12*(2002*a*c**6*d**10/3 + 2860*b*c**7*d**9/3) + x**11*(1040*a*c**7*d**9 + 1170*b*c**8*d**8) + x**10*(1287*a*c**8*d**8 + 1144*b*c**9*d**7) + x**9*(11440*a*c**9*d**7/9 + 8008*b*c**10*d**6/9) + x**8*(1001*a*c**10*d**6 + 546*b*c**11*d**5) + x**7*(624*a*c**11*d**5 + 260*b*c**12*d**4) + x**6*(910*a*c**12*d**4/3 + 280*b*c**13*d**3/3) + x**5*(112*a*c**13*d**3 + 24*b*c**14*d**2) + x**4*(30*a*c**14*d**2 + 4*b*c**15*d) + x**3*(16*a*c**15*d/3 + b*c**16/3)","B",0
172,1,393,0,0.205721," ","integrate((b*x+a)*(d*x+c)**16,x)","a c^{16} x + \frac{b d^{16} x^{18}}{18} + x^{17} \left(\frac{a d^{16}}{17} + \frac{16 b c d^{15}}{17}\right) + x^{16} \left(a c d^{15} + \frac{15 b c^{2} d^{14}}{2}\right) + x^{15} \left(8 a c^{2} d^{14} + \frac{112 b c^{3} d^{13}}{3}\right) + x^{14} \left(40 a c^{3} d^{13} + 130 b c^{4} d^{12}\right) + x^{13} \left(140 a c^{4} d^{12} + 336 b c^{5} d^{11}\right) + x^{12} \left(364 a c^{5} d^{11} + \frac{2002 b c^{6} d^{10}}{3}\right) + x^{11} \left(728 a c^{6} d^{10} + 1040 b c^{7} d^{9}\right) + x^{10} \left(1144 a c^{7} d^{9} + 1287 b c^{8} d^{8}\right) + x^{9} \left(1430 a c^{8} d^{8} + \frac{11440 b c^{9} d^{7}}{9}\right) + x^{8} \left(1430 a c^{9} d^{7} + 1001 b c^{10} d^{6}\right) + x^{7} \left(1144 a c^{10} d^{6} + 624 b c^{11} d^{5}\right) + x^{6} \left(728 a c^{11} d^{5} + \frac{910 b c^{12} d^{4}}{3}\right) + x^{5} \left(364 a c^{12} d^{4} + 112 b c^{13} d^{3}\right) + x^{4} \left(140 a c^{13} d^{3} + 30 b c^{14} d^{2}\right) + x^{3} \left(40 a c^{14} d^{2} + \frac{16 b c^{15} d}{3}\right) + x^{2} \left(8 a c^{15} d + \frac{b c^{16}}{2}\right)"," ",0,"a*c**16*x + b*d**16*x**18/18 + x**17*(a*d**16/17 + 16*b*c*d**15/17) + x**16*(a*c*d**15 + 15*b*c**2*d**14/2) + x**15*(8*a*c**2*d**14 + 112*b*c**3*d**13/3) + x**14*(40*a*c**3*d**13 + 130*b*c**4*d**12) + x**13*(140*a*c**4*d**12 + 336*b*c**5*d**11) + x**12*(364*a*c**5*d**11 + 2002*b*c**6*d**10/3) + x**11*(728*a*c**6*d**10 + 1040*b*c**7*d**9) + x**10*(1144*a*c**7*d**9 + 1287*b*c**8*d**8) + x**9*(1430*a*c**8*d**8 + 11440*b*c**9*d**7/9) + x**8*(1430*a*c**9*d**7 + 1001*b*c**10*d**6) + x**7*(1144*a*c**10*d**6 + 624*b*c**11*d**5) + x**6*(728*a*c**11*d**5 + 910*b*c**12*d**4/3) + x**5*(364*a*c**12*d**4 + 112*b*c**13*d**3) + x**4*(140*a*c**13*d**3 + 30*b*c**14*d**2) + x**3*(40*a*c**14*d**2 + 16*b*c**15*d/3) + x**2*(8*a*c**15*d + b*c**16/2)","B",0
173,1,37,0,0.143074," ","integrate(x**2*(2+x)**5*(2+3*x),x)","\frac{x^{9}}{3} + 4 x^{8} + 20 x^{7} + \frac{160 x^{6}}{3} + 80 x^{5} + 64 x^{4} + \frac{64 x^{3}}{3}"," ",0,"x**9/3 + 4*x**8 + 20*x**7 + 160*x**6/3 + 80*x**5 + 64*x**4 + 64*x**3/3","B",0
174,1,109,0,0.718827," ","integrate(x**4*(B*x+A)/(b*x+a),x)","\frac{B x^{5}}{5 b} - \frac{a^{4} \left(- A b + B a\right) \log{\left(a + b x \right)}}{b^{6}} + x^{4} \left(\frac{A}{4 b} - \frac{B a}{4 b^{2}}\right) + x^{3} \left(- \frac{A a}{3 b^{2}} + \frac{B a^{2}}{3 b^{3}}\right) + x^{2} \left(\frac{A a^{2}}{2 b^{3}} - \frac{B a^{3}}{2 b^{4}}\right) + x \left(- \frac{A a^{3}}{b^{4}} + \frac{B a^{4}}{b^{5}}\right)"," ",0,"B*x**5/(5*b) - a**4*(-A*b + B*a)*log(a + b*x)/b**6 + x**4*(A/(4*b) - B*a/(4*b**2)) + x**3*(-A*a/(3*b**2) + B*a**2/(3*b**3)) + x**2*(A*a**2/(2*b**3) - B*a**3/(2*b**4)) + x*(-A*a**3/b**4 + B*a**4/b**5)","A",0
175,1,85,0,0.264251," ","integrate(x**3*(B*x+A)/(b*x+a),x)","\frac{B x^{4}}{4 b} + \frac{a^{3} \left(- A b + B a\right) \log{\left(a + b x \right)}}{b^{5}} + x^{3} \left(\frac{A}{3 b} - \frac{B a}{3 b^{2}}\right) + x^{2} \left(- \frac{A a}{2 b^{2}} + \frac{B a^{2}}{2 b^{3}}\right) + x \left(\frac{A a^{2}}{b^{3}} - \frac{B a^{3}}{b^{4}}\right)"," ",0,"B*x**4/(4*b) + a**3*(-A*b + B*a)*log(a + b*x)/b**5 + x**3*(A/(3*b) - B*a/(3*b**2)) + x**2*(-A*a/(2*b**2) + B*a**2/(2*b**3)) + x*(A*a**2/b**3 - B*a**3/b**4)","A",0
176,1,61,0,0.451777," ","integrate(x**2*(B*x+A)/(b*x+a),x)","\frac{B x^{3}}{3 b} - \frac{a^{2} \left(- A b + B a\right) \log{\left(a + b x \right)}}{b^{4}} + x^{2} \left(\frac{A}{2 b} - \frac{B a}{2 b^{2}}\right) + x \left(- \frac{A a}{b^{2}} + \frac{B a^{2}}{b^{3}}\right)"," ",0,"B*x**3/(3*b) - a**2*(-A*b + B*a)*log(a + b*x)/b**4 + x**2*(A/(2*b) - B*a/(2*b**2)) + x*(-A*a/b**2 + B*a**2/b**3)","A",0
177,1,37,0,0.213603," ","integrate(x*(B*x+A)/(b*x+a),x)","\frac{B x^{2}}{2 b} + \frac{a \left(- A b + B a\right) \log{\left(a + b x \right)}}{b^{3}} + x \left(\frac{A}{b} - \frac{B a}{b^{2}}\right)"," ",0,"B*x**2/(2*b) + a*(-A*b + B*a)*log(a + b*x)/b**3 + x*(A/b - B*a/b**2)","A",0
178,1,20,0,0.366630," ","integrate((B*x+A)/(b*x+a),x)","\frac{B x}{b} - \frac{\left(- A b + B a\right) \log{\left(a + b x \right)}}{b^{2}}"," ",0,"B*x/b - (-A*b + B*a)*log(a + b*x)/b**2","A",0
179,1,41,0,0.650981," ","integrate((B*x+A)/x/(b*x+a),x)","\frac{A \log{\left(x \right)}}{a} + \frac{\left(- A b + B a\right) \log{\left(x + \frac{- A a + \frac{a \left(- A b + B a\right)}{b}}{- 2 A b + B a} \right)}}{a b}"," ",0,"A*log(x)/a + (-A*b + B*a)*log(x + (-A*a + a*(-A*b + B*a)/b)/(-2*A*b + B*a))/(a*b)","A",0
180,1,95,0,0.398891," ","integrate((B*x+A)/x**2/(b*x+a),x)","- \frac{A}{a x} + \frac{\left(- A b + B a\right) \log{\left(x + \frac{- A a b + B a^{2} - a \left(- A b + B a\right)}{- 2 A b^{2} + 2 B a b} \right)}}{a^{2}} - \frac{\left(- A b + B a\right) \log{\left(x + \frac{- A a b + B a^{2} + a \left(- A b + B a\right)}{- 2 A b^{2} + 2 B a b} \right)}}{a^{2}}"," ",0,"-A/(a*x) + (-A*b + B*a)*log(x + (-A*a*b + B*a**2 - a*(-A*b + B*a))/(-2*A*b**2 + 2*B*a*b))/a**2 - (-A*b + B*a)*log(x + (-A*a*b + B*a**2 + a*(-A*b + B*a))/(-2*A*b**2 + 2*B*a*b))/a**2","B",0
181,1,131,0,0.562959," ","integrate((B*x+A)/x**3/(b*x+a),x)","\frac{- A a + x \left(2 A b - 2 B a\right)}{2 a^{2} x^{2}} - \frac{b \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{2} + B a^{2} b - a b \left(- A b + B a\right)}{- 2 A b^{3} + 2 B a b^{2}} \right)}}{a^{3}} + \frac{b \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{2} + B a^{2} b + a b \left(- A b + B a\right)}{- 2 A b^{3} + 2 B a b^{2}} \right)}}{a^{3}}"," ",0,"(-A*a + x*(2*A*b - 2*B*a))/(2*a**2*x**2) - b*(-A*b + B*a)*log(x + (-A*a*b**2 + B*a**2*b - a*b*(-A*b + B*a))/(-2*A*b**3 + 2*B*a*b**2))/a**3 + b*(-A*b + B*a)*log(x + (-A*a*b**2 + B*a**2*b + a*b*(-A*b + B*a))/(-2*A*b**3 + 2*B*a*b**2))/a**3","B",0
182,1,165,0,0.552165," ","integrate((B*x+A)/x**4/(b*x+a),x)","\frac{- 2 A a^{2} + x^{2} \left(- 6 A b^{2} + 6 B a b\right) + x \left(3 A a b - 3 B a^{2}\right)}{6 a^{3} x^{3}} + \frac{b^{2} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{3} + B a^{2} b^{2} - a b^{2} \left(- A b + B a\right)}{- 2 A b^{4} + 2 B a b^{3}} \right)}}{a^{4}} - \frac{b^{2} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{3} + B a^{2} b^{2} + a b^{2} \left(- A b + B a\right)}{- 2 A b^{4} + 2 B a b^{3}} \right)}}{a^{4}}"," ",0,"(-2*A*a**2 + x**2*(-6*A*b**2 + 6*B*a*b) + x*(3*A*a*b - 3*B*a**2))/(6*a**3*x**3) + b**2*(-A*b + B*a)*log(x + (-A*a*b**3 + B*a**2*b**2 - a*b**2*(-A*b + B*a))/(-2*A*b**4 + 2*B*a*b**3))/a**4 - b**2*(-A*b + B*a)*log(x + (-A*a*b**3 + B*a**2*b**2 + a*b**2*(-A*b + B*a))/(-2*A*b**4 + 2*B*a*b**3))/a**4","B",0
183,1,189,0,0.652759," ","integrate((B*x+A)/x**5/(b*x+a),x)","\frac{- 3 A a^{3} + x^{3} \left(12 A b^{3} - 12 B a b^{2}\right) + x^{2} \left(- 6 A a b^{2} + 6 B a^{2} b\right) + x \left(4 A a^{2} b - 4 B a^{3}\right)}{12 a^{4} x^{4}} - \frac{b^{3} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{4} + B a^{2} b^{3} - a b^{3} \left(- A b + B a\right)}{- 2 A b^{5} + 2 B a b^{4}} \right)}}{a^{5}} + \frac{b^{3} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{4} + B a^{2} b^{3} + a b^{3} \left(- A b + B a\right)}{- 2 A b^{5} + 2 B a b^{4}} \right)}}{a^{5}}"," ",0,"(-3*A*a**3 + x**3*(12*A*b**3 - 12*B*a*b**2) + x**2*(-6*A*a*b**2 + 6*B*a**2*b) + x*(4*A*a**2*b - 4*B*a**3))/(12*a**4*x**4) - b**3*(-A*b + B*a)*log(x + (-A*a*b**4 + B*a**2*b**3 - a*b**3*(-A*b + B*a))/(-2*A*b**5 + 2*B*a*b**4))/a**5 + b**3*(-A*b + B*a)*log(x + (-A*a*b**4 + B*a**2*b**3 + a*b**3*(-A*b + B*a))/(-2*A*b**5 + 2*B*a*b**4))/a**5","B",0
184,1,119,0,0.593195," ","integrate(x**4*(B*x+A)/(b*x+a)**2,x)","\frac{B x^{4}}{4 b^{2}} + \frac{a^{3} \left(- 4 A b + 5 B a\right) \log{\left(a + b x \right)}}{b^{6}} + x^{3} \left(\frac{A}{3 b^{2}} - \frac{2 B a}{3 b^{3}}\right) + x^{2} \left(- \frac{A a}{b^{3}} + \frac{3 B a^{2}}{2 b^{4}}\right) + x \left(\frac{3 A a^{2}}{b^{4}} - \frac{4 B a^{3}}{b^{5}}\right) + \frac{- A a^{4} b + B a^{5}}{a b^{6} + b^{7} x}"," ",0,"B*x**4/(4*b**2) + a**3*(-4*A*b + 5*B*a)*log(a + b*x)/b**6 + x**3*(A/(3*b**2) - 2*B*a/(3*b**3)) + x**2*(-A*a/b**3 + 3*B*a**2/(2*b**4)) + x*(3*A*a**2/b**4 - 4*B*a**3/b**5) + (-A*a**4*b + B*a**5)/(a*b**6 + b**7*x)","A",0
185,1,92,0,0.805328," ","integrate(x**3*(B*x+A)/(b*x+a)**2,x)","\frac{B x^{3}}{3 b^{2}} - \frac{a^{2} \left(- 3 A b + 4 B a\right) \log{\left(a + b x \right)}}{b^{5}} + x^{2} \left(\frac{A}{2 b^{2}} - \frac{B a}{b^{3}}\right) + x \left(- \frac{2 A a}{b^{3}} + \frac{3 B a^{2}}{b^{4}}\right) + \frac{A a^{3} b - B a^{4}}{a b^{5} + b^{6} x}"," ",0,"B*x**3/(3*b**2) - a**2*(-3*A*b + 4*B*a)*log(a + b*x)/b**5 + x**2*(A/(2*b**2) - B*a/b**3) + x*(-2*A*a/b**3 + 3*B*a**2/b**4) + (A*a**3*b - B*a**4)/(a*b**5 + b**6*x)","A",0
186,1,68,0,0.419012," ","integrate(x**2*(B*x+A)/(b*x+a)**2,x)","\frac{B x^{2}}{2 b^{2}} + \frac{a \left(- 2 A b + 3 B a\right) \log{\left(a + b x \right)}}{b^{4}} + x \left(\frac{A}{b^{2}} - \frac{2 B a}{b^{3}}\right) + \frac{- A a^{2} b + B a^{3}}{a b^{4} + b^{5} x}"," ",0,"B*x**2/(2*b**2) + a*(-2*A*b + 3*B*a)*log(a + b*x)/b**4 + x*(A/b**2 - 2*B*a/b**3) + (-A*a**2*b + B*a**3)/(a*b**4 + b**5*x)","A",0
187,1,44,0,0.486630," ","integrate(x*(B*x+A)/(b*x+a)**2,x)","\frac{B x}{b^{2}} + \frac{A a b - B a^{2}}{a b^{3} + b^{4} x} - \frac{\left(- A b + 2 B a\right) \log{\left(a + b x \right)}}{b^{3}}"," ",0,"B*x/b**2 + (A*a*b - B*a**2)/(a*b**3 + b**4*x) - (-A*b + 2*B*a)*log(a + b*x)/b**3","A",0
188,1,27,0,0.241498," ","integrate((B*x+A)/(b*x+a)**2,x)","\frac{B \log{\left(a + b x \right)}}{b^{2}} + \frac{- A b + B a}{a b^{2} + b^{3} x}"," ",0,"B*log(a + b*x)/b**2 + (-A*b + B*a)/(a*b**2 + b**3*x)","A",0
189,1,32,0,0.715219," ","integrate((B*x+A)/x/(b*x+a)**2,x)","\frac{A \left(\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}\right)}{a^{2}} + \frac{A b - B a}{a^{2} b + a b^{2} x}"," ",0,"A*(log(x) - log(a/b + x))/a**2 + (A*b - B*a)/(a**2*b + a*b**2*x)","A",0
190,1,128,0,0.730747," ","integrate((B*x+A)/x**2/(b*x+a)**2,x)","\frac{- A a + x \left(- 2 A b + B a\right)}{a^{3} x + a^{2} b x^{2}} + \frac{\left(- 2 A b + B a\right) \log{\left(x + \frac{- 2 A a b + B a^{2} - a \left(- 2 A b + B a\right)}{- 4 A b^{2} + 2 B a b} \right)}}{a^{3}} - \frac{\left(- 2 A b + B a\right) \log{\left(x + \frac{- 2 A a b + B a^{2} + a \left(- 2 A b + B a\right)}{- 4 A b^{2} + 2 B a b} \right)}}{a^{3}}"," ",0,"(-A*a + x*(-2*A*b + B*a))/(a**3*x + a**2*b*x**2) + (-2*A*b + B*a)*log(x + (-2*A*a*b + B*a**2 - a*(-2*A*b + B*a))/(-4*A*b**2 + 2*B*a*b))/a**3 - (-2*A*b + B*a)*log(x + (-2*A*a*b + B*a**2 + a*(-2*A*b + B*a))/(-4*A*b**2 + 2*B*a*b))/a**3","B",0
191,1,184,0,0.832522," ","integrate((B*x+A)/x**3/(b*x+a)**2,x)","\frac{- A a^{2} + x^{2} \left(6 A b^{2} - 4 B a b\right) + x \left(3 A a b - 2 B a^{2}\right)}{2 a^{4} x^{2} + 2 a^{3} b x^{3}} - \frac{b \left(- 3 A b + 2 B a\right) \log{\left(x + \frac{- 3 A a b^{2} + 2 B a^{2} b - a b \left(- 3 A b + 2 B a\right)}{- 6 A b^{3} + 4 B a b^{2}} \right)}}{a^{4}} + \frac{b \left(- 3 A b + 2 B a\right) \log{\left(x + \frac{- 3 A a b^{2} + 2 B a^{2} b + a b \left(- 3 A b + 2 B a\right)}{- 6 A b^{3} + 4 B a b^{2}} \right)}}{a^{4}}"," ",0,"(-A*a**2 + x**2*(6*A*b**2 - 4*B*a*b) + x*(3*A*a*b - 2*B*a**2))/(2*a**4*x**2 + 2*a**3*b*x**3) - b*(-3*A*b + 2*B*a)*log(x + (-3*A*a*b**2 + 2*B*a**2*b - a*b*(-3*A*b + 2*B*a))/(-6*A*b**3 + 4*B*a*b**2))/a**4 + b*(-3*A*b + 2*B*a)*log(x + (-3*A*a*b**2 + 2*B*a**2*b + a*b*(-3*A*b + 2*B*a))/(-6*A*b**3 + 4*B*a*b**2))/a**4","B",0
192,1,219,0,0.842992," ","integrate((B*x+A)/x**4/(b*x+a)**2,x)","\frac{- 2 A a^{3} + x^{3} \left(- 24 A b^{3} + 18 B a b^{2}\right) + x^{2} \left(- 12 A a b^{2} + 9 B a^{2} b\right) + x \left(4 A a^{2} b - 3 B a^{3}\right)}{6 a^{5} x^{3} + 6 a^{4} b x^{4}} + \frac{b^{2} \left(- 4 A b + 3 B a\right) \log{\left(x + \frac{- 4 A a b^{3} + 3 B a^{2} b^{2} - a b^{2} \left(- 4 A b + 3 B a\right)}{- 8 A b^{4} + 6 B a b^{3}} \right)}}{a^{5}} - \frac{b^{2} \left(- 4 A b + 3 B a\right) \log{\left(x + \frac{- 4 A a b^{3} + 3 B a^{2} b^{2} + a b^{2} \left(- 4 A b + 3 B a\right)}{- 8 A b^{4} + 6 B a b^{3}} \right)}}{a^{5}}"," ",0,"(-2*A*a**3 + x**3*(-24*A*b**3 + 18*B*a*b**2) + x**2*(-12*A*a*b**2 + 9*B*a**2*b) + x*(4*A*a**2*b - 3*B*a**3))/(6*a**5*x**3 + 6*a**4*b*x**4) + b**2*(-4*A*b + 3*B*a)*log(x + (-4*A*a*b**3 + 3*B*a**2*b**2 - a*b**2*(-4*A*b + 3*B*a))/(-8*A*b**4 + 6*B*a*b**3))/a**5 - b**2*(-4*A*b + 3*B*a)*log(x + (-4*A*a*b**3 + 3*B*a**2*b**2 + a*b**2*(-4*A*b + 3*B*a))/(-8*A*b**4 + 6*B*a*b**3))/a**5","B",0
193,1,136,0,0.902752," ","integrate(x**4*(B*x+A)/(b*x+a)**3,x)","\frac{B x^{3}}{3 b^{3}} - \frac{2 a^{2} \left(- 3 A b + 5 B a\right) \log{\left(a + b x \right)}}{b^{6}} + x^{2} \left(\frac{A}{2 b^{3}} - \frac{3 B a}{2 b^{4}}\right) + x \left(- \frac{3 A a}{b^{4}} + \frac{6 B a^{2}}{b^{5}}\right) + \frac{7 A a^{4} b - 9 B a^{5} + x \left(8 A a^{3} b^{2} - 10 B a^{4} b\right)}{2 a^{2} b^{6} + 4 a b^{7} x + 2 b^{8} x^{2}}"," ",0,"B*x**3/(3*b**3) - 2*a**2*(-3*A*b + 5*B*a)*log(a + b*x)/b**6 + x**2*(A/(2*b**3) - 3*B*a/(2*b**4)) + x*(-3*A*a/b**4 + 6*B*a**2/b**5) + (7*A*a**4*b - 9*B*a**5 + x*(8*A*a**3*b**2 - 10*B*a**4*b))/(2*a**2*b**6 + 4*a*b**7*x + 2*b**8*x**2)","A",0
194,1,107,0,1.235098," ","integrate(x**3*(B*x+A)/(b*x+a)**3,x)","\frac{B x^{2}}{2 b^{3}} + \frac{3 a \left(- A b + 2 B a\right) \log{\left(a + b x \right)}}{b^{5}} + x \left(\frac{A}{b^{3}} - \frac{3 B a}{b^{4}}\right) + \frac{- 5 A a^{3} b + 7 B a^{4} + x \left(- 6 A a^{2} b^{2} + 8 B a^{3} b\right)}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}}"," ",0,"B*x**2/(2*b**3) + 3*a*(-A*b + 2*B*a)*log(a + b*x)/b**5 + x*(A/b**3 - 3*B*a/b**4) + (-5*A*a**3*b + 7*B*a**4 + x*(-6*A*a**2*b**2 + 8*B*a**3*b))/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2)","A",0
195,1,83,0,0.608499," ","integrate(x**2*(B*x+A)/(b*x+a)**3,x)","\frac{B x}{b^{3}} + \frac{3 A a^{2} b - 5 B a^{3} + x \left(4 A a b^{2} - 6 B a^{2} b\right)}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{\left(- A b + 3 B a\right) \log{\left(a + b x \right)}}{b^{4}}"," ",0,"B*x/b**3 + (3*A*a**2*b - 5*B*a**3 + x*(4*A*a*b**2 - 6*B*a**2*b))/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - (-A*b + 3*B*a)*log(a + b*x)/b**4","A",0
196,1,63,0,0.404196," ","integrate(x*(B*x+A)/(b*x+a)**3,x)","\frac{B \log{\left(a + b x \right)}}{b^{3}} + \frac{- A a b + 3 B a^{2} + x \left(- 2 A b^{2} + 4 B a b\right)}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}}"," ",0,"B*log(a + b*x)/b**3 + (-A*a*b + 3*B*a**2 + x*(-2*A*b**2 + 4*B*a*b))/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2)","A",0
197,1,39,0,0.427593," ","integrate((B*x+A)/(b*x+a)**3,x)","\frac{- A b - B a - 2 B b x}{2 a^{2} b^{2} + 4 a b^{3} x + 2 b^{4} x^{2}}"," ",0,"(-A*b - B*a - 2*B*b*x)/(2*a**2*b**2 + 4*a*b**3*x + 2*b**4*x**2)","A",0
198,1,63,0,0.578462," ","integrate((B*x+A)/x/(b*x+a)**3,x)","\frac{A \left(\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}\right)}{a^{3}} + \frac{3 A a b + 2 A b^{2} x - B a^{2}}{2 a^{4} b + 4 a^{3} b^{2} x + 2 a^{2} b^{3} x^{2}}"," ",0,"A*(log(x) - log(a/b + x))/a**3 + (3*A*a*b + 2*A*b**2*x - B*a**2)/(2*a**4*b + 4*a**3*b**2*x + 2*a**2*b**3*x**2)","A",0
199,1,168,0,1.254569," ","integrate((B*x+A)/x**2/(b*x+a)**3,x)","\frac{- 2 A a^{2} + x^{2} \left(- 6 A b^{2} + 2 B a b\right) + x \left(- 9 A a b + 3 B a^{2}\right)}{2 a^{5} x + 4 a^{4} b x^{2} + 2 a^{3} b^{2} x^{3}} + \frac{\left(- 3 A b + B a\right) \log{\left(x + \frac{- 3 A a b + B a^{2} - a \left(- 3 A b + B a\right)}{- 6 A b^{2} + 2 B a b} \right)}}{a^{4}} - \frac{\left(- 3 A b + B a\right) \log{\left(x + \frac{- 3 A a b + B a^{2} + a \left(- 3 A b + B a\right)}{- 6 A b^{2} + 2 B a b} \right)}}{a^{4}}"," ",0,"(-2*A*a**2 + x**2*(-6*A*b**2 + 2*B*a*b) + x*(-9*A*a*b + 3*B*a**2))/(2*a**5*x + 4*a**4*b*x**2 + 2*a**3*b**2*x**3) + (-3*A*b + B*a)*log(x + (-3*A*a*b + B*a**2 - a*(-3*A*b + B*a))/(-6*A*b**2 + 2*B*a*b))/a**4 - (-3*A*b + B*a)*log(x + (-3*A*a*b + B*a**2 + a*(-3*A*b + B*a))/(-6*A*b**2 + 2*B*a*b))/a**4","B",0
200,1,219,0,0.786596," ","integrate((B*x+A)/x**3/(b*x+a)**3,x)","\frac{- A a^{3} + x^{3} \left(12 A b^{3} - 6 B a b^{2}\right) + x^{2} \left(18 A a b^{2} - 9 B a^{2} b\right) + x \left(4 A a^{2} b - 2 B a^{3}\right)}{2 a^{6} x^{2} + 4 a^{5} b x^{3} + 2 a^{4} b^{2} x^{4}} - \frac{3 b \left(- 2 A b + B a\right) \log{\left(x + \frac{- 6 A a b^{2} + 3 B a^{2} b - 3 a b \left(- 2 A b + B a\right)}{- 12 A b^{3} + 6 B a b^{2}} \right)}}{a^{5}} + \frac{3 b \left(- 2 A b + B a\right) \log{\left(x + \frac{- 6 A a b^{2} + 3 B a^{2} b + 3 a b \left(- 2 A b + B a\right)}{- 12 A b^{3} + 6 B a b^{2}} \right)}}{a^{5}}"," ",0,"(-A*a**3 + x**3*(12*A*b**3 - 6*B*a*b**2) + x**2*(18*A*a*b**2 - 9*B*a**2*b) + x*(4*A*a**2*b - 2*B*a**3))/(2*a**6*x**2 + 4*a**5*b*x**3 + 2*a**4*b**2*x**4) - 3*b*(-2*A*b + B*a)*log(x + (-6*A*a*b**2 + 3*B*a**2*b - 3*a*b*(-2*A*b + B*a))/(-12*A*b**3 + 6*B*a*b**2))/a**5 + 3*b*(-2*A*b + B*a)*log(x + (-6*A*a*b**2 + 3*B*a**2*b + 3*a*b*(-2*A*b + B*a))/(-12*A*b**3 + 6*B*a*b**2))/a**5","B",0
201,1,262,0,1.305721," ","integrate((B*x+A)/x**4/(b*x+a)**3,x)","\frac{- 2 A a^{4} + x^{4} \left(- 60 A b^{4} + 36 B a b^{3}\right) + x^{3} \left(- 90 A a b^{3} + 54 B a^{2} b^{2}\right) + x^{2} \left(- 20 A a^{2} b^{2} + 12 B a^{3} b\right) + x \left(5 A a^{3} b - 3 B a^{4}\right)}{6 a^{7} x^{3} + 12 a^{6} b x^{4} + 6 a^{5} b^{2} x^{5}} + \frac{2 b^{2} \left(- 5 A b + 3 B a\right) \log{\left(x + \frac{- 10 A a b^{3} + 6 B a^{2} b^{2} - 2 a b^{2} \left(- 5 A b + 3 B a\right)}{- 20 A b^{4} + 12 B a b^{3}} \right)}}{a^{6}} - \frac{2 b^{2} \left(- 5 A b + 3 B a\right) \log{\left(x + \frac{- 10 A a b^{3} + 6 B a^{2} b^{2} + 2 a b^{2} \left(- 5 A b + 3 B a\right)}{- 20 A b^{4} + 12 B a b^{3}} \right)}}{a^{6}}"," ",0,"(-2*A*a**4 + x**4*(-60*A*b**4 + 36*B*a*b**3) + x**3*(-90*A*a*b**3 + 54*B*a**2*b**2) + x**2*(-20*A*a**2*b**2 + 12*B*a**3*b) + x*(5*A*a**3*b - 3*B*a**4))/(6*a**7*x**3 + 12*a**6*b*x**4 + 6*a**5*b**2*x**5) + 2*b**2*(-5*A*b + 3*B*a)*log(x + (-10*A*a*b**3 + 6*B*a**2*b**2 - 2*a*b**2*(-5*A*b + 3*B*a))/(-20*A*b**4 + 12*B*a*b**3))/a**6 - 2*b**2*(-5*A*b + 3*B*a)*log(x + (-10*A*a*b**3 + 6*B*a**2*b**2 + 2*a*b**2*(-5*A*b + 3*B*a))/(-20*A*b**4 + 12*B*a*b**3))/a**6","A",0
202,1,697,0,0.369654," ","integrate(x**3*(b*x+a)**2*(d*x+c)**16,x)","\frac{a^{2} c^{16} x^{4}}{4} + \frac{b^{2} d^{16} x^{22}}{22} + x^{21} \left(\frac{2 a b d^{16}}{21} + \frac{16 b^{2} c d^{15}}{21}\right) + x^{20} \left(\frac{a^{2} d^{16}}{20} + \frac{8 a b c d^{15}}{5} + 6 b^{2} c^{2} d^{14}\right) + x^{19} \left(\frac{16 a^{2} c d^{15}}{19} + \frac{240 a b c^{2} d^{14}}{19} + \frac{560 b^{2} c^{3} d^{13}}{19}\right) + x^{18} \left(\frac{20 a^{2} c^{2} d^{14}}{3} + \frac{560 a b c^{3} d^{13}}{9} + \frac{910 b^{2} c^{4} d^{12}}{9}\right) + x^{17} \left(\frac{560 a^{2} c^{3} d^{13}}{17} + \frac{3640 a b c^{4} d^{12}}{17} + \frac{4368 b^{2} c^{5} d^{11}}{17}\right) + x^{16} \left(\frac{455 a^{2} c^{4} d^{12}}{4} + 546 a b c^{5} d^{11} + \frac{1001 b^{2} c^{6} d^{10}}{2}\right) + x^{15} \left(\frac{1456 a^{2} c^{5} d^{11}}{5} + \frac{16016 a b c^{6} d^{10}}{15} + \frac{2288 b^{2} c^{7} d^{9}}{3}\right) + x^{14} \left(572 a^{2} c^{6} d^{10} + \frac{11440 a b c^{7} d^{9}}{7} + \frac{6435 b^{2} c^{8} d^{8}}{7}\right) + x^{13} \left(880 a^{2} c^{7} d^{9} + 1980 a b c^{8} d^{8} + 880 b^{2} c^{9} d^{7}\right) + x^{12} \left(\frac{2145 a^{2} c^{8} d^{8}}{2} + \frac{5720 a b c^{9} d^{7}}{3} + \frac{2002 b^{2} c^{10} d^{6}}{3}\right) + x^{11} \left(1040 a^{2} c^{9} d^{7} + 1456 a b c^{10} d^{6} + \frac{4368 b^{2} c^{11} d^{5}}{11}\right) + x^{10} \left(\frac{4004 a^{2} c^{10} d^{6}}{5} + \frac{4368 a b c^{11} d^{5}}{5} + 182 b^{2} c^{12} d^{4}\right) + x^{9} \left(\frac{1456 a^{2} c^{11} d^{5}}{3} + \frac{3640 a b c^{12} d^{4}}{9} + \frac{560 b^{2} c^{13} d^{3}}{9}\right) + x^{8} \left(\frac{455 a^{2} c^{12} d^{4}}{2} + 140 a b c^{13} d^{3} + 15 b^{2} c^{14} d^{2}\right) + x^{7} \left(80 a^{2} c^{13} d^{3} + \frac{240 a b c^{14} d^{2}}{7} + \frac{16 b^{2} c^{15} d}{7}\right) + x^{6} \left(20 a^{2} c^{14} d^{2} + \frac{16 a b c^{15} d}{3} + \frac{b^{2} c^{16}}{6}\right) + x^{5} \left(\frac{16 a^{2} c^{15} d}{5} + \frac{2 a b c^{16}}{5}\right)"," ",0,"a**2*c**16*x**4/4 + b**2*d**16*x**22/22 + x**21*(2*a*b*d**16/21 + 16*b**2*c*d**15/21) + x**20*(a**2*d**16/20 + 8*a*b*c*d**15/5 + 6*b**2*c**2*d**14) + x**19*(16*a**2*c*d**15/19 + 240*a*b*c**2*d**14/19 + 560*b**2*c**3*d**13/19) + x**18*(20*a**2*c**2*d**14/3 + 560*a*b*c**3*d**13/9 + 910*b**2*c**4*d**12/9) + x**17*(560*a**2*c**3*d**13/17 + 3640*a*b*c**4*d**12/17 + 4368*b**2*c**5*d**11/17) + x**16*(455*a**2*c**4*d**12/4 + 546*a*b*c**5*d**11 + 1001*b**2*c**6*d**10/2) + x**15*(1456*a**2*c**5*d**11/5 + 16016*a*b*c**6*d**10/15 + 2288*b**2*c**7*d**9/3) + x**14*(572*a**2*c**6*d**10 + 11440*a*b*c**7*d**9/7 + 6435*b**2*c**8*d**8/7) + x**13*(880*a**2*c**7*d**9 + 1980*a*b*c**8*d**8 + 880*b**2*c**9*d**7) + x**12*(2145*a**2*c**8*d**8/2 + 5720*a*b*c**9*d**7/3 + 2002*b**2*c**10*d**6/3) + x**11*(1040*a**2*c**9*d**7 + 1456*a*b*c**10*d**6 + 4368*b**2*c**11*d**5/11) + x**10*(4004*a**2*c**10*d**6/5 + 4368*a*b*c**11*d**5/5 + 182*b**2*c**12*d**4) + x**9*(1456*a**2*c**11*d**5/3 + 3640*a*b*c**12*d**4/9 + 560*b**2*c**13*d**3/9) + x**8*(455*a**2*c**12*d**4/2 + 140*a*b*c**13*d**3 + 15*b**2*c**14*d**2) + x**7*(80*a**2*c**13*d**3 + 240*a*b*c**14*d**2/7 + 16*b**2*c**15*d/7) + x**6*(20*a**2*c**14*d**2 + 16*a*b*c**15*d/3 + b**2*c**16/6) + x**5*(16*a**2*c**15*d/5 + 2*a*b*c**16/5)","B",0
203,1,682,0,0.232147," ","integrate(x**2*(b*x+a)**2*(d*x+c)**16,x)","\frac{a^{2} c^{16} x^{3}}{3} + \frac{b^{2} d^{16} x^{21}}{21} + x^{20} \left(\frac{a b d^{16}}{10} + \frac{4 b^{2} c d^{15}}{5}\right) + x^{19} \left(\frac{a^{2} d^{16}}{19} + \frac{32 a b c d^{15}}{19} + \frac{120 b^{2} c^{2} d^{14}}{19}\right) + x^{18} \left(\frac{8 a^{2} c d^{15}}{9} + \frac{40 a b c^{2} d^{14}}{3} + \frac{280 b^{2} c^{3} d^{13}}{9}\right) + x^{17} \left(\frac{120 a^{2} c^{2} d^{14}}{17} + \frac{1120 a b c^{3} d^{13}}{17} + \frac{1820 b^{2} c^{4} d^{12}}{17}\right) + x^{16} \left(35 a^{2} c^{3} d^{13} + \frac{455 a b c^{4} d^{12}}{2} + 273 b^{2} c^{5} d^{11}\right) + x^{15} \left(\frac{364 a^{2} c^{4} d^{12}}{3} + \frac{2912 a b c^{5} d^{11}}{5} + \frac{8008 b^{2} c^{6} d^{10}}{15}\right) + x^{14} \left(312 a^{2} c^{5} d^{11} + 1144 a b c^{6} d^{10} + \frac{5720 b^{2} c^{7} d^{9}}{7}\right) + x^{13} \left(616 a^{2} c^{6} d^{10} + 1760 a b c^{7} d^{9} + 990 b^{2} c^{8} d^{8}\right) + x^{12} \left(\frac{2860 a^{2} c^{7} d^{9}}{3} + 2145 a b c^{8} d^{8} + \frac{2860 b^{2} c^{9} d^{7}}{3}\right) + x^{11} \left(1170 a^{2} c^{8} d^{8} + 2080 a b c^{9} d^{7} + 728 b^{2} c^{10} d^{6}\right) + x^{10} \left(1144 a^{2} c^{9} d^{7} + \frac{8008 a b c^{10} d^{6}}{5} + \frac{2184 b^{2} c^{11} d^{5}}{5}\right) + x^{9} \left(\frac{8008 a^{2} c^{10} d^{6}}{9} + \frac{2912 a b c^{11} d^{5}}{3} + \frac{1820 b^{2} c^{12} d^{4}}{9}\right) + x^{8} \left(546 a^{2} c^{11} d^{5} + 455 a b c^{12} d^{4} + 70 b^{2} c^{13} d^{3}\right) + x^{7} \left(260 a^{2} c^{12} d^{4} + 160 a b c^{13} d^{3} + \frac{120 b^{2} c^{14} d^{2}}{7}\right) + x^{6} \left(\frac{280 a^{2} c^{13} d^{3}}{3} + 40 a b c^{14} d^{2} + \frac{8 b^{2} c^{15} d}{3}\right) + x^{5} \left(24 a^{2} c^{14} d^{2} + \frac{32 a b c^{15} d}{5} + \frac{b^{2} c^{16}}{5}\right) + x^{4} \left(4 a^{2} c^{15} d + \frac{a b c^{16}}{2}\right)"," ",0,"a**2*c**16*x**3/3 + b**2*d**16*x**21/21 + x**20*(a*b*d**16/10 + 4*b**2*c*d**15/5) + x**19*(a**2*d**16/19 + 32*a*b*c*d**15/19 + 120*b**2*c**2*d**14/19) + x**18*(8*a**2*c*d**15/9 + 40*a*b*c**2*d**14/3 + 280*b**2*c**3*d**13/9) + x**17*(120*a**2*c**2*d**14/17 + 1120*a*b*c**3*d**13/17 + 1820*b**2*c**4*d**12/17) + x**16*(35*a**2*c**3*d**13 + 455*a*b*c**4*d**12/2 + 273*b**2*c**5*d**11) + x**15*(364*a**2*c**4*d**12/3 + 2912*a*b*c**5*d**11/5 + 8008*b**2*c**6*d**10/15) + x**14*(312*a**2*c**5*d**11 + 1144*a*b*c**6*d**10 + 5720*b**2*c**7*d**9/7) + x**13*(616*a**2*c**6*d**10 + 1760*a*b*c**7*d**9 + 990*b**2*c**8*d**8) + x**12*(2860*a**2*c**7*d**9/3 + 2145*a*b*c**8*d**8 + 2860*b**2*c**9*d**7/3) + x**11*(1170*a**2*c**8*d**8 + 2080*a*b*c**9*d**7 + 728*b**2*c**10*d**6) + x**10*(1144*a**2*c**9*d**7 + 8008*a*b*c**10*d**6/5 + 2184*b**2*c**11*d**5/5) + x**9*(8008*a**2*c**10*d**6/9 + 2912*a*b*c**11*d**5/3 + 1820*b**2*c**12*d**4/9) + x**8*(546*a**2*c**11*d**5 + 455*a*b*c**12*d**4 + 70*b**2*c**13*d**3) + x**7*(260*a**2*c**12*d**4 + 160*a*b*c**13*d**3 + 120*b**2*c**14*d**2/7) + x**6*(280*a**2*c**13*d**3/3 + 40*a*b*c**14*d**2 + 8*b**2*c**15*d/3) + x**5*(24*a**2*c**14*d**2 + 32*a*b*c**15*d/5 + b**2*c**16/5) + x**4*(4*a**2*c**15*d + a*b*c**16/2)","B",0
204,1,682,0,0.626242," ","integrate(x*(b*x+a)**2*(d*x+c)**16,x)","\frac{a^{2} c^{16} x^{2}}{2} + \frac{b^{2} d^{16} x^{20}}{20} + x^{19} \left(\frac{2 a b d^{16}}{19} + \frac{16 b^{2} c d^{15}}{19}\right) + x^{18} \left(\frac{a^{2} d^{16}}{18} + \frac{16 a b c d^{15}}{9} + \frac{20 b^{2} c^{2} d^{14}}{3}\right) + x^{17} \left(\frac{16 a^{2} c d^{15}}{17} + \frac{240 a b c^{2} d^{14}}{17} + \frac{560 b^{2} c^{3} d^{13}}{17}\right) + x^{16} \left(\frac{15 a^{2} c^{2} d^{14}}{2} + 70 a b c^{3} d^{13} + \frac{455 b^{2} c^{4} d^{12}}{4}\right) + x^{15} \left(\frac{112 a^{2} c^{3} d^{13}}{3} + \frac{728 a b c^{4} d^{12}}{3} + \frac{1456 b^{2} c^{5} d^{11}}{5}\right) + x^{14} \left(130 a^{2} c^{4} d^{12} + 624 a b c^{5} d^{11} + 572 b^{2} c^{6} d^{10}\right) + x^{13} \left(336 a^{2} c^{5} d^{11} + 1232 a b c^{6} d^{10} + 880 b^{2} c^{7} d^{9}\right) + x^{12} \left(\frac{2002 a^{2} c^{6} d^{10}}{3} + \frac{5720 a b c^{7} d^{9}}{3} + \frac{2145 b^{2} c^{8} d^{8}}{2}\right) + x^{11} \left(1040 a^{2} c^{7} d^{9} + 2340 a b c^{8} d^{8} + 1040 b^{2} c^{9} d^{7}\right) + x^{10} \left(1287 a^{2} c^{8} d^{8} + 2288 a b c^{9} d^{7} + \frac{4004 b^{2} c^{10} d^{6}}{5}\right) + x^{9} \left(\frac{11440 a^{2} c^{9} d^{7}}{9} + \frac{16016 a b c^{10} d^{6}}{9} + \frac{1456 b^{2} c^{11} d^{5}}{3}\right) + x^{8} \left(1001 a^{2} c^{10} d^{6} + 1092 a b c^{11} d^{5} + \frac{455 b^{2} c^{12} d^{4}}{2}\right) + x^{7} \left(624 a^{2} c^{11} d^{5} + 520 a b c^{12} d^{4} + 80 b^{2} c^{13} d^{3}\right) + x^{6} \left(\frac{910 a^{2} c^{12} d^{4}}{3} + \frac{560 a b c^{13} d^{3}}{3} + 20 b^{2} c^{14} d^{2}\right) + x^{5} \left(112 a^{2} c^{13} d^{3} + 48 a b c^{14} d^{2} + \frac{16 b^{2} c^{15} d}{5}\right) + x^{4} \left(30 a^{2} c^{14} d^{2} + 8 a b c^{15} d + \frac{b^{2} c^{16}}{4}\right) + x^{3} \left(\frac{16 a^{2} c^{15} d}{3} + \frac{2 a b c^{16}}{3}\right)"," ",0,"a**2*c**16*x**2/2 + b**2*d**16*x**20/20 + x**19*(2*a*b*d**16/19 + 16*b**2*c*d**15/19) + x**18*(a**2*d**16/18 + 16*a*b*c*d**15/9 + 20*b**2*c**2*d**14/3) + x**17*(16*a**2*c*d**15/17 + 240*a*b*c**2*d**14/17 + 560*b**2*c**3*d**13/17) + x**16*(15*a**2*c**2*d**14/2 + 70*a*b*c**3*d**13 + 455*b**2*c**4*d**12/4) + x**15*(112*a**2*c**3*d**13/3 + 728*a*b*c**4*d**12/3 + 1456*b**2*c**5*d**11/5) + x**14*(130*a**2*c**4*d**12 + 624*a*b*c**5*d**11 + 572*b**2*c**6*d**10) + x**13*(336*a**2*c**5*d**11 + 1232*a*b*c**6*d**10 + 880*b**2*c**7*d**9) + x**12*(2002*a**2*c**6*d**10/3 + 5720*a*b*c**7*d**9/3 + 2145*b**2*c**8*d**8/2) + x**11*(1040*a**2*c**7*d**9 + 2340*a*b*c**8*d**8 + 1040*b**2*c**9*d**7) + x**10*(1287*a**2*c**8*d**8 + 2288*a*b*c**9*d**7 + 4004*b**2*c**10*d**6/5) + x**9*(11440*a**2*c**9*d**7/9 + 16016*a*b*c**10*d**6/9 + 1456*b**2*c**11*d**5/3) + x**8*(1001*a**2*c**10*d**6 + 1092*a*b*c**11*d**5 + 455*b**2*c**12*d**4/2) + x**7*(624*a**2*c**11*d**5 + 520*a*b*c**12*d**4 + 80*b**2*c**13*d**3) + x**6*(910*a**2*c**12*d**4/3 + 560*a*b*c**13*d**3/3 + 20*b**2*c**14*d**2) + x**5*(112*a**2*c**13*d**3 + 48*a*b*c**14*d**2 + 16*b**2*c**15*d/5) + x**4*(30*a**2*c**14*d**2 + 8*a*b*c**15*d + b**2*c**16/4) + x**3*(16*a**2*c**15*d/3 + 2*a*b*c**16/3)","B",0
205,1,85,0,0.739697," ","integrate(x**3*(d*x+c)/(b*x+a),x)","\frac{a^{3} \left(a d - b c\right) \log{\left(a + b x \right)}}{b^{5}} + x^{3} \left(- \frac{a d}{3 b^{2}} + \frac{c}{3 b}\right) + x^{2} \left(\frac{a^{2} d}{2 b^{3}} - \frac{a c}{2 b^{2}}\right) + x \left(- \frac{a^{3} d}{b^{4}} + \frac{a^{2} c}{b^{3}}\right) + \frac{d x^{4}}{4 b}"," ",0,"a**3*(a*d - b*c)*log(a + b*x)/b**5 + x**3*(-a*d/(3*b**2) + c/(3*b)) + x**2*(a**2*d/(2*b**3) - a*c/(2*b**2)) + x*(-a**3*d/b**4 + a**2*c/b**3) + d*x**4/(4*b)","A",0
206,1,61,0,0.370427," ","integrate(x**2*(d*x+c)/(b*x+a),x)","- \frac{a^{2} \left(a d - b c\right) \log{\left(a + b x \right)}}{b^{4}} + x^{2} \left(- \frac{a d}{2 b^{2}} + \frac{c}{2 b}\right) + x \left(\frac{a^{2} d}{b^{3}} - \frac{a c}{b^{2}}\right) + \frac{d x^{3}}{3 b}"," ",0,"-a**2*(a*d - b*c)*log(a + b*x)/b**4 + x**2*(-a*d/(2*b**2) + c/(2*b)) + x*(a**2*d/b**3 - a*c/b**2) + d*x**3/(3*b)","A",0
207,1,37,0,0.283898," ","integrate(x*(d*x+c)/(b*x+a),x)","\frac{a \left(a d - b c\right) \log{\left(a + b x \right)}}{b^{3}} + x \left(- \frac{a d}{b^{2}} + \frac{c}{b}\right) + \frac{d x^{2}}{2 b}"," ",0,"a*(a*d - b*c)*log(a + b*x)/b**3 + x*(-a*d/b**2 + c/b) + d*x**2/(2*b)","A",0
208,1,20,0,0.169696," ","integrate((d*x+c)/(b*x+a),x)","\frac{d x}{b} - \frac{\left(a d - b c\right) \log{\left(a + b x \right)}}{b^{2}}"," ",0,"d*x/b - (a*d - b*c)*log(a + b*x)/b**2","A",0
209,1,41,0,0.470466," ","integrate((d*x+c)/x/(b*x+a),x)","\frac{c \log{\left(x \right)}}{a} + \frac{\left(a d - b c\right) \log{\left(x + \frac{- a c + \frac{a \left(a d - b c\right)}{b}}{a d - 2 b c} \right)}}{a b}"," ",0,"c*log(x)/a + (a*d - b*c)*log(x + (-a*c + a*(a*d - b*c)/b)/(a*d - 2*b*c))/(a*b)","A",0
210,1,95,0,0.387578," ","integrate((d*x+c)/x**2/(b*x+a),x)","- \frac{c}{a x} + \frac{\left(a d - b c\right) \log{\left(x + \frac{a^{2} d - a b c - a \left(a d - b c\right)}{2 a b d - 2 b^{2} c} \right)}}{a^{2}} - \frac{\left(a d - b c\right) \log{\left(x + \frac{a^{2} d - a b c + a \left(a d - b c\right)}{2 a b d - 2 b^{2} c} \right)}}{a^{2}}"," ",0,"-c/(a*x) + (a*d - b*c)*log(x + (a**2*d - a*b*c - a*(a*d - b*c))/(2*a*b*d - 2*b**2*c))/a**2 - (a*d - b*c)*log(x + (a**2*d - a*b*c + a*(a*d - b*c))/(2*a*b*d - 2*b**2*c))/a**2","B",0
211,1,131,0,0.489924," ","integrate((d*x+c)/x**3/(b*x+a),x)","\frac{- a c + x \left(- 2 a d + 2 b c\right)}{2 a^{2} x^{2}} - \frac{b \left(a d - b c\right) \log{\left(x + \frac{a^{2} b d - a b^{2} c - a b \left(a d - b c\right)}{2 a b^{2} d - 2 b^{3} c} \right)}}{a^{3}} + \frac{b \left(a d - b c\right) \log{\left(x + \frac{a^{2} b d - a b^{2} c + a b \left(a d - b c\right)}{2 a b^{2} d - 2 b^{3} c} \right)}}{a^{3}}"," ",0,"(-a*c + x*(-2*a*d + 2*b*c))/(2*a**2*x**2) - b*(a*d - b*c)*log(x + (a**2*b*d - a*b**2*c - a*b*(a*d - b*c))/(2*a*b**2*d - 2*b**3*c))/a**3 + b*(a*d - b*c)*log(x + (a**2*b*d - a*b**2*c + a*b*(a*d - b*c))/(2*a*b**2*d - 2*b**3*c))/a**3","B",0
212,1,165,0,0.597900," ","integrate((d*x+c)/x**4/(b*x+a),x)","\frac{- 2 a^{2} c + x^{2} \left(6 a b d - 6 b^{2} c\right) + x \left(- 3 a^{2} d + 3 a b c\right)}{6 a^{3} x^{3}} + \frac{b^{2} \left(a d - b c\right) \log{\left(x + \frac{a^{2} b^{2} d - a b^{3} c - a b^{2} \left(a d - b c\right)}{2 a b^{3} d - 2 b^{4} c} \right)}}{a^{4}} - \frac{b^{2} \left(a d - b c\right) \log{\left(x + \frac{a^{2} b^{2} d - a b^{3} c + a b^{2} \left(a d - b c\right)}{2 a b^{3} d - 2 b^{4} c} \right)}}{a^{4}}"," ",0,"(-2*a**2*c + x**2*(6*a*b*d - 6*b**2*c) + x*(-3*a**2*d + 3*a*b*c))/(6*a**3*x**3) + b**2*(a*d - b*c)*log(x + (a**2*b**2*d - a*b**3*c - a*b**2*(a*d - b*c))/(2*a*b**3*d - 2*b**4*c))/a**4 - b**2*(a*d - b*c)*log(x + (a**2*b**2*d - a*b**3*c + a*b**2*(a*d - b*c))/(2*a*b**3*d - 2*b**4*c))/a**4","B",0
213,1,155,0,0.717701," ","integrate(x**3*(d*x+c)**2/(b*x+a),x)","- \frac{a^{3} \left(a d - b c\right)^{2} \log{\left(a + b x \right)}}{b^{6}} + x^{4} \left(- \frac{a d^{2}}{4 b^{2}} + \frac{c d}{2 b}\right) + x^{3} \left(\frac{a^{2} d^{2}}{3 b^{3}} - \frac{2 a c d}{3 b^{2}} + \frac{c^{2}}{3 b}\right) + x^{2} \left(- \frac{a^{3} d^{2}}{2 b^{4}} + \frac{a^{2} c d}{b^{3}} - \frac{a c^{2}}{2 b^{2}}\right) + x \left(\frac{a^{4} d^{2}}{b^{5}} - \frac{2 a^{3} c d}{b^{4}} + \frac{a^{2} c^{2}}{b^{3}}\right) + \frac{d^{2} x^{5}}{5 b}"," ",0,"-a**3*(a*d - b*c)**2*log(a + b*x)/b**6 + x**4*(-a*d**2/(4*b**2) + c*d/(2*b)) + x**3*(a**2*d**2/(3*b**3) - 2*a*c*d/(3*b**2) + c**2/(3*b)) + x**2*(-a**3*d**2/(2*b**4) + a**2*c*d/b**3 - a*c**2/(2*b**2)) + x*(a**4*d**2/b**5 - 2*a**3*c*d/b**4 + a**2*c**2/b**3) + d**2*x**5/(5*b)","A",0
214,1,116,0,0.429805," ","integrate(x**2*(d*x+c)**2/(b*x+a),x)","\frac{a^{2} \left(a d - b c\right)^{2} \log{\left(a + b x \right)}}{b^{5}} + x^{3} \left(- \frac{a d^{2}}{3 b^{2}} + \frac{2 c d}{3 b}\right) + x^{2} \left(\frac{a^{2} d^{2}}{2 b^{3}} - \frac{a c d}{b^{2}} + \frac{c^{2}}{2 b}\right) + x \left(- \frac{a^{3} d^{2}}{b^{4}} + \frac{2 a^{2} c d}{b^{3}} - \frac{a c^{2}}{b^{2}}\right) + \frac{d^{2} x^{4}}{4 b}"," ",0,"a**2*(a*d - b*c)**2*log(a + b*x)/b**5 + x**3*(-a*d**2/(3*b**2) + 2*c*d/(3*b)) + x**2*(a**2*d**2/(2*b**3) - a*c*d/b**2 + c**2/(2*b)) + x*(-a**3*d**2/b**4 + 2*a**2*c*d/b**3 - a*c**2/b**2) + d**2*x**4/(4*b)","A",0
215,1,75,0,0.307916," ","integrate(x*(d*x+c)**2/(b*x+a),x)","- \frac{a \left(a d - b c\right)^{2} \log{\left(a + b x \right)}}{b^{4}} + x^{2} \left(- \frac{a d^{2}}{2 b^{2}} + \frac{c d}{b}\right) + x \left(\frac{a^{2} d^{2}}{b^{3}} - \frac{2 a c d}{b^{2}} + \frac{c^{2}}{b}\right) + \frac{d^{2} x^{3}}{3 b}"," ",0,"-a*(a*d - b*c)**2*log(a + b*x)/b**4 + x**2*(-a*d**2/(2*b**2) + c*d/b) + x*(a**2*d**2/b**3 - 2*a*c*d/b**2 + c**2/b) + d**2*x**3/(3*b)","A",0
216,1,44,0,0.833024," ","integrate((d*x+c)**2/(b*x+a),x)","x \left(- \frac{a d^{2}}{b^{2}} + \frac{2 c d}{b}\right) + \frac{d^{2} x^{2}}{2 b} + \frac{\left(a d - b c\right)^{2} \log{\left(a + b x \right)}}{b^{3}}"," ",0,"x*(-a*d**2/b**2 + 2*c*d/b) + d**2*x**2/(2*b) + (a*d - b*c)**2*log(a + b*x)/b**3","A",0
217,1,73,0,0.976575," ","integrate((d*x+c)**2/x/(b*x+a),x)","\frac{d^{2} x}{b} + \frac{c^{2} \log{\left(x \right)}}{a} - \frac{\left(a d - b c\right)^{2} \log{\left(x + \frac{a b c^{2} + \frac{a \left(a d - b c\right)^{2}}{b}}{a^{2} d^{2} - 2 a b c d + 2 b^{2} c^{2}} \right)}}{a b^{2}}"," ",0,"d**2*x/b + c**2*log(x)/a - (a*d - b*c)**2*log(x + (a*b*c**2 + a*(a*d - b*c)**2/b)/(a**2*d**2 - 2*a*b*c*d + 2*b**2*c**2))/(a*b**2)","B",0
218,1,141,0,0.956689," ","integrate((d*x+c)**2/x**2/(b*x+a),x)","- \frac{c^{2}}{a x} + \frac{c \left(2 a d - b c\right) \log{\left(x + \frac{- 2 a^{2} c d + a b c^{2} + a c \left(2 a d - b c\right)}{a^{2} d^{2} - 4 a b c d + 2 b^{2} c^{2}} \right)}}{a^{2}} + \frac{\left(a d - b c\right)^{2} \log{\left(x + \frac{- 2 a^{2} c d + a b c^{2} + \frac{a \left(a d - b c\right)^{2}}{b}}{a^{2} d^{2} - 4 a b c d + 2 b^{2} c^{2}} \right)}}{a^{2} b}"," ",0,"-c**2/(a*x) + c*(2*a*d - b*c)*log(x + (-2*a**2*c*d + a*b*c**2 + a*c*(2*a*d - b*c))/(a**2*d**2 - 4*a*b*c*d + 2*b**2*c**2))/a**2 + (a*d - b*c)**2*log(x + (-2*a**2*c*d + a*b*c**2 + a*(a*d - b*c)**2/b)/(a**2*d**2 - 4*a*b*c*d + 2*b**2*c**2))/(a**2*b)","B",0
219,1,187,0,1.394604," ","integrate((d*x+c)**2/x**3/(b*x+a),x)","\frac{- a c^{2} + x \left(- 4 a c d + 2 b c^{2}\right)}{2 a^{2} x^{2}} + \frac{\left(a d - b c\right)^{2} \log{\left(x + \frac{a^{3} d^{2} - 2 a^{2} b c d + a b^{2} c^{2} - a \left(a d - b c\right)^{2}}{2 a^{2} b d^{2} - 4 a b^{2} c d + 2 b^{3} c^{2}} \right)}}{a^{3}} - \frac{\left(a d - b c\right)^{2} \log{\left(x + \frac{a^{3} d^{2} - 2 a^{2} b c d + a b^{2} c^{2} + a \left(a d - b c\right)^{2}}{2 a^{2} b d^{2} - 4 a b^{2} c d + 2 b^{3} c^{2}} \right)}}{a^{3}}"," ",0,"(-a*c**2 + x*(-4*a*c*d + 2*b*c**2))/(2*a**2*x**2) + (a*d - b*c)**2*log(x + (a**3*d**2 - 2*a**2*b*c*d + a*b**2*c**2 - a*(a*d - b*c)**2)/(2*a**2*b*d**2 - 4*a*b**2*c*d + 2*b**3*c**2))/a**3 - (a*d - b*c)**2*log(x + (a**3*d**2 - 2*a**2*b*c*d + a*b**2*c**2 + a*(a*d - b*c)**2)/(2*a**2*b*d**2 - 4*a*b**2*c*d + 2*b**3*c**2))/a**3","B",0
220,1,240,0,0.944627," ","integrate((d*x+c)**2/x**4/(b*x+a),x)","\frac{- 2 a^{2} c^{2} + x^{2} \left(- 6 a^{2} d^{2} + 12 a b c d - 6 b^{2} c^{2}\right) + x \left(- 6 a^{2} c d + 3 a b c^{2}\right)}{6 a^{3} x^{3}} - \frac{b \left(a d - b c\right)^{2} \log{\left(x + \frac{a^{3} b d^{2} - 2 a^{2} b^{2} c d + a b^{3} c^{2} - a b \left(a d - b c\right)^{2}}{2 a^{2} b^{2} d^{2} - 4 a b^{3} c d + 2 b^{4} c^{2}} \right)}}{a^{4}} + \frac{b \left(a d - b c\right)^{2} \log{\left(x + \frac{a^{3} b d^{2} - 2 a^{2} b^{2} c d + a b^{3} c^{2} + a b \left(a d - b c\right)^{2}}{2 a^{2} b^{2} d^{2} - 4 a b^{3} c d + 2 b^{4} c^{2}} \right)}}{a^{4}}"," ",0,"(-2*a**2*c**2 + x**2*(-6*a**2*d**2 + 12*a*b*c*d - 6*b**2*c**2) + x*(-6*a**2*c*d + 3*a*b*c**2))/(6*a**3*x**3) - b*(a*d - b*c)**2*log(x + (a**3*b*d**2 - 2*a**2*b**2*c*d + a*b**3*c**2 - a*b*(a*d - b*c)**2)/(2*a**2*b**2*d**2 - 4*a*b**3*c*d + 2*b**4*c**2))/a**4 + b*(a*d - b*c)**2*log(x + (a**3*b*d**2 - 2*a**2*b**2*c*d + a*b**3*c**2 + a*b*(a*d - b*c)**2)/(2*a**2*b**2*d**2 - 4*a*b**3*c*d + 2*b**4*c**2))/a**4","B",0
221,1,287,0,1.075699," ","integrate((d*x+c)**2/x**5/(b*x+a),x)","\frac{- 3 a^{3} c^{2} + x^{3} \left(12 a^{2} b d^{2} - 24 a b^{2} c d + 12 b^{3} c^{2}\right) + x^{2} \left(- 6 a^{3} d^{2} + 12 a^{2} b c d - 6 a b^{2} c^{2}\right) + x \left(- 8 a^{3} c d + 4 a^{2} b c^{2}\right)}{12 a^{4} x^{4}} + \frac{b^{2} \left(a d - b c\right)^{2} \log{\left(x + \frac{a^{3} b^{2} d^{2} - 2 a^{2} b^{3} c d + a b^{4} c^{2} - a b^{2} \left(a d - b c\right)^{2}}{2 a^{2} b^{3} d^{2} - 4 a b^{4} c d + 2 b^{5} c^{2}} \right)}}{a^{5}} - \frac{b^{2} \left(a d - b c\right)^{2} \log{\left(x + \frac{a^{3} b^{2} d^{2} - 2 a^{2} b^{3} c d + a b^{4} c^{2} + a b^{2} \left(a d - b c\right)^{2}}{2 a^{2} b^{3} d^{2} - 4 a b^{4} c d + 2 b^{5} c^{2}} \right)}}{a^{5}}"," ",0,"(-3*a**3*c**2 + x**3*(12*a**2*b*d**2 - 24*a*b**2*c*d + 12*b**3*c**2) + x**2*(-6*a**3*d**2 + 12*a**2*b*c*d - 6*a*b**2*c**2) + x*(-8*a**3*c*d + 4*a**2*b*c**2))/(12*a**4*x**4) + b**2*(a*d - b*c)**2*log(x + (a**3*b**2*d**2 - 2*a**2*b**3*c*d + a*b**4*c**2 - a*b**2*(a*d - b*c)**2)/(2*a**2*b**3*d**2 - 4*a*b**4*c*d + 2*b**5*c**2))/a**5 - b**2*(a*d - b*c)**2*log(x + (a**3*b**2*d**2 - 2*a**2*b**3*c*d + a*b**4*c**2 + a*b**2*(a*d - b*c)**2)/(2*a**2*b**3*d**2 - 4*a*b**4*c*d + 2*b**5*c**2))/a**5","B",0
222,1,243,0,0.652303," ","integrate(x**3*(d*x+c)**3/(b*x+a),x)","\frac{a^{3} \left(a d - b c\right)^{3} \log{\left(a + b x \right)}}{b^{7}} + x^{5} \left(- \frac{a d^{3}}{5 b^{2}} + \frac{3 c d^{2}}{5 b}\right) + x^{4} \left(\frac{a^{2} d^{3}}{4 b^{3}} - \frac{3 a c d^{2}}{4 b^{2}} + \frac{3 c^{2} d}{4 b}\right) + x^{3} \left(- \frac{a^{3} d^{3}}{3 b^{4}} + \frac{a^{2} c d^{2}}{b^{3}} - \frac{a c^{2} d}{b^{2}} + \frac{c^{3}}{3 b}\right) + x^{2} \left(\frac{a^{4} d^{3}}{2 b^{5}} - \frac{3 a^{3} c d^{2}}{2 b^{4}} + \frac{3 a^{2} c^{2} d}{2 b^{3}} - \frac{a c^{3}}{2 b^{2}}\right) + x \left(- \frac{a^{5} d^{3}}{b^{6}} + \frac{3 a^{4} c d^{2}}{b^{5}} - \frac{3 a^{3} c^{2} d}{b^{4}} + \frac{a^{2} c^{3}}{b^{3}}\right) + \frac{d^{3} x^{6}}{6 b}"," ",0,"a**3*(a*d - b*c)**3*log(a + b*x)/b**7 + x**5*(-a*d**3/(5*b**2) + 3*c*d**2/(5*b)) + x**4*(a**2*d**3/(4*b**3) - 3*a*c*d**2/(4*b**2) + 3*c**2*d/(4*b)) + x**3*(-a**3*d**3/(3*b**4) + a**2*c*d**2/b**3 - a*c**2*d/b**2 + c**3/(3*b)) + x**2*(a**4*d**3/(2*b**5) - 3*a**3*c*d**2/(2*b**4) + 3*a**2*c**2*d/(2*b**3) - a*c**3/(2*b**2)) + x*(-a**5*d**3/b**6 + 3*a**4*c*d**2/b**5 - 3*a**3*c**2*d/b**4 + a**2*c**3/b**3) + d**3*x**6/(6*b)","A",0
223,1,185,0,0.952339," ","integrate(x**2*(d*x+c)**3/(b*x+a),x)","- \frac{a^{2} \left(a d - b c\right)^{3} \log{\left(a + b x \right)}}{b^{6}} + x^{4} \left(- \frac{a d^{3}}{4 b^{2}} + \frac{3 c d^{2}}{4 b}\right) + x^{3} \left(\frac{a^{2} d^{3}}{3 b^{3}} - \frac{a c d^{2}}{b^{2}} + \frac{c^{2} d}{b}\right) + x^{2} \left(- \frac{a^{3} d^{3}}{2 b^{4}} + \frac{3 a^{2} c d^{2}}{2 b^{3}} - \frac{3 a c^{2} d}{2 b^{2}} + \frac{c^{3}}{2 b}\right) + x \left(\frac{a^{4} d^{3}}{b^{5}} - \frac{3 a^{3} c d^{2}}{b^{4}} + \frac{3 a^{2} c^{2} d}{b^{3}} - \frac{a c^{3}}{b^{2}}\right) + \frac{d^{3} x^{5}}{5 b}"," ",0,"-a**2*(a*d - b*c)**3*log(a + b*x)/b**6 + x**4*(-a*d**3/(4*b**2) + 3*c*d**2/(4*b)) + x**3*(a**2*d**3/(3*b**3) - a*c*d**2/b**2 + c**2*d/b) + x**2*(-a**3*d**3/(2*b**4) + 3*a**2*c*d**2/(2*b**3) - 3*a*c**2*d/(2*b**2) + c**3/(2*b)) + x*(a**4*d**3/b**5 - 3*a**3*c*d**2/b**4 + 3*a**2*c**2*d/b**3 - a*c**3/b**2) + d**3*x**5/(5*b)","A",0
224,1,131,0,0.972488," ","integrate(x*(d*x+c)**3/(b*x+a),x)","\frac{a \left(a d - b c\right)^{3} \log{\left(a + b x \right)}}{b^{5}} + x^{3} \left(- \frac{a d^{3}}{3 b^{2}} + \frac{c d^{2}}{b}\right) + x^{2} \left(\frac{a^{2} d^{3}}{2 b^{3}} - \frac{3 a c d^{2}}{2 b^{2}} + \frac{3 c^{2} d}{2 b}\right) + x \left(- \frac{a^{3} d^{3}}{b^{4}} + \frac{3 a^{2} c d^{2}}{b^{3}} - \frac{3 a c^{2} d}{b^{2}} + \frac{c^{3}}{b}\right) + \frac{d^{3} x^{4}}{4 b}"," ",0,"a*(a*d - b*c)**3*log(a + b*x)/b**5 + x**3*(-a*d**3/(3*b**2) + c*d**2/b) + x**2*(a**2*d**3/(2*b**3) - 3*a*c*d**2/(2*b**2) + 3*c**2*d/(2*b)) + x*(-a**3*d**3/b**4 + 3*a**2*c*d**2/b**3 - 3*a*c**2*d/b**2 + c**3/b) + d**3*x**4/(4*b)","A",0
225,1,83,0,0.360650," ","integrate((d*x+c)**3/(b*x+a),x)","x^{2} \left(- \frac{a d^{3}}{2 b^{2}} + \frac{3 c d^{2}}{2 b}\right) + x \left(\frac{a^{2} d^{3}}{b^{3}} - \frac{3 a c d^{2}}{b^{2}} + \frac{3 c^{2} d}{b}\right) + \frac{d^{3} x^{3}}{3 b} - \frac{\left(a d - b c\right)^{3} \log{\left(a + b x \right)}}{b^{4}}"," ",0,"x**2*(-a*d**3/(2*b**2) + 3*c*d**2/(2*b)) + x*(a**2*d**3/b**3 - 3*a*c*d**2/b**2 + 3*c**2*d/b) + d**3*x**3/(3*b) - (a*d - b*c)**3*log(a + b*x)/b**4","A",0
226,1,112,0,1.482385," ","integrate((d*x+c)**3/x/(b*x+a),x)","x \left(- \frac{a d^{3}}{b^{2}} + \frac{3 c d^{2}}{b}\right) + \frac{d^{3} x^{2}}{2 b} + \frac{c^{3} \log{\left(x \right)}}{a} + \frac{\left(a d - b c\right)^{3} \log{\left(x + \frac{- a b^{2} c^{3} + \frac{a \left(a d - b c\right)^{3}}{b}}{a^{3} d^{3} - 3 a^{2} b c d^{2} + 3 a b^{2} c^{2} d - 2 b^{3} c^{3}} \right)}}{a b^{3}}"," ",0,"x*(-a*d**3/b**2 + 3*c*d**2/b) + d**3*x**2/(2*b) + c**3*log(x)/a + (a*d - b*c)**3*log(x + (-a*b**2*c**3 + a*(a*d - b*c)**3/b)/(a**3*d**3 - 3*a**2*b*c*d**2 + 3*a*b**2*c**2*d - 2*b**3*c**3))/(a*b**3)","B",0
227,1,196,0,1.914072," ","integrate((d*x+c)**3/x**2/(b*x+a),x)","\frac{d^{3} x}{b} - \frac{c^{3}}{a x} + \frac{c^{2} \left(3 a d - b c\right) \log{\left(x + \frac{3 a^{2} b c^{2} d - a b^{2} c^{3} - a b c^{2} \left(3 a d - b c\right)}{a^{3} d^{3} - 3 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - 2 b^{3} c^{3}} \right)}}{a^{2}} - \frac{\left(a d - b c\right)^{3} \log{\left(x + \frac{3 a^{2} b c^{2} d - a b^{2} c^{3} + \frac{a \left(a d - b c\right)^{3}}{b}}{a^{3} d^{3} - 3 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - 2 b^{3} c^{3}} \right)}}{a^{2} b^{2}}"," ",0,"d**3*x/b - c**3/(a*x) + c**2*(3*a*d - b*c)*log(x + (3*a**2*b*c**2*d - a*b**2*c**3 - a*b*c**2*(3*a*d - b*c))/(a**3*d**3 - 3*a**2*b*c*d**2 + 6*a*b**2*c**2*d - 2*b**3*c**3))/a**2 - (a*d - b*c)**3*log(x + (3*a**2*b*c**2*d - a*b**2*c**3 + a*(a*d - b*c)**3/b)/(a**3*d**3 - 3*a**2*b*c*d**2 + 6*a*b**2*c**2*d - 2*b**3*c**3))/(a**2*b**2)","B",0
228,1,257,0,2.224077," ","integrate((d*x+c)**3/x**3/(b*x+a),x)","\frac{- a c^{3} + x \left(- 6 a c^{2} d + 2 b c^{3}\right)}{2 a^{2} x^{2}} + \frac{c \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{- 3 a^{3} c d^{2} + 3 a^{2} b c^{2} d - a b^{2} c^{3} + a c \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{a^{3} d^{3} - 6 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - 2 b^{3} c^{3}} \right)}}{a^{3}} + \frac{\left(a d - b c\right)^{3} \log{\left(x + \frac{- 3 a^{3} c d^{2} + 3 a^{2} b c^{2} d - a b^{2} c^{3} + \frac{a \left(a d - b c\right)^{3}}{b}}{a^{3} d^{3} - 6 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - 2 b^{3} c^{3}} \right)}}{a^{3} b}"," ",0,"(-a*c**3 + x*(-6*a*c**2*d + 2*b*c**3))/(2*a**2*x**2) + c*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)*log(x + (-3*a**3*c*d**2 + 3*a**2*b*c**2*d - a*b**2*c**3 + a*c*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2))/(a**3*d**3 - 6*a**2*b*c*d**2 + 6*a*b**2*c**2*d - 2*b**3*c**3))/a**3 + (a*d - b*c)**3*log(x + (-3*a**3*c*d**2 + 3*a**2*b*c**2*d - a*b**2*c**3 + a*(a*d - b*c)**3/b)/(a**3*d**3 - 6*a**2*b*c*d**2 + 6*a*b**2*c**2*d - 2*b**3*c**3))/(a**3*b)","B",0
229,1,289,0,1.203212," ","integrate((d*x+c)**3/x**4/(b*x+a),x)","\frac{- 2 a^{2} c^{3} + x^{2} \left(- 18 a^{2} c d^{2} + 18 a b c^{2} d - 6 b^{2} c^{3}\right) + x \left(- 9 a^{2} c^{2} d + 3 a b c^{3}\right)}{6 a^{3} x^{3}} + \frac{\left(a d - b c\right)^{3} \log{\left(x + \frac{a^{4} d^{3} - 3 a^{3} b c d^{2} + 3 a^{2} b^{2} c^{2} d - a b^{3} c^{3} - a \left(a d - b c\right)^{3}}{2 a^{3} b d^{3} - 6 a^{2} b^{2} c d^{2} + 6 a b^{3} c^{2} d - 2 b^{4} c^{3}} \right)}}{a^{4}} - \frac{\left(a d - b c\right)^{3} \log{\left(x + \frac{a^{4} d^{3} - 3 a^{3} b c d^{2} + 3 a^{2} b^{2} c^{2} d - a b^{3} c^{3} + a \left(a d - b c\right)^{3}}{2 a^{3} b d^{3} - 6 a^{2} b^{2} c d^{2} + 6 a b^{3} c^{2} d - 2 b^{4} c^{3}} \right)}}{a^{4}}"," ",0,"(-2*a**2*c**3 + x**2*(-18*a**2*c*d**2 + 18*a*b*c**2*d - 6*b**2*c**3) + x*(-9*a**2*c**2*d + 3*a*b*c**3))/(6*a**3*x**3) + (a*d - b*c)**3*log(x + (a**4*d**3 - 3*a**3*b*c*d**2 + 3*a**2*b**2*c**2*d - a*b**3*c**3 - a*(a*d - b*c)**3)/(2*a**3*b*d**3 - 6*a**2*b**2*c*d**2 + 6*a*b**3*c**2*d - 2*b**4*c**3))/a**4 - (a*d - b*c)**3*log(x + (a**4*d**3 - 3*a**3*b*c*d**2 + 3*a**2*b**2*c**2*d - a*b**3*c**3 + a*(a*d - b*c)**3)/(2*a**3*b*d**3 - 6*a**2*b**2*c*d**2 + 6*a*b**3*c**2*d - 2*b**4*c**3))/a**4","B",0
230,1,355,0,1.571712," ","integrate((d*x+c)**3/x**5/(b*x+a),x)","\frac{- 3 a^{3} c^{3} + x^{3} \left(- 12 a^{3} d^{3} + 36 a^{2} b c d^{2} - 36 a b^{2} c^{2} d + 12 b^{3} c^{3}\right) + x^{2} \left(- 18 a^{3} c d^{2} + 18 a^{2} b c^{2} d - 6 a b^{2} c^{3}\right) + x \left(- 12 a^{3} c^{2} d + 4 a^{2} b c^{3}\right)}{12 a^{4} x^{4}} - \frac{b \left(a d - b c\right)^{3} \log{\left(x + \frac{a^{4} b d^{3} - 3 a^{3} b^{2} c d^{2} + 3 a^{2} b^{3} c^{2} d - a b^{4} c^{3} - a b \left(a d - b c\right)^{3}}{2 a^{3} b^{2} d^{3} - 6 a^{2} b^{3} c d^{2} + 6 a b^{4} c^{2} d - 2 b^{5} c^{3}} \right)}}{a^{5}} + \frac{b \left(a d - b c\right)^{3} \log{\left(x + \frac{a^{4} b d^{3} - 3 a^{3} b^{2} c d^{2} + 3 a^{2} b^{3} c^{2} d - a b^{4} c^{3} + a b \left(a d - b c\right)^{3}}{2 a^{3} b^{2} d^{3} - 6 a^{2} b^{3} c d^{2} + 6 a b^{4} c^{2} d - 2 b^{5} c^{3}} \right)}}{a^{5}}"," ",0,"(-3*a**3*c**3 + x**3*(-12*a**3*d**3 + 36*a**2*b*c*d**2 - 36*a*b**2*c**2*d + 12*b**3*c**3) + x**2*(-18*a**3*c*d**2 + 18*a**2*b*c**2*d - 6*a*b**2*c**3) + x*(-12*a**3*c**2*d + 4*a**2*b*c**3))/(12*a**4*x**4) - b*(a*d - b*c)**3*log(x + (a**4*b*d**3 - 3*a**3*b**2*c*d**2 + 3*a**2*b**3*c**2*d - a*b**4*c**3 - a*b*(a*d - b*c)**3)/(2*a**3*b**2*d**3 - 6*a**2*b**3*c*d**2 + 6*a*b**4*c**2*d - 2*b**5*c**3))/a**5 + b*(a*d - b*c)**3*log(x + (a**4*b*d**3 - 3*a**3*b**2*c*d**2 + 3*a**2*b**3*c**2*d - a*b**4*c**3 + a*b*(a*d - b*c)**3)/(2*a**3*b**2*d**3 - 6*a**2*b**3*c*d**2 + 6*a*b**4*c**2*d - 2*b**5*c**3))/a**5","B",0
231,1,418,0,1.635084," ","integrate((d*x+c)**3/x**6/(b*x+a),x)","\frac{- 12 a^{4} c^{3} + x^{4} \left(60 a^{3} b d^{3} - 180 a^{2} b^{2} c d^{2} + 180 a b^{3} c^{2} d - 60 b^{4} c^{3}\right) + x^{3} \left(- 30 a^{4} d^{3} + 90 a^{3} b c d^{2} - 90 a^{2} b^{2} c^{2} d + 30 a b^{3} c^{3}\right) + x^{2} \left(- 60 a^{4} c d^{2} + 60 a^{3} b c^{2} d - 20 a^{2} b^{2} c^{3}\right) + x \left(- 45 a^{4} c^{2} d + 15 a^{3} b c^{3}\right)}{60 a^{5} x^{5}} + \frac{b^{2} \left(a d - b c\right)^{3} \log{\left(x + \frac{a^{4} b^{2} d^{3} - 3 a^{3} b^{3} c d^{2} + 3 a^{2} b^{4} c^{2} d - a b^{5} c^{3} - a b^{2} \left(a d - b c\right)^{3}}{2 a^{3} b^{3} d^{3} - 6 a^{2} b^{4} c d^{2} + 6 a b^{5} c^{2} d - 2 b^{6} c^{3}} \right)}}{a^{6}} - \frac{b^{2} \left(a d - b c\right)^{3} \log{\left(x + \frac{a^{4} b^{2} d^{3} - 3 a^{3} b^{3} c d^{2} + 3 a^{2} b^{4} c^{2} d - a b^{5} c^{3} + a b^{2} \left(a d - b c\right)^{3}}{2 a^{3} b^{3} d^{3} - 6 a^{2} b^{4} c d^{2} + 6 a b^{5} c^{2} d - 2 b^{6} c^{3}} \right)}}{a^{6}}"," ",0,"(-12*a**4*c**3 + x**4*(60*a**3*b*d**3 - 180*a**2*b**2*c*d**2 + 180*a*b**3*c**2*d - 60*b**4*c**3) + x**3*(-30*a**4*d**3 + 90*a**3*b*c*d**2 - 90*a**2*b**2*c**2*d + 30*a*b**3*c**3) + x**2*(-60*a**4*c*d**2 + 60*a**3*b*c**2*d - 20*a**2*b**2*c**3) + x*(-45*a**4*c**2*d + 15*a**3*b*c**3))/(60*a**5*x**5) + b**2*(a*d - b*c)**3*log(x + (a**4*b**2*d**3 - 3*a**3*b**3*c*d**2 + 3*a**2*b**4*c**2*d - a*b**5*c**3 - a*b**2*(a*d - b*c)**3)/(2*a**3*b**3*d**3 - 6*a**2*b**4*c*d**2 + 6*a*b**5*c**2*d - 2*b**6*c**3))/a**6 - b**2*(a*d - b*c)**3*log(x + (a**4*b**2*d**3 - 3*a**3*b**3*c*d**2 + 3*a**2*b**4*c**2*d - a*b**5*c**3 + a*b**2*(a*d - b*c)**3)/(2*a**3*b**3*d**3 - 6*a**2*b**4*c*d**2 + 6*a*b**5*c**2*d - 2*b**6*c**3))/a**6","B",0
232,1,306,0,2.887123," ","integrate(x**5/(b*x+a)/(d*x+c),x)","\frac{a^{5} \log{\left(x + \frac{\frac{a^{7} d^{6}}{b \left(a d - b c\right)} - \frac{2 a^{6} c d^{5}}{a d - b c} + \frac{a^{5} b c^{2} d^{4}}{a d - b c} + a^{5} c d^{4} + a b^{4} c^{5}}{a^{5} d^{5} + b^{5} c^{5}} \right)}}{b^{5} \left(a d - b c\right)} - \frac{c^{5} \log{\left(x + \frac{a^{5} c d^{4} - \frac{a^{2} b^{4} c^{5} d}{a d - b c} + \frac{2 a b^{5} c^{6}}{a d - b c} + a b^{4} c^{5} - \frac{b^{6} c^{7}}{d \left(a d - b c\right)}}{a^{5} d^{5} + b^{5} c^{5}} \right)}}{d^{5} \left(a d - b c\right)} + x^{3} \left(- \frac{a}{3 b^{2} d} - \frac{c}{3 b d^{2}}\right) + x^{2} \left(\frac{a^{2}}{2 b^{3} d} + \frac{a c}{2 b^{2} d^{2}} + \frac{c^{2}}{2 b d^{3}}\right) + x \left(- \frac{a^{3}}{b^{4} d} - \frac{a^{2} c}{b^{3} d^{2}} - \frac{a c^{2}}{b^{2} d^{3}} - \frac{c^{3}}{b d^{4}}\right) + \frac{x^{4}}{4 b d}"," ",0,"a**5*log(x + (a**7*d**6/(b*(a*d - b*c)) - 2*a**6*c*d**5/(a*d - b*c) + a**5*b*c**2*d**4/(a*d - b*c) + a**5*c*d**4 + a*b**4*c**5)/(a**5*d**5 + b**5*c**5))/(b**5*(a*d - b*c)) - c**5*log(x + (a**5*c*d**4 - a**2*b**4*c**5*d/(a*d - b*c) + 2*a*b**5*c**6/(a*d - b*c) + a*b**4*c**5 - b**6*c**7/(d*(a*d - b*c)))/(a**5*d**5 + b**5*c**5))/(d**5*(a*d - b*c)) + x**3*(-a/(3*b**2*d) - c/(3*b*d**2)) + x**2*(a**2/(2*b**3*d) + a*c/(2*b**2*d**2) + c**2/(2*b*d**3)) + x*(-a**3/(b**4*d) - a**2*c/(b**3*d**2) - a*c**2/(b**2*d**3) - c**3/(b*d**4)) + x**4/(4*b*d)","B",0
233,1,255,0,2.101588," ","integrate(x**4/(b*x+a)/(d*x+c),x)","- \frac{a^{4} \log{\left(x + \frac{\frac{a^{6} d^{5}}{b \left(a d - b c\right)} - \frac{2 a^{5} c d^{4}}{a d - b c} + \frac{a^{4} b c^{2} d^{3}}{a d - b c} + a^{4} c d^{3} + a b^{3} c^{4}}{a^{4} d^{4} + b^{4} c^{4}} \right)}}{b^{4} \left(a d - b c\right)} + \frac{c^{4} \log{\left(x + \frac{a^{4} c d^{3} - \frac{a^{2} b^{3} c^{4} d}{a d - b c} + \frac{2 a b^{4} c^{5}}{a d - b c} + a b^{3} c^{4} - \frac{b^{5} c^{6}}{d \left(a d - b c\right)}}{a^{4} d^{4} + b^{4} c^{4}} \right)}}{d^{4} \left(a d - b c\right)} + x^{2} \left(- \frac{a}{2 b^{2} d} - \frac{c}{2 b d^{2}}\right) + x \left(\frac{a^{2}}{b^{3} d} + \frac{a c}{b^{2} d^{2}} + \frac{c^{2}}{b d^{3}}\right) + \frac{x^{3}}{3 b d}"," ",0,"-a**4*log(x + (a**6*d**5/(b*(a*d - b*c)) - 2*a**5*c*d**4/(a*d - b*c) + a**4*b*c**2*d**3/(a*d - b*c) + a**4*c*d**3 + a*b**3*c**4)/(a**4*d**4 + b**4*c**4))/(b**4*(a*d - b*c)) + c**4*log(x + (a**4*c*d**3 - a**2*b**3*c**4*d/(a*d - b*c) + 2*a*b**4*c**5/(a*d - b*c) + a*b**3*c**4 - b**5*c**6/(d*(a*d - b*c)))/(a**4*d**4 + b**4*c**4))/(d**4*(a*d - b*c)) + x**2*(-a/(2*b**2*d) - c/(2*b*d**2)) + x*(a**2/(b**3*d) + a*c/(b**2*d**2) + c**2/(b*d**3)) + x**3/(3*b*d)","B",0
234,1,221,0,1.634666," ","integrate(x**3/(b*x+a)/(d*x+c),x)","\frac{a^{3} \log{\left(x + \frac{\frac{a^{5} d^{4}}{b \left(a d - b c\right)} - \frac{2 a^{4} c d^{3}}{a d - b c} + \frac{a^{3} b c^{2} d^{2}}{a d - b c} + a^{3} c d^{2} + a b^{2} c^{3}}{a^{3} d^{3} + b^{3} c^{3}} \right)}}{b^{3} \left(a d - b c\right)} - \frac{c^{3} \log{\left(x + \frac{a^{3} c d^{2} - \frac{a^{2} b^{2} c^{3} d}{a d - b c} + \frac{2 a b^{3} c^{4}}{a d - b c} + a b^{2} c^{3} - \frac{b^{4} c^{5}}{d \left(a d - b c\right)}}{a^{3} d^{3} + b^{3} c^{3}} \right)}}{d^{3} \left(a d - b c\right)} + x \left(- \frac{a}{b^{2} d} - \frac{c}{b d^{2}}\right) + \frac{x^{2}}{2 b d}"," ",0,"a**3*log(x + (a**5*d**4/(b*(a*d - b*c)) - 2*a**4*c*d**3/(a*d - b*c) + a**3*b*c**2*d**2/(a*d - b*c) + a**3*c*d**2 + a*b**2*c**3)/(a**3*d**3 + b**3*c**3))/(b**3*(a*d - b*c)) - c**3*log(x + (a**3*c*d**2 - a**2*b**2*c**3*d/(a*d - b*c) + 2*a*b**3*c**4/(a*d - b*c) + a*b**2*c**3 - b**4*c**5/(d*(a*d - b*c)))/(a**3*d**3 + b**3*c**3))/(d**3*(a*d - b*c)) + x*(-a/(b**2*d) - c/(b*d**2)) + x**2/(2*b*d)","B",0
235,1,190,0,1.738225," ","integrate(x**2/(b*x+a)/(d*x+c),x)","- \frac{a^{2} \log{\left(x + \frac{\frac{a^{4} d^{3}}{b \left(a d - b c\right)} - \frac{2 a^{3} c d^{2}}{a d - b c} + \frac{a^{2} b c^{2} d}{a d - b c} + a^{2} c d + a b c^{2}}{a^{2} d^{2} + b^{2} c^{2}} \right)}}{b^{2} \left(a d - b c\right)} + \frac{c^{2} \log{\left(x + \frac{- \frac{a^{2} b c^{2} d}{a d - b c} + a^{2} c d + \frac{2 a b^{2} c^{3}}{a d - b c} + a b c^{2} - \frac{b^{3} c^{4}}{d \left(a d - b c\right)}}{a^{2} d^{2} + b^{2} c^{2}} \right)}}{d^{2} \left(a d - b c\right)} + \frac{x}{b d}"," ",0,"-a**2*log(x + (a**4*d**3/(b*(a*d - b*c)) - 2*a**3*c*d**2/(a*d - b*c) + a**2*b*c**2*d/(a*d - b*c) + a**2*c*d + a*b*c**2)/(a**2*d**2 + b**2*c**2))/(b**2*(a*d - b*c)) + c**2*log(x + (-a**2*b*c**2*d/(a*d - b*c) + a**2*c*d + 2*a*b**2*c**3/(a*d - b*c) + a*b*c**2 - b**3*c**4/(d*(a*d - b*c)))/(a**2*d**2 + b**2*c**2))/(d**2*(a*d - b*c)) + x/(b*d)","B",0
236,1,138,0,0.830204," ","integrate(x/(b*x+a)/(d*x+c),x)","\frac{a \log{\left(x + \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)}}{b \left(a d - b c\right)} - \frac{c \log{\left(x + \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)}}{d \left(a d - b c\right)}"," ",0,"a*log(x + (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))/(b*(a*d - b*c)) - c*log(x + (-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))/(d*(a*d - b*c))","B",0
237,1,128,0,0.441658," ","integrate(1/(b*x+a)/(d*x+c),x)","\frac{\log{\left(x + \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)}}{a d - b c} - \frac{\log{\left(x + \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)}}{a d - b c}"," ",0,"log(x + (-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))/(a*d - b*c) - log(x + (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))/(a*d - b*c)","B",0
238,-1,0,0,0.000000," ","integrate(1/x/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate(1/x**2/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate(1/x**3/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate(1/x**4/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,1,464,0,5.998199," ","integrate(x**5/(b*x+a)/(d*x+c)**2,x)","- \frac{a^{5} \log{\left(x + \frac{\frac{a^{8} d^{7}}{b \left(a d - b c\right)^{2}} - \frac{3 a^{7} c d^{6}}{\left(a d - b c\right)^{2}} + \frac{3 a^{6} b c^{2} d^{5}}{\left(a d - b c\right)^{2}} - \frac{a^{5} b^{2} c^{3} d^{4}}{\left(a d - b c\right)^{2}} + a^{5} c d^{4} + 5 a^{2} b^{3} c^{4} d - 4 a b^{4} c^{5}}{a^{5} d^{5} + 5 a b^{4} c^{4} d - 4 b^{5} c^{5}} \right)}}{b^{4} \left(a d - b c\right)^{2}} + \frac{c^{5}}{a c d^{6} - b c^{2} d^{5} + x \left(a d^{7} - b c d^{6}\right)} + \frac{c^{4} \left(5 a d - 4 b c\right) \log{\left(x + \frac{a^{5} c d^{4} - \frac{a^{3} b^{3} c^{4} d^{2} \left(5 a d - 4 b c\right)}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b^{4} c^{5} d \left(5 a d - 4 b c\right)}{\left(a d - b c\right)^{2}} + 5 a^{2} b^{3} c^{4} d - \frac{3 a b^{5} c^{6} \left(5 a d - 4 b c\right)}{\left(a d - b c\right)^{2}} - 4 a b^{4} c^{5} + \frac{b^{6} c^{7} \left(5 a d - 4 b c\right)}{d \left(a d - b c\right)^{2}}}{a^{5} d^{5} + 5 a b^{4} c^{4} d - 4 b^{5} c^{5}} \right)}}{d^{5} \left(a d - b c\right)^{2}} + x^{2} \left(- \frac{a}{2 b^{2} d^{2}} - \frac{c}{b d^{3}}\right) + x \left(\frac{a^{2}}{b^{3} d^{2}} + \frac{2 a c}{b^{2} d^{3}} + \frac{3 c^{2}}{b d^{4}}\right) + \frac{x^{3}}{3 b d^{2}}"," ",0,"-a**5*log(x + (a**8*d**7/(b*(a*d - b*c)**2) - 3*a**7*c*d**6/(a*d - b*c)**2 + 3*a**6*b*c**2*d**5/(a*d - b*c)**2 - a**5*b**2*c**3*d**4/(a*d - b*c)**2 + a**5*c*d**4 + 5*a**2*b**3*c**4*d - 4*a*b**4*c**5)/(a**5*d**5 + 5*a*b**4*c**4*d - 4*b**5*c**5))/(b**4*(a*d - b*c)**2) + c**5/(a*c*d**6 - b*c**2*d**5 + x*(a*d**7 - b*c*d**6)) + c**4*(5*a*d - 4*b*c)*log(x + (a**5*c*d**4 - a**3*b**3*c**4*d**2*(5*a*d - 4*b*c)/(a*d - b*c)**2 + 3*a**2*b**4*c**5*d*(5*a*d - 4*b*c)/(a*d - b*c)**2 + 5*a**2*b**3*c**4*d - 3*a*b**5*c**6*(5*a*d - 4*b*c)/(a*d - b*c)**2 - 4*a*b**4*c**5 + b**6*c**7*(5*a*d - 4*b*c)/(d*(a*d - b*c)**2))/(a**5*d**5 + 5*a*b**4*c**4*d - 4*b**5*c**5))/(d**5*(a*d - b*c)**2) + x**2*(-a/(2*b**2*d**2) - c/(b*d**3)) + x*(a**2/(b**3*d**2) + 2*a*c/(b**2*d**3) + 3*c**2/(b*d**4)) + x**3/(3*b*d**2)","B",0
243,1,428,0,3.802190," ","integrate(x**4/(b*x+a)/(d*x+c)**2,x)","\frac{a^{4} \log{\left(x + \frac{\frac{a^{7} d^{6}}{b \left(a d - b c\right)^{2}} - \frac{3 a^{6} c d^{5}}{\left(a d - b c\right)^{2}} + \frac{3 a^{5} b c^{2} d^{4}}{\left(a d - b c\right)^{2}} - \frac{a^{4} b^{2} c^{3} d^{3}}{\left(a d - b c\right)^{2}} + a^{4} c d^{3} + 4 a^{2} b^{2} c^{3} d - 3 a b^{3} c^{4}}{a^{4} d^{4} + 4 a b^{3} c^{3} d - 3 b^{4} c^{4}} \right)}}{b^{3} \left(a d - b c\right)^{2}} - \frac{c^{4}}{a c d^{5} - b c^{2} d^{4} + x \left(a d^{6} - b c d^{5}\right)} - \frac{c^{3} \left(4 a d - 3 b c\right) \log{\left(x + \frac{a^{4} c d^{3} - \frac{a^{3} b^{2} c^{3} d^{2} \left(4 a d - 3 b c\right)}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b^{3} c^{4} d \left(4 a d - 3 b c\right)}{\left(a d - b c\right)^{2}} + 4 a^{2} b^{2} c^{3} d - \frac{3 a b^{4} c^{5} \left(4 a d - 3 b c\right)}{\left(a d - b c\right)^{2}} - 3 a b^{3} c^{4} + \frac{b^{5} c^{6} \left(4 a d - 3 b c\right)}{d \left(a d - b c\right)^{2}}}{a^{4} d^{4} + 4 a b^{3} c^{3} d - 3 b^{4} c^{4}} \right)}}{d^{4} \left(a d - b c\right)^{2}} + x \left(- \frac{a}{b^{2} d^{2}} - \frac{2 c}{b d^{3}}\right) + \frac{x^{2}}{2 b d^{2}}"," ",0,"a**4*log(x + (a**7*d**6/(b*(a*d - b*c)**2) - 3*a**6*c*d**5/(a*d - b*c)**2 + 3*a**5*b*c**2*d**4/(a*d - b*c)**2 - a**4*b**2*c**3*d**3/(a*d - b*c)**2 + a**4*c*d**3 + 4*a**2*b**2*c**3*d - 3*a*b**3*c**4)/(a**4*d**4 + 4*a*b**3*c**3*d - 3*b**4*c**4))/(b**3*(a*d - b*c)**2) - c**4/(a*c*d**5 - b*c**2*d**4 + x*(a*d**6 - b*c*d**5)) - c**3*(4*a*d - 3*b*c)*log(x + (a**4*c*d**3 - a**3*b**2*c**3*d**2*(4*a*d - 3*b*c)/(a*d - b*c)**2 + 3*a**2*b**3*c**4*d*(4*a*d - 3*b*c)/(a*d - b*c)**2 + 4*a**2*b**2*c**3*d - 3*a*b**4*c**5*(4*a*d - 3*b*c)/(a*d - b*c)**2 - 3*a*b**3*c**4 + b**5*c**6*(4*a*d - 3*b*c)/(d*(a*d - b*c)**2))/(a**4*d**4 + 4*a*b**3*c**3*d - 3*b**4*c**4))/(d**4*(a*d - b*c)**2) + x*(-a/(b**2*d**2) - 2*c/(b*d**3)) + x**2/(2*b*d**2)","B",0
244,1,400,0,3.294538," ","integrate(x**3/(b*x+a)/(d*x+c)**2,x)","- \frac{a^{3} \log{\left(x + \frac{\frac{a^{6} d^{5}}{b \left(a d - b c\right)^{2}} - \frac{3 a^{5} c d^{4}}{\left(a d - b c\right)^{2}} + \frac{3 a^{4} b c^{2} d^{3}}{\left(a d - b c\right)^{2}} - \frac{a^{3} b^{2} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + a^{3} c d^{2} + 3 a^{2} b c^{2} d - 2 a b^{2} c^{3}}{a^{3} d^{3} + 3 a b^{2} c^{2} d - 2 b^{3} c^{3}} \right)}}{b^{2} \left(a d - b c\right)^{2}} + \frac{c^{3}}{a c d^{4} - b c^{2} d^{3} + x \left(a d^{5} - b c d^{4}\right)} + \frac{c^{2} \left(3 a d - 2 b c\right) \log{\left(x + \frac{- \frac{a^{3} b c^{2} d^{2} \left(3 a d - 2 b c\right)}{\left(a d - b c\right)^{2}} + a^{3} c d^{2} + \frac{3 a^{2} b^{2} c^{3} d \left(3 a d - 2 b c\right)}{\left(a d - b c\right)^{2}} + 3 a^{2} b c^{2} d - \frac{3 a b^{3} c^{4} \left(3 a d - 2 b c\right)}{\left(a d - b c\right)^{2}} - 2 a b^{2} c^{3} + \frac{b^{4} c^{5} \left(3 a d - 2 b c\right)}{d \left(a d - b c\right)^{2}}}{a^{3} d^{3} + 3 a b^{2} c^{2} d - 2 b^{3} c^{3}} \right)}}{d^{3} \left(a d - b c\right)^{2}} + \frac{x}{b d^{2}}"," ",0,"-a**3*log(x + (a**6*d**5/(b*(a*d - b*c)**2) - 3*a**5*c*d**4/(a*d - b*c)**2 + 3*a**4*b*c**2*d**3/(a*d - b*c)**2 - a**3*b**2*c**3*d**2/(a*d - b*c)**2 + a**3*c*d**2 + 3*a**2*b*c**2*d - 2*a*b**2*c**3)/(a**3*d**3 + 3*a*b**2*c**2*d - 2*b**3*c**3))/(b**2*(a*d - b*c)**2) + c**3/(a*c*d**4 - b*c**2*d**3 + x*(a*d**5 - b*c*d**4)) + c**2*(3*a*d - 2*b*c)*log(x + (-a**3*b*c**2*d**2*(3*a*d - 2*b*c)/(a*d - b*c)**2 + a**3*c*d**2 + 3*a**2*b**2*c**3*d*(3*a*d - 2*b*c)/(a*d - b*c)**2 + 3*a**2*b*c**2*d - 3*a*b**3*c**4*(3*a*d - 2*b*c)/(a*d - b*c)**2 - 2*a*b**2*c**3 + b**4*c**5*(3*a*d - 2*b*c)/(d*(a*d - b*c)**2))/(a**3*d**3 + 3*a*b**2*c**2*d - 2*b**3*c**3))/(d**3*(a*d - b*c)**2) + x/(b*d**2)","B",0
245,1,333,0,2.234002," ","integrate(x**2/(b*x+a)/(d*x+c)**2,x)","\frac{a^{2} \log{\left(x + \frac{\frac{a^{5} d^{4}}{b \left(a d - b c\right)^{2}} - \frac{3 a^{4} c d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 a^{3} b c^{2} d^{2}}{\left(a d - b c\right)^{2}} - \frac{a^{2} b^{2} c^{3} d}{\left(a d - b c\right)^{2}} + 3 a^{2} c d - a b c^{2}}{a^{2} d^{2} + 2 a b c d - b^{2} c^{2}} \right)}}{b \left(a d - b c\right)^{2}} - \frac{c^{2}}{a c d^{3} - b c^{2} d^{2} + x \left(a d^{4} - b c d^{3}\right)} - \frac{c \left(2 a d - b c\right) \log{\left(x + \frac{- \frac{a^{3} c d^{2} \left(2 a d - b c\right)}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b c^{2} d \left(2 a d - b c\right)}{\left(a d - b c\right)^{2}} + 3 a^{2} c d - \frac{3 a b^{2} c^{3} \left(2 a d - b c\right)}{\left(a d - b c\right)^{2}} - a b c^{2} + \frac{b^{3} c^{4} \left(2 a d - b c\right)}{d \left(a d - b c\right)^{2}}}{a^{2} d^{2} + 2 a b c d - b^{2} c^{2}} \right)}}{d^{2} \left(a d - b c\right)^{2}}"," ",0,"a**2*log(x + (a**5*d**4/(b*(a*d - b*c)**2) - 3*a**4*c*d**3/(a*d - b*c)**2 + 3*a**3*b*c**2*d**2/(a*d - b*c)**2 - a**2*b**2*c**3*d/(a*d - b*c)**2 + 3*a**2*c*d - a*b*c**2)/(a**2*d**2 + 2*a*b*c*d - b**2*c**2))/(b*(a*d - b*c)**2) - c**2/(a*c*d**3 - b*c**2*d**2 + x*(a*d**4 - b*c*d**3)) - c*(2*a*d - b*c)*log(x + (-a**3*c*d**2*(2*a*d - b*c)/(a*d - b*c)**2 + 3*a**2*b*c**2*d*(2*a*d - b*c)/(a*d - b*c)**2 + 3*a**2*c*d - 3*a*b**2*c**3*(2*a*d - b*c)/(a*d - b*c)**2 - a*b*c**2 + b**3*c**4*(2*a*d - b*c)/(d*(a*d - b*c)**2))/(a**2*d**2 + 2*a*b*c*d - b**2*c**2))/(d**2*(a*d - b*c)**2)","B",0
246,1,238,0,0.915384," ","integrate(x/(b*x+a)/(d*x+c)**2,x)","\frac{a \log{\left(x + \frac{- \frac{a^{4} d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 a^{3} b c d^{2}}{\left(a d - b c\right)^{2}} - \frac{3 a^{2} b^{2} c^{2} d}{\left(a d - b c\right)^{2}} + a^{2} d + \frac{a b^{3} c^{3}}{\left(a d - b c\right)^{2}} + a b c}{2 a b d} \right)}}{\left(a d - b c\right)^{2}} - \frac{a \log{\left(x + \frac{\frac{a^{4} d^{3}}{\left(a d - b c\right)^{2}} - \frac{3 a^{3} b c d^{2}}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b^{2} c^{2} d}{\left(a d - b c\right)^{2}} + a^{2} d - \frac{a b^{3} c^{3}}{\left(a d - b c\right)^{2}} + a b c}{2 a b d} \right)}}{\left(a d - b c\right)^{2}} + \frac{c}{a c d^{2} - b c^{2} d + x \left(a d^{3} - b c d^{2}\right)}"," ",0,"a*log(x + (-a**4*d**3/(a*d - b*c)**2 + 3*a**3*b*c*d**2/(a*d - b*c)**2 - 3*a**2*b**2*c**2*d/(a*d - b*c)**2 + a**2*d + a*b**3*c**3/(a*d - b*c)**2 + a*b*c)/(2*a*b*d))/(a*d - b*c)**2 - a*log(x + (a**4*d**3/(a*d - b*c)**2 - 3*a**3*b*c*d**2/(a*d - b*c)**2 + 3*a**2*b**2*c**2*d/(a*d - b*c)**2 + a**2*d - a*b**3*c**3/(a*d - b*c)**2 + a*b*c)/(2*a*b*d))/(a*d - b*c)**2 + c/(a*c*d**2 - b*c**2*d + x*(a*d**3 - b*c*d**2))","B",0
247,1,233,0,0.732026," ","integrate(1/(b*x+a)/(d*x+c)**2,x)","- \frac{b \log{\left(x + \frac{- \frac{a^{3} b d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b^{2} c d^{2}}{\left(a d - b c\right)^{2}} - \frac{3 a b^{3} c^{2} d}{\left(a d - b c\right)^{2}} + a b d + \frac{b^{4} c^{3}}{\left(a d - b c\right)^{2}} + b^{2} c}{2 b^{2} d} \right)}}{\left(a d - b c\right)^{2}} + \frac{b \log{\left(x + \frac{\frac{a^{3} b d^{3}}{\left(a d - b c\right)^{2}} - \frac{3 a^{2} b^{2} c d^{2}}{\left(a d - b c\right)^{2}} + \frac{3 a b^{3} c^{2} d}{\left(a d - b c\right)^{2}} + a b d - \frac{b^{4} c^{3}}{\left(a d - b c\right)^{2}} + b^{2} c}{2 b^{2} d} \right)}}{\left(a d - b c\right)^{2}} - \frac{1}{a c d - b c^{2} + x \left(a d^{2} - b c d\right)}"," ",0,"-b*log(x + (-a**3*b*d**3/(a*d - b*c)**2 + 3*a**2*b**2*c*d**2/(a*d - b*c)**2 - 3*a*b**3*c**2*d/(a*d - b*c)**2 + a*b*d + b**4*c**3/(a*d - b*c)**2 + b**2*c)/(2*b**2*d))/(a*d - b*c)**2 + b*log(x + (a**3*b*d**3/(a*d - b*c)**2 - 3*a**2*b**2*c*d**2/(a*d - b*c)**2 + 3*a*b**3*c**2*d/(a*d - b*c)**2 + a*b*d - b**4*c**3/(a*d - b*c)**2 + b**2*c)/(2*b**2*d))/(a*d - b*c)**2 - 1/(a*c*d - b*c**2 + x*(a*d**2 - b*c*d))","B",0
248,-1,0,0,0.000000," ","integrate(1/x/(b*x+a)/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate(1/x**2/(b*x+a)/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,-1,0,0,0.000000," ","integrate(1/x**3/(b*x+a)/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
251,1,748,0,15.403807," ","integrate(x**5/(b*x+a)/(d*x+c)**3,x)","\frac{a^{5} \log{\left(x + \frac{\frac{a^{9} d^{8}}{b \left(a d - b c\right)^{3}} - \frac{4 a^{8} c d^{7}}{\left(a d - b c\right)^{3}} + \frac{6 a^{7} b c^{2} d^{6}}{\left(a d - b c\right)^{3}} - \frac{4 a^{6} b^{2} c^{3} d^{5}}{\left(a d - b c\right)^{3}} + \frac{a^{5} b^{3} c^{4} d^{4}}{\left(a d - b c\right)^{3}} + a^{5} c d^{4} + 10 a^{3} b^{2} c^{3} d^{2} - 15 a^{2} b^{3} c^{4} d + 6 a b^{4} c^{5}}{a^{5} d^{5} + 10 a^{2} b^{3} c^{3} d^{2} - 15 a b^{4} c^{4} d + 6 b^{5} c^{5}} \right)}}{b^{3} \left(a d - b c\right)^{3}} - \frac{c^{3} \left(10 a^{2} d^{2} - 15 a b c d + 6 b^{2} c^{2}\right) \log{\left(x + \frac{a^{5} c d^{4} - \frac{a^{4} b^{2} c^{3} d^{3} \left(10 a^{2} d^{2} - 15 a b c d + 6 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b^{3} c^{4} d^{2} \left(10 a^{2} d^{2} - 15 a b c d + 6 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + 10 a^{3} b^{2} c^{3} d^{2} - \frac{6 a^{2} b^{4} c^{5} d \left(10 a^{2} d^{2} - 15 a b c d + 6 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} - 15 a^{2} b^{3} c^{4} d + \frac{4 a b^{5} c^{6} \left(10 a^{2} d^{2} - 15 a b c d + 6 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + 6 a b^{4} c^{5} - \frac{b^{6} c^{7} \left(10 a^{2} d^{2} - 15 a b c d + 6 b^{2} c^{2}\right)}{d \left(a d - b c\right)^{3}}}{a^{5} d^{5} + 10 a^{2} b^{3} c^{3} d^{2} - 15 a b^{4} c^{4} d + 6 b^{5} c^{5}} \right)}}{d^{5} \left(a d - b c\right)^{3}} + x \left(- \frac{a}{b^{2} d^{3}} - \frac{3 c}{b d^{4}}\right) + \frac{- 9 a c^{5} d + 7 b c^{6} + x \left(- 10 a c^{4} d^{2} + 8 b c^{5} d\right)}{2 a^{2} c^{2} d^{7} - 4 a b c^{3} d^{6} + 2 b^{2} c^{4} d^{5} + x^{2} \left(2 a^{2} d^{9} - 4 a b c d^{8} + 2 b^{2} c^{2} d^{7}\right) + x \left(4 a^{2} c d^{8} - 8 a b c^{2} d^{7} + 4 b^{2} c^{3} d^{6}\right)} + \frac{x^{2}}{2 b d^{3}}"," ",0,"a**5*log(x + (a**9*d**8/(b*(a*d - b*c)**3) - 4*a**8*c*d**7/(a*d - b*c)**3 + 6*a**7*b*c**2*d**6/(a*d - b*c)**3 - 4*a**6*b**2*c**3*d**5/(a*d - b*c)**3 + a**5*b**3*c**4*d**4/(a*d - b*c)**3 + a**5*c*d**4 + 10*a**3*b**2*c**3*d**2 - 15*a**2*b**3*c**4*d + 6*a*b**4*c**5)/(a**5*d**5 + 10*a**2*b**3*c**3*d**2 - 15*a*b**4*c**4*d + 6*b**5*c**5))/(b**3*(a*d - b*c)**3) - c**3*(10*a**2*d**2 - 15*a*b*c*d + 6*b**2*c**2)*log(x + (a**5*c*d**4 - a**4*b**2*c**3*d**3*(10*a**2*d**2 - 15*a*b*c*d + 6*b**2*c**2)/(a*d - b*c)**3 + 4*a**3*b**3*c**4*d**2*(10*a**2*d**2 - 15*a*b*c*d + 6*b**2*c**2)/(a*d - b*c)**3 + 10*a**3*b**2*c**3*d**2 - 6*a**2*b**4*c**5*d*(10*a**2*d**2 - 15*a*b*c*d + 6*b**2*c**2)/(a*d - b*c)**3 - 15*a**2*b**3*c**4*d + 4*a*b**5*c**6*(10*a**2*d**2 - 15*a*b*c*d + 6*b**2*c**2)/(a*d - b*c)**3 + 6*a*b**4*c**5 - b**6*c**7*(10*a**2*d**2 - 15*a*b*c*d + 6*b**2*c**2)/(d*(a*d - b*c)**3))/(a**5*d**5 + 10*a**2*b**3*c**3*d**2 - 15*a*b**4*c**4*d + 6*b**5*c**5))/(d**5*(a*d - b*c)**3) + x*(-a/(b**2*d**3) - 3*c/(b*d**4)) + (-9*a*c**5*d + 7*b*c**6 + x*(-10*a*c**4*d**2 + 8*b*c**5*d))/(2*a**2*c**2*d**7 - 4*a*b*c**3*d**6 + 2*b**2*c**4*d**5 + x**2*(2*a**2*d**9 - 4*a*b*c*d**8 + 2*b**2*c**2*d**7) + x*(4*a**2*c*d**8 - 8*a*b*c**2*d**7 + 4*b**2*c**3*d**6)) + x**2/(2*b*d**3)","B",0
252,1,719,0,7.836594," ","integrate(x**4/(b*x+a)/(d*x+c)**3,x)","- \frac{a^{4} \log{\left(x + \frac{\frac{a^{8} d^{7}}{b \left(a d - b c\right)^{3}} - \frac{4 a^{7} c d^{6}}{\left(a d - b c\right)^{3}} + \frac{6 a^{6} b c^{2} d^{5}}{\left(a d - b c\right)^{3}} - \frac{4 a^{5} b^{2} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + \frac{a^{4} b^{3} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + a^{4} c d^{3} + 6 a^{3} b c^{2} d^{2} - 8 a^{2} b^{2} c^{3} d + 3 a b^{3} c^{4}}{a^{4} d^{4} + 6 a^{2} b^{2} c^{2} d^{2} - 8 a b^{3} c^{3} d + 3 b^{4} c^{4}} \right)}}{b^{2} \left(a d - b c\right)^{3}} + \frac{c^{2} \left(6 a^{2} d^{2} - 8 a b c d + 3 b^{2} c^{2}\right) \log{\left(x + \frac{- \frac{a^{4} b c^{2} d^{3} \left(6 a^{2} d^{2} - 8 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + a^{4} c d^{3} + \frac{4 a^{3} b^{2} c^{3} d^{2} \left(6 a^{2} d^{2} - 8 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + 6 a^{3} b c^{2} d^{2} - \frac{6 a^{2} b^{3} c^{4} d \left(6 a^{2} d^{2} - 8 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} - 8 a^{2} b^{2} c^{3} d + \frac{4 a b^{4} c^{5} \left(6 a^{2} d^{2} - 8 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + 3 a b^{3} c^{4} - \frac{b^{5} c^{6} \left(6 a^{2} d^{2} - 8 a b c d + 3 b^{2} c^{2}\right)}{d \left(a d - b c\right)^{3}}}{a^{4} d^{4} + 6 a^{2} b^{2} c^{2} d^{2} - 8 a b^{3} c^{3} d + 3 b^{4} c^{4}} \right)}}{d^{4} \left(a d - b c\right)^{3}} + \frac{7 a c^{4} d - 5 b c^{5} + x \left(8 a c^{3} d^{2} - 6 b c^{4} d\right)}{2 a^{2} c^{2} d^{6} - 4 a b c^{3} d^{5} + 2 b^{2} c^{4} d^{4} + x^{2} \left(2 a^{2} d^{8} - 4 a b c d^{7} + 2 b^{2} c^{2} d^{6}\right) + x \left(4 a^{2} c d^{7} - 8 a b c^{2} d^{6} + 4 b^{2} c^{3} d^{5}\right)} + \frac{x}{b d^{3}}"," ",0,"-a**4*log(x + (a**8*d**7/(b*(a*d - b*c)**3) - 4*a**7*c*d**6/(a*d - b*c)**3 + 6*a**6*b*c**2*d**5/(a*d - b*c)**3 - 4*a**5*b**2*c**3*d**4/(a*d - b*c)**3 + a**4*b**3*c**4*d**3/(a*d - b*c)**3 + a**4*c*d**3 + 6*a**3*b*c**2*d**2 - 8*a**2*b**2*c**3*d + 3*a*b**3*c**4)/(a**4*d**4 + 6*a**2*b**2*c**2*d**2 - 8*a*b**3*c**3*d + 3*b**4*c**4))/(b**2*(a*d - b*c)**3) + c**2*(6*a**2*d**2 - 8*a*b*c*d + 3*b**2*c**2)*log(x + (-a**4*b*c**2*d**3*(6*a**2*d**2 - 8*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**3 + a**4*c*d**3 + 4*a**3*b**2*c**3*d**2*(6*a**2*d**2 - 8*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**3 + 6*a**3*b*c**2*d**2 - 6*a**2*b**3*c**4*d*(6*a**2*d**2 - 8*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**3 - 8*a**2*b**2*c**3*d + 4*a*b**4*c**5*(6*a**2*d**2 - 8*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**3 + 3*a*b**3*c**4 - b**5*c**6*(6*a**2*d**2 - 8*a*b*c*d + 3*b**2*c**2)/(d*(a*d - b*c)**3))/(a**4*d**4 + 6*a**2*b**2*c**2*d**2 - 8*a*b**3*c**3*d + 3*b**4*c**4))/(d**4*(a*d - b*c)**3) + (7*a*c**4*d - 5*b*c**5 + x*(8*a*c**3*d**2 - 6*b*c**4*d))/(2*a**2*c**2*d**6 - 4*a*b*c**3*d**5 + 2*b**2*c**4*d**4 + x**2*(2*a**2*d**8 - 4*a*b*c*d**7 + 2*b**2*c**2*d**6) + x*(4*a**2*c*d**7 - 8*a*b*c**2*d**6 + 4*b**2*c**3*d**5)) + x/(b*d**3)","B",0
253,1,653,0,6.769526," ","integrate(x**3/(b*x+a)/(d*x+c)**3,x)","\frac{a^{3} \log{\left(x + \frac{\frac{a^{7} d^{6}}{b \left(a d - b c\right)^{3}} - \frac{4 a^{6} c d^{5}}{\left(a d - b c\right)^{3}} + \frac{6 a^{5} b c^{2} d^{4}}{\left(a d - b c\right)^{3}} - \frac{4 a^{4} b^{2} c^{3} d^{3}}{\left(a d - b c\right)^{3}} + \frac{a^{3} b^{3} c^{4} d^{2}}{\left(a d - b c\right)^{3}} + 4 a^{3} c d^{2} - 3 a^{2} b c^{2} d + a b^{2} c^{3}}{a^{3} d^{3} + 3 a^{2} b c d^{2} - 3 a b^{2} c^{2} d + b^{3} c^{3}} \right)}}{b \left(a d - b c\right)^{3}} - \frac{c \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{- \frac{a^{4} c d^{3} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b c^{2} d^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + 4 a^{3} c d^{2} - \frac{6 a^{2} b^{2} c^{3} d \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} - 3 a^{2} b c^{2} d + \frac{4 a b^{3} c^{4} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{3}} + a b^{2} c^{3} - \frac{b^{4} c^{5} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{d \left(a d - b c\right)^{3}}}{a^{3} d^{3} + 3 a^{2} b c d^{2} - 3 a b^{2} c^{2} d + b^{3} c^{3}} \right)}}{d^{3} \left(a d - b c\right)^{3}} + \frac{- 5 a c^{3} d + 3 b c^{4} + x \left(- 6 a c^{2} d^{2} + 4 b c^{3} d\right)}{2 a^{2} c^{2} d^{5} - 4 a b c^{3} d^{4} + 2 b^{2} c^{4} d^{3} + x^{2} \left(2 a^{2} d^{7} - 4 a b c d^{6} + 2 b^{2} c^{2} d^{5}\right) + x \left(4 a^{2} c d^{6} - 8 a b c^{2} d^{5} + 4 b^{2} c^{3} d^{4}\right)}"," ",0,"a**3*log(x + (a**7*d**6/(b*(a*d - b*c)**3) - 4*a**6*c*d**5/(a*d - b*c)**3 + 6*a**5*b*c**2*d**4/(a*d - b*c)**3 - 4*a**4*b**2*c**3*d**3/(a*d - b*c)**3 + a**3*b**3*c**4*d**2/(a*d - b*c)**3 + 4*a**3*c*d**2 - 3*a**2*b*c**2*d + a*b**2*c**3)/(a**3*d**3 + 3*a**2*b*c*d**2 - 3*a*b**2*c**2*d + b**3*c**3))/(b*(a*d - b*c)**3) - c*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)*log(x + (-a**4*c*d**3*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/(a*d - b*c)**3 + 4*a**3*b*c**2*d**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/(a*d - b*c)**3 + 4*a**3*c*d**2 - 6*a**2*b**2*c**3*d*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/(a*d - b*c)**3 - 3*a**2*b*c**2*d + 4*a*b**3*c**4*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/(a*d - b*c)**3 + a*b**2*c**3 - b**4*c**5*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/(d*(a*d - b*c)**3))/(a**3*d**3 + 3*a**2*b*c*d**2 - 3*a*b**2*c**2*d + b**3*c**3))/(d**3*(a*d - b*c)**3) + (-5*a*c**3*d + 3*b*c**4 + x*(-6*a*c**2*d**2 + 4*b*c**3*d))/(2*a**2*c**2*d**5 - 4*a*b*c**3*d**4 + 2*b**2*c**4*d**3 + x**2*(2*a**2*d**7 - 4*a*b*c*d**6 + 2*b**2*c**2*d**5) + x*(4*a**2*c*d**6 - 8*a*b*c**2*d**5 + 4*b**2*c**3*d**4))","B",0
254,1,408,0,1.638113," ","integrate(x**2/(b*x+a)/(d*x+c)**3,x)","\frac{a^{2} \log{\left(x + \frac{- \frac{a^{6} d^{4}}{\left(a d - b c\right)^{3}} + \frac{4 a^{5} b c d^{3}}{\left(a d - b c\right)^{3}} - \frac{6 a^{4} b^{2} c^{2} d^{2}}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b^{3} c^{3} d}{\left(a d - b c\right)^{3}} + a^{3} d - \frac{a^{2} b^{4} c^{4}}{\left(a d - b c\right)^{3}} + a^{2} b c}{2 a^{2} b d} \right)}}{\left(a d - b c\right)^{3}} - \frac{a^{2} \log{\left(x + \frac{\frac{a^{6} d^{4}}{\left(a d - b c\right)^{3}} - \frac{4 a^{5} b c d^{3}}{\left(a d - b c\right)^{3}} + \frac{6 a^{4} b^{2} c^{2} d^{2}}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b^{3} c^{3} d}{\left(a d - b c\right)^{3}} + a^{3} d + \frac{a^{2} b^{4} c^{4}}{\left(a d - b c\right)^{3}} + a^{2} b c}{2 a^{2} b d} \right)}}{\left(a d - b c\right)^{3}} + \frac{3 a c^{2} d - b c^{3} + x \left(4 a c d^{2} - 2 b c^{2} d\right)}{2 a^{2} c^{2} d^{4} - 4 a b c^{3} d^{3} + 2 b^{2} c^{4} d^{2} + x^{2} \left(2 a^{2} d^{6} - 4 a b c d^{5} + 2 b^{2} c^{2} d^{4}\right) + x \left(4 a^{2} c d^{5} - 8 a b c^{2} d^{4} + 4 b^{2} c^{3} d^{3}\right)}"," ",0,"a**2*log(x + (-a**6*d**4/(a*d - b*c)**3 + 4*a**5*b*c*d**3/(a*d - b*c)**3 - 6*a**4*b**2*c**2*d**2/(a*d - b*c)**3 + 4*a**3*b**3*c**3*d/(a*d - b*c)**3 + a**3*d - a**2*b**4*c**4/(a*d - b*c)**3 + a**2*b*c)/(2*a**2*b*d))/(a*d - b*c)**3 - a**2*log(x + (a**6*d**4/(a*d - b*c)**3 - 4*a**5*b*c*d**3/(a*d - b*c)**3 + 6*a**4*b**2*c**2*d**2/(a*d - b*c)**3 - 4*a**3*b**3*c**3*d/(a*d - b*c)**3 + a**3*d + a**2*b**4*c**4/(a*d - b*c)**3 + a**2*b*c)/(2*a**2*b*d))/(a*d - b*c)**3 + (3*a*c**2*d - b*c**3 + x*(4*a*c*d**2 - 2*b*c**2*d))/(2*a**2*c**2*d**4 - 4*a*b*c**3*d**3 + 2*b**2*c**4*d**2 + x**2*(2*a**2*d**6 - 4*a*b*c*d**5 + 2*b**2*c**2*d**4) + x*(4*a**2*c*d**5 - 8*a*b*c**2*d**4 + 4*b**2*c**3*d**3))","B",0
255,1,401,0,1.876942," ","integrate(x/(b*x+a)/(d*x+c)**3,x)","- \frac{a b \log{\left(x + \frac{- \frac{a^{5} b d^{4}}{\left(a d - b c\right)^{3}} + \frac{4 a^{4} b^{2} c d^{3}}{\left(a d - b c\right)^{3}} - \frac{6 a^{3} b^{3} c^{2} d^{2}}{\left(a d - b c\right)^{3}} + \frac{4 a^{2} b^{4} c^{3} d}{\left(a d - b c\right)^{3}} + a^{2} b d - \frac{a b^{5} c^{4}}{\left(a d - b c\right)^{3}} + a b^{2} c}{2 a b^{2} d} \right)}}{\left(a d - b c\right)^{3}} + \frac{a b \log{\left(x + \frac{\frac{a^{5} b d^{4}}{\left(a d - b c\right)^{3}} - \frac{4 a^{4} b^{2} c d^{3}}{\left(a d - b c\right)^{3}} + \frac{6 a^{3} b^{3} c^{2} d^{2}}{\left(a d - b c\right)^{3}} - \frac{4 a^{2} b^{4} c^{3} d}{\left(a d - b c\right)^{3}} + a^{2} b d + \frac{a b^{5} c^{4}}{\left(a d - b c\right)^{3}} + a b^{2} c}{2 a b^{2} d} \right)}}{\left(a d - b c\right)^{3}} + \frac{- a c d - 2 a d^{2} x - b c^{2}}{2 a^{2} c^{2} d^{3} - 4 a b c^{3} d^{2} + 2 b^{2} c^{4} d + x^{2} \left(2 a^{2} d^{5} - 4 a b c d^{4} + 2 b^{2} c^{2} d^{3}\right) + x \left(4 a^{2} c d^{4} - 8 a b c^{2} d^{3} + 4 b^{2} c^{3} d^{2}\right)}"," ",0,"-a*b*log(x + (-a**5*b*d**4/(a*d - b*c)**3 + 4*a**4*b**2*c*d**3/(a*d - b*c)**3 - 6*a**3*b**3*c**2*d**2/(a*d - b*c)**3 + 4*a**2*b**4*c**3*d/(a*d - b*c)**3 + a**2*b*d - a*b**5*c**4/(a*d - b*c)**3 + a*b**2*c)/(2*a*b**2*d))/(a*d - b*c)**3 + a*b*log(x + (a**5*b*d**4/(a*d - b*c)**3 - 4*a**4*b**2*c*d**3/(a*d - b*c)**3 + 6*a**3*b**3*c**2*d**2/(a*d - b*c)**3 - 4*a**2*b**4*c**3*d/(a*d - b*c)**3 + a**2*b*d + a*b**5*c**4/(a*d - b*c)**3 + a*b**2*c)/(2*a*b**2*d))/(a*d - b*c)**3 + (-a*c*d - 2*a*d**2*x - b*c**2)/(2*a**2*c**2*d**3 - 4*a*b*c**3*d**2 + 2*b**2*c**4*d + x**2*(2*a**2*d**5 - 4*a*b*c*d**4 + 2*b**2*c**2*d**3) + x*(4*a**2*c*d**4 - 8*a*b*c**2*d**3 + 4*b**2*c**3*d**2))","B",0
256,1,381,0,1.570295," ","integrate(1/(b*x+a)/(d*x+c)**3,x)","\frac{b^{2} \log{\left(x + \frac{- \frac{a^{4} b^{2} d^{4}}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b^{3} c d^{3}}{\left(a d - b c\right)^{3}} - \frac{6 a^{2} b^{4} c^{2} d^{2}}{\left(a d - b c\right)^{3}} + \frac{4 a b^{5} c^{3} d}{\left(a d - b c\right)^{3}} + a b^{2} d - \frac{b^{6} c^{4}}{\left(a d - b c\right)^{3}} + b^{3} c}{2 b^{3} d} \right)}}{\left(a d - b c\right)^{3}} - \frac{b^{2} \log{\left(x + \frac{\frac{a^{4} b^{2} d^{4}}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b^{3} c d^{3}}{\left(a d - b c\right)^{3}} + \frac{6 a^{2} b^{4} c^{2} d^{2}}{\left(a d - b c\right)^{3}} - \frac{4 a b^{5} c^{3} d}{\left(a d - b c\right)^{3}} + a b^{2} d + \frac{b^{6} c^{4}}{\left(a d - b c\right)^{3}} + b^{3} c}{2 b^{3} d} \right)}}{\left(a d - b c\right)^{3}} + \frac{- a d + 3 b c + 2 b d x}{2 a^{2} c^{2} d^{2} - 4 a b c^{3} d + 2 b^{2} c^{4} + x^{2} \left(2 a^{2} d^{4} - 4 a b c d^{3} + 2 b^{2} c^{2} d^{2}\right) + x \left(4 a^{2} c d^{3} - 8 a b c^{2} d^{2} + 4 b^{2} c^{3} d\right)}"," ",0,"b**2*log(x + (-a**4*b**2*d**4/(a*d - b*c)**3 + 4*a**3*b**3*c*d**3/(a*d - b*c)**3 - 6*a**2*b**4*c**2*d**2/(a*d - b*c)**3 + 4*a*b**5*c**3*d/(a*d - b*c)**3 + a*b**2*d - b**6*c**4/(a*d - b*c)**3 + b**3*c)/(2*b**3*d))/(a*d - b*c)**3 - b**2*log(x + (a**4*b**2*d**4/(a*d - b*c)**3 - 4*a**3*b**3*c*d**3/(a*d - b*c)**3 + 6*a**2*b**4*c**2*d**2/(a*d - b*c)**3 - 4*a*b**5*c**3*d/(a*d - b*c)**3 + a*b**2*d + b**6*c**4/(a*d - b*c)**3 + b**3*c)/(2*b**3*d))/(a*d - b*c)**3 + (-a*d + 3*b*c + 2*b*d*x)/(2*a**2*c**2*d**2 - 4*a*b*c**3*d + 2*b**2*c**4 + x**2*(2*a**2*d**4 - 4*a*b*c*d**3 + 2*b**2*c**2*d**2) + x*(4*a**2*c*d**3 - 8*a*b*c**2*d**2 + 4*b**2*c**3*d))","B",0
257,-1,0,0,0.000000," ","integrate(1/x/(b*x+a)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(1/x**2/(b*x+a)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,1,209,0,1.467961," ","integrate(x**4*(d*x+c)**2/(b*x+a)**2,x)","- \frac{2 a^{3} \left(a d - b c\right) \left(3 a d - 2 b c\right) \log{\left(a + b x \right)}}{b^{7}} + x^{4} \left(- \frac{a d^{2}}{2 b^{3}} + \frac{c d}{2 b^{2}}\right) + x^{3} \left(\frac{a^{2} d^{2}}{b^{4}} - \frac{4 a c d}{3 b^{3}} + \frac{c^{2}}{3 b^{2}}\right) + x^{2} \left(- \frac{2 a^{3} d^{2}}{b^{5}} + \frac{3 a^{2} c d}{b^{4}} - \frac{a c^{2}}{b^{3}}\right) + x \left(\frac{5 a^{4} d^{2}}{b^{6}} - \frac{8 a^{3} c d}{b^{5}} + \frac{3 a^{2} c^{2}}{b^{4}}\right) + \frac{- a^{6} d^{2} + 2 a^{5} b c d - a^{4} b^{2} c^{2}}{a b^{7} + b^{8} x} + \frac{d^{2} x^{5}}{5 b^{2}}"," ",0,"-2*a**3*(a*d - b*c)*(3*a*d - 2*b*c)*log(a + b*x)/b**7 + x**4*(-a*d**2/(2*b**3) + c*d/(2*b**2)) + x**3*(a**2*d**2/b**4 - 4*a*c*d/(3*b**3) + c**2/(3*b**2)) + x**2*(-2*a**3*d**2/b**5 + 3*a**2*c*d/b**4 - a*c**2/b**3) + x*(5*a**4*d**2/b**6 - 8*a**3*c*d/b**5 + 3*a**2*c**2/b**4) + (-a**6*d**2 + 2*a**5*b*c*d - a**4*b**2*c**2)/(a*b**7 + b**8*x) + d**2*x**5/(5*b**2)","A",0
260,1,175,0,0.654037," ","integrate(x**3*(d*x+c)**2/(b*x+a)**2,x)","\frac{a^{2} \left(a d - b c\right) \left(5 a d - 3 b c\right) \log{\left(a + b x \right)}}{b^{6}} + x^{3} \left(- \frac{2 a d^{2}}{3 b^{3}} + \frac{2 c d}{3 b^{2}}\right) + x^{2} \left(\frac{3 a^{2} d^{2}}{2 b^{4}} - \frac{2 a c d}{b^{3}} + \frac{c^{2}}{2 b^{2}}\right) + x \left(- \frac{4 a^{3} d^{2}}{b^{5}} + \frac{6 a^{2} c d}{b^{4}} - \frac{2 a c^{2}}{b^{3}}\right) + \frac{a^{5} d^{2} - 2 a^{4} b c d + a^{3} b^{2} c^{2}}{a b^{6} + b^{7} x} + \frac{d^{2} x^{4}}{4 b^{2}}"," ",0,"a**2*(a*d - b*c)*(5*a*d - 3*b*c)*log(a + b*x)/b**6 + x**3*(-2*a*d**2/(3*b**3) + 2*c*d/(3*b**2)) + x**2*(3*a**2*d**2/(2*b**4) - 2*a*c*d/b**3 + c**2/(2*b**2)) + x*(-4*a**3*d**2/b**5 + 6*a**2*c*d/b**4 - 2*a*c**2/b**3) + (a**5*d**2 - 2*a**4*b*c*d + a**3*b**2*c**2)/(a*b**6 + b**7*x) + d**2*x**4/(4*b**2)","A",0
261,1,126,0,0.861735," ","integrate(x**2*(d*x+c)**2/(b*x+a)**2,x)","- \frac{2 a \left(a d - b c\right) \left(2 a d - b c\right) \log{\left(a + b x \right)}}{b^{5}} + x^{2} \left(- \frac{a d^{2}}{b^{3}} + \frac{c d}{b^{2}}\right) + x \left(\frac{3 a^{2} d^{2}}{b^{4}} - \frac{4 a c d}{b^{3}} + \frac{c^{2}}{b^{2}}\right) + \frac{- a^{4} d^{2} + 2 a^{3} b c d - a^{2} b^{2} c^{2}}{a b^{5} + b^{6} x} + \frac{d^{2} x^{3}}{3 b^{2}}"," ",0,"-2*a*(a*d - b*c)*(2*a*d - b*c)*log(a + b*x)/b**5 + x**2*(-a*d**2/b**3 + c*d/b**2) + x*(3*a**2*d**2/b**4 - 4*a*c*d/b**3 + c**2/b**2) + (-a**4*d**2 + 2*a**3*b*c*d - a**2*b**2*c**2)/(a*b**5 + b**6*x) + d**2*x**3/(3*b**2)","A",0
262,1,92,0,0.488595," ","integrate(x*(d*x+c)**2/(b*x+a)**2,x)","x \left(- \frac{2 a d^{2}}{b^{3}} + \frac{2 c d}{b^{2}}\right) + \frac{a^{3} d^{2} - 2 a^{2} b c d + a b^{2} c^{2}}{a b^{4} + b^{5} x} + \frac{d^{2} x^{2}}{2 b^{2}} + \frac{\left(a d - b c\right) \left(3 a d - b c\right) \log{\left(a + b x \right)}}{b^{4}}"," ",0,"x*(-2*a*d**2/b**3 + 2*c*d/b**2) + (a**3*d**2 - 2*a**2*b*c*d + a*b**2*c**2)/(a*b**4 + b**5*x) + d**2*x**2/(2*b**2) + (a*d - b*c)*(3*a*d - b*c)*log(a + b*x)/b**4","A",0
263,1,60,0,0.632601," ","integrate((d*x+c)**2/(b*x+a)**2,x)","\frac{- a^{2} d^{2} + 2 a b c d - b^{2} c^{2}}{a b^{3} + b^{4} x} + \frac{d^{2} x}{b^{2}} - \frac{2 d \left(a d - b c\right) \log{\left(a + b x \right)}}{b^{3}}"," ",0,"(-a**2*d**2 + 2*a*b*c*d - b**2*c**2)/(a*b**3 + b**4*x) + d**2*x/b**2 - 2*d*(a*d - b*c)*log(a + b*x)/b**3","A",0
264,1,107,0,0.877709," ","integrate((d*x+c)**2/x/(b*x+a)**2,x)","\frac{a^{2} d^{2} - 2 a b c d + b^{2} c^{2}}{a^{2} b^{2} + a b^{3} x} + \frac{c^{2} \log{\left(x \right)}}{a^{2}} + \frac{\left(a d - b c\right) \left(a d + b c\right) \log{\left(x + \frac{- a b c^{2} + \frac{a \left(a d - b c\right) \left(a d + b c\right)}{b}}{a^{2} d^{2} - 2 b^{2} c^{2}} \right)}}{a^{2} b^{2}}"," ",0,"(a**2*d**2 - 2*a*b*c*d + b**2*c**2)/(a**2*b**2 + a*b**3*x) + c**2*log(x)/a**2 + (a*d - b*c)*(a*d + b*c)*log(x + (-a*b*c**2 + a*(a*d - b*c)*(a*d + b*c)/b)/(a**2*d**2 - 2*b**2*c**2))/(a**2*b**2)","B",0
265,1,173,0,0.838945," ","integrate((d*x+c)**2/x**2/(b*x+a)**2,x)","\frac{- a b c^{2} + x \left(- a^{2} d^{2} + 2 a b c d - 2 b^{2} c^{2}\right)}{a^{3} b x + a^{2} b^{2} x^{2}} + \frac{2 c \left(a d - b c\right) \log{\left(x + \frac{2 a^{2} c d - 2 a b c^{2} - 2 a c \left(a d - b c\right)}{4 a b c d - 4 b^{2} c^{2}} \right)}}{a^{3}} - \frac{2 c \left(a d - b c\right) \log{\left(x + \frac{2 a^{2} c d - 2 a b c^{2} + 2 a c \left(a d - b c\right)}{4 a b c d - 4 b^{2} c^{2}} \right)}}{a^{3}}"," ",0,"(-a*b*c**2 + x*(-a**2*d**2 + 2*a*b*c*d - 2*b**2*c**2))/(a**3*b*x + a**2*b**2*x**2) + 2*c*(a*d - b*c)*log(x + (2*a**2*c*d - 2*a*b*c**2 - 2*a*c*(a*d - b*c))/(4*a*b*c*d - 4*b**2*c**2))/a**3 - 2*c*(a*d - b*c)*log(x + (2*a**2*c*d - 2*a*b*c**2 + 2*a*c*(a*d - b*c))/(4*a*b*c*d - 4*b**2*c**2))/a**3","B",0
266,1,262,0,1.000562," ","integrate((d*x+c)**2/x**3/(b*x+a)**2,x)","\frac{- a^{2} c^{2} + x^{2} \left(2 a^{2} d^{2} - 8 a b c d + 6 b^{2} c^{2}\right) + x \left(- 4 a^{2} c d + 3 a b c^{2}\right)}{2 a^{4} x^{2} + 2 a^{3} b x^{3}} + \frac{\left(a d - 3 b c\right) \left(a d - b c\right) \log{\left(x + \frac{a^{3} d^{2} - 4 a^{2} b c d + 3 a b^{2} c^{2} - a \left(a d - 3 b c\right) \left(a d - b c\right)}{2 a^{2} b d^{2} - 8 a b^{2} c d + 6 b^{3} c^{2}} \right)}}{a^{4}} - \frac{\left(a d - 3 b c\right) \left(a d - b c\right) \log{\left(x + \frac{a^{3} d^{2} - 4 a^{2} b c d + 3 a b^{2} c^{2} + a \left(a d - 3 b c\right) \left(a d - b c\right)}{2 a^{2} b d^{2} - 8 a b^{2} c d + 6 b^{3} c^{2}} \right)}}{a^{4}}"," ",0,"(-a**2*c**2 + x**2*(2*a**2*d**2 - 8*a*b*c*d + 6*b**2*c**2) + x*(-4*a**2*c*d + 3*a*b*c**2))/(2*a**4*x**2 + 2*a**3*b*x**3) + (a*d - 3*b*c)*(a*d - b*c)*log(x + (a**3*d**2 - 4*a**2*b*c*d + 3*a*b**2*c**2 - a*(a*d - 3*b*c)*(a*d - b*c))/(2*a**2*b*d**2 - 8*a*b**2*c*d + 6*b**3*c**2))/a**4 - (a*d - 3*b*c)*(a*d - b*c)*log(x + (a**3*d**2 - 4*a**2*b*c*d + 3*a*b**2*c**2 + a*(a*d - 3*b*c)*(a*d - b*c))/(2*a**2*b*d**2 - 8*a*b**2*c*d + 6*b**3*c**2))/a**4","B",0
267,1,326,0,1.177487," ","integrate((d*x+c)**2/x**4/(b*x+a)**2,x)","\frac{- a^{3} c^{2} + x^{3} \left(- 6 a^{2} b d^{2} + 18 a b^{2} c d - 12 b^{3} c^{2}\right) + x^{2} \left(- 3 a^{3} d^{2} + 9 a^{2} b c d - 6 a b^{2} c^{2}\right) + x \left(- 3 a^{3} c d + 2 a^{2} b c^{2}\right)}{3 a^{5} x^{3} + 3 a^{4} b x^{4}} - \frac{2 b \left(a d - 2 b c\right) \left(a d - b c\right) \log{\left(x + \frac{2 a^{3} b d^{2} - 6 a^{2} b^{2} c d + 4 a b^{3} c^{2} - 2 a b \left(a d - 2 b c\right) \left(a d - b c\right)}{4 a^{2} b^{2} d^{2} - 12 a b^{3} c d + 8 b^{4} c^{2}} \right)}}{a^{5}} + \frac{2 b \left(a d - 2 b c\right) \left(a d - b c\right) \log{\left(x + \frac{2 a^{3} b d^{2} - 6 a^{2} b^{2} c d + 4 a b^{3} c^{2} + 2 a b \left(a d - 2 b c\right) \left(a d - b c\right)}{4 a^{2} b^{2} d^{2} - 12 a b^{3} c d + 8 b^{4} c^{2}} \right)}}{a^{5}}"," ",0,"(-a**3*c**2 + x**3*(-6*a**2*b*d**2 + 18*a*b**2*c*d - 12*b**3*c**2) + x**2*(-3*a**3*d**2 + 9*a**2*b*c*d - 6*a*b**2*c**2) + x*(-3*a**3*c*d + 2*a**2*b*c**2))/(3*a**5*x**3 + 3*a**4*b*x**4) - 2*b*(a*d - 2*b*c)*(a*d - b*c)*log(x + (2*a**3*b*d**2 - 6*a**2*b**2*c*d + 4*a*b**3*c**2 - 2*a*b*(a*d - 2*b*c)*(a*d - b*c))/(4*a**2*b**2*d**2 - 12*a*b**3*c*d + 8*b**4*c**2))/a**5 + 2*b*(a*d - 2*b*c)*(a*d - b*c)*log(x + (2*a**3*b*d**2 - 6*a**2*b**2*c*d + 4*a*b**3*c**2 + 2*a*b*(a*d - 2*b*c)*(a*d - b*c))/(4*a**2*b**2*d**2 - 12*a*b**3*c*d + 8*b**4*c**2))/a**5","B",0
268,1,377,0,2.551904," ","integrate((d*x+c)**2/x**5/(b*x+a)**2,x)","\frac{- 3 a^{4} c^{2} + x^{4} \left(36 a^{2} b^{2} d^{2} - 96 a b^{3} c d + 60 b^{4} c^{2}\right) + x^{3} \left(18 a^{3} b d^{2} - 48 a^{2} b^{2} c d + 30 a b^{3} c^{2}\right) + x^{2} \left(- 6 a^{4} d^{2} + 16 a^{3} b c d - 10 a^{2} b^{2} c^{2}\right) + x \left(- 8 a^{4} c d + 5 a^{3} b c^{2}\right)}{12 a^{6} x^{4} + 12 a^{5} b x^{5}} + \frac{b^{2} \left(a d - b c\right) \left(3 a d - 5 b c\right) \log{\left(x + \frac{3 a^{3} b^{2} d^{2} - 8 a^{2} b^{3} c d + 5 a b^{4} c^{2} - a b^{2} \left(a d - b c\right) \left(3 a d - 5 b c\right)}{6 a^{2} b^{3} d^{2} - 16 a b^{4} c d + 10 b^{5} c^{2}} \right)}}{a^{6}} - \frac{b^{2} \left(a d - b c\right) \left(3 a d - 5 b c\right) \log{\left(x + \frac{3 a^{3} b^{2} d^{2} - 8 a^{2} b^{3} c d + 5 a b^{4} c^{2} + a b^{2} \left(a d - b c\right) \left(3 a d - 5 b c\right)}{6 a^{2} b^{3} d^{2} - 16 a b^{4} c d + 10 b^{5} c^{2}} \right)}}{a^{6}}"," ",0,"(-3*a**4*c**2 + x**4*(36*a**2*b**2*d**2 - 96*a*b**3*c*d + 60*b**4*c**2) + x**3*(18*a**3*b*d**2 - 48*a**2*b**2*c*d + 30*a*b**3*c**2) + x**2*(-6*a**4*d**2 + 16*a**3*b*c*d - 10*a**2*b**2*c**2) + x*(-8*a**4*c*d + 5*a**3*b*c**2))/(12*a**6*x**4 + 12*a**5*b*x**5) + b**2*(a*d - b*c)*(3*a*d - 5*b*c)*log(x + (3*a**3*b**2*d**2 - 8*a**2*b**3*c*d + 5*a*b**4*c**2 - a*b**2*(a*d - b*c)*(3*a*d - 5*b*c))/(6*a**2*b**3*d**2 - 16*a*b**4*c*d + 10*b**5*c**2))/a**6 - b**2*(a*d - b*c)*(3*a*d - 5*b*c)*log(x + (3*a**3*b**2*d**2 - 8*a**2*b**3*c*d + 5*a*b**4*c**2 + a*b**2*(a*d - b*c)*(3*a*d - 5*b*c))/(6*a**2*b**3*d**2 - 16*a*b**4*c*d + 10*b**5*c**2))/a**6","B",0
269,1,323,0,1.224926," ","integrate(x**4*(d*x+c)**3/(b*x+a)**2,x)","\frac{a^{3} \left(a d - b c\right)^{2} \left(7 a d - 4 b c\right) \log{\left(a + b x \right)}}{b^{8}} + x^{5} \left(- \frac{2 a d^{3}}{5 b^{3}} + \frac{3 c d^{2}}{5 b^{2}}\right) + x^{4} \left(\frac{3 a^{2} d^{3}}{4 b^{4}} - \frac{3 a c d^{2}}{2 b^{3}} + \frac{3 c^{2} d}{4 b^{2}}\right) + x^{3} \left(- \frac{4 a^{3} d^{3}}{3 b^{5}} + \frac{3 a^{2} c d^{2}}{b^{4}} - \frac{2 a c^{2} d}{b^{3}} + \frac{c^{3}}{3 b^{2}}\right) + x^{2} \left(\frac{5 a^{4} d^{3}}{2 b^{6}} - \frac{6 a^{3} c d^{2}}{b^{5}} + \frac{9 a^{2} c^{2} d}{2 b^{4}} - \frac{a c^{3}}{b^{3}}\right) + x \left(- \frac{6 a^{5} d^{3}}{b^{7}} + \frac{15 a^{4} c d^{2}}{b^{6}} - \frac{12 a^{3} c^{2} d}{b^{5}} + \frac{3 a^{2} c^{3}}{b^{4}}\right) + \frac{a^{7} d^{3} - 3 a^{6} b c d^{2} + 3 a^{5} b^{2} c^{2} d - a^{4} b^{3} c^{3}}{a b^{8} + b^{9} x} + \frac{d^{3} x^{6}}{6 b^{2}}"," ",0,"a**3*(a*d - b*c)**2*(7*a*d - 4*b*c)*log(a + b*x)/b**8 + x**5*(-2*a*d**3/(5*b**3) + 3*c*d**2/(5*b**2)) + x**4*(3*a**2*d**3/(4*b**4) - 3*a*c*d**2/(2*b**3) + 3*c**2*d/(4*b**2)) + x**3*(-4*a**3*d**3/(3*b**5) + 3*a**2*c*d**2/b**4 - 2*a*c**2*d/b**3 + c**3/(3*b**2)) + x**2*(5*a**4*d**3/(2*b**6) - 6*a**3*c*d**2/b**5 + 9*a**2*c**2*d/(2*b**4) - a*c**3/b**3) + x*(-6*a**5*d**3/b**7 + 15*a**4*c*d**2/b**6 - 12*a**3*c**2*d/b**5 + 3*a**2*c**3/b**4) + (a**7*d**3 - 3*a**6*b*c*d**2 + 3*a**5*b**2*c**2*d - a**4*b**3*c**3)/(a*b**8 + b**9*x) + d**3*x**6/(6*b**2)","A",0
270,1,257,0,0.929453," ","integrate(x**3*(d*x+c)**3/(b*x+a)**2,x)","- \frac{3 a^{2} \left(a d - b c\right)^{2} \left(2 a d - b c\right) \log{\left(a + b x \right)}}{b^{7}} + x^{4} \left(- \frac{a d^{3}}{2 b^{3}} + \frac{3 c d^{2}}{4 b^{2}}\right) + x^{3} \left(\frac{a^{2} d^{3}}{b^{4}} - \frac{2 a c d^{2}}{b^{3}} + \frac{c^{2} d}{b^{2}}\right) + x^{2} \left(- \frac{2 a^{3} d^{3}}{b^{5}} + \frac{9 a^{2} c d^{2}}{2 b^{4}} - \frac{3 a c^{2} d}{b^{3}} + \frac{c^{3}}{2 b^{2}}\right) + x \left(\frac{5 a^{4} d^{3}}{b^{6}} - \frac{12 a^{3} c d^{2}}{b^{5}} + \frac{9 a^{2} c^{2} d}{b^{4}} - \frac{2 a c^{3}}{b^{3}}\right) + \frac{- a^{6} d^{3} + 3 a^{5} b c d^{2} - 3 a^{4} b^{2} c^{2} d + a^{3} b^{3} c^{3}}{a b^{7} + b^{8} x} + \frac{d^{3} x^{5}}{5 b^{2}}"," ",0,"-3*a**2*(a*d - b*c)**2*(2*a*d - b*c)*log(a + b*x)/b**7 + x**4*(-a*d**3/(2*b**3) + 3*c*d**2/(4*b**2)) + x**3*(a**2*d**3/b**4 - 2*a*c*d**2/b**3 + c**2*d/b**2) + x**2*(-2*a**3*d**3/b**5 + 9*a**2*c*d**2/(2*b**4) - 3*a*c**2*d/b**3 + c**3/(2*b**2)) + x*(5*a**4*d**3/b**6 - 12*a**3*c*d**2/b**5 + 9*a**2*c**2*d/b**4 - 2*a*c**3/b**3) + (-a**6*d**3 + 3*a**5*b*c*d**2 - 3*a**4*b**2*c**2*d + a**3*b**3*c**3)/(a*b**7 + b**8*x) + d**3*x**5/(5*b**2)","A",0
271,1,204,0,1.026684," ","integrate(x**2*(d*x+c)**3/(b*x+a)**2,x)","\frac{a \left(a d - b c\right)^{2} \left(5 a d - 2 b c\right) \log{\left(a + b x \right)}}{b^{6}} + x^{3} \left(- \frac{2 a d^{3}}{3 b^{3}} + \frac{c d^{2}}{b^{2}}\right) + x^{2} \left(\frac{3 a^{2} d^{3}}{2 b^{4}} - \frac{3 a c d^{2}}{b^{3}} + \frac{3 c^{2} d}{2 b^{2}}\right) + x \left(- \frac{4 a^{3} d^{3}}{b^{5}} + \frac{9 a^{2} c d^{2}}{b^{4}} - \frac{6 a c^{2} d}{b^{3}} + \frac{c^{3}}{b^{2}}\right) + \frac{a^{5} d^{3} - 3 a^{4} b c d^{2} + 3 a^{3} b^{2} c^{2} d - a^{2} b^{3} c^{3}}{a b^{6} + b^{7} x} + \frac{d^{3} x^{4}}{4 b^{2}}"," ",0,"a*(a*d - b*c)**2*(5*a*d - 2*b*c)*log(a + b*x)/b**6 + x**3*(-2*a*d**3/(3*b**3) + c*d**2/b**2) + x**2*(3*a**2*d**3/(2*b**4) - 3*a*c*d**2/b**3 + 3*c**2*d/(2*b**2)) + x*(-4*a**3*d**3/b**5 + 9*a**2*c*d**2/b**4 - 6*a*c**2*d/b**3 + c**3/b**2) + (a**5*d**3 - 3*a**4*b*c*d**2 + 3*a**3*b**2*c**2*d - a**2*b**3*c**3)/(a*b**6 + b**7*x) + d**3*x**4/(4*b**2)","A",0
272,1,148,0,0.715333," ","integrate(x*(d*x+c)**3/(b*x+a)**2,x)","x^{2} \left(- \frac{a d^{3}}{b^{3}} + \frac{3 c d^{2}}{2 b^{2}}\right) + x \left(\frac{3 a^{2} d^{3}}{b^{4}} - \frac{6 a c d^{2}}{b^{3}} + \frac{3 c^{2} d}{b^{2}}\right) + \frac{- a^{4} d^{3} + 3 a^{3} b c d^{2} - 3 a^{2} b^{2} c^{2} d + a b^{3} c^{3}}{a b^{5} + b^{6} x} + \frac{d^{3} x^{3}}{3 b^{2}} - \frac{\left(a d - b c\right)^{2} \left(4 a d - b c\right) \log{\left(a + b x \right)}}{b^{5}}"," ",0,"x**2*(-a*d**3/b**3 + 3*c*d**2/(2*b**2)) + x*(3*a**2*d**3/b**4 - 6*a*c*d**2/b**3 + 3*c**2*d/b**2) + (-a**4*d**3 + 3*a**3*b*c*d**2 - 3*a**2*b**2*c**2*d + a*b**3*c**3)/(a*b**5 + b**6*x) + d**3*x**3/(3*b**2) - (a*d - b*c)**2*(4*a*d - b*c)*log(a + b*x)/b**5","A",0
273,1,102,0,0.513943," ","integrate((d*x+c)**3/(b*x+a)**2,x)","x \left(- \frac{2 a d^{3}}{b^{3}} + \frac{3 c d^{2}}{b^{2}}\right) + \frac{a^{3} d^{3} - 3 a^{2} b c d^{2} + 3 a b^{2} c^{2} d - b^{3} c^{3}}{a b^{4} + b^{5} x} + \frac{d^{3} x^{2}}{2 b^{2}} + \frac{3 d \left(a d - b c\right)^{2} \log{\left(a + b x \right)}}{b^{4}}"," ",0,"x*(-2*a*d**3/b**3 + 3*c*d**2/b**2) + (a**3*d**3 - 3*a**2*b*c*d**2 + 3*a*b**2*c**2*d - b**3*c**3)/(a*b**4 + b**5*x) + d**3*x**2/(2*b**2) + 3*d*(a*d - b*c)**2*log(a + b*x)/b**4","A",0
274,1,153,0,1.468263," ","integrate((d*x+c)**3/x/(b*x+a)**2,x)","\frac{- a^{3} d^{3} + 3 a^{2} b c d^{2} - 3 a b^{2} c^{2} d + b^{3} c^{3}}{a^{2} b^{3} + a b^{4} x} + \frac{d^{3} x}{b^{2}} + \frac{c^{3} \log{\left(x \right)}}{a^{2}} - \frac{\left(a d - b c\right)^{2} \left(2 a d + b c\right) \log{\left(x + \frac{a b^{2} c^{3} + \frac{a \left(a d - b c\right)^{2} \left(2 a d + b c\right)}{b}}{2 a^{3} d^{3} - 3 a^{2} b c d^{2} + 2 b^{3} c^{3}} \right)}}{a^{2} b^{3}}"," ",0,"(-a**3*d**3 + 3*a**2*b*c*d**2 - 3*a*b**2*c**2*d + b**3*c**3)/(a**2*b**3 + a*b**4*x) + d**3*x/b**2 + c**3*log(x)/a**2 - (a*d - b*c)**2*(2*a*d + b*c)*log(x + (a*b**2*c**3 + a*(a*d - b*c)**2*(2*a*d + b*c)/b)/(2*a**3*d**3 - 3*a**2*b*c*d**2 + 2*b**3*c**3))/(a**2*b**3)","B",0
275,1,250,0,1.436858," ","integrate((d*x+c)**3/x**2/(b*x+a)**2,x)","\frac{- a b^{2} c^{3} + x \left(a^{3} d^{3} - 3 a^{2} b c d^{2} + 3 a b^{2} c^{2} d - 2 b^{3} c^{3}\right)}{a^{3} b^{2} x + a^{2} b^{3} x^{2}} + \frac{c^{2} \left(3 a d - 2 b c\right) \log{\left(x + \frac{- 3 a^{2} b c^{2} d + 2 a b^{2} c^{3} + a b c^{2} \left(3 a d - 2 b c\right)}{a^{3} d^{3} - 6 a b^{2} c^{2} d + 4 b^{3} c^{3}} \right)}}{a^{3}} + \frac{\left(a d - b c\right)^{2} \left(a d + 2 b c\right) \log{\left(x + \frac{- 3 a^{2} b c^{2} d + 2 a b^{2} c^{3} + \frac{a \left(a d - b c\right)^{2} \left(a d + 2 b c\right)}{b}}{a^{3} d^{3} - 6 a b^{2} c^{2} d + 4 b^{3} c^{3}} \right)}}{a^{3} b^{2}}"," ",0,"(-a*b**2*c**3 + x*(a**3*d**3 - 3*a**2*b*c*d**2 + 3*a*b**2*c**2*d - 2*b**3*c**3))/(a**3*b**2*x + a**2*b**3*x**2) + c**2*(3*a*d - 2*b*c)*log(x + (-3*a**2*b*c**2*d + 2*a*b**2*c**3 + a*b*c**2*(3*a*d - 2*b*c))/(a**3*d**3 - 6*a*b**2*c**2*d + 4*b**3*c**3))/a**3 + (a*d - b*c)**2*(a*d + 2*b*c)*log(x + (-3*a**2*b*c**2*d + 2*a*b**2*c**3 + a*(a*d - b*c)**2*(a*d + 2*b*c)/b)/(a**3*d**3 - 6*a*b**2*c**2*d + 4*b**3*c**3))/(a**3*b**2)","B",0
276,1,291,0,1.614611," ","integrate((d*x+c)**3/x**3/(b*x+a)**2,x)","\frac{- a^{2} b c^{3} + x^{2} \left(- 2 a^{3} d^{3} + 6 a^{2} b c d^{2} - 12 a b^{2} c^{2} d + 6 b^{3} c^{3}\right) + x \left(- 6 a^{2} b c^{2} d + 3 a b^{2} c^{3}\right)}{2 a^{4} b x^{2} + 2 a^{3} b^{2} x^{3}} + \frac{3 c \left(a d - b c\right)^{2} \log{\left(x + \frac{3 a^{3} c d^{2} - 6 a^{2} b c^{2} d + 3 a b^{2} c^{3} - 3 a c \left(a d - b c\right)^{2}}{6 a^{2} b c d^{2} - 12 a b^{2} c^{2} d + 6 b^{3} c^{3}} \right)}}{a^{4}} - \frac{3 c \left(a d - b c\right)^{2} \log{\left(x + \frac{3 a^{3} c d^{2} - 6 a^{2} b c^{2} d + 3 a b^{2} c^{3} + 3 a c \left(a d - b c\right)^{2}}{6 a^{2} b c d^{2} - 12 a b^{2} c^{2} d + 6 b^{3} c^{3}} \right)}}{a^{4}}"," ",0,"(-a**2*b*c**3 + x**2*(-2*a**3*d**3 + 6*a**2*b*c*d**2 - 12*a*b**2*c**2*d + 6*b**3*c**3) + x*(-6*a**2*b*c**2*d + 3*a*b**2*c**3))/(2*a**4*b*x**2 + 2*a**3*b**2*x**3) + 3*c*(a*d - b*c)**2*log(x + (3*a**3*c*d**2 - 6*a**2*b*c**2*d + 3*a*b**2*c**3 - 3*a*c*(a*d - b*c)**2)/(6*a**2*b*c*d**2 - 12*a*b**2*c**2*d + 6*b**3*c**3))/a**4 - 3*c*(a*d - b*c)**2*log(x + (3*a**3*c*d**2 - 6*a**2*b*c**2*d + 3*a*b**2*c**3 + 3*a*c*(a*d - b*c)**2)/(6*a**2*b*c*d**2 - 12*a*b**2*c**2*d + 6*b**3*c**3))/a**4","B",0
277,1,386,0,1.617500," ","integrate((d*x+c)**3/x**4/(b*x+a)**2,x)","\frac{- 2 a^{3} c^{3} + x^{3} \left(6 a^{3} d^{3} - 36 a^{2} b c d^{2} + 54 a b^{2} c^{2} d - 24 b^{3} c^{3}\right) + x^{2} \left(- 18 a^{3} c d^{2} + 27 a^{2} b c^{2} d - 12 a b^{2} c^{3}\right) + x \left(- 9 a^{3} c^{2} d + 4 a^{2} b c^{3}\right)}{6 a^{5} x^{3} + 6 a^{4} b x^{4}} + \frac{\left(a d - 4 b c\right) \left(a d - b c\right)^{2} \log{\left(x + \frac{a^{4} d^{3} - 6 a^{3} b c d^{2} + 9 a^{2} b^{2} c^{2} d - 4 a b^{3} c^{3} - a \left(a d - 4 b c\right) \left(a d - b c\right)^{2}}{2 a^{3} b d^{3} - 12 a^{2} b^{2} c d^{2} + 18 a b^{3} c^{2} d - 8 b^{4} c^{3}} \right)}}{a^{5}} - \frac{\left(a d - 4 b c\right) \left(a d - b c\right)^{2} \log{\left(x + \frac{a^{4} d^{3} - 6 a^{3} b c d^{2} + 9 a^{2} b^{2} c^{2} d - 4 a b^{3} c^{3} + a \left(a d - 4 b c\right) \left(a d - b c\right)^{2}}{2 a^{3} b d^{3} - 12 a^{2} b^{2} c d^{2} + 18 a b^{3} c^{2} d - 8 b^{4} c^{3}} \right)}}{a^{5}}"," ",0,"(-2*a**3*c**3 + x**3*(6*a**3*d**3 - 36*a**2*b*c*d**2 + 54*a*b**2*c**2*d - 24*b**3*c**3) + x**2*(-18*a**3*c*d**2 + 27*a**2*b*c**2*d - 12*a*b**2*c**3) + x*(-9*a**3*c**2*d + 4*a**2*b*c**3))/(6*a**5*x**3 + 6*a**4*b*x**4) + (a*d - 4*b*c)*(a*d - b*c)**2*log(x + (a**4*d**3 - 6*a**3*b*c*d**2 + 9*a**2*b**2*c**2*d - 4*a*b**3*c**3 - a*(a*d - 4*b*c)*(a*d - b*c)**2)/(2*a**3*b*d**3 - 12*a**2*b**2*c*d**2 + 18*a*b**3*c**2*d - 8*b**4*c**3))/a**5 - (a*d - 4*b*c)*(a*d - b*c)**2*log(x + (a**4*d**3 - 6*a**3*b*c*d**2 + 9*a**2*b**2*c**2*d - 4*a*b**3*c**3 + a*(a*d - 4*b*c)*(a*d - b*c)**2)/(2*a**3*b*d**3 - 12*a**2*b**2*c*d**2 + 18*a*b**3*c**2*d - 8*b**4*c**3))/a**5","B",0
278,1,466,0,2.020564," ","integrate((d*x+c)**3/x**5/(b*x+a)**2,x)","\frac{- 3 a^{4} c^{3} + x^{4} \left(- 24 a^{3} b d^{3} + 108 a^{2} b^{2} c d^{2} - 144 a b^{3} c^{2} d + 60 b^{4} c^{3}\right) + x^{3} \left(- 12 a^{4} d^{3} + 54 a^{3} b c d^{2} - 72 a^{2} b^{2} c^{2} d + 30 a b^{3} c^{3}\right) + x^{2} \left(- 18 a^{4} c d^{2} + 24 a^{3} b c^{2} d - 10 a^{2} b^{2} c^{3}\right) + x \left(- 12 a^{4} c^{2} d + 5 a^{3} b c^{3}\right)}{12 a^{6} x^{4} + 12 a^{5} b x^{5}} - \frac{b \left(a d - b c\right)^{2} \left(2 a d - 5 b c\right) \log{\left(x + \frac{2 a^{4} b d^{3} - 9 a^{3} b^{2} c d^{2} + 12 a^{2} b^{3} c^{2} d - 5 a b^{4} c^{3} - a b \left(a d - b c\right)^{2} \left(2 a d - 5 b c\right)}{4 a^{3} b^{2} d^{3} - 18 a^{2} b^{3} c d^{2} + 24 a b^{4} c^{2} d - 10 b^{5} c^{3}} \right)}}{a^{6}} + \frac{b \left(a d - b c\right)^{2} \left(2 a d - 5 b c\right) \log{\left(x + \frac{2 a^{4} b d^{3} - 9 a^{3} b^{2} c d^{2} + 12 a^{2} b^{3} c^{2} d - 5 a b^{4} c^{3} + a b \left(a d - b c\right)^{2} \left(2 a d - 5 b c\right)}{4 a^{3} b^{2} d^{3} - 18 a^{2} b^{3} c d^{2} + 24 a b^{4} c^{2} d - 10 b^{5} c^{3}} \right)}}{a^{6}}"," ",0,"(-3*a**4*c**3 + x**4*(-24*a**3*b*d**3 + 108*a**2*b**2*c*d**2 - 144*a*b**3*c**2*d + 60*b**4*c**3) + x**3*(-12*a**4*d**3 + 54*a**3*b*c*d**2 - 72*a**2*b**2*c**2*d + 30*a*b**3*c**3) + x**2*(-18*a**4*c*d**2 + 24*a**3*b*c**2*d - 10*a**2*b**2*c**3) + x*(-12*a**4*c**2*d + 5*a**3*b*c**3))/(12*a**6*x**4 + 12*a**5*b*x**5) - b*(a*d - b*c)**2*(2*a*d - 5*b*c)*log(x + (2*a**4*b*d**3 - 9*a**3*b**2*c*d**2 + 12*a**2*b**3*c**2*d - 5*a*b**4*c**3 - a*b*(a*d - b*c)**2*(2*a*d - 5*b*c))/(4*a**3*b**2*d**3 - 18*a**2*b**3*c*d**2 + 24*a*b**4*c**2*d - 10*b**5*c**3))/a**6 + b*(a*d - b*c)**2*(2*a*d - 5*b*c)*log(x + (2*a**4*b*d**3 - 9*a**3*b**2*c*d**2 + 12*a**2*b**3*c**2*d - 5*a*b**4*c**3 + a*b*(a*d - b*c)**2*(2*a*d - 5*b*c))/(4*a**3*b**2*d**3 - 18*a**2*b**3*c*d**2 + 24*a*b**4*c**2*d - 10*b**5*c**3))/a**6","B",0
279,1,530,0,2.687702," ","integrate((d*x+c)**3/x**6/(b*x+a)**2,x)","\frac{- 4 a^{5} c^{3} + x^{5} \left(60 a^{3} b^{2} d^{3} - 240 a^{2} b^{3} c d^{2} + 300 a b^{4} c^{2} d - 120 b^{5} c^{3}\right) + x^{4} \left(30 a^{4} b d^{3} - 120 a^{3} b^{2} c d^{2} + 150 a^{2} b^{3} c^{2} d - 60 a b^{4} c^{3}\right) + x^{3} \left(- 10 a^{5} d^{3} + 40 a^{4} b c d^{2} - 50 a^{3} b^{2} c^{2} d + 20 a^{2} b^{3} c^{3}\right) + x^{2} \left(- 20 a^{5} c d^{2} + 25 a^{4} b c^{2} d - 10 a^{3} b^{2} c^{3}\right) + x \left(- 15 a^{5} c^{2} d + 6 a^{4} b c^{3}\right)}{20 a^{7} x^{5} + 20 a^{6} b x^{6}} + \frac{3 b^{2} \left(a d - 2 b c\right) \left(a d - b c\right)^{2} \log{\left(x + \frac{3 a^{4} b^{2} d^{3} - 12 a^{3} b^{3} c d^{2} + 15 a^{2} b^{4} c^{2} d - 6 a b^{5} c^{3} - 3 a b^{2} \left(a d - 2 b c\right) \left(a d - b c\right)^{2}}{6 a^{3} b^{3} d^{3} - 24 a^{2} b^{4} c d^{2} + 30 a b^{5} c^{2} d - 12 b^{6} c^{3}} \right)}}{a^{7}} - \frac{3 b^{2} \left(a d - 2 b c\right) \left(a d - b c\right)^{2} \log{\left(x + \frac{3 a^{4} b^{2} d^{3} - 12 a^{3} b^{3} c d^{2} + 15 a^{2} b^{4} c^{2} d - 6 a b^{5} c^{3} + 3 a b^{2} \left(a d - 2 b c\right) \left(a d - b c\right)^{2}}{6 a^{3} b^{3} d^{3} - 24 a^{2} b^{4} c d^{2} + 30 a b^{5} c^{2} d - 12 b^{6} c^{3}} \right)}}{a^{7}}"," ",0,"(-4*a**5*c**3 + x**5*(60*a**3*b**2*d**3 - 240*a**2*b**3*c*d**2 + 300*a*b**4*c**2*d - 120*b**5*c**3) + x**4*(30*a**4*b*d**3 - 120*a**3*b**2*c*d**2 + 150*a**2*b**3*c**2*d - 60*a*b**4*c**3) + x**3*(-10*a**5*d**3 + 40*a**4*b*c*d**2 - 50*a**3*b**2*c**2*d + 20*a**2*b**3*c**3) + x**2*(-20*a**5*c*d**2 + 25*a**4*b*c**2*d - 10*a**3*b**2*c**3) + x*(-15*a**5*c**2*d + 6*a**4*b*c**3))/(20*a**7*x**5 + 20*a**6*b*x**6) + 3*b**2*(a*d - 2*b*c)*(a*d - b*c)**2*log(x + (3*a**4*b**2*d**3 - 12*a**3*b**3*c*d**2 + 15*a**2*b**4*c**2*d - 6*a*b**5*c**3 - 3*a*b**2*(a*d - 2*b*c)*(a*d - b*c)**2)/(6*a**3*b**3*d**3 - 24*a**2*b**4*c*d**2 + 30*a*b**5*c**2*d - 12*b**6*c**3))/a**7 - 3*b**2*(a*d - 2*b*c)*(a*d - b*c)**2*log(x + (3*a**4*b**2*d**3 - 12*a**3*b**3*c*d**2 + 15*a**2*b**4*c**2*d - 6*a*b**5*c**3 + 3*a*b**2*(a*d - 2*b*c)*(a*d - b*c)**2)/(6*a**3*b**3*d**3 - 24*a**2*b**4*c*d**2 + 30*a*b**5*c**2*d - 12*b**6*c**3))/a**7","B",0
280,1,779,0,20.480118," ","integrate(x**6/(b*x+a)**2/(d*x+c)**2,x)","- \frac{2 a^{5} \left(2 a d - 3 b c\right) \log{\left(x + \frac{\frac{2 a^{9} d^{8} \left(2 a d - 3 b c\right)}{b \left(a d - b c\right)^{3}} - \frac{8 a^{8} c d^{7} \left(2 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} + \frac{12 a^{7} b c^{2} d^{6} \left(2 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} - \frac{8 a^{6} b^{2} c^{3} d^{5} \left(2 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} + 4 a^{6} c d^{5} + \frac{2 a^{5} b^{3} c^{4} d^{4} \left(2 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} - 6 a^{5} b c^{2} d^{4} - 6 a^{2} b^{4} c^{5} d + 4 a b^{5} c^{6}}{4 a^{6} d^{6} - 6 a^{5} b c d^{5} - 6 a b^{5} c^{5} d + 4 b^{6} c^{6}} \right)}}{b^{5} \left(a d - b c\right)^{3}} - \frac{2 c^{5} \left(3 a d - 2 b c\right) \log{\left(x + \frac{4 a^{6} c d^{5} - 6 a^{5} b c^{2} d^{4} + \frac{2 a^{4} b^{4} c^{5} d^{3} \left(3 a d - 2 b c\right)}{\left(a d - b c\right)^{3}} - \frac{8 a^{3} b^{5} c^{6} d^{2} \left(3 a d - 2 b c\right)}{\left(a d - b c\right)^{3}} + \frac{12 a^{2} b^{6} c^{7} d \left(3 a d - 2 b c\right)}{\left(a d - b c\right)^{3}} - 6 a^{2} b^{4} c^{5} d - \frac{8 a b^{7} c^{8} \left(3 a d - 2 b c\right)}{\left(a d - b c\right)^{3}} + 4 a b^{5} c^{6} + \frac{2 b^{8} c^{9} \left(3 a d - 2 b c\right)}{d \left(a d - b c\right)^{3}}}{4 a^{6} d^{6} - 6 a^{5} b c d^{5} - 6 a b^{5} c^{5} d + 4 b^{6} c^{6}} \right)}}{d^{5} \left(a d - b c\right)^{3}} + x^{2} \left(- \frac{a}{b^{3} d^{2}} - \frac{c}{b^{2} d^{3}}\right) + x \left(\frac{3 a^{2}}{b^{4} d^{2}} + \frac{4 a c}{b^{3} d^{3}} + \frac{3 c^{2}}{b^{2} d^{4}}\right) + \frac{- a^{6} c d^{5} - a b^{5} c^{6} + x \left(- a^{6} d^{6} - b^{6} c^{6}\right)}{a^{3} b^{5} c d^{7} - 2 a^{2} b^{6} c^{2} d^{6} + a b^{7} c^{3} d^{5} + x^{2} \left(a^{2} b^{6} d^{8} - 2 a b^{7} c d^{7} + b^{8} c^{2} d^{6}\right) + x \left(a^{3} b^{5} d^{8} - a^{2} b^{6} c d^{7} - a b^{7} c^{2} d^{6} + b^{8} c^{3} d^{5}\right)} + \frac{x^{3}}{3 b^{2} d^{2}}"," ",0,"-2*a**5*(2*a*d - 3*b*c)*log(x + (2*a**9*d**8*(2*a*d - 3*b*c)/(b*(a*d - b*c)**3) - 8*a**8*c*d**7*(2*a*d - 3*b*c)/(a*d - b*c)**3 + 12*a**7*b*c**2*d**6*(2*a*d - 3*b*c)/(a*d - b*c)**3 - 8*a**6*b**2*c**3*d**5*(2*a*d - 3*b*c)/(a*d - b*c)**3 + 4*a**6*c*d**5 + 2*a**5*b**3*c**4*d**4*(2*a*d - 3*b*c)/(a*d - b*c)**3 - 6*a**5*b*c**2*d**4 - 6*a**2*b**4*c**5*d + 4*a*b**5*c**6)/(4*a**6*d**6 - 6*a**5*b*c*d**5 - 6*a*b**5*c**5*d + 4*b**6*c**6))/(b**5*(a*d - b*c)**3) - 2*c**5*(3*a*d - 2*b*c)*log(x + (4*a**6*c*d**5 - 6*a**5*b*c**2*d**4 + 2*a**4*b**4*c**5*d**3*(3*a*d - 2*b*c)/(a*d - b*c)**3 - 8*a**3*b**5*c**6*d**2*(3*a*d - 2*b*c)/(a*d - b*c)**3 + 12*a**2*b**6*c**7*d*(3*a*d - 2*b*c)/(a*d - b*c)**3 - 6*a**2*b**4*c**5*d - 8*a*b**7*c**8*(3*a*d - 2*b*c)/(a*d - b*c)**3 + 4*a*b**5*c**6 + 2*b**8*c**9*(3*a*d - 2*b*c)/(d*(a*d - b*c)**3))/(4*a**6*d**6 - 6*a**5*b*c*d**5 - 6*a*b**5*c**5*d + 4*b**6*c**6))/(d**5*(a*d - b*c)**3) + x**2*(-a/(b**3*d**2) - c/(b**2*d**3)) + x*(3*a**2/(b**4*d**2) + 4*a*c/(b**3*d**3) + 3*c**2/(b**2*d**4)) + (-a**6*c*d**5 - a*b**5*c**6 + x*(-a**6*d**6 - b**6*c**6))/(a**3*b**5*c*d**7 - 2*a**2*b**6*c**2*d**6 + a*b**7*c**3*d**5 + x**2*(a**2*b**6*d**8 - 2*a*b**7*c*d**7 + b**8*c**2*d**6) + x*(a**3*b**5*d**8 - a**2*b**6*c*d**7 - a*b**7*c**2*d**6 + b**8*c**3*d**5)) + x**3/(3*b**2*d**2)","B",0
281,1,731,0,13.451318," ","integrate(x**5/(b*x+a)**2/(d*x+c)**2,x)","\frac{a^{4} \left(3 a d - 5 b c\right) \log{\left(x + \frac{\frac{a^{8} d^{7} \left(3 a d - 5 b c\right)}{b \left(a d - b c\right)^{3}} - \frac{4 a^{7} c d^{6} \left(3 a d - 5 b c\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{6} b c^{2} d^{5} \left(3 a d - 5 b c\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{5} b^{2} c^{3} d^{4} \left(3 a d - 5 b c\right)}{\left(a d - b c\right)^{3}} + 3 a^{5} c d^{4} + \frac{a^{4} b^{3} c^{4} d^{3} \left(3 a d - 5 b c\right)}{\left(a d - b c\right)^{3}} - 5 a^{4} b c^{2} d^{3} - 5 a^{2} b^{3} c^{4} d + 3 a b^{4} c^{5}}{3 a^{5} d^{5} - 5 a^{4} b c d^{4} - 5 a b^{4} c^{4} d + 3 b^{5} c^{5}} \right)}}{b^{4} \left(a d - b c\right)^{3}} + \frac{c^{4} \left(5 a d - 3 b c\right) \log{\left(x + \frac{3 a^{5} c d^{4} + \frac{a^{4} b^{3} c^{4} d^{3} \left(5 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} - 5 a^{4} b c^{2} d^{3} - \frac{4 a^{3} b^{4} c^{5} d^{2} \left(5 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{2} b^{5} c^{6} d \left(5 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} - 5 a^{2} b^{3} c^{4} d - \frac{4 a b^{6} c^{7} \left(5 a d - 3 b c\right)}{\left(a d - b c\right)^{3}} + 3 a b^{4} c^{5} + \frac{b^{7} c^{8} \left(5 a d - 3 b c\right)}{d \left(a d - b c\right)^{3}}}{3 a^{5} d^{5} - 5 a^{4} b c d^{4} - 5 a b^{4} c^{4} d + 3 b^{5} c^{5}} \right)}}{d^{4} \left(a d - b c\right)^{3}} + x \left(- \frac{2 a}{b^{3} d^{2}} - \frac{2 c}{b^{2} d^{3}}\right) + \frac{a^{5} c d^{4} + a b^{4} c^{5} + x \left(a^{5} d^{5} + b^{5} c^{5}\right)}{a^{3} b^{4} c d^{6} - 2 a^{2} b^{5} c^{2} d^{5} + a b^{6} c^{3} d^{4} + x^{2} \left(a^{2} b^{5} d^{7} - 2 a b^{6} c d^{6} + b^{7} c^{2} d^{5}\right) + x \left(a^{3} b^{4} d^{7} - a^{2} b^{5} c d^{6} - a b^{6} c^{2} d^{5} + b^{7} c^{3} d^{4}\right)} + \frac{x^{2}}{2 b^{2} d^{2}}"," ",0,"a**4*(3*a*d - 5*b*c)*log(x + (a**8*d**7*(3*a*d - 5*b*c)/(b*(a*d - b*c)**3) - 4*a**7*c*d**6*(3*a*d - 5*b*c)/(a*d - b*c)**3 + 6*a**6*b*c**2*d**5*(3*a*d - 5*b*c)/(a*d - b*c)**3 - 4*a**5*b**2*c**3*d**4*(3*a*d - 5*b*c)/(a*d - b*c)**3 + 3*a**5*c*d**4 + a**4*b**3*c**4*d**3*(3*a*d - 5*b*c)/(a*d - b*c)**3 - 5*a**4*b*c**2*d**3 - 5*a**2*b**3*c**4*d + 3*a*b**4*c**5)/(3*a**5*d**5 - 5*a**4*b*c*d**4 - 5*a*b**4*c**4*d + 3*b**5*c**5))/(b**4*(a*d - b*c)**3) + c**4*(5*a*d - 3*b*c)*log(x + (3*a**5*c*d**4 + a**4*b**3*c**4*d**3*(5*a*d - 3*b*c)/(a*d - b*c)**3 - 5*a**4*b*c**2*d**3 - 4*a**3*b**4*c**5*d**2*(5*a*d - 3*b*c)/(a*d - b*c)**3 + 6*a**2*b**5*c**6*d*(5*a*d - 3*b*c)/(a*d - b*c)**3 - 5*a**2*b**3*c**4*d - 4*a*b**6*c**7*(5*a*d - 3*b*c)/(a*d - b*c)**3 + 3*a*b**4*c**5 + b**7*c**8*(5*a*d - 3*b*c)/(d*(a*d - b*c)**3))/(3*a**5*d**5 - 5*a**4*b*c*d**4 - 5*a*b**4*c**4*d + 3*b**5*c**5))/(d**4*(a*d - b*c)**3) + x*(-2*a/(b**3*d**2) - 2*c/(b**2*d**3)) + (a**5*c*d**4 + a*b**4*c**5 + x*(a**5*d**5 + b**5*c**5))/(a**3*b**4*c*d**6 - 2*a**2*b**5*c**2*d**5 + a*b**6*c**3*d**4 + x**2*(a**2*b**5*d**7 - 2*a*b**6*c*d**6 + b**7*c**2*d**5) + x*(a**3*b**4*d**7 - a**2*b**5*c*d**6 - a*b**6*c**2*d**5 + b**7*c**3*d**4)) + x**2/(2*b**2*d**2)","B",0
282,1,695,0,7.893831," ","integrate(x**4/(b*x+a)**2/(d*x+c)**2,x)","- \frac{2 a^{3} \left(a d - 2 b c\right) \log{\left(x + \frac{\frac{2 a^{7} d^{6} \left(a d - 2 b c\right)}{b \left(a d - b c\right)^{3}} - \frac{8 a^{6} c d^{5} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{3}} + \frac{12 a^{5} b c^{2} d^{4} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{3}} - \frac{8 a^{4} b^{2} c^{3} d^{3} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{3}} + 2 a^{4} c d^{3} + \frac{2 a^{3} b^{3} c^{4} d^{2} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{3}} - 4 a^{3} b c^{2} d^{2} - 4 a^{2} b^{2} c^{3} d + 2 a b^{3} c^{4}}{2 a^{4} d^{4} - 4 a^{3} b c d^{3} - 4 a b^{3} c^{3} d + 2 b^{4} c^{4}} \right)}}{b^{3} \left(a d - b c\right)^{3}} - \frac{2 c^{3} \left(2 a d - b c\right) \log{\left(x + \frac{\frac{2 a^{4} b^{2} c^{3} d^{3} \left(2 a d - b c\right)}{\left(a d - b c\right)^{3}} + 2 a^{4} c d^{3} - \frac{8 a^{3} b^{3} c^{4} d^{2} \left(2 a d - b c\right)}{\left(a d - b c\right)^{3}} - 4 a^{3} b c^{2} d^{2} + \frac{12 a^{2} b^{4} c^{5} d \left(2 a d - b c\right)}{\left(a d - b c\right)^{3}} - 4 a^{2} b^{2} c^{3} d - \frac{8 a b^{5} c^{6} \left(2 a d - b c\right)}{\left(a d - b c\right)^{3}} + 2 a b^{3} c^{4} + \frac{2 b^{6} c^{7} \left(2 a d - b c\right)}{d \left(a d - b c\right)^{3}}}{2 a^{4} d^{4} - 4 a^{3} b c d^{3} - 4 a b^{3} c^{3} d + 2 b^{4} c^{4}} \right)}}{d^{3} \left(a d - b c\right)^{3}} + \frac{- a^{4} c d^{3} - a b^{3} c^{4} + x \left(- a^{4} d^{4} - b^{4} c^{4}\right)}{a^{3} b^{3} c d^{5} - 2 a^{2} b^{4} c^{2} d^{4} + a b^{5} c^{3} d^{3} + x^{2} \left(a^{2} b^{4} d^{6} - 2 a b^{5} c d^{5} + b^{6} c^{2} d^{4}\right) + x \left(a^{3} b^{3} d^{6} - a^{2} b^{4} c d^{5} - a b^{5} c^{2} d^{4} + b^{6} c^{3} d^{3}\right)} + \frac{x}{b^{2} d^{2}}"," ",0,"-2*a**3*(a*d - 2*b*c)*log(x + (2*a**7*d**6*(a*d - 2*b*c)/(b*(a*d - b*c)**3) - 8*a**6*c*d**5*(a*d - 2*b*c)/(a*d - b*c)**3 + 12*a**5*b*c**2*d**4*(a*d - 2*b*c)/(a*d - b*c)**3 - 8*a**4*b**2*c**3*d**3*(a*d - 2*b*c)/(a*d - b*c)**3 + 2*a**4*c*d**3 + 2*a**3*b**3*c**4*d**2*(a*d - 2*b*c)/(a*d - b*c)**3 - 4*a**3*b*c**2*d**2 - 4*a**2*b**2*c**3*d + 2*a*b**3*c**4)/(2*a**4*d**4 - 4*a**3*b*c*d**3 - 4*a*b**3*c**3*d + 2*b**4*c**4))/(b**3*(a*d - b*c)**3) - 2*c**3*(2*a*d - b*c)*log(x + (2*a**4*b**2*c**3*d**3*(2*a*d - b*c)/(a*d - b*c)**3 + 2*a**4*c*d**3 - 8*a**3*b**3*c**4*d**2*(2*a*d - b*c)/(a*d - b*c)**3 - 4*a**3*b*c**2*d**2 + 12*a**2*b**4*c**5*d*(2*a*d - b*c)/(a*d - b*c)**3 - 4*a**2*b**2*c**3*d - 8*a*b**5*c**6*(2*a*d - b*c)/(a*d - b*c)**3 + 2*a*b**3*c**4 + 2*b**6*c**7*(2*a*d - b*c)/(d*(a*d - b*c)**3))/(2*a**4*d**4 - 4*a**3*b*c*d**3 - 4*a*b**3*c**3*d + 2*b**4*c**4))/(d**3*(a*d - b*c)**3) + (-a**4*c*d**3 - a*b**3*c**4 + x*(-a**4*d**4 - b**4*c**4))/(a**3*b**3*c*d**5 - 2*a**2*b**4*c**2*d**4 + a*b**5*c**3*d**3 + x**2*(a**2*b**4*d**6 - 2*a*b**5*c*d**5 + b**6*c**2*d**4) + x*(a**3*b**3*d**6 - a**2*b**4*c*d**5 - a*b**5*c**2*d**4 + b**6*c**3*d**3)) + x/(b**2*d**2)","B",0
283,1,627,0,5.576118," ","integrate(x**3/(b*x+a)**2/(d*x+c)**2,x)","\frac{a^{2} \left(a d - 3 b c\right) \log{\left(x + \frac{\frac{a^{6} d^{5} \left(a d - 3 b c\right)}{b \left(a d - b c\right)^{3}} - \frac{4 a^{5} c d^{4} \left(a d - 3 b c\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{4} b c^{2} d^{3} \left(a d - 3 b c\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b^{2} c^{3} d^{2} \left(a d - 3 b c\right)}{\left(a d - b c\right)^{3}} + a^{3} c d^{2} + \frac{a^{2} b^{3} c^{4} d \left(a d - 3 b c\right)}{\left(a d - b c\right)^{3}} - 6 a^{2} b c^{2} d + a b^{2} c^{3}}{a^{3} d^{3} - 3 a^{2} b c d^{2} - 3 a b^{2} c^{2} d + b^{3} c^{3}} \right)}}{b^{2} \left(a d - b c\right)^{3}} + \frac{c^{2} \left(3 a d - b c\right) \log{\left(x + \frac{\frac{a^{4} b c^{2} d^{3} \left(3 a d - b c\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b^{2} c^{3} d^{2} \left(3 a d - b c\right)}{\left(a d - b c\right)^{3}} + a^{3} c d^{2} + \frac{6 a^{2} b^{3} c^{4} d \left(3 a d - b c\right)}{\left(a d - b c\right)^{3}} - 6 a^{2} b c^{2} d - \frac{4 a b^{4} c^{5} \left(3 a d - b c\right)}{\left(a d - b c\right)^{3}} + a b^{2} c^{3} + \frac{b^{5} c^{6} \left(3 a d - b c\right)}{d \left(a d - b c\right)^{3}}}{a^{3} d^{3} - 3 a^{2} b c d^{2} - 3 a b^{2} c^{2} d + b^{3} c^{3}} \right)}}{d^{2} \left(a d - b c\right)^{3}} + \frac{a^{3} c d^{2} + a b^{2} c^{3} + x \left(a^{3} d^{3} + b^{3} c^{3}\right)}{a^{3} b^{2} c d^{4} - 2 a^{2} b^{3} c^{2} d^{3} + a b^{4} c^{3} d^{2} + x^{2} \left(a^{2} b^{3} d^{5} - 2 a b^{4} c d^{4} + b^{5} c^{2} d^{3}\right) + x \left(a^{3} b^{2} d^{5} - a^{2} b^{3} c d^{4} - a b^{4} c^{2} d^{3} + b^{5} c^{3} d^{2}\right)}"," ",0,"a**2*(a*d - 3*b*c)*log(x + (a**6*d**5*(a*d - 3*b*c)/(b*(a*d - b*c)**3) - 4*a**5*c*d**4*(a*d - 3*b*c)/(a*d - b*c)**3 + 6*a**4*b*c**2*d**3*(a*d - 3*b*c)/(a*d - b*c)**3 - 4*a**3*b**2*c**3*d**2*(a*d - 3*b*c)/(a*d - b*c)**3 + a**3*c*d**2 + a**2*b**3*c**4*d*(a*d - 3*b*c)/(a*d - b*c)**3 - 6*a**2*b*c**2*d + a*b**2*c**3)/(a**3*d**3 - 3*a**2*b*c*d**2 - 3*a*b**2*c**2*d + b**3*c**3))/(b**2*(a*d - b*c)**3) + c**2*(3*a*d - b*c)*log(x + (a**4*b*c**2*d**3*(3*a*d - b*c)/(a*d - b*c)**3 - 4*a**3*b**2*c**3*d**2*(3*a*d - b*c)/(a*d - b*c)**3 + a**3*c*d**2 + 6*a**2*b**3*c**4*d*(3*a*d - b*c)/(a*d - b*c)**3 - 6*a**2*b*c**2*d - 4*a*b**4*c**5*(3*a*d - b*c)/(a*d - b*c)**3 + a*b**2*c**3 + b**5*c**6*(3*a*d - b*c)/(d*(a*d - b*c)**3))/(a**3*d**3 - 3*a**2*b*c*d**2 - 3*a*b**2*c**2*d + b**3*c**3))/(d**2*(a*d - b*c)**3) + (a**3*c*d**2 + a*b**2*c**3 + x*(a**3*d**3 + b**3*c**3))/(a**3*b**2*c*d**4 - 2*a**2*b**3*c**2*d**3 + a*b**4*c**3*d**2 + x**2*(a**2*b**3*d**5 - 2*a*b**4*c*d**4 + b**5*c**2*d**3) + x*(a**3*b**2*d**5 - a**2*b**3*c*d**4 - a*b**4*c**2*d**3 + b**5*c**3*d**2))","B",0
284,1,439,0,1.387930," ","integrate(x**2/(b*x+a)**2/(d*x+c)**2,x)","- \frac{2 a c \log{\left(x + \frac{- \frac{2 a^{5} c d^{4}}{\left(a d - b c\right)^{3}} + \frac{8 a^{4} b c^{2} d^{3}}{\left(a d - b c\right)^{3}} - \frac{12 a^{3} b^{2} c^{3} d^{2}}{\left(a d - b c\right)^{3}} + \frac{8 a^{2} b^{3} c^{4} d}{\left(a d - b c\right)^{3}} + 2 a^{2} c d - \frac{2 a b^{4} c^{5}}{\left(a d - b c\right)^{3}} + 2 a b c^{2}}{4 a b c d} \right)}}{\left(a d - b c\right)^{3}} + \frac{2 a c \log{\left(x + \frac{\frac{2 a^{5} c d^{4}}{\left(a d - b c\right)^{3}} - \frac{8 a^{4} b c^{2} d^{3}}{\left(a d - b c\right)^{3}} + \frac{12 a^{3} b^{2} c^{3} d^{2}}{\left(a d - b c\right)^{3}} - \frac{8 a^{2} b^{3} c^{4} d}{\left(a d - b c\right)^{3}} + 2 a^{2} c d + \frac{2 a b^{4} c^{5}}{\left(a d - b c\right)^{3}} + 2 a b c^{2}}{4 a b c d} \right)}}{\left(a d - b c\right)^{3}} + \frac{- a^{2} c d - a b c^{2} + x \left(- a^{2} d^{2} - b^{2} c^{2}\right)}{a^{3} b c d^{3} - 2 a^{2} b^{2} c^{2} d^{2} + a b^{3} c^{3} d + x^{2} \left(a^{2} b^{2} d^{4} - 2 a b^{3} c d^{3} + b^{4} c^{2} d^{2}\right) + x \left(a^{3} b d^{4} - a^{2} b^{2} c d^{3} - a b^{3} c^{2} d^{2} + b^{4} c^{3} d\right)}"," ",0,"-2*a*c*log(x + (-2*a**5*c*d**4/(a*d - b*c)**3 + 8*a**4*b*c**2*d**3/(a*d - b*c)**3 - 12*a**3*b**2*c**3*d**2/(a*d - b*c)**3 + 8*a**2*b**3*c**4*d/(a*d - b*c)**3 + 2*a**2*c*d - 2*a*b**4*c**5/(a*d - b*c)**3 + 2*a*b*c**2)/(4*a*b*c*d))/(a*d - b*c)**3 + 2*a*c*log(x + (2*a**5*c*d**4/(a*d - b*c)**3 - 8*a**4*b*c**2*d**3/(a*d - b*c)**3 + 12*a**3*b**2*c**3*d**2/(a*d - b*c)**3 - 8*a**2*b**3*c**4*d/(a*d - b*c)**3 + 2*a**2*c*d + 2*a*b**4*c**5/(a*d - b*c)**3 + 2*a*b*c**2)/(4*a*b*c*d))/(a*d - b*c)**3 + (-a**2*c*d - a*b*c**2 + x*(-a**2*d**2 - b**2*c**2))/(a**3*b*c*d**3 - 2*a**2*b**2*c**2*d**2 + a*b**3*c**3*d + x**2*(a**2*b**2*d**4 - 2*a*b**3*c*d**3 + b**4*c**2*d**2) + x*(a**3*b*d**4 - a**2*b**2*c*d**3 - a*b**3*c**2*d**2 + b**4*c**3*d))","B",0
285,1,483,0,1.528685," ","integrate(x/(b*x+a)**2/(d*x+c)**2,x)","\frac{2 a c + x \left(a d + b c\right)}{a^{3} c d^{2} - 2 a^{2} b c^{2} d + a b^{2} c^{3} + x^{2} \left(a^{2} b d^{3} - 2 a b^{2} c d^{2} + b^{3} c^{2} d\right) + x \left(a^{3} d^{3} - a^{2} b c d^{2} - a b^{2} c^{2} d + b^{3} c^{3}\right)} + \frac{\left(a d + b c\right) \log{\left(x + \frac{- \frac{a^{4} d^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b c d^{3} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} - \frac{6 a^{2} b^{2} c^{2} d^{2} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + a^{2} d^{2} + \frac{4 a b^{3} c^{3} d \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + 2 a b c d - \frac{b^{4} c^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + b^{2} c^{2}}{2 a b d^{2} + 2 b^{2} c d} \right)}}{\left(a d - b c\right)^{3}} - \frac{\left(a d + b c\right) \log{\left(x + \frac{\frac{a^{4} d^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b c d^{3} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{2} b^{2} c^{2} d^{2} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + a^{2} d^{2} - \frac{4 a b^{3} c^{3} d \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + 2 a b c d + \frac{b^{4} c^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{3}} + b^{2} c^{2}}{2 a b d^{2} + 2 b^{2} c d} \right)}}{\left(a d - b c\right)^{3}}"," ",0,"(2*a*c + x*(a*d + b*c))/(a**3*c*d**2 - 2*a**2*b*c**2*d + a*b**2*c**3 + x**2*(a**2*b*d**3 - 2*a*b**2*c*d**2 + b**3*c**2*d) + x*(a**3*d**3 - a**2*b*c*d**2 - a*b**2*c**2*d + b**3*c**3)) + (a*d + b*c)*log(x + (-a**4*d**4*(a*d + b*c)/(a*d - b*c)**3 + 4*a**3*b*c*d**3*(a*d + b*c)/(a*d - b*c)**3 - 6*a**2*b**2*c**2*d**2*(a*d + b*c)/(a*d - b*c)**3 + a**2*d**2 + 4*a*b**3*c**3*d*(a*d + b*c)/(a*d - b*c)**3 + 2*a*b*c*d - b**4*c**4*(a*d + b*c)/(a*d - b*c)**3 + b**2*c**2)/(2*a*b*d**2 + 2*b**2*c*d))/(a*d - b*c)**3 - (a*d + b*c)*log(x + (a**4*d**4*(a*d + b*c)/(a*d - b*c)**3 - 4*a**3*b*c*d**3*(a*d + b*c)/(a*d - b*c)**3 + 6*a**2*b**2*c**2*d**2*(a*d + b*c)/(a*d - b*c)**3 + a**2*d**2 - 4*a*b**3*c**3*d*(a*d + b*c)/(a*d - b*c)**3 + 2*a*b*c*d + b**4*c**4*(a*d + b*c)/(a*d - b*c)**3 + b**2*c**2)/(2*a*b*d**2 + 2*b**2*c*d))/(a*d - b*c)**3","B",0
286,1,406,0,1.158700," ","integrate(1/(b*x+a)**2/(d*x+c)**2,x)","- \frac{2 b d \log{\left(x + \frac{- \frac{2 a^{4} b d^{5}}{\left(a d - b c\right)^{3}} + \frac{8 a^{3} b^{2} c d^{4}}{\left(a d - b c\right)^{3}} - \frac{12 a^{2} b^{3} c^{2} d^{3}}{\left(a d - b c\right)^{3}} + \frac{8 a b^{4} c^{3} d^{2}}{\left(a d - b c\right)^{3}} + 2 a b d^{2} - \frac{2 b^{5} c^{4} d}{\left(a d - b c\right)^{3}} + 2 b^{2} c d}{4 b^{2} d^{2}} \right)}}{\left(a d - b c\right)^{3}} + \frac{2 b d \log{\left(x + \frac{\frac{2 a^{4} b d^{5}}{\left(a d - b c\right)^{3}} - \frac{8 a^{3} b^{2} c d^{4}}{\left(a d - b c\right)^{3}} + \frac{12 a^{2} b^{3} c^{2} d^{3}}{\left(a d - b c\right)^{3}} - \frac{8 a b^{4} c^{3} d^{2}}{\left(a d - b c\right)^{3}} + 2 a b d^{2} + \frac{2 b^{5} c^{4} d}{\left(a d - b c\right)^{3}} + 2 b^{2} c d}{4 b^{2} d^{2}} \right)}}{\left(a d - b c\right)^{3}} + \frac{- a d - b c - 2 b d x}{a^{3} c d^{2} - 2 a^{2} b c^{2} d + a b^{2} c^{3} + x^{2} \left(a^{2} b d^{3} - 2 a b^{2} c d^{2} + b^{3} c^{2} d\right) + x \left(a^{3} d^{3} - a^{2} b c d^{2} - a b^{2} c^{2} d + b^{3} c^{3}\right)}"," ",0,"-2*b*d*log(x + (-2*a**4*b*d**5/(a*d - b*c)**3 + 8*a**3*b**2*c*d**4/(a*d - b*c)**3 - 12*a**2*b**3*c**2*d**3/(a*d - b*c)**3 + 8*a*b**4*c**3*d**2/(a*d - b*c)**3 + 2*a*b*d**2 - 2*b**5*c**4*d/(a*d - b*c)**3 + 2*b**2*c*d)/(4*b**2*d**2))/(a*d - b*c)**3 + 2*b*d*log(x + (2*a**4*b*d**5/(a*d - b*c)**3 - 8*a**3*b**2*c*d**4/(a*d - b*c)**3 + 12*a**2*b**3*c**2*d**3/(a*d - b*c)**3 - 8*a*b**4*c**3*d**2/(a*d - b*c)**3 + 2*a*b*d**2 + 2*b**5*c**4*d/(a*d - b*c)**3 + 2*b**2*c*d)/(4*b**2*d**2))/(a*d - b*c)**3 + (-a*d - b*c - 2*b*d*x)/(a**3*c*d**2 - 2*a**2*b*c**2*d + a*b**2*c**3 + x**2*(a**2*b*d**3 - 2*a*b**2*c*d**2 + b**3*c**2*d) + x*(a**3*d**3 - a**2*b*c*d**2 - a*b**2*c**2*d + b**3*c**3))","B",0
287,-1,0,0,0.000000," ","integrate(1/x/(b*x+a)**2/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
288,-1,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**2/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
289,-1,0,0,0.000000," ","integrate(1/x**3/(b*x+a)**2/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
290,-1,0,0,0.000000," ","integrate(x**7/(b*x+a)**2/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
291,1,1187,0,104.166228," ","integrate(x**6/(b*x+a)**2/(d*x+c)**3,x)","\frac{3 a^{5} \left(a d - 2 b c\right) \log{\left(x + \frac{\frac{3 a^{10} d^{9} \left(a d - 2 b c\right)}{b \left(a d - b c\right)^{4}} - \frac{15 a^{9} c d^{8} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{4}} + \frac{30 a^{8} b c^{2} d^{7} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{4}} - \frac{30 a^{7} b^{2} c^{3} d^{6} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{4}} + \frac{15 a^{6} b^{3} c^{4} d^{5} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{4}} + 3 a^{6} c d^{5} - \frac{3 a^{5} b^{4} c^{5} d^{4} \left(a d - 2 b c\right)}{\left(a d - b c\right)^{4}} - 6 a^{5} b c^{2} d^{4} - 15 a^{3} b^{3} c^{4} d^{2} + 18 a^{2} b^{4} c^{5} d - 6 a b^{5} c^{6}}{3 a^{6} d^{6} - 6 a^{5} b c d^{5} - 15 a^{2} b^{4} c^{4} d^{2} + 18 a b^{5} c^{5} d - 6 b^{6} c^{6}} \right)}}{b^{4} \left(a d - b c\right)^{4}} + \frac{3 c^{4} \left(5 a^{2} d^{2} - 6 a b c d + 2 b^{2} c^{2}\right) \log{\left(x + \frac{3 a^{6} c d^{5} + \frac{3 a^{5} b^{3} c^{4} d^{4} \left(5 a^{2} d^{2} - 6 a b c d + 2 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - 6 a^{5} b c^{2} d^{4} - \frac{15 a^{4} b^{4} c^{5} d^{3} \left(5 a^{2} d^{2} - 6 a b c d + 2 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} + \frac{30 a^{3} b^{5} c^{6} d^{2} \left(5 a^{2} d^{2} - 6 a b c d + 2 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - 15 a^{3} b^{3} c^{4} d^{2} - \frac{30 a^{2} b^{6} c^{7} d \left(5 a^{2} d^{2} - 6 a b c d + 2 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} + 18 a^{2} b^{4} c^{5} d + \frac{15 a b^{7} c^{8} \left(5 a^{2} d^{2} - 6 a b c d + 2 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - 6 a b^{5} c^{6} - \frac{3 b^{8} c^{9} \left(5 a^{2} d^{2} - 6 a b c d + 2 b^{2} c^{2}\right)}{d \left(a d - b c\right)^{4}}}{3 a^{6} d^{6} - 6 a^{5} b c d^{5} - 15 a^{2} b^{4} c^{4} d^{2} + 18 a b^{5} c^{5} d - 6 b^{6} c^{6}} \right)}}{d^{5} \left(a d - b c\right)^{4}} + x \left(- \frac{2 a}{b^{3} d^{3}} - \frac{3 c}{b^{2} d^{4}}\right) + \frac{2 a^{6} c^{2} d^{5} + 11 a^{2} b^{4} c^{6} d - 7 a b^{5} c^{7} + x^{2} \left(2 a^{6} d^{7} + 12 a b^{5} c^{5} d^{2} - 8 b^{6} c^{6} d\right) + x \left(4 a^{6} c d^{6} + 12 a^{2} b^{4} c^{5} d^{2} + 3 a b^{5} c^{6} d - 7 b^{6} c^{7}\right)}{2 a^{4} b^{4} c^{2} d^{8} - 6 a^{3} b^{5} c^{3} d^{7} + 6 a^{2} b^{6} c^{4} d^{6} - 2 a b^{7} c^{5} d^{5} + x^{3} \left(2 a^{3} b^{5} d^{10} - 6 a^{2} b^{6} c d^{9} + 6 a b^{7} c^{2} d^{8} - 2 b^{8} c^{3} d^{7}\right) + x^{2} \left(2 a^{4} b^{4} d^{10} - 2 a^{3} b^{5} c d^{9} - 6 a^{2} b^{6} c^{2} d^{8} + 10 a b^{7} c^{3} d^{7} - 4 b^{8} c^{4} d^{6}\right) + x \left(4 a^{4} b^{4} c d^{9} - 10 a^{3} b^{5} c^{2} d^{8} + 6 a^{2} b^{6} c^{3} d^{7} + 2 a b^{7} c^{4} d^{6} - 2 b^{8} c^{5} d^{5}\right)} + \frac{x^{2}}{2 b^{2} d^{3}}"," ",0,"3*a**5*(a*d - 2*b*c)*log(x + (3*a**10*d**9*(a*d - 2*b*c)/(b*(a*d - b*c)**4) - 15*a**9*c*d**8*(a*d - 2*b*c)/(a*d - b*c)**4 + 30*a**8*b*c**2*d**7*(a*d - 2*b*c)/(a*d - b*c)**4 - 30*a**7*b**2*c**3*d**6*(a*d - 2*b*c)/(a*d - b*c)**4 + 15*a**6*b**3*c**4*d**5*(a*d - 2*b*c)/(a*d - b*c)**4 + 3*a**6*c*d**5 - 3*a**5*b**4*c**5*d**4*(a*d - 2*b*c)/(a*d - b*c)**4 - 6*a**5*b*c**2*d**4 - 15*a**3*b**3*c**4*d**2 + 18*a**2*b**4*c**5*d - 6*a*b**5*c**6)/(3*a**6*d**6 - 6*a**5*b*c*d**5 - 15*a**2*b**4*c**4*d**2 + 18*a*b**5*c**5*d - 6*b**6*c**6))/(b**4*(a*d - b*c)**4) + 3*c**4*(5*a**2*d**2 - 6*a*b*c*d + 2*b**2*c**2)*log(x + (3*a**6*c*d**5 + 3*a**5*b**3*c**4*d**4*(5*a**2*d**2 - 6*a*b*c*d + 2*b**2*c**2)/(a*d - b*c)**4 - 6*a**5*b*c**2*d**4 - 15*a**4*b**4*c**5*d**3*(5*a**2*d**2 - 6*a*b*c*d + 2*b**2*c**2)/(a*d - b*c)**4 + 30*a**3*b**5*c**6*d**2*(5*a**2*d**2 - 6*a*b*c*d + 2*b**2*c**2)/(a*d - b*c)**4 - 15*a**3*b**3*c**4*d**2 - 30*a**2*b**6*c**7*d*(5*a**2*d**2 - 6*a*b*c*d + 2*b**2*c**2)/(a*d - b*c)**4 + 18*a**2*b**4*c**5*d + 15*a*b**7*c**8*(5*a**2*d**2 - 6*a*b*c*d + 2*b**2*c**2)/(a*d - b*c)**4 - 6*a*b**5*c**6 - 3*b**8*c**9*(5*a**2*d**2 - 6*a*b*c*d + 2*b**2*c**2)/(d*(a*d - b*c)**4))/(3*a**6*d**6 - 6*a**5*b*c*d**5 - 15*a**2*b**4*c**4*d**2 + 18*a*b**5*c**5*d - 6*b**6*c**6))/(d**5*(a*d - b*c)**4) + x*(-2*a/(b**3*d**3) - 3*c/(b**2*d**4)) + (2*a**6*c**2*d**5 + 11*a**2*b**4*c**6*d - 7*a*b**5*c**7 + x**2*(2*a**6*d**7 + 12*a*b**5*c**5*d**2 - 8*b**6*c**6*d) + x*(4*a**6*c*d**6 + 12*a**2*b**4*c**5*d**2 + 3*a*b**5*c**6*d - 7*b**6*c**7))/(2*a**4*b**4*c**2*d**8 - 6*a**3*b**5*c**3*d**7 + 6*a**2*b**6*c**4*d**6 - 2*a*b**7*c**5*d**5 + x**3*(2*a**3*b**5*d**10 - 6*a**2*b**6*c*d**9 + 6*a*b**7*c**2*d**8 - 2*b**8*c**3*d**7) + x**2*(2*a**4*b**4*d**10 - 2*a**3*b**5*c*d**9 - 6*a**2*b**6*c**2*d**8 + 10*a*b**7*c**3*d**7 - 4*b**8*c**4*d**6) + x*(4*a**4*b**4*c*d**9 - 10*a**3*b**5*c**2*d**8 + 6*a**2*b**6*c**3*d**7 + 2*a*b**7*c**4*d**6 - 2*b**8*c**5*d**5)) + x**2/(2*b**2*d**3)","B",0
292,1,1161,0,65.675025," ","integrate(x**5/(b*x+a)**2/(d*x+c)**3,x)","- \frac{a^{4} \left(2 a d - 5 b c\right) \log{\left(x + \frac{\frac{a^{9} d^{8} \left(2 a d - 5 b c\right)}{b \left(a d - b c\right)^{4}} - \frac{5 a^{8} c d^{7} \left(2 a d - 5 b c\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{7} b c^{2} d^{6} \left(2 a d - 5 b c\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{6} b^{2} c^{3} d^{5} \left(2 a d - 5 b c\right)}{\left(a d - b c\right)^{4}} + \frac{5 a^{5} b^{3} c^{4} d^{4} \left(2 a d - 5 b c\right)}{\left(a d - b c\right)^{4}} + 2 a^{5} c d^{4} - \frac{a^{4} b^{4} c^{5} d^{3} \left(2 a d - 5 b c\right)}{\left(a d - b c\right)^{4}} - 5 a^{4} b c^{2} d^{3} - 10 a^{3} b^{2} c^{3} d^{2} + 10 a^{2} b^{3} c^{4} d - 3 a b^{4} c^{5}}{2 a^{5} d^{5} - 5 a^{4} b c d^{4} - 10 a^{2} b^{3} c^{3} d^{2} + 10 a b^{4} c^{4} d - 3 b^{5} c^{5}} \right)}}{b^{3} \left(a d - b c\right)^{4}} - \frac{c^{3} \left(10 a^{2} d^{2} - 10 a b c d + 3 b^{2} c^{2}\right) \log{\left(x + \frac{\frac{a^{5} b^{2} c^{3} d^{4} \left(10 a^{2} d^{2} - 10 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} + 2 a^{5} c d^{4} - \frac{5 a^{4} b^{3} c^{4} d^{3} \left(10 a^{2} d^{2} - 10 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - 5 a^{4} b c^{2} d^{3} + \frac{10 a^{3} b^{4} c^{5} d^{2} \left(10 a^{2} d^{2} - 10 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - 10 a^{3} b^{2} c^{3} d^{2} - \frac{10 a^{2} b^{5} c^{6} d \left(10 a^{2} d^{2} - 10 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} + 10 a^{2} b^{3} c^{4} d + \frac{5 a b^{6} c^{7} \left(10 a^{2} d^{2} - 10 a b c d + 3 b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - 3 a b^{4} c^{5} - \frac{b^{7} c^{8} \left(10 a^{2} d^{2} - 10 a b c d + 3 b^{2} c^{2}\right)}{d \left(a d - b c\right)^{4}}}{2 a^{5} d^{5} - 5 a^{4} b c d^{4} - 10 a^{2} b^{3} c^{3} d^{2} + 10 a b^{4} c^{4} d - 3 b^{5} c^{5}} \right)}}{d^{4} \left(a d - b c\right)^{4}} + \frac{- 2 a^{5} c^{2} d^{4} - 9 a^{2} b^{3} c^{5} d + 5 a b^{4} c^{6} + x^{2} \left(- 2 a^{5} d^{6} - 10 a b^{4} c^{4} d^{2} + 6 b^{5} c^{5} d\right) + x \left(- 4 a^{5} c d^{5} - 10 a^{2} b^{3} c^{4} d^{2} - 3 a b^{4} c^{5} d + 5 b^{5} c^{6}\right)}{2 a^{4} b^{3} c^{2} d^{7} - 6 a^{3} b^{4} c^{3} d^{6} + 6 a^{2} b^{5} c^{4} d^{5} - 2 a b^{6} c^{5} d^{4} + x^{3} \left(2 a^{3} b^{4} d^{9} - 6 a^{2} b^{5} c d^{8} + 6 a b^{6} c^{2} d^{7} - 2 b^{7} c^{3} d^{6}\right) + x^{2} \left(2 a^{4} b^{3} d^{9} - 2 a^{3} b^{4} c d^{8} - 6 a^{2} b^{5} c^{2} d^{7} + 10 a b^{6} c^{3} d^{6} - 4 b^{7} c^{4} d^{5}\right) + x \left(4 a^{4} b^{3} c d^{8} - 10 a^{3} b^{4} c^{2} d^{7} + 6 a^{2} b^{5} c^{3} d^{6} + 2 a b^{6} c^{4} d^{5} - 2 b^{7} c^{5} d^{4}\right)} + \frac{x}{b^{2} d^{3}}"," ",0,"-a**4*(2*a*d - 5*b*c)*log(x + (a**9*d**8*(2*a*d - 5*b*c)/(b*(a*d - b*c)**4) - 5*a**8*c*d**7*(2*a*d - 5*b*c)/(a*d - b*c)**4 + 10*a**7*b*c**2*d**6*(2*a*d - 5*b*c)/(a*d - b*c)**4 - 10*a**6*b**2*c**3*d**5*(2*a*d - 5*b*c)/(a*d - b*c)**4 + 5*a**5*b**3*c**4*d**4*(2*a*d - 5*b*c)/(a*d - b*c)**4 + 2*a**5*c*d**4 - a**4*b**4*c**5*d**3*(2*a*d - 5*b*c)/(a*d - b*c)**4 - 5*a**4*b*c**2*d**3 - 10*a**3*b**2*c**3*d**2 + 10*a**2*b**3*c**4*d - 3*a*b**4*c**5)/(2*a**5*d**5 - 5*a**4*b*c*d**4 - 10*a**2*b**3*c**3*d**2 + 10*a*b**4*c**4*d - 3*b**5*c**5))/(b**3*(a*d - b*c)**4) - c**3*(10*a**2*d**2 - 10*a*b*c*d + 3*b**2*c**2)*log(x + (a**5*b**2*c**3*d**4*(10*a**2*d**2 - 10*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**4 + 2*a**5*c*d**4 - 5*a**4*b**3*c**4*d**3*(10*a**2*d**2 - 10*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**4 - 5*a**4*b*c**2*d**3 + 10*a**3*b**4*c**5*d**2*(10*a**2*d**2 - 10*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**4 - 10*a**3*b**2*c**3*d**2 - 10*a**2*b**5*c**6*d*(10*a**2*d**2 - 10*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**4 + 10*a**2*b**3*c**4*d + 5*a*b**6*c**7*(10*a**2*d**2 - 10*a*b*c*d + 3*b**2*c**2)/(a*d - b*c)**4 - 3*a*b**4*c**5 - b**7*c**8*(10*a**2*d**2 - 10*a*b*c*d + 3*b**2*c**2)/(d*(a*d - b*c)**4))/(2*a**5*d**5 - 5*a**4*b*c*d**4 - 10*a**2*b**3*c**3*d**2 + 10*a*b**4*c**4*d - 3*b**5*c**5))/(d**4*(a*d - b*c)**4) + (-2*a**5*c**2*d**4 - 9*a**2*b**3*c**5*d + 5*a*b**4*c**6 + x**2*(-2*a**5*d**6 - 10*a*b**4*c**4*d**2 + 6*b**5*c**5*d) + x*(-4*a**5*c*d**5 - 10*a**2*b**3*c**4*d**2 - 3*a*b**4*c**5*d + 5*b**5*c**6))/(2*a**4*b**3*c**2*d**7 - 6*a**3*b**4*c**3*d**6 + 6*a**2*b**5*c**4*d**5 - 2*a*b**6*c**5*d**4 + x**3*(2*a**3*b**4*d**9 - 6*a**2*b**5*c*d**8 + 6*a*b**6*c**2*d**7 - 2*b**7*c**3*d**6) + x**2*(2*a**4*b**3*d**9 - 2*a**3*b**4*c*d**8 - 6*a**2*b**5*c**2*d**7 + 10*a*b**6*c**3*d**6 - 4*b**7*c**4*d**5) + x*(4*a**4*b**3*c*d**8 - 10*a**3*b**4*c**2*d**7 + 6*a**2*b**5*c**3*d**6 + 2*a*b**6*c**4*d**5 - 2*b**7*c**5*d**4)) + x/(b**2*d**3)","B",0
293,1,1083,0,33.491730," ","integrate(x**4/(b*x+a)**2/(d*x+c)**3,x)","\frac{a^{3} \left(a d - 4 b c\right) \log{\left(x + \frac{\frac{a^{8} d^{7} \left(a d - 4 b c\right)}{b \left(a d - b c\right)^{4}} - \frac{5 a^{7} c d^{6} \left(a d - 4 b c\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{6} b c^{2} d^{5} \left(a d - 4 b c\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{5} b^{2} c^{3} d^{4} \left(a d - 4 b c\right)}{\left(a d - b c\right)^{4}} + \frac{5 a^{4} b^{3} c^{4} d^{3} \left(a d - 4 b c\right)}{\left(a d - b c\right)^{4}} + a^{4} c d^{3} - \frac{a^{3} b^{4} c^{5} d^{2} \left(a d - 4 b c\right)}{\left(a d - b c\right)^{4}} - 10 a^{3} b c^{2} d^{2} + 4 a^{2} b^{2} c^{3} d - a b^{3} c^{4}}{a^{4} d^{4} - 4 a^{3} b c d^{3} - 6 a^{2} b^{2} c^{2} d^{2} + 4 a b^{3} c^{3} d - b^{4} c^{4}} \right)}}{b^{2} \left(a d - b c\right)^{4}} + \frac{c^{2} \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{\frac{a^{5} b c^{2} d^{4} \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - \frac{5 a^{4} b^{2} c^{3} d^{3} \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} + a^{4} c d^{3} + \frac{10 a^{3} b^{3} c^{4} d^{2} \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - 10 a^{3} b c^{2} d^{2} - \frac{10 a^{2} b^{4} c^{5} d \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} + 4 a^{2} b^{2} c^{3} d + \frac{5 a b^{5} c^{6} \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{4}} - a b^{3} c^{4} - \frac{b^{6} c^{7} \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right)}{d \left(a d - b c\right)^{4}}}{a^{4} d^{4} - 4 a^{3} b c d^{3} - 6 a^{2} b^{2} c^{2} d^{2} + 4 a b^{3} c^{3} d - b^{4} c^{4}} \right)}}{d^{3} \left(a d - b c\right)^{4}} + \frac{2 a^{4} c^{2} d^{3} + 7 a^{2} b^{2} c^{4} d - 3 a b^{3} c^{5} + x^{2} \left(2 a^{4} d^{5} + 8 a b^{3} c^{3} d^{2} - 4 b^{4} c^{4} d\right) + x \left(4 a^{4} c d^{4} + 8 a^{2} b^{2} c^{3} d^{2} + 3 a b^{3} c^{4} d - 3 b^{4} c^{5}\right)}{2 a^{4} b^{2} c^{2} d^{6} - 6 a^{3} b^{3} c^{3} d^{5} + 6 a^{2} b^{4} c^{4} d^{4} - 2 a b^{5} c^{5} d^{3} + x^{3} \left(2 a^{3} b^{3} d^{8} - 6 a^{2} b^{4} c d^{7} + 6 a b^{5} c^{2} d^{6} - 2 b^{6} c^{3} d^{5}\right) + x^{2} \left(2 a^{4} b^{2} d^{8} - 2 a^{3} b^{3} c d^{7} - 6 a^{2} b^{4} c^{2} d^{6} + 10 a b^{5} c^{3} d^{5} - 4 b^{6} c^{4} d^{4}\right) + x \left(4 a^{4} b^{2} c d^{7} - 10 a^{3} b^{3} c^{2} d^{6} + 6 a^{2} b^{4} c^{3} d^{5} + 2 a b^{5} c^{4} d^{4} - 2 b^{6} c^{5} d^{3}\right)}"," ",0,"a**3*(a*d - 4*b*c)*log(x + (a**8*d**7*(a*d - 4*b*c)/(b*(a*d - b*c)**4) - 5*a**7*c*d**6*(a*d - 4*b*c)/(a*d - b*c)**4 + 10*a**6*b*c**2*d**5*(a*d - 4*b*c)/(a*d - b*c)**4 - 10*a**5*b**2*c**3*d**4*(a*d - 4*b*c)/(a*d - b*c)**4 + 5*a**4*b**3*c**4*d**3*(a*d - 4*b*c)/(a*d - b*c)**4 + a**4*c*d**3 - a**3*b**4*c**5*d**2*(a*d - 4*b*c)/(a*d - b*c)**4 - 10*a**3*b*c**2*d**2 + 4*a**2*b**2*c**3*d - a*b**3*c**4)/(a**4*d**4 - 4*a**3*b*c*d**3 - 6*a**2*b**2*c**2*d**2 + 4*a*b**3*c**3*d - b**4*c**4))/(b**2*(a*d - b*c)**4) + c**2*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)*log(x + (a**5*b*c**2*d**4*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**4 - 5*a**4*b**2*c**3*d**3*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**4 + a**4*c*d**3 + 10*a**3*b**3*c**4*d**2*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**4 - 10*a**3*b*c**2*d**2 - 10*a**2*b**4*c**5*d*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**4 + 4*a**2*b**2*c**3*d + 5*a*b**5*c**6*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**4 - a*b**3*c**4 - b**6*c**7*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)/(d*(a*d - b*c)**4))/(a**4*d**4 - 4*a**3*b*c*d**3 - 6*a**2*b**2*c**2*d**2 + 4*a*b**3*c**3*d - b**4*c**4))/(d**3*(a*d - b*c)**4) + (2*a**4*c**2*d**3 + 7*a**2*b**2*c**4*d - 3*a*b**3*c**5 + x**2*(2*a**4*d**5 + 8*a*b**3*c**3*d**2 - 4*b**4*c**4*d) + x*(4*a**4*c*d**4 + 8*a**2*b**2*c**3*d**2 + 3*a*b**3*c**4*d - 3*b**4*c**5))/(2*a**4*b**2*c**2*d**6 - 6*a**3*b**3*c**3*d**5 + 6*a**2*b**4*c**4*d**4 - 2*a*b**5*c**5*d**3 + x**3*(2*a**3*b**3*d**8 - 6*a**2*b**4*c*d**7 + 6*a*b**5*c**2*d**6 - 2*b**6*c**3*d**5) + x**2*(2*a**4*b**2*d**8 - 2*a**3*b**3*c*d**7 - 6*a**2*b**4*c**2*d**6 + 10*a*b**5*c**3*d**5 - 4*b**6*c**4*d**4) + x*(4*a**4*b**2*c*d**7 - 10*a**3*b**3*c**2*d**6 + 6*a**2*b**4*c**3*d**5 + 2*a*b**5*c**4*d**4 - 2*b**6*c**5*d**3))","B",0
294,1,717,0,2.092188," ","integrate(x**3/(b*x+a)**2/(d*x+c)**3,x)","- \frac{3 a^{2} c \log{\left(x + \frac{- \frac{3 a^{7} c d^{5}}{\left(a d - b c\right)^{4}} + \frac{15 a^{6} b c^{2} d^{4}}{\left(a d - b c\right)^{4}} - \frac{30 a^{5} b^{2} c^{3} d^{3}}{\left(a d - b c\right)^{4}} + \frac{30 a^{4} b^{3} c^{4} d^{2}}{\left(a d - b c\right)^{4}} - \frac{15 a^{3} b^{4} c^{5} d}{\left(a d - b c\right)^{4}} + 3 a^{3} c d + \frac{3 a^{2} b^{5} c^{6}}{\left(a d - b c\right)^{4}} + 3 a^{2} b c^{2}}{6 a^{2} b c d} \right)}}{\left(a d - b c\right)^{4}} + \frac{3 a^{2} c \log{\left(x + \frac{\frac{3 a^{7} c d^{5}}{\left(a d - b c\right)^{4}} - \frac{15 a^{6} b c^{2} d^{4}}{\left(a d - b c\right)^{4}} + \frac{30 a^{5} b^{2} c^{3} d^{3}}{\left(a d - b c\right)^{4}} - \frac{30 a^{4} b^{3} c^{4} d^{2}}{\left(a d - b c\right)^{4}} + \frac{15 a^{3} b^{4} c^{5} d}{\left(a d - b c\right)^{4}} + 3 a^{3} c d - \frac{3 a^{2} b^{5} c^{6}}{\left(a d - b c\right)^{4}} + 3 a^{2} b c^{2}}{6 a^{2} b c d} \right)}}{\left(a d - b c\right)^{4}} + \frac{- 2 a^{3} c^{2} d^{2} - 5 a^{2} b c^{3} d + a b^{2} c^{4} + x^{2} \left(- 2 a^{3} d^{4} - 6 a b^{2} c^{2} d^{2} + 2 b^{3} c^{3} d\right) + x \left(- 4 a^{3} c d^{3} - 6 a^{2} b c^{2} d^{2} - 3 a b^{2} c^{3} d + b^{3} c^{4}\right)}{2 a^{4} b c^{2} d^{5} - 6 a^{3} b^{2} c^{3} d^{4} + 6 a^{2} b^{3} c^{4} d^{3} - 2 a b^{4} c^{5} d^{2} + x^{3} \left(2 a^{3} b^{2} d^{7} - 6 a^{2} b^{3} c d^{6} + 6 a b^{4} c^{2} d^{5} - 2 b^{5} c^{3} d^{4}\right) + x^{2} \left(2 a^{4} b d^{7} - 2 a^{3} b^{2} c d^{6} - 6 a^{2} b^{3} c^{2} d^{5} + 10 a b^{4} c^{3} d^{4} - 4 b^{5} c^{4} d^{3}\right) + x \left(4 a^{4} b c d^{6} - 10 a^{3} b^{2} c^{2} d^{5} + 6 a^{2} b^{3} c^{3} d^{4} + 2 a b^{4} c^{4} d^{3} - 2 b^{5} c^{5} d^{2}\right)}"," ",0,"-3*a**2*c*log(x + (-3*a**7*c*d**5/(a*d - b*c)**4 + 15*a**6*b*c**2*d**4/(a*d - b*c)**4 - 30*a**5*b**2*c**3*d**3/(a*d - b*c)**4 + 30*a**4*b**3*c**4*d**2/(a*d - b*c)**4 - 15*a**3*b**4*c**5*d/(a*d - b*c)**4 + 3*a**3*c*d + 3*a**2*b**5*c**6/(a*d - b*c)**4 + 3*a**2*b*c**2)/(6*a**2*b*c*d))/(a*d - b*c)**4 + 3*a**2*c*log(x + (3*a**7*c*d**5/(a*d - b*c)**4 - 15*a**6*b*c**2*d**4/(a*d - b*c)**4 + 30*a**5*b**2*c**3*d**3/(a*d - b*c)**4 - 30*a**4*b**3*c**4*d**2/(a*d - b*c)**4 + 15*a**3*b**4*c**5*d/(a*d - b*c)**4 + 3*a**3*c*d - 3*a**2*b**5*c**6/(a*d - b*c)**4 + 3*a**2*b*c**2)/(6*a**2*b*c*d))/(a*d - b*c)**4 + (-2*a**3*c**2*d**2 - 5*a**2*b*c**3*d + a*b**2*c**4 + x**2*(-2*a**3*d**4 - 6*a*b**2*c**2*d**2 + 2*b**3*c**3*d) + x*(-4*a**3*c*d**3 - 6*a**2*b*c**2*d**2 - 3*a*b**2*c**3*d + b**3*c**4))/(2*a**4*b*c**2*d**5 - 6*a**3*b**2*c**3*d**4 + 6*a**2*b**3*c**4*d**3 - 2*a*b**4*c**5*d**2 + x**3*(2*a**3*b**2*d**7 - 6*a**2*b**3*c*d**6 + 6*a*b**4*c**2*d**5 - 2*b**5*c**3*d**4) + x**2*(2*a**4*b*d**7 - 2*a**3*b**2*c*d**6 - 6*a**2*b**3*c**2*d**5 + 10*a*b**4*c**3*d**4 - 4*b**5*c**4*d**3) + x*(4*a**4*b*c*d**6 - 10*a**3*b**2*c**2*d**5 + 6*a**2*b**3*c**3*d**4 + 2*a*b**4*c**4*d**3 - 2*b**5*c**5*d**2))","B",0
295,1,787,0,2.260053," ","integrate(x**2/(b*x+a)**2/(d*x+c)**3,x)","\frac{a \left(a d + 2 b c\right) \log{\left(x + \frac{- \frac{a^{6} d^{5} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + \frac{5 a^{5} b c d^{4} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{4} b^{2} c^{2} d^{3} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{3} b^{3} c^{3} d^{2} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + a^{3} d^{2} - \frac{5 a^{2} b^{4} c^{4} d \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + 3 a^{2} b c d + \frac{a b^{5} c^{5} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + 2 a b^{2} c^{2}}{2 a^{2} b d^{2} + 4 a b^{2} c d} \right)}}{\left(a d - b c\right)^{4}} - \frac{a \left(a d + 2 b c\right) \log{\left(x + \frac{\frac{a^{6} d^{5} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} - \frac{5 a^{5} b c d^{4} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{4} b^{2} c^{2} d^{3} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{3} b^{3} c^{3} d^{2} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + a^{3} d^{2} + \frac{5 a^{2} b^{4} c^{4} d \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + 3 a^{2} b c d - \frac{a b^{5} c^{5} \left(a d + 2 b c\right)}{\left(a d - b c\right)^{4}} + 2 a b^{2} c^{2}}{2 a^{2} b d^{2} + 4 a b^{2} c d} \right)}}{\left(a d - b c\right)^{4}} + \frac{5 a^{2} c^{2} d + a b c^{3} + x^{2} \left(2 a^{2} d^{3} + 4 a b c d^{2}\right) + x \left(8 a^{2} c d^{2} + 3 a b c^{2} d + b^{2} c^{3}\right)}{2 a^{4} c^{2} d^{4} - 6 a^{3} b c^{3} d^{3} + 6 a^{2} b^{2} c^{4} d^{2} - 2 a b^{3} c^{5} d + x^{3} \left(2 a^{3} b d^{6} - 6 a^{2} b^{2} c d^{5} + 6 a b^{3} c^{2} d^{4} - 2 b^{4} c^{3} d^{3}\right) + x^{2} \left(2 a^{4} d^{6} - 2 a^{3} b c d^{5} - 6 a^{2} b^{2} c^{2} d^{4} + 10 a b^{3} c^{3} d^{3} - 4 b^{4} c^{4} d^{2}\right) + x \left(4 a^{4} c d^{5} - 10 a^{3} b c^{2} d^{4} + 6 a^{2} b^{2} c^{3} d^{3} + 2 a b^{3} c^{4} d^{2} - 2 b^{4} c^{5} d\right)}"," ",0,"a*(a*d + 2*b*c)*log(x + (-a**6*d**5*(a*d + 2*b*c)/(a*d - b*c)**4 + 5*a**5*b*c*d**4*(a*d + 2*b*c)/(a*d - b*c)**4 - 10*a**4*b**2*c**2*d**3*(a*d + 2*b*c)/(a*d - b*c)**4 + 10*a**3*b**3*c**3*d**2*(a*d + 2*b*c)/(a*d - b*c)**4 + a**3*d**2 - 5*a**2*b**4*c**4*d*(a*d + 2*b*c)/(a*d - b*c)**4 + 3*a**2*b*c*d + a*b**5*c**5*(a*d + 2*b*c)/(a*d - b*c)**4 + 2*a*b**2*c**2)/(2*a**2*b*d**2 + 4*a*b**2*c*d))/(a*d - b*c)**4 - a*(a*d + 2*b*c)*log(x + (a**6*d**5*(a*d + 2*b*c)/(a*d - b*c)**4 - 5*a**5*b*c*d**4*(a*d + 2*b*c)/(a*d - b*c)**4 + 10*a**4*b**2*c**2*d**3*(a*d + 2*b*c)/(a*d - b*c)**4 - 10*a**3*b**3*c**3*d**2*(a*d + 2*b*c)/(a*d - b*c)**4 + a**3*d**2 + 5*a**2*b**4*c**4*d*(a*d + 2*b*c)/(a*d - b*c)**4 + 3*a**2*b*c*d - a*b**5*c**5*(a*d + 2*b*c)/(a*d - b*c)**4 + 2*a*b**2*c**2)/(2*a**2*b*d**2 + 4*a*b**2*c*d))/(a*d - b*c)**4 + (5*a**2*c**2*d + a*b*c**3 + x**2*(2*a**2*d**3 + 4*a*b*c*d**2) + x*(8*a**2*c*d**2 + 3*a*b*c**2*d + b**2*c**3))/(2*a**4*c**2*d**4 - 6*a**3*b*c**3*d**3 + 6*a**2*b**2*c**4*d**2 - 2*a*b**3*c**5*d + x**3*(2*a**3*b*d**6 - 6*a**2*b**2*c*d**5 + 6*a*b**3*c**2*d**4 - 2*b**4*c**3*d**3) + x**2*(2*a**4*d**6 - 2*a**3*b*c*d**5 - 6*a**2*b**2*c**2*d**4 + 10*a*b**3*c**3*d**3 - 4*b**4*c**4*d**2) + x*(4*a**4*c*d**5 - 10*a**3*b*c**2*d**4 + 6*a**2*b**2*c**3*d**3 + 2*a*b**3*c**4*d**2 - 2*b**4*c**5*d))","B",0
296,1,774,0,2.351425," ","integrate(x/(b*x+a)**2/(d*x+c)**3,x)","- \frac{b \left(2 a d + b c\right) \log{\left(x + \frac{- \frac{a^{5} b d^{5} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + \frac{5 a^{4} b^{2} c d^{4} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{3} b^{3} c^{2} d^{3} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{2} b^{4} c^{3} d^{2} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + 2 a^{2} b d^{2} - \frac{5 a b^{5} c^{4} d \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + 3 a b^{2} c d + \frac{b^{6} c^{5} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + b^{3} c^{2}}{4 a b^{2} d^{2} + 2 b^{3} c d} \right)}}{\left(a d - b c\right)^{4}} + \frac{b \left(2 a d + b c\right) \log{\left(x + \frac{\frac{a^{5} b d^{5} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} - \frac{5 a^{4} b^{2} c d^{4} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{3} b^{3} c^{2} d^{3} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{2} b^{4} c^{3} d^{2} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + 2 a^{2} b d^{2} + \frac{5 a b^{5} c^{4} d \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + 3 a b^{2} c d - \frac{b^{6} c^{5} \left(2 a d + b c\right)}{\left(a d - b c\right)^{4}} + b^{3} c^{2}}{4 a b^{2} d^{2} + 2 b^{3} c d} \right)}}{\left(a d - b c\right)^{4}} + \frac{- a^{2} c d - 5 a b c^{2} + x^{2} \left(- 4 a b d^{2} - 2 b^{2} c d\right) + x \left(- 2 a^{2} d^{2} - 7 a b c d - 3 b^{2} c^{2}\right)}{2 a^{4} c^{2} d^{3} - 6 a^{3} b c^{3} d^{2} + 6 a^{2} b^{2} c^{4} d - 2 a b^{3} c^{5} + x^{3} \left(2 a^{3} b d^{5} - 6 a^{2} b^{2} c d^{4} + 6 a b^{3} c^{2} d^{3} - 2 b^{4} c^{3} d^{2}\right) + x^{2} \left(2 a^{4} d^{5} - 2 a^{3} b c d^{4} - 6 a^{2} b^{2} c^{2} d^{3} + 10 a b^{3} c^{3} d^{2} - 4 b^{4} c^{4} d\right) + x \left(4 a^{4} c d^{4} - 10 a^{3} b c^{2} d^{3} + 6 a^{2} b^{2} c^{3} d^{2} + 2 a b^{3} c^{4} d - 2 b^{4} c^{5}\right)}"," ",0,"-b*(2*a*d + b*c)*log(x + (-a**5*b*d**5*(2*a*d + b*c)/(a*d - b*c)**4 + 5*a**4*b**2*c*d**4*(2*a*d + b*c)/(a*d - b*c)**4 - 10*a**3*b**3*c**2*d**3*(2*a*d + b*c)/(a*d - b*c)**4 + 10*a**2*b**4*c**3*d**2*(2*a*d + b*c)/(a*d - b*c)**4 + 2*a**2*b*d**2 - 5*a*b**5*c**4*d*(2*a*d + b*c)/(a*d - b*c)**4 + 3*a*b**2*c*d + b**6*c**5*(2*a*d + b*c)/(a*d - b*c)**4 + b**3*c**2)/(4*a*b**2*d**2 + 2*b**3*c*d))/(a*d - b*c)**4 + b*(2*a*d + b*c)*log(x + (a**5*b*d**5*(2*a*d + b*c)/(a*d - b*c)**4 - 5*a**4*b**2*c*d**4*(2*a*d + b*c)/(a*d - b*c)**4 + 10*a**3*b**3*c**2*d**3*(2*a*d + b*c)/(a*d - b*c)**4 - 10*a**2*b**4*c**3*d**2*(2*a*d + b*c)/(a*d - b*c)**4 + 2*a**2*b*d**2 + 5*a*b**5*c**4*d*(2*a*d + b*c)/(a*d - b*c)**4 + 3*a*b**2*c*d - b**6*c**5*(2*a*d + b*c)/(a*d - b*c)**4 + b**3*c**2)/(4*a*b**2*d**2 + 2*b**3*c*d))/(a*d - b*c)**4 + (-a**2*c*d - 5*a*b*c**2 + x**2*(-4*a*b*d**2 - 2*b**2*c*d) + x*(-2*a**2*d**2 - 7*a*b*c*d - 3*b**2*c**2))/(2*a**4*c**2*d**3 - 6*a**3*b*c**3*d**2 + 6*a**2*b**2*c**4*d - 2*a*b**3*c**5 + x**3*(2*a**3*b*d**5 - 6*a**2*b**2*c*d**4 + 6*a*b**3*c**2*d**3 - 2*b**4*c**3*d**2) + x**2*(2*a**4*d**5 - 2*a**3*b*c*d**4 - 6*a**2*b**2*c**2*d**3 + 10*a*b**3*c**3*d**2 - 4*b**4*c**4*d) + x*(4*a**4*c*d**4 - 10*a**3*b*c**2*d**3 + 6*a**2*b**2*c**3*d**2 + 2*a*b**3*c**4*d - 2*b**4*c**5))","B",0
297,1,632,0,2.011374," ","integrate(1/(b*x+a)**2/(d*x+c)**3,x)","\frac{3 b^{2} d \log{\left(x + \frac{- \frac{3 a^{5} b^{2} d^{6}}{\left(a d - b c\right)^{4}} + \frac{15 a^{4} b^{3} c d^{5}}{\left(a d - b c\right)^{4}} - \frac{30 a^{3} b^{4} c^{2} d^{4}}{\left(a d - b c\right)^{4}} + \frac{30 a^{2} b^{5} c^{3} d^{3}}{\left(a d - b c\right)^{4}} - \frac{15 a b^{6} c^{4} d^{2}}{\left(a d - b c\right)^{4}} + 3 a b^{2} d^{2} + \frac{3 b^{7} c^{5} d}{\left(a d - b c\right)^{4}} + 3 b^{3} c d}{6 b^{3} d^{2}} \right)}}{\left(a d - b c\right)^{4}} - \frac{3 b^{2} d \log{\left(x + \frac{\frac{3 a^{5} b^{2} d^{6}}{\left(a d - b c\right)^{4}} - \frac{15 a^{4} b^{3} c d^{5}}{\left(a d - b c\right)^{4}} + \frac{30 a^{3} b^{4} c^{2} d^{4}}{\left(a d - b c\right)^{4}} - \frac{30 a^{2} b^{5} c^{3} d^{3}}{\left(a d - b c\right)^{4}} + \frac{15 a b^{6} c^{4} d^{2}}{\left(a d - b c\right)^{4}} + 3 a b^{2} d^{2} - \frac{3 b^{7} c^{5} d}{\left(a d - b c\right)^{4}} + 3 b^{3} c d}{6 b^{3} d^{2}} \right)}}{\left(a d - b c\right)^{4}} + \frac{- a^{2} d^{2} + 5 a b c d + 2 b^{2} c^{2} + 6 b^{2} d^{2} x^{2} + x \left(3 a b d^{2} + 9 b^{2} c d\right)}{2 a^{4} c^{2} d^{3} - 6 a^{3} b c^{3} d^{2} + 6 a^{2} b^{2} c^{4} d - 2 a b^{3} c^{5} + x^{3} \left(2 a^{3} b d^{5} - 6 a^{2} b^{2} c d^{4} + 6 a b^{3} c^{2} d^{3} - 2 b^{4} c^{3} d^{2}\right) + x^{2} \left(2 a^{4} d^{5} - 2 a^{3} b c d^{4} - 6 a^{2} b^{2} c^{2} d^{3} + 10 a b^{3} c^{3} d^{2} - 4 b^{4} c^{4} d\right) + x \left(4 a^{4} c d^{4} - 10 a^{3} b c^{2} d^{3} + 6 a^{2} b^{2} c^{3} d^{2} + 2 a b^{3} c^{4} d - 2 b^{4} c^{5}\right)}"," ",0,"3*b**2*d*log(x + (-3*a**5*b**2*d**6/(a*d - b*c)**4 + 15*a**4*b**3*c*d**5/(a*d - b*c)**4 - 30*a**3*b**4*c**2*d**4/(a*d - b*c)**4 + 30*a**2*b**5*c**3*d**3/(a*d - b*c)**4 - 15*a*b**6*c**4*d**2/(a*d - b*c)**4 + 3*a*b**2*d**2 + 3*b**7*c**5*d/(a*d - b*c)**4 + 3*b**3*c*d)/(6*b**3*d**2))/(a*d - b*c)**4 - 3*b**2*d*log(x + (3*a**5*b**2*d**6/(a*d - b*c)**4 - 15*a**4*b**3*c*d**5/(a*d - b*c)**4 + 30*a**3*b**4*c**2*d**4/(a*d - b*c)**4 - 30*a**2*b**5*c**3*d**3/(a*d - b*c)**4 + 15*a*b**6*c**4*d**2/(a*d - b*c)**4 + 3*a*b**2*d**2 - 3*b**7*c**5*d/(a*d - b*c)**4 + 3*b**3*c*d)/(6*b**3*d**2))/(a*d - b*c)**4 + (-a**2*d**2 + 5*a*b*c*d + 2*b**2*c**2 + 6*b**2*d**2*x**2 + x*(3*a*b*d**2 + 9*b**2*c*d))/(2*a**4*c**2*d**3 - 6*a**3*b*c**3*d**2 + 6*a**2*b**2*c**4*d - 2*a*b**3*c**5 + x**3*(2*a**3*b*d**5 - 6*a**2*b**2*c*d**4 + 6*a*b**3*c**2*d**3 - 2*b**4*c**3*d**2) + x**2*(2*a**4*d**5 - 2*a**3*b*c*d**4 - 6*a**2*b**2*c**2*d**3 + 10*a*b**3*c**3*d**2 - 4*b**4*c**4*d) + x*(4*a**4*c*d**4 - 10*a**3*b*c**2*d**3 + 6*a**2*b**2*c**3*d**2 + 2*a*b**3*c**4*d - 2*b**4*c**5))","B",0
298,-1,0,0,0.000000," ","integrate(1/x/(b*x+a)**2/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,-1,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**2/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,-1,0,0,0.000000," ","integrate(1/x**3/(b*x+a)**2/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
301,1,284,0,2.103342," ","integrate(x**3*(d*x+c)**3/(b*x+a)**3,x)","\frac{3 a \left(a d - b c\right) \left(5 a^{2} d^{2} - 5 a b c d + b^{2} c^{2}\right) \log{\left(a + b x \right)}}{b^{7}} + x^{3} \left(- \frac{a d^{3}}{b^{4}} + \frac{c d^{2}}{b^{3}}\right) + x^{2} \left(\frac{3 a^{2} d^{3}}{b^{5}} - \frac{9 a c d^{2}}{2 b^{4}} + \frac{3 c^{2} d}{2 b^{3}}\right) + x \left(- \frac{10 a^{3} d^{3}}{b^{6}} + \frac{18 a^{2} c d^{2}}{b^{5}} - \frac{9 a c^{2} d}{b^{4}} + \frac{c^{3}}{b^{3}}\right) + \frac{11 a^{6} d^{3} - 27 a^{5} b c d^{2} + 21 a^{4} b^{2} c^{2} d - 5 a^{3} b^{3} c^{3} + x \left(12 a^{5} b d^{3} - 30 a^{4} b^{2} c d^{2} + 24 a^{3} b^{3} c^{2} d - 6 a^{2} b^{4} c^{3}\right)}{2 a^{2} b^{7} + 4 a b^{8} x + 2 b^{9} x^{2}} + \frac{d^{3} x^{4}}{4 b^{3}}"," ",0,"3*a*(a*d - b*c)*(5*a**2*d**2 - 5*a*b*c*d + b**2*c**2)*log(a + b*x)/b**7 + x**3*(-a*d**3/b**4 + c*d**2/b**3) + x**2*(3*a**2*d**3/b**5 - 9*a*c*d**2/(2*b**4) + 3*c**2*d/(2*b**3)) + x*(-10*a**3*d**3/b**6 + 18*a**2*c*d**2/b**5 - 9*a*c**2*d/b**4 + c**3/b**3) + (11*a**6*d**3 - 27*a**5*b*c*d**2 + 21*a**4*b**2*c**2*d - 5*a**3*b**3*c**3 + x*(12*a**5*b*d**3 - 30*a**4*b**2*c*d**2 + 24*a**3*b**3*c**2*d - 6*a**2*b**4*c**3))/(2*a**2*b**7 + 4*a*b**8*x + 2*b**9*x**2) + d**3*x**4/(4*b**3)","A",0
302,1,235,0,1.583725," ","integrate(x**2*(d*x+c)**3/(b*x+a)**3,x)","x^{2} \left(- \frac{3 a d^{3}}{2 b^{4}} + \frac{3 c d^{2}}{2 b^{3}}\right) + x \left(\frac{6 a^{2} d^{3}}{b^{5}} - \frac{9 a c d^{2}}{b^{4}} + \frac{3 c^{2} d}{b^{3}}\right) + \frac{- 9 a^{5} d^{3} + 21 a^{4} b c d^{2} - 15 a^{3} b^{2} c^{2} d + 3 a^{2} b^{3} c^{3} + x \left(- 10 a^{4} b d^{3} + 24 a^{3} b^{2} c d^{2} - 18 a^{2} b^{3} c^{2} d + 4 a b^{4} c^{3}\right)}{2 a^{2} b^{6} + 4 a b^{7} x + 2 b^{8} x^{2}} + \frac{d^{3} x^{3}}{3 b^{3}} - \frac{\left(a d - b c\right) \left(10 a^{2} d^{2} - 8 a b c d + b^{2} c^{2}\right) \log{\left(a + b x \right)}}{b^{6}}"," ",0,"x**2*(-3*a*d**3/(2*b**4) + 3*c*d**2/(2*b**3)) + x*(6*a**2*d**3/b**5 - 9*a*c*d**2/b**4 + 3*c**2*d/b**3) + (-9*a**5*d**3 + 21*a**4*b*c*d**2 - 15*a**3*b**2*c**2*d + 3*a**2*b**3*c**3 + x*(-10*a**4*b*d**3 + 24*a**3*b**2*c*d**2 - 18*a**2*b**3*c**2*d + 4*a*b**4*c**3))/(2*a**2*b**6 + 4*a*b**7*x + 2*b**8*x**2) + d**3*x**3/(3*b**3) - (a*d - b*c)*(10*a**2*d**2 - 8*a*b*c*d + b**2*c**2)*log(a + b*x)/b**6","A",0
303,1,175,0,1.199348," ","integrate(x*(d*x+c)**3/(b*x+a)**3,x)","x \left(- \frac{3 a d^{3}}{b^{4}} + \frac{3 c d^{2}}{b^{3}}\right) + \frac{7 a^{4} d^{3} - 15 a^{3} b c d^{2} + 9 a^{2} b^{2} c^{2} d - a b^{3} c^{3} + x \left(8 a^{3} b d^{3} - 18 a^{2} b^{2} c d^{2} + 12 a b^{3} c^{2} d - 2 b^{4} c^{3}\right)}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{d^{3} x^{2}}{2 b^{3}} + \frac{3 d \left(a d - b c\right) \left(2 a d - b c\right) \log{\left(a + b x \right)}}{b^{5}}"," ",0,"x*(-3*a*d**3/b**4 + 3*c*d**2/b**3) + (7*a**4*d**3 - 15*a**3*b*c*d**2 + 9*a**2*b**2*c**2*d - a*b**3*c**3 + x*(8*a**3*b*d**3 - 18*a**2*b**2*c*d**2 + 12*a*b**3*c**2*d - 2*b**4*c**3))/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + d**3*x**2/(2*b**3) + 3*d*(a*d - b*c)*(2*a*d - b*c)*log(a + b*x)/b**5","A",0
304,1,128,0,1.069285," ","integrate((d*x+c)**3/(b*x+a)**3,x)","\frac{- 5 a^{3} d^{3} + 9 a^{2} b c d^{2} - 3 a b^{2} c^{2} d - b^{3} c^{3} + x \left(- 6 a^{2} b d^{3} + 12 a b^{2} c d^{2} - 6 b^{3} c^{2} d\right)}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{d^{3} x}{b^{3}} - \frac{3 d^{2} \left(a d - b c\right) \log{\left(a + b x \right)}}{b^{4}}"," ",0,"(-5*a**3*d**3 + 9*a**2*b*c*d**2 - 3*a*b**2*c**2*d - b**3*c**3 + x*(-6*a**2*b*d**3 + 12*a*b**2*c*d**2 - 6*b**3*c**2*d))/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + d**3*x/b**3 - 3*d**2*(a*d - b*c)*log(a + b*x)/b**4","A",0
305,1,209,0,1.494210," ","integrate((d*x+c)**3/x/(b*x+a)**3,x)","\frac{3 a^{4} d^{3} - 3 a^{3} b c d^{2} - 3 a^{2} b^{2} c^{2} d + 3 a b^{3} c^{3} + x \left(4 a^{3} b d^{3} - 6 a^{2} b^{2} c d^{2} + 2 b^{4} c^{3}\right)}{2 a^{4} b^{3} + 4 a^{3} b^{4} x + 2 a^{2} b^{5} x^{2}} + \frac{c^{3} \log{\left(x \right)}}{a^{3}} + \frac{\left(a d - b c\right) \left(a^{2} d^{2} + a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{- a b^{2} c^{3} + \frac{a \left(a d - b c\right) \left(a^{2} d^{2} + a b c d + b^{2} c^{2}\right)}{b}}{a^{3} d^{3} - 2 b^{3} c^{3}} \right)}}{a^{3} b^{3}}"," ",0,"(3*a**4*d**3 - 3*a**3*b*c*d**2 - 3*a**2*b**2*c**2*d + 3*a*b**3*c**3 + x*(4*a**3*b*d**3 - 6*a**2*b**2*c*d**2 + 2*b**4*c**3))/(2*a**4*b**3 + 4*a**3*b**4*x + 2*a**2*b**5*x**2) + c**3*log(x)/a**3 + (a*d - b*c)*(a**2*d**2 + a*b*c*d + b**2*c**2)*log(x + (-a*b**2*c**3 + a*(a*d - b*c)*(a**2*d**2 + a*b*c*d + b**2*c**2)/b)/(a**3*d**3 - 2*b**3*c**3))/(a**3*b**3)","B",0
306,1,262,0,1.574654," ","integrate((d*x+c)**3/x**2/(b*x+a)**3,x)","\frac{- 2 a^{2} b^{2} c^{3} + x^{2} \left(- 2 a^{3} b d^{3} + 6 a b^{3} c^{2} d - 6 b^{4} c^{3}\right) + x \left(- a^{4} d^{3} - 3 a^{3} b c d^{2} + 9 a^{2} b^{2} c^{2} d - 9 a b^{3} c^{3}\right)}{2 a^{5} b^{2} x + 4 a^{4} b^{3} x^{2} + 2 a^{3} b^{4} x^{3}} + \frac{3 c^{2} \left(a d - b c\right) \log{\left(x + \frac{3 a^{2} c^{2} d - 3 a b c^{3} - 3 a c^{2} \left(a d - b c\right)}{6 a b c^{2} d - 6 b^{2} c^{3}} \right)}}{a^{4}} - \frac{3 c^{2} \left(a d - b c\right) \log{\left(x + \frac{3 a^{2} c^{2} d - 3 a b c^{3} + 3 a c^{2} \left(a d - b c\right)}{6 a b c^{2} d - 6 b^{2} c^{3}} \right)}}{a^{4}}"," ",0,"(-2*a**2*b**2*c**3 + x**2*(-2*a**3*b*d**3 + 6*a*b**3*c**2*d - 6*b**4*c**3) + x*(-a**4*d**3 - 3*a**3*b*c*d**2 + 9*a**2*b**2*c**2*d - 9*a*b**3*c**3))/(2*a**5*b**2*x + 4*a**4*b**3*x**2 + 2*a**3*b**4*x**3) + 3*c**2*(a*d - b*c)*log(x + (3*a**2*c**2*d - 3*a*b*c**3 - 3*a*c**2*(a*d - b*c))/(6*a*b*c**2*d - 6*b**2*c**3))/a**4 - 3*c**2*(a*d - b*c)*log(x + (3*a**2*c**2*d - 3*a*b*c**3 + 3*a*c**2*(a*d - b*c))/(6*a*b*c**2*d - 6*b**2*c**3))/a**4","B",0
307,1,371,0,1.838680," ","integrate((d*x+c)**3/x**3/(b*x+a)**3,x)","\frac{- a^{3} b c^{3} + x^{3} \left(6 a^{2} b^{2} c d^{2} - 18 a b^{3} c^{2} d + 12 b^{4} c^{3}\right) + x^{2} \left(- a^{4} d^{3} + 9 a^{3} b c d^{2} - 27 a^{2} b^{2} c^{2} d + 18 a b^{3} c^{3}\right) + x \left(- 6 a^{3} b c^{2} d + 4 a^{2} b^{2} c^{3}\right)}{2 a^{6} b x^{2} + 4 a^{5} b^{2} x^{3} + 2 a^{4} b^{3} x^{4}} + \frac{3 c \left(a d - 2 b c\right) \left(a d - b c\right) \log{\left(x + \frac{3 a^{3} c d^{2} - 9 a^{2} b c^{2} d + 6 a b^{2} c^{3} - 3 a c \left(a d - 2 b c\right) \left(a d - b c\right)}{6 a^{2} b c d^{2} - 18 a b^{2} c^{2} d + 12 b^{3} c^{3}} \right)}}{a^{5}} - \frac{3 c \left(a d - 2 b c\right) \left(a d - b c\right) \log{\left(x + \frac{3 a^{3} c d^{2} - 9 a^{2} b c^{2} d + 6 a b^{2} c^{3} + 3 a c \left(a d - 2 b c\right) \left(a d - b c\right)}{6 a^{2} b c d^{2} - 18 a b^{2} c^{2} d + 12 b^{3} c^{3}} \right)}}{a^{5}}"," ",0,"(-a**3*b*c**3 + x**3*(6*a**2*b**2*c*d**2 - 18*a*b**3*c**2*d + 12*b**4*c**3) + x**2*(-a**4*d**3 + 9*a**3*b*c*d**2 - 27*a**2*b**2*c**2*d + 18*a*b**3*c**3) + x*(-6*a**3*b*c**2*d + 4*a**2*b**2*c**3))/(2*a**6*b*x**2 + 4*a**5*b**2*x**3 + 2*a**4*b**3*x**4) + 3*c*(a*d - 2*b*c)*(a*d - b*c)*log(x + (3*a**3*c*d**2 - 9*a**2*b*c**2*d + 6*a*b**2*c**3 - 3*a*c*(a*d - 2*b*c)*(a*d - b*c))/(6*a**2*b*c*d**2 - 18*a*b**2*c**2*d + 12*b**3*c**3))/a**5 - 3*c*(a*d - 2*b*c)*(a*d - b*c)*log(x + (3*a**3*c*d**2 - 9*a**2*b*c**2*d + 6*a*b**2*c**3 + 3*a*c*(a*d - 2*b*c)*(a*d - b*c))/(6*a**2*b*c*d**2 - 18*a*b**2*c**2*d + 12*b**3*c**3))/a**5","B",0
308,1,505,0,2.311377," ","integrate((d*x+c)**3/x**4/(b*x+a)**3,x)","\frac{- 2 a^{4} c^{3} + x^{4} \left(6 a^{3} b d^{3} - 54 a^{2} b^{2} c d^{2} + 108 a b^{3} c^{2} d - 60 b^{4} c^{3}\right) + x^{3} \left(9 a^{4} d^{3} - 81 a^{3} b c d^{2} + 162 a^{2} b^{2} c^{2} d - 90 a b^{3} c^{3}\right) + x^{2} \left(- 18 a^{4} c d^{2} + 36 a^{3} b c^{2} d - 20 a^{2} b^{2} c^{3}\right) + x \left(- 9 a^{4} c^{2} d + 5 a^{3} b c^{3}\right)}{6 a^{7} x^{3} + 12 a^{6} b x^{4} + 6 a^{5} b^{2} x^{5}} + \frac{\left(a d - b c\right) \left(a^{2} d^{2} - 8 a b c d + 10 b^{2} c^{2}\right) \log{\left(x + \frac{a^{4} d^{3} - 9 a^{3} b c d^{2} + 18 a^{2} b^{2} c^{2} d - 10 a b^{3} c^{3} - a \left(a d - b c\right) \left(a^{2} d^{2} - 8 a b c d + 10 b^{2} c^{2}\right)}{2 a^{3} b d^{3} - 18 a^{2} b^{2} c d^{2} + 36 a b^{3} c^{2} d - 20 b^{4} c^{3}} \right)}}{a^{6}} - \frac{\left(a d - b c\right) \left(a^{2} d^{2} - 8 a b c d + 10 b^{2} c^{2}\right) \log{\left(x + \frac{a^{4} d^{3} - 9 a^{3} b c d^{2} + 18 a^{2} b^{2} c^{2} d - 10 a b^{3} c^{3} + a \left(a d - b c\right) \left(a^{2} d^{2} - 8 a b c d + 10 b^{2} c^{2}\right)}{2 a^{3} b d^{3} - 18 a^{2} b^{2} c d^{2} + 36 a b^{3} c^{2} d - 20 b^{4} c^{3}} \right)}}{a^{6}}"," ",0,"(-2*a**4*c**3 + x**4*(6*a**3*b*d**3 - 54*a**2*b**2*c*d**2 + 108*a*b**3*c**2*d - 60*b**4*c**3) + x**3*(9*a**4*d**3 - 81*a**3*b*c*d**2 + 162*a**2*b**2*c**2*d - 90*a*b**3*c**3) + x**2*(-18*a**4*c*d**2 + 36*a**3*b*c**2*d - 20*a**2*b**2*c**3) + x*(-9*a**4*c**2*d + 5*a**3*b*c**3))/(6*a**7*x**3 + 12*a**6*b*x**4 + 6*a**5*b**2*x**5) + (a*d - b*c)*(a**2*d**2 - 8*a*b*c*d + 10*b**2*c**2)*log(x + (a**4*d**3 - 9*a**3*b*c*d**2 + 18*a**2*b**2*c**2*d - 10*a*b**3*c**3 - a*(a*d - b*c)*(a**2*d**2 - 8*a*b*c*d + 10*b**2*c**2))/(2*a**3*b*d**3 - 18*a**2*b**2*c*d**2 + 36*a*b**3*c**2*d - 20*b**4*c**3))/a**6 - (a*d - b*c)*(a**2*d**2 - 8*a*b*c*d + 10*b**2*c**2)*log(x + (a**4*d**3 - 9*a**3*b*c*d**2 + 18*a**2*b**2*c**2*d - 10*a*b**3*c**3 + a*(a*d - b*c)*(a**2*d**2 - 8*a*b*c*d + 10*b**2*c**2))/(2*a**3*b*d**3 - 18*a**2*b**2*c*d**2 + 36*a*b**3*c**2*d - 20*b**4*c**3))/a**6","B",0
309,-1,0,0,0.000000," ","integrate(x**7/(b*x+a)**3/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
310,-1,0,0,0.000000," ","integrate(x**6/(b*x+a)**3/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
311,-1,0,0,0.000000," ","integrate(x**5/(b*x+a)**3/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
312,1,1046,0,3.234230," ","integrate(x**4/(b*x+a)**3/(d*x+c)**3,x)","\frac{6 a^{2} c^{2} \log{\left(x + \frac{- \frac{6 a^{8} c^{2} d^{6}}{\left(a d - b c\right)^{5}} + \frac{36 a^{7} b c^{3} d^{5}}{\left(a d - b c\right)^{5}} - \frac{90 a^{6} b^{2} c^{4} d^{4}}{\left(a d - b c\right)^{5}} + \frac{120 a^{5} b^{3} c^{5} d^{3}}{\left(a d - b c\right)^{5}} - \frac{90 a^{4} b^{4} c^{6} d^{2}}{\left(a d - b c\right)^{5}} + \frac{36 a^{3} b^{5} c^{7} d}{\left(a d - b c\right)^{5}} + 6 a^{3} c^{2} d - \frac{6 a^{2} b^{6} c^{8}}{\left(a d - b c\right)^{5}} + 6 a^{2} b c^{3}}{12 a^{2} b c^{2} d} \right)}}{\left(a d - b c\right)^{5}} - \frac{6 a^{2} c^{2} \log{\left(x + \frac{\frac{6 a^{8} c^{2} d^{6}}{\left(a d - b c\right)^{5}} - \frac{36 a^{7} b c^{3} d^{5}}{\left(a d - b c\right)^{5}} + \frac{90 a^{6} b^{2} c^{4} d^{4}}{\left(a d - b c\right)^{5}} - \frac{120 a^{5} b^{3} c^{5} d^{3}}{\left(a d - b c\right)^{5}} + \frac{90 a^{4} b^{4} c^{6} d^{2}}{\left(a d - b c\right)^{5}} - \frac{36 a^{3} b^{5} c^{7} d}{\left(a d - b c\right)^{5}} + 6 a^{3} c^{2} d + \frac{6 a^{2} b^{6} c^{8}}{\left(a d - b c\right)^{5}} + 6 a^{2} b c^{3}}{12 a^{2} b c^{2} d} \right)}}{\left(a d - b c\right)^{5}} + \frac{- a^{5} c^{2} d^{3} + 7 a^{4} b c^{3} d^{2} + 7 a^{3} b^{2} c^{4} d - a^{2} b^{3} c^{5} + x^{3} \left(- 2 a^{4} b d^{5} + 8 a^{3} b^{2} c d^{4} + 8 a b^{4} c^{3} d^{2} - 2 b^{5} c^{4} d\right) + x^{2} \left(- a^{5} d^{5} + 3 a^{4} b c d^{4} + 16 a^{3} b^{2} c^{2} d^{3} + 16 a^{2} b^{3} c^{3} d^{2} + 3 a b^{4} c^{4} d - b^{5} c^{5}\right) + x \left(- 2 a^{5} c d^{4} + 12 a^{4} b c^{2} d^{3} + 16 a^{3} b^{2} c^{3} d^{2} + 12 a^{2} b^{3} c^{4} d - 2 a b^{4} c^{5}\right)}{2 a^{6} b^{2} c^{2} d^{6} - 8 a^{5} b^{3} c^{3} d^{5} + 12 a^{4} b^{4} c^{4} d^{4} - 8 a^{3} b^{5} c^{5} d^{3} + 2 a^{2} b^{6} c^{6} d^{2} + x^{4} \left(2 a^{4} b^{4} d^{8} - 8 a^{3} b^{5} c d^{7} + 12 a^{2} b^{6} c^{2} d^{6} - 8 a b^{7} c^{3} d^{5} + 2 b^{8} c^{4} d^{4}\right) + x^{3} \left(4 a^{5} b^{3} d^{8} - 12 a^{4} b^{4} c d^{7} + 8 a^{3} b^{5} c^{2} d^{6} + 8 a^{2} b^{6} c^{3} d^{5} - 12 a b^{7} c^{4} d^{4} + 4 b^{8} c^{5} d^{3}\right) + x^{2} \left(2 a^{6} b^{2} d^{8} - 18 a^{4} b^{4} c^{2} d^{6} + 32 a^{3} b^{5} c^{3} d^{5} - 18 a^{2} b^{6} c^{4} d^{4} + 2 b^{8} c^{6} d^{2}\right) + x \left(4 a^{6} b^{2} c d^{7} - 12 a^{5} b^{3} c^{2} d^{6} + 8 a^{4} b^{4} c^{3} d^{5} + 8 a^{3} b^{5} c^{4} d^{4} - 12 a^{2} b^{6} c^{5} d^{3} + 4 a b^{7} c^{6} d^{2}\right)}"," ",0,"6*a**2*c**2*log(x + (-6*a**8*c**2*d**6/(a*d - b*c)**5 + 36*a**7*b*c**3*d**5/(a*d - b*c)**5 - 90*a**6*b**2*c**4*d**4/(a*d - b*c)**5 + 120*a**5*b**3*c**5*d**3/(a*d - b*c)**5 - 90*a**4*b**4*c**6*d**2/(a*d - b*c)**5 + 36*a**3*b**5*c**7*d/(a*d - b*c)**5 + 6*a**3*c**2*d - 6*a**2*b**6*c**8/(a*d - b*c)**5 + 6*a**2*b*c**3)/(12*a**2*b*c**2*d))/(a*d - b*c)**5 - 6*a**2*c**2*log(x + (6*a**8*c**2*d**6/(a*d - b*c)**5 - 36*a**7*b*c**3*d**5/(a*d - b*c)**5 + 90*a**6*b**2*c**4*d**4/(a*d - b*c)**5 - 120*a**5*b**3*c**5*d**3/(a*d - b*c)**5 + 90*a**4*b**4*c**6*d**2/(a*d - b*c)**5 - 36*a**3*b**5*c**7*d/(a*d - b*c)**5 + 6*a**3*c**2*d + 6*a**2*b**6*c**8/(a*d - b*c)**5 + 6*a**2*b*c**3)/(12*a**2*b*c**2*d))/(a*d - b*c)**5 + (-a**5*c**2*d**3 + 7*a**4*b*c**3*d**2 + 7*a**3*b**2*c**4*d - a**2*b**3*c**5 + x**3*(-2*a**4*b*d**5 + 8*a**3*b**2*c*d**4 + 8*a*b**4*c**3*d**2 - 2*b**5*c**4*d) + x**2*(-a**5*d**5 + 3*a**4*b*c*d**4 + 16*a**3*b**2*c**2*d**3 + 16*a**2*b**3*c**3*d**2 + 3*a*b**4*c**4*d - b**5*c**5) + x*(-2*a**5*c*d**4 + 12*a**4*b*c**2*d**3 + 16*a**3*b**2*c**3*d**2 + 12*a**2*b**3*c**4*d - 2*a*b**4*c**5))/(2*a**6*b**2*c**2*d**6 - 8*a**5*b**3*c**3*d**5 + 12*a**4*b**4*c**4*d**4 - 8*a**3*b**5*c**5*d**3 + 2*a**2*b**6*c**6*d**2 + x**4*(2*a**4*b**4*d**8 - 8*a**3*b**5*c*d**7 + 12*a**2*b**6*c**2*d**6 - 8*a*b**7*c**3*d**5 + 2*b**8*c**4*d**4) + x**3*(4*a**5*b**3*d**8 - 12*a**4*b**4*c*d**7 + 8*a**3*b**5*c**2*d**6 + 8*a**2*b**6*c**3*d**5 - 12*a*b**7*c**4*d**4 + 4*b**8*c**5*d**3) + x**2*(2*a**6*b**2*d**8 - 18*a**4*b**4*c**2*d**6 + 32*a**3*b**5*c**3*d**5 - 18*a**2*b**6*c**4*d**4 + 2*b**8*c**6*d**2) + x*(4*a**6*b**2*c*d**7 - 12*a**5*b**3*c**2*d**6 + 8*a**4*b**4*c**3*d**5 + 8*a**3*b**5*c**4*d**4 - 12*a**2*b**6*c**5*d**3 + 4*a*b**7*c**6*d**2))","B",0
313,1,1117,0,3.476358," ","integrate(x**3/(b*x+a)**3/(d*x+c)**3,x)","- \frac{3 a c \left(a d + b c\right) \log{\left(x + \frac{- \frac{3 a^{7} c d^{6} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{18 a^{6} b c^{2} d^{5} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{45 a^{5} b^{2} c^{3} d^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{60 a^{4} b^{3} c^{4} d^{3} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{45 a^{3} b^{4} c^{5} d^{2} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 a^{3} c d^{2} + \frac{18 a^{2} b^{5} c^{6} d \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 6 a^{2} b c^{2} d - \frac{3 a b^{6} c^{7} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 a b^{2} c^{3}}{6 a^{2} b c d^{2} + 6 a b^{2} c^{2} d} \right)}}{\left(a d - b c\right)^{5}} + \frac{3 a c \left(a d + b c\right) \log{\left(x + \frac{\frac{3 a^{7} c d^{6} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{18 a^{6} b c^{2} d^{5} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{45 a^{5} b^{2} c^{3} d^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{60 a^{4} b^{3} c^{4} d^{3} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{45 a^{3} b^{4} c^{5} d^{2} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 a^{3} c d^{2} - \frac{18 a^{2} b^{5} c^{6} d \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 6 a^{2} b c^{2} d + \frac{3 a b^{6} c^{7} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 a b^{2} c^{3}}{6 a^{2} b c d^{2} + 6 a b^{2} c^{2} d} \right)}}{\left(a d - b c\right)^{5}} + \frac{- a^{4} c^{2} d^{2} - 10 a^{3} b c^{3} d - a^{2} b^{2} c^{4} + x^{3} \left(- 6 a^{2} b^{2} c d^{3} - 6 a b^{3} c^{2} d^{2}\right) + x^{2} \left(- a^{4} d^{4} - 5 a^{3} b c d^{3} - 24 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d - b^{4} c^{4}\right) + x \left(- 2 a^{4} c d^{3} - 16 a^{3} b c^{2} d^{2} - 16 a^{2} b^{2} c^{3} d - 2 a b^{3} c^{4}\right)}{2 a^{6} b c^{2} d^{5} - 8 a^{5} b^{2} c^{3} d^{4} + 12 a^{4} b^{3} c^{4} d^{3} - 8 a^{3} b^{4} c^{5} d^{2} + 2 a^{2} b^{5} c^{6} d + x^{4} \left(2 a^{4} b^{3} d^{7} - 8 a^{3} b^{4} c d^{6} + 12 a^{2} b^{5} c^{2} d^{5} - 8 a b^{6} c^{3} d^{4} + 2 b^{7} c^{4} d^{3}\right) + x^{3} \left(4 a^{5} b^{2} d^{7} - 12 a^{4} b^{3} c d^{6} + 8 a^{3} b^{4} c^{2} d^{5} + 8 a^{2} b^{5} c^{3} d^{4} - 12 a b^{6} c^{4} d^{3} + 4 b^{7} c^{5} d^{2}\right) + x^{2} \left(2 a^{6} b d^{7} - 18 a^{4} b^{3} c^{2} d^{5} + 32 a^{3} b^{4} c^{3} d^{4} - 18 a^{2} b^{5} c^{4} d^{3} + 2 b^{7} c^{6} d\right) + x \left(4 a^{6} b c d^{6} - 12 a^{5} b^{2} c^{2} d^{5} + 8 a^{4} b^{3} c^{3} d^{4} + 8 a^{3} b^{4} c^{4} d^{3} - 12 a^{2} b^{5} c^{5} d^{2} + 4 a b^{6} c^{6} d\right)}"," ",0,"-3*a*c*(a*d + b*c)*log(x + (-3*a**7*c*d**6*(a*d + b*c)/(a*d - b*c)**5 + 18*a**6*b*c**2*d**5*(a*d + b*c)/(a*d - b*c)**5 - 45*a**5*b**2*c**3*d**4*(a*d + b*c)/(a*d - b*c)**5 + 60*a**4*b**3*c**4*d**3*(a*d + b*c)/(a*d - b*c)**5 - 45*a**3*b**4*c**5*d**2*(a*d + b*c)/(a*d - b*c)**5 + 3*a**3*c*d**2 + 18*a**2*b**5*c**6*d*(a*d + b*c)/(a*d - b*c)**5 + 6*a**2*b*c**2*d - 3*a*b**6*c**7*(a*d + b*c)/(a*d - b*c)**5 + 3*a*b**2*c**3)/(6*a**2*b*c*d**2 + 6*a*b**2*c**2*d))/(a*d - b*c)**5 + 3*a*c*(a*d + b*c)*log(x + (3*a**7*c*d**6*(a*d + b*c)/(a*d - b*c)**5 - 18*a**6*b*c**2*d**5*(a*d + b*c)/(a*d - b*c)**5 + 45*a**5*b**2*c**3*d**4*(a*d + b*c)/(a*d - b*c)**5 - 60*a**4*b**3*c**4*d**3*(a*d + b*c)/(a*d - b*c)**5 + 45*a**3*b**4*c**5*d**2*(a*d + b*c)/(a*d - b*c)**5 + 3*a**3*c*d**2 - 18*a**2*b**5*c**6*d*(a*d + b*c)/(a*d - b*c)**5 + 6*a**2*b*c**2*d + 3*a*b**6*c**7*(a*d + b*c)/(a*d - b*c)**5 + 3*a*b**2*c**3)/(6*a**2*b*c*d**2 + 6*a*b**2*c**2*d))/(a*d - b*c)**5 + (-a**4*c**2*d**2 - 10*a**3*b*c**3*d - a**2*b**2*c**4 + x**3*(-6*a**2*b**2*c*d**3 - 6*a*b**3*c**2*d**2) + x**2*(-a**4*d**4 - 5*a**3*b*c*d**3 - 24*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d - b**4*c**4) + x*(-2*a**4*c*d**3 - 16*a**3*b*c**2*d**2 - 16*a**2*b**2*c**3*d - 2*a*b**3*c**4))/(2*a**6*b*c**2*d**5 - 8*a**5*b**2*c**3*d**4 + 12*a**4*b**3*c**4*d**3 - 8*a**3*b**4*c**5*d**2 + 2*a**2*b**5*c**6*d + x**4*(2*a**4*b**3*d**7 - 8*a**3*b**4*c*d**6 + 12*a**2*b**5*c**2*d**5 - 8*a*b**6*c**3*d**4 + 2*b**7*c**4*d**3) + x**3*(4*a**5*b**2*d**7 - 12*a**4*b**3*c*d**6 + 8*a**3*b**4*c**2*d**5 + 8*a**2*b**5*c**3*d**4 - 12*a*b**6*c**4*d**3 + 4*b**7*c**5*d**2) + x**2*(2*a**6*b*d**7 - 18*a**4*b**3*c**2*d**5 + 32*a**3*b**4*c**3*d**4 - 18*a**2*b**5*c**4*d**3 + 2*b**7*c**6*d) + x*(4*a**6*b*c*d**6 - 12*a**5*b**2*c**2*d**5 + 8*a**4*b**3*c**3*d**4 + 8*a**3*b**4*c**4*d**3 - 12*a**2*b**5*c**5*d**2 + 4*a*b**6*c**6*d))","B",0
314,1,1299,0,3.847142," ","integrate(x**2/(b*x+a)**3/(d*x+c)**3,x)","\frac{6 a^{3} c^{2} d + 6 a^{2} b c^{3} + x^{3} \left(2 a^{2} b d^{3} + 8 a b^{2} c d^{2} + 2 b^{3} c^{2} d\right) + x^{2} \left(3 a^{3} d^{3} + 15 a^{2} b c d^{2} + 15 a b^{2} c^{2} d + 3 b^{3} c^{3}\right) + x \left(10 a^{3} c d^{2} + 16 a^{2} b c^{2} d + 10 a b^{2} c^{3}\right)}{2 a^{6} c^{2} d^{4} - 8 a^{5} b c^{3} d^{3} + 12 a^{4} b^{2} c^{4} d^{2} - 8 a^{3} b^{3} c^{5} d + 2 a^{2} b^{4} c^{6} + x^{4} \left(2 a^{4} b^{2} d^{6} - 8 a^{3} b^{3} c d^{5} + 12 a^{2} b^{4} c^{2} d^{4} - 8 a b^{5} c^{3} d^{3} + 2 b^{6} c^{4} d^{2}\right) + x^{3} \left(4 a^{5} b d^{6} - 12 a^{4} b^{2} c d^{5} + 8 a^{3} b^{3} c^{2} d^{4} + 8 a^{2} b^{4} c^{3} d^{3} - 12 a b^{5} c^{4} d^{2} + 4 b^{6} c^{5} d\right) + x^{2} \left(2 a^{6} d^{6} - 18 a^{4} b^{2} c^{2} d^{4} + 32 a^{3} b^{3} c^{3} d^{3} - 18 a^{2} b^{4} c^{4} d^{2} + 2 b^{6} c^{6}\right) + x \left(4 a^{6} c d^{5} - 12 a^{5} b c^{2} d^{4} + 8 a^{4} b^{2} c^{3} d^{3} + 8 a^{3} b^{3} c^{4} d^{2} - 12 a^{2} b^{4} c^{5} d + 4 a b^{5} c^{6}\right)} + \frac{\left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{- \frac{a^{6} d^{6} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{6 a^{5} b c d^{5} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{15 a^{4} b^{2} c^{2} d^{4} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{20 a^{3} b^{3} c^{3} d^{3} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + a^{3} d^{3} - \frac{15 a^{2} b^{4} c^{4} d^{2} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + 5 a^{2} b c d^{2} + \frac{6 a b^{5} c^{5} d \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + 5 a b^{2} c^{2} d - \frac{b^{6} c^{6} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + b^{3} c^{3}}{2 a^{2} b d^{3} + 8 a b^{2} c d^{2} + 2 b^{3} c^{2} d} \right)}}{\left(a d - b c\right)^{5}} - \frac{\left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{\frac{a^{6} d^{6} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{6 a^{5} b c d^{5} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{15 a^{4} b^{2} c^{2} d^{4} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{20 a^{3} b^{3} c^{3} d^{3} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + a^{3} d^{3} + \frac{15 a^{2} b^{4} c^{4} d^{2} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + 5 a^{2} b c d^{2} - \frac{6 a b^{5} c^{5} d \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + 5 a b^{2} c^{2} d + \frac{b^{6} c^{6} \left(a^{2} d^{2} + 4 a b c d + b^{2} c^{2}\right)}{\left(a d - b c\right)^{5}} + b^{3} c^{3}}{2 a^{2} b d^{3} + 8 a b^{2} c d^{2} + 2 b^{3} c^{2} d} \right)}}{\left(a d - b c\right)^{5}}"," ",0,"(6*a**3*c**2*d + 6*a**2*b*c**3 + x**3*(2*a**2*b*d**3 + 8*a*b**2*c*d**2 + 2*b**3*c**2*d) + x**2*(3*a**3*d**3 + 15*a**2*b*c*d**2 + 15*a*b**2*c**2*d + 3*b**3*c**3) + x*(10*a**3*c*d**2 + 16*a**2*b*c**2*d + 10*a*b**2*c**3))/(2*a**6*c**2*d**4 - 8*a**5*b*c**3*d**3 + 12*a**4*b**2*c**4*d**2 - 8*a**3*b**3*c**5*d + 2*a**2*b**4*c**6 + x**4*(2*a**4*b**2*d**6 - 8*a**3*b**3*c*d**5 + 12*a**2*b**4*c**2*d**4 - 8*a*b**5*c**3*d**3 + 2*b**6*c**4*d**2) + x**3*(4*a**5*b*d**6 - 12*a**4*b**2*c*d**5 + 8*a**3*b**3*c**2*d**4 + 8*a**2*b**4*c**3*d**3 - 12*a*b**5*c**4*d**2 + 4*b**6*c**5*d) + x**2*(2*a**6*d**6 - 18*a**4*b**2*c**2*d**4 + 32*a**3*b**3*c**3*d**3 - 18*a**2*b**4*c**4*d**2 + 2*b**6*c**6) + x*(4*a**6*c*d**5 - 12*a**5*b*c**2*d**4 + 8*a**4*b**2*c**3*d**3 + 8*a**3*b**3*c**4*d**2 - 12*a**2*b**4*c**5*d + 4*a*b**5*c**6)) + (a**2*d**2 + 4*a*b*c*d + b**2*c**2)*log(x + (-a**6*d**6*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + 6*a**5*b*c*d**5*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 - 15*a**4*b**2*c**2*d**4*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + 20*a**3*b**3*c**3*d**3*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + a**3*d**3 - 15*a**2*b**4*c**4*d**2*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + 5*a**2*b*c*d**2 + 6*a*b**5*c**5*d*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + 5*a*b**2*c**2*d - b**6*c**6*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + b**3*c**3)/(2*a**2*b*d**3 + 8*a*b**2*c*d**2 + 2*b**3*c**2*d))/(a*d - b*c)**5 - (a**2*d**2 + 4*a*b*c*d + b**2*c**2)*log(x + (a**6*d**6*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 - 6*a**5*b*c*d**5*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + 15*a**4*b**2*c**2*d**4*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 - 20*a**3*b**3*c**3*d**3*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + a**3*d**3 + 15*a**2*b**4*c**4*d**2*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + 5*a**2*b*c*d**2 - 6*a*b**5*c**5*d*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + 5*a*b**2*c**2*d + b**6*c**6*(a**2*d**2 + 4*a*b*c*d + b**2*c**2)/(a*d - b*c)**5 + b**3*c**3)/(2*a**2*b*d**3 + 8*a*b**2*c*d**2 + 2*b**3*c**2*d))/(a*d - b*c)**5","B",0
315,1,1052,0,3.035684," ","integrate(x/(b*x+a)**3/(d*x+c)**3,x)","- \frac{3 b d \left(a d + b c\right) \log{\left(x + \frac{- \frac{3 a^{6} b d^{7} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{18 a^{5} b^{2} c d^{6} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{45 a^{4} b^{3} c^{2} d^{5} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{60 a^{3} b^{4} c^{3} d^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{45 a^{2} b^{5} c^{4} d^{3} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 a^{2} b d^{3} + \frac{18 a b^{6} c^{5} d^{2} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 6 a b^{2} c d^{2} - \frac{3 b^{7} c^{6} d \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 b^{3} c^{2} d}{6 a b^{2} d^{3} + 6 b^{3} c d^{2}} \right)}}{\left(a d - b c\right)^{5}} + \frac{3 b d \left(a d + b c\right) \log{\left(x + \frac{\frac{3 a^{6} b d^{7} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{18 a^{5} b^{2} c d^{6} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{45 a^{4} b^{3} c^{2} d^{5} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} - \frac{60 a^{3} b^{4} c^{3} d^{4} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + \frac{45 a^{2} b^{5} c^{4} d^{3} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 a^{2} b d^{3} - \frac{18 a b^{6} c^{5} d^{2} \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 6 a b^{2} c d^{2} + \frac{3 b^{7} c^{6} d \left(a d + b c\right)}{\left(a d - b c\right)^{5}} + 3 b^{3} c^{2} d}{6 a b^{2} d^{3} + 6 b^{3} c d^{2}} \right)}}{\left(a d - b c\right)^{5}} + \frac{- a^{3} c d^{2} - 10 a^{2} b c^{2} d - a b^{2} c^{3} + x^{3} \left(- 6 a b^{2} d^{3} - 6 b^{3} c d^{2}\right) + x^{2} \left(- 9 a^{2} b d^{3} - 18 a b^{2} c d^{2} - 9 b^{3} c^{2} d\right) + x \left(- 2 a^{3} d^{3} - 16 a^{2} b c d^{2} - 16 a b^{2} c^{2} d - 2 b^{3} c^{3}\right)}{2 a^{6} c^{2} d^{4} - 8 a^{5} b c^{3} d^{3} + 12 a^{4} b^{2} c^{4} d^{2} - 8 a^{3} b^{3} c^{5} d + 2 a^{2} b^{4} c^{6} + x^{4} \left(2 a^{4} b^{2} d^{6} - 8 a^{3} b^{3} c d^{5} + 12 a^{2} b^{4} c^{2} d^{4} - 8 a b^{5} c^{3} d^{3} + 2 b^{6} c^{4} d^{2}\right) + x^{3} \left(4 a^{5} b d^{6} - 12 a^{4} b^{2} c d^{5} + 8 a^{3} b^{3} c^{2} d^{4} + 8 a^{2} b^{4} c^{3} d^{3} - 12 a b^{5} c^{4} d^{2} + 4 b^{6} c^{5} d\right) + x^{2} \left(2 a^{6} d^{6} - 18 a^{4} b^{2} c^{2} d^{4} + 32 a^{3} b^{3} c^{3} d^{3} - 18 a^{2} b^{4} c^{4} d^{2} + 2 b^{6} c^{6}\right) + x \left(4 a^{6} c d^{5} - 12 a^{5} b c^{2} d^{4} + 8 a^{4} b^{2} c^{3} d^{3} + 8 a^{3} b^{3} c^{4} d^{2} - 12 a^{2} b^{4} c^{5} d + 4 a b^{5} c^{6}\right)}"," ",0,"-3*b*d*(a*d + b*c)*log(x + (-3*a**6*b*d**7*(a*d + b*c)/(a*d - b*c)**5 + 18*a**5*b**2*c*d**6*(a*d + b*c)/(a*d - b*c)**5 - 45*a**4*b**3*c**2*d**5*(a*d + b*c)/(a*d - b*c)**5 + 60*a**3*b**4*c**3*d**4*(a*d + b*c)/(a*d - b*c)**5 - 45*a**2*b**5*c**4*d**3*(a*d + b*c)/(a*d - b*c)**5 + 3*a**2*b*d**3 + 18*a*b**6*c**5*d**2*(a*d + b*c)/(a*d - b*c)**5 + 6*a*b**2*c*d**2 - 3*b**7*c**6*d*(a*d + b*c)/(a*d - b*c)**5 + 3*b**3*c**2*d)/(6*a*b**2*d**3 + 6*b**3*c*d**2))/(a*d - b*c)**5 + 3*b*d*(a*d + b*c)*log(x + (3*a**6*b*d**7*(a*d + b*c)/(a*d - b*c)**5 - 18*a**5*b**2*c*d**6*(a*d + b*c)/(a*d - b*c)**5 + 45*a**4*b**3*c**2*d**5*(a*d + b*c)/(a*d - b*c)**5 - 60*a**3*b**4*c**3*d**4*(a*d + b*c)/(a*d - b*c)**5 + 45*a**2*b**5*c**4*d**3*(a*d + b*c)/(a*d - b*c)**5 + 3*a**2*b*d**3 - 18*a*b**6*c**5*d**2*(a*d + b*c)/(a*d - b*c)**5 + 6*a*b**2*c*d**2 + 3*b**7*c**6*d*(a*d + b*c)/(a*d - b*c)**5 + 3*b**3*c**2*d)/(6*a*b**2*d**3 + 6*b**3*c*d**2))/(a*d - b*c)**5 + (-a**3*c*d**2 - 10*a**2*b*c**2*d - a*b**2*c**3 + x**3*(-6*a*b**2*d**3 - 6*b**3*c*d**2) + x**2*(-9*a**2*b*d**3 - 18*a*b**2*c*d**2 - 9*b**3*c**2*d) + x*(-2*a**3*d**3 - 16*a**2*b*c*d**2 - 16*a*b**2*c**2*d - 2*b**3*c**3))/(2*a**6*c**2*d**4 - 8*a**5*b*c**3*d**3 + 12*a**4*b**2*c**4*d**2 - 8*a**3*b**3*c**5*d + 2*a**2*b**4*c**6 + x**4*(2*a**4*b**2*d**6 - 8*a**3*b**3*c*d**5 + 12*a**2*b**4*c**2*d**4 - 8*a*b**5*c**3*d**3 + 2*b**6*c**4*d**2) + x**3*(4*a**5*b*d**6 - 12*a**4*b**2*c*d**5 + 8*a**3*b**3*c**2*d**4 + 8*a**2*b**4*c**3*d**3 - 12*a*b**5*c**4*d**2 + 4*b**6*c**5*d) + x**2*(2*a**6*d**6 - 18*a**4*b**2*c**2*d**4 + 32*a**3*b**3*c**3*d**3 - 18*a**2*b**4*c**4*d**2 + 2*b**6*c**6) + x*(4*a**6*c*d**5 - 12*a**5*b*c**2*d**4 + 8*a**4*b**2*c**3*d**3 + 8*a**3*b**3*c**4*d**2 - 12*a**2*b**4*c**5*d + 4*a*b**5*c**6))","B",0
316,1,881,0,2.753563," ","integrate(1/(b*x+a)**3/(d*x+c)**3,x)","\frac{6 b^{2} d^{2} \log{\left(x + \frac{- \frac{6 a^{6} b^{2} d^{8}}{\left(a d - b c\right)^{5}} + \frac{36 a^{5} b^{3} c d^{7}}{\left(a d - b c\right)^{5}} - \frac{90 a^{4} b^{4} c^{2} d^{6}}{\left(a d - b c\right)^{5}} + \frac{120 a^{3} b^{5} c^{3} d^{5}}{\left(a d - b c\right)^{5}} - \frac{90 a^{2} b^{6} c^{4} d^{4}}{\left(a d - b c\right)^{5}} + \frac{36 a b^{7} c^{5} d^{3}}{\left(a d - b c\right)^{5}} + 6 a b^{2} d^{3} - \frac{6 b^{8} c^{6} d^{2}}{\left(a d - b c\right)^{5}} + 6 b^{3} c d^{2}}{12 b^{3} d^{3}} \right)}}{\left(a d - b c\right)^{5}} - \frac{6 b^{2} d^{2} \log{\left(x + \frac{\frac{6 a^{6} b^{2} d^{8}}{\left(a d - b c\right)^{5}} - \frac{36 a^{5} b^{3} c d^{7}}{\left(a d - b c\right)^{5}} + \frac{90 a^{4} b^{4} c^{2} d^{6}}{\left(a d - b c\right)^{5}} - \frac{120 a^{3} b^{5} c^{3} d^{5}}{\left(a d - b c\right)^{5}} + \frac{90 a^{2} b^{6} c^{4} d^{4}}{\left(a d - b c\right)^{5}} - \frac{36 a b^{7} c^{5} d^{3}}{\left(a d - b c\right)^{5}} + 6 a b^{2} d^{3} + \frac{6 b^{8} c^{6} d^{2}}{\left(a d - b c\right)^{5}} + 6 b^{3} c d^{2}}{12 b^{3} d^{3}} \right)}}{\left(a d - b c\right)^{5}} + \frac{- a^{3} d^{3} + 7 a^{2} b c d^{2} + 7 a b^{2} c^{2} d - b^{3} c^{3} + 12 b^{3} d^{3} x^{3} + x^{2} \left(18 a b^{2} d^{3} + 18 b^{3} c d^{2}\right) + x \left(4 a^{2} b d^{3} + 28 a b^{2} c d^{2} + 4 b^{3} c^{2} d\right)}{2 a^{6} c^{2} d^{4} - 8 a^{5} b c^{3} d^{3} + 12 a^{4} b^{2} c^{4} d^{2} - 8 a^{3} b^{3} c^{5} d + 2 a^{2} b^{4} c^{6} + x^{4} \left(2 a^{4} b^{2} d^{6} - 8 a^{3} b^{3} c d^{5} + 12 a^{2} b^{4} c^{2} d^{4} - 8 a b^{5} c^{3} d^{3} + 2 b^{6} c^{4} d^{2}\right) + x^{3} \left(4 a^{5} b d^{6} - 12 a^{4} b^{2} c d^{5} + 8 a^{3} b^{3} c^{2} d^{4} + 8 a^{2} b^{4} c^{3} d^{3} - 12 a b^{5} c^{4} d^{2} + 4 b^{6} c^{5} d\right) + x^{2} \left(2 a^{6} d^{6} - 18 a^{4} b^{2} c^{2} d^{4} + 32 a^{3} b^{3} c^{3} d^{3} - 18 a^{2} b^{4} c^{4} d^{2} + 2 b^{6} c^{6}\right) + x \left(4 a^{6} c d^{5} - 12 a^{5} b c^{2} d^{4} + 8 a^{4} b^{2} c^{3} d^{3} + 8 a^{3} b^{3} c^{4} d^{2} - 12 a^{2} b^{4} c^{5} d + 4 a b^{5} c^{6}\right)}"," ",0,"6*b**2*d**2*log(x + (-6*a**6*b**2*d**8/(a*d - b*c)**5 + 36*a**5*b**3*c*d**7/(a*d - b*c)**5 - 90*a**4*b**4*c**2*d**6/(a*d - b*c)**5 + 120*a**3*b**5*c**3*d**5/(a*d - b*c)**5 - 90*a**2*b**6*c**4*d**4/(a*d - b*c)**5 + 36*a*b**7*c**5*d**3/(a*d - b*c)**5 + 6*a*b**2*d**3 - 6*b**8*c**6*d**2/(a*d - b*c)**5 + 6*b**3*c*d**2)/(12*b**3*d**3))/(a*d - b*c)**5 - 6*b**2*d**2*log(x + (6*a**6*b**2*d**8/(a*d - b*c)**5 - 36*a**5*b**3*c*d**7/(a*d - b*c)**5 + 90*a**4*b**4*c**2*d**6/(a*d - b*c)**5 - 120*a**3*b**5*c**3*d**5/(a*d - b*c)**5 + 90*a**2*b**6*c**4*d**4/(a*d - b*c)**5 - 36*a*b**7*c**5*d**3/(a*d - b*c)**5 + 6*a*b**2*d**3 + 6*b**8*c**6*d**2/(a*d - b*c)**5 + 6*b**3*c*d**2)/(12*b**3*d**3))/(a*d - b*c)**5 + (-a**3*d**3 + 7*a**2*b*c*d**2 + 7*a*b**2*c**2*d - b**3*c**3 + 12*b**3*d**3*x**3 + x**2*(18*a*b**2*d**3 + 18*b**3*c*d**2) + x*(4*a**2*b*d**3 + 28*a*b**2*c*d**2 + 4*b**3*c**2*d))/(2*a**6*c**2*d**4 - 8*a**5*b*c**3*d**3 + 12*a**4*b**2*c**4*d**2 - 8*a**3*b**3*c**5*d + 2*a**2*b**4*c**6 + x**4*(2*a**4*b**2*d**6 - 8*a**3*b**3*c*d**5 + 12*a**2*b**4*c**2*d**4 - 8*a*b**5*c**3*d**3 + 2*b**6*c**4*d**2) + x**3*(4*a**5*b*d**6 - 12*a**4*b**2*c*d**5 + 8*a**3*b**3*c**2*d**4 + 8*a**2*b**4*c**3*d**3 - 12*a*b**5*c**4*d**2 + 4*b**6*c**5*d) + x**2*(2*a**6*d**6 - 18*a**4*b**2*c**2*d**4 + 32*a**3*b**3*c**3*d**3 - 18*a**2*b**4*c**4*d**2 + 2*b**6*c**6) + x*(4*a**6*c*d**5 - 12*a**5*b*c**2*d**4 + 8*a**4*b**2*c**3*d**3 + 8*a**3*b**3*c**4*d**2 - 12*a**2*b**4*c**5*d + 4*a*b**5*c**6))","B",0
317,-1,0,0,0.000000," ","integrate(1/x/(b*x+a)**3/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
318,-1,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**3/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
319,1,46,0,6.523891," ","integrate(x**(7/2)*(b*x+a)*(B*x+A),x)","\frac{2 A a x^{\frac{9}{2}}}{9} + \frac{2 A b x^{\frac{11}{2}}}{11} + \frac{2 B a x^{\frac{11}{2}}}{11} + \frac{2 B b x^{\frac{13}{2}}}{13}"," ",0,"2*A*a*x**(9/2)/9 + 2*A*b*x**(11/2)/11 + 2*B*a*x**(11/2)/11 + 2*B*b*x**(13/2)/13","A",0
320,1,46,0,2.702351," ","integrate(x**(5/2)*(b*x+a)*(B*x+A),x)","\frac{2 A a x^{\frac{7}{2}}}{7} + \frac{2 A b x^{\frac{9}{2}}}{9} + \frac{2 B a x^{\frac{9}{2}}}{9} + \frac{2 B b x^{\frac{11}{2}}}{11}"," ",0,"2*A*a*x**(7/2)/7 + 2*A*b*x**(9/2)/9 + 2*B*a*x**(9/2)/9 + 2*B*b*x**(11/2)/11","A",0
321,1,46,0,1.011215," ","integrate(x**(3/2)*(b*x+a)*(B*x+A),x)","\frac{2 A a x^{\frac{5}{2}}}{5} + \frac{2 A b x^{\frac{7}{2}}}{7} + \frac{2 B a x^{\frac{7}{2}}}{7} + \frac{2 B b x^{\frac{9}{2}}}{9}"," ",0,"2*A*a*x**(5/2)/5 + 2*A*b*x**(7/2)/7 + 2*B*a*x**(7/2)/7 + 2*B*b*x**(9/2)/9","A",0
322,1,37,0,2.883190," ","integrate((b*x+a)*(B*x+A)*x**(1/2),x)","\frac{2 A a x^{\frac{3}{2}}}{3} + \frac{2 B b x^{\frac{7}{2}}}{7} + \frac{2 x^{\frac{5}{2}} \left(A b + B a\right)}{5}"," ",0,"2*A*a*x**(3/2)/3 + 2*B*b*x**(7/2)/7 + 2*x**(5/2)*(A*b + B*a)/5","A",0
323,1,44,0,0.476735," ","integrate((b*x+a)*(B*x+A)/x**(1/2),x)","2 A a \sqrt{x} + \frac{2 A b x^{\frac{3}{2}}}{3} + \frac{2 B a x^{\frac{3}{2}}}{3} + \frac{2 B b x^{\frac{5}{2}}}{5}"," ",0,"2*A*a*sqrt(x) + 2*A*b*x**(3/2)/3 + 2*B*a*x**(3/2)/3 + 2*B*b*x**(5/2)/5","A",0
324,1,41,0,0.428319," ","integrate((b*x+a)*(B*x+A)/x**(3/2),x)","- \frac{2 A a}{\sqrt{x}} + 2 A b \sqrt{x} + 2 B a \sqrt{x} + \frac{2 B b x^{\frac{3}{2}}}{3}"," ",0,"-2*A*a/sqrt(x) + 2*A*b*sqrt(x) + 2*B*a*sqrt(x) + 2*B*b*x**(3/2)/3","A",0
325,1,41,0,0.644563," ","integrate((b*x+a)*(B*x+A)/x**(5/2),x)","- \frac{2 A a}{3 x^{\frac{3}{2}}} - \frac{2 A b}{\sqrt{x}} - \frac{2 B a}{\sqrt{x}} + 2 B b \sqrt{x}"," ",0,"-2*A*a/(3*x**(3/2)) - 2*A*b/sqrt(x) - 2*B*a/sqrt(x) + 2*B*b*sqrt(x)","A",0
326,1,46,0,1.707989," ","integrate((b*x+a)*(B*x+A)/x**(7/2),x)","- \frac{2 A a}{5 x^{\frac{5}{2}}} - \frac{2 A b}{3 x^{\frac{3}{2}}} - \frac{2 B a}{3 x^{\frac{3}{2}}} - \frac{2 B b}{\sqrt{x}}"," ",0,"-2*A*a/(5*x**(5/2)) - 2*A*b/(3*x**(3/2)) - 2*B*a/(3*x**(3/2)) - 2*B*b/sqrt(x)","A",0
327,1,80,0,8.517642," ","integrate(x**(7/2)*(b*x+a)**2*(B*x+A),x)","\frac{2 A a^{2} x^{\frac{9}{2}}}{9} + \frac{4 A a b x^{\frac{11}{2}}}{11} + \frac{2 A b^{2} x^{\frac{13}{2}}}{13} + \frac{2 B a^{2} x^{\frac{11}{2}}}{11} + \frac{4 B a b x^{\frac{13}{2}}}{13} + \frac{2 B b^{2} x^{\frac{15}{2}}}{15}"," ",0,"2*A*a**2*x**(9/2)/9 + 4*A*a*b*x**(11/2)/11 + 2*A*b**2*x**(13/2)/13 + 2*B*a**2*x**(11/2)/11 + 4*B*a*b*x**(13/2)/13 + 2*B*b**2*x**(15/2)/15","A",0
328,1,80,0,4.363243," ","integrate(x**(5/2)*(b*x+a)**2*(B*x+A),x)","\frac{2 A a^{2} x^{\frac{7}{2}}}{7} + \frac{4 A a b x^{\frac{9}{2}}}{9} + \frac{2 A b^{2} x^{\frac{11}{2}}}{11} + \frac{2 B a^{2} x^{\frac{9}{2}}}{9} + \frac{4 B a b x^{\frac{11}{2}}}{11} + \frac{2 B b^{2} x^{\frac{13}{2}}}{13}"," ",0,"2*A*a**2*x**(7/2)/7 + 4*A*a*b*x**(9/2)/9 + 2*A*b**2*x**(11/2)/11 + 2*B*a**2*x**(9/2)/9 + 4*B*a*b*x**(11/2)/11 + 2*B*b**2*x**(13/2)/13","A",0
329,1,80,0,1.820593," ","integrate(x**(3/2)*(b*x+a)**2*(B*x+A),x)","\frac{2 A a^{2} x^{\frac{5}{2}}}{5} + \frac{4 A a b x^{\frac{7}{2}}}{7} + \frac{2 A b^{2} x^{\frac{9}{2}}}{9} + \frac{2 B a^{2} x^{\frac{7}{2}}}{7} + \frac{4 B a b x^{\frac{9}{2}}}{9} + \frac{2 B b^{2} x^{\frac{11}{2}}}{11}"," ",0,"2*A*a**2*x**(5/2)/5 + 4*A*a*b*x**(7/2)/7 + 2*A*b**2*x**(9/2)/9 + 2*B*a**2*x**(7/2)/7 + 4*B*a*b*x**(9/2)/9 + 2*B*b**2*x**(11/2)/11","A",0
330,1,66,0,3.222450," ","integrate((b*x+a)**2*(B*x+A)*x**(1/2),x)","\frac{2 A a^{2} x^{\frac{3}{2}}}{3} + \frac{2 B b^{2} x^{\frac{9}{2}}}{9} + \frac{2 x^{\frac{7}{2}} \left(A b^{2} + 2 B a b\right)}{7} + \frac{2 x^{\frac{5}{2}} \left(2 A a b + B a^{2}\right)}{5}"," ",0,"2*A*a**2*x**(3/2)/3 + 2*B*b**2*x**(9/2)/9 + 2*x**(7/2)*(A*b**2 + 2*B*a*b)/7 + 2*x**(5/2)*(2*A*a*b + B*a**2)/5","A",0
331,1,78,0,0.549690," ","integrate((b*x+a)**2*(B*x+A)/x**(1/2),x)","2 A a^{2} \sqrt{x} + \frac{4 A a b x^{\frac{3}{2}}}{3} + \frac{2 A b^{2} x^{\frac{5}{2}}}{5} + \frac{2 B a^{2} x^{\frac{3}{2}}}{3} + \frac{4 B a b x^{\frac{5}{2}}}{5} + \frac{2 B b^{2} x^{\frac{7}{2}}}{7}"," ",0,"2*A*a**2*sqrt(x) + 4*A*a*b*x**(3/2)/3 + 2*A*b**2*x**(5/2)/5 + 2*B*a**2*x**(3/2)/3 + 4*B*a*b*x**(5/2)/5 + 2*B*b**2*x**(7/2)/7","A",0
332,1,75,0,1.167149," ","integrate((b*x+a)**2*(B*x+A)/x**(3/2),x)","- \frac{2 A a^{2}}{\sqrt{x}} + 4 A a b \sqrt{x} + \frac{2 A b^{2} x^{\frac{3}{2}}}{3} + 2 B a^{2} \sqrt{x} + \frac{4 B a b x^{\frac{3}{2}}}{3} + \frac{2 B b^{2} x^{\frac{5}{2}}}{5}"," ",0,"-2*A*a**2/sqrt(x) + 4*A*a*b*sqrt(x) + 2*A*b**2*x**(3/2)/3 + 2*B*a**2*sqrt(x) + 4*B*a*b*x**(3/2)/3 + 2*B*b**2*x**(5/2)/5","A",0
333,1,73,0,0.875312," ","integrate((b*x+a)**2*(B*x+A)/x**(5/2),x)","- \frac{2 A a^{2}}{3 x^{\frac{3}{2}}} - \frac{4 A a b}{\sqrt{x}} + 2 A b^{2} \sqrt{x} - \frac{2 B a^{2}}{\sqrt{x}} + 4 B a b \sqrt{x} + \frac{2 B b^{2} x^{\frac{3}{2}}}{3}"," ",0,"-2*A*a**2/(3*x**(3/2)) - 4*A*a*b/sqrt(x) + 2*A*b**2*sqrt(x) - 2*B*a**2/sqrt(x) + 4*B*a*b*sqrt(x) + 2*B*b**2*x**(3/2)/3","A",0
334,1,75,0,1.725754," ","integrate((b*x+a)**2*(B*x+A)/x**(7/2),x)","- \frac{2 A a^{2}}{5 x^{\frac{5}{2}}} - \frac{4 A a b}{3 x^{\frac{3}{2}}} - \frac{2 A b^{2}}{\sqrt{x}} - \frac{2 B a^{2}}{3 x^{\frac{3}{2}}} - \frac{4 B a b}{\sqrt{x}} + 2 B b^{2} \sqrt{x}"," ",0,"-2*A*a**2/(5*x**(5/2)) - 4*A*a*b/(3*x**(3/2)) - 2*A*b**2/sqrt(x) - 2*B*a**2/(3*x**(3/2)) - 4*B*a*b/sqrt(x) + 2*B*b**2*sqrt(x)","A",0
335,1,114,0,12.277669," ","integrate(x**(7/2)*(b*x+a)**3*(B*x+A),x)","\frac{2 A a^{3} x^{\frac{9}{2}}}{9} + \frac{6 A a^{2} b x^{\frac{11}{2}}}{11} + \frac{6 A a b^{2} x^{\frac{13}{2}}}{13} + \frac{2 A b^{3} x^{\frac{15}{2}}}{15} + \frac{2 B a^{3} x^{\frac{11}{2}}}{11} + \frac{6 B a^{2} b x^{\frac{13}{2}}}{13} + \frac{2 B a b^{2} x^{\frac{15}{2}}}{5} + \frac{2 B b^{3} x^{\frac{17}{2}}}{17}"," ",0,"2*A*a**3*x**(9/2)/9 + 6*A*a**2*b*x**(11/2)/11 + 6*A*a*b**2*x**(13/2)/13 + 2*A*b**3*x**(15/2)/15 + 2*B*a**3*x**(11/2)/11 + 6*B*a**2*b*x**(13/2)/13 + 2*B*a*b**2*x**(15/2)/5 + 2*B*b**3*x**(17/2)/17","A",0
336,1,114,0,6.919699," ","integrate(x**(5/2)*(b*x+a)**3*(B*x+A),x)","\frac{2 A a^{3} x^{\frac{7}{2}}}{7} + \frac{2 A a^{2} b x^{\frac{9}{2}}}{3} + \frac{6 A a b^{2} x^{\frac{11}{2}}}{11} + \frac{2 A b^{3} x^{\frac{13}{2}}}{13} + \frac{2 B a^{3} x^{\frac{9}{2}}}{9} + \frac{6 B a^{2} b x^{\frac{11}{2}}}{11} + \frac{6 B a b^{2} x^{\frac{13}{2}}}{13} + \frac{2 B b^{3} x^{\frac{15}{2}}}{15}"," ",0,"2*A*a**3*x**(7/2)/7 + 2*A*a**2*b*x**(9/2)/3 + 6*A*a*b**2*x**(11/2)/11 + 2*A*b**3*x**(13/2)/13 + 2*B*a**3*x**(9/2)/9 + 6*B*a**2*b*x**(11/2)/11 + 6*B*a*b**2*x**(13/2)/13 + 2*B*b**3*x**(15/2)/15","A",0
337,1,114,0,3.037568," ","integrate(x**(3/2)*(b*x+a)**3*(B*x+A),x)","\frac{2 A a^{3} x^{\frac{5}{2}}}{5} + \frac{6 A a^{2} b x^{\frac{7}{2}}}{7} + \frac{2 A a b^{2} x^{\frac{9}{2}}}{3} + \frac{2 A b^{3} x^{\frac{11}{2}}}{11} + \frac{2 B a^{3} x^{\frac{7}{2}}}{7} + \frac{2 B a^{2} b x^{\frac{9}{2}}}{3} + \frac{6 B a b^{2} x^{\frac{11}{2}}}{11} + \frac{2 B b^{3} x^{\frac{13}{2}}}{13}"," ",0,"2*A*a**3*x**(5/2)/5 + 6*A*a**2*b*x**(7/2)/7 + 2*A*a*b**2*x**(9/2)/3 + 2*A*b**3*x**(11/2)/11 + 2*B*a**3*x**(7/2)/7 + 2*B*a**2*b*x**(9/2)/3 + 6*B*a*b**2*x**(11/2)/11 + 2*B*b**3*x**(13/2)/13","A",0
338,1,95,0,3.654312," ","integrate((b*x+a)**3*(B*x+A)*x**(1/2),x)","\frac{2 A a^{3} x^{\frac{3}{2}}}{3} + \frac{2 B b^{3} x^{\frac{11}{2}}}{11} + \frac{2 x^{\frac{9}{2}} \left(A b^{3} + 3 B a b^{2}\right)}{9} + \frac{2 x^{\frac{7}{2}} \left(3 A a b^{2} + 3 B a^{2} b\right)}{7} + \frac{2 x^{\frac{5}{2}} \left(3 A a^{2} b + B a^{3}\right)}{5}"," ",0,"2*A*a**3*x**(3/2)/3 + 2*B*b**3*x**(11/2)/11 + 2*x**(9/2)*(A*b**3 + 3*B*a*b**2)/9 + 2*x**(7/2)*(3*A*a*b**2 + 3*B*a**2*b)/7 + 2*x**(5/2)*(3*A*a**2*b + B*a**3)/5","A",0
339,1,110,0,0.987447," ","integrate((b*x+a)**3*(B*x+A)/x**(1/2),x)","2 A a^{3} \sqrt{x} + 2 A a^{2} b x^{\frac{3}{2}} + \frac{6 A a b^{2} x^{\frac{5}{2}}}{5} + \frac{2 A b^{3} x^{\frac{7}{2}}}{7} + \frac{2 B a^{3} x^{\frac{3}{2}}}{3} + \frac{6 B a^{2} b x^{\frac{5}{2}}}{5} + \frac{6 B a b^{2} x^{\frac{7}{2}}}{7} + \frac{2 B b^{3} x^{\frac{9}{2}}}{9}"," ",0,"2*A*a**3*sqrt(x) + 2*A*a**2*b*x**(3/2) + 6*A*a*b**2*x**(5/2)/5 + 2*A*b**3*x**(7/2)/7 + 2*B*a**3*x**(3/2)/3 + 6*B*a**2*b*x**(5/2)/5 + 6*B*a*b**2*x**(7/2)/7 + 2*B*b**3*x**(9/2)/9","A",0
340,1,105,0,1.487565," ","integrate((b*x+a)**3*(B*x+A)/x**(3/2),x)","- \frac{2 A a^{3}}{\sqrt{x}} + 6 A a^{2} b \sqrt{x} + 2 A a b^{2} x^{\frac{3}{2}} + \frac{2 A b^{3} x^{\frac{5}{2}}}{5} + 2 B a^{3} \sqrt{x} + 2 B a^{2} b x^{\frac{3}{2}} + \frac{6 B a b^{2} x^{\frac{5}{2}}}{5} + \frac{2 B b^{3} x^{\frac{7}{2}}}{7}"," ",0,"-2*A*a**3/sqrt(x) + 6*A*a**2*b*sqrt(x) + 2*A*a*b**2*x**(3/2) + 2*A*b**3*x**(5/2)/5 + 2*B*a**3*sqrt(x) + 2*B*a**2*b*x**(3/2) + 6*B*a*b**2*x**(5/2)/5 + 2*B*b**3*x**(7/2)/7","A",0
341,1,105,0,1.466007," ","integrate((b*x+a)**3*(B*x+A)/x**(5/2),x)","- \frac{2 A a^{3}}{3 x^{\frac{3}{2}}} - \frac{6 A a^{2} b}{\sqrt{x}} + 6 A a b^{2} \sqrt{x} + \frac{2 A b^{3} x^{\frac{3}{2}}}{3} - \frac{2 B a^{3}}{\sqrt{x}} + 6 B a^{2} b \sqrt{x} + 2 B a b^{2} x^{\frac{3}{2}} + \frac{2 B b^{3} x^{\frac{5}{2}}}{5}"," ",0,"-2*A*a**3/(3*x**(3/2)) - 6*A*a**2*b/sqrt(x) + 6*A*a*b**2*sqrt(x) + 2*A*b**3*x**(3/2)/3 - 2*B*a**3/sqrt(x) + 6*B*a**2*b*sqrt(x) + 2*B*a*b**2*x**(3/2) + 2*B*b**3*x**(5/2)/5","A",0
342,1,105,0,2.121794," ","integrate((b*x+a)**3*(B*x+A)/x**(7/2),x)","- \frac{2 A a^{3}}{5 x^{\frac{5}{2}}} - \frac{2 A a^{2} b}{x^{\frac{3}{2}}} - \frac{6 A a b^{2}}{\sqrt{x}} + 2 A b^{3} \sqrt{x} - \frac{2 B a^{3}}{3 x^{\frac{3}{2}}} - \frac{6 B a^{2} b}{\sqrt{x}} + 6 B a b^{2} \sqrt{x} + \frac{2 B b^{3} x^{\frac{3}{2}}}{3}"," ",0,"-2*A*a**3/(5*x**(5/2)) - 2*A*a**2*b/x**(3/2) - 6*A*a*b**2/sqrt(x) + 2*A*b**3*sqrt(x) - 2*B*a**3/(3*x**(3/2)) - 6*B*a**2*b/sqrt(x) + 6*B*a*b**2*sqrt(x) + 2*B*b**3*x**(3/2)/3","A",0
343,1,75,0,1.333761," ","integrate((2-3*x)**3*x**(1/2)/(1+x)**2,x)","- \frac{54 x^{\frac{7}{2}}}{5 x + 5} + \frac{306 x^{\frac{5}{2}}}{5 x + 5} - \frac{1890 x^{\frac{3}{2}}}{5 x + 5} - \frac{2875 \sqrt{x}}{5 x + 5} + \frac{2875 x \operatorname{atan}{\left(\sqrt{x} \right)}}{5 x + 5} + \frac{2875 \operatorname{atan}{\left(\sqrt{x} \right)}}{5 x + 5}"," ",0,"-54*x**(7/2)/(5*x + 5) + 306*x**(5/2)/(5*x + 5) - 1890*x**(3/2)/(5*x + 5) - 2875*sqrt(x)/(5*x + 5) + 2875*x*atan(sqrt(x))/(5*x + 5) + 2875*atan(sqrt(x))/(5*x + 5)","A",0
344,1,313,0,52.584599," ","integrate(x**(7/2)*(B*x+A)/(b*x+a),x)","\begin{cases} - \frac{i A a^{\frac{7}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{5} \sqrt{\frac{1}{b}}} + \frac{i A a^{\frac{7}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{5} \sqrt{\frac{1}{b}}} - \frac{2 A a^{3} \sqrt{x}}{b^{4}} + \frac{2 A a^{2} x^{\frac{3}{2}}}{3 b^{3}} - \frac{2 A a x^{\frac{5}{2}}}{5 b^{2}} + \frac{2 A x^{\frac{7}{2}}}{7 b} + \frac{i B a^{\frac{9}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{6} \sqrt{\frac{1}{b}}} - \frac{i B a^{\frac{9}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{6} \sqrt{\frac{1}{b}}} + \frac{2 B a^{4} \sqrt{x}}{b^{5}} - \frac{2 B a^{3} x^{\frac{3}{2}}}{3 b^{4}} + \frac{2 B a^{2} x^{\frac{5}{2}}}{5 b^{3}} - \frac{2 B a x^{\frac{7}{2}}}{7 b^{2}} + \frac{2 B x^{\frac{9}{2}}}{9 b} & \text{for}\: b \neq 0 \\\frac{\frac{2 A x^{\frac{9}{2}}}{9} + \frac{2 B x^{\frac{11}{2}}}{11}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*A*a**(7/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**5*sqrt(1/b)) + I*A*a**(7/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**5*sqrt(1/b)) - 2*A*a**3*sqrt(x)/b**4 + 2*A*a**2*x**(3/2)/(3*b**3) - 2*A*a*x**(5/2)/(5*b**2) + 2*A*x**(7/2)/(7*b) + I*B*a**(9/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**6*sqrt(1/b)) - I*B*a**(9/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**6*sqrt(1/b)) + 2*B*a**4*sqrt(x)/b**5 - 2*B*a**3*x**(3/2)/(3*b**4) + 2*B*a**2*x**(5/2)/(5*b**3) - 2*B*a*x**(7/2)/(7*b**2) + 2*B*x**(9/2)/(9*b), Ne(b, 0)), ((2*A*x**(9/2)/9 + 2*B*x**(11/2)/11)/a, True))","A",0
345,1,279,0,17.312520," ","integrate(x**(5/2)*(B*x+A)/(b*x+a),x)","\begin{cases} \frac{i A a^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{4} \sqrt{\frac{1}{b}}} - \frac{i A a^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{4} \sqrt{\frac{1}{b}}} + \frac{2 A a^{2} \sqrt{x}}{b^{3}} - \frac{2 A a x^{\frac{3}{2}}}{3 b^{2}} + \frac{2 A x^{\frac{5}{2}}}{5 b} - \frac{i B a^{\frac{7}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{5} \sqrt{\frac{1}{b}}} + \frac{i B a^{\frac{7}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{5} \sqrt{\frac{1}{b}}} - \frac{2 B a^{3} \sqrt{x}}{b^{4}} + \frac{2 B a^{2} x^{\frac{3}{2}}}{3 b^{3}} - \frac{2 B a x^{\frac{5}{2}}}{5 b^{2}} + \frac{2 B x^{\frac{7}{2}}}{7 b} & \text{for}\: b \neq 0 \\\frac{\frac{2 A x^{\frac{7}{2}}}{7} + \frac{2 B x^{\frac{9}{2}}}{9}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*A*a**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**4*sqrt(1/b)) - I*A*a**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**4*sqrt(1/b)) + 2*A*a**2*sqrt(x)/b**3 - 2*A*a*x**(3/2)/(3*b**2) + 2*A*x**(5/2)/(5*b) - I*B*a**(7/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**5*sqrt(1/b)) + I*B*a**(7/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**5*sqrt(1/b)) - 2*B*a**3*sqrt(x)/b**4 + 2*B*a**2*x**(3/2)/(3*b**3) - 2*B*a*x**(5/2)/(5*b**2) + 2*B*x**(7/2)/(7*b), Ne(b, 0)), ((2*A*x**(7/2)/7 + 2*B*x**(9/2)/9)/a, True))","A",0
346,1,245,0,4.817387," ","integrate(x**(3/2)*(B*x+A)/(b*x+a),x)","\begin{cases} - \frac{i A a^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{3} \sqrt{\frac{1}{b}}} + \frac{i A a^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{3} \sqrt{\frac{1}{b}}} - \frac{2 A a \sqrt{x}}{b^{2}} + \frac{2 A x^{\frac{3}{2}}}{3 b} + \frac{i B a^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{4} \sqrt{\frac{1}{b}}} - \frac{i B a^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{4} \sqrt{\frac{1}{b}}} + \frac{2 B a^{2} \sqrt{x}}{b^{3}} - \frac{2 B a x^{\frac{3}{2}}}{3 b^{2}} + \frac{2 B x^{\frac{5}{2}}}{5 b} & \text{for}\: b \neq 0 \\\frac{\frac{2 A x^{\frac{5}{2}}}{5} + \frac{2 B x^{\frac{7}{2}}}{7}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*A*a**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**3*sqrt(1/b)) + I*A*a**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**3*sqrt(1/b)) - 2*A*a*sqrt(x)/b**2 + 2*A*x**(3/2)/(3*b) + I*B*a**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**4*sqrt(1/b)) - I*B*a**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**4*sqrt(1/b)) + 2*B*a**2*sqrt(x)/b**3 - 2*B*a*x**(3/2)/(3*b**2) + 2*B*x**(5/2)/(5*b), Ne(b, 0)), ((2*A*x**(5/2)/5 + 2*B*x**(7/2)/7)/a, True))","A",0
347,1,212,0,2.865438," ","integrate((B*x+A)*x**(1/2)/(b*x+a),x)","\begin{cases} \frac{i A \sqrt{a} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{2} \sqrt{\frac{1}{b}}} - \frac{i A \sqrt{a} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{2} \sqrt{\frac{1}{b}}} + \frac{2 A \sqrt{x}}{b} - \frac{i B a^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{3} \sqrt{\frac{1}{b}}} + \frac{i B a^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{3} \sqrt{\frac{1}{b}}} - \frac{2 B a \sqrt{x}}{b^{2}} + \frac{2 B x^{\frac{3}{2}}}{3 b} & \text{for}\: b \neq 0 \\\frac{\frac{2 A x^{\frac{3}{2}}}{3} + \frac{2 B x^{\frac{5}{2}}}{5}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*A*sqrt(a)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**2*sqrt(1/b)) - I*A*sqrt(a)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**2*sqrt(1/b)) + 2*A*sqrt(x)/b - I*B*a**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**3*sqrt(1/b)) + I*B*a**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**3*sqrt(1/b)) - 2*B*a*sqrt(x)/b**2 + 2*B*x**(3/2)/(3*b), Ne(b, 0)), ((2*A*x**(3/2)/3 + 2*B*x**(5/2)/5)/a, True))","A",0
348,1,218,0,2.107163," ","integrate((B*x+A)/(b*x+a)/x**(1/2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{3}{2}}}{3}}{a} & \text{for}\: b = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}}{b} & \text{for}\: a = 0 \\- \frac{i A \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{\sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i A \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{\sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i B \sqrt{a} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{2} \sqrt{\frac{1}{b}}} - \frac{i B \sqrt{a} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{b^{2} \sqrt{\frac{1}{b}}} + \frac{2 B \sqrt{x}}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/sqrt(x) + 2*B*sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((2*A*sqrt(x) + 2*B*x**(3/2)/3)/a, Eq(b, 0)), ((-2*A/sqrt(x) + 2*B*sqrt(x))/b, Eq(a, 0)), (-I*A*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(sqrt(a)*b*sqrt(1/b)) + I*A*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(sqrt(a)*b*sqrt(1/b)) + I*B*sqrt(a)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**2*sqrt(1/b)) - I*B*sqrt(a)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(b**2*sqrt(1/b)) + 2*B*sqrt(x)/b, True))","A",0
349,1,216,0,3.287270," ","integrate((B*x+A)/x**(3/2)/(b*x+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}}{b} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}}{a} & \text{for}\: b = 0 \\- \frac{2 A}{a \sqrt{x}} + \frac{i A \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{i A \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{i B \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{\sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i B \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{\sqrt{a} b \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(3*x**(3/2)) - 2*B/sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((-2*A/(3*x**(3/2)) - 2*B/sqrt(x))/b, Eq(a, 0)), ((-2*A/sqrt(x) + 2*B*sqrt(x))/a, Eq(b, 0)), (-2*A/(a*sqrt(x)) + I*A*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(3/2)*sqrt(1/b)) - I*A*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(3/2)*sqrt(1/b)) - I*B*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(sqrt(a)*b*sqrt(1/b)) + I*B*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(sqrt(a)*b*sqrt(1/b)), True))","A",0
350,1,248,0,9.453967," ","integrate((B*x+A)/x**(5/2)/(b*x+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{5 x^{\frac{5}{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}{\sqrt{x}}}{a} & \text{for}\: b = 0 \\- \frac{2 A}{3 a x^{\frac{3}{2}}} + \frac{2 A b}{a^{2} \sqrt{x}} - \frac{i A b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{i A b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{2 B}{a \sqrt{x}} + \frac{i B \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{i B \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{3}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2)))/b, Eq(a, 0)), ((-2*A/(3*x**(3/2)) - 2*B/sqrt(x))/a, Eq(b, 0)), (-2*A/(3*a*x**(3/2)) + 2*A*b/(a**2*sqrt(x)) - I*A*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(5/2)*sqrt(1/b)) + I*A*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(5/2)*sqrt(1/b)) - 2*B/(a*sqrt(x)) + I*B*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(3/2)*sqrt(1/b)) - I*B*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(3/2)*sqrt(1/b)), True))","A",0
351,1,289,0,29.133121," ","integrate((B*x+A)/x**(7/2)/(b*x+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{5 x^{\frac{5}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{5 x^{\frac{5}{2}}}}{b} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}}{a} & \text{for}\: b = 0 \\- \frac{2 A}{5 a x^{\frac{5}{2}}} + \frac{2 A b}{3 a^{2} x^{\frac{3}{2}}} - \frac{2 A b^{2}}{a^{3} \sqrt{x}} + \frac{i A b^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{i A b^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{2 B}{3 a x^{\frac{3}{2}}} + \frac{2 B b}{a^{2} \sqrt{x}} - \frac{i B b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{i B b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{5}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(7*x**(7/2)) - 2*B/(5*x**(5/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(7*x**(7/2)) - 2*B/(5*x**(5/2)))/b, Eq(a, 0)), ((-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2)))/a, Eq(b, 0)), (-2*A/(5*a*x**(5/2)) + 2*A*b/(3*a**2*x**(3/2)) - 2*A*b**2/(a**3*sqrt(x)) + I*A*b**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(7/2)*sqrt(1/b)) - I*A*b**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(7/2)*sqrt(1/b)) - 2*B/(3*a*x**(3/2)) + 2*B*b/(a**2*sqrt(x)) - I*B*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(5/2)*sqrt(1/b)) + I*B*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(5/2)*sqrt(1/b)), True))","A",0
352,1,326,0,79.167822," ","integrate((B*x+A)/x**(9/2)/(b*x+a),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}}{b} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{5 x^{\frac{5}{2}}}}{a} & \text{for}\: b = 0 \\- \frac{2 A}{7 a x^{\frac{7}{2}}} + \frac{2 A b}{5 a^{2} x^{\frac{5}{2}}} - \frac{2 A b^{2}}{3 a^{3} x^{\frac{3}{2}}} + \frac{2 A b^{3}}{a^{4} \sqrt{x}} - \frac{i A b^{3} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{9}{2}} \sqrt{\frac{1}{b}}} + \frac{i A b^{3} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{9}{2}} \sqrt{\frac{1}{b}}} - \frac{2 B}{5 a x^{\frac{5}{2}}} + \frac{2 B b}{3 a^{2} x^{\frac{3}{2}}} - \frac{2 B b^{2}}{a^{3} \sqrt{x}} + \frac{i B b^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{i B b^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{a^{\frac{7}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(9*x**(9/2)) - 2*B/(7*x**(7/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(9*x**(9/2)) - 2*B/(7*x**(7/2)))/b, Eq(a, 0)), ((-2*A/(7*x**(7/2)) - 2*B/(5*x**(5/2)))/a, Eq(b, 0)), (-2*A/(7*a*x**(7/2)) + 2*A*b/(5*a**2*x**(5/2)) - 2*A*b**2/(3*a**3*x**(3/2)) + 2*A*b**3/(a**4*sqrt(x)) - I*A*b**3*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(9/2)*sqrt(1/b)) + I*A*b**3*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(9/2)*sqrt(1/b)) - 2*B/(5*a*x**(5/2)) + 2*B*b/(3*a**2*x**(3/2)) - 2*B*b**2/(a**3*sqrt(x)) + I*B*b**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(7/2)*sqrt(1/b)) - I*B*b**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(a**(7/2)*sqrt(1/b)), True))","A",0
353,-1,0,0,0.000000," ","integrate((B*x+A)/x**(11/2)/(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
354,1,1197,0,156.279370," ","integrate(x**(7/2)*(B*x+A)/(b*x+a)**2,x)","\begin{cases} \tilde{\infty} \left(\frac{2 A x^{\frac{5}{2}}}{5} + \frac{2 B x^{\frac{7}{2}}}{7}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{\frac{2 A x^{\frac{5}{2}}}{5} + \frac{2 B x^{\frac{7}{2}}}{7}}{b^{2}} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{9}{2}}}{9} + \frac{2 B x^{\frac{11}{2}}}{11}}{a^{2}} & \text{for}\: b = 0 \\\frac{1470 i A a^{\frac{7}{2}} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{980 i A a^{\frac{5}{2}} b^{3} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{196 i A a^{\frac{3}{2}} b^{4} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{84 i A \sqrt{a} b^{5} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{735 A a^{4} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{735 A a^{4} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{735 A a^{3} b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{735 A a^{3} b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{1890 i B a^{\frac{9}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{1260 i B a^{\frac{7}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{252 i B a^{\frac{5}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{108 i B a^{\frac{3}{2}} b^{4} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{60 i B \sqrt{a} b^{5} x^{\frac{9}{2}} \sqrt{\frac{1}{b}}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{945 B a^{5} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{945 B a^{5} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} + \frac{945 B a^{4} b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} - \frac{945 B a^{4} b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{210 i a^{\frac{3}{2}} b^{6} \sqrt{\frac{1}{b}} + 210 i \sqrt{a} b^{7} x \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*x**(5/2)/5 + 2*B*x**(7/2)/7), Eq(a, 0) & Eq(b, 0)), ((2*A*x**(5/2)/5 + 2*B*x**(7/2)/7)/b**2, Eq(a, 0)), ((2*A*x**(9/2)/9 + 2*B*x**(11/2)/11)/a**2, Eq(b, 0)), (1470*I*A*a**(7/2)*b**2*sqrt(x)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 980*I*A*a**(5/2)*b**3*x**(3/2)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 196*I*A*a**(3/2)*b**4*x**(5/2)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 84*I*A*sqrt(a)*b**5*x**(7/2)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 735*A*a**4*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 735*A*a**4*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 735*A*a**3*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 735*A*a**3*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 1890*I*B*a**(9/2)*b*sqrt(x)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 1260*I*B*a**(7/2)*b**2*x**(3/2)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 252*I*B*a**(5/2)*b**3*x**(5/2)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 108*I*B*a**(3/2)*b**4*x**(7/2)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 60*I*B*sqrt(a)*b**5*x**(9/2)*sqrt(1/b)/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 945*B*a**5*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 945*B*a**5*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) + 945*B*a**4*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)) - 945*B*a**4*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(210*I*a**(3/2)*b**6*sqrt(1/b) + 210*I*sqrt(a)*b**7*x*sqrt(1/b)), True))","A",0
355,1,1068,0,54.883874," ","integrate(x**(5/2)*(B*x+A)/(b*x+a)**2,x)","\begin{cases} \tilde{\infty} \left(\frac{2 A x^{\frac{3}{2}}}{3} + \frac{2 B x^{\frac{5}{2}}}{5}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{\frac{2 A x^{\frac{3}{2}}}{3} + \frac{2 B x^{\frac{5}{2}}}{5}}{b^{2}} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{7}{2}}}{7} + \frac{2 B x^{\frac{9}{2}}}{9}}{a^{2}} & \text{for}\: b = 0 \\- \frac{150 i A a^{\frac{5}{2}} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} - \frac{100 i A a^{\frac{3}{2}} b^{3} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{20 i A \sqrt{a} b^{4} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{75 A a^{3} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} - \frac{75 A a^{3} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{75 A a^{2} b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} - \frac{75 A a^{2} b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{210 i B a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{140 i B a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} - \frac{28 i B a^{\frac{3}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{12 i B \sqrt{a} b^{4} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} - \frac{105 B a^{4} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{105 B a^{4} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} - \frac{105 B a^{3} b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} + \frac{105 B a^{3} b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{3}{2}} b^{5} \sqrt{\frac{1}{b}} + 30 i \sqrt{a} b^{6} x \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*x**(3/2)/3 + 2*B*x**(5/2)/5), Eq(a, 0) & Eq(b, 0)), ((2*A*x**(3/2)/3 + 2*B*x**(5/2)/5)/b**2, Eq(a, 0)), ((2*A*x**(7/2)/7 + 2*B*x**(9/2)/9)/a**2, Eq(b, 0)), (-150*I*A*a**(5/2)*b**2*sqrt(x)*sqrt(1/b)/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) - 100*I*A*a**(3/2)*b**3*x**(3/2)*sqrt(1/b)/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 20*I*A*sqrt(a)*b**4*x**(5/2)*sqrt(1/b)/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 75*A*a**3*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) - 75*A*a**3*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 75*A*a**2*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) - 75*A*a**2*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 210*I*B*a**(7/2)*b*sqrt(x)*sqrt(1/b)/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 140*I*B*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) - 28*I*B*a**(3/2)*b**3*x**(5/2)*sqrt(1/b)/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 12*I*B*sqrt(a)*b**4*x**(7/2)*sqrt(1/b)/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) - 105*B*a**4*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 105*B*a**4*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) - 105*B*a**3*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)) + 105*B*a**3*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(3/2)*b**5*sqrt(1/b) + 30*I*sqrt(a)*b**6*x*sqrt(1/b)), True))","A",0
356,1,932,0,15.181158," ","integrate(x**(3/2)*(B*x+A)/(b*x+a)**2,x)","\begin{cases} \tilde{\infty} \left(2 A \sqrt{x} + \frac{2 B x^{\frac{3}{2}}}{3}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{3}{2}}}{3}}{b^{2}} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{5}{2}}}{5} + \frac{2 B x^{\frac{7}{2}}}{7}}{a^{2}} & \text{for}\: b = 0 \\\frac{18 i A a^{\frac{3}{2}} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} + \frac{12 i A \sqrt{a} b^{3} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} - \frac{9 A a^{2} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} + \frac{9 A a^{2} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} - \frac{9 A a b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} + \frac{9 A a b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} - \frac{30 i B a^{\frac{5}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} - \frac{20 i B a^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} + \frac{4 i B \sqrt{a} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} + \frac{15 B a^{3} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} - \frac{15 B a^{3} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} + \frac{15 B a^{2} b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} - \frac{15 B a^{2} b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{3}{2}} b^{4} \sqrt{\frac{1}{b}} + 6 i \sqrt{a} b^{5} x \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*sqrt(x) + 2*B*x**(3/2)/3), Eq(a, 0) & Eq(b, 0)), ((2*A*sqrt(x) + 2*B*x**(3/2)/3)/b**2, Eq(a, 0)), ((2*A*x**(5/2)/5 + 2*B*x**(7/2)/7)/a**2, Eq(b, 0)), (18*I*A*a**(3/2)*b**2*sqrt(x)*sqrt(1/b)/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) + 12*I*A*sqrt(a)*b**3*x**(3/2)*sqrt(1/b)/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) - 9*A*a**2*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) + 9*A*a**2*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) - 9*A*a*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) + 9*A*a*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) - 30*I*B*a**(5/2)*b*sqrt(x)*sqrt(1/b)/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) - 20*I*B*a**(3/2)*b**2*x**(3/2)*sqrt(1/b)/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) + 4*I*B*sqrt(a)*b**3*x**(5/2)*sqrt(1/b)/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) + 15*B*a**3*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) - 15*B*a**3*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) + 15*B*a**2*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)) - 15*B*a**2*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(3/2)*b**4*sqrt(1/b) + 6*I*sqrt(a)*b**5*x*sqrt(1/b)), True))","A",0
357,1,782,0,7.282322," ","integrate((B*x+A)*x**(1/2)/(b*x+a)**2,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}}{b^{2}} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{3}{2}}}{3} + \frac{2 B x^{\frac{5}{2}}}{5}}{a^{2}} & \text{for}\: b = 0 \\- \frac{2 i A \sqrt{a} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} + \frac{A a b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} - \frac{A a b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} + \frac{A b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} - \frac{A b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} + \frac{6 i B a^{\frac{3}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} + \frac{4 i B \sqrt{a} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} - \frac{3 B a^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} + \frac{3 B a^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} - \frac{3 B a b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} + \frac{3 B a b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{3}{2}} b^{3} \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{4} x \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/sqrt(x) + 2*B*sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((-2*A/sqrt(x) + 2*B*sqrt(x))/b**2, Eq(a, 0)), ((2*A*x**(3/2)/3 + 2*B*x**(5/2)/5)/a**2, Eq(b, 0)), (-2*I*A*sqrt(a)*b**2*sqrt(x)*sqrt(1/b)/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) + A*a*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) - A*a*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) + A*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) - A*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) + 6*I*B*a**(3/2)*b*sqrt(x)*sqrt(1/b)/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) + 4*I*B*sqrt(a)*b**2*x**(3/2)*sqrt(1/b)/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) - 3*B*a**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) + 3*B*a**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) - 3*B*a*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)) + 3*B*a*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(3/2)*b**3*sqrt(1/b) + 2*I*sqrt(a)*b**4*x*sqrt(1/b)), True))","A",0
358,1,716,0,8.356200," ","integrate((B*x+A)/(b*x+a)**2/x**(1/2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}}{b^{2}} & \text{for}\: a = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{3}{2}}}{3}}{a^{2}} & \text{for}\: b = 0 \\\frac{2 i A \sqrt{a} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} + \frac{A a b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} - \frac{A a b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} + \frac{A b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} - \frac{A b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} - \frac{2 i B a^{\frac{3}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} + \frac{B a^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} - \frac{B a^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} + \frac{B a b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} - \frac{B a b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{5}{2}} b^{2} \sqrt{\frac{1}{b}} + 2 i a^{\frac{3}{2}} b^{3} x \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(3*x**(3/2)) - 2*B/sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((-2*A/(3*x**(3/2)) - 2*B/sqrt(x))/b**2, Eq(a, 0)), ((2*A*sqrt(x) + 2*B*x**(3/2)/3)/a**2, Eq(b, 0)), (2*I*A*sqrt(a)*b**2*sqrt(x)*sqrt(1/b)/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) + A*a*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) - A*a*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) + A*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) - A*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) - 2*I*B*a**(3/2)*b*sqrt(x)*sqrt(1/b)/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) + B*a**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) - B*a**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) + B*a*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)) - B*a*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(5/2)*b**2*sqrt(1/b) + 2*I*a**(3/2)*b**3*x*sqrt(1/b)), True))","A",0
359,1,884,0,21.124168," ","integrate((B*x+A)/x**(3/2)/(b*x+a)**2,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}}{b^{2}} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}}{a^{2}} & \text{for}\: b = 0 \\- \frac{4 i A a^{\frac{3}{2}} b \sqrt{\frac{1}{b}}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{6 i A \sqrt{a} b^{2} x \sqrt{\frac{1}{b}}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{3 A a b \sqrt{x} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} + \frac{3 A a b \sqrt{x} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{3 A b^{2} x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} + \frac{3 A b^{2} x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} + \frac{2 i B a^{\frac{3}{2}} b x \sqrt{\frac{1}{b}}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} + \frac{B a^{2} \sqrt{x} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{B a^{2} \sqrt{x} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} + \frac{B a b x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} - \frac{B a b x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{2 i a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 2 i a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2)))/b**2, Eq(a, 0)), ((-2*A/sqrt(x) + 2*B*sqrt(x))/a**2, Eq(b, 0)), (-4*I*A*a**(3/2)*b*sqrt(1/b)/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) - 6*I*A*sqrt(a)*b**2*x*sqrt(1/b)/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) - 3*A*a*b*sqrt(x)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) + 3*A*a*b*sqrt(x)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) - 3*A*b**2*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) + 3*A*b**2*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) + 2*I*B*a**(3/2)*b*x*sqrt(1/b)/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) + B*a**2*sqrt(x)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) - B*a**2*sqrt(x)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) + B*a*b*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)) - B*a*b*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(2*I*a**(7/2)*b*sqrt(x)*sqrt(1/b) + 2*I*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)), True))","A",0
360,1,983,0,54.135906," ","integrate((B*x+A)/x**(5/2)/(b*x+a)**2,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{5 x^{\frac{5}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{5 x^{\frac{5}{2}}}}{b^{2}} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}}{a^{2}} & \text{for}\: b = 0 \\- \frac{4 i A a^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{20 i A a^{\frac{3}{2}} b x \sqrt{\frac{1}{b}}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{30 i A \sqrt{a} b^{2} x^{2} \sqrt{\frac{1}{b}}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{15 A a b x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{15 A a b x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{15 A b^{2} x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{15 A b^{2} x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{12 i B a^{\frac{5}{2}} x \sqrt{\frac{1}{b}}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{18 i B a^{\frac{3}{2}} b x^{2} \sqrt{\frac{1}{b}}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{9 B a^{2} x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{9 B a^{2} x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{9 B a b x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{9 B a b x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{6 i a^{\frac{9}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 6 i a^{\frac{7}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(7*x**(7/2)) - 2*B/(5*x**(5/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(7*x**(7/2)) - 2*B/(5*x**(5/2)))/b**2, Eq(a, 0)), ((-2*A/(3*x**(3/2)) - 2*B/sqrt(x))/a**2, Eq(b, 0)), (-4*I*A*a**(5/2)*sqrt(1/b)/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) + 20*I*A*a**(3/2)*b*x*sqrt(1/b)/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) + 30*I*A*sqrt(a)*b**2*x**2*sqrt(1/b)/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) + 15*A*a*b*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) - 15*A*a*b*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) + 15*A*b**2*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) - 15*A*b**2*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) - 12*I*B*a**(5/2)*x*sqrt(1/b)/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) - 18*I*B*a**(3/2)*b*x**2*sqrt(1/b)/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) - 9*B*a**2*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) + 9*B*a**2*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) - 9*B*a*b*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)) + 9*B*a*b*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(6*I*a**(9/2)*x**(3/2)*sqrt(1/b) + 6*I*a**(7/2)*b*x**(5/2)*sqrt(1/b)), True))","A",0
361,1,1127,0,161.122684," ","integrate((B*x+A)/x**(7/2)/(b*x+a)**2,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}}{a^{2}} & \text{for}\: b = 0 \\\frac{- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}}{b^{2}} & \text{for}\: a = 0 \\- \frac{12 i A a^{\frac{7}{2}} \sqrt{\frac{1}{b}}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{28 i A a^{\frac{5}{2}} b x \sqrt{\frac{1}{b}}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{140 i A a^{\frac{3}{2}} b^{2} x^{2} \sqrt{\frac{1}{b}}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{210 i A \sqrt{a} b^{3} x^{3} \sqrt{\frac{1}{b}}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{105 A a b^{2} x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{105 A a b^{2} x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{105 A b^{3} x^{\frac{7}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{105 A b^{3} x^{\frac{7}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{20 i B a^{\frac{7}{2}} x \sqrt{\frac{1}{b}}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{100 i B a^{\frac{5}{2}} b x^{2} \sqrt{\frac{1}{b}}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{150 i B a^{\frac{3}{2}} b^{2} x^{3} \sqrt{\frac{1}{b}}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{75 B a^{2} b x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{75 B a^{2} b x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{75 B a b^{2} x^{\frac{7}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{75 B a b^{2} x^{\frac{7}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{30 i a^{\frac{11}{2}} x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 30 i a^{\frac{9}{2}} b x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(9*x**(9/2)) - 2*B/(7*x**(7/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2)))/a**2, Eq(b, 0)), ((-2*A/(9*x**(9/2)) - 2*B/(7*x**(7/2)))/b**2, Eq(a, 0)), (-12*I*A*a**(7/2)*sqrt(1/b)/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) + 28*I*A*a**(5/2)*b*x*sqrt(1/b)/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) - 140*I*A*a**(3/2)*b**2*x**2*sqrt(1/b)/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) - 210*I*A*sqrt(a)*b**3*x**3*sqrt(1/b)/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) - 105*A*a*b**2*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) + 105*A*a*b**2*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) - 105*A*b**3*x**(7/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) + 105*A*b**3*x**(7/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) - 20*I*B*a**(7/2)*x*sqrt(1/b)/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) + 100*I*B*a**(5/2)*b*x**2*sqrt(1/b)/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) + 150*I*B*a**(3/2)*b**2*x**3*sqrt(1/b)/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) + 75*B*a**2*b*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) - 75*B*a**2*b*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) + 75*B*a*b**2*x**(7/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)) - 75*B*a*b**2*x**(7/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(30*I*a**(11/2)*x**(5/2)*sqrt(1/b) + 30*I*a**(9/2)*b*x**(7/2)*sqrt(1/b)), True))","A",0
362,-1,0,0,0.000000," ","integrate((B*x+A)/x**(9/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
363,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x+A)/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
364,1,1773,0,85.127545," ","integrate(x**(5/2)*(B*x+A)/(b*x+a)**3,x)","\begin{cases} \tilde{\infty} \left(2 A \sqrt{x} + \frac{2 B x^{\frac{3}{2}}}{3}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{3}{2}}}{3}}{b^{3}} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{7}{2}}}{7} + \frac{2 B x^{\frac{9}{2}}}{9}}{a^{3}} & \text{for}\: b = 0 \\\frac{90 i A a^{\frac{5}{2}} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{150 i A a^{\frac{3}{2}} b^{3} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{48 i A \sqrt{a} b^{4} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{45 A a^{3} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{45 A a^{3} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{90 A a^{2} b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{90 A a^{2} b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{45 A a b^{3} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{45 A a b^{3} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{210 i B a^{\frac{7}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{350 i B a^{\frac{5}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{112 i B a^{\frac{3}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{16 i B \sqrt{a} b^{4} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{105 B a^{4} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{105 B a^{4} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{210 B a^{3} b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{210 B a^{3} b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} + \frac{105 B a^{2} b^{2} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} - \frac{105 B a^{2} b^{2} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{5}{2}} b^{5} \sqrt{\frac{1}{b}} + 48 i a^{\frac{3}{2}} b^{6} x \sqrt{\frac{1}{b}} + 24 i \sqrt{a} b^{7} x^{2} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*sqrt(x) + 2*B*x**(3/2)/3), Eq(a, 0) & Eq(b, 0)), ((2*A*sqrt(x) + 2*B*x**(3/2)/3)/b**3, Eq(a, 0)), ((2*A*x**(7/2)/7 + 2*B*x**(9/2)/9)/a**3, Eq(b, 0)), (90*I*A*a**(5/2)*b**2*sqrt(x)*sqrt(1/b)/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 150*I*A*a**(3/2)*b**3*x**(3/2)*sqrt(1/b)/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 48*I*A*sqrt(a)*b**4*x**(5/2)*sqrt(1/b)/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 45*A*a**3*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 45*A*a**3*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 90*A*a**2*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 90*A*a**2*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 45*A*a*b**3*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 45*A*a*b**3*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 210*I*B*a**(7/2)*b*sqrt(x)*sqrt(1/b)/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 350*I*B*a**(5/2)*b**2*x**(3/2)*sqrt(1/b)/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 112*I*B*a**(3/2)*b**3*x**(5/2)*sqrt(1/b)/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 16*I*B*sqrt(a)*b**4*x**(7/2)*sqrt(1/b)/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 105*B*a**4*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 105*B*a**4*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 210*B*a**3*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 210*B*a**3*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) + 105*B*a**2*b**2*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)) - 105*B*a**2*b**2*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(5/2)*b**5*sqrt(1/b) + 48*I*a**(3/2)*b**6*x*sqrt(1/b) + 24*I*sqrt(a)*b**7*x**2*sqrt(1/b)), True))","A",0
365,1,1586,0,35.497579," ","integrate(x**(3/2)*(B*x+A)/(b*x+a)**3,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}}{b^{3}} & \text{for}\: a = 0 \\\frac{\frac{2 A x^{\frac{5}{2}}}{5} + \frac{2 B x^{\frac{7}{2}}}{7}}{a^{3}} & \text{for}\: b = 0 \\- \frac{6 i A a^{\frac{3}{2}} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} - \frac{10 i A \sqrt{a} b^{3} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{3 A a^{2} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} - \frac{3 A a^{2} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{6 A a b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} - \frac{6 A a b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{3 A b^{3} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} - \frac{3 A b^{3} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{30 i B a^{\frac{5}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{50 i B a^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{16 i B \sqrt{a} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} - \frac{15 B a^{3} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{15 B a^{3} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} - \frac{30 B a^{2} b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{30 B a^{2} b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} - \frac{15 B a b^{2} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} + \frac{15 B a b^{2} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{5}{2}} b^{4} \sqrt{\frac{1}{b}} + 16 i a^{\frac{3}{2}} b^{5} x \sqrt{\frac{1}{b}} + 8 i \sqrt{a} b^{6} x^{2} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/sqrt(x) + 2*B*sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((-2*A/sqrt(x) + 2*B*sqrt(x))/b**3, Eq(a, 0)), ((2*A*x**(5/2)/5 + 2*B*x**(7/2)/7)/a**3, Eq(b, 0)), (-6*I*A*a**(3/2)*b**2*sqrt(x)*sqrt(1/b)/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) - 10*I*A*sqrt(a)*b**3*x**(3/2)*sqrt(1/b)/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 3*A*a**2*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) - 3*A*a**2*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 6*A*a*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) - 6*A*a*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 3*A*b**3*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) - 3*A*b**3*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 30*I*B*a**(5/2)*b*sqrt(x)*sqrt(1/b)/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 50*I*B*a**(3/2)*b**2*x**(3/2)*sqrt(1/b)/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 16*I*B*sqrt(a)*b**3*x**(5/2)*sqrt(1/b)/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) - 15*B*a**3*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 15*B*a**3*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) - 30*B*a**2*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 30*B*a**2*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) - 15*B*a*b**2*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)) + 15*B*a*b**2*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(5/2)*b**4*sqrt(1/b) + 16*I*a**(3/2)*b**5*x*sqrt(1/b) + 8*I*sqrt(a)*b**6*x**2*sqrt(1/b)), True))","A",0
366,1,1499,0,20.726567," ","integrate((B*x+A)*x**(1/2)/(b*x+a)**3,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{\frac{2 A x^{\frac{3}{2}}}{3} + \frac{2 B x^{\frac{5}{2}}}{5}}{a^{3}} & \text{for}\: b = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}}{b^{3}} & \text{for}\: a = 0 \\- \frac{2 i A a^{\frac{3}{2}} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} + \frac{2 i A \sqrt{a} b^{3} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} + \frac{A a^{2} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{A a^{2} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} + \frac{2 A a b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{2 A a b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} + \frac{A b^{3} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{A b^{3} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{6 i B a^{\frac{5}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{10 i B a^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} + \frac{3 B a^{3} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{3 B a^{3} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} + \frac{6 B a^{2} b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{6 B a^{2} b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} + \frac{3 B a b^{2} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} - \frac{3 B a b^{2} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{7}{2}} b^{3} \sqrt{\frac{1}{b}} + 16 i a^{\frac{5}{2}} b^{4} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{3}{2}} b^{5} x^{2} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(3*x**(3/2)) - 2*B/sqrt(x)), Eq(a, 0) & Eq(b, 0)), ((2*A*x**(3/2)/3 + 2*B*x**(5/2)/5)/a**3, Eq(b, 0)), ((-2*A/(3*x**(3/2)) - 2*B/sqrt(x))/b**3, Eq(a, 0)), (-2*I*A*a**(3/2)*b**2*sqrt(x)*sqrt(1/b)/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) + 2*I*A*sqrt(a)*b**3*x**(3/2)*sqrt(1/b)/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) + A*a**2*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - A*a**2*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) + 2*A*a*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - 2*A*a*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) + A*b**3*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - A*b**3*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - 6*I*B*a**(5/2)*b*sqrt(x)*sqrt(1/b)/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - 10*I*B*a**(3/2)*b**2*x**(3/2)*sqrt(1/b)/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) + 3*B*a**3*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - 3*B*a**3*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) + 6*B*a**2*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - 6*B*a**2*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) + 3*B*a*b**2*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)) - 3*B*a*b**2*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(7/2)*b**3*sqrt(1/b) + 16*I*a**(5/2)*b**4*x*sqrt(1/b) + 8*I*a**(3/2)*b**5*x**2*sqrt(1/b)), True))","A",0
367,1,1501,0,28.977120," ","integrate((B*x+A)/(b*x+a)**3/x**(1/2),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{5 x^{\frac{5}{2}}} - \frac{2 B}{3 x^{\frac{3}{2}}}}{b^{3}} & \text{for}\: a = 0 \\\frac{2 A \sqrt{x} + \frac{2 B x^{\frac{3}{2}}}{3}}{a^{3}} & \text{for}\: b = 0 \\\frac{10 i A a^{\frac{3}{2}} b^{2} \sqrt{x} \sqrt{\frac{1}{b}}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{6 i A \sqrt{a} b^{3} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{3 A a^{2} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} - \frac{3 A a^{2} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{6 A a b^{2} x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} - \frac{6 A a b^{2} x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{3 A b^{3} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} - \frac{3 A b^{3} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} - \frac{2 i B a^{\frac{5}{2}} b \sqrt{x} \sqrt{\frac{1}{b}}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{2 i B a^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{B a^{3} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} - \frac{B a^{3} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{2 B a^{2} b x \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} - \frac{2 B a^{2} b x \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} + \frac{B a b^{2} x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} - \frac{B a b^{2} x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{9}{2}} b^{2} \sqrt{\frac{1}{b}} + 16 i a^{\frac{7}{2}} b^{3} x \sqrt{\frac{1}{b}} + 8 i a^{\frac{5}{2}} b^{4} x^{2} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(5*x**(5/2)) - 2*B/(3*x**(3/2)))/b**3, Eq(a, 0)), ((2*A*sqrt(x) + 2*B*x**(3/2)/3)/a**3, Eq(b, 0)), (10*I*A*a**(3/2)*b**2*sqrt(x)*sqrt(1/b)/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + 6*I*A*sqrt(a)*b**3*x**(3/2)*sqrt(1/b)/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + 3*A*a**2*b*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) - 3*A*a**2*b*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + 6*A*a*b**2*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) - 6*A*a*b**2*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + 3*A*b**3*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) - 3*A*b**3*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) - 2*I*B*a**(5/2)*b*sqrt(x)*sqrt(1/b)/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + 2*I*B*a**(3/2)*b**2*x**(3/2)*sqrt(1/b)/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + B*a**3*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) - B*a**3*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + 2*B*a**2*b*x*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) - 2*B*a**2*b*x*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) + B*a*b**2*x**2*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)) - B*a*b**2*x**2*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(9/2)*b**2*sqrt(1/b) + 16*I*a**(7/2)*b**3*x*sqrt(1/b) + 8*I*a**(5/2)*b**4*x**2*sqrt(1/b)), True))","A",0
368,1,1761,0,63.665935," ","integrate((B*x+A)/x**(3/2)/(b*x+a)**3,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{5 x^{\frac{5}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{\sqrt{x}} + 2 B \sqrt{x}}{a^{3}} & \text{for}\: b = 0 \\\frac{- \frac{2 A}{7 x^{\frac{7}{2}}} - \frac{2 B}{5 x^{\frac{5}{2}}}}{b^{3}} & \text{for}\: a = 0 \\- \frac{16 i A a^{\frac{5}{2}} b \sqrt{\frac{1}{b}}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{50 i A a^{\frac{3}{2}} b^{2} x \sqrt{\frac{1}{b}}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{30 i A \sqrt{a} b^{3} x^{2} \sqrt{\frac{1}{b}}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{15 A a^{2} b \sqrt{x} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{15 A a^{2} b \sqrt{x} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{30 A a b^{2} x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{30 A a b^{2} x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{15 A b^{3} x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{15 A b^{3} x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{10 i B a^{\frac{5}{2}} b x \sqrt{\frac{1}{b}}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{6 i B a^{\frac{3}{2}} b^{2} x^{2} \sqrt{\frac{1}{b}}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{3 B a^{3} \sqrt{x} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{3 B a^{3} \sqrt{x} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{6 B a^{2} b x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{6 B a^{2} b x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} + \frac{3 B a b^{2} x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} - \frac{3 B a b^{2} x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{8 i a^{\frac{11}{2}} b \sqrt{x} \sqrt{\frac{1}{b}} + 16 i a^{\frac{9}{2}} b^{2} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 8 i a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(7*x**(7/2)) - 2*B/(5*x**(5/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/sqrt(x) + 2*B*sqrt(x))/a**3, Eq(b, 0)), ((-2*A/(7*x**(7/2)) - 2*B/(5*x**(5/2)))/b**3, Eq(a, 0)), (-16*I*A*a**(5/2)*b*sqrt(1/b)/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 50*I*A*a**(3/2)*b**2*x*sqrt(1/b)/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 30*I*A*sqrt(a)*b**3*x**2*sqrt(1/b)/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 15*A*a**2*b*sqrt(x)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 15*A*a**2*b*sqrt(x)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 30*A*a*b**2*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 30*A*a*b**2*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 15*A*b**3*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 15*A*b**3*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 10*I*B*a**(5/2)*b*x*sqrt(1/b)/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 6*I*B*a**(3/2)*b**2*x**2*sqrt(1/b)/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 3*B*a**3*sqrt(x)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 3*B*a**3*sqrt(x)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 6*B*a**2*b*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 6*B*a**2*b*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) + 3*B*a*b**2*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)) - 3*B*a*b**2*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(8*I*a**(11/2)*b*sqrt(x)*sqrt(1/b) + 16*I*a**(9/2)*b**2*x**(3/2)*sqrt(1/b) + 8*I*a**(7/2)*b**3*x**(5/2)*sqrt(1/b)), True))","A",0
369,1,1880,0,158.428025," ","integrate((B*x+A)/x**(5/2)/(b*x+a)**3,x)","\begin{cases} \tilde{\infty} \left(- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- \frac{2 A}{9 x^{\frac{9}{2}}} - \frac{2 B}{7 x^{\frac{7}{2}}}}{b^{3}} & \text{for}\: a = 0 \\\frac{- \frac{2 A}{3 x^{\frac{3}{2}}} - \frac{2 B}{\sqrt{x}}}{a^{3}} & \text{for}\: b = 0 \\- \frac{16 i A a^{\frac{7}{2}} \sqrt{\frac{1}{b}}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{112 i A a^{\frac{5}{2}} b x \sqrt{\frac{1}{b}}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{350 i A a^{\frac{3}{2}} b^{2} x^{2} \sqrt{\frac{1}{b}}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{210 i A \sqrt{a} b^{3} x^{3} \sqrt{\frac{1}{b}}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{105 A a^{2} b x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{105 A a^{2} b x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{210 A a b^{2} x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{210 A a b^{2} x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{105 A b^{3} x^{\frac{7}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{105 A b^{3} x^{\frac{7}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{48 i B a^{\frac{7}{2}} x \sqrt{\frac{1}{b}}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{150 i B a^{\frac{5}{2}} b x^{2} \sqrt{\frac{1}{b}}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{90 i B a^{\frac{3}{2}} b^{2} x^{3} \sqrt{\frac{1}{b}}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{45 B a^{3} x^{\frac{3}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{45 B a^{3} x^{\frac{3}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{90 B a^{2} b x^{\frac{5}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{90 B a^{2} b x^{\frac{5}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} - \frac{45 B a b^{2} x^{\frac{7}{2}} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} + \frac{45 B a b^{2} x^{\frac{7}{2}} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \sqrt{x} \right)}}{24 i a^{\frac{13}{2}} x^{\frac{3}{2}} \sqrt{\frac{1}{b}} + 48 i a^{\frac{11}{2}} b x^{\frac{5}{2}} \sqrt{\frac{1}{b}} + 24 i a^{\frac{9}{2}} b^{2} x^{\frac{7}{2}} \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*A/(9*x**(9/2)) - 2*B/(7*x**(7/2))), Eq(a, 0) & Eq(b, 0)), ((-2*A/(9*x**(9/2)) - 2*B/(7*x**(7/2)))/b**3, Eq(a, 0)), ((-2*A/(3*x**(3/2)) - 2*B/sqrt(x))/a**3, Eq(b, 0)), (-16*I*A*a**(7/2)*sqrt(1/b)/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 112*I*A*a**(5/2)*b*x*sqrt(1/b)/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 350*I*A*a**(3/2)*b**2*x**2*sqrt(1/b)/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 210*I*A*sqrt(a)*b**3*x**3*sqrt(1/b)/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 105*A*a**2*b*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 105*A*a**2*b*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 210*A*a*b**2*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 210*A*a*b**2*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 105*A*b**3*x**(7/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 105*A*b**3*x**(7/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 48*I*B*a**(7/2)*x*sqrt(1/b)/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 150*I*B*a**(5/2)*b*x**2*sqrt(1/b)/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 90*I*B*a**(3/2)*b**2*x**3*sqrt(1/b)/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 45*B*a**3*x**(3/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 45*B*a**3*x**(3/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 90*B*a**2*b*x**(5/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 90*B*a**2*b*x**(5/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) - 45*B*a*b**2*x**(7/2)*log(-I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)) + 45*B*a*b**2*x**(7/2)*log(I*sqrt(a)*sqrt(1/b) + sqrt(x))/(24*I*a**(13/2)*x**(3/2)*sqrt(1/b) + 48*I*a**(11/2)*b*x**(5/2)*sqrt(1/b) + 24*I*a**(9/2)*b**2*x**(7/2)*sqrt(1/b)), True))","A",0
370,-1,0,0,0.000000," ","integrate((B*x+A)/x**(7/2)/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
371,1,3417,0,2.227961," ","integrate(x**m*(b*x+a)**4*(B*x+A),x)","\begin{cases} - \frac{A a^{4}}{5 x^{5}} - \frac{A a^{3} b}{x^{4}} - \frac{2 A a^{2} b^{2}}{x^{3}} - \frac{2 A a b^{3}}{x^{2}} - \frac{A b^{4}}{x} - \frac{B a^{4}}{4 x^{4}} - \frac{4 B a^{3} b}{3 x^{3}} - \frac{3 B a^{2} b^{2}}{x^{2}} - \frac{4 B a b^{3}}{x} + B b^{4} \log{\left(x \right)} & \text{for}\: m = -6 \\- \frac{A a^{4}}{4 x^{4}} - \frac{4 A a^{3} b}{3 x^{3}} - \frac{3 A a^{2} b^{2}}{x^{2}} - \frac{4 A a b^{3}}{x} + A b^{4} \log{\left(x \right)} - \frac{B a^{4}}{3 x^{3}} - \frac{2 B a^{3} b}{x^{2}} - \frac{6 B a^{2} b^{2}}{x} + 4 B a b^{3} \log{\left(x \right)} + B b^{4} x & \text{for}\: m = -5 \\- \frac{A a^{4}}{3 x^{3}} - \frac{2 A a^{3} b}{x^{2}} - \frac{6 A a^{2} b^{2}}{x} + 4 A a b^{3} \log{\left(x \right)} + A b^{4} x - \frac{B a^{4}}{2 x^{2}} - \frac{4 B a^{3} b}{x} + 6 B a^{2} b^{2} \log{\left(x \right)} + 4 B a b^{3} x + \frac{B b^{4} x^{2}}{2} & \text{for}\: m = -4 \\- \frac{A a^{4}}{2 x^{2}} - \frac{4 A a^{3} b}{x} + 6 A a^{2} b^{2} \log{\left(x \right)} + 4 A a b^{3} x + \frac{A b^{4} x^{2}}{2} - \frac{B a^{4}}{x} + 4 B a^{3} b \log{\left(x \right)} + 6 B a^{2} b^{2} x + 2 B a b^{3} x^{2} + \frac{B b^{4} x^{3}}{3} & \text{for}\: m = -3 \\- \frac{A a^{4}}{x} + 4 A a^{3} b \log{\left(x \right)} + 6 A a^{2} b^{2} x + 2 A a b^{3} x^{2} + \frac{A b^{4} x^{3}}{3} + B a^{4} \log{\left(x \right)} + 4 B a^{3} b x + 3 B a^{2} b^{2} x^{2} + \frac{4 B a b^{3} x^{3}}{3} + \frac{B b^{4} x^{4}}{4} & \text{for}\: m = -2 \\A a^{4} \log{\left(x \right)} + 4 A a^{3} b x + 3 A a^{2} b^{2} x^{2} + \frac{4 A a b^{3} x^{3}}{3} + \frac{A b^{4} x^{4}}{4} + B a^{4} x + 2 B a^{3} b x^{2} + 2 B a^{2} b^{2} x^{3} + B a b^{3} x^{4} + \frac{B b^{4} x^{5}}{5} & \text{for}\: m = -1 \\\frac{A a^{4} m^{5} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{20 A a^{4} m^{4} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{155 A a^{4} m^{3} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{580 A a^{4} m^{2} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1044 A a^{4} m x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{720 A a^{4} x x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4 A a^{3} b m^{5} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{76 A a^{3} b m^{4} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{548 A a^{3} b m^{3} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1844 A a^{3} b m^{2} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2808 A a^{3} b m x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1440 A a^{3} b x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{6 A a^{2} b^{2} m^{5} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{108 A a^{2} b^{2} m^{4} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{726 A a^{2} b^{2} m^{3} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2232 A a^{2} b^{2} m^{2} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{3048 A a^{2} b^{2} m x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1440 A a^{2} b^{2} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4 A a b^{3} m^{5} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{68 A a b^{3} m^{4} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{428 A a b^{3} m^{3} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1228 A a b^{3} m^{2} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1584 A a b^{3} m x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{720 A a b^{3} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{A b^{4} m^{5} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{16 A b^{4} m^{4} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{95 A b^{4} m^{3} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{260 A b^{4} m^{2} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{324 A b^{4} m x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{144 A b^{4} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{B a^{4} m^{5} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{19 B a^{4} m^{4} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{137 B a^{4} m^{3} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{461 B a^{4} m^{2} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{702 B a^{4} m x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{360 B a^{4} x^{2} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4 B a^{3} b m^{5} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{72 B a^{3} b m^{4} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{484 B a^{3} b m^{3} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1488 B a^{3} b m^{2} x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2032 B a^{3} b m x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{960 B a^{3} b x^{3} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{6 B a^{2} b^{2} m^{5} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{102 B a^{2} b^{2} m^{4} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{642 B a^{2} b^{2} m^{3} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1842 B a^{2} b^{2} m^{2} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{2376 B a^{2} b^{2} m x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1080 B a^{2} b^{2} x^{4} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{4 B a b^{3} m^{5} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{64 B a b^{3} m^{4} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{380 B a b^{3} m^{3} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1040 B a b^{3} m^{2} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{1296 B a b^{3} m x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{576 B a b^{3} x^{5} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{B b^{4} m^{5} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{15 B b^{4} m^{4} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{85 B b^{4} m^{3} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{225 B b^{4} m^{2} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{274 B b^{4} m x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} + \frac{120 B b^{4} x^{6} x^{m}}{m^{6} + 21 m^{5} + 175 m^{4} + 735 m^{3} + 1624 m^{2} + 1764 m + 720} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*a**4/(5*x**5) - A*a**3*b/x**4 - 2*A*a**2*b**2/x**3 - 2*A*a*b**3/x**2 - A*b**4/x - B*a**4/(4*x**4) - 4*B*a**3*b/(3*x**3) - 3*B*a**2*b**2/x**2 - 4*B*a*b**3/x + B*b**4*log(x), Eq(m, -6)), (-A*a**4/(4*x**4) - 4*A*a**3*b/(3*x**3) - 3*A*a**2*b**2/x**2 - 4*A*a*b**3/x + A*b**4*log(x) - B*a**4/(3*x**3) - 2*B*a**3*b/x**2 - 6*B*a**2*b**2/x + 4*B*a*b**3*log(x) + B*b**4*x, Eq(m, -5)), (-A*a**4/(3*x**3) - 2*A*a**3*b/x**2 - 6*A*a**2*b**2/x + 4*A*a*b**3*log(x) + A*b**4*x - B*a**4/(2*x**2) - 4*B*a**3*b/x + 6*B*a**2*b**2*log(x) + 4*B*a*b**3*x + B*b**4*x**2/2, Eq(m, -4)), (-A*a**4/(2*x**2) - 4*A*a**3*b/x + 6*A*a**2*b**2*log(x) + 4*A*a*b**3*x + A*b**4*x**2/2 - B*a**4/x + 4*B*a**3*b*log(x) + 6*B*a**2*b**2*x + 2*B*a*b**3*x**2 + B*b**4*x**3/3, Eq(m, -3)), (-A*a**4/x + 4*A*a**3*b*log(x) + 6*A*a**2*b**2*x + 2*A*a*b**3*x**2 + A*b**4*x**3/3 + B*a**4*log(x) + 4*B*a**3*b*x + 3*B*a**2*b**2*x**2 + 4*B*a*b**3*x**3/3 + B*b**4*x**4/4, Eq(m, -2)), (A*a**4*log(x) + 4*A*a**3*b*x + 3*A*a**2*b**2*x**2 + 4*A*a*b**3*x**3/3 + A*b**4*x**4/4 + B*a**4*x + 2*B*a**3*b*x**2 + 2*B*a**2*b**2*x**3 + B*a*b**3*x**4 + B*b**4*x**5/5, Eq(m, -1)), (A*a**4*m**5*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 20*A*a**4*m**4*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 155*A*a**4*m**3*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 580*A*a**4*m**2*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1044*A*a**4*m*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 720*A*a**4*x*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4*A*a**3*b*m**5*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 76*A*a**3*b*m**4*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 548*A*a**3*b*m**3*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1844*A*a**3*b*m**2*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2808*A*a**3*b*m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1440*A*a**3*b*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 6*A*a**2*b**2*m**5*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 108*A*a**2*b**2*m**4*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 726*A*a**2*b**2*m**3*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2232*A*a**2*b**2*m**2*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 3048*A*a**2*b**2*m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1440*A*a**2*b**2*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4*A*a*b**3*m**5*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 68*A*a*b**3*m**4*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 428*A*a*b**3*m**3*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1228*A*a*b**3*m**2*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1584*A*a*b**3*m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 720*A*a*b**3*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + A*b**4*m**5*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 16*A*b**4*m**4*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 95*A*b**4*m**3*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 260*A*b**4*m**2*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 324*A*b**4*m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 144*A*b**4*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + B*a**4*m**5*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 19*B*a**4*m**4*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 137*B*a**4*m**3*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 461*B*a**4*m**2*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 702*B*a**4*m*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 360*B*a**4*x**2*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4*B*a**3*b*m**5*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 72*B*a**3*b*m**4*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 484*B*a**3*b*m**3*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1488*B*a**3*b*m**2*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2032*B*a**3*b*m*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 960*B*a**3*b*x**3*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 6*B*a**2*b**2*m**5*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 102*B*a**2*b**2*m**4*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 642*B*a**2*b**2*m**3*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1842*B*a**2*b**2*m**2*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 2376*B*a**2*b**2*m*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1080*B*a**2*b**2*x**4*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 4*B*a*b**3*m**5*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 64*B*a*b**3*m**4*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 380*B*a*b**3*m**3*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1040*B*a*b**3*m**2*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 1296*B*a*b**3*m*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 576*B*a*b**3*x**5*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + B*b**4*m**5*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 15*B*b**4*m**4*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 85*B*b**4*m**3*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 225*B*b**4*m**2*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 274*B*b**4*m*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720) + 120*B*b**4*x**6*x**m/(m**6 + 21*m**5 + 175*m**4 + 735*m**3 + 1624*m**2 + 1764*m + 720), True))","A",0
372,1,2018,0,1.511185," ","integrate(x**m*(b*x+a)**3*(B*x+A),x)","\begin{cases} - \frac{A a^{3}}{4 x^{4}} - \frac{A a^{2} b}{x^{3}} - \frac{3 A a b^{2}}{2 x^{2}} - \frac{A b^{3}}{x} - \frac{B a^{3}}{3 x^{3}} - \frac{3 B a^{2} b}{2 x^{2}} - \frac{3 B a b^{2}}{x} + B b^{3} \log{\left(x \right)} & \text{for}\: m = -5 \\- \frac{A a^{3}}{3 x^{3}} - \frac{3 A a^{2} b}{2 x^{2}} - \frac{3 A a b^{2}}{x} + A b^{3} \log{\left(x \right)} - \frac{B a^{3}}{2 x^{2}} - \frac{3 B a^{2} b}{x} + 3 B a b^{2} \log{\left(x \right)} + B b^{3} x & \text{for}\: m = -4 \\- \frac{A a^{3}}{2 x^{2}} - \frac{3 A a^{2} b}{x} + 3 A a b^{2} \log{\left(x \right)} + A b^{3} x - \frac{B a^{3}}{x} + 3 B a^{2} b \log{\left(x \right)} + 3 B a b^{2} x + \frac{B b^{3} x^{2}}{2} & \text{for}\: m = -3 \\- \frac{A a^{3}}{x} + 3 A a^{2} b \log{\left(x \right)} + 3 A a b^{2} x + \frac{A b^{3} x^{2}}{2} + B a^{3} \log{\left(x \right)} + 3 B a^{2} b x + \frac{3 B a b^{2} x^{2}}{2} + \frac{B b^{3} x^{3}}{3} & \text{for}\: m = -2 \\A a^{3} \log{\left(x \right)} + 3 A a^{2} b x + \frac{3 A a b^{2} x^{2}}{2} + \frac{A b^{3} x^{3}}{3} + B a^{3} x + \frac{3 B a^{2} b x^{2}}{2} + B a b^{2} x^{3} + \frac{B b^{3} x^{4}}{4} & \text{for}\: m = -1 \\\frac{A a^{3} m^{4} x x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{14 A a^{3} m^{3} x x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{71 A a^{3} m^{2} x x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{154 A a^{3} m x x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{120 A a^{3} x x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{3 A a^{2} b m^{4} x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{39 A a^{2} b m^{3} x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{177 A a^{2} b m^{2} x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{321 A a^{2} b m x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{180 A a^{2} b x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{3 A a b^{2} m^{4} x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{36 A a b^{2} m^{3} x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{147 A a b^{2} m^{2} x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{234 A a b^{2} m x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{120 A a b^{2} x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{A b^{3} m^{4} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{11 A b^{3} m^{3} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{41 A b^{3} m^{2} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{61 A b^{3} m x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{30 A b^{3} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{B a^{3} m^{4} x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{13 B a^{3} m^{3} x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{59 B a^{3} m^{2} x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{107 B a^{3} m x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{60 B a^{3} x^{2} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{3 B a^{2} b m^{4} x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{36 B a^{2} b m^{3} x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{147 B a^{2} b m^{2} x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{234 B a^{2} b m x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{120 B a^{2} b x^{3} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{3 B a b^{2} m^{4} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{33 B a b^{2} m^{3} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{123 B a b^{2} m^{2} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{183 B a b^{2} m x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{90 B a b^{2} x^{4} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{B b^{3} m^{4} x^{5} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{10 B b^{3} m^{3} x^{5} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{35 B b^{3} m^{2} x^{5} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{50 B b^{3} m x^{5} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{24 B b^{3} x^{5} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*a**3/(4*x**4) - A*a**2*b/x**3 - 3*A*a*b**2/(2*x**2) - A*b**3/x - B*a**3/(3*x**3) - 3*B*a**2*b/(2*x**2) - 3*B*a*b**2/x + B*b**3*log(x), Eq(m, -5)), (-A*a**3/(3*x**3) - 3*A*a**2*b/(2*x**2) - 3*A*a*b**2/x + A*b**3*log(x) - B*a**3/(2*x**2) - 3*B*a**2*b/x + 3*B*a*b**2*log(x) + B*b**3*x, Eq(m, -4)), (-A*a**3/(2*x**2) - 3*A*a**2*b/x + 3*A*a*b**2*log(x) + A*b**3*x - B*a**3/x + 3*B*a**2*b*log(x) + 3*B*a*b**2*x + B*b**3*x**2/2, Eq(m, -3)), (-A*a**3/x + 3*A*a**2*b*log(x) + 3*A*a*b**2*x + A*b**3*x**2/2 + B*a**3*log(x) + 3*B*a**2*b*x + 3*B*a*b**2*x**2/2 + B*b**3*x**3/3, Eq(m, -2)), (A*a**3*log(x) + 3*A*a**2*b*x + 3*A*a*b**2*x**2/2 + A*b**3*x**3/3 + B*a**3*x + 3*B*a**2*b*x**2/2 + B*a*b**2*x**3 + B*b**3*x**4/4, Eq(m, -1)), (A*a**3*m**4*x*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 14*A*a**3*m**3*x*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 71*A*a**3*m**2*x*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 154*A*a**3*m*x*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 120*A*a**3*x*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 3*A*a**2*b*m**4*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 39*A*a**2*b*m**3*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 177*A*a**2*b*m**2*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 321*A*a**2*b*m*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 180*A*a**2*b*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 3*A*a*b**2*m**4*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 36*A*a*b**2*m**3*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 147*A*a*b**2*m**2*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 234*A*a*b**2*m*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 120*A*a*b**2*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + A*b**3*m**4*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 11*A*b**3*m**3*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 41*A*b**3*m**2*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 61*A*b**3*m*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 30*A*b**3*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + B*a**3*m**4*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 13*B*a**3*m**3*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 59*B*a**3*m**2*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 107*B*a**3*m*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 60*B*a**3*x**2*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 3*B*a**2*b*m**4*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 36*B*a**2*b*m**3*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 147*B*a**2*b*m**2*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 234*B*a**2*b*m*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 120*B*a**2*b*x**3*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 3*B*a*b**2*m**4*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 33*B*a*b**2*m**3*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 123*B*a*b**2*m**2*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 183*B*a*b**2*m*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 90*B*a*b**2*x**4*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + B*b**3*m**4*x**5*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 10*B*b**3*m**3*x**5*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 35*B*b**3*m**2*x**5*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 50*B*b**3*m*x**5*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 24*B*b**3*x**5*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120), True))","A",0
373,1,1020,0,1.018597," ","integrate(x**m*(b*x+a)**2*(B*x+A),x)","\begin{cases} - \frac{A a^{2}}{3 x^{3}} - \frac{A a b}{x^{2}} - \frac{A b^{2}}{x} - \frac{B a^{2}}{2 x^{2}} - \frac{2 B a b}{x} + B b^{2} \log{\left(x \right)} & \text{for}\: m = -4 \\- \frac{A a^{2}}{2 x^{2}} - \frac{2 A a b}{x} + A b^{2} \log{\left(x \right)} - \frac{B a^{2}}{x} + 2 B a b \log{\left(x \right)} + B b^{2} x & \text{for}\: m = -3 \\- \frac{A a^{2}}{x} + 2 A a b \log{\left(x \right)} + A b^{2} x + B a^{2} \log{\left(x \right)} + 2 B a b x + \frac{B b^{2} x^{2}}{2} & \text{for}\: m = -2 \\A a^{2} \log{\left(x \right)} + 2 A a b x + \frac{A b^{2} x^{2}}{2} + B a^{2} x + B a b x^{2} + \frac{B b^{2} x^{3}}{3} & \text{for}\: m = -1 \\\frac{A a^{2} m^{3} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{9 A a^{2} m^{2} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{26 A a^{2} m x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{24 A a^{2} x x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{2 A a b m^{3} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{16 A a b m^{2} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{38 A a b m x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{24 A a b x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{A b^{2} m^{3} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{7 A b^{2} m^{2} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{14 A b^{2} m x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{8 A b^{2} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{B a^{2} m^{3} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{8 B a^{2} m^{2} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{19 B a^{2} m x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{12 B a^{2} x^{2} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{2 B a b m^{3} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{14 B a b m^{2} x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{28 B a b m x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{16 B a b x^{3} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{B b^{2} m^{3} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{6 B b^{2} m^{2} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{11 B b^{2} m x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{6 B b^{2} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*a**2/(3*x**3) - A*a*b/x**2 - A*b**2/x - B*a**2/(2*x**2) - 2*B*a*b/x + B*b**2*log(x), Eq(m, -4)), (-A*a**2/(2*x**2) - 2*A*a*b/x + A*b**2*log(x) - B*a**2/x + 2*B*a*b*log(x) + B*b**2*x, Eq(m, -3)), (-A*a**2/x + 2*A*a*b*log(x) + A*b**2*x + B*a**2*log(x) + 2*B*a*b*x + B*b**2*x**2/2, Eq(m, -2)), (A*a**2*log(x) + 2*A*a*b*x + A*b**2*x**2/2 + B*a**2*x + B*a*b*x**2 + B*b**2*x**3/3, Eq(m, -1)), (A*a**2*m**3*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 9*A*a**2*m**2*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 26*A*a**2*m*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*A*a**2*x*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 2*A*a*b*m**3*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 16*A*a*b*m**2*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 38*A*a*b*m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*A*a*b*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + A*b**2*m**3*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 7*A*b**2*m**2*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 14*A*b**2*m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 8*A*b**2*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + B*a**2*m**3*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 8*B*a**2*m**2*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 19*B*a**2*m*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 12*B*a**2*x**2*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 2*B*a*b*m**3*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 14*B*a*b*m**2*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 28*B*a*b*m*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 16*B*a*b*x**3*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + B*b**2*m**3*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 6*B*b**2*m**2*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 11*B*b**2*m*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 6*B*b**2*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24), True))","A",0
374,1,389,0,0.594171," ","integrate(x**m*(b*x+a)*(B*x+A),x)","\begin{cases} - \frac{A a}{2 x^{2}} - \frac{A b}{x} - \frac{B a}{x} + B b \log{\left(x \right)} & \text{for}\: m = -3 \\- \frac{A a}{x} + A b \log{\left(x \right)} + B a \log{\left(x \right)} + B b x & \text{for}\: m = -2 \\A a \log{\left(x \right)} + A b x + B a x + \frac{B b x^{2}}{2} & \text{for}\: m = -1 \\\frac{A a m^{2} x x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{5 A a m x x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{6 A a x x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{A b m^{2} x^{2} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{4 A b m x^{2} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{3 A b x^{2} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{B a m^{2} x^{2} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{4 B a m x^{2} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{3 B a x^{2} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{B b m^{2} x^{3} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{3 B b m x^{3} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{2 B b x^{3} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*a/(2*x**2) - A*b/x - B*a/x + B*b*log(x), Eq(m, -3)), (-A*a/x + A*b*log(x) + B*a*log(x) + B*b*x, Eq(m, -2)), (A*a*log(x) + A*b*x + B*a*x + B*b*x**2/2, Eq(m, -1)), (A*a*m**2*x*x**m/(m**3 + 6*m**2 + 11*m + 6) + 5*A*a*m*x*x**m/(m**3 + 6*m**2 + 11*m + 6) + 6*A*a*x*x**m/(m**3 + 6*m**2 + 11*m + 6) + A*b*m**2*x**2*x**m/(m**3 + 6*m**2 + 11*m + 6) + 4*A*b*m*x**2*x**m/(m**3 + 6*m**2 + 11*m + 6) + 3*A*b*x**2*x**m/(m**3 + 6*m**2 + 11*m + 6) + B*a*m**2*x**2*x**m/(m**3 + 6*m**2 + 11*m + 6) + 4*B*a*m*x**2*x**m/(m**3 + 6*m**2 + 11*m + 6) + 3*B*a*x**2*x**m/(m**3 + 6*m**2 + 11*m + 6) + B*b*m**2*x**3*x**m/(m**3 + 6*m**2 + 11*m + 6) + 3*B*b*m*x**3*x**m/(m**3 + 6*m**2 + 11*m + 6) + 2*B*b*x**3*x**m/(m**3 + 6*m**2 + 11*m + 6), True))","A",0
375,1,136,0,3.374263," ","integrate(x**m*(B*x+A)/(b*x+a),x)","\frac{A m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{A x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{B m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)} + \frac{2 B x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)}"," ",0,"A*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + A*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + B*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3)) + 2*B*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3))","C",0
376,1,639,0,5.761607," ","integrate(x**m*(B*x+A)/(b*x+a)**2,x)","A \left(- \frac{a m^{2} x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a^{3} \Gamma\left(m + 2\right) + a^{2} b x \Gamma\left(m + 2\right)} - \frac{a m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a^{3} \Gamma\left(m + 2\right) + a^{2} b x \Gamma\left(m + 2\right)} + \frac{a m x x^{m} \Gamma\left(m + 1\right)}{a^{3} \Gamma\left(m + 2\right) + a^{2} b x \Gamma\left(m + 2\right)} + \frac{a x x^{m} \Gamma\left(m + 1\right)}{a^{3} \Gamma\left(m + 2\right) + a^{2} b x \Gamma\left(m + 2\right)} - \frac{b m^{2} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a^{3} \Gamma\left(m + 2\right) + a^{2} b x \Gamma\left(m + 2\right)} - \frac{b m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a^{3} \Gamma\left(m + 2\right) + a^{2} b x \Gamma\left(m + 2\right)}\right) + B \left(- \frac{a m^{2} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)} - \frac{3 a m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)} + \frac{a m x^{2} x^{m} \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)} - \frac{2 a x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)} + \frac{2 a x^{2} x^{m} \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)} - \frac{b m^{2} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)} - \frac{3 b m x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)} - \frac{2 b x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a^{3} \Gamma\left(m + 3\right) + a^{2} b x \Gamma\left(m + 3\right)}\right)"," ",0,"A*(-a*m**2*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a**3*gamma(m + 2) + a**2*b*x*gamma(m + 2)) - a*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a**3*gamma(m + 2) + a**2*b*x*gamma(m + 2)) + a*m*x*x**m*gamma(m + 1)/(a**3*gamma(m + 2) + a**2*b*x*gamma(m + 2)) + a*x*x**m*gamma(m + 1)/(a**3*gamma(m + 2) + a**2*b*x*gamma(m + 2)) - b*m**2*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a**3*gamma(m + 2) + a**2*b*x*gamma(m + 2)) - b*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a**3*gamma(m + 2) + a**2*b*x*gamma(m + 2))) + B*(-a*m**2*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)) - 3*a*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)) + a*m*x**2*x**m*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)) - 2*a*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)) + 2*a*x**2*x**m*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)) - b*m**2*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)) - 3*b*m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)) - 2*b*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a**3*gamma(m + 3) + a**2*b*x*gamma(m + 3)))","C",0
377,1,1680,0,8.541554," ","integrate(x**m*(B*x+A)/(b*x+a)**3,x)","A \left(\frac{a^{2} m^{3} x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} - \frac{a^{2} m^{2} x x^{m} \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} - \frac{a^{2} m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} + \frac{a^{2} m x x^{m} \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} + \frac{2 a^{2} x x^{m} \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} + \frac{2 a b m^{3} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} - \frac{a b m^{2} x^{2} x^{m} \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} - \frac{2 a b m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} + \frac{a b x^{2} x^{m} \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} + \frac{b^{2} m^{3} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)} - \frac{b^{2} m x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{2 a^{5} \Gamma\left(m + 2\right) + 4 a^{4} b x \Gamma\left(m + 2\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 2\right)}\right) + B \left(\frac{a^{2} m^{3} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{3 a^{2} m^{2} x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} - \frac{a^{2} m^{2} x^{2} x^{m} \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{2 a^{2} m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} - \frac{a^{2} m x^{2} x^{m} \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{2 a^{2} x^{2} x^{m} \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{2 a b m^{3} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{6 a b m^{2} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} - \frac{a b m^{2} x^{3} x^{m} \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{4 a b m x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} - \frac{2 a b m x^{3} x^{m} \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{b^{2} m^{3} x^{4} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{3 b^{2} m^{2} x^{4} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)} + \frac{2 b^{2} m x^{4} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{2 a^{5} \Gamma\left(m + 3\right) + 4 a^{4} b x \Gamma\left(m + 3\right) + 2 a^{3} b^{2} x^{2} \Gamma\left(m + 3\right)}\right)"," ",0,"A*(a**2*m**3*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) - a**2*m**2*x*x**m*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) - a**2*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) + a**2*m*x*x**m*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) + 2*a**2*x*x**m*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) + 2*a*b*m**3*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) - a*b*m**2*x**2*x**m*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) - 2*a*b*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) + a*b*x**2*x**m*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) + b**2*m**3*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2)) - b**2*m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(2*a**5*gamma(m + 2) + 4*a**4*b*x*gamma(m + 2) + 2*a**3*b**2*x**2*gamma(m + 2))) + B*(a**2*m**3*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 3*a**2*m**2*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) - a**2*m**2*x**2*x**m*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 2*a**2*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) - a**2*m*x**2*x**m*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 2*a**2*x**2*x**m*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 2*a*b*m**3*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 6*a*b*m**2*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) - a*b*m**2*x**3*x**m*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 4*a*b*m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) - 2*a*b*m*x**3*x**m*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + b**2*m**3*x**4*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 3*b**2*m**2*x**4*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)) + 2*b**2*m*x**4*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(2*a**5*gamma(m + 3) + 4*a**4*b*x*gamma(m + 3) + 2*a**3*b**2*x**2*gamma(m + 3)))","C",0
378,1,10401,0,5.089852," ","integrate(x**m*(b*x+a)**2*(d*x+c)**5,x)","\begin{cases} - \frac{a^{2} c^{5}}{7 x^{7}} - \frac{5 a^{2} c^{4} d}{6 x^{6}} - \frac{2 a^{2} c^{3} d^{2}}{x^{5}} - \frac{5 a^{2} c^{2} d^{3}}{2 x^{4}} - \frac{5 a^{2} c d^{4}}{3 x^{3}} - \frac{a^{2} d^{5}}{2 x^{2}} - \frac{a b c^{5}}{3 x^{6}} - \frac{2 a b c^{4} d}{x^{5}} - \frac{5 a b c^{3} d^{2}}{x^{4}} - \frac{20 a b c^{2} d^{3}}{3 x^{3}} - \frac{5 a b c d^{4}}{x^{2}} - \frac{2 a b d^{5}}{x} - \frac{b^{2} c^{5}}{5 x^{5}} - \frac{5 b^{2} c^{4} d}{4 x^{4}} - \frac{10 b^{2} c^{3} d^{2}}{3 x^{3}} - \frac{5 b^{2} c^{2} d^{3}}{x^{2}} - \frac{5 b^{2} c d^{4}}{x} + b^{2} d^{5} \log{\left(x \right)} & \text{for}\: m = -8 \\- \frac{a^{2} c^{5}}{6 x^{6}} - \frac{a^{2} c^{4} d}{x^{5}} - \frac{5 a^{2} c^{3} d^{2}}{2 x^{4}} - \frac{10 a^{2} c^{2} d^{3}}{3 x^{3}} - \frac{5 a^{2} c d^{4}}{2 x^{2}} - \frac{a^{2} d^{5}}{x} - \frac{2 a b c^{5}}{5 x^{5}} - \frac{5 a b c^{4} d}{2 x^{4}} - \frac{20 a b c^{3} d^{2}}{3 x^{3}} - \frac{10 a b c^{2} d^{3}}{x^{2}} - \frac{10 a b c d^{4}}{x} + 2 a b d^{5} \log{\left(x \right)} - \frac{b^{2} c^{5}}{4 x^{4}} - \frac{5 b^{2} c^{4} d}{3 x^{3}} - \frac{5 b^{2} c^{3} d^{2}}{x^{2}} - \frac{10 b^{2} c^{2} d^{3}}{x} + 5 b^{2} c d^{4} \log{\left(x \right)} + b^{2} d^{5} x & \text{for}\: m = -7 \\- \frac{a^{2} c^{5}}{5 x^{5}} - \frac{5 a^{2} c^{4} d}{4 x^{4}} - \frac{10 a^{2} c^{3} d^{2}}{3 x^{3}} - \frac{5 a^{2} c^{2} d^{3}}{x^{2}} - \frac{5 a^{2} c d^{4}}{x} + a^{2} d^{5} \log{\left(x \right)} - \frac{a b c^{5}}{2 x^{4}} - \frac{10 a b c^{4} d}{3 x^{3}} - \frac{10 a b c^{3} d^{2}}{x^{2}} - \frac{20 a b c^{2} d^{3}}{x} + 10 a b c d^{4} \log{\left(x \right)} + 2 a b d^{5} x - \frac{b^{2} c^{5}}{3 x^{3}} - \frac{5 b^{2} c^{4} d}{2 x^{2}} - \frac{10 b^{2} c^{3} d^{2}}{x} + 10 b^{2} c^{2} d^{3} \log{\left(x \right)} + 5 b^{2} c d^{4} x + \frac{b^{2} d^{5} x^{2}}{2} & \text{for}\: m = -6 \\- \frac{a^{2} c^{5}}{4 x^{4}} - \frac{5 a^{2} c^{4} d}{3 x^{3}} - \frac{5 a^{2} c^{3} d^{2}}{x^{2}} - \frac{10 a^{2} c^{2} d^{3}}{x} + 5 a^{2} c d^{4} \log{\left(x \right)} + a^{2} d^{5} x - \frac{2 a b c^{5}}{3 x^{3}} - \frac{5 a b c^{4} d}{x^{2}} - \frac{20 a b c^{3} d^{2}}{x} + 20 a b c^{2} d^{3} \log{\left(x \right)} + 10 a b c d^{4} x + a b d^{5} x^{2} - \frac{b^{2} c^{5}}{2 x^{2}} - \frac{5 b^{2} c^{4} d}{x} + 10 b^{2} c^{3} d^{2} \log{\left(x \right)} + 10 b^{2} c^{2} d^{3} x + \frac{5 b^{2} c d^{4} x^{2}}{2} + \frac{b^{2} d^{5} x^{3}}{3} & \text{for}\: m = -5 \\- \frac{a^{2} c^{5}}{3 x^{3}} - \frac{5 a^{2} c^{4} d}{2 x^{2}} - \frac{10 a^{2} c^{3} d^{2}}{x} + 10 a^{2} c^{2} d^{3} \log{\left(x \right)} + 5 a^{2} c d^{4} x + \frac{a^{2} d^{5} x^{2}}{2} - \frac{a b c^{5}}{x^{2}} - \frac{10 a b c^{4} d}{x} + 20 a b c^{3} d^{2} \log{\left(x \right)} + 20 a b c^{2} d^{3} x + 5 a b c d^{4} x^{2} + \frac{2 a b d^{5} x^{3}}{3} - \frac{b^{2} c^{5}}{x} + 5 b^{2} c^{4} d \log{\left(x \right)} + 10 b^{2} c^{3} d^{2} x + 5 b^{2} c^{2} d^{3} x^{2} + \frac{5 b^{2} c d^{4} x^{3}}{3} + \frac{b^{2} d^{5} x^{4}}{4} & \text{for}\: m = -4 \\- \frac{a^{2} c^{5}}{2 x^{2}} - \frac{5 a^{2} c^{4} d}{x} + 10 a^{2} c^{3} d^{2} \log{\left(x \right)} + 10 a^{2} c^{2} d^{3} x + \frac{5 a^{2} c d^{4} x^{2}}{2} + \frac{a^{2} d^{5} x^{3}}{3} - \frac{2 a b c^{5}}{x} + 10 a b c^{4} d \log{\left(x \right)} + 20 a b c^{3} d^{2} x + 10 a b c^{2} d^{3} x^{2} + \frac{10 a b c d^{4} x^{3}}{3} + \frac{a b d^{5} x^{4}}{2} + b^{2} c^{5} \log{\left(x \right)} + 5 b^{2} c^{4} d x + 5 b^{2} c^{3} d^{2} x^{2} + \frac{10 b^{2} c^{2} d^{3} x^{3}}{3} + \frac{5 b^{2} c d^{4} x^{4}}{4} + \frac{b^{2} d^{5} x^{5}}{5} & \text{for}\: m = -3 \\- \frac{a^{2} c^{5}}{x} + 5 a^{2} c^{4} d \log{\left(x \right)} + 10 a^{2} c^{3} d^{2} x + 5 a^{2} c^{2} d^{3} x^{2} + \frac{5 a^{2} c d^{4} x^{3}}{3} + \frac{a^{2} d^{5} x^{4}}{4} + 2 a b c^{5} \log{\left(x \right)} + 10 a b c^{4} d x + 10 a b c^{3} d^{2} x^{2} + \frac{20 a b c^{2} d^{3} x^{3}}{3} + \frac{5 a b c d^{4} x^{4}}{2} + \frac{2 a b d^{5} x^{5}}{5} + b^{2} c^{5} x + \frac{5 b^{2} c^{4} d x^{2}}{2} + \frac{10 b^{2} c^{3} d^{2} x^{3}}{3} + \frac{5 b^{2} c^{2} d^{3} x^{4}}{2} + b^{2} c d^{4} x^{5} + \frac{b^{2} d^{5} x^{6}}{6} & \text{for}\: m = -2 \\a^{2} c^{5} \log{\left(x \right)} + 5 a^{2} c^{4} d x + 5 a^{2} c^{3} d^{2} x^{2} + \frac{10 a^{2} c^{2} d^{3} x^{3}}{3} + \frac{5 a^{2} c d^{4} x^{4}}{4} + \frac{a^{2} d^{5} x^{5}}{5} + 2 a b c^{5} x + 5 a b c^{4} d x^{2} + \frac{20 a b c^{3} d^{2} x^{3}}{3} + 5 a b c^{2} d^{3} x^{4} + 2 a b c d^{4} x^{5} + \frac{a b d^{5} x^{6}}{3} + \frac{b^{2} c^{5} x^{2}}{2} + \frac{5 b^{2} c^{4} d x^{3}}{3} + \frac{5 b^{2} c^{3} d^{2} x^{4}}{2} + 2 b^{2} c^{2} d^{3} x^{5} + \frac{5 b^{2} c d^{4} x^{6}}{6} + \frac{b^{2} d^{5} x^{7}}{7} & \text{for}\: m = -1 \\\frac{a^{2} c^{5} m^{7} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{35 a^{2} c^{5} m^{6} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{511 a^{2} c^{5} m^{5} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{4025 a^{2} c^{5} m^{4} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{18424 a^{2} c^{5} m^{3} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{48860 a^{2} c^{5} m^{2} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{69264 a^{2} c^{5} m x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{40320 a^{2} c^{5} x x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{5 a^{2} c^{4} d m^{7} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{170 a^{2} c^{4} d m^{6} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{2390 a^{2} c^{4} d m^{5} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{17900 a^{2} c^{4} d m^{4} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{76445 a^{2} c^{4} d m^{3} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{183530 a^{2} c^{4} d m^{2} x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{223560 a^{2} c^{4} d m x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{100800 a^{2} c^{4} d x^{2} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{10 a^{2} c^{3} d^{2} m^{7} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{330 a^{2} c^{3} d^{2} m^{6} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{4470 a^{2} c^{3} d^{2} m^{5} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{31950 a^{2} c^{3} d^{2} m^{4} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{128640 a^{2} c^{3} d^{2} m^{3} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{286920 a^{2} c^{3} d^{2} m^{2} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{320480 a^{2} c^{3} d^{2} m x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{134400 a^{2} c^{3} d^{2} x^{3} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{10 a^{2} c^{2} d^{3} m^{7} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{320 a^{2} c^{2} d^{3} m^{6} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{4180 a^{2} c^{2} d^{3} m^{5} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{28640 a^{2} c^{2} d^{3} m^{4} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{109930 a^{2} c^{2} d^{3} m^{3} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{233120 a^{2} c^{2} d^{3} m^{2} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{248760 a^{2} c^{2} d^{3} m x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{100800 a^{2} c^{2} d^{3} x^{4} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{5 a^{2} c d^{4} m^{7} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{155 a^{2} c d^{4} m^{6} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{1955 a^{2} c d^{4} m^{5} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{12905 a^{2} c d^{4} m^{4} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{47720 a^{2} c d^{4} m^{3} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{97820 a^{2} c d^{4} m^{2} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{101520 a^{2} c d^{4} m x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{40320 a^{2} c d^{4} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{a^{2} d^{5} m^{7} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{30 a^{2} d^{5} m^{6} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 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b^{2} c^{3} d^{2} m^{4} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{95440 b^{2} c^{3} d^{2} m^{3} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{195640 b^{2} c^{3} d^{2} m^{2} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{203040 b^{2} c^{3} d^{2} m x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{80640 b^{2} c^{3} d^{2} x^{5} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{10 b^{2} c^{2} d^{3} m^{7} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{300 b^{2} c^{2} d^{3} m^{6} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{3660 b^{2} c^{2} d^{3} m^{5} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{23400 b^{2} c^{2} d^{3} m^{4} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{84090 b^{2} c^{2} d^{3} m^{3} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{168300 b^{2} c^{2} d^{3} m^{2} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{171440 b^{2} c^{2} d^{3} m x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{67200 b^{2} c^{2} d^{3} x^{6} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{5 b^{2} c d^{4} m^{7} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{145 b^{2} c d^{4} m^{6} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{1715 b^{2} c d^{4} m^{5} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{10675 b^{2} c d^{4} m^{4} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{37520 b^{2} c d^{4} m^{3} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{73780 b^{2} c d^{4} m^{2} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{74160 b^{2} c d^{4} m x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{28800 b^{2} c d^{4} x^{7} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{b^{2} d^{5} m^{7} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{28 b^{2} d^{5} m^{6} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{322 b^{2} d^{5} m^{5} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{1960 b^{2} d^{5} m^{4} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{6769 b^{2} d^{5} m^{3} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{13132 b^{2} d^{5} m^{2} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{13068 b^{2} d^{5} m x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} + \frac{5040 b^{2} d^{5} x^{8} x^{m}}{m^{8} + 36 m^{7} + 546 m^{6} + 4536 m^{5} + 22449 m^{4} + 67284 m^{3} + 118124 m^{2} + 109584 m + 40320} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**5/(7*x**7) - 5*a**2*c**4*d/(6*x**6) - 2*a**2*c**3*d**2/x**5 - 5*a**2*c**2*d**3/(2*x**4) - 5*a**2*c*d**4/(3*x**3) - a**2*d**5/(2*x**2) - a*b*c**5/(3*x**6) - 2*a*b*c**4*d/x**5 - 5*a*b*c**3*d**2/x**4 - 20*a*b*c**2*d**3/(3*x**3) - 5*a*b*c*d**4/x**2 - 2*a*b*d**5/x - b**2*c**5/(5*x**5) - 5*b**2*c**4*d/(4*x**4) - 10*b**2*c**3*d**2/(3*x**3) - 5*b**2*c**2*d**3/x**2 - 5*b**2*c*d**4/x + b**2*d**5*log(x), Eq(m, -8)), (-a**2*c**5/(6*x**6) - a**2*c**4*d/x**5 - 5*a**2*c**3*d**2/(2*x**4) - 10*a**2*c**2*d**3/(3*x**3) - 5*a**2*c*d**4/(2*x**2) - a**2*d**5/x - 2*a*b*c**5/(5*x**5) - 5*a*b*c**4*d/(2*x**4) - 20*a*b*c**3*d**2/(3*x**3) - 10*a*b*c**2*d**3/x**2 - 10*a*b*c*d**4/x + 2*a*b*d**5*log(x) - b**2*c**5/(4*x**4) - 5*b**2*c**4*d/(3*x**3) - 5*b**2*c**3*d**2/x**2 - 10*b**2*c**2*d**3/x + 5*b**2*c*d**4*log(x) + b**2*d**5*x, Eq(m, -7)), (-a**2*c**5/(5*x**5) - 5*a**2*c**4*d/(4*x**4) - 10*a**2*c**3*d**2/(3*x**3) - 5*a**2*c**2*d**3/x**2 - 5*a**2*c*d**4/x + a**2*d**5*log(x) - a*b*c**5/(2*x**4) - 10*a*b*c**4*d/(3*x**3) - 10*a*b*c**3*d**2/x**2 - 20*a*b*c**2*d**3/x + 10*a*b*c*d**4*log(x) + 2*a*b*d**5*x - b**2*c**5/(3*x**3) - 5*b**2*c**4*d/(2*x**2) - 10*b**2*c**3*d**2/x + 10*b**2*c**2*d**3*log(x) + 5*b**2*c*d**4*x + b**2*d**5*x**2/2, Eq(m, -6)), (-a**2*c**5/(4*x**4) - 5*a**2*c**4*d/(3*x**3) - 5*a**2*c**3*d**2/x**2 - 10*a**2*c**2*d**3/x + 5*a**2*c*d**4*log(x) + a**2*d**5*x - 2*a*b*c**5/(3*x**3) - 5*a*b*c**4*d/x**2 - 20*a*b*c**3*d**2/x + 20*a*b*c**2*d**3*log(x) + 10*a*b*c*d**4*x + a*b*d**5*x**2 - b**2*c**5/(2*x**2) - 5*b**2*c**4*d/x + 10*b**2*c**3*d**2*log(x) + 10*b**2*c**2*d**3*x + 5*b**2*c*d**4*x**2/2 + b**2*d**5*x**3/3, Eq(m, -5)), (-a**2*c**5/(3*x**3) - 5*a**2*c**4*d/(2*x**2) - 10*a**2*c**3*d**2/x + 10*a**2*c**2*d**3*log(x) + 5*a**2*c*d**4*x + a**2*d**5*x**2/2 - a*b*c**5/x**2 - 10*a*b*c**4*d/x + 20*a*b*c**3*d**2*log(x) + 20*a*b*c**2*d**3*x + 5*a*b*c*d**4*x**2 + 2*a*b*d**5*x**3/3 - b**2*c**5/x + 5*b**2*c**4*d*log(x) + 10*b**2*c**3*d**2*x + 5*b**2*c**2*d**3*x**2 + 5*b**2*c*d**4*x**3/3 + b**2*d**5*x**4/4, Eq(m, -4)), (-a**2*c**5/(2*x**2) - 5*a**2*c**4*d/x + 10*a**2*c**3*d**2*log(x) + 10*a**2*c**2*d**3*x + 5*a**2*c*d**4*x**2/2 + a**2*d**5*x**3/3 - 2*a*b*c**5/x + 10*a*b*c**4*d*log(x) + 20*a*b*c**3*d**2*x + 10*a*b*c**2*d**3*x**2 + 10*a*b*c*d**4*x**3/3 + a*b*d**5*x**4/2 + b**2*c**5*log(x) + 5*b**2*c**4*d*x + 5*b**2*c**3*d**2*x**2 + 10*b**2*c**2*d**3*x**3/3 + 5*b**2*c*d**4*x**4/4 + b**2*d**5*x**5/5, Eq(m, -3)), (-a**2*c**5/x + 5*a**2*c**4*d*log(x) + 10*a**2*c**3*d**2*x + 5*a**2*c**2*d**3*x**2 + 5*a**2*c*d**4*x**3/3 + a**2*d**5*x**4/4 + 2*a*b*c**5*log(x) + 10*a*b*c**4*d*x + 10*a*b*c**3*d**2*x**2 + 20*a*b*c**2*d**3*x**3/3 + 5*a*b*c*d**4*x**4/2 + 2*a*b*d**5*x**5/5 + b**2*c**5*x + 5*b**2*c**4*d*x**2/2 + 10*b**2*c**3*d**2*x**3/3 + 5*b**2*c**2*d**3*x**4/2 + b**2*c*d**4*x**5 + b**2*d**5*x**6/6, Eq(m, -2)), (a**2*c**5*log(x) + 5*a**2*c**4*d*x + 5*a**2*c**3*d**2*x**2 + 10*a**2*c**2*d**3*x**3/3 + 5*a**2*c*d**4*x**4/4 + a**2*d**5*x**5/5 + 2*a*b*c**5*x + 5*a*b*c**4*d*x**2 + 20*a*b*c**3*d**2*x**3/3 + 5*a*b*c**2*d**3*x**4 + 2*a*b*c*d**4*x**5 + a*b*d**5*x**6/3 + b**2*c**5*x**2/2 + 5*b**2*c**4*d*x**3/3 + 5*b**2*c**3*d**2*x**4/2 + 2*b**2*c**2*d**3*x**5 + 5*b**2*c*d**4*x**6/6 + b**2*d**5*x**7/7, Eq(m, -1)), (a**2*c**5*m**7*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 35*a**2*c**5*m**6*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 511*a**2*c**5*m**5*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 4025*a**2*c**5*m**4*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 18424*a**2*c**5*m**3*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 48860*a**2*c**5*m**2*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 69264*a**2*c**5*m*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 40320*a**2*c**5*x*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 5*a**2*c**4*d*m**7*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 170*a**2*c**4*d*m**6*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 2390*a**2*c**4*d*m**5*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 17900*a**2*c**4*d*m**4*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 76445*a**2*c**4*d*m**3*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 183530*a**2*c**4*d*m**2*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 223560*a**2*c**4*d*m*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 100800*a**2*c**4*d*x**2*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 10*a**2*c**3*d**2*m**7*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 330*a**2*c**3*d**2*m**6*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 4470*a**2*c**3*d**2*m**5*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 31950*a**2*c**3*d**2*m**4*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 128640*a**2*c**3*d**2*m**3*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 286920*a**2*c**3*d**2*m**2*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 320480*a**2*c**3*d**2*m*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 134400*a**2*c**3*d**2*x**3*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 10*a**2*c**2*d**3*m**7*x**4*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 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23400*b**2*c**2*d**3*m**4*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 84090*b**2*c**2*d**3*m**3*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 168300*b**2*c**2*d**3*m**2*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 171440*b**2*c**2*d**3*m*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 67200*b**2*c**2*d**3*x**6*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 5*b**2*c*d**4*m**7*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 145*b**2*c*d**4*m**6*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 1715*b**2*c*d**4*m**5*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 10675*b**2*c*d**4*m**4*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 37520*b**2*c*d**4*m**3*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 73780*b**2*c*d**4*m**2*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 74160*b**2*c*d**4*m*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 28800*b**2*c*d**4*x**7*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + b**2*d**5*m**7*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 28*b**2*d**5*m**6*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 322*b**2*d**5*m**5*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 1960*b**2*d**5*m**4*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 6769*b**2*d**5*m**3*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 13132*b**2*d**5*m**2*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 13068*b**2*d**5*m*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320) + 5040*b**2*d**5*x**8*x**m/(m**8 + 36*m**7 + 546*m**6 + 4536*m**5 + 22449*m**4 + 67284*m**3 + 118124*m**2 + 109584*m + 40320), True))","A",0
379,1,303,0,5.243689," ","integrate(x**m*(d*x+c)**3/(b*x+a),x)","\frac{c^{3} m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{c^{3} x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{3 c^{2} d m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)} + \frac{6 c^{2} d x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)} + \frac{3 c d^{2} m x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{a \Gamma\left(m + 4\right)} + \frac{9 c d^{2} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{a \Gamma\left(m + 4\right)} + \frac{d^{3} m x^{4} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 4\right) \Gamma\left(m + 4\right)}{a \Gamma\left(m + 5\right)} + \frac{4 d^{3} x^{4} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 4\right) \Gamma\left(m + 4\right)}{a \Gamma\left(m + 5\right)}"," ",0,"c**3*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + c**3*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + 3*c**2*d*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3)) + 6*c**2*d*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3)) + 3*c*d**2*m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/(a*gamma(m + 4)) + 9*c*d**2*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/(a*gamma(m + 4)) + d**3*m*x**4*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 4)*gamma(m + 4)/(a*gamma(m + 5)) + 4*d**3*x**4*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 4)*gamma(m + 4)/(a*gamma(m + 5))","C",0
380,1,219,0,4.203562," ","integrate(x**m*(d*x+c)**2/(b*x+a),x)","\frac{c^{2} m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{c^{2} x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{2 c d m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)} + \frac{4 c d x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)} + \frac{d^{2} m x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{a \Gamma\left(m + 4\right)} + \frac{3 d^{2} x^{3} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 3\right) \Gamma\left(m + 3\right)}{a \Gamma\left(m + 4\right)}"," ",0,"c**2*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + c**2*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + 2*c*d*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3)) + 4*c*d*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3)) + d**2*m*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/(a*gamma(m + 4)) + 3*d**2*x**3*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 3)*gamma(m + 3)/(a*gamma(m + 4))","C",0
381,1,136,0,3.369404," ","integrate(x**m*(d*x+c)/(b*x+a),x)","\frac{c m x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{c x x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 1\right) \Gamma\left(m + 1\right)}{a \Gamma\left(m + 2\right)} + \frac{d m x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)} + \frac{2 d x^{2} x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m + 2\right) \Gamma\left(m + 2\right)}{a \Gamma\left(m + 3\right)}"," ",0,"c*m*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + c*x*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 1)*gamma(m + 1)/(a*gamma(m + 2)) + d*m*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3)) + 2*d*x**2*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m + 2)*gamma(m + 2)/(a*gamma(m + 3))","C",0
382,1,102,0,1.898137," ","integrate(x**m/(b*x+a)/(d*x+c),x)","- \frac{b^{m} m x^{m} \Phi\left(\frac{b x e^{i \pi}}{a}, 1, m\right) \Gamma\left(- m\right)}{a b^{m} d \Gamma\left(1 - m\right) - b b^{m} c \Gamma\left(1 - m\right)} + \frac{b^{m} m x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{a b^{m} d \Gamma\left(1 - m\right) - b b^{m} c \Gamma\left(1 - m\right)}"," ",0,"-b**m*m*x**m*lerchphi(b*x*exp_polar(I*pi)/a, 1, m)*gamma(-m)/(a*b**m*d*gamma(1 - m) - b*b**m*c*gamma(1 - m)) + b**m*m*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(a*b**m*d*gamma(1 - m) - b*b**m*c*gamma(1 - m))","C",0
383,-2,0,0,0.000000," ","integrate(x**m/(b*x+a)/(d*x+c)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
384,1,9442,0,15.036294," ","integrate(x**m/(b*x+a)/(d*x+c)**3,x)","\frac{a^{2} c^{2} d^{2} m^{3} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{a^{2} c^{2} d^{2} m^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{2 a^{2} c d^{3} m^{3} x x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 a^{2} c d^{3} m^{2} x x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{a^{2} c d^{3} m^{2} x x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 a^{2} c d^{3} m x x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{a^{2} d^{4} m^{3} x^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{a^{2} d^{4} m^{2} x^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{a^{2} d^{4} m^{2} x^{2} x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{a^{2} d^{4} m x^{2} x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 a b c^{3} d m^{3} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{4 a b c^{3} d m^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{4 a b c^{2} d^{2} m^{3} x x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{8 a b c^{2} d^{2} m^{2} x x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 a b c^{2} d^{2} m^{2} x x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{6 a b c^{2} d^{2} m x x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 a b c d^{3} m^{3} x^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{4 a b c d^{3} m^{2} x^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 a b c d^{3} m^{2} x^{2} x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{4 a b c d^{3} m x^{2} x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{b^{2} c^{4} m^{3} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{3 b^{2} c^{4} m^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 b^{2} c^{4} m x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{2 b^{2} c^{4} m x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{2 b^{2} c^{3} d m^{3} x x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{6 b^{2} c^{3} d m^{2} x x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{b^{2} c^{3} d m^{2} x x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{4 b^{2} c^{3} d m x x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{4 b^{2} c^{3} d m x x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{4 b^{2} c^{3} d m x x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{b^{2} c^{2} d^{2} m^{3} x^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{3 b^{2} c^{2} d^{2} m^{2} x^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{b^{2} c^{2} d^{2} m^{2} x^{2} x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{2 b^{2} c^{2} d^{2} m x^{2} x^{m} \Phi\left(\frac{a e^{i \pi}}{b x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} + \frac{2 b^{2} c^{2} d^{2} m x^{2} x^{m} \Phi\left(\frac{c e^{i \pi}}{d x}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)} - \frac{3 b^{2} c^{2} d^{2} m x^{2} x^{m} \Gamma\left(- m\right)}{2 a^{3} c^{4} d^{3} \Gamma\left(1 - m\right) + 4 a^{3} c^{3} d^{4} x \Gamma\left(1 - m\right) + 2 a^{3} c^{2} d^{5} x^{2} \Gamma\left(1 - m\right) - 6 a^{2} b c^{5} d^{2} \Gamma\left(1 - m\right) - 12 a^{2} b c^{4} d^{3} x \Gamma\left(1 - m\right) - 6 a^{2} b c^{3} d^{4} x^{2} \Gamma\left(1 - m\right) + 6 a b^{2} c^{6} d \Gamma\left(1 - m\right) + 12 a b^{2} c^{5} d^{2} x \Gamma\left(1 - m\right) + 6 a b^{2} c^{4} d^{3} x^{2} \Gamma\left(1 - m\right) - 2 b^{3} c^{7} \Gamma\left(1 - m\right) - 4 b^{3} c^{6} d x \Gamma\left(1 - m\right) - 2 b^{3} c^{5} d^{2} x^{2} \Gamma\left(1 - m\right)}"," ",0,"a**2*c**2*d**2*m**3*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - a**2*c**2*d**2*m**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 2*a**2*c*d**3*m**3*x*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*a**2*c*d**3*m**2*x*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + a**2*c*d**3*m**2*x*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*a**2*c*d**3*m*x*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + a**2*d**4*m**3*x**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - a**2*d**4*m**2*x**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + a**2*d**4*m**2*x**2*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - a**2*d**4*m*x**2*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*a*b*c**3*d*m**3*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 4*a*b*c**3*d*m**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 4*a*b*c**2*d**2*m**3*x*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 8*a*b*c**2*d**2*m**2*x*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*a*b*c**2*d**2*m**2*x*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 6*a*b*c**2*d**2*m*x*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*a*b*c*d**3*m**3*x**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 4*a*b*c*d**3*m**2*x**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*a*b*c*d**3*m**2*x**2*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 4*a*b*c*d**3*m*x**2*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + b**2*c**4*m**3*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 3*b**2*c**4*m**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*b**2*c**4*m*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 2*b**2*c**4*m*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 2*b**2*c**3*d*m**3*x*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 6*b**2*c**3*d*m**2*x*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + b**2*c**3*d*m**2*x*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 4*b**2*c**3*d*m*x*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 4*b**2*c**3*d*m*x*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 4*b**2*c**3*d*m*x*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + b**2*c**2*d**2*m**3*x**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 3*b**2*c**2*d**2*m**2*x**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + b**2*c**2*d**2*m**2*x**2*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 2*b**2*c**2*d**2*m*x**2*x**m*lerchphi(a*exp_polar(I*pi)/(b*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) + 2*b**2*c**2*d**2*m*x**2*x**m*lerchphi(c*exp_polar(I*pi)/(d*x), 1, m*exp_polar(I*pi))*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m)) - 3*b**2*c**2*d**2*m*x**2*x**m*gamma(-m)/(2*a**3*c**4*d**3*gamma(1 - m) + 4*a**3*c**3*d**4*x*gamma(1 - m) + 2*a**3*c**2*d**5*x**2*gamma(1 - m) - 6*a**2*b*c**5*d**2*gamma(1 - m) - 12*a**2*b*c**4*d**3*x*gamma(1 - m) - 6*a**2*b*c**3*d**4*x**2*gamma(1 - m) + 6*a*b**2*c**6*d*gamma(1 - m) + 12*a*b**2*c**5*d**2*x*gamma(1 - m) + 6*a*b**2*c**4*d**3*x**2*gamma(1 - m) - 2*b**3*c**7*gamma(1 - m) - 4*b**3*c**6*d*x*gamma(1 - m) - 2*b**3*c**5*d**2*x**2*gamma(1 - m))","C",0
385,1,377,0,6.150351," ","integrate(b**2*x**m/(a*x**2+b)**2,x)","b^{2} \left(- \frac{a m^{2} x^{3} x^{m} \Phi\left(\frac{a x^{2} e^{i \pi}}{b}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a b^{2} x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 b^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{a x^{3} x^{m} \Phi\left(\frac{a x^{2} e^{i \pi}}{b}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a b^{2} x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 b^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{b m^{2} x x^{m} \Phi\left(\frac{a x^{2} e^{i \pi}}{b}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a b^{2} x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 b^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 b m x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a b^{2} x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 b^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{b x x^{m} \Phi\left(\frac{a x^{2} e^{i \pi}}{b}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a b^{2} x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 b^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 b x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a b^{2} x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 b^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}\right)"," ",0,"b**2*(-a*m**2*x**3*x**m*lerchphi(a*x**2*exp_polar(I*pi)/b, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a*b**2*x**2*gamma(m/2 + 3/2) + 8*b**3*gamma(m/2 + 3/2)) + a*x**3*x**m*lerchphi(a*x**2*exp_polar(I*pi)/b, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a*b**2*x**2*gamma(m/2 + 3/2) + 8*b**3*gamma(m/2 + 3/2)) - b*m**2*x*x**m*lerchphi(a*x**2*exp_polar(I*pi)/b, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a*b**2*x**2*gamma(m/2 + 3/2) + 8*b**3*gamma(m/2 + 3/2)) + 2*b*m*x*x**m*gamma(m/2 + 1/2)/(8*a*b**2*x**2*gamma(m/2 + 3/2) + 8*b**3*gamma(m/2 + 3/2)) + b*x*x**m*lerchphi(a*x**2*exp_polar(I*pi)/b, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a*b**2*x**2*gamma(m/2 + 3/2) + 8*b**3*gamma(m/2 + 3/2)) + 2*b*x*x**m*gamma(m/2 + 1/2)/(8*a*b**2*x**2*gamma(m/2 + 3/2) + 8*b**3*gamma(m/2 + 3/2)))","C",0
386,1,541,0,7.826150," ","integrate(x**m/(1-x*a**(1/2)/(-b)**(1/2))**2/(1+x*a**(1/2)/(-b)**(1/2))**2,x)","\frac{a b^{2} m^{2} x^{m} \Phi\left(\frac{b e^{i \pi}}{a x^{2}}, 1, \frac{3}{2} - \frac{m}{2}\right) \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)} - \frac{4 a b^{2} m x^{m} \Phi\left(\frac{b e^{i \pi}}{a x^{2}}, 1, \frac{3}{2} - \frac{m}{2}\right) \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)} + \frac{2 a b^{2} m x^{m} \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)} + \frac{3 a b^{2} x^{m} \Phi\left(\frac{b e^{i \pi}}{a x^{2}}, 1, \frac{3}{2} - \frac{m}{2}\right) \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)} - \frac{6 a b^{2} x^{m} \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)} + \frac{b^{3} m^{2} x^{m} \Phi\left(\frac{b e^{i \pi}}{a x^{2}}, 1, \frac{3}{2} - \frac{m}{2}\right) \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x^{3} \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)} - \frac{4 b^{3} m x^{m} \Phi\left(\frac{b e^{i \pi}}{a x^{2}}, 1, \frac{3}{2} - \frac{m}{2}\right) \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x^{3} \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)} + \frac{3 b^{3} x^{m} \Phi\left(\frac{b e^{i \pi}}{a x^{2}}, 1, \frac{3}{2} - \frac{m}{2}\right) \Gamma\left(\frac{3}{2} - \frac{m}{2}\right)}{x^{3} \left(8 a^{3} x^{2} \Gamma\left(\frac{5}{2} - \frac{m}{2}\right) + 8 a^{2} b \Gamma\left(\frac{5}{2} - \frac{m}{2}\right)\right)}"," ",0,"a*b**2*m**2*x**m*lerchphi(b*exp_polar(I*pi)/(a*x**2), 1, 3/2 - m/2)*gamma(3/2 - m/2)/(x*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2))) - 4*a*b**2*m*x**m*lerchphi(b*exp_polar(I*pi)/(a*x**2), 1, 3/2 - m/2)*gamma(3/2 - m/2)/(x*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2))) + 2*a*b**2*m*x**m*gamma(3/2 - m/2)/(x*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2))) + 3*a*b**2*x**m*lerchphi(b*exp_polar(I*pi)/(a*x**2), 1, 3/2 - m/2)*gamma(3/2 - m/2)/(x*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2))) - 6*a*b**2*x**m*gamma(3/2 - m/2)/(x*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2))) + b**3*m**2*x**m*lerchphi(b*exp_polar(I*pi)/(a*x**2), 1, 3/2 - m/2)*gamma(3/2 - m/2)/(x**3*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2))) - 4*b**3*m*x**m*lerchphi(b*exp_polar(I*pi)/(a*x**2), 1, 3/2 - m/2)*gamma(3/2 - m/2)/(x**3*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2))) + 3*b**3*x**m*lerchphi(b*exp_polar(I*pi)/(a*x**2), 1, 3/2 - m/2)*gamma(3/2 - m/2)/(x**3*(8*a**3*x**2*gamma(5/2 - m/2) + 8*a**2*b*gamma(5/2 - m/2)))","C",0
387,1,150,0,3.732763," ","integrate(x**4*(B*x+A)*(b*x+a)**(1/2),x)","\frac{2 \left(\frac{B \left(a + b x\right)^{\frac{13}{2}}}{13 b} + \frac{\left(a + b x\right)^{\frac{11}{2}} \left(A b - 5 B a\right)}{11 b} + \frac{\left(a + b x\right)^{\frac{9}{2}} \left(- 4 A a b + 10 B a^{2}\right)}{9 b} + \frac{\left(a + b x\right)^{\frac{7}{2}} \left(6 A a^{2} b - 10 B a^{3}\right)}{7 b} + \frac{\left(a + b x\right)^{\frac{5}{2}} \left(- 4 A a^{3} b + 5 B a^{4}\right)}{5 b} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(A a^{4} b - B a^{5}\right)}{3 b}\right)}{b^{5}}"," ",0,"2*(B*(a + b*x)**(13/2)/(13*b) + (a + b*x)**(11/2)*(A*b - 5*B*a)/(11*b) + (a + b*x)**(9/2)*(-4*A*a*b + 10*B*a**2)/(9*b) + (a + b*x)**(7/2)*(6*A*a**2*b - 10*B*a**3)/(7*b) + (a + b*x)**(5/2)*(-4*A*a**3*b + 5*B*a**4)/(5*b) + (a + b*x)**(3/2)*(A*a**4*b - B*a**5)/(3*b))/b**5","A",0
388,1,121,0,3.316381," ","integrate(x**3*(B*x+A)*(b*x+a)**(1/2),x)","\frac{2 \left(\frac{B \left(a + b x\right)^{\frac{11}{2}}}{11 b} + \frac{\left(a + b x\right)^{\frac{9}{2}} \left(A b - 4 B a\right)}{9 b} + \frac{\left(a + b x\right)^{\frac{7}{2}} \left(- 3 A a b + 6 B a^{2}\right)}{7 b} + \frac{\left(a + b x\right)^{\frac{5}{2}} \left(3 A a^{2} b - 4 B a^{3}\right)}{5 b} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(- A a^{3} b + B a^{4}\right)}{3 b}\right)}{b^{4}}"," ",0,"2*(B*(a + b*x)**(11/2)/(11*b) + (a + b*x)**(9/2)*(A*b - 4*B*a)/(9*b) + (a + b*x)**(7/2)*(-3*A*a*b + 6*B*a**2)/(7*b) + (a + b*x)**(5/2)*(3*A*a**2*b - 4*B*a**3)/(5*b) + (a + b*x)**(3/2)*(-A*a**3*b + B*a**4)/(3*b))/b**4","A",0
389,1,92,0,2.931122," ","integrate(x**2*(B*x+A)*(b*x+a)**(1/2),x)","\frac{2 \left(\frac{B \left(a + b x\right)^{\frac{9}{2}}}{9 b} + \frac{\left(a + b x\right)^{\frac{7}{2}} \left(A b - 3 B a\right)}{7 b} + \frac{\left(a + b x\right)^{\frac{5}{2}} \left(- 2 A a b + 3 B a^{2}\right)}{5 b} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(A a^{2} b - B a^{3}\right)}{3 b}\right)}{b^{3}}"," ",0,"2*(B*(a + b*x)**(9/2)/(9*b) + (a + b*x)**(7/2)*(A*b - 3*B*a)/(7*b) + (a + b*x)**(5/2)*(-2*A*a*b + 3*B*a**2)/(5*b) + (a + b*x)**(3/2)*(A*a**2*b - B*a**3)/(3*b))/b**3","A",0
390,1,63,0,2.644390," ","integrate(x*(B*x+A)*(b*x+a)**(1/2),x)","\frac{2 \left(\frac{B \left(a + b x\right)^{\frac{7}{2}}}{7 b} + \frac{\left(a + b x\right)^{\frac{5}{2}} \left(A b - 2 B a\right)}{5 b} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(- A a b + B a^{2}\right)}{3 b}\right)}{b^{2}}"," ",0,"2*(B*(a + b*x)**(7/2)/(7*b) + (a + b*x)**(5/2)*(A*b - 2*B*a)/(5*b) + (a + b*x)**(3/2)*(-A*a*b + B*a**2)/(3*b))/b**2","A",0
391,1,36,0,2.157246," ","integrate((B*x+A)*(b*x+a)**(1/2),x)","\frac{2 \left(\frac{B \left(a + b x\right)^{\frac{5}{2}}}{5 b} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(A b - B a\right)}{3 b}\right)}{b}"," ",0,"2*(B*(a + b*x)**(5/2)/(5*b) + (a + b*x)**(3/2)*(A*b - B*a)/(3*b))/b","A",0
392,1,54,0,5.779493," ","integrate((B*x+A)*(b*x+a)**(1/2)/x,x)","\frac{2 A a \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 A \sqrt{a + b x} + \frac{2 B \left(a + b x\right)^{\frac{3}{2}}}{3 b}"," ",0,"2*A*a*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*A*sqrt(a + b*x) + 2*B*(a + b*x)**(3/2)/(3*b)","A",0
393,1,155,0,14.244740," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**2,x)","- \frac{A a b \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{A a b \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{2 A b \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{A \sqrt{a + b x}}{x} + \frac{2 B a \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 B \sqrt{a + b x}"," ",0,"-A*a*b*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + A*a*b*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 2*A*b*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - A*sqrt(a + b*x)/x + 2*B*a*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*B*sqrt(a + b*x)","B",0
394,1,372,0,36.415371," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**3,x)","- \frac{10 A a^{2} b^{2} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{6 A a b^{2} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 A a b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 A a b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{A b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{A b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} - \frac{A b \sqrt{a + b x}}{a x} - \frac{B a b \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{B a b \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{2 B b \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{B \sqrt{a + b x}}{x}"," ",0,"-10*A*a**2*b**2*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 6*A*a*b**2*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*A*a*b**2*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*A*a*b**2*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - A*b**2*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + A*b**2*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 - A*b*sqrt(a + b*x)/(a*x) - B*a*b*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + B*a*b*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 2*B*b*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - B*sqrt(a + b*x)/x","B",0
395,1,666,0,38.712064," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**4,x)","- \frac{66 A a^{3} b^{3} \sqrt{a + b x}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{80 A a^{2} b^{3} \left(a + b x\right)^{\frac{3}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{30 A a b^{3} \left(a + b x\right)^{\frac{5}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{10 A a b^{3} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} - \frac{5 A a b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(- a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{5 A a b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{6 A b^{3} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 A b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 A b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{10 B a^{2} b^{2} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{6 B a b^{2} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 B a b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 B a b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{B b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{B b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} - \frac{B b \sqrt{a + b x}}{a x}"," ",0,"-66*A*a**3*b**3*sqrt(a + b*x)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 80*A*a**2*b**3*(a + b*x)**(3/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 30*A*a*b**3*(a + b*x)**(5/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 10*A*a*b**3*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) - 5*A*a*b**3*sqrt(a**(-7))*log(-a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 5*A*a*b**3*sqrt(a**(-7))*log(a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 6*A*b**3*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*A*b**3*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*A*b**3*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 10*B*a**2*b**2*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 6*B*a*b**2*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*B*a*b**2*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*B*a*b**2*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - B*b**2*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + B*b**2*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 - B*b*sqrt(a + b*x)/(a*x)","B",0
396,1,1001,0,65.926153," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**5,x)","- \frac{558 A a^{4} b^{4} \sqrt{a + b x}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} + \frac{1022 A a^{3} b^{4} \left(a + b x\right)^{\frac{3}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} - \frac{770 A a^{2} b^{4} \left(a + b x\right)^{\frac{5}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} - \frac{66 A a^{2} b^{4} \sqrt{a + b x}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{210 A a b^{4} \left(a + b x\right)^{\frac{7}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} + \frac{80 A a b^{4} \left(a + b x\right)^{\frac{3}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{35 A a b^{4} \sqrt{\frac{1}{a^{9}}} \log{\left(- a^{5} \sqrt{\frac{1}{a^{9}}} + \sqrt{a + b x} \right)}}{128} - \frac{35 A a b^{4} \sqrt{\frac{1}{a^{9}}} \log{\left(a^{5} \sqrt{\frac{1}{a^{9}}} + \sqrt{a + b x} \right)}}{128} - \frac{30 A b^{4} \left(a + b x\right)^{\frac{5}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{5 A b^{4} \sqrt{\frac{1}{a^{7}}} \log{\left(- a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{5 A b^{4} \sqrt{\frac{1}{a^{7}}} \log{\left(a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} - \frac{66 B a^{3} b^{3} \sqrt{a + b x}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{80 B a^{2} b^{3} \left(a + b x\right)^{\frac{3}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{30 B a b^{3} \left(a + b x\right)^{\frac{5}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{10 B a b^{3} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} - \frac{5 B a b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(- a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{5 B a b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{6 B b^{3} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 B b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 B b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8}"," ",0,"-558*A*a**4*b**4*sqrt(a + b*x)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) + 1022*A*a**3*b**4*(a + b*x)**(3/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) - 770*A*a**2*b**4*(a + b*x)**(5/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) - 66*A*a**2*b**4*sqrt(a + b*x)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 210*A*a*b**4*(a + b*x)**(7/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) + 80*A*a*b**4*(a + b*x)**(3/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 35*A*a*b**4*sqrt(a**(-9))*log(-a**5*sqrt(a**(-9)) + sqrt(a + b*x))/128 - 35*A*a*b**4*sqrt(a**(-9))*log(a**5*sqrt(a**(-9)) + sqrt(a + b*x))/128 - 30*A*b**4*(a + b*x)**(5/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 5*A*b**4*sqrt(a**(-7))*log(-a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 5*A*b**4*sqrt(a**(-7))*log(a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 - 66*B*a**3*b**3*sqrt(a + b*x)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 80*B*a**2*b**3*(a + b*x)**(3/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 30*B*a*b**3*(a + b*x)**(5/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 10*B*a*b**3*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) - 5*B*a*b**3*sqrt(a**(-7))*log(-a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 5*B*a*b**3*sqrt(a**(-7))*log(a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 6*B*b**3*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*B*b**3*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*B*b**3*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8","B",0
397,1,1416,0,60.372937," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**6,x)","- \frac{1930 A a^{5} b^{5} \sqrt{a + b x}}{5120 a^{10} + 6400 a^{9} b x - 12800 a^{8} \left(a + b x\right)^{2} + 12800 a^{7} \left(a + b x\right)^{3} - 6400 a^{6} \left(a + b x\right)^{4} + 1280 a^{5} \left(a + b x\right)^{5}} + \frac{4740 A a^{4} b^{5} \left(a + b x\right)^{\frac{3}{2}}}{5120 a^{10} + 6400 a^{9} b x - 12800 a^{8} \left(a + b x\right)^{2} + 12800 a^{7} \left(a + b x\right)^{3} - 6400 a^{6} \left(a + b x\right)^{4} + 1280 a^{5} \left(a + b x\right)^{5}} - \frac{5376 A a^{3} b^{5} \left(a + b x\right)^{\frac{5}{2}}}{5120 a^{10} + 6400 a^{9} b x - 12800 a^{8} \left(a + b x\right)^{2} + 12800 a^{7} \left(a + b x\right)^{3} - 6400 a^{6} \left(a + b x\right)^{4} + 1280 a^{5} \left(a + b x\right)^{5}} - \frac{558 A a^{3} b^{5} \sqrt{a + b x}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} + \frac{2940 A a^{2} b^{5} \left(a + b x\right)^{\frac{7}{2}}}{5120 a^{10} + 6400 a^{9} b x - 12800 a^{8} \left(a + b x\right)^{2} + 12800 a^{7} \left(a + b x\right)^{3} - 6400 a^{6} \left(a + b x\right)^{4} + 1280 a^{5} \left(a + b x\right)^{5}} + \frac{1022 A a^{2} b^{5} \left(a + b x\right)^{\frac{3}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} - \frac{630 A a b^{5} \left(a + b x\right)^{\frac{9}{2}}}{5120 a^{10} + 6400 a^{9} b x - 12800 a^{8} \left(a + b x\right)^{2} + 12800 a^{7} \left(a + b x\right)^{3} - 6400 a^{6} \left(a + b x\right)^{4} + 1280 a^{5} \left(a + b x\right)^{5}} - \frac{770 A a b^{5} \left(a + b x\right)^{\frac{5}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} - \frac{63 A a b^{5} \sqrt{\frac{1}{a^{11}}} \log{\left(- a^{6} \sqrt{\frac{1}{a^{11}}} + \sqrt{a + b x} \right)}}{256} + \frac{63 A a b^{5} \sqrt{\frac{1}{a^{11}}} \log{\left(a^{6} \sqrt{\frac{1}{a^{11}}} + \sqrt{a + b x} \right)}}{256} + \frac{210 A b^{5} \left(a + b x\right)^{\frac{7}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} + \frac{35 A b^{5} \sqrt{\frac{1}{a^{9}}} \log{\left(- a^{5} \sqrt{\frac{1}{a^{9}}} + \sqrt{a + b x} \right)}}{128} - \frac{35 A b^{5} \sqrt{\frac{1}{a^{9}}} \log{\left(a^{5} \sqrt{\frac{1}{a^{9}}} + \sqrt{a + b x} \right)}}{128} - \frac{558 B a^{4} b^{4} \sqrt{a + b x}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} + \frac{1022 B a^{3} b^{4} \left(a + b x\right)^{\frac{3}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} - \frac{770 B a^{2} b^{4} \left(a + b x\right)^{\frac{5}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} - \frac{66 B a^{2} b^{4} \sqrt{a + b x}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{210 B a b^{4} \left(a + b x\right)^{\frac{7}{2}}}{- 1152 a^{8} - 1536 a^{7} b x + 2304 a^{6} \left(a + b x\right)^{2} - 1536 a^{5} \left(a + b x\right)^{3} + 384 a^{4} \left(a + b x\right)^{4}} + \frac{80 B a b^{4} \left(a + b x\right)^{\frac{3}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{35 B a b^{4} \sqrt{\frac{1}{a^{9}}} \log{\left(- a^{5} \sqrt{\frac{1}{a^{9}}} + \sqrt{a + b x} \right)}}{128} - \frac{35 B a b^{4} \sqrt{\frac{1}{a^{9}}} \log{\left(a^{5} \sqrt{\frac{1}{a^{9}}} + \sqrt{a + b x} \right)}}{128} - \frac{30 B b^{4} \left(a + b x\right)^{\frac{5}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{5 B b^{4} \sqrt{\frac{1}{a^{7}}} \log{\left(- a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{5 B b^{4} \sqrt{\frac{1}{a^{7}}} \log{\left(a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16}"," ",0,"-1930*A*a**5*b**5*sqrt(a + b*x)/(5120*a**10 + 6400*a**9*b*x - 12800*a**8*(a + b*x)**2 + 12800*a**7*(a + b*x)**3 - 6400*a**6*(a + b*x)**4 + 1280*a**5*(a + b*x)**5) + 4740*A*a**4*b**5*(a + b*x)**(3/2)/(5120*a**10 + 6400*a**9*b*x - 12800*a**8*(a + b*x)**2 + 12800*a**7*(a + b*x)**3 - 6400*a**6*(a + b*x)**4 + 1280*a**5*(a + b*x)**5) - 5376*A*a**3*b**5*(a + b*x)**(5/2)/(5120*a**10 + 6400*a**9*b*x - 12800*a**8*(a + b*x)**2 + 12800*a**7*(a + b*x)**3 - 6400*a**6*(a + b*x)**4 + 1280*a**5*(a + b*x)**5) - 558*A*a**3*b**5*sqrt(a + b*x)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) + 2940*A*a**2*b**5*(a + b*x)**(7/2)/(5120*a**10 + 6400*a**9*b*x - 12800*a**8*(a + b*x)**2 + 12800*a**7*(a + b*x)**3 - 6400*a**6*(a + b*x)**4 + 1280*a**5*(a + b*x)**5) + 1022*A*a**2*b**5*(a + b*x)**(3/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) - 630*A*a*b**5*(a + b*x)**(9/2)/(5120*a**10 + 6400*a**9*b*x - 12800*a**8*(a + b*x)**2 + 12800*a**7*(a + b*x)**3 - 6400*a**6*(a + b*x)**4 + 1280*a**5*(a + b*x)**5) - 770*A*a*b**5*(a + b*x)**(5/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) - 63*A*a*b**5*sqrt(a**(-11))*log(-a**6*sqrt(a**(-11)) + sqrt(a + b*x))/256 + 63*A*a*b**5*sqrt(a**(-11))*log(a**6*sqrt(a**(-11)) + sqrt(a + b*x))/256 + 210*A*b**5*(a + b*x)**(7/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) + 35*A*b**5*sqrt(a**(-9))*log(-a**5*sqrt(a**(-9)) + sqrt(a + b*x))/128 - 35*A*b**5*sqrt(a**(-9))*log(a**5*sqrt(a**(-9)) + sqrt(a + b*x))/128 - 558*B*a**4*b**4*sqrt(a + b*x)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) + 1022*B*a**3*b**4*(a + b*x)**(3/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) - 770*B*a**2*b**4*(a + b*x)**(5/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) - 66*B*a**2*b**4*sqrt(a + b*x)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 210*B*a*b**4*(a + b*x)**(7/2)/(-1152*a**8 - 1536*a**7*b*x + 2304*a**6*(a + b*x)**2 - 1536*a**5*(a + b*x)**3 + 384*a**4*(a + b*x)**4) + 80*B*a*b**4*(a + b*x)**(3/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 35*B*a*b**4*sqrt(a**(-9))*log(-a**5*sqrt(a**(-9)) + sqrt(a + b*x))/128 - 35*B*a*b**4*sqrt(a**(-9))*log(a**5*sqrt(a**(-9)) + sqrt(a + b*x))/128 - 30*B*b**4*(a + b*x)**(5/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 5*B*b**4*sqrt(a**(-7))*log(-a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 5*B*b**4*sqrt(a**(-7))*log(a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16","B",0
398,1,355,0,13.488473," ","integrate(x**4*(b*x+a)**(3/2)*(B*x+A),x)","\frac{2 A a \left(\frac{a^{4} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{4 a^{3} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{6 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{4 a \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{5}} + \frac{2 A \left(- \frac{a^{5} \left(a + b x\right)^{\frac{3}{2}}}{3} + a^{4} \left(a + b x\right)^{\frac{5}{2}} - \frac{10 a^{3} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{10 a^{2} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{5 a \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{13}\right)}{b^{5}} + \frac{2 B a \left(- \frac{a^{5} \left(a + b x\right)^{\frac{3}{2}}}{3} + a^{4} \left(a + b x\right)^{\frac{5}{2}} - \frac{10 a^{3} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{10 a^{2} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{5 a \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{13}\right)}{b^{6}} + \frac{2 B \left(\frac{a^{6} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{6 a^{5} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{15 a^{4} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{20 a^{3} \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{15 a^{2} \left(a + b x\right)^{\frac{11}{2}}}{11} - \frac{6 a \left(a + b x\right)^{\frac{13}{2}}}{13} + \frac{\left(a + b x\right)^{\frac{15}{2}}}{15}\right)}{b^{6}}"," ",0,"2*A*a*(a**4*(a + b*x)**(3/2)/3 - 4*a**3*(a + b*x)**(5/2)/5 + 6*a**2*(a + b*x)**(7/2)/7 - 4*a*(a + b*x)**(9/2)/9 + (a + b*x)**(11/2)/11)/b**5 + 2*A*(-a**5*(a + b*x)**(3/2)/3 + a**4*(a + b*x)**(5/2) - 10*a**3*(a + b*x)**(7/2)/7 + 10*a**2*(a + b*x)**(9/2)/9 - 5*a*(a + b*x)**(11/2)/11 + (a + b*x)**(13/2)/13)/b**5 + 2*B*a*(-a**5*(a + b*x)**(3/2)/3 + a**4*(a + b*x)**(5/2) - 10*a**3*(a + b*x)**(7/2)/7 + 10*a**2*(a + b*x)**(9/2)/9 - 5*a*(a + b*x)**(11/2)/11 + (a + b*x)**(13/2)/13)/b**6 + 2*B*(a**6*(a + b*x)**(3/2)/3 - 6*a**5*(a + b*x)**(5/2)/5 + 15*a**4*(a + b*x)**(7/2)/7 - 20*a**3*(a + b*x)**(9/2)/9 + 15*a**2*(a + b*x)**(11/2)/11 - 6*a*(a + b*x)**(13/2)/13 + (a + b*x)**(15/2)/15)/b**6","B",0
399,1,298,0,11.854299," ","integrate(x**3*(b*x+a)**(3/2)*(B*x+A),x)","\frac{2 A a \left(- \frac{a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{3 a^{2} \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{3 a \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{4}} + \frac{2 A \left(\frac{a^{4} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{4 a^{3} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{6 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{4 a \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{4}} + \frac{2 B a \left(\frac{a^{4} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{4 a^{3} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{6 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{4 a \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{5}} + \frac{2 B \left(- \frac{a^{5} \left(a + b x\right)^{\frac{3}{2}}}{3} + a^{4} \left(a + b x\right)^{\frac{5}{2}} - \frac{10 a^{3} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{10 a^{2} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{5 a \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{13}\right)}{b^{5}}"," ",0,"2*A*a*(-a**3*(a + b*x)**(3/2)/3 + 3*a**2*(a + b*x)**(5/2)/5 - 3*a*(a + b*x)**(7/2)/7 + (a + b*x)**(9/2)/9)/b**4 + 2*A*(a**4*(a + b*x)**(3/2)/3 - 4*a**3*(a + b*x)**(5/2)/5 + 6*a**2*(a + b*x)**(7/2)/7 - 4*a*(a + b*x)**(9/2)/9 + (a + b*x)**(11/2)/11)/b**4 + 2*B*a*(a**4*(a + b*x)**(3/2)/3 - 4*a**3*(a + b*x)**(5/2)/5 + 6*a**2*(a + b*x)**(7/2)/7 - 4*a*(a + b*x)**(9/2)/9 + (a + b*x)**(11/2)/11)/b**5 + 2*B*(-a**5*(a + b*x)**(3/2)/3 + a**4*(a + b*x)**(5/2) - 10*a**3*(a + b*x)**(7/2)/7 + 10*a**2*(a + b*x)**(9/2)/9 - 5*a*(a + b*x)**(11/2)/11 + (a + b*x)**(13/2)/13)/b**5","B",0
400,1,240,0,10.016427," ","integrate(x**2*(b*x+a)**(3/2)*(B*x+A),x)","\frac{2 A a \left(\frac{a^{2} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{2 a \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{7}\right)}{b^{3}} + \frac{2 A \left(- \frac{a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{3 a^{2} \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{3 a \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{3}} + \frac{2 B a \left(- \frac{a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{3 a^{2} \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{3 a \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{4}} + \frac{2 B \left(\frac{a^{4} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{4 a^{3} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{6 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{4 a \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{4}}"," ",0,"2*A*a*(a**2*(a + b*x)**(3/2)/3 - 2*a*(a + b*x)**(5/2)/5 + (a + b*x)**(7/2)/7)/b**3 + 2*A*(-a**3*(a + b*x)**(3/2)/3 + 3*a**2*(a + b*x)**(5/2)/5 - 3*a*(a + b*x)**(7/2)/7 + (a + b*x)**(9/2)/9)/b**3 + 2*B*a*(-a**3*(a + b*x)**(3/2)/3 + 3*a**2*(a + b*x)**(5/2)/5 - 3*a*(a + b*x)**(7/2)/7 + (a + b*x)**(9/2)/9)/b**4 + 2*B*(a**4*(a + b*x)**(3/2)/3 - 4*a**3*(a + b*x)**(5/2)/5 + 6*a**2*(a + b*x)**(7/2)/7 - 4*a*(a + b*x)**(9/2)/9 + (a + b*x)**(11/2)/11)/b**4","B",0
401,1,178,0,8.456166," ","integrate(x*(b*x+a)**(3/2)*(B*x+A),x)","\frac{2 A a \left(- \frac{a \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{\left(a + b x\right)^{\frac{5}{2}}}{5}\right)}{b^{2}} + \frac{2 A \left(\frac{a^{2} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{2 a \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{7}\right)}{b^{2}} + \frac{2 B a \left(\frac{a^{2} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{2 a \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{7}\right)}{b^{3}} + \frac{2 B \left(- \frac{a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{3 a^{2} \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{3 a \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{3}}"," ",0,"2*A*a*(-a*(a + b*x)**(3/2)/3 + (a + b*x)**(5/2)/5)/b**2 + 2*A*(a**2*(a + b*x)**(3/2)/3 - 2*a*(a + b*x)**(5/2)/5 + (a + b*x)**(7/2)/7)/b**2 + 2*B*a*(a**2*(a + b*x)**(3/2)/3 - 2*a*(a + b*x)**(5/2)/5 + (a + b*x)**(7/2)/7)/b**3 + 2*B*(-a**3*(a + b*x)**(3/2)/3 + 3*a**2*(a + b*x)**(5/2)/5 - 3*a*(a + b*x)**(7/2)/7 + (a + b*x)**(9/2)/9)/b**3","B",0
402,1,146,0,0.686102," ","integrate((b*x+a)**(3/2)*(B*x+A),x)","\begin{cases} \frac{2 A a^{2} \sqrt{a + b x}}{5 b} + \frac{4 A a x \sqrt{a + b x}}{5} + \frac{2 A b x^{2} \sqrt{a + b x}}{5} - \frac{4 B a^{3} \sqrt{a + b x}}{35 b^{2}} + \frac{2 B a^{2} x \sqrt{a + b x}}{35 b} + \frac{16 B a x^{2} \sqrt{a + b x}}{35} + \frac{2 B b x^{3} \sqrt{a + b x}}{7} & \text{for}\: b \neq 0 \\a^{\frac{3}{2}} \left(A x + \frac{B x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a**2*sqrt(a + b*x)/(5*b) + 4*A*a*x*sqrt(a + b*x)/5 + 2*A*b*x**2*sqrt(a + b*x)/5 - 4*B*a**3*sqrt(a + b*x)/(35*b**2) + 2*B*a**2*x*sqrt(a + b*x)/(35*b) + 16*B*a*x**2*sqrt(a + b*x)/35 + 2*B*b*x**3*sqrt(a + b*x)/7, Ne(b, 0)), (a**(3/2)*(A*x + B*x**2/2), True))","A",0
403,1,71,0,30.343602," ","integrate((b*x+a)**(3/2)*(B*x+A)/x,x)","\frac{2 A a^{2} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 A a \sqrt{a + b x} + \frac{2 A \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{2 B \left(a + b x\right)^{\frac{5}{2}}}{5 b}"," ",0,"2*A*a**2*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*A*a*sqrt(a + b*x) + 2*A*(a + b*x)**(3/2)/3 + 2*B*(a + b*x)**(5/2)/(5*b)","A",0
404,1,202,0,27.560187," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**2,x)","- \frac{A a^{2} b \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{A a^{2} b \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{4 A a b \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{A a \sqrt{a + b x}}{x} + 2 A b \sqrt{a + b x} + \frac{2 B a^{2} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 B a \sqrt{a + b x} + B b \left(\begin{cases} \sqrt{a} x & \text{for}\: b = 0 \\\frac{2 \left(a + b x\right)^{\frac{3}{2}}}{3 b} & \text{otherwise} \end{cases}\right)"," ",0,"-A*a**2*b*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + A*a**2*b*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 4*A*a*b*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - A*a*sqrt(a + b*x)/x + 2*A*b*sqrt(a + b*x) + 2*B*a**2*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*B*a*sqrt(a + b*x) + B*b*Piecewise((sqrt(a)*x, Eq(b, 0)), (2*(a + b*x)**(3/2)/(3*b), True))","A",0
405,1,428,0,78.604099," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**3,x)","- \frac{10 A a^{3} b^{2} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{6 A a^{2} b^{2} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 A a^{2} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 A a^{2} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - A a b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)} + A a b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)} + \frac{2 A b^{2} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{2 A b \sqrt{a + b x}}{x} - \frac{B a^{2} b \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{B a^{2} b \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{4 B a b \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{B a \sqrt{a + b x}}{x} + 2 B b \sqrt{a + b x}"," ",0,"-10*A*a**3*b**2*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 6*A*a**2*b**2*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*A*a**2*b**2*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*A*a**2*b**2*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - A*a*b**2*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x)) + A*a*b**2*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x)) + 2*A*b**2*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - 2*A*b*sqrt(a + b*x)/x - B*a**2*b*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + B*a**2*b*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 4*B*a*b*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - B*a*sqrt(a + b*x)/x + 2*B*b*sqrt(a + b*x)","B",0
406,1,806,0,121.506138," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**4,x)","- \frac{66 A a^{4} b^{3} \sqrt{a + b x}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{80 A a^{3} b^{3} \left(a + b x\right)^{\frac{3}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{30 A a^{2} b^{3} \left(a + b x\right)^{\frac{5}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{20 A a^{2} b^{3} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} - \frac{5 A a^{2} b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(- a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{5 A a^{2} b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{12 A a b^{3} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 A a b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{4} - \frac{3 A a b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{4} - \frac{A b^{3} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{A b^{3} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} - \frac{A b^{2} \sqrt{a + b x}}{a x} - \frac{10 B a^{3} b^{2} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{6 B a^{2} b^{2} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 B a^{2} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 B a^{2} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - B a b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)} + B a b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)} + \frac{2 B b^{2} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{2 B b \sqrt{a + b x}}{x}"," ",0,"-66*A*a**4*b**3*sqrt(a + b*x)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 80*A*a**3*b**3*(a + b*x)**(3/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 30*A*a**2*b**3*(a + b*x)**(5/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 20*A*a**2*b**3*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) - 5*A*a**2*b**3*sqrt(a**(-7))*log(-a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 5*A*a**2*b**3*sqrt(a**(-7))*log(a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 12*A*a*b**3*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*A*a*b**3*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/4 - 3*A*a*b**3*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/4 - A*b**3*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + A*b**3*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 - A*b**2*sqrt(a + b*x)/(a*x) - 10*B*a**3*b**2*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 6*B*a**2*b**2*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*B*a**2*b**2*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*B*a**2*b**2*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - B*a*b**2*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x)) + B*a*b**2*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x)) + 2*B*b**2*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - 2*B*b*sqrt(a + b*x)/x","B",0
407,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
408,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
409,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
410,1,586,0,20.848232," ","integrate(x**4*(b*x+a)**(5/2)*(B*x+A),x)","\frac{2 A a^{2} \left(\frac{a^{4} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{4 a^{3} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{6 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{4 a \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{5}} + \frac{4 A a \left(- \frac{a^{5} \left(a + b x\right)^{\frac{3}{2}}}{3} + a^{4} \left(a + b x\right)^{\frac{5}{2}} - \frac{10 a^{3} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{10 a^{2} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{5 a \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{13}\right)}{b^{5}} + \frac{2 A \left(\frac{a^{6} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{6 a^{5} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{15 a^{4} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{20 a^{3} \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{15 a^{2} \left(a + b x\right)^{\frac{11}{2}}}{11} - \frac{6 a \left(a + b x\right)^{\frac{13}{2}}}{13} + \frac{\left(a + b x\right)^{\frac{15}{2}}}{15}\right)}{b^{5}} + \frac{2 B a^{2} \left(- \frac{a^{5} \left(a + b x\right)^{\frac{3}{2}}}{3} + a^{4} \left(a + b x\right)^{\frac{5}{2}} - \frac{10 a^{3} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{10 a^{2} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{5 a \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{13}\right)}{b^{6}} + \frac{4 B a \left(\frac{a^{6} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{6 a^{5} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{15 a^{4} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{20 a^{3} \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{15 a^{2} \left(a + b x\right)^{\frac{11}{2}}}{11} - \frac{6 a \left(a + b x\right)^{\frac{13}{2}}}{13} + \frac{\left(a + b x\right)^{\frac{15}{2}}}{15}\right)}{b^{6}} + \frac{2 B \left(- \frac{a^{7} \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{7 a^{6} \left(a + b x\right)^{\frac{5}{2}}}{5} - 3 a^{5} \left(a + b x\right)^{\frac{7}{2}} + \frac{35 a^{4} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{35 a^{3} \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{21 a^{2} \left(a + b x\right)^{\frac{13}{2}}}{13} - \frac{7 a \left(a + b x\right)^{\frac{15}{2}}}{15} + \frac{\left(a + b x\right)^{\frac{17}{2}}}{17}\right)}{b^{6}}"," ",0,"2*A*a**2*(a**4*(a + b*x)**(3/2)/3 - 4*a**3*(a + b*x)**(5/2)/5 + 6*a**2*(a + b*x)**(7/2)/7 - 4*a*(a + b*x)**(9/2)/9 + (a + b*x)**(11/2)/11)/b**5 + 4*A*a*(-a**5*(a + b*x)**(3/2)/3 + a**4*(a + b*x)**(5/2) - 10*a**3*(a + b*x)**(7/2)/7 + 10*a**2*(a + b*x)**(9/2)/9 - 5*a*(a + b*x)**(11/2)/11 + (a + b*x)**(13/2)/13)/b**5 + 2*A*(a**6*(a + b*x)**(3/2)/3 - 6*a**5*(a + b*x)**(5/2)/5 + 15*a**4*(a + b*x)**(7/2)/7 - 20*a**3*(a + b*x)**(9/2)/9 + 15*a**2*(a + b*x)**(11/2)/11 - 6*a*(a + b*x)**(13/2)/13 + (a + b*x)**(15/2)/15)/b**5 + 2*B*a**2*(-a**5*(a + b*x)**(3/2)/3 + a**4*(a + b*x)**(5/2) - 10*a**3*(a + b*x)**(7/2)/7 + 10*a**2*(a + b*x)**(9/2)/9 - 5*a*(a + b*x)**(11/2)/11 + (a + b*x)**(13/2)/13)/b**6 + 4*B*a*(a**6*(a + b*x)**(3/2)/3 - 6*a**5*(a + b*x)**(5/2)/5 + 15*a**4*(a + b*x)**(7/2)/7 - 20*a**3*(a + b*x)**(9/2)/9 + 15*a**2*(a + b*x)**(11/2)/11 - 6*a*(a + b*x)**(13/2)/13 + (a + b*x)**(15/2)/15)/b**6 + 2*B*(-a**7*(a + b*x)**(3/2)/3 + 7*a**6*(a + b*x)**(5/2)/5 - 3*a**5*(a + b*x)**(7/2) + 35*a**4*(a + b*x)**(9/2)/9 - 35*a**3*(a + b*x)**(11/2)/11 + 21*a**2*(a + b*x)**(13/2)/13 - 7*a*(a + b*x)**(15/2)/15 + (a + b*x)**(17/2)/17)/b**6","B",0
411,1,496,0,18.325024," ","integrate(x**3*(b*x+a)**(5/2)*(B*x+A),x)","\frac{2 A a^{2} \left(- \frac{a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{3 a^{2} \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{3 a \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{4}} + \frac{4 A a \left(\frac{a^{4} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{4 a^{3} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{6 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{4 a \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{4}} + \frac{2 A \left(- \frac{a^{5} \left(a + b x\right)^{\frac{3}{2}}}{3} + a^{4} \left(a + b x\right)^{\frac{5}{2}} - \frac{10 a^{3} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{10 a^{2} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{5 a \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{13}\right)}{b^{4}} + \frac{2 B a^{2} \left(\frac{a^{4} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{4 a^{3} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{6 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{4 a \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{5}} + \frac{4 B a \left(- \frac{a^{5} \left(a + b x\right)^{\frac{3}{2}}}{3} + a^{4} \left(a + b x\right)^{\frac{5}{2}} - \frac{10 a^{3} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{10 a^{2} \left(a + b x\right)^{\frac{9}{2}}}{9} - \frac{5 a \left(a + b x\right)^{\frac{11}{2}}}{11} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{13}\right)}{b^{5}} + \frac{2 B \left(\frac{a^{6} \left(a + b x\right)^{\frac{3}{2}}}{3} - \frac{6 a^{5} \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{15 a^{4} \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{20 a^{3} \left(a + b x\right)^{\frac{9}{2}}}{9} + \frac{15 a^{2} \left(a + b x\right)^{\frac{11}{2}}}{11} - \frac{6 a \left(a + b x\right)^{\frac{13}{2}}}{13} + \frac{\left(a + b x\right)^{\frac{15}{2}}}{15}\right)}{b^{5}}"," ",0,"2*A*a**2*(-a**3*(a + b*x)**(3/2)/3 + 3*a**2*(a + b*x)**(5/2)/5 - 3*a*(a + b*x)**(7/2)/7 + (a + b*x)**(9/2)/9)/b**4 + 4*A*a*(a**4*(a + b*x)**(3/2)/3 - 4*a**3*(a + b*x)**(5/2)/5 + 6*a**2*(a + b*x)**(7/2)/7 - 4*a*(a + b*x)**(9/2)/9 + (a + b*x)**(11/2)/11)/b**4 + 2*A*(-a**5*(a + b*x)**(3/2)/3 + a**4*(a + b*x)**(5/2) - 10*a**3*(a + b*x)**(7/2)/7 + 10*a**2*(a + b*x)**(9/2)/9 - 5*a*(a + b*x)**(11/2)/11 + (a + b*x)**(13/2)/13)/b**4 + 2*B*a**2*(a**4*(a + b*x)**(3/2)/3 - 4*a**3*(a + b*x)**(5/2)/5 + 6*a**2*(a + b*x)**(7/2)/7 - 4*a*(a + b*x)**(9/2)/9 + (a + b*x)**(11/2)/11)/b**5 + 4*B*a*(-a**5*(a + b*x)**(3/2)/3 + a**4*(a + b*x)**(5/2) - 10*a**3*(a + b*x)**(7/2)/7 + 10*a**2*(a + b*x)**(9/2)/9 - 5*a*(a + b*x)**(11/2)/11 + (a + b*x)**(13/2)/13)/b**5 + 2*B*(a**6*(a + b*x)**(3/2)/3 - 6*a**5*(a + b*x)**(5/2)/5 + 15*a**4*(a + b*x)**(7/2)/7 - 20*a**3*(a + b*x)**(9/2)/9 + 15*a**2*(a + b*x)**(11/2)/11 - 6*a*(a + b*x)**(13/2)/13 + (a + b*x)**(15/2)/15)/b**5","B",0
412,1,292,0,4.023244," ","integrate(x**2*(b*x+a)**(5/2)*(B*x+A),x)","\begin{cases} \frac{16 A a^{5} \sqrt{a + b x}}{693 b^{3}} - \frac{8 A a^{4} x \sqrt{a + b x}}{693 b^{2}} + \frac{2 A a^{3} x^{2} \sqrt{a + b x}}{231 b} + \frac{226 A a^{2} x^{3} \sqrt{a + b x}}{693} + \frac{46 A a b x^{4} \sqrt{a + b x}}{99} + \frac{2 A b^{2} x^{5} \sqrt{a + b x}}{11} - \frac{32 B a^{6} \sqrt{a + b x}}{3003 b^{4}} + \frac{16 B a^{5} x \sqrt{a + b x}}{3003 b^{3}} - \frac{4 B a^{4} x^{2} \sqrt{a + b x}}{1001 b^{2}} + \frac{10 B a^{3} x^{3} \sqrt{a + b x}}{3003 b} + \frac{106 B a^{2} x^{4} \sqrt{a + b x}}{429} + \frac{54 B a b x^{5} \sqrt{a + b x}}{143} + \frac{2 B b^{2} x^{6} \sqrt{a + b x}}{13} & \text{for}\: b \neq 0 \\a^{\frac{5}{2}} \left(\frac{A x^{3}}{3} + \frac{B x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*A*a**5*sqrt(a + b*x)/(693*b**3) - 8*A*a**4*x*sqrt(a + b*x)/(693*b**2) + 2*A*a**3*x**2*sqrt(a + b*x)/(231*b) + 226*A*a**2*x**3*sqrt(a + b*x)/693 + 46*A*a*b*x**4*sqrt(a + b*x)/99 + 2*A*b**2*x**5*sqrt(a + b*x)/11 - 32*B*a**6*sqrt(a + b*x)/(3003*b**4) + 16*B*a**5*x*sqrt(a + b*x)/(3003*b**3) - 4*B*a**4*x**2*sqrt(a + b*x)/(1001*b**2) + 10*B*a**3*x**3*sqrt(a + b*x)/(3003*b) + 106*B*a**2*x**4*sqrt(a + b*x)/429 + 54*B*a*b*x**5*sqrt(a + b*x)/143 + 2*B*b**2*x**6*sqrt(a + b*x)/13, Ne(b, 0)), (a**(5/2)*(A*x**3/3 + B*x**4/4), True))","A",0
413,1,245,0,3.238669," ","integrate(x*(b*x+a)**(5/2)*(B*x+A),x)","\begin{cases} - \frac{4 A a^{4} \sqrt{a + b x}}{63 b^{2}} + \frac{2 A a^{3} x \sqrt{a + b x}}{63 b} + \frac{10 A a^{2} x^{2} \sqrt{a + b x}}{21} + \frac{38 A a b x^{3} \sqrt{a + b x}}{63} + \frac{2 A b^{2} x^{4} \sqrt{a + b x}}{9} + \frac{16 B a^{5} \sqrt{a + b x}}{693 b^{3}} - \frac{8 B a^{4} x \sqrt{a + b x}}{693 b^{2}} + \frac{2 B a^{3} x^{2} \sqrt{a + b x}}{231 b} + \frac{226 B a^{2} x^{3} \sqrt{a + b x}}{693} + \frac{46 B a b x^{4} \sqrt{a + b x}}{99} + \frac{2 B b^{2} x^{5} \sqrt{a + b x}}{11} & \text{for}\: b \neq 0 \\a^{\frac{5}{2}} \left(\frac{A x^{2}}{2} + \frac{B x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*A*a**4*sqrt(a + b*x)/(63*b**2) + 2*A*a**3*x*sqrt(a + b*x)/(63*b) + 10*A*a**2*x**2*sqrt(a + b*x)/21 + 38*A*a*b*x**3*sqrt(a + b*x)/63 + 2*A*b**2*x**4*sqrt(a + b*x)/9 + 16*B*a**5*sqrt(a + b*x)/(693*b**3) - 8*B*a**4*x*sqrt(a + b*x)/(693*b**2) + 2*B*a**3*x**2*sqrt(a + b*x)/(231*b) + 226*B*a**2*x**3*sqrt(a + b*x)/693 + 46*B*a*b*x**4*sqrt(a + b*x)/99 + 2*B*b**2*x**5*sqrt(a + b*x)/11, Ne(b, 0)), (a**(5/2)*(A*x**2/2 + B*x**3/3), True))","A",0
414,1,194,0,2.248529," ","integrate((b*x+a)**(5/2)*(B*x+A),x)","\begin{cases} \frac{2 A a^{3} \sqrt{a + b x}}{7 b} + \frac{6 A a^{2} x \sqrt{a + b x}}{7} + \frac{6 A a b x^{2} \sqrt{a + b x}}{7} + \frac{2 A b^{2} x^{3} \sqrt{a + b x}}{7} - \frac{4 B a^{4} \sqrt{a + b x}}{63 b^{2}} + \frac{2 B a^{3} x \sqrt{a + b x}}{63 b} + \frac{10 B a^{2} x^{2} \sqrt{a + b x}}{21} + \frac{38 B a b x^{3} \sqrt{a + b x}}{63} + \frac{2 B b^{2} x^{4} \sqrt{a + b x}}{9} & \text{for}\: b \neq 0 \\a^{\frac{5}{2}} \left(A x + \frac{B x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a**3*sqrt(a + b*x)/(7*b) + 6*A*a**2*x*sqrt(a + b*x)/7 + 6*A*a*b*x**2*sqrt(a + b*x)/7 + 2*A*b**2*x**3*sqrt(a + b*x)/7 - 4*B*a**4*sqrt(a + b*x)/(63*b**2) + 2*B*a**3*x*sqrt(a + b*x)/(63*b) + 10*B*a**2*x**2*sqrt(a + b*x)/21 + 38*B*a*b*x**3*sqrt(a + b*x)/63 + 2*B*b**2*x**4*sqrt(a + b*x)/9, Ne(b, 0)), (a**(5/2)*(A*x + B*x**2/2), True))","A",0
415,1,88,0,42.974198," ","integrate((b*x+a)**(5/2)*(B*x+A)/x,x)","\frac{2 A a^{3} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 A a^{2} \sqrt{a + b x} + \frac{2 A a \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{2 A \left(a + b x\right)^{\frac{5}{2}}}{5} + \frac{2 B \left(a + b x\right)^{\frac{7}{2}}}{7 b}"," ",0,"2*A*a**3*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*A*a**2*sqrt(a + b*x) + 2*A*a*(a + b*x)**(3/2)/3 + 2*A*(a + b*x)**(5/2)/5 + 2*B*(a + b*x)**(7/2)/(7*b)","A",0
416,1,267,0,31.229570," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**2,x)","- \frac{A a^{3} b \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{A a^{3} b \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{6 A a^{2} b \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{A a^{2} \sqrt{a + b x}}{x} + 4 A a b \sqrt{a + b x} + A b^{2} \left(\begin{cases} \sqrt{a} x & \text{for}\: b = 0 \\\frac{2 \left(a + b x\right)^{\frac{3}{2}}}{3 b} & \text{otherwise} \end{cases}\right) + \frac{2 B a^{3} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 B a^{2} \sqrt{a + b x} + 2 B a b \left(\begin{cases} \sqrt{a} x & \text{for}\: b = 0 \\\frac{2 \left(a + b x\right)^{\frac{3}{2}}}{3 b} & \text{otherwise} \end{cases}\right) - \frac{2 B a \left(a + b x\right)^{\frac{3}{2}}}{3} + \frac{2 B \left(a + b x\right)^{\frac{5}{2}}}{5}"," ",0,"-A*a**3*b*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + A*a**3*b*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 6*A*a**2*b*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - A*a**2*sqrt(a + b*x)/x + 4*A*a*b*sqrt(a + b*x) + A*b**2*Piecewise((sqrt(a)*x, Eq(b, 0)), (2*(a + b*x)**(3/2)/(3*b), True)) + 2*B*a**3*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*B*a**2*sqrt(a + b*x) + 2*B*a*b*Piecewise((sqrt(a)*x, Eq(b, 0)), (2*(a + b*x)**(3/2)/(3*b), True)) - 2*B*a*(a + b*x)**(3/2)/3 + 2*B*(a + b*x)**(5/2)/5","A",0
417,1,488,0,81.709049," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**3,x)","- \frac{10 A a^{4} b^{2} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{6 A a^{3} b^{2} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 A a^{3} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 A a^{3} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 A a^{2} b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{3 A a^{2} b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{6 A a b^{2} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{3 A a b \sqrt{a + b x}}{x} + 2 A b^{2} \sqrt{a + b x} - \frac{B a^{3} b \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{B a^{3} b \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{6 B a^{2} b \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{B a^{2} \sqrt{a + b x}}{x} + 4 B a b \sqrt{a + b x} + B b^{2} \left(\begin{cases} \sqrt{a} x & \text{for}\: b = 0 \\\frac{2 \left(a + b x\right)^{\frac{3}{2}}}{3 b} & \text{otherwise} \end{cases}\right)"," ",0,"-10*A*a**4*b**2*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 6*A*a**3*b**2*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*A*a**3*b**2*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*A*a**3*b**2*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*A*a**2*b**2*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 3*A*a**2*b**2*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 6*A*a*b**2*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - 3*A*a*b*sqrt(a + b*x)/x + 2*A*b**2*sqrt(a + b*x) - B*a**3*b*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + B*a**3*b*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 6*B*a**2*b*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - B*a**2*sqrt(a + b*x)/x + 4*B*a*b*sqrt(a + b*x) + B*b**2*Piecewise((sqrt(a)*x, Eq(b, 0)), (2*(a + b*x)**(3/2)/(3*b), True))","A",0
418,1,877,0,132.736313," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**4,x)","- \frac{66 A a^{5} b^{3} \sqrt{a + b x}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} + \frac{80 A a^{4} b^{3} \left(a + b x\right)^{\frac{3}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{30 A a^{3} b^{3} \left(a + b x\right)^{\frac{5}{2}}}{96 a^{6} + 144 a^{5} b x - 144 a^{4} \left(a + b x\right)^{2} + 48 a^{3} \left(a + b x\right)^{3}} - \frac{30 A a^{3} b^{3} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} - \frac{5 A a^{3} b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(- a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{5 A a^{3} b^{3} \sqrt{\frac{1}{a^{7}}} \log{\left(a^{4} \sqrt{\frac{1}{a^{7}}} + \sqrt{a + b x} \right)}}{16} + \frac{18 A a^{2} b^{3} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{9 A a^{2} b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{9 A a^{2} b^{3} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 A a b^{3} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{3 A a b^{3} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{2 A b^{3} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{3 A b^{2} \sqrt{a + b x}}{x} - \frac{10 B a^{4} b^{2} \sqrt{a + b x}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{6 B a^{3} b^{2} \left(a + b x\right)^{\frac{3}{2}}}{- 8 a^{4} - 16 a^{3} b x + 8 a^{2} \left(a + b x\right)^{2}} + \frac{3 B a^{3} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(- a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 B a^{3} b^{2} \sqrt{\frac{1}{a^{5}}} \log{\left(a^{3} \sqrt{\frac{1}{a^{5}}} + \sqrt{a + b x} \right)}}{8} - \frac{3 B a^{2} b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(- a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{3 B a^{2} b^{2} \sqrt{\frac{1}{a^{3}}} \log{\left(a^{2} \sqrt{\frac{1}{a^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{6 B a b^{2} \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} - \frac{3 B a b \sqrt{a + b x}}{x} + 2 B b^{2} \sqrt{a + b x}"," ",0,"-66*A*a**5*b**3*sqrt(a + b*x)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) + 80*A*a**4*b**3*(a + b*x)**(3/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 30*A*a**3*b**3*(a + b*x)**(5/2)/(96*a**6 + 144*a**5*b*x - 144*a**4*(a + b*x)**2 + 48*a**3*(a + b*x)**3) - 30*A*a**3*b**3*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) - 5*A*a**3*b**3*sqrt(a**(-7))*log(-a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 5*A*a**3*b**3*sqrt(a**(-7))*log(a**4*sqrt(a**(-7)) + sqrt(a + b*x))/16 + 18*A*a**2*b**3*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 9*A*a**2*b**3*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 9*A*a**2*b**3*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*A*a*b**3*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 3*A*a*b**3*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 2*A*b**3*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - 3*A*b**2*sqrt(a + b*x)/x - 10*B*a**4*b**2*sqrt(a + b*x)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 6*B*a**3*b**2*(a + b*x)**(3/2)/(-8*a**4 - 16*a**3*b*x + 8*a**2*(a + b*x)**2) + 3*B*a**3*b**2*sqrt(a**(-5))*log(-a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*B*a**3*b**2*sqrt(a**(-5))*log(a**3*sqrt(a**(-5)) + sqrt(a + b*x))/8 - 3*B*a**2*b**2*sqrt(a**(-3))*log(-a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 3*B*a**2*b**2*sqrt(a**(-3))*log(a**2*sqrt(a**(-3)) + sqrt(a + b*x))/2 + 6*B*a*b**2*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) - 3*B*a*b*sqrt(a + b*x)/x + 2*B*b**2*sqrt(a + b*x)","B",0
419,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
420,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
421,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
422,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
423,1,362,0,43.156754," ","integrate(x**4*(B*x+A)/(b*x+a)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a \left(\frac{a^{4}}{\sqrt{a + b x}} + 4 a^{3} \sqrt{a + b x} - 2 a^{2} \left(a + b x\right)^{\frac{3}{2}} + \frac{4 a \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{\left(a + b x\right)^{\frac{7}{2}}}{7}\right)}{b^{4}} - \frac{2 A \left(- \frac{a^{5}}{\sqrt{a + b x}} - 5 a^{4} \sqrt{a + b x} + \frac{10 a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} - 2 a^{2} \left(a + b x\right)^{\frac{5}{2}} + \frac{5 a \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{4}} - \frac{2 B a \left(- \frac{a^{5}}{\sqrt{a + b x}} - 5 a^{4} \sqrt{a + b x} + \frac{10 a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} - 2 a^{2} \left(a + b x\right)^{\frac{5}{2}} + \frac{5 a \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{5}} - \frac{2 B \left(\frac{a^{6}}{\sqrt{a + b x}} + 6 a^{5} \sqrt{a + b x} - 5 a^{4} \left(a + b x\right)^{\frac{3}{2}} + 4 a^{3} \left(a + b x\right)^{\frac{5}{2}} - \frac{15 a^{2} \left(a + b x\right)^{\frac{7}{2}}}{7} + \frac{2 a \left(a + b x\right)^{\frac{9}{2}}}{3} - \frac{\left(a + b x\right)^{\frac{11}{2}}}{11}\right)}{b^{5}}}{b} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{5}}{5} + \frac{B x^{6}}{6}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a*(a**4/sqrt(a + b*x) + 4*a**3*sqrt(a + b*x) - 2*a**2*(a + b*x)**(3/2) + 4*a*(a + b*x)**(5/2)/5 - (a + b*x)**(7/2)/7)/b**4 - 2*A*(-a**5/sqrt(a + b*x) - 5*a**4*sqrt(a + b*x) + 10*a**3*(a + b*x)**(3/2)/3 - 2*a**2*(a + b*x)**(5/2) + 5*a*(a + b*x)**(7/2)/7 - (a + b*x)**(9/2)/9)/b**4 - 2*B*a*(-a**5/sqrt(a + b*x) - 5*a**4*sqrt(a + b*x) + 10*a**3*(a + b*x)**(3/2)/3 - 2*a**2*(a + b*x)**(5/2) + 5*a*(a + b*x)**(7/2)/7 - (a + b*x)**(9/2)/9)/b**5 - 2*B*(a**6/sqrt(a + b*x) + 6*a**5*sqrt(a + b*x) - 5*a**4*(a + b*x)**(3/2) + 4*a**3*(a + b*x)**(5/2) - 15*a**2*(a + b*x)**(7/2)/7 + 2*a*(a + b*x)**(9/2)/3 - (a + b*x)**(11/2)/11)/b**5)/b, Ne(b, 0)), ((A*x**5/5 + B*x**6/6)/sqrt(a), True))","A",0
424,1,301,0,35.933476," ","integrate(x**3*(B*x+A)/(b*x+a)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a \left(- \frac{a^{3}}{\sqrt{a + b x}} - 3 a^{2} \sqrt{a + b x} + a \left(a + b x\right)^{\frac{3}{2}} - \frac{\left(a + b x\right)^{\frac{5}{2}}}{5}\right)}{b^{3}} - \frac{2 A \left(\frac{a^{4}}{\sqrt{a + b x}} + 4 a^{3} \sqrt{a + b x} - 2 a^{2} \left(a + b x\right)^{\frac{3}{2}} + \frac{4 a \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{\left(a + b x\right)^{\frac{7}{2}}}{7}\right)}{b^{3}} - \frac{2 B a \left(\frac{a^{4}}{\sqrt{a + b x}} + 4 a^{3} \sqrt{a + b x} - 2 a^{2} \left(a + b x\right)^{\frac{3}{2}} + \frac{4 a \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{\left(a + b x\right)^{\frac{7}{2}}}{7}\right)}{b^{4}} - \frac{2 B \left(- \frac{a^{5}}{\sqrt{a + b x}} - 5 a^{4} \sqrt{a + b x} + \frac{10 a^{3} \left(a + b x\right)^{\frac{3}{2}}}{3} - 2 a^{2} \left(a + b x\right)^{\frac{5}{2}} + \frac{5 a \left(a + b x\right)^{\frac{7}{2}}}{7} - \frac{\left(a + b x\right)^{\frac{9}{2}}}{9}\right)}{b^{4}}}{b} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{4}}{4} + \frac{B x^{5}}{5}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a*(-a**3/sqrt(a + b*x) - 3*a**2*sqrt(a + b*x) + a*(a + b*x)**(3/2) - (a + b*x)**(5/2)/5)/b**3 - 2*A*(a**4/sqrt(a + b*x) + 4*a**3*sqrt(a + b*x) - 2*a**2*(a + b*x)**(3/2) + 4*a*(a + b*x)**(5/2)/5 - (a + b*x)**(7/2)/7)/b**3 - 2*B*a*(a**4/sqrt(a + b*x) + 4*a**3*sqrt(a + b*x) - 2*a**2*(a + b*x)**(3/2) + 4*a*(a + b*x)**(5/2)/5 - (a + b*x)**(7/2)/7)/b**4 - 2*B*(-a**5/sqrt(a + b*x) - 5*a**4*sqrt(a + b*x) + 10*a**3*(a + b*x)**(3/2)/3 - 2*a**2*(a + b*x)**(5/2) + 5*a*(a + b*x)**(7/2)/7 - (a + b*x)**(9/2)/9)/b**4)/b, Ne(b, 0)), ((A*x**4/4 + B*x**5/5)/sqrt(a), True))","A",0
425,1,240,0,29.029351," ","integrate(x**2*(B*x+A)/(b*x+a)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a \left(\frac{a^{2}}{\sqrt{a + b x}} + 2 a \sqrt{a + b x} - \frac{\left(a + b x\right)^{\frac{3}{2}}}{3}\right)}{b^{2}} - \frac{2 A \left(- \frac{a^{3}}{\sqrt{a + b x}} - 3 a^{2} \sqrt{a + b x} + a \left(a + b x\right)^{\frac{3}{2}} - \frac{\left(a + b x\right)^{\frac{5}{2}}}{5}\right)}{b^{2}} - \frac{2 B a \left(- \frac{a^{3}}{\sqrt{a + b x}} - 3 a^{2} \sqrt{a + b x} + a \left(a + b x\right)^{\frac{3}{2}} - \frac{\left(a + b x\right)^{\frac{5}{2}}}{5}\right)}{b^{3}} - \frac{2 B \left(\frac{a^{4}}{\sqrt{a + b x}} + 4 a^{3} \sqrt{a + b x} - 2 a^{2} \left(a + b x\right)^{\frac{3}{2}} + \frac{4 a \left(a + b x\right)^{\frac{5}{2}}}{5} - \frac{\left(a + b x\right)^{\frac{7}{2}}}{7}\right)}{b^{3}}}{b} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{3}}{3} + \frac{B x^{4}}{4}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a*(a**2/sqrt(a + b*x) + 2*a*sqrt(a + b*x) - (a + b*x)**(3/2)/3)/b**2 - 2*A*(-a**3/sqrt(a + b*x) - 3*a**2*sqrt(a + b*x) + a*(a + b*x)**(3/2) - (a + b*x)**(5/2)/5)/b**2 - 2*B*a*(-a**3/sqrt(a + b*x) - 3*a**2*sqrt(a + b*x) + a*(a + b*x)**(3/2) - (a + b*x)**(5/2)/5)/b**3 - 2*B*(a**4/sqrt(a + b*x) + 4*a**3*sqrt(a + b*x) - 2*a**2*(a + b*x)**(3/2) + 4*a*(a + b*x)**(5/2)/5 - (a + b*x)**(7/2)/7)/b**3)/b, Ne(b, 0)), ((A*x**3/3 + B*x**4/4)/sqrt(a), True))","A",0
426,1,182,0,19.471520," ","integrate(x*(B*x+A)/(b*x+a)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a \left(- \frac{a}{\sqrt{a + b x}} - \sqrt{a + b x}\right)}{b} - \frac{2 A \left(\frac{a^{2}}{\sqrt{a + b x}} + 2 a \sqrt{a + b x} - \frac{\left(a + b x\right)^{\frac{3}{2}}}{3}\right)}{b} - \frac{2 B a \left(\frac{a^{2}}{\sqrt{a + b x}} + 2 a \sqrt{a + b x} - \frac{\left(a + b x\right)^{\frac{3}{2}}}{3}\right)}{b^{2}} - \frac{2 B \left(- \frac{a^{3}}{\sqrt{a + b x}} - 3 a^{2} \sqrt{a + b x} + a \left(a + b x\right)^{\frac{3}{2}} - \frac{\left(a + b x\right)^{\frac{5}{2}}}{5}\right)}{b^{2}}}{b} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{2}}{2} + \frac{B x^{3}}{3}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a*(-a/sqrt(a + b*x) - sqrt(a + b*x))/b - 2*A*(a**2/sqrt(a + b*x) + 2*a*sqrt(a + b*x) - (a + b*x)**(3/2)/3)/b - 2*B*a*(a**2/sqrt(a + b*x) + 2*a*sqrt(a + b*x) - (a + b*x)**(3/2)/3)/b**2 - 2*B*(-a**3/sqrt(a + b*x) - 3*a**2*sqrt(a + b*x) + a*(a + b*x)**(3/2) - (a + b*x)**(5/2)/5)/b**2)/b, Ne(b, 0)), ((A*x**2/2 + B*x**3/3)/sqrt(a), True))","A",0
427,1,121,0,4.624684," ","integrate((B*x+A)/(b*x+a)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a}{\sqrt{a + b x}} - 2 A \left(- \frac{a}{\sqrt{a + b x}} - \sqrt{a + b x}\right) - \frac{2 B a \left(- \frac{a}{\sqrt{a + b x}} - \sqrt{a + b x}\right)}{b} - \frac{2 B \left(\frac{a^{2}}{\sqrt{a + b x}} + 2 a \sqrt{a + b x} - \frac{\left(a + b x\right)^{\frac{3}{2}}}{3}\right)}{b}}{b} & \text{for}\: b \neq 0 \\\frac{A x + \frac{B x^{2}}{2}}{\sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a/sqrt(a + b*x) - 2*A*(-a/sqrt(a + b*x) - sqrt(a + b*x)) - 2*B*a*(-a/sqrt(a + b*x) - sqrt(a + b*x))/b - 2*B*(a**2/sqrt(a + b*x) + 2*a*sqrt(a + b*x) - (a + b*x)**(3/2)/3)/b)/b, Ne(b, 0)), ((A*x + B*x**2/2)/sqrt(a), True))","A",0
428,1,56,0,7.766710," ","integrate((B*x+A)/x/(b*x+a)**(1/2),x)","\frac{2 A \operatorname{atan}{\left(\frac{1}{\sqrt{- \frac{1}{a}} \sqrt{a + b x}} \right)}}{a \sqrt{- \frac{1}{a}}} - B \left(\begin{cases} - \frac{x}{\sqrt{a}} & \text{for}\: b = 0 \\- \frac{2 \sqrt{a + b x}}{b} & \text{otherwise} \end{cases}\right)"," ",0,"2*A*atan(1/(sqrt(-1/a)*sqrt(a + b*x)))/(a*sqrt(-1/a)) - B*Piecewise((-x/sqrt(a), Eq(b, 0)), (-2*sqrt(a + b*x)/b, True))","A",0
429,1,82,0,27.860588," ","integrate((B*x+A)/x**2/(b*x+a)**(1/2),x)","- \frac{A \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{a \sqrt{x}} + \frac{A b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{a^{\frac{3}{2}}} + \frac{2 B \operatorname{atan}{\left(\frac{1}{\sqrt{- \frac{1}{a}} \sqrt{a + b x}} \right)}}{a \sqrt{- \frac{1}{a}}}"," ",0,"-A*sqrt(b)*sqrt(a/(b*x) + 1)/(a*sqrt(x)) + A*b*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/a**(3/2) + 2*B*atan(1/(sqrt(-1/a)*sqrt(a + b*x)))/(a*sqrt(-1/a))","A",0
430,1,156,0,65.160773," ","integrate((B*x+A)/x**3/(b*x+a)**(1/2),x)","- \frac{A}{2 \sqrt{b} x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{A \sqrt{b}}{4 a x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{3 A b^{\frac{3}{2}}}{4 a^{2} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} - \frac{3 A b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{4 a^{\frac{5}{2}}} - \frac{B \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{a \sqrt{x}} + \frac{B b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{a^{\frac{3}{2}}}"," ",0,"-A/(2*sqrt(b)*x**(5/2)*sqrt(a/(b*x) + 1)) + A*sqrt(b)/(4*a*x**(3/2)*sqrt(a/(b*x) + 1)) + 3*A*b**(3/2)/(4*a**2*sqrt(x)*sqrt(a/(b*x) + 1)) - 3*A*b**2*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(4*a**(5/2)) - B*sqrt(b)*sqrt(a/(b*x) + 1)/(a*sqrt(x)) + B*b*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/a**(3/2)","B",0
431,1,245,0,108.131213," ","integrate((B*x+A)/x**4/(b*x+a)**(1/2),x)","- \frac{A}{3 \sqrt{b} x^{\frac{7}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{A \sqrt{b}}{12 a x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{5 A b^{\frac{3}{2}}}{24 a^{2} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{5 A b^{\frac{5}{2}}}{8 a^{3} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} + \frac{5 A b^{3} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{8 a^{\frac{7}{2}}} - \frac{B}{2 \sqrt{b} x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{B \sqrt{b}}{4 a x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{3 B b^{\frac{3}{2}}}{4 a^{2} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} - \frac{3 B b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{4 a^{\frac{5}{2}}}"," ",0,"-A/(3*sqrt(b)*x**(7/2)*sqrt(a/(b*x) + 1)) + A*sqrt(b)/(12*a*x**(5/2)*sqrt(a/(b*x) + 1)) - 5*A*b**(3/2)/(24*a**2*x**(3/2)*sqrt(a/(b*x) + 1)) - 5*A*b**(5/2)/(8*a**3*sqrt(x)*sqrt(a/(b*x) + 1)) + 5*A*b**3*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(8*a**(7/2)) - B/(2*sqrt(b)*x**(5/2)*sqrt(a/(b*x) + 1)) + B*sqrt(b)/(4*a*x**(3/2)*sqrt(a/(b*x) + 1)) + 3*B*b**(3/2)/(4*a**2*sqrt(x)*sqrt(a/(b*x) + 1)) - 3*B*b**2*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(4*a**(5/2))","B",0
432,1,303,0,164.728751," ","integrate((B*x+A)/x**5/(b*x+a)**(1/2),x)","- \frac{A}{4 \sqrt{b} x^{\frac{9}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{A \sqrt{b}}{24 a x^{\frac{7}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{7 A b^{\frac{3}{2}}}{96 a^{2} x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{35 A b^{\frac{5}{2}}}{192 a^{3} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{35 A b^{\frac{7}{2}}}{64 a^{4} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} - \frac{35 A b^{4} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{64 a^{\frac{9}{2}}} - \frac{B}{3 \sqrt{b} x^{\frac{7}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{B \sqrt{b}}{12 a x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{5 B b^{\frac{3}{2}}}{24 a^{2} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{5 B b^{\frac{5}{2}}}{8 a^{3} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} + \frac{5 B b^{3} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{8 a^{\frac{7}{2}}}"," ",0,"-A/(4*sqrt(b)*x**(9/2)*sqrt(a/(b*x) + 1)) + A*sqrt(b)/(24*a*x**(7/2)*sqrt(a/(b*x) + 1)) - 7*A*b**(3/2)/(96*a**2*x**(5/2)*sqrt(a/(b*x) + 1)) + 35*A*b**(5/2)/(192*a**3*x**(3/2)*sqrt(a/(b*x) + 1)) + 35*A*b**(7/2)/(64*a**4*sqrt(x)*sqrt(a/(b*x) + 1)) - 35*A*b**4*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(64*a**(9/2)) - B/(3*sqrt(b)*x**(7/2)*sqrt(a/(b*x) + 1)) + B*sqrt(b)/(12*a*x**(5/2)*sqrt(a/(b*x) + 1)) - 5*B*b**(3/2)/(24*a**2*x**(3/2)*sqrt(a/(b*x) + 1)) - 5*B*b**(5/2)/(8*a**3*sqrt(x)*sqrt(a/(b*x) + 1)) + 5*B*b**3*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(8*a**(7/2))","B",0
433,-1,0,0,0.000000," ","integrate((B*x+A)/x**6/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
434,1,146,0,18.895861," ","integrate(x**4*(B*x+A)/(b*x+a)**(3/2),x)","\frac{2 B \left(a + b x\right)^{\frac{9}{2}}}{9 b^{6}} + \frac{2 a^{4} \left(- A b + B a\right)}{b^{6} \sqrt{a + b x}} + \frac{\left(a + b x\right)^{\frac{7}{2}} \left(2 A b - 10 B a\right)}{7 b^{6}} + \frac{\left(a + b x\right)^{\frac{5}{2}} \left(- 8 A a b + 20 B a^{2}\right)}{5 b^{6}} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(12 A a^{2} b - 20 B a^{3}\right)}{3 b^{6}} + \frac{\sqrt{a + b x} \left(- 8 A a^{3} b + 10 B a^{4}\right)}{b^{6}}"," ",0,"2*B*(a + b*x)**(9/2)/(9*b**6) + 2*a**4*(-A*b + B*a)/(b**6*sqrt(a + b*x)) + (a + b*x)**(7/2)*(2*A*b - 10*B*a)/(7*b**6) + (a + b*x)**(5/2)*(-8*A*a*b + 20*B*a**2)/(5*b**6) + (a + b*x)**(3/2)*(12*A*a**2*b - 20*B*a**3)/(3*b**6) + sqrt(a + b*x)*(-8*A*a**3*b + 10*B*a**4)/b**6","A",0
435,1,117,0,15.918567," ","integrate(x**3*(B*x+A)/(b*x+a)**(3/2),x)","\frac{2 B \left(a + b x\right)^{\frac{7}{2}}}{7 b^{5}} - \frac{2 a^{3} \left(- A b + B a\right)}{b^{5} \sqrt{a + b x}} + \frac{\left(a + b x\right)^{\frac{5}{2}} \left(2 A b - 8 B a\right)}{5 b^{5}} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(- 6 A a b + 12 B a^{2}\right)}{3 b^{5}} + \frac{\sqrt{a + b x} \left(6 A a^{2} b - 8 B a^{3}\right)}{b^{5}}"," ",0,"2*B*(a + b*x)**(7/2)/(7*b**5) - 2*a**3*(-A*b + B*a)/(b**5*sqrt(a + b*x)) + (a + b*x)**(5/2)*(2*A*b - 8*B*a)/(5*b**5) + (a + b*x)**(3/2)*(-6*A*a*b + 12*B*a**2)/(3*b**5) + sqrt(a + b*x)*(6*A*a**2*b - 8*B*a**3)/b**5","A",0
436,1,88,0,12.757257," ","integrate(x**2*(B*x+A)/(b*x+a)**(3/2),x)","\frac{2 B \left(a + b x\right)^{\frac{5}{2}}}{5 b^{4}} + \frac{2 a^{2} \left(- A b + B a\right)}{b^{4} \sqrt{a + b x}} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(2 A b - 6 B a\right)}{3 b^{4}} + \frac{\sqrt{a + b x} \left(- 4 A a b + 6 B a^{2}\right)}{b^{4}}"," ",0,"2*B*(a + b*x)**(5/2)/(5*b**4) + 2*a**2*(-A*b + B*a)/(b**4*sqrt(a + b*x)) + (a + b*x)**(3/2)*(2*A*b - 6*B*a)/(3*b**4) + sqrt(a + b*x)*(-4*A*a*b + 6*B*a**2)/b**4","A",0
437,1,60,0,10.128238," ","integrate(x*(B*x+A)/(b*x+a)**(3/2),x)","\frac{2 B \left(a + b x\right)^{\frac{3}{2}}}{3 b^{3}} - \frac{2 a \left(- A b + B a\right)}{b^{3} \sqrt{a + b x}} + \frac{\sqrt{a + b x} \left(2 A b - 4 B a\right)}{b^{3}}"," ",0,"2*B*(a + b*x)**(3/2)/(3*b**3) - 2*a*(-A*b + B*a)/(b**3*sqrt(a + b*x)) + sqrt(a + b*x)*(2*A*b - 4*B*a)/b**3","A",0
438,1,60,0,0.624469," ","integrate((B*x+A)/(b*x+a)**(3/2),x)","\begin{cases} - \frac{2 A}{b \sqrt{a + b x}} + \frac{4 B a}{b^{2} \sqrt{a + b x}} + \frac{2 B x}{b \sqrt{a + b x}} & \text{for}\: b \neq 0 \\\frac{A x + \frac{B x^{2}}{2}}{a^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*A/(b*sqrt(a + b*x)) + 4*B*a/(b**2*sqrt(a + b*x)) + 2*B*x/(b*sqrt(a + b*x)), Ne(b, 0)), ((A*x + B*x**2/2)/a**(3/2), True))","A",0
439,1,49,0,17.878736," ","integrate((B*x+A)/x/(b*x+a)**(3/2),x)","\frac{2 A \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{a \sqrt{- a}} - \frac{2 \left(- A b + B a\right)}{a b \sqrt{a + b x}}"," ",0,"2*A*atan(sqrt(a + b*x)/sqrt(-a))/(a*sqrt(-a)) - 2*(-A*b + B*a)/(a*b*sqrt(a + b*x))","A",0
440,1,224,0,48.218985," ","integrate((B*x+A)/x**2/(b*x+a)**(3/2),x)","A \left(- \frac{1}{a \sqrt{b} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{3 \sqrt{b}}{a^{2} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} + \frac{3 b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{a^{\frac{5}{2}}}\right) + B \left(\frac{2 a^{3} \sqrt{1 + \frac{b x}{a}}}{a^{\frac{9}{2}} + a^{\frac{7}{2}} b x} + \frac{a^{3} \log{\left(\frac{b x}{a} \right)}}{a^{\frac{9}{2}} + a^{\frac{7}{2}} b x} - \frac{2 a^{3} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{a^{\frac{9}{2}} + a^{\frac{7}{2}} b x} + \frac{a^{2} b x \log{\left(\frac{b x}{a} \right)}}{a^{\frac{9}{2}} + a^{\frac{7}{2}} b x} - \frac{2 a^{2} b x \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{a^{\frac{9}{2}} + a^{\frac{7}{2}} b x}\right)"," ",0,"A*(-1/(a*sqrt(b)*x**(3/2)*sqrt(a/(b*x) + 1)) - 3*sqrt(b)/(a**2*sqrt(x)*sqrt(a/(b*x) + 1)) + 3*b*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/a**(5/2)) + B*(2*a**3*sqrt(1 + b*x/a)/(a**(9/2) + a**(7/2)*b*x) + a**3*log(b*x/a)/(a**(9/2) + a**(7/2)*b*x) - 2*a**3*log(sqrt(1 + b*x/a) + 1)/(a**(9/2) + a**(7/2)*b*x) + a**2*b*x*log(b*x/a)/(a**(9/2) + a**(7/2)*b*x) - 2*a**2*b*x*log(sqrt(1 + b*x/a) + 1)/(a**(9/2) + a**(7/2)*b*x))","B",0
441,1,185,0,102.537508," ","integrate((B*x+A)/x**3/(b*x+a)**(3/2),x)","A \left(- \frac{1}{2 a \sqrt{b} x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{5 \sqrt{b}}{4 a^{2} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{15 b^{\frac{3}{2}}}{4 a^{3} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} - \frac{15 b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{4 a^{\frac{7}{2}}}\right) + B \left(- \frac{1}{a \sqrt{b} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{3 \sqrt{b}}{a^{2} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} + \frac{3 b \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{a^{\frac{5}{2}}}\right)"," ",0,"A*(-1/(2*a*sqrt(b)*x**(5/2)*sqrt(a/(b*x) + 1)) + 5*sqrt(b)/(4*a**2*x**(3/2)*sqrt(a/(b*x) + 1)) + 15*b**(3/2)/(4*a**3*sqrt(x)*sqrt(a/(b*x) + 1)) - 15*b**2*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(4*a**(7/2))) + B*(-1/(a*sqrt(b)*x**(3/2)*sqrt(a/(b*x) + 1)) - 3*sqrt(b)/(a**2*sqrt(x)*sqrt(a/(b*x) + 1)) + 3*b*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/a**(5/2))","A",0
442,1,246,0,167.305319," ","integrate((B*x+A)/x**4/(b*x+a)**(3/2),x)","A \left(- \frac{1}{3 a \sqrt{b} x^{\frac{7}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{7 \sqrt{b}}{12 a^{2} x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{35 b^{\frac{3}{2}}}{24 a^{3} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{35 b^{\frac{5}{2}}}{8 a^{4} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} + \frac{35 b^{3} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{8 a^{\frac{9}{2}}}\right) + B \left(- \frac{1}{2 a \sqrt{b} x^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{5 \sqrt{b}}{4 a^{2} x^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{15 b^{\frac{3}{2}}}{4 a^{3} \sqrt{x} \sqrt{\frac{a}{b x} + 1}} - \frac{15 b^{2} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{4 a^{\frac{7}{2}}}\right)"," ",0,"A*(-1/(3*a*sqrt(b)*x**(7/2)*sqrt(a/(b*x) + 1)) + 7*sqrt(b)/(12*a**2*x**(5/2)*sqrt(a/(b*x) + 1)) - 35*b**(3/2)/(24*a**3*x**(3/2)*sqrt(a/(b*x) + 1)) - 35*b**(5/2)/(8*a**4*sqrt(x)*sqrt(a/(b*x) + 1)) + 35*b**3*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(8*a**(9/2))) + B*(-1/(2*a*sqrt(b)*x**(5/2)*sqrt(a/(b*x) + 1)) + 5*sqrt(b)/(4*a**2*x**(3/2)*sqrt(a/(b*x) + 1)) + 15*b**(3/2)/(4*a**3*sqrt(x)*sqrt(a/(b*x) + 1)) - 15*b**2*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(4*a**(7/2)))","A",0
443,-1,0,0,0.000000," ","integrate((B*x+A)/x**5/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
444,1,146,0,20.514539," ","integrate(x**4*(B*x+A)/(b*x+a)**(5/2),x)","\frac{2 B \left(a + b x\right)^{\frac{7}{2}}}{7 b^{6}} + \frac{2 a^{4} \left(- A b + B a\right)}{3 b^{6} \left(a + b x\right)^{\frac{3}{2}}} - \frac{2 a^{3} \left(- 4 A b + 5 B a\right)}{b^{6} \sqrt{a + b x}} + \frac{\left(a + b x\right)^{\frac{5}{2}} \left(2 A b - 10 B a\right)}{5 b^{6}} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(- 8 A a b + 20 B a^{2}\right)}{3 b^{6}} + \frac{\sqrt{a + b x} \left(12 A a^{2} b - 20 B a^{3}\right)}{b^{6}}"," ",0,"2*B*(a + b*x)**(7/2)/(7*b**6) + 2*a**4*(-A*b + B*a)/(3*b**6*(a + b*x)**(3/2)) - 2*a**3*(-4*A*b + 5*B*a)/(b**6*sqrt(a + b*x)) + (a + b*x)**(5/2)*(2*A*b - 10*B*a)/(5*b**6) + (a + b*x)**(3/2)*(-8*A*a*b + 20*B*a**2)/(3*b**6) + sqrt(a + b*x)*(12*A*a**2*b - 20*B*a**3)/b**6","A",0
445,1,117,0,17.612793," ","integrate(x**3*(B*x+A)/(b*x+a)**(5/2),x)","\frac{2 B \left(a + b x\right)^{\frac{5}{2}}}{5 b^{5}} - \frac{2 a^{3} \left(- A b + B a\right)}{3 b^{5} \left(a + b x\right)^{\frac{3}{2}}} + \frac{2 a^{2} \left(- 3 A b + 4 B a\right)}{b^{5} \sqrt{a + b x}} + \frac{\left(a + b x\right)^{\frac{3}{2}} \left(2 A b - 8 B a\right)}{3 b^{5}} + \frac{\sqrt{a + b x} \left(- 6 A a b + 12 B a^{2}\right)}{b^{5}}"," ",0,"2*B*(a + b*x)**(5/2)/(5*b**5) - 2*a**3*(-A*b + B*a)/(3*b**5*(a + b*x)**(3/2)) + 2*a**2*(-3*A*b + 4*B*a)/(b**5*sqrt(a + b*x)) + (a + b*x)**(3/2)*(2*A*b - 8*B*a)/(3*b**5) + sqrt(a + b*x)*(-6*A*a*b + 12*B*a**2)/b**5","A",0
446,1,299,0,1.324252," ","integrate(x**2*(B*x+A)/(b*x+a)**(5/2),x)","\begin{cases} \frac{16 A a^{2} b}{3 a b^{4} \sqrt{a + b x} + 3 b^{5} x \sqrt{a + b x}} + \frac{24 A a b^{2} x}{3 a b^{4} \sqrt{a + b x} + 3 b^{5} x \sqrt{a + b x}} + \frac{6 A b^{3} x^{2}}{3 a b^{4} \sqrt{a + b x} + 3 b^{5} x \sqrt{a + b x}} - \frac{32 B a^{3}}{3 a b^{4} \sqrt{a + b x} + 3 b^{5} x \sqrt{a + b x}} - \frac{48 B a^{2} b x}{3 a b^{4} \sqrt{a + b x} + 3 b^{5} x \sqrt{a + b x}} - \frac{12 B a b^{2} x^{2}}{3 a b^{4} \sqrt{a + b x} + 3 b^{5} x \sqrt{a + b x}} + \frac{2 B b^{3} x^{3}}{3 a b^{4} \sqrt{a + b x} + 3 b^{5} x \sqrt{a + b x}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{3}}{3} + \frac{B x^{4}}{4}}{a^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*A*a**2*b/(3*a*b**4*sqrt(a + b*x) + 3*b**5*x*sqrt(a + b*x)) + 24*A*a*b**2*x/(3*a*b**4*sqrt(a + b*x) + 3*b**5*x*sqrt(a + b*x)) + 6*A*b**3*x**2/(3*a*b**4*sqrt(a + b*x) + 3*b**5*x*sqrt(a + b*x)) - 32*B*a**3/(3*a*b**4*sqrt(a + b*x) + 3*b**5*x*sqrt(a + b*x)) - 48*B*a**2*b*x/(3*a*b**4*sqrt(a + b*x) + 3*b**5*x*sqrt(a + b*x)) - 12*B*a*b**2*x**2/(3*a*b**4*sqrt(a + b*x) + 3*b**5*x*sqrt(a + b*x)) + 2*B*b**3*x**3/(3*a*b**4*sqrt(a + b*x) + 3*b**5*x*sqrt(a + b*x)), Ne(b, 0)), ((A*x**3/3 + B*x**4/4)/a**(5/2), True))","A",0
447,1,211,0,1.263752," ","integrate(x*(B*x+A)/(b*x+a)**(5/2),x)","\begin{cases} - \frac{4 A a b}{3 a b^{3} \sqrt{a + b x} + 3 b^{4} x \sqrt{a + b x}} - \frac{6 A b^{2} x}{3 a b^{3} \sqrt{a + b x} + 3 b^{4} x \sqrt{a + b x}} + \frac{16 B a^{2}}{3 a b^{3} \sqrt{a + b x} + 3 b^{4} x \sqrt{a + b x}} + \frac{24 B a b x}{3 a b^{3} \sqrt{a + b x} + 3 b^{4} x \sqrt{a + b x}} + \frac{6 B b^{2} x^{2}}{3 a b^{3} \sqrt{a + b x} + 3 b^{4} x \sqrt{a + b x}} & \text{for}\: b \neq 0 \\\frac{\frac{A x^{2}}{2} + \frac{B x^{3}}{3}}{a^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*A*a*b/(3*a*b**3*sqrt(a + b*x) + 3*b**4*x*sqrt(a + b*x)) - 6*A*b**2*x/(3*a*b**3*sqrt(a + b*x) + 3*b**4*x*sqrt(a + b*x)) + 16*B*a**2/(3*a*b**3*sqrt(a + b*x) + 3*b**4*x*sqrt(a + b*x)) + 24*B*a*b*x/(3*a*b**3*sqrt(a + b*x) + 3*b**4*x*sqrt(a + b*x)) + 6*B*b**2*x**2/(3*a*b**3*sqrt(a + b*x) + 3*b**4*x*sqrt(a + b*x)), Ne(b, 0)), ((A*x**2/2 + B*x**3/3)/a**(5/2), True))","A",0
448,1,124,0,1.162063," ","integrate((B*x+A)/(b*x+a)**(5/2),x)","\begin{cases} - \frac{2 A b}{3 a b^{2} \sqrt{a + b x} + 3 b^{3} x \sqrt{a + b x}} - \frac{4 B a}{3 a b^{2} \sqrt{a + b x} + 3 b^{3} x \sqrt{a + b x}} - \frac{6 B b x}{3 a b^{2} \sqrt{a + b x} + 3 b^{3} x \sqrt{a + b x}} & \text{for}\: b \neq 0 \\\frac{A x + \frac{B x^{2}}{2}}{a^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*A*b/(3*a*b**2*sqrt(a + b*x) + 3*b**3*x*sqrt(a + b*x)) - 4*B*a/(3*a*b**2*sqrt(a + b*x) + 3*b**3*x*sqrt(a + b*x)) - 6*B*b*x/(3*a*b**2*sqrt(a + b*x) + 3*b**3*x*sqrt(a + b*x)), Ne(b, 0)), ((A*x + B*x**2/2)/a**(5/2), True))","A",0
449,1,68,0,23.772867," ","integrate((B*x+A)/x/(b*x+a)**(5/2),x)","\frac{2 A}{a^{2} \sqrt{a + b x}} + \frac{2 A \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{a^{2} \sqrt{- a}} - \frac{2 \left(- A b + B a\right)}{3 a b \left(a + b x\right)^{\frac{3}{2}}}"," ",0,"2*A/(a**2*sqrt(a + b*x)) + 2*A*atan(sqrt(a + b*x)/sqrt(-a))/(a**2*sqrt(-a)) - 2*(-A*b + B*a)/(3*a*b*(a + b*x)**(3/2))","A",0
450,1,1520,0,60.632128," ","integrate((B*x+A)/x**2/(b*x+a)**(5/2),x)","A \left(- \frac{6 a^{17} \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{46 a^{16} b x \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{15 a^{16} b x \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{30 a^{16} b x \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{70 a^{15} b^{2} x^{2} \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{45 a^{15} b^{2} x^{2} \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{90 a^{15} b^{2} x^{2} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{30 a^{14} b^{3} x^{3} \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{45 a^{14} b^{3} x^{3} \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{90 a^{14} b^{3} x^{3} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{15 a^{13} b^{4} x^{4} \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{30 a^{13} b^{4} x^{4} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}}\right) + B \left(\frac{8 a^{7} \sqrt{1 + \frac{b x}{a}}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} + \frac{3 a^{7} \log{\left(\frac{b x}{a} \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} - \frac{6 a^{7} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} + \frac{14 a^{6} b x \sqrt{1 + \frac{b x}{a}}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} + \frac{9 a^{6} b x \log{\left(\frac{b x}{a} \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} - \frac{18 a^{6} b x \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} + \frac{6 a^{5} b^{2} x^{2} \sqrt{1 + \frac{b x}{a}}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} + \frac{9 a^{5} b^{2} x^{2} \log{\left(\frac{b x}{a} \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} - \frac{18 a^{5} b^{2} x^{2} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} + \frac{3 a^{4} b^{3} x^{3} \log{\left(\frac{b x}{a} \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}} - \frac{6 a^{4} b^{3} x^{3} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{3 a^{\frac{19}{2}} + 9 a^{\frac{17}{2}} b x + 9 a^{\frac{15}{2}} b^{2} x^{2} + 3 a^{\frac{13}{2}} b^{3} x^{3}}\right)"," ",0,"A*(-6*a**17*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 46*a**16*b*x*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 15*a**16*b*x*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 30*a**16*b*x*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 70*a**15*b**2*x**2*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 45*a**15*b**2*x**2*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 90*a**15*b**2*x**2*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 30*a**14*b**3*x**3*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 45*a**14*b**3*x**3*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 90*a**14*b**3*x**3*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 15*a**13*b**4*x**4*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 30*a**13*b**4*x**4*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4)) + B*(8*a**7*sqrt(1 + b*x/a)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) + 3*a**7*log(b*x/a)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) - 6*a**7*log(sqrt(1 + b*x/a) + 1)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) + 14*a**6*b*x*sqrt(1 + b*x/a)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) + 9*a**6*b*x*log(b*x/a)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) - 18*a**6*b*x*log(sqrt(1 + b*x/a) + 1)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) + 6*a**5*b**2*x**2*sqrt(1 + b*x/a)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) + 9*a**5*b**2*x**2*log(b*x/a)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) - 18*a**5*b**2*x**2*log(sqrt(1 + b*x/a) + 1)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) + 3*a**4*b**3*x**3*log(b*x/a)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3) - 6*a**4*b**3*x**3*log(sqrt(1 + b*x/a) + 1)/(3*a**(19/2) + 9*a**(17/2)*b*x + 9*a**(15/2)*b**2*x**2 + 3*a**(13/2)*b**3*x**3))","B",0
451,1,1287,0,122.384090," ","integrate((B*x+A)/x**3/(b*x+a)**(5/2),x)","A \left(- \frac{6 a^{\frac{89}{2}} b^{75} x^{75}}{12 a^{\frac{93}{2}} b^{\frac{151}{2}} x^{\frac{155}{2}} \sqrt{\frac{a}{b x} + 1} + 12 a^{\frac{91}{2}} b^{\frac{153}{2}} x^{\frac{157}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{21 a^{\frac{87}{2}} b^{76} x^{76}}{12 a^{\frac{93}{2}} b^{\frac{151}{2}} x^{\frac{155}{2}} \sqrt{\frac{a}{b x} + 1} + 12 a^{\frac{91}{2}} b^{\frac{153}{2}} x^{\frac{157}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{140 a^{\frac{85}{2}} b^{77} x^{77}}{12 a^{\frac{93}{2}} b^{\frac{151}{2}} x^{\frac{155}{2}} \sqrt{\frac{a}{b x} + 1} + 12 a^{\frac{91}{2}} b^{\frac{153}{2}} x^{\frac{157}{2}} \sqrt{\frac{a}{b x} + 1}} + \frac{105 a^{\frac{83}{2}} b^{78} x^{78}}{12 a^{\frac{93}{2}} b^{\frac{151}{2}} x^{\frac{155}{2}} \sqrt{\frac{a}{b x} + 1} + 12 a^{\frac{91}{2}} b^{\frac{153}{2}} x^{\frac{157}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{105 a^{42} b^{\frac{155}{2}} x^{\frac{155}{2}} \sqrt{\frac{a}{b x} + 1} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{12 a^{\frac{93}{2}} b^{\frac{151}{2}} x^{\frac{155}{2}} \sqrt{\frac{a}{b x} + 1} + 12 a^{\frac{91}{2}} b^{\frac{153}{2}} x^{\frac{157}{2}} \sqrt{\frac{a}{b x} + 1}} - \frac{105 a^{41} b^{\frac{157}{2}} x^{\frac{157}{2}} \sqrt{\frac{a}{b x} + 1} \operatorname{asinh}{\left(\frac{\sqrt{a}}{\sqrt{b} \sqrt{x}} \right)}}{12 a^{\frac{93}{2}} b^{\frac{151}{2}} x^{\frac{155}{2}} \sqrt{\frac{a}{b x} + 1} + 12 a^{\frac{91}{2}} b^{\frac{153}{2}} x^{\frac{157}{2}} \sqrt{\frac{a}{b x} + 1}}\right) + B \left(- \frac{6 a^{17} \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{46 a^{16} b x \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{15 a^{16} b x \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{30 a^{16} b x \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{70 a^{15} b^{2} x^{2} \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{45 a^{15} b^{2} x^{2} \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{90 a^{15} b^{2} x^{2} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{30 a^{14} b^{3} x^{3} \sqrt{1 + \frac{b x}{a}}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{45 a^{14} b^{3} x^{3} \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{90 a^{14} b^{3} x^{3} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} - \frac{15 a^{13} b^{4} x^{4} \log{\left(\frac{b x}{a} \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}} + \frac{30 a^{13} b^{4} x^{4} \log{\left(\sqrt{1 + \frac{b x}{a}} + 1 \right)}}{6 a^{\frac{39}{2}} x + 18 a^{\frac{37}{2}} b x^{2} + 18 a^{\frac{35}{2}} b^{2} x^{3} + 6 a^{\frac{33}{2}} b^{3} x^{4}}\right)"," ",0,"A*(-6*a**(89/2)*b**75*x**75/(12*a**(93/2)*b**(151/2)*x**(155/2)*sqrt(a/(b*x) + 1) + 12*a**(91/2)*b**(153/2)*x**(157/2)*sqrt(a/(b*x) + 1)) + 21*a**(87/2)*b**76*x**76/(12*a**(93/2)*b**(151/2)*x**(155/2)*sqrt(a/(b*x) + 1) + 12*a**(91/2)*b**(153/2)*x**(157/2)*sqrt(a/(b*x) + 1)) + 140*a**(85/2)*b**77*x**77/(12*a**(93/2)*b**(151/2)*x**(155/2)*sqrt(a/(b*x) + 1) + 12*a**(91/2)*b**(153/2)*x**(157/2)*sqrt(a/(b*x) + 1)) + 105*a**(83/2)*b**78*x**78/(12*a**(93/2)*b**(151/2)*x**(155/2)*sqrt(a/(b*x) + 1) + 12*a**(91/2)*b**(153/2)*x**(157/2)*sqrt(a/(b*x) + 1)) - 105*a**42*b**(155/2)*x**(155/2)*sqrt(a/(b*x) + 1)*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(12*a**(93/2)*b**(151/2)*x**(155/2)*sqrt(a/(b*x) + 1) + 12*a**(91/2)*b**(153/2)*x**(157/2)*sqrt(a/(b*x) + 1)) - 105*a**41*b**(157/2)*x**(157/2)*sqrt(a/(b*x) + 1)*asinh(sqrt(a)/(sqrt(b)*sqrt(x)))/(12*a**(93/2)*b**(151/2)*x**(155/2)*sqrt(a/(b*x) + 1) + 12*a**(91/2)*b**(153/2)*x**(157/2)*sqrt(a/(b*x) + 1))) + B*(-6*a**17*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 46*a**16*b*x*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 15*a**16*b*x*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 30*a**16*b*x*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 70*a**15*b**2*x**2*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 45*a**15*b**2*x**2*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 90*a**15*b**2*x**2*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 30*a**14*b**3*x**3*sqrt(1 + b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 45*a**14*b**3*x**3*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 90*a**14*b**3*x**3*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) - 15*a**13*b**4*x**4*log(b*x/a)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4) + 30*a**13*b**4*x**4*log(sqrt(1 + b*x/a) + 1)/(6*a**(39/2)*x + 18*a**(37/2)*b*x**2 + 18*a**(35/2)*b**2*x**3 + 6*a**(33/2)*b**3*x**4))","B",0
452,-1,0,0,0.000000," ","integrate((B*x+A)/x**4/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
453,-1,0,0,0.000000," ","integrate((B*x+A)/x**5/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
454,1,109,0,92.932663," ","integrate((b*x+a)**2/x**2/(d*x+c)**(1/2),x)","- \frac{a^{2} \sqrt{d} \sqrt{\frac{c}{d x} + 1}}{c \sqrt{x}} + \frac{a^{2} d \operatorname{asinh}{\left(\frac{\sqrt{c}}{\sqrt{d} \sqrt{x}} \right)}}{c^{\frac{3}{2}}} + \frac{4 a b \operatorname{atan}{\left(\frac{1}{\sqrt{- \frac{1}{c}} \sqrt{c + d x}} \right)}}{c \sqrt{- \frac{1}{c}}} + b^{2} \left(\begin{cases} \frac{x}{\sqrt{c}} & \text{for}\: d = 0 \\\frac{2 \sqrt{c + d x}}{d} & \text{otherwise} \end{cases}\right)"," ",0,"-a**2*sqrt(d)*sqrt(c/(d*x) + 1)/(c*sqrt(x)) + a**2*d*asinh(sqrt(c)/(sqrt(d)*sqrt(x)))/c**(3/2) + 4*a*b*atan(1/(sqrt(-1/c)*sqrt(c + d*x)))/(c*sqrt(-1/c)) + b**2*Piecewise((x/sqrt(c), Eq(d, 0)), (2*sqrt(c + d*x)/d, True))","A",0
455,1,228,0,74.580388," ","integrate(x**3*(d*x+c)**(5/2)/(b*x+a),x)","- \frac{2 a^{3} \left(c + d x\right)^{\frac{5}{2}}}{5 b^{4}} + \frac{2 a^{3} \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{b^{7} \sqrt{\frac{a d - b c}{b}}} + \frac{2 \left(c + d x\right)^{\frac{11}{2}}}{11 b d^{3}} + \frac{\left(c + d x\right)^{\frac{9}{2}} \left(- 2 a d - 4 b c\right)}{9 b^{2} d^{3}} + \frac{\left(c + d x\right)^{\frac{7}{2}} \left(2 a^{2} d^{2} + 2 a b c d + 2 b^{2} c^{2}\right)}{7 b^{3} d^{3}} + \frac{\left(c + d x\right)^{\frac{3}{2}} \left(2 a^{4} d - 2 a^{3} b c\right)}{3 b^{5}} + \frac{\sqrt{c + d x} \left(- 2 a^{5} d^{2} + 4 a^{4} b c d - 2 a^{3} b^{2} c^{2}\right)}{b^{6}}"," ",0,"-2*a**3*(c + d*x)**(5/2)/(5*b**4) + 2*a**3*(a*d - b*c)**3*atan(sqrt(c + d*x)/sqrt((a*d - b*c)/b))/(b**7*sqrt((a*d - b*c)/b)) + 2*(c + d*x)**(11/2)/(11*b*d**3) + (c + d*x)**(9/2)*(-2*a*d - 4*b*c)/(9*b**2*d**3) + (c + d*x)**(7/2)*(2*a**2*d**2 + 2*a*b*c*d + 2*b**2*c**2)/(7*b**3*d**3) + (c + d*x)**(3/2)*(2*a**4*d - 2*a**3*b*c)/(3*b**5) + sqrt(c + d*x)*(-2*a**5*d**2 + 4*a**4*b*c*d - 2*a**3*b**2*c**2)/b**6","A",0
456,1,185,0,57.677100," ","integrate(x**2*(d*x+c)**(5/2)/(b*x+a),x)","\frac{2 a^{2} \left(c + d x\right)^{\frac{5}{2}}}{5 b^{3}} - \frac{2 a^{2} \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{b^{6} \sqrt{\frac{a d - b c}{b}}} + \frac{2 \left(c + d x\right)^{\frac{9}{2}}}{9 b d^{2}} + \frac{\left(c + d x\right)^{\frac{7}{2}} \left(- 2 a d - 2 b c\right)}{7 b^{2} d^{2}} + \frac{\left(c + d x\right)^{\frac{3}{2}} \left(- 2 a^{3} d + 2 a^{2} b c\right)}{3 b^{4}} + \frac{\sqrt{c + d x} \left(2 a^{4} d^{2} - 4 a^{3} b c d + 2 a^{2} b^{2} c^{2}\right)}{b^{5}}"," ",0,"2*a**2*(c + d*x)**(5/2)/(5*b**3) - 2*a**2*(a*d - b*c)**3*atan(sqrt(c + d*x)/sqrt((a*d - b*c)/b))/(b**6*sqrt((a*d - b*c)/b)) + 2*(c + d*x)**(9/2)/(9*b*d**2) + (c + d*x)**(7/2)*(-2*a*d - 2*b*c)/(7*b**2*d**2) + (c + d*x)**(3/2)*(-2*a**3*d + 2*a**2*b*c)/(3*b**4) + sqrt(c + d*x)*(2*a**4*d**2 - 4*a**3*b*c*d + 2*a**2*b**2*c**2)/b**5","A",0
457,1,148,0,41.794855," ","integrate(x*(d*x+c)**(5/2)/(b*x+a),x)","- \frac{2 a \left(c + d x\right)^{\frac{5}{2}}}{5 b^{2}} + \frac{2 a \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{b^{5} \sqrt{\frac{a d - b c}{b}}} + \frac{2 \left(c + d x\right)^{\frac{7}{2}}}{7 b d} + \frac{\left(c + d x\right)^{\frac{3}{2}} \left(2 a^{2} d - 2 a b c\right)}{3 b^{3}} + \frac{\sqrt{c + d x} \left(- 2 a^{3} d^{2} + 4 a^{2} b c d - 2 a b^{2} c^{2}\right)}{b^{4}}"," ",0,"-2*a*(c + d*x)**(5/2)/(5*b**2) + 2*a*(a*d - b*c)**3*atan(sqrt(c + d*x)/sqrt((a*d - b*c)/b))/(b**5*sqrt((a*d - b*c)/b)) + 2*(c + d*x)**(7/2)/(7*b*d) + (c + d*x)**(3/2)*(2*a**2*d - 2*a*b*c)/(3*b**3) + sqrt(c + d*x)*(-2*a**3*d**2 + 4*a**2*b*c*d - 2*a*b**2*c**2)/b**4","A",0
458,1,121,0,26.839490," ","integrate((d*x+c)**(5/2)/(b*x+a),x)","\frac{2 \left(c + d x\right)^{\frac{5}{2}}}{5 b} + \frac{\left(c + d x\right)^{\frac{3}{2}} \left(- 2 a d + 2 b c\right)}{3 b^{2}} + \frac{\sqrt{c + d x} \left(2 a^{2} d^{2} - 4 a b c d + 2 b^{2} c^{2}\right)}{b^{3}} - \frac{2 \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{b^{4} \sqrt{\frac{a d - b c}{b}}}"," ",0,"2*(c + d*x)**(5/2)/(5*b) + (c + d*x)**(3/2)*(-2*a*d + 2*b*c)/(3*b**2) + sqrt(c + d*x)*(2*a**2*d**2 - 4*a*b*c*d + 2*b**2*c**2)/b**3 - 2*(a*d - b*c)**3*atan(sqrt(c + d*x)/sqrt((a*d - b*c)/b))/(b**4*sqrt((a*d - b*c)/b))","A",0
459,1,119,0,86.973745," ","integrate((d*x+c)**(5/2)/x/(b*x+a),x)","\frac{2 d \left(c + d x\right)^{\frac{3}{2}}}{3 b} + \frac{\sqrt{c + d x} \left(- 2 a d^{2} + 4 b c d\right)}{b^{2}} + \frac{2 c^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{a \sqrt{- c}} + \frac{2 \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{a b^{3} \sqrt{\frac{a d - b c}{b}}}"," ",0,"2*d*(c + d*x)**(3/2)/(3*b) + sqrt(c + d*x)*(-2*a*d**2 + 4*b*c*d)/b**2 + 2*c**3*atan(sqrt(c + d*x)/sqrt(-c))/(a*sqrt(-c)) + 2*(a*d - b*c)**3*atan(sqrt(c + d*x)/sqrt((a*d - b*c)/b))/(a*b**3*sqrt((a*d - b*c)/b))","A",0
460,1,333,0,108.408643," ","integrate((d*x+c)**(5/2)/x**2/(b*x+a),x)","- \frac{2 a d^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{b^{2} \sqrt{\frac{a d}{b} - c}} + \frac{6 c d^{2} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{b \sqrt{\frac{a d}{b} - c}} + \frac{2 d^{2} \sqrt{c + d x}}{b} - \frac{c^{3} d \sqrt{\frac{1}{c^{3}}} \log{\left(- c^{2} \sqrt{\frac{1}{c^{3}}} + \sqrt{c + d x} \right)}}{2 a} + \frac{c^{3} d \sqrt{\frac{1}{c^{3}}} \log{\left(c^{2} \sqrt{\frac{1}{c^{3}}} + \sqrt{c + d x} \right)}}{2 a} - \frac{6 c^{2} d \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{a \sqrt{\frac{a d}{b} - c}} + \frac{6 c^{2} d \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{a \sqrt{- c}} - \frac{c^{2} \sqrt{c + d x}}{a x} + \frac{2 b c^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{a^{2} \sqrt{\frac{a d}{b} - c}} - \frac{2 b c^{3} \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{a^{2} \sqrt{- c}}"," ",0,"-2*a*d**3*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(b**2*sqrt(a*d/b - c)) + 6*c*d**2*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(b*sqrt(a*d/b - c)) + 2*d**2*sqrt(c + d*x)/b - c**3*d*sqrt(c**(-3))*log(-c**2*sqrt(c**(-3)) + sqrt(c + d*x))/(2*a) + c**3*d*sqrt(c**(-3))*log(c**2*sqrt(c**(-3)) + sqrt(c + d*x))/(2*a) - 6*c**2*d*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(a*sqrt(a*d/b - c)) + 6*c**2*d*atan(sqrt(c + d*x)/sqrt(-c))/(a*sqrt(-c)) - c**2*sqrt(c + d*x)/(a*x) + 2*b*c**3*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(a**2*sqrt(a*d/b - c)) - 2*b*c**3*atan(sqrt(c + d*x)/sqrt(-c))/(a**2*sqrt(-c))","B",0
461,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**3/(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
462,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**4/(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
463,0,0,0,0.000000," ","integrate(1/x**(1/3)/(d*x+4*c)/(d*x+c)**(1/2),x)","\int \frac{1}{\sqrt[3]{x} \sqrt{c + d x} \left(4 c + d x\right)}\, dx"," ",0,"Integral(1/(x**(1/3)*sqrt(c + d*x)*(4*c + d*x)), x)","F",0
464,0,0,0,0.000000," ","integrate(1/x**(1/3)/(-d*x+8*c)/(d*x+c)**(1/2),x)","- \int \frac{1}{- 8 c \sqrt[3]{x} \sqrt{c + d x} + d x^{\frac{4}{3}} \sqrt{c + d x}}\, dx"," ",0,"-Integral(1/(-8*c*x**(1/3)*sqrt(c + d*x) + d*x**(4/3)*sqrt(c + d*x)), x)","F",0
465,1,790,0,68.829912," ","integrate((d*x+c)**(1/2)/x**2/(b*x+a)**2,x)","\frac{2 b^{2} c d \sqrt{c + d x}}{2 a^{4} d^{2} - 2 a^{3} b c d + 2 a^{3} b d^{2} x - 2 a^{2} b^{2} c d x} - \frac{2 b d^{2} \sqrt{c + d x}}{2 a^{3} d^{2} - 2 a^{2} b c d + 2 a^{2} b d^{2} x - 2 a b^{2} c d x} + \frac{b d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 a} - \frac{b d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 a} - \frac{b^{2} c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 a^{2}} + \frac{b^{2} c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 a^{2}} - \frac{c d \sqrt{\frac{1}{c^{3}}} \log{\left(- c^{2} \sqrt{\frac{1}{c^{3}}} + \sqrt{c + d x} \right)}}{2 a^{2}} + \frac{c d \sqrt{\frac{1}{c^{3}}} \log{\left(c^{2} \sqrt{\frac{1}{c^{3}}} + \sqrt{c + d x} \right)}}{2 a^{2}} - \frac{2 d \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{a^{2} \sqrt{\frac{a d}{b} - c}} + \frac{2 d \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{a^{2} \sqrt{- c}} - \frac{\sqrt{c + d x}}{a^{2} x} + \frac{4 b c \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{a^{3} \sqrt{\frac{a d}{b} - c}} - \frac{4 b c \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{a^{3} \sqrt{- c}}"," ",0,"2*b**2*c*d*sqrt(c + d*x)/(2*a**4*d**2 - 2*a**3*b*c*d + 2*a**3*b*d**2*x - 2*a**2*b**2*c*d*x) - 2*b*d**2*sqrt(c + d*x)/(2*a**3*d**2 - 2*a**2*b*c*d + 2*a**2*b*d**2*x - 2*a*b**2*c*d*x) + b*d**2*sqrt(-1/(b*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) - b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*a) - b*d**2*sqrt(-1/(b*(a*d - b*c)**3))*log(a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) + b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*a) - b**2*c*d*sqrt(-1/(b*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) - b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*a**2) + b**2*c*d*sqrt(-1/(b*(a*d - b*c)**3))*log(a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) + b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*a**2) - c*d*sqrt(c**(-3))*log(-c**2*sqrt(c**(-3)) + sqrt(c + d*x))/(2*a**2) + c*d*sqrt(c**(-3))*log(c**2*sqrt(c**(-3)) + sqrt(c + d*x))/(2*a**2) - 2*d*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(a**2*sqrt(a*d/b - c)) + 2*d*atan(sqrt(c + d*x)/sqrt(-c))/(a**2*sqrt(-c)) - sqrt(c + d*x)/(a**2*x) + 4*b*c*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(a**3*sqrt(a*d/b - c)) - 4*b*c*atan(sqrt(c + d*x)/sqrt(-c))/(a**3*sqrt(-c))","B",0
466,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
467,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**2/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
468,-1,0,0,0.000000," ","integrate(x**3*(d*x+c)**(5/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
469,-1,0,0,0.000000," ","integrate(x**2*(d*x+c)**(5/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
470,-1,0,0,0.000000," ","integrate(x*(d*x+c)**(5/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
471,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
472,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
473,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**2/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
474,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**3/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
475,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**4/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
476,-1,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**2/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
477,0,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**2/(d*x+c)**(3/2),x)","\int \frac{1}{x^{2} \left(a + b x\right)^{2} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x)**2*(c + d*x)**(3/2)), x)","F",0
478,0,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**2/(d*x+c)**(5/2),x)","\int \frac{1}{x^{2} \left(a + b x\right)^{2} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x)**2*(c + d*x)**(5/2)), x)","F",0
479,1,2370,0,48.217172," ","integrate(x**(5/2)*(B*x+A)*(b*x+a)**(1/2),x)","\frac{2 A a^{2} \left(\begin{cases} \frac{a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{3 \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{2} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{3 i \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{2} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} - \frac{4 A a \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} + \frac{2 A \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} - \frac{2 B a^{3} \left(\begin{cases} \frac{a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{3 \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{2} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{3 i \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{2} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}} + \frac{6 B a^{2} \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}} - \frac{6 B a \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}} + \frac{2 B \left(\begin{cases} \frac{7 a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{9 \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{5} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{7 i a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{9 i \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{5} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}}"," ",0,"2*A*a**2*Piecewise((a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(b*x/a)) - 3*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(b*x/a)) - a**2*acosh(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) + (a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(-b*x/a)) + 3*I*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(-b*x/a)) + I*a**2*asin(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) - I*(a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 - 4*A*a*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 + 2*A*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 - 2*B*a**3*Piecewise((a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(b*x/a)) - 3*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(b*x/a)) - a**2*acosh(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) + (a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(-b*x/a)) + 3*I*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(-b*x/a)) + I*a**2*asin(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) - I*(a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4 + 6*B*a**2*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4 - 6*B*a*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4 + 2*B*Piecewise((7*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(b*x/a)) - 7*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(b*x/a)) - 9*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(b*x/a)) - 7*a**5*acosh(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) + (a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-7*I*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(-b*x/a)) + 9*I*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**5*asin(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) - I*(a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4","C",0
480,1,1527,0,25.954307," ","integrate(x**(3/2)*(B*x+A)*(b*x+a)**(1/2),x)","- \frac{2 A a \left(\begin{cases} \frac{a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{3 \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{2} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{3 i \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{2} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 A \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 B a^{2} \left(\begin{cases} \frac{a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{3 \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{2} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{3 i \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{2} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} - \frac{4 B a \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} + \frac{2 B \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}}"," ",0,"-2*A*a*Piecewise((a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(b*x/a)) - 3*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(b*x/a)) - a**2*acosh(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) + (a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(-b*x/a)) + 3*I*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(-b*x/a)) + I*a**2*asin(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) - I*(a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2 + 2*A*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2 + 2*B*a**2*Piecewise((a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(b*x/a)) - 3*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(b*x/a)) - a**2*acosh(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) + (a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(-b*x/a)) + 3*I*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(-b*x/a)) + I*a**2*asin(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) - I*(a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 - 4*B*a*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 + 2*B*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3","C",0
481,1,673,0,20.106067," ","integrate((B*x+A)*x**(1/2)*(b*x+a)**(1/2),x)","\frac{A a^{\frac{3}{2}} \sqrt{x}}{4 b \sqrt{1 + \frac{b x}{a}}} + \frac{3 A \sqrt{a} x^{\frac{3}{2}}}{4 \sqrt{1 + \frac{b x}{a}}} - \frac{A a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4 b^{\frac{3}{2}}} + \frac{A b x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{1 + \frac{b x}{a}}} - \frac{2 B a \left(\begin{cases} \frac{a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{3 \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{2} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{3}{2}} \sqrt{a + b x}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{3 i \sqrt{a} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{2} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 B \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}}"," ",0,"A*a**(3/2)*sqrt(x)/(4*b*sqrt(1 + b*x/a)) + 3*A*sqrt(a)*x**(3/2)/(4*sqrt(1 + b*x/a)) - A*a**2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(4*b**(3/2)) + A*b*x**(5/2)/(2*sqrt(a)*sqrt(1 + b*x/a)) - 2*B*a*Piecewise((a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(b*x/a)) - 3*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(b*x/a)) - a**2*acosh(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) + (a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(3/2)*sqrt(a + b*x)/(8*sqrt(b)*sqrt(-b*x/a)) + 3*I*sqrt(a)*(a + b*x)**(3/2)/(8*sqrt(b)*sqrt(-b*x/a)) + I*a**2*asin(sqrt(a + b*x)/sqrt(a))/(8*sqrt(b)) - I*(a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2 + 2*B*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2","C",0
482,1,568,0,9.454686," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(1/2),x)","\frac{2 A \left(\begin{cases} \frac{\sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}} \sqrt{a + b x}}{2} + \frac{a \sqrt{b} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{2} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\\frac{i \sqrt{a} \sqrt{b} \sqrt{a + b x}}{2 \sqrt{- \frac{b x}{a}}} - \frac{i a \sqrt{b} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{2} - \frac{i \sqrt{b} \left(a + b x\right)^{\frac{3}{2}}}{2 \sqrt{a} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b} - \frac{2 B a \left(\begin{cases} \frac{\sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}} \sqrt{a + b x}}{2} + \frac{a \sqrt{b} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{2} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\\frac{i \sqrt{a} \sqrt{b} \sqrt{a + b x}}{2 \sqrt{- \frac{b x}{a}}} - \frac{i a \sqrt{b} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{2} - \frac{i \sqrt{b} \left(a + b x\right)^{\frac{3}{2}}}{2 \sqrt{a} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 B \left(\begin{cases} - \frac{3 a^{\frac{3}{2}} \sqrt{b} \sqrt{a + b x}}{8 \sqrt{\frac{b x}{a}}} + \frac{\sqrt{a} \sqrt{b} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{\frac{b x}{a}}} + \frac{3 a^{2} \sqrt{b} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8} + \frac{\sqrt{b} \left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\\frac{3 i a^{\frac{3}{2}} \sqrt{b} \sqrt{a + b x}}{8 \sqrt{- \frac{b x}{a}}} - \frac{i \sqrt{a} \sqrt{b} \left(a + b x\right)^{\frac{3}{2}}}{8 \sqrt{- \frac{b x}{a}}} - \frac{3 i a^{2} \sqrt{b} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{8} - \frac{i \sqrt{b} \left(a + b x\right)^{\frac{5}{2}}}{4 \sqrt{a} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}}"," ",0,"2*A*Piecewise((sqrt(a)*sqrt(b)*sqrt(b*x/a)*sqrt(a + b*x)/2 + a*sqrt(b)*acosh(sqrt(a + b*x)/sqrt(a))/2, Abs(1 + b*x/a) > 1), (I*sqrt(a)*sqrt(b)*sqrt(a + b*x)/(2*sqrt(-b*x/a)) - I*a*sqrt(b)*asin(sqrt(a + b*x)/sqrt(a))/2 - I*sqrt(b)*(a + b*x)**(3/2)/(2*sqrt(a)*sqrt(-b*x/a)), True))/b - 2*B*a*Piecewise((sqrt(a)*sqrt(b)*sqrt(b*x/a)*sqrt(a + b*x)/2 + a*sqrt(b)*acosh(sqrt(a + b*x)/sqrt(a))/2, Abs(1 + b*x/a) > 1), (I*sqrt(a)*sqrt(b)*sqrt(a + b*x)/(2*sqrt(-b*x/a)) - I*a*sqrt(b)*asin(sqrt(a + b*x)/sqrt(a))/2 - I*sqrt(b)*(a + b*x)**(3/2)/(2*sqrt(a)*sqrt(-b*x/a)), True))/b**2 + 2*B*Piecewise((-3*a**(3/2)*sqrt(b)*sqrt(a + b*x)/(8*sqrt(b*x/a)) + sqrt(a)*sqrt(b)*(a + b*x)**(3/2)/(8*sqrt(b*x/a)) + 3*a**2*sqrt(b)*acosh(sqrt(a + b*x)/sqrt(a))/8 + sqrt(b)*(a + b*x)**(5/2)/(4*sqrt(a)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (3*I*a**(3/2)*sqrt(b)*sqrt(a + b*x)/(8*sqrt(-b*x/a)) - I*sqrt(a)*sqrt(b)*(a + b*x)**(3/2)/(8*sqrt(-b*x/a)) - 3*I*a**2*sqrt(b)*asin(sqrt(a + b*x)/sqrt(a))/8 - I*sqrt(b)*(a + b*x)**(5/2)/(4*sqrt(a)*sqrt(-b*x/a)), True))/b**2","C",0
483,1,116,0,10.628947," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(3/2),x)","A \left(- \frac{2 \sqrt{a}}{\sqrt{x} \sqrt{1 + \frac{b x}{a}}} + 2 \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)} - \frac{2 b \sqrt{x}}{\sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right) + B \left(\sqrt{a} \sqrt{x} \sqrt{1 + \frac{b x}{a}} + \frac{a \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{\sqrt{b}}\right)"," ",0,"A*(-2*sqrt(a)/(sqrt(x)*sqrt(1 + b*x/a)) + 2*sqrt(b)*asinh(sqrt(b)*sqrt(x)/sqrt(a)) - 2*b*sqrt(x)/(sqrt(a)*sqrt(1 + b*x/a))) + B*(sqrt(a)*sqrt(x)*sqrt(1 + b*x/a) + a*asinh(sqrt(b)*sqrt(x)/sqrt(a))/sqrt(b))","A",0
484,1,114,0,24.273463," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(5/2),x)","A \left(- \frac{2 \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 x} - \frac{2 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3 a}\right) + B \left(- \frac{2 \sqrt{a}}{\sqrt{x} \sqrt{1 + \frac{b x}{a}}} + 2 \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)} - \frac{2 b \sqrt{x}}{\sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"A*(-2*sqrt(b)*sqrt(a/(b*x) + 1)/(3*x) - 2*b**(3/2)*sqrt(a/(b*x) + 1)/(3*a)) + B*(-2*sqrt(a)/(sqrt(x)*sqrt(1 + b*x/a)) + 2*sqrt(b)*asinh(sqrt(b)*sqrt(x)/sqrt(a)) - 2*b*sqrt(x)/(sqrt(a)*sqrt(1 + b*x/a)))","A",0
485,1,110,0,61.236517," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(7/2),x)","A \left(- \frac{2 \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{5 x^{2}} - \frac{2 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{15 a x} + \frac{4 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{15 a^{2}}\right) + B \left(- \frac{2 \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 x} - \frac{2 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3 a}\right)"," ",0,"A*(-2*sqrt(b)*sqrt(a/(b*x) + 1)/(5*x**2) - 2*b**(3/2)*sqrt(a/(b*x) + 1)/(15*a*x) + 4*b**(5/2)*sqrt(a/(b*x) + 1)/(15*a**2)) + B*(-2*sqrt(b)*sqrt(a/(b*x) + 1)/(3*x) - 2*b**(3/2)*sqrt(a/(b*x) + 1)/(3*a))","B",0
486,1,416,0,157.541626," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(9/2),x)","A \left(- \frac{30 a^{5} b^{\frac{9}{2}} \sqrt{\frac{a}{b x} + 1}}{105 a^{5} b^{4} x^{3} + 210 a^{4} b^{5} x^{4} + 105 a^{3} b^{6} x^{5}} - \frac{66 a^{4} b^{\frac{11}{2}} x \sqrt{\frac{a}{b x} + 1}}{105 a^{5} b^{4} x^{3} + 210 a^{4} b^{5} x^{4} + 105 a^{3} b^{6} x^{5}} - \frac{34 a^{3} b^{\frac{13}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{105 a^{5} b^{4} x^{3} + 210 a^{4} b^{5} x^{4} + 105 a^{3} b^{6} x^{5}} - \frac{6 a^{2} b^{\frac{15}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{105 a^{5} b^{4} x^{3} + 210 a^{4} b^{5} x^{4} + 105 a^{3} b^{6} x^{5}} - \frac{24 a b^{\frac{17}{2}} x^{4} \sqrt{\frac{a}{b x} + 1}}{105 a^{5} b^{4} x^{3} + 210 a^{4} b^{5} x^{4} + 105 a^{3} b^{6} x^{5}} - \frac{16 b^{\frac{19}{2}} x^{5} \sqrt{\frac{a}{b x} + 1}}{105 a^{5} b^{4} x^{3} + 210 a^{4} b^{5} x^{4} + 105 a^{3} b^{6} x^{5}}\right) + B \left(- \frac{2 \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{5 x^{2}} - \frac{2 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{15 a x} + \frac{4 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{15 a^{2}}\right)"," ",0,"A*(-30*a**5*b**(9/2)*sqrt(a/(b*x) + 1)/(105*a**5*b**4*x**3 + 210*a**4*b**5*x**4 + 105*a**3*b**6*x**5) - 66*a**4*b**(11/2)*x*sqrt(a/(b*x) + 1)/(105*a**5*b**4*x**3 + 210*a**4*b**5*x**4 + 105*a**3*b**6*x**5) - 34*a**3*b**(13/2)*x**2*sqrt(a/(b*x) + 1)/(105*a**5*b**4*x**3 + 210*a**4*b**5*x**4 + 105*a**3*b**6*x**5) - 6*a**2*b**(15/2)*x**3*sqrt(a/(b*x) + 1)/(105*a**5*b**4*x**3 + 210*a**4*b**5*x**4 + 105*a**3*b**6*x**5) - 24*a*b**(17/2)*x**4*sqrt(a/(b*x) + 1)/(105*a**5*b**4*x**3 + 210*a**4*b**5*x**4 + 105*a**3*b**6*x**5) - 16*b**(19/2)*x**5*sqrt(a/(b*x) + 1)/(105*a**5*b**4*x**3 + 210*a**4*b**5*x**4 + 105*a**3*b**6*x**5)) + B*(-2*sqrt(b)*sqrt(a/(b*x) + 1)/(5*x**2) - 2*b**(3/2)*sqrt(a/(b*x) + 1)/(15*a*x) + 4*b**(5/2)*sqrt(a/(b*x) + 1)/(15*a**2))","B",0
487,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
488,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
489,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
490,1,2825,0,134.417509," ","integrate(x**(5/2)*(b*x+a)**(3/2)*(B*x+A),x)","\frac{2 A a^{2} \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} - \frac{4 A a \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} + \frac{2 A \left(\begin{cases} \frac{7 a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{9 \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{5} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{7 i a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{9 i \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{5} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} - \frac{2 B a^{3} \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}} + \frac{6 B a^{2} \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}} - \frac{6 B a \left(\begin{cases} \frac{7 a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{9 \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{5} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{7 i a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{9 i \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{5} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}} + \frac{2 B \left(\begin{cases} \frac{21 a^{\frac{11}{2}} \sqrt{a + b x}}{1024 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{9}{2}} \left(a + b x\right)^{\frac{3}{2}}}{1024 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{5}{2}}}{2560 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{5}{2}} \left(a + b x\right)^{\frac{7}{2}}}{640 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{9}{2}}}{960 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{11 \sqrt{a} \left(a + b x\right)^{\frac{11}{2}}}{120 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{21 a^{6} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{1024 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{12 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{21 i a^{\frac{11}{2}} \sqrt{a + b x}}{1024 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{9}{2}} \left(a + b x\right)^{\frac{3}{2}}}{1024 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{5}{2}}}{2560 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{7}{2}}}{640 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{9}{2}}}{960 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{11 i \sqrt{a} \left(a + b x\right)^{\frac{11}{2}}}{120 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{21 i a^{6} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{1024 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{13}{2}}}{12 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{4}}"," ",0,"2*A*a**2*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 - 4*A*a*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 + 2*A*Piecewise((7*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(b*x/a)) - 7*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(b*x/a)) - 9*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(b*x/a)) - 7*a**5*acosh(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) + (a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-7*I*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(-b*x/a)) + 9*I*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**5*asin(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) - I*(a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 - 2*B*a**3*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4 + 6*B*a**2*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4 - 6*B*a*Piecewise((7*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(b*x/a)) - 7*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(b*x/a)) - 9*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(b*x/a)) - 7*a**5*acosh(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) + (a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-7*I*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(-b*x/a)) + 9*I*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**5*asin(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) - I*(a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4 + 2*B*Piecewise((21*a**(11/2)*sqrt(a + b*x)/(1024*sqrt(b)*sqrt(b*x/a)) - 7*a**(9/2)*(a + b*x)**(3/2)/(1024*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(5/2)/(2560*sqrt(b)*sqrt(b*x/a)) - a**(5/2)*(a + b*x)**(7/2)/(640*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(9/2)/(960*sqrt(b)*sqrt(b*x/a)) - 11*sqrt(a)*(a + b*x)**(11/2)/(120*sqrt(b)*sqrt(b*x/a)) - 21*a**6*acosh(sqrt(a + b*x)/sqrt(a))/(1024*sqrt(b)) + (a + b*x)**(13/2)/(12*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-21*I*a**(11/2)*sqrt(a + b*x)/(1024*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(9/2)*(a + b*x)**(3/2)/(1024*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(5/2)/(2560*sqrt(b)*sqrt(-b*x/a)) + I*a**(5/2)*(a + b*x)**(7/2)/(640*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(9/2)/(960*sqrt(b)*sqrt(-b*x/a)) + 11*I*sqrt(a)*(a + b*x)**(11/2)/(120*sqrt(b)*sqrt(-b*x/a)) + 21*I*a**6*asin(sqrt(a + b*x)/sqrt(a))/(1024*sqrt(b)) - I*(a + b*x)**(13/2)/(12*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**4","C",0
491,1,1856,0,76.835466," ","integrate(x**(3/2)*(b*x+a)**(3/2)*(B*x+A),x)","- \frac{2 A a \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 A \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 B a^{2} \left(\begin{cases} \frac{a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{3} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{i a^{\frac{5}{2}} \sqrt{a + b x}}{16 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{3}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i \sqrt{a} \left(a + b x\right)^{\frac{5}{2}}}{24 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{3} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{16 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{7}{2}}}{6 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} - \frac{4 B a \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} + \frac{2 B \left(\begin{cases} \frac{7 a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{9 \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{5} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{7 i a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{9 i \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{5} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}}"," ",0,"-2*A*a*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2 + 2*A*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2 + 2*B*a**2*Piecewise((a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(b*x/a)) - a**3*acosh(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) + (a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-I*a**(5/2)*sqrt(a + b*x)/(16*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(3/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*sqrt(a)*(a + b*x)**(5/2)/(24*sqrt(b)*sqrt(-b*x/a)) + I*a**3*asin(sqrt(a + b*x)/sqrt(a))/(16*sqrt(b)) - I*(a + b*x)**(7/2)/(6*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 - 4*B*a*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 + 2*B*Piecewise((7*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(b*x/a)) - 7*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(b*x/a)) - 9*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(b*x/a)) - 7*a**5*acosh(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) + (a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-7*I*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(-b*x/a)) + 9*I*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**5*asin(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) - I*(a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3","C",0
492,1,298,0,26.203318," ","integrate((b*x+a)**(3/2)*(B*x+A)*x**(1/2),x)","\frac{A a^{\frac{5}{2}} \sqrt{x}}{8 b \sqrt{1 + \frac{b x}{a}}} + \frac{17 A a^{\frac{3}{2}} x^{\frac{3}{2}}}{24 \sqrt{1 + \frac{b x}{a}}} + \frac{11 A \sqrt{a} b x^{\frac{5}{2}}}{12 \sqrt{1 + \frac{b x}{a}}} - \frac{A a^{3} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{8 b^{\frac{3}{2}}} + \frac{A b^{2} x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{1 + \frac{b x}{a}}} - \frac{3 B a^{\frac{7}{2}} \sqrt{x}}{64 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{B a^{\frac{5}{2}} x^{\frac{3}{2}}}{64 b \sqrt{1 + \frac{b x}{a}}} + \frac{13 B a^{\frac{3}{2}} x^{\frac{5}{2}}}{32 \sqrt{1 + \frac{b x}{a}}} + \frac{5 B \sqrt{a} b x^{\frac{7}{2}}}{8 \sqrt{1 + \frac{b x}{a}}} + \frac{3 B a^{4} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{64 b^{\frac{5}{2}}} + \frac{B b^{2} x^{\frac{9}{2}}}{4 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}"," ",0,"A*a**(5/2)*sqrt(x)/(8*b*sqrt(1 + b*x/a)) + 17*A*a**(3/2)*x**(3/2)/(24*sqrt(1 + b*x/a)) + 11*A*sqrt(a)*b*x**(5/2)/(12*sqrt(1 + b*x/a)) - A*a**3*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(8*b**(3/2)) + A*b**2*x**(7/2)/(3*sqrt(a)*sqrt(1 + b*x/a)) - 3*B*a**(7/2)*sqrt(x)/(64*b**2*sqrt(1 + b*x/a)) - B*a**(5/2)*x**(3/2)/(64*b*sqrt(1 + b*x/a)) + 13*B*a**(3/2)*x**(5/2)/(32*sqrt(1 + b*x/a)) + 5*B*sqrt(a)*b*x**(7/2)/(8*sqrt(1 + b*x/a)) + 3*B*a**4*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(64*b**(5/2)) + B*b**2*x**(9/2)/(4*sqrt(a)*sqrt(1 + b*x/a))","B",0
493,1,204,0,46.989736," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(1/2),x)","A \left(\frac{5 a^{\frac{3}{2}} \sqrt{x} \sqrt{1 + \frac{b x}{a}}}{4} + \frac{\sqrt{a} b x^{\frac{3}{2}} \sqrt{1 + \frac{b x}{a}}}{2} + \frac{3 a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4 \sqrt{b}}\right) + B \left(\frac{a^{\frac{5}{2}} \sqrt{x}}{8 b \sqrt{1 + \frac{b x}{a}}} + \frac{17 a^{\frac{3}{2}} x^{\frac{3}{2}}}{24 \sqrt{1 + \frac{b x}{a}}} + \frac{11 \sqrt{a} b x^{\frac{5}{2}}}{12 \sqrt{1 + \frac{b x}{a}}} - \frac{a^{3} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{8 b^{\frac{3}{2}}} + \frac{b^{2} x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"A*(5*a**(3/2)*sqrt(x)*sqrt(1 + b*x/a)/4 + sqrt(a)*b*x**(3/2)*sqrt(1 + b*x/a)/2 + 3*a**2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(4*sqrt(b))) + B*(a**(5/2)*sqrt(x)/(8*b*sqrt(1 + b*x/a)) + 17*a**(3/2)*x**(3/2)/(24*sqrt(1 + b*x/a)) + 11*sqrt(a)*b*x**(5/2)/(12*sqrt(1 + b*x/a)) - a**3*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(8*b**(3/2)) + b**2*x**(7/2)/(3*sqrt(a)*sqrt(1 + b*x/a)))","A",0
494,1,172,0,39.648653," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(3/2),x)","A \left(- \frac{2 a^{\frac{3}{2}}}{\sqrt{x} \sqrt{1 + \frac{b x}{a}}} - \frac{\sqrt{a} b \sqrt{x}}{\sqrt{1 + \frac{b x}{a}}} + 3 a \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)} + \frac{b^{2} x^{\frac{3}{2}}}{\sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right) + B \left(\frac{5 a^{\frac{3}{2}} \sqrt{x} \sqrt{1 + \frac{b x}{a}}}{4} + \frac{\sqrt{a} b x^{\frac{3}{2}} \sqrt{1 + \frac{b x}{a}}}{2} + \frac{3 a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4 \sqrt{b}}\right)"," ",0,"A*(-2*a**(3/2)/(sqrt(x)*sqrt(1 + b*x/a)) - sqrt(a)*b*sqrt(x)/sqrt(1 + b*x/a) + 3*a*sqrt(b)*asinh(sqrt(b)*sqrt(x)/sqrt(a)) + b**2*x**(3/2)/(sqrt(a)*sqrt(1 + b*x/a))) + B*(5*a**(3/2)*sqrt(x)*sqrt(1 + b*x/a)/4 + sqrt(a)*b*x**(3/2)*sqrt(1 + b*x/a)/2 + 3*a**2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(4*sqrt(b)))","A",0
495,1,168,0,45.812397," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(5/2),x)","A \left(- \frac{2 a \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 x} - \frac{8 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3} - b^{\frac{3}{2}} \log{\left(\frac{a}{b x} \right)} + 2 b^{\frac{3}{2}} \log{\left(\sqrt{\frac{a}{b x} + 1} + 1 \right)}\right) + B \left(- \frac{2 a^{\frac{3}{2}}}{\sqrt{x} \sqrt{1 + \frac{b x}{a}}} - \frac{\sqrt{a} b \sqrt{x}}{\sqrt{1 + \frac{b x}{a}}} + 3 a \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)} + \frac{b^{2} x^{\frac{3}{2}}}{\sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"A*(-2*a*sqrt(b)*sqrt(a/(b*x) + 1)/(3*x) - 8*b**(3/2)*sqrt(a/(b*x) + 1)/3 - b**(3/2)*log(a/(b*x)) + 2*b**(3/2)*log(sqrt(a/(b*x) + 1) + 1)) + B*(-2*a**(3/2)/(sqrt(x)*sqrt(1 + b*x/a)) - sqrt(a)*b*sqrt(x)/sqrt(1 + b*x/a) + 3*a*sqrt(b)*asinh(sqrt(b)*sqrt(x)/sqrt(a)) + b**2*x**(3/2)/(sqrt(a)*sqrt(1 + b*x/a)))","A",0
496,1,141,0,70.267608," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(7/2),x)","A \left(- \frac{2 a \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{5 x^{2}} - \frac{4 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{5 x} - \frac{2 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{5 a}\right) + B \left(- \frac{2 a \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 x} - \frac{8 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3} - b^{\frac{3}{2}} \log{\left(\frac{a}{b x} \right)} + 2 b^{\frac{3}{2}} \log{\left(\sqrt{\frac{a}{b x} + 1} + 1 \right)}\right)"," ",0,"A*(-2*a*sqrt(b)*sqrt(a/(b*x) + 1)/(5*x**2) - 4*b**(3/2)*sqrt(a/(b*x) + 1)/(5*x) - 2*b**(5/2)*sqrt(a/(b*x) + 1)/(5*a)) + B*(-2*a*sqrt(b)*sqrt(a/(b*x) + 1)/(3*x) - 8*b**(3/2)*sqrt(a/(b*x) + 1)/3 - b**(3/2)*log(a/(b*x)) + 2*b**(3/2)*log(sqrt(a/(b*x) + 1) + 1))","A",0
497,1,158,0,144.281217," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(9/2),x)","A \left(- \frac{2 a \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{7 x^{3}} - \frac{16 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{35 x^{2}} - \frac{2 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{35 a x} + \frac{4 b^{\frac{7}{2}} \sqrt{\frac{a}{b x} + 1}}{35 a^{2}}\right) + B \left(- \frac{2 a \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{5 x^{2}} - \frac{4 b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{5 x} - \frac{2 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{5 a}\right)"," ",0,"A*(-2*a*sqrt(b)*sqrt(a/(b*x) + 1)/(7*x**3) - 16*b**(3/2)*sqrt(a/(b*x) + 1)/(35*x**2) - 2*b**(5/2)*sqrt(a/(b*x) + 1)/(35*a*x) + 4*b**(7/2)*sqrt(a/(b*x) + 1)/(35*a**2)) + B*(-2*a*sqrt(b)*sqrt(a/(b*x) + 1)/(5*x**2) - 4*b**(3/2)*sqrt(a/(b*x) + 1)/(5*x) - 2*b**(5/2)*sqrt(a/(b*x) + 1)/(5*a))","B",0
498,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
499,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
500,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
501,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/x**(17/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
502,1,2190,0,160.745621," ","integrate(x**(3/2)*(b*x+a)**(5/2)*(B*x+A),x)","- \frac{2 A a \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 A \left(\begin{cases} \frac{7 a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{9 \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{5} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{7 i a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{9 i \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{5} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{2}} + \frac{2 B a^{2} \left(\begin{cases} \frac{5 a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{5 a^{4} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{5 i a^{\frac{7}{2}} \sqrt{a + b x}}{128 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{3}{2}}}{384 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{5}{2}}}{192 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i \sqrt{a} \left(a + b x\right)^{\frac{7}{2}}}{48 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{5 i a^{4} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{128 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{9}{2}}}{8 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} - \frac{4 B a \left(\begin{cases} \frac{7 a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{9 \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{5} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{7 i a^{\frac{9}{2}} \sqrt{a + b x}}{256 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{3}{2}}}{768 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{5}{2}}}{1920 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{7}{2}}}{480 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{9 i \sqrt{a} \left(a + b x\right)^{\frac{9}{2}}}{80 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{5} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{256 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{11}{2}}}{10 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}} + \frac{2 B \left(\begin{cases} \frac{21 a^{\frac{11}{2}} \sqrt{a + b x}}{1024 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{9}{2}} \left(a + b x\right)^{\frac{3}{2}}}{1024 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{7 a^{\frac{7}{2}} \left(a + b x\right)^{\frac{5}{2}}}{2560 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{5}{2}} \left(a + b x\right)^{\frac{7}{2}}}{640 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{a^{\frac{3}{2}} \left(a + b x\right)^{\frac{9}{2}}}{960 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{11 \sqrt{a} \left(a + b x\right)^{\frac{11}{2}}}{120 \sqrt{b} \sqrt{\frac{b x}{a}}} - \frac{21 a^{6} \operatorname{acosh}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{1024 \sqrt{b}} + \frac{\left(a + b x\right)^{\frac{13}{2}}}{12 \sqrt{a} \sqrt{b} \sqrt{\frac{b x}{a}}} & \text{for}\: \left|{1 + \frac{b x}{a}}\right| > 1 \\- \frac{21 i a^{\frac{11}{2}} \sqrt{a + b x}}{1024 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{9}{2}} \left(a + b x\right)^{\frac{3}{2}}}{1024 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{7 i a^{\frac{7}{2}} \left(a + b x\right)^{\frac{5}{2}}}{2560 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{5}{2}} \left(a + b x\right)^{\frac{7}{2}}}{640 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{i a^{\frac{3}{2}} \left(a + b x\right)^{\frac{9}{2}}}{960 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{11 i \sqrt{a} \left(a + b x\right)^{\frac{11}{2}}}{120 \sqrt{b} \sqrt{- \frac{b x}{a}}} + \frac{21 i a^{6} \operatorname{asin}{\left(\frac{\sqrt{a + b x}}{\sqrt{a}} \right)}}{1024 \sqrt{b}} - \frac{i \left(a + b x\right)^{\frac{13}{2}}}{12 \sqrt{a} \sqrt{b} \sqrt{- \frac{b x}{a}}} & \text{otherwise} \end{cases}\right)}{b^{3}}"," ",0,"-2*A*a*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2 + 2*A*Piecewise((7*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(b*x/a)) - 7*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(b*x/a)) - 9*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(b*x/a)) - 7*a**5*acosh(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) + (a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-7*I*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(-b*x/a)) + 9*I*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**5*asin(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) - I*(a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**2 + 2*B*a**2*Piecewise((5*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(b*x/a)) - 5*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(b*x/a)) - 7*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(b*x/a)) - 5*a**4*acosh(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) + (a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-5*I*a**(7/2)*sqrt(a + b*x)/(128*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**(5/2)*(a + b*x)**(3/2)/(384*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(5/2)/(192*sqrt(b)*sqrt(-b*x/a)) + 7*I*sqrt(a)*(a + b*x)**(7/2)/(48*sqrt(b)*sqrt(-b*x/a)) + 5*I*a**4*asin(sqrt(a + b*x)/sqrt(a))/(128*sqrt(b)) - I*(a + b*x)**(9/2)/(8*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 - 4*B*a*Piecewise((7*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(b*x/a)) - 7*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(b*x/a)) - 9*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(b*x/a)) - 7*a**5*acosh(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) + (a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-7*I*a**(9/2)*sqrt(a + b*x)/(256*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(3/2)/(768*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(5/2)*(a + b*x)**(5/2)/(1920*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(7/2)/(480*sqrt(b)*sqrt(-b*x/a)) + 9*I*sqrt(a)*(a + b*x)**(9/2)/(80*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**5*asin(sqrt(a + b*x)/sqrt(a))/(256*sqrt(b)) - I*(a + b*x)**(11/2)/(10*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3 + 2*B*Piecewise((21*a**(11/2)*sqrt(a + b*x)/(1024*sqrt(b)*sqrt(b*x/a)) - 7*a**(9/2)*(a + b*x)**(3/2)/(1024*sqrt(b)*sqrt(b*x/a)) - 7*a**(7/2)*(a + b*x)**(5/2)/(2560*sqrt(b)*sqrt(b*x/a)) - a**(5/2)*(a + b*x)**(7/2)/(640*sqrt(b)*sqrt(b*x/a)) - a**(3/2)*(a + b*x)**(9/2)/(960*sqrt(b)*sqrt(b*x/a)) - 11*sqrt(a)*(a + b*x)**(11/2)/(120*sqrt(b)*sqrt(b*x/a)) - 21*a**6*acosh(sqrt(a + b*x)/sqrt(a))/(1024*sqrt(b)) + (a + b*x)**(13/2)/(12*sqrt(a)*sqrt(b)*sqrt(b*x/a)), Abs(1 + b*x/a) > 1), (-21*I*a**(11/2)*sqrt(a + b*x)/(1024*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(9/2)*(a + b*x)**(3/2)/(1024*sqrt(b)*sqrt(-b*x/a)) + 7*I*a**(7/2)*(a + b*x)**(5/2)/(2560*sqrt(b)*sqrt(-b*x/a)) + I*a**(5/2)*(a + b*x)**(7/2)/(640*sqrt(b)*sqrt(-b*x/a)) + I*a**(3/2)*(a + b*x)**(9/2)/(960*sqrt(b)*sqrt(-b*x/a)) + 11*I*sqrt(a)*(a + b*x)**(11/2)/(120*sqrt(b)*sqrt(-b*x/a)) + 21*I*a**6*asin(sqrt(a + b*x)/sqrt(a))/(1024*sqrt(b)) - I*(a + b*x)**(13/2)/(12*sqrt(a)*sqrt(b)*sqrt(-b*x/a)), True))/b**3","C",0
503,1,359,0,51.616291," ","integrate((b*x+a)**(5/2)*(B*x+A)*x**(1/2),x)","\frac{5 A a^{\frac{7}{2}} \sqrt{x}}{64 b \sqrt{1 + \frac{b x}{a}}} + \frac{133 A a^{\frac{5}{2}} x^{\frac{3}{2}}}{192 \sqrt{1 + \frac{b x}{a}}} + \frac{127 A a^{\frac{3}{2}} b x^{\frac{5}{2}}}{96 \sqrt{1 + \frac{b x}{a}}} + \frac{23 A \sqrt{a} b^{2} x^{\frac{7}{2}}}{24 \sqrt{1 + \frac{b x}{a}}} - \frac{5 A a^{4} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{64 b^{\frac{3}{2}}} + \frac{A b^{3} x^{\frac{9}{2}}}{4 \sqrt{a} \sqrt{1 + \frac{b x}{a}}} - \frac{3 B a^{\frac{9}{2}} \sqrt{x}}{128 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{B a^{\frac{7}{2}} x^{\frac{3}{2}}}{128 b \sqrt{1 + \frac{b x}{a}}} + \frac{129 B a^{\frac{5}{2}} x^{\frac{5}{2}}}{320 \sqrt{1 + \frac{b x}{a}}} + \frac{73 B a^{\frac{3}{2}} b x^{\frac{7}{2}}}{80 \sqrt{1 + \frac{b x}{a}}} + \frac{29 B \sqrt{a} b^{2} x^{\frac{9}{2}}}{40 \sqrt{1 + \frac{b x}{a}}} + \frac{3 B a^{5} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{128 b^{\frac{5}{2}}} + \frac{B b^{3} x^{\frac{11}{2}}}{5 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}"," ",0,"5*A*a**(7/2)*sqrt(x)/(64*b*sqrt(1 + b*x/a)) + 133*A*a**(5/2)*x**(3/2)/(192*sqrt(1 + b*x/a)) + 127*A*a**(3/2)*b*x**(5/2)/(96*sqrt(1 + b*x/a)) + 23*A*sqrt(a)*b**2*x**(7/2)/(24*sqrt(1 + b*x/a)) - 5*A*a**4*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(64*b**(3/2)) + A*b**3*x**(9/2)/(4*sqrt(a)*sqrt(1 + b*x/a)) - 3*B*a**(9/2)*sqrt(x)/(128*b**2*sqrt(1 + b*x/a)) - B*a**(7/2)*x**(3/2)/(128*b*sqrt(1 + b*x/a)) + 129*B*a**(5/2)*x**(5/2)/(320*sqrt(1 + b*x/a)) + 73*B*a**(3/2)*b*x**(7/2)/(80*sqrt(1 + b*x/a)) + 29*B*sqrt(a)*b**2*x**(9/2)/(40*sqrt(1 + b*x/a)) + 3*B*a**5*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(128*b**(5/2)) + B*b**3*x**(11/2)/(5*sqrt(a)*sqrt(1 + b*x/a))","B",0
504,1,262,0,87.987754," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(1/2),x)","A \left(\frac{11 a^{\frac{5}{2}} \sqrt{x} \sqrt{1 + \frac{b x}{a}}}{8} + \frac{13 a^{\frac{3}{2}} b x^{\frac{3}{2}} \sqrt{1 + \frac{b x}{a}}}{12} + \frac{\sqrt{a} b^{2} x^{\frac{5}{2}} \sqrt{1 + \frac{b x}{a}}}{3} + \frac{5 a^{3} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{8 \sqrt{b}}\right) + B \left(\frac{5 a^{\frac{7}{2}} \sqrt{x}}{64 b \sqrt{1 + \frac{b x}{a}}} + \frac{133 a^{\frac{5}{2}} x^{\frac{3}{2}}}{192 \sqrt{1 + \frac{b x}{a}}} + \frac{127 a^{\frac{3}{2}} b x^{\frac{5}{2}}}{96 \sqrt{1 + \frac{b x}{a}}} + \frac{23 \sqrt{a} b^{2} x^{\frac{7}{2}}}{24 \sqrt{1 + \frac{b x}{a}}} - \frac{5 a^{4} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{64 b^{\frac{3}{2}}} + \frac{b^{3} x^{\frac{9}{2}}}{4 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"A*(11*a**(5/2)*sqrt(x)*sqrt(1 + b*x/a)/8 + 13*a**(3/2)*b*x**(3/2)*sqrt(1 + b*x/a)/12 + sqrt(a)*b**2*x**(5/2)*sqrt(1 + b*x/a)/3 + 5*a**3*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(8*sqrt(b))) + B*(5*a**(7/2)*sqrt(x)/(64*b*sqrt(1 + b*x/a)) + 133*a**(5/2)*x**(3/2)/(192*sqrt(1 + b*x/a)) + 127*a**(3/2)*b*x**(5/2)/(96*sqrt(1 + b*x/a)) + 23*sqrt(a)*b**2*x**(7/2)/(24*sqrt(1 + b*x/a)) - 5*a**4*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(64*b**(3/2)) + b**3*x**(9/2)/(4*sqrt(a)*sqrt(1 + b*x/a)))","A",0
505,1,233,0,64.944394," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(3/2),x)","A \left(- \frac{2 a^{\frac{5}{2}}}{\sqrt{x} \sqrt{1 + \frac{b x}{a}}} + \frac{a^{\frac{3}{2}} b \sqrt{x}}{4 \sqrt{1 + \frac{b x}{a}}} + \frac{11 \sqrt{a} b^{2} x^{\frac{3}{2}}}{4 \sqrt{1 + \frac{b x}{a}}} + \frac{15 a^{2} \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4} + \frac{b^{3} x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right) + B \left(\frac{11 a^{\frac{5}{2}} \sqrt{x} \sqrt{1 + \frac{b x}{a}}}{8} + \frac{13 a^{\frac{3}{2}} b x^{\frac{3}{2}} \sqrt{1 + \frac{b x}{a}}}{12} + \frac{\sqrt{a} b^{2} x^{\frac{5}{2}} \sqrt{1 + \frac{b x}{a}}}{3} + \frac{5 a^{3} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{8 \sqrt{b}}\right)"," ",0,"A*(-2*a**(5/2)/(sqrt(x)*sqrt(1 + b*x/a)) + a**(3/2)*b*sqrt(x)/(4*sqrt(1 + b*x/a)) + 11*sqrt(a)*b**2*x**(3/2)/(4*sqrt(1 + b*x/a)) + 15*a**2*sqrt(b)*asinh(sqrt(b)*sqrt(x)/sqrt(a))/4 + b**3*x**(5/2)/(2*sqrt(a)*sqrt(1 + b*x/a))) + B*(11*a**(5/2)*sqrt(x)*sqrt(1 + b*x/a)/8 + 13*a**(3/2)*b*x**(3/2)*sqrt(1 + b*x/a)/12 + sqrt(a)*b**2*x**(5/2)*sqrt(1 + b*x/a)/3 + 5*a**3*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(8*sqrt(b)))","A",0
506,1,230,0,68.977688," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(5/2),x)","A \left(- \frac{2 a^{2} \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 x} - \frac{14 a b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3} - \frac{5 a b^{\frac{3}{2}} \log{\left(\frac{a}{b x} \right)}}{2} + 5 a b^{\frac{3}{2}} \log{\left(\sqrt{\frac{a}{b x} + 1} + 1 \right)} + b^{\frac{5}{2}} x \sqrt{\frac{a}{b x} + 1}\right) + B \left(- \frac{2 a^{\frac{5}{2}}}{\sqrt{x} \sqrt{1 + \frac{b x}{a}}} + \frac{a^{\frac{3}{2}} b \sqrt{x}}{4 \sqrt{1 + \frac{b x}{a}}} + \frac{11 \sqrt{a} b^{2} x^{\frac{3}{2}}}{4 \sqrt{1 + \frac{b x}{a}}} + \frac{15 a^{2} \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4} + \frac{b^{3} x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"A*(-2*a**2*sqrt(b)*sqrt(a/(b*x) + 1)/(3*x) - 14*a*b**(3/2)*sqrt(a/(b*x) + 1)/3 - 5*a*b**(3/2)*log(a/(b*x))/2 + 5*a*b**(3/2)*log(sqrt(a/(b*x) + 1) + 1) + b**(5/2)*x*sqrt(a/(b*x) + 1)) + B*(-2*a**(5/2)/(sqrt(x)*sqrt(1 + b*x/a)) + a**(3/2)*b*sqrt(x)/(4*sqrt(1 + b*x/a)) + 11*sqrt(a)*b**2*x**(3/2)/(4*sqrt(1 + b*x/a)) + 15*a**2*sqrt(b)*asinh(sqrt(b)*sqrt(x)/sqrt(a))/4 + b**3*x**(5/2)/(2*sqrt(a)*sqrt(1 + b*x/a)))","A",0
507,1,201,0,92.564033," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(7/2),x)","A \left(- \frac{2 a^{2} \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{5 x^{2}} - \frac{22 a b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{15 x} - \frac{46 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{15} - b^{\frac{5}{2}} \log{\left(\frac{a}{b x} \right)} + 2 b^{\frac{5}{2}} \log{\left(\sqrt{\frac{a}{b x} + 1} + 1 \right)}\right) + B \left(- \frac{2 a^{2} \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 x} - \frac{14 a b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3} - \frac{5 a b^{\frac{3}{2}} \log{\left(\frac{a}{b x} \right)}}{2} + 5 a b^{\frac{3}{2}} \log{\left(\sqrt{\frac{a}{b x} + 1} + 1 \right)} + b^{\frac{5}{2}} x \sqrt{\frac{a}{b x} + 1}\right)"," ",0,"A*(-2*a**2*sqrt(b)*sqrt(a/(b*x) + 1)/(5*x**2) - 22*a*b**(3/2)*sqrt(a/(b*x) + 1)/(15*x) - 46*b**(5/2)*sqrt(a/(b*x) + 1)/15 - b**(5/2)*log(a/(b*x)) + 2*b**(5/2)*log(sqrt(a/(b*x) + 1) + 1)) + B*(-2*a**2*sqrt(b)*sqrt(a/(b*x) + 1)/(3*x) - 14*a*b**(3/2)*sqrt(a/(b*x) + 1)/3 - 5*a*b**(3/2)*log(a/(b*x))/2 + 5*a*b**(3/2)*log(sqrt(a/(b*x) + 1) + 1) + b**(5/2)*x*sqrt(a/(b*x) + 1))","A",0
508,1,192,0,162.688992," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(9/2),x)","A \left(- \frac{2 a^{2} \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{7 x^{3}} - \frac{6 a b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{7 x^{2}} - \frac{6 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{7 x} - \frac{2 b^{\frac{7}{2}} \sqrt{\frac{a}{b x} + 1}}{7 a}\right) + B \left(- \frac{2 a^{2} \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{5 x^{2}} - \frac{22 a b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{15 x} - \frac{46 b^{\frac{5}{2}} \sqrt{\frac{a}{b x} + 1}}{15} - b^{\frac{5}{2}} \log{\left(\frac{a}{b x} \right)} + 2 b^{\frac{5}{2}} \log{\left(\sqrt{\frac{a}{b x} + 1} + 1 \right)}\right)"," ",0,"A*(-2*a**2*sqrt(b)*sqrt(a/(b*x) + 1)/(7*x**3) - 6*a*b**(3/2)*sqrt(a/(b*x) + 1)/(7*x**2) - 6*b**(5/2)*sqrt(a/(b*x) + 1)/(7*x) - 2*b**(7/2)*sqrt(a/(b*x) + 1)/(7*a)) + B*(-2*a**2*sqrt(b)*sqrt(a/(b*x) + 1)/(5*x**2) - 22*a*b**(3/2)*sqrt(a/(b*x) + 1)/(15*x) - 46*b**(5/2)*sqrt(a/(b*x) + 1)/15 - b**(5/2)*log(a/(b*x)) + 2*b**(5/2)*log(sqrt(a/(b*x) + 1) + 1))","A",0
509,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
510,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
511,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
512,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(17/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
513,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/x**(19/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
514,1,360,0,103.151518," ","integrate(x**(7/2)*(B*x+A)/(b*x+a)**(1/2),x)","- \frac{35 A a^{\frac{7}{2}} \sqrt{x}}{64 b^{4} \sqrt{1 + \frac{b x}{a}}} - \frac{35 A a^{\frac{5}{2}} x^{\frac{3}{2}}}{192 b^{3} \sqrt{1 + \frac{b x}{a}}} + \frac{7 A a^{\frac{3}{2}} x^{\frac{5}{2}}}{96 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{A \sqrt{a} x^{\frac{7}{2}}}{24 b \sqrt{1 + \frac{b x}{a}}} + \frac{35 A a^{4} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{64 b^{\frac{9}{2}}} + \frac{A x^{\frac{9}{2}}}{4 \sqrt{a} \sqrt{1 + \frac{b x}{a}}} + \frac{63 B a^{\frac{9}{2}} \sqrt{x}}{128 b^{5} \sqrt{1 + \frac{b x}{a}}} + \frac{21 B a^{\frac{7}{2}} x^{\frac{3}{2}}}{128 b^{4} \sqrt{1 + \frac{b x}{a}}} - \frac{21 B a^{\frac{5}{2}} x^{\frac{5}{2}}}{320 b^{3} \sqrt{1 + \frac{b x}{a}}} + \frac{3 B a^{\frac{3}{2}} x^{\frac{7}{2}}}{80 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{B \sqrt{a} x^{\frac{9}{2}}}{40 b \sqrt{1 + \frac{b x}{a}}} - \frac{63 B a^{5} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{128 b^{\frac{11}{2}}} + \frac{B x^{\frac{11}{2}}}{5 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}"," ",0,"-35*A*a**(7/2)*sqrt(x)/(64*b**4*sqrt(1 + b*x/a)) - 35*A*a**(5/2)*x**(3/2)/(192*b**3*sqrt(1 + b*x/a)) + 7*A*a**(3/2)*x**(5/2)/(96*b**2*sqrt(1 + b*x/a)) - A*sqrt(a)*x**(7/2)/(24*b*sqrt(1 + b*x/a)) + 35*A*a**4*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(64*b**(9/2)) + A*x**(9/2)/(4*sqrt(a)*sqrt(1 + b*x/a)) + 63*B*a**(9/2)*sqrt(x)/(128*b**5*sqrt(1 + b*x/a)) + 21*B*a**(7/2)*x**(3/2)/(128*b**4*sqrt(1 + b*x/a)) - 21*B*a**(5/2)*x**(5/2)/(320*b**3*sqrt(1 + b*x/a)) + 3*B*a**(3/2)*x**(7/2)/(80*b**2*sqrt(1 + b*x/a)) - B*sqrt(a)*x**(9/2)/(40*b*sqrt(1 + b*x/a)) - 63*B*a**5*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(128*b**(11/2)) + B*x**(11/2)/(5*sqrt(a)*sqrt(1 + b*x/a))","A",0
515,1,303,0,60.584180," ","integrate(x**(5/2)*(B*x+A)/(b*x+a)**(1/2),x)","\frac{5 A a^{\frac{5}{2}} \sqrt{x}}{8 b^{3} \sqrt{1 + \frac{b x}{a}}} + \frac{5 A a^{\frac{3}{2}} x^{\frac{3}{2}}}{24 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{A \sqrt{a} x^{\frac{5}{2}}}{12 b \sqrt{1 + \frac{b x}{a}}} - \frac{5 A a^{3} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{8 b^{\frac{7}{2}}} + \frac{A x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{1 + \frac{b x}{a}}} - \frac{35 B a^{\frac{7}{2}} \sqrt{x}}{64 b^{4} \sqrt{1 + \frac{b x}{a}}} - \frac{35 B a^{\frac{5}{2}} x^{\frac{3}{2}}}{192 b^{3} \sqrt{1 + \frac{b x}{a}}} + \frac{7 B a^{\frac{3}{2}} x^{\frac{5}{2}}}{96 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{B \sqrt{a} x^{\frac{7}{2}}}{24 b \sqrt{1 + \frac{b x}{a}}} + \frac{35 B a^{4} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{64 b^{\frac{9}{2}}} + \frac{B x^{\frac{9}{2}}}{4 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}"," ",0,"5*A*a**(5/2)*sqrt(x)/(8*b**3*sqrt(1 + b*x/a)) + 5*A*a**(3/2)*x**(3/2)/(24*b**2*sqrt(1 + b*x/a)) - A*sqrt(a)*x**(5/2)/(12*b*sqrt(1 + b*x/a)) - 5*A*a**3*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(8*b**(7/2)) + A*x**(7/2)/(3*sqrt(a)*sqrt(1 + b*x/a)) - 35*B*a**(7/2)*sqrt(x)/(64*b**4*sqrt(1 + b*x/a)) - 35*B*a**(5/2)*x**(3/2)/(192*b**3*sqrt(1 + b*x/a)) + 7*B*a**(3/2)*x**(5/2)/(96*b**2*sqrt(1 + b*x/a)) - B*sqrt(a)*x**(7/2)/(24*b*sqrt(1 + b*x/a)) + 35*B*a**4*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(64*b**(9/2)) + B*x**(9/2)/(4*sqrt(a)*sqrt(1 + b*x/a))","A",0
516,1,245,0,36.741355," ","integrate(x**(3/2)*(B*x+A)/(b*x+a)**(1/2),x)","- \frac{3 A a^{\frac{3}{2}} \sqrt{x}}{4 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{A \sqrt{a} x^{\frac{3}{2}}}{4 b \sqrt{1 + \frac{b x}{a}}} + \frac{3 A a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4 b^{\frac{5}{2}}} + \frac{A x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{1 + \frac{b x}{a}}} + \frac{5 B a^{\frac{5}{2}} \sqrt{x}}{8 b^{3} \sqrt{1 + \frac{b x}{a}}} + \frac{5 B a^{\frac{3}{2}} x^{\frac{3}{2}}}{24 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{B \sqrt{a} x^{\frac{5}{2}}}{12 b \sqrt{1 + \frac{b x}{a}}} - \frac{5 B a^{3} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{8 b^{\frac{7}{2}}} + \frac{B x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}"," ",0,"-3*A*a**(3/2)*sqrt(x)/(4*b**2*sqrt(1 + b*x/a)) - A*sqrt(a)*x**(3/2)/(4*b*sqrt(1 + b*x/a)) + 3*A*a**2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(4*b**(5/2)) + A*x**(5/2)/(2*sqrt(a)*sqrt(1 + b*x/a)) + 5*B*a**(5/2)*sqrt(x)/(8*b**3*sqrt(1 + b*x/a)) + 5*B*a**(3/2)*x**(3/2)/(24*b**2*sqrt(1 + b*x/a)) - B*sqrt(a)*x**(5/2)/(12*b*sqrt(1 + b*x/a)) - 5*B*a**3*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(8*b**(7/2)) + B*x**(7/2)/(3*sqrt(a)*sqrt(1 + b*x/a))","B",0
517,1,156,0,7.819588," ","integrate((B*x+A)*x**(1/2)/(b*x+a)**(1/2),x)","\frac{A \sqrt{a} \sqrt{x} \sqrt{1 + \frac{b x}{a}}}{b} - \frac{A a \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{b^{\frac{3}{2}}} - \frac{3 B a^{\frac{3}{2}} \sqrt{x}}{4 b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{B \sqrt{a} x^{\frac{3}{2}}}{4 b \sqrt{1 + \frac{b x}{a}}} + \frac{3 B a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4 b^{\frac{5}{2}}} + \frac{B x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{1 + \frac{b x}{a}}}"," ",0,"A*sqrt(a)*sqrt(x)*sqrt(1 + b*x/a)/b - A*a*asinh(sqrt(b)*sqrt(x)/sqrt(a))/b**(3/2) - 3*B*a**(3/2)*sqrt(x)/(4*b**2*sqrt(1 + b*x/a)) - B*sqrt(a)*x**(3/2)/(4*b*sqrt(1 + b*x/a)) + 3*B*a**2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(4*b**(5/2)) + B*x**(5/2)/(2*sqrt(a)*sqrt(1 + b*x/a))","A",0
518,1,73,0,8.293949," ","integrate((B*x+A)/x**(1/2)/(b*x+a)**(1/2),x)","\frac{2 A \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{\sqrt{b}} + \frac{B \sqrt{a} \sqrt{x} \sqrt{1 + \frac{b x}{a}}}{b} - \frac{B a \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{b^{\frac{3}{2}}}"," ",0,"2*A*asinh(sqrt(b)*sqrt(x)/sqrt(a))/sqrt(b) + B*sqrt(a)*sqrt(x)*sqrt(1 + b*x/a)/b - B*a*asinh(sqrt(b)*sqrt(x)/sqrt(a))/b**(3/2)","A",0
519,1,44,0,15.063427," ","integrate((B*x+A)/x**(3/2)/(b*x+a)**(1/2),x)","- \frac{2 A \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{a} + \frac{2 B \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{\sqrt{b}}"," ",0,"-2*A*sqrt(b)*sqrt(a/(b*x) + 1)/a + 2*B*asinh(sqrt(b)*sqrt(x)/sqrt(a))/sqrt(b)","A",0
520,1,66,0,19.301822," ","integrate((B*x+A)/x**(5/2)/(b*x+a)**(1/2),x)","- \frac{2 A \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 a x} + \frac{4 A b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3 a^{2}} - \frac{2 B \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{a}"," ",0,"-2*A*sqrt(b)*sqrt(a/(b*x) + 1)/(3*a*x) + 4*A*b**(3/2)*sqrt(a/(b*x) + 1)/(3*a**2) - 2*B*sqrt(b)*sqrt(a/(b*x) + 1)/a","A",0
521,1,342,0,35.720840," ","integrate((B*x+A)/x**(7/2)/(b*x+a)**(1/2),x)","- \frac{6 A a^{4} b^{\frac{9}{2}} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{4 A a^{3} b^{\frac{11}{2}} x \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{6 A a^{2} b^{\frac{13}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{24 A a b^{\frac{15}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{16 A b^{\frac{17}{2}} x^{4} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{2 B \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{3 a x} + \frac{4 B b^{\frac{3}{2}} \sqrt{\frac{a}{b x} + 1}}{3 a^{2}}"," ",0,"-6*A*a**4*b**(9/2)*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 4*A*a**3*b**(11/2)*x*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 6*A*a**2*b**(13/2)*x**2*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 24*A*a*b**(15/2)*x**3*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 16*A*b**(17/2)*x**4*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 2*B*sqrt(b)*sqrt(a/(b*x) + 1)/(3*a*x) + 4*B*b**(3/2)*sqrt(a/(b*x) + 1)/(3*a**2)","B",0
522,1,796,0,59.757646," ","integrate((B*x+A)/x**(9/2)/(b*x+a)**(1/2),x)","- \frac{10 A a^{6} b^{\frac{19}{2}} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} - \frac{18 A a^{5} b^{\frac{21}{2}} x \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} - \frac{10 A a^{4} b^{\frac{23}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{10 A a^{3} b^{\frac{25}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{60 A a^{2} b^{\frac{27}{2}} x^{4} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{80 A a b^{\frac{29}{2}} x^{5} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{32 A b^{\frac{31}{2}} x^{6} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} - \frac{6 B a^{4} b^{\frac{9}{2}} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{4 B a^{3} b^{\frac{11}{2}} x \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{6 B a^{2} b^{\frac{13}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{24 B a b^{\frac{15}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}} - \frac{16 B b^{\frac{17}{2}} x^{4} \sqrt{\frac{a}{b x} + 1}}{15 a^{5} b^{4} x^{2} + 30 a^{4} b^{5} x^{3} + 15 a^{3} b^{6} x^{4}}"," ",0,"-10*A*a**6*b**(19/2)*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) - 18*A*a**5*b**(21/2)*x*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) - 10*A*a**4*b**(23/2)*x**2*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 10*A*a**3*b**(25/2)*x**3*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 60*A*a**2*b**(27/2)*x**4*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 80*A*a*b**(29/2)*x**5*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 32*A*b**(31/2)*x**6*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) - 6*B*a**4*b**(9/2)*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 4*B*a**3*b**(11/2)*x*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 6*B*a**2*b**(13/2)*x**2*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 24*B*a*b**(15/2)*x**3*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4) - 16*B*b**(17/2)*x**4*sqrt(a/(b*x) + 1)/(15*a**5*b**4*x**2 + 30*a**4*b**5*x**3 + 15*a**3*b**6*x**4)","B",0
523,1,1255,0,107.066518," ","integrate((B*x+A)/x**(11/2)/(b*x+a)**(1/2),x)","- \frac{70 A a^{8} b^{\frac{33}{2}} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{200 A a^{7} b^{\frac{35}{2}} x \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{196 A a^{6} b^{\frac{37}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{56 A a^{5} b^{\frac{39}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{70 A a^{4} b^{\frac{41}{2}} x^{4} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{560 A a^{3} b^{\frac{43}{2}} x^{5} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{1120 A a^{2} b^{\frac{45}{2}} x^{6} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{896 A a b^{\frac{47}{2}} x^{7} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{256 A b^{\frac{49}{2}} x^{8} \sqrt{\frac{a}{b x} + 1}}{315 a^{9} b^{16} x^{4} + 1260 a^{8} b^{17} x^{5} + 1890 a^{7} b^{18} x^{6} + 1260 a^{6} b^{19} x^{7} + 315 a^{5} b^{20} x^{8}} - \frac{10 B a^{6} b^{\frac{19}{2}} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} - \frac{18 B a^{5} b^{\frac{21}{2}} x \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} - \frac{10 B a^{4} b^{\frac{23}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{10 B a^{3} b^{\frac{25}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{60 B a^{2} b^{\frac{27}{2}} x^{4} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{80 B a b^{\frac{29}{2}} x^{5} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}} + \frac{32 B b^{\frac{31}{2}} x^{6} \sqrt{\frac{a}{b x} + 1}}{35 a^{7} b^{9} x^{3} + 105 a^{6} b^{10} x^{4} + 105 a^{5} b^{11} x^{5} + 35 a^{4} b^{12} x^{6}}"," ",0,"-70*A*a**8*b**(33/2)*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 200*A*a**7*b**(35/2)*x*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 196*A*a**6*b**(37/2)*x**2*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 56*A*a**5*b**(39/2)*x**3*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 70*A*a**4*b**(41/2)*x**4*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 560*A*a**3*b**(43/2)*x**5*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 1120*A*a**2*b**(45/2)*x**6*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 896*A*a*b**(47/2)*x**7*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 256*A*b**(49/2)*x**8*sqrt(a/(b*x) + 1)/(315*a**9*b**16*x**4 + 1260*a**8*b**17*x**5 + 1890*a**7*b**18*x**6 + 1260*a**6*b**19*x**7 + 315*a**5*b**20*x**8) - 10*B*a**6*b**(19/2)*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) - 18*B*a**5*b**(21/2)*x*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) - 10*B*a**4*b**(23/2)*x**2*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 10*B*a**3*b**(25/2)*x**3*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 60*B*a**2*b**(27/2)*x**4*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 80*B*a*b**(29/2)*x**5*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6) + 32*B*b**(31/2)*x**6*sqrt(a/(b*x) + 1)/(35*a**7*b**9*x**3 + 105*a**6*b**10*x**4 + 105*a**5*b**11*x**5 + 35*a**4*b**12*x**6)","B",0
524,-1,0,0,0.000000," ","integrate((B*x+A)/x**(13/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
525,-1,0,0,0.000000," ","integrate((B*x+A)/x**(15/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
526,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x+A)/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
527,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x+A)/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
528,1,182,0,59.061142," ","integrate(x**(3/2)*(B*x+A)/(b*x+a)**(3/2),x)","A \left(\frac{3 \sqrt{a} \sqrt{x}}{b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{3 a \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{b^{\frac{5}{2}}} + \frac{x^{\frac{3}{2}}}{\sqrt{a} b \sqrt{1 + \frac{b x}{a}}}\right) + B \left(- \frac{15 a^{\frac{3}{2}} \sqrt{x}}{4 b^{3} \sqrt{1 + \frac{b x}{a}}} - \frac{5 \sqrt{a} x^{\frac{3}{2}}}{4 b^{2} \sqrt{1 + \frac{b x}{a}}} + \frac{15 a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{4 b^{\frac{7}{2}}} + \frac{x^{\frac{5}{2}}}{2 \sqrt{a} b \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"A*(3*sqrt(a)*sqrt(x)/(b**2*sqrt(1 + b*x/a)) - 3*a*asinh(sqrt(b)*sqrt(x)/sqrt(a))/b**(5/2) + x**(3/2)/(sqrt(a)*b*sqrt(1 + b*x/a))) + B*(-15*a**(3/2)*sqrt(x)/(4*b**3*sqrt(1 + b*x/a)) - 5*sqrt(a)*x**(3/2)/(4*b**2*sqrt(1 + b*x/a)) + 15*a**2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(4*b**(7/2)) + x**(5/2)/(2*sqrt(a)*b*sqrt(1 + b*x/a)))","A",0
529,1,122,0,9.101822," ","integrate((B*x+A)*x**(1/2)/(b*x+a)**(3/2),x)","A \left(\frac{2 \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{b^{\frac{3}{2}}} - \frac{2 \sqrt{x}}{\sqrt{a} b \sqrt{1 + \frac{b x}{a}}}\right) + B \left(\frac{3 \sqrt{a} \sqrt{x}}{b^{2} \sqrt{1 + \frac{b x}{a}}} - \frac{3 a \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{b^{\frac{5}{2}}} + \frac{x^{\frac{3}{2}}}{\sqrt{a} b \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"A*(2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/b**(3/2) - 2*sqrt(x)/(sqrt(a)*b*sqrt(1 + b*x/a))) + B*(3*sqrt(a)*sqrt(x)/(b**2*sqrt(1 + b*x/a)) - 3*a*asinh(sqrt(b)*sqrt(x)/sqrt(a))/b**(5/2) + x**(3/2)/(sqrt(a)*b*sqrt(1 + b*x/a)))","A",0
530,1,68,0,19.503611," ","integrate((B*x+A)/(b*x+a)**(3/2)/x**(1/2),x)","\frac{2 A}{a \sqrt{b} \sqrt{\frac{a}{b x} + 1}} + B \left(\frac{2 \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{b^{\frac{3}{2}}} - \frac{2 \sqrt{x}}{\sqrt{a} b \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"2*A/(a*sqrt(b)*sqrt(a/(b*x) + 1)) + B*(2*asinh(sqrt(b)*sqrt(x)/sqrt(a))/b**(3/2) - 2*sqrt(x)/(sqrt(a)*b*sqrt(1 + b*x/a)))","A",0
531,1,63,0,38.160670," ","integrate((B*x+A)/x**(3/2)/(b*x+a)**(3/2),x)","A \left(- \frac{2}{a \sqrt{b} x \sqrt{\frac{a}{b x} + 1}} - \frac{4 \sqrt{b}}{a^{2} \sqrt{\frac{a}{b x} + 1}}\right) + \frac{2 B}{a \sqrt{b} \sqrt{\frac{a}{b x} + 1}}"," ",0,"A*(-2/(a*sqrt(b)*x*sqrt(a/(b*x) + 1)) - 4*sqrt(b)/(a**2*sqrt(a/(b*x) + 1))) + 2*B/(a*sqrt(b)*sqrt(a/(b*x) + 1))","A",0
532,1,265,0,68.060695," ","integrate((B*x+A)/x**(5/2)/(b*x+a)**(3/2),x)","A \left(- \frac{2 a^{3} b^{\frac{9}{2}} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}} + \frac{6 a^{2} b^{\frac{11}{2}} x \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}} + \frac{24 a b^{\frac{13}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}} + \frac{16 b^{\frac{15}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}}\right) + B \left(- \frac{2}{a \sqrt{b} x \sqrt{\frac{a}{b x} + 1}} - \frac{4 \sqrt{b}}{a^{2} \sqrt{\frac{a}{b x} + 1}}\right)"," ",0,"A*(-2*a**3*b**(9/2)*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3) + 6*a**2*b**(11/2)*x*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3) + 24*a*b**(13/2)*x**2*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3) + 16*b**(15/2)*x**3*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3)) + B*(-2/(a*sqrt(b)*x*sqrt(a/(b*x) + 1)) - 4*sqrt(b)/(a**2*sqrt(a/(b*x) + 1)))","B",0
533,1,573,0,158.042757," ","integrate((B*x+A)/x**(7/2)/(b*x+a)**(3/2),x)","A \left(- \frac{2 a^{5} b^{\frac{19}{2}} \sqrt{\frac{a}{b x} + 1}}{5 a^{7} b^{9} x^{2} + 15 a^{6} b^{10} x^{3} + 15 a^{5} b^{11} x^{4} + 5 a^{4} b^{12} x^{5}} - \frac{10 a^{3} b^{\frac{23}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{5 a^{7} b^{9} x^{2} + 15 a^{6} b^{10} x^{3} + 15 a^{5} b^{11} x^{4} + 5 a^{4} b^{12} x^{5}} - \frac{60 a^{2} b^{\frac{25}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{5 a^{7} b^{9} x^{2} + 15 a^{6} b^{10} x^{3} + 15 a^{5} b^{11} x^{4} + 5 a^{4} b^{12} x^{5}} - \frac{80 a b^{\frac{27}{2}} x^{4} \sqrt{\frac{a}{b x} + 1}}{5 a^{7} b^{9} x^{2} + 15 a^{6} b^{10} x^{3} + 15 a^{5} b^{11} x^{4} + 5 a^{4} b^{12} x^{5}} - \frac{32 b^{\frac{29}{2}} x^{5} \sqrt{\frac{a}{b x} + 1}}{5 a^{7} b^{9} x^{2} + 15 a^{6} b^{10} x^{3} + 15 a^{5} b^{11} x^{4} + 5 a^{4} b^{12} x^{5}}\right) + B \left(- \frac{2 a^{3} b^{\frac{9}{2}} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}} + \frac{6 a^{2} b^{\frac{11}{2}} x \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}} + \frac{24 a b^{\frac{13}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}} + \frac{16 b^{\frac{15}{2}} x^{3} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} x + 6 a^{4} b^{5} x^{2} + 3 a^{3} b^{6} x^{3}}\right)"," ",0,"A*(-2*a**5*b**(19/2)*sqrt(a/(b*x) + 1)/(5*a**7*b**9*x**2 + 15*a**6*b**10*x**3 + 15*a**5*b**11*x**4 + 5*a**4*b**12*x**5) - 10*a**3*b**(23/2)*x**2*sqrt(a/(b*x) + 1)/(5*a**7*b**9*x**2 + 15*a**6*b**10*x**3 + 15*a**5*b**11*x**4 + 5*a**4*b**12*x**5) - 60*a**2*b**(25/2)*x**3*sqrt(a/(b*x) + 1)/(5*a**7*b**9*x**2 + 15*a**6*b**10*x**3 + 15*a**5*b**11*x**4 + 5*a**4*b**12*x**5) - 80*a*b**(27/2)*x**4*sqrt(a/(b*x) + 1)/(5*a**7*b**9*x**2 + 15*a**6*b**10*x**3 + 15*a**5*b**11*x**4 + 5*a**4*b**12*x**5) - 32*b**(29/2)*x**5*sqrt(a/(b*x) + 1)/(5*a**7*b**9*x**2 + 15*a**6*b**10*x**3 + 15*a**5*b**11*x**4 + 5*a**4*b**12*x**5)) + B*(-2*a**3*b**(9/2)*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3) + 6*a**2*b**(11/2)*x*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3) + 24*a*b**(13/2)*x**2*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3) + 16*b**(15/2)*x**3*sqrt(a/(b*x) + 1)/(3*a**5*b**4*x + 6*a**4*b**5*x**2 + 3*a**3*b**6*x**3))","B",0
534,-1,0,0,0.000000," ","integrate((B*x+A)/x**(9/2)/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
535,-1,0,0,0.000000," ","integrate((B*x+A)/x**(11/2)/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
536,-1,0,0,0.000000," ","integrate((B*x+A)/x**(13/2)/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
537,-1,0,0,0.000000," ","integrate(x**(7/2)*(B*x+A)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
538,-1,0,0,0.000000," ","integrate(x**(5/2)*(B*x+A)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
539,-1,0,0,0.000000," ","integrate(x**(3/2)*(B*x+A)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
540,1,376,0,17.430374," ","integrate((B*x+A)*x**(1/2)/(b*x+a)**(5/2),x)","\frac{2 A x^{\frac{3}{2}}}{3 a^{\frac{5}{2}} \sqrt{1 + \frac{b x}{a}} + 3 a^{\frac{3}{2}} b x \sqrt{1 + \frac{b x}{a}}} + B \left(\frac{6 a^{\frac{39}{2}} b^{11} x^{\frac{27}{2}} \sqrt{1 + \frac{b x}{a}} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{3 a^{\frac{39}{2}} b^{\frac{27}{2}} x^{\frac{27}{2}} \sqrt{1 + \frac{b x}{a}} + 3 a^{\frac{37}{2}} b^{\frac{29}{2}} x^{\frac{29}{2}} \sqrt{1 + \frac{b x}{a}}} + \frac{6 a^{\frac{37}{2}} b^{12} x^{\frac{29}{2}} \sqrt{1 + \frac{b x}{a}} \operatorname{asinh}{\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}} \right)}}{3 a^{\frac{39}{2}} b^{\frac{27}{2}} x^{\frac{27}{2}} \sqrt{1 + \frac{b x}{a}} + 3 a^{\frac{37}{2}} b^{\frac{29}{2}} x^{\frac{29}{2}} \sqrt{1 + \frac{b x}{a}}} - \frac{6 a^{19} b^{\frac{23}{2}} x^{14}}{3 a^{\frac{39}{2}} b^{\frac{27}{2}} x^{\frac{27}{2}} \sqrt{1 + \frac{b x}{a}} + 3 a^{\frac{37}{2}} b^{\frac{29}{2}} x^{\frac{29}{2}} \sqrt{1 + \frac{b x}{a}}} - \frac{8 a^{18} b^{\frac{25}{2}} x^{15}}{3 a^{\frac{39}{2}} b^{\frac{27}{2}} x^{\frac{27}{2}} \sqrt{1 + \frac{b x}{a}} + 3 a^{\frac{37}{2}} b^{\frac{29}{2}} x^{\frac{29}{2}} \sqrt{1 + \frac{b x}{a}}}\right)"," ",0,"2*A*x**(3/2)/(3*a**(5/2)*sqrt(1 + b*x/a) + 3*a**(3/2)*b*x*sqrt(1 + b*x/a)) + B*(6*a**(39/2)*b**11*x**(27/2)*sqrt(1 + b*x/a)*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(3*a**(39/2)*b**(27/2)*x**(27/2)*sqrt(1 + b*x/a) + 3*a**(37/2)*b**(29/2)*x**(29/2)*sqrt(1 + b*x/a)) + 6*a**(37/2)*b**12*x**(29/2)*sqrt(1 + b*x/a)*asinh(sqrt(b)*sqrt(x)/sqrt(a))/(3*a**(39/2)*b**(27/2)*x**(27/2)*sqrt(1 + b*x/a) + 3*a**(37/2)*b**(29/2)*x**(29/2)*sqrt(1 + b*x/a)) - 6*a**19*b**(23/2)*x**14/(3*a**(39/2)*b**(27/2)*x**(27/2)*sqrt(1 + b*x/a) + 3*a**(37/2)*b**(29/2)*x**(29/2)*sqrt(1 + b*x/a)) - 8*a**18*b**(25/2)*x**15/(3*a**(39/2)*b**(27/2)*x**(27/2)*sqrt(1 + b*x/a) + 3*a**(37/2)*b**(29/2)*x**(29/2)*sqrt(1 + b*x/a)))","B",0
541,1,139,0,39.105422," ","integrate((B*x+A)/(b*x+a)**(5/2)/x**(1/2),x)","A \left(\frac{6 a}{3 a^{3} \sqrt{b} \sqrt{\frac{a}{b x} + 1} + 3 a^{2} b^{\frac{3}{2}} x \sqrt{\frac{a}{b x} + 1}} + \frac{4 b x}{3 a^{3} \sqrt{b} \sqrt{\frac{a}{b x} + 1} + 3 a^{2} b^{\frac{3}{2}} x \sqrt{\frac{a}{b x} + 1}}\right) + \frac{2 B x^{\frac{3}{2}}}{3 a^{\frac{5}{2}} \sqrt{1 + \frac{b x}{a}} + 3 a^{\frac{3}{2}} b x \sqrt{1 + \frac{b x}{a}}}"," ",0,"A*(6*a/(3*a**3*sqrt(b)*sqrt(a/(b*x) + 1) + 3*a**2*b**(3/2)*x*sqrt(a/(b*x) + 1)) + 4*b*x/(3*a**3*sqrt(b)*sqrt(a/(b*x) + 1) + 3*a**2*b**(3/2)*x*sqrt(a/(b*x) + 1))) + 2*B*x**(3/2)/(3*a**(5/2)*sqrt(1 + b*x/a) + 3*a**(3/2)*b*x*sqrt(1 + b*x/a))","B",0
542,1,250,0,156.230262," ","integrate((B*x+A)/x**(3/2)/(b*x+a)**(5/2),x)","A \left(- \frac{6 a^{2} b^{\frac{9}{2}} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} + 6 a^{4} b^{5} x + 3 a^{3} b^{6} x^{2}} - \frac{24 a b^{\frac{11}{2}} x \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} + 6 a^{4} b^{5} x + 3 a^{3} b^{6} x^{2}} - \frac{16 b^{\frac{13}{2}} x^{2} \sqrt{\frac{a}{b x} + 1}}{3 a^{5} b^{4} + 6 a^{4} b^{5} x + 3 a^{3} b^{6} x^{2}}\right) + B \left(\frac{6 a}{3 a^{3} \sqrt{b} \sqrt{\frac{a}{b x} + 1} + 3 a^{2} b^{\frac{3}{2}} x \sqrt{\frac{a}{b x} + 1}} + \frac{4 b x}{3 a^{3} \sqrt{b} \sqrt{\frac{a}{b x} + 1} + 3 a^{2} b^{\frac{3}{2}} x \sqrt{\frac{a}{b x} + 1}}\right)"," ",0,"A*(-6*a**2*b**(9/2)*sqrt(a/(b*x) + 1)/(3*a**5*b**4 + 6*a**4*b**5*x + 3*a**3*b**6*x**2) - 24*a*b**(11/2)*x*sqrt(a/(b*x) + 1)/(3*a**5*b**4 + 6*a**4*b**5*x + 3*a**3*b**6*x**2) - 16*b**(13/2)*x**2*sqrt(a/(b*x) + 1)/(3*a**5*b**4 + 6*a**4*b**5*x + 3*a**3*b**6*x**2)) + B*(6*a/(3*a**3*sqrt(b)*sqrt(a/(b*x) + 1) + 3*a**2*b**(3/2)*x*sqrt(a/(b*x) + 1)) + 4*b*x/(3*a**3*sqrt(b)*sqrt(a/(b*x) + 1) + 3*a**2*b**(3/2)*x*sqrt(a/(b*x) + 1)))","B",0
543,-1,0,0,0.000000," ","integrate((B*x+A)/x**(5/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
544,-1,0,0,0.000000," ","integrate((B*x+A)/x**(7/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
545,-1,0,0,0.000000," ","integrate((B*x+A)/x**(9/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
546,-1,0,0,0.000000," ","integrate((B*x+A)/x**(11/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
547,0,0,0,0.000000," ","integrate(x**3*(b*x+a)**(1/2)*(d*x+c)**(1/2),x)","\int x^{3} \sqrt{a + b x} \sqrt{c + d x}\, dx"," ",0,"Integral(x**3*sqrt(a + b*x)*sqrt(c + d*x), x)","F",0
548,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(1/2)*(d*x+c)**(1/2),x)","\int x^{2} \sqrt{a + b x} \sqrt{c + d x}\, dx"," ",0,"Integral(x**2*sqrt(a + b*x)*sqrt(c + d*x), x)","F",0
549,0,0,0,0.000000," ","integrate(x*(b*x+a)**(1/2)*(d*x+c)**(1/2),x)","\int x \sqrt{a + b x} \sqrt{c + d x}\, dx"," ",0,"Integral(x*sqrt(a + b*x)*sqrt(c + d*x), x)","F",0
550,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/2),x)","\int \sqrt{a + b x} \sqrt{c + d x}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x), x)","F",0
551,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/2)/x,x)","\int \frac{\sqrt{a + b x} \sqrt{c + d x}}{x}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x)/x, x)","F",0
552,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/2)/x**2,x)","\int \frac{\sqrt{a + b x} \sqrt{c + d x}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x)/x**2, x)","F",0
553,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/2)/x**3,x)","\int \frac{\sqrt{a + b x} \sqrt{c + d x}}{x^{3}}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x)/x**3, x)","F",0
554,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/2)/x**4,x)","\int \frac{\sqrt{a + b x} \sqrt{c + d x}}{x^{4}}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x)/x**4, x)","F",0
555,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/2)/x**5,x)","\int \frac{\sqrt{a + b x} \sqrt{c + d x}}{x^{5}}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x)/x**5, x)","F",0
556,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/2)/x**6,x)","\int \frac{\sqrt{a + b x} \sqrt{c + d x}}{x^{6}}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x)/x**6, x)","F",0
557,-1,0,0,0.000000," ","integrate(x**2*(d*x+c)**(3/2)*(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
558,-1,0,0,0.000000," ","integrate(x*(d*x+c)**(3/2)*(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
559,-1,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
560,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*(b*x+a)**(1/2)/x,x)","\int \frac{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(3/2)/x, x)","F",0
561,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*(b*x+a)**(1/2)/x**2,x)","\int \frac{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(3/2)/x**2, x)","F",0
562,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*(b*x+a)**(1/2)/x**3,x)","\int \frac{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(3/2)/x**3, x)","F",0
563,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*(b*x+a)**(1/2)/x**4,x)","\int \frac{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(3/2)/x**4, x)","F",0
564,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)*(b*x+a)**(1/2)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
565,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)*(b*x+a)**(1/2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
566,-1,0,0,0.000000," ","integrate(x**2*(d*x+c)**(5/2)*(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
567,-1,0,0,0.000000," ","integrate(x*(d*x+c)**(5/2)*(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
568,-1,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
569,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)*(b*x+a)**(1/2)/x,x)","\int \frac{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}{x}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(5/2)/x, x)","F",0
570,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)*(b*x+a)**(1/2)/x**2,x)","\int \frac{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(5/2)/x**2, x)","F",0
571,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)*(b*x+a)**(1/2)/x**3,x)","\int \frac{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(5/2)/x**3, x)","F",0
572,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)*(b*x+a)**(1/2)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
573,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)*(b*x+a)**(1/2)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
574,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)*(b*x+a)**(1/2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
575,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)*(b*x+a)**(1/2)/x**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
576,-1,0,0,0.000000," ","integrate(x**3*(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
577,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
578,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
579,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{\sqrt{a + b x}}{\sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(a + b*x)/sqrt(c + d*x), x)","F",0
580,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x/(d*x+c)**(1/2),x)","\int \frac{\sqrt{a + b x}}{x \sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(x*sqrt(c + d*x)), x)","F",0
581,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**2/(d*x+c)**(1/2),x)","\int \frac{\sqrt{a + b x}}{x^{2} \sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(x**2*sqrt(c + d*x)), x)","F",0
582,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**3/(d*x+c)**(1/2),x)","\int \frac{\sqrt{a + b x}}{x^{3} \sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(x**3*sqrt(c + d*x)), x)","F",0
583,-1,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**4/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
584,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**5/(d*x+c)**(1/2),x)","\int \frac{\sqrt{a + b x}}{x^{5} \sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(x**5*sqrt(c + d*x)), x)","F",0
585,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(1/2)/(d*x+c)**(3/2),x)","\int \frac{x^{2} \sqrt{a + b x}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*sqrt(a + b*x)/(c + d*x)**(3/2), x)","F",0
586,0,0,0,0.000000," ","integrate(x*(b*x+a)**(1/2)/(d*x+c)**(3/2),x)","\int \frac{x \sqrt{a + b x}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*sqrt(a + b*x)/(c + d*x)**(3/2), x)","F",0
587,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/(d*x+c)**(3/2),x)","\int \frac{\sqrt{a + b x}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(c + d*x)**(3/2), x)","F",0
588,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x/(d*x+c)**(3/2),x)","\int \frac{\sqrt{a + b x}}{x \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(x*(c + d*x)**(3/2)), x)","F",0
589,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**2/(d*x+c)**(3/2),x)","\int \frac{\sqrt{a + b x}}{x^{2} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(x**2*(c + d*x)**(3/2)), x)","F",0
590,-1,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**3/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
591,-1,0,0,0.000000," ","integrate(x**3*(b*x+a)**(1/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
592,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(1/2)/(d*x+c)**(5/2),x)","\int \frac{x^{2} \sqrt{a + b x}}{\left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2*sqrt(a + b*x)/(c + d*x)**(5/2), x)","F",0
593,0,0,0,0.000000," ","integrate(x*(b*x+a)**(1/2)/(d*x+c)**(5/2),x)","\int \frac{x \sqrt{a + b x}}{\left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x*sqrt(a + b*x)/(c + d*x)**(5/2), x)","F",0
594,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/(d*x+c)**(5/2),x)","\int \frac{\sqrt{a + b x}}{\left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(c + d*x)**(5/2), x)","F",0
595,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x/(d*x+c)**(5/2),x)","\int \frac{\sqrt{a + b x}}{x \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(x*(c + d*x)**(5/2)), x)","F",0
596,-1,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**2/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
597,-1,0,0,0.000000," ","integrate((b*x+a)**(1/2)/x**3/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
598,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(3/2)*(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
599,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(3/2)*(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
600,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
601,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(1/2)/x,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x}}{x}\, dx"," ",0,"Integral((a + b*x)**(3/2)*sqrt(c + d*x)/x, x)","F",0
602,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(1/2)/x**2,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*sqrt(c + d*x)/x**2, x)","F",0
603,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(1/2)/x**3,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*sqrt(c + d*x)/x**3, x)","F",0
604,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(1/2)/x**4,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x}}{x^{4}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*sqrt(c + d*x)/x**4, x)","F",0
605,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(1/2)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
606,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(1/2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
607,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(3/2)*(d*x+c)**(3/2),x)","\int x^{2} \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a + b*x)**(3/2)*(c + d*x)**(3/2), x)","F",0
608,0,0,0,0.000000," ","integrate(x*(b*x+a)**(3/2)*(d*x+c)**(3/2),x)","\int x \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a + b*x)**(3/2)*(c + d*x)**(3/2), x)","F",0
609,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(3/2),x)","\int \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(3/2), x)","F",0
610,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(3/2)/x,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(3/2)/x, x)","F",0
611,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(3/2)/x**2,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(3/2)/x**2, x)","F",0
612,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(3/2)/x**3,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(3/2)/x**3, x)","F",0
613,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(3/2)/x**4,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(3/2)/x**4, x)","F",0
614,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(3/2)/x**5,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{5}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(3/2)/x**5, x)","F",0
615,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(3/2)/x**6,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{6}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(3/2)/x**6, x)","F",0
616,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(3/2)*(d*x+c)**(5/2),x)","\int x^{2} \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x**2*(a + b*x)**(3/2)*(c + d*x)**(5/2), x)","F",0
617,0,0,0,0.000000," ","integrate(x*(b*x+a)**(3/2)*(d*x+c)**(5/2),x)","\int x \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x*(a + b*x)**(3/2)*(c + d*x)**(5/2), x)","F",0
618,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2),x)","\int \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2), x)","F",0
619,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2)/x,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2)/x, x)","F",0
620,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2)/x**2,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2)/x**2, x)","F",0
621,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2)/x**3,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2)/x**3, x)","F",0
622,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2)/x**4,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{4}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2)/x**4, x)","F",0
623,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2)/x**5,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{5}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2)/x**5, x)","F",0
624,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2)/x**6,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{6}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2)/x**6, x)","F",0
625,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(d*x+c)**(5/2)/x**7,x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{7}}\, dx"," ",0,"Integral((a + b*x)**(3/2)*(c + d*x)**(5/2)/x**7, x)","F",0
626,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(3/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
627,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(3/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
628,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{\sqrt{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/sqrt(c + d*x), x)","F",0
629,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{x \sqrt{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/(x*sqrt(c + d*x)), x)","F",0
630,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**2/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{x^{2} \sqrt{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/(x**2*sqrt(c + d*x)), x)","F",0
631,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**3/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{x^{3} \sqrt{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/(x**3*sqrt(c + d*x)), x)","F",0
632,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**4/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
633,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**5/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
634,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{x^{2} \left(a + b x\right)^{\frac{3}{2}}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*x)**(3/2)/(c + d*x)**(3/2), x)","F",0
635,0,0,0,0.000000," ","integrate(x*(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{x \left(a + b x\right)^{\frac{3}{2}}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(a + b*x)**(3/2)/(c + d*x)**(3/2), x)","F",0
636,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/(c + d*x)**(3/2), x)","F",0
637,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x/(d*x+c)**(3/2),x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{x \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/(x*(c + d*x)**(3/2)), x)","F",0
638,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**2/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
639,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**3/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
640,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**4/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
641,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
642,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
643,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{\left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/(c + d*x)**(5/2), x)","F",0
644,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
645,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**2/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
646,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)/x**3/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
647,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(5/2)*(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
648,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(5/2)*(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
649,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
650,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(1/2)/x,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \sqrt{c + d x}}{x}\, dx"," ",0,"Integral((a + b*x)**(5/2)*sqrt(c + d*x)/x, x)","F",0
651,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(1/2)/x**2,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \sqrt{c + d x}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*sqrt(c + d*x)/x**2, x)","F",0
652,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(1/2)/x**3,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \sqrt{c + d x}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*sqrt(c + d*x)/x**3, x)","F",0
653,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(1/2)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
654,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(1/2)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
655,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(1/2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
656,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(5/2)*(d*x+c)**(3/2),x)","\int x^{2} \left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a + b*x)**(5/2)*(c + d*x)**(3/2), x)","F",0
657,0,0,0,0.000000," ","integrate(x*(b*x+a)**(5/2)*(d*x+c)**(3/2),x)","\int x \left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a + b*x)**(5/2)*(c + d*x)**(3/2), x)","F",0
658,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(3/2),x)","\int \left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(3/2), x)","F",0
659,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(3/2)/x,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(3/2)/x, x)","F",0
660,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(3/2)/x**2,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(3/2)/x**2, x)","F",0
661,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(3/2)/x**3,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(3/2)/x**3, x)","F",0
662,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(3/2)/x**4,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(3/2)/x**4, x)","F",0
663,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(3/2)/x**5,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{5}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(3/2)/x**5, x)","F",0
664,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(3/2)/x**6,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{3}{2}}}{x^{6}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(3/2)/x**6, x)","F",0
665,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(5/2)*(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
666,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2),x)","\int \left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(5/2), x)","F",0
667,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
668,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2)/x**2,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(5/2)/x**2, x)","F",0
669,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2)/x**3,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(5/2)/x**3, x)","F",0
670,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2)/x**4,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{4}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(5/2)/x**4, x)","F",0
671,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2)/x**5,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{5}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(5/2)/x**5, x)","F",0
672,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2)/x**6,x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}{x^{6}}\, dx"," ",0,"Integral((a + b*x)**(5/2)*(c + d*x)**(5/2)/x**6, x)","F",0
673,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(d*x+c)**(5/2)/x**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
674,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(5/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
675,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(5/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
676,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
677,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}}}{x \sqrt{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(5/2)/(x*sqrt(c + d*x)), x)","F",0
678,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**2/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}}}{x^{2} \sqrt{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(5/2)/(x**2*sqrt(c + d*x)), x)","F",0
679,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**3/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}}}{x^{3} \sqrt{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(5/2)/(x**3*sqrt(c + d*x)), x)","F",0
680,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**4/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
681,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**5/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
682,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(5/2)/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
683,0,0,0,0.000000," ","integrate(x*(b*x+a)**(5/2)/(d*x+c)**(3/2),x)","\int \frac{x \left(a + b x\right)^{\frac{5}{2}}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(a + b*x)**(5/2)/(c + d*x)**(3/2), x)","F",0
684,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)/(d*x+c)**(3/2),x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x)**(5/2)/(c + d*x)**(3/2), x)","F",0
685,0,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x/(d*x+c)**(3/2),x)","\int \frac{\left(a + b x\right)^{\frac{5}{2}}}{x \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*x)**(5/2)/(x*(c + d*x)**(3/2)), x)","F",0
686,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**2/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
687,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**3/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
688,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**4/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
689,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**5/(d*x+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
690,-1,0,0,0.000000," ","integrate(x**3*(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
691,-1,0,0,0.000000," ","integrate(x**2*(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
692,-1,0,0,0.000000," ","integrate(x*(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
693,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
694,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
695,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**2/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
696,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**3/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
697,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**4/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
698,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)/x**5/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
699,-1,0,0,0.000000," ","integrate(x**2*(d*x+c)**(1/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
700,-1,0,0,0.000000," ","integrate(x*(d*x+c)**(1/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
701,0,0,0,0.000000," ","integrate((d*x+c)**(1/2)/(b*x+a)**(1/2),x)","\int \frac{\sqrt{c + d x}}{\sqrt{a + b x}}\, dx"," ",0,"Integral(sqrt(c + d*x)/sqrt(a + b*x), x)","F",0
702,0,0,0,0.000000," ","integrate((d*x+c)**(1/2)/x/(b*x+a)**(1/2),x)","\int \frac{\sqrt{c + d x}}{x \sqrt{a + b x}}\, dx"," ",0,"Integral(sqrt(c + d*x)/(x*sqrt(a + b*x)), x)","F",0
703,0,0,0,0.000000," ","integrate((d*x+c)**(1/2)/x**2/(b*x+a)**(1/2),x)","\int \frac{\sqrt{c + d x}}{x^{2} \sqrt{a + b x}}\, dx"," ",0,"Integral(sqrt(c + d*x)/(x**2*sqrt(a + b*x)), x)","F",0
704,0,0,0,0.000000," ","integrate((d*x+c)**(1/2)/x**3/(b*x+a)**(1/2),x)","\int \frac{\sqrt{c + d x}}{x^{3} \sqrt{a + b x}}\, dx"," ",0,"Integral(sqrt(c + d*x)/(x**3*sqrt(a + b*x)), x)","F",0
705,-1,0,0,0.000000," ","integrate((d*x+c)**(1/2)/x**4/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
706,-1,0,0,0.000000," ","integrate(x**2*(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
707,-1,0,0,0.000000," ","integrate(x*(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
708,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{\sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/sqrt(a + b*x), x)","F",0
709,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{x \sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/(x*sqrt(a + b*x)), x)","F",0
710,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**2/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{x^{2} \sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/(x**2*sqrt(a + b*x)), x)","F",0
711,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**3/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{x^{3} \sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/(x**3*sqrt(a + b*x)), x)","F",0
712,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**4/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
713,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**5/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
714,-1,0,0,0.000000," ","integrate(x**2*(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
715,-1,0,0,0.000000," ","integrate(x*(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
716,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
717,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{5}{2}}}{x \sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(5/2)/(x*sqrt(a + b*x)), x)","F",0
718,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**2/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{5}{2}}}{x^{2} \sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(5/2)/(x**2*sqrt(a + b*x)), x)","F",0
719,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**3/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{5}{2}}}{x^{3} \sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(5/2)/(x**3*sqrt(a + b*x)), x)","F",0
720,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**4/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
721,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**5/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
722,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**6/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
723,-1,0,0,0.000000," ","integrate(x**4*(1+x)**(3/2)/(1-x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
724,-1,0,0,0.000000," ","integrate(x**3*(1+x)**(3/2)/(1-x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
725,1,240,0,136.734420," ","integrate(x**2*(1+x)**(3/2)/(1-x)**(1/2),x)","2 \left(\begin{cases} - \frac{x \sqrt{1 - x} \sqrt{x + 1}}{4} - \sqrt{1 - x} \sqrt{x + 1} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)}}{2} & \text{for}\: x \geq -1 \wedge x < 1 \end{cases}\right) - 4 \left(\begin{cases} - \frac{3 x \sqrt{1 - x} \sqrt{x + 1}}{4} + \frac{\left(1 - x\right)^{\frac{3}{2}} \left(x + 1\right)^{\frac{3}{2}}}{6} - 2 \sqrt{1 - x} \sqrt{x + 1} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)}}{2} & \text{for}\: x \geq -1 \wedge x < 1 \end{cases}\right) + 2 \left(\begin{cases} - \frac{7 x \sqrt{1 - x} \sqrt{x + 1}}{4} + \frac{2 \left(1 - x\right)^{\frac{3}{2}} \left(x + 1\right)^{\frac{3}{2}}}{3} + \frac{\sqrt{1 - x} \sqrt{x + 1} \left(- 5 x - 2 \left(x + 1\right)^{3} + 6 \left(x + 1\right)^{2} - 4\right)}{16} - 4 \sqrt{1 - x} \sqrt{x + 1} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)}}{8} & \text{for}\: x \geq -1 \wedge x < 1 \end{cases}\right)"," ",0,"2*Piecewise((-x*sqrt(1 - x)*sqrt(x + 1)/4 - sqrt(1 - x)*sqrt(x + 1) + 3*asin(sqrt(2)*sqrt(x + 1)/2)/2, (x >= -1) & (x < 1))) - 4*Piecewise((-3*x*sqrt(1 - x)*sqrt(x + 1)/4 + (1 - x)**(3/2)*(x + 1)**(3/2)/6 - 2*sqrt(1 - x)*sqrt(x + 1) + 5*asin(sqrt(2)*sqrt(x + 1)/2)/2, (x >= -1) & (x < 1))) + 2*Piecewise((-7*x*sqrt(1 - x)*sqrt(x + 1)/4 + 2*(1 - x)**(3/2)*(x + 1)**(3/2)/3 + sqrt(1 - x)*sqrt(x + 1)*(-5*x - 2*(x + 1)**3 + 6*(x + 1)**2 - 4)/16 - 4*sqrt(1 - x)*sqrt(x + 1) + 35*asin(sqrt(2)*sqrt(x + 1)/2)/8, (x >= -1) & (x < 1)))","A",0
726,1,129,0,65.977088," ","integrate(x*(1+x)**(3/2)/(1-x)**(1/2),x)","- 2 \left(\begin{cases} - \frac{x \sqrt{1 - x} \sqrt{x + 1}}{4} - \sqrt{1 - x} \sqrt{x + 1} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)}}{2} & \text{for}\: x \geq -1 \wedge x < 1 \end{cases}\right) + 2 \left(\begin{cases} - \frac{3 x \sqrt{1 - x} \sqrt{x + 1}}{4} + \frac{\left(1 - x\right)^{\frac{3}{2}} \left(x + 1\right)^{\frac{3}{2}}}{6} - 2 \sqrt{1 - x} \sqrt{x + 1} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)}}{2} & \text{for}\: x \geq -1 \wedge x < 1 \end{cases}\right)"," ",0,"-2*Piecewise((-x*sqrt(1 - x)*sqrt(x + 1)/4 - sqrt(1 - x)*sqrt(x + 1) + 3*asin(sqrt(2)*sqrt(x + 1)/2)/2, (x >= -1) & (x < 1))) + 2*Piecewise((-3*x*sqrt(1 - x)*sqrt(x + 1)/4 + (1 - x)**(3/2)*(x + 1)**(3/2)/6 - 2*sqrt(1 - x)*sqrt(x + 1) + 5*asin(sqrt(2)*sqrt(x + 1)/2)/2, (x >= -1) & (x < 1)))","A",0
727,1,136,0,3.367335," ","integrate((1+x)**(3/2)/(1-x)**(1/2),x)","\begin{cases} - 3 i \operatorname{acosh}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)} - \frac{i \left(x + 1\right)^{\frac{5}{2}}}{2 \sqrt{x - 1}} - \frac{i \left(x + 1\right)^{\frac{3}{2}}}{2 \sqrt{x - 1}} + \frac{3 i \sqrt{x + 1}}{\sqrt{x - 1}} & \text{for}\: \frac{\left|{x + 1}\right|}{2} > 1 \\3 \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)} + \frac{\left(x + 1\right)^{\frac{5}{2}}}{2 \sqrt{1 - x}} + \frac{\left(x + 1\right)^{\frac{3}{2}}}{2 \sqrt{1 - x}} - \frac{3 \sqrt{x + 1}}{\sqrt{1 - x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*I*acosh(sqrt(2)*sqrt(x + 1)/2) - I*(x + 1)**(5/2)/(2*sqrt(x - 1)) - I*(x + 1)**(3/2)/(2*sqrt(x - 1)) + 3*I*sqrt(x + 1)/sqrt(x - 1), Abs(x + 1)/2 > 1), (3*asin(sqrt(2)*sqrt(x + 1)/2) + (x + 1)**(5/2)/(2*sqrt(1 - x)) + (x + 1)**(3/2)/(2*sqrt(1 - x)) - 3*sqrt(x + 1)/sqrt(1 - x), True))","A",0
728,0,0,0,0.000000," ","integrate((1+x)**(3/2)/x/(1-x)**(1/2),x)","\int \frac{\left(x + 1\right)^{\frac{3}{2}}}{x \sqrt{1 - x}}\, dx"," ",0,"Integral((x + 1)**(3/2)/(x*sqrt(1 - x)), x)","F",0
729,0,0,0,0.000000," ","integrate((1+x)**(3/2)/x**2/(1-x)**(1/2),x)","\int \frac{\left(x + 1\right)^{\frac{3}{2}}}{x^{2} \sqrt{1 - x}}\, dx"," ",0,"Integral((x + 1)**(3/2)/(x**2*sqrt(1 - x)), x)","F",0
730,0,0,0,0.000000," ","integrate((1+x)**(3/2)/x**3/(1-x)**(1/2),x)","\int \frac{\left(x + 1\right)^{\frac{3}{2}}}{x^{3} \sqrt{1 - x}}\, dx"," ",0,"Integral((x + 1)**(3/2)/(x**3*sqrt(1 - x)), x)","F",0
731,0,0,0,0.000000," ","integrate((1+x)**(3/2)/x**4/(1-x)**(1/2),x)","\int \frac{\left(x + 1\right)^{\frac{3}{2}}}{x^{4} \sqrt{1 - x}}\, dx"," ",0,"Integral((x + 1)**(3/2)/(x**4*sqrt(1 - x)), x)","F",0
732,0,0,0,0.000000," ","integrate((1+x)**(3/2)/x**5/(1-x)**(1/2),x)","\int \frac{\left(x + 1\right)^{\frac{3}{2}}}{x^{5} \sqrt{1 - x}}\, dx"," ",0,"Integral((x + 1)**(3/2)/(x**5*sqrt(1 - x)), x)","F",0
733,0,0,0,0.000000," ","integrate(x**3/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{x^{3}}{\sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(x**3/(sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
734,0,0,0,0.000000," ","integrate(x**2/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(x**2/(sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
735,0,0,0,0.000000," ","integrate(x/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{x}{\sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(x/(sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
736,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{1}{\sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
737,0,0,0,0.000000," ","integrate(1/x/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{1}{x \sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
738,0,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
739,0,0,0,0.000000," ","integrate(1/x**3/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(1/(x**3*sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
740,0,0,0,0.000000," ","integrate(1/x**4/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{1}{x^{4} \sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(1/(x**4*sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
741,0,0,0,0.000000," ","integrate(x**3/(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{x^{3}}{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
742,0,0,0,0.000000," ","integrate(x**2/(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
743,0,0,0,0.000000," ","integrate(x/(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{x}{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
744,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/2)/(d*x+c)**(3/2),x)","\int \frac{1}{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
745,0,0,0,0.000000," ","integrate(1/x/(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{1}{x \sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
746,0,0,0,0.000000," ","integrate(1/x**2/(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
747,0,0,0,0.000000," ","integrate(1/x**3/(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
748,0,0,0,0.000000," ","integrate(x**4/(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{x^{4}}{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**4/(sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
749,0,0,0,0.000000," ","integrate(x**3/(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{x^{3}}{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**3/(sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
750,0,0,0,0.000000," ","integrate(x**2/(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2/(sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
751,0,0,0,0.000000," ","integrate(x/(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{x}{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x/(sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
752,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/2)/(d*x+c)**(5/2),x)","\int \frac{1}{\sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
753,0,0,0,0.000000," ","integrate(1/x/(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{1}{x \sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
754,0,0,0,0.000000," ","integrate(1/x**2/(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
755,0,0,0,0.000000," ","integrate(1/x**3/(d*x+c)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a + b x} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**3*sqrt(a + b*x)*(c + d*x)**(5/2)), x)","F",0
756,1,24,0,1.254086," ","integrate(1/x/(c*x)**(1/2)/(b*x+a)**(1/2),x)","- \frac{2 \sqrt{b} \sqrt{\frac{a}{b x} + 1}}{a \sqrt{c}}"," ",0,"-2*sqrt(b)*sqrt(a/(b*x) + 1)/(a*sqrt(c))","A",0
757,1,83,0,5.069916," ","integrate(1/x/(b*x+a)**(1/2)/(-b*c*x+a*c)**(1/2),x)","\frac{i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{a^{2}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} a \sqrt{c}} - \frac{{G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{a^{2} e^{- 2 i \pi}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} a \sqrt{c}}"," ",0,"I*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), a**2/(b**2*x**2))/(4*pi**(3/2)*a*sqrt(c)) - meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), a**2*exp_polar(-2*I*pi)/(b**2*x**2))/(4*pi**(3/2)*a*sqrt(c))","C",0
758,0,0,0,0.000000," ","integrate(1/x/(-b*x-a+1)**(1/2)/(b*x+a+1)**(1/2),x)","\int \frac{1}{x \sqrt{- a - b x + 1} \sqrt{a + b x + 1}}\, dx"," ",0,"Integral(1/(x*sqrt(-a - b*x + 1)*sqrt(a + b*x + 1)), x)","F",0
759,0,0,0,0.000000," ","integrate(x**3*(d*x+c)**(3/2)/(b*x+a)**(3/2),x)","\int \frac{x^{3} \left(c + d x\right)^{\frac{3}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3*(c + d*x)**(3/2)/(a + b*x)**(3/2), x)","F",0
760,0,0,0,0.000000," ","integrate(x**2*(d*x+c)**(3/2)/(b*x+a)**(3/2),x)","\int \frac{x^{2} \left(c + d x\right)^{\frac{3}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(c + d*x)**(3/2)/(a + b*x)**(3/2), x)","F",0
761,0,0,0,0.000000," ","integrate(x*(d*x+c)**(3/2)/(b*x+a)**(3/2),x)","\int \frac{x \left(c + d x\right)^{\frac{3}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(c + d*x)**(3/2)/(a + b*x)**(3/2), x)","F",0
762,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)/(b*x+a)**(3/2),x)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/(a + b*x)**(3/2), x)","F",0
763,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x/(b*x+a)**(3/2),x)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{x \left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/(x*(a + b*x)**(3/2)), x)","F",0
764,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**2/(b*x+a)**(3/2),x)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{x^{2} \left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/(x**2*(a + b*x)**(3/2)), x)","F",0
765,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**3/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
766,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)/x**4/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
767,-1,0,0,0.000000," ","integrate(x**3*(d*x+c)**(5/2)/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
768,0,0,0,0.000000," ","integrate(x**2*(d*x+c)**(5/2)/(b*x+a)**(3/2),x)","\int \frac{x^{2} \left(c + d x\right)^{\frac{5}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(c + d*x)**(5/2)/(a + b*x)**(3/2), x)","F",0
769,0,0,0,0.000000," ","integrate(x*(d*x+c)**(5/2)/(b*x+a)**(3/2),x)","\int \frac{x \left(c + d x\right)^{\frac{5}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(c + d*x)**(5/2)/(a + b*x)**(3/2), x)","F",0
770,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)/(b*x+a)**(3/2),x)","\int \frac{\left(c + d x\right)^{\frac{5}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*x)**(5/2)/(a + b*x)**(3/2), x)","F",0
771,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x/(b*x+a)**(3/2),x)","\int \frac{\left(c + d x\right)^{\frac{5}{2}}}{x \left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c + d*x)**(5/2)/(x*(a + b*x)**(3/2)), x)","F",0
772,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**2/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
773,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**3/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
774,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**4/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
775,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**5/(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
776,0,0,0,0.000000," ","integrate(x**4/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{x^{4}}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/((a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
777,0,0,0,0.000000," ","integrate(x**3/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{x^{3}}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/((a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
778,0,0,0,0.000000," ","integrate(x**2/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{x^{2}}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/((a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
779,0,0,0,0.000000," ","integrate(x/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{x}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/((a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
780,0,0,0,0.000000," ","integrate(1/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{1}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
781,0,0,0,0.000000," ","integrate(1/x/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{1}{x \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
782,0,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{1}{x^{2} \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
783,0,0,0,0.000000," ","integrate(1/x**3/(b*x+a)**(3/2)/(d*x+c)**(3/2),x)","\int \frac{1}{x^{3} \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x)**(3/2)*(c + d*x)**(3/2)), x)","F",0
784,-1,0,0,0.000000," ","integrate(x**5/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
785,0,0,0,0.000000," ","integrate(x**4/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{x^{4}}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**4/((a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
786,0,0,0,0.000000," ","integrate(x**3/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{x^{3}}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**3/((a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
787,0,0,0,0.000000," ","integrate(x**2/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{x^{2}}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2/((a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
788,0,0,0,0.000000," ","integrate(x/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{x}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x/((a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
789,0,0,0,0.000000," ","integrate(1/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{1}{\left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
790,0,0,0,0.000000," ","integrate(1/x/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{1}{x \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x*(a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
791,0,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{1}{x^{2} \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
792,0,0,0,0.000000," ","integrate(1/x**3/(b*x+a)**(3/2)/(d*x+c)**(5/2),x)","\int \frac{1}{x^{3} \left(a + b x\right)^{\frac{3}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x)**(3/2)*(c + d*x)**(5/2)), x)","F",0
793,-1,0,0,0.000000," ","integrate(x**4*(d*x+c)**(5/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
794,-1,0,0,0.000000," ","integrate(x**3*(d*x+c)**(5/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
795,-1,0,0,0.000000," ","integrate(x**2*(d*x+c)**(5/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
796,-1,0,0,0.000000," ","integrate(x*(d*x+c)**(5/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
797,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
798,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
799,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**2/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
800,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**3/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
801,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**4/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
802,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)/x**5/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
803,0,0,0,0.000000," ","integrate(x**2/(b*x+a)**(5/2)/(d*x+c)**(1/2),x)","\int \frac{x^{2}}{\left(a + b x\right)^{\frac{5}{2}} \sqrt{c + d x}}\, dx"," ",0,"Integral(x**2/((a + b*x)**(5/2)*sqrt(c + d*x)), x)","F",0
804,-1,0,0,0.000000," ","integrate(x**6/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
805,-1,0,0,0.000000," ","integrate(x**5/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
806,-1,0,0,0.000000," ","integrate(x**4/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
807,-1,0,0,0.000000," ","integrate(x**3/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
808,0,0,0,0.000000," ","integrate(x**2/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\int \frac{x^{2}}{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2/((a + b*x)**(5/2)*(c + d*x)**(5/2)), x)","F",0
809,0,0,0,0.000000," ","integrate(x/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\int \frac{x}{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x/((a + b*x)**(5/2)*(c + d*x)**(5/2)), x)","F",0
810,0,0,0,0.000000," ","integrate(1/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\int \frac{1}{\left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((a + b*x)**(5/2)*(c + d*x)**(5/2)), x)","F",0
811,0,0,0,0.000000," ","integrate(1/x/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\int \frac{1}{x \left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x*(a + b*x)**(5/2)*(c + d*x)**(5/2)), x)","F",0
812,0,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\int \frac{1}{x^{2} \left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x)**(5/2)*(c + d*x)**(5/2)), x)","F",0
813,0,0,0,0.000000," ","integrate(1/x**3/(b*x+a)**(5/2)/(d*x+c)**(5/2),x)","\int \frac{1}{x^{3} \left(a + b x\right)^{\frac{5}{2}} \left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x)**(5/2)*(c + d*x)**(5/2)), x)","F",0
814,1,44,0,3.676418," ","integrate(x**2*(b*x+a)**(1/2)/(-b*x-a)**(1/2),x)","- \frac{i a^{3}}{b^{3}} - \frac{i a^{2} x}{b^{2}} + \frac{i a \left(a + b x\right)^{2}}{b^{3}} - \frac{i \left(a + b x\right)^{3}}{3 b^{3}}"," ",0,"-I*a**3/b**3 - I*a**2*x/b**2 + I*a*(a + b*x)**2/b**3 - I*(a + b*x)**3/(3*b**3)","C",0
815,1,27,0,2.790083," ","integrate(x*(b*x+a)**(1/2)/(-b*x-a)**(1/2),x)","\frac{i a^{2}}{b^{2}} + \frac{i a x}{b} - \frac{i \left(a + b x\right)^{2}}{2 b^{2}}"," ",0,"I*a**2/b**2 + I*a*x/b - I*(a + b*x)**2/(2*b**2)","C",0
816,1,37,0,1.908055," ","integrate((b*x+a)**(1/2)/(-b*x-a)**(1/2),x)","\begin{cases} - i \left(\frac{a}{b} + x\right) & \text{for}\: \left|{\frac{a}{b} + x}\right| > 1 \vee \left|{\frac{a}{b} + x}\right| < 1 \\- i {G_{2, 2}^{1, 1}\left(\begin{matrix} 1 & 2 \\1 & 0 \end{matrix} \middle| {\frac{a}{b} + x} \right)} - i {G_{2, 2}^{0, 2}\left(\begin{matrix} 2, 1 &  \\ & 1, 0 \end{matrix} \middle| {\frac{a}{b} + x} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*(a/b + x), (Abs(a/b + x) > 1) | (Abs(a/b + x) < 1)), (-I*meijerg(((1,), (2,)), ((1,), (0,)), a/b + x) - I*meijerg(((2, 1), ()), ((), (1, 0)), a/b + x), True))","C",0
817,1,37,0,1.598371," ","integrate((b*x+a)**(1/2)/x/(-b*x-a)**(1/2),x)","\begin{cases} - i \log{\left(-1 + \frac{b \left(\frac{a}{b} + x\right)}{a} \right)} & \text{for}\: \left|{\frac{b \left(\frac{a}{b} + x\right)}{a}}\right| > 1 \\- i \log{\left(1 - \frac{b \left(\frac{a}{b} + x\right)}{a} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*log(-1 + b*(a/b + x)/a), Abs(b*(a/b + x)/a) > 1), (-I*log(1 - b*(a/b + x)/a), True))","C",0
818,1,20,0,1.507754," ","integrate((b*x+a)**(1/2)/x**2/(-b*x-a)**(1/2),x)","\frac{i b^{2} \left(\frac{a}{b} + x\right)}{- a^{2} + a b \left(\frac{a}{b} + x\right)}"," ",0,"I*b**2*(a/b + x)/(-a**2 + a*b*(a/b + x))","C",0
819,1,88,0,1.796532," ","integrate((b*x+a)**(1/2)/x**3/(-b*x-a)**(1/2),x)","- \frac{2 i a b^{3} \left(\frac{a}{b} + x\right)}{- 2 a^{4} + 4 a^{3} b \left(\frac{a}{b} + x\right) - 2 a^{2} b^{2} \left(\frac{a}{b} + x\right)^{2}} + \frac{i b^{4} \left(\frac{a}{b} + x\right)^{2}}{- 2 a^{4} + 4 a^{3} b \left(\frac{a}{b} + x\right) - 2 a^{2} b^{2} \left(\frac{a}{b} + x\right)^{2}}"," ",0,"-2*I*a*b**3*(a/b + x)/(-2*a**4 + 4*a**3*b*(a/b + x) - 2*a**2*b**2*(a/b + x)**2) + I*b**4*(a/b + x)**2/(-2*a**4 + 4*a**3*b*(a/b + x) - 2*a**2*b**2*(a/b + x)**2)","C",0
820,1,146,0,2.833294," ","integrate((b*x+a)**(1/2)/(x**m)/(-b*x-a)**(1/2),x)","\begin{cases} \frac{i a a^{- m} b^{m} \left(-1 + \frac{b \left(\frac{a}{b} + x\right)}{a}\right)^{- m}}{b \left(1 - m\right)} - \frac{i a^{- m} b^{m} \left(-1 + \frac{b \left(\frac{a}{b} + x\right)}{a}\right)^{- m} \left(\frac{a}{b} + x\right)}{1 - m} & \text{for}\: \left|{\frac{b \left(\frac{a}{b} + x\right)}{a}}\right| > 1 \\- \frac{a a^{- m} b^{m} \left(1 - \frac{b \left(\frac{a}{b} + x\right)}{a}\right)^{- m}}{b \left(- i m e^{i \pi m} + i e^{i \pi m}\right)} + \frac{a^{- m} b^{m} \left(1 - \frac{b \left(\frac{a}{b} + x\right)}{a}\right)^{- m} \left(\frac{a}{b} + x\right)}{- i m e^{i \pi m} + i e^{i \pi m}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*a*a**(-m)*b**m*(-1 + b*(a/b + x)/a)**(-m)/(b*(1 - m)) - I*a**(-m)*b**m*(-1 + b*(a/b + x)/a)**(-m)*(a/b + x)/(1 - m), Abs(b*(a/b + x)/a) > 1), (-a*a**(-m)*b**m*(1 - b*(a/b + x)/a)**(-m)/(b*(-I*m*exp(I*pi*m) + I*exp(I*pi*m))) + a**(-m)*b**m*(1 - b*(a/b + x)/a)**(-m)*(a/b + x)/(-I*m*exp(I*pi*m) + I*exp(I*pi*m)), True))","C",0
821,1,19,0,17.398417," ","integrate(x**2*(b*x+a)**n/((-b*x-a)**n),x)","\frac{x^{3} \left(- a - b x\right)^{- n} \left(a + b x\right)^{n}}{3}"," ",0,"x**3*(-a - b*x)**(-n)*(a + b*x)**n/3","A",0
822,1,19,0,8.355575," ","integrate(x*(b*x+a)**n/((-b*x-a)**n),x)","\frac{x^{2} \left(- a - b x\right)^{- n} \left(a + b x\right)^{n}}{2}"," ",0,"x**2*(-a - b*x)**(-n)*(a + b*x)**n/2","A",0
823,1,44,0,7.052119," ","integrate((b*x+a)**n/((-b*x-a)**n),x)","\begin{cases} - \frac{a \left(- a - b x\right)^{- n} \left(a + b x\right)^{n}}{b} + x \left(- a - b x\right)^{- n} \left(a + b x\right)^{n} & \text{for}\: b \neq 0 \\a^{n} x \left(- a\right)^{- n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*(-a - b*x)**(-n)*(a + b*x)**n/b + x*(-a - b*x)**(-n)*(a + b*x)**n, Ne(b, 0)), (a**n*x*(-a)**(-n), True))","A",0
824,1,44,0,6.677923," ","integrate((b*x+a)**n/x/((-b*x-a)**n),x)","\begin{cases} e^{- i \pi n} \log{\left(-1 + \frac{b \left(\frac{a}{b} + x\right)}{a} \right)} & \text{for}\: \left|{\frac{b \left(\frac{a}{b} + x\right)}{a}}\right| > 1 \\e^{- i \pi n} \log{\left(1 - \frac{b \left(\frac{a}{b} + x\right)}{a} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((exp(-I*pi*n)*log(-1 + b*(a/b + x)/a), Abs(b*(a/b + x)/a) > 1), (exp(-I*pi*n)*log(1 - b*(a/b + x)/a), True))","C",0
825,1,17,0,4.695461," ","integrate((b*x+a)**n/x**2/((-b*x-a)**n),x)","- \frac{\left(- a - b x\right)^{- n} \left(a + b x\right)^{n}}{x}"," ",0,"-(-a - b*x)**(-n)*(a + b*x)**n/x","A",0
826,1,20,0,10.032927," ","integrate((b*x+a)**n/x**3/((-b*x-a)**n),x)","- \frac{\left(- a - b x\right)^{- n} \left(a + b x\right)^{n}}{2 x^{2}}"," ",0,"-(-a - b*x)**(-n)*(a + b*x)**n/(2*x**2)","A",0
827,-1,0,0,0.000000," ","integrate((b*x+a)**n/(x**m)/((-b*x-a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
828,0,0,0,0.000000," ","integrate(x**3*(1+x)**(1/2)/(1-x)**(5/2),x)","\int \frac{x^{3} \sqrt{x + 1}}{\left(1 - x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**3*sqrt(x + 1)/(1 - x)**(5/2), x)","F",0
829,0,0,0,0.000000," ","integrate(x**2*(1+x)**(1/2)/(1-x)**(5/2),x)","\int \frac{x^{2} \sqrt{x + 1}}{\left(1 - x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2*sqrt(x + 1)/(1 - x)**(5/2), x)","F",0
830,0,0,0,0.000000," ","integrate(x*(1+x)**(1/2)/(1-x)**(5/2),x)","\int \frac{x \sqrt{x + 1}}{\left(1 - x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x*sqrt(x + 1)/(1 - x)**(5/2), x)","F",0
831,1,61,0,1.526179," ","integrate((1+x)**(1/2)/(1-x)**(5/2),x)","\begin{cases} \frac{i \left(x + 1\right)^{\frac{3}{2}}}{3 \sqrt{x - 1} \left(x + 1\right) - 6 \sqrt{x - 1}} & \text{for}\: \frac{\left|{x + 1}\right|}{2} > 1 \\- \frac{\left(x + 1\right)^{\frac{3}{2}}}{3 \sqrt{1 - x} \left(x + 1\right) - 6 \sqrt{1 - x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*(x + 1)**(3/2)/(3*sqrt(x - 1)*(x + 1) - 6*sqrt(x - 1)), Abs(x + 1)/2 > 1), (-(x + 1)**(3/2)/(3*sqrt(1 - x)*(x + 1) - 6*sqrt(1 - x)), True))","A",0
832,1,63,0,1.579730," ","integrate((1+x)**(1/2)/(-1+x)**(5/2),x)","\begin{cases} - \frac{\left(x + 1\right)^{\frac{3}{2}}}{3 \sqrt{x - 1} \left(x + 1\right) - 6 \sqrt{x - 1}} & \text{for}\: \frac{\left|{x + 1}\right|}{2} > 1 \\- \frac{i \left(x + 1\right)^{\frac{3}{2}}}{- 3 \sqrt{1 - x} \left(x + 1\right) + 6 \sqrt{1 - x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(x + 1)**(3/2)/(3*sqrt(x - 1)*(x + 1) - 6*sqrt(x - 1)), Abs(x + 1)/2 > 1), (-I*(x + 1)**(3/2)/(-3*sqrt(1 - x)*(x + 1) + 6*sqrt(1 - x)), True))","A",0
833,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(1-x)**(5/2)/x,x)","\int \frac{\sqrt{x + 1}}{x \left(1 - x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(x + 1)/(x*(1 - x)**(5/2)), x)","F",0
834,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(1-x)**(5/2)/x**2,x)","\int \frac{\sqrt{x + 1}}{x^{2} \left(1 - x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(x + 1)/(x**2*(1 - x)**(5/2)), x)","F",0
835,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(1-x)**(5/2)/x**3,x)","\int \frac{\sqrt{x + 1}}{x^{3} \left(1 - x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(x + 1)/(x**3*(1 - x)**(5/2)), x)","F",0
836,1,87,0,24.119340," ","integrate(x**2/(-1+x)**(1/2)/(1+x)**(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^{2}}} \right)}}{4 \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^{2}}} \right)}}{4 \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), ()), x**(-2))/(4*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)/(4*pi**(3/2))","C",0
837,1,76,0,2.765820," ","integrate(x/(-1+x)**(1/2)/(1+x)**(1/2),x)","\frac{{G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), x**(-2))/(4*pi**(3/2)) + I*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), exp_polar(2*I*pi)/x**2)/(4*pi**(3/2))","C",0
838,1,41,0,1.050251," ","integrate(1/(-1+x)**(1/2)/(1+x)**(1/2),x)","\begin{cases} 2 \operatorname{acosh}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)} & \text{for}\: \frac{\left|{x + 1}\right|}{2} > 1 \\- 2 i \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*acosh(sqrt(2)*sqrt(x + 1)/2), Abs(x + 1)/2 > 1), (-2*I*asin(sqrt(2)*sqrt(x + 1)/2), True))","B",0
839,1,56,0,4.320470," ","integrate(1/x/(-1+x)**(1/2)/(1+x)**(1/2),x)","- \frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), x**(-2))/(4*pi**(3/2)) + I*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(2*I*pi)/x**2)/(4*pi**(3/2))","C",0
840,1,58,0,8.231239," ","integrate(1/x**2/(-1+x)**(1/2)/(1+x)**(1/2),x)","- \frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), x**(-2))/(4*pi**(3/2)) - I*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(2*I*pi)/x**2)/(4*pi**(3/2))","C",0
841,0,0,0,0.000000," ","integrate(x**2*(-1+x)**(1/2)*(1+x)**(1/2),x)","\int x^{2} \sqrt{x - 1} \sqrt{x + 1}\, dx"," ",0,"Integral(x**2*sqrt(x - 1)*sqrt(x + 1), x)","F",0
842,0,0,0,0.000000," ","integrate(x*(-1+x)**(1/2)*(1+x)**(1/2),x)","\int x \sqrt{x - 1} \sqrt{x + 1}\, dx"," ",0,"Integral(x*sqrt(x - 1)*sqrt(x + 1), x)","F",0
843,1,133,0,2.590040," ","integrate((-1+x)**(1/2)*(1+x)**(1/2),x)","\begin{cases} - \operatorname{acosh}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)} + \frac{\left(x + 1\right)^{\frac{5}{2}}}{2 \sqrt{x - 1}} - \frac{3 \left(x + 1\right)^{\frac{3}{2}}}{2 \sqrt{x - 1}} + \frac{\sqrt{x + 1}}{\sqrt{x - 1}} & \text{for}\: \frac{\left|{x + 1}\right|}{2} > 1 \\i \operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)} - \frac{i \left(x + 1\right)^{\frac{5}{2}}}{2 \sqrt{1 - x}} + \frac{3 i \left(x + 1\right)^{\frac{3}{2}}}{2 \sqrt{1 - x}} - \frac{i \sqrt{x + 1}}{\sqrt{1 - x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-acosh(sqrt(2)*sqrt(x + 1)/2) + (x + 1)**(5/2)/(2*sqrt(x - 1)) - 3*(x + 1)**(3/2)/(2*sqrt(x - 1)) + sqrt(x + 1)/sqrt(x - 1), Abs(x + 1)/2 > 1), (I*asin(sqrt(2)*sqrt(x + 1)/2) - I*(x + 1)**(5/2)/(2*sqrt(1 - x)) + 3*I*(x + 1)**(3/2)/(2*sqrt(1 - x)) - I*sqrt(x + 1)/sqrt(1 - x), True))","B",0
844,0,0,0,0.000000," ","integrate((-1+x)**(1/2)*(1+x)**(1/2)/x,x)","\int \frac{\sqrt{x - 1} \sqrt{x + 1}}{x}\, dx"," ",0,"Integral(sqrt(x - 1)*sqrt(x + 1)/x, x)","F",0
845,0,0,0,0.000000," ","integrate((-1+x)**(1/2)*(1+x)**(1/2)/x**2,x)","\int \frac{\sqrt{x - 1} \sqrt{x + 1}}{x^{2}}\, dx"," ",0,"Integral(sqrt(x - 1)*sqrt(x + 1)/x**2, x)","F",0
846,1,27,0,1.016925," ","integrate(1/(1+2*x)**(1/2)/(3+2*x)**(1/2),x)","\begin{cases} \operatorname{acosh}{\left(\sqrt{x + \frac{3}{2}} \right)} & \text{for}\: \left|{x + \frac{3}{2}}\right| > 1 \\- i \operatorname{asin}{\left(\sqrt{x + \frac{3}{2}} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acosh(sqrt(x + 3/2)), Abs(x + 3/2) > 1), (-I*asin(sqrt(x + 3/2)), True))","A",0
847,0,0,0,0.000000," ","integrate(1/x/(-2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{x \sqrt{3 x - 2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(x*sqrt(3*x - 2)*sqrt(5*x + 3)), x)","F",0
848,1,58,0,7.079422," ","integrate(1/(-1+x)**(3/2)/x/(1+x)**(3/2),x)","- \frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & 1, 2, \frac{5}{2} \\\frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2, \frac{5}{2} & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{2 \pi^{\frac{3}{2}}} - \frac{i {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, 1 &  \\\frac{3}{4}, \frac{5}{4} & 0, \frac{1}{2}, \frac{3}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{2 \pi^{\frac{3}{2}}}"," ",0,"-meijerg(((5/4, 7/4, 1), (1, 2, 5/2)), ((5/4, 3/2, 7/4, 2, 5/2), (0,)), x**(-2))/(2*pi**(3/2)) - I*meijerg(((0, 1/2, 3/4, 1, 5/4, 1), ()), ((3/4, 5/4), (0, 1/2, 3/2, 0)), exp_polar(2*I*pi)/x**2)/(2*pi**(3/2))","C",0
849,1,95,0,35.694898," ","integrate(x*(1-x)**(1/2)*(1+x)**(1/2),x)","- 2 \left(\begin{cases} \frac{x \sqrt{1 - x} \sqrt{x + 1}}{4} + \frac{\operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)}}{2} & \text{for}\: x \geq -1 \wedge x < 1 \end{cases}\right) + 2 \left(\begin{cases} \frac{x \sqrt{1 - x} \sqrt{x + 1}}{4} - \frac{\left(1 - x\right)^{\frac{3}{2}} \left(x + 1\right)^{\frac{3}{2}}}{6} + \frac{\operatorname{asin}{\left(\frac{\sqrt{2} \sqrt{x + 1}}{2} \right)}}{2} & \text{for}\: x \geq -1 \wedge x < 1 \end{cases}\right)"," ",0,"-2*Piecewise((x*sqrt(1 - x)*sqrt(x + 1)/4 + asin(sqrt(2)*sqrt(x + 1)/2)/2, (x >= -1) & (x < 1))) + 2*Piecewise((x*sqrt(1 - x)*sqrt(x + 1)/4 - (1 - x)**(3/2)*(x + 1)**(3/2)/6 + asin(sqrt(2)*sqrt(x + 1)/2)/2, (x >= -1) & (x < 1)))","B",0
850,1,167,0,120.390625," ","integrate(x**3*(2+3*x)**(3/2)*(1+4*x)**(1/2),x)","\frac{3 \left(4 x + 1\right)^{\frac{13}{2}}}{4096 \sqrt{12 x + 8}} + \frac{7 \left(4 x + 1\right)^{\frac{11}{2}}}{40960 \sqrt{12 x + 8}} - \frac{869 \left(4 x + 1\right)^{\frac{9}{2}}}{196608 \sqrt{12 x + 8}} + \frac{2027 \left(4 x + 1\right)^{\frac{7}{2}}}{1179648 \sqrt{12 x + 8}} + \frac{119135 \left(4 x + 1\right)^{\frac{5}{2}}}{14155776 \sqrt{12 x + 8}} - \frac{904775 \left(4 x + 1\right)^{\frac{3}{2}}}{84934656 \sqrt{12 x + 8}} - \frac{1067875 \sqrt{4 x + 1}}{84934656 \sqrt{12 x + 8}} + \frac{1067875 \sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{15} \sqrt{4 x + 1}}{5} \right)}}{254803968}"," ",0,"3*(4*x + 1)**(13/2)/(4096*sqrt(12*x + 8)) + 7*(4*x + 1)**(11/2)/(40960*sqrt(12*x + 8)) - 869*(4*x + 1)**(9/2)/(196608*sqrt(12*x + 8)) + 2027*(4*x + 1)**(7/2)/(1179648*sqrt(12*x + 8)) + 119135*(4*x + 1)**(5/2)/(14155776*sqrt(12*x + 8)) - 904775*(4*x + 1)**(3/2)/(84934656*sqrt(12*x + 8)) - 1067875*sqrt(4*x + 1)/(84934656*sqrt(12*x + 8)) + 1067875*sqrt(3)*asinh(sqrt(15)*sqrt(4*x + 1)/5)/254803968","A",0
851,0,0,0,0.000000," ","integrate(1/(b*x+a-1)**(1/2)/(b*x+a+1)**(1/2),x)","\int \frac{1}{\sqrt{a + b x - 1} \sqrt{a + b x + 1}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x - 1)*sqrt(a + b*x + 1)), x)","F",0
852,1,99,0,4.672689," ","integrate(1/x**(1/2)/(-b*x+a)**(1/2)/(b*x+a)**(1/2),x)","\frac{i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{a^{2}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{a} \sqrt{b}} - \frac{i {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{a^{2} e^{- 2 i \pi}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{a} \sqrt{b}}"," ",0,"I*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), a**2/(b**2*x**2))/(4*pi**(3/2)*sqrt(a)*sqrt(b)) - I*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), a**2*exp_polar(-2*I*pi)/(b**2*x**2))/(4*pi**(3/2)*sqrt(a)*sqrt(b))","A",0
853,1,95,0,6.748920," ","integrate(1/(-x)**(1/2)/(-b*x+a)**(1/2)/(b*x+a)**(1/2),x)","\frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{a^{2}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{a} \sqrt{b}} - \frac{{G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{a^{2} e^{- 2 i \pi}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{a} \sqrt{b}}"," ",0,"meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), a**2/(b**2*x**2))/(4*pi**(3/2)*sqrt(a)*sqrt(b)) - meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), a**2*exp_polar(-2*I*pi)/(b**2*x**2))/(4*pi**(3/2)*sqrt(a)*sqrt(b))","A",0
854,1,109,0,6.637395," ","integrate(1/(e*x)**(1/2)/(-b*x+a)**(1/2)/(b*x+a)**(1/2),x)","\frac{i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{a^{2}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{a} \sqrt{b} \sqrt{e}} - \frac{i {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{a^{2} e^{- 2 i \pi}}{b^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{a} \sqrt{b} \sqrt{e}}"," ",0,"I*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), a**2/(b**2*x**2))/(4*pi**(3/2)*sqrt(a)*sqrt(b)*sqrt(e)) - I*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), a**2*exp_polar(-2*I*pi)/(b**2*x**2))/(4*pi**(3/2)*sqrt(a)*sqrt(b)*sqrt(e))","A",0
855,1,95,0,4.649730," ","integrate(1/x**(1/2)/(-b*x+2)**(1/2)/(b*x+2)**(1/2),x)","\frac{\sqrt{2} i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{4}{b^{2} x^{2}}} \right)}}{8 \pi^{\frac{3}{2}} \sqrt{b}} - \frac{\sqrt{2} i {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{4 e^{- 2 i \pi}}{b^{2} x^{2}}} \right)}}{8 \pi^{\frac{3}{2}} \sqrt{b}}"," ",0,"sqrt(2)*I*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), 4/(b**2*x**2))/(8*pi**(3/2)*sqrt(b)) - sqrt(2)*I*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), 4*exp_polar(-2*I*pi)/(b**2*x**2))/(8*pi**(3/2)*sqrt(b))","B",0
856,1,92,0,6.874576," ","integrate(1/(-x)**(1/2)/(-b*x+2)**(1/2)/(b*x+2)**(1/2),x)","\frac{\sqrt{2} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{4}{b^{2} x^{2}}} \right)}}{8 \pi^{\frac{3}{2}} \sqrt{b}} - \frac{\sqrt{2} {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{4 e^{- 2 i \pi}}{b^{2} x^{2}}} \right)}}{8 \pi^{\frac{3}{2}} \sqrt{b}}"," ",0,"sqrt(2)*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), 4/(b**2*x**2))/(8*pi**(3/2)*sqrt(b)) - sqrt(2)*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), 4*exp_polar(-2*I*pi)/(b**2*x**2))/(8*pi**(3/2)*sqrt(b))","B",0
857,1,105,0,6.518552," ","integrate(1/(e*x)**(1/2)/(-b*x+2)**(1/2)/(b*x+2)**(1/2),x)","\frac{\sqrt{2} i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{4}{b^{2} x^{2}}} \right)}}{8 \pi^{\frac{3}{2}} \sqrt{b} \sqrt{e}} - \frac{\sqrt{2} i {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{4 e^{- 2 i \pi}}{b^{2} x^{2}}} \right)}}{8 \pi^{\frac{3}{2}} \sqrt{b} \sqrt{e}}"," ",0,"sqrt(2)*I*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), 4/(b**2*x**2))/(8*pi**(3/2)*sqrt(b)*sqrt(e)) - sqrt(2)*I*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), 4*exp_polar(-2*I*pi)/(b**2*x**2))/(8*pi**(3/2)*sqrt(b)*sqrt(e))","B",0
858,1,78,0,4.792251," ","integrate(1/(2-3*x)**(1/2)/x**(1/2)/(2+3*x)**(1/2),x)","- \frac{\sqrt{6} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{4 e^{- 2 i \pi}}{9 x^{2}}} \right)}}{24 \pi^{\frac{3}{2}}} + \frac{\sqrt{6} {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{4}{9 x^{2}}} \right)}}{24 \pi^{\frac{3}{2}}}"," ",0,"-sqrt(6)*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), 4*exp_polar(-2*I*pi)/(9*x**2))/(24*pi**(3/2)) + sqrt(6)*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), 4/(9*x**2))/(24*pi**(3/2))","B",0
859,1,82,0,6.309507," ","integrate(1/(2-3*x)**(1/2)/(-x)**(1/2)/(2+3*x)**(1/2),x)","\frac{\sqrt{6} i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{4 e^{- 2 i \pi}}{9 x^{2}}} \right)}}{24 \pi^{\frac{3}{2}}} - \frac{\sqrt{6} i {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{4}{9 x^{2}}} \right)}}{24 \pi^{\frac{3}{2}}}"," ",0,"sqrt(6)*I*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), 4*exp_polar(-2*I*pi)/(9*x**2))/(24*pi**(3/2)) - sqrt(6)*I*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), 4/(9*x**2))/(24*pi**(3/2))","B",0
860,1,88,0,5.604532," ","integrate(1/(2-3*x)**(1/2)/(e*x)**(1/2)/(2+3*x)**(1/2),x)","- \frac{\sqrt{6} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{4 e^{- 2 i \pi}}{9 x^{2}}} \right)}}{24 \pi^{\frac{3}{2}} \sqrt{e}} + \frac{\sqrt{6} {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{4}{9 x^{2}}} \right)}}{24 \pi^{\frac{3}{2}} \sqrt{e}}"," ",0,"-sqrt(6)*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), 4*exp_polar(-2*I*pi)/(9*x**2))/(24*pi**(3/2)*sqrt(e)) + sqrt(6)*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), 4/(9*x**2))/(24*pi**(3/2)*sqrt(e))","B",0
861,1,66,0,4.501676," ","integrate(1/(1-x)**(1/2)/x**(1/2)/(1+x)**(1/2),x)","\frac{i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"I*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), x**(-2))/(4*pi**(3/2)) - I*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), exp_polar(-2*I*pi)/x**2)/(4*pi**(3/2))","B",0
862,0,0,0,0.000000," ","integrate(1/(1+x)**(1/2)/(-x**2+x)**(1/2),x)","\int \frac{1}{\sqrt{- x \left(x - 1\right)} \sqrt{x + 1}}\, dx"," ",0,"Integral(1/(sqrt(-x*(x - 1))*sqrt(x + 1)), x)","F",0
863,1,94,0,6.458451," ","integrate(1/(b*x)**(1/2)/(-c*x+1)**(1/2)/(c*x+1)**(1/2),x)","\frac{i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{1}{c^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{b} \sqrt{c}} - \frac{i {G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{c^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} \sqrt{b} \sqrt{c}}"," ",0,"I*meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), 1/(c**2*x**2))/(4*pi**(3/2)*sqrt(b)*sqrt(c)) - I*meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), exp_polar(-2*I*pi)/(c**2*x**2))/(4*pi**(3/2)*sqrt(b)*sqrt(c))","B",0
864,0,0,0,0.000000," ","integrate(1/(b*x)**(1/2)/(-c*x+1)**(1/2)/(d*x+1)**(1/2),x)","\int \frac{1}{\sqrt{b x} \sqrt{- c x + 1} \sqrt{d x + 1}}\, dx"," ",0,"Integral(1/(sqrt(b*x)*sqrt(-c*x + 1)*sqrt(d*x + 1)), x)","F",0
865,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(1-x)**(1/2)/x**(1/2),x)","\int \frac{\sqrt{x + 1}}{\sqrt{x} \sqrt{1 - x}}\, dx"," ",0,"Integral(sqrt(x + 1)/(sqrt(x)*sqrt(1 - x)), x)","F",0
866,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(-x**2+x)**(1/2),x)","\int \frac{\sqrt{x + 1}}{\sqrt{- x \left(x - 1\right)}}\, dx"," ",0,"Integral(sqrt(x + 1)/sqrt(-x*(x - 1)), x)","F",0
867,0,0,0,0.000000," ","integrate((c*x+1)**(1/2)/(b*x)**(1/2)/(-c*x+1)**(1/2),x)","\int \frac{\sqrt{c x + 1}}{\sqrt{b x} \sqrt{- c x + 1}}\, dx"," ",0,"Integral(sqrt(c*x + 1)/(sqrt(b*x)*sqrt(-c*x + 1)), x)","F",0
868,0,0,0,0.000000," ","integrate((c*x+1)**(1/2)/(b*x)**(1/2)/(-d*x+1)**(1/2),x)","\int \frac{\sqrt{c x + 1}}{\sqrt{b x} \sqrt{- d x + 1}}\, dx"," ",0,"Integral(sqrt(c*x + 1)/(sqrt(b*x)*sqrt(-d*x + 1)), x)","F",0
869,0,0,0,0.000000," ","integrate((1-x)**(1/2)/x**(1/2)/(1+x)**(1/2),x)","\int \frac{\sqrt{1 - x}}{\sqrt{x} \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(1 - x)/(sqrt(x)*sqrt(x + 1)), x)","F",0
870,0,0,0,0.000000," ","integrate((-1+1/x)**(1/2)*(1/x)**(1/2)*x**(1/2)/(1+x)**(1/2),x)","\int \frac{\sqrt{x} \sqrt{-1 + \frac{1}{x}} \sqrt{\frac{1}{x}}}{\sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x)*sqrt(-1 + 1/x)*sqrt(1/x)/sqrt(x + 1), x)","F",0
871,0,0,0,0.000000," ","integrate((-c*x+1)**(1/2)/(b*x)**(1/2)/(c*x+1)**(1/2),x)","\int \frac{\sqrt{- c x + 1}}{\sqrt{b x} \sqrt{c x + 1}}\, dx"," ",0,"Integral(sqrt(-c*x + 1)/(sqrt(b*x)*sqrt(c*x + 1)), x)","F",0
872,0,0,0,0.000000," ","integrate((-c*x+1)**(1/2)/(b*x)**(1/2)/(d*x+1)**(1/2),x)","\int \frac{\sqrt{- c x + 1}}{\sqrt{b x} \sqrt{d x + 1}}\, dx"," ",0,"Integral(sqrt(-c*x + 1)/(sqrt(b*x)*sqrt(d*x + 1)), x)","F",0
873,0,0,0,0.000000," ","integrate(1/(2-3*x)**(1/2)/x**(1/2)/(e*x+d)**(1/2),x)","\int \frac{1}{\sqrt{x} \sqrt{2 - 3 x} \sqrt{d + e x}}\, dx"," ",0,"Integral(1/(sqrt(x)*sqrt(2 - 3*x)*sqrt(d + e*x)), x)","F",0
874,0,0,0,0.000000," ","integrate((e*x+d)**(1/2)/(2-3*x)**(1/2)/x**(1/2),x)","\int \frac{\sqrt{d + e x}}{\sqrt{x} \sqrt{2 - 3 x}}\, dx"," ",0,"Integral(sqrt(d + e*x)/(sqrt(x)*sqrt(2 - 3*x)), x)","F",0
875,0,0,0,0.000000," ","integrate(x**4/(1-x)**(1/3)/(2-x)**(1/3),x)","\int \frac{x^{4}}{\sqrt[3]{1 - x} \sqrt[3]{2 - x}}\, dx"," ",0,"Integral(x**4/((1 - x)**(1/3)*(2 - x)**(1/3)), x)","F",0
876,0,0,0,0.000000," ","integrate(x**3/(1-x)**(1/3)/(2-x)**(1/3),x)","\int \frac{x^{3}}{\sqrt[3]{1 - x} \sqrt[3]{2 - x}}\, dx"," ",0,"Integral(x**3/((1 - x)**(1/3)*(2 - x)**(1/3)), x)","F",0
877,0,0,0,0.000000," ","integrate(x**2/(1-x)**(1/3)/(2-x)**(1/3),x)","\int \frac{x^{2}}{\sqrt[3]{1 - x} \sqrt[3]{2 - x}}\, dx"," ",0,"Integral(x**2/((1 - x)**(1/3)*(2 - x)**(1/3)), x)","F",0
878,0,0,0,0.000000," ","integrate(x/(1-x)**(1/3)/(2-x)**(1/3),x)","\int \frac{x}{\sqrt[3]{1 - x} \sqrt[3]{2 - x}}\, dx"," ",0,"Integral(x/((1 - x)**(1/3)*(2 - x)**(1/3)), x)","F",0
879,1,41,0,1.328197," ","integrate(1/(1-x)**(1/3)/(2-x)**(1/3),x)","- \frac{\left(-1\right)^{\frac{2}{3}} \left(x - 1\right)^{\frac{2}{3}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\left(x - 1\right) e^{2 i \pi}} \right)}}{\Gamma\left(\frac{5}{3}\right)}"," ",0,"-(-1)**(2/3)*(x - 1)**(2/3)*gamma(2/3)*hyper((1/3, 2/3), (5/3,), (x - 1)*exp_polar(2*I*pi))/gamma(5/3)","A",0
880,0,0,0,0.000000," ","integrate(1/(1-x)**(1/3)/(2-x)**(1/3)/x,x)","\int \frac{1}{x \sqrt[3]{1 - x} \sqrt[3]{2 - x}}\, dx"," ",0,"Integral(1/(x*(1 - x)**(1/3)*(2 - x)**(1/3)), x)","F",0
881,0,0,0,0.000000," ","integrate(1/(1-x)**(1/3)/(2-x)**(1/3)/x**2,x)","\int \frac{1}{x^{2} \sqrt[3]{1 - x} \sqrt[3]{2 - x}}\, dx"," ",0,"Integral(1/(x**2*(1 - x)**(1/3)*(2 - x)**(1/3)), x)","F",0
882,0,0,0,0.000000," ","integrate(1/(1-x)**(1/3)/(2-x)**(1/3)/x**3,x)","\int \frac{1}{x^{3} \sqrt[3]{1 - x} \sqrt[3]{2 - x}}\, dx"," ",0,"Integral(1/(x**3*(1 - x)**(1/3)*(2 - x)**(1/3)), x)","F",0
883,0,0,0,0.000000," ","integrate(x**3*(b*x+a)**(1/4)/(d*x+c)**(1/4),x)","\int \frac{x^{3} \sqrt[4]{a + b x}}{\sqrt[4]{c + d x}}\, dx"," ",0,"Integral(x**3*(a + b*x)**(1/4)/(c + d*x)**(1/4), x)","F",0
884,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**(1/4)/(d*x+c)**(1/4),x)","\int \frac{x^{2} \sqrt[4]{a + b x}}{\sqrt[4]{c + d x}}\, dx"," ",0,"Integral(x**2*(a + b*x)**(1/4)/(c + d*x)**(1/4), x)","F",0
885,0,0,0,0.000000," ","integrate(x*(b*x+a)**(1/4)/(d*x+c)**(1/4),x)","\int \frac{x \sqrt[4]{a + b x}}{\sqrt[4]{c + d x}}\, dx"," ",0,"Integral(x*(a + b*x)**(1/4)/(c + d*x)**(1/4), x)","F",0
886,0,0,0,0.000000," ","integrate((b*x+a)**(1/4)/(d*x+c)**(1/4),x)","\int \frac{\sqrt[4]{a + b x}}{\sqrt[4]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/4)/(c + d*x)**(1/4), x)","F",0
887,0,0,0,0.000000," ","integrate((b*x+a)**(1/4)/x/(d*x+c)**(1/4),x)","\int \frac{\sqrt[4]{a + b x}}{x \sqrt[4]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/4)/(x*(c + d*x)**(1/4)), x)","F",0
888,0,0,0,0.000000," ","integrate((b*x+a)**(1/4)/x**2/(d*x+c)**(1/4),x)","\int \frac{\sqrt[4]{a + b x}}{x^{2} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/4)/(x**2*(c + d*x)**(1/4)), x)","F",0
889,0,0,0,0.000000," ","integrate((b*x+a)**(1/4)/x**3/(d*x+c)**(1/4),x)","\int \frac{\sqrt[4]{a + b x}}{x^{3} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/4)/(x**3*(c + d*x)**(1/4)), x)","F",0
890,0,0,0,0.000000," ","integrate((b*x+a)**(1/4)/x**4/(d*x+c)**(1/4),x)","\int \frac{\sqrt[4]{a + b x}}{x^{4} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/4)/(x**4*(c + d*x)**(1/4)), x)","F",0
891,0,0,0,0.000000," ","integrate((b*x+a)**(1/4)/x**5/(d*x+c)**(1/4),x)","\int \frac{\sqrt[4]{a + b x}}{x^{5} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/4)/(x**5*(c + d*x)**(1/4)), x)","F",0
892,0,0,0,0.000000," ","integrate(x**2*(1+x)**(1/4)/(1-x)**(1/4),x)","\int \frac{x^{2} \sqrt[4]{x + 1}}{\sqrt[4]{1 - x}}\, dx"," ",0,"Integral(x**2*(x + 1)**(1/4)/(1 - x)**(1/4), x)","F",0
893,0,0,0,0.000000," ","integrate(x*(1+x)**(1/4)/(1-x)**(1/4),x)","\int \frac{x \sqrt[4]{x + 1}}{\sqrt[4]{1 - x}}\, dx"," ",0,"Integral(x*(x + 1)**(1/4)/(1 - x)**(1/4), x)","F",0
894,1,41,0,2.168440," ","integrate((1+x)**(1/4)/(1-x)**(1/4),x)","\frac{2^{\frac{3}{4}} \left(x + 1\right)^{\frac{5}{4}} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{\left(x + 1\right) e^{2 i \pi}}{2}} \right)}}{2 \Gamma\left(\frac{9}{4}\right)}"," ",0,"2**(3/4)*(x + 1)**(5/4)*gamma(5/4)*hyper((1/4, 5/4), (9/4,), (x + 1)*exp_polar(2*I*pi)/2)/(2*gamma(9/4))","C",0
895,0,0,0,0.000000," ","integrate((1+x)**(1/4)/(1-x)**(1/4)/x,x)","\int \frac{\sqrt[4]{x + 1}}{x \sqrt[4]{1 - x}}\, dx"," ",0,"Integral((x + 1)**(1/4)/(x*(1 - x)**(1/4)), x)","F",0
896,0,0,0,0.000000," ","integrate((1+x)**(1/4)/(1-x)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x + 1}}{x^{2} \sqrt[4]{1 - x}}\, dx"," ",0,"Integral((x + 1)**(1/4)/(x**2*(1 - x)**(1/4)), x)","F",0
897,0,0,0,0.000000," ","integrate((1+x)**(1/4)/(1-x)**(1/4)/x**3,x)","\int \frac{\sqrt[4]{x + 1}}{x^{3} \sqrt[4]{1 - x}}\, dx"," ",0,"Integral((x + 1)**(1/4)/(x**3*(1 - x)**(1/4)), x)","F",0
898,0,0,0,0.000000," ","integrate((1+x)**(1/4)/(1-x)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x + 1}}{x^{4} \sqrt[4]{1 - x}}\, dx"," ",0,"Integral((x + 1)**(1/4)/(x**4*(1 - x)**(1/4)), x)","F",0
899,0,0,0,0.000000," ","integrate((1+x)**(1/4)/(1-x)**(1/4)/x**5,x)","\int \frac{\sqrt[4]{x + 1}}{x^{5} \sqrt[4]{1 - x}}\, dx"," ",0,"Integral((x + 1)**(1/4)/(x**5*(1 - x)**(1/4)), x)","F",0
900,0,0,0,0.000000," ","integrate(x**3/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{x^{3}}{\left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(x**3/((a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
901,0,0,0,0.000000," ","integrate(x**2/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{x^{2}}{\left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(x**2/((a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
902,0,0,0,0.000000," ","integrate(x/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{x}{\left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(x/((a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
903,0,0,0,0.000000," ","integrate(1/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{1}{\left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(1/((a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
904,0,0,0,0.000000," ","integrate(1/x/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{1}{x \left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(1/(x*(a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
905,0,0,0,0.000000," ","integrate(1/x**2/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{1}{x^{2} \left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(1/(x**2*(a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
906,0,0,0,0.000000," ","integrate(1/x**3/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{1}{x^{3} \left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(1/(x**3*(a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
907,0,0,0,0.000000," ","integrate(1/x**4/(b*x+a)**(3/4)/(d*x+c)**(1/4),x)","\int \frac{1}{x^{4} \left(a + b x\right)^{\frac{3}{4}} \sqrt[4]{c + d x}}\, dx"," ",0,"Integral(1/(x**4*(a + b*x)**(3/4)*(c + d*x)**(1/4)), x)","F",0
908,1,114,0,14.175776," ","integrate((e*x)**(3/2)/(1-x)**(1/4)/(1+x)**(1/4),x)","- \frac{i e^{\frac{3}{2}} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{5}{8}, - \frac{1}{8} & - \frac{1}{2}, - \frac{1}{4}, 0, 1 \\-1, - \frac{5}{8}, - \frac{1}{2}, - \frac{1}{8}, 0, 0 &  \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{2}}} \right)} e^{\frac{i \pi}{4}}}{4 \pi \Gamma\left(\frac{1}{4}\right)} - \frac{e^{\frac{3}{2}} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{5}{4}, - \frac{9}{8}, - \frac{3}{4}, - \frac{5}{8}, - \frac{1}{4}, 1 &  \\- \frac{9}{8}, - \frac{5}{8} & - \frac{5}{4}, -1, - \frac{3}{4}, 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi \Gamma\left(\frac{1}{4}\right)}"," ",0,"-I*e**(3/2)*meijerg(((-5/8, -1/8), (-1/2, -1/4, 0, 1)), ((-1, -5/8, -1/2, -1/8, 0, 0), ()), exp_polar(-2*I*pi)/x**2)*exp(I*pi/4)/(4*pi*gamma(1/4)) - e**(3/2)*meijerg(((-5/4, -9/8, -3/4, -5/8, -1/4, 1), ()), ((-9/8, -5/8), (-5/4, -1, -3/4, 0)), x**(-2))/(4*pi*gamma(1/4))","C",0
909,1,90,0,7.967227," ","integrate(1/(1-x)**(1/4)/(e*x)**(1/2)/(1+x)**(1/4),x)","- \frac{i {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{3}{8}, \frac{7}{8} & \frac{1}{2}, \frac{3}{4}, 1, 1 \\0, \frac{3}{8}, \frac{1}{2}, \frac{7}{8}, 1, 0 &  \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{2}}} \right)} e^{\frac{i \pi}{4}}}{4 \pi \sqrt{e} \Gamma\left(\frac{1}{4}\right)} - \frac{{G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{3}{4}, 1 &  \\- \frac{1}{8}, \frac{3}{8} & - \frac{1}{4}, 0, \frac{1}{4}, 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi \sqrt{e} \Gamma\left(\frac{1}{4}\right)}"," ",0,"-I*meijerg(((3/8, 7/8), (1/2, 3/4, 1, 1)), ((0, 3/8, 1/2, 7/8, 1, 0), ()), exp_polar(-2*I*pi)/x**2)*exp(I*pi/4)/(4*pi*sqrt(e)*gamma(1/4)) - meijerg(((-1/4, -1/8, 1/4, 3/8, 3/4, 1), ()), ((-1/8, 3/8), (-1/4, 0, 1/4, 0)), x**(-2))/(4*pi*sqrt(e)*gamma(1/4))","C",0
910,1,82,0,65.190791," ","integrate(1/(1-x)**(1/4)/(e*x)**(5/2)/(1+x)**(1/4),x)","\frac{i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{11}{8}, \frac{15}{8}, 1 & \frac{3}{2}, \frac{7}{4}, 2 \\1, \frac{11}{8}, \frac{3}{2}, \frac{15}{8}, 2 & 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{2}}} \right)} e^{\frac{i \pi}{4}}}{4 \pi e^{\frac{5}{2}} \Gamma\left(\frac{1}{4}\right)} - \frac{{G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{3}{4}, \frac{7}{8}, \frac{5}{4}, \frac{11}{8}, \frac{7}{4}, 1 &  \\\frac{7}{8}, \frac{11}{8} & \frac{3}{4}, 1, \frac{5}{4}, 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi e^{\frac{5}{2}} \Gamma\left(\frac{1}{4}\right)}"," ",0,"I*meijerg(((11/8, 15/8, 1), (3/2, 7/4, 2)), ((1, 11/8, 3/2, 15/8, 2), (0,)), exp_polar(-2*I*pi)/x**2)*exp(I*pi/4)/(4*pi*e**(5/2)*gamma(1/4)) - meijerg(((3/4, 7/8, 5/4, 11/8, 7/4, 1), ()), ((7/8, 11/8), (3/4, 1, 5/4, 0)), x**(-2))/(4*pi*e**(5/2)*gamma(1/4))","C",0
911,-1,0,0,0.000000," ","integrate(1/(1-x)**(1/4)/(e*x)**(9/2)/(1+x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
912,-1,0,0,0.000000," ","integrate(1/(1-x)**(1/4)/(e*x)**(13/2)/(1+x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
913,1,119,0,94.565761," ","integrate((e*x)**(5/2)/(1-x)**(1/4)/(1+x)**(1/4),x)","\frac{i e^{\frac{5}{2}} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{9}{8}, - \frac{5}{8} & -1, - \frac{3}{4}, - \frac{1}{2}, 1 \\- \frac{3}{2}, - \frac{9}{8}, -1, - \frac{5}{8}, - \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{2}}} \right)} e^{\frac{i \pi}{4}}}{4 \pi \Gamma\left(\frac{1}{4}\right)} - \frac{e^{\frac{5}{2}} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{7}{4}, - \frac{13}{8}, - \frac{5}{4}, - \frac{9}{8}, - \frac{3}{4}, 1 &  \\- \frac{13}{8}, - \frac{9}{8} & - \frac{7}{4}, - \frac{3}{2}, - \frac{5}{4}, 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi \Gamma\left(\frac{1}{4}\right)}"," ",0,"I*e**(5/2)*meijerg(((-9/8, -5/8), (-1, -3/4, -1/2, 1)), ((-3/2, -9/8, -1, -5/8, -1/2, 0), ()), exp_polar(-2*I*pi)/x**2)*exp(I*pi/4)/(4*pi*gamma(1/4)) - e**(5/2)*meijerg(((-7/4, -13/8, -5/4, -9/8, -3/4, 1), ()), ((-13/8, -9/8), (-7/4, -3/2, -5/4, 0)), x**(-2))/(4*pi*gamma(1/4))","C",0
914,1,105,0,4.343710," ","integrate((e*x)**(1/2)/(1-x)**(1/4)/(1+x)**(1/4),x)","\frac{i \sqrt{e} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{8}, \frac{3}{8} & 0, \frac{1}{4}, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{8}, 0, \frac{3}{8}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{2}}} \right)} e^{\frac{i \pi}{4}}}{4 \pi \Gamma\left(\frac{1}{4}\right)} - \frac{\sqrt{e} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{3}{4}, - \frac{5}{8}, - \frac{1}{4}, - \frac{1}{8}, \frac{1}{4}, 1 &  \\- \frac{5}{8}, - \frac{1}{8} & - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi \Gamma\left(\frac{1}{4}\right)}"," ",0,"I*sqrt(e)*meijerg(((-1/8, 3/8), (0, 1/4, 1/2, 1)), ((-1/2, -1/8, 0, 3/8, 1/2, 0), ()), exp_polar(-2*I*pi)/x**2)*exp(I*pi/4)/(4*pi*gamma(1/4)) - sqrt(e)*meijerg(((-3/4, -5/8, -1/4, -1/8, 1/4, 1), ()), ((-5/8, -1/8), (-3/4, -1/2, -1/4, 0)), x**(-2))/(4*pi*gamma(1/4))","C",0
915,1,87,0,22.002325," ","integrate(1/(1-x)**(1/4)/(e*x)**(3/2)/(1+x)**(1/4),x)","- \frac{i {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{7}{8}, \frac{11}{8}, 1 & 1, \frac{5}{4}, \frac{3}{2} \\\frac{1}{2}, \frac{7}{8}, 1, \frac{11}{8}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{2}}} \right)} e^{\frac{i \pi}{4}}}{4 \pi e^{\frac{3}{2}} \Gamma\left(\frac{1}{4}\right)} - \frac{{G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{4}, \frac{3}{8}, \frac{3}{4}, \frac{7}{8}, \frac{5}{4}, 1 &  \\\frac{3}{8}, \frac{7}{8} & \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi e^{\frac{3}{2}} \Gamma\left(\frac{1}{4}\right)}"," ",0,"-I*meijerg(((7/8, 11/8, 1), (1, 5/4, 3/2)), ((1/2, 7/8, 1, 11/8, 3/2), (0,)), exp_polar(-2*I*pi)/x**2)*exp(I*pi/4)/(4*pi*e**(3/2)*gamma(1/4)) - meijerg(((1/4, 3/8, 3/4, 7/8, 5/4, 1), ()), ((3/8, 7/8), (1/4, 1/2, 3/4, 0)), x**(-2))/(4*pi*e**(3/2)*gamma(1/4))","C",0
916,-1,0,0,0.000000," ","integrate(1/(1-x)**(1/4)/(e*x)**(7/2)/(1+x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
917,-1,0,0,0.000000," ","integrate(1/(1-x)**(1/4)/(e*x)**(11/2)/(1+x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
918,1,2462,0,3.027642," ","integrate(x**2*(b*x+a)**n*(d*x+c),x)","\begin{cases} a^{n} \left(\frac{c x^{3}}{3} + \frac{d x^{4}}{4}\right) & \text{for}\: b = 0 \\\frac{6 a^{3} d \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{11 a^{3} d}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{2 a^{2} b c}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a^{2} b d x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{27 a^{2} b d x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 a b^{2} c x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 b^{3} c x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{6 b^{3} d x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} & \text{for}\: n = -4 \\- \frac{6 a^{3} d \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{9 a^{3} d}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 a^{2} b c \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{3 a^{2} b c}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} c x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} c x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{6 a b^{2} d x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} c x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} d x^{3}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} & \text{for}\: n = -3 \\\frac{6 a^{3} d \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{3} d}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b c \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b c}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{2} b d x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{4 a b^{2} c x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{3 a b^{2} d x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} c x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{b^{3} d x^{3}}{2 a b^{4} + 2 b^{5} x} & \text{for}\: n = -2 \\- \frac{a^{3} d \log{\left(\frac{a}{b} + x \right)}}{b^{4}} + \frac{a^{2} c \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{a^{2} d x}{b^{3}} - \frac{a c x}{b^{2}} - \frac{a d x^{2}}{2 b^{2}} + \frac{c x^{2}}{2 b} + \frac{d x^{3}}{3 b} & \text{for}\: n = -1 \\- \frac{6 a^{4} d \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{2 a^{3} b c n \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{8 a^{3} b c \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 a^{3} b d n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{2 a^{2} b^{2} c n^{2} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{8 a^{2} b^{2} c n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 a^{2} b^{2} d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 a^{2} b^{2} d n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{a b^{3} c n^{3} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{5 a b^{3} c n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{4 a b^{3} c n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{a b^{3} d n^{3} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{3 a b^{3} d n^{2} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{2 a b^{3} d n x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{b^{4} c n^{3} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{7 b^{4} c n^{2} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{14 b^{4} c n x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{8 b^{4} c x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{b^{4} d n^{3} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 b^{4} d n^{2} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{11 b^{4} d n x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 b^{4} d x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c*x**3/3 + d*x**4/4), Eq(b, 0)), (6*a**3*d*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 11*a**3*d/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 2*a**2*b*c/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a**2*b*d*x*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 27*a**2*b*d*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*a*b**2*c*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d*x**2*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*b**3*c*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 6*b**3*d*x**3*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3), Eq(n, -4)), (-6*a**3*d*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 9*a**3*d/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*a**2*b*c*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 3*a**2*b*c/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*c*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*c*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 6*a*b**2*d*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*c*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*d*x**3/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2), Eq(n, -3)), (6*a**3*d*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 6*a**3*d/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*c*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*c/(2*a*b**4 + 2*b**5*x) + 6*a**2*b*d*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 4*a*b**2*c*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 3*a*b**2*d*x**2/(2*a*b**4 + 2*b**5*x) + 2*b**3*c*x**2/(2*a*b**4 + 2*b**5*x) + b**3*d*x**3/(2*a*b**4 + 2*b**5*x), Eq(n, -2)), (-a**3*d*log(a/b + x)/b**4 + a**2*c*log(a/b + x)/b**3 + a**2*d*x/b**3 - a*c*x/b**2 - a*d*x**2/(2*b**2) + c*x**2/(2*b) + d*x**3/(3*b), Eq(n, -1)), (-6*a**4*d*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 2*a**3*b*c*n*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 8*a**3*b*c*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*a**3*b*d*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 2*a**2*b**2*c*n**2*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 8*a**2*b**2*c*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*a**2*b**2*d*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*a**2*b**2*d*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + a*b**3*c*n**3*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 5*a*b**3*c*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 4*a*b**3*c*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + a*b**3*d*n**3*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 3*a*b**3*d*n**2*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 2*a*b**3*d*n*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + b**4*c*n**3*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 7*b**4*c*n**2*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 14*b**4*c*n*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 8*b**4*c*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + b**4*d*n**3*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*b**4*d*n**2*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 11*b**4*d*n*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*b**4*d*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4), True))","A",0
919,1,1095,0,1.698378," ","integrate(x*(b*x+a)**n*(d*x+c),x)","\begin{cases} a^{n} \left(\frac{c x^{2}}{2} + \frac{d x^{3}}{3}\right) & \text{for}\: b = 0 \\\frac{2 a^{2} d \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{3 a^{2} d}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} - \frac{a b c}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{4 a b d x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{4 a b d x}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} - \frac{2 b^{2} c x}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{2 b^{2} d x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} & \text{for}\: n = -3 \\- \frac{2 a^{2} d \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} - \frac{2 a^{2} d}{a b^{3} + b^{4} x} + \frac{a b c \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} + \frac{a b c}{a b^{3} + b^{4} x} - \frac{2 a b d x \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} + \frac{b^{2} c x \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} + \frac{b^{2} d x^{2}}{a b^{3} + b^{4} x} & \text{for}\: n = -2 \\\frac{a^{2} d \log{\left(\frac{a}{b} + x \right)}}{b^{3}} - \frac{a c \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{a d x}{b^{2}} + \frac{c x}{b} + \frac{d x^{2}}{2 b} & \text{for}\: n = -1 \\\frac{2 a^{3} d \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{a^{2} b c n \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{3 a^{2} b c \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{2 a^{2} b d n x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} c n^{2} x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{3 a b^{2} c n x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} d n x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{b^{3} c n^{2} x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{4 b^{3} c n x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{3 b^{3} c x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{b^{3} d n^{2} x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{3 b^{3} d n x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{2 b^{3} d x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c*x**2/2 + d*x**3/3), Eq(b, 0)), (2*a**2*d*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 3*a**2*d/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) - a*b*c/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 4*a*b*d*x*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 4*a*b*d*x/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) - 2*b**2*c*x/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 2*b**2*d*x**2*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2), Eq(n, -3)), (-2*a**2*d*log(a/b + x)/(a*b**3 + b**4*x) - 2*a**2*d/(a*b**3 + b**4*x) + a*b*c*log(a/b + x)/(a*b**3 + b**4*x) + a*b*c/(a*b**3 + b**4*x) - 2*a*b*d*x*log(a/b + x)/(a*b**3 + b**4*x) + b**2*c*x*log(a/b + x)/(a*b**3 + b**4*x) + b**2*d*x**2/(a*b**3 + b**4*x), Eq(n, -2)), (a**2*d*log(a/b + x)/b**3 - a*c*log(a/b + x)/b**2 - a*d*x/b**2 + c*x/b + d*x**2/(2*b), Eq(n, -1)), (2*a**3*d*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - a**2*b*c*n*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 3*a**2*b*c*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 2*a**2*b*d*n*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*c*n**2*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 3*a*b**2*c*n*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*d*n**2*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*d*n*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + b**3*c*n**2*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 4*b**3*c*n*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 3*b**3*c*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + b**3*d*n**2*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 3*b**3*d*n*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 2*b**3*d*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3), True))","A",0
920,1,377,0,0.853488," ","integrate((b*x+a)**n*(d*x+c),x)","\begin{cases} a^{n} \left(c x + \frac{d x^{2}}{2}\right) & \text{for}\: b = 0 \\\frac{a d \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} + \frac{a d}{a b^{2} + b^{3} x} - \frac{b c}{a b^{2} + b^{3} x} + \frac{b d x \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} & \text{for}\: n = -2 \\- \frac{a d \log{\left(\frac{a}{b} + x \right)}}{b^{2}} + \frac{c \log{\left(\frac{a}{b} + x \right)}}{b} + \frac{d x}{b} & \text{for}\: n = -1 \\- \frac{a^{2} d \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{a b c n \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{2 a b c \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{a b d n x \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} c n x \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{2 b^{2} c x \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} d n x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} d x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c*x + d*x**2/2), Eq(b, 0)), (a*d*log(a/b + x)/(a*b**2 + b**3*x) + a*d/(a*b**2 + b**3*x) - b*c/(a*b**2 + b**3*x) + b*d*x*log(a/b + x)/(a*b**2 + b**3*x), Eq(n, -2)), (-a*d*log(a/b + x)/b**2 + c*log(a/b + x)/b + d*x/b, Eq(n, -1)), (-a**2*d*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + a*b*c*n*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + 2*a*b*c*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + a*b*d*n*x*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*c*n*x*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + 2*b**2*c*x*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*d*n*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*d*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2), True))","A",0
921,1,170,0,5.756923," ","integrate((b*x+a)**n*(d*x+c)/x,x)","- \frac{b^{n} c n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{b^{n} c \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + d \left(\begin{cases} a^{n} x & \text{for}\: b = 0 \\\frac{\begin{cases} \frac{\left(a + b x\right)^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(a + b x \right)} & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) - \frac{b b^{n} c n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)}"," ",0,"-b**n*c*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - b**n*c*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + d*Piecewise((a**n*x, Eq(b, 0)), (Piecewise(((a + b*x)**(n + 1)/(n + 1), Ne(n, -1)), (log(a + b*x), True))/b, True)) - b*b**n*c*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2))","A",0
922,1,493,0,6.232028," ","integrate((b*x+a)**n*(d*x+c)/x**2,x)","\frac{b^{n} c n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} + \frac{b^{n} c n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} c n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} c \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{b^{n} d \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + \frac{b b^{n} c n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} + \frac{b b^{n} c n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} d n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} d x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} c n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} c n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)}"," ",0,"b**n*c*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) + b**n*c*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) - b**n*c*n*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - b**n*c*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - b**n*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - b**n*d*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + b*b**n*c*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) + b*b**n*c*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c*n*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*d*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*d*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b**2*b**n*c*n**2*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2)) - b**2*b**n*c*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2))","B",0
923,1,6418,0,6.924555," ","integrate(x**2*(b*x+a)**n*(d*x+c)**2,x)","\begin{cases} a^{n} \left(\frac{c^{2} x^{3}}{3} + \frac{c d x^{4}}{2} + \frac{d^{2} x^{5}}{5}\right) & \text{for}\: b = 0 \\\frac{12 a^{4} d^{2} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{25 a^{4} d^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{6 a^{3} b c d}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{48 a^{3} b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{88 a^{3} b d^{2} x}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{a^{2} b^{2} c^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{24 a^{2} b^{2} c d x}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{72 a^{2} b^{2} d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{108 a^{2} b^{2} d^{2} x^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{4 a b^{3} c^{2} x}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{36 a b^{3} c d x^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{48 a b^{3} d^{2} x^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{48 a b^{3} d^{2} x^{3}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{6 b^{4} c^{2} x^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{24 b^{4} c d x^{3}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{12 b^{4} d^{2} x^{4} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} & \text{for}\: n = -5 \\- \frac{12 a^{4} d^{2} \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{22 a^{4} d^{2}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{6 a^{3} b c d \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{11 a^{3} b c d}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{36 a^{3} b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{54 a^{3} b d^{2} x}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{a^{2} b^{2} c^{2}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{18 a^{2} b^{2} c d x \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{27 a^{2} b^{2} c d x}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{36 a^{2} b^{2} d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{36 a^{2} b^{2} d^{2} x^{2}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{3 a b^{3} c^{2} x}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{18 a b^{3} c d x^{2} \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{18 a b^{3} c d x^{2}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{12 a b^{3} d^{2} x^{3} \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} - \frac{3 b^{4} c^{2} x^{2}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{6 b^{4} c d x^{3} \log{\left(\frac{a}{b} + x \right)}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} + \frac{3 b^{4} d^{2} x^{4}}{3 a^{3} b^{5} + 9 a^{2} b^{6} x + 9 a b^{7} x^{2} + 3 b^{8} x^{3}} & \text{for}\: n = -4 \\\frac{12 a^{4} d^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{18 a^{4} d^{2}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{12 a^{3} b c d \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{18 a^{3} b c d}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{24 a^{3} b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{24 a^{3} b d^{2} x}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{2 a^{2} b^{2} c^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{3 a^{2} b^{2} c^{2}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{24 a^{2} b^{2} c d x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{24 a^{2} b^{2} c d x}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{12 a^{2} b^{2} d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{4 a b^{3} c^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{4 a b^{3} c^{2} x}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{12 a b^{3} c d x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{4 a b^{3} d^{2} x^{3}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{2 b^{4} c^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{4 b^{4} c d x^{3}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{b^{4} d^{2} x^{4}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} & \text{for}\: n = -3 \\- \frac{12 a^{4} d^{2} \log{\left(\frac{a}{b} + x \right)}}{3 a b^{5} + 3 b^{6} x} - \frac{12 a^{4} d^{2}}{3 a b^{5} + 3 b^{6} x} + \frac{18 a^{3} b c d \log{\left(\frac{a}{b} + x \right)}}{3 a b^{5} + 3 b^{6} x} + \frac{18 a^{3} b c d}{3 a b^{5} + 3 b^{6} x} - \frac{12 a^{3} b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{3 a b^{5} + 3 b^{6} x} - \frac{6 a^{2} b^{2} c^{2} \log{\left(\frac{a}{b} + x \right)}}{3 a b^{5} + 3 b^{6} x} - \frac{6 a^{2} b^{2} c^{2}}{3 a b^{5} + 3 b^{6} x} + \frac{18 a^{2} b^{2} c d x \log{\left(\frac{a}{b} + x \right)}}{3 a b^{5} + 3 b^{6} x} + \frac{6 a^{2} b^{2} d^{2} x^{2}}{3 a b^{5} + 3 b^{6} x} - \frac{6 a b^{3} c^{2} x \log{\left(\frac{a}{b} + x \right)}}{3 a b^{5} + 3 b^{6} x} - \frac{9 a b^{3} c d x^{2}}{3 a b^{5} + 3 b^{6} x} - \frac{2 a b^{3} d^{2} x^{3}}{3 a b^{5} + 3 b^{6} x} + \frac{3 b^{4} c^{2} x^{2}}{3 a b^{5} + 3 b^{6} x} + \frac{3 b^{4} c d x^{3}}{3 a b^{5} + 3 b^{6} x} + \frac{b^{4} d^{2} x^{4}}{3 a b^{5} + 3 b^{6} x} & \text{for}\: n = -2 \\\frac{a^{4} d^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{5}} - \frac{2 a^{3} c d \log{\left(\frac{a}{b} + x \right)}}{b^{4}} - \frac{a^{3} d^{2} x}{b^{4}} + \frac{a^{2} c^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{2 a^{2} c d x}{b^{3}} + \frac{a^{2} d^{2} x^{2}}{2 b^{3}} - \frac{a c^{2} x}{b^{2}} - \frac{a c d x^{2}}{b^{2}} - \frac{a d^{2} x^{3}}{3 b^{2}} + \frac{c^{2} x^{2}}{2 b} + \frac{2 c d x^{3}}{3 b} + \frac{d^{2} x^{4}}{4 b} & \text{for}\: n = -1 \\\frac{24 a^{5} d^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{12 a^{4} b c d n \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{60 a^{4} b c d \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{24 a^{4} b d^{2} n x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{2 a^{3} b^{2} c^{2} n^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{18 a^{3} b^{2} c^{2} n \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{40 a^{3} b^{2} c^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 a^{3} b^{2} c d n^{2} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{60 a^{3} b^{2} c d n x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 a^{3} b^{2} d^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 a^{3} b^{2} d^{2} n x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{2 a^{2} b^{3} c^{2} n^{3} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{18 a^{2} b^{3} c^{2} n^{2} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{40 a^{2} b^{3} c^{2} n x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{6 a^{2} b^{3} c d n^{3} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{36 a^{2} b^{3} c d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{30 a^{2} b^{3} c d n x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{4 a^{2} b^{3} d^{2} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{12 a^{2} b^{3} d^{2} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{8 a^{2} b^{3} d^{2} n x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{a b^{4} c^{2} n^{4} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{10 a b^{4} c^{2} n^{3} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{29 a b^{4} c^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{20 a b^{4} c^{2} n x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{2 a b^{4} c d n^{4} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{16 a b^{4} c d n^{3} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{34 a b^{4} c d n^{2} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{20 a b^{4} c d n x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{a b^{4} d^{2} n^{4} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{6 a b^{4} d^{2} n^{3} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{11 a b^{4} d^{2} n^{2} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{6 a b^{4} d^{2} n x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{b^{5} c^{2} n^{4} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 b^{5} c^{2} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{49 b^{5} c^{2} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{78 b^{5} c^{2} n x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{40 b^{5} c^{2} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{2 b^{5} c d n^{4} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{22 b^{5} c d n^{3} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{82 b^{5} c d n^{2} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{122 b^{5} c d n x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{60 b^{5} c d x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{b^{5} d^{2} n^{4} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{10 b^{5} d^{2} n^{3} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{35 b^{5} d^{2} n^{2} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{50 b^{5} d^{2} n x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{24 b^{5} d^{2} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c**2*x**3/3 + c*d*x**4/2 + d**2*x**5/5), Eq(b, 0)), (12*a**4*d**2*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 25*a**4*d**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 6*a**3*b*c*d/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 48*a**3*b*d**2*x*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 88*a**3*b*d**2*x/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - a**2*b**2*c**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 24*a**2*b**2*c*d*x/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 72*a**2*b**2*d**2*x**2*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 108*a**2*b**2*d**2*x**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 4*a*b**3*c**2*x/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 36*a*b**3*c*d*x**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 48*a*b**3*d**2*x**3*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 48*a*b**3*d**2*x**3/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 6*b**4*c**2*x**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 24*b**4*c*d*x**3/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 12*b**4*d**2*x**4*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4), Eq(n, -5)), (-12*a**4*d**2*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 22*a**4*d**2/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 6*a**3*b*c*d*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 11*a**3*b*c*d/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 36*a**3*b*d**2*x*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 54*a**3*b*d**2*x/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - a**2*b**2*c**2/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 18*a**2*b**2*c*d*x*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 27*a**2*b**2*c*d*x/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 36*a**2*b**2*d**2*x**2*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 36*a**2*b**2*d**2*x**2/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 3*a*b**3*c**2*x/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 18*a*b**3*c*d*x**2*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 18*a*b**3*c*d*x**2/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 12*a*b**3*d**2*x**3*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) - 3*b**4*c**2*x**2/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 6*b**4*c*d*x**3*log(a/b + x)/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3) + 3*b**4*d**2*x**4/(3*a**3*b**5 + 9*a**2*b**6*x + 9*a*b**7*x**2 + 3*b**8*x**3), Eq(n, -4)), (12*a**4*d**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 18*a**4*d**2/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 12*a**3*b*c*d*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 18*a**3*b*c*d/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 24*a**3*b*d**2*x*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 24*a**3*b*d**2*x/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 2*a**2*b**2*c**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 3*a**2*b**2*c**2/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 24*a**2*b**2*c*d*x*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 24*a**2*b**2*c*d*x/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 12*a**2*b**2*d**2*x**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 4*a*b**3*c**2*x*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 4*a*b**3*c**2*x/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 12*a*b**3*c*d*x**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 4*a*b**3*d**2*x**3/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 2*b**4*c**2*x**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 4*b**4*c*d*x**3/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + b**4*d**2*x**4/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2), Eq(n, -3)), (-12*a**4*d**2*log(a/b + x)/(3*a*b**5 + 3*b**6*x) - 12*a**4*d**2/(3*a*b**5 + 3*b**6*x) + 18*a**3*b*c*d*log(a/b + x)/(3*a*b**5 + 3*b**6*x) + 18*a**3*b*c*d/(3*a*b**5 + 3*b**6*x) - 12*a**3*b*d**2*x*log(a/b + x)/(3*a*b**5 + 3*b**6*x) - 6*a**2*b**2*c**2*log(a/b + x)/(3*a*b**5 + 3*b**6*x) - 6*a**2*b**2*c**2/(3*a*b**5 + 3*b**6*x) + 18*a**2*b**2*c*d*x*log(a/b + x)/(3*a*b**5 + 3*b**6*x) + 6*a**2*b**2*d**2*x**2/(3*a*b**5 + 3*b**6*x) - 6*a*b**3*c**2*x*log(a/b + x)/(3*a*b**5 + 3*b**6*x) - 9*a*b**3*c*d*x**2/(3*a*b**5 + 3*b**6*x) - 2*a*b**3*d**2*x**3/(3*a*b**5 + 3*b**6*x) + 3*b**4*c**2*x**2/(3*a*b**5 + 3*b**6*x) + 3*b**4*c*d*x**3/(3*a*b**5 + 3*b**6*x) + b**4*d**2*x**4/(3*a*b**5 + 3*b**6*x), Eq(n, -2)), (a**4*d**2*log(a/b + x)/b**5 - 2*a**3*c*d*log(a/b + x)/b**4 - a**3*d**2*x/b**4 + a**2*c**2*log(a/b + x)/b**3 + 2*a**2*c*d*x/b**3 + a**2*d**2*x**2/(2*b**3) - a*c**2*x/b**2 - a*c*d*x**2/b**2 - a*d**2*x**3/(3*b**2) + c**2*x**2/(2*b) + 2*c*d*x**3/(3*b) + d**2*x**4/(4*b), Eq(n, -1)), (24*a**5*d**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 12*a**4*b*c*d*n*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 60*a**4*b*c*d*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 24*a**4*b*d**2*n*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 2*a**3*b**2*c**2*n**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 18*a**3*b**2*c**2*n*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 40*a**3*b**2*c**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*a**3*b**2*c*d*n**2*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 60*a**3*b**2*c*d*n*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*a**3*b**2*d**2*n**2*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*a**3*b**2*d**2*n*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 2*a**2*b**3*c**2*n**3*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 18*a**2*b**3*c**2*n**2*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 40*a**2*b**3*c**2*n*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 6*a**2*b**3*c*d*n**3*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 36*a**2*b**3*c*d*n**2*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 30*a**2*b**3*c*d*n*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 4*a**2*b**3*d**2*n**3*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 12*a**2*b**3*d**2*n**2*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 8*a**2*b**3*d**2*n*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + a*b**4*c**2*n**4*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 10*a*b**4*c**2*n**3*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 29*a*b**4*c**2*n**2*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 20*a*b**4*c**2*n*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 2*a*b**4*c*d*n**4*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 16*a*b**4*c*d*n**3*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 34*a*b**4*c*d*n**2*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 20*a*b**4*c*d*n*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + a*b**4*d**2*n**4*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 6*a*b**4*d**2*n**3*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 11*a*b**4*d**2*n**2*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 6*a*b**4*d**2*n*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + b**5*c**2*n**4*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*b**5*c**2*n**3*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 49*b**5*c**2*n**2*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 78*b**5*c**2*n*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 40*b**5*c**2*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 2*b**5*c*d*n**4*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 22*b**5*c*d*n**3*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 82*b**5*c*d*n**2*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 122*b**5*c*d*n*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 60*b**5*c*d*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + b**5*d**2*n**4*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 10*b**5*d**2*n**3*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 35*b**5*d**2*n**2*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 50*b**5*d**2*n*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 24*b**5*d**2*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5), True))","A",0
924,1,3412,0,4.162532," ","integrate(x*(b*x+a)**n*(d*x+c)**2,x)","\begin{cases} a^{n} \left(\frac{c^{2} x^{2}}{2} + \frac{2 c d x^{3}}{3} + \frac{d^{2} x^{4}}{4}\right) & \text{for}\: b = 0 \\\frac{6 a^{3} d^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{11 a^{3} d^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{4 a^{2} b c d}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a^{2} b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{27 a^{2} b d^{2} x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{a b^{2} c^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{12 a b^{2} c d x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d^{2} x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{3 b^{3} c^{2} x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{12 b^{3} c d x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{6 b^{3} d^{2} x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} & \text{for}\: n = -4 \\- \frac{6 a^{3} d^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{9 a^{3} d^{2}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a^{2} b c d \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{6 a^{2} b c d}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d^{2} x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{a b^{2} c^{2}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{8 a b^{2} c d x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{8 a b^{2} c d x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{6 a b^{2} d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{2 b^{3} c^{2} x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 b^{3} c d x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} d^{2} x^{3}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} & \text{for}\: n = -3 \\\frac{6 a^{3} d^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{3} d^{2}}{2 a b^{4} + 2 b^{5} x} - \frac{8 a^{2} b c d \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{8 a^{2} b c d}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{2} b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} c^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} c^{2}}{2 a b^{4} + 2 b^{5} x} - \frac{8 a b^{2} c d x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{3 a b^{2} d^{2} x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} c^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{4 b^{3} c d x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{b^{3} d^{2} x^{3}}{2 a b^{4} + 2 b^{5} x} & \text{for}\: n = -2 \\- \frac{a^{3} d^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{4}} + \frac{2 a^{2} c d \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{a^{2} d^{2} x}{b^{3}} - \frac{a c^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{2 a c d x}{b^{2}} - \frac{a d^{2} x^{2}}{2 b^{2}} + \frac{c^{2} x}{b} + \frac{c d x^{2}}{b} + \frac{d^{2} x^{3}}{3 b} & \text{for}\: n = -1 \\- \frac{6 a^{4} d^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{4 a^{3} b c d n \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{16 a^{3} b c d \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 a^{3} b d^{2} n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{a^{2} b^{2} c^{2} n^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{7 a^{2} b^{2} c^{2} n \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{12 a^{2} b^{2} c^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{4 a^{2} b^{2} c d n^{2} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{16 a^{2} b^{2} c d n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 a^{2} b^{2} d^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 a^{2} b^{2} d^{2} n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{a b^{3} c^{2} n^{3} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{7 a b^{3} c^{2} n^{2} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{12 a b^{3} c^{2} n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{2 a b^{3} c d n^{3} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{10 a b^{3} c d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{8 a b^{3} c d n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{a b^{3} d^{2} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{3 a b^{3} d^{2} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{2 a b^{3} d^{2} n x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{b^{4} c^{2} n^{3} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{8 b^{4} c^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{19 b^{4} c^{2} n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{12 b^{4} c^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{2 b^{4} c d n^{3} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{14 b^{4} c d n^{2} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{28 b^{4} c d n x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{16 b^{4} c d x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{b^{4} d^{2} n^{3} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 b^{4} d^{2} n^{2} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{11 b^{4} d^{2} n x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 b^{4} d^{2} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c**2*x**2/2 + 2*c*d*x**3/3 + d**2*x**4/4), Eq(b, 0)), (6*a**3*d**2*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 11*a**3*d**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 4*a**2*b*c*d/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a**2*b*d**2*x*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 27*a**2*b*d**2*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - a*b**2*c**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 12*a*b**2*c*d*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d**2*x**2*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d**2*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 3*b**3*c**2*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 12*b**3*c*d*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 6*b**3*d**2*x**3*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3), Eq(n, -4)), (-6*a**3*d**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 9*a**3*d**2/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a**2*b*c*d*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 6*a**2*b*c*d/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d**2*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d**2*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - a*b**2*c**2/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 8*a*b**2*c*d*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 8*a*b**2*c*d*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 6*a*b**2*d**2*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 2*b**3*c**2*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*b**3*c*d*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*d**2*x**3/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2), Eq(n, -3)), (6*a**3*d**2*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 6*a**3*d**2/(2*a*b**4 + 2*b**5*x) - 8*a**2*b*c*d*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 8*a**2*b*c*d/(2*a*b**4 + 2*b**5*x) + 6*a**2*b*d**2*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*c**2*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*c**2/(2*a*b**4 + 2*b**5*x) - 8*a*b**2*c*d*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 3*a*b**2*d**2*x**2/(2*a*b**4 + 2*b**5*x) + 2*b**3*c**2*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 4*b**3*c*d*x**2/(2*a*b**4 + 2*b**5*x) + b**3*d**2*x**3/(2*a*b**4 + 2*b**5*x), Eq(n, -2)), (-a**3*d**2*log(a/b + x)/b**4 + 2*a**2*c*d*log(a/b + x)/b**3 + a**2*d**2*x/b**3 - a*c**2*log(a/b + x)/b**2 - 2*a*c*d*x/b**2 - a*d**2*x**2/(2*b**2) + c**2*x/b + c*d*x**2/b + d**2*x**3/(3*b), Eq(n, -1)), (-6*a**4*d**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 4*a**3*b*c*d*n*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 16*a**3*b*c*d*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*a**3*b*d**2*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - a**2*b**2*c**2*n**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 7*a**2*b**2*c**2*n*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 12*a**2*b**2*c**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 4*a**2*b**2*c*d*n**2*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 16*a**2*b**2*c*d*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*a**2*b**2*d**2*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*a**2*b**2*d**2*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + a*b**3*c**2*n**3*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 7*a*b**3*c**2*n**2*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 12*a*b**3*c**2*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 2*a*b**3*c*d*n**3*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 10*a*b**3*c*d*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 8*a*b**3*c*d*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + a*b**3*d**2*n**3*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 3*a*b**3*d**2*n**2*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 2*a*b**3*d**2*n*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + b**4*c**2*n**3*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 8*b**4*c**2*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 19*b**4*c**2*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 12*b**4*c**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 2*b**4*c*d*n**3*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 14*b**4*c*d*n**2*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 28*b**4*c*d*n*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 16*b**4*c*d*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + b**4*d**2*n**3*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*b**4*d**2*n**2*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 11*b**4*d**2*n*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*b**4*d**2*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4), True))","A",0
925,1,1506,0,2.266901," ","integrate((b*x+a)**n*(d*x+c)**2,x)","\begin{cases} a^{n} \left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) & \text{for}\: b = 0 \\\frac{2 a^{2} d^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{3 a^{2} d^{2}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} - \frac{2 a b c d}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{4 a b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{4 a b d^{2} x}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} - \frac{b^{2} c^{2}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} - \frac{4 b^{2} c d x}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{2 b^{2} d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} & \text{for}\: n = -3 \\- \frac{2 a^{2} d^{2} \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} - \frac{2 a^{2} d^{2}}{a b^{3} + b^{4} x} + \frac{2 a b c d \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} + \frac{2 a b c d}{a b^{3} + b^{4} x} - \frac{2 a b d^{2} x \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} - \frac{b^{2} c^{2}}{a b^{3} + b^{4} x} + \frac{2 b^{2} c d x \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} + \frac{b^{2} d^{2} x^{2}}{a b^{3} + b^{4} x} & \text{for}\: n = -2 \\\frac{a^{2} d^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{3}} - \frac{2 a c d \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{a d^{2} x}{b^{2}} + \frac{c^{2} \log{\left(\frac{a}{b} + x \right)}}{b} + \frac{2 c d x}{b} + \frac{d^{2} x^{2}}{2 b} & \text{for}\: n = -1 \\\frac{2 a^{3} d^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{2 a^{2} b c d n \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{6 a^{2} b c d \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{2 a^{2} b d^{2} n x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} c^{2} n^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{5 a b^{2} c^{2} n \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{6 a b^{2} c^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{2 a b^{2} c d n^{2} x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{6 a b^{2} c d n x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} d^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} d^{2} n x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{b^{3} c^{2} n^{2} x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{5 b^{3} c^{2} n x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{6 b^{3} c^{2} x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{2 b^{3} c d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{8 b^{3} c d n x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{6 b^{3} c d x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{b^{3} d^{2} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{3 b^{3} d^{2} n x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{2 b^{3} d^{2} x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c**2*x + c*d*x**2 + d**2*x**3/3), Eq(b, 0)), (2*a**2*d**2*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 3*a**2*d**2/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) - 2*a*b*c*d/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 4*a*b*d**2*x*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 4*a*b*d**2*x/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) - b**2*c**2/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) - 4*b**2*c*d*x/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 2*b**2*d**2*x**2*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2), Eq(n, -3)), (-2*a**2*d**2*log(a/b + x)/(a*b**3 + b**4*x) - 2*a**2*d**2/(a*b**3 + b**4*x) + 2*a*b*c*d*log(a/b + x)/(a*b**3 + b**4*x) + 2*a*b*c*d/(a*b**3 + b**4*x) - 2*a*b*d**2*x*log(a/b + x)/(a*b**3 + b**4*x) - b**2*c**2/(a*b**3 + b**4*x) + 2*b**2*c*d*x*log(a/b + x)/(a*b**3 + b**4*x) + b**2*d**2*x**2/(a*b**3 + b**4*x), Eq(n, -2)), (a**2*d**2*log(a/b + x)/b**3 - 2*a*c*d*log(a/b + x)/b**2 - a*d**2*x/b**2 + c**2*log(a/b + x)/b + 2*c*d*x/b + d**2*x**2/(2*b), Eq(n, -1)), (2*a**3*d**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 2*a**2*b*c*d*n*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 6*a**2*b*c*d*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 2*a**2*b*d**2*n*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*c**2*n**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 5*a*b**2*c**2*n*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 6*a*b**2*c**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 2*a*b**2*c*d*n**2*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 6*a*b**2*c*d*n*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*d**2*n**2*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*d**2*n*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + b**3*c**2*n**2*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 5*b**3*c**2*n*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 6*b**3*c**2*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 2*b**3*c*d*n**2*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 8*b**3*c*d*n*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 6*b**3*c*d*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + b**3*d**2*n**2*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 3*b**3*d**2*n*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 2*b**3*d**2*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3), True))","A",0
926,1,386,0,7.697348," ","integrate((b*x+a)**n*(d*x+c)**2/x,x)","- \frac{b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{b^{n} c^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + 2 c d \left(\begin{cases} a^{n} x & \text{for}\: b = 0 \\\frac{\begin{cases} \frac{\left(a + b x\right)^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(a + b x \right)} & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) + d^{2} \left(\begin{cases} \frac{a^{n} x^{2}}{2} & \text{for}\: b = 0 \\\frac{a \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} + \frac{a}{a b^{2} + b^{3} x} + \frac{b x \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} & \text{for}\: n = -2 \\- \frac{a \log{\left(\frac{a}{b} + x \right)}}{b^{2}} + \frac{x}{b} & \text{for}\: n = -1 \\- \frac{a^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{a b n x \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} n x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} & \text{otherwise} \end{cases}\right) - \frac{b b^{n} c^{2} n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c^{2} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)}"," ",0,"-b**n*c**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - b**n*c**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + 2*c*d*Piecewise((a**n*x, Eq(b, 0)), (Piecewise(((a + b*x)**(n + 1)/(n + 1), Ne(n, -1)), (log(a + b*x), True))/b, True)) + d**2*Piecewise((a**n*x**2/2, Eq(b, 0)), (a*log(a/b + x)/(a*b**2 + b**3*x) + a/(a*b**2 + b**3*x) + b*x*log(a/b + x)/(a*b**2 + b**3*x), Eq(n, -2)), (-a*log(a/b + x)/b**2 + x/b, Eq(n, -1)), (-a**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + a*b*n*x*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*n*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2), True)) - b*b**n*c**2*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c**2*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2))","B",0
927,1,554,0,5.979416," ","integrate((b*x+a)**n*(d*x+c)**2/x**2,x)","\frac{b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} + \frac{b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} c^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{2 b^{n} c d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{2 b^{n} c d \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + d^{2} \left(\begin{cases} a^{n} x & \text{for}\: b = 0 \\\frac{\begin{cases} \frac{\left(a + b x\right)^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(a + b x \right)} & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) + \frac{b b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} + \frac{b b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{2 b b^{n} c d n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{2 b b^{n} c d x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)}"," ",0,"b**n*c**2*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) + b**n*c**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) - b**n*c**2*n*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - b**n*c**2*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - 2*b**n*c*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - 2*b**n*c*d*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + d**2*Piecewise((a**n*x, Eq(b, 0)), (Piecewise(((a + b*x)**(n + 1)/(n + 1), Ne(n, -1)), (log(a + b*x), True))/b, True)) + b*b**n*c**2*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) + b*b**n*c**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c**2*n*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c**2*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - 2*b*b**n*c*d*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - 2*b*b**n*c*d*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b**2*b**n*c**2*n**2*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2)) - b**2*b**n*c**2*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2))","A",0
928,1,1807,0,7.990217," ","integrate((b*x+a)**n*(d*x+c)**2/x**3,x)","- \frac{a^{3} b^{2} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{3} b^{2} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{3} b^{2} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a^{3} b^{2} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a^{3} b^{2} b^{n} c^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a^{2} b^{3} b^{n} c^{2} n^{3} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{2} b^{3} b^{n} c^{2} n^{2} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{2} b^{3} b^{n} c^{2} n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a^{2} b^{3} b^{n} c^{2} n x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a^{2} b^{3} b^{n} c^{2} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 a b^{4} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a b^{4} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a b^{4} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a b^{4} b^{n} c^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{b^{5} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{b^{5} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 b^{n} c d n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} + \frac{2 b^{n} c d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{2 b^{n} c d n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{2 b^{n} c d \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} d^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{b^{n} d^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + \frac{2 b b^{n} c d n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} + \frac{2 b b^{n} c d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{2 b b^{n} c d n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{2 b b^{n} c d \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} d^{2} n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} d^{2} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{2 b^{2} b^{n} c d n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)} - \frac{2 b^{2} b^{n} c d n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)}"," ",0,"-a**3*b**2*b**n*c**2*n**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**3*b**2*b**n*c**2*n**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**3*b**2*b**n*c**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a**3*b**2*b**n*c**2*n*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a**3*b**2*b**n*c**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a**2*b**3*b**n*c**2*n**3*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**2*b**3*b**n*c**2*n**2*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**2*b**3*b**n*c**2*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a**2*b**3*b**n*c**2*n*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a**2*b**3*b**n*c**2*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*a*b**4*b**n*c**2*n**3*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a*b**4*b**n*c**2*n**2*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a*b**4*b**n*c**2*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a*b**4*b**n*c**2*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - b**5*b**n*c**2*n**3*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + b**5*b**n*c**2*n*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*b**n*c*d*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) + 2*b**n*c*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) - 2*b**n*c*d*n*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - 2*b**n*c*d*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - b**n*d**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - b**n*d**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + 2*b*b**n*c*d*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) + 2*b*b**n*c*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - 2*b*b**n*c*d*n*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - 2*b*b**n*c*d*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*d**2*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*d**2*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - 2*b**2*b**n*c*d*n**2*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2)) - 2*b**2*b**n*c*d*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2))","B",0
929,1,5367,0,9.997378," ","integrate((b*x+a)**n*(d*x+c)**2/x**4,x)","\frac{a^{4} b^{3} b^{n} c^{2} n^{4} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 a^{4} b^{3} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{a^{4} b^{3} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{a^{4} b^{3} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{3 a^{4} b^{3} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{2 a^{4} b^{3} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 a^{4} b^{3} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{6 a^{4} b^{3} b^{n} c^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{a^{3} b^{4} b^{n} c^{2} n^{4} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 a^{3} b^{4} b^{n} c^{2} n^{3} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{a^{3} b^{4} b^{n} c^{2} n^{3} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{a^{3} b^{4} b^{n} c^{2} n^{2} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{3 a^{3} b^{4} b^{n} c^{2} n^{2} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{2 a^{3} b^{4} b^{n} c^{2} n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 a^{3} b^{4} b^{n} c^{2} n x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{6 a^{3} b^{4} b^{n} c^{2} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 a^{3} b^{2} b^{n} c d n^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 a^{3} b^{2} b^{n} c d n^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 a^{3} b^{2} b^{n} c d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a^{3} b^{2} b^{n} c d n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{4 a^{3} b^{2} b^{n} c d \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{3 a^{2} b^{5} b^{n} c^{2} n^{4} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{6 a^{2} b^{5} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{2 a^{2} b^{5} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{3 a^{2} b^{5} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{5 a^{2} b^{5} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{6 a^{2} b^{5} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{a^{2} b^{5} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{6 a^{2} b^{5} b^{n} c^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 a^{2} b^{3} b^{n} c d n^{3} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 a^{2} b^{3} b^{n} c d n^{2} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 a^{2} b^{3} b^{n} c d n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a^{2} b^{3} b^{n} c d n x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{4 a^{2} b^{3} b^{n} c d x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{3 a b^{6} b^{n} c^{2} n^{4} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{6 a b^{6} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{a b^{6} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{3 a b^{6} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{2 a b^{6} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{6 a b^{6} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{a b^{6} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 a b^{6} b^{n} c^{2} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{4 a b^{4} b^{n} c d n^{3} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a b^{4} b^{n} c d n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{4 a b^{4} b^{n} c d n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 a b^{4} b^{n} c d \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{b^{7} b^{n} c^{2} n^{4} \left(\frac{a}{b} + x\right)^{4} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{2 b^{7} b^{n} c^{2} n^{3} \left(\frac{a}{b} + x\right)^{4} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} + \frac{b^{7} b^{n} c^{2} n^{2} \left(\frac{a}{b} + x\right)^{4} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 b^{7} b^{n} c^{2} n \left(\frac{a}{b} + x\right)^{4} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{12 a^{7} \Gamma\left(n + 2\right) + 18 a^{6} b x \Gamma\left(n + 2\right) - 18 a^{5} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right) + 6 a^{4} b^{3} \left(\frac{a}{b} + x\right)^{3} \Gamma\left(n + 2\right)} - \frac{2 b^{5} b^{n} c d n^{3} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 b^{5} b^{n} c d n \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{b^{n} d^{2} n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} + \frac{b^{n} d^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} d^{2} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} d^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} + \frac{b b^{n} d^{2} n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} + \frac{b b^{n} d^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} d^{2} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} d^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} d^{2} n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} d^{2} n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)}"," ",0,"a**4*b**3*b**n*c**2*n**4*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*a**4*b**3*b**n*c**2*n**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - a**4*b**3*b**n*c**2*n**3*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - a**4*b**3*b**n*c**2*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 3*a**4*b**3*b**n*c**2*n**2*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 2*a**4*b**3*b**n*c**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*a**4*b**3*b**n*c**2*n*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 6*a**4*b**3*b**n*c**2*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + a**3*b**4*b**n*c**2*n**4*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*a**3*b**4*b**n*c**2*n**3*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - a**3*b**4*b**n*c**2*n**3*x*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - a**3*b**4*b**n*c**2*n**2*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 3*a**3*b**4*b**n*c**2*n**2*x*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 2*a**3*b**4*b**n*c**2*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*a**3*b**4*b**n*c**2*n*x*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 6*a**3*b**4*b**n*c**2*x*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*a**3*b**2*b**n*c*d*n**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*a**3*b**2*b**n*c*d*n**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*a**3*b**2*b**n*c*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a**3*b**2*b**n*c*d*n*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 4*a**3*b**2*b**n*c*d*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 3*a**2*b**5*b**n*c**2*n**4*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 6*a**2*b**5*b**n*c**2*n**3*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 2*a**2*b**5*b**n*c**2*n**3*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 3*a**2*b**5*b**n*c**2*n**2*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 5*a**2*b**5*b**n*c**2*n**2*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 6*a**2*b**5*b**n*c**2*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - a**2*b**5*b**n*c**2*n*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 6*a**2*b**5*b**n*c**2*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*a**2*b**3*b**n*c*d*n**3*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*a**2*b**3*b**n*c*d*n**2*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*a**2*b**3*b**n*c*d*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a**2*b**3*b**n*c*d*n*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 4*a**2*b**3*b**n*c*d*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 3*a*b**6*b**n*c**2*n**4*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 6*a*b**6*b**n*c**2*n**3*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - a*b**6*b**n*c**2*n**3*(a/b + x)**3*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 3*a*b**6*b**n*c**2*n**2*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 2*a*b**6*b**n*c**2*n**2*(a/b + x)**3*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 6*a*b**6*b**n*c**2*n*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + a*b**6*b**n*c**2*n*(a/b + x)**3*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*a*b**6*b**n*c**2*(a/b + x)**3*(a/b + x)**n*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 4*a*b**4*b**n*c*d*n**3*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a*b**4*b**n*c*d*n**2*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 4*a*b**4*b**n*c*d*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*a*b**4*b**n*c*d*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - b**7*b**n*c**2*n**4*(a/b + x)**4*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + 2*b**7*b**n*c**2*n**3*(a/b + x)**4*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) + b**7*b**n*c**2*n**2*(a/b + x)**4*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*b**7*b**n*c**2*n*(a/b + x)**4*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(12*a**7*gamma(n + 2) + 18*a**6*b*x*gamma(n + 2) - 18*a**5*b**2*(a/b + x)**2*gamma(n + 2) + 6*a**4*b**3*(a/b + x)**3*gamma(n + 2)) - 2*b**5*b**n*c*d*n**3*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*b**5*b**n*c*d*n*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + b**n*d**2*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) + b**n*d**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) - b**n*d**2*n*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - b**n*d**2*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) + b*b**n*d**2*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) + b*b**n*d**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*d**2*n*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*d**2*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - b**2*b**n*d**2*n**2*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2)) - b**2*b**n*d**2*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2))","B",0
930,1,13352,0,13.494912," ","integrate(x**2*(b*x+a)**n*(d*x+c)**3,x)","\begin{cases} a^{n} \left(\frac{c^{3} x^{3}}{3} + \frac{3 c^{2} d x^{4}}{4} + \frac{3 c d^{2} x^{5}}{5} + \frac{d^{3} x^{6}}{6}\right) & \text{for}\: b = 0 \\\frac{60 a^{5} d^{3} \log{\left(\frac{a}{b} + x \right)}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{137 a^{5} d^{3}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{36 a^{4} b c d^{2}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{300 a^{4} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{625 a^{4} b d^{3} x}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{9 a^{3} b^{2} c^{2} d}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{180 a^{3} b^{2} c d^{2} x}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{600 a^{3} b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{1100 a^{3} b^{2} d^{3} x^{2}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{2 a^{2} b^{3} c^{3}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{45 a^{2} b^{3} c^{2} d x}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{360 a^{2} b^{3} c d^{2} x^{2}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{600 a^{2} b^{3} d^{3} x^{3} \log{\left(\frac{a}{b} + x \right)}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{900 a^{2} b^{3} d^{3} x^{3}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{10 a b^{4} c^{3} x}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{90 a b^{4} c^{2} d x^{2}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{360 a b^{4} c d^{2} x^{3}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{300 a b^{4} d^{3} x^{4} \log{\left(\frac{a}{b} + x \right)}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{300 a b^{4} d^{3} x^{4}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{20 b^{5} c^{3} x^{2}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{90 b^{5} c^{2} d x^{3}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} - \frac{180 b^{5} c d^{2} x^{4}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} + \frac{60 b^{5} d^{3} x^{5} \log{\left(\frac{a}{b} + x \right)}}{60 a^{5} b^{6} + 300 a^{4} b^{7} x + 600 a^{3} b^{8} x^{2} + 600 a^{2} b^{9} x^{3} + 300 a b^{10} x^{4} + 60 b^{11} x^{5}} & \text{for}\: n = -6 \\- \frac{60 a^{5} d^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{125 a^{5} d^{3}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{36 a^{4} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{75 a^{4} b c d^{2}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{240 a^{4} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{440 a^{4} b d^{3} x}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{9 a^{3} b^{2} c^{2} d}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{144 a^{3} b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{264 a^{3} b^{2} c d^{2} x}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{360 a^{3} b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{540 a^{3} b^{2} d^{3} x^{2}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{a^{2} b^{3} c^{3}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{36 a^{2} b^{3} c^{2} d x}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{216 a^{2} b^{3} c d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{324 a^{2} b^{3} c d^{2} x^{2}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{240 a^{2} b^{3} d^{3} x^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{240 a^{2} b^{3} d^{3} x^{3}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{4 a b^{4} c^{3} x}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{54 a b^{4} c^{2} d x^{2}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{144 a b^{4} c d^{2} x^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{144 a b^{4} c d^{2} x^{3}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{60 a b^{4} d^{3} x^{4} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{6 b^{5} c^{3} x^{2}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} - \frac{36 b^{5} c^{2} d x^{3}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{36 b^{5} c d^{2} x^{4} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} + \frac{12 b^{5} d^{3} x^{5}}{12 a^{4} b^{6} + 48 a^{3} b^{7} x + 72 a^{2} b^{8} x^{2} + 48 a b^{9} x^{3} + 12 b^{10} x^{4}} & \text{for}\: n = -5 \\\frac{60 a^{5} d^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{110 a^{5} d^{3}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{72 a^{4} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{132 a^{4} b c d^{2}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{180 a^{4} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{270 a^{4} b d^{3} x}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{18 a^{3} b^{2} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{33 a^{3} b^{2} c^{2} d}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{216 a^{3} b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{324 a^{3} b^{2} c d^{2} x}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{180 a^{3} b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{180 a^{3} b^{2} d^{3} x^{2}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{2 a^{2} b^{3} c^{3}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{54 a^{2} b^{3} c^{2} d x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{81 a^{2} b^{3} c^{2} d x}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{216 a^{2} b^{3} c d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{216 a^{2} b^{3} c d^{2} x^{2}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{60 a^{2} b^{3} d^{3} x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{6 a b^{4} c^{3} x}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{54 a b^{4} c^{2} d x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{54 a b^{4} c^{2} d x^{2}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{72 a b^{4} c d^{2} x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{15 a b^{4} d^{3} x^{4}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} - \frac{6 b^{5} c^{3} x^{2}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{18 b^{5} c^{2} d x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{18 b^{5} c d^{2} x^{4}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} + \frac{3 b^{5} d^{3} x^{5}}{6 a^{3} b^{6} + 18 a^{2} b^{7} x + 18 a b^{8} x^{2} + 6 b^{9} x^{3}} & \text{for}\: n = -4 \\- \frac{60 a^{5} d^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{90 a^{5} d^{3}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{108 a^{4} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{162 a^{4} b c d^{2}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{120 a^{4} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{120 a^{4} b d^{3} x}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{54 a^{3} b^{2} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{81 a^{3} b^{2} c^{2} d}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{216 a^{3} b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{216 a^{3} b^{2} c d^{2} x}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{60 a^{3} b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{6 a^{2} b^{3} c^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{9 a^{2} b^{3} c^{3}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{108 a^{2} b^{3} c^{2} d x \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{108 a^{2} b^{3} c^{2} d x}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{108 a^{2} b^{3} c d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{20 a^{2} b^{3} d^{3} x^{3}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{12 a b^{4} c^{3} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{12 a b^{4} c^{3} x}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{54 a b^{4} c^{2} d x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{36 a b^{4} c d^{2} x^{3}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} - \frac{5 a b^{4} d^{3} x^{4}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{6 b^{5} c^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{18 b^{5} c^{2} d x^{3}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{9 b^{5} c d^{2} x^{4}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} + \frac{2 b^{5} d^{3} x^{5}}{6 a^{2} b^{6} + 12 a b^{7} x + 6 b^{8} x^{2}} & \text{for}\: n = -3 \\\frac{60 a^{5} d^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} + \frac{60 a^{5} d^{3}}{12 a b^{6} + 12 b^{7} x} - \frac{144 a^{4} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} - \frac{144 a^{4} b c d^{2}}{12 a b^{6} + 12 b^{7} x} + \frac{60 a^{4} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} + \frac{108 a^{3} b^{2} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} + \frac{108 a^{3} b^{2} c^{2} d}{12 a b^{6} + 12 b^{7} x} - \frac{144 a^{3} b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} - \frac{30 a^{3} b^{2} d^{3} x^{2}}{12 a b^{6} + 12 b^{7} x} - \frac{24 a^{2} b^{3} c^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} - \frac{24 a^{2} b^{3} c^{3}}{12 a b^{6} + 12 b^{7} x} + \frac{108 a^{2} b^{3} c^{2} d x \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} + \frac{72 a^{2} b^{3} c d^{2} x^{2}}{12 a b^{6} + 12 b^{7} x} + \frac{10 a^{2} b^{3} d^{3} x^{3}}{12 a b^{6} + 12 b^{7} x} - \frac{24 a b^{4} c^{3} x \log{\left(\frac{a}{b} + x \right)}}{12 a b^{6} + 12 b^{7} x} - \frac{54 a b^{4} c^{2} d x^{2}}{12 a b^{6} + 12 b^{7} x} - \frac{24 a b^{4} c d^{2} x^{3}}{12 a b^{6} + 12 b^{7} x} - \frac{5 a b^{4} d^{3} x^{4}}{12 a b^{6} + 12 b^{7} x} + \frac{12 b^{5} c^{3} x^{2}}{12 a b^{6} + 12 b^{7} x} + \frac{18 b^{5} c^{2} d x^{3}}{12 a b^{6} + 12 b^{7} x} + \frac{12 b^{5} c d^{2} x^{4}}{12 a b^{6} + 12 b^{7} x} + \frac{3 b^{5} d^{3} x^{5}}{12 a b^{6} + 12 b^{7} x} & \text{for}\: n = -2 \\- \frac{a^{5} d^{3} \log{\left(\frac{a}{b} + x \right)}}{b^{6}} + \frac{3 a^{4} c d^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{5}} + \frac{a^{4} d^{3} x}{b^{5}} - \frac{3 a^{3} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{b^{4}} - \frac{3 a^{3} c d^{2} x}{b^{4}} - \frac{a^{3} d^{3} x^{2}}{2 b^{4}} + \frac{a^{2} c^{3} \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{3 a^{2} c^{2} d x}{b^{3}} + \frac{3 a^{2} c d^{2} x^{2}}{2 b^{3}} + \frac{a^{2} d^{3} x^{3}}{3 b^{3}} - \frac{a c^{3} x}{b^{2}} - \frac{3 a c^{2} d x^{2}}{2 b^{2}} - \frac{a c d^{2} x^{3}}{b^{2}} - \frac{a d^{3} x^{4}}{4 b^{2}} + \frac{c^{3} x^{2}}{2 b} + \frac{c^{2} d x^{3}}{b} + \frac{3 c d^{2} x^{4}}{4 b} + \frac{d^{3} x^{5}}{5 b} & \text{for}\: n = -1 \\- \frac{120 a^{6} d^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{72 a^{5} b c d^{2} n \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{432 a^{5} b c d^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{120 a^{5} b d^{3} n x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{18 a^{4} b^{2} c^{2} d n^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{198 a^{4} b^{2} c^{2} d n \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{540 a^{4} b^{2} c^{2} d \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{72 a^{4} b^{2} c d^{2} n^{2} x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{432 a^{4} b^{2} c d^{2} n x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{60 a^{4} b^{2} d^{3} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{60 a^{4} b^{2} d^{3} n x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{2 a^{3} b^{3} c^{3} n^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{30 a^{3} b^{3} c^{3} n^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{148 a^{3} b^{3} c^{3} n \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{240 a^{3} b^{3} c^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{18 a^{3} b^{3} c^{2} d n^{3} x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{198 a^{3} b^{3} c^{2} d n^{2} x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{540 a^{3} b^{3} c^{2} d n x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{36 a^{3} b^{3} c d^{2} n^{3} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{252 a^{3} b^{3} c d^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{216 a^{3} b^{3} c d^{2} n x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{20 a^{3} b^{3} d^{3} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{60 a^{3} b^{3} d^{3} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{40 a^{3} b^{3} d^{3} n x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{2 a^{2} b^{4} c^{3} n^{4} x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{30 a^{2} b^{4} c^{3} n^{3} x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{148 a^{2} b^{4} c^{3} n^{2} x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{240 a^{2} b^{4} c^{3} n x \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{9 a^{2} b^{4} c^{2} d n^{4} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{108 a^{2} b^{4} c^{2} d n^{3} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{369 a^{2} b^{4} c^{2} d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{270 a^{2} b^{4} c^{2} d n x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{12 a^{2} b^{4} c d^{2} n^{4} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{108 a^{2} b^{4} c d^{2} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{240 a^{2} b^{4} c d^{2} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{144 a^{2} b^{4} c d^{2} n x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{5 a^{2} b^{4} d^{3} n^{4} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{30 a^{2} b^{4} d^{3} n^{3} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{55 a^{2} b^{4} d^{3} n^{2} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} - \frac{30 a^{2} b^{4} d^{3} n x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{a b^{5} c^{3} n^{5} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{16 a b^{5} c^{3} n^{4} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{89 a b^{5} c^{3} n^{3} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{194 a b^{5} c^{3} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{120 a b^{5} c^{3} n x^{2} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{3 a b^{5} c^{2} d n^{5} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{42 a b^{5} c^{2} d n^{4} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{195 a b^{5} c^{2} d n^{3} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{336 a b^{5} c^{2} d n^{2} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{180 a b^{5} c^{2} d n x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{3 a b^{5} c d^{2} n^{5} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{36 a b^{5} c d^{2} n^{4} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{141 a b^{5} c d^{2} n^{3} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{216 a b^{5} c d^{2} n^{2} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{108 a b^{5} c d^{2} n x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{a b^{5} d^{3} n^{5} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{10 a b^{5} d^{3} n^{4} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{35 a b^{5} d^{3} n^{3} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{50 a b^{5} d^{3} n^{2} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{24 a b^{5} d^{3} n x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{b^{6} c^{3} n^{5} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{18 b^{6} c^{3} n^{4} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{121 b^{6} c^{3} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{372 b^{6} c^{3} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{508 b^{6} c^{3} n x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{240 b^{6} c^{3} x^{3} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{3 b^{6} c^{2} d n^{5} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{51 b^{6} c^{2} d n^{4} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{321 b^{6} c^{2} d n^{3} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{921 b^{6} c^{2} d n^{2} x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{1188 b^{6} c^{2} d n x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{540 b^{6} c^{2} d x^{4} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{3 b^{6} c d^{2} n^{5} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{48 b^{6} c d^{2} n^{4} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{285 b^{6} c d^{2} n^{3} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{780 b^{6} c d^{2} n^{2} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{972 b^{6} c d^{2} n x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{432 b^{6} c d^{2} x^{5} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{b^{6} d^{3} n^{5} x^{6} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{15 b^{6} d^{3} n^{4} x^{6} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{85 b^{6} d^{3} n^{3} x^{6} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{225 b^{6} d^{3} n^{2} x^{6} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{274 b^{6} d^{3} n x^{6} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} + \frac{120 b^{6} d^{3} x^{6} \left(a + b x\right)^{n}}{b^{6} n^{6} + 21 b^{6} n^{5} + 175 b^{6} n^{4} + 735 b^{6} n^{3} + 1624 b^{6} n^{2} + 1764 b^{6} n + 720 b^{6}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c**3*x**3/3 + 3*c**2*d*x**4/4 + 3*c*d**2*x**5/5 + d**3*x**6/6), Eq(b, 0)), (60*a**5*d**3*log(a/b + x)/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 137*a**5*d**3/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 36*a**4*b*c*d**2/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 300*a**4*b*d**3*x*log(a/b + x)/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 625*a**4*b*d**3*x/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 9*a**3*b**2*c**2*d/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 180*a**3*b**2*c*d**2*x/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 600*a**3*b**2*d**3*x**2*log(a/b + x)/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 1100*a**3*b**2*d**3*x**2/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 2*a**2*b**3*c**3/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 45*a**2*b**3*c**2*d*x/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 360*a**2*b**3*c*d**2*x**2/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 600*a**2*b**3*d**3*x**3*log(a/b + x)/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 900*a**2*b**3*d**3*x**3/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 10*a*b**4*c**3*x/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 90*a*b**4*c**2*d*x**2/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 360*a*b**4*c*d**2*x**3/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 300*a*b**4*d**3*x**4*log(a/b + x)/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 300*a*b**4*d**3*x**4/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 20*b**5*c**3*x**2/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 90*b**5*c**2*d*x**3/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) - 180*b**5*c*d**2*x**4/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5) + 60*b**5*d**3*x**5*log(a/b + x)/(60*a**5*b**6 + 300*a**4*b**7*x + 600*a**3*b**8*x**2 + 600*a**2*b**9*x**3 + 300*a*b**10*x**4 + 60*b**11*x**5), Eq(n, -6)), (-60*a**5*d**3*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 125*a**5*d**3/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 36*a**4*b*c*d**2*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 75*a**4*b*c*d**2/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 240*a**4*b*d**3*x*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 440*a**4*b*d**3*x/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 9*a**3*b**2*c**2*d/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 144*a**3*b**2*c*d**2*x*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 264*a**3*b**2*c*d**2*x/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 360*a**3*b**2*d**3*x**2*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 540*a**3*b**2*d**3*x**2/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - a**2*b**3*c**3/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 36*a**2*b**3*c**2*d*x/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 216*a**2*b**3*c*d**2*x**2*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 324*a**2*b**3*c*d**2*x**2/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 240*a**2*b**3*d**3*x**3*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 240*a**2*b**3*d**3*x**3/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 4*a*b**4*c**3*x/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 54*a*b**4*c**2*d*x**2/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 144*a*b**4*c*d**2*x**3*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 144*a*b**4*c*d**2*x**3/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 60*a*b**4*d**3*x**4*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 6*b**5*c**3*x**2/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) - 36*b**5*c**2*d*x**3/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 36*b**5*c*d**2*x**4*log(a/b + x)/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4) + 12*b**5*d**3*x**5/(12*a**4*b**6 + 48*a**3*b**7*x + 72*a**2*b**8*x**2 + 48*a*b**9*x**3 + 12*b**10*x**4), Eq(n, -5)), (60*a**5*d**3*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 110*a**5*d**3/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 72*a**4*b*c*d**2*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 132*a**4*b*c*d**2/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 180*a**4*b*d**3*x*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 270*a**4*b*d**3*x/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 18*a**3*b**2*c**2*d*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 33*a**3*b**2*c**2*d/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 216*a**3*b**2*c*d**2*x*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 324*a**3*b**2*c*d**2*x/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 180*a**3*b**2*d**3*x**2*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 180*a**3*b**2*d**3*x**2/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 2*a**2*b**3*c**3/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 54*a**2*b**3*c**2*d*x*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 81*a**2*b**3*c**2*d*x/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 216*a**2*b**3*c*d**2*x**2*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 216*a**2*b**3*c*d**2*x**2/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 60*a**2*b**3*d**3*x**3*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 6*a*b**4*c**3*x/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 54*a*b**4*c**2*d*x**2*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 54*a*b**4*c**2*d*x**2/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 72*a*b**4*c*d**2*x**3*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 15*a*b**4*d**3*x**4/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) - 6*b**5*c**3*x**2/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 18*b**5*c**2*d*x**3*log(a/b + x)/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 18*b**5*c*d**2*x**4/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3) + 3*b**5*d**3*x**5/(6*a**3*b**6 + 18*a**2*b**7*x + 18*a*b**8*x**2 + 6*b**9*x**3), Eq(n, -4)), (-60*a**5*d**3*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 90*a**5*d**3/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 108*a**4*b*c*d**2*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 162*a**4*b*c*d**2/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 120*a**4*b*d**3*x*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 120*a**4*b*d**3*x/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 54*a**3*b**2*c**2*d*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 81*a**3*b**2*c**2*d/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 216*a**3*b**2*c*d**2*x*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 216*a**3*b**2*c*d**2*x/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 60*a**3*b**2*d**3*x**2*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 6*a**2*b**3*c**3*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 9*a**2*b**3*c**3/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 108*a**2*b**3*c**2*d*x*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 108*a**2*b**3*c**2*d*x/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 108*a**2*b**3*c*d**2*x**2*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 20*a**2*b**3*d**3*x**3/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 12*a*b**4*c**3*x*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 12*a*b**4*c**3*x/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 54*a*b**4*c**2*d*x**2*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 36*a*b**4*c*d**2*x**3/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) - 5*a*b**4*d**3*x**4/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 6*b**5*c**3*x**2*log(a/b + x)/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 18*b**5*c**2*d*x**3/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 9*b**5*c*d**2*x**4/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2) + 2*b**5*d**3*x**5/(6*a**2*b**6 + 12*a*b**7*x + 6*b**8*x**2), Eq(n, -3)), (60*a**5*d**3*log(a/b + x)/(12*a*b**6 + 12*b**7*x) + 60*a**5*d**3/(12*a*b**6 + 12*b**7*x) - 144*a**4*b*c*d**2*log(a/b + x)/(12*a*b**6 + 12*b**7*x) - 144*a**4*b*c*d**2/(12*a*b**6 + 12*b**7*x) + 60*a**4*b*d**3*x*log(a/b + x)/(12*a*b**6 + 12*b**7*x) + 108*a**3*b**2*c**2*d*log(a/b + x)/(12*a*b**6 + 12*b**7*x) + 108*a**3*b**2*c**2*d/(12*a*b**6 + 12*b**7*x) - 144*a**3*b**2*c*d**2*x*log(a/b + x)/(12*a*b**6 + 12*b**7*x) - 30*a**3*b**2*d**3*x**2/(12*a*b**6 + 12*b**7*x) - 24*a**2*b**3*c**3*log(a/b + x)/(12*a*b**6 + 12*b**7*x) - 24*a**2*b**3*c**3/(12*a*b**6 + 12*b**7*x) + 108*a**2*b**3*c**2*d*x*log(a/b + x)/(12*a*b**6 + 12*b**7*x) + 72*a**2*b**3*c*d**2*x**2/(12*a*b**6 + 12*b**7*x) + 10*a**2*b**3*d**3*x**3/(12*a*b**6 + 12*b**7*x) - 24*a*b**4*c**3*x*log(a/b + x)/(12*a*b**6 + 12*b**7*x) - 54*a*b**4*c**2*d*x**2/(12*a*b**6 + 12*b**7*x) - 24*a*b**4*c*d**2*x**3/(12*a*b**6 + 12*b**7*x) - 5*a*b**4*d**3*x**4/(12*a*b**6 + 12*b**7*x) + 12*b**5*c**3*x**2/(12*a*b**6 + 12*b**7*x) + 18*b**5*c**2*d*x**3/(12*a*b**6 + 12*b**7*x) + 12*b**5*c*d**2*x**4/(12*a*b**6 + 12*b**7*x) + 3*b**5*d**3*x**5/(12*a*b**6 + 12*b**7*x), Eq(n, -2)), (-a**5*d**3*log(a/b + x)/b**6 + 3*a**4*c*d**2*log(a/b + x)/b**5 + a**4*d**3*x/b**5 - 3*a**3*c**2*d*log(a/b + x)/b**4 - 3*a**3*c*d**2*x/b**4 - a**3*d**3*x**2/(2*b**4) + a**2*c**3*log(a/b + x)/b**3 + 3*a**2*c**2*d*x/b**3 + 3*a**2*c*d**2*x**2/(2*b**3) + a**2*d**3*x**3/(3*b**3) - a*c**3*x/b**2 - 3*a*c**2*d*x**2/(2*b**2) - a*c*d**2*x**3/b**2 - a*d**3*x**4/(4*b**2) + c**3*x**2/(2*b) + c**2*d*x**3/b + 3*c*d**2*x**4/(4*b) + d**3*x**5/(5*b), Eq(n, -1)), (-120*a**6*d**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 72*a**5*b*c*d**2*n*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 432*a**5*b*c*d**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 120*a**5*b*d**3*n*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 18*a**4*b**2*c**2*d*n**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 198*a**4*b**2*c**2*d*n*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 540*a**4*b**2*c**2*d*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 72*a**4*b**2*c*d**2*n**2*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 432*a**4*b**2*c*d**2*n*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 60*a**4*b**2*d**3*n**2*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 60*a**4*b**2*d**3*n*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 2*a**3*b**3*c**3*n**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 30*a**3*b**3*c**3*n**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 148*a**3*b**3*c**3*n*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 240*a**3*b**3*c**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 18*a**3*b**3*c**2*d*n**3*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 198*a**3*b**3*c**2*d*n**2*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 540*a**3*b**3*c**2*d*n*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 36*a**3*b**3*c*d**2*n**3*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 252*a**3*b**3*c*d**2*n**2*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 216*a**3*b**3*c*d**2*n*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 20*a**3*b**3*d**3*n**3*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 60*a**3*b**3*d**3*n**2*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 40*a**3*b**3*d**3*n*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 2*a**2*b**4*c**3*n**4*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 30*a**2*b**4*c**3*n**3*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 148*a**2*b**4*c**3*n**2*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 240*a**2*b**4*c**3*n*x*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 9*a**2*b**4*c**2*d*n**4*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 108*a**2*b**4*c**2*d*n**3*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 369*a**2*b**4*c**2*d*n**2*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 270*a**2*b**4*c**2*d*n*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 12*a**2*b**4*c*d**2*n**4*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 108*a**2*b**4*c*d**2*n**3*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 240*a**2*b**4*c*d**2*n**2*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 144*a**2*b**4*c*d**2*n*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 5*a**2*b**4*d**3*n**4*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 30*a**2*b**4*d**3*n**3*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 55*a**2*b**4*d**3*n**2*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) - 30*a**2*b**4*d**3*n*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + a*b**5*c**3*n**5*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 16*a*b**5*c**3*n**4*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 89*a*b**5*c**3*n**3*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 194*a*b**5*c**3*n**2*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 120*a*b**5*c**3*n*x**2*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 3*a*b**5*c**2*d*n**5*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 42*a*b**5*c**2*d*n**4*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 195*a*b**5*c**2*d*n**3*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 336*a*b**5*c**2*d*n**2*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 180*a*b**5*c**2*d*n*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 3*a*b**5*c*d**2*n**5*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 36*a*b**5*c*d**2*n**4*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 141*a*b**5*c*d**2*n**3*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 216*a*b**5*c*d**2*n**2*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 108*a*b**5*c*d**2*n*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + a*b**5*d**3*n**5*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 10*a*b**5*d**3*n**4*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 35*a*b**5*d**3*n**3*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 50*a*b**5*d**3*n**2*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 24*a*b**5*d**3*n*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + b**6*c**3*n**5*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 18*b**6*c**3*n**4*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 121*b**6*c**3*n**3*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 372*b**6*c**3*n**2*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 508*b**6*c**3*n*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 240*b**6*c**3*x**3*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 3*b**6*c**2*d*n**5*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 51*b**6*c**2*d*n**4*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 321*b**6*c**2*d*n**3*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 921*b**6*c**2*d*n**2*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 1188*b**6*c**2*d*n*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 540*b**6*c**2*d*x**4*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 3*b**6*c*d**2*n**5*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 48*b**6*c*d**2*n**4*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 285*b**6*c*d**2*n**3*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 780*b**6*c*d**2*n**2*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 972*b**6*c*d**2*n*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 432*b**6*c*d**2*x**5*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + b**6*d**3*n**5*x**6*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 15*b**6*d**3*n**4*x**6*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 85*b**6*d**3*n**3*x**6*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 225*b**6*d**3*n**2*x**6*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 274*b**6*d**3*n*x**6*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6) + 120*b**6*d**3*x**6*(a + b*x)**n/(b**6*n**6 + 21*b**6*n**5 + 175*b**6*n**4 + 735*b**6*n**3 + 1624*b**6*n**2 + 1764*b**6*n + 720*b**6), True))","A",0
931,1,7803,0,8.425870," ","integrate(x*(b*x+a)**n*(d*x+c)**3,x)","\begin{cases} a^{n} \left(\frac{c^{3} x^{2}}{2} + c^{2} d x^{3} + \frac{3 c d^{2} x^{4}}{4} + \frac{d^{3} x^{5}}{5}\right) & \text{for}\: b = 0 \\\frac{12 a^{4} d^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{25 a^{4} d^{3}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{9 a^{3} b c d^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{48 a^{3} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{88 a^{3} b d^{3} x}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{3 a^{2} b^{2} c^{2} d}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{36 a^{2} b^{2} c d^{2} x}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{72 a^{2} b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{108 a^{2} b^{2} d^{3} x^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{a b^{3} c^{3}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{12 a b^{3} c^{2} d x}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{54 a b^{3} c d^{2} x^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{48 a b^{3} d^{3} x^{3} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{48 a b^{3} d^{3} x^{3}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{4 b^{4} c^{3} x}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{18 b^{4} c^{2} d x^{2}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} - \frac{36 b^{4} c d^{2} x^{3}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} + \frac{12 b^{4} d^{3} x^{4} \log{\left(\frac{a}{b} + x \right)}}{12 a^{4} b^{5} + 48 a^{3} b^{6} x + 72 a^{2} b^{7} x^{2} + 48 a b^{8} x^{3} + 12 b^{9} x^{4}} & \text{for}\: n = -5 \\- \frac{24 a^{4} d^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{44 a^{4} d^{3}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{18 a^{3} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{33 a^{3} b c d^{2}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{72 a^{3} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{108 a^{3} b d^{3} x}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{6 a^{2} b^{2} c^{2} d}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{54 a^{2} b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{81 a^{2} b^{2} c d^{2} x}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{72 a^{2} b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{72 a^{2} b^{2} d^{3} x^{2}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{a b^{3} c^{3}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{18 a b^{3} c^{2} d x}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{54 a b^{3} c d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{54 a b^{3} c d^{2} x^{2}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{24 a b^{3} d^{3} x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{3 b^{4} c^{3} x}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} - \frac{18 b^{4} c^{2} d x^{2}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{18 b^{4} c d^{2} x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} + \frac{6 b^{4} d^{3} x^{4}}{6 a^{3} b^{5} + 18 a^{2} b^{6} x + 18 a b^{7} x^{2} + 6 b^{8} x^{3}} & \text{for}\: n = -4 \\\frac{12 a^{4} d^{3} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{18 a^{4} d^{3}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{18 a^{3} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{27 a^{3} b c d^{2}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{24 a^{3} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{24 a^{3} b d^{3} x}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{6 a^{2} b^{2} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{9 a^{2} b^{2} c^{2} d}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{36 a^{2} b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{36 a^{2} b^{2} c d^{2} x}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{12 a^{2} b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{a b^{3} c^{3}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{12 a b^{3} c^{2} d x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{12 a b^{3} c^{2} d x}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{18 a b^{3} c d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{4 a b^{3} d^{3} x^{3}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} - \frac{2 b^{4} c^{3} x}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{6 b^{4} c^{2} d x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{6 b^{4} c d^{2} x^{3}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{b^{4} d^{3} x^{4}}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} & \text{for}\: n = -3 \\- \frac{24 a^{4} d^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} - \frac{24 a^{4} d^{3}}{6 a b^{5} + 6 b^{6} x} + \frac{54 a^{3} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} + \frac{54 a^{3} b c d^{2}}{6 a b^{5} + 6 b^{6} x} - \frac{24 a^{3} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} - \frac{36 a^{2} b^{2} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} - \frac{36 a^{2} b^{2} c^{2} d}{6 a b^{5} + 6 b^{6} x} + \frac{54 a^{2} b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} + \frac{12 a^{2} b^{2} d^{3} x^{2}}{6 a b^{5} + 6 b^{6} x} + \frac{6 a b^{3} c^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} + \frac{6 a b^{3} c^{3}}{6 a b^{5} + 6 b^{6} x} - \frac{36 a b^{3} c^{2} d x \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} - \frac{27 a b^{3} c d^{2} x^{2}}{6 a b^{5} + 6 b^{6} x} - \frac{4 a b^{3} d^{3} x^{3}}{6 a b^{5} + 6 b^{6} x} + \frac{6 b^{4} c^{3} x \log{\left(\frac{a}{b} + x \right)}}{6 a b^{5} + 6 b^{6} x} + \frac{18 b^{4} c^{2} d x^{2}}{6 a b^{5} + 6 b^{6} x} + \frac{9 b^{4} c d^{2} x^{3}}{6 a b^{5} + 6 b^{6} x} + \frac{2 b^{4} d^{3} x^{4}}{6 a b^{5} + 6 b^{6} x} & \text{for}\: n = -2 \\\frac{a^{4} d^{3} \log{\left(\frac{a}{b} + x \right)}}{b^{5}} - \frac{3 a^{3} c d^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{4}} - \frac{a^{3} d^{3} x}{b^{4}} + \frac{3 a^{2} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{3 a^{2} c d^{2} x}{b^{3}} + \frac{a^{2} d^{3} x^{2}}{2 b^{3}} - \frac{a c^{3} \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{3 a c^{2} d x}{b^{2}} - \frac{3 a c d^{2} x^{2}}{2 b^{2}} - \frac{a d^{3} x^{3}}{3 b^{2}} + \frac{c^{3} x}{b} + \frac{3 c^{2} d x^{2}}{2 b} + \frac{c d^{2} x^{3}}{b} + \frac{d^{3} x^{4}}{4 b} & \text{for}\: n = -1 \\\frac{24 a^{5} d^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{18 a^{4} b c d^{2} n \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{90 a^{4} b c d^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{24 a^{4} b d^{3} n x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{6 a^{3} b^{2} c^{2} d n^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{54 a^{3} b^{2} c^{2} d n \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{120 a^{3} b^{2} c^{2} d \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{18 a^{3} b^{2} c d^{2} n^{2} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{90 a^{3} b^{2} c d^{2} n x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 a^{3} b^{2} d^{3} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 a^{3} b^{2} d^{3} n x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{a^{2} b^{3} c^{3} n^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{12 a^{2} b^{3} c^{3} n^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{47 a^{2} b^{3} c^{3} n \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{60 a^{2} b^{3} c^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{6 a^{2} b^{3} c^{2} d n^{3} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{54 a^{2} b^{3} c^{2} d n^{2} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{120 a^{2} b^{3} c^{2} d n x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{9 a^{2} b^{3} c d^{2} n^{3} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{54 a^{2} b^{3} c d^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{45 a^{2} b^{3} c d^{2} n x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{4 a^{2} b^{3} d^{3} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{12 a^{2} b^{3} d^{3} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{8 a^{2} b^{3} d^{3} n x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{a b^{4} c^{3} n^{4} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 a b^{4} c^{3} n^{3} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{47 a b^{4} c^{3} n^{2} x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{60 a b^{4} c^{3} n x \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{3 a b^{4} c^{2} d n^{4} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{30 a b^{4} c^{2} d n^{3} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{87 a b^{4} c^{2} d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{60 a b^{4} c^{2} d n x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{3 a b^{4} c d^{2} n^{4} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{24 a b^{4} c d^{2} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{51 a b^{4} c d^{2} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{30 a b^{4} c d^{2} n x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{a b^{4} d^{3} n^{4} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{6 a b^{4} d^{3} n^{3} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{11 a b^{4} d^{3} n^{2} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{6 a b^{4} d^{3} n x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{b^{5} c^{3} n^{4} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{13 b^{5} c^{3} n^{3} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{59 b^{5} c^{3} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{107 b^{5} c^{3} n x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{60 b^{5} c^{3} x^{2} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{3 b^{5} c^{2} d n^{4} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{36 b^{5} c^{2} d n^{3} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{147 b^{5} c^{2} d n^{2} x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{234 b^{5} c^{2} d n x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{120 b^{5} c^{2} d x^{3} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{3 b^{5} c d^{2} n^{4} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{33 b^{5} c d^{2} n^{3} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{123 b^{5} c d^{2} n^{2} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{183 b^{5} c d^{2} n x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{90 b^{5} c d^{2} x^{4} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{b^{5} d^{3} n^{4} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{10 b^{5} d^{3} n^{3} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{35 b^{5} d^{3} n^{2} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{50 b^{5} d^{3} n x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{24 b^{5} d^{3} x^{5} \left(a + b x\right)^{n}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c**3*x**2/2 + c**2*d*x**3 + 3*c*d**2*x**4/4 + d**3*x**5/5), Eq(b, 0)), (12*a**4*d**3*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 25*a**4*d**3/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 9*a**3*b*c*d**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 48*a**3*b*d**3*x*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 88*a**3*b*d**3*x/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 3*a**2*b**2*c**2*d/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 36*a**2*b**2*c*d**2*x/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 72*a**2*b**2*d**3*x**2*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 108*a**2*b**2*d**3*x**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - a*b**3*c**3/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 12*a*b**3*c**2*d*x/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 54*a*b**3*c*d**2*x**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 48*a*b**3*d**3*x**3*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 48*a*b**3*d**3*x**3/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 4*b**4*c**3*x/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 18*b**4*c**2*d*x**2/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) - 36*b**4*c*d**2*x**3/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4) + 12*b**4*d**3*x**4*log(a/b + x)/(12*a**4*b**5 + 48*a**3*b**6*x + 72*a**2*b**7*x**2 + 48*a*b**8*x**3 + 12*b**9*x**4), Eq(n, -5)), (-24*a**4*d**3*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 44*a**4*d**3/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 18*a**3*b*c*d**2*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 33*a**3*b*c*d**2/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 72*a**3*b*d**3*x*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 108*a**3*b*d**3*x/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 6*a**2*b**2*c**2*d/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 54*a**2*b**2*c*d**2*x*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 81*a**2*b**2*c*d**2*x/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 72*a**2*b**2*d**3*x**2*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 72*a**2*b**2*d**3*x**2/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - a*b**3*c**3/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 18*a*b**3*c**2*d*x/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 54*a*b**3*c*d**2*x**2*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 54*a*b**3*c*d**2*x**2/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 24*a*b**3*d**3*x**3*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 3*b**4*c**3*x/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) - 18*b**4*c**2*d*x**2/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 18*b**4*c*d**2*x**3*log(a/b + x)/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3) + 6*b**4*d**3*x**4/(6*a**3*b**5 + 18*a**2*b**6*x + 18*a*b**7*x**2 + 6*b**8*x**3), Eq(n, -4)), (12*a**4*d**3*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 18*a**4*d**3/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 18*a**3*b*c*d**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 27*a**3*b*c*d**2/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 24*a**3*b*d**3*x*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 24*a**3*b*d**3*x/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 6*a**2*b**2*c**2*d*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 9*a**2*b**2*c**2*d/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 36*a**2*b**2*c*d**2*x*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 36*a**2*b**2*c*d**2*x/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 12*a**2*b**2*d**3*x**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - a*b**3*c**3/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 12*a*b**3*c**2*d*x*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 12*a*b**3*c**2*d*x/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 18*a*b**3*c*d**2*x**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 4*a*b**3*d**3*x**3/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) - 2*b**4*c**3*x/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 6*b**4*c**2*d*x**2*log(a/b + x)/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 6*b**4*c*d**2*x**3/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + b**4*d**3*x**4/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2), Eq(n, -3)), (-24*a**4*d**3*log(a/b + x)/(6*a*b**5 + 6*b**6*x) - 24*a**4*d**3/(6*a*b**5 + 6*b**6*x) + 54*a**3*b*c*d**2*log(a/b + x)/(6*a*b**5 + 6*b**6*x) + 54*a**3*b*c*d**2/(6*a*b**5 + 6*b**6*x) - 24*a**3*b*d**3*x*log(a/b + x)/(6*a*b**5 + 6*b**6*x) - 36*a**2*b**2*c**2*d*log(a/b + x)/(6*a*b**5 + 6*b**6*x) - 36*a**2*b**2*c**2*d/(6*a*b**5 + 6*b**6*x) + 54*a**2*b**2*c*d**2*x*log(a/b + x)/(6*a*b**5 + 6*b**6*x) + 12*a**2*b**2*d**3*x**2/(6*a*b**5 + 6*b**6*x) + 6*a*b**3*c**3*log(a/b + x)/(6*a*b**5 + 6*b**6*x) + 6*a*b**3*c**3/(6*a*b**5 + 6*b**6*x) - 36*a*b**3*c**2*d*x*log(a/b + x)/(6*a*b**5 + 6*b**6*x) - 27*a*b**3*c*d**2*x**2/(6*a*b**5 + 6*b**6*x) - 4*a*b**3*d**3*x**3/(6*a*b**5 + 6*b**6*x) + 6*b**4*c**3*x*log(a/b + x)/(6*a*b**5 + 6*b**6*x) + 18*b**4*c**2*d*x**2/(6*a*b**5 + 6*b**6*x) + 9*b**4*c*d**2*x**3/(6*a*b**5 + 6*b**6*x) + 2*b**4*d**3*x**4/(6*a*b**5 + 6*b**6*x), Eq(n, -2)), (a**4*d**3*log(a/b + x)/b**5 - 3*a**3*c*d**2*log(a/b + x)/b**4 - a**3*d**3*x/b**4 + 3*a**2*c**2*d*log(a/b + x)/b**3 + 3*a**2*c*d**2*x/b**3 + a**2*d**3*x**2/(2*b**3) - a*c**3*log(a/b + x)/b**2 - 3*a*c**2*d*x/b**2 - 3*a*c*d**2*x**2/(2*b**2) - a*d**3*x**3/(3*b**2) + c**3*x/b + 3*c**2*d*x**2/(2*b) + c*d**2*x**3/b + d**3*x**4/(4*b), Eq(n, -1)), (24*a**5*d**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 18*a**4*b*c*d**2*n*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 90*a**4*b*c*d**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 24*a**4*b*d**3*n*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 6*a**3*b**2*c**2*d*n**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 54*a**3*b**2*c**2*d*n*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 120*a**3*b**2*c**2*d*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 18*a**3*b**2*c*d**2*n**2*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 90*a**3*b**2*c*d**2*n*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*a**3*b**2*d**3*n**2*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*a**3*b**2*d**3*n*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - a**2*b**3*c**3*n**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 12*a**2*b**3*c**3*n**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 47*a**2*b**3*c**3*n*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 60*a**2*b**3*c**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 6*a**2*b**3*c**2*d*n**3*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 54*a**2*b**3*c**2*d*n**2*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 120*a**2*b**3*c**2*d*n*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 9*a**2*b**3*c*d**2*n**3*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 54*a**2*b**3*c*d**2*n**2*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 45*a**2*b**3*c*d**2*n*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 4*a**2*b**3*d**3*n**3*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 12*a**2*b**3*d**3*n**2*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 8*a**2*b**3*d**3*n*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + a*b**4*c**3*n**4*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*a*b**4*c**3*n**3*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 47*a*b**4*c**3*n**2*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 60*a*b**4*c**3*n*x*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 3*a*b**4*c**2*d*n**4*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 30*a*b**4*c**2*d*n**3*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 87*a*b**4*c**2*d*n**2*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 60*a*b**4*c**2*d*n*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 3*a*b**4*c*d**2*n**4*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 24*a*b**4*c*d**2*n**3*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 51*a*b**4*c*d**2*n**2*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 30*a*b**4*c*d**2*n*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + a*b**4*d**3*n**4*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 6*a*b**4*d**3*n**3*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 11*a*b**4*d**3*n**2*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 6*a*b**4*d**3*n*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + b**5*c**3*n**4*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 13*b**5*c**3*n**3*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 59*b**5*c**3*n**2*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 107*b**5*c**3*n*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 60*b**5*c**3*x**2*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 3*b**5*c**2*d*n**4*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 36*b**5*c**2*d*n**3*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 147*b**5*c**2*d*n**2*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 234*b**5*c**2*d*n*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 120*b**5*c**2*d*x**3*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 3*b**5*c*d**2*n**4*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 33*b**5*c*d**2*n**3*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 123*b**5*c*d**2*n**2*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 183*b**5*c*d**2*n*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 90*b**5*c*d**2*x**4*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + b**5*d**3*n**4*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 10*b**5*d**3*n**3*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 35*b**5*d**3*n**2*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 50*b**5*d**3*n*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 24*b**5*d**3*x**5*(a + b*x)**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5), True))","A",0
932,1,4058,0,4.886788," ","integrate((b*x+a)**n*(d*x+c)**3,x)","\begin{cases} a^{n} \left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) & \text{for}\: b = 0 \\\frac{6 a^{3} d^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{11 a^{3} d^{3}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 a^{2} b c d^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a^{2} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{27 a^{2} b d^{3} x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{3 a b^{2} c^{2} d}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{18 a b^{2} c d^{2} x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d^{3} x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{2 b^{3} c^{3}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{9 b^{3} c^{2} d x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{18 b^{3} c d^{2} x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{6 b^{3} d^{3} x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} & \text{for}\: n = -4 \\- \frac{6 a^{3} d^{3} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{9 a^{3} d^{3}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{6 a^{2} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{9 a^{2} b c d^{2}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d^{3} x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{3 a b^{2} c^{2} d}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{12 a b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{12 a b^{2} c d^{2} x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{6 a b^{2} d^{3} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{b^{3} c^{3}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{6 b^{3} c^{2} d x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{6 b^{3} c d^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} d^{3} x^{3}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} & \text{for}\: n = -3 \\\frac{6 a^{3} d^{3} \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{3} d^{3}}{2 a b^{4} + 2 b^{5} x} - \frac{12 a^{2} b c d^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{12 a^{2} b c d^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{2} b d^{3} x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{6 a b^{2} c^{2} d \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{6 a b^{2} c^{2} d}{2 a b^{4} + 2 b^{5} x} - \frac{12 a b^{2} c d^{2} x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{3 a b^{2} d^{3} x^{2}}{2 a b^{4} + 2 b^{5} x} - \frac{2 b^{3} c^{3}}{2 a b^{4} + 2 b^{5} x} + \frac{6 b^{3} c^{2} d x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{6 b^{3} c d^{2} x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{b^{3} d^{3} x^{3}}{2 a b^{4} + 2 b^{5} x} & \text{for}\: n = -2 \\- \frac{a^{3} d^{3} \log{\left(\frac{a}{b} + x \right)}}{b^{4}} + \frac{3 a^{2} c d^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{a^{2} d^{3} x}{b^{3}} - \frac{3 a c^{2} d \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{3 a c d^{2} x}{b^{2}} - \frac{a d^{3} x^{2}}{2 b^{2}} + \frac{c^{3} \log{\left(\frac{a}{b} + x \right)}}{b} + \frac{3 c^{2} d x}{b} + \frac{3 c d^{2} x^{2}}{2 b} + \frac{d^{3} x^{3}}{3 b} & \text{for}\: n = -1 \\- \frac{6 a^{4} d^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 a^{3} b c d^{2} n \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{24 a^{3} b c d^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 a^{3} b d^{3} n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 a^{2} b^{2} c^{2} d n^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{21 a^{2} b^{2} c^{2} d n \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{36 a^{2} b^{2} c^{2} d \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{6 a^{2} b^{2} c d^{2} n^{2} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{24 a^{2} b^{2} c d^{2} n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 a^{2} b^{2} d^{3} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 a^{2} b^{2} d^{3} n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{a b^{3} c^{3} n^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{9 a b^{3} c^{3} n^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{26 a b^{3} c^{3} n \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{24 a b^{3} c^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{3 a b^{3} c^{2} d n^{3} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{21 a b^{3} c^{2} d n^{2} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{36 a b^{3} c^{2} d n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{3 a b^{3} c d^{2} n^{3} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{15 a b^{3} c d^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{12 a b^{3} c d^{2} n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{a b^{3} d^{3} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{3 a b^{3} d^{3} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{2 a b^{3} d^{3} n x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{b^{4} c^{3} n^{3} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{9 b^{4} c^{3} n^{2} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{26 b^{4} c^{3} n x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{24 b^{4} c^{3} x \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{3 b^{4} c^{2} d n^{3} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{24 b^{4} c^{2} d n^{2} x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{57 b^{4} c^{2} d n x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{36 b^{4} c^{2} d x^{2} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{3 b^{4} c d^{2} n^{3} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{21 b^{4} c d^{2} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{42 b^{4} c d^{2} n x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{24 b^{4} c d^{2} x^{3} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{b^{4} d^{3} n^{3} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 b^{4} d^{3} n^{2} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{11 b^{4} d^{3} n x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 b^{4} d^{3} x^{4} \left(a + b x\right)^{n}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**n*(c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4), Eq(b, 0)), (6*a**3*d**3*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 11*a**3*d**3/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*a**2*b*c*d**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a**2*b*d**3*x*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 27*a**2*b*d**3*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 3*a*b**2*c**2*d/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 18*a*b**2*c*d**2*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d**3*x**2*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d**3*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 2*b**3*c**3/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 9*b**3*c**2*d*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 18*b**3*c*d**2*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 6*b**3*d**3*x**3*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3), Eq(n, -4)), (-6*a**3*d**3*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 9*a**3*d**3/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 6*a**2*b*c*d**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 9*a**2*b*c*d**2/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d**3*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d**3*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 3*a*b**2*c**2*d/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 12*a*b**2*c*d**2*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 12*a*b**2*c*d**2*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 6*a*b**2*d**3*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - b**3*c**3/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 6*b**3*c**2*d*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 6*b**3*c*d**2*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*d**3*x**3/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2), Eq(n, -3)), (6*a**3*d**3*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 6*a**3*d**3/(2*a*b**4 + 2*b**5*x) - 12*a**2*b*c*d**2*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 12*a**2*b*c*d**2/(2*a*b**4 + 2*b**5*x) + 6*a**2*b*d**3*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 6*a*b**2*c**2*d*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 6*a*b**2*c**2*d/(2*a*b**4 + 2*b**5*x) - 12*a*b**2*c*d**2*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 3*a*b**2*d**3*x**2/(2*a*b**4 + 2*b**5*x) - 2*b**3*c**3/(2*a*b**4 + 2*b**5*x) + 6*b**3*c**2*d*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 6*b**3*c*d**2*x**2/(2*a*b**4 + 2*b**5*x) + b**3*d**3*x**3/(2*a*b**4 + 2*b**5*x), Eq(n, -2)), (-a**3*d**3*log(a/b + x)/b**4 + 3*a**2*c*d**2*log(a/b + x)/b**3 + a**2*d**3*x/b**3 - 3*a*c**2*d*log(a/b + x)/b**2 - 3*a*c*d**2*x/b**2 - a*d**3*x**2/(2*b**2) + c**3*log(a/b + x)/b + 3*c**2*d*x/b + 3*c*d**2*x**2/(2*b) + d**3*x**3/(3*b), Eq(n, -1)), (-6*a**4*d**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*a**3*b*c*d**2*n*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 24*a**3*b*c*d**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*a**3*b*d**3*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*a**2*b**2*c**2*d*n**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 21*a**2*b**2*c**2*d*n*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 36*a**2*b**2*c**2*d*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 6*a**2*b**2*c*d**2*n**2*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 24*a**2*b**2*c*d**2*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*a**2*b**2*d**3*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*a**2*b**2*d**3*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + a*b**3*c**3*n**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 9*a*b**3*c**3*n**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 26*a*b**3*c**3*n*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 24*a*b**3*c**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 3*a*b**3*c**2*d*n**3*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 21*a*b**3*c**2*d*n**2*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 36*a*b**3*c**2*d*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 3*a*b**3*c*d**2*n**3*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 15*a*b**3*c*d**2*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 12*a*b**3*c*d**2*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + a*b**3*d**3*n**3*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 3*a*b**3*d**3*n**2*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 2*a*b**3*d**3*n*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + b**4*c**3*n**3*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 9*b**4*c**3*n**2*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 26*b**4*c**3*n*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 24*b**4*c**3*x*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 3*b**4*c**2*d*n**3*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 24*b**4*c**2*d*n**2*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 57*b**4*c**2*d*n*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 36*b**4*c**2*d*x**2*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 3*b**4*c*d**2*n**3*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 21*b**4*c*d**2*n**2*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 42*b**4*c*d**2*n*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 24*b**4*c*d**2*x**3*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + b**4*d**3*n**3*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*b**4*d**3*n**2*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 11*b**4*d**3*n*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*b**4*d**3*x**4*(a + b*x)**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4), True))","A",0
933,1,993,0,10.030096," ","integrate((b*x+a)**n*(d*x+c)**3/x,x)","- \frac{b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{b^{n} c^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + 3 c^{2} d \left(\begin{cases} a^{n} x & \text{for}\: b = 0 \\\frac{\begin{cases} \frac{\left(a + b x\right)^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(a + b x \right)} & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) + 3 c d^{2} \left(\begin{cases} \frac{a^{n} x^{2}}{2} & \text{for}\: b = 0 \\\frac{a \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} + \frac{a}{a b^{2} + b^{3} x} + \frac{b x \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} & \text{for}\: n = -2 \\- \frac{a \log{\left(\frac{a}{b} + x \right)}}{b^{2}} + \frac{x}{b} & \text{for}\: n = -1 \\- \frac{a^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{a b n x \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} n x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} & \text{otherwise} \end{cases}\right) + d^{3} \left(\begin{cases} \frac{a^{n} x^{3}}{3} & \text{for}\: b = 0 \\\frac{2 a^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{3 a^{2}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{4 a b x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{4 a b x}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} + \frac{2 b^{2} x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}} & \text{for}\: n = -3 \\- \frac{2 a^{2} \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} - \frac{2 a^{2}}{a b^{3} + b^{4} x} - \frac{2 a b x \log{\left(\frac{a}{b} + x \right)}}{a b^{3} + b^{4} x} + \frac{b^{2} x^{2}}{a b^{3} + b^{4} x} & \text{for}\: n = -2 \\\frac{a^{2} \log{\left(\frac{a}{b} + x \right)}}{b^{3}} - \frac{a x}{b^{2}} + \frac{x^{2}}{2 b} & \text{for}\: n = -1 \\\frac{2 a^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{2 a^{2} b n x \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} n^{2} x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{a b^{2} n x^{2} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{b^{3} n^{2} x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{3 b^{3} n x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{2 b^{3} x^{3} \left(a + b x\right)^{n}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} & \text{otherwise} \end{cases}\right) - \frac{b b^{n} c^{3} n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c^{3} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)}"," ",0,"-b**n*c**3*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - b**n*c**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + 3*c**2*d*Piecewise((a**n*x, Eq(b, 0)), (Piecewise(((a + b*x)**(n + 1)/(n + 1), Ne(n, -1)), (log(a + b*x), True))/b, True)) + 3*c*d**2*Piecewise((a**n*x**2/2, Eq(b, 0)), (a*log(a/b + x)/(a*b**2 + b**3*x) + a/(a*b**2 + b**3*x) + b*x*log(a/b + x)/(a*b**2 + b**3*x), Eq(n, -2)), (-a*log(a/b + x)/b**2 + x/b, Eq(n, -1)), (-a**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + a*b*n*x*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*n*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2), True)) + d**3*Piecewise((a**n*x**3/3, Eq(b, 0)), (2*a**2*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 3*a**2/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 4*a*b*x*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 4*a*b*x/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2) + 2*b**2*x**2*log(a/b + x)/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2), Eq(n, -3)), (-2*a**2*log(a/b + x)/(a*b**3 + b**4*x) - 2*a**2/(a*b**3 + b**4*x) - 2*a*b*x*log(a/b + x)/(a*b**3 + b**4*x) + b**2*x**2/(a*b**3 + b**4*x), Eq(n, -2)), (a**2*log(a/b + x)/b**3 - a*x/b**2 + x**2/(2*b), Eq(n, -1)), (2*a**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 2*a**2*b*n*x*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*n**2*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + a*b**2*n*x**2*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + b**3*n**2*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 3*b**3*n*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 2*b**3*x**3*(a + b*x)**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3), True)) - b*b**n*c**3*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c**3*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2))","B",0
934,1,770,0,7.173896," ","integrate((b*x+a)**n*(d*x+c)**3/x**2,x)","\frac{b^{n} c^{3} n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} + \frac{b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{b^{n} c^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{3 b^{n} c^{2} d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{3 b^{n} c^{2} d \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + 3 c d^{2} \left(\begin{cases} a^{n} x & \text{for}\: b = 0 \\\frac{\begin{cases} \frac{\left(a + b x\right)^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(a + b x \right)} & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) + d^{3} \left(\begin{cases} \frac{a^{n} x^{2}}{2} & \text{for}\: b = 0 \\\frac{a \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} + \frac{a}{a b^{2} + b^{3} x} + \frac{b x \log{\left(\frac{a}{b} + x \right)}}{a b^{2} + b^{3} x} & \text{for}\: n = -2 \\- \frac{a \log{\left(\frac{a}{b} + x \right)}}{b^{2}} + \frac{x}{b} & \text{for}\: n = -1 \\- \frac{a^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{a b n x \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} n x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{b^{2} x^{2} \left(a + b x\right)^{n}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} & \text{otherwise} \end{cases}\right) + \frac{b b^{n} c^{3} n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} + \frac{b b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b b^{n} c^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{3 b b^{n} c^{2} d n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{3 b b^{n} c^{2} d x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} c^{3} n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)} - \frac{b^{2} b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)}"," ",0,"b**n*c**3*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) + b**n*c**3*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) - b**n*c**3*n*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - b**n*c**3*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - 3*b**n*c**2*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - 3*b**n*c**2*d*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + 3*c*d**2*Piecewise((a**n*x, Eq(b, 0)), (Piecewise(((a + b*x)**(n + 1)/(n + 1), Ne(n, -1)), (log(a + b*x), True))/b, True)) + d**3*Piecewise((a**n*x**2/2, Eq(b, 0)), (a*log(a/b + x)/(a*b**2 + b**3*x) + a/(a*b**2 + b**3*x) + b*x*log(a/b + x)/(a*b**2 + b**3*x), Eq(n, -2)), (-a*log(a/b + x)/b**2 + x/b, Eq(n, -1)), (-a**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + a*b*n*x*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*n*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + b**2*x**2*(a + b*x)**n/(b**2*n**2 + 3*b**2*n + 2*b**2), True)) + b*b**n*c**3*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) + b*b**n*c**3*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c**3*n*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - b*b**n*c**3*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - 3*b*b**n*c**2*d*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - 3*b*b**n*c**2*d*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - b**2*b**n*c**3*n**2*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2)) - b**2*b**n*c**3*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2))","A",0
935,1,1868,0,8.732839," ","integrate((b*x+a)**n*(d*x+c)**3/x**3,x)","- \frac{a^{3} b^{2} b^{n} c^{3} n^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{3} b^{2} b^{n} c^{3} n^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{3} b^{2} b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a^{3} b^{2} b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a^{3} b^{2} b^{n} c^{3} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a^{2} b^{3} b^{n} c^{3} n^{3} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{2} b^{3} b^{n} c^{3} n^{2} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a^{2} b^{3} b^{n} c^{3} n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a^{2} b^{3} b^{n} c^{3} n x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a^{2} b^{3} b^{n} c^{3} x \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{2 a b^{4} b^{n} c^{3} n^{3} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{a b^{4} b^{n} c^{3} n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{2 a b^{4} b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{a b^{4} b^{n} c^{3} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} - \frac{b^{5} b^{n} c^{3} n^{3} \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{b^{5} b^{n} c^{3} n \left(\frac{a}{b} + x\right)^{3} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{- 2 a^{5} \Gamma\left(n + 2\right) - 4 a^{4} b x \Gamma\left(n + 2\right) + 2 a^{3} b^{2} \left(\frac{a}{b} + x\right)^{2} \Gamma\left(n + 2\right)} + \frac{3 b^{n} c^{2} d n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} + \frac{3 b^{n} c^{2} d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{3 b^{n} c^{2} d n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{3 b^{n} c^{2} d \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{x \Gamma\left(n + 2\right)} - \frac{3 b^{n} c d^{2} n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} - \frac{3 b^{n} c d^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{\Gamma\left(n + 2\right)} + d^{3} \left(\begin{cases} a^{n} x & \text{for}\: b = 0 \\\frac{\begin{cases} \frac{\left(a + b x\right)^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(a + b x \right)} & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) + \frac{3 b b^{n} c^{2} d n^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} + \frac{3 b b^{n} c^{2} d n \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{3 b b^{n} c^{2} d n \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{3 b b^{n} c^{2} d \left(\frac{a}{b} + x\right)^{n} \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{3 b b^{n} c d^{2} n x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{3 b b^{n} c d^{2} x \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a \Gamma\left(n + 2\right)} - \frac{3 b^{2} b^{n} c^{2} d n^{2} \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)} - \frac{3 b^{2} b^{n} c^{2} d n \left(\frac{a}{b} + x\right)^{2} \left(\frac{a}{b} + x\right)^{n} \Phi\left(1 + \frac{b x}{a}, 1, n + 1\right) \Gamma\left(n + 1\right)}{a^{2} x \Gamma\left(n + 2\right)}"," ",0,"-a**3*b**2*b**n*c**3*n**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**3*b**2*b**n*c**3*n**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**3*b**2*b**n*c**3*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a**3*b**2*b**n*c**3*n*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a**3*b**2*b**n*c**3*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a**2*b**3*b**n*c**3*n**3*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**2*b**3*b**n*c**3*n**2*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a**2*b**3*b**n*c**3*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a**2*b**3*b**n*c**3*n*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a**2*b**3*b**n*c**3*x*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 2*a*b**4*b**n*c**3*n**3*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - a*b**4*b**n*c**3*n**2*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - 2*a*b**4*b**n*c**3*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + a*b**4*b**n*c**3*(a/b + x)**2*(a/b + x)**n*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) - b**5*b**n*c**3*n**3*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + b**5*b**n*c**3*n*(a/b + x)**3*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(-2*a**5*gamma(n + 2) - 4*a**4*b*x*gamma(n + 2) + 2*a**3*b**2*(a/b + x)**2*gamma(n + 2)) + 3*b**n*c**2*d*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) + 3*b**n*c**2*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(x*gamma(n + 2)) - 3*b**n*c**2*d*n*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - 3*b**n*c**2*d*(a/b + x)**n*gamma(n + 1)/(x*gamma(n + 2)) - 3*b**n*c*d**2*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) - 3*b**n*c*d**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/gamma(n + 2) + d**3*Piecewise((a**n*x, Eq(b, 0)), (Piecewise(((a + b*x)**(n + 1)/(n + 1), Ne(n, -1)), (log(a + b*x), True))/b, True)) + 3*b*b**n*c**2*d*n**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) + 3*b*b**n*c**2*d*n*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - 3*b*b**n*c**2*d*n*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - 3*b*b**n*c**2*d*(a/b + x)**n*gamma(n + 1)/(a*gamma(n + 2)) - 3*b*b**n*c*d**2*n*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - 3*b*b**n*c*d**2*x*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a*gamma(n + 2)) - 3*b**2*b**n*c**2*d*n**2*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2)) - 3*b**2*b**n*c**2*d*n*(a/b + x)**2*(a/b + x)**n*lerchphi(1 + b*x/a, 1, n + 1)*gamma(n + 1)/(a**2*x*gamma(n + 2))","A",0
936,1,53,0,49.850375," ","integrate(x**(1+2*n)*(b*x+a)**n*(3*b*x+2*a),x)","\begin{cases} \frac{a x^{2} x^{2 n} \left(a + b x\right)^{n}}{n + 1} + \frac{b x^{3} x^{2 n} \left(a + b x\right)^{n}}{n + 1} & \text{for}\: n \neq -1 \\2 \log{\left(x \right)} + \log{\left(\frac{a}{b} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**2*x**(2*n)*(a + b*x)**n/(n + 1) + b*x**3*x**(2*n)*(a + b*x)**n/(n + 1), Ne(n, -1)), (2*log(x) + log(a/b + x), True))","A",0
937,0,0,0,0.000000," ","integrate(x**2*(b*x+a)**n/(d*x+c),x)","\int \frac{x^{2} \left(a + b x\right)^{n}}{c + d x}\, dx"," ",0,"Integral(x**2*(a + b*x)**n/(c + d*x), x)","F",0
938,0,0,0,0.000000," ","integrate(x*(b*x+a)**n/(d*x+c),x)","\int \frac{x \left(a + b x\right)^{n}}{c + d x}\, dx"," ",0,"Integral(x*(a + b*x)**n/(c + d*x), x)","F",0
939,0,0,0,0.000000," ","integrate((b*x+a)**n/(d*x+c),x)","\int \frac{\left(a + b x\right)^{n}}{c + d x}\, dx"," ",0,"Integral((a + b*x)**n/(c + d*x), x)","F",0
940,0,0,0,0.000000," ","integrate((b*x+a)**n/x/(d*x+c),x)","\int \frac{\left(a + b x\right)^{n}}{x \left(c + d x\right)}\, dx"," ",0,"Integral((a + b*x)**n/(x*(c + d*x)), x)","F",0
941,-2,0,0,0.000000," ","integrate((b*x+a)**n/x**2/(d*x+c),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
942,-2,0,0,0.000000," ","integrate(x**3*(b*x+a)**n/(d*x+c)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
943,-2,0,0,0.000000," ","integrate(x**2*(b*x+a)**n/(d*x+c)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
944,0,0,0,0.000000," ","integrate(x*(b*x+a)**n/(d*x+c)**2,x)","\int \frac{x \left(a + b x\right)^{n}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(x*(a + b*x)**n/(c + d*x)**2, x)","F",0
945,0,0,0,0.000000," ","integrate((b*x+a)**n/(d*x+c)**2,x)","\int \frac{\left(a + b x\right)^{n}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*x)**n/(c + d*x)**2, x)","F",0
946,0,0,0,0.000000," ","integrate((b*x+a)**n/x/(d*x+c)**2,x)","\int \frac{\left(a + b x\right)^{n}}{x \left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*x)**n/(x*(c + d*x)**2), x)","F",0
947,0,0,0,0.000000," ","integrate((b*x+a)**n/x**2/(d*x+c)**2,x)","\int \frac{\left(a + b x\right)^{n}}{x^{2} \left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*x)**n/(x**2*(c + d*x)**2), x)","F",0
948,-1,0,0,0.000000," ","integrate((b*x)**(5/2)*(d*x+c)**n*(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
949,1,70,0,127.862345," ","integrate((b*x)**(5/2)*(d*x+c)**n*(f*x+e),x)","\frac{2 b^{\frac{5}{2}} c^{n} e x^{\frac{7}{2}} {{}_{2}F_{1}\left(\begin{matrix} \frac{7}{2}, - n \\ \frac{9}{2} \end{matrix}\middle| {\frac{d x e^{i \pi}}{c}} \right)}}{7} + \frac{2 b^{\frac{5}{2}} c^{n} f x^{\frac{9}{2}} {{}_{2}F_{1}\left(\begin{matrix} \frac{9}{2}, - n \\ \frac{11}{2} \end{matrix}\middle| {\frac{d x e^{i \pi}}{c}} \right)}}{9}"," ",0,"2*b**(5/2)*c**n*e*x**(7/2)*hyper((7/2, -n), (9/2,), d*x*exp_polar(I*pi)/c)/7 + 2*b**(5/2)*c**n*f*x**(9/2)*hyper((9/2, -n), (11/2,), d*x*exp_polar(I*pi)/c)/9","C",0
950,-1,0,0,0.000000," ","integrate((b*x)**(5/2)*(d*x+c)**n/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
951,-1,0,0,0.000000," ","integrate((b*x)**(5/2)*(d*x+c)**n/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
952,1,131,0,19.478653," ","integrate((b*x)**m*(d*x+c)**n*(f*x+e)**2,x)","\frac{b^{m} c^{n} e^{2} x x^{m} \Gamma\left(m + 1\right) {{}_{2}F_{1}\left(\begin{matrix} - n, m + 1 \\ m + 2 \end{matrix}\middle| {\frac{d x e^{i \pi}}{c}} \right)}}{\Gamma\left(m + 2\right)} + \frac{2 b^{m} c^{n} e f x^{2} x^{m} \Gamma\left(m + 2\right) {{}_{2}F_{1}\left(\begin{matrix} - n, m + 2 \\ m + 3 \end{matrix}\middle| {\frac{d x e^{i \pi}}{c}} \right)}}{\Gamma\left(m + 3\right)} + \frac{b^{m} c^{n} f^{2} x^{3} x^{m} \Gamma\left(m + 3\right) {{}_{2}F_{1}\left(\begin{matrix} - n, m + 3 \\ m + 4 \end{matrix}\middle| {\frac{d x e^{i \pi}}{c}} \right)}}{\Gamma\left(m + 4\right)}"," ",0,"b**m*c**n*e**2*x*x**m*gamma(m + 1)*hyper((-n, m + 1), (m + 2,), d*x*exp_polar(I*pi)/c)/gamma(m + 2) + 2*b**m*c**n*e*f*x**2*x**m*gamma(m + 2)*hyper((-n, m + 2), (m + 3,), d*x*exp_polar(I*pi)/c)/gamma(m + 3) + b**m*c**n*f**2*x**3*x**m*gamma(m + 3)*hyper((-n, m + 3), (m + 4,), d*x*exp_polar(I*pi)/c)/gamma(m + 4)","C",0
953,1,82,0,11.021728," ","integrate((b*x)**m*(d*x+c)**n*(f*x+e),x)","\frac{b^{m} c^{n} e x x^{m} \Gamma\left(m + 1\right) {{}_{2}F_{1}\left(\begin{matrix} - n, m + 1 \\ m + 2 \end{matrix}\middle| {\frac{d x e^{i \pi}}{c}} \right)}}{\Gamma\left(m + 2\right)} + \frac{b^{m} c^{n} f x^{2} x^{m} \Gamma\left(m + 2\right) {{}_{2}F_{1}\left(\begin{matrix} - n, m + 2 \\ m + 3 \end{matrix}\middle| {\frac{d x e^{i \pi}}{c}} \right)}}{\Gamma\left(m + 3\right)}"," ",0,"b**m*c**n*e*x*x**m*gamma(m + 1)*hyper((-n, m + 1), (m + 2,), d*x*exp_polar(I*pi)/c)/gamma(m + 2) + b**m*c**n*f*x**2*x**m*gamma(m + 2)*hyper((-n, m + 2), (m + 3,), d*x*exp_polar(I*pi)/c)/gamma(m + 3)","C",0
954,-2,0,0,0.000000," ","integrate((b*x)**m*(d*x+c)**n/(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
955,0,0,0,0.000000," ","integrate((b*x)**m*(d*x+c)**n/(f*x+e)**2,x)","\int \frac{\left(b x\right)^{m} \left(c + d x\right)^{n}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((b*x)**m*(c + d*x)**n/(e + f*x)**2, x)","F",0
956,-1,0,0,0.000000," ","integrate((b*x)**m*(d*x+c)**n*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
957,-1,0,0,0.000000," ","integrate((e*x)**m*(-b*x+a)**(2+n)*(b*x+a)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
958,-2,0,0,0.000000," ","integrate(x**2*(b*x+a)**n*(d*x+c)**p,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
959,-2,0,0,0.000000," ","integrate(x*(b*x+a)**n*(d*x+c)**p,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
960,-2,0,0,0.000000," ","integrate((b*x+a)**n*(d*x+c)**p,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
961,0,0,0,0.000000," ","integrate((b*x+a)**n*(d*x+c)**p/x,x)","\int \frac{\left(a + b x\right)^{n} \left(c + d x\right)^{p}}{x}\, dx"," ",0,"Integral((a + b*x)**n*(c + d*x)**p/x, x)","F",0
962,0,0,0,0.000000," ","integrate((b*x+a)**n*(d*x+c)**p/x**2,x)","\int \frac{\left(a + b x\right)^{n} \left(c + d x\right)^{p}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**n*(c + d*x)**p/x**2, x)","F",0
963,-1,0,0,0.000000," ","integrate((b*x)**(3/2)*(d*x+c)**n*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
964,-1,0,0,0.000000," ","integrate((b*x)**(1/2)*(d*x+c)**n*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
965,-1,0,0,0.000000," ","integrate((d*x+c)**n*(f*x+e)**p/(b*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
966,0,0,0,0.000000," ","integrate((b*x)**m*(d*x+pi)**n*(f*x+E)**p,x)","\int \left(b x\right)^{m} \left(d x + \pi\right)^{n} \left(f x + e\right)^{p}\, dx"," ",0,"Integral((b*x)**m*(d*x + pi)**n*(f*x + E)**p, x)","F",0
967,-1,0,0,0.000000," ","integrate((b*x)**m*(d*x+pi)**n*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
968,-1,0,0,0.000000," ","integrate((b*x)**(5/2)*(d*x+pi)**n*(f*x+E)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
969,-1,0,0,0.000000," ","integrate((b*x)**(5/2)*(d*x+pi)**n*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
970,-2,0,0,0.000000," ","integrate(x**3*(b*x+a)**n/((d*x+c)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
971,-2,0,0,0.000000," ","integrate(x**2*(b*x+a)**n/((d*x+c)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
972,-2,0,0,0.000000," ","integrate(x*(b*x+a)**n/((d*x+c)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
973,-2,0,0,0.000000," ","integrate((b*x+a)**n/((d*x+c)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
974,0,0,0,0.000000," ","integrate((b*x+a)**n/x/((d*x+c)**n),x)","\int \frac{\left(a + b x\right)^{n} \left(c + d x\right)^{- n}}{x}\, dx"," ",0,"Integral((a + b*x)**n*(c + d*x)**(-n)/x, x)","F",0
975,-1,0,0,0.000000," ","integrate((b*x+a)**n/x**2/((d*x+c)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
976,-2,0,0,0.000000," ","integrate((b*x+a)**n/x**3/((d*x+c)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
977,-1,0,0,0.000000," ","integrate((b*x+a)**n/x**4/((d*x+c)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
978,0,0,0,0.000000," ","integrate((1-x)**n*x**3/((1+x)**n),x)","\int x^{3} \left(1 - x\right)^{n} \left(x + 1\right)^{- n}\, dx"," ",0,"Integral(x**3*(1 - x)**n*(x + 1)**(-n), x)","F",0
979,0,0,0,0.000000," ","integrate((1-x)**n*x**2/((1+x)**n),x)","\int x^{2} \left(1 - x\right)^{n} \left(x + 1\right)^{- n}\, dx"," ",0,"Integral(x**2*(1 - x)**n*(x + 1)**(-n), x)","F",0
980,0,0,0,0.000000," ","integrate((1-x)**n*x/((1+x)**n),x)","\int x \left(1 - x\right)^{n} \left(x + 1\right)^{- n}\, dx"," ",0,"Integral(x*(1 - x)**n*(x + 1)**(-n), x)","F",0
981,1,42,0,17.882441," ","integrate((1-x)**n/((1+x)**n),x)","\frac{2^{- n} \left(x - 1\right) \left(x - 1\right)^{n} e^{i \pi n} \Gamma\left(n + 1\right) {{}_{2}F_{1}\left(\begin{matrix} n, n + 1 \\ n + 2 \end{matrix}\middle| {\frac{\left(x - 1\right) e^{i \pi}}{2}} \right)}}{\Gamma\left(n + 2\right)}"," ",0,"2**(-n)*(x - 1)*(x - 1)**n*exp(I*pi*n)*gamma(n + 1)*hyper((n, n + 1), (n + 2,), (x - 1)*exp_polar(I*pi)/2)/gamma(n + 2)","C",0
982,0,0,0,0.000000," ","integrate((1-x)**n/x/((1+x)**n),x)","\int \frac{\left(1 - x\right)^{n} \left(x + 1\right)^{- n}}{x}\, dx"," ",0,"Integral((1 - x)**n*(x + 1)**(-n)/x, x)","F",0
983,0,0,0,0.000000," ","integrate((1-x)**n/x**2/((1+x)**n),x)","\int \frac{\left(1 - x\right)^{n} \left(x + 1\right)^{- n}}{x^{2}}\, dx"," ",0,"Integral((1 - x)**n*(x + 1)**(-n)/x**2, x)","F",0
984,0,0,0,0.000000," ","integrate((1-x)**n/x**3/((1+x)**n),x)","\int \frac{\left(1 - x\right)^{n} \left(x + 1\right)^{- n}}{x^{3}}\, dx"," ",0,"Integral((1 - x)**n*(x + 1)**(-n)/x**3, x)","F",0
985,0,0,0,0.000000," ","integrate((1-x)**n/x**4/((1+x)**n),x)","\int \frac{\left(1 - x\right)^{n} \left(x + 1\right)^{- n}}{x^{4}}\, dx"," ",0,"Integral((1 - x)**n*(x + 1)**(-n)/x**4, x)","F",0
986,1,202,0,31.795339," ","integrate(x**m*(-a*x+1)**n*(a*x+1)**n,x)","\frac{a^{- m} {G_{6, 6}^{5, 3}\left(\begin{matrix} - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2}, 1 & \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - n, - \frac{m}{2} - n + \frac{1}{2} \\- \frac{m}{2} - n - \frac{1}{2}, - \frac{m}{2} - n, - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - n + \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2} & 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{a^{2} x^{2}}} \right)} e^{- i \pi m} e^{- i \pi n}}{4 \pi a \Gamma\left(- n\right)} - \frac{a^{- m} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2}, 1 &  \\- \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} & - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, - \frac{m}{2} - n - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{1}{a^{2} x^{2}}} \right)}}{4 \pi a \Gamma\left(- n\right)}"," ",0,"a**(-m)*meijerg(((-m/2 - n/2, -m/2 - n/2 + 1/2, 1), (1/2 - m/2, -m/2 - n, -m/2 - n + 1/2)), ((-m/2 - n - 1/2, -m/2 - n, -m/2 - n/2, -m/2 - n + 1/2, -m/2 - n/2 + 1/2), (0,)), exp_polar(-2*I*pi)/(a**2*x**2))*exp(-I*pi*m)*exp(-I*pi*n)/(4*pi*a*gamma(-n)) - a**(-m)*meijerg(((-m/2 - 1/2, -m/2, 1/2 - m/2, -m/2 - n/2 - 1/2, -m/2 - n/2, 1), ()), ((-m/2 - n/2 - 1/2, -m/2 - n/2), (-m/2 - 1/2, -m/2, -m/2 - n - 1/2, 0)), 1/(a**2*x**2))/(4*pi*a*gamma(-n))","C",0
987,1,209,0,32.182559," ","integrate(x**m*(-a*x+1)**n*(2*a*x+2)**n,x)","- \frac{2^{n} a^{- m} {G_{6, 6}^{5, 3}\left(\begin{matrix} - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2}, 1 & \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - n, - \frac{m}{2} - n + \frac{1}{2} \\- \frac{m}{2} - n - \frac{1}{2}, - \frac{m}{2} - n, - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - n + \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2} & 0 \end{matrix} \middle| {\frac{1}{a^{2} x^{2}}} \right)} e^{i \pi n}}{4 \pi a \Gamma\left(- n\right)} + \frac{2^{n} a^{- m} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2}, 1 &  \\- \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} & - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, - \frac{m}{2} - n - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{a^{2} x^{2}}} \right)} e^{- i \pi m}}{4 \pi a \Gamma\left(- n\right)}"," ",0,"-2**n*a**(-m)*meijerg(((-m/2 - n/2, -m/2 - n/2 + 1/2, 1), (1/2 - m/2, -m/2 - n, -m/2 - n + 1/2)), ((-m/2 - n - 1/2, -m/2 - n, -m/2 - n/2, -m/2 - n + 1/2, -m/2 - n/2 + 1/2), (0,)), 1/(a**2*x**2))*exp(I*pi*n)/(4*pi*a*gamma(-n)) + 2**n*a**(-m)*meijerg(((-m/2 - 1/2, -m/2, 1/2 - m/2, -m/2 - n/2 - 1/2, -m/2 - n/2, 1), ()), ((-m/2 - n/2 - 1/2, -m/2 - n/2), (-m/2 - 1/2, -m/2, -m/2 - n - 1/2, 0)), exp_polar(-2*I*pi)/(a**2*x**2))*exp(-I*pi*m)/(4*pi*a*gamma(-n))","C",0
988,1,221,0,32.156793," ","integrate(x**m*(-a*x+2)**n*(a*x+2)**n,x)","\frac{2^{m} 2^{2 n} a^{- m} {G_{6, 6}^{5, 3}\left(\begin{matrix} - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2}, 1 & \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - n, - \frac{m}{2} - n + \frac{1}{2} \\- \frac{m}{2} - n - \frac{1}{2}, - \frac{m}{2} - n, - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - n + \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2} & 0 \end{matrix} \middle| {\frac{4 e^{- 2 i \pi}}{a^{2} x^{2}}} \right)} e^{- i \pi m} e^{- i \pi n}}{2 \pi a \Gamma\left(- n\right)} - \frac{2^{m} 2^{2 n} a^{- m} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2}, 1 &  \\- \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} & - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, - \frac{m}{2} - n - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{4}{a^{2} x^{2}}} \right)}}{2 \pi a \Gamma\left(- n\right)}"," ",0,"2**m*2**(2*n)*a**(-m)*meijerg(((-m/2 - n/2, -m/2 - n/2 + 1/2, 1), (1/2 - m/2, -m/2 - n, -m/2 - n + 1/2)), ((-m/2 - n - 1/2, -m/2 - n, -m/2 - n/2, -m/2 - n + 1/2, -m/2 - n/2 + 1/2), (0,)), 4*exp_polar(-2*I*pi)/(a**2*x**2))*exp(-I*pi*m)*exp(-I*pi*n)/(2*pi*a*gamma(-n)) - 2**m*2**(2*n)*a**(-m)*meijerg(((-m/2 - 1/2, -m/2, 1/2 - m/2, -m/2 - n/2 - 1/2, -m/2 - n/2, 1), ()), ((-m/2 - n/2 - 1/2, -m/2 - n/2), (-m/2 - 1/2, -m/2, -m/2 - n - 1/2, 0)), 4/(a**2*x**2))/(2*pi*a*gamma(-n))","C",0
989,-1,0,0,0.000000," ","integrate(x**m*(1-1/2*a*x)**n*(a*x+2)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
990,-1,0,0,0.000000," ","integrate(x**m*(-2*a*x+3)**(2+n)*(4*a*x+6)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
991,-1,0,0,0.000000," ","integrate(x**m*(-2*a*x+3)**(1+n)*(4*a*x+6)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
992,1,238,0,38.528468," ","integrate(x**m*(-2*a*x+3)**n*(4*a*x+6)**n,x)","- \frac{3 \cdot 18^{n} 4^{- \frac{m}{2}} \cdot 9^{\frac{m}{2}} a^{- m} {G_{6, 6}^{5, 3}\left(\begin{matrix} - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2}, 1 & \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - n, - \frac{m}{2} - n + \frac{1}{2} \\- \frac{m}{2} - n - \frac{1}{2}, - \frac{m}{2} - n, - \frac{m}{2} - \frac{n}{2}, - \frac{m}{2} - n + \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} + \frac{1}{2} & 0 \end{matrix} \middle| {\frac{9}{4 a^{2} x^{2}}} \right)} e^{i \pi n}}{8 \pi a \Gamma\left(- n\right)} + \frac{3 \cdot 18^{n} 4^{- \frac{m}{2}} \cdot 9^{\frac{m}{2}} a^{- m} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, \frac{1}{2} - \frac{m}{2}, - \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2}, 1 &  \\- \frac{m}{2} - \frac{n}{2} - \frac{1}{2}, - \frac{m}{2} - \frac{n}{2} & - \frac{m}{2} - \frac{1}{2}, - \frac{m}{2}, - \frac{m}{2} - n - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{9 e^{- 2 i \pi}}{4 a^{2} x^{2}}} \right)} e^{- i \pi m}}{8 \pi a \Gamma\left(- n\right)}"," ",0,"-3*18**n*4**(-m/2)*9**(m/2)*a**(-m)*meijerg(((-m/2 - n/2, -m/2 - n/2 + 1/2, 1), (1/2 - m/2, -m/2 - n, -m/2 - n + 1/2)), ((-m/2 - n - 1/2, -m/2 - n, -m/2 - n/2, -m/2 - n + 1/2, -m/2 - n/2 + 1/2), (0,)), 9/(4*a**2*x**2))*exp(I*pi*n)/(8*pi*a*gamma(-n)) + 3*18**n*4**(-m/2)*9**(m/2)*a**(-m)*meijerg(((-m/2 - 1/2, -m/2, 1/2 - m/2, -m/2 - n/2 - 1/2, -m/2 - n/2, 1), ()), ((-m/2 - n/2 - 1/2, -m/2 - n/2), (-m/2 - 1/2, -m/2, -m/2 - n - 1/2, 0)), 9*exp_polar(-2*I*pi)/(4*a**2*x**2))*exp(-I*pi*m)/(8*pi*a*gamma(-n))","C",0
993,-1,0,0,0.000000," ","integrate(x**m*(-2*a*x+3)**(-1+n)*(4*a*x+6)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
994,-1,0,0,0.000000," ","integrate(x**m*(-2*a*x+3)**(-2+n)*(4*a*x+6)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
995,-1,0,0,0.000000," ","integrate(x**m*(b*x+a)**(1+n)*(d*x+c)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
996,0,0,0,0.000000," ","integrate((a-x)**m*(f*x)**p*(d*x+c)**n,x)","\int \left(f x\right)^{p} \left(a - x\right)^{m} \left(c + d x\right)^{n}\, dx"," ",0,"Integral((f*x)**p*(a - x)**m*(c + d*x)**n, x)","F",0
997,-1,0,0,0.000000," ","integrate((1-x)**(-1/2+p)*(1+x)**(1/2+p)/((c*x)**(2+2*p)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
998,0,0,0,0.000000," ","integrate((1+x/a)**(1/2*n)/x**2/((1-x/a)**(1/2*n)),x)","\int \frac{\left(1 - \frac{x}{a}\right)^{- \frac{n}{2}} \left(1 + \frac{x}{a}\right)^{\frac{n}{2}}}{x^{2}}\, dx"," ",0,"Integral((1 - x/a)**(-n/2)*(1 + x/a)**(n/2)/x**2, x)","F",0
999,-1,0,0,0.000000," ","integrate((b*x)**(-2-2*m)*(-a*x+1)**m*(a*x+1)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1000,0,0,0,0.000000," ","integrate((a*x+1)**n/x/((-a*x+1)**n),x)","\int \frac{\left(- a x + 1\right)^{- n} \left(a x + 1\right)^{n}}{x}\, dx"," ",0,"Integral((-a*x + 1)**(-n)*(a*x + 1)**n/x, x)","F",0
1001,0,0,0,0.000000," ","integrate((-a*x+1)**(1-n)*(a*x+1)**(1+n)/x**2,x)","\int \frac{\left(- a x + 1\right)^{1 - n} \left(a x + 1\right)^{n + 1}}{x^{2}}\, dx"," ",0,"Integral((-a*x + 1)**(1 - n)*(a*x + 1)**(n + 1)/x**2, x)","F",0
1002,1,70,0,0.633163," ","integrate(x**2/(-a*x+1)**7/(a*x+1)**4,x)","- \frac{- 3 a x + 1}{24 a^{12} x^{9} - 72 a^{11} x^{8} + 192 a^{9} x^{6} - 144 a^{8} x^{5} - 144 a^{7} x^{4} + 192 a^{6} x^{3} - 72 a^{4} x + 24 a^{3}}"," ",0,"-(-3*a*x + 1)/(24*a**12*x**9 - 72*a**11*x**8 + 192*a**9*x**6 - 144*a**8*x**5 - 144*a**7*x**4 + 192*a**6*x**3 - 72*a**4*x + 24*a**3)","B",0
1003,1,129,0,1.188908," ","integrate(x**2/(-a*x+1)**11/(a*x+1)**7,x)","- \frac{- 4 a x + 1}{60 a^{19} x^{16} - 240 a^{18} x^{15} + 1200 a^{16} x^{13} - 1200 a^{15} x^{12} - 2160 a^{14} x^{11} + 3840 a^{13} x^{10} + 1200 a^{12} x^{9} - 5400 a^{11} x^{8} + 1200 a^{10} x^{7} + 3840 a^{9} x^{6} - 2160 a^{8} x^{5} - 1200 a^{7} x^{4} + 1200 a^{6} x^{3} - 240 a^{4} x + 60 a^{3}}"," ",0,"-(-4*a*x + 1)/(60*a**19*x**16 - 240*a**18*x**15 + 1200*a**16*x**13 - 1200*a**15*x**12 - 2160*a**14*x**11 + 3840*a**13*x**10 + 1200*a**12*x**9 - 5400*a**11*x**8 + 1200*a**10*x**7 + 3840*a**9*x**6 - 2160*a**8*x**5 - 1200*a**7*x**4 + 1200*a**6*x**3 - 240*a**4*x + 60*a**3)","B",0
1004,1,204,0,2.020720," ","integrate(x**2/(-a*x+1)**16/(a*x+1)**11,x)","\frac{- 5 a x + 1}{120 a^{28} x^{25} - 600 a^{27} x^{24} + 4800 a^{25} x^{22} - 6000 a^{24} x^{21} - 15120 a^{23} x^{20} + 33600 a^{22} x^{19} + 19200 a^{21} x^{18} - 91800 a^{20} x^{17} + 12600 a^{19} x^{16} + 149760 a^{18} x^{15} - 86400 a^{17} x^{14} - 151200 a^{16} x^{13} + 151200 a^{15} x^{12} + 86400 a^{14} x^{11} - 149760 a^{13} x^{10} - 12600 a^{12} x^{9} + 91800 a^{11} x^{8} - 19200 a^{10} x^{7} - 33600 a^{9} x^{6} + 15120 a^{8} x^{5} + 6000 a^{7} x^{4} - 4800 a^{6} x^{3} + 600 a^{4} x - 120 a^{3}}"," ",0,"(-5*a*x + 1)/(120*a**28*x**25 - 600*a**27*x**24 + 4800*a**25*x**22 - 6000*a**24*x**21 - 15120*a**23*x**20 + 33600*a**22*x**19 + 19200*a**21*x**18 - 91800*a**20*x**17 + 12600*a**19*x**16 + 149760*a**18*x**15 - 86400*a**17*x**14 - 151200*a**16*x**13 + 151200*a**15*x**12 + 86400*a**14*x**11 - 149760*a**13*x**10 - 12600*a**12*x**9 + 91800*a**11*x**8 - 19200*a**10*x**7 - 33600*a**9*x**6 + 15120*a**8*x**5 + 6000*a**7*x**4 - 4800*a**6*x**3 + 600*a**4*x - 120*a**3)","B",0
1005,-1,0,0,0.000000," ","integrate(x**2*(-a*x+1)**(-1-1/2*n*(1+n))*(a*x+1)**(-1-1/2*(-1+n)*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1006,0,0,0,0.000000," ","integrate((b*x+a)**(1+n)/x/((-b*x+a)**n),x)","\int \frac{\left(a - b x\right)^{- n} \left(a + b x\right)^{n + 1}}{x}\, dx"," ",0,"Integral((a - b*x)**(-n)*(a + b*x)**(n + 1)/x, x)","F",0
1007,-1,0,0,0.000000," ","integrate((b*x+a)**(1+n)/x**2/((-b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1008,-1,0,0,0.000000," ","integrate((b*x+a)**(1+n)/x**3/((-b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1009,-1,0,0,0.000000," ","integrate((b*x+a)**(1+n)/x**4/((-b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1010,-1,0,0,0.000000," ","integrate((b*x+a)**(1+n)/x**5/((-b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1011,1,226,0,0.106276," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**4,x)","A a d^{4} x + \frac{B b e^{4} x^{7}}{7} + x^{6} \left(\frac{A b e^{4}}{6} + \frac{B a e^{4}}{6} + \frac{2 B b d e^{3}}{3}\right) + x^{5} \left(\frac{A a e^{4}}{5} + \frac{4 A b d e^{3}}{5} + \frac{4 B a d e^{3}}{5} + \frac{6 B b d^{2} e^{2}}{5}\right) + x^{4} \left(A a d e^{3} + \frac{3 A b d^{2} e^{2}}{2} + \frac{3 B a d^{2} e^{2}}{2} + B b d^{3} e\right) + x^{3} \left(2 A a d^{2} e^{2} + \frac{4 A b d^{3} e}{3} + \frac{4 B a d^{3} e}{3} + \frac{B b d^{4}}{3}\right) + x^{2} \left(2 A a d^{3} e + \frac{A b d^{4}}{2} + \frac{B a d^{4}}{2}\right)"," ",0,"A*a*d**4*x + B*b*e**4*x**7/7 + x**6*(A*b*e**4/6 + B*a*e**4/6 + 2*B*b*d*e**3/3) + x**5*(A*a*e**4/5 + 4*A*b*d*e**3/5 + 4*B*a*d*e**3/5 + 6*B*b*d**2*e**2/5) + x**4*(A*a*d*e**3 + 3*A*b*d**2*e**2/2 + 3*B*a*d**2*e**2/2 + B*b*d**3*e) + x**3*(2*A*a*d**2*e**2 + 4*A*b*d**3*e/3 + 4*B*a*d**3*e/3 + B*b*d**4/3) + x**2*(2*A*a*d**3*e + A*b*d**4/2 + B*a*d**4/2)","B",0
1012,1,168,0,0.093589," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**3,x)","A a d^{3} x + \frac{B b e^{3} x^{6}}{6} + x^{5} \left(\frac{A b e^{3}}{5} + \frac{B a e^{3}}{5} + \frac{3 B b d e^{2}}{5}\right) + x^{4} \left(\frac{A a e^{3}}{4} + \frac{3 A b d e^{2}}{4} + \frac{3 B a d e^{2}}{4} + \frac{3 B b d^{2} e}{4}\right) + x^{3} \left(A a d e^{2} + A b d^{2} e + B a d^{2} e + \frac{B b d^{3}}{3}\right) + x^{2} \left(\frac{3 A a d^{2} e}{2} + \frac{A b d^{3}}{2} + \frac{B a d^{3}}{2}\right)"," ",0,"A*a*d**3*x + B*b*e**3*x**6/6 + x**5*(A*b*e**3/5 + B*a*e**3/5 + 3*B*b*d*e**2/5) + x**4*(A*a*e**3/4 + 3*A*b*d*e**2/4 + 3*B*a*d*e**2/4 + 3*B*b*d**2*e/4) + x**3*(A*a*d*e**2 + A*b*d**2*e + B*a*d**2*e + B*b*d**3/3) + x**2*(3*A*a*d**2*e/2 + A*b*d**3/2 + B*a*d**3/2)","B",0
1013,1,116,0,0.081976," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**2,x)","A a d^{2} x + \frac{B b e^{2} x^{5}}{5} + x^{4} \left(\frac{A b e^{2}}{4} + \frac{B a e^{2}}{4} + \frac{B b d e}{2}\right) + x^{3} \left(\frac{A a e^{2}}{3} + \frac{2 A b d e}{3} + \frac{2 B a d e}{3} + \frac{B b d^{2}}{3}\right) + x^{2} \left(A a d e + \frac{A b d^{2}}{2} + \frac{B a d^{2}}{2}\right)"," ",0,"A*a*d**2*x + B*b*e**2*x**5/5 + x**4*(A*b*e**2/4 + B*a*e**2/4 + B*b*d*e/2) + x**3*(A*a*e**2/3 + 2*A*b*d*e/3 + 2*B*a*d*e/3 + B*b*d**2/3) + x**2*(A*a*d*e + A*b*d**2/2 + B*a*d**2/2)","A",0
1014,1,63,0,0.069331," ","integrate((b*x+a)*(B*x+A)*(e*x+d),x)","A a d x + \frac{B b e x^{4}}{4} + x^{3} \left(\frac{A b e}{3} + \frac{B a e}{3} + \frac{B b d}{3}\right) + x^{2} \left(\frac{A a e}{2} + \frac{A b d}{2} + \frac{B a d}{2}\right)"," ",0,"A*a*d*x + B*b*e*x**4/4 + x**3*(A*b*e/3 + B*a*e/3 + B*b*d/3) + x**2*(A*a*e/2 + A*b*d/2 + B*a*d/2)","A",0
1015,1,26,0,0.061694," ","integrate((b*x+a)*(B*x+A),x)","A a x + \frac{B b x^{3}}{3} + x^{2} \left(\frac{A b}{2} + \frac{B a}{2}\right)"," ",0,"A*a*x + B*b*x**3/3 + x**2*(A*b/2 + B*a/2)","A",0
1016,1,53,0,0.271743," ","integrate((b*x+a)*(B*x+A)/(e*x+d),x)","\frac{B b x^{2}}{2 e} + x \left(\frac{A b}{e} + \frac{B a}{e} - \frac{B b d}{e^{2}}\right) - \frac{\left(- A e + B d\right) \left(a e - b d\right) \log{\left(d + e x \right)}}{e^{3}}"," ",0,"B*b*x**2/(2*e) + x*(A*b/e + B*a/e - B*b*d/e**2) - (-A*e + B*d)*(a*e - b*d)*log(d + e*x)/e**3","A",0
1017,1,71,0,0.462297," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**2,x)","\frac{B b x}{e^{2}} + \frac{- A a e^{2} + A b d e + B a d e - B b d^{2}}{d e^{3} + e^{4} x} + \frac{\left(A b e + B a e - 2 B b d\right) \log{\left(d + e x \right)}}{e^{3}}"," ",0,"B*b*x/e**2 + (-A*a*e**2 + A*b*d*e + B*a*d*e - B*b*d**2)/(d*e**3 + e**4*x) + (A*b*e + B*a*e - 2*B*b*d)*log(d + e*x)/e**3","A",0
1018,1,94,0,0.880646," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**3,x)","\frac{B b \log{\left(d + e x \right)}}{e^{3}} + \frac{- A a e^{2} - A b d e - B a d e + 3 B b d^{2} + x \left(- 2 A b e^{2} - 2 B a e^{2} + 4 B b d e\right)}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}}"," ",0,"B*b*log(d + e*x)/e**3 + (-A*a*e**2 - A*b*d*e - B*a*d*e + 3*B*b*d**2 + x*(-2*A*b*e**2 - 2*B*a*e**2 + 4*B*b*d*e))/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2)","A",0
1019,1,107,0,1.629945," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**4,x)","\frac{- 2 A a e^{2} - A b d e - B a d e - 2 B b d^{2} - 6 B b e^{2} x^{2} + x \left(- 3 A b e^{2} - 3 B a e^{2} - 6 B b d e\right)}{6 d^{3} e^{3} + 18 d^{2} e^{4} x + 18 d e^{5} x^{2} + 6 e^{6} x^{3}}"," ",0,"(-2*A*a*e**2 - A*b*d*e - B*a*d*e - 2*B*b*d**2 - 6*B*b*e**2*x**2 + x*(-3*A*b*e**2 - 3*B*a*e**2 - 6*B*b*d*e))/(6*d**3*e**3 + 18*d**2*e**4*x + 18*d*e**5*x**2 + 6*e**6*x**3)","A",0
1020,1,117,0,2.955468," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**5,x)","\frac{- 3 A a e^{2} - A b d e - B a d e - B b d^{2} - 6 B b e^{2} x^{2} + x \left(- 4 A b e^{2} - 4 B a e^{2} - 4 B b d e\right)}{12 d^{4} e^{3} + 48 d^{3} e^{4} x + 72 d^{2} e^{5} x^{2} + 48 d e^{6} x^{3} + 12 e^{7} x^{4}}"," ",0,"(-3*A*a*e**2 - A*b*d*e - B*a*d*e - B*b*d**2 - 6*B*b*e**2*x**2 + x*(-4*A*b*e**2 - 4*B*a*e**2 - 4*B*b*d*e))/(12*d**4*e**3 + 48*d**3*e**4*x + 72*d**2*e**5*x**2 + 48*d*e**6*x**3 + 12*e**7*x**4)","A",0
1021,1,134,0,4.738212," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**6,x)","\frac{- 12 A a e^{2} - 3 A b d e - 3 B a d e - 2 B b d^{2} - 20 B b e^{2} x^{2} + x \left(- 15 A b e^{2} - 15 B a e^{2} - 10 B b d e\right)}{60 d^{5} e^{3} + 300 d^{4} e^{4} x + 600 d^{3} e^{5} x^{2} + 600 d^{2} e^{6} x^{3} + 300 d e^{7} x^{4} + 60 e^{8} x^{5}}"," ",0,"(-12*A*a*e**2 - 3*A*b*d*e - 3*B*a*d*e - 2*B*b*d**2 - 20*B*b*e**2*x**2 + x*(-15*A*b*e**2 - 15*B*a*e**2 - 10*B*b*d*e))/(60*d**5*e**3 + 300*d**4*e**4*x + 600*d**3*e**5*x**2 + 600*d**2*e**6*x**3 + 300*d*e**7*x**4 + 60*e**8*x**5)","A",0
1022,1,384,0,0.123122," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**4,x)","A a^{2} d^{4} x + \frac{B b^{2} e^{4} x^{8}}{8} + x^{7} \left(\frac{A b^{2} e^{4}}{7} + \frac{2 B a b e^{4}}{7} + \frac{4 B b^{2} d e^{3}}{7}\right) + x^{6} \left(\frac{A a b e^{4}}{3} + \frac{2 A b^{2} d e^{3}}{3} + \frac{B a^{2} e^{4}}{6} + \frac{4 B a b d e^{3}}{3} + B b^{2} d^{2} e^{2}\right) + x^{5} \left(\frac{A a^{2} e^{4}}{5} + \frac{8 A a b d e^{3}}{5} + \frac{6 A b^{2} d^{2} e^{2}}{5} + \frac{4 B a^{2} d e^{3}}{5} + \frac{12 B a b d^{2} e^{2}}{5} + \frac{4 B b^{2} d^{3} e}{5}\right) + x^{4} \left(A a^{2} d e^{3} + 3 A a b d^{2} e^{2} + A b^{2} d^{3} e + \frac{3 B a^{2} d^{2} e^{2}}{2} + 2 B a b d^{3} e + \frac{B b^{2} d^{4}}{4}\right) + x^{3} \left(2 A a^{2} d^{2} e^{2} + \frac{8 A a b d^{3} e}{3} + \frac{A b^{2} d^{4}}{3} + \frac{4 B a^{2} d^{3} e}{3} + \frac{2 B a b d^{4}}{3}\right) + x^{2} \left(2 A a^{2} d^{3} e + A a b d^{4} + \frac{B a^{2} d^{4}}{2}\right)"," ",0,"A*a**2*d**4*x + B*b**2*e**4*x**8/8 + x**7*(A*b**2*e**4/7 + 2*B*a*b*e**4/7 + 4*B*b**2*d*e**3/7) + x**6*(A*a*b*e**4/3 + 2*A*b**2*d*e**3/3 + B*a**2*e**4/6 + 4*B*a*b*d*e**3/3 + B*b**2*d**2*e**2) + x**5*(A*a**2*e**4/5 + 8*A*a*b*d*e**3/5 + 6*A*b**2*d**2*e**2/5 + 4*B*a**2*d*e**3/5 + 12*B*a*b*d**2*e**2/5 + 4*B*b**2*d**3*e/5) + x**4*(A*a**2*d*e**3 + 3*A*a*b*d**2*e**2 + A*b**2*d**3*e + 3*B*a**2*d**2*e**2/2 + 2*B*a*b*d**3*e + B*b**2*d**4/4) + x**3*(2*A*a**2*d**2*e**2 + 8*A*a*b*d**3*e/3 + A*b**2*d**4/3 + 4*B*a**2*d**3*e/3 + 2*B*a*b*d**4/3) + x**2*(2*A*a**2*d**3*e + A*a*b*d**4 + B*a**2*d**4/2)","B",0
1023,1,296,0,0.111331," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**3,x)","A a^{2} d^{3} x + \frac{B b^{2} e^{3} x^{7}}{7} + x^{6} \left(\frac{A b^{2} e^{3}}{6} + \frac{B a b e^{3}}{3} + \frac{B b^{2} d e^{2}}{2}\right) + x^{5} \left(\frac{2 A a b e^{3}}{5} + \frac{3 A b^{2} d e^{2}}{5} + \frac{B a^{2} e^{3}}{5} + \frac{6 B a b d e^{2}}{5} + \frac{3 B b^{2} d^{2} e}{5}\right) + x^{4} \left(\frac{A a^{2} e^{3}}{4} + \frac{3 A a b d e^{2}}{2} + \frac{3 A b^{2} d^{2} e}{4} + \frac{3 B a^{2} d e^{2}}{4} + \frac{3 B a b d^{2} e}{2} + \frac{B b^{2} d^{3}}{4}\right) + x^{3} \left(A a^{2} d e^{2} + 2 A a b d^{2} e + \frac{A b^{2} d^{3}}{3} + B a^{2} d^{2} e + \frac{2 B a b d^{3}}{3}\right) + x^{2} \left(\frac{3 A a^{2} d^{2} e}{2} + A a b d^{3} + \frac{B a^{2} d^{3}}{2}\right)"," ",0,"A*a**2*d**3*x + B*b**2*e**3*x**7/7 + x**6*(A*b**2*e**3/6 + B*a*b*e**3/3 + B*b**2*d*e**2/2) + x**5*(2*A*a*b*e**3/5 + 3*A*b**2*d*e**2/5 + B*a**2*e**3/5 + 6*B*a*b*d*e**2/5 + 3*B*b**2*d**2*e/5) + x**4*(A*a**2*e**3/4 + 3*A*a*b*d*e**2/2 + 3*A*b**2*d**2*e/4 + 3*B*a**2*d*e**2/4 + 3*B*a*b*d**2*e/2 + B*b**2*d**3/4) + x**3*(A*a**2*d*e**2 + 2*A*a*b*d**2*e + A*b**2*d**3/3 + B*a**2*d**2*e + 2*B*a*b*d**3/3) + x**2*(3*A*a**2*d**2*e/2 + A*a*b*d**3 + B*a**2*d**3/2)","B",0
1024,1,202,0,0.098562," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**2,x)","A a^{2} d^{2} x + \frac{B b^{2} e^{2} x^{6}}{6} + x^{5} \left(\frac{A b^{2} e^{2}}{5} + \frac{2 B a b e^{2}}{5} + \frac{2 B b^{2} d e}{5}\right) + x^{4} \left(\frac{A a b e^{2}}{2} + \frac{A b^{2} d e}{2} + \frac{B a^{2} e^{2}}{4} + B a b d e + \frac{B b^{2} d^{2}}{4}\right) + x^{3} \left(\frac{A a^{2} e^{2}}{3} + \frac{4 A a b d e}{3} + \frac{A b^{2} d^{2}}{3} + \frac{2 B a^{2} d e}{3} + \frac{2 B a b d^{2}}{3}\right) + x^{2} \left(A a^{2} d e + A a b d^{2} + \frac{B a^{2} d^{2}}{2}\right)"," ",0,"A*a**2*d**2*x + B*b**2*e**2*x**6/6 + x**5*(A*b**2*e**2/5 + 2*B*a*b*e**2/5 + 2*B*b**2*d*e/5) + x**4*(A*a*b*e**2/2 + A*b**2*d*e/2 + B*a**2*e**2/4 + B*a*b*d*e + B*b**2*d**2/4) + x**3*(A*a**2*e**2/3 + 4*A*a*b*d*e/3 + A*b**2*d**2/3 + 2*B*a**2*d*e/3 + 2*B*a*b*d**2/3) + x**2*(A*a**2*d*e + A*a*b*d**2 + B*a**2*d**2/2)","A",0
1025,1,116,0,0.082719," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d),x)","A a^{2} d x + \frac{B b^{2} e x^{5}}{5} + x^{4} \left(\frac{A b^{2} e}{4} + \frac{B a b e}{2} + \frac{B b^{2} d}{4}\right) + x^{3} \left(\frac{2 A a b e}{3} + \frac{A b^{2} d}{3} + \frac{B a^{2} e}{3} + \frac{2 B a b d}{3}\right) + x^{2} \left(\frac{A a^{2} e}{2} + A a b d + \frac{B a^{2} d}{2}\right)"," ",0,"A*a**2*d*x + B*b**2*e*x**5/5 + x**4*(A*b**2*e/4 + B*a*b*e/2 + B*b**2*d/4) + x**3*(2*A*a*b*e/3 + A*b**2*d/3 + B*a**2*e/3 + 2*B*a*b*d/3) + x**2*(A*a**2*e/2 + A*a*b*d + B*a**2*d/2)","A",0
1026,1,49,0,0.074588," ","integrate((b*x+a)**2*(B*x+A),x)","A a^{2} x + \frac{B b^{2} x^{4}}{4} + x^{3} \left(\frac{A b^{2}}{3} + \frac{2 B a b}{3}\right) + x^{2} \left(A a b + \frac{B a^{2}}{2}\right)"," ",0,"A*a**2*x + B*b**2*x**4/4 + x**3*(A*b**2/3 + 2*B*a*b/3) + x**2*(A*a*b + B*a**2/2)","A",0
1027,1,117,0,0.456282," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d),x)","\frac{B b^{2} x^{3}}{3 e} + x^{2} \left(\frac{A b^{2}}{2 e} + \frac{B a b}{e} - \frac{B b^{2} d}{2 e^{2}}\right) + x \left(\frac{2 A a b}{e} - \frac{A b^{2} d}{e^{2}} + \frac{B a^{2}}{e} - \frac{2 B a b d}{e^{2}} + \frac{B b^{2} d^{2}}{e^{3}}\right) - \frac{\left(- A e + B d\right) \left(a e - b d\right)^{2} \log{\left(d + e x \right)}}{e^{4}}"," ",0,"B*b**2*x**3/(3*e) + x**2*(A*b**2/(2*e) + B*a*b/e - B*b**2*d/(2*e**2)) + x*(2*A*a*b/e - A*b**2*d/e**2 + B*a**2/e - 2*B*a*b*d/e**2 + B*b**2*d**2/e**3) - (-A*e + B*d)*(a*e - b*d)**2*log(d + e*x)/e**4","A",0
1028,1,151,0,0.981948," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**2,x)","\frac{B b^{2} x^{2}}{2 e^{2}} + x \left(\frac{A b^{2}}{e^{2}} + \frac{2 B a b}{e^{2}} - \frac{2 B b^{2} d}{e^{3}}\right) + \frac{- A a^{2} e^{3} + 2 A a b d e^{2} - A b^{2} d^{2} e + B a^{2} d e^{2} - 2 B a b d^{2} e + B b^{2} d^{3}}{d e^{4} + e^{5} x} + \frac{\left(a e - b d\right) \left(2 A b e + B a e - 3 B b d\right) \log{\left(d + e x \right)}}{e^{4}}"," ",0,"B*b**2*x**2/(2*e**2) + x*(A*b**2/e**2 + 2*B*a*b/e**2 - 2*B*b**2*d/e**3) + (-A*a**2*e**3 + 2*A*a*b*d*e**2 - A*b**2*d**2*e + B*a**2*d*e**2 - 2*B*a*b*d**2*e + B*b**2*d**3)/(d*e**4 + e**5*x) + (a*e - b*d)*(2*A*b*e + B*a*e - 3*B*b*d)*log(d + e*x)/e**4","A",0
1029,1,187,0,2.673419," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**3,x)","\frac{B b^{2} x}{e^{3}} + \frac{b \left(A b e + 2 B a e - 3 B b d\right) \log{\left(d + e x \right)}}{e^{4}} + \frac{- A a^{2} e^{3} - 2 A a b d e^{2} + 3 A b^{2} d^{2} e - B a^{2} d e^{2} + 6 B a b d^{2} e - 5 B b^{2} d^{3} + x \left(- 4 A a b e^{3} + 4 A b^{2} d e^{2} - 2 B a^{2} e^{3} + 8 B a b d e^{2} - 6 B b^{2} d^{2} e\right)}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}}"," ",0,"B*b**2*x/e**3 + b*(A*b*e + 2*B*a*e - 3*B*b*d)*log(d + e*x)/e**4 + (-A*a**2*e**3 - 2*A*a*b*d*e**2 + 3*A*b**2*d**2*e - B*a**2*d*e**2 + 6*B*a*b*d**2*e - 5*B*b**2*d**3 + x*(-4*A*a*b*e**3 + 4*A*b**2*d*e**2 - 2*B*a**2*e**3 + 8*B*a*b*d*e**2 - 6*B*b**2*d**2*e))/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2)","A",0
1030,1,211,0,6.655841," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**4,x)","\frac{B b^{2} \log{\left(d + e x \right)}}{e^{4}} + \frac{- 2 A a^{2} e^{3} - 2 A a b d e^{2} - 2 A b^{2} d^{2} e - B a^{2} d e^{2} - 4 B a b d^{2} e + 11 B b^{2} d^{3} + x^{2} \left(- 6 A b^{2} e^{3} - 12 B a b e^{3} + 18 B b^{2} d e^{2}\right) + x \left(- 6 A a b e^{3} - 6 A b^{2} d e^{2} - 3 B a^{2} e^{3} - 12 B a b d e^{2} + 27 B b^{2} d^{2} e\right)}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}}"," ",0,"B*b**2*log(d + e*x)/e**4 + (-2*A*a**2*e**3 - 2*A*a*b*d*e**2 - 2*A*b**2*d**2*e - B*a**2*d*e**2 - 4*B*a*b*d**2*e + 11*B*b**2*d**3 + x**2*(-6*A*b**2*e**3 - 12*B*a*b*e**3 + 18*B*b**2*d*e**2) + x*(-6*A*a*b*e**3 - 6*A*b**2*d*e**2 - 3*B*a**2*e**3 - 12*B*a*b*d*e**2 + 27*B*b**2*d**2*e))/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3)","B",0
1031,1,223,0,13.504834," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**5,x)","\frac{- 3 A a^{2} e^{3} - 2 A a b d e^{2} - A b^{2} d^{2} e - B a^{2} d e^{2} - 2 B a b d^{2} e - 3 B b^{2} d^{3} - 12 B b^{2} e^{3} x^{3} + x^{2} \left(- 6 A b^{2} e^{3} - 12 B a b e^{3} - 18 B b^{2} d e^{2}\right) + x \left(- 8 A a b e^{3} - 4 A b^{2} d e^{2} - 4 B a^{2} e^{3} - 8 B a b d e^{2} - 12 B b^{2} d^{2} e\right)}{12 d^{4} e^{4} + 48 d^{3} e^{5} x + 72 d^{2} e^{6} x^{2} + 48 d e^{7} x^{3} + 12 e^{8} x^{4}}"," ",0,"(-3*A*a**2*e**3 - 2*A*a*b*d*e**2 - A*b**2*d**2*e - B*a**2*d*e**2 - 2*B*a*b*d**2*e - 3*B*b**2*d**3 - 12*B*b**2*e**3*x**3 + x**2*(-6*A*b**2*e**3 - 12*B*a*b*e**3 - 18*B*b**2*d*e**2) + x*(-8*A*a*b*e**3 - 4*A*b**2*d*e**2 - 4*B*a**2*e**3 - 8*B*a*b*d*e**2 - 12*B*b**2*d**2*e))/(12*d**4*e**4 + 48*d**3*e**5*x + 72*d**2*e**6*x**2 + 48*d*e**7*x**3 + 12*e**8*x**4)","B",0
1032,1,238,0,23.296542," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**6,x)","\frac{- 12 A a^{2} e^{3} - 6 A a b d e^{2} - 2 A b^{2} d^{2} e - 3 B a^{2} d e^{2} - 4 B a b d^{2} e - 3 B b^{2} d^{3} - 30 B b^{2} e^{3} x^{3} + x^{2} \left(- 20 A b^{2} e^{3} - 40 B a b e^{3} - 30 B b^{2} d e^{2}\right) + x \left(- 30 A a b e^{3} - 10 A b^{2} d e^{2} - 15 B a^{2} e^{3} - 20 B a b d e^{2} - 15 B b^{2} d^{2} e\right)}{60 d^{5} e^{4} + 300 d^{4} e^{5} x + 600 d^{3} e^{6} x^{2} + 600 d^{2} e^{7} x^{3} + 300 d e^{8} x^{4} + 60 e^{9} x^{5}}"," ",0,"(-12*A*a**2*e**3 - 6*A*a*b*d*e**2 - 2*A*b**2*d**2*e - 3*B*a**2*d*e**2 - 4*B*a*b*d**2*e - 3*B*b**2*d**3 - 30*B*b**2*e**3*x**3 + x**2*(-20*A*b**2*e**3 - 40*B*a*b*e**3 - 30*B*b**2*d*e**2) + x*(-30*A*a*b*e**3 - 10*A*b**2*d*e**2 - 15*B*a**2*e**3 - 20*B*a*b*d*e**2 - 15*B*b**2*d**2*e))/(60*d**5*e**4 + 300*d**4*e**5*x + 600*d**3*e**6*x**2 + 600*d**2*e**7*x**3 + 300*d*e**8*x**4 + 60*e**9*x**5)","B",0
1033,1,246,0,41.827261," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**7,x)","\frac{- 10 A a^{2} e^{3} - 4 A a b d e^{2} - A b^{2} d^{2} e - 2 B a^{2} d e^{2} - 2 B a b d^{2} e - B b^{2} d^{3} - 20 B b^{2} e^{3} x^{3} + x^{2} \left(- 15 A b^{2} e^{3} - 30 B a b e^{3} - 15 B b^{2} d e^{2}\right) + x \left(- 24 A a b e^{3} - 6 A b^{2} d e^{2} - 12 B a^{2} e^{3} - 12 B a b d e^{2} - 6 B b^{2} d^{2} e\right)}{60 d^{6} e^{4} + 360 d^{5} e^{5} x + 900 d^{4} e^{6} x^{2} + 1200 d^{3} e^{7} x^{3} + 900 d^{2} e^{8} x^{4} + 360 d e^{9} x^{5} + 60 e^{10} x^{6}}"," ",0,"(-10*A*a**2*e**3 - 4*A*a*b*d*e**2 - A*b**2*d**2*e - 2*B*a**2*d*e**2 - 2*B*a*b*d**2*e - B*b**2*d**3 - 20*B*b**2*e**3*x**3 + x**2*(-15*A*b**2*e**3 - 30*B*a*b*e**3 - 15*B*b**2*d*e**2) + x*(-24*A*a*b*e**3 - 6*A*b**2*d*e**2 - 12*B*a**2*e**3 - 12*B*a*b*d*e**2 - 6*B*b**2*d**2*e))/(60*d**6*e**4 + 360*d**5*e**5*x + 900*d**4*e**6*x**2 + 1200*d**3*e**7*x**3 + 900*d**2*e**8*x**4 + 360*d*e**9*x**5 + 60*e**10*x**6)","B",0
1034,1,262,0,67.992914," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**8,x)","\frac{- 60 A a^{2} e^{3} - 20 A a b d e^{2} - 4 A b^{2} d^{2} e - 10 B a^{2} d e^{2} - 8 B a b d^{2} e - 3 B b^{2} d^{3} - 105 B b^{2} e^{3} x^{3} + x^{2} \left(- 84 A b^{2} e^{3} - 168 B a b e^{3} - 63 B b^{2} d e^{2}\right) + x \left(- 140 A a b e^{3} - 28 A b^{2} d e^{2} - 70 B a^{2} e^{3} - 56 B a b d e^{2} - 21 B b^{2} d^{2} e\right)}{420 d^{7} e^{4} + 2940 d^{6} e^{5} x + 8820 d^{5} e^{6} x^{2} + 14700 d^{4} e^{7} x^{3} + 14700 d^{3} e^{8} x^{4} + 8820 d^{2} e^{9} x^{5} + 2940 d e^{10} x^{6} + 420 e^{11} x^{7}}"," ",0,"(-60*A*a**2*e**3 - 20*A*a*b*d*e**2 - 4*A*b**2*d**2*e - 10*B*a**2*d*e**2 - 8*B*a*b*d**2*e - 3*B*b**2*d**3 - 105*B*b**2*e**3*x**3 + x**2*(-84*A*b**2*e**3 - 168*B*a*b*e**3 - 63*B*b**2*d*e**2) + x*(-140*A*a*b*e**3 - 28*A*b**2*d*e**2 - 70*B*a**2*e**3 - 56*B*a*b*d*e**2 - 21*B*b**2*d**2*e))/(420*d**7*e**4 + 2940*d**6*e**5*x + 8820*d**5*e**6*x**2 + 14700*d**4*e**7*x**3 + 14700*d**3*e**8*x**4 + 8820*d**2*e**9*x**5 + 2940*d*e**10*x**6 + 420*e**11*x**7)","B",0
1035,1,678,0,0.158125," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**5,x)","A a^{3} d^{5} x + \frac{B b^{3} e^{5} x^{10}}{10} + x^{9} \left(\frac{A b^{3} e^{5}}{9} + \frac{B a b^{2} e^{5}}{3} + \frac{5 B b^{3} d e^{4}}{9}\right) + x^{8} \left(\frac{3 A a b^{2} e^{5}}{8} + \frac{5 A b^{3} d e^{4}}{8} + \frac{3 B a^{2} b e^{5}}{8} + \frac{15 B a b^{2} d e^{4}}{8} + \frac{5 B b^{3} d^{2} e^{3}}{4}\right) + x^{7} \left(\frac{3 A a^{2} b e^{5}}{7} + \frac{15 A a b^{2} d e^{4}}{7} + \frac{10 A b^{3} d^{2} e^{3}}{7} + \frac{B a^{3} e^{5}}{7} + \frac{15 B a^{2} b d e^{4}}{7} + \frac{30 B a b^{2} d^{2} e^{3}}{7} + \frac{10 B b^{3} d^{3} e^{2}}{7}\right) + x^{6} \left(\frac{A a^{3} e^{5}}{6} + \frac{5 A a^{2} b d e^{4}}{2} + 5 A a b^{2} d^{2} e^{3} + \frac{5 A b^{3} d^{3} e^{2}}{3} + \frac{5 B a^{3} d e^{4}}{6} + 5 B a^{2} b d^{2} e^{3} + 5 B a b^{2} d^{3} e^{2} + \frac{5 B b^{3} d^{4} e}{6}\right) + x^{5} \left(A a^{3} d e^{4} + 6 A a^{2} b d^{2} e^{3} + 6 A a b^{2} d^{3} e^{2} + A b^{3} d^{4} e + 2 B a^{3} d^{2} e^{3} + 6 B a^{2} b d^{3} e^{2} + 3 B a b^{2} d^{4} e + \frac{B b^{3} d^{5}}{5}\right) + x^{4} \left(\frac{5 A a^{3} d^{2} e^{3}}{2} + \frac{15 A a^{2} b d^{3} e^{2}}{2} + \frac{15 A a b^{2} d^{4} e}{4} + \frac{A b^{3} d^{5}}{4} + \frac{5 B a^{3} d^{3} e^{2}}{2} + \frac{15 B a^{2} b d^{4} e}{4} + \frac{3 B a b^{2} d^{5}}{4}\right) + x^{3} \left(\frac{10 A a^{3} d^{3} e^{2}}{3} + 5 A a^{2} b d^{4} e + A a b^{2} d^{5} + \frac{5 B a^{3} d^{4} e}{3} + B a^{2} b d^{5}\right) + x^{2} \left(\frac{5 A a^{3} d^{4} e}{2} + \frac{3 A a^{2} b d^{5}}{2} + \frac{B a^{3} d^{5}}{2}\right)"," ",0,"A*a**3*d**5*x + B*b**3*e**5*x**10/10 + x**9*(A*b**3*e**5/9 + B*a*b**2*e**5/3 + 5*B*b**3*d*e**4/9) + x**8*(3*A*a*b**2*e**5/8 + 5*A*b**3*d*e**4/8 + 3*B*a**2*b*e**5/8 + 15*B*a*b**2*d*e**4/8 + 5*B*b**3*d**2*e**3/4) + x**7*(3*A*a**2*b*e**5/7 + 15*A*a*b**2*d*e**4/7 + 10*A*b**3*d**2*e**3/7 + B*a**3*e**5/7 + 15*B*a**2*b*d*e**4/7 + 30*B*a*b**2*d**2*e**3/7 + 10*B*b**3*d**3*e**2/7) + x**6*(A*a**3*e**5/6 + 5*A*a**2*b*d*e**4/2 + 5*A*a*b**2*d**2*e**3 + 5*A*b**3*d**3*e**2/3 + 5*B*a**3*d*e**4/6 + 5*B*a**2*b*d**2*e**3 + 5*B*a*b**2*d**3*e**2 + 5*B*b**3*d**4*e/6) + x**5*(A*a**3*d*e**4 + 6*A*a**2*b*d**2*e**3 + 6*A*a*b**2*d**3*e**2 + A*b**3*d**4*e + 2*B*a**3*d**2*e**3 + 6*B*a**2*b*d**3*e**2 + 3*B*a*b**2*d**4*e + B*b**3*d**5/5) + x**4*(5*A*a**3*d**2*e**3/2 + 15*A*a**2*b*d**3*e**2/2 + 15*A*a*b**2*d**4*e/4 + A*b**3*d**5/4 + 5*B*a**3*d**3*e**2/2 + 15*B*a**2*b*d**4*e/4 + 3*B*a*b**2*d**5/4) + x**3*(10*A*a**3*d**3*e**2/3 + 5*A*a**2*b*d**4*e + A*a*b**2*d**5 + 5*B*a**3*d**4*e/3 + B*a**2*b*d**5) + x**2*(5*A*a**3*d**4*e/2 + 3*A*a**2*b*d**5/2 + B*a**3*d**5/2)","B",0
1036,1,546,0,0.141085," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**4,x)","A a^{3} d^{4} x + \frac{B b^{3} e^{4} x^{9}}{9} + x^{8} \left(\frac{A b^{3} e^{4}}{8} + \frac{3 B a b^{2} e^{4}}{8} + \frac{B b^{3} d e^{3}}{2}\right) + x^{7} \left(\frac{3 A a b^{2} e^{4}}{7} + \frac{4 A b^{3} d e^{3}}{7} + \frac{3 B a^{2} b e^{4}}{7} + \frac{12 B a b^{2} d e^{3}}{7} + \frac{6 B b^{3} d^{2} e^{2}}{7}\right) + x^{6} \left(\frac{A a^{2} b e^{4}}{2} + 2 A a b^{2} d e^{3} + A b^{3} d^{2} e^{2} + \frac{B a^{3} e^{4}}{6} + 2 B a^{2} b d e^{3} + 3 B a b^{2} d^{2} e^{2} + \frac{2 B b^{3} d^{3} e}{3}\right) + x^{5} \left(\frac{A a^{3} e^{4}}{5} + \frac{12 A a^{2} b d e^{3}}{5} + \frac{18 A a b^{2} d^{2} e^{2}}{5} + \frac{4 A b^{3} d^{3} e}{5} + \frac{4 B a^{3} d e^{3}}{5} + \frac{18 B a^{2} b d^{2} e^{2}}{5} + \frac{12 B a b^{2} d^{3} e}{5} + \frac{B b^{3} d^{4}}{5}\right) + x^{4} \left(A a^{3} d e^{3} + \frac{9 A a^{2} b d^{2} e^{2}}{2} + 3 A a b^{2} d^{3} e + \frac{A b^{3} d^{4}}{4} + \frac{3 B a^{3} d^{2} e^{2}}{2} + 3 B a^{2} b d^{3} e + \frac{3 B a b^{2} d^{4}}{4}\right) + x^{3} \left(2 A a^{3} d^{2} e^{2} + 4 A a^{2} b d^{3} e + A a b^{2} d^{4} + \frac{4 B a^{3} d^{3} e}{3} + B a^{2} b d^{4}\right) + x^{2} \left(2 A a^{3} d^{3} e + \frac{3 A a^{2} b d^{4}}{2} + \frac{B a^{3} d^{4}}{2}\right)"," ",0,"A*a**3*d**4*x + B*b**3*e**4*x**9/9 + x**8*(A*b**3*e**4/8 + 3*B*a*b**2*e**4/8 + B*b**3*d*e**3/2) + x**7*(3*A*a*b**2*e**4/7 + 4*A*b**3*d*e**3/7 + 3*B*a**2*b*e**4/7 + 12*B*a*b**2*d*e**3/7 + 6*B*b**3*d**2*e**2/7) + x**6*(A*a**2*b*e**4/2 + 2*A*a*b**2*d*e**3 + A*b**3*d**2*e**2 + B*a**3*e**4/6 + 2*B*a**2*b*d*e**3 + 3*B*a*b**2*d**2*e**2 + 2*B*b**3*d**3*e/3) + x**5*(A*a**3*e**4/5 + 12*A*a**2*b*d*e**3/5 + 18*A*a*b**2*d**2*e**2/5 + 4*A*b**3*d**3*e/5 + 4*B*a**3*d*e**3/5 + 18*B*a**2*b*d**2*e**2/5 + 12*B*a*b**2*d**3*e/5 + B*b**3*d**4/5) + x**4*(A*a**3*d*e**3 + 9*A*a**2*b*d**2*e**2/2 + 3*A*a*b**2*d**3*e + A*b**3*d**4/4 + 3*B*a**3*d**2*e**2/2 + 3*B*a**2*b*d**3*e + 3*B*a*b**2*d**4/4) + x**3*(2*A*a**3*d**2*e**2 + 4*A*a**2*b*d**3*e + A*a*b**2*d**4 + 4*B*a**3*d**3*e/3 + B*a**2*b*d**4) + x**2*(2*A*a**3*d**3*e + 3*A*a**2*b*d**4/2 + B*a**3*d**4/2)","B",0
1037,1,422,0,0.126819," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**3,x)","A a^{3} d^{3} x + \frac{B b^{3} e^{3} x^{8}}{8} + x^{7} \left(\frac{A b^{3} e^{3}}{7} + \frac{3 B a b^{2} e^{3}}{7} + \frac{3 B b^{3} d e^{2}}{7}\right) + x^{6} \left(\frac{A a b^{2} e^{3}}{2} + \frac{A b^{3} d e^{2}}{2} + \frac{B a^{2} b e^{3}}{2} + \frac{3 B a b^{2} d e^{2}}{2} + \frac{B b^{3} d^{2} e}{2}\right) + x^{5} \left(\frac{3 A a^{2} b e^{3}}{5} + \frac{9 A a b^{2} d e^{2}}{5} + \frac{3 A b^{3} d^{2} e}{5} + \frac{B a^{3} e^{3}}{5} + \frac{9 B a^{2} b d e^{2}}{5} + \frac{9 B a b^{2} d^{2} e}{5} + \frac{B b^{3} d^{3}}{5}\right) + x^{4} \left(\frac{A a^{3} e^{3}}{4} + \frac{9 A a^{2} b d e^{2}}{4} + \frac{9 A a b^{2} d^{2} e}{4} + \frac{A b^{3} d^{3}}{4} + \frac{3 B a^{3} d e^{2}}{4} + \frac{9 B a^{2} b d^{2} e}{4} + \frac{3 B a b^{2} d^{3}}{4}\right) + x^{3} \left(A a^{3} d e^{2} + 3 A a^{2} b d^{2} e + A a b^{2} d^{3} + B a^{3} d^{2} e + B a^{2} b d^{3}\right) + x^{2} \left(\frac{3 A a^{3} d^{2} e}{2} + \frac{3 A a^{2} b d^{3}}{2} + \frac{B a^{3} d^{3}}{2}\right)"," ",0,"A*a**3*d**3*x + B*b**3*e**3*x**8/8 + x**7*(A*b**3*e**3/7 + 3*B*a*b**2*e**3/7 + 3*B*b**3*d*e**2/7) + x**6*(A*a*b**2*e**3/2 + A*b**3*d*e**2/2 + B*a**2*b*e**3/2 + 3*B*a*b**2*d*e**2/2 + B*b**3*d**2*e/2) + x**5*(3*A*a**2*b*e**3/5 + 9*A*a*b**2*d*e**2/5 + 3*A*b**3*d**2*e/5 + B*a**3*e**3/5 + 9*B*a**2*b*d*e**2/5 + 9*B*a*b**2*d**2*e/5 + B*b**3*d**3/5) + x**4*(A*a**3*e**3/4 + 9*A*a**2*b*d*e**2/4 + 9*A*a*b**2*d**2*e/4 + A*b**3*d**3/4 + 3*B*a**3*d*e**2/4 + 9*B*a**2*b*d**2*e/4 + 3*B*a*b**2*d**3/4) + x**3*(A*a**3*d*e**2 + 3*A*a**2*b*d**2*e + A*a*b**2*d**3 + B*a**3*d**2*e + B*a**2*b*d**3) + x**2*(3*A*a**3*d**2*e/2 + 3*A*a**2*b*d**3/2 + B*a**3*d**3/2)","B",0
1038,1,296,0,0.109838," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**2,x)","A a^{3} d^{2} x + \frac{B b^{3} e^{2} x^{7}}{7} + x^{6} \left(\frac{A b^{3} e^{2}}{6} + \frac{B a b^{2} e^{2}}{2} + \frac{B b^{3} d e}{3}\right) + x^{5} \left(\frac{3 A a b^{2} e^{2}}{5} + \frac{2 A b^{3} d e}{5} + \frac{3 B a^{2} b e^{2}}{5} + \frac{6 B a b^{2} d e}{5} + \frac{B b^{3} d^{2}}{5}\right) + x^{4} \left(\frac{3 A a^{2} b e^{2}}{4} + \frac{3 A a b^{2} d e}{2} + \frac{A b^{3} d^{2}}{4} + \frac{B a^{3} e^{2}}{4} + \frac{3 B a^{2} b d e}{2} + \frac{3 B a b^{2} d^{2}}{4}\right) + x^{3} \left(\frac{A a^{3} e^{2}}{3} + 2 A a^{2} b d e + A a b^{2} d^{2} + \frac{2 B a^{3} d e}{3} + B a^{2} b d^{2}\right) + x^{2} \left(A a^{3} d e + \frac{3 A a^{2} b d^{2}}{2} + \frac{B a^{3} d^{2}}{2}\right)"," ",0,"A*a**3*d**2*x + B*b**3*e**2*x**7/7 + x**6*(A*b**3*e**2/6 + B*a*b**2*e**2/2 + B*b**3*d*e/3) + x**5*(3*A*a*b**2*e**2/5 + 2*A*b**3*d*e/5 + 3*B*a**2*b*e**2/5 + 6*B*a*b**2*d*e/5 + B*b**3*d**2/5) + x**4*(3*A*a**2*b*e**2/4 + 3*A*a*b**2*d*e/2 + A*b**3*d**2/4 + B*a**3*e**2/4 + 3*B*a**2*b*d*e/2 + 3*B*a*b**2*d**2/4) + x**3*(A*a**3*e**2/3 + 2*A*a**2*b*d*e + A*a*b**2*d**2 + 2*B*a**3*d*e/3 + B*a**2*b*d**2) + x**2*(A*a**3*d*e + 3*A*a**2*b*d**2/2 + B*a**3*d**2/2)","B",0
1039,1,168,0,0.090973," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d),x)","A a^{3} d x + \frac{B b^{3} e x^{6}}{6} + x^{5} \left(\frac{A b^{3} e}{5} + \frac{3 B a b^{2} e}{5} + \frac{B b^{3} d}{5}\right) + x^{4} \left(\frac{3 A a b^{2} e}{4} + \frac{A b^{3} d}{4} + \frac{3 B a^{2} b e}{4} + \frac{3 B a b^{2} d}{4}\right) + x^{3} \left(A a^{2} b e + A a b^{2} d + \frac{B a^{3} e}{3} + B a^{2} b d\right) + x^{2} \left(\frac{A a^{3} e}{2} + \frac{3 A a^{2} b d}{2} + \frac{B a^{3} d}{2}\right)"," ",0,"A*a**3*d*x + B*b**3*e*x**6/6 + x**5*(A*b**3*e/5 + 3*B*a*b**2*e/5 + B*b**3*d/5) + x**4*(3*A*a*b**2*e/4 + A*b**3*d/4 + 3*B*a**2*b*e/4 + 3*B*a*b**2*d/4) + x**3*(A*a**2*b*e + A*a*b**2*d + B*a**3*e/3 + B*a**2*b*d) + x**2*(A*a**3*e/2 + 3*A*a**2*b*d/2 + B*a**3*d/2)","B",0
1040,1,73,0,0.079790," ","integrate((b*x+a)**3*(B*x+A),x)","A a^{3} x + \frac{B b^{3} x^{5}}{5} + x^{4} \left(\frac{A b^{3}}{4} + \frac{3 B a b^{2}}{4}\right) + x^{3} \left(A a b^{2} + B a^{2} b\right) + x^{2} \left(\frac{3 A a^{2} b}{2} + \frac{B a^{3}}{2}\right)"," ",0,"A*a**3*x + B*b**3*x**5/5 + x**4*(A*b**3/4 + 3*B*a*b**2/4) + x**3*(A*a*b**2 + B*a**2*b) + x**2*(3*A*a**2*b/2 + B*a**3/2)","B",0
1041,1,221,0,0.679693," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d),x)","\frac{B b^{3} x^{4}}{4 e} + x^{3} \left(\frac{A b^{3}}{3 e} + \frac{B a b^{2}}{e} - \frac{B b^{3} d}{3 e^{2}}\right) + x^{2} \left(\frac{3 A a b^{2}}{2 e} - \frac{A b^{3} d}{2 e^{2}} + \frac{3 B a^{2} b}{2 e} - \frac{3 B a b^{2} d}{2 e^{2}} + \frac{B b^{3} d^{2}}{2 e^{3}}\right) + x \left(\frac{3 A a^{2} b}{e} - \frac{3 A a b^{2} d}{e^{2}} + \frac{A b^{3} d^{2}}{e^{3}} + \frac{B a^{3}}{e} - \frac{3 B a^{2} b d}{e^{2}} + \frac{3 B a b^{2} d^{2}}{e^{3}} - \frac{B b^{3} d^{3}}{e^{4}}\right) - \frac{\left(- A e + B d\right) \left(a e - b d\right)^{3} \log{\left(d + e x \right)}}{e^{5}}"," ",0,"B*b**3*x**4/(4*e) + x**3*(A*b**3/(3*e) + B*a*b**2/e - B*b**3*d/(3*e**2)) + x**2*(3*A*a*b**2/(2*e) - A*b**3*d/(2*e**2) + 3*B*a**2*b/(2*e) - 3*B*a*b**2*d/(2*e**2) + B*b**3*d**2/(2*e**3)) + x*(3*A*a**2*b/e - 3*A*a*b**2*d/e**2 + A*b**3*d**2/e**3 + B*a**3/e - 3*B*a**2*b*d/e**2 + 3*B*a*b**2*d**2/e**3 - B*b**3*d**3/e**4) - (-A*e + B*d)*(a*e - b*d)**3*log(d + e*x)/e**5","B",0
1042,1,257,0,1.582583," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**2,x)","\frac{B b^{3} x^{3}}{3 e^{2}} + x^{2} \left(\frac{A b^{3}}{2 e^{2}} + \frac{3 B a b^{2}}{2 e^{2}} - \frac{B b^{3} d}{e^{3}}\right) + x \left(\frac{3 A a b^{2}}{e^{2}} - \frac{2 A b^{3} d}{e^{3}} + \frac{3 B a^{2} b}{e^{2}} - \frac{6 B a b^{2} d}{e^{3}} + \frac{3 B b^{3} d^{2}}{e^{4}}\right) + \frac{- A a^{3} e^{4} + 3 A a^{2} b d e^{3} - 3 A a b^{2} d^{2} e^{2} + A b^{3} d^{3} e + B a^{3} d e^{3} - 3 B a^{2} b d^{2} e^{2} + 3 B a b^{2} d^{3} e - B b^{3} d^{4}}{d e^{5} + e^{6} x} + \frac{\left(a e - b d\right)^{2} \left(3 A b e + B a e - 4 B b d\right) \log{\left(d + e x \right)}}{e^{5}}"," ",0,"B*b**3*x**3/(3*e**2) + x**2*(A*b**3/(2*e**2) + 3*B*a*b**2/(2*e**2) - B*b**3*d/e**3) + x*(3*A*a*b**2/e**2 - 2*A*b**3*d/e**3 + 3*B*a**2*b/e**2 - 6*B*a*b**2*d/e**3 + 3*B*b**3*d**2/e**4) + (-A*a**3*e**4 + 3*A*a**2*b*d*e**3 - 3*A*a*b**2*d**2*e**2 + A*b**3*d**3*e + B*a**3*d*e**3 - 3*B*a**2*b*d**2*e**2 + 3*B*a*b**2*d**3*e - B*b**3*d**4)/(d*e**5 + e**6*x) + (a*e - b*d)**2*(3*A*b*e + B*a*e - 4*B*b*d)*log(d + e*x)/e**5","A",0
1043,1,299,0,5.087812," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**3,x)","\frac{B b^{3} x^{2}}{2 e^{3}} + \frac{3 b \left(a e - b d\right) \left(A b e + B a e - 2 B b d\right) \log{\left(d + e x \right)}}{e^{5}} + x \left(\frac{A b^{3}}{e^{3}} + \frac{3 B a b^{2}}{e^{3}} - \frac{3 B b^{3} d}{e^{4}}\right) + \frac{- A a^{3} e^{4} - 3 A a^{2} b d e^{3} + 9 A a b^{2} d^{2} e^{2} - 5 A b^{3} d^{3} e - B a^{3} d e^{3} + 9 B a^{2} b d^{2} e^{2} - 15 B a b^{2} d^{3} e + 7 B b^{3} d^{4} + x \left(- 6 A a^{2} b e^{4} + 12 A a b^{2} d e^{3} - 6 A b^{3} d^{2} e^{2} - 2 B a^{3} e^{4} + 12 B a^{2} b d e^{3} - 18 B a b^{2} d^{2} e^{2} + 8 B b^{3} d^{3} e\right)}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}}"," ",0,"B*b**3*x**2/(2*e**3) + 3*b*(a*e - b*d)*(A*b*e + B*a*e - 2*B*b*d)*log(d + e*x)/e**5 + x*(A*b**3/e**3 + 3*B*a*b**2/e**3 - 3*B*b**3*d/e**4) + (-A*a**3*e**4 - 3*A*a**2*b*d*e**3 + 9*A*a*b**2*d**2*e**2 - 5*A*b**3*d**3*e - B*a**3*d*e**3 + 9*B*a**2*b*d**2*e**2 - 15*B*a*b**2*d**3*e + 7*B*b**3*d**4 + x*(-6*A*a**2*b*e**4 + 12*A*a*b**2*d*e**3 - 6*A*b**3*d**2*e**2 - 2*B*a**3*e**4 + 12*B*a**2*b*d*e**3 - 18*B*a*b**2*d**2*e**2 + 8*B*b**3*d**3*e))/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2)","B",0
1044,1,337,0,14.195841," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**4,x)","\frac{B b^{3} x}{e^{4}} + \frac{b^{2} \left(A b e + 3 B a e - 4 B b d\right) \log{\left(d + e x \right)}}{e^{5}} + \frac{- 2 A a^{3} e^{4} - 3 A a^{2} b d e^{3} - 6 A a b^{2} d^{2} e^{2} + 11 A b^{3} d^{3} e - B a^{3} d e^{3} - 6 B a^{2} b d^{2} e^{2} + 33 B a b^{2} d^{3} e - 26 B b^{3} d^{4} + x^{2} \left(- 18 A a b^{2} e^{4} + 18 A b^{3} d e^{3} - 18 B a^{2} b e^{4} + 54 B a b^{2} d e^{3} - 36 B b^{3} d^{2} e^{2}\right) + x \left(- 9 A a^{2} b e^{4} - 18 A a b^{2} d e^{3} + 27 A b^{3} d^{2} e^{2} - 3 B a^{3} e^{4} - 18 B a^{2} b d e^{3} + 81 B a b^{2} d^{2} e^{2} - 60 B b^{3} d^{3} e\right)}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}}"," ",0,"B*b**3*x/e**4 + b**2*(A*b*e + 3*B*a*e - 4*B*b*d)*log(d + e*x)/e**5 + (-2*A*a**3*e**4 - 3*A*a**2*b*d*e**3 - 6*A*a*b**2*d**2*e**2 + 11*A*b**3*d**3*e - B*a**3*d*e**3 - 6*B*a**2*b*d**2*e**2 + 33*B*a*b**2*d**3*e - 26*B*b**3*d**4 + x**2*(-18*A*a*b**2*e**4 + 18*A*b**3*d*e**3 - 18*B*a**2*b*e**4 + 54*B*a*b**2*d*e**3 - 36*B*b**3*d**2*e**2) + x*(-9*A*a**2*b*e**4 - 18*A*a*b**2*d*e**3 + 27*A*b**3*d**2*e**2 - 3*B*a**3*e**4 - 18*B*a**2*b*d*e**3 + 81*B*a*b**2*d**2*e**2 - 60*B*b**3*d**3*e))/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3)","B",0
1045,1,359,0,32.191420," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**5,x)","\frac{B b^{3} \log{\left(d + e x \right)}}{e^{5}} + \frac{- 3 A a^{3} e^{4} - 3 A a^{2} b d e^{3} - 3 A a b^{2} d^{2} e^{2} - 3 A b^{3} d^{3} e - B a^{3} d e^{3} - 3 B a^{2} b d^{2} e^{2} - 9 B a b^{2} d^{3} e + 25 B b^{3} d^{4} + x^{3} \left(- 12 A b^{3} e^{4} - 36 B a b^{2} e^{4} + 48 B b^{3} d e^{3}\right) + x^{2} \left(- 18 A a b^{2} e^{4} - 18 A b^{3} d e^{3} - 18 B a^{2} b e^{4} - 54 B a b^{2} d e^{3} + 108 B b^{3} d^{2} e^{2}\right) + x \left(- 12 A a^{2} b e^{4} - 12 A a b^{2} d e^{3} - 12 A b^{3} d^{2} e^{2} - 4 B a^{3} e^{4} - 12 B a^{2} b d e^{3} - 36 B a b^{2} d^{2} e^{2} + 88 B b^{3} d^{3} e\right)}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}}"," ",0,"B*b**3*log(d + e*x)/e**5 + (-3*A*a**3*e**4 - 3*A*a**2*b*d*e**3 - 3*A*a*b**2*d**2*e**2 - 3*A*b**3*d**3*e - B*a**3*d*e**3 - 3*B*a**2*b*d**2*e**2 - 9*B*a*b**2*d**3*e + 25*B*b**3*d**4 + x**3*(-12*A*b**3*e**4 - 36*B*a*b**2*e**4 + 48*B*b**3*d*e**3) + x**2*(-18*A*a*b**2*e**4 - 18*A*b**3*d*e**3 - 18*B*a**2*b*e**4 - 54*B*a*b**2*d*e**3 + 108*B*b**3*d**2*e**2) + x*(-12*A*a**2*b*e**4 - 12*A*a*b**2*d*e**3 - 12*A*b**3*d**2*e**2 - 4*B*a**3*e**4 - 12*B*a**2*b*d*e**3 - 36*B*a*b**2*d**2*e**2 + 88*B*b**3*d**3*e))/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4)","B",0
1046,1,372,0,68.783938," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**6,x)","\frac{- 4 A a^{3} e^{4} - 3 A a^{2} b d e^{3} - 2 A a b^{2} d^{2} e^{2} - A b^{3} d^{3} e - B a^{3} d e^{3} - 2 B a^{2} b d^{2} e^{2} - 3 B a b^{2} d^{3} e - 4 B b^{3} d^{4} - 20 B b^{3} e^{4} x^{4} + x^{3} \left(- 10 A b^{3} e^{4} - 30 B a b^{2} e^{4} - 40 B b^{3} d e^{3}\right) + x^{2} \left(- 20 A a b^{2} e^{4} - 10 A b^{3} d e^{3} - 20 B a^{2} b e^{4} - 30 B a b^{2} d e^{3} - 40 B b^{3} d^{2} e^{2}\right) + x \left(- 15 A a^{2} b e^{4} - 10 A a b^{2} d e^{3} - 5 A b^{3} d^{2} e^{2} - 5 B a^{3} e^{4} - 10 B a^{2} b d e^{3} - 15 B a b^{2} d^{2} e^{2} - 20 B b^{3} d^{3} e\right)}{20 d^{5} e^{5} + 100 d^{4} e^{6} x + 200 d^{3} e^{7} x^{2} + 200 d^{2} e^{8} x^{3} + 100 d e^{9} x^{4} + 20 e^{10} x^{5}}"," ",0,"(-4*A*a**3*e**4 - 3*A*a**2*b*d*e**3 - 2*A*a*b**2*d**2*e**2 - A*b**3*d**3*e - B*a**3*d*e**3 - 2*B*a**2*b*d**2*e**2 - 3*B*a*b**2*d**3*e - 4*B*b**3*d**4 - 20*B*b**3*e**4*x**4 + x**3*(-10*A*b**3*e**4 - 30*B*a*b**2*e**4 - 40*B*b**3*d*e**3) + x**2*(-20*A*a*b**2*e**4 - 10*A*b**3*d*e**3 - 20*B*a**2*b*e**4 - 30*B*a*b**2*d*e**3 - 40*B*b**3*d**2*e**2) + x*(-15*A*a**2*b*e**4 - 10*A*a*b**2*d*e**3 - 5*A*b**3*d**2*e**2 - 5*B*a**3*e**4 - 10*B*a**2*b*d*e**3 - 15*B*a*b**2*d**2*e**2 - 20*B*b**3*d**3*e))/(20*d**5*e**5 + 100*d**4*e**6*x + 200*d**3*e**7*x**2 + 200*d**2*e**8*x**3 + 100*d*e**9*x**4 + 20*e**10*x**5)","B",0
1047,1,386,0,157.681418," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**7,x)","\frac{- 10 A a^{3} e^{4} - 6 A a^{2} b d e^{3} - 3 A a b^{2} d^{2} e^{2} - A b^{3} d^{3} e - 2 B a^{3} d e^{3} - 3 B a^{2} b d^{2} e^{2} - 3 B a b^{2} d^{3} e - 2 B b^{3} d^{4} - 30 B b^{3} e^{4} x^{4} + x^{3} \left(- 20 A b^{3} e^{4} - 60 B a b^{2} e^{4} - 40 B b^{3} d e^{3}\right) + x^{2} \left(- 45 A a b^{2} e^{4} - 15 A b^{3} d e^{3} - 45 B a^{2} b e^{4} - 45 B a b^{2} d e^{3} - 30 B b^{3} d^{2} e^{2}\right) + x \left(- 36 A a^{2} b e^{4} - 18 A a b^{2} d e^{3} - 6 A b^{3} d^{2} e^{2} - 12 B a^{3} e^{4} - 18 B a^{2} b d e^{3} - 18 B a b^{2} d^{2} e^{2} - 12 B b^{3} d^{3} e\right)}{60 d^{6} e^{5} + 360 d^{5} e^{6} x + 900 d^{4} e^{7} x^{2} + 1200 d^{3} e^{8} x^{3} + 900 d^{2} e^{9} x^{4} + 360 d e^{10} x^{5} + 60 e^{11} x^{6}}"," ",0,"(-10*A*a**3*e**4 - 6*A*a**2*b*d*e**3 - 3*A*a*b**2*d**2*e**2 - A*b**3*d**3*e - 2*B*a**3*d*e**3 - 3*B*a**2*b*d**2*e**2 - 3*B*a*b**2*d**3*e - 2*B*b**3*d**4 - 30*B*b**3*e**4*x**4 + x**3*(-20*A*b**3*e**4 - 60*B*a*b**2*e**4 - 40*B*b**3*d*e**3) + x**2*(-45*A*a*b**2*e**4 - 15*A*b**3*d*e**3 - 45*B*a**2*b*e**4 - 45*B*a*b**2*d*e**3 - 30*B*b**3*d**2*e**2) + x*(-36*A*a**2*b*e**4 - 18*A*a*b**2*d*e**3 - 6*A*b**3*d**2*e**2 - 12*B*a**3*e**4 - 18*B*a**2*b*d*e**3 - 18*B*a*b**2*d**2*e**2 - 12*B*b**3*d**3*e))/(60*d**6*e**5 + 360*d**5*e**6*x + 900*d**4*e**7*x**2 + 1200*d**3*e**8*x**3 + 900*d**2*e**9*x**4 + 360*d*e**10*x**5 + 60*e**11*x**6)","B",0
1048,-1,0,0,0.000000," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1049,-1,0,0,0.000000," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1050,-1,0,0,0.000000," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1051,1,1969,0,0.343028," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d)**8,x)","A a^{6} d^{8} x + \frac{B b^{6} e^{8} x^{16}}{16} + x^{15} \left(\frac{A b^{6} e^{8}}{15} + \frac{2 B a b^{5} e^{8}}{5} + \frac{8 B b^{6} d e^{7}}{15}\right) + x^{14} \left(\frac{3 A a b^{5} e^{8}}{7} + \frac{4 A b^{6} d e^{7}}{7} + \frac{15 B a^{2} b^{4} e^{8}}{14} + \frac{24 B a b^{5} d e^{7}}{7} + 2 B b^{6} d^{2} e^{6}\right) + x^{13} \left(\frac{15 A a^{2} b^{4} e^{8}}{13} + \frac{48 A a b^{5} d e^{7}}{13} + \frac{28 A b^{6} d^{2} e^{6}}{13} + \frac{20 B a^{3} b^{3} e^{8}}{13} + \frac{120 B a^{2} b^{4} d e^{7}}{13} + \frac{168 B a b^{5} d^{2} e^{6}}{13} + \frac{56 B b^{6} d^{3} e^{5}}{13}\right) + x^{12} \left(\frac{5 A a^{3} b^{3} e^{8}}{3} + 10 A a^{2} b^{4} d e^{7} + 14 A a b^{5} d^{2} e^{6} + \frac{14 A b^{6} d^{3} e^{5}}{3} + \frac{5 B a^{4} b^{2} e^{8}}{4} + \frac{40 B a^{3} b^{3} d e^{7}}{3} + 35 B a^{2} b^{4} d^{2} e^{6} + 28 B a b^{5} d^{3} e^{5} + \frac{35 B b^{6} d^{4} e^{4}}{6}\right) + x^{11} \left(\frac{15 A a^{4} b^{2} e^{8}}{11} + \frac{160 A a^{3} b^{3} d e^{7}}{11} + \frac{420 A a^{2} b^{4} d^{2} e^{6}}{11} + \frac{336 A a b^{5} d^{3} e^{5}}{11} + \frac{70 A b^{6} d^{4} e^{4}}{11} + \frac{6 B a^{5} b e^{8}}{11} + \frac{120 B a^{4} b^{2} d e^{7}}{11} + \frac{560 B a^{3} b^{3} d^{2} e^{6}}{11} + \frac{840 B a^{2} b^{4} d^{3} e^{5}}{11} + \frac{420 B a b^{5} d^{4} e^{4}}{11} + \frac{56 B b^{6} d^{5} e^{3}}{11}\right) + x^{10} \left(\frac{3 A a^{5} b e^{8}}{5} + 12 A a^{4} b^{2} d e^{7} + 56 A a^{3} b^{3} d^{2} e^{6} + 84 A a^{2} b^{4} d^{3} e^{5} + 42 A a b^{5} d^{4} e^{4} + \frac{28 A b^{6} d^{5} e^{3}}{5} + \frac{B a^{6} e^{8}}{10} + \frac{24 B a^{5} b d e^{7}}{5} + 42 B a^{4} b^{2} d^{2} e^{6} + 112 B a^{3} b^{3} d^{3} e^{5} + 105 B a^{2} b^{4} d^{4} e^{4} + \frac{168 B a b^{5} d^{5} e^{3}}{5} + \frac{14 B b^{6} d^{6} e^{2}}{5}\right) + x^{9} \left(\frac{A a^{6} e^{8}}{9} + \frac{16 A a^{5} b d e^{7}}{3} + \frac{140 A a^{4} b^{2} d^{2} e^{6}}{3} + \frac{1120 A a^{3} b^{3} d^{3} e^{5}}{9} + \frac{350 A a^{2} b^{4} d^{4} e^{4}}{3} + \frac{112 A a b^{5} d^{5} e^{3}}{3} + \frac{28 A b^{6} d^{6} e^{2}}{9} + \frac{8 B a^{6} d e^{7}}{9} + \frac{56 B a^{5} b d^{2} e^{6}}{3} + \frac{280 B a^{4} b^{2} d^{3} e^{5}}{3} + \frac{1400 B a^{3} b^{3} d^{4} e^{4}}{9} + \frac{280 B a^{2} b^{4} d^{5} e^{3}}{3} + \frac{56 B a b^{5} d^{6} e^{2}}{3} + \frac{8 B b^{6} d^{7} e}{9}\right) + x^{8} \left(A a^{6} d e^{7} + 21 A a^{5} b d^{2} e^{6} + 105 A a^{4} b^{2} d^{3} e^{5} + 175 A a^{3} b^{3} d^{4} e^{4} + 105 A a^{2} b^{4} d^{5} e^{3} + 21 A a b^{5} d^{6} e^{2} + A b^{6} d^{7} e + \frac{7 B a^{6} d^{2} e^{6}}{2} + 42 B a^{5} b d^{3} e^{5} + \frac{525 B a^{4} b^{2} d^{4} e^{4}}{4} + 140 B a^{3} b^{3} d^{5} e^{3} + \frac{105 B a^{2} b^{4} d^{6} e^{2}}{2} + 6 B a b^{5} d^{7} e + \frac{B b^{6} d^{8}}{8}\right) + x^{7} \left(4 A a^{6} d^{2} e^{6} + 48 A a^{5} b d^{3} e^{5} + 150 A a^{4} b^{2} d^{4} e^{4} + 160 A a^{3} b^{3} d^{5} e^{3} + 60 A a^{2} b^{4} d^{6} e^{2} + \frac{48 A a b^{5} d^{7} e}{7} + \frac{A b^{6} d^{8}}{7} + 8 B a^{6} d^{3} e^{5} + 60 B a^{5} b d^{4} e^{4} + 120 B a^{4} b^{2} d^{5} e^{3} + 80 B a^{3} b^{3} d^{6} e^{2} + \frac{120 B a^{2} b^{4} d^{7} e}{7} + \frac{6 B a b^{5} d^{8}}{7}\right) + x^{6} \left(\frac{28 A a^{6} d^{3} e^{5}}{3} + 70 A a^{5} b d^{4} e^{4} + 140 A a^{4} b^{2} d^{5} e^{3} + \frac{280 A a^{3} b^{3} d^{6} e^{2}}{3} + 20 A a^{2} b^{4} d^{7} e + A a b^{5} d^{8} + \frac{35 B a^{6} d^{4} e^{4}}{3} + 56 B a^{5} b d^{5} e^{3} + 70 B a^{4} b^{2} d^{6} e^{2} + \frac{80 B a^{3} b^{3} d^{7} e}{3} + \frac{5 B a^{2} b^{4} d^{8}}{2}\right) + x^{5} \left(14 A a^{6} d^{4} e^{4} + \frac{336 A a^{5} b d^{5} e^{3}}{5} + 84 A a^{4} b^{2} d^{6} e^{2} + 32 A a^{3} b^{3} d^{7} e + 3 A a^{2} b^{4} d^{8} + \frac{56 B a^{6} d^{5} e^{3}}{5} + \frac{168 B a^{5} b d^{6} e^{2}}{5} + 24 B a^{4} b^{2} d^{7} e + 4 B a^{3} b^{3} d^{8}\right) + x^{4} \left(14 A a^{6} d^{5} e^{3} + 42 A a^{5} b d^{6} e^{2} + 30 A a^{4} b^{2} d^{7} e + 5 A a^{3} b^{3} d^{8} + 7 B a^{6} d^{6} e^{2} + 12 B a^{5} b d^{7} e + \frac{15 B a^{4} b^{2} d^{8}}{4}\right) + x^{3} \left(\frac{28 A a^{6} d^{6} e^{2}}{3} + 16 A a^{5} b d^{7} e + 5 A a^{4} b^{2} d^{8} + \frac{8 B a^{6} d^{7} e}{3} + 2 B a^{5} b d^{8}\right) + x^{2} \left(4 A a^{6} d^{7} e + 3 A a^{5} b d^{8} + \frac{B a^{6} d^{8}}{2}\right)"," ",0,"A*a**6*d**8*x + B*b**6*e**8*x**16/16 + x**15*(A*b**6*e**8/15 + 2*B*a*b**5*e**8/5 + 8*B*b**6*d*e**7/15) + x**14*(3*A*a*b**5*e**8/7 + 4*A*b**6*d*e**7/7 + 15*B*a**2*b**4*e**8/14 + 24*B*a*b**5*d*e**7/7 + 2*B*b**6*d**2*e**6) + x**13*(15*A*a**2*b**4*e**8/13 + 48*A*a*b**5*d*e**7/13 + 28*A*b**6*d**2*e**6/13 + 20*B*a**3*b**3*e**8/13 + 120*B*a**2*b**4*d*e**7/13 + 168*B*a*b**5*d**2*e**6/13 + 56*B*b**6*d**3*e**5/13) + x**12*(5*A*a**3*b**3*e**8/3 + 10*A*a**2*b**4*d*e**7 + 14*A*a*b**5*d**2*e**6 + 14*A*b**6*d**3*e**5/3 + 5*B*a**4*b**2*e**8/4 + 40*B*a**3*b**3*d*e**7/3 + 35*B*a**2*b**4*d**2*e**6 + 28*B*a*b**5*d**3*e**5 + 35*B*b**6*d**4*e**4/6) + x**11*(15*A*a**4*b**2*e**8/11 + 160*A*a**3*b**3*d*e**7/11 + 420*A*a**2*b**4*d**2*e**6/11 + 336*A*a*b**5*d**3*e**5/11 + 70*A*b**6*d**4*e**4/11 + 6*B*a**5*b*e**8/11 + 120*B*a**4*b**2*d*e**7/11 + 560*B*a**3*b**3*d**2*e**6/11 + 840*B*a**2*b**4*d**3*e**5/11 + 420*B*a*b**5*d**4*e**4/11 + 56*B*b**6*d**5*e**3/11) + x**10*(3*A*a**5*b*e**8/5 + 12*A*a**4*b**2*d*e**7 + 56*A*a**3*b**3*d**2*e**6 + 84*A*a**2*b**4*d**3*e**5 + 42*A*a*b**5*d**4*e**4 + 28*A*b**6*d**5*e**3/5 + B*a**6*e**8/10 + 24*B*a**5*b*d*e**7/5 + 42*B*a**4*b**2*d**2*e**6 + 112*B*a**3*b**3*d**3*e**5 + 105*B*a**2*b**4*d**4*e**4 + 168*B*a*b**5*d**5*e**3/5 + 14*B*b**6*d**6*e**2/5) + x**9*(A*a**6*e**8/9 + 16*A*a**5*b*d*e**7/3 + 140*A*a**4*b**2*d**2*e**6/3 + 1120*A*a**3*b**3*d**3*e**5/9 + 350*A*a**2*b**4*d**4*e**4/3 + 112*A*a*b**5*d**5*e**3/3 + 28*A*b**6*d**6*e**2/9 + 8*B*a**6*d*e**7/9 + 56*B*a**5*b*d**2*e**6/3 + 280*B*a**4*b**2*d**3*e**5/3 + 1400*B*a**3*b**3*d**4*e**4/9 + 280*B*a**2*b**4*d**5*e**3/3 + 56*B*a*b**5*d**6*e**2/3 + 8*B*b**6*d**7*e/9) + x**8*(A*a**6*d*e**7 + 21*A*a**5*b*d**2*e**6 + 105*A*a**4*b**2*d**3*e**5 + 175*A*a**3*b**3*d**4*e**4 + 105*A*a**2*b**4*d**5*e**3 + 21*A*a*b**5*d**6*e**2 + A*b**6*d**7*e + 7*B*a**6*d**2*e**6/2 + 42*B*a**5*b*d**3*e**5 + 525*B*a**4*b**2*d**4*e**4/4 + 140*B*a**3*b**3*d**5*e**3 + 105*B*a**2*b**4*d**6*e**2/2 + 6*B*a*b**5*d**7*e + B*b**6*d**8/8) + x**7*(4*A*a**6*d**2*e**6 + 48*A*a**5*b*d**3*e**5 + 150*A*a**4*b**2*d**4*e**4 + 160*A*a**3*b**3*d**5*e**3 + 60*A*a**2*b**4*d**6*e**2 + 48*A*a*b**5*d**7*e/7 + A*b**6*d**8/7 + 8*B*a**6*d**3*e**5 + 60*B*a**5*b*d**4*e**4 + 120*B*a**4*b**2*d**5*e**3 + 80*B*a**3*b**3*d**6*e**2 + 120*B*a**2*b**4*d**7*e/7 + 6*B*a*b**5*d**8/7) + x**6*(28*A*a**6*d**3*e**5/3 + 70*A*a**5*b*d**4*e**4 + 140*A*a**4*b**2*d**5*e**3 + 280*A*a**3*b**3*d**6*e**2/3 + 20*A*a**2*b**4*d**7*e + A*a*b**5*d**8 + 35*B*a**6*d**4*e**4/3 + 56*B*a**5*b*d**5*e**3 + 70*B*a**4*b**2*d**6*e**2 + 80*B*a**3*b**3*d**7*e/3 + 5*B*a**2*b**4*d**8/2) + x**5*(14*A*a**6*d**4*e**4 + 336*A*a**5*b*d**5*e**3/5 + 84*A*a**4*b**2*d**6*e**2 + 32*A*a**3*b**3*d**7*e + 3*A*a**2*b**4*d**8 + 56*B*a**6*d**5*e**3/5 + 168*B*a**5*b*d**6*e**2/5 + 24*B*a**4*b**2*d**7*e + 4*B*a**3*b**3*d**8) + x**4*(14*A*a**6*d**5*e**3 + 42*A*a**5*b*d**6*e**2 + 30*A*a**4*b**2*d**7*e + 5*A*a**3*b**3*d**8 + 7*B*a**6*d**6*e**2 + 12*B*a**5*b*d**7*e + 15*B*a**4*b**2*d**8/4) + x**3*(28*A*a**6*d**6*e**2/3 + 16*A*a**5*b*d**7*e + 5*A*a**4*b**2*d**8 + 8*B*a**6*d**7*e/3 + 2*B*a**5*b*d**8) + x**2*(4*A*a**6*d**7*e + 3*A*a**5*b*d**8 + B*a**6*d**8/2)","B",0
1052,1,1756,0,0.286180," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d)**7,x)","A a^{6} d^{7} x + \frac{B b^{6} e^{7} x^{15}}{15} + x^{14} \left(\frac{A b^{6} e^{7}}{14} + \frac{3 B a b^{5} e^{7}}{7} + \frac{B b^{6} d e^{6}}{2}\right) + x^{13} \left(\frac{6 A a b^{5} e^{7}}{13} + \frac{7 A b^{6} d e^{6}}{13} + \frac{15 B a^{2} b^{4} e^{7}}{13} + \frac{42 B a b^{5} d e^{6}}{13} + \frac{21 B b^{6} d^{2} e^{5}}{13}\right) + x^{12} \left(\frac{5 A a^{2} b^{4} e^{7}}{4} + \frac{7 A a b^{5} d e^{6}}{2} + \frac{7 A b^{6} d^{2} e^{5}}{4} + \frac{5 B a^{3} b^{3} e^{7}}{3} + \frac{35 B a^{2} b^{4} d e^{6}}{4} + \frac{21 B a b^{5} d^{2} e^{5}}{2} + \frac{35 B b^{6} d^{3} e^{4}}{12}\right) + x^{11} \left(\frac{20 A a^{3} b^{3} e^{7}}{11} + \frac{105 A a^{2} b^{4} d e^{6}}{11} + \frac{126 A a b^{5} d^{2} e^{5}}{11} + \frac{35 A b^{6} d^{3} e^{4}}{11} + \frac{15 B a^{4} b^{2} e^{7}}{11} + \frac{140 B a^{3} b^{3} d e^{6}}{11} + \frac{315 B a^{2} b^{4} d^{2} e^{5}}{11} + \frac{210 B a b^{5} d^{3} e^{4}}{11} + \frac{35 B b^{6} d^{4} e^{3}}{11}\right) + x^{10} \left(\frac{3 A a^{4} b^{2} e^{7}}{2} + 14 A a^{3} b^{3} d e^{6} + \frac{63 A a^{2} b^{4} d^{2} e^{5}}{2} + 21 A a b^{5} d^{3} e^{4} + \frac{7 A b^{6} d^{4} e^{3}}{2} + \frac{3 B a^{5} b e^{7}}{5} + \frac{21 B a^{4} b^{2} d e^{6}}{2} + 42 B a^{3} b^{3} d^{2} e^{5} + \frac{105 B a^{2} b^{4} d^{3} e^{4}}{2} + 21 B a b^{5} d^{4} e^{3} + \frac{21 B b^{6} d^{5} e^{2}}{10}\right) + x^{9} \left(\frac{2 A a^{5} b e^{7}}{3} + \frac{35 A a^{4} b^{2} d e^{6}}{3} + \frac{140 A a^{3} b^{3} d^{2} e^{5}}{3} + \frac{175 A a^{2} b^{4} d^{3} e^{4}}{3} + \frac{70 A a b^{5} d^{4} e^{3}}{3} + \frac{7 A b^{6} d^{5} e^{2}}{3} + \frac{B a^{6} e^{7}}{9} + \frac{14 B a^{5} b d e^{6}}{3} + 35 B a^{4} b^{2} d^{2} e^{5} + \frac{700 B a^{3} b^{3} d^{3} e^{4}}{9} + \frac{175 B a^{2} b^{4} d^{4} e^{3}}{3} + 14 B a b^{5} d^{5} e^{2} + \frac{7 B b^{6} d^{6} e}{9}\right) + x^{8} \left(\frac{A a^{6} e^{7}}{8} + \frac{21 A a^{5} b d e^{6}}{4} + \frac{315 A a^{4} b^{2} d^{2} e^{5}}{8} + \frac{175 A a^{3} b^{3} d^{3} e^{4}}{2} + \frac{525 A a^{2} b^{4} d^{4} e^{3}}{8} + \frac{63 A a b^{5} d^{5} e^{2}}{4} + \frac{7 A b^{6} d^{6} e}{8} + \frac{7 B a^{6} d e^{6}}{8} + \frac{63 B a^{5} b d^{2} e^{5}}{4} + \frac{525 B a^{4} b^{2} d^{3} e^{4}}{8} + \frac{175 B a^{3} b^{3} d^{4} e^{3}}{2} + \frac{315 B a^{2} b^{4} d^{5} e^{2}}{8} + \frac{21 B a b^{5} d^{6} e}{4} + \frac{B b^{6} d^{7}}{8}\right) + x^{7} \left(A a^{6} d e^{6} + 18 A a^{5} b d^{2} e^{5} + 75 A a^{4} b^{2} d^{3} e^{4} + 100 A a^{3} b^{3} d^{4} e^{3} + 45 A a^{2} b^{4} d^{5} e^{2} + 6 A a b^{5} d^{6} e + \frac{A b^{6} d^{7}}{7} + 3 B a^{6} d^{2} e^{5} + 30 B a^{5} b d^{3} e^{4} + 75 B a^{4} b^{2} d^{4} e^{3} + 60 B a^{3} b^{3} d^{5} e^{2} + 15 B a^{2} b^{4} d^{6} e + \frac{6 B a b^{5} d^{7}}{7}\right) + x^{6} \left(\frac{7 A a^{6} d^{2} e^{5}}{2} + 35 A a^{5} b d^{3} e^{4} + \frac{175 A a^{4} b^{2} d^{4} e^{3}}{2} + 70 A a^{3} b^{3} d^{5} e^{2} + \frac{35 A a^{2} b^{4} d^{6} e}{2} + A a b^{5} d^{7} + \frac{35 B a^{6} d^{3} e^{4}}{6} + 35 B a^{5} b d^{4} e^{3} + \frac{105 B a^{4} b^{2} d^{5} e^{2}}{2} + \frac{70 B a^{3} b^{3} d^{6} e}{3} + \frac{5 B a^{2} b^{4} d^{7}}{2}\right) + x^{5} \left(7 A a^{6} d^{3} e^{4} + 42 A a^{5} b d^{4} e^{3} + 63 A a^{4} b^{2} d^{5} e^{2} + 28 A a^{3} b^{3} d^{6} e + 3 A a^{2} b^{4} d^{7} + 7 B a^{6} d^{4} e^{3} + \frac{126 B a^{5} b d^{5} e^{2}}{5} + 21 B a^{4} b^{2} d^{6} e + 4 B a^{3} b^{3} d^{7}\right) + x^{4} \left(\frac{35 A a^{6} d^{4} e^{3}}{4} + \frac{63 A a^{5} b d^{5} e^{2}}{2} + \frac{105 A a^{4} b^{2} d^{6} e}{4} + 5 A a^{3} b^{3} d^{7} + \frac{21 B a^{6} d^{5} e^{2}}{4} + \frac{21 B a^{5} b d^{6} e}{2} + \frac{15 B a^{4} b^{2} d^{7}}{4}\right) + x^{3} \left(7 A a^{6} d^{5} e^{2} + 14 A a^{5} b d^{6} e + 5 A a^{4} b^{2} d^{7} + \frac{7 B a^{6} d^{6} e}{3} + 2 B a^{5} b d^{7}\right) + x^{2} \left(\frac{7 A a^{6} d^{6} e}{2} + 3 A a^{5} b d^{7} + \frac{B a^{6} d^{7}}{2}\right)"," ",0,"A*a**6*d**7*x + B*b**6*e**7*x**15/15 + x**14*(A*b**6*e**7/14 + 3*B*a*b**5*e**7/7 + B*b**6*d*e**6/2) + x**13*(6*A*a*b**5*e**7/13 + 7*A*b**6*d*e**6/13 + 15*B*a**2*b**4*e**7/13 + 42*B*a*b**5*d*e**6/13 + 21*B*b**6*d**2*e**5/13) + x**12*(5*A*a**2*b**4*e**7/4 + 7*A*a*b**5*d*e**6/2 + 7*A*b**6*d**2*e**5/4 + 5*B*a**3*b**3*e**7/3 + 35*B*a**2*b**4*d*e**6/4 + 21*B*a*b**5*d**2*e**5/2 + 35*B*b**6*d**3*e**4/12) + x**11*(20*A*a**3*b**3*e**7/11 + 105*A*a**2*b**4*d*e**6/11 + 126*A*a*b**5*d**2*e**5/11 + 35*A*b**6*d**3*e**4/11 + 15*B*a**4*b**2*e**7/11 + 140*B*a**3*b**3*d*e**6/11 + 315*B*a**2*b**4*d**2*e**5/11 + 210*B*a*b**5*d**3*e**4/11 + 35*B*b**6*d**4*e**3/11) + x**10*(3*A*a**4*b**2*e**7/2 + 14*A*a**3*b**3*d*e**6 + 63*A*a**2*b**4*d**2*e**5/2 + 21*A*a*b**5*d**3*e**4 + 7*A*b**6*d**4*e**3/2 + 3*B*a**5*b*e**7/5 + 21*B*a**4*b**2*d*e**6/2 + 42*B*a**3*b**3*d**2*e**5 + 105*B*a**2*b**4*d**3*e**4/2 + 21*B*a*b**5*d**4*e**3 + 21*B*b**6*d**5*e**2/10) + x**9*(2*A*a**5*b*e**7/3 + 35*A*a**4*b**2*d*e**6/3 + 140*A*a**3*b**3*d**2*e**5/3 + 175*A*a**2*b**4*d**3*e**4/3 + 70*A*a*b**5*d**4*e**3/3 + 7*A*b**6*d**5*e**2/3 + B*a**6*e**7/9 + 14*B*a**5*b*d*e**6/3 + 35*B*a**4*b**2*d**2*e**5 + 700*B*a**3*b**3*d**3*e**4/9 + 175*B*a**2*b**4*d**4*e**3/3 + 14*B*a*b**5*d**5*e**2 + 7*B*b**6*d**6*e/9) + x**8*(A*a**6*e**7/8 + 21*A*a**5*b*d*e**6/4 + 315*A*a**4*b**2*d**2*e**5/8 + 175*A*a**3*b**3*d**3*e**4/2 + 525*A*a**2*b**4*d**4*e**3/8 + 63*A*a*b**5*d**5*e**2/4 + 7*A*b**6*d**6*e/8 + 7*B*a**6*d*e**6/8 + 63*B*a**5*b*d**2*e**5/4 + 525*B*a**4*b**2*d**3*e**4/8 + 175*B*a**3*b**3*d**4*e**3/2 + 315*B*a**2*b**4*d**5*e**2/8 + 21*B*a*b**5*d**6*e/4 + B*b**6*d**7/8) + x**7*(A*a**6*d*e**6 + 18*A*a**5*b*d**2*e**5 + 75*A*a**4*b**2*d**3*e**4 + 100*A*a**3*b**3*d**4*e**3 + 45*A*a**2*b**4*d**5*e**2 + 6*A*a*b**5*d**6*e + A*b**6*d**7/7 + 3*B*a**6*d**2*e**5 + 30*B*a**5*b*d**3*e**4 + 75*B*a**4*b**2*d**4*e**3 + 60*B*a**3*b**3*d**5*e**2 + 15*B*a**2*b**4*d**6*e + 6*B*a*b**5*d**7/7) + x**6*(7*A*a**6*d**2*e**5/2 + 35*A*a**5*b*d**3*e**4 + 175*A*a**4*b**2*d**4*e**3/2 + 70*A*a**3*b**3*d**5*e**2 + 35*A*a**2*b**4*d**6*e/2 + A*a*b**5*d**7 + 35*B*a**6*d**3*e**4/6 + 35*B*a**5*b*d**4*e**3 + 105*B*a**4*b**2*d**5*e**2/2 + 70*B*a**3*b**3*d**6*e/3 + 5*B*a**2*b**4*d**7/2) + x**5*(7*A*a**6*d**3*e**4 + 42*A*a**5*b*d**4*e**3 + 63*A*a**4*b**2*d**5*e**2 + 28*A*a**3*b**3*d**6*e + 3*A*a**2*b**4*d**7 + 7*B*a**6*d**4*e**3 + 126*B*a**5*b*d**5*e**2/5 + 21*B*a**4*b**2*d**6*e + 4*B*a**3*b**3*d**7) + x**4*(35*A*a**6*d**4*e**3/4 + 63*A*a**5*b*d**5*e**2/2 + 105*A*a**4*b**2*d**6*e/4 + 5*A*a**3*b**3*d**7 + 21*B*a**6*d**5*e**2/4 + 21*B*a**5*b*d**6*e/2 + 15*B*a**4*b**2*d**7/4) + x**3*(7*A*a**6*d**5*e**2 + 14*A*a**5*b*d**6*e + 5*A*a**4*b**2*d**7 + 7*B*a**6*d**6*e/3 + 2*B*a**5*b*d**7) + x**2*(7*A*a**6*d**6*e/2 + 3*A*a**5*b*d**7 + B*a**6*d**7/2)","B",0
1053,1,1504,0,0.262550," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d)**6,x)","A a^{6} d^{6} x + \frac{B b^{6} e^{6} x^{14}}{14} + x^{13} \left(\frac{A b^{6} e^{6}}{13} + \frac{6 B a b^{5} e^{6}}{13} + \frac{6 B b^{6} d e^{5}}{13}\right) + x^{12} \left(\frac{A a b^{5} e^{6}}{2} + \frac{A b^{6} d e^{5}}{2} + \frac{5 B a^{2} b^{4} e^{6}}{4} + 3 B a b^{5} d e^{5} + \frac{5 B b^{6} d^{2} e^{4}}{4}\right) + x^{11} \left(\frac{15 A a^{2} b^{4} e^{6}}{11} + \frac{36 A a b^{5} d e^{5}}{11} + \frac{15 A b^{6} d^{2} e^{4}}{11} + \frac{20 B a^{3} b^{3} e^{6}}{11} + \frac{90 B a^{2} b^{4} d e^{5}}{11} + \frac{90 B a b^{5} d^{2} e^{4}}{11} + \frac{20 B b^{6} d^{3} e^{3}}{11}\right) + x^{10} \left(2 A a^{3} b^{3} e^{6} + 9 A a^{2} b^{4} d e^{5} + 9 A a b^{5} d^{2} e^{4} + 2 A b^{6} d^{3} e^{3} + \frac{3 B a^{4} b^{2} e^{6}}{2} + 12 B a^{3} b^{3} d e^{5} + \frac{45 B a^{2} b^{4} d^{2} e^{4}}{2} + 12 B a b^{5} d^{3} e^{3} + \frac{3 B b^{6} d^{4} e^{2}}{2}\right) + x^{9} \left(\frac{5 A a^{4} b^{2} e^{6}}{3} + \frac{40 A a^{3} b^{3} d e^{5}}{3} + 25 A a^{2} b^{4} d^{2} e^{4} + \frac{40 A a b^{5} d^{3} e^{3}}{3} + \frac{5 A b^{6} d^{4} e^{2}}{3} + \frac{2 B a^{5} b e^{6}}{3} + 10 B a^{4} b^{2} d e^{5} + \frac{100 B a^{3} b^{3} d^{2} e^{4}}{3} + \frac{100 B a^{2} b^{4} d^{3} e^{3}}{3} + 10 B a b^{5} d^{4} e^{2} + \frac{2 B b^{6} d^{5} e}{3}\right) + x^{8} \left(\frac{3 A a^{5} b e^{6}}{4} + \frac{45 A a^{4} b^{2} d e^{5}}{4} + \frac{75 A a^{3} b^{3} d^{2} e^{4}}{2} + \frac{75 A a^{2} b^{4} d^{3} e^{3}}{2} + \frac{45 A a b^{5} d^{4} e^{2}}{4} + \frac{3 A b^{6} d^{5} e}{4} + \frac{B a^{6} e^{6}}{8} + \frac{9 B a^{5} b d e^{5}}{2} + \frac{225 B a^{4} b^{2} d^{2} e^{4}}{8} + 50 B a^{3} b^{3} d^{3} e^{3} + \frac{225 B a^{2} b^{4} d^{4} e^{2}}{8} + \frac{9 B a b^{5} d^{5} e}{2} + \frac{B b^{6} d^{6}}{8}\right) + x^{7} \left(\frac{A a^{6} e^{6}}{7} + \frac{36 A a^{5} b d e^{5}}{7} + \frac{225 A a^{4} b^{2} d^{2} e^{4}}{7} + \frac{400 A a^{3} b^{3} d^{3} e^{3}}{7} + \frac{225 A a^{2} b^{4} d^{4} e^{2}}{7} + \frac{36 A a b^{5} d^{5} e}{7} + \frac{A b^{6} d^{6}}{7} + \frac{6 B a^{6} d e^{5}}{7} + \frac{90 B a^{5} b d^{2} e^{4}}{7} + \frac{300 B a^{4} b^{2} d^{3} e^{3}}{7} + \frac{300 B a^{3} b^{3} d^{4} e^{2}}{7} + \frac{90 B a^{2} b^{4} d^{5} e}{7} + \frac{6 B a b^{5} d^{6}}{7}\right) + x^{6} \left(A a^{6} d e^{5} + 15 A a^{5} b d^{2} e^{4} + 50 A a^{4} b^{2} d^{3} e^{3} + 50 A a^{3} b^{3} d^{4} e^{2} + 15 A a^{2} b^{4} d^{5} e + A a b^{5} d^{6} + \frac{5 B a^{6} d^{2} e^{4}}{2} + 20 B a^{5} b d^{3} e^{3} + \frac{75 B a^{4} b^{2} d^{4} e^{2}}{2} + 20 B a^{3} b^{3} d^{5} e + \frac{5 B a^{2} b^{4} d^{6}}{2}\right) + x^{5} \left(3 A a^{6} d^{2} e^{4} + 24 A a^{5} b d^{3} e^{3} + 45 A a^{4} b^{2} d^{4} e^{2} + 24 A a^{3} b^{3} d^{5} e + 3 A a^{2} b^{4} d^{6} + 4 B a^{6} d^{3} e^{3} + 18 B a^{5} b d^{4} e^{2} + 18 B a^{4} b^{2} d^{5} e + 4 B a^{3} b^{3} d^{6}\right) + x^{4} \left(5 A a^{6} d^{3} e^{3} + \frac{45 A a^{5} b d^{4} e^{2}}{2} + \frac{45 A a^{4} b^{2} d^{5} e}{2} + 5 A a^{3} b^{3} d^{6} + \frac{15 B a^{6} d^{4} e^{2}}{4} + 9 B a^{5} b d^{5} e + \frac{15 B a^{4} b^{2} d^{6}}{4}\right) + x^{3} \left(5 A a^{6} d^{4} e^{2} + 12 A a^{5} b d^{5} e + 5 A a^{4} b^{2} d^{6} + 2 B a^{6} d^{5} e + 2 B a^{5} b d^{6}\right) + x^{2} \left(3 A a^{6} d^{5} e + 3 A a^{5} b d^{6} + \frac{B a^{6} d^{6}}{2}\right)"," ",0,"A*a**6*d**6*x + B*b**6*e**6*x**14/14 + x**13*(A*b**6*e**6/13 + 6*B*a*b**5*e**6/13 + 6*B*b**6*d*e**5/13) + x**12*(A*a*b**5*e**6/2 + A*b**6*d*e**5/2 + 5*B*a**2*b**4*e**6/4 + 3*B*a*b**5*d*e**5 + 5*B*b**6*d**2*e**4/4) + x**11*(15*A*a**2*b**4*e**6/11 + 36*A*a*b**5*d*e**5/11 + 15*A*b**6*d**2*e**4/11 + 20*B*a**3*b**3*e**6/11 + 90*B*a**2*b**4*d*e**5/11 + 90*B*a*b**5*d**2*e**4/11 + 20*B*b**6*d**3*e**3/11) + x**10*(2*A*a**3*b**3*e**6 + 9*A*a**2*b**4*d*e**5 + 9*A*a*b**5*d**2*e**4 + 2*A*b**6*d**3*e**3 + 3*B*a**4*b**2*e**6/2 + 12*B*a**3*b**3*d*e**5 + 45*B*a**2*b**4*d**2*e**4/2 + 12*B*a*b**5*d**3*e**3 + 3*B*b**6*d**4*e**2/2) + x**9*(5*A*a**4*b**2*e**6/3 + 40*A*a**3*b**3*d*e**5/3 + 25*A*a**2*b**4*d**2*e**4 + 40*A*a*b**5*d**3*e**3/3 + 5*A*b**6*d**4*e**2/3 + 2*B*a**5*b*e**6/3 + 10*B*a**4*b**2*d*e**5 + 100*B*a**3*b**3*d**2*e**4/3 + 100*B*a**2*b**4*d**3*e**3/3 + 10*B*a*b**5*d**4*e**2 + 2*B*b**6*d**5*e/3) + x**8*(3*A*a**5*b*e**6/4 + 45*A*a**4*b**2*d*e**5/4 + 75*A*a**3*b**3*d**2*e**4/2 + 75*A*a**2*b**4*d**3*e**3/2 + 45*A*a*b**5*d**4*e**2/4 + 3*A*b**6*d**5*e/4 + B*a**6*e**6/8 + 9*B*a**5*b*d*e**5/2 + 225*B*a**4*b**2*d**2*e**4/8 + 50*B*a**3*b**3*d**3*e**3 + 225*B*a**2*b**4*d**4*e**2/8 + 9*B*a*b**5*d**5*e/2 + B*b**6*d**6/8) + x**7*(A*a**6*e**6/7 + 36*A*a**5*b*d*e**5/7 + 225*A*a**4*b**2*d**2*e**4/7 + 400*A*a**3*b**3*d**3*e**3/7 + 225*A*a**2*b**4*d**4*e**2/7 + 36*A*a*b**5*d**5*e/7 + A*b**6*d**6/7 + 6*B*a**6*d*e**5/7 + 90*B*a**5*b*d**2*e**4/7 + 300*B*a**4*b**2*d**3*e**3/7 + 300*B*a**3*b**3*d**4*e**2/7 + 90*B*a**2*b**4*d**5*e/7 + 6*B*a*b**5*d**6/7) + x**6*(A*a**6*d*e**5 + 15*A*a**5*b*d**2*e**4 + 50*A*a**4*b**2*d**3*e**3 + 50*A*a**3*b**3*d**4*e**2 + 15*A*a**2*b**4*d**5*e + A*a*b**5*d**6 + 5*B*a**6*d**2*e**4/2 + 20*B*a**5*b*d**3*e**3 + 75*B*a**4*b**2*d**4*e**2/2 + 20*B*a**3*b**3*d**5*e + 5*B*a**2*b**4*d**6/2) + x**5*(3*A*a**6*d**2*e**4 + 24*A*a**5*b*d**3*e**3 + 45*A*a**4*b**2*d**4*e**2 + 24*A*a**3*b**3*d**5*e + 3*A*a**2*b**4*d**6 + 4*B*a**6*d**3*e**3 + 18*B*a**5*b*d**4*e**2 + 18*B*a**4*b**2*d**5*e + 4*B*a**3*b**3*d**6) + x**4*(5*A*a**6*d**3*e**3 + 45*A*a**5*b*d**4*e**2/2 + 45*A*a**4*b**2*d**5*e/2 + 5*A*a**3*b**3*d**6 + 15*B*a**6*d**4*e**2/4 + 9*B*a**5*b*d**5*e + 15*B*a**4*b**2*d**6/4) + x**3*(5*A*a**6*d**4*e**2 + 12*A*a**5*b*d**5*e + 5*A*a**4*b**2*d**6 + 2*B*a**6*d**5*e + 2*B*a**5*b*d**6) + x**2*(3*A*a**6*d**5*e + 3*A*a**5*b*d**6 + B*a**6*d**6/2)","B",0
1054,1,1278,0,0.230255," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d)**5,x)","A a^{6} d^{5} x + \frac{B b^{6} e^{5} x^{13}}{13} + x^{12} \left(\frac{A b^{6} e^{5}}{12} + \frac{B a b^{5} e^{5}}{2} + \frac{5 B b^{6} d e^{4}}{12}\right) + x^{11} \left(\frac{6 A a b^{5} e^{5}}{11} + \frac{5 A b^{6} d e^{4}}{11} + \frac{15 B a^{2} b^{4} e^{5}}{11} + \frac{30 B a b^{5} d e^{4}}{11} + \frac{10 B b^{6} d^{2} e^{3}}{11}\right) + x^{10} \left(\frac{3 A a^{2} b^{4} e^{5}}{2} + 3 A a b^{5} d e^{4} + A b^{6} d^{2} e^{3} + 2 B a^{3} b^{3} e^{5} + \frac{15 B a^{2} b^{4} d e^{4}}{2} + 6 B a b^{5} d^{2} e^{3} + B b^{6} d^{3} e^{2}\right) + x^{9} \left(\frac{20 A a^{3} b^{3} e^{5}}{9} + \frac{25 A a^{2} b^{4} d e^{4}}{3} + \frac{20 A a b^{5} d^{2} e^{3}}{3} + \frac{10 A b^{6} d^{3} e^{2}}{9} + \frac{5 B a^{4} b^{2} e^{5}}{3} + \frac{100 B a^{3} b^{3} d e^{4}}{9} + \frac{50 B a^{2} b^{4} d^{2} e^{3}}{3} + \frac{20 B a b^{5} d^{3} e^{2}}{3} + \frac{5 B b^{6} d^{4} e}{9}\right) + x^{8} \left(\frac{15 A a^{4} b^{2} e^{5}}{8} + \frac{25 A a^{3} b^{3} d e^{4}}{2} + \frac{75 A a^{2} b^{4} d^{2} e^{3}}{4} + \frac{15 A a b^{5} d^{3} e^{2}}{2} + \frac{5 A b^{6} d^{4} e}{8} + \frac{3 B a^{5} b e^{5}}{4} + \frac{75 B a^{4} b^{2} d e^{4}}{8} + 25 B a^{3} b^{3} d^{2} e^{3} + \frac{75 B a^{2} b^{4} d^{3} e^{2}}{4} + \frac{15 B a b^{5} d^{4} e}{4} + \frac{B b^{6} d^{5}}{8}\right) + x^{7} \left(\frac{6 A a^{5} b e^{5}}{7} + \frac{75 A a^{4} b^{2} d e^{4}}{7} + \frac{200 A a^{3} b^{3} d^{2} e^{3}}{7} + \frac{150 A a^{2} b^{4} d^{3} e^{2}}{7} + \frac{30 A a b^{5} d^{4} e}{7} + \frac{A b^{6} d^{5}}{7} + \frac{B a^{6} e^{5}}{7} + \frac{30 B a^{5} b d e^{4}}{7} + \frac{150 B a^{4} b^{2} d^{2} e^{3}}{7} + \frac{200 B a^{3} b^{3} d^{3} e^{2}}{7} + \frac{75 B a^{2} b^{4} d^{4} e}{7} + \frac{6 B a b^{5} d^{5}}{7}\right) + x^{6} \left(\frac{A a^{6} e^{5}}{6} + 5 A a^{5} b d e^{4} + 25 A a^{4} b^{2} d^{2} e^{3} + \frac{100 A a^{3} b^{3} d^{3} e^{2}}{3} + \frac{25 A a^{2} b^{4} d^{4} e}{2} + A a b^{5} d^{5} + \frac{5 B a^{6} d e^{4}}{6} + 10 B a^{5} b d^{2} e^{3} + 25 B a^{4} b^{2} d^{3} e^{2} + \frac{50 B a^{3} b^{3} d^{4} e}{3} + \frac{5 B a^{2} b^{4} d^{5}}{2}\right) + x^{5} \left(A a^{6} d e^{4} + 12 A a^{5} b d^{2} e^{3} + 30 A a^{4} b^{2} d^{3} e^{2} + 20 A a^{3} b^{3} d^{4} e + 3 A a^{2} b^{4} d^{5} + 2 B a^{6} d^{2} e^{3} + 12 B a^{5} b d^{3} e^{2} + 15 B a^{4} b^{2} d^{4} e + 4 B a^{3} b^{3} d^{5}\right) + x^{4} \left(\frac{5 A a^{6} d^{2} e^{3}}{2} + 15 A a^{5} b d^{3} e^{2} + \frac{75 A a^{4} b^{2} d^{4} e}{4} + 5 A a^{3} b^{3} d^{5} + \frac{5 B a^{6} d^{3} e^{2}}{2} + \frac{15 B a^{5} b d^{4} e}{2} + \frac{15 B a^{4} b^{2} d^{5}}{4}\right) + x^{3} \left(\frac{10 A a^{6} d^{3} e^{2}}{3} + 10 A a^{5} b d^{4} e + 5 A a^{4} b^{2} d^{5} + \frac{5 B a^{6} d^{4} e}{3} + 2 B a^{5} b d^{5}\right) + x^{2} \left(\frac{5 A a^{6} d^{4} e}{2} + 3 A a^{5} b d^{5} + \frac{B a^{6} d^{5}}{2}\right)"," ",0,"A*a**6*d**5*x + B*b**6*e**5*x**13/13 + x**12*(A*b**6*e**5/12 + B*a*b**5*e**5/2 + 5*B*b**6*d*e**4/12) + x**11*(6*A*a*b**5*e**5/11 + 5*A*b**6*d*e**4/11 + 15*B*a**2*b**4*e**5/11 + 30*B*a*b**5*d*e**4/11 + 10*B*b**6*d**2*e**3/11) + x**10*(3*A*a**2*b**4*e**5/2 + 3*A*a*b**5*d*e**4 + A*b**6*d**2*e**3 + 2*B*a**3*b**3*e**5 + 15*B*a**2*b**4*d*e**4/2 + 6*B*a*b**5*d**2*e**3 + B*b**6*d**3*e**2) + x**9*(20*A*a**3*b**3*e**5/9 + 25*A*a**2*b**4*d*e**4/3 + 20*A*a*b**5*d**2*e**3/3 + 10*A*b**6*d**3*e**2/9 + 5*B*a**4*b**2*e**5/3 + 100*B*a**3*b**3*d*e**4/9 + 50*B*a**2*b**4*d**2*e**3/3 + 20*B*a*b**5*d**3*e**2/3 + 5*B*b**6*d**4*e/9) + x**8*(15*A*a**4*b**2*e**5/8 + 25*A*a**3*b**3*d*e**4/2 + 75*A*a**2*b**4*d**2*e**3/4 + 15*A*a*b**5*d**3*e**2/2 + 5*A*b**6*d**4*e/8 + 3*B*a**5*b*e**5/4 + 75*B*a**4*b**2*d*e**4/8 + 25*B*a**3*b**3*d**2*e**3 + 75*B*a**2*b**4*d**3*e**2/4 + 15*B*a*b**5*d**4*e/4 + B*b**6*d**5/8) + x**7*(6*A*a**5*b*e**5/7 + 75*A*a**4*b**2*d*e**4/7 + 200*A*a**3*b**3*d**2*e**3/7 + 150*A*a**2*b**4*d**3*e**2/7 + 30*A*a*b**5*d**4*e/7 + A*b**6*d**5/7 + B*a**6*e**5/7 + 30*B*a**5*b*d*e**4/7 + 150*B*a**4*b**2*d**2*e**3/7 + 200*B*a**3*b**3*d**3*e**2/7 + 75*B*a**2*b**4*d**4*e/7 + 6*B*a*b**5*d**5/7) + x**6*(A*a**6*e**5/6 + 5*A*a**5*b*d*e**4 + 25*A*a**4*b**2*d**2*e**3 + 100*A*a**3*b**3*d**3*e**2/3 + 25*A*a**2*b**4*d**4*e/2 + A*a*b**5*d**5 + 5*B*a**6*d*e**4/6 + 10*B*a**5*b*d**2*e**3 + 25*B*a**4*b**2*d**3*e**2 + 50*B*a**3*b**3*d**4*e/3 + 5*B*a**2*b**4*d**5/2) + x**5*(A*a**6*d*e**4 + 12*A*a**5*b*d**2*e**3 + 30*A*a**4*b**2*d**3*e**2 + 20*A*a**3*b**3*d**4*e + 3*A*a**2*b**4*d**5 + 2*B*a**6*d**2*e**3 + 12*B*a**5*b*d**3*e**2 + 15*B*a**4*b**2*d**4*e + 4*B*a**3*b**3*d**5) + x**4*(5*A*a**6*d**2*e**3/2 + 15*A*a**5*b*d**3*e**2 + 75*A*a**4*b**2*d**4*e/4 + 5*A*a**3*b**3*d**5 + 5*B*a**6*d**3*e**2/2 + 15*B*a**5*b*d**4*e/2 + 15*B*a**4*b**2*d**5/4) + x**3*(10*A*a**6*d**3*e**2/3 + 10*A*a**5*b*d**4*e + 5*A*a**4*b**2*d**5 + 5*B*a**6*d**4*e/3 + 2*B*a**5*b*d**5) + x**2*(5*A*a**6*d**4*e/2 + 3*A*a**5*b*d**5 + B*a**6*d**5/2)","B",0
1055,1,1035,0,0.201124," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d)**4,x)","A a^{6} d^{4} x + \frac{B b^{6} e^{4} x^{12}}{12} + x^{11} \left(\frac{A b^{6} e^{4}}{11} + \frac{6 B a b^{5} e^{4}}{11} + \frac{4 B b^{6} d e^{3}}{11}\right) + x^{10} \left(\frac{3 A a b^{5} e^{4}}{5} + \frac{2 A b^{6} d e^{3}}{5} + \frac{3 B a^{2} b^{4} e^{4}}{2} + \frac{12 B a b^{5} d e^{3}}{5} + \frac{3 B b^{6} d^{2} e^{2}}{5}\right) + x^{9} \left(\frac{5 A a^{2} b^{4} e^{4}}{3} + \frac{8 A a b^{5} d e^{3}}{3} + \frac{2 A b^{6} d^{2} e^{2}}{3} + \frac{20 B a^{3} b^{3} e^{4}}{9} + \frac{20 B a^{2} b^{4} d e^{3}}{3} + 4 B a b^{5} d^{2} e^{2} + \frac{4 B b^{6} d^{3} e}{9}\right) + x^{8} \left(\frac{5 A a^{3} b^{3} e^{4}}{2} + \frac{15 A a^{2} b^{4} d e^{3}}{2} + \frac{9 A a b^{5} d^{2} e^{2}}{2} + \frac{A b^{6} d^{3} e}{2} + \frac{15 B a^{4} b^{2} e^{4}}{8} + 10 B a^{3} b^{3} d e^{3} + \frac{45 B a^{2} b^{4} d^{2} e^{2}}{4} + 3 B a b^{5} d^{3} e + \frac{B b^{6} d^{4}}{8}\right) + x^{7} \left(\frac{15 A a^{4} b^{2} e^{4}}{7} + \frac{80 A a^{3} b^{3} d e^{3}}{7} + \frac{90 A a^{2} b^{4} d^{2} e^{2}}{7} + \frac{24 A a b^{5} d^{3} e}{7} + \frac{A b^{6} d^{4}}{7} + \frac{6 B a^{5} b e^{4}}{7} + \frac{60 B a^{4} b^{2} d e^{3}}{7} + \frac{120 B a^{3} b^{3} d^{2} e^{2}}{7} + \frac{60 B a^{2} b^{4} d^{3} e}{7} + \frac{6 B a b^{5} d^{4}}{7}\right) + x^{6} \left(A a^{5} b e^{4} + 10 A a^{4} b^{2} d e^{3} + 20 A a^{3} b^{3} d^{2} e^{2} + 10 A a^{2} b^{4} d^{3} e + A a b^{5} d^{4} + \frac{B a^{6} e^{4}}{6} + 4 B a^{5} b d e^{3} + 15 B a^{4} b^{2} d^{2} e^{2} + \frac{40 B a^{3} b^{3} d^{3} e}{3} + \frac{5 B a^{2} b^{4} d^{4}}{2}\right) + x^{5} \left(\frac{A a^{6} e^{4}}{5} + \frac{24 A a^{5} b d e^{3}}{5} + 18 A a^{4} b^{2} d^{2} e^{2} + 16 A a^{3} b^{3} d^{3} e + 3 A a^{2} b^{4} d^{4} + \frac{4 B a^{6} d e^{3}}{5} + \frac{36 B a^{5} b d^{2} e^{2}}{5} + 12 B a^{4} b^{2} d^{3} e + 4 B a^{3} b^{3} d^{4}\right) + x^{4} \left(A a^{6} d e^{3} + 9 A a^{5} b d^{2} e^{2} + 15 A a^{4} b^{2} d^{3} e + 5 A a^{3} b^{3} d^{4} + \frac{3 B a^{6} d^{2} e^{2}}{2} + 6 B a^{5} b d^{3} e + \frac{15 B a^{4} b^{2} d^{4}}{4}\right) + x^{3} \left(2 A a^{6} d^{2} e^{2} + 8 A a^{5} b d^{3} e + 5 A a^{4} b^{2} d^{4} + \frac{4 B a^{6} d^{3} e}{3} + 2 B a^{5} b d^{4}\right) + x^{2} \left(2 A a^{6} d^{3} e + 3 A a^{5} b d^{4} + \frac{B a^{6} d^{4}}{2}\right)"," ",0,"A*a**6*d**4*x + B*b**6*e**4*x**12/12 + x**11*(A*b**6*e**4/11 + 6*B*a*b**5*e**4/11 + 4*B*b**6*d*e**3/11) + x**10*(3*A*a*b**5*e**4/5 + 2*A*b**6*d*e**3/5 + 3*B*a**2*b**4*e**4/2 + 12*B*a*b**5*d*e**3/5 + 3*B*b**6*d**2*e**2/5) + x**9*(5*A*a**2*b**4*e**4/3 + 8*A*a*b**5*d*e**3/3 + 2*A*b**6*d**2*e**2/3 + 20*B*a**3*b**3*e**4/9 + 20*B*a**2*b**4*d*e**3/3 + 4*B*a*b**5*d**2*e**2 + 4*B*b**6*d**3*e/9) + x**8*(5*A*a**3*b**3*e**4/2 + 15*A*a**2*b**4*d*e**3/2 + 9*A*a*b**5*d**2*e**2/2 + A*b**6*d**3*e/2 + 15*B*a**4*b**2*e**4/8 + 10*B*a**3*b**3*d*e**3 + 45*B*a**2*b**4*d**2*e**2/4 + 3*B*a*b**5*d**3*e + B*b**6*d**4/8) + x**7*(15*A*a**4*b**2*e**4/7 + 80*A*a**3*b**3*d*e**3/7 + 90*A*a**2*b**4*d**2*e**2/7 + 24*A*a*b**5*d**3*e/7 + A*b**6*d**4/7 + 6*B*a**5*b*e**4/7 + 60*B*a**4*b**2*d*e**3/7 + 120*B*a**3*b**3*d**2*e**2/7 + 60*B*a**2*b**4*d**3*e/7 + 6*B*a*b**5*d**4/7) + x**6*(A*a**5*b*e**4 + 10*A*a**4*b**2*d*e**3 + 20*A*a**3*b**3*d**2*e**2 + 10*A*a**2*b**4*d**3*e + A*a*b**5*d**4 + B*a**6*e**4/6 + 4*B*a**5*b*d*e**3 + 15*B*a**4*b**2*d**2*e**2 + 40*B*a**3*b**3*d**3*e/3 + 5*B*a**2*b**4*d**4/2) + x**5*(A*a**6*e**4/5 + 24*A*a**5*b*d*e**3/5 + 18*A*a**4*b**2*d**2*e**2 + 16*A*a**3*b**3*d**3*e + 3*A*a**2*b**4*d**4 + 4*B*a**6*d*e**3/5 + 36*B*a**5*b*d**2*e**2/5 + 12*B*a**4*b**2*d**3*e + 4*B*a**3*b**3*d**4) + x**4*(A*a**6*d*e**3 + 9*A*a**5*b*d**2*e**2 + 15*A*a**4*b**2*d**3*e + 5*A*a**3*b**3*d**4 + 3*B*a**6*d**2*e**2/2 + 6*B*a**5*b*d**3*e + 15*B*a**4*b**2*d**4/4) + x**3*(2*A*a**6*d**2*e**2 + 8*A*a**5*b*d**3*e + 5*A*a**4*b**2*d**4 + 4*B*a**6*d**3*e/3 + 2*B*a**5*b*d**4) + x**2*(2*A*a**6*d**3*e + 3*A*a**5*b*d**4 + B*a**6*d**4/2)","B",0
1056,1,802,0,0.175358," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d)**3,x)","A a^{6} d^{3} x + \frac{B b^{6} e^{3} x^{11}}{11} + x^{10} \left(\frac{A b^{6} e^{3}}{10} + \frac{3 B a b^{5} e^{3}}{5} + \frac{3 B b^{6} d e^{2}}{10}\right) + x^{9} \left(\frac{2 A a b^{5} e^{3}}{3} + \frac{A b^{6} d e^{2}}{3} + \frac{5 B a^{2} b^{4} e^{3}}{3} + 2 B a b^{5} d e^{2} + \frac{B b^{6} d^{2} e}{3}\right) + x^{8} \left(\frac{15 A a^{2} b^{4} e^{3}}{8} + \frac{9 A a b^{5} d e^{2}}{4} + \frac{3 A b^{6} d^{2} e}{8} + \frac{5 B a^{3} b^{3} e^{3}}{2} + \frac{45 B a^{2} b^{4} d e^{2}}{8} + \frac{9 B a b^{5} d^{2} e}{4} + \frac{B b^{6} d^{3}}{8}\right) + x^{7} \left(\frac{20 A a^{3} b^{3} e^{3}}{7} + \frac{45 A a^{2} b^{4} d e^{2}}{7} + \frac{18 A a b^{5} d^{2} e}{7} + \frac{A b^{6} d^{3}}{7} + \frac{15 B a^{4} b^{2} e^{3}}{7} + \frac{60 B a^{3} b^{3} d e^{2}}{7} + \frac{45 B a^{2} b^{4} d^{2} e}{7} + \frac{6 B a b^{5} d^{3}}{7}\right) + x^{6} \left(\frac{5 A a^{4} b^{2} e^{3}}{2} + 10 A a^{3} b^{3} d e^{2} + \frac{15 A a^{2} b^{4} d^{2} e}{2} + A a b^{5} d^{3} + B a^{5} b e^{3} + \frac{15 B a^{4} b^{2} d e^{2}}{2} + 10 B a^{3} b^{3} d^{2} e + \frac{5 B a^{2} b^{4} d^{3}}{2}\right) + x^{5} \left(\frac{6 A a^{5} b e^{3}}{5} + 9 A a^{4} b^{2} d e^{2} + 12 A a^{3} b^{3} d^{2} e + 3 A a^{2} b^{4} d^{3} + \frac{B a^{6} e^{3}}{5} + \frac{18 B a^{5} b d e^{2}}{5} + 9 B a^{4} b^{2} d^{2} e + 4 B a^{3} b^{3} d^{3}\right) + x^{4} \left(\frac{A a^{6} e^{3}}{4} + \frac{9 A a^{5} b d e^{2}}{2} + \frac{45 A a^{4} b^{2} d^{2} e}{4} + 5 A a^{3} b^{3} d^{3} + \frac{3 B a^{6} d e^{2}}{4} + \frac{9 B a^{5} b d^{2} e}{2} + \frac{15 B a^{4} b^{2} d^{3}}{4}\right) + x^{3} \left(A a^{6} d e^{2} + 6 A a^{5} b d^{2} e + 5 A a^{4} b^{2} d^{3} + B a^{6} d^{2} e + 2 B a^{5} b d^{3}\right) + x^{2} \left(\frac{3 A a^{6} d^{2} e}{2} + 3 A a^{5} b d^{3} + \frac{B a^{6} d^{3}}{2}\right)"," ",0,"A*a**6*d**3*x + B*b**6*e**3*x**11/11 + x**10*(A*b**6*e**3/10 + 3*B*a*b**5*e**3/5 + 3*B*b**6*d*e**2/10) + x**9*(2*A*a*b**5*e**3/3 + A*b**6*d*e**2/3 + 5*B*a**2*b**4*e**3/3 + 2*B*a*b**5*d*e**2 + B*b**6*d**2*e/3) + x**8*(15*A*a**2*b**4*e**3/8 + 9*A*a*b**5*d*e**2/4 + 3*A*b**6*d**2*e/8 + 5*B*a**3*b**3*e**3/2 + 45*B*a**2*b**4*d*e**2/8 + 9*B*a*b**5*d**2*e/4 + B*b**6*d**3/8) + x**7*(20*A*a**3*b**3*e**3/7 + 45*A*a**2*b**4*d*e**2/7 + 18*A*a*b**5*d**2*e/7 + A*b**6*d**3/7 + 15*B*a**4*b**2*e**3/7 + 60*B*a**3*b**3*d*e**2/7 + 45*B*a**2*b**4*d**2*e/7 + 6*B*a*b**5*d**3/7) + x**6*(5*A*a**4*b**2*e**3/2 + 10*A*a**3*b**3*d*e**2 + 15*A*a**2*b**4*d**2*e/2 + A*a*b**5*d**3 + B*a**5*b*e**3 + 15*B*a**4*b**2*d*e**2/2 + 10*B*a**3*b**3*d**2*e + 5*B*a**2*b**4*d**3/2) + x**5*(6*A*a**5*b*e**3/5 + 9*A*a**4*b**2*d*e**2 + 12*A*a**3*b**3*d**2*e + 3*A*a**2*b**4*d**3 + B*a**6*e**3/5 + 18*B*a**5*b*d*e**2/5 + 9*B*a**4*b**2*d**2*e + 4*B*a**3*b**3*d**3) + x**4*(A*a**6*e**3/4 + 9*A*a**5*b*d*e**2/2 + 45*A*a**4*b**2*d**2*e/4 + 5*A*a**3*b**3*d**3 + 3*B*a**6*d*e**2/4 + 9*B*a**5*b*d**2*e/2 + 15*B*a**4*b**2*d**3/4) + x**3*(A*a**6*d*e**2 + 6*A*a**5*b*d**2*e + 5*A*a**4*b**2*d**3 + B*a**6*d**2*e + 2*B*a**5*b*d**3) + x**2*(3*A*a**6*d**2*e/2 + 3*A*a**5*b*d**3 + B*a**6*d**3/2)","B",0
1057,1,568,0,0.148007," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d)**2,x)","A a^{6} d^{2} x + \frac{B b^{6} e^{2} x^{10}}{10} + x^{9} \left(\frac{A b^{6} e^{2}}{9} + \frac{2 B a b^{5} e^{2}}{3} + \frac{2 B b^{6} d e}{9}\right) + x^{8} \left(\frac{3 A a b^{5} e^{2}}{4} + \frac{A b^{6} d e}{4} + \frac{15 B a^{2} b^{4} e^{2}}{8} + \frac{3 B a b^{5} d e}{2} + \frac{B b^{6} d^{2}}{8}\right) + x^{7} \left(\frac{15 A a^{2} b^{4} e^{2}}{7} + \frac{12 A a b^{5} d e}{7} + \frac{A b^{6} d^{2}}{7} + \frac{20 B a^{3} b^{3} e^{2}}{7} + \frac{30 B a^{2} b^{4} d e}{7} + \frac{6 B a b^{5} d^{2}}{7}\right) + x^{6} \left(\frac{10 A a^{3} b^{3} e^{2}}{3} + 5 A a^{2} b^{4} d e + A a b^{5} d^{2} + \frac{5 B a^{4} b^{2} e^{2}}{2} + \frac{20 B a^{3} b^{3} d e}{3} + \frac{5 B a^{2} b^{4} d^{2}}{2}\right) + x^{5} \left(3 A a^{4} b^{2} e^{2} + 8 A a^{3} b^{3} d e + 3 A a^{2} b^{4} d^{2} + \frac{6 B a^{5} b e^{2}}{5} + 6 B a^{4} b^{2} d e + 4 B a^{3} b^{3} d^{2}\right) + x^{4} \left(\frac{3 A a^{5} b e^{2}}{2} + \frac{15 A a^{4} b^{2} d e}{2} + 5 A a^{3} b^{3} d^{2} + \frac{B a^{6} e^{2}}{4} + 3 B a^{5} b d e + \frac{15 B a^{4} b^{2} d^{2}}{4}\right) + x^{3} \left(\frac{A a^{6} e^{2}}{3} + 4 A a^{5} b d e + 5 A a^{4} b^{2} d^{2} + \frac{2 B a^{6} d e}{3} + 2 B a^{5} b d^{2}\right) + x^{2} \left(A a^{6} d e + 3 A a^{5} b d^{2} + \frac{B a^{6} d^{2}}{2}\right)"," ",0,"A*a**6*d**2*x + B*b**6*e**2*x**10/10 + x**9*(A*b**6*e**2/9 + 2*B*a*b**5*e**2/3 + 2*B*b**6*d*e/9) + x**8*(3*A*a*b**5*e**2/4 + A*b**6*d*e/4 + 15*B*a**2*b**4*e**2/8 + 3*B*a*b**5*d*e/2 + B*b**6*d**2/8) + x**7*(15*A*a**2*b**4*e**2/7 + 12*A*a*b**5*d*e/7 + A*b**6*d**2/7 + 20*B*a**3*b**3*e**2/7 + 30*B*a**2*b**4*d*e/7 + 6*B*a*b**5*d**2/7) + x**6*(10*A*a**3*b**3*e**2/3 + 5*A*a**2*b**4*d*e + A*a*b**5*d**2 + 5*B*a**4*b**2*e**2/2 + 20*B*a**3*b**3*d*e/3 + 5*B*a**2*b**4*d**2/2) + x**5*(3*A*a**4*b**2*e**2 + 8*A*a**3*b**3*d*e + 3*A*a**2*b**4*d**2 + 6*B*a**5*b*e**2/5 + 6*B*a**4*b**2*d*e + 4*B*a**3*b**3*d**2) + x**4*(3*A*a**5*b*e**2/2 + 15*A*a**4*b**2*d*e/2 + 5*A*a**3*b**3*d**2 + B*a**6*e**2/4 + 3*B*a**5*b*d*e + 15*B*a**4*b**2*d**2/4) + x**3*(A*a**6*e**2/3 + 4*A*a**5*b*d*e + 5*A*a**4*b**2*d**2 + 2*B*a**6*d*e/3 + 2*B*a**5*b*d**2) + x**2*(A*a**6*d*e + 3*A*a**5*b*d**2 + B*a**6*d**2/2)","B",0
1058,1,333,0,0.117105," ","integrate((b*x+a)**6*(B*x+A)*(e*x+d),x)","A a^{6} d x + \frac{B b^{6} e x^{9}}{9} + x^{8} \left(\frac{A b^{6} e}{8} + \frac{3 B a b^{5} e}{4} + \frac{B b^{6} d}{8}\right) + x^{7} \left(\frac{6 A a b^{5} e}{7} + \frac{A b^{6} d}{7} + \frac{15 B a^{2} b^{4} e}{7} + \frac{6 B a b^{5} d}{7}\right) + x^{6} \left(\frac{5 A a^{2} b^{4} e}{2} + A a b^{5} d + \frac{10 B a^{3} b^{3} e}{3} + \frac{5 B a^{2} b^{4} d}{2}\right) + x^{5} \left(4 A a^{3} b^{3} e + 3 A a^{2} b^{4} d + 3 B a^{4} b^{2} e + 4 B a^{3} b^{3} d\right) + x^{4} \left(\frac{15 A a^{4} b^{2} e}{4} + 5 A a^{3} b^{3} d + \frac{3 B a^{5} b e}{2} + \frac{15 B a^{4} b^{2} d}{4}\right) + x^{3} \left(2 A a^{5} b e + 5 A a^{4} b^{2} d + \frac{B a^{6} e}{3} + 2 B a^{5} b d\right) + x^{2} \left(\frac{A a^{6} e}{2} + 3 A a^{5} b d + \frac{B a^{6} d}{2}\right)"," ",0,"A*a**6*d*x + B*b**6*e*x**9/9 + x**8*(A*b**6*e/8 + 3*B*a*b**5*e/4 + B*b**6*d/8) + x**7*(6*A*a*b**5*e/7 + A*b**6*d/7 + 15*B*a**2*b**4*e/7 + 6*B*a*b**5*d/7) + x**6*(5*A*a**2*b**4*e/2 + A*a*b**5*d + 10*B*a**3*b**3*e/3 + 5*B*a**2*b**4*d/2) + x**5*(4*A*a**3*b**3*e + 3*A*a**2*b**4*d + 3*B*a**4*b**2*e + 4*B*a**3*b**3*d) + x**4*(15*A*a**4*b**2*e/4 + 5*A*a**3*b**3*d + 3*B*a**5*b*e/2 + 15*B*a**4*b**2*d/4) + x**3*(2*A*a**5*b*e + 5*A*a**4*b**2*d + B*a**6*e/3 + 2*B*a**5*b*d) + x**2*(A*a**6*e/2 + 3*A*a**5*b*d + B*a**6*d/2)","B",0
1059,1,148,0,0.095163," ","integrate((b*x+a)**6*(B*x+A),x)","A a^{6} x + \frac{B b^{6} x^{8}}{8} + x^{7} \left(\frac{A b^{6}}{7} + \frac{6 B a b^{5}}{7}\right) + x^{6} \left(A a b^{5} + \frac{5 B a^{2} b^{4}}{2}\right) + x^{5} \left(3 A a^{2} b^{4} + 4 B a^{3} b^{3}\right) + x^{4} \left(5 A a^{3} b^{3} + \frac{15 B a^{4} b^{2}}{4}\right) + x^{3} \left(5 A a^{4} b^{2} + 2 B a^{5} b\right) + x^{2} \left(3 A a^{5} b + \frac{B a^{6}}{2}\right)"," ",0,"A*a**6*x + B*b**6*x**8/8 + x**7*(A*b**6/7 + 6*B*a*b**5/7) + x**6*(A*a*b**5 + 5*B*a**2*b**4/2) + x**5*(3*A*a**2*b**4 + 4*B*a**3*b**3) + x**4*(5*A*a**3*b**3 + 15*B*a**4*b**2/4) + x**3*(5*A*a**4*b**2 + 2*B*a**5*b) + x**2*(3*A*a**5*b + B*a**6/2)","B",0
1060,1,736,0,1.657069," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d),x)","\frac{B b^{6} x^{7}}{7 e} + x^{6} \left(\frac{A b^{6}}{6 e} + \frac{B a b^{5}}{e} - \frac{B b^{6} d}{6 e^{2}}\right) + x^{5} \left(\frac{6 A a b^{5}}{5 e} - \frac{A b^{6} d}{5 e^{2}} + \frac{3 B a^{2} b^{4}}{e} - \frac{6 B a b^{5} d}{5 e^{2}} + \frac{B b^{6} d^{2}}{5 e^{3}}\right) + x^{4} \left(\frac{15 A a^{2} b^{4}}{4 e} - \frac{3 A a b^{5} d}{2 e^{2}} + \frac{A b^{6} d^{2}}{4 e^{3}} + \frac{5 B a^{3} b^{3}}{e} - \frac{15 B a^{2} b^{4} d}{4 e^{2}} + \frac{3 B a b^{5} d^{2}}{2 e^{3}} - \frac{B b^{6} d^{3}}{4 e^{4}}\right) + x^{3} \left(\frac{20 A a^{3} b^{3}}{3 e} - \frac{5 A a^{2} b^{4} d}{e^{2}} + \frac{2 A a b^{5} d^{2}}{e^{3}} - \frac{A b^{6} d^{3}}{3 e^{4}} + \frac{5 B a^{4} b^{2}}{e} - \frac{20 B a^{3} b^{3} d}{3 e^{2}} + \frac{5 B a^{2} b^{4} d^{2}}{e^{3}} - \frac{2 B a b^{5} d^{3}}{e^{4}} + \frac{B b^{6} d^{4}}{3 e^{5}}\right) + x^{2} \left(\frac{15 A a^{4} b^{2}}{2 e} - \frac{10 A a^{3} b^{3} d}{e^{2}} + \frac{15 A a^{2} b^{4} d^{2}}{2 e^{3}} - \frac{3 A a b^{5} d^{3}}{e^{4}} + \frac{A b^{6} d^{4}}{2 e^{5}} + \frac{3 B a^{5} b}{e} - \frac{15 B a^{4} b^{2} d}{2 e^{2}} + \frac{10 B a^{3} b^{3} d^{2}}{e^{3}} - \frac{15 B a^{2} b^{4} d^{3}}{2 e^{4}} + \frac{3 B a b^{5} d^{4}}{e^{5}} - \frac{B b^{6} d^{5}}{2 e^{6}}\right) + x \left(\frac{6 A a^{5} b}{e} - \frac{15 A a^{4} b^{2} d}{e^{2}} + \frac{20 A a^{3} b^{3} d^{2}}{e^{3}} - \frac{15 A a^{2} b^{4} d^{3}}{e^{4}} + \frac{6 A a b^{5} d^{4}}{e^{5}} - \frac{A b^{6} d^{5}}{e^{6}} + \frac{B a^{6}}{e} - \frac{6 B a^{5} b d}{e^{2}} + \frac{15 B a^{4} b^{2} d^{2}}{e^{3}} - \frac{20 B a^{3} b^{3} d^{3}}{e^{4}} + \frac{15 B a^{2} b^{4} d^{4}}{e^{5}} - \frac{6 B a b^{5} d^{5}}{e^{6}} + \frac{B b^{6} d^{6}}{e^{7}}\right) - \frac{\left(- A e + B d\right) \left(a e - b d\right)^{6} \log{\left(d + e x \right)}}{e^{8}}"," ",0,"B*b**6*x**7/(7*e) + x**6*(A*b**6/(6*e) + B*a*b**5/e - B*b**6*d/(6*e**2)) + x**5*(6*A*a*b**5/(5*e) - A*b**6*d/(5*e**2) + 3*B*a**2*b**4/e - 6*B*a*b**5*d/(5*e**2) + B*b**6*d**2/(5*e**3)) + x**4*(15*A*a**2*b**4/(4*e) - 3*A*a*b**5*d/(2*e**2) + A*b**6*d**2/(4*e**3) + 5*B*a**3*b**3/e - 15*B*a**2*b**4*d/(4*e**2) + 3*B*a*b**5*d**2/(2*e**3) - B*b**6*d**3/(4*e**4)) + x**3*(20*A*a**3*b**3/(3*e) - 5*A*a**2*b**4*d/e**2 + 2*A*a*b**5*d**2/e**3 - A*b**6*d**3/(3*e**4) + 5*B*a**4*b**2/e - 20*B*a**3*b**3*d/(3*e**2) + 5*B*a**2*b**4*d**2/e**3 - 2*B*a*b**5*d**3/e**4 + B*b**6*d**4/(3*e**5)) + x**2*(15*A*a**4*b**2/(2*e) - 10*A*a**3*b**3*d/e**2 + 15*A*a**2*b**4*d**2/(2*e**3) - 3*A*a*b**5*d**3/e**4 + A*b**6*d**4/(2*e**5) + 3*B*a**5*b/e - 15*B*a**4*b**2*d/(2*e**2) + 10*B*a**3*b**3*d**2/e**3 - 15*B*a**2*b**4*d**3/(2*e**4) + 3*B*a*b**5*d**4/e**5 - B*b**6*d**5/(2*e**6)) + x*(6*A*a**5*b/e - 15*A*a**4*b**2*d/e**2 + 20*A*a**3*b**3*d**2/e**3 - 15*A*a**2*b**4*d**3/e**4 + 6*A*a*b**5*d**4/e**5 - A*b**6*d**5/e**6 + B*a**6/e - 6*B*a**5*b*d/e**2 + 15*B*a**4*b**2*d**2/e**3 - 20*B*a**3*b**3*d**3/e**4 + 15*B*a**2*b**4*d**4/e**5 - 6*B*a*b**5*d**5/e**6 + B*b**6*d**6/e**7) - (-A*e + B*d)*(a*e - b*d)**6*log(d + e*x)/e**8","B",0
1061,1,782,0,4.058357," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**2,x)","\frac{B b^{6} x^{6}}{6 e^{2}} + x^{5} \left(\frac{A b^{6}}{5 e^{2}} + \frac{6 B a b^{5}}{5 e^{2}} - \frac{2 B b^{6} d}{5 e^{3}}\right) + x^{4} \left(\frac{3 A a b^{5}}{2 e^{2}} - \frac{A b^{6} d}{2 e^{3}} + \frac{15 B a^{2} b^{4}}{4 e^{2}} - \frac{3 B a b^{5} d}{e^{3}} + \frac{3 B b^{6} d^{2}}{4 e^{4}}\right) + x^{3} \left(\frac{5 A a^{2} b^{4}}{e^{2}} - \frac{4 A a b^{5} d}{e^{3}} + \frac{A b^{6} d^{2}}{e^{4}} + \frac{20 B a^{3} b^{3}}{3 e^{2}} - \frac{10 B a^{2} b^{4} d}{e^{3}} + \frac{6 B a b^{5} d^{2}}{e^{4}} - \frac{4 B b^{6} d^{3}}{3 e^{5}}\right) + x^{2} \left(\frac{10 A a^{3} b^{3}}{e^{2}} - \frac{15 A a^{2} b^{4} d}{e^{3}} + \frac{9 A a b^{5} d^{2}}{e^{4}} - \frac{2 A b^{6} d^{3}}{e^{5}} + \frac{15 B a^{4} b^{2}}{2 e^{2}} - \frac{20 B a^{3} b^{3} d}{e^{3}} + \frac{45 B a^{2} b^{4} d^{2}}{2 e^{4}} - \frac{12 B a b^{5} d^{3}}{e^{5}} + \frac{5 B b^{6} d^{4}}{2 e^{6}}\right) + x \left(\frac{15 A a^{4} b^{2}}{e^{2}} - \frac{40 A a^{3} b^{3} d}{e^{3}} + \frac{45 A a^{2} b^{4} d^{2}}{e^{4}} - \frac{24 A a b^{5} d^{3}}{e^{5}} + \frac{5 A b^{6} d^{4}}{e^{6}} + \frac{6 B a^{5} b}{e^{2}} - \frac{30 B a^{4} b^{2} d}{e^{3}} + \frac{60 B a^{3} b^{3} d^{2}}{e^{4}} - \frac{60 B a^{2} b^{4} d^{3}}{e^{5}} + \frac{30 B a b^{5} d^{4}}{e^{6}} - \frac{6 B b^{6} d^{5}}{e^{7}}\right) + \frac{- A a^{6} e^{7} + 6 A a^{5} b d e^{6} - 15 A a^{4} b^{2} d^{2} e^{5} + 20 A a^{3} b^{3} d^{3} e^{4} - 15 A a^{2} b^{4} d^{4} e^{3} + 6 A a b^{5} d^{5} e^{2} - A b^{6} d^{6} e + B a^{6} d e^{6} - 6 B a^{5} b d^{2} e^{5} + 15 B a^{4} b^{2} d^{3} e^{4} - 20 B a^{3} b^{3} d^{4} e^{3} + 15 B a^{2} b^{4} d^{5} e^{2} - 6 B a b^{5} d^{6} e + B b^{6} d^{7}}{d e^{8} + e^{9} x} + \frac{\left(a e - b d\right)^{5} \left(6 A b e + B a e - 7 B b d\right) \log{\left(d + e x \right)}}{e^{8}}"," ",0,"B*b**6*x**6/(6*e**2) + x**5*(A*b**6/(5*e**2) + 6*B*a*b**5/(5*e**2) - 2*B*b**6*d/(5*e**3)) + x**4*(3*A*a*b**5/(2*e**2) - A*b**6*d/(2*e**3) + 15*B*a**2*b**4/(4*e**2) - 3*B*a*b**5*d/e**3 + 3*B*b**6*d**2/(4*e**4)) + x**3*(5*A*a**2*b**4/e**2 - 4*A*a*b**5*d/e**3 + A*b**6*d**2/e**4 + 20*B*a**3*b**3/(3*e**2) - 10*B*a**2*b**4*d/e**3 + 6*B*a*b**5*d**2/e**4 - 4*B*b**6*d**3/(3*e**5)) + x**2*(10*A*a**3*b**3/e**2 - 15*A*a**2*b**4*d/e**3 + 9*A*a*b**5*d**2/e**4 - 2*A*b**6*d**3/e**5 + 15*B*a**4*b**2/(2*e**2) - 20*B*a**3*b**3*d/e**3 + 45*B*a**2*b**4*d**2/(2*e**4) - 12*B*a*b**5*d**3/e**5 + 5*B*b**6*d**4/(2*e**6)) + x*(15*A*a**4*b**2/e**2 - 40*A*a**3*b**3*d/e**3 + 45*A*a**2*b**4*d**2/e**4 - 24*A*a*b**5*d**3/e**5 + 5*A*b**6*d**4/e**6 + 6*B*a**5*b/e**2 - 30*B*a**4*b**2*d/e**3 + 60*B*a**3*b**3*d**2/e**4 - 60*B*a**2*b**4*d**3/e**5 + 30*B*a*b**5*d**4/e**6 - 6*B*b**6*d**5/e**7) + (-A*a**6*e**7 + 6*A*a**5*b*d*e**6 - 15*A*a**4*b**2*d**2*e**5 + 20*A*a**3*b**3*d**3*e**4 - 15*A*a**2*b**4*d**4*e**3 + 6*A*a*b**5*d**5*e**2 - A*b**6*d**6*e + B*a**6*d*e**6 - 6*B*a**5*b*d**2*e**5 + 15*B*a**4*b**2*d**3*e**4 - 20*B*a**3*b**3*d**4*e**3 + 15*B*a**2*b**4*d**5*e**2 - 6*B*a*b**5*d**6*e + B*b**6*d**7)/(d*e**8 + e**9*x) + (a*e - b*d)**5*(6*A*b*e + B*a*e - 7*B*b*d)*log(d + e*x)/e**8","B",0
1062,1,821,0,15.374229," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**3,x)","\frac{B b^{6} x^{5}}{5 e^{3}} + \frac{3 b \left(a e - b d\right)^{4} \left(5 A b e + 2 B a e - 7 B b d\right) \log{\left(d + e x \right)}}{e^{8}} + x^{4} \left(\frac{A b^{6}}{4 e^{3}} + \frac{3 B a b^{5}}{2 e^{3}} - \frac{3 B b^{6} d}{4 e^{4}}\right) + x^{3} \left(\frac{2 A a b^{5}}{e^{3}} - \frac{A b^{6} d}{e^{4}} + \frac{5 B a^{2} b^{4}}{e^{3}} - \frac{6 B a b^{5} d}{e^{4}} + \frac{2 B b^{6} d^{2}}{e^{5}}\right) + x^{2} \left(\frac{15 A a^{2} b^{4}}{2 e^{3}} - \frac{9 A a b^{5} d}{e^{4}} + \frac{3 A b^{6} d^{2}}{e^{5}} + \frac{10 B a^{3} b^{3}}{e^{3}} - \frac{45 B a^{2} b^{4} d}{2 e^{4}} + \frac{18 B a b^{5} d^{2}}{e^{5}} - \frac{5 B b^{6} d^{3}}{e^{6}}\right) + x \left(\frac{20 A a^{3} b^{3}}{e^{3}} - \frac{45 A a^{2} b^{4} d}{e^{4}} + \frac{36 A a b^{5} d^{2}}{e^{5}} - \frac{10 A b^{6} d^{3}}{e^{6}} + \frac{15 B a^{4} b^{2}}{e^{3}} - \frac{60 B a^{3} b^{3} d}{e^{4}} + \frac{90 B a^{2} b^{4} d^{2}}{e^{5}} - \frac{60 B a b^{5} d^{3}}{e^{6}} + \frac{15 B b^{6} d^{4}}{e^{7}}\right) + \frac{- A a^{6} e^{7} - 6 A a^{5} b d e^{6} + 45 A a^{4} b^{2} d^{2} e^{5} - 100 A a^{3} b^{3} d^{3} e^{4} + 105 A a^{2} b^{4} d^{4} e^{3} - 54 A a b^{5} d^{5} e^{2} + 11 A b^{6} d^{6} e - B a^{6} d e^{6} + 18 B a^{5} b d^{2} e^{5} - 75 B a^{4} b^{2} d^{3} e^{4} + 140 B a^{3} b^{3} d^{4} e^{3} - 135 B a^{2} b^{4} d^{5} e^{2} + 66 B a b^{5} d^{6} e - 13 B b^{6} d^{7} + x \left(- 12 A a^{5} b e^{7} + 60 A a^{4} b^{2} d e^{6} - 120 A a^{3} b^{3} d^{2} e^{5} + 120 A a^{2} b^{4} d^{3} e^{4} - 60 A a b^{5} d^{4} e^{3} + 12 A b^{6} d^{5} e^{2} - 2 B a^{6} e^{7} + 24 B a^{5} b d e^{6} - 90 B a^{4} b^{2} d^{2} e^{5} + 160 B a^{3} b^{3} d^{3} e^{4} - 150 B a^{2} b^{4} d^{4} e^{3} + 72 B a b^{5} d^{5} e^{2} - 14 B b^{6} d^{6} e\right)}{2 d^{2} e^{8} + 4 d e^{9} x + 2 e^{10} x^{2}}"," ",0,"B*b**6*x**5/(5*e**3) + 3*b*(a*e - b*d)**4*(5*A*b*e + 2*B*a*e - 7*B*b*d)*log(d + e*x)/e**8 + x**4*(A*b**6/(4*e**3) + 3*B*a*b**5/(2*e**3) - 3*B*b**6*d/(4*e**4)) + x**3*(2*A*a*b**5/e**3 - A*b**6*d/e**4 + 5*B*a**2*b**4/e**3 - 6*B*a*b**5*d/e**4 + 2*B*b**6*d**2/e**5) + x**2*(15*A*a**2*b**4/(2*e**3) - 9*A*a*b**5*d/e**4 + 3*A*b**6*d**2/e**5 + 10*B*a**3*b**3/e**3 - 45*B*a**2*b**4*d/(2*e**4) + 18*B*a*b**5*d**2/e**5 - 5*B*b**6*d**3/e**6) + x*(20*A*a**3*b**3/e**3 - 45*A*a**2*b**4*d/e**4 + 36*A*a*b**5*d**2/e**5 - 10*A*b**6*d**3/e**6 + 15*B*a**4*b**2/e**3 - 60*B*a**3*b**3*d/e**4 + 90*B*a**2*b**4*d**2/e**5 - 60*B*a*b**5*d**3/e**6 + 15*B*b**6*d**4/e**7) + (-A*a**6*e**7 - 6*A*a**5*b*d*e**6 + 45*A*a**4*b**2*d**2*e**5 - 100*A*a**3*b**3*d**3*e**4 + 105*A*a**2*b**4*d**4*e**3 - 54*A*a*b**5*d**5*e**2 + 11*A*b**6*d**6*e - B*a**6*d*e**6 + 18*B*a**5*b*d**2*e**5 - 75*B*a**4*b**2*d**3*e**4 + 140*B*a**3*b**3*d**4*e**3 - 135*B*a**2*b**4*d**5*e**2 + 66*B*a*b**5*d**6*e - 13*B*b**6*d**7 + x*(-12*A*a**5*b*e**7 + 60*A*a**4*b**2*d*e**6 - 120*A*a**3*b**3*d**2*e**5 + 120*A*a**2*b**4*d**3*e**4 - 60*A*a*b**5*d**4*e**3 + 12*A*b**6*d**5*e**2 - 2*B*a**6*e**7 + 24*B*a**5*b*d*e**6 - 90*B*a**4*b**2*d**2*e**5 + 160*B*a**3*b**3*d**3*e**4 - 150*B*a**2*b**4*d**4*e**3 + 72*B*a*b**5*d**5*e**2 - 14*B*b**6*d**6*e))/(2*d**2*e**8 + 4*d*e**9*x + 2*e**10*x**2)","B",0
1063,1,867,0,62.591403," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**4,x)","\frac{B b^{6} x^{4}}{4 e^{4}} + \frac{5 b^{2} \left(a e - b d\right)^{3} \left(4 A b e + 3 B a e - 7 B b d\right) \log{\left(d + e x \right)}}{e^{8}} + x^{3} \left(\frac{A b^{6}}{3 e^{4}} + \frac{2 B a b^{5}}{e^{4}} - \frac{4 B b^{6} d}{3 e^{5}}\right) + x^{2} \left(\frac{3 A a b^{5}}{e^{4}} - \frac{2 A b^{6} d}{e^{5}} + \frac{15 B a^{2} b^{4}}{2 e^{4}} - \frac{12 B a b^{5} d}{e^{5}} + \frac{5 B b^{6} d^{2}}{e^{6}}\right) + x \left(\frac{15 A a^{2} b^{4}}{e^{4}} - \frac{24 A a b^{5} d}{e^{5}} + \frac{10 A b^{6} d^{2}}{e^{6}} + \frac{20 B a^{3} b^{3}}{e^{4}} - \frac{60 B a^{2} b^{4} d}{e^{5}} + \frac{60 B a b^{5} d^{2}}{e^{6}} - \frac{20 B b^{6} d^{3}}{e^{7}}\right) + \frac{- 2 A a^{6} e^{7} - 6 A a^{5} b d e^{6} - 30 A a^{4} b^{2} d^{2} e^{5} + 220 A a^{3} b^{3} d^{3} e^{4} - 390 A a^{2} b^{4} d^{4} e^{3} + 282 A a b^{5} d^{5} e^{2} - 74 A b^{6} d^{6} e - B a^{6} d e^{6} - 12 B a^{5} b d^{2} e^{5} + 165 B a^{4} b^{2} d^{3} e^{4} - 520 B a^{3} b^{3} d^{4} e^{3} + 705 B a^{2} b^{4} d^{5} e^{2} - 444 B a b^{5} d^{6} e + 107 B b^{6} d^{7} + x^{2} \left(- 90 A a^{4} b^{2} e^{7} + 360 A a^{3} b^{3} d e^{6} - 540 A a^{2} b^{4} d^{2} e^{5} + 360 A a b^{5} d^{3} e^{4} - 90 A b^{6} d^{4} e^{3} - 36 B a^{5} b e^{7} + 270 B a^{4} b^{2} d e^{6} - 720 B a^{3} b^{3} d^{2} e^{5} + 900 B a^{2} b^{4} d^{3} e^{4} - 540 B a b^{5} d^{4} e^{3} + 126 B b^{6} d^{5} e^{2}\right) + x \left(- 18 A a^{5} b e^{7} - 90 A a^{4} b^{2} d e^{6} + 540 A a^{3} b^{3} d^{2} e^{5} - 900 A a^{2} b^{4} d^{3} e^{4} + 630 A a b^{5} d^{4} e^{3} - 162 A b^{6} d^{5} e^{2} - 3 B a^{6} e^{7} - 36 B a^{5} b d e^{6} + 405 B a^{4} b^{2} d^{2} e^{5} - 1200 B a^{3} b^{3} d^{3} e^{4} + 1575 B a^{2} b^{4} d^{4} e^{3} - 972 B a b^{5} d^{5} e^{2} + 231 B b^{6} d^{6} e\right)}{6 d^{3} e^{8} + 18 d^{2} e^{9} x + 18 d e^{10} x^{2} + 6 e^{11} x^{3}}"," ",0,"B*b**6*x**4/(4*e**4) + 5*b**2*(a*e - b*d)**3*(4*A*b*e + 3*B*a*e - 7*B*b*d)*log(d + e*x)/e**8 + x**3*(A*b**6/(3*e**4) + 2*B*a*b**5/e**4 - 4*B*b**6*d/(3*e**5)) + x**2*(3*A*a*b**5/e**4 - 2*A*b**6*d/e**5 + 15*B*a**2*b**4/(2*e**4) - 12*B*a*b**5*d/e**5 + 5*B*b**6*d**2/e**6) + x*(15*A*a**2*b**4/e**4 - 24*A*a*b**5*d/e**5 + 10*A*b**6*d**2/e**6 + 20*B*a**3*b**3/e**4 - 60*B*a**2*b**4*d/e**5 + 60*B*a*b**5*d**2/e**6 - 20*B*b**6*d**3/e**7) + (-2*A*a**6*e**7 - 6*A*a**5*b*d*e**6 - 30*A*a**4*b**2*d**2*e**5 + 220*A*a**3*b**3*d**3*e**4 - 390*A*a**2*b**4*d**4*e**3 + 282*A*a*b**5*d**5*e**2 - 74*A*b**6*d**6*e - B*a**6*d*e**6 - 12*B*a**5*b*d**2*e**5 + 165*B*a**4*b**2*d**3*e**4 - 520*B*a**3*b**3*d**4*e**3 + 705*B*a**2*b**4*d**5*e**2 - 444*B*a*b**5*d**6*e + 107*B*b**6*d**7 + x**2*(-90*A*a**4*b**2*e**7 + 360*A*a**3*b**3*d*e**6 - 540*A*a**2*b**4*d**2*e**5 + 360*A*a*b**5*d**3*e**4 - 90*A*b**6*d**4*e**3 - 36*B*a**5*b*e**7 + 270*B*a**4*b**2*d*e**6 - 720*B*a**3*b**3*d**2*e**5 + 900*B*a**2*b**4*d**3*e**4 - 540*B*a*b**5*d**4*e**3 + 126*B*b**6*d**5*e**2) + x*(-18*A*a**5*b*e**7 - 90*A*a**4*b**2*d*e**6 + 540*A*a**3*b**3*d**2*e**5 - 900*A*a**2*b**4*d**3*e**4 + 630*A*a*b**5*d**4*e**3 - 162*A*b**6*d**5*e**2 - 3*B*a**6*e**7 - 36*B*a**5*b*d*e**6 + 405*B*a**4*b**2*d**2*e**5 - 1200*B*a**3*b**3*d**3*e**4 + 1575*B*a**2*b**4*d**4*e**3 - 972*B*a*b**5*d**5*e**2 + 231*B*b**6*d**6*e))/(6*d**3*e**8 + 18*d**2*e**9*x + 18*d*e**10*x**2 + 6*e**11*x**3)","B",0
1064,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1065,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1066,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1067,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1068,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1069,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1070,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**11,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1071,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1072,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1073,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**14,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1074,-1,0,0,0.000000," ","integrate((b*x+a)**6*(B*x+A)/(e*x+d)**15,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1075,1,5092,0,0.730037," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**13,x)","A a^{10} d^{13} x + \frac{B b^{10} e^{13} x^{25}}{25} + x^{24} \left(\frac{A b^{10} e^{13}}{24} + \frac{5 B a b^{9} e^{13}}{12} + \frac{13 B b^{10} d e^{12}}{24}\right) + x^{23} \left(\frac{10 A a b^{9} e^{13}}{23} + \frac{13 A b^{10} d e^{12}}{23} + \frac{45 B a^{2} b^{8} e^{13}}{23} + \frac{130 B a b^{9} d e^{12}}{23} + \frac{78 B b^{10} d^{2} e^{11}}{23}\right) + x^{22} \left(\frac{45 A a^{2} b^{8} e^{13}}{22} + \frac{65 A a b^{9} d e^{12}}{11} + \frac{39 A b^{10} d^{2} e^{11}}{11} + \frac{60 B a^{3} b^{7} e^{13}}{11} + \frac{585 B a^{2} b^{8} d e^{12}}{22} + \frac{390 B a b^{9} d^{2} e^{11}}{11} + 13 B b^{10} d^{3} e^{10}\right) + x^{21} \left(\frac{40 A a^{3} b^{7} e^{13}}{7} + \frac{195 A a^{2} b^{8} d e^{12}}{7} + \frac{260 A a b^{9} d^{2} e^{11}}{7} + \frac{286 A b^{10} d^{3} e^{10}}{21} + 10 B a^{4} b^{6} e^{13} + \frac{520 B a^{3} b^{7} d e^{12}}{7} + \frac{1170 B a^{2} b^{8} d^{2} e^{11}}{7} + \frac{2860 B a b^{9} d^{3} e^{10}}{21} + \frac{715 B b^{10} d^{4} e^{9}}{21}\right) + x^{20} \left(\frac{21 A a^{4} b^{6} e^{13}}{2} + 78 A a^{3} b^{7} d e^{12} + \frac{351 A a^{2} b^{8} d^{2} e^{11}}{2} + 143 A a b^{9} d^{3} e^{10} + \frac{143 A b^{10} d^{4} e^{9}}{4} + \frac{63 B a^{5} b^{5} e^{13}}{5} + \frac{273 B a^{4} b^{6} d e^{12}}{2} + 468 B a^{3} b^{7} d^{2} e^{11} + \frac{1287 B a^{2} b^{8} d^{3} e^{10}}{2} + \frac{715 B a b^{9} d^{4} e^{9}}{2} + \frac{1287 B b^{10} d^{5} e^{8}}{20}\right) + x^{19} \left(\frac{252 A a^{5} b^{5} e^{13}}{19} + \frac{2730 A a^{4} b^{6} d e^{12}}{19} + \frac{9360 A a^{3} b^{7} d^{2} e^{11}}{19} + \frac{12870 A a^{2} b^{8} d^{3} e^{10}}{19} + \frac{7150 A a b^{9} d^{4} e^{9}}{19} + \frac{1287 A b^{10} d^{5} e^{8}}{19} + \frac{210 B a^{6} b^{4} e^{13}}{19} + \frac{3276 B a^{5} b^{5} d e^{12}}{19} + \frac{16380 B a^{4} b^{6} d^{2} e^{11}}{19} + \frac{34320 B a^{3} b^{7} d^{3} e^{10}}{19} + \frac{32175 B a^{2} b^{8} d^{4} e^{9}}{19} + \frac{12870 B a b^{9} d^{5} e^{8}}{19} + \frac{1716 B b^{10} d^{6} e^{7}}{19}\right) + x^{18} \left(\frac{35 A a^{6} b^{4} e^{13}}{3} + 182 A a^{5} b^{5} d e^{12} + 910 A a^{4} b^{6} d^{2} e^{11} + \frac{5720 A a^{3} b^{7} d^{3} e^{10}}{3} + \frac{3575 A a^{2} b^{8} d^{4} e^{9}}{2} + 715 A a b^{9} d^{5} e^{8} + \frac{286 A b^{10} d^{6} e^{7}}{3} + \frac{20 B a^{7} b^{3} e^{13}}{3} + \frac{455 B a^{6} b^{4} d e^{12}}{3} + 1092 B a^{5} b^{5} d^{2} e^{11} + \frac{10010 B a^{4} b^{6} d^{3} e^{10}}{3} + \frac{14300 B a^{3} b^{7} d^{4} e^{9}}{3} + \frac{6435 B a^{2} b^{8} d^{5} e^{8}}{2} + \frac{2860 B a b^{9} d^{6} e^{7}}{3} + \frac{286 B b^{10} d^{7} e^{6}}{3}\right) + x^{17} \left(\frac{120 A a^{7} b^{3} e^{13}}{17} + \frac{2730 A a^{6} b^{4} d e^{12}}{17} + \frac{19656 A a^{5} b^{5} d^{2} e^{11}}{17} + \frac{60060 A a^{4} b^{6} d^{3} e^{10}}{17} + \frac{85800 A a^{3} b^{7} d^{4} e^{9}}{17} + \frac{57915 A a^{2} b^{8} d^{5} e^{8}}{17} + \frac{17160 A a b^{9} d^{6} e^{7}}{17} + \frac{1716 A b^{10} d^{7} e^{6}}{17} + \frac{45 B a^{8} b^{2} e^{13}}{17} + \frac{1560 B a^{7} b^{3} d e^{12}}{17} + \frac{16380 B a^{6} b^{4} d^{2} e^{11}}{17} + \frac{72072 B a^{5} b^{5} d^{3} e^{10}}{17} + \frac{150150 B a^{4} b^{6} d^{4} e^{9}}{17} + \frac{154440 B a^{3} b^{7} d^{5} e^{8}}{17} + \frac{77220 B a^{2} b^{8} d^{6} e^{7}}{17} + \frac{17160 B a b^{9} d^{7} e^{6}}{17} + \frac{1287 B b^{10} d^{8} e^{5}}{17}\right) + x^{16} \left(\frac{45 A a^{8} b^{2} e^{13}}{16} + \frac{195 A a^{7} b^{3} d e^{12}}{2} + \frac{4095 A a^{6} b^{4} d^{2} e^{11}}{4} + \frac{9009 A a^{5} b^{5} d^{3} e^{10}}{2} + \frac{75075 A a^{4} b^{6} d^{4} e^{9}}{8} + \frac{19305 A a^{3} b^{7} d^{5} e^{8}}{2} + \frac{19305 A a^{2} b^{8} d^{6} e^{7}}{4} + \frac{2145 A a b^{9} d^{7} e^{6}}{2} + \frac{1287 A b^{10} d^{8} e^{5}}{16} + \frac{5 B a^{9} b e^{13}}{8} + \frac{585 B a^{8} b^{2} d e^{12}}{16} + 585 B a^{7} b^{3} d^{2} e^{11} + \frac{15015 B a^{6} b^{4} d^{3} e^{10}}{4} + \frac{45045 B a^{5} b^{5} d^{4} e^{9}}{4} + \frac{135135 B a^{4} b^{6} d^{5} e^{8}}{8} + 12870 B a^{3} b^{7} d^{6} e^{7} + \frac{19305 B a^{2} b^{8} d^{7} e^{6}}{4} + \frac{6435 B a b^{9} d^{8} e^{5}}{8} + \frac{715 B b^{10} d^{9} e^{4}}{16}\right) + x^{15} \left(\frac{2 A a^{9} b e^{13}}{3} + 39 A a^{8} b^{2} d e^{12} + 624 A a^{7} b^{3} d^{2} e^{11} + 4004 A a^{6} b^{4} d^{3} e^{10} + 12012 A a^{5} b^{5} d^{4} e^{9} + 18018 A a^{4} b^{6} d^{5} e^{8} + 13728 A a^{3} b^{7} d^{6} e^{7} + 5148 A a^{2} b^{8} d^{7} e^{6} + 858 A a b^{9} d^{8} e^{5} + \frac{143 A b^{10} d^{9} e^{4}}{3} + \frac{B a^{10} e^{13}}{15} + \frac{26 B a^{9} b d e^{12}}{3} + 234 B a^{8} b^{2} d^{2} e^{11} + 2288 B a^{7} b^{3} d^{3} e^{10} + 10010 B a^{6} b^{4} d^{4} e^{9} + \frac{108108 B a^{5} b^{5} d^{5} e^{8}}{5} + 24024 B a^{4} b^{6} d^{6} e^{7} + 13728 B a^{3} b^{7} d^{7} e^{6} + 3861 B a^{2} b^{8} d^{8} e^{5} + \frac{1430 B a b^{9} d^{9} e^{4}}{3} + \frac{286 B b^{10} d^{10} e^{3}}{15}\right) + x^{14} \left(\frac{A a^{10} e^{13}}{14} + \frac{65 A a^{9} b d e^{12}}{7} + \frac{1755 A a^{8} b^{2} d^{2} e^{11}}{7} + \frac{17160 A a^{7} b^{3} d^{3} e^{10}}{7} + 10725 A a^{6} b^{4} d^{4} e^{9} + 23166 A a^{5} b^{5} d^{5} e^{8} + 25740 A a^{4} b^{6} d^{6} e^{7} + \frac{102960 A a^{3} b^{7} d^{7} e^{6}}{7} + \frac{57915 A a^{2} b^{8} d^{8} e^{5}}{14} + \frac{3575 A a b^{9} d^{9} e^{4}}{7} + \frac{143 A b^{10} d^{10} e^{3}}{7} + \frac{13 B a^{10} d e^{12}}{14} + \frac{390 B a^{9} b d^{2} e^{11}}{7} + \frac{6435 B a^{8} b^{2} d^{3} e^{10}}{7} + \frac{42900 B a^{7} b^{3} d^{4} e^{9}}{7} + 19305 B a^{6} b^{4} d^{5} e^{8} + 30888 B a^{5} b^{5} d^{6} e^{7} + 25740 B a^{4} b^{6} d^{7} e^{6} + \frac{77220 B a^{3} b^{7} d^{8} e^{5}}{7} + \frac{32175 B a^{2} b^{8} d^{9} e^{4}}{14} + \frac{1430 B a b^{9} d^{10} e^{3}}{7} + \frac{39 B b^{10} d^{11} e^{2}}{7}\right) + x^{13} \left(A a^{10} d e^{12} + 60 A a^{9} b d^{2} e^{11} + 990 A a^{8} b^{2} d^{3} e^{10} + 6600 A a^{7} b^{3} d^{4} e^{9} + 20790 A a^{6} b^{4} d^{5} e^{8} + 33264 A a^{5} b^{5} d^{6} e^{7} + 27720 A a^{4} b^{6} d^{7} e^{6} + 11880 A a^{3} b^{7} d^{8} e^{5} + 2475 A a^{2} b^{8} d^{9} e^{4} + 220 A a b^{9} d^{10} e^{3} + 6 A b^{10} d^{11} e^{2} + 6 B a^{10} d^{2} e^{11} + 220 B a^{9} b d^{3} e^{10} + 2475 B a^{8} b^{2} d^{4} e^{9} + 11880 B a^{7} b^{3} d^{5} e^{8} + 27720 B a^{6} b^{4} d^{6} e^{7} + 33264 B a^{5} b^{5} d^{7} e^{6} + 20790 B a^{4} b^{6} d^{8} e^{5} + 6600 B a^{3} b^{7} d^{9} e^{4} + 990 B a^{2} b^{8} d^{10} e^{3} + 60 B a b^{9} d^{11} e^{2} + B b^{10} d^{12} e\right) + x^{12} \left(\frac{13 A a^{10} d^{2} e^{11}}{2} + \frac{715 A a^{9} b d^{3} e^{10}}{3} + \frac{10725 A a^{8} b^{2} d^{4} e^{9}}{4} + 12870 A a^{7} b^{3} d^{5} e^{8} + 30030 A a^{6} b^{4} d^{6} e^{7} + 36036 A a^{5} b^{5} d^{7} e^{6} + \frac{45045 A a^{4} b^{6} d^{8} e^{5}}{2} + 7150 A a^{3} b^{7} d^{9} e^{4} + \frac{2145 A a^{2} b^{8} d^{10} e^{3}}{2} + 65 A a b^{9} d^{11} e^{2} + \frac{13 A b^{10} d^{12} e}{12} + \frac{143 B a^{10} d^{3} e^{10}}{6} + \frac{3575 B a^{9} b d^{4} e^{9}}{6} + \frac{19305 B a^{8} b^{2} d^{5} e^{8}}{4} + 17160 B a^{7} b^{3} d^{6} e^{7} + 30030 B a^{6} b^{4} d^{7} e^{6} + 27027 B a^{5} b^{5} d^{8} e^{5} + \frac{25025 B a^{4} b^{6} d^{9} e^{4}}{2} + 2860 B a^{3} b^{7} d^{10} e^{3} + \frac{585 B a^{2} b^{8} d^{11} e^{2}}{2} + \frac{65 B a b^{9} d^{12} e}{6} + \frac{B b^{10} d^{13}}{12}\right) + x^{11} \left(26 A a^{10} d^{3} e^{10} + 650 A a^{9} b d^{4} e^{9} + 5265 A a^{8} b^{2} d^{5} e^{8} + 18720 A a^{7} b^{3} d^{6} e^{7} + 32760 A a^{6} b^{4} d^{7} e^{6} + 29484 A a^{5} b^{5} d^{8} e^{5} + 13650 A a^{4} b^{6} d^{9} e^{4} + 3120 A a^{3} b^{7} d^{10} e^{3} + \frac{3510 A a^{2} b^{8} d^{11} e^{2}}{11} + \frac{130 A a b^{9} d^{12} e}{11} + \frac{A b^{10} d^{13}}{11} + 65 B a^{10} d^{4} e^{9} + 1170 B a^{9} b d^{5} e^{8} + 7020 B a^{8} b^{2} d^{6} e^{7} + 18720 B a^{7} b^{3} d^{7} e^{6} + 24570 B a^{6} b^{4} d^{8} e^{5} + 16380 B a^{5} b^{5} d^{9} e^{4} + 5460 B a^{4} b^{6} d^{10} e^{3} + \frac{9360 B a^{3} b^{7} d^{11} e^{2}}{11} + \frac{585 B a^{2} b^{8} d^{12} e}{11} + \frac{10 B a b^{9} d^{13}}{11}\right) + x^{10} \left(\frac{143 A a^{10} d^{4} e^{9}}{2} + 1287 A a^{9} b d^{5} e^{8} + 7722 A a^{8} b^{2} d^{6} e^{7} + 20592 A a^{7} b^{3} d^{7} e^{6} + 27027 A a^{6} b^{4} d^{8} e^{5} + 18018 A a^{5} b^{5} d^{9} e^{4} + 6006 A a^{4} b^{6} d^{10} e^{3} + 936 A a^{3} b^{7} d^{11} e^{2} + \frac{117 A a^{2} b^{8} d^{12} e}{2} + A a b^{9} d^{13} + \frac{1287 B a^{10} d^{5} e^{8}}{10} + 1716 B a^{9} b d^{6} e^{7} + 7722 B a^{8} b^{2} d^{7} e^{6} + 15444 B a^{7} b^{3} d^{8} e^{5} + 15015 B a^{6} b^{4} d^{9} e^{4} + \frac{36036 B a^{5} b^{5} d^{10} e^{3}}{5} + 1638 B a^{4} b^{6} d^{11} e^{2} + 156 B a^{3} b^{7} d^{12} e + \frac{9 B a^{2} b^{8} d^{13}}{2}\right) + x^{9} \left(143 A a^{10} d^{5} e^{8} + \frac{5720 A a^{9} b d^{6} e^{7}}{3} + 8580 A a^{8} b^{2} d^{7} e^{6} + 17160 A a^{7} b^{3} d^{8} e^{5} + \frac{50050 A a^{6} b^{4} d^{9} e^{4}}{3} + 8008 A a^{5} b^{5} d^{10} e^{3} + 1820 A a^{4} b^{6} d^{11} e^{2} + \frac{520 A a^{3} b^{7} d^{12} e}{3} + 5 A a^{2} b^{8} d^{13} + \frac{572 B a^{10} d^{6} e^{7}}{3} + \frac{5720 B a^{9} b d^{7} e^{6}}{3} + 6435 B a^{8} b^{2} d^{8} e^{5} + \frac{28600 B a^{7} b^{3} d^{9} e^{4}}{3} + \frac{20020 B a^{6} b^{4} d^{10} e^{3}}{3} + 2184 B a^{5} b^{5} d^{11} e^{2} + \frac{910 B a^{4} b^{6} d^{12} e}{3} + \frac{40 B a^{3} b^{7} d^{13}}{3}\right) + x^{8} \left(\frac{429 A a^{10} d^{6} e^{7}}{2} + 2145 A a^{9} b d^{7} e^{6} + \frac{57915 A a^{8} b^{2} d^{8} e^{5}}{8} + 10725 A a^{7} b^{3} d^{9} e^{4} + \frac{15015 A a^{6} b^{4} d^{10} e^{3}}{2} + 2457 A a^{5} b^{5} d^{11} e^{2} + \frac{1365 A a^{4} b^{6} d^{12} e}{4} + 15 A a^{3} b^{7} d^{13} + \frac{429 B a^{10} d^{7} e^{6}}{2} + \frac{6435 B a^{9} b d^{8} e^{5}}{4} + \frac{32175 B a^{8} b^{2} d^{9} e^{4}}{8} + 4290 B a^{7} b^{3} d^{10} e^{3} + \frac{4095 B a^{6} b^{4} d^{11} e^{2}}{2} + \frac{819 B a^{5} b^{5} d^{12} e}{2} + \frac{105 B a^{4} b^{6} d^{13}}{4}\right) + x^{7} \left(\frac{1716 A a^{10} d^{7} e^{6}}{7} + \frac{12870 A a^{9} b d^{8} e^{5}}{7} + \frac{32175 A a^{8} b^{2} d^{9} e^{4}}{7} + \frac{34320 A a^{7} b^{3} d^{10} e^{3}}{7} + 2340 A a^{6} b^{4} d^{11} e^{2} + 468 A a^{5} b^{5} d^{12} e + 30 A a^{4} b^{6} d^{13} + \frac{1287 B a^{10} d^{8} e^{5}}{7} + \frac{7150 B a^{9} b d^{9} e^{4}}{7} + \frac{12870 B a^{8} b^{2} d^{10} e^{3}}{7} + \frac{9360 B a^{7} b^{3} d^{11} e^{2}}{7} + 390 B a^{6} b^{4} d^{12} e + 36 B a^{5} b^{5} d^{13}\right) + x^{6} \left(\frac{429 A a^{10} d^{8} e^{5}}{2} + \frac{3575 A a^{9} b d^{9} e^{4}}{3} + 2145 A a^{8} b^{2} d^{10} e^{3} + 1560 A a^{7} b^{3} d^{11} e^{2} + 455 A a^{6} b^{4} d^{12} e + 42 A a^{5} b^{5} d^{13} + \frac{715 B a^{10} d^{9} e^{4}}{6} + \frac{1430 B a^{9} b d^{10} e^{3}}{3} + 585 B a^{8} b^{2} d^{11} e^{2} + 260 B a^{7} b^{3} d^{12} e + 35 B a^{6} b^{4} d^{13}\right) + x^{5} \left(143 A a^{10} d^{9} e^{4} + 572 A a^{9} b d^{10} e^{3} + 702 A a^{8} b^{2} d^{11} e^{2} + 312 A a^{7} b^{3} d^{12} e + 42 A a^{6} b^{4} d^{13} + \frac{286 B a^{10} d^{10} e^{3}}{5} + 156 B a^{9} b d^{11} e^{2} + 117 B a^{8} b^{2} d^{12} e + 24 B a^{7} b^{3} d^{13}\right) + x^{4} \left(\frac{143 A a^{10} d^{10} e^{3}}{2} + 195 A a^{9} b d^{11} e^{2} + \frac{585 A a^{8} b^{2} d^{12} e}{4} + 30 A a^{7} b^{3} d^{13} + \frac{39 B a^{10} d^{11} e^{2}}{2} + \frac{65 B a^{9} b d^{12} e}{2} + \frac{45 B a^{8} b^{2} d^{13}}{4}\right) + x^{3} \left(26 A a^{10} d^{11} e^{2} + \frac{130 A a^{9} b d^{12} e}{3} + 15 A a^{8} b^{2} d^{13} + \frac{13 B a^{10} d^{12} e}{3} + \frac{10 B a^{9} b d^{13}}{3}\right) + x^{2} \left(\frac{13 A a^{10} d^{12} e}{2} + 5 A a^{9} b d^{13} + \frac{B a^{10} d^{13}}{2}\right)"," ",0,"A*a**10*d**13*x + B*b**10*e**13*x**25/25 + x**24*(A*b**10*e**13/24 + 5*B*a*b**9*e**13/12 + 13*B*b**10*d*e**12/24) + x**23*(10*A*a*b**9*e**13/23 + 13*A*b**10*d*e**12/23 + 45*B*a**2*b**8*e**13/23 + 130*B*a*b**9*d*e**12/23 + 78*B*b**10*d**2*e**11/23) + x**22*(45*A*a**2*b**8*e**13/22 + 65*A*a*b**9*d*e**12/11 + 39*A*b**10*d**2*e**11/11 + 60*B*a**3*b**7*e**13/11 + 585*B*a**2*b**8*d*e**12/22 + 390*B*a*b**9*d**2*e**11/11 + 13*B*b**10*d**3*e**10) + x**21*(40*A*a**3*b**7*e**13/7 + 195*A*a**2*b**8*d*e**12/7 + 260*A*a*b**9*d**2*e**11/7 + 286*A*b**10*d**3*e**10/21 + 10*B*a**4*b**6*e**13 + 520*B*a**3*b**7*d*e**12/7 + 1170*B*a**2*b**8*d**2*e**11/7 + 2860*B*a*b**9*d**3*e**10/21 + 715*B*b**10*d**4*e**9/21) + x**20*(21*A*a**4*b**6*e**13/2 + 78*A*a**3*b**7*d*e**12 + 351*A*a**2*b**8*d**2*e**11/2 + 143*A*a*b**9*d**3*e**10 + 143*A*b**10*d**4*e**9/4 + 63*B*a**5*b**5*e**13/5 + 273*B*a**4*b**6*d*e**12/2 + 468*B*a**3*b**7*d**2*e**11 + 1287*B*a**2*b**8*d**3*e**10/2 + 715*B*a*b**9*d**4*e**9/2 + 1287*B*b**10*d**5*e**8/20) + x**19*(252*A*a**5*b**5*e**13/19 + 2730*A*a**4*b**6*d*e**12/19 + 9360*A*a**3*b**7*d**2*e**11/19 + 12870*A*a**2*b**8*d**3*e**10/19 + 7150*A*a*b**9*d**4*e**9/19 + 1287*A*b**10*d**5*e**8/19 + 210*B*a**6*b**4*e**13/19 + 3276*B*a**5*b**5*d*e**12/19 + 16380*B*a**4*b**6*d**2*e**11/19 + 34320*B*a**3*b**7*d**3*e**10/19 + 32175*B*a**2*b**8*d**4*e**9/19 + 12870*B*a*b**9*d**5*e**8/19 + 1716*B*b**10*d**6*e**7/19) + x**18*(35*A*a**6*b**4*e**13/3 + 182*A*a**5*b**5*d*e**12 + 910*A*a**4*b**6*d**2*e**11 + 5720*A*a**3*b**7*d**3*e**10/3 + 3575*A*a**2*b**8*d**4*e**9/2 + 715*A*a*b**9*d**5*e**8 + 286*A*b**10*d**6*e**7/3 + 20*B*a**7*b**3*e**13/3 + 455*B*a**6*b**4*d*e**12/3 + 1092*B*a**5*b**5*d**2*e**11 + 10010*B*a**4*b**6*d**3*e**10/3 + 14300*B*a**3*b**7*d**4*e**9/3 + 6435*B*a**2*b**8*d**5*e**8/2 + 2860*B*a*b**9*d**6*e**7/3 + 286*B*b**10*d**7*e**6/3) + x**17*(120*A*a**7*b**3*e**13/17 + 2730*A*a**6*b**4*d*e**12/17 + 19656*A*a**5*b**5*d**2*e**11/17 + 60060*A*a**4*b**6*d**3*e**10/17 + 85800*A*a**3*b**7*d**4*e**9/17 + 57915*A*a**2*b**8*d**5*e**8/17 + 17160*A*a*b**9*d**6*e**7/17 + 1716*A*b**10*d**7*e**6/17 + 45*B*a**8*b**2*e**13/17 + 1560*B*a**7*b**3*d*e**12/17 + 16380*B*a**6*b**4*d**2*e**11/17 + 72072*B*a**5*b**5*d**3*e**10/17 + 150150*B*a**4*b**6*d**4*e**9/17 + 154440*B*a**3*b**7*d**5*e**8/17 + 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702*A*a**8*b**2*d**11*e**2 + 312*A*a**7*b**3*d**12*e + 42*A*a**6*b**4*d**13 + 286*B*a**10*d**10*e**3/5 + 156*B*a**9*b*d**11*e**2 + 117*B*a**8*b**2*d**12*e + 24*B*a**7*b**3*d**13) + x**4*(143*A*a**10*d**10*e**3/2 + 195*A*a**9*b*d**11*e**2 + 585*A*a**8*b**2*d**12*e/4 + 30*A*a**7*b**3*d**13 + 39*B*a**10*d**11*e**2/2 + 65*B*a**9*b*d**12*e/2 + 45*B*a**8*b**2*d**13/4) + x**3*(26*A*a**10*d**11*e**2 + 130*A*a**9*b*d**12*e/3 + 15*A*a**8*b**2*d**13 + 13*B*a**10*d**12*e/3 + 10*B*a**9*b*d**13/3) + x**2*(13*A*a**10*d**12*e/2 + 5*A*a**9*b*d**13 + B*a**10*d**13/2)","B",0
1076,1,4655,0,0.682315," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**12,x)","A a^{10} d^{12} x + \frac{B b^{10} e^{12} x^{24}}{24} + x^{23} \left(\frac{A b^{10} e^{12}}{23} + \frac{10 B a b^{9} e^{12}}{23} + \frac{12 B b^{10} d e^{11}}{23}\right) + x^{22} \left(\frac{5 A a b^{9} e^{12}}{11} + \frac{6 A b^{10} d e^{11}}{11} + \frac{45 B a^{2} b^{8} e^{12}}{22} + \frac{60 B a b^{9} d e^{11}}{11} + 3 B b^{10} d^{2} e^{10}\right) + x^{21} \left(\frac{15 A a^{2} b^{8} e^{12}}{7} + \frac{40 A a b^{9} d e^{11}}{7} + \frac{22 A b^{10} d^{2} e^{10}}{7} + \frac{40 B a^{3} b^{7} e^{12}}{7} + \frac{180 B a^{2} b^{8} d e^{11}}{7} + \frac{220 B a b^{9} d^{2} e^{10}}{7} + \frac{220 B b^{10} d^{3} e^{9}}{21}\right) + x^{20} \left(6 A a^{3} b^{7} e^{12} + 27 A a^{2} b^{8} d e^{11} + 33 A a b^{9} d^{2} e^{10} + 11 A b^{10} d^{3} e^{9} + \frac{21 B a^{4} b^{6} e^{12}}{2} + 72 B a^{3} b^{7} d e^{11} + \frac{297 B a^{2} b^{8} d^{2} e^{10}}{2} + 110 B a b^{9} d^{3} e^{9} + \frac{99 B b^{10} d^{4} e^{8}}{4}\right) + x^{19} \left(\frac{210 A a^{4} b^{6} e^{12}}{19} + \frac{1440 A a^{3} b^{7} d e^{11}}{19} + \frac{2970 A a^{2} b^{8} d^{2} e^{10}}{19} + \frac{2200 A a b^{9} d^{3} e^{9}}{19} + \frac{495 A b^{10} d^{4} e^{8}}{19} + \frac{252 B a^{5} b^{5} e^{12}}{19} + \frac{2520 B a^{4} b^{6} d e^{11}}{19} + \frac{7920 B a^{3} b^{7} d^{2} e^{10}}{19} + \frac{9900 B a^{2} b^{8} d^{3} e^{9}}{19} + \frac{4950 B a b^{9} d^{4} e^{8}}{19} + \frac{792 B b^{10} d^{5} e^{7}}{19}\right) + x^{18} \left(14 A a^{5} b^{5} e^{12} + 140 A a^{4} b^{6} d e^{11} + 440 A a^{3} b^{7} d^{2} e^{10} + 550 A a^{2} b^{8} d^{3} e^{9} + 275 A a b^{9} d^{4} e^{8} + 44 A b^{10} d^{5} e^{7} + \frac{35 B a^{6} b^{4} e^{12}}{3} + 168 B a^{5} b^{5} d e^{11} + 770 B a^{4} b^{6} d^{2} e^{10} + \frac{4400 B a^{3} b^{7} d^{3} e^{9}}{3} + \frac{2475 B a^{2} b^{8} d^{4} e^{8}}{2} + 440 B a b^{9} d^{5} e^{7} + \frac{154 B b^{10} d^{6} e^{6}}{3}\right) + x^{17} \left(\frac{210 A a^{6} b^{4} e^{12}}{17} + \frac{3024 A a^{5} b^{5} d e^{11}}{17} + \frac{13860 A a^{4} b^{6} d^{2} e^{10}}{17} + \frac{26400 A a^{3} b^{7} d^{3} e^{9}}{17} + \frac{22275 A a^{2} b^{8} d^{4} e^{8}}{17} + \frac{7920 A a b^{9} d^{5} e^{7}}{17} + \frac{924 A b^{10} d^{6} e^{6}}{17} + \frac{120 B a^{7} b^{3} e^{12}}{17} + \frac{2520 B a^{6} b^{4} d e^{11}}{17} + \frac{16632 B a^{5} b^{5} d^{2} e^{10}}{17} + \frac{46200 B a^{4} b^{6} d^{3} e^{9}}{17} + \frac{59400 B a^{3} b^{7} d^{4} e^{8}}{17} + \frac{35640 B a^{2} b^{8} d^{5} e^{7}}{17} + \frac{9240 B a b^{9} d^{6} e^{6}}{17} + \frac{792 B b^{10} d^{7} e^{5}}{17}\right) + x^{16} \left(\frac{15 A a^{7} b^{3} e^{12}}{2} + \frac{315 A a^{6} b^{4} d e^{11}}{2} + \frac{2079 A a^{5} b^{5} d^{2} e^{10}}{2} + \frac{5775 A a^{4} b^{6} d^{3} e^{9}}{2} + \frac{7425 A a^{3} b^{7} d^{4} e^{8}}{2} + \frac{4455 A a^{2} b^{8} d^{5} e^{7}}{2} + \frac{1155 A a b^{9} d^{6} e^{6}}{2} + \frac{99 A b^{10} d^{7} e^{5}}{2} + \frac{45 B a^{8} b^{2} e^{12}}{16} + 90 B a^{7} b^{3} d e^{11} + \frac{3465 B a^{6} b^{4} d^{2} e^{10}}{4} + 3465 B a^{5} b^{5} d^{3} e^{9} + \frac{51975 B a^{4} b^{6} d^{4} e^{8}}{8} + 5940 B a^{3} b^{7} d^{5} e^{7} + \frac{10395 B a^{2} b^{8} d^{6} e^{6}}{4} + 495 B a b^{9} d^{7} e^{5} + \frac{495 B b^{10} d^{8} e^{4}}{16}\right) + x^{15} \left(3 A a^{8} b^{2} e^{12} + 96 A a^{7} b^{3} d e^{11} + 924 A a^{6} b^{4} d^{2} e^{10} + 3696 A a^{5} b^{5} d^{3} e^{9} + 6930 A a^{4} b^{6} d^{4} e^{8} + 6336 A a^{3} b^{7} d^{5} e^{7} + 2772 A a^{2} b^{8} d^{6} e^{6} + 528 A a b^{9} d^{7} e^{5} + 33 A b^{10} d^{8} e^{4} + \frac{2 B a^{9} b e^{12}}{3} + 36 B a^{8} b^{2} d e^{11} + 528 B a^{7} b^{3} d^{2} e^{10} + 3080 B a^{6} b^{4} d^{3} e^{9} + 8316 B a^{5} b^{5} d^{4} e^{8} + 11088 B a^{4} b^{6} d^{5} e^{7} + 7392 B a^{3} b^{7} d^{6} e^{6} + 2376 B a^{2} b^{8} d^{7} e^{5} + 330 B a b^{9} d^{8} e^{4} + \frac{44 B b^{10} d^{9} e^{3}}{3}\right) + x^{14} \left(\frac{5 A a^{9} b e^{12}}{7} + \frac{270 A a^{8} b^{2} d e^{11}}{7} + \frac{3960 A a^{7} b^{3} d^{2} e^{10}}{7} + 3300 A a^{6} b^{4} d^{3} e^{9} + 8910 A a^{5} b^{5} d^{4} e^{8} + 11880 A a^{4} b^{6} d^{5} e^{7} + 7920 A a^{3} b^{7} d^{6} e^{6} + \frac{17820 A a^{2} b^{8} d^{7} e^{5}}{7} + \frac{2475 A a b^{9} d^{8} e^{4}}{7} + \frac{110 A b^{10} d^{9} e^{3}}{7} + \frac{B a^{10} e^{12}}{14} + \frac{60 B a^{9} b d e^{11}}{7} + \frac{1485 B a^{8} b^{2} d^{2} e^{10}}{7} + \frac{13200 B a^{7} b^{3} d^{3} e^{9}}{7} + 7425 B a^{6} b^{4} d^{4} e^{8} + 14256 B a^{5} b^{5} d^{5} e^{7} + 13860 B a^{4} b^{6} d^{6} e^{6} + \frac{47520 B a^{3} b^{7} d^{7} e^{5}}{7} + \frac{22275 B a^{2} b^{8} d^{8} e^{4}}{14} + \frac{1100 B a b^{9} d^{9} e^{3}}{7} + \frac{33 B b^{10} d^{10} e^{2}}{7}\right) + x^{13} \left(\frac{A a^{10} e^{12}}{13} + \frac{120 A a^{9} b d e^{11}}{13} + \frac{2970 A a^{8} b^{2} d^{2} e^{10}}{13} + \frac{26400 A a^{7} b^{3} d^{3} e^{9}}{13} + \frac{103950 A a^{6} b^{4} d^{4} e^{8}}{13} + \frac{199584 A a^{5} b^{5} d^{5} e^{7}}{13} + \frac{194040 A a^{4} b^{6} d^{6} e^{6}}{13} + \frac{95040 A a^{3} b^{7} d^{7} e^{5}}{13} + \frac{22275 A a^{2} b^{8} d^{8} e^{4}}{13} + \frac{2200 A a b^{9} d^{9} e^{3}}{13} + \frac{66 A b^{10} d^{10} e^{2}}{13} + \frac{12 B a^{10} d e^{11}}{13} + \frac{660 B a^{9} b d^{2} e^{10}}{13} + \frac{9900 B a^{8} b^{2} d^{3} e^{9}}{13} + \frac{59400 B a^{7} b^{3} d^{4} e^{8}}{13} + \frac{166320 B a^{6} b^{4} d^{5} e^{7}}{13} + \frac{232848 B a^{5} b^{5} d^{6} e^{6}}{13} + \frac{166320 B a^{4} b^{6} d^{7} e^{5}}{13} + \frac{59400 B a^{3} b^{7} d^{8} e^{4}}{13} + \frac{9900 B a^{2} b^{8} d^{9} e^{3}}{13} + \frac{660 B a b^{9} d^{10} e^{2}}{13} + \frac{12 B b^{10} d^{11} e}{13}\right) + x^{12} \left(A a^{10} d e^{11} + 55 A a^{9} b d^{2} e^{10} + 825 A a^{8} b^{2} d^{3} e^{9} + 4950 A a^{7} b^{3} d^{4} e^{8} + 13860 A a^{6} b^{4} d^{5} e^{7} + 19404 A a^{5} b^{5} d^{6} e^{6} + 13860 A a^{4} b^{6} d^{7} e^{5} + 4950 A a^{3} b^{7} d^{8} e^{4} + 825 A a^{2} b^{8} d^{9} e^{3} + 55 A a b^{9} d^{10} e^{2} + A b^{10} d^{11} e + \frac{11 B a^{10} d^{2} e^{10}}{2} + \frac{550 B a^{9} b d^{3} e^{9}}{3} + \frac{7425 B a^{8} b^{2} d^{4} e^{8}}{4} + 7920 B a^{7} b^{3} d^{5} e^{7} + 16170 B a^{6} b^{4} d^{6} e^{6} + 16632 B a^{5} b^{5} d^{7} e^{5} + \frac{17325 B a^{4} b^{6} d^{8} e^{4}}{2} + 2200 B a^{3} b^{7} d^{9} e^{3} + \frac{495 B a^{2} b^{8} d^{10} e^{2}}{2} + 10 B a b^{9} d^{11} e + \frac{B b^{10} d^{12}}{12}\right) + x^{11} \left(6 A a^{10} d^{2} e^{10} + 200 A a^{9} b d^{3} e^{9} + 2025 A a^{8} b^{2} d^{4} e^{8} + 8640 A a^{7} b^{3} d^{5} e^{7} + 17640 A a^{6} b^{4} d^{6} e^{6} + 18144 A a^{5} b^{5} d^{7} e^{5} + 9450 A a^{4} b^{6} d^{8} e^{4} + 2400 A a^{3} b^{7} d^{9} e^{3} + 270 A a^{2} b^{8} d^{10} e^{2} + \frac{120 A a b^{9} d^{11} e}{11} + \frac{A b^{10} d^{12}}{11} + 20 B a^{10} d^{3} e^{9} + 450 B a^{9} b d^{4} e^{8} + 3240 B a^{8} b^{2} d^{5} e^{7} + 10080 B a^{7} b^{3} d^{6} e^{6} + 15120 B a^{6} b^{4} d^{7} e^{5} + 11340 B a^{5} b^{5} d^{8} e^{4} + 4200 B a^{4} b^{6} d^{9} e^{3} + 720 B a^{3} b^{7} d^{10} e^{2} + \frac{540 B a^{2} b^{8} d^{11} e}{11} + \frac{10 B a b^{9} d^{12}}{11}\right) + x^{10} \left(22 A a^{10} d^{3} e^{9} + 495 A a^{9} b d^{4} e^{8} + 3564 A a^{8} b^{2} d^{5} e^{7} + 11088 A a^{7} b^{3} d^{6} e^{6} + 16632 A a^{6} b^{4} d^{7} e^{5} + 12474 A a^{5} b^{5} d^{8} e^{4} + 4620 A a^{4} b^{6} d^{9} e^{3} + 792 A a^{3} b^{7} d^{10} e^{2} + 54 A a^{2} b^{8} d^{11} e + A a b^{9} d^{12} + \frac{99 B a^{10} d^{4} e^{8}}{2} + 792 B a^{9} b d^{5} e^{7} + 4158 B a^{8} b^{2} d^{6} e^{6} + 9504 B a^{7} b^{3} d^{7} e^{5} + 10395 B a^{6} b^{4} d^{8} e^{4} + 5544 B a^{5} b^{5} d^{9} e^{3} + 1386 B a^{4} b^{6} d^{10} e^{2} + 144 B a^{3} b^{7} d^{11} e + \frac{9 B a^{2} b^{8} d^{12}}{2}\right) + x^{9} \left(55 A a^{10} d^{4} e^{8} + 880 A a^{9} b d^{5} e^{7} + 4620 A a^{8} b^{2} d^{6} e^{6} + 10560 A a^{7} b^{3} d^{7} e^{5} + 11550 A a^{6} b^{4} d^{8} e^{4} + 6160 A a^{5} b^{5} d^{9} e^{3} + 1540 A a^{4} b^{6} d^{10} e^{2} + 160 A a^{3} b^{7} d^{11} e + 5 A a^{2} b^{8} d^{12} + 88 B a^{10} d^{5} e^{7} + \frac{3080 B a^{9} b d^{6} e^{6}}{3} + 3960 B a^{8} b^{2} d^{7} e^{5} + 6600 B a^{7} b^{3} d^{8} e^{4} + \frac{15400 B a^{6} b^{4} d^{9} e^{3}}{3} + 1848 B a^{5} b^{5} d^{10} e^{2} + 280 B a^{4} b^{6} d^{11} e + \frac{40 B a^{3} b^{7} d^{12}}{3}\right) + x^{8} \left(99 A a^{10} d^{5} e^{7} + 1155 A a^{9} b d^{6} e^{6} + 4455 A a^{8} b^{2} d^{7} e^{5} + 7425 A a^{7} b^{3} d^{8} e^{4} + 5775 A a^{6} b^{4} d^{9} e^{3} + 2079 A a^{5} b^{5} d^{10} e^{2} + 315 A a^{4} b^{6} d^{11} e + 15 A a^{3} b^{7} d^{12} + \frac{231 B a^{10} d^{6} e^{6}}{2} + 990 B a^{9} b d^{7} e^{5} + \frac{22275 B a^{8} b^{2} d^{8} e^{4}}{8} + 3300 B a^{7} b^{3} d^{9} e^{3} + \frac{3465 B a^{6} b^{4} d^{10} e^{2}}{2} + 378 B a^{5} b^{5} d^{11} e + \frac{105 B a^{4} b^{6} d^{12}}{4}\right) + x^{7} \left(132 A a^{10} d^{6} e^{6} + \frac{7920 A a^{9} b d^{7} e^{5}}{7} + \frac{22275 A a^{8} b^{2} d^{8} e^{4}}{7} + \frac{26400 A a^{7} b^{3} d^{9} e^{3}}{7} + 1980 A a^{6} b^{4} d^{10} e^{2} + 432 A a^{5} b^{5} d^{11} e + 30 A a^{4} b^{6} d^{12} + \frac{792 B a^{10} d^{7} e^{5}}{7} + \frac{4950 B a^{9} b d^{8} e^{4}}{7} + \frac{9900 B a^{8} b^{2} d^{9} e^{3}}{7} + \frac{7920 B a^{7} b^{3} d^{10} e^{2}}{7} + 360 B a^{6} b^{4} d^{11} e + 36 B a^{5} b^{5} d^{12}\right) + x^{6} \left(132 A a^{10} d^{7} e^{5} + 825 A a^{9} b d^{8} e^{4} + 1650 A a^{8} b^{2} d^{9} e^{3} + 1320 A a^{7} b^{3} d^{10} e^{2} + 420 A a^{6} b^{4} d^{11} e + 42 A a^{5} b^{5} d^{12} + \frac{165 B a^{10} d^{8} e^{4}}{2} + \frac{1100 B a^{9} b d^{9} e^{3}}{3} + 495 B a^{8} b^{2} d^{10} e^{2} + 240 B a^{7} b^{3} d^{11} e + 35 B a^{6} b^{4} d^{12}\right) + x^{5} \left(99 A a^{10} d^{8} e^{4} + 440 A a^{9} b d^{9} e^{3} + 594 A a^{8} b^{2} d^{10} e^{2} + 288 A a^{7} b^{3} d^{11} e + 42 A a^{6} b^{4} d^{12} + 44 B a^{10} d^{9} e^{3} + 132 B a^{9} b d^{10} e^{2} + 108 B a^{8} b^{2} d^{11} e + 24 B a^{7} b^{3} d^{12}\right) + x^{4} \left(55 A a^{10} d^{9} e^{3} + 165 A a^{9} b d^{10} e^{2} + 135 A a^{8} b^{2} d^{11} e + 30 A a^{7} b^{3} d^{12} + \frac{33 B a^{10} d^{10} e^{2}}{2} + 30 B a^{9} b d^{11} e + \frac{45 B a^{8} b^{2} d^{12}}{4}\right) + x^{3} \left(22 A a^{10} d^{10} e^{2} + 40 A a^{9} b d^{11} e + 15 A a^{8} b^{2} d^{12} + 4 B a^{10} d^{11} e + \frac{10 B a^{9} b d^{12}}{3}\right) + x^{2} \left(6 A a^{10} d^{11} e + 5 A a^{9} b d^{12} + \frac{B a^{10} d^{12}}{2}\right)"," ",0,"A*a**10*d**12*x + B*b**10*e**12*x**24/24 + x**23*(A*b**10*e**12/23 + 10*B*a*b**9*e**12/23 + 12*B*b**10*d*e**11/23) + x**22*(5*A*a*b**9*e**12/11 + 6*A*b**10*d*e**11/11 + 45*B*a**2*b**8*e**12/22 + 60*B*a*b**9*d*e**11/11 + 3*B*b**10*d**2*e**10) + x**21*(15*A*a**2*b**8*e**12/7 + 40*A*a*b**9*d*e**11/7 + 22*A*b**10*d**2*e**10/7 + 40*B*a**3*b**7*e**12/7 + 180*B*a**2*b**8*d*e**11/7 + 220*B*a*b**9*d**2*e**10/7 + 220*B*b**10*d**3*e**9/21) + x**20*(6*A*a**3*b**7*e**12 + 27*A*a**2*b**8*d*e**11 + 33*A*a*b**9*d**2*e**10 + 11*A*b**10*d**3*e**9 + 21*B*a**4*b**6*e**12/2 + 72*B*a**3*b**7*d*e**11 + 297*B*a**2*b**8*d**2*e**10/2 + 110*B*a*b**9*d**3*e**9 + 99*B*b**10*d**4*e**8/4) + x**19*(210*A*a**4*b**6*e**12/19 + 1440*A*a**3*b**7*d*e**11/19 + 2970*A*a**2*b**8*d**2*e**10/19 + 2200*A*a*b**9*d**3*e**9/19 + 495*A*b**10*d**4*e**8/19 + 252*B*a**5*b**5*e**12/19 + 2520*B*a**4*b**6*d*e**11/19 + 7920*B*a**3*b**7*d**2*e**10/19 + 9900*B*a**2*b**8*d**3*e**9/19 + 4950*B*a*b**9*d**4*e**8/19 + 792*B*b**10*d**5*e**7/19) + x**18*(14*A*a**5*b**5*e**12 + 140*A*a**4*b**6*d*e**11 + 440*A*a**3*b**7*d**2*e**10 + 550*A*a**2*b**8*d**3*e**9 + 275*A*a*b**9*d**4*e**8 + 44*A*b**10*d**5*e**7 + 35*B*a**6*b**4*e**12/3 + 168*B*a**5*b**5*d*e**11 + 770*B*a**4*b**6*d**2*e**10 + 4400*B*a**3*b**7*d**3*e**9/3 + 2475*B*a**2*b**8*d**4*e**8/2 + 440*B*a*b**9*d**5*e**7 + 154*B*b**10*d**6*e**6/3) + x**17*(210*A*a**6*b**4*e**12/17 + 3024*A*a**5*b**5*d*e**11/17 + 13860*A*a**4*b**6*d**2*e**10/17 + 26400*A*a**3*b**7*d**3*e**9/17 + 22275*A*a**2*b**8*d**4*e**8/17 + 7920*A*a*b**9*d**5*e**7/17 + 924*A*b**10*d**6*e**6/17 + 120*B*a**7*b**3*e**12/17 + 2520*B*a**6*b**4*d*e**11/17 + 16632*B*a**5*b**5*d**2*e**10/17 + 46200*B*a**4*b**6*d**3*e**9/17 + 59400*B*a**3*b**7*d**4*e**8/17 + 35640*B*a**2*b**8*d**5*e**7/17 + 9240*B*a*b**9*d**6*e**6/17 + 792*B*b**10*d**7*e**5/17) + x**16*(15*A*a**7*b**3*e**12/2 + 315*A*a**6*b**4*d*e**11/2 + 2079*A*a**5*b**5*d**2*e**10/2 + 5775*A*a**4*b**6*d**3*e**9/2 + 7425*A*a**3*b**7*d**4*e**8/2 + 4455*A*a**2*b**8*d**5*e**7/2 + 1155*A*a*b**9*d**6*e**6/2 + 99*A*b**10*d**7*e**5/2 + 45*B*a**8*b**2*e**12/16 + 90*B*a**7*b**3*d*e**11 + 3465*B*a**6*b**4*d**2*e**10/4 + 3465*B*a**5*b**5*d**3*e**9 + 51975*B*a**4*b**6*d**4*e**8/8 + 5940*B*a**3*b**7*d**5*e**7 + 10395*B*a**2*b**8*d**6*e**6/4 + 495*B*a*b**9*d**7*e**5 + 495*B*b**10*d**8*e**4/16) + x**15*(3*A*a**8*b**2*e**12 + 96*A*a**7*b**3*d*e**11 + 924*A*a**6*b**4*d**2*e**10 + 3696*A*a**5*b**5*d**3*e**9 + 6930*A*a**4*b**6*d**4*e**8 + 6336*A*a**3*b**7*d**5*e**7 + 2772*A*a**2*b**8*d**6*e**6 + 528*A*a*b**9*d**7*e**5 + 33*A*b**10*d**8*e**4 + 2*B*a**9*b*e**12/3 + 36*B*a**8*b**2*d*e**11 + 528*B*a**7*b**3*d**2*e**10 + 3080*B*a**6*b**4*d**3*e**9 + 8316*B*a**5*b**5*d**4*e**8 + 11088*B*a**4*b**6*d**5*e**7 + 7392*B*a**3*b**7*d**6*e**6 + 2376*B*a**2*b**8*d**7*e**5 + 330*B*a*b**9*d**8*e**4 + 44*B*b**10*d**9*e**3/3) + x**14*(5*A*a**9*b*e**12/7 + 270*A*a**8*b**2*d*e**11/7 + 3960*A*a**7*b**3*d**2*e**10/7 + 3300*A*a**6*b**4*d**3*e**9 + 8910*A*a**5*b**5*d**4*e**8 + 11880*A*a**4*b**6*d**5*e**7 + 7920*A*a**3*b**7*d**6*e**6 + 17820*A*a**2*b**8*d**7*e**5/7 + 2475*A*a*b**9*d**8*e**4/7 + 110*A*b**10*d**9*e**3/7 + B*a**10*e**12/14 + 60*B*a**9*b*d*e**11/7 + 1485*B*a**8*b**2*d**2*e**10/7 + 13200*B*a**7*b**3*d**3*e**9/7 + 7425*B*a**6*b**4*d**4*e**8 + 14256*B*a**5*b**5*d**5*e**7 + 13860*B*a**4*b**6*d**6*e**6 + 47520*B*a**3*b**7*d**7*e**5/7 + 22275*B*a**2*b**8*d**8*e**4/14 + 1100*B*a*b**9*d**9*e**3/7 + 33*B*b**10*d**10*e**2/7) + x**13*(A*a**10*e**12/13 + 120*A*a**9*b*d*e**11/13 + 2970*A*a**8*b**2*d**2*e**10/13 + 26400*A*a**7*b**3*d**3*e**9/13 + 103950*A*a**6*b**4*d**4*e**8/13 + 199584*A*a**5*b**5*d**5*e**7/13 + 194040*A*a**4*b**6*d**6*e**6/13 + 95040*A*a**3*b**7*d**7*e**5/13 + 22275*A*a**2*b**8*d**8*e**4/13 + 2200*A*a*b**9*d**9*e**3/13 + 66*A*b**10*d**10*e**2/13 + 12*B*a**10*d*e**11/13 + 660*B*a**9*b*d**2*e**10/13 + 9900*B*a**8*b**2*d**3*e**9/13 + 59400*B*a**7*b**3*d**4*e**8/13 + 166320*B*a**6*b**4*d**5*e**7/13 + 232848*B*a**5*b**5*d**6*e**6/13 + 166320*B*a**4*b**6*d**7*e**5/13 + 59400*B*a**3*b**7*d**8*e**4/13 + 9900*B*a**2*b**8*d**9*e**3/13 + 660*B*a*b**9*d**10*e**2/13 + 12*B*b**10*d**11*e/13) + x**12*(A*a**10*d*e**11 + 55*A*a**9*b*d**2*e**10 + 825*A*a**8*b**2*d**3*e**9 + 4950*A*a**7*b**3*d**4*e**8 + 13860*A*a**6*b**4*d**5*e**7 + 19404*A*a**5*b**5*d**6*e**6 + 13860*A*a**4*b**6*d**7*e**5 + 4950*A*a**3*b**7*d**8*e**4 + 825*A*a**2*b**8*d**9*e**3 + 55*A*a*b**9*d**10*e**2 + A*b**10*d**11*e + 11*B*a**10*d**2*e**10/2 + 550*B*a**9*b*d**3*e**9/3 + 7425*B*a**8*b**2*d**4*e**8/4 + 7920*B*a**7*b**3*d**5*e**7 + 16170*B*a**6*b**4*d**6*e**6 + 16632*B*a**5*b**5*d**7*e**5 + 17325*B*a**4*b**6*d**8*e**4/2 + 2200*B*a**3*b**7*d**9*e**3 + 495*B*a**2*b**8*d**10*e**2/2 + 10*B*a*b**9*d**11*e + B*b**10*d**12/12) + x**11*(6*A*a**10*d**2*e**10 + 200*A*a**9*b*d**3*e**9 + 2025*A*a**8*b**2*d**4*e**8 + 8640*A*a**7*b**3*d**5*e**7 + 17640*A*a**6*b**4*d**6*e**6 + 18144*A*a**5*b**5*d**7*e**5 + 9450*A*a**4*b**6*d**8*e**4 + 2400*A*a**3*b**7*d**9*e**3 + 270*A*a**2*b**8*d**10*e**2 + 120*A*a*b**9*d**11*e/11 + A*b**10*d**12/11 + 20*B*a**10*d**3*e**9 + 450*B*a**9*b*d**4*e**8 + 3240*B*a**8*b**2*d**5*e**7 + 10080*B*a**7*b**3*d**6*e**6 + 15120*B*a**6*b**4*d**7*e**5 + 11340*B*a**5*b**5*d**8*e**4 + 4200*B*a**4*b**6*d**9*e**3 + 720*B*a**3*b**7*d**10*e**2 + 540*B*a**2*b**8*d**11*e/11 + 10*B*a*b**9*d**12/11) + x**10*(22*A*a**10*d**3*e**9 + 495*A*a**9*b*d**4*e**8 + 3564*A*a**8*b**2*d**5*e**7 + 11088*A*a**7*b**3*d**6*e**6 + 16632*A*a**6*b**4*d**7*e**5 + 12474*A*a**5*b**5*d**8*e**4 + 4620*A*a**4*b**6*d**9*e**3 + 792*A*a**3*b**7*d**10*e**2 + 54*A*a**2*b**8*d**11*e + A*a*b**9*d**12 + 99*B*a**10*d**4*e**8/2 + 792*B*a**9*b*d**5*e**7 + 4158*B*a**8*b**2*d**6*e**6 + 9504*B*a**7*b**3*d**7*e**5 + 10395*B*a**6*b**4*d**8*e**4 + 5544*B*a**5*b**5*d**9*e**3 + 1386*B*a**4*b**6*d**10*e**2 + 144*B*a**3*b**7*d**11*e + 9*B*a**2*b**8*d**12/2) + x**9*(55*A*a**10*d**4*e**8 + 880*A*a**9*b*d**5*e**7 + 4620*A*a**8*b**2*d**6*e**6 + 10560*A*a**7*b**3*d**7*e**5 + 11550*A*a**6*b**4*d**8*e**4 + 6160*A*a**5*b**5*d**9*e**3 + 1540*A*a**4*b**6*d**10*e**2 + 160*A*a**3*b**7*d**11*e + 5*A*a**2*b**8*d**12 + 88*B*a**10*d**5*e**7 + 3080*B*a**9*b*d**6*e**6/3 + 3960*B*a**8*b**2*d**7*e**5 + 6600*B*a**7*b**3*d**8*e**4 + 15400*B*a**6*b**4*d**9*e**3/3 + 1848*B*a**5*b**5*d**10*e**2 + 280*B*a**4*b**6*d**11*e + 40*B*a**3*b**7*d**12/3) + x**8*(99*A*a**10*d**5*e**7 + 1155*A*a**9*b*d**6*e**6 + 4455*A*a**8*b**2*d**7*e**5 + 7425*A*a**7*b**3*d**8*e**4 + 5775*A*a**6*b**4*d**9*e**3 + 2079*A*a**5*b**5*d**10*e**2 + 315*A*a**4*b**6*d**11*e + 15*A*a**3*b**7*d**12 + 231*B*a**10*d**6*e**6/2 + 990*B*a**9*b*d**7*e**5 + 22275*B*a**8*b**2*d**8*e**4/8 + 3300*B*a**7*b**3*d**9*e**3 + 3465*B*a**6*b**4*d**10*e**2/2 + 378*B*a**5*b**5*d**11*e + 105*B*a**4*b**6*d**12/4) + x**7*(132*A*a**10*d**6*e**6 + 7920*A*a**9*b*d**7*e**5/7 + 22275*A*a**8*b**2*d**8*e**4/7 + 26400*A*a**7*b**3*d**9*e**3/7 + 1980*A*a**6*b**4*d**10*e**2 + 432*A*a**5*b**5*d**11*e + 30*A*a**4*b**6*d**12 + 792*B*a**10*d**7*e**5/7 + 4950*B*a**9*b*d**8*e**4/7 + 9900*B*a**8*b**2*d**9*e**3/7 + 7920*B*a**7*b**3*d**10*e**2/7 + 360*B*a**6*b**4*d**11*e + 36*B*a**5*b**5*d**12) + x**6*(132*A*a**10*d**7*e**5 + 825*A*a**9*b*d**8*e**4 + 1650*A*a**8*b**2*d**9*e**3 + 1320*A*a**7*b**3*d**10*e**2 + 420*A*a**6*b**4*d**11*e + 42*A*a**5*b**5*d**12 + 165*B*a**10*d**8*e**4/2 + 1100*B*a**9*b*d**9*e**3/3 + 495*B*a**8*b**2*d**10*e**2 + 240*B*a**7*b**3*d**11*e + 35*B*a**6*b**4*d**12) + x**5*(99*A*a**10*d**8*e**4 + 440*A*a**9*b*d**9*e**3 + 594*A*a**8*b**2*d**10*e**2 + 288*A*a**7*b**3*d**11*e + 42*A*a**6*b**4*d**12 + 44*B*a**10*d**9*e**3 + 132*B*a**9*b*d**10*e**2 + 108*B*a**8*b**2*d**11*e + 24*B*a**7*b**3*d**12) + x**4*(55*A*a**10*d**9*e**3 + 165*A*a**9*b*d**10*e**2 + 135*A*a**8*b**2*d**11*e + 30*A*a**7*b**3*d**12 + 33*B*a**10*d**10*e**2/2 + 30*B*a**9*b*d**11*e + 45*B*a**8*b**2*d**12/4) + x**3*(22*A*a**10*d**10*e**2 + 40*A*a**9*b*d**11*e + 15*A*a**8*b**2*d**12 + 4*B*a**10*d**11*e + 10*B*a**9*b*d**12/3) + x**2*(6*A*a**10*d**11*e + 5*A*a**9*b*d**12 + B*a**10*d**12/2)","B",0
1077,1,4328,0,0.696922," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**11,x)","A a^{10} d^{11} x + \frac{B b^{10} e^{11} x^{23}}{23} + x^{22} \left(\frac{A b^{10} e^{11}}{22} + \frac{5 B a b^{9} e^{11}}{11} + \frac{B b^{10} d e^{10}}{2}\right) + x^{21} \left(\frac{10 A a b^{9} e^{11}}{21} + \frac{11 A b^{10} d e^{10}}{21} + \frac{15 B a^{2} b^{8} e^{11}}{7} + \frac{110 B a b^{9} d e^{10}}{21} + \frac{55 B b^{10} d^{2} e^{9}}{21}\right) + x^{20} \left(\frac{9 A a^{2} b^{8} e^{11}}{4} + \frac{11 A a b^{9} d e^{10}}{2} + \frac{11 A b^{10} d^{2} e^{9}}{4} + 6 B a^{3} b^{7} e^{11} + \frac{99 B a^{2} b^{8} d e^{10}}{4} + \frac{55 B a b^{9} d^{2} e^{9}}{2} + \frac{33 B b^{10} d^{3} e^{8}}{4}\right) + x^{19} \left(\frac{120 A a^{3} b^{7} e^{11}}{19} + \frac{495 A a^{2} b^{8} d e^{10}}{19} + \frac{550 A a b^{9} d^{2} e^{9}}{19} + \frac{165 A b^{10} d^{3} e^{8}}{19} + \frac{210 B a^{4} b^{6} e^{11}}{19} + \frac{1320 B a^{3} b^{7} d e^{10}}{19} + \frac{2475 B a^{2} b^{8} d^{2} e^{9}}{19} + \frac{1650 B a b^{9} d^{3} e^{8}}{19} + \frac{330 B b^{10} d^{4} e^{7}}{19}\right) + x^{18} \left(\frac{35 A a^{4} b^{6} e^{11}}{3} + \frac{220 A a^{3} b^{7} d e^{10}}{3} + \frac{275 A a^{2} b^{8} d^{2} e^{9}}{2} + \frac{275 A a b^{9} d^{3} e^{8}}{3} + \frac{55 A b^{10} d^{4} e^{7}}{3} + 14 B a^{5} b^{5} e^{11} + \frac{385 B a^{4} b^{6} d e^{10}}{3} + \frac{1100 B a^{3} b^{7} d^{2} e^{9}}{3} + \frac{825 B a^{2} b^{8} d^{3} e^{8}}{2} + \frac{550 B a b^{9} d^{4} e^{7}}{3} + \frac{77 B b^{10} d^{5} e^{6}}{3}\right) + x^{17} \left(\frac{252 A a^{5} b^{5} e^{11}}{17} + \frac{2310 A a^{4} b^{6} d e^{10}}{17} + \frac{6600 A a^{3} b^{7} d^{2} e^{9}}{17} + \frac{7425 A a^{2} b^{8} d^{3} e^{8}}{17} + \frac{3300 A a b^{9} d^{4} e^{7}}{17} + \frac{462 A b^{10} d^{5} e^{6}}{17} + \frac{210 B a^{6} b^{4} e^{11}}{17} + \frac{2772 B a^{5} b^{5} d e^{10}}{17} + \frac{11550 B a^{4} b^{6} d^{2} e^{9}}{17} + \frac{19800 B a^{3} b^{7} d^{3} e^{8}}{17} + \frac{14850 B a^{2} b^{8} d^{4} e^{7}}{17} + \frac{4620 B a b^{9} d^{5} e^{6}}{17} + \frac{462 B b^{10} d^{6} e^{5}}{17}\right) + x^{16} \left(\frac{105 A a^{6} b^{4} e^{11}}{8} + \frac{693 A a^{5} b^{5} d e^{10}}{4} + \frac{5775 A a^{4} b^{6} d^{2} e^{9}}{8} + \frac{2475 A a^{3} b^{7} d^{3} e^{8}}{2} + \frac{7425 A a^{2} b^{8} d^{4} e^{7}}{8} + \frac{1155 A a b^{9} d^{5} e^{6}}{4} + \frac{231 A b^{10} d^{6} e^{5}}{8} + \frac{15 B a^{7} b^{3} e^{11}}{2} + \frac{1155 B a^{6} b^{4} d e^{10}}{8} + \frac{3465 B a^{5} b^{5} d^{2} e^{9}}{4} + \frac{17325 B a^{4} b^{6} d^{3} e^{8}}{8} + 2475 B a^{3} b^{7} d^{4} e^{7} + \frac{10395 B a^{2} b^{8} d^{5} e^{6}}{8} + \frac{1155 B a b^{9} d^{6} e^{5}}{4} + \frac{165 B b^{10} d^{7} e^{4}}{8}\right) + x^{15} \left(8 A a^{7} b^{3} e^{11} + 154 A a^{6} b^{4} d e^{10} + 924 A a^{5} b^{5} d^{2} e^{9} + 2310 A a^{4} b^{6} d^{3} e^{8} + 2640 A a^{3} b^{7} d^{4} e^{7} + 1386 A a^{2} b^{8} d^{5} e^{6} + 308 A a b^{9} d^{6} e^{5} + 22 A b^{10} d^{7} e^{4} + 3 B a^{8} b^{2} e^{11} + 88 B a^{7} b^{3} d e^{10} + 770 B a^{6} b^{4} d^{2} e^{9} + 2772 B a^{5} b^{5} d^{3} e^{8} + 4620 B a^{4} b^{6} d^{4} e^{7} + 3696 B a^{3} b^{7} d^{5} e^{6} + 1386 B a^{2} b^{8} d^{6} e^{5} + 220 B a b^{9} d^{7} e^{4} + 11 B b^{10} d^{8} e^{3}\right) + x^{14} \left(\frac{45 A a^{8} b^{2} e^{11}}{14} + \frac{660 A a^{7} b^{3} d e^{10}}{7} + 825 A a^{6} b^{4} d^{2} e^{9} + 2970 A a^{5} b^{5} d^{3} e^{8} + 4950 A a^{4} b^{6} d^{4} e^{7} + 3960 A a^{3} b^{7} d^{5} e^{6} + 1485 A a^{2} b^{8} d^{6} e^{5} + \frac{1650 A a b^{9} d^{7} e^{4}}{7} + \frac{165 A b^{10} d^{8} e^{3}}{14} + \frac{5 B a^{9} b e^{11}}{7} + \frac{495 B a^{8} b^{2} d e^{10}}{14} + \frac{3300 B a^{7} b^{3} d^{2} e^{9}}{7} + 2475 B a^{6} b^{4} d^{3} e^{8} + 5940 B a^{5} b^{5} d^{4} e^{7} + 6930 B a^{4} b^{6} d^{5} e^{6} + 3960 B a^{3} b^{7} d^{6} e^{5} + \frac{7425 B a^{2} b^{8} d^{7} e^{4}}{7} + \frac{825 B a b^{9} d^{8} e^{3}}{7} + \frac{55 B b^{10} d^{9} e^{2}}{14}\right) + x^{13} \left(\frac{10 A a^{9} b e^{11}}{13} + \frac{495 A a^{8} b^{2} d e^{10}}{13} + \frac{6600 A a^{7} b^{3} d^{2} e^{9}}{13} + \frac{34650 A a^{6} b^{4} d^{3} e^{8}}{13} + \frac{83160 A a^{5} b^{5} d^{4} e^{7}}{13} + \frac{97020 A a^{4} b^{6} d^{5} e^{6}}{13} + \frac{55440 A a^{3} b^{7} d^{6} e^{5}}{13} + \frac{14850 A a^{2} b^{8} d^{7} e^{4}}{13} + \frac{1650 A a b^{9} d^{8} e^{3}}{13} + \frac{55 A b^{10} d^{9} e^{2}}{13} + \frac{B a^{10} e^{11}}{13} + \frac{110 B a^{9} b d e^{10}}{13} + \frac{2475 B a^{8} b^{2} d^{2} e^{9}}{13} + \frac{19800 B a^{7} b^{3} d^{3} e^{8}}{13} + \frac{69300 B a^{6} b^{4} d^{4} e^{7}}{13} + \frac{116424 B a^{5} b^{5} d^{5} e^{6}}{13} + \frac{97020 B a^{4} b^{6} d^{6} e^{5}}{13} + \frac{39600 B a^{3} b^{7} d^{7} e^{4}}{13} + \frac{7425 B a^{2} b^{8} d^{8} e^{3}}{13} + \frac{550 B a b^{9} d^{9} e^{2}}{13} + \frac{11 B b^{10} d^{10} e}{13}\right) + x^{12} \left(\frac{A a^{10} e^{11}}{12} + \frac{55 A a^{9} b d e^{10}}{6} + \frac{825 A a^{8} b^{2} d^{2} e^{9}}{4} + 1650 A a^{7} b^{3} d^{3} e^{8} + 5775 A a^{6} b^{4} d^{4} e^{7} + 9702 A a^{5} b^{5} d^{5} e^{6} + 8085 A a^{4} b^{6} d^{6} e^{5} + 3300 A a^{3} b^{7} d^{7} e^{4} + \frac{2475 A a^{2} b^{8} d^{8} e^{3}}{4} + \frac{275 A a b^{9} d^{9} e^{2}}{6} + \frac{11 A b^{10} d^{10} e}{12} + \frac{11 B a^{10} d e^{10}}{12} + \frac{275 B a^{9} b d^{2} e^{9}}{6} + \frac{2475 B a^{8} b^{2} d^{3} e^{8}}{4} + 3300 B a^{7} b^{3} d^{4} e^{7} + 8085 B a^{6} b^{4} d^{5} e^{6} + 9702 B a^{5} b^{5} d^{6} e^{5} + 5775 B a^{4} b^{6} d^{7} e^{4} + 1650 B a^{3} b^{7} d^{8} e^{3} + \frac{825 B a^{2} b^{8} d^{9} e^{2}}{4} + \frac{55 B a b^{9} d^{10} e}{6} + \frac{B b^{10} d^{11}}{12}\right) + x^{11} \left(A a^{10} d e^{10} + 50 A a^{9} b d^{2} e^{9} + 675 A a^{8} b^{2} d^{3} e^{8} + 3600 A a^{7} b^{3} d^{4} e^{7} + 8820 A a^{6} b^{4} d^{5} e^{6} + 10584 A a^{5} b^{5} d^{6} e^{5} + 6300 A a^{4} b^{6} d^{7} e^{4} + 1800 A a^{3} b^{7} d^{8} e^{3} + 225 A a^{2} b^{8} d^{9} e^{2} + 10 A a b^{9} d^{10} e + \frac{A b^{10} d^{11}}{11} + 5 B a^{10} d^{2} e^{9} + 150 B a^{9} b d^{3} 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a^{8} b^{2} d^{5} e^{6} + 6160 A a^{7} b^{3} d^{6} e^{5} + 7700 A a^{6} b^{4} d^{7} e^{4} + 4620 A a^{5} b^{5} d^{8} e^{3} + \frac{3850 A a^{4} b^{6} d^{9} e^{2}}{3} + \frac{440 A a^{3} b^{7} d^{10} e}{3} + 5 A a^{2} b^{8} d^{11} + \frac{110 B a^{10} d^{4} e^{7}}{3} + \frac{1540 B a^{9} b d^{5} e^{6}}{3} + 2310 B a^{8} b^{2} d^{6} e^{5} + 4400 B a^{7} b^{3} d^{7} e^{4} + 3850 B a^{6} b^{4} d^{8} e^{3} + 1540 B a^{5} b^{5} d^{9} e^{2} + \frac{770 B a^{4} b^{6} d^{10} e}{3} + \frac{40 B a^{3} b^{7} d^{11}}{3}\right) + x^{8} \left(\frac{165 A a^{10} d^{4} e^{7}}{4} + \frac{1155 A a^{9} b d^{5} e^{6}}{2} + \frac{10395 A a^{8} b^{2} d^{6} e^{5}}{4} + 4950 A a^{7} b^{3} d^{7} e^{4} + \frac{17325 A a^{6} b^{4} d^{8} e^{3}}{4} + \frac{3465 A a^{5} b^{5} d^{9} e^{2}}{2} + \frac{1155 A a^{4} b^{6} d^{10} e}{4} + 15 A a^{3} b^{7} d^{11} + \frac{231 B a^{10} d^{5} e^{6}}{4} + \frac{1155 B a^{9} b d^{6} e^{5}}{2} + \frac{7425 B a^{8} b^{2} d^{7} e^{4}}{4} + 2475 B a^{7} b^{3} d^{8} e^{3} + 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x**20*(9*A*a**2*b**8*e**11/4 + 11*A*a*b**9*d*e**10/2 + 11*A*b**10*d**2*e**9/4 + 6*B*a**3*b**7*e**11 + 99*B*a**2*b**8*d*e**10/4 + 55*B*a*b**9*d**2*e**9/2 + 33*B*b**10*d**3*e**8/4) + x**19*(120*A*a**3*b**7*e**11/19 + 495*A*a**2*b**8*d*e**10/19 + 550*A*a*b**9*d**2*e**9/19 + 165*A*b**10*d**3*e**8/19 + 210*B*a**4*b**6*e**11/19 + 1320*B*a**3*b**7*d*e**10/19 + 2475*B*a**2*b**8*d**2*e**9/19 + 1650*B*a*b**9*d**3*e**8/19 + 330*B*b**10*d**4*e**7/19) + x**18*(35*A*a**4*b**6*e**11/3 + 220*A*a**3*b**7*d*e**10/3 + 275*A*a**2*b**8*d**2*e**9/2 + 275*A*a*b**9*d**3*e**8/3 + 55*A*b**10*d**4*e**7/3 + 14*B*a**5*b**5*e**11 + 385*B*a**4*b**6*d*e**10/3 + 1100*B*a**3*b**7*d**2*e**9/3 + 825*B*a**2*b**8*d**3*e**8/2 + 550*B*a*b**9*d**4*e**7/3 + 77*B*b**10*d**5*e**6/3) + x**17*(252*A*a**5*b**5*e**11/17 + 2310*A*a**4*b**6*d*e**10/17 + 6600*A*a**3*b**7*d**2*e**9/17 + 7425*A*a**2*b**8*d**3*e**8/17 + 3300*A*a*b**9*d**4*e**7/17 + 462*A*b**10*d**5*e**6/17 + 210*B*a**6*b**4*e**11/17 + 2772*B*a**5*b**5*d*e**10/17 + 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1386*B*a**2*b**8*d**6*e**5 + 220*B*a*b**9*d**7*e**4 + 11*B*b**10*d**8*e**3) + x**14*(45*A*a**8*b**2*e**11/14 + 660*A*a**7*b**3*d*e**10/7 + 825*A*a**6*b**4*d**2*e**9 + 2970*A*a**5*b**5*d**3*e**8 + 4950*A*a**4*b**6*d**4*e**7 + 3960*A*a**3*b**7*d**5*e**6 + 1485*A*a**2*b**8*d**6*e**5 + 1650*A*a*b**9*d**7*e**4/7 + 165*A*b**10*d**8*e**3/14 + 5*B*a**9*b*e**11/7 + 495*B*a**8*b**2*d*e**10/14 + 3300*B*a**7*b**3*d**2*e**9/7 + 2475*B*a**6*b**4*d**3*e**8 + 5940*B*a**5*b**5*d**4*e**7 + 6930*B*a**4*b**6*d**5*e**6 + 3960*B*a**3*b**7*d**6*e**5 + 7425*B*a**2*b**8*d**7*e**4/7 + 825*B*a*b**9*d**8*e**3/7 + 55*B*b**10*d**9*e**2/14) + x**13*(10*A*a**9*b*e**11/13 + 495*A*a**8*b**2*d*e**10/13 + 6600*A*a**7*b**3*d**2*e**9/13 + 34650*A*a**6*b**4*d**3*e**8/13 + 83160*A*a**5*b**5*d**4*e**7/13 + 97020*A*a**4*b**6*d**5*e**6/13 + 55440*A*a**3*b**7*d**6*e**5/13 + 14850*A*a**2*b**8*d**7*e**4/13 + 1650*A*a*b**9*d**8*e**3/13 + 55*A*b**10*d**9*e**2/13 + B*a**10*e**11/13 + 110*B*a**9*b*d*e**10/13 + 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8820*A*a**6*b**4*d**5*e**6 + 10584*A*a**5*b**5*d**6*e**5 + 6300*A*a**4*b**6*d**7*e**4 + 1800*A*a**3*b**7*d**8*e**3 + 225*A*a**2*b**8*d**9*e**2 + 10*A*a*b**9*d**10*e + A*b**10*d**11/11 + 5*B*a**10*d**2*e**9 + 150*B*a**9*b*d**3*e**8 + 1350*B*a**8*b**2*d**4*e**7 + 5040*B*a**7*b**3*d**5*e**6 + 8820*B*a**6*b**4*d**6*e**5 + 7560*B*a**5*b**5*d**7*e**4 + 3150*B*a**4*b**6*d**8*e**3 + 600*B*a**3*b**7*d**9*e**2 + 45*B*a**2*b**8*d**10*e + 10*B*a*b**9*d**11/11) + x**10*(11*A*a**10*d**2*e**9/2 + 165*A*a**9*b*d**3*e**8 + 1485*A*a**8*b**2*d**4*e**7 + 5544*A*a**7*b**3*d**5*e**6 + 9702*A*a**6*b**4*d**6*e**5 + 8316*A*a**5*b**5*d**7*e**4 + 3465*A*a**4*b**6*d**8*e**3 + 660*A*a**3*b**7*d**9*e**2 + 99*A*a**2*b**8*d**10*e/2 + A*a*b**9*d**11 + 33*B*a**10*d**3*e**8/2 + 330*B*a**9*b*d**4*e**7 + 2079*B*a**8*b**2*d**5*e**6 + 5544*B*a**7*b**3*d**6*e**5 + 6930*B*a**6*b**4*d**7*e**4 + 4158*B*a**5*b**5*d**8*e**3 + 1155*B*a**4*b**6*d**9*e**2 + 132*B*a**3*b**7*d**10*e + 9*B*a**2*b**8*d**11/2) + x**9*(55*A*a**10*d**3*e**8/3 + 1100*A*a**9*b*d**4*e**7/3 + 2310*A*a**8*b**2*d**5*e**6 + 6160*A*a**7*b**3*d**6*e**5 + 7700*A*a**6*b**4*d**7*e**4 + 4620*A*a**5*b**5*d**8*e**3 + 3850*A*a**4*b**6*d**9*e**2/3 + 440*A*a**3*b**7*d**10*e/3 + 5*A*a**2*b**8*d**11 + 110*B*a**10*d**4*e**7/3 + 1540*B*a**9*b*d**5*e**6/3 + 2310*B*a**8*b**2*d**6*e**5 + 4400*B*a**7*b**3*d**7*e**4 + 3850*B*a**6*b**4*d**8*e**3 + 1540*B*a**5*b**5*d**9*e**2 + 770*B*a**4*b**6*d**10*e/3 + 40*B*a**3*b**7*d**11/3) + x**8*(165*A*a**10*d**4*e**7/4 + 1155*A*a**9*b*d**5*e**6/2 + 10395*A*a**8*b**2*d**6*e**5/4 + 4950*A*a**7*b**3*d**7*e**4 + 17325*A*a**6*b**4*d**8*e**3/4 + 3465*A*a**5*b**5*d**9*e**2/2 + 1155*A*a**4*b**6*d**10*e/4 + 15*A*a**3*b**7*d**11 + 231*B*a**10*d**5*e**6/4 + 1155*B*a**9*b*d**6*e**5/2 + 7425*B*a**8*b**2*d**7*e**4/4 + 2475*B*a**7*b**3*d**8*e**3 + 5775*B*a**6*b**4*d**9*e**2/4 + 693*B*a**5*b**5*d**10*e/2 + 105*B*a**4*b**6*d**11/4) + x**7*(66*A*a**10*d**5*e**6 + 660*A*a**9*b*d**6*e**5 + 14850*A*a**8*b**2*d**7*e**4/7 + 19800*A*a**7*b**3*d**8*e**3/7 + 1650*A*a**6*b**4*d**9*e**2 + 396*A*a**5*b**5*d**10*e + 30*A*a**4*b**6*d**11 + 66*B*a**10*d**6*e**5 + 3300*B*a**9*b*d**7*e**4/7 + 7425*B*a**8*b**2*d**8*e**3/7 + 6600*B*a**7*b**3*d**9*e**2/7 + 330*B*a**6*b**4*d**10*e + 36*B*a**5*b**5*d**11) + x**6*(77*A*a**10*d**6*e**5 + 550*A*a**9*b*d**7*e**4 + 2475*A*a**8*b**2*d**8*e**3/2 + 1100*A*a**7*b**3*d**9*e**2 + 385*A*a**6*b**4*d**10*e + 42*A*a**5*b**5*d**11 + 55*B*a**10*d**7*e**4 + 275*B*a**9*b*d**8*e**3 + 825*B*a**8*b**2*d**9*e**2/2 + 220*B*a**7*b**3*d**10*e + 35*B*a**6*b**4*d**11) + x**5*(66*A*a**10*d**7*e**4 + 330*A*a**9*b*d**8*e**3 + 495*A*a**8*b**2*d**9*e**2 + 264*A*a**7*b**3*d**10*e + 42*A*a**6*b**4*d**11 + 33*B*a**10*d**8*e**3 + 110*B*a**9*b*d**9*e**2 + 99*B*a**8*b**2*d**10*e + 24*B*a**7*b**3*d**11) + x**4*(165*A*a**10*d**8*e**3/4 + 275*A*a**9*b*d**9*e**2/2 + 495*A*a**8*b**2*d**10*e/4 + 30*A*a**7*b**3*d**11 + 55*B*a**10*d**9*e**2/4 + 55*B*a**9*b*d**10*e/2 + 45*B*a**8*b**2*d**11/4) + x**3*(55*A*a**10*d**9*e**2/3 + 110*A*a**9*b*d**10*e/3 + 15*A*a**8*b**2*d**11 + 11*B*a**10*d**10*e/3 + 10*B*a**9*b*d**11/3) + x**2*(11*A*a**10*d**10*e/2 + 5*A*a**9*b*d**11 + B*a**10*d**11/2)","B",0
1078,1,3936,0,0.588327," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**10,x)","A a^{10} d^{10} x + \frac{B b^{10} e^{10} x^{22}}{22} + x^{21} \left(\frac{A b^{10} e^{10}}{21} + \frac{10 B a b^{9} e^{10}}{21} + \frac{10 B b^{10} d e^{9}}{21}\right) + x^{20} \left(\frac{A a b^{9} e^{10}}{2} + \frac{A b^{10} d e^{9}}{2} + \frac{9 B a^{2} b^{8} e^{10}}{4} + 5 B a b^{9} d e^{9} + \frac{9 B b^{10} d^{2} e^{8}}{4}\right) + x^{19} \left(\frac{45 A a^{2} b^{8} e^{10}}{19} + \frac{100 A a b^{9} d e^{9}}{19} + \frac{45 A b^{10} d^{2} e^{8}}{19} + \frac{120 B a^{3} b^{7} e^{10}}{19} + \frac{450 B a^{2} b^{8} d e^{9}}{19} + \frac{450 B a b^{9} d^{2} e^{8}}{19} + \frac{120 B b^{10} d^{3} e^{7}}{19}\right) + x^{18} \left(\frac{20 A a^{3} b^{7} e^{10}}{3} + 25 A a^{2} b^{8} d e^{9} + 25 A a b^{9} d^{2} e^{8} + \frac{20 A b^{10} d^{3} e^{7}}{3} + \frac{35 B a^{4} b^{6} e^{10}}{3} + \frac{200 B a^{3} b^{7} d e^{9}}{3} + \frac{225 B a^{2} b^{8} d^{2} e^{8}}{2} + \frac{200 B a b^{9} d^{3} e^{7}}{3} + \frac{35 B b^{10} d^{4} e^{6}}{3}\right) + x^{17} \left(\frac{210 A a^{4} b^{6} e^{10}}{17} + \frac{1200 A a^{3} b^{7} d e^{9}}{17} + \frac{2025 A a^{2} b^{8} d^{2} e^{8}}{17} + \frac{1200 A a b^{9} d^{3} e^{7}}{17} + \frac{210 A b^{10} d^{4} e^{6}}{17} + \frac{252 B a^{5} b^{5} e^{10}}{17} + \frac{2100 B a^{4} b^{6} d e^{9}}{17} + \frac{5400 B a^{3} b^{7} d^{2} e^{8}}{17} + \frac{5400 B a^{2} b^{8} d^{3} e^{7}}{17} + \frac{2100 B a b^{9} d^{4} e^{6}}{17} + \frac{252 B b^{10} d^{5} e^{5}}{17}\right) + x^{16} \left(\frac{63 A a^{5} b^{5} e^{10}}{4} + \frac{525 A a^{4} b^{6} d e^{9}}{4} + \frac{675 A a^{3} b^{7} d^{2} e^{8}}{2} + \frac{675 A a^{2} b^{8} d^{3} e^{7}}{2} + \frac{525 A a b^{9} d^{4} e^{6}}{4} + \frac{63 A b^{10} d^{5} e^{5}}{4} + \frac{105 B a^{6} b^{4} e^{10}}{8} + \frac{315 B a^{5} b^{5} d e^{9}}{2} + \frac{4725 B a^{4} b^{6} d^{2} e^{8}}{8} + 900 B a^{3} b^{7} d^{3} e^{7} + \frac{4725 B a^{2} b^{8} d^{4} e^{6}}{8} + \frac{315 B a b^{9} d^{5} e^{5}}{2} + \frac{105 B b^{10} d^{6} e^{4}}{8}\right) + x^{15} \left(14 A a^{6} b^{4} e^{10} + 168 A a^{5} b^{5} d e^{9} + 630 A a^{4} b^{6} d^{2} e^{8} + 960 A a^{3} b^{7} d^{3} e^{7} + 630 A a^{2} b^{8} d^{4} e^{6} + 168 A a b^{9} d^{5} e^{5} + 14 A b^{10} d^{6} e^{4} + 8 B a^{7} b^{3} e^{10} + 140 B a^{6} b^{4} d e^{9} + 756 B a^{5} b^{5} d^{2} e^{8} + 1680 B a^{4} b^{6} d^{3} e^{7} + 1680 B a^{3} b^{7} d^{4} e^{6} + 756 B a^{2} b^{8} d^{5} e^{5} + 140 B a b^{9} d^{6} e^{4} + 8 B b^{10} d^{7} e^{3}\right) + x^{14} \left(\frac{60 A a^{7} b^{3} e^{10}}{7} + 150 A a^{6} b^{4} d e^{9} + 810 A a^{5} b^{5} d^{2} e^{8} + 1800 A a^{4} b^{6} d^{3} e^{7} + 1800 A a^{3} b^{7} d^{4} e^{6} + 810 A a^{2} b^{8} d^{5} e^{5} + 150 A a b^{9} d^{6} e^{4} + \frac{60 A b^{10} d^{7} e^{3}}{7} + \frac{45 B a^{8} b^{2} e^{10}}{14} + \frac{600 B a^{7} b^{3} d e^{9}}{7} + 675 B a^{6} b^{4} d^{2} e^{8} + 2160 B a^{5} b^{5} d^{3} e^{7} + 3150 B a^{4} b^{6} d^{4} e^{6} + 2160 B a^{3} b^{7} d^{5} e^{5} + 675 B a^{2} b^{8} d^{6} e^{4} + \frac{600 B a b^{9} d^{7} e^{3}}{7} + \frac{45 B b^{10} d^{8} e^{2}}{14}\right) + x^{13} \left(\frac{45 A a^{8} b^{2} e^{10}}{13} + \frac{1200 A a^{7} b^{3} d e^{9}}{13} + \frac{9450 A a^{6} b^{4} d^{2} e^{8}}{13} + \frac{30240 A a^{5} b^{5} d^{3} e^{7}}{13} + \frac{44100 A a^{4} b^{6} d^{4} e^{6}}{13} + \frac{30240 A a^{3} b^{7} d^{5} e^{5}}{13} + \frac{9450 A a^{2} b^{8} d^{6} e^{4}}{13} + \frac{1200 A a b^{9} d^{7} e^{3}}{13} + \frac{45 A b^{10} d^{8} e^{2}}{13} + \frac{10 B a^{9} b e^{10}}{13} + \frac{450 B a^{8} b^{2} d e^{9}}{13} + \frac{5400 B a^{7} b^{3} d^{2} e^{8}}{13} + \frac{25200 B a^{6} b^{4} d^{3} e^{7}}{13} + \frac{52920 B a^{5} b^{5} d^{4} e^{6}}{13} + \frac{52920 B a^{4} b^{6} d^{5} e^{5}}{13} + \frac{25200 B a^{3} b^{7} d^{6} e^{4}}{13} + \frac{5400 B a^{2} b^{8} d^{7} e^{3}}{13} + \frac{450 B a b^{9} d^{8} e^{2}}{13} + \frac{10 B b^{10} d^{9} e}{13}\right) + x^{12} \left(\frac{5 A a^{9} b e^{10}}{6} + \frac{75 A a^{8} b^{2} d e^{9}}{2} + 450 A a^{7} b^{3} d^{2} e^{8} + 2100 A a^{6} b^{4} d^{3} e^{7} + 4410 A a^{5} b^{5} d^{4} e^{6} + 4410 A a^{4} b^{6} d^{5} e^{5} + 2100 A a^{3} b^{7} d^{6} e^{4} + 450 A a^{2} b^{8} d^{7} e^{3} + \frac{75 A a b^{9} d^{8} e^{2}}{2} + \frac{5 A b^{10} d^{9} e}{6} + \frac{B a^{10} e^{10}}{12} + \frac{25 B a^{9} b d e^{9}}{3} + \frac{675 B a^{8} b^{2} d^{2} e^{8}}{4} + 1200 B a^{7} b^{3} d^{3} e^{7} + 3675 B a^{6} b^{4} d^{4} e^{6} + 5292 B a^{5} b^{5} d^{5} e^{5} + 3675 B a^{4} b^{6} d^{6} e^{4} + 1200 B a^{3} b^{7} d^{7} e^{3} + \frac{675 B a^{2} b^{8} d^{8} e^{2}}{4} + \frac{25 B a b^{9} d^{9} e}{3} + \frac{B b^{10} d^{10}}{12}\right) + x^{11} \left(\frac{A a^{10} e^{10}}{11} + \frac{100 A a^{9} b d e^{9}}{11} + \frac{2025 A a^{8} b^{2} d^{2} e^{8}}{11} + \frac{14400 A a^{7} b^{3} d^{3} e^{7}}{11} + \frac{44100 A a^{6} b^{4} d^{4} e^{6}}{11} + \frac{63504 A a^{5} b^{5} d^{5} e^{5}}{11} + \frac{44100 A a^{4} b^{6} d^{6} e^{4}}{11} + \frac{14400 A a^{3} b^{7} d^{7} e^{3}}{11} + \frac{2025 A a^{2} b^{8} d^{8} e^{2}}{11} + \frac{100 A a b^{9} d^{9} e}{11} + \frac{A b^{10} d^{10}}{11} + \frac{10 B a^{10} d e^{9}}{11} + \frac{450 B a^{9} b d^{2} e^{8}}{11} + \frac{5400 B a^{8} b^{2} d^{3} e^{7}}{11} + \frac{25200 B a^{7} b^{3} d^{4} e^{6}}{11} + \frac{52920 B a^{6} b^{4} d^{5} e^{5}}{11} + \frac{52920 B a^{5} b^{5} d^{6} e^{4}}{11} + \frac{25200 B a^{4} b^{6} d^{7} e^{3}}{11} + \frac{5400 B a^{3} b^{7} d^{8} e^{2}}{11} + \frac{450 B a^{2} b^{8} d^{9} e}{11} + \frac{10 B a b^{9} d^{10}}{11}\right) + x^{10} \left(A a^{10} d e^{9} + 45 A a^{9} b d^{2} e^{8} + 540 A a^{8} b^{2} d^{3} e^{7} + 2520 A a^{7} b^{3} d^{4} e^{6} + 5292 A a^{6} b^{4} d^{5} e^{5} + 5292 A a^{5} b^{5} d^{6} e^{4} + 2520 A a^{4} b^{6} d^{7} e^{3} + 540 A a^{3} b^{7} d^{8} e^{2} + 45 A a^{2} b^{8} d^{9} e + A a b^{9} d^{10} + \frac{9 B a^{10} d^{2} e^{8}}{2} + 120 B a^{9} b d^{3} e^{7} + 945 B a^{8} b^{2} d^{4} e^{6} + 3024 B a^{7} b^{3} d^{5} e^{5} + 4410 B a^{6} b^{4} d^{6} e^{4} + 3024 B a^{5} b^{5} d^{7} e^{3} + 945 B a^{4} b^{6} d^{8} e^{2} + 120 B a^{3} b^{7} d^{9} e + \frac{9 B a^{2} b^{8} d^{10}}{2}\right) + x^{9} \left(5 A a^{10} d^{2} e^{8} + \frac{400 A a^{9} b d^{3} e^{7}}{3} + 1050 A a^{8} b^{2} d^{4} e^{6} + 3360 A a^{7} b^{3} d^{5} e^{5} + 4900 A a^{6} b^{4} d^{6} e^{4} + 3360 A a^{5} b^{5} d^{7} e^{3} + 1050 A a^{4} b^{6} d^{8} e^{2} + \frac{400 A a^{3} b^{7} d^{9} e}{3} + 5 A a^{2} b^{8} d^{10} + \frac{40 B a^{10} d^{3} e^{7}}{3} + \frac{700 B a^{9} b d^{4} e^{6}}{3} + 1260 B a^{8} b^{2} d^{5} e^{5} + 2800 B a^{7} b^{3} d^{6} e^{4} + 2800 B a^{6} b^{4} d^{7} e^{3} + 1260 B a^{5} b^{5} d^{8} e^{2} + \frac{700 B a^{4} b^{6} d^{9} e}{3} + \frac{40 B a^{3} b^{7} d^{10}}{3}\right) + x^{8} \left(15 A a^{10} d^{3} e^{7} + \frac{525 A a^{9} b d^{4} e^{6}}{2} + \frac{2835 A a^{8} b^{2} d^{5} e^{5}}{2} + 3150 A a^{7} b^{3} d^{6} e^{4} + 3150 A a^{6} b^{4} d^{7} e^{3} + \frac{2835 A a^{5} b^{5} d^{8} e^{2}}{2} + \frac{525 A a^{4} b^{6} d^{9} e}{2} + 15 A a^{3} b^{7} d^{10} + \frac{105 B a^{10} d^{4} e^{6}}{4} + 315 B a^{9} b d^{5} e^{5} + \frac{4725 B a^{8} b^{2} d^{6} e^{4}}{4} + 1800 B a^{7} b^{3} d^{7} e^{3} + \frac{4725 B a^{6} b^{4} d^{8} e^{2}}{4} + 315 B a^{5} b^{5} d^{9} e + \frac{105 B a^{4} b^{6} d^{10}}{4}\right) + x^{7} \left(30 A a^{10} d^{4} e^{6} + 360 A a^{9} b d^{5} e^{5} + 1350 A a^{8} b^{2} d^{6} e^{4} + \frac{14400 A a^{7} b^{3} d^{7} e^{3}}{7} + 1350 A a^{6} b^{4} d^{8} e^{2} + 360 A a^{5} b^{5} d^{9} e + 30 A a^{4} b^{6} d^{10} + 36 B a^{10} d^{5} e^{5} + 300 B a^{9} b d^{6} e^{4} + \frac{5400 B a^{8} b^{2} d^{7} e^{3}}{7} + \frac{5400 B a^{7} b^{3} d^{8} e^{2}}{7} + 300 B a^{6} b^{4} d^{9} e + 36 B a^{5} b^{5} d^{10}\right) + x^{6} \left(42 A a^{10} d^{5} e^{5} + 350 A a^{9} b d^{6} e^{4} + 900 A a^{8} b^{2} d^{7} e^{3} + 900 A a^{7} b^{3} d^{8} e^{2} + 350 A a^{6} b^{4} d^{9} e + 42 A a^{5} b^{5} d^{10} + 35 B a^{10} d^{6} e^{4} + 200 B a^{9} b d^{7} e^{3} + \frac{675 B a^{8} b^{2} d^{8} e^{2}}{2} + 200 B a^{7} b^{3} d^{9} e + 35 B a^{6} b^{4} d^{10}\right) + x^{5} \left(42 A a^{10} d^{6} e^{4} + 240 A a^{9} b d^{7} e^{3} + 405 A a^{8} b^{2} d^{8} e^{2} + 240 A a^{7} b^{3} d^{9} e + 42 A a^{6} b^{4} d^{10} + 24 B a^{10} d^{7} e^{3} + 90 B a^{9} b d^{8} e^{2} + 90 B a^{8} b^{2} d^{9} e + 24 B a^{7} b^{3} d^{10}\right) + x^{4} \left(30 A a^{10} d^{7} e^{3} + \frac{225 A a^{9} b d^{8} e^{2}}{2} + \frac{225 A a^{8} b^{2} d^{9} e}{2} + 30 A a^{7} b^{3} d^{10} + \frac{45 B a^{10} d^{8} e^{2}}{4} + 25 B a^{9} b d^{9} e + \frac{45 B a^{8} b^{2} d^{10}}{4}\right) + x^{3} \left(15 A a^{10} d^{8} e^{2} + \frac{100 A a^{9} b d^{9} e}{3} + 15 A a^{8} b^{2} d^{10} + \frac{10 B a^{10} d^{9} e}{3} + \frac{10 B a^{9} b d^{10}}{3}\right) + x^{2} \left(5 A a^{10} d^{9} e + 5 A a^{9} b d^{10} + \frac{B a^{10} d^{10}}{2}\right)"," ",0,"A*a**10*d**10*x + B*b**10*e**10*x**22/22 + x**21*(A*b**10*e**10/21 + 10*B*a*b**9*e**10/21 + 10*B*b**10*d*e**9/21) + x**20*(A*a*b**9*e**10/2 + A*b**10*d*e**9/2 + 9*B*a**2*b**8*e**10/4 + 5*B*a*b**9*d*e**9 + 9*B*b**10*d**2*e**8/4) + x**19*(45*A*a**2*b**8*e**10/19 + 100*A*a*b**9*d*e**9/19 + 45*A*b**10*d**2*e**8/19 + 120*B*a**3*b**7*e**10/19 + 450*B*a**2*b**8*d*e**9/19 + 450*B*a*b**9*d**2*e**8/19 + 120*B*b**10*d**3*e**7/19) + x**18*(20*A*a**3*b**7*e**10/3 + 25*A*a**2*b**8*d*e**9 + 25*A*a*b**9*d**2*e**8 + 20*A*b**10*d**3*e**7/3 + 35*B*a**4*b**6*e**10/3 + 200*B*a**3*b**7*d*e**9/3 + 225*B*a**2*b**8*d**2*e**8/2 + 200*B*a*b**9*d**3*e**7/3 + 35*B*b**10*d**4*e**6/3) + x**17*(210*A*a**4*b**6*e**10/17 + 1200*A*a**3*b**7*d*e**9/17 + 2025*A*a**2*b**8*d**2*e**8/17 + 1200*A*a*b**9*d**3*e**7/17 + 210*A*b**10*d**4*e**6/17 + 252*B*a**5*b**5*e**10/17 + 2100*B*a**4*b**6*d*e**9/17 + 5400*B*a**3*b**7*d**2*e**8/17 + 5400*B*a**2*b**8*d**3*e**7/17 + 2100*B*a*b**9*d**4*e**6/17 + 252*B*b**10*d**5*e**5/17) + x**16*(63*A*a**5*b**5*e**10/4 + 525*A*a**4*b**6*d*e**9/4 + 675*A*a**3*b**7*d**2*e**8/2 + 675*A*a**2*b**8*d**3*e**7/2 + 525*A*a*b**9*d**4*e**6/4 + 63*A*b**10*d**5*e**5/4 + 105*B*a**6*b**4*e**10/8 + 315*B*a**5*b**5*d*e**9/2 + 4725*B*a**4*b**6*d**2*e**8/8 + 900*B*a**3*b**7*d**3*e**7 + 4725*B*a**2*b**8*d**4*e**6/8 + 315*B*a*b**9*d**5*e**5/2 + 105*B*b**10*d**6*e**4/8) + x**15*(14*A*a**6*b**4*e**10 + 168*A*a**5*b**5*d*e**9 + 630*A*a**4*b**6*d**2*e**8 + 960*A*a**3*b**7*d**3*e**7 + 630*A*a**2*b**8*d**4*e**6 + 168*A*a*b**9*d**5*e**5 + 14*A*b**10*d**6*e**4 + 8*B*a**7*b**3*e**10 + 140*B*a**6*b**4*d*e**9 + 756*B*a**5*b**5*d**2*e**8 + 1680*B*a**4*b**6*d**3*e**7 + 1680*B*a**3*b**7*d**4*e**6 + 756*B*a**2*b**8*d**5*e**5 + 140*B*a*b**9*d**6*e**4 + 8*B*b**10*d**7*e**3) + x**14*(60*A*a**7*b**3*e**10/7 + 150*A*a**6*b**4*d*e**9 + 810*A*a**5*b**5*d**2*e**8 + 1800*A*a**4*b**6*d**3*e**7 + 1800*A*a**3*b**7*d**4*e**6 + 810*A*a**2*b**8*d**5*e**5 + 150*A*a*b**9*d**6*e**4 + 60*A*b**10*d**7*e**3/7 + 45*B*a**8*b**2*e**10/14 + 600*B*a**7*b**3*d*e**9/7 + 675*B*a**6*b**4*d**2*e**8 + 2160*B*a**5*b**5*d**3*e**7 + 3150*B*a**4*b**6*d**4*e**6 + 2160*B*a**3*b**7*d**5*e**5 + 675*B*a**2*b**8*d**6*e**4 + 600*B*a*b**9*d**7*e**3/7 + 45*B*b**10*d**8*e**2/14) + x**13*(45*A*a**8*b**2*e**10/13 + 1200*A*a**7*b**3*d*e**9/13 + 9450*A*a**6*b**4*d**2*e**8/13 + 30240*A*a**5*b**5*d**3*e**7/13 + 44100*A*a**4*b**6*d**4*e**6/13 + 30240*A*a**3*b**7*d**5*e**5/13 + 9450*A*a**2*b**8*d**6*e**4/13 + 1200*A*a*b**9*d**7*e**3/13 + 45*A*b**10*d**8*e**2/13 + 10*B*a**9*b*e**10/13 + 450*B*a**8*b**2*d*e**9/13 + 5400*B*a**7*b**3*d**2*e**8/13 + 25200*B*a**6*b**4*d**3*e**7/13 + 52920*B*a**5*b**5*d**4*e**6/13 + 52920*B*a**4*b**6*d**5*e**5/13 + 25200*B*a**3*b**7*d**6*e**4/13 + 5400*B*a**2*b**8*d**7*e**3/13 + 450*B*a*b**9*d**8*e**2/13 + 10*B*b**10*d**9*e/13) + x**12*(5*A*a**9*b*e**10/6 + 75*A*a**8*b**2*d*e**9/2 + 450*A*a**7*b**3*d**2*e**8 + 2100*A*a**6*b**4*d**3*e**7 + 4410*A*a**5*b**5*d**4*e**6 + 4410*A*a**4*b**6*d**5*e**5 + 2100*A*a**3*b**7*d**6*e**4 + 450*A*a**2*b**8*d**7*e**3 + 75*A*a*b**9*d**8*e**2/2 + 5*A*b**10*d**9*e/6 + B*a**10*e**10/12 + 25*B*a**9*b*d*e**9/3 + 675*B*a**8*b**2*d**2*e**8/4 + 1200*B*a**7*b**3*d**3*e**7 + 3675*B*a**6*b**4*d**4*e**6 + 5292*B*a**5*b**5*d**5*e**5 + 3675*B*a**4*b**6*d**6*e**4 + 1200*B*a**3*b**7*d**7*e**3 + 675*B*a**2*b**8*d**8*e**2/4 + 25*B*a*b**9*d**9*e/3 + B*b**10*d**10/12) + x**11*(A*a**10*e**10/11 + 100*A*a**9*b*d*e**9/11 + 2025*A*a**8*b**2*d**2*e**8/11 + 14400*A*a**7*b**3*d**3*e**7/11 + 44100*A*a**6*b**4*d**4*e**6/11 + 63504*A*a**5*b**5*d**5*e**5/11 + 44100*A*a**4*b**6*d**6*e**4/11 + 14400*A*a**3*b**7*d**7*e**3/11 + 2025*A*a**2*b**8*d**8*e**2/11 + 100*A*a*b**9*d**9*e/11 + A*b**10*d**10/11 + 10*B*a**10*d*e**9/11 + 450*B*a**9*b*d**2*e**8/11 + 5400*B*a**8*b**2*d**3*e**7/11 + 25200*B*a**7*b**3*d**4*e**6/11 + 52920*B*a**6*b**4*d**5*e**5/11 + 52920*B*a**5*b**5*d**6*e**4/11 + 25200*B*a**4*b**6*d**7*e**3/11 + 5400*B*a**3*b**7*d**8*e**2/11 + 450*B*a**2*b**8*d**9*e/11 + 10*B*a*b**9*d**10/11) + x**10*(A*a**10*d*e**9 + 45*A*a**9*b*d**2*e**8 + 540*A*a**8*b**2*d**3*e**7 + 2520*A*a**7*b**3*d**4*e**6 + 5292*A*a**6*b**4*d**5*e**5 + 5292*A*a**5*b**5*d**6*e**4 + 2520*A*a**4*b**6*d**7*e**3 + 540*A*a**3*b**7*d**8*e**2 + 45*A*a**2*b**8*d**9*e + A*a*b**9*d**10 + 9*B*a**10*d**2*e**8/2 + 120*B*a**9*b*d**3*e**7 + 945*B*a**8*b**2*d**4*e**6 + 3024*B*a**7*b**3*d**5*e**5 + 4410*B*a**6*b**4*d**6*e**4 + 3024*B*a**5*b**5*d**7*e**3 + 945*B*a**4*b**6*d**8*e**2 + 120*B*a**3*b**7*d**9*e + 9*B*a**2*b**8*d**10/2) + x**9*(5*A*a**10*d**2*e**8 + 400*A*a**9*b*d**3*e**7/3 + 1050*A*a**8*b**2*d**4*e**6 + 3360*A*a**7*b**3*d**5*e**5 + 4900*A*a**6*b**4*d**6*e**4 + 3360*A*a**5*b**5*d**7*e**3 + 1050*A*a**4*b**6*d**8*e**2 + 400*A*a**3*b**7*d**9*e/3 + 5*A*a**2*b**8*d**10 + 40*B*a**10*d**3*e**7/3 + 700*B*a**9*b*d**4*e**6/3 + 1260*B*a**8*b**2*d**5*e**5 + 2800*B*a**7*b**3*d**6*e**4 + 2800*B*a**6*b**4*d**7*e**3 + 1260*B*a**5*b**5*d**8*e**2 + 700*B*a**4*b**6*d**9*e/3 + 40*B*a**3*b**7*d**10/3) + x**8*(15*A*a**10*d**3*e**7 + 525*A*a**9*b*d**4*e**6/2 + 2835*A*a**8*b**2*d**5*e**5/2 + 3150*A*a**7*b**3*d**6*e**4 + 3150*A*a**6*b**4*d**7*e**3 + 2835*A*a**5*b**5*d**8*e**2/2 + 525*A*a**4*b**6*d**9*e/2 + 15*A*a**3*b**7*d**10 + 105*B*a**10*d**4*e**6/4 + 315*B*a**9*b*d**5*e**5 + 4725*B*a**8*b**2*d**6*e**4/4 + 1800*B*a**7*b**3*d**7*e**3 + 4725*B*a**6*b**4*d**8*e**2/4 + 315*B*a**5*b**5*d**9*e + 105*B*a**4*b**6*d**10/4) + x**7*(30*A*a**10*d**4*e**6 + 360*A*a**9*b*d**5*e**5 + 1350*A*a**8*b**2*d**6*e**4 + 14400*A*a**7*b**3*d**7*e**3/7 + 1350*A*a**6*b**4*d**8*e**2 + 360*A*a**5*b**5*d**9*e + 30*A*a**4*b**6*d**10 + 36*B*a**10*d**5*e**5 + 300*B*a**9*b*d**6*e**4 + 5400*B*a**8*b**2*d**7*e**3/7 + 5400*B*a**7*b**3*d**8*e**2/7 + 300*B*a**6*b**4*d**9*e + 36*B*a**5*b**5*d**10) + x**6*(42*A*a**10*d**5*e**5 + 350*A*a**9*b*d**6*e**4 + 900*A*a**8*b**2*d**7*e**3 + 900*A*a**7*b**3*d**8*e**2 + 350*A*a**6*b**4*d**9*e + 42*A*a**5*b**5*d**10 + 35*B*a**10*d**6*e**4 + 200*B*a**9*b*d**7*e**3 + 675*B*a**8*b**2*d**8*e**2/2 + 200*B*a**7*b**3*d**9*e + 35*B*a**6*b**4*d**10) + x**5*(42*A*a**10*d**6*e**4 + 240*A*a**9*b*d**7*e**3 + 405*A*a**8*b**2*d**8*e**2 + 240*A*a**7*b**3*d**9*e + 42*A*a**6*b**4*d**10 + 24*B*a**10*d**7*e**3 + 90*B*a**9*b*d**8*e**2 + 90*B*a**8*b**2*d**9*e + 24*B*a**7*b**3*d**10) + x**4*(30*A*a**10*d**7*e**3 + 225*A*a**9*b*d**8*e**2/2 + 225*A*a**8*b**2*d**9*e/2 + 30*A*a**7*b**3*d**10 + 45*B*a**10*d**8*e**2/4 + 25*B*a**9*b*d**9*e + 45*B*a**8*b**2*d**10/4) + x**3*(15*A*a**10*d**8*e**2 + 100*A*a**9*b*d**9*e/3 + 15*A*a**8*b**2*d**10 + 10*B*a**10*d**9*e/3 + 10*B*a**9*b*d**10/3) + x**2*(5*A*a**10*d**9*e + 5*A*a**9*b*d**10 + B*a**10*d**10/2)","B",0
1079,1,3541,0,0.515274," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**9,x)","A a^{10} d^{9} x + \frac{B b^{10} e^{9} x^{21}}{21} + x^{20} \left(\frac{A b^{10} e^{9}}{20} + \frac{B a b^{9} e^{9}}{2} + \frac{9 B b^{10} d e^{8}}{20}\right) + x^{19} \left(\frac{10 A a b^{9} e^{9}}{19} + \frac{9 A b^{10} d e^{8}}{19} + \frac{45 B a^{2} b^{8} e^{9}}{19} + \frac{90 B a b^{9} d e^{8}}{19} + \frac{36 B b^{10} d^{2} e^{7}}{19}\right) + x^{18} \left(\frac{5 A a^{2} b^{8} e^{9}}{2} + 5 A a b^{9} d e^{8} + 2 A b^{10} d^{2} e^{7} + \frac{20 B a^{3} b^{7} e^{9}}{3} + \frac{45 B a^{2} b^{8} d e^{8}}{2} + 20 B a b^{9} d^{2} e^{7} + \frac{14 B b^{10} d^{3} e^{6}}{3}\right) + x^{17} \left(\frac{120 A a^{3} b^{7} e^{9}}{17} + \frac{405 A a^{2} b^{8} d e^{8}}{17} + \frac{360 A a b^{9} d^{2} e^{7}}{17} + \frac{84 A b^{10} d^{3} e^{6}}{17} + \frac{210 B a^{4} b^{6} e^{9}}{17} + \frac{1080 B a^{3} b^{7} d e^{8}}{17} + \frac{1620 B a^{2} b^{8} d^{2} e^{7}}{17} + \frac{840 B a b^{9} d^{3} e^{6}}{17} + \frac{126 B b^{10} d^{4} e^{5}}{17}\right) + x^{16} \left(\frac{105 A a^{4} b^{6} e^{9}}{8} + \frac{135 A a^{3} b^{7} d e^{8}}{2} + \frac{405 A a^{2} b^{8} d^{2} e^{7}}{4} + \frac{105 A a b^{9} d^{3} e^{6}}{2} + \frac{63 A b^{10} d^{4} e^{5}}{8} + \frac{63 B a^{5} b^{5} e^{9}}{4} + \frac{945 B a^{4} b^{6} d e^{8}}{8} + 270 B a^{3} b^{7} d^{2} e^{7} + \frac{945 B a^{2} b^{8} d^{3} e^{6}}{4} + \frac{315 B a b^{9} d^{4} e^{5}}{4} + \frac{63 B b^{10} d^{5} e^{4}}{8}\right) + x^{15} \left(\frac{84 A a^{5} b^{5} e^{9}}{5} + 126 A a^{4} b^{6} d e^{8} + 288 A a^{3} b^{7} d^{2} e^{7} + 252 A a^{2} b^{8} d^{3} e^{6} + 84 A a b^{9} d^{4} e^{5} + \frac{42 A b^{10} d^{5} e^{4}}{5} + 14 B a^{6} b^{4} e^{9} + \frac{756 B a^{5} b^{5} d e^{8}}{5} + 504 B a^{4} b^{6} d^{2} e^{7} + 672 B a^{3} b^{7} d^{3} e^{6} + 378 B a^{2} b^{8} d^{4} e^{5} + 84 B a b^{9} d^{5} e^{4} + \frac{28 B b^{10} d^{6} e^{3}}{5}\right) + x^{14} \left(15 A a^{6} b^{4} e^{9} + 162 A a^{5} b^{5} d e^{8} + 540 A a^{4} b^{6} d^{2} e^{7} + 720 A a^{3} b^{7} d^{3} e^{6} + 405 A a^{2} b^{8} d^{4} e^{5} + 90 A a b^{9} d^{5} e^{4} + 6 A b^{10} d^{6} e^{3} + \frac{60 B a^{7} b^{3} e^{9}}{7} + 135 B a^{6} b^{4} d e^{8} + 648 B a^{5} b^{5} d^{2} e^{7} + 1260 B a^{4} b^{6} d^{3} e^{6} + 1080 B a^{3} b^{7} d^{4} e^{5} + 405 B a^{2} b^{8} d^{5} e^{4} + 60 B a b^{9} d^{6} e^{3} + \frac{18 B b^{10} d^{7} e^{2}}{7}\right) + x^{13} \left(\frac{120 A a^{7} b^{3} e^{9}}{13} + \frac{1890 A a^{6} b^{4} d e^{8}}{13} + \frac{9072 A a^{5} b^{5} d^{2} e^{7}}{13} + \frac{17640 A a^{4} b^{6} d^{3} e^{6}}{13} + \frac{15120 A a^{3} b^{7} d^{4} e^{5}}{13} + \frac{5670 A a^{2} b^{8} d^{5} e^{4}}{13} + \frac{840 A a b^{9} d^{6} e^{3}}{13} + \frac{36 A b^{10} d^{7} e^{2}}{13} + \frac{45 B a^{8} b^{2} e^{9}}{13} + \frac{1080 B a^{7} b^{3} d e^{8}}{13} + \frac{7560 B a^{6} b^{4} d^{2} e^{7}}{13} + \frac{21168 B a^{5} b^{5} d^{3} e^{6}}{13} + \frac{26460 B a^{4} b^{6} d^{4} e^{5}}{13} + \frac{15120 B a^{3} b^{7} d^{5} e^{4}}{13} + \frac{3780 B a^{2} b^{8} d^{6} e^{3}}{13} + \frac{360 B a b^{9} d^{7} e^{2}}{13} + \frac{9 B b^{10} d^{8} e}{13}\right) + x^{12} \left(\frac{15 A a^{8} b^{2} e^{9}}{4} + 90 A a^{7} b^{3} d e^{8} + 630 A a^{6} b^{4} d^{2} e^{7} + 1764 A a^{5} b^{5} d^{3} e^{6} + 2205 A a^{4} b^{6} d^{4} e^{5} + 1260 A a^{3} b^{7} d^{5} e^{4} + 315 A a^{2} b^{8} d^{6} e^{3} + 30 A a b^{9} d^{7} e^{2} + \frac{3 A b^{10} d^{8} e}{4} + \frac{5 B a^{9} b e^{9}}{6} + \frac{135 B a^{8} b^{2} d e^{8}}{4} + 360 B a^{7} b^{3} d^{2} e^{7} + 1470 B a^{6} b^{4} d^{3} e^{6} + 2646 B a^{5} b^{5} d^{4} e^{5} + 2205 B a^{4} b^{6} d^{5} e^{4} + 840 B a^{3} b^{7} d^{6} e^{3} + 135 B a^{2} b^{8} d^{7} e^{2} + \frac{15 B a b^{9} d^{8} e}{2} + \frac{B b^{10} d^{9}}{12}\right) + x^{11} \left(\frac{10 A a^{9} b e^{9}}{11} + \frac{405 A a^{8} b^{2} d e^{8}}{11} + \frac{4320 A a^{7} b^{3} d^{2} e^{7}}{11} + \frac{17640 A a^{6} b^{4} d^{3} e^{6}}{11} + \frac{31752 A a^{5} b^{5} d^{4} e^{5}}{11} + \frac{26460 A a^{4} b^{6} d^{5} e^{4}}{11} + \frac{10080 A a^{3} b^{7} d^{6} e^{3}}{11} + \frac{1620 A a^{2} b^{8} d^{7} e^{2}}{11} + \frac{90 A a b^{9} d^{8} e}{11} + \frac{A b^{10} d^{9}}{11} + \frac{B a^{10} e^{9}}{11} + \frac{90 B a^{9} b d e^{8}}{11} + \frac{1620 B a^{8} b^{2} d^{2} e^{7}}{11} + \frac{10080 B a^{7} b^{3} d^{3} e^{6}}{11} + \frac{26460 B a^{6} b^{4} d^{4} e^{5}}{11} + \frac{31752 B a^{5} b^{5} d^{5} e^{4}}{11} + \frac{17640 B a^{4} b^{6} d^{6} e^{3}}{11} + \frac{4320 B a^{3} b^{7} d^{7} e^{2}}{11} + \frac{405 B a^{2} b^{8} d^{8} e}{11} + \frac{10 B a b^{9} d^{9}}{11}\right) + x^{10} \left(\frac{A a^{10} e^{9}}{10} + 9 A a^{9} b d e^{8} + 162 A a^{8} b^{2} d^{2} e^{7} + 1008 A a^{7} b^{3} d^{3} e^{6} + 2646 A a^{6} b^{4} d^{4} e^{5} + \frac{15876 A a^{5} b^{5} d^{5} e^{4}}{5} + 1764 A a^{4} b^{6} d^{6} e^{3} + 432 A a^{3} b^{7} d^{7} e^{2} + \frac{81 A a^{2} b^{8} d^{8} e}{2} + A a b^{9} d^{9} + \frac{9 B a^{10} d e^{8}}{10} + 36 B a^{9} b d^{2} e^{7} + 378 B a^{8} b^{2} d^{3} e^{6} + 1512 B a^{7} b^{3} d^{4} e^{5} + 2646 B a^{6} b^{4} d^{5} e^{4} + \frac{10584 B a^{5} b^{5} d^{6} e^{3}}{5} + 756 B a^{4} b^{6} d^{7} e^{2} + 108 B a^{3} b^{7} d^{8} e + \frac{9 B a^{2} b^{8} d^{9}}{2}\right) + x^{9} \left(A a^{10} d e^{8} + 40 A a^{9} b d^{2} e^{7} + 420 A a^{8} b^{2} d^{3} e^{6} + 1680 A a^{7} b^{3} d^{4} e^{5} + 2940 A a^{6} b^{4} d^{5} e^{4} + 2352 A a^{5} b^{5} d^{6} e^{3} + 840 A a^{4} b^{6} d^{7} e^{2} + 120 A a^{3} b^{7} d^{8} e + 5 A a^{2} b^{8} d^{9} + 4 B a^{10} d^{2} e^{7} + \frac{280 B a^{9} b d^{3} e^{6}}{3} + 630 B a^{8} b^{2} d^{4} e^{5} + 1680 B a^{7} b^{3} d^{5} e^{4} + 1960 B a^{6} b^{4} d^{6} e^{3} + 1008 B a^{5} b^{5} d^{7} e^{2} + 210 B a^{4} b^{6} d^{8} e + \frac{40 B a^{3} b^{7} d^{9}}{3}\right) + x^{8} \left(\frac{9 A a^{10} d^{2} e^{7}}{2} + 105 A a^{9} b d^{3} e^{6} + \frac{2835 A a^{8} b^{2} d^{4} e^{5}}{4} + 1890 A a^{7} b^{3} d^{5} e^{4} + 2205 A a^{6} b^{4} d^{6} e^{3} + 1134 A a^{5} b^{5} d^{7} e^{2} + \frac{945 A a^{4} b^{6} d^{8} e}{4} + 15 A a^{3} b^{7} d^{9} + \frac{21 B a^{10} d^{3} e^{6}}{2} + \frac{315 B a^{9} b d^{4} e^{5}}{2} + \frac{2835 B a^{8} b^{2} d^{5} e^{4}}{4} + 1260 B a^{7} b^{3} d^{6} e^{3} + 945 B a^{6} b^{4} d^{7} e^{2} + \frac{567 B a^{5} b^{5} d^{8} e}{2} + \frac{105 B a^{4} b^{6} d^{9}}{4}\right) + x^{7} \left(12 A a^{10} d^{3} e^{6} + 180 A a^{9} b d^{4} e^{5} + 810 A a^{8} b^{2} d^{5} e^{4} + 1440 A a^{7} b^{3} d^{6} e^{3} + 1080 A a^{6} b^{4} d^{7} e^{2} + 324 A a^{5} b^{5} d^{8} e + 30 A a^{4} b^{6} d^{9} + 18 B a^{10} d^{4} e^{5} + 180 B a^{9} b d^{5} e^{4} + 540 B a^{8} b^{2} d^{6} e^{3} + \frac{4320 B a^{7} b^{3} d^{7} e^{2}}{7} + 270 B a^{6} b^{4} d^{8} e + 36 B a^{5} b^{5} d^{9}\right) + x^{6} \left(21 A a^{10} d^{4} e^{5} + 210 A a^{9} b d^{5} e^{4} + 630 A a^{8} b^{2} d^{6} e^{3} + 720 A a^{7} b^{3} d^{7} e^{2} + 315 A a^{6} b^{4} d^{8} e + 42 A a^{5} b^{5} d^{9} + 21 B a^{10} d^{5} e^{4} + 140 B a^{9} b d^{6} e^{3} + 270 B a^{8} b^{2} d^{7} e^{2} + 180 B a^{7} b^{3} d^{8} e + 35 B a^{6} b^{4} d^{9}\right) + x^{5} \left(\frac{126 A a^{10} d^{5} e^{4}}{5} + 168 A a^{9} b d^{6} e^{3} + 324 A a^{8} b^{2} d^{7} e^{2} + 216 A a^{7} b^{3} d^{8} e + 42 A a^{6} b^{4} d^{9} + \frac{84 B a^{10} d^{6} e^{3}}{5} + 72 B a^{9} b d^{7} e^{2} + 81 B a^{8} b^{2} d^{8} e + 24 B a^{7} b^{3} d^{9}\right) + x^{4} \left(21 A a^{10} d^{6} e^{3} + 90 A a^{9} b d^{7} e^{2} + \frac{405 A a^{8} b^{2} d^{8} e}{4} + 30 A a^{7} b^{3} d^{9} + 9 B a^{10} d^{7} e^{2} + \frac{45 B a^{9} b d^{8} e}{2} + \frac{45 B a^{8} b^{2} d^{9}}{4}\right) + x^{3} \left(12 A a^{10} d^{7} e^{2} + 30 A a^{9} b d^{8} e + 15 A a^{8} b^{2} d^{9} + 3 B a^{10} d^{8} e + \frac{10 B a^{9} b d^{9}}{3}\right) + x^{2} \left(\frac{9 A a^{10} d^{8} e}{2} + 5 A a^{9} b d^{9} + \frac{B a^{10} d^{9}}{2}\right)"," ",0,"A*a**10*d**9*x + B*b**10*e**9*x**21/21 + x**20*(A*b**10*e**9/20 + B*a*b**9*e**9/2 + 9*B*b**10*d*e**8/20) + x**19*(10*A*a*b**9*e**9/19 + 9*A*b**10*d*e**8/19 + 45*B*a**2*b**8*e**9/19 + 90*B*a*b**9*d*e**8/19 + 36*B*b**10*d**2*e**7/19) + x**18*(5*A*a**2*b**8*e**9/2 + 5*A*a*b**9*d*e**8 + 2*A*b**10*d**2*e**7 + 20*B*a**3*b**7*e**9/3 + 45*B*a**2*b**8*d*e**8/2 + 20*B*a*b**9*d**2*e**7 + 14*B*b**10*d**3*e**6/3) + x**17*(120*A*a**3*b**7*e**9/17 + 405*A*a**2*b**8*d*e**8/17 + 360*A*a*b**9*d**2*e**7/17 + 84*A*b**10*d**3*e**6/17 + 210*B*a**4*b**6*e**9/17 + 1080*B*a**3*b**7*d*e**8/17 + 1620*B*a**2*b**8*d**2*e**7/17 + 840*B*a*b**9*d**3*e**6/17 + 126*B*b**10*d**4*e**5/17) + x**16*(105*A*a**4*b**6*e**9/8 + 135*A*a**3*b**7*d*e**8/2 + 405*A*a**2*b**8*d**2*e**7/4 + 105*A*a*b**9*d**3*e**6/2 + 63*A*b**10*d**4*e**5/8 + 63*B*a**5*b**5*e**9/4 + 945*B*a**4*b**6*d*e**8/8 + 270*B*a**3*b**7*d**2*e**7 + 945*B*a**2*b**8*d**3*e**6/4 + 315*B*a*b**9*d**4*e**5/4 + 63*B*b**10*d**5*e**4/8) + x**15*(84*A*a**5*b**5*e**9/5 + 126*A*a**4*b**6*d*e**8 + 288*A*a**3*b**7*d**2*e**7 + 252*A*a**2*b**8*d**3*e**6 + 84*A*a*b**9*d**4*e**5 + 42*A*b**10*d**5*e**4/5 + 14*B*a**6*b**4*e**9 + 756*B*a**5*b**5*d*e**8/5 + 504*B*a**4*b**6*d**2*e**7 + 672*B*a**3*b**7*d**3*e**6 + 378*B*a**2*b**8*d**4*e**5 + 84*B*a*b**9*d**5*e**4 + 28*B*b**10*d**6*e**3/5) + x**14*(15*A*a**6*b**4*e**9 + 162*A*a**5*b**5*d*e**8 + 540*A*a**4*b**6*d**2*e**7 + 720*A*a**3*b**7*d**3*e**6 + 405*A*a**2*b**8*d**4*e**5 + 90*A*a*b**9*d**5*e**4 + 6*A*b**10*d**6*e**3 + 60*B*a**7*b**3*e**9/7 + 135*B*a**6*b**4*d*e**8 + 648*B*a**5*b**5*d**2*e**7 + 1260*B*a**4*b**6*d**3*e**6 + 1080*B*a**3*b**7*d**4*e**5 + 405*B*a**2*b**8*d**5*e**4 + 60*B*a*b**9*d**6*e**3 + 18*B*b**10*d**7*e**2/7) + x**13*(120*A*a**7*b**3*e**9/13 + 1890*A*a**6*b**4*d*e**8/13 + 9072*A*a**5*b**5*d**2*e**7/13 + 17640*A*a**4*b**6*d**3*e**6/13 + 15120*A*a**3*b**7*d**4*e**5/13 + 5670*A*a**2*b**8*d**5*e**4/13 + 840*A*a*b**9*d**6*e**3/13 + 36*A*b**10*d**7*e**2/13 + 45*B*a**8*b**2*e**9/13 + 1080*B*a**7*b**3*d*e**8/13 + 7560*B*a**6*b**4*d**2*e**7/13 + 21168*B*a**5*b**5*d**3*e**6/13 + 26460*B*a**4*b**6*d**4*e**5/13 + 15120*B*a**3*b**7*d**5*e**4/13 + 3780*B*a**2*b**8*d**6*e**3/13 + 360*B*a*b**9*d**7*e**2/13 + 9*B*b**10*d**8*e/13) + x**12*(15*A*a**8*b**2*e**9/4 + 90*A*a**7*b**3*d*e**8 + 630*A*a**6*b**4*d**2*e**7 + 1764*A*a**5*b**5*d**3*e**6 + 2205*A*a**4*b**6*d**4*e**5 + 1260*A*a**3*b**7*d**5*e**4 + 315*A*a**2*b**8*d**6*e**3 + 30*A*a*b**9*d**7*e**2 + 3*A*b**10*d**8*e/4 + 5*B*a**9*b*e**9/6 + 135*B*a**8*b**2*d*e**8/4 + 360*B*a**7*b**3*d**2*e**7 + 1470*B*a**6*b**4*d**3*e**6 + 2646*B*a**5*b**5*d**4*e**5 + 2205*B*a**4*b**6*d**5*e**4 + 840*B*a**3*b**7*d**6*e**3 + 135*B*a**2*b**8*d**7*e**2 + 15*B*a*b**9*d**8*e/2 + B*b**10*d**9/12) + x**11*(10*A*a**9*b*e**9/11 + 405*A*a**8*b**2*d*e**8/11 + 4320*A*a**7*b**3*d**2*e**7/11 + 17640*A*a**6*b**4*d**3*e**6/11 + 31752*A*a**5*b**5*d**4*e**5/11 + 26460*A*a**4*b**6*d**5*e**4/11 + 10080*A*a**3*b**7*d**6*e**3/11 + 1620*A*a**2*b**8*d**7*e**2/11 + 90*A*a*b**9*d**8*e/11 + A*b**10*d**9/11 + B*a**10*e**9/11 + 90*B*a**9*b*d*e**8/11 + 1620*B*a**8*b**2*d**2*e**7/11 + 10080*B*a**7*b**3*d**3*e**6/11 + 26460*B*a**6*b**4*d**4*e**5/11 + 31752*B*a**5*b**5*d**5*e**4/11 + 17640*B*a**4*b**6*d**6*e**3/11 + 4320*B*a**3*b**7*d**7*e**2/11 + 405*B*a**2*b**8*d**8*e/11 + 10*B*a*b**9*d**9/11) + x**10*(A*a**10*e**9/10 + 9*A*a**9*b*d*e**8 + 162*A*a**8*b**2*d**2*e**7 + 1008*A*a**7*b**3*d**3*e**6 + 2646*A*a**6*b**4*d**4*e**5 + 15876*A*a**5*b**5*d**5*e**4/5 + 1764*A*a**4*b**6*d**6*e**3 + 432*A*a**3*b**7*d**7*e**2 + 81*A*a**2*b**8*d**8*e/2 + A*a*b**9*d**9 + 9*B*a**10*d*e**8/10 + 36*B*a**9*b*d**2*e**7 + 378*B*a**8*b**2*d**3*e**6 + 1512*B*a**7*b**3*d**4*e**5 + 2646*B*a**6*b**4*d**5*e**4 + 10584*B*a**5*b**5*d**6*e**3/5 + 756*B*a**4*b**6*d**7*e**2 + 108*B*a**3*b**7*d**8*e + 9*B*a**2*b**8*d**9/2) + x**9*(A*a**10*d*e**8 + 40*A*a**9*b*d**2*e**7 + 420*A*a**8*b**2*d**3*e**6 + 1680*A*a**7*b**3*d**4*e**5 + 2940*A*a**6*b**4*d**5*e**4 + 2352*A*a**5*b**5*d**6*e**3 + 840*A*a**4*b**6*d**7*e**2 + 120*A*a**3*b**7*d**8*e + 5*A*a**2*b**8*d**9 + 4*B*a**10*d**2*e**7 + 280*B*a**9*b*d**3*e**6/3 + 630*B*a**8*b**2*d**4*e**5 + 1680*B*a**7*b**3*d**5*e**4 + 1960*B*a**6*b**4*d**6*e**3 + 1008*B*a**5*b**5*d**7*e**2 + 210*B*a**4*b**6*d**8*e + 40*B*a**3*b**7*d**9/3) + x**8*(9*A*a**10*d**2*e**7/2 + 105*A*a**9*b*d**3*e**6 + 2835*A*a**8*b**2*d**4*e**5/4 + 1890*A*a**7*b**3*d**5*e**4 + 2205*A*a**6*b**4*d**6*e**3 + 1134*A*a**5*b**5*d**7*e**2 + 945*A*a**4*b**6*d**8*e/4 + 15*A*a**3*b**7*d**9 + 21*B*a**10*d**3*e**6/2 + 315*B*a**9*b*d**4*e**5/2 + 2835*B*a**8*b**2*d**5*e**4/4 + 1260*B*a**7*b**3*d**6*e**3 + 945*B*a**6*b**4*d**7*e**2 + 567*B*a**5*b**5*d**8*e/2 + 105*B*a**4*b**6*d**9/4) + x**7*(12*A*a**10*d**3*e**6 + 180*A*a**9*b*d**4*e**5 + 810*A*a**8*b**2*d**5*e**4 + 1440*A*a**7*b**3*d**6*e**3 + 1080*A*a**6*b**4*d**7*e**2 + 324*A*a**5*b**5*d**8*e + 30*A*a**4*b**6*d**9 + 18*B*a**10*d**4*e**5 + 180*B*a**9*b*d**5*e**4 + 540*B*a**8*b**2*d**6*e**3 + 4320*B*a**7*b**3*d**7*e**2/7 + 270*B*a**6*b**4*d**8*e + 36*B*a**5*b**5*d**9) + x**6*(21*A*a**10*d**4*e**5 + 210*A*a**9*b*d**5*e**4 + 630*A*a**8*b**2*d**6*e**3 + 720*A*a**7*b**3*d**7*e**2 + 315*A*a**6*b**4*d**8*e + 42*A*a**5*b**5*d**9 + 21*B*a**10*d**5*e**4 + 140*B*a**9*b*d**6*e**3 + 270*B*a**8*b**2*d**7*e**2 + 180*B*a**7*b**3*d**8*e + 35*B*a**6*b**4*d**9) + x**5*(126*A*a**10*d**5*e**4/5 + 168*A*a**9*b*d**6*e**3 + 324*A*a**8*b**2*d**7*e**2 + 216*A*a**7*b**3*d**8*e + 42*A*a**6*b**4*d**9 + 84*B*a**10*d**6*e**3/5 + 72*B*a**9*b*d**7*e**2 + 81*B*a**8*b**2*d**8*e + 24*B*a**7*b**3*d**9) + x**4*(21*A*a**10*d**6*e**3 + 90*A*a**9*b*d**7*e**2 + 405*A*a**8*b**2*d**8*e/4 + 30*A*a**7*b**3*d**9 + 9*B*a**10*d**7*e**2 + 45*B*a**9*b*d**8*e/2 + 45*B*a**8*b**2*d**9/4) + x**3*(12*A*a**10*d**7*e**2 + 30*A*a**9*b*d**8*e + 15*A*a**8*b**2*d**9 + 3*B*a**10*d**8*e + 10*B*a**9*b*d**9/3) + x**2*(9*A*a**10*d**8*e/2 + 5*A*a**9*b*d**9 + B*a**10*d**9/2)","B",0
1080,1,3165,0,0.465393," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**8,x)","A a^{10} d^{8} x + \frac{B b^{10} e^{8} x^{20}}{20} + x^{19} \left(\frac{A b^{10} e^{8}}{19} + \frac{10 B a b^{9} e^{8}}{19} + \frac{8 B b^{10} d e^{7}}{19}\right) + x^{18} \left(\frac{5 A a b^{9} e^{8}}{9} + \frac{4 A b^{10} d e^{7}}{9} + \frac{5 B a^{2} b^{8} e^{8}}{2} + \frac{40 B a b^{9} d e^{7}}{9} + \frac{14 B b^{10} d^{2} e^{6}}{9}\right) + x^{17} \left(\frac{45 A a^{2} b^{8} e^{8}}{17} + \frac{80 A a b^{9} d e^{7}}{17} + \frac{28 A b^{10} d^{2} e^{6}}{17} + \frac{120 B a^{3} b^{7} e^{8}}{17} + \frac{360 B a^{2} b^{8} d e^{7}}{17} + \frac{280 B a b^{9} d^{2} e^{6}}{17} + \frac{56 B b^{10} d^{3} e^{5}}{17}\right) + x^{16} \left(\frac{15 A a^{3} b^{7} e^{8}}{2} + \frac{45 A a^{2} b^{8} d e^{7}}{2} + \frac{35 A a b^{9} d^{2} e^{6}}{2} + \frac{7 A b^{10} d^{3} e^{5}}{2} + \frac{105 B a^{4} b^{6} e^{8}}{8} + 60 B a^{3} b^{7} d e^{7} + \frac{315 B a^{2} b^{8} d^{2} e^{6}}{4} + 35 B a b^{9} d^{3} e^{5} + \frac{35 B b^{10} d^{4} e^{4}}{8}\right) + x^{15} \left(14 A a^{4} b^{6} e^{8} + 64 A a^{3} b^{7} d e^{7} + 84 A a^{2} b^{8} d^{2} e^{6} + \frac{112 A a b^{9} d^{3} e^{5}}{3} + \frac{14 A b^{10} d^{4} e^{4}}{3} + \frac{84 B a^{5} b^{5} e^{8}}{5} + 112 B a^{4} b^{6} d e^{7} + 224 B a^{3} b^{7} d^{2} e^{6} + 168 B a^{2} b^{8} d^{3} e^{5} + \frac{140 B a b^{9} d^{4} e^{4}}{3} + \frac{56 B b^{10} d^{5} e^{3}}{15}\right) + x^{14} \left(18 A a^{5} b^{5} e^{8} + 120 A a^{4} b^{6} d e^{7} + 240 A a^{3} b^{7} d^{2} e^{6} + 180 A a^{2} b^{8} d^{3} e^{5} + 50 A a b^{9} d^{4} e^{4} + 4 A b^{10} d^{5} e^{3} + 15 B a^{6} b^{4} e^{8} + 144 B a^{5} b^{5} d e^{7} + 420 B a^{4} b^{6} d^{2} e^{6} + 480 B a^{3} b^{7} d^{3} e^{5} + 225 B a^{2} b^{8} d^{4} e^{4} + 40 B a b^{9} d^{5} e^{3} + 2 B b^{10} d^{6} e^{2}\right) + x^{13} \left(\frac{210 A a^{6} b^{4} e^{8}}{13} + \frac{2016 A a^{5} b^{5} d e^{7}}{13} + \frac{5880 A a^{4} b^{6} d^{2} e^{6}}{13} + \frac{6720 A a^{3} b^{7} d^{3} e^{5}}{13} + \frac{3150 A a^{2} b^{8} d^{4} e^{4}}{13} + \frac{560 A a b^{9} d^{5} e^{3}}{13} + \frac{28 A b^{10} d^{6} e^{2}}{13} + \frac{120 B a^{7} b^{3} e^{8}}{13} + \frac{1680 B a^{6} b^{4} d e^{7}}{13} + \frac{7056 B a^{5} b^{5} d^{2} e^{6}}{13} + \frac{11760 B a^{4} b^{6} d^{3} e^{5}}{13} + \frac{8400 B a^{3} b^{7} d^{4} e^{4}}{13} + \frac{2520 B a^{2} b^{8} d^{5} e^{3}}{13} + \frac{280 B a b^{9} d^{6} e^{2}}{13} + \frac{8 B b^{10} d^{7} e}{13}\right) + x^{12} \left(10 A a^{7} b^{3} e^{8} + 140 A a^{6} b^{4} d e^{7} + 588 A a^{5} b^{5} d^{2} e^{6} + 980 A a^{4} b^{6} d^{3} e^{5} + 700 A a^{3} b^{7} d^{4} e^{4} + 210 A a^{2} b^{8} d^{5} e^{3} + \frac{70 A a b^{9} d^{6} e^{2}}{3} + \frac{2 A b^{10} d^{7} e}{3} + \frac{15 B a^{8} b^{2} e^{8}}{4} + 80 B a^{7} b^{3} d e^{7} + 490 B a^{6} b^{4} d^{2} e^{6} + 1176 B a^{5} b^{5} d^{3} e^{5} + 1225 B a^{4} b^{6} d^{4} e^{4} + 560 B a^{3} b^{7} d^{5} e^{3} + 105 B a^{2} b^{8} d^{6} e^{2} + \frac{20 B a b^{9} d^{7} e}{3} + \frac{B b^{10} d^{8}}{12}\right) + x^{11} \left(\frac{45 A a^{8} b^{2} e^{8}}{11} + \frac{960 A a^{7} b^{3} d e^{7}}{11} + \frac{5880 A a^{6} b^{4} d^{2} e^{6}}{11} + \frac{14112 A a^{5} b^{5} d^{3} e^{5}}{11} + \frac{14700 A a^{4} b^{6} d^{4} e^{4}}{11} + \frac{6720 A a^{3} b^{7} d^{5} e^{3}}{11} + \frac{1260 A a^{2} b^{8} d^{6} e^{2}}{11} + \frac{80 A a b^{9} d^{7} e}{11} + \frac{A b^{10} d^{8}}{11} + \frac{10 B a^{9} b e^{8}}{11} + \frac{360 B a^{8} b^{2} d e^{7}}{11} + \frac{3360 B a^{7} b^{3} d^{2} e^{6}}{11} + \frac{11760 B a^{6} b^{4} d^{3} e^{5}}{11} + \frac{17640 B a^{5} b^{5} d^{4} e^{4}}{11} + \frac{11760 B a^{4} b^{6} d^{5} e^{3}}{11} + \frac{3360 B a^{3} b^{7} d^{6} e^{2}}{11} + \frac{360 B a^{2} b^{8} d^{7} e}{11} + \frac{10 B a b^{9} d^{8}}{11}\right) + x^{10} \left(A a^{9} b e^{8} + 36 A a^{8} b^{2} d e^{7} + 336 A a^{7} b^{3} d^{2} e^{6} + 1176 A a^{6} b^{4} d^{3} e^{5} + 1764 A a^{5} b^{5} d^{4} e^{4} + 1176 A a^{4} b^{6} d^{5} e^{3} + 336 A a^{3} b^{7} d^{6} e^{2} + 36 A a^{2} b^{8} d^{7} e + A a b^{9} d^{8} + \frac{B a^{10} e^{8}}{10} + 8 B a^{9} b d e^{7} + 126 B a^{8} b^{2} d^{2} e^{6} + 672 B a^{7} b^{3} d^{3} e^{5} + 1470 B a^{6} b^{4} d^{4} e^{4} + \frac{7056 B a^{5} b^{5} d^{5} e^{3}}{5} + 588 B a^{4} b^{6} d^{6} e^{2} + 96 B a^{3} b^{7} d^{7} e + \frac{9 B a^{2} b^{8} d^{8}}{2}\right) + x^{9} \left(\frac{A a^{10} e^{8}}{9} + \frac{80 A a^{9} b d e^{7}}{9} + 140 A a^{8} b^{2} d^{2} e^{6} + \frac{2240 A a^{7} b^{3} d^{3} e^{5}}{3} + \frac{4900 A a^{6} b^{4} d^{4} e^{4}}{3} + 1568 A a^{5} b^{5} d^{5} e^{3} + \frac{1960 A a^{4} b^{6} d^{6} e^{2}}{3} + \frac{320 A a^{3} b^{7} d^{7} e}{3} + 5 A a^{2} b^{8} d^{8} + \frac{8 B a^{10} d e^{7}}{9} + \frac{280 B a^{9} b d^{2} e^{6}}{9} + 280 B a^{8} b^{2} d^{3} e^{5} + \frac{2800 B a^{7} b^{3} d^{4} e^{4}}{3} + \frac{3920 B a^{6} b^{4} d^{5} e^{3}}{3} + 784 B a^{5} b^{5} d^{6} e^{2} + \frac{560 B a^{4} b^{6} d^{7} e}{3} + \frac{40 B a^{3} b^{7} d^{8}}{3}\right) + x^{8} \left(A a^{10} d e^{7} + 35 A a^{9} b d^{2} e^{6} + 315 A a^{8} b^{2} d^{3} e^{5} + 1050 A a^{7} b^{3} d^{4} e^{4} + 1470 A a^{6} b^{4} d^{5} e^{3} + 882 A a^{5} b^{5} d^{6} e^{2} + 210 A a^{4} b^{6} d^{7} e + 15 A a^{3} b^{7} d^{8} + \frac{7 B a^{10} d^{2} e^{6}}{2} + 70 B a^{9} b d^{3} e^{5} + \frac{1575 B a^{8} b^{2} d^{4} e^{4}}{4} + 840 B a^{7} b^{3} d^{5} e^{3} + 735 B a^{6} b^{4} d^{6} e^{2} + 252 B a^{5} b^{5} d^{7} e + \frac{105 B a^{4} b^{6} d^{8}}{4}\right) + x^{7} \left(4 A a^{10} d^{2} e^{6} + 80 A a^{9} b d^{3} e^{5} + 450 A a^{8} b^{2} d^{4} e^{4} + 960 A a^{7} b^{3} d^{5} e^{3} + 840 A a^{6} b^{4} d^{6} e^{2} + 288 A a^{5} b^{5} d^{7} e + 30 A a^{4} b^{6} d^{8} + 8 B a^{10} d^{3} e^{5} + 100 B a^{9} b d^{4} e^{4} + 360 B a^{8} b^{2} d^{5} e^{3} + 480 B a^{7} b^{3} d^{6} e^{2} + 240 B a^{6} b^{4} d^{7} e + 36 B a^{5} b^{5} d^{8}\right) + x^{6} \left(\frac{28 A a^{10} d^{3} e^{5}}{3} + \frac{350 A a^{9} b d^{4} e^{4}}{3} + 420 A a^{8} b^{2} d^{5} e^{3} + 560 A a^{7} b^{3} d^{6} e^{2} + 280 A a^{6} b^{4} d^{7} e + 42 A a^{5} b^{5} d^{8} + \frac{35 B a^{10} d^{4} e^{4}}{3} + \frac{280 B a^{9} b d^{5} e^{3}}{3} + 210 B a^{8} b^{2} d^{6} e^{2} + 160 B a^{7} b^{3} d^{7} e + 35 B a^{6} b^{4} d^{8}\right) + x^{5} \left(14 A a^{10} d^{4} e^{4} + 112 A a^{9} b d^{5} e^{3} + 252 A a^{8} b^{2} d^{6} e^{2} + 192 A a^{7} b^{3} d^{7} e + 42 A a^{6} b^{4} d^{8} + \frac{56 B a^{10} d^{5} e^{3}}{5} + 56 B a^{9} b d^{6} e^{2} + 72 B a^{8} b^{2} d^{7} e + 24 B a^{7} b^{3} d^{8}\right) + x^{4} \left(14 A a^{10} d^{5} e^{3} + 70 A a^{9} b d^{6} e^{2} + 90 A a^{8} b^{2} d^{7} e + 30 A a^{7} b^{3} d^{8} + 7 B a^{10} d^{6} e^{2} + 20 B a^{9} b d^{7} e + \frac{45 B a^{8} b^{2} d^{8}}{4}\right) + x^{3} \left(\frac{28 A a^{10} d^{6} e^{2}}{3} + \frac{80 A a^{9} b d^{7} e}{3} + 15 A a^{8} b^{2} d^{8} + \frac{8 B a^{10} d^{7} e}{3} + \frac{10 B a^{9} b d^{8}}{3}\right) + x^{2} \left(4 A a^{10} d^{7} e + 5 A a^{9} b d^{8} + \frac{B a^{10} d^{8}}{2}\right)"," ",0,"A*a**10*d**8*x + B*b**10*e**8*x**20/20 + x**19*(A*b**10*e**8/19 + 10*B*a*b**9*e**8/19 + 8*B*b**10*d*e**7/19) + x**18*(5*A*a*b**9*e**8/9 + 4*A*b**10*d*e**7/9 + 5*B*a**2*b**8*e**8/2 + 40*B*a*b**9*d*e**7/9 + 14*B*b**10*d**2*e**6/9) + x**17*(45*A*a**2*b**8*e**8/17 + 80*A*a*b**9*d*e**7/17 + 28*A*b**10*d**2*e**6/17 + 120*B*a**3*b**7*e**8/17 + 360*B*a**2*b**8*d*e**7/17 + 280*B*a*b**9*d**2*e**6/17 + 56*B*b**10*d**3*e**5/17) + x**16*(15*A*a**3*b**7*e**8/2 + 45*A*a**2*b**8*d*e**7/2 + 35*A*a*b**9*d**2*e**6/2 + 7*A*b**10*d**3*e**5/2 + 105*B*a**4*b**6*e**8/8 + 60*B*a**3*b**7*d*e**7 + 315*B*a**2*b**8*d**2*e**6/4 + 35*B*a*b**9*d**3*e**5 + 35*B*b**10*d**4*e**4/8) + x**15*(14*A*a**4*b**6*e**8 + 64*A*a**3*b**7*d*e**7 + 84*A*a**2*b**8*d**2*e**6 + 112*A*a*b**9*d**3*e**5/3 + 14*A*b**10*d**4*e**4/3 + 84*B*a**5*b**5*e**8/5 + 112*B*a**4*b**6*d*e**7 + 224*B*a**3*b**7*d**2*e**6 + 168*B*a**2*b**8*d**3*e**5 + 140*B*a*b**9*d**4*e**4/3 + 56*B*b**10*d**5*e**3/15) + x**14*(18*A*a**5*b**5*e**8 + 120*A*a**4*b**6*d*e**7 + 240*A*a**3*b**7*d**2*e**6 + 180*A*a**2*b**8*d**3*e**5 + 50*A*a*b**9*d**4*e**4 + 4*A*b**10*d**5*e**3 + 15*B*a**6*b**4*e**8 + 144*B*a**5*b**5*d*e**7 + 420*B*a**4*b**6*d**2*e**6 + 480*B*a**3*b**7*d**3*e**5 + 225*B*a**2*b**8*d**4*e**4 + 40*B*a*b**9*d**5*e**3 + 2*B*b**10*d**6*e**2) + x**13*(210*A*a**6*b**4*e**8/13 + 2016*A*a**5*b**5*d*e**7/13 + 5880*A*a**4*b**6*d**2*e**6/13 + 6720*A*a**3*b**7*d**3*e**5/13 + 3150*A*a**2*b**8*d**4*e**4/13 + 560*A*a*b**9*d**5*e**3/13 + 28*A*b**10*d**6*e**2/13 + 120*B*a**7*b**3*e**8/13 + 1680*B*a**6*b**4*d*e**7/13 + 7056*B*a**5*b**5*d**2*e**6/13 + 11760*B*a**4*b**6*d**3*e**5/13 + 8400*B*a**3*b**7*d**4*e**4/13 + 2520*B*a**2*b**8*d**5*e**3/13 + 280*B*a*b**9*d**6*e**2/13 + 8*B*b**10*d**7*e/13) + x**12*(10*A*a**7*b**3*e**8 + 140*A*a**6*b**4*d*e**7 + 588*A*a**5*b**5*d**2*e**6 + 980*A*a**4*b**6*d**3*e**5 + 700*A*a**3*b**7*d**4*e**4 + 210*A*a**2*b**8*d**5*e**3 + 70*A*a*b**9*d**6*e**2/3 + 2*A*b**10*d**7*e/3 + 15*B*a**8*b**2*e**8/4 + 80*B*a**7*b**3*d*e**7 + 490*B*a**6*b**4*d**2*e**6 + 1176*B*a**5*b**5*d**3*e**5 + 1225*B*a**4*b**6*d**4*e**4 + 560*B*a**3*b**7*d**5*e**3 + 105*B*a**2*b**8*d**6*e**2 + 20*B*a*b**9*d**7*e/3 + B*b**10*d**8/12) + x**11*(45*A*a**8*b**2*e**8/11 + 960*A*a**7*b**3*d*e**7/11 + 5880*A*a**6*b**4*d**2*e**6/11 + 14112*A*a**5*b**5*d**3*e**5/11 + 14700*A*a**4*b**6*d**4*e**4/11 + 6720*A*a**3*b**7*d**5*e**3/11 + 1260*A*a**2*b**8*d**6*e**2/11 + 80*A*a*b**9*d**7*e/11 + A*b**10*d**8/11 + 10*B*a**9*b*e**8/11 + 360*B*a**8*b**2*d*e**7/11 + 3360*B*a**7*b**3*d**2*e**6/11 + 11760*B*a**6*b**4*d**3*e**5/11 + 17640*B*a**5*b**5*d**4*e**4/11 + 11760*B*a**4*b**6*d**5*e**3/11 + 3360*B*a**3*b**7*d**6*e**2/11 + 360*B*a**2*b**8*d**7*e/11 + 10*B*a*b**9*d**8/11) + x**10*(A*a**9*b*e**8 + 36*A*a**8*b**2*d*e**7 + 336*A*a**7*b**3*d**2*e**6 + 1176*A*a**6*b**4*d**3*e**5 + 1764*A*a**5*b**5*d**4*e**4 + 1176*A*a**4*b**6*d**5*e**3 + 336*A*a**3*b**7*d**6*e**2 + 36*A*a**2*b**8*d**7*e + A*a*b**9*d**8 + B*a**10*e**8/10 + 8*B*a**9*b*d*e**7 + 126*B*a**8*b**2*d**2*e**6 + 672*B*a**7*b**3*d**3*e**5 + 1470*B*a**6*b**4*d**4*e**4 + 7056*B*a**5*b**5*d**5*e**3/5 + 588*B*a**4*b**6*d**6*e**2 + 96*B*a**3*b**7*d**7*e + 9*B*a**2*b**8*d**8/2) + x**9*(A*a**10*e**8/9 + 80*A*a**9*b*d*e**7/9 + 140*A*a**8*b**2*d**2*e**6 + 2240*A*a**7*b**3*d**3*e**5/3 + 4900*A*a**6*b**4*d**4*e**4/3 + 1568*A*a**5*b**5*d**5*e**3 + 1960*A*a**4*b**6*d**6*e**2/3 + 320*A*a**3*b**7*d**7*e/3 + 5*A*a**2*b**8*d**8 + 8*B*a**10*d*e**7/9 + 280*B*a**9*b*d**2*e**6/9 + 280*B*a**8*b**2*d**3*e**5 + 2800*B*a**7*b**3*d**4*e**4/3 + 3920*B*a**6*b**4*d**5*e**3/3 + 784*B*a**5*b**5*d**6*e**2 + 560*B*a**4*b**6*d**7*e/3 + 40*B*a**3*b**7*d**8/3) + x**8*(A*a**10*d*e**7 + 35*A*a**9*b*d**2*e**6 + 315*A*a**8*b**2*d**3*e**5 + 1050*A*a**7*b**3*d**4*e**4 + 1470*A*a**6*b**4*d**5*e**3 + 882*A*a**5*b**5*d**6*e**2 + 210*A*a**4*b**6*d**7*e + 15*A*a**3*b**7*d**8 + 7*B*a**10*d**2*e**6/2 + 70*B*a**9*b*d**3*e**5 + 1575*B*a**8*b**2*d**4*e**4/4 + 840*B*a**7*b**3*d**5*e**3 + 735*B*a**6*b**4*d**6*e**2 + 252*B*a**5*b**5*d**7*e + 105*B*a**4*b**6*d**8/4) + x**7*(4*A*a**10*d**2*e**6 + 80*A*a**9*b*d**3*e**5 + 450*A*a**8*b**2*d**4*e**4 + 960*A*a**7*b**3*d**5*e**3 + 840*A*a**6*b**4*d**6*e**2 + 288*A*a**5*b**5*d**7*e + 30*A*a**4*b**6*d**8 + 8*B*a**10*d**3*e**5 + 100*B*a**9*b*d**4*e**4 + 360*B*a**8*b**2*d**5*e**3 + 480*B*a**7*b**3*d**6*e**2 + 240*B*a**6*b**4*d**7*e + 36*B*a**5*b**5*d**8) + x**6*(28*A*a**10*d**3*e**5/3 + 350*A*a**9*b*d**4*e**4/3 + 420*A*a**8*b**2*d**5*e**3 + 560*A*a**7*b**3*d**6*e**2 + 280*A*a**6*b**4*d**7*e + 42*A*a**5*b**5*d**8 + 35*B*a**10*d**4*e**4/3 + 280*B*a**9*b*d**5*e**3/3 + 210*B*a**8*b**2*d**6*e**2 + 160*B*a**7*b**3*d**7*e + 35*B*a**6*b**4*d**8) + x**5*(14*A*a**10*d**4*e**4 + 112*A*a**9*b*d**5*e**3 + 252*A*a**8*b**2*d**6*e**2 + 192*A*a**7*b**3*d**7*e + 42*A*a**6*b**4*d**8 + 56*B*a**10*d**5*e**3/5 + 56*B*a**9*b*d**6*e**2 + 72*B*a**8*b**2*d**7*e + 24*B*a**7*b**3*d**8) + x**4*(14*A*a**10*d**5*e**3 + 70*A*a**9*b*d**6*e**2 + 90*A*a**8*b**2*d**7*e + 30*A*a**7*b**3*d**8 + 7*B*a**10*d**6*e**2 + 20*B*a**9*b*d**7*e + 45*B*a**8*b**2*d**8/4) + x**3*(28*A*a**10*d**6*e**2/3 + 80*A*a**9*b*d**7*e/3 + 15*A*a**8*b**2*d**8 + 8*B*a**10*d**7*e/3 + 10*B*a**9*b*d**8/3) + x**2*(4*A*a**10*d**7*e + 5*A*a**9*b*d**8 + B*a**10*d**8/2)","B",0
1081,1,2824,0,0.426280," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**7,x)","A a^{10} d^{7} x + \frac{B b^{10} e^{7} x^{19}}{19} + x^{18} \left(\frac{A b^{10} e^{7}}{18} + \frac{5 B a b^{9} e^{7}}{9} + \frac{7 B b^{10} d e^{6}}{18}\right) + x^{17} \left(\frac{10 A a b^{9} e^{7}}{17} + \frac{7 A b^{10} d e^{6}}{17} + \frac{45 B a^{2} b^{8} e^{7}}{17} + \frac{70 B a b^{9} d e^{6}}{17} + \frac{21 B b^{10} d^{2} e^{5}}{17}\right) + x^{16} \left(\frac{45 A a^{2} b^{8} e^{7}}{16} + \frac{35 A a b^{9} d e^{6}}{8} + \frac{21 A b^{10} d^{2} e^{5}}{16} + \frac{15 B a^{3} b^{7} e^{7}}{2} + \frac{315 B a^{2} b^{8} d e^{6}}{16} + \frac{105 B a b^{9} d^{2} e^{5}}{8} + \frac{35 B b^{10} d^{3} e^{4}}{16}\right) + x^{15} \left(8 A a^{3} b^{7} e^{7} + 21 A a^{2} b^{8} d e^{6} + 14 A a b^{9} d^{2} e^{5} + \frac{7 A b^{10} d^{3} e^{4}}{3} + 14 B a^{4} b^{6} e^{7} + 56 B a^{3} b^{7} d e^{6} + 63 B a^{2} b^{8} d^{2} e^{5} + \frac{70 B a b^{9} d^{3} e^{4}}{3} + \frac{7 B b^{10} d^{4} e^{3}}{3}\right) + x^{14} \left(15 A a^{4} b^{6} e^{7} + 60 A a^{3} b^{7} d e^{6} + \frac{135 A a^{2} b^{8} d^{2} e^{5}}{2} + 25 A a b^{9} d^{3} e^{4} + \frac{5 A b^{10} d^{4} e^{3}}{2} + 18 B a^{5} b^{5} e^{7} + 105 B a^{4} b^{6} d e^{6} + 180 B a^{3} b^{7} d^{2} e^{5} + \frac{225 B a^{2} b^{8} d^{3} e^{4}}{2} + 25 B a b^{9} d^{4} e^{3} + \frac{3 B b^{10} d^{5} e^{2}}{2}\right) + x^{13} \left(\frac{252 A a^{5} b^{5} e^{7}}{13} + \frac{1470 A a^{4} b^{6} d e^{6}}{13} + \frac{2520 A a^{3} b^{7} d^{2} e^{5}}{13} + \frac{1575 A a^{2} b^{8} d^{3} e^{4}}{13} + \frac{350 A a b^{9} d^{4} e^{3}}{13} + \frac{21 A b^{10} d^{5} e^{2}}{13} + \frac{210 B a^{6} b^{4} e^{7}}{13} + \frac{1764 B a^{5} b^{5} d e^{6}}{13} + \frac{4410 B a^{4} b^{6} d^{2} e^{5}}{13} + \frac{4200 B a^{3} b^{7} d^{3} e^{4}}{13} + \frac{1575 B a^{2} b^{8} d^{4} e^{3}}{13} + \frac{210 B a b^{9} d^{5} e^{2}}{13} + \frac{7 B b^{10} d^{6} e}{13}\right) + x^{12} \left(\frac{35 A a^{6} b^{4} e^{7}}{2} + 147 A a^{5} b^{5} d e^{6} + \frac{735 A a^{4} b^{6} d^{2} e^{5}}{2} + 350 A a^{3} b^{7} d^{3} e^{4} + \frac{525 A a^{2} b^{8} d^{4} e^{3}}{4} + \frac{35 A a b^{9} d^{5} e^{2}}{2} + \frac{7 A b^{10} d^{6} e}{12} + 10 B a^{7} b^{3} e^{7} + \frac{245 B a^{6} b^{4} d e^{6}}{2} + 441 B a^{5} b^{5} d^{2} e^{5} + \frac{1225 B a^{4} b^{6} d^{3} e^{4}}{2} + 350 B a^{3} b^{7} d^{4} e^{3} + \frac{315 B a^{2} b^{8} d^{5} e^{2}}{4} + \frac{35 B a b^{9} d^{6} e}{6} + \frac{B b^{10} d^{7}}{12}\right) + x^{11} \left(\frac{120 A a^{7} b^{3} e^{7}}{11} + \frac{1470 A a^{6} b^{4} d e^{6}}{11} + \frac{5292 A a^{5} b^{5} d^{2} e^{5}}{11} + \frac{7350 A a^{4} b^{6} d^{3} e^{4}}{11} + \frac{4200 A a^{3} b^{7} d^{4} e^{3}}{11} + \frac{945 A a^{2} b^{8} d^{5} e^{2}}{11} + \frac{70 A a b^{9} d^{6} e}{11} + \frac{A b^{10} d^{7}}{11} + \frac{45 B a^{8} b^{2} e^{7}}{11} + \frac{840 B a^{7} b^{3} d e^{6}}{11} + \frac{4410 B a^{6} b^{4} d^{2} e^{5}}{11} + \frac{8820 B a^{5} b^{5} d^{3} e^{4}}{11} + \frac{7350 B a^{4} b^{6} d^{4} e^{3}}{11} + \frac{2520 B a^{3} b^{7} d^{5} e^{2}}{11} + \frac{315 B a^{2} b^{8} d^{6} e}{11} + \frac{10 B a b^{9} d^{7}}{11}\right) + x^{10} \left(\frac{9 A a^{8} b^{2} e^{7}}{2} + 84 A a^{7} b^{3} d e^{6} + 441 A a^{6} b^{4} d^{2} e^{5} + 882 A a^{5} b^{5} d^{3} e^{4} + 735 A a^{4} b^{6} d^{4} e^{3} + 252 A a^{3} b^{7} d^{5} e^{2} + \frac{63 A a^{2} b^{8} d^{6} e}{2} + A a b^{9} d^{7} + B a^{9} b e^{7} + \frac{63 B a^{8} b^{2} d e^{6}}{2} + 252 B a^{7} b^{3} d^{2} e^{5} + 735 B a^{6} b^{4} d^{3} e^{4} + 882 B a^{5} b^{5} d^{4} e^{3} + 441 B a^{4} b^{6} d^{5} e^{2} + 84 B a^{3} b^{7} d^{6} e + \frac{9 B a^{2} b^{8} d^{7}}{2}\right) + x^{9} \left(\frac{10 A a^{9} b e^{7}}{9} + 35 A a^{8} b^{2} d e^{6} + 280 A a^{7} b^{3} d^{2} e^{5} + \frac{2450 A a^{6} b^{4} d^{3} e^{4}}{3} + 980 A a^{5} b^{5} d^{4} e^{3} + 490 A a^{4} b^{6} d^{5} e^{2} + \frac{280 A a^{3} b^{7} d^{6} e}{3} + 5 A a^{2} b^{8} d^{7} + \frac{B a^{10} e^{7}}{9} + \frac{70 B a^{9} b d e^{6}}{9} + 105 B a^{8} b^{2} d^{2} e^{5} + \frac{1400 B a^{7} b^{3} d^{3} e^{4}}{3} + \frac{2450 B a^{6} b^{4} d^{4} e^{3}}{3} + 588 B a^{5} b^{5} d^{5} e^{2} + \frac{490 B a^{4} b^{6} d^{6} e}{3} + \frac{40 B a^{3} b^{7} d^{7}}{3}\right) + x^{8} \left(\frac{A a^{10} e^{7}}{8} + \frac{35 A a^{9} b d e^{6}}{4} + \frac{945 A a^{8} b^{2} d^{2} e^{5}}{8} + 525 A a^{7} b^{3} d^{3} e^{4} + \frac{3675 A a^{6} b^{4} d^{4} e^{3}}{4} + \frac{1323 A a^{5} b^{5} d^{5} e^{2}}{2} + \frac{735 A a^{4} b^{6} d^{6} e}{4} + 15 A a^{3} b^{7} d^{7} + \frac{7 B a^{10} d e^{6}}{8} + \frac{105 B a^{9} b d^{2} e^{5}}{4} + \frac{1575 B a^{8} b^{2} d^{3} e^{4}}{8} + 525 B a^{7} b^{3} d^{4} e^{3} + \frac{2205 B a^{6} b^{4} d^{5} e^{2}}{4} + \frac{441 B a^{5} b^{5} d^{6} e}{2} + \frac{105 B a^{4} b^{6} d^{7}}{4}\right) + x^{7} \left(A a^{10} d e^{6} + 30 A a^{9} b d^{2} e^{5} + 225 A a^{8} b^{2} d^{3} e^{4} + 600 A a^{7} b^{3} d^{4} e^{3} + 630 A a^{6} b^{4} d^{5} e^{2} + 252 A a^{5} b^{5} d^{6} e + 30 A a^{4} b^{6} d^{7} + 3 B a^{10} d^{2} e^{5} + 50 B a^{9} b d^{3} e^{4} + 225 B a^{8} b^{2} d^{4} e^{3} + 360 B a^{7} b^{3} d^{5} e^{2} + 210 B a^{6} b^{4} d^{6} e + 36 B a^{5} b^{5} d^{7}\right) + x^{6} \left(\frac{7 A a^{10} d^{2} e^{5}}{2} + \frac{175 A a^{9} b d^{3} e^{4}}{3} + \frac{525 A a^{8} b^{2} d^{4} e^{3}}{2} + 420 A a^{7} b^{3} d^{5} e^{2} + 245 A a^{6} b^{4} d^{6} e + 42 A a^{5} b^{5} d^{7} + \frac{35 B a^{10} d^{3} e^{4}}{6} + \frac{175 B a^{9} b d^{4} e^{3}}{3} + \frac{315 B a^{8} b^{2} d^{5} e^{2}}{2} + 140 B a^{7} b^{3} d^{6} e + 35 B a^{6} b^{4} d^{7}\right) + x^{5} \left(7 A a^{10} d^{3} e^{4} + 70 A a^{9} b d^{4} e^{3} + 189 A a^{8} b^{2} d^{5} e^{2} + 168 A a^{7} b^{3} d^{6} e + 42 A a^{6} b^{4} d^{7} + 7 B a^{10} d^{4} e^{3} + 42 B a^{9} b d^{5} e^{2} + 63 B a^{8} b^{2} d^{6} e + 24 B a^{7} b^{3} d^{7}\right) + x^{4} \left(\frac{35 A a^{10} d^{4} e^{3}}{4} + \frac{105 A a^{9} b d^{5} e^{2}}{2} + \frac{315 A a^{8} b^{2} d^{6} e}{4} + 30 A a^{7} b^{3} d^{7} + \frac{21 B a^{10} d^{5} e^{2}}{4} + \frac{35 B a^{9} b d^{6} e}{2} + \frac{45 B a^{8} b^{2} d^{7}}{4}\right) + x^{3} \left(7 A a^{10} d^{5} e^{2} + \frac{70 A a^{9} b d^{6} e}{3} + 15 A a^{8} b^{2} d^{7} + \frac{7 B a^{10} d^{6} e}{3} + \frac{10 B a^{9} b d^{7}}{3}\right) + x^{2} \left(\frac{7 A a^{10} d^{6} e}{2} + 5 A a^{9} b d^{7} + \frac{B a^{10} d^{7}}{2}\right)"," ",0,"A*a**10*d**7*x + B*b**10*e**7*x**19/19 + x**18*(A*b**10*e**7/18 + 5*B*a*b**9*e**7/9 + 7*B*b**10*d*e**6/18) + x**17*(10*A*a*b**9*e**7/17 + 7*A*b**10*d*e**6/17 + 45*B*a**2*b**8*e**7/17 + 70*B*a*b**9*d*e**6/17 + 21*B*b**10*d**2*e**5/17) + x**16*(45*A*a**2*b**8*e**7/16 + 35*A*a*b**9*d*e**6/8 + 21*A*b**10*d**2*e**5/16 + 15*B*a**3*b**7*e**7/2 + 315*B*a**2*b**8*d*e**6/16 + 105*B*a*b**9*d**2*e**5/8 + 35*B*b**10*d**3*e**4/16) + x**15*(8*A*a**3*b**7*e**7 + 21*A*a**2*b**8*d*e**6 + 14*A*a*b**9*d**2*e**5 + 7*A*b**10*d**3*e**4/3 + 14*B*a**4*b**6*e**7 + 56*B*a**3*b**7*d*e**6 + 63*B*a**2*b**8*d**2*e**5 + 70*B*a*b**9*d**3*e**4/3 + 7*B*b**10*d**4*e**3/3) + x**14*(15*A*a**4*b**6*e**7 + 60*A*a**3*b**7*d*e**6 + 135*A*a**2*b**8*d**2*e**5/2 + 25*A*a*b**9*d**3*e**4 + 5*A*b**10*d**4*e**3/2 + 18*B*a**5*b**5*e**7 + 105*B*a**4*b**6*d*e**6 + 180*B*a**3*b**7*d**2*e**5 + 225*B*a**2*b**8*d**3*e**4/2 + 25*B*a*b**9*d**4*e**3 + 3*B*b**10*d**5*e**2/2) + x**13*(252*A*a**5*b**5*e**7/13 + 1470*A*a**4*b**6*d*e**6/13 + 2520*A*a**3*b**7*d**2*e**5/13 + 1575*A*a**2*b**8*d**3*e**4/13 + 350*A*a*b**9*d**4*e**3/13 + 21*A*b**10*d**5*e**2/13 + 210*B*a**6*b**4*e**7/13 + 1764*B*a**5*b**5*d*e**6/13 + 4410*B*a**4*b**6*d**2*e**5/13 + 4200*B*a**3*b**7*d**3*e**4/13 + 1575*B*a**2*b**8*d**4*e**3/13 + 210*B*a*b**9*d**5*e**2/13 + 7*B*b**10*d**6*e/13) + x**12*(35*A*a**6*b**4*e**7/2 + 147*A*a**5*b**5*d*e**6 + 735*A*a**4*b**6*d**2*e**5/2 + 350*A*a**3*b**7*d**3*e**4 + 525*A*a**2*b**8*d**4*e**3/4 + 35*A*a*b**9*d**5*e**2/2 + 7*A*b**10*d**6*e/12 + 10*B*a**7*b**3*e**7 + 245*B*a**6*b**4*d*e**6/2 + 441*B*a**5*b**5*d**2*e**5 + 1225*B*a**4*b**6*d**3*e**4/2 + 350*B*a**3*b**7*d**4*e**3 + 315*B*a**2*b**8*d**5*e**2/4 + 35*B*a*b**9*d**6*e/6 + B*b**10*d**7/12) + x**11*(120*A*a**7*b**3*e**7/11 + 1470*A*a**6*b**4*d*e**6/11 + 5292*A*a**5*b**5*d**2*e**5/11 + 7350*A*a**4*b**6*d**3*e**4/11 + 4200*A*a**3*b**7*d**4*e**3/11 + 945*A*a**2*b**8*d**5*e**2/11 + 70*A*a*b**9*d**6*e/11 + A*b**10*d**7/11 + 45*B*a**8*b**2*e**7/11 + 840*B*a**7*b**3*d*e**6/11 + 4410*B*a**6*b**4*d**2*e**5/11 + 8820*B*a**5*b**5*d**3*e**4/11 + 7350*B*a**4*b**6*d**4*e**3/11 + 2520*B*a**3*b**7*d**5*e**2/11 + 315*B*a**2*b**8*d**6*e/11 + 10*B*a*b**9*d**7/11) + x**10*(9*A*a**8*b**2*e**7/2 + 84*A*a**7*b**3*d*e**6 + 441*A*a**6*b**4*d**2*e**5 + 882*A*a**5*b**5*d**3*e**4 + 735*A*a**4*b**6*d**4*e**3 + 252*A*a**3*b**7*d**5*e**2 + 63*A*a**2*b**8*d**6*e/2 + A*a*b**9*d**7 + B*a**9*b*e**7 + 63*B*a**8*b**2*d*e**6/2 + 252*B*a**7*b**3*d**2*e**5 + 735*B*a**6*b**4*d**3*e**4 + 882*B*a**5*b**5*d**4*e**3 + 441*B*a**4*b**6*d**5*e**2 + 84*B*a**3*b**7*d**6*e + 9*B*a**2*b**8*d**7/2) + x**9*(10*A*a**9*b*e**7/9 + 35*A*a**8*b**2*d*e**6 + 280*A*a**7*b**3*d**2*e**5 + 2450*A*a**6*b**4*d**3*e**4/3 + 980*A*a**5*b**5*d**4*e**3 + 490*A*a**4*b**6*d**5*e**2 + 280*A*a**3*b**7*d**6*e/3 + 5*A*a**2*b**8*d**7 + B*a**10*e**7/9 + 70*B*a**9*b*d*e**6/9 + 105*B*a**8*b**2*d**2*e**5 + 1400*B*a**7*b**3*d**3*e**4/3 + 2450*B*a**6*b**4*d**4*e**3/3 + 588*B*a**5*b**5*d**5*e**2 + 490*B*a**4*b**6*d**6*e/3 + 40*B*a**3*b**7*d**7/3) + x**8*(A*a**10*e**7/8 + 35*A*a**9*b*d*e**6/4 + 945*A*a**8*b**2*d**2*e**5/8 + 525*A*a**7*b**3*d**3*e**4 + 3675*A*a**6*b**4*d**4*e**3/4 + 1323*A*a**5*b**5*d**5*e**2/2 + 735*A*a**4*b**6*d**6*e/4 + 15*A*a**3*b**7*d**7 + 7*B*a**10*d*e**6/8 + 105*B*a**9*b*d**2*e**5/4 + 1575*B*a**8*b**2*d**3*e**4/8 + 525*B*a**7*b**3*d**4*e**3 + 2205*B*a**6*b**4*d**5*e**2/4 + 441*B*a**5*b**5*d**6*e/2 + 105*B*a**4*b**6*d**7/4) + x**7*(A*a**10*d*e**6 + 30*A*a**9*b*d**2*e**5 + 225*A*a**8*b**2*d**3*e**4 + 600*A*a**7*b**3*d**4*e**3 + 630*A*a**6*b**4*d**5*e**2 + 252*A*a**5*b**5*d**6*e + 30*A*a**4*b**6*d**7 + 3*B*a**10*d**2*e**5 + 50*B*a**9*b*d**3*e**4 + 225*B*a**8*b**2*d**4*e**3 + 360*B*a**7*b**3*d**5*e**2 + 210*B*a**6*b**4*d**6*e + 36*B*a**5*b**5*d**7) + x**6*(7*A*a**10*d**2*e**5/2 + 175*A*a**9*b*d**3*e**4/3 + 525*A*a**8*b**2*d**4*e**3/2 + 420*A*a**7*b**3*d**5*e**2 + 245*A*a**6*b**4*d**6*e + 42*A*a**5*b**5*d**7 + 35*B*a**10*d**3*e**4/6 + 175*B*a**9*b*d**4*e**3/3 + 315*B*a**8*b**2*d**5*e**2/2 + 140*B*a**7*b**3*d**6*e + 35*B*a**6*b**4*d**7) + x**5*(7*A*a**10*d**3*e**4 + 70*A*a**9*b*d**4*e**3 + 189*A*a**8*b**2*d**5*e**2 + 168*A*a**7*b**3*d**6*e + 42*A*a**6*b**4*d**7 + 7*B*a**10*d**4*e**3 + 42*B*a**9*b*d**5*e**2 + 63*B*a**8*b**2*d**6*e + 24*B*a**7*b**3*d**7) + x**4*(35*A*a**10*d**4*e**3/4 + 105*A*a**9*b*d**5*e**2/2 + 315*A*a**8*b**2*d**6*e/4 + 30*A*a**7*b**3*d**7 + 21*B*a**10*d**5*e**2/4 + 35*B*a**9*b*d**6*e/2 + 45*B*a**8*b**2*d**7/4) + x**3*(7*A*a**10*d**5*e**2 + 70*A*a**9*b*d**6*e/3 + 15*A*a**8*b**2*d**7 + 7*B*a**10*d**6*e/3 + 10*B*a**9*b*d**7/3) + x**2*(7*A*a**10*d**6*e/2 + 5*A*a**9*b*d**7 + B*a**10*d**7/2)","B",0
1082,1,2424,0,0.379471," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**6,x)","A a^{10} d^{6} x + \frac{B b^{10} e^{6} x^{18}}{18} + x^{17} \left(\frac{A b^{10} e^{6}}{17} + \frac{10 B a b^{9} e^{6}}{17} + \frac{6 B b^{10} d e^{5}}{17}\right) + x^{16} \left(\frac{5 A a b^{9} e^{6}}{8} + \frac{3 A b^{10} d e^{5}}{8} + \frac{45 B a^{2} b^{8} e^{6}}{16} + \frac{15 B a b^{9} d e^{5}}{4} + \frac{15 B b^{10} d^{2} e^{4}}{16}\right) + x^{15} \left(3 A a^{2} b^{8} e^{6} + 4 A a b^{9} d e^{5} + A b^{10} d^{2} e^{4} + 8 B a^{3} b^{7} e^{6} + 18 B a^{2} b^{8} d e^{5} + 10 B a b^{9} d^{2} e^{4} + \frac{4 B b^{10} d^{3} e^{3}}{3}\right) + x^{14} \left(\frac{60 A a^{3} b^{7} e^{6}}{7} + \frac{135 A a^{2} b^{8} d e^{5}}{7} + \frac{75 A a b^{9} d^{2} e^{4}}{7} + \frac{10 A b^{10} d^{3} e^{3}}{7} + 15 B a^{4} b^{6} e^{6} + \frac{360 B a^{3} b^{7} d e^{5}}{7} + \frac{675 B a^{2} b^{8} d^{2} e^{4}}{14} + \frac{100 B a b^{9} d^{3} e^{3}}{7} + \frac{15 B b^{10} d^{4} e^{2}}{14}\right) + x^{13} \left(\frac{210 A a^{4} b^{6} e^{6}}{13} + \frac{720 A a^{3} b^{7} d e^{5}}{13} + \frac{675 A a^{2} b^{8} d^{2} e^{4}}{13} + \frac{200 A a b^{9} d^{3} e^{3}}{13} + \frac{15 A b^{10} d^{4} e^{2}}{13} + \frac{252 B a^{5} b^{5} e^{6}}{13} + \frac{1260 B a^{4} b^{6} d e^{5}}{13} + \frac{1800 B a^{3} b^{7} d^{2} e^{4}}{13} + \frac{900 B a^{2} b^{8} d^{3} e^{3}}{13} + \frac{150 B a b^{9} d^{4} e^{2}}{13} + \frac{6 B b^{10} d^{5} e}{13}\right) + x^{12} \left(21 A a^{5} b^{5} e^{6} + 105 A a^{4} b^{6} d e^{5} + 150 A a^{3} b^{7} d^{2} e^{4} + 75 A a^{2} b^{8} d^{3} e^{3} + \frac{25 A a b^{9} d^{4} e^{2}}{2} + \frac{A b^{10} d^{5} e}{2} + \frac{35 B a^{6} b^{4} e^{6}}{2} + 126 B a^{5} b^{5} d e^{5} + \frac{525 B a^{4} b^{6} d^{2} e^{4}}{2} + 200 B a^{3} b^{7} d^{3} e^{3} + \frac{225 B a^{2} b^{8} d^{4} e^{2}}{4} + 5 B a b^{9} d^{5} e + \frac{B b^{10} d^{6}}{12}\right) + x^{11} \left(\frac{210 A a^{6} b^{4} e^{6}}{11} + \frac{1512 A a^{5} b^{5} d e^{5}}{11} + \frac{3150 A a^{4} b^{6} d^{2} e^{4}}{11} + \frac{2400 A a^{3} b^{7} d^{3} e^{3}}{11} + \frac{675 A a^{2} b^{8} d^{4} e^{2}}{11} + \frac{60 A a b^{9} d^{5} e}{11} + \frac{A b^{10} d^{6}}{11} + \frac{120 B a^{7} b^{3} e^{6}}{11} + \frac{1260 B a^{6} b^{4} d e^{5}}{11} + \frac{3780 B a^{5} b^{5} d^{2} e^{4}}{11} + \frac{4200 B a^{4} b^{6} d^{3} e^{3}}{11} + \frac{1800 B a^{3} b^{7} d^{4} e^{2}}{11} + \frac{270 B a^{2} b^{8} d^{5} e}{11} + \frac{10 B a b^{9} d^{6}}{11}\right) + x^{10} \left(12 A a^{7} b^{3} e^{6} + 126 A a^{6} b^{4} d e^{5} + 378 A a^{5} b^{5} d^{2} e^{4} + 420 A a^{4} b^{6} d^{3} e^{3} + 180 A a^{3} b^{7} d^{4} e^{2} + 27 A a^{2} b^{8} d^{5} e + A a b^{9} d^{6} + \frac{9 B a^{8} b^{2} e^{6}}{2} + 72 B a^{7} b^{3} d e^{5} + 315 B a^{6} b^{4} d^{2} e^{4} + 504 B a^{5} b^{5} d^{3} e^{3} + 315 B a^{4} b^{6} d^{4} e^{2} + 72 B a^{3} b^{7} d^{5} e + \frac{9 B a^{2} b^{8} d^{6}}{2}\right) + x^{9} \left(5 A a^{8} b^{2} e^{6} + 80 A a^{7} b^{3} d e^{5} + 350 A a^{6} b^{4} d^{2} e^{4} + 560 A a^{5} b^{5} d^{3} e^{3} + 350 A a^{4} b^{6} d^{4} e^{2} + 80 A a^{3} b^{7} d^{5} e + 5 A a^{2} b^{8} d^{6} + \frac{10 B a^{9} b e^{6}}{9} + 30 B a^{8} b^{2} d e^{5} + 200 B a^{7} b^{3} d^{2} e^{4} + \frac{1400 B a^{6} b^{4} d^{3} e^{3}}{3} + 420 B a^{5} b^{5} d^{4} e^{2} + 140 B a^{4} b^{6} d^{5} e + \frac{40 B a^{3} b^{7} d^{6}}{3}\right) + x^{8} \left(\frac{5 A a^{9} b e^{6}}{4} + \frac{135 A a^{8} b^{2} d e^{5}}{4} + 225 A a^{7} b^{3} d^{2} e^{4} + 525 A a^{6} b^{4} d^{3} e^{3} + \frac{945 A a^{5} b^{5} d^{4} e^{2}}{2} + \frac{315 A a^{4} b^{6} d^{5} e}{2} + 15 A a^{3} b^{7} d^{6} + \frac{B a^{10} e^{6}}{8} + \frac{15 B a^{9} b d e^{5}}{2} + \frac{675 B a^{8} b^{2} d^{2} e^{4}}{8} + 300 B a^{7} b^{3} d^{3} e^{3} + \frac{1575 B a^{6} b^{4} d^{4} e^{2}}{4} + 189 B a^{5} b^{5} d^{5} e + \frac{105 B a^{4} b^{6} d^{6}}{4}\right) + x^{7} \left(\frac{A a^{10} e^{6}}{7} + \frac{60 A a^{9} b d e^{5}}{7} + \frac{675 A a^{8} b^{2} d^{2} e^{4}}{7} + \frac{2400 A a^{7} b^{3} d^{3} e^{3}}{7} + 450 A a^{6} b^{4} d^{4} e^{2} + 216 A a^{5} b^{5} d^{5} e + 30 A a^{4} b^{6} d^{6} + \frac{6 B a^{10} d e^{5}}{7} + \frac{150 B a^{9} b d^{2} e^{4}}{7} + \frac{900 B a^{8} b^{2} d^{3} e^{3}}{7} + \frac{1800 B a^{7} b^{3} d^{4} e^{2}}{7} + 180 B a^{6} b^{4} d^{5} e + 36 B a^{5} b^{5} d^{6}\right) + x^{6} \left(A a^{10} d e^{5} + 25 A a^{9} b d^{2} e^{4} + 150 A a^{8} b^{2} d^{3} e^{3} + 300 A a^{7} b^{3} d^{4} e^{2} + 210 A a^{6} b^{4} d^{5} e + 42 A a^{5} b^{5} d^{6} + \frac{5 B a^{10} d^{2} e^{4}}{2} + \frac{100 B a^{9} b d^{3} e^{3}}{3} + \frac{225 B a^{8} b^{2} d^{4} e^{2}}{2} + 120 B a^{7} b^{3} d^{5} e + 35 B a^{6} b^{4} d^{6}\right) + x^{5} \left(3 A a^{10} d^{2} e^{4} + 40 A a^{9} b d^{3} e^{3} + 135 A a^{8} b^{2} d^{4} e^{2} + 144 A a^{7} b^{3} d^{5} e + 42 A a^{6} b^{4} d^{6} + 4 B a^{10} d^{3} e^{3} + 30 B a^{9} b d^{4} e^{2} + 54 B a^{8} b^{2} d^{5} e + 24 B a^{7} b^{3} d^{6}\right) + x^{4} \left(5 A a^{10} d^{3} e^{3} + \frac{75 A a^{9} b d^{4} e^{2}}{2} + \frac{135 A a^{8} b^{2} d^{5} e}{2} + 30 A a^{7} b^{3} d^{6} + \frac{15 B a^{10} d^{4} e^{2}}{4} + 15 B a^{9} b d^{5} e + \frac{45 B a^{8} b^{2} d^{6}}{4}\right) + x^{3} \left(5 A a^{10} d^{4} e^{2} + 20 A a^{9} b d^{5} e + 15 A a^{8} b^{2} d^{6} + 2 B a^{10} d^{5} e + \frac{10 B a^{9} b d^{6}}{3}\right) + x^{2} \left(3 A a^{10} d^{5} e + 5 A a^{9} b d^{6} + \frac{B a^{10} d^{6}}{2}\right)"," ",0,"A*a**10*d**6*x + B*b**10*e**6*x**18/18 + x**17*(A*b**10*e**6/17 + 10*B*a*b**9*e**6/17 + 6*B*b**10*d*e**5/17) + x**16*(5*A*a*b**9*e**6/8 + 3*A*b**10*d*e**5/8 + 45*B*a**2*b**8*e**6/16 + 15*B*a*b**9*d*e**5/4 + 15*B*b**10*d**2*e**4/16) + x**15*(3*A*a**2*b**8*e**6 + 4*A*a*b**9*d*e**5 + A*b**10*d**2*e**4 + 8*B*a**3*b**7*e**6 + 18*B*a**2*b**8*d*e**5 + 10*B*a*b**9*d**2*e**4 + 4*B*b**10*d**3*e**3/3) + x**14*(60*A*a**3*b**7*e**6/7 + 135*A*a**2*b**8*d*e**5/7 + 75*A*a*b**9*d**2*e**4/7 + 10*A*b**10*d**3*e**3/7 + 15*B*a**4*b**6*e**6 + 360*B*a**3*b**7*d*e**5/7 + 675*B*a**2*b**8*d**2*e**4/14 + 100*B*a*b**9*d**3*e**3/7 + 15*B*b**10*d**4*e**2/14) + x**13*(210*A*a**4*b**6*e**6/13 + 720*A*a**3*b**7*d*e**5/13 + 675*A*a**2*b**8*d**2*e**4/13 + 200*A*a*b**9*d**3*e**3/13 + 15*A*b**10*d**4*e**2/13 + 252*B*a**5*b**5*e**6/13 + 1260*B*a**4*b**6*d*e**5/13 + 1800*B*a**3*b**7*d**2*e**4/13 + 900*B*a**2*b**8*d**3*e**3/13 + 150*B*a*b**9*d**4*e**2/13 + 6*B*b**10*d**5*e/13) + x**12*(21*A*a**5*b**5*e**6 + 105*A*a**4*b**6*d*e**5 + 150*A*a**3*b**7*d**2*e**4 + 75*A*a**2*b**8*d**3*e**3 + 25*A*a*b**9*d**4*e**2/2 + A*b**10*d**5*e/2 + 35*B*a**6*b**4*e**6/2 + 126*B*a**5*b**5*d*e**5 + 525*B*a**4*b**6*d**2*e**4/2 + 200*B*a**3*b**7*d**3*e**3 + 225*B*a**2*b**8*d**4*e**2/4 + 5*B*a*b**9*d**5*e + B*b**10*d**6/12) + x**11*(210*A*a**6*b**4*e**6/11 + 1512*A*a**5*b**5*d*e**5/11 + 3150*A*a**4*b**6*d**2*e**4/11 + 2400*A*a**3*b**7*d**3*e**3/11 + 675*A*a**2*b**8*d**4*e**2/11 + 60*A*a*b**9*d**5*e/11 + A*b**10*d**6/11 + 120*B*a**7*b**3*e**6/11 + 1260*B*a**6*b**4*d*e**5/11 + 3780*B*a**5*b**5*d**2*e**4/11 + 4200*B*a**4*b**6*d**3*e**3/11 + 1800*B*a**3*b**7*d**4*e**2/11 + 270*B*a**2*b**8*d**5*e/11 + 10*B*a*b**9*d**6/11) + x**10*(12*A*a**7*b**3*e**6 + 126*A*a**6*b**4*d*e**5 + 378*A*a**5*b**5*d**2*e**4 + 420*A*a**4*b**6*d**3*e**3 + 180*A*a**3*b**7*d**4*e**2 + 27*A*a**2*b**8*d**5*e + A*a*b**9*d**6 + 9*B*a**8*b**2*e**6/2 + 72*B*a**7*b**3*d*e**5 + 315*B*a**6*b**4*d**2*e**4 + 504*B*a**5*b**5*d**3*e**3 + 315*B*a**4*b**6*d**4*e**2 + 72*B*a**3*b**7*d**5*e + 9*B*a**2*b**8*d**6/2) + x**9*(5*A*a**8*b**2*e**6 + 80*A*a**7*b**3*d*e**5 + 350*A*a**6*b**4*d**2*e**4 + 560*A*a**5*b**5*d**3*e**3 + 350*A*a**4*b**6*d**4*e**2 + 80*A*a**3*b**7*d**5*e + 5*A*a**2*b**8*d**6 + 10*B*a**9*b*e**6/9 + 30*B*a**8*b**2*d*e**5 + 200*B*a**7*b**3*d**2*e**4 + 1400*B*a**6*b**4*d**3*e**3/3 + 420*B*a**5*b**5*d**4*e**2 + 140*B*a**4*b**6*d**5*e + 40*B*a**3*b**7*d**6/3) + x**8*(5*A*a**9*b*e**6/4 + 135*A*a**8*b**2*d*e**5/4 + 225*A*a**7*b**3*d**2*e**4 + 525*A*a**6*b**4*d**3*e**3 + 945*A*a**5*b**5*d**4*e**2/2 + 315*A*a**4*b**6*d**5*e/2 + 15*A*a**3*b**7*d**6 + B*a**10*e**6/8 + 15*B*a**9*b*d*e**5/2 + 675*B*a**8*b**2*d**2*e**4/8 + 300*B*a**7*b**3*d**3*e**3 + 1575*B*a**6*b**4*d**4*e**2/4 + 189*B*a**5*b**5*d**5*e + 105*B*a**4*b**6*d**6/4) + x**7*(A*a**10*e**6/7 + 60*A*a**9*b*d*e**5/7 + 675*A*a**8*b**2*d**2*e**4/7 + 2400*A*a**7*b**3*d**3*e**3/7 + 450*A*a**6*b**4*d**4*e**2 + 216*A*a**5*b**5*d**5*e + 30*A*a**4*b**6*d**6 + 6*B*a**10*d*e**5/7 + 150*B*a**9*b*d**2*e**4/7 + 900*B*a**8*b**2*d**3*e**3/7 + 1800*B*a**7*b**3*d**4*e**2/7 + 180*B*a**6*b**4*d**5*e + 36*B*a**5*b**5*d**6) + x**6*(A*a**10*d*e**5 + 25*A*a**9*b*d**2*e**4 + 150*A*a**8*b**2*d**3*e**3 + 300*A*a**7*b**3*d**4*e**2 + 210*A*a**6*b**4*d**5*e + 42*A*a**5*b**5*d**6 + 5*B*a**10*d**2*e**4/2 + 100*B*a**9*b*d**3*e**3/3 + 225*B*a**8*b**2*d**4*e**2/2 + 120*B*a**7*b**3*d**5*e + 35*B*a**6*b**4*d**6) + x**5*(3*A*a**10*d**2*e**4 + 40*A*a**9*b*d**3*e**3 + 135*A*a**8*b**2*d**4*e**2 + 144*A*a**7*b**3*d**5*e + 42*A*a**6*b**4*d**6 + 4*B*a**10*d**3*e**3 + 30*B*a**9*b*d**4*e**2 + 54*B*a**8*b**2*d**5*e + 24*B*a**7*b**3*d**6) + x**4*(5*A*a**10*d**3*e**3 + 75*A*a**9*b*d**4*e**2/2 + 135*A*a**8*b**2*d**5*e/2 + 30*A*a**7*b**3*d**6 + 15*B*a**10*d**4*e**2/4 + 15*B*a**9*b*d**5*e + 45*B*a**8*b**2*d**6/4) + x**3*(5*A*a**10*d**4*e**2 + 20*A*a**9*b*d**5*e + 15*A*a**8*b**2*d**6 + 2*B*a**10*d**5*e + 10*B*a**9*b*d**6/3) + x**2*(3*A*a**10*d**5*e + 5*A*a**9*b*d**6 + B*a**10*d**6/2)","B",0
1083,1,2076,0,0.339658," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**5,x)","A a^{10} d^{5} x + \frac{B b^{10} e^{5} x^{17}}{17} + x^{16} \left(\frac{A b^{10} e^{5}}{16} + \frac{5 B a b^{9} e^{5}}{8} + \frac{5 B b^{10} d e^{4}}{16}\right) + x^{15} \left(\frac{2 A a b^{9} e^{5}}{3} + \frac{A b^{10} d e^{4}}{3} + 3 B a^{2} b^{8} e^{5} + \frac{10 B a b^{9} d e^{4}}{3} + \frac{2 B b^{10} d^{2} e^{3}}{3}\right) + x^{14} \left(\frac{45 A a^{2} b^{8} e^{5}}{14} + \frac{25 A a b^{9} d e^{4}}{7} + \frac{5 A b^{10} d^{2} e^{3}}{7} + \frac{60 B a^{3} b^{7} e^{5}}{7} + \frac{225 B a^{2} b^{8} d e^{4}}{14} + \frac{50 B a b^{9} d^{2} e^{3}}{7} + \frac{5 B b^{10} d^{3} e^{2}}{7}\right) + x^{13} \left(\frac{120 A a^{3} b^{7} e^{5}}{13} + \frac{225 A a^{2} b^{8} d e^{4}}{13} + \frac{100 A a b^{9} d^{2} e^{3}}{13} + \frac{10 A b^{10} d^{3} e^{2}}{13} + \frac{210 B a^{4} b^{6} e^{5}}{13} + \frac{600 B a^{3} b^{7} d e^{4}}{13} + \frac{450 B a^{2} b^{8} d^{2} e^{3}}{13} + \frac{100 B a b^{9} d^{3} e^{2}}{13} + \frac{5 B b^{10} d^{4} e}{13}\right) + x^{12} \left(\frac{35 A a^{4} b^{6} e^{5}}{2} + 50 A a^{3} b^{7} d e^{4} + \frac{75 A a^{2} b^{8} d^{2} e^{3}}{2} + \frac{25 A a b^{9} d^{3} e^{2}}{3} + \frac{5 A b^{10} d^{4} e}{12} + 21 B a^{5} b^{5} e^{5} + \frac{175 B a^{4} b^{6} d e^{4}}{2} + 100 B a^{3} b^{7} d^{2} e^{3} + \frac{75 B a^{2} b^{8} d^{3} e^{2}}{2} + \frac{25 B a b^{9} d^{4} e}{6} + \frac{B b^{10} d^{5}}{12}\right) + x^{11} \left(\frac{252 A a^{5} b^{5} e^{5}}{11} + \frac{1050 A a^{4} b^{6} d e^{4}}{11} + \frac{1200 A a^{3} b^{7} d^{2} e^{3}}{11} + \frac{450 A a^{2} b^{8} d^{3} e^{2}}{11} + \frac{50 A a b^{9} d^{4} e}{11} + \frac{A b^{10} d^{5}}{11} + \frac{210 B a^{6} b^{4} e^{5}}{11} + \frac{1260 B a^{5} b^{5} d e^{4}}{11} + \frac{2100 B a^{4} b^{6} d^{2} e^{3}}{11} + \frac{1200 B a^{3} b^{7} d^{3} e^{2}}{11} + \frac{225 B a^{2} b^{8} d^{4} e}{11} + \frac{10 B a b^{9} d^{5}}{11}\right) + x^{10} \left(21 A a^{6} b^{4} e^{5} + 126 A a^{5} b^{5} d e^{4} + 210 A a^{4} b^{6} d^{2} e^{3} + 120 A a^{3} b^{7} d^{3} e^{2} + \frac{45 A a^{2} b^{8} d^{4} e}{2} + A a b^{9} d^{5} + 12 B a^{7} b^{3} e^{5} + 105 B a^{6} b^{4} d e^{4} + 252 B a^{5} b^{5} d^{2} e^{3} + 210 B a^{4} b^{6} d^{3} e^{2} + 60 B a^{3} b^{7} d^{4} e + \frac{9 B a^{2} b^{8} d^{5}}{2}\right) + x^{9} \left(\frac{40 A a^{7} b^{3} e^{5}}{3} + \frac{350 A a^{6} b^{4} d e^{4}}{3} + 280 A a^{5} b^{5} d^{2} e^{3} + \frac{700 A a^{4} b^{6} d^{3} e^{2}}{3} + \frac{200 A a^{3} b^{7} d^{4} e}{3} + 5 A a^{2} b^{8} d^{5} + 5 B a^{8} b^{2} e^{5} + \frac{200 B a^{7} b^{3} d e^{4}}{3} + \frac{700 B a^{6} b^{4} d^{2} e^{3}}{3} + 280 B a^{5} b^{5} d^{3} e^{2} + \frac{350 B a^{4} b^{6} d^{4} e}{3} + \frac{40 B a^{3} b^{7} d^{5}}{3}\right) + x^{8} \left(\frac{45 A a^{8} b^{2} e^{5}}{8} + 75 A a^{7} b^{3} d e^{4} + \frac{525 A a^{6} b^{4} d^{2} e^{3}}{2} + 315 A a^{5} b^{5} d^{3} e^{2} + \frac{525 A a^{4} b^{6} d^{4} e}{4} + 15 A a^{3} b^{7} d^{5} + \frac{5 B a^{9} b e^{5}}{4} + \frac{225 B a^{8} b^{2} d e^{4}}{8} + 150 B a^{7} b^{3} d^{2} e^{3} + \frac{525 B a^{6} b^{4} d^{3} e^{2}}{2} + \frac{315 B a^{5} b^{5} d^{4} e}{2} + \frac{105 B a^{4} b^{6} d^{5}}{4}\right) + x^{7} \left(\frac{10 A a^{9} b e^{5}}{7} + \frac{225 A a^{8} b^{2} d e^{4}}{7} + \frac{1200 A a^{7} b^{3} d^{2} e^{3}}{7} + 300 A a^{6} b^{4} d^{3} e^{2} + 180 A a^{5} b^{5} d^{4} e + 30 A a^{4} b^{6} d^{5} + \frac{B a^{10} e^{5}}{7} + \frac{50 B a^{9} b d e^{4}}{7} + \frac{450 B a^{8} b^{2} d^{2} e^{3}}{7} + \frac{1200 B a^{7} b^{3} d^{3} e^{2}}{7} + 150 B a^{6} b^{4} d^{4} e + 36 B a^{5} b^{5} d^{5}\right) + x^{6} \left(\frac{A a^{10} e^{5}}{6} + \frac{25 A a^{9} b d e^{4}}{3} + 75 A a^{8} b^{2} d^{2} e^{3} + 200 A a^{7} b^{3} d^{3} e^{2} + 175 A a^{6} b^{4} d^{4} e + 42 A a^{5} b^{5} d^{5} + \frac{5 B a^{10} d e^{4}}{6} + \frac{50 B a^{9} b d^{2} e^{3}}{3} + 75 B a^{8} b^{2} d^{3} e^{2} + 100 B a^{7} b^{3} d^{4} e + 35 B a^{6} b^{4} d^{5}\right) + x^{5} \left(A a^{10} d e^{4} + 20 A a^{9} b d^{2} e^{3} + 90 A a^{8} b^{2} d^{3} e^{2} + 120 A a^{7} b^{3} d^{4} e + 42 A a^{6} b^{4} d^{5} + 2 B a^{10} d^{2} e^{3} + 20 B a^{9} b d^{3} e^{2} + 45 B a^{8} b^{2} d^{4} e + 24 B a^{7} b^{3} d^{5}\right) + x^{4} \left(\frac{5 A a^{10} d^{2} e^{3}}{2} + 25 A a^{9} b d^{3} e^{2} + \frac{225 A a^{8} b^{2} d^{4} e}{4} + 30 A a^{7} b^{3} d^{5} + \frac{5 B a^{10} d^{3} e^{2}}{2} + \frac{25 B a^{9} b d^{4} e}{2} + \frac{45 B a^{8} b^{2} d^{5}}{4}\right) + x^{3} \left(\frac{10 A a^{10} d^{3} e^{2}}{3} + \frac{50 A a^{9} b d^{4} e}{3} + 15 A a^{8} b^{2} d^{5} + \frac{5 B a^{10} d^{4} e}{3} + \frac{10 B a^{9} b d^{5}}{3}\right) + x^{2} \left(\frac{5 A a^{10} d^{4} e}{2} + 5 A a^{9} b d^{5} + \frac{B a^{10} d^{5}}{2}\right)"," ",0,"A*a**10*d**5*x + B*b**10*e**5*x**17/17 + x**16*(A*b**10*e**5/16 + 5*B*a*b**9*e**5/8 + 5*B*b**10*d*e**4/16) + x**15*(2*A*a*b**9*e**5/3 + A*b**10*d*e**4/3 + 3*B*a**2*b**8*e**5 + 10*B*a*b**9*d*e**4/3 + 2*B*b**10*d**2*e**3/3) + x**14*(45*A*a**2*b**8*e**5/14 + 25*A*a*b**9*d*e**4/7 + 5*A*b**10*d**2*e**3/7 + 60*B*a**3*b**7*e**5/7 + 225*B*a**2*b**8*d*e**4/14 + 50*B*a*b**9*d**2*e**3/7 + 5*B*b**10*d**3*e**2/7) + x**13*(120*A*a**3*b**7*e**5/13 + 225*A*a**2*b**8*d*e**4/13 + 100*A*a*b**9*d**2*e**3/13 + 10*A*b**10*d**3*e**2/13 + 210*B*a**4*b**6*e**5/13 + 600*B*a**3*b**7*d*e**4/13 + 450*B*a**2*b**8*d**2*e**3/13 + 100*B*a*b**9*d**3*e**2/13 + 5*B*b**10*d**4*e/13) + x**12*(35*A*a**4*b**6*e**5/2 + 50*A*a**3*b**7*d*e**4 + 75*A*a**2*b**8*d**2*e**3/2 + 25*A*a*b**9*d**3*e**2/3 + 5*A*b**10*d**4*e/12 + 21*B*a**5*b**5*e**5 + 175*B*a**4*b**6*d*e**4/2 + 100*B*a**3*b**7*d**2*e**3 + 75*B*a**2*b**8*d**3*e**2/2 + 25*B*a*b**9*d**4*e/6 + B*b**10*d**5/12) + x**11*(252*A*a**5*b**5*e**5/11 + 1050*A*a**4*b**6*d*e**4/11 + 1200*A*a**3*b**7*d**2*e**3/11 + 450*A*a**2*b**8*d**3*e**2/11 + 50*A*a*b**9*d**4*e/11 + A*b**10*d**5/11 + 210*B*a**6*b**4*e**5/11 + 1260*B*a**5*b**5*d*e**4/11 + 2100*B*a**4*b**6*d**2*e**3/11 + 1200*B*a**3*b**7*d**3*e**2/11 + 225*B*a**2*b**8*d**4*e/11 + 10*B*a*b**9*d**5/11) + x**10*(21*A*a**6*b**4*e**5 + 126*A*a**5*b**5*d*e**4 + 210*A*a**4*b**6*d**2*e**3 + 120*A*a**3*b**7*d**3*e**2 + 45*A*a**2*b**8*d**4*e/2 + A*a*b**9*d**5 + 12*B*a**7*b**3*e**5 + 105*B*a**6*b**4*d*e**4 + 252*B*a**5*b**5*d**2*e**3 + 210*B*a**4*b**6*d**3*e**2 + 60*B*a**3*b**7*d**4*e + 9*B*a**2*b**8*d**5/2) + x**9*(40*A*a**7*b**3*e**5/3 + 350*A*a**6*b**4*d*e**4/3 + 280*A*a**5*b**5*d**2*e**3 + 700*A*a**4*b**6*d**3*e**2/3 + 200*A*a**3*b**7*d**4*e/3 + 5*A*a**2*b**8*d**5 + 5*B*a**8*b**2*e**5 + 200*B*a**7*b**3*d*e**4/3 + 700*B*a**6*b**4*d**2*e**3/3 + 280*B*a**5*b**5*d**3*e**2 + 350*B*a**4*b**6*d**4*e/3 + 40*B*a**3*b**7*d**5/3) + x**8*(45*A*a**8*b**2*e**5/8 + 75*A*a**7*b**3*d*e**4 + 525*A*a**6*b**4*d**2*e**3/2 + 315*A*a**5*b**5*d**3*e**2 + 525*A*a**4*b**6*d**4*e/4 + 15*A*a**3*b**7*d**5 + 5*B*a**9*b*e**5/4 + 225*B*a**8*b**2*d*e**4/8 + 150*B*a**7*b**3*d**2*e**3 + 525*B*a**6*b**4*d**3*e**2/2 + 315*B*a**5*b**5*d**4*e/2 + 105*B*a**4*b**6*d**5/4) + x**7*(10*A*a**9*b*e**5/7 + 225*A*a**8*b**2*d*e**4/7 + 1200*A*a**7*b**3*d**2*e**3/7 + 300*A*a**6*b**4*d**3*e**2 + 180*A*a**5*b**5*d**4*e + 30*A*a**4*b**6*d**5 + B*a**10*e**5/7 + 50*B*a**9*b*d*e**4/7 + 450*B*a**8*b**2*d**2*e**3/7 + 1200*B*a**7*b**3*d**3*e**2/7 + 150*B*a**6*b**4*d**4*e + 36*B*a**5*b**5*d**5) + x**6*(A*a**10*e**5/6 + 25*A*a**9*b*d*e**4/3 + 75*A*a**8*b**2*d**2*e**3 + 200*A*a**7*b**3*d**3*e**2 + 175*A*a**6*b**4*d**4*e + 42*A*a**5*b**5*d**5 + 5*B*a**10*d*e**4/6 + 50*B*a**9*b*d**2*e**3/3 + 75*B*a**8*b**2*d**3*e**2 + 100*B*a**7*b**3*d**4*e + 35*B*a**6*b**4*d**5) + x**5*(A*a**10*d*e**4 + 20*A*a**9*b*d**2*e**3 + 90*A*a**8*b**2*d**3*e**2 + 120*A*a**7*b**3*d**4*e + 42*A*a**6*b**4*d**5 + 2*B*a**10*d**2*e**3 + 20*B*a**9*b*d**3*e**2 + 45*B*a**8*b**2*d**4*e + 24*B*a**7*b**3*d**5) + x**4*(5*A*a**10*d**2*e**3/2 + 25*A*a**9*b*d**3*e**2 + 225*A*a**8*b**2*d**4*e/4 + 30*A*a**7*b**3*d**5 + 5*B*a**10*d**3*e**2/2 + 25*B*a**9*b*d**4*e/2 + 45*B*a**8*b**2*d**5/4) + x**3*(10*A*a**10*d**3*e**2/3 + 50*A*a**9*b*d**4*e/3 + 15*A*a**8*b**2*d**5 + 5*B*a**10*d**4*e/3 + 10*B*a**9*b*d**5/3) + x**2*(5*A*a**10*d**4*e/2 + 5*A*a**9*b*d**5 + B*a**10*d**5/2)","B",0
1084,1,1676,0,0.286482," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**4,x)","A a^{10} d^{4} x + \frac{B b^{10} e^{4} x^{16}}{16} + x^{15} \left(\frac{A b^{10} e^{4}}{15} + \frac{2 B a b^{9} e^{4}}{3} + \frac{4 B b^{10} d e^{3}}{15}\right) + x^{14} \left(\frac{5 A a b^{9} e^{4}}{7} + \frac{2 A b^{10} d e^{3}}{7} + \frac{45 B a^{2} b^{8} e^{4}}{14} + \frac{20 B a b^{9} d e^{3}}{7} + \frac{3 B b^{10} d^{2} e^{2}}{7}\right) + x^{13} \left(\frac{45 A a^{2} b^{8} e^{4}}{13} + \frac{40 A a b^{9} d e^{3}}{13} + \frac{6 A b^{10} d^{2} e^{2}}{13} + \frac{120 B a^{3} b^{7} e^{4}}{13} + \frac{180 B a^{2} b^{8} d e^{3}}{13} + \frac{60 B a b^{9} d^{2} e^{2}}{13} + \frac{4 B b^{10} d^{3} e}{13}\right) + x^{12} \left(10 A a^{3} b^{7} e^{4} + 15 A a^{2} b^{8} d e^{3} + 5 A a b^{9} d^{2} e^{2} + \frac{A b^{10} d^{3} e}{3} + \frac{35 B a^{4} b^{6} e^{4}}{2} + 40 B a^{3} b^{7} d e^{3} + \frac{45 B a^{2} b^{8} d^{2} e^{2}}{2} + \frac{10 B a b^{9} d^{3} e}{3} + \frac{B b^{10} d^{4}}{12}\right) + x^{11} \left(\frac{210 A a^{4} b^{6} e^{4}}{11} + \frac{480 A a^{3} b^{7} d e^{3}}{11} + \frac{270 A a^{2} b^{8} d^{2} e^{2}}{11} + \frac{40 A a b^{9} d^{3} e}{11} + \frac{A b^{10} d^{4}}{11} + \frac{252 B a^{5} b^{5} e^{4}}{11} + \frac{840 B a^{4} b^{6} d e^{3}}{11} + \frac{720 B a^{3} b^{7} d^{2} e^{2}}{11} + \frac{180 B a^{2} b^{8} d^{3} e}{11} + \frac{10 B a b^{9} d^{4}}{11}\right) + x^{10} \left(\frac{126 A a^{5} b^{5} e^{4}}{5} + 84 A a^{4} b^{6} d e^{3} + 72 A a^{3} b^{7} d^{2} e^{2} + 18 A a^{2} b^{8} d^{3} e + A a b^{9} d^{4} + 21 B a^{6} b^{4} e^{4} + \frac{504 B a^{5} b^{5} d e^{3}}{5} + 126 B a^{4} b^{6} d^{2} e^{2} + 48 B a^{3} b^{7} d^{3} e + \frac{9 B a^{2} b^{8} d^{4}}{2}\right) + x^{9} \left(\frac{70 A a^{6} b^{4} e^{4}}{3} + 112 A a^{5} b^{5} d e^{3} + 140 A a^{4} b^{6} d^{2} e^{2} + \frac{160 A a^{3} b^{7} d^{3} e}{3} + 5 A a^{2} b^{8} d^{4} + \frac{40 B a^{7} b^{3} e^{4}}{3} + \frac{280 B a^{6} b^{4} d e^{3}}{3} + 168 B a^{5} b^{5} d^{2} e^{2} + \frac{280 B a^{4} b^{6} d^{3} e}{3} + \frac{40 B a^{3} b^{7} d^{4}}{3}\right) + x^{8} \left(15 A a^{7} b^{3} e^{4} + 105 A a^{6} b^{4} d e^{3} + 189 A a^{5} b^{5} d^{2} e^{2} + 105 A a^{4} b^{6} d^{3} e + 15 A a^{3} b^{7} d^{4} + \frac{45 B a^{8} b^{2} e^{4}}{8} + 60 B a^{7} b^{3} d e^{3} + \frac{315 B a^{6} b^{4} d^{2} e^{2}}{2} + 126 B a^{5} b^{5} d^{3} e + \frac{105 B a^{4} b^{6} d^{4}}{4}\right) + x^{7} \left(\frac{45 A a^{8} b^{2} e^{4}}{7} + \frac{480 A a^{7} b^{3} d e^{3}}{7} + 180 A a^{6} b^{4} d^{2} e^{2} + 144 A a^{5} b^{5} d^{3} e + 30 A a^{4} b^{6} d^{4} + \frac{10 B a^{9} b e^{4}}{7} + \frac{180 B a^{8} b^{2} d e^{3}}{7} + \frac{720 B a^{7} b^{3} d^{2} e^{2}}{7} + 120 B a^{6} b^{4} d^{3} e + 36 B a^{5} b^{5} d^{4}\right) + x^{6} \left(\frac{5 A a^{9} b e^{4}}{3} + 30 A a^{8} b^{2} d e^{3} + 120 A a^{7} b^{3} d^{2} e^{2} + 140 A a^{6} b^{4} d^{3} e + 42 A a^{5} b^{5} d^{4} + \frac{B a^{10} e^{4}}{6} + \frac{20 B a^{9} b d e^{3}}{3} + 45 B a^{8} b^{2} d^{2} e^{2} + 80 B a^{7} b^{3} d^{3} e + 35 B a^{6} b^{4} d^{4}\right) + x^{5} \left(\frac{A a^{10} e^{4}}{5} + 8 A a^{9} b d e^{3} + 54 A a^{8} b^{2} d^{2} e^{2} + 96 A a^{7} b^{3} d^{3} e + 42 A a^{6} b^{4} d^{4} + \frac{4 B a^{10} d e^{3}}{5} + 12 B a^{9} b d^{2} e^{2} + 36 B a^{8} b^{2} d^{3} e + 24 B a^{7} b^{3} d^{4}\right) + x^{4} \left(A a^{10} d e^{3} + 15 A a^{9} b d^{2} e^{2} + 45 A a^{8} b^{2} d^{3} e + 30 A a^{7} b^{3} d^{4} + \frac{3 B a^{10} d^{2} e^{2}}{2} + 10 B a^{9} b d^{3} e + \frac{45 B a^{8} b^{2} d^{4}}{4}\right) + x^{3} \left(2 A a^{10} d^{2} e^{2} + \frac{40 A a^{9} b d^{3} e}{3} + 15 A a^{8} b^{2} d^{4} + \frac{4 B a^{10} d^{3} e}{3} + \frac{10 B a^{9} b d^{4}}{3}\right) + x^{2} \left(2 A a^{10} d^{3} e + 5 A a^{9} b d^{4} + \frac{B a^{10} d^{4}}{2}\right)"," ",0,"A*a**10*d**4*x + B*b**10*e**4*x**16/16 + x**15*(A*b**10*e**4/15 + 2*B*a*b**9*e**4/3 + 4*B*b**10*d*e**3/15) + x**14*(5*A*a*b**9*e**4/7 + 2*A*b**10*d*e**3/7 + 45*B*a**2*b**8*e**4/14 + 20*B*a*b**9*d*e**3/7 + 3*B*b**10*d**2*e**2/7) + x**13*(45*A*a**2*b**8*e**4/13 + 40*A*a*b**9*d*e**3/13 + 6*A*b**10*d**2*e**2/13 + 120*B*a**3*b**7*e**4/13 + 180*B*a**2*b**8*d*e**3/13 + 60*B*a*b**9*d**2*e**2/13 + 4*B*b**10*d**3*e/13) + x**12*(10*A*a**3*b**7*e**4 + 15*A*a**2*b**8*d*e**3 + 5*A*a*b**9*d**2*e**2 + A*b**10*d**3*e/3 + 35*B*a**4*b**6*e**4/2 + 40*B*a**3*b**7*d*e**3 + 45*B*a**2*b**8*d**2*e**2/2 + 10*B*a*b**9*d**3*e/3 + B*b**10*d**4/12) + x**11*(210*A*a**4*b**6*e**4/11 + 480*A*a**3*b**7*d*e**3/11 + 270*A*a**2*b**8*d**2*e**2/11 + 40*A*a*b**9*d**3*e/11 + A*b**10*d**4/11 + 252*B*a**5*b**5*e**4/11 + 840*B*a**4*b**6*d*e**3/11 + 720*B*a**3*b**7*d**2*e**2/11 + 180*B*a**2*b**8*d**3*e/11 + 10*B*a*b**9*d**4/11) + x**10*(126*A*a**5*b**5*e**4/5 + 84*A*a**4*b**6*d*e**3 + 72*A*a**3*b**7*d**2*e**2 + 18*A*a**2*b**8*d**3*e + A*a*b**9*d**4 + 21*B*a**6*b**4*e**4 + 504*B*a**5*b**5*d*e**3/5 + 126*B*a**4*b**6*d**2*e**2 + 48*B*a**3*b**7*d**3*e + 9*B*a**2*b**8*d**4/2) + x**9*(70*A*a**6*b**4*e**4/3 + 112*A*a**5*b**5*d*e**3 + 140*A*a**4*b**6*d**2*e**2 + 160*A*a**3*b**7*d**3*e/3 + 5*A*a**2*b**8*d**4 + 40*B*a**7*b**3*e**4/3 + 280*B*a**6*b**4*d*e**3/3 + 168*B*a**5*b**5*d**2*e**2 + 280*B*a**4*b**6*d**3*e/3 + 40*B*a**3*b**7*d**4/3) + x**8*(15*A*a**7*b**3*e**4 + 105*A*a**6*b**4*d*e**3 + 189*A*a**5*b**5*d**2*e**2 + 105*A*a**4*b**6*d**3*e + 15*A*a**3*b**7*d**4 + 45*B*a**8*b**2*e**4/8 + 60*B*a**7*b**3*d*e**3 + 315*B*a**6*b**4*d**2*e**2/2 + 126*B*a**5*b**5*d**3*e + 105*B*a**4*b**6*d**4/4) + x**7*(45*A*a**8*b**2*e**4/7 + 480*A*a**7*b**3*d*e**3/7 + 180*A*a**6*b**4*d**2*e**2 + 144*A*a**5*b**5*d**3*e + 30*A*a**4*b**6*d**4 + 10*B*a**9*b*e**4/7 + 180*B*a**8*b**2*d*e**3/7 + 720*B*a**7*b**3*d**2*e**2/7 + 120*B*a**6*b**4*d**3*e + 36*B*a**5*b**5*d**4) + x**6*(5*A*a**9*b*e**4/3 + 30*A*a**8*b**2*d*e**3 + 120*A*a**7*b**3*d**2*e**2 + 140*A*a**6*b**4*d**3*e + 42*A*a**5*b**5*d**4 + B*a**10*e**4/6 + 20*B*a**9*b*d*e**3/3 + 45*B*a**8*b**2*d**2*e**2 + 80*B*a**7*b**3*d**3*e + 35*B*a**6*b**4*d**4) + x**5*(A*a**10*e**4/5 + 8*A*a**9*b*d*e**3 + 54*A*a**8*b**2*d**2*e**2 + 96*A*a**7*b**3*d**3*e + 42*A*a**6*b**4*d**4 + 4*B*a**10*d*e**3/5 + 12*B*a**9*b*d**2*e**2 + 36*B*a**8*b**2*d**3*e + 24*B*a**7*b**3*d**4) + x**4*(A*a**10*d*e**3 + 15*A*a**9*b*d**2*e**2 + 45*A*a**8*b**2*d**3*e + 30*A*a**7*b**3*d**4 + 3*B*a**10*d**2*e**2/2 + 10*B*a**9*b*d**3*e + 45*B*a**8*b**2*d**4/4) + x**3*(2*A*a**10*d**2*e**2 + 40*A*a**9*b*d**3*e/3 + 15*A*a**8*b**2*d**4 + 4*B*a**10*d**3*e/3 + 10*B*a**9*b*d**4/3) + x**2*(2*A*a**10*d**3*e + 5*A*a**9*b*d**4 + B*a**10*d**4/2)","B",0
1085,1,1302,0,0.244423," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**3,x)","A a^{10} d^{3} x + \frac{B b^{10} e^{3} x^{15}}{15} + x^{14} \left(\frac{A b^{10} e^{3}}{14} + \frac{5 B a b^{9} e^{3}}{7} + \frac{3 B b^{10} d e^{2}}{14}\right) + x^{13} \left(\frac{10 A a b^{9} e^{3}}{13} + \frac{3 A b^{10} d e^{2}}{13} + \frac{45 B a^{2} b^{8} e^{3}}{13} + \frac{30 B a b^{9} d e^{2}}{13} + \frac{3 B b^{10} d^{2} e}{13}\right) + x^{12} \left(\frac{15 A a^{2} b^{8} e^{3}}{4} + \frac{5 A a b^{9} d e^{2}}{2} + \frac{A b^{10} d^{2} e}{4} + 10 B a^{3} b^{7} e^{3} + \frac{45 B a^{2} b^{8} d e^{2}}{4} + \frac{5 B a b^{9} d^{2} e}{2} + \frac{B b^{10} d^{3}}{12}\right) + x^{11} \left(\frac{120 A a^{3} b^{7} e^{3}}{11} + \frac{135 A a^{2} b^{8} d e^{2}}{11} + \frac{30 A a b^{9} d^{2} e}{11} + \frac{A b^{10} d^{3}}{11} + \frac{210 B a^{4} b^{6} e^{3}}{11} + \frac{360 B a^{3} b^{7} d e^{2}}{11} + \frac{135 B a^{2} b^{8} d^{2} e}{11} + \frac{10 B a b^{9} d^{3}}{11}\right) + x^{10} \left(21 A a^{4} b^{6} e^{3} + 36 A a^{3} b^{7} d e^{2} + \frac{27 A a^{2} b^{8} d^{2} e}{2} + A a b^{9} d^{3} + \frac{126 B a^{5} b^{5} e^{3}}{5} + 63 B a^{4} b^{6} d e^{2} + 36 B a^{3} b^{7} d^{2} e + \frac{9 B a^{2} b^{8} d^{3}}{2}\right) + x^{9} \left(28 A a^{5} b^{5} e^{3} + 70 A a^{4} b^{6} d e^{2} + 40 A a^{3} b^{7} d^{2} e + 5 A a^{2} b^{8} d^{3} + \frac{70 B a^{6} b^{4} e^{3}}{3} + 84 B a^{5} b^{5} d e^{2} + 70 B a^{4} b^{6} d^{2} e + \frac{40 B a^{3} b^{7} d^{3}}{3}\right) + x^{8} \left(\frac{105 A a^{6} b^{4} e^{3}}{4} + \frac{189 A a^{5} b^{5} d e^{2}}{2} + \frac{315 A a^{4} b^{6} d^{2} e}{4} + 15 A a^{3} b^{7} d^{3} + 15 B a^{7} b^{3} e^{3} + \frac{315 B a^{6} b^{4} d e^{2}}{4} + \frac{189 B a^{5} b^{5} d^{2} e}{2} + \frac{105 B a^{4} b^{6} d^{3}}{4}\right) + x^{7} \left(\frac{120 A a^{7} b^{3} e^{3}}{7} + 90 A a^{6} b^{4} d e^{2} + 108 A a^{5} b^{5} d^{2} e + 30 A a^{4} b^{6} d^{3} + \frac{45 B a^{8} b^{2} e^{3}}{7} + \frac{360 B a^{7} b^{3} d e^{2}}{7} + 90 B a^{6} b^{4} d^{2} e + 36 B a^{5} b^{5} d^{3}\right) + x^{6} \left(\frac{15 A a^{8} b^{2} e^{3}}{2} + 60 A a^{7} b^{3} d e^{2} + 105 A a^{6} b^{4} d^{2} e + 42 A a^{5} b^{5} d^{3} + \frac{5 B a^{9} b e^{3}}{3} + \frac{45 B a^{8} b^{2} d e^{2}}{2} + 60 B a^{7} b^{3} d^{2} e + 35 B a^{6} b^{4} d^{3}\right) + x^{5} \left(2 A a^{9} b e^{3} + 27 A a^{8} b^{2} d e^{2} + 72 A a^{7} b^{3} d^{2} e + 42 A a^{6} b^{4} d^{3} + \frac{B a^{10} e^{3}}{5} + 6 B a^{9} b d e^{2} + 27 B a^{8} b^{2} d^{2} e + 24 B a^{7} b^{3} d^{3}\right) + x^{4} \left(\frac{A a^{10} e^{3}}{4} + \frac{15 A a^{9} b d e^{2}}{2} + \frac{135 A a^{8} b^{2} d^{2} e}{4} + 30 A a^{7} b^{3} d^{3} + \frac{3 B a^{10} d e^{2}}{4} + \frac{15 B a^{9} b d^{2} e}{2} + \frac{45 B a^{8} b^{2} d^{3}}{4}\right) + x^{3} \left(A a^{10} d e^{2} + 10 A a^{9} b d^{2} e + 15 A a^{8} b^{2} d^{3} + B a^{10} d^{2} e + \frac{10 B a^{9} b d^{3}}{3}\right) + x^{2} \left(\frac{3 A a^{10} d^{2} e}{2} + 5 A a^{9} b d^{3} + \frac{B a^{10} d^{3}}{2}\right)"," ",0,"A*a**10*d**3*x + B*b**10*e**3*x**15/15 + x**14*(A*b**10*e**3/14 + 5*B*a*b**9*e**3/7 + 3*B*b**10*d*e**2/14) + x**13*(10*A*a*b**9*e**3/13 + 3*A*b**10*d*e**2/13 + 45*B*a**2*b**8*e**3/13 + 30*B*a*b**9*d*e**2/13 + 3*B*b**10*d**2*e/13) + x**12*(15*A*a**2*b**8*e**3/4 + 5*A*a*b**9*d*e**2/2 + A*b**10*d**2*e/4 + 10*B*a**3*b**7*e**3 + 45*B*a**2*b**8*d*e**2/4 + 5*B*a*b**9*d**2*e/2 + B*b**10*d**3/12) + x**11*(120*A*a**3*b**7*e**3/11 + 135*A*a**2*b**8*d*e**2/11 + 30*A*a*b**9*d**2*e/11 + A*b**10*d**3/11 + 210*B*a**4*b**6*e**3/11 + 360*B*a**3*b**7*d*e**2/11 + 135*B*a**2*b**8*d**2*e/11 + 10*B*a*b**9*d**3/11) + x**10*(21*A*a**4*b**6*e**3 + 36*A*a**3*b**7*d*e**2 + 27*A*a**2*b**8*d**2*e/2 + A*a*b**9*d**3 + 126*B*a**5*b**5*e**3/5 + 63*B*a**4*b**6*d*e**2 + 36*B*a**3*b**7*d**2*e + 9*B*a**2*b**8*d**3/2) + x**9*(28*A*a**5*b**5*e**3 + 70*A*a**4*b**6*d*e**2 + 40*A*a**3*b**7*d**2*e + 5*A*a**2*b**8*d**3 + 70*B*a**6*b**4*e**3/3 + 84*B*a**5*b**5*d*e**2 + 70*B*a**4*b**6*d**2*e + 40*B*a**3*b**7*d**3/3) + x**8*(105*A*a**6*b**4*e**3/4 + 189*A*a**5*b**5*d*e**2/2 + 315*A*a**4*b**6*d**2*e/4 + 15*A*a**3*b**7*d**3 + 15*B*a**7*b**3*e**3 + 315*B*a**6*b**4*d*e**2/4 + 189*B*a**5*b**5*d**2*e/2 + 105*B*a**4*b**6*d**3/4) + x**7*(120*A*a**7*b**3*e**3/7 + 90*A*a**6*b**4*d*e**2 + 108*A*a**5*b**5*d**2*e + 30*A*a**4*b**6*d**3 + 45*B*a**8*b**2*e**3/7 + 360*B*a**7*b**3*d*e**2/7 + 90*B*a**6*b**4*d**2*e + 36*B*a**5*b**5*d**3) + x**6*(15*A*a**8*b**2*e**3/2 + 60*A*a**7*b**3*d*e**2 + 105*A*a**6*b**4*d**2*e + 42*A*a**5*b**5*d**3 + 5*B*a**9*b*e**3/3 + 45*B*a**8*b**2*d*e**2/2 + 60*B*a**7*b**3*d**2*e + 35*B*a**6*b**4*d**3) + x**5*(2*A*a**9*b*e**3 + 27*A*a**8*b**2*d*e**2 + 72*A*a**7*b**3*d**2*e + 42*A*a**6*b**4*d**3 + B*a**10*e**3/5 + 6*B*a**9*b*d*e**2 + 27*B*a**8*b**2*d**2*e + 24*B*a**7*b**3*d**3) + x**4*(A*a**10*e**3/4 + 15*A*a**9*b*d*e**2/2 + 135*A*a**8*b**2*d**2*e/4 + 30*A*a**7*b**3*d**3 + 3*B*a**10*d*e**2/4 + 15*B*a**9*b*d**2*e/2 + 45*B*a**8*b**2*d**3/4) + x**3*(A*a**10*d*e**2 + 10*A*a**9*b*d**2*e + 15*A*a**8*b**2*d**3 + B*a**10*d**2*e + 10*B*a**9*b*d**3/3) + x**2*(3*A*a**10*d**2*e/2 + 5*A*a**9*b*d**3 + B*a**10*d**3/2)","B",0
1086,1,921,0,0.203713," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d)**2,x)","A a^{10} d^{2} x + \frac{B b^{10} e^{2} x^{14}}{14} + x^{13} \left(\frac{A b^{10} e^{2}}{13} + \frac{10 B a b^{9} e^{2}}{13} + \frac{2 B b^{10} d e}{13}\right) + x^{12} \left(\frac{5 A a b^{9} e^{2}}{6} + \frac{A b^{10} d e}{6} + \frac{15 B a^{2} b^{8} e^{2}}{4} + \frac{5 B a b^{9} d e}{3} + \frac{B b^{10} d^{2}}{12}\right) + x^{11} \left(\frac{45 A a^{2} b^{8} e^{2}}{11} + \frac{20 A a b^{9} d e}{11} + \frac{A b^{10} d^{2}}{11} + \frac{120 B a^{3} b^{7} e^{2}}{11} + \frac{90 B a^{2} b^{8} d e}{11} + \frac{10 B a b^{9} d^{2}}{11}\right) + x^{10} \left(12 A a^{3} b^{7} e^{2} + 9 A a^{2} b^{8} d e + A a b^{9} d^{2} + 21 B a^{4} b^{6} e^{2} + 24 B a^{3} b^{7} d e + \frac{9 B a^{2} b^{8} d^{2}}{2}\right) + x^{9} \left(\frac{70 A a^{4} b^{6} e^{2}}{3} + \frac{80 A a^{3} b^{7} d e}{3} + 5 A a^{2} b^{8} d^{2} + 28 B a^{5} b^{5} e^{2} + \frac{140 B a^{4} b^{6} d e}{3} + \frac{40 B a^{3} b^{7} d^{2}}{3}\right) + x^{8} \left(\frac{63 A a^{5} b^{5} e^{2}}{2} + \frac{105 A a^{4} b^{6} d e}{2} + 15 A a^{3} b^{7} d^{2} + \frac{105 B a^{6} b^{4} e^{2}}{4} + 63 B a^{5} b^{5} d e + \frac{105 B a^{4} b^{6} d^{2}}{4}\right) + x^{7} \left(30 A a^{6} b^{4} e^{2} + 72 A a^{5} b^{5} d e + 30 A a^{4} b^{6} d^{2} + \frac{120 B a^{7} b^{3} e^{2}}{7} + 60 B a^{6} b^{4} d e + 36 B a^{5} b^{5} d^{2}\right) + x^{6} \left(20 A a^{7} b^{3} e^{2} + 70 A a^{6} b^{4} d e + 42 A a^{5} b^{5} d^{2} + \frac{15 B a^{8} b^{2} e^{2}}{2} + 40 B a^{7} b^{3} d e + 35 B a^{6} b^{4} d^{2}\right) + x^{5} \left(9 A a^{8} b^{2} e^{2} + 48 A a^{7} b^{3} d e + 42 A a^{6} b^{4} d^{2} + 2 B a^{9} b e^{2} + 18 B a^{8} b^{2} d e + 24 B a^{7} b^{3} d^{2}\right) + x^{4} \left(\frac{5 A a^{9} b e^{2}}{2} + \frac{45 A a^{8} b^{2} d e}{2} + 30 A a^{7} b^{3} d^{2} + \frac{B a^{10} e^{2}}{4} + 5 B a^{9} b d e + \frac{45 B a^{8} b^{2} d^{2}}{4}\right) + x^{3} \left(\frac{A a^{10} e^{2}}{3} + \frac{20 A a^{9} b d e}{3} + 15 A a^{8} b^{2} d^{2} + \frac{2 B a^{10} d e}{3} + \frac{10 B a^{9} b d^{2}}{3}\right) + x^{2} \left(A a^{10} d e + 5 A a^{9} b d^{2} + \frac{B a^{10} d^{2}}{2}\right)"," ",0,"A*a**10*d**2*x + B*b**10*e**2*x**14/14 + x**13*(A*b**10*e**2/13 + 10*B*a*b**9*e**2/13 + 2*B*b**10*d*e/13) + x**12*(5*A*a*b**9*e**2/6 + A*b**10*d*e/6 + 15*B*a**2*b**8*e**2/4 + 5*B*a*b**9*d*e/3 + B*b**10*d**2/12) + x**11*(45*A*a**2*b**8*e**2/11 + 20*A*a*b**9*d*e/11 + A*b**10*d**2/11 + 120*B*a**3*b**7*e**2/11 + 90*B*a**2*b**8*d*e/11 + 10*B*a*b**9*d**2/11) + x**10*(12*A*a**3*b**7*e**2 + 9*A*a**2*b**8*d*e + A*a*b**9*d**2 + 21*B*a**4*b**6*e**2 + 24*B*a**3*b**7*d*e + 9*B*a**2*b**8*d**2/2) + x**9*(70*A*a**4*b**6*e**2/3 + 80*A*a**3*b**7*d*e/3 + 5*A*a**2*b**8*d**2 + 28*B*a**5*b**5*e**2 + 140*B*a**4*b**6*d*e/3 + 40*B*a**3*b**7*d**2/3) + x**8*(63*A*a**5*b**5*e**2/2 + 105*A*a**4*b**6*d*e/2 + 15*A*a**3*b**7*d**2 + 105*B*a**6*b**4*e**2/4 + 63*B*a**5*b**5*d*e + 105*B*a**4*b**6*d**2/4) + x**7*(30*A*a**6*b**4*e**2 + 72*A*a**5*b**5*d*e + 30*A*a**4*b**6*d**2 + 120*B*a**7*b**3*e**2/7 + 60*B*a**6*b**4*d*e + 36*B*a**5*b**5*d**2) + x**6*(20*A*a**7*b**3*e**2 + 70*A*a**6*b**4*d*e + 42*A*a**5*b**5*d**2 + 15*B*a**8*b**2*e**2/2 + 40*B*a**7*b**3*d*e + 35*B*a**6*b**4*d**2) + x**5*(9*A*a**8*b**2*e**2 + 48*A*a**7*b**3*d*e + 42*A*a**6*b**4*d**2 + 2*B*a**9*b*e**2 + 18*B*a**8*b**2*d*e + 24*B*a**7*b**3*d**2) + x**4*(5*A*a**9*b*e**2/2 + 45*A*a**8*b**2*d*e/2 + 30*A*a**7*b**3*d**2 + B*a**10*e**2/4 + 5*B*a**9*b*d*e + 45*B*a**8*b**2*d**2/4) + x**3*(A*a**10*e**2/3 + 20*A*a**9*b*d*e/3 + 15*A*a**8*b**2*d**2 + 2*B*a**10*d*e/3 + 10*B*a**9*b*d**2/3) + x**2*(A*a**10*d*e + 5*A*a**9*b*d**2 + B*a**10*d**2/2)","B",0
1087,1,549,0,0.155048," ","integrate((b*x+a)**10*(B*x+A)*(e*x+d),x)","A a^{10} d x + \frac{B b^{10} e x^{13}}{13} + x^{12} \left(\frac{A b^{10} e}{12} + \frac{5 B a b^{9} e}{6} + \frac{B b^{10} d}{12}\right) + x^{11} \left(\frac{10 A a b^{9} e}{11} + \frac{A b^{10} d}{11} + \frac{45 B a^{2} b^{8} e}{11} + \frac{10 B a b^{9} d}{11}\right) + x^{10} \left(\frac{9 A a^{2} b^{8} e}{2} + A a b^{9} d + 12 B a^{3} b^{7} e + \frac{9 B a^{2} b^{8} d}{2}\right) + x^{9} \left(\frac{40 A a^{3} b^{7} e}{3} + 5 A a^{2} b^{8} d + \frac{70 B a^{4} b^{6} e}{3} + \frac{40 B a^{3} b^{7} d}{3}\right) + x^{8} \left(\frac{105 A a^{4} b^{6} e}{4} + 15 A a^{3} b^{7} d + \frac{63 B a^{5} b^{5} e}{2} + \frac{105 B a^{4} b^{6} d}{4}\right) + x^{7} \left(36 A a^{5} b^{5} e + 30 A a^{4} b^{6} d + 30 B a^{6} b^{4} e + 36 B a^{5} b^{5} d\right) + x^{6} \left(35 A a^{6} b^{4} e + 42 A a^{5} b^{5} d + 20 B a^{7} b^{3} e + 35 B a^{6} b^{4} d\right) + x^{5} \left(24 A a^{7} b^{3} e + 42 A a^{6} b^{4} d + 9 B a^{8} b^{2} e + 24 B a^{7} b^{3} d\right) + x^{4} \left(\frac{45 A a^{8} b^{2} e}{4} + 30 A a^{7} b^{3} d + \frac{5 B a^{9} b e}{2} + \frac{45 B a^{8} b^{2} d}{4}\right) + x^{3} \left(\frac{10 A a^{9} b e}{3} + 15 A a^{8} b^{2} d + \frac{B a^{10} e}{3} + \frac{10 B a^{9} b d}{3}\right) + x^{2} \left(\frac{A a^{10} e}{2} + 5 A a^{9} b d + \frac{B a^{10} d}{2}\right)"," ",0,"A*a**10*d*x + B*b**10*e*x**13/13 + x**12*(A*b**10*e/12 + 5*B*a*b**9*e/6 + B*b**10*d/12) + x**11*(10*A*a*b**9*e/11 + A*b**10*d/11 + 45*B*a**2*b**8*e/11 + 10*B*a*b**9*d/11) + x**10*(9*A*a**2*b**8*e/2 + A*a*b**9*d + 12*B*a**3*b**7*e + 9*B*a**2*b**8*d/2) + x**9*(40*A*a**3*b**7*e/3 + 5*A*a**2*b**8*d + 70*B*a**4*b**6*e/3 + 40*B*a**3*b**7*d/3) + x**8*(105*A*a**4*b**6*e/4 + 15*A*a**3*b**7*d + 63*B*a**5*b**5*e/2 + 105*B*a**4*b**6*d/4) + x**7*(36*A*a**5*b**5*e + 30*A*a**4*b**6*d + 30*B*a**6*b**4*e + 36*B*a**5*b**5*d) + x**6*(35*A*a**6*b**4*e + 42*A*a**5*b**5*d + 20*B*a**7*b**3*e + 35*B*a**6*b**4*d) + x**5*(24*A*a**7*b**3*e + 42*A*a**6*b**4*d + 9*B*a**8*b**2*e + 24*B*a**7*b**3*d) + x**4*(45*A*a**8*b**2*e/4 + 30*A*a**7*b**3*d + 5*B*a**9*b*e/2 + 45*B*a**8*b**2*d/4) + x**3*(10*A*a**9*b*e/3 + 15*A*a**8*b**2*d + B*a**10*e/3 + 10*B*a**9*b*d/3) + x**2*(A*a**10*e/2 + 5*A*a**9*b*d + B*a**10*d/2)","B",0
1088,1,248,0,0.119394," ","integrate((b*x+a)**10*(B*x+A),x)","A a^{10} x + \frac{B b^{10} x^{12}}{12} + x^{11} \left(\frac{A b^{10}}{11} + \frac{10 B a b^{9}}{11}\right) + x^{10} \left(A a b^{9} + \frac{9 B a^{2} b^{8}}{2}\right) + x^{9} \left(5 A a^{2} b^{8} + \frac{40 B a^{3} b^{7}}{3}\right) + x^{8} \left(15 A a^{3} b^{7} + \frac{105 B a^{4} b^{6}}{4}\right) + x^{7} \left(30 A a^{4} b^{6} + 36 B a^{5} b^{5}\right) + x^{6} \left(42 A a^{5} b^{5} + 35 B a^{6} b^{4}\right) + x^{5} \left(42 A a^{6} b^{4} + 24 B a^{7} b^{3}\right) + x^{4} \left(30 A a^{7} b^{3} + \frac{45 B a^{8} b^{2}}{4}\right) + x^{3} \left(15 A a^{8} b^{2} + \frac{10 B a^{9} b}{3}\right) + x^{2} \left(5 A a^{9} b + \frac{B a^{10}}{2}\right)"," ",0,"A*a**10*x + B*b**10*x**12/12 + x**11*(A*b**10/11 + 10*B*a*b**9/11) + x**10*(A*a*b**9 + 9*B*a**2*b**8/2) + x**9*(5*A*a**2*b**8 + 40*B*a**3*b**7/3) + x**8*(15*A*a**3*b**7 + 105*B*a**4*b**6/4) + x**7*(30*A*a**4*b**6 + 36*B*a**5*b**5) + x**6*(42*A*a**5*b**5 + 35*B*a**6*b**4) + x**5*(42*A*a**6*b**4 + 24*B*a**7*b**3) + x**4*(30*A*a**7*b**3 + 45*B*a**8*b**2/4) + x**3*(15*A*a**8*b**2 + 10*B*a**9*b/3) + x**2*(5*A*a**9*b + B*a**10/2)","B",0
1089,1,1912,0,3.820463," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d),x)","\frac{B b^{10} x^{11}}{11 e} + x^{10} \left(\frac{A b^{10}}{10 e} + \frac{B a b^{9}}{e} - \frac{B b^{10} d}{10 e^{2}}\right) + x^{9} \left(\frac{10 A a b^{9}}{9 e} - \frac{A b^{10} d}{9 e^{2}} + \frac{5 B a^{2} b^{8}}{e} - \frac{10 B a b^{9} d}{9 e^{2}} + \frac{B b^{10} d^{2}}{9 e^{3}}\right) + x^{8} \left(\frac{45 A a^{2} b^{8}}{8 e} - \frac{5 A a b^{9} d}{4 e^{2}} + \frac{A b^{10} d^{2}}{8 e^{3}} + \frac{15 B a^{3} b^{7}}{e} - \frac{45 B a^{2} b^{8} d}{8 e^{2}} + \frac{5 B a b^{9} d^{2}}{4 e^{3}} - \frac{B b^{10} d^{3}}{8 e^{4}}\right) + x^{7} \left(\frac{120 A a^{3} b^{7}}{7 e} - \frac{45 A a^{2} b^{8} d}{7 e^{2}} + \frac{10 A a b^{9} d^{2}}{7 e^{3}} - \frac{A b^{10} d^{3}}{7 e^{4}} + \frac{30 B a^{4} b^{6}}{e} - \frac{120 B a^{3} b^{7} d}{7 e^{2}} + \frac{45 B a^{2} b^{8} d^{2}}{7 e^{3}} - \frac{10 B a b^{9} d^{3}}{7 e^{4}} + \frac{B b^{10} d^{4}}{7 e^{5}}\right) + x^{6} \left(\frac{35 A a^{4} b^{6}}{e} - \frac{20 A a^{3} b^{7} d}{e^{2}} + \frac{15 A a^{2} b^{8} d^{2}}{2 e^{3}} - \frac{5 A a b^{9} d^{3}}{3 e^{4}} + \frac{A b^{10} d^{4}}{6 e^{5}} + \frac{42 B a^{5} b^{5}}{e} - \frac{35 B a^{4} b^{6} d}{e^{2}} + \frac{20 B a^{3} b^{7} d^{2}}{e^{3}} - \frac{15 B a^{2} b^{8} d^{3}}{2 e^{4}} + \frac{5 B a b^{9} d^{4}}{3 e^{5}} - \frac{B b^{10} d^{5}}{6 e^{6}}\right) + x^{5} \left(\frac{252 A a^{5} b^{5}}{5 e} - \frac{42 A a^{4} b^{6} d}{e^{2}} + \frac{24 A a^{3} b^{7} d^{2}}{e^{3}} - \frac{9 A a^{2} b^{8} d^{3}}{e^{4}} + \frac{2 A a b^{9} d^{4}}{e^{5}} - \frac{A b^{10} d^{5}}{5 e^{6}} + \frac{42 B a^{6} b^{4}}{e} - \frac{252 B a^{5} b^{5} d}{5 e^{2}} + \frac{42 B a^{4} b^{6} d^{2}}{e^{3}} - \frac{24 B a^{3} b^{7} d^{3}}{e^{4}} + \frac{9 B a^{2} b^{8} d^{4}}{e^{5}} - \frac{2 B a b^{9} d^{5}}{e^{6}} + \frac{B b^{10} d^{6}}{5 e^{7}}\right) + x^{4} \left(\frac{105 A a^{6} b^{4}}{2 e} - \frac{63 A a^{5} b^{5} d}{e^{2}} + \frac{105 A a^{4} b^{6} d^{2}}{2 e^{3}} - \frac{30 A a^{3} b^{7} d^{3}}{e^{4}} + \frac{45 A a^{2} b^{8} d^{4}}{4 e^{5}} - \frac{5 A a b^{9} d^{5}}{2 e^{6}} + \frac{A b^{10} d^{6}}{4 e^{7}} + \frac{30 B a^{7} b^{3}}{e} - \frac{105 B a^{6} b^{4} d}{2 e^{2}} + \frac{63 B a^{5} b^{5} d^{2}}{e^{3}} - \frac{105 B a^{4} b^{6} d^{3}}{2 e^{4}} + \frac{30 B a^{3} b^{7} d^{4}}{e^{5}} - \frac{45 B a^{2} b^{8} d^{5}}{4 e^{6}} + \frac{5 B a b^{9} d^{6}}{2 e^{7}} - \frac{B b^{10} d^{7}}{4 e^{8}}\right) + x^{3} \left(\frac{40 A a^{7} b^{3}}{e} - \frac{70 A a^{6} b^{4} d}{e^{2}} + \frac{84 A a^{5} b^{5} d^{2}}{e^{3}} - \frac{70 A a^{4} b^{6} d^{3}}{e^{4}} + \frac{40 A a^{3} b^{7} d^{4}}{e^{5}} - \frac{15 A a^{2} b^{8} d^{5}}{e^{6}} + \frac{10 A a b^{9} d^{6}}{3 e^{7}} - \frac{A b^{10} d^{7}}{3 e^{8}} + \frac{15 B a^{8} b^{2}}{e} - \frac{40 B a^{7} b^{3} d}{e^{2}} + \frac{70 B a^{6} b^{4} d^{2}}{e^{3}} - \frac{84 B a^{5} b^{5} d^{3}}{e^{4}} + \frac{70 B a^{4} b^{6} d^{4}}{e^{5}} - \frac{40 B a^{3} b^{7} d^{5}}{e^{6}} + \frac{15 B a^{2} b^{8} d^{6}}{e^{7}} - \frac{10 B a b^{9} d^{7}}{3 e^{8}} + \frac{B b^{10} d^{8}}{3 e^{9}}\right) + x^{2} \left(\frac{45 A a^{8} b^{2}}{2 e} - \frac{60 A a^{7} b^{3} d}{e^{2}} + \frac{105 A a^{6} b^{4} d^{2}}{e^{3}} - \frac{126 A a^{5} b^{5} d^{3}}{e^{4}} + \frac{105 A a^{4} b^{6} d^{4}}{e^{5}} - \frac{60 A a^{3} b^{7} d^{5}}{e^{6}} + \frac{45 A a^{2} b^{8} d^{6}}{2 e^{7}} - \frac{5 A a b^{9} d^{7}}{e^{8}} + \frac{A b^{10} d^{8}}{2 e^{9}} + \frac{5 B a^{9} b}{e} - \frac{45 B a^{8} b^{2} d}{2 e^{2}} + \frac{60 B a^{7} b^{3} d^{2}}{e^{3}} - \frac{105 B a^{6} b^{4} d^{3}}{e^{4}} + \frac{126 B a^{5} b^{5} d^{4}}{e^{5}} - \frac{105 B a^{4} b^{6} d^{5}}{e^{6}} + \frac{60 B a^{3} b^{7} d^{6}}{e^{7}} - \frac{45 B a^{2} b^{8} d^{7}}{2 e^{8}} + \frac{5 B a b^{9} d^{8}}{e^{9}} - \frac{B b^{10} d^{9}}{2 e^{10}}\right) + x \left(\frac{10 A a^{9} b}{e} - \frac{45 A a^{8} b^{2} d}{e^{2}} + \frac{120 A a^{7} b^{3} d^{2}}{e^{3}} - \frac{210 A a^{6} b^{4} d^{3}}{e^{4}} + \frac{252 A a^{5} b^{5} d^{4}}{e^{5}} - \frac{210 A a^{4} b^{6} d^{5}}{e^{6}} + \frac{120 A a^{3} b^{7} d^{6}}{e^{7}} - \frac{45 A a^{2} b^{8} d^{7}}{e^{8}} + \frac{10 A a b^{9} d^{8}}{e^{9}} - \frac{A b^{10} d^{9}}{e^{10}} + \frac{B a^{10}}{e} - \frac{10 B a^{9} b d}{e^{2}} + \frac{45 B a^{8} b^{2} d^{2}}{e^{3}} - \frac{120 B a^{7} b^{3} d^{3}}{e^{4}} + \frac{210 B a^{6} b^{4} d^{4}}{e^{5}} - \frac{252 B a^{5} b^{5} d^{5}}{e^{6}} + \frac{210 B a^{4} b^{6} d^{6}}{e^{7}} - \frac{120 B a^{3} b^{7} d^{7}}{e^{8}} + \frac{45 B a^{2} b^{8} d^{8}}{e^{9}} - \frac{10 B a b^{9} d^{9}}{e^{10}} + \frac{B b^{10} d^{10}}{e^{11}}\right) - \frac{\left(- A e + B d\right) \left(a e - b d\right)^{10} \log{\left(d + e x \right)}}{e^{12}}"," ",0,"B*b**10*x**11/(11*e) + x**10*(A*b**10/(10*e) + B*a*b**9/e - B*b**10*d/(10*e**2)) + x**9*(10*A*a*b**9/(9*e) - A*b**10*d/(9*e**2) + 5*B*a**2*b**8/e - 10*B*a*b**9*d/(9*e**2) + B*b**10*d**2/(9*e**3)) + x**8*(45*A*a**2*b**8/(8*e) - 5*A*a*b**9*d/(4*e**2) + A*b**10*d**2/(8*e**3) + 15*B*a**3*b**7/e - 45*B*a**2*b**8*d/(8*e**2) + 5*B*a*b**9*d**2/(4*e**3) - B*b**10*d**3/(8*e**4)) + x**7*(120*A*a**3*b**7/(7*e) - 45*A*a**2*b**8*d/(7*e**2) + 10*A*a*b**9*d**2/(7*e**3) - A*b**10*d**3/(7*e**4) + 30*B*a**4*b**6/e - 120*B*a**3*b**7*d/(7*e**2) + 45*B*a**2*b**8*d**2/(7*e**3) - 10*B*a*b**9*d**3/(7*e**4) + B*b**10*d**4/(7*e**5)) + x**6*(35*A*a**4*b**6/e - 20*A*a**3*b**7*d/e**2 + 15*A*a**2*b**8*d**2/(2*e**3) - 5*A*a*b**9*d**3/(3*e**4) + A*b**10*d**4/(6*e**5) + 42*B*a**5*b**5/e - 35*B*a**4*b**6*d/e**2 + 20*B*a**3*b**7*d**2/e**3 - 15*B*a**2*b**8*d**3/(2*e**4) + 5*B*a*b**9*d**4/(3*e**5) - B*b**10*d**5/(6*e**6)) + x**5*(252*A*a**5*b**5/(5*e) - 42*A*a**4*b**6*d/e**2 + 24*A*a**3*b**7*d**2/e**3 - 9*A*a**2*b**8*d**3/e**4 + 2*A*a*b**9*d**4/e**5 - A*b**10*d**5/(5*e**6) + 42*B*a**6*b**4/e - 252*B*a**5*b**5*d/(5*e**2) + 42*B*a**4*b**6*d**2/e**3 - 24*B*a**3*b**7*d**3/e**4 + 9*B*a**2*b**8*d**4/e**5 - 2*B*a*b**9*d**5/e**6 + B*b**10*d**6/(5*e**7)) + x**4*(105*A*a**6*b**4/(2*e) - 63*A*a**5*b**5*d/e**2 + 105*A*a**4*b**6*d**2/(2*e**3) - 30*A*a**3*b**7*d**3/e**4 + 45*A*a**2*b**8*d**4/(4*e**5) - 5*A*a*b**9*d**5/(2*e**6) + A*b**10*d**6/(4*e**7) + 30*B*a**7*b**3/e - 105*B*a**6*b**4*d/(2*e**2) + 63*B*a**5*b**5*d**2/e**3 - 105*B*a**4*b**6*d**3/(2*e**4) + 30*B*a**3*b**7*d**4/e**5 - 45*B*a**2*b**8*d**5/(4*e**6) + 5*B*a*b**9*d**6/(2*e**7) - B*b**10*d**7/(4*e**8)) + x**3*(40*A*a**7*b**3/e - 70*A*a**6*b**4*d/e**2 + 84*A*a**5*b**5*d**2/e**3 - 70*A*a**4*b**6*d**3/e**4 + 40*A*a**3*b**7*d**4/e**5 - 15*A*a**2*b**8*d**5/e**6 + 10*A*a*b**9*d**6/(3*e**7) - A*b**10*d**7/(3*e**8) + 15*B*a**8*b**2/e - 40*B*a**7*b**3*d/e**2 + 70*B*a**6*b**4*d**2/e**3 - 84*B*a**5*b**5*d**3/e**4 + 70*B*a**4*b**6*d**4/e**5 - 40*B*a**3*b**7*d**5/e**6 + 15*B*a**2*b**8*d**6/e**7 - 10*B*a*b**9*d**7/(3*e**8) + B*b**10*d**8/(3*e**9)) + x**2*(45*A*a**8*b**2/(2*e) - 60*A*a**7*b**3*d/e**2 + 105*A*a**6*b**4*d**2/e**3 - 126*A*a**5*b**5*d**3/e**4 + 105*A*a**4*b**6*d**4/e**5 - 60*A*a**3*b**7*d**5/e**6 + 45*A*a**2*b**8*d**6/(2*e**7) - 5*A*a*b**9*d**7/e**8 + A*b**10*d**8/(2*e**9) + 5*B*a**9*b/e - 45*B*a**8*b**2*d/(2*e**2) + 60*B*a**7*b**3*d**2/e**3 - 105*B*a**6*b**4*d**3/e**4 + 126*B*a**5*b**5*d**4/e**5 - 105*B*a**4*b**6*d**5/e**6 + 60*B*a**3*b**7*d**6/e**7 - 45*B*a**2*b**8*d**7/(2*e**8) + 5*B*a*b**9*d**8/e**9 - B*b**10*d**9/(2*e**10)) + x*(10*A*a**9*b/e - 45*A*a**8*b**2*d/e**2 + 120*A*a**7*b**3*d**2/e**3 - 210*A*a**6*b**4*d**3/e**4 + 252*A*a**5*b**5*d**4/e**5 - 210*A*a**4*b**6*d**5/e**6 + 120*A*a**3*b**7*d**6/e**7 - 45*A*a**2*b**8*d**7/e**8 + 10*A*a*b**9*d**8/e**9 - A*b**10*d**9/e**10 + B*a**10/e - 10*B*a**9*b*d/e**2 + 45*B*a**8*b**2*d**2/e**3 - 120*B*a**7*b**3*d**3/e**4 + 210*B*a**6*b**4*d**4/e**5 - 252*B*a**5*b**5*d**5/e**6 + 210*B*a**4*b**6*d**6/e**7 - 120*B*a**3*b**7*d**7/e**8 + 45*B*a**2*b**8*d**8/e**9 - 10*B*a*b**9*d**9/e**10 + B*b**10*d**10/e**11) - (-A*e + B*d)*(a*e - b*d)**10*log(d + e*x)/e**12","B",0
1090,1,1974,0,9.686452," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**2,x)","\frac{B b^{10} x^{10}}{10 e^{2}} + x^{9} \left(\frac{A b^{10}}{9 e^{2}} + \frac{10 B a b^{9}}{9 e^{2}} - \frac{2 B b^{10} d}{9 e^{3}}\right) + x^{8} \left(\frac{5 A a b^{9}}{4 e^{2}} - \frac{A b^{10} d}{4 e^{3}} + \frac{45 B a^{2} b^{8}}{8 e^{2}} - \frac{5 B a b^{9} d}{2 e^{3}} + \frac{3 B b^{10} d^{2}}{8 e^{4}}\right) + x^{7} \left(\frac{45 A a^{2} b^{8}}{7 e^{2}} - \frac{20 A a b^{9} d}{7 e^{3}} + \frac{3 A b^{10} d^{2}}{7 e^{4}} + \frac{120 B a^{3} b^{7}}{7 e^{2}} - \frac{90 B a^{2} b^{8} d}{7 e^{3}} + \frac{30 B a b^{9} d^{2}}{7 e^{4}} - \frac{4 B b^{10} d^{3}}{7 e^{5}}\right) + x^{6} \left(\frac{20 A a^{3} b^{7}}{e^{2}} - \frac{15 A a^{2} b^{8} d}{e^{3}} + \frac{5 A a b^{9} d^{2}}{e^{4}} - \frac{2 A b^{10} d^{3}}{3 e^{5}} + \frac{35 B a^{4} b^{6}}{e^{2}} - \frac{40 B a^{3} b^{7} d}{e^{3}} + \frac{45 B a^{2} b^{8} d^{2}}{2 e^{4}} - \frac{20 B a b^{9} d^{3}}{3 e^{5}} + \frac{5 B b^{10} d^{4}}{6 e^{6}}\right) + x^{5} \left(\frac{42 A a^{4} b^{6}}{e^{2}} - \frac{48 A a^{3} b^{7} d}{e^{3}} + \frac{27 A a^{2} b^{8} d^{2}}{e^{4}} - \frac{8 A a b^{9} d^{3}}{e^{5}} + \frac{A b^{10} d^{4}}{e^{6}} + \frac{252 B a^{5} b^{5}}{5 e^{2}} - \frac{84 B a^{4} b^{6} d}{e^{3}} + \frac{72 B a^{3} b^{7} d^{2}}{e^{4}} - \frac{36 B a^{2} b^{8} d^{3}}{e^{5}} + \frac{10 B a b^{9} d^{4}}{e^{6}} - \frac{6 B b^{10} d^{5}}{5 e^{7}}\right) + x^{4} \left(\frac{63 A a^{5} b^{5}}{e^{2}} - \frac{105 A a^{4} b^{6} d}{e^{3}} + \frac{90 A a^{3} b^{7} d^{2}}{e^{4}} - \frac{45 A a^{2} b^{8} d^{3}}{e^{5}} + \frac{25 A a b^{9} d^{4}}{2 e^{6}} - \frac{3 A b^{10} d^{5}}{2 e^{7}} + \frac{105 B a^{6} b^{4}}{2 e^{2}} - \frac{126 B a^{5} b^{5} d}{e^{3}} + \frac{315 B a^{4} b^{6} d^{2}}{2 e^{4}} - \frac{120 B a^{3} b^{7} d^{3}}{e^{5}} + \frac{225 B a^{2} b^{8} d^{4}}{4 e^{6}} - \frac{15 B a b^{9} d^{5}}{e^{7}} + \frac{7 B b^{10} d^{6}}{4 e^{8}}\right) + x^{3} \left(\frac{70 A a^{6} b^{4}}{e^{2}} - \frac{168 A a^{5} b^{5} d}{e^{3}} + \frac{210 A a^{4} b^{6} d^{2}}{e^{4}} - \frac{160 A a^{3} b^{7} d^{3}}{e^{5}} + \frac{75 A a^{2} b^{8} d^{4}}{e^{6}} - \frac{20 A a b^{9} d^{5}}{e^{7}} + \frac{7 A b^{10} d^{6}}{3 e^{8}} + \frac{40 B a^{7} b^{3}}{e^{2}} - \frac{140 B a^{6} b^{4} d}{e^{3}} + \frac{252 B a^{5} b^{5} d^{2}}{e^{4}} - \frac{280 B a^{4} b^{6} d^{3}}{e^{5}} + \frac{200 B a^{3} b^{7} d^{4}}{e^{6}} - \frac{90 B a^{2} b^{8} d^{5}}{e^{7}} + \frac{70 B a b^{9} d^{6}}{3 e^{8}} - \frac{8 B b^{10} d^{7}}{3 e^{9}}\right) + x^{2} \left(\frac{60 A a^{7} b^{3}}{e^{2}} - \frac{210 A a^{6} b^{4} d}{e^{3}} + \frac{378 A a^{5} b^{5} d^{2}}{e^{4}} - \frac{420 A a^{4} b^{6} d^{3}}{e^{5}} + \frac{300 A a^{3} b^{7} d^{4}}{e^{6}} - \frac{135 A a^{2} b^{8} d^{5}}{e^{7}} + \frac{35 A a b^{9} d^{6}}{e^{8}} - \frac{4 A b^{10} d^{7}}{e^{9}} + \frac{45 B a^{8} b^{2}}{2 e^{2}} - \frac{120 B a^{7} b^{3} d}{e^{3}} + \frac{315 B a^{6} b^{4} d^{2}}{e^{4}} - \frac{504 B a^{5} b^{5} d^{3}}{e^{5}} + \frac{525 B a^{4} b^{6} d^{4}}{e^{6}} - \frac{360 B a^{3} b^{7} d^{5}}{e^{7}} + \frac{315 B a^{2} b^{8} d^{6}}{2 e^{8}} - \frac{40 B a b^{9} d^{7}}{e^{9}} + \frac{9 B b^{10} d^{8}}{2 e^{10}}\right) + x \left(\frac{45 A a^{8} b^{2}}{e^{2}} - \frac{240 A a^{7} b^{3} d}{e^{3}} + \frac{630 A a^{6} b^{4} d^{2}}{e^{4}} - \frac{1008 A a^{5} b^{5} d^{3}}{e^{5}} + \frac{1050 A a^{4} b^{6} d^{4}}{e^{6}} - \frac{720 A a^{3} b^{7} d^{5}}{e^{7}} + \frac{315 A a^{2} b^{8} d^{6}}{e^{8}} - \frac{80 A a b^{9} d^{7}}{e^{9}} + \frac{9 A b^{10} d^{8}}{e^{10}} + \frac{10 B a^{9} b}{e^{2}} - \frac{90 B a^{8} b^{2} d}{e^{3}} + \frac{360 B a^{7} b^{3} d^{2}}{e^{4}} - \frac{840 B a^{6} b^{4} d^{3}}{e^{5}} + \frac{1260 B a^{5} b^{5} d^{4}}{e^{6}} - \frac{1260 B a^{4} b^{6} d^{5}}{e^{7}} + \frac{840 B a^{3} b^{7} d^{6}}{e^{8}} - \frac{360 B a^{2} b^{8} d^{7}}{e^{9}} + \frac{90 B a b^{9} d^{8}}{e^{10}} - \frac{10 B b^{10} d^{9}}{e^{11}}\right) + \frac{- A a^{10} e^{11} + 10 A a^{9} b d e^{10} - 45 A a^{8} b^{2} d^{2} e^{9} + 120 A a^{7} b^{3} d^{3} e^{8} - 210 A a^{6} b^{4} d^{4} e^{7} + 252 A a^{5} b^{5} d^{5} e^{6} - 210 A a^{4} b^{6} d^{6} e^{5} + 120 A a^{3} b^{7} d^{7} e^{4} - 45 A a^{2} b^{8} d^{8} e^{3} + 10 A a b^{9} d^{9} e^{2} - A b^{10} d^{10} e + B a^{10} d e^{10} - 10 B a^{9} b d^{2} e^{9} + 45 B a^{8} b^{2} d^{3} e^{8} - 120 B a^{7} b^{3} d^{4} e^{7} + 210 B a^{6} b^{4} d^{5} e^{6} - 252 B a^{5} b^{5} d^{6} e^{5} + 210 B a^{4} b^{6} d^{7} e^{4} - 120 B a^{3} b^{7} d^{8} e^{3} + 45 B a^{2} b^{8} d^{9} e^{2} - 10 B a b^{9} d^{10} e + B b^{10} d^{11}}{d e^{12} + e^{13} x} + \frac{\left(a e - b d\right)^{9} \left(10 A b e + B a e - 11 B b d\right) \log{\left(d + e x \right)}}{e^{12}}"," ",0,"B*b**10*x**10/(10*e**2) + x**9*(A*b**10/(9*e**2) + 10*B*a*b**9/(9*e**2) - 2*B*b**10*d/(9*e**3)) + x**8*(5*A*a*b**9/(4*e**2) - A*b**10*d/(4*e**3) + 45*B*a**2*b**8/(8*e**2) - 5*B*a*b**9*d/(2*e**3) + 3*B*b**10*d**2/(8*e**4)) + x**7*(45*A*a**2*b**8/(7*e**2) - 20*A*a*b**9*d/(7*e**3) + 3*A*b**10*d**2/(7*e**4) + 120*B*a**3*b**7/(7*e**2) - 90*B*a**2*b**8*d/(7*e**3) + 30*B*a*b**9*d**2/(7*e**4) - 4*B*b**10*d**3/(7*e**5)) + x**6*(20*A*a**3*b**7/e**2 - 15*A*a**2*b**8*d/e**3 + 5*A*a*b**9*d**2/e**4 - 2*A*b**10*d**3/(3*e**5) + 35*B*a**4*b**6/e**2 - 40*B*a**3*b**7*d/e**3 + 45*B*a**2*b**8*d**2/(2*e**4) - 20*B*a*b**9*d**3/(3*e**5) + 5*B*b**10*d**4/(6*e**6)) + x**5*(42*A*a**4*b**6/e**2 - 48*A*a**3*b**7*d/e**3 + 27*A*a**2*b**8*d**2/e**4 - 8*A*a*b**9*d**3/e**5 + A*b**10*d**4/e**6 + 252*B*a**5*b**5/(5*e**2) - 84*B*a**4*b**6*d/e**3 + 72*B*a**3*b**7*d**2/e**4 - 36*B*a**2*b**8*d**3/e**5 + 10*B*a*b**9*d**4/e**6 - 6*B*b**10*d**5/(5*e**7)) + x**4*(63*A*a**5*b**5/e**2 - 105*A*a**4*b**6*d/e**3 + 90*A*a**3*b**7*d**2/e**4 - 45*A*a**2*b**8*d**3/e**5 + 25*A*a*b**9*d**4/(2*e**6) - 3*A*b**10*d**5/(2*e**7) + 105*B*a**6*b**4/(2*e**2) - 126*B*a**5*b**5*d/e**3 + 315*B*a**4*b**6*d**2/(2*e**4) - 120*B*a**3*b**7*d**3/e**5 + 225*B*a**2*b**8*d**4/(4*e**6) - 15*B*a*b**9*d**5/e**7 + 7*B*b**10*d**6/(4*e**8)) + x**3*(70*A*a**6*b**4/e**2 - 168*A*a**5*b**5*d/e**3 + 210*A*a**4*b**6*d**2/e**4 - 160*A*a**3*b**7*d**3/e**5 + 75*A*a**2*b**8*d**4/e**6 - 20*A*a*b**9*d**5/e**7 + 7*A*b**10*d**6/(3*e**8) + 40*B*a**7*b**3/e**2 - 140*B*a**6*b**4*d/e**3 + 252*B*a**5*b**5*d**2/e**4 - 280*B*a**4*b**6*d**3/e**5 + 200*B*a**3*b**7*d**4/e**6 - 90*B*a**2*b**8*d**5/e**7 + 70*B*a*b**9*d**6/(3*e**8) - 8*B*b**10*d**7/(3*e**9)) + x**2*(60*A*a**7*b**3/e**2 - 210*A*a**6*b**4*d/e**3 + 378*A*a**5*b**5*d**2/e**4 - 420*A*a**4*b**6*d**3/e**5 + 300*A*a**3*b**7*d**4/e**6 - 135*A*a**2*b**8*d**5/e**7 + 35*A*a*b**9*d**6/e**8 - 4*A*b**10*d**7/e**9 + 45*B*a**8*b**2/(2*e**2) - 120*B*a**7*b**3*d/e**3 + 315*B*a**6*b**4*d**2/e**4 - 504*B*a**5*b**5*d**3/e**5 + 525*B*a**4*b**6*d**4/e**6 - 360*B*a**3*b**7*d**5/e**7 + 315*B*a**2*b**8*d**6/(2*e**8) - 40*B*a*b**9*d**7/e**9 + 9*B*b**10*d**8/(2*e**10)) + x*(45*A*a**8*b**2/e**2 - 240*A*a**7*b**3*d/e**3 + 630*A*a**6*b**4*d**2/e**4 - 1008*A*a**5*b**5*d**3/e**5 + 1050*A*a**4*b**6*d**4/e**6 - 720*A*a**3*b**7*d**5/e**7 + 315*A*a**2*b**8*d**6/e**8 - 80*A*a*b**9*d**7/e**9 + 9*A*b**10*d**8/e**10 + 10*B*a**9*b/e**2 - 90*B*a**8*b**2*d/e**3 + 360*B*a**7*b**3*d**2/e**4 - 840*B*a**6*b**4*d**3/e**5 + 1260*B*a**5*b**5*d**4/e**6 - 1260*B*a**4*b**6*d**5/e**7 + 840*B*a**3*b**7*d**6/e**8 - 360*B*a**2*b**8*d**7/e**9 + 90*B*a*b**9*d**8/e**10 - 10*B*b**10*d**9/e**11) + (-A*a**10*e**11 + 10*A*a**9*b*d*e**10 - 45*A*a**8*b**2*d**2*e**9 + 120*A*a**7*b**3*d**3*e**8 - 210*A*a**6*b**4*d**4*e**7 + 252*A*a**5*b**5*d**5*e**6 - 210*A*a**4*b**6*d**6*e**5 + 120*A*a**3*b**7*d**7*e**4 - 45*A*a**2*b**8*d**8*e**3 + 10*A*a*b**9*d**9*e**2 - A*b**10*d**10*e + B*a**10*d*e**10 - 10*B*a**9*b*d**2*e**9 + 45*B*a**8*b**2*d**3*e**8 - 120*B*a**7*b**3*d**4*e**7 + 210*B*a**6*b**4*d**5*e**6 - 252*B*a**5*b**5*d**6*e**5 + 210*B*a**4*b**6*d**7*e**4 - 120*B*a**3*b**7*d**8*e**3 + 45*B*a**2*b**8*d**9*e**2 - 10*B*a*b**9*d**10*e + B*b**10*d**11)/(d*e**12 + e**13*x) + (a*e - b*d)**9*(10*A*b*e + B*a*e - 11*B*b*d)*log(d + e*x)/e**12","B",0
1091,1,2004,0,42.788815," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**3,x)","\frac{B b^{10} x^{9}}{9 e^{3}} + \frac{5 b \left(a e - b d\right)^{8} \left(9 A b e + 2 B a e - 11 B b d\right) \log{\left(d + e x \right)}}{e^{12}} + x^{8} \left(\frac{A b^{10}}{8 e^{3}} + \frac{5 B a b^{9}}{4 e^{3}} - \frac{3 B b^{10} d}{8 e^{4}}\right) + x^{7} \left(\frac{10 A a b^{9}}{7 e^{3}} - \frac{3 A b^{10} d}{7 e^{4}} + \frac{45 B a^{2} b^{8}}{7 e^{3}} - \frac{30 B a b^{9} d}{7 e^{4}} + \frac{6 B b^{10} d^{2}}{7 e^{5}}\right) + x^{6} \left(\frac{15 A a^{2} b^{8}}{2 e^{3}} - \frac{5 A a b^{9} d}{e^{4}} + \frac{A b^{10} d^{2}}{e^{5}} + \frac{20 B a^{3} b^{7}}{e^{3}} - \frac{45 B a^{2} b^{8} d}{2 e^{4}} + \frac{10 B a b^{9} d^{2}}{e^{5}} - \frac{5 B b^{10} d^{3}}{3 e^{6}}\right) + x^{5} \left(\frac{24 A a^{3} b^{7}}{e^{3}} - \frac{27 A a^{2} b^{8} d}{e^{4}} + \frac{12 A a b^{9} d^{2}}{e^{5}} - \frac{2 A b^{10} d^{3}}{e^{6}} + \frac{42 B a^{4} b^{6}}{e^{3}} - \frac{72 B a^{3} b^{7} d}{e^{4}} + \frac{54 B a^{2} b^{8} d^{2}}{e^{5}} - \frac{20 B a b^{9} d^{3}}{e^{6}} + \frac{3 B b^{10} d^{4}}{e^{7}}\right) + x^{4} \left(\frac{105 A a^{4} b^{6}}{2 e^{3}} - \frac{90 A a^{3} b^{7} d}{e^{4}} + \frac{135 A a^{2} b^{8} d^{2}}{2 e^{5}} - \frac{25 A a b^{9} d^{3}}{e^{6}} + \frac{15 A b^{10} d^{4}}{4 e^{7}} + \frac{63 B a^{5} b^{5}}{e^{3}} - \frac{315 B a^{4} b^{6} d}{2 e^{4}} + \frac{180 B a^{3} b^{7} d^{2}}{e^{5}} - \frac{225 B a^{2} b^{8} d^{3}}{2 e^{6}} + \frac{75 B a b^{9} d^{4}}{2 e^{7}} - \frac{21 B b^{10} d^{5}}{4 e^{8}}\right) + x^{3} \left(\frac{84 A a^{5} b^{5}}{e^{3}} - \frac{210 A a^{4} b^{6} d}{e^{4}} + \frac{240 A a^{3} b^{7} d^{2}}{e^{5}} - \frac{150 A a^{2} b^{8} d^{3}}{e^{6}} + \frac{50 A a b^{9} d^{4}}{e^{7}} - \frac{7 A b^{10} d^{5}}{e^{8}} + \frac{70 B a^{6} b^{4}}{e^{3}} - \frac{252 B a^{5} b^{5} d}{e^{4}} + \frac{420 B a^{4} b^{6} d^{2}}{e^{5}} - \frac{400 B a^{3} b^{7} d^{3}}{e^{6}} + \frac{225 B a^{2} b^{8} d^{4}}{e^{7}} - \frac{70 B a b^{9} d^{5}}{e^{8}} + \frac{28 B b^{10} d^{6}}{3 e^{9}}\right) + x^{2} \left(\frac{105 A a^{6} b^{4}}{e^{3}} - \frac{378 A a^{5} b^{5} d}{e^{4}} + \frac{630 A a^{4} b^{6} d^{2}}{e^{5}} - \frac{600 A a^{3} b^{7} d^{3}}{e^{6}} + \frac{675 A a^{2} b^{8} d^{4}}{2 e^{7}} - \frac{105 A a b^{9} d^{5}}{e^{8}} + \frac{14 A b^{10} d^{6}}{e^{9}} + \frac{60 B a^{7} b^{3}}{e^{3}} - \frac{315 B a^{6} b^{4} d}{e^{4}} + \frac{756 B a^{5} b^{5} d^{2}}{e^{5}} - \frac{1050 B a^{4} b^{6} d^{3}}{e^{6}} + \frac{900 B a^{3} b^{7} d^{4}}{e^{7}} - \frac{945 B a^{2} b^{8} d^{5}}{2 e^{8}} + \frac{140 B a b^{9} d^{6}}{e^{9}} - \frac{18 B b^{10} d^{7}}{e^{10}}\right) + x \left(\frac{120 A a^{7} b^{3}}{e^{3}} - \frac{630 A a^{6} b^{4} d}{e^{4}} + \frac{1512 A a^{5} b^{5} d^{2}}{e^{5}} - \frac{2100 A a^{4} b^{6} d^{3}}{e^{6}} + \frac{1800 A a^{3} b^{7} d^{4}}{e^{7}} - \frac{945 A a^{2} b^{8} d^{5}}{e^{8}} + \frac{280 A a b^{9} d^{6}}{e^{9}} - \frac{36 A b^{10} d^{7}}{e^{10}} + \frac{45 B a^{8} b^{2}}{e^{3}} - \frac{360 B a^{7} b^{3} d}{e^{4}} + \frac{1260 B a^{6} b^{4} d^{2}}{e^{5}} - \frac{2520 B a^{5} b^{5} d^{3}}{e^{6}} + \frac{3150 B a^{4} b^{6} d^{4}}{e^{7}} - \frac{2520 B a^{3} b^{7} d^{5}}{e^{8}} + \frac{1260 B a^{2} b^{8} d^{6}}{e^{9}} - \frac{360 B a b^{9} d^{7}}{e^{10}} + \frac{45 B b^{10} d^{8}}{e^{11}}\right) + \frac{- A a^{10} e^{11} - 10 A a^{9} b d e^{10} + 135 A a^{8} b^{2} d^{2} e^{9} - 600 A a^{7} b^{3} d^{3} e^{8} + 1470 A a^{6} b^{4} d^{4} e^{7} - 2268 A a^{5} b^{5} d^{5} e^{6} + 2310 A a^{4} b^{6} d^{6} e^{5} - 1560 A a^{3} b^{7} d^{7} e^{4} + 675 A a^{2} b^{8} d^{8} e^{3} - 170 A a b^{9} d^{9} e^{2} + 19 A b^{10} d^{10} e - B a^{10} d e^{10} + 30 B a^{9} b d^{2} e^{9} - 225 B a^{8} b^{2} d^{3} e^{8} + 840 B a^{7} b^{3} d^{4} e^{7} - 1890 B a^{6} b^{4} d^{5} e^{6} + 2772 B a^{5} b^{5} d^{6} e^{5} - 2730 B a^{4} b^{6} d^{7} e^{4} + 1800 B a^{3} b^{7} d^{8} e^{3} - 765 B a^{2} b^{8} d^{9} e^{2} + 190 B a b^{9} d^{10} e - 21 B b^{10} d^{11} + x \left(- 20 A a^{9} b e^{11} + 180 A a^{8} b^{2} d e^{10} - 720 A a^{7} b^{3} d^{2} e^{9} + 1680 A a^{6} b^{4} d^{3} e^{8} - 2520 A a^{5} b^{5} d^{4} e^{7} + 2520 A a^{4} b^{6} d^{5} e^{6} - 1680 A a^{3} b^{7} d^{6} e^{5} + 720 A a^{2} b^{8} d^{7} e^{4} - 180 A a b^{9} d^{8} e^{3} + 20 A b^{10} d^{9} e^{2} - 2 B a^{10} e^{11} + 40 B a^{9} b d e^{10} - 270 B a^{8} b^{2} d^{2} e^{9} + 960 B a^{7} b^{3} d^{3} e^{8} - 2100 B a^{6} b^{4} d^{4} e^{7} + 3024 B a^{5} b^{5} d^{5} e^{6} - 2940 B a^{4} b^{6} d^{6} e^{5} + 1920 B a^{3} b^{7} d^{7} e^{4} - 810 B a^{2} b^{8} d^{8} e^{3} + 200 B a b^{9} d^{9} e^{2} - 22 B b^{10} d^{10} e\right)}{2 d^{2} e^{12} + 4 d e^{13} x + 2 e^{14} x^{2}}"," ",0,"B*b**10*x**9/(9*e**3) + 5*b*(a*e - b*d)**8*(9*A*b*e + 2*B*a*e - 11*B*b*d)*log(d + e*x)/e**12 + x**8*(A*b**10/(8*e**3) + 5*B*a*b**9/(4*e**3) - 3*B*b**10*d/(8*e**4)) + x**7*(10*A*a*b**9/(7*e**3) - 3*A*b**10*d/(7*e**4) + 45*B*a**2*b**8/(7*e**3) - 30*B*a*b**9*d/(7*e**4) + 6*B*b**10*d**2/(7*e**5)) + x**6*(15*A*a**2*b**8/(2*e**3) - 5*A*a*b**9*d/e**4 + A*b**10*d**2/e**5 + 20*B*a**3*b**7/e**3 - 45*B*a**2*b**8*d/(2*e**4) + 10*B*a*b**9*d**2/e**5 - 5*B*b**10*d**3/(3*e**6)) + x**5*(24*A*a**3*b**7/e**3 - 27*A*a**2*b**8*d/e**4 + 12*A*a*b**9*d**2/e**5 - 2*A*b**10*d**3/e**6 + 42*B*a**4*b**6/e**3 - 72*B*a**3*b**7*d/e**4 + 54*B*a**2*b**8*d**2/e**5 - 20*B*a*b**9*d**3/e**6 + 3*B*b**10*d**4/e**7) + x**4*(105*A*a**4*b**6/(2*e**3) - 90*A*a**3*b**7*d/e**4 + 135*A*a**2*b**8*d**2/(2*e**5) - 25*A*a*b**9*d**3/e**6 + 15*A*b**10*d**4/(4*e**7) + 63*B*a**5*b**5/e**3 - 315*B*a**4*b**6*d/(2*e**4) + 180*B*a**3*b**7*d**2/e**5 - 225*B*a**2*b**8*d**3/(2*e**6) + 75*B*a*b**9*d**4/(2*e**7) - 21*B*b**10*d**5/(4*e**8)) + x**3*(84*A*a**5*b**5/e**3 - 210*A*a**4*b**6*d/e**4 + 240*A*a**3*b**7*d**2/e**5 - 150*A*a**2*b**8*d**3/e**6 + 50*A*a*b**9*d**4/e**7 - 7*A*b**10*d**5/e**8 + 70*B*a**6*b**4/e**3 - 252*B*a**5*b**5*d/e**4 + 420*B*a**4*b**6*d**2/e**5 - 400*B*a**3*b**7*d**3/e**6 + 225*B*a**2*b**8*d**4/e**7 - 70*B*a*b**9*d**5/e**8 + 28*B*b**10*d**6/(3*e**9)) + x**2*(105*A*a**6*b**4/e**3 - 378*A*a**5*b**5*d/e**4 + 630*A*a**4*b**6*d**2/e**5 - 600*A*a**3*b**7*d**3/e**6 + 675*A*a**2*b**8*d**4/(2*e**7) - 105*A*a*b**9*d**5/e**8 + 14*A*b**10*d**6/e**9 + 60*B*a**7*b**3/e**3 - 315*B*a**6*b**4*d/e**4 + 756*B*a**5*b**5*d**2/e**5 - 1050*B*a**4*b**6*d**3/e**6 + 900*B*a**3*b**7*d**4/e**7 - 945*B*a**2*b**8*d**5/(2*e**8) + 140*B*a*b**9*d**6/e**9 - 18*B*b**10*d**7/e**10) + x*(120*A*a**7*b**3/e**3 - 630*A*a**6*b**4*d/e**4 + 1512*A*a**5*b**5*d**2/e**5 - 2100*A*a**4*b**6*d**3/e**6 + 1800*A*a**3*b**7*d**4/e**7 - 945*A*a**2*b**8*d**5/e**8 + 280*A*a*b**9*d**6/e**9 - 36*A*b**10*d**7/e**10 + 45*B*a**8*b**2/e**3 - 360*B*a**7*b**3*d/e**4 + 1260*B*a**6*b**4*d**2/e**5 - 2520*B*a**5*b**5*d**3/e**6 + 3150*B*a**4*b**6*d**4/e**7 - 2520*B*a**3*b**7*d**5/e**8 + 1260*B*a**2*b**8*d**6/e**9 - 360*B*a*b**9*d**7/e**10 + 45*B*b**10*d**8/e**11) + (-A*a**10*e**11 - 10*A*a**9*b*d*e**10 + 135*A*a**8*b**2*d**2*e**9 - 600*A*a**7*b**3*d**3*e**8 + 1470*A*a**6*b**4*d**4*e**7 - 2268*A*a**5*b**5*d**5*e**6 + 2310*A*a**4*b**6*d**6*e**5 - 1560*A*a**3*b**7*d**7*e**4 + 675*A*a**2*b**8*d**8*e**3 - 170*A*a*b**9*d**9*e**2 + 19*A*b**10*d**10*e - B*a**10*d*e**10 + 30*B*a**9*b*d**2*e**9 - 225*B*a**8*b**2*d**3*e**8 + 840*B*a**7*b**3*d**4*e**7 - 1890*B*a**6*b**4*d**5*e**6 + 2772*B*a**5*b**5*d**6*e**5 - 2730*B*a**4*b**6*d**7*e**4 + 1800*B*a**3*b**7*d**8*e**3 - 765*B*a**2*b**8*d**9*e**2 + 190*B*a*b**9*d**10*e - 21*B*b**10*d**11 + x*(-20*A*a**9*b*e**11 + 180*A*a**8*b**2*d*e**10 - 720*A*a**7*b**3*d**2*e**9 + 1680*A*a**6*b**4*d**3*e**8 - 2520*A*a**5*b**5*d**4*e**7 + 2520*A*a**4*b**6*d**5*e**6 - 1680*A*a**3*b**7*d**6*e**5 + 720*A*a**2*b**8*d**7*e**4 - 180*A*a*b**9*d**8*e**3 + 20*A*b**10*d**9*e**2 - 2*B*a**10*e**11 + 40*B*a**9*b*d*e**10 - 270*B*a**8*b**2*d**2*e**9 + 960*B*a**7*b**3*d**3*e**8 - 2100*B*a**6*b**4*d**4*e**7 + 3024*B*a**5*b**5*d**5*e**6 - 2940*B*a**4*b**6*d**6*e**5 + 1920*B*a**3*b**7*d**7*e**4 - 810*B*a**2*b**8*d**8*e**3 + 200*B*a*b**9*d**9*e**2 - 22*B*b**10*d**10*e))/(2*d**2*e**12 + 4*d*e**13*x + 2*e**14*x**2)","B",0
1092,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1093,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1094,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1095,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1096,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1097,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1098,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1099,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**11,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1100,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1101,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1102,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**14,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1103,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**15,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1104,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**16,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1105,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**17,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1106,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**18,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1107,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**19,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1108,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**20,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1109,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**21,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1110,-1,0,0,0.000000," ","integrate((b*x+a)**10*(B*x+A)/(e*x+d)**22,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1111,1,534,0,1.373852," ","integrate((B*x+A)*(e*x+d)**5/(b*x+a),x)","\frac{B e^{5} x^{6}}{6 b} + x^{5} \left(\frac{A e^{5}}{5 b} - \frac{B a e^{5}}{5 b^{2}} + \frac{B d e^{4}}{b}\right) + x^{4} \left(- \frac{A a e^{5}}{4 b^{2}} + \frac{5 A d e^{4}}{4 b} + \frac{B a^{2} e^{5}}{4 b^{3}} - \frac{5 B a d e^{4}}{4 b^{2}} + \frac{5 B d^{2} e^{3}}{2 b}\right) + x^{3} \left(\frac{A a^{2} e^{5}}{3 b^{3}} - \frac{5 A a d e^{4}}{3 b^{2}} + \frac{10 A d^{2} e^{3}}{3 b} - \frac{B a^{3} e^{5}}{3 b^{4}} + \frac{5 B a^{2} d e^{4}}{3 b^{3}} - \frac{10 B a d^{2} e^{3}}{3 b^{2}} + \frac{10 B d^{3} e^{2}}{3 b}\right) + x^{2} \left(- \frac{A a^{3} e^{5}}{2 b^{4}} + \frac{5 A a^{2} d e^{4}}{2 b^{3}} - \frac{5 A a d^{2} e^{3}}{b^{2}} + \frac{5 A d^{3} e^{2}}{b} + \frac{B a^{4} e^{5}}{2 b^{5}} - \frac{5 B a^{3} d e^{4}}{2 b^{4}} + \frac{5 B a^{2} d^{2} e^{3}}{b^{3}} - \frac{5 B a d^{3} e^{2}}{b^{2}} + \frac{5 B d^{4} e}{2 b}\right) + x \left(\frac{A a^{4} e^{5}}{b^{5}} - \frac{5 A a^{3} d e^{4}}{b^{4}} + \frac{10 A a^{2} d^{2} e^{3}}{b^{3}} - \frac{10 A a d^{3} e^{2}}{b^{2}} + \frac{5 A d^{4} e}{b} - \frac{B a^{5} e^{5}}{b^{6}} + \frac{5 B a^{4} d e^{4}}{b^{5}} - \frac{10 B a^{3} d^{2} e^{3}}{b^{4}} + \frac{10 B a^{2} d^{3} e^{2}}{b^{3}} - \frac{5 B a d^{4} e}{b^{2}} + \frac{B d^{5}}{b}\right) + \frac{\left(- A b + B a\right) \left(a e - b d\right)^{5} \log{\left(a + b x \right)}}{b^{7}}"," ",0,"B*e**5*x**6/(6*b) + x**5*(A*e**5/(5*b) - B*a*e**5/(5*b**2) + B*d*e**4/b) + x**4*(-A*a*e**5/(4*b**2) + 5*A*d*e**4/(4*b) + B*a**2*e**5/(4*b**3) - 5*B*a*d*e**4/(4*b**2) + 5*B*d**2*e**3/(2*b)) + x**3*(A*a**2*e**5/(3*b**3) - 5*A*a*d*e**4/(3*b**2) + 10*A*d**2*e**3/(3*b) - B*a**3*e**5/(3*b**4) + 5*B*a**2*d*e**4/(3*b**3) - 10*B*a*d**2*e**3/(3*b**2) + 10*B*d**3*e**2/(3*b)) + x**2*(-A*a**3*e**5/(2*b**4) + 5*A*a**2*d*e**4/(2*b**3) - 5*A*a*d**2*e**3/b**2 + 5*A*d**3*e**2/b + B*a**4*e**5/(2*b**5) - 5*B*a**3*d*e**4/(2*b**4) + 5*B*a**2*d**2*e**3/b**3 - 5*B*a*d**3*e**2/b**2 + 5*B*d**4*e/(2*b)) + x*(A*a**4*e**5/b**5 - 5*A*a**3*d*e**4/b**4 + 10*A*a**2*d**2*e**3/b**3 - 10*A*a*d**3*e**2/b**2 + 5*A*d**4*e/b - B*a**5*e**5/b**6 + 5*B*a**4*d*e**4/b**5 - 10*B*a**3*d**2*e**3/b**4 + 10*B*a**2*d**3*e**2/b**3 - 5*B*a*d**4*e/b**2 + B*d**5/b) + (-A*b + B*a)*(a*e - b*d)**5*log(a + b*x)/b**7","B",0
1112,1,352,0,1.025762," ","integrate((B*x+A)*(e*x+d)**4/(b*x+a),x)","\frac{B e^{4} x^{5}}{5 b} + x^{4} \left(\frac{A e^{4}}{4 b} - \frac{B a e^{4}}{4 b^{2}} + \frac{B d e^{3}}{b}\right) + x^{3} \left(- \frac{A a e^{4}}{3 b^{2}} + \frac{4 A d e^{3}}{3 b} + \frac{B a^{2} e^{4}}{3 b^{3}} - \frac{4 B a d e^{3}}{3 b^{2}} + \frac{2 B d^{2} e^{2}}{b}\right) + x^{2} \left(\frac{A a^{2} e^{4}}{2 b^{3}} - \frac{2 A a d e^{3}}{b^{2}} + \frac{3 A d^{2} e^{2}}{b} - \frac{B a^{3} e^{4}}{2 b^{4}} + \frac{2 B a^{2} d e^{3}}{b^{3}} - \frac{3 B a d^{2} e^{2}}{b^{2}} + \frac{2 B d^{3} e}{b}\right) + x \left(- \frac{A a^{3} e^{4}}{b^{4}} + \frac{4 A a^{2} d e^{3}}{b^{3}} - \frac{6 A a d^{2} e^{2}}{b^{2}} + \frac{4 A d^{3} e}{b} + \frac{B a^{4} e^{4}}{b^{5}} - \frac{4 B a^{3} d e^{3}}{b^{4}} + \frac{6 B a^{2} d^{2} e^{2}}{b^{3}} - \frac{4 B a d^{3} e}{b^{2}} + \frac{B d^{4}}{b}\right) - \frac{\left(- A b + B a\right) \left(a e - b d\right)^{4} \log{\left(a + b x \right)}}{b^{6}}"," ",0,"B*e**4*x**5/(5*b) + x**4*(A*e**4/(4*b) - B*a*e**4/(4*b**2) + B*d*e**3/b) + x**3*(-A*a*e**4/(3*b**2) + 4*A*d*e**3/(3*b) + B*a**2*e**4/(3*b**3) - 4*B*a*d*e**3/(3*b**2) + 2*B*d**2*e**2/b) + x**2*(A*a**2*e**4/(2*b**3) - 2*A*a*d*e**3/b**2 + 3*A*d**2*e**2/b - B*a**3*e**4/(2*b**4) + 2*B*a**2*d*e**3/b**3 - 3*B*a*d**2*e**2/b**2 + 2*B*d**3*e/b) + x*(-A*a**3*e**4/b**4 + 4*A*a**2*d*e**3/b**3 - 6*A*a*d**2*e**2/b**2 + 4*A*d**3*e/b + B*a**4*e**4/b**5 - 4*B*a**3*d*e**3/b**4 + 6*B*a**2*d**2*e**2/b**3 - 4*B*a*d**3*e/b**2 + B*d**4/b) - (-A*b + B*a)*(a*e - b*d)**4*log(a + b*x)/b**6","B",0
1113,1,221,0,0.731604," ","integrate((B*x+A)*(e*x+d)**3/(b*x+a),x)","\frac{B e^{3} x^{4}}{4 b} + x^{3} \left(\frac{A e^{3}}{3 b} - \frac{B a e^{3}}{3 b^{2}} + \frac{B d e^{2}}{b}\right) + x^{2} \left(- \frac{A a e^{3}}{2 b^{2}} + \frac{3 A d e^{2}}{2 b} + \frac{B a^{2} e^{3}}{2 b^{3}} - \frac{3 B a d e^{2}}{2 b^{2}} + \frac{3 B d^{2} e}{2 b}\right) + x \left(\frac{A a^{2} e^{3}}{b^{3}} - \frac{3 A a d e^{2}}{b^{2}} + \frac{3 A d^{2} e}{b} - \frac{B a^{3} e^{3}}{b^{4}} + \frac{3 B a^{2} d e^{2}}{b^{3}} - \frac{3 B a d^{2} e}{b^{2}} + \frac{B d^{3}}{b}\right) + \frac{\left(- A b + B a\right) \left(a e - b d\right)^{3} \log{\left(a + b x \right)}}{b^{5}}"," ",0,"B*e**3*x**4/(4*b) + x**3*(A*e**3/(3*b) - B*a*e**3/(3*b**2) + B*d*e**2/b) + x**2*(-A*a*e**3/(2*b**2) + 3*A*d*e**2/(2*b) + B*a**2*e**3/(2*b**3) - 3*B*a*d*e**2/(2*b**2) + 3*B*d**2*e/(2*b)) + x*(A*a**2*e**3/b**3 - 3*A*a*d*e**2/b**2 + 3*A*d**2*e/b - B*a**3*e**3/b**4 + 3*B*a**2*d*e**2/b**3 - 3*B*a*d**2*e/b**2 + B*d**3/b) + (-A*b + B*a)*(a*e - b*d)**3*log(a + b*x)/b**5","B",0
1114,1,117,0,0.494114," ","integrate((B*x+A)*(e*x+d)**2/(b*x+a),x)","\frac{B e^{2} x^{3}}{3 b} + x^{2} \left(\frac{A e^{2}}{2 b} - \frac{B a e^{2}}{2 b^{2}} + \frac{B d e}{b}\right) + x \left(- \frac{A a e^{2}}{b^{2}} + \frac{2 A d e}{b} + \frac{B a^{2} e^{2}}{b^{3}} - \frac{2 B a d e}{b^{2}} + \frac{B d^{2}}{b}\right) - \frac{\left(- A b + B a\right) \left(a e - b d\right)^{2} \log{\left(a + b x \right)}}{b^{4}}"," ",0,"B*e**2*x**3/(3*b) + x**2*(A*e**2/(2*b) - B*a*e**2/(2*b**2) + B*d*e/b) + x*(-A*a*e**2/b**2 + 2*A*d*e/b + B*a**2*e**2/b**3 - 2*B*a*d*e/b**2 + B*d**2/b) - (-A*b + B*a)*(a*e - b*d)**2*log(a + b*x)/b**4","A",0
1115,1,53,0,0.281437," ","integrate((B*x+A)*(e*x+d)/(b*x+a),x)","\frac{B e x^{2}}{2 b} + x \left(\frac{A e}{b} - \frac{B a e}{b^{2}} + \frac{B d}{b}\right) + \frac{\left(- A b + B a\right) \left(a e - b d\right) \log{\left(a + b x \right)}}{b^{3}}"," ",0,"B*e*x**2/(2*b) + x*(A*e/b - B*a*e/b**2 + B*d/b) + (-A*b + B*a)*(a*e - b*d)*log(a + b*x)/b**3","A",0
1116,1,20,0,0.151502," ","integrate((B*x+A)/(b*x+a),x)","\frac{B x}{b} - \frac{\left(- A b + B a\right) \log{\left(a + b x \right)}}{b^{2}}"," ",0,"B*x/b - (-A*b + B*a)*log(a + b*x)/b**2","A",0
1117,1,226,0,1.558042," ","integrate((B*x+A)/(b*x+a)/(e*x+d),x)","- \frac{\left(- A e + B d\right) \log{\left(x + \frac{- A a e - A b d + 2 B a d - \frac{a^{2} e \left(- A e + B d\right)}{a e - b d} + \frac{2 a b d \left(- A e + B d\right)}{a e - b d} - \frac{b^{2} d^{2} \left(- A e + B d\right)}{e \left(a e - b d\right)}}{- 2 A b e + B a e + B b d} \right)}}{e \left(a e - b d\right)} + \frac{\left(- A b + B a\right) \log{\left(x + \frac{- A a e - A b d + 2 B a d + \frac{a^{2} e^{2} \left(- A b + B a\right)}{b \left(a e - b d\right)} - \frac{2 a d e \left(- A b + B a\right)}{a e - b d} + \frac{b d^{2} \left(- A b + B a\right)}{a e - b d}}{- 2 A b e + B a e + B b d} \right)}}{b \left(a e - b d\right)}"," ",0,"-(-A*e + B*d)*log(x + (-A*a*e - A*b*d + 2*B*a*d - a**2*e*(-A*e + B*d)/(a*e - b*d) + 2*a*b*d*(-A*e + B*d)/(a*e - b*d) - b**2*d**2*(-A*e + B*d)/(e*(a*e - b*d)))/(-2*A*b*e + B*a*e + B*b*d))/(e*(a*e - b*d)) + (-A*b + B*a)*log(x + (-A*a*e - A*b*d + 2*B*a*d + a**2*e**2*(-A*b + B*a)/(b*(a*e - b*d)) - 2*a*d*e*(-A*b + B*a)/(a*e - b*d) + b*d**2*(-A*b + B*a)/(a*e - b*d))/(-2*A*b*e + B*a*e + B*b*d))/(b*(a*e - b*d))","B",0
1118,1,355,0,1.221326," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**2,x)","\frac{\left(- A b + B a\right) \log{\left(x + \frac{- A a b e - A b^{2} d + B a^{2} e + B a b d - \frac{a^{3} e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{2}} + \frac{3 a^{2} b d e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{2}} - \frac{3 a b^{2} d^{2} e \left(- A b + B a\right)}{\left(a e - b d\right)^{2}} + \frac{b^{3} d^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{2}}}{- 2 A b^{2} e + 2 B a b e} \right)}}{\left(a e - b d\right)^{2}} - \frac{\left(- A b + B a\right) \log{\left(x + \frac{- A a b e - A b^{2} d + B a^{2} e + B a b d + \frac{a^{3} e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{2}} - \frac{3 a^{2} b d e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{2}} + \frac{3 a b^{2} d^{2} e \left(- A b + B a\right)}{\left(a e - b d\right)^{2}} - \frac{b^{3} d^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{2}}}{- 2 A b^{2} e + 2 B a b e} \right)}}{\left(a e - b d\right)^{2}} + \frac{- A e + B d}{a d e^{2} - b d^{2} e + x \left(a e^{3} - b d e^{2}\right)}"," ",0,"(-A*b + B*a)*log(x + (-A*a*b*e - A*b**2*d + B*a**2*e + B*a*b*d - a**3*e**3*(-A*b + B*a)/(a*e - b*d)**2 + 3*a**2*b*d*e**2*(-A*b + B*a)/(a*e - b*d)**2 - 3*a*b**2*d**2*e*(-A*b + B*a)/(a*e - b*d)**2 + b**3*d**3*(-A*b + B*a)/(a*e - b*d)**2)/(-2*A*b**2*e + 2*B*a*b*e))/(a*e - b*d)**2 - (-A*b + B*a)*log(x + (-A*a*b*e - A*b**2*d + B*a**2*e + B*a*b*d + a**3*e**3*(-A*b + B*a)/(a*e - b*d)**2 - 3*a**2*b*d*e**2*(-A*b + B*a)/(a*e - b*d)**2 + 3*a*b**2*d**2*e*(-A*b + B*a)/(a*e - b*d)**2 - b**3*d**3*(-A*b + B*a)/(a*e - b*d)**2)/(-2*A*b**2*e + 2*B*a*b*e))/(a*e - b*d)**2 + (-A*e + B*d)/(a*d*e**2 - b*d**2*e + x*(a*e**3 - b*d*e**2))","B",0
1119,1,558,0,2.101893," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**3,x)","- \frac{b \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{2} e - A b^{3} d + B a^{2} b e + B a b^{2} d - \frac{a^{4} b e^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} + \frac{4 a^{3} b^{2} d e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} - \frac{6 a^{2} b^{3} d^{2} e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} + \frac{4 a b^{4} d^{3} e \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} - \frac{b^{5} d^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}}}{- 2 A b^{3} e + 2 B a b^{2} e} \right)}}{\left(a e - b d\right)^{3}} + \frac{b \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{2} e - A b^{3} d + B a^{2} b e + B a b^{2} d + \frac{a^{4} b e^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} - \frac{4 a^{3} b^{2} d e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} + \frac{6 a^{2} b^{3} d^{2} e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} - \frac{4 a b^{4} d^{3} e \left(- A b + B a\right)}{\left(a e - b d\right)^{3}} + \frac{b^{5} d^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{3}}}{- 2 A b^{3} e + 2 B a b^{2} e} \right)}}{\left(a e - b d\right)^{3}} + \frac{- A a e^{2} + 3 A b d e - B a d e - B b d^{2} + x \left(2 A b e^{2} - 2 B a e^{2}\right)}{2 a^{2} d^{2} e^{3} - 4 a b d^{3} e^{2} + 2 b^{2} d^{4} e + x^{2} \left(2 a^{2} e^{5} - 4 a b d e^{4} + 2 b^{2} d^{2} e^{3}\right) + x \left(4 a^{2} d e^{4} - 8 a b d^{2} e^{3} + 4 b^{2} d^{3} e^{2}\right)}"," ",0,"-b*(-A*b + B*a)*log(x + (-A*a*b**2*e - A*b**3*d + B*a**2*b*e + B*a*b**2*d - a**4*b*e**4*(-A*b + B*a)/(a*e - b*d)**3 + 4*a**3*b**2*d*e**3*(-A*b + B*a)/(a*e - b*d)**3 - 6*a**2*b**3*d**2*e**2*(-A*b + B*a)/(a*e - b*d)**3 + 4*a*b**4*d**3*e*(-A*b + B*a)/(a*e - b*d)**3 - b**5*d**4*(-A*b + B*a)/(a*e - b*d)**3)/(-2*A*b**3*e + 2*B*a*b**2*e))/(a*e - b*d)**3 + b*(-A*b + B*a)*log(x + (-A*a*b**2*e - A*b**3*d + B*a**2*b*e + B*a*b**2*d + a**4*b*e**4*(-A*b + B*a)/(a*e - b*d)**3 - 4*a**3*b**2*d*e**3*(-A*b + B*a)/(a*e - b*d)**3 + 6*a**2*b**3*d**2*e**2*(-A*b + B*a)/(a*e - b*d)**3 - 4*a*b**4*d**3*e*(-A*b + B*a)/(a*e - b*d)**3 + b**5*d**4*(-A*b + B*a)/(a*e - b*d)**3)/(-2*A*b**3*e + 2*B*a*b**2*e))/(a*e - b*d)**3 + (-A*a*e**2 + 3*A*b*d*e - B*a*d*e - B*b*d**2 + x*(2*A*b*e**2 - 2*B*a*e**2))/(2*a**2*d**2*e**3 - 4*a*b*d**3*e**2 + 2*b**2*d**4*e + x**2*(2*a**2*e**5 - 4*a*b*d*e**4 + 2*b**2*d**2*e**3) + x*(4*a**2*d*e**4 - 8*a*b*d**2*e**3 + 4*b**2*d**3*e**2))","B",0
1120,1,818,0,3.025393," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**4,x)","\frac{b^{2} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{3} e - A b^{4} d + B a^{2} b^{2} e + B a b^{3} d - \frac{a^{5} b^{2} e^{5} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} + \frac{5 a^{4} b^{3} d e^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} - \frac{10 a^{3} b^{4} d^{2} e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} + \frac{10 a^{2} b^{5} d^{3} e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} - \frac{5 a b^{6} d^{4} e \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} + \frac{b^{7} d^{5} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}}}{- 2 A b^{4} e + 2 B a b^{3} e} \right)}}{\left(a e - b d\right)^{4}} - \frac{b^{2} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{3} e - A b^{4} d + B a^{2} b^{2} e + B a b^{3} d + \frac{a^{5} b^{2} e^{5} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} - \frac{5 a^{4} b^{3} d e^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} + \frac{10 a^{3} b^{4} d^{2} e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} - \frac{10 a^{2} b^{5} d^{3} e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} + \frac{5 a b^{6} d^{4} e \left(- A b + B a\right)}{\left(a e - b d\right)^{4}} - \frac{b^{7} d^{5} \left(- A b + B a\right)}{\left(a e - b d\right)^{4}}}{- 2 A b^{4} e + 2 B a b^{3} e} \right)}}{\left(a e - b d\right)^{4}} + \frac{- 2 A a^{2} e^{3} + 7 A a b d e^{2} - 11 A b^{2} d^{2} e - B a^{2} d e^{2} + 5 B a b d^{2} e + 2 B b^{2} d^{3} + x^{2} \left(- 6 A b^{2} e^{3} + 6 B a b e^{3}\right) + x \left(3 A a b e^{3} - 15 A b^{2} d e^{2} - 3 B a^{2} e^{3} + 15 B a b d e^{2}\right)}{6 a^{3} d^{3} e^{4} - 18 a^{2} b d^{4} e^{3} + 18 a b^{2} d^{5} e^{2} - 6 b^{3} d^{6} e + x^{3} \left(6 a^{3} e^{7} - 18 a^{2} b d e^{6} + 18 a b^{2} d^{2} e^{5} - 6 b^{3} d^{3} e^{4}\right) + x^{2} \left(18 a^{3} d e^{6} - 54 a^{2} b d^{2} e^{5} + 54 a b^{2} d^{3} e^{4} - 18 b^{3} d^{4} e^{3}\right) + x \left(18 a^{3} d^{2} e^{5} - 54 a^{2} b d^{3} e^{4} + 54 a b^{2} d^{4} e^{3} - 18 b^{3} d^{5} e^{2}\right)}"," ",0,"b**2*(-A*b + B*a)*log(x + (-A*a*b**3*e - A*b**4*d + B*a**2*b**2*e + B*a*b**3*d - a**5*b**2*e**5*(-A*b + B*a)/(a*e - b*d)**4 + 5*a**4*b**3*d*e**4*(-A*b + B*a)/(a*e - b*d)**4 - 10*a**3*b**4*d**2*e**3*(-A*b + B*a)/(a*e - b*d)**4 + 10*a**2*b**5*d**3*e**2*(-A*b + B*a)/(a*e - b*d)**4 - 5*a*b**6*d**4*e*(-A*b + B*a)/(a*e - b*d)**4 + b**7*d**5*(-A*b + B*a)/(a*e - b*d)**4)/(-2*A*b**4*e + 2*B*a*b**3*e))/(a*e - b*d)**4 - b**2*(-A*b + B*a)*log(x + (-A*a*b**3*e - A*b**4*d + B*a**2*b**2*e + B*a*b**3*d + a**5*b**2*e**5*(-A*b + B*a)/(a*e - b*d)**4 - 5*a**4*b**3*d*e**4*(-A*b + B*a)/(a*e - b*d)**4 + 10*a**3*b**4*d**2*e**3*(-A*b + B*a)/(a*e - b*d)**4 - 10*a**2*b**5*d**3*e**2*(-A*b + B*a)/(a*e - b*d)**4 + 5*a*b**6*d**4*e*(-A*b + B*a)/(a*e - b*d)**4 - b**7*d**5*(-A*b + B*a)/(a*e - b*d)**4)/(-2*A*b**4*e + 2*B*a*b**3*e))/(a*e - b*d)**4 + (-2*A*a**2*e**3 + 7*A*a*b*d*e**2 - 11*A*b**2*d**2*e - B*a**2*d*e**2 + 5*B*a*b*d**2*e + 2*B*b**2*d**3 + x**2*(-6*A*b**2*e**3 + 6*B*a*b*e**3) + x*(3*A*a*b*e**3 - 15*A*b**2*d*e**2 - 3*B*a**2*e**3 + 15*B*a*b*d*e**2))/(6*a**3*d**3*e**4 - 18*a**2*b*d**4*e**3 + 18*a*b**2*d**5*e**2 - 6*b**3*d**6*e + x**3*(6*a**3*e**7 - 18*a**2*b*d*e**6 + 18*a*b**2*d**2*e**5 - 6*b**3*d**3*e**4) + x**2*(18*a**3*d*e**6 - 54*a**2*b*d**2*e**5 + 54*a*b**2*d**3*e**4 - 18*b**3*d**4*e**3) + x*(18*a**3*d**2*e**5 - 54*a**2*b*d**3*e**4 + 54*a*b**2*d**4*e**3 - 18*b**3*d**5*e**2))","B",0
1121,1,1132,0,4.380247," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**5,x)","- \frac{b^{3} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{4} e - A b^{5} d + B a^{2} b^{3} e + B a b^{4} d - \frac{a^{6} b^{3} e^{6} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} + \frac{6 a^{5} b^{4} d e^{5} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} - \frac{15 a^{4} b^{5} d^{2} e^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} + \frac{20 a^{3} b^{6} d^{3} e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} - \frac{15 a^{2} b^{7} d^{4} e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} + \frac{6 a b^{8} d^{5} e \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} - \frac{b^{9} d^{6} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}}}{- 2 A b^{5} e + 2 B a b^{4} e} \right)}}{\left(a e - b d\right)^{5}} + \frac{b^{3} \left(- A b + B a\right) \log{\left(x + \frac{- A a b^{4} e - A b^{5} d + B a^{2} b^{3} e + B a b^{4} d + \frac{a^{6} b^{3} e^{6} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} - \frac{6 a^{5} b^{4} d e^{5} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} + \frac{15 a^{4} b^{5} d^{2} e^{4} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} - \frac{20 a^{3} b^{6} d^{3} e^{3} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} + \frac{15 a^{2} b^{7} d^{4} e^{2} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} - \frac{6 a b^{8} d^{5} e \left(- A b + B a\right)}{\left(a e - b d\right)^{5}} + \frac{b^{9} d^{6} \left(- A b + B a\right)}{\left(a e - b d\right)^{5}}}{- 2 A b^{5} e + 2 B a b^{4} e} \right)}}{\left(a e - b d\right)^{5}} + \frac{- 3 A a^{3} e^{4} + 13 A a^{2} b d e^{3} - 23 A a b^{2} d^{2} e^{2} + 25 A b^{3} d^{3} e - B a^{3} d e^{3} + 5 B a^{2} b d^{2} e^{2} - 13 B a b^{2} d^{3} e - 3 B b^{3} d^{4} + x^{3} \left(12 A b^{3} e^{4} - 12 B a b^{2} e^{4}\right) + x^{2} \left(- 6 A a b^{2} e^{4} + 42 A b^{3} d e^{3} + 6 B a^{2} b e^{4} - 42 B a b^{2} d e^{3}\right) + x \left(4 A a^{2} b e^{4} - 20 A a b^{2} d e^{3} + 52 A b^{3} d^{2} e^{2} - 4 B a^{3} e^{4} + 20 B a^{2} b d e^{3} - 52 B a b^{2} d^{2} e^{2}\right)}{12 a^{4} d^{4} e^{5} - 48 a^{3} b d^{5} e^{4} + 72 a^{2} b^{2} d^{6} e^{3} - 48 a b^{3} d^{7} e^{2} + 12 b^{4} d^{8} e + x^{4} \left(12 a^{4} e^{9} - 48 a^{3} b d e^{8} + 72 a^{2} b^{2} d^{2} e^{7} - 48 a b^{3} d^{3} e^{6} + 12 b^{4} d^{4} e^{5}\right) + x^{3} \left(48 a^{4} d e^{8} - 192 a^{3} b d^{2} e^{7} + 288 a^{2} b^{2} d^{3} e^{6} - 192 a b^{3} d^{4} e^{5} + 48 b^{4} d^{5} e^{4}\right) + x^{2} \left(72 a^{4} d^{2} e^{7} - 288 a^{3} b d^{3} e^{6} + 432 a^{2} b^{2} d^{4} e^{5} - 288 a b^{3} d^{5} e^{4} + 72 b^{4} d^{6} e^{3}\right) + x \left(48 a^{4} d^{3} e^{6} - 192 a^{3} b d^{4} e^{5} + 288 a^{2} b^{2} d^{5} e^{4} - 192 a b^{3} d^{6} e^{3} + 48 b^{4} d^{7} e^{2}\right)}"," ",0,"-b**3*(-A*b + B*a)*log(x + (-A*a*b**4*e - A*b**5*d + B*a**2*b**3*e + B*a*b**4*d - a**6*b**3*e**6*(-A*b + B*a)/(a*e - b*d)**5 + 6*a**5*b**4*d*e**5*(-A*b + B*a)/(a*e - b*d)**5 - 15*a**4*b**5*d**2*e**4*(-A*b + B*a)/(a*e - b*d)**5 + 20*a**3*b**6*d**3*e**3*(-A*b + B*a)/(a*e - b*d)**5 - 15*a**2*b**7*d**4*e**2*(-A*b + B*a)/(a*e - b*d)**5 + 6*a*b**8*d**5*e*(-A*b + B*a)/(a*e - b*d)**5 - b**9*d**6*(-A*b + B*a)/(a*e - b*d)**5)/(-2*A*b**5*e + 2*B*a*b**4*e))/(a*e - b*d)**5 + b**3*(-A*b + B*a)*log(x + (-A*a*b**4*e - A*b**5*d + B*a**2*b**3*e + B*a*b**4*d + a**6*b**3*e**6*(-A*b + B*a)/(a*e - b*d)**5 - 6*a**5*b**4*d*e**5*(-A*b + B*a)/(a*e - b*d)**5 + 15*a**4*b**5*d**2*e**4*(-A*b + B*a)/(a*e - b*d)**5 - 20*a**3*b**6*d**3*e**3*(-A*b + B*a)/(a*e - b*d)**5 + 15*a**2*b**7*d**4*e**2*(-A*b + B*a)/(a*e - b*d)**5 - 6*a*b**8*d**5*e*(-A*b + B*a)/(a*e - b*d)**5 + b**9*d**6*(-A*b + B*a)/(a*e - b*d)**5)/(-2*A*b**5*e + 2*B*a*b**4*e))/(a*e - b*d)**5 + (-3*A*a**3*e**4 + 13*A*a**2*b*d*e**3 - 23*A*a*b**2*d**2*e**2 + 25*A*b**3*d**3*e - B*a**3*d*e**3 + 5*B*a**2*b*d**2*e**2 - 13*B*a*b**2*d**3*e - 3*B*b**3*d**4 + x**3*(12*A*b**3*e**4 - 12*B*a*b**2*e**4) + x**2*(-6*A*a*b**2*e**4 + 42*A*b**3*d*e**3 + 6*B*a**2*b*e**4 - 42*B*a*b**2*d*e**3) + x*(4*A*a**2*b*e**4 - 20*A*a*b**2*d*e**3 + 52*A*b**3*d**2*e**2 - 4*B*a**3*e**4 + 20*B*a**2*b*d*e**3 - 52*B*a*b**2*d**2*e**2))/(12*a**4*d**4*e**5 - 48*a**3*b*d**5*e**4 + 72*a**2*b**2*d**6*e**3 - 48*a*b**3*d**7*e**2 + 12*b**4*d**8*e + x**4*(12*a**4*e**9 - 48*a**3*b*d*e**8 + 72*a**2*b**2*d**2*e**7 - 48*a*b**3*d**3*e**6 + 12*b**4*d**4*e**5) + x**3*(48*a**4*d*e**8 - 192*a**3*b*d**2*e**7 + 288*a**2*b**2*d**3*e**6 - 192*a*b**3*d**4*e**5 + 48*b**4*d**5*e**4) + x**2*(72*a**4*d**2*e**7 - 288*a**3*b*d**3*e**6 + 432*a**2*b**2*d**4*e**5 - 288*a*b**3*d**5*e**4 + 72*b**4*d**6*e**3) + x*(48*a**4*d**3*e**6 - 192*a**3*b*d**4*e**5 + 288*a**2*b**2*d**5*e**4 - 192*a*b**3*d**6*e**3 + 48*b**4*d**7*e**2))","B",0
1122,1,573,0,3.205264," ","integrate((B*x+A)*(e*x+d)**5/(b*x+a)**2,x)","\frac{B e^{5} x^{5}}{5 b^{2}} + x^{4} \left(\frac{A e^{5}}{4 b^{2}} - \frac{B a e^{5}}{2 b^{3}} + \frac{5 B d e^{4}}{4 b^{2}}\right) + x^{3} \left(- \frac{2 A a e^{5}}{3 b^{3}} + \frac{5 A d e^{4}}{3 b^{2}} + \frac{B a^{2} e^{5}}{b^{4}} - \frac{10 B a d e^{4}}{3 b^{3}} + \frac{10 B d^{2} e^{3}}{3 b^{2}}\right) + x^{2} \left(\frac{3 A a^{2} e^{5}}{2 b^{4}} - \frac{5 A a d e^{4}}{b^{3}} + \frac{5 A d^{2} e^{3}}{b^{2}} - \frac{2 B a^{3} e^{5}}{b^{5}} + \frac{15 B a^{2} d e^{4}}{2 b^{4}} - \frac{10 B a d^{2} e^{3}}{b^{3}} + \frac{5 B d^{3} e^{2}}{b^{2}}\right) + x \left(- \frac{4 A a^{3} e^{5}}{b^{5}} + \frac{15 A a^{2} d e^{4}}{b^{4}} - \frac{20 A a d^{2} e^{3}}{b^{3}} + \frac{10 A d^{3} e^{2}}{b^{2}} + \frac{5 B a^{4} e^{5}}{b^{6}} - \frac{20 B a^{3} d e^{4}}{b^{5}} + \frac{30 B a^{2} d^{2} e^{3}}{b^{4}} - \frac{20 B a d^{3} e^{2}}{b^{3}} + \frac{5 B d^{4} e}{b^{2}}\right) + \frac{A a^{5} b e^{5} - 5 A a^{4} b^{2} d e^{4} + 10 A a^{3} b^{3} d^{2} e^{3} - 10 A a^{2} b^{4} d^{3} e^{2} + 5 A a b^{5} d^{4} e - A b^{6} d^{5} - B a^{6} e^{5} + 5 B a^{5} b d e^{4} - 10 B a^{4} b^{2} d^{2} e^{3} + 10 B a^{3} b^{3} d^{3} e^{2} - 5 B a^{2} b^{4} d^{4} e + B a b^{5} d^{5}}{a b^{7} + b^{8} x} - \frac{\left(a e - b d\right)^{4} \left(- 5 A b e + 6 B a e - B b d\right) \log{\left(a + b x \right)}}{b^{7}}"," ",0,"B*e**5*x**5/(5*b**2) + x**4*(A*e**5/(4*b**2) - B*a*e**5/(2*b**3) + 5*B*d*e**4/(4*b**2)) + x**3*(-2*A*a*e**5/(3*b**3) + 5*A*d*e**4/(3*b**2) + B*a**2*e**5/b**4 - 10*B*a*d*e**4/(3*b**3) + 10*B*d**2*e**3/(3*b**2)) + x**2*(3*A*a**2*e**5/(2*b**4) - 5*A*a*d*e**4/b**3 + 5*A*d**2*e**3/b**2 - 2*B*a**3*e**5/b**5 + 15*B*a**2*d*e**4/(2*b**4) - 10*B*a*d**2*e**3/b**3 + 5*B*d**3*e**2/b**2) + x*(-4*A*a**3*e**5/b**5 + 15*A*a**2*d*e**4/b**4 - 20*A*a*d**2*e**3/b**3 + 10*A*d**3*e**2/b**2 + 5*B*a**4*e**5/b**6 - 20*B*a**3*d*e**4/b**5 + 30*B*a**2*d**2*e**3/b**4 - 20*B*a*d**3*e**2/b**3 + 5*B*d**4*e/b**2) + (A*a**5*b*e**5 - 5*A*a**4*b**2*d*e**4 + 10*A*a**3*b**3*d**2*e**3 - 10*A*a**2*b**4*d**3*e**2 + 5*A*a*b**5*d**4*e - A*b**6*d**5 - B*a**6*e**5 + 5*B*a**5*b*d*e**4 - 10*B*a**4*b**2*d**2*e**3 + 10*B*a**3*b**3*d**3*e**2 - 5*B*a**2*b**4*d**4*e + B*a*b**5*d**5)/(a*b**7 + b**8*x) - (a*e - b*d)**4*(-5*A*b*e + 6*B*a*e - B*b*d)*log(a + b*x)/b**7","B",0
1123,1,396,0,2.256369," ","integrate((B*x+A)*(e*x+d)**4/(b*x+a)**2,x)","\frac{B e^{4} x^{4}}{4 b^{2}} + x^{3} \left(\frac{A e^{4}}{3 b^{2}} - \frac{2 B a e^{4}}{3 b^{3}} + \frac{4 B d e^{3}}{3 b^{2}}\right) + x^{2} \left(- \frac{A a e^{4}}{b^{3}} + \frac{2 A d e^{3}}{b^{2}} + \frac{3 B a^{2} e^{4}}{2 b^{4}} - \frac{4 B a d e^{3}}{b^{3}} + \frac{3 B d^{2} e^{2}}{b^{2}}\right) + x \left(\frac{3 A a^{2} e^{4}}{b^{4}} - \frac{8 A a d e^{3}}{b^{3}} + \frac{6 A d^{2} e^{2}}{b^{2}} - \frac{4 B a^{3} e^{4}}{b^{5}} + \frac{12 B a^{2} d e^{3}}{b^{4}} - \frac{12 B a d^{2} e^{2}}{b^{3}} + \frac{4 B d^{3} e}{b^{2}}\right) + \frac{- A a^{4} b e^{4} + 4 A a^{3} b^{2} d e^{3} - 6 A a^{2} b^{3} d^{2} e^{2} + 4 A a b^{4} d^{3} e - A b^{5} d^{4} + B a^{5} e^{4} - 4 B a^{4} b d e^{3} + 6 B a^{3} b^{2} d^{2} e^{2} - 4 B a^{2} b^{3} d^{3} e + B a b^{4} d^{4}}{a b^{6} + b^{7} x} + \frac{\left(a e - b d\right)^{3} \left(- 4 A b e + 5 B a e - B b d\right) \log{\left(a + b x \right)}}{b^{6}}"," ",0,"B*e**4*x**4/(4*b**2) + x**3*(A*e**4/(3*b**2) - 2*B*a*e**4/(3*b**3) + 4*B*d*e**3/(3*b**2)) + x**2*(-A*a*e**4/b**3 + 2*A*d*e**3/b**2 + 3*B*a**2*e**4/(2*b**4) - 4*B*a*d*e**3/b**3 + 3*B*d**2*e**2/b**2) + x*(3*A*a**2*e**4/b**4 - 8*A*a*d*e**3/b**3 + 6*A*d**2*e**2/b**2 - 4*B*a**3*e**4/b**5 + 12*B*a**2*d*e**3/b**4 - 12*B*a*d**2*e**2/b**3 + 4*B*d**3*e/b**2) + (-A*a**4*b*e**4 + 4*A*a**3*b**2*d*e**3 - 6*A*a**2*b**3*d**2*e**2 + 4*A*a*b**4*d**3*e - A*b**5*d**4 + B*a**5*e**4 - 4*B*a**4*b*d*e**3 + 6*B*a**3*b**2*d**2*e**2 - 4*B*a**2*b**3*d**3*e + B*a*b**4*d**4)/(a*b**6 + b**7*x) + (a*e - b*d)**3*(-4*A*b*e + 5*B*a*e - B*b*d)*log(a + b*x)/b**6","B",0
1124,1,257,0,1.525381," ","integrate((B*x+A)*(e*x+d)**3/(b*x+a)**2,x)","\frac{B e^{3} x^{3}}{3 b^{2}} + x^{2} \left(\frac{A e^{3}}{2 b^{2}} - \frac{B a e^{3}}{b^{3}} + \frac{3 B d e^{2}}{2 b^{2}}\right) + x \left(- \frac{2 A a e^{3}}{b^{3}} + \frac{3 A d e^{2}}{b^{2}} + \frac{3 B a^{2} e^{3}}{b^{4}} - \frac{6 B a d e^{2}}{b^{3}} + \frac{3 B d^{2} e}{b^{2}}\right) + \frac{A a^{3} b e^{3} - 3 A a^{2} b^{2} d e^{2} + 3 A a b^{3} d^{2} e - A b^{4} d^{3} - B a^{4} e^{3} + 3 B a^{3} b d e^{2} - 3 B a^{2} b^{2} d^{2} e + B a b^{3} d^{3}}{a b^{5} + b^{6} x} - \frac{\left(a e - b d\right)^{2} \left(- 3 A b e + 4 B a e - B b d\right) \log{\left(a + b x \right)}}{b^{5}}"," ",0,"B*e**3*x**3/(3*b**2) + x**2*(A*e**3/(2*b**2) - B*a*e**3/b**3 + 3*B*d*e**2/(2*b**2)) + x*(-2*A*a*e**3/b**3 + 3*A*d*e**2/b**2 + 3*B*a**2*e**3/b**4 - 6*B*a*d*e**2/b**3 + 3*B*d**2*e/b**2) + (A*a**3*b*e**3 - 3*A*a**2*b**2*d*e**2 + 3*A*a*b**3*d**2*e - A*b**4*d**3 - B*a**4*e**3 + 3*B*a**3*b*d*e**2 - 3*B*a**2*b**2*d**2*e + B*a*b**3*d**3)/(a*b**5 + b**6*x) - (a*e - b*d)**2*(-3*A*b*e + 4*B*a*e - B*b*d)*log(a + b*x)/b**5","A",0
1125,1,151,0,0.946901," ","integrate((B*x+A)*(e*x+d)**2/(b*x+a)**2,x)","\frac{B e^{2} x^{2}}{2 b^{2}} + x \left(\frac{A e^{2}}{b^{2}} - \frac{2 B a e^{2}}{b^{3}} + \frac{2 B d e}{b^{2}}\right) + \frac{- A a^{2} b e^{2} + 2 A a b^{2} d e - A b^{3} d^{2} + B a^{3} e^{2} - 2 B a^{2} b d e + B a b^{2} d^{2}}{a b^{4} + b^{5} x} + \frac{\left(a e - b d\right) \left(- 2 A b e + 3 B a e - B b d\right) \log{\left(a + b x \right)}}{b^{4}}"," ",0,"B*e**2*x**2/(2*b**2) + x*(A*e**2/b**2 - 2*B*a*e**2/b**3 + 2*B*d*e/b**2) + (-A*a**2*b*e**2 + 2*A*a*b**2*d*e - A*b**3*d**2 + B*a**3*e**2 - 2*B*a**2*b*d*e + B*a*b**2*d**2)/(a*b**4 + b**5*x) + (a*e - b*d)*(-2*A*b*e + 3*B*a*e - B*b*d)*log(a + b*x)/b**4","A",0
1126,1,71,0,0.456827," ","integrate((B*x+A)*(e*x+d)/(b*x+a)**2,x)","\frac{B e x}{b^{2}} + \frac{A a b e - A b^{2} d - B a^{2} e + B a b d}{a b^{3} + b^{4} x} - \frac{\left(- A b e + 2 B a e - B b d\right) \log{\left(a + b x \right)}}{b^{3}}"," ",0,"B*e*x/b**2 + (A*a*b*e - A*b**2*d - B*a**2*e + B*a*b*d)/(a*b**3 + b**4*x) - (-A*b*e + 2*B*a*e - B*b*d)*log(a + b*x)/b**3","A",0
1127,1,27,0,0.186395," ","integrate((B*x+A)/(b*x+a)**2,x)","\frac{B \log{\left(a + b x \right)}}{b^{2}} + \frac{- A b + B a}{a b^{2} + b^{3} x}"," ",0,"B*log(a + b*x)/b**2 + (-A*b + B*a)/(a*b**2 + b**3*x)","A",0
1128,1,355,0,1.270332," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d),x)","\frac{A b - B a}{a^{2} b e - a b^{2} d + x \left(a b^{2} e - b^{3} d\right)} - \frac{\left(- A e + B d\right) \log{\left(x + \frac{- A a e^{2} - A b d e + B a d e + B b d^{2} - \frac{a^{3} e^{3} \left(- A e + B d\right)}{\left(a e - b d\right)^{2}} + \frac{3 a^{2} b d e^{2} \left(- A e + B d\right)}{\left(a e - b d\right)^{2}} - \frac{3 a b^{2} d^{2} e \left(- A e + B d\right)}{\left(a e - b d\right)^{2}} + \frac{b^{3} d^{3} \left(- A e + B d\right)}{\left(a e - b d\right)^{2}}}{- 2 A b e^{2} + 2 B b d e} \right)}}{\left(a e - b d\right)^{2}} + \frac{\left(- A e + B d\right) \log{\left(x + \frac{- A a e^{2} - A b d e + B a d e + B b d^{2} + \frac{a^{3} e^{3} \left(- A e + B d\right)}{\left(a e - b d\right)^{2}} - \frac{3 a^{2} b d e^{2} \left(- A e + B d\right)}{\left(a e - b d\right)^{2}} + \frac{3 a b^{2} d^{2} e \left(- A e + B d\right)}{\left(a e - b d\right)^{2}} - \frac{b^{3} d^{3} \left(- A e + B d\right)}{\left(a e - b d\right)^{2}}}{- 2 A b e^{2} + 2 B b d e} \right)}}{\left(a e - b d\right)^{2}}"," ",0,"(A*b - B*a)/(a**2*b*e - a*b**2*d + x*(a*b**2*e - b**3*d)) - (-A*e + B*d)*log(x + (-A*a*e**2 - A*b*d*e + B*a*d*e + B*b*d**2 - a**3*e**3*(-A*e + B*d)/(a*e - b*d)**2 + 3*a**2*b*d*e**2*(-A*e + B*d)/(a*e - b*d)**2 - 3*a*b**2*d**2*e*(-A*e + B*d)/(a*e - b*d)**2 + b**3*d**3*(-A*e + B*d)/(a*e - b*d)**2)/(-2*A*b*e**2 + 2*B*b*d*e))/(a*e - b*d)**2 + (-A*e + B*d)*log(x + (-A*a*e**2 - A*b*d*e + B*a*d*e + B*b*d**2 + a**3*e**3*(-A*e + B*d)/(a*e - b*d)**2 - 3*a**2*b*d*e**2*(-A*e + B*d)/(a*e - b*d)**2 + 3*a*b**2*d**2*e*(-A*e + B*d)/(a*e - b*d)**2 - b**3*d**3*(-A*e + B*d)/(a*e - b*d)**2)/(-2*A*b*e**2 + 2*B*b*d*e))/(a*e - b*d)**2","B",0
1129,1,706,0,2.521303," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**2,x)","\frac{- A a e - A b d + 2 B a d + x \left(- 2 A b e + B a e + B b d\right)}{a^{3} d e^{2} - 2 a^{2} b d^{2} e + a b^{2} d^{3} + x^{2} \left(a^{2} b e^{3} - 2 a b^{2} d e^{2} + b^{3} d^{2} e\right) + x \left(a^{3} e^{3} - a^{2} b d e^{2} - a b^{2} d^{2} e + b^{3} d^{3}\right)} + \frac{\left(- 2 A b e + B a e + B b d\right) \log{\left(x + \frac{- 2 A a b e^{2} - 2 A b^{2} d e + B a^{2} e^{2} + 2 B a b d e + B b^{2} d^{2} - \frac{a^{4} e^{4} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} + \frac{4 a^{3} b d e^{3} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} - \frac{6 a^{2} b^{2} d^{2} e^{2} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} + \frac{4 a b^{3} d^{3} e \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} - \frac{b^{4} d^{4} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}}}{- 4 A b^{2} e^{2} + 2 B a b e^{2} + 2 B b^{2} d e} \right)}}{\left(a e - b d\right)^{3}} - \frac{\left(- 2 A b e + B a e + B b d\right) \log{\left(x + \frac{- 2 A a b e^{2} - 2 A b^{2} d e + B a^{2} e^{2} + 2 B a b d e + B b^{2} d^{2} + \frac{a^{4} e^{4} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} - \frac{4 a^{3} b d e^{3} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} + \frac{6 a^{2} b^{2} d^{2} e^{2} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} - \frac{4 a b^{3} d^{3} e \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}} + \frac{b^{4} d^{4} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{3}}}{- 4 A b^{2} e^{2} + 2 B a b e^{2} + 2 B b^{2} d e} \right)}}{\left(a e - b d\right)^{3}}"," ",0,"(-A*a*e - A*b*d + 2*B*a*d + x*(-2*A*b*e + B*a*e + B*b*d))/(a**3*d*e**2 - 2*a**2*b*d**2*e + a*b**2*d**3 + x**2*(a**2*b*e**3 - 2*a*b**2*d*e**2 + b**3*d**2*e) + x*(a**3*e**3 - a**2*b*d*e**2 - a*b**2*d**2*e + b**3*d**3)) + (-2*A*b*e + B*a*e + B*b*d)*log(x + (-2*A*a*b*e**2 - 2*A*b**2*d*e + B*a**2*e**2 + 2*B*a*b*d*e + B*b**2*d**2 - a**4*e**4*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 + 4*a**3*b*d*e**3*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 - 6*a**2*b**2*d**2*e**2*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 + 4*a*b**3*d**3*e*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 - b**4*d**4*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3)/(-4*A*b**2*e**2 + 2*B*a*b*e**2 + 2*B*b**2*d*e))/(a*e - b*d)**3 - (-2*A*b*e + B*a*e + B*b*d)*log(x + (-2*A*a*b*e**2 - 2*A*b**2*d*e + B*a**2*e**2 + 2*B*a*b*d*e + B*b**2*d**2 + a**4*e**4*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 - 4*a**3*b*d*e**3*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 + 6*a**2*b**2*d**2*e**2*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 - 4*a*b**3*d**3*e*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3 + b**4*d**4*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**3)/(-4*A*b**2*e**2 + 2*B*a*b*e**2 + 2*B*b**2*d*e))/(a*e - b*d)**3","B",0
1130,1,1066,0,3.772880," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**3,x)","- \frac{b \left(- 3 A b e + 2 B a e + B b d\right) \log{\left(x + \frac{- 3 A a b^{2} e^{2} - 3 A b^{3} d e + 2 B a^{2} b e^{2} + 3 B a b^{2} d e + B b^{3} d^{2} - \frac{a^{5} b e^{5} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} + \frac{5 a^{4} b^{2} d e^{4} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} - \frac{10 a^{3} b^{3} d^{2} e^{3} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} + \frac{10 a^{2} b^{4} d^{3} e^{2} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} - \frac{5 a b^{5} d^{4} e \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} + \frac{b^{6} d^{5} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}}}{- 6 A b^{3} e^{2} + 4 B a b^{2} e^{2} + 2 B b^{3} d e} \right)}}{\left(a e - b d\right)^{4}} + \frac{b \left(- 3 A b e + 2 B a e + B b d\right) \log{\left(x + \frac{- 3 A a b^{2} e^{2} - 3 A b^{3} d e + 2 B a^{2} b e^{2} + 3 B a b^{2} d e + B b^{3} d^{2} + \frac{a^{5} b e^{5} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} - \frac{5 a^{4} b^{2} d e^{4} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} + \frac{10 a^{3} b^{3} d^{2} e^{3} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} - \frac{10 a^{2} b^{4} d^{3} e^{2} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} + \frac{5 a b^{5} d^{4} e \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}} - \frac{b^{6} d^{5} \left(- 3 A b e + 2 B a e + B b d\right)}{\left(a e - b d\right)^{4}}}{- 6 A b^{3} e^{2} + 4 B a b^{2} e^{2} + 2 B b^{3} d e} \right)}}{\left(a e - b d\right)^{4}} + \frac{- A a^{2} e^{2} + 5 A a b d e + 2 A b^{2} d^{2} - B a^{2} d e - 5 B a b d^{2} + x^{2} \left(6 A b^{2} e^{2} - 4 B a b e^{2} - 2 B b^{2} d e\right) + x \left(3 A a b e^{2} + 9 A b^{2} d e - 2 B a^{2} e^{2} - 7 B a b d e - 3 B b^{2} d^{2}\right)}{2 a^{4} d^{2} e^{3} - 6 a^{3} b d^{3} e^{2} + 6 a^{2} b^{2} d^{4} e - 2 a b^{3} d^{5} + x^{3} \left(2 a^{3} b e^{5} - 6 a^{2} b^{2} d e^{4} + 6 a b^{3} d^{2} e^{3} - 2 b^{4} d^{3} e^{2}\right) + x^{2} \left(2 a^{4} e^{5} - 2 a^{3} b d e^{4} - 6 a^{2} b^{2} d^{2} e^{3} + 10 a b^{3} d^{3} e^{2} - 4 b^{4} d^{4} e\right) + x \left(4 a^{4} d e^{4} - 10 a^{3} b d^{2} e^{3} + 6 a^{2} b^{2} d^{3} e^{2} + 2 a b^{3} d^{4} e - 2 b^{4} d^{5}\right)}"," ",0,"-b*(-3*A*b*e + 2*B*a*e + B*b*d)*log(x + (-3*A*a*b**2*e**2 - 3*A*b**3*d*e + 2*B*a**2*b*e**2 + 3*B*a*b**2*d*e + B*b**3*d**2 - a**5*b*e**5*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 + 5*a**4*b**2*d*e**4*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 - 10*a**3*b**3*d**2*e**3*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 + 10*a**2*b**4*d**3*e**2*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 - 5*a*b**5*d**4*e*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 + b**6*d**5*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4)/(-6*A*b**3*e**2 + 4*B*a*b**2*e**2 + 2*B*b**3*d*e))/(a*e - b*d)**4 + b*(-3*A*b*e + 2*B*a*e + B*b*d)*log(x + (-3*A*a*b**2*e**2 - 3*A*b**3*d*e + 2*B*a**2*b*e**2 + 3*B*a*b**2*d*e + B*b**3*d**2 + a**5*b*e**5*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 - 5*a**4*b**2*d*e**4*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 + 10*a**3*b**3*d**2*e**3*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 - 10*a**2*b**4*d**3*e**2*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 + 5*a*b**5*d**4*e*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4 - b**6*d**5*(-3*A*b*e + 2*B*a*e + B*b*d)/(a*e - b*d)**4)/(-6*A*b**3*e**2 + 4*B*a*b**2*e**2 + 2*B*b**3*d*e))/(a*e - b*d)**4 + (-A*a**2*e**2 + 5*A*a*b*d*e + 2*A*b**2*d**2 - B*a**2*d*e - 5*B*a*b*d**2 + x**2*(6*A*b**2*e**2 - 4*B*a*b*e**2 - 2*B*b**2*d*e) + x*(3*A*a*b*e**2 + 9*A*b**2*d*e - 2*B*a**2*e**2 - 7*B*a*b*d*e - 3*B*b**2*d**2))/(2*a**4*d**2*e**3 - 6*a**3*b*d**3*e**2 + 6*a**2*b**2*d**4*e - 2*a*b**3*d**5 + x**3*(2*a**3*b*e**5 - 6*a**2*b**2*d*e**4 + 6*a*b**3*d**2*e**3 - 2*b**4*d**3*e**2) + x**2*(2*a**4*e**5 - 2*a**3*b*d*e**4 - 6*a**2*b**2*d**2*e**3 + 10*a*b**3*d**3*e**2 - 4*b**4*d**4*e) + x*(4*a**4*d*e**4 - 10*a**3*b*d**2*e**3 + 6*a**2*b**2*d**3*e**2 + 2*a*b**3*d**4*e - 2*b**4*d**5))","B",0
1131,1,1445,0,5.553360," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**4,x)","\frac{b^{2} \left(- 4 A b e + 3 B a e + B b d\right) \log{\left(x + \frac{- 4 A a b^{3} e^{2} - 4 A b^{4} d e + 3 B a^{2} b^{2} e^{2} + 4 B a b^{3} d e + B b^{4} d^{2} - \frac{a^{6} b^{2} e^{6} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{6 a^{5} b^{3} d e^{5} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{15 a^{4} b^{4} d^{2} e^{4} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{20 a^{3} b^{5} d^{3} e^{3} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{15 a^{2} b^{6} d^{4} e^{2} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{6 a b^{7} d^{5} e \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{b^{8} d^{6} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}}}{- 8 A b^{4} e^{2} + 6 B a b^{3} e^{2} + 2 B b^{4} d e} \right)}}{\left(a e - b d\right)^{5}} - \frac{b^{2} \left(- 4 A b e + 3 B a e + B b d\right) \log{\left(x + \frac{- 4 A a b^{3} e^{2} - 4 A b^{4} d e + 3 B a^{2} b^{2} e^{2} + 4 B a b^{3} d e + B b^{4} d^{2} + \frac{a^{6} b^{2} e^{6} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{6 a^{5} b^{3} d e^{5} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{15 a^{4} b^{4} d^{2} e^{4} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{20 a^{3} b^{5} d^{3} e^{3} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{15 a^{2} b^{6} d^{4} e^{2} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{6 a b^{7} d^{5} e \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{b^{8} d^{6} \left(- 4 A b e + 3 B a e + B b d\right)}{\left(a e - b d\right)^{5}}}{- 8 A b^{4} e^{2} + 6 B a b^{3} e^{2} + 2 B b^{4} d e} \right)}}{\left(a e - b d\right)^{5}} + \frac{- 2 A a^{3} e^{3} + 10 A a^{2} b d e^{2} - 26 A a b^{2} d^{2} e - 6 A b^{3} d^{3} - B a^{3} d e^{2} + 8 B a^{2} b d^{2} e + 17 B a b^{2} d^{3} + x^{3} \left(- 24 A b^{3} e^{3} + 18 B a b^{2} e^{3} + 6 B b^{3} d e^{2}\right) + x^{2} \left(- 12 A a b^{2} e^{3} - 60 A b^{3} d e^{2} + 9 B a^{2} b e^{3} + 48 B a b^{2} d e^{2} + 15 B b^{3} d^{2} e\right) + x \left(4 A a^{2} b e^{3} - 32 A a b^{2} d e^{2} - 44 A b^{3} d^{2} e - 3 B a^{3} e^{3} + 23 B a^{2} b d e^{2} + 41 B a b^{2} d^{2} e + 11 B b^{3} d^{3}\right)}{6 a^{5} d^{3} e^{4} - 24 a^{4} b d^{4} e^{3} + 36 a^{3} b^{2} d^{5} e^{2} - 24 a^{2} b^{3} d^{6} e + 6 a b^{4} d^{7} + x^{4} \left(6 a^{4} b e^{7} - 24 a^{3} b^{2} d e^{6} + 36 a^{2} b^{3} d^{2} e^{5} - 24 a b^{4} d^{3} e^{4} + 6 b^{5} d^{4} e^{3}\right) + x^{3} \left(6 a^{5} e^{7} - 6 a^{4} b d e^{6} - 36 a^{3} b^{2} d^{2} e^{5} + 84 a^{2} b^{3} d^{3} e^{4} - 66 a b^{4} d^{4} e^{3} + 18 b^{5} d^{5} e^{2}\right) + x^{2} \left(18 a^{5} d e^{6} - 54 a^{4} b d^{2} e^{5} + 36 a^{3} b^{2} d^{3} e^{4} + 36 a^{2} b^{3} d^{4} e^{3} - 54 a b^{4} d^{5} e^{2} + 18 b^{5} d^{6} e\right) + x \left(18 a^{5} d^{2} e^{5} - 66 a^{4} b d^{3} e^{4} + 84 a^{3} b^{2} d^{4} e^{3} - 36 a^{2} b^{3} d^{5} e^{2} - 6 a b^{4} d^{6} e + 6 b^{5} d^{7}\right)}"," ",0,"b**2*(-4*A*b*e + 3*B*a*e + B*b*d)*log(x + (-4*A*a*b**3*e**2 - 4*A*b**4*d*e + 3*B*a**2*b**2*e**2 + 4*B*a*b**3*d*e + B*b**4*d**2 - a**6*b**2*e**6*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 + 6*a**5*b**3*d*e**5*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 - 15*a**4*b**4*d**2*e**4*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 + 20*a**3*b**5*d**3*e**3*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 - 15*a**2*b**6*d**4*e**2*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 + 6*a*b**7*d**5*e*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 - b**8*d**6*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5)/(-8*A*b**4*e**2 + 6*B*a*b**3*e**2 + 2*B*b**4*d*e))/(a*e - b*d)**5 - b**2*(-4*A*b*e + 3*B*a*e + B*b*d)*log(x + (-4*A*a*b**3*e**2 - 4*A*b**4*d*e + 3*B*a**2*b**2*e**2 + 4*B*a*b**3*d*e + B*b**4*d**2 + a**6*b**2*e**6*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 - 6*a**5*b**3*d*e**5*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 + 15*a**4*b**4*d**2*e**4*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 - 20*a**3*b**5*d**3*e**3*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 + 15*a**2*b**6*d**4*e**2*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 - 6*a*b**7*d**5*e*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5 + b**8*d**6*(-4*A*b*e + 3*B*a*e + B*b*d)/(a*e - b*d)**5)/(-8*A*b**4*e**2 + 6*B*a*b**3*e**2 + 2*B*b**4*d*e))/(a*e - b*d)**5 + (-2*A*a**3*e**3 + 10*A*a**2*b*d*e**2 - 26*A*a*b**2*d**2*e - 6*A*b**3*d**3 - B*a**3*d*e**2 + 8*B*a**2*b*d**2*e + 17*B*a*b**2*d**3 + x**3*(-24*A*b**3*e**3 + 18*B*a*b**2*e**3 + 6*B*b**3*d*e**2) + x**2*(-12*A*a*b**2*e**3 - 60*A*b**3*d*e**2 + 9*B*a**2*b*e**3 + 48*B*a*b**2*d*e**2 + 15*B*b**3*d**2*e) + x*(4*A*a**2*b*e**3 - 32*A*a*b**2*d*e**2 - 44*A*b**3*d**2*e - 3*B*a**3*e**3 + 23*B*a**2*b*d*e**2 + 41*B*a*b**2*d**2*e + 11*B*b**3*d**3))/(6*a**5*d**3*e**4 - 24*a**4*b*d**4*e**3 + 36*a**3*b**2*d**5*e**2 - 24*a**2*b**3*d**6*e + 6*a*b**4*d**7 + x**4*(6*a**4*b*e**7 - 24*a**3*b**2*d*e**6 + 36*a**2*b**3*d**2*e**5 - 24*a*b**4*d**3*e**4 + 6*b**5*d**4*e**3) + x**3*(6*a**5*e**7 - 6*a**4*b*d*e**6 - 36*a**3*b**2*d**2*e**5 + 84*a**2*b**3*d**3*e**4 - 66*a*b**4*d**4*e**3 + 18*b**5*d**5*e**2) + x**2*(18*a**5*d*e**6 - 54*a**4*b*d**2*e**5 + 36*a**3*b**2*d**3*e**4 + 36*a**2*b**3*d**4*e**3 - 54*a*b**4*d**5*e**2 + 18*b**5*d**6*e) + x*(18*a**5*d**2*e**5 - 66*a**4*b*d**3*e**4 + 84*a**3*b**2*d**4*e**3 - 36*a**2*b**3*d**5*e**2 - 6*a*b**4*d**6*e + 6*b**5*d**7))","B",0
1132,1,1877,0,7.883411," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**5,x)","- \frac{b^{3} \left(- 5 A b e + 4 B a e + B b d\right) \log{\left(x + \frac{- 5 A a b^{4} e^{2} - 5 A b^{5} d e + 4 B a^{2} b^{3} e^{2} + 5 B a b^{4} d e + B b^{5} d^{2} - \frac{a^{7} b^{3} e^{7} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} + \frac{7 a^{6} b^{4} d e^{6} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} - \frac{21 a^{5} b^{5} d^{2} e^{5} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} + \frac{35 a^{4} b^{6} d^{3} e^{4} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} - \frac{35 a^{3} b^{7} d^{4} e^{3} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} + \frac{21 a^{2} b^{8} d^{5} e^{2} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} - \frac{7 a b^{9} d^{6} e \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} + \frac{b^{10} d^{7} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}}}{- 10 A b^{5} e^{2} + 8 B a b^{4} e^{2} + 2 B b^{5} d e} \right)}}{\left(a e - b d\right)^{6}} + \frac{b^{3} \left(- 5 A b e + 4 B a e + B b d\right) \log{\left(x + \frac{- 5 A a b^{4} e^{2} - 5 A b^{5} d e + 4 B a^{2} b^{3} e^{2} + 5 B a b^{4} d e + B b^{5} d^{2} + \frac{a^{7} b^{3} e^{7} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} - \frac{7 a^{6} b^{4} d e^{6} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} + \frac{21 a^{5} b^{5} d^{2} e^{5} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} - \frac{35 a^{4} b^{6} d^{3} e^{4} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} + \frac{35 a^{3} b^{7} d^{4} e^{3} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} - \frac{21 a^{2} b^{8} d^{5} e^{2} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} + \frac{7 a b^{9} d^{6} e \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}} - \frac{b^{10} d^{7} \left(- 5 A b e + 4 B a e + B b d\right)}{\left(a e - b d\right)^{6}}}{- 10 A b^{5} e^{2} + 8 B a b^{4} e^{2} + 2 B b^{5} d e} \right)}}{\left(a e - b d\right)^{6}} + \frac{- 3 A a^{4} e^{4} + 17 A a^{3} b d e^{3} - 43 A a^{2} b^{2} d^{2} e^{2} + 77 A a b^{3} d^{3} e + 12 A b^{4} d^{4} - B a^{4} d e^{3} + 7 B a^{3} b d^{2} e^{2} - 29 B a^{2} b^{2} d^{3} e - 37 B a b^{3} d^{4} + x^{4} \left(60 A b^{4} e^{4} - 48 B a b^{3} e^{4} - 12 B b^{4} d e^{3}\right) + x^{3} \left(30 A a b^{3} e^{4} + 210 A b^{4} d e^{3} - 24 B a^{2} b^{2} e^{4} - 174 B a b^{3} d e^{3} - 42 B b^{4} d^{2} e^{2}\right) + x^{2} \left(- 10 A a^{2} b^{2} e^{4} + 110 A a b^{3} d e^{3} + 260 A b^{4} d^{2} e^{2} + 8 B a^{3} b e^{4} - 86 B a^{2} b^{2} d e^{3} - 230 B a b^{3} d^{2} e^{2} - 52 B b^{4} d^{3} e\right) + x \left(5 A a^{3} b e^{4} - 35 A a^{2} b^{2} d e^{3} + 145 A a b^{3} d^{2} e^{2} + 125 A b^{4} d^{3} e - 4 B a^{4} e^{4} + 27 B a^{3} b d e^{3} - 109 B a^{2} b^{2} d^{2} e^{2} - 129 B a b^{3} d^{3} e - 25 B b^{4} d^{4}\right)}{12 a^{6} d^{4} e^{5} - 60 a^{5} b d^{5} e^{4} + 120 a^{4} b^{2} d^{6} e^{3} - 120 a^{3} b^{3} d^{7} e^{2} + 60 a^{2} b^{4} d^{8} e - 12 a b^{5} d^{9} + x^{5} \left(12 a^{5} b e^{9} - 60 a^{4} b^{2} d e^{8} + 120 a^{3} b^{3} d^{2} e^{7} - 120 a^{2} b^{4} d^{3} e^{6} + 60 a b^{5} d^{4} e^{5} - 12 b^{6} d^{5} e^{4}\right) + x^{4} \left(12 a^{6} e^{9} - 12 a^{5} b d e^{8} - 120 a^{4} b^{2} d^{2} e^{7} + 360 a^{3} b^{3} d^{3} e^{6} - 420 a^{2} b^{4} d^{4} e^{5} + 228 a b^{5} d^{5} e^{4} - 48 b^{6} d^{6} e^{3}\right) + x^{3} \left(48 a^{6} d e^{8} - 168 a^{5} b d^{2} e^{7} + 120 a^{4} b^{2} d^{3} e^{6} + 240 a^{3} b^{3} d^{4} e^{5} - 480 a^{2} b^{4} d^{5} e^{4} + 312 a b^{5} d^{6} e^{3} - 72 b^{6} d^{7} e^{2}\right) + x^{2} \left(72 a^{6} d^{2} e^{7} - 312 a^{5} b d^{3} e^{6} + 480 a^{4} b^{2} d^{4} e^{5} - 240 a^{3} b^{3} d^{5} e^{4} - 120 a^{2} b^{4} d^{6} e^{3} + 168 a b^{5} d^{7} e^{2} - 48 b^{6} d^{8} e\right) + x \left(48 a^{6} d^{3} e^{6} - 228 a^{5} b d^{4} e^{5} + 420 a^{4} b^{2} d^{5} e^{4} - 360 a^{3} b^{3} d^{6} e^{3} + 120 a^{2} b^{4} d^{7} e^{2} + 12 a b^{5} d^{8} e - 12 b^{6} d^{9}\right)}"," ",0,"-b**3*(-5*A*b*e + 4*B*a*e + B*b*d)*log(x + (-5*A*a*b**4*e**2 - 5*A*b**5*d*e + 4*B*a**2*b**3*e**2 + 5*B*a*b**4*d*e + B*b**5*d**2 - a**7*b**3*e**7*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 + 7*a**6*b**4*d*e**6*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 - 21*a**5*b**5*d**2*e**5*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 + 35*a**4*b**6*d**3*e**4*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 - 35*a**3*b**7*d**4*e**3*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 + 21*a**2*b**8*d**5*e**2*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 - 7*a*b**9*d**6*e*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 + b**10*d**7*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6)/(-10*A*b**5*e**2 + 8*B*a*b**4*e**2 + 2*B*b**5*d*e))/(a*e - b*d)**6 + b**3*(-5*A*b*e + 4*B*a*e + B*b*d)*log(x + (-5*A*a*b**4*e**2 - 5*A*b**5*d*e + 4*B*a**2*b**3*e**2 + 5*B*a*b**4*d*e + B*b**5*d**2 + a**7*b**3*e**7*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 - 7*a**6*b**4*d*e**6*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 + 21*a**5*b**5*d**2*e**5*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 - 35*a**4*b**6*d**3*e**4*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 + 35*a**3*b**7*d**4*e**3*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 - 21*a**2*b**8*d**5*e**2*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 + 7*a*b**9*d**6*e*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6 - b**10*d**7*(-5*A*b*e + 4*B*a*e + B*b*d)/(a*e - b*d)**6)/(-10*A*b**5*e**2 + 8*B*a*b**4*e**2 + 2*B*b**5*d*e))/(a*e - b*d)**6 + (-3*A*a**4*e**4 + 17*A*a**3*b*d*e**3 - 43*A*a**2*b**2*d**2*e**2 + 77*A*a*b**3*d**3*e + 12*A*b**4*d**4 - B*a**4*d*e**3 + 7*B*a**3*b*d**2*e**2 - 29*B*a**2*b**2*d**3*e - 37*B*a*b**3*d**4 + x**4*(60*A*b**4*e**4 - 48*B*a*b**3*e**4 - 12*B*b**4*d*e**3) + x**3*(30*A*a*b**3*e**4 + 210*A*b**4*d*e**3 - 24*B*a**2*b**2*e**4 - 174*B*a*b**3*d*e**3 - 42*B*b**4*d**2*e**2) + x**2*(-10*A*a**2*b**2*e**4 + 110*A*a*b**3*d*e**3 + 260*A*b**4*d**2*e**2 + 8*B*a**3*b*e**4 - 86*B*a**2*b**2*d*e**3 - 230*B*a*b**3*d**2*e**2 - 52*B*b**4*d**3*e) + x*(5*A*a**3*b*e**4 - 35*A*a**2*b**2*d*e**3 + 145*A*a*b**3*d**2*e**2 + 125*A*b**4*d**3*e - 4*B*a**4*e**4 + 27*B*a**3*b*d*e**3 - 109*B*a**2*b**2*d**2*e**2 - 129*B*a*b**3*d**3*e - 25*B*b**4*d**4))/(12*a**6*d**4*e**5 - 60*a**5*b*d**5*e**4 + 120*a**4*b**2*d**6*e**3 - 120*a**3*b**3*d**7*e**2 + 60*a**2*b**4*d**8*e - 12*a*b**5*d**9 + x**5*(12*a**5*b*e**9 - 60*a**4*b**2*d*e**8 + 120*a**3*b**3*d**2*e**7 - 120*a**2*b**4*d**3*e**6 + 60*a*b**5*d**4*e**5 - 12*b**6*d**5*e**4) + x**4*(12*a**6*e**9 - 12*a**5*b*d*e**8 - 120*a**4*b**2*d**2*e**7 + 360*a**3*b**3*d**3*e**6 - 420*a**2*b**4*d**4*e**5 + 228*a*b**5*d**5*e**4 - 48*b**6*d**6*e**3) + x**3*(48*a**6*d*e**8 - 168*a**5*b*d**2*e**7 + 120*a**4*b**2*d**3*e**6 + 240*a**3*b**3*d**4*e**5 - 480*a**2*b**4*d**5*e**4 + 312*a*b**5*d**6*e**3 - 72*b**6*d**7*e**2) + x**2*(72*a**6*d**2*e**7 - 312*a**5*b*d**3*e**6 + 480*a**4*b**2*d**4*e**5 - 240*a**3*b**3*d**5*e**4 - 120*a**2*b**4*d**6*e**3 + 168*a*b**5*d**7*e**2 - 48*b**6*d**8*e) + x*(48*a**6*d**3*e**6 - 228*a**5*b*d**4*e**5 + 420*a**4*b**2*d**5*e**4 - 360*a**3*b**3*d**6*e**3 + 120*a**2*b**4*d**7*e**2 + 12*a*b**5*d**8*e - 12*b**6*d**9))","B",0
1133,1,615,0,11.380286," ","integrate((B*x+A)*(e*x+d)**5/(b*x+a)**3,x)","\frac{B e^{5} x^{4}}{4 b^{3}} + x^{3} \left(\frac{A e^{5}}{3 b^{3}} - \frac{B a e^{5}}{b^{4}} + \frac{5 B d e^{4}}{3 b^{3}}\right) + x^{2} \left(- \frac{3 A a e^{5}}{2 b^{4}} + \frac{5 A d e^{4}}{2 b^{3}} + \frac{3 B a^{2} e^{5}}{b^{5}} - \frac{15 B a d e^{4}}{2 b^{4}} + \frac{5 B d^{2} e^{3}}{b^{3}}\right) + x \left(\frac{6 A a^{2} e^{5}}{b^{5}} - \frac{15 A a d e^{4}}{b^{4}} + \frac{10 A d^{2} e^{3}}{b^{3}} - \frac{10 B a^{3} e^{5}}{b^{6}} + \frac{30 B a^{2} d e^{4}}{b^{5}} - \frac{30 B a d^{2} e^{3}}{b^{4}} + \frac{10 B d^{3} e^{2}}{b^{3}}\right) + \frac{- 9 A a^{5} b e^{5} + 35 A a^{4} b^{2} d e^{4} - 50 A a^{3} b^{3} d^{2} e^{3} + 30 A a^{2} b^{4} d^{3} e^{2} - 5 A a b^{5} d^{4} e - A b^{6} d^{5} + 11 B a^{6} e^{5} - 45 B a^{5} b d e^{4} + 70 B a^{4} b^{2} d^{2} e^{3} - 50 B a^{3} b^{3} d^{3} e^{2} + 15 B a^{2} b^{4} d^{4} e - B a b^{5} d^{5} + x \left(- 10 A a^{4} b^{2} e^{5} + 40 A a^{3} b^{3} d e^{4} - 60 A a^{2} b^{4} d^{2} e^{3} + 40 A a b^{5} d^{3} e^{2} - 10 A b^{6} d^{4} e + 12 B a^{5} b e^{5} - 50 B a^{4} b^{2} d e^{4} + 80 B a^{3} b^{3} d^{2} e^{3} - 60 B a^{2} b^{4} d^{3} e^{2} + 20 B a b^{5} d^{4} e - 2 B b^{6} d^{5}\right)}{2 a^{2} b^{7} + 4 a b^{8} x + 2 b^{9} x^{2}} + \frac{5 e \left(a e - b d\right)^{3} \left(- 2 A b e + 3 B a e - B b d\right) \log{\left(a + b x \right)}}{b^{7}}"," ",0,"B*e**5*x**4/(4*b**3) + x**3*(A*e**5/(3*b**3) - B*a*e**5/b**4 + 5*B*d*e**4/(3*b**3)) + x**2*(-3*A*a*e**5/(2*b**4) + 5*A*d*e**4/(2*b**3) + 3*B*a**2*e**5/b**5 - 15*B*a*d*e**4/(2*b**4) + 5*B*d**2*e**3/b**3) + x*(6*A*a**2*e**5/b**5 - 15*A*a*d*e**4/b**4 + 10*A*d**2*e**3/b**3 - 10*B*a**3*e**5/b**6 + 30*B*a**2*d*e**4/b**5 - 30*B*a*d**2*e**3/b**4 + 10*B*d**3*e**2/b**3) + (-9*A*a**5*b*e**5 + 35*A*a**4*b**2*d*e**4 - 50*A*a**3*b**3*d**2*e**3 + 30*A*a**2*b**4*d**3*e**2 - 5*A*a*b**5*d**4*e - A*b**6*d**5 + 11*B*a**6*e**5 - 45*B*a**5*b*d*e**4 + 70*B*a**4*b**2*d**2*e**3 - 50*B*a**3*b**3*d**3*e**2 + 15*B*a**2*b**4*d**4*e - B*a*b**5*d**5 + x*(-10*A*a**4*b**2*e**5 + 40*A*a**3*b**3*d*e**4 - 60*A*a**2*b**4*d**2*e**3 + 40*A*a*b**5*d**3*e**2 - 10*A*b**6*d**4*e + 12*B*a**5*b*e**5 - 50*B*a**4*b**2*d*e**4 + 80*B*a**3*b**3*d**2*e**3 - 60*B*a**2*b**4*d**3*e**2 + 20*B*a*b**5*d**4*e - 2*B*b**6*d**5))/(2*a**2*b**7 + 4*a*b**8*x + 2*b**9*x**2) + 5*e*(a*e - b*d)**3*(-2*A*b*e + 3*B*a*e - B*b*d)*log(a + b*x)/b**7","B",0
1134,1,444,0,8.095809," ","integrate((B*x+A)*(e*x+d)**4/(b*x+a)**3,x)","\frac{B e^{4} x^{3}}{3 b^{3}} + x^{2} \left(\frac{A e^{4}}{2 b^{3}} - \frac{3 B a e^{4}}{2 b^{4}} + \frac{2 B d e^{3}}{b^{3}}\right) + x \left(- \frac{3 A a e^{4}}{b^{4}} + \frac{4 A d e^{3}}{b^{3}} + \frac{6 B a^{2} e^{4}}{b^{5}} - \frac{12 B a d e^{3}}{b^{4}} + \frac{6 B d^{2} e^{2}}{b^{3}}\right) + \frac{7 A a^{4} b e^{4} - 20 A a^{3} b^{2} d e^{3} + 18 A a^{2} b^{3} d^{2} e^{2} - 4 A a b^{4} d^{3} e - A b^{5} d^{4} - 9 B a^{5} e^{4} + 28 B a^{4} b d e^{3} - 30 B a^{3} b^{2} d^{2} e^{2} + 12 B a^{2} b^{3} d^{3} e - B a b^{4} d^{4} + x \left(8 A a^{3} b^{2} e^{4} - 24 A a^{2} b^{3} d e^{3} + 24 A a b^{4} d^{2} e^{2} - 8 A b^{5} d^{3} e - 10 B a^{4} b e^{4} + 32 B a^{3} b^{2} d e^{3} - 36 B a^{2} b^{3} d^{2} e^{2} + 16 B a b^{4} d^{3} e - 2 B b^{5} d^{4}\right)}{2 a^{2} b^{6} + 4 a b^{7} x + 2 b^{8} x^{2}} - \frac{2 e \left(a e - b d\right)^{2} \left(- 3 A b e + 5 B a e - 2 B b d\right) \log{\left(a + b x \right)}}{b^{6}}"," ",0,"B*e**4*x**3/(3*b**3) + x**2*(A*e**4/(2*b**3) - 3*B*a*e**4/(2*b**4) + 2*B*d*e**3/b**3) + x*(-3*A*a*e**4/b**4 + 4*A*d*e**3/b**3 + 6*B*a**2*e**4/b**5 - 12*B*a*d*e**3/b**4 + 6*B*d**2*e**2/b**3) + (7*A*a**4*b*e**4 - 20*A*a**3*b**2*d*e**3 + 18*A*a**2*b**3*d**2*e**2 - 4*A*a*b**4*d**3*e - A*b**5*d**4 - 9*B*a**5*e**4 + 28*B*a**4*b*d*e**3 - 30*B*a**3*b**2*d**2*e**2 + 12*B*a**2*b**3*d**3*e - B*a*b**4*d**4 + x*(8*A*a**3*b**2*e**4 - 24*A*a**2*b**3*d*e**3 + 24*A*a*b**4*d**2*e**2 - 8*A*b**5*d**3*e - 10*B*a**4*b*e**4 + 32*B*a**3*b**2*d*e**3 - 36*B*a**2*b**3*d**2*e**2 + 16*B*a*b**4*d**3*e - 2*B*b**5*d**4))/(2*a**2*b**6 + 4*a*b**7*x + 2*b**8*x**2) - 2*e*(a*e - b*d)**2*(-3*A*b*e + 5*B*a*e - 2*B*b*d)*log(a + b*x)/b**6","B",0
1135,1,299,0,5.091572," ","integrate((B*x+A)*(e*x+d)**3/(b*x+a)**3,x)","\frac{B e^{3} x^{2}}{2 b^{3}} + x \left(\frac{A e^{3}}{b^{3}} - \frac{3 B a e^{3}}{b^{4}} + \frac{3 B d e^{2}}{b^{3}}\right) + \frac{- 5 A a^{3} b e^{3} + 9 A a^{2} b^{2} d e^{2} - 3 A a b^{3} d^{2} e - A b^{4} d^{3} + 7 B a^{4} e^{3} - 15 B a^{3} b d e^{2} + 9 B a^{2} b^{2} d^{2} e - B a b^{3} d^{3} + x \left(- 6 A a^{2} b^{2} e^{3} + 12 A a b^{3} d e^{2} - 6 A b^{4} d^{2} e + 8 B a^{3} b e^{3} - 18 B a^{2} b^{2} d e^{2} + 12 B a b^{3} d^{2} e - 2 B b^{4} d^{3}\right)}{2 a^{2} b^{5} + 4 a b^{6} x + 2 b^{7} x^{2}} + \frac{3 e \left(a e - b d\right) \left(- A b e + 2 B a e - B b d\right) \log{\left(a + b x \right)}}{b^{5}}"," ",0,"B*e**3*x**2/(2*b**3) + x*(A*e**3/b**3 - 3*B*a*e**3/b**4 + 3*B*d*e**2/b**3) + (-5*A*a**3*b*e**3 + 9*A*a**2*b**2*d*e**2 - 3*A*a*b**3*d**2*e - A*b**4*d**3 + 7*B*a**4*e**3 - 15*B*a**3*b*d*e**2 + 9*B*a**2*b**2*d**2*e - B*a*b**3*d**3 + x*(-6*A*a**2*b**2*e**3 + 12*A*a*b**3*d*e**2 - 6*A*b**4*d**2*e + 8*B*a**3*b*e**3 - 18*B*a**2*b**2*d*e**2 + 12*B*a*b**3*d**2*e - 2*B*b**4*d**3))/(2*a**2*b**5 + 4*a*b**6*x + 2*b**7*x**2) + 3*e*(a*e - b*d)*(-A*b*e + 2*B*a*e - B*b*d)*log(a + b*x)/b**5","B",0
1136,1,187,0,2.685281," ","integrate((B*x+A)*(e*x+d)**2/(b*x+a)**3,x)","\frac{B e^{2} x}{b^{3}} + \frac{3 A a^{2} b e^{2} - 2 A a b^{2} d e - A b^{3} d^{2} - 5 B a^{3} e^{2} + 6 B a^{2} b d e - B a b^{2} d^{2} + x \left(4 A a b^{2} e^{2} - 4 A b^{3} d e - 6 B a^{2} b e^{2} + 8 B a b^{2} d e - 2 B b^{3} d^{2}\right)}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{e \left(- A b e + 3 B a e - 2 B b d\right) \log{\left(a + b x \right)}}{b^{4}}"," ",0,"B*e**2*x/b**3 + (3*A*a**2*b*e**2 - 2*A*a*b**2*d*e - A*b**3*d**2 - 5*B*a**3*e**2 + 6*B*a**2*b*d*e - B*a*b**2*d**2 + x*(4*A*a*b**2*e**2 - 4*A*b**3*d*e - 6*B*a**2*b*e**2 + 8*B*a*b**2*d*e - 2*B*b**3*d**2))/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - e*(-A*b*e + 3*B*a*e - 2*B*b*d)*log(a + b*x)/b**4","A",0
1137,1,94,0,0.853845," ","integrate((B*x+A)*(e*x+d)/(b*x+a)**3,x)","\frac{B e \log{\left(a + b x \right)}}{b^{3}} + \frac{- A a b e - A b^{2} d + 3 B a^{2} e - B a b d + x \left(- 2 A b^{2} e + 4 B a b e - 2 B b^{2} d\right)}{2 a^{2} b^{3} + 4 a b^{4} x + 2 b^{5} x^{2}}"," ",0,"B*e*log(a + b*x)/b**3 + (-A*a*b*e - A*b**2*d + 3*B*a**2*e - B*a*b*d + x*(-2*A*b**2*e + 4*B*a*b*e - 2*B*b**2*d))/(2*a**2*b**3 + 4*a*b**4*x + 2*b**5*x**2)","A",0
1138,1,39,0,0.264239," ","integrate((B*x+A)/(b*x+a)**3,x)","\frac{- A b - B a - 2 B b x}{2 a^{2} b^{2} + 4 a b^{3} x + 2 b^{4} x^{2}}"," ",0,"(-A*b - B*a - 2*B*b*x)/(2*a**2*b**2 + 4*a*b**3*x + 2*b**4*x**2)","A",0
1139,1,558,0,2.096709," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d),x)","- \frac{e \left(- A e + B d\right) \log{\left(x + \frac{- A a e^{3} - A b d e^{2} + B a d e^{2} + B b d^{2} e - \frac{a^{4} e^{5} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} + \frac{4 a^{3} b d e^{4} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} - \frac{6 a^{2} b^{2} d^{2} e^{3} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} + \frac{4 a b^{3} d^{3} e^{2} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} - \frac{b^{4} d^{4} e \left(- A e + B d\right)}{\left(a e - b d\right)^{3}}}{- 2 A b e^{3} + 2 B b d e^{2}} \right)}}{\left(a e - b d\right)^{3}} + \frac{e \left(- A e + B d\right) \log{\left(x + \frac{- A a e^{3} - A b d e^{2} + B a d e^{2} + B b d^{2} e + \frac{a^{4} e^{5} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} - \frac{4 a^{3} b d e^{4} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} + \frac{6 a^{2} b^{2} d^{2} e^{3} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} - \frac{4 a b^{3} d^{3} e^{2} \left(- A e + B d\right)}{\left(a e - b d\right)^{3}} + \frac{b^{4} d^{4} e \left(- A e + B d\right)}{\left(a e - b d\right)^{3}}}{- 2 A b e^{3} + 2 B b d e^{2}} \right)}}{\left(a e - b d\right)^{3}} + \frac{3 A a b e - A b^{2} d - B a^{2} e - B a b d + x \left(2 A b^{2} e - 2 B b^{2} d\right)}{2 a^{4} b e^{2} - 4 a^{3} b^{2} d e + 2 a^{2} b^{3} d^{2} + x^{2} \left(2 a^{2} b^{3} e^{2} - 4 a b^{4} d e + 2 b^{5} d^{2}\right) + x \left(4 a^{3} b^{2} e^{2} - 8 a^{2} b^{3} d e + 4 a b^{4} d^{2}\right)}"," ",0,"-e*(-A*e + B*d)*log(x + (-A*a*e**3 - A*b*d*e**2 + B*a*d*e**2 + B*b*d**2*e - a**4*e**5*(-A*e + B*d)/(a*e - b*d)**3 + 4*a**3*b*d*e**4*(-A*e + B*d)/(a*e - b*d)**3 - 6*a**2*b**2*d**2*e**3*(-A*e + B*d)/(a*e - b*d)**3 + 4*a*b**3*d**3*e**2*(-A*e + B*d)/(a*e - b*d)**3 - b**4*d**4*e*(-A*e + B*d)/(a*e - b*d)**3)/(-2*A*b*e**3 + 2*B*b*d*e**2))/(a*e - b*d)**3 + e*(-A*e + B*d)*log(x + (-A*a*e**3 - A*b*d*e**2 + B*a*d*e**2 + B*b*d**2*e + a**4*e**5*(-A*e + B*d)/(a*e - b*d)**3 - 4*a**3*b*d*e**4*(-A*e + B*d)/(a*e - b*d)**3 + 6*a**2*b**2*d**2*e**3*(-A*e + B*d)/(a*e - b*d)**3 - 4*a*b**3*d**3*e**2*(-A*e + B*d)/(a*e - b*d)**3 + b**4*d**4*e*(-A*e + B*d)/(a*e - b*d)**3)/(-2*A*b*e**3 + 2*B*b*d*e**2))/(a*e - b*d)**3 + (3*A*a*b*e - A*b**2*d - B*a**2*e - B*a*b*d + x*(2*A*b**2*e - 2*B*b**2*d))/(2*a**4*b*e**2 - 4*a**3*b**2*d*e + 2*a**2*b**3*d**2 + x**2*(2*a**2*b**3*e**2 - 4*a*b**4*d*e + 2*b**5*d**2) + x*(4*a**3*b**2*e**2 - 8*a**2*b**3*d*e + 4*a*b**4*d**2))","B",0
1140,1,1066,0,4.037532," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d)**2,x)","\frac{e \left(- 3 A b e + B a e + 2 B b d\right) \log{\left(x + \frac{- 3 A a b e^{3} - 3 A b^{2} d e^{2} + B a^{2} e^{3} + 3 B a b d e^{2} + 2 B b^{2} d^{2} e - \frac{a^{5} e^{6} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} + \frac{5 a^{4} b d e^{5} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} - \frac{10 a^{3} b^{2} d^{2} e^{4} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} + \frac{10 a^{2} b^{3} d^{3} e^{3} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} - \frac{5 a b^{4} d^{4} e^{2} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} + \frac{b^{5} d^{5} e \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}}}{- 6 A b^{2} e^{3} + 2 B a b e^{3} + 4 B b^{2} d e^{2}} \right)}}{\left(a e - b d\right)^{4}} - \frac{e \left(- 3 A b e + B a e + 2 B b d\right) \log{\left(x + \frac{- 3 A a b e^{3} - 3 A b^{2} d e^{2} + B a^{2} e^{3} + 3 B a b d e^{2} + 2 B b^{2} d^{2} e + \frac{a^{5} e^{6} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} - \frac{5 a^{4} b d e^{5} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} + \frac{10 a^{3} b^{2} d^{2} e^{4} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} - \frac{10 a^{2} b^{3} d^{3} e^{3} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} + \frac{5 a b^{4} d^{4} e^{2} \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}} - \frac{b^{5} d^{5} e \left(- 3 A b e + B a e + 2 B b d\right)}{\left(a e - b d\right)^{4}}}{- 6 A b^{2} e^{3} + 2 B a b e^{3} + 4 B b^{2} d e^{2}} \right)}}{\left(a e - b d\right)^{4}} + \frac{- 2 A a^{2} e^{2} - 5 A a b d e + A b^{2} d^{2} + 5 B a^{2} d e + B a b d^{2} + x^{2} \left(- 6 A b^{2} e^{2} + 2 B a b e^{2} + 4 B b^{2} d e\right) + x \left(- 9 A a b e^{2} - 3 A b^{2} d e + 3 B a^{2} e^{2} + 7 B a b d e + 2 B b^{2} d^{2}\right)}{2 a^{5} d e^{3} - 6 a^{4} b d^{2} e^{2} + 6 a^{3} b^{2} d^{3} e - 2 a^{2} b^{3} d^{4} + x^{3} \left(2 a^{3} b^{2} e^{4} - 6 a^{2} b^{3} d e^{3} + 6 a b^{4} d^{2} e^{2} - 2 b^{5} d^{3} e\right) + x^{2} \left(4 a^{4} b e^{4} - 10 a^{3} b^{2} d e^{3} + 6 a^{2} b^{3} d^{2} e^{2} + 2 a b^{4} d^{3} e - 2 b^{5} d^{4}\right) + x \left(2 a^{5} e^{4} - 2 a^{4} b d e^{3} - 6 a^{3} b^{2} d^{2} e^{2} + 10 a^{2} b^{3} d^{3} e - 4 a b^{4} d^{4}\right)}"," ",0,"e*(-3*A*b*e + B*a*e + 2*B*b*d)*log(x + (-3*A*a*b*e**3 - 3*A*b**2*d*e**2 + B*a**2*e**3 + 3*B*a*b*d*e**2 + 2*B*b**2*d**2*e - a**5*e**6*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 + 5*a**4*b*d*e**5*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 - 10*a**3*b**2*d**2*e**4*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 + 10*a**2*b**3*d**3*e**3*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 - 5*a*b**4*d**4*e**2*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 + b**5*d**5*e*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4)/(-6*A*b**2*e**3 + 2*B*a*b*e**3 + 4*B*b**2*d*e**2))/(a*e - b*d)**4 - e*(-3*A*b*e + B*a*e + 2*B*b*d)*log(x + (-3*A*a*b*e**3 - 3*A*b**2*d*e**2 + B*a**2*e**3 + 3*B*a*b*d*e**2 + 2*B*b**2*d**2*e + a**5*e**6*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 - 5*a**4*b*d*e**5*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 + 10*a**3*b**2*d**2*e**4*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 - 10*a**2*b**3*d**3*e**3*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 + 5*a*b**4*d**4*e**2*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4 - b**5*d**5*e*(-3*A*b*e + B*a*e + 2*B*b*d)/(a*e - b*d)**4)/(-6*A*b**2*e**3 + 2*B*a*b*e**3 + 4*B*b**2*d*e**2))/(a*e - b*d)**4 + (-2*A*a**2*e**2 - 5*A*a*b*d*e + A*b**2*d**2 + 5*B*a**2*d*e + B*a*b*d**2 + x**2*(-6*A*b**2*e**2 + 2*B*a*b*e**2 + 4*B*b**2*d*e) + x*(-9*A*a*b*e**2 - 3*A*b**2*d*e + 3*B*a**2*e**2 + 7*B*a*b*d*e + 2*B*b**2*d**2))/(2*a**5*d*e**3 - 6*a**4*b*d**2*e**2 + 6*a**3*b**2*d**3*e - 2*a**2*b**3*d**4 + x**3*(2*a**3*b**2*e**4 - 6*a**2*b**3*d*e**3 + 6*a*b**4*d**2*e**2 - 2*b**5*d**3*e) + x**2*(4*a**4*b*e**4 - 10*a**3*b**2*d*e**3 + 6*a**2*b**3*d**2*e**2 + 2*a*b**4*d**3*e - 2*b**5*d**4) + x*(2*a**5*e**4 - 2*a**4*b*d*e**3 - 6*a**3*b**2*d**2*e**2 + 10*a**2*b**3*d**3*e - 4*a*b**4*d**4))","B",0
1141,1,1431,0,5.666171," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d)**3,x)","- \frac{3 b e \left(- 2 A b e + B a e + B b d\right) \log{\left(x + \frac{- 6 A a b^{2} e^{3} - 6 A b^{3} d e^{2} + 3 B a^{2} b e^{3} + 6 B a b^{2} d e^{2} + 3 B b^{3} d^{2} e - \frac{3 a^{6} b e^{7} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{18 a^{5} b^{2} d e^{6} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{45 a^{4} b^{3} d^{2} e^{5} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{60 a^{3} b^{4} d^{3} e^{4} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{45 a^{2} b^{5} d^{4} e^{3} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{18 a b^{6} d^{5} e^{2} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{3 b^{7} d^{6} e \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}}}{- 12 A b^{3} e^{3} + 6 B a b^{2} e^{3} + 6 B b^{3} d e^{2}} \right)}}{\left(a e - b d\right)^{5}} + \frac{3 b e \left(- 2 A b e + B a e + B b d\right) \log{\left(x + \frac{- 6 A a b^{2} e^{3} - 6 A b^{3} d e^{2} + 3 B a^{2} b e^{3} + 6 B a b^{2} d e^{2} + 3 B b^{3} d^{2} e + \frac{3 a^{6} b e^{7} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{18 a^{5} b^{2} d e^{6} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{45 a^{4} b^{3} d^{2} e^{5} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{60 a^{3} b^{4} d^{3} e^{4} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{45 a^{2} b^{5} d^{4} e^{3} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} - \frac{18 a b^{6} d^{5} e^{2} \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}} + \frac{3 b^{7} d^{6} e \left(- 2 A b e + B a e + B b d\right)}{\left(a e - b d\right)^{5}}}{- 12 A b^{3} e^{3} + 6 B a b^{2} e^{3} + 6 B b^{3} d e^{2}} \right)}}{\left(a e - b d\right)^{5}} + \frac{- A a^{3} e^{3} + 7 A a^{2} b d e^{2} + 7 A a b^{2} d^{2} e - A b^{3} d^{3} - B a^{3} d e^{2} - 10 B a^{2} b d^{2} e - B a b^{2} d^{3} + x^{3} \left(12 A b^{3} e^{3} - 6 B a b^{2} e^{3} - 6 B b^{3} d e^{2}\right) + x^{2} \left(18 A a b^{2} e^{3} + 18 A b^{3} d e^{2} - 9 B a^{2} b e^{3} - 18 B a b^{2} d e^{2} - 9 B b^{3} d^{2} e\right) + x \left(4 A a^{2} b e^{3} + 28 A a b^{2} d e^{2} + 4 A b^{3} d^{2} e - 2 B a^{3} e^{3} - 16 B a^{2} b d e^{2} - 16 B a b^{2} d^{2} e - 2 B b^{3} d^{3}\right)}{2 a^{6} d^{2} e^{4} - 8 a^{5} b d^{3} e^{3} + 12 a^{4} b^{2} d^{4} e^{2} - 8 a^{3} b^{3} d^{5} e + 2 a^{2} b^{4} d^{6} + x^{4} \left(2 a^{4} b^{2} e^{6} - 8 a^{3} b^{3} d e^{5} + 12 a^{2} b^{4} d^{2} e^{4} - 8 a b^{5} d^{3} e^{3} + 2 b^{6} d^{4} e^{2}\right) + x^{3} \left(4 a^{5} b e^{6} - 12 a^{4} b^{2} d e^{5} + 8 a^{3} b^{3} d^{2} e^{4} + 8 a^{2} b^{4} d^{3} e^{3} - 12 a b^{5} d^{4} e^{2} + 4 b^{6} d^{5} e\right) + x^{2} \left(2 a^{6} e^{6} - 18 a^{4} b^{2} d^{2} e^{4} + 32 a^{3} b^{3} d^{3} e^{3} - 18 a^{2} b^{4} d^{4} e^{2} + 2 b^{6} d^{6}\right) + x \left(4 a^{6} d e^{5} - 12 a^{5} b d^{2} e^{4} + 8 a^{4} b^{2} d^{3} e^{3} + 8 a^{3} b^{3} d^{4} e^{2} - 12 a^{2} b^{4} d^{5} e + 4 a b^{5} d^{6}\right)}"," ",0,"-3*b*e*(-2*A*b*e + B*a*e + B*b*d)*log(x + (-6*A*a*b**2*e**3 - 6*A*b**3*d*e**2 + 3*B*a**2*b*e**3 + 6*B*a*b**2*d*e**2 + 3*B*b**3*d**2*e - 3*a**6*b*e**7*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 + 18*a**5*b**2*d*e**6*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 - 45*a**4*b**3*d**2*e**5*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 + 60*a**3*b**4*d**3*e**4*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 - 45*a**2*b**5*d**4*e**3*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 + 18*a*b**6*d**5*e**2*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 - 3*b**7*d**6*e*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5)/(-12*A*b**3*e**3 + 6*B*a*b**2*e**3 + 6*B*b**3*d*e**2))/(a*e - b*d)**5 + 3*b*e*(-2*A*b*e + B*a*e + B*b*d)*log(x + (-6*A*a*b**2*e**3 - 6*A*b**3*d*e**2 + 3*B*a**2*b*e**3 + 6*B*a*b**2*d*e**2 + 3*B*b**3*d**2*e + 3*a**6*b*e**7*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 - 18*a**5*b**2*d*e**6*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 + 45*a**4*b**3*d**2*e**5*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 - 60*a**3*b**4*d**3*e**4*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 + 45*a**2*b**5*d**4*e**3*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 - 18*a*b**6*d**5*e**2*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5 + 3*b**7*d**6*e*(-2*A*b*e + B*a*e + B*b*d)/(a*e - b*d)**5)/(-12*A*b**3*e**3 + 6*B*a*b**2*e**3 + 6*B*b**3*d*e**2))/(a*e - b*d)**5 + (-A*a**3*e**3 + 7*A*a**2*b*d*e**2 + 7*A*a*b**2*d**2*e - A*b**3*d**3 - B*a**3*d*e**2 - 10*B*a**2*b*d**2*e - B*a*b**2*d**3 + x**3*(12*A*b**3*e**3 - 6*B*a*b**2*e**3 - 6*B*b**3*d*e**2) + x**2*(18*A*a*b**2*e**3 + 18*A*b**3*d*e**2 - 9*B*a**2*b*e**3 - 18*B*a*b**2*d*e**2 - 9*B*b**3*d**2*e) + x*(4*A*a**2*b*e**3 + 28*A*a*b**2*d*e**2 + 4*A*b**3*d**2*e - 2*B*a**3*e**3 - 16*B*a**2*b*d*e**2 - 16*B*a*b**2*d**2*e - 2*B*b**3*d**3))/(2*a**6*d**2*e**4 - 8*a**5*b*d**3*e**3 + 12*a**4*b**2*d**4*e**2 - 8*a**3*b**3*d**5*e + 2*a**2*b**4*d**6 + x**4*(2*a**4*b**2*e**6 - 8*a**3*b**3*d*e**5 + 12*a**2*b**4*d**2*e**4 - 8*a*b**5*d**3*e**3 + 2*b**6*d**4*e**2) + x**3*(4*a**5*b*e**6 - 12*a**4*b**2*d*e**5 + 8*a**3*b**3*d**2*e**4 + 8*a**2*b**4*d**3*e**3 - 12*a*b**5*d**4*e**2 + 4*b**6*d**5*e) + x**2*(2*a**6*e**6 - 18*a**4*b**2*d**2*e**4 + 32*a**3*b**3*d**3*e**3 - 18*a**2*b**4*d**4*e**2 + 2*b**6*d**6) + x*(4*a**6*d*e**5 - 12*a**5*b*d**2*e**4 + 8*a**4*b**2*d**3*e**3 + 8*a**3*b**3*d**4*e**2 - 12*a**2*b**4*d**5*e + 4*a*b**5*d**6))","B",0
1142,1,1975,0,8.050998," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d)**4,x)","\frac{2 b^{2} e \left(- 5 A b e + 3 B a e + 2 B b d\right) \log{\left(x + \frac{- 10 A a b^{3} e^{3} - 10 A b^{4} d e^{2} + 6 B a^{2} b^{2} e^{3} + 10 B a b^{3} d e^{2} + 4 B b^{4} d^{2} e - \frac{2 a^{7} b^{2} e^{8} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} + \frac{14 a^{6} b^{3} d e^{7} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} - \frac{42 a^{5} b^{4} d^{2} e^{6} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} + \frac{70 a^{4} b^{5} d^{3} e^{5} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} - \frac{70 a^{3} b^{6} d^{4} e^{4} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} + \frac{42 a^{2} b^{7} d^{5} e^{3} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} - \frac{14 a b^{8} d^{6} e^{2} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} + \frac{2 b^{9} d^{7} e \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}}}{- 20 A b^{4} e^{3} + 12 B a b^{3} e^{3} + 8 B b^{4} d e^{2}} \right)}}{\left(a e - b d\right)^{6}} - \frac{2 b^{2} e \left(- 5 A b e + 3 B a e + 2 B b d\right) \log{\left(x + \frac{- 10 A a b^{3} e^{3} - 10 A b^{4} d e^{2} + 6 B a^{2} b^{2} e^{3} + 10 B a b^{3} d e^{2} + 4 B b^{4} d^{2} e + \frac{2 a^{7} b^{2} e^{8} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} - \frac{14 a^{6} b^{3} d e^{7} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} + \frac{42 a^{5} b^{4} d^{2} e^{6} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} - \frac{70 a^{4} b^{5} d^{3} e^{5} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} + \frac{70 a^{3} b^{6} d^{4} e^{4} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} - \frac{42 a^{2} b^{7} d^{5} e^{3} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} + \frac{14 a b^{8} d^{6} e^{2} \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}} - \frac{2 b^{9} d^{7} e \left(- 5 A b e + 3 B a e + 2 B b d\right)}{\left(a e - b d\right)^{6}}}{- 20 A b^{4} e^{3} + 12 B a b^{3} e^{3} + 8 B b^{4} d e^{2}} \right)}}{\left(a e - b d\right)^{6}} + \frac{- 2 A a^{4} e^{4} + 13 A a^{3} b d e^{3} - 47 A a^{2} b^{2} d^{2} e^{2} - 27 A a b^{3} d^{3} e + 3 A b^{4} d^{4} - B a^{4} d e^{3} + 11 B a^{3} b d^{2} e^{2} + 47 B a^{2} b^{2} d^{3} e + 3 B a b^{3} d^{4} + x^{4} \left(- 60 A b^{4} e^{4} + 36 B a b^{3} e^{4} + 24 B b^{4} d e^{3}\right) + x^{3} \left(- 90 A a b^{3} e^{4} - 150 A b^{4} d e^{3} + 54 B a^{2} b^{2} e^{4} + 126 B a b^{3} d e^{3} + 60 B b^{4} d^{2} e^{2}\right) + x^{2} \left(- 20 A a^{2} b^{2} e^{4} - 230 A a b^{3} d e^{3} - 110 A b^{4} d^{2} e^{2} + 12 B a^{3} b e^{4} + 146 B a^{2} b^{2} d e^{3} + 158 B a b^{3} d^{2} e^{2} + 44 B b^{4} d^{3} e\right) + x \left(5 A a^{3} b e^{4} - 55 A a^{2} b^{2} d e^{3} - 175 A a b^{3} d^{2} e^{2} - 15 A b^{4} d^{3} e - 3 B a^{4} e^{4} + 31 B a^{3} b d e^{3} + 127 B a^{2} b^{2} d^{2} e^{2} + 79 B a b^{3} d^{3} e + 6 B b^{4} d^{4}\right)}{6 a^{7} d^{3} e^{5} - 30 a^{6} b d^{4} e^{4} + 60 a^{5} b^{2} d^{5} e^{3} - 60 a^{4} b^{3} d^{6} e^{2} + 30 a^{3} b^{4} d^{7} e - 6 a^{2} b^{5} d^{8} + x^{5} \left(6 a^{5} b^{2} e^{8} - 30 a^{4} b^{3} d e^{7} + 60 a^{3} b^{4} d^{2} e^{6} - 60 a^{2} b^{5} d^{3} e^{5} + 30 a b^{6} d^{4} e^{4} - 6 b^{7} d^{5} e^{3}\right) + x^{4} \left(12 a^{6} b e^{8} - 42 a^{5} b^{2} d e^{7} + 30 a^{4} b^{3} d^{2} e^{6} + 60 a^{3} b^{4} d^{3} e^{5} - 120 a^{2} b^{5} d^{4} e^{4} + 78 a b^{6} d^{5} e^{3} - 18 b^{7} d^{6} e^{2}\right) + x^{3} \left(6 a^{7} e^{8} + 6 a^{6} b d e^{7} - 102 a^{5} b^{2} d^{2} e^{6} + 210 a^{4} b^{3} d^{3} e^{5} - 150 a^{3} b^{4} d^{4} e^{4} - 6 a^{2} b^{5} d^{5} e^{3} + 54 a b^{6} d^{6} e^{2} - 18 b^{7} d^{7} e\right) + x^{2} \left(18 a^{7} d e^{7} - 54 a^{6} b d^{2} e^{6} + 6 a^{5} b^{2} d^{3} e^{5} + 150 a^{4} b^{3} d^{4} e^{4} - 210 a^{3} b^{4} d^{5} e^{3} + 102 a^{2} b^{5} d^{6} e^{2} - 6 a b^{6} d^{7} e - 6 b^{7} d^{8}\right) + x \left(18 a^{7} d^{2} e^{6} - 78 a^{6} b d^{3} e^{5} + 120 a^{5} b^{2} d^{4} e^{4} - 60 a^{4} b^{3} d^{5} e^{3} - 30 a^{3} b^{4} d^{6} e^{2} + 42 a^{2} b^{5} d^{7} e - 12 a b^{6} d^{8}\right)}"," ",0,"2*b**2*e*(-5*A*b*e + 3*B*a*e + 2*B*b*d)*log(x + (-10*A*a*b**3*e**3 - 10*A*b**4*d*e**2 + 6*B*a**2*b**2*e**3 + 10*B*a*b**3*d*e**2 + 4*B*b**4*d**2*e - 2*a**7*b**2*e**8*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 + 14*a**6*b**3*d*e**7*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 - 42*a**5*b**4*d**2*e**6*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 + 70*a**4*b**5*d**3*e**5*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 - 70*a**3*b**6*d**4*e**4*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 + 42*a**2*b**7*d**5*e**3*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 - 14*a*b**8*d**6*e**2*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 + 2*b**9*d**7*e*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6)/(-20*A*b**4*e**3 + 12*B*a*b**3*e**3 + 8*B*b**4*d*e**2))/(a*e - b*d)**6 - 2*b**2*e*(-5*A*b*e + 3*B*a*e + 2*B*b*d)*log(x + (-10*A*a*b**3*e**3 - 10*A*b**4*d*e**2 + 6*B*a**2*b**2*e**3 + 10*B*a*b**3*d*e**2 + 4*B*b**4*d**2*e + 2*a**7*b**2*e**8*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 - 14*a**6*b**3*d*e**7*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 + 42*a**5*b**4*d**2*e**6*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 - 70*a**4*b**5*d**3*e**5*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 + 70*a**3*b**6*d**4*e**4*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 - 42*a**2*b**7*d**5*e**3*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 + 14*a*b**8*d**6*e**2*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6 - 2*b**9*d**7*e*(-5*A*b*e + 3*B*a*e + 2*B*b*d)/(a*e - b*d)**6)/(-20*A*b**4*e**3 + 12*B*a*b**3*e**3 + 8*B*b**4*d*e**2))/(a*e - b*d)**6 + (-2*A*a**4*e**4 + 13*A*a**3*b*d*e**3 - 47*A*a**2*b**2*d**2*e**2 - 27*A*a*b**3*d**3*e + 3*A*b**4*d**4 - B*a**4*d*e**3 + 11*B*a**3*b*d**2*e**2 + 47*B*a**2*b**2*d**3*e + 3*B*a*b**3*d**4 + x**4*(-60*A*b**4*e**4 + 36*B*a*b**3*e**4 + 24*B*b**4*d*e**3) + x**3*(-90*A*a*b**3*e**4 - 150*A*b**4*d*e**3 + 54*B*a**2*b**2*e**4 + 126*B*a*b**3*d*e**3 + 60*B*b**4*d**2*e**2) + x**2*(-20*A*a**2*b**2*e**4 - 230*A*a*b**3*d*e**3 - 110*A*b**4*d**2*e**2 + 12*B*a**3*b*e**4 + 146*B*a**2*b**2*d*e**3 + 158*B*a*b**3*d**2*e**2 + 44*B*b**4*d**3*e) + x*(5*A*a**3*b*e**4 - 55*A*a**2*b**2*d*e**3 - 175*A*a*b**3*d**2*e**2 - 15*A*b**4*d**3*e - 3*B*a**4*e**4 + 31*B*a**3*b*d*e**3 + 127*B*a**2*b**2*d**2*e**2 + 79*B*a*b**3*d**3*e + 6*B*b**4*d**4))/(6*a**7*d**3*e**5 - 30*a**6*b*d**4*e**4 + 60*a**5*b**2*d**5*e**3 - 60*a**4*b**3*d**6*e**2 + 30*a**3*b**4*d**7*e - 6*a**2*b**5*d**8 + x**5*(6*a**5*b**2*e**8 - 30*a**4*b**3*d*e**7 + 60*a**3*b**4*d**2*e**6 - 60*a**2*b**5*d**3*e**5 + 30*a*b**6*d**4*e**4 - 6*b**7*d**5*e**3) + x**4*(12*a**6*b*e**8 - 42*a**5*b**2*d*e**7 + 30*a**4*b**3*d**2*e**6 + 60*a**3*b**4*d**3*e**5 - 120*a**2*b**5*d**4*e**4 + 78*a*b**6*d**5*e**3 - 18*b**7*d**6*e**2) + x**3*(6*a**7*e**8 + 6*a**6*b*d*e**7 - 102*a**5*b**2*d**2*e**6 + 210*a**4*b**3*d**3*e**5 - 150*a**3*b**4*d**4*e**4 - 6*a**2*b**5*d**5*e**3 + 54*a*b**6*d**6*e**2 - 18*b**7*d**7*e) + x**2*(18*a**7*d*e**7 - 54*a**6*b*d**2*e**6 + 6*a**5*b**2*d**3*e**5 + 150*a**4*b**3*d**4*e**4 - 210*a**3*b**4*d**5*e**3 + 102*a**2*b**5*d**6*e**2 - 6*a*b**6*d**7*e - 6*b**7*d**8) + x*(18*a**7*d**2*e**6 - 78*a**6*b*d**3*e**5 + 120*a**5*b**2*d**4*e**4 - 60*a**4*b**3*d**5*e**3 - 30*a**3*b**4*d**6*e**2 + 42*a**2*b**5*d**7*e - 12*a*b**6*d**8))","B",0
1143,1,60,0,0.075406," ","integrate((1-2*x)*(2+3*x)**8*(3+5*x),x)","- \frac{65610 x^{11}}{11} - \frac{356481 x^{10}}{10} - 92421 x^{9} - 133164 x^{8} - 110160 x^{7} - 41328 x^{6} + \frac{62496 x^{5}}{5} + 24576 x^{4} + \frac{42752 x^{3}}{3} + 4480 x^{2} + 768 x"," ",0,"-65610*x**11/11 - 356481*x**10/10 - 92421*x**9 - 133164*x**8 - 110160*x**7 - 41328*x**6 + 62496*x**5/5 + 24576*x**4 + 42752*x**3/3 + 4480*x**2 + 768*x","B",0
1144,1,51,0,0.072308," ","integrate((1-2*x)*(2+3*x)**7*(3+5*x),x)","- 2187 x^{10} - 11583 x^{9} - \frac{207765 x^{8}}{8} - 30942 x^{7} - 18774 x^{6} - 1512 x^{5} + 6468 x^{4} + \frac{15520 x^{3}}{3} + 1952 x^{2} + 384 x"," ",0,"-2187*x**10 - 11583*x**9 - 207765*x**8/8 - 30942*x**7 - 18774*x**6 - 1512*x**5 + 6468*x**4 + 15520*x**3/3 + 1952*x**2 + 384*x","A",0
1145,1,46,0,0.070755," ","integrate((1-2*x)*(2+3*x)**6*(3+5*x),x)","- 810 x^{9} - \frac{29889 x^{8}}{8} - 7047 x^{7} - 6552 x^{6} - 2268 x^{5} + 1260 x^{4} + \frac{5264 x^{3}}{3} + 832 x^{2} + 192 x"," ",0,"-810*x**9 - 29889*x**8/8 - 7047*x**7 - 6552*x**6 - 2268*x**5 + 1260*x**4 + 5264*x**3/3 + 832*x**2 + 192*x","A",0
1146,1,44,0,0.068937," ","integrate((1-2*x)*(2+3*x)**5*(3+5*x),x)","- \frac{1215 x^{8}}{4} - \frac{8343 x^{7}}{7} - \frac{3627 x^{6}}{2} - 1170 x^{5} + 30 x^{4} + \frac{1600 x^{3}}{3} + 344 x^{2} + 96 x"," ",0,"-1215*x**8/4 - 8343*x**7/7 - 3627*x**6/2 - 1170*x**5 + 30*x**4 + 1600*x**3/3 + 344*x**2 + 96*x","A",0
1147,1,39,0,0.066200," ","integrate((1-2*x)*(2+3*x)**4*(3+5*x),x)","- \frac{810 x^{7}}{7} - \frac{747 x^{6}}{2} - \frac{2133 x^{5}}{5} - 132 x^{4} + \frac{392 x^{3}}{3} + 136 x^{2} + 48 x"," ",0,"-810*x**7/7 - 747*x**6/2 - 2133*x**5/5 - 132*x**4 + 392*x**3/3 + 136*x**2 + 48*x","A",0
1148,1,32,0,0.065902," ","integrate((1-2*x)*(2+3*x)**3*(3+5*x),x)","- 45 x^{6} - \frac{567 x^{5}}{5} - \frac{333 x^{4}}{4} + \frac{46 x^{3}}{3} + 50 x^{2} + 24 x"," ",0,"-45*x**6 - 567*x**5/5 - 333*x**4/4 + 46*x**3/3 + 50*x**2 + 24*x","A",0
1149,1,26,0,0.062974," ","integrate((1-2*x)*(2+3*x)**2*(3+5*x),x)","- 18 x^{5} - \frac{129 x^{4}}{4} - \frac{25 x^{3}}{3} + 16 x^{2} + 12 x"," ",0,"-18*x**5 - 129*x**4/4 - 25*x**3/3 + 16*x**2 + 12*x","A",0
1150,1,22,0,0.057361," ","integrate((1-2*x)*(2+3*x)*(3+5*x),x)","- \frac{15 x^{4}}{2} - \frac{23 x^{3}}{3} + \frac{7 x^{2}}{2} + 6 x"," ",0,"-15*x**4/2 - 23*x**3/3 + 7*x**2/2 + 6*x","A",0
1151,1,14,0,0.056308," ","integrate((1-2*x)*(3+5*x),x)","- \frac{10 x^{3}}{3} - \frac{x^{2}}{2} + 3 x"," ",0,"-10*x**3/3 - x**2/2 + 3*x","A",0
1152,1,20,0,0.084358," ","integrate((1-2*x)*(3+5*x)/(2+3*x),x)","- \frac{5 x^{2}}{3} + \frac{17 x}{9} - \frac{7 \log{\left(3 x + 2 \right)}}{27}"," ",0,"-5*x**2/3 + 17*x/9 - 7*log(3*x + 2)/27","A",0
1153,1,20,0,0.099918," ","integrate((1-2*x)*(3+5*x)/(2+3*x)**2,x)","- \frac{10 x}{9} + \frac{37 \log{\left(3 x + 2 \right)}}{27} + \frac{7}{81 x + 54}"," ",0,"-10*x/9 + 37*log(3*x + 2)/27 + 7/(81*x + 54)","A",0
1154,1,26,0,0.113780," ","integrate((1-2*x)*(3+5*x)/(2+3*x)**3,x)","- \frac{74 x + 47}{162 x^{2} + 216 x + 72} - \frac{10 \log{\left(3 x + 2 \right)}}{27}"," ",0,"-(74*x + 47)/(162*x**2 + 216*x + 72) - 10*log(3*x + 2)/27","A",0
1155,1,27,0,0.122923," ","integrate((1-2*x)*(3+5*x)/(2+3*x)**4,x)","- \frac{- 540 x^{2} - 387 x - 32}{4374 x^{3} + 8748 x^{2} + 5832 x + 1296}"," ",0,"-(-540*x**2 - 387*x - 32)/(4374*x**3 + 8748*x**2 + 5832*x + 1296)","A",0
1156,1,31,0,0.130069," ","integrate((1-2*x)*(3+5*x)/(2+3*x)**5,x)","- \frac{- 540 x^{2} - 276 x + 35}{26244 x^{4} + 69984 x^{3} + 69984 x^{2} + 31104 x + 5184}"," ",0,"-(-540*x**2 - 276*x + 35)/(26244*x**4 + 69984*x**3 + 69984*x**2 + 31104*x + 5184)","A",0
1157,1,36,0,0.139349," ","integrate((1-2*x)*(3+5*x)/(2+3*x)**6,x)","- \frac{- 1800 x^{2} - 735 x + 226}{393660 x^{5} + 1312200 x^{4} + 1749600 x^{3} + 1166400 x^{2} + 388800 x + 51840}"," ",0,"-(-1800*x**2 - 735*x + 226)/(393660*x**5 + 1312200*x**4 + 1749600*x**3 + 1166400*x**2 + 388800*x + 51840)","A",0
1158,1,66,0,0.079077," ","integrate((1-2*x)*(2+3*x)**8*(3+5*x)**2,x)","- \frac{54675 x^{12}}{2} - \frac{1979235 x^{11}}{11} - \frac{2614194 x^{10}}{5} - 869103 x^{9} - 881442 x^{8} - 507600 x^{7} - 71904 x^{6} + \frac{679008 x^{5}}{5} + 127168 x^{4} + \frac{173056 x^{3}}{3} + 15360 x^{2} + 2304 x"," ",0,"-54675*x**12/2 - 1979235*x**11/11 - 2614194*x**10/5 - 869103*x**9 - 881442*x**8 - 507600*x**7 - 71904*x**6 + 679008*x**5/5 + 127168*x**4 + 173056*x**3/3 + 15360*x**2 + 2304*x","A",0
1159,1,60,0,0.076459," ","integrate((1-2*x)*(2+3*x)**7*(3+5*x)**2,x)","- \frac{109350 x^{11}}{11} - \frac{117369 x^{10}}{2} - 150174 x^{9} - \frac{1706265 x^{8}}{8} - 173286 x^{7} - 62622 x^{6} + 21336 x^{5} + 38804 x^{4} + \frac{66080 x^{3}}{3} + 6816 x^{2} + 1152 x"," ",0,"-109350*x**11/11 - 117369*x**10/2 - 150174*x**9 - 1706265*x**8/8 - 173286*x**7 - 62622*x**6 + 21336*x**5 + 38804*x**4 + 66080*x**3/3 + 6816*x**2 + 1152*x","A",0
1160,1,49,0,0.073618," ","integrate((1-2*x)*(2+3*x)**6*(3+5*x)**2,x)","- 3645 x^{10} - 19035 x^{9} - 42039 x^{8} - 49221 x^{7} - 29106 x^{6} - 1764 x^{5} + 10360 x^{4} + \frac{24112 x^{3}}{3} + 2976 x^{2} + 576 x"," ",0,"-3645*x**10 - 19035*x**9 - 42039*x**8 - 49221*x**7 - 29106*x**6 - 1764*x**5 + 10360*x**4 + 24112*x**3/3 + 2976*x**2 + 576*x","A",0
1161,1,49,0,0.072020," ","integrate((1-2*x)*(2+3*x)**5*(3+5*x)**2,x)","- 1350 x^{9} - \frac{49005 x^{8}}{8} - \frac{79434 x^{7}}{7} - \frac{20631 x^{6}}{2} - 3390 x^{5} + 2090 x^{4} + \frac{8240 x^{3}}{3} + 1272 x^{2} + 288 x"," ",0,"-1350*x**9 - 49005*x**8/8 - 79434*x**7/7 - 20631*x**6/2 - 3390*x**5 + 2090*x**4 + 8240*x**3/3 + 1272*x**2 + 288*x","A",0
1162,1,44,0,0.068402," ","integrate((1-2*x)*(2+3*x)**4*(3+5*x)**2,x)","- \frac{2025 x^{8}}{4} - \frac{13635 x^{7}}{7} - 2898 x^{6} - \frac{9039 x^{5}}{5} + 94 x^{4} + \frac{2536 x^{3}}{3} + 528 x^{2} + 144 x"," ",0,"-2025*x**8/4 - 13635*x**7/7 - 2898*x**6 - 9039*x**5/5 + 94*x**4 + 2536*x**3/3 + 528*x**2 + 144*x","A",0
1163,1,41,0,0.066790," ","integrate((1-2*x)*(2+3*x)**3*(3+5*x)**2,x)","- \frac{1350 x^{7}}{7} - \frac{1215 x^{6}}{2} - \frac{3366 x^{5}}{5} - \frac{769 x^{4}}{4} + \frac{638 x^{3}}{3} + 210 x^{2} + 72 x"," ",0,"-1350*x**7/7 - 1215*x**6/2 - 3366*x**5/5 - 769*x**4/4 + 638*x**3/3 + 210*x**2 + 72*x","A",0
1164,1,29,0,0.065047," ","integrate((1-2*x)*(2+3*x)**2*(3+5*x)**2,x)","- 75 x^{6} - 183 x^{5} - 128 x^{4} + \frac{85 x^{3}}{3} + 78 x^{2} + 36 x"," ",0,"-75*x**6 - 183*x**5 - 128*x**4 + 85*x**3/3 + 78*x**2 + 36*x","A",0
1165,1,27,0,0.063187," ","integrate((1-2*x)*(2+3*x)*(3+5*x)**2,x)","- 30 x^{5} - \frac{205 x^{4}}{4} - \frac{34 x^{3}}{3} + \frac{51 x^{2}}{2} + 18 x"," ",0,"-30*x**5 - 205*x**4/4 - 34*x**3/3 + 51*x**2/2 + 18*x","A",0
1166,1,20,0,0.061483," ","integrate((1-2*x)*(3+5*x)**2,x)","- \frac{25 x^{4}}{2} - \frac{35 x^{3}}{3} + 6 x^{2} + 9 x"," ",0,"-25*x**4/2 - 35*x**3/3 + 6*x**2 + 9*x","A",0
1167,1,27,0,0.091630," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x),x)","- \frac{50 x^{3}}{9} - \frac{5 x^{2}}{18} + \frac{118 x}{27} + \frac{7 \log{\left(3 x + 2 \right)}}{81}"," ",0,"-50*x**3/9 - 5*x**2/18 + 118*x/27 + 7*log(3*x + 2)/81","A",0
1168,1,27,0,0.103833," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x)**2,x)","- \frac{25 x^{2}}{9} + \frac{95 x}{27} - \frac{8 \log{\left(3 x + 2 \right)}}{9} - \frac{7}{243 x + 162}"," ",0,"-25*x**2/9 + 95*x/27 - 8*log(3*x + 2)/9 - 7/(243*x + 162)","A",0
1169,1,31,0,0.131419," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x)**3,x)","- \frac{50 x}{27} - \frac{- 432 x - 281}{1458 x^{2} + 1944 x + 648} + \frac{65 \log{\left(3 x + 2 \right)}}{27}"," ",0,"-50*x/27 - (-432*x - 281)/(1458*x**2 + 1944*x + 648) + 65*log(3*x + 2)/27","A",0
1170,1,36,0,0.139514," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x)**4,x)","- \frac{5265 x^{2} + 6696 x + 2131}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} - \frac{50 \log{\left(3 x + 2 \right)}}{81}"," ",0,"-(5265*x**2 + 6696*x + 2131)/(6561*x**3 + 13122*x**2 + 8748*x + 1944) - 50*log(3*x + 2)/81","A",0
1171,1,37,0,0.142406," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x)**5,x)","- \frac{- 600 x^{3} - 810 x^{2} - 312 x - 25}{2916 x^{4} + 7776 x^{3} + 7776 x^{2} + 3456 x + 576}"," ",0,"-(-600*x**3 - 810*x**2 - 312*x - 25)/(2916*x**4 + 7776*x**3 + 7776*x**2 + 3456*x + 576)","A",0
1172,1,41,0,0.150964," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x)**6,x)","- \frac{- 3375 x^{3} - 3825 x^{2} - 870 x + 127}{98415 x^{5} + 328050 x^{4} + 437400 x^{3} + 291600 x^{2} + 97200 x + 12960}"," ",0,"-(-3375*x**3 - 3825*x**2 - 870*x + 127)/(98415*x**5 + 328050*x**4 + 437400*x**3 + 291600*x**2 + 97200*x + 12960)","A",0
1173,1,46,0,0.158643," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x)**7,x)","- \frac{- 27000 x^{3} - 27675 x^{2} - 3492 x + 2042}{3542940 x^{6} + 14171760 x^{5} + 23619600 x^{4} + 20995200 x^{3} + 10497600 x^{2} + 2799360 x + 311040}"," ",0,"-(-27000*x**3 - 27675*x**2 - 3492*x + 2042)/(3542940*x**6 + 14171760*x**5 + 23619600*x**4 + 20995200*x**3 + 10497600*x**2 + 2799360*x + 311040)","A",0
1174,1,51,0,0.169403," ","integrate((1-2*x)*(3+5*x)**2/(2+3*x)**8,x)","- \frac{- 225 x^{3} - 216 x^{2} - 12 x + 22}{118098 x^{7} + 551124 x^{6} + 1102248 x^{5} + 1224720 x^{4} + 816480 x^{3} + 326592 x^{2} + 72576 x + 6912}"," ",0,"-(-225*x**3 - 216*x**2 - 12*x + 22)/(118098*x**7 + 551124*x**6 + 1102248*x**5 + 1224720*x**4 + 816480*x**3 + 326592*x**2 + 72576*x + 6912)","A",0
1175,1,71,0,0.081093," ","integrate((1-2*x)*(2+3*x)**8*(3+5*x)**3,x)","- \frac{1640250 x^{13}}{13} - \frac{3626775 x^{12}}{4} - \frac{32079645 x^{11}}{11} - \frac{54794799 x^{10}}{10} - 6524829 x^{9} - 4865076 x^{8} - 1830960 x^{7} + 350128 x^{6} + \frac{4580384 x^{5}}{5} + 597824 x^{4} + 224256 x^{3} + 51840 x^{2} + 6912 x"," ",0,"-1640250*x**13/13 - 3626775*x**12/4 - 32079645*x**11/11 - 54794799*x**10/10 - 6524829*x**9 - 4865076*x**8 - 1830960*x**7 + 350128*x**6 + 4580384*x**5/5 + 597824*x**4 + 224256*x**3 + 51840*x**2 + 6912*x","A",0
1176,1,65,0,0.079124," ","integrate((1-2*x)*(2+3*x)**7*(3+5*x)**3,x)","- \frac{91125 x^{12}}{2} - \frac{3262275 x^{11}}{11} - \frac{1703673 x^{10}}{2} - 1398447 x^{9} - \frac{11183805 x^{8}}{8} - 788238 x^{7} - 98966 x^{6} + 219224 x^{5} + 199012 x^{4} + 88800 x^{3} + 23328 x^{2} + 3456 x"," ",0,"-91125*x**12/2 - 3262275*x**11/11 - 1703673*x**10/2 - 1398447*x**9 - 11183805*x**8/8 - 788238*x**7 - 98966*x**6 + 219224*x**5 + 199012*x**4 + 88800*x**3 + 23328*x**2 + 3456*x","A",0
1177,1,58,0,0.077309," ","integrate((1-2*x)*(2+3*x)**6*(3+5*x)**3,x)","- \frac{182250 x^{11}}{11} - \frac{193185 x^{10}}{2} - 243945 x^{9} - \frac{2731671 x^{8}}{8} - 272403 x^{7} - 94668 x^{6} + 36148 x^{5} + 61220 x^{4} + 34032 x^{3} + 10368 x^{2} + 1728 x"," ",0,"-182250*x**11/11 - 193185*x**10/2 - 243945*x**9 - 2731671*x**8/8 - 272403*x**7 - 94668*x**6 + 36148*x**5 + 61220*x**4 + 34032*x**3 + 10368*x**2 + 1728*x","A",0
1178,1,53,0,0.076185," ","integrate((1-2*x)*(2+3*x)**5*(3+5*x)**3,x)","- 6075 x^{10} - 31275 x^{9} - \frac{544185 x^{8}}{8} - \frac{547767 x^{7}}{7} - \frac{90143 x^{6}}{2} - 1810 x^{5} + 16570 x^{4} + 12480 x^{3} + 4536 x^{2} + 864 x"," ",0,"-6075*x**10 - 31275*x**9 - 544185*x**8/8 - 547767*x**7/7 - 90143*x**6/2 - 1810*x**5 + 16570*x**4 + 12480*x**3 + 4536*x**2 + 864*x","A",0
1179,1,49,0,0.073360," ","integrate((1-2*x)*(2+3*x)**4*(3+5*x)**3,x)","- 2250 x^{9} - \frac{80325 x^{8}}{8} - \frac{127845 x^{7}}{7} - \frac{32453 x^{6}}{2} - \frac{25237 x^{5}}{5} + 3452 x^{4} + 4296 x^{3} + 1944 x^{2} + 432 x"," ",0,"-2250*x**9 - 80325*x**8/8 - 127845*x**7/7 - 32453*x**6/2 - 25237*x**5/5 + 3452*x**4 + 4296*x**3 + 1944*x**2 + 432*x","A",0
1180,1,46,0,0.070076," ","integrate((1-2*x)*(2+3*x)**3*(3+5*x)**3,x)","- \frac{3375 x^{8}}{4} - \frac{22275 x^{7}}{7} - \frac{9255 x^{6}}{2} - \frac{13943 x^{5}}{5} + \frac{883 x^{4}}{4} + 1338 x^{3} + 810 x^{2} + 216 x"," ",0,"-3375*x**8/4 - 22275*x**7/7 - 9255*x**6/2 - 13943*x**5/5 + 883*x**4/4 + 1338*x**3 + 810*x**2 + 216*x","A",0
1181,1,37,0,0.068818," ","integrate((1-2*x)*(2+3*x)**2*(3+5*x)**3,x)","- \frac{2250 x^{7}}{7} - \frac{1975 x^{6}}{2} - 1061 x^{5} - \frac{1111 x^{4}}{4} + 345 x^{3} + 324 x^{2} + 108 x"," ",0,"-2250*x**7/7 - 1975*x**6/2 - 1061*x**5 - 1111*x**4/4 + 345*x**3 + 324*x**2 + 108*x","A",0
1182,1,31,0,0.063880," ","integrate((1-2*x)*(2+3*x)*(3+5*x)**3,x)","- 125 x^{6} - 295 x^{5} - \frac{785 x^{4}}{4} + 51 x^{3} + \frac{243 x^{2}}{2} + 54 x"," ",0,"-125*x**6 - 295*x**5 - 785*x**4/4 + 51*x**3 + 243*x**2/2 + 54*x","A",0
1183,1,26,0,0.063911," ","integrate((1-2*x)*(3+5*x)**3,x)","- 50 x^{5} - \frac{325 x^{4}}{4} - 15 x^{3} + \frac{81 x^{2}}{2} + 27 x"," ",0,"-50*x**5 - 325*x**4/4 - 15*x**3 + 81*x**2/2 + 27*x","A",0
1184,1,34,0,0.094270," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x),x)","- \frac{125 x^{4}}{6} - \frac{475 x^{3}}{27} + \frac{545 x^{2}}{54} + \frac{1097 x}{81} - \frac{7 \log{\left(3 x + 2 \right)}}{243}"," ",0,"-125*x**4/6 - 475*x**3/27 + 545*x**2/54 + 1097*x/81 - 7*log(3*x + 2)/243","A",0
1185,1,34,0,0.116852," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x)**2,x)","- \frac{250 x^{3}}{27} + \frac{25 x^{2}}{54} + \frac{55 x}{9} + \frac{107 \log{\left(3 x + 2 \right)}}{243} + \frac{7}{729 x + 486}"," ",0,"-250*x**3/27 + 25*x**2/54 + 55*x/9 + 107*log(3*x + 2)/243 + 7/(729*x + 486)","A",0
1186,1,36,0,0.125545," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x)**3,x)","- \frac{125 x^{2}}{27} + \frac{175 x}{27} - \frac{642 x + 421}{4374 x^{2} + 5832 x + 1944} - \frac{185 \log{\left(3 x + 2 \right)}}{81}"," ",0,"-125*x**2/27 + 175*x/27 - (642*x + 421)/(4374*x**2 + 5832*x + 1944) - 185*log(3*x + 2)/81","A",0
1187,1,41,0,0.138347," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x)**4,x)","- \frac{250 x}{81} - \frac{- 29970 x^{2} - 38997 x - 12692}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{1025 \log{\left(3 x + 2 \right)}}{243}"," ",0,"-250*x/81 - (-29970*x**2 - 38997*x - 12692)/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 1025*log(3*x + 2)/243","A",0
1188,1,46,0,0.152218," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x)**5,x)","- \frac{332100 x^{3} + 634230 x^{2} + 404124 x + 85915}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{250 \log{\left(3 x + 2 \right)}}{243}"," ",0,"-(332100*x**3 + 634230*x**2 + 404124*x + 85915)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 250*log(3*x + 2)/243","A",0
1189,1,48,0,0.159307," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x)**6,x)","- \frac{- 405000 x^{4} - 803250 x^{3} - 559800 x^{2} - 153795 x - 11758}{1180980 x^{5} + 3936600 x^{4} + 5248800 x^{3} + 3499200 x^{2} + 1166400 x + 155520}"," ",0,"-(-405000*x**4 - 803250*x**3 - 559800*x**2 - 153795*x - 11758)/(1180980*x**5 + 3936600*x**4 + 5248800*x**3 + 3499200*x**2 + 1166400*x + 155520)","A",0
1190,1,51,0,0.168038," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x)**7,x)","- \frac{- 607500 x^{4} - 1066500 x^{3} - 587925 x^{2} - 78048 x + 13198}{10628820 x^{6} + 42515280 x^{5} + 70858800 x^{4} + 62985600 x^{3} + 31492800 x^{2} + 8398080 x + 933120}"," ",0,"-(-607500*x**4 - 1066500*x**3 - 587925*x**2 - 78048*x + 13198)/(10628820*x**6 + 42515280*x**5 + 70858800*x**4 + 62985600*x**3 + 31492800*x**2 + 8398080*x + 933120)","A",0
1191,1,56,0,0.176136," ","integrate((1-2*x)*(3+5*x)**3/(2+3*x)**8,x)","- \frac{- 81000 x^{4} - 132975 x^{3} - 61938 x^{2} - 642 x + 3688}{6377292 x^{7} + 29760696 x^{6} + 59521392 x^{5} + 66134880 x^{4} + 44089920 x^{3} + 17635968 x^{2} + 3919104 x + 373248}"," ",0,"-(-81000*x**4 - 132975*x**3 - 61938*x**2 - 642*x + 3688)/(6377292*x**7 + 29760696*x**6 + 59521392*x**5 + 66134880*x**4 + 44089920*x**3 + 17635968*x**2 + 3919104*x + 373248)","A",0
1192,1,54,0,0.081023," ","integrate((5-2*x)**6*(2+3*x)**3*(-16+33*x),x)","5184 x^{11} - 76896 x^{10} + 452304 x^{9} - 1256376 x^{8} + 1235404 x^{7} + 1497230 x^{6} - 3816225 x^{5} - \frac{98125 x^{4}}{2} + 3987500 x^{3} - 37500 x^{2} - 2000000 x"," ",0,"5184*x**11 - 76896*x**10 + 452304*x**9 - 1256376*x**8 + 1235404*x**7 + 1497230*x**6 - 3816225*x**5 - 98125*x**4/2 + 3987500*x**3 - 37500*x**2 - 2000000*x","B",0
1193,1,54,0,0.105678," ","integrate((1-2*x)*(2+3*x)**6/(3+5*x),x)","- \frac{1458 x^{7}}{35} - \frac{7047 x^{6}}{50} - \frac{106677 x^{5}}{625} - \frac{152469 x^{4}}{2500} + \frac{152469 x^{3}}{3125} + \frac{1777779 x^{2}}{31250} + \frac{1666663 x}{78125} + \frac{11 \log{\left(5 x + 3 \right)}}{390625}"," ",0,"-1458*x**7/35 - 7047*x**6/50 - 106677*x**5/625 - 152469*x**4/2500 + 152469*x**3/3125 + 1777779*x**2/31250 + 1666663*x/78125 + 11*log(5*x + 3)/390625","A",0
1194,1,48,0,0.100202," ","integrate((1-2*x)*(2+3*x)**5/(3+5*x),x)","- \frac{81 x^{6}}{5} - \frac{5427 x^{5}}{125} - \frac{17469 x^{4}}{500} + \frac{2469 x^{3}}{625} + \frac{127779 x^{2}}{6250} + \frac{166663 x}{15625} + \frac{11 \log{\left(5 x + 3 \right)}}{78125}"," ",0,"-81*x**6/5 - 5427*x**5/125 - 17469*x**4/500 + 2469*x**3/625 + 127779*x**2/6250 + 166663*x/15625 + 11*log(5*x + 3)/78125","A",0
1195,1,41,0,0.099546," ","integrate((1-2*x)*(2+3*x)**4/(3+5*x),x)","- \frac{162 x^{5}}{25} - \frac{1269 x^{4}}{100} - \frac{531 x^{3}}{125} + \frac{7779 x^{2}}{1250} + \frac{16663 x}{3125} + \frac{11 \log{\left(5 x + 3 \right)}}{15625}"," ",0,"-162*x**5/25 - 1269*x**4/100 - 531*x**3/125 + 7779*x**2/1250 + 16663*x/3125 + 11*log(5*x + 3)/15625","A",0
1196,1,34,0,0.095894," ","integrate((1-2*x)*(2+3*x)**3/(3+5*x),x)","- \frac{27 x^{4}}{10} - \frac{81 x^{3}}{25} + \frac{279 x^{2}}{250} + \frac{1663 x}{625} + \frac{11 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"-27*x**4/10 - 81*x**3/25 + 279*x**2/250 + 1663*x/625 + 11*log(5*x + 3)/3125","A",0
1197,1,27,0,0.091052," ","integrate((1-2*x)*(2+3*x)**2/(3+5*x),x)","- \frac{6 x^{3}}{5} - \frac{21 x^{2}}{50} + \frac{163 x}{125} + \frac{11 \log{\left(5 x + 3 \right)}}{625}"," ",0,"-6*x**3/5 - 21*x**2/50 + 163*x/125 + 11*log(5*x + 3)/625","A",0
1198,1,20,0,0.084800," ","integrate((1-2*x)*(2+3*x)/(3+5*x),x)","- \frac{3 x^{2}}{5} + \frac{13 x}{25} + \frac{11 \log{\left(5 x + 3 \right)}}{125}"," ",0,"-3*x**2/5 + 13*x/25 + 11*log(5*x + 3)/125","A",0
1199,1,14,0,0.077101," ","integrate((1-2*x)/(3+5*x),x)","- \frac{2 x}{5} + \frac{11 \log{\left(5 x + 3 \right)}}{25}"," ",0,"-2*x/5 + 11*log(5*x + 3)/25","A",0
1200,1,19,0,0.115440," ","integrate((1-2*x)/(2+3*x)/(3+5*x),x)","\frac{11 \log{\left(x + \frac{3}{5} \right)}}{5} - \frac{7 \log{\left(x + \frac{2}{3} \right)}}{3}"," ",0,"11*log(x + 3/5)/5 - 7*log(x + 2/3)/3","A",0
1201,1,22,0,0.119935," ","integrate((1-2*x)/(2+3*x)**2/(3+5*x),x)","11 \log{\left(x + \frac{3}{5} \right)} - 11 \log{\left(x + \frac{2}{3} \right)} + \frac{7}{9 x + 6}"," ",0,"11*log(x + 3/5) - 11*log(x + 2/3) + 7/(9*x + 6)","A",0
1202,1,32,0,0.134571," ","integrate((1-2*x)/(2+3*x)**3/(3+5*x),x)","- \frac{- 198 x - 139}{54 x^{2} + 72 x + 24} + 55 \log{\left(x + \frac{3}{5} \right)} - 55 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-198*x - 139)/(54*x**2 + 72*x + 24) + 55*log(x + 3/5) - 55*log(x + 2/3)","A",0
1203,1,42,0,0.152555," ","integrate((1-2*x)/(2+3*x)**4/(3+5*x),x)","- \frac{- 8910 x^{2} - 12177 x - 4172}{486 x^{3} + 972 x^{2} + 648 x + 144} + 275 \log{\left(x + \frac{3}{5} \right)} - 275 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-8910*x**2 - 12177*x - 4172)/(486*x**3 + 972*x**2 + 648*x + 144) + 275*log(x + 3/5) - 275*log(x + 2/3)","A",0
1204,1,53,0,0.167377," ","integrate((1-2*x)/(2+3*x)**5/(3+5*x),x)","- \frac{- 89100 x^{3} - 181170 x^{2} - 122892 x - 27815}{972 x^{4} + 2592 x^{3} + 2592 x^{2} + 1152 x + 192} + 1375 \log{\left(x + \frac{3}{5} \right)} - 1375 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-89100*x**3 - 181170*x**2 - 122892*x - 27815)/(972*x**4 + 2592*x**3 + 2592*x**2 + 1152*x + 192) + 1375*log(x + 3/5) - 1375*log(x + 2/3)","A",0
1205,1,63,0,0.176794," ","integrate((1-2*x)/(2+3*x)**6/(3+5*x),x)","- \frac{- 2227500 x^{4} - 6014250 x^{3} - 6091800 x^{2} - 2743565 x - 463586}{4860 x^{5} + 16200 x^{4} + 21600 x^{3} + 14400 x^{2} + 4800 x + 640} + 6875 \log{\left(x + \frac{3}{5} \right)} - 6875 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-2227500*x**4 - 6014250*x**3 - 6091800*x**2 - 2743565*x - 463586)/(4860*x**5 + 16200*x**4 + 21600*x**3 + 14400*x**2 + 4800*x + 640) + 6875*log(x + 3/5) - 6875*log(x + 2/3)","A",0
1206,1,73,0,0.193899," ","integrate((1-2*x)/(2+3*x)**7/(3+5*x),x)","- \frac{- 300712500 x^{5} - 1012398750 x^{4} - 1363675500 x^{3} - 918643275 x^{2} - 309504888 x - 41722762}{131220 x^{6} + 524880 x^{5} + 874800 x^{4} + 777600 x^{3} + 388800 x^{2} + 103680 x + 11520} + 34375 \log{\left(x + \frac{3}{5} \right)} - 34375 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-300712500*x**5 - 1012398750*x**4 - 1363675500*x**3 - 918643275*x**2 - 309504888*x - 41722762)/(131220*x**6 + 524880*x**5 + 874800*x**4 + 777600*x**3 + 388800*x**2 + 103680*x + 11520) + 34375*log(x + 3/5) - 34375*log(x + 2/3)","A",0
1207,1,61,0,0.121956," ","integrate((1-2*x)*(2+3*x)**7/(3+5*x)**2,x)","- \frac{4374 x^{7}}{175} - \frac{21627 x^{6}}{250} - \frac{336798 x^{5}}{3125} - \frac{513783 x^{4}}{12500} + \frac{92592 x^{3}}{3125} + \frac{5740767 x^{2}}{156250} + \frac{5555478 x}{390625} + \frac{229 \log{\left(5 x + 3 \right)}}{1953125} - \frac{11}{9765625 x + 5859375}"," ",0,"-4374*x**7/175 - 21627*x**6/250 - 336798*x**5/3125 - 513783*x**4/12500 + 92592*x**3/3125 + 5740767*x**2/156250 + 5555478*x/390625 + 229*log(5*x + 3)/1953125 - 11/(9765625*x + 5859375)","A",0
1208,1,54,0,0.116174," ","integrate((1-2*x)*(2+3*x)**6/(3+5*x)**2,x)","- \frac{243 x^{6}}{25} - \frac{16767 x^{5}}{625} - \frac{14094 x^{4}}{625} + \frac{5553 x^{3}}{3125} + \frac{40743 x^{2}}{3125} + \frac{555489 x}{78125} + \frac{196 \log{\left(5 x + 3 \right)}}{390625} - \frac{11}{1953125 x + 1171875}"," ",0,"-243*x**6/25 - 16767*x**5/625 - 14094*x**4/625 + 5553*x**3/3125 + 40743*x**2/3125 + 555489*x/78125 + 196*log(5*x + 3)/390625 - 11/(1953125*x + 1171875)","A",0
1209,1,48,0,0.116063," ","integrate((1-2*x)*(2+3*x)**5/(3+5*x)**2,x)","- \frac{486 x^{5}}{125} - \frac{3969 x^{4}}{500} - \frac{1854 x^{3}}{625} + \frac{24093 x^{2}}{6250} + \frac{444 x}{125} + \frac{163 \log{\left(5 x + 3 \right)}}{78125} - \frac{11}{390625 x + 234375}"," ",0,"-486*x**5/125 - 3969*x**4/500 - 1854*x**3/625 + 24093*x**2/6250 + 444*x/125 + 163*log(5*x + 3)/78125 - 11/(390625*x + 234375)","A",0
1210,1,41,0,0.111437," ","integrate((1-2*x)*(2+3*x)**4/(3+5*x)**2,x)","- \frac{81 x^{4}}{50} - \frac{261 x^{3}}{125} + \frac{378 x^{2}}{625} + \frac{5511 x}{3125} + \frac{26 \log{\left(5 x + 3 \right)}}{3125} - \frac{11}{78125 x + 46875}"," ",0,"-81*x**4/50 - 261*x**3/125 + 378*x**2/625 + 5511*x/3125 + 26*log(5*x + 3)/3125 - 11/(78125*x + 46875)","A",0
1211,1,34,0,0.109922," ","integrate((1-2*x)*(2+3*x)**3/(3+5*x)**2,x)","- \frac{18 x^{3}}{25} - \frac{81 x^{2}}{250} + \frac{522 x}{625} + \frac{97 \log{\left(5 x + 3 \right)}}{3125} - \frac{11}{15625 x + 9375}"," ",0,"-18*x**3/25 - 81*x**2/250 + 522*x/625 + 97*log(5*x + 3)/3125 - 11/(15625*x + 9375)","A",0
1212,1,27,0,0.104699," ","integrate((1-2*x)*(2+3*x)**2/(3+5*x)**2,x)","- \frac{9 x^{2}}{25} + \frac{33 x}{125} + \frac{64 \log{\left(5 x + 3 \right)}}{625} - \frac{11}{3125 x + 1875}"," ",0,"-9*x**2/25 + 33*x/125 + 64*log(5*x + 3)/625 - 11/(3125*x + 1875)","A",0
1213,1,20,0,0.099842," ","integrate((1-2*x)*(2+3*x)/(3+5*x)**2,x)","- \frac{6 x}{25} + \frac{31 \log{\left(5 x + 3 \right)}}{125} - \frac{11}{625 x + 375}"," ",0,"-6*x/25 + 31*log(5*x + 3)/125 - 11/(625*x + 375)","A",0
1214,1,17,0,0.091732," ","integrate((1-2*x)/(3+5*x)**2,x)","- \frac{2 \log{\left(5 x + 3 \right)}}{25} - \frac{11}{125 x + 75}"," ",0,"-2*log(5*x + 3)/25 - 11/(125*x + 75)","A",0
1215,1,22,0,0.117500," ","integrate((1-2*x)/(2+3*x)/(3+5*x)**2,x)","- 7 \log{\left(x + \frac{3}{5} \right)} + 7 \log{\left(x + \frac{2}{3} \right)} - \frac{11}{25 x + 15}"," ",0,"-7*log(x + 3/5) + 7*log(x + 2/3) - 11/(25*x + 15)","A",0
1216,1,31,0,0.133655," ","integrate((1-2*x)/(2+3*x)**2/(3+5*x)**2,x)","- \frac{68 x + 43}{15 x^{2} + 19 x + 6} - 68 \log{\left(x + \frac{3}{5} \right)} + 68 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(68*x + 43)/(15*x**2 + 19*x + 6) - 68*log(x + 3/5) + 68*log(x + 2/3)","A",0
1217,1,41,0,0.153686," ","integrate((1-2*x)/(2+3*x)**3/(3+5*x)**2,x)","- \frac{3030 x^{2} + 3939 x + 1277}{90 x^{3} + 174 x^{2} + 112 x + 24} - 505 \log{\left(x + \frac{3}{5} \right)} + 505 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(3030*x**2 + 3939*x + 1277)/(90*x**3 + 174*x**2 + 112*x + 24) - 505*log(x + 3/5) + 505*log(x + 2/3)","A",0
1218,1,51,0,0.166273," ","integrate((1-2*x)/(2+3*x)**4/(3+5*x)**2,x)","- \frac{90450 x^{3} + 177885 x^{2} + 116513 x + 25413}{405 x^{4} + 1053 x^{3} + 1026 x^{2} + 444 x + 72} - 3350 \log{\left(x + \frac{3}{5} \right)} + 3350 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(90450*x**3 + 177885*x**2 + 116513*x + 25413)/(405*x**4 + 1053*x**3 + 1026*x**2 + 444*x + 72) - 3350*log(x + 3/5) + 3350*log(x + 2/3)","A",0
1219,1,61,0,0.180628," ","integrate((1-2*x)/(2+3*x)**5/(3+5*x)**2,x)","- \frac{6763500 x^{4} + 17810550 x^{3} + 17580090 x^{2} + 7708553 x + 1266855}{4860 x^{5} + 15876 x^{4} + 20736 x^{3} + 13536 x^{2} + 4416 x + 576} - 20875 \log{\left(x + \frac{3}{5} \right)} + 20875 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(6763500*x**4 + 17810550*x**3 + 17580090*x**2 + 7708553*x + 1266855)/(4860*x**5 + 15876*x**4 + 20736*x**3 + 13536*x**2 + 4416*x + 576) - 20875*log(x + 3/5) + 20875*log(x + 2/3)","A",0
1220,1,71,0,0.196320," ","integrate((1-2*x)/(2+3*x)**6/(3+5*x)**2,x)","- \frac{151875000 x^{5} + 501187500 x^{4} + 661387500 x^{3} + 436271250 x^{2} + 143844850 x + 18964893}{18225 x^{6} + 71685 x^{5} + 117450 x^{4} + 102600 x^{3} + 50400 x^{2} + 13200 x + 1440} - 125000 \log{\left(x + \frac{3}{5} \right)} + 125000 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(151875000*x**5 + 501187500*x**4 + 661387500*x**3 + 436271250*x**2 + 143844850*x + 18964893)/(18225*x**6 + 71685*x**5 + 117450*x**4 + 102600*x**3 + 50400*x**2 + 13200*x + 1440) - 125000*log(x + 3/5) + 125000*log(x + 2/3)","A",0
1221,1,82,0,0.208908," ","integrate((1-2*x)/(2+3*x)**7/(3+5*x)**2,x)","- \frac{3538687500 x^{6} + 14036793750 x^{5} + 23195441250 x^{4} + 20438672625 x^{3} + 10128331755 x^{2} + 2676272018 x + 294588002}{72900 x^{7} + 335340 x^{6} + 660960 x^{5} + 723600 x^{4} + 475200 x^{3} + 187200 x^{2} + 40960 x + 3840} - 728125 \log{\left(x + \frac{3}{5} \right)} + 728125 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(3538687500*x**6 + 14036793750*x**5 + 23195441250*x**4 + 20438672625*x**3 + 10128331755*x**2 + 2676272018*x + 294588002)/(72900*x**7 + 335340*x**6 + 660960*x**5 + 723600*x**4 + 475200*x**3 + 187200*x**2 + 40960*x + 3840) - 728125*log(x + 3/5) + 728125*log(x + 2/3)","A",0
1222,1,63,0,0.138848," ","integrate((1-2*x)*(2+3*x)**7/(3+5*x)**3,x)","- \frac{729 x^{6}}{125} - \frac{51759 x^{5}}{3125} - \frac{181521 x^{4}}{12500} + \frac{2052 x^{3}}{3125} + \frac{129654 x^{2}}{15625} + \frac{1851147 x}{390625} - \frac{458 x + 277}{19531250 x^{2} + 23437500 x + 7031250} + \frac{2037 \log{\left(5 x + 3 \right)}}{1953125}"," ",0,"-729*x**6/125 - 51759*x**5/3125 - 181521*x**4/12500 + 2052*x**3/3125 + 129654*x**2/15625 + 1851147*x/390625 - (458*x + 277)/(19531250*x**2 + 23437500*x + 7031250) + 2037*log(5*x + 3)/1953125","A",0
1223,1,56,0,0.135442," ","integrate((1-2*x)*(2+3*x)**6/(3+5*x)**3,x)","- \frac{1458 x^{5}}{625} - \frac{12393 x^{4}}{2500} - \frac{6399 x^{3}}{3125} + \frac{297 x^{2}}{125} + \frac{36936 x}{15625} - \frac{1960 x + 1187}{19531250 x^{2} + 23437500 x + 7031250} + \frac{1449 \log{\left(5 x + 3 \right)}}{390625}"," ",0,"-1458*x**5/625 - 12393*x**4/2500 - 6399*x**3/3125 + 297*x**2/125 + 36936*x/15625 - (1960*x + 1187)/(19531250*x**2 + 23437500*x + 7031250) + 1449*log(5*x + 3)/390625","A",0
1224,1,49,0,0.133947," ","integrate((1-2*x)*(2+3*x)**5/(3+5*x)**3,x)","- \frac{243 x^{4}}{250} - \frac{837 x^{3}}{625} + \frac{1971 x^{2}}{6250} + \frac{3636 x}{3125} - \frac{1630 x + 989}{3906250 x^{2} + 4687500 x + 1406250} + \frac{192 \log{\left(5 x + 3 \right)}}{15625}"," ",0,"-243*x**4/250 - 837*x**3/625 + 1971*x**2/6250 + 3636*x/3125 - (1630*x + 989)/(3906250*x**2 + 4687500*x + 1406250) + 192*log(5*x + 3)/15625","A",0
1225,1,42,0,0.127595," ","integrate((1-2*x)*(2+3*x)**4/(3+5*x)**3,x)","- \frac{54 x^{3}}{125} - \frac{297 x^{2}}{1250} + \frac{1647 x}{3125} - \frac{1300 x + 791}{781250 x^{2} + 937500 x + 281250} + \frac{114 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"-54*x**3/125 - 297*x**2/1250 + 1647*x/3125 - (1300*x + 791)/(781250*x**2 + 937500*x + 281250) + 114*log(5*x + 3)/3125","A",0
1226,1,36,0,0.129040," ","integrate((1-2*x)*(2+3*x)**3/(3+5*x)**3,x)","- \frac{27 x^{2}}{125} + \frac{81 x}{625} - \frac{970 x + 593}{156250 x^{2} + 187500 x + 56250} + \frac{279 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"-27*x**2/125 + 81*x/625 - (970*x + 593)/(156250*x**2 + 187500*x + 56250) + 279*log(5*x + 3)/3125","A",0
1227,1,29,0,0.126075," ","integrate((1-2*x)*(2+3*x)**2/(3+5*x)**3,x)","- \frac{18 x}{125} - \frac{128 x + 79}{6250 x^{2} + 7500 x + 2250} + \frac{87 \log{\left(5 x + 3 \right)}}{625}"," ",0,"-18*x/125 - (128*x + 79)/(6250*x**2 + 7500*x + 2250) + 87*log(5*x + 3)/625","A",0
1228,1,26,0,0.116545," ","integrate((1-2*x)*(2+3*x)/(3+5*x)**3,x)","- \frac{310 x + 197}{6250 x^{2} + 7500 x + 2250} - \frac{6 \log{\left(5 x + 3 \right)}}{125}"," ",0,"-(310*x + 197)/(6250*x**2 + 7500*x + 2250) - 6*log(5*x + 3)/125","A",0
1229,1,17,0,0.104203," ","integrate((1-2*x)/(3+5*x)**3,x)","- \frac{- 20 x - 1}{1250 x^{2} + 1500 x + 450}"," ",0,"-(-20*x - 1)/(1250*x**2 + 1500*x + 450)","A",0
1230,1,32,0,0.139003," ","integrate((1-2*x)/(2+3*x)/(3+5*x)**3,x)","- \frac{- 350 x - 199}{250 x^{2} + 300 x + 90} + 21 \log{\left(x + \frac{3}{5} \right)} - 21 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-350*x - 199)/(250*x**2 + 300*x + 90) + 21*log(x + 3/5) - 21*log(x + 2/3)","A",0
1231,1,42,0,0.160112," ","integrate((1-2*x)/(2+3*x)**2/(3+5*x)**3,x)","- \frac{- 3090 x^{2} - 3811 x - 1172}{150 x^{3} + 280 x^{2} + 174 x + 36} + 309 \log{\left(x + \frac{3}{5} \right)} - 309 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-3090*x**2 - 3811*x - 1172)/(150*x**3 + 280*x**2 + 174*x + 36) + 309*log(x + 3/5) - 309*log(x + 2/3)","A",0
1232,1,53,0,0.175620," ","integrate((1-2*x)/(2+3*x)**3/(3+5*x)**3,x)","- \frac{- 91800 x^{3} - 174420 x^{2} - 110296 x - 23213}{450 x^{4} + 1140 x^{3} + 1082 x^{2} + 456 x + 72} + 3060 \log{\left(x + \frac{3}{5} \right)} - 3060 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-91800*x**3 - 174420*x**2 - 110296*x - 23213)/(450*x**4 + 1140*x**3 + 1082*x**2 + 456*x + 72) + 3060*log(x + 3/5) - 3060*log(x + 2/3)","A",0
1233,1,63,0,0.183356," ","integrate((1-2*x)/(2+3*x)**4/(3+5*x)**3,x)","- \frac{- 2281500 x^{4} - 5855850 x^{3} - 5631080 x^{2} - 2404363 x - 384608}{1350 x^{5} + 4320 x^{4} + 5526 x^{3} + 3532 x^{2} + 1128 x + 144} + 25350 \log{\left(x + \frac{3}{5} \right)} - 25350 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-2281500*x**4 - 5855850*x**3 - 5631080*x**2 - 2404363*x - 384608)/(1350*x**5 + 4320*x**4 + 5526*x**3 + 3532*x**2 + 1128*x + 144) + 25350*log(x + 3/5) - 25350*log(x + 2/3)","A",0
1234,1,73,0,0.197663," ","integrate((1-2*x)/(2+3*x)**5/(3+5*x)**3,x)","- \frac{- 102262500 x^{5} - 330648750 x^{4} - 427381500 x^{3} - 276035525 x^{2} - 89085434 x - 11492725}{8100 x^{6} + 31320 x^{5} + 50436 x^{4} + 43296 x^{3} + 20896 x^{2} + 5376 x + 576} + 189375 \log{\left(x + \frac{3}{5} \right)} - 189375 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-102262500*x**5 - 330648750*x**4 - 427381500*x**3 - 276035525*x**2 - 89085434*x - 11492725)/(8100*x**6 + 31320*x**5 + 50436*x**4 + 43296*x**3 + 20896*x**2 + 5376*x + 576) + 189375*log(x + 3/5) - 189375*log(x + 2/3)","A",0
1235,1,83,0,0.211597," ","integrate((1-2*x)/(2+3*x)**6/(3+5*x)**3,x)","- \frac{- 10707187500 x^{6} - 41758031250 x^{5} - 67828050000 x^{4} - 58733814375 x^{3} - 28595335800 x^{2} - 7421662135 x - 802214966}{121500 x^{7} + 550800 x^{6} + 1069740 x^{5} + 1153800 x^{4} + 746400 x^{3} + 289600 x^{2} + 62400 x + 5760} + 1321875 \log{\left(x + \frac{3}{5} \right)} - 1321875 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-10707187500*x**6 - 41758031250*x**5 - 67828050000*x**4 - 58733814375*x**3 - 28595335800*x**2 - 7421662135*x - 802214966)/(121500*x**7 + 550800*x**6 + 1069740*x**5 + 1153800*x**4 + 746400*x**3 + 289600*x**2 + 62400*x + 5760) + 1321875*log(x + 3/5) - 1321875*log(x + 2/3)","A",0
1236,1,65,0,0.078502," ","integrate((1-2*x)**2*(2+3*x)**8*(3+5*x),x)","10935 x^{12} + \frac{647352 x^{11}}{11} + \frac{1307097 x^{10}}{10} + 144315 x^{9} + 59616 x^{8} - 39312 x^{7} - 62160 x^{6} - \frac{134112 x^{5}}{5} + 3200 x^{4} + \frac{24832 x^{3}}{3} + 3712 x^{2} + 768 x"," ",0,"10935*x**12 + 647352*x**11/11 + 1307097*x**10/10 + 144315*x**9 + 59616*x**8 - 39312*x**7 - 62160*x**6 - 134112*x**5/5 + 3200*x**4 + 24832*x**3/3 + 3712*x**2 + 768*x","A",0
1237,1,61,0,0.077327," ","integrate((1-2*x)**2*(2+3*x)**7*(3+5*x),x)","\frac{43740 x^{11}}{11} + \frac{93312 x^{10}}{5} + 34587 x^{9} + \frac{225423 x^{8}}{8} + 1242 x^{7} - 16254 x^{6} - \frac{59304 x^{5}}{5} - 1292 x^{4} + \frac{7712 x^{3}}{3} + 1568 x^{2} + 384 x"," ",0,"43740*x**11/11 + 93312*x**10/5 + 34587*x**9 + 225423*x**8/8 + 1242*x**7 - 16254*x**6 - 59304*x**5/5 - 1292*x**4 + 7712*x**3/3 + 1568*x**2 + 384*x","A",0
1238,1,51,0,0.074569," ","integrate((1-2*x)**2*(2+3*x)**6*(3+5*x),x)","1458 x^{10} + 5832 x^{9} + \frac{68769 x^{8}}{8} + 4185 x^{7} - 2772 x^{6} - 4284 x^{5} - 1372 x^{4} + \frac{1936 x^{3}}{3} + 640 x^{2} + 192 x"," ",0,"1458*x**10 + 5832*x**9 + 68769*x**8/8 + 4185*x**7 - 2772*x**6 - 4284*x**5 - 1372*x**4 + 1936*x**3/3 + 640*x**2 + 192*x","A",0
1239,1,46,0,0.072881," ","integrate((1-2*x)**2*(2+3*x)**5*(3+5*x),x)","540 x^{9} + 1782 x^{8} + 1917 x^{7} + \frac{273 x^{6}}{2} - 1218 x^{5} - 770 x^{4} + \frac{224 x^{3}}{3} + 248 x^{2} + 96 x"," ",0,"540*x**9 + 1782*x**8 + 1917*x**7 + 273*x**6/2 - 1218*x**5 - 770*x**4 + 224*x**3/3 + 248*x**2 + 96*x","A",0
1240,1,46,0,0.070240," ","integrate((1-2*x)**2*(2+3*x)**4*(3+5*x),x)","\frac{405 x^{8}}{2} + \frac{3672 x^{7}}{7} + \frac{675 x^{6}}{2} - \frac{1077 x^{5}}{5} - 328 x^{4} - \frac{152 x^{3}}{3} + 88 x^{2} + 48 x"," ",0,"405*x**8/2 + 3672*x**7/7 + 675*x**6/2 - 1077*x**5/5 - 328*x**4 - 152*x**3/3 + 88*x**2 + 48*x","A",0
1241,1,39,0,0.066164," ","integrate((1-2*x)**2*(2+3*x)**3*(3+5*x),x)","\frac{540 x^{7}}{7} + 144 x^{6} + \frac{99 x^{5}}{5} - \frac{425 x^{4}}{4} - \frac{154 x^{3}}{3} + 26 x^{2} + 24 x"," ",0,"540*x**7/7 + 144*x**6 + 99*x**5/5 - 425*x**4/4 - 154*x**3/3 + 26*x**2 + 24*x","A",0
1242,1,32,0,0.064652," ","integrate((1-2*x)**2*(2+3*x)**2*(3+5*x),x)","30 x^{6} + \frac{168 x^{5}}{5} - \frac{79 x^{4}}{4} - \frac{89 x^{3}}{3} + 4 x^{2} + 12 x"," ",0,"30*x**6 + 168*x**5/5 - 79*x**4/4 - 89*x**3/3 + 4*x**2 + 12*x","A",0
1243,1,26,0,0.062469," ","integrate((1-2*x)**2*(2+3*x)*(3+5*x),x)","12 x^{5} + 4 x^{4} - \frac{37 x^{3}}{3} - \frac{5 x^{2}}{2} + 6 x"," ",0,"12*x**5 + 4*x**4 - 37*x**3/3 - 5*x**2/2 + 6*x","A",0
1244,1,20,0,0.063658," ","integrate((1-2*x)**2*(3+5*x),x)","5 x^{4} - \frac{8 x^{3}}{3} - \frac{7 x^{2}}{2} + 3 x"," ",0,"5*x**4 - 8*x**3/3 - 7*x**2/2 + 3*x","A",0
1245,1,27,0,0.095083," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x),x)","\frac{20 x^{3}}{9} - \frac{32 x^{2}}{9} + \frac{65 x}{27} - \frac{49 \log{\left(3 x + 2 \right)}}{81}"," ",0,"20*x**3/9 - 32*x**2/9 + 65*x/27 - 49*log(3*x + 2)/81","A",0
1246,1,27,0,0.105682," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x)**2,x)","\frac{10 x^{2}}{9} - \frac{104 x}{27} + \frac{91 \log{\left(3 x + 2 \right)}}{27} + \frac{49}{243 x + 162}"," ",0,"10*x**2/9 - 104*x/27 + 91*log(3*x + 2)/27 + 49/(243*x + 162)","A",0
1247,1,31,0,0.122714," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x)**3,x)","\frac{20 x}{27} + \frac{- 1638 x - 1043}{1458 x^{2} + 1944 x + 648} - \frac{16 \log{\left(3 x + 2 \right)}}{9}"," ",0,"20*x/27 + (-1638*x - 1043)/(1458*x**2 + 1944*x + 648) - 16*log(3*x + 2)/9","A",0
1248,1,34,0,0.133345," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x)**4,x)","\frac{7776 x^{2} + 7911 x + 1916}{13122 x^{3} + 26244 x^{2} + 17496 x + 3888} + \frac{20 \log{\left(3 x + 2 \right)}}{81}"," ",0,"(7776*x**2 + 7911*x + 1916)/(13122*x**3 + 26244*x**2 + 17496*x + 3888) + 20*log(3*x + 2)/81","A",0
1249,1,36,0,0.139819," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x)**5,x)","\frac{- 2160 x^{3} - 1728 x^{2} - 516 x - 167}{26244 x^{4} + 69984 x^{3} + 69984 x^{2} + 31104 x + 5184}"," ",0,"(-2160*x**3 - 1728*x**2 - 516*x - 167)/(26244*x**4 + 69984*x**3 + 69984*x**2 + 31104*x + 5184)","A",0
1250,1,39,0,0.150946," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x)**6,x)","\frac{- 1800 x^{3} - 720 x^{2} + 75 x - 98}{131220 x^{5} + 437400 x^{4} + 583200 x^{3} + 388800 x^{2} + 129600 x + 17280}"," ",0,"(-1800*x**3 - 720*x**2 + 75*x - 98)/(131220*x**5 + 437400*x**4 + 583200*x**3 + 388800*x**2 + 129600*x + 17280)","A",0
1251,1,44,0,0.160320," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x)**7,x)","\frac{- 5400 x^{3} - 1080 x^{2} + 846 x - 311}{1771470 x^{6} + 7085880 x^{5} + 11809800 x^{4} + 10497600 x^{3} + 5248800 x^{2} + 1399680 x + 155520}"," ",0,"(-5400*x**3 - 1080*x**2 + 846*x - 311)/(1771470*x**6 + 7085880*x**5 + 11809800*x**4 + 10497600*x**3 + 5248800*x**2 + 1399680*x + 155520)","A",0
1252,1,49,0,0.169777," ","integrate((1-2*x)**2*(3+5*x)/(2+3*x)**8,x)","\frac{- 1350 x^{3} - 108 x^{2} + 291 x - 88}{1771470 x^{7} + 8266860 x^{6} + 16533720 x^{5} + 18370800 x^{4} + 12247200 x^{3} + 4898880 x^{2} + 1088640 x + 103680}"," ",0,"(-1350*x**3 - 108*x**2 + 291*x - 88)/(1771470*x**7 + 8266860*x**6 + 16533720*x**5 + 18370800*x**4 + 12247200*x**3 + 4898880*x**2 + 1088640*x + 103680)","A",0
1253,1,71,0,0.083551," ","integrate((1-2*x)**2*(2+3*x)**8*(3+5*x)**2,x)","\frac{656100 x^{13}}{13} + 302535 x^{12} + \frac{8477541 x^{11}}{11} + \frac{5207733 x^{10}}{5} + 697905 x^{9} + 6858 x^{8} - 384336 x^{7} - 298240 x^{6} - \frac{338336 x^{5}}{5} + 40640 x^{4} + \frac{111616 x^{3}}{3} + 13056 x^{2} + 2304 x"," ",0,"656100*x**13/13 + 302535*x**12 + 8477541*x**11/11 + 5207733*x**10/5 + 697905*x**9 + 6858*x**8 - 384336*x**7 - 298240*x**6 - 338336*x**5/5 + 40640*x**4 + 111616*x**3/3 + 13056*x**2 + 2304*x","A",0
1254,1,66,0,0.083375," ","integrate((1-2*x)**2*(2+3*x)**7*(3+5*x)**2,x)","18225 x^{12} + \frac{1064340 x^{11}}{11} + \frac{2116287 x^{10}}{10} + 228996 x^{9} + \frac{719739 x^{8}}{8} - 65934 x^{7} - 98182 x^{6} - \frac{203752 x^{5}}{5} + 5764 x^{4} + \frac{38816 x^{3}}{3} + 5664 x^{2} + 1152 x"," ",0,"18225*x**12 + 1064340*x**11/11 + 2116287*x**10/10 + 228996*x**9 + 719739*x**8/8 - 65934*x**7 - 98182*x**6 - 203752*x**5/5 + 5764*x**4 + 38816*x**3/3 + 5664*x**2 + 1152*x","A",0
1255,1,58,0,0.077413," ","integrate((1-2*x)**2*(2+3*x)**6*(3+5*x)**2,x)","\frac{72900 x^{11}}{11} + 30618 x^{10} + 55701 x^{9} + \frac{176391 x^{8}}{4} + 675 x^{7} - 26166 x^{6} - 18340 x^{5} - 1696 x^{4} + \frac{12208 x^{3}}{3} + 2400 x^{2} + 576 x"," ",0,"72900*x**11/11 + 30618*x**10 + 55701*x**9 + 176391*x**8/4 + 675*x**7 - 26166*x**6 - 18340*x**5 - 1696*x**4 + 12208*x**3/3 + 2400*x**2 + 576*x","A",0
1256,1,53,0,0.075027," ","integrate((1-2*x)**2*(2+3*x)**5*(3+5*x)**2,x)","2430 x^{10} + 9540 x^{9} + \frac{109863 x^{8}}{8} + 6336 x^{7} - \frac{9331 x^{6}}{2} - 6734 x^{5} - 2030 x^{4} + \frac{3152 x^{3}}{3} + 984 x^{2} + 288 x"," ",0,"2430*x**10 + 9540*x**9 + 109863*x**8/8 + 6336*x**7 - 9331*x**6/2 - 6734*x**5 - 2030*x**4 + 3152*x**3/3 + 984*x**2 + 288*x","A",0
1257,1,49,0,0.074494," ","integrate((1-2*x)**2*(2+3*x)**4*(3+5*x)**2,x)","900 x^{9} + \frac{5805 x^{8}}{2} + \frac{21141 x^{7}}{7} + 115 x^{6} - \frac{9791 x^{5}}{5} - 1174 x^{4} + \frac{424 x^{3}}{3} + 384 x^{2} + 144 x"," ",0,"900*x**9 + 5805*x**8/2 + 21141*x**7/7 + 115*x**6 - 9791*x**5/5 - 1174*x**4 + 424*x**3/3 + 384*x**2 + 144*x","A",0
1258,1,48,0,0.072100," ","integrate((1-2*x)**2*(2+3*x)**3*(3+5*x)**2,x)","\frac{675 x^{8}}{2} + \frac{5940 x^{7}}{7} + \frac{1029 x^{6}}{2} - \frac{1828 x^{5}}{5} - \frac{2045 x^{4}}{4} - \frac{202 x^{3}}{3} + 138 x^{2} + 72 x"," ",0,"675*x**8/2 + 5940*x**7/7 + 1029*x**6/2 - 1828*x**5/5 - 2045*x**4/4 - 202*x**3/3 + 138*x**2 + 72*x","A",0
1259,1,39,0,0.068691," ","integrate((1-2*x)**2*(2+3*x)**2*(3+5*x)**2,x)","\frac{900 x^{7}}{7} + 230 x^{6} + \frac{109 x^{5}}{5} - \frac{341 x^{4}}{2} - \frac{227 x^{3}}{3} + 42 x^{2} + 36 x"," ",0,"900*x**7/7 + 230*x**6 + 109*x**5/5 - 341*x**4/2 - 227*x**3/3 + 42*x**2 + 36*x","A",0
1260,1,32,0,0.065665," ","integrate((1-2*x)**2*(2+3*x)*(3+5*x)**2,x)","50 x^{6} + 52 x^{5} - \frac{137 x^{4}}{4} - \frac{136 x^{3}}{3} + \frac{15 x^{2}}{2} + 18 x"," ",0,"50*x**6 + 52*x**5 - 137*x**4/4 - 136*x**3/3 + 15*x**2/2 + 18*x","A",0
1261,1,24,0,0.064408," ","integrate((1-2*x)**2*(3+5*x)**2,x)","20 x^{5} + 5 x^{4} - \frac{59 x^{3}}{3} - 3 x^{2} + 9 x"," ",0,"20*x**5 + 5*x**4 - 59*x**3/3 - 3*x**2 + 9*x","A",0
1262,1,34,0,0.099540," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x),x)","\frac{25 x^{4}}{3} - \frac{140 x^{3}}{27} - \frac{251 x^{2}}{54} + \frac{340 x}{81} + \frac{49 \log{\left(3 x + 2 \right)}}{243}"," ",0,"25*x**4/3 - 140*x**3/27 - 251*x**2/54 + 340*x/81 + 49*log(3*x + 2)/243","A",0
1263,1,34,0,0.113307," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x)**2,x)","\frac{100 x^{3}}{27} - \frac{170 x^{2}}{27} + \frac{143 x}{27} - \frac{518 \log{\left(3 x + 2 \right)}}{243} - \frac{49}{729 x + 486}"," ",0,"100*x**3/27 - 170*x**2/27 + 143*x/27 - 518*log(3*x + 2)/243 - 49/(729*x + 486)","A",0
1264,1,36,0,0.131167," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x)**3,x)","\frac{50 x^{2}}{27} - \frac{20 x}{3} + \frac{3108 x + 2023}{4374 x^{2} + 5832 x + 1944} + \frac{503 \log{\left(3 x + 2 \right)}}{81}"," ",0,"50*x**2/27 - 20*x/3 + (3108*x + 2023)/(4374*x**2 + 5832*x + 1944) + 503*log(3*x + 2)/81","A",0
1265,1,41,0,0.151726," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x)**4,x)","\frac{100 x}{81} + \frac{- 40743 x^{2} - 51993 x - 16603}{19683 x^{3} + 39366 x^{2} + 26244 x + 5832} - \frac{740 \log{\left(3 x + 2 \right)}}{243}"," ",0,"100*x/81 + (-40743*x**2 - 51993*x - 16603)/(19683*x**3 + 39366*x**2 + 26244*x + 5832) - 740*log(3*x + 2)/243","A",0
1266,1,44,0,0.155639," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x)**5,x)","\frac{239760 x^{3} + 398034 x^{2} + 217248 x + 38821}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} + \frac{100 \log{\left(3 x + 2 \right)}}{243}"," ",0,"(239760*x**3 + 398034*x**2 + 217248*x + 38821)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) + 100*log(3*x + 2)/243","A",0
1267,1,46,0,0.159981," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x)**6,x)","\frac{- 81000 x^{4} - 116100 x^{3} - 61470 x^{2} - 19275 x - 4028}{590490 x^{5} + 1968300 x^{4} + 2624400 x^{3} + 1749600 x^{2} + 583200 x + 77760}"," ",0,"(-81000*x**4 - 116100*x**3 - 61470*x**2 - 19275*x - 4028)/(590490*x**5 + 1968300*x**4 + 2624400*x**3 + 1749600*x**2 + 583200*x + 77760)","A",0
1268,1,51,0,0.173465," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x)**7,x)","\frac{- 243000 x^{4} - 248400 x^{3} - 52515 x^{2} - 8172 x - 8198}{10628820 x^{6} + 42515280 x^{5} + 70858800 x^{4} + 62985600 x^{3} + 31492800 x^{2} + 8398080 x + 933120}"," ",0,"(-243000*x**4 - 248400*x**3 - 52515*x**2 - 8172*x - 8198)/(10628820*x**6 + 42515280*x**5 + 70858800*x**4 + 62985600*x**3 + 31492800*x**2 + 8398080*x + 933120)","A",0
1269,1,54,0,0.188780," ","integrate((1-2*x)**2*(3+5*x)**2/(2+3*x)**8,x)","\frac{- 40500 x^{4} - 33075 x^{3} + 1107 x^{2} + 1461 x - 1423}{7971615 x^{7} + 37200870 x^{6} + 74401740 x^{5} + 82668600 x^{4} + 55112400 x^{3} + 22044960 x^{2} + 4898880 x + 466560}"," ",0,"(-40500*x**4 - 33075*x**3 + 1107*x**2 + 1461*x - 1423)/(7971615*x**7 + 37200870*x**6 + 74401740*x**5 + 82668600*x**4 + 55112400*x**3 + 22044960*x**2 + 4898880*x + 466560)","A",0
1270,1,90,0,0.094695," ","integrate((1-2*x)**2*(2+3*x)**10*(3+5*x)**3,x)","\frac{7381125 x^{16}}{4} + 14696640 x^{15} + \frac{734077485 x^{14}}{14} + \frac{1417418757 x^{13}}{13} + \frac{569034801 x^{12}}{4} + \frac{1233925083 x^{11}}{11} + 36043704 x^{10} - 26237700 x^{9} - 40113468 x^{8} - \frac{154612896 x^{7}}{7} - \frac{10627328 x^{6}}{3} + 3185792 x^{5} + 2644160 x^{4} + 1000704 x^{3} + 221184 x^{2} + 27648 x"," ",0,"7381125*x**16/4 + 14696640*x**15 + 734077485*x**14/14 + 1417418757*x**13/13 + 569034801*x**12/4 + 1233925083*x**11/11 + 36043704*x**10 - 26237700*x**9 - 40113468*x**8 - 154612896*x**7/7 - 10627328*x**6/3 + 3185792*x**5 + 2644160*x**4 + 1000704*x**3 + 221184*x**2 + 27648*x","A",0
1271,1,87,0,0.088571," ","integrate((1-2*x)**2*(2+3*x)**9*(3+5*x)**3,x)","656100 x^{15} + \frac{33461100 x^{14}}{7} + \frac{200077695 x^{13}}{13} + \frac{113029263 x^{12}}{4} + \frac{342976275 x^{11}}{11} + \frac{182657511 x^{10}}{10} - 180666 x^{9} - 9703638 x^{8} - \frac{55216512 x^{7}}{7} - \frac{7363312 x^{6}}{3} + \frac{2732864 x^{5}}{5} + 871936 x^{4} + 400128 x^{3} + 100224 x^{2} + 13824 x"," ",0,"656100*x**15 + 33461100*x**14/7 + 200077695*x**13/13 + 113029263*x**12/4 + 342976275*x**11/11 + 182657511*x**10/10 - 180666*x**9 - 9703638*x**8 - 55216512*x**7/7 - 7363312*x**6/3 + 2732864*x**5/5 + 871936*x**4 + 400128*x**3 + 100224*x**2 + 13824*x","A",0
1272,1,82,0,0.086821," ","integrate((1-2*x)**2*(2+3*x)**8*(3+5*x)**3,x)","\frac{1640250 x^{14}}{7} + \frac{20120400 x^{13}}{13} + \frac{17759655 x^{12}}{4} + \frac{77509953 x^{11}}{11} + \frac{62652123 x^{10}}{10} + 2124195 x^{9} - 1660896 x^{8} - \frac{17018256 x^{7}}{7} - \frac{3530000 x^{6}}{3} - \frac{202208 x^{5}}{5} + 261440 x^{4} + 155136 x^{3} + 44928 x^{2} + 6912 x"," ",0,"1640250*x**14/7 + 20120400*x**13/13 + 17759655*x**12/4 + 77509953*x**11/11 + 62652123*x**10/10 + 2124195*x**9 - 1660896*x**8 - 17018256*x**7/7 - 3530000*x**6/3 - 202208*x**5/5 + 261440*x**4 + 155136*x**3 + 44928*x**2 + 6912*x","A",0
1273,1,73,0,0.083970," ","integrate((1-2*x)**2*(2+3*x)**7*(3+5*x)**3,x)","\frac{1093500 x^{13}}{13} + 498150 x^{12} + \frac{13774455 x^{11}}{11} + \frac{16653681 x^{10}}{10} + 1086843 x^{9} - \frac{148473 x^{8}}{8} - 618582 x^{7} - \frac{1393018 x^{6}}{3} - \frac{495976 x^{5}}{5} + 65812 x^{4} + 57696 x^{3} + 19872 x^{2} + 3456 x"," ",0,"1093500*x**13/13 + 498150*x**12 + 13774455*x**11/11 + 16653681*x**10/10 + 1086843*x**9 - 148473*x**8/8 - 618582*x**7 - 1393018*x**6/3 - 495976*x**5/5 + 65812*x**4 + 57696*x**3 + 19872*x**2 + 3456*x","A",0
1274,1,65,0,0.083097," ","integrate((1-2*x)**2*(2+3*x)**6*(3+5*x)**3,x)","30375 x^{12} + \frac{1749600 x^{11}}{11} + \frac{685017 x^{10}}{2} + 363093 x^{9} + \frac{1081971 x^{8}}{8} - 110115 x^{7} - \frac{464744 x^{6}}{3} - 61804 x^{5} + 10172 x^{4} + 20208 x^{3} + 8640 x^{2} + 1728 x"," ",0,"30375*x**12 + 1749600*x**11/11 + 685017*x**10/2 + 363093*x**9 + 1081971*x**8/8 - 110115*x**7 - 464744*x**6/3 - 61804*x**5 + 10172*x**4 + 20208*x**3 + 8640*x**2 + 1728*x","A",0
1275,1,58,0,0.080968," ","integrate((1-2*x)**2*(2+3*x)**5*(3+5*x)**3,x)","\frac{121500 x^{11}}{11} + 50220 x^{10} + 89655 x^{9} + \frac{551349 x^{8}}{8} - 987 x^{7} - \frac{252329 x^{6}}{6} - 28322 x^{5} - 2150 x^{4} + 6432 x^{3} + 3672 x^{2} + 864 x"," ",0,"121500*x**11/11 + 50220*x**10 + 89655*x**9 + 551349*x**8/8 - 987*x**7 - 252329*x**6/6 - 28322*x**5 - 2150*x**4 + 6432*x**3 + 3672*x**2 + 864*x","A",0
1276,1,54,0,0.075730," ","integrate((1-2*x)**2*(2+3*x)**4*(3+5*x)**3,x)","4050 x^{10} + 15600 x^{9} + \frac{175365 x^{8}}{8} + \frac{66873 x^{7}}{7} - \frac{46885 x^{6}}{6} - \frac{52853 x^{5}}{5} - 2992 x^{4} + 1704 x^{3} + 1512 x^{2} + 432 x"," ",0,"4050*x**10 + 15600*x**9 + 175365*x**8/8 + 66873*x**7/7 - 46885*x**6/6 - 52853*x**5/5 - 2992*x**4 + 1704*x**3 + 1512*x**2 + 432*x","A",0
1277,1,49,0,0.073209," ","integrate((1-2*x)**2*(2+3*x)**3*(3+5*x)**3,x)","1500 x^{9} + 4725 x^{8} + \frac{33255 x^{7}}{7} + \frac{121 x^{6}}{6} - \frac{15709 x^{5}}{5} - \frac{7145 x^{4}}{4} + 258 x^{3} + 594 x^{2} + 216 x"," ",0,"1500*x**9 + 4725*x**8 + 33255*x**7/7 + 121*x**6/6 - 15709*x**5/5 - 7145*x**4/4 + 258*x**3 + 594*x**2 + 216*x","A",0
1278,1,46,0,0.070554," ","integrate((1-2*x)**2*(2+3*x)**2*(3+5*x)**3,x)","\frac{1125 x^{8}}{2} + \frac{9600 x^{7}}{7} + \frac{4685 x^{6}}{6} - \frac{3083 x^{5}}{5} - \frac{3181 x^{4}}{4} - 87 x^{3} + 216 x^{2} + 108 x"," ",0,"1125*x**8/2 + 9600*x**7/7 + 4685*x**6/6 - 3083*x**5/5 - 3181*x**4/4 - 87*x**3 + 216*x**2 + 108*x","A",0
1279,1,39,0,0.066774," ","integrate((1-2*x)**2*(2+3*x)*(3+5*x)**3,x)","\frac{1500 x^{7}}{7} + \frac{1100 x^{6}}{3} + 19 x^{5} - \frac{1091 x^{4}}{4} - 111 x^{3} + \frac{135 x^{2}}{2} + 54 x"," ",0,"1500*x**7/7 + 1100*x**6/3 + 19*x**5 - 1091*x**4/4 - 111*x**3 + 135*x**2/2 + 54*x","A",0
1280,1,32,0,0.065521," ","integrate((1-2*x)**2*(3+5*x)**3,x)","\frac{250 x^{6}}{3} + 80 x^{5} - \frac{235 x^{4}}{4} - 69 x^{3} + \frac{27 x^{2}}{2} + 27 x"," ",0,"250*x**6/3 + 80*x**5 - 235*x**4/4 - 69*x**3 + 27*x**2/2 + 27*x","A",0
1281,1,41,0,0.101324," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x),x)","\frac{100 x^{5}}{3} + \frac{50 x^{4}}{9} - \frac{2515 x^{3}}{81} - \frac{559 x^{2}}{162} + \frac{3305 x}{243} - \frac{49 \log{\left(3 x + 2 \right)}}{729}"," ",0,"100*x**5/3 + 50*x**4/9 - 2515*x**3/81 - 559*x**2/162 + 3305*x/243 - 49*log(3*x + 2)/729","A",0
1282,1,41,0,0.115174," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x)**2,x)","\frac{125 x^{4}}{9} - \frac{800 x^{3}}{81} - \frac{305 x^{2}}{54} + \frac{1271 x}{243} + \frac{763 \log{\left(3 x + 2 \right)}}{729} + \frac{49}{2187 x + 1458}"," ",0,"125*x**4/9 - 800*x**3/81 - 305*x**2/54 + 1271*x/243 + 763*log(3*x + 2)/729 + 49/(2187*x + 1458)","A",0
1283,1,44,0,0.134150," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x)**3,x)","\frac{500 x^{3}}{81} - \frac{100 x^{2}}{9} + \frac{895 x}{81} + \frac{- 1526 x - 1001}{4374 x^{2} + 5832 x + 1944} - \frac{4099 \log{\left(3 x + 2 \right)}}{729}"," ",0,"500*x**3/81 - 100*x**2/9 + 895*x/81 + (-1526*x - 1001)/(4374*x**2 + 5832*x + 1944) - 4099*log(3*x + 2)/729","A",0
1284,1,46,0,0.144761," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x)**4,x)","\frac{250 x^{2}}{81} - \frac{2800 x}{243} + \frac{221346 x^{2} + 288261 x + 93896}{118098 x^{3} + 236196 x^{2} + 157464 x + 34992} + \frac{8285 \log{\left(3 x + 2 \right)}}{729}"," ",0,"250*x**2/81 - 2800*x/243 + (221346*x**2 + 288261*x + 93896)/(118098*x**3 + 236196*x**2 + 157464*x + 34992) + 8285*log(3*x + 2)/729","A",0
1285,1,51,0,0.158219," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x)**5,x)","\frac{500 x}{243} + \frac{- 2684340 x^{3} - 5147334 x^{2} - 3293148 x - 702941}{708588 x^{4} + 1889568 x^{3} + 1889568 x^{2} + 839808 x + 139968} - \frac{3800 \log{\left(3 x + 2 \right)}}{729}"," ",0,"500*x/243 + (-2684340*x**3 - 5147334*x**2 - 3293148*x - 702941)/(708588*x**4 + 1889568*x**3 + 1889568*x**2 + 839808*x + 139968) - 3800*log(3*x + 2)/729","A",0
1286,1,54,0,0.167654," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x)**6,x)","\frac{18468000 x^{4} + 42537150 x^{3} + 36564120 x^{2} + 13889625 x + 1965218}{10628820 x^{5} + 35429400 x^{4} + 47239200 x^{3} + 31492800 x^{2} + 10497600 x + 1399680} + \frac{500 \log{\left(3 x + 2 \right)}}{729}"," ",0,"(18468000*x**4 + 42537150*x**3 + 36564120*x**2 + 13889625*x + 1965218)/(10628820*x**5 + 35429400*x**4 + 47239200*x**3 + 31492800*x**2 + 10497600*x + 1399680) + 500*log(3*x + 2)/729","A",0
1287,1,56,0,0.175815," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x)**7,x)","\frac{- 7290000 x^{5} - 15066000 x^{4} - 12249900 x^{3} - 5370435 x^{2} - 1510848 x - 233482}{31886460 x^{6} + 127545840 x^{5} + 212576400 x^{4} + 188956800 x^{3} + 94478400 x^{2} + 25194240 x + 2799360}"," ",0,"(-7290000*x**5 - 15066000*x**4 - 12249900*x**3 - 5370435*x**2 - 1510848*x - 233482)/(31886460*x**6 + 127545840*x**5 + 212576400*x**4 + 188956800*x**3 + 94478400*x**2 + 25194240*x + 2799360)","A",0
1288,1,61,0,0.186109," ","integrate((1-2*x)**2*(3+5*x)**3/(2+3*x)**8,x)","\frac{- 3645000 x^{5} - 5994000 x^{4} - 3139425 x^{3} - 652158 x^{2} - 210534 x - 76288}{95659380 x^{7} + 446410440 x^{6} + 892820880 x^{5} + 992023200 x^{4} + 661348800 x^{3} + 264539520 x^{2} + 58786560 x + 5598720}"," ",0,"(-3645000*x**5 - 5994000*x**4 - 3139425*x**3 - 652158*x**2 - 210534*x - 76288)/(95659380*x**7 + 446410440*x**6 + 892820880*x**5 + 992023200*x**4 + 661348800*x**3 + 264539520*x**2 + 58786560*x + 5598720)","A",0
1289,1,68,0,0.114060," ","integrate((1-2*x)**2*(2+3*x)**7/(3+5*x),x)","\frac{972 x^{9}}{5} + \frac{16767 x^{8}}{25} + \frac{672867 x^{7}}{875} + \frac{130383 x^{6}}{1250} - \frac{7315947 x^{5}}{15625} - \frac{20577159 x^{4}}{62500} + \frac{1327159 x^{3}}{78125} + \frac{80555569 x^{2}}{781250} + \frac{83333293 x}{1953125} + \frac{121 \log{\left(5 x + 3 \right)}}{9765625}"," ",0,"972*x**9/5 + 16767*x**8/25 + 672867*x**7/875 + 130383*x**6/1250 - 7315947*x**5/15625 - 20577159*x**4/62500 + 1327159*x**3/78125 + 80555569*x**2/781250 + 83333293*x/1953125 + 121*log(5*x + 3)/9765625","A",0
1290,1,61,0,0.111161," ","integrate((1-2*x)**2*(2+3*x)**6/(3+5*x),x)","\frac{729 x^{8}}{10} + \frac{34992 x^{7}}{175} + \frac{35883 x^{6}}{250} - \frac{228447 x^{5}}{3125} - \frac{1677159 x^{4}}{12500} - \frac{422841 x^{3}}{15625} + \frac{5555569 x^{2}}{156250} + \frac{8333293 x}{390625} + \frac{121 \log{\left(5 x + 3 \right)}}{1953125}"," ",0,"729*x**8/10 + 34992*x**7/175 + 35883*x**6/250 - 228447*x**5/3125 - 1677159*x**4/12500 - 422841*x**3/15625 + 5555569*x**2/156250 + 8333293*x/390625 + 121*log(5*x + 3)/1953125","A",0
1291,1,54,0,0.105955," ","integrate((1-2*x)**2*(2+3*x)**5/(3+5*x),x)","\frac{972 x^{7}}{35} + \frac{1404 x^{6}}{25} + \frac{7803 x^{5}}{625} - \frac{102159 x^{4}}{2500} - \frac{72841 x^{3}}{3125} + \frac{305569 x^{2}}{31250} + \frac{833293 x}{78125} + \frac{121 \log{\left(5 x + 3 \right)}}{390625}"," ",0,"972*x**7/35 + 1404*x**6/25 + 7803*x**5/625 - 102159*x**4/2500 - 72841*x**3/3125 + 305569*x**2/31250 + 833293*x/78125 + 121*log(5*x + 3)/390625","A",0
1292,1,48,0,0.103193," ","integrate((1-2*x)**2*(2+3*x)**4/(3+5*x),x)","\frac{54 x^{6}}{5} + \frac{1728 x^{5}}{125} - \frac{3159 x^{4}}{500} - \frac{7841 x^{3}}{625} + \frac{5569 x^{2}}{6250} + \frac{83293 x}{15625} + \frac{121 \log{\left(5 x + 3 \right)}}{78125}"," ",0,"54*x**6/5 + 1728*x**5/125 - 3159*x**4/500 - 7841*x**3/625 + 5569*x**2/6250 + 83293*x/15625 + 121*log(5*x + 3)/78125","A",0
1293,1,41,0,0.100033," ","integrate((1-2*x)**2*(2+3*x)**3/(3+5*x),x)","\frac{108 x^{5}}{25} + \frac{54 x^{4}}{25} - \frac{591 x^{3}}{125} - \frac{1931 x^{2}}{1250} + \frac{8293 x}{3125} + \frac{121 \log{\left(5 x + 3 \right)}}{15625}"," ",0,"108*x**5/25 + 54*x**4/25 - 591*x**3/125 - 1931*x**2/1250 + 8293*x/3125 + 121*log(5*x + 3)/15625","A",0
1294,1,34,0,0.096366," ","integrate((1-2*x)**2*(2+3*x)**2/(3+5*x),x)","\frac{9 x^{4}}{5} - \frac{16 x^{3}}{25} - \frac{431 x^{2}}{250} + \frac{793 x}{625} + \frac{121 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"9*x**4/5 - 16*x**3/25 - 431*x**2/250 + 793*x/625 + 121*log(5*x + 3)/3125","A",0
1295,1,27,0,0.090366," ","integrate((1-2*x)**2*(2+3*x)/(3+5*x),x)","\frac{4 x^{3}}{5} - \frac{28 x^{2}}{25} + \frac{43 x}{125} + \frac{121 \log{\left(5 x + 3 \right)}}{625}"," ",0,"4*x**3/5 - 28*x**2/25 + 43*x/125 + 121*log(5*x + 3)/625","A",0
1296,1,20,0,0.084896," ","integrate((1-2*x)**2/(3+5*x),x)","\frac{2 x^{2}}{5} - \frac{32 x}{25} + \frac{121 \log{\left(5 x + 3 \right)}}{125}"," ",0,"2*x**2/5 - 32*x/25 + 121*log(5*x + 3)/125","A",0
1297,1,24,0,0.123196," ","integrate((1-2*x)**2/(2+3*x)/(3+5*x),x)","\frac{4 x}{15} + \frac{121 \log{\left(x + \frac{3}{5} \right)}}{25} - \frac{49 \log{\left(x + \frac{2}{3} \right)}}{9}"," ",0,"4*x/15 + 121*log(x + 3/5)/25 - 49*log(x + 2/3)/9","A",0
1298,1,26,0,0.139712," ","integrate((1-2*x)**2/(2+3*x)**2/(3+5*x),x)","\frac{121 \log{\left(x + \frac{3}{5} \right)}}{5} - \frac{217 \log{\left(x + \frac{2}{3} \right)}}{9} + \frac{49}{27 x + 18}"," ",0,"121*log(x + 3/5)/5 - 217*log(x + 2/3)/9 + 49/(27*x + 18)","A",0
1299,1,31,0,0.142295," ","integrate((1-2*x)**2/(2+3*x)**3/(3+5*x),x)","\frac{1302 x + 917}{162 x^{2} + 216 x + 72} + 121 \log{\left(x + \frac{3}{5} \right)} - 121 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(1302*x + 917)/(162*x**2 + 216*x + 72) + 121*log(x + 3/5) - 121*log(x + 2/3)","A",0
1300,1,41,0,0.157112," ","integrate((1-2*x)**2/(2+3*x)**4/(3+5*x),x)","\frac{58806 x^{2} + 80361 x + 27536}{1458 x^{3} + 2916 x^{2} + 1944 x + 432} + 605 \log{\left(x + \frac{3}{5} \right)} - 605 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(58806*x**2 + 80361*x + 27536)/(1458*x**3 + 2916*x**2 + 1944*x + 432) + 605*log(x + 3/5) - 605*log(x + 2/3)","A",0
1301,1,51,0,0.172749," ","integrate((1-2*x)**2/(2+3*x)**5/(3+5*x),x)","\frac{1764180 x^{3} + 3587166 x^{2} + 2433252 x + 550739}{8748 x^{4} + 23328 x^{3} + 23328 x^{2} + 10368 x + 1728} + 3025 \log{\left(x + \frac{3}{5} \right)} - 3025 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(1764180*x**3 + 3587166*x**2 + 2433252*x + 550739)/(8748*x**4 + 23328*x**3 + 23328*x**2 + 10368*x + 1728) + 3025*log(x + 3/5) - 3025*log(x + 2/3)","A",0
1302,1,61,0,0.184055," ","integrate((1-2*x)**2/(2+3*x)**6/(3+5*x),x)","\frac{44104500 x^{4} + 119082150 x^{3} + 120617640 x^{2} + 54322575 x + 9179006}{43740 x^{5} + 145800 x^{4} + 194400 x^{3} + 129600 x^{2} + 43200 x + 5760} + 15125 \log{\left(x + \frac{3}{5} \right)} - 15125 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(44104500*x**4 + 119082150*x**3 + 120617640*x**2 + 54322575*x + 9179006)/(43740*x**5 + 145800*x**4 + 194400*x**3 + 129600*x**2 + 43200*x + 5760) + 15125*log(x + 3/5) - 15125*log(x + 2/3)","A",0
1303,1,71,0,0.197740," ","integrate((1-2*x)**2/(2+3*x)**7/(3+5*x),x)","\frac{1984702500 x^{5} + 6681831750 x^{4} + 9000258300 x^{3} + 6063045615 x^{2} + 2042732232 x + 275370238}{393660 x^{6} + 1574640 x^{5} + 2624400 x^{4} + 2332800 x^{3} + 1166400 x^{2} + 311040 x + 34560} + 75625 \log{\left(x + \frac{3}{5} \right)} - 75625 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(1984702500*x**5 + 6681831750*x**4 + 9000258300*x**3 + 6063045615*x**2 + 2042732232*x + 275370238)/(393660*x**6 + 1574640*x**5 + 2624400*x**4 + 2332800*x**3 + 1166400*x**2 + 311040*x + 34560) + 75625*log(x + 3/5) - 75625*log(x + 2/3)","A",0
1304,1,82,0,0.214149," ","integrate((1-2*x)**2/(2+3*x)**8/(3+5*x),x)","\frac{29770537500 x^{6} + 120074501250 x^{5} + 201822192000 x^{4} + 180948267225 x^{3} + 91271440062 x^{2} + 24557875626 x + 2753702432}{1180980 x^{7} + 5511240 x^{6} + 11022480 x^{5} + 12247200 x^{4} + 8164800 x^{3} + 3265920 x^{2} + 725760 x + 69120} + 378125 \log{\left(x + \frac{3}{5} \right)} - 378125 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(29770537500*x**6 + 120074501250*x**5 + 201822192000*x**4 + 180948267225*x**3 + 91271440062*x**2 + 24557875626*x + 2753702432)/(1180980*x**7 + 5511240*x**6 + 11022480*x**5 + 12247200*x**4 + 8164800*x**3 + 3265920*x**2 + 725760*x + 69120) + 378125*log(x + 3/5) - 378125*log(x + 2/3)","A",0
1305,1,68,0,0.128888," ","integrate((1-2*x)**2*(2+3*x)**7/(3+5*x)**2,x)","\frac{2187 x^{8}}{50} + \frac{107892 x^{7}}{875} + \frac{116397 x^{6}}{1250} - \frac{656424 x^{5}}{15625} - \frac{213867 x^{4}}{2500} - \frac{1512378 x^{3}}{78125} + \frac{17592879 x^{2}}{781250} + \frac{27776932 x}{1953125} + \frac{2497 \log{\left(5 x + 3 \right)}}{9765625} - \frac{121}{48828125 x + 29296875}"," ",0,"2187*x**8/50 + 107892*x**7/875 + 116397*x**6/1250 - 656424*x**5/15625 - 213867*x**4/2500 - 1512378*x**3/78125 + 17592879*x**2/781250 + 27776932*x/1953125 + 2497*log(5*x + 3)/9765625 - 121/(48828125*x + 29296875)","A",0
1306,1,61,0,0.124622," ","integrate((1-2*x)**2*(2+3*x)**6/(3+5*x)**2,x)","\frac{2916 x^{7}}{175} + \frac{4374 x^{6}}{125} + \frac{28917 x^{5}}{3125} - \frac{157599 x^{4}}{6250} - \frac{48771 x^{3}}{3125} + \frac{463086 x^{2}}{78125} + \frac{2777053 x}{390625} + \frac{2134 \log{\left(5 x + 3 \right)}}{1953125} - \frac{121}{9765625 x + 5859375}"," ",0,"2916*x**7/175 + 4374*x**6/125 + 28917*x**5/3125 - 157599*x**4/6250 - 48771*x**3/3125 + 463086*x**2/78125 + 2777053*x/390625 + 2134*log(5*x + 3)/1953125 - 121/(9765625*x + 5859375)","A",0
1307,1,54,0,0.122206," ","integrate((1-2*x)**2*(2+3*x)**5/(3+5*x)**2,x)","\frac{162 x^{6}}{25} + \frac{5508 x^{5}}{625} - \frac{8721 x^{4}}{2500} - \frac{25332 x^{3}}{3125} + \frac{1893 x^{2}}{6250} + \frac{277174 x}{78125} + \frac{1771 \log{\left(5 x + 3 \right)}}{390625} - \frac{121}{1953125 x + 1171875}"," ",0,"162*x**6/25 + 5508*x**5/625 - 8721*x**4/2500 - 25332*x**3/3125 + 1893*x**2/6250 + 277174*x/78125 + 1771*log(5*x + 3)/390625 - 121/(1953125*x + 1171875)","A",0
1308,1,48,0,0.129821," ","integrate((1-2*x)**2*(2+3*x)**4/(3+5*x)**2,x)","\frac{324 x^{5}}{125} + \frac{189 x^{4}}{125} - \frac{1809 x^{3}}{625} - \frac{3621 x^{2}}{3125} + \frac{5459 x}{3125} + \frac{1408 \log{\left(5 x + 3 \right)}}{78125} - \frac{121}{390625 x + 234375}"," ",0,"324*x**5/125 + 189*x**4/125 - 1809*x**3/625 - 3621*x**2/3125 + 5459*x/3125 + 1408*log(5*x + 3)/78125 - 121/(390625*x + 234375)","A",0
1309,1,41,0,0.117591," ","integrate((1-2*x)**2*(2+3*x)**3/(3+5*x)**2,x)","\frac{27 x^{4}}{25} - \frac{36 x^{3}}{125} - \frac{1449 x^{2}}{1250} + \frac{2416 x}{3125} + \frac{209 \log{\left(5 x + 3 \right)}}{3125} - \frac{121}{78125 x + 46875}"," ",0,"27*x**4/25 - 36*x**3/125 - 1449*x**2/1250 + 2416*x/3125 + 209*log(5*x + 3)/3125 - 121/(78125*x + 46875)","A",0
1310,1,34,0,0.109625," ","integrate((1-2*x)**2*(2+3*x)**2/(3+5*x)**2,x)","\frac{12 x^{3}}{25} - \frac{78 x^{2}}{125} + \frac{37 x}{625} + \frac{682 \log{\left(5 x + 3 \right)}}{3125} - \frac{121}{15625 x + 9375}"," ",0,"12*x**3/25 - 78*x**2/125 + 37*x/625 + 682*log(5*x + 3)/3125 - 121/(15625*x + 9375)","A",0
1311,1,27,0,0.109084," ","integrate((1-2*x)**2*(2+3*x)/(3+5*x)**2,x)","\frac{6 x^{2}}{25} - \frac{92 x}{125} + \frac{319 \log{\left(5 x + 3 \right)}}{625} - \frac{121}{3125 x + 1875}"," ",0,"6*x**2/25 - 92*x/125 + 319*log(5*x + 3)/625 - 121/(3125*x + 1875)","A",0
1312,1,20,0,0.096899," ","integrate((1-2*x)**2/(3+5*x)**2,x)","\frac{4 x}{25} - \frac{44 \log{\left(5 x + 3 \right)}}{125} - \frac{121}{625 x + 375}"," ",0,"4*x/25 - 44*log(5*x + 3)/125 - 121/(625*x + 375)","A",0
1313,1,26,0,0.144773," ","integrate((1-2*x)**2/(2+3*x)/(3+5*x)**2,x)","- \frac{407 \log{\left(x + \frac{3}{5} \right)}}{25} + \frac{49 \log{\left(x + \frac{2}{3} \right)}}{3} - \frac{121}{125 x + 75}"," ",0,"-407*log(x + 3/5)/25 + 49*log(x + 2/3)/3 - 121/(125*x + 75)","A",0
1314,1,32,0,0.144017," ","integrate((1-2*x)**2/(2+3*x)**2/(3+5*x)**2,x)","\frac{- 2314 x - 1461}{225 x^{2} + 285 x + 90} - 154 \log{\left(x + \frac{3}{5} \right)} + 154 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(-2314*x - 1461)/(225*x**2 + 285*x + 90) - 154*log(x + 3/5) + 154*log(x + 2/3)","A",0
1315,1,42,0,0.170374," ","integrate((1-2*x)**2/(2+3*x)**3/(3+5*x)**2,x)","\frac{- 20394 x^{2} - 26513 x - 8595}{270 x^{3} + 522 x^{2} + 336 x + 72} - 1133 \log{\left(x + \frac{3}{5} \right)} + 1133 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(-20394*x**2 - 26513*x - 8595)/(270*x**3 + 522*x**2 + 336*x + 72) - 1133*log(x + 3/5) + 1133*log(x + 2/3)","A",0
1316,1,53,0,0.181253," ","integrate((1-2*x)**2/(2+3*x)**4/(3+5*x)**2,x)","\frac{- 605880 x^{3} - 1191564 x^{2} - 780464 x - 170229}{1215 x^{4} + 3159 x^{3} + 3078 x^{2} + 1332 x + 216} - 7480 \log{\left(x + \frac{3}{5} \right)} + 7480 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(-605880*x**3 - 1191564*x**2 - 780464*x - 170229)/(1215*x**4 + 3159*x**3 + 3078*x**2 + 1332*x + 216) - 7480*log(x + 3/5) + 7480*log(x + 2/3)","A",0
1317,1,63,0,0.191720," ","integrate((1-2*x)**2/(2+3*x)**5/(3+5*x)**2,x)","\frac{- 5019300 x^{4} - 13217490 x^{3} - 13046462 x^{2} - 5720639 x - 940153}{1620 x^{5} + 5292 x^{4} + 6912 x^{3} + 4512 x^{2} + 1472 x + 192} - 46475 \log{\left(x + \frac{3}{5} \right)} + 46475 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(-5019300*x**4 - 13217490*x**3 - 13046462*x**2 - 5720639*x - 940153)/(1620*x**5 + 5292*x**4 + 6912*x**3 + 4512*x**2 + 1472*x + 192) - 46475*log(x + 3/5) + 46475*log(x + 2/3)","A",0
1318,1,73,0,0.206997," ","integrate((1-2*x)**2/(2+3*x)**6/(3+5*x)**2,x)","\frac{- 674932500 x^{5} - 2227277250 x^{4} - 2939206050 x^{3} - 1938789435 x^{2} - 639246515 x - 84279984}{36450 x^{6} + 143370 x^{5} + 234900 x^{4} + 205200 x^{3} + 100800 x^{2} + 26400 x + 2880} - 277750 \log{\left(x + \frac{3}{5} \right)} + 277750 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(-674932500*x**5 - 2227277250*x**4 - 2939206050*x**3 - 1938789435*x**2 - 639246515*x - 84279984)/(36450*x**6 + 143370*x**5 + 234900*x**4 + 205200*x**3 + 100800*x**2 + 26400*x + 2880) - 277750*log(x + 3/5) + 277750*log(x + 2/3)","A",0
1319,1,83,0,0.220761," ","integrate((1-2*x)**2/(2+3*x)**7/(3+5*x)**2,x)","\frac{- 70667437500 x^{6} - 280314168750 x^{5} - 463211966250 x^{4} - 408159415125 x^{3} - 202262350455 x^{2} - 53445037346 x - 5882909754}{656100 x^{7} + 3018060 x^{6} + 5948640 x^{5} + 6512400 x^{4} + 4276800 x^{3} + 1684800 x^{2} + 368640 x + 34560} - 1615625 \log{\left(x + \frac{3}{5} \right)} + 1615625 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(-70667437500*x**6 - 280314168750*x**5 - 463211966250*x**4 - 408159415125*x**3 - 202262350455*x**2 - 53445037346*x - 5882909754)/(656100*x**7 + 3018060*x**6 + 5948640*x**5 + 6512400*x**4 + 4276800*x**3 + 1684800*x**2 + 368640*x + 34560) - 1615625*log(x + 3/5) + 1615625*log(x + 2/3)","A",0
1320,1,94,0,0.233693," ","integrate((1-2*x)**2/(2+3*x)**8/(3+5*x)**2,x)","\frac{- 100738687500 x^{7} - 466755918750 x^{6} - 926721303750 x^{5} - 1022059900125 x^{4} - 676227617505 x^{3} - 268408563588 x^{2} - 59178013234 x - 5590850403}{164025 x^{8} + 863865 x^{7} + 1990170 x^{6} + 2619540 x^{5} + 2154600 x^{4} + 1134000 x^{3} + 372960 x^{2} + 70080 x + 5760} - 9212500 \log{\left(x + \frac{3}{5} \right)} + 9212500 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(-100738687500*x**7 - 466755918750*x**6 - 926721303750*x**5 - 1022059900125*x**4 - 676227617505*x**3 - 268408563588*x**2 - 59178013234*x - 5590850403)/(164025*x**8 + 863865*x**7 + 1990170*x**6 + 2619540*x**5 + 2154600*x**4 + 1134000*x**3 + 372960*x**2 + 70080*x + 5760) - 9212500*log(x + 3/5) + 9212500*log(x + 2/3)","A",0
1321,1,78,0,0.149211," ","integrate((1-2*x)**2*(2+3*x)**8/(3+5*x)**3,x)","\frac{6561 x^{8}}{250} + \frac{332424 x^{7}}{4375} + \frac{376407 x^{6}}{6250} - \frac{74601 x^{5}}{3125} - \frac{1700919 x^{4}}{31250} - \frac{5350194 x^{3}}{390625} + \frac{55559043 x^{2}}{3906250} + \frac{92582457 x}{9765625} + \frac{- 28600 x - 17281}{2441406250 x^{2} + 2929687500 x + 878906250} + \frac{5888 \log{\left(5 x + 3 \right)}}{9765625}"," ",0,"6561*x**8/250 + 332424*x**7/4375 + 376407*x**6/6250 - 74601*x**5/3125 - 1700919*x**4/31250 - 5350194*x**3/390625 + 55559043*x**2/3906250 + 92582457*x/9765625 + (-28600*x - 17281)/(2441406250*x**2 + 2929687500*x + 878906250) + 5888*log(5*x + 3)/9765625","A",0
1322,1,71,0,0.147664," ","integrate((1-2*x)**2*(2+3*x)**7/(3+5*x)**3,x)","\frac{8748 x^{7}}{875} + \frac{13608 x^{6}}{625} + \frac{104247 x^{5}}{15625} - \frac{193833 x^{4}}{12500} - \frac{162612 x^{3}}{15625} + \frac{1390203 x^{2}}{390625} + \frac{9251661 x}{1953125} + \frac{- 24970 x - 15103}{488281250 x^{2} + 585937500 x + 175781250} + \frac{21949 \log{\left(5 x + 3 \right)}}{9765625}"," ",0,"8748*x**7/875 + 13608*x**6/625 + 104247*x**5/15625 - 193833*x**4/12500 - 162612*x**3/15625 + 1390203*x**2/390625 + 9251661*x/1953125 + (-24970*x - 15103)/(488281250*x**2 + 585937500*x + 175781250) + 21949*log(5*x + 3)/9765625","A",0
1323,1,65,0,0.144597," ","integrate((1-2*x)**2*(2+3*x)**6/(3+5*x)**3,x)","\frac{486 x^{6}}{125} + \frac{17496 x^{5}}{3125} - \frac{23571 x^{4}}{12500} - \frac{16299 x^{3}}{3125} + \frac{189 x^{2}}{15625} + \frac{920502 x}{390625} + \frac{- 4268 x - 2585}{19531250 x^{2} + 23437500 x + 7031250} + \frac{15547 \log{\left(5 x + 3 \right)}}{1953125}"," ",0,"486*x**6/125 + 17496*x**5/3125 - 23571*x**4/12500 - 16299*x**3/3125 + 189*x**2/15625 + 920502*x/390625 + (-4268*x - 2585)/(19531250*x**2 + 23437500*x + 7031250) + 15547*log(5*x + 3)/1953125","A",0
1324,1,58,0,0.139490," ","integrate((1-2*x)**2*(2+3*x)**5/(3+5*x)**3,x)","\frac{972 x^{5}}{625} + \frac{648 x^{4}}{625} - \frac{5499 x^{3}}{3125} - \frac{5301 x^{2}}{6250} + \frac{17796 x}{15625} + \frac{- 17710 x - 10747}{19531250 x^{2} + 23437500 x + 7031250} + \frac{10234 \log{\left(5 x + 3 \right)}}{390625}"," ",0,"972*x**5/625 + 648*x**4/625 - 5499*x**3/3125 - 5301*x**2/6250 + 17796*x/15625 + (-17710*x - 10747)/(19531250*x**2 + 23437500*x + 7031250) + 10234*log(5*x + 3)/390625","A",0
1325,1,51,0,0.138766," ","integrate((1-2*x)**2*(2+3*x)**4/(3+5*x)**3,x)","\frac{81 x^{4}}{125} - \frac{72 x^{3}}{625} - \frac{4779 x^{2}}{6250} + \frac{1419 x}{3125} + \frac{- 14080 x - 8569}{3906250 x^{2} + 4687500 x + 1406250} + \frac{1202 \log{\left(5 x + 3 \right)}}{15625}"," ",0,"81*x**4/125 - 72*x**3/625 - 4779*x**2/6250 + 1419*x/3125 + (-14080*x - 8569)/(3906250*x**2 + 4687500*x + 1406250) + 1202*log(5*x + 3)/15625","A",0
1326,1,44,0,0.132388," ","integrate((1-2*x)**2*(2+3*x)**3/(3+5*x)**3,x)","\frac{36 x^{3}}{125} - \frac{216 x^{2}}{625} - \frac{153 x}{3125} + \frac{- 10450 x - 6391}{781250 x^{2} + 937500 x + 281250} + \frac{23 \log{\left(5 x + 3 \right)}}{125}"," ",0,"36*x**3/125 - 216*x**2/625 - 153*x/3125 + (-10450*x - 6391)/(781250*x**2 + 937500*x + 281250) + 23*log(5*x + 3)/125","A",0
1327,1,37,0,0.130600," ","integrate((1-2*x)**2*(2+3*x)**2/(3+5*x)**3,x)","\frac{18 x^{2}}{125} - \frac{264 x}{625} + \frac{- 6820 x - 4213}{156250 x^{2} + 187500 x + 56250} + \frac{829 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"18*x**2/125 - 264*x/625 + (-6820*x - 4213)/(156250*x**2 + 187500*x + 56250) + 829*log(5*x + 3)/3125","A",0
1328,1,31,0,0.124896," ","integrate((1-2*x)**2*(2+3*x)/(3+5*x)**3,x)","\frac{12 x}{125} + \frac{- 638 x - 407}{6250 x^{2} + 7500 x + 2250} - \frac{128 \log{\left(5 x + 3 \right)}}{625}"," ",0,"12*x/125 + (-638*x - 407)/(6250*x**2 + 7500*x + 2250) - 128*log(5*x + 3)/625","A",0
1329,1,24,0,0.116203," ","integrate((1-2*x)**2/(3+5*x)**3,x)","\frac{440 x + 143}{6250 x^{2} + 7500 x + 2250} + \frac{4 \log{\left(5 x + 3 \right)}}{125}"," ",0,"(440*x + 143)/(6250*x**2 + 7500*x + 2250) + 4*log(5*x + 3)/125","A",0
1330,1,31,0,0.143434," ","integrate((1-2*x)**2/(2+3*x)/(3+5*x)**3,x)","\frac{4070 x + 2321}{1250 x^{2} + 1500 x + 450} + 49 \log{\left(x + \frac{3}{5} \right)} - 49 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(4070*x + 2321)/(1250*x**2 + 1500*x + 450) + 49*log(x + 3/5) - 49*log(x + 2/3)","A",0
1331,1,41,0,0.162006," ","integrate((1-2*x)**2/(2+3*x)**2/(3+5*x)**3,x)","\frac{35350 x^{2} + 43597 x + 13408}{750 x^{3} + 1400 x^{2} + 870 x + 180} + 707 \log{\left(x + \frac{3}{5} \right)} - 707 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(35350*x**2 + 43597*x + 13408)/(750*x**3 + 1400*x**2 + 870*x + 180) + 707*log(x + 3/5) - 707*log(x + 2/3)","A",0
1332,1,51,0,0.172880," ","integrate((1-2*x)**2/(2+3*x)**3/(3+5*x)**3,x)","\frac{208020 x^{3} + 395238 x^{2} + 249932 x + 52601}{450 x^{4} + 1140 x^{3} + 1082 x^{2} + 456 x + 72} + 6934 \log{\left(x + \frac{3}{5} \right)} - 6934 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(208020*x**3 + 395238*x**2 + 249932*x + 52601)/(450*x**4 + 1140*x**3 + 1082*x**2 + 456*x + 72) + 6934*log(x + 3/5) - 6934*log(x + 2/3)","A",0
1333,1,61,0,0.190417," ","integrate((1-2*x)**2/(2+3*x)**4/(3+5*x)**3,x)","\frac{15419700 x^{4} + 39577230 x^{3} + 38058104 x^{2} + 16250079 x + 2599404}{4050 x^{5} + 12960 x^{4} + 16578 x^{3} + 10596 x^{2} + 3384 x + 432} + 57110 \log{\left(x + \frac{3}{5} \right)} - 57110 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(15419700*x**4 + 39577230*x**3 + 38058104*x**2 + 16250079*x + 2599404)/(4050*x**5 + 12960*x**4 + 16578*x**3 + 10596*x**2 + 3384*x + 432) + 57110*log(x + 3/5) - 57110*log(x + 2/3)","A",0
1334,1,71,0,0.201436," ","integrate((1-2*x)**2/(2+3*x)**5/(3+5*x)**3,x)","\frac{688459500 x^{5} + 2226019050 x^{4} + 2877250740 x^{3} + 1858347679 x^{2} + 599747838 x + 77372211}{24300 x^{6} + 93960 x^{5} + 151308 x^{4} + 129888 x^{3} + 62688 x^{2} + 16128 x + 1728} + 424975 \log{\left(x + \frac{3}{5} \right)} - 424975 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(688459500*x**5 + 2226019050*x**4 + 2877250740*x**3 + 1858347679*x**2 + 599747838*x + 77372211)/(24300*x**6 + 93960*x**5 + 151308*x**4 + 129888*x**3 + 62688*x**2 + 16128*x + 1728) + 424975*log(x + 3/5) - 424975*log(x + 2/3)","A",0
1335,1,82,0,0.218767," ","integrate((1-2*x)**2/(2+3*x)**6/(3+5*x)**3,x)","\frac{71882437500 x^{6} + 280341506250 x^{5} + 455361930000 x^{4} + 394308004875 x^{3} + 191974077080 x^{2} + 49825144515 x + 5385650262}{364500 x^{7} + 1652400 x^{6} + 3209220 x^{5} + 3461400 x^{4} + 2239200 x^{3} + 868800 x^{2} + 187200 x + 17280} + 2958125 \log{\left(x + \frac{3}{5} \right)} - 2958125 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(71882437500*x**6 + 280341506250*x**5 + 455361930000*x**4 + 394308004875*x**3 + 191974077080*x**2 + 49825144515*x + 5385650262)/(364500*x**7 + 1652400*x**6 + 3209220*x**5 + 3461400*x**4 + 2239200*x**3 + 868800*x**2 + 187200*x + 17280) + 2958125*log(x + 3/5) - 2958125*log(x + 2/3)","A",0
1336,1,92,0,0.241100," ","integrate((1-2*x)**2/(2+3*x)**7/(3+5*x)**3,x)","\frac{238595625000 x^{7} + 1089586687500 x^{6} + 2131807725000 x^{5} + 2316445391250 x^{4} + 1509746867100 x^{3} + 590188362770 x^{2} + 128130976648 x + 11917538647}{182250 x^{8} + 947700 x^{7} + 2155410 x^{6} + 2800440 x^{5} + 2273400 x^{4} + 1180800 x^{3} + 383200 x^{2} + 71040 x + 5760} + 19637500 \log{\left(x + \frac{3}{5} \right)} - 19637500 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(238595625000*x**7 + 1089586687500*x**6 + 2131807725000*x**5 + 2316445391250*x**4 + 1509746867100*x**3 + 590188362770*x**2 + 128130976648*x + 11917538647)/(182250*x**8 + 947700*x**7 + 2155410*x**6 + 2800440*x**5 + 2273400*x**4 + 1180800*x**3 + 383200*x**2 + 71040*x + 5760) + 19637500*log(x + 3/5) - 19637500*log(x + 2/3)","A",0
1337,1,102,0,0.252038," ","integrate((1-2*x)**2/(2+3*x)**8/(3+5*x)**3,x)","\frac{4586321250000 x^{8} + 24001747875000 x^{7} + 54940731300000 x^{6} + 71845684942500 x^{5} + 58705292494800 x^{4} + 30691745453460 x^{3} + 10026079791288 x^{2} + 1871049429619 x + 152720488888}{546750 x^{9} + 3207600 x^{8} + 8361630 x^{7} + 12712140 x^{6} + 12421080 x^{5} + 8089200 x^{4} + 3511200 x^{3} + 979520 x^{2} + 159360 x + 11520} + 125825000 \log{\left(x + \frac{3}{5} \right)} - 125825000 \log{\left(x + \frac{2}{3} \right)}"," ",0,"(4586321250000*x**8 + 24001747875000*x**7 + 54940731300000*x**6 + 71845684942500*x**5 + 58705292494800*x**4 + 30691745453460*x**3 + 10026079791288*x**2 + 1871049429619*x + 152720488888)/(546750*x**9 + 3207600*x**8 + 8361630*x**7 + 12712140*x**6 + 12421080*x**5 + 8089200*x**4 + 3511200*x**3 + 979520*x**2 + 159360*x + 11520) + 125825000*log(x + 3/5) - 125825000*log(x + 2/3)","A",0
1338,1,70,0,0.083158," ","integrate((1-2*x)**3*(2+3*x)**8*(3+5*x),x)","- \frac{262440 x^{13}}{13} - 96957 x^{12} - \frac{1966842 x^{11}}{11} - \frac{1290573 x^{10}}{10} + 38331 x^{9} + 128412 x^{8} + 67248 x^{7} - 17456 x^{6} - \frac{159712 x^{5}}{5} - 9216 x^{4} + 3328 x^{3} + 2944 x^{2} + 768 x"," ",0,"-262440*x**13/13 - 96957*x**12 - 1966842*x**11/11 - 1290573*x**10/10 + 38331*x**9 + 128412*x**8 + 67248*x**7 - 17456*x**6 - 159712*x**5/5 - 9216*x**4 + 3328*x**3 + 2944*x**2 + 768*x","A",0
1339,1,65,0,0.080446," ","integrate((1-2*x)**3*(2+3*x)**7*(3+5*x),x)","- 7290 x^{12} - \frac{329508 x^{11}}{11} - \frac{217971 x^{10}}{5} - 15507 x^{9} + \frac{208035 x^{8}}{8} + 29106 x^{7} + 3514 x^{6} - \frac{48968 x^{5}}{5} - 5148 x^{4} + 480 x^{3} + 1184 x^{2} + 384 x"," ",0,"-7290*x**12 - 329508*x**11/11 - 217971*x**10/5 - 15507*x**9 + 208035*x**8/8 + 29106*x**7 + 3514*x**6 - 48968*x**5/5 - 5148*x**4 + 480*x**3 + 1184*x**2 + 384*x","A",0
1340,1,60,0,0.076854," ","integrate((1-2*x)**3*(2+3*x)**6*(3+5*x),x)","- \frac{29160 x^{11}}{11} - \frac{45198 x^{10}}{5} - 9450 x^{9} + \frac{10179 x^{8}}{8} + 8937 x^{7} + 4368 x^{6} - \frac{10444 x^{5}}{5} - 2340 x^{4} - 208 x^{3} + 448 x^{2} + 192 x"," ",0,"-29160*x**11/11 - 45198*x**10/5 - 9450*x**9 + 10179*x**8/8 + 8937*x**7 + 4368*x**6 - 10444*x**5/5 - 2340*x**4 - 208*x**3 + 448*x**2 + 192*x","A",0
1341,1,51,0,0.074038," ","integrate((1-2*x)**3*(2+3*x)**5*(3+5*x),x)","- 972 x^{10} - 2628 x^{9} - \frac{6291 x^{8}}{4} + 1683 x^{7} + \frac{4333 x^{6}}{2} + 14 x^{5} - 882 x^{4} - 256 x^{3} + 152 x^{2} + 96 x"," ",0,"-972*x**10 - 2628*x**9 - 6291*x**8/4 + 1683*x**7 + 4333*x**6/2 + 14*x**5 - 882*x**4 - 256*x**3 + 152*x**2 + 96*x","A",0
1342,1,48,0,0.071879," ","integrate((1-2*x)**3*(2+3*x)**4*(3+5*x),x)","- 360 x^{9} - \frac{1431 x^{8}}{2} - 54 x^{7} + \frac{1393 x^{6}}{2} + \frac{1547 x^{5}}{5} - 252 x^{4} - 168 x^{3} + 40 x^{2} + 48 x"," ",0,"-360*x**9 - 1431*x**8/2 - 54*x**7 + 1393*x**6/2 + 1547*x**5/5 - 252*x**4 - 168*x**3 + 40*x**2 + 48*x","A",0
1343,1,42,0,0.069839," ","integrate((1-2*x)**3*(2+3*x)**3*(3+5*x),x)","- 135 x^{8} - \frac{1188 x^{7}}{7} + 111 x^{6} + \frac{949 x^{5}}{5} - \frac{117 x^{4}}{4} - 86 x^{3} + 2 x^{2} + 24 x"," ",0,"-135*x**8 - 1188*x**7/7 + 111*x**6 + 949*x**5/5 - 117*x**4/4 - 86*x**3 + 2*x**2 + 24*x","A",0
1344,1,37,0,0.067575," ","integrate((1-2*x)**3*(2+3*x)**2*(3+5*x),x)","- \frac{360 x^{7}}{7} - 26 x^{6} + \frac{326 x^{5}}{5} + \frac{99 x^{4}}{4} - 35 x^{3} - 8 x^{2} + 12 x"," ",0,"-360*x**7/7 - 26*x**6 + 326*x**5/5 + 99*x**4/4 - 35*x**3 - 8*x**2 + 12*x","A",0
1345,1,32,0,0.064693," ","integrate((1-2*x)**3*(2+3*x)*(3+5*x),x)","- 20 x^{6} + \frac{28 x^{5}}{5} + \frac{45 x^{4}}{2} - 9 x^{3} - \frac{17 x^{2}}{2} + 6 x"," ",0,"-20*x**6 + 28*x**5/5 + 45*x**4/2 - 9*x**3 - 17*x**2/2 + 6*x","A",0
1346,1,24,0,0.062605," ","integrate((1-2*x)**3*(3+5*x),x)","- 8 x^{5} + 9 x^{4} + 2 x^{3} - \frac{13 x^{2}}{2} + 3 x"," ",0,"-8*x**5 + 9*x**4 + 2*x**3 - 13*x**2/2 + 3*x","A",0
1347,1,34,0,0.093379," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x),x)","- \frac{10 x^{4}}{3} + \frac{188 x^{3}}{27} - \frac{161 x^{2}}{27} + \frac{293 x}{81} - \frac{343 \log{\left(3 x + 2 \right)}}{243}"," ",0,"-10*x**4/3 + 188*x**3/27 - 161*x**2/27 + 293*x/81 - 343*log(3*x + 2)/243","A",0
1348,1,34,0,0.106804," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x)**2,x)","- \frac{40 x^{3}}{27} + \frac{134 x^{2}}{27} - \frac{286 x}{27} + \frac{2009 \log{\left(3 x + 2 \right)}}{243} + \frac{343}{729 x + 486}"," ",0,"-40*x**3/27 + 134*x**2/27 - 286*x/27 + 2009*log(3*x + 2)/243 + 343/(729*x + 486)","A",0
1349,1,36,0,0.125821," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x)**3,x)","- \frac{20 x^{2}}{27} + \frac{116 x}{27} - \frac{12054 x + 7693}{4374 x^{2} + 5832 x + 1944} - \frac{518 \log{\left(3 x + 2 \right)}}{81}"," ",0,"-20*x**2/27 + 116*x/27 - (12054*x + 7693)/(4374*x**2 + 5832*x + 1944) - 518*log(3*x + 2)/81","A",0
1350,1,41,0,0.140419," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x)**4,x)","- \frac{40 x}{81} - \frac{- 83916 x^{2} - 93807 x - 25928}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{428 \log{\left(3 x + 2 \right)}}{243}"," ",0,"-40*x/81 - (-83916*x**2 - 93807*x - 25928)/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 428*log(3*x + 2)/243","A",0
1351,1,46,0,0.153723," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x)**5,x)","- \frac{138672 x^{3} + 193428 x^{2} + 97116 x + 18835}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{40 \log{\left(3 x + 2 \right)}}{243}"," ",0,"-(138672*x**3 + 193428*x**2 + 97116*x + 18835)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 40*log(3*x + 2)/243","A",0
1352,1,48,0,0.160352," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x)**6,x)","- \frac{- 64800 x^{4} - 57240 x^{3} - 34920 x^{2} - 16905 x - 1282}{1180980 x^{5} + 3936600 x^{4} + 5248800 x^{3} + 3499200 x^{2} + 1166400 x + 155520}"," ",0,"-(-64800*x**4 - 57240*x**3 - 34920*x**2 - 16905*x - 1282)/(1180980*x**5 + 3936600*x**4 + 5248800*x**3 + 3499200*x**2 + 1166400*x + 155520)","A",0
1353,1,51,0,0.169794," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x)**7,x)","- \frac{- 48600 x^{4} - 14040 x^{3} - 3375 x^{2} - 7218 x + 413}{5314410 x^{6} + 21257640 x^{5} + 35429400 x^{4} + 31492800 x^{3} + 15746400 x^{2} + 4199040 x + 466560}"," ",0,"-(-48600*x**4 - 14040*x**3 - 3375*x**2 - 7218*x + 413)/(5314410*x**6 + 21257640*x**5 + 35429400*x**4 + 31492800*x**3 + 15746400*x**2 + 4199040*x + 466560)","A",0
1354,1,56,0,0.179037," ","integrate((1-2*x)**3*(3+5*x)/(2+3*x)**8,x)","- \frac{- 32400 x^{4} + 270 x^{3} + 3024 x^{2} - 4593 x + 604}{15943230 x^{7} + 74401740 x^{6} + 148803480 x^{5} + 165337200 x^{4} + 110224800 x^{3} + 44089920 x^{2} + 9797760 x + 933120}"," ",0,"-(-32400*x**4 + 270*x**3 + 3024*x**2 - 4593*x + 604)/(15943230*x**7 + 74401740*x**6 + 148803480*x**5 + 165337200*x**4 + 110224800*x**3 + 44089920*x**2 + 9797760*x + 933120)","A",0
1355,1,83,0,0.085109," ","integrate((1-2*x)**3*(2+3*x)**8*(3+5*x)**2,x)","- \frac{656100 x^{14}}{7} - \frac{6604740 x^{13}}{13} - \frac{2220777 x^{12}}{2} - \frac{12353391 x^{11}}{11} - \frac{1073412 x^{10}}{5} + 685713 x^{9} + 679446 x^{8} + \frac{888528 x^{7}}{7} - \frac{556384 x^{6}}{3} - \frac{663456 x^{5}}{5} - 15168 x^{4} + \frac{59392 x^{3}}{3} + 10752 x^{2} + 2304 x"," ",0,"-656100*x**14/7 - 6604740*x**13/13 - 2220777*x**12/2 - 12353391*x**11/11 - 1073412*x**10/5 + 685713*x**9 + 679446*x**8 + 888528*x**7/7 - 556384*x**6/3 - 663456*x**5/5 - 15168*x**4 + 59392*x**3/3 + 10752*x**2 + 2304*x","A",0
1356,1,75,0,0.083751," ","integrate((1-2*x)**3*(2+3*x)**7*(3+5*x)**2,x)","- \frac{437400 x^{13}}{13} - 159165 x^{12} - \frac{3168234 x^{11}}{11} - \frac{2005641 x^{10}}{10} + 69054 x^{9} + \frac{1642815 x^{8}}{8} + 102378 x^{7} - \frac{90794 x^{6}}{3} - \frac{249864 x^{5}}{5} - 13644 x^{4} + \frac{16160 x^{3}}{3} + 4512 x^{2} + 1152 x"," ",0,"-437400*x**13/13 - 159165*x**12 - 3168234*x**11/11 - 2005641*x**10/10 + 69054*x**9 + 1642815*x**8/8 + 102378*x**7 - 90794*x**6/3 - 249864*x**5/5 - 13644*x**4 + 16160*x**3/3 + 4512*x**2 + 1152*x","A",0
1357,1,68,0,0.080144," ","integrate((1-2*x)**3*(2+3*x)**6*(3+5*x)**2,x)","- 12150 x^{12} - \frac{539460 x^{11}}{11} - \frac{348219 x^{10}}{5} - 22695 x^{9} + \frac{85833 x^{8}}{2} + 45531 x^{7} + \frac{13202 x^{6}}{3} - \frac{78132 x^{5}}{5} - 7800 x^{4} + \frac{2608 x^{3}}{3} + 1824 x^{2} + 576 x"," ",0,"-12150*x**12 - 539460*x**11/11 - 348219*x**10/5 - 22695*x**9 + 85833*x**8/2 + 45531*x**7 + 13202*x**6/3 - 78132*x**5/5 - 7800*x**4 + 2608*x**3/3 + 1824*x**2 + 576*x","A",0
1358,1,60,0,0.078206," ","integrate((1-2*x)**3*(2+3*x)**5*(3+5*x)**2,x)","- \frac{48600 x^{11}}{11} - 14742 x^{10} - 14874 x^{9} + \frac{21159 x^{8}}{8} + 14334 x^{7} + \frac{39347 x^{6}}{6} - 3486 x^{5} - 3606 x^{4} - \frac{784 x^{3}}{3} + 696 x^{2} + 288 x"," ",0,"-48600*x**11/11 - 14742*x**10 - 14874*x**9 + 21159*x**8/8 + 14334*x**7 + 39347*x**6/6 - 3486*x**5 - 3606*x**4 - 784*x**3/3 + 696*x**2 + 288*x","A",0
1359,1,54,0,0.074058," ","integrate((1-2*x)**3*(2+3*x)**4*(3+5*x)**2,x)","- 1620 x^{10} - 4260 x^{9} - \frac{9531 x^{8}}{4} + 2823 x^{7} + \frac{10136 x^{6}}{3} - \frac{399 x^{5}}{5} - 1386 x^{4} - \frac{1112 x^{3}}{3} + 240 x^{2} + 144 x"," ",0,"-1620*x**10 - 4260*x**9 - 9531*x**8/4 + 2823*x**7 + 10136*x**6/3 - 399*x**5/5 - 1386*x**4 - 1112*x**3/3 + 240*x**2 + 144*x","A",0
1360,1,53,0,0.072373," ","integrate((1-2*x)**3*(2+3*x)**3*(3+5*x)**2,x)","- 600 x^{9} - \frac{2295 x^{8}}{2} - \frac{234 x^{7}}{7} + \frac{6743 x^{6}}{6} + \frac{2262 x^{5}}{5} - \frac{1641 x^{4}}{4} - \frac{754 x^{3}}{3} + 66 x^{2} + 72 x"," ",0,"-600*x**9 - 2295*x**8/2 - 234*x**7/7 + 6743*x**6/6 + 2262*x**5/5 - 1641*x**4/4 - 754*x**3/3 + 66*x**2 + 72*x","A",0
1361,1,44,0,0.070936," ","integrate((1-2*x)**3*(2+3*x)**2*(3+5*x)**2,x)","- 225 x^{8} - \frac{1860 x^{7}}{7} + \frac{581 x^{6}}{3} + \frac{1473 x^{5}}{5} - 57 x^{4} - \frac{395 x^{3}}{3} + 6 x^{2} + 36 x"," ",0,"-225*x**8 - 1860*x**7/7 + 581*x**6/3 + 1473*x**5/5 - 57*x**4 - 395*x**3/3 + 6*x**2 + 36*x","A",0
1362,1,42,0,0.068202," ","integrate((1-2*x)**3*(2+3*x)*(3+5*x)**2,x)","- \frac{600 x^{7}}{7} - \frac{110 x^{6}}{3} + \frac{534 x^{5}}{5} + \frac{135 x^{4}}{4} - \frac{166 x^{3}}{3} - \frac{21 x^{2}}{2} + 18 x"," ",0,"-600*x**7/7 - 110*x**6/3 + 534*x**5/5 + 135*x**4/4 - 166*x**3/3 - 21*x**2/2 + 18*x","A",0
1363,1,32,0,0.068866," ","integrate((1-2*x)**3*(3+5*x)**2,x)","- \frac{100 x^{6}}{3} + 12 x^{5} + \frac{69 x^{4}}{2} - \frac{47 x^{3}}{3} - 12 x^{2} + 9 x"," ",0,"-100*x**6/3 + 12*x**5 + 69*x**4/2 - 47*x**3/3 - 12*x**2 + 9*x","A",0
1364,1,41,0,0.102633," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x),x)","- \frac{40 x^{5}}{3} + \frac{145 x^{4}}{9} + \frac{82 x^{3}}{81} - \frac{1433 x^{2}}{162} + \frac{922 x}{243} + \frac{343 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-40*x**5/3 + 145*x**4/9 + 82*x**3/81 - 1433*x**2/162 + 922*x/243 + 343*log(3*x + 2)/729","A",0
1365,1,41,0,0.116763," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x)**2,x)","- \frac{50 x^{4}}{9} + \frac{980 x^{3}}{81} - \frac{313 x^{2}}{27} + \frac{2323 x}{243} - \frac{3724 \log{\left(3 x + 2 \right)}}{729} - \frac{343}{2187 x + 1458}"," ",0,"-50*x**4/9 + 980*x**3/81 - 313*x**2/27 + 2323*x/243 - 3724*log(3*x + 2)/729 - 343/(2187*x + 1458)","A",0
1366,1,44,0,0.131944," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x)**3,x)","- \frac{200 x^{3}}{81} + \frac{230 x^{2}}{27} - \frac{1546 x}{81} - \frac{- 7448 x - 4851}{4374 x^{2} + 5832 x + 1944} + \frac{11599 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-200*x**3/81 + 230*x**2/27 - 1546*x/81 - (-7448*x - 4851)/(4374*x**2 + 5832*x + 1944) + 11599*log(3*x + 2)/729","A",0
1367,1,46,0,0.146765," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x)**4,x)","- \frac{100 x^{2}}{81} + \frac{1780 x}{243} - \frac{313173 x^{2} + 400806 x + 128359}{59049 x^{3} + 118098 x^{2} + 78732 x + 17496} - \frac{8198 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-100*x**2/81 + 1780*x/243 - (313173*x**2 + 400806*x + 128359)/(59049*x**3 + 118098*x**2 + 78732*x + 17496) - 8198*log(3*x + 2)/729","A",0
1368,1,51,0,0.156695," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x)**5,x)","- \frac{200 x}{243} - \frac{- 2656152 x^{3} - 4685958 x^{2} - 2751096 x - 537395}{708588 x^{4} + 1889568 x^{3} + 1889568 x^{2} + 839808 x + 139968} + \frac{2180 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-200*x/243 - (-2656152*x**3 - 4685958*x**2 - 2751096*x - 537395)/(708588*x**4 + 1889568*x**3 + 1889568*x**2 + 839808*x + 139968) + 2180*log(3*x + 2)/729","A",0
1369,1,56,0,0.169852," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x)**6,x)","- \frac{2648700 x^{4} + 5403105 x^{3} + 4264965 x^{2} + 1579785 x + 236399}{2657205 x^{5} + 8857350 x^{4} + 11809800 x^{3} + 7873200 x^{2} + 2624400 x + 349920} - \frac{200 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-(2648700*x**4 + 5403105*x**3 + 4264965*x**2 + 1579785*x + 236399)/(2657205*x**5 + 8857350*x**4 + 11809800*x**3 + 7873200*x**2 + 2624400*x + 349920) - 200*log(3*x + 2)/729","A",0
1370,1,58,0,0.176416," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x)**7,x)","- \frac{- 2916000 x^{5} - 4422600 x^{4} - 3260520 x^{3} - 1801575 x^{2} - 550404 x - 39286}{31886460 x^{6} + 127545840 x^{5} + 212576400 x^{4} + 188956800 x^{3} + 94478400 x^{2} + 25194240 x + 2799360}"," ",0,"-(-2916000*x**5 - 4422600*x**4 - 3260520*x**3 - 1801575*x**2 - 550404*x - 39286)/(31886460*x**6 + 127545840*x**5 + 212576400*x**4 + 188956800*x**3 + 94478400*x**2 + 25194240*x + 2799360)","A",0
1371,1,61,0,0.183650," ","integrate((1-2*x)**3*(3+5*x)**2/(2+3*x)**8,x)","- \frac{- 729000 x^{5} - 664200 x^{4} - 191295 x^{3} - 145044 x^{2} - 61392 x + 3526}{47829690 x^{7} + 223205220 x^{6} + 446410440 x^{5} + 496011600 x^{4} + 330674400 x^{3} + 132269760 x^{2} + 29393280 x + 2799360}"," ",0,"-(-729000*x**5 - 664200*x**4 - 191295*x**3 - 145044*x**2 - 61392*x + 3526)/(47829690*x**7 + 223205220*x**6 + 446410440*x**5 + 496011600*x**4 + 330674400*x**3 + 132269760*x**2 + 29393280*x + 2799360)","A",0
1372,1,82,0,0.084627," ","integrate((1-2*x)**3*(2+3*x)**7*(3+5*x)**3,x)","- \frac{1093500 x^{14}}{7} - \frac{10862100 x^{13}}{13} - \frac{3595185 x^{12}}{2} - \frac{19532907 x^{11}}{11} - \frac{2909493 x^{10}}{10} + 1119837 x^{9} + \frac{8511675 x^{8}}{8} + \frac{1241998 x^{7}}{7} - 299014 x^{6} - \frac{1022472 x^{5}}{5} - 20732 x^{4} + 31200 x^{3} + 16416 x^{2} + 3456 x"," ",0,"-1093500*x**14/7 - 10862100*x**13/13 - 3595185*x**12/2 - 19532907*x**11/11 - 2909493*x**10/10 + 1119837*x**9 + 8511675*x**8/8 + 1241998*x**7/7 - 299014*x**6 - 1022472*x**5/5 - 20732*x**4 + 31200*x**3 + 16416*x**2 + 3456*x","A",0
1373,1,71,0,0.084614," ","integrate((1-2*x)**3*(2+3*x)**6*(3+5*x)**3,x)","- \frac{729000 x^{13}}{13} - 261225 x^{12} - \frac{5100570 x^{11}}{11} - \frac{3110589 x^{10}}{10} + 122655 x^{9} + \frac{2623581 x^{8}}{8} + 155453 x^{7} - 51908 x^{6} - \frac{390396 x^{5}}{5} - 20140 x^{4} + 8688 x^{3} + 6912 x^{2} + 1728 x"," ",0,"-729000*x**13/13 - 261225*x**12 - 5100570*x**11/11 - 3110589*x**10/10 + 122655*x**9 + 2623581*x**8/8 + 155453*x**7 - 51908*x**6 - 390396*x**5/5 - 20140*x**4 + 8688*x**3 + 6912*x**2 + 1728*x","A",0
1374,1,63,0,0.081927," ","integrate((1-2*x)**3*(2+3*x)**5*(3+5*x)**3,x)","- 20250 x^{12} - \frac{882900 x^{11}}{11} - 111159 x^{10} - 32867 x^{9} + \frac{565167 x^{8}}{8} + 71107 x^{7} + \frac{10297 x^{6}}{2} - 24882 x^{5} - 11798 x^{4} + 1536 x^{3} + 2808 x^{2} + 864 x"," ",0,"-20250*x**12 - 882900*x**11/11 - 111159*x**10 - 32867*x**9 + 565167*x**8/8 + 71107*x**7 + 10297*x**6/2 - 24882*x**5 - 11798*x**4 + 1536*x**3 + 2808*x**2 + 864*x","A",0
1375,1,60,0,0.079755," ","integrate((1-2*x)**3*(2+3*x)**4*(3+5*x)**3,x)","- \frac{81000 x^{11}}{11} - 24030 x^{10} - 23370 x^{9} + \frac{41619 x^{8}}{8} + 22949 x^{7} + \frac{19607 x^{6}}{2} - \frac{28917 x^{5}}{5} - 5548 x^{4} - 312 x^{3} + 1080 x^{2} + 432 x"," ",0,"-81000*x**11/11 - 24030*x**10 - 23370*x**9 + 41619*x**8/8 + 22949*x**7 + 19607*x**6/2 - 28917*x**5/5 - 5548*x**4 - 312*x**3 + 1080*x**2 + 432*x","A",0
1376,1,56,0,0.076344," ","integrate((1-2*x)**3*(2+3*x)**3*(3+5*x)**3,x)","- 2700 x^{10} - 6900 x^{9} - \frac{14355 x^{8}}{4} + \frac{33013 x^{7}}{7} + \frac{10513 x^{6}}{2} - \frac{1419 x^{5}}{5} - \frac{8693 x^{4}}{4} - 534 x^{3} + 378 x^{2} + 216 x"," ",0,"-2700*x**10 - 6900*x**9 - 14355*x**8/4 + 33013*x**7/7 + 10513*x**6/2 - 1419*x**5/5 - 8693*x**4/4 - 534*x**3 + 378*x**2 + 216*x","A",0
1377,1,51,0,0.074572," ","integrate((1-2*x)**3*(2+3*x)**2*(3+5*x)**3,x)","- 1000 x^{9} - \frac{3675 x^{8}}{2} + \frac{230 x^{7}}{7} + \frac{3617 x^{6}}{2} + \frac{3279 x^{5}}{5} - \frac{2659 x^{4}}{4} - 375 x^{3} + 108 x^{2} + 108 x"," ",0,"-1000*x**9 - 3675*x**8/2 + 230*x**7/7 + 3617*x**6/2 + 3279*x**5/5 - 2659*x**4/4 - 375*x**3 + 108*x**2 + 108*x","A",0
1378,1,44,0,0.071180," ","integrate((1-2*x)**3*(2+3*x)*(3+5*x)**3,x)","- 375 x^{8} - \frac{2900 x^{7}}{7} + 335 x^{6} + \frac{2277 x^{5}}{5} - \frac{425 x^{4}}{4} - 201 x^{3} + \frac{27 x^{2}}{2} + 54 x"," ",0,"-375*x**8 - 2900*x**7/7 + 335*x**6 + 2277*x**5/5 - 425*x**4/4 - 201*x**3 + 27*x**2/2 + 54*x","A",0
1379,1,37,0,0.068451," ","integrate((1-2*x)**3*(3+5*x)**3,x)","- \frac{1000 x^{7}}{7} - 50 x^{6} + 174 x^{5} + \frac{179 x^{4}}{4} - 87 x^{3} - \frac{27 x^{2}}{2} + 27 x"," ",0,"-1000*x**7/7 - 50*x**6 + 174*x**5 + 179*x**4/4 - 87*x**3 - 27*x**2/2 + 27*x","A",0
1380,1,48,0,0.105917," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x),x)","- \frac{500 x^{6}}{9} + \frac{220 x^{5}}{9} + \frac{2815 x^{4}}{54} - \frac{6427 x^{3}}{243} - \frac{8287 x^{2}}{486} + \frac{10013 x}{729} - \frac{343 \log{\left(3 x + 2 \right)}}{2187}"," ",0,"-500*x**6/9 + 220*x**5/9 + 2815*x**4/54 - 6427*x**3/243 - 8287*x**2/486 + 10013*x/729 - 343*log(3*x + 2)/2187","A",0
1381,1,48,0,0.121432," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x)**2,x)","- \frac{200 x^{5}}{9} + \frac{775 x^{4}}{27} - \frac{190 x^{3}}{81} - \frac{5287 x^{2}}{486} + \frac{2287 x}{729} + \frac{1813 \log{\left(3 x + 2 \right)}}{729} + \frac{343}{6561 x + 4374}"," ",0,"-200*x**5/9 + 775*x**4/27 - 190*x**3/81 - 5287*x**2/486 + 2287*x/729 + 1813*log(3*x + 2)/729 + 343/(6561*x + 4374)","A",0
1382,1,49,0,0.137630," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x)**3,x)","- \frac{250 x^{4}}{27} + \frac{1700 x^{3}}{81} - \frac{1795 x^{2}}{81} + \frac{16253 x}{729} - \frac{32634 x + 21413}{39366 x^{2} + 52488 x + 17496} - \frac{10073 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-250*x**4/27 + 1700*x**3/81 - 1795*x**2/81 + 16253*x/729 - (32634*x + 21413)/(39366*x**2 + 52488*x + 17496) - 10073*log(3*x + 2)/729","A",0
1383,1,54,0,0.151206," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x)**4,x)","- \frac{1000 x^{3}}{243} + \frac{3550 x^{2}}{243} - \frac{24970 x}{729} - \frac{- 1631826 x^{2} - 2126817 x - 693308}{354294 x^{3} + 708588 x^{2} + 472392 x + 104976} + \frac{66193 \log{\left(3 x + 2 \right)}}{2187}"," ",0,"-1000*x**3/243 + 3550*x**2/243 - 24970*x/729 - (-1631826*x**2 - 2126817*x - 693308)/(354294*x**3 + 708588*x**2 + 472392*x + 104976) + 66193*log(3*x + 2)/2187","A",0
1384,1,56,0,0.160608," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x)**5,x)","- \frac{500 x^{2}}{243} + \frac{9100 x}{729} - \frac{2382948 x^{3} + 4584582 x^{2} + 2942764 x + 630195}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{14390 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-500*x**2/243 + 9100*x/729 - (2382948*x**3 + 4584582*x**2 + 2942764*x + 630195)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 14390*log(3*x + 2)/729","A",0
1385,1,61,0,0.174100," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x)**6,x)","- \frac{1000 x}{729} - \frac{- 23311800 x^{4} - 56207430 x^{3} - 50854440 x^{2} - 20464285 x - 3090594}{3542940 x^{5} + 11809800 x^{4} + 15746400 x^{3} + 10497600 x^{2} + 3499200 x + 466560} + \frac{3700 \log{\left(3 x + 2 \right)}}{729}"," ",0,"-1000*x/729 - (-23311800*x**4 - 56207430*x**3 - 50854440*x**2 - 20464285*x - 3090594)/(3542940*x**5 + 11809800*x**4 + 15746400*x**3 + 10497600*x**2 + 3499200*x + 466560) + 3700*log(3*x + 2)/729","A",0
1386,1,66,0,0.186126," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x)**7,x)","- \frac{53946000 x^{5} + 144852300 x^{4} + 158427540 x^{3} + 89062425 x^{2} + 25975248 x + 3165082}{31886460 x^{6} + 127545840 x^{5} + 212576400 x^{4} + 188956800 x^{3} + 94478400 x^{2} + 25194240 x + 2799360} - \frac{1000 \log{\left(3 x + 2 \right)}}{2187}"," ",0,"-(53946000*x**5 + 144852300*x**4 + 158427540*x**3 + 89062425*x**2 + 25975248*x + 3165082)/(31886460*x**6 + 127545840*x**5 + 212576400*x**4 + 188956800*x**3 + 94478400*x**2 + 25194240*x + 2799360) - 1000*log(3*x + 2)/2187","A",0
1387,1,68,0,0.192475," ","integrate((1-2*x)**3*(3+5*x)**3/(2+3*x)**8,x)","- \frac{- 14580000 x^{6} - 31347000 x^{5} - 30601800 x^{4} - 19748745 x^{3} - 8660574 x^{2} - 1990182 x - 133304}{95659380 x^{7} + 446410440 x^{6} + 892820880 x^{5} + 992023200 x^{4} + 661348800 x^{3} + 264539520 x^{2} + 58786560 x + 5598720}"," ",0,"-(-14580000*x**6 - 31347000*x**5 - 30601800*x**4 - 19748745*x**3 - 8660574*x**2 - 1990182*x - 133304)/(95659380*x**7 + 446410440*x**6 + 892820880*x**5 + 992023200*x**4 + 661348800*x**3 + 264539520*x**2 + 58786560*x + 5598720)","A",0
1388,1,68,0,0.116117," ","integrate((1-2*x)**3*(2+3*x)**6/(3+5*x),x)","- \frac{648 x^{9}}{5} - \frac{13851 x^{8}}{50} - \frac{40338 x^{7}}{875} + \frac{331713 x^{6}}{1250} + \frac{2212083 x^{5}}{15625} - \frac{5848749 x^{4}}{62500} - \frac{17453753 x^{3}}{234375} + \frac{11111259 x^{2}}{781250} + \frac{41666223 x}{1953125} + \frac{1331 \log{\left(5 x + 3 \right)}}{9765625}"," ",0,"-648*x**9/5 - 13851*x**8/50 - 40338*x**7/875 + 331713*x**6/1250 + 2212083*x**5/15625 - 5848749*x**4/62500 - 17453753*x**3/234375 + 11111259*x**2/781250 + 41666223*x/1953125 + 1331*log(5*x + 3)/9765625","A",0
1389,1,61,0,0.110134," ","integrate((1-2*x)**3*(2+3*x)**5/(3+5*x),x)","- \frac{243 x^{8}}{5} - \frac{11988 x^{7}}{175} + \frac{4419 x^{6}}{125} + \frac{243333 x^{5}}{3125} - \frac{73749 x^{4}}{12500} - \frac{1703753 x^{3}}{46875} - \frac{138741 x^{2}}{156250} + \frac{4166223 x}{390625} + \frac{1331 \log{\left(5 x + 3 \right)}}{1953125}"," ",0,"-243*x**8/5 - 11988*x**7/175 + 4419*x**6/125 + 243333*x**5/3125 - 73749*x**4/12500 - 1703753*x**3/46875 - 138741*x**2/156250 + 4166223*x/390625 + 1331*log(5*x + 3)/1953125","A",0
1390,1,54,0,0.105891," ","integrate((1-2*x)**3*(2+3*x)**4/(3+5*x),x)","- \frac{648 x^{7}}{35} - \frac{306 x^{6}}{25} + \frac{14958 x^{5}}{625} + \frac{31251 x^{4}}{2500} - \frac{128753 x^{3}}{9375} - \frac{138741 x^{2}}{31250} + \frac{416223 x}{78125} + \frac{1331 \log{\left(5 x + 3 \right)}}{390625}"," ",0,"-648*x**7/35 - 306*x**6/25 + 14958*x**5/625 + 31251*x**4/2500 - 128753*x**3/9375 - 138741*x**2/31250 + 416223*x/78125 + 1331*log(5*x + 3)/390625","A",0
1391,1,48,0,0.105444," ","integrate((1-2*x)**3*(2+3*x)**3/(3+5*x),x)","- \frac{36 x^{6}}{5} + \frac{108 x^{5}}{125} + \frac{2313 x^{4}}{250} - \frac{5003 x^{3}}{1875} - \frac{26241 x^{2}}{6250} + \frac{41223 x}{15625} + \frac{1331 \log{\left(5 x + 3 \right)}}{78125}"," ",0,"-36*x**6/5 + 108*x**5/125 + 2313*x**4/250 - 5003*x**3/1875 - 26241*x**2/6250 + 41223*x/15625 + 1331*log(5*x + 3)/78125","A",0
1392,1,41,0,0.104185," ","integrate((1-2*x)**3*(2+3*x)**2/(3+5*x),x)","- \frac{72 x^{5}}{25} + \frac{69 x^{4}}{25} + \frac{622 x^{3}}{375} - \frac{3741 x^{2}}{1250} + \frac{3723 x}{3125} + \frac{1331 \log{\left(5 x + 3 \right)}}{15625}"," ",0,"-72*x**5/25 + 69*x**4/25 + 622*x**3/375 - 3741*x**2/1250 + 3723*x/3125 + 1331*log(5*x + 3)/15625","A",0
1393,1,34,0,0.094985," ","integrate((1-2*x)**3*(2+3*x)/(3+5*x),x)","- \frac{6 x^{4}}{5} + \frac{172 x^{3}}{75} - \frac{183 x^{2}}{125} - \frac{27 x}{625} + \frac{1331 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"-6*x**4/5 + 172*x**3/75 - 183*x**2/125 - 27*x/625 + 1331*log(5*x + 3)/3125","A",0
1394,1,27,0,0.087071," ","integrate((1-2*x)**3/(3+5*x),x)","- \frac{8 x^{3}}{15} + \frac{42 x^{2}}{25} - \frac{402 x}{125} + \frac{1331 \log{\left(5 x + 3 \right)}}{625}"," ",0,"-8*x**3/15 + 42*x**2/25 - 402*x/125 + 1331*log(5*x + 3)/625","A",0
1395,1,31,0,0.125096," ","integrate((1-2*x)**3/(2+3*x)/(3+5*x),x)","- \frac{4 x^{2}}{15} + \frac{332 x}{225} + \frac{1331 \log{\left(x + \frac{3}{5} \right)}}{125} - \frac{343 \log{\left(x + \frac{2}{3} \right)}}{27}"," ",0,"-4*x**2/15 + 332*x/225 + 1331*log(x + 3/5)/125 - 343*log(x + 2/3)/27","A",0
1396,1,31,0,0.145373," ","integrate((1-2*x)**3/(2+3*x)**2/(3+5*x),x)","- \frac{8 x}{45} + \frac{1331 \log{\left(x + \frac{3}{5} \right)}}{25} - \frac{1421 \log{\left(x + \frac{2}{3} \right)}}{27} + \frac{343}{81 x + 54}"," ",0,"-8*x/45 + 1331*log(x + 3/5)/25 - 1421*log(x + 2/3)/27 + 343/(81*x + 54)","A",0
1397,1,36,0,0.162375," ","integrate((1-2*x)**3/(2+3*x)**3/(3+5*x),x)","- \frac{- 2842 x - 2009}{162 x^{2} + 216 x + 72} + \frac{1331 \log{\left(x + \frac{3}{5} \right)}}{5} - \frac{7189 \log{\left(x + \frac{2}{3} \right)}}{27}"," ",0,"-(-2842*x - 2009)/(162*x**2 + 216*x + 72) + 1331*log(x + 3/5)/5 - 7189*log(x + 2/3)/27","A",0
1398,1,42,0,0.162746," ","integrate((1-2*x)**3/(2+3*x)**4/(3+5*x),x)","- \frac{- 388206 x^{2} - 530397 x - 181748}{4374 x^{3} + 8748 x^{2} + 5832 x + 1296} + 1331 \log{\left(x + \frac{3}{5} \right)} - 1331 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-388206*x**2 - 530397*x - 181748)/(4374*x**3 + 8748*x**2 + 5832*x + 1296) + 1331*log(x + 3/5) - 1331*log(x + 2/3)","A",0
1399,1,53,0,0.176440," ","integrate((1-2*x)**3/(2+3*x)**5/(3+5*x),x)","- \frac{- 11643588 x^{3} - 23675382 x^{2} - 16059444 x - 3634885}{26244 x^{4} + 69984 x^{3} + 69984 x^{2} + 31104 x + 5184} + 6655 \log{\left(x + \frac{3}{5} \right)} - 6655 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-11643588*x**3 - 23675382*x**2 - 16059444*x - 3634885)/(26244*x**4 + 69984*x**3 + 69984*x**2 + 31104*x + 5184) + 6655*log(x + 3/5) - 6655*log(x + 2/3)","A",0
1400,1,63,0,0.193259," ","integrate((1-2*x)**3/(2+3*x)**6/(3+5*x),x)","- \frac{- 873269100 x^{4} - 2357826570 x^{3} - 2388229560 x^{2} - 1075586865 x - 181744346}{393660 x^{5} + 1312200 x^{4} + 1749600 x^{3} + 1166400 x^{2} + 388800 x + 51840} + 33275 \log{\left(x + \frac{3}{5} \right)} - 33275 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-873269100*x**4 - 2357826570*x**3 - 2388229560*x**2 - 1075586865*x - 181744346)/(393660*x**5 + 1312200*x**4 + 1749600*x**3 + 1166400*x**2 + 388800*x + 51840) + 33275*log(x + 3/5) - 33275*log(x + 2/3)","A",0
1401,1,73,0,0.209117," ","integrate((1-2*x)**3/(2+3*x)**7/(3+5*x),x)","- \frac{- 13099036500 x^{5} - 44100089550 x^{4} - 59401704780 x^{3} - 40016101275 x^{2} - 13482032616 x - 1817443594}{1180980 x^{6} + 4723920 x^{5} + 7873200 x^{4} + 6998400 x^{3} + 3499200 x^{2} + 933120 x + 103680} + 166375 \log{\left(x + \frac{3}{5} \right)} - 166375 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-13099036500*x**5 - 44100089550*x**4 - 59401704780*x**3 - 40016101275*x**2 - 13482032616*x - 1817443594)/(1180980*x**6 + 4723920*x**5 + 7873200*x**4 + 6998400*x**3 + 3499200*x**2 + 933120*x + 103680) + 166375*log(x + 3/5) - 166375*log(x + 2/3)","A",0
1402,1,83,0,0.226244," ","integrate((1-2*x)**3/(2+3*x)**8/(3+5*x),x)","- \frac{- 196485547500 x^{6} - 792491708250 x^{5} - 1332026467200 x^{4} - 1194258563685 x^{3} - 602391504582 x^{2} - 162081979026 x - 18174436072}{3542940 x^{7} + 16533720 x^{6} + 33067440 x^{5} + 36741600 x^{4} + 24494400 x^{3} + 9797760 x^{2} + 2177280 x + 207360} + 831875 \log{\left(x + \frac{3}{5} \right)} - 831875 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-196485547500*x**6 - 792491708250*x**5 - 1332026467200*x**4 - 1194258563685*x**3 - 602391504582*x**2 - 162081979026*x - 18174436072)/(3542940*x**7 + 16533720*x**6 + 33067440*x**5 + 36741600*x**4 + 24494400*x**3 + 9797760*x**2 + 2177280*x + 207360) + 831875*log(x + 3/5) - 831875*log(x + 2/3)","A",0
1403,1,68,0,0.131674," ","integrate((1-2*x)**3*(2+3*x)**6/(3+5*x)**2,x)","- \frac{729 x^{8}}{25} - \frac{37908 x^{7}}{875} + \frac{12231 x^{6}}{625} + \frac{774981 x^{5}}{15625} - \frac{5643 x^{4}}{3125} - \frac{1836723 x^{3}}{78125} - \frac{461623 x^{2}}{390625} + \frac{13880997 x}{1953125} + \frac{23232 \log{\left(5 x + 3 \right)}}{9765625} - \frac{1331}{48828125 x + 29296875}"," ",0,"-729*x**8/25 - 37908*x**7/875 + 12231*x**6/625 + 774981*x**5/15625 - 5643*x**4/3125 - 1836723*x**3/78125 - 461623*x**2/390625 + 13880997*x/1953125 + 23232*log(5*x + 3)/9765625 - 1331/(48828125*x + 29296875)","A",0
1404,1,61,0,0.124502," ","integrate((1-2*x)**3*(2+3*x)**5/(3+5*x)**2,x)","- \frac{1944 x^{7}}{175} - \frac{1026 x^{6}}{125} + \frac{44982 x^{5}}{3125} + \frac{108387 x^{4}}{12500} - \frac{26594 x^{3}}{3125} - \frac{507023 x^{2}}{156250} + \frac{1382328 x}{390625} + \frac{19239 \log{\left(5 x + 3 \right)}}{1953125} - \frac{1331}{9765625 x + 5859375}"," ",0,"-1944*x**7/175 - 1026*x**6/125 + 44982*x**5/3125 + 108387*x**4/12500 - 26594*x**3/3125 - 507023*x**2/156250 + 1382328*x/390625 + 19239*log(5*x + 3)/1953125 - 1331/(9765625*x + 5859375)","A",0
1405,1,54,0,0.124012," ","integrate((1-2*x)**3*(2+3*x)**4/(3+5*x)**2,x)","- \frac{108 x^{6}}{25} + \frac{108 x^{5}}{625} + \frac{7317 x^{4}}{1250} - \frac{4217 x^{3}}{3125} - \frac{1816 x^{2}}{625} + \frac{133659 x}{78125} + \frac{15246 \log{\left(5 x + 3 \right)}}{390625} - \frac{1331}{1953125 x + 1171875}"," ",0,"-108*x**6/25 + 108*x**5/625 + 7317*x**4/1250 - 4217*x**3/3125 - 1816*x**2/625 + 133659*x/78125 + 15246*log(5*x + 3)/390625 - 1331/(1953125*x + 1171875)","A",0
1406,1,48,0,0.117783," ","integrate((1-2*x)**3*(2+3*x)**3/(3+5*x)**2,x)","- \frac{216 x^{5}}{125} + \frac{189 x^{4}}{125} + \frac{786 x^{3}}{625} - \frac{12077 x^{2}}{6250} + \frac{1998 x}{3125} + \frac{11253 \log{\left(5 x + 3 \right)}}{78125} - \frac{1331}{390625 x + 234375}"," ",0,"-216*x**5/125 + 189*x**4/125 + 786*x**3/625 - 12077*x**2/6250 + 1998*x/3125 + 11253*log(5*x + 3)/78125 - 1331/(390625*x + 234375)","A",0
1407,1,41,0,0.116828," ","integrate((1-2*x)**3*(2+3*x)**2/(3+5*x)**2,x)","- \frac{18 x^{4}}{25} + \frac{164 x^{3}}{125} - \frac{427 x^{2}}{625} - \frac{1179 x}{3125} + \frac{1452 \log{\left(5 x + 3 \right)}}{3125} - \frac{1331}{78125 x + 46875}"," ",0,"-18*x**4/25 + 164*x**3/125 - 427*x**2/625 - 1179*x/3125 + 1452*log(5*x + 3)/3125 - 1331/(78125*x + 46875)","A",0
1408,1,34,0,0.110811," ","integrate((1-2*x)**3*(2+3*x)/(3+5*x)**2,x)","- \frac{8 x^{3}}{25} + \frac{122 x^{2}}{125} - \frac{1098 x}{625} + \frac{3267 \log{\left(5 x + 3 \right)}}{3125} - \frac{1331}{15625 x + 9375}"," ",0,"-8*x**3/25 + 122*x**2/125 - 1098*x/625 + 3267*log(5*x + 3)/3125 - 1331/(15625*x + 9375)","A",0
1409,1,27,0,0.101191," ","integrate((1-2*x)**3/(3+5*x)**2,x)","- \frac{4 x^{2}}{25} + \frac{108 x}{125} - \frac{726 \log{\left(5 x + 3 \right)}}{625} - \frac{1331}{3125 x + 1875}"," ",0,"-4*x**2/25 + 108*x/125 - 726*log(5*x + 3)/625 - 1331/(3125*x + 1875)","A",0
1410,1,31,0,0.147758," ","integrate((1-2*x)**3/(2+3*x)/(3+5*x)**2,x)","- \frac{8 x}{75} - \frac{4719 \log{\left(x + \frac{3}{5} \right)}}{125} + \frac{343 \log{\left(x + \frac{2}{3} \right)}}{9} - \frac{1331}{625 x + 375}"," ",0,"-8*x/75 - 4719*log(x + 3/5)/125 + 343*log(x + 2/3)/9 - 1331/(625*x + 375)","A",0
1411,1,34,0,0.163520," ","integrate((1-2*x)**3/(2+3*x)**2/(3+5*x)**2,x)","- \frac{78812 x + 49683}{3375 x^{2} + 4275 x + 1350} - \frac{8712 \log{\left(x + \frac{3}{5} \right)}}{25} + \frac{3136 \log{\left(x + \frac{2}{3} \right)}}{9}"," ",0,"-(78812*x + 49683)/(3375*x**2 + 4275*x + 1350) - 8712*log(x + 3/5)/25 + 3136*log(x + 2/3)/9","A",0
1412,1,41,0,0.169242," ","integrate((1-2*x)**3/(2+3*x)**3/(3+5*x)**2,x)","- \frac{686022 x^{2} + 891911 x + 289137}{4050 x^{3} + 7830 x^{2} + 5040 x + 1080} - 2541 \log{\left(x + \frac{3}{5} \right)} + 2541 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(686022*x**2 + 891911*x + 289137)/(4050*x**3 + 7830*x**2 + 5040*x + 1080) - 2541*log(x + 3/5) + 2541*log(x + 2/3)","A",0
1413,1,51,0,0.184361," ","integrate((1-2*x)**3/(2+3*x)**4/(3+5*x)**2,x)","- \frac{4057614 x^{3} + 7979967 x^{2} + 5226815 x + 1140033}{3645 x^{4} + 9477 x^{3} + 9234 x^{2} + 3996 x + 648} - 16698 \log{\left(x + \frac{3}{5} \right)} + 16698 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(4057614*x**3 + 7979967*x**2 + 5226815*x + 1140033)/(3645*x**4 + 9477*x**3 + 9234*x**2 + 3996*x + 648) - 16698*log(x + 3/5) + 16698*log(x + 2/3)","A",0
1414,1,61,0,0.198241," ","integrate((1-2*x)**3/(2+3*x)**5/(3+5*x)**2,x)","- \frac{301674780 x^{4} + 794410254 x^{3} + 784130946 x^{2} + 343827337 x + 56505975}{43740 x^{5} + 142884 x^{4} + 186624 x^{3} + 121824 x^{2} + 39744 x + 5184} - 103455 \log{\left(x + \frac{3}{5} \right)} + 103455 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(301674780*x**4 + 794410254*x**3 + 784130946*x**2 + 343827337*x + 56505975)/(43740*x**5 + 142884*x**4 + 186624*x**3 + 121824*x**2 + 39744*x + 5184) - 103455*log(x + 3/5) + 103455*log(x + 2/3)","A",0
1415,1,71,0,0.212981," ","integrate((1-2*x)**3/(2+3*x)**6/(3+5*x)**2,x)","- \frac{2249329500 x^{5} + 7422787350 x^{4} + 9795413430 x^{3} + 6461351715 x^{2} + 2130399775 x + 280877649}{54675 x^{6} + 215055 x^{5} + 352350 x^{4} + 307800 x^{3} + 151200 x^{2} + 39600 x + 4320} - 617100 \log{\left(x + \frac{3}{5} \right)} + 617100 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(2249329500*x**5 + 7422787350*x**4 + 9795413430*x**3 + 6461351715*x**2 + 2130399775*x + 280877649)/(54675*x**6 + 215055*x**5 + 352350*x**4 + 307800*x**3 + 151200*x**2 + 39600*x + 4320) - 617100*log(x + 3/5) + 617100*log(x + 2/3)","A",0
1416,1,82,0,0.224797," ","integrate((1-2*x)**3/(2+3*x)**7/(3+5*x)**2,x)","- \frac{470374492500 x^{6} + 1865818820250 x^{5} + 3083217691950 x^{4} + 2716778541015 x^{3} + 1346292632205 x^{2} + 355739265638 x + 39157648662}{1968300 x^{7} + 9054180 x^{6} + 17845920 x^{5} + 19537200 x^{4} + 12830400 x^{3} + 5054400 x^{2} + 1105920 x + 103680} - 3584625 \log{\left(x + \frac{3}{5} \right)} + 3584625 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(470374492500*x**6 + 1865818820250*x**5 + 3083217691950*x**4 + 2716778541015*x**3 + 1346292632205*x**2 + 355739265638*x + 39157648662)/(1968300*x**7 + 9054180*x**6 + 17845920*x**5 + 19537200*x**4 + 12830400*x**3 + 5054400*x**2 + 1105920*x + 103680) - 3584625*log(x + 3/5) + 3584625*log(x + 2/3)","A",0
1417,1,92,0,0.241039," ","integrate((1-2*x)**3/(2+3*x)**8/(3+5*x)**2,x)","- \frac{4019022562500 x^{7} + 18621471206250 x^{6} + 36972030521250 x^{5} + 40775613627375 x^{4} + 26978454053595 x^{3} + 10708299857748 x^{2} + 2360937751874 x + 223049897418}{2952450 x^{8} + 15549570 x^{7} + 35823060 x^{6} + 47151720 x^{5} + 38782800 x^{4} + 20412000 x^{3} + 6713280 x^{2} + 1261440 x + 103680} - 20418750 \log{\left(x + \frac{3}{5} \right)} + 20418750 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(4019022562500*x**7 + 18621471206250*x**6 + 36972030521250*x**5 + 40775613627375*x**4 + 26978454053595*x**3 + 10708299857748*x**2 + 2360937751874*x + 223049897418)/(2952450*x**8 + 15549570*x**7 + 35823060*x**6 + 47151720*x**5 + 38782800*x**4 + 20412000*x**3 + 6713280*x**2 + 1261440*x + 103680) - 20418750*log(x + 3/5) + 20418750*log(x + 2/3)","A",0
1418,1,76,0,0.148523," ","integrate((1-2*x)**3*(2+3*x)**7/(3+5*x)**3,x)","- \frac{2187 x^{8}}{125} - \frac{119556 x^{7}}{4375} + \frac{33291 x^{6}}{3125} + \frac{491913 x^{5}}{15625} + \frac{6507 x^{4}}{62500} - \frac{5918904 x^{3}}{390625} - \frac{2300646 x^{2}}{1953125} + \frac{46214407 x}{9765625} - \frac{272250 x + 164681}{2441406250 x^{2} + 2929687500 x + 878906250} + \frac{47289 \log{\left(5 x + 3 \right)}}{9765625}"," ",0,"-2187*x**8/125 - 119556*x**7/4375 + 33291*x**6/3125 + 491913*x**5/15625 + 6507*x**4/62500 - 5918904*x**3/390625 - 2300646*x**2/1953125 + 46214407*x/9765625 - (272250*x + 164681)/(2441406250*x**2 + 2929687500*x + 878906250) + 47289*log(5*x + 3)/9765625","A",0
1419,1,70,0,0.149288," ","integrate((1-2*x)**3*(2+3*x)**6/(3+5*x)**3,x)","- \frac{5832 x^{7}}{875} - \frac{3402 x^{6}}{625} + \frac{134622 x^{5}}{15625} + \frac{74223 x^{4}}{12500} - \frac{81747 x^{3}}{15625} - \frac{915777 x^{2}}{390625} + \frac{4571416 x}{1953125} - \frac{232320 x + 140723}{488281250 x^{2} + 585937500 x + 175781250} + \frac{166749 \log{\left(5 x + 3 \right)}}{9765625}"," ",0,"-5832*x**7/875 - 3402*x**6/625 + 134622*x**5/15625 + 74223*x**4/12500 - 81747*x**3/15625 - 915777*x**2/390625 + 4571416*x/1953125 - (232320*x + 140723)/(488281250*x**2 + 585937500*x + 175781250) + 166749*log(5*x + 3)/9765625","A",0
1420,1,63,0,0.145646," ","integrate((1-2*x)**3*(2+3*x)**5/(3+5*x)**3,x)","- \frac{324 x^{6}}{125} - \frac{324 x^{5}}{3125} + \frac{22977 x^{4}}{6250} - \frac{393 x^{3}}{625} - \frac{62097 x^{2}}{31250} + \frac{424432 x}{390625} - \frac{38478 x + 23353}{19531250 x^{2} + 23437500 x + 7031250} + \frac{109032 \log{\left(5 x + 3 \right)}}{1953125}"," ",0,"-324*x**6/125 - 324*x**5/3125 + 22977*x**4/6250 - 393*x**3/625 - 62097*x**2/31250 + 424432*x/390625 - (38478*x + 23353)/(19531250*x**2 + 23437500*x + 7031250) + 109032*log(5*x + 3)/1953125","A",0
1421,1,56,0,0.145645," ","integrate((1-2*x)**3*(2+3*x)**4/(3+5*x)**3,x)","- \frac{648 x^{5}}{625} + \frac{513 x^{4}}{625} + \frac{2826 x^{3}}{3125} - \frac{7617 x^{2}}{6250} + \frac{4691 x}{15625} - \frac{152460 x + 92807}{19531250 x^{2} + 23437500 x + 7031250} + \frac{63294 \log{\left(5 x + 3 \right)}}{390625}"," ",0,"-648*x**5/625 + 513*x**4/625 + 2826*x**3/3125 - 7617*x**2/6250 + 4691*x/15625 - (152460*x + 92807)/(19531250*x**2 + 23437500*x + 7031250) + 63294*log(5*x + 3)/390625","A",0
1422,1,49,0,0.135688," ","integrate((1-2*x)**3*(2+3*x)**3/(3+5*x)**3,x)","- \frac{54 x^{4}}{125} + \frac{468 x^{3}}{625} - \frac{927 x^{2}}{3125} - \frac{1303 x}{3125} - \frac{112530 x + 68849}{3906250 x^{2} + 4687500 x + 1406250} + \frac{5907 \log{\left(5 x + 3 \right)}}{15625}"," ",0,"-54*x**4/125 + 468*x**3/625 - 927*x**2/3125 - 1303*x/3125 - (112530*x + 68849)/(3906250*x**2 + 4687500*x + 1406250) + 5907*log(5*x + 3)/15625","A",0
1423,1,42,0,0.132870," ","integrate((1-2*x)**3*(2+3*x)**2/(3+5*x)**3,x)","- \frac{24 x^{3}}{125} + \frac{354 x^{2}}{625} - \frac{2978 x}{3125} - \frac{72600 x + 44891}{781250 x^{2} + 937500 x + 281250} + \frac{1551 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"-24*x**3/125 + 354*x**2/625 - 2978*x/3125 - (72600*x + 44891)/(781250*x**2 + 937500*x + 281250) + 1551*log(5*x + 3)/3125","A",0
1424,1,36,0,0.126392," ","integrate((1-2*x)**3*(2+3*x)/(3+5*x)**3,x)","- \frac{12 x^{2}}{125} + \frac{316 x}{625} - \frac{32670 x + 20933}{156250 x^{2} + 187500 x + 56250} - \frac{2046 \log{\left(5 x + 3 \right)}}{3125}"," ",0,"-12*x**2/125 + 316*x/625 - (32670*x + 20933)/(156250*x**2 + 187500*x + 56250) - 2046*log(5*x + 3)/3125","A",0
1425,1,31,0,0.116978," ","integrate((1-2*x)**3/(3+5*x)**3,x)","- \frac{8 x}{125} - \frac{- 1452 x - 605}{6250 x^{2} + 7500 x + 2250} + \frac{132 \log{\left(5 x + 3 \right)}}{625}"," ",0,"-8*x/125 - (-1452*x - 605)/(6250*x**2 + 7500*x + 2250) + 132*log(5*x + 3)/625","A",0
1426,1,36,0,0.175459," ","integrate((1-2*x)**3/(2+3*x)/(3+5*x)**3,x)","- \frac{- 47190 x - 26983}{6250 x^{2} + 7500 x + 2250} + \frac{14289 \log{\left(x + \frac{3}{5} \right)}}{125} - \frac{343 \log{\left(x + \frac{2}{3} \right)}}{3}"," ",0,"-(-47190*x - 26983)/(6250*x**2 + 7500*x + 2250) + 14289*log(x + 3/5)/125 - 343*log(x + 2/3)/3","A",0
1427,1,42,0,0.164243," ","integrate((1-2*x)**3/(2+3*x)**2/(3+5*x)**3,x)","- \frac{- 1212830 x^{2} - 1495689 x - 459996}{11250 x^{3} + 21000 x^{2} + 13050 x + 2700} + 1617 \log{\left(x + \frac{3}{5} \right)} - 1617 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-1212830*x**2 - 1495689*x - 459996)/(11250*x**3 + 21000*x**2 + 13050*x + 2700) + 1617*log(x + 3/5) - 1617*log(x + 2/3)","A",0
1428,1,53,0,0.178285," ","integrate((1-2*x)**3/(2+3*x)**3/(3+5*x)**3,x)","- \frac{- 7068600 x^{3} - 13430348 x^{2} - 8492784 x - 1787403}{6750 x^{4} + 17100 x^{3} + 16230 x^{2} + 6840 x + 1080} + 15708 \log{\left(x + \frac{3}{5} \right)} - 15708 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-7068600*x**3 - 13430348*x**2 - 8492784*x - 1787403)/(6750*x**4 + 17100*x**3 + 16230*x**2 + 6840*x + 1080) + 15708*log(x + 3/5) - 15708*log(x + 2/3)","A",0
1429,1,63,0,0.195983," ","integrate((1-2*x)**3/(2+3*x)**4/(3+5*x)**3,x)","- \frac{- 104193540 x^{4} - 267430086 x^{3} - 257165096 x^{2} - 109804551 x - 17564616}{12150 x^{5} + 38880 x^{4} + 49734 x^{3} + 31788 x^{2} + 10152 x + 1296} + 128634 \log{\left(x + \frac{3}{5} \right)} - 128634 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-104193540*x**4 - 267430086*x**3 - 257165096*x**2 - 109804551*x - 17564616)/(12150*x**5 + 38880*x**4 + 49734*x**3 + 31788*x**2 + 10152*x + 1296) + 128634*log(x + 3/5) - 128634*log(x + 2/3)","A",0
1430,1,73,0,0.218986," ","integrate((1-2*x)**3/(2+3*x)**5/(3+5*x)**3,x)","- \frac{- 1544726700 x^{5} - 4994616330 x^{4} - 6455813364 x^{3} - 4169655991 x^{2} - 1345680462 x - 173603415}{24300 x^{6} + 93960 x^{5} + 151308 x^{4} + 129888 x^{3} + 62688 x^{2} + 16128 x + 1728} + 953535 \log{\left(x + \frac{3}{5} \right)} - 953535 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-1544726700*x**5 - 4994616330*x**4 - 6455813364*x**3 - 4169655991*x**2 - 1345680462*x - 173603415)/(24300*x**6 + 93960*x**5 + 151308*x**4 + 129888*x**3 + 62688*x**2 + 16128*x + 1728) + 953535*log(x + 3/5) - 953535*log(x + 2/3)","A",0
1431,1,83,0,0.235481," ","integrate((1-2*x)**3/(2+3*x)**6/(3+5*x)**3,x)","- \frac{- 160841092500 x^{6} - 627280260750 x^{5} - 1018898535600 x^{4} - 882286862985 x^{3} - 429553050280 x^{2} - 111486629505 x - 12050702538}{364500 x^{7} + 1652400 x^{6} + 3209220 x^{5} + 3461400 x^{4} + 2239200 x^{3} + 868800 x^{2} + 187200 x + 17280} + 6618975 \log{\left(x + \frac{3}{5} \right)} - 6618975 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-160841092500*x**6 - 627280260750*x**5 - 1018898535600*x**4 - 882286862985*x**3 - 429553050280*x**2 - 111486629505*x - 12050702538)/(364500*x**7 + 1652400*x**6 + 3209220*x**5 + 3461400*x**4 + 2239200*x**3 + 868800*x**2 + 187200*x + 17280) + 6618975*log(x + 3/5) - 6618975*log(x + 2/3)","A",0
1432,1,94,0,0.247176," ","integrate((1-2*x)**3/(2+3*x)**7/(3+5*x)**3,x)","- \frac{- 4794860812500 x^{7} - 21896531043750 x^{6} - 42841193422500 x^{5} - 46551705341625 x^{4} - 30340145968110 x^{3} - 11860532030465 x^{2} - 2574943269792 x - 239497011063}{1640250 x^{8} + 8529300 x^{7} + 19398690 x^{6} + 25203960 x^{5} + 20460600 x^{4} + 10627200 x^{3} + 3448800 x^{2} + 639360 x + 51840} + 43848750 \log{\left(x + \frac{3}{5} \right)} - 43848750 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-4794860812500*x**7 - 21896531043750*x**6 - 42841193422500*x**5 - 46551705341625*x**4 - 30340145968110*x**3 - 11860532030465*x**2 - 2574943269792*x - 239497011063)/(1640250*x**8 + 8529300*x**7 + 19398690*x**6 + 25203960*x**5 + 20460600*x**4 + 10627200*x**3 + 3448800*x**2 + 639360*x + 51840) + 43848750*log(x + 3/5) - 43848750*log(x + 2/3)","A",0
1433,1,104,0,0.267760," ","integrate((1-2*x)**3/(2+3*x)**8/(3+5*x)**3,x)","- \frac{- 30672675000000 x^{8} - 160520332500000 x^{7} - 367435926000000 x^{6} - 480493891350000 x^{5} - 392612784696000 x^{4} - 205262100529200 x^{3} - 67053019228048 x^{2} - 12513316868859 x - 1021373267628}{1640250 x^{9} + 9622800 x^{8} + 25084890 x^{7} + 38136420 x^{6} + 37263240 x^{5} + 24267600 x^{4} + 10533600 x^{3} + 2938560 x^{2} + 478080 x + 34560} + 280500000 \log{\left(x + \frac{3}{5} \right)} - 280500000 \log{\left(x + \frac{2}{3} \right)}"," ",0,"-(-30672675000000*x**8 - 160520332500000*x**7 - 367435926000000*x**6 - 480493891350000*x**5 - 392612784696000*x**4 - 205262100529200*x**3 - 67053019228048*x**2 - 12513316868859*x - 1021373267628)/(1640250*x**9 + 9622800*x**8 + 25084890*x**7 + 38136420*x**6 + 37263240*x**5 + 24267600*x**4 + 10533600*x**3 + 2938560*x**2 + 478080*x + 34560) + 280500000*log(x + 3/5) - 280500000*log(x + 2/3)","A",0
1434,1,70,0,0.119581," ","integrate((2+3*x)**8*(3+5*x)/(1-2*x),x)","- \frac{3645 x^{9}}{2} - \frac{422091 x^{8}}{32} - \frac{353565 x^{7}}{8} - \frac{2929689 x^{6}}{32} - \frac{21272139 x^{5}}{160} - \frac{37722699 x^{4}}{256} - \frac{17391129 x^{3}}{128} - \frac{60332619 x^{2}}{512} - \frac{63019595 x}{512} - \frac{63412811 \log{\left(2 x - 1 \right)}}{1024}"," ",0,"-3645*x**9/2 - 422091*x**8/32 - 353565*x**7/8 - 2929689*x**6/32 - 21272139*x**5/160 - 37722699*x**4/256 - 17391129*x**3/128 - 60332619*x**2/512 - 63019595*x/512 - 63412811*log(2*x - 1)/1024","A",0
1435,1,63,0,0.118835," ","integrate((2+3*x)**7*(3+5*x)/(1-2*x),x)","- \frac{10935 x^{8}}{16} - \frac{126117 x^{7}}{28} - \frac{218943 x^{6}}{16} - \frac{2053917 x^{5}}{80} - \frac{4352157 x^{4}}{128} - \frac{2257119 x^{3}}{64} - \frac{8362653 x^{2}}{256} - \frac{8960669 x}{256} - \frac{9058973 \log{\left(2 x - 1 \right)}}{512}"," ",0,"-10935*x**8/16 - 126117*x**7/28 - 218943*x**6/16 - 2053917*x**5/80 - 4352157*x**4/128 - 2257119*x**3/64 - 8362653*x**2/256 - 8960669*x/256 - 9058973*log(2*x - 1)/512","A",0
1436,1,56,0,0.112194," ","integrate((2+3*x)**6*(3+5*x)/(1-2*x),x)","- \frac{3645 x^{7}}{14} - \frac{12393 x^{6}}{8} - \frac{169371 x^{5}}{40} - \frac{458811 x^{4}}{64} - \frac{279657 x^{3}}{32} - \frac{1138491 x^{2}}{128} - \frac{1269563 x}{128} - \frac{1294139 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-3645*x**7/14 - 12393*x**6/8 - 169371*x**5/40 - 458811*x**4/64 - 279657*x**3/32 - 1138491*x**2/128 - 1269563*x/128 - 1294139*log(2*x - 1)/256","A",0
1437,1,49,0,0.107475," ","integrate((2+3*x)**5*(3+5*x)/(1-2*x),x)","- \frac{405 x^{6}}{4} - \frac{10773 x^{5}}{20} - \frac{42093 x^{4}}{32} - \frac{32271 x^{3}}{16} - \frac{150573 x^{2}}{64} - \frac{178733 x}{64} - \frac{184877 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-405*x**6/4 - 10773*x**5/20 - 42093*x**4/32 - 32271*x**3/16 - 150573*x**2/64 - 178733*x/64 - 184877*log(2*x - 1)/128","A",0
1438,1,42,0,0.102951," ","integrate((2+3*x)**4*(3+5*x)/(1-2*x),x)","- \frac{81 x^{5}}{2} - \frac{3051 x^{4}}{16} - \frac{3321 x^{3}}{8} - \frac{18987 x^{2}}{32} - \frac{24875 x}{32} - \frac{26411 \log{\left(2 x - 1 \right)}}{64}"," ",0,"-81*x**5/2 - 3051*x**4/16 - 3321*x**3/8 - 18987*x**2/32 - 24875*x/32 - 26411*log(2*x - 1)/64","A",0
1439,1,36,0,0.099200," ","integrate((2+3*x)**3*(3+5*x)/(1-2*x),x)","- \frac{135 x^{4}}{8} - \frac{279 x^{3}}{4} - \frac{2205 x^{2}}{16} - \frac{3389 x}{16} - \frac{3773 \log{\left(2 x - 1 \right)}}{32}"," ",0,"-135*x**4/8 - 279*x**3/4 - 2205*x**2/16 - 3389*x/16 - 3773*log(2*x - 1)/32","A",0
1440,1,29,0,0.094857," ","integrate((2+3*x)**2*(3+5*x)/(1-2*x),x)","- \frac{15 x^{3}}{2} - \frac{219 x^{2}}{8} - \frac{443 x}{8} - \frac{539 \log{\left(2 x - 1 \right)}}{16}"," ",0,"-15*x**3/2 - 219*x**2/8 - 443*x/8 - 539*log(2*x - 1)/16","A",0
1441,1,22,0,0.089370," ","integrate((2+3*x)*(3+5*x)/(1-2*x),x)","- \frac{15 x^{2}}{4} - \frac{53 x}{4} - \frac{77 \log{\left(2 x - 1 \right)}}{8}"," ",0,"-15*x**2/4 - 53*x/4 - 77*log(2*x - 1)/8","A",0
1442,1,15,0,0.080983," ","integrate((3+5*x)/(1-2*x),x)","- \frac{5 x}{2} - \frac{11 \log{\left(2 x - 1 \right)}}{4}"," ",0,"-5*x/2 - 11*log(2*x - 1)/4","A",0
1443,1,19,0,0.117022," ","integrate((3+5*x)/(1-2*x)/(2+3*x),x)","- \frac{11 \log{\left(x - \frac{1}{2} \right)}}{14} - \frac{\log{\left(x + \frac{2}{3} \right)}}{21}"," ",0,"-11*log(x - 1/2)/14 - log(x + 2/3)/21","A",0
1444,1,26,0,0.125304," ","integrate((3+5*x)/(1-2*x)/(2+3*x)**2,x)","- \frac{11 \log{\left(x - \frac{1}{2} \right)}}{49} + \frac{11 \log{\left(x + \frac{2}{3} \right)}}{49} + \frac{1}{63 x + 42}"," ",0,"-11*log(x - 1/2)/49 + 11*log(x + 2/3)/49 + 1/(63*x + 42)","A",0
1445,1,34,0,0.143676," ","integrate((3+5*x)/(1-2*x)/(2+3*x)**3,x)","- \frac{198 x + 125}{2646 x^{2} + 3528 x + 1176} - \frac{22 \log{\left(x - \frac{1}{2} \right)}}{343} + \frac{22 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(198*x + 125)/(2646*x**2 + 3528*x + 1176) - 22*log(x - 1/2)/343 + 22*log(x + 2/3)/343","A",0
1446,1,44,0,0.159099," ","integrate((3+5*x)/(1-2*x)/(2+3*x)**4,x)","- \frac{3564 x^{2} + 6831 x + 2872}{166698 x^{3} + 333396 x^{2} + 222264 x + 49392} - \frac{44 \log{\left(x - \frac{1}{2} \right)}}{2401} + \frac{44 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(3564*x**2 + 6831*x + 2872)/(166698*x**3 + 333396*x**2 + 222264*x + 49392) - 44*log(x - 1/2)/2401 + 44*log(x + 2/3)/2401","A",0
1447,1,54,0,0.171734," ","integrate((3+5*x)/(1-2*x)/(2+3*x)**5,x)","- \frac{4752 x^{3} + 12276 x^{2} + 12188 x + 3963}{777924 x^{4} + 2074464 x^{3} + 2074464 x^{2} + 921984 x + 153664} - \frac{88 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{88 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(4752*x**3 + 12276*x**2 + 12188*x + 3963)/(777924*x**4 + 2074464*x**3 + 2074464*x**2 + 921984*x + 153664) - 88*log(x - 1/2)/16807 + 88*log(x + 2/3)/16807","A",0
1448,1,65,0,0.189658," ","integrate((3+5*x)/(1-2*x)/(2+3*x)**6,x)","- \frac{427680 x^{4} + 1389960 x^{3} + 1833480 x^{2} + 1268025 x + 348226}{245046060 x^{5} + 816820200 x^{4} + 1089093600 x^{3} + 726062400 x^{2} + 242020800 x + 32269440} - \frac{176 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{176 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(427680*x**4 + 1389960*x**3 + 1833480*x**2 + 1268025*x + 348226)/(245046060*x**5 + 816820200*x**4 + 1089093600*x**3 + 726062400*x**2 + 242020800*x + 32269440) - 176*log(x - 1/2)/117649 + 176*log(x + 2/3)/117649","A",0
1449,1,75,0,0.204198," ","integrate((3+5*x)/(1-2*x)/(2+3*x)**7,x)","- \frac{3849120 x^{5} + 15075720 x^{4} + 24841080 x^{3} + 22413105 x^{2} + 12254814 x + 3013741}{7718950890 x^{6} + 30875803560 x^{5} + 51459672600 x^{4} + 45741931200 x^{3} + 22870965600 x^{2} + 6098924160 x + 677658240} - \frac{352 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{352 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(3849120*x**5 + 15075720*x**4 + 24841080*x**3 + 22413105*x**2 + 12254814*x + 3013741)/(7718950890*x**6 + 30875803560*x**5 + 51459672600*x**4 + 45741931200*x**3 + 22870965600*x**2 + 6098924160*x + 677658240) - 352*log(x - 1/2)/823543 + 352*log(x + 2/3)/823543","A",0
1450,1,85,0,0.220524," ","integrate((3+5*x)/(1-2*x)/(2+3*x)**8,x)","- \frac{7698240 x^{6} + 35283600 x^{5} + 69783120 x^{4} + 77947650 x^{3} + 54393768 x^{2} + 25308459 x + 5811068}{54032656230 x^{7} + 252152395740 x^{6} + 504304791480 x^{5} + 560338657200 x^{4} + 373559104800 x^{3} + 149423641920 x^{2} + 33205253760 x + 3162405120} - \frac{704 \log{\left(x - \frac{1}{2} \right)}}{5764801} + \frac{704 \log{\left(x + \frac{2}{3} \right)}}{5764801}"," ",0,"-(7698240*x**6 + 35283600*x**5 + 69783120*x**4 + 77947650*x**3 + 54393768*x**2 + 25308459*x + 5811068)/(54032656230*x**7 + 252152395740*x**6 + 504304791480*x**5 + 560338657200*x**4 + 373559104800*x**3 + 149423641920*x**2 + 33205253760*x + 3162405120) - 704*log(x - 1/2)/5764801 + 704*log(x + 2/3)/5764801","A",0
1451,1,76,0,0.127575," ","integrate((2+3*x)**8*(3+5*x)**2/(1-2*x),x)","- \frac{32805 x^{10}}{4} - \frac{256365 x^{9}}{4} - \frac{14907321 x^{8}}{64} - \frac{8399295 x^{7}}{16} - \frac{53031699 x^{6}}{64} - \frac{316246329 x^{5}}{320} - \frac{487203129 x^{4}}{512} - \frac{204901139 x^{3}}{256} - \frac{677093689 x^{2}}{1024} - \frac{695181625 x}{1024} - \frac{697540921 \log{\left(2 x - 1 \right)}}{2048}"," ",0,"-32805*x**10/4 - 256365*x**9/4 - 14907321*x**8/64 - 8399295*x**7/16 - 53031699*x**6/64 - 316246329*x**5/320 - 487203129*x**4/512 - 204901139*x**3/256 - 677093689*x**2/1024 - 695181625*x/1024 - 697540921*log(2*x - 1)/2048","A",0
1452,1,70,0,0.123301," ","integrate((2+3*x)**7*(3+5*x)**2/(1-2*x),x)","- \frac{6075 x^{9}}{2} - \frac{696195 x^{8}}{32} - \frac{4040847 x^{7}}{56} - \frac{4736853 x^{6}}{32} - \frac{34084287 x^{5}}{160} - \frac{59969727 x^{4}}{256} - \frac{27480469 x^{3}}{128} - \frac{94979263 x^{2}}{512} - \frac{99058879 x}{512} - \frac{99648703 \log{\left(2 x - 1 \right)}}{1024}"," ",0,"-6075*x**9/2 - 696195*x**8/32 - 4040847*x**7/56 - 4736853*x**6/32 - 34084287*x**5/160 - 59969727*x**4/256 - 27480469*x**3/128 - 94979263*x**2/512 - 99058879*x/512 - 99648703*log(2*x - 1)/1024","A",0
1453,1,63,0,0.119094," ","integrate((2+3*x)**6*(3+5*x)**2/(1-2*x),x)","- \frac{18225 x^{8}}{16} - \frac{207765 x^{7}}{28} - \frac{356643 x^{6}}{16} - \frac{3310281 x^{5}}{80} - \frac{6947721 x^{4}}{128} - \frac{3575427 x^{3}}{64} - \frac{13178761 x^{2}}{256} - \frac{14088073 x}{256} - \frac{14235529 \log{\left(2 x - 1 \right)}}{512}"," ",0,"-18225*x**8/16 - 207765*x**7/28 - 356643*x**6/16 - 3310281*x**5/80 - 6947721*x**4/128 - 3575427*x**3/64 - 13178761*x**2/256 - 14088073*x/256 - 14235529*log(2*x - 1)/512","A",0
1454,1,56,0,0.115873," ","integrate((2+3*x)**5*(3+5*x)**2/(1-2*x),x)","- \frac{6075 x^{7}}{14} - \frac{20385 x^{6}}{8} - \frac{275103 x^{5}}{40} - \frac{736623 x^{4}}{64} - \frac{444581 x^{3}}{32} - \frac{1797103 x^{2}}{128} - \frac{1996783 x}{128} - \frac{2033647 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-6075*x**7/14 - 20385*x**6/8 - 275103*x**5/40 - 736623*x**4/64 - 444581*x**3/32 - 1797103*x**2/128 - 1996783*x/128 - 2033647*log(2*x - 1)/256","A",0
1455,1,49,0,0.110582," ","integrate((2+3*x)**4*(3+5*x)**2/(1-2*x),x)","- \frac{675 x^{6}}{4} - \frac{3537 x^{5}}{4} - \frac{68121 x^{4}}{32} - \frac{51571 x^{3}}{16} - \frac{238297 x^{2}}{64} - \frac{281305 x}{64} - \frac{290521 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-675*x**6/4 - 3537*x**5/4 - 68121*x**4/32 - 51571*x**3/16 - 238297*x**2/64 - 281305*x/64 - 290521*log(2*x - 1)/128","A",0
1456,1,42,0,0.107673," ","integrate((2+3*x)**3*(3+5*x)**2/(1-2*x),x)","- \frac{135 x^{5}}{2} - \frac{4995 x^{4}}{16} - \frac{5349 x^{3}}{8} - \frac{30175 x^{2}}{32} - \frac{39199 x}{32} - \frac{41503 \log{\left(2 x - 1 \right)}}{64}"," ",0,"-135*x**5/2 - 4995*x**4/16 - 5349*x**3/8 - 30175*x**2/32 - 39199*x/32 - 41503*log(2*x - 1)/64","A",0
1457,1,36,0,0.102346," ","integrate((2+3*x)**2*(3+5*x)**2/(1-2*x),x)","- \frac{225 x^{4}}{8} - \frac{455 x^{3}}{4} - \frac{3529 x^{2}}{16} - \frac{5353 x}{16} - \frac{5929 \log{\left(2 x - 1 \right)}}{32}"," ",0,"-225*x**4/8 - 455*x**3/4 - 3529*x**2/16 - 5353*x/16 - 5929*log(2*x - 1)/32","A",0
1458,1,29,0,0.095598," ","integrate((2+3*x)*(3+5*x)**2/(1-2*x),x)","- \frac{25 x^{3}}{2} - \frac{355 x^{2}}{8} - \frac{703 x}{8} - \frac{847 \log{\left(2 x - 1 \right)}}{16}"," ",0,"-25*x**3/2 - 355*x**2/8 - 703*x/8 - 847*log(2*x - 1)/16","A",0
1459,1,22,0,0.090971," ","integrate((3+5*x)**2/(1-2*x),x)","- \frac{25 x^{2}}{4} - \frac{85 x}{4} - \frac{121 \log{\left(2 x - 1 \right)}}{8}"," ",0,"-25*x**2/4 - 85*x/4 - 121*log(2*x - 1)/8","A",0
1460,1,22,0,0.129997," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x),x)","- \frac{25 x}{6} - \frac{121 \log{\left(x - \frac{1}{2} \right)}}{28} + \frac{\log{\left(x + \frac{2}{3} \right)}}{63}"," ",0,"-25*x/6 - 121*log(x - 1/2)/28 + log(x + 2/3)/63","A",0
1461,1,27,0,0.150075," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x)**2,x)","- \frac{121 \log{\left(x - \frac{1}{2} \right)}}{98} - \frac{68 \log{\left(x + \frac{2}{3} \right)}}{441} - \frac{1}{189 x + 126}"," ",0,"-121*log(x - 1/2)/98 - 68*log(x + 2/3)/441 - 1/(189*x + 126)","A",0
1462,1,36,0,0.155298," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x)**3,x)","- \frac{- 408 x - 265}{7938 x^{2} + 10584 x + 3528} - \frac{121 \log{\left(x - \frac{1}{2} \right)}}{343} + \frac{121 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(-408*x - 265)/(7938*x**2 + 10584*x + 3528) - 121*log(x - 1/2)/343 + 121*log(x + 2/3)/343","A",0
1463,1,44,0,0.171858," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x)**4,x)","- \frac{29403 x^{2} + 37062 x + 11689}{250047 x^{3} + 500094 x^{2} + 333396 x + 74088} - \frac{242 \log{\left(x - \frac{1}{2} \right)}}{2401} + \frac{242 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(29403*x**2 + 37062*x + 11689)/(250047*x**3 + 500094*x**2 + 333396*x + 74088) - 242*log(x - 1/2)/2401 + 242*log(x + 2/3)/2401","A",0
1464,1,54,0,0.182776," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x)**5,x)","- \frac{705672 x^{3} + 1822986 x^{2} + 1449768 x + 366413}{21003948 x^{4} + 56010528 x^{3} + 56010528 x^{2} + 24893568 x + 4148928} - \frac{484 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{484 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(705672*x**3 + 1822986*x**2 + 1449768*x + 366413)/(21003948*x**4 + 56010528*x**3 + 56010528*x**2 + 24893568*x + 4148928) - 484*log(x - 1/2)/16807 + 484*log(x + 2/3)/16807","A",0
1465,1,65,0,0.196562," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x)**6,x)","- \frac{1764180 x^{4} + 5733585 x^{3} + 7563105 x^{2} + 4442775 x + 953231}{183784545 x^{5} + 612615150 x^{4} + 816820200 x^{3} + 544546800 x^{2} + 181515600 x + 24202080} - \frac{968 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{968 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(1764180*x**4 + 5733585*x**3 + 7563105*x**2 + 4442775*x + 953231)/(183784545*x**5 + 612615150*x**4 + 816820200*x**3 + 544546800*x**2 + 181515600*x + 24202080) - 968*log(x - 1/2)/117649 + 968*log(x + 2/3)/117649","A",0
1466,1,75,0,0.210595," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x)**7,x)","- \frac{127020960 x^{5} + 497498760 x^{4} + 819755640 x^{3} + 739632465 x^{2} + 351466812 x + 67099978}{46313705340 x^{6} + 185254821360 x^{5} + 308758035600 x^{4} + 274451587200 x^{3} + 137225793600 x^{2} + 36593544960 x + 4065949440} - \frac{1936 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{1936 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(127020960*x**5 + 497498760*x**4 + 819755640*x**3 + 739632465*x**2 + 351466812*x + 67099978)/(46313705340*x**6 + 185254821360*x**5 + 308758035600*x**4 + 274451587200*x**3 + 137225793600*x**2 + 36593544960*x + 4065949440) - 1936*log(x - 1/2)/823543 + 1936*log(x + 2/3)/823543","A",0
1467,1,85,0,0.230602," ","integrate((3+5*x)**2/(1-2*x)/(2+3*x)**8,x)","- \frac{381062880 x^{6} + 1746538200 x^{5} + 3454264440 x^{4} + 3858408675 x^{3} + 2692491516 x^{2} + 1098354408 x + 193528666}{486293906070 x^{7} + 2269371561660 x^{6} + 4538743123320 x^{5} + 5043047914800 x^{4} + 3362031943200 x^{3} + 1344812777280 x^{2} + 298847283840 x + 28461646080} - \frac{3872 \log{\left(x - \frac{1}{2} \right)}}{5764801} + \frac{3872 \log{\left(x + \frac{2}{3} \right)}}{5764801}"," ",0,"-(381062880*x**6 + 1746538200*x**5 + 3454264440*x**4 + 3858408675*x**3 + 2692491516*x**2 + 1098354408*x + 193528666)/(486293906070*x**7 + 2269371561660*x**6 + 4538743123320*x**5 + 5043047914800*x**4 + 3362031943200*x**3 + 1344812777280*x**2 + 298847283840*x + 28461646080) - 3872*log(x - 1/2)/5764801 + 3872*log(x + 2/3)/5764801","A",0
1468,1,76,0,0.128626," ","integrate((2+3*x)**7*(3+5*x)**3/(1-2*x),x)","- \frac{54675 x^{10}}{4} - \frac{423225 x^{9}}{4} - \frac{24381405 x^{8}}{64} - \frac{95297877 x^{7}}{112} - \frac{85228263 x^{6}}{64} - \frac{504354357 x^{5}}{320} - \frac{772025397 x^{4}}{512} - \frac{969544757 x^{3}}{768} - \frac{1065169973 x^{2}}{1024} - \frac{1092596789 x}{1024} - \frac{1096135733 \log{\left(2 x - 1 \right)}}{2048}"," ",0,"-54675*x**10/4 - 423225*x**9/4 - 24381405*x**8/64 - 95297877*x**7/112 - 85228263*x**6/64 - 504354357*x**5/320 - 772025397*x**4/512 - 969544757*x**3/768 - 1065169973*x**2/1024 - 1092596789*x/1024 - 1096135733*log(2*x - 1)/2048","A",0
1469,1,70,0,0.124582," ","integrate((2+3*x)**6*(3+5*x)**3/(1-2*x),x)","- \frac{10125 x^{9}}{2} - \frac{1148175 x^{8}}{32} - \frac{6596235 x^{7}}{56} - \frac{7656993 x^{6}}{32} - \frac{54600291 x^{5}}{160} - \frac{95317731 x^{4}}{256} - \frac{130251491 x^{3}}{384} - \frac{149512931 x^{2}}{512} - \frac{155706083 x}{512} - \frac{156590819 \log{\left(2 x - 1 \right)}}{1024}"," ",0,"-10125*x**9/2 - 1148175*x**8/32 - 6596235*x**7/56 - 7656993*x**6/32 - 54600291*x**5/160 - 95317731*x**4/256 - 130251491*x**3/384 - 149512931*x**2/512 - 155706083*x/512 - 156590819*log(2*x - 1)/1024","A",0
1470,1,63,0,0.119170," ","integrate((2+3*x)**5*(3+5*x)**3/(1-2*x),x)","- \frac{30375 x^{8}}{16} - \frac{342225 x^{7}}{28} - \frac{580815 x^{6}}{16} - \frac{5333733 x^{5}}{80} - \frac{11088453 x^{4}}{128} - \frac{16987973 x^{3}}{192} - \frac{20766533 x^{2}}{256} - \frac{22148933 x}{256} - \frac{22370117 \log{\left(2 x - 1 \right)}}{512}"," ",0,"-30375*x**8/16 - 342225*x**7/28 - 580815*x**6/16 - 5333733*x**5/80 - 11088453*x**4/128 - 16987973*x**3/192 - 20766533*x**2/256 - 22148933*x/256 - 22370117*log(2*x - 1)/512","A",0
1471,1,56,0,0.118056," ","integrate((2+3*x)**4*(3+5*x)**3/(1-2*x),x)","- \frac{10125 x^{7}}{14} - \frac{33525 x^{6}}{8} - \frac{89343 x^{5}}{8} - \frac{1182291 x^{4}}{64} - \frac{2119763 x^{3}}{96} - \frac{2836307 x^{2}}{128} - \frac{3140435 x}{128} - \frac{3195731 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-10125*x**7/14 - 33525*x**6/8 - 89343*x**5/8 - 1182291*x**4/64 - 2119763*x**3/96 - 2836307*x**2/128 - 3140435*x/128 - 3195731*log(2*x - 1)/256","A",0
1472,1,49,0,0.110370," ","integrate((2+3*x)**3*(3+5*x)**3/(1-2*x),x)","- \frac{1125 x^{6}}{4} - \frac{5805 x^{5}}{4} - \frac{110205 x^{4}}{32} - \frac{247157 x^{3}}{48} - \frac{377045 x^{2}}{64} - \frac{442709 x}{64} - \frac{456533 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-1125*x**6/4 - 5805*x**5/4 - 110205*x**4/32 - 247157*x**3/48 - 377045*x**2/64 - 442709*x/64 - 456533*log(2*x - 1)/128","A",0
1473,1,42,0,0.106381," ","integrate((2+3*x)**2*(3+5*x)**3/(1-2*x),x)","- \frac{225 x^{5}}{2} - \frac{8175 x^{4}}{16} - \frac{25835 x^{3}}{24} - \frac{47939 x^{2}}{32} - \frac{61763 x}{32} - \frac{65219 \log{\left(2 x - 1 \right)}}{64}"," ",0,"-225*x**5/2 - 8175*x**4/16 - 25835*x**3/24 - 47939*x**2/32 - 61763*x/32 - 65219*log(2*x - 1)/64","A",0
1474,1,36,0,0.099540," ","integrate((2+3*x)*(3+5*x)**3/(1-2*x),x)","- \frac{375 x^{4}}{8} - \frac{2225 x^{3}}{12} - \frac{5645 x^{2}}{16} - \frac{8453 x}{16} - \frac{9317 \log{\left(2 x - 1 \right)}}{32}"," ",0,"-375*x**4/8 - 2225*x**3/12 - 5645*x**2/16 - 8453*x/16 - 9317*log(2*x - 1)/32","A",0
1475,1,29,0,0.093804," ","integrate((3+5*x)**3/(1-2*x),x)","- \frac{125 x^{3}}{6} - \frac{575 x^{2}}{8} - \frac{1115 x}{8} - \frac{1331 \log{\left(2 x - 1 \right)}}{16}"," ",0,"-125*x**3/6 - 575*x**2/8 - 1115*x/8 - 1331*log(2*x - 1)/16","A",0
1476,1,31,0,0.133947," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x),x)","- \frac{125 x^{2}}{12} - \frac{1225 x}{36} - \frac{1331 \log{\left(x - \frac{1}{2} \right)}}{56} - \frac{\log{\left(x + \frac{2}{3} \right)}}{189}"," ",0,"-125*x**2/12 - 1225*x/36 - 1331*log(x - 1/2)/56 - log(x + 2/3)/189","A",0
1477,1,31,0,0.154170," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x)**2,x)","- \frac{125 x}{18} - \frac{1331 \log{\left(x - \frac{1}{2} \right)}}{196} + \frac{103 \log{\left(x + \frac{2}{3} \right)}}{1323} + \frac{1}{567 x + 378}"," ",0,"-125*x/18 - 1331*log(x - 1/2)/196 + 103*log(x + 2/3)/1323 + 1/(567*x + 378)","A",0
1478,1,36,0,0.173919," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x)**3,x)","- \frac{206 x + 135}{7938 x^{2} + 10584 x + 3528} - \frac{1331 \log{\left(x - \frac{1}{2} \right)}}{686} - \frac{3469 \log{\left(x + \frac{2}{3} \right)}}{9261}"," ",0,"-(206*x + 135)/(7938*x**2 + 10584*x + 3528) - 1331*log(x - 1/2)/686 - 3469*log(x + 2/3)/9261","A",0
1479,1,46,0,0.173763," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x)**4,x)","- \frac{- 187326 x^{2} - 243279 x - 79028}{1500282 x^{3} + 3000564 x^{2} + 2000376 x + 444528} - \frac{1331 \log{\left(x - \frac{1}{2} \right)}}{2401} + \frac{1331 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(-187326*x**2 - 243279*x - 79028)/(1500282*x**3 + 3000564*x**2 + 2000376*x + 444528) - 1331*log(x - 1/2)/2401 + 1331*log(x + 2/3)/2401","A",0
1480,1,54,0,0.188699," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x)**5,x)","- \frac{11643588 x^{3} + 21975894 x^{2} + 13836972 x + 2906507}{63011844 x^{4} + 168031584 x^{3} + 168031584 x^{2} + 74680704 x + 12446784} - \frac{2662 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{2662 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(11643588*x**3 + 21975894*x**2 + 13836972*x + 2906507)/(63011844*x**4 + 168031584*x**3 + 168031584*x**2 + 74680704*x + 12446784) - 2662*log(x - 1/2)/16807 + 2662*log(x + 2/3)/16807","A",0
1481,1,65,0,0.204445," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x)**6,x)","- \frac{349307640 x^{4} + 1135249830 x^{3} + 1308416040 x^{2} + 646472325 x + 116805778}{6616243620 x^{5} + 22054145400 x^{4} + 29405527200 x^{3} + 19603684800 x^{2} + 6534561600 x + 871274880} - \frac{5324 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{5324 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(349307640*x**4 + 1135249830*x**3 + 1308416040*x**2 + 646472325*x + 116805778)/(6616243620*x**5 + 22054145400*x**4 + 29405527200*x**3 + 19603684800*x**2 + 6534561600*x + 871274880) - 5324*log(x - 1/2)/117649 + 5324*log(x + 2/3)/117649","A",0
1482,1,75,0,0.220733," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x)**7,x)","- \frac{2095845840 x^{5} + 8208729540 x^{4} + 13525968060 x^{3} + 11211272235 x^{2} + 4581535248 x + 733614062}{138941116020 x^{6} + 555764464080 x^{5} + 926274106800 x^{4} + 823354761600 x^{3} + 411677380800 x^{2} + 109780634880 x + 12197848320} - \frac{10648 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{10648 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(2095845840*x**5 + 8208729540*x**4 + 13525968060*x**3 + 11211272235*x**2 + 4581535248*x + 733614062)/(138941116020*x**6 + 555764464080*x**5 + 926274106800*x**4 + 823354761600*x**3 + 411677380800*x**2 + 109780634880*x + 12197848320) - 10648*log(x - 1/2)/823543 + 10648*log(x + 2/3)/823543","A",0
1483,1,85,0,0.236016," ","integrate((3+5*x)**3/(1-2*x)/(2+3*x)**8,x)","- \frac{12575075040 x^{6} + 57635760600 x^{5} + 113990726520 x^{4} + 127327486275 x^{3} + 83293304778 x^{2} + 29451465714 x + 4309941128}{2917763436420 x^{7} + 13616229369960 x^{6} + 27232458739920 x^{5} + 30258287488800 x^{4} + 20172191659200 x^{3} + 8068876663680 x^{2} + 1793083703040 x + 170769876480} - \frac{21296 \log{\left(x - \frac{1}{2} \right)}}{5764801} + \frac{21296 \log{\left(x + \frac{2}{3} \right)}}{5764801}"," ",0,"-(12575075040*x**6 + 57635760600*x**5 + 113990726520*x**4 + 127327486275*x**3 + 83293304778*x**2 + 29451465714*x + 4309941128)/(2917763436420*x**7 + 13616229369960*x**6 + 27232458739920*x**5 + 30258287488800*x**4 + 20172191659200*x**3 + 8068876663680*x**2 + 1793083703040*x + 170769876480) - 21296*log(x - 1/2)/5764801 + 21296*log(x + 2/3)/5764801","A",0
1484,-1,0,0,0.000000," ","integrate((b*x+a)**3/(d*x+c)/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1485,1,63,0,0.162012," ","integrate((2+3*x)**8/(1-2*x)/(3+5*x),x)","- \frac{6561 x^{7}}{70} - \frac{114453 x^{6}}{200} - \frac{8018271 x^{5}}{5000} - \frac{111146499 x^{4}}{40000} - \frac{345533877 x^{3}}{100000} - \frac{7136193339 x^{2}}{2000000} - \frac{40089855591 x}{10000000} - \frac{5764801 \log{\left(x - \frac{1}{2} \right)}}{2816} + \frac{\log{\left(x + \frac{3}{5} \right)}}{4296875}"," ",0,"-6561*x**7/70 - 114453*x**6/200 - 8018271*x**5/5000 - 111146499*x**4/40000 - 345533877*x**3/100000 - 7136193339*x**2/2000000 - 40089855591*x/10000000 - 5764801*log(x - 1/2)/2816 + log(x + 3/5)/4296875","A",0
1486,1,56,0,0.153405," ","integrate((2+3*x)**7/(1-2*x)/(3+5*x),x)","- \frac{729 x^{6}}{20} - \frac{99873 x^{5}}{500} - \frac{2006937 x^{4}}{4000} - \frac{7889751 x^{3}}{10000} - \frac{187738857 x^{2}}{200000} - \frac{1127138733 x}{1000000} - \frac{823543 \log{\left(x - \frac{1}{2} \right)}}{1408} + \frac{\log{\left(x + \frac{3}{5} \right)}}{859375}"," ",0,"-729*x**6/20 - 99873*x**5/500 - 2006937*x**4/4000 - 7889751*x**3/10000 - 187738857*x**2/200000 - 1127138733*x/1000000 - 823543*log(x - 1/2)/1408 + log(x + 3/5)/859375","A",0
1487,1,49,0,0.155361," ","integrate((2+3*x)**6/(1-2*x)/(3+5*x),x)","- \frac{729 x^{5}}{50} - \frac{28431 x^{4}}{400} - \frac{159813 x^{3}}{1000} - \frac{4693491 x^{2}}{20000} - \frac{31289679 x}{100000} - \frac{117649 \log{\left(x - \frac{1}{2} \right)}}{704} + \frac{\log{\left(x + \frac{3}{5} \right)}}{171875}"," ",0,"-729*x**5/50 - 28431*x**4/400 - 159813*x**3/1000 - 4693491*x**2/20000 - 31289679*x/100000 - 117649*log(x - 1/2)/704 + log(x + 3/5)/171875","A",0
1488,1,42,0,0.147219," ","integrate((2+3*x)**5/(1-2*x)/(3+5*x),x)","- \frac{243 x^{4}}{40} - \frac{2619 x^{3}}{100} - \frac{107433 x^{2}}{2000} - \frac{848277 x}{10000} - \frac{16807 \log{\left(x - \frac{1}{2} \right)}}{352} + \frac{\log{\left(x + \frac{3}{5} \right)}}{34375}"," ",0,"-243*x**4/40 - 2619*x**3/100 - 107433*x**2/2000 - 848277*x/10000 - 16807*log(x - 1/2)/352 + log(x + 3/5)/34375","A",0
1489,1,36,0,0.146629," ","integrate((2+3*x)**4/(1-2*x)/(3+5*x),x)","- \frac{27 x^{3}}{10} - \frac{2079 x^{2}}{200} - \frac{21951 x}{1000} - \frac{2401 \log{\left(x - \frac{1}{2} \right)}}{176} + \frac{\log{\left(x + \frac{3}{5} \right)}}{6875}"," ",0,"-27*x**3/10 - 2079*x**2/200 - 21951*x/1000 - 2401*log(x - 1/2)/176 + log(x + 3/5)/6875","A",0
1490,1,29,0,0.133531," ","integrate((2+3*x)**3/(1-2*x)/(3+5*x),x)","- \frac{27 x^{2}}{20} - \frac{513 x}{100} - \frac{343 \log{\left(x - \frac{1}{2} \right)}}{88} + \frac{\log{\left(x + \frac{3}{5} \right)}}{1375}"," ",0,"-27*x**2/20 - 513*x/100 - 343*log(x - 1/2)/88 + log(x + 3/5)/1375","A",0
1491,1,22,0,0.130471," ","integrate((2+3*x)**2/(1-2*x)/(3+5*x),x)","- \frac{9 x}{10} - \frac{49 \log{\left(x - \frac{1}{2} \right)}}{44} + \frac{\log{\left(x + \frac{3}{5} \right)}}{275}"," ",0,"-9*x/10 - 49*log(x - 1/2)/44 + log(x + 3/5)/275","A",0
1492,1,17,0,0.117839," ","integrate((2+3*x)/(1-2*x)/(3+5*x),x)","- \frac{7 \log{\left(x - \frac{1}{2} \right)}}{22} + \frac{\log{\left(x + \frac{3}{5} \right)}}{55}"," ",0,"-7*log(x - 1/2)/22 + log(x + 3/5)/55","A",0
1493,1,15,0,0.106735," ","integrate(1/(1-2*x)/(3+5*x),x)","- \frac{\log{\left(x - \frac{1}{2} \right)}}{11} + \frac{\log{\left(x + \frac{3}{5} \right)}}{11}"," ",0,"-log(x - 1/2)/11 + log(x + 3/5)/11","A",0
1494,1,29,0,0.149919," ","integrate(1/(1-2*x)/(2+3*x)/(3+5*x),x)","- \frac{2 \log{\left(x - \frac{1}{2} \right)}}{77} + \frac{5 \log{\left(x + \frac{3}{5} \right)}}{11} - \frac{3 \log{\left(x + \frac{2}{3} \right)}}{7}"," ",0,"-2*log(x - 1/2)/77 + 5*log(x + 3/5)/11 - 3*log(x + 2/3)/7","A",0
1495,1,36,0,0.182280," ","integrate(1/(1-2*x)/(2+3*x)**2/(3+5*x),x)","- \frac{4 \log{\left(x - \frac{1}{2} \right)}}{539} + \frac{25 \log{\left(x + \frac{3}{5} \right)}}{11} - \frac{111 \log{\left(x + \frac{2}{3} \right)}}{49} + \frac{3}{21 x + 14}"," ",0,"-4*log(x - 1/2)/539 + 25*log(x + 3/5)/11 - 111*log(x + 2/3)/49 + 3/(21*x + 14)","A",0
1496,1,46,0,0.207368," ","integrate(1/(1-2*x)/(2+3*x)**3/(3+5*x),x)","- \frac{- 666 x - 465}{882 x^{2} + 1176 x + 392} - \frac{8 \log{\left(x - \frac{1}{2} \right)}}{3773} + \frac{125 \log{\left(x + \frac{3}{5} \right)}}{11} - \frac{3897 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(-666*x - 465)/(882*x**2 + 1176*x + 392) - 8*log(x - 1/2)/3773 + 125*log(x + 3/5)/11 - 3897*log(x + 2/3)/343","A",0
1497,1,56,0,0.226566," ","integrate(1/(1-2*x)/(2+3*x)**4/(3+5*x),x)","- \frac{- 70146 x^{2} - 95859 x - 32828}{18522 x^{3} + 37044 x^{2} + 24696 x + 5488} - \frac{16 \log{\left(x - \frac{1}{2} \right)}}{26411} + \frac{625 \log{\left(x + \frac{3}{5} \right)}}{11} - \frac{136419 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(-70146*x**2 - 95859*x - 32828)/(18522*x**3 + 37044*x**2 + 24696*x + 5488) - 16*log(x - 1/2)/26411 + 625*log(x + 3/5)/11 - 136419*log(x + 2/3)/2401","A",0
1498,1,66,0,0.239784," ","integrate(1/(1-2*x)/(2+3*x)**5/(3+5*x),x)","- \frac{- 14733252 x^{3} - 29957526 x^{2} - 20320788 x - 4599173}{777924 x^{4} + 2074464 x^{3} + 2074464 x^{2} + 921984 x + 153664} - \frac{32 \log{\left(x - \frac{1}{2} \right)}}{184877} + \frac{3125 \log{\left(x + \frac{3}{5} \right)}}{11} - \frac{4774713 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(-14733252*x**3 - 29957526*x**2 - 20320788*x - 4599173)/(777924*x**4 + 2074464*x**3 + 2074464*x**2 + 921984*x + 153664) - 32*log(x - 1/2)/184877 + 3125*log(x + 3/5)/11 - 4774713*log(x + 2/3)/16807","A",0
1499,1,76,0,0.256951," ","integrate(1/(1-2*x)/(2+3*x)**6/(3+5*x),x)","- \frac{- 7735035060 x^{4} - 20884592070 x^{3} - 21153881160 x^{2} - 9527072175 x - 1609804422}{81682020 x^{5} + 272273400 x^{4} + 363031200 x^{3} + 242020800 x^{2} + 80673600 x + 10756480} - \frac{64 \log{\left(x - \frac{1}{2} \right)}}{1294139} + \frac{15625 \log{\left(x + \frac{3}{5} \right)}}{11} - \frac{167115051 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(-7735035060*x**4 - 20884592070*x**3 - 21153881160*x**2 - 9527072175*x - 1609804422)/(81682020*x**5 + 272273400*x**4 + 363031200*x**3 + 242020800*x**2 + 80673600*x + 10756480) - 64*log(x - 1/2)/1294139 + 15625*log(x + 3/5)/11 - 167115051*log(x + 2/3)/117649","A",0
1500,1,87,0,0.278332," ","integrate(1/(1-2*x)/(2+3*x)**7/(3+5*x),x)","- \frac{- 812179147860 x^{5} - 2734336448910 x^{4} - 3683081977740 x^{3} - 2481116976315 x^{2} - 835926001992 x - 112686853098}{1715322420 x^{6} + 6861289680 x^{5} + 11435482800 x^{4} + 10164873600 x^{3} + 5082436800 x^{2} + 1355316480 x + 150590720} - \frac{128 \log{\left(x - \frac{1}{2} \right)}}{9058973} + \frac{78125 \log{\left(x + \frac{3}{5} \right)}}{11} - \frac{5849026977 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(-812179147860*x**5 - 2734336448910*x**4 - 3683081977740*x**3 - 2481116976315*x**2 - 835926001992*x - 112686853098)/(1715322420*x**6 + 6861289680*x**5 + 11435482800*x**4 + 10164873600*x**3 + 5082436800*x**2 + 1355316480*x + 150590720) - 128*log(x - 1/2)/9058973 + 78125*log(x + 3/5)/11 - 5849026977*log(x + 2/3)/823543","A",0
1501,1,65,0,0.175381," ","integrate((2+3*x)**8/(1-2*x)/(3+5*x)**2,x)","- \frac{2187 x^{6}}{100} - \frac{303993 x^{5}}{2500} - \frac{6194313 x^{4}}{20000} - \frac{24660207 x^{3}}{50000} - \frac{118543581 x^{2}}{200000} - \frac{3579885909 x}{5000000} - \frac{5764801 \log{\left(x - \frac{1}{2} \right)}}{15488} + \frac{266 \log{\left(x + \frac{3}{5} \right)}}{47265625} - \frac{1}{21484375 x + 12890625}"," ",0,"-2187*x**6/100 - 303993*x**5/2500 - 6194313*x**4/20000 - 24660207*x**3/50000 - 118543581*x**2/200000 - 3579885909*x/5000000 - 5764801*log(x - 1/2)/15488 + 266*log(x + 3/5)/47265625 - 1/(21484375*x + 12890625)","A",0
1502,1,58,0,0.170175," ","integrate((2+3*x)**7/(1-2*x)/(3+5*x)**2,x)","- \frac{2187 x^{5}}{250} - \frac{86751 x^{4}}{2000} - \frac{495477 x^{3}}{5000} - \frac{14750667 x^{2}}{100000} - \frac{19846971 x}{100000} - \frac{823543 \log{\left(x - \frac{1}{2} \right)}}{7744} + \frac{233 \log{\left(x + \frac{3}{5} \right)}}{9453125} - \frac{1}{4296875 x + 2578125}"," ",0,"-2187*x**5/250 - 86751*x**4/2000 - 495477*x**3/5000 - 14750667*x**2/100000 - 19846971*x/100000 - 823543*log(x - 1/2)/7744 + 233*log(x + 3/5)/9453125 - 1/(4296875*x + 2578125)","A",0
1503,1,51,0,0.163642," ","integrate((2+3*x)**6/(1-2*x)/(3+5*x)**2,x)","- \frac{729 x^{4}}{200} - \frac{8019 x^{3}}{500} - \frac{335097 x^{2}}{10000} - \frac{2682909 x}{50000} - \frac{117649 \log{\left(x - \frac{1}{2} \right)}}{3872} + \frac{8 \log{\left(x + \frac{3}{5} \right)}}{75625} - \frac{1}{859375 x + 515625}"," ",0,"-729*x**4/200 - 8019*x**3/500 - 335097*x**2/10000 - 2682909*x/50000 - 117649*log(x - 1/2)/3872 + 8*log(x + 3/5)/75625 - 1/(859375*x + 515625)","A",0
1504,1,44,0,0.160177," ","integrate((2+3*x)**5/(1-2*x)/(3+5*x)**2,x)","- \frac{81 x^{3}}{50} - \frac{6399 x^{2}}{1000} - \frac{69039 x}{5000} - \frac{16807 \log{\left(x - \frac{1}{2} \right)}}{1936} + \frac{167 \log{\left(x + \frac{3}{5} \right)}}{378125} - \frac{1}{171875 x + 103125}"," ",0,"-81*x**3/50 - 6399*x**2/1000 - 69039*x/5000 - 16807*log(x - 1/2)/1936 + 167*log(x + 3/5)/378125 - 1/(171875*x + 103125)","A",0
1505,1,37,0,0.155722," ","integrate((2+3*x)**4/(1-2*x)/(3+5*x)**2,x)","- \frac{81 x^{2}}{100} - \frac{1593 x}{500} - \frac{2401 \log{\left(x - \frac{1}{2} \right)}}{968} + \frac{134 \log{\left(x + \frac{3}{5} \right)}}{75625} - \frac{1}{34375 x + 20625}"," ",0,"-81*x**2/100 - 1593*x/500 - 2401*log(x - 1/2)/968 + 134*log(x + 3/5)/75625 - 1/(34375*x + 20625)","A",0
1506,1,31,0,0.152065," ","integrate((2+3*x)**3/(1-2*x)/(3+5*x)**2,x)","- \frac{27 x}{50} - \frac{343 \log{\left(x - \frac{1}{2} \right)}}{484} + \frac{101 \log{\left(x + \frac{3}{5} \right)}}{15125} - \frac{1}{6875 x + 4125}"," ",0,"-27*x/50 - 343*log(x - 1/2)/484 + 101*log(x + 3/5)/15125 - 1/(6875*x + 4125)","A",0
1507,1,26,0,0.146579," ","integrate((2+3*x)**2/(1-2*x)/(3+5*x)**2,x)","- \frac{49 \log{\left(x - \frac{1}{2} \right)}}{242} + \frac{68 \log{\left(x + \frac{3}{5} \right)}}{3025} - \frac{1}{1375 x + 825}"," ",0,"-49*log(x - 1/2)/242 + 68*log(x + 3/5)/3025 - 1/(1375*x + 825)","A",0
1508,1,26,0,0.125438," ","integrate((2+3*x)/(1-2*x)/(3+5*x)**2,x)","- \frac{7 \log{\left(x - \frac{1}{2} \right)}}{121} + \frac{7 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{1}{275 x + 165}"," ",0,"-7*log(x - 1/2)/121 + 7*log(x + 3/5)/121 - 1/(275*x + 165)","A",0
1509,1,26,0,0.127910," ","integrate(1/(1-2*x)/(3+5*x)**2,x)","- \frac{2 \log{\left(x - \frac{1}{2} \right)}}{121} + \frac{2 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{1}{55 x + 33}"," ",0,"-2*log(x - 1/2)/121 + 2*log(x + 3/5)/121 - 1/(55*x + 33)","A",0
1510,1,36,0,0.176327," ","integrate(1/(1-2*x)/(2+3*x)/(3+5*x)**2,x)","- \frac{4 \log{\left(x - \frac{1}{2} \right)}}{847} - \frac{155 \log{\left(x + \frac{3}{5} \right)}}{121} + \frac{9 \log{\left(x + \frac{2}{3} \right)}}{7} - \frac{5}{55 x + 33}"," ",0,"-4*log(x - 1/2)/847 - 155*log(x + 3/5)/121 + 9*log(x + 2/3)/7 - 5/(55*x + 33)","A",0
1511,1,44,0,0.202425," ","integrate(1/(1-2*x)/(2+3*x)**2/(3+5*x)**2,x)","- \frac{1020 x + 647}{1155 x^{2} + 1463 x + 462} - \frac{8 \log{\left(x - \frac{1}{2} \right)}}{5929} - \frac{1600 \log{\left(x + \frac{3}{5} \right)}}{121} + \frac{648 \log{\left(x + \frac{2}{3} \right)}}{49}"," ",0,"-(1020*x + 647)/(1155*x**2 + 1463*x + 462) - 8*log(x - 1/2)/5929 - 1600*log(x + 3/5)/121 + 648*log(x + 2/3)/49","A",0
1512,1,54,0,0.223623," ","integrate(1/(1-2*x)/(2+3*x)**3/(3+5*x)**2,x)","- \frac{324090 x^{2} + 421329 x + 136615}{48510 x^{3} + 93786 x^{2} + 60368 x + 12936} - \frac{16 \log{\left(x - \frac{1}{2} \right)}}{41503} - \frac{12125 \log{\left(x + \frac{3}{5} \right)}}{121} + \frac{34371 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(324090*x**2 + 421329*x + 136615)/(48510*x**3 + 93786*x**2 + 60368*x + 12936) - 16*log(x - 1/2)/41503 - 12125*log(x + 3/5)/121 + 34371*log(x + 2/3)/343","A",0
1513,1,65,0,0.242584," ","integrate(1/(1-2*x)/(2+3*x)**4/(3+5*x)**2,x)","- \frac{22801770 x^{3} + 44843517 x^{2} + 29372133 x + 6406511}{509355 x^{4} + 1324323 x^{3} + 1290366 x^{2} + 558404 x + 90552} - \frac{32 \log{\left(x - \frac{1}{2} \right)}}{290521} - \frac{81250 \log{\left(x + \frac{3}{5} \right)}}{121} + \frac{1612242 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(22801770*x**3 + 44843517*x**2 + 29372133*x + 6406511)/(509355*x**4 + 1324323*x**3 + 1290366*x**2 + 558404*x + 90552) - 32*log(x - 1/2)/290521 - 81250*log(x + 3/5)/121 + 1612242*log(x + 2/3)/2401","A",0
1514,1,75,0,0.257041," ","integrate(1/(1-2*x)/(2+3*x)**5/(3+5*x)**2,x)","- \frac{12007729980 x^{4} + 31620356478 x^{3} + 31211205714 x^{2} + 13685553417 x + 2249141207}{42785820 x^{5} + 139767012 x^{4} + 182552832 x^{3} + 119166432 x^{2} + 38876992 x + 5070912} - \frac{64 \log{\left(x - \frac{1}{2} \right)}}{2033647} - \frac{509375 \log{\left(x + \frac{3}{5} \right)}}{121} + \frac{70752609 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(12007729980*x**4 + 31620356478*x**3 + 31211205714*x**2 + 13685553417*x + 2249141207)/(42785820*x**5 + 139767012*x**4 + 182552832*x**3 + 119166432*x**2 + 38876992*x + 5070912) - 64*log(x - 1/2)/2033647 - 509375*log(x + 3/5)/121 + 70752609*log(x + 2/3)/16807","A",0
1515,1,85,0,0.280571," ","integrate(1/(1-2*x)/(2+3*x)**6/(3+5*x)**2,x)","- \frac{1895084756100 x^{5} + 6253779701610 x^{4} + 8252743193370 x^{3} + 5443759671885 x^{2} + 1794885176145 x + 236642515057}{1123127775 x^{6} + 4417635915 x^{5} + 7237934550 x^{4} + 6322793400 x^{3} + 3105933600 x^{2} + 813458800 x + 88740960} - \frac{128 \log{\left(x - \frac{1}{2} \right)}}{14235529} - \frac{3062500 \log{\left(x + \frac{3}{5} \right)}}{121} + \frac{2977686468 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(1895084756100*x**5 + 6253779701610*x**4 + 8252743193370*x**3 + 5443759671885*x**2 + 1794885176145*x + 236642515057)/(1123127775*x**6 + 4417635915*x**5 + 7237934550*x**4 + 6322793400*x**3 + 3105933600*x**2 + 813458800*x + 88740960) - 128*log(x - 1/2)/14235529 - 3062500*log(x + 3/5)/121 + 2977686468*log(x + 2/3)/117649","A",0
1516,1,66,0,0.194000," ","integrate((2+3*x)**8/(1-2*x)/(3+5*x)**3,x)","- \frac{6561 x^{5}}{1250} - \frac{264627 x^{4}}{10000} - \frac{1535517 x^{3}}{25000} - \frac{9268263 x^{2}}{100000} - \frac{62934003 x}{500000} - \frac{2660 x + 1607}{2363281250 x^{2} + 2835937500 x + 850781250} - \frac{5764801 \log{\left(x - \frac{1}{2} \right)}}{85184} + \frac{31024 \log{\left(x + \frac{3}{5} \right)}}{519921875}"," ",0,"-6561*x**5/1250 - 264627*x**4/10000 - 1535517*x**3/25000 - 9268263*x**2/100000 - 62934003*x/500000 - (2660*x + 1607)/(2363281250*x**2 + 2835937500*x + 850781250) - 5764801*log(x - 1/2)/85184 + 31024*log(x + 3/5)/519921875","A",0
1517,1,60,0,0.187616," ","integrate((2+3*x)**7/(1-2*x)/(3+5*x)**3,x)","- \frac{2187 x^{4}}{1000} - \frac{24543 x^{3}}{2500} - \frac{1044657 x^{2}}{50000} - \frac{339309 x}{10000} - \frac{2330 x + 1409}{472656250 x^{2} + 567187500 x + 170156250} - \frac{823543 \log{\left(x - \frac{1}{2} \right)}}{42592} + \frac{4667 \log{\left(x + \frac{3}{5} \right)}}{20796875}"," ",0,"-2187*x**4/1000 - 24543*x**3/2500 - 1044657*x**2/50000 - 339309*x/10000 - (2330*x + 1409)/(472656250*x**2 + 567187500*x + 170156250) - 823543*log(x - 1/2)/42592 + 4667*log(x + 3/5)/20796875","A",0
1518,1,53,0,0.184362," ","integrate((2+3*x)**6/(1-2*x)/(3+5*x)**3,x)","- \frac{243 x^{3}}{250} - \frac{19683 x^{2}}{5000} - \frac{216999 x}{25000} - \frac{2000 x + 1211}{94531250 x^{2} + 113437500 x + 34031250} - \frac{117649 \log{\left(x - \frac{1}{2} \right)}}{21296} + \frac{3347 \log{\left(x + \frac{3}{5} \right)}}{4159375}"," ",0,"-243*x**3/250 - 19683*x**2/5000 - 216999*x/25000 - (2000*x + 1211)/(94531250*x**2 + 113437500*x + 34031250) - 117649*log(x - 1/2)/21296 + 3347*log(x + 3/5)/4159375","A",0
1519,1,46,0,0.179122," ","integrate((2+3*x)**5/(1-2*x)/(3+5*x)**3,x)","- \frac{243 x^{2}}{500} - \frac{4941 x}{2500} - \frac{1670 x + 1013}{18906250 x^{2} + 22687500 x + 6806250} - \frac{16807 \log{\left(x - \frac{1}{2} \right)}}{10648} + \frac{11224 \log{\left(x + \frac{3}{5} \right)}}{4159375}"," ",0,"-243*x**2/500 - 4941*x/2500 - (1670*x + 1013)/(18906250*x**2 + 22687500*x + 6806250) - 16807*log(x - 1/2)/10648 + 11224*log(x + 3/5)/4159375","A",0
1520,1,39,0,0.179672," ","integrate((2+3*x)**4/(1-2*x)/(3+5*x)**3,x)","- \frac{81 x}{250} - \frac{268 x + 163}{756250 x^{2} + 907500 x + 272250} - \frac{2401 \log{\left(x - \frac{1}{2} \right)}}{5324} + \frac{6802 \log{\left(x + \frac{3}{5} \right)}}{831875}"," ",0,"-81*x/250 - (268*x + 163)/(756250*x**2 + 907500*x + 272250) - 2401*log(x - 1/2)/5324 + 6802*log(x + 3/5)/831875","A",0
1521,1,34,0,0.171888," ","integrate((2+3*x)**3/(1-2*x)/(3+5*x)**3,x)","- \frac{1010 x + 617}{756250 x^{2} + 907500 x + 272250} - \frac{343 \log{\left(x - \frac{1}{2} \right)}}{2662} + \frac{3469 \log{\left(x + \frac{3}{5} \right)}}{166375}"," ",0,"-(1010*x + 617)/(756250*x**2 + 907500*x + 272250) - 343*log(x - 1/2)/2662 + 3469*log(x + 3/5)/166375","A",0
1522,1,34,0,0.153377," ","integrate((2+3*x)**2/(1-2*x)/(3+5*x)**3,x)","- \frac{680 x + 419}{151250 x^{2} + 181500 x + 54450} - \frac{49 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{49 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"-(680*x + 419)/(151250*x**2 + 181500*x + 54450) - 49*log(x - 1/2)/1331 + 49*log(x + 3/5)/1331","A",0
1523,1,34,0,0.145511," ","integrate((2+3*x)/(1-2*x)/(3+5*x)**3,x)","- \frac{350 x + 221}{30250 x^{2} + 36300 x + 10890} - \frac{14 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{14 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"-(350*x + 221)/(30250*x**2 + 36300*x + 10890) - 14*log(x - 1/2)/1331 + 14*log(x + 3/5)/1331","A",0
1524,1,34,0,0.150031," ","integrate(1/(1-2*x)/(3+5*x)**3,x)","- \frac{20 x + 23}{6050 x^{2} + 7260 x + 2178} - \frac{4 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{4 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"-(20*x + 23)/(6050*x**2 + 7260*x + 2178) - 4*log(x - 1/2)/1331 + 4*log(x + 3/5)/1331","A",0
1525,1,46,0,0.202022," ","integrate(1/(1-2*x)/(2+3*x)/(3+5*x)**3,x)","- \frac{- 1550 x - 875}{6050 x^{2} + 7260 x + 2178} - \frac{8 \log{\left(x - \frac{1}{2} \right)}}{9317} + \frac{5135 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{27 \log{\left(x + \frac{2}{3} \right)}}{7}"," ",0,"-(-1550*x - 875)/(6050*x**2 + 7260*x + 2178) - 8*log(x - 1/2)/9317 + 5135*log(x + 3/5)/1331 - 27*log(x + 2/3)/7","A",0
1526,1,56,0,0.223892," ","integrate(1/(1-2*x)/(2+3*x)**2/(3+5*x)**3,x)","- \frac{- 499350 x^{2} - 615845 x - 189356}{127050 x^{3} + 237160 x^{2} + 147378 x + 30492} - \frac{16 \log{\left(x - \frac{1}{2} \right)}}{65219} + \frac{78475 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{2889 \log{\left(x + \frac{2}{3} \right)}}{49}"," ",0,"-(-499350*x**2 - 615845*x - 189356)/(127050*x**3 + 237160*x**2 + 147378*x + 30492) - 16*log(x - 1/2)/65219 + 78475*log(x + 3/5)/1331 - 2889*log(x + 2/3)/49","A",0
1527,1,66,0,0.249666," ","integrate(1/(1-2*x)/(2+3*x)**3/(3+5*x)**3,x)","- \frac{- 105906600 x^{3} - 201222420 x^{2} - 127244576 x - 26779805}{2668050 x^{4} + 6759060 x^{3} + 6415178 x^{2} + 2703624 x + 426888} - \frac{32 \log{\left(x - \frac{1}{2} \right)}}{456533} + \frac{792500 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{204228 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(-105906600*x**3 - 201222420*x**2 - 127244576*x - 26779805)/(2668050*x**4 + 6759060*x**3 + 6415178*x**2 + 2703624*x + 426888) - 32*log(x - 1/2)/456533 + 792500*log(x + 3/5)/1331 - 204228*log(x + 2/3)/343","A",0
1528,1,76,0,0.264402," ","integrate(1/(1-2*x)/(2+3*x)**4/(3+5*x)**3,x)","- \frac{- 18644777100 x^{4} - 47854927170 x^{3} - 46018070136 x^{2} - 19648830809 x - 3143075528}{56029050 x^{5} + 179292960 x^{4} + 229345578 x^{3} + 146588596 x^{2} + 46815384 x + 5976432} - \frac{64 \log{\left(x - \frac{1}{2} \right)}}{3195731} + \frac{6643750 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{11984706 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(-18644777100*x**4 - 47854927170*x**3 - 46018070136*x**2 - 19648830809*x - 3143075528)/(56029050*x**5 + 179292960*x**4 + 229345578*x**3 + 146588596*x**2 + 46815384*x + 5976432) - 64*log(x - 1/2)/3195731 + 6643750*log(x + 3/5)/1331 - 11984706*log(x + 2/3)/2401","A",0
1529,1,87,0,0.281676," ","integrate(1/(1-2*x)/(2+3*x)**5/(3+5*x)**3,x)","- \frac{- 5896678637700 x^{5} - 19065927586590 x^{4} - 24643748766492 x^{3} - 15916809968421 x^{2} - 5136860261578 x - 662695553413}{2353220100 x^{6} + 9099117720 x^{5} + 14652717156 x^{4} + 12578397216 x^{3} + 6070726816 x^{2} + 1561840896 x + 167340096} - \frac{128 \log{\left(x - \frac{1}{2} \right)}}{22370117} + \frac{50028125 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{631722537 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(-5896678637700*x**5 - 19065927586590*x**4 - 24643748766492*x**3 - 15916809968421*x**2 - 5136860261578*x - 662695553413)/(2353220100*x**6 + 9099117720*x**5 + 14652717156*x**4 + 12578397216*x**3 + 6070726816*x**2 + 1561840896*x + 167340096) - 128*log(x - 1/2)/22370117 + 50028125*log(x + 3/5)/1331 - 631722537*log(x + 2/3)/16807","A",0
1530,1,214,0,1.329886," ","integrate((d*x+c)**4/(-b*x+a)/(b*x+a),x)","- x \left(\frac{a^{2} d^{4}}{b^{4}} + \frac{6 c^{2} d^{2}}{b^{2}}\right) - \frac{2 c d^{3} x^{2}}{b^{2}} - \frac{d^{4} x^{3}}{3 b^{2}} + \frac{\left(a d - b c\right)^{4} \log{\left(x + \frac{4 a^{4} c d^{3} + 4 a^{2} b^{2} c^{3} d + \frac{a \left(a d - b c\right)^{4}}{b}}{a^{4} d^{4} + 6 a^{2} b^{2} c^{2} d^{2} + b^{4} c^{4}} \right)}}{2 a b^{5}} - \frac{\left(a d + b c\right)^{4} \log{\left(x + \frac{4 a^{4} c d^{3} + 4 a^{2} b^{2} c^{3} d - \frac{a \left(a d + b c\right)^{4}}{b}}{a^{4} d^{4} + 6 a^{2} b^{2} c^{2} d^{2} + b^{4} c^{4}} \right)}}{2 a b^{5}}"," ",0,"-x*(a**2*d**4/b**4 + 6*c**2*d**2/b**2) - 2*c*d**3*x**2/b**2 - d**4*x**3/(3*b**2) + (a*d - b*c)**4*log(x + (4*a**4*c*d**3 + 4*a**2*b**2*c**3*d + a*(a*d - b*c)**4/b)/(a**4*d**4 + 6*a**2*b**2*c**2*d**2 + b**4*c**4))/(2*a*b**5) - (a*d + b*c)**4*log(x + (4*a**4*c*d**3 + 4*a**2*b**2*c**3*d - a*(a*d + b*c)**4/b)/(a**4*d**4 + 6*a**2*b**2*c**2*d**2 + b**4*c**4))/(2*a*b**5)","B",0
1531,1,163,0,0.966997," ","integrate((d*x+c)**3/(-b*x+a)/(b*x+a),x)","- \frac{3 c d^{2} x}{b^{2}} - \frac{d^{3} x^{2}}{2 b^{2}} - \frac{\left(a d - b c\right)^{3} \log{\left(x + \frac{a^{4} d^{3} + 3 a^{2} b^{2} c^{2} d - a \left(a d - b c\right)^{3}}{3 a^{2} b^{2} c d^{2} + b^{4} c^{3}} \right)}}{2 a b^{4}} - \frac{\left(a d + b c\right)^{3} \log{\left(x + \frac{a^{4} d^{3} + 3 a^{2} b^{2} c^{2} d - a \left(a d + b c\right)^{3}}{3 a^{2} b^{2} c d^{2} + b^{4} c^{3}} \right)}}{2 a b^{4}}"," ",0,"-3*c*d**2*x/b**2 - d**3*x**2/(2*b**2) - (a*d - b*c)**3*log(x + (a**4*d**3 + 3*a**2*b**2*c**2*d - a*(a*d - b*c)**3)/(3*a**2*b**2*c*d**2 + b**4*c**3))/(2*a*b**4) - (a*d + b*c)**3*log(x + (a**4*d**3 + 3*a**2*b**2*c**2*d - a*(a*d + b*c)**3)/(3*a**2*b**2*c*d**2 + b**4*c**3))/(2*a*b**4)","B",0
1532,1,112,0,0.586147," ","integrate((d*x+c)**2/(-b*x+a)/(b*x+a),x)","- \frac{d^{2} x}{b^{2}} + \frac{\left(a d - b c\right)^{2} \log{\left(x + \frac{2 a^{2} c d + \frac{a \left(a d - b c\right)^{2}}{b}}{a^{2} d^{2} + b^{2} c^{2}} \right)}}{2 a b^{3}} - \frac{\left(a d + b c\right)^{2} \log{\left(x + \frac{2 a^{2} c d - \frac{a \left(a d + b c\right)^{2}}{b}}{a^{2} d^{2} + b^{2} c^{2}} \right)}}{2 a b^{3}}"," ",0,"-d**2*x/b**2 + (a*d - b*c)**2*log(x + (2*a**2*c*d + a*(a*d - b*c)**2/b)/(a**2*d**2 + b**2*c**2))/(2*a*b**3) - (a*d + b*c)**2*log(x + (2*a**2*c*d - a*(a*d + b*c)**2/b)/(a**2*d**2 + b**2*c**2))/(2*a*b**3)","B",0
1533,1,71,0,0.317418," ","integrate((d*x+c)/(-b*x+a)/(b*x+a),x)","- \frac{\left(a d - b c\right) \log{\left(x + \frac{a^{2} d - a \left(a d - b c\right)}{b^{2} c} \right)}}{2 a b^{2}} - \frac{\left(a d + b c\right) \log{\left(x + \frac{a^{2} d - a \left(a d + b c\right)}{b^{2} c} \right)}}{2 a b^{2}}"," ",0,"-(a*d - b*c)*log(x + (a**2*d - a*(a*d - b*c))/(b**2*c))/(2*a*b**2) - (a*d + b*c)*log(x + (a**2*d - a*(a*d + b*c))/(b**2*c))/(2*a*b**2)","A",0
1534,1,20,0,0.148581," ","integrate(1/(-b*x+a)/(b*x+a),x)","- \frac{\frac{\log{\left(- \frac{a}{b} + x \right)}}{2} - \frac{\log{\left(\frac{a}{b} + x \right)}}{2}}{a b}"," ",0,"-(log(-a/b + x)/2 - log(a/b + x)/2)/(a*b)","B",0
1535,-1,0,0,0.000000," ","integrate(1/(-b*x+a)/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1536,-1,0,0,0.000000," ","integrate(1/(-b*x+a)/(b*x+a)/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1537,-1,0,0,0.000000," ","integrate(1/(-b*x+a)/(b*x+a)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1538,1,68,0,0.130432," ","integrate((2+3*x)**8*(3+5*x)/(1-2*x)**2,x)","\frac{32805 x^{8}}{32} + \frac{56862 x^{7}}{7} + \frac{976617 x^{6}}{32} + \frac{5859459 x^{5}}{80} + \frac{32991057 x^{4}}{256} + \frac{5892813 x^{3}}{32} + \frac{122887143 x^{2}}{512} + \frac{91609881 x}{256} + \frac{246239357 \log{\left(2 x - 1 \right)}}{1024} - \frac{63412811}{2048 x - 1024}"," ",0,"32805*x**8/32 + 56862*x**7/7 + 976617*x**6/32 + 5859459*x**5/80 + 32991057*x**4/256 + 5892813*x**3/32 + 122887143*x**2/512 + 91609881*x/256 + 246239357*log(2*x - 1)/1024 - 63412811/(2048*x - 1024)","A",0
1539,1,61,0,0.123665," ","integrate((2+3*x)**7*(3+5*x)/(1-2*x)**2,x)","\frac{10935 x^{7}}{28} + \frac{11421 x^{6}}{4} + \frac{793881 x^{5}}{80} + \frac{1423899 x^{4}}{64} + \frac{2399985 x^{3}}{64} + \frac{873207 x^{2}}{16} + \frac{22333965 x}{256} + \frac{15647317 \log{\left(2 x - 1 \right)}}{256} - \frac{9058973}{1024 x - 512}"," ",0,"10935*x**7/28 + 11421*x**6/4 + 793881*x**5/80 + 1423899*x**4/64 + 2399985*x**3/64 + 873207*x**2/16 + 22333965*x/256 + 15647317*log(2*x - 1)/256 - 9058973/(1024*x - 512)","A",0
1540,1,54,0,0.118874," ","integrate((2+3*x)**6*(3+5*x)/(1-2*x)**2,x)","\frac{1215 x^{6}}{8} + \frac{5103 x^{5}}{5} + \frac{210195 x^{4}}{64} + \frac{111501 x^{3}}{16} + \frac{1507977 x^{2}}{128} + \frac{661617 x}{32} + \frac{3916031 \log{\left(2 x - 1 \right)}}{256} - \frac{1294139}{512 x - 256}"," ",0,"1215*x**6/8 + 5103*x**5/5 + 210195*x**4/64 + 111501*x**3/16 + 1507977*x**2/128 + 661617*x/32 + 3916031*log(2*x - 1)/256 - 1294139/(512*x - 256)","A",0
1541,1,48,0,0.119608," ","integrate((2+3*x)**5*(3+5*x)/(1-2*x)**2,x)","\frac{243 x^{5}}{4} + \frac{2997 x^{4}}{8} + \frac{18027 x^{3}}{16} + \frac{75447 x^{2}}{32} + \frac{301467 x}{64} + \frac{60025 \log{\left(2 x - 1 \right)}}{16} - \frac{184877}{256 x - 128}"," ",0,"243*x**5/4 + 2997*x**4/8 + 18027*x**3/16 + 75447*x**2/32 + 301467*x/64 + 60025*log(2*x - 1)/16 - 184877/(256*x - 128)","A",0
1542,1,39,0,0.111324," ","integrate((2+3*x)**4*(3+5*x)/(1-2*x)**2,x)","\frac{405 x^{4}}{16} + 144 x^{3} + \frac{13419 x^{2}}{32} + \frac{16203 x}{16} + \frac{57281 \log{\left(2 x - 1 \right)}}{64} - \frac{26411}{128 x - 64}"," ",0,"405*x**4/16 + 144*x**3 + 13419*x**2/32 + 16203*x/16 + 57281*log(2*x - 1)/64 - 26411/(128*x - 64)","A",0
1543,1,34,0,0.108071," ","integrate((2+3*x)**3*(3+5*x)/(1-2*x)**2,x)","\frac{45 x^{3}}{4} + \frac{243 x^{2}}{4} + \frac{3177 x}{16} + \frac{3283 \log{\left(2 x - 1 \right)}}{16} - \frac{3773}{64 x - 32}"," ",0,"45*x**3/4 + 243*x**2/4 + 3177*x/16 + 3283*log(2*x - 1)/16 - 3773/(64*x - 32)","A",0
1544,1,26,0,0.103509," ","integrate((2+3*x)**2*(3+5*x)/(1-2*x)**2,x)","\frac{45 x^{2}}{8} + 33 x + \frac{707 \log{\left(2 x - 1 \right)}}{16} - \frac{539}{32 x - 16}"," ",0,"45*x**2/8 + 33*x + 707*log(2*x - 1)/16 - 539/(32*x - 16)","A",0
1545,1,20,0,0.098525," ","integrate((2+3*x)*(3+5*x)/(1-2*x)**2,x)","\frac{15 x}{4} + \frac{17 \log{\left(2 x - 1 \right)}}{2} - \frac{77}{16 x - 8}"," ",0,"15*x/4 + 17*log(2*x - 1)/2 - 77/(16*x - 8)","A",0
1546,1,15,0,0.091868," ","integrate((3+5*x)/(1-2*x)**2,x)","\frac{5 \log{\left(2 x - 1 \right)}}{4} - \frac{11}{8 x - 4}"," ",0,"5*log(2*x - 1)/4 - 11/(8*x - 4)","A",0
1547,1,22,0,0.117838," ","integrate((3+5*x)/(1-2*x)**2/(2+3*x),x)","\frac{\log{\left(x - \frac{1}{2} \right)}}{49} - \frac{\log{\left(x + \frac{2}{3} \right)}}{49} - \frac{11}{28 x - 14}"," ",0,"log(x - 1/2)/49 - log(x + 2/3)/49 - 11/(28*x - 14)","A",0
1548,1,36,0,0.133507," ","integrate((3+5*x)/(1-2*x)**2/(2+3*x)**2,x)","\frac{- 31 x - 23}{294 x^{2} + 49 x - 98} - \frac{31 \log{\left(x - \frac{1}{2} \right)}}{343} + \frac{31 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"(-31*x - 23)/(294*x**2 + 49*x - 98) - 31*log(x - 1/2)/343 + 31*log(x + 2/3)/343","A",0
1549,1,46,0,0.150948," ","integrate((3+5*x)/(1-2*x)**2/(2+3*x)**3,x)","\frac{- 768 x^{2} - 576 x - 59}{12348 x^{3} + 10290 x^{2} - 2744 x - 2744} - \frac{128 \log{\left(x - \frac{1}{2} \right)}}{2401} + \frac{128 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"(-768*x**2 - 576*x - 59)/(12348*x**3 + 10290*x**2 - 2744*x - 2744) - 128*log(x - 1/2)/2401 + 128*log(x + 2/3)/2401","A",0
1550,1,54,0,0.163988," ","integrate((3+5*x)/(1-2*x)**2/(2+3*x)**4,x)","\frac{- 20952 x^{3} - 29682 x^{2} - 6887 x + 2164}{777924 x^{4} + 1166886 x^{3} + 259308 x^{2} - 288120 x - 115248} - \frac{388 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{388 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"(-20952*x**3 - 29682*x**2 - 6887*x + 2164)/(777924*x**4 + 1166886*x**3 + 259308*x**2 - 288120*x - 115248) - 388*log(x - 1/2)/16807 + 388*log(x + 2/3)/16807","A",0
1551,1,65,0,0.178461," ","integrate((3+5*x)/(1-2*x)**2/(2+3*x)**5,x)","\frac{- 336960 x^{4} - 702000 x^{3} - 429000 x^{2} + 9230 x + 52979}{32672808 x^{5} + 70791084 x^{4} + 43563744 x^{3} - 4840416 x^{2} - 12907776 x - 3226944} - \frac{1040 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{1040 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"(-336960*x**4 - 702000*x**3 - 429000*x**2 + 9230*x + 52979)/(32672808*x**5 + 70791084*x**4 + 43563744*x**3 - 4840416*x**2 - 12907776*x - 3226944) - 1040*log(x - 1/2)/117649 + 1040*log(x + 2/3)/117649","A",0
1552,1,75,0,0.192936," ","integrate((3+5*x)/(1-2*x)**2/(2+3*x)**6,x)","\frac{- 12674880 x^{5} - 34855920 x^{4} - 33741000 x^{3} - 10410810 x^{2} + 3488689 x + 2104258}{3430644840 x^{6} + 9720160380 x^{5} + 9529569000 x^{4} + 2541218400 x^{3} - 1694145600 x^{2} - 1242373440 x - 225886080} - \frac{2608 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{2608 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"(-12674880*x**5 - 34855920*x**4 - 33741000*x**3 - 10410810*x**2 + 3488689*x + 2104258)/(3430644840*x**6 + 9720160380*x**5 + 9529569000*x**4 + 2541218400*x**3 - 1694145600*x**2 - 1242373440*x - 225886080) - 2608*log(x - 1/2)/823543 + 2608*log(x + 2/3)/823543","A",0
1553,1,80,0,0.205150," ","integrate((3+5*x)/(1-2*x)**2/(2+3*x)**7,x)","\frac{- 311040 x^{6} - 1062720 x^{5} - 1398240 x^{4} - 807480 x^{3} - 84708 x^{2} + 132772 x + 49131}{245046060 x^{7} + 857661210 x^{6} + 1143548280 x^{5} + 635304600 x^{4} - 169414560 x^{2} - 75295360 x - 10756480} - \frac{128 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{128 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"(-311040*x**6 - 1062720*x**5 - 1398240*x**4 - 807480*x**3 - 84708*x**2 + 132772*x + 49131)/(245046060*x**7 + 857661210*x**6 + 1143548280*x**5 + 635304600*x**4 - 169414560*x**2 - 75295360*x - 10756480) - 128*log(x - 1/2)/117649 + 128*log(x + 2/3)/117649","A",0
1554,1,73,0,0.133545," ","integrate((2+3*x)**8*(3+5*x)**2/(1-2*x)**2,x)","\frac{18225 x^{9}}{4} + \frac{1235655 x^{8}}{32} + \frac{17378631 x^{7}}{112} + 396738 x^{6} + \frac{235268793 x^{5}}{320} + \frac{275757561 x^{4}}{256} + \frac{346239417 x^{3}}{256} + \frac{413355417 x^{2}}{256} + \frac{2330515357 x}{1024} + \frac{1512848491 \log{\left(2 x - 1 \right)}}{1024} - \frac{697540921}{4096 x - 2048}"," ",0,"18225*x**9/4 + 1235655*x**8/32 + 17378631*x**7/112 + 396738*x**6 + 235268793*x**5/320 + 275757561*x**4/256 + 346239417*x**3/256 + 413355417*x**2/256 + 2330515357*x/1024 + 1512848491*log(2*x - 1)/1024 - 697540921/(4096*x - 2048)","A",0
1555,1,68,0,0.128472," ","integrate((2+3*x)**7*(3+5*x)**2/(1-2*x)**2,x)","\frac{54675 x^{8}}{32} + \frac{375435 x^{7}}{28} + \frac{1597239 x^{6}}{32} + \frac{4750569 x^{5}}{40} + \frac{53086563 x^{4}}{256} + \frac{18842715 x^{3}}{64} + \frac{195497697 x^{2}}{512} + \frac{9077405 x}{16} + \frac{389535839 \log{\left(2 x - 1 \right)}}{1024} - \frac{99648703}{2048 x - 1024}"," ",0,"54675*x**8/32 + 375435*x**7/28 + 1597239*x**6/32 + 4750569*x**5/40 + 53086563*x**4/256 + 18842715*x**3/64 + 195497697*x**2/512 + 9077405*x/16 + 389535839*log(2*x - 1)/1024 - 99648703/(2048*x - 1024)","A",0
1556,1,61,0,0.125636," ","integrate((2+3*x)**6*(3+5*x)**2/(1-2*x)**2,x)","\frac{18225 x^{7}}{28} + \frac{37665 x^{6}}{8} + \frac{1295919 x^{5}}{80} + \frac{575775 x^{4}}{16} + \frac{3851307 x^{3}}{64} + \frac{11140101 x^{2}}{128} + \frac{35458963 x}{256} + \frac{12386759 \log{\left(2 x - 1 \right)}}{128} - \frac{14235529}{1024 x - 512}"," ",0,"18225*x**7/28 + 37665*x**6/8 + 1295919*x**5/80 + 575775*x**4/16 + 3851307*x**3/64 + 11140101*x**2/128 + 35458963*x/256 + 12386759*log(2*x - 1)/128 - 14235529/(1024*x - 512)","A",0
1557,1,54,0,0.122902," ","integrate((2+3*x)**5*(3+5*x)**2/(1-2*x)**2,x)","\frac{2025 x^{6}}{8} + \frac{6723 x^{5}}{4} + \frac{342333 x^{4}}{64} + \frac{89913 x^{3}}{8} + \frac{2412699 x^{2}}{128} + \frac{2104901 x}{64} + \frac{6206585 \log{\left(2 x - 1 \right)}}{256} - \frac{2033647}{512 x - 256}"," ",0,"2025*x**6/8 + 6723*x**5/4 + 342333*x**4/64 + 89913*x**3/8 + 2412699*x**2/128 + 2104901*x/64 + 6206585*log(2*x - 1)/256 - 2033647/(512*x - 256)","A",0
1558,1,48,0,0.116923," ","integrate((2+3*x)**4*(3+5*x)**2/(1-2*x)**2,x)","\frac{405 x^{5}}{4} + \frac{9855 x^{4}}{16} + \frac{29277 x^{3}}{16} + \frac{15159 x^{2}}{4} + \frac{480841 x}{64} + \frac{381073 \log{\left(2 x - 1 \right)}}{64} - \frac{290521}{256 x - 128}"," ",0,"405*x**5/4 + 9855*x**4/16 + 29277*x**3/16 + 15159*x**2/4 + 480841*x/64 + 381073*log(2*x - 1)/64 - 290521/(256*x - 128)","A",0
1559,1,41,0,0.113663," ","integrate((2+3*x)**3*(3+5*x)**2/(1-2*x)**2,x)","\frac{675 x^{4}}{16} + \frac{945 x^{3}}{4} + \frac{21717 x^{2}}{32} + \frac{12973 x}{8} + \frac{91091 \log{\left(2 x - 1 \right)}}{64} - \frac{41503}{128 x - 64}"," ",0,"675*x**4/16 + 945*x**3/4 + 21717*x**2/32 + 12973*x/8 + 91091*log(2*x - 1)/64 - 41503/(128*x - 64)","A",0
1560,1,34,0,0.109417," ","integrate((2+3*x)**2*(3+5*x)**2/(1-2*x)**2,x)","\frac{75 x^{3}}{4} + \frac{795 x^{2}}{8} + \frac{5119 x}{16} + \frac{1309 \log{\left(2 x - 1 \right)}}{4} - \frac{5929}{64 x - 32}"," ",0,"75*x**3/4 + 795*x**2/8 + 5119*x/16 + 1309*log(2*x - 1)/4 - 5929/(64*x - 32)","A",0
1561,1,27,0,0.104024," ","integrate((2+3*x)*(3+5*x)**2/(1-2*x)**2,x)","\frac{75 x^{2}}{8} + \frac{215 x}{4} + \frac{1133 \log{\left(2 x - 1 \right)}}{16} - \frac{847}{32 x - 16}"," ",0,"75*x**2/8 + 215*x/4 + 1133*log(2*x - 1)/16 - 847/(32*x - 16)","A",0
1562,1,20,0,0.096538," ","integrate((3+5*x)**2/(1-2*x)**2,x)","\frac{25 x}{4} + \frac{55 \log{\left(2 x - 1 \right)}}{4} - \frac{121}{16 x - 8}"," ",0,"25*x/4 + 55*log(2*x - 1)/4 - 121/(16*x - 8)","A",0
1563,1,24,0,0.138928," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x),x)","\frac{407 \log{\left(x - \frac{1}{2} \right)}}{196} + \frac{\log{\left(x + \frac{2}{3} \right)}}{147} - \frac{121}{56 x - 28}"," ",0,"407*log(x - 1/2)/196 + log(x + 2/3)/147 - 121/(56*x - 28)","A",0
1564,1,36,0,0.141855," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x)**2,x)","\frac{- 1093 x - 724}{1764 x^{2} + 294 x - 588} + \frac{22 \log{\left(x - \frac{1}{2} \right)}}{343} - \frac{22 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"(-1093*x - 724)/(1764*x**2 + 294*x - 588) + 22*log(x - 1/2)/343 - 22*log(x + 2/3)/343","A",0
1565,1,46,0,0.157916," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x)**3,x)","\frac{- 5742 x^{2} - 8594 x - 3161}{37044 x^{3} + 30870 x^{2} - 8232 x - 8232} - \frac{319 \log{\left(x - \frac{1}{2} \right)}}{2401} + \frac{319 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"(-5742*x**2 - 8594*x - 3161)/(37044*x**3 + 30870*x**2 - 8232*x - 8232) - 319*log(x - 1/2)/2401 + 319*log(x + 2/3)/2401","A",0
1566,1,56,0,0.171449," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x)**4,x)","\frac{- 110484 x^{3} - 156519 x^{2} - 66329 x - 7277}{1166886 x^{4} + 1750329 x^{3} + 388962 x^{2} - 432180 x - 172872} - \frac{1364 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{1364 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"(-110484*x**3 - 156519*x**2 - 66329*x - 7277)/(1166886*x**4 + 1750329*x**3 + 388962*x**2 - 432180*x - 172872) - 1364*log(x - 1/2)/16807 + 1364*log(x + 2/3)/16807","A",0
1567,1,65,0,0.188605," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x)**5,x)","\frac{- 1354320 x^{4} - 2821500 x^{3} - 1724250 x^{2} - 172990 x + 83327}{32672808 x^{5} + 70791084 x^{4} + 43563744 x^{3} - 4840416 x^{2} - 12907776 x - 3226944} - \frac{4180 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{4180 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"(-1354320*x**4 - 2821500*x**3 - 1724250*x**2 - 172990*x + 83327)/(32672808*x**5 + 70791084*x**4 + 43563744*x**3 - 4840416*x**2 - 12907776*x - 3226944) - 4180*log(x - 1/2)/117649 + 4180*log(x + 2/3)/117649","A",0
1568,1,75,0,0.201100," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x)**6,x)","\frac{- 9123840 x^{5} - 25090560 x^{4} - 24288000 x^{3} - 7494080 x^{2} + 1530877 x + 913244}{571774140 x^{6} + 1620026730 x^{5} + 1588261500 x^{4} + 423536400 x^{3} - 282357600 x^{2} - 207062240 x - 37647680} - \frac{11264 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{11264 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"(-9123840*x**5 - 25090560*x**4 - 24288000*x**3 - 7494080*x**2 + 1530877*x + 913244)/(571774140*x**6 + 1620026730*x**5 + 1588261500*x**4 + 423536400*x**3 - 282357600*x**2 - 207062240*x - 37647680) - 11264*log(x - 1/2)/823543 + 11264*log(x + 2/3)/823543","A",0
1569,1,80,0,0.212124," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x)**7,x)","\frac{- 177059520 x^{6} - 604953360 x^{5} - 795948120 x^{4} - 459657990 x^{3} - 48220029 x^{2} + 60874336 x + 18979078}{30875803560 x^{7} + 108065312460 x^{6} + 144087083280 x^{5} + 80048379600 x^{4} - 21346234560 x^{2} - 9487215360 x - 1355316480} - \frac{4048 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{4048 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"(-177059520*x**6 - 604953360*x**5 - 795948120*x**4 - 459657990*x**3 - 48220029*x**2 + 60874336*x + 18979078)/(30875803560*x**7 + 108065312460*x**6 + 144087083280*x**5 + 80048379600*x**4 - 21346234560*x**2 - 9487215360*x - 1355316480) - 4048*log(x - 1/2)/823543 + 4048*log(x + 2/3)/823543","A",0
1570,1,95,0,0.229507," ","integrate((3+5*x)**2/(1-2*x)**2/(2+3*x)**8,x)","\frac{- 746729280 x^{7} - 3049144560 x^{6} - 5057708040 x^{5} - 4176440730 x^{4} - 1495734471 x^{3} + 183177225 x^{2} + 327016403 x + 76539293}{378228593610 x^{8} + 1575952473375 x^{7} + 2647600155270 x^{6} + 2157303830220 x^{5} + 653728433400 x^{4} - 261491373360 x^{3} - 290545970400 x^{2} - 94081552320 x - 11068417920} - \frac{68288 \log{\left(x - \frac{1}{2} \right)}}{40353607} + \frac{68288 \log{\left(x + \frac{2}{3} \right)}}{40353607}"," ",0,"(-746729280*x**7 - 3049144560*x**6 - 5057708040*x**5 - 4176440730*x**4 - 1495734471*x**3 + 183177225*x**2 + 327016403*x + 76539293)/(378228593610*x**8 + 1575952473375*x**7 + 2647600155270*x**6 + 2157303830220*x**5 + 653728433400*x**4 - 261491373360*x**3 - 290545970400*x**2 - 94081552320*x - 11068417920) - 68288*log(x - 1/2)/40353607 + 68288*log(x + 2/3)/40353607","A",0
1571,1,82,0,0.135514," ","integrate((2+3*x)**8*(3+5*x)**3/(1-2*x)**2,x)","\frac{164025 x^{10}}{8} + \frac{370575 x^{9}}{2} + \frac{101721015 x^{8}}{128} + \frac{242570133 x^{7}}{112} + \frac{544462047 x^{6}}{128} + \frac{260574273 x^{5}}{40} + \frac{8502681987 x^{4}}{1024} + \frac{2416569641 x^{3}}{256} + \frac{21573106793 x^{2}}{2048} + \frac{7277894263 x}{512} + \frac{36770371407 \log{\left(2 x - 1 \right)}}{4096} - \frac{7672950131}{8192 x - 4096}"," ",0,"164025*x**10/8 + 370575*x**9/2 + 101721015*x**8/128 + 242570133*x**7/112 + 544462047*x**6/128 + 260574273*x**5/40 + 8502681987*x**4/1024 + 2416569641*x**3/256 + 21573106793*x**2/2048 + 7277894263*x/512 + 36770371407*log(2*x - 1)/4096 - 7672950131/(8192*x - 4096)","A",0
1572,1,75,0,0.133751," ","integrate((2+3*x)**7*(3+5*x)**3/(1-2*x)**2,x)","\frac{30375 x^{9}}{4} + \frac{127575 x^{8}}{2} + \frac{28463805 x^{7}}{112} + \frac{20626947 x^{6}}{32} + \frac{379446471 x^{5}}{320} + \frac{220950207 x^{4}}{128} + \frac{551942075 x^{3}}{256} + \frac{1312685491 x^{2}}{512} + \frac{3690540955 x}{1024} + \frac{298946109 \log{\left(2 x - 1 \right)}}{128} - \frac{1096135733}{4096 x - 2048}"," ",0,"30375*x**9/4 + 127575*x**8/2 + 28463805*x**7/112 + 20626947*x**6/32 + 379446471*x**5/320 + 220950207*x**4/128 + 551942075*x**3/256 + 1312685491*x**2/512 + 3690540955*x/1024 + 298946109*log(2*x - 1)/128 - 1096135733/(4096*x - 2048)","A",0
1573,1,68,0,0.128846," ","integrate((2+3*x)**6*(3+5*x)**3/(1-2*x)**2,x)","\frac{91125 x^{8}}{32} + \frac{309825 x^{7}}{14} + \frac{2611845 x^{6}}{32} + \frac{15403257 x^{5}}{80} + \frac{85406805 x^{4}}{256} + \frac{7530189 x^{3}}{16} + \frac{310976027 x^{2}}{512} + \frac{230244479 x}{256} + \frac{616195041 \log{\left(2 x - 1 \right)}}{1024} - \frac{156590819}{2048 x - 1024}"," ",0,"91125*x**8/32 + 309825*x**7/14 + 2611845*x**6/32 + 15403257*x**5/80 + 85406805*x**4/256 + 7530189*x**3/16 + 310976027*x**2/512 + 230244479*x/256 + 616195041*log(2*x - 1)/1024 - 156590819/(2048*x - 1024)","A",0
1574,1,61,0,0.125529," ","integrate((2+3*x)**5*(3+5*x)**3/(1-2*x)**2,x)","\frac{30375 x^{7}}{28} + \frac{15525 x^{6}}{2} + \frac{423009 x^{5}}{16} + \frac{3724389 x^{4}}{64} + \frac{6179077 x^{3}}{64} + \frac{8881301 x^{2}}{64} + \frac{56291737 x}{256} + \frac{39220335 \log{\left(2 x - 1 \right)}}{256} - \frac{22370117}{1024 x - 512}"," ",0,"30375*x**7/28 + 15525*x**6/2 + 423009*x**5/16 + 3724389*x**4/64 + 6179077*x**3/64 + 8881301*x**2/64 + 56291737*x/256 + 39220335*log(2*x - 1)/256 - 22370117/(1024*x - 512)","A",0
1575,1,54,0,0.122556," ","integrate((2+3*x)**4*(3+5*x)**3/(1-2*x)**2,x)","\frac{3375 x^{6}}{8} + \frac{5535 x^{5}}{2} + \frac{557415 x^{4}}{64} + \frac{289951 x^{3}}{16} + \frac{3859469 x^{2}}{128} + \frac{209243 x}{4} + \frac{9836211 \log{\left(2 x - 1 \right)}}{256} - \frac{3195731}{512 x - 256}"," ",0,"3375*x**6/8 + 5535*x**5/2 + 557415*x**4/64 + 289951*x**3/16 + 3859469*x**2/128 + 209243*x/4 + 9836211*log(2*x - 1)/256 - 3195731/(512*x - 256)","A",0
1576,1,48,0,0.117114," ","integrate((2+3*x)**3*(3+5*x)**3/(1-2*x)**2,x)","\frac{675 x^{5}}{4} + \frac{2025 x^{4}}{2} + \frac{47535 x^{3}}{16} + \frac{194881 x^{2}}{32} + \frac{766807 x}{64} + \frac{302379 \log{\left(2 x - 1 \right)}}{32} - \frac{456533}{256 x - 128}"," ",0,"675*x**5/4 + 2025*x**4/2 + 47535*x**3/16 + 194881*x**2/32 + 766807*x/64 + 302379*log(2*x - 1)/32 - 456533/(256*x - 128)","A",0
1577,1,41,0,0.113519," ","integrate((2+3*x)**2*(3+5*x)**3/(1-2*x)**2,x)","\frac{1125 x^{4}}{16} + \frac{775 x^{3}}{2} + \frac{35135 x^{2}}{32} + \frac{41537 x}{16} + \frac{144837 \log{\left(2 x - 1 \right)}}{64} - \frac{65219}{128 x - 64}"," ",0,"1125*x**4/16 + 775*x**3/2 + 35135*x**2/32 + 41537*x/16 + 144837*log(2*x - 1)/64 - 65219/(128*x - 64)","A",0
1578,1,34,0,0.108454," ","integrate((2+3*x)*(3+5*x)**3/(1-2*x)**2,x)","\frac{125 x^{3}}{4} + \frac{325 x^{2}}{2} + \frac{8245 x}{16} + \frac{8349 \log{\left(2 x - 1 \right)}}{16} - \frac{9317}{64 x - 32}"," ",0,"125*x**3/4 + 325*x**2/2 + 8245*x/16 + 8349*log(2*x - 1)/16 - 9317/(64*x - 32)","A",0
1579,1,27,0,0.099365," ","integrate((3+5*x)**3/(1-2*x)**2,x)","\frac{125 x^{2}}{8} + \frac{175 x}{2} + \frac{1815 \log{\left(2 x - 1 \right)}}{16} - \frac{1331}{32 x - 16}"," ",0,"125*x**2/8 + 175*x/2 + 1815*log(2*x - 1)/16 - 1331/(32*x - 16)","A",0
1580,1,29,0,0.145302," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x),x)","\frac{125 x}{12} + \frac{1089 \log{\left(x - \frac{1}{2} \right)}}{49} - \frac{\log{\left(x + \frac{2}{3} \right)}}{441} - \frac{1331}{112 x - 56}"," ",0,"125*x/12 + 1089*log(x - 1/2)/49 - log(x + 2/3)/441 - 1331/(112*x - 56)","A",0
1581,1,36,0,0.160397," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x)**2,x)","\frac{- 35929 x - 23962}{10584 x^{2} + 1764 x - 3528} + \frac{4719 \log{\left(x - \frac{1}{2} \right)}}{1372} + \frac{101 \log{\left(x + \frac{2}{3} \right)}}{3087}"," ",0,"(-35929*x - 23962)/(10584*x**2 + 1764*x - 3528) + 4719*log(x - 1/2)/1372 + 101*log(x + 2/3)/3087","A",0
1582,1,46,0,0.163594," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x)**3,x)","\frac{- 109023 x^{2} - 143936 x - 47519}{111132 x^{3} + 92610 x^{2} - 24696 x - 24696} + \frac{363 \log{\left(x - \frac{1}{2} \right)}}{2401} - \frac{363 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"(-109023*x**2 - 143936*x - 47519)/(111132*x**3 + 92610*x**2 - 24696*x - 24696) + 363*log(x - 1/2)/2401 - 363*log(x + 2/3)/2401","A",0
1583,1,56,0,0.177005," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x)**4,x)","\frac{- 1587762 x^{3} - 3599892 x^{2} - 2667797 x - 649256}{7001316 x^{4} + 10501974 x^{3} + 2333772 x^{2} - 2593080 x - 1037232} - \frac{3267 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{3267 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"(-1587762*x**3 - 3599892*x**2 - 2667797*x - 649256)/(7001316*x**4 + 10501974*x**3 + 2333772*x**2 - 2593080*x - 1037232) - 3267*log(x - 1/2)/16807 + 3267*log(x + 2/3)/16807","A",0
1584,1,66,0,0.192102," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x)**5,x)","\frac{- 42340320 x^{4} - 88209000 x^{3} - 66510750 x^{2} - 21109490 x - 2287541}{294055272 x^{5} + 637119756 x^{4} + 392073696 x^{3} - 43563744 x^{2} - 116169984 x - 29042496} - \frac{14520 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{14520 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"(-42340320*x**4 - 88209000*x**3 - 66510750*x**2 - 21109490*x - 2287541)/(294055272*x**5 + 637119756*x**4 + 392073696*x**3 - 43563744*x**2 - 116169984*x - 29042496) - 14520*log(x - 1/2)/117649 + 14520*log(x + 2/3)/117649","A",0
1585,1,75,0,0.203279," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x)**6,x)","\frac{- 656274960 x^{5} - 1804756140 x^{4} - 1747028250 x^{3} - 649342770 x^{2} - 25985087 x + 23684986}{10291934520 x^{6} + 29160481140 x^{5} + 28588707000 x^{4} + 7623655200 x^{3} - 5082436800 x^{2} - 3727120320 x - 677658240} - \frac{45012 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{45012 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"(-656274960*x**5 - 1804756140*x**4 - 1747028250*x**3 - 649342770*x**2 - 25985087*x + 23684986)/(10291934520*x**6 + 29160481140*x**5 + 28588707000*x**4 + 7623655200*x**3 - 5082436800*x**2 - 3727120320*x - 677658240) - 45012*log(x - 1/2)/823543 + 45012*log(x + 2/3)/823543","A",0
1586,1,80,0,0.215832," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x)**7,x)","\frac{- 2286377280 x^{6} - 7811789040 x^{5} - 10278112680 x^{4} - 5935583610 x^{3} - 887377581 x^{2} + 461259404 x + 145404842}{92627410680 x^{7} + 324195937380 x^{6} + 432261249840 x^{5} + 240145138800 x^{4} - 64038703680 x^{2} - 28461646080 x - 4065949440} - \frac{17424 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{17424 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"(-2286377280*x**6 - 7811789040*x**5 - 10278112680*x**4 - 5935583610*x**3 - 887377581*x**2 + 461259404*x + 145404842)/(92627410680*x**7 + 324195937380*x**6 + 432261249840*x**5 + 240145138800*x**4 - 64038703680*x**2 - 28461646080*x - 4065949440) - 17424*log(x - 1/2)/823543 + 17424*log(x + 2/3)/823543","A",0
1587,1,95,0,0.231589," ","integrate((3+5*x)**3/(1-2*x)**2/(2+3*x)**8,x)","\frac{- 121177995840 x^{7} - 494810149680 x^{6} - 820756518120 x^{5} - 677745912690 x^{4} - 242725322763 x^{3} + 18916696050 x^{2} + 39853850134 x + 8381276704}{13616229369960 x^{8} + 56734289041500 x^{7} + 95313605589720 x^{6} + 77662937887920 x^{5} + 23534223602400 x^{4} - 9413689440960 x^{3} - 10459654934400 x^{2} - 3386935883520 x - 398463045120} - \frac{307824 \log{\left(x - \frac{1}{2} \right)}}{40353607} + \frac{307824 \log{\left(x + \frac{2}{3} \right)}}{40353607}"," ",0,"(-121177995840*x**7 - 494810149680*x**6 - 820756518120*x**5 - 677745912690*x**4 - 242725322763*x**3 + 18916696050*x**2 + 39853850134*x + 8381276704)/(13616229369960*x**8 + 56734289041500*x**7 + 95313605589720*x**6 + 77662937887920*x**5 + 23534223602400*x**4 - 9413689440960*x**3 - 10459654934400*x**2 - 3386935883520*x - 398463045120) - 307824*log(x - 1/2)/40353607 + 307824*log(x + 2/3)/40353607","A",0
1588,1,63,0,0.159767," ","integrate((2+3*x)**8/(1-2*x)**2/(3+5*x),x)","\frac{2187 x^{6}}{40} + \frac{94041 x^{5}}{250} + \frac{9899091 x^{4}}{8000} + \frac{26773659 x^{3}}{10000} + \frac{1839811401 x^{2}}{400000} + \frac{2041906293 x}{250000} + \frac{188591347 \log{\left(x - \frac{1}{2} \right)}}{30976} + \frac{\log{\left(x + \frac{3}{5} \right)}}{9453125} - \frac{5764801}{5632 x - 2816}"," ",0,"2187*x**6/40 + 94041*x**5/250 + 9899091*x**4/8000 + 26773659*x**3/10000 + 1839811401*x**2/400000 + 2041906293*x/250000 + 188591347*log(x - 1/2)/30976 + log(x + 3/5)/9453125 - 5764801/(5632*x - 2816)","A",0
1589,1,56,0,0.158173," ","integrate((2+3*x)**7/(1-2*x)**2/(3+5*x),x)","\frac{2187 x^{5}}{100} + \frac{13851 x^{4}}{100} + \frac{853659 x^{3}}{2000} + \frac{18237069 x^{2}}{20000} + \frac{370109547 x}{200000} + \frac{5764801 \log{\left(x - \frac{1}{2} \right)}}{3872} + \frac{\log{\left(x + \frac{3}{5} \right)}}{1890625} - \frac{823543}{2816 x - 1408}"," ",0,"2187*x**5/100 + 13851*x**4/100 + 853659*x**3/2000 + 18237069*x**2/20000 + 370109547*x/200000 + 5764801*log(x - 1/2)/3872 + log(x + 3/5)/1890625 - 823543/(2816*x - 1408)","A",0
1590,1,49,0,0.155034," ","integrate((2+3*x)**6/(1-2*x)**2/(3+5*x),x)","\frac{729 x^{4}}{80} + \frac{2673 x^{3}}{50} + \frac{639819 x^{2}}{4000} + \frac{3946293 x}{10000} + \frac{2739541 \log{\left(x - \frac{1}{2} \right)}}{7744} + \frac{\log{\left(x + \frac{3}{5} \right)}}{378125} - \frac{117649}{1408 x - 704}"," ",0,"729*x**4/80 + 2673*x**3/50 + 639819*x**2/4000 + 3946293*x/10000 + 2739541*log(x - 1/2)/7744 + log(x + 3/5)/378125 - 117649/(1408*x - 704)","A",0
1591,1,42,0,0.150590," ","integrate((2+3*x)**5/(1-2*x)**2/(3+5*x),x)","\frac{81 x^{3}}{20} + \frac{567 x^{2}}{25} + \frac{152793 x}{2000} + \frac{156065 \log{\left(x - \frac{1}{2} \right)}}{1936} + \frac{\log{\left(x + \frac{3}{5} \right)}}{75625} - \frac{16807}{704 x - 352}"," ",0,"81*x**3/20 + 567*x**2/25 + 152793*x/2000 + 156065*log(x - 1/2)/1936 + log(x + 3/5)/75625 - 16807/(704*x - 352)","A",0
1592,1,36,0,0.146497," ","integrate((2+3*x)**4/(1-2*x)**2/(3+5*x),x)","\frac{81 x^{2}}{40} + \frac{621 x}{50} + \frac{33271 \log{\left(x - \frac{1}{2} \right)}}{1936} + \frac{\log{\left(x + \frac{3}{5} \right)}}{15125} - \frac{2401}{352 x - 176}"," ",0,"81*x**2/40 + 621*x/50 + 33271*log(x - 1/2)/1936 + log(x + 3/5)/15125 - 2401/(352*x - 176)","A",0
1593,1,29,0,0.142301," ","integrate((2+3*x)**3/(1-2*x)**2/(3+5*x),x)","\frac{27 x}{20} + \frac{392 \log{\left(x - \frac{1}{2} \right)}}{121} + \frac{\log{\left(x + \frac{3}{5} \right)}}{3025} - \frac{343}{176 x - 88}"," ",0,"27*x/20 + 392*log(x - 1/2)/121 + log(x + 3/5)/3025 - 343/(176*x - 88)","A",0
1594,1,24,0,0.138055," ","integrate((2+3*x)**2/(1-2*x)**2/(3+5*x),x)","\frac{217 \log{\left(x - \frac{1}{2} \right)}}{484} + \frac{\log{\left(x + \frac{3}{5} \right)}}{605} - \frac{49}{88 x - 44}"," ",0,"217*log(x - 1/2)/484 + log(x + 3/5)/605 - 49/(88*x - 44)","A",0
1595,1,22,0,0.118373," ","integrate((2+3*x)/(1-2*x)**2/(3+5*x),x)","- \frac{\log{\left(x - \frac{1}{2} \right)}}{121} + \frac{\log{\left(x + \frac{3}{5} \right)}}{121} - \frac{7}{44 x - 22}"," ",0,"-log(x - 1/2)/121 + log(x + 3/5)/121 - 7/(44*x - 22)","A",0
1596,1,26,0,0.126373," ","integrate(1/(1-2*x)**2/(3+5*x),x)","- \frac{5 \log{\left(x - \frac{1}{2} \right)}}{121} + \frac{5 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{1}{22 x - 11}"," ",0,"-5*log(x - 1/2)/121 + 5*log(x + 3/5)/121 - 1/(22*x - 11)","A",0
1597,1,36,0,0.176807," ","integrate(1/(1-2*x)**2/(2+3*x)/(3+5*x),x)","- \frac{136 \log{\left(x - \frac{1}{2} \right)}}{5929} + \frac{25 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{9 \log{\left(x + \frac{2}{3} \right)}}{49} - \frac{2}{154 x - 77}"," ",0,"-136*log(x - 1/2)/5929 + 25*log(x + 3/5)/121 - 9*log(x + 2/3)/49 - 2/(154*x - 77)","A",0
1598,1,44,0,0.199009," ","integrate(1/(1-2*x)**2/(2+3*x)**2/(3+5*x),x)","\frac{186 x - 107}{3234 x^{2} + 539 x - 1078} - \frac{404 \log{\left(x - \frac{1}{2} \right)}}{41503} + \frac{125 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{351 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"(186*x - 107)/(3234*x**2 + 539*x - 1078) - 404*log(x - 1/2)/41503 + 125*log(x + 3/5)/121 - 351*log(x + 2/3)/343","A",0
1599,1,54,0,0.219517," ","integrate(1/(1-2*x)**2/(2+3*x)**3/(3+5*x),x)","\frac{46188 x^{2} + 8916 x - 16201}{135828 x^{3} + 113190 x^{2} - 30184 x - 30184} - \frac{1072 \log{\left(x - \frac{1}{2} \right)}}{290521} + \frac{625 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{12393 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"(46188*x**2 + 8916*x - 16201)/(135828*x**3 + 113190*x**2 - 30184*x - 30184) - 1072*log(x - 1/2)/290521 + 625*log(x + 3/5)/121 - 12393*log(x + 2/3)/2401","A",0
1600,1,65,0,0.237928," ","integrate(1/(1-2*x)**2/(2+3*x)**4/(3+5*x),x)","\frac{4906764 x^{3} + 4250124 x^{2} - 1058241 x - 1148128}{2852388 x^{4} + 4278582 x^{3} + 950796 x^{2} - 1056440 x - 422576} - \frac{2672 \log{\left(x - \frac{1}{2} \right)}}{2033647} + \frac{3125 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{434043 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"(4906764*x**3 + 4250124*x**2 - 1058241*x - 1148128)/(2852388*x**4 + 4278582*x**3 + 950796*x**2 - 1056440*x - 422576) - 2672*log(x - 1/2)/2033647 + 3125*log(x + 3/5)/121 - 434043*log(x + 2/3)/16807","A",0
1601,1,75,0,0.258352," ","integrate(1/(1-2*x)**2/(2+3*x)**5/(3+5*x),x)","\frac{1031275800 x^{4} + 1581255000 x^{3} + 373875750 x^{2} - 389284050 x - 160957733}{119800296 x^{5} + 259567308 x^{4} + 159733728 x^{3} - 17748192 x^{2} - 47328512 x - 11832128} - \frac{6400 \log{\left(x - \frac{1}{2} \right)}}{14235529} + \frac{15625 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{15192225 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"(1031275800*x**4 + 1581255000*x**3 + 373875750*x**2 - 389284050*x - 160957733)/(119800296*x**5 + 259567308*x**4 + 159733728*x**3 - 17748192*x**2 - 47328512*x - 11832128) - 6400*log(x - 1/2)/14235529 + 15625*log(x + 3/5)/121 - 15192225*log(x + 2/3)/117649","A",0
1602,1,85,0,0.276158," ","integrate(1/(1-2*x)**2/(2+3*x)**6/(3+5*x),x)","\frac{541450587960 x^{5} + 1191190085640 x^{4} + 749805990750 x^{3} - 73492321230 x^{2} - 220760702913 x - 56342700586}{12579031080 x^{6} + 35640588060 x^{5} + 34941753000 x^{4} + 9317800800 x^{3} - 6211867200 x^{2} - 4555369280 x - 828248960} - \frac{14912 \log{\left(x - \frac{1}{2} \right)}}{99648703} + \frac{78125 \log{\left(x + \frac{3}{5} \right)}}{121} - \frac{531729603 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"(541450587960*x**5 + 1191190085640*x**4 + 749805990750*x**3 - 73492321230*x**2 - 220760702913*x - 56342700586)/(12579031080*x**6 + 35640588060*x**5 + 34941753000*x**4 + 9317800800*x**3 - 6211867200*x**2 - 4555369280*x - 828248960) - 14912*log(x - 1/2)/99648703 + 78125*log(x + 3/5)/121 - 531729603*log(x + 2/3)/823543","A",0
1603,1,68,0,0.180144," ","integrate((2+3*x)**8/(1-2*x)**2/(3+5*x)**2,x)","\frac{6561 x^{5}}{500} + \frac{168399 x^{4}}{2000} + \frac{2626101 x^{3}}{10000} + \frac{14171517 x^{2}}{25000} + \frac{231915717 x}{200000} + \frac{- 2251875390881 x - 1351125234247}{12100000000 x^{2} + 1210000000 x - 3630000000} + \frac{79883671 \log{\left(x - \frac{1}{2} \right)}}{85184} + \frac{268 \log{\left(x + \frac{3}{5} \right)}}{103984375}"," ",0,"6561*x**5/500 + 168399*x**4/2000 + 2626101*x**3/10000 + 14171517*x**2/25000 + 231915717*x/200000 + (-2251875390881*x - 1351125234247)/(12100000000*x**2 + 1210000000*x - 3630000000) + 79883671*log(x - 1/2)/85184 + 268*log(x + 3/5)/103984375","A",0
1604,1,61,0,0.175466," ","integrate((2+3*x)**7/(1-2*x)**2/(3+5*x)**2,x)","\frac{2187 x^{4}}{400} + \frac{16281 x^{3}}{500} + \frac{1974861 x^{2}}{20000} + \frac{6156243 x}{25000} + \frac{- 64339297003 x - 38603578061}{1210000000 x^{2} + 121000000 x - 363000000} + \frac{18941489 \log{\left(x - \frac{1}{2} \right)}}{85184} + \frac{47 \log{\left(x + \frac{3}{5} \right)}}{4159375}"," ",0,"2187*x**4/400 + 16281*x**3/500 + 1974861*x**2/20000 + 6156243*x/25000 + (-64339297003*x - 38603578061)/(1210000000*x**2 + 121000000*x - 363000000) + 18941489*log(x - 1/2)/85184 + 47*log(x + 3/5)/4159375","A",0
1605,1,54,0,0.174571," ","integrate((2+3*x)**6/(1-2*x)**2/(3+5*x)**2,x)","\frac{243 x^{3}}{100} + \frac{13851 x^{2}}{1000} + \frac{473607 x}{10000} + \frac{- 1838265689 x - 1102959343}{121000000 x^{2} + 12100000 x - 36300000} + \frac{67228 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{202 \log{\left(x + \frac{3}{5} \right)}}{4159375}"," ",0,"243*x**3/100 + 13851*x**2/1000 + 473607*x/10000 + (-1838265689*x - 1102959343)/(121000000*x**2 + 12100000*x - 36300000) + 67228*log(x - 1/2)/1331 + 202*log(x + 3/5)/4159375","A",0
1606,1,48,0,0.171197," ","integrate((2+3*x)**5/(1-2*x)**2/(3+5*x)**2,x)","\frac{243 x^{2}}{200} + \frac{3807 x}{500} + \frac{- 52521907 x - 31513109}{12100000 x^{2} + 1210000 x - 3630000} + \frac{228095 \log{\left(x - \frac{1}{2} \right)}}{21296} + \frac{169 \log{\left(x + \frac{3}{5} \right)}}{831875}"," ",0,"243*x**2/200 + 3807*x/500 + (-52521907*x - 31513109)/(12100000*x**2 + 1210000*x - 3630000) + 228095*log(x - 1/2)/21296 + 169*log(x + 3/5)/831875","A",0
1607,1,41,0,0.165574," ","integrate((2+3*x)**4/(1-2*x)**2/(3+5*x)**2,x)","\frac{81 x}{100} + \frac{- 1500641 x - 900367}{1210000 x^{2} + 121000 x - 363000} + \frac{10633 \log{\left(x - \frac{1}{2} \right)}}{5324} + \frac{136 \log{\left(x + \frac{3}{5} \right)}}{166375}"," ",0,"81*x/100 + (-1500641*x - 900367)/(1210000*x**2 + 121000*x - 363000) + 10633*log(x - 1/2)/5324 + 136*log(x + 3/5)/166375","A",0
1608,1,36,0,0.160524," ","integrate((2+3*x)**3/(1-2*x)**2/(3+5*x)**2,x)","\frac{- 42883 x - 25721}{121000 x^{2} + 12100 x - 36300} + \frac{1421 \log{\left(x - \frac{1}{2} \right)}}{5324} + \frac{103 \log{\left(x + \frac{3}{5} \right)}}{33275}"," ",0,"(-42883*x - 25721)/(121000*x**2 + 12100*x - 36300) + 1421*log(x - 1/2)/5324 + 103*log(x + 3/5)/33275","A",0
1609,1,36,0,0.144075," ","integrate((2+3*x)**2/(1-2*x)**2/(3+5*x)**2,x)","\frac{- 1229 x - 733}{12100 x^{2} + 1210 x - 3630} - \frac{14 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{14 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"(-1229*x - 733)/(12100*x**2 + 1210*x - 3630) - 14*log(x - 1/2)/1331 + 14*log(x + 3/5)/1331","A",0
1610,1,36,0,0.136618," ","integrate((2+3*x)/(1-2*x)**2/(3+5*x)**2,x)","\frac{- 37 x - 20}{1210 x^{2} + 121 x - 363} - \frac{37 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{37 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"(-37*x - 20)/(1210*x**2 + 121*x - 363) - 37*log(x - 1/2)/1331 + 37*log(x + 3/5)/1331","A",0
1611,1,36,0,0.145419," ","integrate(1/(1-2*x)**2/(3+5*x)**2,x)","\frac{- 20 x - 1}{1210 x^{2} + 121 x - 363} - \frac{20 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{20 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"(-20*x - 1)/(1210*x**2 + 121*x - 363) - 20*log(x - 1/2)/1331 + 20*log(x + 3/5)/1331","A",0
1612,1,44,0,0.202231," ","integrate(1/(1-2*x)**2/(2+3*x)/(3+5*x)**2,x)","\frac{163 - 370 x}{8470 x^{2} + 847 x - 2541} - \frac{412 \log{\left(x - \frac{1}{2} \right)}}{65219} - \frac{725 \log{\left(x + \frac{3}{5} \right)}}{1331} + \frac{27 \log{\left(x + \frac{2}{3} \right)}}{49}"," ",0,"(163 - 370*x)/(8470*x**2 + 847*x - 2541) - 412*log(x - 1/2)/65219 - 725*log(x + 3/5)/1331 + 27*log(x + 2/3)/49","A",0
1613,1,54,0,0.218603," ","integrate(1/(1-2*x)**2/(2+3*x)**2/(3+5*x)**2,x)","\frac{- 69540 x^{2} - 9544 x + 22003}{177870 x^{3} + 136367 x^{2} - 41503 x - 35574} - \frac{1088 \log{\left(x - \frac{1}{2} \right)}}{456533} - \frac{7750 \log{\left(x + \frac{3}{5} \right)}}{1331} + \frac{1998 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"(-69540*x**2 - 9544*x + 22003)/(177870*x**3 + 136367*x**2 - 41503*x - 35574) - 1088*log(x - 1/2)/456533 - 7750*log(x + 3/5)/1331 + 1998*log(x + 2/3)/343","A",0
1614,1,65,0,0.240116," ","integrate(1/(1-2*x)**2/(2+3*x)**3/(3+5*x)**2,x)","\frac{- 22224420 x^{3} - 17783592 x^{2} + 5074951 x + 4684319}{7470540 x^{4} + 10707774 x^{3} + 2075150 x^{2} - 2656192 x - 996072} - \frac{2704 \log{\left(x - \frac{1}{2} \right)}}{3195731} - \frac{59375 \log{\left(x + \frac{3}{5} \right)}}{1331} + \frac{107109 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"(-22224420*x**3 - 17783592*x**2 + 5074951*x + 4684319)/(7470540*x**4 + 10707774*x**3 + 2075150*x**2 - 2656192*x - 996072) - 2704*log(x - 1/2)/3195731 - 59375*log(x + 3/5)/1331 + 107109*log(x + 2/3)/2401","A",0
1615,1,75,0,0.260049," ","integrate(1/(1-2*x)**2/(2+3*x)**4/(3+5*x)**2,x)","\frac{- 1571590080 x^{4} - 2305013328 x^{3} - 479067048 x^{2} + 570653522 x + 220783501}{78440670 x^{5} + 164725407 x^{4} + 96743493 x^{3} - 13363966 x^{2} - 29052100 x - 6972504} - \frac{6464 \log{\left(x - \frac{1}{2} \right)}}{22370117} - \frac{400000 \log{\left(x + \frac{3}{5} \right)}}{1331} + \frac{5050944 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"(-1571590080*x**4 - 2305013328*x**3 - 479067048*x**2 + 570653522*x + 220783501)/(78440670*x**5 + 164725407*x**4 + 96743493*x**3 - 13363966*x**2 - 29052100*x - 6972504) - 6464*log(x - 1/2)/22370117 - 400000*log(x + 3/5)/1331 + 5050944*log(x + 2/3)/16807","A",0
1616,1,85,0,0.280635," ","integrate(1/(1-2*x)**2/(2+3*x)**5/(3+5*x)**2,x)","\frac{- 830228340600 x^{5} - 1771154199360 x^{4} - 1064845635750 x^{3} + 132753874800 x^{2} + 317609203475 x + 77754195847}{6589016280 x^{6} + 18229611708 x^{5} + 17351076204 x^{4} + 4295062464 x^{3} - 3188758496 x^{2} - 2212607936 x - 390460224} - \frac{15040 \log{\left(x - \frac{1}{2} \right)}}{156590819} - \frac{2515625 \log{\left(x + \frac{3}{5} \right)}}{1331} + \frac{222359715 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"(-830228340600*x**5 - 1771154199360*x**4 - 1064845635750*x**3 + 132753874800*x**2 + 317609203475*x + 77754195847)/(6589016280*x**6 + 18229611708*x**5 + 17351076204*x**4 + 4295062464*x**3 - 3188758496*x**2 - 2212607936*x - 390460224) - 15040*log(x - 1/2)/156590819 - 2515625*log(x + 3/5)/1331 + 222359715*log(x + 2/3)/117649","A",0
1617,1,71,0,0.200453," ","integrate((2+3*x)**8/(1-2*x)**2/(3+5*x)**3,x)","\frac{6561 x^{4}}{2000} + \frac{12393 x^{3}}{625} + \frac{6093711 x^{2}}{100000} + \frac{7680987 x}{50000} + \frac{- 11259377124645 x^{2} - 13511252361606 x - 4053375651317}{332750000000 x^{3} + 232925000000 x^{2} - 79860000000 x - 59895000000} + \frac{130943337 \log{\left(x - \frac{1}{2} \right)}}{937024} + \frac{6312 \log{\left(x + \frac{3}{5} \right)}}{228765625}"," ",0,"6561*x**4/2000 + 12393*x**3/625 + 6093711*x**2/100000 + 7680987*x/50000 + (-11259377124645*x**2 - 13511252361606*x - 4053375651317)/(332750000000*x**3 + 232925000000*x**2 - 79860000000*x - 59895000000) + 130943337*log(x - 1/2)/937024 + 6312*log(x + 3/5)/228765625","A",0
1618,1,65,0,0.198562," ","integrate((2+3*x)**7/(1-2*x)**2/(3+5*x)**3,x)","\frac{729 x^{3}}{500} + \frac{21141 x^{2}}{2500} + \frac{1467477 x}{50000} + \frac{- 321696559575 x^{2} - 386035789122 x - 115810711639}{33275000000 x^{3} + 23292500000 x^{2} - 7986000000 x - 5989500000} + \frac{7411887 \log{\left(x - \frac{1}{2} \right)}}{234256} + \frac{4761 \log{\left(x + \frac{3}{5} \right)}}{45753125}"," ",0,"729*x**3/500 + 21141*x**2/2500 + 1467477*x/50000 + (-321696559575*x**2 - 386035789122*x - 115810711639)/(33275000000*x**3 + 23292500000*x**2 - 7986000000*x - 5989500000) + 7411887*log(x - 1/2)/234256 + 4761*log(x + 3/5)/45753125","A",0
1619,1,58,0,0.190874," ","integrate((2+3*x)**6/(1-2*x)**2/(3+5*x)**3,x)","\frac{729 x^{2}}{1000} + \frac{2916 x}{625} + \frac{- 9191360445 x^{2} - 11029597158 x - 3308868341}{3327500000 x^{3} + 2329250000 x^{2} - 798600000 x - 598950000} + \frac{1563051 \log{\left(x - \frac{1}{2} \right)}}{234256} + \frac{17139 \log{\left(x + \frac{3}{5} \right)}}{45753125}"," ",0,"729*x**2/1000 + 2916*x/625 + (-9191360445*x**2 - 11029597158*x - 3308868341)/(3327500000*x**3 + 2329250000*x**2 - 798600000*x - 598950000) + 1563051*log(x - 1/2)/234256 + 17139*log(x + 3/5)/45753125","A",0
1620,1,51,0,0.187092," ","integrate((2+3*x)**5/(1-2*x)**2/(3+5*x)**3,x)","\frac{243 x}{500} + \frac{- 52524579 x^{2} - 63026538 x - 18907055}{66550000 x^{3} + 46585000 x^{2} - 15972000 x - 11979000} + \frac{36015 \log{\left(x - \frac{1}{2} \right)}}{29282} + \frac{11562 \log{\left(x + \frac{3}{5} \right)}}{9150625}"," ",0,"243*x/500 + (-52524579*x**2 - 63026538*x - 18907055)/(66550000*x**3 + 46585000*x**2 - 15972000*x - 11979000) + 36015*log(x - 1/2)/29282 + 11562*log(x + 3/5)/9150625","A",0
1621,1,46,0,0.182582," ","integrate((2+3*x)**4/(1-2*x)**2/(3+5*x)**3,x)","\frac{- 7508565 x^{2} - 9004338 x - 2699471}{33275000 x^{3} + 23292500 x^{2} - 7986000 x - 5989500} + \frac{9261 \log{\left(x - \frac{1}{2} \right)}}{58564} + \frac{7074 \log{\left(x + \frac{3}{5} \right)}}{1830125}"," ",0,"(-7508565*x**2 - 9004338*x - 2699471)/(33275000*x**3 + 23292500*x**2 - 7986000*x - 5989500) + 9261*log(x - 1/2)/58564 + 7074*log(x + 3/5)/1830125","A",0
1622,1,46,0,0.163020," ","integrate((2+3*x)**3/(1-2*x)**2/(3+5*x)**3,x)","\frac{- 216435 x^{2} - 257478 x - 76546}{3327500 x^{3} + 2329250 x^{2} - 798600 x - 598950} - \frac{147 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{147 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"(-216435*x**2 - 257478*x - 76546)/(3327500*x**3 + 2329250*x**2 - 798600*x - 598950) - 147*log(x - 1/2)/14641 + 147*log(x + 3/5)/14641","A",0
1623,1,46,0,0.159932," ","integrate((2+3*x)**2/(1-2*x)**2/(3+5*x)**3,x)","\frac{- 13650 x^{2} - 14862 x - 3979}{665500 x^{3} + 465850 x^{2} - 159720 x - 119790} - \frac{273 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{273 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"(-13650*x**2 - 14862*x - 3979)/(665500*x**3 + 465850*x**2 - 159720*x - 119790) - 273*log(x - 1/2)/14641 + 273*log(x + 3/5)/14641","A",0
1624,1,46,0,0.153805," ","integrate((2+3*x)/(1-2*x)**2/(3+5*x)**3,x)","\frac{- 1440 x^{2} - 936 x - 19}{133100 x^{3} + 93170 x^{2} - 31944 x - 23958} - \frac{144 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{144 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"(-1440*x**2 - 936*x - 19)/(133100*x**3 + 93170*x**2 - 31944*x - 23958) - 144*log(x - 1/2)/14641 + 144*log(x + 3/5)/14641","A",0
1625,1,44,0,0.167305," ","integrate(1/(1-2*x)**2/(3+5*x)**3,x)","\frac{- 600 x^{2} - 390 x + 103}{133100 x^{3} + 93170 x^{2} - 31944 x - 23958} - \frac{60 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{60 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"(-600*x**2 - 390*x + 103)/(133100*x**3 + 93170*x**2 - 31944*x - 23958) - 60*log(x - 1/2)/14641 + 60*log(x + 3/5)/14641","A",0
1626,1,54,0,0.220269," ","integrate(1/(1-2*x)**2/(2+3*x)/(3+5*x)**3,x)","\frac{101100 x^{2} + 5820 x - 28669}{931700 x^{3} + 652190 x^{2} - 223608 x - 167706} - \frac{1104 \log{\left(x - \frac{1}{2} \right)}}{717409} + \frac{24225 \log{\left(x + \frac{3}{5} \right)}}{14641} - \frac{81 \log{\left(x + \frac{2}{3} \right)}}{49}"," ",0,"(101100*x**2 + 5820*x - 28669)/(931700*x**3 + 652190*x**2 - 223608*x - 167706) - 1104*log(x - 1/2)/717409 + 24225*log(x + 3/5)/14641 - 81*log(x + 2/3)/49","A",0
1627,1,65,0,0.240543," ","integrate(1/(1-2*x)**2/(2+3*x)**2/(3+5*x)**3,x)","\frac{33563700 x^{3} + 24606540 x^{2} - 7974123 x - 6363424}{19565700 x^{4} + 26739790 x^{3} + 4434892 x^{2} - 6652338 x - 2347884} - \frac{2736 \log{\left(x - \frac{1}{2} \right)}}{5021863} + \frac{376875 \log{\left(x + \frac{3}{5} \right)}}{14641} - \frac{8829 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"(33563700*x**3 + 24606540*x**2 - 7974123*x - 6363424)/(19565700*x**4 + 26739790*x**3 + 4434892*x**2 - 6652338*x - 2347884) - 2736*log(x - 1/2)/5021863 + 376875*log(x + 3/5)/14641 - 8829*log(x + 2/3)/343","A",0
1628,1,75,0,0.261480," ","integrate(1/(1-2*x)**2/(2+3*x)**3/(3+5*x)**3,x)","\frac{7191217800 x^{4} + 10067655960 x^{3} + 1808383578 x^{2} - 2501680914 x - 909187261}{410879700 x^{5} + 835455390 x^{4} + 467489792 x^{3} - 77610610 x^{2} - 142438296 x - 32870376} - \frac{6528 \log{\left(x - \frac{1}{2} \right)}}{35153041} + \frac{3843750 \log{\left(x + \frac{3}{5} \right)}}{14641} - \frac{630342 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"(7191217800*x**4 + 10067655960*x**3 + 1808383578*x**2 - 2501680914*x - 909187261)/(410879700*x**5 + 835455390*x**4 + 467489792*x**3 - 77610610*x**2 - 142438296*x - 32870376) - 6528*log(x - 1/2)/35153041 + 3843750*log(x + 3/5)/14641 - 630342*log(x + 2/3)/2401","A",0
1629,1,85,0,0.280876," ","integrate(1/(1-2*x)**2/(2+3*x)**4/(3+5*x)**3,x)","\frac{1273702595400 x^{5} + 2632318355880 x^{4} + 1509100957674 x^{3} - 229550032266 x^{2} - 456430279071 x - 107358241468}{8628473700 x^{6} + 23296878990 x^{5} + 21513661092 x^{4} + 4915034278 x^{3} - 4077752756 x^{2} - 2684414040 x - 460185264} - \frac{15168 \log{\left(x - \frac{1}{2} \right)}}{246071287} + \frac{32418750 \log{\left(x + \frac{3}{5} \right)}}{14641} - \frac{37214802 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"(1273702595400*x**5 + 2632318355880*x**4 + 1509100957674*x**3 - 229550032266*x**2 - 456430279071*x - 107358241468)/(8628473700*x**6 + 23296878990*x**5 + 21513661092*x**4 + 4915034278*x**3 - 4077752756*x**2 - 2684414040*x - 460185264) - 15168*log(x - 1/2)/246071287 + 32418750*log(x + 3/5)/14641 - 37214802*log(x + 2/3)/16807","A",0
1630,1,71,0,0.154369," ","integrate((2+3*x)**8*(3+5*x)/(1-2*x)**3,x)","- \frac{32805 x^{7}}{56} - \frac{162567 x^{6}}{32} - \frac{213597 x^{5}}{10} - \frac{7568235 x^{4}}{128} - \frac{16042509 x^{3}}{128} - \frac{118841283 x^{2}}{512} - \frac{120864213 x}{256} - \frac{429065903 - 984957428 x}{8192 x^{2} - 8192 x + 2048} - \frac{106237047 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-32805*x**7/56 - 162567*x**6/32 - 213597*x**5/10 - 7568235*x**4/128 - 16042509*x**3/128 - 118841283*x**2/512 - 120864213*x/256 - (429065903 - 984957428*x)/(8192*x**2 - 8192*x + 2048) - 106237047*log(2*x - 1)/256","A",0
1631,1,65,0,0.149677," ","integrate((2+3*x)**7*(3+5*x)/(1-2*x)**3,x)","- \frac{3645 x^{6}}{16} - \frac{147987 x^{5}}{80} - \frac{235467 x^{4}}{32} - \frac{631611 x^{3}}{32} - \frac{10989621 x^{2}}{256} - \frac{24960933 x}{256} - \frac{53530295 - 125178536 x}{4096 x^{2} - 4096 x + 1024} - \frac{23647449 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-3645*x**6/16 - 147987*x**5/80 - 235467*x**4/32 - 631611*x**3/32 - 10989621*x**2/256 - 24960933*x/256 - (53530295 - 125178536*x)/(4096*x**2 - 4096*x + 1024) - 23647449*log(2*x - 1)/256","A",0
1632,1,58,0,0.146067," ","integrate((2+3*x)**6*(3+5*x)/(1-2*x)**3,x)","- \frac{729 x^{5}}{8} - \frac{44469 x^{4}}{64} - \frac{10611 x^{3}}{4} - \frac{461835 x^{2}}{64} - \frac{2431647 x}{128} - \frac{6537923 - 15664124 x}{2048 x^{2} - 2048 x + 512} - \frac{5078115 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-729*x**5/8 - 44469*x**4/64 - 10611*x**3/4 - 461835*x**2/64 - 2431647*x/128 - (6537923 - 15664124*x)/(2048*x**2 - 2048*x + 512) - 5078115*log(2*x - 1)/256","A",0
1633,1,51,0,0.140728," ","integrate((2+3*x)**5*(3+5*x)/(1-2*x)**3,x)","- \frac{1215 x^{4}}{32} - \frac{4401 x^{3}}{16} - \frac{16821 x^{2}}{16} - \frac{109089 x}{32} - \frac{775523 - 1920800 x}{1024 x^{2} - 1024 x + 256} - \frac{519645 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-1215*x**4/32 - 4401*x**3/16 - 16821*x**2/16 - 109089*x/32 - (775523 - 1920800*x)/(1024*x**2 - 1024*x + 256) - 519645*log(2*x - 1)/128","A",0
1634,1,42,0,0.134912," ","integrate((2+3*x)**4*(3+5*x)/(1-2*x)**3,x)","- \frac{135 x^{3}}{8} - \frac{3861 x^{2}}{32} - 540 x - \frac{88151 - 229124 x}{512 x^{2} - 512 x + 128} - \frac{24843 \log{\left(2 x - 1 \right)}}{32}"," ",0,"-135*x**3/8 - 3861*x**2/32 - 540*x - (88151 - 229124*x)/(512*x**2 - 512*x + 128) - 24843*log(2*x - 1)/32","A",0
1635,1,37,0,0.130189," ","integrate((2+3*x)**3*(3+5*x)/(1-2*x)**3,x)","- \frac{135 x^{2}}{16} - \frac{1107 x}{16} - \frac{9359 - 26264 x}{256 x^{2} - 256 x + 64} - \frac{1071 \log{\left(2 x - 1 \right)}}{8}"," ",0,"-135*x**2/16 - 1107*x/16 - (9359 - 26264*x)/(256*x**2 - 256*x + 64) - 1071*log(2*x - 1)/8","A",0
1636,1,31,0,0.134529," ","integrate((2+3*x)**2*(3+5*x)/(1-2*x)**3,x)","- \frac{45 x}{8} - \frac{875 - 2828 x}{128 x^{2} - 128 x + 32} - \frac{309 \log{\left(2 x - 1 \right)}}{16}"," ",0,"-45*x/8 - (875 - 2828*x)/(128*x**2 - 128*x + 32) - 309*log(2*x - 1)/16","A",0
1637,1,26,0,0.118694," ","integrate((2+3*x)*(3+5*x)/(1-2*x)**3,x)","- \frac{59 - 272 x}{64 x^{2} - 64 x + 16} - \frac{15 \log{\left(2 x - 1 \right)}}{8}"," ",0,"-(59 - 272*x)/(64*x**2 - 64*x + 16) - 15*log(2*x - 1)/8","A",0
1638,1,17,0,0.104916," ","integrate((3+5*x)/(1-2*x)**3,x)","- \frac{- 20 x - 1}{32 x^{2} - 32 x + 8}"," ",0,"-(-20*x - 1)/(32*x**2 - 32*x + 8)","A",0
1639,1,36,0,0.142426," ","integrate((3+5*x)/(1-2*x)**3/(2+3*x),x)","- \frac{- 8 x - 73}{784 x^{2} - 784 x + 196} + \frac{3 \log{\left(x - \frac{1}{2} \right)}}{343} - \frac{3 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(-8*x - 73)/(784*x**2 - 784*x + 196) + 3*log(x - 1/2)/343 - 3*log(x + 2/3)/343","A",0
1640,1,44,0,0.163970," ","integrate((3+5*x)/(1-2*x)**3/(2+3*x)**2,x)","- \frac{348 x^{2} - 145 x - 284}{8232 x^{3} - 2744 x^{2} - 3430 x + 1372} - \frac{87 \log{\left(x - \frac{1}{2} \right)}}{2401} + \frac{87 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(348*x**2 - 145*x - 284)/(8232*x**3 - 2744*x**2 - 3430*x + 1372) - 87*log(x - 1/2)/2401 + 87*log(x + 2/3)/2401","A",0
1641,1,54,0,0.172533," ","integrate((3+5*x)/(1-2*x)**3/(2+3*x)**3,x)","- \frac{6696 x^{3} + 1674 x^{2} - 3658 x - 1313}{172872 x^{4} + 57624 x^{3} - 110446 x^{2} - 19208 x + 19208} - \frac{558 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{558 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(6696*x**3 + 1674*x**2 - 3658*x - 1313)/(172872*x**4 + 57624*x**3 - 110446*x**2 - 19208*x + 19208) - 558*log(x - 1/2)/16807 + 558*log(x + 2/3)/16807","A",0
1642,1,65,0,0.192248," ","integrate((3+5*x)/(1-2*x)**3/(2+3*x)**4,x)","- \frac{82080 x^{4} + 75240 x^{3} - 31160 x^{2} - 33725 x - 3088}{3630312 x^{5} + 3630312 x^{4} - 1512630 x^{3} - 1949612 x^{2} + 134456 x + 268912} - \frac{2280 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{2280 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(82080*x**4 + 75240*x**3 - 31160*x**2 - 33725*x - 3088)/(3630312*x**5 + 3630312*x**4 - 1512630*x**3 - 1949612*x**2 + 134456*x + 268912) - 2280*log(x - 1/2)/117649 + 2280*log(x + 2/3)/117649","A",0
1643,1,75,0,0.203859," ","integrate((3+5*x)/(1-2*x)**3/(2+3*x)**5,x)","- \frac{1658880 x^{5} + 2626560 x^{4} + 384000 x^{3} - 1101440 x^{2} - 403584 x + 28275}{152473104 x^{6} + 254121840 x^{5} + 38118276 x^{4} - 124237344 x^{3} - 48941984 x^{2} + 15059072 x + 7529536} - \frac{7680 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{7680 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(1658880*x**5 + 2626560*x**4 + 384000*x**3 - 1101440*x**2 - 403584*x + 28275)/(152473104*x**6 + 254121840*x**5 + 38118276*x**4 - 124237344*x**3 - 48941984*x**2 + 15059072*x + 7529536) - 7680*log(x - 1/2)/823543 + 7680*log(x + 2/3)/823543","A",0
1644,1,85,0,0.217567," ","integrate((3+5*x)/(1-2*x)**3/(2+3*x)**6,x)","- \frac{10730880 x^{6} + 24144480 x^{5} + 13811040 x^{4} - 5468940 x^{3} - 7360644 x^{2} - 1134751 x + 381394}{2287096560 x^{7} + 5336558640 x^{6} + 3112992540 x^{5} - 1482377400 x^{4} - 1976503200 x^{3} - 263533760 x^{2} + 263533760 x + 75295360} - \frac{3312 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{3312 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(10730880*x**6 + 24144480*x**5 + 13811040*x**4 - 5468940*x**3 - 7360644*x**2 - 1134751*x + 381394)/(2287096560*x**7 + 5336558640*x**6 + 3112992540*x**5 - 1482377400*x**4 - 1976503200*x**3 - 263533760*x**2 + 263533760*x + 75295360) - 3312*log(x - 1/2)/823543 + 3312*log(x + 2/3)/823543","A",0
1645,1,71,0,0.157147," ","integrate((2+3*x)**7*(3+5*x)**2/(1-2*x)**3,x)","- \frac{54675 x^{7}}{56} - \frac{268515 x^{6}}{32} - \frac{2798631 x^{5}}{80} - \frac{12299769 x^{4}}{128} - \frac{25895367 x^{3}}{128} - \frac{190742391 x^{2}}{512} - \frac{48280011 x}{64} - \frac{679422975 - 1558143356 x}{8192 x^{2} - 8192 x + 2048} - \frac{84589631 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-54675*x**7/56 - 268515*x**6/32 - 2798631*x**5/80 - 12299769*x**4/128 - 25895367*x**3/128 - 190742391*x**2/512 - 48280011*x/64 - (679422975 - 1558143356*x)/(8192*x**2 - 8192*x + 2048) - 84589631*log(2*x - 1)/128","A",0
1646,1,65,0,0.153038," ","integrate((2+3*x)**6*(3+5*x)**2/(1-2*x)**3,x)","- \frac{6075 x^{6}}{16} - \frac{48843 x^{5}}{16} - \frac{770067 x^{4}}{64} - \frac{1024389 x^{3}}{32} - \frac{17700255 x^{2}}{256} - \frac{39980457 x}{256} - \frac{84858543 - 198188144 x}{4096 x^{2} - 4096 x + 1024} - \frac{18859855 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-6075*x**6/16 - 48843*x**5/16 - 770067*x**4/64 - 1024389*x**3/32 - 17700255*x**2/256 - 39980457*x/256 - (84858543 - 198188144*x)/(4096*x**2 - 4096*x + 1024) - 18859855*log(2*x - 1)/128","A",0
1647,1,58,0,0.147775," ","integrate((2+3*x)**5*(3+5*x)**2/(1-2*x)**3,x)","- \frac{1215 x^{5}}{8} - \frac{73305 x^{4}}{64} - \frac{69273 x^{3}}{16} - \frac{747297 x^{2}}{64} - \frac{3907293 x}{128} - \frac{10379523 - 24826340 x}{2048 x^{2} - 2048 x + 512} - \frac{8117095 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-1215*x**5/8 - 73305*x**4/64 - 69273*x**3/16 - 747297*x**2/64 - 3907293*x/128 - (10379523 - 24826340*x)/(2048*x**2 - 2048*x + 512) - 8117095*log(2*x - 1)/256","A",0
1648,1,51,0,0.144830," ","integrate((2+3*x)**4*(3+5*x)**2/(1-2*x)**3,x)","- \frac{2025 x^{4}}{32} - \frac{7245 x^{3}}{16} - \frac{54783 x^{2}}{32} - \frac{176055 x}{32} - \frac{1233771 - 3048584 x}{1024 x^{2} - 1024 x + 256} - \frac{832951 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-2025*x**4/32 - 7245*x**3/16 - 54783*x**2/32 - 176055*x/32 - (1233771 - 3048584*x)/(1024*x**2 - 1024*x + 256) - 832951*log(2*x - 1)/128","A",0
1649,1,44,0,0.139528," ","integrate((2+3*x)**3*(3+5*x)**2/(1-2*x)**3,x)","- \frac{225 x^{3}}{8} - \frac{6345 x^{2}}{32} - \frac{14031 x}{16} - \frac{140679 - 364364 x}{512 x^{2} - 512 x + 128} - \frac{39977 \log{\left(2 x - 1 \right)}}{32}"," ",0,"-225*x**3/8 - 6345*x**2/32 - 14031*x/16 - (140679 - 364364*x)/(512*x**2 - 512*x + 128) - 39977*log(2*x - 1)/32","A",0
1650,1,37,0,0.137916," ","integrate((2+3*x)**2*(3+5*x)**2/(1-2*x)**3,x)","- \frac{225 x^{2}}{16} - \frac{1815 x}{16} - \frac{15015 - 41888 x}{256 x^{2} - 256 x + 64} - \frac{3467 \log{\left(2 x - 1 \right)}}{16}"," ",0,"-225*x**2/16 - 1815*x/16 - (15015 - 41888*x)/(256*x**2 - 256*x + 64) - 3467*log(2*x - 1)/16","A",0
1651,1,31,0,0.126928," ","integrate((2+3*x)*(3+5*x)**2/(1-2*x)**3,x)","- \frac{75 x}{8} - \frac{1419 - 4532 x}{128 x^{2} - 128 x + 32} - \frac{505 \log{\left(2 x - 1 \right)}}{16}"," ",0,"-75*x/8 - (1419 - 4532*x)/(128*x**2 - 128*x + 32) - 505*log(2*x - 1)/16","A",0
1652,1,26,0,0.121629," ","integrate((3+5*x)**2/(1-2*x)**3,x)","- \frac{99 - 440 x}{64 x^{2} - 64 x + 16} - \frac{25 \log{\left(2 x - 1 \right)}}{8}"," ",0,"-(99 - 440*x)/(64*x**2 - 64*x + 16) - 25*log(2*x - 1)/8","A",0
1653,1,32,0,0.151537," ","integrate((3+5*x)**2/(1-2*x)**3/(2+3*x),x)","- \frac{- 1628 x - 33}{1568 x^{2} - 1568 x + 392} - \frac{\log{\left(x - \frac{1}{2} \right)}}{343} + \frac{\log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(-1628*x - 33)/(1568*x**2 - 1568*x + 392) - log(x - 1/2)/343 + log(x + 2/3)/343","A",0
1654,1,46,0,0.172007," ","integrate((3+5*x)**2/(1-2*x)**3/(2+3*x)**2,x)","- \frac{- 512 x^{2} - 2645 x - 1514}{16464 x^{3} - 5488 x^{2} - 6860 x + 2744} + \frac{64 \log{\left(x - \frac{1}{2} \right)}}{2401} - \frac{64 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(-512*x**2 - 2645*x - 1514)/(16464*x**3 - 5488*x**2 - 6860*x + 2744) + 64*log(x - 1/2)/2401 - 64*log(x + 2/3)/2401","A",0
1655,1,54,0,0.181692," ","integrate((3+5*x)**2/(1-2*x)**3/(2+3*x)**3,x)","- \frac{9948 x^{3} + 2487 x^{2} - 12104 x - 6189}{172872 x^{4} + 57624 x^{3} - 110446 x^{2} - 19208 x + 19208} - \frac{829 \log{\left(x - \frac{1}{2} \right)}}{16807} + \frac{829 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(9948*x**3 + 2487*x**2 - 12104*x - 6189)/(172872*x**4 + 57624*x**3 - 110446*x**2 - 19208*x + 19208) - 829*log(x - 1/2)/16807 + 829*log(x + 2/3)/16807","A",0
1656,1,65,0,0.195449," ","integrate((3+5*x)**2/(1-2*x)**3/(2+3*x)**4,x)","- \frac{310500 x^{4} + 284625 x^{3} - 117875 x^{2} - 180100 x - 44411}{5445468 x^{5} + 5445468 x^{4} - 2268945 x^{3} - 2924418 x^{2} + 201684 x + 403368} - \frac{5750 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{5750 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(310500*x**4 + 284625*x**3 - 117875*x**2 - 180100*x - 44411)/(5445468*x**5 + 5445468*x**4 - 2268945*x**3 - 2924418*x**2 + 201684*x + 403368) - 5750*log(x - 1/2)/117649 + 5750*log(x + 2/3)/117649","A",0
1657,1,75,0,0.216238," ","integrate((3+5*x)**2/(1-2*x)**3/(2+3*x)**5,x)","- \frac{15577920 x^{5} + 24665040 x^{4} + 3606000 x^{3} - 10343210 x^{2} - 4966396 x - 460595}{457419312 x^{6} + 762365520 x^{5} + 114354828 x^{4} - 372712032 x^{3} - 146825952 x^{2} + 45177216 x + 22588608} - \frac{24040 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{24040 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(15577920*x**5 + 24665040*x**4 + 3606000*x**3 - 10343210*x**2 - 4966396*x - 460595)/(457419312*x**6 + 762365520*x**5 + 114354828*x**4 - 372712032*x**3 - 146825952*x**2 + 45177216*x + 22588608) - 24040*log(x - 1/2)/823543 + 24040*log(x + 2/3)/823543","A",0
1658,1,85,0,0.227208," ","integrate((3+5*x)**2/(1-2*x)**3/(2+3*x)**6,x)","- \frac{28421280 x^{6} + 63947880 x^{5} + 36579240 x^{4} - 14484765 x^{3} - 19495039 x^{2} - 4230956 x + 258089}{1715322420 x^{7} + 4002418980 x^{6} + 2334744405 x^{5} - 1111783050 x^{4} - 1482377400 x^{3} - 197650320 x^{2} + 197650320 x + 56471520} - \frac{11696 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{11696 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(28421280*x**6 + 63947880*x**5 + 36579240*x**4 - 14484765*x**3 - 19495039*x**2 - 4230956*x + 258089)/(1715322420*x**7 + 4002418980*x**6 + 2334744405*x**5 - 1111783050*x**4 - 1482377400*x**3 - 197650320*x**2 + 197650320*x + 56471520) - 11696*log(x - 1/2)/823543 + 11696*log(x + 2/3)/823543","A",0
1659,1,71,0,0.159660," ","integrate((2+3*x)**6*(3+5*x)**3/(1-2*x)**3,x)","- \frac{91125 x^{7}}{56} - \frac{443475 x^{6}}{32} - \frac{229149 x^{5}}{4} - \frac{19986237 x^{4}}{128} - \frac{41793093 x^{3}}{128} - \frac{306103815 x^{2}}{512} - \frac{308539921 x}{256} - \frac{1075799263 - 2464780164 x}{8192 x^{2} - 8192 x + 2048} - \frac{33674025 \log{\left(2 x - 1 \right)}}{32}"," ",0,"-91125*x**7/56 - 443475*x**6/32 - 229149*x**5/4 - 19986237*x**4/128 - 41793093*x**3/128 - 306103815*x**2/512 - 308539921*x/256 - (1075799263 - 2464780164*x)/(8192*x**2 - 8192*x + 2048) - 33674025*log(2*x - 1)/32","A",0
1660,1,65,0,0.152399," ","integrate((2+3*x)**5*(3+5*x)**3/(1-2*x)**3,x)","- \frac{10125 x^{6}}{16} - \frac{80595 x^{5}}{16} - \frac{629505 x^{4}}{32} - \frac{1661133 x^{3}}{32} - \frac{28504029 x^{2}}{256} - \frac{64029233 x}{256} - \frac{134511223 - 313762680 x}{4096 x^{2} - 4096 x + 1024} - \frac{60160485 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-10125*x**6/16 - 80595*x**5/16 - 629505*x**4/32 - 1661133*x**3/32 - 28504029*x**2/256 - 64029233*x/256 - (134511223 - 313762680*x)/(4096*x**2 - 4096*x + 1024) - 60160485*log(2*x - 1)/256","A",0
1661,1,56,0,0.146004," ","integrate((2+3*x)**4*(3+5*x)**3/(1-2*x)**3,x)","- \frac{2025 x^{5}}{8} - \frac{120825 x^{4}}{64} - 7065 x^{3} - \frac{1208973 x^{2}}{64} - \frac{6277415 x}{128} - \frac{16476691 - 39344844 x}{2048 x^{2} - 2048 x + 512} - \frac{12973191 \log{\left(2 x - 1 \right)}}{256}"," ",0,"-2025*x**5/8 - 120825*x**4/64 - 7065*x**3 - 1208973*x**2/64 - 6277415*x/128 - (16476691 - 39344844*x)/(2048*x**2 - 2048*x + 512) - 12973191*log(2*x - 1)/256","A",0
1662,1,51,0,0.149376," ","integrate((2+3*x)**3*(3+5*x)**3/(1-2*x)**3,x)","- \frac{3375 x^{4}}{32} - \frac{11925 x^{3}}{16} - \frac{44595 x^{2}}{16} - \frac{284071 x}{32} - \frac{1962499 - 4838064 x}{1024 x^{2} - 1024 x + 256} - \frac{1334949 \log{\left(2 x - 1 \right)}}{128}"," ",0,"-3375*x**4/32 - 11925*x**3/16 - 44595*x**2/16 - 284071*x/32 - (1962499 - 4838064*x)/(1024*x**2 - 1024*x + 256) - 1334949*log(2*x - 1)/128","A",0
1663,1,44,0,0.138808," ","integrate((2+3*x)**2*(3+5*x)**3/(1-2*x)**3,x)","- \frac{375 x^{3}}{8} - \frac{10425 x^{2}}{32} - \frac{5695 x}{4} - \frac{224455 - 579348 x}{512 x^{2} - 512 x + 128} - \frac{64317 \log{\left(2 x - 1 \right)}}{32}"," ",0,"-375*x**3/8 - 10425*x**2/32 - 5695*x/4 - (224455 - 579348*x)/(512*x**2 - 512*x + 128) - 64317*log(2*x - 1)/32","A",0
1664,1,37,0,0.131805," ","integrate((2+3*x)*(3+5*x)**3/(1-2*x)**3,x)","- \frac{375 x^{2}}{16} - \frac{2975 x}{16} - \frac{24079 - 66792 x}{256 x^{2} - 256 x + 64} - \frac{2805 \log{\left(2 x - 1 \right)}}{8}"," ",0,"-375*x**2/16 - 2975*x/16 - (24079 - 66792*x)/(256*x**2 - 256*x + 64) - 2805*log(2*x - 1)/8","A",0
1665,1,31,0,0.124867," ","integrate((3+5*x)**3/(1-2*x)**3,x)","- \frac{125 x}{8} - \frac{2299 - 7260 x}{128 x^{2} - 128 x + 32} - \frac{825 \log{\left(2 x - 1 \right)}}{16}"," ",0,"-125*x/8 - (2299 - 7260*x)/(128*x**2 - 128*x + 32) - 825*log(2*x - 1)/16","A",0
1666,1,34,0,0.173264," ","integrate((3+5*x)**3/(1-2*x)**3/(2+3*x),x)","- \frac{8107 - 34848 x}{3136 x^{2} - 3136 x + 784} - \frac{14289 \log{\left(x - \frac{1}{2} \right)}}{2744} - \frac{\log{\left(x + \frac{2}{3} \right)}}{1029}"," ",0,"-(8107 - 34848*x)/(3136*x**2 - 3136*x + 784) - 14289*log(x - 1/2)/2744 - log(x + 2/3)/1029","A",0
1667,1,44,0,0.175871," ","integrate((3+5*x)**3/(1-2*x)**3/(2+3*x)**2,x)","- \frac{- 169916 x^{2} - 112135 x + 718}{98784 x^{3} - 32928 x^{2} - 41160 x + 16464} - \frac{33 \log{\left(x - \frac{1}{2} \right)}}{2401} + \frac{33 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(-169916*x**2 - 112135*x + 718)/(98784*x**3 - 32928*x**2 - 41160*x + 16464) - 33*log(x - 1/2)/2401 + 33*log(x + 2/3)/2401","A",0
1668,1,56,0,0.190993," ","integrate((3+5*x)**3/(1-2*x)**3/(2+3*x)**3,x)","- \frac{- 73656 x^{3} - 318539 x^{2} - 319912 x - 93602}{1037232 x^{4} + 345744 x^{3} - 662676 x^{2} - 115248 x + 115248} + \frac{1023 \log{\left(x - \frac{1}{2} \right)}}{16807} - \frac{1023 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(-73656*x**3 - 318539*x**2 - 319912*x - 93602)/(1037232*x**4 + 345744*x**3 - 662676*x**2 - 115248*x + 115248) + 1023*log(x - 1/2)/16807 - 1023*log(x + 2/3)/16807","A",0
1669,1,65,0,0.199257," ","integrate((3+5*x)**3/(1-2*x)**3/(2+3*x)**4,x)","- \frac{2512620 x^{4} + 2303235 x^{3} - 3054740 x^{2} - 4131175 x - 1210868}{32672808 x^{5} + 32672808 x^{4} - 13613670 x^{3} - 17546508 x^{2} + 1210104 x + 2420208} - \frac{7755 \log{\left(x - \frac{1}{2} \right)}}{117649} + \frac{7755 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(2512620*x**4 + 2303235*x**3 - 3054740*x**2 - 4131175*x - 1210868)/(32672808*x**5 + 32672808*x**4 - 13613670*x**3 - 17546508*x**2 + 1210104*x + 2420208) - 7755*log(x - 1/2)/117649 + 7755*log(x + 2/3)/117649","A",0
1670,1,75,0,0.219270," ","integrate((3+5*x)**3/(1-2*x)**3/(2+3*x)**5,x)","- \frac{38277360 x^{5} + 60605820 x^{4} + 8860500 x^{3} - 32767930 x^{2} - 21371408 x - 3991495}{457419312 x^{6} + 762365520 x^{5} + 114354828 x^{4} - 372712032 x^{3} - 146825952 x^{2} + 45177216 x + 22588608} - \frac{59070 \log{\left(x - \frac{1}{2} \right)}}{823543} + \frac{59070 \log{\left(x + \frac{2}{3} \right)}}{823543}"," ",0,"-(38277360*x**5 + 60605820*x**4 + 8860500*x**3 - 32767930*x**2 - 21371408*x - 3991495)/(457419312*x**6 + 762365520*x**5 + 114354828*x**4 - 372712032*x**3 - 146825952*x**2 + 45177216*x + 22588608) - 59070*log(x - 1/2)/823543 + 59070*log(x + 2/3)/823543","A",0
1671,1,65,0,0.195102," ","integrate((2+3*x)**8/(1-2*x)**3/(3+5*x),x)","- \frac{6561 x^{5}}{200} - \frac{408969 x^{4}}{1600} - \frac{124416 x^{3}}{125} - \frac{110180817 x^{2}}{40000} - \frac{2941619571 x}{400000} - \frac{313769883 - 754365388 x}{247808 x^{2} - 247808 x + 61952} - \frac{2644396573 \log{\left(x - \frac{1}{2} \right)}}{340736} + \frac{\log{\left(x + \frac{3}{5} \right)}}{20796875}"," ",0,"-6561*x**5/200 - 408969*x**4/1600 - 124416*x**3/125 - 110180817*x**2/40000 - 2941619571*x/400000 - (313769883 - 754365388*x)/(247808*x**2 - 247808*x + 61952) - 2644396573*log(x - 1/2)/340736 + log(x + 3/5)/20796875","A",0
1672,1,58,0,0.189317," ","integrate((2+3*x)**7/(1-2*x)**3/(3+5*x),x)","- \frac{2187 x^{4}}{160} - \frac{40581 x^{3}}{400} - \frac{792423 x^{2}}{2000} - \frac{26161299 x}{20000} - \frac{37059435 - 92236816 x}{123904 x^{2} - 123904 x + 30976} - \frac{269063263 \log{\left(x - \frac{1}{2} \right)}}{170368} + \frac{\log{\left(x + \frac{3}{5} \right)}}{4159375}"," ",0,"-2187*x**4/160 - 40581*x**3/400 - 792423*x**2/2000 - 26161299*x/20000 - (37059435 - 92236816*x)/(123904*x**2 - 123904*x + 30976) - 269063263*log(x - 1/2)/170368 + log(x + 3/5)/4159375","A",0
1673,1,51,0,0.184877," ","integrate((2+3*x)**6/(1-2*x)**3/(3+5*x),x)","- \frac{243 x^{3}}{40} - \frac{35721 x^{2}}{800} - \frac{102303 x}{500} - \frac{4184943 - 10958164 x}{61952 x^{2} - 61952 x + 15488} - \frac{12761315 \log{\left(x - \frac{1}{2} \right)}}{42592} + \frac{\log{\left(x + \frac{3}{5} \right)}}{831875}"," ",0,"-243*x**3/40 - 35721*x**2/800 - 102303*x/500 - (4184943 - 10958164*x)/(61952*x**2 - 61952*x + 15488) - 12761315*log(x - 1/2)/42592 + log(x + 3/5)/831875","A",0
1674,1,44,0,0.184027," ","integrate((2+3*x)**5/(1-2*x)**3/(3+5*x),x)","- \frac{243 x^{2}}{80} - \frac{10287 x}{400} - \frac{439383 - 1248520 x}{30976 x^{2} - 30976 x + 7744} - \frac{543655 \log{\left(x - \frac{1}{2} \right)}}{10648} + \frac{\log{\left(x + \frac{3}{5} \right)}}{166375}"," ",0,"-243*x**2/80 - 10287*x/400 - (439383 - 1248520*x)/(30976*x**2 - 30976*x + 7744) - 543655*log(x - 1/2)/10648 + log(x + 3/5)/166375","A",0
1675,1,37,0,0.177703," ","integrate((2+3*x)**4/(1-2*x)**3/(3+5*x),x)","- \frac{81 x}{40} - \frac{40131 - 133084 x}{15488 x^{2} - 15488 x + 3872} - \frac{153811 \log{\left(x - \frac{1}{2} \right)}}{21296} + \frac{\log{\left(x + \frac{3}{5} \right)}}{33275}"," ",0,"-81*x/40 - (40131 - 133084*x)/(15488*x**2 - 15488*x + 3872) - 153811*log(x - 1/2)/21296 + log(x + 3/5)/33275","A",0
1676,1,32,0,0.170887," ","integrate((2+3*x)**3/(1-2*x)**3/(3+5*x),x)","- \frac{2499 - 12544 x}{7744 x^{2} - 7744 x + 1936} - \frac{7189 \log{\left(x - \frac{1}{2} \right)}}{10648} + \frac{\log{\left(x + \frac{3}{5} \right)}}{6655}"," ",0,"-(2499 - 12544*x)/(7744*x**2 - 7744*x + 1936) - 7189*log(x - 1/2)/10648 + log(x + 3/5)/6655","A",0
1677,1,32,0,0.150137," ","integrate((2+3*x)**2/(1-2*x)**3/(3+5*x),x)","- \frac{- 868 x - 105}{3872 x^{2} - 3872 x + 968} - \frac{\log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{\log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"-(-868*x - 105)/(3872*x**2 - 3872*x + 968) - log(x - 1/2)/1331 + log(x + 3/5)/1331","A",0
1678,1,34,0,0.142855," ","integrate((2+3*x)/(1-2*x)**3/(3+5*x),x)","- \frac{8 x - 81}{1936 x^{2} - 1936 x + 484} - \frac{5 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{5 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"-(8*x - 81)/(1936*x**2 - 1936*x + 484) - 5*log(x - 1/2)/1331 + 5*log(x + 3/5)/1331","A",0
1679,1,34,0,0.157022," ","integrate(1/(1-2*x)**3/(3+5*x),x)","- \frac{20 x - 21}{968 x^{2} - 968 x + 242} - \frac{25 \log{\left(x - \frac{1}{2} \right)}}{1331} + \frac{25 \log{\left(x + \frac{3}{5} \right)}}{1331}"," ",0,"-(20*x - 21)/(968*x**2 - 968*x + 242) - 25*log(x - 1/2)/1331 + 25*log(x + 3/5)/1331","A",0
1680,1,44,0,0.219353," ","integrate(1/(1-2*x)**3/(2+3*x)/(3+5*x),x)","- \frac{272 x - 213}{23716 x^{2} - 23716 x + 5929} - \frac{6938 \log{\left(x - \frac{1}{2} \right)}}{456533} + \frac{125 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{27 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(272*x - 213)/(23716*x**2 - 23716*x + 5929) - 6938*log(x - 1/2)/456533 + 125*log(x + 3/5)/1331 - 27*log(x + 2/3)/343","A",0
1681,1,54,0,0.241709," ","integrate(1/(1-2*x)**3/(2+3*x)**2/(3+5*x),x)","- \frac{- 10644 x^{2} + 13010 x - 4383}{498036 x^{3} - 166012 x^{2} - 207515 x + 83006} - \frac{27208 \log{\left(x - \frac{1}{2} \right)}}{3195731} + \frac{625 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{1107 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(-10644*x**2 + 13010*x - 4383)/(498036*x**3 - 166012*x**2 - 207515*x + 83006) - 27208*log(x - 1/2)/3195731 + 625*log(x + 3/5)/1331 - 1107*log(x + 2/3)/2401","A",0
1682,1,65,0,0.243912," ","integrate(1/(1-2*x)**3/(2+3*x)**3/(3+5*x),x)","- \frac{- 3176136 x^{3} + 1006716 x^{2} + 1414978 x - 569697}{20917512 x^{4} + 6972504 x^{3} - 13363966 x^{2} - 2324168 x + 2324168} - \frac{89792 \log{\left(x - \frac{1}{2} \right)}}{22370117} + \frac{3125 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{39393 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(-3176136*x**3 + 1006716*x**2 + 1414978*x - 569697)/(20917512*x**4 + 6972504*x**3 - 13363966*x**2 - 2324168*x + 2324168) - 89792*log(x - 1/2)/22370117 + 3125*log(x + 3/5)/1331 - 39393*log(x + 2/3)/16807","A",0
1683,1,75,0,0.257883," ","integrate(1/(1-2*x)**3/(2+3*x)**4/(3+5*x),x)","- \frac{- 342903240 x^{4} - 125249220 x^{3} + 222614730 x^{2} + 43096225 x - 40167012}{439267752 x^{5} + 439267752 x^{4} - 183028230 x^{3} - 235903052 x^{2} + 16269176 x + 32538352} - \frac{267760 \log{\left(x - \frac{1}{2} \right)}}{156590819} + \frac{15625 \log{\left(x + \frac{3}{5} \right)}}{1331} - \frac{1380915 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(-342903240*x**4 - 125249220*x**3 + 222614730*x**2 + 43096225*x - 40167012)/(439267752*x**5 + 439267752*x**4 - 183028230*x**3 - 235903052*x**2 + 16269176*x + 32538352) - 267760*log(x - 1/2)/156590819 + 15625*log(x + 3/5)/1331 - 1380915*log(x + 2/3)/117649","A",0
1684,1,70,0,0.215313," ","integrate((2+3*x)**8/(1-2*x)**3/(3+5*x)**2,x)","- \frac{6561 x^{4}}{800} - \frac{123201 x^{3}}{2000} - \frac{4863159 x^{2}}{20000} - \frac{81001863 x}{100000} - \frac{- 49927294373976 x^{2} - 9946855297899 x + 12005712797131}{106480000000 x^{3} - 42592000000 x^{2} - 37268000000 x + 15972000000} - \frac{1845559863 \log{\left(x - \frac{1}{2} \right)}}{1874048} + \frac{54 \log{\left(x + \frac{3}{5} \right)}}{45753125}"," ",0,"-6561*x**4/800 - 123201*x**3/2000 - 4863159*x**2/20000 - 81001863*x/100000 - (-49927294373976*x**2 - 9946855297899*x + 12005712797131)/(106480000000*x**3 - 42592000000*x**2 - 37268000000*x + 15972000000) - 1845559863*log(x - 1/2)/1874048 + 54*log(x + 3/5)/45753125","A",0
1685,1,63,0,0.210344," ","integrate((2+3*x)**7/(1-2*x)**3/(3+5*x)**2,x)","- \frac{729 x^{3}}{200} - \frac{108621 x^{2}}{4000} - \frac{1258983 x}{10000} - \frac{- 1183843061988 x^{2} - 259930759887 x + 270225047003}{10648000000 x^{3} - 4259200000 x^{2} - 3726800000 x + 1597200000} - \frac{87177909 \log{\left(x - \frac{1}{2} \right)}}{468512} + \frac{237 \log{\left(x + \frac{3}{5} \right)}}{45753125}"," ",0,"-729*x**3/200 - 108621*x**2/4000 - 1258983*x/10000 - (-1183843061988*x**2 - 259930759887*x + 270225047003)/(10648000000*x**3 - 4259200000*x**2 - 3726800000*x + 1597200000) - 87177909*log(x - 1/2)/468512 + 237*log(x + 3/5)/45753125","A",0
1686,1,56,0,0.211535," ","integrate((2+3*x)**6/(1-2*x)**3/(3+5*x)**2,x)","- \frac{729 x^{2}}{400} - \frac{31347 x}{2000} - \frac{- 26891199744 x^{2} - 6733304631 x + 5640849439}{1064800000 x^{3} - 425920000 x^{2} - 372680000 x + 159720000} - \frac{7383075 \log{\left(x - \frac{1}{2} \right)}}{234256} + \frac{204 \log{\left(x + \frac{3}{5} \right)}}{9150625}"," ",0,"-729*x**2/400 - 31347*x/2000 - (-26891199744*x**2 - 6733304631*x + 5640849439)/(1064800000*x**3 - 425920000*x**2 - 372680000*x + 159720000) - 7383075*log(x - 1/2)/234256 + 204*log(x + 3/5)/9150625","A",0
1687,1,49,0,0.202299," ","integrate((2+3*x)**5/(1-2*x)**3/(3+5*x)**2,x)","- \frac{243 x}{200} - \frac{- 570237372 x^{2} - 172572003 x + 101742407}{106480000 x^{3} - 42592000 x^{2} - 37268000 x + 15972000} - \frac{1034145 \log{\left(x - \frac{1}{2} \right)}}{234256} + \frac{171 \log{\left(x + \frac{3}{5} \right)}}{1830125}"," ",0,"-243*x/200 - (-570237372*x**2 - 172572003*x + 101742407)/(106480000*x**3 - 42592000*x**2 - 37268000*x + 15972000) - 1034145*log(x - 1/2)/234256 + 171*log(x + 3/5)/1830125","A",0
1688,1,44,0,0.196067," ","integrate((2+3*x)**4/(1-2*x)**3/(3+5*x)**2,x)","- \frac{- 10632936 x^{2} - 4364739 x + 1209091}{10648000 x^{3} - 4259200 x^{2} - 3726800 x + 1597200} - \frac{47481 \log{\left(x - \frac{1}{2} \right)}}{117128} + \frac{138 \log{\left(x + \frac{3}{5} \right)}}{366025}"," ",0,"-(-10632936*x**2 - 4364739*x + 1209091)/(10648000*x**3 - 4259200*x**2 - 3726800*x + 1597200) - 47481*log(x - 1/2)/117128 + 138*log(x + 3/5)/366025","A",0
1689,1,46,0,0.178392," ","integrate((2+3*x)**3/(1-2*x)**3/(3+5*x)**2,x)","- \frac{- 142068 x^{2} - 108567 x - 13957}{1064800 x^{3} - 425920 x^{2} - 372680 x + 159720} - \frac{21 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{21 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"-(-142068*x**2 - 108567*x - 13957)/(1064800*x**3 - 425920*x**2 - 372680*x + 159720) - 21*log(x - 1/2)/14641 + 21*log(x + 3/5)/14641","A",0
1690,1,44,0,0.170926," ","integrate((2+3*x)**2/(1-2*x)**3/(3+5*x)**2,x)","- \frac{576 x^{2} - 2655 x - 1781}{106480 x^{3} - 42592 x^{2} - 37268 x + 15972} - \frac{72 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{72 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"-(576*x**2 - 2655*x - 1781)/(106480*x**3 - 42592*x**2 - 37268*x + 15972) - 72*log(x - 1/2)/14641 + 72*log(x + 3/5)/14641","A",0
1691,1,44,0,0.161585," ","integrate((2+3*x)/(1-2*x)**3/(3+5*x)**2,x)","- \frac{780 x^{2} - 351 x - 443}{53240 x^{3} - 21296 x^{2} - 18634 x + 7986} - \frac{195 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{195 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"-(780*x**2 - 351*x - 443)/(53240*x**3 - 21296*x**2 - 18634*x + 7986) - 195*log(x - 1/2)/14641 + 195*log(x + 3/5)/14641","A",0
1692,1,44,0,0.175420," ","integrate(1/(1-2*x)**3/(3+5*x)**2,x)","- \frac{300 x^{2} - 135 x - 68}{26620 x^{3} - 10648 x^{2} - 9317 x + 3993} - \frac{150 \log{\left(x - \frac{1}{2} \right)}}{14641} + \frac{150 \log{\left(x + \frac{3}{5} \right)}}{14641}"," ",0,"-(300*x**2 - 135*x - 68)/(26620*x**3 - 10648*x**2 - 9317*x + 3993) - 150*log(x - 1/2)/14641 + 150*log(x + 3/5)/14641","A",0
1693,1,54,0,0.229009," ","integrate(1/(1-2*x)**3/(2+3*x)/(3+5*x)**2,x)","- \frac{28620 x^{2} - 24858 x + 4427}{1304380 x^{3} - 521752 x^{2} - 456533 x + 195657} - \frac{28296 \log{\left(x - \frac{1}{2} \right)}}{5021863} - \frac{3375 \log{\left(x + \frac{3}{5} \right)}}{14641} + \frac{81 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(28620*x**2 - 24858*x + 4427)/(1304380*x**3 - 521752*x**2 - 456533*x + 195657) - 28296*log(x - 1/2)/5021863 - 3375*log(x + 3/5)/14641 + 81*log(x + 2/3)/343","A",0
1694,1,65,0,0.248188," ","integrate(1/(1-2*x)**3/(2+3*x)**2/(3+5*x)**2,x)","- \frac{4761360 x^{3} - 1699584 x^{2} - 1840020 x + 743807}{27391980 x^{4} + 7304528 x^{3} - 16891721 x^{2} - 2282665 x + 2739198} - \frac{92496 \log{\left(x - \frac{1}{2} \right)}}{35153041} - \frac{37500 \log{\left(x + \frac{3}{5} \right)}}{14641} + \frac{6156 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(4761360*x**3 - 1699584*x**2 - 1840020*x + 743807)/(27391980*x**4 + 7304528*x**3 - 16891721*x**2 - 2282665*x + 2739198) - 92496*log(x - 1/2)/35153041 - 37500*log(x + 3/5)/14641 + 6156*log(x + 2/3)/2401","A",0
1695,1,75,0,0.262265," ","integrate(1/(1-2*x)**3/(2+3*x)**3/(3+5*x)**2,x)","- \frac{1523948040 x^{4} + 458007084 x^{3} - 957482214 x^{2} - 147486147 x + 160532983}{1150463160 x^{5} + 1073765616 x^{4} - 504925498 x^{3} - 568840118 x^{2} + 51131696 x + 76697544} - \frac{274224 \log{\left(x - \frac{1}{2} \right)}}{246071287} - \frac{290625 \log{\left(x + \frac{3}{5} \right)}}{14641} + \frac{333639 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(1523948040*x**4 + 458007084*x**3 - 957482214*x**2 - 147486147*x + 160532983)/(1150463160*x**5 + 1073765616*x**4 - 504925498*x**3 - 568840118*x**2 + 51131696*x + 76697544) - 274224*log(x - 1/2)/246071287 - 290625*log(x + 3/5)/14641 + 333639*log(x + 2/3)/16807","A",0
1696,1,85,0,0.286317," ","integrate(1/(1-2*x)**3/(2+3*x)**4/(3+5*x)**2,x)","- \frac{108296789400 x^{5} + 104690324340 x^{4} - 46403447130 x^{3} - 55829767905 x^{2} + 4446481815 x + 7606921499}{12079863180 x^{6} + 19327781088 x^{5} + 2214641583 x^{4} - 9507299725 x^{3} - 3444998018 x^{2} + 1163246084 x + 536882808} - \frac{761760 \log{\left(x - \frac{1}{2} \right)}}{1722499009} - \frac{1968750 \log{\left(x + \frac{3}{5} \right)}}{14641} + \frac{15820110 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(108296789400*x**5 + 104690324340*x**4 - 46403447130*x**3 - 55829767905*x**2 + 4446481815*x + 7606921499)/(12079863180*x**6 + 19327781088*x**5 + 2214641583*x**4 - 9507299725*x**3 - 3444998018*x**2 + 1163246084*x + 536882808) - 761760*log(x - 1/2)/1722499009 - 1968750*log(x + 3/5)/14641 + 15820110*log(x + 2/3)/117649","A",0
1697,1,80,0,0.230933," ","integrate((2+3*x)**9/(1-2*x)**3/(3+5*x)**3,x)","- \frac{19683 x^{4}}{4000} - \frac{373977 x^{3}}{10000} - \frac{7459857 x^{2}}{50000} - \frac{50150097 x}{100000} - \frac{- 8647201498448640 x^{3} - 6920013076005537 x^{2} + 1034961928982642 x + 1244386341093487}{29282000000000 x^{4} + 5856400000000 x^{3} - 17276380000000 x^{2} - 1756920000000 x + 2635380000000} - \frac{12657032367 \log{\left(x - \frac{1}{2} \right)}}{20614528} + \frac{8202 \log{\left(x + \frac{3}{5} \right)}}{2516421875}"," ",0,"-19683*x**4/4000 - 373977*x**3/10000 - 7459857*x**2/50000 - 50150097*x/100000 - (-8647201498448640*x**3 - 6920013076005537*x**2 + 1034961928982642*x + 1244386341093487)/(29282000000000*x**4 + 5856400000000*x**3 - 17276380000000*x**2 - 1756920000000*x + 2635380000000) - 12657032367*log(x - 1/2)/20614528 + 8202*log(x + 3/5)/2516421875","A",0
1698,1,73,0,0.228632," ","integrate((2+3*x)**8/(1-2*x)**3/(3+5*x)**3,x)","- \frac{2187 x^{3}}{1000} - \frac{330237 x^{2}}{20000} - \frac{242028 x}{3125} - \frac{- 204598963371300 x^{3} - 167989904414289 x^{2} + 19378995974014 x + 27910387088759}{2928200000000 x^{4} + 585640000000 x^{3} - 1727638000000 x^{2} - 175692000000 x + 263538000000} - \frac{595421589 \log{\left(x - \frac{1}{2} \right)}}{5153632} + \frac{1284 \log{\left(x + \frac{3}{5} \right)}}{100656875}"," ",0,"-2187*x**3/1000 - 330237*x**2/20000 - 242028*x/3125 - (-204598963371300*x**3 - 167989904414289*x**2 + 19378995974014*x + 27910387088759)/(2928200000000*x**4 + 585640000000*x**3 - 1727638000000*x**2 - 175692000000*x + 263538000000) - 595421589*log(x - 1/2)/5153632 + 1284*log(x + 3/5)/100656875","A",0
1699,1,66,0,0.223495," ","integrate((2+3*x)**7/(1-2*x)**3/(3+5*x)**3,x)","- \frac{2187 x^{2}}{2000} - \frac{95499 x}{10000} - \frac{- 4632429071640 x^{3} - 3950432948061 x^{2} + 262504223666 x + 579053717731}{292820000000 x^{4} + 58564000000 x^{3} - 172763800000 x^{2} - 17569200000 x + 26353800000} - \frac{25059237 \log{\left(x - \frac{1}{2} \right)}}{1288408} + \frac{24279 \log{\left(x + \frac{3}{5} \right)}}{503284375}"," ",0,"-2187*x**2/2000 - 95499*x/10000 - (-4632429071640*x**3 - 3950432948061*x**2 + 262504223666*x + 579053717731)/(292820000000*x**4 + 58564000000*x**3 - 172763800000*x**2 - 17569200000*x + 26353800000) - 25059237*log(x - 1/2)/1288408 + 24279*log(x + 3/5)/503284375","A",0
1700,1,60,0,0.214897," ","integrate((2+3*x)**6/(1-2*x)**3/(3+5*x)**3,x)","- \frac{729 x}{1000} - \frac{- 19538111388 x^{3} - 17720890929 x^{2} - 163877530 x + 2060962327}{5856400000 x^{4} + 1171280000 x^{3} - 3455276000 x^{2} - 351384000 x + 527076000} - \frac{6950895 \log{\left(x - \frac{1}{2} \right)}}{2576816} + \frac{17547 \log{\left(x + \frac{3}{5} \right)}}{100656875}"," ",0,"-729*x/1000 - (-19538111388*x**3 - 17720890929*x**2 - 163877530*x + 2060962327)/(5856400000*x**4 + 1171280000*x**3 - 3455276000*x**2 - 351384000*x + 527076000) - 6950895*log(x - 1/2)/2576816 + 17547*log(x + 3/5)/100656875","A",0
1701,1,54,0,0.210283," ","integrate((2+3*x)**5/(1-2*x)**3/(3+5*x)**3,x)","- \frac{- 1800695280 x^{3} - 1838287161 x^{2} - 261128254 x + 116156671}{2928200000 x^{4} + 585640000 x^{3} - 1727638000 x^{2} - 175692000 x + 263538000} - \frac{313845 \log{\left(x - \frac{1}{2} \right)}}{1288408} + \frac{11904 \log{\left(x + \frac{3}{5} \right)}}{20131375}"," ",0,"-(-1800695280*x**3 - 1838287161*x**2 - 261128254*x + 116156671)/(2928200000*x**4 + 585640000*x**3 - 1727638000*x**2 - 175692000*x + 263538000) - 313845*log(x - 1/2)/1288408 + 11904*log(x + 3/5)/20131375","A",0
1702,1,56,0,0.193305," ","integrate((2+3*x)**4/(1-2*x)**3/(3+5*x)**3,x)","- \frac{- 23130420 x^{3} - 32722281 x^{2} - 14259554 x - 1771669}{292820000 x^{4} + 58564000 x^{3} - 172763800 x^{2} - 17569200 x + 26353800} - \frac{294 \log{\left(x - \frac{1}{2} \right)}}{161051} + \frac{294 \log{\left(x + \frac{3}{5} \right)}}{161051}"," ",0,"-(-23130420*x**3 - 32722281*x**2 - 14259554*x - 1771669)/(292820000*x**4 + 58564000*x**3 - 172763800*x**2 - 17569200*x + 26353800) - 294*log(x - 1/2)/161051 + 294*log(x + 3/5)/161051","A",0
1703,1,54,0,0.188115," ","integrate((2+3*x)**3/(1-2*x)**3/(3+5*x)**3,x)","- \frac{155400 x^{3} - 371997 x^{2} - 604258 x - 194963}{29282000 x^{4} + 5856400 x^{3} - 17276380 x^{2} - 1756920 x + 2635380} - \frac{777 \log{\left(x - \frac{1}{2} \right)}}{161051} + \frac{777 \log{\left(x + \frac{3}{5} \right)}}{161051}"," ",0,"-(155400*x**3 - 371997*x**2 - 604258*x - 194963)/(29282000*x**4 + 5856400*x**3 - 17276380*x**2 - 1756920*x + 2635380) - 777*log(x - 1/2)/161051 + 777*log(x + 3/5)/161051","A",0
1704,1,54,0,0.181606," ","integrate((2+3*x)**2/(1-2*x)**3/(3+5*x)**3,x)","- \frac{30180 x^{3} + 4527 x^{2} - 23774 x - 9322}{2928200 x^{4} + 585640 x^{3} - 1727638 x^{2} - 175692 x + 263538} - \frac{1509 \log{\left(x - \frac{1}{2} \right)}}{161051} + \frac{1509 \log{\left(x + \frac{3}{5} \right)}}{161051}"," ",0,"-(30180*x**3 + 4527*x**2 - 23774*x - 9322)/(2928200*x**4 + 585640*x**3 - 1727638*x**2 - 175692*x + 263538) - 1509*log(x - 1/2)/161051 + 1509*log(x + 3/5)/161051","A",0
1705,1,54,0,0.175993," ","integrate((2+3*x)/(1-2*x)**3/(3+5*x)**3,x)","- \frac{22200 x^{3} + 3330 x^{2} - 11026 x - 2753}{2928200 x^{4} + 585640 x^{3} - 1727638 x^{2} - 175692 x + 263538} - \frac{1110 \log{\left(x - \frac{1}{2} \right)}}{161051} + \frac{1110 \log{\left(x + \frac{3}{5} \right)}}{161051}"," ",0,"-(22200*x**3 + 3330*x**2 - 11026*x - 2753)/(2928200*x**4 + 585640*x**3 - 1727638*x**2 - 175692*x + 263538) - 1110*log(x - 1/2)/161051 + 1110*log(x + 3/5)/161051","A",0
1706,1,54,0,0.183171," ","integrate(1/(1-2*x)**3/(3+5*x)**3,x)","- \frac{12000 x^{3} + 1800 x^{2} - 5960 x - 301}{2928200 x^{4} + 585640 x^{3} - 1727638 x^{2} - 175692 x + 263538} - \frac{600 \log{\left(x - \frac{1}{2} \right)}}{161051} + \frac{600 \log{\left(x + \frac{3}{5} \right)}}{161051}"," ",0,"-(12000*x**3 + 1800*x**2 - 5960*x - 301)/(2928200*x**4 + 585640*x**3 - 1727638*x**2 - 175692*x + 263538) - 600*log(x - 1/2)/161051 + 600*log(x + 3/5)/161051","A",0
1707,1,65,0,0.240771," ","integrate(1/(1-2*x)**3/(2+3*x)/(3+5*x)**3,x)","- \frac{- 6504600 x^{3} + 2977380 x^{2} + 2000774 x - 950291}{143481800 x^{4} + 28696360 x^{3} - 84654262 x^{2} - 8608908 x + 12913362} - \frac{95232 \log{\left(x - \frac{1}{2} \right)}}{55240493} + \frac{114375 \log{\left(x + \frac{3}{5} \right)}}{161051} - \frac{243 \log{\left(x + \frac{2}{3} \right)}}{343}"," ",0,"-(-6504600*x**3 + 2977380*x**2 + 2000774*x - 950291)/(143481800*x**4 + 28696360*x**3 - 84654262*x**2 - 8608908*x + 12913362) - 95232*log(x - 1/2)/55240493 + 114375*log(x + 3/5)/161051 - 243*log(x + 2/3)/343","A",0
1708,1,75,0,0.274786," ","integrate(1/(1-2*x)**3/(2+3*x)**2/(3+5*x)**3,x)","- \frac{- 2254231800 x^{4} - 524583660 x^{3} + 1362222102 x^{2} + 159141275 x - 213794156}{3013117800 x^{5} + 2611368760 x^{4} - 1375990462 x^{3} - 1365946736 x^{2} + 150655890 x + 180787068} - \frac{280752 \log{\left(x - \frac{1}{2} \right)}}{386683451} + \frac{1809375 \log{\left(x + \frac{3}{5} \right)}}{161051} - \frac{26973 \log{\left(x + \frac{2}{3} \right)}}{2401}"," ",0,"-(-2254231800*x**4 - 524583660*x**3 + 1362222102*x**2 + 159141275*x - 213794156)/(3013117800*x**5 + 2611368760*x**4 - 1375990462*x**3 - 1365946736*x**2 + 150655890*x + 180787068) - 280752*log(x - 1/2)/386683451 + 1809375*log(x + 3/5)/161051 - 26973*log(x + 2/3)/2401","A",0
1709,1,85,0,0.281029," ","integrate(1/(1-2*x)**3/(2+3*x)**3/(3+5*x)**3,x)","- \frac{- 488145765600 x^{5} - 439319535120 x^{4} + 218954328504 x^{3} + 231191334456 x^{2} - 23195310772 x - 30858356237}{63275473800 x^{6} + 97022393160 x^{5} + 7663362938 x^{4} - 47948747924 x^{3} - 15959480614 x^{2} + 5905710888 x + 2531018952} - \frac{776928 \log{\left(x - \frac{1}{2} \right)}}{2706784157} + \frac{18637500 \log{\left(x + \frac{3}{5} \right)}}{161051} - \frac{1944972 \log{\left(x + \frac{2}{3} \right)}}{16807}"," ",0,"-(-488145765600*x**5 - 439319535120*x**4 + 218954328504*x**3 + 231191334456*x**2 - 23195310772*x - 30858356237)/(63275473800*x**6 + 97022393160*x**5 + 7663362938*x**4 - 47948747924*x**3 - 15959480614*x**2 + 5905710888*x + 2531018952) - 776928*log(x - 1/2)/2706784157 + 18637500*log(x + 3/5)/161051 - 1944972*log(x + 2/3)/16807","A",0
1710,1,95,0,0.305215," ","integrate(1/(1-2*x)**3/(2+3*x)**4/(3+5*x)**3,x)","- \frac{- 86993245890000 x^{6} - 136289326113000 x^{5} - 13177709631900 x^{4} + 67213599053550 x^{3} + 23334840827100 x^{2} - 8254486652965 x - 3666255393392}{1328784949800 x^{7} + 2923326889560 x^{6} + 1519244125938 x^{5} - 899636625272 x^{4} - 1006431563830 x^{3} - 99412799948 x^{2} + 135831350424 x + 35434265328} - \frac{2054400 \log{\left(x - \frac{1}{2} \right)}}{18947489099} + \frac{158156250 \log{\left(x + \frac{3}{5} \right)}}{161051} - \frac{115534350 \log{\left(x + \frac{2}{3} \right)}}{117649}"," ",0,"-(-86993245890000*x**6 - 136289326113000*x**5 - 13177709631900*x**4 + 67213599053550*x**3 + 23334840827100*x**2 - 8254486652965*x - 3666255393392)/(1328784949800*x**7 + 2923326889560*x**6 + 1519244125938*x**5 - 899636625272*x**4 - 1006431563830*x**3 - 99412799948*x**2 + 135831350424*x + 35434265328) - 2054400*log(x - 1/2)/18947489099 + 158156250*log(x + 3/5)/161051 - 115534350*log(x + 2/3)/117649","A",0
1711,1,1018,0,0.193730," ","integrate((b*x+a)**3*(d*x+c)**3*(f*x+e)**3,x)","a^{3} c^{3} e^{3} x + \frac{b^{3} d^{3} f^{3} x^{10}}{10} + x^{9} \left(\frac{a b^{2} d^{3} f^{3}}{3} + \frac{b^{3} c d^{2} f^{3}}{3} + \frac{b^{3} d^{3} e f^{2}}{3}\right) + x^{8} \left(\frac{3 a^{2} b d^{3} f^{3}}{8} + \frac{9 a b^{2} c d^{2} f^{3}}{8} + \frac{9 a b^{2} d^{3} e f^{2}}{8} + \frac{3 b^{3} c^{2} d f^{3}}{8} + \frac{9 b^{3} c d^{2} e f^{2}}{8} + \frac{3 b^{3} d^{3} e^{2} f}{8}\right) + x^{7} \left(\frac{a^{3} d^{3} f^{3}}{7} + \frac{9 a^{2} b c d^{2} f^{3}}{7} + \frac{9 a^{2} b d^{3} e f^{2}}{7} + \frac{9 a b^{2} c^{2} d f^{3}}{7} + \frac{27 a b^{2} c d^{2} e f^{2}}{7} + \frac{9 a b^{2} d^{3} e^{2} f}{7} + \frac{b^{3} c^{3} f^{3}}{7} + \frac{9 b^{3} c^{2} d e f^{2}}{7} + \frac{9 b^{3} c d^{2} e^{2} f}{7} + \frac{b^{3} d^{3} e^{3}}{7}\right) + x^{6} \left(\frac{a^{3} c d^{2} f^{3}}{2} + \frac{a^{3} d^{3} e f^{2}}{2} + \frac{3 a^{2} b c^{2} d f^{3}}{2} + \frac{9 a^{2} b c d^{2} e f^{2}}{2} + \frac{3 a^{2} b d^{3} e^{2} f}{2} + \frac{a b^{2} c^{3} f^{3}}{2} + \frac{9 a b^{2} c^{2} d e f^{2}}{2} + \frac{9 a b^{2} c d^{2} e^{2} f}{2} + \frac{a b^{2} d^{3} e^{3}}{2} + \frac{b^{3} c^{3} e f^{2}}{2} + \frac{3 b^{3} c^{2} d e^{2} f}{2} + \frac{b^{3} c d^{2} e^{3}}{2}\right) + x^{5} \left(\frac{3 a^{3} c^{2} d f^{3}}{5} + \frac{9 a^{3} c d^{2} e f^{2}}{5} + \frac{3 a^{3} d^{3} e^{2} f}{5} + \frac{3 a^{2} b c^{3} f^{3}}{5} + \frac{27 a^{2} b c^{2} d e f^{2}}{5} + \frac{27 a^{2} b c d^{2} e^{2} f}{5} + \frac{3 a^{2} b d^{3} e^{3}}{5} + \frac{9 a b^{2} c^{3} e f^{2}}{5} + \frac{27 a b^{2} c^{2} d e^{2} f}{5} + \frac{9 a b^{2} c d^{2} e^{3}}{5} + \frac{3 b^{3} c^{3} e^{2} f}{5} + \frac{3 b^{3} c^{2} d e^{3}}{5}\right) + x^{4} \left(\frac{a^{3} c^{3} f^{3}}{4} + \frac{9 a^{3} c^{2} d e f^{2}}{4} + \frac{9 a^{3} c d^{2} e^{2} f}{4} + \frac{a^{3} d^{3} e^{3}}{4} + \frac{9 a^{2} b c^{3} e f^{2}}{4} + \frac{27 a^{2} b c^{2} d e^{2} f}{4} + \frac{9 a^{2} b c d^{2} e^{3}}{4} + \frac{9 a b^{2} c^{3} e^{2} f}{4} + \frac{9 a b^{2} c^{2} d e^{3}}{4} + \frac{b^{3} c^{3} e^{3}}{4}\right) + x^{3} \left(a^{3} c^{3} e f^{2} + 3 a^{3} c^{2} d e^{2} f + a^{3} c d^{2} e^{3} + 3 a^{2} b c^{3} e^{2} f + 3 a^{2} b c^{2} d e^{3} + a b^{2} c^{3} e^{3}\right) + x^{2} \left(\frac{3 a^{3} c^{3} e^{2} f}{2} + \frac{3 a^{3} c^{2} d e^{3}}{2} + \frac{3 a^{2} b c^{3} e^{3}}{2}\right)"," ",0,"a**3*c**3*e**3*x + b**3*d**3*f**3*x**10/10 + x**9*(a*b**2*d**3*f**3/3 + b**3*c*d**2*f**3/3 + b**3*d**3*e*f**2/3) + x**8*(3*a**2*b*d**3*f**3/8 + 9*a*b**2*c*d**2*f**3/8 + 9*a*b**2*d**3*e*f**2/8 + 3*b**3*c**2*d*f**3/8 + 9*b**3*c*d**2*e*f**2/8 + 3*b**3*d**3*e**2*f/8) + x**7*(a**3*d**3*f**3/7 + 9*a**2*b*c*d**2*f**3/7 + 9*a**2*b*d**3*e*f**2/7 + 9*a*b**2*c**2*d*f**3/7 + 27*a*b**2*c*d**2*e*f**2/7 + 9*a*b**2*d**3*e**2*f/7 + b**3*c**3*f**3/7 + 9*b**3*c**2*d*e*f**2/7 + 9*b**3*c*d**2*e**2*f/7 + b**3*d**3*e**3/7) + x**6*(a**3*c*d**2*f**3/2 + a**3*d**3*e*f**2/2 + 3*a**2*b*c**2*d*f**3/2 + 9*a**2*b*c*d**2*e*f**2/2 + 3*a**2*b*d**3*e**2*f/2 + a*b**2*c**3*f**3/2 + 9*a*b**2*c**2*d*e*f**2/2 + 9*a*b**2*c*d**2*e**2*f/2 + a*b**2*d**3*e**3/2 + b**3*c**3*e*f**2/2 + 3*b**3*c**2*d*e**2*f/2 + b**3*c*d**2*e**3/2) + x**5*(3*a**3*c**2*d*f**3/5 + 9*a**3*c*d**2*e*f**2/5 + 3*a**3*d**3*e**2*f/5 + 3*a**2*b*c**3*f**3/5 + 27*a**2*b*c**2*d*e*f**2/5 + 27*a**2*b*c*d**2*e**2*f/5 + 3*a**2*b*d**3*e**3/5 + 9*a*b**2*c**3*e*f**2/5 + 27*a*b**2*c**2*d*e**2*f/5 + 9*a*b**2*c*d**2*e**3/5 + 3*b**3*c**3*e**2*f/5 + 3*b**3*c**2*d*e**3/5) + x**4*(a**3*c**3*f**3/4 + 9*a**3*c**2*d*e*f**2/4 + 9*a**3*c*d**2*e**2*f/4 + a**3*d**3*e**3/4 + 9*a**2*b*c**3*e*f**2/4 + 27*a**2*b*c**2*d*e**2*f/4 + 9*a**2*b*c*d**2*e**3/4 + 9*a*b**2*c**3*e**2*f/4 + 9*a*b**2*c**2*d*e**3/4 + b**3*c**3*e**3/4) + x**3*(a**3*c**3*e*f**2 + 3*a**3*c**2*d*e**2*f + a**3*c*d**2*e**3 + 3*a**2*b*c**3*e**2*f + 3*a**2*b*c**2*d*e**3 + a*b**2*c**3*e**3) + x**2*(3*a**3*c**3*e**2*f/2 + 3*a**3*c**2*d*e**3/2 + 3*a**2*b*c**3*e**3/2)","B",0
1712,1,345,0,0.121602," ","integrate((b*x+a)**2*(d*x+c)**2*(f*x+e)**2,x)","a^{2} c^{2} e^{2} x + \frac{b^{2} d^{2} f^{2} x^{7}}{7} + x^{6} \left(\frac{a b d^{2} f^{2}}{3} + \frac{b^{2} c d f^{2}}{3} + \frac{b^{2} d^{2} e f}{3}\right) + x^{5} \left(\frac{a^{2} d^{2} f^{2}}{5} + \frac{4 a b c d f^{2}}{5} + \frac{4 a b d^{2} e f}{5} + \frac{b^{2} c^{2} f^{2}}{5} + \frac{4 b^{2} c d e f}{5} + \frac{b^{2} d^{2} e^{2}}{5}\right) + x^{4} \left(\frac{a^{2} c d f^{2}}{2} + \frac{a^{2} d^{2} e f}{2} + \frac{a b c^{2} f^{2}}{2} + 2 a b c d e f + \frac{a b d^{2} e^{2}}{2} + \frac{b^{2} c^{2} e f}{2} + \frac{b^{2} c d e^{2}}{2}\right) + x^{3} \left(\frac{a^{2} c^{2} f^{2}}{3} + \frac{4 a^{2} c d e f}{3} + \frac{a^{2} d^{2} e^{2}}{3} + \frac{4 a b c^{2} e f}{3} + \frac{4 a b c d e^{2}}{3} + \frac{b^{2} c^{2} e^{2}}{3}\right) + x^{2} \left(a^{2} c^{2} e f + a^{2} c d e^{2} + a b c^{2} e^{2}\right)"," ",0,"a**2*c**2*e**2*x + b**2*d**2*f**2*x**7/7 + x**6*(a*b*d**2*f**2/3 + b**2*c*d*f**2/3 + b**2*d**2*e*f/3) + x**5*(a**2*d**2*f**2/5 + 4*a*b*c*d*f**2/5 + 4*a*b*d**2*e*f/5 + b**2*c**2*f**2/5 + 4*b**2*c*d*e*f/5 + b**2*d**2*e**2/5) + x**4*(a**2*c*d*f**2/2 + a**2*d**2*e*f/2 + a*b*c**2*f**2/2 + 2*a*b*c*d*e*f + a*b*d**2*e**2/2 + b**2*c**2*e*f/2 + b**2*c*d*e**2/2) + x**3*(a**2*c**2*f**2/3 + 4*a**2*c*d*e*f/3 + a**2*d**2*e**2/3 + 4*a*b*c**2*e*f/3 + 4*a*b*c*d*e**2/3 + b**2*c**2*e**2/3) + x**2*(a**2*c**2*e*f + a**2*c*d*e**2 + a*b*c**2*e**2)","A",0
1713,1,63,0,0.068016," ","integrate((b*x+a)*(d*x+c)*(f*x+e),x)","a c e x + \frac{b d f x^{4}}{4} + x^{3} \left(\frac{a d f}{3} + \frac{b c f}{3} + \frac{b d e}{3}\right) + x^{2} \left(\frac{a c f}{2} + \frac{a d e}{2} + \frac{b c e}{2}\right)"," ",0,"a*c*e*x + b*d*f*x**4/4 + x**3*(a*d*f/3 + b*c*f/3 + b*d*e/3) + x**2*(a*c*f/2 + a*d*e/2 + b*c*e/2)","A",0
1714,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1715,-1,0,0,0.000000," ","integrate(1/(b*x+a)**2/(d*x+c)**2/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1716,-1,0,0,0.000000," ","integrate(1/(b*x+a)**3/(d*x+c)**3/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1717,-1,0,0,0.000000," ","integrate((d*x+c)**(3/2)/(b*x+a)**2/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1718,1,578,0,7.959915," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**(7/2),x)","\begin{cases} \frac{2 A a d^{4} \sqrt{d + e x}}{9 e} + \frac{8 A a d^{3} x \sqrt{d + e x}}{9} + \frac{4 A a d^{2} e x^{2} \sqrt{d + e x}}{3} + \frac{8 A a d e^{2} x^{3} \sqrt{d + e x}}{9} + \frac{2 A a e^{3} x^{4} \sqrt{d + e x}}{9} - \frac{4 A b d^{5} \sqrt{d + e x}}{99 e^{2}} + \frac{2 A b d^{4} x \sqrt{d + e x}}{99 e} + \frac{16 A b d^{3} x^{2} \sqrt{d + e x}}{33} + \frac{92 A b d^{2} e x^{3} \sqrt{d + e x}}{99} + \frac{68 A b d e^{2} x^{4} \sqrt{d + e x}}{99} + \frac{2 A b e^{3} x^{5} \sqrt{d + e x}}{11} - \frac{4 B a d^{5} \sqrt{d + e x}}{99 e^{2}} + \frac{2 B a d^{4} x \sqrt{d + e x}}{99 e} + \frac{16 B a d^{3} x^{2} \sqrt{d + e x}}{33} + \frac{92 B a d^{2} e x^{3} \sqrt{d + e x}}{99} + \frac{68 B a d e^{2} x^{4} \sqrt{d + e x}}{99} + \frac{2 B a e^{3} x^{5} \sqrt{d + e x}}{11} + \frac{16 B b d^{6} \sqrt{d + e x}}{1287 e^{3}} - \frac{8 B b d^{5} x \sqrt{d + e x}}{1287 e^{2}} + \frac{2 B b d^{4} x^{2} \sqrt{d + e x}}{429 e} + \frac{424 B b d^{3} x^{3} \sqrt{d + e x}}{1287} + \frac{916 B b d^{2} e x^{4} \sqrt{d + e x}}{1287} + \frac{80 B b d e^{2} x^{5} \sqrt{d + e x}}{143} + \frac{2 B b e^{3} x^{6} \sqrt{d + e x}}{13} & \text{for}\: e \neq 0 \\d^{\frac{7}{2}} \left(A a x + \frac{A b x^{2}}{2} + \frac{B a x^{2}}{2} + \frac{B b x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a*d**4*sqrt(d + e*x)/(9*e) + 8*A*a*d**3*x*sqrt(d + e*x)/9 + 4*A*a*d**2*e*x**2*sqrt(d + e*x)/3 + 8*A*a*d*e**2*x**3*sqrt(d + e*x)/9 + 2*A*a*e**3*x**4*sqrt(d + e*x)/9 - 4*A*b*d**5*sqrt(d + e*x)/(99*e**2) + 2*A*b*d**4*x*sqrt(d + e*x)/(99*e) + 16*A*b*d**3*x**2*sqrt(d + e*x)/33 + 92*A*b*d**2*e*x**3*sqrt(d + e*x)/99 + 68*A*b*d*e**2*x**4*sqrt(d + e*x)/99 + 2*A*b*e**3*x**5*sqrt(d + e*x)/11 - 4*B*a*d**5*sqrt(d + e*x)/(99*e**2) + 2*B*a*d**4*x*sqrt(d + e*x)/(99*e) + 16*B*a*d**3*x**2*sqrt(d + e*x)/33 + 92*B*a*d**2*e*x**3*sqrt(d + e*x)/99 + 68*B*a*d*e**2*x**4*sqrt(d + e*x)/99 + 2*B*a*e**3*x**5*sqrt(d + e*x)/11 + 16*B*b*d**6*sqrt(d + e*x)/(1287*e**3) - 8*B*b*d**5*x*sqrt(d + e*x)/(1287*e**2) + 2*B*b*d**4*x**2*sqrt(d + e*x)/(429*e) + 424*B*b*d**3*x**3*sqrt(d + e*x)/1287 + 916*B*b*d**2*e*x**4*sqrt(d + e*x)/1287 + 80*B*b*d*e**2*x**5*sqrt(d + e*x)/143 + 2*B*b*e**3*x**6*sqrt(d + e*x)/13, Ne(e, 0)), (d**(7/2)*(A*a*x + A*b*x**2/2 + B*a*x**2/2 + B*b*x**3/3), True))","A",0
1719,1,476,0,3.664261," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**(5/2),x)","\begin{cases} \frac{2 A a d^{3} \sqrt{d + e x}}{7 e} + \frac{6 A a d^{2} x \sqrt{d + e x}}{7} + \frac{6 A a d e x^{2} \sqrt{d + e x}}{7} + \frac{2 A a e^{2} x^{3} \sqrt{d + e x}}{7} - \frac{4 A b d^{4} \sqrt{d + e x}}{63 e^{2}} + \frac{2 A b d^{3} x \sqrt{d + e x}}{63 e} + \frac{10 A b d^{2} x^{2} \sqrt{d + e x}}{21} + \frac{38 A b d e x^{3} \sqrt{d + e x}}{63} + \frac{2 A b e^{2} x^{4} \sqrt{d + e x}}{9} - \frac{4 B a d^{4} \sqrt{d + e x}}{63 e^{2}} + \frac{2 B a d^{3} x \sqrt{d + e x}}{63 e} + \frac{10 B a d^{2} x^{2} \sqrt{d + e x}}{21} + \frac{38 B a d e x^{3} \sqrt{d + e x}}{63} + \frac{2 B a e^{2} x^{4} \sqrt{d + e x}}{9} + \frac{16 B b d^{5} \sqrt{d + e x}}{693 e^{3}} - \frac{8 B b d^{4} x \sqrt{d + e x}}{693 e^{2}} + \frac{2 B b d^{3} x^{2} \sqrt{d + e x}}{231 e} + \frac{226 B b d^{2} x^{3} \sqrt{d + e x}}{693} + \frac{46 B b d e x^{4} \sqrt{d + e x}}{99} + \frac{2 B b e^{2} x^{5} \sqrt{d + e x}}{11} & \text{for}\: e \neq 0 \\d^{\frac{5}{2}} \left(A a x + \frac{A b x^{2}}{2} + \frac{B a x^{2}}{2} + \frac{B b x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a*d**3*sqrt(d + e*x)/(7*e) + 6*A*a*d**2*x*sqrt(d + e*x)/7 + 6*A*a*d*e*x**2*sqrt(d + e*x)/7 + 2*A*a*e**2*x**3*sqrt(d + e*x)/7 - 4*A*b*d**4*sqrt(d + e*x)/(63*e**2) + 2*A*b*d**3*x*sqrt(d + e*x)/(63*e) + 10*A*b*d**2*x**2*sqrt(d + e*x)/21 + 38*A*b*d*e*x**3*sqrt(d + e*x)/63 + 2*A*b*e**2*x**4*sqrt(d + e*x)/9 - 4*B*a*d**4*sqrt(d + e*x)/(63*e**2) + 2*B*a*d**3*x*sqrt(d + e*x)/(63*e) + 10*B*a*d**2*x**2*sqrt(d + e*x)/21 + 38*B*a*d*e*x**3*sqrt(d + e*x)/63 + 2*B*a*e**2*x**4*sqrt(d + e*x)/9 + 16*B*b*d**5*sqrt(d + e*x)/(693*e**3) - 8*B*b*d**4*x*sqrt(d + e*x)/(693*e**2) + 2*B*b*d**3*x**2*sqrt(d + e*x)/(231*e) + 226*B*b*d**2*x**3*sqrt(d + e*x)/693 + 46*B*b*d*e*x**4*sqrt(d + e*x)/99 + 2*B*b*e**2*x**5*sqrt(d + e*x)/11, Ne(e, 0)), (d**(5/2)*(A*a*x + A*b*x**2/2 + B*a*x**2/2 + B*b*x**3/3), True))","A",0
1720,1,318,0,13.746373," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**(3/2),x)","A a d \left(\begin{cases} \sqrt{d} x & \text{for}\: e = 0 \\\frac{2 \left(d + e x\right)^{\frac{3}{2}}}{3 e} & \text{otherwise} \end{cases}\right) + \frac{2 A a \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e} + \frac{2 A b d \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{2 A b \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{2 B a d \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{2 B a \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{2 B b d \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} + \frac{2 B b \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{3}}"," ",0,"A*a*d*Piecewise((sqrt(d)*x, Eq(e, 0)), (2*(d + e*x)**(3/2)/(3*e), True)) + 2*A*a*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e + 2*A*b*d*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 2*A*b*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 2*B*a*d*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 2*B*a*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 2*B*b*d*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**3 + 2*B*b*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**3","A",0
1721,1,94,0,3.698594," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**(1/2),x)","\frac{2 \left(\frac{B b \left(d + e x\right)^{\frac{7}{2}}}{7 e^{2}} + \frac{\left(d + e x\right)^{\frac{5}{2}} \left(A b e + B a e - 2 B b d\right)}{5 e^{2}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(A a e^{2} - A b d e - B a d e + B b d^{2}\right)}{3 e^{2}}\right)}{e}"," ",0,"2*(B*b*(d + e*x)**(7/2)/(7*e**2) + (d + e*x)**(5/2)*(A*b*e + B*a*e - 2*B*b*d)/(5*e**2) + (d + e*x)**(3/2)*(A*a*e**2 - A*b*d*e - B*a*d*e + B*b*d**2)/(3*e**2))/e","A",0
1722,1,311,0,26.716759," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a d}{\sqrt{d + e x}} - 2 A a \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right) - \frac{2 A b d \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right)}{e} - \frac{2 A b \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e} - \frac{2 B a d \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right)}{e} - \frac{2 B a \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e} - \frac{2 B b d \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e^{2}} - \frac{2 B b \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}}}{e} & \text{for}\: e \neq 0 \\\frac{A a x + \frac{B b x^{3}}{3} + \frac{x^{2} \left(A b + B a\right)}{2}}{\sqrt{d}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a*d/sqrt(d + e*x) - 2*A*a*(-d/sqrt(d + e*x) - sqrt(d + e*x)) - 2*A*b*d*(-d/sqrt(d + e*x) - sqrt(d + e*x))/e - 2*A*b*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e - 2*B*a*d*(-d/sqrt(d + e*x) - sqrt(d + e*x))/e - 2*B*a*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e - 2*B*b*d*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e**2 - 2*B*b*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**2)/e, Ne(e, 0)), ((A*a*x + B*b*x**3/3 + x**2*(A*b + B*a)/2)/sqrt(d), True))","A",0
1723,1,76,0,18.005037," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**(3/2),x)","\frac{2 B b \left(d + e x\right)^{\frac{3}{2}}}{3 e^{3}} + \frac{\sqrt{d + e x} \left(2 A b e + 2 B a e - 4 B b d\right)}{e^{3}} + \frac{2 \left(- A e + B d\right) \left(a e - b d\right)}{e^{3} \sqrt{d + e x}}"," ",0,"2*B*b*(d + e*x)**(3/2)/(3*e**3) + sqrt(d + e*x)*(2*A*b*e + 2*B*a*e - 4*B*b*d)/e**3 + 2*(-A*e + B*d)*(a*e - b*d)/(e**3*sqrt(d + e*x))","A",0
1724,1,355,0,1.359465," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**(5/2),x)","\begin{cases} - \frac{2 A a e^{2}}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} - \frac{4 A b d e}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} - \frac{6 A b e^{2} x}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} - \frac{4 B a d e}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} - \frac{6 B a e^{2} x}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} + \frac{16 B b d^{2}}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} + \frac{24 B b d e x}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} + \frac{6 B b e^{2} x^{2}}{3 d e^{3} \sqrt{d + e x} + 3 e^{4} x \sqrt{d + e x}} & \text{for}\: e \neq 0 \\\frac{A a x + \frac{A b x^{2}}{2} + \frac{B a x^{2}}{2} + \frac{B b x^{3}}{3}}{d^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*A*a*e**2/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)) - 4*A*b*d*e/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)) - 6*A*b*e**2*x/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)) - 4*B*a*d*e/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)) - 6*B*a*e**2*x/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)) + 16*B*b*d**2/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)) + 24*B*b*d*e*x/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)) + 6*B*b*e**2*x**2/(3*d*e**3*sqrt(d + e*x) + 3*e**4*x*sqrt(d + e*x)), Ne(e, 0)), ((A*a*x + A*b*x**2/2 + B*a*x**2/2 + B*b*x**3/3)/d**(5/2), True))","A",0
1725,1,520,0,3.087310," ","integrate((b*x+a)*(B*x+A)/(e*x+d)**(7/2),x)","\begin{cases} - \frac{6 A a e^{2}}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} - \frac{4 A b d e}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} - \frac{10 A b e^{2} x}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} - \frac{4 B a d e}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} - \frac{10 B a e^{2} x}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} - \frac{16 B b d^{2}}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} - \frac{40 B b d e x}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} - \frac{30 B b e^{2} x^{2}}{15 d^{2} e^{3} \sqrt{d + e x} + 30 d e^{4} x \sqrt{d + e x} + 15 e^{5} x^{2} \sqrt{d + e x}} & \text{for}\: e \neq 0 \\\frac{A a x + \frac{A b x^{2}}{2} + \frac{B a x^{2}}{2} + \frac{B b x^{3}}{3}}{d^{\frac{7}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-6*A*a*e**2/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)) - 4*A*b*d*e/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)) - 10*A*b*e**2*x/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)) - 4*B*a*d*e/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)) - 10*B*a*e**2*x/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)) - 16*B*b*d**2/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)) - 40*B*b*d*e*x/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)) - 30*B*b*e**2*x**2/(15*d**2*e**3*sqrt(d + e*x) + 30*d*e**4*x*sqrt(d + e*x) + 15*e**5*x**2*sqrt(d + e*x)), Ne(e, 0)), ((A*a*x + A*b*x**2/2 + B*a*x**2/2 + B*b*x**3/3)/d**(7/2), True))","A",0
1726,1,1020,0,10.813143," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**(7/2),x)","\begin{cases} \frac{2 A a^{2} d^{4} \sqrt{d + e x}}{9 e} + \frac{8 A a^{2} d^{3} x \sqrt{d + e x}}{9} + \frac{4 A a^{2} d^{2} e x^{2} \sqrt{d + e x}}{3} + \frac{8 A a^{2} d e^{2} x^{3} \sqrt{d + e x}}{9} + \frac{2 A a^{2} e^{3} x^{4} \sqrt{d + e x}}{9} - \frac{8 A a b d^{5} \sqrt{d + e x}}{99 e^{2}} + \frac{4 A a b d^{4} x \sqrt{d + e x}}{99 e} + \frac{32 A a b d^{3} x^{2} \sqrt{d + e x}}{33} + \frac{184 A a b d^{2} e x^{3} \sqrt{d + e x}}{99} + \frac{136 A a b d e^{2} x^{4} \sqrt{d + e x}}{99} + \frac{4 A a b e^{3} x^{5} \sqrt{d + e x}}{11} + \frac{16 A b^{2} d^{6} \sqrt{d + e x}}{1287 e^{3}} - \frac{8 A b^{2} d^{5} x \sqrt{d + e x}}{1287 e^{2}} + \frac{2 A b^{2} d^{4} x^{2} \sqrt{d + e x}}{429 e} + \frac{424 A b^{2} d^{3} x^{3} \sqrt{d + e x}}{1287} + \frac{916 A b^{2} d^{2} e x^{4} \sqrt{d + e x}}{1287} + \frac{80 A b^{2} d e^{2} x^{5} \sqrt{d + e x}}{143} + \frac{2 A b^{2} e^{3} x^{6} \sqrt{d + e x}}{13} - \frac{4 B a^{2} d^{5} \sqrt{d + e x}}{99 e^{2}} + \frac{2 B a^{2} d^{4} x \sqrt{d + e x}}{99 e} + \frac{16 B a^{2} d^{3} x^{2} \sqrt{d + e x}}{33} + \frac{92 B a^{2} d^{2} e x^{3} \sqrt{d + e x}}{99} + \frac{68 B a^{2} d e^{2} x^{4} \sqrt{d + e x}}{99} + \frac{2 B a^{2} e^{3} x^{5} \sqrt{d + e x}}{11} + \frac{32 B a b d^{6} \sqrt{d + e x}}{1287 e^{3}} - \frac{16 B a b d^{5} x \sqrt{d + e x}}{1287 e^{2}} + \frac{4 B a b d^{4} x^{2} \sqrt{d + e x}}{429 e} + \frac{848 B a b d^{3} x^{3} \sqrt{d + e x}}{1287} + \frac{1832 B a b d^{2} e x^{4} \sqrt{d + e x}}{1287} + \frac{160 B a b d e^{2} x^{5} \sqrt{d + e x}}{143} + \frac{4 B a b e^{3} x^{6} \sqrt{d + e x}}{13} - \frac{32 B b^{2} d^{7} \sqrt{d + e x}}{6435 e^{4}} + \frac{16 B b^{2} d^{6} x \sqrt{d + e x}}{6435 e^{3}} - \frac{4 B b^{2} d^{5} x^{2} \sqrt{d + e x}}{2145 e^{2}} + \frac{2 B b^{2} d^{4} x^{3} \sqrt{d + e x}}{1287 e} + \frac{320 B b^{2} d^{3} x^{4} \sqrt{d + e x}}{1287} + \frac{412 B b^{2} d^{2} e x^{5} \sqrt{d + e x}}{715} + \frac{92 B b^{2} d e^{2} x^{6} \sqrt{d + e x}}{195} + \frac{2 B b^{2} e^{3} x^{7} \sqrt{d + e x}}{15} & \text{for}\: e \neq 0 \\d^{\frac{7}{2}} \left(A a^{2} x + A a b x^{2} + \frac{A b^{2} x^{3}}{3} + \frac{B a^{2} x^{2}}{2} + \frac{2 B a b x^{3}}{3} + \frac{B b^{2} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a**2*d**4*sqrt(d + e*x)/(9*e) + 8*A*a**2*d**3*x*sqrt(d + e*x)/9 + 4*A*a**2*d**2*e*x**2*sqrt(d + e*x)/3 + 8*A*a**2*d*e**2*x**3*sqrt(d + e*x)/9 + 2*A*a**2*e**3*x**4*sqrt(d + e*x)/9 - 8*A*a*b*d**5*sqrt(d + e*x)/(99*e**2) + 4*A*a*b*d**4*x*sqrt(d + e*x)/(99*e) + 32*A*a*b*d**3*x**2*sqrt(d + e*x)/33 + 184*A*a*b*d**2*e*x**3*sqrt(d + e*x)/99 + 136*A*a*b*d*e**2*x**4*sqrt(d + e*x)/99 + 4*A*a*b*e**3*x**5*sqrt(d + e*x)/11 + 16*A*b**2*d**6*sqrt(d + e*x)/(1287*e**3) - 8*A*b**2*d**5*x*sqrt(d + e*x)/(1287*e**2) + 2*A*b**2*d**4*x**2*sqrt(d + e*x)/(429*e) + 424*A*b**2*d**3*x**3*sqrt(d + e*x)/1287 + 916*A*b**2*d**2*e*x**4*sqrt(d + e*x)/1287 + 80*A*b**2*d*e**2*x**5*sqrt(d + e*x)/143 + 2*A*b**2*e**3*x**6*sqrt(d + e*x)/13 - 4*B*a**2*d**5*sqrt(d + e*x)/(99*e**2) + 2*B*a**2*d**4*x*sqrt(d + e*x)/(99*e) + 16*B*a**2*d**3*x**2*sqrt(d + e*x)/33 + 92*B*a**2*d**2*e*x**3*sqrt(d + e*x)/99 + 68*B*a**2*d*e**2*x**4*sqrt(d + e*x)/99 + 2*B*a**2*e**3*x**5*sqrt(d + e*x)/11 + 32*B*a*b*d**6*sqrt(d + e*x)/(1287*e**3) - 16*B*a*b*d**5*x*sqrt(d + e*x)/(1287*e**2) + 4*B*a*b*d**4*x**2*sqrt(d + e*x)/(429*e) + 848*B*a*b*d**3*x**3*sqrt(d + e*x)/1287 + 1832*B*a*b*d**2*e*x**4*sqrt(d + e*x)/1287 + 160*B*a*b*d*e**2*x**5*sqrt(d + e*x)/143 + 4*B*a*b*e**3*x**6*sqrt(d + e*x)/13 - 32*B*b**2*d**7*sqrt(d + e*x)/(6435*e**4) + 16*B*b**2*d**6*x*sqrt(d + e*x)/(6435*e**3) - 4*B*b**2*d**5*x**2*sqrt(d + e*x)/(2145*e**2) + 2*B*b**2*d**4*x**3*sqrt(d + e*x)/(1287*e) + 320*B*b**2*d**3*x**4*sqrt(d + e*x)/1287 + 412*B*b**2*d**2*e*x**5*sqrt(d + e*x)/715 + 92*B*b**2*d*e**2*x**6*sqrt(d + e*x)/195 + 2*B*b**2*e**3*x**7*sqrt(d + e*x)/15, Ne(e, 0)), (d**(7/2)*(A*a**2*x + A*a*b*x**2 + A*b**2*x**3/3 + B*a**2*x**2/2 + 2*B*a*b*x**3/3 + B*b**2*x**4/4), True))","A",0
1727,1,857,0,4.917799," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**(5/2),x)","\begin{cases} \frac{2 A a^{2} d^{3} \sqrt{d + e x}}{7 e} + \frac{6 A a^{2} d^{2} x \sqrt{d + e x}}{7} + \frac{6 A a^{2} d e x^{2} \sqrt{d + e x}}{7} + \frac{2 A a^{2} e^{2} x^{3} \sqrt{d + e x}}{7} - \frac{8 A a b d^{4} \sqrt{d + e x}}{63 e^{2}} + \frac{4 A a b d^{3} x \sqrt{d + e x}}{63 e} + \frac{20 A a b d^{2} x^{2} \sqrt{d + e x}}{21} + \frac{76 A a b d e x^{3} \sqrt{d + e x}}{63} + \frac{4 A a b e^{2} x^{4} \sqrt{d + e x}}{9} + \frac{16 A b^{2} d^{5} \sqrt{d + e x}}{693 e^{3}} - \frac{8 A b^{2} d^{4} x \sqrt{d + e x}}{693 e^{2}} + \frac{2 A b^{2} d^{3} x^{2} \sqrt{d + e x}}{231 e} + \frac{226 A b^{2} d^{2} x^{3} \sqrt{d + e x}}{693} + \frac{46 A b^{2} d e x^{4} \sqrt{d + e x}}{99} + \frac{2 A b^{2} e^{2} x^{5} \sqrt{d + e x}}{11} - \frac{4 B a^{2} d^{4} \sqrt{d + e x}}{63 e^{2}} + \frac{2 B a^{2} d^{3} x \sqrt{d + e x}}{63 e} + \frac{10 B a^{2} d^{2} x^{2} \sqrt{d + e x}}{21} + \frac{38 B a^{2} d e x^{3} \sqrt{d + e x}}{63} + \frac{2 B a^{2} e^{2} x^{4} \sqrt{d + e x}}{9} + \frac{32 B a b d^{5} \sqrt{d + e x}}{693 e^{3}} - \frac{16 B a b d^{4} x \sqrt{d + e x}}{693 e^{2}} + \frac{4 B a b d^{3} x^{2} \sqrt{d + e x}}{231 e} + \frac{452 B a b d^{2} x^{3} \sqrt{d + e x}}{693} + \frac{92 B a b d e x^{4} \sqrt{d + e x}}{99} + \frac{4 B a b e^{2} x^{5} \sqrt{d + e x}}{11} - \frac{32 B b^{2} d^{6} \sqrt{d + e x}}{3003 e^{4}} + \frac{16 B b^{2} d^{5} x \sqrt{d + e x}}{3003 e^{3}} - \frac{4 B b^{2} d^{4} x^{2} \sqrt{d + e x}}{1001 e^{2}} + \frac{10 B b^{2} d^{3} x^{3} \sqrt{d + e x}}{3003 e} + \frac{106 B b^{2} d^{2} x^{4} \sqrt{d + e x}}{429} + \frac{54 B b^{2} d e x^{5} \sqrt{d + e x}}{143} + \frac{2 B b^{2} e^{2} x^{6} \sqrt{d + e x}}{13} & \text{for}\: e \neq 0 \\d^{\frac{5}{2}} \left(A a^{2} x + A a b x^{2} + \frac{A b^{2} x^{3}}{3} + \frac{B a^{2} x^{2}}{2} + \frac{2 B a b x^{3}}{3} + \frac{B b^{2} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a**2*d**3*sqrt(d + e*x)/(7*e) + 6*A*a**2*d**2*x*sqrt(d + e*x)/7 + 6*A*a**2*d*e*x**2*sqrt(d + e*x)/7 + 2*A*a**2*e**2*x**3*sqrt(d + e*x)/7 - 8*A*a*b*d**4*sqrt(d + e*x)/(63*e**2) + 4*A*a*b*d**3*x*sqrt(d + e*x)/(63*e) + 20*A*a*b*d**2*x**2*sqrt(d + e*x)/21 + 76*A*a*b*d*e*x**3*sqrt(d + e*x)/63 + 4*A*a*b*e**2*x**4*sqrt(d + e*x)/9 + 16*A*b**2*d**5*sqrt(d + e*x)/(693*e**3) - 8*A*b**2*d**4*x*sqrt(d + e*x)/(693*e**2) + 2*A*b**2*d**3*x**2*sqrt(d + e*x)/(231*e) + 226*A*b**2*d**2*x**3*sqrt(d + e*x)/693 + 46*A*b**2*d*e*x**4*sqrt(d + e*x)/99 + 2*A*b**2*e**2*x**5*sqrt(d + e*x)/11 - 4*B*a**2*d**4*sqrt(d + e*x)/(63*e**2) + 2*B*a**2*d**3*x*sqrt(d + e*x)/(63*e) + 10*B*a**2*d**2*x**2*sqrt(d + e*x)/21 + 38*B*a**2*d*e*x**3*sqrt(d + e*x)/63 + 2*B*a**2*e**2*x**4*sqrt(d + e*x)/9 + 32*B*a*b*d**5*sqrt(d + e*x)/(693*e**3) - 16*B*a*b*d**4*x*sqrt(d + e*x)/(693*e**2) + 4*B*a*b*d**3*x**2*sqrt(d + e*x)/(231*e) + 452*B*a*b*d**2*x**3*sqrt(d + e*x)/693 + 92*B*a*b*d*e*x**4*sqrt(d + e*x)/99 + 4*B*a*b*e**2*x**5*sqrt(d + e*x)/11 - 32*B*b**2*d**6*sqrt(d + e*x)/(3003*e**4) + 16*B*b**2*d**5*x*sqrt(d + e*x)/(3003*e**3) - 4*B*b**2*d**4*x**2*sqrt(d + e*x)/(1001*e**2) + 10*B*b**2*d**3*x**3*sqrt(d + e*x)/(3003*e) + 106*B*b**2*d**2*x**4*sqrt(d + e*x)/429 + 54*B*b**2*d*e*x**5*sqrt(d + e*x)/143 + 2*B*b**2*e**2*x**6*sqrt(d + e*x)/13, Ne(e, 0)), (d**(5/2)*(A*a**2*x + A*a*b*x**2 + A*b**2*x**3/3 + B*a**2*x**2/2 + 2*B*a*b*x**3/3 + B*b**2*x**4/4), True))","A",0
1728,1,586,0,22.590847," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**(3/2),x)","A a^{2} d \left(\begin{cases} \sqrt{d} x & \text{for}\: e = 0 \\\frac{2 \left(d + e x\right)^{\frac{3}{2}}}{3 e} & \text{otherwise} \end{cases}\right) + \frac{2 A a^{2} \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e} + \frac{4 A a b d \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{4 A a b \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{2 A b^{2} d \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} + \frac{2 A b^{2} \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{3}} + \frac{2 B a^{2} d \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{2 B a^{2} \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{4 B a b d \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} + \frac{4 B a b \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{3}} + \frac{2 B b^{2} d \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{4}} + \frac{2 B b^{2} \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{4}}"," ",0,"A*a**2*d*Piecewise((sqrt(d)*x, Eq(e, 0)), (2*(d + e*x)**(3/2)/(3*e), True)) + 2*A*a**2*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e + 4*A*a*b*d*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 4*A*a*b*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 2*A*b**2*d*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**3 + 2*A*b**2*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**3 + 2*B*a**2*d*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 2*B*a**2*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 4*B*a*b*d*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**3 + 4*B*a*b*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**3 + 2*B*b**2*d*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**4 + 2*B*b**2*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**4","A",0
1729,1,201,0,4.916909," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**(1/2),x)","\frac{2 \left(\frac{B b^{2} \left(d + e x\right)^{\frac{9}{2}}}{9 e^{3}} + \frac{\left(d + e x\right)^{\frac{7}{2}} \left(A b^{2} e + 2 B a b e - 3 B b^{2} d\right)}{7 e^{3}} + \frac{\left(d + e x\right)^{\frac{5}{2}} \left(2 A a b e^{2} - 2 A b^{2} d e + B a^{2} e^{2} - 4 B a b d e + 3 B b^{2} d^{2}\right)}{5 e^{3}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(A a^{2} e^{3} - 2 A a b d e^{2} + A b^{2} d^{2} e - B a^{2} d e^{2} + 2 B a b d^{2} e - B b^{2} d^{3}\right)}{3 e^{3}}\right)}{e}"," ",0,"2*(B*b**2*(d + e*x)**(9/2)/(9*e**3) + (d + e*x)**(7/2)*(A*b**2*e + 2*B*a*b*e - 3*B*b**2*d)/(7*e**3) + (d + e*x)**(5/2)*(2*A*a*b*e**2 - 2*A*b**2*d*e + B*a**2*e**2 - 4*B*a*b*d*e + 3*B*b**2*d**2)/(5*e**3) + (d + e*x)**(3/2)*(A*a**2*e**3 - 2*A*a*b*d*e**2 + A*b**2*d**2*e - B*a**2*d*e**2 + 2*B*a*b*d**2*e - B*b**2*d**3)/(3*e**3))/e","A",0
1730,1,583,0,55.126536," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a^{2} d}{\sqrt{d + e x}} - 2 A a^{2} \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right) - \frac{4 A a b d \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right)}{e} - \frac{4 A a b \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e} - \frac{2 A b^{2} d \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e^{2}} - \frac{2 A b^{2} \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} - \frac{2 B a^{2} d \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right)}{e} - \frac{2 B a^{2} \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e} - \frac{4 B a b d \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e^{2}} - \frac{4 B a b \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} - \frac{2 B b^{2} d \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{3}} - \frac{2 B b^{2} \left(\frac{d^{4}}{\sqrt{d + e x}} + 4 d^{3} \sqrt{d + e x} - 2 d^{2} \left(d + e x\right)^{\frac{3}{2}} + \frac{4 d \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}}}{e} & \text{for}\: e \neq 0 \\\frac{A a^{2} x + \frac{B b^{2} x^{4}}{4} + \frac{x^{3} \left(A b^{2} + 2 B a b\right)}{3} + \frac{x^{2} \left(2 A a b + B a^{2}\right)}{2}}{\sqrt{d}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a**2*d/sqrt(d + e*x) - 2*A*a**2*(-d/sqrt(d + e*x) - sqrt(d + e*x)) - 4*A*a*b*d*(-d/sqrt(d + e*x) - sqrt(d + e*x))/e - 4*A*a*b*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e - 2*A*b**2*d*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e**2 - 2*A*b**2*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**2 - 2*B*a**2*d*(-d/sqrt(d + e*x) - sqrt(d + e*x))/e - 2*B*a**2*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e - 4*B*a*b*d*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e**2 - 4*B*a*b*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**2 - 2*B*b**2*d*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**3 - 2*B*b**2*(d**4/sqrt(d + e*x) + 4*d**3*sqrt(d + e*x) - 2*d**2*(d + e*x)**(3/2) + 4*d*(d + e*x)**(5/2)/5 - (d + e*x)**(7/2)/7)/e**3)/e, Ne(e, 0)), ((A*a**2*x + B*b**2*x**4/4 + x**3*(A*b**2 + 2*B*a*b)/3 + x**2*(2*A*a*b + B*a**2)/2)/sqrt(d), True))","A",0
1731,1,150,0,34.814752," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**(3/2),x)","\frac{2 B b^{2} \left(d + e x\right)^{\frac{5}{2}}}{5 e^{4}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(2 A b^{2} e + 4 B a b e - 6 B b^{2} d\right)}{3 e^{4}} + \frac{\sqrt{d + e x} \left(4 A a b e^{2} - 4 A b^{2} d e + 2 B a^{2} e^{2} - 8 B a b d e + 6 B b^{2} d^{2}\right)}{e^{4}} + \frac{2 \left(- A e + B d\right) \left(a e - b d\right)^{2}}{e^{4} \sqrt{d + e x}}"," ",0,"2*B*b**2*(d + e*x)**(5/2)/(5*e**4) + (d + e*x)**(3/2)*(2*A*b**2*e + 4*B*a*b*e - 6*B*b**2*d)/(3*e**4) + sqrt(d + e*x)*(4*A*a*b*e**2 - 4*A*b**2*d*e + 2*B*a**2*e**2 - 8*B*a*b*d*e + 6*B*b**2*d**2)/e**4 + 2*(-A*e + B*d)*(a*e - b*d)**2/(e**4*sqrt(d + e*x))","A",0
1732,1,709,0,1.674452," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**(5/2),x)","\begin{cases} - \frac{2 A a^{2} e^{3}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} - \frac{8 A a b d e^{2}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} - \frac{12 A a b e^{3} x}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} + \frac{16 A b^{2} d^{2} e}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} + \frac{24 A b^{2} d e^{2} x}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} + \frac{6 A b^{2} e^{3} x^{2}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} - \frac{4 B a^{2} d e^{2}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} - \frac{6 B a^{2} e^{3} x}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} + \frac{32 B a b d^{2} e}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} + \frac{48 B a b d e^{2} x}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} + \frac{12 B a b e^{3} x^{2}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} - \frac{32 B b^{2} d^{3}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} - \frac{48 B b^{2} d^{2} e x}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} - \frac{12 B b^{2} d e^{2} x^{2}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} + \frac{2 B b^{2} e^{3} x^{3}}{3 d e^{4} \sqrt{d + e x} + 3 e^{5} x \sqrt{d + e x}} & \text{for}\: e \neq 0 \\\frac{A a^{2} x + A a b x^{2} + \frac{A b^{2} x^{3}}{3} + \frac{B a^{2} x^{2}}{2} + \frac{2 B a b x^{3}}{3} + \frac{B b^{2} x^{4}}{4}}{d^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*A*a**2*e**3/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) - 8*A*a*b*d*e**2/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) - 12*A*a*b*e**3*x/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) + 16*A*b**2*d**2*e/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) + 24*A*b**2*d*e**2*x/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) + 6*A*b**2*e**3*x**2/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) - 4*B*a**2*d*e**2/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) - 6*B*a**2*e**3*x/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) + 32*B*a*b*d**2*e/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) + 48*B*a*b*d*e**2*x/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) + 12*B*a*b*e**3*x**2/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) - 32*B*b**2*d**3/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) - 48*B*b**2*d**2*e*x/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) - 12*B*b**2*d*e**2*x**2/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)) + 2*B*b**2*e**3*x**3/(3*d*e**4*sqrt(d + e*x) + 3*e**5*x*sqrt(d + e*x)), Ne(e, 0)), ((A*a**2*x + A*a*b*x**2 + A*b**2*x**3/3 + B*a**2*x**2/2 + 2*B*a*b*x**3/3 + B*b**2*x**4/4)/d**(5/2), True))","A",0
1733,1,1015,0,3.616768," ","integrate((b*x+a)**2*(B*x+A)/(e*x+d)**(7/2),x)","\begin{cases} - \frac{6 A a^{2} e^{3}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{8 A a b d e^{2}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{20 A a b e^{3} x}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{16 A b^{2} d^{2} e}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{40 A b^{2} d e^{2} x}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{30 A b^{2} e^{3} x^{2}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{4 B a^{2} d e^{2}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{10 B a^{2} e^{3} x}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{32 B a b d^{2} e}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{80 B a b d e^{2} x}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} - \frac{60 B a b e^{3} x^{2}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} + \frac{96 B b^{2} d^{3}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} + \frac{240 B b^{2} d^{2} e x}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} + \frac{180 B b^{2} d e^{2} x^{2}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} + \frac{30 B b^{2} e^{3} x^{3}}{15 d^{2} e^{4} \sqrt{d + e x} + 30 d e^{5} x \sqrt{d + e x} + 15 e^{6} x^{2} \sqrt{d + e x}} & \text{for}\: e \neq 0 \\\frac{A a^{2} x + A a b x^{2} + \frac{A b^{2} x^{3}}{3} + \frac{B a^{2} x^{2}}{2} + \frac{2 B a b x^{3}}{3} + \frac{B b^{2} x^{4}}{4}}{d^{\frac{7}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-6*A*a**2*e**3/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 8*A*a*b*d*e**2/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 20*A*a*b*e**3*x/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 16*A*b**2*d**2*e/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 40*A*b**2*d*e**2*x/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 30*A*b**2*e**3*x**2/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 4*B*a**2*d*e**2/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 10*B*a**2*e**3*x/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 32*B*a*b*d**2*e/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 80*B*a*b*d*e**2*x/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) - 60*B*a*b*e**3*x**2/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) + 96*B*b**2*d**3/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) + 240*B*b**2*d**2*e*x/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) + 180*B*b**2*d*e**2*x**2/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)) + 30*B*b**2*e**3*x**3/(15*d**2*e**4*sqrt(d + e*x) + 30*d*e**5*x*sqrt(d + e*x) + 15*e**6*x**2*sqrt(d + e*x)), Ne(e, 0)), ((A*a**2*x + A*a*b*x**2 + A*b**2*x**3/3 + B*a**2*x**2/2 + 2*B*a*b*x**3/3 + B*b**2*x**4/4)/d**(7/2), True))","A",0
1734,1,1523,0,14.420418," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**(7/2),x)","\begin{cases} \frac{2 A a^{3} d^{4} \sqrt{d + e x}}{9 e} + \frac{8 A a^{3} d^{3} x \sqrt{d + e x}}{9} + \frac{4 A a^{3} d^{2} e x^{2} \sqrt{d + e x}}{3} + \frac{8 A a^{3} d e^{2} x^{3} \sqrt{d + e x}}{9} + \frac{2 A a^{3} e^{3} x^{4} \sqrt{d + e x}}{9} - \frac{4 A a^{2} b d^{5} \sqrt{d + e x}}{33 e^{2}} + \frac{2 A a^{2} b d^{4} x \sqrt{d + e x}}{33 e} + \frac{16 A a^{2} b d^{3} x^{2} \sqrt{d + e x}}{11} + \frac{92 A a^{2} b d^{2} e x^{3} \sqrt{d + e x}}{33} + \frac{68 A a^{2} b d e^{2} x^{4} \sqrt{d + e x}}{33} + \frac{6 A a^{2} b e^{3} x^{5} \sqrt{d + e x}}{11} + \frac{16 A a b^{2} d^{6} \sqrt{d + e x}}{429 e^{3}} - \frac{8 A a b^{2} d^{5} x \sqrt{d + e x}}{429 e^{2}} + \frac{2 A a b^{2} d^{4} x^{2} \sqrt{d + e x}}{143 e} + \frac{424 A a b^{2} d^{3} x^{3} \sqrt{d + e x}}{429} + \frac{916 A a b^{2} d^{2} e x^{4} \sqrt{d + e x}}{429} + \frac{240 A a b^{2} d e^{2} x^{5} \sqrt{d + e x}}{143} + \frac{6 A a b^{2} e^{3} x^{6} \sqrt{d + e x}}{13} - \frac{32 A b^{3} d^{7} \sqrt{d + e x}}{6435 e^{4}} + \frac{16 A b^{3} d^{6} x \sqrt{d + e x}}{6435 e^{3}} - \frac{4 A b^{3} d^{5} x^{2} \sqrt{d + e x}}{2145 e^{2}} + \frac{2 A b^{3} d^{4} x^{3} \sqrt{d + e x}}{1287 e} + \frac{320 A b^{3} d^{3} x^{4} \sqrt{d + e x}}{1287} + \frac{412 A b^{3} d^{2} e x^{5} \sqrt{d + e x}}{715} + \frac{92 A b^{3} d e^{2} x^{6} \sqrt{d + e x}}{195} + \frac{2 A b^{3} e^{3} x^{7} \sqrt{d + e x}}{15} - \frac{4 B a^{3} d^{5} \sqrt{d + e x}}{99 e^{2}} + \frac{2 B a^{3} d^{4} x \sqrt{d + e x}}{99 e} + \frac{16 B a^{3} d^{3} x^{2} \sqrt{d + e x}}{33} + \frac{92 B a^{3} d^{2} e x^{3} \sqrt{d + e x}}{99} + \frac{68 B a^{3} d e^{2} x^{4} \sqrt{d + e x}}{99} + \frac{2 B a^{3} e^{3} x^{5} \sqrt{d + e x}}{11} + \frac{16 B a^{2} b d^{6} \sqrt{d + e x}}{429 e^{3}} - \frac{8 B a^{2} b d^{5} x \sqrt{d + e x}}{429 e^{2}} + \frac{2 B a^{2} b d^{4} x^{2} \sqrt{d + e x}}{143 e} + \frac{424 B a^{2} b d^{3} x^{3} \sqrt{d + e x}}{429} + \frac{916 B a^{2} b d^{2} e x^{4} \sqrt{d + e x}}{429} + \frac{240 B a^{2} b d e^{2} x^{5} \sqrt{d + e x}}{143} + \frac{6 B a^{2} b e^{3} x^{6} \sqrt{d + e x}}{13} - \frac{32 B a b^{2} d^{7} \sqrt{d + e x}}{2145 e^{4}} + \frac{16 B a b^{2} d^{6} x \sqrt{d + e x}}{2145 e^{3}} - \frac{4 B a b^{2} d^{5} x^{2} \sqrt{d + e x}}{715 e^{2}} + \frac{2 B a b^{2} d^{4} x^{3} \sqrt{d + e x}}{429 e} + \frac{320 B a b^{2} d^{3} x^{4} \sqrt{d + e x}}{429} + \frac{1236 B a b^{2} d^{2} e x^{5} \sqrt{d + e x}}{715} + \frac{92 B a b^{2} d e^{2} x^{6} \sqrt{d + e x}}{65} + \frac{2 B a b^{2} e^{3} x^{7} \sqrt{d + e x}}{5} + \frac{256 B b^{3} d^{8} \sqrt{d + e x}}{109395 e^{5}} - \frac{128 B b^{3} d^{7} x \sqrt{d + e x}}{109395 e^{4}} + \frac{32 B b^{3} d^{6} x^{2} \sqrt{d + e x}}{36465 e^{3}} - \frac{16 B b^{3} d^{5} x^{3} \sqrt{d + e x}}{21879 e^{2}} + \frac{14 B b^{3} d^{4} x^{4} \sqrt{d + e x}}{21879 e} + \frac{2424 B b^{3} d^{3} x^{5} \sqrt{d + e x}}{12155} + \frac{1604 B b^{3} d^{2} e x^{6} \sqrt{d + e x}}{3315} + \frac{104 B b^{3} d e^{2} x^{7} \sqrt{d + e x}}{255} + \frac{2 B b^{3} e^{3} x^{8} \sqrt{d + e x}}{17} & \text{for}\: e \neq 0 \\d^{\frac{7}{2}} \left(A a^{3} x + \frac{3 A a^{2} b x^{2}}{2} + A a b^{2} x^{3} + \frac{A b^{3} x^{4}}{4} + \frac{B a^{3} x^{2}}{2} + B a^{2} b x^{3} + \frac{3 B a b^{2} x^{4}}{4} + \frac{B b^{3} x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*A*a**3*d**4*sqrt(d + e*x)/(9*e) + 8*A*a**3*d**3*x*sqrt(d + e*x)/9 + 4*A*a**3*d**2*e*x**2*sqrt(d + e*x)/3 + 8*A*a**3*d*e**2*x**3*sqrt(d + e*x)/9 + 2*A*a**3*e**3*x**4*sqrt(d + e*x)/9 - 4*A*a**2*b*d**5*sqrt(d + e*x)/(33*e**2) + 2*A*a**2*b*d**4*x*sqrt(d + e*x)/(33*e) + 16*A*a**2*b*d**3*x**2*sqrt(d + e*x)/11 + 92*A*a**2*b*d**2*e*x**3*sqrt(d + e*x)/33 + 68*A*a**2*b*d*e**2*x**4*sqrt(d + e*x)/33 + 6*A*a**2*b*e**3*x**5*sqrt(d + e*x)/11 + 16*A*a*b**2*d**6*sqrt(d + e*x)/(429*e**3) - 8*A*a*b**2*d**5*x*sqrt(d + e*x)/(429*e**2) + 2*A*a*b**2*d**4*x**2*sqrt(d + e*x)/(143*e) + 424*A*a*b**2*d**3*x**3*sqrt(d + e*x)/429 + 916*A*a*b**2*d**2*e*x**4*sqrt(d + e*x)/429 + 240*A*a*b**2*d*e**2*x**5*sqrt(d + e*x)/143 + 6*A*a*b**2*e**3*x**6*sqrt(d + e*x)/13 - 32*A*b**3*d**7*sqrt(d + e*x)/(6435*e**4) + 16*A*b**3*d**6*x*sqrt(d + e*x)/(6435*e**3) - 4*A*b**3*d**5*x**2*sqrt(d + e*x)/(2145*e**2) + 2*A*b**3*d**4*x**3*sqrt(d + e*x)/(1287*e) + 320*A*b**3*d**3*x**4*sqrt(d + e*x)/1287 + 412*A*b**3*d**2*e*x**5*sqrt(d + e*x)/715 + 92*A*b**3*d*e**2*x**6*sqrt(d + e*x)/195 + 2*A*b**3*e**3*x**7*sqrt(d + e*x)/15 - 4*B*a**3*d**5*sqrt(d + e*x)/(99*e**2) + 2*B*a**3*d**4*x*sqrt(d + e*x)/(99*e) + 16*B*a**3*d**3*x**2*sqrt(d + e*x)/33 + 92*B*a**3*d**2*e*x**3*sqrt(d + e*x)/99 + 68*B*a**3*d*e**2*x**4*sqrt(d + e*x)/99 + 2*B*a**3*e**3*x**5*sqrt(d + e*x)/11 + 16*B*a**2*b*d**6*sqrt(d + e*x)/(429*e**3) - 8*B*a**2*b*d**5*x*sqrt(d + e*x)/(429*e**2) + 2*B*a**2*b*d**4*x**2*sqrt(d + e*x)/(143*e) + 424*B*a**2*b*d**3*x**3*sqrt(d + e*x)/429 + 916*B*a**2*b*d**2*e*x**4*sqrt(d + e*x)/429 + 240*B*a**2*b*d*e**2*x**5*sqrt(d + e*x)/143 + 6*B*a**2*b*e**3*x**6*sqrt(d + e*x)/13 - 32*B*a*b**2*d**7*sqrt(d + e*x)/(2145*e**4) + 16*B*a*b**2*d**6*x*sqrt(d + e*x)/(2145*e**3) - 4*B*a*b**2*d**5*x**2*sqrt(d + e*x)/(715*e**2) + 2*B*a*b**2*d**4*x**3*sqrt(d + e*x)/(429*e) + 320*B*a*b**2*d**3*x**4*sqrt(d + e*x)/429 + 1236*B*a*b**2*d**2*e*x**5*sqrt(d + e*x)/715 + 92*B*a*b**2*d*e**2*x**6*sqrt(d + e*x)/65 + 2*B*a*b**2*e**3*x**7*sqrt(d + e*x)/5 + 256*B*b**3*d**8*sqrt(d + e*x)/(109395*e**5) - 128*B*b**3*d**7*x*sqrt(d + e*x)/(109395*e**4) + 32*B*b**3*d**6*x**2*sqrt(d + e*x)/(36465*e**3) - 16*B*b**3*d**5*x**3*sqrt(d + e*x)/(21879*e**2) + 14*B*b**3*d**4*x**4*sqrt(d + e*x)/(21879*e) + 2424*B*b**3*d**3*x**5*sqrt(d + e*x)/12155 + 1604*B*b**3*d**2*e*x**6*sqrt(d + e*x)/3315 + 104*B*b**3*d*e**2*x**7*sqrt(d + e*x)/255 + 2*B*b**3*e**3*x**8*sqrt(d + e*x)/17, Ne(e, 0)), (d**(7/2)*(A*a**3*x + 3*A*a**2*b*x**2/2 + A*a*b**2*x**3 + A*b**3*x**4/4 + B*a**3*x**2/2 + B*a**2*b*x**3 + 3*B*a*b**2*x**4/4 + B*b**3*x**5/5), True))","A",0
1735,1,1564,0,52.652588," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**(5/2),x)","A a^{3} d^{2} \left(\begin{cases} \sqrt{d} x & \text{for}\: e = 0 \\\frac{2 \left(d + e x\right)^{\frac{3}{2}}}{3 e} & \text{otherwise} \end{cases}\right) + \frac{4 A a^{3} d \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e} + \frac{2 A a^{3} \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e} + \frac{6 A a^{2} b d^{2} \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{12 A a^{2} b d \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{6 A a^{2} b \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{2}} + \frac{6 A a b^{2} d^{2} \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} + \frac{12 A a b^{2} d \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{3}} + \frac{6 A a b^{2} \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{3}} + \frac{2 A b^{3} d^{2} \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{4}} + \frac{4 A b^{3} d \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{4}} + \frac{2 A b^{3} \left(- \frac{d^{5} \left(d + e x\right)^{\frac{3}{2}}}{3} + d^{4} \left(d + e x\right)^{\frac{5}{2}} - \frac{10 d^{3} \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{10 d^{2} \left(d + e x\right)^{\frac{9}{2}}}{9} - \frac{5 d \left(d + e x\right)^{\frac{11}{2}}}{11} + \frac{\left(d + e x\right)^{\frac{13}{2}}}{13}\right)}{e^{4}} + \frac{2 B a^{3} d^{2} \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{4 B a^{3} d \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{2 B a^{3} \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{2}} + \frac{6 B a^{2} b d^{2} \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} + \frac{12 B a^{2} b d \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{3}} + \frac{6 B a^{2} b \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{3}} + \frac{6 B a b^{2} d^{2} \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{4}} + \frac{12 B a b^{2} d \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{4}} + \frac{6 B a b^{2} \left(- \frac{d^{5} \left(d + e x\right)^{\frac{3}{2}}}{3} + d^{4} \left(d + e x\right)^{\frac{5}{2}} - \frac{10 d^{3} \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{10 d^{2} \left(d + e x\right)^{\frac{9}{2}}}{9} - \frac{5 d \left(d + e x\right)^{\frac{11}{2}}}{11} + \frac{\left(d + e x\right)^{\frac{13}{2}}}{13}\right)}{e^{4}} + \frac{2 B b^{3} d^{2} \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{5}} + \frac{4 B b^{3} d \left(- \frac{d^{5} \left(d + e x\right)^{\frac{3}{2}}}{3} + d^{4} \left(d + e x\right)^{\frac{5}{2}} - \frac{10 d^{3} \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{10 d^{2} \left(d + e x\right)^{\frac{9}{2}}}{9} - \frac{5 d \left(d + e x\right)^{\frac{11}{2}}}{11} + \frac{\left(d + e x\right)^{\frac{13}{2}}}{13}\right)}{e^{5}} + \frac{2 B b^{3} \left(\frac{d^{6} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{6 d^{5} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{15 d^{4} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{20 d^{3} \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{15 d^{2} \left(d + e x\right)^{\frac{11}{2}}}{11} - \frac{6 d \left(d + e x\right)^{\frac{13}{2}}}{13} + \frac{\left(d + e x\right)^{\frac{15}{2}}}{15}\right)}{e^{5}}"," ",0,"A*a**3*d**2*Piecewise((sqrt(d)*x, Eq(e, 0)), (2*(d + e*x)**(3/2)/(3*e), True)) + 4*A*a**3*d*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e + 2*A*a**3*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e + 6*A*a**2*b*d**2*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 12*A*a**2*b*d*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 6*A*a**2*b*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**2 + 6*A*a*b**2*d**2*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**3 + 12*A*a*b**2*d*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**3 + 6*A*a*b**2*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**3 + 2*A*b**3*d**2*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**4 + 4*A*b**3*d*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**4 + 2*A*b**3*(-d**5*(d + e*x)**(3/2)/3 + d**4*(d + e*x)**(5/2) - 10*d**3*(d + e*x)**(7/2)/7 + 10*d**2*(d + e*x)**(9/2)/9 - 5*d*(d + e*x)**(11/2)/11 + (d + e*x)**(13/2)/13)/e**4 + 2*B*a**3*d**2*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 4*B*a**3*d*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 2*B*a**3*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**2 + 6*B*a**2*b*d**2*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**3 + 12*B*a**2*b*d*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**3 + 6*B*a**2*b*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**3 + 6*B*a*b**2*d**2*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**4 + 12*B*a*b**2*d*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**4 + 6*B*a*b**2*(-d**5*(d + e*x)**(3/2)/3 + d**4*(d + e*x)**(5/2) - 10*d**3*(d + e*x)**(7/2)/7 + 10*d**2*(d + e*x)**(9/2)/9 - 5*d*(d + e*x)**(11/2)/11 + (d + e*x)**(13/2)/13)/e**4 + 2*B*b**3*d**2*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**5 + 4*B*b**3*d*(-d**5*(d + e*x)**(3/2)/3 + d**4*(d + e*x)**(5/2) - 10*d**3*(d + e*x)**(7/2)/7 + 10*d**2*(d + e*x)**(9/2)/9 - 5*d*(d + e*x)**(11/2)/11 + (d + e*x)**(13/2)/13)/e**5 + 2*B*b**3*(d**6*(d + e*x)**(3/2)/3 - 6*d**5*(d + e*x)**(5/2)/5 + 15*d**4*(d + e*x)**(7/2)/7 - 20*d**3*(d + e*x)**(9/2)/9 + 15*d**2*(d + e*x)**(11/2)/11 - 6*d*(d + e*x)**(13/2)/13 + (d + e*x)**(15/2)/15)/e**5","A",0
1736,1,913,0,32.098727," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**(3/2),x)","A a^{3} d \left(\begin{cases} \sqrt{d} x & \text{for}\: e = 0 \\\frac{2 \left(d + e x\right)^{\frac{3}{2}}}{3 e} & \text{otherwise} \end{cases}\right) + \frac{2 A a^{3} \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e} + \frac{6 A a^{2} b d \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{6 A a^{2} b \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{6 A a b^{2} d \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} + \frac{6 A a b^{2} \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{3}} + \frac{2 A b^{3} d \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{4}} + \frac{2 A b^{3} \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{4}} + \frac{2 B a^{3} d \left(- \frac{d \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} + \frac{2 B a^{3} \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{2}} + \frac{6 B a^{2} b d \left(\frac{d^{2} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{2 d \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} + \frac{6 B a^{2} b \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{3}} + \frac{6 B a b^{2} d \left(- \frac{d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} + \frac{3 d^{2} \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{3 d \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{4}} + \frac{6 B a b^{2} \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{4}} + \frac{2 B b^{3} d \left(\frac{d^{4} \left(d + e x\right)^{\frac{3}{2}}}{3} - \frac{4 d^{3} \left(d + e x\right)^{\frac{5}{2}}}{5} + \frac{6 d^{2} \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{4 d \left(d + e x\right)^{\frac{9}{2}}}{9} + \frac{\left(d + e x\right)^{\frac{11}{2}}}{11}\right)}{e^{5}} + \frac{2 B b^{3} \left(- \frac{d^{5} \left(d + e x\right)^{\frac{3}{2}}}{3} + d^{4} \left(d + e x\right)^{\frac{5}{2}} - \frac{10 d^{3} \left(d + e x\right)^{\frac{7}{2}}}{7} + \frac{10 d^{2} \left(d + e x\right)^{\frac{9}{2}}}{9} - \frac{5 d \left(d + e x\right)^{\frac{11}{2}}}{11} + \frac{\left(d + e x\right)^{\frac{13}{2}}}{13}\right)}{e^{5}}"," ",0,"A*a**3*d*Piecewise((sqrt(d)*x, Eq(e, 0)), (2*(d + e*x)**(3/2)/(3*e), True)) + 2*A*a**3*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e + 6*A*a**2*b*d*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 6*A*a**2*b*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 6*A*a*b**2*d*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**3 + 6*A*a*b**2*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**3 + 2*A*b**3*d*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**4 + 2*A*b**3*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**4 + 2*B*a**3*d*(-d*(d + e*x)**(3/2)/3 + (d + e*x)**(5/2)/5)/e**2 + 2*B*a**3*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**2 + 6*B*a**2*b*d*(d**2*(d + e*x)**(3/2)/3 - 2*d*(d + e*x)**(5/2)/5 + (d + e*x)**(7/2)/7)/e**3 + 6*B*a**2*b*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**3 + 6*B*a*b**2*d*(-d**3*(d + e*x)**(3/2)/3 + 3*d**2*(d + e*x)**(5/2)/5 - 3*d*(d + e*x)**(7/2)/7 + (d + e*x)**(9/2)/9)/e**4 + 6*B*a*b**2*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**4 + 2*B*b**3*d*(d**4*(d + e*x)**(3/2)/3 - 4*d**3*(d + e*x)**(5/2)/5 + 6*d**2*(d + e*x)**(7/2)/7 - 4*d*(d + e*x)**(9/2)/9 + (d + e*x)**(11/2)/11)/e**5 + 2*B*b**3*(-d**5*(d + e*x)**(3/2)/3 + d**4*(d + e*x)**(5/2) - 10*d**3*(d + e*x)**(7/2)/7 + 10*d**2*(d + e*x)**(9/2)/9 - 5*d*(d + e*x)**(11/2)/11 + (d + e*x)**(13/2)/13)/e**5","A",0
1737,1,342,0,6.172747," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**(1/2),x)","\frac{2 \left(\frac{B b^{3} \left(d + e x\right)^{\frac{11}{2}}}{11 e^{4}} + \frac{\left(d + e x\right)^{\frac{9}{2}} \left(A b^{3} e + 3 B a b^{2} e - 4 B b^{3} d\right)}{9 e^{4}} + \frac{\left(d + e x\right)^{\frac{7}{2}} \left(3 A a b^{2} e^{2} - 3 A b^{3} d e + 3 B a^{2} b e^{2} - 9 B a b^{2} d e + 6 B b^{3} d^{2}\right)}{7 e^{4}} + \frac{\left(d + e x\right)^{\frac{5}{2}} \left(3 A a^{2} b e^{3} - 6 A a b^{2} d e^{2} + 3 A b^{3} d^{2} e + B a^{3} e^{3} - 6 B a^{2} b d e^{2} + 9 B a b^{2} d^{2} e - 4 B b^{3} d^{3}\right)}{5 e^{4}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(A a^{3} e^{4} - 3 A a^{2} b d e^{3} + 3 A a b^{2} d^{2} e^{2} - A b^{3} d^{3} e - B a^{3} d e^{3} + 3 B a^{2} b d^{2} e^{2} - 3 B a b^{2} d^{3} e + B b^{3} d^{4}\right)}{3 e^{4}}\right)}{e}"," ",0,"2*(B*b**3*(d + e*x)**(11/2)/(11*e**4) + (d + e*x)**(9/2)*(A*b**3*e + 3*B*a*b**2*e - 4*B*b**3*d)/(9*e**4) + (d + e*x)**(7/2)*(3*A*a*b**2*e**2 - 3*A*b**3*d*e + 3*B*a**2*b*e**2 - 9*B*a*b**2*d*e + 6*B*b**3*d**2)/(7*e**4) + (d + e*x)**(5/2)*(3*A*a**2*b*e**3 - 6*A*a*b**2*d*e**2 + 3*A*b**3*d**2*e + B*a**3*e**3 - 6*B*a**2*b*d*e**2 + 9*B*a*b**2*d**2*e - 4*B*b**3*d**3)/(5*e**4) + (d + e*x)**(3/2)*(A*a**3*e**4 - 3*A*a**2*b*d*e**3 + 3*A*a*b**2*d**2*e**2 - A*b**3*d**3*e - B*a**3*d*e**3 + 3*B*a**2*b*d**2*e**2 - 3*B*a*b**2*d**3*e + B*b**3*d**4)/(3*e**4))/e","B",0
1738,1,916,0,88.342099," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**(1/2),x)","\begin{cases} \frac{- \frac{2 A a^{3} d}{\sqrt{d + e x}} - 2 A a^{3} \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right) - \frac{6 A a^{2} b d \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right)}{e} - \frac{6 A a^{2} b \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e} - \frac{6 A a b^{2} d \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e^{2}} - \frac{6 A a b^{2} \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} - \frac{2 A b^{3} d \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{3}} - \frac{2 A b^{3} \left(\frac{d^{4}}{\sqrt{d + e x}} + 4 d^{3} \sqrt{d + e x} - 2 d^{2} \left(d + e x\right)^{\frac{3}{2}} + \frac{4 d \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} - \frac{2 B a^{3} d \left(- \frac{d}{\sqrt{d + e x}} - \sqrt{d + e x}\right)}{e} - \frac{2 B a^{3} \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e} - \frac{6 B a^{2} b d \left(\frac{d^{2}}{\sqrt{d + e x}} + 2 d \sqrt{d + e x} - \frac{\left(d + e x\right)^{\frac{3}{2}}}{3}\right)}{e^{2}} - \frac{6 B a^{2} b \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{2}} - \frac{6 B a b^{2} d \left(- \frac{d^{3}}{\sqrt{d + e x}} - 3 d^{2} \sqrt{d + e x} + d \left(d + e x\right)^{\frac{3}{2}} - \frac{\left(d + e x\right)^{\frac{5}{2}}}{5}\right)}{e^{3}} - \frac{6 B a b^{2} \left(\frac{d^{4}}{\sqrt{d + e x}} + 4 d^{3} \sqrt{d + e x} - 2 d^{2} \left(d + e x\right)^{\frac{3}{2}} + \frac{4 d \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{3}} - \frac{2 B b^{3} d \left(\frac{d^{4}}{\sqrt{d + e x}} + 4 d^{3} \sqrt{d + e x} - 2 d^{2} \left(d + e x\right)^{\frac{3}{2}} + \frac{4 d \left(d + e x\right)^{\frac{5}{2}}}{5} - \frac{\left(d + e x\right)^{\frac{7}{2}}}{7}\right)}{e^{4}} - \frac{2 B b^{3} \left(- \frac{d^{5}}{\sqrt{d + e x}} - 5 d^{4} \sqrt{d + e x} + \frac{10 d^{3} \left(d + e x\right)^{\frac{3}{2}}}{3} - 2 d^{2} \left(d + e x\right)^{\frac{5}{2}} + \frac{5 d \left(d + e x\right)^{\frac{7}{2}}}{7} - \frac{\left(d + e x\right)^{\frac{9}{2}}}{9}\right)}{e^{4}}}{e} & \text{for}\: e \neq 0 \\\frac{A a^{3} x + \frac{B b^{3} x^{5}}{5} + \frac{x^{4} \left(A b^{3} + 3 B a b^{2}\right)}{4} + \frac{x^{3} \left(3 A a b^{2} + 3 B a^{2} b\right)}{3} + \frac{x^{2} \left(3 A a^{2} b + B a^{3}\right)}{2}}{\sqrt{d}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*A*a**3*d/sqrt(d + e*x) - 2*A*a**3*(-d/sqrt(d + e*x) - sqrt(d + e*x)) - 6*A*a**2*b*d*(-d/sqrt(d + e*x) - sqrt(d + e*x))/e - 6*A*a**2*b*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e - 6*A*a*b**2*d*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e**2 - 6*A*a*b**2*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**2 - 2*A*b**3*d*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**3 - 2*A*b**3*(d**4/sqrt(d + e*x) + 4*d**3*sqrt(d + e*x) - 2*d**2*(d + e*x)**(3/2) + 4*d*(d + e*x)**(5/2)/5 - (d + e*x)**(7/2)/7)/e**3 - 2*B*a**3*d*(-d/sqrt(d + e*x) - sqrt(d + e*x))/e - 2*B*a**3*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e - 6*B*a**2*b*d*(d**2/sqrt(d + e*x) + 2*d*sqrt(d + e*x) - (d + e*x)**(3/2)/3)/e**2 - 6*B*a**2*b*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**2 - 6*B*a*b**2*d*(-d**3/sqrt(d + e*x) - 3*d**2*sqrt(d + e*x) + d*(d + e*x)**(3/2) - (d + e*x)**(5/2)/5)/e**3 - 6*B*a*b**2*(d**4/sqrt(d + e*x) + 4*d**3*sqrt(d + e*x) - 2*d**2*(d + e*x)**(3/2) + 4*d*(d + e*x)**(5/2)/5 - (d + e*x)**(7/2)/7)/e**3 - 2*B*b**3*d*(d**4/sqrt(d + e*x) + 4*d**3*sqrt(d + e*x) - 2*d**2*(d + e*x)**(3/2) + 4*d*(d + e*x)**(5/2)/5 - (d + e*x)**(7/2)/7)/e**4 - 2*B*b**3*(-d**5/sqrt(d + e*x) - 5*d**4*sqrt(d + e*x) + 10*d**3*(d + e*x)**(3/2)/3 - 2*d**2*(d + e*x)**(5/2) + 5*d*(d + e*x)**(7/2)/7 - (d + e*x)**(9/2)/9)/e**4)/e, Ne(e, 0)), ((A*a**3*x + B*b**3*x**5/5 + x**4*(A*b**3 + 3*B*a*b**2)/4 + x**3*(3*A*a*b**2 + 3*B*a**2*b)/3 + x**2*(3*A*a**2*b + B*a**3)/2)/sqrt(d), True))","A",0
1739,1,255,0,62.683804," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**(3/2),x)","\frac{2 B b^{3} \left(d + e x\right)^{\frac{7}{2}}}{7 e^{5}} + \frac{\left(d + e x\right)^{\frac{5}{2}} \left(2 A b^{3} e + 6 B a b^{2} e - 8 B b^{3} d\right)}{5 e^{5}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(6 A a b^{2} e^{2} - 6 A b^{3} d e + 6 B a^{2} b e^{2} - 18 B a b^{2} d e + 12 B b^{3} d^{2}\right)}{3 e^{5}} + \frac{\sqrt{d + e x} \left(6 A a^{2} b e^{3} - 12 A a b^{2} d e^{2} + 6 A b^{3} d^{2} e + 2 B a^{3} e^{3} - 12 B a^{2} b d e^{2} + 18 B a b^{2} d^{2} e - 8 B b^{3} d^{3}\right)}{e^{5}} + \frac{2 \left(- A e + B d\right) \left(a e - b d\right)^{3}}{e^{5} \sqrt{d + e x}}"," ",0,"2*B*b**3*(d + e*x)**(7/2)/(7*e**5) + (d + e*x)**(5/2)*(2*A*b**3*e + 6*B*a*b**2*e - 8*B*b**3*d)/(5*e**5) + (d + e*x)**(3/2)*(6*A*a*b**2*e**2 - 6*A*b**3*d*e + 6*B*a**2*b*e**2 - 18*B*a*b**2*d*e + 12*B*b**3*d**2)/(3*e**5) + sqrt(d + e*x)*(6*A*a**2*b*e**3 - 12*A*a*b**2*d*e**2 + 6*A*b**3*d**2*e + 2*B*a**3*e**3 - 12*B*a**2*b*d*e**2 + 18*B*a*b**2*d**2*e - 8*B*b**3*d**3)/e**5 + 2*(-A*e + B*d)*(a*e - b*d)**3/(e**5*sqrt(d + e*x))","A",0
1740,1,199,0,84.190828," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**(5/2),x)","\frac{2 B b^{3} \left(d + e x\right)^{\frac{5}{2}}}{5 e^{5}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(2 A b^{3} e + 6 B a b^{2} e - 8 B b^{3} d\right)}{3 e^{5}} + \frac{\sqrt{d + e x} \left(6 A a b^{2} e^{2} - 6 A b^{3} d e + 6 B a^{2} b e^{2} - 18 B a b^{2} d e + 12 B b^{3} d^{2}\right)}{e^{5}} - \frac{2 \left(a e - b d\right)^{2} \left(3 A b e + B a e - 4 B b d\right)}{e^{5} \sqrt{d + e x}} + \frac{2 \left(- A e + B d\right) \left(a e - b d\right)^{3}}{3 e^{5} \left(d + e x\right)^{\frac{3}{2}}}"," ",0,"2*B*b**3*(d + e*x)**(5/2)/(5*e**5) + (d + e*x)**(3/2)*(2*A*b**3*e + 6*B*a*b**2*e - 8*B*b**3*d)/(3*e**5) + sqrt(d + e*x)*(6*A*a*b**2*e**2 - 6*A*b**3*d*e + 6*B*a**2*b*e**2 - 18*B*a*b**2*d*e + 12*B*b**3*d**2)/e**5 - 2*(a*e - b*d)**2*(3*A*b*e + B*a*e - 4*B*b*d)/(e**5*sqrt(d + e*x)) + 2*(-A*e + B*d)*(a*e - b*d)**3/(3*e**5*(d + e*x)**(3/2))","A",0
1741,1,1654,0,4.325533," ","integrate((b*x+a)**3*(B*x+A)/(e*x+d)**(7/2),x)","\begin{cases} - \frac{6 A a^{3} e^{4}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{12 A a^{2} b d e^{3}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{30 A a^{2} b e^{4} x}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{48 A a b^{2} d^{2} e^{2}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{120 A a b^{2} d e^{3} x}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{90 A a b^{2} e^{4} x^{2}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{96 A b^{3} d^{3} e}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{240 A b^{3} d^{2} e^{2} x}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{180 A b^{3} d e^{3} x^{2}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{30 A b^{3} e^{4} x^{3}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{4 B a^{3} d e^{3}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{10 B a^{3} e^{4} x}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{48 B a^{2} b d^{2} e^{2}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{120 B a^{2} b d e^{3} x}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{90 B a^{2} b e^{4} x^{2}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{288 B a b^{2} d^{3} e}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{720 B a b^{2} d^{2} e^{2} x}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{540 B a b^{2} d e^{3} x^{2}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{90 B a b^{2} e^{4} x^{3}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{256 B b^{3} d^{4}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{640 B b^{3} d^{3} e x}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{480 B b^{3} d^{2} e^{2} x^{2}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} - \frac{80 B b^{3} d e^{3} x^{3}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} + \frac{10 B b^{3} e^{4} x^{4}}{15 d^{2} e^{5} \sqrt{d + e x} + 30 d e^{6} x \sqrt{d + e x} + 15 e^{7} x^{2} \sqrt{d + e x}} & \text{for}\: e \neq 0 \\\frac{A a^{3} x + \frac{3 A a^{2} b x^{2}}{2} + A a b^{2} x^{3} + \frac{A b^{3} x^{4}}{4} + \frac{B a^{3} x^{2}}{2} + B a^{2} b x^{3} + \frac{3 B a b^{2} x^{4}}{4} + \frac{B b^{3} x^{5}}{5}}{d^{\frac{7}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-6*A*a**3*e**4/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 12*A*a**2*b*d*e**3/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 30*A*a**2*b*e**4*x/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 48*A*a*b**2*d**2*e**2/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 120*A*a*b**2*d*e**3*x/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 90*A*a*b**2*e**4*x**2/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 96*A*b**3*d**3*e/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 240*A*b**3*d**2*e**2*x/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 180*A*b**3*d*e**3*x**2/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 30*A*b**3*e**4*x**3/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 4*B*a**3*d*e**3/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 10*B*a**3*e**4*x/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 48*B*a**2*b*d**2*e**2/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 120*B*a**2*b*d*e**3*x/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 90*B*a**2*b*e**4*x**2/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 288*B*a*b**2*d**3*e/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 720*B*a*b**2*d**2*e**2*x/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 540*B*a*b**2*d*e**3*x**2/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 90*B*a*b**2*e**4*x**3/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 256*B*b**3*d**4/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 640*B*b**3*d**3*e*x/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 480*B*b**3*d**2*e**2*x**2/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) - 80*B*b**3*d*e**3*x**3/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)) + 10*B*b**3*e**4*x**4/(15*d**2*e**5*sqrt(d + e*x) + 30*d*e**6*x*sqrt(d + e*x) + 15*e**7*x**2*sqrt(d + e*x)), Ne(e, 0)), ((A*a**3*x + 3*A*a**2*b*x**2/2 + A*a*b**2*x**3 + A*b**3*x**4/4 + B*a**3*x**2/2 + B*a**2*b*x**3 + 3*B*a*b**2*x**4/4 + B*b**3*x**5/5)/d**(7/2), True))","A",0
1742,1,337,0,109.536067," ","integrate((B*x+A)*(e*x+d)**(7/2)/(b*x+a),x)","\frac{2 B \left(d + e x\right)^{\frac{9}{2}}}{9 b e} + \frac{\left(d + e x\right)^{\frac{7}{2}} \left(2 A b - 2 B a\right)}{7 b^{2}} + \frac{\left(d + e x\right)^{\frac{5}{2}} \left(- 2 A a b e + 2 A b^{2} d + 2 B a^{2} e - 2 B a b d\right)}{5 b^{3}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(2 A a^{2} b e^{2} - 4 A a b^{2} d e + 2 A b^{3} d^{2} - 2 B a^{3} e^{2} + 4 B a^{2} b d e - 2 B a b^{2} d^{2}\right)}{3 b^{4}} + \frac{\sqrt{d + e x} \left(- 2 A a^{3} b e^{3} + 6 A a^{2} b^{2} d e^{2} - 6 A a b^{3} d^{2} e + 2 A b^{4} d^{3} + 2 B a^{4} e^{3} - 6 B a^{3} b d e^{2} + 6 B a^{2} b^{2} d^{2} e - 2 B a b^{3} d^{3}\right)}{b^{5}} - \frac{2 \left(- A b + B a\right) \left(a e - b d\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e - b d}{b}}} \right)}}{b^{6} \sqrt{\frac{a e - b d}{b}}}"," ",0,"2*B*(d + e*x)**(9/2)/(9*b*e) + (d + e*x)**(7/2)*(2*A*b - 2*B*a)/(7*b**2) + (d + e*x)**(5/2)*(-2*A*a*b*e + 2*A*b**2*d + 2*B*a**2*e - 2*B*a*b*d)/(5*b**3) + (d + e*x)**(3/2)*(2*A*a**2*b*e**2 - 4*A*a*b**2*d*e + 2*A*b**3*d**2 - 2*B*a**3*e**2 + 4*B*a**2*b*d*e - 2*B*a*b**2*d**2)/(3*b**4) + sqrt(d + e*x)*(-2*A*a**3*b*e**3 + 6*A*a**2*b**2*d*e**2 - 6*A*a*b**3*d**2*e + 2*A*b**4*d**3 + 2*B*a**4*e**3 - 6*B*a**3*b*d*e**2 + 6*B*a**2*b**2*d**2*e - 2*B*a*b**3*d**3)/b**5 - 2*(-A*b + B*a)*(a*e - b*d)**4*atan(sqrt(d + e*x)/sqrt((a*e - b*d)/b))/(b**6*sqrt((a*e - b*d)/b))","A",0
1743,1,221,0,70.738094," ","integrate((B*x+A)*(e*x+d)**(5/2)/(b*x+a),x)","\frac{2 B \left(d + e x\right)^{\frac{7}{2}}}{7 b e} + \frac{\left(d + e x\right)^{\frac{5}{2}} \left(2 A b - 2 B a\right)}{5 b^{2}} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(- 2 A a b e + 2 A b^{2} d + 2 B a^{2} e - 2 B a b d\right)}{3 b^{3}} + \frac{\sqrt{d + e x} \left(2 A a^{2} b e^{2} - 4 A a b^{2} d e + 2 A b^{3} d^{2} - 2 B a^{3} e^{2} + 4 B a^{2} b d e - 2 B a b^{2} d^{2}\right)}{b^{4}} + \frac{2 \left(- A b + B a\right) \left(a e - b d\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e - b d}{b}}} \right)}}{b^{5} \sqrt{\frac{a e - b d}{b}}}"," ",0,"2*B*(d + e*x)**(7/2)/(7*b*e) + (d + e*x)**(5/2)*(2*A*b - 2*B*a)/(5*b**2) + (d + e*x)**(3/2)*(-2*A*a*b*e + 2*A*b**2*d + 2*B*a**2*e - 2*B*a*b*d)/(3*b**3) + sqrt(d + e*x)*(2*A*a**2*b*e**2 - 4*A*a*b**2*d*e + 2*A*b**3*d**2 - 2*B*a**3*e**2 + 4*B*a**2*b*d*e - 2*B*a*b**2*d**2)/b**4 + 2*(-A*b + B*a)*(a*e - b*d)**3*atan(sqrt(d + e*x)/sqrt((a*e - b*d)/b))/(b**5*sqrt((a*e - b*d)/b))","A",0
1744,1,139,0,41.169154," ","integrate((B*x+A)*(e*x+d)**(3/2)/(b*x+a),x)","\frac{2 B \left(d + e x\right)^{\frac{5}{2}}}{5 b e} + \frac{\left(d + e x\right)^{\frac{3}{2}} \left(2 A b - 2 B a\right)}{3 b^{2}} + \frac{\sqrt{d + e x} \left(- 2 A a b e + 2 A b^{2} d + 2 B a^{2} e - 2 B a b d\right)}{b^{3}} - \frac{2 \left(- A b + B a\right) \left(a e - b d\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e - b d}{b}}} \right)}}{b^{4} \sqrt{\frac{a e - b d}{b}}}"," ",0,"2*B*(d + e*x)**(5/2)/(5*b*e) + (d + e*x)**(3/2)*(2*A*b - 2*B*a)/(3*b**2) + sqrt(d + e*x)*(-2*A*a*b*e + 2*A*b**2*d + 2*B*a**2*e - 2*B*a*b*d)/b**3 - 2*(-A*b + B*a)*(a*e - b*d)**2*atan(sqrt(d + e*x)/sqrt((a*e - b*d)/b))/(b**4*sqrt((a*e - b*d)/b))","A",0
1745,1,94,0,9.068658," ","integrate((B*x+A)*(e*x+d)**(1/2)/(b*x+a),x)","\frac{2 \left(\frac{B \left(d + e x\right)^{\frac{3}{2}}}{3 b} + \frac{\sqrt{d + e x} \left(A b e - B a e\right)}{b^{2}} + \frac{e \left(- A b + B a\right) \left(a e - b d\right) \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e - b d}{b}}} \right)}}{b^{3} \sqrt{\frac{a e - b d}{b}}}\right)}{e}"," ",0,"2*(B*(d + e*x)**(3/2)/(3*b) + sqrt(d + e*x)*(A*b*e - B*a*e)/b**2 + e*(-A*b + B*a)*(a*e - b*d)*atan(sqrt(d + e*x)/sqrt((a*e - b*d)/b))/(b**3*sqrt((a*e - b*d)/b)))/e","A",0
1746,1,66,0,17.557940," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**(1/2),x)","\frac{2 B \sqrt{d + e x}}{b e} + \frac{2 \left(- A b + B a\right) \operatorname{atan}{\left(\frac{1}{\sqrt{\frac{b}{a e - b d}} \sqrt{d + e x}} \right)}}{b \sqrt{\frac{b}{a e - b d}} \left(a e - b d\right)}"," ",0,"2*B*sqrt(d + e*x)/(b*e) + 2*(-A*b + B*a)*atan(1/(sqrt(b/(a*e - b*d))*sqrt(d + e*x)))/(b*sqrt(b/(a*e - b*d))*(a*e - b*d))","A",0
1747,1,76,0,30.163154," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**(3/2),x)","\frac{2 \left(- A e + B d\right)}{e \sqrt{d + e x} \left(a e - b d\right)} + \frac{2 \left(- A b + B a\right) \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e - b d}{b}}} \right)}}{b \sqrt{\frac{a e - b d}{b}} \left(a e - b d\right)}"," ",0,"2*(-A*e + B*d)/(e*sqrt(d + e*x)*(a*e - b*d)) + 2*(-A*b + B*a)*atan(sqrt(d + e*x)/sqrt((a*e - b*d)/b))/(b*sqrt((a*e - b*d)/b)*(a*e - b*d))","A",0
1748,1,105,0,43.568521," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**(5/2),x)","- \frac{2 \left(- A b + B a\right)}{\sqrt{d + e x} \left(a e - b d\right)^{2}} - \frac{2 \left(- A b + B a\right) \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e - b d}{b}}} \right)}}{\sqrt{\frac{a e - b d}{b}} \left(a e - b d\right)^{2}} + \frac{2 \left(- A e + B d\right)}{3 e \left(d + e x\right)^{\frac{3}{2}} \left(a e - b d\right)}"," ",0,"-2*(-A*b + B*a)/(sqrt(d + e*x)*(a*e - b*d)**2) - 2*(-A*b + B*a)*atan(sqrt(d + e*x)/sqrt((a*e - b*d)/b))/(sqrt((a*e - b*d)/b)*(a*e - b*d)**2) + 2*(-A*e + B*d)/(3*e*(d + e*x)**(3/2)*(a*e - b*d))","A",0
1749,1,136,0,51.984062," ","integrate((B*x+A)/(b*x+a)/(e*x+d)**(7/2),x)","\frac{2 b \left(- A b + B a\right)}{\sqrt{d + e x} \left(a e - b d\right)^{3}} + \frac{2 b \left(- A b + B a\right) \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e - b d}{b}}} \right)}}{\sqrt{\frac{a e - b d}{b}} \left(a e - b d\right)^{3}} - \frac{2 \left(- A b + B a\right)}{3 \left(d + e x\right)^{\frac{3}{2}} \left(a e - b d\right)^{2}} + \frac{2 \left(- A e + B d\right)}{5 e \left(d + e x\right)^{\frac{5}{2}} \left(a e - b d\right)}"," ",0,"2*b*(-A*b + B*a)/(sqrt(d + e*x)*(a*e - b*d)**3) + 2*b*(-A*b + B*a)*atan(sqrt(d + e*x)/sqrt((a*e - b*d)/b))/(sqrt((a*e - b*d)/b)*(a*e - b*d)**3) - 2*(-A*b + B*a)/(3*(d + e*x)**(3/2)*(a*e - b*d)**2) + 2*(-A*e + B*d)/(5*e*(d + e*x)**(5/2)*(a*e - b*d))","A",0
1750,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(7/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1751,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(5/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1752,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(3/2)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1753,1,1251,0,111.755252," ","integrate((B*x+A)*(e*x+d)**(1/2)/(b*x+a)**2,x)","- \frac{2 A a e^{2} \sqrt{d + e x}}{2 a^{2} b e^{2} - 2 a b^{2} d e + 2 a b^{2} e^{2} x - 2 b^{3} d e x} + \frac{A a e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(- a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2 b} - \frac{A a e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2 b} - \frac{A d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(- a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2} + \frac{A d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2} + \frac{2 A d e \sqrt{d + e x}}{2 a^{2} e^{2} - 2 a b d e + 2 a b e^{2} x - 2 b^{2} d e x} + \frac{2 A e \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e}{b} - d}} \right)}}{b^{2} \sqrt{\frac{a e}{b} - d}} + \frac{2 B a^{2} e^{2} \sqrt{d + e x}}{2 a^{2} b^{2} e^{2} - 2 a b^{3} d e + 2 a b^{3} e^{2} x - 2 b^{4} d e x} - \frac{B a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(- a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2 b^{2}} + \frac{B a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2 b^{2}} - \frac{2 B a d e \sqrt{d + e x}}{2 a^{2} b e^{2} - 2 a b^{2} d e + 2 a b^{2} e^{2} x - 2 b^{3} d e x} + \frac{B a d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(- a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2 b} - \frac{B a d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} \log{\left(a^{2} e^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} - 2 a b d e \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + b^{2} d^{2} \sqrt{- \frac{1}{b \left(a e - b d\right)^{3}}} + \sqrt{d + e x} \right)}}{2 b} - \frac{4 B a e \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e}{b} - d}} \right)}}{b^{3} \sqrt{\frac{a e}{b} - d}} + \frac{2 B d \operatorname{atan}{\left(\frac{\sqrt{d + e x}}{\sqrt{\frac{a e}{b} - d}} \right)}}{b^{2} \sqrt{\frac{a e}{b} - d}} + \frac{2 B \sqrt{d + e x}}{b^{2}}"," ",0,"-2*A*a*e**2*sqrt(d + e*x)/(2*a**2*b*e**2 - 2*a*b**2*d*e + 2*a*b**2*e**2*x - 2*b**3*d*e*x) + A*a*e**2*sqrt(-1/(b*(a*e - b*d)**3))*log(-a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) + 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) - b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/(2*b) - A*a*e**2*sqrt(-1/(b*(a*e - b*d)**3))*log(a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) - 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) + b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/(2*b) - A*d*e*sqrt(-1/(b*(a*e - b*d)**3))*log(-a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) + 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) - b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/2 + A*d*e*sqrt(-1/(b*(a*e - b*d)**3))*log(a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) - 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) + b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/2 + 2*A*d*e*sqrt(d + e*x)/(2*a**2*e**2 - 2*a*b*d*e + 2*a*b*e**2*x - 2*b**2*d*e*x) + 2*A*e*atan(sqrt(d + e*x)/sqrt(a*e/b - d))/(b**2*sqrt(a*e/b - d)) + 2*B*a**2*e**2*sqrt(d + e*x)/(2*a**2*b**2*e**2 - 2*a*b**3*d*e + 2*a*b**3*e**2*x - 2*b**4*d*e*x) - B*a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3))*log(-a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) + 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) - b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/(2*b**2) + B*a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3))*log(a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) - 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) + b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/(2*b**2) - 2*B*a*d*e*sqrt(d + e*x)/(2*a**2*b*e**2 - 2*a*b**2*d*e + 2*a*b**2*e**2*x - 2*b**3*d*e*x) + B*a*d*e*sqrt(-1/(b*(a*e - b*d)**3))*log(-a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) + 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) - b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/(2*b) - B*a*d*e*sqrt(-1/(b*(a*e - b*d)**3))*log(a**2*e**2*sqrt(-1/(b*(a*e - b*d)**3)) - 2*a*b*d*e*sqrt(-1/(b*(a*e - b*d)**3)) + b**2*d**2*sqrt(-1/(b*(a*e - b*d)**3)) + sqrt(d + e*x))/(2*b) - 4*B*a*e*atan(sqrt(d + e*x)/sqrt(a*e/b - d))/(b**3*sqrt(a*e/b - d)) + 2*B*d*atan(sqrt(d + e*x)/sqrt(a*e/b - d))/(b**2*sqrt(a*e/b - d)) + 2*B*sqrt(d + e*x)/b**2","B",0
1754,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1755,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1756,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1757,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**2/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1758,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(7/2)/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1759,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(5/2)/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1760,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(3/2)/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1761,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(1/2)/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1762,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1763,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1764,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1765,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**3/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1766,1,221,0,69.784752," ","integrate((b*x+a)*(f*x+e)**(5/2)/(d*x+c),x)","\frac{2 b \left(e + f x\right)^{\frac{7}{2}}}{7 d f} + \frac{\left(e + f x\right)^{\frac{5}{2}} \left(2 a d - 2 b c\right)}{5 d^{2}} + \frac{\left(e + f x\right)^{\frac{3}{2}} \left(- 2 a c d f + 2 a d^{2} e + 2 b c^{2} f - 2 b c d e\right)}{3 d^{3}} + \frac{\sqrt{e + f x} \left(2 a c^{2} d f^{2} - 4 a c d^{2} e f + 2 a d^{3} e^{2} - 2 b c^{3} f^{2} + 4 b c^{2} d e f - 2 b c d^{2} e^{2}\right)}{d^{4}} - \frac{2 \left(a d - b c\right) \left(c f - d e\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{5} \sqrt{\frac{c f - d e}{d}}}"," ",0,"2*b*(e + f*x)**(7/2)/(7*d*f) + (e + f*x)**(5/2)*(2*a*d - 2*b*c)/(5*d**2) + (e + f*x)**(3/2)*(-2*a*c*d*f + 2*a*d**2*e + 2*b*c**2*f - 2*b*c*d*e)/(3*d**3) + sqrt(e + f*x)*(2*a*c**2*d*f**2 - 4*a*c*d**2*e*f + 2*a*d**3*e**2 - 2*b*c**3*f**2 + 4*b*c**2*d*e*f - 2*b*c*d**2*e**2)/d**4 - 2*(a*d - b*c)*(c*f - d*e)**3*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**5*sqrt((c*f - d*e)/d))","A",0
1767,1,139,0,40.658485," ","integrate((b*x+a)*(f*x+e)**(3/2)/(d*x+c),x)","\frac{2 b \left(e + f x\right)^{\frac{5}{2}}}{5 d f} + \frac{\left(e + f x\right)^{\frac{3}{2}} \left(2 a d - 2 b c\right)}{3 d^{2}} + \frac{\sqrt{e + f x} \left(- 2 a c d f + 2 a d^{2} e + 2 b c^{2} f - 2 b c d e\right)}{d^{3}} + \frac{2 \left(a d - b c\right) \left(c f - d e\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{4} \sqrt{\frac{c f - d e}{d}}}"," ",0,"2*b*(e + f*x)**(5/2)/(5*d*f) + (e + f*x)**(3/2)*(2*a*d - 2*b*c)/(3*d**2) + sqrt(e + f*x)*(-2*a*c*d*f + 2*a*d**2*e + 2*b*c**2*f - 2*b*c*d*e)/d**3 + 2*(a*d - b*c)*(c*f - d*e)**2*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**4*sqrt((c*f - d*e)/d))","A",0
1768,1,94,0,8.632272," ","integrate((b*x+a)*(f*x+e)**(1/2)/(d*x+c),x)","\frac{2 \left(\frac{b \left(e + f x\right)^{\frac{3}{2}}}{3 d} + \frac{\sqrt{e + f x} \left(a d f - b c f\right)}{d^{2}} - \frac{f \left(a d - b c\right) \left(c f - d e\right) \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{3} \sqrt{\frac{c f - d e}{d}}}\right)}{f}"," ",0,"2*(b*(e + f*x)**(3/2)/(3*d) + sqrt(e + f*x)*(a*d*f - b*c*f)/d**2 - f*(a*d - b*c)*(c*f - d*e)*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**3*sqrt((c*f - d*e)/d)))/f","A",0
1769,1,66,0,17.338061," ","integrate((b*x+a)/(d*x+c)/(f*x+e)**(1/2),x)","\frac{2 b \sqrt{e + f x}}{d f} - \frac{2 \left(a d - b c\right) \operatorname{atan}{\left(\frac{1}{\sqrt{\frac{d}{c f - d e}} \sqrt{e + f x}} \right)}}{d \sqrt{\frac{d}{c f - d e}} \left(c f - d e\right)}"," ",0,"2*b*sqrt(e + f*x)/(d*f) - 2*(a*d - b*c)*atan(1/(sqrt(d/(c*f - d*e))*sqrt(e + f*x)))/(d*sqrt(d/(c*f - d*e))*(c*f - d*e))","A",0
1770,1,78,0,30.545739," ","integrate((b*x+a)/(d*x+c)/(f*x+e)**(3/2),x)","- \frac{2 \left(a f - b e\right)}{f \sqrt{e + f x} \left(c f - d e\right)} - \frac{2 \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d \sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)}"," ",0,"-2*(a*f - b*e)/(f*sqrt(e + f*x)*(c*f - d*e)) - 2*(a*d - b*c)*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d*sqrt((c*f - d*e)/d)*(c*f - d*e))","A",0
1771,1,105,0,41.786757," ","integrate((b*x+a)/(d*x+c)/(f*x+e)**(5/2),x)","\frac{2 \left(a d - b c\right)}{\sqrt{e + f x} \left(c f - d e\right)^{2}} + \frac{2 \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{\sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)^{2}} - \frac{2 \left(a f - b e\right)}{3 f \left(e + f x\right)^{\frac{3}{2}} \left(c f - d e\right)}"," ",0,"2*(a*d - b*c)/(sqrt(e + f*x)*(c*f - d*e)**2) + 2*(a*d - b*c)*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(sqrt((c*f - d*e)/d)*(c*f - d*e)**2) - 2*(a*f - b*e)/(3*f*(e + f*x)**(3/2)*(c*f - d*e))","A",0
1772,1,136,0,49.921812," ","integrate((b*x+a)/(d*x+c)/(f*x+e)**(7/2),x)","- \frac{2 d \left(a d - b c\right)}{\sqrt{e + f x} \left(c f - d e\right)^{3}} - \frac{2 d \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{\sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)^{3}} + \frac{2 \left(a d - b c\right)}{3 \left(e + f x\right)^{\frac{3}{2}} \left(c f - d e\right)^{2}} - \frac{2 \left(a f - b e\right)}{5 f \left(e + f x\right)^{\frac{5}{2}} \left(c f - d e\right)}"," ",0,"-2*d*(a*d - b*c)/(sqrt(e + f*x)*(c*f - d*e)**3) - 2*d*(a*d - b*c)*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(sqrt((c*f - d*e)/d)*(c*f - d*e)**3) + 2*(a*d - b*c)/(3*(e + f*x)**(3/2)*(c*f - d*e)**2) - 2*(a*f - b*e)/(5*f*(e + f*x)**(5/2)*(c*f - d*e))","A",0
1773,1,168,0,60.091153," ","integrate((b*x+a)/(d*x+c)/(f*x+e)**(9/2),x)","\frac{2 d^{2} \left(a d - b c\right)}{\sqrt{e + f x} \left(c f - d e\right)^{4}} + \frac{2 d^{2} \left(a d - b c\right) \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{\sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)^{4}} - \frac{2 d \left(a d - b c\right)}{3 \left(e + f x\right)^{\frac{3}{2}} \left(c f - d e\right)^{3}} + \frac{2 \left(a d - b c\right)}{5 \left(e + f x\right)^{\frac{5}{2}} \left(c f - d e\right)^{2}} - \frac{2 \left(a f - b e\right)}{7 f \left(e + f x\right)^{\frac{7}{2}} \left(c f - d e\right)}"," ",0,"2*d**2*(a*d - b*c)/(sqrt(e + f*x)*(c*f - d*e)**4) + 2*d**2*(a*d - b*c)*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(sqrt((c*f - d*e)/d)*(c*f - d*e)**4) - 2*d*(a*d - b*c)/(3*(e + f*x)**(3/2)*(c*f - d*e)**3) + 2*(a*d - b*c)/(5*(e + f*x)**(5/2)*(c*f - d*e)**2) - 2*(a*f - b*e)/(7*f*(e + f*x)**(7/2)*(c*f - d*e))","A",0
1774,1,374,0,119.334527," ","integrate((b*x+a)**2*(f*x+e)**(5/2)/(d*x+c),x)","\frac{2 b^{2} \left(e + f x\right)^{\frac{9}{2}}}{9 d f^{2}} + \frac{\left(e + f x\right)^{\frac{7}{2}} \left(4 a b d f - 2 b^{2} c f - 2 b^{2} d e\right)}{7 d^{2} f^{2}} + \frac{\left(e + f x\right)^{\frac{5}{2}} \left(2 a^{2} d^{2} - 4 a b c d + 2 b^{2} c^{2}\right)}{5 d^{3}} + \frac{\left(e + f x\right)^{\frac{3}{2}} \left(- 2 a^{2} c d^{2} f + 2 a^{2} d^{3} e + 4 a b c^{2} d f - 4 a b c d^{2} e - 2 b^{2} c^{3} f + 2 b^{2} c^{2} d e\right)}{3 d^{4}} + \frac{\sqrt{e + f x} \left(2 a^{2} c^{2} d^{2} f^{2} - 4 a^{2} c d^{3} e f + 2 a^{2} d^{4} e^{2} - 4 a b c^{3} d f^{2} + 8 a b c^{2} d^{2} e f - 4 a b c d^{3} e^{2} + 2 b^{2} c^{4} f^{2} - 4 b^{2} c^{3} d e f + 2 b^{2} c^{2} d^{2} e^{2}\right)}{d^{5}} - \frac{2 \left(a d - b c\right)^{2} \left(c f - d e\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{6} \sqrt{\frac{c f - d e}{d}}}"," ",0,"2*b**2*(e + f*x)**(9/2)/(9*d*f**2) + (e + f*x)**(7/2)*(4*a*b*d*f - 2*b**2*c*f - 2*b**2*d*e)/(7*d**2*f**2) + (e + f*x)**(5/2)*(2*a**2*d**2 - 4*a*b*c*d + 2*b**2*c**2)/(5*d**3) + (e + f*x)**(3/2)*(-2*a**2*c*d**2*f + 2*a**2*d**3*e + 4*a*b*c**2*d*f - 4*a*b*c*d**2*e - 2*b**2*c**3*f + 2*b**2*c**2*d*e)/(3*d**4) + sqrt(e + f*x)*(2*a**2*c**2*d**2*f**2 - 4*a**2*c*d**3*e*f + 2*a**2*d**4*e**2 - 4*a*b*c**3*d*f**2 + 8*a*b*c**2*d**2*e*f - 4*a*b*c*d**3*e**2 + 2*b**2*c**4*f**2 - 4*b**2*c**3*d*e*f + 2*b**2*c**2*d**2*e**2)/d**5 - 2*(a*d - b*c)**2*(c*f - d*e)**3*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**6*sqrt((c*f - d*e)/d))","A",0
1775,1,236,0,70.191873," ","integrate((b*x+a)**2*(f*x+e)**(3/2)/(d*x+c),x)","\frac{2 b^{2} \left(e + f x\right)^{\frac{7}{2}}}{7 d f^{2}} + \frac{\left(e + f x\right)^{\frac{5}{2}} \left(4 a b d f - 2 b^{2} c f - 2 b^{2} d e\right)}{5 d^{2} f^{2}} + \frac{\left(e + f x\right)^{\frac{3}{2}} \left(2 a^{2} d^{2} - 4 a b c d + 2 b^{2} c^{2}\right)}{3 d^{3}} + \frac{\sqrt{e + f x} \left(- 2 a^{2} c d^{2} f + 2 a^{2} d^{3} e + 4 a b c^{2} d f - 4 a b c d^{2} e - 2 b^{2} c^{3} f + 2 b^{2} c^{2} d e\right)}{d^{4}} + \frac{2 \left(a d - b c\right)^{2} \left(c f - d e\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{5} \sqrt{\frac{c f - d e}{d}}}"," ",0,"2*b**2*(e + f*x)**(7/2)/(7*d*f**2) + (e + f*x)**(5/2)*(4*a*b*d*f - 2*b**2*c*f - 2*b**2*d*e)/(5*d**2*f**2) + (e + f*x)**(3/2)*(2*a**2*d**2 - 4*a*b*c*d + 2*b**2*c**2)/(3*d**3) + sqrt(e + f*x)*(-2*a**2*c*d**2*f + 2*a**2*d**3*e + 4*a*b*c**2*d*f - 4*a*b*c*d**2*e - 2*b**2*c**3*f + 2*b**2*c**2*d*e)/d**4 + 2*(a*d - b*c)**2*(c*f - d*e)**2*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**5*sqrt((c*f - d*e)/d))","A",0
1776,1,155,0,10.269377," ","integrate((b*x+a)**2*(f*x+e)**(1/2)/(d*x+c),x)","\frac{2 \left(\frac{b^{2} \left(e + f x\right)^{\frac{5}{2}}}{5 d f} + \frac{\left(e + f x\right)^{\frac{3}{2}} \left(2 a b d f - b^{2} c f - b^{2} d e\right)}{3 d^{2} f} + \frac{\sqrt{e + f x} \left(a^{2} d^{2} f - 2 a b c d f + b^{2} c^{2} f\right)}{d^{3}} - \frac{f \left(a d - b c\right)^{2} \left(c f - d e\right) \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{4} \sqrt{\frac{c f - d e}{d}}}\right)}{f}"," ",0,"2*(b**2*(e + f*x)**(5/2)/(5*d*f) + (e + f*x)**(3/2)*(2*a*b*d*f - b**2*c*f - b**2*d*e)/(3*d**2*f) + sqrt(e + f*x)*(a**2*d**2*f - 2*a*b*c*d*f + b**2*c**2*f)/d**3 - f*(a*d - b*c)**2*(c*f - d*e)*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**4*sqrt((c*f - d*e)/d)))/f","A",0
1777,1,110,0,38.436995," ","integrate((b*x+a)**2/(d*x+c)/(f*x+e)**(1/2),x)","\frac{2 b^{2} \left(e + f x\right)^{\frac{3}{2}}}{3 d f^{2}} + \frac{2 b \sqrt{e + f x} \left(2 a d f - b c f - b d e\right)}{d^{2} f^{2}} - \frac{2 \left(a d - b c\right)^{2} \operatorname{atan}{\left(\frac{1}{\sqrt{\frac{d}{c f - d e}} \sqrt{e + f x}} \right)}}{d^{2} \sqrt{\frac{d}{c f - d e}} \left(c f - d e\right)}"," ",0,"2*b**2*(e + f*x)**(3/2)/(3*d*f**2) + 2*b*sqrt(e + f*x)*(2*a*d*f - b*c*f - b*d*e)/(d**2*f**2) - 2*(a*d - b*c)**2*atan(1/(sqrt(d/(c*f - d*e))*sqrt(e + f*x)))/(d**2*sqrt(d/(c*f - d*e))*(c*f - d*e))","A",0
1778,1,100,0,53.452135," ","integrate((b*x+a)**2/(d*x+c)/(f*x+e)**(3/2),x)","\frac{2 b^{2} \sqrt{e + f x}}{d f^{2}} - \frac{2 \left(a f - b e\right)^{2}}{f^{2} \sqrt{e + f x} \left(c f - d e\right)} - \frac{2 \left(a d - b c\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{2} \sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)}"," ",0,"2*b**2*sqrt(e + f*x)/(d*f**2) - 2*(a*f - b*e)**2/(f**2*sqrt(e + f*x)*(c*f - d*e)) - 2*(a*d - b*c)**2*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**2*sqrt((c*f - d*e)/d)*(c*f - d*e))","A",0
1779,1,129,0,114.344243," ","integrate((b*x+a)**2/(d*x+c)/(f*x+e)**(5/2),x)","\frac{2 \left(a f - b e\right) \left(a d f - 2 b c f + b d e\right)}{f^{2} \sqrt{e + f x} \left(c f - d e\right)^{2}} - \frac{2 \left(a f - b e\right)^{2}}{3 f^{2} \left(e + f x\right)^{\frac{3}{2}} \left(c f - d e\right)} + \frac{2 \left(a d - b c\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d \sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)^{2}}"," ",0,"2*(a*f - b*e)*(a*d*f - 2*b*c*f + b*d*e)/(f**2*sqrt(e + f*x)*(c*f - d*e)**2) - 2*(a*f - b*e)**2/(3*f**2*(e + f*x)**(3/2)*(c*f - d*e)) + 2*(a*d - b*c)**2*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d*sqrt((c*f - d*e)/d)*(c*f - d*e)**2)","A",0
1780,-1,0,0,0.000000," ","integrate((b*x+a)**2/(d*x+c)/(f*x+e)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1781,-1,0,0,0.000000," ","integrate((b*x+a)**2/(d*x+c)/(f*x+e)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1782,-1,0,0,0.000000," ","integrate((b*x+a)**3*(f*x+e)**(5/2)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1783,1,381,0,119.263912," ","integrate((b*x+a)**3*(f*x+e)**(3/2)/(d*x+c),x)","\frac{2 b^{3} \left(e + f x\right)^{\frac{9}{2}}}{9 d f^{3}} + \frac{\left(e + f x\right)^{\frac{7}{2}} \left(6 a b^{2} d f - 2 b^{3} c f - 4 b^{3} d e\right)}{7 d^{2} f^{3}} + \frac{\left(e + f x\right)^{\frac{5}{2}} \left(6 a^{2} b d^{2} f^{2} - 6 a b^{2} c d f^{2} - 6 a b^{2} d^{2} e f + 2 b^{3} c^{2} f^{2} + 2 b^{3} c d e f + 2 b^{3} d^{2} e^{2}\right)}{5 d^{3} f^{3}} + \frac{\left(e + f x\right)^{\frac{3}{2}} \left(2 a^{3} d^{3} - 6 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - 2 b^{3} c^{3}\right)}{3 d^{4}} + \frac{\sqrt{e + f x} \left(- 2 a^{3} c d^{3} f + 2 a^{3} d^{4} e + 6 a^{2} b c^{2} d^{2} f - 6 a^{2} b c d^{3} e - 6 a b^{2} c^{3} d f + 6 a b^{2} c^{2} d^{2} e + 2 b^{3} c^{4} f - 2 b^{3} c^{3} d e\right)}{d^{5}} + \frac{2 \left(a d - b c\right)^{3} \left(c f - d e\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{6} \sqrt{\frac{c f - d e}{d}}}"," ",0,"2*b**3*(e + f*x)**(9/2)/(9*d*f**3) + (e + f*x)**(7/2)*(6*a*b**2*d*f - 2*b**3*c*f - 4*b**3*d*e)/(7*d**2*f**3) + (e + f*x)**(5/2)*(6*a**2*b*d**2*f**2 - 6*a*b**2*c*d*f**2 - 6*a*b**2*d**2*e*f + 2*b**3*c**2*f**2 + 2*b**3*c*d*e*f + 2*b**3*d**2*e**2)/(5*d**3*f**3) + (e + f*x)**(3/2)*(2*a**3*d**3 - 6*a**2*b*c*d**2 + 6*a*b**2*c**2*d - 2*b**3*c**3)/(3*d**4) + sqrt(e + f*x)*(-2*a**3*c*d**3*f + 2*a**3*d**4*e + 6*a**2*b*c**2*d**2*f - 6*a**2*b*c*d**3*e - 6*a*b**2*c**3*d*f + 6*a*b**2*c**2*d**2*e + 2*b**3*c**4*f - 2*b**3*c**3*d*e)/d**5 + 2*(a*d - b*c)**3*(c*f - d*e)**2*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**6*sqrt((c*f - d*e)/d))","A",0
1784,1,269,0,16.409630," ","integrate((b*x+a)**3*(f*x+e)**(1/2)/(d*x+c),x)","\frac{2 \left(\frac{b^{3} \left(e + f x\right)^{\frac{7}{2}}}{7 d f^{2}} + \frac{\left(e + f x\right)^{\frac{5}{2}} \left(3 a b^{2} d f - b^{3} c f - 2 b^{3} d e\right)}{5 d^{2} f^{2}} + \frac{\left(e + f x\right)^{\frac{3}{2}} \left(3 a^{2} b d^{2} f^{2} - 3 a b^{2} c d f^{2} - 3 a b^{2} d^{2} e f + b^{3} c^{2} f^{2} + b^{3} c d e f + b^{3} d^{2} e^{2}\right)}{3 d^{3} f^{2}} + \frac{\sqrt{e + f x} \left(a^{3} d^{3} f - 3 a^{2} b c d^{2} f + 3 a b^{2} c^{2} d f - b^{3} c^{3} f\right)}{d^{4}} - \frac{f \left(a d - b c\right)^{3} \left(c f - d e\right) \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{5} \sqrt{\frac{c f - d e}{d}}}\right)}{f}"," ",0,"2*(b**3*(e + f*x)**(7/2)/(7*d*f**2) + (e + f*x)**(5/2)*(3*a*b**2*d*f - b**3*c*f - 2*b**3*d*e)/(5*d**2*f**2) + (e + f*x)**(3/2)*(3*a**2*b*d**2*f**2 - 3*a*b**2*c*d*f**2 - 3*a*b**2*d**2*e*f + b**3*c**2*f**2 + b**3*c*d*e*f + b**3*d**2*e**2)/(3*d**3*f**2) + sqrt(e + f*x)*(a**3*d**3*f - 3*a**2*b*c*d**2*f + 3*a*b**2*c**2*d*f - b**3*c**3*f)/d**4 - f*(a*d - b*c)**3*(c*f - d*e)*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**5*sqrt((c*f - d*e)/d)))/f","A",0
1785,1,201,0,67.013236," ","integrate((b*x+a)**3/(d*x+c)/(f*x+e)**(1/2),x)","\frac{2 b^{3} \left(e + f x\right)^{\frac{5}{2}}}{5 d f^{3}} + \frac{2 b^{2} \left(e + f x\right)^{\frac{3}{2}} \left(3 a d f - b c f - 2 b d e\right)}{3 d^{2} f^{3}} + \frac{2 b \sqrt{e + f x} \left(3 a^{2} d^{2} f^{2} - 3 a b c d f^{2} - 3 a b d^{2} e f + b^{2} c^{2} f^{2} + b^{2} c d e f + b^{2} d^{2} e^{2}\right)}{d^{3} f^{3}} - \frac{2 \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{1}{\sqrt{\frac{d}{c f - d e}} \sqrt{e + f x}} \right)}}{d^{3} \sqrt{\frac{d}{c f - d e}} \left(c f - d e\right)}"," ",0,"2*b**3*(e + f*x)**(5/2)/(5*d*f**3) + 2*b**2*(e + f*x)**(3/2)*(3*a*d*f - b*c*f - 2*b*d*e)/(3*d**2*f**3) + 2*b*sqrt(e + f*x)*(3*a**2*d**2*f**2 - 3*a*b*c*d*f**2 - 3*a*b*d**2*e*f + b**2*c**2*f**2 + b**2*c*d*e*f + b**2*d**2*e**2)/(d**3*f**3) - 2*(a*d - b*c)**3*atan(1/(sqrt(d/(c*f - d*e))*sqrt(e + f*x)))/(d**3*sqrt(d/(c*f - d*e))*(c*f - d*e))","A",0
1786,1,144,0,93.729647," ","integrate((b*x+a)**3/(d*x+c)/(f*x+e)**(3/2),x)","\frac{2 b^{3} \left(e + f x\right)^{\frac{3}{2}}}{3 d f^{3}} - \frac{2 \left(a f - b e\right)^{3}}{f^{3} \sqrt{e + f x} \left(c f - d e\right)} + \frac{\sqrt{e + f x} \left(6 a b^{2} d f - 2 b^{3} c f - 4 b^{3} d e\right)}{d^{2} f^{3}} - \frac{2 \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{3} \sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)}"," ",0,"2*b**3*(e + f*x)**(3/2)/(3*d*f**3) - 2*(a*f - b*e)**3/(f**3*sqrt(e + f*x)*(c*f - d*e)) + sqrt(e + f*x)*(6*a*b**2*d*f - 2*b**3*c*f - 4*b**3*d*e)/(d**2*f**3) - 2*(a*d - b*c)**3*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**3*sqrt((c*f - d*e)/d)*(c*f - d*e))","A",0
1787,1,153,0,154.332871," ","integrate((b*x+a)**3/(d*x+c)/(f*x+e)**(5/2),x)","\frac{2 b^{3} \sqrt{e + f x}}{d f^{3}} + \frac{2 \left(a f - b e\right)^{2} \left(a d f - 3 b c f + 2 b d e\right)}{f^{3} \sqrt{e + f x} \left(c f - d e\right)^{2}} - \frac{2 \left(a f - b e\right)^{3}}{3 f^{3} \left(e + f x\right)^{\frac{3}{2}} \left(c f - d e\right)} + \frac{2 \left(a d - b c\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{e + f x}}{\sqrt{\frac{c f - d e}{d}}} \right)}}{d^{2} \sqrt{\frac{c f - d e}{d}} \left(c f - d e\right)^{2}}"," ",0,"2*b**3*sqrt(e + f*x)/(d*f**3) + 2*(a*f - b*e)**2*(a*d*f - 3*b*c*f + 2*b*d*e)/(f**3*sqrt(e + f*x)*(c*f - d*e)**2) - 2*(a*f - b*e)**3/(3*f**3*(e + f*x)**(3/2)*(c*f - d*e)) + 2*(a*d - b*c)**3*atan(sqrt(e + f*x)/sqrt((c*f - d*e)/d))/(d**2*sqrt((c*f - d*e)/d)*(c*f - d*e)**2)","A",0
1788,-1,0,0,0.000000," ","integrate((b*x+a)**3/(d*x+c)/(f*x+e)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1789,-1,0,0,0.000000," ","integrate((b*x+a)**3/(d*x+c)/(f*x+e)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1790,1,94,0,3.545103," ","integrate((2+3*x)**6*(3+5*x)*(1-2*x)**(1/2),x)","\frac{3645 \left(1 - 2 x\right)^{\frac{17}{2}}}{2176} - \frac{19683 \left(1 - 2 x\right)^{\frac{15}{2}}}{640} + \frac{409941 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{1580985 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} + \frac{406455 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} - \frac{725445 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} + \frac{3916031 \left(1 - 2 x\right)^{\frac{5}{2}}}{640} - \frac{1294139 \left(1 - 2 x\right)^{\frac{3}{2}}}{384}"," ",0,"3645*(1 - 2*x)**(17/2)/2176 - 19683*(1 - 2*x)**(15/2)/640 + 409941*(1 - 2*x)**(13/2)/1664 - 1580985*(1 - 2*x)**(11/2)/1408 + 406455*(1 - 2*x)**(9/2)/128 - 725445*(1 - 2*x)**(7/2)/128 + 3916031*(1 - 2*x)**(5/2)/640 - 1294139*(1 - 2*x)**(3/2)/384","A",0
1791,1,82,0,3.220131," ","integrate((2+3*x)**5*(3+5*x)*(1-2*x)**(1/2),x)","- \frac{81 \left(1 - 2 x\right)^{\frac{15}{2}}}{64} + \frac{81 \left(1 - 2 x\right)^{\frac{13}{2}}}{4} - \frac{97335 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{4165 \left(1 - 2 x\right)^{\frac{9}{2}}}{8} - \frac{74235 \left(1 - 2 x\right)^{\frac{7}{2}}}{64} + \frac{12005 \left(1 - 2 x\right)^{\frac{5}{2}}}{8} - \frac{184877 \left(1 - 2 x\right)^{\frac{3}{2}}}{192}"," ",0,"-81*(1 - 2*x)**(15/2)/64 + 81*(1 - 2*x)**(13/2)/4 - 97335*(1 - 2*x)**(11/2)/704 + 4165*(1 - 2*x)**(9/2)/8 - 74235*(1 - 2*x)**(7/2)/64 + 12005*(1 - 2*x)**(5/2)/8 - 184877*(1 - 2*x)**(3/2)/192","A",0
1792,1,70,0,2.954745," ","integrate((2+3*x)**4*(3+5*x)*(1-2*x)**(1/2),x)","\frac{405 \left(1 - 2 x\right)^{\frac{13}{2}}}{416} - \frac{4671 \left(1 - 2 x\right)^{\frac{11}{2}}}{352} + \frac{1197 \left(1 - 2 x\right)^{\frac{9}{2}}}{16} - \frac{3549 \left(1 - 2 x\right)^{\frac{7}{2}}}{16} + \frac{57281 \left(1 - 2 x\right)^{\frac{5}{2}}}{160} - \frac{26411 \left(1 - 2 x\right)^{\frac{3}{2}}}{96}"," ",0,"405*(1 - 2*x)**(13/2)/416 - 4671*(1 - 2*x)**(11/2)/352 + 1197*(1 - 2*x)**(9/2)/16 - 3549*(1 - 2*x)**(7/2)/16 + 57281*(1 - 2*x)**(5/2)/160 - 26411*(1 - 2*x)**(3/2)/96","A",0
1793,1,58,0,2.732876," ","integrate((2+3*x)**3*(3+5*x)*(1-2*x)**(1/2),x)","- \frac{135 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} + \frac{69 \left(1 - 2 x\right)^{\frac{9}{2}}}{8} - \frac{153 \left(1 - 2 x\right)^{\frac{7}{2}}}{4} + \frac{3283 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} - \frac{3773 \left(1 - 2 x\right)^{\frac{3}{2}}}{48}"," ",0,"-135*(1 - 2*x)**(11/2)/176 + 69*(1 - 2*x)**(9/2)/8 - 153*(1 - 2*x)**(7/2)/4 + 3283*(1 - 2*x)**(5/2)/40 - 3773*(1 - 2*x)**(3/2)/48","A",0
1794,1,46,0,2.442049," ","integrate((2+3*x)**2*(3+5*x)*(1-2*x)**(1/2),x)","\frac{5 \left(1 - 2 x\right)^{\frac{9}{2}}}{8} - \frac{309 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} + \frac{707 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} - \frac{539 \left(1 - 2 x\right)^{\frac{3}{2}}}{24}"," ",0,"5*(1 - 2*x)**(9/2)/8 - 309*(1 - 2*x)**(7/2)/56 + 707*(1 - 2*x)**(5/2)/40 - 539*(1 - 2*x)**(3/2)/24","A",0
1795,1,34,0,2.204167," ","integrate((2+3*x)*(3+5*x)*(1-2*x)**(1/2),x)","- \frac{15 \left(1 - 2 x\right)^{\frac{7}{2}}}{28} + \frac{17 \left(1 - 2 x\right)^{\frac{5}{2}}}{5} - \frac{77 \left(1 - 2 x\right)^{\frac{3}{2}}}{12}"," ",0,"-15*(1 - 2*x)**(7/2)/28 + 17*(1 - 2*x)**(5/2)/5 - 77*(1 - 2*x)**(3/2)/12","A",0
1796,1,138,0,1.021375," ","integrate((3+5*x)*(1-2*x)**(1/2),x)","\begin{cases} \frac{2 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{5} - \frac{11 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{75} - \frac{121 \sqrt{5} i \sqrt{10 x - 5}}{375} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{2 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{5} - \frac{11 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{75} - \frac{121 \sqrt{5} \sqrt{5 - 10 x}}{375} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5)/5 - 11*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/75 - 121*sqrt(5)*I*sqrt(10*x - 5)/375, 10*Abs(x + 3/5)/11 > 1), (2*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2/5 - 11*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/75 - 121*sqrt(5)*sqrt(5 - 10*x)/375, True))","B",0
1797,1,92,0,5.625081," ","integrate((3+5*x)*(1-2*x)**(1/2)/(2+3*x),x)","- \frac{5 \left(1 - 2 x\right)^{\frac{3}{2}}}{9} - \frac{2 \sqrt{1 - 2 x}}{9} - \frac{14 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{9}"," ",0,"-5*(1 - 2*x)**(3/2)/9 - 2*sqrt(1 - 2*x)/9 - 14*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/9","A",0
1798,1,178,0,112.414318," ","integrate((3+5*x)*(1-2*x)**(1/2)/(2+3*x)**2,x)","\frac{10 \sqrt{1 - 2 x}}{9} + \frac{28 \left(\begin{cases} \frac{\sqrt{21} \left(- \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)}\right)}{147} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{2}{3} \end{cases}\right)}{9} + \frac{74 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{9}"," ",0,"10*sqrt(1 - 2*x)/9 + 28*Piecewise((sqrt(21)*(-log(sqrt(21)*sqrt(1 - 2*x)/7 - 1)/4 + log(sqrt(21)*sqrt(1 - 2*x)/7 + 1)/4 - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)) - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)))/147, (x <= 1/2) & (x > -2/3)))/9 + 74*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/9","A",0
1799,-1,0,0,0.000000," ","integrate((3+5*x)*(1-2*x)**(1/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1800,-1,0,0,0.000000," ","integrate((3+5*x)*(1-2*x)**(1/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1801,-1,0,0,0.000000," ","integrate((3+5*x)*(1-2*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1802,-1,0,0,0.000000," ","integrate((3+5*x)*(1-2*x)**(1/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1803,1,82,0,3.058770," ","integrate((2+3*x)**4*(3+5*x)**2*(1-2*x)**(1/2),x)","- \frac{135 \left(1 - 2 x\right)^{\frac{15}{2}}}{64} + \frac{13905 \left(1 - 2 x\right)^{\frac{13}{2}}}{416} - \frac{159111 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{40453 \left(1 - 2 x\right)^{\frac{9}{2}}}{48} - \frac{118993 \left(1 - 2 x\right)^{\frac{7}{2}}}{64} + \frac{381073 \left(1 - 2 x\right)^{\frac{5}{2}}}{160} - \frac{290521 \left(1 - 2 x\right)^{\frac{3}{2}}}{192}"," ",0,"-135*(1 - 2*x)**(15/2)/64 + 13905*(1 - 2*x)**(13/2)/416 - 159111*(1 - 2*x)**(11/2)/704 + 40453*(1 - 2*x)**(9/2)/48 - 118993*(1 - 2*x)**(7/2)/64 + 381073*(1 - 2*x)**(5/2)/160 - 290521*(1 - 2*x)**(3/2)/192","A",0
1804,1,70,0,2.812133," ","integrate((2+3*x)**3*(3+5*x)**2*(1-2*x)**(1/2),x)","\frac{675 \left(1 - 2 x\right)^{\frac{13}{2}}}{416} - \frac{7695 \left(1 - 2 x\right)^{\frac{11}{2}}}{352} + \frac{1949 \left(1 - 2 x\right)^{\frac{9}{2}}}{16} - \frac{5711 \left(1 - 2 x\right)^{\frac{7}{2}}}{16} + \frac{91091 \left(1 - 2 x\right)^{\frac{5}{2}}}{160} - \frac{41503 \left(1 - 2 x\right)^{\frac{3}{2}}}{96}"," ",0,"675*(1 - 2*x)**(13/2)/416 - 7695*(1 - 2*x)**(11/2)/352 + 1949*(1 - 2*x)**(9/2)/16 - 5711*(1 - 2*x)**(7/2)/16 + 91091*(1 - 2*x)**(5/2)/160 - 41503*(1 - 2*x)**(3/2)/96","A",0
1805,1,58,0,2.591860," ","integrate((2+3*x)**2*(3+5*x)**2*(1-2*x)**(1/2),x)","- \frac{225 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} + \frac{85 \left(1 - 2 x\right)^{\frac{9}{2}}}{6} - \frac{3467 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} + \frac{1309 \left(1 - 2 x\right)^{\frac{5}{2}}}{10} - \frac{5929 \left(1 - 2 x\right)^{\frac{3}{2}}}{48}"," ",0,"-225*(1 - 2*x)**(11/2)/176 + 85*(1 - 2*x)**(9/2)/6 - 3467*(1 - 2*x)**(7/2)/56 + 1309*(1 - 2*x)**(5/2)/10 - 5929*(1 - 2*x)**(3/2)/48","A",0
1806,1,46,0,2.342545," ","integrate((2+3*x)*(3+5*x)**2*(1-2*x)**(1/2),x)","\frac{25 \left(1 - 2 x\right)^{\frac{9}{2}}}{24} - \frac{505 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} + \frac{1133 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} - \frac{847 \left(1 - 2 x\right)^{\frac{3}{2}}}{24}"," ",0,"25*(1 - 2*x)**(9/2)/24 - 505*(1 - 2*x)**(7/2)/56 + 1133*(1 - 2*x)**(5/2)/40 - 847*(1 - 2*x)**(3/2)/24","A",0
1807,1,187,0,1.426004," ","integrate((3+5*x)**2*(1-2*x)**(1/2),x)","\begin{cases} \frac{10 \sqrt{5} i \left(x + \frac{3}{5}\right)^{3} \sqrt{10 x - 5}}{7} - \frac{11 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{35} - \frac{242 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{525} - \frac{2662 \sqrt{5} i \sqrt{10 x - 5}}{2625} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{10 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{3}}{7} - \frac{11 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{35} - \frac{242 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{525} - \frac{2662 \sqrt{5} \sqrt{5 - 10 x}}{2625} & \text{otherwise} \end{cases}"," ",0,"Piecewise((10*sqrt(5)*I*(x + 3/5)**3*sqrt(10*x - 5)/7 - 11*sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5)/35 - 242*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/525 - 2662*sqrt(5)*I*sqrt(10*x - 5)/2625, 10*Abs(x + 3/5)/11 > 1), (10*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**3/7 - 11*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2/35 - 242*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/525 - 2662*sqrt(5)*sqrt(5 - 10*x)/2625, True))","B",0
1808,1,102,0,6.343929," ","integrate((3+5*x)**2*(1-2*x)**(1/2)/(2+3*x),x)","\frac{5 \left(1 - 2 x\right)^{\frac{5}{2}}}{6} - \frac{155 \left(1 - 2 x\right)^{\frac{3}{2}}}{54} + \frac{2 \sqrt{1 - 2 x}}{27} + \frac{14 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{27}"," ",0,"5*(1 - 2*x)**(5/2)/6 - 155*(1 - 2*x)**(3/2)/54 + 2*sqrt(1 - 2*x)/27 + 14*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/27","A",0
1809,1,192,0,121.342293," ","integrate((3+5*x)**2*(1-2*x)**(1/2)/(2+3*x)**2,x)","- \frac{25 \left(1 - 2 x\right)^{\frac{3}{2}}}{27} - \frac{20 \sqrt{1 - 2 x}}{27} - \frac{28 \left(\begin{cases} \frac{\sqrt{21} \left(- \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)}\right)}{147} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{2}{3} \end{cases}\right)}{27} - \frac{16 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{3}"," ",0,"-25*(1 - 2*x)**(3/2)/27 - 20*sqrt(1 - 2*x)/27 - 28*Piecewise((sqrt(21)*(-log(sqrt(21)*sqrt(1 - 2*x)/7 - 1)/4 + log(sqrt(21)*sqrt(1 - 2*x)/7 + 1)/4 - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)) - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)))/147, (x <= 1/2) & (x > -2/3)))/27 - 16*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/3","A",0
1810,-1,0,0,0.000000," ","integrate((3+5*x)**2*(1-2*x)**(1/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1811,-1,0,0,0.000000," ","integrate((3+5*x)**2*(1-2*x)**(1/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1812,-1,0,0,0.000000," ","integrate((3+5*x)**2*(1-2*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1813,-1,0,0,0.000000," ","integrate((3+5*x)**2*(1-2*x)**(1/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1814,-1,0,0,0.000000," ","integrate((3+5*x)**2*(1-2*x)**(1/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1815,1,94,0,3.398786," ","integrate((2+3*x)**4*(3+5*x)**3*(1-2*x)**(1/2),x)","\frac{10125 \left(1 - 2 x\right)^{\frac{17}{2}}}{2176} - \frac{10755 \left(1 - 2 x\right)^{\frac{15}{2}}}{128} + \frac{1101465 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{4177401 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} + \frac{9504551 \left(1 - 2 x\right)^{\frac{9}{2}}}{1152} - \frac{1853313 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} + \frac{9836211 \left(1 - 2 x\right)^{\frac{5}{2}}}{640} - \frac{3195731 \left(1 - 2 x\right)^{\frac{3}{2}}}{384}"," ",0,"10125*(1 - 2*x)**(17/2)/2176 - 10755*(1 - 2*x)**(15/2)/128 + 1101465*(1 - 2*x)**(13/2)/1664 - 4177401*(1 - 2*x)**(11/2)/1408 + 9504551*(1 - 2*x)**(9/2)/1152 - 1853313*(1 - 2*x)**(7/2)/128 + 9836211*(1 - 2*x)**(5/2)/640 - 3195731*(1 - 2*x)**(3/2)/384","A",0
1816,1,82,0,3.058510," ","integrate((2+3*x)**3*(3+5*x)**3*(1-2*x)**(1/2),x)","- \frac{225 \left(1 - 2 x\right)^{\frac{15}{2}}}{64} + \frac{11475 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} - \frac{260055 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{98209 \left(1 - 2 x\right)^{\frac{9}{2}}}{72} - \frac{190707 \left(1 - 2 x\right)^{\frac{7}{2}}}{64} + \frac{302379 \left(1 - 2 x\right)^{\frac{5}{2}}}{80} - \frac{456533 \left(1 - 2 x\right)^{\frac{3}{2}}}{192}"," ",0,"-225*(1 - 2*x)**(15/2)/64 + 11475*(1 - 2*x)**(13/2)/208 - 260055*(1 - 2*x)**(11/2)/704 + 98209*(1 - 2*x)**(9/2)/72 - 190707*(1 - 2*x)**(7/2)/64 + 302379*(1 - 2*x)**(5/2)/80 - 456533*(1 - 2*x)**(3/2)/192","A",0
1817,1,70,0,2.829610," ","integrate((2+3*x)**2*(3+5*x)**3*(1-2*x)**(1/2),x)","\frac{1125 \left(1 - 2 x\right)^{\frac{13}{2}}}{416} - \frac{12675 \left(1 - 2 x\right)^{\frac{11}{2}}}{352} + \frac{28555 \left(1 - 2 x\right)^{\frac{9}{2}}}{144} - \frac{64317 \left(1 - 2 x\right)^{\frac{7}{2}}}{112} + \frac{144837 \left(1 - 2 x\right)^{\frac{5}{2}}}{160} - \frac{65219 \left(1 - 2 x\right)^{\frac{3}{2}}}{96}"," ",0,"1125*(1 - 2*x)**(13/2)/416 - 12675*(1 - 2*x)**(11/2)/352 + 28555*(1 - 2*x)**(9/2)/144 - 64317*(1 - 2*x)**(7/2)/112 + 144837*(1 - 2*x)**(5/2)/160 - 65219*(1 - 2*x)**(3/2)/96","A",0
1818,1,58,0,2.586984," ","integrate((2+3*x)*(3+5*x)**3*(1-2*x)**(1/2),x)","- \frac{375 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} + \frac{1675 \left(1 - 2 x\right)^{\frac{9}{2}}}{72} - \frac{2805 \left(1 - 2 x\right)^{\frac{7}{2}}}{28} + \frac{8349 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} - \frac{9317 \left(1 - 2 x\right)^{\frac{3}{2}}}{48}"," ",0,"-375*(1 - 2*x)**(11/2)/176 + 1675*(1 - 2*x)**(9/2)/72 - 2805*(1 - 2*x)**(7/2)/28 + 8349*(1 - 2*x)**(5/2)/40 - 9317*(1 - 2*x)**(3/2)/48","A",0
1819,1,236,0,2.044348," ","integrate((3+5*x)**3*(1-2*x)**(1/2),x)","\begin{cases} \frac{50 \sqrt{5} i \left(x + \frac{3}{5}\right)^{4} \sqrt{10 x - 5}}{9} - \frac{55 \sqrt{5} i \left(x + \frac{3}{5}\right)^{3} \sqrt{10 x - 5}}{63} - \frac{121 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{105} - \frac{2662 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{1575} - \frac{29282 \sqrt{5} i \sqrt{10 x - 5}}{7875} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{50 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{4}}{9} - \frac{55 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{3}}{63} - \frac{121 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{105} - \frac{2662 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{1575} - \frac{29282 \sqrt{5} \sqrt{5 - 10 x}}{7875} & \text{otherwise} \end{cases}"," ",0,"Piecewise((50*sqrt(5)*I*(x + 3/5)**4*sqrt(10*x - 5)/9 - 55*sqrt(5)*I*(x + 3/5)**3*sqrt(10*x - 5)/63 - 121*sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5)/105 - 2662*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/1575 - 29282*sqrt(5)*I*sqrt(10*x - 5)/7875, 10*Abs(x + 3/5)/11 > 1), (50*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**4/9 - 55*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**3/63 - 121*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2/105 - 2662*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/1575 - 29282*sqrt(5)*sqrt(5 - 10*x)/7875, True))","B",0
1820,1,114,0,8.047635," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x),x)","- \frac{125 \left(1 - 2 x\right)^{\frac{7}{2}}}{84} + \frac{80 \left(1 - 2 x\right)^{\frac{5}{2}}}{9} - \frac{5135 \left(1 - 2 x\right)^{\frac{3}{2}}}{324} - \frac{2 \sqrt{1 - 2 x}}{81} - \frac{14 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{81}"," ",0,"-125*(1 - 2*x)**(7/2)/84 + 80*(1 - 2*x)**(5/2)/9 - 5135*(1 - 2*x)**(3/2)/324 - 2*sqrt(1 - 2*x)/81 - 14*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/81","A",0
1821,1,202,0,132.185379," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x)**2,x)","\frac{25 \left(1 - 2 x\right)^{\frac{5}{2}}}{18} - \frac{725 \left(1 - 2 x\right)^{\frac{3}{2}}}{162} + \frac{10 \sqrt{1 - 2 x}}{27} + \frac{28 \left(\begin{cases} \frac{\sqrt{21} \left(- \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)}\right)}{147} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{2}{3} \end{cases}\right)}{81} + \frac{214 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{81}"," ",0,"25*(1 - 2*x)**(5/2)/18 - 725*(1 - 2*x)**(3/2)/162 + 10*sqrt(1 - 2*x)/27 + 28*Piecewise((sqrt(21)*(-log(sqrt(21)*sqrt(1 - 2*x)/7 - 1)/4 + log(sqrt(21)*sqrt(1 - 2*x)/7 + 1)/4 - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)) - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)))/147, (x <= 1/2) & (x > -2/3)))/81 + 214*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/81","A",0
1822,-1,0,0,0.000000," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1823,-1,0,0,0.000000," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1824,-1,0,0,0.000000," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1825,-1,0,0,0.000000," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1826,-1,0,0,0.000000," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1827,-1,0,0,0.000000," ","integrate((3+5*x)**3*(1-2*x)**(1/2)/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1828,1,126,0,9.673594," ","integrate((2+3*x)**4*(1-2*x)**(1/2)/(3+5*x),x)","\frac{9 \left(1 - 2 x\right)^{\frac{9}{2}}}{40} - \frac{2889 \left(1 - 2 x\right)^{\frac{7}{2}}}{1400} + \frac{34371 \left(1 - 2 x\right)^{\frac{5}{2}}}{5000} - \frac{45473 \left(1 - 2 x\right)^{\frac{3}{2}}}{5000} + \frac{2 \sqrt{1 - 2 x}}{3125} + \frac{22 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{3125}"," ",0,"9*(1 - 2*x)**(9/2)/40 - 2889*(1 - 2*x)**(7/2)/1400 + 34371*(1 - 2*x)**(5/2)/5000 - 45473*(1 - 2*x)**(3/2)/5000 + 2*sqrt(1 - 2*x)/3125 + 22*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/3125","A",0
1829,1,114,0,7.788789," ","integrate((2+3*x)**3*(1-2*x)**(1/2)/(3+5*x),x)","- \frac{27 \left(1 - 2 x\right)^{\frac{7}{2}}}{140} + \frac{162 \left(1 - 2 x\right)^{\frac{5}{2}}}{125} - \frac{1299 \left(1 - 2 x\right)^{\frac{3}{2}}}{500} + \frac{2 \sqrt{1 - 2 x}}{625} + \frac{22 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{625}"," ",0,"-27*(1 - 2*x)**(7/2)/140 + 162*(1 - 2*x)**(5/2)/125 - 1299*(1 - 2*x)**(3/2)/500 + 2*sqrt(1 - 2*x)/625 + 22*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/625","A",0
1830,1,102,0,6.212557," ","integrate((2+3*x)**2*(1-2*x)**(1/2)/(3+5*x),x)","\frac{9 \left(1 - 2 x\right)^{\frac{5}{2}}}{50} - \frac{37 \left(1 - 2 x\right)^{\frac{3}{2}}}{50} + \frac{2 \sqrt{1 - 2 x}}{125} + \frac{22 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{125}"," ",0,"9*(1 - 2*x)**(5/2)/50 - 37*(1 - 2*x)**(3/2)/50 + 2*sqrt(1 - 2*x)/125 + 22*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/125","A",0
1831,1,88,0,5.356191," ","integrate((2+3*x)*(1-2*x)**(1/2)/(3+5*x),x)","- \frac{\left(1 - 2 x\right)^{\frac{3}{2}}}{5} + \frac{2 \sqrt{1 - 2 x}}{25} + \frac{22 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{25}"," ",0,"-(1 - 2*x)**(3/2)/5 + 2*sqrt(1 - 2*x)/25 + 22*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/25","A",0
1832,1,107,0,1.272748," ","integrate((1-2*x)**(1/2)/(3+5*x),x)","\begin{cases} \frac{2 \sqrt{5} i \sqrt{10 x - 5}}{25} + \frac{2 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{25} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{2 \sqrt{5} \sqrt{5 - 10 x}}{25} + \frac{\sqrt{55} \log{\left(x + \frac{3}{5} \right)}}{25} - \frac{2 \sqrt{55} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{25} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(5)*I*sqrt(10*x - 5)/25 + 2*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/25, 10*Abs(x + 3/5)/11 > 1), (2*sqrt(5)*sqrt(5 - 10*x)/25 + sqrt(55)*log(x + 3/5)/25 - 2*sqrt(55)*log(sqrt(5/11 - 10*x/11) + 1)/25, True))","A",0
1833,1,131,0,7.151935," ","integrate((1-2*x)**(1/2)/(2+3*x)/(3+5*x),x)","- 14 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right) + 22 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)"," ",0,"-14*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3)) + 22*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))","A",0
1834,1,230,0,55.360966," ","integrate((1-2*x)**(1/2)/(2+3*x)**2/(3+5*x),x)","28 \left(\begin{cases} \frac{\sqrt{21} \left(- \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)}\right)}{147} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{2}{3} \end{cases}\right) - 66 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right) + 110 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)"," ",0,"28*Piecewise((sqrt(21)*(-log(sqrt(21)*sqrt(1 - 2*x)/7 - 1)/4 + log(sqrt(21)*sqrt(1 - 2*x)/7 + 1)/4 - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)) - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)))/147, (x <= 1/2) & (x > -2/3))) - 66*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3)) + 110*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))","A",0
1835,1,376,0,142.011692," ","integrate((1-2*x)**(1/2)/(2+3*x)**3/(3+5*x),x)","132 \left(\begin{cases} \frac{\sqrt{21} \left(- \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)}\right)}{147} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{2}{3} \end{cases}\right) - 56 \left(\begin{cases} \frac{\sqrt{21} \left(\frac{3 \log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1 \right)}}{16} - \frac{3 \log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1 \right)}}{16} + \frac{3}{16 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)} + \frac{1}{16 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)^{2}} + \frac{3}{16 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)} - \frac{1}{16 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)^{2}}\right)}{1029} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{2}{3} \end{cases}\right) - 330 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right) + 550 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)"," ",0,"132*Piecewise((sqrt(21)*(-log(sqrt(21)*sqrt(1 - 2*x)/7 - 1)/4 + log(sqrt(21)*sqrt(1 - 2*x)/7 + 1)/4 - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)) - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)))/147, (x <= 1/2) & (x > -2/3))) - 56*Piecewise((sqrt(21)*(3*log(sqrt(21)*sqrt(1 - 2*x)/7 - 1)/16 - 3*log(sqrt(21)*sqrt(1 - 2*x)/7 + 1)/16 + 3/(16*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)) + 1/(16*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)**2) + 3/(16*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)) - 1/(16*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)**2))/1029, (x <= 1/2) & (x > -2/3))) - 330*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3)) + 550*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))","A",0
1836,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**4/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1837,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**5/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1838,-1,0,0,0.000000," ","integrate((2+3*x)**5*(1-2*x)**(1/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1839,1,214,0,162.622468," ","integrate((2+3*x)**4*(1-2*x)**(1/2)/(3+5*x)**2,x)","- \frac{81 \left(1 - 2 x\right)^{\frac{7}{2}}}{700} + \frac{999 \left(1 - 2 x\right)^{\frac{5}{2}}}{1250} - \frac{4131 \left(1 - 2 x\right)^{\frac{3}{2}}}{2500} + \frac{24 \sqrt{1 - 2 x}}{3125} - \frac{44 \left(\begin{cases} \frac{\sqrt{55} \left(- \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)}\right)}{605} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{3125} + \frac{52 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{625}"," ",0,"-81*(1 - 2*x)**(7/2)/700 + 999*(1 - 2*x)**(5/2)/1250 - 4131*(1 - 2*x)**(3/2)/2500 + 24*sqrt(1 - 2*x)/3125 - 44*Piecewise((sqrt(55)*(-log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/4 + log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/4 - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)))/605, (x <= 1/2) & (x > -3/5)))/3125 + 52*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/625","A",0
1840,1,202,0,133.293317," ","integrate((2+3*x)**3*(1-2*x)**(1/2)/(3+5*x)**2,x)","\frac{27 \left(1 - 2 x\right)^{\frac{5}{2}}}{250} - \frac{117 \left(1 - 2 x\right)^{\frac{3}{2}}}{250} + \frac{18 \sqrt{1 - 2 x}}{625} - \frac{44 \left(\begin{cases} \frac{\sqrt{55} \left(- \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)}\right)}{605} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{625} + \frac{194 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{625}"," ",0,"27*(1 - 2*x)**(5/2)/250 - 117*(1 - 2*x)**(3/2)/250 + 18*sqrt(1 - 2*x)/625 - 44*Piecewise((sqrt(55)*(-log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/4 + log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/4 - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)))/605, (x <= 1/2) & (x > -3/5)))/625 + 194*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/625","A",0
1841,1,190,0,119.600140," ","integrate((2+3*x)**2*(1-2*x)**(1/2)/(3+5*x)**2,x)","- \frac{3 \left(1 - 2 x\right)^{\frac{3}{2}}}{25} + \frac{12 \sqrt{1 - 2 x}}{125} - \frac{44 \left(\begin{cases} \frac{\sqrt{55} \left(- \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)}\right)}{605} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{125} + \frac{128 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{125}"," ",0,"-3*(1 - 2*x)**(3/2)/25 + 12*sqrt(1 - 2*x)/125 - 44*Piecewise((sqrt(55)*(-log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/4 + log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/4 - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)))/605, (x <= 1/2) & (x > -3/5)))/125 + 128*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/125","A",0
1842,1,178,0,108.096442," ","integrate((2+3*x)*(1-2*x)**(1/2)/(3+5*x)**2,x)","\frac{6 \sqrt{1 - 2 x}}{25} - \frac{44 \left(\begin{cases} \frac{\sqrt{55} \left(- \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)}\right)}{605} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{25} + \frac{62 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{25}"," ",0,"6*sqrt(1 - 2*x)/25 - 44*Piecewise((sqrt(55)*(-log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/4 + log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/4 - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)))/605, (x <= 1/2) & (x > -3/5)))/25 + 62*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/25","B",0
1843,1,175,0,1.612305," ","integrate((1-2*x)**(1/2)/(3+5*x)**2,x)","\begin{cases} \frac{2 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{275} + \frac{\sqrt{2}}{25 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{11 \sqrt{2}}{250 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{2 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{275} - \frac{\sqrt{2} i}{25 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{11 \sqrt{2} i}{250 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/275 + sqrt(2)/(25*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - 11*sqrt(2)/(250*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), 11/(10*Abs(x + 3/5)) > 1), (-2*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/275 - sqrt(2)*I/(25*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + 11*sqrt(2)*I/(250*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), True))","B",0
1844,1,230,0,55.054294," ","integrate((1-2*x)**(1/2)/(2+3*x)/(3+5*x)**2,x)","- 44 \left(\begin{cases} \frac{\sqrt{55} \left(- \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)}\right)}{605} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right) + 42 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right) - 70 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)"," ",0,"-44*Piecewise((sqrt(55)*(-log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/4 + log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/4 - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)))/605, (x <= 1/2) & (x > -3/5))) + 42*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3)) - 70*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))","A",0
1845,1,328,0,106.817296," ","integrate((1-2*x)**(1/2)/(2+3*x)**2/(3+5*x)**2,x)","- 84 \left(\begin{cases} \frac{\sqrt{21} \left(- \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} - 1\right)}\right)}{147} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{2}{3} \end{cases}\right) - 220 \left(\begin{cases} \frac{\sqrt{55} \left(- \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)}\right)}{605} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right) + 408 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right) - 680 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)"," ",0,"-84*Piecewise((sqrt(21)*(-log(sqrt(21)*sqrt(1 - 2*x)/7 - 1)/4 + log(sqrt(21)*sqrt(1 - 2*x)/7 + 1)/4 - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 + 1)) - 1/(4*(sqrt(21)*sqrt(1 - 2*x)/7 - 1)))/147, (x <= 1/2) & (x > -2/3))) - 220*Piecewise((sqrt(55)*(-log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/4 + log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/4 - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)))/605, (x <= 1/2) & (x > -3/5))) + 408*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3)) - 680*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))","A",0
1846,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**3/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1847,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**4/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1848,-1,0,0,0.000000," ","integrate((2+3*x)**4*(1-2*x)**(1/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1849,-1,0,0,0.000000," ","integrate((2+3*x)**3*(1-2*x)**(1/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1850,-1,0,0,0.000000," ","integrate((2+3*x)**2*(1-2*x)**(1/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1851,-1,0,0,0.000000," ","integrate((2+3*x)*(1-2*x)**(1/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1852,1,231,0,2.725515," ","integrate((1-2*x)**(1/2)/(3+5*x)**3,x)","\begin{cases} \frac{\sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{3025} - \frac{\sqrt{2}}{550 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{3 \sqrt{2}}{500 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} - \frac{11 \sqrt{2}}{2500 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{\sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{3025} + \frac{\sqrt{2} i}{550 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{3 \sqrt{2} i}{500 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} + \frac{11 \sqrt{2} i}{2500 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/3025 - sqrt(2)/(550*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + 3*sqrt(2)/(500*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) - 11*sqrt(2)/(2500*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), 11/(10*Abs(x + 3/5)) > 1), (-sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/3025 + sqrt(2)*I/(550*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - 3*sqrt(2)*I/(500*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) + 11*sqrt(2)*I/(2500*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), True))","B",0
1853,1,376,0,140.537891," ","integrate((1-2*x)**(1/2)/(2+3*x)/(3+5*x)**3,x)","140 \left(\begin{cases} \frac{\sqrt{55} \left(- \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{4} + \frac{\log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{4} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} - \frac{1}{4 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)}\right)}{605} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right) + 88 \left(\begin{cases} \frac{\sqrt{55} \left(\frac{3 \log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1 \right)}}{16} - \frac{3 \log{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1 \right)}}{16} + \frac{3}{16 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)} + \frac{1}{16 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} + 1\right)^{2}} + \frac{3}{16 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)} - \frac{1}{16 \left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} - 1\right)^{2}}\right)}{6655} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right) - 126 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right) + 210 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)"," ",0,"140*Piecewise((sqrt(55)*(-log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/4 + log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/4 - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) - 1/(4*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)))/605, (x <= 1/2) & (x > -3/5))) + 88*Piecewise((sqrt(55)*(3*log(sqrt(55)*sqrt(1 - 2*x)/11 - 1)/16 - 3*log(sqrt(55)*sqrt(1 - 2*x)/11 + 1)/16 + 3/(16*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)) + 1/(16*(sqrt(55)*sqrt(1 - 2*x)/11 + 1)**2) + 3/(16*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)) - 1/(16*(sqrt(55)*sqrt(1 - 2*x)/11 - 1)**2))/6655, (x <= 1/2) & (x > -3/5))) - 126*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3)) + 210*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))","A",0
1854,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**2/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1855,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**3/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1856,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**4/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1857,1,94,0,25.826628," ","integrate((1-2*x)**(3/2)*(2+3*x)**6*(3+5*x),x)","\frac{3645 \left(1 - 2 x\right)^{\frac{19}{2}}}{2432} - \frac{59049 \left(1 - 2 x\right)^{\frac{17}{2}}}{2176} + \frac{136647 \left(1 - 2 x\right)^{\frac{15}{2}}}{640} - \frac{1580985 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} + \frac{3658095 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} - \frac{564235 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} + \frac{559433 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} - \frac{1294139 \left(1 - 2 x\right)^{\frac{5}{2}}}{640}"," ",0,"3645*(1 - 2*x)**(19/2)/2432 - 59049*(1 - 2*x)**(17/2)/2176 + 136647*(1 - 2*x)**(15/2)/640 - 1580985*(1 - 2*x)**(13/2)/1664 + 3658095*(1 - 2*x)**(11/2)/1408 - 564235*(1 - 2*x)**(9/2)/128 + 559433*(1 - 2*x)**(7/2)/128 - 1294139*(1 - 2*x)**(5/2)/640","A",0
1858,1,82,0,21.191705," ","integrate((1-2*x)**(3/2)*(2+3*x)**5*(3+5*x),x)","- \frac{1215 \left(1 - 2 x\right)^{\frac{17}{2}}}{1088} + \frac{351 \left(1 - 2 x\right)^{\frac{15}{2}}}{20} - \frac{97335 \left(1 - 2 x\right)^{\frac{13}{2}}}{832} + \frac{37485 \left(1 - 2 x\right)^{\frac{11}{2}}}{88} - \frac{173215 \left(1 - 2 x\right)^{\frac{9}{2}}}{192} + \frac{8575 \left(1 - 2 x\right)^{\frac{7}{2}}}{8} - \frac{184877 \left(1 - 2 x\right)^{\frac{5}{2}}}{320}"," ",0,"-1215*(1 - 2*x)**(17/2)/1088 + 351*(1 - 2*x)**(15/2)/20 - 97335*(1 - 2*x)**(13/2)/832 + 37485*(1 - 2*x)**(11/2)/88 - 173215*(1 - 2*x)**(9/2)/192 + 8575*(1 - 2*x)**(7/2)/8 - 184877*(1 - 2*x)**(5/2)/320","A",0
1859,1,70,0,17.219565," ","integrate((1-2*x)**(3/2)*(2+3*x)**4*(3+5*x),x)","\frac{27 \left(1 - 2 x\right)^{\frac{15}{2}}}{32} - \frac{4671 \left(1 - 2 x\right)^{\frac{13}{2}}}{416} + \frac{10773 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} - \frac{8281 \left(1 - 2 x\right)^{\frac{9}{2}}}{48} + \frac{8183 \left(1 - 2 x\right)^{\frac{7}{2}}}{32} - \frac{26411 \left(1 - 2 x\right)^{\frac{5}{2}}}{160}"," ",0,"27*(1 - 2*x)**(15/2)/32 - 4671*(1 - 2*x)**(13/2)/416 + 10773*(1 - 2*x)**(11/2)/176 - 8281*(1 - 2*x)**(9/2)/48 + 8183*(1 - 2*x)**(7/2)/32 - 26411*(1 - 2*x)**(5/2)/160","A",0
1860,1,58,0,13.533186," ","integrate((1-2*x)**(3/2)*(2+3*x)**3*(3+5*x),x)","- \frac{135 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} + \frac{621 \left(1 - 2 x\right)^{\frac{11}{2}}}{88} - \frac{119 \left(1 - 2 x\right)^{\frac{9}{2}}}{4} + \frac{469 \left(1 - 2 x\right)^{\frac{7}{2}}}{8} - \frac{3773 \left(1 - 2 x\right)^{\frac{5}{2}}}{80}"," ",0,"-135*(1 - 2*x)**(13/2)/208 + 621*(1 - 2*x)**(11/2)/88 - 119*(1 - 2*x)**(9/2)/4 + 469*(1 - 2*x)**(7/2)/8 - 3773*(1 - 2*x)**(5/2)/80","A",0
1861,1,46,0,10.300596," ","integrate((1-2*x)**(3/2)*(2+3*x)**2*(3+5*x),x)","\frac{45 \left(1 - 2 x\right)^{\frac{11}{2}}}{88} - \frac{103 \left(1 - 2 x\right)^{\frac{9}{2}}}{24} + \frac{101 \left(1 - 2 x\right)^{\frac{7}{2}}}{8} - \frac{539 \left(1 - 2 x\right)^{\frac{5}{2}}}{40}"," ",0,"45*(1 - 2*x)**(11/2)/88 - 103*(1 - 2*x)**(9/2)/24 + 101*(1 - 2*x)**(7/2)/8 - 539*(1 - 2*x)**(5/2)/40","A",0
1862,1,34,0,7.331462," ","integrate((1-2*x)**(3/2)*(2+3*x)*(3+5*x),x)","- \frac{5 \left(1 - 2 x\right)^{\frac{9}{2}}}{12} + \frac{17 \left(1 - 2 x\right)^{\frac{7}{2}}}{7} - \frac{77 \left(1 - 2 x\right)^{\frac{5}{2}}}{20}"," ",0,"-5*(1 - 2*x)**(9/2)/12 + 17*(1 - 2*x)**(7/2)/7 - 77*(1 - 2*x)**(5/2)/20","A",0
1863,1,54,0,0.382629," ","integrate((1-2*x)**(3/2)*(3+5*x),x)","- \frac{20 x^{3} \sqrt{1 - 2 x}}{7} - \frac{4 x^{2} \sqrt{1 - 2 x}}{35} + \frac{79 x \sqrt{1 - 2 x}}{35} - \frac{26 \sqrt{1 - 2 x}}{35}"," ",0,"-20*x**3*sqrt(1 - 2*x)/7 - 4*x**2*sqrt(1 - 2*x)/35 + 79*x*sqrt(1 - 2*x)/35 - 26*sqrt(1 - 2*x)/35","B",0
1864,1,102,0,21.900968," ","integrate((1-2*x)**(3/2)*(3+5*x)/(2+3*x),x)","- \frac{\left(1 - 2 x\right)^{\frac{5}{2}}}{3} - \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{27} - \frac{14 \sqrt{1 - 2 x}}{27} - \frac{98 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{27}"," ",0,"-(1 - 2*x)**(5/2)/3 - 2*(1 - 2*x)**(3/2)/27 - 14*sqrt(1 - 2*x)/27 - 98*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/27","A",0
1865,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1866,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1867,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1868,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1869,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1870,1,82,0,21.118244," ","integrate((1-2*x)**(3/2)*(2+3*x)**4*(3+5*x)**2,x)","- \frac{2025 \left(1 - 2 x\right)^{\frac{17}{2}}}{1088} + \frac{927 \left(1 - 2 x\right)^{\frac{15}{2}}}{32} - \frac{159111 \left(1 - 2 x\right)^{\frac{13}{2}}}{832} + \frac{121359 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} - \frac{832951 \left(1 - 2 x\right)^{\frac{9}{2}}}{576} + \frac{54439 \left(1 - 2 x\right)^{\frac{7}{2}}}{32} - \frac{290521 \left(1 - 2 x\right)^{\frac{5}{2}}}{320}"," ",0,"-2025*(1 - 2*x)**(17/2)/1088 + 927*(1 - 2*x)**(15/2)/32 - 159111*(1 - 2*x)**(13/2)/832 + 121359*(1 - 2*x)**(11/2)/176 - 832951*(1 - 2*x)**(9/2)/576 + 54439*(1 - 2*x)**(7/2)/32 - 290521*(1 - 2*x)**(5/2)/320","A",0
1871,1,70,0,17.032664," ","integrate((1-2*x)**(3/2)*(2+3*x)**3*(3+5*x)**2,x)","\frac{45 \left(1 - 2 x\right)^{\frac{15}{2}}}{32} - \frac{7695 \left(1 - 2 x\right)^{\frac{13}{2}}}{416} + \frac{17541 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} - \frac{39977 \left(1 - 2 x\right)^{\frac{9}{2}}}{144} + \frac{13013 \left(1 - 2 x\right)^{\frac{7}{2}}}{32} - \frac{41503 \left(1 - 2 x\right)^{\frac{5}{2}}}{160}"," ",0,"45*(1 - 2*x)**(15/2)/32 - 7695*(1 - 2*x)**(13/2)/416 + 17541*(1 - 2*x)**(11/2)/176 - 39977*(1 - 2*x)**(9/2)/144 + 13013*(1 - 2*x)**(7/2)/32 - 41503*(1 - 2*x)**(5/2)/160","A",0
1872,1,58,0,13.492613," ","integrate((1-2*x)**(3/2)*(2+3*x)**2*(3+5*x)**2,x)","- \frac{225 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} + \frac{255 \left(1 - 2 x\right)^{\frac{11}{2}}}{22} - \frac{3467 \left(1 - 2 x\right)^{\frac{9}{2}}}{72} + \frac{187 \left(1 - 2 x\right)^{\frac{7}{2}}}{2} - \frac{5929 \left(1 - 2 x\right)^{\frac{5}{2}}}{80}"," ",0,"-225*(1 - 2*x)**(13/2)/208 + 255*(1 - 2*x)**(11/2)/22 - 3467*(1 - 2*x)**(9/2)/72 + 187*(1 - 2*x)**(7/2)/2 - 5929*(1 - 2*x)**(5/2)/80","A",0
1873,1,46,0,10.189444," ","integrate((1-2*x)**(3/2)*(2+3*x)*(3+5*x)**2,x)","\frac{75 \left(1 - 2 x\right)^{\frac{11}{2}}}{88} - \frac{505 \left(1 - 2 x\right)^{\frac{9}{2}}}{72} + \frac{1133 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} - \frac{847 \left(1 - 2 x\right)^{\frac{5}{2}}}{40}"," ",0,"75*(1 - 2*x)**(11/2)/88 - 505*(1 - 2*x)**(9/2)/72 + 1133*(1 - 2*x)**(7/2)/56 - 847*(1 - 2*x)**(5/2)/40","A",0
1874,1,236,0,1.562549," ","integrate((1-2*x)**(3/2)*(3+5*x)**2,x)","\begin{cases} - \frac{20 \sqrt{5} i \left(x + \frac{3}{5}\right)^{4} \sqrt{10 x - 5}}{9} + \frac{220 \sqrt{5} i \left(x + \frac{3}{5}\right)^{3} \sqrt{10 x - 5}}{63} - \frac{121 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{525} - \frac{2662 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{7875} - \frac{29282 \sqrt{5} i \sqrt{10 x - 5}}{39375} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{20 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{4}}{9} + \frac{220 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{3}}{63} - \frac{121 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{525} - \frac{2662 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{7875} - \frac{29282 \sqrt{5} \sqrt{5 - 10 x}}{39375} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-20*sqrt(5)*I*(x + 3/5)**4*sqrt(10*x - 5)/9 + 220*sqrt(5)*I*(x + 3/5)**3*sqrt(10*x - 5)/63 - 121*sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5)/525 - 2662*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/7875 - 29282*sqrt(5)*I*sqrt(10*x - 5)/39375, 10*Abs(x + 3/5)/11 > 1), (-20*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**4/9 + 220*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**3/63 - 121*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2/525 - 2662*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/7875 - 29282*sqrt(5)*sqrt(5 - 10*x)/39375, True))","B",0
1875,1,114,0,35.776222," ","integrate((1-2*x)**(3/2)*(3+5*x)**2/(2+3*x),x)","\frac{25 \left(1 - 2 x\right)^{\frac{7}{2}}}{42} - \frac{31 \left(1 - 2 x\right)^{\frac{5}{2}}}{18} + \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{81} + \frac{14 \sqrt{1 - 2 x}}{81} + \frac{98 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{81}"," ",0,"25*(1 - 2*x)**(7/2)/42 - 31*(1 - 2*x)**(5/2)/18 + 2*(1 - 2*x)**(3/2)/81 + 14*sqrt(1 - 2*x)/81 + 98*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/81","A",0
1876,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**2/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1877,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**2/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1878,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**2/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1879,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**2/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1880,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**2/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1881,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**2/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1882,1,94,0,25.623964," ","integrate((1-2*x)**(3/2)*(2+3*x)**4*(3+5*x)**3,x)","\frac{10125 \left(1 - 2 x\right)^{\frac{19}{2}}}{2432} - \frac{161325 \left(1 - 2 x\right)^{\frac{17}{2}}}{2176} + \frac{73431 \left(1 - 2 x\right)^{\frac{15}{2}}}{128} - \frac{4177401 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} + \frac{9504551 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} - \frac{4324397 \left(1 - 2 x\right)^{\frac{9}{2}}}{384} + \frac{1405173 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} - \frac{3195731 \left(1 - 2 x\right)^{\frac{5}{2}}}{640}"," ",0,"10125*(1 - 2*x)**(19/2)/2432 - 161325*(1 - 2*x)**(17/2)/2176 + 73431*(1 - 2*x)**(15/2)/128 - 4177401*(1 - 2*x)**(13/2)/1664 + 9504551*(1 - 2*x)**(11/2)/1408 - 4324397*(1 - 2*x)**(9/2)/384 + 1405173*(1 - 2*x)**(7/2)/128 - 3195731*(1 - 2*x)**(5/2)/640","A",0
1883,1,82,0,21.175628," ","integrate((1-2*x)**(3/2)*(2+3*x)**3*(3+5*x)**3,x)","- \frac{3375 \left(1 - 2 x\right)^{\frac{17}{2}}}{1088} + \frac{765 \left(1 - 2 x\right)^{\frac{15}{2}}}{16} - \frac{260055 \left(1 - 2 x\right)^{\frac{13}{2}}}{832} + \frac{98209 \left(1 - 2 x\right)^{\frac{11}{2}}}{88} - \frac{444983 \left(1 - 2 x\right)^{\frac{9}{2}}}{192} + \frac{43197 \left(1 - 2 x\right)^{\frac{7}{2}}}{16} - \frac{456533 \left(1 - 2 x\right)^{\frac{5}{2}}}{320}"," ",0,"-3375*(1 - 2*x)**(17/2)/1088 + 765*(1 - 2*x)**(15/2)/16 - 260055*(1 - 2*x)**(13/2)/832 + 98209*(1 - 2*x)**(11/2)/88 - 444983*(1 - 2*x)**(9/2)/192 + 43197*(1 - 2*x)**(7/2)/16 - 456533*(1 - 2*x)**(5/2)/320","A",0
1884,1,70,0,16.838000," ","integrate((1-2*x)**(3/2)*(2+3*x)**2*(3+5*x)**3,x)","\frac{75 \left(1 - 2 x\right)^{\frac{15}{2}}}{32} - \frac{975 \left(1 - 2 x\right)^{\frac{13}{2}}}{32} + \frac{28555 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} - \frac{21439 \left(1 - 2 x\right)^{\frac{9}{2}}}{48} + \frac{20691 \left(1 - 2 x\right)^{\frac{7}{2}}}{32} - \frac{65219 \left(1 - 2 x\right)^{\frac{5}{2}}}{160}"," ",0,"75*(1 - 2*x)**(15/2)/32 - 975*(1 - 2*x)**(13/2)/32 + 28555*(1 - 2*x)**(11/2)/176 - 21439*(1 - 2*x)**(9/2)/48 + 20691*(1 - 2*x)**(7/2)/32 - 65219*(1 - 2*x)**(5/2)/160","A",0
1885,1,58,0,13.313781," ","integrate((1-2*x)**(3/2)*(2+3*x)*(3+5*x)**3,x)","- \frac{375 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} + \frac{1675 \left(1 - 2 x\right)^{\frac{11}{2}}}{88} - \frac{935 \left(1 - 2 x\right)^{\frac{9}{2}}}{12} + \frac{8349 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} - \frac{9317 \left(1 - 2 x\right)^{\frac{5}{2}}}{80}"," ",0,"-375*(1 - 2*x)**(13/2)/208 + 1675*(1 - 2*x)**(11/2)/88 - 935*(1 - 2*x)**(9/2)/12 + 8349*(1 - 2*x)**(7/2)/56 - 9317*(1 - 2*x)**(5/2)/80","A",0
1886,1,286,0,2.198305," ","integrate((1-2*x)**(3/2)*(3+5*x)**3,x)","\begin{cases} - \frac{100 \sqrt{5} i \left(x + \frac{3}{5}\right)^{5} \sqrt{10 x - 5}}{11} + \frac{40 \sqrt{5} i \left(x + \frac{3}{5}\right)^{4} \sqrt{10 x - 5}}{3} - \frac{11 \sqrt{5} i \left(x + \frac{3}{5}\right)^{3} \sqrt{10 x - 5}}{21} - \frac{121 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{175} - \frac{2662 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{2625} - \frac{29282 \sqrt{5} i \sqrt{10 x - 5}}{13125} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{100 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{5}}{11} + \frac{40 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{4}}{3} - \frac{11 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{3}}{21} - \frac{121 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{175} - \frac{2662 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{2625} - \frac{29282 \sqrt{5} \sqrt{5 - 10 x}}{13125} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-100*sqrt(5)*I*(x + 3/5)**5*sqrt(10*x - 5)/11 + 40*sqrt(5)*I*(x + 3/5)**4*sqrt(10*x - 5)/3 - 11*sqrt(5)*I*(x + 3/5)**3*sqrt(10*x - 5)/21 - 121*sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5)/175 - 2662*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/2625 - 29282*sqrt(5)*I*sqrt(10*x - 5)/13125, 10*Abs(x + 3/5)/11 > 1), (-100*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**5/11 + 40*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**4/3 - 11*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**3/21 - 121*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2/175 - 2662*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/2625 - 29282*sqrt(5)*sqrt(5 - 10*x)/13125, True))","B",0
1887,1,126,0,55.284065," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x),x)","- \frac{125 \left(1 - 2 x\right)^{\frac{9}{2}}}{108} + \frac{400 \left(1 - 2 x\right)^{\frac{7}{2}}}{63} - \frac{1027 \left(1 - 2 x\right)^{\frac{5}{2}}}{108} - \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{243} - \frac{14 \sqrt{1 - 2 x}}{243} - \frac{98 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{243}"," ",0,"-125*(1 - 2*x)**(9/2)/108 + 400*(1 - 2*x)**(7/2)/63 - 1027*(1 - 2*x)**(5/2)/108 - 2*(1 - 2*x)**(3/2)/243 - 14*sqrt(1 - 2*x)/243 - 98*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/243","A",0
1888,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1889,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1890,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1891,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1892,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1893,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1894,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**3/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1895,1,162,0,125.773225," ","integrate((1-2*x)**(3/2)*(2+3*x)**6/(3+5*x),x)","\frac{243 \left(1 - 2 x\right)^{\frac{15}{2}}}{800} - \frac{43011 \left(1 - 2 x\right)^{\frac{13}{2}}}{10400} + \frac{507627 \left(1 - 2 x\right)^{\frac{11}{2}}}{22000} - \frac{665817 \left(1 - 2 x\right)^{\frac{9}{2}}}{10000} + \frac{70752609 \left(1 - 2 x\right)^{\frac{7}{2}}}{700000} - \frac{167115051 \left(1 - 2 x\right)^{\frac{5}{2}}}{2500000} + \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{234375} + \frac{22 \sqrt{1 - 2 x}}{390625} + \frac{242 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{390625}"," ",0,"243*(1 - 2*x)**(15/2)/800 - 43011*(1 - 2*x)**(13/2)/10400 + 507627*(1 - 2*x)**(11/2)/22000 - 665817*(1 - 2*x)**(9/2)/10000 + 70752609*(1 - 2*x)**(7/2)/700000 - 167115051*(1 - 2*x)**(5/2)/2500000 + 2*(1 - 2*x)**(3/2)/234375 + 22*sqrt(1 - 2*x)/390625 + 242*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/390625","A",0
1896,1,150,0,107.197278," ","integrate((1-2*x)**(3/2)*(2+3*x)**5/(3+5*x),x)","- \frac{243 \left(1 - 2 x\right)^{\frac{13}{2}}}{1040} + \frac{5751 \left(1 - 2 x\right)^{\frac{11}{2}}}{2200} - \frac{5673 \left(1 - 2 x\right)^{\frac{9}{2}}}{500} + \frac{806121 \left(1 - 2 x\right)^{\frac{7}{2}}}{35000} - \frac{4774713 \left(1 - 2 x\right)^{\frac{5}{2}}}{250000} + \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{46875} + \frac{22 \sqrt{1 - 2 x}}{78125} + \frac{242 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{78125}"," ",0,"-243*(1 - 2*x)**(13/2)/1040 + 5751*(1 - 2*x)**(11/2)/2200 - 5673*(1 - 2*x)**(9/2)/500 + 806121*(1 - 2*x)**(7/2)/35000 - 4774713*(1 - 2*x)**(5/2)/250000 + 2*(1 - 2*x)**(3/2)/46875 + 22*sqrt(1 - 2*x)/78125 + 242*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/78125","A",0
1897,1,138,0,78.497214," ","integrate((1-2*x)**(3/2)*(2+3*x)**4/(3+5*x),x)","\frac{81 \left(1 - 2 x\right)^{\frac{11}{2}}}{440} - \frac{321 \left(1 - 2 x\right)^{\frac{9}{2}}}{200} + \frac{34371 \left(1 - 2 x\right)^{\frac{7}{2}}}{7000} - \frac{136419 \left(1 - 2 x\right)^{\frac{5}{2}}}{25000} + \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{9375} + \frac{22 \sqrt{1 - 2 x}}{15625} + \frac{242 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{15625}"," ",0,"81*(1 - 2*x)**(11/2)/440 - 321*(1 - 2*x)**(9/2)/200 + 34371*(1 - 2*x)**(7/2)/7000 - 136419*(1 - 2*x)**(5/2)/25000 + 2*(1 - 2*x)**(3/2)/9375 + 22*sqrt(1 - 2*x)/15625 + 242*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/15625","A",0
1898,1,126,0,55.699636," ","integrate((1-2*x)**(3/2)*(2+3*x)**3/(3+5*x),x)","- \frac{3 \left(1 - 2 x\right)^{\frac{9}{2}}}{20} + \frac{162 \left(1 - 2 x\right)^{\frac{7}{2}}}{175} - \frac{3897 \left(1 - 2 x\right)^{\frac{5}{2}}}{2500} + \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{1875} + \frac{22 \sqrt{1 - 2 x}}{3125} + \frac{242 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{3125}"," ",0,"-3*(1 - 2*x)**(9/2)/20 + 162*(1 - 2*x)**(7/2)/175 - 3897*(1 - 2*x)**(5/2)/2500 + 2*(1 - 2*x)**(3/2)/1875 + 22*sqrt(1 - 2*x)/3125 + 242*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/3125","A",0
1899,1,114,0,36.928823," ","integrate((1-2*x)**(3/2)*(2+3*x)**2/(3+5*x),x)","\frac{9 \left(1 - 2 x\right)^{\frac{7}{2}}}{70} - \frac{111 \left(1 - 2 x\right)^{\frac{5}{2}}}{250} + \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{375} + \frac{22 \sqrt{1 - 2 x}}{625} + \frac{242 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{625}"," ",0,"9*(1 - 2*x)**(7/2)/70 - 111*(1 - 2*x)**(5/2)/250 + 2*(1 - 2*x)**(3/2)/375 + 22*sqrt(1 - 2*x)/625 + 242*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/625","A",0
1900,1,102,0,22.078864," ","integrate((1-2*x)**(3/2)*(2+3*x)/(3+5*x),x)","- \frac{3 \left(1 - 2 x\right)^{\frac{5}{2}}}{25} + \frac{2 \left(1 - 2 x\right)^{\frac{3}{2}}}{75} + \frac{22 \sqrt{1 - 2 x}}{125} + \frac{242 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{125}"," ",0,"-3*(1 - 2*x)**(5/2)/25 + 2*(1 - 2*x)**(3/2)/75 + 22*sqrt(1 - 2*x)/125 + 242*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/125","A",0
1901,1,155,0,1.662849," ","integrate((1-2*x)**(3/2)/(3+5*x),x)","\begin{cases} - \frac{4 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{75} + \frac{88 \sqrt{5} i \sqrt{10 x - 5}}{375} + \frac{22 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{125} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{4 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{75} + \frac{88 \sqrt{5} \sqrt{5 - 10 x}}{375} + \frac{11 \sqrt{55} \log{\left(x + \frac{3}{5} \right)}}{125} - \frac{22 \sqrt{55} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{125} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/75 + 88*sqrt(5)*I*sqrt(10*x - 5)/375 + 22*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/125, 10*Abs(x + 3/5)/11 > 1), (-4*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/75 + 88*sqrt(5)*sqrt(5 - 10*x)/375 + 11*sqrt(55)*log(x + 3/5)/125 - 22*sqrt(55)*log(sqrt(5/11 - 10*x/11) + 1)/125, True))","A",0
1902,1,146,0,17.263577," ","integrate((1-2*x)**(3/2)/(2+3*x)/(3+5*x),x)","- \frac{4 \sqrt{1 - 2 x}}{15} - \frac{98 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{3} + \frac{242 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{5}"," ",0,"-4*sqrt(1 - 2*x)/15 - 98*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/3 + 242*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/5","A",0
1903,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**2/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1904,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**3/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1905,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**4/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1906,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**5/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1907,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**6/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1908,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**5/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1909,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**4/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1910,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**3/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1911,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**2/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1912,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1913,1,238,0,1.898436," ","integrate((1-2*x)**(3/2)/(3+5*x)**2,x)","\begin{cases} \frac{6 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{125} + \frac{4 \sqrt{2} \sqrt{x + \frac{3}{5}}}{25 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}} - \frac{11 \sqrt{2}}{125 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{121 \sqrt{2}}{1250 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{6 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{125} - \frac{4 \sqrt{2} i \sqrt{x + \frac{3}{5}}}{25 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}} + \frac{11 \sqrt{2} i}{125 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{121 \sqrt{2} i}{1250 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((6*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/125 + 4*sqrt(2)*sqrt(x + 3/5)/(25*sqrt(-1 + 11/(10*(x + 3/5)))) - 11*sqrt(2)/(125*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - 121*sqrt(2)/(1250*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), 11/(10*Abs(x + 3/5)) > 1), (-6*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/125 - 4*sqrt(2)*I*sqrt(x + 3/5)/(25*sqrt(1 - 11/(10*(x + 3/5)))) + 11*sqrt(2)*I/(125*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + 121*sqrt(2)*I/(1250*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), True))","B",0
1914,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1915,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1916,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1917,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**4/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1918,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**5/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1919,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**4/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1920,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**3/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1921,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**2/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1922,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1923,1,235,0,2.336353," ","integrate((1-2*x)**(3/2)/(3+5*x)**3,x)","\begin{cases} - \frac{3 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{1375} - \frac{\sqrt{2}}{50 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{77 \sqrt{2}}{2500 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} - \frac{121 \sqrt{2}}{12500 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{3 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{1375} + \frac{\sqrt{2} i}{50 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{77 \sqrt{2} i}{2500 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} + \frac{121 \sqrt{2} i}{12500 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/1375 - sqrt(2)/(50*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + 77*sqrt(2)/(2500*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) - 121*sqrt(2)/(12500*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), 11/(10*Abs(x + 3/5)) > 1), (3*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/1375 + sqrt(2)*I/(50*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - 77*sqrt(2)*I/(2500*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) + 121*sqrt(2)*I/(12500*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), True))","A",0
1924,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1925,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1926,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1927,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**4/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1928,1,94,0,31.071478," ","integrate((1-2*x)**(5/2)*(2+3*x)**6*(3+5*x),x)","\frac{1215 \left(1 - 2 x\right)^{\frac{21}{2}}}{896} - \frac{59049 \left(1 - 2 x\right)^{\frac{19}{2}}}{2432} + \frac{409941 \left(1 - 2 x\right)^{\frac{17}{2}}}{2176} - \frac{105399 \left(1 - 2 x\right)^{\frac{15}{2}}}{128} + \frac{3658095 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{5078115 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} + \frac{3916031 \left(1 - 2 x\right)^{\frac{9}{2}}}{1152} - \frac{184877 \left(1 - 2 x\right)^{\frac{7}{2}}}{128}"," ",0,"1215*(1 - 2*x)**(21/2)/896 - 59049*(1 - 2*x)**(19/2)/2432 + 409941*(1 - 2*x)**(17/2)/2176 - 105399*(1 - 2*x)**(15/2)/128 + 3658095*(1 - 2*x)**(13/2)/1664 - 5078115*(1 - 2*x)**(11/2)/1408 + 3916031*(1 - 2*x)**(9/2)/1152 - 184877*(1 - 2*x)**(7/2)/128","A",0
1929,1,82,0,25.699055," ","integrate((1-2*x)**(5/2)*(2+3*x)**5*(3+5*x),x)","- \frac{1215 \left(1 - 2 x\right)^{\frac{19}{2}}}{1216} + \frac{1053 \left(1 - 2 x\right)^{\frac{17}{2}}}{68} - \frac{6489 \left(1 - 2 x\right)^{\frac{15}{2}}}{64} + \frac{37485 \left(1 - 2 x\right)^{\frac{13}{2}}}{104} - \frac{519645 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{60025 \left(1 - 2 x\right)^{\frac{9}{2}}}{72} - \frac{26411 \left(1 - 2 x\right)^{\frac{7}{2}}}{64}"," ",0,"-1215*(1 - 2*x)**(19/2)/1216 + 1053*(1 - 2*x)**(17/2)/68 - 6489*(1 - 2*x)**(15/2)/64 + 37485*(1 - 2*x)**(13/2)/104 - 519645*(1 - 2*x)**(11/2)/704 + 60025*(1 - 2*x)**(9/2)/72 - 26411*(1 - 2*x)**(7/2)/64","A",0
1930,1,70,0,21.444237," ","integrate((1-2*x)**(5/2)*(2+3*x)**4*(3+5*x),x)","\frac{405 \left(1 - 2 x\right)^{\frac{17}{2}}}{544} - \frac{1557 \left(1 - 2 x\right)^{\frac{15}{2}}}{160} + \frac{10773 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} - \frac{24843 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} + \frac{57281 \left(1 - 2 x\right)^{\frac{9}{2}}}{288} - \frac{3773 \left(1 - 2 x\right)^{\frac{7}{2}}}{32}"," ",0,"405*(1 - 2*x)**(17/2)/544 - 1557*(1 - 2*x)**(15/2)/160 + 10773*(1 - 2*x)**(13/2)/208 - 24843*(1 - 2*x)**(11/2)/176 + 57281*(1 - 2*x)**(9/2)/288 - 3773*(1 - 2*x)**(7/2)/32","A",0
1931,1,58,0,17.261429," ","integrate((1-2*x)**(5/2)*(2+3*x)**3*(3+5*x),x)","- \frac{9 \left(1 - 2 x\right)^{\frac{15}{2}}}{16} + \frac{621 \left(1 - 2 x\right)^{\frac{13}{2}}}{104} - \frac{1071 \left(1 - 2 x\right)^{\frac{11}{2}}}{44} + \frac{3283 \left(1 - 2 x\right)^{\frac{9}{2}}}{72} - \frac{539 \left(1 - 2 x\right)^{\frac{7}{2}}}{16}"," ",0,"-9*(1 - 2*x)**(15/2)/16 + 621*(1 - 2*x)**(13/2)/104 - 1071*(1 - 2*x)**(11/2)/44 + 3283*(1 - 2*x)**(9/2)/72 - 539*(1 - 2*x)**(7/2)/16","A",0
1932,1,100,0,1.957225," ","integrate((1-2*x)**(5/2)*(2+3*x)**2*(3+5*x),x)","\frac{360 x^{6} \sqrt{1 - 2 x}}{13} + \frac{4188 x^{5} \sqrt{1 - 2 x}}{143} - \frac{25678 x^{4} \sqrt{1 - 2 x}}{1287} - \frac{32875 x^{3} \sqrt{1 - 2 x}}{1287} + \frac{2434 x^{2} \sqrt{1 - 2 x}}{429} + \frac{11732 x \sqrt{1 - 2 x}}{1287} - \frac{3712 \sqrt{1 - 2 x}}{1287}"," ",0,"360*x**6*sqrt(1 - 2*x)/13 + 4188*x**5*sqrt(1 - 2*x)/143 - 25678*x**4*sqrt(1 - 2*x)/1287 - 32875*x**3*sqrt(1 - 2*x)/1287 + 2434*x**2*sqrt(1 - 2*x)/429 + 11732*x*sqrt(1 - 2*x)/1287 - 3712*sqrt(1 - 2*x)/1287","B",0
1933,1,85,0,1.553582," ","integrate((1-2*x)**(5/2)*(2+3*x)*(3+5*x),x)","\frac{120 x^{5} \sqrt{1 - 2 x}}{11} + \frac{292 x^{4} \sqrt{1 - 2 x}}{99} - \frac{1106 x^{3} \sqrt{1 - 2 x}}{99} - \frac{43 x^{2} \sqrt{1 - 2 x}}{33} + \frac{475 x \sqrt{1 - 2 x}}{99} - \frac{119 \sqrt{1 - 2 x}}{99}"," ",0,"120*x**5*sqrt(1 - 2*x)/11 + 292*x**4*sqrt(1 - 2*x)/99 - 1106*x**3*sqrt(1 - 2*x)/99 - 43*x**2*sqrt(1 - 2*x)/33 + 475*x*sqrt(1 - 2*x)/99 - 119*sqrt(1 - 2*x)/99","B",0
1934,1,70,0,1.136564," ","integrate((1-2*x)**(5/2)*(3+5*x),x)","\frac{40 x^{4} \sqrt{1 - 2 x}}{9} - \frac{164 x^{3} \sqrt{1 - 2 x}}{63} - \frac{58 x^{2} \sqrt{1 - 2 x}}{21} + \frac{157 x \sqrt{1 - 2 x}}{63} - \frac{32 \sqrt{1 - 2 x}}{63}"," ",0,"40*x**4*sqrt(1 - 2*x)/9 - 164*x**3*sqrt(1 - 2*x)/63 - 58*x**2*sqrt(1 - 2*x)/21 + 157*x*sqrt(1 - 2*x)/63 - 32*sqrt(1 - 2*x)/63","B",0
1935,1,116,0,34.937076," ","integrate((1-2*x)**(5/2)*(3+5*x)/(2+3*x),x)","- \frac{5 \left(1 - 2 x\right)^{\frac{7}{2}}}{21} - \frac{2 \left(1 - 2 x\right)^{\frac{5}{2}}}{45} - \frac{14 \left(1 - 2 x\right)^{\frac{3}{2}}}{81} - \frac{98 \sqrt{1 - 2 x}}{81} - \frac{686 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{81}"," ",0,"-5*(1 - 2*x)**(7/2)/21 - 2*(1 - 2*x)**(5/2)/45 - 14*(1 - 2*x)**(3/2)/81 - 98*sqrt(1 - 2*x)/81 - 686*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/81","A",0
1936,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1937,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1938,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1939,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1940,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1941,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1942,1,82,0,25.528735," ","integrate((1-2*x)**(5/2)*(2+3*x)**4*(3+5*x)**2,x)","- \frac{2025 \left(1 - 2 x\right)^{\frac{19}{2}}}{1216} + \frac{13905 \left(1 - 2 x\right)^{\frac{17}{2}}}{544} - \frac{53037 \left(1 - 2 x\right)^{\frac{15}{2}}}{320} + \frac{121359 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} - \frac{832951 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{381073 \left(1 - 2 x\right)^{\frac{9}{2}}}{288} - \frac{41503 \left(1 - 2 x\right)^{\frac{7}{2}}}{64}"," ",0,"-2025*(1 - 2*x)**(19/2)/1216 + 13905*(1 - 2*x)**(17/2)/544 - 53037*(1 - 2*x)**(15/2)/320 + 121359*(1 - 2*x)**(13/2)/208 - 832951*(1 - 2*x)**(11/2)/704 + 381073*(1 - 2*x)**(9/2)/288 - 41503*(1 - 2*x)**(7/2)/64","A",0
1943,1,70,0,21.016394," ","integrate((1-2*x)**(5/2)*(2+3*x)**3*(3+5*x)**2,x)","\frac{675 \left(1 - 2 x\right)^{\frac{17}{2}}}{544} - \frac{513 \left(1 - 2 x\right)^{\frac{15}{2}}}{32} + \frac{17541 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} - \frac{39977 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} + \frac{91091 \left(1 - 2 x\right)^{\frac{9}{2}}}{288} - \frac{5929 \left(1 - 2 x\right)^{\frac{7}{2}}}{32}"," ",0,"675*(1 - 2*x)**(17/2)/544 - 513*(1 - 2*x)**(15/2)/32 + 17541*(1 - 2*x)**(13/2)/208 - 39977*(1 - 2*x)**(11/2)/176 + 91091*(1 - 2*x)**(9/2)/288 - 5929*(1 - 2*x)**(7/2)/32","A",0
1944,1,58,0,17.420154," ","integrate((1-2*x)**(5/2)*(2+3*x)**2*(3+5*x)**2,x)","- \frac{15 \left(1 - 2 x\right)^{\frac{15}{2}}}{16} + \frac{255 \left(1 - 2 x\right)^{\frac{13}{2}}}{26} - \frac{3467 \left(1 - 2 x\right)^{\frac{11}{2}}}{88} + \frac{1309 \left(1 - 2 x\right)^{\frac{9}{2}}}{18} - \frac{847 \left(1 - 2 x\right)^{\frac{7}{2}}}{16}"," ",0,"-15*(1 - 2*x)**(15/2)/16 + 255*(1 - 2*x)**(13/2)/26 - 3467*(1 - 2*x)**(11/2)/88 + 1309*(1 - 2*x)**(9/2)/18 - 847*(1 - 2*x)**(7/2)/16","A",0
1945,1,100,0,2.082563," ","integrate((1-2*x)**(5/2)*(2+3*x)*(3+5*x)**2,x)","\frac{600 x^{6} \sqrt{1 - 2 x}}{13} + \frac{6460 x^{5} \sqrt{1 - 2 x}}{143} - \frac{44062 x^{4} \sqrt{1 - 2 x}}{1287} - \frac{49999 x^{3} \sqrt{1 - 2 x}}{1287} + \frac{4243 x^{2} \sqrt{1 - 2 x}}{429} + \frac{17495 x \sqrt{1 - 2 x}}{1287} - \frac{5671 \sqrt{1 - 2 x}}{1287}"," ",0,"600*x**6*sqrt(1 - 2*x)/13 + 6460*x**5*sqrt(1 - 2*x)/143 - 44062*x**4*sqrt(1 - 2*x)/1287 - 49999*x**3*sqrt(1 - 2*x)/1287 + 4243*x**2*sqrt(1 - 2*x)/429 + 17495*x*sqrt(1 - 2*x)/1287 - 5671*sqrt(1 - 2*x)/1287","B",0
1946,1,85,0,1.666547," ","integrate((1-2*x)**(5/2)*(3+5*x)**2,x)","\frac{200 x^{5} \sqrt{1 - 2 x}}{11} + \frac{340 x^{4} \sqrt{1 - 2 x}}{99} - \frac{12302 x^{3} \sqrt{1 - 2 x}}{693} - \frac{289 x^{2} \sqrt{1 - 2 x}}{231} + \frac{4966 x \sqrt{1 - 2 x}}{693} - \frac{1271 \sqrt{1 - 2 x}}{693}"," ",0,"200*x**5*sqrt(1 - 2*x)/11 + 340*x**4*sqrt(1 - 2*x)/99 - 12302*x**3*sqrt(1 - 2*x)/693 - 289*x**2*sqrt(1 - 2*x)/231 + 4966*x*sqrt(1 - 2*x)/693 - 1271*sqrt(1 - 2*x)/693","B",0
1947,1,126,0,54.898313," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x),x)","\frac{25 \left(1 - 2 x\right)^{\frac{9}{2}}}{54} - \frac{155 \left(1 - 2 x\right)^{\frac{7}{2}}}{126} + \frac{2 \left(1 - 2 x\right)^{\frac{5}{2}}}{135} + \frac{14 \left(1 - 2 x\right)^{\frac{3}{2}}}{243} + \frac{98 \sqrt{1 - 2 x}}{243} + \frac{686 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{243}"," ",0,"25*(1 - 2*x)**(9/2)/54 - 155*(1 - 2*x)**(7/2)/126 + 2*(1 - 2*x)**(5/2)/135 + 14*(1 - 2*x)**(3/2)/243 + 98*sqrt(1 - 2*x)/243 + 686*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/243","A",0
1948,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1949,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1950,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1951,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1952,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1953,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1954,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**2/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1955,1,94,0,30.129864," ","integrate((1-2*x)**(5/2)*(2+3*x)**4*(3+5*x)**3,x)","\frac{3375 \left(1 - 2 x\right)^{\frac{21}{2}}}{896} - \frac{161325 \left(1 - 2 x\right)^{\frac{19}{2}}}{2432} + \frac{1101465 \left(1 - 2 x\right)^{\frac{17}{2}}}{2176} - \frac{1392467 \left(1 - 2 x\right)^{\frac{15}{2}}}{640} + \frac{9504551 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{1179381 \left(1 - 2 x\right)^{\frac{11}{2}}}{128} + \frac{3278737 \left(1 - 2 x\right)^{\frac{9}{2}}}{384} - \frac{456533 \left(1 - 2 x\right)^{\frac{7}{2}}}{128}"," ",0,"3375*(1 - 2*x)**(21/2)/896 - 161325*(1 - 2*x)**(19/2)/2432 + 1101465*(1 - 2*x)**(17/2)/2176 - 1392467*(1 - 2*x)**(15/2)/640 + 9504551*(1 - 2*x)**(13/2)/1664 - 1179381*(1 - 2*x)**(11/2)/128 + 3278737*(1 - 2*x)**(9/2)/384 - 456533*(1 - 2*x)**(7/2)/128","A",0
1956,1,82,0,25.294068," ","integrate((1-2*x)**(5/2)*(2+3*x)**3*(3+5*x)**3,x)","- \frac{3375 \left(1 - 2 x\right)^{\frac{19}{2}}}{1216} + \frac{675 \left(1 - 2 x\right)^{\frac{17}{2}}}{16} - \frac{17337 \left(1 - 2 x\right)^{\frac{15}{2}}}{64} + \frac{98209 \left(1 - 2 x\right)^{\frac{13}{2}}}{104} - \frac{121359 \left(1 - 2 x\right)^{\frac{11}{2}}}{64} + \frac{100793 \left(1 - 2 x\right)^{\frac{9}{2}}}{48} - \frac{65219 \left(1 - 2 x\right)^{\frac{7}{2}}}{64}"," ",0,"-3375*(1 - 2*x)**(19/2)/1216 + 675*(1 - 2*x)**(17/2)/16 - 17337*(1 - 2*x)**(15/2)/64 + 98209*(1 - 2*x)**(13/2)/104 - 121359*(1 - 2*x)**(11/2)/64 + 100793*(1 - 2*x)**(9/2)/48 - 65219*(1 - 2*x)**(7/2)/64","A",0
1957,1,70,0,20.849840," ","integrate((1-2*x)**(5/2)*(2+3*x)**2*(3+5*x)**3,x)","\frac{1125 \left(1 - 2 x\right)^{\frac{17}{2}}}{544} - \frac{845 \left(1 - 2 x\right)^{\frac{15}{2}}}{32} + \frac{28555 \left(1 - 2 x\right)^{\frac{13}{2}}}{208} - \frac{5847 \left(1 - 2 x\right)^{\frac{11}{2}}}{16} + \frac{16093 \left(1 - 2 x\right)^{\frac{9}{2}}}{32} - \frac{9317 \left(1 - 2 x\right)^{\frac{7}{2}}}{32}"," ",0,"1125*(1 - 2*x)**(17/2)/544 - 845*(1 - 2*x)**(15/2)/32 + 28555*(1 - 2*x)**(13/2)/208 - 5847*(1 - 2*x)**(11/2)/16 + 16093*(1 - 2*x)**(9/2)/32 - 9317*(1 - 2*x)**(7/2)/32","A",0
1958,1,58,0,16.926320," ","integrate((1-2*x)**(5/2)*(2+3*x)*(3+5*x)**3,x)","- \frac{25 \left(1 - 2 x\right)^{\frac{15}{2}}}{16} + \frac{1675 \left(1 - 2 x\right)^{\frac{13}{2}}}{104} - \frac{255 \left(1 - 2 x\right)^{\frac{11}{2}}}{4} + \frac{2783 \left(1 - 2 x\right)^{\frac{9}{2}}}{24} - \frac{1331 \left(1 - 2 x\right)^{\frac{7}{2}}}{16}"," ",0,"-25*(1 - 2*x)**(15/2)/16 + 1675*(1 - 2*x)**(13/2)/104 - 255*(1 - 2*x)**(11/2)/4 + 2783*(1 - 2*x)**(9/2)/24 - 1331*(1 - 2*x)**(7/2)/16","A",0
1959,1,100,0,1.952013," ","integrate((1-2*x)**(5/2)*(3+5*x)**3,x)","\frac{1000 x^{6} \sqrt{1 - 2 x}}{13} + \frac{900 x^{5} \sqrt{1 - 2 x}}{13} - \frac{2270 x^{4} \sqrt{1 - 2 x}}{39} - \frac{16061 x^{3} \sqrt{1 - 2 x}}{273} + \frac{1538 x^{2} \sqrt{1 - 2 x}}{91} + \frac{5533 x \sqrt{1 - 2 x}}{273} - \frac{1838 \sqrt{1 - 2 x}}{273}"," ",0,"1000*x**6*sqrt(1 - 2*x)/13 + 900*x**5*sqrt(1 - 2*x)/13 - 2270*x**4*sqrt(1 - 2*x)/39 - 16061*x**3*sqrt(1 - 2*x)/273 + 1538*x**2*sqrt(1 - 2*x)/91 + 5533*x*sqrt(1 - 2*x)/273 - 1838*sqrt(1 - 2*x)/273","B",0
1960,1,138,0,76.983079," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x),x)","- \frac{125 \left(1 - 2 x\right)^{\frac{11}{2}}}{132} + \frac{400 \left(1 - 2 x\right)^{\frac{9}{2}}}{81} - \frac{5135 \left(1 - 2 x\right)^{\frac{7}{2}}}{756} - \frac{2 \left(1 - 2 x\right)^{\frac{5}{2}}}{405} - \frac{14 \left(1 - 2 x\right)^{\frac{3}{2}}}{729} - \frac{98 \sqrt{1 - 2 x}}{729} - \frac{686 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{729}"," ",0,"-125*(1 - 2*x)**(11/2)/132 + 400*(1 - 2*x)**(9/2)/81 - 5135*(1 - 2*x)**(7/2)/756 - 2*(1 - 2*x)**(5/2)/405 - 14*(1 - 2*x)**(3/2)/729 - 98*sqrt(1 - 2*x)/729 - 686*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/729","A",0
1961,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1962,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1963,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1964,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1965,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1966,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1967,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**3/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1968,1,150,0,103.658092," ","integrate((1-2*x)**(5/2)*(2+3*x)**4/(3+5*x),x)","\frac{81 \left(1 - 2 x\right)^{\frac{13}{2}}}{520} - \frac{2889 \left(1 - 2 x\right)^{\frac{11}{2}}}{2200} + \frac{3819 \left(1 - 2 x\right)^{\frac{9}{2}}}{1000} - \frac{136419 \left(1 - 2 x\right)^{\frac{7}{2}}}{35000} + \frac{2 \left(1 - 2 x\right)^{\frac{5}{2}}}{15625} + \frac{22 \left(1 - 2 x\right)^{\frac{3}{2}}}{46875} + \frac{242 \sqrt{1 - 2 x}}{78125} + \frac{2662 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{78125}"," ",0,"81*(1 - 2*x)**(13/2)/520 - 2889*(1 - 2*x)**(11/2)/2200 + 3819*(1 - 2*x)**(9/2)/1000 - 136419*(1 - 2*x)**(7/2)/35000 + 2*(1 - 2*x)**(5/2)/15625 + 22*(1 - 2*x)**(3/2)/46875 + 242*sqrt(1 - 2*x)/78125 + 2662*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/78125","A",0
1969,1,138,0,76.953065," ","integrate((1-2*x)**(5/2)*(2+3*x)**3/(3+5*x),x)","- \frac{27 \left(1 - 2 x\right)^{\frac{11}{2}}}{220} + \frac{18 \left(1 - 2 x\right)^{\frac{9}{2}}}{25} - \frac{3897 \left(1 - 2 x\right)^{\frac{7}{2}}}{3500} + \frac{2 \left(1 - 2 x\right)^{\frac{5}{2}}}{3125} + \frac{22 \left(1 - 2 x\right)^{\frac{3}{2}}}{9375} + \frac{242 \sqrt{1 - 2 x}}{15625} + \frac{2662 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{15625}"," ",0,"-27*(1 - 2*x)**(11/2)/220 + 18*(1 - 2*x)**(9/2)/25 - 3897*(1 - 2*x)**(7/2)/3500 + 2*(1 - 2*x)**(5/2)/3125 + 22*(1 - 2*x)**(3/2)/9375 + 242*sqrt(1 - 2*x)/15625 + 2662*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/15625","A",0
1970,1,124,0,54.483032," ","integrate((1-2*x)**(5/2)*(2+3*x)**2/(3+5*x),x)","\frac{\left(1 - 2 x\right)^{\frac{9}{2}}}{10} - \frac{111 \left(1 - 2 x\right)^{\frac{7}{2}}}{350} + \frac{2 \left(1 - 2 x\right)^{\frac{5}{2}}}{625} + \frac{22 \left(1 - 2 x\right)^{\frac{3}{2}}}{1875} + \frac{242 \sqrt{1 - 2 x}}{3125} + \frac{2662 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{3125}"," ",0,"(1 - 2*x)**(9/2)/10 - 111*(1 - 2*x)**(7/2)/350 + 2*(1 - 2*x)**(5/2)/625 + 22*(1 - 2*x)**(3/2)/1875 + 242*sqrt(1 - 2*x)/3125 + 2662*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/3125","A",0
1971,1,114,0,35.952963," ","integrate((1-2*x)**(5/2)*(2+3*x)/(3+5*x),x)","- \frac{3 \left(1 - 2 x\right)^{\frac{7}{2}}}{35} + \frac{2 \left(1 - 2 x\right)^{\frac{5}{2}}}{125} + \frac{22 \left(1 - 2 x\right)^{\frac{3}{2}}}{375} + \frac{242 \sqrt{1 - 2 x}}{625} + \frac{2662 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{625}"," ",0,"-3*(1 - 2*x)**(7/2)/35 + 2*(1 - 2*x)**(5/2)/125 + 22*(1 - 2*x)**(3/2)/375 + 242*sqrt(1 - 2*x)/625 + 2662*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/625","A",0
1972,1,204,0,2.769516," ","integrate((1-2*x)**(5/2)/(3+5*x),x)","\begin{cases} \frac{8 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{125} - \frac{484 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{1875} + \frac{5566 \sqrt{5} i \sqrt{10 x - 5}}{9375} + \frac{242 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{625} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{8 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{125} - \frac{484 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{1875} + \frac{5566 \sqrt{5} \sqrt{5 - 10 x}}{9375} + \frac{121 \sqrt{55} \log{\left(x + \frac{3}{5} \right)}}{625} - \frac{242 \sqrt{55} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{625} & \text{otherwise} \end{cases}"," ",0,"Piecewise((8*sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5)/125 - 484*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/1875 + 5566*sqrt(5)*I*sqrt(10*x - 5)/9375 + 242*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/625, 10*Abs(x + 3/5)/11 > 1), (8*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2/125 - 484*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/1875 + 5566*sqrt(5)*sqrt(5 - 10*x)/9375 + 121*sqrt(55)*log(x + 3/5)/625 - 242*sqrt(55)*log(sqrt(5/11 - 10*x/11) + 1)/625, True))","A",0
1973,1,158,0,28.312112," ","integrate((1-2*x)**(5/2)/(2+3*x)/(3+5*x),x)","- \frac{4 \left(1 - 2 x\right)^{\frac{3}{2}}}{45} - \frac{272 \sqrt{1 - 2 x}}{225} - \frac{686 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{9} + \frac{2662 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{25}"," ",0,"-4*(1 - 2*x)**(3/2)/45 - 272*sqrt(1 - 2*x)/225 - 686*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/9 + 2662*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/25","A",0
1974,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**2/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1975,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**3/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1976,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**4/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1977,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**5/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1978,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**6/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1979,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**7/(3+5*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1980,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**4/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1981,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1982,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**2/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1983,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1984,1,197,0,2.514702," ","integrate((1-2*x)**(5/2)/(3+5*x)**2,x)","\begin{cases} \frac{8 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{375} - \frac{308 \sqrt{5} i \sqrt{10 x - 5}}{1875} - \frac{22 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{125} - \frac{121 \sqrt{5} i \sqrt{10 x - 5}}{3125 \left(x + \frac{3}{5}\right)} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{8 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{375} - \frac{308 \sqrt{5} \sqrt{5 - 10 x}}{1875} - \frac{121 \sqrt{5} \sqrt{5 - 10 x}}{3125 \left(x + \frac{3}{5}\right)} - \frac{11 \sqrt{55} \log{\left(x + \frac{3}{5} \right)}}{125} + \frac{22 \sqrt{55} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{125} & \text{otherwise} \end{cases}"," ",0,"Piecewise((8*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/375 - 308*sqrt(5)*I*sqrt(10*x - 5)/1875 - 22*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/125 - 121*sqrt(5)*I*sqrt(10*x - 5)/(3125*(x + 3/5)), 10*Abs(x + 3/5)/11 > 1), (8*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/375 - 308*sqrt(5)*sqrt(5 - 10*x)/1875 - 121*sqrt(5)*sqrt(5 - 10*x)/(3125*(x + 3/5)) - 11*sqrt(55)*log(x + 3/5)/125 + 22*sqrt(55)*log(sqrt(5/11 - 10*x/11) + 1)/125, True))","A",0
1985,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1986,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1987,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1988,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**4/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1989,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**5/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1990,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**6/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1991,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**4/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1992,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1993,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**2/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1994,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1995,1,298,0,2.966642," ","integrate((1-2*x)**(5/2)/(3+5*x)**3,x)","\begin{cases} - \frac{3 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{125} - \frac{8 \sqrt{2} \sqrt{x + \frac{3}{5}}}{125 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}} - \frac{11 \sqrt{2}}{1250 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{1331 \sqrt{2}}{12500 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} - \frac{1331 \sqrt{2}}{62500 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{3 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{125} + \frac{8 \sqrt{2} i \sqrt{x + \frac{3}{5}}}{125 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}} + \frac{11 \sqrt{2} i}{1250 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{1331 \sqrt{2} i}{12500 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} + \frac{1331 \sqrt{2} i}{62500 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/125 - 8*sqrt(2)*sqrt(x + 3/5)/(125*sqrt(-1 + 11/(10*(x + 3/5)))) - 11*sqrt(2)/(1250*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + 1331*sqrt(2)/(12500*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) - 1331*sqrt(2)/(62500*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), 11/(10*Abs(x + 3/5)) > 1), (3*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/125 + 8*sqrt(2)*I*sqrt(x + 3/5)/(125*sqrt(1 - 11/(10*(x + 3/5)))) + 11*sqrt(2)*I/(1250*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - 1331*sqrt(2)*I/(12500*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) + 1331*sqrt(2)*I/(62500*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), True))","B",0
1996,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1997,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1998,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1999,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**4/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2000,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**5/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2001,1,82,0,89.556500," ","integrate((2+3*x)**5*(3+5*x)/(1-2*x)**(1/2),x)","- \frac{1215 \left(1 - 2 x\right)^{\frac{13}{2}}}{832} + \frac{1053 \left(1 - 2 x\right)^{\frac{11}{2}}}{44} - \frac{10815 \left(1 - 2 x\right)^{\frac{9}{2}}}{64} + \frac{5355 \left(1 - 2 x\right)^{\frac{7}{2}}}{8} - \frac{103929 \left(1 - 2 x\right)^{\frac{5}{2}}}{64} + \frac{60025 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} - \frac{184877 \sqrt{1 - 2 x}}{64}"," ",0,"-1215*(1 - 2*x)**(13/2)/832 + 1053*(1 - 2*x)**(11/2)/44 - 10815*(1 - 2*x)**(9/2)/64 + 5355*(1 - 2*x)**(7/2)/8 - 103929*(1 - 2*x)**(5/2)/64 + 60025*(1 - 2*x)**(3/2)/24 - 184877*sqrt(1 - 2*x)/64","A",0
2002,1,70,0,61.449865," ","integrate((2+3*x)**4*(3+5*x)/(1-2*x)**(1/2),x)","\frac{405 \left(1 - 2 x\right)^{\frac{11}{2}}}{352} - \frac{519 \left(1 - 2 x\right)^{\frac{9}{2}}}{32} + \frac{1539 \left(1 - 2 x\right)^{\frac{7}{2}}}{16} - \frac{24843 \left(1 - 2 x\right)^{\frac{5}{2}}}{80} + \frac{57281 \left(1 - 2 x\right)^{\frac{3}{2}}}{96} - \frac{26411 \sqrt{1 - 2 x}}{32}"," ",0,"405*(1 - 2*x)**(11/2)/352 - 519*(1 - 2*x)**(9/2)/32 + 1539*(1 - 2*x)**(7/2)/16 - 24843*(1 - 2*x)**(5/2)/80 + 57281*(1 - 2*x)**(3/2)/96 - 26411*sqrt(1 - 2*x)/32","A",0
2003,1,58,0,44.145600," ","integrate((2+3*x)**3*(3+5*x)/(1-2*x)**(1/2),x)","- \frac{15 \left(1 - 2 x\right)^{\frac{9}{2}}}{16} + \frac{621 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} - \frac{1071 \left(1 - 2 x\right)^{\frac{5}{2}}}{20} + \frac{3283 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} - \frac{3773 \sqrt{1 - 2 x}}{16}"," ",0,"-15*(1 - 2*x)**(9/2)/16 + 621*(1 - 2*x)**(7/2)/56 - 1071*(1 - 2*x)**(5/2)/20 + 3283*(1 - 2*x)**(3/2)/24 - 3773*sqrt(1 - 2*x)/16","A",0
2004,1,46,0,28.636466," ","integrate((2+3*x)**2*(3+5*x)/(1-2*x)**(1/2),x)","\frac{45 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} - \frac{309 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} + \frac{707 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} - \frac{539 \sqrt{1 - 2 x}}{8}"," ",0,"45*(1 - 2*x)**(7/2)/56 - 309*(1 - 2*x)**(5/2)/40 + 707*(1 - 2*x)**(3/2)/24 - 539*sqrt(1 - 2*x)/8","A",0
2005,1,34,0,16.838824," ","integrate((2+3*x)*(3+5*x)/(1-2*x)**(1/2),x)","- \frac{3 \left(1 - 2 x\right)^{\frac{5}{2}}}{4} + \frac{17 \left(1 - 2 x\right)^{\frac{3}{2}}}{3} - \frac{77 \sqrt{1 - 2 x}}{4}"," ",0,"-3*(1 - 2*x)**(5/2)/4 + 17*(1 - 2*x)**(3/2)/3 - 77*sqrt(1 - 2*x)/4","A",0
2006,1,88,0,0.974750," ","integrate((3+5*x)/(1-2*x)**(1/2),x)","\begin{cases} - \frac{\sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{3} - \frac{11 \sqrt{5} i \sqrt{10 x - 5}}{15} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{\sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{3} - \frac{11 \sqrt{5} \sqrt{5 - 10 x}}{15} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/3 - 11*sqrt(5)*I*sqrt(10*x - 5)/15, 10*Abs(x + 3/5)/11 > 1), (-sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/3 - 11*sqrt(5)*sqrt(5 - 10*x)/15, True))","A",0
2007,1,80,0,11.891175," ","integrate((3+5*x)/(2+3*x)/(1-2*x)**(1/2),x)","- \frac{5 \sqrt{1 - 2 x}}{3} - \frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} > \frac{3}{7} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} < \frac{3}{7} \end{cases}\right)}{3}"," ",0,"-5*sqrt(1 - 2*x)/3 - 2*Piecewise((-sqrt(21)*acoth(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) > 3/7), (-sqrt(21)*atanh(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) < 3/7))/3","A",0
2008,-1,0,0,0.000000," ","integrate((3+5*x)/(2+3*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2009,-1,0,0,0.000000," ","integrate((3+5*x)/(2+3*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2010,-1,0,0,0.000000," ","integrate((3+5*x)/(2+3*x)**4/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2011,-1,0,0,0.000000," ","integrate((3+5*x)/(2+3*x)**5/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2012,1,94,0,98.850781," ","integrate((2+3*x)**5*(3+5*x)**2/(1-2*x)**(1/2),x)","\frac{405 \left(1 - 2 x\right)^{\frac{15}{2}}}{128} - \frac{97605 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} + \frac{672003 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} - \frac{285565 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} + \frac{842415 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} - \frac{1623419 \left(1 - 2 x\right)^{\frac{5}{2}}}{128} + \frac{6206585 \left(1 - 2 x\right)^{\frac{3}{2}}}{384} - \frac{2033647 \sqrt{1 - 2 x}}{128}"," ",0,"405*(1 - 2*x)**(15/2)/128 - 97605*(1 - 2*x)**(13/2)/1664 + 672003*(1 - 2*x)**(11/2)/1408 - 285565*(1 - 2*x)**(9/2)/128 + 842415*(1 - 2*x)**(7/2)/128 - 1623419*(1 - 2*x)**(5/2)/128 + 6206585*(1 - 2*x)**(3/2)/384 - 2033647*sqrt(1 - 2*x)/128","A",0
2013,1,82,0,89.642427," ","integrate((2+3*x)**4*(3+5*x)**2/(1-2*x)**(1/2),x)","- \frac{2025 \left(1 - 2 x\right)^{\frac{13}{2}}}{832} + \frac{13905 \left(1 - 2 x\right)^{\frac{11}{2}}}{352} - \frac{17679 \left(1 - 2 x\right)^{\frac{9}{2}}}{64} + \frac{17337 \left(1 - 2 x\right)^{\frac{7}{2}}}{16} - \frac{832951 \left(1 - 2 x\right)^{\frac{5}{2}}}{320} + \frac{381073 \left(1 - 2 x\right)^{\frac{3}{2}}}{96} - \frac{290521 \sqrt{1 - 2 x}}{64}"," ",0,"-2025*(1 - 2*x)**(13/2)/832 + 13905*(1 - 2*x)**(11/2)/352 - 17679*(1 - 2*x)**(9/2)/64 + 17337*(1 - 2*x)**(7/2)/16 - 832951*(1 - 2*x)**(5/2)/320 + 381073*(1 - 2*x)**(3/2)/96 - 290521*sqrt(1 - 2*x)/64","A",0
2014,1,70,0,72.282533," ","integrate((2+3*x)**3*(3+5*x)**2/(1-2*x)**(1/2),x)","\frac{675 \left(1 - 2 x\right)^{\frac{11}{2}}}{352} - \frac{855 \left(1 - 2 x\right)^{\frac{9}{2}}}{32} + \frac{17541 \left(1 - 2 x\right)^{\frac{7}{2}}}{112} - \frac{39977 \left(1 - 2 x\right)^{\frac{5}{2}}}{80} + \frac{91091 \left(1 - 2 x\right)^{\frac{3}{2}}}{96} - \frac{41503 \sqrt{1 - 2 x}}{32}"," ",0,"675*(1 - 2*x)**(11/2)/352 - 855*(1 - 2*x)**(9/2)/32 + 17541*(1 - 2*x)**(7/2)/112 - 39977*(1 - 2*x)**(5/2)/80 + 91091*(1 - 2*x)**(3/2)/96 - 41503*sqrt(1 - 2*x)/32","A",0
2015,1,58,0,47.642204," ","integrate((2+3*x)**2*(3+5*x)**2/(1-2*x)**(1/2),x)","- \frac{25 \left(1 - 2 x\right)^{\frac{9}{2}}}{16} + \frac{255 \left(1 - 2 x\right)^{\frac{7}{2}}}{14} - \frac{3467 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} + \frac{1309 \left(1 - 2 x\right)^{\frac{3}{2}}}{6} - \frac{5929 \sqrt{1 - 2 x}}{16}"," ",0,"-25*(1 - 2*x)**(9/2)/16 + 255*(1 - 2*x)**(7/2)/14 - 3467*(1 - 2*x)**(5/2)/40 + 1309*(1 - 2*x)**(3/2)/6 - 5929*sqrt(1 - 2*x)/16","A",0
2016,1,46,0,29.083398," ","integrate((2+3*x)*(3+5*x)**2/(1-2*x)**(1/2),x)","\frac{75 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} - \frac{101 \left(1 - 2 x\right)^{\frac{5}{2}}}{8} + \frac{1133 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} - \frac{847 \sqrt{1 - 2 x}}{8}"," ",0,"75*(1 - 2*x)**(7/2)/56 - 101*(1 - 2*x)**(5/2)/8 + 1133*(1 - 2*x)**(3/2)/24 - 847*sqrt(1 - 2*x)/8","A",0
2017,1,134,0,1.392698," ","integrate((3+5*x)**2/(1-2*x)**(1/2),x)","\begin{cases} - \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5} - \frac{22 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{15} - \frac{242 \sqrt{5} i \sqrt{10 x - 5}}{75} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2} - \frac{22 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{15} - \frac{242 \sqrt{5} \sqrt{5 - 10 x}}{75} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5) - 22*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/15 - 242*sqrt(5)*I*sqrt(10*x - 5)/75, 10*Abs(x + 3/5)/11 > 1), (-sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2 - 22*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/15 - 242*sqrt(5)*sqrt(5 - 10*x)/75, True))","A",0
2018,1,90,0,22.534252," ","integrate((3+5*x)**2/(2+3*x)/(1-2*x)**(1/2),x)","\frac{25 \left(1 - 2 x\right)^{\frac{3}{2}}}{18} - \frac{155 \sqrt{1 - 2 x}}{18} + \frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} > \frac{3}{7} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} < \frac{3}{7} \end{cases}\right)}{9}"," ",0,"25*(1 - 2*x)**(3/2)/18 - 155*sqrt(1 - 2*x)/18 + 2*Piecewise((-sqrt(21)*acoth(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) > 3/7), (-sqrt(21)*atanh(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) < 3/7))/9","A",0
2019,-1,0,0,0.000000," ","integrate((3+5*x)**2/(2+3*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2020,-1,0,0,0.000000," ","integrate((3+5*x)**2/(2+3*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2021,-1,0,0,0.000000," ","integrate((3+5*x)**2/(2+3*x)**4/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2022,-1,0,0,0.000000," ","integrate((3+5*x)**2/(2+3*x)**5/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2023,-1,0,0,0.000000," ","integrate((3+5*x)**2/(2+3*x)**6/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2024,1,94,0,99.941440," ","integrate((2+3*x)**4*(3+5*x)**3/(1-2*x)**(1/2),x)","\frac{675 \left(1 - 2 x\right)^{\frac{15}{2}}}{128} - \frac{161325 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} + \frac{1101465 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} - \frac{1392467 \left(1 - 2 x\right)^{\frac{9}{2}}}{384} + \frac{1357793 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} - \frac{12973191 \left(1 - 2 x\right)^{\frac{5}{2}}}{640} + \frac{3278737 \left(1 - 2 x\right)^{\frac{3}{2}}}{128} - \frac{3195731 \sqrt{1 - 2 x}}{128}"," ",0,"675*(1 - 2*x)**(15/2)/128 - 161325*(1 - 2*x)**(13/2)/1664 + 1101465*(1 - 2*x)**(11/2)/1408 - 1392467*(1 - 2*x)**(9/2)/384 + 1357793*(1 - 2*x)**(7/2)/128 - 12973191*(1 - 2*x)**(5/2)/640 + 3278737*(1 - 2*x)**(3/2)/128 - 3195731*sqrt(1 - 2*x)/128","A",0
2025,1,82,0,78.540179," ","integrate((2+3*x)**3*(3+5*x)**3/(1-2*x)**(1/2),x)","- \frac{3375 \left(1 - 2 x\right)^{\frac{13}{2}}}{832} + \frac{11475 \left(1 - 2 x\right)^{\frac{11}{2}}}{176} - \frac{28895 \left(1 - 2 x\right)^{\frac{9}{2}}}{64} + \frac{98209 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} - \frac{1334949 \left(1 - 2 x\right)^{\frac{5}{2}}}{320} + \frac{100793 \left(1 - 2 x\right)^{\frac{3}{2}}}{16} - \frac{456533 \sqrt{1 - 2 x}}{64}"," ",0,"-3375*(1 - 2*x)**(13/2)/832 + 11475*(1 - 2*x)**(11/2)/176 - 28895*(1 - 2*x)**(9/2)/64 + 98209*(1 - 2*x)**(7/2)/56 - 1334949*(1 - 2*x)**(5/2)/320 + 100793*(1 - 2*x)**(3/2)/16 - 456533*sqrt(1 - 2*x)/64","A",0
2026,1,70,0,59.465881," ","integrate((2+3*x)**2*(3+5*x)**3/(1-2*x)**(1/2),x)","\frac{1125 \left(1 - 2 x\right)^{\frac{11}{2}}}{352} - \frac{4225 \left(1 - 2 x\right)^{\frac{9}{2}}}{96} + \frac{28555 \left(1 - 2 x\right)^{\frac{7}{2}}}{112} - \frac{64317 \left(1 - 2 x\right)^{\frac{5}{2}}}{80} + \frac{48279 \left(1 - 2 x\right)^{\frac{3}{2}}}{32} - \frac{65219 \sqrt{1 - 2 x}}{32}"," ",0,"1125*(1 - 2*x)**(11/2)/352 - 4225*(1 - 2*x)**(9/2)/96 + 28555*(1 - 2*x)**(7/2)/112 - 64317*(1 - 2*x)**(5/2)/80 + 48279*(1 - 2*x)**(3/2)/32 - 65219*sqrt(1 - 2*x)/32","A",0
2027,1,58,0,42.900000," ","integrate((2+3*x)*(3+5*x)**3/(1-2*x)**(1/2),x)","- \frac{125 \left(1 - 2 x\right)^{\frac{9}{2}}}{48} + \frac{1675 \left(1 - 2 x\right)^{\frac{7}{2}}}{56} - \frac{561 \left(1 - 2 x\right)^{\frac{5}{2}}}{4} + \frac{2783 \left(1 - 2 x\right)^{\frac{3}{2}}}{8} - \frac{9317 \sqrt{1 - 2 x}}{16}"," ",0,"-125*(1 - 2*x)**(9/2)/48 + 1675*(1 - 2*x)**(7/2)/56 - 561*(1 - 2*x)**(5/2)/4 + 2783*(1 - 2*x)**(3/2)/8 - 9317*sqrt(1 - 2*x)/16","A",0
2028,1,190,0,2.048754," ","integrate((3+5*x)**3/(1-2*x)**(1/2),x)","\begin{cases} - \frac{25 \sqrt{5} i \left(x + \frac{3}{5}\right)^{3} \sqrt{10 x - 5}}{7} - \frac{33 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{7} - \frac{242 \sqrt{5} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{35} - \frac{2662 \sqrt{5} i \sqrt{10 x - 5}}{175} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{25 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{3}}{7} - \frac{33 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{7} - \frac{242 \sqrt{5} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{35} - \frac{2662 \sqrt{5} \sqrt{5 - 10 x}}{175} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-25*sqrt(5)*I*(x + 3/5)**3*sqrt(10*x - 5)/7 - 33*sqrt(5)*I*(x + 3/5)**2*sqrt(10*x - 5)/7 - 242*sqrt(5)*I*(x + 3/5)*sqrt(10*x - 5)/35 - 2662*sqrt(5)*I*sqrt(10*x - 5)/175, 10*Abs(x + 3/5)/11 > 1), (-25*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**3/7 - 33*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)**2/7 - 242*sqrt(5)*sqrt(5 - 10*x)*(x + 3/5)/35 - 2662*sqrt(5)*sqrt(5 - 10*x)/175, True))","A",0
2029,1,102,0,36.187385," ","integrate((3+5*x)**3/(2+3*x)/(1-2*x)**(1/2),x)","- \frac{25 \left(1 - 2 x\right)^{\frac{5}{2}}}{12} + \frac{400 \left(1 - 2 x\right)^{\frac{3}{2}}}{27} - \frac{5135 \sqrt{1 - 2 x}}{108} - \frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} > \frac{3}{7} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} < \frac{3}{7} \end{cases}\right)}{27}"," ",0,"-25*(1 - 2*x)**(5/2)/12 + 400*(1 - 2*x)**(3/2)/27 - 5135*sqrt(1 - 2*x)/108 - 2*Piecewise((-sqrt(21)*acoth(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) > 3/7), (-sqrt(21)*atanh(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) < 3/7))/27","A",0
2030,-1,0,0,0.000000," ","integrate((3+5*x)**3/(2+3*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2031,-1,0,0,0.000000," ","integrate((3+5*x)**3/(2+3*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2032,-1,0,0,0.000000," ","integrate((3+5*x)**3/(2+3*x)**4/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2033,-1,0,0,0.000000," ","integrate((3+5*x)**3/(2+3*x)**5/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2034,-1,0,0,0.000000," ","integrate((3+5*x)**3/(2+3*x)**6/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2035,-1,0,0,0.000000," ","integrate((b*x+a)**2/(d*x+c)**2/(f*x+e)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2036,1,126,0,78.714366," ","integrate((2+3*x)**5/(3+5*x)/(1-2*x)**(1/2),x)","- \frac{27 \left(1 - 2 x\right)^{\frac{9}{2}}}{80} + \frac{5751 \left(1 - 2 x\right)^{\frac{7}{2}}}{1400} - \frac{51057 \left(1 - 2 x\right)^{\frac{5}{2}}}{2500} + \frac{268707 \left(1 - 2 x\right)^{\frac{3}{2}}}{5000} - \frac{4774713 \sqrt{1 - 2 x}}{50000} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} > \frac{5}{11} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} < \frac{5}{11} \end{cases}\right)}{3125}"," ",0,"-27*(1 - 2*x)**(9/2)/80 + 5751*(1 - 2*x)**(7/2)/1400 - 51057*(1 - 2*x)**(5/2)/2500 + 268707*(1 - 2*x)**(3/2)/5000 - 4774713*sqrt(1 - 2*x)/50000 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) > 5/11), (-sqrt(55)*atanh(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) < 5/11))/3125","A",0
2037,1,114,0,55.934985," ","integrate((2+3*x)**4/(3+5*x)/(1-2*x)**(1/2),x)","\frac{81 \left(1 - 2 x\right)^{\frac{7}{2}}}{280} - \frac{2889 \left(1 - 2 x\right)^{\frac{5}{2}}}{1000} + \frac{11457 \left(1 - 2 x\right)^{\frac{3}{2}}}{1000} - \frac{136419 \sqrt{1 - 2 x}}{5000} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} > \frac{5}{11} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} < \frac{5}{11} \end{cases}\right)}{625}"," ",0,"81*(1 - 2*x)**(7/2)/280 - 2889*(1 - 2*x)**(5/2)/1000 + 11457*(1 - 2*x)**(3/2)/1000 - 136419*sqrt(1 - 2*x)/5000 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) > 5/11), (-sqrt(55)*atanh(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) < 5/11))/625","A",0
2038,1,102,0,37.256874," ","integrate((2+3*x)**3/(3+5*x)/(1-2*x)**(1/2),x)","- \frac{27 \left(1 - 2 x\right)^{\frac{5}{2}}}{100} + \frac{54 \left(1 - 2 x\right)^{\frac{3}{2}}}{25} - \frac{3897 \sqrt{1 - 2 x}}{500} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} > \frac{5}{11} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} < \frac{5}{11} \end{cases}\right)}{125}"," ",0,"-27*(1 - 2*x)**(5/2)/100 + 54*(1 - 2*x)**(3/2)/25 - 3897*sqrt(1 - 2*x)/500 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) > 5/11), (-sqrt(55)*atanh(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) < 5/11))/125","A",0
2039,1,90,0,22.726094," ","integrate((2+3*x)**2/(3+5*x)/(1-2*x)**(1/2),x)","\frac{3 \left(1 - 2 x\right)^{\frac{3}{2}}}{10} - \frac{111 \sqrt{1 - 2 x}}{50} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} > \frac{5}{11} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} < \frac{5}{11} \end{cases}\right)}{25}"," ",0,"3*(1 - 2*x)**(3/2)/10 - 111*sqrt(1 - 2*x)/50 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) > 5/11), (-sqrt(55)*atanh(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) < 5/11))/25","A",0
2040,1,78,0,12.051948," ","integrate((2+3*x)/(3+5*x)/(1-2*x)**(1/2),x)","- \frac{3 \sqrt{1 - 2 x}}{5} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} > \frac{5}{11} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} < \frac{5}{11} \end{cases}\right)}{5}"," ",0,"-3*sqrt(1 - 2*x)/5 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) > 5/11), (-sqrt(55)*atanh(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) < 5/11))/5","A",0
2041,1,61,0,1.017937," ","integrate(1/(3+5*x)/(1-2*x)**(1/2),x)","\begin{cases} - \frac{2 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{55} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{2 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{55} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/55, 11/(10*Abs(x + 3/5)) > 1), (2*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/55, True))","A",0
2042,1,131,0,14.901521," ","integrate(1/(2+3*x)/(3+5*x)/(1-2*x)**(1/2),x)","- 6 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} > \frac{3}{7} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21}}{3 \sqrt{1 - 2 x}} \right)}}{21} & \text{for}\: \frac{1}{1 - 2 x} < \frac{3}{7} \end{cases}\right) + 10 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} > \frac{5}{11} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55}}{5 \sqrt{1 - 2 x}} \right)}}{55} & \text{for}\: \frac{1}{1 - 2 x} < \frac{5}{11} \end{cases}\right)"," ",0,"-6*Piecewise((-sqrt(21)*acoth(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) > 3/7), (-sqrt(21)*atanh(sqrt(21)/(3*sqrt(1 - 2*x)))/21, 1/(1 - 2*x) < 3/7)) + 10*Piecewise((-sqrt(55)*acoth(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) > 5/11), (-sqrt(55)*atanh(sqrt(55)/(5*sqrt(1 - 2*x)))/55, 1/(1 - 2*x) < 5/11))","A",0
2043,1,534,0,11.532915," ","integrate(1/(2+3*x)**2/(3+5*x)/(1-2*x)**(1/2),x)","\frac{2940 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} - \frac{132 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} - \frac{4884 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} - \frac{1470 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} + \frac{2442 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} + \frac{3430 \sqrt{55} \sqrt{x - \frac{1}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} - \frac{154 \sqrt{21} \sqrt{x - \frac{1}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} - \frac{5698 \sqrt{21} \sqrt{x - \frac{1}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} - \frac{1715 \sqrt{55} \pi \sqrt{x - \frac{1}{2}}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} + \frac{2849 \sqrt{21} \pi \sqrt{x - \frac{1}{2}}}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}} - \frac{462 \sqrt{2} \left(x - \frac{1}{2}\right)}{3234 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} + 3773 i \sqrt{x - \frac{1}{2}}}"," ",0,"2940*sqrt(55)*(x - 1/2)**(3/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) - 132*sqrt(21)*(x - 1/2)**(3/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) - 4884*sqrt(21)*(x - 1/2)**(3/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) - 1470*sqrt(55)*pi*(x - 1/2)**(3/2)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) + 2442*sqrt(21)*pi*(x - 1/2)**(3/2)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) + 3430*sqrt(55)*sqrt(x - 1/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) - 154*sqrt(21)*sqrt(x - 1/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) - 5698*sqrt(21)*sqrt(x - 1/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) - 1715*sqrt(55)*pi*sqrt(x - 1/2)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) + 2849*sqrt(21)*pi*sqrt(x - 1/2)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2)) - 462*sqrt(2)*(x - 1/2)/(3234*I*(x - 1/2)**(3/2) + 3773*I*sqrt(x - 1/2))","C",0
2044,-2,0,0,0.000000," ","integrate(1/(2+3*x)**3/(3+5*x)/(1-2*x)**(1/2),x)","\text{Exception raised: MellinTransformStripError}"," ",0,"Exception raised: MellinTransformStripError","F(-2)",0
2045,-1,0,0,0.000000," ","integrate(1/(2+3*x)**4/(3+5*x)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2046,-1,0,0,0.000000," ","integrate(1/(2+3*x)**5/(3+5*x)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2047,-1,0,0,0.000000," ","integrate((2+3*x)**6/(3+5*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2048,-1,0,0,0.000000," ","integrate((2+3*x)**5/(3+5*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2049,-1,0,0,0.000000," ","integrate((2+3*x)**4/(3+5*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2050,-1,0,0,0.000000," ","integrate((2+3*x)**3/(3+5*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2051,-1,0,0,0.000000," ","integrate((2+3*x)**2/(3+5*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2052,-1,0,0,0.000000," ","integrate((2+3*x)/(3+5*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2053,1,172,0,2.251016," ","integrate(1/(3+5*x)**2/(1-2*x)**(1/2),x)","\begin{cases} - \frac{2 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{605} + \frac{\sqrt{2}}{55 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{\sqrt{2}}{50 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{2 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{605} - \frac{\sqrt{2} i}{55 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{\sqrt{2} i}{50 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/605 + sqrt(2)/(55*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - sqrt(2)/(50*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), 11/(10*Abs(x + 3/5)) > 1), (2*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/605 - sqrt(2)*I/(55*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + sqrt(2)*I/(50*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), True))","A",0
2054,1,552,0,13.454799," ","integrate(1/(2+3*x)/(3+5*x)**2/(1-2*x)**(1/2),x)","- \frac{140 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} + \frac{4340 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} - \frac{7260 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} - \frac{2170 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} + \frac{3630 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} - \frac{154 \sqrt{55} \sqrt{x - \frac{1}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} + \frac{4774 \sqrt{55} \sqrt{x - \frac{1}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} - \frac{7986 \sqrt{21} \sqrt{x - \frac{1}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} - \frac{2387 \sqrt{55} \pi \sqrt{x - \frac{1}{2}}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} + \frac{3993 \sqrt{21} \pi \sqrt{x - \frac{1}{2}}}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}} - \frac{770 \sqrt{2} \left(x - \frac{1}{2}\right)}{- 8470 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}} - 9317 i \sqrt{x - \frac{1}{2}}}"," ",0,"-140*sqrt(55)*(x - 1/2)**(3/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) + 4340*sqrt(55)*(x - 1/2)**(3/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) - 7260*sqrt(21)*(x - 1/2)**(3/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) - 2170*sqrt(55)*pi*(x - 1/2)**(3/2)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) + 3630*sqrt(21)*pi*(x - 1/2)**(3/2)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) - 154*sqrt(55)*sqrt(x - 1/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) + 4774*sqrt(55)*sqrt(x - 1/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) - 7986*sqrt(21)*sqrt(x - 1/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) - 2387*sqrt(55)*pi*sqrt(x - 1/2)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) + 3993*sqrt(21)*pi*sqrt(x - 1/2)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2)) - 770*sqrt(2)*(x - 1/2)/(-8470*I*(x - 1/2)**(3/2) - 9317*I*sqrt(x - 1/2))","C",0
2055,1,988,0,19.896729," ","integrate(1/(2+3*x)**2/(3+5*x)**2/(1-2*x)**(1/2),x)","\frac{314160 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{356356 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{29400 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} - \frac{1881600 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{43560 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{3136320 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} - \frac{1568160 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{940800 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{66640 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} - \frac{4264960 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{98736 \sqrt{21} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{7108992 \sqrt{21} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} - \frac{3554496 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{2}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{2132480 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{2}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{37730 \sqrt{55} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} - \frac{2414720 \sqrt{55} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{55902 \sqrt{21} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{4024944 \sqrt{21} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} - \frac{2012472 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}} + \frac{1207360 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)}{- 456533 x - 355740 \left(x - \frac{1}{2}\right)^{3} - 806344 \left(x - \frac{1}{2}\right)^{2} + \frac{456533}{2}}"," ",0,"314160*sqrt(2)*I*(x - 1/2)**(5/2)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 356356*sqrt(2)*I*(x - 1/2)**(3/2)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 29400*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) - 1881600*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 43560*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 3136320*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) - 1568160*sqrt(21)*I*pi*(x - 1/2)**3/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 940800*sqrt(55)*I*pi*(x - 1/2)**3/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 66640*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) - 4264960*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 98736*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 7108992*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) - 3554496*sqrt(21)*I*pi*(x - 1/2)**2/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 2132480*sqrt(55)*I*pi*(x - 1/2)**2/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 37730*sqrt(55)*I*(x - 1/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) - 2414720*sqrt(55)*I*(x - 1/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 55902*sqrt(21)*I*(x - 1/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 4024944*sqrt(21)*I*(x - 1/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) - 2012472*sqrt(21)*I*pi*(x - 1/2)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2) + 1207360*sqrt(55)*I*pi*(x - 1/2)/(-456533*x - 355740*(x - 1/2)**3 - 806344*(x - 1/2)**2 + 456533/2)","C",0
2056,1,4043,0,27.336461," ","integrate(1/(2+3*x)**3/(3+5*x)**2/(1-2*x)**(1/2),x)","- \frac{222264000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{21559608000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{682149600 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{35932818240 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{10779804000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{17966409120 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1281722400 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{124327072800 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{3933729360 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{207212585184 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{62163536400 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{103606292592 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{2956111200 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{286742786400 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{9072589680 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{477906482592 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{143371393200 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{238953241296 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{3408459600 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{330620581200 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{10460890440 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{551036421936 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{165310290600 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{275518210968 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1964738300 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{190579615100 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{6029970870 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{317633913828 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{95289807550 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{158816956914 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{452948650 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{43936019050 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1390142985 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{73226980134 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{21968009525 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{36613490067 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{3577044240 \sqrt{2} \left(x - \frac{1}{2}\right)^{7}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{16574320224 \sqrt{2} \left(x - \frac{1}{2}\right)^{6}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{28795031496 \sqrt{2} \left(x - \frac{1}{2}\right)^{5}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{22230787656 \sqrt{2} \left(x - \frac{1}{2}\right)^{4}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{6435172205 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{- 537878880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} - 3101768208 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} - 7153789104 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 8248472232 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 4754666686 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 1096135733 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}"," ",0,"-222264000*sqrt(55)*(x - 1/2)**(15/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 21559608000*sqrt(55)*(x - 1/2)**(15/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 682149600*sqrt(21)*(x - 1/2)**(15/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 35932818240*sqrt(21)*(x - 1/2)**(15/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 10779804000*sqrt(55)*pi*(x - 1/2)**(15/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 17966409120*sqrt(21)*pi*(x - 1/2)**(15/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 1281722400*sqrt(55)*(x - 1/2)**(13/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 124327072800*sqrt(55)*(x - 1/2)**(13/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 3933729360*sqrt(21)*(x - 1/2)**(13/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 207212585184*sqrt(21)*(x - 1/2)**(13/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 62163536400*sqrt(55)*pi*(x - 1/2)**(13/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 103606292592*sqrt(21)*pi*(x - 1/2)**(13/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 2956111200*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 286742786400*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 9072589680*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 477906482592*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 143371393200*sqrt(55)*pi*(x - 1/2)**(11/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 238953241296*sqrt(21)*pi*(x - 1/2)**(11/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 3408459600*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 330620581200*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 10460890440*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 551036421936*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 165310290600*sqrt(55)*pi*(x - 1/2)**(9/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 275518210968*sqrt(21)*pi*(x - 1/2)**(9/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 1964738300*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 190579615100*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 6029970870*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 317633913828*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 95289807550*sqrt(55)*pi*(x - 1/2)**(7/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 158816956914*sqrt(21)*pi*(x - 1/2)**(7/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 452948650*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 43936019050*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 1390142985*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 73226980134*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 21968009525*sqrt(55)*pi*(x - 1/2)**(5/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) + 36613490067*sqrt(21)*pi*(x - 1/2)**(5/2)/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 3577044240*sqrt(2)*(x - 1/2)**7/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 16574320224*sqrt(2)*(x - 1/2)**6/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 28795031496*sqrt(2)*(x - 1/2)**5/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 22230787656*sqrt(2)*(x - 1/2)**4/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2)) - 6435172205*sqrt(2)*(x - 1/2)**3/(-537878880*I*(x - 1/2)**(15/2) - 3101768208*I*(x - 1/2)**(13/2) - 7153789104*I*(x - 1/2)**(11/2) - 8248472232*I*(x - 1/2)**(9/2) - 4754666686*I*(x - 1/2)**(7/2) - 1096135733*I*(x - 1/2)**(5/2))","C",0
2057,-1,0,0,0.000000," ","integrate(1/(2+3*x)**4/(3+5*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2058,-1,0,0,0.000000," ","integrate((2+3*x)**6/(3+5*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2059,-1,0,0,0.000000," ","integrate((2+3*x)**5/(3+5*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2060,-1,0,0,0.000000," ","integrate((2+3*x)**4/(3+5*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2061,-1,0,0,0.000000," ","integrate((2+3*x)**3/(3+5*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2062,-1,0,0,0.000000," ","integrate((2+3*x)**2/(3+5*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2063,-1,0,0,0.000000," ","integrate((2+3*x)/(3+5*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2064,1,231,0,3.057564," ","integrate(1/(3+5*x)**3/(1-2*x)**(1/2),x)","\begin{cases} - \frac{3 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{6655} + \frac{3 \sqrt{2}}{1210 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{\sqrt{2}}{1100 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} - \frac{\sqrt{2}}{500 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{3 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{6655} - \frac{3 \sqrt{2} i}{1210 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{\sqrt{2} i}{1100 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} + \frac{\sqrt{2} i}{500 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/6655 + 3*sqrt(2)/(1210*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - sqrt(2)/(1100*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) - sqrt(2)/(500*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), 11/(10*Abs(x + 3/5)) > 1), (3*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/6655 - 3*sqrt(2)*I/(1210*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + sqrt(2)*I/(1100*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) + sqrt(2)*I/(500*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), True))","A",0
2065,1,1953,0,15.831431," ","integrate(1/(2+3*x)/(3+5*x)**3/(1-2*x)**(1/2),x)","\frac{24255000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{79194500 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{86182250 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{31258535 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{4270000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{143780000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{239580000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{119790000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{71890000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{18788000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{632632000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{1054152000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{527076000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{316316000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{31000200 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{1043842800 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{1739350800 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{869675400 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{521921400 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{22733480 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{765484720 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{1275523920 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{637761960 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{382742360 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{6251707 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{210508298 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{350769078 \sqrt{21} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} - \frac{175384539 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{2}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}} + \frac{105254149 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{2}}{93170000 \left(x - \frac{1}{2}\right)^{6} + 409948000 \left(x - \frac{1}{2}\right)^{5} + 676414200 \left(x - \frac{1}{2}\right)^{4} + 496037080 \left(x - \frac{1}{2}\right)^{3} + 136410197 \left(x - \frac{1}{2}\right)^{2}}"," ",0,"24255000*sqrt(2)*I*(x - 1/2)**(11/2)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 79194500*sqrt(2)*I*(x - 1/2)**(9/2)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 86182250*sqrt(2)*I*(x - 1/2)**(7/2)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 31258535*sqrt(2)*I*(x - 1/2)**(5/2)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 4270000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 143780000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 239580000*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 119790000*sqrt(21)*I*pi*(x - 1/2)**6/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 71890000*sqrt(55)*I*pi*(x - 1/2)**6/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 18788000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 632632000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 1054152000*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 527076000*sqrt(21)*I*pi*(x - 1/2)**5/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 316316000*sqrt(55)*I*pi*(x - 1/2)**5/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 31000200*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 1043842800*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 1739350800*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 869675400*sqrt(21)*I*pi*(x - 1/2)**4/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 521921400*sqrt(55)*I*pi*(x - 1/2)**4/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 22733480*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 765484720*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 1275523920*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 637761960*sqrt(21)*I*pi*(x - 1/2)**3/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 382742360*sqrt(55)*I*pi*(x - 1/2)**3/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 6251707*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 210508298*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)*sqrt(x - 1/2)/11)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 350769078*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)*sqrt(x - 1/2)/7)/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) - 175384539*sqrt(21)*I*pi*(x - 1/2)**2/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2) + 105254149*sqrt(55)*I*pi*(x - 1/2)**2/(93170000*(x - 1/2)**6 + 409948000*(x - 1/2)**5 + 676414200*(x - 1/2)**4 + 496037080*(x - 1/2)**3 + 136410197*(x - 1/2)**2)","C",0
2066,1,3973,0,21.884468," ","integrate(1/(2+3*x)**2/(3+5*x)**3/(1-2*x)**(1/2),x)","- \frac{1866900000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{92286600000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1437480000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{153810360000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{46143300000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{76905180000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{10392410000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{513728740000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{8001972000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{856211004000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{256864370000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{428105502000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{23137114000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{1143738596000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{17815168800 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1906223061600 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{571869298000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{953111530800 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{25752018600 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{1273001360400 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{19828599120 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{2121660105840 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{636500680200 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{1060830052920 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{14329266490 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{708339645860 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{11033281908 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1180561164156 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{354169822930 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{590280582078 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{3188883005 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{157636279570 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{2455383546 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{262726039422 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{78818139785 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{131363019711 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{15460830000 \sqrt{2} \left(x - \frac{1}{2}\right)^{7}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{68545092000 \sqrt{2} \left(x - \frac{1}{2}\right)^{6}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{113941319800 \sqrt{2} \left(x - \frac{1}{2}\right)^{5}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{84165678520 \sqrt{2} \left(x - \frac{1}{2}\right)^{4}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{23310565663 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{3913140000 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 21783146000 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 48496848400 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53977853160 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 30035045194 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 6684099653 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}"," ",0,"-1866900000*sqrt(55)*(x - 1/2)**(15/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 92286600000*sqrt(55)*(x - 1/2)**(15/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 1437480000*sqrt(21)*(x - 1/2)**(15/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 153810360000*sqrt(21)*(x - 1/2)**(15/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 46143300000*sqrt(55)*pi*(x - 1/2)**(15/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 76905180000*sqrt(21)*pi*(x - 1/2)**(15/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 10392410000*sqrt(55)*(x - 1/2)**(13/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 513728740000*sqrt(55)*(x - 1/2)**(13/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 8001972000*sqrt(21)*(x - 1/2)**(13/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 856211004000*sqrt(21)*(x - 1/2)**(13/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 256864370000*sqrt(55)*pi*(x - 1/2)**(13/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 428105502000*sqrt(21)*pi*(x - 1/2)**(13/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 23137114000*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 1143738596000*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 17815168800*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 1906223061600*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 571869298000*sqrt(55)*pi*(x - 1/2)**(11/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 953111530800*sqrt(21)*pi*(x - 1/2)**(11/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 25752018600*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 1273001360400*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 19828599120*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 2121660105840*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 636500680200*sqrt(55)*pi*(x - 1/2)**(9/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 1060830052920*sqrt(21)*pi*(x - 1/2)**(9/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 14329266490*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 708339645860*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 11033281908*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 1180561164156*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 354169822930*sqrt(55)*pi*(x - 1/2)**(7/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 590280582078*sqrt(21)*pi*(x - 1/2)**(7/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 3188883005*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 157636279570*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 2455383546*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 262726039422*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 78818139785*sqrt(55)*pi*(x - 1/2)**(5/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) + 131363019711*sqrt(21)*pi*(x - 1/2)**(5/2)/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 15460830000*sqrt(2)*(x - 1/2)**7/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 68545092000*sqrt(2)*(x - 1/2)**6/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 113941319800*sqrt(2)*(x - 1/2)**5/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 84165678520*sqrt(2)*(x - 1/2)**4/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2)) - 23310565663*sqrt(2)*(x - 1/2)**3/(3913140000*I*(x - 1/2)**(15/2) + 21783146000*I*(x - 1/2)**(13/2) + 48496848400*I*(x - 1/2)**(11/2) + 53977853160*I*(x - 1/2)**(9/2) + 30035045194*I*(x - 1/2)**(7/2) + 6684099653*I*(x - 1/2)**(5/2))","C",0
2067,1,6346,0,29.619410," ","integrate(1/(2+3*x)**3/(3+5*x)**3/(1-2*x)**(1/2),x)","\frac{234926334720000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{23}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{1863787142448000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{21}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{6336048975379200 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{19}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{11964721362058080 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{13554148250345472 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{9211438082389928 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{3477318297300848 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{562495409544530 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{21448476000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{1409153760000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{33378285600000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{2348589323520000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{1174294661760000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{12}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{704576880000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{12}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{194466182400000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{12776327424000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{302629789440000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{21293876533248000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{10646938266624000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{11}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{6388163712000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{11}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{771287196960000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{50673169209600000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{1200283150176000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{84455272073779200 \sqrt{21} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{42227636036889600 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{10}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{25336584604800000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{10}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{1747818832704000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{114830791703040000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{2719969296422400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{191384630308270080 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{95692315154135040 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{9}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{57415395851520000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{9}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{2475158526013600 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{162616632693536000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{3851860998728160 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{271027689250044672 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{135513844625022336 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{8}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{81308316346768000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{8}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{2243034168636800 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{147366182685568000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{3490627263742080 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{245610275562279936 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{122805137781139968 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{73683091342784000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{1270267164104400 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{83455894512144000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{1976799665942640 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{139093141145954688 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{69546570572977344 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{41727947256072000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{411019581711200 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{27003773554912000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{639631878066720 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{45006283959969024 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{22503141979984512 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{13501886777456000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{58177404028975 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110}}{10 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{3822225300971000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{90536129799885 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42}}{6 \sqrt{x - \frac{1}{2}}} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{6370374751686792 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} - \frac{3185187375843396 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}} + \frac{1911112650485500 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{5916667680000 \left(x - \frac{1}{2}\right)^{12} + 53644453632000 \left(x - \frac{1}{2}\right)^{11} + 212763369772800 \left(x - \frac{1}{2}\right)^{10} + 482144428254720 \left(x - \frac{1}{2}\right)^{9} + 682784662823648 \left(x - \frac{1}{2}\right)^{8} + 618752016260224 \left(x - \frac{1}{2}\right)^{7} + 350409449828592 \left(x - \frac{1}{2}\right)^{6} + 113381774768416 \left(x - \frac{1}{2}\right)^{5} + 16048523266853 \left(x - \frac{1}{2}\right)^{4}}"," ",0,"234926334720000*sqrt(2)*I*(x - 1/2)**(23/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 1863787142448000*sqrt(2)*I*(x - 1/2)**(21/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 6336048975379200*sqrt(2)*I*(x - 1/2)**(19/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 11964721362058080*sqrt(2)*I*(x - 1/2)**(17/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 13554148250345472*sqrt(2)*I*(x - 1/2)**(15/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 9211438082389928*sqrt(2)*I*(x - 1/2)**(13/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 3477318297300848*sqrt(2)*I*(x - 1/2)**(11/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 562495409544530*sqrt(2)*I*(x - 1/2)**(9/2)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 21448476000000*sqrt(55)*I*(x - 1/2)**12*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 1409153760000000*sqrt(55)*I*(x - 1/2)**12*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 33378285600000*sqrt(21)*I*(x - 1/2)**12*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 2348589323520000*sqrt(21)*I*(x - 1/2)**12*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 1174294661760000*sqrt(21)*I*pi*(x - 1/2)**12/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 704576880000000*sqrt(55)*I*pi*(x - 1/2)**12/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 194466182400000*sqrt(55)*I*(x - 1/2)**11*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 12776327424000000*sqrt(55)*I*(x - 1/2)**11*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 302629789440000*sqrt(21)*I*(x - 1/2)**11*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 21293876533248000*sqrt(21)*I*(x - 1/2)**11*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 10646938266624000*sqrt(21)*I*pi*(x - 1/2)**11/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 6388163712000000*sqrt(55)*I*pi*(x - 1/2)**11/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 771287196960000*sqrt(55)*I*(x - 1/2)**10*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 50673169209600000*sqrt(55)*I*(x - 1/2)**10*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 1200283150176000*sqrt(21)*I*(x - 1/2)**10*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 84455272073779200*sqrt(21)*I*(x - 1/2)**10*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 42227636036889600*sqrt(21)*I*pi*(x - 1/2)**10/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 25336584604800000*sqrt(55)*I*pi*(x - 1/2)**10/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 1747818832704000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 114830791703040000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 2719969296422400*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 191384630308270080*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 95692315154135040*sqrt(21)*I*pi*(x - 1/2)**9/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 57415395851520000*sqrt(55)*I*pi*(x - 1/2)**9/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 2475158526013600*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 162616632693536000*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 3851860998728160*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 271027689250044672*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 135513844625022336*sqrt(21)*I*pi*(x - 1/2)**8/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 81308316346768000*sqrt(55)*I*pi*(x - 1/2)**8/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 2243034168636800*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 147366182685568000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 3490627263742080*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 245610275562279936*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 122805137781139968*sqrt(21)*I*pi*(x - 1/2)**7/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 73683091342784000*sqrt(55)*I*pi*(x - 1/2)**7/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 1270267164104400*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 83455894512144000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 1976799665942640*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 139093141145954688*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 69546570572977344*sqrt(21)*I*pi*(x - 1/2)**6/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 41727947256072000*sqrt(55)*I*pi*(x - 1/2)**6/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 411019581711200*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 27003773554912000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 639631878066720*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 45006283959969024*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 22503141979984512*sqrt(21)*I*pi*(x - 1/2)**5/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 13501886777456000*sqrt(55)*I*pi*(x - 1/2)**5/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 58177404028975*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)/(10*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 3822225300971000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 90536129799885*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)/(6*sqrt(x - 1/2)))/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 6370374751686792*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) - 3185187375843396*sqrt(21)*I*pi*(x - 1/2)**4/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4) + 1911112650485500*sqrt(55)*I*pi*(x - 1/2)**4/(5916667680000*(x - 1/2)**12 + 53644453632000*(x - 1/2)**11 + 212763369772800*(x - 1/2)**10 + 482144428254720*(x - 1/2)**9 + 682784662823648*(x - 1/2)**8 + 618752016260224*(x - 1/2)**7 + 350409449828592*(x - 1/2)**6 + 113381774768416*(x - 1/2)**5 + 16048523266853*(x - 1/2)**4)","C",0
2068,-1,0,0,0.000000," ","integrate(1/(2+3*x)**4/(3+5*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2069,1,105,0,66.052684," ","integrate((2+3*x)**7*(3+5*x)/(1-2*x)**(3/2),x)","- \frac{729 \left(1 - 2 x\right)^{\frac{15}{2}}}{256} + \frac{101331 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{821583 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} + \frac{422919 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} - \frac{787185 \left(1 - 2 x\right)^{\frac{7}{2}}}{64} + \frac{4084101 \left(1 - 2 x\right)^{\frac{5}{2}}}{128} - \frac{7882483 \left(1 - 2 x\right)^{\frac{3}{2}}}{128} + \frac{15647317 \sqrt{1 - 2 x}}{128} + \frac{9058973}{256 \sqrt{1 - 2 x}}"," ",0,"-729*(1 - 2*x)**(15/2)/256 + 101331*(1 - 2*x)**(13/2)/1664 - 821583*(1 - 2*x)**(11/2)/1408 + 422919*(1 - 2*x)**(9/2)/128 - 787185*(1 - 2*x)**(7/2)/64 + 4084101*(1 - 2*x)**(5/2)/128 - 7882483*(1 - 2*x)**(3/2)/128 + 15647317*sqrt(1 - 2*x)/128 + 9058973/(256*sqrt(1 - 2*x))","A",0
2070,1,94,0,52.636901," ","integrate((2+3*x)**6*(3+5*x)/(1-2*x)**(3/2),x)","\frac{3645 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{59049 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} + \frac{45549 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} - \frac{225855 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} + \frac{731619 \left(1 - 2 x\right)^{\frac{5}{2}}}{128} - \frac{1692705 \left(1 - 2 x\right)^{\frac{3}{2}}}{128} + \frac{3916031 \sqrt{1 - 2 x}}{128} + \frac{1294139}{128 \sqrt{1 - 2 x}}"," ",0,"3645*(1 - 2*x)**(13/2)/1664 - 59049*(1 - 2*x)**(11/2)/1408 + 45549*(1 - 2*x)**(9/2)/128 - 225855*(1 - 2*x)**(7/2)/128 + 731619*(1 - 2*x)**(5/2)/128 - 1692705*(1 - 2*x)**(3/2)/128 + 3916031*sqrt(1 - 2*x)/128 + 1294139/(128*sqrt(1 - 2*x))","A",0
2071,1,82,0,42.536912," ","integrate((2+3*x)**5*(3+5*x)/(1-2*x)**(3/2),x)","- \frac{1215 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{117 \left(1 - 2 x\right)^{\frac{9}{2}}}{4} - \frac{13905 \left(1 - 2 x\right)^{\frac{7}{2}}}{64} + \frac{7497 \left(1 - 2 x\right)^{\frac{5}{2}}}{8} - \frac{173215 \left(1 - 2 x\right)^{\frac{3}{2}}}{64} + \frac{60025 \sqrt{1 - 2 x}}{8} + \frac{184877}{64 \sqrt{1 - 2 x}}"," ",0,"-1215*(1 - 2*x)**(11/2)/704 + 117*(1 - 2*x)**(9/2)/4 - 13905*(1 - 2*x)**(7/2)/64 + 7497*(1 - 2*x)**(5/2)/8 - 173215*(1 - 2*x)**(3/2)/64 + 60025*sqrt(1 - 2*x)/8 + 184877/(64*sqrt(1 - 2*x))","A",0
2072,1,70,0,32.805046," ","integrate((2+3*x)**4*(3+5*x)/(1-2*x)**(3/2),x)","\frac{45 \left(1 - 2 x\right)^{\frac{9}{2}}}{32} - \frac{4671 \left(1 - 2 x\right)^{\frac{7}{2}}}{224} + \frac{10773 \left(1 - 2 x\right)^{\frac{5}{2}}}{80} - \frac{8281 \left(1 - 2 x\right)^{\frac{3}{2}}}{16} + \frac{57281 \sqrt{1 - 2 x}}{32} + \frac{26411}{32 \sqrt{1 - 2 x}}"," ",0,"45*(1 - 2*x)**(9/2)/32 - 4671*(1 - 2*x)**(7/2)/224 + 10773*(1 - 2*x)**(5/2)/80 - 8281*(1 - 2*x)**(3/2)/16 + 57281*sqrt(1 - 2*x)/32 + 26411/(32*sqrt(1 - 2*x))","A",0
2073,1,58,0,24.800119," ","integrate((2+3*x)**3*(3+5*x)/(1-2*x)**(3/2),x)","- \frac{135 \left(1 - 2 x\right)^{\frac{7}{2}}}{112} + \frac{621 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} - \frac{357 \left(1 - 2 x\right)^{\frac{3}{2}}}{4} + \frac{3283 \sqrt{1 - 2 x}}{8} + \frac{3773}{16 \sqrt{1 - 2 x}}"," ",0,"-135*(1 - 2*x)**(7/2)/112 + 621*(1 - 2*x)**(5/2)/40 - 357*(1 - 2*x)**(3/2)/4 + 3283*sqrt(1 - 2*x)/8 + 3773/(16*sqrt(1 - 2*x))","A",0
2074,1,46,0,17.685134," ","integrate((2+3*x)**2*(3+5*x)/(1-2*x)**(3/2),x)","\frac{9 \left(1 - 2 x\right)^{\frac{5}{2}}}{8} - \frac{103 \left(1 - 2 x\right)^{\frac{3}{2}}}{8} + \frac{707 \sqrt{1 - 2 x}}{8} + \frac{539}{8 \sqrt{1 - 2 x}}"," ",0,"9*(1 - 2*x)**(5/2)/8 - 103*(1 - 2*x)**(3/2)/8 + 707*sqrt(1 - 2*x)/8 + 539/(8*sqrt(1 - 2*x))","A",0
2075,1,32,0,11.632785," ","integrate((2+3*x)*(3+5*x)/(1-2*x)**(3/2),x)","- \frac{5 \left(1 - 2 x\right)^{\frac{3}{2}}}{4} + 17 \sqrt{1 - 2 x} + \frac{77}{4 \sqrt{1 - 2 x}}"," ",0,"-5*(1 - 2*x)**(3/2)/4 + 17*sqrt(1 - 2*x) + 77/(4*sqrt(1 - 2*x))","A",0
2076,1,20,0,0.354552," ","integrate((3+5*x)/(1-2*x)**(3/2),x)","- \frac{5 x}{\sqrt{1 - 2 x}} + \frac{8}{\sqrt{1 - 2 x}}"," ",0,"-5*x/sqrt(1 - 2*x) + 8/sqrt(1 - 2*x)","A",0
2077,1,78,0,24.974729," ","integrate((3+5*x)/(1-2*x)**(3/2)/(2+3*x),x)","- \frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{7} + \frac{11}{7 \sqrt{1 - 2 x}}"," ",0,"-2*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/7 + 11/(7*sqrt(1 - 2*x))","A",0
2078,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(3/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2079,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2080,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2081,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2082,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(3/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2083,1,94,0,52.430505," ","integrate((2+3*x)**5*(3+5*x)**2/(1-2*x)**(3/2),x)","\frac{6075 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{97605 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} + \frac{74667 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} - \frac{367155 \left(1 - 2 x\right)^{\frac{7}{2}}}{128} + \frac{1179381 \left(1 - 2 x\right)^{\frac{5}{2}}}{128} - \frac{8117095 \left(1 - 2 x\right)^{\frac{3}{2}}}{384} + \frac{6206585 \sqrt{1 - 2 x}}{128} + \frac{2033647}{128 \sqrt{1 - 2 x}}"," ",0,"6075*(1 - 2*x)**(13/2)/1664 - 97605*(1 - 2*x)**(11/2)/1408 + 74667*(1 - 2*x)**(9/2)/128 - 367155*(1 - 2*x)**(7/2)/128 + 1179381*(1 - 2*x)**(5/2)/128 - 8117095*(1 - 2*x)**(3/2)/384 + 6206585*sqrt(1 - 2*x)/128 + 2033647/(128*sqrt(1 - 2*x))","A",0
2084,1,82,0,41.764698," ","integrate((2+3*x)**4*(3+5*x)**2/(1-2*x)**(3/2),x)","- \frac{2025 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{1545 \left(1 - 2 x\right)^{\frac{9}{2}}}{32} - \frac{159111 \left(1 - 2 x\right)^{\frac{7}{2}}}{448} + \frac{121359 \left(1 - 2 x\right)^{\frac{5}{2}}}{80} - \frac{832951 \left(1 - 2 x\right)^{\frac{3}{2}}}{192} + \frac{381073 \sqrt{1 - 2 x}}{32} + \frac{290521}{64 \sqrt{1 - 2 x}}"," ",0,"-2025*(1 - 2*x)**(11/2)/704 + 1545*(1 - 2*x)**(9/2)/32 - 159111*(1 - 2*x)**(7/2)/448 + 121359*(1 - 2*x)**(5/2)/80 - 832951*(1 - 2*x)**(3/2)/192 + 381073*sqrt(1 - 2*x)/32 + 290521/(64*sqrt(1 - 2*x))","A",0
2085,1,70,0,32.848470," ","integrate((2+3*x)**3*(3+5*x)**2/(1-2*x)**(3/2),x)","\frac{75 \left(1 - 2 x\right)^{\frac{9}{2}}}{32} - \frac{7695 \left(1 - 2 x\right)^{\frac{7}{2}}}{224} + \frac{17541 \left(1 - 2 x\right)^{\frac{5}{2}}}{80} - \frac{39977 \left(1 - 2 x\right)^{\frac{3}{2}}}{48} + \frac{91091 \sqrt{1 - 2 x}}{32} + \frac{41503}{32 \sqrt{1 - 2 x}}"," ",0,"75*(1 - 2*x)**(9/2)/32 - 7695*(1 - 2*x)**(7/2)/224 + 17541*(1 - 2*x)**(5/2)/80 - 39977*(1 - 2*x)**(3/2)/48 + 91091*sqrt(1 - 2*x)/32 + 41503/(32*sqrt(1 - 2*x))","A",0
2086,1,58,0,24.604508," ","integrate((2+3*x)**2*(3+5*x)**2/(1-2*x)**(3/2),x)","- \frac{225 \left(1 - 2 x\right)^{\frac{7}{2}}}{112} + \frac{51 \left(1 - 2 x\right)^{\frac{5}{2}}}{2} - \frac{3467 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} + \frac{1309 \sqrt{1 - 2 x}}{2} + \frac{5929}{16 \sqrt{1 - 2 x}}"," ",0,"-225*(1 - 2*x)**(7/2)/112 + 51*(1 - 2*x)**(5/2)/2 - 3467*(1 - 2*x)**(3/2)/24 + 1309*sqrt(1 - 2*x)/2 + 5929/(16*sqrt(1 - 2*x))","A",0
2087,1,46,0,17.663145," ","integrate((2+3*x)*(3+5*x)**2/(1-2*x)**(3/2),x)","\frac{15 \left(1 - 2 x\right)^{\frac{5}{2}}}{8} - \frac{505 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} + \frac{1133 \sqrt{1 - 2 x}}{8} + \frac{847}{8 \sqrt{1 - 2 x}}"," ",0,"15*(1 - 2*x)**(5/2)/8 - 505*(1 - 2*x)**(3/2)/24 + 1133*sqrt(1 - 2*x)/8 + 847/(8*sqrt(1 - 2*x))","A",0
2088,1,352,0,1.397307," ","integrate((3+5*x)**2/(1-2*x)**(3/2),x)","\begin{cases} \frac{25 \sqrt{55} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} + \frac{110 \sqrt{55} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} - \frac{2420 \sqrt{5} \left(x + \frac{3}{5}\right)}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} - \frac{242 \sqrt{55} i \sqrt{10 x - 5}}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} + \frac{2662 \sqrt{5}}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{25 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} + \frac{110 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} - \frac{242 \sqrt{55} \sqrt{5 - 10 x}}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} - \frac{2420 \sqrt{5} \left(x + \frac{3}{5}\right)}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} + \frac{2662 \sqrt{5}}{30 \sqrt{11} \left(x + \frac{3}{5}\right) - 33 \sqrt{11}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((25*sqrt(55)*I*(x + 3/5)**2*sqrt(10*x - 5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) + 110*sqrt(55)*I*(x + 3/5)*sqrt(10*x - 5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) - 2420*sqrt(5)*(x + 3/5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) - 242*sqrt(55)*I*sqrt(10*x - 5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) + 2662*sqrt(5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)), 10*Abs(x + 3/5)/11 > 1), (25*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)**2/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) + 110*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) - 242*sqrt(55)*sqrt(5 - 10*x)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) - 2420*sqrt(5)*(x + 3/5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)) + 2662*sqrt(5)/(30*sqrt(11)*(x + 3/5) - 33*sqrt(11)), True))","B",0
2089,1,90,0,38.904189," ","integrate((3+5*x)**2/(1-2*x)**(3/2)/(2+3*x),x)","\frac{25 \sqrt{1 - 2 x}}{6} + \frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{21} + \frac{121}{14 \sqrt{1 - 2 x}}"," ",0,"25*sqrt(1 - 2*x)/6 + 2*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/21 + 121/(14*sqrt(1 - 2*x))","A",0
2090,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(3/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2091,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2092,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2093,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2094,1,94,0,52.615833," ","integrate((2+3*x)**4*(3+5*x)**3/(1-2*x)**(3/2),x)","\frac{10125 \left(1 - 2 x\right)^{\frac{13}{2}}}{1664} - \frac{161325 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} + \frac{122385 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} - \frac{4177401 \left(1 - 2 x\right)^{\frac{7}{2}}}{896} + \frac{9504551 \left(1 - 2 x\right)^{\frac{5}{2}}}{640} - \frac{4324397 \left(1 - 2 x\right)^{\frac{3}{2}}}{128} + \frac{9836211 \sqrt{1 - 2 x}}{128} + \frac{3195731}{128 \sqrt{1 - 2 x}}"," ",0,"10125*(1 - 2*x)**(13/2)/1664 - 161325*(1 - 2*x)**(11/2)/1408 + 122385*(1 - 2*x)**(9/2)/128 - 4177401*(1 - 2*x)**(7/2)/896 + 9504551*(1 - 2*x)**(5/2)/640 - 4324397*(1 - 2*x)**(3/2)/128 + 9836211*sqrt(1 - 2*x)/128 + 3195731/(128*sqrt(1 - 2*x))","A",0
2095,1,82,0,42.295364," ","integrate((2+3*x)**3*(3+5*x)**3/(1-2*x)**(3/2),x)","- \frac{3375 \left(1 - 2 x\right)^{\frac{11}{2}}}{704} + \frac{1275 \left(1 - 2 x\right)^{\frac{9}{2}}}{16} - \frac{260055 \left(1 - 2 x\right)^{\frac{7}{2}}}{448} + \frac{98209 \left(1 - 2 x\right)^{\frac{5}{2}}}{40} - \frac{444983 \left(1 - 2 x\right)^{\frac{3}{2}}}{64} + \frac{302379 \sqrt{1 - 2 x}}{16} + \frac{456533}{64 \sqrt{1 - 2 x}}"," ",0,"-3375*(1 - 2*x)**(11/2)/704 + 1275*(1 - 2*x)**(9/2)/16 - 260055*(1 - 2*x)**(7/2)/448 + 98209*(1 - 2*x)**(5/2)/40 - 444983*(1 - 2*x)**(3/2)/64 + 302379*sqrt(1 - 2*x)/16 + 456533/(64*sqrt(1 - 2*x))","A",0
2096,1,70,0,32.657377," ","integrate((2+3*x)**2*(3+5*x)**3/(1-2*x)**(3/2),x)","\frac{125 \left(1 - 2 x\right)^{\frac{9}{2}}}{32} - \frac{12675 \left(1 - 2 x\right)^{\frac{7}{2}}}{224} + \frac{5711 \left(1 - 2 x\right)^{\frac{5}{2}}}{16} - \frac{21439 \left(1 - 2 x\right)^{\frac{3}{2}}}{16} + \frac{144837 \sqrt{1 - 2 x}}{32} + \frac{65219}{32 \sqrt{1 - 2 x}}"," ",0,"125*(1 - 2*x)**(9/2)/32 - 12675*(1 - 2*x)**(7/2)/224 + 5711*(1 - 2*x)**(5/2)/16 - 21439*(1 - 2*x)**(3/2)/16 + 144837*sqrt(1 - 2*x)/32 + 65219/(32*sqrt(1 - 2*x))","A",0
2097,1,58,0,24.386236," ","integrate((2+3*x)*(3+5*x)**3/(1-2*x)**(3/2),x)","- \frac{375 \left(1 - 2 x\right)^{\frac{7}{2}}}{112} + \frac{335 \left(1 - 2 x\right)^{\frac{5}{2}}}{8} - \frac{935 \left(1 - 2 x\right)^{\frac{3}{2}}}{4} + \frac{8349 \sqrt{1 - 2 x}}{8} + \frac{9317}{16 \sqrt{1 - 2 x}}"," ",0,"-375*(1 - 2*x)**(7/2)/112 + 335*(1 - 2*x)**(5/2)/8 - 935*(1 - 2*x)**(3/2)/4 + 8349*sqrt(1 - 2*x)/8 + 9317/(16*sqrt(1 - 2*x))","A",0
2098,1,435,0,2.150698," ","integrate((3+5*x)**3/(1-2*x)**(3/2),x)","\begin{cases} \frac{125 \sqrt{55} i \left(x + \frac{3}{5}\right)^{3} \sqrt{10 x - 5}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} + \frac{275 \sqrt{55} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} + \frac{1210 \sqrt{55} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} - \frac{26620 \sqrt{5} \left(x + \frac{3}{5}\right)}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} - \frac{2662 \sqrt{55} i \sqrt{10 x - 5}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} + \frac{29282 \sqrt{5}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{125 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{3}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} + \frac{275 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} + \frac{1210 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} - \frac{2662 \sqrt{55} \sqrt{5 - 10 x}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} - \frac{26620 \sqrt{5} \left(x + \frac{3}{5}\right)}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} + \frac{29282 \sqrt{5}}{50 \sqrt{11} \left(x + \frac{3}{5}\right) - 55 \sqrt{11}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((125*sqrt(55)*I*(x + 3/5)**3*sqrt(10*x - 5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) + 275*sqrt(55)*I*(x + 3/5)**2*sqrt(10*x - 5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) + 1210*sqrt(55)*I*(x + 3/5)*sqrt(10*x - 5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) - 26620*sqrt(5)*(x + 3/5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) - 2662*sqrt(55)*I*sqrt(10*x - 5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) + 29282*sqrt(5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)), 10*Abs(x + 3/5)/11 > 1), (125*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)**3/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) + 275*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)**2/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) + 1210*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) - 2662*sqrt(55)*sqrt(5 - 10*x)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) - 26620*sqrt(5)*(x + 3/5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)) + 29282*sqrt(5)/(50*sqrt(11)*(x + 3/5) - 55*sqrt(11)), True))","B",0
2099,1,102,0,59.859425," ","integrate((3+5*x)**3/(1-2*x)**(3/2)/(2+3*x),x)","- \frac{125 \left(1 - 2 x\right)^{\frac{3}{2}}}{36} + \frac{400 \sqrt{1 - 2 x}}{9} - \frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{63} + \frac{1331}{28 \sqrt{1 - 2 x}}"," ",0,"-125*(1 - 2*x)**(3/2)/36 + 400*sqrt(1 - 2*x)/9 - 2*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/63 + 1331/(28*sqrt(1 - 2*x))","A",0
2100,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(3/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2101,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2102,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2103,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2104,1,138,0,171.932063," ","integrate((2+3*x)**6/(1-2*x)**(3/2)/(3+5*x),x)","\frac{81 \left(1 - 2 x\right)^{\frac{9}{2}}}{160} - \frac{43011 \left(1 - 2 x\right)^{\frac{7}{2}}}{5600} + \frac{507627 \left(1 - 2 x\right)^{\frac{5}{2}}}{10000} - \frac{1997451 \left(1 - 2 x\right)^{\frac{3}{2}}}{10000} + \frac{70752609 \sqrt{1 - 2 x}}{100000} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{34375} + \frac{117649}{352 \sqrt{1 - 2 x}}"," ",0,"81*(1 - 2*x)**(9/2)/160 - 43011*(1 - 2*x)**(7/2)/5600 + 507627*(1 - 2*x)**(5/2)/10000 - 1997451*(1 - 2*x)**(3/2)/10000 + 70752609*sqrt(1 - 2*x)/100000 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/34375 + 117649/(352*sqrt(1 - 2*x))","A",0
2105,1,126,0,126.284612," ","integrate((2+3*x)**5/(1-2*x)**(3/2)/(3+5*x),x)","- \frac{243 \left(1 - 2 x\right)^{\frac{7}{2}}}{560} + \frac{5751 \left(1 - 2 x\right)^{\frac{5}{2}}}{1000} - \frac{17019 \left(1 - 2 x\right)^{\frac{3}{2}}}{500} + \frac{806121 \sqrt{1 - 2 x}}{5000} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{6875} + \frac{16807}{176 \sqrt{1 - 2 x}}"," ",0,"-243*(1 - 2*x)**(7/2)/560 + 5751*(1 - 2*x)**(5/2)/1000 - 17019*(1 - 2*x)**(3/2)/500 + 806121*sqrt(1 - 2*x)/5000 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/6875 + 16807/(176*sqrt(1 - 2*x))","A",0
2106,1,114,0,90.303206," ","integrate((2+3*x)**4/(1-2*x)**(3/2)/(3+5*x),x)","\frac{81 \left(1 - 2 x\right)^{\frac{5}{2}}}{200} - \frac{963 \left(1 - 2 x\right)^{\frac{3}{2}}}{200} + \frac{34371 \sqrt{1 - 2 x}}{1000} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{1375} + \frac{2401}{88 \sqrt{1 - 2 x}}"," ",0,"81*(1 - 2*x)**(5/2)/200 - 963*(1 - 2*x)**(3/2)/200 + 34371*sqrt(1 - 2*x)/1000 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/1375 + 2401/(88*sqrt(1 - 2*x))","A",0
2107,1,102,0,61.996838," ","integrate((2+3*x)**3/(1-2*x)**(3/2)/(3+5*x),x)","- \frac{9 \left(1 - 2 x\right)^{\frac{3}{2}}}{20} + \frac{162 \sqrt{1 - 2 x}}{25} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{275} + \frac{343}{44 \sqrt{1 - 2 x}}"," ",0,"-9*(1 - 2*x)**(3/2)/20 + 162*sqrt(1 - 2*x)/25 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/275 + 343/(44*sqrt(1 - 2*x))","A",0
2108,1,90,0,41.857579," ","integrate((2+3*x)**2/(1-2*x)**(3/2)/(3+5*x),x)","\frac{9 \sqrt{1 - 2 x}}{10} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{55} + \frac{49}{22 \sqrt{1 - 2 x}}"," ",0,"9*sqrt(1 - 2*x)/10 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/55 + 49/(22*sqrt(1 - 2*x))","A",0
2109,1,78,0,25.926777," ","integrate((2+3*x)/(1-2*x)**(3/2)/(3+5*x),x)","\frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{11} + \frac{7}{11 \sqrt{1 - 2 x}}"," ",0,"2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/11 + 7/(11*sqrt(1 - 2*x))","A",0
2110,1,830,0,1.863966," ","integrate(1/(1-2*x)**(3/2)/(3+5*x),x)","\begin{cases} \frac{20 \sqrt{5} i \left(x + \frac{3}{5}\right) \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{10 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(110 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{10 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(11 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{20 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(2 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{10 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(10 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{20 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(22 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{2 \sqrt{55} i \sqrt{10 x - 5}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{22 \sqrt{5} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{22 \sqrt{5} \log{\left(22 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{11 \sqrt{5} \log{\left(10 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{22 \sqrt{5} \log{\left(2 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{11 \sqrt{5} \log{\left(11 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{11 \sqrt{5} \log{\left(110 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{2 \sqrt{55} \sqrt{5 - 10 x}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{10 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(x + \frac{3}{5} \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{20 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{10 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(11 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{10 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(10 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{10 \sqrt{5} i \pi \left(x + \frac{3}{5}\right)}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{11 \sqrt{5} \log{\left(x + \frac{3}{5} \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{22 \sqrt{5} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{11 \sqrt{5} \log{\left(10 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} + \frac{11 \sqrt{5} \log{\left(11 \right)}}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} - \frac{11 \sqrt{5} i \pi}{110 \sqrt{11} \left(x + \frac{3}{5}\right) - 121 \sqrt{11}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((20*sqrt(5)*I*(x + 3/5)*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 10*sqrt(5)*(x + 3/5)*log(110)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 10*sqrt(5)*(x + 3/5)*log(11)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 20*sqrt(5)*(x + 3/5)*log(2)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 10*sqrt(5)*(x + 3/5)*log(10)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 20*sqrt(5)*(x + 3/5)*log(22)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 2*sqrt(55)*I*sqrt(10*x - 5)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 22*sqrt(5)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 22*sqrt(5)*log(22)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 11*sqrt(5)*log(10)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 22*sqrt(5)*log(2)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 11*sqrt(5)*log(11)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 11*sqrt(5)*log(110)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)), 10*Abs(x + 3/5)/11 > 1), (-2*sqrt(55)*sqrt(5 - 10*x)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 10*sqrt(5)*(x + 3/5)*log(x + 3/5)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 20*sqrt(5)*(x + 3/5)*log(sqrt(5/11 - 10*x/11) + 1)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 10*sqrt(5)*(x + 3/5)*log(11)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 10*sqrt(5)*(x + 3/5)*log(10)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 10*sqrt(5)*I*pi*(x + 3/5)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 11*sqrt(5)*log(x + 3/5)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 22*sqrt(5)*log(sqrt(5/11 - 10*x/11) + 1)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 11*sqrt(5)*log(10)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) + 11*sqrt(5)*log(11)/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)) - 11*sqrt(5)*I*pi/(110*sqrt(11)*(x + 3/5) - 121*sqrt(11)), True))","C",0
2111,1,146,0,19.809625," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)/(3+5*x),x)","- \frac{18 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{7} + \frac{50 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{11} + \frac{4}{77 \sqrt{1 - 2 x}}"," ",0,"-18*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/7 + 50*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/11 + 4/(77*sqrt(1 - 2*x))","A",0
2112,1,376,0,12.016024," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**2/(3+5*x),x)","- \frac{13398 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} + \frac{2156 \sqrt{2} i \sqrt{x - \frac{1}{2}}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} + \frac{102900 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} - \frac{165528 \sqrt{21} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} - \frac{51450 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{2}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} + \frac{82764 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{2}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} + \frac{120050 \sqrt{55} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} - \frac{193116 \sqrt{21} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} - \frac{60025 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}} + \frac{96558 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)}{- 290521 x - 249018 \left(x - \frac{1}{2}\right)^{2} + \frac{290521}{2}}"," ",0,"-13398*sqrt(2)*I*(x - 1/2)**(3/2)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) + 2156*sqrt(2)*I*sqrt(x - 1/2)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) + 102900*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) - 165528*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) - 51450*sqrt(55)*I*pi*(x - 1/2)**2/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) + 82764*sqrt(21)*I*pi*(x - 1/2)**2/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) + 120050*sqrt(55)*I*(x - 1/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) - 193116*sqrt(21)*I*(x - 1/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) - 60025*sqrt(55)*I*pi*(x - 1/2)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2) + 96558*sqrt(21)*I*pi*(x - 1/2)/(-290521*x - 249018*(x - 1/2)**2 + 290521/2)","C",0
2113,-2,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**3/(3+5*x),x)","\text{Exception raised: MellinTransformStripError}"," ",0,"Exception raised: MellinTransformStripError","F(-2)",0
2114,1,6412,0,27.179358," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**4/(3+5*x),x)","\frac{29774452055040 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{23}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{313609484643840 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{21}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{1468099054743552 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{19}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{4009033876700160 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{7037799689644416 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{8236367148639168 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{6425771604658560 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{3222450338494464 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{942422173238700 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{122356413906342 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{49715643824 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{181474110720000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{293680588861440 \sqrt{21} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{146840294430720 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{12}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{90737055360000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{12}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{2117197958400000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{3426273536716800 \sqrt{21} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{1713136768358400 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{11}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{1058598979200000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{11}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{11115289281600000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{17987936067763200 \sqrt{21} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{8993968033881600 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{10}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{5557644640800000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{10}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{34580899987200000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{55962467766374400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{27981233883187200 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{9}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{17290449993600000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{9}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{70602670807200000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{114256705023014400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{57128352511507200 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{8}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{35301335403600000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{8}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{98843739130080000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{159959387032220160 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{79979693516110080 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - 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\frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} - \frac{685982667939030 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{2}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}} + \frac{423889420530625 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{2}}{17566693917696 \left(x - \frac{1}{2}\right)^{12} + 204944762373120 \left(x - \frac{1}{2}\right)^{11} + 1075960002458880 \left(x - \frac{1}{2}\right)^{10} + 3347431118760960 \left(x - \frac{1}{2}\right)^{9} + 6834338534136960 \left(x - \frac{1}{2}\right)^{8} + 9568073947791744 \left(x - \frac{1}{2}\right)^{7} + 9302294115908640 \left(x - \frac{1}{2}\right)^{6} + 6201529410605760 \left(x - \frac{1}{2}\right)^{5} + 2713169117140020 \left(x - \frac{1}{2}\right)^{4} + 703414215554820 \left(x - \frac{1}{2}\right)^{3} + 82064991814729 \left(x - \frac{1}{2}\right)^{2}}"," ",0,"29774452055040*sqrt(2)*I*(x - 1/2)**(23/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 313609484643840*sqrt(2)*I*(x - 1/2)**(21/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 1468099054743552*sqrt(2)*I*(x - 1/2)**(19/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 4009033876700160*sqrt(2)*I*(x - 1/2)**(17/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 7037799689644416*sqrt(2)*I*(x - 1/2)**(15/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 8236367148639168*sqrt(2)*I*(x - 1/2)**(13/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 6425771604658560*sqrt(2)*I*(x - 1/2)**(11/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 3222450338494464*sqrt(2)*I*(x - 1/2)**(9/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 942422173238700*sqrt(2)*I*(x - 1/2)**(7/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 122356413906342*sqrt(2)*I*(x - 1/2)**(5/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 49715643824*sqrt(2)*I*(x - 1/2)**(3/2)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 181474110720000*sqrt(55)*I*(x - 1/2)**12*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 293680588861440*sqrt(21)*I*(x - 1/2)**12*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 146840294430720*sqrt(21)*I*pi*(x - 1/2)**12/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 90737055360000*sqrt(55)*I*pi*(x - 1/2)**12/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 2117197958400000*sqrt(55)*I*(x - 1/2)**11*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 3426273536716800*sqrt(21)*I*(x - 1/2)**11*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 1713136768358400*sqrt(21)*I*pi*(x - 1/2)**11/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 1058598979200000*sqrt(55)*I*pi*(x - 1/2)**11/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 11115289281600000*sqrt(55)*I*(x - 1/2)**10*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 17987936067763200*sqrt(21)*I*(x - 1/2)**10*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 8993968033881600*sqrt(21)*I*pi*(x - 1/2)**10/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 5557644640800000*sqrt(55)*I*pi*(x - 1/2)**10/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 34580899987200000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 55962467766374400*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 27981233883187200*sqrt(21)*I*pi*(x - 1/2)**9/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 17290449993600000*sqrt(55)*I*pi*(x - 1/2)**9/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 70602670807200000*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 114256705023014400*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 57128352511507200*sqrt(21)*I*pi*(x - 1/2)**8/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 35301335403600000*sqrt(55)*I*pi*(x - 1/2)**8/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 98843739130080000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 159959387032220160*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 79979693516110080*sqrt(21)*I*pi*(x - 1/2)**7/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 49421869565040000*sqrt(55)*I*pi*(x - 1/2)**7/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 96098079709800000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 155516070725769600*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 77758035362884800*sqrt(21)*I*pi*(x - 1/2)**6/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 48049039854900000*sqrt(55)*I*pi*(x - 1/2)**6/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 64065386473200000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 103677380483846400*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 51838690241923200*sqrt(21)*I*pi*(x - 1/2)**5/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 32032693236600000*sqrt(55)*I*pi*(x - 1/2)**5/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 28028606582025000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 45358853961682800*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 22679426980841400*sqrt(21)*I*pi*(x - 1/2)**4/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 14014303291012500*sqrt(55)*I*pi*(x - 1/2)**4/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 7266675780525000*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 11759702878954800*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 5879851439477400*sqrt(21)*I*pi*(x - 1/2)**3/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 3633337890262500*sqrt(55)*I*pi*(x - 1/2)**3/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 847778841061250*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)*sqrt(x - 1/2)/11)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 1371965335878060*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)*sqrt(x - 1/2)/7)/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) - 685982667939030*sqrt(21)*I*pi*(x - 1/2)**2/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2) + 423889420530625*sqrt(55)*I*pi*(x - 1/2)**2/(17566693917696*(x - 1/2)**12 + 204944762373120*(x - 1/2)**11 + 1075960002458880*(x - 1/2)**10 + 3347431118760960*(x - 1/2)**9 + 6834338534136960*(x - 1/2)**8 + 9568073947791744*(x - 1/2)**7 + 9302294115908640*(x - 1/2)**6 + 6201529410605760*(x - 1/2)**5 + 2713169117140020*(x - 1/2)**4 + 703414215554820*(x - 1/2)**3 + 82064991814729*(x - 1/2)**2)","C",0
2115,-1,0,0,0.000000," ","integrate((2+3*x)**6/(1-2*x)**(3/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2116,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(3/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2117,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(3/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2118,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(3/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2119,-1,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(3/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2120,-1,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(3/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2121,1,175,0,2.522550," ","integrate(1/(1-2*x)**(3/2)/(3+5*x)**2,x)","\begin{cases} - \frac{6 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{1331} + \frac{3 \sqrt{2}}{121 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{\sqrt{2}}{110 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{6 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{1331} - \frac{3 \sqrt{2} i}{121 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{\sqrt{2} i}{110 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-6*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/1331 + 3*sqrt(2)/(121*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - sqrt(2)/(110*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), 11/(10*Abs(x + 3/5)) > 1), (6*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/1331 - 3*sqrt(2)*I/(121*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + sqrt(2)*I/(110*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)), True))","A",0
2122,1,376,0,11.113478," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)/(3+5*x)**2,x)","\frac{30030 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} + \frac{3388 \sqrt{2} i \sqrt{x - \frac{1}{2}}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} - \frac{147000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} + \frac{239580 \sqrt{21} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} - \frac{119790 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{2}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} + \frac{73500 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{2}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} - \frac{161700 \sqrt{55} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} + \frac{263538 \sqrt{21} i \left(x - \frac{1}{2}\right) \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} - \frac{131769 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}} + \frac{80850 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)}{- 717409 x - 652190 \left(x - \frac{1}{2}\right)^{2} + \frac{717409}{2}}"," ",0,"30030*sqrt(2)*I*(x - 1/2)**(3/2)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) + 3388*sqrt(2)*I*sqrt(x - 1/2)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) - 147000*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) + 239580*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) - 119790*sqrt(21)*I*pi*(x - 1/2)**2/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) + 73500*sqrt(55)*I*pi*(x - 1/2)**2/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) - 161700*sqrt(55)*I*(x - 1/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) + 263538*sqrt(21)*I*(x - 1/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) - 131769*sqrt(21)*I*pi*(x - 1/2)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2) + 80850*sqrt(55)*I*pi*(x - 1/2)/(-717409*x - 652190*(x - 1/2)**2 + 717409/2)","C",0
2123,1,894,0,16.083003," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**2,x)","\frac{64827000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{104936040 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{32413500 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{52468020 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{146941200 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{237855024 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{73470600 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{118927512 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{83194650 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{134667918 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{41597325 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{67333959 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{10727640 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{12220824 \sqrt{2} \left(x - \frac{1}{2}\right)^{2}}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{47432 \sqrt{2} \left(x - \frac{1}{2}\right)}{- 27391980 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 62088488 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 35153041 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}"," ",0,"64827000*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 104936040*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 32413500*sqrt(55)*pi*(x - 1/2)**(7/2)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) + 52468020*sqrt(21)*pi*(x - 1/2)**(7/2)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) + 146941200*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 237855024*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 73470600*sqrt(55)*pi*(x - 1/2)**(5/2)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) + 118927512*sqrt(21)*pi*(x - 1/2)**(5/2)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) + 83194650*sqrt(55)*(x - 1/2)**(3/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 134667918*sqrt(21)*(x - 1/2)**(3/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 41597325*sqrt(55)*pi*(x - 1/2)**(3/2)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) + 67333959*sqrt(21)*pi*(x - 1/2)**(3/2)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 10727640*sqrt(2)*(x - 1/2)**3/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 12220824*sqrt(2)*(x - 1/2)**2/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2)) - 47432*sqrt(2)*(x - 1/2)/(-27391980*I*(x - 1/2)**(7/2) - 62088488*I*(x - 1/2)**(5/2) - 35153041*I*(x - 1/2)**(3/2))","C",0
2124,1,2222,0,22.554086," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**2,x)","- \frac{245353600800 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{1136904310080 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{1975315945680 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{1525208808816 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{441655676154 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{65076704 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{1493614080000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{2417208868800 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{746807040000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{1208604434400 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{8613174528000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{13939237810080 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{4306587264000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{6969618905040 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{19865067264000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{32148877955040 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{9932533632000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{16074438977520 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{22904848512000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{37068345634320 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{11452424256000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{18534172817160 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{13203041376000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{21367305742860 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{6601520688000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{10683652871430 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{3043814928000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{4925995635330 \sqrt{21} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} - \frac{1521907464000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{2}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}} + \frac{2462997817665 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{2}}{82833347520 \left(x - \frac{1}{2}\right)^{7} + 477672304032 \left(x - \frac{1}{2}\right)^{6} + 1101683522016 \left(x - \frac{1}{2}\right)^{5} + 1270264723728 \left(x - \frac{1}{2}\right)^{4} + 732218669644 \left(x - \frac{1}{2}\right)^{3} + 168804902882 \left(x - \frac{1}{2}\right)^{2}}"," ",0,"-245353600800*sqrt(2)*I*(x - 1/2)**(13/2)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 1136904310080*sqrt(2)*I*(x - 1/2)**(11/2)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 1975315945680*sqrt(2)*I*(x - 1/2)**(9/2)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 1525208808816*sqrt(2)*I*(x - 1/2)**(7/2)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 441655676154*sqrt(2)*I*(x - 1/2)**(5/2)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 65076704*sqrt(2)*I*(x - 1/2)**(3/2)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 1493614080000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 2417208868800*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 746807040000*sqrt(55)*I*pi*(x - 1/2)**7/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 1208604434400*sqrt(21)*I*pi*(x - 1/2)**7/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 8613174528000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 13939237810080*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 4306587264000*sqrt(55)*I*pi*(x - 1/2)**6/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 6969618905040*sqrt(21)*I*pi*(x - 1/2)**6/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 19865067264000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 32148877955040*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 9932533632000*sqrt(55)*I*pi*(x - 1/2)**5/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 16074438977520*sqrt(21)*I*pi*(x - 1/2)**5/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 22904848512000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 37068345634320*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 11452424256000*sqrt(55)*I*pi*(x - 1/2)**4/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 18534172817160*sqrt(21)*I*pi*(x - 1/2)**4/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 13203041376000*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 21367305742860*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 6601520688000*sqrt(55)*I*pi*(x - 1/2)**3/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 10683652871430*sqrt(21)*I*pi*(x - 1/2)**3/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 3043814928000*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)*sqrt(x - 1/2)/11)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 4925995635330*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)*sqrt(x - 1/2)/7)/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) - 1521907464000*sqrt(55)*I*pi*(x - 1/2)**2/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2) + 2462997817665*sqrt(21)*I*pi*(x - 1/2)**2/(82833347520*(x - 1/2)**7 + 477672304032*(x - 1/2)**6 + 1101683522016*(x - 1/2)**5 + 1270264723728*(x - 1/2)**4 + 732218669644*(x - 1/2)**3 + 168804902882*(x - 1/2)**2)","C",0
2125,-1,0,0,0.000000," ","integrate((2+3*x)**6/(1-2*x)**(3/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2126,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(3/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2127,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(3/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2128,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(3/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2129,-1,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(3/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2130,-1,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(3/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2131,1,231,0,3.989074," ","integrate(1/(1-2*x)**(3/2)/(3+5*x)**3,x)","\begin{cases} - \frac{15 \sqrt{55} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{14641} + \frac{15 \sqrt{2}}{2662 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} - \frac{\sqrt{2}}{484 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} - \frac{\sqrt{2}}{1100 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{15 \sqrt{55} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{14641} - \frac{15 \sqrt{2} i}{2662 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \sqrt{x + \frac{3}{5}}} + \frac{\sqrt{2} i}{484 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{3}{2}}} + \frac{\sqrt{2} i}{1100 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{5}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-15*sqrt(55)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/14641 + 15*sqrt(2)/(2662*sqrt(-1 + 11/(10*(x + 3/5)))*sqrt(x + 3/5)) - sqrt(2)/(484*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) - sqrt(2)/(1100*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), 11/(10*Abs(x + 3/5)) > 1), (15*sqrt(55)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/14641 - 15*sqrt(2)*I/(2662*sqrt(1 - 11/(10*(x + 3/5)))*sqrt(x + 3/5)) + sqrt(2)*I/(484*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(3/2)) + sqrt(2)*I/(1100*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(5/2)), True))","A",0
2132,1,2088,0,15.483862," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)/(3+5*x)**3,x)","- \frac{9775500000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{15812280000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{7906140000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{4887750000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{43012200000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{69574032000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{34787016000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{21506100000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{70970130000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{114797152800 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{57398576400 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{35485065000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{52044762000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{84184578720 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{42092289360 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{26022381000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{14312309550 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{23150759148 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{3}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{11575379574 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{7156154775 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{1577730000 \sqrt{2} \left(x - \frac{1}{2}\right)^{5}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{5133667000 \sqrt{2} \left(x - \frac{1}{2}\right)^{4}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{5552000300 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{1979023970 \sqrt{2} \left(x - \frac{1}{2}\right)^{2}}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} - \frac{18037712 \sqrt{2} \left(x - \frac{1}{2}\right)}{- 14348180000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} - 63131992000 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} - 104167786800 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} - 76389710320 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}} - 21007170338 i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}"," ",0,"-9775500000*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 15812280000*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 7906140000*sqrt(21)*pi*(x - 1/2)**(11/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 4887750000*sqrt(55)*pi*(x - 1/2)**(11/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 43012200000*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 69574032000*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 34787016000*sqrt(21)*pi*(x - 1/2)**(9/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 21506100000*sqrt(55)*pi*(x - 1/2)**(9/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 70970130000*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 114797152800*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 57398576400*sqrt(21)*pi*(x - 1/2)**(7/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 35485065000*sqrt(55)*pi*(x - 1/2)**(7/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 52044762000*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 84184578720*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 42092289360*sqrt(21)*pi*(x - 1/2)**(5/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 26022381000*sqrt(55)*pi*(x - 1/2)**(5/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 14312309550*sqrt(55)*(x - 1/2)**(3/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 23150759148*sqrt(21)*(x - 1/2)**(3/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 11575379574*sqrt(21)*pi*(x - 1/2)**(3/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 7156154775*sqrt(55)*pi*(x - 1/2)**(3/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 1577730000*sqrt(2)*(x - 1/2)**5/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 5133667000*sqrt(2)*(x - 1/2)**4/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 5552000300*sqrt(2)*(x - 1/2)**3/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) + 1979023970*sqrt(2)*(x - 1/2)**2/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2)) - 18037712*sqrt(2)*(x - 1/2)/(-14348180000*I*(x - 1/2)**(11/2) - 63131992000*I*(x - 1/2)**(9/2) - 104167786800*I*(x - 1/2)**(7/2) - 76389710320*I*(x - 1/2)**(5/2) - 21007170338*I*(x - 1/2)**(3/2))","C",0
2133,1,2222,0,22.087752," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**3,x)","\frac{1039347540000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{4607668296000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{7658622448400 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{5656411074160 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{1565987216794 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{252527968 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{6331437000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{10246357440000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{5123178720000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{3165718500000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{35244999300000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{57038056416000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{28519028208000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{17622499650000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{78467609220000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{126986523206400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{63493261603200 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{39233804610000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{87335841978000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{141338254527360 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{70669127263680 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{43667920989000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{48596522597700 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{78645233440224 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{39322616720112 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{24298261298850 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{10814833063650 \sqrt{55} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{17501973915888 \sqrt{21} i \left(x - \frac{1}{2}\right)^{2} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} - \frac{8750986957944 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{2}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}} + \frac{5407416531825 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{2}}{602623560000 \left(x - \frac{1}{2}\right)^{7} + 3354604484000 \left(x - \frac{1}{2}\right)^{6} + 7468514653600 \left(x - \frac{1}{2}\right)^{5} + 8312589386640 \left(x - \frac{1}{2}\right)^{4} + 4625396959876 \left(x - \frac{1}{2}\right)^{3} + 1029351346562 \left(x - \frac{1}{2}\right)^{2}}"," ",0,"1039347540000*sqrt(2)*I*(x - 1/2)**(13/2)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 4607668296000*sqrt(2)*I*(x - 1/2)**(11/2)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 7658622448400*sqrt(2)*I*(x - 1/2)**(9/2)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 5656411074160*sqrt(2)*I*(x - 1/2)**(7/2)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 1565987216794*sqrt(2)*I*(x - 1/2)**(5/2)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 252527968*sqrt(2)*I*(x - 1/2)**(3/2)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 6331437000000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 10246357440000*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 5123178720000*sqrt(21)*I*pi*(x - 1/2)**7/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 3165718500000*sqrt(55)*I*pi*(x - 1/2)**7/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 35244999300000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 57038056416000*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 28519028208000*sqrt(21)*I*pi*(x - 1/2)**6/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 17622499650000*sqrt(55)*I*pi*(x - 1/2)**6/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 78467609220000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 126986523206400*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 63493261603200*sqrt(21)*I*pi*(x - 1/2)**5/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 39233804610000*sqrt(55)*I*pi*(x - 1/2)**5/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 87335841978000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 141338254527360*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 70669127263680*sqrt(21)*I*pi*(x - 1/2)**4/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 43667920989000*sqrt(55)*I*pi*(x - 1/2)**4/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 48596522597700*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 78645233440224*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 39322616720112*sqrt(21)*I*pi*(x - 1/2)**3/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 24298261298850*sqrt(55)*I*pi*(x - 1/2)**3/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 10814833063650*sqrt(55)*I*(x - 1/2)**2*atan(sqrt(110)*sqrt(x - 1/2)/11)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 17501973915888*sqrt(21)*I*(x - 1/2)**2*atan(sqrt(42)*sqrt(x - 1/2)/7)/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) - 8750986957944*sqrt(21)*I*pi*(x - 1/2)**2/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2) + 5407416531825*sqrt(55)*I*pi*(x - 1/2)**2/(602623560000*(x - 1/2)**7 + 3354604484000*(x - 1/2)**6 + 7468514653600*(x - 1/2)**5 + 8312589386640*(x - 1/2)**4 + 4625396959876*(x - 1/2)**3 + 1029351346562*(x - 1/2)**2)","C",0
2134,1,5828,0,28.058487," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**3,x)","\frac{97154928360000000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{21}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{157230354916800000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{21}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{48577464180000000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{21}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{78615177458400000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{21}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{880871350464000000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{19}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1425555217912320000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{19}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{440435675232000000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{19}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{712777608956160000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{19}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{3493691223825600000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{17}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{5654003562808128000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{17}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1746845611912800000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{2827001781404064000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{7917075948781440000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{12812573508547507200 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{15}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{3958537974390720000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{6406286754273753600 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{11211698643507096000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{13}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - 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\frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{15954136228800000 \sqrt{2} \left(x - \frac{1}{2}\right)^{10}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{126571957585920000 \sqrt{2} \left(x - \frac{1}{2}\right)^{9}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{430287960796848000 \sqrt{2} \left(x - \frac{1}{2}\right)^{8}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{812535935908435200 \sqrt{2} \left(x - \frac{1}{2}\right)^{7}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{920473454994619680 \sqrt{2} \left(x - \frac{1}{2}\right)^{6}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{625554301151866240 \sqrt{2} \left(x - \frac{1}{2}\right)^{5}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{236145325246866728 \sqrt{2} \left(x - \frac{1}{2}\right)^{4}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{38198518801324112 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{173234186048 \sqrt{2} \left(x - \frac{1}{2}\right)^{2}}{911166822720000 i \left(x - \frac{1}{2}\right)^{\frac{21}{2}} + 8261245859328000 i \left(x - \frac{1}{2}\right)^{\frac{19}{2}} + 32765558945011200 i \left(x - \frac{1}{2}\right)^{\frac{17}{2}} + 74250241951226880 i \left(x - \frac{1}{2}\right)^{\frac{15}{2}} + 105148838074841792 i \left(x - \frac{1}{2}\right)^{\frac{13}{2}} + 95287810504074496 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 53963055273603168 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 17460793314336064 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 2471472583095362 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}"," ",0,"97154928360000000*sqrt(55)*(x - 1/2)**(21/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 157230354916800000*sqrt(21)*(x - 1/2)**(21/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 48577464180000000*sqrt(55)*pi*(x - 1/2)**(21/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 78615177458400000*sqrt(21)*pi*(x - 1/2)**(21/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 880871350464000000*sqrt(55)*(x - 1/2)**(19/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 1425555217912320000*sqrt(21)*(x - 1/2)**(19/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 440435675232000000*sqrt(55)*pi*(x - 1/2)**(19/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 712777608956160000*sqrt(21)*pi*(x - 1/2)**(19/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 3493691223825600000*sqrt(55)*(x - 1/2)**(17/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 5654003562808128000*sqrt(21)*(x - 1/2)**(17/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 1746845611912800000*sqrt(55)*pi*(x - 1/2)**(17/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 2827001781404064000*sqrt(21)*pi*(x - 1/2)**(17/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 7917075948781440000*sqrt(55)*(x - 1/2)**(15/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 12812573508547507200*sqrt(21)*(x - 1/2)**(15/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 3958537974390720000*sqrt(55)*pi*(x - 1/2)**(15/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 6406286754273753600*sqrt(21)*pi*(x - 1/2)**(15/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 11211698643507096000*sqrt(55)*(x - 1/2)**(13/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 18144415179915900480*sqrt(21)*(x - 1/2)**(13/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 5605849321753548000*sqrt(55)*pi*(x - 1/2)**(13/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 9072207589957950240*sqrt(21)*pi*(x - 1/2)**(13/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 10160247467602848000*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 16442802669302634240*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 5080123733801424000*sqrt(55)*pi*(x - 1/2)**(11/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 8221401334651317120*sqrt(21)*pi*(x - 1/2)**(11/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 5753915351683884000*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 9311829756635941920*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 2876957675841942000*sqrt(55)*pi*(x - 1/2)**(9/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 4655914878317970960*sqrt(21)*pi*(x - 1/2)**(9/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 1861790927043432000*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 3013023149533172160*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 930895463521716000*sqrt(55)*pi*(x - 1/2)**(7/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 1506511574766586080*sqrt(21)*pi*(x - 1/2)**(7/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 263525554011662250*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 426475703150835030*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 131762777005831125*sqrt(55)*pi*(x - 1/2)**(5/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 213237851575417515*sqrt(21)*pi*(x - 1/2)**(5/2)/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 15954136228800000*sqrt(2)*(x - 1/2)**10/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 126571957585920000*sqrt(2)*(x - 1/2)**9/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 430287960796848000*sqrt(2)*(x - 1/2)**8/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 812535935908435200*sqrt(2)*(x - 1/2)**7/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 920473454994619680*sqrt(2)*(x - 1/2)**6/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 625554301151866240*sqrt(2)*(x - 1/2)**5/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 236145325246866728*sqrt(2)*(x - 1/2)**4/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) - 38198518801324112*sqrt(2)*(x - 1/2)**3/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2)) + 173234186048*sqrt(2)*(x - 1/2)**2/(911166822720000*I*(x - 1/2)**(21/2) + 8261245859328000*I*(x - 1/2)**(19/2) + 32765558945011200*I*(x - 1/2)**(17/2) + 74250241951226880*I*(x - 1/2)**(15/2) + 105148838074841792*I*(x - 1/2)**(13/2) + 95287810504074496*I*(x - 1/2)**(11/2) + 53963055273603168*I*(x - 1/2)**(9/2) + 17460793314336064*I*(x - 1/2)**(7/2) + 2471472583095362*I*(x - 1/2)**(5/2))","C",0
2135,1,82,0,37.135215," ","integrate((2+3*x)**5*(3+5*x)/(1-2*x)**(5/2),x)","- \frac{135 \left(1 - 2 x\right)^{\frac{9}{2}}}{64} + \frac{1053 \left(1 - 2 x\right)^{\frac{7}{2}}}{28} - \frac{19467 \left(1 - 2 x\right)^{\frac{5}{2}}}{64} + \frac{12495 \left(1 - 2 x\right)^{\frac{3}{2}}}{8} - \frac{519645 \sqrt{1 - 2 x}}{64} - \frac{60025}{8 \sqrt{1 - 2 x}} + \frac{184877}{192 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-135*(1 - 2*x)**(9/2)/64 + 1053*(1 - 2*x)**(7/2)/28 - 19467*(1 - 2*x)**(5/2)/64 + 12495*(1 - 2*x)**(3/2)/8 - 519645*sqrt(1 - 2*x)/64 - 60025/(8*sqrt(1 - 2*x)) + 184877/(192*(1 - 2*x)**(3/2))","A",0
2136,1,70,0,30.353778," ","integrate((2+3*x)**4*(3+5*x)/(1-2*x)**(5/2),x)","\frac{405 \left(1 - 2 x\right)^{\frac{7}{2}}}{224} - \frac{4671 \left(1 - 2 x\right)^{\frac{5}{2}}}{160} + \frac{3591 \left(1 - 2 x\right)^{\frac{3}{2}}}{16} - \frac{24843 \sqrt{1 - 2 x}}{16} - \frac{57281}{32 \sqrt{1 - 2 x}} + \frac{26411}{96 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"405*(1 - 2*x)**(7/2)/224 - 4671*(1 - 2*x)**(5/2)/160 + 3591*(1 - 2*x)**(3/2)/16 - 24843*sqrt(1 - 2*x)/16 - 57281/(32*sqrt(1 - 2*x)) + 26411/(96*(1 - 2*x)**(3/2))","A",0
2137,1,58,0,23.226124," ","integrate((2+3*x)**3*(3+5*x)/(1-2*x)**(5/2),x)","- \frac{27 \left(1 - 2 x\right)^{\frac{5}{2}}}{16} + \frac{207 \left(1 - 2 x\right)^{\frac{3}{2}}}{8} - \frac{1071 \sqrt{1 - 2 x}}{4} - \frac{3283}{8 \sqrt{1 - 2 x}} + \frac{3773}{48 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-27*(1 - 2*x)**(5/2)/16 + 207*(1 - 2*x)**(3/2)/8 - 1071*sqrt(1 - 2*x)/4 - 3283/(8*sqrt(1 - 2*x)) + 3773/(48*(1 - 2*x)**(3/2))","A",0
2138,1,102,0,0.709371," ","integrate((2+3*x)**2*(3+5*x)/(1-2*x)**(5/2),x)","\frac{45 x^{3}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{396 x^{2}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} - \frac{960 x}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{308}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}}"," ",0,"45*x**3/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 396*x**2/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) - 960*x/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 308/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x))","B",0
2139,1,75,0,0.663939," ","integrate((2+3*x)*(3+5*x)/(1-2*x)**(5/2),x)","\frac{45 x^{2}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} - \frac{147 x}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{43}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}}"," ",0,"45*x**2/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) - 147*x/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 43/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x))","B",0
2140,1,48,0,0.594790," ","integrate((3+5*x)/(1-2*x)**(5/2),x)","- \frac{15 x}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{2}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}}"," ",0,"-15*x/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 2/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x))","B",0
2141,1,90,0,28.076171," ","integrate((3+5*x)/(1-2*x)**(5/2)/(2+3*x),x)","- \frac{6 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{49} - \frac{2}{49 \sqrt{1 - 2 x}} + \frac{11}{21 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-6*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/49 - 2/(49*sqrt(1 - 2*x)) + 11/(21*(1 - 2*x)**(3/2))","A",0
2142,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2143,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2144,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2145,-1,0,0,0.000000," ","integrate((3+5*x)/(1-2*x)**(5/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2146,1,94,0,44.488024," ","integrate((2+3*x)**5*(3+5*x)**2/(1-2*x)**(5/2),x)","\frac{6075 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} - \frac{10845 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} + \frac{672003 \left(1 - 2 x\right)^{\frac{7}{2}}}{896} - \frac{514017 \left(1 - 2 x\right)^{\frac{5}{2}}}{128} + \frac{1965635 \left(1 - 2 x\right)^{\frac{3}{2}}}{128} - \frac{8117095 \sqrt{1 - 2 x}}{128} - \frac{6206585}{128 \sqrt{1 - 2 x}} + \frac{2033647}{384 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"6075*(1 - 2*x)**(11/2)/1408 - 10845*(1 - 2*x)**(9/2)/128 + 672003*(1 - 2*x)**(7/2)/896 - 514017*(1 - 2*x)**(5/2)/128 + 1965635*(1 - 2*x)**(3/2)/128 - 8117095*sqrt(1 - 2*x)/128 - 6206585/(128*sqrt(1 - 2*x)) + 2033647/(384*(1 - 2*x)**(3/2))","A",0
2147,1,82,0,36.468208," ","integrate((2+3*x)**4*(3+5*x)**2/(1-2*x)**(5/2),x)","- \frac{225 \left(1 - 2 x\right)^{\frac{9}{2}}}{64} + \frac{13905 \left(1 - 2 x\right)^{\frac{7}{2}}}{224} - \frac{159111 \left(1 - 2 x\right)^{\frac{5}{2}}}{320} + \frac{40453 \left(1 - 2 x\right)^{\frac{3}{2}}}{16} - \frac{832951 \sqrt{1 - 2 x}}{64} - \frac{381073}{32 \sqrt{1 - 2 x}} + \frac{290521}{192 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-225*(1 - 2*x)**(9/2)/64 + 13905*(1 - 2*x)**(7/2)/224 - 159111*(1 - 2*x)**(5/2)/320 + 40453*(1 - 2*x)**(3/2)/16 - 832951*sqrt(1 - 2*x)/64 - 381073/(32*sqrt(1 - 2*x)) + 290521/(192*(1 - 2*x)**(3/2))","A",0
2148,1,70,0,29.852019," ","integrate((2+3*x)**3*(3+5*x)**2/(1-2*x)**(5/2),x)","\frac{675 \left(1 - 2 x\right)^{\frac{7}{2}}}{224} - \frac{1539 \left(1 - 2 x\right)^{\frac{5}{2}}}{32} + \frac{5847 \left(1 - 2 x\right)^{\frac{3}{2}}}{16} - \frac{39977 \sqrt{1 - 2 x}}{16} - \frac{91091}{32 \sqrt{1 - 2 x}} + \frac{41503}{96 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"675*(1 - 2*x)**(7/2)/224 - 1539*(1 - 2*x)**(5/2)/32 + 5847*(1 - 2*x)**(3/2)/16 - 39977*sqrt(1 - 2*x)/16 - 91091/(32*sqrt(1 - 2*x)) + 41503/(96*(1 - 2*x)**(3/2))","A",0
2149,1,58,0,22.474500," ","integrate((2+3*x)**2*(3+5*x)**2/(1-2*x)**(5/2),x)","- \frac{45 \left(1 - 2 x\right)^{\frac{5}{2}}}{16} + \frac{85 \left(1 - 2 x\right)^{\frac{3}{2}}}{2} - \frac{3467 \sqrt{1 - 2 x}}{8} - \frac{1309}{2 \sqrt{1 - 2 x}} + \frac{5929}{48 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-45*(1 - 2*x)**(5/2)/16 + 85*(1 - 2*x)**(3/2)/2 - 3467*sqrt(1 - 2*x)/8 - 1309/(2*sqrt(1 - 2*x)) + 5929/(48*(1 - 2*x)**(3/2))","A",0
2150,1,102,0,0.689532," ","integrate((2+3*x)*(3+5*x)**2/(1-2*x)**(5/2),x)","\frac{75 x^{3}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{645 x^{2}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} - \frac{1551 x}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{499}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}}"," ",0,"75*x**3/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 645*x**2/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) - 1551*x/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 499/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x))","B",0
2151,1,75,0,0.614545," ","integrate((3+5*x)**2/(1-2*x)**(5/2),x)","\frac{75 x^{2}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} - \frac{240 x}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{71}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}}"," ",0,"75*x**2/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) - 240*x/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 71/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x))","B",0
2152,1,90,0,40.433182," ","integrate((3+5*x)**2/(1-2*x)**(5/2)/(2+3*x),x)","\frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{49} - \frac{407}{98 \sqrt{1 - 2 x}} + \frac{121}{42 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"2*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/49 - 407/(98*sqrt(1 - 2*x)) + 121/(42*(1 - 2*x)**(3/2))","A",0
2153,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2154,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2155,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2156,-1,0,0,0.000000," ","integrate((3+5*x)**2/(1-2*x)**(5/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2157,1,105,0,53.469546," ","integrate((2+3*x)**5*(3+5*x)**3/(1-2*x)**(5/2),x)","- \frac{30375 \left(1 - 2 x\right)^{\frac{13}{2}}}{3328} + \frac{277425 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} - \frac{246315 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} + \frac{10121229 \left(1 - 2 x\right)^{\frac{7}{2}}}{896} - \frac{2887773 \left(1 - 2 x\right)^{\frac{5}{2}}}{64} + \frac{52725715 \left(1 - 2 x\right)^{\frac{3}{2}}}{384} - \frac{60160485 \sqrt{1 - 2 x}}{128} - \frac{39220335}{128 \sqrt{1 - 2 x}} + \frac{22370117}{768 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-30375*(1 - 2*x)**(13/2)/3328 + 277425*(1 - 2*x)**(11/2)/1408 - 246315*(1 - 2*x)**(9/2)/128 + 10121229*(1 - 2*x)**(7/2)/896 - 2887773*(1 - 2*x)**(5/2)/64 + 52725715*(1 - 2*x)**(3/2)/384 - 60160485*sqrt(1 - 2*x)/128 - 39220335/(128*sqrt(1 - 2*x)) + 22370117/(768*(1 - 2*x)**(3/2))","A",0
2158,1,94,0,43.403949," ","integrate((2+3*x)**4*(3+5*x)**3/(1-2*x)**(5/2),x)","\frac{10125 \left(1 - 2 x\right)^{\frac{11}{2}}}{1408} - \frac{17925 \left(1 - 2 x\right)^{\frac{9}{2}}}{128} + \frac{1101465 \left(1 - 2 x\right)^{\frac{7}{2}}}{896} - \frac{4177401 \left(1 - 2 x\right)^{\frac{5}{2}}}{640} + \frac{9504551 \left(1 - 2 x\right)^{\frac{3}{2}}}{384} - \frac{12973191 \sqrt{1 - 2 x}}{128} - \frac{9836211}{128 \sqrt{1 - 2 x}} + \frac{3195731}{384 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"10125*(1 - 2*x)**(11/2)/1408 - 17925*(1 - 2*x)**(9/2)/128 + 1101465*(1 - 2*x)**(7/2)/896 - 4177401*(1 - 2*x)**(5/2)/640 + 9504551*(1 - 2*x)**(3/2)/384 - 12973191*sqrt(1 - 2*x)/128 - 9836211/(128*sqrt(1 - 2*x)) + 3195731/(384*(1 - 2*x)**(3/2))","A",0
2159,1,82,0,35.493890," ","integrate((2+3*x)**3*(3+5*x)**3/(1-2*x)**(5/2),x)","- \frac{375 \left(1 - 2 x\right)^{\frac{9}{2}}}{64} + \frac{11475 \left(1 - 2 x\right)^{\frac{7}{2}}}{112} - \frac{52011 \left(1 - 2 x\right)^{\frac{5}{2}}}{64} + \frac{98209 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} - \frac{1334949 \sqrt{1 - 2 x}}{64} - \frac{302379}{16 \sqrt{1 - 2 x}} + \frac{456533}{192 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-375*(1 - 2*x)**(9/2)/64 + 11475*(1 - 2*x)**(7/2)/112 - 52011*(1 - 2*x)**(5/2)/64 + 98209*(1 - 2*x)**(3/2)/24 - 1334949*sqrt(1 - 2*x)/64 - 302379/(16*sqrt(1 - 2*x)) + 456533/(192*(1 - 2*x)**(3/2))","A",0
2160,1,70,0,28.934669," ","integrate((2+3*x)**2*(3+5*x)**3/(1-2*x)**(5/2),x)","\frac{1125 \left(1 - 2 x\right)^{\frac{7}{2}}}{224} - \frac{2535 \left(1 - 2 x\right)^{\frac{5}{2}}}{32} + \frac{28555 \left(1 - 2 x\right)^{\frac{3}{2}}}{48} - \frac{64317 \sqrt{1 - 2 x}}{16} - \frac{144837}{32 \sqrt{1 - 2 x}} + \frac{65219}{96 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"1125*(1 - 2*x)**(7/2)/224 - 2535*(1 - 2*x)**(5/2)/32 + 28555*(1 - 2*x)**(3/2)/48 - 64317*sqrt(1 - 2*x)/16 - 144837/(32*sqrt(1 - 2*x)) + 65219/(96*(1 - 2*x)**(3/2))","A",0
2161,1,58,0,23.389713," ","integrate((2+3*x)*(3+5*x)**3/(1-2*x)**(5/2),x)","- \frac{75 \left(1 - 2 x\right)^{\frac{5}{2}}}{16} + \frac{1675 \left(1 - 2 x\right)^{\frac{3}{2}}}{24} - \frac{2805 \sqrt{1 - 2 x}}{4} - \frac{8349}{8 \sqrt{1 - 2 x}} + \frac{9317}{48 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-75*(1 - 2*x)**(5/2)/16 + 1675*(1 - 2*x)**(3/2)/24 - 2805*sqrt(1 - 2*x)/4 - 8349/(8*sqrt(1 - 2*x)) + 9317/(48*(1 - 2*x)**(3/2))","A",0
2162,1,102,0,0.675215," ","integrate((3+5*x)**3/(1-2*x)**(5/2),x)","\frac{125 x^{3}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{1050 x^{2}}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} - \frac{2505 x}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}} + \frac{808}{6 x \sqrt{1 - 2 x} - 3 \sqrt{1 - 2 x}}"," ",0,"125*x**3/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 1050*x**2/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) - 2505*x/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x)) + 808/(6*x*sqrt(1 - 2*x) - 3*sqrt(1 - 2*x))","B",0
2163,1,102,0,58.148907," ","integrate((3+5*x)**3/(1-2*x)**(5/2)/(2+3*x),x)","- \frac{125 \sqrt{1 - 2 x}}{12} - \frac{2 \left(\begin{cases} - \frac{\sqrt{21} \operatorname{acoth}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 < - \frac{7}{3} \\- \frac{\sqrt{21} \operatorname{atanh}{\left(\frac{\sqrt{21} \sqrt{1 - 2 x}}{7} \right)}}{21} & \text{for}\: 2 x - 1 > - \frac{7}{3} \end{cases}\right)}{147} - \frac{2178}{49 \sqrt{1 - 2 x}} + \frac{1331}{84 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-125*sqrt(1 - 2*x)/12 - 2*Piecewise((-sqrt(21)*acoth(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 < -7/3), (-sqrt(21)*atanh(sqrt(21)*sqrt(1 - 2*x)/7)/21, 2*x - 1 > -7/3))/147 - 2178/(49*sqrt(1 - 2*x)) + 1331/(84*(1 - 2*x)**(3/2))","A",0
2164,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2165,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2166,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2167,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(5/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2168,-1,0,0,0.000000," ","integrate((3+5*x)**3/(1-2*x)**(5/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2169,1,138,0,141.033480," ","integrate((2+3*x)**6/(1-2*x)**(5/2)/(3+5*x),x)","\frac{729 \left(1 - 2 x\right)^{\frac{7}{2}}}{1120} - \frac{43011 \left(1 - 2 x\right)^{\frac{5}{2}}}{4000} + \frac{169209 \left(1 - 2 x\right)^{\frac{3}{2}}}{2000} - \frac{5992353 \sqrt{1 - 2 x}}{10000} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{75625} - \frac{2739541}{3872 \sqrt{1 - 2 x}} + \frac{117649}{1056 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"729*(1 - 2*x)**(7/2)/1120 - 43011*(1 - 2*x)**(5/2)/4000 + 169209*(1 - 2*x)**(3/2)/2000 - 5992353*sqrt(1 - 2*x)/10000 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/75625 - 2739541/(3872*sqrt(1 - 2*x)) + 117649/(1056*(1 - 2*x)**(3/2))","A",0
2170,1,126,0,106.928716," ","integrate((2+3*x)**5/(1-2*x)**(5/2)/(3+5*x),x)","- \frac{243 \left(1 - 2 x\right)^{\frac{5}{2}}}{400} + \frac{1917 \left(1 - 2 x\right)^{\frac{3}{2}}}{200} - \frac{51057 \sqrt{1 - 2 x}}{500} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{15125} - \frac{156065}{968 \sqrt{1 - 2 x}} + \frac{16807}{528 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-243*(1 - 2*x)**(5/2)/400 + 1917*(1 - 2*x)**(3/2)/200 - 51057*sqrt(1 - 2*x)/500 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/15125 - 156065/(968*sqrt(1 - 2*x)) + 16807/(528*(1 - 2*x)**(3/2))","A",0
2171,1,114,0,81.341076," ","integrate((2+3*x)**4/(1-2*x)**(5/2)/(3+5*x),x)","\frac{27 \left(1 - 2 x\right)^{\frac{3}{2}}}{40} - \frac{2889 \sqrt{1 - 2 x}}{200} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{3025} - \frac{33271}{968 \sqrt{1 - 2 x}} + \frac{2401}{264 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"27*(1 - 2*x)**(3/2)/40 - 2889*sqrt(1 - 2*x)/200 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/3025 - 33271/(968*sqrt(1 - 2*x)) + 2401/(264*(1 - 2*x)**(3/2))","A",0
2172,1,102,0,60.070569," ","integrate((2+3*x)**3/(1-2*x)**(5/2)/(3+5*x),x)","- \frac{27 \sqrt{1 - 2 x}}{20} + \frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{605} - \frac{784}{121 \sqrt{1 - 2 x}} + \frac{343}{132 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"-27*sqrt(1 - 2*x)/20 + 2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/605 - 784/(121*sqrt(1 - 2*x)) + 343/(132*(1 - 2*x)**(3/2))","A",0
2173,1,90,0,42.700188," ","integrate((2+3*x)**2/(1-2*x)**(5/2)/(3+5*x),x)","\frac{2 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{121} - \frac{217}{242 \sqrt{1 - 2 x}} + \frac{49}{66 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"2*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/121 - 217/(242*sqrt(1 - 2*x)) + 49/(66*(1 - 2*x)**(3/2))","A",0
2174,1,90,0,27.946510," ","integrate((2+3*x)/(1-2*x)**(5/2)/(3+5*x),x)","\frac{10 \left(\begin{cases} - \frac{\sqrt{55} \operatorname{acoth}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 < - \frac{11}{5} \\- \frac{\sqrt{55} \operatorname{atanh}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{55} & \text{for}\: 2 x - 1 > - \frac{11}{5} \end{cases}\right)}{121} + \frac{2}{121 \sqrt{1 - 2 x}} + \frac{7}{33 \left(1 - 2 x\right)^{\frac{3}{2}}}"," ",0,"10*Piecewise((-sqrt(55)*acoth(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 < -11/5), (-sqrt(55)*atanh(sqrt(55)*sqrt(1 - 2*x)/11)/55, 2*x - 1 > -11/5))/121 + 2/(121*sqrt(1 - 2*x)) + 7/(33*(1 - 2*x)**(3/2))","A",0
2175,1,1836,0,2.963229," ","integrate(1/(1-2*x)**(5/2)/(3+5*x),x)","\begin{cases} - \frac{3000 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{3000 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(22 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(10 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3000 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(2 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{1500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(11 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{1500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(110 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{300 \sqrt{55} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{6600 \sqrt{5} i \left(x + \frac{3}{5}\right) \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{3300 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(110 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{3300 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(11 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{6600 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(2 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3300 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(10 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{6600 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(22 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{440 \sqrt{55} i \sqrt{10 x - 5}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{3630 \sqrt{5} i \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{3630 \sqrt{5} \log{\left(22 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1815 \sqrt{5} \log{\left(10 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3630 \sqrt{5} \log{\left(2 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{1815 \sqrt{5} \log{\left(11 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{1815 \sqrt{5} \log{\left(110 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{300 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{440 \sqrt{55} \sqrt{5 - 10 x}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(x + \frac{3}{5} \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3000 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(10 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{1500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(11 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1500 \sqrt{5} i \pi \left(x + \frac{3}{5}\right)^{2}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3300 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(x + \frac{3}{5} \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{6600 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{3300 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(11 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3300 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(10 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3300 \sqrt{5} i \pi \left(x + \frac{3}{5}\right)}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1815 \sqrt{5} \log{\left(x + \frac{3}{5} \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{3630 \sqrt{5} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1815 \sqrt{5} \log{\left(10 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} + \frac{1815 \sqrt{5} \log{\left(11 \right)}}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} - \frac{1815 \sqrt{5} i \pi}{- 36300 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 79860 \sqrt{11} \left(x + \frac{3}{5}\right) - 43923 \sqrt{11}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3000*sqrt(5)*I*(x + 3/5)**2*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 3000*sqrt(5)*(x + 3/5)**2*log(22)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1500*sqrt(5)*(x + 3/5)**2*log(10)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3000*sqrt(5)*(x + 3/5)**2*log(2)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 1500*sqrt(5)*(x + 3/5)**2*log(11)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 1500*sqrt(5)*(x + 3/5)**2*log(110)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 300*sqrt(55)*I*(x + 3/5)*sqrt(10*x - 5)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 6600*sqrt(5)*I*(x + 3/5)*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 3300*sqrt(5)*(x + 3/5)*log(110)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 3300*sqrt(5)*(x + 3/5)*log(11)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 6600*sqrt(5)*(x + 3/5)*log(2)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3300*sqrt(5)*(x + 3/5)*log(10)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 6600*sqrt(5)*(x + 3/5)*log(22)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 440*sqrt(55)*I*sqrt(10*x - 5)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 3630*sqrt(5)*I*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 3630*sqrt(5)*log(22)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1815*sqrt(5)*log(10)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3630*sqrt(5)*log(2)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 1815*sqrt(5)*log(11)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 1815*sqrt(5)*log(110)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)), 10*Abs(x + 3/5)/11 > 1), (300*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 440*sqrt(55)*sqrt(5 - 10*x)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1500*sqrt(5)*(x + 3/5)**2*log(x + 3/5)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3000*sqrt(5)*(x + 3/5)**2*log(sqrt(5/11 - 10*x/11) + 1)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1500*sqrt(5)*(x + 3/5)**2*log(10)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 1500*sqrt(5)*(x + 3/5)**2*log(11)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1500*sqrt(5)*I*pi*(x + 3/5)**2/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3300*sqrt(5)*(x + 3/5)*log(x + 3/5)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 6600*sqrt(5)*(x + 3/5)*log(sqrt(5/11 - 10*x/11) + 1)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 3300*sqrt(5)*(x + 3/5)*log(11)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3300*sqrt(5)*(x + 3/5)*log(10)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3300*sqrt(5)*I*pi*(x + 3/5)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1815*sqrt(5)*log(x + 3/5)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 3630*sqrt(5)*log(sqrt(5/11 - 10*x/11) + 1)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1815*sqrt(5)*log(10)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) + 1815*sqrt(5)*log(11)/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)) - 1815*sqrt(5)*I*pi/(-36300*sqrt(11)*(x + 3/5)**2 + 79860*sqrt(11)*(x + 3/5) - 43923*sqrt(11)), True))","C",0
2176,1,105,0,8.064620," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)/(3+5*x),x)","- \frac{50 \sqrt{55} i \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{1331} + \frac{18 \sqrt{21} i \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{343} - \frac{136 \sqrt{2} i}{5929 \sqrt{x - \frac{1}{2}}} + \frac{\sqrt{2} i}{231 \left(x - \frac{1}{2}\right)^{\frac{3}{2}}} + \frac{\sqrt{2} i}{20 \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}"," ",0,"-50*sqrt(55)*I*atan(sqrt(110)*sqrt(x - 1/2)/11)/1331 + 18*sqrt(21)*I*atan(sqrt(42)*sqrt(x - 1/2)/7)/343 - 136*sqrt(2)*I/(5929*sqrt(x - 1/2)) + sqrt(2)*I/(231*(x - 1/2)**(3/2)) + sqrt(2)*I/(20*(x - 1/2)**(5/2))","C",0
2177,1,1459,0,13.389959," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**2/(3+5*x),x)","\frac{388962000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{620991360 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{194481000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{310495680 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{1361367000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{2173469760 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{680683500 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{1086734880 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{1588261500 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{2535714720 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{794130750 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{1267857360 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{617657250 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{986111280 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{308828625 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{493055640 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{34178760 \sqrt{2} \left(x - \frac{1}{2}\right)^{5}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{58794120 \sqrt{2} \left(x - \frac{1}{2}\right)^{4}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{611226 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{21551376 \sqrt{2} \left(x - \frac{1}{2}\right)^{2}}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{4067294 \sqrt{2} \left(x - \frac{1}{2}\right)}{2070833688 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 7247917908 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 8455904226 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 3288407199 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}"," ",0,"388962000*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 620991360*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 194481000*sqrt(55)*pi*(x - 1/2)**(11/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 310495680*sqrt(21)*pi*(x - 1/2)**(11/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 1361367000*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 2173469760*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 680683500*sqrt(55)*pi*(x - 1/2)**(9/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 1086734880*sqrt(21)*pi*(x - 1/2)**(9/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 1588261500*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 2535714720*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 794130750*sqrt(55)*pi*(x - 1/2)**(7/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 1267857360*sqrt(21)*pi*(x - 1/2)**(7/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 617657250*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 986111280*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 308828625*sqrt(55)*pi*(x - 1/2)**(5/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 493055640*sqrt(21)*pi*(x - 1/2)**(5/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 34178760*sqrt(2)*(x - 1/2)**5/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 58794120*sqrt(2)*(x - 1/2)**4/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 611226*sqrt(2)*(x - 1/2)**3/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) + 21551376*sqrt(2)*(x - 1/2)**2/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2)) - 4067294*sqrt(2)*(x - 1/2)/(2070833688*I*(x - 1/2)**(11/2) + 7247917908*I*(x - 1/2)**(9/2) + 8455904226*I*(x - 1/2)**(7/2) + 3288407199*I*(x - 1/2)**(5/2))","C",0
2178,-2,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**3/(3+5*x),x)","\text{Exception raised: MellinTransformStripError}"," ",0,"Exception raised: MellinTransformStripError","F(-2)",0
2179,1,5593,0,29.345833," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**4/(3+5*x),x)","- \frac{519900576814080 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{23}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{4868619539857920 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{21}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{19946011353295104 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{19}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{46692212229919872 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{68307922947692736 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{63944279656953696 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{37399144991004720 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{12489039853051608 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{1819449504656784 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{1448855905728 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{273436041032 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{3175796937600000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{5139081066746880 \sqrt{21} i \left(x - \frac{1}{2}\right)^{12} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{1587898468800000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{12}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{2569540533373440 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{12}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{33345867844800000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{53960351200842240 \sqrt{21} i \left(x - \frac{1}{2}\right)^{11} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{16672933922400000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{11}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{26980175600421120 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{11}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{155614049942400000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{251814972270597120 \sqrt{21} i \left(x - \frac{1}{2}\right)^{10} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{77807024971200000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{10}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{125907486135298560 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{10}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{423616024843200000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{685496313403292160 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{211808012421600000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{342748156701646080 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{741328043475600000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{1199618548455761280 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{370664021737800000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{599809274227880640 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{864882717388200000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{1399554973198388160 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{432441358694100000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{699777486599194080 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{672686557968600000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{1088542756932079680 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{336343278984300000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{544271378466039840 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{336343278984300000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{544271378466039840 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{168171639492150000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{272135689233019920 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{98100123037087500 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{158745818719261620 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{49050061518543750 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{79372909359630810 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{12716682615918750 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{20578161685830210 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} - \frac{6358341307959375 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}} + \frac{10289080842915105 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 676317715831296 \left(x - \frac{1}{2}\right)^{12} - 7101336016228608 \left(x - \frac{1}{2}\right)^{11} - 33139568075733504 \left(x - \frac{1}{2}\right)^{10} - 90213268650607872 \left(x - \frac{1}{2}\right)^{9} - 157873220138563776 \left(x - \frac{1}{2}\right)^{8} - 184185423494991072 \left(x - \frac{1}{2}\right)^{7} - 143255329384993056 \left(x - \frac{1}{2}\right)^{6} - 71627664692496528 \left(x - \frac{1}{2}\right)^{5} - 20891402201978154 \left(x - \frac{1}{2}\right)^{4} - 2708144729886057 \left(x - \frac{1}{2}\right)^{3}}"," ",0,"-519900576814080*sqrt(2)*I*(x - 1/2)**(23/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 4868619539857920*sqrt(2)*I*(x - 1/2)**(21/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 19946011353295104*sqrt(2)*I*(x - 1/2)**(19/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 46692212229919872*sqrt(2)*I*(x - 1/2)**(17/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 68307922947692736*sqrt(2)*I*(x - 1/2)**(15/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 63944279656953696*sqrt(2)*I*(x - 1/2)**(13/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 37399144991004720*sqrt(2)*I*(x - 1/2)**(11/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 12489039853051608*sqrt(2)*I*(x - 1/2)**(9/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 1819449504656784*sqrt(2)*I*(x - 1/2)**(7/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 1448855905728*sqrt(2)*I*(x - 1/2)**(5/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 273436041032*sqrt(2)*I*(x - 1/2)**(3/2)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 3175796937600000*sqrt(55)*I*(x - 1/2)**12*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 5139081066746880*sqrt(21)*I*(x - 1/2)**12*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 1587898468800000*sqrt(55)*I*pi*(x - 1/2)**12/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 2569540533373440*sqrt(21)*I*pi*(x - 1/2)**12/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 33345867844800000*sqrt(55)*I*(x - 1/2)**11*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 53960351200842240*sqrt(21)*I*(x - 1/2)**11*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 16672933922400000*sqrt(55)*I*pi*(x - 1/2)**11/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 26980175600421120*sqrt(21)*I*pi*(x - 1/2)**11/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 155614049942400000*sqrt(55)*I*(x - 1/2)**10*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 251814972270597120*sqrt(21)*I*(x - 1/2)**10*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 77807024971200000*sqrt(55)*I*pi*(x - 1/2)**10/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 125907486135298560*sqrt(21)*I*pi*(x - 1/2)**10/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 423616024843200000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 685496313403292160*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 211808012421600000*sqrt(55)*I*pi*(x - 1/2)**9/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 342748156701646080*sqrt(21)*I*pi*(x - 1/2)**9/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 741328043475600000*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 1199618548455761280*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 370664021737800000*sqrt(55)*I*pi*(x - 1/2)**8/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 599809274227880640*sqrt(21)*I*pi*(x - 1/2)**8/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 864882717388200000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 1399554973198388160*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 432441358694100000*sqrt(55)*I*pi*(x - 1/2)**7/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 699777486599194080*sqrt(21)*I*pi*(x - 1/2)**7/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 672686557968600000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 1088542756932079680*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 336343278984300000*sqrt(55)*I*pi*(x - 1/2)**6/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 544271378466039840*sqrt(21)*I*pi*(x - 1/2)**6/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 336343278984300000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 544271378466039840*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 168171639492150000*sqrt(55)*I*pi*(x - 1/2)**5/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 272135689233019920*sqrt(21)*I*pi*(x - 1/2)**5/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 98100123037087500*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 158745818719261620*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 49050061518543750*sqrt(55)*I*pi*(x - 1/2)**4/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 79372909359630810*sqrt(21)*I*pi*(x - 1/2)**4/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 12716682615918750*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 20578161685830210*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) - 6358341307959375*sqrt(55)*I*pi*(x - 1/2)**3/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3) + 10289080842915105*sqrt(21)*I*pi*(x - 1/2)**3/(-676317715831296*(x - 1/2)**12 - 7101336016228608*(x - 1/2)**11 - 33139568075733504*(x - 1/2)**10 - 90213268650607872*(x - 1/2)**9 - 157873220138563776*(x - 1/2)**8 - 184185423494991072*(x - 1/2)**7 - 143255329384993056*(x - 1/2)**6 - 71627664692496528*(x - 1/2)**5 - 20891402201978154*(x - 1/2)**4 - 2708144729886057*(x - 1/2)**3)","C",0
2180,-1,0,0,0.000000," ","integrate((2+3*x)**6/(1-2*x)**(5/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2181,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(5/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2182,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(5/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2183,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(5/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2184,-1,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(5/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2185,-1,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(5/2)/(3+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2186,1,2286,0,4.585181," ","integrate(1/(1-2*x)**(5/2)/(3+5*x)**2,x)","\begin{cases} \frac{15000 \sqrt{5} i \left(x + \frac{3}{5}\right)^{3} \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{7500 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(110 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{7500 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(11 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{15000 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(2 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{7500 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(10 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{15000 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(22 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{1500 \sqrt{55} i \left(x + \frac{3}{5}\right)^{2} \sqrt{10 x - 5}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{33000 \sqrt{5} i \left(x + \frac{3}{5}\right)^{2} \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{33000 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(22 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{16500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(10 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{33000 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(2 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{16500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(11 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{16500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(110 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{2200 \sqrt{55} i \left(x + \frac{3}{5}\right) \sqrt{10 x - 5}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{18150 \sqrt{5} i \left(x + \frac{3}{5}\right) \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{9075 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(110 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{9075 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(11 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{18150 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(2 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{9075 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(10 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{18150 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(22 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{363 \sqrt{55} i \sqrt{10 x - 5}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{1500 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{2}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{2200 \sqrt{55} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{363 \sqrt{55} \sqrt{5 - 10 x}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{7500 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(x + \frac{3}{5} \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{15000 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{7500 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(11 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{7500 \sqrt{5} \left(x + \frac{3}{5}\right)^{3} \log{\left(10 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{7500 \sqrt{5} i \pi \left(x + \frac{3}{5}\right)^{3}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{16500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(x + \frac{3}{5} \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{33000 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{16500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(10 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{16500 \sqrt{5} \left(x + \frac{3}{5}\right)^{2} \log{\left(11 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{16500 \sqrt{5} i \pi \left(x + \frac{3}{5}\right)^{2}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{9075 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(x + \frac{3}{5} \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{18150 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(\sqrt{\frac{5}{11} - \frac{10 x}{11}} + 1 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} - \frac{9075 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(11 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{9075 \sqrt{5} \left(x + \frac{3}{5}\right) \log{\left(10 \right)}}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} + \frac{9075 \sqrt{5} i \pi \left(x + \frac{3}{5}\right)}{399300 \sqrt{11} \left(x + \frac{3}{5}\right)^{3} - 878460 \sqrt{11} \left(x + \frac{3}{5}\right)^{2} + 483153 \sqrt{11} \left(x + \frac{3}{5}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((15000*sqrt(5)*I*(x + 3/5)**3*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 7500*sqrt(5)*(x + 3/5)**3*log(110)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 7500*sqrt(5)*(x + 3/5)**3*log(11)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 15000*sqrt(5)*(x + 3/5)**3*log(2)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 7500*sqrt(5)*(x + 3/5)**3*log(10)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 15000*sqrt(5)*(x + 3/5)**3*log(22)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 1500*sqrt(55)*I*(x + 3/5)**2*sqrt(10*x - 5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 33000*sqrt(5)*I*(x + 3/5)**2*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 33000*sqrt(5)*(x + 3/5)**2*log(22)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 16500*sqrt(5)*(x + 3/5)**2*log(10)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 33000*sqrt(5)*(x + 3/5)**2*log(2)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 16500*sqrt(5)*(x + 3/5)**2*log(11)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 16500*sqrt(5)*(x + 3/5)**2*log(110)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 2200*sqrt(55)*I*(x + 3/5)*sqrt(10*x - 5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 18150*sqrt(5)*I*(x + 3/5)*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 9075*sqrt(5)*(x + 3/5)*log(110)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 9075*sqrt(5)*(x + 3/5)*log(11)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 18150*sqrt(5)*(x + 3/5)*log(2)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 9075*sqrt(5)*(x + 3/5)*log(10)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 18150*sqrt(5)*(x + 3/5)*log(22)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 363*sqrt(55)*I*sqrt(10*x - 5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)), 10*Abs(x + 3/5)/11 > 1), (-1500*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)**2/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 2200*sqrt(55)*sqrt(5 - 10*x)*(x + 3/5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 363*sqrt(55)*sqrt(5 - 10*x)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 7500*sqrt(5)*(x + 3/5)**3*log(x + 3/5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 15000*sqrt(5)*(x + 3/5)**3*log(sqrt(5/11 - 10*x/11) + 1)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 7500*sqrt(5)*(x + 3/5)**3*log(11)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 7500*sqrt(5)*(x + 3/5)**3*log(10)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 7500*sqrt(5)*I*pi*(x + 3/5)**3/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 16500*sqrt(5)*(x + 3/5)**2*log(x + 3/5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 33000*sqrt(5)*(x + 3/5)**2*log(sqrt(5/11 - 10*x/11) + 1)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 16500*sqrt(5)*(x + 3/5)**2*log(10)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 16500*sqrt(5)*(x + 3/5)**2*log(11)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 16500*sqrt(5)*I*pi*(x + 3/5)**2/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 9075*sqrt(5)*(x + 3/5)*log(x + 3/5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 18150*sqrt(5)*(x + 3/5)*log(sqrt(5/11 - 10*x/11) + 1)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) - 9075*sqrt(5)*(x + 3/5)*log(11)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 9075*sqrt(5)*(x + 3/5)*log(10)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)) + 9075*sqrt(5)*I*pi*(x + 3/5)/(399300*sqrt(11)*(x + 3/5)**3 - 878460*sqrt(11)*(x + 3/5)**2 + 483153*sqrt(11)*(x + 3/5)), True))","C",0
2187,1,1459,0,13.097320," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)/(3+5*x)**2,x)","- \frac{1440600000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{2371842000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1185921000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{720300000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{4753980000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{7827078600 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{3913539300 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{2376990000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{5229378000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{8609786460 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{4304893230 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{2614689000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1917438600 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{3156921702 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{1578460851 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{958719300 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{378147000 \sqrt{2} \left(x - \frac{1}{2}\right)^{5}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{924754600 \sqrt{2} \left(x - \frac{1}{2}\right)^{4}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{648742710 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{83629392 \sqrt{2} \left(x - \frac{1}{2}\right)^{2}}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{15782998 \sqrt{2} \left(x - \frac{1}{2}\right)}{15065589000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 49716443700 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 54688088070 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 20052298959 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}"," ",0,"-1440600000*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 2371842000*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 1185921000*sqrt(21)*pi*(x - 1/2)**(11/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 720300000*sqrt(55)*pi*(x - 1/2)**(11/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 4753980000*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 7827078600*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 3913539300*sqrt(21)*pi*(x - 1/2)**(9/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 2376990000*sqrt(55)*pi*(x - 1/2)**(9/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 5229378000*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 8609786460*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 4304893230*sqrt(21)*pi*(x - 1/2)**(7/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 2614689000*sqrt(55)*pi*(x - 1/2)**(7/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 1917438600*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 3156921702*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 1578460851*sqrt(21)*pi*(x - 1/2)**(5/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 958719300*sqrt(55)*pi*(x - 1/2)**(5/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 378147000*sqrt(2)*(x - 1/2)**5/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 924754600*sqrt(2)*(x - 1/2)**4/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 648742710*sqrt(2)*(x - 1/2)**3/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) + 83629392*sqrt(2)*(x - 1/2)**2/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2)) - 15782998*sqrt(2)*(x - 1/2)/(15065589000*I*(x - 1/2)**(11/2) + 49716443700*I*(x - 1/2)**(9/2) + 54688088070*I*(x - 1/2)**(7/2) + 20052298959*I*(x - 1/2)**(5/2))","C",0
2188,1,3028,0,19.448494," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**2,x)","\frac{3986690400000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{22659187320000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{51564023280000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{58784347960800 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{33664789429040 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{7840313302668 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{57369762912 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{10827136628 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{23726682000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{38423840400000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{19211920200000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{11863341000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{161341437600000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{261282114720000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{130641057360000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{80670718800000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{457054984260000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{740171245572000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{370085622786000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{228527492130000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{690421840752000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{1118093908694400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{559046954347200 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{345210920376000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{586553896467000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{949886431817400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{474943215908700 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{293276948233500 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{265720384314000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{430317127270800 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{215158563635400 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{132860192157000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{50148209784750 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{81211810783950 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} - \frac{40605905391975 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}} + \frac{25074104892375 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 22779170568000 \left(x - \frac{1}{2}\right)^{9} - 154898359862400 \left(x - \frac{1}{2}\right)^{8} - 438802755708240 \left(x - \frac{1}{2}\right)^{7} - 662850240685248 \left(x - \frac{1}{2}\right)^{6} - 563130203158908 \left(x - \frac{1}{2}\right)^{5} - 255108993228936 \left(x - \frac{1}{2}\right)^{4} - 48145569800559 \left(x - \frac{1}{2}\right)^{3}}"," ",0,"3986690400000*sqrt(2)*I*(x - 1/2)**(17/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 22659187320000*sqrt(2)*I*(x - 1/2)**(15/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 51564023280000*sqrt(2)*I*(x - 1/2)**(13/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 58784347960800*sqrt(2)*I*(x - 1/2)**(11/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 33664789429040*sqrt(2)*I*(x - 1/2)**(9/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 7840313302668*sqrt(2)*I*(x - 1/2)**(7/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 57369762912*sqrt(2)*I*(x - 1/2)**(5/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 10827136628*sqrt(2)*I*(x - 1/2)**(3/2)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 23726682000000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 38423840400000*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 19211920200000*sqrt(21)*I*pi*(x - 1/2)**9/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 11863341000000*sqrt(55)*I*pi*(x - 1/2)**9/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 161341437600000*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 261282114720000*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 130641057360000*sqrt(21)*I*pi*(x - 1/2)**8/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 80670718800000*sqrt(55)*I*pi*(x - 1/2)**8/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 457054984260000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 740171245572000*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 370085622786000*sqrt(21)*I*pi*(x - 1/2)**7/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 228527492130000*sqrt(55)*I*pi*(x - 1/2)**7/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 690421840752000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 1118093908694400*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 559046954347200*sqrt(21)*I*pi*(x - 1/2)**6/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 345210920376000*sqrt(55)*I*pi*(x - 1/2)**6/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 586553896467000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 949886431817400*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 474943215908700*sqrt(21)*I*pi*(x - 1/2)**5/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 293276948233500*sqrt(55)*I*pi*(x - 1/2)**5/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 265720384314000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 430317127270800*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 215158563635400*sqrt(21)*I*pi*(x - 1/2)**4/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 132860192157000*sqrt(55)*I*pi*(x - 1/2)**4/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 50148209784750*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 81211810783950*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) - 40605905391975*sqrt(21)*I*pi*(x - 1/2)**3/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3) + 25074104892375*sqrt(55)*I*pi*(x - 1/2)**3/(-22779170568000*(x - 1/2)**9 - 154898359862400*(x - 1/2)**8 - 438802755708240*(x - 1/2)**7 - 662850240685248*(x - 1/2)**6 - 563130203158908*(x - 1/2)**5 - 255108993228936*(x - 1/2)**4 - 48145569800559*(x - 1/2)**3)","C",0
2189,1,3028,0,25.318595," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**2,x)","\frac{8587351080000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{48670545924000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{110321398202400 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{125018036238480 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{70838364022580 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{16066680171234 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{6955997664 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{883847888 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{52232040000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{84532448880000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{42266224440000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{26116020000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{355177872000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{574820652384000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{287410326192000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{177588936000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{1006163197200000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{1628376740258400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{814188370129200 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{503081598600000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{1519898197440000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{2459806599127680 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{1229903299563840 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{759949098720000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{1291242769740000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{2089750149998280 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{1044875074999140 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{645621384870000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{584958223080000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{946697679995760 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{473348839997880 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{292479111540000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{110396527395000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{178665983724690 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} - \frac{89332991862345 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}} + \frac{55198263697500 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 6508334448000 \left(x - \frac{1}{2}\right)^{9} - 44256674246400 \left(x - \frac{1}{2}\right)^{8} - 125372215916640 \left(x - \frac{1}{2}\right)^{7} - 189385783052928 \left(x - \frac{1}{2}\right)^{6} - 160894343759688 \left(x - \frac{1}{2}\right)^{5} - 72888283779696 \left(x - \frac{1}{2}\right)^{4} - 13755877085874 \left(x - \frac{1}{2}\right)^{3}}"," ",0,"8587351080000*sqrt(2)*I*(x - 1/2)**(17/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 48670545924000*sqrt(2)*I*(x - 1/2)**(15/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 110321398202400*sqrt(2)*I*(x - 1/2)**(13/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 125018036238480*sqrt(2)*I*(x - 1/2)**(11/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 70838364022580*sqrt(2)*I*(x - 1/2)**(9/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 16066680171234*sqrt(2)*I*(x - 1/2)**(7/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 6955997664*sqrt(2)*I*(x - 1/2)**(5/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 883847888*sqrt(2)*I*(x - 1/2)**(3/2)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 52232040000000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 84532448880000*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 42266224440000*sqrt(21)*I*pi*(x - 1/2)**9/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 26116020000000*sqrt(55)*I*pi*(x - 1/2)**9/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 355177872000000*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 574820652384000*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 287410326192000*sqrt(21)*I*pi*(x - 1/2)**8/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 177588936000000*sqrt(55)*I*pi*(x - 1/2)**8/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 1006163197200000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 1628376740258400*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 814188370129200*sqrt(21)*I*pi*(x - 1/2)**7/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 503081598600000*sqrt(55)*I*pi*(x - 1/2)**7/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 1519898197440000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 2459806599127680*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 1229903299563840*sqrt(21)*I*pi*(x - 1/2)**6/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 759949098720000*sqrt(55)*I*pi*(x - 1/2)**6/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 1291242769740000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 2089750149998280*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 1044875074999140*sqrt(21)*I*pi*(x - 1/2)**5/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 645621384870000*sqrt(55)*I*pi*(x - 1/2)**5/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 584958223080000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 946697679995760*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 473348839997880*sqrt(21)*I*pi*(x - 1/2)**4/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 292479111540000*sqrt(55)*I*pi*(x - 1/2)**4/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 110396527395000*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 178665983724690*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) - 89332991862345*sqrt(21)*I*pi*(x - 1/2)**3/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3) + 55198263697500*sqrt(55)*I*pi*(x - 1/2)**3/(-6508334448000*(x - 1/2)**9 - 44256674246400*(x - 1/2)**8 - 125372215916640*(x - 1/2)**7 - 189385783052928*(x - 1/2)**6 - 160894343759688*(x - 1/2)**5 - 72888283779696*(x - 1/2)**4 - 13755877085874*(x - 1/2)**3)","C",0
2190,-1,0,0,0.000000," ","integrate((2+3*x)**6/(1-2*x)**(5/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2191,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(5/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2192,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(5/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2193,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(5/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2194,-1,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(5/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2195,-1,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(5/2)/(3+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2196,1,1027,0,5.941171," ","integrate(1/(1-2*x)**(5/2)/(3+5*x)**3,x)","\begin{cases} \frac{105000 \sqrt{55} i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} + \frac{52500 \sqrt{55} \pi \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} - \frac{115500 \sqrt{55} i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}} \operatorname{acosh}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} - \frac{57750 \sqrt{55} \pi \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} - \frac{577500 \sqrt{2} i \left(x + \frac{3}{5}\right)^{77}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} + \frac{847000 \sqrt{2} i \left(x + \frac{3}{5}\right)^{76}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} - \frac{139755 \sqrt{2} i \left(x + \frac{3}{5}\right)^{75}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} - \frac{43923 \sqrt{2} i \left(x + \frac{3}{5}\right)^{74}}{- 96630600 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} + 106293660 i \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{105000 \sqrt{55} \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{96630600 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} - 106293660 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} + \frac{115500 \sqrt{55} \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}} \operatorname{asin}{\left(\frac{\sqrt{110}}{10 \sqrt{x + \frac{3}{5}}} \right)}}{96630600 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} - 106293660 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} + \frac{577500 \sqrt{2} \left(x + \frac{3}{5}\right)^{77}}{96630600 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} - 106293660 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} - \frac{847000 \sqrt{2} \left(x + \frac{3}{5}\right)^{76}}{96630600 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} - 106293660 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} + \frac{139755 \sqrt{2} \left(x + \frac{3}{5}\right)^{75}}{96630600 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} - 106293660 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} + \frac{43923 \sqrt{2} \left(x + \frac{3}{5}\right)^{74}}{96630600 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{155}{2}} - 106293660 i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{\frac{153}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((105000*sqrt(55)*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) + 52500*sqrt(55)*pi*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2)/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) - 115500*sqrt(55)*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)*acosh(sqrt(110)/(10*sqrt(x + 3/5)))/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) - 57750*sqrt(55)*pi*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) - 577500*sqrt(2)*I*(x + 3/5)**77/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) + 847000*sqrt(2)*I*(x + 3/5)**76/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) - 139755*sqrt(2)*I*(x + 3/5)**75/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) - 43923*sqrt(2)*I*(x + 3/5)**74/(-96630600*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) + 106293660*I*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)), 11/(10*Abs(x + 3/5)) > 1), (-105000*sqrt(55)*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(155/2)*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(96630600*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) - 106293660*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) + 115500*sqrt(55)*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)*asin(sqrt(110)/(10*sqrt(x + 3/5)))/(96630600*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) - 106293660*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) + 577500*sqrt(2)*(x + 3/5)**77/(96630600*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) - 106293660*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) - 847000*sqrt(2)*(x + 3/5)**76/(96630600*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) - 106293660*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) + 139755*sqrt(2)*(x + 3/5)**75/(96630600*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) - 106293660*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)) + 43923*sqrt(2)*(x + 3/5)**74/(96630600*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(155/2) - 106293660*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**(153/2)), True))","C",0
2197,1,1459,0,17.671572," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)/(3+5*x)**3,x)","\frac{96880350000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{156541572000 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{11}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{48440175000 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{78270786000 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{319705155000 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{516587187600 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{9}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{159852577500 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{258293593800 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{351675670500 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{568245906360 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{7}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{175837835250 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{284122953180 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{128947745850 \sqrt{55} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{208356832332 \sqrt{21} \left(x - \frac{1}{2}\right)^{\frac{5}{2}} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{64473872925 \sqrt{55} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{104178416166 \sqrt{21} \pi \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{15053577000 \sqrt{2} \left(x - \frac{1}{2}\right)^{5}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{31981703600 \sqrt{2} \left(x - \frac{1}{2}\right)^{4}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{16452238110 \sqrt{2} \left(x - \frac{1}{2}\right)^{3}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} + \frac{506695728 \sqrt{2} \left(x - \frac{1}{2}\right)^{2}}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}} - \frac{63131992 \sqrt{2} \left(x - \frac{1}{2}\right)}{331442958000 i \left(x - \frac{1}{2}\right)^{\frac{11}{2}} + 1093761761400 i \left(x - \frac{1}{2}\right)^{\frac{9}{2}} + 1203137937540 i \left(x - \frac{1}{2}\right)^{\frac{7}{2}} + 441150577098 i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}"," ",0,"96880350000*sqrt(55)*(x - 1/2)**(11/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 156541572000*sqrt(21)*(x - 1/2)**(11/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 48440175000*sqrt(55)*pi*(x - 1/2)**(11/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 78270786000*sqrt(21)*pi*(x - 1/2)**(11/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 319705155000*sqrt(55)*(x - 1/2)**(9/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 516587187600*sqrt(21)*(x - 1/2)**(9/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 159852577500*sqrt(55)*pi*(x - 1/2)**(9/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 258293593800*sqrt(21)*pi*(x - 1/2)**(9/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 351675670500*sqrt(55)*(x - 1/2)**(7/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 568245906360*sqrt(21)*(x - 1/2)**(7/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 175837835250*sqrt(55)*pi*(x - 1/2)**(7/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 284122953180*sqrt(21)*pi*(x - 1/2)**(7/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 128947745850*sqrt(55)*(x - 1/2)**(5/2)*atan(sqrt(110)*sqrt(x - 1/2)/11)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 208356832332*sqrt(21)*(x - 1/2)**(5/2)*atan(sqrt(42)*sqrt(x - 1/2)/7)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 64473872925*sqrt(55)*pi*(x - 1/2)**(5/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 104178416166*sqrt(21)*pi*(x - 1/2)**(5/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 15053577000*sqrt(2)*(x - 1/2)**5/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 31981703600*sqrt(2)*(x - 1/2)**4/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 16452238110*sqrt(2)*(x - 1/2)**3/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) + 506695728*sqrt(2)*(x - 1/2)**2/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2)) - 63131992*sqrt(2)*(x - 1/2)/(331442958000*I*(x - 1/2)**(11/2) + 1093761761400*I*(x - 1/2)**(9/2) + 1203137937540*I*(x - 1/2)**(7/2) + 441150577098*I*(x - 1/2)**(5/2))","C",0
2198,1,3028,0,24.411600," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**3,x)","- \frac{376926608520000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{2135605689756000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{4838544255837600 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{5479255948116720 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{3100767153386980 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{700998571871598 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{347593269408 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{43308546512 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{2298376458000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{3719427750720000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{1149188229000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{1859713875360000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{15628959914400000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{25292108704896000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{7814479957200000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{12646054352448000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{44274391835940000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{71648576571369600 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{22137195917970000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{35824288285684800 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{66880371426288000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{108231490361617920 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{33440185713144000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{54115745180808960 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{56818802856123000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{91949006599924320 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{28409401428061500 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{45974503299962160 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{25740028703466000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{41654697919813440 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{12870014351733000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{20827348959906720 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{4857799534722750 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{7861303283886360 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{2428899767361375 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{3930651641943180 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}}"," ",0,"-376926608520000*sqrt(2)*I*(x - 1/2)**(17/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 2135605689756000*sqrt(2)*I*(x - 1/2)**(15/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 4838544255837600*sqrt(2)*I*(x - 1/2)**(13/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 5479255948116720*sqrt(2)*I*(x - 1/2)**(11/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 3100767153386980*sqrt(2)*I*(x - 1/2)**(9/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 700998571871598*sqrt(2)*I*(x - 1/2)**(7/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 347593269408*sqrt(2)*I*(x - 1/2)**(5/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 43308546512*sqrt(2)*I*(x - 1/2)**(3/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 2298376458000000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 3719427750720000*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 1149188229000000*sqrt(55)*I*pi*(x - 1/2)**9/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 1859713875360000*sqrt(21)*I*pi*(x - 1/2)**9/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 15628959914400000*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 25292108704896000*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 7814479957200000*sqrt(55)*I*pi*(x - 1/2)**8/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 12646054352448000*sqrt(21)*I*pi*(x - 1/2)**8/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 44274391835940000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 71648576571369600*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 22137195917970000*sqrt(55)*I*pi*(x - 1/2)**7/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 35824288285684800*sqrt(21)*I*pi*(x - 1/2)**7/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 66880371426288000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 108231490361617920*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 33440185713144000*sqrt(55)*I*pi*(x - 1/2)**6/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 54115745180808960*sqrt(21)*I*pi*(x - 1/2)**6/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 56818802856123000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 91949006599924320*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 28409401428061500*sqrt(55)*I*pi*(x - 1/2)**5/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 45974503299962160*sqrt(21)*I*pi*(x - 1/2)**5/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 25740028703466000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 41654697919813440*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 12870014351733000*sqrt(55)*I*pi*(x - 1/2)**4/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 20827348959906720*sqrt(21)*I*pi*(x - 1/2)**4/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 4857799534722750*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 7861303283886360*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 2428899767361375*sqrt(55)*I*pi*(x - 1/2)**3/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 3930651641943180*sqrt(21)*I*pi*(x - 1/2)**3/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3)","C",0
2199,1,3028,0,30.114356," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**3,x)","- \frac{3868311142080000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{17}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{21920924557224000 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{15}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{49676964263942400 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{13}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{56275446111672480 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{11}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{31867497856150880 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{9}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{7216395978913044 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{7}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{131130886656 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{5}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{12373870432 \sqrt{2} i \left(x - \frac{1}{2}\right)^{\frac{3}{2}}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{23557483530000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{38124134444880000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{9} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{11778741765000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{19062067222440000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{9}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{160190888004000000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{259244114225184000 \sqrt{21} i \left(x - \frac{1}{2}\right)^{8} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{80095444002000000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{129622057112592000 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{8}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{453795657732900000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{734397909856538400 \sqrt{21} i \left(x - \frac{1}{2}\right)^{7} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{226897828866450000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{367198954928269200 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{7}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{685498340740080000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{1109372776206583680 \sqrt{21} i \left(x - \frac{1}{2}\right)^{6} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{342749170370040000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{554686388103291840 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{6}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{582371094090555000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{942477317649224280 \sqrt{21} i \left(x - \frac{1}{2}\right)^{5} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{291185547045277500 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{471238658824612140 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{5}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{263825493048810000 \sqrt{55} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{426960653678087760 \sqrt{21} i \left(x - \frac{1}{2}\right)^{4} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{131912746524405000 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{213480326839043880 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{4}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{49790595501858750 \sqrt{55} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{110} \sqrt{x - \frac{1}{2}}}{11} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{80578358659835190 \sqrt{21} i \left(x - \frac{1}{2}\right)^{3} \operatorname{atan}{\left(\frac{\sqrt{42} \sqrt{x - \frac{1}{2}}}{7} \right)}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} - \frac{24895297750929375 \sqrt{55} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}} + \frac{40289179329917595 \sqrt{21} i \pi \left(x - \frac{1}{2}\right)^{3}}{- 501141752496000 \left(x - \frac{1}{2}\right)^{9} - 3407763916972800 \left(x - \frac{1}{2}\right)^{8} - 9653660625581280 \left(x - \frac{1}{2}\right)^{7} - 14582705295075456 \left(x - \frac{1}{2}\right)^{6} - 12388864469495976 \left(x - \frac{1}{2}\right)^{5} - 5612397851036592 \left(x - \frac{1}{2}\right)^{4} - 1059202535612298 \left(x - \frac{1}{2}\right)^{3}}"," ",0,"-3868311142080000*sqrt(2)*I*(x - 1/2)**(17/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 21920924557224000*sqrt(2)*I*(x - 1/2)**(15/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 49676964263942400*sqrt(2)*I*(x - 1/2)**(13/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 56275446111672480*sqrt(2)*I*(x - 1/2)**(11/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 31867497856150880*sqrt(2)*I*(x - 1/2)**(9/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 7216395978913044*sqrt(2)*I*(x - 1/2)**(7/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 131130886656*sqrt(2)*I*(x - 1/2)**(5/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 12373870432*sqrt(2)*I*(x - 1/2)**(3/2)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 23557483530000000*sqrt(55)*I*(x - 1/2)**9*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 38124134444880000*sqrt(21)*I*(x - 1/2)**9*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 11778741765000000*sqrt(55)*I*pi*(x - 1/2)**9/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 19062067222440000*sqrt(21)*I*pi*(x - 1/2)**9/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 160190888004000000*sqrt(55)*I*(x - 1/2)**8*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 259244114225184000*sqrt(21)*I*(x - 1/2)**8*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 80095444002000000*sqrt(55)*I*pi*(x - 1/2)**8/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 129622057112592000*sqrt(21)*I*pi*(x - 1/2)**8/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 453795657732900000*sqrt(55)*I*(x - 1/2)**7*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 734397909856538400*sqrt(21)*I*(x - 1/2)**7*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 226897828866450000*sqrt(55)*I*pi*(x - 1/2)**7/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 367198954928269200*sqrt(21)*I*pi*(x - 1/2)**7/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 685498340740080000*sqrt(55)*I*(x - 1/2)**6*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 1109372776206583680*sqrt(21)*I*(x - 1/2)**6*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 342749170370040000*sqrt(55)*I*pi*(x - 1/2)**6/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 554686388103291840*sqrt(21)*I*pi*(x - 1/2)**6/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 582371094090555000*sqrt(55)*I*(x - 1/2)**5*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 942477317649224280*sqrt(21)*I*(x - 1/2)**5*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 291185547045277500*sqrt(55)*I*pi*(x - 1/2)**5/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 471238658824612140*sqrt(21)*I*pi*(x - 1/2)**5/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 263825493048810000*sqrt(55)*I*(x - 1/2)**4*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 426960653678087760*sqrt(21)*I*(x - 1/2)**4*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 131912746524405000*sqrt(55)*I*pi*(x - 1/2)**4/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 213480326839043880*sqrt(21)*I*pi*(x - 1/2)**4/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 49790595501858750*sqrt(55)*I*(x - 1/2)**3*atan(sqrt(110)*sqrt(x - 1/2)/11)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 80578358659835190*sqrt(21)*I*(x - 1/2)**3*atan(sqrt(42)*sqrt(x - 1/2)/7)/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) - 24895297750929375*sqrt(55)*I*pi*(x - 1/2)**3/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3) + 40289179329917595*sqrt(21)*I*pi*(x - 1/2)**3/(-501141752496000*(x - 1/2)**9 - 3407763916972800*(x - 1/2)**8 - 9653660625581280*(x - 1/2)**7 - 14582705295075456*(x - 1/2)**6 - 12388864469495976*(x - 1/2)**5 - 5612397851036592*(x - 1/2)**4 - 1059202535612298*(x - 1/2)**3)","C",0
2200,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(5/2)*(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2201,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(3/2)*(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2202,0,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)*(e*x+d)**(1/2),x)","\int \left(A + B x\right) \sqrt{a + b x} \sqrt{d + e x}\, dx"," ",0,"Integral((A + B*x)*sqrt(a + b*x)*sqrt(d + e*x), x)","F",0
2203,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2204,0,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(3/2),x)","\int \frac{\left(A + B x\right) \sqrt{a + b x}}{\left(d + e x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x)*sqrt(a + b*x)/(d + e*x)**(3/2), x)","F",0
2205,0,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(5/2),x)","\int \frac{\left(A + B x\right) \sqrt{a + b x}}{\left(d + e x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((A + B*x)*sqrt(a + b*x)/(d + e*x)**(5/2), x)","F",0
2206,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2207,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2208,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2209,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2210,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)**(1/2)/(e*x+d)**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2211,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)*(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2212,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)*(e*x+d)**(3/2),x)","\int \left(A + B x\right) \left(a + b x\right)^{\frac{3}{2}} \left(d + e x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((A + B*x)*(a + b*x)**(3/2)*(d + e*x)**(3/2), x)","F",0
2213,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)*(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2214,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2215,0,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(3/2),x)","\int \frac{\left(A + B x\right) \left(a + b x\right)^{\frac{3}{2}}}{\left(d + e x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x)*(a + b*x)**(3/2)/(d + e*x)**(3/2), x)","F",0
2216,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2217,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2218,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2219,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2220,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2221,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2222,-1,0,0,0.000000," ","integrate((b*x+a)**(3/2)*(B*x+A)/(e*x+d)**(17/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2223,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)*(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2224,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)*(e*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2225,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)*(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2226,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2227,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2228,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2229,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2230,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2231,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2232,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2233,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2234,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(17/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2235,-1,0,0,0.000000," ","integrate((b*x+a)**(5/2)*(B*x+A)/(e*x+d)**(19/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2236,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(5/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2237,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(3/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2238,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(1/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2239,0,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(1/2)/(e*x+d)**(1/2),x)","\int \frac{A + B x}{\sqrt{a + b x} \sqrt{d + e x}}\, dx"," ",0,"Integral((A + B*x)/(sqrt(a + b*x)*sqrt(d + e*x)), x)","F",0
2240,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{A + B x}{\sqrt{a + b x} \left(d + e x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x)/(sqrt(a + b*x)*(d + e*x)**(3/2)), x)","F",0
2241,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)**(5/2)/(b*x+a)**(1/2),x)","\int \frac{A + B x}{\sqrt{a + b x} \left(d + e x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((A + B*x)/(sqrt(a + b*x)*(d + e*x)**(5/2)), x)","F",0
2242,-1,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)**(7/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2243,-1,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)**(9/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2244,-1,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)**(11/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2245,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(5/2)/(b*x+a)**(3/2),x)","\int \frac{\left(A + B x\right) \left(d + e x\right)^{\frac{5}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x)*(d + e*x)**(5/2)/(a + b*x)**(3/2), x)","F",0
2246,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(3/2)/(b*x+a)**(3/2),x)","\int \frac{\left(A + B x\right) \left(d + e x\right)^{\frac{3}{2}}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x)*(d + e*x)**(3/2)/(a + b*x)**(3/2), x)","F",0
2247,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(1/2)/(b*x+a)**(3/2),x)","\int \frac{\left(A + B x\right) \sqrt{d + e x}}{\left(a + b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x)*sqrt(d + e*x)/(a + b*x)**(3/2), x)","F",0
2248,0,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(3/2)/(e*x+d)**(1/2),x)","\int \frac{A + B x}{\left(a + b x\right)^{\frac{3}{2}} \sqrt{d + e x}}\, dx"," ",0,"Integral((A + B*x)/((a + b*x)**(3/2)*sqrt(d + e*x)), x)","F",0
2249,0,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(3/2)/(e*x+d)**(3/2),x)","\int \frac{A + B x}{\left(a + b x\right)^{\frac{3}{2}} \left(d + e x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*x)/((a + b*x)**(3/2)*(d + e*x)**(3/2)), x)","F",0
2250,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(3/2)/(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2251,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(3/2)/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2252,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(3/2)/(e*x+d)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2253,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(7/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2254,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(5/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2255,-1,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(3/2)/(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2256,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**(1/2)/(b*x+a)**(5/2),x)","\int \frac{\left(A + B x\right) \sqrt{d + e x}}{\left(a + b x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((A + B*x)*sqrt(d + e*x)/(a + b*x)**(5/2), x)","F",0
2257,0,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(5/2)/(e*x+d)**(1/2),x)","\int \frac{A + B x}{\left(a + b x\right)^{\frac{5}{2}} \sqrt{d + e x}}\, dx"," ",0,"Integral((A + B*x)/((a + b*x)**(5/2)*sqrt(d + e*x)), x)","F",0
2258,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(5/2)/(e*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2259,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(5/2)/(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2260,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(5/2)/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2261,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(5/2)/(e*x+d)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2262,-1,0,0,0.000000," ","integrate((2+3*x)**4*(1-2*x)**(1/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2263,-1,0,0,0.000000," ","integrate((2+3*x)**3*(1-2*x)**(1/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2264,-1,0,0,0.000000," ","integrate((2+3*x)**2*(1-2*x)**(1/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2265,1,168,0,127.445374," ","integrate((2+3*x)*(1-2*x)**(1/2)*(3+5*x)**(1/2),x)","- \frac{7 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{121} + \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}\right)}{200} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4} + \frac{3 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4}"," ",0,"-7*sqrt(2)*Piecewise((121*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/121 + asin(sqrt(55)*sqrt(1 - 2*x)/11))/200, (x <= 1/2) & (x > -3/5)))/4 + 3*sqrt(2)*Piecewise((1331*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/125, (x <= 1/2) & (x > -3/5)))/4","A",0
2266,1,184,0,2.621529," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2),x)","\begin{cases} \frac{5 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{\sqrt{10 x - 5}} - \frac{33 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{4 \sqrt{10 x - 5}} + \frac{121 i \sqrt{x + \frac{3}{5}}}{40 \sqrt{10 x - 5}} - \frac{121 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{400} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{121 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{400} - \frac{5 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{\sqrt{5 - 10 x}} + \frac{33 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{4 \sqrt{5 - 10 x}} - \frac{121 \sqrt{x + \frac{3}{5}}}{40 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*I*(x + 3/5)**(5/2)/sqrt(10*x - 5) - 33*I*(x + 3/5)**(3/2)/(4*sqrt(10*x - 5)) + 121*I*sqrt(x + 3/5)/(40*sqrt(10*x - 5)) - 121*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/400, 10*Abs(x + 3/5)/11 > 1), (121*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/400 - 5*(x + 3/5)**(5/2)/sqrt(5 - 10*x) + 33*(x + 3/5)**(3/2)/(4*sqrt(5 - 10*x)) - 121*sqrt(x + 3/5)/(40*sqrt(5 - 10*x)), True))","A",0
2267,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x),x)","\int \frac{\sqrt{1 - 2 x} \sqrt{5 x + 3}}{3 x + 2}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(5*x + 3)/(3*x + 2), x)","F",0
2268,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**2,x)","\int \frac{\sqrt{1 - 2 x} \sqrt{5 x + 3}}{\left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(5*x + 3)/(3*x + 2)**2, x)","F",0
2269,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**3,x)","\int \frac{\sqrt{1 - 2 x} \sqrt{5 x + 3}}{\left(3 x + 2\right)^{3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(5*x + 3)/(3*x + 2)**3, x)","F",0
2270,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**4,x)","\int \frac{\sqrt{1 - 2 x} \sqrt{5 x + 3}}{\left(3 x + 2\right)^{4}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(5*x + 3)/(3*x + 2)**4, x)","F",0
2271,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2272,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**6,x)","\int \frac{\sqrt{1 - 2 x} \sqrt{5 x + 3}}{\left(3 x + 2\right)^{6}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(5*x + 3)/(3*x + 2)**6, x)","F",0
2273,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2274,-1,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(3/2)*(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2275,1,694,0,119.741517," ","integrate((2+3*x)**3*(3+5*x)**(3/2)*(1-2*x)**(1/2),x)","- \frac{3773 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{121} + \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}\right)}{200} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{32} + \frac{3283 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} - \frac{1071 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{8} + \frac{621 \sqrt{2} \left(\begin{cases} \frac{161051 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{5}{2}} \left(10 x + 6\right)^{\frac{5}{2}}}{322102} - \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{7744} - \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{256}\right)}{3125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} - \frac{135 \sqrt{2} \left(\begin{cases} \frac{1771561 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{5}{2}} \left(10 x + 6\right)^{\frac{5}{2}}}{161051} + \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}} \left(20 x + 1\right)^{3}}{170069856} - \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{15488} - \frac{13 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{14992384} + \frac{21 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{1024}\right)}{15625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{32}"," ",0,"-3773*sqrt(2)*Piecewise((121*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/121 + asin(sqrt(55)*sqrt(1 - 2*x)/11))/200, (x <= 1/2) & (x > -3/5)))/32 + 3283*sqrt(2)*Piecewise((1331*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/125, (x <= 1/2) & (x > -3/5)))/16 - 1071*sqrt(2)*Piecewise((14641*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/625, (x <= 1/2) & (x > -3/5)))/8 + 621*sqrt(2)*Piecewise((161051*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(5/2)*(10*x + 6)**(5/2)/322102 - 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/7744 - 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/3748096 + 7*asin(sqrt(55)*sqrt(1 - 2*x)/11)/256)/3125, (x <= 1/2) & (x > -3/5)))/16 - 135*sqrt(2)*Piecewise((1771561*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(5/2)*(10*x + 6)**(5/2)/161051 + 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)*(20*x + 1)**3/170069856 - 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/15488 - 13*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/14992384 + 21*asin(sqrt(55)*sqrt(1 - 2*x)/11)/1024)/15625, (x <= 1/2) & (x > -3/5)))/32","A",0
2276,1,488,0,68.648045," ","integrate((2+3*x)**2*(3+5*x)**(3/2)*(1-2*x)**(1/2),x)","- \frac{539 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{121} + \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}\right)}{200} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} + \frac{707 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} - \frac{309 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} + \frac{45 \sqrt{2} \left(\begin{cases} \frac{161051 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{5}{2}} \left(10 x + 6\right)^{\frac{5}{2}}}{322102} - \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{7744} - \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{256}\right)}{3125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16}"," ",0,"-539*sqrt(2)*Piecewise((121*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/121 + asin(sqrt(55)*sqrt(1 - 2*x)/11))/200, (x <= 1/2) & (x > -3/5)))/16 + 707*sqrt(2)*Piecewise((1331*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/125, (x <= 1/2) & (x > -3/5)))/16 - 309*sqrt(2)*Piecewise((14641*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/625, (x <= 1/2) & (x > -3/5)))/16 + 45*sqrt(2)*Piecewise((161051*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(5/2)*(10*x + 6)**(5/2)/322102 - 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/7744 - 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/3748096 + 7*asin(sqrt(55)*sqrt(1 - 2*x)/11)/256)/3125, (x <= 1/2) & (x > -3/5)))/16","A",0
2277,1,314,0,37.589384," ","integrate((2+3*x)*(3+5*x)**(3/2)*(1-2*x)**(1/2),x)","- \frac{77 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{121} + \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}\right)}{200} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{8} + \frac{17 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2} - \frac{15 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{8}"," ",0,"-77*sqrt(2)*Piecewise((121*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/121 + asin(sqrt(55)*sqrt(1 - 2*x)/11))/200, (x <= 1/2) & (x > -3/5)))/8 + 17*sqrt(2)*Piecewise((1331*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/125, (x <= 1/2) & (x > -3/5)))/2 - 15*sqrt(2)*Piecewise((14641*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/625, (x <= 1/2) & (x > -3/5)))/8","A",0
2278,1,230,0,4.719987," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2),x)","\begin{cases} \frac{50 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{10 x - 5}} - \frac{275 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{12 \sqrt{10 x - 5}} - \frac{121 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{48 \sqrt{10 x - 5}} + \frac{1331 i \sqrt{x + \frac{3}{5}}}{160 \sqrt{10 x - 5}} - \frac{1331 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{1600} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{1331 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{1600} - \frac{50 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{5 - 10 x}} + \frac{275 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{12 \sqrt{5 - 10 x}} + \frac{121 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{48 \sqrt{5 - 10 x}} - \frac{1331 \sqrt{x + \frac{3}{5}}}{160 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((50*I*(x + 3/5)**(7/2)/(3*sqrt(10*x - 5)) - 275*I*(x + 3/5)**(5/2)/(12*sqrt(10*x - 5)) - 121*I*(x + 3/5)**(3/2)/(48*sqrt(10*x - 5)) + 1331*I*sqrt(x + 3/5)/(160*sqrt(10*x - 5)) - 1331*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/1600, 10*Abs(x + 3/5)/11 > 1), (1331*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/1600 - 50*(x + 3/5)**(7/2)/(3*sqrt(5 - 10*x)) + 275*(x + 3/5)**(5/2)/(12*sqrt(5 - 10*x)) + 121*(x + 3/5)**(3/2)/(48*sqrt(5 - 10*x)) - 1331*sqrt(x + 3/5)/(160*sqrt(5 - 10*x)), True))","A",0
2279,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x),x)","\int \frac{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}{3 x + 2}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(5*x + 3)**(3/2)/(3*x + 2), x)","F",0
2280,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**2,x)","\int \frac{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}{\left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(5*x + 3)**(3/2)/(3*x + 2)**2, x)","F",0
2281,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**3,x)","\int \frac{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}{\left(3 x + 2\right)^{3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(5*x + 3)**(3/2)/(3*x + 2)**3, x)","F",0
2282,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2283,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2284,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2285,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2286,-1,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(5/2)*(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2287,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(5/2)*(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2288,1,694,0,121.608871," ","integrate((2+3*x)**2*(3+5*x)**(5/2)*(1-2*x)**(1/2),x)","- \frac{5929 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{121} + \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}\right)}{200} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{32} + \frac{1309 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4} - \frac{3467 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} + \frac{255 \sqrt{2} \left(\begin{cases} \frac{161051 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{5}{2}} \left(10 x + 6\right)^{\frac{5}{2}}}{322102} - \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{7744} - \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{256}\right)}{3125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4} - \frac{225 \sqrt{2} \left(\begin{cases} \frac{1771561 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{5}{2}} \left(10 x + 6\right)^{\frac{5}{2}}}{161051} + \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}} \left(20 x + 1\right)^{3}}{170069856} - \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{15488} - \frac{13 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{14992384} + \frac{21 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{1024}\right)}{15625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{32}"," ",0,"-5929*sqrt(2)*Piecewise((121*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/121 + asin(sqrt(55)*sqrt(1 - 2*x)/11))/200, (x <= 1/2) & (x > -3/5)))/32 + 1309*sqrt(2)*Piecewise((1331*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/125, (x <= 1/2) & (x > -3/5)))/4 - 3467*sqrt(2)*Piecewise((14641*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/625, (x <= 1/2) & (x > -3/5)))/16 + 255*sqrt(2)*Piecewise((161051*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(5/2)*(10*x + 6)**(5/2)/322102 - 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/7744 - 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/3748096 + 7*asin(sqrt(55)*sqrt(1 - 2*x)/11)/256)/3125, (x <= 1/2) & (x > -3/5)))/4 - 225*sqrt(2)*Piecewise((1771561*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(5/2)*(10*x + 6)**(5/2)/161051 + 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)*(20*x + 1)**3/170069856 - 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/15488 - 13*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/14992384 + 21*asin(sqrt(55)*sqrt(1 - 2*x)/11)/1024)/15625, (x <= 1/2) & (x > -3/5)))/32","A",0
2289,1,488,0,73.284357," ","integrate((2+3*x)*(3+5*x)**(5/2)*(1-2*x)**(1/2),x)","- \frac{847 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{121} + \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}\right)}{200} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} + \frac{1133 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} - \frac{505 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(- \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16} + \frac{75 \sqrt{2} \left(\begin{cases} \frac{161051 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{5}{2}} \left(10 x + 6\right)^{\frac{5}{2}}}{322102} - \frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{7744} - \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{256}\right)}{3125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{16}"," ",0,"-847*sqrt(2)*Piecewise((121*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/121 + asin(sqrt(55)*sqrt(1 - 2*x)/11))/200, (x <= 1/2) & (x > -3/5)))/16 + 1133*sqrt(2)*Piecewise((1331*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/125, (x <= 1/2) & (x > -3/5)))/16 - 505*sqrt(2)*Piecewise((14641*sqrt(5)*(-5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/625, (x <= 1/2) & (x > -3/5)))/16 + 75*sqrt(2)*Piecewise((161051*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(5/2)*(10*x + 6)**(5/2)/322102 - 5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/7744 - 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/3748096 + 7*asin(sqrt(55)*sqrt(1 - 2*x)/11)/256)/3125, (x <= 1/2) & (x > -3/5)))/16","A",0
2290,1,272,0,9.708748," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2),x)","\begin{cases} \frac{125 i \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{2 \sqrt{10 x - 5}} - \frac{1925 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{24 \sqrt{10 x - 5}} - \frac{605 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{192 \sqrt{10 x - 5}} - \frac{6655 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{768 \sqrt{10 x - 5}} + \frac{14641 i \sqrt{x + \frac{3}{5}}}{512 \sqrt{10 x - 5}} - \frac{14641 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{5120} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{14641 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{5120} - \frac{125 \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{2 \sqrt{5 - 10 x}} + \frac{1925 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{24 \sqrt{5 - 10 x}} + \frac{605 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{192 \sqrt{5 - 10 x}} + \frac{6655 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{768 \sqrt{5 - 10 x}} - \frac{14641 \sqrt{x + \frac{3}{5}}}{512 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((125*I*(x + 3/5)**(9/2)/(2*sqrt(10*x - 5)) - 1925*I*(x + 3/5)**(7/2)/(24*sqrt(10*x - 5)) - 605*I*(x + 3/5)**(5/2)/(192*sqrt(10*x - 5)) - 6655*I*(x + 3/5)**(3/2)/(768*sqrt(10*x - 5)) + 14641*I*sqrt(x + 3/5)/(512*sqrt(10*x - 5)) - 14641*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/5120, 10*Abs(x + 3/5)/11 > 1), (14641*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/5120 - 125*(x + 3/5)**(9/2)/(2*sqrt(5 - 10*x)) + 1925*(x + 3/5)**(7/2)/(24*sqrt(5 - 10*x)) + 605*(x + 3/5)**(5/2)/(192*sqrt(5 - 10*x)) + 6655*(x + 3/5)**(3/2)/(768*sqrt(5 - 10*x)) - 14641*sqrt(x + 3/5)/(512*sqrt(5 - 10*x)), True))","A",0
2291,0,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x),x)","\int \frac{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{5}{2}}}{3 x + 2}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(5*x + 3)**(5/2)/(3*x + 2), x)","F",0
2292,0,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**2,x)","\int \frac{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{5}{2}}}{\left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(5*x + 3)**(5/2)/(3*x + 2)**2, x)","F",0
2293,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2294,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2295,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2296,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2297,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2298,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2299,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/(f*x+e)/(d*x+c)**(1/2),x)","\int \frac{\sqrt{a + b x}}{\sqrt{c + d x} \left(e + f x\right)}\, dx"," ",0,"Integral(sqrt(a + b*x)/(sqrt(c + d*x)*(e + f*x)), x)","F",0
2300,0,0,0,0.000000," ","integrate((d*x+c)**(1/2)/(f*x+e)/(b*x+a)**(1/2),x)","\int \frac{\sqrt{c + d x}}{\sqrt{a + b x} \left(e + f x\right)}\, dx"," ",0,"Integral(sqrt(c + d*x)/(sqrt(a + b*x)*(e + f*x)), x)","F",0
2301,1,462,0,36.201174," ","integrate((2+3*x)**3*(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","- \frac{343 \sqrt{2} \left(\begin{cases} \frac{11 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{2}\right)}{25} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{8} + \frac{441 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(\frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{968} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{8}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{8} - \frac{189 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} + \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{8} + \frac{27 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{3993} + \frac{7 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} + \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{3125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{8}"," ",0,"-343*sqrt(2)*Piecewise((11*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/2)/25, (x <= 1/2) & (x > -3/5)))/8 + 441*sqrt(2)*Piecewise((121*sqrt(5)*(sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/968 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 3*asin(sqrt(55)*sqrt(1 - 2*x)/11)/8)/125, (x <= 1/2) & (x > -3/5)))/8 - 189*sqrt(2)*Piecewise((1331*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 + 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/625, (x <= 1/2) & (x > -3/5)))/8 + 27*sqrt(2)*Piecewise((14641*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/3993 + 7*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 + sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 35*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/3125, (x <= 1/2) & (x > -3/5)))/8","A",0
2302,1,291,0,19.962797," ","integrate((2+3*x)**2*(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","- \frac{49 \sqrt{2} \left(\begin{cases} \frac{11 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{2}\right)}{25} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4} + \frac{21 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(\frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{968} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{8}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2} - \frac{9 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} + \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4}"," ",0,"-49*sqrt(2)*Piecewise((11*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/2)/25, (x <= 1/2) & (x > -3/5)))/4 + 21*sqrt(2)*Piecewise((121*sqrt(5)*(sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/968 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 3*asin(sqrt(55)*sqrt(1 - 2*x)/11)/8)/125, (x <= 1/2) & (x > -3/5)))/2 - 9*sqrt(2)*Piecewise((1331*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 + 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/625, (x <= 1/2) & (x > -3/5)))/4","A",0
2303,1,165,0,9.432524," ","integrate((2+3*x)*(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","- \frac{7 \sqrt{2} \left(\begin{cases} \frac{11 \sqrt{5} \left(- \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{\operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{2}\right)}{25} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2} + \frac{3 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(\frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{968} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{8}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2}"," ",0,"-7*sqrt(2)*Piecewise((11*sqrt(5)*(-sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + asin(sqrt(55)*sqrt(1 - 2*x)/11)/2)/25, (x <= 1/2) & (x > -3/5)))/2 + 3*sqrt(2)*Piecewise((121*sqrt(5)*(sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/968 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 3*asin(sqrt(55)*sqrt(1 - 2*x)/11)/8)/125, (x <= 1/2) & (x > -3/5)))/2","A",0
2304,1,141,0,1.632648," ","integrate((1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\begin{cases} \frac{2 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{\sqrt{10 x - 5}} - \frac{11 i \sqrt{x + \frac{3}{5}}}{5 \sqrt{10 x - 5}} - \frac{11 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{50} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{11 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{50} - \frac{2 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{\sqrt{5 - 10 x}} + \frac{11 \sqrt{x + \frac{3}{5}}}{5 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*I*(x + 3/5)**(3/2)/sqrt(10*x - 5) - 11*I*sqrt(x + 3/5)/(5*sqrt(10*x - 5)) - 11*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/50, 10*Abs(x + 3/5)/11 > 1), (11*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/50 - 2*(x + 3/5)**(3/2)/sqrt(5 - 10*x) + 11*sqrt(x + 3/5)/(5*sqrt(5 - 10*x)), True))","A",0
2305,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)/(3+5*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x}}{\left(3 x + 2\right) \sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/((3*x + 2)*sqrt(5*x + 3)), x)","F",0
2306,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**2/(3+5*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x}}{\left(3 x + 2\right)^{2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/((3*x + 2)**2*sqrt(5*x + 3)), x)","F",0
2307,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**3/(3+5*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x}}{\left(3 x + 2\right)^{3} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/((3*x + 2)**3*sqrt(5*x + 3)), x)","F",0
2308,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**4/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2309,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**5/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2310,0,0,0,0.000000," ","integrate((2+3*x)**3*(1-2*x)**(1/2)/(3+5*x)**(3/2),x)","\int \frac{\sqrt{1 - 2 x} \left(3 x + 2\right)^{3}}{\left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(3*x + 2)**3/(5*x + 3)**(3/2), x)","F",0
2311,0,0,0,0.000000," ","integrate((2+3*x)**2*(1-2*x)**(1/2)/(3+5*x)**(3/2),x)","\int \frac{\sqrt{1 - 2 x} \left(3 x + 2\right)^{2}}{\left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(3*x + 2)**2/(5*x + 3)**(3/2), x)","F",0
2312,0,0,0,0.000000," ","integrate((2+3*x)*(1-2*x)**(1/2)/(3+5*x)**(3/2),x)","\int \frac{\sqrt{1 - 2 x} \left(3 x + 2\right)}{\left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(3*x + 2)/(5*x + 3)**(3/2), x)","F",0
2313,1,151,0,1.548916," ","integrate((1-2*x)**(1/2)/(3+5*x)**(3/2),x)","\begin{cases} - \frac{2 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{25} - \frac{\sqrt{10} i \log{\left(\frac{1}{x + \frac{3}{5}} \right)}}{25} - \frac{\sqrt{10} i \log{\left(x + \frac{3}{5} \right)}}{25} - \frac{2 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{25} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{2 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{25} - \frac{\sqrt{10} i \log{\left(\frac{1}{x + \frac{3}{5}} \right)}}{25} + \frac{2 \sqrt{10} i \log{\left(\sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} + 1 \right)}}{25} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/25 - sqrt(10)*I*log(1/(x + 3/5))/25 - sqrt(10)*I*log(x + 3/5)/25 - 2*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/25, 11/(10*Abs(x + 3/5)) > 1), (-2*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/25 - sqrt(10)*I*log(1/(x + 3/5))/25 + 2*sqrt(10)*I*log(sqrt(1 - 11/(10*(x + 3/5))) + 1)/25, True))","C",0
2314,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)/(3+5*x)**(3/2),x)","\int \frac{\sqrt{1 - 2 x}}{\left(3 x + 2\right) \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/((3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2315,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**2/(3+5*x)**(3/2),x)","\int \frac{\sqrt{1 - 2 x}}{\left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/((3*x + 2)**2*(5*x + 3)**(3/2)), x)","F",0
2316,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**3/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2317,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**4/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2318,-1,0,0,0.000000," ","integrate((2+3*x)**4*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2319,-1,0,0,0.000000," ","integrate((2+3*x)**3*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2320,0,0,0,0.000000," ","integrate((2+3*x)**2*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\int \frac{\sqrt{1 - 2 x} \left(3 x + 2\right)^{2}}{\left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(3*x + 2)**2/(5*x + 3)**(5/2), x)","F",0
2321,0,0,0,0.000000," ","integrate((2+3*x)*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\int \frac{\sqrt{1 - 2 x} \left(3 x + 2\right)}{\left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(3*x + 2)/(5*x + 3)**(5/2), x)","F",0
2322,1,99,0,1.681862," ","integrate((1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\begin{cases} \frac{4 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{825} - \frac{2 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{375 \left(x + \frac{3}{5}\right)} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{4 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{825} - \frac{2 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{375 \left(x + \frac{3}{5}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/825 - 2*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(375*(x + 3/5)), 11/(10*Abs(x + 3/5)) > 1), (4*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/825 - 2*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(375*(x + 3/5)), True))","B",0
2323,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)/(3+5*x)**(5/2),x)","\int \frac{\sqrt{1 - 2 x}}{\left(3 x + 2\right) \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/((3*x + 2)*(5*x + 3)**(5/2)), x)","F",0
2324,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**2/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2325,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**3/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2326,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**4/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2327,1,695,0,124.091029," ","integrate((1-2*x)**(3/2)*(2+3*x)**3*(3+5*x)**(1/2),x)","\frac{22 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{121} + \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} + \frac{194 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} + \frac{558 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} + \frac{486 \sqrt{5} \left(\begin{cases} \frac{161051 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}{805255} - \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{7744} - \frac{3 \sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{256}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} - \frac{108 \sqrt{5} \left(\begin{cases} \frac{1771561 \sqrt{2} \left(\frac{4 \sqrt{2} \left(5 - 10 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}{805255} + \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(- 20 x - 1\right)^{3} \left(5 x + 3\right)^{\frac{3}{2}}}{85034928} - \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{15488} - \frac{13 \sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{14992384} + \frac{21 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{1024}\right)}{64} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625}"," ",0,"22*sqrt(5)*Piecewise((121*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/121 + asin(sqrt(22)*sqrt(5*x + 3)/11))/32, (x >= -3/5) & (x < 1/2)))/15625 + 194*sqrt(5)*Piecewise((1331*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 + asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/8, (x >= -3/5) & (x < 1/2)))/15625 + 558*sqrt(5)*Piecewise((14641*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/16, (x >= -3/5) & (x < 1/2)))/15625 + 486*sqrt(5)*Piecewise((161051*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(5/2)*(5*x + 3)**(5/2)/805255 - sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/7744 - 3*sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/3748096 + 7*asin(sqrt(22)*sqrt(5*x + 3)/11)/256)/32, (x >= -3/5) & (x < 1/2)))/15625 - 108*sqrt(5)*Piecewise((1771561*sqrt(2)*(4*sqrt(2)*(5 - 10*x)**(5/2)*(5*x + 3)**(5/2)/805255 + sqrt(2)*(5 - 10*x)**(3/2)*(-20*x - 1)**3*(5*x + 3)**(3/2)/85034928 - sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/15488 - 13*sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/14992384 + 21*asin(sqrt(22)*sqrt(5*x + 3)/11)/1024)/64, (x >= -3/5) & (x < 1/2)))/15625","A",0
2328,1,490,0,70.682327," ","integrate((1-2*x)**(3/2)*(2+3*x)**2*(3+5*x)**(1/2),x)","\frac{22 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{121} + \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{128 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{174 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} - \frac{36 \sqrt{5} \left(\begin{cases} \frac{161051 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}{805255} - \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{7744} - \frac{3 \sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{256}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125}"," ",0,"22*sqrt(5)*Piecewise((121*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/121 + asin(sqrt(22)*sqrt(5*x + 3)/11))/32, (x >= -3/5) & (x < 1/2)))/3125 + 128*sqrt(5)*Piecewise((1331*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 + asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/8, (x >= -3/5) & (x < 1/2)))/3125 + 174*sqrt(5)*Piecewise((14641*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/16, (x >= -3/5) & (x < 1/2)))/3125 - 36*sqrt(5)*Piecewise((161051*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(5/2)*(5*x + 3)**(5/2)/805255 - sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/7744 - 3*sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/3748096 + 7*asin(sqrt(22)*sqrt(5*x + 3)/11)/256)/32, (x >= -3/5) & (x < 1/2)))/3125","A",0
2329,1,316,0,38.592730," ","integrate((1-2*x)**(3/2)*(2+3*x)*(3+5*x)**(1/2),x)","\frac{22 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{121} + \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{625} + \frac{62 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{625} - \frac{12 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{625}"," ",0,"22*sqrt(5)*Piecewise((121*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/121 + asin(sqrt(22)*sqrt(5*x + 3)/11))/32, (x >= -3/5) & (x < 1/2)))/625 + 62*sqrt(5)*Piecewise((1331*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 + asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/8, (x >= -3/5) & (x < 1/2)))/625 - 12*sqrt(5)*Piecewise((14641*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/16, (x >= -3/5) & (x < 1/2)))/625","A",0
2330,1,230,0,4.372964," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2),x)","\begin{cases} - \frac{20 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{10 x - 5}} + \frac{121 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{6 \sqrt{10 x - 5}} - \frac{2057 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{120 \sqrt{10 x - 5}} + \frac{1331 i \sqrt{x + \frac{3}{5}}}{400 \sqrt{10 x - 5}} - \frac{1331 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{4000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{1331 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{4000} + \frac{20 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{5 - 10 x}} - \frac{121 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{6 \sqrt{5 - 10 x}} + \frac{2057 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{120 \sqrt{5 - 10 x}} - \frac{1331 \sqrt{x + \frac{3}{5}}}{400 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-20*I*(x + 3/5)**(7/2)/(3*sqrt(10*x - 5)) + 121*I*(x + 3/5)**(5/2)/(6*sqrt(10*x - 5)) - 2057*I*(x + 3/5)**(3/2)/(120*sqrt(10*x - 5)) + 1331*I*sqrt(x + 3/5)/(400*sqrt(10*x - 5)) - 1331*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/4000, 10*Abs(x + 3/5)/11 > 1), (1331*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/4000 + 20*(x + 3/5)**(7/2)/(3*sqrt(5 - 10*x)) - 121*(x + 3/5)**(5/2)/(6*sqrt(5 - 10*x)) + 2057*(x + 3/5)**(3/2)/(120*sqrt(5 - 10*x)) - 1331*sqrt(x + 3/5)/(400*sqrt(5 - 10*x)), True))","A",0
2331,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{5 x + 3}}{3 x + 2}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)*sqrt(5*x + 3)/(3*x + 2), x)","F",0
2332,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**2,x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{5 x + 3}}{\left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)*sqrt(5*x + 3)/(3*x + 2)**2, x)","F",0
2333,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**3,x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{5 x + 3}}{\left(3 x + 2\right)^{3}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)*sqrt(5*x + 3)/(3*x + 2)**3, x)","F",0
2334,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2335,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2336,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2337,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**3*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2338,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**2*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2339,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2340,1,269,0,7.902932," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2),x)","\begin{cases} - \frac{25 i \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{\sqrt{10 x - 5}} + \frac{275 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{4 \sqrt{10 x - 5}} - \frac{1573 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{32 \sqrt{10 x - 5}} - \frac{1331 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{640 \sqrt{10 x - 5}} + \frac{43923 i \sqrt{x + \frac{3}{5}}}{6400 \sqrt{10 x - 5}} - \frac{43923 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{64000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{43923 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{64000} + \frac{25 \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{\sqrt{5 - 10 x}} - \frac{275 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{4 \sqrt{5 - 10 x}} + \frac{1573 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{32 \sqrt{5 - 10 x}} + \frac{1331 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{640 \sqrt{5 - 10 x}} - \frac{43923 \sqrt{x + \frac{3}{5}}}{6400 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-25*I*(x + 3/5)**(9/2)/sqrt(10*x - 5) + 275*I*(x + 3/5)**(7/2)/(4*sqrt(10*x - 5)) - 1573*I*(x + 3/5)**(5/2)/(32*sqrt(10*x - 5)) - 1331*I*(x + 3/5)**(3/2)/(640*sqrt(10*x - 5)) + 43923*I*sqrt(x + 3/5)/(6400*sqrt(10*x - 5)) - 43923*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/64000, 10*Abs(x + 3/5)/11 > 1), (43923*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/64000 + 25*(x + 3/5)**(9/2)/sqrt(5 - 10*x) - 275*(x + 3/5)**(7/2)/(4*sqrt(5 - 10*x)) + 1573*(x + 3/5)**(5/2)/(32*sqrt(5 - 10*x)) + 1331*(x + 3/5)**(3/2)/(640*sqrt(5 - 10*x)) - 43923*sqrt(x + 3/5)/(6400*sqrt(5 - 10*x)), True))","A",0
2341,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2342,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2343,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2344,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2345,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2346,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2347,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2348,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2349,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**3*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2350,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**2*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2351,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2352,1,311,0,16.302366," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2),x)","\begin{cases} - \frac{100 i \left(x + \frac{3}{5}\right)^{\frac{11}{2}}}{\sqrt{10 x - 5}} + \frac{1045 i \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{4 \sqrt{10 x - 5}} - \frac{2783 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{16 \sqrt{10 x - 5}} - \frac{1331 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{640 \sqrt{10 x - 5}} - \frac{14641 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{2560 \sqrt{10 x - 5}} + \frac{483153 i \sqrt{x + \frac{3}{5}}}{25600 \sqrt{10 x - 5}} - \frac{483153 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{256000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{483153 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{256000} + \frac{100 \left(x + \frac{3}{5}\right)^{\frac{11}{2}}}{\sqrt{5 - 10 x}} - \frac{1045 \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{4 \sqrt{5 - 10 x}} + \frac{2783 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{16 \sqrt{5 - 10 x}} + \frac{1331 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{640 \sqrt{5 - 10 x}} + \frac{14641 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{2560 \sqrt{5 - 10 x}} - \frac{483153 \sqrt{x + \frac{3}{5}}}{25600 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-100*I*(x + 3/5)**(11/2)/sqrt(10*x - 5) + 1045*I*(x + 3/5)**(9/2)/(4*sqrt(10*x - 5)) - 2783*I*(x + 3/5)**(7/2)/(16*sqrt(10*x - 5)) - 1331*I*(x + 3/5)**(5/2)/(640*sqrt(10*x - 5)) - 14641*I*(x + 3/5)**(3/2)/(2560*sqrt(10*x - 5)) + 483153*I*sqrt(x + 3/5)/(25600*sqrt(10*x - 5)) - 483153*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/256000, 10*Abs(x + 3/5)/11 > 1), (483153*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/256000 + 100*(x + 3/5)**(11/2)/sqrt(5 - 10*x) - 1045*(x + 3/5)**(9/2)/(4*sqrt(5 - 10*x)) + 2783*(x + 3/5)**(7/2)/(16*sqrt(5 - 10*x)) + 1331*(x + 3/5)**(5/2)/(640*sqrt(5 - 10*x)) + 14641*(x + 3/5)**(3/2)/(2560*sqrt(5 - 10*x)) - 483153*sqrt(x + 3/5)/(25600*sqrt(5 - 10*x)), True))","A",0
2353,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2354,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2355,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2356,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2357,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2358,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2359,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2360,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2361,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**3/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2362,1,394,0,176.467371," ","integrate((1-2*x)**(3/2)*(2+3*x)**2/(3+5*x)**(1/2),x)","- \frac{49 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(\frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{968} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{8}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4} + \frac{21 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} + \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2} - \frac{9 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{3993} + \frac{7 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} + \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{3125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{4}"," ",0,"-49*sqrt(2)*Piecewise((121*sqrt(5)*(sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/968 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 3*asin(sqrt(55)*sqrt(1 - 2*x)/11)/8)/125, (x <= 1/2) & (x > -3/5)))/4 + 21*sqrt(2)*Piecewise((1331*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 + 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/625, (x <= 1/2) & (x > -3/5)))/2 - 9*sqrt(2)*Piecewise((14641*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/3993 + 7*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 + sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 35*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/3125, (x <= 1/2) & (x > -3/5)))/4","A",0
2363,1,223,0,81.451219," ","integrate((1-2*x)**(3/2)*(2+3*x)/(3+5*x)**(1/2),x)","- \frac{7 \sqrt{2} \left(\begin{cases} \frac{121 \sqrt{5} \left(\frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{968} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{8}\right)}{125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2} + \frac{3 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} + \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2}"," ",0,"-7*sqrt(2)*Piecewise((121*sqrt(5)*(sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/968 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 3*asin(sqrt(55)*sqrt(1 - 2*x)/11)/8)/125, (x <= 1/2) & (x > -3/5)))/2 + 3*sqrt(2)*Piecewise((1331*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 + 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/625, (x <= 1/2) & (x > -3/5)))/2","A",0
2364,1,184,0,2.651428," ","integrate((1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\begin{cases} - \frac{2 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{\sqrt{10 x - 5}} + \frac{77 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{10 \sqrt{10 x - 5}} - \frac{121 i \sqrt{x + \frac{3}{5}}}{20 \sqrt{10 x - 5}} - \frac{363 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{1000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{363 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{1000} + \frac{2 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{\sqrt{5 - 10 x}} - \frac{77 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{10 \sqrt{5 - 10 x}} + \frac{121 \sqrt{x + \frac{3}{5}}}{20 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*I*(x + 3/5)**(5/2)/sqrt(10*x - 5) + 77*I*(x + 3/5)**(3/2)/(10*sqrt(10*x - 5)) - 121*I*sqrt(x + 3/5)/(20*sqrt(10*x - 5)) - 363*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/1000, 10*Abs(x + 3/5)/11 > 1), (363*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/1000 + 2*(x + 3/5)**(5/2)/sqrt(5 - 10*x) - 77*(x + 3/5)**(3/2)/(10*sqrt(5 - 10*x)) + 121*sqrt(x + 3/5)/(20*sqrt(5 - 10*x)), True))","A",0
2365,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)/(3+5*x)**(1/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}}}{\left(3 x + 2\right) \sqrt{5 x + 3}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)/((3*x + 2)*sqrt(5*x + 3)), x)","F",0
2366,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**(1/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}}}{\left(3 x + 2\right)^{2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)/((3*x + 2)**2*sqrt(5*x + 3)), x)","F",0
2367,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2368,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**4/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2369,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**5/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2370,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**6/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2371,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**3/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2372,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**2/(3+5*x)**(3/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)^{2}}{\left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)*(3*x + 2)**2/(5*x + 3)**(3/2), x)","F",0
2373,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)/(3+5*x)**(3/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)}{\left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)*(3*x + 2)/(5*x + 3)**(3/2), x)","F",0
2374,1,187,0,2.555155," ","integrate((1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\begin{cases} - \frac{4 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{5 \sqrt{10 x - 5}} - \frac{22 i \sqrt{x + \frac{3}{5}}}{25 \sqrt{10 x - 5}} + \frac{33 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{125} + \frac{242 i}{125 \sqrt{x + \frac{3}{5}} \sqrt{10 x - 5}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{33 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{125} + \frac{4 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{5 \sqrt{5 - 10 x}} + \frac{22 \sqrt{x + \frac{3}{5}}}{25 \sqrt{5 - 10 x}} - \frac{242}{125 \sqrt{5 - 10 x} \sqrt{x + \frac{3}{5}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*I*(x + 3/5)**(3/2)/(5*sqrt(10*x - 5)) - 22*I*sqrt(x + 3/5)/(25*sqrt(10*x - 5)) + 33*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/125 + 242*I/(125*sqrt(x + 3/5)*sqrt(10*x - 5)), 10*Abs(x + 3/5)/11 > 1), (-33*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/125 + 4*(x + 3/5)**(3/2)/(5*sqrt(5 - 10*x)) + 22*sqrt(x + 3/5)/(25*sqrt(5 - 10*x)) - 242/(125*sqrt(5 - 10*x)*sqrt(x + 3/5)), True))","A",0
2375,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)/(3+5*x)**(3/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}}}{\left(3 x + 2\right) \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)/((3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2376,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2377,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2378,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**4/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2379,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**5/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2380,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**3/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2381,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**2/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2382,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2383,1,204,0,3.326714," ","integrate((1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\begin{cases} \frac{16 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{375} - \frac{22 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{1875 \left(x + \frac{3}{5}\right)} + \frac{2 \sqrt{10} i \log{\left(\frac{1}{x + \frac{3}{5}} \right)}}{125} + \frac{2 \sqrt{10} i \log{\left(x + \frac{3}{5} \right)}}{125} + \frac{4 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{125} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{16 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{375} - \frac{22 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{1875 \left(x + \frac{3}{5}\right)} + \frac{2 \sqrt{10} i \log{\left(\frac{1}{x + \frac{3}{5}} \right)}}{125} - \frac{4 \sqrt{10} i \log{\left(\sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} + 1 \right)}}{125} & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/375 - 22*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(1875*(x + 3/5)) + 2*sqrt(10)*I*log(1/(x + 3/5))/125 + 2*sqrt(10)*I*log(x + 3/5)/125 + 4*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/125, 11/(10*Abs(x + 3/5)) > 1), (16*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/375 - 22*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(1875*(x + 3/5)) + 2*sqrt(10)*I*log(1/(x + 3/5))/125 - 4*sqrt(10)*I*log(sqrt(1 - 11/(10*(x + 3/5))) + 1)/125, True))","C",0
2384,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2385,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2386,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2387,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**4/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2388,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2389,1,695,0,129.587364," ","integrate((1-2*x)**(5/2)*(2+3*x)**2*(3+5*x)**(1/2),x)","\frac{242 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{121} + \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} + \frac{1364 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} + \frac{1658 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} - \frac{744 \sqrt{5} \left(\begin{cases} \frac{161051 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}{805255} - \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{7744} - \frac{3 \sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{256}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625} + \frac{72 \sqrt{5} \left(\begin{cases} \frac{1771561 \sqrt{2} \left(\frac{4 \sqrt{2} \left(5 - 10 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}{805255} + \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(- 20 x - 1\right)^{3} \left(5 x + 3\right)^{\frac{3}{2}}}{85034928} - \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{15488} - \frac{13 \sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{14992384} + \frac{21 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{1024}\right)}{64} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{15625}"," ",0,"242*sqrt(5)*Piecewise((121*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/121 + asin(sqrt(22)*sqrt(5*x + 3)/11))/32, (x >= -3/5) & (x < 1/2)))/15625 + 1364*sqrt(5)*Piecewise((1331*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 + asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/8, (x >= -3/5) & (x < 1/2)))/15625 + 1658*sqrt(5)*Piecewise((14641*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/16, (x >= -3/5) & (x < 1/2)))/15625 - 744*sqrt(5)*Piecewise((161051*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(5/2)*(5*x + 3)**(5/2)/805255 - sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/7744 - 3*sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/3748096 + 7*asin(sqrt(22)*sqrt(5*x + 3)/11)/256)/32, (x >= -3/5) & (x < 1/2)))/15625 + 72*sqrt(5)*Piecewise((1771561*sqrt(2)*(4*sqrt(2)*(5 - 10*x)**(5/2)*(5*x + 3)**(5/2)/805255 + sqrt(2)*(5 - 10*x)**(3/2)*(-20*x - 1)**3*(5*x + 3)**(3/2)/85034928 - sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/15488 - 13*sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/14992384 + 21*asin(sqrt(22)*sqrt(5*x + 3)/11)/1024)/64, (x >= -3/5) & (x < 1/2)))/15625","A",0
2390,1,490,0,75.636611," ","integrate((1-2*x)**(5/2)*(2+3*x)*(3+5*x)**(1/2),x)","\frac{242 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{121} + \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{638 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} - \frac{256 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(- \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{24 \sqrt{5} \left(\begin{cases} \frac{161051 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}{805255} - \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} - \frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{7744} - \frac{3 \sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{3748096} + \frac{7 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{256}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125}"," ",0,"242*sqrt(5)*Piecewise((121*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/121 + asin(sqrt(22)*sqrt(5*x + 3)/11))/32, (x >= -3/5) & (x < 1/2)))/3125 + 638*sqrt(5)*Piecewise((1331*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 + asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/8, (x >= -3/5) & (x < 1/2)))/3125 - 256*sqrt(5)*Piecewise((14641*sqrt(2)*(-sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/16, (x >= -3/5) & (x < 1/2)))/3125 + 24*sqrt(5)*Piecewise((161051*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(5/2)*(5*x + 3)**(5/2)/805255 - sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 - sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/7744 - 3*sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/3748096 + 7*asin(sqrt(22)*sqrt(5*x + 3)/11)/256)/32, (x >= -3/5) & (x < 1/2)))/3125","A",0
2391,1,269,0,8.675939," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2),x)","\begin{cases} \frac{10 i \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{\sqrt{10 x - 5}} - \frac{253 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{6 \sqrt{10 x - 5}} + \frac{15367 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{240 \sqrt{10 x - 5}} - \frac{177023 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{4800 \sqrt{10 x - 5}} + \frac{14641 i \sqrt{x + \frac{3}{5}}}{3200 \sqrt{10 x - 5}} - \frac{14641 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{32000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{14641 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{32000} - \frac{10 \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{\sqrt{5 - 10 x}} + \frac{253 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{6 \sqrt{5 - 10 x}} - \frac{15367 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{240 \sqrt{5 - 10 x}} + \frac{177023 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{4800 \sqrt{5 - 10 x}} - \frac{14641 \sqrt{x + \frac{3}{5}}}{3200 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((10*I*(x + 3/5)**(9/2)/sqrt(10*x - 5) - 253*I*(x + 3/5)**(7/2)/(6*sqrt(10*x - 5)) + 15367*I*(x + 3/5)**(5/2)/(240*sqrt(10*x - 5)) - 177023*I*(x + 3/5)**(3/2)/(4800*sqrt(10*x - 5)) + 14641*I*sqrt(x + 3/5)/(3200*sqrt(10*x - 5)) - 14641*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/32000, 10*Abs(x + 3/5)/11 > 1), (14641*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/32000 - 10*(x + 3/5)**(9/2)/sqrt(5 - 10*x) + 253*(x + 3/5)**(7/2)/(6*sqrt(5 - 10*x)) - 15367*(x + 3/5)**(5/2)/(240*sqrt(5 - 10*x)) + 177023*(x + 3/5)**(3/2)/(4800*sqrt(5 - 10*x)) - 14641*sqrt(x + 3/5)/(3200*sqrt(5 - 10*x)), True))","A",0
2392,0,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x),x)","\int \frac{\left(1 - 2 x\right)^{\frac{5}{2}} \sqrt{5 x + 3}}{3 x + 2}\, dx"," ",0,"Integral((1 - 2*x)**(5/2)*sqrt(5*x + 3)/(3*x + 2), x)","F",0
2393,0,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**2,x)","\int \frac{\left(1 - 2 x\right)^{\frac{5}{2}} \sqrt{5 x + 3}}{\left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral((1 - 2*x)**(5/2)*sqrt(5*x + 3)/(3*x + 2)**2, x)","F",0
2394,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2395,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2396,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2397,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2398,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2399,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2400,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**2*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2401,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2402,1,311,0,14.570111," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2),x)","\begin{cases} \frac{40 i \left(x + \frac{3}{5}\right)^{\frac{11}{2}}}{\sqrt{10 x - 5}} - \frac{319 i \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{2 \sqrt{10 x - 5}} + \frac{8833 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{40 \sqrt{10 x - 5}} - \frac{171699 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{1600 \sqrt{10 x - 5}} - \frac{14641 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{6400 \sqrt{10 x - 5}} + \frac{483153 i \sqrt{x + \frac{3}{5}}}{64000 \sqrt{10 x - 5}} - \frac{483153 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{640000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{483153 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{640000} - \frac{40 \left(x + \frac{3}{5}\right)^{\frac{11}{2}}}{\sqrt{5 - 10 x}} + \frac{319 \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{2 \sqrt{5 - 10 x}} - \frac{8833 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{40 \sqrt{5 - 10 x}} + \frac{171699 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{1600 \sqrt{5 - 10 x}} + \frac{14641 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{6400 \sqrt{5 - 10 x}} - \frac{483153 \sqrt{x + \frac{3}{5}}}{64000 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((40*I*(x + 3/5)**(11/2)/sqrt(10*x - 5) - 319*I*(x + 3/5)**(9/2)/(2*sqrt(10*x - 5)) + 8833*I*(x + 3/5)**(7/2)/(40*sqrt(10*x - 5)) - 171699*I*(x + 3/5)**(5/2)/(1600*sqrt(10*x - 5)) - 14641*I*(x + 3/5)**(3/2)/(6400*sqrt(10*x - 5)) + 483153*I*sqrt(x + 3/5)/(64000*sqrt(10*x - 5)) - 483153*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/640000, 10*Abs(x + 3/5)/11 > 1), (483153*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/640000 - 40*(x + 3/5)**(11/2)/sqrt(5 - 10*x) + 319*(x + 3/5)**(9/2)/(2*sqrt(5 - 10*x)) - 8833*(x + 3/5)**(7/2)/(40*sqrt(5 - 10*x)) + 171699*(x + 3/5)**(5/2)/(1600*sqrt(5 - 10*x)) + 14641*(x + 3/5)**(3/2)/(6400*sqrt(5 - 10*x)) - 483153*sqrt(x + 3/5)/(64000*sqrt(5 - 10*x)), True))","A",0
2403,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2404,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2405,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2406,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2407,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2408,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2409,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2410,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2411,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2412,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**2*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2413,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2414,1,357,0,24.939386," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2),x)","\begin{cases} \frac{500 i \left(x + \frac{3}{5}\right)^{\frac{13}{2}}}{3 \sqrt{10 x - 5}} - \frac{1925 i \left(x + \frac{3}{5}\right)^{\frac{11}{2}}}{3 \sqrt{10 x - 5}} + \frac{40535 i \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{48 \sqrt{10 x - 5}} - \frac{73205 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{192 \sqrt{10 x - 5}} - \frac{14641 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{7680 \sqrt{10 x - 5}} - \frac{161051 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{30720 \sqrt{10 x - 5}} + \frac{1771561 i \sqrt{x + \frac{3}{5}}}{102400 \sqrt{10 x - 5}} - \frac{1771561 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{1024000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{1771561 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{1024000} - \frac{500 \left(x + \frac{3}{5}\right)^{\frac{13}{2}}}{3 \sqrt{5 - 10 x}} + \frac{1925 \left(x + \frac{3}{5}\right)^{\frac{11}{2}}}{3 \sqrt{5 - 10 x}} - \frac{40535 \left(x + \frac{3}{5}\right)^{\frac{9}{2}}}{48 \sqrt{5 - 10 x}} + \frac{73205 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{192 \sqrt{5 - 10 x}} + \frac{14641 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{7680 \sqrt{5 - 10 x}} + \frac{161051 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{30720 \sqrt{5 - 10 x}} - \frac{1771561 \sqrt{x + \frac{3}{5}}}{102400 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((500*I*(x + 3/5)**(13/2)/(3*sqrt(10*x - 5)) - 1925*I*(x + 3/5)**(11/2)/(3*sqrt(10*x - 5)) + 40535*I*(x + 3/5)**(9/2)/(48*sqrt(10*x - 5)) - 73205*I*(x + 3/5)**(7/2)/(192*sqrt(10*x - 5)) - 14641*I*(x + 3/5)**(5/2)/(7680*sqrt(10*x - 5)) - 161051*I*(x + 3/5)**(3/2)/(30720*sqrt(10*x - 5)) + 1771561*I*sqrt(x + 3/5)/(102400*sqrt(10*x - 5)) - 1771561*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/1024000, 10*Abs(x + 3/5)/11 > 1), (1771561*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/1024000 - 500*(x + 3/5)**(13/2)/(3*sqrt(5 - 10*x)) + 1925*(x + 3/5)**(11/2)/(3*sqrt(5 - 10*x)) - 40535*(x + 3/5)**(9/2)/(48*sqrt(5 - 10*x)) + 73205*(x + 3/5)**(7/2)/(192*sqrt(5 - 10*x)) + 14641*(x + 3/5)**(5/2)/(7680*sqrt(5 - 10*x)) + 161051*(x + 3/5)**(3/2)/(30720*sqrt(5 - 10*x)) - 1771561*sqrt(x + 3/5)/(102400*sqrt(5 - 10*x)), True))","A",0
2415,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2416,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2417,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2418,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2419,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2420,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2421,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2422,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2423,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2424,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**4/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2425,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2426,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**2/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2427,1,296,0,167.632648," ","integrate((1-2*x)**(5/2)*(2+3*x)/(3+5*x)**(1/2),x)","- \frac{7 \sqrt{2} \left(\begin{cases} \frac{1331 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{7986} + \frac{3 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{1936} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{16}\right)}{625} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2} + \frac{3 \sqrt{2} \left(\begin{cases} \frac{14641 \sqrt{5} \left(\frac{5 \sqrt{5} \left(1 - 2 x\right)^{\frac{3}{2}} \left(10 x + 6\right)^{\frac{3}{2}}}{3993} + \frac{7 \sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(20 x + 1\right)}{3872} + \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6} \left(12100 x - 2000 \left(1 - 2 x\right)^{3} + 6600 \left(1 - 2 x\right)^{2} - 4719\right)}{1874048} - \frac{\sqrt{5} \sqrt{1 - 2 x} \sqrt{10 x + 6}}{22} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{55} \sqrt{1 - 2 x}}{11} \right)}}{128}\right)}{3125} & \text{for}\: x \leq \frac{1}{2} \wedge x > - \frac{3}{5} \end{cases}\right)}{2}"," ",0,"-7*sqrt(2)*Piecewise((1331*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/7986 + 3*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/1936 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 5*asin(sqrt(55)*sqrt(1 - 2*x)/11)/16)/625, (x <= 1/2) & (x > -3/5)))/2 + 3*sqrt(2)*Piecewise((14641*sqrt(5)*(5*sqrt(5)*(1 - 2*x)**(3/2)*(10*x + 6)**(3/2)/3993 + 7*sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(20*x + 1)/3872 + sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)*(12100*x - 2000*(1 - 2*x)**3 + 6600*(1 - 2*x)**2 - 4719)/1874048 - sqrt(5)*sqrt(1 - 2*x)*sqrt(10*x + 6)/22 + 35*asin(sqrt(55)*sqrt(1 - 2*x)/11)/128)/3125, (x <= 1/2) & (x > -3/5)))/2","A",0
2428,1,230,0,5.893741," ","integrate((1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\begin{cases} \frac{8 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{10 x - 5}} - \frac{187 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{15 \sqrt{10 x - 5}} + \frac{7139 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{300 \sqrt{10 x - 5}} - \frac{14641 i \sqrt{x + \frac{3}{5}}}{1000 \sqrt{10 x - 5}} - \frac{1331 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{2000} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{1331 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{2000} - \frac{8 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{5 - 10 x}} + \frac{187 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{15 \sqrt{5 - 10 x}} - \frac{7139 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{300 \sqrt{5 - 10 x}} + \frac{14641 \sqrt{x + \frac{3}{5}}}{1000 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((8*I*(x + 3/5)**(7/2)/(3*sqrt(10*x - 5)) - 187*I*(x + 3/5)**(5/2)/(15*sqrt(10*x - 5)) + 7139*I*(x + 3/5)**(3/2)/(300*sqrt(10*x - 5)) - 14641*I*sqrt(x + 3/5)/(1000*sqrt(10*x - 5)) - 1331*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/2000, 10*Abs(x + 3/5)/11 > 1), (1331*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/2000 - 8*(x + 3/5)**(7/2)/(3*sqrt(5 - 10*x)) + 187*(x + 3/5)**(5/2)/(15*sqrt(5 - 10*x)) - 7139*(x + 3/5)**(3/2)/(300*sqrt(5 - 10*x)) + 14641*sqrt(x + 3/5)/(1000*sqrt(5 - 10*x)), True))","A",0
2429,0,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)/(3+5*x)**(1/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{5}{2}}}{\left(3 x + 2\right) \sqrt{5 x + 3}}\, dx"," ",0,"Integral((1 - 2*x)**(5/2)/((3*x + 2)*sqrt(5*x + 3)), x)","F",0
2430,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2431,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2432,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**4/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2433,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**5/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2434,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**6/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2435,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**7/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2436,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**4/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2437,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2438,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**2/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2439,0,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)/(3+5*x)**(3/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)}{\left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((1 - 2*x)**(5/2)*(3*x + 2)/(5*x + 3)**(3/2), x)","F",0
2440,1,230,0,6.548841," ","integrate((1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\begin{cases} \frac{4 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{5 \sqrt{10 x - 5}} - \frac{121 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{25 \sqrt{10 x - 5}} + \frac{121 i \sqrt{x + \frac{3}{5}}}{250 \sqrt{10 x - 5}} + \frac{363 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{500} + \frac{2662 i}{625 \sqrt{x + \frac{3}{5}} \sqrt{10 x - 5}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{363 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{500} - \frac{4 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{5 \sqrt{5 - 10 x}} + \frac{121 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{25 \sqrt{5 - 10 x}} - \frac{121 \sqrt{x + \frac{3}{5}}}{250 \sqrt{5 - 10 x}} - \frac{2662}{625 \sqrt{5 - 10 x} \sqrt{x + \frac{3}{5}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*I*(x + 3/5)**(5/2)/(5*sqrt(10*x - 5)) - 121*I*(x + 3/5)**(3/2)/(25*sqrt(10*x - 5)) + 121*I*sqrt(x + 3/5)/(250*sqrt(10*x - 5)) + 363*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/500 + 2662*I/(625*sqrt(x + 3/5)*sqrt(10*x - 5)), 10*Abs(x + 3/5)/11 > 1), (-363*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/500 - 4*(x + 3/5)**(5/2)/(5*sqrt(5 - 10*x)) + 121*(x + 3/5)**(3/2)/(25*sqrt(5 - 10*x)) - 121*sqrt(x + 3/5)/(250*sqrt(5 - 10*x)) - 2662/(625*sqrt(5 - 10*x)*sqrt(x + 3/5)), True))","A",0
2441,0,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)/(3+5*x)**(3/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{5}{2}}}{\left(3 x + 2\right) \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((1 - 2*x)**(5/2)/((3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2442,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2443,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2444,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**4/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2445,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**5/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2446,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**6/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2447,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**4/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2448,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**3/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2449,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**2/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2450,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2451,1,257,0,6.383942," ","integrate((1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\begin{cases} \frac{4 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{125} + \frac{308 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{1875} - \frac{242 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{9375 \left(x + \frac{3}{5}\right)} + \frac{11 \sqrt{10} i \log{\left(\frac{1}{x + \frac{3}{5}} \right)}}{125} + \frac{11 \sqrt{10} i \log{\left(x + \frac{3}{5} \right)}}{125} + \frac{22 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{125} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{4 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{125} + \frac{308 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{1875} - \frac{242 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{9375 \left(x + \frac{3}{5}\right)} + \frac{11 \sqrt{10} i \log{\left(\frac{1}{x + \frac{3}{5}} \right)}}{125} - \frac{22 \sqrt{10} i \log{\left(\sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} + 1 \right)}}{125} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)/125 + 308*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/1875 - 242*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(9375*(x + 3/5)) + 11*sqrt(10)*I*log(1/(x + 3/5))/125 + 11*sqrt(10)*I*log(x + 3/5)/125 + 22*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/125, 11/(10*Abs(x + 3/5)) > 1), (4*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)/125 + 308*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/1875 - 242*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(9375*(x + 3/5)) + 11*sqrt(10)*I*log(1/(x + 3/5))/125 - 22*sqrt(10)*I*log(sqrt(1 - 11/(10*(x + 3/5))) + 1)/125, True))","C",0
2452,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2453,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2454,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2455,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**4/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2456,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**5/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2457,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**6/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2458,1,665,0,59.695152," ","integrate((2+3*x)**4*(3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\frac{2 \sqrt{5} \left(\begin{cases} \frac{11 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{2}\right)}{4} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{24 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(\frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{968} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{8}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{108 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(\frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{3 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{216 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{7 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} + \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125} + \frac{162 \sqrt{5} \left(\begin{cases} \frac{161051 \sqrt{2} \left(- \frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}{805255} + \frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{1331} + \frac{15 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{7744} + \frac{5 \sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{3748096} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{63 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{256}\right)}{64} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{3125}"," ",0,"2*sqrt(5)*Piecewise((11*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + asin(sqrt(22)*sqrt(5*x + 3)/11)/2)/4, (x >= -3/5) & (x < 1/2)))/3125 + 24*sqrt(5)*Piecewise((121*sqrt(2)*(sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/968 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 3*asin(sqrt(22)*sqrt(5*x + 3)/11)/8)/8, (x >= -3/5) & (x < 1/2)))/3125 + 108*sqrt(5)*Piecewise((1331*sqrt(2)*(sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 3*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/16, (x >= -3/5) & (x < 1/2)))/3125 + 216*sqrt(5)*Piecewise((14641*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 7*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 + sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 35*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/32, (x >= -3/5) & (x < 1/2)))/3125 + 162*sqrt(5)*Piecewise((161051*sqrt(2)*(-2*sqrt(2)*(5 - 10*x)**(5/2)*(5*x + 3)**(5/2)/805255 + sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/1331 + 15*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/7744 + 5*sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/3748096 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 63*asin(sqrt(22)*sqrt(5*x + 3)/11)/256)/64, (x >= -3/5) & (x < 1/2)))/3125","A",0
2459,1,466,0,35.257187," ","integrate((2+3*x)**3*(3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\frac{2 \sqrt{5} \left(\begin{cases} \frac{11 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{2}\right)}{4} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{625} + \frac{18 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(\frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{968} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{8}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{625} + \frac{54 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(\frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{3 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{625} + \frac{54 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{7 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} + \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{625}"," ",0,"2*sqrt(5)*Piecewise((11*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + asin(sqrt(22)*sqrt(5*x + 3)/11)/2)/4, (x >= -3/5) & (x < 1/2)))/625 + 18*sqrt(5)*Piecewise((121*sqrt(2)*(sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/968 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 3*asin(sqrt(22)*sqrt(5*x + 3)/11)/8)/8, (x >= -3/5) & (x < 1/2)))/625 + 54*sqrt(5)*Piecewise((1331*sqrt(2)*(sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 3*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/16, (x >= -3/5) & (x < 1/2)))/625 + 54*sqrt(5)*Piecewise((14641*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 7*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 + sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 35*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/32, (x >= -3/5) & (x < 1/2)))/625","A",0
2460,1,292,0,19.360106," ","integrate((2+3*x)**2*(3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\frac{2 \sqrt{5} \left(\begin{cases} \frac{11 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{2}\right)}{4} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{125} + \frac{12 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(\frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{968} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{8}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{125} + \frac{18 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(\frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{3 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{125}"," ",0,"2*sqrt(5)*Piecewise((11*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + asin(sqrt(22)*sqrt(5*x + 3)/11)/2)/4, (x >= -3/5) & (x < 1/2)))/125 + 12*sqrt(5)*Piecewise((121*sqrt(2)*(sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/968 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 3*asin(sqrt(22)*sqrt(5*x + 3)/11)/8)/8, (x >= -3/5) & (x < 1/2)))/125 + 18*sqrt(5)*Piecewise((1331*sqrt(2)*(sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 3*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/16, (x >= -3/5) & (x < 1/2)))/125","A",0
2461,1,167,0,9.333400," ","integrate((2+3*x)*(3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\frac{2 \sqrt{5} \left(\begin{cases} \frac{11 \sqrt{2} \left(- \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{\operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{2}\right)}{4} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{25} + \frac{6 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(\frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{968} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{8}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{25}"," ",0,"2*sqrt(5)*Piecewise((11*sqrt(2)*(-sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + asin(sqrt(22)*sqrt(5*x + 3)/11)/2)/4, (x >= -3/5) & (x < 1/2)))/25 + 6*sqrt(5)*Piecewise((121*sqrt(2)*(sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/968 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 3*asin(sqrt(22)*sqrt(5*x + 3)/11)/8)/8, (x >= -3/5) & (x < 1/2)))/25","A",0
2462,1,141,0,1.793662," ","integrate((3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\begin{cases} - \frac{5 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{\sqrt{10 x - 5}} + \frac{11 i \sqrt{x + \frac{3}{5}}}{2 \sqrt{10 x - 5}} - \frac{11 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{20} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{11 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{20} + \frac{5 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{\sqrt{5 - 10 x}} - \frac{11 \sqrt{x + \frac{3}{5}}}{2 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*I*(x + 3/5)**(3/2)/sqrt(10*x - 5) + 11*I*sqrt(x + 3/5)/(2*sqrt(10*x - 5)) - 11*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/20, 10*Abs(x + 3/5)/11 > 1), (11*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/20 + 5*(x + 3/5)**(3/2)/sqrt(5 - 10*x) - 11*sqrt(x + 3/5)/(2*sqrt(5 - 10*x)), True))","A",0
2463,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)/(1-2*x)**(1/2),x)","\int \frac{\sqrt{5 x + 3}}{\sqrt{1 - 2 x} \left(3 x + 2\right)}\, dx"," ",0,"Integral(sqrt(5*x + 3)/(sqrt(1 - 2*x)*(3*x + 2)), x)","F",0
2464,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)**2/(1-2*x)**(1/2),x)","\int \frac{\sqrt{5 x + 3}}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(5*x + 3)/(sqrt(1 - 2*x)*(3*x + 2)**2), x)","F",0
2465,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)**3/(1-2*x)**(1/2),x)","\int \frac{\sqrt{5 x + 3}}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{3}}\, dx"," ",0,"Integral(sqrt(5*x + 3)/(sqrt(1 - 2*x)*(3*x + 2)**3), x)","F",0
2466,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)**4/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2467,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)**5/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2468,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2469,1,398,0,165.337738," ","integrate((2+3*x)**2*(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\frac{2 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(\frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{968} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{8}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{125} + \frac{12 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(\frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{3 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{125} + \frac{18 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{7 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} + \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{125}"," ",0,"2*sqrt(5)*Piecewise((121*sqrt(2)*(sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/968 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 3*asin(sqrt(22)*sqrt(5*x + 3)/11)/8)/8, (x >= -3/5) & (x < 1/2)))/125 + 12*sqrt(5)*Piecewise((1331*sqrt(2)*(sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 3*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/16, (x >= -3/5) & (x < 1/2)))/125 + 18*sqrt(5)*Piecewise((14641*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 7*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 + sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 35*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/32, (x >= -3/5) & (x < 1/2)))/125","A",0
2470,1,224,0,80.228100," ","integrate((2+3*x)*(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\frac{2 \sqrt{5} \left(\begin{cases} \frac{121 \sqrt{2} \left(\frac{\sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{968} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{8}\right)}{8} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{25} + \frac{6 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(\frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{3 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{25}"," ",0,"2*sqrt(5)*Piecewise((121*sqrt(2)*(sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/968 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 3*asin(sqrt(22)*sqrt(5*x + 3)/11)/8)/8, (x >= -3/5) & (x < 1/2)))/25 + 6*sqrt(5)*Piecewise((1331*sqrt(2)*(sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 3*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/16, (x >= -3/5) & (x < 1/2)))/25","A",0
2471,1,187,0,3.304742," ","integrate((3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\begin{cases} - \frac{25 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{2 \sqrt{10 x - 5}} - \frac{55 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{8 \sqrt{10 x - 5}} + \frac{363 i \sqrt{x + \frac{3}{5}}}{16 \sqrt{10 x - 5}} - \frac{363 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{160} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{363 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{160} + \frac{25 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{2 \sqrt{5 - 10 x}} + \frac{55 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{8 \sqrt{5 - 10 x}} - \frac{363 \sqrt{x + \frac{3}{5}}}{16 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-25*I*(x + 3/5)**(5/2)/(2*sqrt(10*x - 5)) - 55*I*(x + 3/5)**(3/2)/(8*sqrt(10*x - 5)) + 363*I*sqrt(x + 3/5)/(16*sqrt(10*x - 5)) - 363*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/160, 10*Abs(x + 3/5)/11 > 1), (363*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/160 + 25*(x + 3/5)**(5/2)/(2*sqrt(5 - 10*x)) + 55*(x + 3/5)**(3/2)/(8*sqrt(5 - 10*x)) - 363*sqrt(x + 3/5)/(16*sqrt(5 - 10*x)), True))","A",0
2472,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)/(1-2*x)**(1/2),x)","\int \frac{\left(5 x + 3\right)^{\frac{3}{2}}}{\sqrt{1 - 2 x} \left(3 x + 2\right)}\, dx"," ",0,"Integral((5*x + 3)**(3/2)/(sqrt(1 - 2*x)*(3*x + 2)), x)","F",0
2473,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**2/(1-2*x)**(1/2),x)","\int \frac{\left(5 x + 3\right)^{\frac{3}{2}}}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral((5*x + 3)**(3/2)/(sqrt(1 - 2*x)*(3*x + 2)**2), x)","F",0
2474,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2475,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**4/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2476,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**5/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2477,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**6/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2478,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2479,-1,0,0,0.000000," ","integrate((2+3*x)**2*(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2480,1,298,0,166.181935," ","integrate((2+3*x)*(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\frac{2 \sqrt{5} \left(\begin{cases} \frac{1331 \sqrt{2} \left(\frac{\sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{3 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{1936} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{16}\right)}{16} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{25} + \frac{6 \sqrt{5} \left(\begin{cases} \frac{14641 \sqrt{2} \left(\frac{2 \sqrt{2} \left(5 - 10 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}{3993} + \frac{7 \sqrt{2} \sqrt{5 - 10 x} \left(- 20 x - 1\right) \sqrt{5 x + 3}}{3872} + \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3} \left(- 12100 x - 128 \left(5 x + 3\right)^{3} + 1056 \left(5 x + 3\right)^{2} - 5929\right)}{1874048} - \frac{\sqrt{2} \sqrt{5 - 10 x} \sqrt{5 x + 3}}{22} + \frac{35 \operatorname{asin}{\left(\frac{\sqrt{22} \sqrt{5 x + 3}}{11} \right)}}{128}\right)}{32} & \text{for}\: x \geq - \frac{3}{5} \wedge x < \frac{1}{2} \end{cases}\right)}{25}"," ",0,"2*sqrt(5)*Piecewise((1331*sqrt(2)*(sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 3*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/1936 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 5*asin(sqrt(22)*sqrt(5*x + 3)/11)/16)/16, (x >= -3/5) & (x < 1/2)))/25 + 6*sqrt(5)*Piecewise((14641*sqrt(2)*(2*sqrt(2)*(5 - 10*x)**(3/2)*(5*x + 3)**(3/2)/3993 + 7*sqrt(2)*sqrt(5 - 10*x)*(-20*x - 1)*sqrt(5*x + 3)/3872 + sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)*(-12100*x - 128*(5*x + 3)**3 + 1056*(5*x + 3)**2 - 5929)/1874048 - sqrt(2)*sqrt(5 - 10*x)*sqrt(5*x + 3)/22 + 35*asin(sqrt(22)*sqrt(5*x + 3)/11)/128)/32, (x >= -3/5) & (x < 1/2)))/25","A",0
2481,1,230,0,7.320007," ","integrate((3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\begin{cases} - \frac{125 i \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{10 x - 5}} - \frac{275 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{24 \sqrt{10 x - 5}} - \frac{3025 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{96 \sqrt{10 x - 5}} + \frac{6655 i \sqrt{x + \frac{3}{5}}}{64 \sqrt{10 x - 5}} - \frac{1331 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{128} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{1331 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{128} + \frac{125 \left(x + \frac{3}{5}\right)^{\frac{7}{2}}}{3 \sqrt{5 - 10 x}} + \frac{275 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{24 \sqrt{5 - 10 x}} + \frac{3025 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{96 \sqrt{5 - 10 x}} - \frac{6655 \sqrt{x + \frac{3}{5}}}{64 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-125*I*(x + 3/5)**(7/2)/(3*sqrt(10*x - 5)) - 275*I*(x + 3/5)**(5/2)/(24*sqrt(10*x - 5)) - 3025*I*(x + 3/5)**(3/2)/(96*sqrt(10*x - 5)) + 6655*I*sqrt(x + 3/5)/(64*sqrt(10*x - 5)) - 1331*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/128, 10*Abs(x + 3/5)/11 > 1), (1331*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/128 + 125*(x + 3/5)**(7/2)/(3*sqrt(5 - 10*x)) + 275*(x + 3/5)**(5/2)/(24*sqrt(5 - 10*x)) + 3025*(x + 3/5)**(3/2)/(96*sqrt(5 - 10*x)) - 6655*sqrt(x + 3/5)/(64*sqrt(5 - 10*x)), True))","A",0
2482,0,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)/(1-2*x)**(1/2),x)","\int \frac{\left(5 x + 3\right)^{\frac{5}{2}}}{\sqrt{1 - 2 x} \left(3 x + 2\right)}\, dx"," ",0,"Integral((5*x + 3)**(5/2)/(sqrt(1 - 2*x)*(3*x + 2)), x)","F",0
2483,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**2/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2484,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**3/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2485,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**4/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2486,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**5/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2487,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**6/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2488,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**7/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2489,0,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{4}}{\sqrt{1 - 2 x} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)**4/(sqrt(1 - 2*x)*sqrt(5*x + 3)), x)","F",0
2490,0,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{3}}{\sqrt{1 - 2 x} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)**3/(sqrt(1 - 2*x)*sqrt(5*x + 3)), x)","F",0
2491,0,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{2}}{\sqrt{1 - 2 x} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)**2/(sqrt(1 - 2*x)*sqrt(5*x + 3)), x)","F",0
2492,0,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{3 x + 2}{\sqrt{1 - 2 x} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)/(sqrt(1 - 2*x)*sqrt(5*x + 3)), x)","F",0
2493,1,58,0,1.103360," ","integrate(1/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\begin{cases} - \frac{\sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{5} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{\sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/5, 10*Abs(x + 3/5)/11 > 1), (sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/5, True))","A",0
2494,0,0,0,0.000000," ","integrate(1/(2+3*x)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right) \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2495,0,0,0,0.000000," ","integrate(1/(2+3*x)**2/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**2*sqrt(5*x + 3)), x)","F",0
2496,0,0,0,0.000000," ","integrate(1/(2+3*x)**3/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{3} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**3*sqrt(5*x + 3)), x)","F",0
2497,0,0,0,0.000000," ","integrate(1/(2+3*x)**4/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{4} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**4*sqrt(5*x + 3)), x)","F",0
2498,-1,0,0,0.000000," ","integrate((2+3*x)**4/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2499,0,0,0,0.000000," ","integrate((2+3*x)**3/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{3}}{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)**3/(sqrt(1 - 2*x)*(5*x + 3)**(3/2)), x)","F",0
2500,0,0,0,0.000000," ","integrate((2+3*x)**2/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{2}}{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)**2/(sqrt(1 - 2*x)*(5*x + 3)**(3/2)), x)","F",0
2501,0,0,0,0.000000," ","integrate((2+3*x)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{3 x + 2}{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)/(sqrt(1 - 2*x)*(5*x + 3)**(3/2)), x)","F",0
2502,1,53,0,0.977804," ","integrate(1/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\begin{cases} - \frac{2 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{55} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{2 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{55} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/55, 11/(10*Abs(x + 3/5)) > 1), (-2*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/55, True))","A",0
2503,0,0,0,0.000000," ","integrate(1/(2+3*x)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right) \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2504,0,0,0,0.000000," ","integrate(1/(2+3*x)**2/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**2*(5*x + 3)**(3/2)), x)","F",0
2505,0,0,0,0.000000," ","integrate(1/(2+3*x)**3/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{3} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**3*(5*x + 3)**(3/2)), x)","F",0
2506,0,0,0,0.000000," ","integrate(1/(2+3*x)**4/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{4} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**4*(5*x + 3)**(3/2)), x)","F",0
2507,-1,0,0,0.000000," ","integrate((2+3*x)**5/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2508,-1,0,0,0.000000," ","integrate((2+3*x)**4/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2509,0,0,0,0.000000," ","integrate((2+3*x)**3/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{3}}{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((3*x + 2)**3/(sqrt(1 - 2*x)*(5*x + 3)**(5/2)), x)","F",0
2510,0,0,0,0.000000," ","integrate((2+3*x)**2/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{2}}{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((3*x + 2)**2/(sqrt(1 - 2*x)*(5*x + 3)**(5/2)), x)","F",0
2511,0,0,0,0.000000," ","integrate((2+3*x)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\int \frac{3 x + 2}{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((3*x + 2)/(sqrt(1 - 2*x)*(5*x + 3)**(5/2)), x)","F",0
2512,1,102,0,2.267807," ","integrate(1/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\begin{cases} - \frac{8 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{1815} - \frac{2 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{825 \left(x + \frac{3}{5}\right)} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{8 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{1815} - \frac{2 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{825 \left(x + \frac{3}{5}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-8*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/1815 - 2*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(825*(x + 3/5)), 11/(10*Abs(x + 3/5)) > 1), (-8*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/1815 - 2*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(825*(x + 3/5)), True))","A",0
2513,0,0,0,0.000000," ","integrate(1/(2+3*x)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right) \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)*(5*x + 3)**(5/2)), x)","F",0
2514,0,0,0,0.000000," ","integrate(1/(2+3*x)**2/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**2*(5*x + 3)**(5/2)), x)","F",0
2515,0,0,0,0.000000," ","integrate(1/(2+3*x)**3/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{3} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**3*(5*x + 3)**(5/2)), x)","F",0
2516,0,0,0,0.000000," ","integrate(1/(2+3*x)**4/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{4} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**4*(5*x + 3)**(5/2)), x)","F",0
2517,0,0,0,0.000000," ","integrate(1/(f*x+e)/(b*x+a)**(1/2)/(b*f*x-a*f+2*b*e)**(1/2),x)","\int \frac{1}{\sqrt{a + b x} \left(e + f x\right) \sqrt{- a f + 2 b e + b f x}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x)*(e + f*x)*sqrt(-a*f + 2*b*e + b*f*x)), x)","F",0
2518,-1,0,0,0.000000," ","integrate((2+3*x)**5*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2519,0,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\int \frac{\left(3 x + 2\right)^{4} \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)**4*sqrt(5*x + 3)/(1 - 2*x)**(3/2), x)","F",0
2520,0,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\int \frac{\left(3 x + 2\right)^{3} \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)**3*sqrt(5*x + 3)/(1 - 2*x)**(3/2), x)","F",0
2521,0,0,0,0.000000," ","integrate((2+3*x)**2*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\int \frac{\left(3 x + 2\right)^{2} \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)**2*sqrt(5*x + 3)/(1 - 2*x)**(3/2), x)","F",0
2522,0,0,0,0.000000," ","integrate((2+3*x)*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\int \frac{\left(3 x + 2\right) \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)*sqrt(5*x + 3)/(1 - 2*x)**(3/2), x)","F",0
2523,1,95,0,1.950057," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\begin{cases} - \frac{5 i \sqrt{x + \frac{3}{5}}}{\sqrt{10 x - 5}} + \frac{\sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{2} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{\sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{2} + \frac{5 \sqrt{x + \frac{3}{5}}}{\sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*I*sqrt(x + 3/5)/sqrt(10*x - 5) + sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/2, 10*Abs(x + 3/5)/11 > 1), (-sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/2 + 5*sqrt(x + 3/5)/sqrt(5 - 10*x), True))","A",0
2524,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x),x)","\int \frac{\sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)}\, dx"," ",0,"Integral(sqrt(5*x + 3)/((1 - 2*x)**(3/2)*(3*x + 2)), x)","F",0
2525,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**2,x)","\int \frac{\sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(5*x + 3)/((1 - 2*x)**(3/2)*(3*x + 2)**2), x)","F",0
2526,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2527,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2528,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2529,-1,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2530,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2531,0,0,0,0.000000," ","integrate((2+3*x)**2*(3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\int \frac{\left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{3}{2}}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)**2*(5*x + 3)**(3/2)/(1 - 2*x)**(3/2), x)","F",0
2532,0,0,0,0.000000," ","integrate((2+3*x)*(3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\int \frac{\left(3 x + 2\right) \left(5 x + 3\right)^{\frac{3}{2}}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)*(5*x + 3)**(3/2)/(1 - 2*x)**(3/2), x)","F",0
2533,1,144,0,2.996618," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\begin{cases} \frac{25 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{2 \sqrt{10 x - 5}} - \frac{165 i \sqrt{x + \frac{3}{5}}}{4 \sqrt{10 x - 5}} + \frac{33 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{8} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{33 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{8} - \frac{25 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{2 \sqrt{5 - 10 x}} + \frac{165 \sqrt{x + \frac{3}{5}}}{4 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((25*I*(x + 3/5)**(3/2)/(2*sqrt(10*x - 5)) - 165*I*sqrt(x + 3/5)/(4*sqrt(10*x - 5)) + 33*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/8, 10*Abs(x + 3/5)/11 > 1), (-33*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/8 - 25*(x + 3/5)**(3/2)/(2*sqrt(5 - 10*x)) + 165*sqrt(x + 3/5)/(4*sqrt(5 - 10*x)), True))","A",0
2534,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x),x)","\int \frac{\left(5 x + 3\right)^{\frac{3}{2}}}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)}\, dx"," ",0,"Integral((5*x + 3)**(3/2)/((1 - 2*x)**(3/2)*(3*x + 2)), x)","F",0
2535,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2536,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2537,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2538,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2539,-1,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2540,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2541,-1,0,0,0.000000," ","integrate((2+3*x)**2*(3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2542,0,0,0,0.000000," ","integrate((2+3*x)*(3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\int \frac{\left(3 x + 2\right) \left(5 x + 3\right)^{\frac{5}{2}}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)*(5*x + 3)**(5/2)/(1 - 2*x)**(3/2), x)","F",0
2543,1,187,0,7.747976," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\begin{cases} \frac{125 i \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{4 \sqrt{10 x - 5}} + \frac{1375 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{16 \sqrt{10 x - 5}} - \frac{9075 i \sqrt{x + \frac{3}{5}}}{32 \sqrt{10 x - 5}} + \frac{1815 \sqrt{10} i \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{64} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{1815 \sqrt{10} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{64} - \frac{125 \left(x + \frac{3}{5}\right)^{\frac{5}{2}}}{4 \sqrt{5 - 10 x}} - \frac{1375 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{16 \sqrt{5 - 10 x}} + \frac{9075 \sqrt{x + \frac{3}{5}}}{32 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((125*I*(x + 3/5)**(5/2)/(4*sqrt(10*x - 5)) + 1375*I*(x + 3/5)**(3/2)/(16*sqrt(10*x - 5)) - 9075*I*sqrt(x + 3/5)/(32*sqrt(10*x - 5)) + 1815*sqrt(10)*I*acosh(sqrt(110)*sqrt(x + 3/5)/11)/64, 10*Abs(x + 3/5)/11 > 1), (-1815*sqrt(10)*asin(sqrt(110)*sqrt(x + 3/5)/11)/64 - 125*(x + 3/5)**(5/2)/(4*sqrt(5 - 10*x)) - 1375*(x + 3/5)**(3/2)/(16*sqrt(5 - 10*x)) + 9075*sqrt(x + 3/5)/(32*sqrt(5 - 10*x)), True))","A",0
2544,0,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x),x)","\int \frac{\left(5 x + 3\right)^{\frac{5}{2}}}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)}\, dx"," ",0,"Integral((5*x + 3)**(5/2)/((1 - 2*x)**(3/2)*(3*x + 2)), x)","F",0
2545,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2546,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2547,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2548,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2549,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2550,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2551,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2552,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2553,0,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{2}}{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)**2/((1 - 2*x)**(3/2)*sqrt(5*x + 3)), x)","F",0
2554,0,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\int \frac{3 x + 2}{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)/((1 - 2*x)**(3/2)*sqrt(5*x + 3)), x)","F",0
2555,1,48,0,0.970616," ","integrate(1/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\begin{cases} \frac{\sqrt{10}}{11 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{\sqrt{10} i}{11 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(10)/(11*sqrt(-1 + 11/(10*(x + 3/5)))), 11/(10*Abs(x + 3/5)) > 1), (-sqrt(10)*I/(11*sqrt(1 - 11/(10*(x + 3/5)))), True))","A",0
2556,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right) \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2557,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)^{2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)**2*sqrt(5*x + 3)), x)","F",0
2558,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)^{3} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)**3*sqrt(5*x + 3)), x)","F",0
2559,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**4/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2560,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**5/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2561,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2562,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2563,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2564,-1,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2565,0,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\int \frac{3 x + 2}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)/((1 - 2*x)**(3/2)*(5*x + 3)**(3/2)), x)","F",0
2566,1,116,0,1.785014," ","integrate(1/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\begin{cases} \frac{40 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{605 - 1210 x} - \frac{22 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{605 - 1210 x} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{40 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{605 - 1210 x} - \frac{22 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{605 - 1210 x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((40*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)/(605 - 1210*x) - 22*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(605 - 1210*x), 11/(10*Abs(x + 3/5)) > 1), (40*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)/(605 - 1210*x) - 22*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(605 - 1210*x), True))","A",0
2567,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)/(3+5*x)**(3/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right) \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2568,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**(3/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)**2*(5*x + 3)**(3/2)), x)","F",0
2569,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**(3/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)^{3} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)**3*(5*x + 3)**(3/2)), x)","F",0
2570,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**4/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2571,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2572,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2573,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2574,-1,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2575,0,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\int \frac{3 x + 2}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((3*x + 2)/((1 - 2*x)**(3/2)*(5*x + 3)**(5/2)), x)","F",0
2576,1,230,0,4.972752," ","integrate(1/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\begin{cases} - \frac{1600 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{2}}{- 219615 x + 199650 \left(x + \frac{3}{5}\right)^{2} - 131769} + \frac{880 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{- 219615 x + 199650 \left(x + \frac{3}{5}\right)^{2} - 131769} + \frac{242 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{- 219615 x + 199650 \left(x + \frac{3}{5}\right)^{2} - 131769} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{1600 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{2}}{- 219615 x + 199650 \left(x + \frac{3}{5}\right)^{2} - 131769} + \frac{880 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{- 219615 x + 199650 \left(x + \frac{3}{5}\right)^{2} - 131769} + \frac{242 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{- 219615 x + 199650 \left(x + \frac{3}{5}\right)^{2} - 131769} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1600*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**2/(-219615*x + 199650*(x + 3/5)**2 - 131769) + 880*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)/(-219615*x + 199650*(x + 3/5)**2 - 131769) + 242*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(-219615*x + 199650*(x + 3/5)**2 - 131769), 11/(10*Abs(x + 3/5)) > 1), (-1600*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**2/(-219615*x + 199650*(x + 3/5)**2 - 131769) + 880*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)/(-219615*x + 199650*(x + 3/5)**2 - 131769) + 242*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(-219615*x + 199650*(x + 3/5)**2 - 131769), True))","A",0
2577,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)/(3+5*x)**(5/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right) \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)*(5*x + 3)**(5/2)), x)","F",0
2578,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**2/(3+5*x)**(5/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*(3*x + 2)**2*(5*x + 3)**(5/2)), x)","F",0
2579,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**3/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2580,-1,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2581,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2582,0,0,0,0.000000," ","integrate((2+3*x)**2*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\int \frac{\left(3 x + 2\right)^{2} \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((3*x + 2)**2*sqrt(5*x + 3)/(1 - 2*x)**(5/2), x)","F",0
2583,0,0,0,0.000000," ","integrate((2+3*x)*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\int \frac{\left(3 x + 2\right) \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((3*x + 2)*sqrt(5*x + 3)/(1 - 2*x)**(5/2), x)","F",0
2584,1,82,0,1.881473," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\begin{cases} \frac{250 i \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{330 \left(x + \frac{3}{5}\right) \sqrt{10 x - 5} - 363 \sqrt{10 x - 5}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\- \frac{250 \left(x + \frac{3}{5}\right)^{\frac{3}{2}}}{330 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right) - 363 \sqrt{5 - 10 x}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((250*I*(x + 3/5)**(3/2)/(330*(x + 3/5)*sqrt(10*x - 5) - 363*sqrt(10*x - 5)), 10*Abs(x + 3/5)/11 > 1), (-250*(x + 3/5)**(3/2)/(330*sqrt(5 - 10*x)*(x + 3/5) - 363*sqrt(5 - 10*x)), True))","A",0
2585,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x),x)","\int \frac{\sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)}\, dx"," ",0,"Integral(sqrt(5*x + 3)/((1 - 2*x)**(5/2)*(3*x + 2)), x)","F",0
2586,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2587,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2588,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2589,-1,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2590,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2591,-1,0,0,0.000000," ","integrate((2+3*x)**2*(3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2592,-1,0,0,0.000000," ","integrate((2+3*x)*(3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2593,1,636,0,3.867490," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\begin{cases} \frac{300 \sqrt{10} i \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5} \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{- 240 \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5} + 264 \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5}} - \frac{150 \sqrt{10} \pi \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5}}{- 240 \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5} + 264 \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5}} - \frac{330 \sqrt{10} i \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5} \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{- 240 \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5} + 264 \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5}} + \frac{165 \sqrt{10} \pi \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5}}{- 240 \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5} + 264 \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5}} - \frac{4000 i \left(x + \frac{3}{5}\right)^{8}}{- 240 \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5} + 264 \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5}} + \frac{3300 i \left(x + \frac{3}{5}\right)^{7}}{- 240 \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \sqrt{10 x - 5} + 264 \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \sqrt{10 x - 5}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{150 \sqrt{10} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{15}{2}} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{120 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{15}{2}} - 132 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{13}{2}}} - \frac{165 \sqrt{10} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{13}{2}} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{120 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{15}{2}} - 132 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{13}{2}}} - \frac{2000 \left(x + \frac{3}{5}\right)^{8}}{120 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{15}{2}} - 132 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{13}{2}}} + \frac{1650 \left(x + \frac{3}{5}\right)^{7}}{120 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{15}{2}} - 132 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{13}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((300*sqrt(10)*I*(x + 3/5)**(15/2)*sqrt(10*x - 5)*acosh(sqrt(110)*sqrt(x + 3/5)/11)/(-240*(x + 3/5)**(15/2)*sqrt(10*x - 5) + 264*(x + 3/5)**(13/2)*sqrt(10*x - 5)) - 150*sqrt(10)*pi*(x + 3/5)**(15/2)*sqrt(10*x - 5)/(-240*(x + 3/5)**(15/2)*sqrt(10*x - 5) + 264*(x + 3/5)**(13/2)*sqrt(10*x - 5)) - 330*sqrt(10)*I*(x + 3/5)**(13/2)*sqrt(10*x - 5)*acosh(sqrt(110)*sqrt(x + 3/5)/11)/(-240*(x + 3/5)**(15/2)*sqrt(10*x - 5) + 264*(x + 3/5)**(13/2)*sqrt(10*x - 5)) + 165*sqrt(10)*pi*(x + 3/5)**(13/2)*sqrt(10*x - 5)/(-240*(x + 3/5)**(15/2)*sqrt(10*x - 5) + 264*(x + 3/5)**(13/2)*sqrt(10*x - 5)) - 4000*I*(x + 3/5)**8/(-240*(x + 3/5)**(15/2)*sqrt(10*x - 5) + 264*(x + 3/5)**(13/2)*sqrt(10*x - 5)) + 3300*I*(x + 3/5)**7/(-240*(x + 3/5)**(15/2)*sqrt(10*x - 5) + 264*(x + 3/5)**(13/2)*sqrt(10*x - 5)), 10*Abs(x + 3/5)/11 > 1), (150*sqrt(10)*sqrt(5 - 10*x)*(x + 3/5)**(15/2)*asin(sqrt(110)*sqrt(x + 3/5)/11)/(120*sqrt(5 - 10*x)*(x + 3/5)**(15/2) - 132*sqrt(5 - 10*x)*(x + 3/5)**(13/2)) - 165*sqrt(10)*sqrt(5 - 10*x)*(x + 3/5)**(13/2)*asin(sqrt(110)*sqrt(x + 3/5)/11)/(120*sqrt(5 - 10*x)*(x + 3/5)**(15/2) - 132*sqrt(5 - 10*x)*(x + 3/5)**(13/2)) - 2000*(x + 3/5)**8/(120*sqrt(5 - 10*x)*(x + 3/5)**(15/2) - 132*sqrt(5 - 10*x)*(x + 3/5)**(13/2)) + 1650*(x + 3/5)**7/(120*sqrt(5 - 10*x)*(x + 3/5)**(15/2) - 132*sqrt(5 - 10*x)*(x + 3/5)**(13/2)), True))","B",0
2594,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2595,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2596,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2597,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2598,-1,0,0,0.000000," ","integrate((2+3*x)**4*(3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2599,-1,0,0,0.000000," ","integrate((2+3*x)**3*(3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2600,-1,0,0,0.000000," ","integrate((2+3*x)**2*(3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2601,-1,0,0,0.000000," ","integrate((2+3*x)*(3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2602,1,729,0,7.554177," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\begin{cases} \frac{16500 \sqrt{10} i \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{- 960 \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} + 1056 \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}} - \frac{8250 \sqrt{10} \pi \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5}}{- 960 \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} + 1056 \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}} - \frac{18150 \sqrt{10} i \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5} \operatorname{acosh}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{- 960 \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} + 1056 \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}} + \frac{9075 \sqrt{10} \pi \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}}{- 960 \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} + 1056 \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}} + \frac{30000 i \left(x + \frac{3}{5}\right)^{15}}{- 960 \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} + 1056 \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}} - \frac{220000 i \left(x + \frac{3}{5}\right)^{14}}{- 960 \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} + 1056 \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}} + \frac{181500 i \left(x + \frac{3}{5}\right)^{13}}{- 960 \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \sqrt{10 x - 5} + 1056 \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \sqrt{10 x - 5}} & \text{for}\: \frac{10 \left|{x + \frac{3}{5}}\right|}{11} > 1 \\\frac{8250 \sqrt{10} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{27}{2}} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{480 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{27}{2}} - 528 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{25}{2}}} - \frac{9075 \sqrt{10} \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{25}{2}} \operatorname{asin}{\left(\frac{\sqrt{110} \sqrt{x + \frac{3}{5}}}{11} \right)}}{480 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{27}{2}} - 528 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{25}{2}}} + \frac{15000 \left(x + \frac{3}{5}\right)^{15}}{480 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{27}{2}} - 528 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{25}{2}}} - \frac{110000 \left(x + \frac{3}{5}\right)^{14}}{480 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{27}{2}} - 528 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{25}{2}}} + \frac{90750 \left(x + \frac{3}{5}\right)^{13}}{480 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{27}{2}} - 528 \sqrt{5 - 10 x} \left(x + \frac{3}{5}\right)^{\frac{25}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((16500*sqrt(10)*I*(x + 3/5)**(27/2)*sqrt(10*x - 5)*acosh(sqrt(110)*sqrt(x + 3/5)/11)/(-960*(x + 3/5)**(27/2)*sqrt(10*x - 5) + 1056*(x + 3/5)**(25/2)*sqrt(10*x - 5)) - 8250*sqrt(10)*pi*(x + 3/5)**(27/2)*sqrt(10*x - 5)/(-960*(x + 3/5)**(27/2)*sqrt(10*x - 5) + 1056*(x + 3/5)**(25/2)*sqrt(10*x - 5)) - 18150*sqrt(10)*I*(x + 3/5)**(25/2)*sqrt(10*x - 5)*acosh(sqrt(110)*sqrt(x + 3/5)/11)/(-960*(x + 3/5)**(27/2)*sqrt(10*x - 5) + 1056*(x + 3/5)**(25/2)*sqrt(10*x - 5)) + 9075*sqrt(10)*pi*(x + 3/5)**(25/2)*sqrt(10*x - 5)/(-960*(x + 3/5)**(27/2)*sqrt(10*x - 5) + 1056*(x + 3/5)**(25/2)*sqrt(10*x - 5)) + 30000*I*(x + 3/5)**15/(-960*(x + 3/5)**(27/2)*sqrt(10*x - 5) + 1056*(x + 3/5)**(25/2)*sqrt(10*x - 5)) - 220000*I*(x + 3/5)**14/(-960*(x + 3/5)**(27/2)*sqrt(10*x - 5) + 1056*(x + 3/5)**(25/2)*sqrt(10*x - 5)) + 181500*I*(x + 3/5)**13/(-960*(x + 3/5)**(27/2)*sqrt(10*x - 5) + 1056*(x + 3/5)**(25/2)*sqrt(10*x - 5)), 10*Abs(x + 3/5)/11 > 1), (8250*sqrt(10)*sqrt(5 - 10*x)*(x + 3/5)**(27/2)*asin(sqrt(110)*sqrt(x + 3/5)/11)/(480*sqrt(5 - 10*x)*(x + 3/5)**(27/2) - 528*sqrt(5 - 10*x)*(x + 3/5)**(25/2)) - 9075*sqrt(10)*sqrt(5 - 10*x)*(x + 3/5)**(25/2)*asin(sqrt(110)*sqrt(x + 3/5)/11)/(480*sqrt(5 - 10*x)*(x + 3/5)**(27/2) - 528*sqrt(5 - 10*x)*(x + 3/5)**(25/2)) + 15000*(x + 3/5)**15/(480*sqrt(5 - 10*x)*(x + 3/5)**(27/2) - 528*sqrt(5 - 10*x)*(x + 3/5)**(25/2)) - 110000*(x + 3/5)**14/(480*sqrt(5 - 10*x)*(x + 3/5)**(27/2) - 528*sqrt(5 - 10*x)*(x + 3/5)**(25/2)) + 90750*(x + 3/5)**13/(480*sqrt(5 - 10*x)*(x + 3/5)**(27/2) - 528*sqrt(5 - 10*x)*(x + 3/5)**(25/2)), True))","B",0
2603,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2604,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2605,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2606,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2607,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2608,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2609,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2610,0,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{3}}{\left(1 - 2 x\right)^{\frac{5}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)**3/((1 - 2*x)**(5/2)*sqrt(5*x + 3)), x)","F",0
2611,0,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{2}}{\left(1 - 2 x\right)^{\frac{5}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)**2/((1 - 2*x)**(5/2)*sqrt(5*x + 3)), x)","F",0
2612,0,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\int \frac{3 x + 2}{\left(1 - 2 x\right)^{\frac{5}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)/((1 - 2*x)**(5/2)*sqrt(5*x + 3)), x)","F",0
2613,1,177,0,2.860173," ","integrate(1/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\begin{cases} \frac{100 \sqrt{10} \left(x + \frac{3}{5}\right)}{3630 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right) - 3993 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}} - \frac{165 \sqrt{10}}{3630 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right) - 3993 \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{100 \sqrt{10} i \left(x + \frac{3}{5}\right)}{3630 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right) - 3993 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}} + \frac{165 \sqrt{10} i}{3630 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right) - 3993 \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((100*sqrt(10)*(x + 3/5)/(3630*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5) - 3993*sqrt(-1 + 11/(10*(x + 3/5)))) - 165*sqrt(10)/(3630*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5) - 3993*sqrt(-1 + 11/(10*(x + 3/5)))), 11/(10*Abs(x + 3/5)) > 1), (-100*sqrt(10)*I*(x + 3/5)/(3630*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5) - 3993*sqrt(1 - 11/(10*(x + 3/5)))) + 165*sqrt(10)*I/(3630*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5) - 3993*sqrt(1 - 11/(10*(x + 3/5)))), True))","B",0
2614,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right) \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2615,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)^{2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)**2*sqrt(5*x + 3)), x)","F",0
2616,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)^{3} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)**3*sqrt(5*x + 3)), x)","F",0
2617,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**4/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)^{4} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)**4*sqrt(5*x + 3)), x)","F",0
2618,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2619,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2620,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2621,0,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\int \frac{\left(3 x + 2\right)^{2}}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)**2/((1 - 2*x)**(5/2)*(5*x + 3)**(3/2)), x)","F",0
2622,0,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\int \frac{3 x + 2}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x + 2)/((1 - 2*x)**(5/2)*(5*x + 3)**(3/2)), x)","F",0
2623,1,230,0,4.724390," ","integrate(1/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\begin{cases} - \frac{8000 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{2}}{- 878460 x + 399300 \left(x + \frac{3}{5}\right)^{2} - 43923} + \frac{13200 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{- 878460 x + 399300 \left(x + \frac{3}{5}\right)^{2} - 43923} - \frac{3630 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{- 878460 x + 399300 \left(x + \frac{3}{5}\right)^{2} - 43923} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\- \frac{8000 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{2}}{- 878460 x + 399300 \left(x + \frac{3}{5}\right)^{2} - 43923} + \frac{13200 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{- 878460 x + 399300 \left(x + \frac{3}{5}\right)^{2} - 43923} - \frac{3630 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{- 878460 x + 399300 \left(x + \frac{3}{5}\right)^{2} - 43923} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-8000*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**2/(-878460*x + 399300*(x + 3/5)**2 - 43923) + 13200*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)/(-878460*x + 399300*(x + 3/5)**2 - 43923) - 3630*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(-878460*x + 399300*(x + 3/5)**2 - 43923), 11/(10*Abs(x + 3/5)) > 1), (-8000*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**2/(-878460*x + 399300*(x + 3/5)**2 - 43923) + 13200*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)/(-878460*x + 399300*(x + 3/5)**2 - 43923) - 3630*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(-878460*x + 399300*(x + 3/5)**2 - 43923), True))","A",0
2624,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)/(3+5*x)**(3/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right) \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2625,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**(3/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)**2*(5*x + 3)**(3/2)), x)","F",0
2626,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**(3/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)^{3} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)**3*(5*x + 3)**(3/2)), x)","F",0
2627,-1,0,0,0.000000," ","integrate((2+3*x)**6/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2628,-1,0,0,0.000000," ","integrate((2+3*x)**5/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2629,-1,0,0,0.000000," ","integrate((2+3*x)**4/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2630,-1,0,0,0.000000," ","integrate((2+3*x)**3/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2631,-1,0,0,0.000000," ","integrate((2+3*x)**2/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2632,0,0,0,0.000000," ","integrate((2+3*x)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\int \frac{3 x + 2}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((3*x + 2)/((1 - 2*x)**(5/2)*(5*x + 3)**(5/2)), x)","F",0
2633,1,391,0,8.556029," ","integrate(1/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\begin{cases} \frac{32000 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{3}}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} - \frac{52800 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{2}}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} + \frac{14520 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} + \frac{2662 \sqrt{10} \sqrt{-1 + \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} & \text{for}\: \frac{11}{10 \left|{x + \frac{3}{5}}\right|} > 1 \\\frac{32000 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{3}}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} - \frac{52800 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)^{2}}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} + \frac{14520 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}} \left(x + \frac{3}{5}\right)}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} + \frac{2662 \sqrt{10} i \sqrt{1 - \frac{11}{10 \left(x + \frac{3}{5}\right)}}}{- 5314683 x - 4392300 \left(x + \frac{3}{5}\right)^{3} + 9663060 \left(x + \frac{3}{5}\right)^{2} - \frac{15944049}{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((32000*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**3/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5) - 52800*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)**2/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5) + 14520*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))*(x + 3/5)/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5) + 2662*sqrt(10)*sqrt(-1 + 11/(10*(x + 3/5)))/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5), 11/(10*Abs(x + 3/5)) > 1), (32000*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**3/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5) - 52800*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)**2/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5) + 14520*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))*(x + 3/5)/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5) + 2662*sqrt(10)*I*sqrt(1 - 11/(10*(x + 3/5)))/(-5314683*x - 4392300*(x + 3/5)**3 + 9663060*(x + 3/5)**2 - 15944049/5), True))","B",0
2634,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)/(3+5*x)**(5/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right) \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)*(5*x + 3)**(5/2)), x)","F",0
2635,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**2/(3+5*x)**(5/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)^{2} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)**2*(5*x + 3)**(5/2)), x)","F",0
2636,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**3/(3+5*x)**(5/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \left(3 x + 2\right)^{3} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*(3*x + 2)**3*(5*x + 3)**(5/2)), x)","F",0
2637,-1,0,0,0.000000," ","integrate(1/(b*x+a)**(1/2)/(c+b*(-1+c)*x/a)**(1/2)/(e+b*(-1+e)*x/a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2638,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/2)/(d*x+c)**(1/2)/(e+b*(-1+e)*x/a)**(1/2),x)","\int \frac{1}{\sqrt{a + b x} \sqrt{c + d x} \sqrt{e + \frac{b e x}{a} - \frac{b x}{a}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x)*sqrt(c + d*x)*sqrt(e + b*e*x/a - b*x/a)), x)","F",0
2639,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/2)/(d*x+c)**(1/2)/(f*x+e)**(1/2),x)","\int \frac{1}{\sqrt{a + b x} \sqrt{c + d x} \sqrt{e + f x}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x)*sqrt(c + d*x)*sqrt(e + f*x)), x)","F",0
2640,0,0,0,0.000000," ","integrate((e+b*(-1+e)*x/a)**(1/2)/(b*x+a)**(1/2)/(c+b*(-1+c)*x/a)**(1/2),x)","\int \frac{\sqrt{e + \frac{b e x}{a} - \frac{b x}{a}}}{\sqrt{a + b x} \sqrt{c + \frac{b c x}{a} - \frac{b x}{a}}}\, dx"," ",0,"Integral(sqrt(e + b*e*x/a - b*x/a)/(sqrt(a + b*x)*sqrt(c + b*c*x/a - b*x/a)), x)","F",0
2641,0,0,0,0.000000," ","integrate((d*x+c)**(1/2)/(b*x+a)**(1/2)/(e+b*(-1+e)*x/a)**(1/2),x)","\int \frac{\sqrt{c + d x}}{\sqrt{a + b x} \sqrt{e + \frac{b e x}{a} - \frac{b x}{a}}}\, dx"," ",0,"Integral(sqrt(c + d*x)/(sqrt(a + b*x)*sqrt(e + b*e*x/a - b*x/a)), x)","F",0
2642,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)/(c+b*(-1+c)*x/a)**(1/2)/(e+b*(-1+e)*x/a)**(1/2),x)","\int \frac{\sqrt{a + b x}}{\sqrt{c + \frac{b c x}{a} - \frac{b x}{a}} \sqrt{e + \frac{b e x}{a} - \frac{b x}{a}}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(sqrt(c + b*c*x/a - b*x/a)*sqrt(e + b*e*x/a - b*x/a)), x)","F",0
2643,0,0,0,0.000000," ","integrate((f*x+e)**(1/2)/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{\sqrt{e + f x}}{\sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(e + f*x)/(sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
2644,0,0,0,0.000000," ","integrate(1/(d*x-c)**(1/2)/(d*x+c)**(1/2)/(f*x+e)**(1/2),x)","\int \frac{1}{\sqrt{- c + d x} \sqrt{c + d x} \sqrt{e + f x}}\, dx"," ",0,"Integral(1/(sqrt(-c + d*x)*sqrt(c + d*x)*sqrt(e + f*x)), x)","F",0
2645,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(1-2*x)**(1/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2646,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(1-2*x)**(1/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2647,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(2+3*x)**(1/2)*(3+5*x)**(1/2),x)","\int \sqrt{1 - 2 x} \sqrt{3 x + 2} \sqrt{5 x + 3}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(3*x + 2)*sqrt(5*x + 3), x)","F",0
2648,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x} \sqrt{5 x + 3}}{\sqrt{3 x + 2}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(5*x + 3)/sqrt(3*x + 2), x)","F",0
2649,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2650,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2651,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2652,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(3+5*x)**(1/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2653,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(3/2)*(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2654,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(3/2)*(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2655,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)*(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2656,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}{\sqrt{3 x + 2}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(5*x + 3)**(3/2)/sqrt(3*x + 2), x)","F",0
2657,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2658,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2659,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2660,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2661,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(1-2*x)**(1/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2662,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(5/2)*(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2663,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(5/2)*(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2664,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)*(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2665,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2666,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2667,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2668,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2669,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2670,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2671,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(1-2*x)**(1/2)/(2+3*x)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2672,0,0,0,0.000000," ","integrate((f*x+e)**(1/2)/(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\int \frac{\sqrt{e + f x}}{\sqrt{a + b x} \sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(e + f*x)/(sqrt(a + b*x)*sqrt(c + d*x)), x)","F",0
2673,0,0,0,0.000000," ","integrate((f*x+e)**(1/2)/(b*x+a)**(3/2)/(d*x+c)**(1/2),x)","\int \frac{\sqrt{e + f x}}{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x}}\, dx"," ",0,"Integral(sqrt(e + f*x)/((a + b*x)**(3/2)*sqrt(c + d*x)), x)","F",0
2674,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(-3-5*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x}}{\sqrt{- 5 x - 3} \sqrt{3 x + 2}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/(sqrt(-5*x - 3)*sqrt(3*x + 2)), x)","F",0
2675,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2676,0,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x} \left(3 x + 2\right)^{\frac{3}{2}}}{\sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*(3*x + 2)**(3/2)/sqrt(5*x + 3), x)","F",0
2677,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x} \sqrt{3 x + 2}}{\sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)*sqrt(3*x + 2)/sqrt(5*x + 3), x)","F",0
2678,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x}}{\sqrt{3 x + 2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/(sqrt(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2679,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(3/2)/(3+5*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x}}{\left(3 x + 2\right)^{\frac{3}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/((3*x + 2)**(3/2)*sqrt(5*x + 3)), x)","F",0
2680,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2681,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(7/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2682,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(1-2*x)**(1/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2683,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(1-2*x)**(1/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2684,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(1-2*x)**(1/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2685,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(2+3*x)**(1/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2686,0,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(3+5*x)**(3/2)/(2+3*x)**(1/2),x)","\int \frac{\sqrt{1 - 2 x}}{\sqrt{3 x + 2} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(1 - 2*x)/(sqrt(3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2687,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2688,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2689,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(7/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2690,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2691,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2692,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2693,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(1-2*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2694,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)*(2+3*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2695,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(3+5*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2696,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2697,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2698,-1,0,0,0.000000," ","integrate((1-2*x)**(1/2)/(2+3*x)**(7/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2699,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(5/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2700,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(3/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2701,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(1/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2702,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{5 x + 3}}{\sqrt{3 x + 2}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)*sqrt(5*x + 3)/sqrt(3*x + 2), x)","F",0
2703,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2704,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2705,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2706,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2707,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(1/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2708,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(5/2)*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2709,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(3/2)*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2710,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)*(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2711,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2712,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2713,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2714,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2715,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2716,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2717,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(3/2)/(2+3*x)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2718,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(5/2)*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2719,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(3/2)*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2720,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)*(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2721,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2722,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2723,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2724,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2725,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2726,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2727,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2728,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(3+5*x)**(5/2)/(2+3*x)**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2729,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2730,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2731,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{3 x + 2}}{\sqrt{5 x + 3}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)*sqrt(3*x + 2)/sqrt(5*x + 3), x)","F",0
2732,0,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\left(1 - 2 x\right)^{\frac{3}{2}}}{\sqrt{3 x + 2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((1 - 2*x)**(3/2)/(sqrt(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2733,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2734,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2735,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(7/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2736,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(9/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2737,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(7/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2738,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2739,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2740,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(1/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2741,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(3+5*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2742,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2743,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2744,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(7/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2745,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(9/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2746,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(7/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2747,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2748,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2749,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)*(2+3*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2750,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(3+5*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2751,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2752,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2753,-1,0,0,0.000000," ","integrate((1-2*x)**(3/2)/(2+3*x)**(7/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2754,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(5/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2755,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(3/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2756,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(1/2)*(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2757,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2758,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2759,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2760,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2761,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2762,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2763,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(1/2)/(2+3*x)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2764,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(5/2)*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2765,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(3/2)*(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2766,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)*(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2767,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2768,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2769,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2770,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2771,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2772,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2773,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2774,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(3/2)/(2+3*x)**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2775,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(3/2)*(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2776,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)*(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2777,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2778,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2779,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2780,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2781,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2782,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2783,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2784,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2785,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(3+5*x)**(5/2)/(2+3*x)**(17/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2786,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2787,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2788,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2789,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2790,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2791,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2792,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(7/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2793,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(9/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2794,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(11/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2795,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(13/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2796,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(7/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2797,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2798,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2799,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(1/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2800,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(3+5*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2801,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2802,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2803,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(7/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2804,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(9/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2805,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(11/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2806,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(7/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2807,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2808,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2809,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)*(2+3*x)**(1/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2810,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(3+5*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2811,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2812,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2813,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(7/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2814,-1,0,0,0.000000," ","integrate((1-2*x)**(5/2)/(2+3*x)**(9/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2815,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2816,0,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{\frac{3}{2}} \sqrt{5 x + 3}}{\sqrt{1 - 2 x}}\, dx"," ",0,"Integral((3*x + 2)**(3/2)*sqrt(5*x + 3)/sqrt(1 - 2*x), x)","F",0
2817,0,0,0,0.000000," ","integrate((2+3*x)**(1/2)*(3+5*x)**(1/2)/(1-2*x)**(1/2),x)","\int \frac{\sqrt{3 x + 2} \sqrt{5 x + 3}}{\sqrt{1 - 2 x}}\, dx"," ",0,"Integral(sqrt(3*x + 2)*sqrt(5*x + 3)/sqrt(1 - 2*x), x)","F",0
2818,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{\sqrt{5 x + 3}}{\sqrt{1 - 2 x} \sqrt{3 x + 2}}\, dx"," ",0,"Integral(sqrt(5*x + 3)/(sqrt(1 - 2*x)*sqrt(3*x + 2)), x)","F",0
2819,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{\sqrt{5 x + 3}}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(5*x + 3)/(sqrt(1 - 2*x)*(3*x + 2)**(3/2)), x)","F",0
2820,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2821,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(2+3*x)**(7/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2822,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2823,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2824,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(2+3*x)**(1/2)/(1-2*x)**(1/2),x)","\int \frac{\sqrt{3 x + 2} \left(5 x + 3\right)^{\frac{3}{2}}}{\sqrt{1 - 2 x}}\, dx"," ",0,"Integral(sqrt(3*x + 2)*(5*x + 3)**(3/2)/sqrt(1 - 2*x), x)","F",0
2825,0,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{\left(5 x + 3\right)^{\frac{3}{2}}}{\sqrt{1 - 2 x} \sqrt{3 x + 2}}\, dx"," ",0,"Integral((5*x + 3)**(3/2)/(sqrt(1 - 2*x)*sqrt(3*x + 2)), x)","F",0
2826,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2827,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2828,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**(7/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2829,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(2+3*x)**(9/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2830,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2831,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2832,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2833,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(2+3*x)**(1/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2834,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(1/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2835,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2836,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2837,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**(7/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2838,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**(9/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2839,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**(11/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2840,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(2+3*x)**(13/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2841,1,65,0,7.359185," ","integrate(1/(1+x)**(1/2)/(2+x)**(1/2)/(3+x)**(1/2),x)","- \frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{1}{\left(x + 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{{G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{e^{2 i \pi}}{\left(x + 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), (x + 2)**(-2))/(4*pi**(3/2)) + meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), exp_polar(2*I*pi)/(x + 2)**2)/(4*pi**(3/2))","C",0
2842,0,0,0,0.000000," ","integrate(1/(3-x)**(1/2)/(1+x)**(1/2)/(2+x)**(1/2),x)","\int \frac{1}{\sqrt{3 - x} \sqrt{x + 1} \sqrt{x + 2}}\, dx"," ",0,"Integral(1/(sqrt(3 - x)*sqrt(x + 1)*sqrt(x + 2)), x)","F",0
2843,0,0,0,0.000000," ","integrate(1/(2-x)**(1/2)/(1+x)**(1/2)/(3+x)**(1/2),x)","\int \frac{1}{\sqrt{2 - x} \sqrt{x + 1} \sqrt{x + 3}}\, dx"," ",0,"Integral(1/(sqrt(2 - x)*sqrt(x + 1)*sqrt(x + 3)), x)","F",0
2844,0,0,0,0.000000," ","integrate(1/(2-x)**(1/2)/(3-x)**(1/2)/(1+x)**(1/2),x)","\int \frac{1}{\sqrt{2 - x} \sqrt{3 - x} \sqrt{x + 1}}\, dx"," ",0,"Integral(1/(sqrt(2 - x)*sqrt(3 - x)*sqrt(x + 1)), x)","F",0
2845,0,0,0,0.000000," ","integrate(1/(1-x)**(1/2)/(2+x)**(1/2)/(3+x)**(1/2),x)","\int \frac{1}{\sqrt{1 - x} \sqrt{x + 2} \sqrt{x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - x)*sqrt(x + 2)*sqrt(x + 3)), x)","F",0
2846,0,0,0,0.000000," ","integrate(1/(1-x)**(1/2)/(3-x)**(1/2)/(2+x)**(1/2),x)","\int \frac{1}{\sqrt{1 - x} \sqrt{3 - x} \sqrt{x + 2}}\, dx"," ",0,"Integral(1/(sqrt(1 - x)*sqrt(3 - x)*sqrt(x + 2)), x)","F",0
2847,0,0,0,0.000000," ","integrate(1/(1-x)**(1/2)/(2-x)**(1/2)/(3+x)**(1/2),x)","\int \frac{1}{\sqrt{1 - x} \sqrt{2 - x} \sqrt{x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - x)*sqrt(2 - x)*sqrt(x + 3)), x)","F",0
2848,1,66,0,7.576481," ","integrate(1/(1-x)**(1/2)/(2-x)**(1/2)/(3-x)**(1/2),x)","\frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{\left(x - 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{{G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{1}{\left(x - 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), exp_polar(-2*I*pi)/(x - 2)**2)/(4*pi**(3/2)) - meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), (x - 2)**(-2))/(4*pi**(3/2))","C",0
2849,1,65,0,7.499581," ","integrate(1/(-3+x)**(1/2)/(-2+x)**(1/2)/(-1+x)**(1/2),x)","- \frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{1}{\left(x - 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{{G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{e^{2 i \pi}}{\left(x - 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), (x - 2)**(-2))/(4*pi**(3/2)) + meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), exp_polar(2*I*pi)/(x - 2)**2)/(4*pi**(3/2))","C",0
2850,0,0,0,0.000000," ","integrate(1/(-3-x)**(1/2)/(-2+x)**(1/2)/(-1+x)**(1/2),x)","\int \frac{1}{\sqrt{- x - 3} \sqrt{x - 2} \sqrt{x - 1}}\, dx"," ",0,"Integral(1/(sqrt(-x - 3)*sqrt(x - 2)*sqrt(x - 1)), x)","F",0
2851,0,0,0,0.000000," ","integrate(1/(-2-x)**(1/2)/(-3+x)**(1/2)/(-1+x)**(1/2),x)","\int \frac{1}{\sqrt{- x - 2} \sqrt{x - 3} \sqrt{x - 1}}\, dx"," ",0,"Integral(1/(sqrt(-x - 2)*sqrt(x - 3)*sqrt(x - 1)), x)","F",0
2852,0,0,0,0.000000," ","integrate(1/(-3-x)**(1/2)/(-2-x)**(1/2)/(-1+x)**(1/2),x)","\int \frac{1}{\sqrt{- x - 3} \sqrt{- x - 2} \sqrt{x - 1}}\, dx"," ",0,"Integral(1/(sqrt(-x - 3)*sqrt(-x - 2)*sqrt(x - 1)), x)","F",0
2853,0,0,0,0.000000," ","integrate(1/(-1-x)**(1/2)/(-3+x)**(1/2)/(-2+x)**(1/2),x)","\int \frac{1}{\sqrt{- x - 1} \sqrt{x - 3} \sqrt{x - 2}}\, dx"," ",0,"Integral(1/(sqrt(-x - 1)*sqrt(x - 3)*sqrt(x - 2)), x)","F",0
2854,0,0,0,0.000000," ","integrate(1/(-3-x)**(1/2)/(-1-x)**(1/2)/(-2+x)**(1/2),x)","\int \frac{1}{\sqrt{- x - 3} \sqrt{- x - 1} \sqrt{x - 2}}\, dx"," ",0,"Integral(1/(sqrt(-x - 3)*sqrt(-x - 1)*sqrt(x - 2)), x)","F",0
2855,0,0,0,0.000000," ","integrate(1/(-2-x)**(1/2)/(-1-x)**(1/2)/(-3+x)**(1/2),x)","\int \frac{1}{\sqrt{- x - 2} \sqrt{- x - 1} \sqrt{x - 3}}\, dx"," ",0,"Integral(1/(sqrt(-x - 2)*sqrt(-x - 1)*sqrt(x - 3)), x)","F",0
2856,1,66,0,7.365298," ","integrate(1/(-3-x)**(1/2)/(-2-x)**(1/2)/(-1-x)**(1/2),x)","\frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{\left(x + 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{{G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{1}{\left(x + 2\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), exp_polar(-2*I*pi)/(x + 2)**2)/(4*pi**(3/2)) - meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), (x + 2)**(-2))/(4*pi**(3/2))","C",0
2857,0,0,0,0.000000," ","integrate(1/(b*x+a)**(3/2)/(d*x+c)**(1/2)/(f*x+e)**(1/2),x)","\int \frac{1}{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x} \sqrt{e + f x}}\, dx"," ",0,"Integral(1/((a + b*x)**(3/2)*sqrt(c + d*x)*sqrt(e + f*x)), x)","F",0
2858,0,0,0,0.000000," ","integrate(1/(b*x+a)**(5/2)/(d*x+c)**(1/2)/(f*x+e)**(1/2),x)","\int \frac{1}{\left(a + b x\right)^{\frac{5}{2}} \sqrt{c + d x} \sqrt{e + f x}}\, dx"," ",0,"Integral(1/((a + b*x)**(5/2)*sqrt(c + d*x)*sqrt(e + f*x)), x)","F",0
2859,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2860,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2861,0,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\left(3 x + 2\right)^{\frac{3}{2}}}{\sqrt{1 - 2 x} \sqrt{5 x + 3}}\, dx"," ",0,"Integral((3*x + 2)**(3/2)/(sqrt(1 - 2*x)*sqrt(5*x + 3)), x)","F",0
2862,0,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{\sqrt{3 x + 2}}{\sqrt{1 - 2 x} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(3*x + 2)/(sqrt(1 - 2*x)*sqrt(5*x + 3)), x)","F",0
2863,0,0,0,0.000000," ","integrate(1/(1-2*x)**(1/2)/(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \sqrt{3 x + 2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*sqrt(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2864,0,0,0,0.000000," ","integrate(1/(2+3*x)**(3/2)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{\frac{3}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**(3/2)*sqrt(5*x + 3)), x)","F",0
2865,0,0,0,0.000000," ","integrate(1/(2+3*x)**(5/2)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{\frac{5}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**(5/2)*sqrt(5*x + 3)), x)","F",0
2866,-1,0,0,0.000000," ","integrate(1/(2+3*x)**(7/2)/(1-2*x)**(1/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2867,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2868,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2869,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2870,0,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{\sqrt{3 x + 2}}{\sqrt{1 - 2 x} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(3*x + 2)/(sqrt(1 - 2*x)*(5*x + 3)**(3/2)), x)","F",0
2871,0,0,0,0.000000," ","integrate(1/(3+5*x)**(3/2)/(1-2*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \sqrt{3 x + 2} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*sqrt(3*x + 2)*(5*x + 3)**(3/2)), x)","F",0
2872,0,0,0,0.000000," ","integrate(1/(2+3*x)**(3/2)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \left(3 x + 2\right)^{\frac{3}{2}} \left(5 x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*(3*x + 2)**(3/2)*(5*x + 3)**(3/2)), x)","F",0
2873,-1,0,0,0.000000," ","integrate(1/(2+3*x)**(5/2)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2874,-1,0,0,0.000000," ","integrate(1/(2+3*x)**(7/2)/(3+5*x)**(3/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2875,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2876,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2877,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2878,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2879,-1,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2880,0,0,0,0.000000," ","integrate(1/(3+5*x)**(5/2)/(1-2*x)**(1/2)/(2+3*x)**(1/2),x)","\int \frac{1}{\sqrt{1 - 2 x} \sqrt{3 x + 2} \left(5 x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(1 - 2*x)*sqrt(3*x + 2)*(5*x + 3)**(5/2)), x)","F",0
2881,-1,0,0,0.000000," ","integrate(1/(2+3*x)**(3/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2882,-1,0,0,0.000000," ","integrate(1/(2+3*x)**(5/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2883,-1,0,0,0.000000," ","integrate(1/(2+3*x)**(7/2)/(3+5*x)**(5/2)/(1-2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2884,0,0,0,0.000000," ","integrate(x**(1/2)/(a+2*x)**(1/2)/(c+2*x)**(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{a + 2 x} \sqrt{c + 2 x}}\, dx"," ",0,"Integral(sqrt(x)/(sqrt(a + 2*x)*sqrt(c + 2*x)), x)","F",0
2885,1,66,0,8.071608," ","integrate(1/(4-x)**(1/2)/(5-x)**(1/2)/(-3+x)**(1/2),x)","\frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{1}{2}, 1, 1 & \frac{3}{4}, \frac{3}{4}, \frac{5}{4} \\\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4} & 0 \end{matrix} \middle| {\frac{1}{\left(x - 4\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{{G_{6, 6}^{3, 5}\left(\begin{matrix} - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4} & 1 \\0, \frac{1}{2}, 0 & - \frac{1}{4}, \frac{1}{4}, \frac{1}{4} \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{\left(x - 4\right)^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"meijerg(((1/2, 1, 1), (3/4, 3/4, 5/4)), ((1/4, 1/2, 3/4, 1, 5/4), (0,)), (x - 4)**(-2))/(4*pi**(3/2)) - meijerg(((-1/4, 0, 1/4, 1/2, 3/4), (1,)), ((0, 1/2, 0), (-1/4, 1/4, 1/4)), exp_polar(-2*I*pi)/(x - 4)**2)/(4*pi**(3/2))","C",0
2886,0,0,0,0.000000," ","integrate(1/(4-x)**(1/2)/((5-x)*(-3+x))**(1/2),x)","\int \frac{1}{\sqrt{- \left(x - 5\right) \left(x - 3\right)} \sqrt{4 - x}}\, dx"," ",0,"Integral(1/(sqrt(-(x - 5)*(x - 3))*sqrt(4 - x)), x)","F",0
2887,0,0,0,0.000000," ","integrate(1/(4-x)**(1/2)/(-x**2+8*x-15)**(1/2),x)","\int \frac{1}{\sqrt{- \left(x - 5\right) \left(x - 3\right)} \sqrt{4 - x}}\, dx"," ",0,"Integral(1/(sqrt(-(x - 5)*(x - 3))*sqrt(4 - x)), x)","F",0
2888,0,0,0,0.000000," ","integrate(1/(6-x)**(1/2)/(-2+x)**(1/2)/(-1+x)**(1/2),x)","\int \frac{1}{\sqrt{6 - x} \sqrt{x - 2} \sqrt{x - 1}}\, dx"," ",0,"Integral(1/(sqrt(6 - x)*sqrt(x - 2)*sqrt(x - 1)), x)","F",0
2889,0,0,0,0.000000," ","integrate(1/((6-x)*(-2+x))**(1/2)/(-1+x)**(1/2),x)","\int \frac{1}{\sqrt{- \left(x - 6\right) \left(x - 2\right)} \sqrt{x - 1}}\, dx"," ",0,"Integral(1/(sqrt(-(x - 6)*(x - 2))*sqrt(x - 1)), x)","F",0
2890,0,0,0,0.000000," ","integrate(1/(-1+x)**(1/2)/(-x**2+8*x-12)**(1/2),x)","\int \frac{1}{\sqrt{- \left(x - 6\right) \left(x - 2\right)} \sqrt{x - 1}}\, dx"," ",0,"Integral(1/(sqrt(-(x - 6)*(x - 2))*sqrt(x - 1)), x)","F",0
2891,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2892,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2893,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2894,0,0,0,0.000000," ","integrate((2+3*x)**(1/2)*(3+5*x)**(1/2)/(1-2*x)**(3/2),x)","\int \frac{\sqrt{3 x + 2} \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(3*x + 2)*sqrt(5*x + 3)/(1 - 2*x)**(3/2), x)","F",0
2895,0,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**(1/2),x)","\int \frac{\sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{3 x + 2}}\, dx"," ",0,"Integral(sqrt(5*x + 3)/((1 - 2*x)**(3/2)*sqrt(3*x + 2)), x)","F",0
2896,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2897,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2898,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(3/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2899,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2900,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2901,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(3/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2902,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(2+3*x)**(1/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2903,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2904,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2905,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2906,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2907,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(3/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2908,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2909,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2910,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(5/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2911,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(2+3*x)**(1/2)/(1-2*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2912,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2913,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2914,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2915,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2916,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2917,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(3/2)/(2+3*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2918,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2919,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2920,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2921,0,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(1-2*x)**(3/2)/(3+5*x)**(1/2),x)","\int \frac{\sqrt{3 x + 2}}{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(sqrt(3*x + 2)/((1 - 2*x)**(3/2)*sqrt(5*x + 3)), x)","F",0
2922,0,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{3}{2}} \sqrt{3 x + 2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(3/2)*sqrt(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2923,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2924,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2925,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(7/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2926,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2927,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2928,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2929,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2930,-1,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(1-2*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2931,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(3+5*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2932,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2933,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2934,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(7/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2935,-1,0,0,0.000000," ","integrate((2+3*x)**(11/2)/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2936,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2937,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2938,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2939,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2940,-1,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(1-2*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2941,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(3+5*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2942,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2943,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2944,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(3/2)/(2+3*x)**(7/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2945,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2946,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2947,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2948,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2949,0,0,0,0.000000," ","integrate((2+3*x)**(1/2)*(3+5*x)**(1/2)/(1-2*x)**(5/2),x)","\int \frac{\sqrt{3 x + 2} \sqrt{5 x + 3}}{\left(1 - 2 x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(3*x + 2)*sqrt(5*x + 3)/(1 - 2*x)**(5/2), x)","F",0
2950,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2951,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2952,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2953,-1,0,0,0.000000," ","integrate((3+5*x)**(1/2)/(1-2*x)**(5/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2954,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2955,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2956,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(3/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2957,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)*(2+3*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2958,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2959,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2960,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2961,-1,0,0,0.000000," ","integrate((3+5*x)**(3/2)/(1-2*x)**(5/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2962,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)*(3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2963,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)*(3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2964,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)*(3+5*x)**(5/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2965,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)*(2+3*x)**(1/2)/(1-2*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2966,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2967,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2968,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2969,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2970,-1,0,0,0.000000," ","integrate((3+5*x)**(5/2)/(1-2*x)**(5/2)/(2+3*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2971,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2972,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2973,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2974,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2975,-1,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(1-2*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2976,0,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(1/2)/(3+5*x)**(1/2),x)","\int \frac{1}{\left(1 - 2 x\right)^{\frac{5}{2}} \sqrt{3 x + 2} \sqrt{5 x + 3}}\, dx"," ",0,"Integral(1/((1 - 2*x)**(5/2)*sqrt(3*x + 2)*sqrt(5*x + 3)), x)","F",0
2977,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(3/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2978,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(5/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2979,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(7/2)/(3+5*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2980,-1,0,0,0.000000," ","integrate((2+3*x)**(11/2)/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2981,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2982,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2983,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2984,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2985,-1,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(1-2*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2986,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(3+5*x)**(3/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2987,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(3/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2988,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(5/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2989,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(7/2)/(3+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2990,-1,0,0,0.000000," ","integrate((2+3*x)**(13/2)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2991,-1,0,0,0.000000," ","integrate((2+3*x)**(11/2)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2992,-1,0,0,0.000000," ","integrate((2+3*x)**(9/2)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2993,-1,0,0,0.000000," ","integrate((2+3*x)**(7/2)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2994,-1,0,0,0.000000," ","integrate((2+3*x)**(5/2)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2995,-1,0,0,0.000000," ","integrate((2+3*x)**(3/2)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2996,-1,0,0,0.000000," ","integrate((2+3*x)**(1/2)/(1-2*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2997,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(3+5*x)**(5/2)/(2+3*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2998,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(3/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2999,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(5/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3000,-1,0,0,0.000000," ","integrate(1/(1-2*x)**(5/2)/(2+3*x)**(7/2)/(3+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3001,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(2/3)*(f*x+e)**2,x)","\int \sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(c + d*x)**(2/3)*(e + f*x)**2, x)","F",0
3002,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(2/3)*(f*x+e),x)","\int \sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*x)**(1/3)*(c + d*x)**(2/3)*(e + f*x), x)","F",0
3003,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(2/3),x)","\int \sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(c + d*x)**(2/3), x)","F",0
3004,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(2/3)/(f*x+e),x)","\int \frac{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}{e + f x}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(c + d*x)**(2/3)/(e + f*x), x)","F",0
3005,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(2/3)/(f*x+e)**2,x)","\int \frac{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(c + d*x)**(2/3)/(e + f*x)**2, x)","F",0
3006,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(2/3)/(f*x+e)**3,x)","\int \frac{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}{\left(e + f x\right)^{3}}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(c + d*x)**(2/3)/(e + f*x)**3, x)","F",0
3007,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(2/3)/(f*x+e)**4,x)","\int \frac{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}{\left(e + f x\right)^{4}}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(c + d*x)**(2/3)/(e + f*x)**4, x)","F",0
3008,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(f*x+e)**2/(d*x+c)**(1/3),x)","\int \frac{\sqrt[3]{a + b x} \left(e + f x\right)^{2}}{\sqrt[3]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(e + f*x)**2/(c + d*x)**(1/3), x)","F",0
3009,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(f*x+e)/(d*x+c)**(1/3),x)","\int \frac{\sqrt[3]{a + b x} \left(e + f x\right)}{\sqrt[3]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/3)*(e + f*x)/(c + d*x)**(1/3), x)","F",0
3010,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)/(d*x+c)**(1/3),x)","\int \frac{\sqrt[3]{a + b x}}{\sqrt[3]{c + d x}}\, dx"," ",0,"Integral((a + b*x)**(1/3)/(c + d*x)**(1/3), x)","F",0
3011,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)/(d*x+c)**(1/3)/(f*x+e),x)","\int \frac{\sqrt[3]{a + b x}}{\sqrt[3]{c + d x} \left(e + f x\right)}\, dx"," ",0,"Integral((a + b*x)**(1/3)/((c + d*x)**(1/3)*(e + f*x)), x)","F",0
3012,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)/(d*x+c)**(1/3)/(f*x+e)**2,x)","\int \frac{\sqrt[3]{a + b x}}{\sqrt[3]{c + d x} \left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*x)**(1/3)/((c + d*x)**(1/3)*(e + f*x)**2), x)","F",0
3013,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)/(d*x+c)**(1/3)/(f*x+e)**3,x)","\int \frac{\sqrt[3]{a + b x}}{\sqrt[3]{c + d x} \left(e + f x\right)^{3}}\, dx"," ",0,"Integral((a + b*x)**(1/3)/((c + d*x)**(1/3)*(e + f*x)**3), x)","F",0
3014,-1,0,0,0.000000," ","integrate((b*x+a)**(1/3)/(d*x+c)**(1/3)/(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3015,0,0,0,0.000000," ","integrate((f*x+e)**3/(b*x+a)**(1/3)/(d*x+c)**(2/3),x)","\int \frac{\left(e + f x\right)^{3}}{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((e + f*x)**3/((a + b*x)**(1/3)*(c + d*x)**(2/3)), x)","F",0
3016,0,0,0,0.000000," ","integrate((f*x+e)**2/(b*x+a)**(1/3)/(d*x+c)**(2/3),x)","\int \frac{\left(e + f x\right)^{2}}{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((e + f*x)**2/((a + b*x)**(1/3)*(c + d*x)**(2/3)), x)","F",0
3017,0,0,0,0.000000," ","integrate((f*x+e)/(b*x+a)**(1/3)/(d*x+c)**(2/3),x)","\int \frac{e + f x}{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((e + f*x)/((a + b*x)**(1/3)*(c + d*x)**(2/3)), x)","F",0
3018,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/3)/(d*x+c)**(2/3),x)","\int \frac{1}{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral(1/((a + b*x)**(1/3)*(c + d*x)**(2/3)), x)","F",0
3019,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/3)/(d*x+c)**(2/3)/(f*x+e),x)","\int \frac{1}{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}} \left(e + f x\right)}\, dx"," ",0,"Integral(1/((a + b*x)**(1/3)*(c + d*x)**(2/3)*(e + f*x)), x)","F",0
3020,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/3)/(d*x+c)**(2/3)/(f*x+e)**2,x)","\int \frac{1}{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}} \left(e + f x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*x)**(1/3)*(c + d*x)**(2/3)*(e + f*x)**2), x)","F",0
3021,0,0,0,0.000000," ","integrate(1/(b*x+a)**(1/3)/(d*x+c)**(2/3)/(f*x+e)**3,x)","\int \frac{1}{\sqrt[3]{a + b x} \left(c + d x\right)^{\frac{2}{3}} \left(e + f x\right)^{3}}\, dx"," ",0,"Integral(1/((a + b*x)**(1/3)*(c + d*x)**(2/3)*(e + f*x)**3), x)","F",0
3022,-1,0,0,0.000000," ","integrate((b*x+a)**3/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3023,0,0,0,0.000000," ","integrate((b*x+a)**2/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(1/3),x)","\int \frac{\left(a + b x\right)^{2}}{\sqrt[3]{c + d x} \sqrt[3]{a d + b c + 2 b d x}}\, dx"," ",0,"Integral((a + b*x)**2/((c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(1/3)), x)","F",0
3024,0,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(1/3),x)","\int \frac{a + b x}{\sqrt[3]{c + d x} \sqrt[3]{a d + b c + 2 b d x}}\, dx"," ",0,"Integral((a + b*x)/((c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(1/3)), x)","F",0
3025,0,0,0,0.000000," ","integrate(1/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(1/3),x)","\int \frac{1}{\sqrt[3]{c + d x} \sqrt[3]{a d + b c + 2 b d x}}\, dx"," ",0,"Integral(1/((c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(1/3)), x)","F",0
3026,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(1/3),x)","\int \frac{1}{\left(a + b x\right) \sqrt[3]{c + d x} \sqrt[3]{a d + b c + 2 b d x}}\, dx"," ",0,"Integral(1/((a + b*x)*(c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(1/3)), x)","F",0
3027,0,0,0,0.000000," ","integrate(1/(b*x+a)**2/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(1/3),x)","\int \frac{1}{\left(a + b x\right)^{2} \sqrt[3]{c + d x} \sqrt[3]{a d + b c + 2 b d x}}\, dx"," ",0,"Integral(1/((a + b*x)**2*(c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(1/3)), x)","F",0
3028,-1,0,0,0.000000," ","integrate(1/(b*x+a)**3/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3029,-1,0,0,0.000000," ","integrate((b*x+a)**3/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(4/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3030,0,0,0,0.000000," ","integrate((b*x+a)**2/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(4/3),x)","\int \frac{\left(a + b x\right)^{2}}{\sqrt[3]{c + d x} \left(a d + b c + 2 b d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((a + b*x)**2/((c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(4/3)), x)","F",0
3031,0,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(4/3),x)","\int \frac{a + b x}{\sqrt[3]{c + d x} \left(a d + b c + 2 b d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((a + b*x)/((c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(4/3)), x)","F",0
3032,0,0,0,0.000000," ","integrate(1/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(4/3),x)","\int \frac{1}{\sqrt[3]{c + d x} \left(a d + b c + 2 b d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral(1/((c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(4/3)), x)","F",0
3033,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(4/3),x)","\int \frac{1}{\left(a + b x\right) \sqrt[3]{c + d x} \left(a d + b c + 2 b d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral(1/((a + b*x)*(c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(4/3)), x)","F",0
3034,0,0,0,0.000000," ","integrate(1/(b*x+a)**2/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(4/3),x)","\int \frac{1}{\left(a + b x\right)^{2} \sqrt[3]{c + d x} \left(a d + b c + 2 b d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral(1/((a + b*x)**2*(c + d*x)**(1/3)*(a*d + b*c + 2*b*d*x)**(4/3)), x)","F",0
3035,-1,0,0,0.000000," ","integrate(1/(b*x+a)**3/(d*x+c)**(1/3)/(2*b*d*x+a*d+b*c)**(4/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3036,0,0,0,0.000000," ","integrate(1/(-3*e*x+d)**(1/3)/(e*x+d)/(3*e*x+d)**(1/3),x)","\int \frac{1}{\sqrt[3]{d - 3 e x} \left(d + e x\right) \sqrt[3]{d + 3 e x}}\, dx"," ",0,"Integral(1/((d - 3*e*x)**(1/3)*(d + e*x)*(d + 3*e*x)**(1/3)), x)","F",0
3037,0,0,0,0.000000," ","integrate((b*x+a)**(4/3)*(f*x+e)**2/(d*x+c)**(4/3),x)","\int \frac{\left(a + b x\right)^{\frac{4}{3}} \left(e + f x\right)^{2}}{\left(c + d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((a + b*x)**(4/3)*(e + f*x)**2/(c + d*x)**(4/3), x)","F",0
3038,0,0,0,0.000000," ","integrate((b*x+a)**(4/3)*(f*x+e)/(d*x+c)**(4/3),x)","\int \frac{\left(a + b x\right)^{\frac{4}{3}} \left(e + f x\right)}{\left(c + d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((a + b*x)**(4/3)*(e + f*x)/(c + d*x)**(4/3), x)","F",0
3039,0,0,0,0.000000," ","integrate((b*x+a)**(4/3)/(d*x+c)**(4/3),x)","\int \frac{\left(a + b x\right)^{\frac{4}{3}}}{\left(c + d x\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((a + b*x)**(4/3)/(c + d*x)**(4/3), x)","F",0
3040,0,0,0,0.000000," ","integrate((b*x+a)**(4/3)/(d*x+c)**(4/3)/(f*x+e),x)","\int \frac{\left(a + b x\right)^{\frac{4}{3}}}{\left(c + d x\right)^{\frac{4}{3}} \left(e + f x\right)}\, dx"," ",0,"Integral((a + b*x)**(4/3)/((c + d*x)**(4/3)*(e + f*x)), x)","F",0
3041,-1,0,0,0.000000," ","integrate((b*x+a)**(4/3)/(d*x+c)**(4/3)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3042,-1,0,0,0.000000," ","integrate((b*x+a)**(4/3)/(d*x+c)**(4/3)/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3043,-1,0,0,0.000000," ","integrate((b*x+a)**(4/3)/(d*x+c)**(4/3)/(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3044,0,0,0,0.000000," ","integrate(1/(b*x+a)/(f*x+e)**(1/4)/(d*x+c)**(1/2),x)","\int \frac{1}{\left(a + b x\right) \sqrt{c + d x} \sqrt[4]{e + f x}}\, dx"," ",0,"Integral(1/((a + b*x)*sqrt(c + d*x)*(e + f*x)**(1/4)), x)","F",0
3045,0,0,0,0.000000," ","integrate(1/(b*x+a)/(f*x+e)**(3/4)/(d*x+c)**(1/2),x)","\int \frac{1}{\left(a + b x\right) \sqrt{c + d x} \left(e + f x\right)^{\frac{3}{4}}}\, dx"," ",0,"Integral(1/((a + b*x)*sqrt(c + d*x)*(e + f*x)**(3/4)), x)","F",0
3046,-2,0,0,0.000000," ","integrate((b*x+a)**p*(B*x+A)*(e*x+d)**(-2-p),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3047,-2,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)**n/((f*x+e)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3048,-2,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)**(-1+n)/((f*x+e)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3049,-1,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)**(-2+n)/((f*x+e)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3050,-1,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)**(-3+n)/((f*x+e)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3051,-1,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)**(-4+n)/((f*x+e)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3052,-1,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)**(-5+n)/((f*x+e)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3053,-2,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)**n/((b*x+a)**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3054,-1,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)**(-1+n)/((b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3055,-1,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)**(-2+n)/((b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3056,-1,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)**(-3+n)/((b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3057,-1,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)**(-4+n)/((b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3058,-1,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)**(-5+n)/((b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3059,-1,0,0,0.000000," ","integrate((b*x+a)**m*(f*x+e)**p/((d*x+c)**m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3060,-1,0,0,0.000000," ","integrate((5-4*x)**4*(2+3*x)**m/((1+2*x)**m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3061,-2,0,0,0.000000," ","integrate((b*x+a)**m*(f*x+e)**3/((d*x+c)**m),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3062,-2,0,0,0.000000," ","integrate((b*x+a)**m*(f*x+e)**2/((d*x+c)**m),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3063,-2,0,0,0.000000," ","integrate((b*x+a)**m*(f*x+e)/((d*x+c)**m),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3064,-2,0,0,0.000000," ","integrate((b*x+a)**m/((d*x+c)**m),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3065,-2,0,0,0.000000," ","integrate((b*x+a)**m/((d*x+c)**m)/(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3066,-1,0,0,0.000000," ","integrate((b*x+a)**m/((d*x+c)**m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3067,-1,0,0,0.000000," ","integrate((b*x+a)**m/((d*x+c)**m)/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3068,-1,0,0,0.000000," ","integrate((b*x+a)**m/((d*x+c)**m)/(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3069,-1,0,0,0.000000," ","integrate((2+3*x)**m/(5-4*x)**5/((1+2*x)**m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3070,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m)*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3071,-1,0,0,0.000000," ","integrate((5-4*x)**3*(1+2*x)**(-1-m)*(2+3*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3072,-1,0,0,0.000000," ","integrate((5-4*x)**2*(1+2*x)**(-1-m)*(2+3*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3073,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m)*(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3074,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3075,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m)/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3076,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3077,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m)/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3078,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m)/(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3079,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3080,-1,0,0,0.000000," ","integrate((5-4*x)**3*(1+2*x)**(-2-m)*(2+3*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3081,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)*(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3082,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)*(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3083,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3084,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3085,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3086,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3087,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-3-m)*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3088,-1,0,0,0.000000," ","integrate((5-4*x)**4*(1+2*x)**(-3-m)*(2+3*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3089,-1,0,0,0.000000," ","integrate((5-4*x)**3*(1+2*x)**(-3-m)*(2+3*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3090,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-3-m)*(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3091,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-3-m)*(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3092,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-3-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3093,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-3-m)/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3094,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-3-m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3095,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3096,-1,0,0,0.000000," ","integrate((5-4*x)**4*(1+2*x)**(-4-m)*(2+3*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3097,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3098,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3099,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3100,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3101,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m)/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3102,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3103,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3104,-1,0,0,0.000000," ","integrate((5-4*x)**5*(1+2*x)**(-5-m)*(2+3*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3105,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3106,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3107,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3108,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3109,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3110,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m)/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3111,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3112,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e)**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3113,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3114,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3115,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3116,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)/(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3117,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3118,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3119,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)/(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3120,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)/(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3121,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)/(f*x+e)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3122,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3123,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)*(f*x+e)**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3124,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)*(f*x+e)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3125,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)*(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3126,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3127,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3128,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3129,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3130,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3131,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(f*x+e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3132,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(f*x+e)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3133,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(f*x+e)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3134,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(3-m)/(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3135,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(3-m)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3136,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(3-m)/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3137,-2,0,0,0.000000," ","integrate((b*x+a)**(1-n)*(d*x+c)**(1+n)/(2*b*d*x+a*d+b*c),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3138,-1,0,0,0.000000," ","integrate((b*x+a)**(1-n)*(d*x+c)**(1+n)/(2*b*d*x+a*d+b*c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3139,-1,0,0,0.000000," ","integrate((b*x+a)**(1-n)*(d*x+c)**(1+n)/(2*b*d*x+a*d+b*c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3140,-1,0,0,0.000000," ","integrate((b*x+a)**(1-n)*(d*x+c)**(1+n)/(2*b*d*x+a*d+b*c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3141,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(2*b*d*x+a*d+b*c),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3142,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(2*b*d*x+a*d+b*c)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3143,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(2*b*d*x+a*d+b*c)**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3144,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(2-m)/(2*b*d*x+a*d+b*c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3145,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-m-n)*(f*x+e)**(n+p),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3146,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-m-n)*(f*x+e)**(1+n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3147,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-m-n)*(f*x+e)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3148,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-m-n)*(f*x+e)**(-1+n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3149,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-m-n)*(f*x+e)**(-2+n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3150,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-m-n)*(f*x+e)**(-3+n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3151,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-m-n)*(f*x+e)**(-4+n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3152,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*((a*d*f*m+b*c*f*n+a*d*f+b*c*f)/b/d/(2+m+n)+f*x)**(-3-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3153,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-d*(-a*f+b*e)*(1+m)/b/(-c*f+d*e))*(f*x+e)**(-1+(-a*d+b*c)*f*(1+m)/b/(-c*f+d*e)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3154,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**(-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3155,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**(-1-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3156,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**(-2-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3157,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**(-3-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3158,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**(-4-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3159,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3160,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3161,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3162,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3163,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n/(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3164,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3165,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3166,0,0,0,0.000000," ","integrate((3+4*x)**n/(1-x)**(1/2)/(1+x)**(1/2),x)","\int \frac{\left(4 x + 3\right)^{n}}{\sqrt{1 - x} \sqrt{x + 1}}\, dx"," ",0,"Integral((4*x + 3)**n/(sqrt(1 - x)*sqrt(x + 1)), x)","F",0
3167,0,0,0,0.000000," ","integrate((3-4*x)**n/(1-x)**(1/2)/(1+x)**(1/2),x)","\int \frac{\left(3 - 4 x\right)^{n}}{\sqrt{1 - x} \sqrt{x + 1}}\, dx"," ",0,"Integral((3 - 4*x)**n/(sqrt(1 - x)*sqrt(x + 1)), x)","F",0
3168,0,0,0,0.000000," ","integrate((-3+4*x)**n/(1-x)**(1/2)/(1+x)**(1/2),x)","\int \frac{\left(4 x - 3\right)^{n}}{\sqrt{1 - x} \sqrt{x + 1}}\, dx"," ",0,"Integral((4*x - 3)**n/(sqrt(1 - x)*sqrt(x + 1)), x)","F",0
3169,0,0,0,0.000000," ","integrate((-3-4*x)**n/(1-x)**(1/2)/(1+x)**(1/2),x)","\int \frac{\left(- 4 x - 3\right)^{n}}{\sqrt{1 - x} \sqrt{x + 1}}\, dx"," ",0,"Integral((-4*x - 3)**n/(sqrt(1 - x)*sqrt(x + 1)), x)","F",0
3170,0,0,0,0.000000," ","integrate((b*x+a)**(4/3)/(f*x+e)/(d*x+c)**(1/2),x)","\int \frac{\left(a + b x\right)^{\frac{4}{3}}}{\sqrt{c + d x} \left(e + f x\right)}\, dx"," ",0,"Integral((a + b*x)**(4/3)/(sqrt(c + d*x)*(e + f*x)), x)","F",0
3171,0,0,0,0.000000," ","integrate((d*x+c)**(2/5)*(f*x+e)**(3/5)/(b*x+a)**(1/2),x)","\int \frac{\left(c + d x\right)^{\frac{2}{5}} \left(e + f x\right)^{\frac{3}{5}}}{\sqrt{a + b x}}\, dx"," ",0,"Integral((c + d*x)**(2/5)*(e + f*x)**(3/5)/sqrt(a + b*x), x)","F",0
3172,-1,0,0,0.000000," ","integrate((f*x+e)**n*(b*x+a)**(1/2)/(d*x+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3173,-1,0,0,0.000000," ","integrate((f*x+e)**n*(d*x+c)**(1/2)/(b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3174,0,0,0,0.000000," ","integrate((f*x+e)**n/(d*x+c)**(3/2)/(b*x+a)**(1/2),x)","\int \frac{\left(e + f x\right)^{n}}{\sqrt{a + b x} \left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e + f*x)**n/(sqrt(a + b*x)*(c + d*x)**(3/2)), x)","F",0
3175,0,0,0,0.000000," ","integrate((f*x+e)**n/(b*x+a)**(3/2)/(d*x+c)**(1/2),x)","\int \frac{\left(e + f x\right)^{n}}{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x}}\, dx"," ",0,"Integral((e + f*x)**n/((a + b*x)**(3/2)*sqrt(c + d*x)), x)","F",0
3176,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/3)/(f*x+e),x)","\int \frac{\sqrt{a + b x} \sqrt[3]{c + d x}}{e + f x}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(1/3)/(e + f*x), x)","F",0
3177,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(1/2)/(f*x+e),x)","\int \frac{\sqrt[3]{a + b x} \sqrt{c + d x}}{e + f x}\, dx"," ",0,"Integral((a + b*x)**(1/3)*sqrt(c + d*x)/(e + f*x), x)","F",0
3178,0,0,0,0.000000," ","integrate((b*x+a)**(1/2)*(d*x+c)**(1/3)*(f*x+e)**(1/4),x)","\int \sqrt{a + b x} \sqrt[3]{c + d x} \sqrt[4]{e + f x}\, dx"," ",0,"Integral(sqrt(a + b*x)*(c + d*x)**(1/3)*(e + f*x)**(1/4), x)","F",0
3179,0,0,0,0.000000," ","integrate((b*x+a)**(1/3)*(d*x+c)**(1/2)*(f*x+e)**(1/4),x)","\int \sqrt[3]{a + b x} \sqrt{c + d x} \sqrt[4]{e + f x}\, dx"," ",0,"Integral((a + b*x)**(1/3)*sqrt(c + d*x)*(e + f*x)**(1/4), x)","F",0
3180,-1,0,0,0.000000," ","integrate((b*x+a)**4*(B*x+A)*(e*x+d)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3181,1,14256,0,14.473144," ","integrate((b*x+a)**3*(B*x+A)*(e*x+d)**m,x)","\begin{cases} d^{m} \left(A a^{3} x + \frac{3 A a^{2} b x^{2}}{2} + A a b^{2} x^{3} + \frac{A b^{3} x^{4}}{4} + \frac{B a^{3} x^{2}}{2} + B a^{2} b x^{3} + \frac{3 B a b^{2} x^{4}}{4} + \frac{B b^{3} x^{5}}{5}\right) & \text{for}\: e = 0 \\- \frac{3 A a^{3} e^{4}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{3 A a^{2} b d e^{3}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{12 A a^{2} b e^{4} x}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{3 A a b^{2} d^{2} e^{2}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{12 A a b^{2} d e^{3} x}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{18 A a b^{2} e^{4} x^{2}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{3 A b^{3} d^{3} e}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{12 A b^{3} d^{2} e^{2} x}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{18 A b^{3} d e^{3} x^{2}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{12 A b^{3} e^{4} x^{3}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{B a^{3} d e^{3}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{4 B a^{3} e^{4} x}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{3 B a^{2} b d^{2} e^{2}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{12 B a^{2} b d e^{3} x}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{18 B a^{2} b e^{4} x^{2}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{9 B a b^{2} d^{3} e}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{36 B a b^{2} d^{2} e^{2} x}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{54 B a b^{2} d e^{3} x^{2}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} - \frac{36 B a b^{2} e^{4} x^{3}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{12 B b^{3} d^{4} \log{\left(\frac{d}{e} + x \right)}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{25 B b^{3} d^{4}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{48 B b^{3} d^{3} e x \log{\left(\frac{d}{e} + x \right)}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{88 B b^{3} d^{3} e x}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{72 B b^{3} d^{2} e^{2} x^{2} \log{\left(\frac{d}{e} + x \right)}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{108 B b^{3} d^{2} e^{2} x^{2}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{48 B b^{3} d e^{3} x^{3} \log{\left(\frac{d}{e} + x \right)}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{48 B b^{3} d e^{3} x^{3}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} + \frac{12 B b^{3} e^{4} x^{4} \log{\left(\frac{d}{e} + x \right)}}{12 d^{4} e^{5} + 48 d^{3} e^{6} x + 72 d^{2} e^{7} x^{2} + 48 d e^{8} x^{3} + 12 e^{9} x^{4}} & \text{for}\: m = -5 \\- \frac{2 A a^{3} e^{4}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{3 A a^{2} b d e^{3}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{9 A a^{2} b e^{4} x}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{6 A a b^{2} d^{2} e^{2}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{18 A a b^{2} d e^{3} x}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{18 A a b^{2} e^{4} x^{2}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{6 A b^{3} d^{3} e \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{11 A b^{3} d^{3} e}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{18 A b^{3} d^{2} e^{2} x \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{27 A b^{3} d^{2} e^{2} x}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{18 A b^{3} d e^{3} x^{2} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{18 A b^{3} d e^{3} x^{2}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{6 A b^{3} e^{4} x^{3} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{B a^{3} d e^{3}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{3 B a^{3} e^{4} x}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{6 B a^{2} b d^{2} e^{2}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{18 B a^{2} b d e^{3} x}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{18 B a^{2} b e^{4} x^{2}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{18 B a b^{2} d^{3} e \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{33 B a b^{2} d^{3} e}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{54 B a b^{2} d^{2} e^{2} x \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{81 B a b^{2} d^{2} e^{2} x}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{54 B a b^{2} d e^{3} x^{2} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{54 B a b^{2} d e^{3} x^{2}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{18 B a b^{2} e^{4} x^{3} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{24 B b^{3} d^{4} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{44 B b^{3} d^{4}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{72 B b^{3} d^{3} e x \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{108 B b^{3} d^{3} e x}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{72 B b^{3} d^{2} e^{2} x^{2} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{72 B b^{3} d^{2} e^{2} x^{2}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} - \frac{24 B b^{3} d e^{3} x^{3} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} + \frac{6 B b^{3} e^{4} x^{4}}{6 d^{3} e^{5} + 18 d^{2} e^{6} x + 18 d e^{7} x^{2} + 6 e^{8} x^{3}} & \text{for}\: m = -4 \\- \frac{A a^{3} e^{4}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{3 A a^{2} b d e^{3}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{6 A a^{2} b e^{4} x}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{6 A a b^{2} d^{2} e^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{9 A a b^{2} d^{2} e^{2}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{12 A a b^{2} d e^{3} x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{12 A a b^{2} d e^{3} x}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{6 A a b^{2} e^{4} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{6 A b^{3} d^{3} e \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{9 A b^{3} d^{3} e}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{12 A b^{3} d^{2} e^{2} x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{12 A b^{3} d^{2} e^{2} x}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{6 A b^{3} d e^{3} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{2 A b^{3} e^{4} x^{3}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{B a^{3} d e^{3}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{2 B a^{3} e^{4} x}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{6 B a^{2} b d^{2} e^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{9 B a^{2} b d^{2} e^{2}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{12 B a^{2} b d e^{3} x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{12 B a^{2} b d e^{3} x}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{6 B a^{2} b e^{4} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{18 B a b^{2} d^{3} e \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{27 B a b^{2} d^{3} e}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{36 B a b^{2} d^{2} e^{2} x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{36 B a b^{2} d^{2} e^{2} x}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{18 B a b^{2} d e^{3} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{6 B a b^{2} e^{4} x^{3}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{12 B b^{3} d^{4} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{18 B b^{3} d^{4}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{24 B b^{3} d^{3} e x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{24 B b^{3} d^{3} e x}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{12 B b^{3} d^{2} e^{2} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} - \frac{4 B b^{3} d e^{3} x^{3}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} + \frac{B b^{3} e^{4} x^{4}}{2 d^{2} e^{5} + 4 d e^{6} x + 2 e^{7} x^{2}} & \text{for}\: m = -3 \\- \frac{6 A a^{3} e^{4}}{6 d e^{5} + 6 e^{6} x} + \frac{18 A a^{2} b d e^{3} \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} + \frac{18 A a^{2} b d e^{3}}{6 d e^{5} + 6 e^{6} x} + \frac{18 A a^{2} b e^{4} x \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} - \frac{36 A a b^{2} d^{2} e^{2} \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} - \frac{36 A a b^{2} d^{2} e^{2}}{6 d e^{5} + 6 e^{6} x} - \frac{36 A a b^{2} d e^{3} x \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} + \frac{18 A a b^{2} e^{4} x^{2}}{6 d e^{5} + 6 e^{6} x} + \frac{18 A b^{3} d^{3} e \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} + \frac{18 A b^{3} d^{3} e}{6 d e^{5} + 6 e^{6} x} + \frac{18 A b^{3} d^{2} e^{2} x \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} - \frac{9 A b^{3} d e^{3} x^{2}}{6 d e^{5} + 6 e^{6} x} + \frac{3 A b^{3} e^{4} x^{3}}{6 d e^{5} + 6 e^{6} x} + \frac{6 B a^{3} d e^{3} \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} + \frac{6 B a^{3} d e^{3}}{6 d e^{5} + 6 e^{6} x} + \frac{6 B a^{3} e^{4} x \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} - \frac{36 B a^{2} b d^{2} e^{2} \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} - \frac{36 B a^{2} b d^{2} e^{2}}{6 d e^{5} + 6 e^{6} x} - \frac{36 B a^{2} b d e^{3} x \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} + \frac{18 B a^{2} b e^{4} x^{2}}{6 d e^{5} + 6 e^{6} x} + \frac{54 B a b^{2} d^{3} e \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} + \frac{54 B a b^{2} d^{3} e}{6 d e^{5} + 6 e^{6} x} + \frac{54 B a b^{2} d^{2} e^{2} x \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} - \frac{27 B a b^{2} d e^{3} x^{2}}{6 d e^{5} + 6 e^{6} x} + \frac{9 B a b^{2} e^{4} x^{3}}{6 d e^{5} + 6 e^{6} x} - \frac{24 B b^{3} d^{4} \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} - \frac{24 B b^{3} d^{4}}{6 d e^{5} + 6 e^{6} x} - \frac{24 B b^{3} d^{3} e x \log{\left(\frac{d}{e} + x \right)}}{6 d e^{5} + 6 e^{6} x} + \frac{12 B b^{3} d^{2} e^{2} x^{2}}{6 d e^{5} + 6 e^{6} x} - \frac{4 B b^{3} d e^{3} x^{3}}{6 d e^{5} + 6 e^{6} x} + \frac{2 B b^{3} e^{4} x^{4}}{6 d e^{5} + 6 e^{6} x} & \text{for}\: m = -2 \\\frac{A a^{3} \log{\left(\frac{d}{e} + x \right)}}{e} - \frac{3 A a^{2} b d \log{\left(\frac{d}{e} + x \right)}}{e^{2}} + \frac{3 A a^{2} b x}{e} + \frac{3 A a b^{2} d^{2} \log{\left(\frac{d}{e} + x \right)}}{e^{3}} - \frac{3 A a b^{2} d x}{e^{2}} + \frac{3 A a b^{2} x^{2}}{2 e} - \frac{A b^{3} d^{3} \log{\left(\frac{d}{e} + x \right)}}{e^{4}} + \frac{A b^{3} d^{2} x}{e^{3}} - \frac{A b^{3} d x^{2}}{2 e^{2}} + \frac{A b^{3} x^{3}}{3 e} - \frac{B a^{3} d \log{\left(\frac{d}{e} + x \right)}}{e^{2}} + \frac{B a^{3} x}{e} + \frac{3 B a^{2} b d^{2} \log{\left(\frac{d}{e} + x \right)}}{e^{3}} - \frac{3 B a^{2} b d x}{e^{2}} + \frac{3 B a^{2} b x^{2}}{2 e} - \frac{3 B a b^{2} d^{3} \log{\left(\frac{d}{e} + x \right)}}{e^{4}} + \frac{3 B a b^{2} d^{2} x}{e^{3}} - \frac{3 B a b^{2} d x^{2}}{2 e^{2}} + \frac{B a b^{2} x^{3}}{e} + \frac{B b^{3} d^{4} \log{\left(\frac{d}{e} + x \right)}}{e^{5}} - \frac{B b^{3} d^{3} x}{e^{4}} + \frac{B b^{3} d^{2} x^{2}}{2 e^{3}} - \frac{B b^{3} d x^{3}}{3 e^{2}} + \frac{B b^{3} x^{4}}{4 e} & \text{for}\: m = -1 \\\frac{A a^{3} d e^{4} m^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{14 A a^{3} d e^{4} m^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{71 A a^{3} d e^{4} m^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{154 A a^{3} d e^{4} m \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{120 A a^{3} d e^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{A a^{3} e^{5} m^{4} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{14 A a^{3} e^{5} m^{3} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{71 A a^{3} e^{5} m^{2} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{154 A a^{3} e^{5} m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{120 A a^{3} e^{5} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{3 A a^{2} b d^{2} e^{3} m^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{36 A a^{2} b d^{2} e^{3} m^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{141 A a^{2} b d^{2} e^{3} m \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{180 A a^{2} b d^{2} e^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 A a^{2} b d e^{4} m^{4} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{36 A a^{2} b d e^{4} m^{3} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{141 A a^{2} b d e^{4} m^{2} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{180 A a^{2} b d e^{4} m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 A a^{2} b e^{5} m^{4} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{39 A a^{2} b e^{5} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{177 A a^{2} b e^{5} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{321 A a^{2} b e^{5} m x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{180 A a^{2} b e^{5} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{6 A a b^{2} d^{3} e^{2} m^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{54 A a b^{2} d^{3} e^{2} m \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{120 A a b^{2} d^{3} e^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{6 A a b^{2} d^{2} e^{3} m^{3} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{54 A a b^{2} d^{2} e^{3} m^{2} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{120 A a b^{2} d^{2} e^{3} m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 A a b^{2} d e^{4} m^{4} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{30 A a b^{2} d e^{4} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{87 A a b^{2} d e^{4} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{60 A a b^{2} d e^{4} m x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 A a b^{2} e^{5} m^{4} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{36 A a b^{2} e^{5} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{147 A a b^{2} e^{5} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{234 A a b^{2} e^{5} m x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{120 A a b^{2} e^{5} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{6 A b^{3} d^{4} e m \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{30 A b^{3} d^{4} e \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{6 A b^{3} d^{3} e^{2} m^{2} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{30 A b^{3} d^{3} e^{2} m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{3 A b^{3} d^{2} e^{3} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{18 A b^{3} d^{2} e^{3} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{15 A b^{3} d^{2} e^{3} m x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{A b^{3} d e^{4} m^{4} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{8 A b^{3} d e^{4} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{17 A b^{3} d e^{4} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{10 A b^{3} d e^{4} m x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{A b^{3} e^{5} m^{4} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{11 A b^{3} e^{5} m^{3} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{41 A b^{3} e^{5} m^{2} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{61 A b^{3} e^{5} m x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{30 A b^{3} e^{5} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{B a^{3} d^{2} e^{3} m^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{12 B a^{3} d^{2} e^{3} m^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{47 B a^{3} d^{2} e^{3} m \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{60 B a^{3} d^{2} e^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{B a^{3} d e^{4} m^{4} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{12 B a^{3} d e^{4} m^{3} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{47 B a^{3} d e^{4} m^{2} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{60 B a^{3} d e^{4} m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{B a^{3} e^{5} m^{4} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{13 B a^{3} e^{5} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{59 B a^{3} e^{5} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{107 B a^{3} e^{5} m x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{60 B a^{3} e^{5} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{6 B a^{2} b d^{3} e^{2} m^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{54 B a^{2} b d^{3} e^{2} m \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{120 B a^{2} b d^{3} e^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{6 B a^{2} b d^{2} e^{3} m^{3} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{54 B a^{2} b d^{2} e^{3} m^{2} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{120 B a^{2} b d^{2} e^{3} m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 B a^{2} b d e^{4} m^{4} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{30 B a^{2} b d e^{4} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{87 B a^{2} b d e^{4} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{60 B a^{2} b d e^{4} m x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 B a^{2} b e^{5} m^{4} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{36 B a^{2} b e^{5} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{147 B a^{2} b e^{5} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{234 B a^{2} b e^{5} m x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{120 B a^{2} b e^{5} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{18 B a b^{2} d^{4} e m \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{90 B a b^{2} d^{4} e \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{18 B a b^{2} d^{3} e^{2} m^{2} x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{90 B a b^{2} d^{3} e^{2} m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{9 B a b^{2} d^{2} e^{3} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{54 B a b^{2} d^{2} e^{3} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{45 B a b^{2} d^{2} e^{3} m x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 B a b^{2} d e^{4} m^{4} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{24 B a b^{2} d e^{4} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{51 B a b^{2} d e^{4} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{30 B a b^{2} d e^{4} m x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{3 B a b^{2} e^{5} m^{4} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{33 B a b^{2} e^{5} m^{3} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{123 B a b^{2} e^{5} m^{2} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{183 B a b^{2} e^{5} m x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{90 B a b^{2} e^{5} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{24 B b^{3} d^{5} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{24 B b^{3} d^{4} e m x \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{12 B b^{3} d^{3} e^{2} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{12 B b^{3} d^{3} e^{2} m x^{2} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{4 B b^{3} d^{2} e^{3} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{12 B b^{3} d^{2} e^{3} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} - \frac{8 B b^{3} d^{2} e^{3} m x^{3} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{B b^{3} d e^{4} m^{4} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{6 B b^{3} d e^{4} m^{3} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{11 B b^{3} d e^{4} m^{2} x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{6 B b^{3} d e^{4} m x^{4} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{B b^{3} e^{5} m^{4} x^{5} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{10 B b^{3} e^{5} m^{3} x^{5} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{35 B b^{3} e^{5} m^{2} x^{5} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{50 B b^{3} e^{5} m x^{5} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} + \frac{24 B b^{3} e^{5} x^{5} \left(d + e x\right)^{m}}{e^{5} m^{5} + 15 e^{5} m^{4} + 85 e^{5} m^{3} + 225 e^{5} m^{2} + 274 e^{5} m + 120 e^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((d**m*(A*a**3*x + 3*A*a**2*b*x**2/2 + A*a*b**2*x**3 + A*b**3*x**4/4 + B*a**3*x**2/2 + B*a**2*b*x**3 + 3*B*a*b**2*x**4/4 + B*b**3*x**5/5), Eq(e, 0)), (-3*A*a**3*e**4/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 3*A*a**2*b*d*e**3/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 12*A*a**2*b*e**4*x/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 3*A*a*b**2*d**2*e**2/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 12*A*a*b**2*d*e**3*x/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 18*A*a*b**2*e**4*x**2/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 3*A*b**3*d**3*e/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 12*A*b**3*d**2*e**2*x/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 18*A*b**3*d*e**3*x**2/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 12*A*b**3*e**4*x**3/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - B*a**3*d*e**3/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 4*B*a**3*e**4*x/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 3*B*a**2*b*d**2*e**2/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 12*B*a**2*b*d*e**3*x/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 18*B*a**2*b*e**4*x**2/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 9*B*a*b**2*d**3*e/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 36*B*a*b**2*d**2*e**2*x/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 54*B*a*b**2*d*e**3*x**2/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) - 36*B*a*b**2*e**4*x**3/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 12*B*b**3*d**4*log(d/e + x)/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 25*B*b**3*d**4/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 48*B*b**3*d**3*e*x*log(d/e + x)/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 88*B*b**3*d**3*e*x/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 72*B*b**3*d**2*e**2*x**2*log(d/e + x)/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 108*B*b**3*d**2*e**2*x**2/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 48*B*b**3*d*e**3*x**3*log(d/e + x)/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 48*B*b**3*d*e**3*x**3/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4) + 12*B*b**3*e**4*x**4*log(d/e + x)/(12*d**4*e**5 + 48*d**3*e**6*x + 72*d**2*e**7*x**2 + 48*d*e**8*x**3 + 12*e**9*x**4), Eq(m, -5)), (-2*A*a**3*e**4/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 3*A*a**2*b*d*e**3/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 9*A*a**2*b*e**4*x/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 6*A*a*b**2*d**2*e**2/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 18*A*a*b**2*d*e**3*x/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 18*A*a*b**2*e**4*x**2/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 6*A*b**3*d**3*e*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 11*A*b**3*d**3*e/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 18*A*b**3*d**2*e**2*x*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 27*A*b**3*d**2*e**2*x/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 18*A*b**3*d*e**3*x**2*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 18*A*b**3*d*e**3*x**2/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 6*A*b**3*e**4*x**3*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - B*a**3*d*e**3/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 3*B*a**3*e**4*x/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 6*B*a**2*b*d**2*e**2/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 18*B*a**2*b*d*e**3*x/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 18*B*a**2*b*e**4*x**2/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 18*B*a*b**2*d**3*e*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 33*B*a*b**2*d**3*e/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 54*B*a*b**2*d**2*e**2*x*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 81*B*a*b**2*d**2*e**2*x/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 54*B*a*b**2*d*e**3*x**2*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 54*B*a*b**2*d*e**3*x**2/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 18*B*a*b**2*e**4*x**3*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 24*B*b**3*d**4*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 44*B*b**3*d**4/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 72*B*b**3*d**3*e*x*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 108*B*b**3*d**3*e*x/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 72*B*b**3*d**2*e**2*x**2*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 72*B*b**3*d**2*e**2*x**2/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) - 24*B*b**3*d*e**3*x**3*log(d/e + x)/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3) + 6*B*b**3*e**4*x**4/(6*d**3*e**5 + 18*d**2*e**6*x + 18*d*e**7*x**2 + 6*e**8*x**3), Eq(m, -4)), (-A*a**3*e**4/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 3*A*a**2*b*d*e**3/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 6*A*a**2*b*e**4*x/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 6*A*a*b**2*d**2*e**2*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 9*A*a*b**2*d**2*e**2/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 12*A*a*b**2*d*e**3*x*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 12*A*a*b**2*d*e**3*x/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 6*A*a*b**2*e**4*x**2*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 6*A*b**3*d**3*e*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 9*A*b**3*d**3*e/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 12*A*b**3*d**2*e**2*x*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 12*A*b**3*d**2*e**2*x/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 6*A*b**3*d*e**3*x**2*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 2*A*b**3*e**4*x**3/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - B*a**3*d*e**3/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 2*B*a**3*e**4*x/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 6*B*a**2*b*d**2*e**2*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 9*B*a**2*b*d**2*e**2/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 12*B*a**2*b*d*e**3*x*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 12*B*a**2*b*d*e**3*x/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 6*B*a**2*b*e**4*x**2*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 18*B*a*b**2*d**3*e*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 27*B*a*b**2*d**3*e/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 36*B*a*b**2*d**2*e**2*x*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 36*B*a*b**2*d**2*e**2*x/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 18*B*a*b**2*d*e**3*x**2*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 6*B*a*b**2*e**4*x**3/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 12*B*b**3*d**4*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 18*B*b**3*d**4/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 24*B*b**3*d**3*e*x*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 24*B*b**3*d**3*e*x/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + 12*B*b**3*d**2*e**2*x**2*log(d/e + x)/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) - 4*B*b**3*d*e**3*x**3/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2) + B*b**3*e**4*x**4/(2*d**2*e**5 + 4*d*e**6*x + 2*e**7*x**2), Eq(m, -3)), (-6*A*a**3*e**4/(6*d*e**5 + 6*e**6*x) + 18*A*a**2*b*d*e**3*log(d/e + x)/(6*d*e**5 + 6*e**6*x) + 18*A*a**2*b*d*e**3/(6*d*e**5 + 6*e**6*x) + 18*A*a**2*b*e**4*x*log(d/e + x)/(6*d*e**5 + 6*e**6*x) - 36*A*a*b**2*d**2*e**2*log(d/e + x)/(6*d*e**5 + 6*e**6*x) - 36*A*a*b**2*d**2*e**2/(6*d*e**5 + 6*e**6*x) - 36*A*a*b**2*d*e**3*x*log(d/e + x)/(6*d*e**5 + 6*e**6*x) + 18*A*a*b**2*e**4*x**2/(6*d*e**5 + 6*e**6*x) + 18*A*b**3*d**3*e*log(d/e + x)/(6*d*e**5 + 6*e**6*x) + 18*A*b**3*d**3*e/(6*d*e**5 + 6*e**6*x) + 18*A*b**3*d**2*e**2*x*log(d/e + x)/(6*d*e**5 + 6*e**6*x) - 9*A*b**3*d*e**3*x**2/(6*d*e**5 + 6*e**6*x) + 3*A*b**3*e**4*x**3/(6*d*e**5 + 6*e**6*x) + 6*B*a**3*d*e**3*log(d/e + x)/(6*d*e**5 + 6*e**6*x) + 6*B*a**3*d*e**3/(6*d*e**5 + 6*e**6*x) + 6*B*a**3*e**4*x*log(d/e + x)/(6*d*e**5 + 6*e**6*x) - 36*B*a**2*b*d**2*e**2*log(d/e + x)/(6*d*e**5 + 6*e**6*x) - 36*B*a**2*b*d**2*e**2/(6*d*e**5 + 6*e**6*x) - 36*B*a**2*b*d*e**3*x*log(d/e + x)/(6*d*e**5 + 6*e**6*x) + 18*B*a**2*b*e**4*x**2/(6*d*e**5 + 6*e**6*x) + 54*B*a*b**2*d**3*e*log(d/e + x)/(6*d*e**5 + 6*e**6*x) + 54*B*a*b**2*d**3*e/(6*d*e**5 + 6*e**6*x) + 54*B*a*b**2*d**2*e**2*x*log(d/e + x)/(6*d*e**5 + 6*e**6*x) - 27*B*a*b**2*d*e**3*x**2/(6*d*e**5 + 6*e**6*x) + 9*B*a*b**2*e**4*x**3/(6*d*e**5 + 6*e**6*x) - 24*B*b**3*d**4*log(d/e + x)/(6*d*e**5 + 6*e**6*x) - 24*B*b**3*d**4/(6*d*e**5 + 6*e**6*x) - 24*B*b**3*d**3*e*x*log(d/e + x)/(6*d*e**5 + 6*e**6*x) + 12*B*b**3*d**2*e**2*x**2/(6*d*e**5 + 6*e**6*x) - 4*B*b**3*d*e**3*x**3/(6*d*e**5 + 6*e**6*x) + 2*B*b**3*e**4*x**4/(6*d*e**5 + 6*e**6*x), Eq(m, -2)), (A*a**3*log(d/e + x)/e - 3*A*a**2*b*d*log(d/e + x)/e**2 + 3*A*a**2*b*x/e + 3*A*a*b**2*d**2*log(d/e + x)/e**3 - 3*A*a*b**2*d*x/e**2 + 3*A*a*b**2*x**2/(2*e) - A*b**3*d**3*log(d/e + x)/e**4 + A*b**3*d**2*x/e**3 - A*b**3*d*x**2/(2*e**2) + A*b**3*x**3/(3*e) - B*a**3*d*log(d/e + x)/e**2 + B*a**3*x/e + 3*B*a**2*b*d**2*log(d/e + x)/e**3 - 3*B*a**2*b*d*x/e**2 + 3*B*a**2*b*x**2/(2*e) - 3*B*a*b**2*d**3*log(d/e + x)/e**4 + 3*B*a*b**2*d**2*x/e**3 - 3*B*a*b**2*d*x**2/(2*e**2) + B*a*b**2*x**3/e + B*b**3*d**4*log(d/e + x)/e**5 - B*b**3*d**3*x/e**4 + B*b**3*d**2*x**2/(2*e**3) - B*b**3*d*x**3/(3*e**2) + B*b**3*x**4/(4*e), Eq(m, -1)), (A*a**3*d*e**4*m**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 14*A*a**3*d*e**4*m**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 71*A*a**3*d*e**4*m**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 154*A*a**3*d*e**4*m*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 120*A*a**3*d*e**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + A*a**3*e**5*m**4*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 14*A*a**3*e**5*m**3*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 71*A*a**3*e**5*m**2*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 154*A*a**3*e**5*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 120*A*a**3*e**5*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 3*A*a**2*b*d**2*e**3*m**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 36*A*a**2*b*d**2*e**3*m**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 141*A*a**2*b*d**2*e**3*m*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 180*A*a**2*b*d**2*e**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*A*a**2*b*d*e**4*m**4*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 36*A*a**2*b*d*e**4*m**3*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 141*A*a**2*b*d*e**4*m**2*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 180*A*a**2*b*d*e**4*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*A*a**2*b*e**5*m**4*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 39*A*a**2*b*e**5*m**3*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 177*A*a**2*b*e**5*m**2*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 321*A*a**2*b*e**5*m*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 180*A*a**2*b*e**5*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 6*A*a*b**2*d**3*e**2*m**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 54*A*a*b**2*d**3*e**2*m*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 120*A*a*b**2*d**3*e**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 6*A*a*b**2*d**2*e**3*m**3*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 54*A*a*b**2*d**2*e**3*m**2*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 120*A*a*b**2*d**2*e**3*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*A*a*b**2*d*e**4*m**4*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 30*A*a*b**2*d*e**4*m**3*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 87*A*a*b**2*d*e**4*m**2*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 60*A*a*b**2*d*e**4*m*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*A*a*b**2*e**5*m**4*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 36*A*a*b**2*e**5*m**3*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 147*A*a*b**2*e**5*m**2*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 234*A*a*b**2*e**5*m*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 120*A*a*b**2*e**5*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 6*A*b**3*d**4*e*m*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 30*A*b**3*d**4*e*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 6*A*b**3*d**3*e**2*m**2*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 30*A*b**3*d**3*e**2*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 3*A*b**3*d**2*e**3*m**3*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 18*A*b**3*d**2*e**3*m**2*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 15*A*b**3*d**2*e**3*m*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + A*b**3*d*e**4*m**4*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 8*A*b**3*d*e**4*m**3*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 17*A*b**3*d*e**4*m**2*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 10*A*b**3*d*e**4*m*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + A*b**3*e**5*m**4*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 11*A*b**3*e**5*m**3*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 41*A*b**3*e**5*m**2*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 61*A*b**3*e**5*m*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 30*A*b**3*e**5*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - B*a**3*d**2*e**3*m**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 12*B*a**3*d**2*e**3*m**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 47*B*a**3*d**2*e**3*m*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 60*B*a**3*d**2*e**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + B*a**3*d*e**4*m**4*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 12*B*a**3*d*e**4*m**3*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 47*B*a**3*d*e**4*m**2*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 60*B*a**3*d*e**4*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + B*a**3*e**5*m**4*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 13*B*a**3*e**5*m**3*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 59*B*a**3*e**5*m**2*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 107*B*a**3*e**5*m*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 60*B*a**3*e**5*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 6*B*a**2*b*d**3*e**2*m**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 54*B*a**2*b*d**3*e**2*m*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 120*B*a**2*b*d**3*e**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 6*B*a**2*b*d**2*e**3*m**3*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 54*B*a**2*b*d**2*e**3*m**2*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 120*B*a**2*b*d**2*e**3*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*B*a**2*b*d*e**4*m**4*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 30*B*a**2*b*d*e**4*m**3*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 87*B*a**2*b*d*e**4*m**2*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 60*B*a**2*b*d*e**4*m*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*B*a**2*b*e**5*m**4*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 36*B*a**2*b*e**5*m**3*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 147*B*a**2*b*e**5*m**2*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 234*B*a**2*b*e**5*m*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 120*B*a**2*b*e**5*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 18*B*a*b**2*d**4*e*m*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 90*B*a*b**2*d**4*e*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 18*B*a*b**2*d**3*e**2*m**2*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 90*B*a*b**2*d**3*e**2*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 9*B*a*b**2*d**2*e**3*m**3*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 54*B*a*b**2*d**2*e**3*m**2*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 45*B*a*b**2*d**2*e**3*m*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*B*a*b**2*d*e**4*m**4*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 24*B*a*b**2*d*e**4*m**3*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 51*B*a*b**2*d*e**4*m**2*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 30*B*a*b**2*d*e**4*m*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 3*B*a*b**2*e**5*m**4*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 33*B*a*b**2*e**5*m**3*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 123*B*a*b**2*e**5*m**2*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 183*B*a*b**2*e**5*m*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 90*B*a*b**2*e**5*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 24*B*b**3*d**5*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 24*B*b**3*d**4*e*m*x*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 12*B*b**3*d**3*e**2*m**2*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 12*B*b**3*d**3*e**2*m*x**2*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 4*B*b**3*d**2*e**3*m**3*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 12*B*b**3*d**2*e**3*m**2*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) - 8*B*b**3*d**2*e**3*m*x**3*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + B*b**3*d*e**4*m**4*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 6*B*b**3*d*e**4*m**3*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 11*B*b**3*d*e**4*m**2*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 6*B*b**3*d*e**4*m*x**4*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + B*b**3*e**5*m**4*x**5*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 10*B*b**3*e**5*m**3*x**5*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 35*B*b**3*e**5*m**2*x**5*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 50*B*b**3*e**5*m*x**5*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5) + 24*B*b**3*e**5*x**5*(d + e*x)**m/(e**5*m**5 + 15*e**5*m**4 + 85*e**5*m**3 + 225*e**5*m**2 + 274*e**5*m + 120*e**5), True))","A",0
3182,1,6186,0,6.652483," ","integrate((b*x+a)**2*(B*x+A)*(e*x+d)**m,x)","\begin{cases} d^{m} \left(A a^{2} x + A a b x^{2} + \frac{A b^{2} x^{3}}{3} + \frac{B a^{2} x^{2}}{2} + \frac{2 B a b x^{3}}{3} + \frac{B b^{2} x^{4}}{4}\right) & \text{for}\: e = 0 \\- \frac{2 A a^{2} e^{3}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{2 A a b d e^{2}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{6 A a b e^{3} x}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{2 A b^{2} d^{2} e}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{6 A b^{2} d e^{2} x}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{6 A b^{2} e^{3} x^{2}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{B a^{2} d e^{2}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{3 B a^{2} e^{3} x}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{4 B a b d^{2} e}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{12 B a b d e^{2} x}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} - \frac{12 B a b e^{3} x^{2}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} + \frac{6 B b^{2} d^{3} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} + \frac{11 B b^{2} d^{3}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} + \frac{18 B b^{2} d^{2} e x \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} + \frac{27 B b^{2} d^{2} e x}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} + \frac{18 B b^{2} d e^{2} x^{2} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} + \frac{18 B b^{2} d e^{2} x^{2}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} + \frac{6 B b^{2} e^{3} x^{3} \log{\left(\frac{d}{e} + x \right)}}{6 d^{3} e^{4} + 18 d^{2} e^{5} x + 18 d e^{6} x^{2} + 6 e^{7} x^{3}} & \text{for}\: m = -4 \\- \frac{A a^{2} e^{3}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{2 A a b d e^{2}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{4 A a b e^{3} x}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{2 A b^{2} d^{2} e \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{3 A b^{2} d^{2} e}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{4 A b^{2} d e^{2} x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{4 A b^{2} d e^{2} x}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{2 A b^{2} e^{3} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{B a^{2} d e^{2}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{2 B a^{2} e^{3} x}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{4 B a b d^{2} e \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{6 B a b d^{2} e}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{8 B a b d e^{2} x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{8 B a b d e^{2} x}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{4 B a b e^{3} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{6 B b^{2} d^{3} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{9 B b^{2} d^{3}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{12 B b^{2} d^{2} e x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{12 B b^{2} d^{2} e x}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} - \frac{6 B b^{2} d e^{2} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} + \frac{2 B b^{2} e^{3} x^{3}}{2 d^{2} e^{4} + 4 d e^{5} x + 2 e^{6} x^{2}} & \text{for}\: m = -3 \\- \frac{2 A a^{2} e^{3}}{2 d e^{4} + 2 e^{5} x} + \frac{4 A a b d e^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} + \frac{4 A a b d e^{2}}{2 d e^{4} + 2 e^{5} x} + \frac{4 A a b e^{3} x \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} - \frac{4 A b^{2} d^{2} e \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} - \frac{4 A b^{2} d^{2} e}{2 d e^{4} + 2 e^{5} x} - \frac{4 A b^{2} d e^{2} x \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} + \frac{2 A b^{2} e^{3} x^{2}}{2 d e^{4} + 2 e^{5} x} + \frac{2 B a^{2} d e^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} + \frac{2 B a^{2} d e^{2}}{2 d e^{4} + 2 e^{5} x} + \frac{2 B a^{2} e^{3} x \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} - \frac{8 B a b d^{2} e \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} - \frac{8 B a b d^{2} e}{2 d e^{4} + 2 e^{5} x} - \frac{8 B a b d e^{2} x \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} + \frac{4 B a b e^{3} x^{2}}{2 d e^{4} + 2 e^{5} x} + \frac{6 B b^{2} d^{3} \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} + \frac{6 B b^{2} d^{3}}{2 d e^{4} + 2 e^{5} x} + \frac{6 B b^{2} d^{2} e x \log{\left(\frac{d}{e} + x \right)}}{2 d e^{4} + 2 e^{5} x} - \frac{3 B b^{2} d e^{2} x^{2}}{2 d e^{4} + 2 e^{5} x} + \frac{B b^{2} e^{3} x^{3}}{2 d e^{4} + 2 e^{5} x} & \text{for}\: m = -2 \\\frac{A a^{2} \log{\left(\frac{d}{e} + x \right)}}{e} - \frac{2 A a b d \log{\left(\frac{d}{e} + x \right)}}{e^{2}} + \frac{2 A a b x}{e} + \frac{A b^{2} d^{2} \log{\left(\frac{d}{e} + x \right)}}{e^{3}} - \frac{A b^{2} d x}{e^{2}} + \frac{A b^{2} x^{2}}{2 e} - \frac{B a^{2} d \log{\left(\frac{d}{e} + x \right)}}{e^{2}} + \frac{B a^{2} x}{e} + \frac{2 B a b d^{2} \log{\left(\frac{d}{e} + x \right)}}{e^{3}} - \frac{2 B a b d x}{e^{2}} + \frac{B a b x^{2}}{e} - \frac{B b^{2} d^{3} \log{\left(\frac{d}{e} + x \right)}}{e^{4}} + \frac{B b^{2} d^{2} x}{e^{3}} - \frac{B b^{2} d x^{2}}{2 e^{2}} + \frac{B b^{2} x^{3}}{3 e} & \text{for}\: m = -1 \\\frac{A a^{2} d e^{3} m^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{9 A a^{2} d e^{3} m^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{26 A a^{2} d e^{3} m \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{24 A a^{2} d e^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{A a^{2} e^{4} m^{3} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{9 A a^{2} e^{4} m^{2} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{26 A a^{2} e^{4} m x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{24 A a^{2} e^{4} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{2 A a b d^{2} e^{2} m^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{14 A a b d^{2} e^{2} m \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{24 A a b d^{2} e^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{2 A a b d e^{3} m^{3} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{14 A a b d e^{3} m^{2} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{24 A a b d e^{3} m x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{2 A a b e^{4} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{16 A a b e^{4} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{38 A a b e^{4} m x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{24 A a b e^{4} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{2 A b^{2} d^{3} e m \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{8 A b^{2} d^{3} e \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{2 A b^{2} d^{2} e^{2} m^{2} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{8 A b^{2} d^{2} e^{2} m x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{A b^{2} d e^{3} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{5 A b^{2} d e^{3} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{4 A b^{2} d e^{3} m x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{A b^{2} e^{4} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{7 A b^{2} e^{4} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{14 A b^{2} e^{4} m x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{8 A b^{2} e^{4} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{B a^{2} d^{2} e^{2} m^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{7 B a^{2} d^{2} e^{2} m \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{12 B a^{2} d^{2} e^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{B a^{2} d e^{3} m^{3} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{7 B a^{2} d e^{3} m^{2} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{12 B a^{2} d e^{3} m x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{B a^{2} e^{4} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{8 B a^{2} e^{4} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{19 B a^{2} e^{4} m x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{12 B a^{2} e^{4} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{4 B a b d^{3} e m \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{16 B a b d^{3} e \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{4 B a b d^{2} e^{2} m^{2} x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{16 B a b d^{2} e^{2} m x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{2 B a b d e^{3} m^{3} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{10 B a b d e^{3} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{8 B a b d e^{3} m x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{2 B a b e^{4} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{14 B a b e^{4} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{28 B a b e^{4} m x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{16 B a b e^{4} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{6 B b^{2} d^{4} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{6 B b^{2} d^{3} e m x \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{3 B b^{2} d^{2} e^{2} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} - \frac{3 B b^{2} d^{2} e^{2} m x^{2} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{B b^{2} d e^{3} m^{3} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{3 B b^{2} d e^{3} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{2 B b^{2} d e^{3} m x^{3} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{B b^{2} e^{4} m^{3} x^{4} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{6 B b^{2} e^{4} m^{2} x^{4} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{11 B b^{2} e^{4} m x^{4} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} + \frac{6 B b^{2} e^{4} x^{4} \left(d + e x\right)^{m}}{e^{4} m^{4} + 10 e^{4} m^{3} + 35 e^{4} m^{2} + 50 e^{4} m + 24 e^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((d**m*(A*a**2*x + A*a*b*x**2 + A*b**2*x**3/3 + B*a**2*x**2/2 + 2*B*a*b*x**3/3 + B*b**2*x**4/4), Eq(e, 0)), (-2*A*a**2*e**3/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 2*A*a*b*d*e**2/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 6*A*a*b*e**3*x/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 2*A*b**2*d**2*e/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 6*A*b**2*d*e**2*x/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 6*A*b**2*e**3*x**2/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - B*a**2*d*e**2/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 3*B*a**2*e**3*x/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 4*B*a*b*d**2*e/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 12*B*a*b*d*e**2*x/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) - 12*B*a*b*e**3*x**2/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) + 6*B*b**2*d**3*log(d/e + x)/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) + 11*B*b**2*d**3/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) + 18*B*b**2*d**2*e*x*log(d/e + x)/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) + 27*B*b**2*d**2*e*x/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) + 18*B*b**2*d*e**2*x**2*log(d/e + x)/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) + 18*B*b**2*d*e**2*x**2/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3) + 6*B*b**2*e**3*x**3*log(d/e + x)/(6*d**3*e**4 + 18*d**2*e**5*x + 18*d*e**6*x**2 + 6*e**7*x**3), Eq(m, -4)), (-A*a**2*e**3/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 2*A*a*b*d*e**2/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 4*A*a*b*e**3*x/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 2*A*b**2*d**2*e*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 3*A*b**2*d**2*e/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 4*A*b**2*d*e**2*x*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 4*A*b**2*d*e**2*x/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 2*A*b**2*e**3*x**2*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - B*a**2*d*e**2/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 2*B*a**2*e**3*x/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 4*B*a*b*d**2*e*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 6*B*a*b*d**2*e/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 8*B*a*b*d*e**2*x*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 8*B*a*b*d*e**2*x/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 4*B*a*b*e**3*x**2*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 6*B*b**2*d**3*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 9*B*b**2*d**3/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 12*B*b**2*d**2*e*x*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 12*B*b**2*d**2*e*x/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) - 6*B*b**2*d*e**2*x**2*log(d/e + x)/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2) + 2*B*b**2*e**3*x**3/(2*d**2*e**4 + 4*d*e**5*x + 2*e**6*x**2), Eq(m, -3)), (-2*A*a**2*e**3/(2*d*e**4 + 2*e**5*x) + 4*A*a*b*d*e**2*log(d/e + x)/(2*d*e**4 + 2*e**5*x) + 4*A*a*b*d*e**2/(2*d*e**4 + 2*e**5*x) + 4*A*a*b*e**3*x*log(d/e + x)/(2*d*e**4 + 2*e**5*x) - 4*A*b**2*d**2*e*log(d/e + x)/(2*d*e**4 + 2*e**5*x) - 4*A*b**2*d**2*e/(2*d*e**4 + 2*e**5*x) - 4*A*b**2*d*e**2*x*log(d/e + x)/(2*d*e**4 + 2*e**5*x) + 2*A*b**2*e**3*x**2/(2*d*e**4 + 2*e**5*x) + 2*B*a**2*d*e**2*log(d/e + x)/(2*d*e**4 + 2*e**5*x) + 2*B*a**2*d*e**2/(2*d*e**4 + 2*e**5*x) + 2*B*a**2*e**3*x*log(d/e + x)/(2*d*e**4 + 2*e**5*x) - 8*B*a*b*d**2*e*log(d/e + x)/(2*d*e**4 + 2*e**5*x) - 8*B*a*b*d**2*e/(2*d*e**4 + 2*e**5*x) - 8*B*a*b*d*e**2*x*log(d/e + x)/(2*d*e**4 + 2*e**5*x) + 4*B*a*b*e**3*x**2/(2*d*e**4 + 2*e**5*x) + 6*B*b**2*d**3*log(d/e + x)/(2*d*e**4 + 2*e**5*x) + 6*B*b**2*d**3/(2*d*e**4 + 2*e**5*x) + 6*B*b**2*d**2*e*x*log(d/e + x)/(2*d*e**4 + 2*e**5*x) - 3*B*b**2*d*e**2*x**2/(2*d*e**4 + 2*e**5*x) + B*b**2*e**3*x**3/(2*d*e**4 + 2*e**5*x), Eq(m, -2)), (A*a**2*log(d/e + x)/e - 2*A*a*b*d*log(d/e + x)/e**2 + 2*A*a*b*x/e + A*b**2*d**2*log(d/e + x)/e**3 - A*b**2*d*x/e**2 + A*b**2*x**2/(2*e) - B*a**2*d*log(d/e + x)/e**2 + B*a**2*x/e + 2*B*a*b*d**2*log(d/e + x)/e**3 - 2*B*a*b*d*x/e**2 + B*a*b*x**2/e - B*b**2*d**3*log(d/e + x)/e**4 + B*b**2*d**2*x/e**3 - B*b**2*d*x**2/(2*e**2) + B*b**2*x**3/(3*e), Eq(m, -1)), (A*a**2*d*e**3*m**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 9*A*a**2*d*e**3*m**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 26*A*a**2*d*e**3*m*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 24*A*a**2*d*e**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + A*a**2*e**4*m**3*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 9*A*a**2*e**4*m**2*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 26*A*a**2*e**4*m*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 24*A*a**2*e**4*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 2*A*a*b*d**2*e**2*m**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 14*A*a*b*d**2*e**2*m*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 24*A*a*b*d**2*e**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 2*A*a*b*d*e**3*m**3*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 14*A*a*b*d*e**3*m**2*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 24*A*a*b*d*e**3*m*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 2*A*a*b*e**4*m**3*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 16*A*a*b*e**4*m**2*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 38*A*a*b*e**4*m*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 24*A*a*b*e**4*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 2*A*b**2*d**3*e*m*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 8*A*b**2*d**3*e*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 2*A*b**2*d**2*e**2*m**2*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 8*A*b**2*d**2*e**2*m*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + A*b**2*d*e**3*m**3*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 5*A*b**2*d*e**3*m**2*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 4*A*b**2*d*e**3*m*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + A*b**2*e**4*m**3*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 7*A*b**2*e**4*m**2*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 14*A*b**2*e**4*m*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 8*A*b**2*e**4*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - B*a**2*d**2*e**2*m**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 7*B*a**2*d**2*e**2*m*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 12*B*a**2*d**2*e**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + B*a**2*d*e**3*m**3*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 7*B*a**2*d*e**3*m**2*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 12*B*a**2*d*e**3*m*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + B*a**2*e**4*m**3*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 8*B*a**2*e**4*m**2*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 19*B*a**2*e**4*m*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 12*B*a**2*e**4*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 4*B*a*b*d**3*e*m*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 16*B*a*b*d**3*e*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 4*B*a*b*d**2*e**2*m**2*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 16*B*a*b*d**2*e**2*m*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 2*B*a*b*d*e**3*m**3*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 10*B*a*b*d*e**3*m**2*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 8*B*a*b*d*e**3*m*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 2*B*a*b*e**4*m**3*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 14*B*a*b*e**4*m**2*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 28*B*a*b*e**4*m*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 16*B*a*b*e**4*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 6*B*b**2*d**4*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 6*B*b**2*d**3*e*m*x*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 3*B*b**2*d**2*e**2*m**2*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) - 3*B*b**2*d**2*e**2*m*x**2*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + B*b**2*d*e**3*m**3*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 3*B*b**2*d*e**3*m**2*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 2*B*b**2*d*e**3*m*x**3*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + B*b**2*e**4*m**3*x**4*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 6*B*b**2*e**4*m**2*x**4*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 11*B*b**2*e**4*m*x**4*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4) + 6*B*b**2*e**4*x**4*(d + e*x)**m/(e**4*m**4 + 10*e**4*m**3 + 35*e**4*m**2 + 50*e**4*m + 24*e**4), True))","A",0
3183,1,1982,0,2.793138," ","integrate((b*x+a)*(B*x+A)*(e*x+d)**m,x)","\begin{cases} d^{m} \left(A a x + \frac{A b x^{2}}{2} + \frac{B a x^{2}}{2} + \frac{B b x^{3}}{3}\right) & \text{for}\: e = 0 \\- \frac{A a e^{2}}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} - \frac{A b d e}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} - \frac{2 A b e^{2} x}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} - \frac{B a d e}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} - \frac{2 B a e^{2} x}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} + \frac{2 B b d^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} + \frac{3 B b d^{2}}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} + \frac{4 B b d e x \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} + \frac{4 B b d e x}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} + \frac{2 B b e^{2} x^{2} \log{\left(\frac{d}{e} + x \right)}}{2 d^{2} e^{3} + 4 d e^{4} x + 2 e^{5} x^{2}} & \text{for}\: m = -3 \\- \frac{A a e^{2}}{d e^{3} + e^{4} x} + \frac{A b d e \log{\left(\frac{d}{e} + x \right)}}{d e^{3} + e^{4} x} + \frac{A b d e}{d e^{3} + e^{4} x} + \frac{A b e^{2} x \log{\left(\frac{d}{e} + x \right)}}{d e^{3} + e^{4} x} + \frac{B a d e \log{\left(\frac{d}{e} + x \right)}}{d e^{3} + e^{4} x} + \frac{B a d e}{d e^{3} + e^{4} x} + \frac{B a e^{2} x \log{\left(\frac{d}{e} + x \right)}}{d e^{3} + e^{4} x} - \frac{2 B b d^{2} \log{\left(\frac{d}{e} + x \right)}}{d e^{3} + e^{4} x} - \frac{2 B b d^{2}}{d e^{3} + e^{4} x} - \frac{2 B b d e x \log{\left(\frac{d}{e} + x \right)}}{d e^{3} + e^{4} x} + \frac{B b e^{2} x^{2}}{d e^{3} + e^{4} x} & \text{for}\: m = -2 \\\frac{A a \log{\left(\frac{d}{e} + x \right)}}{e} - \frac{A b d \log{\left(\frac{d}{e} + x \right)}}{e^{2}} + \frac{A b x}{e} - \frac{B a d \log{\left(\frac{d}{e} + x \right)}}{e^{2}} + \frac{B a x}{e} + \frac{B b d^{2} \log{\left(\frac{d}{e} + x \right)}}{e^{3}} - \frac{B b d x}{e^{2}} + \frac{B b x^{2}}{2 e} & \text{for}\: m = -1 \\\frac{A a d e^{2} m^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{5 A a d e^{2} m \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{6 A a d e^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{A a e^{3} m^{2} x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{5 A a e^{3} m x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{6 A a e^{3} x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} - \frac{A b d^{2} e m \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} - \frac{3 A b d^{2} e \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{A b d e^{2} m^{2} x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{3 A b d e^{2} m x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{A b e^{3} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{4 A b e^{3} m x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{3 A b e^{3} x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} - \frac{B a d^{2} e m \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} - \frac{3 B a d^{2} e \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{B a d e^{2} m^{2} x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{3 B a d e^{2} m x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{B a e^{3} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{4 B a e^{3} m x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{3 B a e^{3} x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{2 B b d^{3} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} - \frac{2 B b d^{2} e m x \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{B b d e^{2} m^{2} x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{B b d e^{2} m x^{2} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{B b e^{3} m^{2} x^{3} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{3 B b e^{3} m x^{3} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} + \frac{2 B b e^{3} x^{3} \left(d + e x\right)^{m}}{e^{3} m^{3} + 6 e^{3} m^{2} + 11 e^{3} m + 6 e^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((d**m*(A*a*x + A*b*x**2/2 + B*a*x**2/2 + B*b*x**3/3), Eq(e, 0)), (-A*a*e**2/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) - A*b*d*e/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) - 2*A*b*e**2*x/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) - B*a*d*e/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) - 2*B*a*e**2*x/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) + 2*B*b*d**2*log(d/e + x)/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) + 3*B*b*d**2/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) + 4*B*b*d*e*x*log(d/e + x)/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) + 4*B*b*d*e*x/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2) + 2*B*b*e**2*x**2*log(d/e + x)/(2*d**2*e**3 + 4*d*e**4*x + 2*e**5*x**2), Eq(m, -3)), (-A*a*e**2/(d*e**3 + e**4*x) + A*b*d*e*log(d/e + x)/(d*e**3 + e**4*x) + A*b*d*e/(d*e**3 + e**4*x) + A*b*e**2*x*log(d/e + x)/(d*e**3 + e**4*x) + B*a*d*e*log(d/e + x)/(d*e**3 + e**4*x) + B*a*d*e/(d*e**3 + e**4*x) + B*a*e**2*x*log(d/e + x)/(d*e**3 + e**4*x) - 2*B*b*d**2*log(d/e + x)/(d*e**3 + e**4*x) - 2*B*b*d**2/(d*e**3 + e**4*x) - 2*B*b*d*e*x*log(d/e + x)/(d*e**3 + e**4*x) + B*b*e**2*x**2/(d*e**3 + e**4*x), Eq(m, -2)), (A*a*log(d/e + x)/e - A*b*d*log(d/e + x)/e**2 + A*b*x/e - B*a*d*log(d/e + x)/e**2 + B*a*x/e + B*b*d**2*log(d/e + x)/e**3 - B*b*d*x/e**2 + B*b*x**2/(2*e), Eq(m, -1)), (A*a*d*e**2*m**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 5*A*a*d*e**2*m*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 6*A*a*d*e**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + A*a*e**3*m**2*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 5*A*a*e**3*m*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 6*A*a*e**3*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) - A*b*d**2*e*m*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) - 3*A*b*d**2*e*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + A*b*d*e**2*m**2*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 3*A*b*d*e**2*m*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + A*b*e**3*m**2*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 4*A*b*e**3*m*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 3*A*b*e**3*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) - B*a*d**2*e*m*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) - 3*B*a*d**2*e*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + B*a*d*e**2*m**2*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 3*B*a*d*e**2*m*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + B*a*e**3*m**2*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 4*B*a*e**3*m*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 3*B*a*e**3*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 2*B*b*d**3*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) - 2*B*b*d**2*e*m*x*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + B*b*d*e**2*m**2*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + B*b*d*e**2*m*x**2*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + B*b*e**3*m**2*x**3*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 3*B*b*e**3*m*x**3*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3) + 2*B*b*e**3*x**3*(d + e*x)**m/(e**3*m**3 + 6*e**3*m**2 + 11*e**3*m + 6*e**3), True))","A",0
3184,1,377,0,0.874136," ","integrate((B*x+A)*(e*x+d)**m,x)","\begin{cases} d^{m} \left(A x + \frac{B x^{2}}{2}\right) & \text{for}\: e = 0 \\- \frac{A e}{d e^{2} + e^{3} x} + \frac{B d \log{\left(\frac{d}{e} + x \right)}}{d e^{2} + e^{3} x} + \frac{B d}{d e^{2} + e^{3} x} + \frac{B e x \log{\left(\frac{d}{e} + x \right)}}{d e^{2} + e^{3} x} & \text{for}\: m = -2 \\\frac{A \log{\left(\frac{d}{e} + x \right)}}{e} - \frac{B d \log{\left(\frac{d}{e} + x \right)}}{e^{2}} + \frac{B x}{e} & \text{for}\: m = -1 \\\frac{A d e m \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} + \frac{2 A d e \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} + \frac{A e^{2} m x \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} + \frac{2 A e^{2} x \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} - \frac{B d^{2} \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} + \frac{B d e m x \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} + \frac{B e^{2} m x^{2} \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} + \frac{B e^{2} x^{2} \left(d + e x\right)^{m}}{e^{2} m^{2} + 3 e^{2} m + 2 e^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((d**m*(A*x + B*x**2/2), Eq(e, 0)), (-A*e/(d*e**2 + e**3*x) + B*d*log(d/e + x)/(d*e**2 + e**3*x) + B*d/(d*e**2 + e**3*x) + B*e*x*log(d/e + x)/(d*e**2 + e**3*x), Eq(m, -2)), (A*log(d/e + x)/e - B*d*log(d/e + x)/e**2 + B*x/e, Eq(m, -1)), (A*d*e*m*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2) + 2*A*d*e*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2) + A*e**2*m*x*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2) + 2*A*e**2*x*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2) - B*d**2*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2) + B*d*e*m*x*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2) + B*e**2*m*x**2*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2) + B*e**2*x**2*(d + e*x)**m/(e**2*m**2 + 3*e**2*m + 2*e**2), True))","A",0
3185,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**m/(b*x+a),x)","\int \frac{\left(A + B x\right) \left(d + e x\right)^{m}}{a + b x}\, dx"," ",0,"Integral((A + B*x)*(d + e*x)**m/(a + b*x), x)","F",0
3186,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)**m/(b*x+a)**2,x)","\int \frac{\left(A + B x\right) \left(d + e x\right)^{m}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral((A + B*x)*(d + e*x)**m/(a + b*x)**2, x)","F",0
3187,1,1822,0,2.805438," ","integrate((1-2*x)*(2+3*x)**m*(3+5*x)**3,x)","\begin{cases} - \frac{243000 x^{4} \log{\left(x + \frac{2}{3} \right)}}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{648000 x^{3} \log{\left(x + \frac{2}{3} \right)}}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{332100 x^{3}}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{648000 x^{2} \log{\left(x + \frac{2}{3} \right)}}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{634230 x^{2}}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{288000 x \log{\left(x + \frac{2}{3} \right)}}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{404124 x}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{48000 \log{\left(x + \frac{2}{3} \right)}}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} - \frac{85915}{236196 x^{4} + 629856 x^{3} + 629856 x^{2} + 279936 x + 46656} & \text{for}\: m = -5 \\- \frac{121500 x^{4}}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{166050 x^{3} \log{\left(x + \frac{2}{3} \right)}}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{332100 x^{2} \log{\left(x + \frac{2}{3} \right)}}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{353970 x^{2}}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{221400 x \log{\left(x + \frac{2}{3} \right)}}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{326997 x}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{49200 \log{\left(x + \frac{2}{3} \right)}}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} + \frac{84692}{39366 x^{3} + 78732 x^{2} + 52488 x + 11664} & \text{for}\: m = -4 \\- \frac{6750 x^{4}}{1458 x^{2} + 1944 x + 648} + \frac{450 x^{3}}{1458 x^{2} + 1944 x + 648} - \frac{3330 x^{2} \log{\left(x + \frac{2}{3} \right)}}{1458 x^{2} + 1944 x + 648} - \frac{4440 x \log{\left(x + \frac{2}{3} \right)}}{1458 x^{2} + 1944 x + 648} - \frac{8814 x}{1458 x^{2} + 1944 x + 648} - \frac{1480 \log{\left(x + \frac{2}{3} \right)}}{1458 x^{2} + 1944 x + 648} - \frac{4407}{1458 x^{2} + 1944 x + 648} & \text{for}\: m = -3 \\- \frac{13500 x^{4}}{1458 x + 972} - \frac{8325 x^{3}}{1458 x + 972} + \frac{9360 x^{2}}{1458 x + 972} + \frac{642 x \log{\left(x + \frac{2}{3} \right)}}{1458 x + 972} + \frac{428 \log{\left(x + \frac{2}{3} \right)}}{1458 x + 972} - \frac{3946}{1458 x + 972} & \text{for}\: m = -2 \\- \frac{125 x^{4}}{6} - \frac{475 x^{3}}{27} + \frac{545 x^{2}}{54} + \frac{1097 x}{81} - \frac{7 \log{\left(x + \frac{2}{3} \right)}}{243} & \text{for}\: m = -1 \\- \frac{20250 m^{4} x^{5} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{39825 m^{4} x^{4} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{21195 m^{4} x^{3} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{4131 m^{4} x^{2} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{6561 m^{4} x \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{1458 m^{4} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{202500 m^{3} x^{5} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{370575 m^{3} x^{4} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{148140 m^{3} x^{3} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{96093 m^{3} x^{2} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{86346 m^{3} x \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{17496 m^{3} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{708750 m^{2} x^{5} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{1227825 m^{2} x^{4} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{368955 m^{2} x^{3} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{455229 m^{2} x^{2} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{343215 m^{2} x \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{66366 m^{2} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{1012500 m x^{5} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{1686825 m x^{4} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{387810 m x^{3} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{756927 m x^{2} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{526038 m x \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{99240 m \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{486000 x^{5} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{789750 x^{4} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} - \frac{145800 x^{3} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{393660 x^{2} \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{262440 x \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} + \frac{48800 \left(3 x + 2\right)^{m}}{81 m^{5} + 1215 m^{4} + 6885 m^{3} + 18225 m^{2} + 22194 m + 9720} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-243000*x**4*log(x + 2/3)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 648000*x**3*log(x + 2/3)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 332100*x**3/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 648000*x**2*log(x + 2/3)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 634230*x**2/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 288000*x*log(x + 2/3)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 404124*x/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 48000*log(x + 2/3)/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656) - 85915/(236196*x**4 + 629856*x**3 + 629856*x**2 + 279936*x + 46656), Eq(m, -5)), (-121500*x**4/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 166050*x**3*log(x + 2/3)/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 332100*x**2*log(x + 2/3)/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 353970*x**2/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 221400*x*log(x + 2/3)/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 326997*x/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 49200*log(x + 2/3)/(39366*x**3 + 78732*x**2 + 52488*x + 11664) + 84692/(39366*x**3 + 78732*x**2 + 52488*x + 11664), Eq(m, -4)), (-6750*x**4/(1458*x**2 + 1944*x + 648) + 450*x**3/(1458*x**2 + 1944*x + 648) - 3330*x**2*log(x + 2/3)/(1458*x**2 + 1944*x + 648) - 4440*x*log(x + 2/3)/(1458*x**2 + 1944*x + 648) - 8814*x/(1458*x**2 + 1944*x + 648) - 1480*log(x + 2/3)/(1458*x**2 + 1944*x + 648) - 4407/(1458*x**2 + 1944*x + 648), Eq(m, -3)), (-13500*x**4/(1458*x + 972) - 8325*x**3/(1458*x + 972) + 9360*x**2/(1458*x + 972) + 642*x*log(x + 2/3)/(1458*x + 972) + 428*log(x + 2/3)/(1458*x + 972) - 3946/(1458*x + 972), Eq(m, -2)), (-125*x**4/6 - 475*x**3/27 + 545*x**2/54 + 1097*x/81 - 7*log(x + 2/3)/243, Eq(m, -1)), (-20250*m**4*x**5*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 39825*m**4*x**4*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 21195*m**4*x**3*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 4131*m**4*x**2*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 6561*m**4*x*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 1458*m**4*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 202500*m**3*x**5*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 370575*m**3*x**4*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 148140*m**3*x**3*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 96093*m**3*x**2*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 86346*m**3*x*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 17496*m**3*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 708750*m**2*x**5*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 1227825*m**2*x**4*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 368955*m**2*x**3*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 455229*m**2*x**2*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 343215*m**2*x*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 66366*m**2*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 1012500*m*x**5*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 1686825*m*x**4*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 387810*m*x**3*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 756927*m*x**2*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 526038*m*x*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 99240*m*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 486000*x**5*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 789750*x**4*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) - 145800*x**3*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 393660*x**2*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 262440*x*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720) + 48800*(3*x + 2)**m/(81*m**5 + 1215*m**4 + 6885*m**3 + 18225*m**2 + 22194*m + 9720), True))","A",0
3188,1,1017,0,1.763468," ","integrate((1-2*x)*(2+3*x)**m*(3+5*x)**2,x)","\begin{cases} - \frac{4050 x^{3} \log{\left(x + \frac{2}{3} \right)}}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} - \frac{8100 x^{2} \log{\left(x + \frac{2}{3} \right)}}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} - \frac{5265 x^{2}}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} - \frac{5400 x \log{\left(x + \frac{2}{3} \right)}}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} - \frac{6696 x}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} - \frac{1200 \log{\left(x + \frac{2}{3} \right)}}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} - \frac{2131}{6561 x^{3} + 13122 x^{2} + 8748 x + 1944} & \text{for}\: m = -4 \\- \frac{900 x^{3}}{486 x^{2} + 648 x + 216} + \frac{1170 x^{2} \log{\left(x + \frac{2}{3} \right)}}{486 x^{2} + 648 x + 216} + \frac{1560 x \log{\left(x + \frac{2}{3} \right)}}{486 x^{2} + 648 x + 216} + \frac{1344 x}{486 x^{2} + 648 x + 216} + \frac{520 \log{\left(x + \frac{2}{3} \right)}}{486 x^{2} + 648 x + 216} + \frac{627}{486 x^{2} + 648 x + 216} & \text{for}\: m = -3 \\- \frac{75 x^{3}}{27 x + 18} + \frac{45 x^{2}}{27 x + 18} - \frac{24 x \log{\left(x + \frac{2}{3} \right)}}{27 x + 18} - \frac{16 \log{\left(x + \frac{2}{3} \right)}}{27 x + 18} - \frac{43}{27 x + 18} & \text{for}\: m = -2 \\- \frac{50 x^{3}}{9} - \frac{5 x^{2}}{18} + \frac{118 x}{27} + \frac{7 \log{\left(x + \frac{2}{3} \right)}}{81} & \text{for}\: m = -1 \\- \frac{1350 m^{3} x^{4} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{1845 m^{3} x^{3} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{306 m^{3} x^{2} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{459 m^{3} x \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{162 m^{3} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{8100 m^{2} x^{4} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{9315 m^{2} x^{3} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{1242 m^{2} x^{2} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{4539 m^{2} x \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{1314 m^{2} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{14850 m x^{4} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{15030 m x^{3} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{5436 m x^{2} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{9870 m x \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{2644 m \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{8100 x^{4} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} - \frac{7560 x^{3} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{3888 x^{2} \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{5832 x \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} + \frac{1520 \left(3 x + 2\right)^{m}}{27 m^{4} + 270 m^{3} + 945 m^{2} + 1350 m + 648} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4050*x**3*log(x + 2/3)/(6561*x**3 + 13122*x**2 + 8748*x + 1944) - 8100*x**2*log(x + 2/3)/(6561*x**3 + 13122*x**2 + 8748*x + 1944) - 5265*x**2/(6561*x**3 + 13122*x**2 + 8748*x + 1944) - 5400*x*log(x + 2/3)/(6561*x**3 + 13122*x**2 + 8748*x + 1944) - 6696*x/(6561*x**3 + 13122*x**2 + 8748*x + 1944) - 1200*log(x + 2/3)/(6561*x**3 + 13122*x**2 + 8748*x + 1944) - 2131/(6561*x**3 + 13122*x**2 + 8748*x + 1944), Eq(m, -4)), (-900*x**3/(486*x**2 + 648*x + 216) + 1170*x**2*log(x + 2/3)/(486*x**2 + 648*x + 216) + 1560*x*log(x + 2/3)/(486*x**2 + 648*x + 216) + 1344*x/(486*x**2 + 648*x + 216) + 520*log(x + 2/3)/(486*x**2 + 648*x + 216) + 627/(486*x**2 + 648*x + 216), Eq(m, -3)), (-75*x**3/(27*x + 18) + 45*x**2/(27*x + 18) - 24*x*log(x + 2/3)/(27*x + 18) - 16*log(x + 2/3)/(27*x + 18) - 43/(27*x + 18), Eq(m, -2)), (-50*x**3/9 - 5*x**2/18 + 118*x/27 + 7*log(x + 2/3)/81, Eq(m, -1)), (-1350*m**3*x**4*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 1845*m**3*x**3*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 306*m**3*x**2*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 459*m**3*x*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 162*m**3*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 8100*m**2*x**4*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 9315*m**2*x**3*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 1242*m**2*x**2*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 4539*m**2*x*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 1314*m**2*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 14850*m*x**4*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 15030*m*x**3*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 5436*m*x**2*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 9870*m*x*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 2644*m*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 8100*x**4*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) - 7560*x**3*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 3888*x**2*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 5832*x*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648) + 1520*(3*x + 2)**m/(27*m**4 + 270*m**3 + 945*m**2 + 1350*m + 648), True))","A",0
3189,1,488,0,1.048056," ","integrate((1-2*x)*(2+3*x)**m*(3+5*x),x)","\begin{cases} - \frac{180 x^{2} \log{\left(x + \frac{2}{3} \right)}}{486 x^{2} + 648 x + 216} - \frac{240 x \log{\left(x + \frac{2}{3} \right)}}{486 x^{2} + 648 x + 216} - \frac{222 x}{486 x^{2} + 648 x + 216} - \frac{80 \log{\left(x + \frac{2}{3} \right)}}{486 x^{2} + 648 x + 216} - \frac{141}{486 x^{2} + 648 x + 216} & \text{for}\: m = -3 \\- \frac{90 x^{2}}{81 x + 54} + \frac{111 x \log{\left(x + \frac{2}{3} \right)}}{81 x + 54} + \frac{74 \log{\left(x + \frac{2}{3} \right)}}{81 x + 54} + \frac{47}{81 x + 54} & \text{for}\: m = -2 \\- \frac{5 x^{2}}{3} + \frac{17 x}{9} - \frac{7 \log{\left(x + \frac{2}{3} \right)}}{27} & \text{for}\: m = -1 \\- \frac{270 m^{2} x^{3} \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} - \frac{207 m^{2} x^{2} \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} + \frac{63 m^{2} x \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} + \frac{54 m^{2} \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} - \frac{810 m x^{3} \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} - \frac{288 m x^{2} \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} + \frac{591 m x \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} + \frac{282 m \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} - \frac{540 x^{3} \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} - \frac{81 x^{2} \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} + \frac{486 x \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} + \frac{200 \left(3 x + 2\right)^{m}}{27 m^{3} + 162 m^{2} + 297 m + 162} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-180*x**2*log(x + 2/3)/(486*x**2 + 648*x + 216) - 240*x*log(x + 2/3)/(486*x**2 + 648*x + 216) - 222*x/(486*x**2 + 648*x + 216) - 80*log(x + 2/3)/(486*x**2 + 648*x + 216) - 141/(486*x**2 + 648*x + 216), Eq(m, -3)), (-90*x**2/(81*x + 54) + 111*x*log(x + 2/3)/(81*x + 54) + 74*log(x + 2/3)/(81*x + 54) + 47/(81*x + 54), Eq(m, -2)), (-5*x**2/3 + 17*x/9 - 7*log(x + 2/3)/27, Eq(m, -1)), (-270*m**2*x**3*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) - 207*m**2*x**2*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) + 63*m**2*x*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) + 54*m**2*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) - 810*m*x**3*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) - 288*m*x**2*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) + 591*m*x*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) + 282*m*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) - 540*x**3*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) - 81*x**2*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) + 486*x*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162) + 200*(3*x + 2)**m/(27*m**3 + 162*m**2 + 297*m + 162), True))","A",0
3190,0,0,0,0.000000," ","integrate((1-2*x)*(2+3*x)**m/(3+5*x),x)","- \int \left(- \frac{\left(3 x + 2\right)^{m}}{5 x + 3}\right)\, dx - \int \frac{2 x \left(3 x + 2\right)^{m}}{5 x + 3}\, dx"," ",0,"-Integral(-(3*x + 2)**m/(5*x + 3), x) - Integral(2*x*(3*x + 2)**m/(5*x + 3), x)","F",0
3191,0,0,0,0.000000," ","integrate((1-2*x)*(2+3*x)**m/(3+5*x)**2,x)","- \int \left(- \frac{\left(3 x + 2\right)^{m}}{25 x^{2} + 30 x + 9}\right)\, dx - \int \frac{2 x \left(3 x + 2\right)^{m}}{25 x^{2} + 30 x + 9}\, dx"," ",0,"-Integral(-(3*x + 2)**m/(25*x**2 + 30*x + 9), x) - Integral(2*x*(3*x + 2)**m/(25*x**2 + 30*x + 9), x)","F",0
3192,0,0,0,0.000000," ","integrate((1-2*x)*(2+3*x)**m/(3+5*x)**3,x)","- \int \left(- \frac{\left(3 x + 2\right)^{m}}{125 x^{3} + 225 x^{2} + 135 x + 27}\right)\, dx - \int \frac{2 x \left(3 x + 2\right)^{m}}{125 x^{3} + 225 x^{2} + 135 x + 27}\, dx"," ",0,"-Integral(-(3*x + 2)**m/(125*x**3 + 225*x**2 + 135*x + 27), x) - Integral(2*x*(3*x + 2)**m/(125*x**3 + 225*x**2 + 135*x + 27), x)","F",0
3193,0,0,0,0.000000," ","integrate((2+3*x)**m*(3+5*x)**3/(1-2*x),x)","- \int \frac{27 \left(3 x + 2\right)^{m}}{2 x - 1}\, dx - \int \frac{135 x \left(3 x + 2\right)^{m}}{2 x - 1}\, dx - \int \frac{225 x^{2} \left(3 x + 2\right)^{m}}{2 x - 1}\, dx - \int \frac{125 x^{3} \left(3 x + 2\right)^{m}}{2 x - 1}\, dx"," ",0,"-Integral(27*(3*x + 2)**m/(2*x - 1), x) - Integral(135*x*(3*x + 2)**m/(2*x - 1), x) - Integral(225*x**2*(3*x + 2)**m/(2*x - 1), x) - Integral(125*x**3*(3*x + 2)**m/(2*x - 1), x)","F",0
3194,0,0,0,0.000000," ","integrate((2+3*x)**m*(3+5*x)**2/(1-2*x),x)","- \int \frac{9 \left(3 x + 2\right)^{m}}{2 x - 1}\, dx - \int \frac{30 x \left(3 x + 2\right)^{m}}{2 x - 1}\, dx - \int \frac{25 x^{2} \left(3 x + 2\right)^{m}}{2 x - 1}\, dx"," ",0,"-Integral(9*(3*x + 2)**m/(2*x - 1), x) - Integral(30*x*(3*x + 2)**m/(2*x - 1), x) - Integral(25*x**2*(3*x + 2)**m/(2*x - 1), x)","F",0
3195,0,0,0,0.000000," ","integrate((2+3*x)**m*(3+5*x)/(1-2*x),x)","- \int \frac{3 \left(3 x + 2\right)^{m}}{2 x - 1}\, dx - \int \frac{5 x \left(3 x + 2\right)^{m}}{2 x - 1}\, dx"," ",0,"-Integral(3*(3*x + 2)**m/(2*x - 1), x) - Integral(5*x*(3*x + 2)**m/(2*x - 1), x)","F",0
3196,1,112,0,1.651640," ","integrate((2+3*x)**m/(1-2*x)/(3+5*x),x)","- \frac{3^{m} m \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{7}{6 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{11 \Gamma\left(1 - m\right)} + \frac{3^{m} m \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, 1 - m\right) \Gamma\left(1 - m\right)}{165 \left(x + \frac{2}{3}\right) \Gamma\left(2 - m\right)} - \frac{3^{m} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, 1 - m\right) \Gamma\left(1 - m\right)}{165 \left(x + \frac{2}{3}\right) \Gamma\left(2 - m\right)}"," ",0,"-3**m*m*(x + 2/3)**m*lerchphi(7/(6*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(11*gamma(1 - m)) + 3**m*m*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, 1 - m)*gamma(1 - m)/(165*(x + 2/3)*gamma(2 - m)) - 3**m*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, 1 - m)*gamma(1 - m)/(165*(x + 2/3)*gamma(2 - m))","C",0
3197,1,413,0,2.770000," ","integrate((2+3*x)**m/(1-2*x)/(3+5*x)**2,x)","\frac{495 \cdot 45^{m} m^{2} \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1815 \cdot 15^{m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) - 121 \cdot 15^{m} \Gamma\left(1 - m\right)} - \frac{33 \cdot 45^{m} m^{2} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1815 \cdot 15^{m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) - 121 \cdot 15^{m} \Gamma\left(1 - m\right)} + \frac{30 \cdot 45^{m} m \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1815 \cdot 15^{m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) - 121 \cdot 15^{m} \Gamma\left(1 - m\right)} - \frac{30 \cdot 45^{m} m \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{7}{6 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1815 \cdot 15^{m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) - 121 \cdot 15^{m} \Gamma\left(1 - m\right)} + \frac{495 \cdot 45^{m} m \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Gamma\left(- m\right)}{1815 \cdot 15^{m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) - 121 \cdot 15^{m} \Gamma\left(1 - m\right)} - \frac{2 \cdot 45^{m} m \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1815 \cdot 15^{m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) - 121 \cdot 15^{m} \Gamma\left(1 - m\right)} + \frac{2 \cdot 45^{m} m \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{7}{6 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{1815 \cdot 15^{m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) - 121 \cdot 15^{m} \Gamma\left(1 - m\right)}"," ",0,"495*45**m*m**2*(x + 2/3)*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(1815*15**m*(x + 2/3)*gamma(1 - m) - 121*15**m*gamma(1 - m)) - 33*45**m*m**2*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(1815*15**m*(x + 2/3)*gamma(1 - m) - 121*15**m*gamma(1 - m)) + 30*45**m*m*(x + 2/3)*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(1815*15**m*(x + 2/3)*gamma(1 - m) - 121*15**m*gamma(1 - m)) - 30*45**m*m*(x + 2/3)*(x + 2/3)**m*lerchphi(7/(6*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(1815*15**m*(x + 2/3)*gamma(1 - m) - 121*15**m*gamma(1 - m)) + 495*45**m*m*(x + 2/3)*(x + 2/3)**m*gamma(-m)/(1815*15**m*(x + 2/3)*gamma(1 - m) - 121*15**m*gamma(1 - m)) - 2*45**m*m*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(1815*15**m*(x + 2/3)*gamma(1 - m) - 121*15**m*gamma(1 - m)) + 2*45**m*m*(x + 2/3)**m*lerchphi(7/(6*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(1815*15**m*(x + 2/3)*gamma(1 - m) - 121*15**m*gamma(1 - m))","C",0
3198,1,1590,0,4.043880," ","integrate((2+3*x)**m/(1-2*x)/(3+5*x)**3,x)","\frac{462150 \cdot 15^{2 m} 3^{m} m \left(x + \frac{2}{3}\right)^{2} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{1800 \cdot 15^{2 m} 3^{m} m \left(x + \frac{2}{3}\right)^{2} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{7}{6 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{61620 \cdot 15^{2 m} 3^{m} m \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{240 \cdot 15^{2 m} 3^{m} m \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{7}{6 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{2054 \cdot 15^{2 m} 3^{m} m \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{8 \cdot 15^{2 m} 3^{m} m \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{7}{6 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{245025 \cdot 675^{m} m^{3} \left(x + \frac{2}{3}\right)^{2} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{32670 \cdot 675^{m} m^{3} \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{1089 \cdot 675^{m} m^{3} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{215325 \cdot 675^{m} m^{2} \left(x + \frac{2}{3}\right)^{2} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{245025 \cdot 675^{m} m^{2} \left(x + \frac{2}{3}\right)^{2} \left(x + \frac{2}{3}\right)^{m} \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{28710 \cdot 675^{m} m^{2} \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{16335 \cdot 675^{m} m^{2} \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{957 \cdot 675^{m} m^{2} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{460350 \cdot 675^{m} m \left(x + \frac{2}{3}\right)^{2} \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{215325 \cdot 675^{m} m \left(x + \frac{2}{3}\right)^{2} \left(x + \frac{2}{3}\right)^{m} \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{61380 \cdot 675^{m} m \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} + \frac{30690 \cdot 675^{m} m \left(x + \frac{2}{3}\right) \left(x + \frac{2}{3}\right)^{m} \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)} - \frac{2046 \cdot 675^{m} m \left(x + \frac{2}{3}\right)^{m} \Phi\left(\frac{1}{15 \left(x + \frac{2}{3}\right)}, 1, m e^{i \pi}\right) \Gamma\left(- m\right)}{598950 \cdot 15^{2 m} \left(x + \frac{2}{3}\right)^{2} \Gamma\left(1 - m\right) - 79860 \cdot 15^{2 m} \left(x + \frac{2}{3}\right) \Gamma\left(1 - m\right) + 2662 \cdot 15^{2 m} \Gamma\left(1 - m\right)}"," ",0,"462150*15**(2*m)*3**m*m*(x + 2/3)**2*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 1800*15**(2*m)*3**m*m*(x + 2/3)**2*(x + 2/3)**m*lerchphi(7/(6*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 61620*15**(2*m)*3**m*m*(x + 2/3)*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 240*15**(2*m)*3**m*m*(x + 2/3)*(x + 2/3)**m*lerchphi(7/(6*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 2054*15**(2*m)*3**m*m*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 8*15**(2*m)*3**m*m*(x + 2/3)**m*lerchphi(7/(6*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 245025*675**m*m**3*(x + 2/3)**2*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 32670*675**m*m**3*(x + 2/3)*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 1089*675**m*m**3*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 215325*675**m*m**2*(x + 2/3)**2*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 245025*675**m*m**2*(x + 2/3)**2*(x + 2/3)**m*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 28710*675**m*m**2*(x + 2/3)*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 16335*675**m*m**2*(x + 2/3)*(x + 2/3)**m*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 957*675**m*m**2*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 460350*675**m*m*(x + 2/3)**2*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 215325*675**m*m*(x + 2/3)**2*(x + 2/3)**m*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 61380*675**m*m*(x + 2/3)*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) + 30690*675**m*m*(x + 2/3)*(x + 2/3)**m*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m)) - 2046*675**m*m*(x + 2/3)**m*lerchphi(1/(15*(x + 2/3)), 1, m*exp_polar(I*pi))*gamma(-m)/(598950*15**(2*m)*(x + 2/3)**2*gamma(1 - m) - 79860*15**(2*m)*(x + 2/3)*gamma(1 - m) + 2662*15**(2*m)*gamma(1 - m))","C",0
3199,0,0,0,0.000000," ","integrate((b*x+a)**m/(f*x+e)**2,x)","\int \frac{\left(a + b x\right)^{m}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*x)**m/(e + f*x)**2, x)","F",0
3200,-2,0,0,0.000000," ","integrate((b*x+a)**m/(d*x+c)/(f*x+e)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
3201,-1,0,0,0.000000," ","integrate((b*x+a)**m/(d*x+c)**2/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
