1,1,27,0,0.565471," ","integrate(x^2*(b*x^3+a)*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{9} \, B b x^{9} + \frac{1}{6} \, {\left(B a + A b\right)} x^{6} + \frac{1}{3} \, A a x^{3}"," ",0,"1/9*B*b*x^9 + 1/6*(B*a + A*b)*x^6 + 1/3*A*a*x^3","A",0
2,1,27,0,0.630042," ","integrate(x*(b*x^3+a)*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{8} \, B b x^{8} + \frac{1}{5} \, {\left(B a + A b\right)} x^{5} + \frac{1}{2} \, A a x^{2}"," ",0,"1/8*B*b*x^8 + 1/5*(B*a + A*b)*x^5 + 1/2*A*a*x^2","A",0
3,1,24,0,0.563299," ","integrate((b*x^3+a)*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{7} \, B b x^{7} + \frac{1}{4} \, {\left(B a + A b\right)} x^{4} + A a x"," ",0,"1/7*B*b*x^7 + 1/4*(B*a + A*b)*x^4 + A*a*x","A",0
4,1,28,0,0.570879," ","integrate((b*x^3+a)*(B*x^3+A)/x,x, algorithm=""maxima"")","\frac{1}{6} \, B b x^{6} + \frac{1}{3} \, {\left(B a + A b\right)} x^{3} + \frac{1}{3} \, A a \log\left(x^{3}\right)"," ",0,"1/6*B*b*x^6 + 1/3*(B*a + A*b)*x^3 + 1/3*A*a*log(x^3)","A",0
5,1,27,0,0.503575," ","integrate((b*x^3+a)*(B*x^3+A)/x^2,x, algorithm=""maxima"")","\frac{1}{5} \, B b x^{5} + \frac{1}{2} \, {\left(B a + A b\right)} x^{2} - \frac{A a}{x}"," ",0,"1/5*B*b*x^5 + 1/2*(B*a + A*b)*x^2 - A*a/x","A",0
6,1,24,0,0.478064," ","integrate((b*x^3+a)*(B*x^3+A)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, B b x^{4} + {\left(B a + A b\right)} x - \frac{A a}{2 \, x^{2}}"," ",0,"1/4*B*b*x^4 + (B*a + A*b)*x - 1/2*A*a/x^2","A",0
7,1,28,0,0.475328," ","integrate((b*x^3+a)*(B*x^3+A)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, B b x^{3} + \frac{1}{3} \, {\left(B a + A b\right)} \log\left(x^{3}\right) - \frac{A a}{3 \, x^{3}}"," ",0,"1/3*B*b*x^3 + 1/3*(B*a + A*b)*log(x^3) - 1/3*A*a/x^3","A",0
8,1,29,0,0.632052," ","integrate((b*x^3+a)*(B*x^3+A)/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, B b x^{2} - \frac{4 \, {\left(B a + A b\right)} x^{3} + A a}{4 \, x^{4}}"," ",0,"1/2*B*b*x^2 - 1/4*(4*(B*a + A*b)*x^3 + A*a)/x^4","A",0
9,1,27,0,0.488450," ","integrate((b*x^3+a)*(B*x^3+A)/x^6,x, algorithm=""maxima"")","B b x - \frac{5 \, {\left(B a + A b\right)} x^{3} + 2 \, A a}{10 \, x^{5}}"," ",0,"B*b*x - 1/10*(5*(B*a + A*b)*x^3 + 2*A*a)/x^5","A",0
10,1,30,0,0.508535," ","integrate((b*x^3+a)*(B*x^3+A)/x^7,x, algorithm=""maxima"")","\frac{1}{3} \, B b \log\left(x^{3}\right) - \frac{2 \, {\left(B a + A b\right)} x^{3} + A a}{6 \, x^{6}}"," ",0,"1/3*B*b*log(x^3) - 1/6*(2*(B*a + A*b)*x^3 + A*a)/x^6","A",0
11,1,51,0,0.491419," ","integrate(x^2*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{12} \, B b^{2} x^{12} + \frac{1}{9} \, {\left(2 \, B a b + A b^{2}\right)} x^{9} + \frac{1}{6} \, {\left(B a^{2} + 2 \, A a b\right)} x^{6} + \frac{1}{3} \, A a^{2} x^{3}"," ",0,"1/12*B*b^2*x^12 + 1/9*(2*B*a*b + A*b^2)*x^9 + 1/6*(B*a^2 + 2*A*a*b)*x^6 + 1/3*A*a^2*x^3","A",0
12,1,51,0,0.608378," ","integrate(x*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{11} \, B b^{2} x^{11} + \frac{1}{8} \, {\left(2 \, B a b + A b^{2}\right)} x^{8} + \frac{1}{5} \, {\left(B a^{2} + 2 \, A a b\right)} x^{5} + \frac{1}{2} \, A a^{2} x^{2}"," ",0,"1/11*B*b^2*x^11 + 1/8*(2*B*a*b + A*b^2)*x^8 + 1/5*(B*a^2 + 2*A*a*b)*x^5 + 1/2*A*a^2*x^2","A",0
13,1,48,0,0.662823," ","integrate((b*x^3+a)^2*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{10} \, B b^{2} x^{10} + \frac{1}{7} \, {\left(2 \, B a b + A b^{2}\right)} x^{7} + \frac{1}{4} \, {\left(B a^{2} + 2 \, A a b\right)} x^{4} + A a^{2} x"," ",0,"1/10*B*b^2*x^10 + 1/7*(2*B*a*b + A*b^2)*x^7 + 1/4*(B*a^2 + 2*A*a*b)*x^4 + A*a^2*x","A",0
14,1,52,0,0.537688," ","integrate((b*x^3+a)^2*(B*x^3+A)/x,x, algorithm=""maxima"")","\frac{1}{9} \, B b^{2} x^{9} + \frac{1}{6} \, {\left(2 \, B a b + A b^{2}\right)} x^{6} + \frac{1}{3} \, {\left(B a^{2} + 2 \, A a b\right)} x^{3} + \frac{1}{3} \, A a^{2} \log\left(x^{3}\right)"," ",0,"1/9*B*b^2*x^9 + 1/6*(2*B*a*b + A*b^2)*x^6 + 1/3*(B*a^2 + 2*A*a*b)*x^3 + 1/3*A*a^2*log(x^3)","A",0
15,1,51,0,0.590906," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^2,x, algorithm=""maxima"")","\frac{1}{8} \, B b^{2} x^{8} + \frac{1}{5} \, {\left(2 \, B a b + A b^{2}\right)} x^{5} + \frac{1}{2} \, {\left(B a^{2} + 2 \, A a b\right)} x^{2} - \frac{A a^{2}}{x}"," ",0,"1/8*B*b^2*x^8 + 1/5*(2*B*a*b + A*b^2)*x^5 + 1/2*(B*a^2 + 2*A*a*b)*x^2 - A*a^2/x","A",0
16,1,48,0,0.486657," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^3,x, algorithm=""maxima"")","\frac{1}{7} \, B b^{2} x^{7} + \frac{1}{4} \, {\left(2 \, B a b + A b^{2}\right)} x^{4} + {\left(B a^{2} + 2 \, A a b\right)} x - \frac{A a^{2}}{2 \, x^{2}}"," ",0,"1/7*B*b^2*x^7 + 1/4*(2*B*a*b + A*b^2)*x^4 + (B*a^2 + 2*A*a*b)*x - 1/2*A*a^2/x^2","A",0
17,1,52,0,0.482977," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, B b^{2} x^{6} + \frac{1}{3} \, {\left(2 \, B a b + A b^{2}\right)} x^{3} + \frac{1}{3} \, {\left(B a^{2} + 2 \, A a b\right)} \log\left(x^{3}\right) - \frac{A a^{2}}{3 \, x^{3}}"," ",0,"1/6*B*b^2*x^6 + 1/3*(2*B*a*b + A*b^2)*x^3 + 1/3*(B*a^2 + 2*A*a*b)*log(x^3) - 1/3*A*a^2/x^3","A",0
18,1,53,0,0.724235," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^5,x, algorithm=""maxima"")","\frac{1}{5} \, B b^{2} x^{5} + \frac{1}{2} \, {\left(2 \, B a b + A b^{2}\right)} x^{2} - \frac{4 \, {\left(B a^{2} + 2 \, A a b\right)} x^{3} + A a^{2}}{4 \, x^{4}}"," ",0,"1/5*B*b^2*x^5 + 1/2*(2*B*a*b + A*b^2)*x^2 - 1/4*(4*(B*a^2 + 2*A*a*b)*x^3 + A*a^2)/x^4","A",0
19,1,51,0,0.573990," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^6,x, algorithm=""maxima"")","\frac{1}{4} \, B b^{2} x^{4} + {\left(2 \, B a b + A b^{2}\right)} x - \frac{5 \, {\left(B a^{2} + 2 \, A a b\right)} x^{3} + 2 \, A a^{2}}{10 \, x^{5}}"," ",0,"1/4*B*b^2*x^4 + (2*B*a*b + A*b^2)*x - 1/10*(5*(B*a^2 + 2*A*a*b)*x^3 + 2*A*a^2)/x^5","A",0
20,1,54,0,0.666419," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^7,x, algorithm=""maxima"")","\frac{1}{3} \, B b^{2} x^{3} + \frac{1}{3} \, {\left(2 \, B a b + A b^{2}\right)} \log\left(x^{3}\right) - \frac{2 \, {\left(B a^{2} + 2 \, A a b\right)} x^{3} + A a^{2}}{6 \, x^{6}}"," ",0,"1/3*B*b^2*x^3 + 1/3*(2*B*a*b + A*b^2)*log(x^3) - 1/6*(2*(B*a^2 + 2*A*a*b)*x^3 + A*a^2)/x^6","A",0
21,1,54,0,0.566675," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^8,x, algorithm=""maxima"")","\frac{1}{2} \, B b^{2} x^{2} - \frac{28 \, {\left(2 \, B a b + A b^{2}\right)} x^{6} + 7 \, {\left(B a^{2} + 2 \, A a b\right)} x^{3} + 4 \, A a^{2}}{28 \, x^{7}}"," ",0,"1/2*B*b^2*x^2 - 1/28*(28*(2*B*a*b + A*b^2)*x^6 + 7*(B*a^2 + 2*A*a*b)*x^3 + 4*A*a^2)/x^7","A",0
22,1,51,0,0.493262," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^9,x, algorithm=""maxima"")","B b^{2} x - \frac{20 \, {\left(2 \, B a b + A b^{2}\right)} x^{6} + 8 \, {\left(B a^{2} + 2 \, A a b\right)} x^{3} + 5 \, A a^{2}}{40 \, x^{8}}"," ",0,"B*b^2*x - 1/40*(20*(2*B*a*b + A*b^2)*x^6 + 8*(B*a^2 + 2*A*a*b)*x^3 + 5*A*a^2)/x^8","A",0
23,1,119,0,0.460232," ","integrate(x^9*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{28} \, B b^{5} x^{28} + \frac{1}{25} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{25} + \frac{5}{22} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{22} + \frac{10}{19} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{19} + \frac{5}{16} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{16} + \frac{1}{10} \, A a^{5} x^{10} + \frac{1}{13} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{13}"," ",0,"1/28*B*b^5*x^28 + 1/25*(5*B*a*b^4 + A*b^5)*x^25 + 5/22*(2*B*a^2*b^3 + A*a*b^4)*x^22 + 10/19*(B*a^3*b^2 + A*a^2*b^3)*x^19 + 5/16*(B*a^4*b + 2*A*a^3*b^2)*x^16 + 1/10*A*a^5*x^10 + 1/13*(B*a^5 + 5*A*a^4*b)*x^13","A",0
24,1,119,0,0.473170," ","integrate(x^8*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{27} \, B b^{5} x^{27} + \frac{1}{24} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{24} + \frac{5}{21} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{21} + \frac{5}{9} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{18} + \frac{1}{3} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{15} + \frac{1}{9} \, A a^{5} x^{9} + \frac{1}{12} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{12}"," ",0,"1/27*B*b^5*x^27 + 1/24*(5*B*a*b^4 + A*b^5)*x^24 + 5/21*(2*B*a^2*b^3 + A*a*b^4)*x^21 + 5/9*(B*a^3*b^2 + A*a^2*b^3)*x^18 + 1/3*(B*a^4*b + 2*A*a^3*b^2)*x^15 + 1/9*A*a^5*x^9 + 1/12*(B*a^5 + 5*A*a^4*b)*x^12","A",0
25,1,119,0,0.474591," ","integrate(x^7*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{26} \, B b^{5} x^{26} + \frac{1}{23} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{23} + \frac{1}{4} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{20} + \frac{10}{17} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{17} + \frac{5}{14} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{14} + \frac{1}{8} \, A a^{5} x^{8} + \frac{1}{11} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{11}"," ",0,"1/26*B*b^5*x^26 + 1/23*(5*B*a*b^4 + A*b^5)*x^23 + 1/4*(2*B*a^2*b^3 + A*a*b^4)*x^20 + 10/17*(B*a^3*b^2 + A*a^2*b^3)*x^17 + 5/14*(B*a^4*b + 2*A*a^3*b^2)*x^14 + 1/8*A*a^5*x^8 + 1/11*(B*a^5 + 5*A*a^4*b)*x^11","A",0
26,1,119,0,0.587588," ","integrate(x^6*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{25} \, B b^{5} x^{25} + \frac{1}{22} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{22} + \frac{5}{19} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{19} + \frac{5}{8} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{16} + \frac{5}{13} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{13} + \frac{1}{7} \, A a^{5} x^{7} + \frac{1}{10} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{10}"," ",0,"1/25*B*b^5*x^25 + 1/22*(5*B*a*b^4 + A*b^5)*x^22 + 5/19*(2*B*a^2*b^3 + A*a*b^4)*x^19 + 5/8*(B*a^3*b^2 + A*a^2*b^3)*x^16 + 5/13*(B*a^4*b + 2*A*a^3*b^2)*x^13 + 1/7*A*a^5*x^7 + 1/10*(B*a^5 + 5*A*a^4*b)*x^10","A",0
27,1,119,0,0.446682," ","integrate(x^5*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{24} \, B b^{5} x^{24} + \frac{1}{21} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{21} + \frac{5}{18} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{18} + \frac{2}{3} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{15} + \frac{5}{12} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{12} + \frac{1}{6} \, A a^{5} x^{6} + \frac{1}{9} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{9}"," ",0,"1/24*B*b^5*x^24 + 1/21*(5*B*a*b^4 + A*b^5)*x^21 + 5/18*(2*B*a^2*b^3 + A*a*b^4)*x^18 + 2/3*(B*a^3*b^2 + A*a^2*b^3)*x^15 + 5/12*(B*a^4*b + 2*A*a^3*b^2)*x^12 + 1/6*A*a^5*x^6 + 1/9*(B*a^5 + 5*A*a^4*b)*x^9","A",0
28,1,119,0,0.643954," ","integrate(x^4*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{23} \, B b^{5} x^{23} + \frac{1}{20} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{20} + \frac{5}{17} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{17} + \frac{5}{7} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{14} + \frac{5}{11} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{11} + \frac{1}{5} \, A a^{5} x^{5} + \frac{1}{8} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{8}"," ",0,"1/23*B*b^5*x^23 + 1/20*(5*B*a*b^4 + A*b^5)*x^20 + 5/17*(2*B*a^2*b^3 + A*a*b^4)*x^17 + 5/7*(B*a^3*b^2 + A*a^2*b^3)*x^14 + 5/11*(B*a^4*b + 2*A*a^3*b^2)*x^11 + 1/5*A*a^5*x^5 + 1/8*(B*a^5 + 5*A*a^4*b)*x^8","A",0
29,1,119,0,0.443394," ","integrate(x^3*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{22} \, B b^{5} x^{22} + \frac{1}{19} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{19} + \frac{5}{16} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{16} + \frac{10}{13} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{13} + \frac{1}{2} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{10} + \frac{1}{4} \, A a^{5} x^{4} + \frac{1}{7} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{7}"," ",0,"1/22*B*b^5*x^22 + 1/19*(5*B*a*b^4 + A*b^5)*x^19 + 5/16*(2*B*a^2*b^3 + A*a*b^4)*x^16 + 10/13*(B*a^3*b^2 + A*a^2*b^3)*x^13 + 1/2*(B*a^4*b + 2*A*a^3*b^2)*x^10 + 1/4*A*a^5*x^4 + 1/7*(B*a^5 + 5*A*a^4*b)*x^7","A",0
30,1,119,0,0.443066," ","integrate(x^2*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{21} \, B b^{5} x^{21} + \frac{1}{18} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{18} + \frac{1}{3} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{15} + \frac{5}{6} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{12} + \frac{5}{9} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{9} + \frac{1}{3} \, A a^{5} x^{3} + \frac{1}{6} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{6}"," ",0,"1/21*B*b^5*x^21 + 1/18*(5*B*a*b^4 + A*b^5)*x^18 + 1/3*(2*B*a^2*b^3 + A*a*b^4)*x^15 + 5/6*(B*a^3*b^2 + A*a^2*b^3)*x^12 + 5/9*(B*a^4*b + 2*A*a^3*b^2)*x^9 + 1/3*A*a^5*x^3 + 1/6*(B*a^5 + 5*A*a^4*b)*x^6","B",0
31,1,119,0,0.645786," ","integrate(x*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{20} \, B b^{5} x^{20} + \frac{1}{17} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{17} + \frac{5}{14} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{14} + \frac{10}{11} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{11} + \frac{5}{8} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{8} + \frac{1}{2} \, A a^{5} x^{2} + \frac{1}{5} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{5}"," ",0,"1/20*B*b^5*x^20 + 1/17*(5*B*a*b^4 + A*b^5)*x^17 + 5/14*(2*B*a^2*b^3 + A*a*b^4)*x^14 + 10/11*(B*a^3*b^2 + A*a^2*b^3)*x^11 + 5/8*(B*a^4*b + 2*A*a^3*b^2)*x^8 + 1/2*A*a^5*x^2 + 1/5*(B*a^5 + 5*A*a^4*b)*x^5","A",0
32,1,115,0,0.599273," ","integrate((b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{1}{19} \, B b^{5} x^{19} + \frac{1}{16} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{16} + \frac{5}{13} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{13} + {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{10} + \frac{5}{7} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{7} + A a^{5} x + \frac{1}{4} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{4}"," ",0,"1/19*B*b^5*x^19 + 1/16*(5*B*a*b^4 + A*b^5)*x^16 + 5/13*(2*B*a^2*b^3 + A*a*b^4)*x^13 + (B*a^3*b^2 + A*a^2*b^3)*x^10 + 5/7*(B*a^4*b + 2*A*a^3*b^2)*x^7 + A*a^5*x + 1/4*(B*a^5 + 5*A*a^4*b)*x^4","A",0
33,1,120,0,0.449064," ","integrate((b*x^3+a)^5*(B*x^3+A)/x,x, algorithm=""maxima"")","\frac{1}{18} \, B b^{5} x^{18} + \frac{1}{15} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + \frac{5}{12} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + \frac{10}{9} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + \frac{5}{6} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + \frac{1}{3} \, A a^{5} \log\left(x^{3}\right) + \frac{1}{3} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}"," ",0,"1/18*B*b^5*x^18 + 1/15*(5*B*a*b^4 + A*b^5)*x^15 + 5/12*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 10/9*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 5/6*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 1/3*A*a^5*log(x^3) + 1/3*(B*a^5 + 5*A*a^4*b)*x^3","A",0
34,1,118,0,0.539419," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^2,x, algorithm=""maxima"")","\frac{1}{17} \, B b^{5} x^{17} + \frac{1}{14} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{14} + \frac{5}{11} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{11} + \frac{5}{4} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{8} + {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{5} - \frac{A a^{5}}{x} + \frac{1}{2} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{2}"," ",0,"1/17*B*b^5*x^17 + 1/14*(5*B*a*b^4 + A*b^5)*x^14 + 5/11*(2*B*a^2*b^3 + A*a*b^4)*x^11 + 5/4*(B*a^3*b^2 + A*a^2*b^3)*x^8 + (B*a^4*b + 2*A*a^3*b^2)*x^5 - A*a^5/x + 1/2*(B*a^5 + 5*A*a^4*b)*x^2","A",0
35,1,116,0,0.606890," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^3,x, algorithm=""maxima"")","\frac{1}{16} \, B b^{5} x^{16} + \frac{1}{13} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{13} + \frac{1}{2} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{10} + \frac{10}{7} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{7} + \frac{5}{4} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{4} - \frac{A a^{5}}{2 \, x^{2}} + {\left(B a^{5} + 5 \, A a^{4} b\right)} x"," ",0,"1/16*B*b^5*x^16 + 1/13*(5*B*a*b^4 + A*b^5)*x^13 + 1/2*(2*B*a^2*b^3 + A*a*b^4)*x^10 + 10/7*(B*a^3*b^2 + A*a^2*b^3)*x^7 + 5/4*(B*a^4*b + 2*A*a^3*b^2)*x^4 - 1/2*A*a^5/x^2 + (B*a^5 + 5*A*a^4*b)*x","A",0
36,1,120,0,0.552830," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^4,x, algorithm=""maxima"")","\frac{1}{15} \, B b^{5} x^{15} + \frac{1}{12} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{12} + \frac{5}{9} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{9} + \frac{5}{3} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{6} + \frac{5}{3} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{3} - \frac{A a^{5}}{3 \, x^{3}} + \frac{1}{3} \, {\left(B a^{5} + 5 \, A a^{4} b\right)} \log\left(x^{3}\right)"," ",0,"1/15*B*b^5*x^15 + 1/12*(5*B*a*b^4 + A*b^5)*x^12 + 5/9*(2*B*a^2*b^3 + A*a*b^4)*x^9 + 5/3*(B*a^3*b^2 + A*a^2*b^3)*x^6 + 5/3*(B*a^4*b + 2*A*a^3*b^2)*x^3 - 1/3*A*a^5/x^3 + 1/3*(B*a^5 + 5*A*a^4*b)*log(x^3)","A",0
37,1,121,0,0.488816," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^5,x, algorithm=""maxima"")","\frac{1}{14} \, B b^{5} x^{14} + \frac{1}{11} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{11} + \frac{5}{8} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{8} + 2 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{5} + \frac{5}{2} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{2} - \frac{A a^{5} + 4 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{4 \, x^{4}}"," ",0,"1/14*B*b^5*x^14 + 1/11*(5*B*a*b^4 + A*b^5)*x^11 + 5/8*(2*B*a^2*b^3 + A*a*b^4)*x^8 + 2*(B*a^3*b^2 + A*a^2*b^3)*x^5 + 5/2*(B*a^4*b + 2*A*a^3*b^2)*x^2 - 1/4*(A*a^5 + 4*(B*a^5 + 5*A*a^4*b)*x^3)/x^4","A",0
38,1,120,0,0.733177," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^6,x, algorithm=""maxima"")","\frac{1}{13} \, B b^{5} x^{13} + \frac{1}{10} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{10} + \frac{5}{7} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{7} + \frac{5}{2} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{4} + 5 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x - \frac{2 \, A a^{5} + 5 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{10 \, x^{5}}"," ",0,"1/13*B*b^5*x^13 + 1/10*(5*B*a*b^4 + A*b^5)*x^10 + 5/7*(2*B*a^2*b^3 + A*a*b^4)*x^7 + 5/2*(B*a^3*b^2 + A*a^2*b^3)*x^4 + 5*(B*a^4*b + 2*A*a^3*b^2)*x - 1/10*(2*A*a^5 + 5*(B*a^5 + 5*A*a^4*b)*x^3)/x^5","A",0
39,1,122,0,0.648521," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^7,x, algorithm=""maxima"")","\frac{1}{12} \, B b^{5} x^{12} + \frac{1}{9} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{9} + \frac{5}{6} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{6} + \frac{10}{3} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{3} + \frac{5}{3} \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} \log\left(x^{3}\right) - \frac{A a^{5} + 2 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{6 \, x^{6}}"," ",0,"1/12*B*b^5*x^12 + 1/9*(5*B*a*b^4 + A*b^5)*x^9 + 5/6*(2*B*a^2*b^3 + A*a*b^4)*x^6 + 10/3*(B*a^3*b^2 + A*a^2*b^3)*x^3 + 5/3*(B*a^4*b + 2*A*a^3*b^2)*log(x^3) - 1/6*(A*a^5 + 2*(B*a^5 + 5*A*a^4*b)*x^3)/x^6","A",0
40,1,121,0,0.512809," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^8,x, algorithm=""maxima"")","\frac{1}{11} \, B b^{5} x^{11} + \frac{1}{8} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{8} + {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{5} + 5 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{2} - \frac{140 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 4 \, A a^{5} + 7 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{28 \, x^{7}}"," ",0,"1/11*B*b^5*x^11 + 1/8*(5*B*a*b^4 + A*b^5)*x^8 + (2*B*a^2*b^3 + A*a*b^4)*x^5 + 5*(B*a^3*b^2 + A*a^2*b^3)*x^2 - 1/28*(140*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 4*A*a^5 + 7*(B*a^5 + 5*A*a^4*b)*x^3)/x^7","A",0
41,1,120,0,0.592683," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^9,x, algorithm=""maxima"")","\frac{1}{10} \, B b^{5} x^{10} + \frac{1}{7} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{7} + \frac{5}{4} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{4} + 10 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x - \frac{100 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 5 \, A a^{5} + 8 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{40 \, x^{8}}"," ",0,"1/10*B*b^5*x^10 + 1/7*(5*B*a*b^4 + A*b^5)*x^7 + 5/4*(2*B*a^2*b^3 + A*a*b^4)*x^4 + 10*(B*a^3*b^2 + A*a^2*b^3)*x - 1/40*(100*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 5*A*a^5 + 8*(B*a^5 + 5*A*a^4*b)*x^3)/x^8","A",0
42,1,123,0,0.469395," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^10,x, algorithm=""maxima"")","\frac{1}{9} \, B b^{5} x^{9} + \frac{1}{6} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{6} + \frac{5}{3} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{3} + \frac{10}{3} \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} \log\left(x^{3}\right) - \frac{30 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 2 \, A a^{5} + 3 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{18 \, x^{9}}"," ",0,"1/9*B*b^5*x^9 + 1/6*(5*B*a*b^4 + A*b^5)*x^6 + 5/3*(2*B*a^2*b^3 + A*a*b^4)*x^3 + 10/3*(B*a^3*b^2 + A*a^2*b^3)*log(x^3) - 1/18*(30*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 2*A*a^5 + 3*(B*a^5 + 5*A*a^4*b)*x^3)/x^9","A",0
43,1,122,0,0.465243," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^11,x, algorithm=""maxima"")","\frac{1}{8} \, B b^{5} x^{8} + \frac{1}{5} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{5} + \frac{5}{2} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{2} - \frac{1400 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 175 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 14 \, A a^{5} + 20 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{140 \, x^{10}}"," ",0,"1/8*B*b^5*x^8 + 1/5*(5*B*a*b^4 + A*b^5)*x^5 + 5/2*(2*B*a^2*b^3 + A*a*b^4)*x^2 - 1/140*(1400*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 175*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 14*A*a^5 + 20*(B*a^5 + 5*A*a^4*b)*x^3)/x^10","A",0
44,1,120,0,0.533735," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^12,x, algorithm=""maxima"")","\frac{1}{7} \, B b^{5} x^{7} + \frac{1}{4} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{4} + 5 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x - \frac{440 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 88 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 8 \, A a^{5} + 11 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{88 \, x^{11}}"," ",0,"1/7*B*b^5*x^7 + 1/4*(5*B*a*b^4 + A*b^5)*x^4 + 5*(2*B*a^2*b^3 + A*a*b^4)*x - 1/88*(440*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 88*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 8*A*a^5 + 11*(B*a^5 + 5*A*a^4*b)*x^3)/x^11","A",0
45,1,123,0,0.633669," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^13,x, algorithm=""maxima"")","\frac{1}{6} \, B b^{5} x^{6} + \frac{1}{3} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{3} + \frac{5}{3} \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} \log\left(x^{3}\right) - \frac{120 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 30 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 3 \, A a^{5} + 4 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{36 \, x^{12}}"," ",0,"1/6*B*b^5*x^6 + 1/3*(5*B*a*b^4 + A*b^5)*x^3 + 5/3*(2*B*a^2*b^3 + A*a*b^4)*log(x^3) - 1/36*(120*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 30*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 3*A*a^5 + 4*(B*a^5 + 5*A*a^4*b)*x^3)/x^12","A",0
46,1,122,0,0.558205," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^14,x, algorithm=""maxima"")","\frac{1}{5} \, B b^{5} x^{5} + \frac{1}{2} \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{2} - \frac{4550 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 2275 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 650 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 70 \, A a^{5} + 91 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{910 \, x^{13}}"," ",0,"1/5*B*b^5*x^5 + 1/2*(5*B*a*b^4 + A*b^5)*x^2 - 1/910*(4550*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 2275*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 650*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 70*A*a^5 + 91*(B*a^5 + 5*A*a^4*b)*x^3)/x^13","A",0
47,1,119,0,0.614021," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^15,x, algorithm=""maxima"")","\frac{1}{4} \, B b^{5} x^{4} + {\left(5 \, B a b^{4} + A b^{5}\right)} x - \frac{1540 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 1232 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 385 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 44 \, A a^{5} + 56 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{616 \, x^{14}}"," ",0,"1/4*B*b^5*x^4 + (5*B*a*b^4 + A*b^5)*x - 1/616*(1540*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 1232*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 385*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 44*A*a^5 + 56*(B*a^5 + 5*A*a^4*b)*x^3)/x^14","A",0
48,1,123,0,0.586494," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^16,x, algorithm=""maxima"")","\frac{1}{3} \, B b^{5} x^{3} + \frac{1}{3} \, {\left(5 \, B a b^{4} + A b^{5}\right)} \log\left(x^{3}\right) - \frac{300 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 300 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 100 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 12 \, A a^{5} + 15 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{180 \, x^{15}}"," ",0,"1/3*B*b^5*x^3 + 1/3*(5*B*a*b^4 + A*b^5)*log(x^3) - 1/180*(300*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 300*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 100*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 12*A*a^5 + 15*(B*a^5 + 5*A*a^4*b)*x^3)/x^15","A",0
49,1,122,0,0.498088," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^17,x, algorithm=""maxima"")","\frac{1}{2} \, B b^{5} x^{2} - \frac{1456 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + 1820 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 2080 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 728 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 91 \, A a^{5} + 112 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{1456 \, x^{16}}"," ",0,"1/2*B*b^5*x^2 - 1/1456*(1456*(5*B*a*b^4 + A*b^5)*x^15 + 1820*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 2080*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 728*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 91*A*a^5 + 112*(B*a^5 + 5*A*a^4*b)*x^3)/x^16","A",0
50,1,119,0,0.517704," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^18,x, algorithm=""maxima"")","B b^{5} x - \frac{2618 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + 5236 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 6545 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 2380 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 308 \, A a^{5} + 374 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{5236 \, x^{17}}"," ",0,"B*b^5*x - 1/5236*(2618*(5*B*a*b^4 + A*b^5)*x^15 + 5236*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 6545*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 2380*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 308*A*a^5 + 374*(B*a^5 + 5*A*a^4*b)*x^3)/x^17","A",0
51,1,123,0,0.508202," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^19,x, algorithm=""maxima"")","\frac{1}{3} \, B b^{5} \log\left(x^{3}\right) - \frac{60 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + 150 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 200 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 75 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 10 \, A a^{5} + 12 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{180 \, x^{18}}"," ",0,"1/3*B*b^5*log(x^3) - 1/180*(60*(5*B*a*b^4 + A*b^5)*x^15 + 150*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 200*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 75*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 10*A*a^5 + 12*(B*a^5 + 5*A*a^4*b)*x^3)/x^18","A",0
52,1,121,0,0.460359," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^20,x, algorithm=""maxima"")","-\frac{27664 \, B b^{5} x^{18} + 6916 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + 19760 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 27664 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 10640 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 1456 \, A a^{5} + 1729 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{27664 \, x^{19}}"," ",0,"-1/27664*(27664*B*b^5*x^18 + 6916*(5*B*a*b^4 + A*b^5)*x^15 + 19760*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 27664*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 10640*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 1456*A*a^5 + 1729*(B*a^5 + 5*A*a^4*b)*x^3)/x^19","A",0
53,1,121,0,0.551682," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^21,x, algorithm=""maxima"")","-\frac{26180 \, B b^{5} x^{18} + 10472 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + 32725 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 47600 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 18700 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 2618 \, A a^{5} + 3080 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{52360 \, x^{20}}"," ",0,"-1/52360*(26180*B*b^5*x^18 + 10472*(5*B*a*b^4 + A*b^5)*x^15 + 32725*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 47600*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 18700*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 2618*A*a^5 + 3080*(B*a^5 + 5*A*a^4*b)*x^3)/x^20","A",0
54,1,121,0,0.611702," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^22,x, algorithm=""maxima"")","-\frac{42 \, B b^{5} x^{18} + 21 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + 70 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 105 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 42 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 6 \, A a^{5} + 7 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{126 \, x^{21}}"," ",0,"-1/126*(42*B*b^5*x^18 + 21*(5*B*a*b^4 + A*b^5)*x^15 + 70*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 105*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 42*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 6*A*a^5 + 7*(B*a^5 + 5*A*a^4*b)*x^3)/x^21","B",0
55,1,121,0,0.697419," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^23,x, algorithm=""maxima"")","-\frac{76076 \, B b^{5} x^{18} + 43472 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{15} + 152152 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{12} + 234080 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{9} + 95095 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{6} + 13832 \, A a^{5} + 16016 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x^{3}}{304304 \, x^{22}}"," ",0,"-1/304304*(76076*B*b^5*x^18 + 43472*(5*B*a*b^4 + A*b^5)*x^15 + 152152*(2*B*a^2*b^3 + A*a*b^4)*x^12 + 234080*(B*a^3*b^2 + A*a^2*b^3)*x^9 + 95095*(B*a^4*b + 2*A*a^3*b^2)*x^6 + 13832*A*a^5 + 16016*(B*a^5 + 5*A*a^4*b)*x^3)/x^22","A",0
56,1,182,0,1.431341," ","integrate(x^6*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{4 \, B b^{2} x^{7} - 7 \, {\left(B a b - A b^{2}\right)} x^{4} + 28 \, {\left(B a^{2} - A a b\right)} x}{28 \, b^{3}} - \frac{\sqrt{3} {\left(B a^{3} - A a^{2} b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(B a^{3} - A a^{2} b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(B a^{3} - A a^{2} b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/28*(4*B*b^2*x^7 - 7*(B*a*b - A*b^2)*x^4 + 28*(B*a^2 - A*a*b)*x)/b^3 - 1/3*sqrt(3)*(B*a^3 - A*a^2*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^4*(a/b)^(2/3)) + 1/6*(B*a^3 - A*a^2*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^4*(a/b)^(2/3)) - 1/3*(B*a^3 - A*a^2*b)*log(x + (a/b)^(1/3))/(b^4*(a/b)^(2/3))","A",0
57,1,50,0,0.498573," ","integrate(x^5*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{B b x^{6} - 2 \, {\left(B a - A b\right)} x^{3}}{6 \, b^{2}} + \frac{{\left(B a^{2} - A a b\right)} \log\left(b x^{3} + a\right)}{3 \, b^{3}}"," ",0,"1/6*(B*b*x^6 - 2*(B*a - A*b)*x^3)/b^2 + 1/3*(B*a^2 - A*a*b)*log(b*x^3 + a)/b^3","A",0
58,1,157,0,1.096262," ","integrate(x^4*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} {\left(B a^{2} - A a b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{2 \, B b x^{5} - 5 \, {\left(B a - A b\right)} x^{2}}{10 \, b^{2}} + \frac{{\left(B a^{2} - A a b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(B a^{2} - A a b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/3*sqrt(3)*(B*a^2 - A*a*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(1/3)) + 1/10*(2*B*b*x^5 - 5*(B*a - A*b)*x^2)/b^2 + 1/6*(B*a^2 - A*a*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(1/3)) - 1/3*(B*a^2 - A*a*b)*log(x + (a/b)^(1/3))/(b^3*(a/b)^(1/3))","A",0
59,1,154,0,1.084151," ","integrate(x^3*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{B b x^{4} - 4 \, {\left(B a - A b\right)} x}{4 \, b^{2}} + \frac{\sqrt{3} {\left(B a^{2} - A a b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(B a^{2} - A a b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(B a^{2} - A a b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/4*(B*b*x^4 - 4*(B*a - A*b)*x)/b^2 + 1/3*sqrt(3)*(B*a^2 - A*a*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(2/3)) - 1/6*(B*a^2 - A*a*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(2/3)) + 1/3*(B*a^2 - A*a*b)*log(x + (a/b)^(1/3))/(b^3*(a/b)^(2/3))","A",0
60,1,31,0,0.540037," ","integrate(x^2*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{B x^{3}}{3 \, b} - \frac{{\left(B a - A b\right)} \log\left(b x^{3} + a\right)}{3 \, b^{2}}"," ",0,"1/3*B*x^3/b - 1/3*(B*a - A*b)*log(b*x^3 + a)/b^2","A",0
61,1,131,0,1.144458," ","integrate(x*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{B x^{2}}{2 \, b} - \frac{\sqrt{3} {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/2*B*x^2/b - 1/3*sqrt(3)*(B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(1/3)) - 1/6*(B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(1/3)) + 1/3*(B*a - A*b)*log(x + (a/b)^(1/3))/(b^2*(a/b)^(1/3))","A",0
62,1,128,0,1.157261," ","integrate((B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{B x}{b} - \frac{\sqrt{3} {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"B*x/b - 1/3*sqrt(3)*(B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) + 1/6*(B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) - 1/3*(B*a - A*b)*log(x + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
63,1,35,0,0.589519," ","integrate((B*x^3+A)/x/(b*x^3+a),x, algorithm=""maxima"")","\frac{A \log\left(x^{3}\right)}{3 \, a} + \frac{{\left(B a - A b\right)} \log\left(b x^{3} + a\right)}{3 \, a b}"," ",0,"1/3*A*log(x^3)/a + 1/3*(B*a - A*b)*log(b*x^3 + a)/(a*b)","A",0
64,1,140,0,1.156588," ","integrate((B*x^3+A)/x^2/(b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{A}{a x}"," ",0,"1/3*sqrt(3)*(B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(1/3)) + 1/6*(B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(1/3)) - 1/3*(B*a - A*b)*log(x + (a/b)^(1/3))/(a*b*(a/b)^(1/3)) - A/(a*x)","A",0
65,1,140,0,1.222687," ","integrate((B*x^3+A)/x^3/(b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{A}{2 \, a x^{2}}"," ",0,"1/3*sqrt(3)*(B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(2/3)) - 1/6*(B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(2/3)) + 1/3*(B*a - A*b)*log(x + (a/b)^(1/3))/(a*b*(a/b)^(2/3)) - 1/2*A/(a*x^2)","A",0
66,1,48,0,0.482760," ","integrate((B*x^3+A)/x^4/(b*x^3+a),x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} \log\left(b x^{3} + a\right)}{3 \, a^{2}} + \frac{{\left(B a - A b\right)} \log\left(x^{3}\right)}{3 \, a^{2}} - \frac{A}{3 \, a x^{3}}"," ",0,"-1/3*(B*a - A*b)*log(b*x^3 + a)/a^2 + 1/3*(B*a - A*b)*log(x^3)/a^2 - 1/3*A/(a*x^3)","A",0
67,1,147,0,1.137221," ","integrate((B*x^3+A)/x^5/(b*x^3+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{4 \, {\left(B a - A b\right)} x^{3} + A a}{4 \, a^{2} x^{4}}"," ",0,"-1/3*sqrt(3)*(B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*(a/b)^(1/3)) - 1/6*(B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*(a/b)^(1/3)) + 1/3*(B*a - A*b)*log(x + (a/b)^(1/3))/(a^2*(a/b)^(1/3)) - 1/4*(4*(B*a - A*b)*x^3 + A*a)/(a^2*x^4)","A",0
68,1,148,0,1.280984," ","integrate((B*x^3+A)/x^6/(b*x^3+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{5 \, {\left(B a - A b\right)} x^{3} + 2 \, A a}{10 \, a^{2} x^{5}}"," ",0,"-1/3*sqrt(3)*(B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*(a/b)^(2/3)) + 1/6*(B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*(a/b)^(2/3)) - 1/3*(B*a - A*b)*log(x + (a/b)^(1/3))/(a^2*(a/b)^(2/3)) - 1/10*(5*(B*a - A*b)*x^3 + 2*A*a)/(a^2*x^5)","A",0
69,1,70,0,0.491902," ","integrate((B*x^3+A)/x^7/(b*x^3+a),x, algorithm=""maxima"")","\frac{{\left(B a b - A b^{2}\right)} \log\left(b x^{3} + a\right)}{3 \, a^{3}} - \frac{{\left(B a b - A b^{2}\right)} \log\left(x^{3}\right)}{3 \, a^{3}} - \frac{2 \, {\left(B a - A b\right)} x^{3} + A a}{6 \, a^{2} x^{6}}"," ",0,"1/3*(B*a*b - A*b^2)*log(b*x^3 + a)/a^3 - 1/3*(B*a*b - A*b^2)*log(x^3)/a^3 - 1/6*(2*(B*a - A*b)*x^3 + A*a)/(a^2*x^6)","A",0
70,1,178,0,1.288587," ","integrate((B*x^3+A)/x^8/(b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} {\left(B a b - A b^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(B a b - A b^{2}\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(B a b - A b^{2}\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{28 \, {\left(B a b - A b^{2}\right)} x^{6} - 7 \, {\left(B a^{2} - A a b\right)} x^{3} - 4 \, A a^{2}}{28 \, a^{3} x^{7}}"," ",0,"1/3*sqrt(3)*(B*a*b - A*b^2)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*(a/b)^(1/3)) + 1/6*(B*a*b - A*b^2)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*(a/b)^(1/3)) - 1/3*(B*a*b - A*b^2)*log(x + (a/b)^(1/3))/(a^3*(a/b)^(1/3)) + 1/28*(28*(B*a*b - A*b^2)*x^6 - 7*(B*a^2 - A*a*b)*x^3 - 4*A*a^2)/(a^3*x^7)","A",0
71,1,218,0,1.232996," ","integrate(x^9*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a^{3} - A a^{2} b\right)} x}{3 \, {\left(b^{5} x^{3} + a b^{4}\right)}} + \frac{4 \, B b^{2} x^{7} - 7 \, {\left(2 \, B a b - A b^{2}\right)} x^{4} + 28 \, {\left(3 \, B a^{2} - 2 \, A a b\right)} x}{28 \, b^{4}} - \frac{\sqrt{3} {\left(10 \, B a^{3} - 7 \, A a^{2} b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(10 \, B a^{3} - 7 \, A a^{2} b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, b^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(10 \, B a^{3} - 7 \, A a^{2} b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/3*(B*a^3 - A*a^2*b)*x/(b^5*x^3 + a*b^4) + 1/28*(4*B*b^2*x^7 - 7*(2*B*a*b - A*b^2)*x^4 + 28*(3*B*a^2 - 2*A*a*b)*x)/b^4 - 1/9*sqrt(3)*(10*B*a^3 - 7*A*a^2*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^5*(a/b)^(2/3)) + 1/18*(10*B*a^3 - 7*A*a^2*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^5*(a/b)^(2/3)) - 1/9*(10*B*a^3 - 7*A*a^2*b)*log(x + (a/b)^(1/3))/(b^5*(a/b)^(2/3))","A",0
72,1,82,0,0.491818," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{B a^{3} - A a^{2} b}{3 \, {\left(b^{5} x^{3} + a b^{4}\right)}} + \frac{B b x^{6} - 2 \, {\left(2 \, B a - A b\right)} x^{3}}{6 \, b^{3}} + \frac{{\left(3 \, B a^{2} - 2 \, A a b\right)} \log\left(b x^{3} + a\right)}{3 \, b^{4}}"," ",0,"1/3*(B*a^3 - A*a^2*b)/(b^5*x^3 + a*b^4) + 1/6*(B*b*x^6 - 2*(2*B*a - A*b)*x^3)/b^3 + 1/3*(3*B*a^2 - 2*A*a*b)*log(b*x^3 + a)/b^4","A",0
73,1,192,0,1.102437," ","integrate(x^7*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{{\left(B a^{2} - A a b\right)} x^{2}}{3 \, {\left(b^{4} x^{3} + a b^{3}\right)}} + \frac{\sqrt{3} {\left(8 \, B a^{2} - 5 \, A a b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{2 \, B b x^{5} - 5 \, {\left(2 \, B a - A b\right)} x^{2}}{10 \, b^{3}} + \frac{{\left(8 \, B a^{2} - 5 \, A a b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, b^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(8 \, B a^{2} - 5 \, A a b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/3*(B*a^2 - A*a*b)*x^2/(b^4*x^3 + a*b^3) + 1/9*sqrt(3)*(8*B*a^2 - 5*A*a*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^4*(a/b)^(1/3)) + 1/10*(2*B*b*x^5 - 5*(2*B*a - A*b)*x^2)/b^3 + 1/18*(8*B*a^2 - 5*A*a*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^4*(a/b)^(1/3)) - 1/9*(8*B*a^2 - 5*A*a*b)*log(x + (a/b)^(1/3))/(b^4*(a/b)^(1/3))","A",0
74,1,187,0,1.012443," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{{\left(B a^{2} - A a b\right)} x}{3 \, {\left(b^{4} x^{3} + a b^{3}\right)}} + \frac{B b x^{4} - 4 \, {\left(2 \, B a - A b\right)} x}{4 \, b^{3}} + \frac{\sqrt{3} {\left(7 \, B a^{2} - 4 \, A a b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(7 \, B a^{2} - 4 \, A a b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(7 \, B a^{2} - 4 \, A a b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/3*(B*a^2 - A*a*b)*x/(b^4*x^3 + a*b^3) + 1/4*(B*b*x^4 - 4*(2*B*a - A*b)*x)/b^3 + 1/9*sqrt(3)*(7*B*a^2 - 4*A*a*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^4*(a/b)^(2/3)) - 1/18*(7*B*a^2 - 4*A*a*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^4*(a/b)^(2/3)) + 1/9*(7*B*a^2 - 4*A*a*b)*log(x + (a/b)^(1/3))/(b^4*(a/b)^(2/3))","A",0
75,1,60,0,0.457957," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{B x^{3}}{3 \, b^{2}} - \frac{B a^{2} - A a b}{3 \, {\left(b^{4} x^{3} + a b^{3}\right)}} - \frac{{\left(2 \, B a - A b\right)} \log\left(b x^{3} + a\right)}{3 \, b^{3}}"," ",0,"1/3*B*x^3/b^2 - 1/3*(B*a^2 - A*a*b)/(b^4*x^3 + a*b^3) - 1/3*(2*B*a - A*b)*log(b*x^3 + a)/b^3","A",0
76,1,162,0,1.171434," ","integrate(x^4*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - A b\right)} x^{2}}{3 \, {\left(b^{3} x^{3} + a b^{2}\right)}} + \frac{B x^{2}}{2 \, b^{2}} - \frac{\sqrt{3} {\left(5 \, B a - 2 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(5 \, B a - 2 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(5 \, B a - 2 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/3*(B*a - A*b)*x^2/(b^3*x^3 + a*b^2) + 1/2*B*x^2/b^2 - 1/9*sqrt(3)*(5*B*a - 2*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(1/3)) - 1/18*(5*B*a - 2*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(1/3)) + 1/9*(5*B*a - 2*A*b)*log(x + (a/b)^(1/3))/(b^3*(a/b)^(1/3))","A",0
77,1,157,0,1.215803," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - A b\right)} x}{3 \, {\left(b^{3} x^{3} + a b^{2}\right)}} + \frac{B x}{b^{2}} - \frac{\sqrt{3} {\left(4 \, B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(4 \, B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(4 \, B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/3*(B*a - A*b)*x/(b^3*x^3 + a*b^2) + B*x/b^2 - 1/9*sqrt(3)*(4*B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(2/3)) + 1/18*(4*B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(2/3)) - 1/9*(4*B*a - A*b)*log(x + (a/b)^(1/3))/(b^3*(a/b)^(2/3))","A",0
78,1,40,0,0.581541," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{B a - A b}{3 \, {\left(b^{3} x^{3} + a b^{2}\right)}} + \frac{B \log\left(b x^{3} + a\right)}{3 \, b^{2}}"," ",0,"1/3*(B*a - A*b)/(b^3*x^3 + a*b^2) + 1/3*B*log(b*x^3 + a)/b^2","A",0
79,1,160,0,1.210037," ","integrate(x*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} x^{2}}{3 \, {\left(a b^{2} x^{3} + a^{2} b\right)}} + \frac{\sqrt{3} {\left(2 \, B a + A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(2 \, B a + A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(2 \, B a + A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/3*(B*a - A*b)*x^2/(a*b^2*x^3 + a^2*b) + 1/9*sqrt(3)*(2*B*a + A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^2*(a/b)^(1/3)) + 1/18*(2*B*a + A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^2*(a/b)^(1/3)) - 1/9*(2*B*a + A*b)*log(x + (a/b)^(1/3))/(a*b^2*(a/b)^(1/3))","A",0
80,1,158,0,1.101563," ","integrate((B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} x}{3 \, {\left(a b^{2} x^{3} + a^{2} b\right)}} + \frac{\sqrt{3} {\left(B a + 2 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(B a + 2 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(B a + 2 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/3*(B*a - A*b)*x/(a*b^2*x^3 + a^2*b) + 1/9*sqrt(3)*(B*a + 2*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^2*(a/b)^(2/3)) - 1/18*(B*a + 2*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^2*(a/b)^(2/3)) + 1/9*(B*a + 2*A*b)*log(x + (a/b)^(1/3))/(a*b^2*(a/b)^(2/3))","A",0
81,1,51,0,0.483120," ","integrate((B*x^3+A)/x/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{B a - A b}{3 \, {\left(a b^{2} x^{3} + a^{2} b\right)}} - \frac{A \log\left(b x^{3} + a\right)}{3 \, a^{2}} + \frac{A \log\left(x^{3}\right)}{3 \, a^{2}}"," ",0,"-1/3*(B*a - A*b)/(a*b^2*x^3 + a^2*b) - 1/3*A*log(b*x^3 + a)/a^2 + 1/3*A*log(x^3)/a^2","A",0
82,1,166,0,1.077990," ","integrate((B*x^3+A)/x^2/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - 4 \, A b\right)} x^{3} - 3 \, A a}{3 \, {\left(a^{2} b x^{4} + a^{3} x\right)}} + \frac{\sqrt{3} {\left(B a - 4 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(B a - 4 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(B a - 4 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/3*((B*a - 4*A*b)*x^3 - 3*A*a)/(a^2*b*x^4 + a^3*x) + 1/9*sqrt(3)*(B*a - 4*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b*(a/b)^(1/3)) + 1/18*(B*a - 4*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*(a/b)^(1/3)) - 1/9*(B*a - 4*A*b)*log(x + (a/b)^(1/3))/(a^2*b*(a/b)^(1/3))","A",0
83,1,172,0,1.231847," ","integrate((B*x^3+A)/x^3/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, B a - 5 \, A b\right)} x^{3} - 3 \, A a}{6 \, {\left(a^{2} b x^{5} + a^{3} x^{2}\right)}} + \frac{\sqrt{3} {\left(2 \, B a - 5 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(2 \, B a - 5 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(2 \, B a - 5 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/6*((2*B*a - 5*A*b)*x^3 - 3*A*a)/(a^2*b*x^5 + a^3*x^2) + 1/9*sqrt(3)*(2*B*a - 5*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b*(a/b)^(2/3)) - 1/18*(2*B*a - 5*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*(a/b)^(2/3)) + 1/9*(2*B*a - 5*A*b)*log(x + (a/b)^(1/3))/(a^2*b*(a/b)^(2/3))","A",0
84,1,76,0,0.504456," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - 2 \, A b\right)} x^{3} - A a}{3 \, {\left(a^{2} b x^{6} + a^{3} x^{3}\right)}} - \frac{{\left(B a - 2 \, A b\right)} \log\left(b x^{3} + a\right)}{3 \, a^{3}} + \frac{{\left(B a - 2 \, A b\right)} \log\left(x^{3}\right)}{3 \, a^{3}}"," ",0,"1/3*((B*a - 2*A*b)*x^3 - A*a)/(a^2*b*x^6 + a^3*x^3) - 1/3*(B*a - 2*A*b)*log(b*x^3 + a)/a^3 + 1/3*(B*a - 2*A*b)*log(x^3)/a^3","A",0
85,1,186,0,1.421132," ","integrate((B*x^3+A)/x^5/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{4 \, {\left(4 \, B a b - 7 \, A b^{2}\right)} x^{6} + 3 \, {\left(4 \, B a^{2} - 7 \, A a b\right)} x^{3} + 3 \, A a^{2}}{12 \, {\left(a^{3} b x^{7} + a^{4} x^{4}\right)}} - \frac{\sqrt{3} {\left(4 \, B a - 7 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(4 \, B a - 7 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(4 \, B a - 7 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/12*(4*(4*B*a*b - 7*A*b^2)*x^6 + 3*(4*B*a^2 - 7*A*a*b)*x^3 + 3*A*a^2)/(a^3*b*x^7 + a^4*x^4) - 1/9*sqrt(3)*(4*B*a - 7*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*(a/b)^(1/3)) - 1/18*(4*B*a - 7*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*(a/b)^(1/3)) + 1/9*(4*B*a - 7*A*b)*log(x + (a/b)^(1/3))/(a^3*(a/b)^(1/3))","A",0
86,1,186,0,1.319294," ","integrate((B*x^3+A)/x^6/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{5 \, {\left(5 \, B a b - 8 \, A b^{2}\right)} x^{6} + 3 \, {\left(5 \, B a^{2} - 8 \, A a b\right)} x^{3} + 6 \, A a^{2}}{30 \, {\left(a^{3} b x^{8} + a^{4} x^{5}\right)}} - \frac{\sqrt{3} {\left(5 \, B a - 8 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(5 \, B a - 8 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(5 \, B a - 8 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/30*(5*(5*B*a*b - 8*A*b^2)*x^6 + 3*(5*B*a^2 - 8*A*a*b)*x^3 + 6*A*a^2)/(a^3*b*x^8 + a^4*x^5) - 1/9*sqrt(3)*(5*B*a - 8*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*(a/b)^(2/3)) + 1/18*(5*B*a - 8*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*(a/b)^(2/3)) - 1/9*(5*B*a - 8*A*b)*log(x + (a/b)^(1/3))/(a^3*(a/b)^(2/3))","A",0
87,1,106,0,0.652195," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, B a b - 3 \, A b^{2}\right)} x^{6} + {\left(2 \, B a^{2} - 3 \, A a b\right)} x^{3} + A a^{2}}{6 \, {\left(a^{3} b x^{9} + a^{4} x^{6}\right)}} + \frac{{\left(2 \, B a b - 3 \, A b^{2}\right)} \log\left(b x^{3} + a\right)}{3 \, a^{4}} - \frac{{\left(2 \, B a b - 3 \, A b^{2}\right)} \log\left(x^{3}\right)}{3 \, a^{4}}"," ",0,"-1/6*(2*(2*B*a*b - 3*A*b^2)*x^6 + (2*B*a^2 - 3*A*a*b)*x^3 + A*a^2)/(a^3*b*x^9 + a^4*x^6) + 1/3*(2*B*a*b - 3*A*b^2)*log(b*x^3 + a)/a^4 - 1/3*(2*B*a*b - 3*A*b^2)*log(x^3)/a^4","A",0
88,1,115,0,0.537965," ","integrate(x^11*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{7 \, B a^{4} - 5 \, A a^{3} b + 2 \, {\left(4 \, B a^{3} b - 3 \, A a^{2} b^{2}\right)} x^{3}}{6 \, {\left(b^{7} x^{6} + 2 \, a b^{6} x^{3} + a^{2} b^{5}\right)}} + \frac{B b x^{6} - 2 \, {\left(3 \, B a - A b\right)} x^{3}}{6 \, b^{4}} + \frac{{\left(2 \, B a^{2} - A a b\right)} \log\left(b x^{3} + a\right)}{b^{5}}"," ",0,"1/6*(7*B*a^4 - 5*A*a^3*b + 2*(4*B*a^3*b - 3*A*a^2*b^2)*x^3)/(b^7*x^6 + 2*a*b^6*x^3 + a^2*b^5) + 1/6*(B*b*x^6 - 2*(3*B*a - A*b)*x^3)/b^4 + (2*B*a^2 - A*a*b)*log(b*x^3 + a)/b^5","A",0
89,1,94,0,0.524355," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{B x^{3}}{3 \, b^{3}} - \frac{5 \, B a^{3} - 3 \, A a^{2} b + 2 \, {\left(3 \, B a^{2} b - 2 \, A a b^{2}\right)} x^{3}}{6 \, {\left(b^{6} x^{6} + 2 \, a b^{5} x^{3} + a^{2} b^{4}\right)}} - \frac{{\left(3 \, B a - A b\right)} \log\left(b x^{3} + a\right)}{3 \, b^{4}}"," ",0,"1/3*B*x^3/b^3 - 1/6*(5*B*a^3 - 3*A*a^2*b + 2*(3*B*a^2*b - 2*A*a*b^2)*x^3)/(b^6*x^6 + 2*a*b^5*x^3 + a^2*b^4) - 1/3*(3*B*a - A*b)*log(b*x^3 + a)/b^4","A",0
90,1,72,0,0.473572," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, B a b - A b^{2}\right)} x^{3} + 3 \, B a^{2} - A a b}{6 \, {\left(b^{5} x^{6} + 2 \, a b^{4} x^{3} + a^{2} b^{3}\right)}} + \frac{B \log\left(b x^{3} + a\right)}{3 \, b^{3}}"," ",0,"1/6*(2*(2*B*a*b - A*b^2)*x^3 + 3*B*a^2 - A*a*b)/(b^5*x^6 + 2*a*b^4*x^3 + a^2*b^3) + 1/3*B*log(b*x^3 + a)/b^3","A",0
91,1,42,0,0.456694," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{2 \, B b x^{3} + B a + A b}{6 \, {\left(b^{4} x^{6} + 2 \, a b^{3} x^{3} + a^{2} b^{2}\right)}}"," ",0,"-1/6*(2*B*b*x^3 + B*a + A*b)/(b^4*x^6 + 2*a*b^3*x^3 + a^2*b^2)","A",0
92,1,77,0,0.454166," ","integrate((B*x^3+A)/x/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{2 \, A b^{2} x^{3} - B a^{2} + 3 \, A a b}{6 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}} - \frac{A \log\left(b x^{3} + a\right)}{3 \, a^{3}} + \frac{A \log\left(x^{3}\right)}{3 \, a^{3}}"," ",0,"1/6*(2*A*b^2*x^3 - B*a^2 + 3*A*a*b)/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b) - 1/3*A*log(b*x^3 + a)/a^3 + 1/3*A*log(x^3)/a^3","A",0
93,1,109,0,0.504023," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(B a b - 3 \, A b^{2}\right)} x^{6} + 3 \, {\left(B a^{2} - 3 \, A a b\right)} x^{3} - 2 \, A a^{2}}{6 \, {\left(a^{3} b^{2} x^{9} + 2 \, a^{4} b x^{6} + a^{5} x^{3}\right)}} - \frac{{\left(B a - 3 \, A b\right)} \log\left(b x^{3} + a\right)}{3 \, a^{4}} + \frac{{\left(B a - 3 \, A b\right)} \log\left(x^{3}\right)}{3 \, a^{4}}"," ",0,"1/6*(2*(B*a*b - 3*A*b^2)*x^6 + 3*(B*a^2 - 3*A*a*b)*x^3 - 2*A*a^2)/(a^3*b^2*x^9 + 2*a^4*b*x^6 + a^5*x^3) - 1/3*(B*a - 3*A*b)*log(b*x^3 + a)/a^4 + 1/3*(B*a - 3*A*b)*log(x^3)/a^4","A",0
94,1,136,0,0.519497," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{6 \, {\left(B a b^{2} - 2 \, A b^{3}\right)} x^{9} + 9 \, {\left(B a^{2} b - 2 \, A a b^{2}\right)} x^{6} + A a^{3} + 2 \, {\left(B a^{3} - 2 \, A a^{2} b\right)} x^{3}}{6 \, {\left(a^{4} b^{2} x^{12} + 2 \, a^{5} b x^{9} + a^{6} x^{6}\right)}} + \frac{{\left(B a b - 2 \, A b^{2}\right)} \log\left(b x^{3} + a\right)}{a^{5}} - \frac{{\left(B a b - 2 \, A b^{2}\right)} \log\left(x^{3}\right)}{a^{5}}"," ",0,"-1/6*(6*(B*a*b^2 - 2*A*b^3)*x^9 + 9*(B*a^2*b - 2*A*a*b^2)*x^6 + A*a^3 + 2*(B*a^3 - 2*A*a^2*b)*x^3)/(a^4*b^2*x^12 + 2*a^5*b*x^9 + a^6*x^6) + (B*a*b - 2*A*b^2)*log(b*x^3 + a)/a^5 - (B*a*b - 2*A*b^2)*log(x^3)/a^5","A",0
95,1,228,0,1.365810," ","integrate(x^10*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(10 \, B a^{2} b - 7 \, A a b^{2}\right)} x^{5} + {\left(17 \, B a^{3} - 11 \, A a^{2} b\right)} x^{2}}{18 \, {\left(b^{6} x^{6} + 2 \, a b^{5} x^{3} + a^{2} b^{4}\right)}} + \frac{4 \, \sqrt{3} {\left(11 \, B a^{2} - 5 \, A a b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, b^{5} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{2 \, B b x^{5} - 5 \, {\left(3 \, B a - A b\right)} x^{2}}{10 \, b^{4}} + \frac{2 \, {\left(11 \, B a^{2} - 5 \, A a b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, b^{5} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{4 \, {\left(11 \, B a^{2} - 5 \, A a b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, b^{5} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/18*(2*(10*B*a^2*b - 7*A*a*b^2)*x^5 + (17*B*a^3 - 11*A*a^2*b)*x^2)/(b^6*x^6 + 2*a*b^5*x^3 + a^2*b^4) + 4/27*sqrt(3)*(11*B*a^2 - 5*A*a*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^5*(a/b)^(1/3)) + 1/10*(2*B*b*x^5 - 5*(3*B*a - A*b)*x^2)/b^4 + 2/27*(11*B*a^2 - 5*A*a*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^5*(a/b)^(1/3)) - 4/27*(11*B*a^2 - 5*A*a*b)*log(x + (a/b)^(1/3))/(b^5*(a/b)^(1/3))","A",0
96,1,223,0,1.236542," ","integrate(x^9*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{{\left(19 \, B a^{2} b - 13 \, A a b^{2}\right)} x^{4} + 2 \, {\left(8 \, B a^{3} - 5 \, A a^{2} b\right)} x}{18 \, {\left(b^{6} x^{6} + 2 \, a b^{5} x^{3} + a^{2} b^{4}\right)}} + \frac{B b x^{4} - 4 \, {\left(3 \, B a - A b\right)} x}{4 \, b^{4}} + \frac{7 \, \sqrt{3} {\left(5 \, B a^{2} - 2 \, A a b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, b^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{7 \, {\left(5 \, B a^{2} - 2 \, A a b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, b^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{7 \, {\left(5 \, B a^{2} - 2 \, A a b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, b^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/18*((19*B*a^2*b - 13*A*a*b^2)*x^4 + 2*(8*B*a^3 - 5*A*a^2*b)*x)/(b^6*x^6 + 2*a*b^5*x^3 + a^2*b^4) + 1/4*(B*b*x^4 - 4*(3*B*a - A*b)*x)/b^4 + 7/27*sqrt(3)*(5*B*a^2 - 2*A*a*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^5*(a/b)^(2/3)) - 7/54*(5*B*a^2 - 2*A*a*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^5*(a/b)^(2/3)) + 7/27*(5*B*a^2 - 2*A*a*b)*log(x + (a/b)^(1/3))/(b^5*(a/b)^(2/3))","A",0
97,1,196,0,1.322496," ","integrate(x^7*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, B a b - 4 \, A b^{2}\right)} x^{5} + {\left(11 \, B a^{2} - 5 \, A a b\right)} x^{2}}{18 \, {\left(b^{5} x^{6} + 2 \, a b^{4} x^{3} + a^{2} b^{3}\right)}} + \frac{B x^{2}}{2 \, b^{3}} - \frac{5 \, \sqrt{3} {\left(4 \, B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, b^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{5 \, {\left(4 \, B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, b^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{5 \, {\left(4 \, B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, b^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/18*(2*(7*B*a*b - 4*A*b^2)*x^5 + (11*B*a^2 - 5*A*a*b)*x^2)/(b^5*x^6 + 2*a*b^4*x^3 + a^2*b^3) + 1/2*B*x^2/b^3 - 5/27*sqrt(3)*(4*B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^4*(a/b)^(1/3)) - 5/54*(4*B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^4*(a/b)^(1/3)) + 5/27*(4*B*a - A*b)*log(x + (a/b)^(1/3))/(b^4*(a/b)^(1/3))","A",0
98,1,191,0,1.360856," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(13 \, B a b - 7 \, A b^{2}\right)} x^{4} + 2 \, {\left(5 \, B a^{2} - 2 \, A a b\right)} x}{18 \, {\left(b^{5} x^{6} + 2 \, a b^{4} x^{3} + a^{2} b^{3}\right)}} + \frac{B x}{b^{3}} - \frac{2 \, \sqrt{3} {\left(7 \, B a - A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(7 \, B a - A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{2 \, {\left(7 \, B a - A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, b^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/18*((13*B*a*b - 7*A*b^2)*x^4 + 2*(5*B*a^2 - 2*A*a*b)*x)/(b^5*x^6 + 2*a*b^4*x^3 + a^2*b^3) + B*x/b^3 - 2/27*sqrt(3)*(7*B*a - A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^4*(a/b)^(2/3)) + 1/27*(7*B*a - A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^4*(a/b)^(2/3)) - 2/27*(7*B*a - A*b)*log(x + (a/b)^(1/3))/(b^4*(a/b)^(2/3))","A",0
99,1,195,0,1.266231," ","integrate(x^4*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(4 \, B a b - A b^{2}\right)} x^{5} + {\left(5 \, B a^{2} + A a b\right)} x^{2}}{18 \, {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)}} + \frac{\sqrt{3} {\left(5 \, B a + A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(5 \, B a + A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(5 \, B a + A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/18*(2*(4*B*a*b - A*b^2)*x^5 + (5*B*a^2 + A*a*b)*x^2)/(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2) + 1/27*sqrt(3)*(5*B*a + A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^3*(a/b)^(1/3)) + 1/54*(5*B*a + A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^3*(a/b)^(1/3)) - 1/27*(5*B*a + A*b)*log(x + (a/b)^(1/3))/(a*b^3*(a/b)^(1/3))","A",0
100,1,193,0,1.252994," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{{\left(7 \, B a b - A b^{2}\right)} x^{4} + 2 \, {\left(2 \, B a^{2} + A a b\right)} x}{18 \, {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)}} + \frac{\sqrt{3} {\left(2 \, B a + A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(2 \, B a + A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(2 \, B a + A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/18*((7*B*a*b - A*b^2)*x^4 + 2*(2*B*a^2 + A*a*b)*x)/(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2) + 1/27*sqrt(3)*(2*B*a + A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^3*(a/b)^(2/3)) - 1/54*(2*B*a + A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^3*(a/b)^(2/3)) + 1/27*(2*B*a + A*b)*log(x + (a/b)^(1/3))/(a*b^3*(a/b)^(2/3))","A",0
101,1,195,0,1.399179," ","integrate(x*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(B a b + 2 \, A b^{2}\right)} x^{5} - {\left(B a^{2} - 7 \, A a b\right)} x^{2}}{18 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}} + \frac{\sqrt{3} {\left(B a + 2 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{2} b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(B a + 2 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a^{2} b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{{\left(B a + 2 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{2} b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/18*(2*(B*a*b + 2*A*b^2)*x^5 - (B*a^2 - 7*A*a*b)*x^2)/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b) + 1/27*sqrt(3)*(B*a + 2*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b^2*(a/b)^(1/3)) + 1/54*(B*a + 2*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b^2*(a/b)^(1/3)) - 1/27*(B*a + 2*A*b)*log(x + (a/b)^(1/3))/(a^2*b^2*(a/b)^(1/3))","A",0
102,1,192,0,1.370424," ","integrate((B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(B a b + 5 \, A b^{2}\right)} x^{4} - 2 \, {\left(B a^{2} - 4 \, A a b\right)} x}{18 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}} + \frac{\sqrt{3} {\left(B a + 5 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{2} b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{{\left(B a + 5 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a^{2} b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(B a + 5 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{2} b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/18*((B*a*b + 5*A*b^2)*x^4 - 2*(B*a^2 - 4*A*a*b)*x)/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b) + 1/27*sqrt(3)*(B*a + 5*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b^2*(a/b)^(2/3)) - 1/54*(B*a + 5*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b^2*(a/b)^(2/3)) + 1/27*(B*a + 5*A*b)*log(x + (a/b)^(1/3))/(a^2*b^2*(a/b)^(2/3))","A",0
103,1,199,0,1.408740," ","integrate((B*x^3+A)/x^2/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{4 \, {\left(B a b - 7 \, A b^{2}\right)} x^{6} + 7 \, {\left(B a^{2} - 7 \, A a b\right)} x^{3} - 18 \, A a^{2}}{18 \, {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)}} + \frac{2 \, \sqrt{3} {\left(B a - 7 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{3} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(B a - 7 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, a^{3} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{2 \, {\left(B a - 7 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{3} b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/18*(4*(B*a*b - 7*A*b^2)*x^6 + 7*(B*a^2 - 7*A*a*b)*x^3 - 18*A*a^2)/(a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x) + 2/27*sqrt(3)*(B*a - 7*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*b*(a/b)^(1/3)) + 1/27*(B*a - 7*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*b*(a/b)^(1/3)) - 2/27*(B*a - 7*A*b)*log(x + (a/b)^(1/3))/(a^3*b*(a/b)^(1/3))","A",0
104,1,201,0,1.197850," ","integrate((B*x^3+A)/x^3/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{5 \, {\left(B a b - 4 \, A b^{2}\right)} x^{6} + 8 \, {\left(B a^{2} - 4 \, A a b\right)} x^{3} - 9 \, A a^{2}}{18 \, {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)}} + \frac{5 \, \sqrt{3} {\left(B a - 4 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{3} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{5 \, {\left(B a - 4 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a^{3} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{5 \, {\left(B a - 4 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{3} b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/18*(5*(B*a*b - 4*A*b^2)*x^6 + 8*(B*a^2 - 4*A*a*b)*x^3 - 9*A*a^2)/(a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2) + 5/27*sqrt(3)*(B*a - 4*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*b*(a/b)^(2/3)) - 5/54*(B*a - 4*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*b*(a/b)^(2/3)) + 5/27*(B*a - 4*A*b)*log(x + (a/b)^(1/3))/(a^3*b*(a/b)^(2/3))","A",0
105,1,221,0,1.419253," ","integrate((B*x^3+A)/x^5/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{28 \, {\left(2 \, B a b^{2} - 5 \, A b^{3}\right)} x^{9} + 49 \, {\left(2 \, B a^{2} b - 5 \, A a b^{2}\right)} x^{6} + 9 \, A a^{3} + 18 \, {\left(2 \, B a^{3} - 5 \, A a^{2} b\right)} x^{3}}{36 \, {\left(a^{4} b^{2} x^{10} + 2 \, a^{5} b x^{7} + a^{6} x^{4}\right)}} - \frac{7 \, \sqrt{3} {\left(2 \, B a - 5 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{7 \, {\left(2 \, B a - 5 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{7 \, {\left(2 \, B a - 5 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{4} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/36*(28*(2*B*a*b^2 - 5*A*b^3)*x^9 + 49*(2*B*a^2*b - 5*A*a*b^2)*x^6 + 9*A*a^3 + 18*(2*B*a^3 - 5*A*a^2*b)*x^3)/(a^4*b^2*x^10 + 2*a^5*b*x^7 + a^6*x^4) - 7/27*sqrt(3)*(2*B*a - 5*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^4*(a/b)^(1/3)) - 7/54*(2*B*a - 5*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^4*(a/b)^(1/3)) + 7/27*(2*B*a - 5*A*b)*log(x + (a/b)^(1/3))/(a^4*(a/b)^(1/3))","A",0
106,1,221,0,1.464979," ","integrate((B*x^3+A)/x^6/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{20 \, {\left(5 \, B a b^{2} - 11 \, A b^{3}\right)} x^{9} + 32 \, {\left(5 \, B a^{2} b - 11 \, A a b^{2}\right)} x^{6} + 18 \, A a^{3} + 9 \, {\left(5 \, B a^{3} - 11 \, A a^{2} b\right)} x^{3}}{90 \, {\left(a^{4} b^{2} x^{11} + 2 \, a^{5} b x^{8} + a^{6} x^{5}\right)}} - \frac{4 \, \sqrt{3} {\left(5 \, B a - 11 \, A b\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{2 \, {\left(5 \, B a - 11 \, A b\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, a^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{4 \, {\left(5 \, B a - 11 \, A b\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{4} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/90*(20*(5*B*a*b^2 - 11*A*b^3)*x^9 + 32*(5*B*a^2*b - 11*A*a*b^2)*x^6 + 18*A*a^3 + 9*(5*B*a^3 - 11*A*a^2*b)*x^3)/(a^4*b^2*x^11 + 2*a^5*b*x^8 + a^6*x^5) - 4/27*sqrt(3)*(5*B*a - 11*A*b)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^4*(a/b)^(2/3)) + 2/27*(5*B*a - 11*A*b)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^4*(a/b)^(2/3)) - 4/27*(5*B*a - 11*A*b)*log(x + (a/b)^(1/3))/(a^4*(a/b)^(2/3))","A",0
107,1,68,0,0.585031," ","integrate(x^8/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x^{3} + a\right)}{3 \, {\left(b^{3} c - a b^{2} d\right)}} - \frac{c^{2} \log\left(d x^{3} + c\right)}{3 \, {\left(b c d^{2} - a d^{3}\right)}} + \frac{x^{3}}{3 \, b d}"," ",0,"1/3*a^2*log(b*x^3 + a)/(b^3*c - a*b^2*d) - 1/3*c^2*log(d*x^3 + c)/(b*c*d^2 - a*d^3) + 1/3*x^3/(b*d)","A",0
108,1,324,0,1.271471," ","integrate(x^7/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{\sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b^{3} c - a b^{2} d\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\sqrt{3} c^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c d^{2} - a d^{3}\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} + \frac{a^{2} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{3} c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a b^{2} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} - \frac{c^{2} \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d^{3} \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} - \frac{a^{2} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b^{3} c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a b^{2} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} + \frac{c^{2} \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c d^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d^{3} \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} + \frac{x^{2}}{2 \, b d}"," ",0,"1/3*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((b^3*c - a*b^2*d)*(a/b)^(1/3)) - 1/3*sqrt(3)*c^2*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c*d^2 - a*d^3)*(c/d)^(1/3)) + 1/6*a^2*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*c*(a/b)^(1/3) - a*b^2*d*(a/b)^(1/3)) - 1/6*c^2*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c*d^2*(c/d)^(1/3) - a*d^3*(c/d)^(1/3)) - 1/3*a^2*log(x + (a/b)^(1/3))/(b^3*c*(a/b)^(1/3) - a*b^2*d*(a/b)^(1/3)) + 1/3*c^2*log(x + (c/d)^(1/3))/(b*c*d^2*(c/d)^(1/3) - a*d^3*(c/d)^(1/3)) + 1/2*x^2/(b*d)","A",0
109,1,349,0,1.354625," ","integrate(x^6/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{\sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b^{3} c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a b^{2} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\sqrt{3} c^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c d^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d^{3} \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} - \frac{a^{2} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{3} c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a b^{2} d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} + \frac{c^{2} \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{2} \left(\frac{c}{d}\right)^{\frac{2}{3}} - a d^{3} \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} + \frac{a^{2} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b^{3} c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a b^{2} d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} - \frac{c^{2} \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c d^{2} \left(\frac{c}{d}\right)^{\frac{2}{3}} - a d^{3} \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} + \frac{x}{b d}"," ",0,"1/3*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((b^3*c*(a/b)^(1/3) - a*b^2*d*(a/b)^(1/3))*(a/b)^(1/3)) - 1/3*sqrt(3)*c^2*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c*d^2*(c/d)^(1/3) - a*d^3*(c/d)^(1/3))*(c/d)^(1/3)) - 1/6*a^2*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*c*(a/b)^(2/3) - a*b^2*d*(a/b)^(2/3)) + 1/6*c^2*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c*d^2*(c/d)^(2/3) - a*d^3*(c/d)^(2/3)) + 1/3*a^2*log(x + (a/b)^(1/3))/(b^3*c*(a/b)^(2/3) - a*b^2*d*(a/b)^(2/3)) - 1/3*c^2*log(x + (c/d)^(1/3))/(b*c*d^2*(c/d)^(2/3) - a*d^3*(c/d)^(2/3)) + x/(b*d)","A",0
110,1,49,0,0.463424," ","integrate(x^5/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{a \log\left(b x^{3} + a\right)}{3 \, {\left(b^{2} c - a b d\right)}} + \frac{c \log\left(d x^{3} + c\right)}{3 \, {\left(b c d - a d^{2}\right)}}"," ",0,"-1/3*a*log(b*x^3 + a)/(b^2*c - a*b*d) + 1/3*c*log(d*x^3 + c)/(b*c*d - a*d^2)","A",0
111,1,289,0,1.271964," ","integrate(x^4/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b^{2} c - a b d\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\sqrt{3} c \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c d - a d^{2}\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} - \frac{a \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a b d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} + \frac{c \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} + \frac{a \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b^{2} c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a b d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} - \frac{c \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c d \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}"," ",0,"-1/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((b^2*c - a*b*d)*(a/b)^(1/3)) + 1/3*sqrt(3)*c*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c*d - a*d^2)*(c/d)^(1/3)) - 1/6*a*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*c*(a/b)^(1/3) - a*b*d*(a/b)^(1/3)) + 1/6*c*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c*d*(c/d)^(1/3) - a*d^2*(c/d)^(1/3)) + 1/3*a*log(x + (a/b)^(1/3))/(b^2*c*(a/b)^(1/3) - a*b*d*(a/b)^(1/3)) - 1/3*c*log(x + (c/d)^(1/3))/(b*c*d*(c/d)^(1/3) - a*d^2*(c/d)^(1/3))","A",0
112,1,317,0,1.206376," ","integrate(x^3/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b^{2} c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a b d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\sqrt{3} c \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c d \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} + \frac{a \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a b d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} - \frac{c \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d \left(\frac{c}{d}\right)^{\frac{2}{3}} - a d^{2} \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} - \frac{a \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b^{2} c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a b d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} + \frac{c \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c d \left(\frac{c}{d}\right)^{\frac{2}{3}} - a d^{2} \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}}"," ",0,"-1/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((b^2*c*(a/b)^(1/3) - a*b*d*(a/b)^(1/3))*(a/b)^(1/3)) + 1/3*sqrt(3)*c*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c*d*(c/d)^(1/3) - a*d^2*(c/d)^(1/3))*(c/d)^(1/3)) + 1/6*a*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*c*(a/b)^(2/3) - a*b*d*(a/b)^(2/3)) - 1/6*c*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c*d*(c/d)^(2/3) - a*d^2*(c/d)^(2/3)) - 1/3*a*log(x + (a/b)^(1/3))/(b^2*c*(a/b)^(2/3) - a*b*d*(a/b)^(2/3)) + 1/3*c*log(x + (c/d)^(1/3))/(b*c*d*(c/d)^(2/3) - a*d^2*(c/d)^(2/3))","A",0
113,1,41,0,0.482643," ","integrate(x^2/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{\log\left(b x^{3} + a\right)}{3 \, {\left(b c - a d\right)}} - \frac{\log\left(d x^{3} + c\right)}{3 \, {\left(b c - a d\right)}}"," ",0,"1/3*log(b*x^3 + a)/(b*c - a*d) - 1/3*log(d*x^3 + c)/(b*c - a*d)","A",0
114,1,265,0,1.287112," ","integrate(x/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c - a d\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c - a d\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} - \frac{\log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} - \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} + \frac{\log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((b*c - a*d)*(a/b)^(1/3)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c - a*d)*(c/d)^(1/3)) + 1/6*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b*c*(a/b)^(1/3) - a*d*(a/b)^(1/3)) - 1/6*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c*(c/d)^(1/3) - a*d*(c/d)^(1/3)) - 1/3*log(x + (a/b)^(1/3))/(b*c*(a/b)^(1/3) - a*d*(a/b)^(1/3)) + 1/3*log(x + (c/d)^(1/3))/(b*c*(c/d)^(1/3) - a*d*(c/d)^(1/3))","A",0
115,1,293,0,1.343298," ","integrate(1/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c \left(\frac{c}{d}\right)^{\frac{1}{3}} - a d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} + \frac{\log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c \left(\frac{c}{d}\right)^{\frac{2}{3}} - a d \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} + \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} - \frac{\log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c \left(\frac{c}{d}\right)^{\frac{2}{3}} - a d \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((b*c*(a/b)^(1/3) - a*d*(a/b)^(1/3))*(a/b)^(1/3)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c*(c/d)^(1/3) - a*d*(c/d)^(1/3))*(c/d)^(1/3)) - 1/6*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b*c*(a/b)^(2/3) - a*d*(a/b)^(2/3)) + 1/6*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c*(c/d)^(2/3) - a*d*(c/d)^(2/3)) + 1/3*log(x + (a/b)^(1/3))/(b*c*(a/b)^(2/3) - a*d*(a/b)^(2/3)) - 1/3*log(x + (c/d)^(1/3))/(b*c*(c/d)^(2/3) - a*d*(c/d)^(2/3))","A",0
116,1,61,0,0.542737," ","integrate(1/x/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{b \log\left(b x^{3} + a\right)}{3 \, {\left(a b c - a^{2} d\right)}} + \frac{d \log\left(d x^{3} + c\right)}{3 \, {\left(b c^{2} - a c d\right)}} + \frac{\log\left(x^{3}\right)}{3 \, a c}"," ",0,"-1/3*b*log(b*x^3 + a)/(a*b*c - a^2*d) + 1/3*d*log(d*x^3 + c)/(b*c^2 - a*c*d) + 1/3*log(x^3)/(a*c)","A",0
117,1,300,0,1.199568," ","integrate(1/x^2/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(a b c - a^{2} d\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\sqrt{3} d \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c^{2} - a c d\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} - \frac{b \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(a b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{2} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} + \frac{d \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} + \frac{b \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(a b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{2} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} - \frac{d \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} - \frac{1}{a c x}"," ",0,"-1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((a*b*c - a^2*d)*(a/b)^(1/3)) + 1/3*sqrt(3)*d*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c^2 - a*c*d)*(c/d)^(1/3)) - 1/6*b*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*c*(a/b)^(1/3) - a^2*d*(a/b)^(1/3)) + 1/6*d*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c^2*(c/d)^(1/3) - a*c*d*(c/d)^(1/3)) + 1/3*b*log(x + (a/b)^(1/3))/(a*b*c*(a/b)^(1/3) - a^2*d*(a/b)^(1/3)) - 1/3*d*log(x + (c/d)^(1/3))/(b*c^2*(c/d)^(1/3) - a*c*d*(c/d)^(1/3)) - 1/(a*c*x)","A",0
118,1,328,0,1.136206," ","integrate(1/x^3/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(a b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{2} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\sqrt{3} d \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c^{2} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} + \frac{b \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(a b c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a^{2} d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} - \frac{d \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{2} \left(\frac{c}{d}\right)^{\frac{2}{3}} - a c d \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} - \frac{b \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(a b c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a^{2} d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} + \frac{d \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c^{2} \left(\frac{c}{d}\right)^{\frac{2}{3}} - a c d \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} - \frac{1}{2 \, a c x^{2}}"," ",0,"-1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((a*b*c*(a/b)^(1/3) - a^2*d*(a/b)^(1/3))*(a/b)^(1/3)) + 1/3*sqrt(3)*d*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c^2*(c/d)^(1/3) - a*c*d*(c/d)^(1/3))*(c/d)^(1/3)) + 1/6*b*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*c*(a/b)^(2/3) - a^2*d*(a/b)^(2/3)) - 1/6*d*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c^2*(c/d)^(2/3) - a*c*d*(c/d)^(2/3)) - 1/3*b*log(x + (a/b)^(1/3))/(a*b*c*(a/b)^(2/3) - a^2*d*(a/b)^(2/3)) + 1/3*d*log(x + (c/d)^(1/3))/(b*c^2*(c/d)^(2/3) - a*c*d*(c/d)^(2/3)) - 1/2/(a*c*x^2)","A",0
119,1,87,0,0.485146," ","integrate(1/x^4/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{b^{2} \log\left(b x^{3} + a\right)}{3 \, {\left(a^{2} b c - a^{3} d\right)}} - \frac{d^{2} \log\left(d x^{3} + c\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} - \frac{{\left(b c + a d\right)} \log\left(x^{3}\right)}{3 \, a^{2} c^{2}} - \frac{1}{3 \, a c x^{3}}"," ",0,"1/3*b^2*log(b*x^3 + a)/(a^2*b*c - a^3*d) - 1/3*d^2*log(d*x^3 + c)/(b*c^3 - a*c^2*d) - 1/3*(b*c + a*d)*log(x^3)/(a^2*c^2) - 1/3/(a*c*x^3)","A",0
120,1,341,0,1.125890," ","integrate(1/x^5/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{\sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(a^{2} b c - a^{3} d\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\sqrt{3} d^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} + \frac{b^{2} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(a^{2} b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{3} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} - \frac{d^{2} \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{3} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c^{2} d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} - \frac{b^{2} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(a^{2} b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{3} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} + \frac{d^{2} \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c^{3} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c^{2} d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} + \frac{4 \, {\left(b c + a d\right)} x^{3} - a c}{4 \, a^{2} c^{2} x^{4}}"," ",0,"1/3*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((a^2*b*c - a^3*d)*(a/b)^(1/3)) - 1/3*sqrt(3)*d^2*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c^3 - a*c^2*d)*(c/d)^(1/3)) + 1/6*b^2*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*c*(a/b)^(1/3) - a^3*d*(a/b)^(1/3)) - 1/6*d^2*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c^3*(c/d)^(1/3) - a*c^2*d*(c/d)^(1/3)) - 1/3*b^2*log(x + (a/b)^(1/3))/(a^2*b*c*(a/b)^(1/3) - a^3*d*(a/b)^(1/3)) + 1/3*d^2*log(x + (c/d)^(1/3))/(b*c^3*(c/d)^(1/3) - a*c^2*d*(c/d)^(1/3)) + 1/4*(4*(b*c + a*d)*x^3 - a*c)/(a^2*c^2*x^4)","A",0
121,1,369,0,1.231473," ","integrate(1/x^6/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\frac{\sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(a^{2} b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{3} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\sqrt{3} d^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c^{3} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c^{2} d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} - \frac{b^{2} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(a^{2} b c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a^{3} d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} + \frac{d^{2} \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{3} \left(\frac{c}{d}\right)^{\frac{2}{3}} - a c^{2} d \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} + \frac{b^{2} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(a^{2} b c \left(\frac{a}{b}\right)^{\frac{2}{3}} - a^{3} d \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} - \frac{d^{2} \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c^{3} \left(\frac{c}{d}\right)^{\frac{2}{3}} - a c^{2} d \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}} + \frac{5 \, {\left(b c + a d\right)} x^{3} - 2 \, a c}{10 \, a^{2} c^{2} x^{5}}"," ",0,"1/3*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((a^2*b*c*(a/b)^(1/3) - a^3*d*(a/b)^(1/3))*(a/b)^(1/3)) - 1/3*sqrt(3)*d^2*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c^3*(c/d)^(1/3) - a*c^2*d*(c/d)^(1/3))*(c/d)^(1/3)) - 1/6*b^2*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*c*(a/b)^(2/3) - a^3*d*(a/b)^(2/3)) + 1/6*d^2*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c^3*(c/d)^(2/3) - a*c^2*d*(c/d)^(2/3)) + 1/3*b^2*log(x + (a/b)^(1/3))/(a^2*b*c*(a/b)^(2/3) - a^3*d*(a/b)^(2/3)) - 1/3*d^2*log(x + (c/d)^(1/3))/(b*c^3*(c/d)^(2/3) - a*c^2*d*(c/d)^(2/3)) + 1/10*(5*(b*c + a*d)*x^3 - 2*a*c)/(a^2*c^2*x^5)","A",0
122,1,117,0,0.520404," ","integrate(1/x^7/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(b x^{3} + a\right)}{3 \, {\left(a^{3} b c - a^{4} d\right)}} + \frac{d^{3} \log\left(d x^{3} + c\right)}{3 \, {\left(b c^{4} - a c^{3} d\right)}} + \frac{{\left(b^{2} c^{2} + a b c d + a^{2} d^{2}\right)} \log\left(x^{3}\right)}{3 \, a^{3} c^{3}} + \frac{2 \, {\left(b c + a d\right)} x^{3} - a c}{6 \, a^{2} c^{2} x^{6}}"," ",0,"-1/3*b^3*log(b*x^3 + a)/(a^3*b*c - a^4*d) + 1/3*d^3*log(d*x^3 + c)/(b*c^4 - a*c^3*d) + 1/3*(b^2*c^2 + a*b*c*d + a^2*d^2)*log(x^3)/(a^3*c^3) + 1/6*(2*(b*c + a*d)*x^3 - a*c)/(a^2*c^2*x^6)","A",0
123,1,376,0,1.160383," ","integrate(1/x^8/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","-\frac{\sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(a^{3} b c - a^{4} d\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\sqrt{3} d^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{c}{d}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b c^{4} - a c^{3} d\right)} \left(\frac{c}{d}\right)^{\frac{1}{3}}} - \frac{b^{3} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(a^{3} b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{4} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} + \frac{d^{3} \log\left(x^{2} - x \left(\frac{c}{d}\right)^{\frac{1}{3}} + \left(\frac{c}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{4} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c^{3} d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} + \frac{b^{3} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(a^{3} b c \left(\frac{a}{b}\right)^{\frac{1}{3}} - a^{4} d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}} - \frac{d^{3} \log\left(x + \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b c^{4} \left(\frac{c}{d}\right)^{\frac{1}{3}} - a c^{3} d \left(\frac{c}{d}\right)^{\frac{1}{3}}\right)}} - \frac{28 \, {\left(b^{2} c^{2} + a b c d + a^{2} d^{2}\right)} x^{6} + 4 \, a^{2} c^{2} - 7 \, {\left(a b c^{2} + a^{2} c d\right)} x^{3}}{28 \, a^{3} c^{3} x^{7}}"," ",0,"-1/3*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((a^3*b*c - a^4*d)*(a/b)^(1/3)) + 1/3*sqrt(3)*d^3*arctan(1/3*sqrt(3)*(2*x - (c/d)^(1/3))/(c/d)^(1/3))/((b*c^4 - a*c^3*d)*(c/d)^(1/3)) - 1/6*b^3*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*b*c*(a/b)^(1/3) - a^4*d*(a/b)^(1/3)) + 1/6*d^3*log(x^2 - x*(c/d)^(1/3) + (c/d)^(2/3))/(b*c^4*(c/d)^(1/3) - a*c^3*d*(c/d)^(1/3)) + 1/3*b^3*log(x + (a/b)^(1/3))/(a^3*b*c*(a/b)^(1/3) - a^4*d*(a/b)^(1/3)) - 1/3*d^3*log(x + (c/d)^(1/3))/(b*c^4*(c/d)^(1/3) - a*c^3*d*(c/d)^(1/3)) - 1/28*(28*(b^2*c^2 + a*b*c*d + a^2*d^2)*x^6 + 4*a^2*c^2 - 7*(a*b*c^2 + a^2*c*d)*x^3)/(a^3*c^3*x^7)","A",0
124,1,205,0,0.517879," ","integrate(x^m*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""maxima"")","\frac{B b^{5} x^{m + 19}}{m + 19} + \frac{5 \, B a b^{4} x^{m + 16}}{m + 16} + \frac{A b^{5} x^{m + 16}}{m + 16} + \frac{10 \, B a^{2} b^{3} x^{m + 13}}{m + 13} + \frac{5 \, A a b^{4} x^{m + 13}}{m + 13} + \frac{10 \, B a^{3} b^{2} x^{m + 10}}{m + 10} + \frac{10 \, A a^{2} b^{3} x^{m + 10}}{m + 10} + \frac{5 \, B a^{4} b x^{m + 7}}{m + 7} + \frac{10 \, A a^{3} b^{2} x^{m + 7}}{m + 7} + \frac{B a^{5} x^{m + 4}}{m + 4} + \frac{5 \, A a^{4} b x^{m + 4}}{m + 4} + \frac{A a^{5} x^{m + 1}}{m + 1}"," ",0,"B*b^5*x^(m + 19)/(m + 19) + 5*B*a*b^4*x^(m + 16)/(m + 16) + A*b^5*x^(m + 16)/(m + 16) + 10*B*a^2*b^3*x^(m + 13)/(m + 13) + 5*A*a*b^4*x^(m + 13)/(m + 13) + 10*B*a^3*b^2*x^(m + 10)/(m + 10) + 10*A*a^2*b^3*x^(m + 10)/(m + 10) + 5*B*a^4*b*x^(m + 7)/(m + 7) + 10*A*a^3*b^2*x^(m + 7)/(m + 7) + B*a^5*x^(m + 4)/(m + 4) + 5*A*a^4*b*x^(m + 4)/(m + 4) + A*a^5*x^(m + 1)/(m + 1)","A",0
125,1,91,0,0.494604," ","integrate(x^m*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""maxima"")","\frac{B b^{2} x^{m + 10}}{m + 10} + \frac{2 \, B a b x^{m + 7}}{m + 7} + \frac{A b^{2} x^{m + 7}}{m + 7} + \frac{B a^{2} x^{m + 4}}{m + 4} + \frac{2 \, A a b x^{m + 4}}{m + 4} + \frac{A a^{2} x^{m + 1}}{m + 1}"," ",0,"B*b^2*x^(m + 10)/(m + 10) + 2*B*a*b*x^(m + 7)/(m + 7) + A*b^2*x^(m + 7)/(m + 7) + B*a^2*x^(m + 4)/(m + 4) + 2*A*a*b*x^(m + 4)/(m + 4) + A*a^2*x^(m + 1)/(m + 1)","A",0
126,1,53,0,0.613222," ","integrate(x^m*(b*x^3+a)*(B*x^3+A),x, algorithm=""maxima"")","\frac{B b x^{m + 7}}{m + 7} + \frac{B a x^{m + 4}}{m + 4} + \frac{A b x^{m + 4}}{m + 4} + \frac{A a x^{m + 1}}{m + 1}"," ",0,"B*b*x^(m + 7)/(m + 7) + B*a*x^(m + 4)/(m + 4) + A*b*x^(m + 4)/(m + 4) + A*a*x^(m + 1)/(m + 1)","A",0
127,0,0,0,0.000000," ","integrate(x^m*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{m}}{b x^{3} + a}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^m/(b*x^3 + a), x)","F",0
128,0,0,0,0.000000," ","integrate(x^m*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{m}}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^m/(b*x^3 + a)^2, x)","F",0
129,0,0,0,0.000000," ","integrate(x^m*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{m}}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^m/(b*x^3 + a)^3, x)","F",0
130,0,0,0,0.000000," ","integrate((e*x)^m/(b*x^3+a)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^3 + a)*(d*x^3 + c)), x)","F",0
131,1,27,0,0.447875," ","integrate(x^(7/2)*(b*x^3+a)*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{21} \, B b x^{\frac{21}{2}} + \frac{2}{15} \, {\left(B a + A b\right)} x^{\frac{15}{2}} + \frac{2}{9} \, A a x^{\frac{9}{2}}"," ",0,"2/21*B*b*x^(21/2) + 2/15*(B*a + A*b)*x^(15/2) + 2/9*A*a*x^(9/2)","A",0
132,1,27,0,0.465499," ","integrate(x^(5/2)*(b*x^3+a)*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{19} \, B b x^{\frac{19}{2}} + \frac{2}{13} \, {\left(B a + A b\right)} x^{\frac{13}{2}} + \frac{2}{7} \, A a x^{\frac{7}{2}}"," ",0,"2/19*B*b*x^(19/2) + 2/13*(B*a + A*b)*x^(13/2) + 2/7*A*a*x^(7/2)","A",0
133,1,27,0,0.448562," ","integrate(x^(3/2)*(b*x^3+a)*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{17} \, B b x^{\frac{17}{2}} + \frac{2}{11} \, {\left(B a + A b\right)} x^{\frac{11}{2}} + \frac{2}{5} \, A a x^{\frac{5}{2}}"," ",0,"2/17*B*b*x^(17/2) + 2/11*(B*a + A*b)*x^(11/2) + 2/5*A*a*x^(5/2)","A",0
134,1,27,0,0.466777," ","integrate((b*x^3+a)*(B*x^3+A)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, B b x^{\frac{15}{2}} + \frac{2}{9} \, {\left(B a + A b\right)} x^{\frac{9}{2}} + \frac{2}{3} \, A a x^{\frac{3}{2}}"," ",0,"2/15*B*b*x^(15/2) + 2/9*(B*a + A*b)*x^(9/2) + 2/3*A*a*x^(3/2)","A",0
135,1,27,0,0.504835," ","integrate((b*x^3+a)*(B*x^3+A)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{13} \, B b x^{\frac{13}{2}} + \frac{2}{7} \, {\left(B a + A b\right)} x^{\frac{7}{2}} + 2 \, A a \sqrt{x}"," ",0,"2/13*B*b*x^(13/2) + 2/7*(B*a + A*b)*x^(7/2) + 2*A*a*sqrt(x)","A",0
136,1,27,0,0.460822," ","integrate((b*x^3+a)*(B*x^3+A)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{11} \, B b x^{\frac{11}{2}} + \frac{2}{5} \, {\left(B a + A b\right)} x^{\frac{5}{2}} - \frac{2 \, A a}{\sqrt{x}}"," ",0,"2/11*B*b*x^(11/2) + 2/5*(B*a + A*b)*x^(5/2) - 2*A*a/sqrt(x)","A",0
137,1,27,0,0.482390," ","integrate((b*x^3+a)*(B*x^3+A)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{9} \, B b x^{\frac{9}{2}} + \frac{2}{3} \, {\left(B a + A b\right)} x^{\frac{3}{2}} - \frac{2 \, A a}{3 \, x^{\frac{3}{2}}}"," ",0,"2/9*B*b*x^(9/2) + 2/3*(B*a + A*b)*x^(3/2) - 2/3*A*a/x^(3/2)","A",0
138,1,27,0,0.452548," ","integrate((b*x^3+a)*(B*x^3+A)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{7} \, B b x^{\frac{7}{2}} + 2 \, {\left(B a + A b\right)} \sqrt{x} - \frac{2 \, A a}{5 \, x^{\frac{5}{2}}}"," ",0,"2/7*B*b*x^(7/2) + 2*(B*a + A*b)*sqrt(x) - 2/5*A*a/x^(5/2)","A",0
139,1,51,0,0.557566," ","integrate(x^(7/2)*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{27} \, B b^{2} x^{\frac{27}{2}} + \frac{2}{21} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{21}{2}} + \frac{2}{15} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{15}{2}} + \frac{2}{9} \, A a^{2} x^{\frac{9}{2}}"," ",0,"2/27*B*b^2*x^(27/2) + 2/21*(2*B*a*b + A*b^2)*x^(21/2) + 2/15*(B*a^2 + 2*A*a*b)*x^(15/2) + 2/9*A*a^2*x^(9/2)","A",0
140,1,51,0,0.544188," ","integrate(x^(5/2)*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{25} \, B b^{2} x^{\frac{25}{2}} + \frac{2}{19} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{19}{2}} + \frac{2}{13} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{13}{2}} + \frac{2}{7} \, A a^{2} x^{\frac{7}{2}}"," ",0,"2/25*B*b^2*x^(25/2) + 2/19*(2*B*a*b + A*b^2)*x^(19/2) + 2/13*(B*a^2 + 2*A*a*b)*x^(13/2) + 2/7*A*a^2*x^(7/2)","A",0
141,1,51,0,0.498922," ","integrate(x^(3/2)*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{23} \, B b^{2} x^{\frac{23}{2}} + \frac{2}{17} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{17}{2}} + \frac{2}{11} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{11}{2}} + \frac{2}{5} \, A a^{2} x^{\frac{5}{2}}"," ",0,"2/23*B*b^2*x^(23/2) + 2/17*(2*B*a*b + A*b^2)*x^(17/2) + 2/11*(B*a^2 + 2*A*a*b)*x^(11/2) + 2/5*A*a^2*x^(5/2)","A",0
142,1,51,0,0.537462," ","integrate((b*x^3+a)^2*(B*x^3+A)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{21} \, B b^{2} x^{\frac{21}{2}} + \frac{2}{15} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{15}{2}} + \frac{2}{9} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{9}{2}} + \frac{2}{3} \, A a^{2} x^{\frac{3}{2}}"," ",0,"2/21*B*b^2*x^(21/2) + 2/15*(2*B*a*b + A*b^2)*x^(15/2) + 2/9*(B*a^2 + 2*A*a*b)*x^(9/2) + 2/3*A*a^2*x^(3/2)","A",0
143,1,51,0,0.511670," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{19} \, B b^{2} x^{\frac{19}{2}} + \frac{2}{13} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{13}{2}} + \frac{2}{7} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{7}{2}} + 2 \, A a^{2} \sqrt{x}"," ",0,"2/19*B*b^2*x^(19/2) + 2/13*(2*B*a*b + A*b^2)*x^(13/2) + 2/7*(B*a^2 + 2*A*a*b)*x^(7/2) + 2*A*a^2*sqrt(x)","A",0
144,1,51,0,0.538913," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{17} \, B b^{2} x^{\frac{17}{2}} + \frac{2}{11} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{11}{2}} + \frac{2}{5} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{5}{2}} - \frac{2 \, A a^{2}}{\sqrt{x}}"," ",0,"2/17*B*b^2*x^(17/2) + 2/11*(2*B*a*b + A*b^2)*x^(11/2) + 2/5*(B*a^2 + 2*A*a*b)*x^(5/2) - 2*A*a^2/sqrt(x)","A",0
145,1,51,0,0.509902," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{15} \, B b^{2} x^{\frac{15}{2}} + \frac{2}{9} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{9}{2}} + \frac{2}{3} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{3}{2}} - \frac{2 \, A a^{2}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/15*B*b^2*x^(15/2) + 2/9*(2*B*a*b + A*b^2)*x^(9/2) + 2/3*(B*a^2 + 2*A*a*b)*x^(3/2) - 2/3*A*a^2/x^(3/2)","A",0
146,1,51,0,0.458473," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{13} \, B b^{2} x^{\frac{13}{2}} + \frac{2}{7} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{7}{2}} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} \sqrt{x} - \frac{2 \, A a^{2}}{5 \, x^{\frac{5}{2}}}"," ",0,"2/13*B*b^2*x^(13/2) + 2/7*(2*B*a*b + A*b^2)*x^(7/2) + 2*(B*a^2 + 2*A*a*b)*sqrt(x) - 2/5*A*a^2/x^(5/2)","A",0
147,1,73,0,0.568060," ","integrate(x^(7/2)*(b*x^3+a)^3*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{33} \, B b^{3} x^{\frac{33}{2}} + \frac{2}{27} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{27}{2}} + \frac{2}{7} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{21}{2}} + \frac{2}{9} \, A a^{3} x^{\frac{9}{2}} + \frac{2}{15} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{15}{2}}"," ",0,"2/33*B*b^3*x^(33/2) + 2/27*(3*B*a*b^2 + A*b^3)*x^(27/2) + 2/7*(B*a^2*b + A*a*b^2)*x^(21/2) + 2/9*A*a^3*x^(9/2) + 2/15*(B*a^3 + 3*A*a^2*b)*x^(15/2)","A",0
148,1,73,0,0.504377," ","integrate(x^(5/2)*(b*x^3+a)^3*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{31} \, B b^{3} x^{\frac{31}{2}} + \frac{2}{25} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{25}{2}} + \frac{6}{19} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{19}{2}} + \frac{2}{7} \, A a^{3} x^{\frac{7}{2}} + \frac{2}{13} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{13}{2}}"," ",0,"2/31*B*b^3*x^(31/2) + 2/25*(3*B*a*b^2 + A*b^3)*x^(25/2) + 6/19*(B*a^2*b + A*a*b^2)*x^(19/2) + 2/7*A*a^3*x^(7/2) + 2/13*(B*a^3 + 3*A*a^2*b)*x^(13/2)","A",0
149,1,73,0,0.480645," ","integrate(x^(3/2)*(b*x^3+a)^3*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{29} \, B b^{3} x^{\frac{29}{2}} + \frac{2}{23} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{23}{2}} + \frac{6}{17} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{17}{2}} + \frac{2}{5} \, A a^{3} x^{\frac{5}{2}} + \frac{2}{11} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{11}{2}}"," ",0,"2/29*B*b^3*x^(29/2) + 2/23*(3*B*a*b^2 + A*b^3)*x^(23/2) + 6/17*(B*a^2*b + A*a*b^2)*x^(17/2) + 2/5*A*a^3*x^(5/2) + 2/11*(B*a^3 + 3*A*a^2*b)*x^(11/2)","A",0
150,1,73,0,0.672862," ","integrate((b*x^3+a)^3*(B*x^3+A)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{27} \, B b^{3} x^{\frac{27}{2}} + \frac{2}{21} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{21}{2}} + \frac{2}{5} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{15}{2}} + \frac{2}{3} \, A a^{3} x^{\frac{3}{2}} + \frac{2}{9} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{9}{2}}"," ",0,"2/27*B*b^3*x^(27/2) + 2/21*(3*B*a*b^2 + A*b^3)*x^(21/2) + 2/5*(B*a^2*b + A*a*b^2)*x^(15/2) + 2/3*A*a^3*x^(3/2) + 2/9*(B*a^3 + 3*A*a^2*b)*x^(9/2)","A",0
151,1,73,0,0.557333," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{25} \, B b^{3} x^{\frac{25}{2}} + \frac{2}{19} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{19}{2}} + \frac{6}{13} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{13}{2}} + 2 \, A a^{3} \sqrt{x} + \frac{2}{7} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{7}{2}}"," ",0,"2/25*B*b^3*x^(25/2) + 2/19*(3*B*a*b^2 + A*b^3)*x^(19/2) + 6/13*(B*a^2*b + A*a*b^2)*x^(13/2) + 2*A*a^3*sqrt(x) + 2/7*(B*a^3 + 3*A*a^2*b)*x^(7/2)","A",0
152,1,73,0,0.560884," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{23} \, B b^{3} x^{\frac{23}{2}} + \frac{2}{17} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{17}{2}} + \frac{6}{11} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{11}{2}} - \frac{2 \, A a^{3}}{\sqrt{x}} + \frac{2}{5} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{5}{2}}"," ",0,"2/23*B*b^3*x^(23/2) + 2/17*(3*B*a*b^2 + A*b^3)*x^(17/2) + 6/11*(B*a^2*b + A*a*b^2)*x^(11/2) - 2*A*a^3/sqrt(x) + 2/5*(B*a^3 + 3*A*a^2*b)*x^(5/2)","A",0
153,1,73,0,0.640677," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{21} \, B b^{3} x^{\frac{21}{2}} + \frac{2}{15} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{15}{2}} + \frac{2}{3} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{9}{2}} - \frac{2 \, A a^{3}}{3 \, x^{\frac{3}{2}}} + \frac{2}{3} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{3}{2}}"," ",0,"2/21*B*b^3*x^(21/2) + 2/15*(3*B*a*b^2 + A*b^3)*x^(15/2) + 2/3*(B*a^2*b + A*a*b^2)*x^(9/2) - 2/3*A*a^3/x^(3/2) + 2/3*(B*a^3 + 3*A*a^2*b)*x^(3/2)","A",0
154,1,73,0,0.549215," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{19} \, B b^{3} x^{\frac{19}{2}} + \frac{2}{13} \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{\frac{13}{2}} + \frac{6}{7} \, {\left(B a^{2} b + A a b^{2}\right)} x^{\frac{7}{2}} - \frac{2 \, A a^{3}}{5 \, x^{\frac{5}{2}}} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} \sqrt{x}"," ",0,"2/19*B*b^3*x^(19/2) + 2/13*(3*B*a*b^2 + A*b^3)*x^(13/2) + 6/7*(B*a^2*b + A*a*b^2)*x^(7/2) - 2/5*A*a^3/x^(5/2) + 2*(B*a^3 + 3*A*a^2*b)*sqrt(x)","A",0
155,1,58,0,1.316049," ","integrate(x^(7/2)*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{2 \, {\left(B a^{2} - A a b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} b^{2}} + \frac{2 \, {\left(B b x^{\frac{9}{2}} - 3 \, {\left(B a - A b\right)} x^{\frac{3}{2}}\right)}}{9 \, b^{2}}"," ",0,"2/3*(B*a^2 - A*a*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*b^2) + 2/9*(B*b*x^(9/2) - 3*(B*a - A*b)*x^(3/2))/b^2","A",0
156,1,295,0,1.173434," ","integrate(x^(5/2)*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{{\left(\frac{\sqrt{3} {\left(B a - A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(B a - A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(B a b^{\frac{1}{3}} - A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)} a}{6 \, b^{2}} + \frac{2 \, {\left(B b x^{\frac{7}{2}} - 7 \, {\left(B a - A b\right)} \sqrt{x}\right)}}{7 \, b^{2}}"," ",0,"1/6*(sqrt(3)*(B*a - A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(B*a - A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(B*a*b^(1/3) - A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))*a/b^2 + 2/7*(B*b*x^(7/2) - 7*(B*a - A*b)*sqrt(x))/b^2","A",0
157,1,212,0,1.138807," ","integrate(x^(3/2)*(B*x^3+A)/(b*x^3+a),x, algorithm=""maxima"")","\frac{2 \, B x^{\frac{5}{2}}}{5 \, b} + \frac{{\left(B a - A b\right)} {\left(\frac{\sqrt{3} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{6 \, b}"," ",0,"2/5*B*x^(5/2)/b + 1/6*(B*a - A*b)*(sqrt(3)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 2*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 4*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/b","A",0
158,1,39,0,1.205687," ","integrate((B*x^3+A)*x^(1/2)/(b*x^3+a),x, algorithm=""maxima"")","\frac{2 \, B x^{\frac{3}{2}}}{3 \, b} - \frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} b}"," ",0,"2/3*B*x^(3/2)/b - 2/3*(B*a - A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*b)","A",0
159,1,278,0,1.424029," ","integrate((B*x^3+A)/(b*x^3+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, B \sqrt{x}}{b} - \frac{\frac{\sqrt{3} {\left(B a - A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(B a - A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(B a b^{\frac{1}{3}} - A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{6 \, b}"," ",0,"2*B*sqrt(x)/b - 1/6*(sqrt(3)*(B*a - A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(B*a - A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(B*a*b^(1/3) - A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/b","A",0
160,1,212,0,1.342947," ","integrate((B*x^3+A)/x^(3/2)/(b*x^3+a),x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} {\left(\frac{\sqrt{3} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{6 \, a} - \frac{2 \, A}{a \sqrt{x}}"," ",0,"-1/6*(B*a - A*b)*(sqrt(3)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 2*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 4*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/a - 2*A/(a*sqrt(x))","A",0
161,1,39,0,1.399558," ","integrate((B*x^3+A)/x^(5/2)/(b*x^3+a),x, algorithm=""maxima"")","\frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} a} - \frac{2 \, A}{3 \, a x^{\frac{3}{2}}}"," ",0,"2/3*(B*a - A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a) - 2/3*A/(a*x^(3/2))","A",0
162,1,278,0,1.424021," ","integrate((B*x^3+A)/x^(7/2)/(b*x^3+a),x, algorithm=""maxima"")","\frac{\frac{\sqrt{3} {\left(B a - A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(B a - A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(B a b^{\frac{1}{3}} - A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{6 \, a} - \frac{2 \, A}{5 \, a x^{\frac{5}{2}}}"," ",0,"1/6*(sqrt(3)*(B*a - A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(B*a - A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(B*a*b^(1/3) - A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/a - 2/5*A/(a*x^(5/2))","A",0
163,1,68,0,1.238595," ","integrate(x^(7/2)*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - A b\right)} x^{\frac{3}{2}}}{3 \, {\left(b^{3} x^{3} + a b^{2}\right)}} + \frac{2 \, B x^{\frac{3}{2}}}{3 \, b^{2}} - \frac{{\left(3 \, B a - A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} b^{2}}"," ",0,"1/3*(B*a - A*b)*x^(3/2)/(b^3*x^3 + a*b^2) + 2/3*B*x^(3/2)/b^2 - 1/3*(3*B*a - A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
164,1,311,0,1.354766," ","integrate(x^(5/2)*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - A b\right)} \sqrt{x}}{3 \, {\left(b^{3} x^{3} + a b^{2}\right)}} + \frac{2 \, B \sqrt{x}}{b^{2}} - \frac{\frac{\sqrt{3} {\left(7 \, B a - A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(7 \, B a - A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(7 \, B a b^{\frac{1}{3}} - A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(7 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(7 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} - A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{36 \, b^{2}}"," ",0,"1/3*(B*a - A*b)*sqrt(x)/(b^3*x^3 + a*b^2) + 2*B*sqrt(x)/b^2 - 1/36*(sqrt(3)*(7*B*a - A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(7*B*a - A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(7*B*a*b^(1/3) - A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(7*B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(7*B*a^(4/3)*b^(1/3) - A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/b^2","A",0
165,1,235,0,1.469903," ","integrate(x^(3/2)*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} x^{\frac{5}{2}}}{3 \, {\left(a b^{2} x^{3} + a^{2} b\right)}} - \frac{{\left(5 \, B a + A b\right)} {\left(\frac{\sqrt{3} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{36 \, a b}"," ",0,"-1/3*(B*a - A*b)*x^(5/2)/(a*b^2*x^3 + a^2*b) - 1/36*(5*B*a + A*b)*(sqrt(3)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 2*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 4*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/(a*b)","A",0
166,1,61,0,1.399484," ","integrate((B*x^3+A)*x^(1/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} x^{\frac{3}{2}}}{3 \, {\left(a b^{2} x^{3} + a^{2} b\right)}} + \frac{{\left(B a + A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} a b}"," ",0,"-1/3*(B*a - A*b)*x^(3/2)/(a*b^2*x^3 + a^2*b) + 1/3*(B*a + A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a*b)","A",0
167,1,301,0,1.203182," ","integrate((B*x^3+A)/(b*x^3+a)^2/x^(1/2),x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} \sqrt{x}}{3 \, {\left(a b^{2} x^{3} + a^{2} b\right)}} + \frac{\frac{\sqrt{3} {\left(B a + 5 \, A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(B a + 5 \, A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(B a b^{\frac{1}{3}} + 5 \, A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} + 5 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} + 5 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{36 \, a b}"," ",0,"-1/3*(B*a - A*b)*sqrt(x)/(a*b^2*x^3 + a^2*b) + 1/36*(sqrt(3)*(B*a + 5*A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(B*a + 5*A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(B*a*b^(1/3) + 5*A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) + 5*A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) + 5*A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/(a*b)","A",0
168,1,240,0,1.158799," ","integrate((B*x^3+A)/x^(3/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - 7 \, A b\right)} x^{3} - 6 \, A a}{3 \, {\left(a^{2} b x^{\frac{7}{2}} + a^{3} \sqrt{x}\right)}} - \frac{{\left(B a - 7 \, A b\right)} {\left(\frac{\sqrt{3} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{36 \, a^{2}}"," ",0,"1/3*((B*a - 7*A*b)*x^3 - 6*A*a)/(a^2*b*x^(7/2) + a^3*sqrt(x)) - 1/36*(B*a - 7*A*b)*(sqrt(3)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 2*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 4*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/a^2","A",0
169,1,67,0,1.187071," ","integrate((B*x^3+A)/x^(5/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(B a - 3 \, A b\right)} x^{3} - 2 \, A a}{3 \, {\left(a^{2} b x^{\frac{9}{2}} + a^{3} x^{\frac{3}{2}}\right)}} + \frac{{\left(B a - 3 \, A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} a^{2}}"," ",0,"1/3*((B*a - 3*A*b)*x^3 - 2*A*a)/(a^2*b*x^(9/2) + a^3*x^(3/2)) + 1/3*(B*a - 3*A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
170,1,312,0,1.192594," ","integrate((B*x^3+A)/x^(7/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(5 \, B a - 11 \, A b\right)} x^{3} - 6 \, A a}{15 \, {\left(a^{2} b x^{\frac{11}{2}} + a^{3} x^{\frac{5}{2}}\right)}} + \frac{\frac{\sqrt{3} {\left(5 \, B a - 11 \, A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(5 \, B a - 11 \, A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(5 \, B a b^{\frac{1}{3}} - 11 \, A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(5 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} - 11 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(5 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} - 11 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{36 \, a^{2}}"," ",0,"1/15*((5*B*a - 11*A*b)*x^3 - 6*A*a)/(a^2*b*x^(11/2) + a^3*x^(5/2)) + 1/36*(sqrt(3)*(5*B*a - 11*A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(5*B*a - 11*A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(5*B*a*b^(1/3) - 11*A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(5*B*a^(4/3)*b^(1/3) - 11*A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(5*B*a^(4/3)*b^(1/3) - 11*A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/a^2","A",0
171,1,96,0,1.429610," ","integrate(x^(7/2)*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, B a b - A b^{2}\right)} x^{\frac{9}{2}} + {\left(3 \, B a^{2} + A a b\right)} x^{\frac{3}{2}}}{12 \, {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)}} + \frac{{\left(3 \, B a + A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{12 \, \sqrt{a b} a b^{2}}"," ",0,"-1/12*((5*B*a*b - A*b^2)*x^(9/2) + (3*B*a^2 + A*a*b)*x^(3/2))/(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2) + 1/12*(3*B*a + A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a*b^2)","A",0
172,1,341,0,1.395971," ","integrate(x^(5/2)*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, B a b - A b^{2}\right)} x^{\frac{7}{2}} + {\left(7 \, B a^{2} + 5 \, A a b\right)} \sqrt{x}}{36 \, {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)}} + \frac{\frac{\sqrt{3} {\left(7 \, B a + 5 \, A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(7 \, B a + 5 \, A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(7 \, B a b^{\frac{1}{3}} + 5 \, A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(7 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} + 5 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(7 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} + 5 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{432 \, a b^{2}}"," ",0,"-1/36*((13*B*a*b - A*b^2)*x^(7/2) + (7*B*a^2 + 5*A*a*b)*sqrt(x))/(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2) + 1/432*(sqrt(3)*(7*B*a + 5*A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(7*B*a + 5*A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(7*B*a*b^(1/3) + 5*A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(7*B*a^(4/3)*b^(1/3) + 5*A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(7*B*a^(4/3)*b^(1/3) + 5*A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/(a*b^2)","A",0
173,1,271,0,1.226276," ","integrate(x^(3/2)*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(5 \, B a b + 7 \, A b^{2}\right)} x^{\frac{11}{2}} - {\left(B a^{2} - 13 \, A a b\right)} x^{\frac{5}{2}}}{36 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}} - \frac{{\left(5 \, B a + 7 \, A b\right)} {\left(\frac{\sqrt{3} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{432 \, a^{2} b}"," ",0,"1/36*((5*B*a*b + 7*A*b^2)*x^(11/2) - (B*a^2 - 13*A*a*b)*x^(5/2))/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b) - 1/432*(5*B*a + 7*A*b)*(sqrt(3)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 2*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 4*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/(a^2*b)","A",0
174,1,96,0,1.272888," ","integrate((B*x^3+A)*x^(1/2)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(B a b + 3 \, A b^{2}\right)} x^{\frac{9}{2}} - {\left(B a^{2} - 5 \, A a b\right)} x^{\frac{3}{2}}}{12 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}} + \frac{{\left(B a + 3 \, A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{12 \, \sqrt{a b} a^{2} b}"," ",0,"1/12*((B*a*b + 3*A*b^2)*x^(9/2) - (B*a^2 - 5*A*a*b)*x^(3/2))/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b) + 1/12*(B*a + 3*A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a^2*b)","A",0
175,1,336,0,1.214846," ","integrate((B*x^3+A)/(b*x^3+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{{\left(B a b + 11 \, A b^{2}\right)} x^{\frac{7}{2}} - {\left(5 \, B a^{2} - 17 \, A a b\right)} \sqrt{x}}{36 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}} + \frac{5 \, {\left(\frac{\sqrt{3} {\left(B a + 11 \, A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(B a + 11 \, A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(B a b^{\frac{1}{3}} + 11 \, A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} + 11 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(B a^{\frac{4}{3}} b^{\frac{1}{3}} + 11 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{432 \, a^{2} b}"," ",0,"1/36*((B*a*b + 11*A*b^2)*x^(7/2) - (5*B*a^2 - 17*A*a*b)*sqrt(x))/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b) + 5/432*(sqrt(3)*(B*a + 11*A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(B*a + 11*A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(B*a*b^(1/3) + 11*A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) + 11*A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(B*a^(4/3)*b^(1/3) + 11*A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/(a^2*b)","A",0
176,1,273,0,1.289307," ","integrate((B*x^3+A)/x^(3/2)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{7 \, {\left(B a b - 13 \, A b^{2}\right)} x^{6} + 13 \, {\left(B a^{2} - 13 \, A a b\right)} x^{3} - 72 \, A a^{2}}{36 \, {\left(a^{3} b^{2} x^{\frac{13}{2}} + 2 \, a^{4} b x^{\frac{7}{2}} + a^{5} \sqrt{x}\right)}} - \frac{7 \, {\left(B a - 13 \, A b\right)} {\left(\frac{\sqrt{3} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{432 \, a^{3}}"," ",0,"1/36*(7*(B*a*b - 13*A*b^2)*x^6 + 13*(B*a^2 - 13*A*a*b)*x^3 - 72*A*a^2)/(a^3*b^2*x^(13/2) + 2*a^4*b*x^(7/2) + a^5*sqrt(x)) - 7/432*(B*a - 13*A*b)*(sqrt(3)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 2*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 4*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/a^3","A",0
177,1,100,0,1.346465," ","integrate((B*x^3+A)/x^(5/2)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(B a b - 5 \, A b^{2}\right)} x^{6} + 5 \, {\left(B a^{2} - 5 \, A a b\right)} x^{3} - 8 \, A a^{2}}{12 \, {\left(a^{3} b^{2} x^{\frac{15}{2}} + 2 \, a^{4} b x^{\frac{9}{2}} + a^{5} x^{\frac{3}{2}}\right)}} + \frac{{\left(B a - 5 \, A b\right)} \arctan\left(\frac{b x^{\frac{3}{2}}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{3}}"," ",0,"1/12*(3*(B*a*b - 5*A*b^2)*x^6 + 5*(B*a^2 - 5*A*a*b)*x^3 - 8*A*a^2)/(a^3*b^2*x^(15/2) + 2*a^4*b*x^(9/2) + a^5*x^(3/2)) + 1/4*(B*a - 5*A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
178,1,346,0,1.341790," ","integrate((B*x^3+A)/x^(7/2)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{11 \, {\left(5 \, B a b - 17 \, A b^{2}\right)} x^{6} + 17 \, {\left(5 \, B a^{2} - 17 \, A a b\right)} x^{3} - 72 \, A a^{2}}{180 \, {\left(a^{3} b^{2} x^{\frac{17}{2}} + 2 \, a^{4} b x^{\frac{11}{2}} + a^{5} x^{\frac{5}{2}}\right)}} + \frac{11 \, {\left(\frac{\sqrt{3} {\left(5 \, B a - 17 \, A b\right)} \log\left(\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} {\left(5 \, B a - 17 \, A b\right)} \log\left(-\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} \sqrt{x} + b^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, {\left(5 \, B a b^{\frac{1}{3}} - 17 \, A b^{\frac{4}{3}}\right)} \arctan\left(\frac{b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(5 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} - 17 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} + 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, {\left(5 \, B a^{\frac{4}{3}} b^{\frac{1}{3}} - 17 \, A a^{\frac{1}{3}} b^{\frac{4}{3}}\right)} \arctan\left(-\frac{\sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} - 2 \, b^{\frac{1}{3}} \sqrt{x}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a b^{\frac{1}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{432 \, a^{3}}"," ",0,"1/180*(11*(5*B*a*b - 17*A*b^2)*x^6 + 17*(5*B*a^2 - 17*A*a*b)*x^3 - 72*A*a^2)/(a^3*b^2*x^(17/2) + 2*a^4*b*x^(11/2) + a^5*x^(5/2)) + 11/432*(sqrt(3)*(5*B*a - 17*A*b)*log(sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*(5*B*a - 17*A*b)*log(-sqrt(3)*a^(1/6)*b^(1/6)*sqrt(x) + b^(1/3)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*(5*B*a*b^(1/3) - 17*A*b^(4/3))*arctan(b^(1/3)*sqrt(x)/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(5*B*a^(4/3)*b^(1/3) - 17*A*a^(1/3)*b^(4/3))*arctan((sqrt(3)*a^(1/6)*b^(1/6) + 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))) + 2*(5*B*a^(4/3)*b^(1/3) - 17*A*a^(1/3)*b^(4/3))*arctan(-(sqrt(3)*a^(1/6)*b^(1/6) - 2*b^(1/3)*sqrt(x))/sqrt(a^(1/3)*b^(1/3)))/(a*b^(1/3)*sqrt(a^(1/3)*b^(1/3))))/a^3","A",0
179,1,118,0,0.617640," ","integrate(x^8*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2}{945} \, B {\left(\frac{35 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}}}{b^{4}} - \frac{135 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} a}{b^{4}} + \frac{189 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{2}}{b^{4}} - \frac{105 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{3}}{b^{4}}\right)} + \frac{2}{315} \, A {\left(\frac{15 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{b^{3}} - \frac{42 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3}} + \frac{35 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3}}\right)}"," ",0,"2/945*B*(35*(b*x^3 + a)^(9/2)/b^4 - 135*(b*x^3 + a)^(7/2)*a/b^4 + 189*(b*x^3 + a)^(5/2)*a^2/b^4 - 105*(b*x^3 + a)^(3/2)*a^3/b^4) + 2/315*A*(15*(b*x^3 + a)^(7/2)/b^3 - 42*(b*x^3 + a)^(5/2)*a/b^3 + 35*(b*x^3 + a)^(3/2)*a^2/b^3)","A",0
180,1,84,0,0.506663," ","integrate(x^5*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2}{315} \, B {\left(\frac{15 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{b^{3}} - \frac{42 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3}} + \frac{35 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3}}\right)} + \frac{2}{45} \, A {\left(\frac{3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)}"," ",0,"2/315*B*(15*(b*x^3 + a)^(7/2)/b^3 - 42*(b*x^3 + a)^(5/2)*a/b^3 + 35*(b*x^3 + a)^(3/2)*a^2/b^3) + 2/45*A*(3*(b*x^3 + a)^(5/2)/b^2 - 5*(b*x^3 + a)^(3/2)*a/b^2)","A",0
181,1,49,0,0.590502," ","integrate(x^2*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2}{45} \, B {\left(\frac{3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A}{9 \, b}"," ",0,"2/45*B*(3*(b*x^3 + a)^(5/2)/b^2 - 5*(b*x^3 + a)^(3/2)*a/b^2) + 2/9*(b*x^3 + a)^(3/2)*A/b","A",0
182,1,67,0,1.204488," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\sqrt{a} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + 2 \, \sqrt{b x^{3} + a}\right)} A + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B}{9 \, b}"," ",0,"1/3*(sqrt(a)*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 2*sqrt(b*x^3 + a))*A + 2/9*(b*x^3 + a)^(3/2)*B/b","A",0
183,1,107,0,1.263741," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{\sqrt{a}} - \frac{2 \, \sqrt{b x^{3} + a}}{x^{3}}\right)} A + \frac{1}{3} \, {\left(\sqrt{a} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + 2 \, \sqrt{b x^{3} + a}\right)} B"," ",0,"1/6*(b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a) - 2*sqrt(b*x^3 + a)/x^3)*A + 1/3*(sqrt(a)*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 2*sqrt(b*x^3 + a))*B","A",0
184,1,158,0,1.317179," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{24} \, {\left(\frac{b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2 \, {\left({\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{b x^{3} + a} a b^{2}\right)}}{{\left(b x^{3} + a\right)}^{2} a - 2 \, {\left(b x^{3} + a\right)} a^{2} + a^{3}}\right)} A + \frac{1}{6} \, {\left(\frac{b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{\sqrt{a}} - \frac{2 \, \sqrt{b x^{3} + a}}{x^{3}}\right)} B"," ",0,"-1/24*(b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2) + 2*((b*x^3 + a)^(3/2)*b^2 + sqrt(b*x^3 + a)*a*b^2)/((b*x^3 + a)^2*a - 2*(b*x^3 + a)*a^2 + a^3))*A + 1/6*(b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a) - 2*sqrt(b*x^3 + a)/x^3)*B","B",0
185,0,0,0,0.000000," ","integrate(x^3*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} x^{3}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*x^3, x)","F",0
186,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a), x)","F",0
187,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{3}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^3, x)","F",0
188,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{6}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^6, x)","F",0
189,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^9,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{9}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^9, x)","F",0
190,0,0,0,0.000000," ","integrate(x^4*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} x^{4}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*x^4, x)","F",0
191,0,0,0,0.000000," ","integrate(x*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} x\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*x, x)","F",0
192,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^2, x)","F",0
193,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^5,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{5}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^5, x)","F",0
194,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{8}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^8, x)","F",0
195,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^11,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{11}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^11, x)","F",0
196,1,118,0,0.614567," ","integrate(x^8*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{945} \, {\left(\frac{35 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}}}{b^{3}} - \frac{90 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} a}{b^{3}} + \frac{63 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{2}}{b^{3}}\right)} A + \frac{2}{3465} \, {\left(\frac{105 \, {\left(b x^{3} + a\right)}^{\frac{11}{2}}}{b^{4}} - \frac{385 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}} a}{b^{4}} + \frac{495 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} a^{2}}{b^{4}} - \frac{231 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{3}}{b^{4}}\right)} B"," ",0,"2/945*(35*(b*x^3 + a)^(9/2)/b^3 - 90*(b*x^3 + a)^(7/2)*a/b^3 + 63*(b*x^3 + a)^(5/2)*a^2/b^3)*A + 2/3465*(105*(b*x^3 + a)^(11/2)/b^4 - 385*(b*x^3 + a)^(9/2)*a/b^4 + 495*(b*x^3 + a)^(7/2)*a^2/b^4 - 231*(b*x^3 + a)^(5/2)*a^3/b^4)*B","A",0
197,1,84,0,0.610172," ","integrate(x^5*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\frac{2}{105} \, {\left(\frac{5 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{b^{2}} - \frac{7 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{b^{2}}\right)} A + \frac{2}{945} \, {\left(\frac{35 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}}}{b^{3}} - \frac{90 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} a}{b^{3}} + \frac{63 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{2}}{b^{3}}\right)} B"," ",0,"2/105*(5*(b*x^3 + a)^(7/2)/b^2 - 7*(b*x^3 + a)^(5/2)*a/b^2)*A + 2/945*(35*(b*x^3 + a)^(9/2)/b^3 - 90*(b*x^3 + a)^(7/2)*a/b^3 + 63*(b*x^3 + a)^(5/2)*a^2/b^3)*B","A",0
198,1,49,0,0.492533," ","integrate(x^2*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} A}{15 \, b} + \frac{2}{105} \, {\left(\frac{5 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{b^{2}} - \frac{7 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{b^{2}}\right)} B"," ",0,"2/15*(b*x^3 + a)^(5/2)*A/b + 2/105*(5*(b*x^3 + a)^(7/2)/b^2 - 7*(b*x^3 + a)^(5/2)*a/b^2)*B","A",0
199,1,80,0,1.257273," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x,x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B}{15 \, b} + \frac{1}{9} \, {\left(3 \, a^{\frac{3}{2}} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + 2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} + 6 \, \sqrt{b x^{3} + a} a\right)} A"," ",0,"2/15*(b*x^3 + a)^(5/2)*B/b + 1/9*(3*a^(3/2)*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 2*(b*x^3 + a)^(3/2) + 6*sqrt(b*x^3 + a)*a)*A","A",0
200,1,134,0,1.438209," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(3 \, \sqrt{a} b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + 4 \, \sqrt{b x^{3} + a} b - \frac{2 \, \sqrt{b x^{3} + a} a}{x^{3}}\right)} A + \frac{1}{9} \, {\left(3 \, a^{\frac{3}{2}} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + 2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} + 6 \, \sqrt{b x^{3} + a} a\right)} B"," ",0,"1/6*(3*sqrt(a)*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 4*sqrt(b*x^3 + a)*b - 2*sqrt(b*x^3 + a)*a/x^3)*A + 1/9*(3*a^(3/2)*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 2*(b*x^3 + a)^(3/2) + 6*sqrt(b*x^3 + a)*a)*B","A",0
201,1,171,0,1.306257," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^7,x, algorithm=""maxima"")","\frac{1}{24} \, {\left(\frac{3 \, b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{\sqrt{a}} - \frac{2 \, {\left(5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2} - 3 \, \sqrt{b x^{3} + a} a b^{2}\right)}}{{\left(b x^{3} + a\right)}^{2} - 2 \, {\left(b x^{3} + a\right)} a + a^{2}}\right)} A + \frac{1}{6} \, {\left(3 \, \sqrt{a} b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + 4 \, \sqrt{b x^{3} + a} b - \frac{2 \, \sqrt{b x^{3} + a} a}{x^{3}}\right)} B"," ",0,"1/24*(3*b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a) - 2*(5*(b*x^3 + a)^(3/2)*b^2 - 3*sqrt(b*x^3 + a)*a*b^2)/((b*x^3 + a)^2 - 2*(b*x^3 + a)*a + a^2))*A + 1/6*(3*sqrt(a)*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 4*sqrt(b*x^3 + a)*b - 2*sqrt(b*x^3 + a)*a/x^3)*B","A",0
202,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{3}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*x^3, x)","F",0
203,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2), x)","F",0
204,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/x^3, x)","F",0
205,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{6}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/x^6, x)","F",0
206,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^9,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{9}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/x^9, x)","F",0
207,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{4}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*x^4, x)","F",0
208,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*x, x)","F",0
209,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/x^2, x)","F",0
210,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^5,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{5}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/x^5, x)","F",0
211,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{8}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/x^8, x)","F",0
212,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^11,x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{11}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/x^11, x)","F",0
213,1,118,0,0.588302," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2}{105} \, B {\left(\frac{5 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{b^{4}} - \frac{21 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{b^{4}} + \frac{35 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{4}} - \frac{35 \, \sqrt{b x^{3} + a} a^{3}}{b^{4}}\right)} + \frac{2}{45} \, A {\left(\frac{3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{b^{3}} - \frac{10 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{b^{3}} + \frac{15 \, \sqrt{b x^{3} + a} a^{2}}{b^{3}}\right)}"," ",0,"2/105*B*(5*(b*x^3 + a)^(7/2)/b^4 - 21*(b*x^3 + a)^(5/2)*a/b^4 + 35*(b*x^3 + a)^(3/2)*a^2/b^4 - 35*sqrt(b*x^3 + a)*a^3/b^4) + 2/45*A*(3*(b*x^3 + a)^(5/2)/b^3 - 10*(b*x^3 + a)^(3/2)*a/b^3 + 15*sqrt(b*x^3 + a)*a^2/b^3)","A",0
214,1,83,0,0.450147," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2}{45} \, B {\left(\frac{3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{b^{3}} - \frac{10 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{b^{3}} + \frac{15 \, \sqrt{b x^{3} + a} a^{2}}{b^{3}}\right)} + \frac{2}{9} \, A {\left(\frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{b^{2}} - \frac{3 \, \sqrt{b x^{3} + a} a}{b^{2}}\right)}"," ",0,"2/45*B*(3*(b*x^3 + a)^(5/2)/b^3 - 10*(b*x^3 + a)^(3/2)*a/b^3 + 15*sqrt(b*x^3 + a)*a^2/b^3) + 2/9*A*((b*x^3 + a)^(3/2)/b^2 - 3*sqrt(b*x^3 + a)*a/b^2)","A",0
215,1,48,0,0.461786," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, B {\left(\frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{b^{2}} - \frac{3 \, \sqrt{b x^{3} + a} a}{b^{2}}\right)} + \frac{2 \, \sqrt{b x^{3} + a} A}{3 \, b}"," ",0,"2/9*B*((b*x^3 + a)^(3/2)/b^2 - 3*sqrt(b*x^3 + a)*a/b^2) + 2/3*sqrt(b*x^3 + a)*A/b","A",0
216,1,54,0,1.079512," ","integrate((B*x^3+A)/x/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{A \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{3 \, \sqrt{a}} + \frac{2 \, \sqrt{b x^{3} + a} B}{3 \, b}"," ",0,"1/3*A*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a) + 2/3*sqrt(b*x^3 + a)*B/b","A",0
217,1,109,0,1.171365," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, A {\left(\frac{2 \, \sqrt{b x^{3} + a} b}{{\left(b x^{3} + a\right)} a - a^{2}} + \frac{b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}}\right)} + \frac{B \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{3 \, \sqrt{a}}"," ",0,"-1/6*A*(2*sqrt(b*x^3 + a)*b/((b*x^3 + a)*a - a^2) + b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2)) + 1/3*B*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a)","B",0
218,1,178,0,1.198790," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, B {\left(\frac{2 \, \sqrt{b x^{3} + a} b}{{\left(b x^{3} + a\right)} a - a^{2}} + \frac{b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}}\right)} + \frac{1}{24} \, A {\left(\frac{3 \, b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{b x^{3} + a} a b^{2}\right)}}{{\left(b x^{3} + a\right)}^{2} a^{2} - 2 \, {\left(b x^{3} + a\right)} a^{3} + a^{4}}\right)}"," ",0,"-1/6*B*(2*sqrt(b*x^3 + a)*b/((b*x^3 + a)*a - a^2) + b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2)) + 1/24*A*(3*b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2) + 2*(3*(b*x^3 + a)^(3/2)*b^2 - 5*sqrt(b*x^3 + a)*a*b^2)/((b*x^3 + a)^2*a^2 - 2*(b*x^3 + a)*a^3 + a^4))","B",0
219,0,0,0,0.000000," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{3}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^3/sqrt(b*x^3 + a), x)","F",0
220,0,0,0,0.000000," ","integrate((B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)/sqrt(b*x^3 + a), x)","F",0
221,0,0,0,0.000000," ","integrate((B*x^3+A)/x^3/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} x^{3}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*x^3), x)","F",0
222,0,0,0,0.000000," ","integrate((B*x^3+A)/x^6/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} x^{6}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*x^6), x)","F",0
223,0,0,0,0.000000," ","integrate(x^4*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{4}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^4/sqrt(b*x^3 + a), x)","F",0
224,0,0,0,0.000000," ","integrate(x*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x/sqrt(b*x^3 + a), x)","F",0
225,0,0,0,0.000000," ","integrate((B*x^3+A)/x^2/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} x^{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*x^2), x)","F",0
226,0,0,0,0.000000," ","integrate((B*x^3+A)/x^5/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} x^{5}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*x^5), x)","F",0
227,0,0,0,0.000000," ","integrate((B*x^3+A)/x^8/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} x^{8}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*x^8), x)","F",0
228,1,116,0,0.589620," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2}{15} \, B {\left(\frac{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}{b^{4}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{b^{4}} + \frac{15 \, \sqrt{b x^{3} + a} a^{2}}{b^{4}} + \frac{5 \, a^{3}}{\sqrt{b x^{3} + a} b^{4}}\right)} + \frac{2}{9} \, A {\left(\frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{b^{3}} - \frac{6 \, \sqrt{b x^{3} + a} a}{b^{3}} - \frac{3 \, a^{2}}{\sqrt{b x^{3} + a} b^{3}}\right)}"," ",0,"2/15*B*((b*x^3 + a)^(5/2)/b^4 - 5*(b*x^3 + a)^(3/2)*a/b^4 + 15*sqrt(b*x^3 + a)*a^2/b^4 + 5*a^3/(sqrt(b*x^3 + a)*b^4)) + 2/9*A*((b*x^3 + a)^(3/2)/b^3 - 6*sqrt(b*x^3 + a)*a/b^3 - 3*a^2/(sqrt(b*x^3 + a)*b^3))","A",0
229,1,81,0,0.648473," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2}{9} \, B {\left(\frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{b^{3}} - \frac{6 \, \sqrt{b x^{3} + a} a}{b^{3}} - \frac{3 \, a^{2}}{\sqrt{b x^{3} + a} b^{3}}\right)} + \frac{2}{3} \, A {\left(\frac{\sqrt{b x^{3} + a}}{b^{2}} + \frac{a}{\sqrt{b x^{3} + a} b^{2}}\right)}"," ",0,"2/9*B*((b*x^3 + a)^(3/2)/b^3 - 6*sqrt(b*x^3 + a)*a/b^3 - 3*a^2/(sqrt(b*x^3 + a)*b^3)) + 2/3*A*(sqrt(b*x^3 + a)/b^2 + a/(sqrt(b*x^3 + a)*b^2))","A",0
230,1,47,0,0.555619," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2}{3} \, B {\left(\frac{\sqrt{b x^{3} + a}}{b^{2}} + \frac{a}{\sqrt{b x^{3} + a} b^{2}}\right)} - \frac{2 \, A}{3 \, \sqrt{b x^{3} + a} b}"," ",0,"2/3*B*(sqrt(b*x^3 + a)/b^2 + a/(sqrt(b*x^3 + a)*b^2)) - 2/3*A/(sqrt(b*x^3 + a)*b)","A",0
231,1,70,0,1.351854," ","integrate((B*x^3+A)/x/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{1}{3} \, A {\left(\frac{\log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2}{\sqrt{b x^{3} + a} a}\right)} - \frac{2 \, B}{3 \, \sqrt{b x^{3} + a} b}"," ",0,"1/3*A*(log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2) + 2/(sqrt(b*x^3 + a)*a)) - 2/3*B/(sqrt(b*x^3 + a)*b)","A",0
232,1,144,0,1.387724," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","-\frac{1}{6} \, A {\left(\frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)} b - 2 \, a b\right)}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2} - \sqrt{b x^{3} + a} a^{3}} + \frac{3 \, b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}}}\right)} + \frac{1}{3} \, B {\left(\frac{\log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2}{\sqrt{b x^{3} + a} a}\right)}"," ",0,"-1/6*A*(2*(3*(b*x^3 + a)*b - 2*a*b)/((b*x^3 + a)^(3/2)*a^2 - sqrt(b*x^3 + a)*a^3) + 3*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2)) + 1/3*B*(log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2) + 2/(sqrt(b*x^3 + a)*a))","B",0
233,1,215,0,1.343099," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{1}{24} \, A {\left(\frac{2 \, {\left(15 \, {\left(b x^{3} + a\right)}^{2} b^{2} - 25 \, {\left(b x^{3} + a\right)} a b^{2} + 8 \, a^{2} b^{2}\right)}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{3} - 2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{4} + \sqrt{b x^{3} + a} a^{5}} + \frac{15 \, b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{7}{2}}}\right)} - \frac{1}{6} \, B {\left(\frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)} b - 2 \, a b\right)}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2} - \sqrt{b x^{3} + a} a^{3}} + \frac{3 \, b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}}}\right)}"," ",0,"1/24*A*(2*(15*(b*x^3 + a)^2*b^2 - 25*(b*x^3 + a)*a*b^2 + 8*a^2*b^2)/((b*x^3 + a)^(5/2)*a^3 - 2*(b*x^3 + a)^(3/2)*a^4 + sqrt(b*x^3 + a)*a^5) + 15*b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(7/2)) - 1/6*B*(2*(3*(b*x^3 + a)*b - 2*a*b)/((b*x^3 + a)^(3/2)*a^2 - sqrt(b*x^3 + a)*a^3) + 3*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2))","B",0
234,0,0,0,0.000000," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{6}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^6/(b*x^3 + a)^(3/2), x)","F",0
235,0,0,0,0.000000," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{3}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^3/(b*x^3 + a)^(3/2), x)","F",0
236,0,0,0,0.000000," ","integrate((B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(b*x^3 + a)^(3/2), x)","F",0
237,0,0,0,0.000000," ","integrate((B*x^3+A)/x^3/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*x^3), x)","F",0
238,0,0,0,0.000000," ","integrate((B*x^3+A)/x^6/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*x^6), x)","F",0
239,0,0,0,0.000000," ","integrate(x^4*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{4}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^4/(b*x^3 + a)^(3/2), x)","F",0
240,0,0,0,0.000000," ","integrate(x*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x/(b*x^3 + a)^(3/2), x)","F",0
241,0,0,0,0.000000," ","integrate((B*x^3+A)/x^2/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*x^2), x)","F",0
242,0,0,0,0.000000," ","integrate((B*x^3+A)/x^5/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{5}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*x^5), x)","F",0
243,0,0,0,0.000000," ","integrate((B*x^3+A)/x^8/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{8}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*x^8), x)","F",0
244,1,116,0,0.592434," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\frac{2}{9} \, B {\left(\frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{b^{4}} - \frac{9 \, \sqrt{b x^{3} + a} a}{b^{4}} - \frac{9 \, a^{2}}{\sqrt{b x^{3} + a} b^{4}} + \frac{a^{3}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{4}}\right)} + \frac{2}{9} \, A {\left(\frac{3 \, \sqrt{b x^{3} + a}}{b^{3}} + \frac{6 \, a}{\sqrt{b x^{3} + a} b^{3}} - \frac{a^{2}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{3}}\right)}"," ",0,"2/9*B*((b*x^3 + a)^(3/2)/b^4 - 9*sqrt(b*x^3 + a)*a/b^4 - 9*a^2/(sqrt(b*x^3 + a)*b^4) + a^3/((b*x^3 + a)^(3/2)*b^4)) + 2/9*A*(3*sqrt(b*x^3 + a)/b^3 + 6*a/(sqrt(b*x^3 + a)*b^3) - a^2/((b*x^3 + a)^(3/2)*b^3))","A",0
245,1,84,0,0.487878," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\frac{2}{9} \, B {\left(\frac{3 \, \sqrt{b x^{3} + a}}{b^{3}} + \frac{6 \, a}{\sqrt{b x^{3} + a} b^{3}} - \frac{a^{2}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{3}}\right)} - \frac{2}{9} \, A {\left(\frac{3}{\sqrt{b x^{3} + a} b^{2}} - \frac{a}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2}}\right)}"," ",0,"2/9*B*(3*sqrt(b*x^3 + a)/b^3 + 6*a/(sqrt(b*x^3 + a)*b^3) - a^2/((b*x^3 + a)^(3/2)*b^3)) - 2/9*A*(3/(sqrt(b*x^3 + a)*b^2) - a/((b*x^3 + a)^(3/2)*b^2))","A",0
246,1,49,0,0.499202," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","-\frac{2}{9} \, B {\left(\frac{3}{\sqrt{b x^{3} + a} b^{2}} - \frac{a}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2}}\right)} - \frac{2 \, A}{9 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b}"," ",0,"-2/9*B*(3/(sqrt(b*x^3 + a)*b^2) - a/((b*x^3 + a)^(3/2)*b^2)) - 2/9*A/((b*x^3 + a)^(3/2)*b)","A",0
247,1,81,0,1.169061," ","integrate((B*x^3+A)/x/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\frac{1}{9} \, A {\left(\frac{3 \, \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, b x^{3} + 4 \, a\right)}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2}}\right)} - \frac{2 \, B}{9 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b}"," ",0,"1/9*A*(3*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2) + 2*(3*b*x^3 + 4*a)/((b*x^3 + a)^(3/2)*a^2)) - 2/9*B/((b*x^3 + a)^(3/2)*b)","A",0
248,1,170,0,1.253573," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","-\frac{1}{18} \, A {\left(\frac{2 \, {\left(15 \, {\left(b x^{3} + a\right)}^{2} b - 10 \, {\left(b x^{3} + a\right)} a b - 2 \, a^{2} b\right)}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{3} - {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{4}} + \frac{15 \, b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{7}{2}}}\right)} + \frac{1}{9} \, B {\left(\frac{3 \, \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, b x^{3} + 4 \, a\right)}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2}}\right)}"," ",0,"-1/18*A*(2*(15*(b*x^3 + a)^2*b - 10*(b*x^3 + a)*a*b - 2*a^2*b)/((b*x^3 + a)^(5/2)*a^3 - (b*x^3 + a)^(3/2)*a^4) + 15*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(7/2)) + 1/9*B*(3*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2) + 2*(3*b*x^3 + 4*a)/((b*x^3 + a)^(3/2)*a^2))","A",0
249,0,0,0,0.000000," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{6}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^6/(b*x^3 + a)^(5/2), x)","F",0
250,0,0,0,0.000000," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{3}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^3/(b*x^3 + a)^(5/2), x)","F",0
251,0,0,0,0.000000," ","integrate((B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(b*x^3 + a)^(5/2), x)","F",0
252,0,0,0,0.000000," ","integrate((B*x^3+A)/x^3/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(5/2)*x^3), x)","F",0
253,0,0,0,0.000000," ","integrate((B*x^3+A)/x^6/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} x^{6}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(5/2)*x^6), x)","F",0
254,0,0,0,0.000000," ","integrate(x^7*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{7}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^7/(b*x^3 + a)^(5/2), x)","F",0
255,0,0,0,0.000000," ","integrate(x^4*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x^{4}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x^4/(b*x^3 + a)^(5/2), x)","F",0
256,0,0,0,0.000000," ","integrate(x*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} x}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*x/(b*x^3 + a)^(5/2), x)","F",0
257,0,0,0,0.000000," ","integrate((B*x^3+A)/x^2/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(5/2)*x^2), x)","F",0
258,0,0,0,0.000000," ","integrate((B*x^3+A)/x^5/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} x^{5}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(5/2)*x^5), x)","F",0
259,1,69,0,1.153424," ","integrate(x^8*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(240 \, \sqrt{3} c^{\frac{5}{2}} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right) - 3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} + 25 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c - 240 \, \sqrt{d x^{3} + c} c^{2}\right)}}{45 \, d^{3}}"," ",0,"-2/45*(240*sqrt(3)*c^(5/2)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c)) - 3*(d*x^3 + c)^(5/2) + 25*(d*x^3 + c)^(3/2)*c - 240*sqrt(d*x^3 + c)*c^2)/d^3","A",0
260,1,53,0,1.298704," ","integrate(x^5*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""maxima"")","\frac{2 \, {\left(12 \, \sqrt{3} c^{\frac{3}{2}} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right) + {\left(d x^{3} + c\right)}^{\frac{3}{2}} - 12 \, \sqrt{d x^{3} + c} c\right)}}{9 \, d^{2}}"," ",0,"2/9*(12*sqrt(3)*c^(3/2)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c)) + (d*x^3 + c)^(3/2) - 12*sqrt(d*x^3 + c)*c)/d^2","A",0
261,1,42,0,1.208041," ","integrate(x^2*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(\sqrt{3} \sqrt{c} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right) - \sqrt{d x^{3} + c}\right)}}{3 \, d}"," ",0,"-2/3*(sqrt(3)*sqrt(c)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c)) - sqrt(d*x^3 + c))/d","A",0
262,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} + 4 \, c\right)} x}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 + 4*c)*x), x)","F",0
263,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^4/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} + 4 \, c\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 + 4*c)*x^4), x)","F",0
264,0,0,0,0.000000," ","integrate(x^4*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x^{4}}{d x^{3} + 4 \, c}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x^4/(d*x^3 + 4*c), x)","F",0
265,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x}{d x^{3} + 4 \, c}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x/(d*x^3 + 4*c), x)","F",0
266,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^2/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} + 4 \, c\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 + 4*c)*x^2), x)","F",0
267,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x^{3}}{d x^{3} + 4 \, c}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x^3/(d*x^3 + 4*c), x)","F",0
268,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{d x^{3} + 4 \, c}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/(d*x^3 + 4*c), x)","F",0
269,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^3/(d*x^3+4*c),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} + 4 \, c\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 + 4*c)*x^3), x)","F",0
270,1,53,0,1.344915," ","integrate(x^8/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(16 \, \sqrt{3} c^{\frac{3}{2}} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right) + {\left(d x^{3} + c\right)}^{\frac{3}{2}} - 15 \, \sqrt{d x^{3} + c} c\right)}}{9 \, d^{3}}"," ",0,"2/9*(16*sqrt(3)*c^(3/2)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c)) + (d*x^3 + c)^(3/2) - 15*sqrt(d*x^3 + c)*c)/d^3","A",0
271,1,43,0,1.455374," ","integrate(x^5/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(4 \, \sqrt{3} \sqrt{c} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right) - 3 \, \sqrt{d x^{3} + c}\right)}}{9 \, d^{2}}"," ",0,"-2/9*(4*sqrt(3)*sqrt(c)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c)) - 3*sqrt(d*x^3 + c))/d^2","A",0
272,1,29,0,1.244342," ","integrate(x^2/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{9 \, \sqrt{c} d}"," ",0,"2/9*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/(sqrt(c)*d)","A",0
273,0,0,0,0.000000," ","integrate(1/x/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c} x}\,{d x}"," ",0,"integrate(1/((d*x^3 + 4*c)*sqrt(d*x^3 + c)*x), x)","F",0
274,0,0,0,0.000000," ","integrate(1/x^4/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((d*x^3 + 4*c)*sqrt(d*x^3 + c)*x^4), x)","F",0
275,0,0,0,0.000000," ","integrate(x^4/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x^4/((d*x^3 + 4*c)*sqrt(d*x^3 + c)), x)","F",0
276,0,0,0,0.000000," ","integrate(x/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x/((d*x^3 + 4*c)*sqrt(d*x^3 + c)), x)","F",0
277,0,0,0,0.000000," ","integrate(1/x^2/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((d*x^3 + 4*c)*sqrt(d*x^3 + c)*x^2), x)","F",0
278,0,0,0,0.000000," ","integrate(x^3/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x^3/((d*x^3 + 4*c)*sqrt(d*x^3 + c)), x)","F",0
279,0,0,0,0.000000," ","integrate(1/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(1/((d*x^3 + 4*c)*sqrt(d*x^3 + c)), x)","F",0
280,0,0,0,0.000000," ","integrate(1/x^3/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + 4 \, c\right)} \sqrt{d x^{3} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((d*x^3 + 4*c)*sqrt(d*x^3 + c)*x^3), x)","F",0
281,0,0,0,0.000000," ","integrate(x/(-x^3+4)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{{\left(x^{3} - 4\right)} \sqrt{-x^{3} + 1}}\,{d x}"," ",0,"-integrate(x/((x^3 - 4)*sqrt(-x^3 + 1)), x)","F",0
282,1,96,0,1.305910," ","integrate(x^11*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(26880 \, c^{\frac{7}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 5 \, {\left(d x^{3} + c\right)}^{\frac{7}{2}} + 42 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c + 665 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{2} + 17920 \, \sqrt{d x^{3} + c} c^{3}\right)}}{105 \, d^{4}}"," ",0,"-2/105*(26880*c^(7/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 5*(d*x^3 + c)^(7/2) + 42*(d*x^3 + c)^(5/2)*c + 665*(d*x^3 + c)^(3/2)*c^2 + 17920*sqrt(d*x^3 + c)*c^3)/d^4","A",0
283,1,82,0,1.209281," ","integrate(x^8*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(1440 \, c^{\frac{5}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} + 35 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c + 960 \, \sqrt{d x^{3} + c} c^{2}\right)}}{45 \, d^{3}}"," ",0,"-2/45*(1440*c^(5/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 3*(d*x^3 + c)^(5/2) + 35*(d*x^3 + c)^(3/2)*c + 960*sqrt(d*x^3 + c)*c^2)/d^3","A",0
284,1,66,0,1.304209," ","integrate(x^5*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(36 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + {\left(d x^{3} + c\right)}^{\frac{3}{2}} + 24 \, \sqrt{d x^{3} + c} c\right)}}{9 \, d^{2}}"," ",0,"-2/9*(36*c^(3/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + (d*x^3 + c)^(3/2) + 24*sqrt(d*x^3 + c)*c)/d^2","A",0
285,1,56,0,1.153642," ","integrate(x^2*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{3 \, \sqrt{c} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 2 \, \sqrt{d x^{3} + c}}{3 \, d}"," ",0,"-1/3*(3*sqrt(c)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 2*sqrt(d*x^3 + c))/d","A",0
286,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)} x}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)*x), x)","F",0
287,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^4/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)} x^{4}}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)*x^4), x)","F",0
288,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^7/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)} x^{7}}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)*x^7), x)","F",0
289,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c} x^{7}}{d x^{3} - 8 \, c}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)*x^7/(d*x^3 - 8*c), x)","F",0
290,0,0,0,0.000000," ","integrate(x^4*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c} x^{4}}{d x^{3} - 8 \, c}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)*x^4/(d*x^3 - 8*c), x)","F",0
291,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c} x}{d x^{3} - 8 \, c}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)*x/(d*x^3 - 8*c), x)","F",0
292,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^2/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)} x^{2}}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)*x^2), x)","F",0
293,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^5/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)} x^{5}}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)*x^5), x)","F",0
294,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^8/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)} x^{8}}\,{d x}"," ",0,"-integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)*x^8), x)","F",0
295,1,110,0,1.285052," ","integrate(x^11*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(2177280 \, c^{\frac{9}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 35 \, {\left(d x^{3} + c\right)}^{\frac{9}{2}} + 270 \, {\left(d x^{3} + c\right)}^{\frac{7}{2}} c + 3591 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c^{2} + 53760 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{3} + 1451520 \, \sqrt{d x^{3} + c} c^{4}\right)}}{945 \, d^{4}}"," ",0,"-2/945*(2177280*c^(9/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 35*(d*x^3 + c)^(9/2) + 270*(d*x^3 + c)^(7/2)*c + 3591*(d*x^3 + c)^(5/2)*c^2 + 53760*(d*x^3 + c)^(3/2)*c^3 + 1451520*sqrt(d*x^3 + c)*c^4)/d^4","A",0
296,1,96,0,1.335475," ","integrate(x^8*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(90720 \, c^{\frac{7}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 15 \, {\left(d x^{3} + c\right)}^{\frac{7}{2}} + 147 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c + 2240 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{2} + 60480 \, \sqrt{d x^{3} + c} c^{3}\right)}}{315 \, d^{3}}"," ",0,"-2/315*(90720*c^(7/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 15*(d*x^3 + c)^(7/2) + 147*(d*x^3 + c)^(5/2)*c + 2240*(d*x^3 + c)^(3/2)*c^2 + 60480*sqrt(d*x^3 + c)*c^3)/d^3","A",0
297,1,82,0,1.439620," ","integrate(x^5*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{2 \, {\left(1620 \, c^{\frac{5}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} + 40 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c + 1080 \, \sqrt{d x^{3} + c} c^{2}\right)}}{45 \, d^{2}}"," ",0,"-2/45*(1620*c^(5/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 3*(d*x^3 + c)^(5/2) + 40*(d*x^3 + c)^(3/2)*c + 1080*sqrt(d*x^3 + c)*c^2)/d^2","A",0
298,1,68,0,1.387905," ","integrate(x^2*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\frac{81 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 2 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} + 54 \, \sqrt{d x^{3} + c} c}{9 \, d}"," ",0,"-1/9*(81*c^(3/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 2*(d*x^3 + c)^(3/2) + 54*sqrt(d*x^3 + c)*c)/d","A",0
299,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)} x}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)*x), x)","F",0
300,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^4/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)} x^{4}}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)*x^4), x)","F",0
301,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^7/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)} x^{7}}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)*x^7), x)","F",0
302,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{7}}{d x^{3} - 8 \, c}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)*x^7/(d*x^3 - 8*c), x)","F",0
303,0,0,0,0.000000," ","integrate(x^4*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{4}}{d x^{3} - 8 \, c}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)*x^4/(d*x^3 - 8*c), x)","F",0
304,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x}{d x^{3} - 8 \, c}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)*x/(d*x^3 - 8*c), x)","F",0
305,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^2/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)} x^{2}}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)*x^2), x)","F",0
306,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^5/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)} x^{5}}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)*x^5), x)","F",0
307,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^8/(-d*x^3+8*c),x, algorithm=""maxima"")","-\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)} x^{8}}\,{d x}"," ",0,"-integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)*x^8), x)","F",0
308,1,82,0,1.263517," ","integrate(x^11/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(1280 \, c^{\frac{5}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} + 30 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c + 855 \, \sqrt{d x^{3} + c} c^{2}\right)}}{45 \, d^{4}}"," ",0,"-2/45*(1280*c^(5/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 3*(d*x^3 + c)^(5/2) + 30*(d*x^3 + c)^(3/2)*c + 855*sqrt(d*x^3 + c)*c^2)/d^4","A",0
309,1,66,0,1.311590," ","integrate(x^8/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(32 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + {\left(d x^{3} + c\right)}^{\frac{3}{2}} + 21 \, \sqrt{d x^{3} + c} c\right)}}{9 \, d^{3}}"," ",0,"-2/9*(32*c^(3/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + (d*x^3 + c)^(3/2) + 21*sqrt(d*x^3 + c)*c)/d^3","A",0
310,1,56,0,1.399912," ","integrate(x^5/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(4 \, \sqrt{c} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 3 \, \sqrt{d x^{3} + c}\right)}}{9 \, d^{2}}"," ",0,"-2/9*(4*sqrt(c)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 3*sqrt(d*x^3 + c))/d^2","A",0
311,1,42,0,1.212901," ","integrate(x^2/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{9 \, \sqrt{c} d}"," ",0,"-1/9*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/(sqrt(c)*d)","A",0
312,0,0,0,0.000000," ","integrate(1/x/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x), x)","F",0
313,0,0,0,0.000000," ","integrate(1/x^4/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x^{4}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x^4), x)","F",0
314,0,0,0,0.000000," ","integrate(1/x^7/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x^{7}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x^7), x)","F",0
315,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{7}}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x^7/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)), x)","F",0
316,0,0,0,0.000000," ","integrate(x^4/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{4}}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x^4/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)), x)","F",0
317,0,0,0,0.000000," ","integrate(x/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)), x)","F",0
318,0,0,0,0.000000," ","integrate(1/x^2/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x^{2}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x^2), x)","F",0
319,0,0,0,0.000000," ","integrate(1/x^5/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x^{5}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x^5), x)","F",0
320,0,0,0,0.000000," ","integrate(1/x^8/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x^{8}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x^8), x)","F",0
321,0,0,0,0.000000," ","integrate(x^3/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{3}}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x^3/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)), x)","F",0
322,0,0,0,0.000000," ","integrate(1/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)), x)","F",0
323,0,0,0,0.000000," ","integrate(1/x^3/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x^{3}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x^3), x)","F",0
324,0,0,0,0.000000," ","integrate(1/x^6/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)} x^{6}}\,{d x}"," ",0,"-integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)*x^6), x)","F",0
325,1,82,0,1.251205," ","integrate(x^11/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(256 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 9 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} + 162 \, \sqrt{d x^{3} + c} c - \frac{3 \, c^{2}}{\sqrt{d x^{3} + c}}\right)}}{81 \, d^{4}}"," ",0,"-2/81*(256*c^(3/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 9*(d*x^3 + c)^(3/2) + 162*sqrt(d*x^3 + c)*c - 3*c^2/sqrt(d*x^3 + c))/d^4","A",0
326,1,68,0,1.122105," ","integrate(x^8/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(32 \, \sqrt{c} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 27 \, \sqrt{d x^{3} + c} + \frac{3 \, c}{\sqrt{d x^{3} + c}}\right)}}{81 \, d^{3}}"," ",0,"-2/81*(32*sqrt(c)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 27*sqrt(d*x^3 + c) + 3*c/sqrt(d*x^3 + c))/d^3","A",0
327,1,56,0,1.209183," ","integrate(x^5/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{4 \, \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{\sqrt{c}} - \frac{3}{\sqrt{d x^{3} + c}}\right)}}{81 \, d^{2}}"," ",0,"-2/81*(4*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/sqrt(c) - 3/sqrt(d*x^3 + c))/d^2","A",0
328,1,58,0,1.227706," ","integrate(x^2/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{\log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{c^{\frac{3}{2}}} + \frac{6}{\sqrt{d x^{3} + c} c}}{81 \, d}"," ",0,"-1/81*(log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/c^(3/2) + 6/(sqrt(d*x^3 + c)*c))/d","A",0
329,0,0,0,0.000000," ","integrate(1/x/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x), x)","F",0
330,0,0,0,0.000000," ","integrate(1/x^4/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x^{4}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x^4), x)","F",0
331,0,0,0,0.000000," ","integrate(1/x^7/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x^{7}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x^7), x)","F",0
332,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{x^{7}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x^7/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)), x)","F",0
333,0,0,0,0.000000," ","integrate(x^4/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{x^{4}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x^4/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)), x)","F",0
334,0,0,0,0.000000," ","integrate(x/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{x}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)), x)","F",0
335,0,0,0,0.000000," ","integrate(1/x^2/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x^{2}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x^2), x)","F",0
336,0,0,0,0.000000," ","integrate(1/x^5/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x^{5}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x^5), x)","F",0
337,0,0,0,0.000000," ","integrate(1/x^8/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x^{8}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x^8), x)","F",0
338,0,0,0,0.000000," ","integrate(x^3/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{x^{3}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(x^3/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)), x)","F",0
339,0,0,0,0.000000," ","integrate(1/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)), x)","F",0
340,0,0,0,0.000000," ","integrate(1/x^3/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x^{3}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x^3), x)","F",0
341,0,0,0,0.000000," ","integrate(1/x^6/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)} x^{6}}\,{d x}"," ",0,"-integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)*x^6), x)","F",0
342,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(1/2)/(b*x^3+2*a*(5+3*3^(1/2))),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} + a} x}{b x^{3} + 2 \, a {\left(3 \, \sqrt{3} + 5\right)}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x/(b*x^3 + 2*a*(3*sqrt(3) + 5)), x)","F",0
343,0,0,0,0.000000," ","integrate(x*(-b*x^3+a)^(1/2)/(-b*x^3+2*a*(5+3*3^(1/2))),x, algorithm=""maxima"")","-\int \frac{\sqrt{-b x^{3} + a} x}{b x^{3} - 2 \, a {\left(3 \, \sqrt{3} + 5\right)}}\,{d x}"," ",0,"-integrate(sqrt(-b*x^3 + a)*x/(b*x^3 - 2*a*(3*sqrt(3) + 5)), x)","F",0
344,0,0,0,0.000000," ","integrate(x*(b*x^3-a)^(1/2)/(b*x^3-2*a*(5+3*3^(1/2))),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} - a} x}{b x^{3} - 2 \, a {\left(3 \, \sqrt{3} + 5\right)}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 - a)*x/(b*x^3 - 2*a*(3*sqrt(3) + 5)), x)","F",0
345,0,0,0,0.000000," ","integrate(x*(-b*x^3-a)^(1/2)/(-b*x^3-2*a*(5+3*3^(1/2))),x, algorithm=""maxima"")","-\int \frac{\sqrt{-b x^{3} - a} x}{b x^{3} + 2 \, a {\left(3 \, \sqrt{3} + 5\right)}}\,{d x}"," ",0,"-integrate(sqrt(-b*x^3 - a)*x/(b*x^3 + 2*a*(3*sqrt(3) + 5)), x)","F",0
346,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(1/2)/(b*x^3+2*a*(5-3*3^(1/2))),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} + a} x}{b x^{3} - 2 \, a {\left(3 \, \sqrt{3} - 5\right)}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x/(b*x^3 - 2*a*(3*sqrt(3) - 5)), x)","F",0
347,0,0,0,0.000000," ","integrate(x*(-b*x^3+a)^(1/2)/(-b*x^3+2*a*(5-3*3^(1/2))),x, algorithm=""maxima"")","-\int \frac{\sqrt{-b x^{3} + a} x}{b x^{3} + 2 \, a {\left(3 \, \sqrt{3} - 5\right)}}\,{d x}"," ",0,"-integrate(sqrt(-b*x^3 + a)*x/(b*x^3 + 2*a*(3*sqrt(3) - 5)), x)","F",0
348,0,0,0,0.000000," ","integrate(x*(b*x^3-a)^(1/2)/(-b*x^3+2*a*(5-3*3^(1/2))),x, algorithm=""maxima"")","-\int \frac{\sqrt{b x^{3} - a} x}{b x^{3} + 2 \, a {\left(3 \, \sqrt{3} - 5\right)}}\,{d x}"," ",0,"-integrate(sqrt(b*x^3 - a)*x/(b*x^3 + 2*a*(3*sqrt(3) - 5)), x)","F",0
349,0,0,0,0.000000," ","integrate(x*(-b*x^3-a)^(1/2)/(b*x^3+2*a*(5-3*3^(1/2))),x, algorithm=""maxima"")","\int \frac{\sqrt{-b x^{3} - a} x}{b x^{3} - 2 \, a {\left(3 \, \sqrt{3} - 5\right)}}\,{d x}"," ",0,"integrate(sqrt(-b*x^3 - a)*x/(b*x^3 - 2*a*(3*sqrt(3) - 5)), x)","F",0
350,0,0,0,0.000000," ","integrate(x/(b*x^3+2*a*(5+3*3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + 2 \, a {\left(3 \, \sqrt{3} + 5\right)}\right)} \sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x/((b*x^3 + 2*a*(3*sqrt(3) + 5))*sqrt(b*x^3 + a)), x)","F",0
351,0,0,0,0.000000," ","integrate(x/(-b*x^3+2*a*(5+3*3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{{\left(b x^{3} - 2 \, a {\left(3 \, \sqrt{3} + 5\right)}\right)} \sqrt{-b x^{3} + a}}\,{d x}"," ",0,"-integrate(x/((b*x^3 - 2*a*(3*sqrt(3) + 5))*sqrt(-b*x^3 + a)), x)","F",0
352,0,0,0,0.000000," ","integrate(x/(b*x^3-2*a*(5+3*3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} - 2 \, a {\left(3 \, \sqrt{3} + 5\right)}\right)} \sqrt{b x^{3} - a}}\,{d x}"," ",0,"integrate(x/((b*x^3 - 2*a*(3*sqrt(3) + 5))*sqrt(b*x^3 - a)), x)","F",0
353,0,0,0,0.000000," ","integrate(x/(-b*x^3-2*a*(5+3*3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{{\left(b x^{3} + 2 \, a {\left(3 \, \sqrt{3} + 5\right)}\right)} \sqrt{-b x^{3} - a}}\,{d x}"," ",0,"-integrate(x/((b*x^3 + 2*a*(3*sqrt(3) + 5))*sqrt(-b*x^3 - a)), x)","F",0
354,0,0,0,0.000000," ","integrate(x/(b*x^3+2*a*(5-3*3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} - 2 \, a {\left(3 \, \sqrt{3} - 5\right)}\right)} \sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x/((b*x^3 - 2*a*(3*sqrt(3) - 5))*sqrt(b*x^3 + a)), x)","F",0
355,0,0,0,0.000000," ","integrate(x/(-b*x^3+2*a*(5-3*3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{{\left(b x^{3} + 2 \, a {\left(3 \, \sqrt{3} - 5\right)}\right)} \sqrt{-b x^{3} + a}}\,{d x}"," ",0,"-integrate(x/((b*x^3 + 2*a*(3*sqrt(3) - 5))*sqrt(-b*x^3 + a)), x)","F",0
356,0,0,0,0.000000," ","integrate(x/(-b*x^3+2*a*(5-3*3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{{\left(b x^{3} + 2 \, a {\left(3 \, \sqrt{3} - 5\right)}\right)} \sqrt{b x^{3} - a}}\,{d x}"," ",0,"-integrate(x/((b*x^3 + 2*a*(3*sqrt(3) - 5))*sqrt(b*x^3 - a)), x)","F",0
357,0,0,0,0.000000," ","integrate(x/(b*x^3+2*a*(5-3*3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} - 2 \, a {\left(3 \, \sqrt{3} - 5\right)}\right)} \sqrt{-b x^{3} - a}}\,{d x}"," ",0,"integrate(x/((b*x^3 - 2*a*(3*sqrt(3) - 5))*sqrt(-b*x^3 - a)), x)","F",0
358,-2,0,0,0.000000," ","integrate(x^8*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
359,-2,0,0,0.000000," ","integrate(x^5*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
360,-2,0,0,0.000000," ","integrate(x^2*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
361,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)} x}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)*x), x)","F",0
362,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^4/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)*x^4), x)","F",0
363,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x^{3}}{b x^{3} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x^3/(b*x^3 + a), x)","F",0
364,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x}{b x^{3} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x/(b*x^3 + a), x)","F",0
365,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{b x^{3} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/(b*x^3 + a), x)","F",0
366,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^2/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)*x^2), x)","F",0
367,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^3/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)*x^3), x)","F",0
368,-2,0,0,0.000000," ","integrate(x^8*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
369,-2,0,0,0.000000," ","integrate(x^5*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
370,-2,0,0,0.000000," ","integrate(x^2*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
371,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)} x}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)*x), x)","F",0
372,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^4/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)} x^{4}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)*x^4), x)","F",0
373,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{3}}{b x^{3} + a}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)*x^3/(b*x^3 + a), x)","F",0
374,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x}{b x^{3} + a}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)*x/(b*x^3 + a), x)","F",0
375,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{b x^{3} + a}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/(b*x^3 + a), x)","F",0
376,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^2/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)} x^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)*x^2), x)","F",0
377,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^3/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)} x^{3}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)*x^3), x)","F",0
378,-2,0,0,0.000000," ","integrate(x^8/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
379,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
380,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
381,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} \sqrt{d x^{3} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*sqrt(d*x^3 + c)*x), x)","F",0
382,0,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} \sqrt{d x^{3} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*sqrt(d*x^3 + c)*x^4), x)","F",0
383,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x^3/((b*x^3 + a)*sqrt(d*x^3 + c)), x)","F",0
384,0,0,0,0.000000," ","integrate(x/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x/((b*x^3 + a)*sqrt(d*x^3 + c)), x)","F",0
385,0,0,0,0.000000," ","integrate(1/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*sqrt(d*x^3 + c)), x)","F",0
386,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} \sqrt{d x^{3} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*sqrt(d*x^3 + c)*x^2), x)","F",0
387,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} \sqrt{d x^{3} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*sqrt(d*x^3 + c)*x^3), x)","F",0
388,-2,0,0,0.000000," ","integrate(x^8/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
389,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
390,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
391,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*(d*x^3 + c)^(3/2)*x), x)","F",0
392,0,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*(d*x^3 + c)^(3/2)*x^4), x)","F",0
393,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/((b*x^3 + a)*(d*x^3 + c)^(3/2)), x)","F",0
394,0,0,0,0.000000," ","integrate(x/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/((b*x^3 + a)*(d*x^3 + c)^(3/2)), x)","F",0
395,0,0,0,0.000000," ","integrate(1/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*(d*x^3 + c)^(3/2)), x)","F",0
396,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*(d*x^3 + c)^(3/2)*x^2), x)","F",0
397,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)*(d*x^3 + c)^(3/2)*x^3), x)","F",0
398,1,107,0,1.238041," ","integrate(x^11*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(4960 \, c^{\frac{5}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} + 75 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c + 2880 \, \sqrt{d x^{3} + c} c^{2} - \frac{3840 \, \sqrt{d x^{3} + c} c^{3}}{d x^{3} - 8 \, c}\right)}}{45 \, d^{4}}"," ",0,"2/45*(4960*c^(5/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 3*(d*x^3 + c)^(5/2) + 75*(d*x^3 + c)^(3/2)*c + 2880*sqrt(d*x^3 + c)*c^2 - 3840*sqrt(d*x^3 + c)*c^3/(d*x^3 - 8*c))/d^4","A",0
399,1,91,0,1.220436," ","integrate(x^8*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(88 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + {\left(d x^{3} + c\right)}^{\frac{3}{2}} + 48 \, \sqrt{d x^{3} + c} c - \frac{96 \, \sqrt{d x^{3} + c} c^{2}}{d x^{3} - 8 \, c}\right)}}{9 \, d^{3}}"," ",0,"2/9*(88*c^(3/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + (d*x^3 + c)^(3/2) + 48*sqrt(d*x^3 + c)*c - 96*sqrt(d*x^3 + c)*c^2/(d*x^3 - 8*c))/d^3","A",0
400,1,79,0,1.254815," ","integrate(x^5*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{13 \, \sqrt{c} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 6 \, \sqrt{d x^{3} + c} - \frac{24 \, \sqrt{d x^{3} + c} c}{d x^{3} - 8 \, c}}{9 \, d^{2}}"," ",0,"1/9*(13*sqrt(c)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 6*sqrt(d*x^3 + c) - 24*sqrt(d*x^3 + c)*c/(d*x^3 - 8*c))/d^2","A",0
401,1,66,0,1.392206," ","integrate(x^2*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{\frac{\log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{\sqrt{c}} - \frac{6 \, \sqrt{d x^{3} + c}}{d x^{3} - 8 \, c}}{18 \, d}"," ",0,"1/18*(log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/sqrt(c) - 6*sqrt(d*x^3 + c)/(d*x^3 - 8*c))/d","A",0
402,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)}^{2} x}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)^2*x), x)","F",0
403,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^4/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)^2*x^4), x)","F",0
404,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^7/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{7}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)^2*x^7), x)","F",0
405,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x^{7}}{{\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x^7/(d*x^3 - 8*c)^2, x)","F",0
406,0,0,0,0.000000," ","integrate(x^4*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x^{4}}{{\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x^4/(d*x^3 - 8*c)^2, x)","F",0
407,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x}{{\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x/(d*x^3 - 8*c)^2, x)","F",0
408,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^2/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)^2*x^2), x)","F",0
409,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^5/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{5}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)^2*x^5), x)","F",0
410,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^8/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{8}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((d*x^3 - 8*c)^2*x^8), x)","F",0
411,1,119,0,1.182677," ","integrate(x^11*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(26208 \, c^{\frac{7}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + {\left(d x^{3} + c\right)}^{\frac{7}{2}} + 21 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c + 448 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{2} + 15680 \, \sqrt{d x^{3} + c} c^{3} - \frac{16128 \, \sqrt{d x^{3} + c} c^{4}}{d x^{3} - 8 \, c}\right)}}{21 \, d^{4}}"," ",0,"2/21*(26208*c^(7/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + (d*x^3 + c)^(7/2) + 21*(d*x^3 + c)^(5/2)*c + 448*(d*x^3 + c)^(3/2)*c^2 + 15680*sqrt(d*x^3 + c)*c^3 - 16128*sqrt(d*x^3 + c)*c^4/(d*x^3 - 8*c))/d^4","A",0
412,1,107,0,1.390615," ","integrate(x^8*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(5400 \, c^{\frac{5}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} + 80 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c + 3120 \, \sqrt{d x^{3} + c} c^{2} - \frac{4320 \, \sqrt{d x^{3} + c} c^{3}}{d x^{3} - 8 \, c}\right)}}{45 \, d^{3}}"," ",0,"2/45*(5400*c^(5/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 3*(d*x^3 + c)^(5/2) + 80*(d*x^3 + c)^(3/2)*c + 3120*sqrt(d*x^3 + c)*c^2 - 4320*sqrt(d*x^3 + c)*c^3/(d*x^3 - 8*c))/d^3","A",0
413,1,93,0,1.332703," ","integrate(x^5*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{189 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 2 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} + 102 \, \sqrt{d x^{3} + c} c - \frac{216 \, \sqrt{d x^{3} + c} c^{2}}{d x^{3} - 8 \, c}}{9 \, d^{2}}"," ",0,"1/9*(189*c^(3/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 2*(d*x^3 + c)^(3/2) + 102*sqrt(d*x^3 + c)*c - 216*sqrt(d*x^3 + c)*c^2/(d*x^3 - 8*c))/d^2","A",0
414,1,79,0,1.310759," ","integrate(x^2*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\frac{9 \, \sqrt{c} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 4 \, \sqrt{d x^{3} + c} - \frac{18 \, \sqrt{d x^{3} + c} c}{d x^{3} - 8 \, c}}{6 \, d}"," ",0,"1/6*(9*sqrt(c)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 4*sqrt(d*x^3 + c) - 18*sqrt(d*x^3 + c)*c/(d*x^3 - 8*c))/d","A",0
415,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)}^{2} x}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)^2*x), x)","F",0
416,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^4/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)^2*x^4), x)","F",0
417,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^7/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{7}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)^2*x^7), x)","F",0
418,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{7}}{{\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)*x^7/(d*x^3 - 8*c)^2, x)","F",0
419,0,0,0,0.000000," ","integrate(x^4*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{4}}{{\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)*x^4/(d*x^3 - 8*c)^2, x)","F",0
420,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x}{{\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)*x/(d*x^3 - 8*c)^2, x)","F",0
421,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^2/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)^2*x^2), x)","F",0
422,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^5/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{5}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)^2*x^5), x)","F",0
423,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^8/(-d*x^3+8*c)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(d x^{3} - 8 \, c\right)}^{2} x^{8}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((d*x^3 - 8*c)^2*x^8), x)","F",0
424,1,93,0,1.343886," ","integrate(x^11/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(736 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 9 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} + 405 \, \sqrt{d x^{3} + c} c - \frac{768 \, \sqrt{d x^{3} + c} c^{2}}{d x^{3} - 8 \, c}\right)}}{81 \, d^{4}}"," ",0,"2/81*(736*c^(3/2)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 9*(d*x^3 + c)^(3/2) + 405*sqrt(d*x^3 + c)*c - 768*sqrt(d*x^3 + c)*c^2/(d*x^3 - 8*c))/d^4","A",0
425,1,79,0,1.560695," ","integrate(x^8/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(56 \, \sqrt{c} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 27 \, \sqrt{d x^{3} + c} - \frac{96 \, \sqrt{d x^{3} + c} c}{d x^{3} - 8 \, c}\right)}}{81 \, d^{3}}"," ",0,"2/81*(56*sqrt(c)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 27*sqrt(d*x^3 + c) - 96*sqrt(d*x^3 + c)*c/(d*x^3 - 8*c))/d^3","A",0
426,1,67,0,1.322172," ","integrate(x^5/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\frac{\frac{5 \, \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{\sqrt{c}} - \frac{24 \, \sqrt{d x^{3} + c}}{d x^{3} - 8 \, c}}{81 \, d^{2}}"," ",0,"1/81*(5*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/sqrt(c) - 24*sqrt(d*x^3 + c)/(d*x^3 - 8*c))/d^2","A",0
427,1,72,0,1.389476," ","integrate(x^2/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{6 \, \sqrt{d x^{3} + c}}{{\left(d x^{3} + c\right)} c - 9 \, c^{2}} + \frac{\log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{c^{\frac{3}{2}}}}{162 \, d}"," ",0,"-1/162*(6*sqrt(d*x^3 + c)/((d*x^3 + c)*c - 9*c^2) + log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/c^(3/2))/d","A",0
428,0,0,0,0.000000," ","integrate(1/x/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x), x)","F",0
429,0,0,0,0.000000," ","integrate(1/x^4/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x^4), x)","F",0
430,0,0,0,0.000000," ","integrate(1/x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x^{7}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x^7), x)","F",0
431,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^7/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2), x)","F",0
432,0,0,0,0.000000," ","integrate(x^4/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2), x)","F",0
433,0,0,0,0.000000," ","integrate(x/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2), x)","F",0
434,0,0,0,0.000000," ","integrate(1/x^2/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x^2), x)","F",0
435,0,0,0,0.000000," ","integrate(1/x^5/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x^5), x)","F",0
436,0,0,0,0.000000," ","integrate(1/x^8/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x^{8}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x^8), x)","F",0
437,0,0,0,0.000000," ","integrate(x^6/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^6/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2), x)","F",0
438,0,0,0,0.000000," ","integrate(x^3/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2), x)","F",0
439,0,0,0,0.000000," ","integrate(1/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2), x)","F",0
440,0,0,0,0.000000," ","integrate(1/x^3/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x^3), x)","F",0
441,0,0,0,0.000000," ","integrate(1/x^6/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{3} + c} {\left(d x^{3} - 8 \, c\right)}^{2} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^3 + c)*(d*x^3 - 8*c)^2*x^6), x)","F",0
442,1,98,0,1.211679," ","integrate(x^11/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(160 \, \sqrt{c} \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right) + 81 \, \sqrt{d x^{3} + c} - \frac{3 \, {\left(85 \, {\left(d x^{3} + c\right)} c + 3 \, c^{2}\right)}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c}\right)}}{243 \, d^{4}}"," ",0,"2/243*(160*sqrt(c)*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c))) + 81*sqrt(d*x^3 + c) - 3*(85*(d*x^3 + c)*c + 3*c^2)/((d*x^3 + c)^(3/2) - 9*sqrt(d*x^3 + c)*c))/d^4","A",0
443,1,81,0,1.412302," ","integrate(x^8/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{8 \, \log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{\sqrt{c}} - \frac{3 \, {\left(11 \, d x^{3} + 8 \, c\right)}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c}\right)}}{243 \, d^{3}}"," ",0,"2/243*(8*log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/sqrt(c) - 3*(11*d*x^3 + 8*c)/((d*x^3 + c)^(3/2) - 9*sqrt(d*x^3 + c)*c))/d^3","A",0
444,1,83,0,1.233623," ","integrate(x^5/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{6 \, {\left(d x^{3} + 4 \, c\right)}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} c - 9 \, \sqrt{d x^{3} + c} c^{2}} + \frac{\log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{c^{\frac{3}{2}}}}{243 \, d^{2}}"," ",0,"-1/243*(6*(d*x^3 + 4*c)/((d*x^3 + c)^(3/2)*c - 9*sqrt(d*x^3 + c)*c^2) + log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/c^(3/2))/d^2","A",0
445,1,85,0,1.270201," ","integrate(x^2/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{6 \, {\left(d x^{3} - 5 \, c\right)}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{2} - 9 \, \sqrt{d x^{3} + c} c^{3}} + \frac{\log\left(\frac{\sqrt{d x^{3} + c} - 3 \, \sqrt{c}}{\sqrt{d x^{3} + c} + 3 \, \sqrt{c}}\right)}{c^{\frac{5}{2}}}}{486 \, d}"," ",0,"-1/486*(6*(d*x^3 - 5*c)/((d*x^3 + c)^(3/2)*c^2 - 9*sqrt(d*x^3 + c)*c^3) + log((sqrt(d*x^3 + c) - 3*sqrt(c))/(sqrt(d*x^3 + c) + 3*sqrt(c)))/c^(5/2))/d","A",0
446,0,0,0,0.000000," ","integrate(1/x/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x), x)","F",0
447,0,0,0,0.000000," ","integrate(1/x^4/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x^4), x)","F",0
448,0,0,0,0.000000," ","integrate(1/x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x^{7}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x^7), x)","F",0
449,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^7/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2), x)","F",0
450,0,0,0,0.000000," ","integrate(x^4/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2), x)","F",0
451,0,0,0,0.000000," ","integrate(x/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2), x)","F",0
452,0,0,0,0.000000," ","integrate(1/x^2/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x^2), x)","F",0
453,0,0,0,0.000000," ","integrate(1/x^5/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x^{5}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x^5), x)","F",0
454,0,0,0,0.000000," ","integrate(1/x^8/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x^{8}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x^8), x)","F",0
455,0,0,0,0.000000," ","integrate(x^6/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^6/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2), x)","F",0
456,0,0,0,0.000000," ","integrate(x^3/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2), x)","F",0
457,0,0,0,0.000000," ","integrate(1/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2), x)","F",0
458,0,0,0,0.000000," ","integrate(1/x^3/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x^3), x)","F",0
459,0,0,0,0.000000," ","integrate(1/x^6/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{3} + c\right)}^{\frac{3}{2}} {\left(d x^{3} - 8 \, c\right)}^{2} x^{6}}\,{d x}"," ",0,"integrate(1/((d*x^3 + c)^(3/2)*(d*x^3 - 8*c)^2*x^6), x)","F",0
460,-2,0,0,0.000000," ","integrate(x^8*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
461,-2,0,0,0.000000," ","integrate(x^5*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
462,-2,0,0,0.000000," ","integrate(x^2*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
463,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)}^{2} x}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)^2*x), x)","F",0
464,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^4/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)^2*x^4), x)","F",0
465,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x^{3}}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x^3/(b*x^3 + a)^2, x)","F",0
466,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c} x}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)*x/(b*x^3 + a)^2, x)","F",0
467,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/(b*x^3 + a)^2, x)","F",0
468,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^2/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)^2*x^2), x)","F",0
469,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/x^3/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{{\left(b x^{3} + a\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/((b*x^3 + a)^2*x^3), x)","F",0
470,-2,0,0,0.000000," ","integrate(x^8*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
471,-2,0,0,0.000000," ","integrate(x^5*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
472,-2,0,0,0.000000," ","integrate(x^2*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
473,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)}^{2} x}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)^2*x), x)","F",0
474,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^4/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)^2*x^4), x)","F",0
475,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{3}}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)*x^3/(b*x^3 + a)^2, x)","F",0
476,0,0,0,0.000000," ","integrate(x*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} x}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)*x/(b*x^3 + a)^2, x)","F",0
477,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/(b*x^3 + a)^2, x)","F",0
478,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^2/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)^2*x^2), x)","F",0
479,0,0,0,0.000000," ","integrate((d*x^3+c)^(3/2)/x^3/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{{\left(b x^{3} + a\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((d*x^3 + c)^(3/2)/((b*x^3 + a)^2*x^3), x)","F",0
480,-2,0,0,0.000000," ","integrate(x^8/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
481,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
482,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
483,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} \sqrt{d x^{3} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*sqrt(d*x^3 + c)*x), x)","F",0
484,0,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} \sqrt{d x^{3} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*sqrt(d*x^3 + c)*x^4), x)","F",0
485,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)}^{2} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x^3/((b*x^3 + a)^2*sqrt(d*x^3 + c)), x)","F",0
486,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)}^{2} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x/((b*x^3 + a)^2*sqrt(d*x^3 + c)), x)","F",0
487,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*sqrt(d*x^3 + c)), x)","F",0
488,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} \sqrt{d x^{3} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*sqrt(d*x^3 + c)*x^2), x)","F",0
489,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} \sqrt{d x^{3} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*sqrt(d*x^3 + c)*x^3), x)","F",0
490,-2,0,0,0.000000," ","integrate(x^8/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
491,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
492,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
493,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*(d*x^3 + c)^(3/2)*x), x)","F",0
494,0,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*(d*x^3 + c)^(3/2)*x^4), x)","F",0
495,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)}^{2} {\left(d x^{3} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/((b*x^3 + a)^2*(d*x^3 + c)^(3/2)), x)","F",0
496,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)}^{2} {\left(d x^{3} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/((b*x^3 + a)^2*(d*x^3 + c)^(3/2)), x)","F",0
497,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} {\left(d x^{3} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*(d*x^3 + c)^(3/2)), x)","F",0
498,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*(d*x^3 + c)^(3/2)*x^2), x)","F",0
499,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{2} {\left(d x^{3} + c\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^2*(d*x^3 + c)^(3/2)*x^3), x)","F",0
500,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^3+a)^(5/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)*(e*x)^m, x)","F",0
501,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*(e*x)^m, x)","F",0
502,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^3+a)^(1/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*(e*x)^m, x)","F",0
503,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{m}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^m/sqrt(b*x^3 + a), x)","F",0
504,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{m}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^m/(b*x^3 + a)^(3/2), x)","F",0
505,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{m}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^m/(b*x^3 + a)^(5/2), x)","F",0
506,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
507,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
508,-2,0,0,0.000000," ","integrate(1/x/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
509,-2,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
510,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{b x^{3} + a} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x^4/(sqrt(b*x^3 + a)*sqrt(d*x^3 + c)), x)","F",0
511,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{b x^{3} + a} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x^3/(sqrt(b*x^3 + a)*sqrt(d*x^3 + c)), x)","F",0
512,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x^{3} + a} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x^3 + a)*sqrt(d*x^3 + c)), x)","F",0
513,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} \sqrt{d x^{3} + c}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*sqrt(d*x^3 + c)), x)","F",0
514,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} \sqrt{d x^{3} + c} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*sqrt(d*x^3 + c)*x^2), x)","F",0
515,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} \sqrt{d x^{3} + c} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*sqrt(d*x^3 + c)*x^3), x)","F",0
516,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} \left(e x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*(e*x)^(7/2), x)","F",0
517,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} \left(e x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*(e*x)^(5/2), x)","F",0
518,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} \left(e x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*(e*x)^(3/2), x)","F",0
519,0,0,0,0.000000," ","integrate((B*x^3+A)*(e*x)^(1/2)*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} \sqrt{b x^{3} + a} \sqrt{e x}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)*sqrt(e*x), x)","F",0
520,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{\sqrt{e x}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/sqrt(e*x), x)","F",0
521,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/(e*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{\left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/(e*x)^(3/2), x)","F",0
522,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/(e*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{\left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/(e*x)^(5/2), x)","F",0
523,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/(e*x)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{\left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/(e*x)^(7/2), x)","F",0
524,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^(9/2), x)","F",0
525,1,81,0,1.217038," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^(11/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(\sqrt{b} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{3} + a}}{x^{\frac{3}{2}}}}{\sqrt{b} + \frac{\sqrt{b x^{3} + a}}{x^{\frac{3}{2}}}}\right) + \frac{2 \, \sqrt{b x^{3} + a}}{x^{\frac{3}{2}}}\right)} B - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A}{9 \, a x^{\frac{9}{2}}}"," ",0,"-1/3*(sqrt(b)*log(-(sqrt(b) - sqrt(b*x^3 + a)/x^(3/2))/(sqrt(b) + sqrt(b*x^3 + a)/x^(3/2))) + 2*sqrt(b*x^3 + a)/x^(3/2))*B - 2/9*(b*x^3 + a)^(3/2)*A/(a*x^(9/2))","A",0
526,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{b x^{3} + a}}{x^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(b*x^3 + a)/x^(13/2), x)","F",0
527,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*(e*x)^(7/2), x)","F",0
528,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*(e*x)^(5/2), x)","F",0
529,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*(e*x)^(3/2), x)","F",0
530,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)*(e*x)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}} \sqrt{e x}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)*sqrt(e*x), x)","F",0
531,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{\sqrt{e x}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/sqrt(e*x), x)","F",0
532,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/(e*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{\left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/(e*x)^(3/2), x)","F",0
533,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/(e*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{\left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/(e*x)^(5/2), x)","F",0
534,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/(e*x)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{\left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(3/2)/(e*x)^(7/2), x)","F",0
535,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(b*x^3+a)^(5/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)*(e*x)^(7/2), x)","F",0
536,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(b*x^3+a)^(5/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)*(e*x)^(5/2), x)","F",0
537,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(b*x^3+a)^(5/2)*(B*x^3+A),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)*(e*x)^(3/2), x)","F",0
538,0,0,0,0.000000," ","integrate((b*x^3+a)^(5/2)*(B*x^3+A)*(e*x)^(1/2),x, algorithm=""maxima"")","\int {\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}} \sqrt{e x}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)*sqrt(e*x), x)","F",0
539,0,0,0,0.000000," ","integrate((b*x^3+a)^(5/2)*(B*x^3+A)/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{\sqrt{e x}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)/sqrt(e*x), x)","F",0
540,0,0,0,0.000000," ","integrate((b*x^3+a)^(5/2)*(B*x^3+A)/(e*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{\left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)/(e*x)^(3/2), x)","F",0
541,0,0,0,0.000000," ","integrate((b*x^3+a)^(5/2)*(B*x^3+A)/(e*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{\left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)/(e*x)^(5/2), x)","F",0
542,0,0,0,0.000000," ","integrate((b*x^3+a)^(5/2)*(B*x^3+A)/(e*x)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{\left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(b*x^3 + a)^(5/2)/(e*x)^(7/2), x)","F",0
543,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{7}{2}}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(7/2)/sqrt(b*x^3 + a), x)","F",0
544,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{5}{2}}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(5/2)/sqrt(b*x^3 + a), x)","F",0
545,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{3}{2}}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(3/2)/sqrt(b*x^3 + a), x)","F",0
546,0,0,0,0.000000," ","integrate((B*x^3+A)*(e*x)^(1/2)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{e x}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(e*x)/sqrt(b*x^3 + a), x)","F",0
547,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(1/2)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} \sqrt{e x}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*sqrt(e*x)), x)","F",0
548,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(3/2)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} \left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*(e*x)^(3/2)), x)","F",0
549,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(5/2)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{-\frac{B \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{3} + a}}{x^{\frac{3}{2}}}}{\sqrt{b} + \frac{\sqrt{b x^{3} + a}}{x^{\frac{3}{2}}}}\right)}{3 \, \sqrt{b}}}{e^{\frac{5}{2}}} - \frac{2 \, {\left(b \sqrt{e} x^{4} + a \sqrt{e} x\right)} A}{3 \, \sqrt{b x^{3} + a} a e^{3} x^{\frac{5}{2}}}"," ",0,"B*integrate(sqrt(x)/sqrt(b*x^3 + a), x)/e^(5/2) - 2/3*(b*sqrt(e)*x^4 + a*sqrt(e)*x)*A/(sqrt(b*x^3 + a)*a*e^3*x^(5/2))","F",0
550,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(7/2)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{\sqrt{b x^{3} + a} \left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/(sqrt(b*x^3 + a)*(e*x)^(7/2)), x)","F",0
551,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{7}{2}}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(7/2)/(b*x^3 + a)^(3/2), x)","F",0
552,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{5}{2}}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(5/2)/(b*x^3 + a)^(3/2), x)","F",0
553,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{3}{2}}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(3/2)/(b*x^3 + a)^(3/2), x)","F",0
554,0,0,0,0.000000," ","integrate((B*x^3+A)*(e*x)^(1/2)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{e x}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(e*x)/(b*x^3 + a)^(3/2), x)","F",0
555,0,0,0,0.000000," ","integrate((B*x^3+A)/(b*x^3+a)^(3/2)/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} \sqrt{e x}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*sqrt(e*x)), x)","F",0
556,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(3/2)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*(e*x)^(3/2)), x)","F",0
557,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(5/2)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*(e*x)^(5/2)), x)","F",0
558,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(7/2)/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(3/2)*(e*x)^(7/2)), x)","F",0
559,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{7}{2}}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(7/2)/(b*x^3 + a)^(5/2), x)","F",0
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562,0,0,0,0.000000," ","integrate((B*x^3+A)*(e*x)^(1/2)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{3} + A\right)} \sqrt{e x}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*sqrt(e*x)/(b*x^3 + a)^(5/2), x)","F",0
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564,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(3/2)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(5/2)*(e*x)^(3/2)), x)","F",0
565,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(5/2)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(5/2)*(e*x)^(5/2)), x)","F",0
566,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(7/2)/(b*x^3+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x^{3} + A}{{\left(b x^{3} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)/((b*x^3 + a)^(5/2)*(e*x)^(7/2)), x)","F",0
567,1,183,0,1.553550," ","integrate(x^11*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","\frac{\frac{140 \, \sqrt{3} 2^{\frac{1}{3}} a^{\frac{10}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} + \frac{70 \cdot 2^{\frac{1}{3}} a^{\frac{10}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} - \frac{140 \cdot 2^{\frac{1}{3}} a^{\frac{10}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} - \frac{3 \, {\left(14 \, {\left(b x^{3} + a\right)}^{\frac{10}{3}} - 20 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} a + 35 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a^{2} + 140 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{3}\right)}}{d}}{420 \, b^{4}}"," ",0,"1/420*(140*sqrt(3)*2^(1/3)*a^(10/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d + 70*2^(1/3)*a^(10/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d - 140*2^(1/3)*a^(10/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d - 3*(14*(b*x^3 + a)^(10/3) - 20*(b*x^3 + a)^(7/3)*a + 35*(b*x^3 + a)^(4/3)*a^2 + 140*(b*x^3 + a)^(1/3)*a^3)/d)/b^4","A",0
568,1,155,0,1.405709," ","integrate(x^8*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","\frac{\frac{14 \, \sqrt{3} 2^{\frac{1}{3}} a^{\frac{7}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} + \frac{7 \cdot 2^{\frac{1}{3}} a^{\frac{7}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} - \frac{14 \cdot 2^{\frac{1}{3}} a^{\frac{7}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} - \frac{6 \, {\left({\left(b x^{3} + a\right)}^{\frac{7}{3}} + 7 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{2}\right)}}{d}}{42 \, b^{3}}"," ",0,"1/42*(14*sqrt(3)*2^(1/3)*a^(7/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d + 7*2^(1/3)*a^(7/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d - 14*2^(1/3)*a^(7/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d - 6*((b*x^3 + a)^(7/3) + 7*(b*x^3 + a)^(1/3)*a^2)/d)/b^3","A",0
569,1,153,0,1.434205," ","integrate(x^5*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","\frac{\frac{4 \, \sqrt{3} 2^{\frac{1}{3}} a^{\frac{4}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} + \frac{2 \cdot 2^{\frac{1}{3}} a^{\frac{4}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} - \frac{4 \cdot 2^{\frac{1}{3}} a^{\frac{4}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} - \frac{3 \, {\left({\left(b x^{3} + a\right)}^{\frac{4}{3}} + 4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a\right)}}{d}}{12 \, b^{2}}"," ",0,"1/12*(4*sqrt(3)*2^(1/3)*a^(4/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d + 2*2^(1/3)*a^(4/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d - 4*2^(1/3)*a^(4/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d - 3*((b*x^3 + a)^(4/3) + 4*(b*x^3 + a)^(1/3)*a)/d)/b^2","A",0
570,1,139,0,1.270952," ","integrate(x^2*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{3} 2^{\frac{1}{3}} a^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} + \frac{2^{\frac{1}{3}} a^{\frac{1}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} - \frac{2 \cdot 2^{\frac{1}{3}} a^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} - \frac{6 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{d}}{6 \, b}"," ",0,"1/6*(2*sqrt(3)*2^(1/3)*a^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d + 2^(1/3)*a^(1/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d - 2*2^(1/3)*a^(1/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d - 6*(b*x^3 + a)^(1/3)/d)/b","A",0
571,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x), x)","F",0
572,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^4/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{4}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^4), x)","F",0
573,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^7/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{7}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^7), x)","F",0
574,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{7}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)*x^7/(b*d*x^3 - a*d), x)","F",0
575,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{4}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)*x^4/(b*d*x^3 - a*d), x)","F",0
576,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)*x/(b*d*x^3 - a*d), x)","F",0
577,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^2/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{2}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^2), x)","F",0
578,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^5/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{5}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^5), x)","F",0
579,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^8/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{8}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^8), x)","F",0
580,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^11/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{11}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^11), x)","F",0
581,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{6}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)*x^6/(b*d*x^3 - a*d), x)","F",0
582,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{3}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)*x^3/(b*d*x^3 - a*d), x)","F",0
583,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/(b*d*x^3 - a*d), x)","F",0
584,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^3/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{3}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^3), x)","F",0
585,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^6/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(b d x^{3} - a d\right)} x^{6}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(1/3)/((b*d*x^3 - a*d)*x^6), x)","F",0
586,1,183,0,1.252010," ","integrate(x^11*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\frac{\frac{440 \, \sqrt{3} 2^{\frac{2}{3}} a^{\frac{11}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} - \frac{220 \cdot 2^{\frac{2}{3}} a^{\frac{11}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} + \frac{440 \cdot 2^{\frac{2}{3}} a^{\frac{11}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} + \frac{3 \, {\left(40 \, {\left(b x^{3} + a\right)}^{\frac{11}{3}} - 55 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} a + 88 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a^{2} + 220 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{3}\right)}}{d}}{1320 \, b^{4}}"," ",0,"-1/1320*(440*sqrt(3)*2^(2/3)*a^(11/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d - 220*2^(2/3)*a^(11/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d + 440*2^(2/3)*a^(11/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d + 3*(40*(b*x^3 + a)^(11/3) - 55*(b*x^3 + a)^(8/3)*a + 88*(b*x^3 + a)^(5/3)*a^2 + 220*(b*x^3 + a)^(2/3)*a^3)/d)/b^4","A",0
587,1,155,0,1.169367," ","integrate(x^8*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\frac{\frac{8 \, \sqrt{3} 2^{\frac{2}{3}} a^{\frac{8}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} - \frac{4 \cdot 2^{\frac{2}{3}} a^{\frac{8}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} + \frac{8 \cdot 2^{\frac{2}{3}} a^{\frac{8}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} + \frac{3 \, {\left({\left(b x^{3} + a\right)}^{\frac{8}{3}} + 4 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{2}\right)}}{d}}{24 \, b^{3}}"," ",0,"-1/24*(8*sqrt(3)*2^(2/3)*a^(8/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d - 4*2^(2/3)*a^(8/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d + 8*2^(2/3)*a^(8/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d + 3*((b*x^3 + a)^(8/3) + 4*(b*x^3 + a)^(2/3)*a^2)/d)/b^3","A",0
588,1,155,0,1.119915," ","integrate(x^5*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\frac{\frac{10 \, \sqrt{3} 2^{\frac{2}{3}} a^{\frac{5}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} - \frac{5 \cdot 2^{\frac{2}{3}} a^{\frac{5}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} + \frac{10 \cdot 2^{\frac{2}{3}} a^{\frac{5}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} + \frac{3 \, {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} + 5 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a\right)}}{d}}{30 \, b^{2}}"," ",0,"-1/30*(10*sqrt(3)*2^(2/3)*a^(5/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d - 5*2^(2/3)*a^(5/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d + 10*2^(2/3)*a^(5/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d + 3*(2*(b*x^3 + a)^(5/3) + 5*(b*x^3 + a)^(2/3)*a)/d)/b^2","A",0
589,1,140,0,1.313636," ","integrate(x^2*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{3} 2^{\frac{2}{3}} a^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}}{6 \, a^{\frac{1}{3}}}\right)}{d} - \frac{2^{\frac{2}{3}} a^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} a^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{2}{3}}\right)}{d} + \frac{2 \cdot 2^{\frac{2}{3}} a^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} a^{\frac{1}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}}\right)}{d} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}}}{d}}{6 \, b}"," ",0,"-1/6*(2*sqrt(3)*2^(2/3)*a^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3)*a^(1/3) + 2*(b*x^3 + a)^(1/3))/a^(1/3))/d - 2^(2/3)*a^(2/3)*log(2^(2/3)*a^(2/3) + 2^(1/3)*(b*x^3 + a)^(1/3)*a^(1/3) + (b*x^3 + a)^(2/3))/d + 2*2^(2/3)*a^(2/3)*log(-2^(1/3)*a^(1/3) + (b*x^3 + a)^(1/3))/d + 3*(b*x^3 + a)^(2/3)/d)/b","A",0
590,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x), x)","F",0
591,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^4/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{4}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^4), x)","F",0
592,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^7/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{7}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^7), x)","F",0
593,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{6}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)*x^6/(b*d*x^3 - a*d), x)","F",0
594,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{3}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)*x^3/(b*d*x^3 - a*d), x)","F",0
595,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/(b*d*x^3 - a*d), x)","F",0
596,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^3/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{3}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^3), x)","F",0
597,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^6/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{6}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^6), x)","F",0
598,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^9/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{9}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^9), x)","F",0
599,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^12/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{12}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^12), x)","F",0
600,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{7}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)*x^7/(b*d*x^3 - a*d), x)","F",0
601,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{4}}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)*x^4/(b*d*x^3 - a*d), x)","F",0
602,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x}{b d x^{3} - a d}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)*x/(b*d*x^3 - a*d), x)","F",0
603,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^2/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{2}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^2), x)","F",0
604,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^5/(-b*d*x^3+a*d),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(b d x^{3} - a d\right)} x^{5}}\,{d x}"," ",0,"-integrate((b*x^3 + a)^(2/3)/((b*d*x^3 - a*d)*x^5), x)","F",0
605,1,119,0,1.240693," ","integrate(x^14/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\frac{1}{11} \, {\left(-x^{3} + 1\right)}^{\frac{11}{3}} - \frac{1}{4} \, {\left(-x^{3} + 1\right)}^{\frac{8}{3}} + \frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{2}{5} \, {\left(-x^{3} + 1\right)}^{\frac{5}{3}} - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)"," ",0,"1/11*(-x^3 + 1)^(11/3) - 1/4*(-x^3 + 1)^(8/3) + 1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 2/5*(-x^3 + 1)^(5/3) - 1/12*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/6*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3))","A",0
606,1,119,0,1.248166," ","integrate(x^11/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(-x^{3} + 1\right)}^{\frac{8}{3}} - \frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{1}{5} \, {\left(-x^{3} + 1\right)}^{\frac{5}{3}} + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) - \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) - \frac{1}{2} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}"," ",0,"-1/8*(-x^3 + 1)^(8/3) - 1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 1/5*(-x^3 + 1)^(5/3) + 1/12*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) - 1/6*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) - 1/2*(-x^3 + 1)^(2/3)","A",0
607,1,97,0,1.189534," ","integrate(x^8/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{1}{5} \, {\left(-x^{3} + 1\right)}^{\frac{5}{3}} - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)"," ",0,"1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 1/5*(-x^3 + 1)^(5/3) - 1/12*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/6*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3))","A",0
608,1,97,0,1.214328," ","integrate(x^5/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) - \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) - \frac{1}{2} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}"," ",0,"-1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 1/12*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) - 1/6*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) - 1/2*(-x^3 + 1)^(2/3)","A",0
609,1,86,0,1.299735," ","integrate(x^2/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)"," ",0,"1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) - 1/12*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/6*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3))","A",0
610,0,0,0,0.000000," ","integrate(1/x/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)*x), x)","F",0
611,0,0,0,0.000000," ","integrate(1/x^4/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{4}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)*x^4), x)","F",0
612,0,0,0,0.000000," ","integrate(x^6/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^6/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
613,0,0,0,0.000000," ","integrate(x^3/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^3/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
614,0,0,0,0.000000," ","integrate(1/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
615,0,0,0,0.000000," ","integrate(1/x^3/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)*x^3), x)","F",0
616,0,0,0,0.000000," ","integrate(1/x^6/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{6}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)*x^6), x)","F",0
617,0,0,0,0.000000," ","integrate(1/x^9/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{9}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)*x^9), x)","F",0
618,0,0,0,0.000000," ","integrate(x^7/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^7/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
619,0,0,0,0.000000," ","integrate(x^4/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^4/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
620,0,0,0,0.000000," ","integrate(x/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
621,0,0,0,0.000000," ","integrate(1/x^2/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)*x^2), x)","F",0
622,0,0,0,0.000000," ","integrate(1/x^5/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{5}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)*x^5), x)","F",0
623,1,119,0,1.521985," ","integrate(x^11/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{7} \, {\left(-x^{3} + 1\right)}^{\frac{7}{3}} + \frac{1}{6} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{1}{4} \, {\left(-x^{3} + 1\right)}^{\frac{4}{3}} + \frac{1}{12} \cdot 2^{\frac{1}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) - \frac{1}{6} \cdot 2^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) - {\left(-x^{3} + 1\right)}^{\frac{1}{3}}"," ",0,"-1/7*(-x^3 + 1)^(7/3) + 1/6*sqrt(3)*2^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 1/4*(-x^3 + 1)^(4/3) + 1/12*2^(1/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) - 1/6*2^(1/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) - (-x^3 + 1)^(1/3)","A",0
624,1,97,0,1.191921," ","integrate(x^8/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{1}{4} \, {\left(-x^{3} + 1\right)}^{\frac{4}{3}} - \frac{1}{12} \cdot 2^{\frac{1}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)"," ",0,"-1/6*sqrt(3)*2^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 1/4*(-x^3 + 1)^(4/3) - 1/12*2^(1/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/6*2^(1/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3))","A",0
625,1,97,0,1.384497," ","integrate(x^5/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{1}{12} \cdot 2^{\frac{1}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) - \frac{1}{6} \cdot 2^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) - {\left(-x^{3} + 1\right)}^{\frac{1}{3}}"," ",0,"1/6*sqrt(3)*2^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 1/12*2^(1/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) - 1/6*2^(1/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) - (-x^3 + 1)^(1/3)","A",0
626,1,86,0,1.176455," ","integrate(x^2/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 2^{\frac{1}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)"," ",0,"-1/6*sqrt(3)*2^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) - 1/12*2^(1/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/6*2^(1/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3))","A",0
627,0,0,0,0.000000," ","integrate(1/x/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(2/3)*x), x)","F",0
628,0,0,0,0.000000," ","integrate(1/x^4/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x^{4}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(2/3)*x^4), x)","F",0
629,0,0,0,0.000000," ","integrate(x^7/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^7/((x^3 + 1)*(-x^3 + 1)^(2/3)), x)","F",0
630,0,0,0,0.000000," ","integrate(x^4/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^4/((x^3 + 1)*(-x^3 + 1)^(2/3)), x)","F",0
631,0,0,0,0.000000," ","integrate(x/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x/((x^3 + 1)*(-x^3 + 1)^(2/3)), x)","F",0
632,0,0,0,0.000000," ","integrate(1/x^2/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(2/3)*x^2), x)","F",0
633,0,0,0,0.000000," ","integrate(1/x^5/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x^{5}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(2/3)*x^5), x)","F",0
634,0,0,0,0.000000," ","integrate(x^6/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^6/((x^3 + 1)*(-x^3 + 1)^(2/3)), x)","F",0
635,0,0,0,0.000000," ","integrate(x^3/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^3/((x^3 + 1)*(-x^3 + 1)^(2/3)), x)","F",0
636,0,0,0,0.000000," ","integrate(1/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(2/3)), x)","F",0
637,0,0,0,0.000000," ","integrate(1/x^3/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(2/3)*x^3), x)","F",0
638,1,128,0,1.065879," ","integrate(x^14/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(-x^{3} + 1\right)}^{\frac{8}{3}} + \frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{2}{5} \, {\left(-x^{3} + 1\right)}^{\frac{5}{3}} - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) + {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + \frac{1}{2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}"," ",0,"1/8*(-x^3 + 1)^(8/3) + 1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) - 2/5*(-x^3 + 1)^(5/3) - 1/24*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/12*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) + (-x^3 + 1)^(2/3) + 1/2/(-x^3 + 1)^(1/3)","A",0
639,1,119,0,1.274033," ","integrate(x^11/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{5} \, {\left(-x^{3} + 1\right)}^{\frac{5}{3}} + \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) + \frac{1}{2} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + \frac{1}{2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}"," ",0,"-1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) - 1/5*(-x^3 + 1)^(5/3) + 1/24*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) - 1/12*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) + 1/2*(-x^3 + 1)^(2/3) + 1/2/(-x^3 + 1)^(1/3)","A",0
640,1,108,0,1.271468," ","integrate(x^8/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) + \frac{1}{2} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + \frac{1}{2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}"," ",0,"1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) - 1/24*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/12*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) + 1/2*(-x^3 + 1)^(2/3) + 1/2/(-x^3 + 1)^(1/3)","A",0
641,1,97,0,1.526409," ","integrate(x^5/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) + \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) + \frac{1}{2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}"," ",0,"-1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) + 1/24*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) - 1/12*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) + 1/2/(-x^3 + 1)^(1/3)","A",0
642,1,97,0,1.337639," ","integrate(x^2/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right) + \frac{1}{2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}"," ",0,"1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) - 1/24*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/12*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3)) + 1/2/(-x^3 + 1)^(1/3)","A",0
643,0,0,0,0.000000," ","integrate(1/x/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}} x}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)*x), x)","F",0
644,0,0,0,0.000000," ","integrate(1/x^4/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}} x^{4}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)*x^4), x)","F",0
645,0,0,0,0.000000," ","integrate(x^9/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^9/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
646,0,0,0,0.000000," ","integrate(x^6/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^6/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
647,0,0,0,0.000000," ","integrate(x^3/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^3/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
648,0,0,0,0.000000," ","integrate(1/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
649,0,0,0,0.000000," ","integrate(1/x^3/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)*x^3), x)","F",0
650,0,0,0,0.000000," ","integrate(1/x^6/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}} x^{6}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)*x^6), x)","F",0
651,0,0,0,0.000000," ","integrate(1/x^9/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}} x^{9}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)*x^9), x)","F",0
652,0,0,0,0.000000," ","integrate(x^10/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^10/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
653,0,0,0,0.000000," ","integrate(x^7/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^7/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
654,0,0,0,0.000000," ","integrate(x^4/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^4/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
655,0,0,0,0.000000," ","integrate(x/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x/((x^3 + 1)*(-x^3 + 1)^(4/3)), x)","F",0
656,0,0,0,0.000000," ","integrate(1/x^2/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)*x^2), x)","F",0
657,0,0,0,0.000000," ","integrate(1/x^5/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{4}{3}} x^{5}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(4/3)*x^5), x)","F",0
658,-2,0,0,0.000000," ","integrate(x^11*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
659,-2,0,0,0.000000," ","integrate(x^8*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
660,-2,0,0,0.000000," ","integrate(x^5*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
661,-2,0,0,0.000000," ","integrate(x^2*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
662,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x), x)","F",0
663,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^4/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{4}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^4), x)","F",0
664,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^7/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{7}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^7), x)","F",0
665,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{7}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*x^7/(d*x^3 + c), x)","F",0
666,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{4}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*x^4/(d*x^3 + c), x)","F",0
667,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*x/(d*x^3 + c), x)","F",0
668,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^2/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{2}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^2), x)","F",0
669,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^5/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{5}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^5), x)","F",0
670,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^8/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{8}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^8), x)","F",0
671,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^11/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{11}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^11), x)","F",0
672,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{6}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*x^6/(d*x^3 + c), x)","F",0
673,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{3}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*x^3/(d*x^3 + c), x)","F",0
674,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/(d*x^3 + c), x)","F",0
675,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^3/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{3}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^3), x)","F",0
676,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^6/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x^{3} + c\right)} x^{6}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/((d*x^3 + c)*x^6), x)","F",0
677,-2,0,0,0.000000," ","integrate(x^11*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
678,-2,0,0,0.000000," ","integrate(x^8*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
679,-2,0,0,0.000000," ","integrate(x^5*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
680,-2,0,0,0.000000," ","integrate(x^2*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
681,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x), x)","F",0
682,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^4/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{4}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^4), x)","F",0
683,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^7/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{7}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^7), x)","F",0
684,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{6}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*x^6/(d*x^3 + c), x)","F",0
685,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{3}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*x^3/(d*x^3 + c), x)","F",0
686,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/(d*x^3 + c), x)","F",0
687,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^3/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{3}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^3), x)","F",0
688,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^6/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{6}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^6), x)","F",0
689,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^9/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{9}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^9), x)","F",0
690,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^12/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{12}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^12), x)","F",0
691,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{7}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*x^7/(d*x^3 + c), x)","F",0
692,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{4}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*x^4/(d*x^3 + c), x)","F",0
693,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*x/(d*x^3 + c), x)","F",0
694,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^2/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{2}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^2), x)","F",0
695,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^5/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{{\left(d x^{3} + c\right)} x^{5}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/((d*x^3 + c)*x^5), x)","F",0
696,-2,0,0,0.000000," ","integrate(x^8*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
697,-2,0,0,0.000000," ","integrate(x^5*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
698,-2,0,0,0.000000," ","integrate(x^2*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
699,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x), x)","F",0
700,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^4/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{4}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^4), x)","F",0
701,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^7/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{7}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^7), x)","F",0
702,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} x^{4}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)*x^4/(d*x^3 + c), x)","F",0
703,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} x}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)*x/(d*x^3 + c), x)","F",0
704,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^2/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{2}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^2), x)","F",0
705,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^5/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{5}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^5), x)","F",0
706,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^8/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{8}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^8), x)","F",0
707,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^11/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{11}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^11), x)","F",0
708,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^14/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{14}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^14), x)","F",0
709,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} x^{6}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)*x^6/(d*x^3 + c), x)","F",0
710,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} x^{3}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)*x^3/(d*x^3 + c), x)","F",0
711,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{d x^{3} + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/(d*x^3 + c), x)","F",0
712,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^3/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{3}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^3), x)","F",0
713,0,0,0,0.000000," ","integrate((b*x^3+a)^(4/3)/x^6/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{{\left(d x^{3} + c\right)} x^{6}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)/((d*x^3 + c)*x^6), x)","F",0
714,-2,0,0,0.000000," ","integrate(x^14/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
715,-2,0,0,0.000000," ","integrate(x^11/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
716,-2,0,0,0.000000," ","integrate(x^8/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
717,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
718,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
719,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)*x), x)","F",0
720,0,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)*x^4), x)","F",0
721,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^6/((b*x^3 + a)^(1/3)*(d*x^3 + c)), x)","F",0
722,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^3/((b*x^3 + a)^(1/3)*(d*x^3 + c)), x)","F",0
723,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)), x)","F",0
724,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)*x^3), x)","F",0
725,0,0,0,0.000000," ","integrate(1/x^6/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)*x^6), x)","F",0
726,0,0,0,0.000000," ","integrate(1/x^9/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)} x^{9}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)*x^9), x)","F",0
727,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^7/((b*x^3 + a)^(1/3)*(d*x^3 + c)), x)","F",0
728,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^4/((b*x^3 + a)^(1/3)*(d*x^3 + c)), x)","F",0
729,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x/((b*x^3 + a)^(1/3)*(d*x^3 + c)), x)","F",0
730,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)*x^2), x)","F",0
731,0,0,0,0.000000," ","integrate(1/x^5/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x^{3} + c\right)} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x^3 + c)*x^5), x)","F",0
732,-2,0,0,0.000000," ","integrate(x^11/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
733,-2,0,0,0.000000," ","integrate(x^8/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
734,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
735,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
736,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x^3 + c)*x), x)","F",0
737,0,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x^3 + c)*x^4), x)","F",0
738,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^7/((b*x^3 + a)^(2/3)*(d*x^3 + c)), x)","F",0
739,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^4/((b*x^3 + a)^(2/3)*(d*x^3 + c)), x)","F",0
740,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x/((b*x^3 + a)^(2/3)*(d*x^3 + c)), x)","F",0
741,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x^3 + c)*x^2), x)","F",0
742,0,0,0,0.000000," ","integrate(1/x^5/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x^3 + c)*x^5), x)","F",0
743,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^6/((b*x^3 + a)^(2/3)*(d*x^3 + c)), x)","F",0
744,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^3/((b*x^3 + a)^(2/3)*(d*x^3 + c)), x)","F",0
745,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x^3 + c)), x)","F",0
746,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x^{3} + c\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x^3 + c)*x^3), x)","F",0
747,-2,0,0,0.000000," ","integrate(x^14/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
748,-2,0,0,0.000000," ","integrate(x^11/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
749,-2,0,0,0.000000," ","integrate(x^8/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
750,-2,0,0,0.000000," ","integrate(x^5/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
751,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
752,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)*x), x)","F",0
753,0,0,0,0.000000," ","integrate(1/x^4/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)*x^4), x)","F",0
754,0,0,0,0.000000," ","integrate(x^9/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^9/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
755,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^6/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
756,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^3/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
757,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
758,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)*x^3), x)","F",0
759,0,0,0,0.000000," ","integrate(1/x^6/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)*x^6), x)","F",0
760,0,0,0,0.000000," ","integrate(1/x^9/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)} x^{9}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)*x^9), x)","F",0
761,0,0,0,0.000000," ","integrate(x^10/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^10/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
762,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^7/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
763,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x^4/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
764,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)}}\,{d x}"," ",0,"integrate(x/((b*x^3 + a)^(4/3)*(d*x^3 + c)), x)","F",0
765,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)*x^2), x)","F",0
766,0,0,0,0.000000," ","integrate(1/x^5/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{4}{3}} {\left(d x^{3} + c\right)} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(4/3)*(d*x^3 + c)*x^5), x)","F",0
767,1,84,0,0.467141," ","integrate(x^15/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(b x^{4} + a\right)}{4 \, {\left(b^{4} c - a b^{3} d\right)}} + \frac{c^{3} \log\left(d x^{4} + c\right)}{4 \, {\left(b c d^{3} - a d^{4}\right)}} + \frac{b d x^{8} - 2 \, {\left(b c + a d\right)} x^{4}}{8 \, b^{2} d^{2}}"," ",0,"-1/4*a^3*log(b*x^4 + a)/(b^4*c - a*b^3*d) + 1/4*c^3*log(d*x^4 + c)/(b*c*d^3 - a*d^4) + 1/8*(b*d*x^8 - 2*(b*c + a*d)*x^4)/(b^2*d^2)","A",0
768,1,68,0,0.570171," ","integrate(x^11/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{x^{4}}{4 \, b d} + \frac{a^{2} \log\left(b x^{4} + a\right)}{4 \, {\left(b^{3} c - a b^{2} d\right)}} - \frac{c^{2} \log\left(d x^{4} + c\right)}{4 \, {\left(b c d^{2} - a d^{3}\right)}}"," ",0,"1/4*x^4/(b*d) + 1/4*a^2*log(b*x^4 + a)/(b^3*c - a*b^2*d) - 1/4*c^2*log(d*x^4 + c)/(b*c*d^2 - a*d^3)","A",0
769,1,49,0,0.620860," ","integrate(x^7/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{a \log\left(b x^{4} + a\right)}{4 \, {\left(b^{2} c - a b d\right)}} + \frac{c \log\left(d x^{4} + c\right)}{4 \, {\left(b c d - a d^{2}\right)}}"," ",0,"-1/4*a*log(b*x^4 + a)/(b^2*c - a*b*d) + 1/4*c*log(d*x^4 + c)/(b*c*d - a*d^2)","A",0
770,1,41,0,0.519462," ","integrate(x^3/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{\log\left(b x^{4} + a\right)}{4 \, {\left(b c - a d\right)}} - \frac{\log\left(d x^{4} + c\right)}{4 \, {\left(b c - a d\right)}}"," ",0,"1/4*log(b*x^4 + a)/(b*c - a*d) - 1/4*log(d*x^4 + c)/(b*c - a*d)","A",0
771,1,61,0,0.710064," ","integrate(1/x/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{b \log\left(b x^{4} + a\right)}{4 \, {\left(a b c - a^{2} d\right)}} + \frac{d \log\left(d x^{4} + c\right)}{4 \, {\left(b c^{2} - a c d\right)}} + \frac{\log\left(x^{4}\right)}{4 \, a c}"," ",0,"-1/4*b*log(b*x^4 + a)/(a*b*c - a^2*d) + 1/4*d*log(d*x^4 + c)/(b*c^2 - a*c*d) + 1/4*log(x^4)/(a*c)","A",0
772,1,87,0,0.554388," ","integrate(1/x^5/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{b^{2} \log\left(b x^{4} + a\right)}{4 \, {\left(a^{2} b c - a^{3} d\right)}} - \frac{d^{2} \log\left(d x^{4} + c\right)}{4 \, {\left(b c^{3} - a c^{2} d\right)}} - \frac{{\left(b c + a d\right)} \log\left(x^{4}\right)}{4 \, a^{2} c^{2}} - \frac{1}{4 \, a c x^{4}}"," ",0,"1/4*b^2*log(b*x^4 + a)/(a^2*b*c - a^3*d) - 1/4*d^2*log(d*x^4 + c)/(b*c^3 - a*c^2*d) - 1/4*(b*c + a*d)*log(x^4)/(a^2*c^2) - 1/4/(a*c*x^4)","A",0
773,1,100,0,1.324891," ","integrate(x^13/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{a^{3} \arctan\left(\frac{b x^{2}}{\sqrt{a b}}\right)}{2 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{a b}} + \frac{c^{3} \arctan\left(\frac{d x^{2}}{\sqrt{c d}}\right)}{2 \, {\left(b c d^{2} - a d^{3}\right)} \sqrt{c d}} + \frac{b d x^{6} - 3 \, {\left(b c + a d\right)} x^{2}}{6 \, b^{2} d^{2}}"," ",0,"-1/2*a^3*arctan(b*x^2/sqrt(a*b))/((b^3*c - a*b^2*d)*sqrt(a*b)) + 1/2*c^3*arctan(d*x^2/sqrt(c*d))/((b*c*d^2 - a*d^3)*sqrt(c*d)) + 1/6*(b*d*x^6 - 3*(b*c + a*d)*x^2)/(b^2*d^2)","A",0
774,1,80,0,1.188503," ","integrate(x^9/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{a^{2} \arctan\left(\frac{b x^{2}}{\sqrt{a b}}\right)}{2 \, {\left(b^{2} c - a b d\right)} \sqrt{a b}} - \frac{c^{2} \arctan\left(\frac{d x^{2}}{\sqrt{c d}}\right)}{2 \, {\left(b c d - a d^{2}\right)} \sqrt{c d}} + \frac{x^{2}}{2 \, b d}"," ",0,"1/2*a^2*arctan(b*x^2/sqrt(a*b))/((b^2*c - a*b*d)*sqrt(a*b)) - 1/2*c^2*arctan(d*x^2/sqrt(c*d))/((b*c*d - a*d^2)*sqrt(c*d)) + 1/2*x^2/(b*d)","A",0
775,1,59,0,1.164920," ","integrate(x^5/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{b x^{2}}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} {\left(b c - a d\right)}} + \frac{c \arctan\left(\frac{d x^{2}}{\sqrt{c d}}\right)}{2 \, {\left(b c - a d\right)} \sqrt{c d}}"," ",0,"-1/2*a*arctan(b*x^2/sqrt(a*b))/(sqrt(a*b)*(b*c - a*d)) + 1/2*c*arctan(d*x^2/sqrt(c*d))/((b*c - a*d)*sqrt(c*d))","A",0
776,1,59,0,1.277095," ","integrate(x/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{b \arctan\left(\frac{b x^{2}}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} {\left(b c - a d\right)}} - \frac{d \arctan\left(\frac{d x^{2}}{\sqrt{c d}}\right)}{2 \, {\left(b c - a d\right)} \sqrt{c d}}"," ",0,"1/2*b*arctan(b*x^2/sqrt(a*b))/(sqrt(a*b)*(b*c - a*d)) - 1/2*d*arctan(d*x^2/sqrt(c*d))/((b*c - a*d)*sqrt(c*d))","A",0
777,1,80,0,1.201905," ","integrate(1/x^3/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{b^{2} \arctan\left(\frac{b x^{2}}{\sqrt{a b}}\right)}{2 \, {\left(a b c - a^{2} d\right)} \sqrt{a b}} + \frac{d^{2} \arctan\left(\frac{d x^{2}}{\sqrt{c d}}\right)}{2 \, {\left(b c^{2} - a c d\right)} \sqrt{c d}} - \frac{1}{2 \, a c x^{2}}"," ",0,"-1/2*b^2*arctan(b*x^2/sqrt(a*b))/((a*b*c - a^2*d)*sqrt(a*b)) + 1/2*d^2*arctan(d*x^2/sqrt(c*d))/((b*c^2 - a*c*d)*sqrt(c*d)) - 1/2/(a*c*x^2)","A",0
778,1,101,0,1.512819," ","integrate(1/x^7/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{b^{3} \arctan\left(\frac{b x^{2}}{\sqrt{a b}}\right)}{2 \, {\left(a^{2} b c - a^{3} d\right)} \sqrt{a b}} - \frac{d^{3} \arctan\left(\frac{d x^{2}}{\sqrt{c d}}\right)}{2 \, {\left(b c^{3} - a c^{2} d\right)} \sqrt{c d}} + \frac{3 \, {\left(b c + a d\right)} x^{4} - a c}{6 \, a^{2} c^{2} x^{6}}"," ",0,"1/2*b^3*arctan(b*x^2/sqrt(a*b))/((a^2*b*c - a^3*d)*sqrt(a*b)) - 1/2*d^3*arctan(d*x^2/sqrt(c*d))/((b*c^3 - a*c^2*d)*sqrt(c*d)) + 1/6*(3*(b*c + a*d)*x^4 - a*c)/(a^2*c^2*x^6)","A",0
779,1,375,0,1.215666," ","integrate(x^8/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{2} a^{\frac{3}{2}} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} a^{\frac{3}{2}} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} a^{\frac{5}{4}} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} a^{\frac{5}{4}} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{b^{\frac{1}{4}}}}{8 \, {\left(b^{2} c - a b d\right)}} - \frac{\frac{2 \, \sqrt{2} c^{\frac{3}{2}} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}}} + \frac{2 \, \sqrt{2} c^{\frac{3}{2}} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}}} + \frac{\sqrt{2} c^{\frac{5}{4}} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{d^{\frac{1}{4}}} - \frac{\sqrt{2} c^{\frac{5}{4}} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{d^{\frac{1}{4}}}}{8 \, {\left(b c d - a d^{2}\right)}} + \frac{x}{b d}"," ",0,"1/8*(2*sqrt(2)*a^(3/2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 2*sqrt(2)*a^(3/2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + sqrt(2)*a^(5/4)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/b^(1/4) - sqrt(2)*a^(5/4)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/b^(1/4))/(b^2*c - a*b*d) - 1/8*(2*sqrt(2)*c^(3/2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/sqrt(sqrt(c)*sqrt(d)) + 2*sqrt(2)*c^(3/2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/sqrt(sqrt(c)*sqrt(d)) + sqrt(2)*c^(5/4)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/d^(1/4) - sqrt(2)*c^(5/4)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/d^(1/4))/(b*c*d - a*d^2) + x/(b*d)","A",0
780,1,363,0,1.421164," ","integrate(x^6/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{a {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{8 \, {\left(b c - a d\right)}} + \frac{c {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}}\right)}}{8 \, {\left(b c - a d\right)}}"," ",0,"-1/8*a*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/(b*c - a*d) + 1/8*c*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) - sqrt(2)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)) + sqrt(2)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)))/(b*c - a*d)","A",0
781,1,361,0,1.393250," ","integrate(x^4/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{b^{\frac{1}{4}}}}{8 \, {\left(b c - a d\right)}} + \frac{\frac{2 \, \sqrt{2} \sqrt{c} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}}} + \frac{2 \, \sqrt{2} \sqrt{c} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}}} + \frac{\sqrt{2} c^{\frac{1}{4}} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{d^{\frac{1}{4}}} - \frac{\sqrt{2} c^{\frac{1}{4}} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{d^{\frac{1}{4}}}}{8 \, {\left(b c - a d\right)}}"," ",0,"-1/8*(2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + sqrt(2)*a^(1/4)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/b^(1/4) - sqrt(2)*a^(1/4)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/b^(1/4))/(b*c - a*d) + 1/8*(2*sqrt(2)*sqrt(c)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/sqrt(sqrt(c)*sqrt(d)) + 2*sqrt(2)*sqrt(c)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/sqrt(sqrt(c)*sqrt(d)) + sqrt(2)*c^(1/4)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/d^(1/4) - sqrt(2)*c^(1/4)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/d^(1/4))/(b*c - a*d)","A",0
782,1,363,0,1.206738," ","integrate(x^2/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{b {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{8 \, {\left(b c - a d\right)}} - \frac{d {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}}\right)}}{8 \, {\left(b c - a d\right)}}"," ",0,"1/8*b*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/(b*c - a*d) - 1/8*d*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) - sqrt(2)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)) + sqrt(2)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)))/(b*c - a*d)","A",0
783,1,365,0,1.383816," ","integrate(1/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{2} b \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} b \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}}}{8 \, {\left(b c - a d\right)}} - \frac{\frac{2 \, \sqrt{2} d \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{c} \sqrt{\sqrt{c} \sqrt{d}}} + \frac{2 \, \sqrt{2} d \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{c} \sqrt{\sqrt{c} \sqrt{d}}} + \frac{\sqrt{2} d^{\frac{3}{4}} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{3}{4}}} - \frac{\sqrt{2} d^{\frac{3}{4}} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{3}{4}}}}{8 \, {\left(b c - a d\right)}}"," ",0,"1/8*(2*sqrt(2)*b*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*b*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*b^(3/4)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/a^(3/4) - sqrt(2)*b^(3/4)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/a^(3/4))/(b*c - a*d) - 1/8*(2*sqrt(2)*d*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(c)*sqrt(sqrt(c)*sqrt(d))) + 2*sqrt(2)*d*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(c)*sqrt(sqrt(c)*sqrt(d))) + sqrt(2)*d^(3/4)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/c^(3/4) - sqrt(2)*d^(3/4)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/c^(3/4))/(b*c - a*d)","A",0
784,1,384,0,1.266237," ","integrate(1/x^2/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{b^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{8 \, {\left(a b c - a^{2} d\right)}} + \frac{d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}}\right)}}{8 \, {\left(b c^{2} - a c d\right)}} - \frac{1}{a c x}"," ",0,"-1/8*b^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/(a*b*c - a^2*d) + 1/8*d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) - sqrt(2)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)) + sqrt(2)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)))/(b*c^2 - a*c*d) - 1/(a*c*x)","A",0
785,1,390,0,1.360256," ","integrate(1/x^4/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} b^{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} b^{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} b^{\frac{7}{4}} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} b^{\frac{7}{4}} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}}}{8 \, {\left(a b c - a^{2} d\right)}} + \frac{\frac{2 \, \sqrt{2} d^{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{c} \sqrt{\sqrt{c} \sqrt{d}}} + \frac{2 \, \sqrt{2} d^{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{c} \sqrt{\sqrt{c} \sqrt{d}}} + \frac{\sqrt{2} d^{\frac{7}{4}} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{3}{4}}} - \frac{\sqrt{2} d^{\frac{7}{4}} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{3}{4}}}}{8 \, {\left(b c^{2} - a c d\right)}} - \frac{1}{3 \, a c x^{3}}"," ",0,"-1/8*(2*sqrt(2)*b^2*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*b^2*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*b^(7/4)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/a^(3/4) - sqrt(2)*b^(7/4)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/a^(3/4))/(a*b*c - a^2*d) + 1/8*(2*sqrt(2)*d^2*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(c)*sqrt(sqrt(c)*sqrt(d))) + 2*sqrt(2)*d^2*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(c)*sqrt(sqrt(c)*sqrt(d))) + sqrt(2)*d^(7/4)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/c^(3/4) - sqrt(2)*d^(7/4)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/c^(3/4))/(b*c^2 - a*c*d) - 1/3/(a*c*x^3)","A",0
786,1,405,0,1.234551," ","integrate(1/x^6/(b*x^4+a)/(d*x^4+c),x, algorithm=""maxima"")","\frac{b^{3} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{8 \, {\left(a^{2} b c - a^{3} d\right)}} - \frac{d^{3} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{d} x - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{c} \sqrt{d}}}\right)}{\sqrt{\sqrt{c} \sqrt{d}} \sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} + \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{d} x^{2} - \sqrt{2} c^{\frac{1}{4}} d^{\frac{1}{4}} x + \sqrt{c}\right)}{c^{\frac{1}{4}} d^{\frac{3}{4}}}\right)}}{8 \, {\left(b c^{3} - a c^{2} d\right)}} + \frac{5 \, {\left(b c + a d\right)} x^{4} - a c}{5 \, a^{2} c^{2} x^{5}}"," ",0,"1/8*b^3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/(a^2*b*c - a^3*d) - 1/8*d^3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x + sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(d)*x - sqrt(2)*c^(1/4)*d^(1/4))/sqrt(sqrt(c)*sqrt(d)))/(sqrt(sqrt(c)*sqrt(d))*sqrt(d)) - sqrt(2)*log(sqrt(d)*x^2 + sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)) + sqrt(2)*log(sqrt(d)*x^2 - sqrt(2)*c^(1/4)*d^(1/4)*x + sqrt(c))/(c^(1/4)*d^(3/4)))/(b*c^3 - a*c^2*d) + 1/5*(5*(b*c + a*d)*x^4 - a*c)/(a^2*c^2*x^5)","A",0
787,-2,0,0,0.000000," ","integrate(x^7*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
788,0,0,0,0.000000," ","integrate(x^5*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c} x^{5}}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)*x^5/(b*x^4 + a), x)","F",0
789,-2,0,0,0.000000," ","integrate(x^3*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
790,0,0,0,0.000000," ","integrate(x*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c} x}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)*x/(b*x^4 + a), x)","F",0
791,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/x/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} x}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*x), x)","F",0
792,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/x^3/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*x^3), x)","F",0
793,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/x^5/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} x^{5}}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*x^5), x)","F",0
794,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/x^7/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} x^{7}}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*x^7), x)","F",0
795,0,0,0,0.000000," ","integrate(x^6*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c} x^{6}}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)*x^6/(b*x^4 + a), x)","F",0
796,0,0,0,0.000000," ","integrate(x^4*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c} x^{4}}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)*x^4/(b*x^4 + a), x)","F",0
797,0,0,0,0.000000," ","integrate(x^2*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c} x^{2}}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)*x^2/(b*x^4 + a), x)","F",0
798,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/(b*x^4 + a), x)","F",0
799,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/x^2/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*x^2), x)","F",0
800,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/x^4/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*x^4), x)","F",0
801,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c} \left(e x\right)^{\frac{3}{2}}}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)*(e*x)^(3/2)/(b*x^4 + a), x)","F",0
802,0,0,0,0.000000," ","integrate((e*x)^(1/2)*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c} \sqrt{e x}}{b x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)*sqrt(e*x)/(b*x^4 + a), x)","F",0
803,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/(e*x)^(1/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} \sqrt{e x}}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*sqrt(e*x)), x)","F",0
804,0,0,0,0.000000," ","integrate((d*x^4+c)^(1/2)/(e*x)^(3/2)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{4} + c}}{{\left(b x^{4} + a\right)} \left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*x^4 + c)/((b*x^4 + a)*(e*x)^(3/2)), x)","F",0
805,-2,0,0,0.000000," ","integrate(x^11/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
806,-2,0,0,0.000000," ","integrate(x^7/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
807,-2,0,0,0.000000," ","integrate(x^3/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
808,0,0,0,0.000000," ","integrate(1/x/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(d*x^4 + c)*x), x)","F",0
809,0,0,0,0.000000," ","integrate(1/x^5/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(d*x^4 + c)*x^5), x)","F",0
810,0,0,0,0.000000," ","integrate(x^9/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^9/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
811,0,0,0,0.000000," ","integrate(x^5/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^5/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
812,0,0,0,0.000000," ","integrate(x/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
813,0,0,0,0.000000," ","integrate(1/x^3/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(d*x^4 + c)*x^3), x)","F",0
814,0,0,0,0.000000," ","integrate(1/x^7/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(d*x^4 + c)*x^7), x)","F",0
815,0,0,0,0.000000," ","integrate(x^8/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^8/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
816,0,0,0,0.000000," ","integrate(x^4/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^4/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
817,0,0,0,0.000000," ","integrate(1/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
818,0,0,0,0.000000," ","integrate(1/x^4/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(d*x^4 + c)*x^4), x)","F",0
819,0,0,0,0.000000," ","integrate(x^6/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^6/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
820,0,0,0,0.000000," ","integrate(x^2/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^2/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
821,0,0,0,0.000000," ","integrate(1/x^2/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(d*x^4 + c)*x^2), x)","F",0
822,-2,0,0,0.000000," ","integrate(x^15/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
823,-2,0,0,0.000000," ","integrate(x^11/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
824,-2,0,0,0.000000," ","integrate(x^7/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
825,-2,0,0,0.000000," ","integrate(x^3/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
826,0,0,0,0.000000," ","integrate(1/x/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^2*sqrt(d*x^4 + c)*x), x)","F",0
827,0,0,0,0.000000," ","integrate(1/x^5/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^2*sqrt(d*x^4 + c)*x^5), x)","F",0
828,0,0,0,0.000000," ","integrate(x^13/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^13/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
829,0,0,0,0.000000," ","integrate(x^9/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^9/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
830,0,0,0,0.000000," ","integrate(x^5/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^5/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
831,0,0,0,0.000000," ","integrate(x/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
832,0,0,0,0.000000," ","integrate(1/x^3/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^2*sqrt(d*x^4 + c)*x^3), x)","F",0
833,0,0,0,0.000000," ","integrate(1/x^7/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^2*sqrt(d*x^4 + c)*x^7), x)","F",0
834,0,0,0,0.000000," ","integrate(x^8/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^8/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
835,0,0,0,0.000000," ","integrate(x^4/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^4/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
836,0,0,0,0.000000," ","integrate(1/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
837,0,0,0,0.000000," ","integrate(1/x^4/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^2*sqrt(d*x^4 + c)*x^4), x)","F",0
838,0,0,0,0.000000," ","integrate(x^6/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^6/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
839,0,0,0,0.000000," ","integrate(x^2/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate(x^2/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
840,0,0,0,0.000000," ","integrate(1/x^2/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^2*sqrt(d*x^4 + c)*x^2), x)","F",0
841,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{2} \left(e x\right)^{m}}{\sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate((b*x^4 + a)^2*(e*x)^m/sqrt(d*x^4 + c), x)","F",0
842,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)} \left(e x\right)^{m}}{\sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate((b*x^4 + a)*(e*x)^m/sqrt(d*x^4 + c), x)","F",0
843,0,0,0,0.000000," ","integrate((e*x)^m/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{\sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate((e*x)^m/sqrt(d*x^4 + c), x)","F",0
844,0,0,0,0.000000," ","integrate((e*x)^m/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{4} + a\right)} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^4 + a)*sqrt(d*x^4 + c)), x)","F",0
845,0,0,0,0.000000," ","integrate((e*x)^m/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{4} + a\right)}^{2} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^4 + a)^2*sqrt(d*x^4 + c)), x)","F",0
846,0,0,0,0.000000," ","integrate((e*x)^m/(b*x^4+a)^3/(d*x^4+c)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{4} + a\right)}^{3} \sqrt{d x^{4} + c}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^4 + a)^3*sqrt(d*x^4 + c)), x)","F",0
847,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^4+a)^2/(d*x^4+c)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{2} \left(e x\right)^{m}}{{\left(d x^{4} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^4 + a)^2*(e*x)^m/(d*x^4 + c)^(3/2), x)","F",0
848,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^4+a)/(d*x^4+c)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)} \left(e x\right)^{m}}{{\left(d x^{4} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^4 + a)*(e*x)^m/(d*x^4 + c)^(3/2), x)","F",0
849,0,0,0,0.000000," ","integrate((e*x)^m/(d*x^4+c)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(d x^{4} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x)^m/(d*x^4 + c)^(3/2), x)","F",0
850,0,0,0,0.000000," ","integrate((e*x)^m/(b*x^4+a)/(d*x^4+c)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{4} + a\right)} {\left(d x^{4} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^4 + a)*(d*x^4 + c)^(3/2)), x)","F",0
851,0,0,0,0.000000," ","integrate((e*x)^m/(b*x^4+a)^2/(d*x^4+c)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{4} + a\right)}^{2} {\left(d x^{4} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^4 + a)^2*(d*x^4 + c)^(3/2)), x)","F",0
852,0,0,0,0.000000," ","integrate((e*x)^m/(b*x^4+a)^3/(d*x^4+c)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{4} + a\right)}^{3} {\left(d x^{4} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^4 + a)^3*(d*x^4 + c)^(3/2)), x)","F",0
853,-2,0,0,0.000000," ","integrate(x^17/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
854,-2,0,0,0.000000," ","integrate(x^11/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
855,-2,0,0,0.000000," ","integrate(x^5/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
856,0,0,0,0.000000," ","integrate(1/x/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)*x), x)","F",0
857,0,0,0,0.000000," ","integrate(1/x^7/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)*x^7), x)","F",0
858,0,0,0,0.000000," ","integrate(x^14/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{14}}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^14/((b*x^6 + a)*sqrt(d*x^6 + c)), x)","F",0
859,0,0,0,0.000000," ","integrate(x^8/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^8/((b*x^6 + a)*sqrt(d*x^6 + c)), x)","F",0
860,0,0,0,0.000000," ","integrate(x^2/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^2/((b*x^6 + a)*sqrt(d*x^6 + c)), x)","F",0
861,0,0,0,0.000000," ","integrate(1/x^4/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)*x^4), x)","F",0
862,0,0,0,0.000000," ","integrate(1/x^10/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c} x^{10}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)*x^10), x)","F",0
863,0,0,0,0.000000," ","integrate(x^4/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^4/((b*x^6 + a)*sqrt(d*x^6 + c)), x)","F",0
864,0,0,0,0.000000," ","integrate(x^3/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^3/((b*x^6 + a)*sqrt(d*x^6 + c)), x)","F",0
865,0,0,0,0.000000," ","integrate(x/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x/((b*x^6 + a)*sqrt(d*x^6 + c)), x)","F",0
866,0,0,0,0.000000," ","integrate(1/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)), x)","F",0
867,0,0,0,0.000000," ","integrate(1/x^2/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)*x^2), x)","F",0
868,0,0,0,0.000000," ","integrate(1/x^3/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)*x^3), x)","F",0
869,0,0,0,0.000000," ","integrate(1/x^5/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)} \sqrt{d x^{6} + c} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)*sqrt(d*x^6 + c)*x^5), x)","F",0
870,-2,0,0,0.000000," ","integrate(x^17/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
871,-2,0,0,0.000000," ","integrate(x^11/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
872,-2,0,0,0.000000," ","integrate(x^5/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
873,0,0,0,0.000000," ","integrate(1/x/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)*x), x)","F",0
874,0,0,0,0.000000," ","integrate(1/x^7/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)*x^7), x)","F",0
875,0,0,0,0.000000," ","integrate(x^14/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{14}}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^14/((b*x^6 + a)^2*sqrt(d*x^6 + c)), x)","F",0
876,0,0,0,0.000000," ","integrate(x^8/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^8/((b*x^6 + a)^2*sqrt(d*x^6 + c)), x)","F",0
877,0,0,0,0.000000," ","integrate(x^2/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^2/((b*x^6 + a)^2*sqrt(d*x^6 + c)), x)","F",0
878,0,0,0,0.000000," ","integrate(1/x^4/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)*x^4), x)","F",0
879,0,0,0,0.000000," ","integrate(1/x^10/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c} x^{10}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)*x^10), x)","F",0
880,0,0,0,0.000000," ","integrate(x^4/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^4/((b*x^6 + a)^2*sqrt(d*x^6 + c)), x)","F",0
881,0,0,0,0.000000," ","integrate(x^3/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x^3/((b*x^6 + a)^2*sqrt(d*x^6 + c)), x)","F",0
882,0,0,0,0.000000," ","integrate(x/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(x/((b*x^6 + a)^2*sqrt(d*x^6 + c)), x)","F",0
883,0,0,0,0.000000," ","integrate(1/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)), x)","F",0
884,0,0,0,0.000000," ","integrate(1/x^2/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)*x^2), x)","F",0
885,0,0,0,0.000000," ","integrate(1/x^3/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)*x^3), x)","F",0
886,0,0,0,0.000000," ","integrate(1/x^5/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{6} + a\right)}^{2} \sqrt{d x^{6} + c} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^6 + a)^2*sqrt(d*x^6 + c)*x^5), x)","F",0
887,-2,0,0,0.000000," ","integrate(x^23/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
888,-2,0,0,0.000000," ","integrate(x^15/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
889,-2,0,0,0.000000," ","integrate(x^7/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
890,0,0,0,0.000000," ","integrate(1/x/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x), x)","F",0
891,0,0,0,0.000000," ","integrate(1/x^9/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x^{9}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x^9), x)","F",0
892,0,0,0,0.000000," ","integrate(x^19/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{19}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^19/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
893,0,0,0,0.000000," ","integrate(x^11/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{11}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^11/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
894,0,0,0,0.000000," ","integrate(x^3/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^3/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
895,0,0,0,0.000000," ","integrate(1/x^5/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x^5), x)","F",0
896,0,0,0,0.000000," ","integrate(1/x^13/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x^{13}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x^13), x)","F",0
897,0,0,0,0.000000," ","integrate(x^9/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^9/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
898,0,0,0,0.000000," ","integrate(x/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
899,0,0,0,0.000000," ","integrate(1/x^7/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x^7), x)","F",0
900,0,0,0,0.000000," ","integrate(x^13/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^13/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
901,0,0,0,0.000000," ","integrate(x^5/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^5/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
902,0,0,0,0.000000," ","integrate(1/x^3/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x^3), x)","F",0
903,0,0,0,0.000000," ","integrate(x^4/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^4/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
904,0,0,0,0.000000," ","integrate(x^2/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^2/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
905,0,0,0,0.000000," ","integrate(1/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)), x)","F",0
906,0,0,0,0.000000," ","integrate(1/x^2/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x^2), x)","F",0
907,0,0,0,0.000000," ","integrate(1/x^4/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} \sqrt{d x^{8} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*sqrt(d*x^8 + c)*x^4), x)","F",0
908,-2,0,0,0.000000," ","integrate(x^23/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
909,-2,0,0,0.000000," ","integrate(x^15/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
910,-2,0,0,0.000000," ","integrate(x^7/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
911,0,0,0,0.000000," ","integrate(1/x/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x), x)","F",0
912,0,0,0,0.000000," ","integrate(1/x^9/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x^{9}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x^9), x)","F",0
913,0,0,0,0.000000," ","integrate(x^19/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{19}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^19/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
914,0,0,0,0.000000," ","integrate(x^11/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{11}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^11/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
915,0,0,0,0.000000," ","integrate(x^3/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^3/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
916,0,0,0,0.000000," ","integrate(1/x^5/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x^5), x)","F",0
917,0,0,0,0.000000," ","integrate(1/x^13/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x^{13}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x^13), x)","F",0
918,0,0,0,0.000000," ","integrate(x^9/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^9/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
919,0,0,0,0.000000," ","integrate(x/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
920,0,0,0,0.000000," ","integrate(1/x^7/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x^7), x)","F",0
921,0,0,0,0.000000," ","integrate(x^13/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^13/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
922,0,0,0,0.000000," ","integrate(x^5/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^5/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
923,0,0,0,0.000000," ","integrate(1/x^3/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x^3), x)","F",0
924,0,0,0,0.000000," ","integrate(x^4/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^4/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
925,0,0,0,0.000000," ","integrate(x^2/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(x^2/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
926,0,0,0,0.000000," ","integrate(1/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)), x)","F",0
927,0,0,0,0.000000," ","integrate(1/x^2/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x^2), x)","F",0
928,0,0,0,0.000000," ","integrate(1/x^4/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)}^{2} \sqrt{d x^{8} + c} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)^2*sqrt(d*x^8 + c)*x^4), x)","F",0
929,1,243,0,1.361372," ","integrate((a+b/x^2)*x^5*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{96} \, {\left(\frac{3 \, d^{3} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{3} - 8 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c d^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{2} d^{3}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{3} c^{2} - 3 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} c^{3} + 3 \, {\left(c + \frac{d}{x^{2}}\right)} c^{4} - c^{5}}\right)} a + \frac{1}{16} \, {\left(\frac{d^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{3}{2}}} + \frac{2 \, {\left({\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} + \sqrt{c + \frac{d}{x^{2}}} c d^{2}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} c - 2 \, {\left(c + \frac{d}{x^{2}}\right)} c^{2} + c^{3}}\right)} b"," ",0,"-1/96*(3*d^3*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(5/2) + 2*(3*(c + d/x^2)^(5/2)*d^3 - 8*(c + d/x^2)^(3/2)*c*d^3 - 3*sqrt(c + d/x^2)*c^2*d^3)/((c + d/x^2)^3*c^2 - 3*(c + d/x^2)^2*c^3 + 3*(c + d/x^2)*c^4 - c^5))*a + 1/16*(d^2*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(3/2) + 2*((c + d/x^2)^(3/2)*d^2 + sqrt(c + d/x^2)*c*d^2)/((c + d/x^2)^2*c - 2*(c + d/x^2)*c^2 + c^3))*b","B",0
930,1,159,0,1.239673," ","integrate((a+b/x^2)*x^3*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{d^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{3}{2}}} + \frac{2 \, {\left({\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} + \sqrt{c + \frac{d}{x^{2}}} c d^{2}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} c - 2 \, {\left(c + \frac{d}{x^{2}}\right)} c^{2} + c^{3}}\right)} a + \frac{1}{4} \, {\left(2 \, \sqrt{c + \frac{d}{x^{2}}} x^{2} - \frac{d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{\sqrt{c}}\right)} b"," ",0,"1/16*(d^2*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(3/2) + 2*((c + d/x^2)^(3/2)*d^2 + sqrt(c + d/x^2)*c*d^2)/((c + d/x^2)^2*c - 2*(c + d/x^2)*c^2 + c^3))*a + 1/4*(2*sqrt(c + d/x^2)*x^2 - d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/sqrt(c))*b","B",0
931,1,108,0,1.206428," ","integrate((a+b/x^2)*x*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, \sqrt{c + \frac{d}{x^{2}}} x^{2} - \frac{d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{\sqrt{c}}\right)} a - \frac{1}{2} \, {\left(\sqrt{c} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right) + 2 \, \sqrt{c + \frac{d}{x^{2}}}\right)} b"," ",0,"1/4*(2*sqrt(c + d/x^2)*x^2 - d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/sqrt(c))*a - 1/2*(sqrt(c)*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c))) + 2*sqrt(c + d/x^2))*b","A",0
932,1,67,0,1.225574," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\sqrt{c} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right) + 2 \, \sqrt{c + \frac{d}{x^{2}}}\right)} a - \frac{b {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}}}{3 \, d}"," ",0,"-1/2*(sqrt(c)*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c))) + 2*sqrt(c + d/x^2))*a - 1/3*b*(c + d/x^2)^(3/2)/d","A",0
933,1,49,0,0.724052," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{15} \, b {\left(\frac{3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{d^{2}} - \frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c}{d^{2}}\right)} - \frac{a {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}}}{3 \, d}"," ",0,"-1/15*b*(3*(c + d/x^2)^(5/2)/d^2 - 5*(c + d/x^2)^(3/2)*c/d^2) - 1/3*a*(c + d/x^2)^(3/2)/d","A",0
934,1,84,0,0.599171," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{1}{105} \, b {\left(\frac{15 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}}}{d^{3}} - \frac{42 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c}{d^{3}} + \frac{35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2}}{d^{3}}\right)} - \frac{1}{15} \, a {\left(\frac{3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{d^{2}} - \frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c}{d^{2}}\right)}"," ",0,"-1/105*b*(15*(c + d/x^2)^(7/2)/d^3 - 42*(c + d/x^2)^(5/2)*c/d^3 + 35*(c + d/x^2)^(3/2)*c^2/d^3) - 1/15*a*(3*(c + d/x^2)^(5/2)/d^2 - 5*(c + d/x^2)^(3/2)*c/d^2)","A",0
935,1,118,0,0.565486," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{315} \, b {\left(\frac{35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}}}{d^{4}} - \frac{135 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c}{d^{4}} + \frac{189 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{2}}{d^{4}} - \frac{105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{3}}{d^{4}}\right)} - \frac{1}{105} \, a {\left(\frac{15 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}}}{d^{3}} - \frac{42 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c}{d^{3}} + \frac{35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2}}{d^{3}}\right)}"," ",0,"-1/315*b*(35*(c + d/x^2)^(9/2)/d^4 - 135*(c + d/x^2)^(7/2)*c/d^4 + 189*(c + d/x^2)^(5/2)*c^2/d^4 - 105*(c + d/x^2)^(3/2)*c^3/d^4) - 1/105*a*(15*(c + d/x^2)^(7/2)/d^3 - 42*(c + d/x^2)^(5/2)*c/d^3 + 35*(c + d/x^2)^(3/2)*c^2/d^3)","A",0
936,1,152,0,0.466213," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^9,x, algorithm=""maxima"")","-\frac{1}{3465} \, b {\left(\frac{315 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}}}{d^{5}} - \frac{1540 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} c}{d^{5}} + \frac{2970 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c^{2}}{d^{5}} - \frac{2772 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{3}}{d^{5}} + \frac{1155 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{4}}{d^{5}}\right)} - \frac{1}{315} \, a {\left(\frac{35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}}}{d^{4}} - \frac{135 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c}{d^{4}} + \frac{189 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{2}}{d^{4}} - \frac{105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{3}}{d^{4}}\right)}"," ",0,"-1/3465*b*(315*(c + d/x^2)^(11/2)/d^5 - 1540*(c + d/x^2)^(9/2)*c/d^5 + 2970*(c + d/x^2)^(7/2)*c^2/d^5 - 2772*(c + d/x^2)^(5/2)*c^3/d^5 + 1155*(c + d/x^2)^(3/2)*c^4/d^5) - 1/315*a*(35*(c + d/x^2)^(9/2)/d^4 - 135*(c + d/x^2)^(7/2)*c/d^4 + 189*(c + d/x^2)^(5/2)*c^2/d^4 - 105*(c + d/x^2)^(3/2)*c^3/d^4)","A",0
937,1,158,0,0.642522," ","integrate((a+b/x^2)*x^10*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} x^{9} - 135 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d x^{7} + 189 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{2} x^{5} - 105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{3} x^{3}\right)} b}{315 \, c^{4}} + \frac{{\left(315 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}} x^{11} - 1540 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} d x^{9} + 2970 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d^{2} x^{7} - 2772 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{3} x^{5} + 1155 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{4} x^{3}\right)} a}{3465 \, c^{5}}"," ",0,"1/315*(35*(c + d/x^2)^(9/2)*x^9 - 135*(c + d/x^2)^(7/2)*d*x^7 + 189*(c + d/x^2)^(5/2)*d^2*x^5 - 105*(c + d/x^2)^(3/2)*d^3*x^3)*b/c^4 + 1/3465*(315*(c + d/x^2)^(11/2)*x^11 - 1540*(c + d/x^2)^(9/2)*d*x^9 + 2970*(c + d/x^2)^(7/2)*d^2*x^7 - 2772*(c + d/x^2)^(5/2)*d^3*x^5 + 1155*(c + d/x^2)^(3/2)*d^4*x^3)*a/c^5","A",0
938,1,124,0,0.563691," ","integrate((a+b/x^2)*x^8*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(15 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} x^{7} - 42 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d x^{5} + 35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} x^{3}\right)} b}{105 \, c^{3}} + \frac{{\left(35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} x^{9} - 135 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d x^{7} + 189 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{2} x^{5} - 105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{3} x^{3}\right)} a}{315 \, c^{4}}"," ",0,"1/105*(15*(c + d/x^2)^(7/2)*x^7 - 42*(c + d/x^2)^(5/2)*d*x^5 + 35*(c + d/x^2)^(3/2)*d^2*x^3)*b/c^3 + 1/315*(35*(c + d/x^2)^(9/2)*x^9 - 135*(c + d/x^2)^(7/2)*d*x^7 + 189*(c + d/x^2)^(5/2)*d^2*x^5 - 105*(c + d/x^2)^(3/2)*d^3*x^3)*a/c^4","A",0
939,1,90,0,0.528151," ","integrate((a+b/x^2)*x^6*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} x^{5} - 5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d x^{3}\right)} b}{15 \, c^{2}} + \frac{{\left(15 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} x^{7} - 42 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d x^{5} + 35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} x^{3}\right)} a}{105 \, c^{3}}"," ",0,"1/15*(3*(c + d/x^2)^(5/2)*x^5 - 5*(c + d/x^2)^(3/2)*d*x^3)*b/c^2 + 1/105*(15*(c + d/x^2)^(7/2)*x^7 - 42*(c + d/x^2)^(5/2)*d*x^5 + 35*(c + d/x^2)^(3/2)*d^2*x^3)*a/c^3","A",0
940,1,55,0,0.660666," ","integrate((a+b/x^2)*x^4*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{b {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3}}{3 \, c} + \frac{{\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} x^{5} - 5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d x^{3}\right)} a}{15 \, c^{2}}"," ",0,"1/3*b*(c + d/x^2)^(3/2)*x^3/c + 1/15*(3*(c + d/x^2)^(5/2)*x^5 - 5*(c + d/x^2)^(3/2)*d*x^3)*a/c^2","A",0
941,1,75,0,1.375567," ","integrate((a+b/x^2)*x^2*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{a {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3}}{3 \, c} + \frac{1}{2} \, {\left(2 \, \sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)\right)} b"," ",0,"1/3*a*(c + d/x^2)^(3/2)*x^3/c + 1/2*(2*sqrt(c + d/x^2)*x + sqrt(d)*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d))))*b","A",0
942,1,133,0,1.224459," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(2 \, \sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)\right)} a - \frac{1}{4} \, {\left(\frac{2 \, \sqrt{c + \frac{d}{x^{2}}} c x}{{\left(c + \frac{d}{x^{2}}\right)} x^{2} - d} - \frac{c \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{\sqrt{d}}\right)} b"," ",0,"1/2*(2*sqrt(c + d/x^2)*x + sqrt(d)*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d))))*a - 1/4*(2*sqrt(c + d/x^2)*c*x/((c + d/x^2)*x^2 - d) - c*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/sqrt(d))*b","A",0
943,1,193,0,1.354866," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{2 \, \sqrt{c + \frac{d}{x^{2}}} c x}{{\left(c + \frac{d}{x^{2}}\right)} x^{2} - d} - \frac{c \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{\sqrt{d}}\right)} a - \frac{1}{16} \, {\left(\frac{c^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, {\left({\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2} x^{3} + \sqrt{c + \frac{d}{x^{2}}} c^{2} d x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} d x^{4} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} d^{2} x^{2} + d^{3}}\right)} b"," ",0,"-1/4*(2*sqrt(c + d/x^2)*c*x/((c + d/x^2)*x^2 - d) - c*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/sqrt(d))*a - 1/16*(c^2*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2) + 2*((c + d/x^2)^(3/2)*c^2*x^3 + sqrt(c + d/x^2)*c^2*d*x)/((c + d/x^2)^2*d*x^4 - 2*(c + d/x^2)*d^2*x^2 + d^3))*b","B",0
944,1,277,0,1.272909," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(\frac{c^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, {\left({\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2} x^{3} + \sqrt{c + \frac{d}{x^{2}}} c^{2} d x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} d x^{4} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} d^{2} x^{2} + d^{3}}\right)} a + \frac{1}{96} \, {\left(\frac{3 \, c^{3} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{3} x^{5} - 8 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{3} d x^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{3} d^{2} x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{3} d^{2} x^{6} - 3 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} d^{3} x^{4} + 3 \, {\left(c + \frac{d}{x^{2}}\right)} d^{4} x^{2} - d^{5}}\right)} b"," ",0,"-1/16*(c^2*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2) + 2*((c + d/x^2)^(3/2)*c^2*x^3 + sqrt(c + d/x^2)*c^2*d*x)/((c + d/x^2)^2*d*x^4 - 2*(c + d/x^2)*d^2*x^2 + d^3))*a + 1/96*(3*c^3*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(5/2) + 2*(3*(c + d/x^2)^(5/2)*c^3*x^5 - 8*(c + d/x^2)^(3/2)*c^3*d*x^3 - 3*sqrt(c + d/x^2)*c^3*d^2*x)/((c + d/x^2)^3*d^2*x^6 - 3*(c + d/x^2)^2*d^3*x^4 + 3*(c + d/x^2)*d^4*x^2 - d^5))*b","B",0
945,1,240,0,1.298131," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^5,x, algorithm=""maxima"")","\frac{1}{96} \, {\left(\frac{3 \, d^{3} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{3}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{3} + 8 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c d^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{2} d^{3}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{3} c - 3 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} c^{2} + 3 \, {\left(c + \frac{d}{x^{2}}\right)} c^{3} - c^{4}}\right)} a - \frac{1}{16} \, {\left(\frac{3 \, d^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{\sqrt{c}} - \frac{2 \, {\left(5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c d^{2}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} c + c^{2}}\right)} b"," ",0,"1/96*(3*d^3*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(3/2) + 2*(3*(c + d/x^2)^(5/2)*d^3 + 8*(c + d/x^2)^(3/2)*c*d^3 - 3*sqrt(c + d/x^2)*c^2*d^3)/((c + d/x^2)^3*c - 3*(c + d/x^2)^2*c^2 + 3*(c + d/x^2)*c^3 - c^4))*a - 1/16*(3*d^2*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/sqrt(c) - 2*(5*(c + d/x^2)^(3/2)*d^2 - 3*sqrt(c + d/x^2)*c*d^2)/((c + d/x^2)^2 - 2*(c + d/x^2)*c + c^2))*b","B",0
946,1,171,0,1.327377," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^3,x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(\frac{3 \, d^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{\sqrt{c}} - \frac{2 \, {\left(5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c d^{2}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} c + c^{2}}\right)} a + \frac{1}{4} \, {\left(2 \, \sqrt{c + \frac{d}{x^{2}}} c x^{2} - 3 \, \sqrt{c} d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right) - 4 \, \sqrt{c + \frac{d}{x^{2}}} d\right)} b"," ",0,"-1/16*(3*d^2*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/sqrt(c) - 2*(5*(c + d/x^2)^(3/2)*d^2 - 3*sqrt(c + d/x^2)*c*d^2)/((c + d/x^2)^2 - 2*(c + d/x^2)*c + c^2))*a + 1/4*(2*sqrt(c + d/x^2)*c*x^2 - 3*sqrt(c)*d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c))) - 4*sqrt(c + d/x^2)*d)*b","A",0
947,1,134,0,1.233145," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, \sqrt{c + \frac{d}{x^{2}}} c x^{2} - 3 \, \sqrt{c} d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right) - 4 \, \sqrt{c + \frac{d}{x^{2}}} d\right)} a - \frac{1}{6} \, {\left(3 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right) + 2 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} + 6 \, \sqrt{c + \frac{d}{x^{2}}} c\right)} b"," ",0,"1/4*(2*sqrt(c + d/x^2)*c*x^2 - 3*sqrt(c)*d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c))) - 4*sqrt(c + d/x^2)*d)*a - 1/6*(3*c^(3/2)*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c))) + 2*(c + d/x^2)^(3/2) + 6*sqrt(c + d/x^2)*c)*b","A",0
948,1,80,0,1.309968," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x,x, algorithm=""maxima"")","-\frac{b {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{5 \, d} - \frac{1}{6} \, {\left(3 \, c^{\frac{3}{2}} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right) + 2 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} + 6 \, \sqrt{c + \frac{d}{x^{2}}} c\right)} a"," ",0,"-1/5*b*(c + d/x^2)^(5/2)/d - 1/6*(3*c^(3/2)*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c))) + 2*(c + d/x^2)^(3/2) + 6*sqrt(c + d/x^2)*c)*a","A",0
949,1,49,0,0.593281," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{a {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{5 \, d} - \frac{1}{35} \, {\left(\frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}}}{d^{2}} - \frac{7 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c}{d^{2}}\right)} b"," ",0,"-1/5*a*(c + d/x^2)^(5/2)/d - 1/35*(5*(c + d/x^2)^(7/2)/d^2 - 7*(c + d/x^2)^(5/2)*c/d^2)*b","A",0
950,1,84,0,0.641927," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{1}{35} \, {\left(\frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}}}{d^{2}} - \frac{7 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c}{d^{2}}\right)} a - \frac{1}{315} \, {\left(\frac{35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}}}{d^{3}} - \frac{90 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c}{d^{3}} + \frac{63 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{2}}{d^{3}}\right)} b"," ",0,"-1/35*(5*(c + d/x^2)^(7/2)/d^2 - 7*(c + d/x^2)^(5/2)*c/d^2)*a - 1/315*(35*(c + d/x^2)^(9/2)/d^3 - 90*(c + d/x^2)^(7/2)*c/d^3 + 63*(c + d/x^2)^(5/2)*c^2/d^3)*b","A",0
951,1,118,0,0.579599," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{315} \, {\left(\frac{35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}}}{d^{3}} - \frac{90 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c}{d^{3}} + \frac{63 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{2}}{d^{3}}\right)} a - \frac{1}{1155} \, {\left(\frac{105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}}}{d^{4}} - \frac{385 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} c}{d^{4}} + \frac{495 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c^{2}}{d^{4}} - \frac{231 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{3}}{d^{4}}\right)} b"," ",0,"-1/315*(35*(c + d/x^2)^(9/2)/d^3 - 90*(c + d/x^2)^(7/2)*c/d^3 + 63*(c + d/x^2)^(5/2)*c^2/d^3)*a - 1/1155*(105*(c + d/x^2)^(11/2)/d^4 - 385*(c + d/x^2)^(9/2)*c/d^4 + 495*(c + d/x^2)^(7/2)*c^2/d^4 - 231*(c + d/x^2)^(5/2)*c^3/d^4)*b","A",0
952,1,152,0,0.629951," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^9,x, algorithm=""maxima"")","-\frac{1}{1155} \, {\left(\frac{105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}}}{d^{4}} - \frac{385 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} c}{d^{4}} + \frac{495 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c^{2}}{d^{4}} - \frac{231 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{3}}{d^{4}}\right)} a - \frac{1}{15015} \, {\left(\frac{1155 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{13}{2}}}{d^{5}} - \frac{5460 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}} c}{d^{5}} + \frac{10010 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} c^{2}}{d^{5}} - \frac{8580 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c^{3}}{d^{5}} + \frac{3003 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{4}}{d^{5}}\right)} b"," ",0,"-1/1155*(105*(c + d/x^2)^(11/2)/d^4 - 385*(c + d/x^2)^(9/2)*c/d^4 + 495*(c + d/x^2)^(7/2)*c^2/d^4 - 231*(c + d/x^2)^(5/2)*c^3/d^4)*a - 1/15015*(1155*(c + d/x^2)^(13/2)/d^5 - 5460*(c + d/x^2)^(11/2)*c/d^5 + 10010*(c + d/x^2)^(9/2)*c^2/d^5 - 8580*(c + d/x^2)^(7/2)*c^3/d^5 + 3003*(c + d/x^2)^(5/2)*c^4/d^5)*b","A",0
953,1,158,0,0.634840," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^12,x, algorithm=""maxima"")","\frac{{\left(105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}} x^{11} - 385 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} d x^{9} + 495 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d^{2} x^{7} - 231 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{3} x^{5}\right)} b}{1155 \, c^{4}} + \frac{{\left(1155 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{13}{2}} x^{13} - 5460 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}} d x^{11} + 10010 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} d^{2} x^{9} - 8580 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d^{3} x^{7} + 3003 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{4} x^{5}\right)} a}{15015 \, c^{5}}"," ",0,"1/1155*(105*(c + d/x^2)^(11/2)*x^11 - 385*(c + d/x^2)^(9/2)*d*x^9 + 495*(c + d/x^2)^(7/2)*d^2*x^7 - 231*(c + d/x^2)^(5/2)*d^3*x^5)*b/c^4 + 1/15015*(1155*(c + d/x^2)^(13/2)*x^13 - 5460*(c + d/x^2)^(11/2)*d*x^11 + 10010*(c + d/x^2)^(9/2)*d^2*x^9 - 8580*(c + d/x^2)^(7/2)*d^3*x^7 + 3003*(c + d/x^2)^(5/2)*d^4*x^5)*a/c^5","A",0
954,1,124,0,0.490178," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^10,x, algorithm=""maxima"")","\frac{{\left(35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} x^{9} - 90 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d x^{7} + 63 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{2} x^{5}\right)} b}{315 \, c^{3}} + \frac{{\left(105 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{11}{2}} x^{11} - 385 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} d x^{9} + 495 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d^{2} x^{7} - 231 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{3} x^{5}\right)} a}{1155 \, c^{4}}"," ",0,"1/315*(35*(c + d/x^2)^(9/2)*x^9 - 90*(c + d/x^2)^(7/2)*d*x^7 + 63*(c + d/x^2)^(5/2)*d^2*x^5)*b/c^3 + 1/1155*(105*(c + d/x^2)^(11/2)*x^11 - 385*(c + d/x^2)^(9/2)*d*x^9 + 495*(c + d/x^2)^(7/2)*d^2*x^7 - 231*(c + d/x^2)^(5/2)*d^3*x^5)*a/c^4","A",0
955,1,90,0,0.755121," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^8,x, algorithm=""maxima"")","\frac{{\left(5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} x^{7} - 7 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d x^{5}\right)} b}{35 \, c^{2}} + \frac{{\left(35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{9}{2}} x^{9} - 90 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} d x^{7} + 63 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{2} x^{5}\right)} a}{315 \, c^{3}}"," ",0,"1/35*(5*(c + d/x^2)^(7/2)*x^7 - 7*(c + d/x^2)^(5/2)*d*x^5)*b/c^2 + 1/315*(35*(c + d/x^2)^(9/2)*x^9 - 90*(c + d/x^2)^(7/2)*d*x^7 + 63*(c + d/x^2)^(5/2)*d^2*x^5)*a/c^3","A",0
956,1,55,0,0.647380," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^6,x, algorithm=""maxima"")","\frac{b {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} x^{5}}{5 \, c} + \frac{{\left(5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} x^{7} - 7 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d x^{5}\right)} a}{35 \, c^{2}}"," ",0,"1/5*b*(c + d/x^2)^(5/2)*x^5/c + 1/35*(5*(c + d/x^2)^(7/2)*x^7 - 7*(c + d/x^2)^(5/2)*d*x^5)*a/c^2","A",0
957,1,91,0,1.350263," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^4,x, algorithm=""maxima"")","\frac{a {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} x^{5}}{5 \, c} + \frac{1}{6} \, {\left(2 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3} + 6 \, \sqrt{c + \frac{d}{x^{2}}} d x + 3 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)\right)} b"," ",0,"1/5*a*(c + d/x^2)^(5/2)*x^5/c + 1/6*(2*(c + d/x^2)^(3/2)*x^3 + 6*sqrt(c + d/x^2)*d*x + 3*d^(3/2)*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d))))*b","A",0
958,1,163,0,1.358624," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^2,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(2 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3} + 6 \, \sqrt{c + \frac{d}{x^{2}}} d x + 3 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)\right)} a + \frac{1}{4} \, {\left(4 \, \sqrt{c + \frac{d}{x^{2}}} c x - \frac{2 \, \sqrt{c + \frac{d}{x^{2}}} c d x}{{\left(c + \frac{d}{x^{2}}\right)} x^{2} - d} + 3 \, c \sqrt{d} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)\right)} b"," ",0,"1/6*(2*(c + d/x^2)^(3/2)*x^3 + 6*sqrt(c + d/x^2)*d*x + 3*d^(3/2)*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d))))*a + 1/4*(4*sqrt(c + d/x^2)*c*x - 2*sqrt(c + d/x^2)*c*d*x/((c + d/x^2)*x^2 - d) + 3*c*sqrt(d)*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d))))*b","A",0
959,1,207,0,1.424262," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(4 \, \sqrt{c + \frac{d}{x^{2}}} c x - \frac{2 \, \sqrt{c + \frac{d}{x^{2}}} c d x}{{\left(c + \frac{d}{x^{2}}\right)} x^{2} - d} + 3 \, c \sqrt{d} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)\right)} a + \frac{1}{16} \, {\left(\frac{3 \, c^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{\sqrt{d}} - \frac{2 \, {\left(5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2} x^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{2} d x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} x^{4} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} d x^{2} + d^{2}}\right)} b"," ",0,"1/4*(4*sqrt(c + d/x^2)*c*x - 2*sqrt(c + d/x^2)*c*d*x/((c + d/x^2)*x^2 - d) + 3*c*sqrt(d)*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d))))*a + 1/16*(3*c^2*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/sqrt(d) - 2*(5*(c + d/x^2)^(3/2)*c^2*x^3 - 3*sqrt(c + d/x^2)*c^2*d*x)/((c + d/x^2)^2*x^4 - 2*(c + d/x^2)*d*x^2 + d^2))*b","B",0
960,1,275,0,1.382838," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{3 \, c^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{\sqrt{d}} - \frac{2 \, {\left(5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2} x^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{2} d x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} x^{4} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} d x^{2} + d^{2}}\right)} a - \frac{1}{96} \, {\left(\frac{3 \, c^{3} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{3} x^{5} + 8 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{3} d x^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{3} d^{2} x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{3} d x^{6} - 3 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} d^{2} x^{4} + 3 \, {\left(c + \frac{d}{x^{2}}\right)} d^{3} x^{2} - d^{4}}\right)} b"," ",0,"1/16*(3*c^2*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/sqrt(d) - 2*(5*(c + d/x^2)^(3/2)*c^2*x^3 - 3*sqrt(c + d/x^2)*c^2*d*x)/((c + d/x^2)^2*x^4 - 2*(c + d/x^2)*d*x^2 + d^2))*a - 1/96*(3*c^3*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2) + 2*(3*(c + d/x^2)^(5/2)*c^3*x^5 + 8*(c + d/x^2)^(3/2)*c^3*d*x^3 - 3*sqrt(c + d/x^2)*c^3*d^2*x)/((c + d/x^2)^3*d*x^6 - 3*(c + d/x^2)^2*d^2*x^4 + 3*(c + d/x^2)*d^3*x^2 - d^4))*b","B",0
961,1,354,0,1.573321," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^4,x, algorithm=""maxima"")","-\frac{1}{96} \, {\left(\frac{3 \, c^{3} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{3} x^{5} + 8 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{3} d x^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{3} d^{2} x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{3} d x^{6} - 3 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} d^{2} x^{4} + 3 \, {\left(c + \frac{d}{x^{2}}\right)} d^{3} x^{2} - d^{4}}\right)} a + \frac{1}{256} \, {\left(\frac{3 \, c^{4} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}} c^{4} x^{7} - 11 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{4} d x^{5} - 11 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{4} d^{2} x^{3} + 3 \, \sqrt{c + \frac{d}{x^{2}}} c^{4} d^{3} x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{4} d^{2} x^{8} - 4 \, {\left(c + \frac{d}{x^{2}}\right)}^{3} d^{3} x^{6} + 6 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} d^{4} x^{4} - 4 \, {\left(c + \frac{d}{x^{2}}\right)} d^{5} x^{2} + d^{6}}\right)} b"," ",0,"-1/96*(3*c^3*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2) + 2*(3*(c + d/x^2)^(5/2)*c^3*x^5 + 8*(c + d/x^2)^(3/2)*c^3*d*x^3 - 3*sqrt(c + d/x^2)*c^3*d^2*x)/((c + d/x^2)^3*d*x^6 - 3*(c + d/x^2)^2*d^2*x^4 + 3*(c + d/x^2)*d^3*x^2 - d^4))*a + 1/256*(3*c^4*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(5/2) + 2*(3*(c + d/x^2)^(7/2)*c^4*x^7 - 11*(c + d/x^2)^(5/2)*c^4*d*x^5 - 11*(c + d/x^2)^(3/2)*c^4*d^2*x^3 + 3*sqrt(c + d/x^2)*c^4*d^3*x)/((c + d/x^2)^4*d^2*x^8 - 4*(c + d/x^2)^3*d^3*x^6 + 6*(c + d/x^2)^2*d^4*x^4 - 4*(c + d/x^2)*d^5*x^2 + d^6))*b","B",0
962,1,178,0,1.170699," ","integrate((a+b/x^2)*x^3/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, b {\left(\frac{2 \, \sqrt{c + \frac{d}{x^{2}}} d}{{\left(c + \frac{d}{x^{2}}\right)} c - c^{2}} + \frac{d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{3}{2}}}\right)} - \frac{1}{16} \, a {\left(\frac{3 \, d^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} - 5 \, \sqrt{c + \frac{d}{x^{2}}} c d^{2}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} c^{2} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} c^{3} + c^{4}}\right)}"," ",0,"1/4*b*(2*sqrt(c + d/x^2)*d/((c + d/x^2)*c - c^2) + d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(3/2)) - 1/16*a*(3*d^2*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(5/2) + 2*(3*(c + d/x^2)^(3/2)*d^2 - 5*sqrt(c + d/x^2)*c*d^2)/((c + d/x^2)^2*c^2 - 2*(c + d/x^2)*c^3 + c^4))","B",0
963,1,109,0,1.195192," ","integrate((a+b/x^2)*x/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, \sqrt{c + \frac{d}{x^{2}}} d}{{\left(c + \frac{d}{x^{2}}\right)} c - c^{2}} + \frac{d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{3}{2}}}\right)} - \frac{b \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{2 \, \sqrt{c}}"," ",0,"1/4*a*(2*sqrt(c + d/x^2)*d/((c + d/x^2)*c - c^2) + d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(3/2)) - 1/2*b*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/sqrt(c)","B",0
964,1,54,0,1.104541," ","integrate((a+b/x^2)/x/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{a \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{2 \, \sqrt{c}} - \frac{b \sqrt{c + \frac{d}{x^{2}}}}{d}"," ",0,"-1/2*a*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/sqrt(c) - b*sqrt(c + d/x^2)/d","A",0
965,1,48,0,0.533628," ","integrate((a+b/x^2)/x^3/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, b {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}}}{d^{2}} - \frac{3 \, \sqrt{c + \frac{d}{x^{2}}} c}{d^{2}}\right)} - \frac{a \sqrt{c + \frac{d}{x^{2}}}}{d}"," ",0,"-1/3*b*((c + d/x^2)^(3/2)/d^2 - 3*sqrt(c + d/x^2)*c/d^2) - a*sqrt(c + d/x^2)/d","A",0
966,1,83,0,0.489001," ","integrate((a+b/x^2)/x^5/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{15} \, b {\left(\frac{3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{d^{3}} - \frac{10 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c}{d^{3}} + \frac{15 \, \sqrt{c + \frac{d}{x^{2}}} c^{2}}{d^{3}}\right)} - \frac{1}{3} \, a {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}}}{d^{2}} - \frac{3 \, \sqrt{c + \frac{d}{x^{2}}} c}{d^{2}}\right)}"," ",0,"-1/15*b*(3*(c + d/x^2)^(5/2)/d^3 - 10*(c + d/x^2)^(3/2)*c/d^3 + 15*sqrt(c + d/x^2)*c^2/d^3) - 1/3*a*((c + d/x^2)^(3/2)/d^2 - 3*sqrt(c + d/x^2)*c/d^2)","A",0
967,1,118,0,0.576220," ","integrate((a+b/x^2)/x^7/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{35} \, b {\left(\frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}}}{d^{4}} - \frac{21 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c}{d^{4}} + \frac{35 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2}}{d^{4}} - \frac{35 \, \sqrt{c + \frac{d}{x^{2}}} c^{3}}{d^{4}}\right)} - \frac{1}{15} \, a {\left(\frac{3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{d^{3}} - \frac{10 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c}{d^{3}} + \frac{15 \, \sqrt{c + \frac{d}{x^{2}}} c^{2}}{d^{3}}\right)}"," ",0,"-1/35*b*(5*(c + d/x^2)^(7/2)/d^4 - 21*(c + d/x^2)^(5/2)*c/d^4 + 35*(c + d/x^2)^(3/2)*c^2/d^4 - 35*sqrt(c + d/x^2)*c^3/d^4) - 1/15*a*(3*(c + d/x^2)^(5/2)/d^3 - 10*(c + d/x^2)^(3/2)*c/d^3 + 15*sqrt(c + d/x^2)*c^2/d^3)","A",0
968,1,85,0,0.491295," ","integrate((a+b/x^2)*x^4/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} d x\right)} b}{3 \, c^{2}} + \frac{{\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} x^{5} - 10 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d x^{3} + 15 \, \sqrt{c + \frac{d}{x^{2}}} d^{2} x\right)} a}{15 \, c^{3}}"," ",0,"1/3*((c + d/x^2)^(3/2)*x^3 - 3*sqrt(c + d/x^2)*d*x)*b/c^2 + 1/15*(3*(c + d/x^2)^(5/2)*x^5 - 10*(c + d/x^2)^(3/2)*d*x^3 + 15*sqrt(c + d/x^2)*d^2*x)*a/c^3","A",0
969,1,49,0,0.592325," ","integrate((a+b/x^2)*x^2/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{b \sqrt{c + \frac{d}{x^{2}}} x}{c} + \frac{{\left({\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3} - 3 \, \sqrt{c + \frac{d}{x^{2}}} d x\right)} a}{3 \, c^{2}}"," ",0,"b*sqrt(c + d/x^2)*x/c + 1/3*((c + d/x^2)^(3/2)*x^3 - 3*sqrt(c + d/x^2)*d*x)*a/c^2","A",0
970,1,58,0,1.275901," ","integrate((a+b/x^2)/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","\frac{a \sqrt{c + \frac{d}{x^{2}}} x}{c} + \frac{b \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{2 \, \sqrt{d}}"," ",0,"a*sqrt(c + d/x^2)*x/c + 1/2*b*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/sqrt(d)","A",0
971,1,121,0,1.176775," ","integrate((a+b/x^2)/x^2/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{2 \, \sqrt{c + \frac{d}{x^{2}}} c x}{{\left(c + \frac{d}{x^{2}}\right)} d x^{2} - d^{2}} + \frac{c \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}}\right)} b + \frac{a \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{2 \, \sqrt{d}}"," ",0,"-1/4*(2*sqrt(c + d/x^2)*c*x/((c + d/x^2)*d*x^2 - d^2) + c*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2))*b + 1/2*a*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/sqrt(d)","B",0
972,1,200,0,1.233903," ","integrate((a+b/x^2)/x^4/(c+d/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{2 \, \sqrt{c + \frac{d}{x^{2}}} c x}{{\left(c + \frac{d}{x^{2}}\right)} d x^{2} - d^{2}} + \frac{c \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}}\right)} a + \frac{1}{16} \, b {\left(\frac{3 \, c^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2} x^{3} - 5 \, \sqrt{c + \frac{d}{x^{2}}} c^{2} d x\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{2} d^{2} x^{4} - 2 \, {\left(c + \frac{d}{x^{2}}\right)} d^{3} x^{2} + d^{4}}\right)}"," ",0,"-1/4*(2*sqrt(c + d/x^2)*c*x/((c + d/x^2)*d*x^2 - d^2) + c*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2))*a + 1/16*b*(3*c^2*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(5/2) + 2*(3*(c + d/x^2)^(3/2)*c^2*x^3 - 5*sqrt(c + d/x^2)*c^2*d*x)/((c + d/x^2)^2*d^2*x^4 - 2*(c + d/x^2)*d^3*x^2 + d^4))","B",0
973,1,215,0,1.384892," ","integrate((a+b/x^2)*x^3/(c+d/x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{16} \, a {\left(\frac{2 \, {\left(15 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} d^{2} - 25 \, {\left(c + \frac{d}{x^{2}}\right)} c d^{2} + 8 \, c^{2} d^{2}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c^{3} - 2 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{4} + \sqrt{c + \frac{d}{x^{2}}} c^{5}} + \frac{15 \, d^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{7}{2}}}\right)} + \frac{1}{4} \, b {\left(\frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)} d - 2 \, c d\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2} - \sqrt{c + \frac{d}{x^{2}}} c^{3}} + \frac{3 \, d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{5}{2}}}\right)}"," ",0,"-1/16*a*(2*(15*(c + d/x^2)^2*d^2 - 25*(c + d/x^2)*c*d^2 + 8*c^2*d^2)/((c + d/x^2)^(5/2)*c^3 - 2*(c + d/x^2)^(3/2)*c^4 + sqrt(c + d/x^2)*c^5) + 15*d^2*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(7/2)) + 1/4*b*(2*(3*(c + d/x^2)*d - 2*c*d)/((c + d/x^2)^(3/2)*c^2 - sqrt(c + d/x^2)*c^3) + 3*d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(5/2))","B",0
974,1,144,0,1.203656," ","integrate((a+b/x^2)*x/(c+d/x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)} d - 2 \, c d\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2} - \sqrt{c + \frac{d}{x^{2}}} c^{3}} + \frac{3 \, d \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{5}{2}}}\right)} - \frac{1}{2} \, b {\left(\frac{\log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{3}{2}}} + \frac{2}{\sqrt{c + \frac{d}{x^{2}}} c}\right)}"," ",0,"1/4*a*(2*(3*(c + d/x^2)*d - 2*c*d)/((c + d/x^2)^(3/2)*c^2 - sqrt(c + d/x^2)*c^3) + 3*d*log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(5/2)) - 1/2*b*(log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(3/2) + 2/(sqrt(c + d/x^2)*c))","B",0
975,1,69,0,1.259774," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{\log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} - \sqrt{c}}{\sqrt{c + \frac{d}{x^{2}}} + \sqrt{c}}\right)}{c^{\frac{3}{2}}} + \frac{2}{\sqrt{c + \frac{d}{x^{2}}} c}\right)} + \frac{b}{\sqrt{c + \frac{d}{x^{2}}} d}"," ",0,"-1/2*a*(log((sqrt(c + d/x^2) - sqrt(c))/(sqrt(c + d/x^2) + sqrt(c)))/c^(3/2) + 2/(sqrt(c + d/x^2)*c)) + b/(sqrt(c + d/x^2)*d)","A",0
976,1,46,0,0.461090," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^3,x, algorithm=""maxima"")","-b {\left(\frac{\sqrt{c + \frac{d}{x^{2}}}}{d^{2}} + \frac{c}{\sqrt{c + \frac{d}{x^{2}}} d^{2}}\right)} + \frac{a}{\sqrt{c + \frac{d}{x^{2}}} d}"," ",0,"-b*(sqrt(c + d/x^2)/d^2 + c/(sqrt(c + d/x^2)*d^2)) + a/(sqrt(c + d/x^2)*d)","A",0
977,1,81,0,0.610676," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{1}{3} \, b {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}}}{d^{3}} - \frac{6 \, \sqrt{c + \frac{d}{x^{2}}} c}{d^{3}} - \frac{3 \, c^{2}}{\sqrt{c + \frac{d}{x^{2}}} d^{3}}\right)} - a {\left(\frac{\sqrt{c + \frac{d}{x^{2}}}}{d^{2}} + \frac{c}{\sqrt{c + \frac{d}{x^{2}}} d^{2}}\right)}"," ",0,"-1/3*b*((c + d/x^2)^(3/2)/d^3 - 6*sqrt(c + d/x^2)*c/d^3 - 3*c^2/(sqrt(c + d/x^2)*d^3)) - a*(sqrt(c + d/x^2)/d^2 + c/(sqrt(c + d/x^2)*d^2))","A",0
978,1,116,0,0.615259," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{5} \, b {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{d^{4}} - \frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c}{d^{4}} + \frac{15 \, \sqrt{c + \frac{d}{x^{2}}} c^{2}}{d^{4}} + \frac{5 \, c^{3}}{\sqrt{c + \frac{d}{x^{2}}} d^{4}}\right)} - \frac{1}{3} \, a {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}}}{d^{3}} - \frac{6 \, \sqrt{c + \frac{d}{x^{2}}} c}{d^{3}} - \frac{3 \, c^{2}}{\sqrt{c + \frac{d}{x^{2}}} d^{3}}\right)}"," ",0,"-1/5*b*((c + d/x^2)^(5/2)/d^4 - 5*(c + d/x^2)^(3/2)*c/d^4 + 15*sqrt(c + d/x^2)*c^2/d^4 + 5*c^3/(sqrt(c + d/x^2)*d^4)) - 1/3*a*((c + d/x^2)^(3/2)/d^3 - 6*sqrt(c + d/x^2)*c/d^3 - 3*c^2/(sqrt(c + d/x^2)*d^3))","A",0
979,1,151,0,0.549349," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^9,x, algorithm=""maxima"")","-\frac{1}{35} \, b {\left(\frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{7}{2}}}{d^{5}} - \frac{28 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} c}{d^{5}} + \frac{70 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c^{2}}{d^{5}} - \frac{140 \, \sqrt{c + \frac{d}{x^{2}}} c^{3}}{d^{5}} - \frac{35 \, c^{4}}{\sqrt{c + \frac{d}{x^{2}}} d^{5}}\right)} - \frac{1}{5} \, a {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}}}{d^{4}} - \frac{5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} c}{d^{4}} + \frac{15 \, \sqrt{c + \frac{d}{x^{2}}} c^{2}}{d^{4}} + \frac{5 \, c^{3}}{\sqrt{c + \frac{d}{x^{2}}} d^{4}}\right)}"," ",0,"-1/35*b*(5*(c + d/x^2)^(7/2)/d^5 - 28*(c + d/x^2)^(5/2)*c/d^5 + 70*(c + d/x^2)^(3/2)*c^2/d^5 - 140*sqrt(c + d/x^2)*c^3/d^5 - 35*c^4/(sqrt(c + d/x^2)*d^5)) - 1/5*a*((c + d/x^2)^(5/2)/d^4 - 5*(c + d/x^2)^(3/2)*c/d^4 + 15*sqrt(c + d/x^2)*c^2/d^4 + 5*c^3/(sqrt(c + d/x^2)*d^4))","A",0
980,1,128,0,0.557741," ","integrate((a+b/x^2)*x^4/(c+d/x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{3} \, b {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3} - 6 \, \sqrt{c + \frac{d}{x^{2}}} d x}{c^{3}} - \frac{3 \, d^{2}}{\sqrt{c + \frac{d}{x^{2}}} c^{3} x}\right)} + \frac{1}{5} \, a {\left(\frac{5 \, d^{3}}{\sqrt{c + \frac{d}{x^{2}}} c^{4} x} + \frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} x^{5} - 5 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d x^{3} + 15 \, \sqrt{c + \frac{d}{x^{2}}} d^{2} x}{c^{4}}\right)}"," ",0,"1/3*b*(((c + d/x^2)^(3/2)*x^3 - 6*sqrt(c + d/x^2)*d*x)/c^3 - 3*d^2/(sqrt(c + d/x^2)*c^3*x)) + 1/5*a*(5*d^3/(sqrt(c + d/x^2)*c^4*x) + ((c + d/x^2)^(5/2)*x^5 - 5*(c + d/x^2)^(3/2)*d*x^3 + 15*sqrt(c + d/x^2)*d^2*x)/c^4)","A",0
981,1,90,0,0.532501," ","integrate((a+b/x^2)*x^2/(c+d/x^2)^(3/2),x, algorithm=""maxima"")","b {\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x}{c^{2}} + \frac{d}{\sqrt{c + \frac{d}{x^{2}}} c^{2} x}\right)} + \frac{1}{3} \, a {\left(\frac{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{3} - 6 \, \sqrt{c + \frac{d}{x^{2}}} d x}{c^{3}} - \frac{3 \, d^{2}}{\sqrt{c + \frac{d}{x^{2}}} c^{3} x}\right)}"," ",0,"b*(sqrt(c + d/x^2)*x/c^2 + d/(sqrt(c + d/x^2)*c^2*x)) + 1/3*a*(((c + d/x^2)^(3/2)*x^3 - 6*sqrt(c + d/x^2)*d*x)/c^3 - 3*d^2/(sqrt(c + d/x^2)*c^3*x))","A",0
982,1,53,0,0.680877," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2),x, algorithm=""maxima"")","a {\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x}{c^{2}} + \frac{d}{\sqrt{c + \frac{d}{x^{2}}} c^{2} x}\right)} - \frac{b}{\sqrt{c + \frac{d}{x^{2}}} c x}"," ",0,"a*(sqrt(c + d/x^2)*x/c^2 + d/(sqrt(c + d/x^2)*c^2*x)) - b/(sqrt(c + d/x^2)*c*x)","A",0
983,1,80,0,1.214699," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{\log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2}{\sqrt{c + \frac{d}{x^{2}}} d x}\right)} - \frac{a}{\sqrt{c + \frac{d}{x^{2}}} c x}"," ",0,"1/2*b*(log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2) + 2/(sqrt(c + d/x^2)*d*x)) - a/(sqrt(c + d/x^2)*c*x)","A",0
984,1,162,0,1.217580," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^4,x, algorithm=""maxima"")","-\frac{1}{4} \, b {\left(\frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)} c x^{2} - 2 \, c d\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} x^{3} - \sqrt{c + \frac{d}{x^{2}}} d^{3} x} + \frac{3 \, c \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{5}{2}}}\right)} + \frac{1}{2} \, a {\left(\frac{\log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2}{\sqrt{c + \frac{d}{x^{2}}} d x}\right)}"," ",0,"-1/4*b*(2*(3*(c + d/x^2)*c*x^2 - 2*c*d)/((c + d/x^2)^(3/2)*d^2*x^3 - sqrt(c + d/x^2)*d^3*x) + 3*c*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(5/2)) + 1/2*a*(log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(3/2) + 2/(sqrt(c + d/x^2)*d*x))","B",0
985,1,243,0,1.283956," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^6,x, algorithm=""maxima"")","\frac{1}{16} \, b {\left(\frac{2 \, {\left(15 \, {\left(c + \frac{d}{x^{2}}\right)}^{2} c^{2} x^{4} - 25 \, {\left(c + \frac{d}{x^{2}}\right)} c^{2} d x^{2} + 8 \, c^{2} d^{2}\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{5}{2}} d^{3} x^{5} - 2 \, {\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{4} x^{3} + \sqrt{c + \frac{d}{x^{2}}} d^{5} x} + \frac{15 \, c^{2} \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{7}{2}}}\right)} - \frac{1}{4} \, a {\left(\frac{2 \, {\left(3 \, {\left(c + \frac{d}{x^{2}}\right)} c x^{2} - 2 \, c d\right)}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} d^{2} x^{3} - \sqrt{c + \frac{d}{x^{2}}} d^{3} x} + \frac{3 \, c \log\left(\frac{\sqrt{c + \frac{d}{x^{2}}} x - \sqrt{d}}{\sqrt{c + \frac{d}{x^{2}}} x + \sqrt{d}}\right)}{d^{\frac{5}{2}}}\right)}"," ",0,"1/16*b*(2*(15*(c + d/x^2)^2*c^2*x^4 - 25*(c + d/x^2)*c^2*d*x^2 + 8*c^2*d^2)/((c + d/x^2)^(5/2)*d^3*x^5 - 2*(c + d/x^2)^(3/2)*d^4*x^3 + sqrt(c + d/x^2)*d^5*x) + 15*c^2*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(7/2)) - 1/4*a*(2*(3*(c + d/x^2)*c*x^2 - 2*c*d)/((c + d/x^2)^(3/2)*d^2*x^3 - sqrt(c + d/x^2)*d^3*x) + 3*c*log((sqrt(c + d/x^2)*x - sqrt(d))/(sqrt(c + d/x^2)*x + sqrt(d)))/d^(5/2))","B",0
986,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^m,x, algorithm=""maxima"")","\int \left(e x\right)^{m} {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}\,{d x}"," ",0,"integrate((e*x)^m*(a + b/x^2)^p*(c + d/x^2)^q, x)","F",0
987,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*x^4,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q} x^{4}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q*x^4, x)","F",0
988,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*x^3,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q} x^{3}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q*x^3, x)","F",0
989,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*x^2,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q} x^{2}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q*x^2, x)","F",0
990,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*x,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q} x\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q*x, x)","F",0
991,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q, x)","F",0
992,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q/x,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}}{x}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q/x, x)","F",0
993,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}}{x^{2}}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q/x^2, x)","F",0
994,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q/x^3,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}}{x^{3}}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q/x^3, x)","F",0
995,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q/x^4,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}}{x^{4}}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q/x^4, x)","F",0
996,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^(5/2),x, algorithm=""maxima"")","\int \left(e x\right)^{\frac{5}{2}} {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}\,{d x}"," ",0,"integrate((e*x)^(5/2)*(a + b/x^2)^p*(c + d/x^2)^q, x)","F",0
997,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^(3/2),x, algorithm=""maxima"")","\int \left(e x\right)^{\frac{3}{2}} {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}\,{d x}"," ",0,"integrate((e*x)^(3/2)*(a + b/x^2)^p*(c + d/x^2)^q, x)","F",0
998,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x} {\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}\,{d x}"," ",0,"integrate(sqrt(e*x)*(a + b/x^2)^p*(c + d/x^2)^q, x)","F",0
999,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}}{\sqrt{e x}}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q/sqrt(e*x), x)","F",0
1000,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q/(e*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}}{\left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q/(e*x)^(3/2), x)","F",0
1001,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q/(e*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{2}}\right)}^{p} {\left(c + \frac{d}{x^{2}}\right)}^{q}}{\left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a + b/x^2)^p*(c + d/x^2)^q/(e*x)^(5/2), x)","F",0
1002,1,57,0,0.545556," ","integrate(x^(5/2)*(-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(x - 1\right)}^{\frac{3}{2}} x^{\frac{5}{2}} + \frac{5}{24} \, {\left(x - 1\right)}^{\frac{3}{2}} x^{\frac{3}{2}} + \frac{5}{32} \, {\left(x - 1\right)}^{\frac{3}{2}} \sqrt{x} + \frac{5}{64} \, \sqrt{x - 1} \sqrt{x} - \frac{5}{64} \, \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"1/4*(x - 1)^(3/2)*x^(5/2) + 5/24*(x - 1)^(3/2)*x^(3/2) + 5/32*(x - 1)^(3/2)*sqrt(x) + 5/64*sqrt(x - 1)*sqrt(x) - 5/64*log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1003,1,47,0,0.489320," ","integrate(x^(3/2)*(-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x - 1\right)}^{\frac{3}{2}} x^{\frac{3}{2}} + \frac{1}{4} \, {\left(x - 1\right)}^{\frac{3}{2}} \sqrt{x} + \frac{1}{8} \, \sqrt{x - 1} \sqrt{x} - \frac{1}{8} \, \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"1/3*(x - 1)^(3/2)*x^(3/2) + 1/4*(x - 1)^(3/2)*sqrt(x) + 1/8*sqrt(x - 1)*sqrt(x) - 1/8*log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1004,1,37,0,0.581460," ","integrate(x^(1/2)*(-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x - 1\right)}^{\frac{3}{2}} \sqrt{x} + \frac{1}{4} \, \sqrt{x - 1} \sqrt{x} - \frac{1}{4} \, \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"1/2*(x - 1)^(3/2)*sqrt(x) + 1/4*sqrt(x - 1)*sqrt(x) - 1/4*log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1005,1,26,0,0.493570," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(1/2),x, algorithm=""maxima"")","\sqrt{x - 1} \sqrt{x} - \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"sqrt(x - 1)*sqrt(x) - log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1006,1,27,0,1.280450," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{x - 1}}{\sqrt{x}} + 2 \, \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"-2*sqrt(x - 1)/sqrt(x) + 2*log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1007,1,10,0,1.319738," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(x - 1\right)}^{\frac{3}{2}}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*(x - 1)^(3/2)/x^(3/2)","A",0
1008,1,21,0,1.311537," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(7/2),x, algorithm=""maxima"")","\frac{4 \, {\left(x - 1\right)}^{\frac{3}{2}}}{15 \, x^{\frac{3}{2}}} + \frac{2 \, {\left(x - 1\right)}^{\frac{3}{2}}}{5 \, x^{\frac{5}{2}}}"," ",0,"4/15*(x - 1)^(3/2)/x^(3/2) + 2/5*(x - 1)^(3/2)/x^(5/2)","A",0
1009,1,31,0,1.550112," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(9/2),x, algorithm=""maxima"")","\frac{16 \, {\left(x - 1\right)}^{\frac{3}{2}}}{105 \, x^{\frac{3}{2}}} + \frac{8 \, {\left(x - 1\right)}^{\frac{3}{2}}}{35 \, x^{\frac{5}{2}}} + \frac{2 \, {\left(x - 1\right)}^{\frac{3}{2}}}{7 \, x^{\frac{7}{2}}}"," ",0,"16/105*(x - 1)^(3/2)/x^(3/2) + 8/35*(x - 1)^(3/2)/x^(5/2) + 2/7*(x - 1)^(3/2)/x^(7/2)","A",0
1010,1,41,0,1.216954," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(11/2),x, algorithm=""maxima"")","\frac{32 \, {\left(x - 1\right)}^{\frac{3}{2}}}{315 \, x^{\frac{3}{2}}} + \frac{16 \, {\left(x - 1\right)}^{\frac{3}{2}}}{105 \, x^{\frac{5}{2}}} + \frac{4 \, {\left(x - 1\right)}^{\frac{3}{2}}}{21 \, x^{\frac{7}{2}}} + \frac{2 \, {\left(x - 1\right)}^{\frac{3}{2}}}{9 \, x^{\frac{9}{2}}}"," ",0,"32/315*(x - 1)^(3/2)/x^(3/2) + 16/105*(x - 1)^(3/2)/x^(5/2) + 4/21*(x - 1)^(3/2)/x^(7/2) + 2/9*(x - 1)^(3/2)/x^(9/2)","A",0
1011,1,47,0,0.612294," ","integrate(x^(5/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{x - 1} x^{\frac{5}{2}} + \frac{5}{12} \, \sqrt{x - 1} x^{\frac{3}{2}} + \frac{5}{8} \, \sqrt{x - 1} \sqrt{x} + \frac{5}{8} \, \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"1/3*sqrt(x - 1)*x^(5/2) + 5/12*sqrt(x - 1)*x^(3/2) + 5/8*sqrt(x - 1)*sqrt(x) + 5/8*log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1012,1,37,0,0.460446," ","integrate(x^(3/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x - 1} x^{\frac{3}{2}} + \frac{3}{4} \, \sqrt{x - 1} \sqrt{x} + \frac{3}{4} \, \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"1/2*sqrt(x - 1)*x^(3/2) + 3/4*sqrt(x - 1)*sqrt(x) + 3/4*log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1013,1,24,0,0.453481," ","integrate(x^(1/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\sqrt{x - 1} \sqrt{x} + \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"sqrt(x - 1)*sqrt(x) + log(2*sqrt(x - 1) + 2*sqrt(x))","A",0
1014,1,16,0,0.646559," ","integrate(1/x^(1/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","2 \, \log\left(2 \, \sqrt{x - 1} + 2 \, \sqrt{x}\right)"," ",0,"2*log(2*sqrt(x - 1) + 2*sqrt(x))","B",0
1015,1,10,0,1.207906," ","integrate(1/x^(3/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{x - 1}}{\sqrt{x}}"," ",0,"2*sqrt(x - 1)/sqrt(x)","A",0
1016,1,21,0,1.199716," ","integrate(1/x^(5/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{x - 1}}{3 \, \sqrt{x}} + \frac{2 \, \sqrt{x - 1}}{3 \, x^{\frac{3}{2}}}"," ",0,"4/3*sqrt(x - 1)/sqrt(x) + 2/3*sqrt(x - 1)/x^(3/2)","A",0
1017,1,31,0,1.297148," ","integrate(1/x^(7/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{16 \, \sqrt{x - 1}}{15 \, \sqrt{x}} + \frac{8 \, \sqrt{x - 1}}{15 \, x^{\frac{3}{2}}} + \frac{2 \, \sqrt{x - 1}}{5 \, x^{\frac{5}{2}}}"," ",0,"16/15*sqrt(x - 1)/sqrt(x) + 8/15*sqrt(x - 1)/x^(3/2) + 2/5*sqrt(x - 1)/x^(5/2)","A",0
1018,0,0,0,0.000000," ","integrate(x^2*(-a+b*x^n)^p*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} {\left(b x^{n} - a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(b*x^n - a)^p*x^2, x)","F",0
1019,0,0,0,0.000000," ","integrate(x*(-a+b*x^n)^p*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} {\left(b x^{n} - a\right)}^{p} x\,{d x}"," ",0,"integrate((b*x^n + a)^p*(b*x^n - a)^p*x, x)","F",0
1020,0,0,0,0.000000," ","integrate((-a+b*x^n)^p*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} {\left(b x^{n} - a\right)}^{p}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(b*x^n - a)^p, x)","F",0
1021,0,0,0,0.000000," ","integrate((-a+b*x^n)^p*(a+b*x^n)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{p} {\left(b x^{n} - a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(b*x^n - a)^p/x, x)","F",0
1022,0,0,0,0.000000," ","integrate((-a+b*x^n)^p*(a+b*x^n)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{p} {\left(b x^{n} - a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(b*x^n - a)^p/x^2, x)","F",0
1023,1,15,0,0.455223," ","integrate((x^6+1)/x/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(x^{6} - 1\right) + \frac{1}{6} \, \log\left(x^{6}\right)"," ",0,"-1/3*log(x^6 - 1) + 1/6*log(x^6)","A",0
1024,1,36,0,0.954183," ","integrate((e*x)^m*(a+b*x^n)^p*(a*(1+m)+b*(n*p+m+n+1)*x^n),x, algorithm=""maxima"")","{\left(a e^{m} x x^{m} + b e^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}\right)} {\left(b x^{n} + a\right)}^{p}"," ",0,"(a*e^m*x*x^m + b*e^m*x*e^(m*log(x) + n*log(x)))*(b*x^n + a)^p","A",0
1025,0,0,0,0.000000," ","integrate((e*x)^m/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^n + a)*(d*x^n + c)), x)","F",0
1026,0,0,0,0.000000," ","integrate(x^2/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^2/((b*x^n + a)*(d*x^n + c)), x)","F",0
1027,0,0,0,0.000000," ","integrate(x/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x/((b*x^n + a)*(d*x^n + c)), x)","F",0
1028,0,0,0,0.000000," ","integrate(1/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)*(d*x^n + c)), x)","F",0
1029,1,69,0,0.565049," ","integrate(1/x/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","-\frac{b \log\left(\frac{b x^{n} + a}{b}\right)}{a b c n - a^{2} d n} + \frac{d \log\left(\frac{d x^{n} + c}{d}\right)}{b c^{2} n - a c d n} + \frac{\log\left(x\right)}{a c}"," ",0,"-b*log((b*x^n + a)/b)/(a*b*c*n - a^2*d*n) + d*log((d*x^n + c)/d)/(b*c^2*n - a*c*d*n) + log(x)/(a*c)","A",0
1030,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)*(d*x^n + c)*x^2), x)","F",0
1031,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)*(d*x^n + c)*x^3), x)","F",0
1032,0,0,0,0.000000," ","integrate((e*x)^m/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","d^{2} e^{m} \int \frac{x^{m}}{b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x^{n}}\,{d x} + \frac{b e^{m} x x^{m}}{a^{2} b c n - a^{3} d n + {\left(a b^{2} c n - a^{2} b d n\right)} x^{n}} - {\left(b^{2} c e^{m} {\left(m - n + 1\right)} - a b d e^{m} {\left(m - 2 \, n + 1\right)}\right)} \int \frac{x^{m}}{a^{2} b^{2} c^{2} n - 2 \, a^{3} b c d n + a^{4} d^{2} n + {\left(a b^{3} c^{2} n - 2 \, a^{2} b^{2} c d n + a^{3} b d^{2} n\right)} x^{n}}\,{d x}"," ",0,"d^2*e^m*integrate(x^m/(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x^n), x) + b*e^m*x*x^m/(a^2*b*c*n - a^3*d*n + (a*b^2*c*n - a^2*b*d*n)*x^n) - (b^2*c*e^m*(m - n + 1) - a*b*d*e^m*(m - 2*n + 1))*integrate(x^m/(a^2*b^2*c^2*n - 2*a^3*b*c*d*n + a^4*d^2*n + (a*b^3*c^2*n - 2*a^2*b^2*c*d*n + a^3*b*d^2*n)*x^n), x)","F",0
1033,0,0,0,0.000000," ","integrate(x^2/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","\frac{b x^{3}}{a^{2} b c n - a^{3} d n + {\left(a b^{2} c n - a^{2} b d n\right)} x^{n}} + d^{2} \int \frac{x^{2}}{b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x^{n}}\,{d x} - {\left(a b d {\left(2 \, n - 3\right)} - b^{2} c {\left(n - 3\right)}\right)} \int \frac{x^{2}}{a^{2} b^{2} c^{2} n - 2 \, a^{3} b c d n + a^{4} d^{2} n + {\left(a b^{3} c^{2} n - 2 \, a^{2} b^{2} c d n + a^{3} b d^{2} n\right)} x^{n}}\,{d x}"," ",0,"b*x^3/(a^2*b*c*n - a^3*d*n + (a*b^2*c*n - a^2*b*d*n)*x^n) + d^2*integrate(x^2/(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x^n), x) - (a*b*d*(2*n - 3) - b^2*c*(n - 3))*integrate(x^2/(a^2*b^2*c^2*n - 2*a^3*b*c*d*n + a^4*d^2*n + (a*b^3*c^2*n - 2*a^2*b^2*c*d*n + a^3*b*d^2*n)*x^n), x)","F",0
1034,0,0,0,0.000000," ","integrate(x/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","d^{2} \int \frac{x}{b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x^{n}}\,{d x} + \frac{b x^{2}}{a^{2} b c n - a^{3} d n + {\left(a b^{2} c n - a^{2} b d n\right)} x^{n}} - {\left(2 \, a b d {\left(n - 1\right)} - b^{2} c {\left(n - 2\right)}\right)} \int \frac{x}{a^{2} b^{2} c^{2} n - 2 \, a^{3} b c d n + a^{4} d^{2} n + {\left(a b^{3} c^{2} n - 2 \, a^{2} b^{2} c d n + a^{3} b d^{2} n\right)} x^{n}}\,{d x}"," ",0,"d^2*integrate(x/(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x^n), x) + b*x^2/(a^2*b*c*n - a^3*d*n + (a*b^2*c*n - a^2*b*d*n)*x^n) - (2*a*b*d*(n - 1) - b^2*c*(n - 2))*integrate(x/(a^2*b^2*c^2*n - 2*a^3*b*c*d*n + a^4*d^2*n + (a*b^3*c^2*n - 2*a^2*b^2*c*d*n + a^3*b*d^2*n)*x^n), x)","F",0
1035,0,0,0,0.000000," ","integrate(1/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","d^{2} \int \frac{1}{b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x^{n}}\,{d x} - {\left(a b d {\left(2 \, n - 1\right)} - b^{2} c {\left(n - 1\right)}\right)} \int \frac{1}{a^{2} b^{2} c^{2} n - 2 \, a^{3} b c d n + a^{4} d^{2} n + {\left(a b^{3} c^{2} n - 2 \, a^{2} b^{2} c d n + a^{3} b d^{2} n\right)} x^{n}}\,{d x} + \frac{b x}{a^{2} b c n - a^{3} d n + {\left(a b^{2} c n - a^{2} b d n\right)} x^{n}}"," ",0,"d^2*integrate(1/(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x^n), x) - (a*b*d*(2*n - 1) - b^2*c*(n - 1))*integrate(1/(a^2*b^2*c^2*n - 2*a^3*b*c*d*n + a^4*d^2*n + (a*b^3*c^2*n - 2*a^2*b^2*c*d*n + a^3*b*d^2*n)*x^n), x) + b*x/(a^2*b*c*n - a^3*d*n + (a*b^2*c*n - a^2*b*d*n)*x^n)","F",0
1036,1,151,0,0.665150," ","integrate(1/x/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","-\frac{d^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{b^{2} c^{3} n - 2 \, a b c^{2} d n + a^{2} c d^{2} n} - \frac{{\left(b^{2} c - 2 \, a b d\right)} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{2} b^{2} c^{2} n - 2 \, a^{3} b c d n + a^{4} d^{2} n} + \frac{b}{a^{2} b c n - a^{3} d n + {\left(a b^{2} c n - a^{2} b d n\right)} x^{n}} + \frac{\log\left(x\right)}{a^{2} c}"," ",0,"-d^2*log((d*x^n + c)/d)/(b^2*c^3*n - 2*a*b*c^2*d*n + a^2*c*d^2*n) - (b^2*c - 2*a*b*d)*log((b*x^n + a)/b)/(a^2*b^2*c^2*n - 2*a^3*b*c*d*n + a^4*d^2*n) + b/(a^2*b*c*n - a^3*d*n + (a*b^2*c*n - a^2*b*d*n)*x^n) + log(x)/(a^2*c)","A",0
1037,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","d^{2} \int \frac{1}{{\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x^{2} x^{n} + {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2}\right)} x^{2}}\,{d x} - {\left(a b d {\left(2 \, n + 1\right)} - b^{2} c {\left(n + 1\right)}\right)} \int \frac{1}{{\left(a b^{3} c^{2} n - 2 \, a^{2} b^{2} c d n + a^{3} b d^{2} n\right)} x^{2} x^{n} + {\left(a^{2} b^{2} c^{2} n - 2 \, a^{3} b c d n + a^{4} d^{2} n\right)} x^{2}}\,{d x} + \frac{b}{{\left(a b^{2} c n - a^{2} b d n\right)} x x^{n} + {\left(a^{2} b c n - a^{3} d n\right)} x}"," ",0,"d^2*integrate(1/((b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x^2*x^n + (b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2)*x^2), x) - (a*b*d*(2*n + 1) - b^2*c*(n + 1))*integrate(1/((a*b^3*c^2*n - 2*a^2*b^2*c*d*n + a^3*b*d^2*n)*x^2*x^n + (a^2*b^2*c^2*n - 2*a^3*b*c*d*n + a^4*d^2*n)*x^2), x) + b/((a*b^2*c*n - a^2*b*d*n)*x*x^n + (a^2*b*c*n - a^3*d*n)*x)","F",0
1038,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","d^{2} \int \frac{1}{{\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x^{3} x^{n} + {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2}\right)} x^{3}}\,{d x} + {\left(b^{2} c {\left(n + 2\right)} - 2 \, a b d {\left(n + 1\right)}\right)} \int \frac{1}{{\left(a b^{3} c^{2} n - 2 \, a^{2} b^{2} c d n + a^{3} b d^{2} n\right)} x^{3} x^{n} + {\left(a^{2} b^{2} c^{2} n - 2 \, a^{3} b c d n + a^{4} d^{2} n\right)} x^{3}}\,{d x} + \frac{b}{{\left(a b^{2} c n - a^{2} b d n\right)} x^{2} x^{n} + {\left(a^{2} b c n - a^{3} d n\right)} x^{2}}"," ",0,"d^2*integrate(1/((b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x^3*x^n + (b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2)*x^3), x) + (b^2*c*(n + 2) - 2*a*b*d*(n + 1))*integrate(1/((a*b^3*c^2*n - 2*a^2*b^2*c*d*n + a^3*b*d^2*n)*x^3*x^n + (a^2*b^2*c^2*n - 2*a^3*b*c*d*n + a^4*d^2*n)*x^3), x) + b/((a*b^2*c*n - a^2*b*d*n)*x^2*x^n + (a^2*b*c*n - a^3*d*n)*x^2)","F",0
1039,1,231,0,0.531298," ","integrate(x^(-1+2*n)*(a+b*x^n)^3/(c+d*x^n),x, algorithm=""maxima"")","a^{3} {\left(\frac{x^{n}}{d n} - \frac{c \log\left(\frac{d x^{n} + c}{d}\right)}{d^{2} n}\right)} + \frac{1}{12} \, b^{3} {\left(\frac{12 \, c^{4} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{5} n} + \frac{3 \, d^{3} x^{4 \, n} - 4 \, c d^{2} x^{3 \, n} + 6 \, c^{2} d x^{2 \, n} - 12 \, c^{3} x^{n}}{d^{4} n}\right)} - \frac{1}{2} \, a b^{2} {\left(\frac{6 \, c^{3} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{4} n} - \frac{2 \, d^{2} x^{3 \, n} - 3 \, c d x^{2 \, n} + 6 \, c^{2} x^{n}}{d^{3} n}\right)} + \frac{3}{2} \, a^{2} b {\left(\frac{2 \, c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{3} n} + \frac{d x^{2 \, n} - 2 \, c x^{n}}{d^{2} n}\right)}"," ",0,"a^3*(x^n/(d*n) - c*log((d*x^n + c)/d)/(d^2*n)) + 1/12*b^3*(12*c^4*log((d*x^n + c)/d)/(d^5*n) + (3*d^3*x^(4*n) - 4*c*d^2*x^(3*n) + 6*c^2*d*x^(2*n) - 12*c^3*x^n)/(d^4*n)) - 1/2*a*b^2*(6*c^3*log((d*x^n + c)/d)/(d^4*n) - (2*d^2*x^(3*n) - 3*c*d*x^(2*n) + 6*c^2*x^n)/(d^3*n)) + 3/2*a^2*b*(2*c^2*log((d*x^n + c)/d)/(d^3*n) + (d*x^(2*n) - 2*c*x^n)/(d^2*n))","A",0
1040,1,150,0,0.698451," ","integrate(x^(-1+2*n)*(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","a^{2} {\left(\frac{x^{n}}{d n} - \frac{c \log\left(\frac{d x^{n} + c}{d}\right)}{d^{2} n}\right)} - \frac{1}{6} \, b^{2} {\left(\frac{6 \, c^{3} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{4} n} - \frac{2 \, d^{2} x^{3 \, n} - 3 \, c d x^{2 \, n} + 6 \, c^{2} x^{n}}{d^{3} n}\right)} + a b {\left(\frac{2 \, c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{3} n} + \frac{d x^{2 \, n} - 2 \, c x^{n}}{d^{2} n}\right)}"," ",0,"a^2*(x^n/(d*n) - c*log((d*x^n + c)/d)/(d^2*n)) - 1/6*b^2*(6*c^3*log((d*x^n + c)/d)/(d^4*n) - (2*d^2*x^(3*n) - 3*c*d*x^(2*n) + 6*c^2*x^n)/(d^3*n)) + a*b*(2*c^2*log((d*x^n + c)/d)/(d^3*n) + (d*x^(2*n) - 2*c*x^n)/(d^2*n))","A",0
1041,1,83,0,0.699484," ","integrate(x^(-1+2*n)*(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","a {\left(\frac{x^{n}}{d n} - \frac{c \log\left(\frac{d x^{n} + c}{d}\right)}{d^{2} n}\right)} + \frac{1}{2} \, b {\left(\frac{2 \, c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{3} n} + \frac{d x^{2 \, n} - 2 \, c x^{n}}{d^{2} n}\right)}"," ",0,"a*(x^n/(d*n) - c*log((d*x^n + c)/d)/(d^2*n)) + 1/2*b*(2*c^2*log((d*x^n + c)/d)/(d^3*n) + (d*x^(2*n) - 2*c*x^n)/(d^2*n))","A",0
1042,1,60,0,0.585881," ","integrate(x^(-1+2*n)/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","-\frac{a \log\left(\frac{b x^{n} + a}{b}\right)}{b^{2} c n - a b d n} + \frac{c \log\left(\frac{d x^{n} + c}{d}\right)}{b c d n - a d^{2} n}"," ",0,"-a*log((b*x^n + a)/b)/(b^2*c*n - a*b*d*n) + c*log((d*x^n + c)/d)/(b*c*d*n - a*d^2*n)","A",0
1043,1,121,0,0.515313," ","integrate(x^(-1+2*n)/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","\frac{c \log\left(\frac{b x^{n} + a}{b}\right)}{b^{2} c^{2} n - 2 \, a b c d n + a^{2} d^{2} n} - \frac{c \log\left(\frac{d x^{n} + c}{d}\right)}{b^{2} c^{2} n - 2 \, a b c d n + a^{2} d^{2} n} + \frac{a}{a b^{2} c n - a^{2} b d n + {\left(b^{3} c n - a b^{2} d n\right)} x^{n}}"," ",0,"c*log((b*x^n + a)/b)/(b^2*c^2*n - 2*a*b*c*d*n + a^2*d^2*n) - c*log((d*x^n + c)/d)/(b^2*c^2*n - 2*a*b*c*d*n + a^2*d^2*n) + a/(a*b^2*c*n - a^2*b*d*n + (b^3*c*n - a*b^2*d*n)*x^n)","A",0
1044,1,243,0,0.662706," ","integrate(x^(-1+2*n)/(a+b*x^n)^3/(c+d*x^n),x, algorithm=""maxima"")","-\frac{c d \log\left(\frac{b x^{n} + a}{b}\right)}{b^{3} c^{3} n - 3 \, a b^{2} c^{2} d n + 3 \, a^{2} b c d^{2} n - a^{3} d^{3} n} + \frac{c d \log\left(\frac{d x^{n} + c}{d}\right)}{b^{3} c^{3} n - 3 \, a b^{2} c^{2} d n + 3 \, a^{2} b c d^{2} n - a^{3} d^{3} n} - \frac{2 \, b^{2} c x^{n} + a b c + a^{2} d}{2 \, {\left(a^{2} b^{3} c^{2} n - 2 \, a^{3} b^{2} c d n + a^{4} b d^{2} n + {\left(b^{5} c^{2} n - 2 \, a b^{4} c d n + a^{2} b^{3} d^{2} n\right)} x^{2 \, n} + 2 \, {\left(a b^{4} c^{2} n - 2 \, a^{2} b^{3} c d n + a^{3} b^{2} d^{2} n\right)} x^{n}\right)}}"," ",0,"-c*d*log((b*x^n + a)/b)/(b^3*c^3*n - 3*a*b^2*c^2*d*n + 3*a^2*b*c*d^2*n - a^3*d^3*n) + c*d*log((d*x^n + c)/d)/(b^3*c^3*n - 3*a*b^2*c^2*d*n + 3*a^2*b*c*d^2*n - a^3*d^3*n) - 1/2*(2*b^2*c*x^n + a*b*c + a^2*d)/(a^2*b^3*c^2*n - 2*a^3*b^2*c*d*n + a^4*b*d^2*n + (b^5*c^2*n - 2*a*b^4*c*d*n + a^2*b^3*d^2*n)*x^(2*n) + 2*(a*b^4*c^2*n - 2*a^2*b^3*c*d*n + a^3*b^2*d^2*n)*x^n)","B",0
1045,1,286,0,0.662834," ","integrate(x^(-1+3*n)*(a+b*x^n)^3/(c+d*x^n),x, algorithm=""maxima"")","-\frac{1}{60} \, b^{3} {\left(\frac{60 \, c^{5} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{6} n} - \frac{12 \, d^{4} x^{5 \, n} - 15 \, c d^{3} x^{4 \, n} + 20 \, c^{2} d^{2} x^{3 \, n} - 30 \, c^{3} d x^{2 \, n} + 60 \, c^{4} x^{n}}{d^{5} n}\right)} + \frac{1}{4} \, a b^{2} {\left(\frac{12 \, c^{4} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{5} n} + \frac{3 \, d^{3} x^{4 \, n} - 4 \, c d^{2} x^{3 \, n} + 6 \, c^{2} d x^{2 \, n} - 12 \, c^{3} x^{n}}{d^{4} n}\right)} - \frac{1}{2} \, a^{2} b {\left(\frac{6 \, c^{3} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{4} n} - \frac{2 \, d^{2} x^{3 \, n} - 3 \, c d x^{2 \, n} + 6 \, c^{2} x^{n}}{d^{3} n}\right)} + \frac{1}{2} \, a^{3} {\left(\frac{2 \, c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{3} n} + \frac{d x^{2 \, n} - 2 \, c x^{n}}{d^{2} n}\right)}"," ",0,"-1/60*b^3*(60*c^5*log((d*x^n + c)/d)/(d^6*n) - (12*d^4*x^(5*n) - 15*c*d^3*x^(4*n) + 20*c^2*d^2*x^(3*n) - 30*c^3*d*x^(2*n) + 60*c^4*x^n)/(d^5*n)) + 1/4*a*b^2*(12*c^4*log((d*x^n + c)/d)/(d^5*n) + (3*d^3*x^(4*n) - 4*c*d^2*x^(3*n) + 6*c^2*d*x^(2*n) - 12*c^3*x^n)/(d^4*n)) - 1/2*a^2*b*(6*c^3*log((d*x^n + c)/d)/(d^4*n) - (2*d^2*x^(3*n) - 3*c*d*x^(2*n) + 6*c^2*x^n)/(d^3*n)) + 1/2*a^3*(2*c^2*log((d*x^n + c)/d)/(d^3*n) + (d*x^(2*n) - 2*c*x^n)/(d^2*n))","A",0
1046,1,192,0,0.540594," ","integrate(x^(-1+3*n)*(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","\frac{1}{12} \, b^{2} {\left(\frac{12 \, c^{4} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{5} n} + \frac{3 \, d^{3} x^{4 \, n} - 4 \, c d^{2} x^{3 \, n} + 6 \, c^{2} d x^{2 \, n} - 12 \, c^{3} x^{n}}{d^{4} n}\right)} - \frac{1}{3} \, a b {\left(\frac{6 \, c^{3} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{4} n} - \frac{2 \, d^{2} x^{3 \, n} - 3 \, c d x^{2 \, n} + 6 \, c^{2} x^{n}}{d^{3} n}\right)} + \frac{1}{2} \, a^{2} {\left(\frac{2 \, c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{3} n} + \frac{d x^{2 \, n} - 2 \, c x^{n}}{d^{2} n}\right)}"," ",0,"1/12*b^2*(12*c^4*log((d*x^n + c)/d)/(d^5*n) + (3*d^3*x^(4*n) - 4*c*d^2*x^(3*n) + 6*c^2*d*x^(2*n) - 12*c^3*x^n)/(d^4*n)) - 1/3*a*b*(6*c^3*log((d*x^n + c)/d)/(d^4*n) - (2*d^2*x^(3*n) - 3*c*d*x^(2*n) + 6*c^2*x^n)/(d^3*n)) + 1/2*a^2*(2*c^2*log((d*x^n + c)/d)/(d^3*n) + (d*x^(2*n) - 2*c*x^n)/(d^2*n))","A",0
1047,1,112,0,0.533725," ","integrate(x^(-1+3*n)*(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","-\frac{1}{6} \, b {\left(\frac{6 \, c^{3} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{4} n} - \frac{2 \, d^{2} x^{3 \, n} - 3 \, c d x^{2 \, n} + 6 \, c^{2} x^{n}}{d^{3} n}\right)} + \frac{1}{2} \, a {\left(\frac{2 \, c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{d^{3} n} + \frac{d x^{2 \, n} - 2 \, c x^{n}}{d^{2} n}\right)}"," ",0,"-1/6*b*(6*c^3*log((d*x^n + c)/d)/(d^4*n) - (2*d^2*x^(3*n) - 3*c*d*x^(2*n) + 6*c^2*x^n)/(d^3*n)) + 1/2*a*(2*c^2*log((d*x^n + c)/d)/(d^3*n) + (d*x^(2*n) - 2*c*x^n)/(d^2*n))","A",0
1048,1,81,0,0.625872," ","integrate(x^(-1+3*n)/(a+b*x^n)/(c+d*x^n),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{3} c n - a b^{2} d n} - \frac{c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{b c d^{2} n - a d^{3} n} + \frac{x^{n}}{b d n}"," ",0,"a^2*log((b*x^n + a)/b)/(b^3*c*n - a*b^2*d*n) - c^2*log((d*x^n + c)/d)/(b*c*d^2*n - a*d^3*n) + x^n/(b*d*n)","A",0
1049,1,147,0,0.581964," ","integrate(x^(-1+3*n)/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""maxima"")","\frac{c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{b^{2} c^{2} d n - 2 \, a b c d^{2} n + a^{2} d^{3} n} - \frac{a^{2}}{a b^{3} c n - a^{2} b^{2} d n + {\left(b^{4} c n - a b^{3} d n\right)} x^{n}} - \frac{{\left(2 \, a b c - a^{2} d\right)} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{4} c^{2} n - 2 \, a b^{3} c d n + a^{2} b^{2} d^{2} n}"," ",0,"c^2*log((d*x^n + c)/d)/(b^2*c^2*d*n - 2*a*b*c*d^2*n + a^2*d^3*n) - a^2/(a*b^3*c*n - a^2*b^2*d*n + (b^4*c*n - a*b^3*d*n)*x^n) - (2*a*b*c - a^2*d)*log((b*x^n + a)/b)/(b^4*c^2*n - 2*a*b^3*c*d*n + a^2*b^2*d^2*n)","A",0
1050,1,262,0,0.676941," ","integrate(x^(-1+3*n)/(a+b*x^n)^3/(c+d*x^n),x, algorithm=""maxima"")","\frac{c^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{3} c^{3} n - 3 \, a b^{2} c^{2} d n + 3 \, a^{2} b c d^{2} n - a^{3} d^{3} n} - \frac{c^{2} \log\left(\frac{d x^{n} + c}{d}\right)}{b^{3} c^{3} n - 3 \, a b^{2} c^{2} d n + 3 \, a^{2} b c d^{2} n - a^{3} d^{3} n} + \frac{3 \, a^{2} b c - a^{3} d + 2 \, {\left(2 \, a b^{2} c - a^{2} b d\right)} x^{n}}{2 \, {\left(a^{2} b^{4} c^{2} n - 2 \, a^{3} b^{3} c d n + a^{4} b^{2} d^{2} n + {\left(b^{6} c^{2} n - 2 \, a b^{5} c d n + a^{2} b^{4} d^{2} n\right)} x^{2 \, n} + 2 \, {\left(a b^{5} c^{2} n - 2 \, a^{2} b^{4} c d n + a^{3} b^{3} d^{2} n\right)} x^{n}\right)}}"," ",0,"c^2*log((b*x^n + a)/b)/(b^3*c^3*n - 3*a*b^2*c^2*d*n + 3*a^2*b*c*d^2*n - a^3*d^3*n) - c^2*log((d*x^n + c)/d)/(b^3*c^3*n - 3*a*b^2*c^2*d*n + 3*a^2*b*c*d^2*n - a^3*d^3*n) + 1/2*(3*a^2*b*c - a^3*d + 2*(2*a*b^2*c - a^2*b*d)*x^n)/(a^2*b^4*c^2*n - 2*a^3*b^3*c*d*n + a^4*b^2*d^2*n + (b^6*c^2*n - 2*a*b^5*c*d*n + a^2*b^4*d^2*n)*x^(2*n) + 2*(a*b^5*c^2*n - 2*a^2*b^4*c*d*n + a^3*b^3*d^2*n)*x^n)","B",0
1051,1,154,0,0.565786," ","integrate(x^13*(c*x+b)^13*(2*c*x+b),x, algorithm=""maxima"")","\frac{1}{14} \, c^{14} x^{28} + b c^{13} x^{27} + \frac{13}{2} \, b^{2} c^{12} x^{26} + 26 \, b^{3} c^{11} x^{25} + \frac{143}{2} \, b^{4} c^{10} x^{24} + 143 \, b^{5} c^{9} x^{23} + \frac{429}{2} \, b^{6} c^{8} x^{22} + \frac{1716}{7} \, b^{7} c^{7} x^{21} + \frac{429}{2} \, b^{8} c^{6} x^{20} + 143 \, b^{9} c^{5} x^{19} + \frac{143}{2} \, b^{10} c^{4} x^{18} + 26 \, b^{11} c^{3} x^{17} + \frac{13}{2} \, b^{12} c^{2} x^{16} + b^{13} c x^{15} + \frac{1}{14} \, b^{14} x^{14}"," ",0,"1/14*c^14*x^28 + b*c^13*x^27 + 13/2*b^2*c^12*x^26 + 26*b^3*c^11*x^25 + 143/2*b^4*c^10*x^24 + 143*b^5*c^9*x^23 + 429/2*b^6*c^8*x^22 + 1716/7*b^7*c^7*x^21 + 429/2*b^8*c^6*x^20 + 143*b^9*c^5*x^19 + 143/2*b^10*c^4*x^18 + 26*b^11*c^3*x^17 + 13/2*b^12*c^2*x^16 + b^13*c*x^15 + 1/14*b^14*x^14","B",0
1052,1,156,0,0.731119," ","integrate(x^27*(c*x^2+b)^13*(2*c*x^2+b),x, algorithm=""maxima"")","\frac{1}{28} \, c^{14} x^{56} + \frac{1}{2} \, b c^{13} x^{54} + \frac{13}{4} \, b^{2} c^{12} x^{52} + 13 \, b^{3} c^{11} x^{50} + \frac{143}{4} \, b^{4} c^{10} x^{48} + \frac{143}{2} \, b^{5} c^{9} x^{46} + \frac{429}{4} \, b^{6} c^{8} x^{44} + \frac{858}{7} \, b^{7} c^{7} x^{42} + \frac{429}{4} \, b^{8} c^{6} x^{40} + \frac{143}{2} \, b^{9} c^{5} x^{38} + \frac{143}{4} \, b^{10} c^{4} x^{36} + 13 \, b^{11} c^{3} x^{34} + \frac{13}{4} \, b^{12} c^{2} x^{32} + \frac{1}{2} \, b^{13} c x^{30} + \frac{1}{28} \, b^{14} x^{28}"," ",0,"1/28*c^14*x^56 + 1/2*b*c^13*x^54 + 13/4*b^2*c^12*x^52 + 13*b^3*c^11*x^50 + 143/4*b^4*c^10*x^48 + 143/2*b^5*c^9*x^46 + 429/4*b^6*c^8*x^44 + 858/7*b^7*c^7*x^42 + 429/4*b^8*c^6*x^40 + 143/2*b^9*c^5*x^38 + 143/4*b^10*c^4*x^36 + 13*b^11*c^3*x^34 + 13/4*b^12*c^2*x^32 + 1/2*b^13*c*x^30 + 1/28*b^14*x^28","B",0
1053,1,156,0,0.624036," ","integrate(x^41*(c*x^3+b)^13*(2*c*x^3+b),x, algorithm=""maxima"")","\frac{1}{42} \, c^{14} x^{84} + \frac{1}{3} \, b c^{13} x^{81} + \frac{13}{6} \, b^{2} c^{12} x^{78} + \frac{26}{3} \, b^{3} c^{11} x^{75} + \frac{143}{6} \, b^{4} c^{10} x^{72} + \frac{143}{3} \, b^{5} c^{9} x^{69} + \frac{143}{2} \, b^{6} c^{8} x^{66} + \frac{572}{7} \, b^{7} c^{7} x^{63} + \frac{143}{2} \, b^{8} c^{6} x^{60} + \frac{143}{3} \, b^{9} c^{5} x^{57} + \frac{143}{6} \, b^{10} c^{4} x^{54} + \frac{26}{3} \, b^{11} c^{3} x^{51} + \frac{13}{6} \, b^{12} c^{2} x^{48} + \frac{1}{3} \, b^{13} c x^{45} + \frac{1}{42} \, b^{14} x^{42}"," ",0,"1/42*c^14*x^84 + 1/3*b*c^13*x^81 + 13/6*b^2*c^12*x^78 + 26/3*b^3*c^11*x^75 + 143/6*b^4*c^10*x^72 + 143/3*b^5*c^9*x^69 + 143/2*b^6*c^8*x^66 + 572/7*b^7*c^7*x^63 + 143/2*b^8*c^6*x^60 + 143/3*b^9*c^5*x^57 + 143/6*b^10*c^4*x^54 + 26/3*b^11*c^3*x^51 + 13/6*b^12*c^2*x^48 + 1/3*b^13*c*x^45 + 1/42*b^14*x^42","B",0
1054,1,229,0,0.644068," ","integrate(x^(-1+14*n)*(b+c*x^n)^13*(b+2*c*x^n),x, algorithm=""maxima"")","\frac{c^{14} x^{28 \, n}}{14 \, n} + \frac{b c^{13} x^{27 \, n}}{n} + \frac{13 \, b^{2} c^{12} x^{26 \, n}}{2 \, n} + \frac{26 \, b^{3} c^{11} x^{25 \, n}}{n} + \frac{143 \, b^{4} c^{10} x^{24 \, n}}{2 \, n} + \frac{143 \, b^{5} c^{9} x^{23 \, n}}{n} + \frac{429 \, b^{6} c^{8} x^{22 \, n}}{2 \, n} + \frac{1716 \, b^{7} c^{7} x^{21 \, n}}{7 \, n} + \frac{429 \, b^{8} c^{6} x^{20 \, n}}{2 \, n} + \frac{143 \, b^{9} c^{5} x^{19 \, n}}{n} + \frac{143 \, b^{10} c^{4} x^{18 \, n}}{2 \, n} + \frac{26 \, b^{11} c^{3} x^{17 \, n}}{n} + \frac{13 \, b^{12} c^{2} x^{16 \, n}}{2 \, n} + \frac{b^{13} c x^{15 \, n}}{n} + \frac{b^{14} x^{14 \, n}}{14 \, n}"," ",0,"1/14*c^14*x^(28*n)/n + b*c^13*x^(27*n)/n + 13/2*b^2*c^12*x^(26*n)/n + 26*b^3*c^11*x^(25*n)/n + 143/2*b^4*c^10*x^(24*n)/n + 143*b^5*c^9*x^(23*n)/n + 429/2*b^6*c^8*x^(22*n)/n + 1716/7*b^7*c^7*x^(21*n)/n + 429/2*b^8*c^6*x^(20*n)/n + 143*b^9*c^5*x^(19*n)/n + 143/2*b^10*c^4*x^(18*n)/n + 26*b^11*c^3*x^(17*n)/n + 13/2*b^12*c^2*x^(16*n)/n + b^13*c*x^(15*n)/n + 1/14*b^14*x^(14*n)/n","B",0
1055,1,16,0,0.841792," ","integrate(x^(-1+m)*(a+b*x^n)^(-1+p)*(a*m+b*(n*p+m)*x^n),x, algorithm=""maxima"")","e^{\left(p \log\left(b x^{n} + a\right) + m \log\left(x\right)\right)}"," ",0,"e^(p*log(b*x^n + a) + m*log(x))","A",0
1056,1,9,0,0.478391," ","integrate((2*c*x+b)/x/(c*x+b),x, algorithm=""maxima"")","\log\left(c x + b\right) + \log\left(x\right)"," ",0,"log(c*x + b) + log(x)","A",0
1057,1,17,0,0.487753," ","integrate((2*c*x^2+b)/x/(c*x^2+b),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(c x^{2} + b\right) + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"1/2*log(c*x^2 + b) + 1/2*log(x^2)","A",0
1058,1,17,0,0.553971," ","integrate((2*c*x^3+b)/x/(c*x^3+b),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(c x^{3} + b\right) + \frac{1}{3} \, \log\left(x^{3}\right)"," ",0,"1/3*log(c*x^3 + b) + 1/3*log(x^3)","A",0
1059,1,47,0,0.488723," ","integrate((b+2*c*x^n)/x/(b+c*x^n),x, algorithm=""maxima"")","b {\left(\frac{\log\left(x\right)}{b} - \frac{\log\left(\frac{c x^{n} + b}{c}\right)}{b n}\right)} + \frac{2 \, \log\left(\frac{c x^{n} + b}{c}\right)}{n}"," ",0,"b*(log(x)/b - log((c*x^n + b)/c)/(b*n)) + 2*log((c*x^n + b)/c)/n","B",0
1060,1,81,0,0.612070," ","integrate((2*c*x+b)/x^8/(c*x+b)^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c^{7} x^{14} + 7 \, b c^{6} x^{13} + 21 \, b^{2} c^{5} x^{12} + 35 \, b^{3} c^{4} x^{11} + 35 \, b^{4} c^{3} x^{10} + 21 \, b^{5} c^{2} x^{9} + 7 \, b^{6} c x^{8} + b^{7} x^{7}\right)}}"," ",0,"-1/7/(c^7*x^14 + 7*b*c^6*x^13 + 21*b^2*c^5*x^12 + 35*b^3*c^4*x^11 + 35*b^4*c^3*x^10 + 21*b^5*c^2*x^9 + 7*b^6*c*x^8 + b^7*x^7)","B",0
1061,1,81,0,0.637755," ","integrate((2*c*x^2+b)/x^15/(c*x^2+b)^8,x, algorithm=""maxima"")","-\frac{1}{14 \, {\left(c^{7} x^{28} + 7 \, b c^{6} x^{26} + 21 \, b^{2} c^{5} x^{24} + 35 \, b^{3} c^{4} x^{22} + 35 \, b^{4} c^{3} x^{20} + 21 \, b^{5} c^{2} x^{18} + 7 \, b^{6} c x^{16} + b^{7} x^{14}\right)}}"," ",0,"-1/14/(c^7*x^28 + 7*b*c^6*x^26 + 21*b^2*c^5*x^24 + 35*b^3*c^4*x^22 + 35*b^4*c^3*x^20 + 21*b^5*c^2*x^18 + 7*b^6*c*x^16 + b^7*x^14)","B",0
1062,1,81,0,0.613957," ","integrate((2*c*x^3+b)/x^22/(c*x^3+b)^8,x, algorithm=""maxima"")","-\frac{1}{21 \, {\left(c^{7} x^{42} + 7 \, b c^{6} x^{39} + 21 \, b^{2} c^{5} x^{36} + 35 \, b^{3} c^{4} x^{33} + 35 \, b^{4} c^{3} x^{30} + 21 \, b^{5} c^{2} x^{27} + 7 \, b^{6} c x^{24} + b^{7} x^{21}\right)}}"," ",0,"-1/21/(c^7*x^42 + 7*b*c^6*x^39 + 21*b^2*c^5*x^36 + 35*b^3*c^4*x^33 + 35*b^4*c^3*x^30 + 21*b^5*c^2*x^27 + 7*b^6*c*x^24 + b^7*x^21)","B",0
1063,1,612,0,0.787277," ","integrate(x^(-1-7*n)*(b+2*c*x^n)/(b+c*x^n)^8,x, algorithm=""maxima"")","-\frac{1}{105} \, b {\left(\frac{360360 \, c^{13} x^{13 \, n} + 2342340 \, b c^{12} x^{12 \, n} + 6426420 \, b^{2} c^{11} x^{11 \, n} + 9579570 \, b^{3} c^{10} x^{10 \, n} + 8270262 \, b^{4} c^{9} x^{9 \, n} + 4018014 \, b^{5} c^{8} x^{8 \, n} + 934362 \, b^{6} c^{7} x^{7 \, n} + 45045 \, b^{7} c^{6} x^{6 \, n} - 5005 \, b^{8} c^{5} x^{5 \, n} + 1001 \, b^{9} c^{4} x^{4 \, n} - 273 \, b^{10} c^{3} x^{3 \, n} + 91 \, b^{11} c^{2} x^{2 \, n} - 35 \, b^{12} c x^{n} + 15 \, b^{13}}{b^{14} c^{7} n x^{14 \, n} + 7 \, b^{15} c^{6} n x^{13 \, n} + 21 \, b^{16} c^{5} n x^{12 \, n} + 35 \, b^{17} c^{4} n x^{11 \, n} + 35 \, b^{18} c^{3} n x^{10 \, n} + 21 \, b^{19} c^{2} n x^{9 \, n} + 7 \, b^{20} c n x^{8 \, n} + b^{21} n x^{7 \, n}} + \frac{360360 \, c^{7} \log\left(x\right)}{b^{15}} - \frac{360360 \, c^{7} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{15} n}\right)} + \frac{1}{105} \, c {\left(\frac{360360 \, c^{12} x^{12 \, n} + 2342340 \, b c^{11} x^{11 \, n} + 6426420 \, b^{2} c^{10} x^{10 \, n} + 9579570 \, b^{3} c^{9} x^{9 \, n} + 8270262 \, b^{4} c^{8} x^{8 \, n} + 4018014 \, b^{5} c^{7} x^{7 \, n} + 934362 \, b^{6} c^{6} x^{6 \, n} + 45045 \, b^{7} c^{5} x^{5 \, n} - 5005 \, b^{8} c^{4} x^{4 \, n} + 1001 \, b^{9} c^{3} x^{3 \, n} - 273 \, b^{10} c^{2} x^{2 \, n} + 91 \, b^{11} c x^{n} - 35 \, b^{12}}{b^{13} c^{7} n x^{13 \, n} + 7 \, b^{14} c^{6} n x^{12 \, n} + 21 \, b^{15} c^{5} n x^{11 \, n} + 35 \, b^{16} c^{4} n x^{10 \, n} + 35 \, b^{17} c^{3} n x^{9 \, n} + 21 \, b^{18} c^{2} n x^{8 \, n} + 7 \, b^{19} c n x^{7 \, n} + b^{20} n x^{6 \, n}} + \frac{360360 \, c^{6} \log\left(x\right)}{b^{14}} - \frac{360360 \, c^{6} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{14} n}\right)}"," ",0,"-1/105*b*((360360*c^13*x^(13*n) + 2342340*b*c^12*x^(12*n) + 6426420*b^2*c^11*x^(11*n) + 9579570*b^3*c^10*x^(10*n) + 8270262*b^4*c^9*x^(9*n) + 4018014*b^5*c^8*x^(8*n) + 934362*b^6*c^7*x^(7*n) + 45045*b^7*c^6*x^(6*n) - 5005*b^8*c^5*x^(5*n) + 1001*b^9*c^4*x^(4*n) - 273*b^10*c^3*x^(3*n) + 91*b^11*c^2*x^(2*n) - 35*b^12*c*x^n + 15*b^13)/(b^14*c^7*n*x^(14*n) + 7*b^15*c^6*n*x^(13*n) + 21*b^16*c^5*n*x^(12*n) + 35*b^17*c^4*n*x^(11*n) + 35*b^18*c^3*n*x^(10*n) + 21*b^19*c^2*n*x^(9*n) + 7*b^20*c*n*x^(8*n) + b^21*n*x^(7*n)) + 360360*c^7*log(x)/b^15 - 360360*c^7*log((c*x^n + b)/c)/(b^15*n)) + 1/105*c*((360360*c^12*x^(12*n) + 2342340*b*c^11*x^(11*n) + 6426420*b^2*c^10*x^(10*n) + 9579570*b^3*c^9*x^(9*n) + 8270262*b^4*c^8*x^(8*n) + 4018014*b^5*c^7*x^(7*n) + 934362*b^6*c^6*x^(6*n) + 45045*b^7*c^5*x^(5*n) - 5005*b^8*c^4*x^(4*n) + 1001*b^9*c^3*x^(3*n) - 273*b^10*c^2*x^(2*n) + 91*b^11*c*x^n - 35*b^12)/(b^13*c^7*n*x^(13*n) + 7*b^14*c^6*n*x^(12*n) + 21*b^15*c^5*n*x^(11*n) + 35*b^16*c^4*n*x^(10*n) + 35*b^17*c^3*n*x^(9*n) + 21*b^18*c^2*n*x^(8*n) + 7*b^19*c*n*x^(7*n) + b^20*n*x^(6*n)) + 360360*c^6*log(x)/b^14 - 360360*c^6*log((c*x^n + b)/c)/(b^14*n))","B",0
1064,1,53,0,1.251609," ","integrate(x^31*(x^16+1)^(1/2)/(-x^16+1),x, algorithm=""maxima"")","-\frac{1}{24} \, {\left(x^{16} + 1\right)}^{\frac{3}{2}} - \frac{1}{16} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{x^{16} + 1}}{\sqrt{2} + \sqrt{x^{16} + 1}}\right) - \frac{1}{8} \, \sqrt{x^{16} + 1}"," ",0,"-1/24*(x^16 + 1)^(3/2) - 1/16*sqrt(2)*log(-(sqrt(2) - sqrt(x^16 + 1))/(sqrt(2) + sqrt(x^16 + 1))) - 1/8*sqrt(x^16 + 1)","A",0
1065,0,0,0,0.000000," ","integrate((c+d/x)^(1/2)/x/(a+b/x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c + \frac{d}{x}}}{\sqrt{a + \frac{b}{x}} x}\,{d x}"," ",0,"integrate(sqrt(c + d/x)/(sqrt(a + b/x)*x), x)","F",0
1066,0,0,0,0.000000," ","integrate(x^(-1+2*n)*(a+b*x^n)^(5/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{5}{2}} x^{2 \, n - 1}}{\sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate((b*x^n + a)^(5/2)*x^(2*n - 1)/sqrt(d*x^n + c), x)","F",0
1067,0,0,0,0.000000," ","integrate(x^(-1+2*n)*(a+b*x^n)^(3/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{3}{2}} x^{2 \, n - 1}}{\sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2)*x^(2*n - 1)/sqrt(d*x^n + c), x)","F",0
1068,0,0,0,0.000000," ","integrate(x^(-1+2*n)*(a+b*x^n)^(1/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{n} + a} x^{2 \, n - 1}}{\sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x^(2*n - 1)/sqrt(d*x^n + c), x)","F",0
1069,0,0,0,0.000000," ","integrate(x^(-1+2*n)/(a+b*x^n)^(1/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2 \, n - 1}}{\sqrt{b x^{n} + a} \sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(x^(2*n - 1)/(sqrt(b*x^n + a)*sqrt(d*x^n + c)), x)","F",0
1070,0,0,0,0.000000," ","integrate(x^(-1+2*n)/(a+b*x^n)^(3/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2 \, n - 1}}{{\left(b x^{n} + a\right)}^{\frac{3}{2}} \sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(x^(2*n - 1)/((b*x^n + a)^(3/2)*sqrt(d*x^n + c)), x)","F",0
1071,0,0,0,0.000000," ","integrate(x^(-1+2*n)/(a+b*x^n)^(5/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2 \, n - 1}}{{\left(b x^{n} + a\right)}^{\frac{5}{2}} \sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(x^(2*n - 1)/((b*x^n + a)^(5/2)*sqrt(d*x^n + c)), x)","F",0
1072,0,0,0,0.000000," ","integrate(x^(-1+3*n)*(a+b*x^n)^(5/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{5}{2}} x^{3 \, n - 1}}{\sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate((b*x^n + a)^(5/2)*x^(3*n - 1)/sqrt(d*x^n + c), x)","F",0
1073,0,0,0,0.000000," ","integrate(x^(-1+3*n)*(a+b*x^n)^(3/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{3}{2}} x^{3 \, n - 1}}{\sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2)*x^(3*n - 1)/sqrt(d*x^n + c), x)","F",0
1074,0,0,0,0.000000," ","integrate(x^(-1+3*n)*(a+b*x^n)^(1/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{n} + a} x^{3 \, n - 1}}{\sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x^(3*n - 1)/sqrt(d*x^n + c), x)","F",0
1075,0,0,0,0.000000," ","integrate(x^(-1+3*n)/(a+b*x^n)^(1/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3 \, n - 1}}{\sqrt{b x^{n} + a} \sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(x^(3*n - 1)/(sqrt(b*x^n + a)*sqrt(d*x^n + c)), x)","F",0
1076,0,0,0,0.000000," ","integrate(x^(-1+3*n)/(a+b*x^n)^(3/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3 \, n - 1}}{{\left(b x^{n} + a\right)}^{\frac{3}{2}} \sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(x^(3*n - 1)/((b*x^n + a)^(3/2)*sqrt(d*x^n + c)), x)","F",0
1077,0,0,0,0.000000," ","integrate(x^(-1+3*n)/(a+b*x^n)^(5/2)/(c+d*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3 \, n - 1}}{{\left(b x^{n} + a\right)}^{\frac{5}{2}} \sqrt{d x^{n} + c}}\,{d x}"," ",0,"integrate(x^(3*n - 1)/((b*x^n + a)^(5/2)*sqrt(d*x^n + c)), x)","F",0
1078,1,29,0,0.823598," ","integrate(x^p*(c*x+b)^p*(2*c*x+b),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)} e^{\left(p \log\left(c x + b\right) + p \log\left(x\right)\right)}}{p + 1}"," ",0,"(c*x^2 + b*x)*e^(p*log(c*x + b) + p*log(x))/(p + 1)","A",0
1079,1,35,0,0.888721," ","integrate(x^(1+2*p)*(c*x^2+b)^p*(2*c*x^2+b),x, algorithm=""maxima"")","\frac{{\left(c x^{4} + b x^{2}\right)} e^{\left(p \log\left(c x^{2} + b\right) + 2 \, p \log\left(x\right)\right)}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*(c*x^4 + b*x^2)*e^(p*log(c*x^2 + b) + 2*p*log(x))/(p + 1)","A",0
1080,1,35,0,0.692282," ","integrate(x^(2+3*p)*(c*x^3+b)^p*(2*c*x^3+b),x, algorithm=""maxima"")","\frac{{\left(c x^{6} + b x^{3}\right)} e^{\left(p \log\left(c x^{3} + b\right) + 3 \, p \log\left(x\right)\right)}}{3 \, {\left(p + 1\right)}}"," ",0,"1/3*(c*x^6 + b*x^3)*e^(p*log(c*x^3 + b) + 3*p*log(x))/(p + 1)","A",0
1081,1,39,0,0.957101," ","integrate(x^(-1+n*(1+p))*(b+c*x^n)^p*(b+2*c*x^n),x, algorithm=""maxima"")","\frac{{\left(c x^{2 \, n} + b x^{n}\right)} e^{\left(n p \log\left(x\right) + p \log\left(c x^{n} + b\right)\right)}}{n {\left(p + 1\right)}}"," ",0,"(c*x^(2*n) + b*x^n)*e^(n*p*log(x) + p*log(c*x^n + b))/(n*(p + 1))","A",0
