1,1,29,0,0.178730," ","integrate(x^2*(b*x^3+a)*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{9} \, B b x^{9} + \frac{1}{6} \, B a x^{6} + \frac{1}{6} \, A b x^{6} + \frac{1}{3} \, A a x^{3}"," ",0,"1/9*B*b*x^9 + 1/6*B*a*x^6 + 1/6*A*b*x^6 + 1/3*A*a*x^3","A",0
2,1,29,0,0.147600," ","integrate(x*(b*x^3+a)*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{8} \, B b x^{8} + \frac{1}{5} \, B a x^{5} + \frac{1}{5} \, A b x^{5} + \frac{1}{2} \, A a x^{2}"," ",0,"1/8*B*b*x^8 + 1/5*B*a*x^5 + 1/5*A*b*x^5 + 1/2*A*a*x^2","A",0
3,1,26,0,0.150274," ","integrate((b*x^3+a)*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{7} \, B b x^{7} + \frac{1}{4} \, B a x^{4} + \frac{1}{4} \, A b x^{4} + A a x"," ",0,"1/7*B*b*x^7 + 1/4*B*a*x^4 + 1/4*A*b*x^4 + A*a*x","A",0
4,1,28,0,0.150136," ","integrate((b*x^3+a)*(B*x^3+A)/x,x, algorithm=""giac"")","\frac{1}{6} \, B b x^{6} + \frac{1}{3} \, B a x^{3} + \frac{1}{3} \, A b x^{3} + A a \log\left({\left| x \right|}\right)"," ",0,"1/6*B*b*x^6 + 1/3*B*a*x^3 + 1/3*A*b*x^3 + A*a*log(abs(x))","A",0
5,1,29,0,0.146513," ","integrate((b*x^3+a)*(B*x^3+A)/x^2,x, algorithm=""giac"")","\frac{1}{5} \, B b x^{5} + \frac{1}{2} \, B a x^{2} + \frac{1}{2} \, A b x^{2} - \frac{A a}{x}"," ",0,"1/5*B*b*x^5 + 1/2*B*a*x^2 + 1/2*A*b*x^2 - A*a/x","A",0
6,1,23,0,0.158627," ","integrate((b*x^3+a)*(B*x^3+A)/x^3,x, algorithm=""giac"")","\frac{1}{4} \, B b x^{4} + B a x + A b x - \frac{A a}{2 \, x^{2}}"," ",0,"1/4*B*b*x^4 + B*a*x + A*b*x - 1/2*A*a/x^2","A",0
7,1,40,0,0.164426," ","integrate((b*x^3+a)*(B*x^3+A)/x^4,x, algorithm=""giac"")","\frac{1}{3} \, B b x^{3} + {\left(B a + A b\right)} \log\left({\left| x \right|}\right) - \frac{B a x^{3} + A b x^{3} + A a}{3 \, x^{3}}"," ",0,"1/3*B*b*x^3 + (B*a + A*b)*log(abs(x)) - 1/3*(B*a*x^3 + A*b*x^3 + A*a)/x^3","A",0
8,1,31,0,0.183871," ","integrate((b*x^3+a)*(B*x^3+A)/x^5,x, algorithm=""giac"")","\frac{1}{2} \, B b x^{2} - \frac{4 \, B a x^{3} + 4 \, A b x^{3} + A a}{4 \, x^{4}}"," ",0,"1/2*B*b*x^2 - 1/4*(4*B*a*x^3 + 4*A*b*x^3 + A*a)/x^4","A",0
9,1,29,0,0.183553," ","integrate((b*x^3+a)*(B*x^3+A)/x^6,x, algorithm=""giac"")","B b x - \frac{5 \, B a x^{3} + 5 \, A b x^{3} + 2 \, A a}{10 \, x^{5}}"," ",0,"B*b*x - 1/10*(5*B*a*x^3 + 5*A*b*x^3 + 2*A*a)/x^5","A",0
10,1,37,0,0.163622," ","integrate((b*x^3+a)*(B*x^3+A)/x^7,x, algorithm=""giac"")","B b \log\left({\left| x \right|}\right) - \frac{3 \, B b x^{6} + 2 \, B a x^{3} + 2 \, A b x^{3} + A a}{6 \, x^{6}}"," ",0,"B*b*log(abs(x)) - 1/6*(3*B*b*x^6 + 2*B*a*x^3 + 2*A*b*x^3 + A*a)/x^6","A",0
11,1,53,0,0.152689," ","integrate(x^2*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{12} \, B b^{2} x^{12} + \frac{2}{9} \, B a b x^{9} + \frac{1}{9} \, A b^{2} x^{9} + \frac{1}{6} \, B a^{2} x^{6} + \frac{1}{3} \, A a b x^{6} + \frac{1}{3} \, A a^{2} x^{3}"," ",0,"1/12*B*b^2*x^12 + 2/9*B*a*b*x^9 + 1/9*A*b^2*x^9 + 1/6*B*a^2*x^6 + 1/3*A*a*b*x^6 + 1/3*A*a^2*x^3","A",0
12,1,53,0,0.149137," ","integrate(x*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{11} \, B b^{2} x^{11} + \frac{1}{4} \, B a b x^{8} + \frac{1}{8} \, A b^{2} x^{8} + \frac{1}{5} \, B a^{2} x^{5} + \frac{2}{5} \, A a b x^{5} + \frac{1}{2} \, A a^{2} x^{2}"," ",0,"1/11*B*b^2*x^11 + 1/4*B*a*b*x^8 + 1/8*A*b^2*x^8 + 1/5*B*a^2*x^5 + 2/5*A*a*b*x^5 + 1/2*A*a^2*x^2","A",0
13,1,50,0,0.168157," ","integrate((b*x^3+a)^2*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{10} \, B b^{2} x^{10} + \frac{2}{7} \, B a b x^{7} + \frac{1}{7} \, A b^{2} x^{7} + \frac{1}{4} \, B a^{2} x^{4} + \frac{1}{2} \, A a b x^{4} + A a^{2} x"," ",0,"1/10*B*b^2*x^10 + 2/7*B*a*b*x^7 + 1/7*A*b^2*x^7 + 1/4*B*a^2*x^4 + 1/2*A*a*b*x^4 + A*a^2*x","A",0
14,1,52,0,0.148669," ","integrate((b*x^3+a)^2*(B*x^3+A)/x,x, algorithm=""giac"")","\frac{1}{9} \, B b^{2} x^{9} + \frac{1}{3} \, B a b x^{6} + \frac{1}{6} \, A b^{2} x^{6} + \frac{1}{3} \, B a^{2} x^{3} + \frac{2}{3} \, A a b x^{3} + A a^{2} \log\left({\left| x \right|}\right)"," ",0,"1/9*B*b^2*x^9 + 1/3*B*a*b*x^6 + 1/6*A*b^2*x^6 + 1/3*B*a^2*x^3 + 2/3*A*a*b*x^3 + A*a^2*log(abs(x))","A",0
15,1,52,0,0.151387," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^2,x, algorithm=""giac"")","\frac{1}{8} \, B b^{2} x^{8} + \frac{2}{5} \, B a b x^{5} + \frac{1}{5} \, A b^{2} x^{5} + \frac{1}{2} \, B a^{2} x^{2} + A a b x^{2} - \frac{A a^{2}}{x}"," ",0,"1/8*B*b^2*x^8 + 2/5*B*a*b*x^5 + 1/5*A*b^2*x^5 + 1/2*B*a^2*x^2 + A*a*b*x^2 - A*a^2/x","A",0
16,1,48,0,0.168582," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^3,x, algorithm=""giac"")","\frac{1}{7} \, B b^{2} x^{7} + \frac{1}{2} \, B a b x^{4} + \frac{1}{4} \, A b^{2} x^{4} + B a^{2} x + 2 \, A a b x - \frac{A a^{2}}{2 \, x^{2}}"," ",0,"1/7*B*b^2*x^7 + 1/2*B*a*b*x^4 + 1/4*A*b^2*x^4 + B*a^2*x + 2*A*a*b*x - 1/2*A*a^2/x^2","A",0
17,1,69,0,0.148149," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^4,x, algorithm=""giac"")","\frac{1}{6} \, B b^{2} x^{6} + \frac{2}{3} \, B a b x^{3} + \frac{1}{3} \, A b^{2} x^{3} + {\left(B a^{2} + 2 \, A a b\right)} \log\left({\left| x \right|}\right) - \frac{B a^{2} x^{3} + 2 \, A a b x^{3} + A a^{2}}{3 \, x^{3}}"," ",0,"1/6*B*b^2*x^6 + 2/3*B*a*b*x^3 + 1/3*A*b^2*x^3 + (B*a^2 + 2*A*a*b)*log(abs(x)) - 1/3*(B*a^2*x^3 + 2*A*a*b*x^3 + A*a^2)/x^3","A",0
18,1,54,0,0.148587," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^5,x, algorithm=""giac"")","\frac{1}{5} \, B b^{2} x^{5} + B a b x^{2} + \frac{1}{2} \, A b^{2} x^{2} - \frac{4 \, B a^{2} x^{3} + 8 \, A a b x^{3} + A a^{2}}{4 \, x^{4}}"," ",0,"1/5*B*b^2*x^5 + B*a*b*x^2 + 1/2*A*b^2*x^2 - 1/4*(4*B*a^2*x^3 + 8*A*a*b*x^3 + A*a^2)/x^4","A",0
19,1,51,0,0.149924," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^6,x, algorithm=""giac"")","\frac{1}{4} \, B b^{2} x^{4} + 2 \, B a b x + A b^{2} x - \frac{5 \, B a^{2} x^{3} + 10 \, A a b x^{3} + 2 \, A a^{2}}{10 \, x^{5}}"," ",0,"1/4*B*b^2*x^4 + 2*B*a*b*x + A*b^2*x - 1/10*(5*B*a^2*x^3 + 10*A*a*b*x^3 + 2*A*a^2)/x^5","A",0
20,1,70,0,0.206630," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^7,x, algorithm=""giac"")","\frac{1}{3} \, B b^{2} x^{3} + {\left(2 \, B a b + A b^{2}\right)} \log\left({\left| x \right|}\right) - \frac{6 \, B a b x^{6} + 3 \, A b^{2} x^{6} + 2 \, B a^{2} x^{3} + 4 \, A a b x^{3} + A a^{2}}{6 \, x^{6}}"," ",0,"1/3*B*b^2*x^3 + (2*B*a*b + A*b^2)*log(abs(x)) - 1/6*(6*B*a*b*x^6 + 3*A*b^2*x^6 + 2*B*a^2*x^3 + 4*A*a*b*x^3 + A*a^2)/x^6","A",0
21,1,56,0,0.151532," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^8,x, algorithm=""giac"")","\frac{1}{2} \, B b^{2} x^{2} - \frac{56 \, B a b x^{6} + 28 \, A b^{2} x^{6} + 7 \, B a^{2} x^{3} + 14 \, A a b x^{3} + 4 \, A a^{2}}{28 \, x^{7}}"," ",0,"1/2*B*b^2*x^2 - 1/28*(56*B*a*b*x^6 + 28*A*b^2*x^6 + 7*B*a^2*x^3 + 14*A*a*b*x^3 + 4*A*a^2)/x^7","A",0
22,1,53,0,0.148184," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^9,x, algorithm=""giac"")","B b^{2} x - \frac{40 \, B a b x^{6} + 20 \, A b^{2} x^{6} + 8 \, B a^{2} x^{3} + 16 \, A a b x^{3} + 5 \, A a^{2}}{40 \, x^{8}}"," ",0,"B*b^2*x - 1/40*(40*B*a*b*x^6 + 20*A*b^2*x^6 + 8*B*a^2*x^3 + 16*A*a*b*x^3 + 5*A*a^2)/x^8","A",0
23,1,125,0,0.159888," ","integrate(x^9*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{28} \, B b^{5} x^{28} + \frac{1}{5} \, B a b^{4} x^{25} + \frac{1}{25} \, A b^{5} x^{25} + \frac{5}{11} \, B a^{2} b^{3} x^{22} + \frac{5}{22} \, A a b^{4} x^{22} + \frac{10}{19} \, B a^{3} b^{2} x^{19} + \frac{10}{19} \, A a^{2} b^{3} x^{19} + \frac{5}{16} \, B a^{4} b x^{16} + \frac{5}{8} \, A a^{3} b^{2} x^{16} + \frac{1}{13} \, B a^{5} x^{13} + \frac{5}{13} \, A a^{4} b x^{13} + \frac{1}{10} \, A a^{5} x^{10}"," ",0,"1/28*B*b^5*x^28 + 1/5*B*a*b^4*x^25 + 1/25*A*b^5*x^25 + 5/11*B*a^2*b^3*x^22 + 5/22*A*a*b^4*x^22 + 10/19*B*a^3*b^2*x^19 + 10/19*A*a^2*b^3*x^19 + 5/16*B*a^4*b*x^16 + 5/8*A*a^3*b^2*x^16 + 1/13*B*a^5*x^13 + 5/13*A*a^4*b*x^13 + 1/10*A*a^5*x^10","A",0
24,1,125,0,0.172682," ","integrate(x^8*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{27} \, B b^{5} x^{27} + \frac{5}{24} \, B a b^{4} x^{24} + \frac{1}{24} \, A b^{5} x^{24} + \frac{10}{21} \, B a^{2} b^{3} x^{21} + \frac{5}{21} \, A a b^{4} x^{21} + \frac{5}{9} \, B a^{3} b^{2} x^{18} + \frac{5}{9} \, A a^{2} b^{3} x^{18} + \frac{1}{3} \, B a^{4} b x^{15} + \frac{2}{3} \, A a^{3} b^{2} x^{15} + \frac{1}{12} \, B a^{5} x^{12} + \frac{5}{12} \, A a^{4} b x^{12} + \frac{1}{9} \, A a^{5} x^{9}"," ",0,"1/27*B*b^5*x^27 + 5/24*B*a*b^4*x^24 + 1/24*A*b^5*x^24 + 10/21*B*a^2*b^3*x^21 + 5/21*A*a*b^4*x^21 + 5/9*B*a^3*b^2*x^18 + 5/9*A*a^2*b^3*x^18 + 1/3*B*a^4*b*x^15 + 2/3*A*a^3*b^2*x^15 + 1/12*B*a^5*x^12 + 5/12*A*a^4*b*x^12 + 1/9*A*a^5*x^9","A",0
25,1,125,0,0.153233," ","integrate(x^7*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{26} \, B b^{5} x^{26} + \frac{5}{23} \, B a b^{4} x^{23} + \frac{1}{23} \, A b^{5} x^{23} + \frac{1}{2} \, B a^{2} b^{3} x^{20} + \frac{1}{4} \, A a b^{4} x^{20} + \frac{10}{17} \, B a^{3} b^{2} x^{17} + \frac{10}{17} \, A a^{2} b^{3} x^{17} + \frac{5}{14} \, B a^{4} b x^{14} + \frac{5}{7} \, A a^{3} b^{2} x^{14} + \frac{1}{11} \, B a^{5} x^{11} + \frac{5}{11} \, A a^{4} b x^{11} + \frac{1}{8} \, A a^{5} x^{8}"," ",0,"1/26*B*b^5*x^26 + 5/23*B*a*b^4*x^23 + 1/23*A*b^5*x^23 + 1/2*B*a^2*b^3*x^20 + 1/4*A*a*b^4*x^20 + 10/17*B*a^3*b^2*x^17 + 10/17*A*a^2*b^3*x^17 + 5/14*B*a^4*b*x^14 + 5/7*A*a^3*b^2*x^14 + 1/11*B*a^5*x^11 + 5/11*A*a^4*b*x^11 + 1/8*A*a^5*x^8","A",0
26,1,125,0,0.152024," ","integrate(x^6*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{25} \, B b^{5} x^{25} + \frac{5}{22} \, B a b^{4} x^{22} + \frac{1}{22} \, A b^{5} x^{22} + \frac{10}{19} \, B a^{2} b^{3} x^{19} + \frac{5}{19} \, A a b^{4} x^{19} + \frac{5}{8} \, B a^{3} b^{2} x^{16} + \frac{5}{8} \, A a^{2} b^{3} x^{16} + \frac{5}{13} \, B a^{4} b x^{13} + \frac{10}{13} \, A a^{3} b^{2} x^{13} + \frac{1}{10} \, B a^{5} x^{10} + \frac{1}{2} \, A a^{4} b x^{10} + \frac{1}{7} \, A a^{5} x^{7}"," ",0,"1/25*B*b^5*x^25 + 5/22*B*a*b^4*x^22 + 1/22*A*b^5*x^22 + 10/19*B*a^2*b^3*x^19 + 5/19*A*a*b^4*x^19 + 5/8*B*a^3*b^2*x^16 + 5/8*A*a^2*b^3*x^16 + 5/13*B*a^4*b*x^13 + 10/13*A*a^3*b^2*x^13 + 1/10*B*a^5*x^10 + 1/2*A*a^4*b*x^10 + 1/7*A*a^5*x^7","A",0
27,1,125,0,0.155875," ","integrate(x^5*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{24} \, B b^{5} x^{24} + \frac{5}{21} \, B a b^{4} x^{21} + \frac{1}{21} \, A b^{5} x^{21} + \frac{5}{9} \, B a^{2} b^{3} x^{18} + \frac{5}{18} \, A a b^{4} x^{18} + \frac{2}{3} \, B a^{3} b^{2} x^{15} + \frac{2}{3} \, A a^{2} b^{3} x^{15} + \frac{5}{12} \, B a^{4} b x^{12} + \frac{5}{6} \, A a^{3} b^{2} x^{12} + \frac{1}{9} \, B a^{5} x^{9} + \frac{5}{9} \, A a^{4} b x^{9} + \frac{1}{6} \, A a^{5} x^{6}"," ",0,"1/24*B*b^5*x^24 + 5/21*B*a*b^4*x^21 + 1/21*A*b^5*x^21 + 5/9*B*a^2*b^3*x^18 + 5/18*A*a*b^4*x^18 + 2/3*B*a^3*b^2*x^15 + 2/3*A*a^2*b^3*x^15 + 5/12*B*a^4*b*x^12 + 5/6*A*a^3*b^2*x^12 + 1/9*B*a^5*x^9 + 5/9*A*a^4*b*x^9 + 1/6*A*a^5*x^6","B",0
28,1,125,0,0.227409," ","integrate(x^4*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{23} \, B b^{5} x^{23} + \frac{1}{4} \, B a b^{4} x^{20} + \frac{1}{20} \, A b^{5} x^{20} + \frac{10}{17} \, B a^{2} b^{3} x^{17} + \frac{5}{17} \, A a b^{4} x^{17} + \frac{5}{7} \, B a^{3} b^{2} x^{14} + \frac{5}{7} \, A a^{2} b^{3} x^{14} + \frac{5}{11} \, B a^{4} b x^{11} + \frac{10}{11} \, A a^{3} b^{2} x^{11} + \frac{1}{8} \, B a^{5} x^{8} + \frac{5}{8} \, A a^{4} b x^{8} + \frac{1}{5} \, A a^{5} x^{5}"," ",0,"1/23*B*b^5*x^23 + 1/4*B*a*b^4*x^20 + 1/20*A*b^5*x^20 + 10/17*B*a^2*b^3*x^17 + 5/17*A*a*b^4*x^17 + 5/7*B*a^3*b^2*x^14 + 5/7*A*a^2*b^3*x^14 + 5/11*B*a^4*b*x^11 + 10/11*A*a^3*b^2*x^11 + 1/8*B*a^5*x^8 + 5/8*A*a^4*b*x^8 + 1/5*A*a^5*x^5","A",0
29,1,124,0,0.156392," ","integrate(x^3*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{22} \, B b^{5} x^{22} + \frac{5}{19} \, B a b^{4} x^{19} + \frac{1}{19} \, A b^{5} x^{19} + \frac{5}{8} \, B a^{2} b^{3} x^{16} + \frac{5}{16} \, A a b^{4} x^{16} + \frac{10}{13} \, B a^{3} b^{2} x^{13} + \frac{10}{13} \, A a^{2} b^{3} x^{13} + \frac{1}{2} \, B a^{4} b x^{10} + A a^{3} b^{2} x^{10} + \frac{1}{7} \, B a^{5} x^{7} + \frac{5}{7} \, A a^{4} b x^{7} + \frac{1}{4} \, A a^{5} x^{4}"," ",0,"1/22*B*b^5*x^22 + 5/19*B*a*b^4*x^19 + 1/19*A*b^5*x^19 + 5/8*B*a^2*b^3*x^16 + 5/16*A*a*b^4*x^16 + 10/13*B*a^3*b^2*x^13 + 10/13*A*a^2*b^3*x^13 + 1/2*B*a^4*b*x^10 + A*a^3*b^2*x^10 + 1/7*B*a^5*x^7 + 5/7*A*a^4*b*x^7 + 1/4*A*a^5*x^4","A",0
30,1,125,0,0.172762," ","integrate(x^2*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{21} \, B b^{5} x^{21} + \frac{5}{18} \, B a b^{4} x^{18} + \frac{1}{18} \, A b^{5} x^{18} + \frac{2}{3} \, B a^{2} b^{3} x^{15} + \frac{1}{3} \, A a b^{4} x^{15} + \frac{5}{6} \, B a^{3} b^{2} x^{12} + \frac{5}{6} \, A a^{2} b^{3} x^{12} + \frac{5}{9} \, B a^{4} b x^{9} + \frac{10}{9} \, A a^{3} b^{2} x^{9} + \frac{1}{6} \, B a^{5} x^{6} + \frac{5}{6} \, A a^{4} b x^{6} + \frac{1}{3} \, A a^{5} x^{3}"," ",0,"1/21*B*b^5*x^21 + 5/18*B*a*b^4*x^18 + 1/18*A*b^5*x^18 + 2/3*B*a^2*b^3*x^15 + 1/3*A*a*b^4*x^15 + 5/6*B*a^3*b^2*x^12 + 5/6*A*a^2*b^3*x^12 + 5/9*B*a^4*b*x^9 + 10/9*A*a^3*b^2*x^9 + 1/6*B*a^5*x^6 + 5/6*A*a^4*b*x^6 + 1/3*A*a^5*x^3","B",0
31,1,124,0,0.153450," ","integrate(x*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{20} \, B b^{5} x^{20} + \frac{5}{17} \, B a b^{4} x^{17} + \frac{1}{17} \, A b^{5} x^{17} + \frac{5}{7} \, B a^{2} b^{3} x^{14} + \frac{5}{14} \, A a b^{4} x^{14} + \frac{10}{11} \, B a^{3} b^{2} x^{11} + \frac{10}{11} \, A a^{2} b^{3} x^{11} + \frac{5}{8} \, B a^{4} b x^{8} + \frac{5}{4} \, A a^{3} b^{2} x^{8} + \frac{1}{5} \, B a^{5} x^{5} + A a^{4} b x^{5} + \frac{1}{2} \, A a^{5} x^{2}"," ",0,"1/20*B*b^5*x^20 + 5/17*B*a*b^4*x^17 + 1/17*A*b^5*x^17 + 5/7*B*a^2*b^3*x^14 + 5/14*A*a*b^4*x^14 + 10/11*B*a^3*b^2*x^11 + 10/11*A*a^2*b^3*x^11 + 5/8*B*a^4*b*x^8 + 5/4*A*a^3*b^2*x^8 + 1/5*B*a^5*x^5 + A*a^4*b*x^5 + 1/2*A*a^5*x^2","A",0
32,1,120,0,0.169154," ","integrate((b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{19} \, B b^{5} x^{19} + \frac{5}{16} \, B a b^{4} x^{16} + \frac{1}{16} \, A b^{5} x^{16} + \frac{10}{13} \, B a^{2} b^{3} x^{13} + \frac{5}{13} \, A a b^{4} x^{13} + B a^{3} b^{2} x^{10} + A a^{2} b^{3} x^{10} + \frac{5}{7} \, B a^{4} b x^{7} + \frac{10}{7} \, A a^{3} b^{2} x^{7} + \frac{1}{4} \, B a^{5} x^{4} + \frac{5}{4} \, A a^{4} b x^{4} + A a^{5} x"," ",0,"1/19*B*b^5*x^19 + 5/16*B*a*b^4*x^16 + 1/16*A*b^5*x^16 + 10/13*B*a^2*b^3*x^13 + 5/13*A*a*b^4*x^13 + B*a^3*b^2*x^10 + A*a^2*b^3*x^10 + 5/7*B*a^4*b*x^7 + 10/7*A*a^3*b^2*x^7 + 1/4*B*a^5*x^4 + 5/4*A*a^4*b*x^4 + A*a^5*x","A",0
33,1,124,0,0.155121," ","integrate((b*x^3+a)^5*(B*x^3+A)/x,x, algorithm=""giac"")","\frac{1}{18} \, B b^{5} x^{18} + \frac{1}{3} \, B a b^{4} x^{15} + \frac{1}{15} \, A b^{5} x^{15} + \frac{5}{6} \, B a^{2} b^{3} x^{12} + \frac{5}{12} \, A a b^{4} x^{12} + \frac{10}{9} \, B a^{3} b^{2} x^{9} + \frac{10}{9} \, A a^{2} b^{3} x^{9} + \frac{5}{6} \, B a^{4} b x^{6} + \frac{5}{3} \, A a^{3} b^{2} x^{6} + \frac{1}{3} \, B a^{5} x^{3} + \frac{5}{3} \, A a^{4} b x^{3} + A a^{5} \log\left({\left| x \right|}\right)"," ",0,"1/18*B*b^5*x^18 + 1/3*B*a*b^4*x^15 + 1/15*A*b^5*x^15 + 5/6*B*a^2*b^3*x^12 + 5/12*A*a*b^4*x^12 + 10/9*B*a^3*b^2*x^9 + 10/9*A*a^2*b^3*x^9 + 5/6*B*a^4*b*x^6 + 5/3*A*a^3*b^2*x^6 + 1/3*B*a^5*x^3 + 5/3*A*a^4*b*x^3 + A*a^5*log(abs(x))","A",0
34,1,124,0,0.151399," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^2,x, algorithm=""giac"")","\frac{1}{17} \, B b^{5} x^{17} + \frac{5}{14} \, B a b^{4} x^{14} + \frac{1}{14} \, A b^{5} x^{14} + \frac{10}{11} \, B a^{2} b^{3} x^{11} + \frac{5}{11} \, A a b^{4} x^{11} + \frac{5}{4} \, B a^{3} b^{2} x^{8} + \frac{5}{4} \, A a^{2} b^{3} x^{8} + B a^{4} b x^{5} + 2 \, A a^{3} b^{2} x^{5} + \frac{1}{2} \, B a^{5} x^{2} + \frac{5}{2} \, A a^{4} b x^{2} - \frac{A a^{5}}{x}"," ",0,"1/17*B*b^5*x^17 + 5/14*B*a*b^4*x^14 + 1/14*A*b^5*x^14 + 10/11*B*a^2*b^3*x^11 + 5/11*A*a*b^4*x^11 + 5/4*B*a^3*b^2*x^8 + 5/4*A*a^2*b^3*x^8 + B*a^4*b*x^5 + 2*A*a^3*b^2*x^5 + 1/2*B*a^5*x^2 + 5/2*A*a^4*b*x^2 - A*a^5/x","A",0
35,1,119,0,0.155363," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^3,x, algorithm=""giac"")","\frac{1}{16} \, B b^{5} x^{16} + \frac{5}{13} \, B a b^{4} x^{13} + \frac{1}{13} \, A b^{5} x^{13} + B a^{2} b^{3} x^{10} + \frac{1}{2} \, A a b^{4} x^{10} + \frac{10}{7} \, B a^{3} b^{2} x^{7} + \frac{10}{7} \, A a^{2} b^{3} x^{7} + \frac{5}{4} \, B a^{4} b x^{4} + \frac{5}{2} \, A a^{3} b^{2} x^{4} + B a^{5} x + 5 \, A a^{4} b x - \frac{A a^{5}}{2 \, x^{2}}"," ",0,"1/16*B*b^5*x^16 + 5/13*B*a*b^4*x^13 + 1/13*A*b^5*x^13 + B*a^2*b^3*x^10 + 1/2*A*a*b^4*x^10 + 10/7*B*a^3*b^2*x^7 + 10/7*A*a^2*b^3*x^7 + 5/4*B*a^4*b*x^4 + 5/2*A*a^3*b^2*x^4 + B*a^5*x + 5*A*a^4*b*x - 1/2*A*a^5/x^2","A",0
36,1,143,0,0.158213," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^4,x, algorithm=""giac"")","\frac{1}{15} \, B b^{5} x^{15} + \frac{5}{12} \, B a b^{4} x^{12} + \frac{1}{12} \, A b^{5} x^{12} + \frac{10}{9} \, B a^{2} b^{3} x^{9} + \frac{5}{9} \, A a b^{4} x^{9} + \frac{5}{3} \, B a^{3} b^{2} x^{6} + \frac{5}{3} \, A a^{2} b^{3} x^{6} + \frac{5}{3} \, B a^{4} b x^{3} + \frac{10}{3} \, A a^{3} b^{2} x^{3} + {\left(B a^{5} + 5 \, A a^{4} b\right)} \log\left({\left| x \right|}\right) - \frac{B a^{5} x^{3} + 5 \, A a^{4} b x^{3} + A a^{5}}{3 \, x^{3}}"," ",0,"1/15*B*b^5*x^15 + 5/12*B*a*b^4*x^12 + 1/12*A*b^5*x^12 + 10/9*B*a^2*b^3*x^9 + 5/9*A*a*b^4*x^9 + 5/3*B*a^3*b^2*x^6 + 5/3*A*a^2*b^3*x^6 + 5/3*B*a^4*b*x^3 + 10/3*A*a^3*b^2*x^3 + (B*a^5 + 5*A*a^4*b)*log(abs(x)) - 1/3*(B*a^5*x^3 + 5*A*a^4*b*x^3 + A*a^5)/x^3","A",0
37,1,127,0,0.157341," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^5,x, algorithm=""giac"")","\frac{1}{14} \, B b^{5} x^{14} + \frac{5}{11} \, B a b^{4} x^{11} + \frac{1}{11} \, A b^{5} x^{11} + \frac{5}{4} \, B a^{2} b^{3} x^{8} + \frac{5}{8} \, A a b^{4} x^{8} + 2 \, B a^{3} b^{2} x^{5} + 2 \, A a^{2} b^{3} x^{5} + \frac{5}{2} \, B a^{4} b x^{2} + 5 \, A a^{3} b^{2} x^{2} - \frac{4 \, B a^{5} x^{3} + 20 \, A a^{4} b x^{3} + A a^{5}}{4 \, x^{4}}"," ",0,"1/14*B*b^5*x^14 + 5/11*B*a*b^4*x^11 + 1/11*A*b^5*x^11 + 5/4*B*a^2*b^3*x^8 + 5/8*A*a*b^4*x^8 + 2*B*a^3*b^2*x^5 + 2*A*a^2*b^3*x^5 + 5/2*B*a^4*b*x^2 + 5*A*a^3*b^2*x^2 - 1/4*(4*B*a^5*x^3 + 20*A*a^4*b*x^3 + A*a^5)/x^4","A",0
38,1,124,0,0.179065," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^6,x, algorithm=""giac"")","\frac{1}{13} \, B b^{5} x^{13} + \frac{1}{2} \, B a b^{4} x^{10} + \frac{1}{10} \, A b^{5} x^{10} + \frac{10}{7} \, B a^{2} b^{3} x^{7} + \frac{5}{7} \, A a b^{4} x^{7} + \frac{5}{2} \, B a^{3} b^{2} x^{4} + \frac{5}{2} \, A a^{2} b^{3} x^{4} + 5 \, B a^{4} b x + 10 \, A a^{3} b^{2} x - \frac{5 \, B a^{5} x^{3} + 25 \, A a^{4} b x^{3} + 2 \, A a^{5}}{10 \, x^{5}}"," ",0,"1/13*B*b^5*x^13 + 1/2*B*a*b^4*x^10 + 1/10*A*b^5*x^10 + 10/7*B*a^2*b^3*x^7 + 5/7*A*a*b^4*x^7 + 5/2*B*a^3*b^2*x^4 + 5/2*A*a^2*b^3*x^4 + 5*B*a^4*b*x + 10*A*a^3*b^2*x - 1/10*(5*B*a^5*x^3 + 25*A*a^4*b*x^3 + 2*A*a^5)/x^5","A",0
39,1,148,0,0.155914," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^7,x, algorithm=""giac"")","\frac{1}{12} \, B b^{5} x^{12} + \frac{5}{9} \, B a b^{4} x^{9} + \frac{1}{9} \, A b^{5} x^{9} + \frac{5}{3} \, B a^{2} b^{3} x^{6} + \frac{5}{6} \, A a b^{4} x^{6} + \frac{10}{3} \, B a^{3} b^{2} x^{3} + \frac{10}{3} \, A a^{2} b^{3} x^{3} + 5 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} \log\left({\left| x \right|}\right) - \frac{15 \, B a^{4} b x^{6} + 30 \, A a^{3} b^{2} x^{6} + 2 \, B a^{5} x^{3} + 10 \, A a^{4} b x^{3} + A a^{5}}{6 \, x^{6}}"," ",0,"1/12*B*b^5*x^12 + 5/9*B*a*b^4*x^9 + 1/9*A*b^5*x^9 + 5/3*B*a^2*b^3*x^6 + 5/6*A*a*b^4*x^6 + 10/3*B*a^3*b^2*x^3 + 10/3*A*a^2*b^3*x^3 + 5*(B*a^4*b + 2*A*a^3*b^2)*log(abs(x)) - 1/6*(15*B*a^4*b*x^6 + 30*A*a^3*b^2*x^6 + 2*B*a^5*x^3 + 10*A*a^4*b*x^3 + A*a^5)/x^6","A",0
40,1,127,0,0.173402," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^8,x, algorithm=""giac"")","\frac{1}{11} \, B b^{5} x^{11} + \frac{5}{8} \, B a b^{4} x^{8} + \frac{1}{8} \, A b^{5} x^{8} + 2 \, B a^{2} b^{3} x^{5} + A a b^{4} x^{5} + 5 \, B a^{3} b^{2} x^{2} + 5 \, A a^{2} b^{3} x^{2} - \frac{140 \, B a^{4} b x^{6} + 280 \, A a^{3} b^{2} x^{6} + 7 \, B a^{5} x^{3} + 35 \, A a^{4} b x^{3} + 4 \, A a^{5}}{28 \, x^{7}}"," ",0,"1/11*B*b^5*x^11 + 5/8*B*a*b^4*x^8 + 1/8*A*b^5*x^8 + 2*B*a^2*b^3*x^5 + A*a*b^4*x^5 + 5*B*a^3*b^2*x^2 + 5*A*a^2*b^3*x^2 - 1/28*(140*B*a^4*b*x^6 + 280*A*a^3*b^2*x^6 + 7*B*a^5*x^3 + 35*A*a^4*b*x^3 + 4*A*a^5)/x^7","A",0
41,1,124,0,0.161755," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^9,x, algorithm=""giac"")","\frac{1}{10} \, B b^{5} x^{10} + \frac{5}{7} \, B a b^{4} x^{7} + \frac{1}{7} \, A b^{5} x^{7} + \frac{5}{2} \, B a^{2} b^{3} x^{4} + \frac{5}{4} \, A a b^{4} x^{4} + 10 \, B a^{3} b^{2} x + 10 \, A a^{2} b^{3} x - \frac{100 \, B a^{4} b x^{6} + 200 \, A a^{3} b^{2} x^{6} + 8 \, B a^{5} x^{3} + 40 \, A a^{4} b x^{3} + 5 \, A a^{5}}{40 \, x^{8}}"," ",0,"1/10*B*b^5*x^10 + 5/7*B*a*b^4*x^7 + 1/7*A*b^5*x^7 + 5/2*B*a^2*b^3*x^4 + 5/4*A*a*b^4*x^4 + 10*B*a^3*b^2*x + 10*A*a^2*b^3*x - 1/40*(100*B*a^4*b*x^6 + 200*A*a^3*b^2*x^6 + 8*B*a^5*x^3 + 40*A*a^4*b*x^3 + 5*A*a^5)/x^8","A",0
42,1,150,0,0.153806," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^10,x, algorithm=""giac"")","\frac{1}{9} \, B b^{5} x^{9} + \frac{5}{6} \, B a b^{4} x^{6} + \frac{1}{6} \, A b^{5} x^{6} + \frac{10}{3} \, B a^{2} b^{3} x^{3} + \frac{5}{3} \, A a b^{4} x^{3} + 10 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} \log\left({\left| x \right|}\right) - \frac{110 \, B a^{3} b^{2} x^{9} + 110 \, A a^{2} b^{3} x^{9} + 30 \, B a^{4} b x^{6} + 60 \, A a^{3} b^{2} x^{6} + 3 \, B a^{5} x^{3} + 15 \, A a^{4} b x^{3} + 2 \, A a^{5}}{18 \, x^{9}}"," ",0,"1/9*B*b^5*x^9 + 5/6*B*a*b^4*x^6 + 1/6*A*b^5*x^6 + 10/3*B*a^2*b^3*x^3 + 5/3*A*a*b^4*x^3 + 10*(B*a^3*b^2 + A*a^2*b^3)*log(abs(x)) - 1/18*(110*B*a^3*b^2*x^9 + 110*A*a^2*b^3*x^9 + 30*B*a^4*b*x^6 + 60*A*a^3*b^2*x^6 + 3*B*a^5*x^3 + 15*A*a^4*b*x^3 + 2*A*a^5)/x^9","A",0
43,1,127,0,0.153593," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^11,x, algorithm=""giac"")","\frac{1}{8} \, B b^{5} x^{8} + B a b^{4} x^{5} + \frac{1}{5} \, A b^{5} x^{5} + 5 \, B a^{2} b^{3} x^{2} + \frac{5}{2} \, A a b^{4} x^{2} - \frac{1400 \, B a^{3} b^{2} x^{9} + 1400 \, A a^{2} b^{3} x^{9} + 175 \, B a^{4} b x^{6} + 350 \, A a^{3} b^{2} x^{6} + 20 \, B a^{5} x^{3} + 100 \, A a^{4} b x^{3} + 14 \, A a^{5}}{140 \, x^{10}}"," ",0,"1/8*B*b^5*x^8 + B*a*b^4*x^5 + 1/5*A*b^5*x^5 + 5*B*a^2*b^3*x^2 + 5/2*A*a*b^4*x^2 - 1/140*(1400*B*a^3*b^2*x^9 + 1400*A*a^2*b^3*x^9 + 175*B*a^4*b*x^6 + 350*A*a^3*b^2*x^6 + 20*B*a^5*x^3 + 100*A*a^4*b*x^3 + 14*A*a^5)/x^10","A",0
44,1,124,0,0.182889," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^12,x, algorithm=""giac"")","\frac{1}{7} \, B b^{5} x^{7} + \frac{5}{4} \, B a b^{4} x^{4} + \frac{1}{4} \, A b^{5} x^{4} + 10 \, B a^{2} b^{3} x + 5 \, A a b^{4} x - \frac{440 \, B a^{3} b^{2} x^{9} + 440 \, A a^{2} b^{3} x^{9} + 88 \, B a^{4} b x^{6} + 176 \, A a^{3} b^{2} x^{6} + 11 \, B a^{5} x^{3} + 55 \, A a^{4} b x^{3} + 8 \, A a^{5}}{88 \, x^{11}}"," ",0,"1/7*B*b^5*x^7 + 5/4*B*a*b^4*x^4 + 1/4*A*b^5*x^4 + 10*B*a^2*b^3*x + 5*A*a*b^4*x - 1/88*(440*B*a^3*b^2*x^9 + 440*A*a^2*b^3*x^9 + 88*B*a^4*b*x^6 + 176*A*a^3*b^2*x^6 + 11*B*a^5*x^3 + 55*A*a^4*b*x^3 + 8*A*a^5)/x^11","A",0
45,1,149,0,0.157190," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^13,x, algorithm=""giac"")","\frac{1}{6} \, B b^{5} x^{6} + \frac{5}{3} \, B a b^{4} x^{3} + \frac{1}{3} \, A b^{5} x^{3} + 5 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} \log\left({\left| x \right|}\right) - \frac{250 \, B a^{2} b^{3} x^{12} + 125 \, A a b^{4} x^{12} + 120 \, B a^{3} b^{2} x^{9} + 120 \, A a^{2} b^{3} x^{9} + 30 \, B a^{4} b x^{6} + 60 \, A a^{3} b^{2} x^{6} + 4 \, B a^{5} x^{3} + 20 \, A a^{4} b x^{3} + 3 \, A a^{5}}{36 \, x^{12}}"," ",0,"1/6*B*b^5*x^6 + 5/3*B*a*b^4*x^3 + 1/3*A*b^5*x^3 + 5*(2*B*a^2*b^3 + A*a*b^4)*log(abs(x)) - 1/36*(250*B*a^2*b^3*x^12 + 125*A*a*b^4*x^12 + 120*B*a^3*b^2*x^9 + 120*A*a^2*b^3*x^9 + 30*B*a^4*b*x^6 + 60*A*a^3*b^2*x^6 + 4*B*a^5*x^3 + 20*A*a^4*b*x^3 + 3*A*a^5)/x^12","A",0
46,1,128,0,0.158573," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^14,x, algorithm=""giac"")","\frac{1}{5} \, B b^{5} x^{5} + \frac{5}{2} \, B a b^{4} x^{2} + \frac{1}{2} \, A b^{5} x^{2} - \frac{9100 \, B a^{2} b^{3} x^{12} + 4550 \, A a b^{4} x^{12} + 2275 \, B a^{3} b^{2} x^{9} + 2275 \, A a^{2} b^{3} x^{9} + 650 \, B a^{4} b x^{6} + 1300 \, A a^{3} b^{2} x^{6} + 91 \, B a^{5} x^{3} + 455 \, A a^{4} b x^{3} + 70 \, A a^{5}}{910 \, x^{13}}"," ",0,"1/5*B*b^5*x^5 + 5/2*B*a*b^4*x^2 + 1/2*A*b^5*x^2 - 1/910*(9100*B*a^2*b^3*x^12 + 4550*A*a*b^4*x^12 + 2275*B*a^3*b^2*x^9 + 2275*A*a^2*b^3*x^9 + 650*B*a^4*b*x^6 + 1300*A*a^3*b^2*x^6 + 91*B*a^5*x^3 + 455*A*a^4*b*x^3 + 70*A*a^5)/x^13","A",0
47,1,123,0,0.162916," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^15,x, algorithm=""giac"")","\frac{1}{4} \, B b^{5} x^{4} + 5 \, B a b^{4} x + A b^{5} x - \frac{3080 \, B a^{2} b^{3} x^{12} + 1540 \, A a b^{4} x^{12} + 1232 \, B a^{3} b^{2} x^{9} + 1232 \, A a^{2} b^{3} x^{9} + 385 \, B a^{4} b x^{6} + 770 \, A a^{3} b^{2} x^{6} + 56 \, B a^{5} x^{3} + 280 \, A a^{4} b x^{3} + 44 \, A a^{5}}{616 \, x^{14}}"," ",0,"1/4*B*b^5*x^4 + 5*B*a*b^4*x + A*b^5*x - 1/616*(3080*B*a^2*b^3*x^12 + 1540*A*a*b^4*x^12 + 1232*B*a^3*b^2*x^9 + 1232*A*a^2*b^3*x^9 + 385*B*a^4*b*x^6 + 770*A*a^3*b^2*x^6 + 56*B*a^5*x^3 + 280*A*a^4*b*x^3 + 44*A*a^5)/x^14","A",0
48,1,145,0,0.154639," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^16,x, algorithm=""giac"")","\frac{1}{3} \, B b^{5} x^{3} + {\left(5 \, B a b^{4} + A b^{5}\right)} \log\left({\left| x \right|}\right) - \frac{685 \, B a b^{4} x^{15} + 137 \, A b^{5} x^{15} + 600 \, B a^{2} b^{3} x^{12} + 300 \, A a b^{4} x^{12} + 300 \, B a^{3} b^{2} x^{9} + 300 \, A a^{2} b^{3} x^{9} + 100 \, B a^{4} b x^{6} + 200 \, A a^{3} b^{2} x^{6} + 15 \, B a^{5} x^{3} + 75 \, A a^{4} b x^{3} + 12 \, A a^{5}}{180 \, x^{15}}"," ",0,"1/3*B*b^5*x^3 + (5*B*a*b^4 + A*b^5)*log(abs(x)) - 1/180*(685*B*a*b^4*x^15 + 137*A*b^5*x^15 + 600*B*a^2*b^3*x^12 + 300*A*a*b^4*x^12 + 300*B*a^3*b^2*x^9 + 300*A*a^2*b^3*x^9 + 100*B*a^4*b*x^6 + 200*A*a^3*b^2*x^6 + 15*B*a^5*x^3 + 75*A*a^4*b*x^3 + 12*A*a^5)/x^15","A",0
49,1,128,0,0.159994," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^17,x, algorithm=""giac"")","\frac{1}{2} \, B b^{5} x^{2} - \frac{7280 \, B a b^{4} x^{15} + 1456 \, A b^{5} x^{15} + 3640 \, B a^{2} b^{3} x^{12} + 1820 \, A a b^{4} x^{12} + 2080 \, B a^{3} b^{2} x^{9} + 2080 \, A a^{2} b^{3} x^{9} + 728 \, B a^{4} b x^{6} + 1456 \, A a^{3} b^{2} x^{6} + 112 \, B a^{5} x^{3} + 560 \, A a^{4} b x^{3} + 91 \, A a^{5}}{1456 \, x^{16}}"," ",0,"1/2*B*b^5*x^2 - 1/1456*(7280*B*a*b^4*x^15 + 1456*A*b^5*x^15 + 3640*B*a^2*b^3*x^12 + 1820*A*a*b^4*x^12 + 2080*B*a^3*b^2*x^9 + 2080*A*a^2*b^3*x^9 + 728*B*a^4*b*x^6 + 1456*A*a^3*b^2*x^6 + 112*B*a^5*x^3 + 560*A*a^4*b*x^3 + 91*A*a^5)/x^16","A",0
50,1,125,0,0.170601," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^18,x, algorithm=""giac"")","B b^{5} x - \frac{13090 \, B a b^{4} x^{15} + 2618 \, A b^{5} x^{15} + 10472 \, B a^{2} b^{3} x^{12} + 5236 \, A a b^{4} x^{12} + 6545 \, B a^{3} b^{2} x^{9} + 6545 \, A a^{2} b^{3} x^{9} + 2380 \, B a^{4} b x^{6} + 4760 \, A a^{3} b^{2} x^{6} + 374 \, B a^{5} x^{3} + 1870 \, A a^{4} b x^{3} + 308 \, A a^{5}}{5236 \, x^{17}}"," ",0,"B*b^5*x - 1/5236*(13090*B*a*b^4*x^15 + 2618*A*b^5*x^15 + 10472*B*a^2*b^3*x^12 + 5236*A*a*b^4*x^12 + 6545*B*a^3*b^2*x^9 + 6545*A*a^2*b^3*x^9 + 2380*B*a^4*b*x^6 + 4760*A*a^3*b^2*x^6 + 374*B*a^5*x^3 + 1870*A*a^4*b*x^3 + 308*A*a^5)/x^17","A",0
51,1,136,0,0.158301," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^19,x, algorithm=""giac"")","B b^{5} \log\left({\left| x \right|}\right) - \frac{147 \, B b^{5} x^{18} + 300 \, B a b^{4} x^{15} + 60 \, A b^{5} x^{15} + 300 \, B a^{2} b^{3} x^{12} + 150 \, A a b^{4} x^{12} + 200 \, B a^{3} b^{2} x^{9} + 200 \, A a^{2} b^{3} x^{9} + 75 \, B a^{4} b x^{6} + 150 \, A a^{3} b^{2} x^{6} + 12 \, B a^{5} x^{3} + 60 \, A a^{4} b x^{3} + 10 \, A a^{5}}{180 \, x^{18}}"," ",0,"B*b^5*log(abs(x)) - 1/180*(147*B*b^5*x^18 + 300*B*a*b^4*x^15 + 60*A*b^5*x^15 + 300*B*a^2*b^3*x^12 + 150*A*a*b^4*x^12 + 200*B*a^3*b^2*x^9 + 200*A*a^2*b^3*x^9 + 75*B*a^4*b*x^6 + 150*A*a^3*b^2*x^6 + 12*B*a^5*x^3 + 60*A*a^4*b*x^3 + 10*A*a^5)/x^18","A",0
52,1,127,0,0.153353," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^20,x, algorithm=""giac"")","-\frac{27664 \, B b^{5} x^{18} + 34580 \, B a b^{4} x^{15} + 6916 \, A b^{5} x^{15} + 39520 \, B a^{2} b^{3} x^{12} + 19760 \, A a b^{4} x^{12} + 27664 \, B a^{3} b^{2} x^{9} + 27664 \, A a^{2} b^{3} x^{9} + 10640 \, B a^{4} b x^{6} + 21280 \, A a^{3} b^{2} x^{6} + 1729 \, B a^{5} x^{3} + 8645 \, A a^{4} b x^{3} + 1456 \, A a^{5}}{27664 \, x^{19}}"," ",0,"-1/27664*(27664*B*b^5*x^18 + 34580*B*a*b^4*x^15 + 6916*A*b^5*x^15 + 39520*B*a^2*b^3*x^12 + 19760*A*a*b^4*x^12 + 27664*B*a^3*b^2*x^9 + 27664*A*a^2*b^3*x^9 + 10640*B*a^4*b*x^6 + 21280*A*a^3*b^2*x^6 + 1729*B*a^5*x^3 + 8645*A*a^4*b*x^3 + 1456*A*a^5)/x^19","A",0
53,1,127,0,0.153225," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^21,x, algorithm=""giac"")","-\frac{26180 \, B b^{5} x^{18} + 52360 \, B a b^{4} x^{15} + 10472 \, A b^{5} x^{15} + 65450 \, B a^{2} b^{3} x^{12} + 32725 \, A a b^{4} x^{12} + 47600 \, B a^{3} b^{2} x^{9} + 47600 \, A a^{2} b^{3} x^{9} + 18700 \, B a^{4} b x^{6} + 37400 \, A a^{3} b^{2} x^{6} + 3080 \, B a^{5} x^{3} + 15400 \, A a^{4} b x^{3} + 2618 \, A a^{5}}{52360 \, x^{20}}"," ",0,"-1/52360*(26180*B*b^5*x^18 + 52360*B*a*b^4*x^15 + 10472*A*b^5*x^15 + 65450*B*a^2*b^3*x^12 + 32725*A*a*b^4*x^12 + 47600*B*a^3*b^2*x^9 + 47600*A*a^2*b^3*x^9 + 18700*B*a^4*b*x^6 + 37400*A*a^3*b^2*x^6 + 3080*B*a^5*x^3 + 15400*A*a^4*b*x^3 + 2618*A*a^5)/x^20","A",0
54,1,127,0,0.183335," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^22,x, algorithm=""giac"")","-\frac{42 \, B b^{5} x^{18} + 105 \, B a b^{4} x^{15} + 21 \, A b^{5} x^{15} + 140 \, B a^{2} b^{3} x^{12} + 70 \, A a b^{4} x^{12} + 105 \, B a^{3} b^{2} x^{9} + 105 \, A a^{2} b^{3} x^{9} + 42 \, B a^{4} b x^{6} + 84 \, A a^{3} b^{2} x^{6} + 7 \, B a^{5} x^{3} + 35 \, A a^{4} b x^{3} + 6 \, A a^{5}}{126 \, x^{21}}"," ",0,"-1/126*(42*B*b^5*x^18 + 105*B*a*b^4*x^15 + 21*A*b^5*x^15 + 140*B*a^2*b^3*x^12 + 70*A*a*b^4*x^12 + 105*B*a^3*b^2*x^9 + 105*A*a^2*b^3*x^9 + 42*B*a^4*b*x^6 + 84*A*a^3*b^2*x^6 + 7*B*a^5*x^3 + 35*A*a^4*b*x^3 + 6*A*a^5)/x^21","B",0
55,1,127,0,0.164717," ","integrate((b*x^3+a)^5*(B*x^3+A)/x^23,x, algorithm=""giac"")","-\frac{76076 \, B b^{5} x^{18} + 217360 \, B a b^{4} x^{15} + 43472 \, A b^{5} x^{15} + 304304 \, B a^{2} b^{3} x^{12} + 152152 \, A a b^{4} x^{12} + 234080 \, B a^{3} b^{2} x^{9} + 234080 \, A a^{2} b^{3} x^{9} + 95095 \, B a^{4} b x^{6} + 190190 \, A a^{3} b^{2} x^{6} + 16016 \, B a^{5} x^{3} + 80080 \, A a^{4} b x^{3} + 13832 \, A a^{5}}{304304 \, x^{22}}"," ",0,"-1/304304*(76076*B*b^5*x^18 + 217360*B*a*b^4*x^15 + 43472*A*b^5*x^15 + 304304*B*a^2*b^3*x^12 + 152152*A*a*b^4*x^12 + 234080*B*a^3*b^2*x^9 + 234080*A*a^2*b^3*x^9 + 95095*B*a^4*b*x^6 + 190190*A*a^3*b^2*x^6 + 16016*B*a^5*x^3 + 80080*A*a^4*b*x^3 + 13832*A*a^5)/x^22","A",0
56,1,217,0,0.237477," ","integrate(x^6*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","-\frac{\sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a^{2} - \left(-a b^{2}\right)^{\frac{1}{3}} 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^{4}} - \frac{{\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a^{2} - \left(-a b^{2}\right)^{\frac{1}{3}} 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^{4}} + \frac{{\left(B a^{3} b^{4} - A a^{2} b^{5}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a b^{7}} + \frac{4 \, B b^{6} x^{7} - 7 \, B a b^{5} x^{4} + 7 \, A b^{6} x^{4} + 28 \, B a^{2} b^{4} x - 28 \, A a b^{5} x}{28 \, b^{7}}"," ",0,"-1/3*sqrt(3)*((-a*b^2)^(1/3)*B*a^2 - (-a*b^2)^(1/3)*A*a*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^4 - 1/6*((-a*b^2)^(1/3)*B*a^2 - (-a*b^2)^(1/3)*A*a*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^4 + 1/3*(B*a^3*b^4 - A*a^2*b^5)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^7) + 1/28*(4*B*b^6*x^7 - 7*B*a*b^5*x^4 + 7*A*b^6*x^4 + 28*B*a^2*b^4*x - 28*A*a*b^5*x)/b^7","A",0
57,1,52,0,0.170261," ","integrate(x^5*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\frac{B b x^{6} - 2 \, B a x^{3} + 2 \, A b x^{3}}{6 \, b^{2}} + \frac{{\left(B a^{2} - A a b\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, b^{3}}"," ",0,"1/6*(B*b*x^6 - 2*B*a*x^3 + 2*A*b*x^3)/b^2 + 1/3*(B*a^2 - A*a*b)*log(abs(b*x^3 + a))/b^3","A",0
58,1,207,0,0.185817," ","integrate(x^4*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","-\frac{\sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{2}{3}} B a - \left(-a b^{2}\right)^{\frac{2}{3}} 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^{4}} + \frac{{\left(\left(-a b^{2}\right)^{\frac{2}{3}} B a - \left(-a b^{2}\right)^{\frac{2}{3}} 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^{4}} - \frac{{\left(B a^{2} b^{3} \left(-\frac{a}{b}\right)^{\frac{1}{3}} - A a b^{4} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a b^{5}} + \frac{2 \, B b^{4} x^{5} - 5 \, B a b^{3} x^{2} + 5 \, A b^{4} x^{2}}{10 \, b^{5}}"," ",0,"-1/3*sqrt(3)*((-a*b^2)^(2/3)*B*a - (-a*b^2)^(2/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^4 + 1/6*((-a*b^2)^(2/3)*B*a - (-a*b^2)^(2/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^4 - 1/3*(B*a^2*b^3*(-a/b)^(1/3) - A*a*b^4*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^5) + 1/10*(2*B*b^4*x^5 - 5*B*a*b^3*x^2 + 5*A*b^4*x^2)/b^5","A",0
59,1,186,0,0.169815," ","integrate(x^3*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\frac{\sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - \left(-a b^{2}\right)^{\frac{1}{3}} 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}} + \frac{{\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - \left(-a b^{2}\right)^{\frac{1}{3}} 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}} - \frac{{\left(B a^{2} b^{2} - A a b^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a b^{4}} + \frac{B b^{3} x^{4} - 4 \, B a b^{2} x + 4 \, A b^{3} x}{4 \, b^{4}}"," ",0,"1/3*sqrt(3)*((-a*b^2)^(1/3)*B*a - (-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^3 + 1/6*((-a*b^2)^(1/3)*B*a - (-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^3 - 1/3*(B*a^2*b^2 - A*a*b^3)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^4) + 1/4*(B*b^3*x^4 - 4*B*a*b^2*x + 4*A*b^3*x)/b^4","A",0
60,1,32,0,0.217297," ","integrate(x^2*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\frac{B x^{3}}{3 \, b} - \frac{{\left(B a - A b\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, b^{2}}"," ",0,"1/3*B*x^3/b - 1/3*(B*a - A*b)*log(abs(b*x^3 + a))/b^2","A",0
61,1,161,0,0.189179," ","integrate(x*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} b} + \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 \, \left(-a b^{2}\right)^{\frac{1}{3}} b} + \frac{{\left(B a b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - A b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a b^{2}}"," ",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))/((-a*b^2)^(1/3)*b) + 1/6*(B*a - A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*b) + 1/3*(B*a*b*(-a/b)^(1/3) - A*b^2*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^2)","A",0
62,1,133,0,0.175980," ","integrate((B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\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 \, \left(-a b^{2}\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 \, \left(-a b^{2}\right)^{\frac{2}{3}}} + \frac{B x}{b} + \frac{{\left(B a - A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a b}"," ",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^2)^(2/3) + 1/6*(B*a - A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(-a*b^2)^(2/3) + B*x/b + 1/3*(B*a - A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b)","A",0
63,1,34,0,0.192739," ","integrate((B*x^3+A)/x/(b*x^3+a),x, algorithm=""giac"")","\frac{A \log\left({\left| x \right|}\right)}{a} + \frac{{\left(B a - A b\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a b}"," ",0,"A*log(abs(x))/a + 1/3*(B*a - A*b)*log(abs(b*x^3 + a))/(a*b)","A",0
64,1,155,0,0.223452," ","integrate((B*x^3+A)/x^2/(b*x^3+a),x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a} - \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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a} - \frac{{\left(B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} - A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{2}} - \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^2)^(1/3)*a) - 1/6*(B*a - A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*a) - 1/3*(B*a*(-a/b)^(1/3) - A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^2 - A/(a*x)","A",0
65,1,161,0,0.175759," ","integrate((B*x^3+A)/x^3/(b*x^3+a),x, algorithm=""giac"")","-\frac{{\left(B a - A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{2}} + \frac{\sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - \left(-a b^{2}\right)^{\frac{1}{3}} 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} b} + \frac{{\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - \left(-a b^{2}\right)^{\frac{1}{3}} 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} b} - \frac{A}{2 \, a x^{2}}"," ",0,"-1/3*(B*a - A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^2 + 1/3*sqrt(3)*((-a*b^2)^(1/3)*B*a - (-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^2*b) + 1/6*((-a*b^2)^(1/3)*B*a - (-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b) - 1/2*A/(a*x^2)","A",0
66,1,69,0,0.165493," ","integrate((B*x^3+A)/x^4/(b*x^3+a),x, algorithm=""giac"")","\frac{{\left(B a - A b\right)} \log\left({\left| x \right|}\right)}{a^{2}} - \frac{{\left(B a b - A b^{2}\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a^{2} b} - \frac{B a x^{3} - A b x^{3} + A a}{3 \, a^{2} x^{3}}"," ",0,"(B*a - A*b)*log(abs(x))/a^2 - 1/3*(B*a*b - A*b^2)*log(abs(b*x^3 + a))/(a^2*b) - 1/3*(B*a*x^3 - A*b*x^3 + A*a)/(a^2*x^3)","A",0
67,1,197,0,0.224736," ","integrate((B*x^3+A)/x^5/(b*x^3+a),x, algorithm=""giac"")","\frac{{\left(B a b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - A b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{3}} + \frac{\sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{2}{3}} B a - \left(-a b^{2}\right)^{\frac{2}{3}} 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^{3} b} - \frac{{\left(\left(-a b^{2}\right)^{\frac{2}{3}} B a - \left(-a b^{2}\right)^{\frac{2}{3}} 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^{3} b} - \frac{4 \, B a x^{3} - 4 \, A b x^{3} + A a}{4 \, a^{2} x^{4}}"," ",0,"1/3*(B*a*b*(-a/b)^(1/3) - A*b^2*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^3 + 1/3*sqrt(3)*((-a*b^2)^(2/3)*B*a - (-a*b^2)^(2/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^3*b) - 1/6*((-a*b^2)^(2/3)*B*a - (-a*b^2)^(2/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^3*b) - 1/4*(4*B*a*x^3 - 4*A*b*x^3 + A*a)/(a^2*x^4)","A",0
68,1,176,0,0.175971," ","integrate((B*x^3+A)/x^6/(b*x^3+a),x, algorithm=""giac"")","-\frac{\sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - \left(-a b^{2}\right)^{\frac{1}{3}} 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^{3}} + \frac{{\left(B a b - A b^{2}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{3}} - \frac{{\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - \left(-a b^{2}\right)^{\frac{1}{3}} 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^{3}} - \frac{5 \, B a x^{3} - 5 \, A b x^{3} + 2 \, A a}{10 \, a^{2} x^{5}}"," ",0,"-1/3*sqrt(3)*((-a*b^2)^(1/3)*B*a - (-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/a^3 + 1/3*(B*a*b - A*b^2)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^3 - 1/6*((-a*b^2)^(1/3)*B*a - (-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/a^3 - 1/10*(5*B*a*x^3 - 5*A*b*x^3 + 2*A*a)/(a^2*x^5)","A",0
69,1,99,0,0.186390," ","integrate((B*x^3+A)/x^7/(b*x^3+a),x, algorithm=""giac"")","-\frac{{\left(B a b - A b^{2}\right)} \log\left({\left| x \right|}\right)}{a^{3}} + \frac{{\left(B a b^{2} - A b^{3}\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a^{3} b} + \frac{3 \, B a b x^{6} - 3 \, A b^{2} x^{6} - 2 \, B a^{2} x^{3} + 2 \, A a b x^{3} - A a^{2}}{6 \, a^{3} x^{6}}"," ",0,"-(B*a*b - A*b^2)*log(abs(x))/a^3 + 1/3*(B*a*b^2 - A*b^3)*log(abs(b*x^3 + a))/(a^3*b) + 1/6*(3*B*a*b*x^6 - 3*A*b^2*x^6 - 2*B*a^2*x^3 + 2*A*a*b*x^3 - A*a^2)/(a^3*x^6)","A",0
70,1,216,0,0.182591," ","integrate((B*x^3+A)/x^8/(b*x^3+a),x, algorithm=""giac"")","-\frac{\sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{2}{3}} B a - \left(-a b^{2}\right)^{\frac{2}{3}} 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^{4}} - \frac{{\left(B a b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}} - A b^{3} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{4}} + \frac{{\left(\left(-a b^{2}\right)^{\frac{2}{3}} B a - \left(-a b^{2}\right)^{\frac{2}{3}} 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^{4}} + \frac{28 \, B a b x^{6} - 28 \, A b^{2} x^{6} - 7 \, B a^{2} x^{3} + 7 \, A a b x^{3} - 4 \, A a^{2}}{28 \, a^{3} x^{7}}"," ",0,"-1/3*sqrt(3)*((-a*b^2)^(2/3)*B*a - (-a*b^2)^(2/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/a^4 - 1/3*(B*a*b^2*(-a/b)^(1/3) - A*b^3*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^4 + 1/6*((-a*b^2)^(2/3)*B*a - (-a*b^2)^(2/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/a^4 + 1/28*(28*B*a*b*x^6 - 28*A*b^2*x^6 - 7*B*a^2*x^3 + 7*A*a*b*x^3 - 4*A*a^2)/(a^3*x^7)","A",0
71,1,244,0,0.201288," ","integrate(x^9*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{\sqrt{3} {\left(10 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a^{2} - 7 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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^{5}} + \frac{{\left(10 \, B a^{3} - 7 \, A a^{2} b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a b^{4}} - \frac{{\left(10 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a^{2} - 7 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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^{5}} + \frac{B a^{3} x - A a^{2} b x}{3 \, {\left(b x^{3} + a\right)} b^{4}} + \frac{4 \, B b^{12} x^{7} - 14 \, B a b^{11} x^{4} + 7 \, A b^{12} x^{4} + 84 \, B a^{2} b^{10} x - 56 \, A a b^{11} x}{28 \, b^{14}}"," ",0,"-1/9*sqrt(3)*(10*(-a*b^2)^(1/3)*B*a^2 - 7*(-a*b^2)^(1/3)*A*a*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^5 + 1/9*(10*B*a^3 - 7*A*a^2*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^4) - 1/18*(10*(-a*b^2)^(1/3)*B*a^2 - 7*(-a*b^2)^(1/3)*A*a*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^5 + 1/3*(B*a^3*x - A*a^2*b*x)/((b*x^3 + a)*b^4) + 1/28*(4*B*b^12*x^7 - 14*B*a*b^11*x^4 + 7*A*b^12*x^4 + 84*B*a^2*b^10*x - 56*A*a*b^11*x)/b^14","A",0
72,1,106,0,0.183193," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{{\left(3 \, B a^{2} - 2 \, A a b\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, b^{4}} + \frac{B b^{2} x^{6} - 4 \, B a b x^{3} + 2 \, A b^{2} x^{3}}{6 \, b^{4}} - \frac{3 \, B a^{2} b x^{3} - 2 \, A a b^{2} x^{3} + 2 \, B a^{3} - A a^{2} b}{3 \, {\left(b x^{3} + a\right)} b^{4}}"," ",0,"1/3*(3*B*a^2 - 2*A*a*b)*log(abs(b*x^3 + a))/b^4 + 1/6*(B*b^2*x^6 - 4*B*a*b*x^3 + 2*A*b^2*x^3)/b^4 - 1/3*(3*B*a^2*b*x^3 - 2*A*a*b^2*x^3 + 2*B*a^3 - A*a^2*b)/((b*x^3 + a)*b^4)","A",0
73,1,236,0,0.183458," ","integrate(x^7*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{{\left(8 \, B a^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 5 \, A a b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a b^{3}} - \frac{\sqrt{3} {\left(8 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{5}} - \frac{B a^{2} x^{2} - A a b x^{2}}{3 \, {\left(b x^{3} + a\right)} b^{3}} + \frac{{\left(8 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{5}} + \frac{2 \, B b^{8} x^{5} - 10 \, B a b^{7} x^{2} + 5 \, A b^{8} x^{2}}{10 \, b^{10}}"," ",0,"-1/9*(8*B*a^2*(-a/b)^(1/3) - 5*A*a*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^3) - 1/9*sqrt(3)*(8*(-a*b^2)^(2/3)*B*a - 5*(-a*b^2)^(2/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^5 - 1/3*(B*a^2*x^2 - A*a*b*x^2)/((b*x^3 + a)*b^3) + 1/18*(8*(-a*b^2)^(2/3)*B*a - 5*(-a*b^2)^(2/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^5 + 1/10*(2*B*b^8*x^5 - 10*B*a*b^7*x^2 + 5*A*b^8*x^2)/b^10","A",0
74,1,211,0,0.179863," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{\sqrt{3} {\left(7 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 4 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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}} - \frac{{\left(7 \, B a^{2} - 4 \, A a b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a b^{3}} + \frac{{\left(7 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 4 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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}} - \frac{B a^{2} x - A a b x}{3 \, {\left(b x^{3} + a\right)} b^{3}} + \frac{B b^{6} x^{4} - 8 \, B a b^{5} x + 4 \, A b^{6} x}{4 \, b^{8}}"," ",0,"1/9*sqrt(3)*(7*(-a*b^2)^(1/3)*B*a - 4*(-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^4 - 1/9*(7*B*a^2 - 4*A*a*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^3) + 1/18*(7*(-a*b^2)^(1/3)*B*a - 4*(-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^4 - 1/3*(B*a^2*x - A*a*b*x)/((b*x^3 + a)*b^3) + 1/4*(B*b^6*x^4 - 8*B*a*b^5*x + 4*A*b^6*x)/b^8","A",0
75,1,91,0,0.181779," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{\frac{{\left(b x^{3} + a\right)} B}{b^{2}} + \frac{{\left(2 \, B a - A b\right)} \log\left(\frac{{\left| b x^{3} + a \right|}}{{\left(b x^{3} + a\right)}^{2} {\left| b \right|}}\right)}{b^{2}} - \frac{\frac{B a^{2} b}{b x^{3} + a} - \frac{A a b^{2}}{b x^{3} + a}}{b^{3}}}{3 \, b}"," ",0,"1/3*((b*x^3 + a)*B/b^2 + (2*B*a - A*b)*log(abs(b*x^3 + a)/((b*x^3 + a)^2*abs(b)))/b^2 - (B*a^2*b/(b*x^3 + a) - A*a*b^2/(b*x^3 + a))/b^3)/b","A",0
76,1,189,0,0.208100," ","integrate(x^4*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} b^{2}} + \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 \, \left(-a b^{2}\right)^{\frac{1}{3}} b^{2}} + \frac{{\left(5 \, B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 2 \, A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a b^{2}} + \frac{B a x^{2} - A b x^{2}}{3 \, {\left(b x^{3} + a\right)} b^{2}}"," ",0,"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))/((-a*b^2)^(1/3)*b^2) + 1/18*(5*B*a - 2*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*b^2) + 1/9*(5*B*a*(-a/b)^(1/3) - 2*A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^2) + 1/3*(B*a*x^2 - A*b*x^2)/((b*x^3 + a)*b^2)","A",0
77,1,166,0,0.185416," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{2}{3}} b} + \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 \, \left(-a b^{2}\right)^{\frac{2}{3}} b} + \frac{B x}{b^{2}} + \frac{{\left(4 \, B a - A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a b^{2}} + \frac{B a x - A b x}{3 \, {\left(b x^{3} + a\right)} b^{2}}"," ",0,"1/9*sqrt(3)*(4*B*a - A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/((-a*b^2)^(2/3)*b) + 1/18*(4*B*a - A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(2/3)*b) + B*x/b^2 + 1/9*(4*B*a - A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^2) + 1/3*(B*a*x - A*b*x)/((b*x^3 + a)*b^2)","A",0
78,1,65,0,0.183629," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{B {\left(\frac{\log\left(\frac{{\left| b x^{3} + a \right|}}{{\left(b x^{3} + a\right)}^{2} {\left| b \right|}}\right)}{b} - \frac{a}{{\left(b x^{3} + a\right)} b}\right)}}{3 \, b} - \frac{A}{3 \, {\left(b x^{3} + a\right)} b}"," ",0,"-1/3*B*(log(abs(b*x^3 + a)/((b*x^3 + a)^2*abs(b)))/b - a/((b*x^3 + a)*b))/b - 1/3*A/((b*x^3 + a)*b)","A",0
79,1,186,0,0.181248," ","integrate(x*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a b} - \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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a b} - \frac{{\left(2 \, B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} + A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{2} b} - \frac{B a x^{2} - A b x^{2}}{3 \, {\left(b x^{3} + a\right)} a b}"," ",0,"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)^(1/3)*a*b) - 1/18*(2*B*a + A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*a*b) - 1/9*(2*B*a*(-a/b)^(1/3) + A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^2*b) - 1/3*(B*a*x^2 - A*b*x^2)/((b*x^3 + a)*a*b)","A",0
80,1,160,0,0.177264," ","integrate((B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","-\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 \, \left(-a b^{2}\right)^{\frac{2}{3}} a} - \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 \, \left(-a b^{2}\right)^{\frac{2}{3}} a} - \frac{{\left(B a + 2 \, A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{2} b} - \frac{B a x - A b x}{3 \, {\left(b x^{3} + a\right)} a b}"," ",0,"-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)^(2/3)*a) - 1/18*(B*a + 2*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(2/3)*a) - 1/9*(B*a + 2*A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^2*b) - 1/3*(B*a*x - A*b*x)/((b*x^3 + a)*a*b)","A",0
81,1,61,0,0.213813," ","integrate((B*x^3+A)/x/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{A \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a^{2}} + \frac{A \log\left({\left| x \right|}\right)}{a^{2}} + \frac{A b^{2} x^{3} - B a^{2} + 2 \, A a b}{3 \, {\left(b x^{3} + a\right)} a^{2} b}"," ",0,"-1/3*A*log(abs(b*x^3 + a))/a^2 + A*log(abs(x))/a^2 + 1/3*(A*b^2*x^3 - B*a^2 + 2*A*a*b)/((b*x^3 + a)*a^2*b)","A",0
82,1,180,0,0.182692," ","integrate((B*x^3+A)/x^2/(b*x^3+a)^2,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a^{2}} - \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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a^{2}} - \frac{{\left(B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 4 \, A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{3}} + \frac{B a x^{3} - 4 \, A b x^{3} - 3 \, A a}{3 \, {\left(b x^{4} + a x\right)} a^{2}}"," ",0,"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*b^2)^(1/3)*a^2) - 1/18*(B*a - 4*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*a^2) - 1/9*(B*a*(-a/b)^(1/3) - 4*A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^3 + 1/3*(B*a*x^3 - 4*A*b*x^3 - 3*A*a)/((b*x^4 + a*x)*a^2)","A",0
83,1,188,0,0.174060," ","integrate((B*x^3+A)/x^3/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, B a - 5 \, A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{3}} + \frac{\sqrt{3} {\left(2 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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} b} + \frac{B a x - A b x}{3 \, {\left(b x^{3} + a\right)} a^{2}} + \frac{{\left(2 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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} b} - \frac{A}{2 \, a^{2} x^{2}}"," ",0,"-1/9*(2*B*a - 5*A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^3 + 1/9*sqrt(3)*(2*(-a*b^2)^(1/3)*B*a - 5*(-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^3*b) + 1/3*(B*a*x - A*b*x)/((b*x^3 + a)*a^2) + 1/18*(2*(-a*b^2)^(1/3)*B*a - 5*(-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^3*b) - 1/2*A/(a^2*x^2)","A",0
84,1,80,0,0.188877," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{{\left(B a - 2 \, A b\right)} \log\left({\left| x \right|}\right)}{a^{3}} + \frac{B a x^{3} - 2 \, A b x^{3} - A a}{3 \, {\left(b x^{6} + a x^{3}\right)} a^{2}} - \frac{{\left(B a b - 2 \, A b^{2}\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a^{3} b}"," ",0,"(B*a - 2*A*b)*log(abs(x))/a^3 + 1/3*(B*a*x^3 - 2*A*b*x^3 - A*a)/((b*x^6 + a*x^3)*a^2) - 1/3*(B*a*b - 2*A*b^2)*log(abs(b*x^3 + a))/(a^3*b)","A",0
85,1,231,0,0.220536," ","integrate((B*x^3+A)/x^5/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{{\left(4 \, B a b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 7 \, A b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{4}} + \frac{\sqrt{3} {\left(4 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 7 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{4} b} - \frac{B a b x^{2} - A b^{2} x^{2}}{3 \, {\left(b x^{3} + a\right)} a^{3}} - \frac{{\left(4 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 7 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{4} b} - \frac{4 \, B a x^{3} - 8 \, A b x^{3} + A a}{4 \, a^{3} x^{4}}"," ",0,"1/9*(4*B*a*b*(-a/b)^(1/3) - 7*A*b^2*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^4 + 1/9*sqrt(3)*(4*(-a*b^2)^(2/3)*B*a - 7*(-a*b^2)^(2/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^4*b) - 1/3*(B*a*b*x^2 - A*b^2*x^2)/((b*x^3 + a)*a^3) - 1/18*(4*(-a*b^2)^(2/3)*B*a - 7*(-a*b^2)^(2/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^4*b) - 1/4*(4*B*a*x^3 - 8*A*b*x^3 + A*a)/(a^3*x^4)","A",0
86,1,206,0,0.197006," ","integrate((B*x^3+A)/x^6/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{\sqrt{3} {\left(5 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 8 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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^{4}} + \frac{{\left(5 \, B a b - 8 \, A b^{2}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{4}} - \frac{{\left(5 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 8 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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^{4}} - \frac{B a b x - A b^{2} x}{3 \, {\left(b x^{3} + a\right)} a^{3}} - \frac{5 \, B a x^{3} - 10 \, A b x^{3} + 2 \, A a}{10 \, a^{3} x^{5}}"," ",0,"-1/9*sqrt(3)*(5*(-a*b^2)^(1/3)*B*a - 8*(-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/a^4 + 1/9*(5*B*a*b - 8*A*b^2)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^4 - 1/18*(5*(-a*b^2)^(1/3)*B*a - 8*(-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/a^4 - 1/3*(B*a*b*x - A*b^2*x)/((b*x^3 + a)*a^3) - 1/10*(5*B*a*x^3 - 10*A*b*x^3 + 2*A*a)/(a^3*x^5)","A",0
87,1,149,0,0.165393," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, B a b - 3 \, A b^{2}\right)} \log\left({\left| x \right|}\right)}{a^{4}} + \frac{{\left(2 \, B a b^{2} - 3 \, A b^{3}\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a^{4} b} - \frac{2 \, B a b^{2} x^{3} - 3 \, A b^{3} x^{3} + 3 \, B a^{2} b - 4 \, A a b^{2}}{3 \, {\left(b x^{3} + a\right)} a^{4}} + \frac{6 \, B a b x^{6} - 9 \, A b^{2} x^{6} - 2 \, B a^{2} x^{3} + 4 \, A a b x^{3} - A a^{2}}{6 \, a^{4} x^{6}}"," ",0,"-(2*B*a*b - 3*A*b^2)*log(abs(x))/a^4 + 1/3*(2*B*a*b^2 - 3*A*b^3)*log(abs(b*x^3 + a))/(a^4*b) - 1/3*(2*B*a*b^2*x^3 - 3*A*b^3*x^3 + 3*B*a^2*b - 4*A*a*b^2)/((b*x^3 + a)*a^4) + 1/6*(6*B*a*b*x^6 - 9*A*b^2*x^6 - 2*B*a^2*x^3 + 4*A*a*b*x^3 - A*a^2)/(a^4*x^6)","A",0
88,1,131,0,0.183151," ","integrate(x^11*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{{\left(2 \, B a^{2} - A a b\right)} \log\left({\left| b x^{3} + a \right|}\right)}{b^{5}} + \frac{B b^{3} x^{6} - 6 \, B a b^{2} x^{3} + 2 \, A b^{3} x^{3}}{6 \, b^{6}} - \frac{18 \, B a^{2} b^{2} x^{6} - 9 \, A a b^{3} x^{6} + 28 \, B a^{3} b x^{3} - 12 \, A a^{2} b^{2} x^{3} + 11 \, B a^{4} - 4 \, A a^{3} b}{6 \, {\left(b x^{3} + a\right)}^{2} b^{5}}"," ",0,"(2*B*a^2 - A*a*b)*log(abs(b*x^3 + a))/b^5 + 1/6*(B*b^3*x^6 - 6*B*a*b^2*x^3 + 2*A*b^3*x^3)/b^6 - 1/6*(18*B*a^2*b^2*x^6 - 9*A*a*b^3*x^6 + 28*B*a^3*b*x^3 - 12*A*a^2*b^2*x^3 + 11*B*a^4 - 4*A*a^3*b)/((b*x^3 + a)^2*b^5)","A",0
89,1,93,0,0.180058," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{B x^{3}}{3 \, b^{3}} - \frac{{\left(3 \, B a - A b\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, b^{4}} + \frac{9 \, B a b^{2} x^{6} - 3 \, A b^{3} x^{6} + 12 \, B a^{2} b x^{3} - 2 \, A a b^{2} x^{3} + 4 \, B a^{3}}{6 \, {\left(b x^{3} + a\right)}^{2} b^{4}}"," ",0,"1/3*B*x^3/b^3 - 1/3*(3*B*a - A*b)*log(abs(b*x^3 + a))/b^4 + 1/6*(9*B*a*b^2*x^6 - 3*A*b^3*x^6 + 12*B*a^2*b*x^3 - 2*A*a*b^2*x^3 + 4*B*a^3)/((b*x^3 + a)^2*b^4)","A",0
90,1,61,0,0.188283," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{B \log\left({\left| b x^{3} + a \right|}\right)}{3 \, b^{3}} + \frac{2 \, {\left(2 \, B a - A b\right)} x^{3} + \frac{3 \, B a^{2} - A a b}{b}}{6 \, {\left(b x^{3} + a\right)}^{2} b^{2}}"," ",0,"1/3*B*log(abs(b*x^3 + a))/b^3 + 1/6*(2*(2*B*a - A*b)*x^3 + (3*B*a^2 - A*a*b)/b)/((b*x^3 + a)^2*b^2)","A",0
91,1,28,0,0.183376," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","-\frac{2 \, B b x^{3} + B a + A b}{6 \, {\left(b x^{3} + a\right)}^{2} b^{2}}"," ",0,"-1/6*(2*B*b*x^3 + B*a + A*b)/((b*x^3 + a)^2*b^2)","A",0
92,1,74,0,0.203124," ","integrate((B*x^3+A)/x/(b*x^3+a)^3,x, algorithm=""giac"")","-\frac{A \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a^{3}} + \frac{A \log\left({\left| x \right|}\right)}{a^{3}} + \frac{3 \, A b^{3} x^{6} + 8 \, A a b^{2} x^{3} - B a^{3} + 6 \, A a^{2} b}{6 \, {\left(b x^{3} + a\right)}^{2} a^{3} b}"," ",0,"-1/3*A*log(abs(b*x^3 + a))/a^3 + A*log(abs(x))/a^3 + 1/6*(3*A*b^3*x^6 + 8*A*a*b^2*x^3 - B*a^3 + 6*A*a^2*b)/((b*x^3 + a)^2*a^3*b)","A",0
93,1,136,0,0.195003," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{{\left(B a - 3 \, A b\right)} \log\left({\left| x \right|}\right)}{a^{4}} - \frac{{\left(B a b - 3 \, A b^{2}\right)} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, a^{4} b} + \frac{3 \, B a b^{2} x^{6} - 9 \, A b^{3} x^{6} + 8 \, B a^{2} b x^{3} - 22 \, A a b^{2} x^{3} + 6 \, B a^{3} - 14 \, A a^{2} b}{6 \, {\left(b x^{3} + a\right)}^{2} a^{4}} - \frac{B a x^{3} - 3 \, A b x^{3} + A a}{3 \, a^{4} x^{3}}"," ",0,"(B*a - 3*A*b)*log(abs(x))/a^4 - 1/3*(B*a*b - 3*A*b^2)*log(abs(b*x^3 + a))/(a^4*b) + 1/6*(3*B*a*b^2*x^6 - 9*A*b^3*x^6 + 8*B*a^2*b*x^3 - 22*A*a*b^2*x^3 + 6*B*a^3 - 14*A*a^2*b)/((b*x^3 + a)^2*a^4) - 1/3*(B*a*x^3 - 3*A*b*x^3 + A*a)/(a^4*x^3)","A",0
94,1,131,0,0.200335," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(B a b - 2 \, A b^{2}\right)} \log\left({\left| x \right|}\right)}{a^{5}} + \frac{{\left(B a b^{2} - 2 \, A b^{3}\right)} \log\left({\left| b x^{3} + a \right|}\right)}{a^{5} b} - \frac{6 \, B a b^{2} x^{9} - 12 \, A b^{3} x^{9} + 9 \, B a^{2} b x^{6} - 18 \, A a b^{2} x^{6} + 2 \, B a^{3} x^{3} - 4 \, A a^{2} b x^{3} + A a^{3}}{6 \, {\left(b x^{6} + a x^{3}\right)}^{2} a^{4}}"," ",0,"-3*(B*a*b - 2*A*b^2)*log(abs(x))/a^5 + (B*a*b^2 - 2*A*b^3)*log(abs(b*x^3 + a))/(a^5*b) - 1/6*(6*B*a*b^2*x^9 - 12*A*b^3*x^9 + 9*B*a^2*b*x^6 - 18*A*a*b^2*x^6 + 2*B*a^3*x^3 - 4*A*a^2*b*x^3 + A*a^3)/((b*x^6 + a*x^3)^2*a^4)","A",0
95,1,259,0,0.330482," ","integrate(x^10*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","-\frac{4 \, {\left(11 \, B a^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 5 \, A a b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a b^{4}} - \frac{4 \, \sqrt{3} {\left(11 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{6}} + \frac{2 \, {\left(11 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{6}} - \frac{20 \, B a^{2} b x^{5} - 14 \, A a b^{2} x^{5} + 17 \, B a^{3} x^{2} - 11 \, A a^{2} b x^{2}}{18 \, {\left(b x^{3} + a\right)}^{2} b^{4}} + \frac{2 \, B b^{12} x^{5} - 15 \, B a b^{11} x^{2} + 5 \, A b^{12} x^{2}}{10 \, b^{15}}"," ",0,"-4/27*(11*B*a^2*(-a/b)^(1/3) - 5*A*a*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^4) - 4/27*sqrt(3)*(11*(-a*b^2)^(2/3)*B*a - 5*(-a*b^2)^(2/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^6 + 2/27*(11*(-a*b^2)^(2/3)*B*a - 5*(-a*b^2)^(2/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^6 - 1/18*(20*B*a^2*b*x^5 - 14*A*a*b^2*x^5 + 17*B*a^3*x^2 - 11*A*a^2*b*x^2)/((b*x^3 + a)^2*b^4) + 1/10*(2*B*b^12*x^5 - 15*B*a*b^11*x^2 + 5*A*b^12*x^2)/b^15","A",0
96,1,234,0,0.238401," ","integrate(x^9*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{7 \, \sqrt{3} {\left(5 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 2 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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}} - \frac{7 \, {\left(5 \, B a^{2} - 2 \, A a b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a b^{4}} + \frac{7 \, {\left(5 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 2 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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}} - \frac{19 \, B a^{2} b x^{4} - 13 \, A a b^{2} x^{4} + 16 \, B a^{3} x - 10 \, A a^{2} b x}{18 \, {\left(b x^{3} + a\right)}^{2} b^{4}} + \frac{B b^{9} x^{4} - 12 \, B a b^{8} x + 4 \, A b^{9} x}{4 \, b^{12}}"," ",0,"7/27*sqrt(3)*(5*(-a*b^2)^(1/3)*B*a - 2*(-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^5 - 7/27*(5*B*a^2 - 2*A*a*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^4) + 7/54*(5*(-a*b^2)^(1/3)*B*a - 2*(-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^5 - 1/18*(19*B*a^2*b*x^4 - 13*A*a*b^2*x^4 + 16*B*a^3*x - 10*A*a^2*b*x)/((b*x^3 + a)^2*b^4) + 1/4*(B*b^9*x^4 - 12*B*a*b^8*x + 4*A*b^9*x)/b^12","A",0
97,1,210,0,0.210526," ","integrate(x^7*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} b^{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 \, \left(-a b^{2}\right)^{\frac{1}{3}} b^{3}} + \frac{5 \, {\left(4 \, B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} - A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a b^{3}} + \frac{14 \, B a b x^{5} - 8 \, A b^{2} x^{5} + 11 \, B a^{2} x^{2} - 5 \, A a b x^{2}}{18 \, {\left(b x^{3} + a\right)}^{2} b^{3}}"," ",0,"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))/((-a*b^2)^(1/3)*b^3) + 5/54*(4*B*a - A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*b^3) + 5/27*(4*B*a*(-a/b)^(1/3) - A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^3) + 1/18*(14*B*a*b*x^5 - 8*A*b^2*x^5 + 11*B*a^2*x^2 - 5*A*a*b*x^2)/((b*x^3 + a)^2*b^3)","A",0
98,1,187,0,0.196388," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{2}{3}} b^{2}} + \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 \, \left(-a b^{2}\right)^{\frac{2}{3}} b^{2}} + \frac{B x}{b^{3}} + \frac{2 \, {\left(7 \, B a - A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a b^{3}} + \frac{13 \, B a b x^{4} - 7 \, A b^{2} x^{4} + 10 \, B a^{2} x - 4 \, A a b x}{18 \, {\left(b x^{3} + a\right)}^{2} b^{3}}"," ",0,"2/27*sqrt(3)*(7*B*a - A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/((-a*b^2)^(2/3)*b^2) + 1/27*(7*B*a - A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(2/3)*b^2) + B*x/b^3 + 2/27*(7*B*a - A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^3) + 1/18*(13*B*a*b*x^4 - 7*A*b^2*x^4 + 10*B*a^2*x - 4*A*a*b*x)/((b*x^3 + a)^2*b^3)","A",0
99,1,206,0,0.198573," ","integrate(x^4*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a b^{2}} - \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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a b^{2}} - \frac{{\left(5 \, B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} + A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{2} b^{2}} - \frac{8 \, B a b x^{5} - 2 \, A b^{2} x^{5} + 5 \, B a^{2} x^{2} + A a b x^{2}}{18 \, {\left(b x^{3} + a\right)}^{2} a b^{2}}"," ",0,"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^2)^(1/3)*a*b^2) - 1/54*(5*B*a + A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*a*b^2) - 1/27*(5*B*a*(-a/b)^(1/3) + A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^2*b^2) - 1/18*(8*B*a*b*x^5 - 2*A*b^2*x^5 + 5*B*a^2*x^2 + A*a*b*x^2)/((b*x^3 + a)^2*a*b^2)","A",0
100,1,187,0,0.191931," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","-\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 \, \left(-a b^{2}\right)^{\frac{2}{3}} a b} - \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 \, \left(-a b^{2}\right)^{\frac{2}{3}} a b} - \frac{{\left(2 \, B a + A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{2} b^{2}} - \frac{7 \, B a b x^{4} - A b^{2} x^{4} + 4 \, B a^{2} x + 2 \, A a b x}{18 \, {\left(b x^{3} + a\right)}^{2} a b^{2}}"," ",0,"-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^2)^(2/3)*a*b) - 1/54*(2*B*a + A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(2/3)*a*b) - 1/27*(2*B*a + A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^2*b^2) - 1/18*(7*B*a*b*x^4 - A*b^2*x^4 + 4*B*a^2*x + 2*A*a*b*x)/((b*x^3 + a)^2*a*b^2)","A",0
101,1,207,0,0.214896," ","integrate(x*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a^{2} b} - \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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a^{2} b} - \frac{{\left(B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} + 2 \, A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{3} b} + \frac{2 \, B a b x^{5} + 4 \, A b^{2} x^{5} - B a^{2} x^{2} + 7 \, A a b x^{2}}{18 \, {\left(b x^{3} + a\right)}^{2} a^{2} b}"," ",0,"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*b^2)^(1/3)*a^2*b) - 1/54*(B*a + 2*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*a^2*b) - 1/27*(B*a*(-a/b)^(1/3) + 2*A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^3*b) + 1/18*(2*B*a*b*x^5 + 4*A*b^2*x^5 - B*a^2*x^2 + 7*A*a*b*x^2)/((b*x^3 + a)^2*a^2*b)","A",0
102,1,180,0,0.195088," ","integrate((B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","-\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 \, \left(-a b^{2}\right)^{\frac{2}{3}} a^{2}} - \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 \, \left(-a b^{2}\right)^{\frac{2}{3}} a^{2}} - \frac{{\left(B a + 5 \, A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{3} b} + \frac{B a b x^{4} + 5 \, A b^{2} x^{4} - 2 \, B a^{2} x + 8 \, A a b x}{18 \, {\left(b x^{3} + a\right)}^{2} a^{2} b}"," ",0,"-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*b^2)^(2/3)*a^2) - 1/54*(B*a + 5*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(2/3)*a^2) - 1/27*(B*a + 5*A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^3*b) + 1/18*(B*a*b*x^4 + 5*A*b^2*x^4 - 2*B*a^2*x + 8*A*a*b*x)/((b*x^3 + a)^2*a^2*b)","A",0
103,1,204,0,0.195627," ","integrate((B*x^3+A)/x^2/(b*x^3+a)^3,x, algorithm=""giac"")","\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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a^{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 \, \left(-a b^{2}\right)^{\frac{1}{3}} a^{3}} - \frac{2 \, {\left(B a \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 7 \, A b \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{4}} - \frac{A}{a^{3} x} + \frac{4 \, B a b x^{5} - 10 \, A b^{2} x^{5} + 7 \, B a^{2} x^{2} - 13 \, A a b x^{2}}{18 \, {\left(b x^{3} + a\right)}^{2} a^{3}}"," ",0,"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*b^2)^(1/3)*a^3) - 1/27*(B*a - 7*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/((-a*b^2)^(1/3)*a^3) - 2/27*(B*a*(-a/b)^(1/3) - 7*A*b*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^4 - A/(a^3*x) + 1/18*(4*B*a*b*x^5 - 10*A*b^2*x^5 + 7*B*a^2*x^2 - 13*A*a*b*x^2)/((b*x^3 + a)^2*a^3)","A",0
104,1,209,0,0.190925," ","integrate((B*x^3+A)/x^3/(b*x^3+a)^3,x, algorithm=""giac"")","-\frac{5 \, {\left(B a - 4 \, A b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{4}} + \frac{5 \, \sqrt{3} {\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - 4 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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} b} + \frac{5 \, {\left(\left(-a b^{2}\right)^{\frac{1}{3}} B a - 4 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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} b} + \frac{5 \, B a b x^{6} - 20 \, A b^{2} x^{6} + 8 \, B a^{2} x^{3} - 32 \, A a b x^{3} - 9 \, A a^{2}}{18 \, {\left(b x^{4} + a x\right)}^{2} a^{3}}"," ",0,"-5/27*(B*a - 4*A*b)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^4 + 5/27*sqrt(3)*((-a*b^2)^(1/3)*B*a - 4*(-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^4*b) + 5/54*((-a*b^2)^(1/3)*B*a - 4*(-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^4*b) + 1/18*(5*B*a*b*x^6 - 20*A*b^2*x^6 + 8*B*a^2*x^3 - 32*A*a*b*x^3 - 9*A*a^2)/((b*x^4 + a*x)^2*a^3)","A",0
105,1,254,0,0.197984," ","integrate((B*x^3+A)/x^5/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{7 \, {\left(2 \, B a b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 5 \, A b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{5}} + \frac{7 \, \sqrt{3} {\left(2 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{5} b} - \frac{7 \, {\left(2 \, \left(-a b^{2}\right)^{\frac{2}{3}} B a - 5 \, \left(-a b^{2}\right)^{\frac{2}{3}} 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^{5} b} - \frac{10 \, B a b^{2} x^{5} - 16 \, A b^{3} x^{5} + 13 \, B a^{2} b x^{2} - 19 \, A a b^{2} x^{2}}{18 \, {\left(b x^{3} + a\right)}^{2} a^{4}} - \frac{4 \, B a x^{3} - 12 \, A b x^{3} + A a}{4 \, a^{4} x^{4}}"," ",0,"7/27*(2*B*a*b*(-a/b)^(1/3) - 5*A*b^2*(-a/b)^(1/3))*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^5 + 7/27*sqrt(3)*(2*(-a*b^2)^(2/3)*B*a - 5*(-a*b^2)^(2/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^5*b) - 7/54*(2*(-a*b^2)^(2/3)*B*a - 5*(-a*b^2)^(2/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^5*b) - 1/18*(10*B*a*b^2*x^5 - 16*A*b^3*x^5 + 13*B*a^2*b*x^2 - 19*A*a*b^2*x^2)/((b*x^3 + a)^2*a^4) - 1/4*(4*B*a*x^3 - 12*A*b*x^3 + A*a)/(a^4*x^4)","A",0
106,1,229,0,0.193164," ","integrate((B*x^3+A)/x^6/(b*x^3+a)^3,x, algorithm=""giac"")","-\frac{4 \, \sqrt{3} {\left(5 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 11 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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^{5}} + \frac{4 \, {\left(5 \, B a b - 11 \, A b^{2}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{27 \, a^{5}} - \frac{2 \, {\left(5 \, \left(-a b^{2}\right)^{\frac{1}{3}} B a - 11 \, \left(-a b^{2}\right)^{\frac{1}{3}} 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^{5}} - \frac{11 \, B a b^{2} x^{4} - 17 \, A b^{3} x^{4} + 14 \, B a^{2} b x - 20 \, A a b^{2} x}{18 \, {\left(b x^{3} + a\right)}^{2} a^{4}} - \frac{5 \, B a x^{3} - 15 \, A b x^{3} + 2 \, A a}{10 \, a^{4} x^{5}}"," ",0,"-4/27*sqrt(3)*(5*(-a*b^2)^(1/3)*B*a - 11*(-a*b^2)^(1/3)*A*b)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/a^5 + 4/27*(5*B*a*b - 11*A*b^2)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^5 - 2/27*(5*(-a*b^2)^(1/3)*B*a - 11*(-a*b^2)^(1/3)*A*b)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/a^5 - 1/18*(11*B*a*b^2*x^4 - 17*A*b^3*x^4 + 14*B*a^2*b*x - 20*A*a*b^2*x)/((b*x^3 + a)^2*a^4) - 1/10*(5*B*a*x^3 - 15*A*b*x^3 + 2*A*a)/(a^4*x^5)","A",0
107,1,70,0,0.183960," ","integrate(x^8/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{a^{2} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, {\left(b^{3} c - a b^{2} d\right)}} - \frac{c^{2} \log\left({\left| d x^{3} + c \right|}\right)}{3 \, {\left(b c d^{2} - a d^{3}\right)}} + \frac{x^{3}}{3 \, b d}"," ",0,"1/3*a^2*log(abs(b*x^3 + a))/(b^3*c - a*b^2*d) - 1/3*c^2*log(abs(d*x^3 + c))/(b*c*d^2 - a*d^3) + 1/3*x^3/(b*d)","A",0
108,1,311,0,0.214343," ","integrate(x^7/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{a^{2} \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a b^{2} c - a^{2} b d\right)}} + \frac{c^{2} \left(-\frac{c}{d}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} d - a c d^{2}\right)}} - \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{\sqrt{3} b^{4} c - \sqrt{3} a b^{3} d} + \frac{\left(-c d^{2}\right)^{\frac{2}{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)}{\sqrt{3} b c d^{3} - \sqrt{3} a d^{4}} + \frac{\left(-a b^{2}\right)^{\frac{2}{3}} 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^{4} c - a b^{3} d\right)}} - \frac{\left(-c d^{2}\right)^{\frac{2}{3}} 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^{3} - a d^{4}\right)}} + \frac{x^{2}}{2 \, b d}"," ",0,"-1/3*a^2*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^2*c - a^2*b*d) + 1/3*c^2*(-c/d)^(2/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^2*d - a*c*d^2) - (-a*b^2)^(2/3)*a*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*b^4*c - sqrt(3)*a*b^3*d) + (-c*d^2)^(2/3)*c*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c*d^3 - sqrt(3)*a*d^4) + 1/6*(-a*b^2)^(2/3)*a*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(b^4*c - a*b^3*d) - 1/6*(-c*d^2)^(2/3)*c*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c*d^3 - a*d^4) + 1/2*x^2/(b*d)","A",0
109,1,308,0,0.211994," ","integrate(x^6/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{a^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a b^{2} c - a^{2} b d\right)}} + \frac{c^{2} \left(-\frac{c}{d}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} d - a c d^{2}\right)}} + \frac{\left(-a b^{2}\right)^{\frac{1}{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)}{\sqrt{3} b^{3} c - \sqrt{3} a b^{2} d} - \frac{\left(-c d^{2}\right)^{\frac{1}{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)}{\sqrt{3} b c d^{2} - \sqrt{3} a d^{3}} + \frac{\left(-a b^{2}\right)^{\frac{1}{3}} 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^{3} c - a b^{2} d\right)}} - \frac{\left(-c d^{2}\right)^{\frac{1}{3}} 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^{2} - a d^{3}\right)}} + \frac{x}{b d}"," ",0,"-1/3*a^2*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^2*c - a^2*b*d) + 1/3*c^2*(-c/d)^(1/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^2*d - a*c*d^2) + (-a*b^2)^(1/3)*a*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*b^3*c - sqrt(3)*a*b^2*d) - (-c*d^2)^(1/3)*c*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c*d^2 - sqrt(3)*a*d^3) + 1/6*(-a*b^2)^(1/3)*a*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(b^3*c - a*b^2*d) - 1/6*(-c*d^2)^(1/3)*c*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c*d^2 - a*d^3) + x/(b*d)","A",0
110,1,51,0,0.186074," ","integrate(x^5/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{a \log\left({\left| b x^{3} + a \right|}\right)}{3 \, {\left(b^{2} c - a b d\right)}} + \frac{c \log\left({\left| d x^{3} + c \right|}\right)}{3 \, {\left(b c d - a d^{2}\right)}}"," ",0,"-1/3*a*log(abs(b*x^3 + a))/(b^2*c - a*b*d) + 1/3*c*log(abs(d*x^3 + c))/(b*c*d - a*d^2)","A",0
111,1,286,0,0.245779," ","integrate(x^4/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{a \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a b c - a^{2} d\right)}} - \frac{c \left(-\frac{c}{d}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{\sqrt{3} b^{3} c - \sqrt{3} a b^{2} d} - \frac{\left(-c d^{2}\right)^{\frac{2}{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)}{\sqrt{3} b c d^{2} - \sqrt{3} a d^{3}} - \frac{\left(-a b^{2}\right)^{\frac{2}{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(b^{3} c - a b^{2} d\right)}} + \frac{\left(-c d^{2}\right)^{\frac{2}{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 d^{2} - a d^{3}\right)}}"," ",0,"1/3*a*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a*b*c - a^2*d) - 1/3*c*(-c/d)^(2/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^2 - a*c*d) + (-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*b^3*c - sqrt(3)*a*b^2*d) - (-c*d^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c*d^2 - sqrt(3)*a*d^3) - 1/6*(-a*b^2)^(2/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(b^3*c - a*b^2*d) + 1/6*(-c*d^2)^(2/3)*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c*d^2 - a*d^3)","A",0
112,1,278,0,0.204432," ","integrate(x^3/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{a \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a b c - a^{2} d\right)}} - \frac{c \left(-\frac{c}{d}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} - \frac{\left(-a b^{2}\right)^{\frac{1}{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)}{\sqrt{3} b^{2} c - \sqrt{3} a b d} + \frac{\left(-c d^{2}\right)^{\frac{1}{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)}{\sqrt{3} b c d - \sqrt{3} a d^{2}} - \frac{\left(-a b^{2}\right)^{\frac{1}{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(b^{2} c - a b d\right)}} + \frac{\left(-c d^{2}\right)^{\frac{1}{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 d - a d^{2}\right)}}"," ",0,"1/3*a*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b*c - a^2*d) - 1/3*c*(-c/d)^(1/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^2 - a*c*d) - (-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*b^2*c - sqrt(3)*a*b*d) + (-c*d^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c*d - sqrt(3)*a*d^2) - 1/6*(-a*b^2)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(b^2*c - a*b*d) + 1/6*(-c*d^2)^(1/3)*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c*d - a*d^2)","A",0
113,1,51,0,0.183382," ","integrate(x^2/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{b \log\left({\left| b x^{3} + a \right|}\right)}{3 \, {\left(b^{2} c - a b d\right)}} - \frac{d \log\left({\left| d x^{3} + c \right|}\right)}{3 \, {\left(b c d - a d^{2}\right)}}"," ",0,"1/3*b*log(abs(b*x^3 + a))/(b^2*c - a*b*d) - 1/3*d*log(abs(d*x^3 + c))/(b*c*d - a*d^2)","A",0
114,1,290,0,0.247257," ","integrate(x/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a b c - a^{2} d\right)}} + \frac{d \left(-\frac{c}{d}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} - \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{\sqrt{3} a b^{2} c - \sqrt{3} a^{2} b d} + \frac{\left(-c d^{2}\right)^{\frac{2}{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)}{\sqrt{3} b c^{2} d - \sqrt{3} a c d^{2}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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 b^{2} c - a^{2} b d\right)}} - \frac{\left(-c d^{2}\right)^{\frac{2}{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^{2} d - a c d^{2}\right)}}"," ",0,"-1/3*b*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a*b*c - a^2*d) + 1/3*d*(-c/d)^(2/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^2 - a*c*d) - (-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*a*b^2*c - sqrt(3)*a^2*b*d) + (-c*d^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c^2*d - sqrt(3)*a*c*d^2) + 1/6*(-a*b^2)^(2/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^2*c - a^2*b*d) - 1/6*(-c*d^2)^(2/3)*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c^2*d - a*c*d^2)","A",0
115,1,278,0,0.212895," ","integrate(1/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a b c - a^{2} d\right)}} + \frac{d \left(-\frac{c}{d}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} + \frac{\left(-a b^{2}\right)^{\frac{1}{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)}{\sqrt{3} a b c - \sqrt{3} a^{2} d} - \frac{\left(-c d^{2}\right)^{\frac{1}{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)}{\sqrt{3} b c^{2} - \sqrt{3} a c d} + \frac{\left(-a b^{2}\right)^{\frac{1}{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 b c - a^{2} d\right)}} - \frac{\left(-c d^{2}\right)^{\frac{1}{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^{2} - a c d\right)}}"," ",0,"-1/3*b*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b*c - a^2*d) + 1/3*d*(-c/d)^(1/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^2 - a*c*d) + (-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*a*b*c - sqrt(3)*a^2*d) - (-c*d^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c^2 - sqrt(3)*a*c*d) + 1/6*(-a*b^2)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b*c - a^2*d) - 1/6*(-c*d^2)^(1/3)*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c^2 - a*c*d)","A",0
116,1,71,0,0.184115," ","integrate(1/x/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, {\left(a b^{2} c - a^{2} b d\right)}} + \frac{d^{2} \log\left({\left| d x^{3} + c \right|}\right)}{3 \, {\left(b c^{2} d - a c d^{2}\right)}} + \frac{\log\left({\left| x \right|}\right)}{a c}"," ",0,"-1/3*b^2*log(abs(b*x^3 + a))/(a*b^2*c - a^2*b*d) + 1/3*d^2*log(abs(d*x^3 + c))/(b*c^2*d - a*c*d^2) + log(abs(x))/(a*c)","A",0
117,1,305,0,0.252039," ","integrate(1/x^2/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{b^{2} \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a^{2} b c - a^{3} d\right)}} - \frac{d^{2} \left(-\frac{c}{d}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{\sqrt{3} a^{2} b c - \sqrt{3} a^{3} d} - \frac{\left(-c d^{2}\right)^{\frac{2}{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)}{\sqrt{3} b c^{3} - \sqrt{3} a c^{2} d} - \frac{\left(-a b^{2}\right)^{\frac{2}{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^{2} b c - a^{3} d\right)}} + \frac{\left(-c d^{2}\right)^{\frac{2}{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^{3} - a c^{2} d\right)}} - \frac{1}{a c x}"," ",0,"1/3*b^2*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a^2*b*c - a^3*d) - 1/3*d^2*(-c/d)^(2/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^3 - a*c^2*d) + (-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*a^2*b*c - sqrt(3)*a^3*d) - (-c*d^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c^3 - sqrt(3)*a*c^2*d) - 1/6*(-a*b^2)^(2/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b*c - a^3*d) + 1/6*(-c*d^2)^(2/3)*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c^3 - a*c^2*d) - 1/(a*c*x)","A",0
118,1,309,0,0.205970," ","integrate(1/x^3/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a^{2} b c - a^{3} d\right)}} - \frac{d^{2} \left(-\frac{c}{d}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} - \frac{\left(-a b^{2}\right)^{\frac{1}{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)}{\sqrt{3} a^{2} b c - \sqrt{3} a^{3} d} + \frac{\left(-c d^{2}\right)^{\frac{1}{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)}{\sqrt{3} b c^{3} - \sqrt{3} a c^{2} d} - \frac{\left(-a b^{2}\right)^{\frac{1}{3}} 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^{2} b c - a^{3} d\right)}} + \frac{\left(-c d^{2}\right)^{\frac{1}{3}} 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^{3} - a c^{2} d\right)}} - \frac{1}{2 \, a c x^{2}}"," ",0,"1/3*b^2*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^2*b*c - a^3*d) - 1/3*d^2*(-c/d)^(1/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^3 - a*c^2*d) - (-a*b^2)^(1/3)*b*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*a^2*b*c - sqrt(3)*a^3*d) + (-c*d^2)^(1/3)*d*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c^3 - sqrt(3)*a*c^2*d) - 1/6*(-a*b^2)^(1/3)*b*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b*c - a^3*d) + 1/6*(-c*d^2)^(1/3)*d*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c^3 - a*c^2*d) - 1/2/(a*c*x^2)","A",0
119,1,111,0,0.192748," ","integrate(1/x^4/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, {\left(a^{2} b^{2} c - a^{3} b d\right)}} - \frac{d^{3} \log\left({\left| d x^{3} + c \right|}\right)}{3 \, {\left(b c^{3} d - a c^{2} d^{2}\right)}} - \frac{{\left(b c + a d\right)} \log\left({\left| x \right|}\right)}{a^{2} c^{2}} + \frac{b c x^{3} + a d x^{3} - a c}{3 \, a^{2} c^{2} x^{3}}"," ",0,"1/3*b^3*log(abs(b*x^3 + a))/(a^2*b^2*c - a^3*b*d) - 1/3*d^3*log(abs(d*x^3 + c))/(b*c^3*d - a*c^2*d^2) - (b*c + a*d)*log(abs(x))/(a^2*c^2) + 1/3*(b*c*x^3 + a*d*x^3 - a*c)/(a^2*c^2*x^3)","A",0
120,1,328,0,0.243367," ","integrate(1/x^5/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b^{3} \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a^{3} b c - a^{4} d\right)}} + \frac{d^{3} \left(-\frac{c}{d}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{4} - a c^{3} d\right)}} - \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{\sqrt{3} a^{3} b c - \sqrt{3} a^{4} d} + \frac{\left(-c d^{2}\right)^{\frac{2}{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)}{\sqrt{3} b c^{4} - \sqrt{3} a c^{3} d} + \frac{\left(-a b^{2}\right)^{\frac{2}{3}} 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^{3} b c - a^{4} d\right)}} - \frac{\left(-c d^{2}\right)^{\frac{2}{3}} 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^{4} - a c^{3} d\right)}} + \frac{4 \, b c x^{3} + 4 \, a d x^{3} - a c}{4 \, a^{2} c^{2} x^{4}}"," ",0,"-1/3*b^3*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a^3*b*c - a^4*d) + 1/3*d^3*(-c/d)^(2/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^4 - a*c^3*d) - (-a*b^2)^(2/3)*b*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*a^3*b*c - sqrt(3)*a^4*d) + (-c*d^2)^(2/3)*d*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c^4 - sqrt(3)*a*c^3*d) + 1/6*(-a*b^2)^(2/3)*b*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^3*b*c - a^4*d) - 1/6*(-c*d^2)^(2/3)*d*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c^4 - a*c^3*d) + 1/4*(4*b*c*x^3 + 4*a*d*x^3 - a*c)/(a^2*c^2*x^4)","A",0
121,1,336,0,0.206024," ","integrate(1/x^6/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b^{3} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a^{3} b c - a^{4} d\right)}} + \frac{d^{3} \left(-\frac{c}{d}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{4} - a c^{3} d\right)}} + \frac{\left(-a b^{2}\right)^{\frac{1}{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)}{\sqrt{3} a^{3} b c - \sqrt{3} a^{4} d} - \frac{\left(-c d^{2}\right)^{\frac{1}{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)}{\sqrt{3} b c^{4} - \sqrt{3} a c^{3} d} + \frac{\left(-a b^{2}\right)^{\frac{1}{3}} 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^{3} b c - a^{4} d\right)}} - \frac{\left(-c d^{2}\right)^{\frac{1}{3}} 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^{4} - a c^{3} d\right)}} + \frac{5 \, b c x^{3} + 5 \, a d x^{3} - 2 \, a c}{10 \, a^{2} c^{2} x^{5}}"," ",0,"-1/3*b^3*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a^3*b*c - a^4*d) + 1/3*d^3*(-c/d)^(1/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^4 - a*c^3*d) + (-a*b^2)^(1/3)*b^2*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*a^3*b*c - sqrt(3)*a^4*d) - (-c*d^2)^(1/3)*d^2*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c^4 - sqrt(3)*a*c^3*d) + 1/6*(-a*b^2)^(1/3)*b^2*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^3*b*c - a^4*d) - 1/6*(-c*d^2)^(1/3)*d^2*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c^4 - a*c^3*d) + 1/10*(5*b*c*x^3 + 5*a*d*x^3 - 2*a*c)/(a^2*c^2*x^5)","A",0
122,1,165,0,0.260557," ","integrate(1/x^7/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b^{4} \log\left({\left| b x^{3} + a \right|}\right)}{3 \, {\left(a^{3} b^{2} c - a^{4} b d\right)}} + \frac{d^{4} \log\left({\left| d x^{3} + c \right|}\right)}{3 \, {\left(b c^{4} d - a c^{3} d^{2}\right)}} + \frac{{\left(b^{2} c^{2} + a b c d + a^{2} d^{2}\right)} \log\left({\left| x \right|}\right)}{a^{3} c^{3}} - \frac{3 \, b^{2} c^{2} x^{6} + 3 \, a b c d x^{6} + 3 \, a^{2} d^{2} x^{6} - 2 \, a b c^{2} x^{3} - 2 \, a^{2} c d x^{3} + a^{2} c^{2}}{6 \, a^{3} c^{3} x^{6}}"," ",0,"-1/3*b^4*log(abs(b*x^3 + a))/(a^3*b^2*c - a^4*b*d) + 1/3*d^4*log(abs(d*x^3 + c))/(b*c^4*d - a*c^3*d^2) + (b^2*c^2 + a*b*c*d + a^2*d^2)*log(abs(x))/(a^3*c^3) - 1/6*(3*b^2*c^2*x^6 + 3*a*b*c*d*x^6 + 3*a^2*d^2*x^6 - 2*a*b*c^2*x^3 - 2*a^2*c*d*x^3 + a^2*c^2)/(a^3*c^3*x^6)","A",0
123,1,377,0,0.215020," ","integrate(1/x^8/(b*x^3+a)/(d*x^3+c),x, algorithm=""giac"")","\frac{b^{4} \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a^{4} b c - a^{5} d\right)}} - \frac{d^{4} \left(-\frac{c}{d}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{c}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{5} - a c^{4} d\right)}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{\sqrt{3} a^{4} b c - \sqrt{3} a^{5} d} - \frac{\left(-c d^{2}\right)^{\frac{2}{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)}{\sqrt{3} b c^{5} - \sqrt{3} a c^{4} d} - \frac{\left(-a b^{2}\right)^{\frac{2}{3}} 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^{4} b c - a^{5} d\right)}} + \frac{\left(-c d^{2}\right)^{\frac{2}{3}} 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^{5} - a c^{4} d\right)}} - \frac{28 \, b^{2} c^{2} x^{6} + 28 \, a b c d x^{6} + 28 \, a^{2} d^{2} x^{6} - 7 \, a b c^{2} x^{3} - 7 \, a^{2} c d x^{3} + 4 \, a^{2} c^{2}}{28 \, a^{3} c^{3} x^{7}}"," ",0,"1/3*b^4*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a^4*b*c - a^5*d) - 1/3*d^4*(-c/d)^(2/3)*log(abs(x - (-c/d)^(1/3)))/(b*c^5 - a*c^4*d) + (-a*b^2)^(2/3)*b^2*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*a^4*b*c - sqrt(3)*a^5*d) - (-c*d^2)^(2/3)*d^2*arctan(1/3*sqrt(3)*(2*x + (-c/d)^(1/3))/(-c/d)^(1/3))/(sqrt(3)*b*c^5 - sqrt(3)*a*c^4*d) - 1/6*(-a*b^2)^(2/3)*b^2*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^4*b*c - a^5*d) + 1/6*(-c*d^2)^(2/3)*d^2*log(x^2 + x*(-c/d)^(1/3) + (-c/d)^(2/3))/(b*c^5 - a*c^4*d) - 1/28*(28*b^2*c^2*x^6 + 28*a*b*c*d*x^6 + 28*a^2*d^2*x^6 - 7*a*b*c^2*x^3 - 7*a^2*c*d*x^3 + 4*a^2*c^2)/(a^3*c^3*x^7)","A",0
124,1,1331,0,0.285132," ","integrate(x^m*(b*x^3+a)^5*(B*x^3+A),x, algorithm=""giac"")","\frac{B b^{5} m^{6} x^{19} x^{m} + 51 \, B b^{5} m^{5} x^{19} x^{m} + 1005 \, B b^{5} m^{4} x^{19} x^{m} + 5 \, B a b^{4} m^{6} x^{16} x^{m} + A b^{5} m^{6} x^{16} x^{m} + 9605 \, B b^{5} m^{3} x^{19} x^{m} + 270 \, B a b^{4} m^{5} x^{16} x^{m} + 54 \, A b^{5} m^{5} x^{16} x^{m} + 45474 \, B b^{5} m^{2} x^{19} x^{m} + 5550 \, B a b^{4} m^{4} x^{16} x^{m} + 1110 \, A b^{5} m^{4} x^{16} x^{m} + 95064 \, B b^{5} m x^{19} x^{m} + 10 \, B a^{2} b^{3} m^{6} x^{13} x^{m} + 5 \, A a b^{4} m^{6} x^{13} x^{m} + 54700 \, B a b^{4} m^{3} x^{16} x^{m} + 10940 \, A b^{5} m^{3} x^{16} x^{m} + 58240 \, B b^{5} x^{19} x^{m} + 570 \, B a^{2} b^{3} m^{5} x^{13} x^{m} + 285 \, A a b^{4} m^{5} x^{13} x^{m} + 264645 \, B a b^{4} m^{2} x^{16} x^{m} + 52929 \, A b^{5} m^{2} x^{16} x^{m} + 12330 \, B a^{2} b^{3} m^{4} x^{13} x^{m} + 6165 \, A a b^{4} m^{4} x^{13} x^{m} + 561030 \, B a b^{4} m x^{16} x^{m} + 112206 \, A b^{5} m x^{16} x^{m} + 10 \, B a^{3} b^{2} m^{6} x^{10} x^{m} + 10 \, A a^{2} b^{3} m^{6} x^{10} x^{m} + 126710 \, B a^{2} b^{3} m^{3} x^{13} x^{m} + 63355 \, A a b^{4} m^{3} x^{13} x^{m} + 345800 \, B a b^{4} x^{16} x^{m} + 69160 \, A b^{5} x^{16} x^{m} + 600 \, B a^{3} b^{2} m^{5} x^{10} x^{m} + 600 \, A a^{2} b^{3} m^{5} x^{10} x^{m} + 632460 \, B a^{2} b^{3} m^{2} x^{13} x^{m} + 316230 \, A a b^{4} m^{2} x^{13} x^{m} + 13740 \, B a^{3} b^{2} m^{4} x^{10} x^{m} + 13740 \, A a^{2} b^{3} m^{4} x^{10} x^{m} + 1368720 \, B a^{2} b^{3} m x^{13} x^{m} + 684360 \, A a b^{4} m x^{13} x^{m} + 5 \, B a^{4} b m^{6} x^{7} x^{m} + 10 \, A a^{3} b^{2} m^{6} x^{7} x^{m} + 149600 \, B a^{3} b^{2} m^{3} x^{10} x^{m} + 149600 \, A a^{2} b^{3} m^{3} x^{10} x^{m} + 851200 \, B a^{2} b^{3} x^{13} x^{m} + 425600 \, A a b^{4} x^{13} x^{m} + 315 \, B a^{4} b m^{5} x^{7} x^{m} + 630 \, A a^{3} b^{2} m^{5} x^{7} x^{m} + 783690 \, B a^{3} b^{2} m^{2} x^{10} x^{m} + 783690 \, A a^{2} b^{3} m^{2} x^{10} x^{m} + 7665 \, B a^{4} b m^{4} x^{7} x^{m} + 15330 \, A a^{3} b^{2} m^{4} x^{7} x^{m} + 1753800 \, B a^{3} b^{2} m x^{10} x^{m} + 1753800 \, A a^{2} b^{3} m x^{10} x^{m} + B a^{5} m^{6} x^{4} x^{m} + 5 \, A a^{4} b m^{6} x^{4} x^{m} + 89845 \, B a^{4} b m^{3} x^{7} x^{m} + 179690 \, A a^{3} b^{2} m^{3} x^{7} x^{m} + 1106560 \, B a^{3} b^{2} x^{10} x^{m} + 1106560 \, A a^{2} b^{3} x^{10} x^{m} + 66 \, B a^{5} m^{5} x^{4} x^{m} + 330 \, A a^{4} b m^{5} x^{4} x^{m} + 510930 \, B a^{4} b m^{2} x^{7} x^{m} + 1021860 \, A a^{3} b^{2} m^{2} x^{7} x^{m} + 1710 \, B a^{5} m^{4} x^{4} x^{m} + 8550 \, A a^{4} b m^{4} x^{4} x^{m} + 1218840 \, B a^{4} b m x^{7} x^{m} + 2437680 \, A a^{3} b^{2} m x^{7} x^{m} + A a^{5} m^{6} x x^{m} + 21860 \, B a^{5} m^{3} x^{4} x^{m} + 109300 \, A a^{4} b m^{3} x^{4} x^{m} + 790400 \, B a^{4} b x^{7} x^{m} + 1580800 \, A a^{3} b^{2} x^{7} x^{m} + 69 \, A a^{5} m^{5} x x^{m} + 140529 \, B a^{5} m^{2} x^{4} x^{m} + 702645 \, A a^{4} b m^{2} x^{4} x^{m} + 1905 \, A a^{5} m^{4} x x^{m} + 396954 \, B a^{5} m x^{4} x^{m} + 1984770 \, A a^{4} b m x^{4} x^{m} + 26795 \, A a^{5} m^{3} x x^{m} + 276640 \, B a^{5} x^{4} x^{m} + 1383200 \, A a^{4} b x^{4} x^{m} + 201174 \, A a^{5} m^{2} x x^{m} + 757896 \, A a^{5} m x x^{m} + 1106560 \, A a^{5} x x^{m}}{m^{7} + 70 \, m^{6} + 1974 \, m^{5} + 28700 \, m^{4} + 227969 \, m^{3} + 959070 \, m^{2} + 1864456 \, m + 1106560}"," ",0,"(B*b^5*m^6*x^19*x^m + 51*B*b^5*m^5*x^19*x^m + 1005*B*b^5*m^4*x^19*x^m + 5*B*a*b^4*m^6*x^16*x^m + A*b^5*m^6*x^16*x^m + 9605*B*b^5*m^3*x^19*x^m + 270*B*a*b^4*m^5*x^16*x^m + 54*A*b^5*m^5*x^16*x^m + 45474*B*b^5*m^2*x^19*x^m + 5550*B*a*b^4*m^4*x^16*x^m + 1110*A*b^5*m^4*x^16*x^m + 95064*B*b^5*m*x^19*x^m + 10*B*a^2*b^3*m^6*x^13*x^m + 5*A*a*b^4*m^6*x^13*x^m + 54700*B*a*b^4*m^3*x^16*x^m + 10940*A*b^5*m^3*x^16*x^m + 58240*B*b^5*x^19*x^m + 570*B*a^2*b^3*m^5*x^13*x^m + 285*A*a*b^4*m^5*x^13*x^m + 264645*B*a*b^4*m^2*x^16*x^m + 52929*A*b^5*m^2*x^16*x^m + 12330*B*a^2*b^3*m^4*x^13*x^m + 6165*A*a*b^4*m^4*x^13*x^m + 561030*B*a*b^4*m*x^16*x^m + 112206*A*b^5*m*x^16*x^m + 10*B*a^3*b^2*m^6*x^10*x^m + 10*A*a^2*b^3*m^6*x^10*x^m + 126710*B*a^2*b^3*m^3*x^13*x^m + 63355*A*a*b^4*m^3*x^13*x^m + 345800*B*a*b^4*x^16*x^m + 69160*A*b^5*x^16*x^m + 600*B*a^3*b^2*m^5*x^10*x^m + 600*A*a^2*b^3*m^5*x^10*x^m + 632460*B*a^2*b^3*m^2*x^13*x^m + 316230*A*a*b^4*m^2*x^13*x^m + 13740*B*a^3*b^2*m^4*x^10*x^m + 13740*A*a^2*b^3*m^4*x^10*x^m + 1368720*B*a^2*b^3*m*x^13*x^m + 684360*A*a*b^4*m*x^13*x^m + 5*B*a^4*b*m^6*x^7*x^m + 10*A*a^3*b^2*m^6*x^7*x^m + 149600*B*a^3*b^2*m^3*x^10*x^m + 149600*A*a^2*b^3*m^3*x^10*x^m + 851200*B*a^2*b^3*x^13*x^m + 425600*A*a*b^4*x^13*x^m + 315*B*a^4*b*m^5*x^7*x^m + 630*A*a^3*b^2*m^5*x^7*x^m + 783690*B*a^3*b^2*m^2*x^10*x^m + 783690*A*a^2*b^3*m^2*x^10*x^m + 7665*B*a^4*b*m^4*x^7*x^m + 15330*A*a^3*b^2*m^4*x^7*x^m + 1753800*B*a^3*b^2*m*x^10*x^m + 1753800*A*a^2*b^3*m*x^10*x^m + B*a^5*m^6*x^4*x^m + 5*A*a^4*b*m^6*x^4*x^m + 89845*B*a^4*b*m^3*x^7*x^m + 179690*A*a^3*b^2*m^3*x^7*x^m + 1106560*B*a^3*b^2*x^10*x^m + 1106560*A*a^2*b^3*x^10*x^m + 66*B*a^5*m^5*x^4*x^m + 330*A*a^4*b*m^5*x^4*x^m + 510930*B*a^4*b*m^2*x^7*x^m + 1021860*A*a^3*b^2*m^2*x^7*x^m + 1710*B*a^5*m^4*x^4*x^m + 8550*A*a^4*b*m^4*x^4*x^m + 1218840*B*a^4*b*m*x^7*x^m + 2437680*A*a^3*b^2*m*x^7*x^m + A*a^5*m^6*x*x^m + 21860*B*a^5*m^3*x^4*x^m + 109300*A*a^4*b*m^3*x^4*x^m + 790400*B*a^4*b*x^7*x^m + 1580800*A*a^3*b^2*x^7*x^m + 69*A*a^5*m^5*x*x^m + 140529*B*a^5*m^2*x^4*x^m + 702645*A*a^4*b*m^2*x^4*x^m + 1905*A*a^5*m^4*x*x^m + 396954*B*a^5*m*x^4*x^m + 1984770*A*a^4*b*m*x^4*x^m + 26795*A*a^5*m^3*x*x^m + 276640*B*a^5*x^4*x^m + 1383200*A*a^4*b*x^4*x^m + 201174*A*a^5*m^2*x*x^m + 757896*A*a^5*m*x*x^m + 1106560*A*a^5*x*x^m)/(m^7 + 70*m^6 + 1974*m^5 + 28700*m^4 + 227969*m^3 + 959070*m^2 + 1864456*m + 1106560)","B",0
125,1,332,0,0.200550," ","integrate(x^m*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""giac"")","\frac{B b^{2} m^{3} x^{10} x^{m} + 12 \, B b^{2} m^{2} x^{10} x^{m} + 39 \, B b^{2} m x^{10} x^{m} + 2 \, B a b m^{3} x^{7} x^{m} + A b^{2} m^{3} x^{7} x^{m} + 28 \, B b^{2} x^{10} x^{m} + 30 \, B a b m^{2} x^{7} x^{m} + 15 \, A b^{2} m^{2} x^{7} x^{m} + 108 \, B a b m x^{7} x^{m} + 54 \, A b^{2} m x^{7} x^{m} + B a^{2} m^{3} x^{4} x^{m} + 2 \, A a b m^{3} x^{4} x^{m} + 80 \, B a b x^{7} x^{m} + 40 \, A b^{2} x^{7} x^{m} + 18 \, B a^{2} m^{2} x^{4} x^{m} + 36 \, A a b m^{2} x^{4} x^{m} + 87 \, B a^{2} m x^{4} x^{m} + 174 \, A a b m x^{4} x^{m} + A a^{2} m^{3} x x^{m} + 70 \, B a^{2} x^{4} x^{m} + 140 \, A a b x^{4} x^{m} + 21 \, A a^{2} m^{2} x x^{m} + 138 \, A a^{2} m x x^{m} + 280 \, A a^{2} x x^{m}}{m^{4} + 22 \, m^{3} + 159 \, m^{2} + 418 \, m + 280}"," ",0,"(B*b^2*m^3*x^10*x^m + 12*B*b^2*m^2*x^10*x^m + 39*B*b^2*m*x^10*x^m + 2*B*a*b*m^3*x^7*x^m + A*b^2*m^3*x^7*x^m + 28*B*b^2*x^10*x^m + 30*B*a*b*m^2*x^7*x^m + 15*A*b^2*m^2*x^7*x^m + 108*B*a*b*m*x^7*x^m + 54*A*b^2*m*x^7*x^m + B*a^2*m^3*x^4*x^m + 2*A*a*b*m^3*x^4*x^m + 80*B*a*b*x^7*x^m + 40*A*b^2*x^7*x^m + 18*B*a^2*m^2*x^4*x^m + 36*A*a*b*m^2*x^4*x^m + 87*B*a^2*m*x^4*x^m + 174*A*a*b*m*x^4*x^m + A*a^2*m^3*x*x^m + 70*B*a^2*x^4*x^m + 140*A*a*b*x^4*x^m + 21*A*a^2*m^2*x*x^m + 138*A*a^2*m*x*x^m + 280*A*a^2*x*x^m)/(m^4 + 22*m^3 + 159*m^2 + 418*m + 280)","B",0
126,1,143,0,0.165548," ","integrate(x^m*(b*x^3+a)*(B*x^3+A),x, algorithm=""giac"")","\frac{B b m^{2} x^{7} x^{m} + 5 \, B b m x^{7} x^{m} + 4 \, B b x^{7} x^{m} + B a m^{2} x^{4} x^{m} + A b m^{2} x^{4} x^{m} + 8 \, B a m x^{4} x^{m} + 8 \, A b m x^{4} x^{m} + 7 \, B a x^{4} x^{m} + 7 \, A b x^{4} x^{m} + A a m^{2} x x^{m} + 11 \, A a m x x^{m} + 28 \, A a x x^{m}}{m^{3} + 12 \, m^{2} + 39 \, m + 28}"," ",0,"(B*b*m^2*x^7*x^m + 5*B*b*m*x^7*x^m + 4*B*b*x^7*x^m + B*a*m^2*x^4*x^m + A*b*m^2*x^4*x^m + 8*B*a*m*x^4*x^m + 8*A*b*m*x^4*x^m + 7*B*a*x^4*x^m + 7*A*b*x^4*x^m + A*a*m^2*x*x^m + 11*A*a*m*x*x^m + 28*A*a*x*x^m)/(m^3 + 12*m^2 + 39*m + 28)","B",0
127,0,0,0,0.000000," ","integrate(x^m*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
131,1,29,0,0.168104," ","integrate(x^(7/2)*(b*x^3+a)*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{21} \, B b x^{\frac{21}{2}} + \frac{2}{15} \, B a x^{\frac{15}{2}} + \frac{2}{15} \, A b 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*x^(15/2) + 2/15*A*b*x^(15/2) + 2/9*A*a*x^(9/2)","A",0
132,1,29,0,0.154795," ","integrate(x^(5/2)*(b*x^3+a)*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{19} \, B b x^{\frac{19}{2}} + \frac{2}{13} \, B a x^{\frac{13}{2}} + \frac{2}{13} \, A b 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*x^(13/2) + 2/13*A*b*x^(13/2) + 2/7*A*a*x^(7/2)","A",0
133,1,29,0,0.177861," ","integrate(x^(3/2)*(b*x^3+a)*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{17} \, B b x^{\frac{17}{2}} + \frac{2}{11} \, B a x^{\frac{11}{2}} + \frac{2}{11} \, A b 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*x^(11/2) + 2/11*A*b*x^(11/2) + 2/5*A*a*x^(5/2)","A",0
134,1,29,0,0.150118," ","integrate((b*x^3+a)*(B*x^3+A)*x^(1/2),x, algorithm=""giac"")","\frac{2}{15} \, B b x^{\frac{15}{2}} + \frac{2}{9} \, B a x^{\frac{9}{2}} + \frac{2}{9} \, A b 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*x^(9/2) + 2/9*A*b*x^(9/2) + 2/3*A*a*x^(3/2)","A",0
135,1,29,0,0.153231," ","integrate((b*x^3+a)*(B*x^3+A)/x^(1/2),x, algorithm=""giac"")","\frac{2}{13} \, B b x^{\frac{13}{2}} + \frac{2}{7} \, B a x^{\frac{7}{2}} + \frac{2}{7} \, A b x^{\frac{7}{2}} + 2 \, A a \sqrt{x}"," ",0,"2/13*B*b*x^(13/2) + 2/7*B*a*x^(7/2) + 2/7*A*b*x^(7/2) + 2*A*a*sqrt(x)","A",0
136,1,29,0,0.149214," ","integrate((b*x^3+a)*(B*x^3+A)/x^(3/2),x, algorithm=""giac"")","\frac{2}{11} \, B b x^{\frac{11}{2}} + \frac{2}{5} \, B a x^{\frac{5}{2}} + \frac{2}{5} \, A b x^{\frac{5}{2}} - \frac{2 \, A a}{\sqrt{x}}"," ",0,"2/11*B*b*x^(11/2) + 2/5*B*a*x^(5/2) + 2/5*A*b*x^(5/2) - 2*A*a/sqrt(x)","A",0
137,1,29,0,0.157274," ","integrate((b*x^3+a)*(B*x^3+A)/x^(5/2),x, algorithm=""giac"")","\frac{2}{9} \, B b x^{\frac{9}{2}} + \frac{2}{3} \, B a x^{\frac{3}{2}} + \frac{2}{3} \, A b 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*x^(3/2) + 2/3*A*b*x^(3/2) - 2/3*A*a/x^(3/2)","A",0
138,1,29,0,0.261384," ","integrate((b*x^3+a)*(B*x^3+A)/x^(7/2),x, algorithm=""giac"")","\frac{2}{7} \, B b x^{\frac{7}{2}} + 2 \, B a \sqrt{x} + 2 \, A b \sqrt{x} - \frac{2 \, A a}{5 \, x^{\frac{5}{2}}}"," ",0,"2/7*B*b*x^(7/2) + 2*B*a*sqrt(x) + 2*A*b*sqrt(x) - 2/5*A*a/x^(5/2)","A",0
139,1,53,0,0.153205," ","integrate(x^(7/2)*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{27} \, B b^{2} x^{\frac{27}{2}} + \frac{4}{21} \, B a b x^{\frac{21}{2}} + \frac{2}{21} \, A b^{2} x^{\frac{21}{2}} + \frac{2}{15} \, B a^{2} x^{\frac{15}{2}} + \frac{4}{15} \, A a b x^{\frac{15}{2}} + \frac{2}{9} \, A a^{2} x^{\frac{9}{2}}"," ",0,"2/27*B*b^2*x^(27/2) + 4/21*B*a*b*x^(21/2) + 2/21*A*b^2*x^(21/2) + 2/15*B*a^2*x^(15/2) + 4/15*A*a*b*x^(15/2) + 2/9*A*a^2*x^(9/2)","A",0
140,1,53,0,0.175104," ","integrate(x^(5/2)*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{25} \, B b^{2} x^{\frac{25}{2}} + \frac{4}{19} \, B a b x^{\frac{19}{2}} + \frac{2}{19} \, A b^{2} x^{\frac{19}{2}} + \frac{2}{13} \, B a^{2} x^{\frac{13}{2}} + \frac{4}{13} \, A a b x^{\frac{13}{2}} + \frac{2}{7} \, A a^{2} x^{\frac{7}{2}}"," ",0,"2/25*B*b^2*x^(25/2) + 4/19*B*a*b*x^(19/2) + 2/19*A*b^2*x^(19/2) + 2/13*B*a^2*x^(13/2) + 4/13*A*a*b*x^(13/2) + 2/7*A*a^2*x^(7/2)","A",0
141,1,53,0,0.162937," ","integrate(x^(3/2)*(b*x^3+a)^2*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{23} \, B b^{2} x^{\frac{23}{2}} + \frac{4}{17} \, B a b x^{\frac{17}{2}} + \frac{2}{17} \, A b^{2} x^{\frac{17}{2}} + \frac{2}{11} \, B a^{2} x^{\frac{11}{2}} + \frac{4}{11} \, A a b x^{\frac{11}{2}} + \frac{2}{5} \, A a^{2} x^{\frac{5}{2}}"," ",0,"2/23*B*b^2*x^(23/2) + 4/17*B*a*b*x^(17/2) + 2/17*A*b^2*x^(17/2) + 2/11*B*a^2*x^(11/2) + 4/11*A*a*b*x^(11/2) + 2/5*A*a^2*x^(5/2)","A",0
142,1,53,0,0.155243," ","integrate((b*x^3+a)^2*(B*x^3+A)*x^(1/2),x, algorithm=""giac"")","\frac{2}{21} \, B b^{2} x^{\frac{21}{2}} + \frac{4}{15} \, B a b x^{\frac{15}{2}} + \frac{2}{15} \, A b^{2} x^{\frac{15}{2}} + \frac{2}{9} \, B a^{2} x^{\frac{9}{2}} + \frac{4}{9} \, A a b x^{\frac{9}{2}} + \frac{2}{3} \, A a^{2} x^{\frac{3}{2}}"," ",0,"2/21*B*b^2*x^(21/2) + 4/15*B*a*b*x^(15/2) + 2/15*A*b^2*x^(15/2) + 2/9*B*a^2*x^(9/2) + 4/9*A*a*b*x^(9/2) + 2/3*A*a^2*x^(3/2)","A",0
143,1,53,0,0.227321," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(1/2),x, algorithm=""giac"")","\frac{2}{19} \, B b^{2} x^{\frac{19}{2}} + \frac{4}{13} \, B a b x^{\frac{13}{2}} + \frac{2}{13} \, A b^{2} x^{\frac{13}{2}} + \frac{2}{7} \, B a^{2} x^{\frac{7}{2}} + \frac{4}{7} \, A a b x^{\frac{7}{2}} + 2 \, A a^{2} \sqrt{x}"," ",0,"2/19*B*b^2*x^(19/2) + 4/13*B*a*b*x^(13/2) + 2/13*A*b^2*x^(13/2) + 2/7*B*a^2*x^(7/2) + 4/7*A*a*b*x^(7/2) + 2*A*a^2*sqrt(x)","A",0
144,1,53,0,0.153961," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(3/2),x, algorithm=""giac"")","\frac{2}{17} \, B b^{2} x^{\frac{17}{2}} + \frac{4}{11} \, B a b x^{\frac{11}{2}} + \frac{2}{11} \, A b^{2} x^{\frac{11}{2}} + \frac{2}{5} \, B a^{2} x^{\frac{5}{2}} + \frac{4}{5} \, A a b x^{\frac{5}{2}} - \frac{2 \, A a^{2}}{\sqrt{x}}"," ",0,"2/17*B*b^2*x^(17/2) + 4/11*B*a*b*x^(11/2) + 2/11*A*b^2*x^(11/2) + 2/5*B*a^2*x^(5/2) + 4/5*A*a*b*x^(5/2) - 2*A*a^2/sqrt(x)","A",0
145,1,53,0,0.159842," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(5/2),x, algorithm=""giac"")","\frac{2}{15} \, B b^{2} x^{\frac{15}{2}} + \frac{4}{9} \, B a b x^{\frac{9}{2}} + \frac{2}{9} \, A b^{2} x^{\frac{9}{2}} + \frac{2}{3} \, B a^{2} x^{\frac{3}{2}} + \frac{4}{3} \, A a b x^{\frac{3}{2}} - \frac{2 \, A a^{2}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/15*B*b^2*x^(15/2) + 4/9*B*a*b*x^(9/2) + 2/9*A*b^2*x^(9/2) + 2/3*B*a^2*x^(3/2) + 4/3*A*a*b*x^(3/2) - 2/3*A*a^2/x^(3/2)","A",0
146,1,53,0,0.154837," ","integrate((b*x^3+a)^2*(B*x^3+A)/x^(7/2),x, algorithm=""giac"")","\frac{2}{13} \, B b^{2} x^{\frac{13}{2}} + \frac{4}{7} \, B a b x^{\frac{7}{2}} + \frac{2}{7} \, A b^{2} x^{\frac{7}{2}} + 2 \, B a^{2} \sqrt{x} + 4 \, A a b \sqrt{x} - \frac{2 \, A a^{2}}{5 \, x^{\frac{5}{2}}}"," ",0,"2/13*B*b^2*x^(13/2) + 4/7*B*a*b*x^(7/2) + 2/7*A*b^2*x^(7/2) + 2*B*a^2*sqrt(x) + 4*A*a*b*sqrt(x) - 2/5*A*a^2/x^(5/2)","A",0
147,1,77,0,0.164109," ","integrate(x^(7/2)*(b*x^3+a)^3*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{33} \, B b^{3} x^{\frac{33}{2}} + \frac{2}{9} \, B a b^{2} x^{\frac{27}{2}} + \frac{2}{27} \, A b^{3} x^{\frac{27}{2}} + \frac{2}{7} \, B a^{2} b x^{\frac{21}{2}} + \frac{2}{7} \, A a b^{2} x^{\frac{21}{2}} + \frac{2}{15} \, B a^{3} x^{\frac{15}{2}} + \frac{2}{5} \, A a^{2} b x^{\frac{15}{2}} + \frac{2}{9} \, A a^{3} x^{\frac{9}{2}}"," ",0,"2/33*B*b^3*x^(33/2) + 2/9*B*a*b^2*x^(27/2) + 2/27*A*b^3*x^(27/2) + 2/7*B*a^2*b*x^(21/2) + 2/7*A*a*b^2*x^(21/2) + 2/15*B*a^3*x^(15/2) + 2/5*A*a^2*b*x^(15/2) + 2/9*A*a^3*x^(9/2)","A",0
148,1,77,0,0.153966," ","integrate(x^(5/2)*(b*x^3+a)^3*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{31} \, B b^{3} x^{\frac{31}{2}} + \frac{6}{25} \, B a b^{2} x^{\frac{25}{2}} + \frac{2}{25} \, A b^{3} x^{\frac{25}{2}} + \frac{6}{19} \, B a^{2} b x^{\frac{19}{2}} + \frac{6}{19} \, A a b^{2} x^{\frac{19}{2}} + \frac{2}{13} \, B a^{3} x^{\frac{13}{2}} + \frac{6}{13} \, A a^{2} b x^{\frac{13}{2}} + \frac{2}{7} \, A a^{3} x^{\frac{7}{2}}"," ",0,"2/31*B*b^3*x^(31/2) + 6/25*B*a*b^2*x^(25/2) + 2/25*A*b^3*x^(25/2) + 6/19*B*a^2*b*x^(19/2) + 6/19*A*a*b^2*x^(19/2) + 2/13*B*a^3*x^(13/2) + 6/13*A*a^2*b*x^(13/2) + 2/7*A*a^3*x^(7/2)","A",0
149,1,77,0,0.169961," ","integrate(x^(3/2)*(b*x^3+a)^3*(B*x^3+A),x, algorithm=""giac"")","\frac{2}{29} \, B b^{3} x^{\frac{29}{2}} + \frac{6}{23} \, B a b^{2} x^{\frac{23}{2}} + \frac{2}{23} \, A b^{3} x^{\frac{23}{2}} + \frac{6}{17} \, B a^{2} b x^{\frac{17}{2}} + \frac{6}{17} \, A a b^{2} x^{\frac{17}{2}} + \frac{2}{11} \, B a^{3} x^{\frac{11}{2}} + \frac{6}{11} \, A a^{2} b x^{\frac{11}{2}} + \frac{2}{5} \, A a^{3} x^{\frac{5}{2}}"," ",0,"2/29*B*b^3*x^(29/2) + 6/23*B*a*b^2*x^(23/2) + 2/23*A*b^3*x^(23/2) + 6/17*B*a^2*b*x^(17/2) + 6/17*A*a*b^2*x^(17/2) + 2/11*B*a^3*x^(11/2) + 6/11*A*a^2*b*x^(11/2) + 2/5*A*a^3*x^(5/2)","A",0
150,1,77,0,0.155030," ","integrate((b*x^3+a)^3*(B*x^3+A)*x^(1/2),x, algorithm=""giac"")","\frac{2}{27} \, B b^{3} x^{\frac{27}{2}} + \frac{2}{7} \, B a b^{2} x^{\frac{21}{2}} + \frac{2}{21} \, A b^{3} x^{\frac{21}{2}} + \frac{2}{5} \, B a^{2} b x^{\frac{15}{2}} + \frac{2}{5} \, A a b^{2} x^{\frac{15}{2}} + \frac{2}{9} \, B a^{3} x^{\frac{9}{2}} + \frac{2}{3} \, A a^{2} b x^{\frac{9}{2}} + \frac{2}{3} \, A a^{3} x^{\frac{3}{2}}"," ",0,"2/27*B*b^3*x^(27/2) + 2/7*B*a*b^2*x^(21/2) + 2/21*A*b^3*x^(21/2) + 2/5*B*a^2*b*x^(15/2) + 2/5*A*a*b^2*x^(15/2) + 2/9*B*a^3*x^(9/2) + 2/3*A*a^2*b*x^(9/2) + 2/3*A*a^3*x^(3/2)","A",0
151,1,77,0,0.161481," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(1/2),x, algorithm=""giac"")","\frac{2}{25} \, B b^{3} x^{\frac{25}{2}} + \frac{6}{19} \, B a b^{2} x^{\frac{19}{2}} + \frac{2}{19} \, A b^{3} x^{\frac{19}{2}} + \frac{6}{13} \, B a^{2} b x^{\frac{13}{2}} + \frac{6}{13} \, A a b^{2} x^{\frac{13}{2}} + \frac{2}{7} \, B a^{3} x^{\frac{7}{2}} + \frac{6}{7} \, A a^{2} b x^{\frac{7}{2}} + 2 \, A a^{3} \sqrt{x}"," ",0,"2/25*B*b^3*x^(25/2) + 6/19*B*a*b^2*x^(19/2) + 2/19*A*b^3*x^(19/2) + 6/13*B*a^2*b*x^(13/2) + 6/13*A*a*b^2*x^(13/2) + 2/7*B*a^3*x^(7/2) + 6/7*A*a^2*b*x^(7/2) + 2*A*a^3*sqrt(x)","A",0
152,1,77,0,0.156088," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(3/2),x, algorithm=""giac"")","\frac{2}{23} \, B b^{3} x^{\frac{23}{2}} + \frac{6}{17} \, B a b^{2} x^{\frac{17}{2}} + \frac{2}{17} \, A b^{3} x^{\frac{17}{2}} + \frac{6}{11} \, B a^{2} b x^{\frac{11}{2}} + \frac{6}{11} \, A a b^{2} x^{\frac{11}{2}} + \frac{2}{5} \, B a^{3} x^{\frac{5}{2}} + \frac{6}{5} \, A a^{2} b x^{\frac{5}{2}} - \frac{2 \, A a^{3}}{\sqrt{x}}"," ",0,"2/23*B*b^3*x^(23/2) + 6/17*B*a*b^2*x^(17/2) + 2/17*A*b^3*x^(17/2) + 6/11*B*a^2*b*x^(11/2) + 6/11*A*a*b^2*x^(11/2) + 2/5*B*a^3*x^(5/2) + 6/5*A*a^2*b*x^(5/2) - 2*A*a^3/sqrt(x)","A",0
153,1,77,0,0.161166," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(5/2),x, algorithm=""giac"")","\frac{2}{21} \, B b^{3} x^{\frac{21}{2}} + \frac{2}{5} \, B a b^{2} x^{\frac{15}{2}} + \frac{2}{15} \, A b^{3} x^{\frac{15}{2}} + \frac{2}{3} \, B a^{2} b x^{\frac{9}{2}} + \frac{2}{3} \, A a b^{2} x^{\frac{9}{2}} + \frac{2}{3} \, B a^{3} x^{\frac{3}{2}} + 2 \, A a^{2} b x^{\frac{3}{2}} - \frac{2 \, A a^{3}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/21*B*b^3*x^(21/2) + 2/5*B*a*b^2*x^(15/2) + 2/15*A*b^3*x^(15/2) + 2/3*B*a^2*b*x^(9/2) + 2/3*A*a*b^2*x^(9/2) + 2/3*B*a^3*x^(3/2) + 2*A*a^2*b*x^(3/2) - 2/3*A*a^3/x^(3/2)","A",0
154,1,77,0,0.162826," ","integrate((b*x^3+a)^3*(B*x^3+A)/x^(7/2),x, algorithm=""giac"")","\frac{2}{19} \, B b^{3} x^{\frac{19}{2}} + \frac{6}{13} \, B a b^{2} x^{\frac{13}{2}} + \frac{2}{13} \, A b^{3} x^{\frac{13}{2}} + \frac{6}{7} \, B a^{2} b x^{\frac{7}{2}} + \frac{6}{7} \, A a b^{2} x^{\frac{7}{2}} + 2 \, B a^{3} \sqrt{x} + 6 \, A a^{2} b \sqrt{x} - \frac{2 \, A a^{3}}{5 \, x^{\frac{5}{2}}}"," ",0,"2/19*B*b^3*x^(19/2) + 6/13*B*a*b^2*x^(13/2) + 2/13*A*b^3*x^(13/2) + 6/7*B*a^2*b*x^(7/2) + 6/7*A*a*b^2*x^(7/2) + 2*B*a^3*sqrt(x) + 6*A*a^2*b*sqrt(x) - 2/5*A*a^3/x^(5/2)","A",0
155,1,64,0,0.171411," ","integrate(x^(7/2)*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\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^{2} x^{\frac{9}{2}} - 3 \, B a b x^{\frac{3}{2}} + 3 \, A b^{2} x^{\frac{3}{2}}\right)}}{9 \, b^{3}}"," ",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^2*x^(9/2) - 3*B*a*b*x^(3/2) + 3*A*b^2*x^(3/2))/b^3","A",0
156,1,289,0,0.211316," ","integrate(x^(5/2)*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, b^{3}} - \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, b^{3}} + \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, b^{3}} + \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, b^{3}} + \frac{2 \, {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, b^{3}} + \frac{2 \, {\left(B b^{6} x^{\frac{7}{2}} - 7 \, B a b^{5} \sqrt{x} + 7 \, A b^{6} \sqrt{x}\right)}}{7 \, b^{7}}"," ",0,"1/6*sqrt(3)*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/b^3 - 1/6*sqrt(3)*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/b^3 + 1/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/b^3 + 1/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/b^3 + 2/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/b^3 + 2/7*(B*b^6*x^(7/2) - 7*B*a*b^5*sqrt(x) + 7*A*b^6*sqrt(x))/b^7","A",0
157,1,280,0,1.350558," ","integrate(x^(3/2)*(B*x^3+A)/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, B x^{\frac{5}{2}}}{5 \, b} - \frac{2 \, {\left(B a \left(\frac{a}{b}\right)^{\frac{5}{6}} - A b \left(\frac{a}{b}\right)^{\frac{5}{6}}\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a b} + \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a b^{6}} - \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a b^{6}} - \frac{{\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a b^{6}} - \frac{{\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a b^{6}}"," ",0,"2/5*B*x^(5/2)/b - 2/3*(B*a*(a/b)^(5/6) - A*b*(a/b)^(5/6))*arctan(sqrt(x)/(a/b)^(1/6))/(a*b) + 1/6*sqrt(3)*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a*b^6) - 1/6*sqrt(3)*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a*b^6) - 1/3*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a*b^6) - 1/3*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a*b^6)","A",0
158,1,39,0,0.166003," ","integrate((B*x^3+A)*x^(1/2)/(b*x^3+a),x, algorithm=""giac"")","\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
159,1,280,0,0.213063," ","integrate((B*x^3+A)/(b*x^3+a)/x^(1/2),x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{b} - \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a b^{2}} + \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a b^{2}} - \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a b^{2}} - \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a b^{2}} - \frac{2 \, {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a b^{2}}"," ",0,"2*B*sqrt(x)/b - 1/6*sqrt(3)*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a*b^2) + 1/6*sqrt(3)*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a*b^2) - 1/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a*b^2) - 1/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a*b^2) - 2/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a*b^2)","A",0
160,1,280,0,0.407600," ","integrate((B*x^3+A)/x^(3/2)/(b*x^3+a),x, algorithm=""giac"")","-\frac{2 \, A}{a \sqrt{x}} - \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a^{2} b^{5}} + \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a^{2} b^{5}} + \frac{{\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a^{2} b^{5}} + \frac{{\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a^{2} b^{5}} + \frac{2 \, {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a^{2} b^{5}}"," ",0,"-2*A/(a*sqrt(x)) - 1/6*sqrt(3)*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^5) + 1/6*sqrt(3)*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^5) + 1/3*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^5) + 1/3*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^5) + 2/3*((a*b^5)^(5/6)*B*a - (a*b^5)^(5/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^2*b^5)","A",0
161,1,39,0,0.166192," ","integrate((B*x^3+A)/x^(5/2)/(b*x^3+a),x, algorithm=""giac"")","\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
162,1,280,0,0.214839," ","integrate((B*x^3+A)/x^(7/2)/(b*x^3+a),x, algorithm=""giac"")","\frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a^{2} b} - \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a^{2} b} + \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a^{2} b} + \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a^{2} b} + \frac{2 \, {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \, a^{2} b} - \frac{2 \, A}{5 \, a x^{\frac{5}{2}}}"," ",0,"1/6*sqrt(3)*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b) - 1/6*sqrt(3)*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b) + 1/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^2*b) + 1/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^2*b) + 2/3*((a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^2*b) - 2/5*A/(a*x^(5/2))","A",0
163,1,68,0,0.180702," ","integrate(x^(7/2)*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\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}} + \frac{B a x^{\frac{3}{2}} - A b x^{\frac{3}{2}}}{3 \, {\left(b x^{3} + a\right)} b^{2}}"," ",0,"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) + 1/3*(B*a*x^(3/2) - A*b*x^(3/2))/((b*x^3 + a)*b^2)","A",0
164,1,313,0,0.329539," ","integrate(x^(5/2)*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{b^{2}} - \frac{\sqrt{3} {\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a b^{3}} + \frac{\sqrt{3} {\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a b^{3}} + \frac{B a \sqrt{x} - A b \sqrt{x}}{3 \, {\left(b x^{3} + a\right)} b^{2}} - \frac{{\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a b^{3}} - \frac{{\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a b^{3}} - \frac{{\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{9 \, a b^{3}}"," ",0,"2*B*sqrt(x)/b^2 - 1/36*sqrt(3)*(7*(a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a*b^3) + 1/36*sqrt(3)*(7*(a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a*b^3) + 1/3*(B*a*sqrt(x) - A*b*sqrt(x))/((b*x^3 + a)*b^2) - 1/18*(7*(a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a*b^3) - 1/18*(7*(a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a*b^3) - 1/9*(7*(a*b^5)^(1/6)*B*a - (a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a*b^3)","A",0
165,1,302,0,1.377299," ","integrate(x^(3/2)*(B*x^3+A)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{{\left(5 \, B a \left(\frac{a}{b}\right)^{\frac{5}{6}} + A b \left(\frac{a}{b}\right)^{\frac{5}{6}}\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{9 \, a^{2} b} - \frac{B a x^{\frac{5}{2}} - A b x^{\frac{5}{2}}}{3 \, {\left(b x^{3} + a\right)} a b} - \frac{\sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{2} b^{6}} + \frac{\sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{2} b^{6}} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{2} b^{6}} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{2} b^{6}}"," ",0,"1/9*(5*B*a*(a/b)^(5/6) + A*b*(a/b)^(5/6))*arctan(sqrt(x)/(a/b)^(1/6))/(a^2*b) - 1/3*(B*a*x^(5/2) - A*b*x^(5/2))/((b*x^3 + a)*a*b) - 1/36*sqrt(3)*(5*(a*b^5)^(5/6)*B*a + (a*b^5)^(5/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^6) + 1/36*sqrt(3)*(5*(a*b^5)^(5/6)*B*a + (a*b^5)^(5/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^6) + 1/18*(5*(a*b^5)^(5/6)*B*a + (a*b^5)^(5/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^6) + 1/18*(5*(a*b^5)^(5/6)*B*a + (a*b^5)^(5/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^6)","A",0
166,1,63,0,0.284024," ","integrate((B*x^3+A)*x^(1/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\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} - \frac{B a x^{\frac{3}{2}} - A b x^{\frac{3}{2}}}{3 \, {\left(b x^{3} + a\right)} a b}"," ",0,"1/3*(B*a + A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a*b) - 1/3*(B*a*x^(3/2) - A*b*x^(3/2))/((b*x^3 + a)*a*b)","A",0
167,1,302,0,0.311064," ","integrate((B*x^3+A)/(b*x^3+a)^2/x^(1/2),x, algorithm=""giac"")","\frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{2} b^{2}} - \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{2} b^{2}} - \frac{B a \sqrt{x} - A b \sqrt{x}}{3 \, {\left(b x^{3} + a\right)} a b} + \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{2} b^{2}} + \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{2} b^{2}} + \frac{{\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{9 \, a^{2} b^{2}}"," ",0,"1/36*sqrt(3)*((a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^2) - 1/36*sqrt(3)*((a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^2) - 1/3*(B*a*sqrt(x) - A*b*sqrt(x))/((b*x^3 + a)*a*b) + 1/18*((a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^2) + 1/18*((a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^2) + 1/9*((a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^2*b^2)","A",0
168,1,307,0,0.468123," ","integrate((B*x^3+A)/x^(3/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{B a x^{3} - 7 \, A b x^{3} - 6 \, A a}{3 \, {\left(b x^{\frac{7}{2}} + a \sqrt{x}\right)} a^{2}} - \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{3} b^{5}} + \frac{\sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{3} b^{5}} + \frac{{\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{3} b^{5}} + \frac{{\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{3} b^{5}} + \frac{{\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{9 \, a^{3} b^{5}}"," ",0,"1/3*(B*a*x^3 - 7*A*b*x^3 - 6*A*a)/((b*x^(7/2) + a*sqrt(x))*a^2) - 1/36*sqrt(3)*((a*b^5)^(5/6)*B*a - 7*(a*b^5)^(5/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b^5) + 1/36*sqrt(3)*((a*b^5)^(5/6)*B*a - 7*(a*b^5)^(5/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b^5) + 1/18*((a*b^5)^(5/6)*B*a - 7*(a*b^5)^(5/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^3*b^5) + 1/18*((a*b^5)^(5/6)*B*a - 7*(a*b^5)^(5/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^3*b^5) + 1/9*((a*b^5)^(5/6)*B*a - 7*(a*b^5)^(5/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^3*b^5)","A",0
169,1,66,0,0.161011," ","integrate((B*x^3+A)/x^(5/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\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}} + \frac{B a x^{3} - 3 \, A b x^{3} - 2 \, A a}{3 \, {\left(b x^{\frac{9}{2}} + a x^{\frac{3}{2}}\right)} a^{2}}"," ",0,"1/3*(B*a - 3*A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/3*(B*a*x^3 - 3*A*b*x^3 - 2*A*a)/((b*x^(9/2) + a*x^(3/2))*a^2)","A",0
170,1,313,0,0.219442," ","integrate((B*x^3+A)/x^(7/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{\sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{3} b} - \frac{\sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{36 \, a^{3} b} + \frac{B a \sqrt{x} - A b \sqrt{x}}{3 \, {\left(b x^{3} + a\right)} a^{2}} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{3} b} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \, a^{3} b} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{9 \, a^{3} b} - \frac{2 \, A}{5 \, a^{2} x^{\frac{5}{2}}}"," ",0,"1/36*sqrt(3)*(5*(a*b^5)^(1/6)*B*a - 11*(a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b) - 1/36*sqrt(3)*(5*(a*b^5)^(1/6)*B*a - 11*(a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b) + 1/3*(B*a*sqrt(x) - A*b*sqrt(x))/((b*x^3 + a)*a^2) + 1/18*(5*(a*b^5)^(1/6)*B*a - 11*(a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^3*b) + 1/18*(5*(a*b^5)^(1/6)*B*a - 11*(a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^3*b) + 1/9*(5*(a*b^5)^(1/6)*B*a - 11*(a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^3*b) - 2/5*A/(a^2*x^(5/2))","A",0
171,1,84,0,0.206413," ","integrate(x^(7/2)*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\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}} - \frac{5 \, B a b x^{\frac{9}{2}} - A b^{2} x^{\frac{9}{2}} + 3 \, B a^{2} x^{\frac{3}{2}} + A a b x^{\frac{3}{2}}}{12 \, {\left(b x^{3} + a\right)}^{2} a b^{2}}"," ",0,"1/12*(3*B*a + A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a*b^2) - 1/12*(5*B*a*b*x^(9/2) - A*b^2*x^(9/2) + 3*B*a^2*x^(3/2) + A*a*b*x^(3/2))/((b*x^3 + a)^2*a*b^2)","A",0
172,1,328,0,0.232317," ","integrate(x^(5/2)*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{\sqrt{3} {\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{2} b^{3}} - \frac{\sqrt{3} {\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{2} b^{3}} + \frac{{\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{2} b^{3}} + \frac{{\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{2} b^{3}} + \frac{{\left(7 \, \left(a b^{5}\right)^{\frac{1}{6}} B a + 5 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{108 \, a^{2} b^{3}} - \frac{13 \, B a b x^{\frac{7}{2}} - A b^{2} x^{\frac{7}{2}} + 7 \, B a^{2} \sqrt{x} + 5 \, A a b \sqrt{x}}{36 \, {\left(b x^{3} + a\right)}^{2} a b^{2}}"," ",0,"1/432*sqrt(3)*(7*(a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^3) - 1/432*sqrt(3)*(7*(a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^2*b^3) + 1/216*(7*(a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^3) + 1/216*(7*(a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^2*b^3) + 1/108*(7*(a*b^5)^(1/6)*B*a + 5*(a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^2*b^3) - 1/36*(13*B*a*b*x^(7/2) - A*b^2*x^(7/2) + 7*B*a^2*sqrt(x) + 5*A*a*b*sqrt(x))/((b*x^3 + a)^2*a*b^2)","A",0
173,1,328,0,0.368485," ","integrate(x^(3/2)*(B*x^3+A)/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{5 \, B a b x^{\frac{11}{2}} + 7 \, A b^{2} x^{\frac{11}{2}} - B a^{2} x^{\frac{5}{2}} + 13 \, A a b x^{\frac{5}{2}}}{36 \, {\left(b x^{3} + a\right)}^{2} a^{2} b} - \frac{\sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{3} b^{6}} + \frac{\sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{3} b^{6}} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{3} b^{6}} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{3} b^{6}} + \frac{{\left(5 \, \left(a b^{5}\right)^{\frac{5}{6}} B a + 7 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{108 \, a^{3} b^{6}}"," ",0,"1/36*(5*B*a*b*x^(11/2) + 7*A*b^2*x^(11/2) - B*a^2*x^(5/2) + 13*A*a*b*x^(5/2))/((b*x^3 + a)^2*a^2*b) - 1/432*sqrt(3)*(5*(a*b^5)^(5/6)*B*a + 7*(a*b^5)^(5/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b^6) + 1/432*sqrt(3)*(5*(a*b^5)^(5/6)*B*a + 7*(a*b^5)^(5/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b^6) + 1/216*(5*(a*b^5)^(5/6)*B*a + 7*(a*b^5)^(5/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^3*b^6) + 1/216*(5*(a*b^5)^(5/6)*B*a + 7*(a*b^5)^(5/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^3*b^6) + 1/108*(5*(a*b^5)^(5/6)*B*a + 7*(a*b^5)^(5/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^3*b^6)","A",0
174,1,84,0,0.180483," ","integrate((B*x^3+A)*x^(1/2)/(b*x^3+a)^3,x, algorithm=""giac"")","\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} + \frac{B a b x^{\frac{9}{2}} + 3 \, A b^{2} x^{\frac{9}{2}} - B a^{2} x^{\frac{3}{2}} + 5 \, A a b x^{\frac{3}{2}}}{12 \, {\left(b x^{3} + a\right)}^{2} a^{2} b}"," ",0,"1/12*(B*a + 3*A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a^2*b) + 1/12*(B*a*b*x^(9/2) + 3*A*b^2*x^(9/2) - B*a^2*x^(3/2) + 5*A*a*b*x^(3/2))/((b*x^3 + a)^2*a^2*b)","A",0
175,1,322,0,0.235275," ","integrate((B*x^3+A)/(b*x^3+a)^3/x^(1/2),x, algorithm=""giac"")","\frac{5 \, \sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{3} b^{2}} - \frac{5 \, \sqrt{3} {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{3} b^{2}} + \frac{5 \, {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{3} b^{2}} + \frac{5 \, {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{3} b^{2}} + \frac{5 \, {\left(\left(a b^{5}\right)^{\frac{1}{6}} B a + 11 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{108 \, a^{3} b^{2}} + \frac{B a b x^{\frac{7}{2}} + 11 \, A b^{2} x^{\frac{7}{2}} - 5 \, B a^{2} \sqrt{x} + 17 \, A a b \sqrt{x}}{36 \, {\left(b x^{3} + a\right)}^{2} a^{2} b}"," ",0,"5/432*sqrt(3)*((a*b^5)^(1/6)*B*a + 11*(a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b^2) - 5/432*sqrt(3)*((a*b^5)^(1/6)*B*a + 11*(a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^3*b^2) + 5/216*((a*b^5)^(1/6)*B*a + 11*(a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^3*b^2) + 5/216*((a*b^5)^(1/6)*B*a + 11*(a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^3*b^2) + 5/108*((a*b^5)^(1/6)*B*a + 11*(a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^3*b^2) + 1/36*(B*a*b*x^(7/2) + 11*A*b^2*x^(7/2) - 5*B*a^2*sqrt(x) + 17*A*a*b*sqrt(x))/((b*x^3 + a)^2*a^2*b)","A",0
176,1,329,0,0.481864," ","integrate((B*x^3+A)/x^(3/2)/(b*x^3+a)^3,x, algorithm=""giac"")","-\frac{2 \, A}{a^{3} \sqrt{x}} + \frac{7 \, B a b x^{\frac{11}{2}} - 19 \, A b^{2} x^{\frac{11}{2}} + 13 \, B a^{2} x^{\frac{5}{2}} - 25 \, A a b x^{\frac{5}{2}}}{36 \, {\left(b x^{3} + a\right)}^{2} a^{3}} - \frac{7 \, \sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 13 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{4} b^{5}} + \frac{7 \, \sqrt{3} {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 13 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{4} b^{5}} + \frac{7 \, {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 13 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{4} b^{5}} + \frac{7 \, {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 13 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{4} b^{5}} + \frac{7 \, {\left(\left(a b^{5}\right)^{\frac{5}{6}} B a - 13 \, \left(a b^{5}\right)^{\frac{5}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{108 \, a^{4} b^{5}}"," ",0,"-2*A/(a^3*sqrt(x)) + 1/36*(7*B*a*b*x^(11/2) - 19*A*b^2*x^(11/2) + 13*B*a^2*x^(5/2) - 25*A*a*b*x^(5/2))/((b*x^3 + a)^2*a^3) - 7/432*sqrt(3)*((a*b^5)^(5/6)*B*a - 13*(a*b^5)^(5/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^4*b^5) + 7/432*sqrt(3)*((a*b^5)^(5/6)*B*a - 13*(a*b^5)^(5/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^4*b^5) + 7/216*((a*b^5)^(5/6)*B*a - 13*(a*b^5)^(5/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^4*b^5) + 7/216*((a*b^5)^(5/6)*B*a - 13*(a*b^5)^(5/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^4*b^5) + 7/108*((a*b^5)^(5/6)*B*a - 13*(a*b^5)^(5/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^4*b^5)","A",0
177,1,88,0,0.182328," ","integrate((B*x^3+A)/x^(5/2)/(b*x^3+a)^3,x, algorithm=""giac"")","\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}} - \frac{2 \, A}{3 \, a^{3} x^{\frac{3}{2}}} + \frac{3 \, B a b x^{\frac{9}{2}} - 7 \, A b^{2} x^{\frac{9}{2}} + 5 \, B a^{2} x^{\frac{3}{2}} - 9 \, A a b x^{\frac{3}{2}}}{12 \, {\left(b x^{3} + a\right)}^{2} a^{3}}"," ",0,"1/4*(B*a - 5*A*b)*arctan(b*x^(3/2)/sqrt(a*b))/(sqrt(a*b)*a^3) - 2/3*A/(a^3*x^(3/2)) + 1/12*(3*B*a*b*x^(9/2) - 7*A*b^2*x^(9/2) + 5*B*a^2*x^(3/2) - 9*A*a*b*x^(3/2))/((b*x^3 + a)^2*a^3)","A",0
178,1,334,0,0.240634," ","integrate((B*x^3+A)/x^(7/2)/(b*x^3+a)^3,x, algorithm=""giac"")","\frac{11 \, \sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 17 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{4} b} - \frac{11 \, \sqrt{3} {\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 17 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \log\left(-\sqrt{3} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{6}} + x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{432 \, a^{4} b} + \frac{11 \, {\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 17 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} + 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{4} b} + \frac{11 \, {\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 17 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(-\frac{\sqrt{3} \left(\frac{a}{b}\right)^{\frac{1}{6}} - 2 \, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{216 \, a^{4} b} + \frac{11 \, {\left(5 \, \left(a b^{5}\right)^{\frac{1}{6}} B a - 17 \, \left(a b^{5}\right)^{\frac{1}{6}} A b\right)} \arctan\left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{108 \, a^{4} b} + \frac{11 \, B a b x^{\frac{7}{2}} - 23 \, A b^{2} x^{\frac{7}{2}} + 17 \, B a^{2} \sqrt{x} - 29 \, A a b \sqrt{x}}{36 \, {\left(b x^{3} + a\right)}^{2} a^{3}} - \frac{2 \, A}{5 \, a^{3} x^{\frac{5}{2}}}"," ",0,"11/432*sqrt(3)*(5*(a*b^5)^(1/6)*B*a - 17*(a*b^5)^(1/6)*A*b)*log(sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^4*b) - 11/432*sqrt(3)*(5*(a*b^5)^(1/6)*B*a - 17*(a*b^5)^(1/6)*A*b)*log(-sqrt(3)*sqrt(x)*(a/b)^(1/6) + x + (a/b)^(1/3))/(a^4*b) + 11/216*(5*(a*b^5)^(1/6)*B*a - 17*(a*b^5)^(1/6)*A*b)*arctan((sqrt(3)*(a/b)^(1/6) + 2*sqrt(x))/(a/b)^(1/6))/(a^4*b) + 11/216*(5*(a*b^5)^(1/6)*B*a - 17*(a*b^5)^(1/6)*A*b)*arctan(-(sqrt(3)*(a/b)^(1/6) - 2*sqrt(x))/(a/b)^(1/6))/(a^4*b) + 11/108*(5*(a*b^5)^(1/6)*B*a - 17*(a*b^5)^(1/6)*A*b)*arctan(sqrt(x)/(a/b)^(1/6))/(a^4*b) + 1/36*(11*B*a*b*x^(7/2) - 23*A*b^2*x^(7/2) + 17*B*a^2*sqrt(x) - 29*A*a*b*sqrt(x))/((b*x^3 + a)^2*a^3) - 2/5*A/(a^3*x^(5/2))","A",0
179,1,104,0,0.159270," ","integrate(x^8*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}} B - 135 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} B a + 189 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B a^{2} - 105 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a^{3} + 45 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} A b - 126 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} A a b + 105 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A a^{2} b\right)}}{945 \, b^{4}}"," ",0,"2/945*(35*(b*x^3 + a)^(9/2)*B - 135*(b*x^3 + a)^(7/2)*B*a + 189*(b*x^3 + a)^(5/2)*B*a^2 - 105*(b*x^3 + a)^(3/2)*B*a^3 + 45*(b*x^3 + a)^(7/2)*A*b - 126*(b*x^3 + a)^(5/2)*A*a*b + 105*(b*x^3 + a)^(3/2)*A*a^2*b)/b^4","A",0
180,1,73,0,0.175076," ","integrate(x^5*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(15 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} B - 42 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B a + 35 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a^{2} + 21 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} A b - 35 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A a b\right)}}{315 \, b^{3}}"," ",0,"2/315*(15*(b*x^3 + a)^(7/2)*B - 42*(b*x^3 + a)^(5/2)*B*a + 35*(b*x^3 + a)^(3/2)*B*a^2 + 21*(b*x^3 + a)^(5/2)*A*b - 35*(b*x^3 + a)^(3/2)*A*a*b)/b^3","A",0
181,1,44,0,0.152870," ","integrate(x^2*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B - 5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a + 5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b\right)}}{45 \, b^{2}}"," ",0,"2/45*(3*(b*x^3 + a)^(5/2)*B - 5*(b*x^3 + a)^(3/2)*B*a + 5*(b*x^3 + a)^(3/2)*A*b)/b^2","A",0
182,1,61,0,0.153288," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, A a \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a}} + \frac{2 \, {\left({\left(b x^{3} + a\right)}^{\frac{3}{2}} B b^{2} + 3 \, \sqrt{b x^{3} + a} A b^{3}\right)}}{9 \, b^{3}}"," ",0,"2/3*A*a*arctan(sqrt(b*x^3 + a)/sqrt(-a))/sqrt(-a) + 2/9*((b*x^3 + a)^(3/2)*B*b^2 + 3*sqrt(b*x^3 + a)*A*b^3)/b^3","A",0
183,1,68,0,0.168160," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^4,x, algorithm=""giac"")","\frac{2 \, \sqrt{b x^{3} + a} B b + \frac{{\left(2 \, B a b + A b^{2}\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{\sqrt{b x^{3} + a} A b}{x^{3}}}{3 \, b}"," ",0,"1/3*(2*sqrt(b*x^3 + a)*B*b + (2*B*a*b + A*b^2)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/sqrt(-a) - sqrt(b*x^3 + a)*A*b/x^3)/b","A",0
184,1,120,0,0.199963," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^7,x, algorithm=""giac"")","\frac{\frac{{\left(4 \, B a b^{2} - A b^{3}\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a b^{2} - 4 \, \sqrt{b x^{3} + a} B a^{2} b^{2} + {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b^{3} + \sqrt{b x^{3} + a} A a b^{3}}{a b^{2} x^{6}}}{12 \, b}"," ",0,"1/12*((4*B*a*b^2 - A*b^3)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a) - (4*(b*x^3 + a)^(3/2)*B*a*b^2 - 4*sqrt(b*x^3 + a)*B*a^2*b^2 + (b*x^3 + a)^(3/2)*A*b^3 + sqrt(b*x^3 + a)*A*a*b^3)/(a*b^2*x^6))/b","A",0
185,0,0,0,0.000000," ","integrate(x^3*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
196,1,104,0,0.162411," ","integrate(x^8*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, {\left(b x^{3} + a\right)}^{\frac{11}{2}} B - 1155 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}} B a + 1485 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} B a^{2} - 693 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B a^{3} + 385 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}} A b - 990 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} A a b + 693 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} A a^{2} b\right)}}{10395 \, b^{4}}"," ",0,"2/10395*(315*(b*x^3 + a)^(11/2)*B - 1155*(b*x^3 + a)^(9/2)*B*a + 1485*(b*x^3 + a)^(7/2)*B*a^2 - 693*(b*x^3 + a)^(5/2)*B*a^3 + 385*(b*x^3 + a)^(9/2)*A*b - 990*(b*x^3 + a)^(7/2)*A*a*b + 693*(b*x^3 + a)^(5/2)*A*a^2*b)/b^4","A",0
197,1,73,0,0.181657," ","integrate(x^5*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}} B - 90 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} B a + 63 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B a^{2} + 45 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} A b - 63 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} A a b\right)}}{945 \, b^{3}}"," ",0,"2/945*(35*(b*x^3 + a)^(9/2)*B - 90*(b*x^3 + a)^(7/2)*B*a + 63*(b*x^3 + a)^(5/2)*B*a^2 + 45*(b*x^3 + a)^(7/2)*A*b - 63*(b*x^3 + a)^(5/2)*A*a*b)/b^3","A",0
198,1,44,0,0.166059," ","integrate(x^2*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""giac"")","\frac{2 \, {\left(5 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} B - 7 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B a + 7 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} A b\right)}}{105 \, b^{2}}"," ",0,"2/105*(5*(b*x^3 + a)^(7/2)*B - 7*(b*x^3 + a)^(5/2)*B*a + 7*(b*x^3 + a)^(5/2)*A*b)/b^2","A",0
199,1,80,0,0.164659," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x,x, algorithm=""giac"")","\frac{2 \, A a^{2} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a}} + \frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B b^{4} + 5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b^{5} + 15 \, \sqrt{b x^{3} + a} A a b^{5}\right)}}{45 \, b^{5}}"," ",0,"2/3*A*a^2*arctan(sqrt(b*x^3 + a)/sqrt(-a))/sqrt(-a) + 2/45*(3*(b*x^3 + a)^(5/2)*B*b^4 + 5*(b*x^3 + a)^(3/2)*A*b^5 + 15*sqrt(b*x^3 + a)*A*a*b^5)/b^5","A",0
200,1,103,0,0.202341," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^4,x, algorithm=""giac"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B b + 6 \, \sqrt{b x^{3} + a} B a b + 6 \, \sqrt{b x^{3} + a} A b^{2} + \frac{3 \, {\left(2 \, B a^{2} b + 3 \, A a b^{2}\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{3 \, \sqrt{b x^{3} + a} A a b}{x^{3}}}{9 \, b}"," ",0,"1/9*(2*(b*x^3 + a)^(3/2)*B*b + 6*sqrt(b*x^3 + a)*B*a*b + 6*sqrt(b*x^3 + a)*A*b^2 + 3*(2*B*a^2*b + 3*A*a*b^2)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/sqrt(-a) - 3*sqrt(b*x^3 + a)*A*a*b/x^3)/b","A",0
201,1,131,0,0.184542," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/x^7,x, algorithm=""giac"")","\frac{8 \, \sqrt{b x^{3} + a} B b^{2} + \frac{3 \, {\left(4 \, B a b^{2} + A b^{3}\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a b^{2} - 4 \, \sqrt{b x^{3} + a} B a^{2} b^{2} + 5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b^{3} - 3 \, \sqrt{b x^{3} + a} A a b^{3}}{b^{2} x^{6}}}{12 \, b}"," ",0,"1/12*(8*sqrt(b*x^3 + a)*B*b^2 + 3*(4*B*a*b^2 + A*b^3)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/sqrt(-a) - (4*(b*x^3 + a)^(3/2)*B*a*b^2 - 4*sqrt(b*x^3 + a)*B*a^2*b^2 + 5*(b*x^3 + a)^(3/2)*A*b^3 - 3*sqrt(b*x^3 + a)*A*a*b^3)/(b^2*x^6))/b","A",0
202,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
213,1,101,0,0.160274," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B a^{3} - A a^{2} b\right)} \sqrt{b x^{3} + a}}{3 \, b^{4}} + \frac{2 \, {\left(15 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} B - 63 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B a + 105 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a^{2} + 21 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} A b - 70 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A a b\right)}}{315 \, b^{4}}"," ",0,"-2/3*(B*a^3 - A*a^2*b)*sqrt(b*x^3 + a)/b^4 + 2/315*(15*(b*x^3 + a)^(7/2)*B - 63*(b*x^3 + a)^(5/2)*B*a + 105*(b*x^3 + a)^(3/2)*B*a^2 + 21*(b*x^3 + a)^(5/2)*A*b - 70*(b*x^3 + a)^(3/2)*A*a*b)/b^4","A",0
214,1,70,0,0.160083," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x^{3} + a} {\left(B a^{2} - A a b\right)}}{3 \, b^{3}} + \frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B - 10 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a + 5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b\right)}}{45 \, b^{3}}"," ",0,"2/3*sqrt(b*x^3 + a)*(B*a^2 - A*a*b)/b^3 + 2/45*(3*(b*x^3 + a)^(5/2)*B - 10*(b*x^3 + a)^(3/2)*B*a + 5*(b*x^3 + a)^(3/2)*A*b)/b^3","A",0
215,1,38,0,0.157115," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B}{9 \, b^{2}} - \frac{2 \, \sqrt{b x^{3} + a} {\left(B a - A b\right)}}{3 \, b^{2}}"," ",0,"2/9*(b*x^3 + a)^(3/2)*B/b^2 - 2/3*sqrt(b*x^3 + a)*(B*a - A*b)/b^2","A",0
216,1,40,0,0.187169," ","integrate((B*x^3+A)/x/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a}} + \frac{2 \, \sqrt{b x^{3} + a} B}{3 \, b}"," ",0,"2/3*A*arctan(sqrt(b*x^3 + a)/sqrt(-a))/sqrt(-a) + 2/3*sqrt(b*x^3 + a)*B/b","A",0
217,1,62,0,0.160610," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{{\left(2 \, B a b - A b^{2}\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} - \frac{\sqrt{b x^{3} + a} A b}{a x^{3}}}{3 \, b}"," ",0,"1/3*((2*B*a*b - A*b^2)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a) - sqrt(b*x^3 + a)*A*b/(a*x^3))/b","A",0
218,1,121,0,0.193649," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, B a b^{2} - 3 \, A b^{3}\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a b^{2} - 4 \, \sqrt{b x^{3} + a} B a^{2} b^{2} - 3 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b^{3} + 5 \, \sqrt{b x^{3} + a} A a b^{3}}{a^{2} b^{2} x^{6}}}{12 \, b}"," ",0,"-1/12*((4*B*a*b^2 - 3*A*b^3)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a^2) + (4*(b*x^3 + a)^(3/2)*B*a*b^2 - 4*sqrt(b*x^3 + a)*B*a^2*b^2 - 3*(b*x^3 + a)^(3/2)*A*b^3 + 5*sqrt(b*x^3 + a)*A*a*b^3)/(a^2*b^2*x^6))/b","A",0
219,0,0,0,0.000000," ","integrate(x^3*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
228,1,114,0,0.174976," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(B a^{3} - A a^{2} b\right)}}{3 \, \sqrt{b x^{3} + a} b^{4}} + \frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} B b^{16} - 15 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a b^{16} + 45 \, \sqrt{b x^{3} + a} B a^{2} b^{16} + 5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b^{17} - 30 \, \sqrt{b x^{3} + a} A a b^{17}\right)}}{45 \, b^{20}}"," ",0,"2/3*(B*a^3 - A*a^2*b)/(sqrt(b*x^3 + a)*b^4) + 2/45*(3*(b*x^3 + a)^(5/2)*B*b^16 - 15*(b*x^3 + a)^(3/2)*B*a*b^16 + 45*sqrt(b*x^3 + a)*B*a^2*b^16 + 5*(b*x^3 + a)^(3/2)*A*b^17 - 30*sqrt(b*x^3 + a)*A*a*b^17)/b^20","A",0
229,1,77,0,0.176389," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B a^{2} - A a b\right)}}{3 \, \sqrt{b x^{3} + a} b^{3}} + \frac{2 \, {\left({\left(b x^{3} + a\right)}^{\frac{3}{2}} B b^{6} - 6 \, \sqrt{b x^{3} + a} B a b^{6} + 3 \, \sqrt{b x^{3} + a} A b^{7}\right)}}{9 \, b^{9}}"," ",0,"-2/3*(B*a^2 - A*a*b)/(sqrt(b*x^3 + a)*b^3) + 2/9*((b*x^3 + a)^(3/2)*B*b^6 - 6*sqrt(b*x^3 + a)*B*a*b^6 + 3*sqrt(b*x^3 + a)*A*b^7)/b^9","A",0
230,1,38,0,0.176531," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x^{3} + a} B}{3 \, b^{2}} + \frac{2 \, {\left(B a - A b\right)}}{3 \, \sqrt{b x^{3} + a} b^{2}}"," ",0,"2/3*sqrt(b*x^3 + a)*B/b^2 + 2/3*(B*a - A*b)/(sqrt(b*x^3 + a)*b^2)","A",0
231,1,53,0,0.162335," ","integrate((B*x^3+A)/x/(b*x^3+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a} a} - \frac{2 \, {\left(B a - A b\right)}}{3 \, \sqrt{b x^{3} + a} a b}"," ",0,"2/3*A*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a) - 2/3*(B*a - A*b)/(sqrt(b*x^3 + a)*a*b)","A",0
232,1,99,0,0.168110," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^(3/2),x, algorithm=""giac"")","\frac{{\left(2 \, B a - 3 \, A b\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a} a^{2}} + \frac{2 \, {\left(b x^{3} + a\right)} B a - 2 \, B a^{2} - 3 \, {\left(b x^{3} + a\right)} A b + 2 \, A a b}{3 \, {\left({\left(b x^{3} + a\right)}^{\frac{3}{2}} - \sqrt{b x^{3} + a} a\right)} a^{2}}"," ",0,"1/3*(2*B*a - 3*A*b)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a^2) + 1/3*(2*(b*x^3 + a)*B*a - 2*B*a^2 - 3*(b*x^3 + a)*A*b + 2*A*a*b)/(((b*x^3 + a)^(3/2) - sqrt(b*x^3 + a)*a)*a^2)","A",0
233,1,137,0,0.177793," ","integrate((B*x^3+A)/x^7/(b*x^3+a)^(3/2),x, algorithm=""giac"")","-\frac{{\left(4 \, B a b - 5 \, A b^{2}\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a^{3}} - \frac{2 \, {\left(B a b - A b^{2}\right)}}{3 \, \sqrt{b x^{3} + a} a^{3}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} B a b - 4 \, \sqrt{b x^{3} + a} B a^{2} b - 7 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} A b^{2} + 9 \, \sqrt{b x^{3} + a} A a b^{2}}{12 \, a^{3} b^{2} x^{6}}"," ",0,"-1/4*(4*B*a*b - 5*A*b^2)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a^3) - 2/3*(B*a*b - A*b^2)/(sqrt(b*x^3 + a)*a^3) - 1/12*(4*(b*x^3 + a)^(3/2)*B*a*b - 4*sqrt(b*x^3 + a)*B*a^2*b - 7*(b*x^3 + a)^(3/2)*A*b^2 + 9*sqrt(b*x^3 + a)*A*a*b^2)/(a^3*b^2*x^6)","A",0
234,0,0,0,0.000000," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
244,1,104,0,0.165508," ","integrate(x^8*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(9 \, {\left(b x^{3} + a\right)} B a^{2} - B a^{3} - 6 \, {\left(b x^{3} + a\right)} A a b + A a^{2} b\right)}}{9 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{4}} + \frac{2 \, {\left({\left(b x^{3} + a\right)}^{\frac{3}{2}} B b^{8} - 9 \, \sqrt{b x^{3} + a} B a b^{8} + 3 \, \sqrt{b x^{3} + a} A b^{9}\right)}}{9 \, b^{12}}"," ",0,"-2/9*(9*(b*x^3 + a)*B*a^2 - B*a^3 - 6*(b*x^3 + a)*A*a*b + A*a^2*b)/((b*x^3 + a)^(3/2)*b^4) + 2/9*((b*x^3 + a)^(3/2)*B*b^8 - 9*sqrt(b*x^3 + a)*B*a*b^8 + 3*sqrt(b*x^3 + a)*A*b^9)/b^12","A",0
245,1,63,0,0.199022," ","integrate(x^5*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x^{3} + a} B}{3 \, b^{3}} + \frac{2 \, {\left(6 \, {\left(b x^{3} + a\right)} B a - B a^{2} - 3 \, {\left(b x^{3} + a\right)} A b + A a b\right)}}{9 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"2/3*sqrt(b*x^3 + a)*B/b^3 + 2/9*(6*(b*x^3 + a)*B*a - B*a^2 - 3*(b*x^3 + a)*A*b + A*a*b)/((b*x^3 + a)^(3/2)*b^3)","A",0
246,1,32,0,0.161713," ","integrate(x^2*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)} B - B a + A b\right)}}{9 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"-2/9*(3*(b*x^3 + a)*B - B*a + A*b)/((b*x^3 + a)^(3/2)*b^2)","A",0
247,1,67,0,0.168034," ","integrate((B*x^3+A)/x/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a} a^{2}} - \frac{2 \, {\left(B a^{2} - 3 \, {\left(b x^{3} + a\right)} A b - A a b\right)}}{9 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2} b}"," ",0,"2/3*A*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a^2) - 2/9*(B*a^2 - 3*(b*x^3 + a)*A*b - A*a*b)/((b*x^3 + a)^(3/2)*a^2*b)","A",0
248,1,101,0,0.186356," ","integrate((B*x^3+A)/x^4/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\frac{{\left(2 \, B a - 5 \, A b\right)} \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a} a^{3}} + \frac{2 \, {\left(3 \, {\left(b x^{3} + a\right)} B a + B a^{2} - 6 \, {\left(b x^{3} + a\right)} A b - A a b\right)}}{9 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{3}} - \frac{\sqrt{b x^{3} + a} A}{3 \, a^{3} x^{3}}"," ",0,"1/3*(2*B*a - 5*A*b)*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a^3) + 2/9*(3*(b*x^3 + a)*B*a + B*a^2 - 6*(b*x^3 + a)*A*b - A*a*b)/((b*x^3 + a)^(3/2)*a^3) - 1/3*sqrt(b*x^3 + a)*A/(a^3*x^3)","A",0
249,0,0,0,0.000000," ","integrate(x^6*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
259,1,82,0,0.169498," ","integrate(x^8*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""giac"")","-\frac{32 \, \sqrt{3} c^{\frac{5}{2}} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{3 \, d^{3}} + \frac{2 \, {\left(3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} d^{12} - 25 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c d^{12} + 240 \, \sqrt{d x^{3} + c} c^{2} d^{12}\right)}}{45 \, d^{15}}"," ",0,"-32/3*sqrt(3)*c^(5/2)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/d^3 + 2/45*(3*(d*x^3 + c)^(5/2)*d^12 - 25*(d*x^3 + c)^(3/2)*c*d^12 + 240*sqrt(d*x^3 + c)*c^2*d^12)/d^15","A",0
260,1,64,0,0.191938," ","integrate(x^5*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""giac"")","\frac{8 \, \sqrt{3} c^{\frac{3}{2}} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{3 \, d^{2}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{4} - 12 \, \sqrt{d x^{3} + c} c d^{4}\right)}}{9 \, d^{6}}"," ",0,"8/3*sqrt(3)*c^(3/2)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/d^2 + 2/9*((d*x^3 + c)^(3/2)*d^4 - 12*sqrt(d*x^3 + c)*c*d^4)/d^6","A",0
261,1,44,0,0.158988," ","integrate(x^2*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""giac"")","-\frac{2 \, \sqrt{3} \sqrt{c} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{3 \, d} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, d}"," ",0,"-2/3*sqrt(3)*sqrt(c)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/d + 2/3*sqrt(d*x^3 + c)/d","A",0
262,1,50,0,0.164919," ","integrate((d*x^3+c)^(1/2)/x/(d*x^3+4*c),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{6 \, \sqrt{c}} + \frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{6 \, \sqrt{-c}}"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/sqrt(c) + 1/6*arctan(sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c)","A",0
263,1,72,0,0.172166," ","integrate((d*x^3+c)^(1/2)/x^4/(d*x^3+4*c),x, algorithm=""giac"")","-\frac{\sqrt{3} d \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{24 \, c^{\frac{3}{2}}} + \frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{24 \, \sqrt{-c} c} - \frac{\sqrt{d x^{3} + c}}{12 \, c x^{3}}"," ",0,"-1/24*sqrt(3)*d*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/c^(3/2) + 1/24*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 1/12*sqrt(d*x^3 + c)/(c*x^3)","A",0
264,0,0,0,0.000000," ","integrate(x^4*(d*x^3+c)^(1/2)/(d*x^3+4*c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
270,1,64,0,0.158142," ","integrate(x^8/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{32 \, \sqrt{3} c^{\frac{3}{2}} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{9 \, d^{3}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{6} - 15 \, \sqrt{d x^{3} + c} c d^{6}\right)}}{9 \, d^{9}}"," ",0,"32/9*sqrt(3)*c^(3/2)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/d^3 + 2/9*((d*x^3 + c)^(3/2)*d^6 - 15*sqrt(d*x^3 + c)*c*d^6)/d^9","A",0
271,1,49,0,0.156235," ","integrate(x^5/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{4 \, \sqrt{3} \sqrt{c} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{d} - \frac{3 \, \sqrt{d x^{3} + c}}{d}\right)}}{9 \, d}"," ",0,"-2/9*(4*sqrt(3)*sqrt(c)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/d - 3*sqrt(d*x^3 + c)/d)/d","A",0
272,1,29,0,0.183380," ","integrate(x^2/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\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
273,1,53,0,0.166966," ","integrate(1/x/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{18 \, c^{\frac{3}{2}}} + \frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{6 \, \sqrt{-c} c}"," ",0,"-1/18*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/c^(3/2) + 1/6*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c)","A",0
274,1,72,0,0.158143," ","integrate(1/x^4/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{3} d \arctan\left(\frac{\sqrt{3} \sqrt{d x^{3} + c}}{3 \, \sqrt{c}}\right)}{72 \, c^{\frac{5}{2}}} - \frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{8 \, \sqrt{-c} c^{2}} - \frac{\sqrt{d x^{3} + c}}{12 \, c^{2} x^{3}}"," ",0,"1/72*sqrt(3)*d*arctan(1/3*sqrt(3)*sqrt(d*x^3 + c)/sqrt(c))/c^(5/2) - 1/8*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/12*sqrt(d*x^3 + c)/(c^2*x^3)","A",0
275,0,0,0,0.000000," ","integrate(x^4/(d*x^3+4*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
282,1,100,0,0.162676," ","integrate(x^11*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{1024 \, c^{4} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{4}} - \frac{2 \, {\left(5 \, {\left(d x^{3} + c\right)}^{\frac{7}{2}} d^{24} + 42 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c d^{24} + 665 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{2} d^{24} + 17920 \, \sqrt{d x^{3} + c} c^{3} d^{24}\right)}}{105 \, d^{28}}"," ",0,"-1024*c^4*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) - 2/105*(5*(d*x^3 + c)^(7/2)*d^24 + 42*(d*x^3 + c)^(5/2)*c*d^24 + 665*(d*x^3 + c)^(3/2)*c^2*d^24 + 17920*sqrt(d*x^3 + c)*c^3*d^24)/d^28","A",0
283,1,83,0,0.171231," ","integrate(x^8*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{128 \, c^{3} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{3}} - \frac{2 \, {\left(3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} d^{12} + 35 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c d^{12} + 960 \, \sqrt{d x^{3} + c} c^{2} d^{12}\right)}}{45 \, d^{15}}"," ",0,"-128*c^3*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) - 2/45*(3*(d*x^3 + c)^(5/2)*d^12 + 35*(d*x^3 + c)^(3/2)*c*d^12 + 960*sqrt(d*x^3 + c)*c^2*d^12)/d^15","A",0
284,1,65,0,0.210921," ","integrate(x^5*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{16 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{2}} - \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{4} + 24 \, \sqrt{d x^{3} + c} c d^{4}\right)}}{9 \, d^{6}}"," ",0,"-16*c^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^2) - 2/9*((d*x^3 + c)^(3/2)*d^4 + 24*sqrt(d*x^3 + c)*c*d^4)/d^6","A",0
285,1,43,0,0.160450," ","integrate(x^2*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{2 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d} - \frac{2 \, \sqrt{d x^{3} + c}}{3 \, d}"," ",0,"-2*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d) - 2/3*sqrt(d*x^3 + c)/d","A",0
286,1,48,0,0.164251," ","integrate((d*x^3+c)^(1/2)/x/(-d*x^3+8*c),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{12 \, \sqrt{-c}} - \frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{4 \, \sqrt{-c}}"," ",0,"1/12*arctan(sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c) - 1/4*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c)","A",0
287,1,73,0,0.169509," ","integrate((d*x^3+c)^(1/2)/x^4/(-d*x^3+8*c),x, algorithm=""giac"")","\frac{5 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{96 \, \sqrt{-c} c} - \frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{32 \, \sqrt{-c} c} - \frac{\sqrt{d x^{3} + c}}{24 \, c x^{3}}"," ",0,"5/96*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 1/32*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 1/24*sqrt(d*x^3 + c)/(c*x^3)","A",0
288,1,100,0,0.175892," ","integrate((d*x^3+c)^(1/2)/x^7/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{256 \, \sqrt{-c} c^{2}} - \frac{d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{256 \, \sqrt{-c} c^{2}} - \frac{3 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} + \sqrt{d x^{3} + c} c d^{2}}{192 \, c^{2} d^{2} x^{6}}"," ",0,"-1/256*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/256*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/192*(3*(d*x^3 + c)^(3/2)*d^2 + sqrt(d*x^3 + c)*c*d^2)/(c^2*d^2*x^6)","A",0
289,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(1/2)/(-d*x^3+8*c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
295,1,117,0,0.165309," ","integrate(x^11*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{9216 \, c^{5} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{4}} - \frac{2 \, {\left(35 \, {\left(d x^{3} + c\right)}^{\frac{9}{2}} d^{32} + 270 \, {\left(d x^{3} + c\right)}^{\frac{7}{2}} c d^{32} + 3591 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c^{2} d^{32} + 53760 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{3} d^{32} + 1451520 \, \sqrt{d x^{3} + c} c^{4} d^{32}\right)}}{945 \, d^{36}}"," ",0,"-9216*c^5*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) - 2/945*(35*(d*x^3 + c)^(9/2)*d^32 + 270*(d*x^3 + c)^(7/2)*c*d^32 + 3591*(d*x^3 + c)^(5/2)*c^2*d^32 + 53760*(d*x^3 + c)^(3/2)*c^3*d^32 + 1451520*sqrt(d*x^3 + c)*c^4*d^32)/d^36","A",0
296,1,100,0,0.162501," ","integrate(x^8*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{1152 \, c^{4} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{3}} - \frac{2 \, {\left(15 \, {\left(d x^{3} + c\right)}^{\frac{7}{2}} d^{18} + 147 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c d^{18} + 2240 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{2} d^{18} + 60480 \, \sqrt{d x^{3} + c} c^{3} d^{18}\right)}}{315 \, d^{21}}"," ",0,"-1152*c^4*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) - 2/315*(15*(d*x^3 + c)^(7/2)*d^18 + 147*(d*x^3 + c)^(5/2)*c*d^18 + 2240*(d*x^3 + c)^(3/2)*c^2*d^18 + 60480*sqrt(d*x^3 + c)*c^3*d^18)/d^21","A",0
297,1,83,0,0.184500," ","integrate(x^5*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{144 \, c^{3} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{2}} - \frac{2 \, {\left(3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} d^{8} + 40 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c d^{8} + 1080 \, \sqrt{d x^{3} + c} c^{2} d^{8}\right)}}{45 \, d^{10}}"," ",0,"-144*c^3*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^2) - 2/45*(3*(d*x^3 + c)^(5/2)*d^8 + 40*(d*x^3 + c)^(3/2)*c*d^8 + 1080*sqrt(d*x^3 + c)*c^2*d^8)/d^10","A",0
298,1,65,0,0.163129," ","integrate(x^2*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""giac"")","-\frac{18 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d} - \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} + 27 \, \sqrt{d x^{3} + c} c d^{2}\right)}}{9 \, d^{3}}"," ",0,"-18*c^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d) - 2/9*((d*x^3 + c)^(3/2)*d^2 + 27*sqrt(d*x^3 + c)*c*d^2)/d^3","A",0
299,1,61,0,0.176528," ","integrate((d*x^3+c)^(3/2)/x/(-d*x^3+8*c),x, algorithm=""giac"")","\frac{c \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{12 \, \sqrt{-c}} - \frac{9 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{4 \, \sqrt{-c}} - \frac{2}{3} \, \sqrt{d x^{3} + c}"," ",0,"1/12*c*arctan(sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c) - 9/4*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c) - 2/3*sqrt(d*x^3 + c)","A",0
300,1,64,0,0.165993," ","integrate((d*x^3+c)^(3/2)/x^4/(-d*x^3+8*c),x, algorithm=""giac"")","\frac{13 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{96 \, \sqrt{-c}} - \frac{9 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{32 \, \sqrt{-c}} - \frac{\sqrt{d x^{3} + c}}{24 \, x^{3}}"," ",0,"13/96*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c) - 9/32*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c) - 1/24*sqrt(d*x^3 + c)/x^3","A",0
301,1,101,0,0.190313," ","integrate((d*x^3+c)^(3/2)/x^7/(-d*x^3+8*c),x, algorithm=""giac"")","\frac{37 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{768 \, \sqrt{-c} c} - \frac{9 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{256 \, \sqrt{-c} c} - \frac{11 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} - 7 \, \sqrt{d x^{3} + c} c d^{2}}{192 \, c d^{2} x^{6}}"," ",0,"37/768*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 9/256*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 1/192*(11*(d*x^3 + c)^(3/2)*d^2 - 7*sqrt(d*x^3 + c)*c*d^2)/(c*d^2*x^6)","A",0
302,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(3/2)/(-d*x^3+8*c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
308,1,82,0,0.157660," ","integrate(x^11/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{1024 \, c^{3} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{9 \, \sqrt{-c} d^{4}} - \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{5}{2}} d^{16} + 10 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c d^{16} + 285 \, \sqrt{d x^{3} + c} c^{2} d^{16}\right)}}{15 \, d^{20}}"," ",0,"-1024/9*c^3*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) - 2/15*((d*x^3 + c)^(5/2)*d^16 + 10*(d*x^3 + c)^(3/2)*c*d^16 + 285*sqrt(d*x^3 + c)*c^2*d^16)/d^20","A",0
309,1,65,0,0.186641," ","integrate(x^8/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{128 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{9 \, \sqrt{-c} d^{3}} - \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{6} + 21 \, \sqrt{d x^{3} + c} c d^{6}\right)}}{9 \, d^{9}}"," ",0,"-128/9*c^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) - 2/9*((d*x^3 + c)^(3/2)*d^6 + 21*sqrt(d*x^3 + c)*c*d^6)/d^9","A",0
310,1,48,0,0.155189," ","integrate(x^5/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{8 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d} + \frac{3 \, \sqrt{d x^{3} + c}}{d}\right)}}{9 \, d}"," ",0,"-2/9*(8*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d) + 3*sqrt(d*x^3 + c)/d)/d","A",0
311,1,27,0,0.159581," ","integrate(x^2/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{9 \, \sqrt{-c} d}"," ",0,"-2/9*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d)","A",0
312,1,54,0,0.171304," ","integrate(1/x/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{12 \, \sqrt{-c} c} - \frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{36 \, \sqrt{-c} c}"," ",0,"1/12*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 1/36*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c)","A",0
313,1,73,0,0.163998," ","integrate(1/x^4/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{32 \, \sqrt{-c} c^{2}} - \frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{288 \, \sqrt{-c} c^{2}} - \frac{\sqrt{d x^{3} + c}}{24 \, c^{2} x^{3}}"," ",0,"-1/32*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/288*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/24*sqrt(d*x^3 + c)/(c^2*x^3)","A",0
314,1,101,0,0.179795," ","integrate(1/x^7/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{7 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{256 \, \sqrt{-c} c^{3}} - \frac{d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{2304 \, \sqrt{-c} c^{3}} + \frac{5 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} - 9 \, \sqrt{d x^{3} + c} c d^{2}}{192 \, c^{3} d^{2} x^{6}}"," ",0,"7/256*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 1/2304*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) + 1/192*(5*(d*x^3 + c)^(3/2)*d^2 - 9*sqrt(d*x^3 + c)*c*d^2)/(c^3*d^2*x^6)","A",0
315,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
325,1,82,0,0.196691," ","integrate(x^11/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{1024 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{81 \, \sqrt{-c} d^{4}} + \frac{2 \, c^{2}}{27 \, \sqrt{d x^{3} + c} d^{4}} - \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{8} + 18 \, \sqrt{d x^{3} + c} c d^{8}\right)}}{9 \, d^{12}}"," ",0,"-1024/81*c^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) + 2/27*c^2/(sqrt(d*x^3 + c)*d^4) - 2/9*((d*x^3 + c)^(3/2)*d^8 + 18*sqrt(d*x^3 + c)*c*d^8)/d^12","A",0
326,1,58,0,0.167843," ","integrate(x^8/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{128 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{81 \, \sqrt{-c} d^{3}} - \frac{2 \, \sqrt{d x^{3} + c}}{3 \, d^{3}} - \frac{2 \, c}{27 \, \sqrt{d x^{3} + c} d^{3}}"," ",0,"-128/81*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) - 2/3*sqrt(d*x^3 + c)/d^3 - 2/27*c/(sqrt(d*x^3 + c)*d^3)","A",0
327,1,47,0,0.165218," ","integrate(x^5/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{8 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d} - \frac{3}{\sqrt{d x^{3} + c} d}\right)}}{81 \, d}"," ",0,"-2/81*(8*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d) - 3/(sqrt(d*x^3 + c)*d))/d","A",0
328,1,48,0,0.180065," ","integrate(x^2/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{81 \, \sqrt{-c} c d} - \frac{2}{27 \, \sqrt{d x^{3} + c} c d}"," ",0,"-2/81*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c*d) - 2/27/(sqrt(d*x^3 + c)*c*d)","A",0
329,1,68,0,0.162287," ","integrate(1/x/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{12 \, \sqrt{-c} c^{2}} - \frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{324 \, \sqrt{-c} c^{2}} + \frac{2}{27 \, \sqrt{d x^{3} + c} c^{2}}"," ",0,"1/12*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/324*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) + 2/27/(sqrt(d*x^3 + c)*c^2)","A",0
330,1,100,0,0.178818," ","integrate(1/x^4/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{11 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{96 \, \sqrt{-c} c^{3}} - \frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{2592 \, \sqrt{-c} c^{3}} - \frac{25 \, {\left(d x^{3} + c\right)} d - 16 \, c d}{216 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - \sqrt{d x^{3} + c} c\right)} c^{3}}"," ",0,"-11/96*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 1/2592*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 1/216*(25*(d*x^3 + c)*d - 16*c*d)/(((d*x^3 + c)^(3/2) - sqrt(d*x^3 + c)*c)*c^3)","A",0
331,1,118,0,0.164966," ","integrate(1/x^7/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{109 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{768 \, \sqrt{-c} c^{4}} - \frac{d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{20736 \, \sqrt{-c} c^{4}} + \frac{2 \, d^{2}}{27 \, \sqrt{d x^{3} + c} c^{4}} + \frac{13 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} - 17 \, \sqrt{d x^{3} + c} c d^{2}}{192 \, c^{4} d^{2} x^{6}}"," ",0,"109/768*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^4) - 1/20736*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^4) + 2/27*d^2/(sqrt(d*x^3 + c)*c^4) + 1/192*(13*(d*x^3 + c)^(3/2)*d^2 - 17*sqrt(d*x^3 + c)*c*d^2)/(c^4*d^2*x^6)","A",0
332,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate(x/(b*x^3+2*a*(5+3*3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
351,-2,0,0,0.000000," ","integrate(x/(-b*x^3+2*a*(5+3*3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
352,-2,0,0,0.000000," ","integrate(x/(b*x^3-2*a*(5+3*3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
353,-2,0,0,0.000000," ","integrate(x/(-b*x^3-2*a*(5+3*3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
354,-2,0,0,0.000000," ","integrate(x/(b*x^3+2*a*(5-3*3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
355,-2,0,0,0.000000," ","integrate(x/(-b*x^3+2*a*(5-3*3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
356,-2,0,0,0.000000," ","integrate(x/(-b*x^3+2*a*(5-3*3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
357,-2,0,0,0.000000," ","integrate(x/(b*x^3+2*a*(5-3*3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
358,1,139,0,0.173786," ","integrate(x^8*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, {\left(a^{2} b c - a^{3} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{3}} + \frac{2 \, {\left(3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} b^{4} d^{8} - 5 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} b^{4} c d^{8} - 5 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} a b^{3} d^{9} + 15 \, \sqrt{d x^{3} + c} a^{2} b^{2} d^{10}\right)}}{45 \, b^{5} d^{10}}"," ",0,"2/3*(a^2*b*c - a^3*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) + 2/45*(3*(d*x^3 + c)^(5/2)*b^4*d^8 - 5*(d*x^3 + c)^(3/2)*b^4*c*d^8 - 5*(d*x^3 + c)^(3/2)*a*b^3*d^9 + 15*sqrt(d*x^3 + c)*a^2*b^2*d^10)/(b^5*d^10)","A",0
359,1,96,0,0.161637," ","integrate(x^5*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""giac"")","-\frac{2 \, {\left(a b c - a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b^{2} d^{2} - 3 \, \sqrt{d x^{3} + c} a b d^{3}\right)}}{9 \, b^{3} d^{3}}"," ",0,"-2/3*(a*b*c - a^2*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 2/9*((d*x^3 + c)^(3/2)*b^2*d^2 - 3*sqrt(d*x^3 + c)*a*b*d^3)/(b^3*d^3)","A",0
360,1,66,0,0.157318," ","integrate(x^2*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, b}"," ",0,"2/3*(b*c - a*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) + 2/3*sqrt(d*x^3 + c)/b","A",0
361,1,79,0,0.171816," ","integrate((d*x^3+c)^(1/2)/x/(b*x^3+a),x, algorithm=""giac"")","-\frac{2 \, {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a} + \frac{2 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a \sqrt{-c}}"," ",0,"-2/3*(b*c - a*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a) + 2/3*c*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a*sqrt(-c))","A",0
362,1,107,0,0.192109," ","integrate((d*x^3+c)^(1/2)/x^4/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c - a b d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{2}} - \frac{{\left(2 \, b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c}} - \frac{\sqrt{d x^{3} + c}}{3 \, a x^{3}}"," ",0,"2/3*(b^2*c - a*b*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) - 1/3*(2*b*c - a*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c)) - 1/3*sqrt(d*x^3 + c)/(a*x^3)","A",0
363,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(1/2)/(b*x^3+a),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
368,1,193,0,0.174437," ","integrate(x^8*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, {\left(a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{4}} + \frac{2 \, {\left(15 \, {\left(d x^{3} + c\right)}^{\frac{7}{2}} b^{6} d^{12} - 21 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} b^{6} c d^{12} - 21 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} a b^{5} d^{13} + 35 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} a^{2} b^{4} d^{14} + 105 \, \sqrt{d x^{3} + c} a^{2} b^{4} c d^{14} - 105 \, \sqrt{d x^{3} + c} a^{3} b^{3} d^{15}\right)}}{315 \, b^{7} d^{14}}"," ",0,"2/3*(a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^4) + 2/315*(15*(d*x^3 + c)^(7/2)*b^6*d^12 - 21*(d*x^3 + c)^(5/2)*b^6*c*d^12 - 21*(d*x^3 + c)^(5/2)*a*b^5*d^13 + 35*(d*x^3 + c)^(3/2)*a^2*b^4*d^14 + 105*sqrt(d*x^3 + c)*a^2*b^4*c*d^14 - 105*sqrt(d*x^3 + c)*a^3*b^3*d^15)/(b^7*d^14)","A",0
369,1,151,0,0.188732," ","integrate(x^5*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""giac"")","-\frac{2 \, {\left(a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{3}} + \frac{2 \, {\left(3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} b^{4} d^{4} - 5 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} a b^{3} d^{5} - 15 \, \sqrt{d x^{3} + c} a b^{3} c d^{5} + 15 \, \sqrt{d x^{3} + c} a^{2} b^{2} d^{6}\right)}}{45 \, b^{5} d^{5}}"," ",0,"-2/3*(a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) + 2/45*(3*(d*x^3 + c)^(5/2)*b^4*d^4 - 5*(d*x^3 + c)^(3/2)*a*b^3*d^5 - 15*sqrt(d*x^3 + c)*a*b^3*c*d^5 + 15*sqrt(d*x^3 + c)*a^2*b^2*d^6)/(b^5*d^5)","A",0
370,1,113,0,0.170291," ","integrate(x^2*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b^{2} + 3 \, \sqrt{d x^{3} + c} b^{2} c - 3 \, \sqrt{d x^{3} + c} a b d\right)}}{9 \, b^{3}}"," ",0,"2/3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 2/9*((d*x^3 + c)^(3/2)*b^2 + 3*sqrt(d*x^3 + c)*b^2*c - 3*sqrt(d*x^3 + c)*a*b*d)/b^3","A",0
371,1,112,0,0.177154," ","integrate((d*x^3+c)^(3/2)/x/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a \sqrt{-c}} + \frac{2 \, \sqrt{d x^{3} + c} d}{3 \, b} - \frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a b}"," ",0,"2/3*c^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a*sqrt(-c)) + 2/3*sqrt(d*x^3 + c)*d/b - 2/3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a*b)","A",0
372,1,121,0,0.174453," ","integrate((d*x^3+c)^(3/2)/x^4/(b*x^3+a),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{2}} - \frac{{\left(2 \, b c^{2} - 3 \, a c d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c}} - \frac{\sqrt{d x^{3} + c} c}{3 \, a x^{3}}"," ",0,"2/3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) - 1/3*(2*b*c^2 - 3*a*c*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c)) - 1/3*sqrt(d*x^3 + c)*c/(a*x^3)","A",0
373,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(3/2)/(b*x^3+a),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
378,1,106,0,0.172405," ","integrate(x^8/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b^{2} d^{4} - 3 \, \sqrt{d x^{3} + c} b^{2} c d^{4} - 3 \, \sqrt{d x^{3} + c} a b d^{5}\right)}}{9 \, b^{3} d^{6}}"," ",0,"2/3*a^2*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 2/9*((d*x^3 + c)^(3/2)*b^2*d^4 - 3*sqrt(d*x^3 + c)*b^2*c*d^4 - 3*sqrt(d*x^3 + c)*a*b*d^5)/(b^3*d^6)","A",0
379,1,64,0,0.171989," ","integrate(x^5/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{a d \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b} - \frac{\sqrt{d x^{3} + c}}{b}\right)}}{3 \, d}"," ",0,"-2/3*(a*d*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) - sqrt(d*x^3 + c)/b)/d","A",0
380,1,40,0,0.156650," ","integrate(x^2/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d}}"," ",0,"2/3*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/sqrt(-b^2*c + a*b*d)","A",0
381,1,71,0,0.166069," ","integrate(1/x/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, b \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a} + \frac{2 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a \sqrt{-c}}"," ",0,"-2/3*b*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a) + 2/3*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a*sqrt(-c))","A",0
382,1,104,0,0.192438," ","integrate(1/x^4/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, b^{2} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{2}} - \frac{{\left(2 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c} c} - \frac{\sqrt{d x^{3} + c}}{3 \, a c x^{3}}"," ",0,"2/3*b^2*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) - 1/3*(2*b*c + a*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c)*c) - 1/3*sqrt(d*x^3 + c)/(a*c*x^3)","A",0
383,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
388,1,103,0,0.183084," ","integrate(x^8/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(b^{2} c - a b d\right)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, c^{2}}{3 \, {\left(b c d^{2} - a d^{3}\right)} \sqrt{d x^{3} + c}} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, b d^{2}}"," ",0,"2/3*a^2*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c - a*b*d)*sqrt(-b^2*c + a*b*d)) + 2/3*c^2/((b*c*d^2 - a*d^3)*sqrt(d*x^3 + c)) + 2/3*sqrt(d*x^3 + c)/(b*d^2)","A",0
389,1,78,0,0.191007," ","integrate(x^5/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{a d \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} + \frac{c}{\sqrt{d x^{3} + c} {\left(b c - a d\right)}}\right)}}{3 \, d}"," ",0,"-2/3*(a*d*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) + c/(sqrt(d*x^3 + c)*(b*c - a*d)))/d","A",0
390,1,73,0,0.189141," ","integrate(x^2/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, b \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} + \frac{2}{3 \, \sqrt{d x^{3} + c} {\left(b c - a d\right)}}"," ",0,"2/3*b*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) + 2/3/(sqrt(d*x^3 + c)*(b*c - a*d))","A",0
391,1,111,0,0.165739," ","integrate(1/x/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, b^{2} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(a b c - a^{2} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, d}{3 \, \sqrt{d x^{3} + c} {\left(b c^{2} - a c d\right)}} + \frac{2 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a \sqrt{-c} c}"," ",0,"-2/3*b^2*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((a*b*c - a^2*d)*sqrt(-b^2*c + a*b*d)) - 2/3*d/(sqrt(d*x^3 + c)*(b*c^2 - a*c*d)) + 2/3*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a*sqrt(-c)*c)","A",0
392,1,173,0,0.174349," ","integrate(1/x^4/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, b^{3} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(a^{2} b c - a^{3} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{{\left(d x^{3} + c\right)} b c d - 3 \, {\left(d x^{3} + c\right)} a d^{2} + 2 \, a c d^{2}}{3 \, {\left(a b c^{3} - a^{2} c^{2} d\right)} {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - \sqrt{d x^{3} + c} c\right)}} - \frac{{\left(2 \, b c + 3 \, a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c} c^{2}}"," ",0,"2/3*b^3*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((a^2*b*c - a^3*d)*sqrt(-b^2*c + a*b*d)) - 1/3*((d*x^3 + c)*b*c*d - 3*(d*x^3 + c)*a*d^2 + 2*a*c*d^2)/((a*b*c^3 - a^2*c^2*d)*((d*x^3 + c)^(3/2) - sqrt(d*x^3 + c)*c)) - 1/3*(2*b*c + 3*a*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c)*c^2)","A",0
393,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
398,1,110,0,0.163659," ","integrate(x^11*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{3968 \, c^{3} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{9 \, \sqrt{-c} d^{4}} - \frac{512 \, \sqrt{d x^{3} + c} c^{3}}{3 \, {\left(d x^{3} - 8 \, c\right)} d^{4}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{5}{2}} d^{16} + 25 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c d^{16} + 960 \, \sqrt{d x^{3} + c} c^{2} d^{16}\right)}}{15 \, d^{20}}"," ",0,"3968/9*c^3*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) - 512/3*sqrt(d*x^3 + c)*c^3/((d*x^3 - 8*c)*d^4) + 2/15*((d*x^3 + c)^(5/2)*d^16 + 25*(d*x^3 + c)^(3/2)*c*d^16 + 960*sqrt(d*x^3 + c)*c^2*d^16)/d^20","A",0
399,1,93,0,0.183616," ","integrate(x^8*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{352 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{9 \, \sqrt{-c} d^{3}} - \frac{64 \, \sqrt{d x^{3} + c} c^{2}}{3 \, {\left(d x^{3} - 8 \, c\right)} d^{3}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{6} + 48 \, \sqrt{d x^{3} + c} c d^{6}\right)}}{9 \, d^{9}}"," ",0,"352/9*c^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) - 64/3*sqrt(d*x^3 + c)*c^2/((d*x^3 - 8*c)*d^3) + 2/9*((d*x^3 + c)^(3/2)*d^6 + 48*sqrt(d*x^3 + c)*c*d^6)/d^9","A",0
400,1,69,0,0.158641," ","integrate(x^5*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{26 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{9 \, \sqrt{-c} d^{2}} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, d^{2}} - \frac{8 \, \sqrt{d x^{3} + c} c}{3 \, {\left(d x^{3} - 8 \, c\right)} d^{2}}"," ",0,"26/9*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^2) + 2/3*sqrt(d*x^3 + c)/d^2 - 8/3*sqrt(d*x^3 + c)*c/((d*x^3 - 8*c)*d^2)","A",0
401,1,53,0,0.159342," ","integrate(x^2*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{9 \, \sqrt{-c} d} - \frac{\sqrt{d x^{3} + c}}{3 \, {\left(d x^{3} - 8 \, c\right)} d}"," ",0,"1/9*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d) - 1/3*sqrt(d*x^3 + c)/((d*x^3 - 8*c)*d)","A",0
402,1,79,0,0.160296," ","integrate((d*x^3+c)^(1/2)/x/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{96 \, \sqrt{-c} c} - \frac{5 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{288 \, \sqrt{-c} c} - \frac{\sqrt{d x^{3} + c}}{24 \, {\left(d x^{3} - 8 \, c\right)} c}"," ",0,"1/96*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 5/288*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 1/24*sqrt(d*x^3 + c)/((d*x^3 - 8*c)*c)","A",0
403,1,113,0,0.172497," ","integrate((d*x^3+c)^(1/2)/x^4/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{128 \, \sqrt{-c} c^{2}} - \frac{7 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{1152 \, \sqrt{-c} c^{2}} - \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} d - 5 \, \sqrt{d x^{3} + c} c d}{96 \, {\left({\left(d x^{3} + c\right)}^{2} - 10 \, {\left(d x^{3} + c\right)} c + 9 \, c^{2}\right)} c^{2}}"," ",0,"1/128*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 7/1152*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/96*((d*x^3 + c)^(3/2)*d - 5*sqrt(d*x^3 + c)*c*d)/(((d*x^3 + c)^2 - 10*(d*x^3 + c)*c + 9*c^2)*c^2)","A",0
404,1,105,0,0.181470," ","integrate((d*x^3+c)^(1/2)/x^7/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{2048 \, \sqrt{-c} c^{3}} - \frac{23 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{18432 \, \sqrt{-c} c^{3}} - \frac{\sqrt{d x^{3} + c} d^{2}}{1536 \, {\left(d x^{3} - 8 \, c\right)} c^{3}} - \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}}}{384 \, c^{3} x^{6}}"," ",0,"1/2048*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 23/18432*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 1/1536*sqrt(d*x^3 + c)*d^2/((d*x^3 - 8*c)*c^3) - 1/384*(d*x^3 + c)^(3/2)/(c^3*x^6)","A",0
405,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(1/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
411,1,127,0,0.172711," ","integrate(x^11*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{4992 \, c^{4} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{4}} - \frac{1536 \, \sqrt{d x^{3} + c} c^{4}}{{\left(d x^{3} - 8 \, c\right)} d^{4}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{7}{2}} d^{24} + 21 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} c d^{24} + 448 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c^{2} d^{24} + 15680 \, \sqrt{d x^{3} + c} c^{3} d^{24}\right)}}{21 \, d^{28}}"," ",0,"4992*c^4*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) - 1536*sqrt(d*x^3 + c)*c^4/((d*x^3 - 8*c)*d^4) + 2/21*((d*x^3 + c)^(7/2)*d^24 + 21*(d*x^3 + c)^(5/2)*c*d^24 + 448*(d*x^3 + c)^(3/2)*c^2*d^24 + 15680*sqrt(d*x^3 + c)*c^3*d^24)/d^28","A",0
412,1,111,0,0.196559," ","integrate(x^8*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{480 \, c^{3} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{3}} - \frac{192 \, \sqrt{d x^{3} + c} c^{3}}{{\left(d x^{3} - 8 \, c\right)} d^{3}} + \frac{2 \, {\left(3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} d^{12} + 80 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c d^{12} + 3120 \, \sqrt{d x^{3} + c} c^{2} d^{12}\right)}}{45 \, d^{15}}"," ",0,"480*c^3*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) - 192*sqrt(d*x^3 + c)*c^3/((d*x^3 - 8*c)*d^3) + 2/45*(3*(d*x^3 + c)^(5/2)*d^12 + 80*(d*x^3 + c)^(3/2)*c*d^12 + 3120*sqrt(d*x^3 + c)*c^2*d^12)/d^15","A",0
413,1,93,0,0.169125," ","integrate(x^5*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{42 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d^{2}} - \frac{24 \, \sqrt{d x^{3} + c} c^{2}}{{\left(d x^{3} - 8 \, c\right)} d^{2}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{4} + 51 \, \sqrt{d x^{3} + c} c d^{4}\right)}}{9 \, d^{6}}"," ",0,"42*c^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^2) - 24*sqrt(d*x^3 + c)*c^2/((d*x^3 - 8*c)*d^2) + 2/9*((d*x^3 + c)^(3/2)*d^4 + 51*sqrt(d*x^3 + c)*c*d^4)/d^6","A",0
414,1,69,0,0.169194," ","integrate(x^2*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{3 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, d} - \frac{3 \, \sqrt{d x^{3} + c} c}{{\left(d x^{3} - 8 \, c\right)} d}"," ",0,"3*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d) + 2/3*sqrt(d*x^3 + c)/d - 3*sqrt(d*x^3 + c)*c/((d*x^3 - 8*c)*d)","A",0
415,1,70,0,0.168706," ","integrate((d*x^3+c)^(3/2)/x/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{96 \, \sqrt{-c}} + \frac{3 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{32 \, \sqrt{-c}} - \frac{3 \, \sqrt{d x^{3} + c}}{8 \, {\left(d x^{3} - 8 \, c\right)}}"," ",0,"1/96*arctan(sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c) + 3/32*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/sqrt(-c) - 3/8*sqrt(d*x^3 + c)/(d*x^3 - 8*c)","A",0
416,1,114,0,0.188462," ","integrate((d*x^3+c)^(3/2)/x^4/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{7 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{384 \, \sqrt{-c} c} - \frac{3 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{128 \, \sqrt{-c} c} - \frac{5 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d - 9 \, \sqrt{d x^{3} + c} c d}{96 \, {\left({\left(d x^{3} + c\right)}^{2} - 10 \, {\left(d x^{3} + c\right)} c + 9 \, c^{2}\right)} c}"," ",0,"7/384*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 3/128*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c) - 1/96*(5*(d*x^3 + c)^(3/2)*d - 9*sqrt(d*x^3 + c)*c*d)/(((d*x^3 + c)^2 - 10*(d*x^3 + c)*c + 9*c^2)*c)","A",0
417,1,129,0,0.178407," ","integrate((d*x^3+c)^(3/2)/x^7/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\frac{17 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{2048 \, \sqrt{-c} c^{2}} - \frac{15 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{2048 \, \sqrt{-c} c^{2}} - \frac{3 \, \sqrt{d x^{3} + c} d^{2}}{512 \, {\left(d x^{3} - 8 \, c\right)} c^{2}} - \frac{3 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} - 2 \, \sqrt{d x^{3} + c} c d^{2}}{384 \, c^{2} d^{2} x^{6}}"," ",0,"17/2048*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 15/2048*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 3/512*sqrt(d*x^3 + c)*d^2/((d*x^3 - 8*c)*c^2) - 1/384*(3*(d*x^3 + c)^(3/2)*d^2 - 2*sqrt(d*x^3 + c)*c*d^2)/(c^2*d^2*x^6)","A",0
418,0,0,0,0.000000," ","integrate(x^7*(d*x^3+c)^(3/2)/(-d*x^3+8*c)^2,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
424,1,93,0,0.194379," ","integrate(x^11/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{2944 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{81 \, \sqrt{-c} d^{4}} - \frac{512 \, \sqrt{d x^{3} + c} c^{2}}{27 \, {\left(d x^{3} - 8 \, c\right)} d^{4}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{8} + 45 \, \sqrt{d x^{3} + c} c d^{8}\right)}}{9 \, d^{12}}"," ",0,"2944/81*c^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) - 512/27*sqrt(d*x^3 + c)*c^2/((d*x^3 - 8*c)*d^4) + 2/9*((d*x^3 + c)^(3/2)*d^8 + 45*sqrt(d*x^3 + c)*c*d^8)/d^12","A",0
425,1,69,0,0.173593," ","integrate(x^8/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{224 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{81 \, \sqrt{-c} d^{3}} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, d^{3}} - \frac{64 \, \sqrt{d x^{3} + c} c}{27 \, {\left(d x^{3} - 8 \, c\right)} d^{3}}"," ",0,"224/81*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) + 2/3*sqrt(d*x^3 + c)/d^3 - 64/27*sqrt(d*x^3 + c)*c/((d*x^3 - 8*c)*d^3)","A",0
426,1,58,0,0.161710," ","integrate(x^5/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{5 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} d} - \frac{12 \, \sqrt{d x^{3} + c}}{{\left(d x^{3} - 8 \, c\right)} d}\right)}}{81 \, d}"," ",0,"2/81*(5*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d) - 12*sqrt(d*x^3 + c)/((d*x^3 - 8*c)*d))/d","A",0
427,1,59,0,0.157315," ","integrate(x^2/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{81 \, \sqrt{-c} c d} - \frac{\sqrt{d x^{3} + c}}{27 \, {\left(d x^{3} - 8 \, c\right)} c d}"," ",0,"-1/81*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c*d) - 1/27*sqrt(d*x^3 + c)/((d*x^3 - 8*c)*c*d)","A",0
428,1,79,0,0.190337," ","integrate(1/x/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{96 \, \sqrt{-c} c^{2}} - \frac{13 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{2592 \, \sqrt{-c} c^{2}} - \frac{\sqrt{d x^{3} + c}}{216 \, {\left(d x^{3} - 8 \, c\right)} c^{2}}"," ",0,"1/96*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 13/2592*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2) - 1/216*sqrt(d*x^3 + c)/((d*x^3 - 8*c)*c^2)","A",0
429,1,114,0,0.162778," ","integrate(1/x^4/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{384 \, \sqrt{-c} c^{3}} - \frac{11 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{10368 \, \sqrt{-c} c^{3}} - \frac{5 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d - 41 \, \sqrt{d x^{3} + c} c d}{864 \, {\left({\left(d x^{3} + c\right)}^{2} - 10 \, {\left(d x^{3} + c\right)} c + 9 \, c^{2}\right)} c^{3}}"," ",0,"-1/384*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 11/10368*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 1/864*(5*(d*x^3 + c)^(3/2)*d - 41*sqrt(d*x^3 + c)*c*d)/(((d*x^3 + c)^2 - 10*(d*x^3 + c)*c + 9*c^2)*c^3)","A",0
430,1,128,0,0.180972," ","integrate(1/x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{19 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{6144 \, \sqrt{-c} c^{4}} - \frac{31 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{165888 \, \sqrt{-c} c^{4}} - \frac{\sqrt{d x^{3} + c} d^{2}}{13824 \, {\left(d x^{3} - 8 \, c\right)} c^{4}} + \frac{{\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} - 2 \, \sqrt{d x^{3} + c} c d^{2}}{384 \, c^{4} d^{2} x^{6}}"," ",0,"19/6144*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^4) - 31/165888*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^4) - 1/13824*sqrt(d*x^3 + c)*d^2/((d*x^3 - 8*c)*c^4) + 1/384*((d*x^3 + c)^(3/2)*d^2 - 2*sqrt(d*x^3 + c)*c*d^2)/(c^4*d^2*x^6)","A",0
431,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
442,1,88,0,0.188680," ","integrate(x^11/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{640 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{243 \, \sqrt{-c} d^{4}} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, d^{4}} - \frac{2 \, {\left(85 \, {\left(d x^{3} + c\right)} c + 3 \, c^{2}\right)}}{81 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c\right)} d^{4}}"," ",0,"640/243*c*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^4) + 2/3*sqrt(d*x^3 + c)/d^4 - 2/81*(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
443,1,67,0,0.174727," ","integrate(x^8/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{32 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{243 \, \sqrt{-c} d^{3}} - \frac{2 \, {\left(11 \, d x^{3} + 8 \, c\right)}}{81 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c\right)} d^{3}}"," ",0,"32/243*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*d^3) - 2/81*(11*d*x^3 + 8*c)/(((d*x^3 + c)^(3/2) - 9*sqrt(d*x^3 + c)*c)*d^3)","A",0
444,1,76,0,0.189185," ","integrate(x^5/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{\sqrt{-c} c d} + \frac{3 \, {\left(d x^{3} + 4 \, c\right)}}{{\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c\right)} c d}\right)}}{243 \, d}"," ",0,"-2/243*(arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c*d) + 3*(d*x^3 + 4*c)/(((d*x^3 + c)^(3/2) - 9*sqrt(d*x^3 + c)*c)*c*d))/d","A",0
445,1,72,0,0.160716," ","integrate(x^2/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{243 \, \sqrt{-c} c^{2} d} - \frac{d x^{3} - 5 \, c}{81 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c\right)} c^{2} d}"," ",0,"-1/243*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^2*d) - 1/81*(d*x^3 - 5*c)/(((d*x^3 + c)^(3/2) - 9*sqrt(d*x^3 + c)*c)*c^2*d)","A",0
446,1,93,0,0.171706," ","integrate(1/x/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{96 \, \sqrt{-c} c^{3}} - \frac{7 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{7776 \, \sqrt{-c} c^{3}} + \frac{5 \, d x^{3} - 43 \, c}{648 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c\right)} c^{3}}"," ",0,"1/96*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) - 7/7776*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^3) + 1/648*(5*d*x^3 - 43*c)/(((d*x^3 + c)^(3/2) - 9*sqrt(d*x^3 + c)*c)*c^3)","A",0
447,1,129,0,0.165043," ","integrate(1/x^4/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{5 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{384 \, \sqrt{-c} c^{4}} - \frac{5 \, d \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{31104 \, \sqrt{-c} c^{4}} - \frac{35 \, {\left(d x^{3} + c\right)}^{2} d - 335 \, {\left(d x^{3} + c\right)} c d + 192 \, c^{2} d}{2592 \, {\left({\left(d x^{3} + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} c + 9 \, \sqrt{d x^{3} + c} c^{2}\right)} c^{4}}"," ",0,"-5/384*d*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^4) - 5/31104*d*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^4) - 1/2592*(35*(d*x^3 + c)^2*d - 335*(d*x^3 + c)*c*d + 192*c^2*d)/(((d*x^3 + c)^(5/2) - 10*(d*x^3 + c)^(3/2)*c + 9*sqrt(d*x^3 + c)*c^2)*c^4)","A",0
448,1,149,0,0.181112," ","integrate(1/x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{33 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{2048 \, \sqrt{-c} c^{5}} - \frac{13 \, d^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{3 \, \sqrt{-c}}\right)}{497664 \, \sqrt{-c} c^{5}} + \frac{341 \, {\left(d x^{3} + c\right)} d^{2} - 3072 \, c d^{2}}{41472 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} - 9 \, \sqrt{d x^{3} + c} c\right)} c^{5}} + \frac{3 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} d^{2} - 4 \, \sqrt{d x^{3} + c} c d^{2}}{384 \, c^{5} d^{2} x^{6}}"," ",0,"33/2048*d^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^5) - 13/497664*d^2*arctan(1/3*sqrt(d*x^3 + c)/sqrt(-c))/(sqrt(-c)*c^5) + 1/41472*(341*(d*x^3 + c)*d^2 - 3072*c*d^2)/(((d*x^3 + c)^(3/2) - 9*sqrt(d*x^3 + c)*c)*c^5) + 1/384*(3*(d*x^3 + c)^(3/2)*d^2 - 4*sqrt(d*x^3 + c)*c*d^2)/(c^5*d^2*x^6)","A",0
449,0,0,0,0.000000," ","integrate(x^7/(-d*x^3+8*c)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
460,1,136,0,0.179257," ","integrate(x^8*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{\sqrt{d x^{3} + c} a^{2} d}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} b^{3}} - \frac{{\left(4 \, a b c - 5 \, a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{3}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b^{4} d^{2} - 6 \, \sqrt{d x^{3} + c} a b^{3} d^{3}\right)}}{9 \, b^{6} d^{3}}"," ",0,"-1/3*sqrt(d*x^3 + c)*a^2*d/(((d*x^3 + c)*b - b*c + a*d)*b^3) - 1/3*(4*a*b*c - 5*a^2*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) + 2/9*((d*x^3 + c)^(3/2)*b^4*d^2 - 6*sqrt(d*x^3 + c)*a*b^3*d^3)/(b^6*d^3)","A",0
461,1,102,0,0.171693," ","integrate(x^5*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{\sqrt{d x^{3} + c} a d}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} b^{2}} + \frac{{\left(2 \, b c - 3 \, a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, b^{2}}"," ",0,"1/3*sqrt(d*x^3 + c)*a*d/(((d*x^3 + c)*b - b*c + a*d)*b^2) + 1/3*(2*b*c - 3*a*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 2/3*sqrt(d*x^3 + c)/b^2","A",0
462,1,79,0,0.202075," ","integrate(x^2*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{d \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b} - \frac{\sqrt{d x^{3} + c} d}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} b}"," ",0,"1/3*d*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) - 1/3*sqrt(d*x^3 + c)*d/(((d*x^3 + c)*b - b*c + a*d)*b)","A",0
463,1,114,0,0.171204," ","integrate((d*x^3+c)^(1/2)/x/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{\sqrt{d x^{3} + c} d}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} a} - \frac{{\left(2 \, b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{2}} + \frac{2 \, c \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c}}"," ",0,"1/3*sqrt(d*x^3 + c)*d/(((d*x^3 + c)*b - b*c + a*d)*a) - 1/3*(2*b*c - a*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) + 2/3*c*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c))","A",0
464,1,183,0,0.215005," ","integrate((d*x^3+c)^(1/2)/x^4/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{{\left(4 \, b^{2} c - 3 \, a b d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{3}} - \frac{{\left(4 \, b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{3} \sqrt{-c}} - \frac{2 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} b d - 2 \, \sqrt{d x^{3} + c} b c d + \sqrt{d x^{3} + c} a d^{2}}{3 \, {\left({\left(d x^{3} + c\right)}^{2} b - 2 \, {\left(d x^{3} + c\right)} b c + b c^{2} + {\left(d x^{3} + c\right)} a d - a c d\right)} a^{2}}"," ",0,"1/3*(4*b^2*c - 3*a*b*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^3) - 1/3*(4*b*c - a*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^3*sqrt(-c)) - 1/3*(2*(d*x^3 + c)^(3/2)*b*d - 2*sqrt(d*x^3 + c)*b*c*d + sqrt(d*x^3 + c)*a*d^2)/(((d*x^3 + c)^2*b - 2*(d*x^3 + c)*b*c + b*c^2 + (d*x^3 + c)*a*d - a*c*d)*a^2)","A",0
465,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(1/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
470,1,211,0,0.176933," ","integrate(x^8*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""giac"")","-\frac{{\left(4 \, a b^{2} c^{2} - 11 \, a^{2} b c d + 7 \, a^{3} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{4}} - \frac{\sqrt{d x^{3} + c} a^{2} b c d - \sqrt{d x^{3} + c} a^{3} d^{2}}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} b^{4}} + \frac{2 \, {\left(3 \, {\left(d x^{3} + c\right)}^{\frac{5}{2}} b^{8} d^{4} - 10 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} a b^{7} d^{5} - 30 \, \sqrt{d x^{3} + c} a b^{7} c d^{5} + 45 \, \sqrt{d x^{3} + c} a^{2} b^{6} d^{6}\right)}}{45 \, b^{10} d^{5}}"," ",0,"-1/3*(4*a*b^2*c^2 - 11*a^2*b*c*d + 7*a^3*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^4) - 1/3*(sqrt(d*x^3 + c)*a^2*b*c*d - sqrt(d*x^3 + c)*a^3*d^2)/(((d*x^3 + c)*b - b*c + a*d)*b^4) + 2/45*(3*(d*x^3 + c)^(5/2)*b^8*d^4 - 10*(d*x^3 + c)^(3/2)*a*b^7*d^5 - 30*sqrt(d*x^3 + c)*a*b^7*c*d^5 + 45*sqrt(d*x^3 + c)*a^2*b^6*d^6)/(b^10*d^5)","A",0
471,1,173,0,0.187073," ","integrate(x^5*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{{\left(2 \, b^{2} c^{2} - 7 \, a b c d + 5 \, a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{3}} + \frac{\sqrt{d x^{3} + c} a b c d - \sqrt{d x^{3} + c} a^{2} d^{2}}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} b^{3}} + \frac{2 \, {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b^{4} + 3 \, \sqrt{d x^{3} + c} b^{4} c - 6 \, \sqrt{d x^{3} + c} a b^{3} d\right)}}{9 \, b^{6}}"," ",0,"1/3*(2*b^2*c^2 - 7*a*b*c*d + 5*a^2*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) + 1/3*(sqrt(d*x^3 + c)*a*b*c*d - sqrt(d*x^3 + c)*a^2*d^2)/(((d*x^3 + c)*b - b*c + a*d)*b^3) + 2/9*((d*x^3 + c)^(3/2)*b^4 + 3*sqrt(d*x^3 + c)*b^4*c - 6*sqrt(d*x^3 + c)*a*b^3*d)/b^6","A",0
472,1,122,0,0.169438," ","integrate(x^2*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{d x^{3} + c} d}{3 \, b^{2}} + \frac{{\left(b c d - a d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b^{2}} - \frac{\sqrt{d x^{3} + c} b c d - \sqrt{d x^{3} + c} a d^{2}}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} b^{2}}"," ",0,"2/3*sqrt(d*x^3 + c)*d/b^2 + (b*c*d - a*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) - 1/3*(sqrt(d*x^3 + c)*b*c*d - sqrt(d*x^3 + c)*a*d^2)/(((d*x^3 + c)*b - b*c + a*d)*b^2)","A",0
473,1,155,0,0.173573," ","integrate((d*x^3+c)^(3/2)/x/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{2 \, c^{2} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c}} - \frac{{\left(2 \, b^{2} c^{2} - a b c d - a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{2} b} + \frac{\sqrt{d x^{3} + c} b c d - \sqrt{d x^{3} + c} a d^{2}}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} a b}"," ",0,"2/3*c^2*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c)) - 1/3*(2*b^2*c^2 - a*b*c*d - a^2*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2*b) + 1/3*(sqrt(d*x^3 + c)*b*c*d - sqrt(d*x^3 + c)*a*d^2)/(((d*x^3 + c)*b - b*c + a*d)*a*b)","A",0
474,1,216,0,0.216719," ","integrate((d*x^3+c)^(3/2)/x^4/(b*x^3+a)^2,x, algorithm=""giac"")","\frac{{\left(4 \, b^{2} c^{2} - 5 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{3}} - \frac{{\left(4 \, b c^{2} - 3 \, a c d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{3} \sqrt{-c}} - \frac{2 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} b c d - 2 \, \sqrt{d x^{3} + c} b c^{2} d - {\left(d x^{3} + c\right)}^{\frac{3}{2}} a d^{2} + 2 \, \sqrt{d x^{3} + c} a c d^{2}}{3 \, {\left({\left(d x^{3} + c\right)}^{2} b - 2 \, {\left(d x^{3} + c\right)} b c + b c^{2} + {\left(d x^{3} + c\right)} a d - a c d\right)} a^{2}}"," ",0,"1/3*(4*b^2*c^2 - 5*a*b*c*d + a^2*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^3) - 1/3*(4*b*c^2 - 3*a*c*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^3*sqrt(-c)) - 1/3*(2*(d*x^3 + c)^(3/2)*b*c*d - 2*sqrt(d*x^3 + c)*b*c^2*d - (d*x^3 + c)^(3/2)*a*d^2 + 2*sqrt(d*x^3 + c)*a*c*d^2)/(((d*x^3 + c)^2*b - 2*(d*x^3 + c)*b*c + b*c^2 + (d*x^3 + c)*a*d - a*c*d)*a^2)","A",0
475,0,0,0,0.000000," ","integrate(x^3*(d*x^3+c)^(3/2)/(b*x^3+a)^2,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
480,1,134,0,0.226152," ","integrate(x^8/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d x^{3} + c} a^{2} d}{3 \, {\left(b^{3} c - a b^{2} d\right)} {\left({\left(d x^{3} + c\right)} b - b c + a d\right)}} - \frac{{\left(4 \, a b c - 3 \, a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, \sqrt{d x^{3} + c}}{3 \, b^{2} d}"," ",0,"-1/3*sqrt(d*x^3 + c)*a^2*d/((b^3*c - a*b^2*d)*((d*x^3 + c)*b - b*c + a*d)) - 1/3*(4*a*b*c - 3*a^2*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c - a*b^2*d)*sqrt(-b^2*c + a*b*d)) + 2/3*sqrt(d*x^3 + c)/(b^2*d)","A",0
481,1,116,0,0.166445," ","integrate(x^5/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{d x^{3} + c} a d^{2}}{{\left(b^{2} c - a b d\right)} {\left({\left(d x^{3} + c\right)} b - b c + a d\right)}} + \frac{{\left(2 \, b c d - a d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c - a b d\right)} \sqrt{-b^{2} c + a b d}}}{3 \, d}"," ",0,"1/3*(sqrt(d*x^3 + c)*a*d^2/((b^2*c - a*b*d)*((d*x^3 + c)*b - b*c + a*d)) + (2*b*c*d - a*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c - a*b*d)*sqrt(-b^2*c + a*b*d)))/d","A",0
482,1,93,0,0.163646," ","integrate(x^2/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{d \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} - \frac{\sqrt{d x^{3} + c} d}{3 \, {\left({\left(d x^{3} + c\right)} b - b c + a d\right)} {\left(b c - a d\right)}}"," ",0,"-1/3*d*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) - 1/3*sqrt(d*x^3 + c)*d/(((d*x^3 + c)*b - b*c + a*d)*(b*c - a*d))","A",0
483,1,139,0,0.162670," ","integrate(1/x/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{d x^{3} + c} b d}{3 \, {\left(a b c - a^{2} d\right)} {\left({\left(d x^{3} + c\right)} b - b c + a d\right)}} - \frac{{\left(2 \, b^{2} c - 3 \, a b d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(a^{2} b c - a^{3} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c}}"," ",0,"1/3*sqrt(d*x^3 + c)*b*d/((a*b*c - a^2*d)*((d*x^3 + c)*b - b*c + a*d)) - 1/3*(2*b^2*c - 3*a*b*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((a^2*b*c - a^3*d)*sqrt(-b^2*c + a*b*d)) + 2/3*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c))","A",0
484,1,257,0,0.172363," ","integrate(1/x^4/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{3} c - 5 \, a b^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(a^{3} b c - a^{4} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} b^{2} c d - 2 \, \sqrt{d x^{3} + c} b^{2} c^{2} d - {\left(d x^{3} + c\right)}^{\frac{3}{2}} a b d^{2} + 2 \, \sqrt{d x^{3} + c} a b c d^{2} - \sqrt{d x^{3} + c} a^{2} d^{3}}{3 \, {\left(a^{2} b c^{2} - a^{3} c d\right)} {\left({\left(d x^{3} + c\right)}^{2} b - 2 \, {\left(d x^{3} + c\right)} b c + b c^{2} + {\left(d x^{3} + c\right)} a d - a c d\right)}} - \frac{{\left(4 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{3} \sqrt{-c} c}"," ",0,"1/3*(4*b^3*c - 5*a*b^2*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b*c - a^4*d)*sqrt(-b^2*c + a*b*d)) - 1/3*(2*(d*x^3 + c)^(3/2)*b^2*c*d - 2*sqrt(d*x^3 + c)*b^2*c^2*d - (d*x^3 + c)^(3/2)*a*b*d^2 + 2*sqrt(d*x^3 + c)*a*b*c*d^2 - sqrt(d*x^3 + c)*a^2*d^3)/((a^2*b*c^2 - a^3*c*d)*((d*x^3 + c)^2*b - 2*(d*x^3 + c)*b*c + b*c^2 + (d*x^3 + c)*a*d - a*c*d)) - 1/3*(4*b*c + a*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^3*sqrt(-c)*c)","A",0
485,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^2/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
490,1,195,0,0.185142," ","integrate(x^8/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{{\left(4 \, a b c - a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x^{3} + c\right)} b^{2} c^{2} - 2 \, b^{2} c^{3} + 2 \, a b c^{2} d + {\left(d x^{3} + c\right)} a^{2} d^{2}}{3 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b - \sqrt{d x^{3} + c} b c + \sqrt{d x^{3} + c} a d\right)}}"," ",0,"-1/3*(4*a*b*c - a^2*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*sqrt(-b^2*c + a*b*d)) - 1/3*(2*(d*x^3 + c)*b^2*c^2 - 2*b^2*c^3 + 2*a*b*c^2*d + (d*x^3 + c)*a^2*d^2)/((b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*((d*x^3 + c)^(3/2)*b - sqrt(d*x^3 + c)*b*c + sqrt(d*x^3 + c)*a*d))","A",0
491,1,181,0,0.195709," ","integrate(x^5/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{\frac{{\left(2 \, b c d + a d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, {\left(d x^{3} + c\right)} b c d - 2 \, b c^{2} d + {\left(d x^{3} + c\right)} a d^{2} + 2 \, a c d^{2}}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b - \sqrt{d x^{3} + c} b c + \sqrt{d x^{3} + c} a d\right)}}}{3 \, d}"," ",0,"1/3*((2*b*c*d + a*d^2)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b^2*c + a*b*d)) + (2*(d*x^3 + c)*b*c*d - 2*b*c^2*d + (d*x^3 + c)*a*d^2 + 2*a*c*d^2)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*((d*x^3 + c)^(3/2)*b - sqrt(d*x^3 + c)*b*c + sqrt(d*x^3 + c)*a*d)))/d","A",0
492,1,153,0,0.206987," ","integrate(x^2/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{b d \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d}} - \frac{3 \, {\left(d x^{3} + c\right)} b d - 2 \, b c d + 2 \, a d^{2}}{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b - \sqrt{d x^{3} + c} b c + \sqrt{d x^{3} + c} a d\right)}}"," ",0,"-b*d*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b^2*c + a*b*d)) - 1/3*(3*(d*x^3 + c)*b*d - 2*b*c*d + 2*a*d^2)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*((d*x^3 + c)^(3/2)*b - sqrt(d*x^3 + c)*b*c + sqrt(d*x^3 + c)*a*d))","A",0
493,1,226,0,0.185379," ","integrate(1/x/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","-\frac{{\left(2 \, b^{3} c - 5 \, a b^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{{\left(d x^{3} + c\right)} b^{2} c d + 2 \, {\left(d x^{3} + c\right)} a b d^{2} - 2 \, a b c d^{2} + 2 \, a^{2} d^{3}}{3 \, {\left(a b^{2} c^{3} - 2 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} {\left({\left(d x^{3} + c\right)}^{\frac{3}{2}} b - \sqrt{d x^{3} + c} b c + \sqrt{d x^{3} + c} a d\right)}} + \frac{2 \, \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c} c}"," ",0,"-1/3*(2*b^3*c - 5*a*b^2*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2)*sqrt(-b^2*c + a*b*d)) + 1/3*((d*x^3 + c)*b^2*c*d + 2*(d*x^3 + c)*a*b*d^2 - 2*a*b*c*d^2 + 2*a^2*d^3)/((a*b^2*c^3 - 2*a^2*b*c^2*d + a^3*c*d^2)*((d*x^3 + c)^(3/2)*b - sqrt(d*x^3 + c)*b*c + sqrt(d*x^3 + c)*a*d)) + 2/3*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^2*sqrt(-c)*c)","A",0
494,1,367,0,0.221644," ","integrate(1/x^4/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{4} c - 7 \, a b^{3} d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, {\left(a^{3} b^{2} c^{2} - 2 \, a^{4} b c d + a^{5} d^{2}\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x^{3} + c\right)}^{2} b^{3} c^{2} d - 2 \, {\left(d x^{3} + c\right)} b^{3} c^{3} d - 2 \, {\left(d x^{3} + c\right)}^{2} a b^{2} c d^{2} + 3 \, {\left(d x^{3} + c\right)} a b^{2} c^{2} d^{2} + 3 \, {\left(d x^{3} + c\right)}^{2} a^{2} b d^{3} - 7 \, {\left(d x^{3} + c\right)} a^{2} b c d^{3} + 2 \, a^{2} b c^{2} d^{3} + 3 \, {\left(d x^{3} + c\right)} a^{3} d^{4} - 2 \, a^{3} c d^{4}}{3 \, {\left(a^{2} b^{2} c^{4} - 2 \, a^{3} b c^{3} d + a^{4} c^{2} d^{2}\right)} {\left({\left(d x^{3} + c\right)}^{\frac{5}{2}} b - 2 \, {\left(d x^{3} + c\right)}^{\frac{3}{2}} b c + \sqrt{d x^{3} + c} b c^{2} + {\left(d x^{3} + c\right)}^{\frac{3}{2}} a d - \sqrt{d x^{3} + c} a c d\right)}} - \frac{{\left(4 \, b c + 3 \, a d\right)} \arctan\left(\frac{\sqrt{d x^{3} + c}}{\sqrt{-c}}\right)}{3 \, a^{3} \sqrt{-c} c^{2}}"," ",0,"1/3*(4*b^4*c - 7*a*b^3*d)*arctan(sqrt(d*x^3 + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b^2*c^2 - 2*a^4*b*c*d + a^5*d^2)*sqrt(-b^2*c + a*b*d)) - 1/3*(2*(d*x^3 + c)^2*b^3*c^2*d - 2*(d*x^3 + c)*b^3*c^3*d - 2*(d*x^3 + c)^2*a*b^2*c*d^2 + 3*(d*x^3 + c)*a*b^2*c^2*d^2 + 3*(d*x^3 + c)^2*a^2*b*d^3 - 7*(d*x^3 + c)*a^2*b*c*d^3 + 2*a^2*b*c^2*d^3 + 3*(d*x^3 + c)*a^3*d^4 - 2*a^3*c*d^4)/((a^2*b^2*c^4 - 2*a^3*b*c^3*d + a^4*c^2*d^2)*((d*x^3 + c)^(5/2)*b - 2*(d*x^3 + c)^(3/2)*b*c + sqrt(d*x^3 + c)*b*c^2 + (d*x^3 + c)^(3/2)*a*d - sqrt(d*x^3 + c)*a*c*d)) - 1/3*(4*b*c + 3*a*d)*arctan(sqrt(d*x^3 + c)/sqrt(-c))/(a^3*sqrt(-c)*c^2)","A",0
495,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^2/(d*x^3+c)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
506,1,104,0,0.210801," ","integrate(x^5/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{\frac{{\left(b c + a d\right)} \log\left({\left| -\sqrt{b x^{3} + a} \sqrt{b d} + \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d} + \frac{\sqrt{b x^{3} + a} \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}}{b d}}{3 \, {\left| b \right|}}"," ",0,"1/3*((b*c + a*d)*log(abs(-sqrt(b*x^3 + a)*sqrt(b*d) + sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d)))/(sqrt(b*d)*d) + sqrt(b*x^3 + a)*sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d)/(b*d))/abs(b)","A",0
507,1,54,0,0.184047," ","integrate(x^2/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, b \log\left({\left| -\sqrt{b x^{3} + a} \sqrt{b d} + \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d} \right|}\right)}{3 \, \sqrt{b d} {\left| b \right|}}"," ",0,"-2/3*b*log(abs(-sqrt(b*x^3 + a)*sqrt(b*d) + sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d)))/(sqrt(b*d)*abs(b))","A",0
508,1,89,0,0.189816," ","integrate(1/x/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b d} b \arctan\left(-\frac{b^{2} c + a b d - {\left(\sqrt{b x^{3} + a} \sqrt{b d} - \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}\right)}^{2}}{2 \, \sqrt{-a b c d} b}\right)}{3 \, \sqrt{-a b c d} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*d)*b*arctan(-1/2*(b^2*c + a*b*d - (sqrt(b*x^3 + a)*sqrt(b*d) - sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d))^2)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*abs(b))","B",0
509,1,413,0,0.235411," ","integrate(1/x^4/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b d} b^{4} d {\left(\frac{{\left(b c + a d\right)} \arctan\left(-\frac{b^{2} c + a b d - {\left(\sqrt{b x^{3} + a} \sqrt{b d} - \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}\right)}^{2}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b^{3} c d} - \frac{2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2} - {\left(\sqrt{b x^{3} + a} \sqrt{b d} - \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}\right)}^{2} b c - {\left(\sqrt{b x^{3} + a} \sqrt{b d} - \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}\right)}^{2} a d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\left(\sqrt{b x^{3} + a} \sqrt{b d} - \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}\right)}^{2} b^{2} c - 2 \, {\left(\sqrt{b x^{3} + a} \sqrt{b d} - \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}\right)}^{2} a b d + {\left(\sqrt{b x^{3} + a} \sqrt{b d} - \sqrt{b^{2} c + {\left(b x^{3} + a\right)} b d - a b d}\right)}^{4}\right)} a b^{2} c d}\right)}}{3 \, {\left| b \right|}}"," ",0,"1/3*sqrt(b*d)*b^4*d*((b*c + a*d)*arctan(-1/2*(b^2*c + a*b*d - (sqrt(b*x^3 + a)*sqrt(b*d) - sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d))^2)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b^3*c*d) - 2*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2 - (sqrt(b*x^3 + a)*sqrt(b*d) - sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d))^2*b*c - (sqrt(b*x^3 + a)*sqrt(b*d) - sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d))^2*a*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*x^3 + a)*sqrt(b*d) - sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*x^3 + a)*sqrt(b*d) - sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*x^3 + a)*sqrt(b*d) - sqrt(b^2*c + (b*x^3 + a)*b*d - a*b*d))^4)*a*b^2*c*d))/abs(b)","B",0
510,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(1/2)/(d*x^3+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
516,1,251,0,0.753965," ","integrate((e*x)^(7/2)*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, x^{3} e^{\left(-1\right)} + \frac{a e^{\left(-1\right)}}{b}\right)} A x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{72} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, x^{3} e^{\left(-4\right)} + \frac{a e^{\left(-4\right)}}{b}\right)} x^{3} e^{3} - \frac{3 \, a^{2} e^{\left(-1\right)}}{b^{2}}\right)} B x^{\frac{3}{2}} e^{\frac{5}{2}} - \frac{{\left(B^{2} a^{6} e^{7} - 4 \, A B a^{5} b e^{7} + 4 \, A^{2} a^{4} b^{2} e^{7}\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -{\left(B a^{3} x^{\frac{3}{2}} e^{\frac{11}{2}} - 2 \, A a^{2} b x^{\frac{3}{2}} e^{\frac{11}{2}}\right)} \sqrt{b} e^{\frac{1}{2}} + \sqrt{B^{2} a^{7} e^{12} - 4 \, A B a^{6} b e^{12} + 4 \, A^{2} a^{5} b^{2} e^{12} + {\left(B a^{3} x^{\frac{3}{2}} e^{\frac{11}{2}} - 2 \, A a^{2} b x^{\frac{3}{2}} e^{\frac{11}{2}}\right)}^{2} b e} \right|}\right)}{24 \, b^{\frac{5}{2}} {\left| -B a^{3} e^{3} + 2 \, A a^{2} b e^{3} \right|}}"," ",0,"1/12*sqrt(b*x^3*e^4 + a*e^4)*(2*x^3*e^(-1) + a*e^(-1)/b)*A*x^(3/2)*e^(5/2) + 1/72*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*x^3*e^(-4) + a*e^(-4)/b)*x^3*e^3 - 3*a^2*e^(-1)/b^2)*B*x^(3/2)*e^(5/2) - 1/24*(B^2*a^6*e^7 - 4*A*B*a^5*b*e^7 + 4*A^2*a^4*b^2*e^7)*e^(-1/2)*log(abs(-(B*a^3*x^(3/2)*e^(11/2) - 2*A*a^2*b*x^(3/2)*e^(11/2))*sqrt(b)*e^(1/2) + sqrt(B^2*a^7*e^12 - 4*A*B*a^6*b*e^12 + 4*A^2*a^5*b^2*e^12 + (B*a^3*x^(3/2)*e^(11/2) - 2*A*a^2*b*x^(3/2)*e^(11/2))^2*b*e)))/(b^(5/2)*abs(-B*a^3*e^3 + 2*A*a^2*b*e^3))","A",0
517,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x^3+A)*(b*x^3+a)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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
519,1,137,0,0.419000," ","integrate((B*x^3+A)*(e*x)^(1/2)*(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, x^{3} e^{\left(-1\right)} + \frac{a e^{\left(-1\right)}}{b}\right)} B x^{\frac{3}{2}} e^{\left(-\frac{1}{2}\right)} + \frac{B a^{2} e^{\frac{1}{2}} \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} e^{2} + \sqrt{b x^{3} e^{4} + a e^{4}} \right|}\right)}{12 \, b^{\frac{3}{2}}} + \frac{1}{3} \, {\left(\sqrt{b x^{3} e^{4} + a e^{4}} x^{\frac{3}{2}} e^{\frac{3}{2}} - \frac{a e^{\frac{7}{2}} \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} e^{2} + \sqrt{b x^{3} e^{4} + a e^{4}} \right|}\right)}{\sqrt{b}}\right)} A e^{\left(-3\right)}"," ",0,"1/12*sqrt(b*x^3*e^4 + a*e^4)*(2*x^3*e^(-1) + a*e^(-1)/b)*B*x^(3/2)*e^(-1/2) + 1/12*B*a^2*e^(1/2)*log(abs(-sqrt(b)*x^(3/2)*e^2 + sqrt(b*x^3*e^4 + a*e^4)))/b^(3/2) + 1/3*(sqrt(b*x^3*e^4 + a*e^4)*x^(3/2)*e^(3/2) - a*e^(7/2)*log(abs(-sqrt(b)*x^(3/2)*e^2 + sqrt(b*x^3*e^4 + a*e^4)))/sqrt(b))*A*e^(-3)","A",0
520,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/(e*x)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
525,1,109,0,0.245746," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^(11/2),x, algorithm=""giac"")","-\frac{2 \, B b \arctan\left(\frac{\sqrt{b + \frac{a}{x^{3}}}}{\sqrt{-b}}\right)}{3 \, \sqrt{-b}} + \frac{2 \, {\left(3 \, B a b \arctan\left(\frac{\sqrt{b}}{\sqrt{-b}}\right) + 3 \, B a \sqrt{-b} \sqrt{b} + A \sqrt{-b} b^{\frac{3}{2}}\right)}}{9 \, a \sqrt{-b}} - \frac{2 \, {\left(3 \, B a^{3} \sqrt{b + \frac{a}{x^{3}}} + A a^{2} {\left(b + \frac{a}{x^{3}}\right)}^{\frac{3}{2}}\right)}}{9 \, a^{3}}"," ",0,"-2/3*B*b*arctan(sqrt(b + a/x^3)/sqrt(-b))/sqrt(-b) + 2/9*(3*B*a*b*arctan(sqrt(b)/sqrt(-b)) + 3*B*a*sqrt(-b)*sqrt(b) + A*sqrt(-b)*b^(3/2))/(a*sqrt(-b)) - 2/9*(3*B*a^3*sqrt(b + a/x^3) + A*a^2*(b + a/x^3)^(3/2))/a^3","A",0
526,0,0,0,0.000000," ","integrate((B*x^3+A)*(b*x^3+a)^(1/2)/x^(13/2),x, algorithm=""giac"")","\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
527,1,387,0,1.454513," ","integrate((e*x)^(7/2)*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, x^{3} e^{\left(-1\right)} + \frac{a e^{\left(-1\right)}}{b}\right)} A a x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{72} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, x^{3} e^{\left(-4\right)} + \frac{a e^{\left(-4\right)}}{b}\right)} x^{3} e^{3} - \frac{3 \, a^{2} e^{\left(-1\right)}}{b^{2}}\right)} B a x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{72} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, x^{3} e^{\left(-4\right)} + \frac{a e^{\left(-4\right)}}{b}\right)} x^{3} e^{3} - \frac{3 \, a^{2} e^{\left(-1\right)}}{b^{2}}\right)} A b x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{576} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, {\left(6 \, x^{3} e^{\left(-7\right)} + \frac{a e^{\left(-7\right)}}{b}\right)} x^{3} e^{3} - \frac{5 \, a^{2} e^{\left(-4\right)}}{b^{2}}\right)} x^{3} e^{3} + \frac{15 \, a^{3} e^{\left(-1\right)}}{b^{3}}\right)} B b x^{\frac{3}{2}} e^{\frac{5}{2}} - \frac{{\left(9 \, B^{2} a^{8} e^{7} - 48 \, A B a^{7} b e^{7} + 64 \, A^{2} a^{6} b^{2} e^{7}\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -{\left(3 \, B a^{4} x^{\frac{3}{2}} e^{\frac{11}{2}} - 8 \, A a^{3} b x^{\frac{3}{2}} e^{\frac{11}{2}}\right)} \sqrt{b} e^{\frac{1}{2}} + \sqrt{9 \, B^{2} a^{9} e^{12} - 48 \, A B a^{8} b e^{12} + 64 \, A^{2} a^{7} b^{2} e^{12} + {\left(3 \, B a^{4} x^{\frac{3}{2}} e^{\frac{11}{2}} - 8 \, A a^{3} b x^{\frac{3}{2}} e^{\frac{11}{2}}\right)}^{2} b e} \right|}\right)}{192 \, b^{\frac{5}{2}} {\left| -3 \, B a^{4} e^{3} + 8 \, A a^{3} b e^{3} \right|}}"," ",0,"1/12*sqrt(b*x^3*e^4 + a*e^4)*(2*x^3*e^(-1) + a*e^(-1)/b)*A*a*x^(3/2)*e^(5/2) + 1/72*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*x^3*e^(-4) + a*e^(-4)/b)*x^3*e^3 - 3*a^2*e^(-1)/b^2)*B*a*x^(3/2)*e^(5/2) + 1/72*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*x^3*e^(-4) + a*e^(-4)/b)*x^3*e^3 - 3*a^2*e^(-1)/b^2)*A*b*x^(3/2)*e^(5/2) + 1/576*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*(6*x^3*e^(-7) + a*e^(-7)/b)*x^3*e^3 - 5*a^2*e^(-4)/b^2)*x^3*e^3 + 15*a^3*e^(-1)/b^3)*B*b*x^(3/2)*e^(5/2) - 1/192*(9*B^2*a^8*e^7 - 48*A*B*a^7*b*e^7 + 64*A^2*a^6*b^2*e^7)*e^(-1/2)*log(abs(-(3*B*a^4*x^(3/2)*e^(11/2) - 8*A*a^3*b*x^(3/2)*e^(11/2))*sqrt(b)*e^(1/2) + sqrt(9*B^2*a^9*e^12 - 48*A*B*a^8*b*e^12 + 64*A^2*a^7*b^2*e^12 + (3*B*a^4*x^(3/2)*e^(11/2) - 8*A*a^3*b*x^(3/2)*e^(11/2))^2*b*e)))/(b^(5/2)*abs(-3*B*a^4*e^3 + 8*A*a^3*b*e^3))","B",0
528,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(b*x^3+a)^(3/2)*(B*x^3+A),x, algorithm=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)*(e*x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-2,[1,0,0,4]%%%}+%%%{-2,[0,1,6,1]%%%}+%%%{-2,[0,1,0,1]%%%},0,%%%{1,[2,0,0,8]%%%}+%%%{2,[1,1,6,5]%%%}+%%%{-2,[1,1,0,5]%%%}+%%%{1,[0,2,12,2]%%%}+%%%{-2,[0,2,6,2]%%%}+%%%{1,[0,2,0,2]%%%}] at parameters values [91,88.2886286299,-21,88]Warning, choosing root of [1,0,%%%{-2,[1,0,0,4]%%%}+%%%{-2,[0,1,6,1]%%%}+%%%{-2,[0,1,0,1]%%%},0,%%%{1,[2,0,0,8]%%%}+%%%{2,[1,1,6,5]%%%}+%%%{-2,[1,1,0,5]%%%}+%%%{1,[0,2,12,2]%%%}+%%%{-2,[0,2,6,2]%%%}+%%%{1,[0,2,0,2]%%%}] at parameters values [66,6.82230772497,-23,79]Warning, choosing root of [1,0,%%%{-2,[1,0,0,4]%%%}+%%%{-2,[0,1,6,1]%%%}+%%%{-2,[0,1,0,1]%%%},0,%%%{1,[2,0,0,8]%%%}+%%%{2,[1,1,6,5]%%%}+%%%{-2,[1,1,0,5]%%%}+%%%{1,[0,2,12,2]%%%}+%%%{-2,[0,2,6,2]%%%}+%%%{1,[0,2,0,2]%%%}] at parameters values [6,94.9264369817,-8,31]2*B*b*exp(1)/exp(3)*2*((17740800*b^10*exp(1)^4/638668800/b^10/exp(1)^11*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+4435200*b^9*exp(1)^7*a/638668800/b^10/exp(1)^11)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))-6652800*b^8*exp(1)^10*a^2/638668800/b^10/exp(1)^11)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))+2*A*b*exp(1)/exp(3)*2*(240*b^4*exp(1)/5760/b^4/exp(1)^5*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+120*b^3*exp(1)^4*a/5760/b^4/exp(1)^5)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))+2*B*a*exp(1)/exp(3)*2*(240*b^4*exp(1)/5760/b^4/exp(1)^5*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+120*b^3*exp(1)^4*a/5760/b^4/exp(1)^5)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))+2*A*a*exp(1)/exp(3)/exp(1)/3*(1/2*sqrt(x*exp(1))*x*exp(1)*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))-2*a*exp(1)^4/4/sqrt(b*exp(1))*ln(abs(sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))-sqrt(b*exp(1))*sqrt(x*exp(1))*x*exp(1))))-1/2*exp(1)/4/exp(1)*exp(3)/b/exp(3)/abs(2*b*a^2*A+B*a^3)/(4*exp(1)*b^2*a^4*A^2+4*exp(1)*b*B*a^5*A+exp(1)*B^2*a^6)^-1/3/sqrt(b*exp(1))*ln(abs(sqrt(4*A^2*a^5*b^2*exp(1)^6+4*A*B*a^6*b*exp(1)^6+B^2*a^7*exp(1)^6+9*b*(-B*a^3*exp(1)*sqrt(x*exp(1))*x*exp(1)/3-2*A*a^2*b*exp(1)*sqrt(x*exp(1))*x*exp(1)/3)^2*exp(1))-sqrt(9*b*exp(1))*(-B*a^3*exp(1)*sqrt(x*exp(1))*x*exp(1)/3-2*A*a^2*b*exp(1)*sqrt(x*exp(1))*x*exp(1)/3)))","F(-2)",0
531,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)*(B*x^3+A)/(e*x)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
535,1,563,0,1.488276," ","integrate((e*x)^(7/2)*(b*x^3+a)^(5/2)*(B*x^3+A),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, x^{3} e^{\left(-1\right)} + \frac{a e^{\left(-1\right)}}{b}\right)} A a^{2} x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{72} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, x^{3} e^{\left(-4\right)} + \frac{a e^{\left(-4\right)}}{b}\right)} x^{3} e^{3} - \frac{3 \, a^{2} e^{\left(-1\right)}}{b^{2}}\right)} B a^{2} x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{36} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, x^{3} e^{\left(-4\right)} + \frac{a e^{\left(-4\right)}}{b}\right)} x^{3} e^{3} - \frac{3 \, a^{2} e^{\left(-1\right)}}{b^{2}}\right)} A a b x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{288} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, {\left(6 \, x^{3} e^{\left(-7\right)} + \frac{a e^{\left(-7\right)}}{b}\right)} x^{3} e^{3} - \frac{5 \, a^{2} e^{\left(-4\right)}}{b^{2}}\right)} x^{3} e^{3} + \frac{15 \, a^{3} e^{\left(-1\right)}}{b^{3}}\right)} B a b x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{576} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, {\left(6 \, x^{3} e^{\left(-7\right)} + \frac{a e^{\left(-7\right)}}{b}\right)} x^{3} e^{3} - \frac{5 \, a^{2} e^{\left(-4\right)}}{b^{2}}\right)} x^{3} e^{3} + \frac{15 \, a^{3} e^{\left(-1\right)}}{b^{3}}\right)} A b^{2} x^{\frac{3}{2}} e^{\frac{5}{2}} + \frac{1}{5760} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(2 \, {\left(4 \, {\left(6 \, {\left(8 \, x^{3} e^{\left(-10\right)} + \frac{a e^{\left(-10\right)}}{b}\right)} x^{3} e^{3} - \frac{7 \, a^{2} e^{\left(-7\right)}}{b^{2}}\right)} x^{3} e^{3} + \frac{35 \, a^{3} e^{\left(-4\right)}}{b^{3}}\right)} x^{3} e^{3} - \frac{105 \, a^{4} e^{\left(-1\right)}}{b^{4}}\right)} B b^{2} x^{\frac{3}{2}} e^{\frac{5}{2}} - \frac{{\left(9 \, B^{2} a^{10} e^{7} - 60 \, A B a^{9} b e^{7} + 100 \, A^{2} a^{8} b^{2} e^{7}\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -{\left(3 \, B a^{5} x^{\frac{3}{2}} e^{\frac{11}{2}} - 10 \, A a^{4} b x^{\frac{3}{2}} e^{\frac{11}{2}}\right)} \sqrt{b} e^{\frac{1}{2}} + \sqrt{9 \, B^{2} a^{11} e^{12} - 60 \, A B a^{10} b e^{12} + 100 \, A^{2} a^{9} b^{2} e^{12} + {\left(3 \, B a^{5} x^{\frac{3}{2}} e^{\frac{11}{2}} - 10 \, A a^{4} b x^{\frac{3}{2}} e^{\frac{11}{2}}\right)}^{2} b e} \right|}\right)}{384 \, b^{\frac{5}{2}} {\left| -3 \, B a^{5} e^{3} + 10 \, A a^{4} b e^{3} \right|}}"," ",0,"1/12*sqrt(b*x^3*e^4 + a*e^4)*(2*x^3*e^(-1) + a*e^(-1)/b)*A*a^2*x^(3/2)*e^(5/2) + 1/72*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*x^3*e^(-4) + a*e^(-4)/b)*x^3*e^3 - 3*a^2*e^(-1)/b^2)*B*a^2*x^(3/2)*e^(5/2) + 1/36*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*x^3*e^(-4) + a*e^(-4)/b)*x^3*e^3 - 3*a^2*e^(-1)/b^2)*A*a*b*x^(3/2)*e^(5/2) + 1/288*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*(6*x^3*e^(-7) + a*e^(-7)/b)*x^3*e^3 - 5*a^2*e^(-4)/b^2)*x^3*e^3 + 15*a^3*e^(-1)/b^3)*B*a*b*x^(3/2)*e^(5/2) + 1/576*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*(6*x^3*e^(-7) + a*e^(-7)/b)*x^3*e^3 - 5*a^2*e^(-4)/b^2)*x^3*e^3 + 15*a^3*e^(-1)/b^3)*A*b^2*x^(3/2)*e^(5/2) + 1/5760*sqrt(b*x^3*e^4 + a*e^4)*(2*(4*(6*(8*x^3*e^(-10) + a*e^(-10)/b)*x^3*e^3 - 7*a^2*e^(-7)/b^2)*x^3*e^3 + 35*a^3*e^(-4)/b^3)*x^3*e^3 - 105*a^4*e^(-1)/b^4)*B*b^2*x^(3/2)*e^(5/2) - 1/384*(9*B^2*a^10*e^7 - 60*A*B*a^9*b*e^7 + 100*A^2*a^8*b^2*e^7)*e^(-1/2)*log(abs(-(3*B*a^5*x^(3/2)*e^(11/2) - 10*A*a^4*b*x^(3/2)*e^(11/2))*sqrt(b)*e^(1/2) + sqrt(9*B^2*a^11*e^12 - 60*A*B*a^10*b*e^12 + 100*A^2*a^9*b^2*e^12 + (3*B*a^5*x^(3/2)*e^(11/2) - 10*A*a^4*b*x^(3/2)*e^(11/2))^2*b*e)))/(b^(5/2)*abs(-3*B*a^5*e^3 + 10*A*a^4*b*e^3))","B",0
536,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(b*x^3+a)^(5/2)*(B*x^3+A),x, algorithm=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate((b*x^3+a)^(5/2)*(B*x^3+A)*(e*x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-2,[1,0,0,4]%%%}+%%%{-2,[0,1,6,1]%%%}+%%%{-2,[0,1,0,1]%%%},0,%%%{1,[2,0,0,8]%%%}+%%%{2,[1,1,6,5]%%%}+%%%{-2,[1,1,0,5]%%%}+%%%{1,[0,2,12,2]%%%}+%%%{-2,[0,2,6,2]%%%}+%%%{1,[0,2,0,2]%%%}] at parameters values [91,88.2886286299,-21,88]Warning, choosing root of [1,0,%%%{-2,[1,0,0,4]%%%}+%%%{-2,[0,1,6,1]%%%}+%%%{-2,[0,1,0,1]%%%},0,%%%{1,[2,0,0,8]%%%}+%%%{2,[1,1,6,5]%%%}+%%%{-2,[1,1,0,5]%%%}+%%%{1,[0,2,12,2]%%%}+%%%{-2,[0,2,6,2]%%%}+%%%{1,[0,2,0,2]%%%}] at parameters values [66,6.82230772497,-23,79]Warning, choosing root of [1,0,%%%{-2,[1,0,0,4]%%%}+%%%{-2,[0,1,6,1]%%%}+%%%{-2,[0,1,0,1]%%%},0,%%%{1,[2,0,0,8]%%%}+%%%{2,[1,1,6,5]%%%}+%%%{-2,[1,1,0,5]%%%}+%%%{1,[0,2,12,2]%%%}+%%%{-2,[0,2,6,2]%%%}+%%%{1,[0,2,0,2]%%%}] at parameters values [6,94.9264369817,-8,31]2*B*b^2*exp(1)/exp(3)*2*(((26347216896000*b^16*exp(1)^7/1264666411008000/b^16/exp(1)^17*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+4391202816000*b^15*exp(1)^10*a/1264666411008000/b^16/exp(1)^17)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))-5489003520000*b^14*exp(1)^13*a^2/1264666411008000/b^16/exp(1)^17)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+8233505280000*b^13*exp(1)^16*a^3/1264666411008000/b^16/exp(1)^17)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))+2*A*b^2*exp(1)/exp(3)*2*((17740800*b^10*exp(1)^4/638668800/b^10/exp(1)^11*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+4435200*b^9*exp(1)^7*a/638668800/b^10/exp(1)^11)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))-6652800*b^8*exp(1)^10*a^2/638668800/b^10/exp(1)^11)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))+2*B*a^2*exp(1)/exp(3)*2*(240*b^4*exp(1)/5760/b^4/exp(1)^5*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+120*b^3*exp(1)^4*a/5760/b^4/exp(1)^5)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))+4*A*a*b*exp(1)/exp(3)*2*(240*b^4*exp(1)/5760/b^4/exp(1)^5*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+120*b^3*exp(1)^4*a/5760/b^4/exp(1)^5)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))+2*A*a^2*exp(1)/exp(3)/exp(1)/3*(1/2*sqrt(x*exp(1))*x*exp(1)*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))-2*a*exp(1)^4/4/sqrt(b*exp(1))*ln(abs(sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))-sqrt(b*exp(1))*sqrt(x*exp(1))*x*exp(1))))+4*B*a*b*exp(1)/exp(3)*2*((17740800*b^10*exp(1)^4/638668800/b^10/exp(1)^11*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))+4435200*b^9*exp(1)^7*a/638668800/b^10/exp(1)^11)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))-6652800*b^8*exp(1)^10*a^2/638668800/b^10/exp(1)^11)*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(x*exp(1))*sqrt(a*exp(1)^4+b*(x*exp(1))^3*exp(1))-1/2*exp(1)/32/exp(1)*exp(3)/b/exp(3)/abs(24*b*a^3*A+5*B*a^4)/(576*exp(1)*b^2*a^6*A^2+240*exp(1)*b*B*a^7*A+25*exp(1)*B^2*a^8)^-1/3/sqrt(b*exp(1))*ln(abs(sqrt(576*A^2*a^7*b^2*exp(1)^6+240*A*B*a^8*b*exp(1)^6+25*B^2*a^9*exp(1)^6+9*b*(-5*B*a^4*exp(1)*sqrt(x*exp(1))*x*exp(1)/3-24*A*a^3*b*exp(1)*sqrt(x*exp(1))*x*exp(1)/3)^2*exp(1))-sqrt(9*b*exp(1))*(-5*B*a^4*exp(1)*sqrt(x*exp(1))*x*exp(1)/3-24*A*a^3*b*exp(1)*sqrt(x*exp(1))*x*exp(1)/3)))","F(-2)",0
539,0,0,0,0.000000," ","integrate((b*x^3+a)^(5/2)*(B*x^3+A)/(e*x)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
543,1,114,0,0.364593," ","integrate((e*x)^(7/2)*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{b x^{3} e^{4} + a e^{4}} {\left(\frac{2 \, B x^{3} e^{\left(-2\right)}}{b} - \frac{{\left(3 \, B a b^{3} e^{5} - 4 \, A b^{4} e^{5}\right)} e^{\left(-7\right)}}{b^{5}}\right)} x^{\frac{3}{2}} e^{\frac{7}{2}} - \frac{{\left(3 \, B a^{2} b^{3} e^{9} - 4 \, A a b^{4} e^{9}\right)} e^{\left(-\frac{11}{2}\right)} \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} e^{2} + \sqrt{b x^{3} e^{4} + a e^{4}} \right|}\right)}{12 \, b^{\frac{11}{2}}}"," ",0,"1/12*sqrt(b*x^3*e^4 + a*e^4)*(2*B*x^3*e^(-2)/b - (3*B*a*b^3*e^5 - 4*A*b^4*e^5)*e^(-7)/b^5)*x^(3/2)*e^(7/2) - 1/12*(3*B*a^2*b^3*e^9 - 4*A*a*b^4*e^9)*e^(-11/2)*log(abs(-sqrt(b)*x^(3/2)*e^2 + sqrt(b*x^3*e^4 + a*e^4)))/b^(11/2)","A",0
544,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x^3+A)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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
546,1,72,0,0.363275," ","integrate((B*x^3+A)*(e*x)^(1/2)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{3} e^{4} + a e^{4}} B x^{\frac{3}{2}} e^{\left(-\frac{3}{2}\right)}}{3 \, b} + \frac{{\left(B a e^{5} - 2 \, A b e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} e^{2} + \sqrt{b x^{3} e^{4} + a e^{4}} \right|}\right)}{3 \, b^{\frac{3}{2}}}"," ",0,"1/3*sqrt(b*x^3*e^4 + a*e^4)*B*x^(3/2)*e^(-3/2)/b + 1/3*(B*a*e^5 - 2*A*b*e^5)*e^(-9/2)*log(abs(-sqrt(b)*x^(3/2)*e^2 + sqrt(b*x^3*e^4 + a*e^4)))/b^(3/2)","A",0
547,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(1/2)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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
549,1,110,0,0.260367," ","integrate((B*x^3+A)/(e*x)^(5/2)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","-\frac{2}{3} \, {\left({\left(\frac{B \arctan\left(\frac{\sqrt{b e + \frac{a e}{x^{3}}}}{\sqrt{-b e}}\right)}{\sqrt{-b e}} + \frac{\sqrt{b e + \frac{a e}{x^{3}}} A e^{\left(-1\right)}}{a}\right)} e^{\left(-1\right)} - \frac{{\left(B a \arctan\left(\frac{\sqrt{b} e^{\frac{1}{2}}}{\sqrt{-b e}}\right) e + \sqrt{-b e} A \sqrt{b} e^{\frac{1}{2}}\right)} e^{\left(-2\right)}}{\sqrt{-b e} a}\right)} e^{\left(-1\right)}"," ",0,"-2/3*((B*arctan(sqrt(b*e + a*e/x^3)/sqrt(-b*e))/sqrt(-b*e) + sqrt(b*e + a*e/x^3)*A*e^(-1)/a)*e^(-1) - (B*a*arctan(sqrt(b)*e^(1/2)/sqrt(-b*e))*e + sqrt(-b*e)*A*sqrt(b)*e^(1/2))*e^(-2)/(sqrt(-b*e)*a))*e^(-1)","A",0
550,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(7/2)/(b*x^3+a)^(1/2),x, algorithm=""giac"")","\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
551,1,107,0,0.366213," ","integrate((e*x)^(7/2)*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""giac"")","\frac{{\left(\frac{B x^{3} e^{4}}{b} + \frac{3 \, B a b^{3} e^{4} - 2 \, A b^{4} e^{4}}{b^{5}}\right)} x^{\frac{3}{2}} e^{\frac{3}{2}}}{3 \, \sqrt{b x^{3} e^{4} + a e^{4}}} + \frac{{\left(3 \, B a b^{3} e^{4} - 2 \, A b^{4} e^{4}\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} e^{2} + \sqrt{b x^{3} e^{4} + a e^{4}} \right|}\right)}{3 \, b^{\frac{11}{2}}}"," ",0,"1/3*(B*x^3*e^4/b + (3*B*a*b^3*e^4 - 2*A*b^4*e^4)/b^5)*x^(3/2)*e^(3/2)/sqrt(b*x^3*e^4 + a*e^4) + 1/3*(3*B*a*b^3*e^4 - 2*A*b^4*e^4)*e^(-1/2)*log(abs(-sqrt(b)*x^(3/2)*e^2 + sqrt(b*x^3*e^4 + a*e^4)))/b^(11/2)","A",0
552,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x^3+A)/(b*x^3+a)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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
554,1,75,0,0.619463," ","integrate((B*x^3+A)*(e*x)^(1/2)/(b*x^3+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, B e^{\frac{1}{2}} \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} e^{2} + \sqrt{b x^{3} e^{4} + a e^{4}} \right|}\right)}{3 \, b^{\frac{3}{2}}} - \frac{2 \, {\left(B a e - A b e\right)} x^{\frac{3}{2}} e^{\frac{3}{2}}}{3 \, \sqrt{b x^{3} e^{4} + a e^{4}} a b}"," ",0,"-2/3*B*e^(1/2)*log(abs(-sqrt(b)*x^(3/2)*e^2 + sqrt(b*x^3*e^4 + a*e^4)))/b^(3/2) - 2/3*(B*a*e - A*b*e)*x^(3/2)*e^(3/2)/(sqrt(b*x^3*e^4 + a*e^4)*a*b)","A",0
555,0,0,0,0.000000," ","integrate((B*x^3+A)/(b*x^3+a)^(3/2)/(e*x)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
559,1,102,0,0.475723," ","integrate((e*x)^(7/2)*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, x^{\frac{3}{2}} {\left(\frac{3 \, B a e^{8}}{b^{2}} + \frac{{\left(4 \, B a^{5} b^{6} e^{24} - A a^{4} b^{7} e^{24}\right)} x^{3} e^{\left(-16\right)}}{a^{5} b^{7}}\right)} e^{\frac{3}{2}}}{9 \, {\left(b x^{3} e^{4} + a e^{4}\right)}^{\frac{3}{2}}} - \frac{2 \, B e^{\frac{7}{2}} \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} e^{2} + \sqrt{b x^{3} e^{4} + a e^{4}} \right|}\right)}{3 \, b^{\frac{5}{2}}}"," ",0,"-2/9*x^(3/2)*(3*B*a*e^8/b^2 + (4*B*a^5*b^6*e^24 - A*a^4*b^7*e^24)*x^3*e^(-16)/(a^5*b^7))*e^(3/2)/(b*x^3*e^4 + a*e^4)^(3/2) - 2/3*B*e^(7/2)*log(abs(-sqrt(b)*x^(3/2)*e^2 + sqrt(b*x^3*e^4 + a*e^4)))/b^(5/2)","A",0
560,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{5}{2}}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(5/2)/(b*x^3 + a)^(5/2), x)","F",0
561,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x^3+A)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{3} + A\right)} \left(e x\right)^{\frac{3}{2}}}{{\left(b x^{3} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^3 + A)*(e*x)^(3/2)/(b*x^3 + a)^(5/2), x)","F",0
562,1,64,0,0.323560," ","integrate((B*x^3+A)*(e*x)^(1/2)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, x^{\frac{3}{2}} {\left(\frac{3 \, A e^{5}}{a} + \frac{{\left(B a^{5} b^{5} e^{21} + 2 \, A a^{4} b^{6} e^{21}\right)} x^{3} e^{\left(-16\right)}}{a^{6} b^{5}}\right)} e^{\frac{3}{2}}}{9 \, {\left(b x^{3} e^{4} + a e^{4}\right)}^{\frac{3}{2}}}"," ",0,"2/9*x^(3/2)*(3*A*e^5/a + (B*a^5*b^5*e^21 + 2*A*a^4*b^6*e^21)*x^3*e^(-16)/(a^6*b^5))*e^(3/2)/(b*x^3*e^4 + a*e^4)^(3/2)","A",0
563,0,0,0,0.000000," ","integrate((B*x^3+A)/(b*x^3+a)^(5/2)/(e*x)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{3} + A}{{\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
564,0,0,0,0.000000," ","integrate((B*x^3+A)/(e*x)^(3/2)/(b*x^3+a)^(5/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate(x^11*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofa^3*(2*a)^(1/3)*1/6/b^4/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))+a^3*(2*a)^(1/3)/sqrt(3)/b^4/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*a^4*b^40*d^10*(2*a)^(1/3)*1/6/a/b^44/d^11*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(1/10*(a+b*x^3)^(1/3)*(a+b*x^3)^3*b^36*d^9-1/7*(a+b*x^3)^(1/3)*(a+b*x^3)^2*a*b^36*d^9+1/4*(a+b*x^3)^(1/3)*(a+b*x^3)*a^2*b^36*d^9+(a+b*x^3)^(1/3)*a^3*b^36*d^9)/b^40/d^10","F(-2)",0
568,-2,0,0,0.000000," ","integrate(x^8*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofa^2*(2*a)^(1/3)*1/6/b^3/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))+a^2*(2*a)^(1/3)/sqrt(3)/b^3/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*a^3*b^21*d^7*(2*a)^(1/3)*1/6/a/b^24/d^8*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(1/7*(a+b*x^3)^(1/3)*(a+b*x^3)^2*b^18*d^6+(a+b*x^3)^(1/3)*a^2*b^18*d^6)/b^21/d^7","F(-2)",0
569,-2,0,0,0.000000," ","integrate(x^5*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofa*(2*a)^(1/3)*1/6/b^2/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))+a*(2*a)^(1/3)/sqrt(3)/b^2/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*a^2*b^8*d^4*(2*a)^(1/3)*1/6/a/b^10/d^5*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(1/4*(a+b*x^3)^(1/3)*(a+b*x^3)*b^6*d^3+(a+b*x^3)^(1/3)*a*b^6*d^3)/b^8/d^4","F(-2)",0
570,-2,0,0,0.000000," ","integrate(x^2*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootof(2*a)^(1/3)*1/6/b/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))+(2*a)^(1/3)/sqrt(3)/b/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*a*b*d*(2*a)^(1/3)*1/6/a/b^2/d^2*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(a+b*x^3)^(1/3)/b/d","F(-2)",0
571,-2,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootof1/3/((2*a)^(1/3))^2/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))+(2*a)^(1/3)/sqrt(3)/a/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*1/6/a/d*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-a^(1/3)*1/6/a/d*ln(((a+b*x^3)^(1/3))^2+a^(1/3)*(a+b*x^3)^(1/3)+a^(1/3)*a^(1/3))-a^(1/3)/sqrt(3)/a/d*atan(((a+b*x^3)^(1/3)+1/2*a^(1/3))/sqrt(3)*2/a^(1/3))+a^(1/3)*1/3/a/d*ln(abs((a+b*x^3)^(1/3)-a^(1/3)))","F(-2)",0
572,-2,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^4/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofb/3/a/((2*a)^(1/3))^2/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))+(2*a)^(1/3)*b/sqrt(3)/a^2/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*b*(2*a)^(1/3)*1/6/a^2/d*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-2*a^(1/3)*b*1/9/a^2/d*ln(((a+b*x^3)^(1/3))^2+a^(1/3)*(a+b*x^3)^(1/3)+a^(1/3)*a^(1/3))-4*a^(1/3)*b/3/sqrt(3)/a^2/d*atan(((a+b*x^3)^(1/3)+1/2*a^(1/3))/sqrt(3)*2/a^(1/3))+4*b*a^(1/3)*1/9/a^2/d*ln(abs((a+b*x^3)^(1/3)-a^(1/3)))-(a+b*x^3)^(1/3)*b/3/a/d/(a+b*x^3-a)","F(-2)",0
573,-2,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^7/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofb^2/3/a^2/((2*a)^(1/3))^2/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))+(2*a)^(1/3)*b^2/sqrt(3)/a^3/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*b^2*(2*a)^(1/3)*1/6/a^3/d*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-11*a^(1/3)*b^2*1/54/a^3/d*ln(((a+b*x^3)^(1/3))^2+a^(1/3)*(a+b*x^3)^(1/3)+a^(1/3)*a^(1/3))-11*a^(1/3)*b^2/9/sqrt(3)/a^3/d*atan(((a+b*x^3)^(1/3)+1/2*a^(1/3))/sqrt(3)*2/a^(1/3))+11*b^2*a^(1/3)*1/27/a^3/d*ln(abs((a+b*x^3)^(1/3)-a^(1/3)))-(7*(a+b*x^3)^(1/3)*(a+b*x^3)*b^2-4*(a+b*x^3)^(1/3)*a*b^2)/18/a^2/d/(a+b*x^3-a)^2","F(-2)",0
574,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(1/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate(x^11*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofa^3*((2*a)^(1/3))^2*1/6/b^4/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))-a^3*((2*a)^(1/3))^2/sqrt(3)/b^4/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*a^4*b^44*d^11*(2*a)^(1/3)*1/6/a/b^48/d^12*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(1/11*((a+b*x^3)^(1/3))^2*(a+b*x^3)^3*b^40*d^10-1/8*((a+b*x^3)^(1/3))^2*(a+b*x^3)^2*a*b^40*d^10+1/5*((a+b*x^3)^(1/3))^2*(a+b*x^3)*a^2*b^40*d^10+1/2*((a+b*x^3)^(1/3))^2*a^3*b^40*d^10)/b^44/d^11","F(-2)",0
587,-2,0,0,0.000000," ","integrate(x^8*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofa^2*((2*a)^(1/3))^2*1/6/b^3/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))-a^2*((2*a)^(1/3))^2/sqrt(3)/b^3/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*a^3*b^24*d^8*(2*a)^(1/3)*1/6/a/b^27/d^9*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(1/8*((a+b*x^3)^(1/3))^2*(a+b*x^3)^2*b^21*d^7+1/2*((a+b*x^3)^(1/3))^2*a^2*b^21*d^7)/b^24/d^8","F(-2)",0
588,-2,0,0,0.000000," ","integrate(x^5*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofa*((2*a)^(1/3))^2*1/6/b^2/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))-a*((2*a)^(1/3))^2/sqrt(3)/b^2/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*a^2*b^10*d^5*(2*a)^(1/3)*1/6/a/b^12/d^6*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(1/5*((a+b*x^3)^(1/3))^2*(a+b*x^3)*b^8*d^4+1/2*((a+b*x^3)^(1/3))^2*a*b^8*d^4)/b^10/d^5","F(-2)",0
589,-2,0,0,0.000000," ","integrate(x^2*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootof((2*a)^(1/3))^2*1/6/b/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))-((2*a)^(1/3))^2/sqrt(3)/b/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*a*b^2*d^2*(2*a)^(1/3)*1/6/a/b^3/d^3*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-1/2*((a+b*x^3)^(1/3))^2*b*d/b^2/d^2","F(-2)",0
590,-2,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootof1/3/(2*a)^(1/3)/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))-((2*a)^(1/3))^2/sqrt(3)/a/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*(2*a)^(1/3)*1/6/a/d*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-(a^(1/3))^2*1/6/a/d*ln(((a+b*x^3)^(1/3))^2+a^(1/3)*(a+b*x^3)^(1/3)+a^(1/3)*a^(1/3))+1/sqrt(3)/a^(1/3)/d*atan(((a+b*x^3)^(1/3)+1/2*a^(1/3))/sqrt(3)*2/a^(1/3))+a^(1/3)*a^(1/3)*1/3/a/d*ln(abs((a+b*x^3)^(1/3)-a^(1/3)))","F(-2)",0
591,-2,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^4/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofb/3/a/(2*a)^(1/3)/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))-((2*a)^(1/3))^2*b/sqrt(3)/a^2/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*b*(2*a)^(1/3)*1/6/a^2/d*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-5*(a^(1/3))^2*b*1/18/a^2/d*ln(((a+b*x^3)^(1/3))^2+a^(1/3)*(a+b*x^3)^(1/3)+a^(1/3)*a^(1/3))+5*b/3/sqrt(3)/a/a^(1/3)/d*atan(((a+b*x^3)^(1/3)+1/2*a^(1/3))/sqrt(3)*2/a^(1/3))+5*a^(1/3)*b*a^(1/3)*1/9/a^2/d*ln(abs((a+b*x^3)^(1/3)-a^(1/3)))-((a+b*x^3)^(1/3))^2*b/3/a/d/(a+b*x^3-a)","F(-2)",0
592,-2,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^7/(-b*d*x^3+a*d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Algebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofAlgebraic extensions not allowed in a rootofb^2/3/a^2/(2*a)^(1/3)/d*ln(((a+b*x^3)^(1/3))^2+(2*a)^(1/3)*(a+b*x^3)^(1/3)+(2*a)^(1/3)*(2*a)^(1/3))-((2*a)^(1/3))^2*b^2/sqrt(3)/a^3/d*atan(((a+b*x^3)^(1/3)+1/2*(2*a)^(1/3))/sqrt(3)*2/(2*a)^(1/3))-2*(2*a)^(1/3)*b^2*(2*a)^(1/3)*1/6/a^3/d*ln(abs((a+b*x^3)^(1/3)-(2*a)^(1/3)))-7*(a^(1/3))^2*b^2*1/27/a^3/d*ln(((a+b*x^3)^(1/3))^2+a^(1/3)*(a+b*x^3)^(1/3)+a^(1/3)*a^(1/3))+14*b^2/9/sqrt(3)/a^2/a^(1/3)/d*atan(((a+b*x^3)^(1/3)+1/2*a^(1/3))/sqrt(3)*2/a^(1/3))+14*a^(1/3)*b^2*a^(1/3)*1/27/a^3/d*ln(abs((a+b*x^3)^(1/3)-a^(1/3)))+(-8*((a+b*x^3)^(1/3))^2*(a+b*x^3)*b^2+5*((a+b*x^3)^(1/3))^2*a*b^2)/18/a^2/d/(a+b*x^3-a)^2","F(-2)",0
593,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(2/3)/(-b*d*x^3+a*d),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
605,1,134,0,0.172551," ","integrate(x^14/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","-\frac{1}{11} \, {\left(x^{3} - 1\right)}^{3} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - \frac{1}{4} \, {\left(x^{3} - 1\right)}^{2} {\left(-x^{3} + 1\right)}^{\frac{2}{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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right)"," ",0,"-1/11*(x^3 - 1)^3*(-x^3 + 1)^(2/3) - 1/4*(x^3 - 1)^2*(-x^3 + 1)^(2/3) + 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(abs(-2^(1/3) + (-x^3 + 1)^(1/3)))","A",0
606,1,127,0,0.175612," ","integrate(x^11/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","-\frac{1}{8} \, {\left(x^{3} - 1\right)}^{2} {\left(-x^{3} + 1\right)}^{\frac{2}{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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) - \frac{1}{2} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}"," ",0,"-1/8*(x^3 - 1)^2*(-x^3 + 1)^(2/3) - 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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) - 1/2*(-x^3 + 1)^(2/3)","A",0
607,1,98,0,0.200556," ","integrate(x^8/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3)))","A",0
608,1,98,0,0.176112," ","integrate(x^5/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","-\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) - 1/2*(-x^3 + 1)^(2/3)","A",0
609,1,87,0,0.181420," ","integrate(x^2/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3)))","A",0
610,1,149,0,0.196807," ","integrate(1/x/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","-\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
611,1,163,0,0.187512," ","integrate(1/x^4/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) - \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{3 \, x^{3}} + \frac{1}{9} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{2}{9} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) - 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) - 1/3*(-x^3 + 1)^(2/3)/x^3 + 1/9*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) - 2/9*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
612,0,0,0,0.000000," ","integrate(x^6/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
623,1,127,0,0.179172," ","integrate(x^11/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","-\frac{1}{7} \, {\left(x^{3} - 1\right)}^{2} {\left(-x^{3} + 1\right)}^{\frac{1}{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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) - {\left(-x^{3} + 1\right)}^{\frac{1}{3}}"," ",0,"-1/7*(x^3 - 1)^2*(-x^3 + 1)^(1/3) + 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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) - (-x^3 + 1)^(1/3)","A",0
624,1,98,0,0.178271," ","integrate(x^8/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","-\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3)))","A",0
625,1,98,0,0.233758," ","integrate(x^5/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) - (-x^3 + 1)^(1/3)","A",0
626,1,87,0,0.196702," ","integrate(x^2/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","-\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3)))","A",0
627,1,149,0,0.240414," ","integrate(1/x/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","\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}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\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))) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) + 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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
628,1,163,0,0.215287," ","integrate(1/x^4/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","-\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}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) - \frac{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x^{3}} + \frac{1}{18} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{9} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\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))) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) - 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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) - 1/3*(-x^3 + 1)^(1/3)/x^3 + 1/18*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) - 1/9*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
629,0,0,0,0.000000," ","integrate(x^7/(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
638,1,136,0,0.194545," ","integrate(x^14/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","\frac{1}{8} \, {\left(x^{3} - 1\right)}^{2} {\left(-x^{3} + 1\right)}^{\frac{2}{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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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)^2*(-x^3 + 1)^(2/3) + 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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + (-x^3 + 1)^(2/3) + 1/2/(-x^3 + 1)^(1/3)","A",0
639,1,120,0,0.180500," ","integrate(x^11/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","-\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + 1/2*(-x^3 + 1)^(2/3) + 1/2/(-x^3 + 1)^(1/3)","A",0
640,1,109,0,0.175284," ","integrate(x^8/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + 1/2*(-x^3 + 1)^(2/3) + 1/2/(-x^3 + 1)^(1/3)","A",0
641,1,98,0,0.183574," ","integrate(x^5/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","-\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + 1/2/(-x^3 + 1)^(1/3)","A",0
642,1,98,0,0.192825," ","integrate(x^2/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + 1/2/(-x^3 + 1)^(1/3)","A",0
643,1,160,0,0.186867," ","integrate(1/x/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","-\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{1}{2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}} - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\right)"," ",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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) + 1/2/(-x^3 + 1)^(1/3) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
644,1,181,0,0.214782," ","integrate(1/x^4/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","\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({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right) + \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{5 \, x^{3} - 2}{6 \, {\left({\left(-x^{3} + 1\right)}^{\frac{4}{3}} - {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}} - \frac{1}{18} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{9} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\right)"," ",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(abs(-2^(1/3) + (-x^3 + 1)^(1/3))) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) - 1/6*(5*x^3 - 2)/((-x^3 + 1)^(4/3) - (-x^3 + 1)^(1/3)) - 1/18*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/9*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
645,0,0,0,0.000000," ","integrate(x^9/(-x^3+1)^(4/3)/(x^3+1),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
658,1,379,0,0.291955," ","integrate(x^11*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b^{34} c^{4} d^{6} - a b^{33} c^{3} d^{7}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{34} c d^{10} - a b^{33} d^{11}\right)}} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{5}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{3} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{5}} - \frac{140 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{30} c^{3} d^{6} - 35 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{29} c^{2} d^{7} + 20 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b^{28} c d^{8} - 35 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a b^{28} c d^{8} - 14 \, {\left(b x^{3} + a\right)}^{\frac{10}{3}} b^{27} d^{9} + 40 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} a b^{27} d^{9} - 35 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a^{2} b^{27} d^{9}}{140 \, b^{30} d^{10}}"," ",0,"-1/3*(b^34*c^4*d^6 - a*b^33*c^3*d^7)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^34*c*d^10 - a*b^33*d^11) + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*c^3*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^5 + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*c^3*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^5 - 1/140*(140*(b*x^3 + a)^(1/3)*b^30*c^3*d^6 - 35*(b*x^3 + a)^(4/3)*b^29*c^2*d^7 + 20*(b*x^3 + a)^(7/3)*b^28*c*d^8 - 35*(b*x^3 + a)^(4/3)*a*b^28*c*d^8 - 14*(b*x^3 + a)^(10/3)*b^27*d^9 + 40*(b*x^3 + a)^(7/3)*a*b^27*d^9 - 35*(b*x^3 + a)^(4/3)*a^2*b^27*d^9)/(b^30*d^10)","A",0
659,1,320,0,0.253040," ","integrate(x^8*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b^{17} c^{3} d^{4} - a b^{16} c^{2} d^{5}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{17} c d^{7} - a b^{16} d^{8}\right)}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{4}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{2} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{4}} + \frac{28 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{14} c^{2} d^{4} - 7 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{13} c d^{5} + 4 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b^{12} d^{6} - 7 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a b^{12} d^{6}}{28 \, b^{14} d^{7}}"," ",0,"1/3*(b^17*c^3*d^4 - a*b^16*c^2*d^5)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^17*c*d^7 - a*b^16*d^8) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*c^2*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^4 - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*c^2*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^4 + 1/28*(28*(b*x^3 + a)^(1/3)*b^14*c^2*d^4 - 7*(b*x^3 + a)^(4/3)*b^13*c*d^5 + 4*(b*x^3 + a)^(7/3)*b^12*d^6 - 7*(b*x^3 + a)^(4/3)*a*b^12*d^6)/(b^14*d^7)","A",0
660,1,276,0,0.246336," ","integrate(x^5*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b^{6} c^{2} d^{2} - a b^{5} c d^{3}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)}} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{3}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{3}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{4} c d^{2} - {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{3} d^{3}}{4 \, b^{4} d^{4}}"," ",0,"-1/3*(b^6*c^2*d^2 - a*b^5*c*d^3)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^6*c*d^4 - a*b^5*d^5) + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*c*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^3 + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*c*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^3 - 1/4*(4*(b*x^3 + a)^(1/3)*b^4*c*d^2 - (b*x^3 + a)^(4/3)*b^3*d^3)/(b^4*d^4)","A",0
661,1,223,0,0.270990," ","integrate(x^2*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b c - a d\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c d - a d^{2}\right)}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{2}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{d} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{2}}"," ",0,"1/3*(b*c - a*d)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c*d - a*d^2) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^2 + (b*x^3 + a)^(1/3)/d - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^2","A",0
662,1,311,0,0.804662," ","integrate((b*x^3+a)^(1/3)/x/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b c - a d\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} - \frac{\sqrt{3} a^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, c} - \frac{a^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, c} + \frac{a^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{3 \, c} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c d} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c d}"," ",0,"-1/3*(b*c - a*d)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^2 - a*c*d) - 1/3*sqrt(3)*a^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/c - 1/6*a^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/c + 1/3*a^(1/3)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/c + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(c*d) + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(c*d)","A",0
663,1,351,0,0.775506," ","integrate((b*x^3+a)^(1/3)/x^4/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b c d - a d^{2}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} - \frac{\sqrt{3} {\left(b c - 3 \, a d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{2}{3}} c^{2}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c^{2}} - \frac{{\left(b c - 3 \, a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{2}{3}} c^{2}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c^{2}} + \frac{{\left(b c - 3 \, a d\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{2}{3}} c^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{3 \, c x^{3}}"," ",0,"1/3*(b*c*d - a*d^2)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^3 - a*c^2*d) - 1/9*sqrt(3)*(b*c - 3*a*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(2/3)*c^2) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/c^2 - 1/18*(b*c - 3*a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(2/3)*c^2) - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/c^2 + 1/9*(b*c - 3*a*d)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(2/3)*c^2) - 1/3*(b*x^3 + a)^(1/3)/(c*x^3)","A",0
664,1,465,0,0.810351," ","integrate((b*x^3+a)^(1/3)/x^7/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b c d^{2} - a d^{3}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{4} - a c^{3} d\right)}} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} d \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c^{3}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} d \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c^{3}} + \frac{\sqrt{3} {\left(a^{\frac{1}{3}} b^{2} c^{2} + 3 \, a^{\frac{4}{3}} b c d - 9 \, a^{\frac{7}{3}} d^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{27 \, a^{2} c^{3}} - \frac{{\left(b^{2} c^{2} + 3 \, a b c d - 9 \, a^{2} d^{2}\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{27 \, a^{\frac{5}{3}} c^{3}} + \frac{{\left(a^{\frac{1}{3}} b^{2} c^{2} + 3 \, a^{\frac{4}{3}} b c d - 9 \, a^{\frac{7}{3}} d^{2}\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{54 \, a^{2} c^{3}} - \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{2} c + 2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a b^{2} c - 6 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a b d + 6 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{2} b d}{18 \, a b^{2} c^{2} x^{6}}"," ",0,"-1/3*(b*c*d^2 - a*d^3)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^4 - a*c^3*d) + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*d*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/c^3 + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*d*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/c^3 + 1/27*sqrt(3)*(a^(1/3)*b^2*c^2 + 3*a^(4/3)*b*c*d - 9*a^(7/3)*d^2)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^2*c^3) - 1/27*(b^2*c^2 + 3*a*b*c*d - 9*a^2*d^2)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(5/3)*c^3) + 1/54*(a^(1/3)*b^2*c^2 + 3*a^(4/3)*b*c*d - 9*a^(7/3)*d^2)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^2*c^3) - 1/18*((b*x^3 + a)^(4/3)*b^2*c + 2*(b*x^3 + a)^(1/3)*a*b^2*c - 6*(b*x^3 + a)^(4/3)*a*b*d + 6*(b*x^3 + a)^(1/3)*a^2*b*d)/(a*b^2*c^2*x^6)","A",0
665,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
677,1,409,0,0.287317," ","integrate(x^11*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b^{37} c^{4} d^{7} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} - a b^{36} c^{3} d^{8} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{37} c d^{11} - a b^{36} d^{12}\right)}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{6}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{3} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{6}} - \frac{220 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{33} c^{3} d^{7} - 88 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{32} c^{2} d^{8} + 55 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} b^{31} c d^{9} - 88 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a b^{31} c d^{9} - 40 \, {\left(b x^{3} + a\right)}^{\frac{11}{3}} b^{30} d^{10} + 110 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} a b^{30} d^{10} - 88 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a^{2} b^{30} d^{10}}{440 \, b^{33} d^{11}}"," ",0,"-1/3*(b^37*c^4*d^7*(-(b*c - a*d)/d)^(1/3) - a*b^36*c^3*d^8*(-(b*c - a*d)/d)^(1/3))*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^37*c*d^11 - a*b^36*d^12) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(2/3)*c^3*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^6 + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^3*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^6 - 1/440*(220*(b*x^3 + a)^(2/3)*b^33*c^3*d^7 - 88*(b*x^3 + a)^(5/3)*b^32*c^2*d^8 + 55*(b*x^3 + a)^(8/3)*b^31*c*d^9 - 88*(b*x^3 + a)^(5/3)*a*b^31*c*d^9 - 40*(b*x^3 + a)^(11/3)*b^30*d^10 + 110*(b*x^3 + a)^(8/3)*a*b^30*d^10 - 88*(b*x^3 + a)^(5/3)*a^2*b^30*d^10)/(b^33*d^11)","A",0
678,1,350,0,0.267269," ","integrate(x^8*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b^{19} c^{3} d^{5} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} - a b^{18} c^{2} d^{6} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{19} c d^{8} - a b^{18} d^{9}\right)}} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{5}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{2} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{5}} + \frac{20 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{16} c^{2} d^{5} - 8 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{15} c d^{6} + 5 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} b^{14} d^{7} - 8 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a b^{14} d^{7}}{40 \, b^{16} d^{8}}"," ",0,"1/3*(b^19*c^3*d^5*(-(b*c - a*d)/d)^(1/3) - a*b^18*c^2*d^6*(-(b*c - a*d)/d)^(1/3))*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^19*c*d^8 - a*b^18*d^9) + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(2/3)*c^2*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^5 - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^2*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^5 + 1/40*(20*(b*x^3 + a)^(2/3)*b^16*c^2*d^5 - 8*(b*x^3 + a)^(5/3)*b^15*c*d^6 + 5*(b*x^3 + a)^(8/3)*b^14*d^7 - 8*(b*x^3 + a)^(5/3)*a*b^14*d^7)/(b^16*d^8)","A",0
679,1,306,0,0.549196," ","integrate(x^5*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b^{7} c^{2} d^{3} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} - a b^{6} c d^{4} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{7} c d^{5} - a b^{6} d^{6}\right)}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{4}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{4}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{5} c d^{3} - 2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{4} d^{4}}{10 \, b^{5} d^{5}}"," ",0,"-1/3*(b^7*c^2*d^3*(-(b*c - a*d)/d)^(1/3) - a*b^6*c*d^4*(-(b*c - a*d)/d)^(1/3))*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^7*c*d^5 - a*b^6*d^6) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(2/3)*c*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^4 + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^4 - 1/10*(5*(b*x^3 + a)^(2/3)*b^5*c*d^3 - 2*(b*x^3 + a)^(5/3)*b^4*d^4)/(b^5*d^5)","B",0
680,1,259,0,0.271447," ","integrate(x^2*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b c d \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} - a d^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c d^{2} - a d^{3}\right)}} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{2 \, d} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{3}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{3}}"," ",0,"1/3*(b*c*d*(-(b*c - a*d)/d)^(1/3) - a*d^2*(-(b*c - a*d)/d)^(1/3))*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c*d^2 - a*d^3) + 1/2*(b*x^3 + a)^(2/3)/d + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^3 - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^3","B",0
681,1,341,0,0.801831," ","integrate((b*x^3+a)^(2/3)/x/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b c \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} - a d \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} + \frac{\sqrt{3} a^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, c} - \frac{a^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, c} + \frac{a^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{3 \, c} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c d^{2}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c d^{2}}"," ",0,"-1/3*(b*c*(-(b*c - a*d)/d)^(1/3) - a*d*(-(b*c - a*d)/d)^(1/3))*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^2 - a*c*d) + 1/3*sqrt(3)*a^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/c - 1/6*a^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/c + 1/3*a^(2/3)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/c - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(c*d^2) + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(c*d^2)","A",0
682,1,400,0,0.806648," ","integrate((b*x^3+a)^(2/3)/x^4/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b c d \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} - a d^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} - \frac{{\left(2 \, b c - 3 \, a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{1}{3}} c^{2}} + \frac{\sqrt{3} {\left(2 \, a^{\frac{2}{3}} b c - 3 \, a^{\frac{5}{3}} d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a c^{2}} + \frac{{\left(2 \, a^{\frac{1}{3}} b c - 3 \, a^{\frac{4}{3}} d\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{2}{3}} c^{2}} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c^{2} d} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c^{2} d} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{3 \, c x^{3}}"," ",0,"1/3*(b*c*d*(-(b*c - a*d)/d)^(1/3) - a*d^2*(-(b*c - a*d)/d)^(1/3))*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^3 - a*c^2*d) - 1/18*(2*b*c - 3*a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(1/3)*c^2) + 1/9*sqrt(3)*(2*a^(2/3)*b*c - 3*a^(5/3)*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a*c^2) + 1/9*(2*a^(1/3)*b*c - 3*a^(4/3)*d)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(2/3)*c^2) + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(c^2*d) - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(c^2*d) - 1/3*(b*x^3 + a)^(2/3)/(c*x^3)","A",0
683,1,493,0,0.781750," ","integrate((b*x^3+a)^(2/3)/x^7/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b c d^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} - a d^{3} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{4} - a c^{3} d\right)}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c^{3}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c^{3}} - \frac{\sqrt{3} {\left(b^{2} c^{2} + 6 \, a b c d - 9 \, a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{27 \, a^{\frac{4}{3}} c^{3}} - \frac{{\left(a^{\frac{1}{3}} b^{2} c^{2} + 6 \, a^{\frac{4}{3}} b c d - 9 \, a^{\frac{7}{3}} d^{2}\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{27 \, a^{\frac{5}{3}} c^{3}} + \frac{{\left(a^{\frac{2}{3}} b^{2} c^{2} + 6 \, a^{\frac{5}{3}} b c d - 9 \, a^{\frac{8}{3}} d^{2}\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{54 \, a^{2} c^{3}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{2} c + {\left(b x^{3} + a\right)}^{\frac{2}{3}} a b^{2} c - 6 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a b d + 6 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{2} b d}{18 \, a b^{2} c^{2} x^{6}}"," ",0,"-1/3*(b*c*d^2*(-(b*c - a*d)/d)^(1/3) - a*d^3*(-(b*c - a*d)/d)^(1/3))*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^4 - a*c^3*d) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/c^3 + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/c^3 - 1/27*sqrt(3)*(b^2*c^2 + 6*a*b*c*d - 9*a^2*d^2)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(4/3)*c^3) - 1/27*(a^(1/3)*b^2*c^2 + 6*a^(4/3)*b*c*d - 9*a^(7/3)*d^2)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(5/3)*c^3) + 1/54*(a^(2/3)*b^2*c^2 + 6*a^(5/3)*b*c*d - 9*a^(8/3)*d^2)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^2*c^3) - 1/18*(2*(b*x^3 + a)^(5/3)*b^2*c + (b*x^3 + a)^(2/3)*a*b^2*c - 6*(b*x^3 + a)^(5/3)*a*b*d + 6*(b*x^3 + a)^(2/3)*a^2*b*d)/(a*b^2*c^2*x^6)","A",0
684,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
696,1,394,0,0.303294," ","integrate(x^8*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b^{24} c^{4} d^{6} - 2 \, a b^{23} c^{3} d^{7} + a^{2} b^{22} c^{2} d^{8}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{23} c d^{10} - a b^{22} d^{11}\right)}} + \frac{\sqrt{3} {\left(b c^{3} - a c^{2} d\right)} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{5}} + \frac{{\left(b c^{3} - a c^{2} d\right)} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{5}} - \frac{140 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{21} c^{3} d^{6} - 35 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{20} c^{2} d^{7} - 140 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a b^{20} c^{2} d^{7} + 20 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b^{19} c d^{8} - 14 \, {\left(b x^{3} + a\right)}^{\frac{10}{3}} b^{18} d^{9} + 20 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} a b^{18} d^{9}}{140 \, b^{20} d^{10}}"," ",0,"-1/3*(b^24*c^4*d^6 - 2*a*b^23*c^3*d^7 + a^2*b^22*c^2*d^8)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^23*c*d^10 - a*b^22*d^11) + 1/3*sqrt(3)*(b*c^3 - a*c^2*d)*(-b*c*d^2 + a*d^3)^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^5 + 1/6*(b*c^3 - a*c^2*d)*(-b*c*d^2 + a*d^3)^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^5 - 1/140*(140*(b*x^3 + a)^(1/3)*b^21*c^3*d^6 - 35*(b*x^3 + a)^(4/3)*b^20*c^2*d^7 - 140*(b*x^3 + a)^(1/3)*a*b^20*c^2*d^7 + 20*(b*x^3 + a)^(7/3)*b^19*c*d^8 - 14*(b*x^3 + a)^(10/3)*b^18*d^9 + 20*(b*x^3 + a)^(7/3)*a*b^18*d^9)/(b^20*d^10)","A",0
697,1,348,0,0.290708," ","integrate(x^5*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b^{10} c^{3} d^{4} - 2 \, a b^{9} c^{2} d^{5} + a^{2} b^{8} c d^{6}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{9} c d^{7} - a b^{8} d^{8}\right)}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c^{2} - a c d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{4}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c^{2} - a c d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{4}} + \frac{28 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{8} c^{2} d^{4} - 7 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{7} c d^{5} - 28 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a b^{7} c d^{5} + 4 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b^{6} d^{6}}{28 \, b^{7} d^{7}}"," ",0,"1/3*(b^10*c^3*d^4 - 2*a*b^9*c^2*d^5 + a^2*b^8*c*d^6)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^9*c*d^7 - a*b^8*d^8) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*(b*c^2 - a*c*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^4 - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*(b*c^2 - a*c*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^4 + 1/28*(28*(b*x^3 + a)^(1/3)*b^8*c^2*d^4 - 7*(b*x^3 + a)^(4/3)*b^7*c*d^5 - 28*(b*x^3 + a)^(1/3)*a*b^7*c*d^5 + 4*(b*x^3 + a)^(7/3)*b^6*d^6)/(b^7*d^7)","B",0
698,1,297,0,0.296780," ","integrate(x^2*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c d^{4} - a d^{5}\right)}} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d^{3}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, d^{3}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b c d^{2} - {\left(b x^{3} + a\right)}^{\frac{4}{3}} d^{3} - 4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a d^{3}}{4 \, d^{4}}"," ",0,"-1/3*(b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c*d^4 - a*d^5) + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/d^3 + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/d^3 - 1/4*(4*(b*x^3 + a)^(1/3)*b*c*d^2 - (b*x^3 + a)^(4/3)*d^3 - 4*(b*x^3 + a)^(1/3)*a*d^3)/d^4","A",0
699,1,357,0,0.840000," ","integrate((b*x^3+a)^(4/3)/x/(d*x^3+c),x, algorithm=""giac"")","-\frac{\sqrt{3} a^{\frac{4}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, c} - \frac{a^{\frac{4}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, c} + \frac{a^{\frac{4}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{3 \, c} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} d - a c d^{2}\right)}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b}{d} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c d^{2}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c d^{2}}"," ",0,"-1/3*sqrt(3)*a^(4/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/c - 1/6*a^(4/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/c + 1/3*a^(4/3)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/c + 1/3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^2*d - a*c*d^2) + (b*x^3 + a)^(1/3)*b/d - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(c*d^2) - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(c*d^2)","A",0
700,1,394,0,0.858537," ","integrate((b*x^3+a)^(4/3)/x^4/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} - \frac{\sqrt{3} {\left(4 \, a^{\frac{1}{3}} b c - 3 \, a^{\frac{4}{3}} d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, c^{2}} - \frac{{\left(4 \, a^{\frac{1}{3}} b c - 3 \, a^{\frac{4}{3}} d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, c^{2}} + \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c^{2} d} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c^{2} d} + \frac{{\left(4 \, a b c - 3 \, a^{2} d\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{2}{3}} c^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} a}{3 \, c x^{3}}"," ",0,"-1/3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^3 - a*c^2*d) - 1/9*sqrt(3)*(4*a^(1/3)*b*c - 3*a^(4/3)*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/c^2 - 1/18*(4*a^(1/3)*b*c - 3*a^(4/3)*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/c^2 + 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(c^2*d) + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(c^2*d) + 1/9*(4*a*b*c - 3*a^2*d)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(2/3)*c^2) - 1/3*(b*x^3 + a)^(1/3)*a/(c*x^3)","A",0
701,1,481,0,0.858844," ","integrate((b*x^3+a)^(4/3)/x^7/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{4} - a c^{3} d\right)}} - \frac{\sqrt{3} {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{3 \, c^{3}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, c^{3}} - \frac{\sqrt{3} {\left(2 \, b^{2} c^{2} - 12 \, a b c d + 9 \, a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{27 \, a^{\frac{2}{3}} c^{3}} - \frac{{\left(2 \, b^{2} c^{2} - 12 \, a b c d + 9 \, a^{2} d^{2}\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{54 \, a^{\frac{2}{3}} c^{3}} + \frac{{\left(2 \, b^{2} c^{2} - 12 \, a b c d + 9 \, a^{2} d^{2}\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{27 \, a^{\frac{2}{3}} c^{3}} - \frac{7 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{2} c - 4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a b^{2} c - 6 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a b d + 6 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{2} b d}{18 \, b^{2} c^{2} x^{6}}"," ",0,"1/3*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^4 - a*c^3*d) - 1/3*sqrt(3)*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/c^3 - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*(b*c - a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/c^3 - 1/27*sqrt(3)*(2*b^2*c^2 - 12*a*b*c*d + 9*a^2*d^2)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(2/3)*c^3) - 1/54*(2*b^2*c^2 - 12*a*b*c*d + 9*a^2*d^2)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(2/3)*c^3) + 1/27*(2*b^2*c^2 - 12*a*b*c*d + 9*a^2*d^2)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(2/3)*c^3) - 1/18*(7*(b*x^3 + a)^(4/3)*b^2*c - 4*(b*x^3 + a)^(1/3)*a*b^2*c - 6*(b*x^3 + a)^(4/3)*a*b*d + 6*(b*x^3 + a)^(1/3)*a^2*b*d)/(b^2*c^2*x^6)","A",0
702,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
714,1,454,0,0.325526," ","integrate(x^14/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b^{48} c^{4} d^{7} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{49} c d^{11} - a b^{48} d^{12}\right)}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{4} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{6} - \sqrt{3} a d^{7}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{4} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{6} - a d^{7}\right)}} - \frac{220 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{43} c^{3} d^{7} - 88 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{42} c^{2} d^{8} + 220 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a b^{42} c^{2} d^{8} + 55 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} b^{41} c d^{9} - 176 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a b^{41} c d^{9} + 220 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{2} b^{41} c d^{9} - 40 \, {\left(b x^{3} + a\right)}^{\frac{11}{3}} b^{40} d^{10} + 165 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} a b^{40} d^{10} - 264 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a^{2} b^{40} d^{10} + 220 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{3} b^{40} d^{10}}{440 \, b^{44} d^{11}}"," ",0,"-1/3*b^48*c^4*d^7*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^49*c*d^11 - a*b^48*d^12) - (-b*c*d^2 + a*d^3)^(2/3)*c^4*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^6 - sqrt(3)*a*d^7) + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^4*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^6 - a*d^7) - 1/440*(220*(b*x^3 + a)^(2/3)*b^43*c^3*d^7 - 88*(b*x^3 + a)^(5/3)*b^42*c^2*d^8 + 220*(b*x^3 + a)^(2/3)*a*b^42*c^2*d^8 + 55*(b*x^3 + a)^(8/3)*b^41*c*d^9 - 176*(b*x^3 + a)^(5/3)*a*b^41*c*d^9 + 220*(b*x^3 + a)^(2/3)*a^2*b^41*c*d^9 - 40*(b*x^3 + a)^(11/3)*b^40*d^10 + 165*(b*x^3 + a)^(8/3)*a*b^40*d^10 - 264*(b*x^3 + a)^(5/3)*a^2*b^40*d^10 + 220*(b*x^3 + a)^(2/3)*a^3*b^40*d^10)/(b^44*d^11)","A",0
715,1,371,0,0.278629," ","integrate(x^11/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{b^{27} c^{3} d^{5} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{28} c d^{8} - a b^{27} d^{9}\right)}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{5} - \sqrt{3} a d^{6}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{3} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{5} - a d^{6}\right)}} + \frac{20 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{23} c^{2} d^{5} - 8 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{22} c d^{6} + 20 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a b^{22} c d^{6} + 5 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} b^{21} d^{7} - 16 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a b^{21} d^{7} + 20 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{2} b^{21} d^{7}}{40 \, b^{24} d^{8}}"," ",0,"1/3*b^27*c^3*d^5*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^28*c*d^8 - a*b^27*d^9) + (-b*c*d^2 + a*d^3)^(2/3)*c^3*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^5 - sqrt(3)*a*d^6) - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^3*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^5 - a*d^6) + 1/40*(20*(b*x^3 + a)^(2/3)*b^23*c^2*d^5 - 8*(b*x^3 + a)^(5/3)*b^22*c*d^6 + 20*(b*x^3 + a)^(2/3)*a*b^22*c*d^6 + 5*(b*x^3 + a)^(8/3)*b^21*d^7 - 16*(b*x^3 + a)^(5/3)*a*b^21*d^7 + 20*(b*x^3 + a)^(2/3)*a^2*b^21*d^7)/(b^24*d^8)","A",0
716,1,313,0,0.260787," ","integrate(x^8/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b^{12} c^{2} d^{3} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{13} c d^{5} - a b^{12} d^{6}\right)}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{4} - \sqrt{3} a d^{5}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{2} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{4} - a d^{5}\right)}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{9} c d^{3} - 2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{8} d^{4} + 5 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a b^{8} d^{4}}{10 \, b^{10} d^{5}}"," ",0,"-1/3*b^12*c^2*d^3*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^13*c*d^5 - a*b^12*d^6) - (-b*c*d^2 + a*d^3)^(2/3)*c^2*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^4 - sqrt(3)*a*d^5) + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^2*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^4 - a*d^5) - 1/10*(5*(b*x^3 + a)^(2/3)*b^9*c*d^3 - 2*(b*x^3 + a)^(5/3)*b^8*d^4 + 5*(b*x^3 + a)^(2/3)*a*b^8*d^4)/(b^10*d^5)","A",0
717,1,257,0,0.279052," ","integrate(x^5/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{\frac{2 \, b c d \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{b c d^{2} - a d^{3}} + \frac{6 \, {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} b c \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{3} - \sqrt{3} a d^{4}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} b c \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{b c d^{3} - a d^{4}} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}}}{d}}{6 \, b}"," ",0,"1/6*(2*b*c*d*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c*d^2 - a*d^3) + 6*(-b*c*d^2 + a*d^3)^(2/3)*b*c*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^3 - sqrt(3)*a*d^4) - (-b*c*d^2 + a*d^3)^(2/3)*b*c*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^3 - a*d^4) + 3*(b*x^3 + a)^(2/3)/d)/b","A",0
718,1,226,0,0.287374," ","integrate(x^2/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{2} - \sqrt{3} a d^{3}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{2} - a d^{3}\right)}} - \frac{\left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c - a d\right)}}"," ",0,"-(-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^2 - sqrt(3)*a*d^3) + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^2 - a*d^3) - 1/3*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c - a*d)","A",0
719,1,326,0,0.744039," ","integrate(1/x/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{d \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c^{2} d - \sqrt{3} a c d^{2}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{2} d - a c d^{2}\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{1}{3}} c} - \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{1}{3}} c} + \frac{\log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{3 \, a^{\frac{1}{3}} c}"," ",0,"1/3*d*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^2 - a*c*d) + (-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c^2*d - sqrt(3)*a*c*d^2) - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c^2*d - a*c*d^2) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(1/3)*c) - 1/6*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(1/3)*c) + 1/3*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(1/3)*c)","A",0
720,1,383,0,0.884990," ","integrate(1/x^4/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{d^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c^{3} - \sqrt{3} a c^{2} d} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{3} - a c^{2} d\right)}} + \frac{{\left(b c + 3 \, a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{4}{3}} c^{2}} - \frac{\sqrt{3} {\left(a^{\frac{2}{3}} b c + 3 \, a^{\frac{5}{3}} d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{2} c^{2}} - \frac{{\left(a^{\frac{1}{3}} b c + 3 \, a^{\frac{4}{3}} d\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{5}{3}} c^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{3 \, a c x^{3}}"," ",0,"-1/3*d^2*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^3 - a*c^2*d) - (-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c^3 - sqrt(3)*a*c^2*d) + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c^3 - a*c^2*d) + 1/18*(b*c + 3*a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(4/3)*c^2) - 1/9*sqrt(3)*(a^(2/3)*b*c + 3*a^(5/3)*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^2*c^2) - 1/9*(a^(1/3)*b*c + 3*a^(4/3)*d)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(5/3)*c^2) - 1/3*(b*x^3 + a)^(2/3)/(a*c*x^3)","A",0
721,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a)^(1/3)/(d*x^3+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
732,1,372,0,0.263316," ","integrate(x^11/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{b^{24} c^{3} d^{4} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{25} c d^{7} - a b^{24} d^{8}\right)}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{4} - \sqrt{3} a d^{5}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{3} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{4} - a d^{5}\right)}} + \frac{28 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{20} c^{2} d^{4} - 7 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{19} c d^{5} + 28 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a b^{19} c d^{5} + 4 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b^{18} d^{6} - 14 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a b^{18} d^{6} + 28 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{2} b^{18} d^{6}}{28 \, b^{21} d^{7}}"," ",0,"1/3*b^24*c^3*d^4*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^25*c*d^7 - a*b^24*d^8) - (-b*c*d^2 + a*d^3)^(1/3)*c^3*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^4 - sqrt(3)*a*d^5) - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*c^3*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^4 - a*d^5) + 1/28*(28*(b*x^3 + a)^(1/3)*b^20*c^2*d^4 - 7*(b*x^3 + a)^(4/3)*b^19*c*d^5 + 28*(b*x^3 + a)^(1/3)*a*b^19*c*d^5 + 4*(b*x^3 + a)^(7/3)*b^18*d^6 - 14*(b*x^3 + a)^(4/3)*a*b^18*d^6 + 28*(b*x^3 + a)^(1/3)*a^2*b^18*d^6)/(b^21*d^7)","A",0
733,1,312,0,0.296764," ","integrate(x^8/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{b^{10} c^{2} d^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{11} c d^{4} - a b^{10} d^{5}\right)}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{3} - \sqrt{3} a d^{4}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} c^{2} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d^{3} - a d^{4}\right)}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{7} c d^{2} - {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{6} d^{3} + 4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a b^{6} d^{3}}{4 \, b^{8} d^{4}}"," ",0,"-1/3*b^10*c^2*d^2*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^11*c*d^4 - a*b^10*d^5) + (-b*c*d^2 + a*d^3)^(1/3)*c^2*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^3 - sqrt(3)*a*d^4) + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*c^2*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^3 - a*d^4) - 1/4*(4*(b*x^3 + a)^(1/3)*b^7*c*d^2 - (b*x^3 + a)^(4/3)*b^6*d^3 + 4*(b*x^3 + a)^(1/3)*a*b^6*d^3)/(b^8*d^4)","A",0
734,1,253,0,0.232450," ","integrate(x^5/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} b c \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d^{2} - \sqrt{3} a d^{3}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} b c \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{b c d^{2} - a d^{3}} - \frac{2 \, b c \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{b c d - a d^{2}} - \frac{6 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{d}}{6 \, b}"," ",0,"-1/6*(6*(-b*c*d^2 + a*d^3)^(1/3)*b*c*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d^2 - sqrt(3)*a*d^3) + (-b*c*d^2 + a*d^3)^(1/3)*b*c*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d^2 - a*d^3) - 2*b*c*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c*d - a*d^2) - 6*(b*x^3 + a)^(1/3)/d)/b","A",0
735,1,221,0,0.288220," ","integrate(x^2/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c d - \sqrt{3} a d^{2}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c d - a d^{2}\right)}} - \frac{\left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c - a d\right)}}"," ",0,"(-b*c*d^2 + a*d^3)^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c*d - sqrt(3)*a*d^2) + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c*d - a*d^2) - 1/3*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c - a*d)","A",0
736,1,321,0,0.756155," ","integrate(1/x/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{d \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{2} - a c d\right)}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c^{2} - \sqrt{3} a c d} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{2} - a c d\right)}} - \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{2}{3}} c} - \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{2}{3}} c} + \frac{\log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{3 \, a^{\frac{2}{3}} c}"," ",0,"1/3*d*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^2 - a*c*d) - (-b*c*d^2 + a*d^3)^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c^2 - sqrt(3)*a*c*d) - 1/6*(-b*c*d^2 + a*d^3)^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c^2 - a*c*d) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(2/3)*c) - 1/6*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(2/3)*c) + 1/3*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(2/3)*c)","A",0
737,1,377,0,0.758161," ","integrate(1/x^4/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{d^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b c^{3} - a c^{2} d\right)}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} d \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b c^{3} - \sqrt{3} a c^{2} d} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{1}{3}} d \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b c^{3} - a c^{2} d\right)}} + \frac{\sqrt{3} {\left(2 \, b c + 3 \, a d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{5}{3}} c^{2}} + \frac{{\left(2 \, b c + 3 \, a d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{5}{3}} c^{2}} - \frac{{\left(2 \, b c + 3 \, a d\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{5}{3}} c^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{3 \, a c x^{3}}"," ",0,"-1/3*d^2*(-(b*c - a*d)/d)^(1/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b*c^3 - a*c^2*d) + (-b*c*d^2 + a*d^3)^(1/3)*d*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b*c^3 - sqrt(3)*a*c^2*d) + 1/6*(-b*c*d^2 + a*d^3)^(1/3)*d*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b*c^3 - a*c^2*d) + 1/9*sqrt(3)*(2*b*c + 3*a*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(5/3)*c^2) + 1/18*(2*b*c + 3*a*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(5/3)*c^2) - 1/9*(2*b*c + 3*a*d)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(5/3)*c^2) - 1/3*(b*x^3 + a)^(1/3)/(a*c*x^3)","A",0
738,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a)^(2/3)/(d*x^3+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
747,1,431,0,0.256950," ","integrate(x^14/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{4} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c^{2} d^{5} - 2 \, \sqrt{3} a b c d^{6} + \sqrt{3} a^{2} d^{7}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{4} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c^{2} d^{5} - 2 \, a b c d^{6} + a^{2} d^{7}\right)}} + \frac{c^{4} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{2} c^{2} d^{3} - 2 \, a b c d^{4} + a^{2} d^{5}\right)}} - \frac{a^{4}}{{\left(b^{5} c - a b^{4} d\right)} {\left(b x^{3} + a\right)}^{\frac{1}{3}}} + \frac{20 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{30} c^{2} d^{5} - 8 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{29} c d^{6} + 40 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a b^{29} c d^{6} + 5 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} b^{28} d^{7} - 24 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a b^{28} d^{7} + 60 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{2} b^{28} d^{7}}{40 \, b^{32} d^{8}}"," ",0,"(-b*c*d^2 + a*d^3)^(2/3)*c^4*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b^2*c^2*d^5 - 2*sqrt(3)*a*b*c*d^6 + sqrt(3)*a^2*d^7) - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^4*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b^2*c^2*d^5 - 2*a*b*c*d^6 + a^2*d^7) + 1/3*c^4*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^2*c^2*d^3 - 2*a*b*c*d^4 + a^2*d^5) - a^4/((b^5*c - a*b^4*d)*(b*x^3 + a)^(1/3)) + 1/40*(20*(b*x^3 + a)^(2/3)*b^30*c^2*d^5 - 8*(b*x^3 + a)^(5/3)*b^29*c*d^6 + 40*(b*x^3 + a)^(2/3)*a*b^29*c*d^6 + 5*(b*x^3 + a)^(8/3)*b^28*d^7 - 24*(b*x^3 + a)^(5/3)*a*b^28*d^7 + 60*(b*x^3 + a)^(2/3)*a^2*b^28*d^7)/(b^32*d^8)","A",0
748,1,372,0,0.258979," ","integrate(x^11/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c^{2} d^{4} - 2 \, \sqrt{3} a b c d^{5} + \sqrt{3} a^{2} d^{6}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{3} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c^{2} d^{4} - 2 \, a b c d^{5} + a^{2} d^{6}\right)}} - \frac{c^{3} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)}} + \frac{a^{3}}{{\left(b^{4} c - a b^{3} d\right)} {\left(b x^{3} + a\right)}^{\frac{1}{3}}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{13} c d^{3} - 2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{12} d^{4} + 10 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a b^{12} d^{4}}{10 \, b^{15} d^{5}}"," ",0,"-(-b*c*d^2 + a*d^3)^(2/3)*c^3*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b^2*c^2*d^4 - 2*sqrt(3)*a*b*c*d^5 + sqrt(3)*a^2*d^6) + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^3*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b^2*c^2*d^4 - 2*a*b*c*d^5 + a^2*d^6) - 1/3*c^3*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4) + a^3/((b^4*c - a*b^3*d)*(b*x^3 + a)^(1/3)) - 1/10*(5*(b*x^3 + a)^(2/3)*b^13*c*d^3 - 2*(b*x^3 + a)^(5/3)*b^12*d^4 + 10*(b*x^3 + a)^(2/3)*a*b^12*d^4)/(b^15*d^5)","A",0
749,1,325,0,0.248450," ","integrate(x^8/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c^{2} d^{3} - 2 \, \sqrt{3} a b c d^{4} + \sqrt{3} a^{2} d^{5}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} c^{2} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c^{2} d^{3} - 2 \, a b c d^{4} + a^{2} d^{5}\right)}} + \frac{c^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)}} - \frac{a^{2}}{{\left(b^{3} c - a b^{2} d\right)} {\left(b x^{3} + a\right)}^{\frac{1}{3}}} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{2 \, b^{2} d}"," ",0,"(-b*c*d^2 + a*d^3)^(2/3)*c^2*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b^2*c^2*d^3 - 2*sqrt(3)*a*b*c*d^4 + sqrt(3)*a^2*d^5) - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*c^2*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b^2*c^2*d^3 - 2*a*b*c*d^4 + a^2*d^5) + 1/3*c^2*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3) - a^2/((b^3*c - a*b^2*d)*(b*x^3 + a)^(1/3)) + 1/2*(b*x^3 + a)^(2/3)/(b^2*d)","A",0
750,1,301,0,0.254220," ","integrate(x^5/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} b c \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c^{2} d^{2} - 2 \, \sqrt{3} a b c d^{3} + \sqrt{3} a^{2} d^{4}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} b c \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}} + \frac{2 \, b c \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{6 \, a}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(b c - a d\right)}}}{6 \, b}"," ",0,"-1/6*(6*(-b*c*d^2 + a*d^3)^(2/3)*b*c*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b^2*c^2*d^2 - 2*sqrt(3)*a*b*c*d^3 + sqrt(3)*a^2*d^4) - (-b*c*d^2 + a*d^3)^(2/3)*b*c*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4) + 2*b*c*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - 6*a/((b*x^3 + a)^(1/3)*(b*c - a*d)))/b","B",0
751,1,285,0,0.256487," ","integrate(x^2/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{d \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c^{2} d - 2 \, \sqrt{3} a b c d^{2} + \sqrt{3} a^{2} d^{3}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)}} - \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(b c - a d\right)}}"," ",0,"1/3*d*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + (-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b^2*c^2*d - 2*sqrt(3)*a*b*c*d^2 + sqrt(3)*a^2*d^3) - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3) - 1/((b*x^3 + a)^(1/3)*(b*c - a*d))","B",0
752,1,389,0,0.792550," ","integrate(1/x/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","-\frac{d^{2} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2}\right)}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c^{3} - 2 \, \sqrt{3} a b c^{2} d + \sqrt{3} a^{2} c d^{2}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2}\right)}} + \frac{b}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(a b c - a^{2} d\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{4}{3}} c} - \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{4}{3}} c} + \frac{\log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{3 \, a^{\frac{4}{3}} c}"," ",0,"-1/3*d^2*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2) - (-b*c*d^2 + a*d^3)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b^2*c^3 - 2*sqrt(3)*a*b*c^2*d + sqrt(3)*a^2*c*d^2) + 1/6*(-b*c*d^2 + a*d^3)^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2) + b/((b*x^3 + a)^(1/3)*(a*b*c - a^2*d)) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(4/3)*c) - 1/6*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^(4/3)*c) + 1/3*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(4/3)*c)","A",0
753,1,486,0,0.788366," ","integrate(1/x^4/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","\frac{d^{3} \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} \right|}\right)}{3 \, {\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}\right)}} + \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} d \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c^{4} - 2 \, \sqrt{3} a b c^{3} d + \sqrt{3} a^{2} c^{2} d^{2}} - \frac{{\left(-b c d^{2} + a d^{3}\right)}^{\frac{2}{3}} d \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(-\frac{b c - a d}{d}\right)^{\frac{1}{3}} + \left(-\frac{b c - a d}{d}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}\right)}} - \frac{4 \, {\left(b x^{3} + a\right)} b^{2} c - 3 \, a b^{2} c - {\left(b x^{3} + a\right)} a b d}{3 \, {\left(a^{2} b c^{2} - a^{3} c d\right)} {\left({\left(b x^{3} + a\right)}^{\frac{4}{3}} - {\left(b x^{3} + a\right)}^{\frac{1}{3}} a\right)}} - \frac{\sqrt{3} {\left(4 \, b c + 3 \, a d\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{7}{3}} c^{2}} - \frac{{\left(4 \, a^{\frac{1}{3}} b c + 3 \, a^{\frac{4}{3}} d\right)} \log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{8}{3}} c^{2}} + \frac{{\left(4 \, a^{\frac{2}{3}} b c + 3 \, a^{\frac{5}{3}} d\right)} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{3} c^{2}}"," ",0,"1/3*d^3*(-(b*c - a*d)/d)^(2/3)*log(abs((b*x^3 + a)^(1/3) - (-(b*c - a*d)/d)^(1/3)))/(b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2) + (-b*c*d^2 + a*d^3)^(2/3)*d*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (-(b*c - a*d)/d)^(1/3))/(-(b*c - a*d)/d)^(1/3))/(sqrt(3)*b^2*c^4 - 2*sqrt(3)*a*b*c^3*d + sqrt(3)*a^2*c^2*d^2) - 1/6*(-b*c*d^2 + a*d^3)^(2/3)*d*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(-(b*c - a*d)/d)^(1/3) + (-(b*c - a*d)/d)^(2/3))/(b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2) - 1/3*(4*(b*x^3 + a)*b^2*c - 3*a*b^2*c - (b*x^3 + a)*a*b*d)/((a^2*b*c^2 - a^3*c*d)*((b*x^3 + a)^(4/3) - (b*x^3 + a)^(1/3)*a)) - 1/9*sqrt(3)*(4*b*c + 3*a*d)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/(a^(7/3)*c^2) - 1/9*(4*a^(1/3)*b*c + 3*a^(4/3)*d)*log(abs((b*x^3 + a)^(1/3) - a^(1/3)))/(a^(8/3)*c^2) + 1/18*(4*a^(2/3)*b*c + 3*a^(5/3)*d)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/(a^3*c^2)","A",0
754,0,0,0,0.000000," ","integrate(x^9/(b*x^3+a)^(4/3)/(d*x^3+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
767,1,88,0,0.173906," ","integrate(x^15/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\frac{a^{3} \log\left({\left| b x^{4} + a \right|}\right)}{4 \, {\left(b^{4} c - a b^{3} d\right)}} + \frac{c^{3} \log\left({\left| d x^{4} + c \right|}\right)}{4 \, {\left(b c d^{3} - a d^{4}\right)}} + \frac{b d x^{8} - 2 \, b c x^{4} - 2 \, a d x^{4}}{8 \, b^{2} d^{2}}"," ",0,"-1/4*a^3*log(abs(b*x^4 + a))/(b^4*c - a*b^3*d) + 1/4*c^3*log(abs(d*x^4 + c))/(b*c*d^3 - a*d^4) + 1/8*(b*d*x^8 - 2*b*c*x^4 - 2*a*d*x^4)/(b^2*d^2)","A",0
768,1,70,0,0.201994," ","integrate(x^11/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\frac{x^{4}}{4 \, b d} + \frac{a^{2} \log\left({\left| b x^{4} + a \right|}\right)}{4 \, {\left(b^{3} c - a b^{2} d\right)}} - \frac{c^{2} \log\left({\left| d x^{4} + c \right|}\right)}{4 \, {\left(b c d^{2} - a d^{3}\right)}}"," ",0,"1/4*x^4/(b*d) + 1/4*a^2*log(abs(b*x^4 + a))/(b^3*c - a*b^2*d) - 1/4*c^2*log(abs(d*x^4 + c))/(b*c*d^2 - a*d^3)","A",0
769,1,51,0,0.187818," ","integrate(x^7/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\frac{a \log\left({\left| b x^{4} + a \right|}\right)}{4 \, {\left(b^{2} c - a b d\right)}} + \frac{c \log\left({\left| d x^{4} + c \right|}\right)}{4 \, {\left(b c d - a d^{2}\right)}}"," ",0,"-1/4*a*log(abs(b*x^4 + a))/(b^2*c - a*b*d) + 1/4*c*log(abs(d*x^4 + c))/(b*c*d - a*d^2)","A",0
770,1,51,0,0.337214," ","integrate(x^3/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\frac{b \log\left({\left| b x^{4} + a \right|}\right)}{4 \, {\left(b^{2} c - a b d\right)}} - \frac{d \log\left({\left| d x^{4} + c \right|}\right)}{4 \, {\left(b c d - a d^{2}\right)}}"," ",0,"1/4*b*log(abs(b*x^4 + a))/(b^2*c - a*b*d) - 1/4*d*log(abs(d*x^4 + c))/(b*c*d - a*d^2)","A",0
771,1,73,0,0.180817," ","integrate(1/x/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x^{4} + a \right|}\right)}{4 \, {\left(a b^{2} c - a^{2} b d\right)}} + \frac{d^{2} \log\left({\left| d x^{4} + c \right|}\right)}{4 \, {\left(b c^{2} d - a c d^{2}\right)}} + \frac{\log\left(x^{4}\right)}{4 \, a c}"," ",0,"-1/4*b^2*log(abs(b*x^4 + a))/(a*b^2*c - a^2*b*d) + 1/4*d^2*log(abs(d*x^4 + c))/(b*c^2*d - a*c*d^2) + 1/4*log(x^4)/(a*c)","A",0
772,1,112,0,0.187520," ","integrate(1/x^5/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| b x^{4} + a \right|}\right)}{4 \, {\left(a^{2} b^{2} c - a^{3} b d\right)}} - \frac{d^{3} \log\left({\left| d x^{4} + c \right|}\right)}{4 \, {\left(b c^{3} d - a c^{2} d^{2}\right)}} - \frac{{\left(b c + a d\right)} \log\left(x^{4}\right)}{4 \, a^{2} c^{2}} + \frac{b c x^{4} + a d x^{4} - a c}{4 \, a^{2} c^{2} x^{4}}"," ",0,"1/4*b^3*log(abs(b*x^4 + a))/(a^2*b^2*c - a^3*b*d) - 1/4*d^3*log(abs(d*x^4 + c))/(b*c^3*d - a*c^2*d^2) - 1/4*(b*c + a*d)*log(x^4)/(a^2*c^2) + 1/4*(b*c*x^4 + a*d*x^4 - a*c)/(a^2*c^2*x^4)","A",0
773,1,112,0,0.189752," ","integrate(x^13/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\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^{2} d^{2} x^{6} - 3 \, b^{2} c d x^{2} - 3 \, a b d^{2} x^{2}}{6 \, b^{3} d^{3}}"," ",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^2*d^2*x^6 - 3*b^2*c*d*x^2 - 3*a*b*d^2*x^2)/(b^3*d^3)","A",0
774,1,80,0,0.175205," ","integrate(x^9/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\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
775,1,59,0,0.174834," ","integrate(x^5/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\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
776,1,59,0,0.180142," ","integrate(x/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\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
777,1,80,0,0.206713," ","integrate(1/x^3/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\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
778,1,103,0,0.184108," ","integrate(1/x^7/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\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 \, b c x^{4} + 3 \, a d 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*x^4 + 3*a*d*x^4 - a*c)/(a^2*c^2*x^6)","A",0
779,1,469,0,0.222754," ","integrate(x^8/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\frac{\left(a b^{3}\right)^{\frac{1}{4}} a \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b^{3} c - \sqrt{2} a b^{2} d\right)}} + \frac{\left(a b^{3}\right)^{\frac{1}{4}} a \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b^{3} c - \sqrt{2} a b^{2} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} c \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c d^{2} - \sqrt{2} a d^{3}\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} c \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c d^{2} - \sqrt{2} a d^{3}\right)}} + \frac{\left(a b^{3}\right)^{\frac{1}{4}} a \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} b^{3} c - \sqrt{2} a b^{2} d\right)}} - \frac{\left(a b^{3}\right)^{\frac{1}{4}} a \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} b^{3} c - \sqrt{2} a b^{2} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} c \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c d^{2} - \sqrt{2} a d^{3}\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} c \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c d^{2} - \sqrt{2} a d^{3}\right)}} + \frac{x}{b d}"," ",0,"1/2*(a*b^3)^(1/4)*a*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*b^3*c - sqrt(2)*a*b^2*d) + 1/2*(a*b^3)^(1/4)*a*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*b^3*c - sqrt(2)*a*b^2*d) - 1/2*(c*d^3)^(1/4)*c*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c*d^2 - sqrt(2)*a*d^3) - 1/2*(c*d^3)^(1/4)*c*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c*d^2 - sqrt(2)*a*d^3) + 1/4*(a*b^3)^(1/4)*a*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*b^3*c - sqrt(2)*a*b^2*d) - 1/4*(a*b^3)^(1/4)*a*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*b^3*c - sqrt(2)*a*b^2*d) - 1/4*(c*d^3)^(1/4)*c*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c*d^2 - sqrt(2)*a*d^3) + 1/4*(c*d^3)^(1/4)*c*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c*d^2 - sqrt(2)*a*d^3) + x/(b*d)","A",0
780,1,453,0,0.242219," ","integrate(x^6/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b^{4} c - \sqrt{2} a b^{3} d\right)}} - \frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b^{4} c - \sqrt{2} a b^{3} d\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c d^{3} - \sqrt{2} a d^{4}\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c d^{3} - \sqrt{2} a d^{4}\right)}} + \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} b^{4} c - \sqrt{2} a b^{3} d\right)}} - \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} b^{4} c - \sqrt{2} a b^{3} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c d^{3} - \sqrt{2} a d^{4}\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c d^{3} - \sqrt{2} a d^{4}\right)}}"," ",0,"-1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*b^4*c - sqrt(2)*a*b^3*d) - 1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*b^4*c - sqrt(2)*a*b^3*d) + 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c*d^3 - sqrt(2)*a*d^4) + 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c*d^3 - sqrt(2)*a*d^4) + 1/4*(a*b^3)^(3/4)*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*b^4*c - sqrt(2)*a*b^3*d) - 1/4*(a*b^3)^(3/4)*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*b^4*c - sqrt(2)*a*b^3*d) - 1/4*(c*d^3)^(3/4)*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c*d^3 - sqrt(2)*a*d^4) + 1/4*(c*d^3)^(3/4)*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c*d^3 - sqrt(2)*a*d^4)","A",0
781,1,437,0,0.235535," ","integrate(x^4/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\frac{\left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b^{2} c - \sqrt{2} a b d\right)}} - \frac{\left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b^{2} c - \sqrt{2} a b d\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c d - \sqrt{2} a d^{2}\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c d - \sqrt{2} a d^{2}\right)}} - \frac{\left(a b^{3}\right)^{\frac{1}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} b^{2} c - \sqrt{2} a b d\right)}} + \frac{\left(a b^{3}\right)^{\frac{1}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} b^{2} c - \sqrt{2} a b d\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c d - \sqrt{2} a d^{2}\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c d - \sqrt{2} a d^{2}\right)}}"," ",0,"-1/2*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*b^2*c - sqrt(2)*a*b*d) - 1/2*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*b^2*c - sqrt(2)*a*b*d) + 1/2*(c*d^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c*d - sqrt(2)*a*d^2) + 1/2*(c*d^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c*d - sqrt(2)*a*d^2) - 1/4*(a*b^3)^(1/4)*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*b^2*c - sqrt(2)*a*b*d) + 1/4*(a*b^3)^(1/4)*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*b^2*c - sqrt(2)*a*b*d) + 1/4*(c*d^3)^(1/4)*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c*d - sqrt(2)*a*d^2) - 1/4*(c*d^3)^(1/4)*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c*d - sqrt(2)*a*d^2)","A",0
782,1,477,0,0.227503," ","integrate(x^2/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a b^{3} c - \sqrt{2} a^{2} b^{2} d\right)}} + \frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a b^{3} c - \sqrt{2} a^{2} b^{2} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{2} d^{2} - \sqrt{2} a c d^{3}\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{2} d^{2} - \sqrt{2} a c d^{3}\right)}} - \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a b^{3} c - \sqrt{2} a^{2} b^{2} d\right)}} + \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a b^{3} c - \sqrt{2} a^{2} b^{2} d\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{2} d^{2} - \sqrt{2} a c d^{3}\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{2} d^{2} - \sqrt{2} a c d^{3}\right)}}"," ",0,"1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a*b^3*c - sqrt(2)*a^2*b^2*d) + 1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a*b^3*c - sqrt(2)*a^2*b^2*d) - 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^2*d^2 - sqrt(2)*a*c*d^3) - 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^2*d^2 - sqrt(2)*a*c*d^3) - 1/4*(a*b^3)^(3/4)*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a*b^3*c - sqrt(2)*a^2*b^2*d) + 1/4*(a*b^3)^(3/4)*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a*b^3*c - sqrt(2)*a^2*b^2*d) + 1/4*(c*d^3)^(3/4)*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^2*d^2 - sqrt(2)*a*c*d^3) - 1/4*(c*d^3)^(3/4)*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^2*d^2 - sqrt(2)*a*c*d^3)","A",0
783,1,437,0,0.215455," ","integrate(1/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\frac{\left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a b c - \sqrt{2} a^{2} d\right)}} + \frac{\left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a b c - \sqrt{2} a^{2} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{2} - \sqrt{2} a c d\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{2} - \sqrt{2} a c d\right)}} + \frac{\left(a b^{3}\right)^{\frac{1}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a b c - \sqrt{2} a^{2} d\right)}} - \frac{\left(a b^{3}\right)^{\frac{1}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a b c - \sqrt{2} a^{2} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{2} - \sqrt{2} a c d\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{2} - \sqrt{2} a c d\right)}}"," ",0,"1/2*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a*b*c - sqrt(2)*a^2*d) + 1/2*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a*b*c - sqrt(2)*a^2*d) - 1/2*(c*d^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^2 - sqrt(2)*a*c*d) - 1/2*(c*d^3)^(1/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^2 - sqrt(2)*a*c*d) + 1/4*(a*b^3)^(1/4)*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a*b*c - sqrt(2)*a^2*d) - 1/4*(a*b^3)^(1/4)*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a*b*c - sqrt(2)*a^2*d) - 1/4*(c*d^3)^(1/4)*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^2 - sqrt(2)*a*c*d) + 1/4*(c*d^3)^(1/4)*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^2 - sqrt(2)*a*c*d)","A",0
784,1,488,0,0.207394," ","integrate(1/x^2/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{2} b^{2} c - \sqrt{2} a^{3} b d\right)}} - \frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{2} b^{2} c - \sqrt{2} a^{3} b d\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{3} d - \sqrt{2} a c^{2} d^{2}\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{3} d - \sqrt{2} a c^{2} d^{2}\right)}} + \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a^{2} b^{2} c - \sqrt{2} a^{3} b d\right)}} - \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a^{2} b^{2} c - \sqrt{2} a^{3} b d\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{3} d - \sqrt{2} a c^{2} d^{2}\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{3} d - \sqrt{2} a c^{2} d^{2}\right)}} - \frac{1}{a c x}"," ",0,"-1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a^2*b^2*c - sqrt(2)*a^3*b*d) - 1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a^2*b^2*c - sqrt(2)*a^3*b*d) + 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^3*d - sqrt(2)*a*c^2*d^2) + 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^3*d - sqrt(2)*a*c^2*d^2) + 1/4*(a*b^3)^(3/4)*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a^2*b^2*c - sqrt(2)*a^3*b*d) - 1/4*(a*b^3)^(3/4)*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a^2*b^2*c - sqrt(2)*a^3*b*d) - 1/4*(c*d^3)^(3/4)*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^3*d - sqrt(2)*a*c^2*d^2) + 1/4*(c*d^3)^(3/4)*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^3*d - sqrt(2)*a*c^2*d^2) - 1/(a*c*x)","A",0
785,1,472,0,0.193674," ","integrate(1/x^4/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","-\frac{\left(a b^{3}\right)^{\frac{1}{4}} b \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{2} b c - \sqrt{2} a^{3} d\right)}} - \frac{\left(a b^{3}\right)^{\frac{1}{4}} b \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{2} b c - \sqrt{2} a^{3} d\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} d \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{3} - \sqrt{2} a c^{2} d\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} d \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{3} - \sqrt{2} a c^{2} d\right)}} - \frac{\left(a b^{3}\right)^{\frac{1}{4}} b \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a^{2} b c - \sqrt{2} a^{3} d\right)}} + \frac{\left(a b^{3}\right)^{\frac{1}{4}} b \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a^{2} b c - \sqrt{2} a^{3} d\right)}} + \frac{\left(c d^{3}\right)^{\frac{1}{4}} d \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{3} - \sqrt{2} a c^{2} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{1}{4}} d \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{3} - \sqrt{2} a c^{2} d\right)}} - \frac{1}{3 \, a c x^{3}}"," ",0,"-1/2*(a*b^3)^(1/4)*b*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a^2*b*c - sqrt(2)*a^3*d) - 1/2*(a*b^3)^(1/4)*b*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a^2*b*c - sqrt(2)*a^3*d) + 1/2*(c*d^3)^(1/4)*d*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^3 - sqrt(2)*a*c^2*d) + 1/2*(c*d^3)^(1/4)*d*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^3 - sqrt(2)*a*c^2*d) - 1/4*(a*b^3)^(1/4)*b*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a^2*b*c - sqrt(2)*a^3*d) + 1/4*(a*b^3)^(1/4)*b*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a^2*b*c - sqrt(2)*a^3*d) + 1/4*(c*d^3)^(1/4)*d*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^3 - sqrt(2)*a*c^2*d) - 1/4*(c*d^3)^(1/4)*d*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^3 - sqrt(2)*a*c^2*d) - 1/3/(a*c*x^3)","A",0
786,1,483,0,0.235104," ","integrate(1/x^6/(b*x^4+a)/(d*x^4+c),x, algorithm=""giac"")","\frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{3} b c - \sqrt{2} a^{4} d\right)}} + \frac{\left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{3} b c - \sqrt{2} a^{4} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{4} - \sqrt{2} a c^{3} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} \left(\frac{c}{d}\right)^{\frac{1}{4}}\right)}}{2 \, \left(\frac{c}{d}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} b c^{4} - \sqrt{2} a c^{3} d\right)}} - \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a^{3} b c - \sqrt{2} a^{4} d\right)}} + \frac{\left(a b^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{a}{b}\right)^{\frac{1}{4}} + \sqrt{\frac{a}{b}}\right)}{4 \, {\left(\sqrt{2} a^{3} b c - \sqrt{2} a^{4} d\right)}} + \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} + \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{4} - \sqrt{2} a c^{3} d\right)}} - \frac{\left(c d^{3}\right)^{\frac{3}{4}} \log\left(x^{2} - \sqrt{2} x \left(\frac{c}{d}\right)^{\frac{1}{4}} + \sqrt{\frac{c}{d}}\right)}{4 \, {\left(\sqrt{2} b c^{4} - \sqrt{2} a c^{3} d\right)}} + \frac{5 \, b c x^{4} + 5 \, a d x^{4} - a c}{5 \, a^{2} c^{2} x^{5}}"," ",0,"1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a^3*b*c - sqrt(2)*a^4*d) + 1/2*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(a/b)^(1/4))/(a/b)^(1/4))/(sqrt(2)*a^3*b*c - sqrt(2)*a^4*d) - 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^4 - sqrt(2)*a*c^3*d) - 1/2*(c*d^3)^(3/4)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(c/d)^(1/4))/(c/d)^(1/4))/(sqrt(2)*b*c^4 - sqrt(2)*a*c^3*d) - 1/4*(a*b^3)^(3/4)*log(x^2 + sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a^3*b*c - sqrt(2)*a^4*d) + 1/4*(a*b^3)^(3/4)*log(x^2 - sqrt(2)*x*(a/b)^(1/4) + sqrt(a/b))/(sqrt(2)*a^3*b*c - sqrt(2)*a^4*d) + 1/4*(c*d^3)^(3/4)*log(x^2 + sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^4 - sqrt(2)*a*c^3*d) - 1/4*(c*d^3)^(3/4)*log(x^2 - sqrt(2)*x*(c/d)^(1/4) + sqrt(c/d))/(sqrt(2)*b*c^4 - sqrt(2)*a*c^3*d) + 1/5*(5*b*c*x^4 + 5*a*d*x^4 - a*c)/(a^2*c^2*x^5)","A",0
787,1,96,0,0.164951," ","integrate(x^7*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""giac"")","-\frac{{\left(a b c - a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{{\left(d x^{4} + c\right)}^{\frac{3}{2}} b^{2} d^{2} - 3 \, \sqrt{d x^{4} + c} a b d^{3}}{6 \, b^{3} d^{3}}"," ",0,"-1/2*(a*b*c - a^2*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 1/6*((d*x^4 + c)^(3/2)*b^2*d^2 - 3*sqrt(d*x^4 + c)*a*b*d^3)/(b^3*d^3)","A",0
788,-2,0,0,0.000000," ","integrate(x^5*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
789,1,66,0,0.182536," ","integrate(x^3*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""giac"")","\frac{{\left(b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d} b} + \frac{\sqrt{d x^{4} + c}}{2 \, b}"," ",0,"1/2*(b*c - a*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) + 1/2*sqrt(d*x^4 + c)/b","A",0
790,-2,0,0,0.000000," ","integrate(x*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
791,1,79,0,0.179263," ","integrate((d*x^4+c)^(1/2)/x/(b*x^4+a),x, algorithm=""giac"")","-\frac{{\left(b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d} a} + \frac{c \arctan\left(\frac{\sqrt{d x^{4} + c}}{\sqrt{-c}}\right)}{2 \, a \sqrt{-c}}"," ",0,"-1/2*(b*c - a*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a) + 1/2*c*arctan(sqrt(d*x^4 + c)/sqrt(-c))/(a*sqrt(-c))","A",0
792,1,121,0,1.285263," ","integrate((d*x^4+c)^(1/2)/x^3/(b*x^4+a),x, algorithm=""giac"")","\frac{{\left(b c \sqrt{d} - a d^{\frac{3}{2}}\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{2 \, \sqrt{a b c d - a^{2} d^{2}} a} + \frac{c \sqrt{d}}{{\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} - c\right)} a}"," ",0,"1/2*(b*c*sqrt(d) - a*d^(3/2))*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*a) + c*sqrt(d)/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2 - c)*a)","B",0
793,1,107,0,0.168965," ","integrate((d*x^4+c)^(1/2)/x^5/(b*x^4+a),x, algorithm=""giac"")","\frac{{\left(b^{2} c - a b d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d} a^{2}} - \frac{{\left(2 \, b c - a d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c}}{\sqrt{-c}}\right)}{4 \, a^{2} \sqrt{-c}} - \frac{\sqrt{d x^{4} + c}}{4 \, a x^{4}}"," ",0,"1/2*(b^2*c - a*b*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) - 1/4*(2*b*c - a*d)*arctan(sqrt(d*x^4 + c)/sqrt(-c))/(a^2*sqrt(-c)) - 1/4*sqrt(d*x^4 + c)/(a*x^4)","A",0
794,1,225,0,1.748913," ","integrate((d*x^4+c)^(1/2)/x^7/(b*x^4+a),x, algorithm=""giac"")","-\frac{{\left(b^{2} c \sqrt{d} - a b d^{\frac{3}{2}}\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{2 \, \sqrt{a b c d - a^{2} d^{2}} a^{2}} - \frac{3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b c \sqrt{d} - 3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} a d^{\frac{3}{2}} - 6 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c^{2} \sqrt{d} + 3 \, b c^{3} \sqrt{d} - a c^{2} d^{\frac{3}{2}}}{3 \, {\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} - c\right)}^{3} a^{2}}"," ",0,"-1/2*(b^2*c*sqrt(d) - a*b*d^(3/2))*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*a^2) - 1/3*(3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b*c*sqrt(d) - 3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*a*d^(3/2) - 6*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c^2*sqrt(d) + 3*b*c^3*sqrt(d) - a*c^2*d^(3/2))/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2 - c)^3*a^2)","B",0
795,0,0,0,0.000000," ","integrate(x^6*(d*x^4+c)^(1/2)/(b*x^4+a),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
805,1,106,0,0.162262," ","integrate(x^11/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{a^{2} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{{\left(d x^{4} + c\right)}^{\frac{3}{2}} b^{2} d^{4} - 3 \, \sqrt{d x^{4} + c} b^{2} c d^{4} - 3 \, \sqrt{d x^{4} + c} a b d^{5}}{6 \, b^{3} d^{6}}"," ",0,"1/2*a^2*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 1/6*((d*x^4 + c)^(3/2)*b^2*d^4 - 3*sqrt(d*x^4 + c)*b^2*c*d^4 - 3*sqrt(d*x^4 + c)*a*b*d^5)/(b^3*d^6)","A",0
806,1,64,0,0.194240," ","integrate(x^7/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{a d \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b} - \frac{\sqrt{d x^{4} + c}}{b}}{2 \, d}"," ",0,"-1/2*(a*d*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) - sqrt(d*x^4 + c)/b)/d","A",0
807,1,40,0,0.155993," ","integrate(x^3/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d}}"," ",0,"1/2*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/sqrt(-b^2*c + a*b*d)","A",0
808,1,71,0,0.170063," ","integrate(1/x/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d} a} + \frac{\arctan\left(\frac{\sqrt{d x^{4} + c}}{\sqrt{-c}}\right)}{2 \, a \sqrt{-c}}"," ",0,"-1/2*b*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a) + 1/2*arctan(sqrt(d*x^4 + c)/sqrt(-c))/(a*sqrt(-c))","A",0
809,1,104,0,0.166633," ","integrate(1/x^5/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{b^{2} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{2 \, \sqrt{-b^{2} c + a b d} a^{2}} - \frac{{\left(2 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c}}{\sqrt{-c}}\right)}{4 \, a^{2} \sqrt{-c} c} - \frac{\sqrt{d x^{4} + c}}{4 \, a c x^{4}}"," ",0,"1/2*b^2*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) - 1/4*(2*b*c + a*d)*arctan(sqrt(d*x^4 + c)/sqrt(-c))/(a^2*sqrt(-c)*c) - 1/4*sqrt(d*x^4 + c)/(a*c*x^4)","A",0
810,-2,0,0,0.000000," ","integrate(x^9/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
811,-2,0,0,0.000000," ","integrate(x^5/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
812,1,72,0,0.178652," ","integrate(x/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d} \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{2 \, \sqrt{a b c d - a^{2} d^{2}}}"," ",0,"-1/2*sqrt(d)*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/sqrt(a*b*c*d - a^2*d^2)","A",0
813,1,116,0,0.219446," ","integrate(1/x^3/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, d^{\frac{3}{2}} {\left(\frac{b \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{\sqrt{a b c d - a^{2} d^{2}} a d} + \frac{2}{{\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} - c\right)} a d}\right)}"," ",0,"1/2*d^(3/2)*(b*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*a*d) + 2/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2 - c)*a*d))","A",0
814,1,205,0,1.675427," ","integrate(1/x^7/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, d^{\frac{5}{2}} {\left(\frac{3 \, b^{2} \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{\sqrt{a b c d - a^{2} d^{2}} a^{2} d^{2}} + \frac{2 \, {\left(3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b - 6 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c - 6 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d + 3 \, b c^{2} + 2 \, a c d\right)}}{{\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} - c\right)}^{3} a^{2} d^{2}}\right)}"," ",0,"-1/6*d^(5/2)*(3*b^2*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*a^2*d^2) + 2*(3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b - 6*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c - 6*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d + 3*b*c^2 + 2*a*c*d)/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2 - c)^3*a^2*d^2))","B",0
815,0,0,0,0.000000," ","integrate(x^8/(b*x^4+a)/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
822,1,180,0,0.174626," ","integrate(x^15/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{d x^{4} + c} a^{3} d}{4 \, {\left(b^{4} c - a b^{3} d\right)} {\left({\left(d x^{4} + c\right)} b - b c + a d\right)}} + \frac{{\left(6 \, a^{2} b c - 5 \, a^{3} d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\left(b^{4} c - a b^{3} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{{\left(d x^{4} + c\right)}^{\frac{3}{2}} b^{4} d^{4} - 3 \, \sqrt{d x^{4} + c} b^{4} c d^{4} - 6 \, \sqrt{d x^{4} + c} a b^{3} d^{5}}{6 \, b^{6} d^{6}}"," ",0,"1/4*sqrt(d*x^4 + c)*a^3*d/((b^4*c - a*b^3*d)*((d*x^4 + c)*b - b*c + a*d)) + 1/4*(6*a^2*b*c - 5*a^3*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/((b^4*c - a*b^3*d)*sqrt(-b^2*c + a*b*d)) + 1/6*((d*x^4 + c)^(3/2)*b^4*d^4 - 3*sqrt(d*x^4 + c)*b^4*c*d^4 - 6*sqrt(d*x^4 + c)*a*b^3*d^5)/(b^6*d^6)","A",0
823,1,134,0,0.167691," ","integrate(x^11/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d x^{4} + c} a^{2} d}{4 \, {\left(b^{3} c - a b^{2} d\right)} {\left({\left(d x^{4} + c\right)} b - b c + a d\right)}} - \frac{{\left(4 \, a b c - 3 \, a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{\sqrt{d x^{4} + c}}{2 \, b^{2} d}"," ",0,"-1/4*sqrt(d*x^4 + c)*a^2*d/((b^3*c - a*b^2*d)*((d*x^4 + c)*b - b*c + a*d)) - 1/4*(4*a*b*c - 3*a^2*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c - a*b^2*d)*sqrt(-b^2*c + a*b*d)) + 1/2*sqrt(d*x^4 + c)/(b^2*d)","A",0
824,1,116,0,0.169819," ","integrate(x^7/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{d x^{4} + c} a d^{2}}{{\left(b^{2} c - a b d\right)} {\left({\left(d x^{4} + c\right)} b - b c + a d\right)}} + \frac{{\left(2 \, b c d - a d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c - a b d\right)} \sqrt{-b^{2} c + a b d}}}{4 \, d}"," ",0,"1/4*(sqrt(d*x^4 + c)*a*d^2/((b^2*c - a*b*d)*((d*x^4 + c)*b - b*c + a*d)) + (2*b*c*d - a*d^2)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c - a*b*d)*sqrt(-b^2*c + a*b*d)))/d","A",0
825,1,93,0,0.164107," ","integrate(x^3/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{d \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, \sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} - \frac{\sqrt{d x^{4} + c} d}{4 \, {\left({\left(d x^{4} + c\right)} b - b c + a d\right)} {\left(b c - a d\right)}}"," ",0,"-1/4*d*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) - 1/4*sqrt(d*x^4 + c)*d/(((d*x^4 + c)*b - b*c + a*d)*(b*c - a*d))","A",0
826,1,139,0,0.167525," ","integrate(1/x/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{d x^{4} + c} b d}{4 \, {\left(a b c - a^{2} d\right)} {\left({\left(d x^{4} + c\right)} b - b c + a d\right)}} - \frac{{\left(2 \, b^{2} c - 3 \, a b d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\left(a^{2} b c - a^{3} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{\arctan\left(\frac{\sqrt{d x^{4} + c}}{\sqrt{-c}}\right)}{2 \, a^{2} \sqrt{-c}}"," ",0,"1/4*sqrt(d*x^4 + c)*b*d/((a*b*c - a^2*d)*((d*x^4 + c)*b - b*c + a*d)) - 1/4*(2*b^2*c - 3*a*b*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/((a^2*b*c - a^3*d)*sqrt(-b^2*c + a*b*d)) + 1/2*arctan(sqrt(d*x^4 + c)/sqrt(-c))/(a^2*sqrt(-c))","A",0
827,1,257,0,0.168511," ","integrate(1/x^5/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{3} c - 5 \, a b^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\left(a^{3} b c - a^{4} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x^{4} + c\right)}^{\frac{3}{2}} b^{2} c d - 2 \, \sqrt{d x^{4} + c} b^{2} c^{2} d - {\left(d x^{4} + c\right)}^{\frac{3}{2}} a b d^{2} + 2 \, \sqrt{d x^{4} + c} a b c d^{2} - \sqrt{d x^{4} + c} a^{2} d^{3}}{4 \, {\left(a^{2} b c^{2} - a^{3} c d\right)} {\left({\left(d x^{4} + c\right)}^{2} b - 2 \, {\left(d x^{4} + c\right)} b c + b c^{2} + {\left(d x^{4} + c\right)} a d - a c d\right)}} - \frac{{\left(4 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{4} + c}}{\sqrt{-c}}\right)}{4 \, a^{3} \sqrt{-c} c}"," ",0,"1/4*(4*b^3*c - 5*a*b^2*d)*arctan(sqrt(d*x^4 + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b*c - a^4*d)*sqrt(-b^2*c + a*b*d)) - 1/4*(2*(d*x^4 + c)^(3/2)*b^2*c*d - 2*sqrt(d*x^4 + c)*b^2*c^2*d - (d*x^4 + c)^(3/2)*a*b*d^2 + 2*sqrt(d*x^4 + c)*a*b*c*d^2 - sqrt(d*x^4 + c)*a^2*d^3)/((a^2*b*c^2 - a^3*c*d)*((d*x^4 + c)^2*b - 2*(d*x^4 + c)*b*c + b*c^2 + (d*x^4 + c)*a*d - a*c*d)) - 1/4*(4*b*c + a*d)*arctan(sqrt(d*x^4 + c)/sqrt(-c))/(a^3*sqrt(-c)*c)","A",0
828,1,337,0,0.590078," ","integrate(x^13/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(5 \, a^{2} b c \sqrt{d} - 4 \, a^{3} d^{\frac{3}{2}}\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{4 \, {\left(b^{4} c - a b^{3} d\right)} \sqrt{a b c d - a^{2} d^{2}}} + \frac{\sqrt{d x^{4} + c} x^{2}}{4 \, b^{2} d} + \frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a^{2} b c \sqrt{d} - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a^{3} d^{\frac{3}{2}} - a^{2} b c^{2} \sqrt{d}}{2 \, {\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d + b c^{2}\right)} {\left(b^{4} c - a b^{3} d\right)}} + \frac{{\left(b c \sqrt{d} + 4 \, a d^{\frac{3}{2}}\right)} \log\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2}\right)}{8 \, b^{3} d^{2}}"," ",0,"-1/4*(5*a^2*b*c*sqrt(d) - 4*a^3*d^(3/2))*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/((b^4*c - a*b^3*d)*sqrt(a*b*c*d - a^2*d^2)) + 1/4*sqrt(d*x^4 + c)*x^2/(b^2*d) + 1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a^2*b*c*sqrt(d) - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a^3*d^(3/2) - a^2*b*c^2*sqrt(d))/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c + 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d + b*c^2)*(b^4*c - a*b^3*d)) + 1/8*(b*c*sqrt(d) + 4*a*d^(3/2))*log((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2)/(b^3*d^2)","B",0
829,1,298,0,0.544586," ","integrate(x^9/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(3 \, a b c \sqrt{d} - 2 \, a^{2} d^{\frac{3}{2}}\right)} \arctan\left(-\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{4 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{a b c d - a^{2} d^{2}}} - \frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a b c \sqrt{d} - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a^{2} d^{\frac{3}{2}} - a b c^{2} \sqrt{d}}{2 \, {\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d + b c^{2}\right)} {\left(b^{3} c - a b^{2} d\right)}} - \frac{\log\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2}\right)}{4 \, b^{2} \sqrt{d}}"," ",0,"-1/4*(3*a*b*c*sqrt(d) - 2*a^2*d^(3/2))*arctan(-1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/((b^3*c - a*b^2*d)*sqrt(a*b*c*d - a^2*d^2)) - 1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*b*c*sqrt(d) - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a^2*d^(3/2) - a*b*c^2*sqrt(d))/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c + 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d + b*c^2)*(b^3*c - a*b^2*d)) - 1/4*log((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2)/(b^2*sqrt(d))","B",0
830,1,244,0,1.630181," ","integrate(x^5/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{c \sqrt{d} \arctan\left(-\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{4 \, \sqrt{a b c d - a^{2} d^{2}} {\left(b c - a d\right)}} + \frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c \sqrt{d} - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d^{\frac{3}{2}} - b c^{2} \sqrt{d}}{2 \, {\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d + b c^{2}\right)} {\left(b^{2} c - a b d\right)}}"," ",0,"1/4*c*sqrt(d)*arctan(-1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*(b*c - a*d)) + 1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c*sqrt(d) - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d^(3/2) - b*c^2*sqrt(d))/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c + 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d + b*c^2)*(b^2*c - a*b*d))","B",0
831,1,237,0,0.375623," ","integrate(x/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, d^{\frac{3}{2}} {\left(\frac{{\left(b c - 2 \, a d\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{{\left(a b c d - a^{2} d^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d - b c^{2}\right)}}{{\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d + b c^{2}\right)} {\left(a b c d - a^{2} d^{2}\right)}}\right)}"," ",0,"-1/4*d^(3/2)*((b*c - 2*a*d)*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(a*b*c*d - a^2*d^2)^(3/2) + 2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d - b*c^2)/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c + 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d + b*c^2)*(a*b*c*d - a^2*d^2)))","B",0
832,1,418,0,1.681469," ","integrate(1/x^3/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, d^{\frac{5}{2}} {\left(\frac{{\left(3 \, b^{2} c - 4 \, a b d\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{{\left(a^{2} b c d^{2} - a^{3} d^{3}\right)} \sqrt{a b c d - a^{2} d^{2}}} + \frac{2 \, {\left(3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b^{2} c - 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} a b d - 6 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b^{2} c^{2} + 14 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a b c d - 8 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a^{2} d^{2} + 3 \, b^{2} c^{3} - 2 \, a b c^{2} d\right)}}{{\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{6} b - 3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b c + 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} a d + 3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c^{2} - 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a c d - b c^{3}\right)} {\left(a^{2} b c d^{2} - a^{3} d^{3}\right)}}\right)}"," ",0,"1/4*d^(5/2)*((3*b^2*c - 4*a*b*d)*arctan(1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/((a^2*b*c*d^2 - a^3*d^3)*sqrt(a*b*c*d - a^2*d^2)) + 2*(3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b^2*c - 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*a*b*d - 6*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b^2*c^2 + 14*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*b*c*d - 8*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a^2*d^2 + 3*b^2*c^3 - 2*a*b*c^2*d)/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^6*b - 3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b*c + 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*a*d + 3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c^2 - 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*c*d - b*c^3)*(a^2*b*c*d^2 - a^3*d^3)))","B",0
833,1,395,0,2.038201," ","integrate(1/x^7/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, d^{\frac{7}{2}} {\left(\frac{3 \, {\left(5 \, b^{3} c - 6 \, a b^{2} d\right)} \arctan\left(-\frac{{\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{{\left(a^{3} b c d^{3} - a^{4} d^{4}\right)} \sqrt{a b c d - a^{2} d^{2}}} - \frac{6 \, {\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b^{3} c - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a b^{2} d - b^{3} c^{2}\right)}}{{\left(a^{3} b c d^{3} - a^{4} d^{4}\right)} {\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d + b c^{2}\right)}} - \frac{8 \, {\left(3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{4} b - 6 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} b c - 3 \, {\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} a d + 3 \, b c^{2} + a c d\right)}}{{\left({\left(\sqrt{d} x^{2} - \sqrt{d x^{4} + c}\right)}^{2} - c\right)}^{3} a^{3} d^{3}}\right)}"," ",0,"1/12*d^(7/2)*(3*(5*b^3*c - 6*a*b^2*d)*arctan(-1/2*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/((a^3*b*c*d^3 - a^4*d^4)*sqrt(a*b*c*d - a^2*d^2)) - 6*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b^3*c - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*b^2*d - b^3*c^2)/((a^3*b*c*d^3 - a^4*d^4)*((sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b - 2*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c + 4*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d + b*c^2)) - 8*(3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^4*b - 6*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*b*c - 3*(sqrt(d)*x^2 - sqrt(d*x^4 + c))^2*a*d + 3*b*c^2 + a*c*d)/(((sqrt(d)*x^2 - sqrt(d*x^4 + c))^2 - c)^3*a^3*d^3))","B",0
834,0,0,0,0.000000," ","integrate(x^8/(b*x^4+a)^2/(d*x^4+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
853,1,106,0,0.169830," ","integrate(x^17/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\frac{a^{2} \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{{\left(d x^{6} + c\right)}^{\frac{3}{2}} b^{2} d^{4} - 3 \, \sqrt{d x^{6} + c} b^{2} c d^{4} - 3 \, \sqrt{d x^{6} + c} a b d^{5}}{9 \, b^{3} d^{6}}"," ",0,"1/3*a^2*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 1/9*((d*x^6 + c)^(3/2)*b^2*d^4 - 3*sqrt(d*x^6 + c)*b^2*c*d^4 - 3*sqrt(d*x^6 + c)*a*b*d^5)/(b^3*d^6)","A",0
854,1,64,0,0.192200," ","integrate(x^11/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{a d \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b} - \frac{\sqrt{d x^{6} + c}}{b}}{3 \, d}"," ",0,"-1/3*(a*d*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) - sqrt(d*x^6 + c)/b)/d","A",0
855,1,40,0,0.167335," ","integrate(x^5/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d}}"," ",0,"1/3*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/sqrt(-b^2*c + a*b*d)","A",0
856,1,71,0,0.175639," ","integrate(1/x/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a} + \frac{\arctan\left(\frac{\sqrt{d x^{6} + c}}{\sqrt{-c}}\right)}{3 \, a \sqrt{-c}}"," ",0,"-1/3*b*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a) + 1/3*arctan(sqrt(d*x^6 + c)/sqrt(-c))/(a*sqrt(-c))","A",0
857,1,104,0,0.177097," ","integrate(1/x^7/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\frac{b^{2} \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{3 \, \sqrt{-b^{2} c + a b d} a^{2}} - \frac{{\left(2 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{6} + c}}{\sqrt{-c}}\right)}{6 \, a^{2} \sqrt{-c} c} - \frac{\sqrt{d x^{6} + c}}{6 \, a c x^{6}}"," ",0,"1/3*b^2*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) - 1/6*(2*b*c + a*d)*arctan(sqrt(d*x^6 + c)/sqrt(-c))/(a^2*sqrt(-c)*c) - 1/6*sqrt(d*x^6 + c)/(a*c*x^6)","A",0
858,0,0,0,0.000000," ","integrate(x^14/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\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
859,1,156,0,0.233756," ","integrate(x^8/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(a \sqrt{-d} \arctan\left(\frac{a \sqrt{d}}{\sqrt{a b c - a^{2} d}}\right) - \sqrt{a b c - a^{2} d} \arctan\left(\frac{\sqrt{d}}{\sqrt{-d}}\right)\right)} \mathrm{sgn}\left(x\right)}{3 \, \sqrt{a b c - a^{2} d} b \sqrt{-d}} + \frac{a \arctan\left(\frac{a \sqrt{d + \frac{c}{x^{6}}}}{\sqrt{a b c - a^{2} d}}\right)}{3 \, \sqrt{a b c - a^{2} d} b \mathrm{sgn}\left(x\right)} - \frac{\arctan\left(\frac{\sqrt{d + \frac{c}{x^{6}}}}{\sqrt{-d}}\right)}{3 \, b \sqrt{-d} \mathrm{sgn}\left(x\right)}"," ",0,"-1/3*(a*sqrt(-d)*arctan(a*sqrt(d)/sqrt(a*b*c - a^2*d)) - sqrt(a*b*c - a^2*d)*arctan(sqrt(d)/sqrt(-d)))*sgn(x)/(sqrt(a*b*c - a^2*d)*b*sqrt(-d)) + 1/3*a*arctan(a*sqrt(d + c/x^6)/sqrt(a*b*c - a^2*d))/(sqrt(a*b*c - a^2*d)*b*sgn(x)) - 1/3*arctan(sqrt(d + c/x^6)/sqrt(-d))/(b*sqrt(-d)*sgn(x))","B",0
860,1,72,0,0.246815," ","integrate(x^2/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d} \arctan\left(\frac{{\left(\sqrt{d} x^{3} - \sqrt{d x^{6} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{3 \, \sqrt{a b c d - a^{2} d^{2}}}"," ",0,"-1/3*sqrt(d)*arctan(1/2*((sqrt(d)*x^3 - sqrt(d*x^6 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/sqrt(a*b*c*d - a^2*d^2)","A",0
861,-1,0,0,0.000000," ","integrate(1/x^4/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
862,-1,0,0,0.000000," ","integrate(1/x^10/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
863,0,0,0,0.000000," ","integrate(x^4/(b*x^6+a)/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
870,1,134,0,0.441335," ","integrate(x^17/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d x^{6} + c} a^{2} d}{6 \, {\left(b^{3} c - a b^{2} d\right)} {\left({\left(d x^{6} + c\right)} b - b c + a d\right)}} - \frac{{\left(4 \, a b c - 3 \, a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{6 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{\sqrt{d x^{6} + c}}{3 \, b^{2} d}"," ",0,"-1/6*sqrt(d*x^6 + c)*a^2*d/((b^3*c - a*b^2*d)*((d*x^6 + c)*b - b*c + a*d)) - 1/6*(4*a*b*c - 3*a^2*d)*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c - a*b^2*d)*sqrt(-b^2*c + a*b*d)) + 1/3*sqrt(d*x^6 + c)/(b^2*d)","A",0
871,1,116,0,0.289003," ","integrate(x^11/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{d x^{6} + c} a d^{2}}{{\left(b^{2} c - a b d\right)} {\left({\left(d x^{6} + c\right)} b - b c + a d\right)}} + \frac{{\left(2 \, b c d - a d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c - a b d\right)} \sqrt{-b^{2} c + a b d}}}{6 \, d}"," ",0,"1/6*(sqrt(d*x^6 + c)*a*d^2/((b^2*c - a*b*d)*((d*x^6 + c)*b - b*c + a*d)) + (2*b*c*d - a*d^2)*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c - a*b*d)*sqrt(-b^2*c + a*b*d)))/d","A",0
872,1,93,0,0.302379," ","integrate(x^5/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{d \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{6 \, \sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} - \frac{\sqrt{d x^{6} + c} d}{6 \, {\left({\left(d x^{6} + c\right)} b - b c + a d\right)} {\left(b c - a d\right)}}"," ",0,"-1/6*d*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) - 1/6*sqrt(d*x^6 + c)*d/(((d*x^6 + c)*b - b*c + a*d)*(b*c - a*d))","A",0
873,1,139,0,0.406522," ","integrate(1/x/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{d x^{6} + c} b d}{6 \, {\left(a b c - a^{2} d\right)} {\left({\left(d x^{6} + c\right)} b - b c + a d\right)}} - \frac{{\left(2 \, b^{2} c - 3 \, a b d\right)} \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{6 \, {\left(a^{2} b c - a^{3} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{\arctan\left(\frac{\sqrt{d x^{6} + c}}{\sqrt{-c}}\right)}{3 \, a^{2} \sqrt{-c}}"," ",0,"1/6*sqrt(d*x^6 + c)*b*d/((a*b*c - a^2*d)*((d*x^6 + c)*b - b*c + a*d)) - 1/6*(2*b^2*c - 3*a*b*d)*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/((a^2*b*c - a^3*d)*sqrt(-b^2*c + a*b*d)) + 1/3*arctan(sqrt(d*x^6 + c)/sqrt(-c))/(a^2*sqrt(-c))","A",0
874,1,257,0,0.410074," ","integrate(1/x^7/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{3} c - 5 \, a b^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{6} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{6 \, {\left(a^{3} b c - a^{4} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x^{6} + c\right)}^{\frac{3}{2}} b^{2} c d - 2 \, \sqrt{d x^{6} + c} b^{2} c^{2} d - {\left(d x^{6} + c\right)}^{\frac{3}{2}} a b d^{2} + 2 \, \sqrt{d x^{6} + c} a b c d^{2} - \sqrt{d x^{6} + c} a^{2} d^{3}}{6 \, {\left(a^{2} b c^{2} - a^{3} c d\right)} {\left({\left(d x^{6} + c\right)}^{2} b - 2 \, {\left(d x^{6} + c\right)} b c + b c^{2} + {\left(d x^{6} + c\right)} a d - a c d\right)}} - \frac{{\left(4 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{6} + c}}{\sqrt{-c}}\right)}{6 \, a^{3} \sqrt{-c} c}"," ",0,"1/6*(4*b^3*c - 5*a*b^2*d)*arctan(sqrt(d*x^6 + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b*c - a^4*d)*sqrt(-b^2*c + a*b*d)) - 1/6*(2*(d*x^6 + c)^(3/2)*b^2*c*d - 2*sqrt(d*x^6 + c)*b^2*c^2*d - (d*x^6 + c)^(3/2)*a*b*d^2 + 2*sqrt(d*x^6 + c)*a*b*c*d^2 - sqrt(d*x^6 + c)*a^2*d^3)/((a^2*b*c^2 - a^3*c*d)*((d*x^6 + c)^2*b - 2*(d*x^6 + c)*b*c + b*c^2 + (d*x^6 + c)*a*d - a*c*d)) - 1/6*(4*b*c + a*d)*arctan(sqrt(d*x^6 + c)/sqrt(-c))/(a^3*sqrt(-c)*c)","A",0
875,1,343,0,0.511119," ","integrate(x^14/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(3 \, a b c \sqrt{-d} \arctan\left(\frac{a \sqrt{d}}{\sqrt{a b c - a^{2} d}}\right) - 2 \, a^{2} \sqrt{-d} d \arctan\left(\frac{a \sqrt{d}}{\sqrt{a b c - a^{2} d}}\right) - 2 \, \sqrt{a b c - a^{2} d} b c \arctan\left(\frac{\sqrt{d}}{\sqrt{-d}}\right) + 2 \, \sqrt{a b c - a^{2} d} a d \arctan\left(\frac{\sqrt{d}}{\sqrt{-d}}\right) + \sqrt{a b c - a^{2} d} a \sqrt{-d} \sqrt{d}\right)} \mathrm{sgn}\left(x\right)}{6 \, {\left(\sqrt{a b c - a^{2} d} b^{3} c \sqrt{-d} - \sqrt{a b c - a^{2} d} a b^{2} \sqrt{-d} d\right)}} + \frac{a c \sqrt{d + \frac{c}{x^{6}}}}{6 \, {\left(b^{2} c \mathrm{sgn}\left(x\right) - a b d \mathrm{sgn}\left(x\right)\right)} {\left(b c + a {\left(d + \frac{c}{x^{6}}\right)} - a d\right)}} + \frac{{\left(3 \, a b c - 2 \, a^{2} d\right)} \arctan\left(\frac{a \sqrt{d + \frac{c}{x^{6}}}}{\sqrt{a b c - a^{2} d}}\right)}{6 \, {\left(b^{3} c \mathrm{sgn}\left(x\right) - a b^{2} d \mathrm{sgn}\left(x\right)\right)} \sqrt{a b c - a^{2} d}} - \frac{\arctan\left(\frac{\sqrt{d + \frac{c}{x^{6}}}}{\sqrt{-d}}\right)}{3 \, b^{2} \sqrt{-d} \mathrm{sgn}\left(x\right)}"," ",0,"-1/6*(3*a*b*c*sqrt(-d)*arctan(a*sqrt(d)/sqrt(a*b*c - a^2*d)) - 2*a^2*sqrt(-d)*d*arctan(a*sqrt(d)/sqrt(a*b*c - a^2*d)) - 2*sqrt(a*b*c - a^2*d)*b*c*arctan(sqrt(d)/sqrt(-d)) + 2*sqrt(a*b*c - a^2*d)*a*d*arctan(sqrt(d)/sqrt(-d)) + sqrt(a*b*c - a^2*d)*a*sqrt(-d)*sqrt(d))*sgn(x)/(sqrt(a*b*c - a^2*d)*b^3*c*sqrt(-d) - sqrt(a*b*c - a^2*d)*a*b^2*sqrt(-d)*d) + 1/6*a*c*sqrt(d + c/x^6)/((b^2*c*sgn(x) - a*b*d*sgn(x))*(b*c + a*(d + c/x^6) - a*d)) + 1/6*(3*a*b*c - 2*a^2*d)*arctan(a*sqrt(d + c/x^6)/sqrt(a*b*c - a^2*d))/((b^3*c*sgn(x) - a*b^2*d*sgn(x))*sqrt(a*b*c - a^2*d)) - 1/3*arctan(sqrt(d + c/x^6)/sqrt(-d))/(b^2*sqrt(-d)*sgn(x))","B",0
876,-1,0,0,0.000000," ","integrate(x^8/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
877,1,237,0,0.284197," ","integrate(x^2/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, d^{\frac{3}{2}} {\left(\frac{{\left(b c - 2 \, a d\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{3} - \sqrt{d x^{6} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{{\left(a b c d - a^{2} d^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left({\left(\sqrt{d} x^{3} - \sqrt{d x^{6} + c}\right)}^{2} b c - 2 \, {\left(\sqrt{d} x^{3} - \sqrt{d x^{6} + c}\right)}^{2} a d - b c^{2}\right)}}{{\left({\left(\sqrt{d} x^{3} - \sqrt{d x^{6} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{3} - \sqrt{d x^{6} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{3} - \sqrt{d x^{6} + c}\right)}^{2} a d + b c^{2}\right)} {\left(a b c d - a^{2} d^{2}\right)}}\right)}"," ",0,"-1/6*d^(3/2)*((b*c - 2*a*d)*arctan(1/2*((sqrt(d)*x^3 - sqrt(d*x^6 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(a*b*c*d - a^2*d^2)^(3/2) + 2*((sqrt(d)*x^3 - sqrt(d*x^6 + c))^2*b*c - 2*(sqrt(d)*x^3 - sqrt(d*x^6 + c))^2*a*d - b*c^2)/(((sqrt(d)*x^3 - sqrt(d*x^6 + c))^4*b - 2*(sqrt(d)*x^3 - sqrt(d*x^6 + c))^2*b*c + 4*(sqrt(d)*x^3 - sqrt(d*x^6 + c))^2*a*d + b*c^2)*(a*b*c*d - a^2*d^2)))","B",0
878,-1,0,0,0.000000," ","integrate(1/x^4/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
879,-1,0,0,0.000000," ","integrate(1/x^10/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
880,0,0,0,0.000000," ","integrate(x^4/(b*x^6+a)^2/(d*x^6+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
887,1,106,0,0.160013," ","integrate(x^23/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{a^{2} \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, \sqrt{-b^{2} c + a b d} b^{2}} + \frac{{\left(d x^{8} + c\right)}^{\frac{3}{2}} b^{2} d^{4} - 3 \, \sqrt{d x^{8} + c} b^{2} c d^{4} - 3 \, \sqrt{d x^{8} + c} a b d^{5}}{12 \, b^{3} d^{6}}"," ",0,"1/4*a^2*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 1/12*((d*x^8 + c)^(3/2)*b^2*d^4 - 3*sqrt(d*x^8 + c)*b^2*c*d^4 - 3*sqrt(d*x^8 + c)*a*b*d^5)/(b^3*d^6)","A",0
888,1,64,0,0.157044," ","integrate(x^15/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{a d \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b} - \frac{\sqrt{d x^{8} + c}}{b}}{4 \, d}"," ",0,"-1/4*(a*d*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) - sqrt(d*x^8 + c)/b)/d","A",0
889,1,40,0,0.166110," ","integrate(x^7/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, \sqrt{-b^{2} c + a b d}}"," ",0,"1/4*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/sqrt(-b^2*c + a*b*d)","A",0
890,1,71,0,0.158914," ","integrate(1/x/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, \sqrt{-b^{2} c + a b d} a} + \frac{\arctan\left(\frac{\sqrt{d x^{8} + c}}{\sqrt{-c}}\right)}{4 \, a \sqrt{-c}}"," ",0,"-1/4*b*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a) + 1/4*arctan(sqrt(d*x^8 + c)/sqrt(-c))/(a*sqrt(-c))","A",0
891,1,104,0,0.175554," ","integrate(1/x^9/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{b^{2} \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, \sqrt{-b^{2} c + a b d} a^{2}} - \frac{{\left(2 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{8} + c}}{\sqrt{-c}}\right)}{8 \, a^{2} \sqrt{-c} c} - \frac{\sqrt{d x^{8} + c}}{8 \, a c x^{8}}"," ",0,"1/4*b^2*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2) - 1/8*(2*b*c + a*d)*arctan(sqrt(d*x^8 + c)/sqrt(-c))/(a^2*sqrt(-c)*c) - 1/8*sqrt(d*x^8 + c)/(a*c*x^8)","A",0
892,-2,0,0,0.000000," ","integrate(x^19/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
893,-2,0,0,0.000000," ","integrate(x^11/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
894,1,72,0,0.203381," ","integrate(x^3/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d} \arctan\left(\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{4 \, \sqrt{a b c d - a^{2} d^{2}}}"," ",0,"-1/4*sqrt(d)*arctan(1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/sqrt(a*b*c*d - a^2*d^2)","A",0
895,1,116,0,0.229484," ","integrate(1/x^5/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, d^{\frac{3}{2}} {\left(\frac{b \arctan\left(\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{\sqrt{a b c d - a^{2} d^{2}} a d} + \frac{2}{{\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} - c\right)} a d}\right)}"," ",0,"1/4*d^(3/2)*(b*arctan(1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*a*d) + 2/(((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2 - c)*a*d))","A",0
896,1,205,0,1.686231," ","integrate(1/x^13/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{1}{12} \, d^{\frac{5}{2}} {\left(\frac{3 \, b^{2} \arctan\left(\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{\sqrt{a b c d - a^{2} d^{2}} a^{2} d^{2}} + \frac{2 \, {\left(3 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b - 6 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c - 6 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d + 3 \, b c^{2} + 2 \, a c d\right)}}{{\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} - c\right)}^{3} a^{2} d^{2}}\right)}"," ",0,"-1/12*d^(5/2)*(3*b^2*arctan(1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*a^2*d^2) + 2*(3*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b - 6*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c - 6*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d + 3*b*c^2 + 2*a*c*d)/(((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2 - c)^3*a^2*d^2))","B",0
897,0,0,0,0.000000," ","integrate(x^9/(b*x^8+a)/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
908,1,134,0,0.177430," ","integrate(x^23/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d x^{8} + c} a^{2} d}{8 \, {\left(b^{3} c - a b^{2} d\right)} {\left({\left(d x^{8} + c\right)} b - b c + a d\right)}} - \frac{{\left(4 \, a b c - 3 \, a^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{\sqrt{d x^{8} + c}}{4 \, b^{2} d}"," ",0,"-1/8*sqrt(d*x^8 + c)*a^2*d/((b^3*c - a*b^2*d)*((d*x^8 + c)*b - b*c + a*d)) - 1/8*(4*a*b*c - 3*a^2*d)*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c - a*b^2*d)*sqrt(-b^2*c + a*b*d)) + 1/4*sqrt(d*x^8 + c)/(b^2*d)","A",0
909,1,116,0,0.169055," ","integrate(x^15/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{d x^{8} + c} a d^{2}}{{\left(b^{2} c - a b d\right)} {\left({\left(d x^{8} + c\right)} b - b c + a d\right)}} + \frac{{\left(2 \, b c d - a d^{2}\right)} \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c - a b d\right)} \sqrt{-b^{2} c + a b d}}}{8 \, d}"," ",0,"1/8*(sqrt(d*x^8 + c)*a*d^2/((b^2*c - a*b*d)*((d*x^8 + c)*b - b*c + a*d)) + (2*b*c*d - a*d^2)*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c - a*b*d)*sqrt(-b^2*c + a*b*d)))/d","A",0
910,1,93,0,0.160047," ","integrate(x^7/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{d \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, \sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} - \frac{\sqrt{d x^{8} + c} d}{8 \, {\left({\left(d x^{8} + c\right)} b - b c + a d\right)} {\left(b c - a d\right)}}"," ",0,"-1/8*d*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) - 1/8*sqrt(d*x^8 + c)*d/(((d*x^8 + c)*b - b*c + a*d)*(b*c - a*d))","A",0
911,1,139,0,0.209036," ","integrate(1/x/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{d x^{8} + c} b d}{8 \, {\left(a b c - a^{2} d\right)} {\left({\left(d x^{8} + c\right)} b - b c + a d\right)}} - \frac{{\left(2 \, b^{2} c - 3 \, a b d\right)} \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\left(a^{2} b c - a^{3} d\right)} \sqrt{-b^{2} c + a b d}} + \frac{\arctan\left(\frac{\sqrt{d x^{8} + c}}{\sqrt{-c}}\right)}{4 \, a^{2} \sqrt{-c}}"," ",0,"1/8*sqrt(d*x^8 + c)*b*d/((a*b*c - a^2*d)*((d*x^8 + c)*b - b*c + a*d)) - 1/8*(2*b^2*c - 3*a*b*d)*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/((a^2*b*c - a^3*d)*sqrt(-b^2*c + a*b*d)) + 1/4*arctan(sqrt(d*x^8 + c)/sqrt(-c))/(a^2*sqrt(-c))","A",0
912,1,257,0,0.172245," ","integrate(1/x^9/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{3} c - 5 \, a b^{2} d\right)} \arctan\left(\frac{\sqrt{d x^{8} + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\left(a^{3} b c - a^{4} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x^{8} + c\right)}^{\frac{3}{2}} b^{2} c d - 2 \, \sqrt{d x^{8} + c} b^{2} c^{2} d - {\left(d x^{8} + c\right)}^{\frac{3}{2}} a b d^{2} + 2 \, \sqrt{d x^{8} + c} a b c d^{2} - \sqrt{d x^{8} + c} a^{2} d^{3}}{8 \, {\left(a^{2} b c^{2} - a^{3} c d\right)} {\left({\left(d x^{8} + c\right)}^{2} b - 2 \, {\left(d x^{8} + c\right)} b c + b c^{2} + {\left(d x^{8} + c\right)} a d - a c d\right)}} - \frac{{\left(4 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x^{8} + c}}{\sqrt{-c}}\right)}{8 \, a^{3} \sqrt{-c} c}"," ",0,"1/8*(4*b^3*c - 5*a*b^2*d)*arctan(sqrt(d*x^8 + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b*c - a^4*d)*sqrt(-b^2*c + a*b*d)) - 1/8*(2*(d*x^8 + c)^(3/2)*b^2*c*d - 2*sqrt(d*x^8 + c)*b^2*c^2*d - (d*x^8 + c)^(3/2)*a*b*d^2 + 2*sqrt(d*x^8 + c)*a*b*c*d^2 - sqrt(d*x^8 + c)*a^2*d^3)/((a^2*b*c^2 - a^3*c*d)*((d*x^8 + c)^2*b - 2*(d*x^8 + c)*b*c + b*c^2 + (d*x^8 + c)*a*d - a*c*d)) - 1/8*(4*b*c + a*d)*arctan(sqrt(d*x^8 + c)/sqrt(-c))/(a^3*sqrt(-c)*c)","A",0
913,1,298,0,0.651568," ","integrate(x^19/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(3 \, a b c \sqrt{d} - 2 \, a^{2} d^{\frac{3}{2}}\right)} \arctan\left(-\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{8 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{a b c d - a^{2} d^{2}}} - \frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a b c \sqrt{d} - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a^{2} d^{\frac{3}{2}} - a b c^{2} \sqrt{d}}{4 \, {\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d + b c^{2}\right)} {\left(b^{3} c - a b^{2} d\right)}} - \frac{\log\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2}\right)}{8 \, b^{2} \sqrt{d}}"," ",0,"-1/8*(3*a*b*c*sqrt(d) - 2*a^2*d^(3/2))*arctan(-1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/((b^3*c - a*b^2*d)*sqrt(a*b*c*d - a^2*d^2)) - 1/4*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*b*c*sqrt(d) - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a^2*d^(3/2) - a*b*c^2*sqrt(d))/(((sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c + 4*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d + b*c^2)*(b^3*c - a*b^2*d)) - 1/8*log((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2)/(b^2*sqrt(d))","B",0
914,1,244,0,1.594762," ","integrate(x^11/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{c \sqrt{d} \arctan\left(-\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{8 \, \sqrt{a b c d - a^{2} d^{2}} {\left(b c - a d\right)}} + \frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c \sqrt{d} - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d^{\frac{3}{2}} - b c^{2} \sqrt{d}}{4 \, {\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d + b c^{2}\right)} {\left(b^{2} c - a b d\right)}}"," ",0,"1/8*c*sqrt(d)*arctan(-1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(sqrt(a*b*c*d - a^2*d^2)*(b*c - a*d)) + 1/4*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c*sqrt(d) - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d^(3/2) - b*c^2*sqrt(d))/(((sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c + 4*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d + b*c^2)*(b^2*c - a*b*d))","B",0
915,1,237,0,0.388944," ","integrate(x^3/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","-\frac{1}{8} \, d^{\frac{3}{2}} {\left(\frac{{\left(b c - 2 \, a d\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{{\left(a b c d - a^{2} d^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d - b c^{2}\right)}}{{\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d + b c^{2}\right)} {\left(a b c d - a^{2} d^{2}\right)}}\right)}"," ",0,"-1/8*d^(3/2)*((b*c - 2*a*d)*arctan(1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/(a*b*c*d - a^2*d^2)^(3/2) + 2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d - b*c^2)/(((sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c + 4*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d + b*c^2)*(a*b*c*d - a^2*d^2)))","B",0
916,1,418,0,1.763989," ","integrate(1/x^5/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, d^{\frac{5}{2}} {\left(\frac{{\left(3 \, b^{2} c - 4 \, a b d\right)} \arctan\left(\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{{\left(a^{2} b c d^{2} - a^{3} d^{3}\right)} \sqrt{a b c d - a^{2} d^{2}}} + \frac{2 \, {\left(3 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b^{2} c - 4 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} a b d - 6 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b^{2} c^{2} + 14 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a b c d - 8 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a^{2} d^{2} + 3 \, b^{2} c^{3} - 2 \, a b c^{2} d\right)}}{{\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{6} b - 3 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b c + 4 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} a d + 3 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c^{2} - 4 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a c d - b c^{3}\right)} {\left(a^{2} b c d^{2} - a^{3} d^{3}\right)}}\right)}"," ",0,"1/8*d^(5/2)*((3*b^2*c - 4*a*b*d)*arctan(1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/((a^2*b*c*d^2 - a^3*d^3)*sqrt(a*b*c*d - a^2*d^2)) + 2*(3*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b^2*c - 4*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*a*b*d - 6*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b^2*c^2 + 14*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*b*c*d - 8*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a^2*d^2 + 3*b^2*c^3 - 2*a*b*c^2*d)/(((sqrt(d)*x^4 - sqrt(d*x^8 + c))^6*b - 3*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b*c + 4*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*a*d + 3*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c^2 - 4*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*c*d - b*c^3)*(a^2*b*c*d^2 - a^3*d^3)))","B",0
917,1,395,0,2.277288," ","integrate(1/x^13/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, d^{\frac{7}{2}} {\left(\frac{3 \, {\left(5 \, b^{3} c - 6 \, a b^{2} d\right)} \arctan\left(-\frac{{\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b - b c + 2 \, a d}{2 \, \sqrt{a b c d - a^{2} d^{2}}}\right)}{{\left(a^{3} b c d^{3} - a^{4} d^{4}\right)} \sqrt{a b c d - a^{2} d^{2}}} - \frac{6 \, {\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b^{3} c - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a b^{2} d - b^{3} c^{2}\right)}}{{\left(a^{3} b c d^{3} - a^{4} d^{4}\right)} {\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b - 2 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c + 4 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d + b c^{2}\right)}} - \frac{8 \, {\left(3 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{4} b - 6 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} b c - 3 \, {\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} a d + 3 \, b c^{2} + a c d\right)}}{{\left({\left(\sqrt{d} x^{4} - \sqrt{d x^{8} + c}\right)}^{2} - c\right)}^{3} a^{3} d^{3}}\right)}"," ",0,"1/24*d^(7/2)*(3*(5*b^3*c - 6*a*b^2*d)*arctan(-1/2*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b - b*c + 2*a*d)/sqrt(a*b*c*d - a^2*d^2))/((a^3*b*c*d^3 - a^4*d^4)*sqrt(a*b*c*d - a^2*d^2)) - 6*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b^3*c - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*b^2*d - b^3*c^2)/((a^3*b*c*d^3 - a^4*d^4)*((sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b - 2*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c + 4*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d + b*c^2)) - 8*(3*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^4*b - 6*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*b*c - 3*(sqrt(d)*x^4 - sqrt(d*x^8 + c))^2*a*d + 3*b*c^2 + a*c*d)/(((sqrt(d)*x^4 - sqrt(d*x^8 + c))^2 - c)^3*a^3*d^3))","B",0
918,0,0,0,0.000000," ","integrate(x^9/(b*x^8+a)^2/(d*x^8+c)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
929,1,143,0,0.192982," ","integrate((a+b/x^2)*x^5*(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{48} \, {\left(2 \, {\left(4 \, a x^{2} \mathrm{sgn}\left(x\right) + \frac{6 \, b c^{4} \mathrm{sgn}\left(x\right) + a c^{3} d \mathrm{sgn}\left(x\right)}{c^{4}}\right)} x^{2} + \frac{3 \, {\left(2 \, b c^{3} d \mathrm{sgn}\left(x\right) - a c^{2} d^{2} \mathrm{sgn}\left(x\right)\right)}}{c^{4}}\right)} \sqrt{c x^{2} + d} x + \frac{{\left(2 \, b c d^{2} \mathrm{sgn}\left(x\right) - a d^{3} \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + d} \right|}\right)}{16 \, c^{\frac{5}{2}}} - \frac{{\left(2 \, b c d^{2} \log\left({\left| d \right|}\right) - a d^{3} \log\left({\left| d \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{32 \, c^{\frac{5}{2}}}"," ",0,"1/48*(2*(4*a*x^2*sgn(x) + (6*b*c^4*sgn(x) + a*c^3*d*sgn(x))/c^4)*x^2 + 3*(2*b*c^3*d*sgn(x) - a*c^2*d^2*sgn(x))/c^4)*sqrt(c*x^2 + d)*x + 1/16*(2*b*c*d^2*sgn(x) - a*d^3*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + d)))/c^(5/2) - 1/32*(2*b*c*d^2*log(abs(d)) - a*d^3*log(abs(d)))*sgn(x)/c^(5/2)","A",0
930,1,105,0,0.257450," ","integrate((a+b/x^2)*x^3*(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, a x^{2} \mathrm{sgn}\left(x\right) + \frac{4 \, b c^{2} \mathrm{sgn}\left(x\right) + a c d \mathrm{sgn}\left(x\right)}{c^{2}}\right)} \sqrt{c x^{2} + d} x - \frac{{\left(4 \, b c d \mathrm{sgn}\left(x\right) - a d^{2} \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + d} \right|}\right)}{8 \, c^{\frac{3}{2}}} + \frac{{\left(4 \, b c d \log\left({\left| d \right|}\right) - a d^{2} \log\left({\left| d \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{16 \, c^{\frac{3}{2}}}"," ",0,"1/8*(2*a*x^2*sgn(x) + (4*b*c^2*sgn(x) + a*c*d*sgn(x))/c^2)*sqrt(c*x^2 + d)*x - 1/8*(4*b*c*d*sgn(x) - a*d^2*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + d)))/c^(3/2) + 1/16*(4*b*c*d*log(abs(d)) - a*d^2*log(abs(d)))*sgn(x)/c^(3/2)","A",0
931,1,92,0,0.289308," ","integrate((a+b/x^2)*x*(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c x^{2} + d} a x \mathrm{sgn}\left(x\right) + \frac{2 \, b \sqrt{c} d \mathrm{sgn}\left(x\right)}{{\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d} - \frac{{\left(2 \, b c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + a \sqrt{c} d \mathrm{sgn}\left(x\right)\right)} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2}\right)}{4 \, c}"," ",0,"1/2*sqrt(c*x^2 + d)*a*x*sgn(x) + 2*b*sqrt(c)*d*sgn(x)/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d) - 1/4*(2*b*c^(3/2)*sgn(x) + a*sqrt(c)*d*sgn(x))*log((sqrt(c)*x - sqrt(c*x^2 + d))^2)/c","A",0
932,1,163,0,0.487811," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x,x, algorithm=""giac"")","-\frac{1}{2} \, a \sqrt{c} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2}\right) \mathrm{sgn}\left(x\right) + \frac{2 \, {\left(3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a \sqrt{c} d \mathrm{sgn}\left(x\right) - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a \sqrt{c} d^{2} \mathrm{sgn}\left(x\right) + b c^{\frac{3}{2}} d^{2} \mathrm{sgn}\left(x\right) + 3 \, a \sqrt{c} d^{3} \mathrm{sgn}\left(x\right)\right)}}{3 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{3}}"," ",0,"-1/2*a*sqrt(c)*log((sqrt(c)*x - sqrt(c*x^2 + d))^2)*sgn(x) + 2/3*(3*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(3/2)*sgn(x) + 3*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*sqrt(c)*d*sgn(x) - 6*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*sqrt(c)*d^2*sgn(x) + b*c^(3/2)*d^2*sgn(x) + 3*a*sqrt(c)*d^3*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^3","B",0
933,1,250,0,0.918218," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^3,x, algorithm=""giac"")","\frac{2 \, {\left(15 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{3}{2}} d \mathrm{sgn}\left(x\right) + 10 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{5}{2}} d \mathrm{sgn}\left(x\right) + 20 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{3}{2}} d^{2} \mathrm{sgn}\left(x\right) + 10 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{5}{2}} d^{2} \mathrm{sgn}\left(x\right) - 10 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{3}{2}} d^{3} \mathrm{sgn}\left(x\right) - 2 \, b c^{\frac{5}{2}} d^{3} \mathrm{sgn}\left(x\right) + 5 \, a c^{\frac{3}{2}} d^{4} \mathrm{sgn}\left(x\right)\right)}}{15 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{5}}"," ",0,"2/15*(15*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(3/2)*sgn(x) + 30*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(5/2)*sgn(x) - 30*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(3/2)*d*sgn(x) + 10*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(5/2)*d*sgn(x) + 20*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(3/2)*d^2*sgn(x) + 10*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(5/2)*d^2*sgn(x) - 10*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(3/2)*d^3*sgn(x) - 2*b*c^(5/2)*d^3*sgn(x) + 5*a*c^(3/2)*d^4*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^5","B",0
934,1,310,0,1.382030," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^5,x, algorithm=""giac"")","\frac{4 \, {\left(105 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} a c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 280 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 175 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{5}{2}} d \mathrm{sgn}\left(x\right) + 140 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{7}{2}} d \mathrm{sgn}\left(x\right) + 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{5}{2}} d^{2} \mathrm{sgn}\left(x\right) + 84 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{7}{2}} d^{2} \mathrm{sgn}\left(x\right) - 42 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{5}{2}} d^{3} \mathrm{sgn}\left(x\right) - 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{7}{2}} d^{3} \mathrm{sgn}\left(x\right) + 49 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{5}{2}} d^{4} \mathrm{sgn}\left(x\right) + 4 \, b c^{\frac{7}{2}} d^{4} \mathrm{sgn}\left(x\right) - 7 \, a c^{\frac{5}{2}} d^{5} \mathrm{sgn}\left(x\right)\right)}}{105 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{7}}"," ",0,"4/105*(105*(sqrt(c)*x - sqrt(c*x^2 + d))^10*a*c^(5/2)*sgn(x) + 280*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(7/2)*sgn(x) - 175*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(5/2)*d*sgn(x) + 140*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(7/2)*d*sgn(x) + 70*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(5/2)*d^2*sgn(x) + 84*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(7/2)*d^2*sgn(x) - 42*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(5/2)*d^3*sgn(x) - 28*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(7/2)*d^3*sgn(x) + 49*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(5/2)*d^4*sgn(x) + 4*b*c^(7/2)*d^4*sgn(x) - 7*a*c^(5/2)*d^5*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^7","B",0
935,1,370,0,2.061199," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^7,x, algorithm=""giac"")","\frac{16 \, {\left(210 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} a c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 630 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} b c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} a c^{\frac{7}{2}} d \mathrm{sgn}\left(x\right) + 378 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{9}{2}} d \mathrm{sgn}\left(x\right) + 63 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{7}{2}} d^{2} \mathrm{sgn}\left(x\right) + 168 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{9}{2}} d^{2} \mathrm{sgn}\left(x\right) - 42 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{7}{2}} d^{3} \mathrm{sgn}\left(x\right) - 72 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{9}{2}} d^{3} \mathrm{sgn}\left(x\right) + 108 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{7}{2}} d^{4} \mathrm{sgn}\left(x\right) + 18 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{9}{2}} d^{4} \mathrm{sgn}\left(x\right) - 27 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{7}{2}} d^{5} \mathrm{sgn}\left(x\right) - 2 \, b c^{\frac{9}{2}} d^{5} \mathrm{sgn}\left(x\right) + 3 \, a c^{\frac{7}{2}} d^{6} \mathrm{sgn}\left(x\right)\right)}}{315 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{9}}"," ",0,"16/315*(210*(sqrt(c)*x - sqrt(c*x^2 + d))^12*a*c^(7/2)*sgn(x) + 630*(sqrt(c)*x - sqrt(c*x^2 + d))^10*b*c^(9/2)*sgn(x) - 315*(sqrt(c)*x - sqrt(c*x^2 + d))^10*a*c^(7/2)*d*sgn(x) + 378*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(9/2)*d*sgn(x) + 63*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(7/2)*d^2*sgn(x) + 168*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(9/2)*d^2*sgn(x) - 42*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(7/2)*d^3*sgn(x) - 72*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(9/2)*d^3*sgn(x) + 108*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(7/2)*d^4*sgn(x) + 18*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(9/2)*d^4*sgn(x) - 27*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(7/2)*d^5*sgn(x) - 2*b*c^(9/2)*d^5*sgn(x) + 3*a*c^(7/2)*d^6*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^9","B",0
936,1,430,0,2.981695," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^9,x, algorithm=""giac"")","\frac{32 \, {\left(3465 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{14} a c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 11088 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} b c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 4851 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} a c^{\frac{9}{2}} d \mathrm{sgn}\left(x\right) + 7392 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} b c^{\frac{11}{2}} d \mathrm{sgn}\left(x\right) + 231 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} a c^{\frac{9}{2}} d^{2} \mathrm{sgn}\left(x\right) + 2640 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{11}{2}} d^{2} \mathrm{sgn}\left(x\right) - 165 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{9}{2}} d^{3} \mathrm{sgn}\left(x\right) - 1320 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{11}{2}} d^{3} \mathrm{sgn}\left(x\right) + 1815 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{9}{2}} d^{4} \mathrm{sgn}\left(x\right) + 440 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{11}{2}} d^{4} \mathrm{sgn}\left(x\right) - 605 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{9}{2}} d^{5} \mathrm{sgn}\left(x\right) - 88 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{11}{2}} d^{5} \mathrm{sgn}\left(x\right) + 121 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{9}{2}} d^{6} \mathrm{sgn}\left(x\right) + 8 \, b c^{\frac{11}{2}} d^{6} \mathrm{sgn}\left(x\right) - 11 \, a c^{\frac{9}{2}} d^{7} \mathrm{sgn}\left(x\right)\right)}}{3465 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{11}}"," ",0,"32/3465*(3465*(sqrt(c)*x - sqrt(c*x^2 + d))^14*a*c^(9/2)*sgn(x) + 11088*(sqrt(c)*x - sqrt(c*x^2 + d))^12*b*c^(11/2)*sgn(x) - 4851*(sqrt(c)*x - sqrt(c*x^2 + d))^12*a*c^(9/2)*d*sgn(x) + 7392*(sqrt(c)*x - sqrt(c*x^2 + d))^10*b*c^(11/2)*d*sgn(x) + 231*(sqrt(c)*x - sqrt(c*x^2 + d))^10*a*c^(9/2)*d^2*sgn(x) + 2640*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(11/2)*d^2*sgn(x) - 165*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(9/2)*d^3*sgn(x) - 1320*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(11/2)*d^3*sgn(x) + 1815*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(9/2)*d^4*sgn(x) + 440*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(11/2)*d^4*sgn(x) - 605*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(9/2)*d^5*sgn(x) - 88*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(11/2)*d^5*sgn(x) + 121*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(9/2)*d^6*sgn(x) + 8*b*c^(11/2)*d^6*sgn(x) - 11*a*c^(9/2)*d^7*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^11","B",0
937,1,175,0,0.220160," ","integrate((a+b/x^2)*x^10*(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{16 \, {\left(11 \, b c d^{\frac{9}{2}} - 8 \, a d^{\frac{11}{2}}\right)} \mathrm{sgn}\left(x\right)}{3465 \, c^{5}} + \frac{315 \, {\left(c x^{2} + d\right)}^{\frac{11}{2}} a \mathrm{sgn}\left(x\right) + 385 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} b c \mathrm{sgn}\left(x\right) - 1540 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} a d \mathrm{sgn}\left(x\right) - 1485 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} b c d \mathrm{sgn}\left(x\right) + 2970 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a d^{2} \mathrm{sgn}\left(x\right) + 2079 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c d^{2} \mathrm{sgn}\left(x\right) - 2772 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a d^{3} \mathrm{sgn}\left(x\right) - 1155 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c d^{3} \mathrm{sgn}\left(x\right) + 1155 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a d^{4} \mathrm{sgn}\left(x\right)}{3465 \, c^{5}}"," ",0,"16/3465*(11*b*c*d^(9/2) - 8*a*d^(11/2))*sgn(x)/c^5 + 1/3465*(315*(c*x^2 + d)^(11/2)*a*sgn(x) + 385*(c*x^2 + d)^(9/2)*b*c*sgn(x) - 1540*(c*x^2 + d)^(9/2)*a*d*sgn(x) - 1485*(c*x^2 + d)^(7/2)*b*c*d*sgn(x) + 2970*(c*x^2 + d)^(7/2)*a*d^2*sgn(x) + 2079*(c*x^2 + d)^(5/2)*b*c*d^2*sgn(x) - 2772*(c*x^2 + d)^(5/2)*a*d^3*sgn(x) - 1155*(c*x^2 + d)^(3/2)*b*c*d^3*sgn(x) + 1155*(c*x^2 + d)^(3/2)*a*d^4*sgn(x))/c^5","A",0
938,1,140,0,0.168069," ","integrate((a+b/x^2)*x^8*(c+d/x^2)^(1/2),x, algorithm=""giac"")","-\frac{8 \, {\left(3 \, b c d^{\frac{7}{2}} - 2 \, a d^{\frac{9}{2}}\right)} \mathrm{sgn}\left(x\right)}{315 \, c^{4}} + \frac{35 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} a \mathrm{sgn}\left(x\right) + 45 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} b c \mathrm{sgn}\left(x\right) - 135 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a d \mathrm{sgn}\left(x\right) - 126 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c d \mathrm{sgn}\left(x\right) + 189 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a d^{2} \mathrm{sgn}\left(x\right) + 105 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c d^{2} \mathrm{sgn}\left(x\right) - 105 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a d^{3} \mathrm{sgn}\left(x\right)}{315 \, c^{4}}"," ",0,"-8/315*(3*b*c*d^(7/2) - 2*a*d^(9/2))*sgn(x)/c^4 + 1/315*(35*(c*x^2 + d)^(9/2)*a*sgn(x) + 45*(c*x^2 + d)^(7/2)*b*c*sgn(x) - 135*(c*x^2 + d)^(7/2)*a*d*sgn(x) - 126*(c*x^2 + d)^(5/2)*b*c*d*sgn(x) + 189*(c*x^2 + d)^(5/2)*a*d^2*sgn(x) + 105*(c*x^2 + d)^(3/2)*b*c*d^2*sgn(x) - 105*(c*x^2 + d)^(3/2)*a*d^3*sgn(x))/c^4","A",0
939,1,105,0,0.165703," ","integrate((a+b/x^2)*x^6*(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(7 \, b c d^{\frac{5}{2}} - 4 \, a d^{\frac{7}{2}}\right)} \mathrm{sgn}\left(x\right)}{105 \, c^{3}} + \frac{15 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a \mathrm{sgn}\left(x\right) + 21 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c \mathrm{sgn}\left(x\right) - 42 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a d \mathrm{sgn}\left(x\right) - 35 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c d \mathrm{sgn}\left(x\right) + 35 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a d^{2} \mathrm{sgn}\left(x\right)}{105 \, c^{3}}"," ",0,"2/105*(7*b*c*d^(5/2) - 4*a*d^(7/2))*sgn(x)/c^3 + 1/105*(15*(c*x^2 + d)^(7/2)*a*sgn(x) + 21*(c*x^2 + d)^(5/2)*b*c*sgn(x) - 42*(c*x^2 + d)^(5/2)*a*d*sgn(x) - 35*(c*x^2 + d)^(3/2)*b*c*d*sgn(x) + 35*(c*x^2 + d)^(3/2)*a*d^2*sgn(x))/c^3","A",0
940,1,72,0,0.212620," ","integrate((a+b/x^2)*x^4*(c+d/x^2)^(1/2),x, algorithm=""giac"")","-\frac{{\left(5 \, b c d^{\frac{3}{2}} - 2 \, a d^{\frac{5}{2}}\right)} \mathrm{sgn}\left(x\right)}{15 \, c^{2}} + \frac{3 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a \mathrm{sgn}\left(x\right) + 5 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c \mathrm{sgn}\left(x\right) - 5 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a d \mathrm{sgn}\left(x\right)}{15 \, c^{2}}"," ",0,"-1/15*(5*b*c*d^(3/2) - 2*a*d^(5/2))*sgn(x)/c^2 + 1/15*(3*(c*x^2 + d)^(5/2)*a*sgn(x) + 5*(c*x^2 + d)^(3/2)*b*c*sgn(x) - 5*(c*x^2 + d)^(3/2)*a*d*sgn(x))/c^2","A",0
941,1,116,0,0.189912," ","integrate((a+b/x^2)*x^2*(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{b d \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-d}} - \frac{{\left(3 \, b c d \arctan\left(\frac{\sqrt{d}}{\sqrt{-d}}\right) + 3 \, b c \sqrt{-d} \sqrt{d} + a \sqrt{-d} d^{\frac{3}{2}}\right)} \mathrm{sgn}\left(x\right)}{3 \, c \sqrt{-d}} + \frac{{\left(c x^{2} + d\right)}^{\frac{3}{2}} a c^{2} \mathrm{sgn}\left(x\right) + 3 \, \sqrt{c x^{2} + d} b c^{3} \mathrm{sgn}\left(x\right)}{3 \, c^{3}}"," ",0,"b*d*arctan(sqrt(c*x^2 + d)/sqrt(-d))*sgn(x)/sqrt(-d) - 1/3*(3*b*c*d*arctan(sqrt(d)/sqrt(-d)) + 3*b*c*sqrt(-d)*sqrt(d) + a*sqrt(-d)*d^(3/2))*sgn(x)/(c*sqrt(-d)) + 1/3*((c*x^2 + d)^(3/2)*a*c^2*sgn(x) + 3*sqrt(c*x^2 + d)*b*c^3*sgn(x))/c^3","B",0
942,1,76,0,0.249341," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{c x^{2} + d} a c \mathrm{sgn}\left(x\right) + \frac{{\left(b c^{2} \mathrm{sgn}\left(x\right) + 2 \, a c d \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right)}{\sqrt{-d}} - \frac{\sqrt{c x^{2} + d} b c \mathrm{sgn}\left(x\right)}{x^{2}}}{2 \, c}"," ",0,"1/2*(2*sqrt(c*x^2 + d)*a*c*sgn(x) + (b*c^2*sgn(x) + 2*a*c*d*sgn(x))*arctan(sqrt(c*x^2 + d)/sqrt(-d))/sqrt(-d) - sqrt(c*x^2 + d)*b*c*sgn(x)/x^2)/c","A",0
943,1,130,0,0.240067," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{\frac{{\left(b c^{3} \mathrm{sgn}\left(x\right) - 4 \, a c^{2} d \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right)}{\sqrt{-d} d} + \frac{{\left(c x^{2} + d\right)}^{\frac{3}{2}} b c^{3} \mathrm{sgn}\left(x\right) + 4 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a c^{2} d \mathrm{sgn}\left(x\right) + \sqrt{c x^{2} + d} b c^{3} d \mathrm{sgn}\left(x\right) - 4 \, \sqrt{c x^{2} + d} a c^{2} d^{2} \mathrm{sgn}\left(x\right)}{c^{2} d x^{4}}}{8 \, c}"," ",0,"-1/8*((b*c^3*sgn(x) - 4*a*c^2*d*sgn(x))*arctan(sqrt(c*x^2 + d)/sqrt(-d))/(sqrt(-d)*d) + ((c*x^2 + d)^(3/2)*b*c^3*sgn(x) + 4*(c*x^2 + d)^(3/2)*a*c^2*d*sgn(x) + sqrt(c*x^2 + d)*b*c^3*d*sgn(x) - 4*sqrt(c*x^2 + d)*a*c^2*d^2*sgn(x))/(c^2*d*x^4))/c","A",0
944,1,153,0,0.300969," ","integrate((a+b/x^2)*(c+d/x^2)^(1/2)/x^4,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(b c^{4} \mathrm{sgn}\left(x\right) - 2 \, a c^{3} d \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right)}{\sqrt{-d} d^{2}} + \frac{3 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c^{4} \mathrm{sgn}\left(x\right) - 6 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a c^{3} d \mathrm{sgn}\left(x\right) - 8 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c^{4} d \mathrm{sgn}\left(x\right) - 3 \, \sqrt{c x^{2} + d} b c^{4} d^{2} \mathrm{sgn}\left(x\right) + 6 \, \sqrt{c x^{2} + d} a c^{3} d^{3} \mathrm{sgn}\left(x\right)}{c^{3} d^{2} x^{6}}}{48 \, c}"," ",0,"1/48*(3*(b*c^4*sgn(x) - 2*a*c^3*d*sgn(x))*arctan(sqrt(c*x^2 + d)/sqrt(-d))/(sqrt(-d)*d^2) + (3*(c*x^2 + d)^(5/2)*b*c^4*sgn(x) - 6*(c*x^2 + d)^(5/2)*a*c^3*d*sgn(x) - 8*(c*x^2 + d)^(3/2)*b*c^4*d*sgn(x) - 3*sqrt(c*x^2 + d)*b*c^4*d^2*sgn(x) + 6*sqrt(c*x^2 + d)*a*c^3*d^3*sgn(x))/(c^3*d^2*x^6))/c","A",0
945,1,144,0,0.232612," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^5,x, algorithm=""giac"")","\frac{1}{48} \, {\left(2 \, {\left(4 \, a c x^{2} \mathrm{sgn}\left(x\right) + \frac{6 \, b c^{5} \mathrm{sgn}\left(x\right) + 7 \, a c^{4} d \mathrm{sgn}\left(x\right)}{c^{4}}\right)} x^{2} + \frac{3 \, {\left(10 \, b c^{4} d \mathrm{sgn}\left(x\right) + a c^{3} d^{2} \mathrm{sgn}\left(x\right)\right)}}{c^{4}}\right)} \sqrt{c x^{2} + d} x - \frac{{\left(6 \, b c d^{2} \mathrm{sgn}\left(x\right) - a d^{3} \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + d} \right|}\right)}{16 \, c^{\frac{3}{2}}} + \frac{{\left(6 \, b c d^{2} \log\left({\left| d \right|}\right) - a d^{3} \log\left({\left| d \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{32 \, c^{\frac{3}{2}}}"," ",0,"1/48*(2*(4*a*c*x^2*sgn(x) + (6*b*c^5*sgn(x) + 7*a*c^4*d*sgn(x))/c^4)*x^2 + 3*(10*b*c^4*d*sgn(x) + a*c^3*d^2*sgn(x))/c^4)*sqrt(c*x^2 + d)*x - 1/16*(6*b*c*d^2*sgn(x) - a*d^3*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + d)))/c^(3/2) + 1/32*(6*b*c*d^2*log(abs(d)) - a*d^3*log(abs(d)))*sgn(x)/c^(3/2)","A",0
946,1,126,0,0.292818," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^3,x, algorithm=""giac"")","\frac{2 \, b \sqrt{c} d^{2} \mathrm{sgn}\left(x\right)}{{\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d} + \frac{1}{8} \, {\left(2 \, a c x^{2} \mathrm{sgn}\left(x\right) + \frac{4 \, b c^{3} \mathrm{sgn}\left(x\right) + 5 \, a c^{2} d \mathrm{sgn}\left(x\right)}{c^{2}}\right)} \sqrt{c x^{2} + d} x - \frac{3 \, {\left(4 \, b c^{\frac{3}{2}} d \mathrm{sgn}\left(x\right) + a \sqrt{c} d^{2} \mathrm{sgn}\left(x\right)\right)} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2}\right)}{16 \, c}"," ",0,"2*b*sqrt(c)*d^2*sgn(x)/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d) + 1/8*(2*a*c*x^2*sgn(x) + (4*b*c^3*sgn(x) + 5*a*c^2*d*sgn(x))/c^2)*sqrt(c*x^2 + d)*x - 3/16*(4*b*c^(3/2)*d*sgn(x) + a*sqrt(c)*d^2*sgn(x))*log((sqrt(c)*x - sqrt(c*x^2 + d))^2)/c","A",0
947,1,225,0,0.541344," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c x^{2} + d} a c x \mathrm{sgn}\left(x\right) - \frac{1}{4} \, {\left(2 \, b c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 3 \, a \sqrt{c} d \mathrm{sgn}\left(x\right)\right)} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2}\right) + \frac{2 \, {\left(6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{3}{2}} d \mathrm{sgn}\left(x\right) + 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a \sqrt{c} d^{2} \mathrm{sgn}\left(x\right) - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{3}{2}} d^{2} \mathrm{sgn}\left(x\right) - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a \sqrt{c} d^{3} \mathrm{sgn}\left(x\right) + 4 \, b c^{\frac{3}{2}} d^{3} \mathrm{sgn}\left(x\right) + 3 \, a \sqrt{c} d^{4} \mathrm{sgn}\left(x\right)\right)}}{3 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{3}}"," ",0,"1/2*sqrt(c*x^2 + d)*a*c*x*sgn(x) - 1/4*(2*b*c^(3/2)*sgn(x) + 3*a*sqrt(c)*d*sgn(x))*log((sqrt(c)*x - sqrt(c*x^2 + d))^2) + 2/3*(6*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(3/2)*d*sgn(x) + 3*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*sqrt(c)*d^2*sgn(x) - 6*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(3/2)*d^2*sgn(x) - 6*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*sqrt(c)*d^3*sgn(x) + 4*b*c^(3/2)*d^3*sgn(x) + 3*a*sqrt(c)*d^4*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^3","B",0
948,1,254,0,1.068115," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x,x, algorithm=""giac"")","-\frac{1}{2} \, a c^{\frac{3}{2}} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2}\right) \mathrm{sgn}\left(x\right) + \frac{2 \, {\left(15 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{3}{2}} d \mathrm{sgn}\left(x\right) - 90 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{3}{2}} d^{2} \mathrm{sgn}\left(x\right) + 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{5}{2}} d^{2} \mathrm{sgn}\left(x\right) + 110 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{3}{2}} d^{3} \mathrm{sgn}\left(x\right) - 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{3}{2}} d^{4} \mathrm{sgn}\left(x\right) + 3 \, b c^{\frac{5}{2}} d^{4} \mathrm{sgn}\left(x\right) + 20 \, a c^{\frac{3}{2}} d^{5} \mathrm{sgn}\left(x\right)\right)}}{15 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{5}}"," ",0,"-1/2*a*c^(3/2)*log((sqrt(c)*x - sqrt(c*x^2 + d))^2)*sgn(x) + 2/15*(15*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(5/2)*sgn(x) + 30*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(3/2)*d*sgn(x) - 90*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(3/2)*d^2*sgn(x) + 30*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(5/2)*d^2*sgn(x) + 110*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(3/2)*d^3*sgn(x) - 70*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(3/2)*d^4*sgn(x) + 3*b*c^(5/2)*d^4*sgn(x) + 20*a*c^(3/2)*d^5*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^5","B",0
949,1,370,0,1.866295," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^3,x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} a c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} b c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} a c^{\frac{5}{2}} d \mathrm{sgn}\left(x\right) + 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{7}{2}} d \mathrm{sgn}\left(x\right) + 105 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{5}{2}} d^{2} \mathrm{sgn}\left(x\right) + 140 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{7}{2}} d^{2} \mathrm{sgn}\left(x\right) - 140 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{5}{2}} d^{3} \mathrm{sgn}\left(x\right) + 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{7}{2}} d^{3} \mathrm{sgn}\left(x\right) + 77 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{5}{2}} d^{4} \mathrm{sgn}\left(x\right) + 14 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{7}{2}} d^{4} \mathrm{sgn}\left(x\right) - 14 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{5}{2}} d^{5} \mathrm{sgn}\left(x\right) - 2 \, b c^{\frac{7}{2}} d^{5} \mathrm{sgn}\left(x\right) + 7 \, a c^{\frac{5}{2}} d^{6} \mathrm{sgn}\left(x\right)\right)}}{35 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{7}}"," ",0,"2/35*(35*(sqrt(c)*x - sqrt(c*x^2 + d))^12*a*c^(5/2)*sgn(x) + 70*(sqrt(c)*x - sqrt(c*x^2 + d))^10*b*c^(7/2)*sgn(x) - 70*(sqrt(c)*x - sqrt(c*x^2 + d))^10*a*c^(5/2)*d*sgn(x) + 70*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(7/2)*d*sgn(x) + 105*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(5/2)*d^2*sgn(x) + 140*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(7/2)*d^2*sgn(x) - 140*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(5/2)*d^3*sgn(x) + 28*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(7/2)*d^3*sgn(x) + 77*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(5/2)*d^4*sgn(x) + 14*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(7/2)*d^4*sgn(x) - 14*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(5/2)*d^5*sgn(x) - 2*b*c^(7/2)*d^5*sgn(x) + 7*a*c^(5/2)*d^6*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^7","B",0
950,1,430,0,2.691054," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^5,x, algorithm=""giac"")","\frac{4 \, {\left(315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{14} a c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 840 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} b c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} a c^{\frac{7}{2}} d \mathrm{sgn}\left(x\right) + 1260 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} b c^{\frac{9}{2}} d \mathrm{sgn}\left(x\right) + 315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} a c^{\frac{7}{2}} d^{2} \mathrm{sgn}\left(x\right) + 1764 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{9}{2}} d^{2} \mathrm{sgn}\left(x\right) - 819 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{7}{2}} d^{3} \mathrm{sgn}\left(x\right) + 504 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{9}{2}} d^{3} \mathrm{sgn}\left(x\right) + 441 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{7}{2}} d^{4} \mathrm{sgn}\left(x\right) + 144 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{9}{2}} d^{4} \mathrm{sgn}\left(x\right) - 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{7}{2}} d^{5} \mathrm{sgn}\left(x\right) - 36 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{9}{2}} d^{5} \mathrm{sgn}\left(x\right) + 81 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{7}{2}} d^{6} \mathrm{sgn}\left(x\right) + 4 \, b c^{\frac{9}{2}} d^{6} \mathrm{sgn}\left(x\right) - 9 \, a c^{\frac{7}{2}} d^{7} \mathrm{sgn}\left(x\right)\right)}}{315 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{9}}"," ",0,"4/315*(315*(sqrt(c)*x - sqrt(c*x^2 + d))^14*a*c^(7/2)*sgn(x) + 840*(sqrt(c)*x - sqrt(c*x^2 + d))^12*b*c^(9/2)*sgn(x) - 315*(sqrt(c)*x - sqrt(c*x^2 + d))^12*a*c^(7/2)*d*sgn(x) + 1260*(sqrt(c)*x - sqrt(c*x^2 + d))^10*b*c^(9/2)*d*sgn(x) + 315*(sqrt(c)*x - sqrt(c*x^2 + d))^10*a*c^(7/2)*d^2*sgn(x) + 1764*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(9/2)*d^2*sgn(x) - 819*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(7/2)*d^3*sgn(x) + 504*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(9/2)*d^3*sgn(x) + 441*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(7/2)*d^4*sgn(x) + 144*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(9/2)*d^4*sgn(x) - 9*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(7/2)*d^5*sgn(x) - 36*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(9/2)*d^5*sgn(x) + 81*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(7/2)*d^6*sgn(x) + 4*b*c^(9/2)*d^6*sgn(x) - 9*a*c^(7/2)*d^7*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^9","B",0
951,1,490,0,3.284610," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^7,x, algorithm=""giac"")","\frac{16 \, {\left(2310 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{16} a c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 6930 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{14} b c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 1155 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{14} a c^{\frac{9}{2}} d \mathrm{sgn}\left(x\right) + 12474 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} b c^{\frac{11}{2}} d \mathrm{sgn}\left(x\right) + 231 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} a c^{\frac{9}{2}} d^{2} \mathrm{sgn}\left(x\right) + 15246 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} b c^{\frac{11}{2}} d^{2} \mathrm{sgn}\left(x\right) - 4851 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} a c^{\frac{9}{2}} d^{3} \mathrm{sgn}\left(x\right) + 4950 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{11}{2}} d^{3} \mathrm{sgn}\left(x\right) + 2475 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{9}{2}} d^{4} \mathrm{sgn}\left(x\right) + 990 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{11}{2}} d^{4} \mathrm{sgn}\left(x\right) + 495 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{9}{2}} d^{5} \mathrm{sgn}\left(x\right) - 330 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{11}{2}} d^{5} \mathrm{sgn}\left(x\right) + 605 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{9}{2}} d^{6} \mathrm{sgn}\left(x\right) + 66 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{11}{2}} d^{6} \mathrm{sgn}\left(x\right) - 121 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{9}{2}} d^{7} \mathrm{sgn}\left(x\right) - 6 \, b c^{\frac{11}{2}} d^{7} \mathrm{sgn}\left(x\right) + 11 \, a c^{\frac{9}{2}} d^{8} \mathrm{sgn}\left(x\right)\right)}}{3465 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{11}}"," ",0,"16/3465*(2310*(sqrt(c)*x - sqrt(c*x^2 + d))^16*a*c^(9/2)*sgn(x) + 6930*(sqrt(c)*x - sqrt(c*x^2 + d))^14*b*c^(11/2)*sgn(x) - 1155*(sqrt(c)*x - sqrt(c*x^2 + d))^14*a*c^(9/2)*d*sgn(x) + 12474*(sqrt(c)*x - sqrt(c*x^2 + d))^12*b*c^(11/2)*d*sgn(x) + 231*(sqrt(c)*x - sqrt(c*x^2 + d))^12*a*c^(9/2)*d^2*sgn(x) + 15246*(sqrt(c)*x - sqrt(c*x^2 + d))^10*b*c^(11/2)*d^2*sgn(x) - 4851*(sqrt(c)*x - sqrt(c*x^2 + d))^10*a*c^(9/2)*d^3*sgn(x) + 4950*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(11/2)*d^3*sgn(x) + 2475*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(9/2)*d^4*sgn(x) + 990*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(11/2)*d^4*sgn(x) + 495*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(9/2)*d^5*sgn(x) - 330*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(11/2)*d^5*sgn(x) + 605*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(9/2)*d^6*sgn(x) + 66*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(11/2)*d^6*sgn(x) - 121*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(9/2)*d^7*sgn(x) - 6*b*c^(11/2)*d^7*sgn(x) + 11*a*c^(9/2)*d^8*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^11","B",0
952,1,550,0,4.629511," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^9,x, algorithm=""giac"")","\frac{32 \, {\left(15015 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{18} a c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 48048 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{16} b c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 3003 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{16} a c^{\frac{11}{2}} d \mathrm{sgn}\left(x\right) + 96096 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{14} b c^{\frac{13}{2}} d \mathrm{sgn}\left(x\right) - 6006 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{14} a c^{\frac{11}{2}} d^{2} \mathrm{sgn}\left(x\right) + 109824 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} b c^{\frac{13}{2}} d^{2} \mathrm{sgn}\left(x\right) - 28314 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{12} a c^{\frac{11}{2}} d^{3} \mathrm{sgn}\left(x\right) + 37752 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} b c^{\frac{13}{2}} d^{3} \mathrm{sgn}\left(x\right) + 13728 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{10} a c^{\frac{11}{2}} d^{4} \mathrm{sgn}\left(x\right) + 5720 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} b c^{\frac{13}{2}} d^{4} \mathrm{sgn}\left(x\right) + 5720 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{8} a c^{\frac{11}{2}} d^{5} \mathrm{sgn}\left(x\right) - 2288 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} b c^{\frac{13}{2}} d^{5} \mathrm{sgn}\left(x\right) + 3718 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{6} a c^{\frac{11}{2}} d^{6} \mathrm{sgn}\left(x\right) + 624 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} b c^{\frac{13}{2}} d^{6} \mathrm{sgn}\left(x\right) - 1014 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{4} a c^{\frac{11}{2}} d^{7} \mathrm{sgn}\left(x\right) - 104 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} b c^{\frac{13}{2}} d^{7} \mathrm{sgn}\left(x\right) + 169 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} a c^{\frac{11}{2}} d^{8} \mathrm{sgn}\left(x\right) + 8 \, b c^{\frac{13}{2}} d^{8} \mathrm{sgn}\left(x\right) - 13 \, a c^{\frac{11}{2}} d^{9} \mathrm{sgn}\left(x\right)\right)}}{15015 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + d}\right)}^{2} - d\right)}^{13}}"," ",0,"32/15015*(15015*(sqrt(c)*x - sqrt(c*x^2 + d))^18*a*c^(11/2)*sgn(x) + 48048*(sqrt(c)*x - sqrt(c*x^2 + d))^16*b*c^(13/2)*sgn(x) - 3003*(sqrt(c)*x - sqrt(c*x^2 + d))^16*a*c^(11/2)*d*sgn(x) + 96096*(sqrt(c)*x - sqrt(c*x^2 + d))^14*b*c^(13/2)*d*sgn(x) - 6006*(sqrt(c)*x - sqrt(c*x^2 + d))^14*a*c^(11/2)*d^2*sgn(x) + 109824*(sqrt(c)*x - sqrt(c*x^2 + d))^12*b*c^(13/2)*d^2*sgn(x) - 28314*(sqrt(c)*x - sqrt(c*x^2 + d))^12*a*c^(11/2)*d^3*sgn(x) + 37752*(sqrt(c)*x - sqrt(c*x^2 + d))^10*b*c^(13/2)*d^3*sgn(x) + 13728*(sqrt(c)*x - sqrt(c*x^2 + d))^10*a*c^(11/2)*d^4*sgn(x) + 5720*(sqrt(c)*x - sqrt(c*x^2 + d))^8*b*c^(13/2)*d^4*sgn(x) + 5720*(sqrt(c)*x - sqrt(c*x^2 + d))^8*a*c^(11/2)*d^5*sgn(x) - 2288*(sqrt(c)*x - sqrt(c*x^2 + d))^6*b*c^(13/2)*d^5*sgn(x) + 3718*(sqrt(c)*x - sqrt(c*x^2 + d))^6*a*c^(11/2)*d^6*sgn(x) + 624*(sqrt(c)*x - sqrt(c*x^2 + d))^4*b*c^(13/2)*d^6*sgn(x) - 1014*(sqrt(c)*x - sqrt(c*x^2 + d))^4*a*c^(11/2)*d^7*sgn(x) - 104*(sqrt(c)*x - sqrt(c*x^2 + d))^2*b*c^(13/2)*d^7*sgn(x) + 169*(sqrt(c)*x - sqrt(c*x^2 + d))^2*a*c^(11/2)*d^8*sgn(x) + 8*b*c^(13/2)*d^8*sgn(x) - 13*a*c^(11/2)*d^9*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + d))^2 - d)^13","B",0
953,1,175,0,0.183038," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^12,x, algorithm=""giac"")","\frac{16 \, {\left(13 \, b c d^{\frac{11}{2}} - 8 \, a d^{\frac{13}{2}}\right)} \mathrm{sgn}\left(x\right)}{15015 \, c^{5}} + \frac{1155 \, {\left(c x^{2} + d\right)}^{\frac{13}{2}} a \mathrm{sgn}\left(x\right) + 1365 \, {\left(c x^{2} + d\right)}^{\frac{11}{2}} b c \mathrm{sgn}\left(x\right) - 5460 \, {\left(c x^{2} + d\right)}^{\frac{11}{2}} a d \mathrm{sgn}\left(x\right) - 5005 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} b c d \mathrm{sgn}\left(x\right) + 10010 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} a d^{2} \mathrm{sgn}\left(x\right) + 6435 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} b c d^{2} \mathrm{sgn}\left(x\right) - 8580 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a d^{3} \mathrm{sgn}\left(x\right) - 3003 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c d^{3} \mathrm{sgn}\left(x\right) + 3003 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a d^{4} \mathrm{sgn}\left(x\right)}{15015 \, c^{5}}"," ",0,"16/15015*(13*b*c*d^(11/2) - 8*a*d^(13/2))*sgn(x)/c^5 + 1/15015*(1155*(c*x^2 + d)^(13/2)*a*sgn(x) + 1365*(c*x^2 + d)^(11/2)*b*c*sgn(x) - 5460*(c*x^2 + d)^(11/2)*a*d*sgn(x) - 5005*(c*x^2 + d)^(9/2)*b*c*d*sgn(x) + 10010*(c*x^2 + d)^(9/2)*a*d^2*sgn(x) + 6435*(c*x^2 + d)^(7/2)*b*c*d^2*sgn(x) - 8580*(c*x^2 + d)^(7/2)*a*d^3*sgn(x) - 3003*(c*x^2 + d)^(5/2)*b*c*d^3*sgn(x) + 3003*(c*x^2 + d)^(5/2)*a*d^4*sgn(x))/c^5","A",0
954,1,140,0,0.179316," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^10,x, algorithm=""giac"")","-\frac{8 \, {\left(11 \, b c d^{\frac{9}{2}} - 6 \, a d^{\frac{11}{2}}\right)} \mathrm{sgn}\left(x\right)}{3465 \, c^{4}} + \frac{315 \, {\left(c x^{2} + d\right)}^{\frac{11}{2}} a \mathrm{sgn}\left(x\right) + 385 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} b c \mathrm{sgn}\left(x\right) - 1155 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} a d \mathrm{sgn}\left(x\right) - 990 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} b c d \mathrm{sgn}\left(x\right) + 1485 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a d^{2} \mathrm{sgn}\left(x\right) + 693 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c d^{2} \mathrm{sgn}\left(x\right) - 693 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a d^{3} \mathrm{sgn}\left(x\right)}{3465 \, c^{4}}"," ",0,"-8/3465*(11*b*c*d^(9/2) - 6*a*d^(11/2))*sgn(x)/c^4 + 1/3465*(315*(c*x^2 + d)^(11/2)*a*sgn(x) + 385*(c*x^2 + d)^(9/2)*b*c*sgn(x) - 1155*(c*x^2 + d)^(9/2)*a*d*sgn(x) - 990*(c*x^2 + d)^(7/2)*b*c*d*sgn(x) + 1485*(c*x^2 + d)^(7/2)*a*d^2*sgn(x) + 693*(c*x^2 + d)^(5/2)*b*c*d^2*sgn(x) - 693*(c*x^2 + d)^(5/2)*a*d^3*sgn(x))/c^4","A",0
955,1,105,0,0.171376," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^8,x, algorithm=""giac"")","\frac{2 \, {\left(9 \, b c d^{\frac{7}{2}} - 4 \, a d^{\frac{9}{2}}\right)} \mathrm{sgn}\left(x\right)}{315 \, c^{3}} + \frac{35 \, {\left(c x^{2} + d\right)}^{\frac{9}{2}} a \mathrm{sgn}\left(x\right) + 45 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} b c \mathrm{sgn}\left(x\right) - 90 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a d \mathrm{sgn}\left(x\right) - 63 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c d \mathrm{sgn}\left(x\right) + 63 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a d^{2} \mathrm{sgn}\left(x\right)}{315 \, c^{3}}"," ",0,"2/315*(9*b*c*d^(7/2) - 4*a*d^(9/2))*sgn(x)/c^3 + 1/315*(35*(c*x^2 + d)^(9/2)*a*sgn(x) + 45*(c*x^2 + d)^(7/2)*b*c*sgn(x) - 90*(c*x^2 + d)^(7/2)*a*d*sgn(x) - 63*(c*x^2 + d)^(5/2)*b*c*d*sgn(x) + 63*(c*x^2 + d)^(5/2)*a*d^2*sgn(x))/c^3","A",0
956,1,72,0,0.182840," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^6,x, algorithm=""giac"")","-\frac{{\left(7 \, b c d^{\frac{5}{2}} - 2 \, a d^{\frac{7}{2}}\right)} \mathrm{sgn}\left(x\right)}{35 \, c^{2}} + \frac{5 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a \mathrm{sgn}\left(x\right) + 7 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c \mathrm{sgn}\left(x\right) - 7 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a d \mathrm{sgn}\left(x\right)}{35 \, c^{2}}"," ",0,"-1/35*(7*b*c*d^(5/2) - 2*a*d^(7/2))*sgn(x)/c^2 + 1/35*(5*(c*x^2 + d)^(7/2)*a*sgn(x) + 7*(c*x^2 + d)^(5/2)*b*c*sgn(x) - 7*(c*x^2 + d)^(5/2)*a*d*sgn(x))/c^2","A",0
957,1,140,0,0.200285," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^4,x, algorithm=""giac"")","\frac{b d^{2} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-d}} - \frac{{\left(15 \, b c d^{2} \arctan\left(\frac{\sqrt{d}}{\sqrt{-d}}\right) + 20 \, b c \sqrt{-d} d^{\frac{3}{2}} + 3 \, a \sqrt{-d} d^{\frac{5}{2}}\right)} \mathrm{sgn}\left(x\right)}{15 \, c \sqrt{-d}} + \frac{3 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a c^{4} \mathrm{sgn}\left(x\right) + 5 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c^{5} \mathrm{sgn}\left(x\right) + 15 \, \sqrt{c x^{2} + d} b c^{5} d \mathrm{sgn}\left(x\right)}{15 \, c^{5}}"," ",0,"b*d^2*arctan(sqrt(c*x^2 + d)/sqrt(-d))*sgn(x)/sqrt(-d) - 1/15*(15*b*c*d^2*arctan(sqrt(d)/sqrt(-d)) + 20*b*c*sqrt(-d)*d^(3/2) + 3*a*sqrt(-d)*d^(5/2))*sgn(x)/(c*sqrt(-d)) + 1/15*(3*(c*x^2 + d)^(5/2)*a*c^4*sgn(x) + 5*(c*x^2 + d)^(3/2)*b*c^5*sgn(x) + 15*sqrt(c*x^2 + d)*b*c^5*d*sgn(x))/c^5","A",0
958,1,115,0,0.265116," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)*x^2,x, algorithm=""giac"")","\frac{2 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a c \mathrm{sgn}\left(x\right) + 6 \, \sqrt{c x^{2} + d} b c^{2} \mathrm{sgn}\left(x\right) + 6 \, \sqrt{c x^{2} + d} a c d \mathrm{sgn}\left(x\right) - \frac{3 \, \sqrt{c x^{2} + d} b c d \mathrm{sgn}\left(x\right)}{x^{2}} + \frac{3 \, {\left(3 \, b c^{2} d \mathrm{sgn}\left(x\right) + 2 \, a c d^{2} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right)}{\sqrt{-d}}}{6 \, c}"," ",0,"1/6*(2*(c*x^2 + d)^(3/2)*a*c*sgn(x) + 6*sqrt(c*x^2 + d)*b*c^2*sgn(x) + 6*sqrt(c*x^2 + d)*a*c*d*sgn(x) - 3*sqrt(c*x^2 + d)*b*c*d*sgn(x)/x^2 + 3*(3*b*c^2*d*sgn(x) + 2*a*c*d^2*sgn(x))*arctan(sqrt(c*x^2 + d)/sqrt(-d))/sqrt(-d))/c","A",0
959,1,145,0,0.257022," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2),x, algorithm=""giac"")","\frac{8 \, \sqrt{c x^{2} + d} a c^{2} \mathrm{sgn}\left(x\right) + \frac{3 \, {\left(b c^{3} \mathrm{sgn}\left(x\right) + 4 \, a c^{2} d \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right)}{\sqrt{-d}} - \frac{5 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c^{3} \mathrm{sgn}\left(x\right) + 4 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a c^{2} d \mathrm{sgn}\left(x\right) - 3 \, \sqrt{c x^{2} + d} b c^{3} d \mathrm{sgn}\left(x\right) - 4 \, \sqrt{c x^{2} + d} a c^{2} d^{2} \mathrm{sgn}\left(x\right)}{c^{2} x^{4}}}{8 \, c}"," ",0,"1/8*(8*sqrt(c*x^2 + d)*a*c^2*sgn(x) + 3*(b*c^3*sgn(x) + 4*a*c^2*d*sgn(x))*arctan(sqrt(c*x^2 + d)/sqrt(-d))/sqrt(-d) - (5*(c*x^2 + d)^(3/2)*b*c^3*sgn(x) + 4*(c*x^2 + d)^(3/2)*a*c^2*d*sgn(x) - 3*sqrt(c*x^2 + d)*b*c^3*d*sgn(x) - 4*sqrt(c*x^2 + d)*a*c^2*d^2*sgn(x))/(c^2*x^4))/c","A",0
960,1,173,0,0.298967," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^2,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(b c^{4} \mathrm{sgn}\left(x\right) - 6 \, a c^{3} d \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right)}{\sqrt{-d} d} + \frac{3 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c^{4} \mathrm{sgn}\left(x\right) + 30 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a c^{3} d \mathrm{sgn}\left(x\right) + 8 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c^{4} d \mathrm{sgn}\left(x\right) - 48 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a c^{3} d^{2} \mathrm{sgn}\left(x\right) - 3 \, \sqrt{c x^{2} + d} b c^{4} d^{2} \mathrm{sgn}\left(x\right) + 18 \, \sqrt{c x^{2} + d} a c^{3} d^{3} \mathrm{sgn}\left(x\right)}{c^{3} d x^{6}}}{48 \, c}"," ",0,"-1/48*(3*(b*c^4*sgn(x) - 6*a*c^3*d*sgn(x))*arctan(sqrt(c*x^2 + d)/sqrt(-d))/(sqrt(-d)*d) + (3*(c*x^2 + d)^(5/2)*b*c^4*sgn(x) + 30*(c*x^2 + d)^(5/2)*a*c^3*d*sgn(x) + 8*(c*x^2 + d)^(3/2)*b*c^4*d*sgn(x) - 48*(c*x^2 + d)^(3/2)*a*c^3*d^2*sgn(x) - 3*sqrt(c*x^2 + d)*b*c^4*d^2*sgn(x) + 18*sqrt(c*x^2 + d)*a*c^3*d^3*sgn(x))/(c^3*d*x^6))/c","A",0
961,1,214,0,0.374408," ","integrate((a+b/x^2)*(c+d/x^2)^(3/2)/x^4,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(3 \, b c^{5} \mathrm{sgn}\left(x\right) - 8 \, a c^{4} d \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + d}}{\sqrt{-d}}\right)}{\sqrt{-d} d^{2}} + \frac{9 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} b c^{5} \mathrm{sgn}\left(x\right) - 24 \, {\left(c x^{2} + d\right)}^{\frac{7}{2}} a c^{4} d \mathrm{sgn}\left(x\right) - 33 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} b c^{5} d \mathrm{sgn}\left(x\right) - 40 \, {\left(c x^{2} + d\right)}^{\frac{5}{2}} a c^{4} d^{2} \mathrm{sgn}\left(x\right) - 33 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} b c^{5} d^{2} \mathrm{sgn}\left(x\right) + 88 \, {\left(c x^{2} + d\right)}^{\frac{3}{2}} a c^{4} d^{3} \mathrm{sgn}\left(x\right) + 9 \, \sqrt{c x^{2} + d} b c^{5} d^{3} \mathrm{sgn}\left(x\right) - 24 \, \sqrt{c x^{2} + d} a c^{4} d^{4} \mathrm{sgn}\left(x\right)}{c^{4} d^{2} x^{8}}}{384 \, c}"," ",0,"1/384*(3*(3*b*c^5*sgn(x) - 8*a*c^4*d*sgn(x))*arctan(sqrt(c*x^2 + d)/sqrt(-d))/(sqrt(-d)*d^2) + (9*(c*x^2 + d)^(7/2)*b*c^5*sgn(x) - 24*(c*x^2 + d)^(7/2)*a*c^4*d*sgn(x) - 33*(c*x^2 + d)^(5/2)*b*c^5*d*sgn(x) - 40*(c*x^2 + d)^(5/2)*a*c^4*d^2*sgn(x) - 33*(c*x^2 + d)^(3/2)*b*c^5*d^2*sgn(x) + 88*(c*x^2 + d)^(3/2)*a*c^4*d^3*sgn(x) + 9*sqrt(c*x^2 + d)*b*c^5*d^3*sgn(x) - 24*sqrt(c*x^2 + d)*a*c^4*d^4*sgn(x))/(c^4*d^2*x^8))/c","A",0
962,1,113,0,0.256006," ","integrate((a+b/x^2)*x^3/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{c x^{4} + d x^{2}} {\left(\frac{2 \, a x^{2}}{c} + \frac{4 \, b c - 3 \, a d}{c^{2}}\right)} + \frac{{\left(4 \, b c d - 3 \, a d^{2}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)} \sqrt{c} - d \right|}\right)}{16 \, c^{\frac{5}{2}}} - \frac{4 \, b c d \log\left({\left| d \right|}\right) - 3 \, a d^{2} \log\left({\left| d \right|}\right)}{16 \, c^{\frac{5}{2}}}"," ",0,"1/8*sqrt(c*x^4 + d*x^2)*(2*a*x^2/c + (4*b*c - 3*a*d)/c^2) + 1/16*(4*b*c*d - 3*a*d^2)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))*sqrt(c) - d))/c^(5/2) - 1/16*(4*b*c*d*log(abs(d)) - 3*a*d^2*log(abs(d)))/c^(5/2)","A",0
963,1,88,0,0.258769," ","integrate((a+b/x^2)*x/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{c x^{4} + d x^{2}} a}{2 \, c} - \frac{{\left(2 \, b c - a d\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)} \sqrt{c} - d \right|}\right)}{4 \, c^{\frac{3}{2}}} + \frac{2 \, b c \log\left({\left| d \right|}\right) - a d \log\left({\left| d \right|}\right)}{4 \, c^{\frac{3}{2}}}"," ",0,"1/2*sqrt(c*x^4 + d*x^2)*a/c - 1/4*(2*b*c - a*d)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))*sqrt(c) - d))/c^(3/2) + 1/4*(2*b*c*log(abs(d)) - a*d*log(abs(d)))/c^(3/2)","A",0
964,-2,0,0,0.000000," ","integrate((a+b/x^2)/x/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, choosing root of [1,0,%%%{-2,[1,2,0]%%%}+%%%{-2,[1,0,0]%%%}+%%%{-2,[0,1,1]%%%},0,%%%{1,[2,4,0]%%%}+%%%{-2,[2,2,0]%%%}+%%%{1,[2,0,0]%%%}+%%%{2,[1,3,1]%%%}+%%%{-2,[1,1,1]%%%}+%%%{1,[0,2,2]%%%}] at parameters values [86,-97,-82]Warning, choosing root of [1,0,%%%{-2,[1,0,1]%%%}+%%%{-4,[0,1,0]%%%},0,%%%{1,[2,0,2]%%%}] at parameters values [-64,61.7937478349,70]Sign error (%%%{d,0%%%}+%%%{-2*sqrt(c)*sqrt(d),1/2%%%}+%%%{2*c,1%%%}+%%%{-c*sqrt(c)*sqrt(d)/d,3/2%%%}+%%%{c^2*sqrt(c)*sqrt(d)/(4*d^2),5/2%%%}+%%%{undef,7/2%%%})Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
965,1,88,0,0.409646," ","integrate((a+b/x^2)/x^3/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{3 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{2} a + 3 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)} b \sqrt{c} + b d}{3 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{3}}"," ",0,"1/3*(3*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^2*a + 3*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))*b*sqrt(c) + b*d)/(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^3","B",0
966,1,153,0,0.498163," ","integrate((a+b/x^2)/x^5/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{15 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{3} a \sqrt{c} + 20 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{2} b c + 5 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{2} a d + 15 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)} b \sqrt{c} d + 3 \, b d^{2}}{15 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{5}}"," ",0,"1/15*(15*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^3*a*sqrt(c) + 20*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^2*b*c + 5*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^2*a*d + 15*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))*b*sqrt(c)*d + 3*b*d^2)/(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^5","B",0
967,1,219,0,0.622815," ","integrate((a+b/x^2)/x^7/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\frac{140 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{4} a c + 210 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{3} b c^{\frac{3}{2}} + 105 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{3} a \sqrt{c} d + 252 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{2} b c d + 21 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{2} a d^{2} + 105 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)} b \sqrt{c} d^{2} + 15 \, b d^{3}}{105 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + d x^{2}}\right)}^{7}}"," ",0,"1/105*(140*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^4*a*c + 210*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^3*b*c^(3/2) + 105*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^3*a*sqrt(c)*d + 252*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^2*b*c*d + 21*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^2*a*d^2 + 105*(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))*b*sqrt(c)*d^2 + 15*b*d^3)/(sqrt(c)*x^2 - sqrt(c*x^4 + d*x^2))^7","B",0
968,-2,0,0,0.000000," ","integrate((a+b/x^2)*x^4/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
969,-2,0,0,0.000000," ","integrate((a+b/x^2)*x^2/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
970,-2,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
971,-2,0,0,0.000000," ","integrate((a+b/x^2)/x^2/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
972,-2,0,0,0.000000," ","integrate((a+b/x^2)/x^4/(c+d/x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
973,-2,0,0,0.000000," ","integrate((a+b/x^2)*x^3/(c+d/x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to divide, perhaps due to rounding error%%%{%%%{-2,[1]%%%},[2,1,2]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,3]%%%}+%%%{-2,[0,1,4]%%%} / %%%{%%%{1,[2]%%%},[2,0,0]%%%}+%%%{%%{[%%%{-2,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%%{1,[1]%%%},[0,0,2]%%%} Error: Bad Argument Value","F(-2)",0
974,-2,0,0,0.000000," ","integrate((a+b/x^2)*x/(c+d/x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to divide, perhaps due to rounding error%%%{%%%{-2,[1]%%%},[2,1,2]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,3]%%%}+%%%{-2,[0,1,4]%%%} / %%%{%%%{1,[2]%%%},[2,0,0]%%%}+%%%{%%{[%%%{-2,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%%{1,[1]%%%},[0,0,2]%%%} Error: Bad Argument Value","F(-2)",0
975,-2,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to divide, perhaps due to rounding error%%%{%%%{-2,[1]%%%},[2,1,2]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,3]%%%}+%%%{-2,[0,1,4]%%%} / %%%{%%%{1,[2]%%%},[2,0,0]%%%}+%%%{%%{[%%%{-2,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%%{1,[1]%%%},[0,0,2]%%%} Error: Bad Argument Value","F(-2)",0
976,1,37,0,0.264443," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^3,x, algorithm=""giac"")","-\frac{\frac{{\left(2 \, b c - a d\right)} x^{2}}{d^{2}} + \frac{b}{d}}{\sqrt{c x^{4} + d x^{2}}}"," ",0,"-((2*b*c - a*d)*x^2/d^2 + b/d)/sqrt(c*x^4 + d*x^2)","A",0
977,0,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^5,x, algorithm=""giac"")","\int \frac{a + \frac{b}{x^{2}}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{5}}\,{d x}"," ",0,"integrate((a + b/x^2)/((c + d/x^2)^(3/2)*x^5), x)","F",0
978,0,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^7,x, algorithm=""giac"")","\int \frac{a + \frac{b}{x^{2}}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{7}}\,{d x}"," ",0,"integrate((a + b/x^2)/((c + d/x^2)^(3/2)*x^7), x)","F",0
979,0,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^9,x, algorithm=""giac"")","\int \frac{a + \frac{b}{x^{2}}}{{\left(c + \frac{d}{x^{2}}\right)}^{\frac{3}{2}} x^{9}}\,{d x}"," ",0,"integrate((a + b/x^2)/((c + d/x^2)^(3/2)*x^9), x)","F",0
980,-2,0,0,0.000000," ","integrate((a+b/x^2)*x^4/(c+d/x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
981,-2,0,0,0.000000," ","integrate((a+b/x^2)*x^2/(c+d/x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
982,-2,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
983,-2,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
984,-2,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
985,-2,0,0,0.000000," ","integrate((a+b/x^2)/(c+d/x^2)^(3/2)/x^6,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(t_nostep),sign(t_nostep+sqrt(d)/c*sign(t_nostep))]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
986,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^m,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0,6,1,1,0]%%%} / %%%{1,[0,0,0,0,3]%%%} Error: Bad Argument Value","F(-2)",0
997,-2,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0,4,1,1,0]%%%} / %%%{1,[0,0,0,0,2]%%%} Error: Bad Argument Value","F(-2)",0
998,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c+d/x^2)^q*(e*x)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
1002,1,162,0,0.290103," ","integrate(x^(5/2)*(-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{1}{6720} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, {\left(7 \, \sqrt{x} - 50\right)} {\left(\sqrt{x} + 1\right)} + 1219\right)} {\left(\sqrt{x} + 1\right)} - 12463\right)} {\left(\sqrt{x} + 1\right)} + 64233\right)} {\left(\sqrt{x} + 1\right)} - 53963\right)} {\left(\sqrt{x} + 1\right)} + 59465\right)} {\left(\sqrt{x} + 1\right)} - 23205\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \frac{1}{840} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, \sqrt{x} - 37\right)} {\left(\sqrt{x} + 1\right)} + 661\right)} {\left(\sqrt{x} + 1\right)} - 4551\right)} {\left(\sqrt{x} + 1\right)} + 4781\right)} {\left(\sqrt{x} + 1\right)} - 6335\right)} {\left(\sqrt{x} + 1\right)} + 2835\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \frac{5}{32} \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"1/6720*((2*((4*(5*(6*(7*sqrt(x) - 50)*(sqrt(x) + 1) + 1219)*(sqrt(x) + 1) - 12463)*(sqrt(x) + 1) + 64233)*(sqrt(x) + 1) - 53963)*(sqrt(x) + 1) + 59465)*(sqrt(x) + 1) - 23205)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + 1/840*((2*((4*(5*(6*sqrt(x) - 37)*(sqrt(x) + 1) + 661)*(sqrt(x) + 1) - 4551)*(sqrt(x) + 1) + 4781)*(sqrt(x) + 1) - 6335)*(sqrt(x) + 1) + 2835)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + 5/32*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","A",0
1003,1,127,0,0.217297," ","integrate(x^(3/2)*(-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{1}{120} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, \sqrt{x} - 26\right)} {\left(\sqrt{x} + 1\right)} + 321\right)} {\left(\sqrt{x} + 1\right)} - 451\right)} {\left(\sqrt{x} + 1\right)} + 745\right)} {\left(\sqrt{x} + 1\right)} - 405\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \frac{1}{60} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, \sqrt{x} - 17\right)} {\left(\sqrt{x} + 1\right)} + 133\right)} {\left(\sqrt{x} + 1\right)} - 295\right)} {\left(\sqrt{x} + 1\right)} + 195\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \frac{1}{4} \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"1/120*((2*((4*(5*sqrt(x) - 26)*(sqrt(x) + 1) + 321)*(sqrt(x) + 1) - 451)*(sqrt(x) + 1) + 745)*(sqrt(x) + 1) - 405)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + 1/60*((2*(3*(4*sqrt(x) - 17)*(sqrt(x) + 1) + 133)*(sqrt(x) + 1) - 295)*(sqrt(x) + 1) + 195)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + 1/4*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","A",0
1004,1,92,0,0.189446," ","integrate(x^(1/2)*(-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, {\left({\left(2 \, {\left(3 \, \sqrt{x} - 10\right)} {\left(\sqrt{x} + 1\right)} + 43\right)} {\left(\sqrt{x} + 1\right)} - 39\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \frac{1}{3} \, {\left({\left(2 \, \sqrt{x} - 5\right)} {\left(\sqrt{x} + 1\right)} + 9\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \frac{1}{2} \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"1/12*((2*(3*sqrt(x) - 10)*(sqrt(x) + 1) + 43)*(sqrt(x) + 1) - 39)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + 1/3*((2*sqrt(x) - 5)*(sqrt(x) + 1) + 9)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + 1/2*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","B",0
1005,1,57,0,0.175366," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(1/2),x, algorithm=""giac"")","\sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} {\left(\sqrt{x} - 2\right)} + 2 \, \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + 2 \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1)*(sqrt(x) - 2) + 2*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + 2*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","B",0
1006,-1,0,0,0.000000," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1007,1,48,0,0.228925," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(5/2),x, algorithm=""giac"")","\frac{16 \, {\left(3 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{8} + 16\right)}}{3 \, {\left({\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4\right)}^{3}}"," ",0,"16/3*(3*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^8 + 16)/((sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)^3","B",0
1008,1,90,0,0.279971," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(7/2),x, algorithm=""giac"")","\frac{128 \, {\left(15 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{12} - 20 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{8} + 80 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 64\right)}}{15 \, {\left({\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4\right)}^{5}}"," ",0,"128/15*(15*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^12 - 20*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^8 + 80*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 64)/((sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)^5","B",0
1009,1,111,0,0.289945," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(9/2),x, algorithm=""giac"")","\frac{4096 \, {\left(35 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{16} - 70 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{12} + 168 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{8} + 224 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 128\right)}}{105 \, {\left({\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4\right)}^{7}}"," ",0,"4096/105*(35*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^16 - 70*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^12 + 168*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^8 + 224*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 128)/((sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)^7","A",0
1010,1,132,0,0.425691," ","integrate((-1+x^(1/2))^(1/2)*(1+x^(1/2))^(1/2)/x^(11/2),x, algorithm=""giac"")","\frac{16384 \, {\left(315 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{20} - 756 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{16} + 1344 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{12} + 2304 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{8} + 2304 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 1024\right)}}{315 \, {\left({\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4\right)}^{9}}"," ",0,"16384/315*(315*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^20 - 756*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^16 + 1344*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^12 + 2304*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^8 + 2304*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 1024)/((sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)^9","A",0
1011,1,76,0,0.230633," ","integrate(x^(5/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, {\left({\left(2 \, {\left({\left(4 \, {\left(\sqrt{x} + 1\right)} {\left(\sqrt{x} - 4\right)} + 45\right)} {\left(\sqrt{x} + 1\right)} - 55\right)} {\left(\sqrt{x} + 1\right)} + 85\right)} {\left(\sqrt{x} + 1\right)} - 33\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} - \frac{5}{4} \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"1/24*((2*((4*(sqrt(x) + 1)*(sqrt(x) - 4) + 45)*(sqrt(x) + 1) - 55)*(sqrt(x) + 1) + 85)*(sqrt(x) + 1) - 33)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) - 5/4*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","A",0
1012,1,59,0,0.226637," ","integrate(x^(3/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, {\left({\left(2 \, {\left(\sqrt{x} + 1\right)} {\left(\sqrt{x} - 2\right)} + 9\right)} {\left(\sqrt{x} + 1\right)} - 5\right)} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} - \frac{3}{2} \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"1/4*((2*(sqrt(x) + 1)*(sqrt(x) - 2) + 9)*(sqrt(x) + 1) - 5)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) - 3/2*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","A",0
1013,1,39,0,0.222693," ","integrate(x^(1/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\sqrt{x} \sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} - 2 \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"sqrt(x)*sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) - 2*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","A",0
1014,1,20,0,0.195251," ","integrate(1/x^(1/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","-4 \, \log\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)"," ",0,"-4*log(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))","B",0
1015,1,25,0,0.221781," ","integrate(1/x^(3/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{16}{{\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4}"," ",0,"16/((sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)","A",0
1016,1,48,0,0.221784," ","integrate(1/x^(5/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{128 \, {\left(3 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4\right)}}{3 \, {\left({\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4\right)}^{3}}"," ",0,"128/3*(3*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)/((sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)^3","A",0
1017,1,69,0,0.256598," ","integrate(1/x^(7/2)/(-1+x^(1/2))^(1/2)/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{4096 \, {\left(5 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{8} + 10 \, {\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 8\right)}}{15 \, {\left({\left(\sqrt{\sqrt{x} + 1} - \sqrt{\sqrt{x} - 1}\right)}^{4} + 4\right)}^{5}}"," ",0,"4096/15*(5*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^8 + 10*(sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 8)/((sqrt(sqrt(x) + 1) - sqrt(sqrt(x) - 1))^4 + 4)^5","A",0
1018,0,0,0,0.000000," ","integrate(x^2*(-a+b*x^n)^p*(a+b*x^n)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
1023,1,16,0,0.185205," ","integrate((x^6+1)/x/(-x^6+1),x, algorithm=""giac"")","\frac{1}{6} \, \log\left(x^{6}\right) - \frac{1}{3} \, \log\left({\left| x^{6} - 1 \right|}\right)"," ",0,"1/6*log(x^6) - 1/3*log(abs(x^6 - 1))","A",0
1024,1,38,0,0.291735," ","integrate((e*x)^m*(a+b*x^n)^p*(a*(1+m)+b*(n*p+m+n+1)*x^n),x, algorithm=""giac"")","{\left(b x^{n} + a\right)}^{p} b x x^{m} x^{n} e^{m} + {\left(b x^{n} + a\right)}^{p} a x x^{m} e^{m}"," ",0,"(b*x^n + a)^p*b*x*x^m*x^n*e^m + (b*x^n + a)^p*a*x*x^m*e^m","A",0
1025,0,0,0,0.000000," ","integrate((e*x)^m/(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
1029,0,0,0,0.000000," ","integrate(1/x/(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)} x}\,{d x}"," ",0,"integrate(1/((b*x^n + a)*(d*x^n + c)*x), x)","F",0
1030,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\int \frac{\left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate((e*x)^m/((b*x^n + a)^2*(d*x^n + c)), x)","F",0
1033,0,0,0,0.000000," ","integrate(x^2/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^2/((b*x^n + a)^2*(d*x^n + c)), x)","F",0
1034,0,0,0,0.000000," ","integrate(x/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x/((b*x^n + a)^2*(d*x^n + c)), x)","F",0
1035,0,0,0,0.000000," ","integrate(1/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^2*(d*x^n + c)), x)","F",0
1036,0,0,0,0.000000," ","integrate(1/x/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)} x}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^2*(d*x^n + c)*x), x)","F",0
1037,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^2*(d*x^n + c)*x^2), x)","F",0
1038,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^2*(d*x^n + c)*x^3), x)","F",0
1039,0,0,0,0.000000," ","integrate(x^(-1+2*n)*(a+b*x^n)^3/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(b x^{n} + a\right)}^{3} x^{2 \, n - 1}}{d x^{n} + c}\,{d x}"," ",0,"integrate((b*x^n + a)^3*x^(2*n - 1)/(d*x^n + c), x)","F",0
1040,0,0,0,0.000000," ","integrate(x^(-1+2*n)*(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(b x^{n} + a\right)}^{2} x^{2 \, n - 1}}{d x^{n} + c}\,{d x}"," ",0,"integrate((b*x^n + a)^2*x^(2*n - 1)/(d*x^n + c), x)","F",0
1041,0,0,0,0.000000," ","integrate(x^(-1+2*n)*(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(b x^{n} + a\right)} x^{2 \, n - 1}}{d x^{n} + c}\,{d x}"," ",0,"integrate((b*x^n + a)*x^(2*n - 1)/(d*x^n + c), x)","F",0
1042,0,0,0,0.000000," ","integrate(x^(-1+2*n)/(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x^{2 \, n - 1}}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^(2*n - 1)/((b*x^n + a)*(d*x^n + c)), x)","F",0
1043,0,0,0,0.000000," ","integrate(x^(-1+2*n)/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x^{2 \, n - 1}}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^(2*n - 1)/((b*x^n + a)^2*(d*x^n + c)), x)","F",0
1044,0,0,0,0.000000," ","integrate(x^(-1+2*n)/(a+b*x^n)^3/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x^{2 \, n - 1}}{{\left(b x^{n} + a\right)}^{3} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^(2*n - 1)/((b*x^n + a)^3*(d*x^n + c)), x)","F",0
1045,0,0,0,0.000000," ","integrate(x^(-1+3*n)*(a+b*x^n)^3/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(b x^{n} + a\right)}^{3} x^{3 \, n - 1}}{d x^{n} + c}\,{d x}"," ",0,"integrate((b*x^n + a)^3*x^(3*n - 1)/(d*x^n + c), x)","F",0
1046,0,0,0,0.000000," ","integrate(x^(-1+3*n)*(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(b x^{n} + a\right)}^{2} x^{3 \, n - 1}}{d x^{n} + c}\,{d x}"," ",0,"integrate((b*x^n + a)^2*x^(3*n - 1)/(d*x^n + c), x)","F",0
1047,0,0,0,0.000000," ","integrate(x^(-1+3*n)*(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(b x^{n} + a\right)} x^{3 \, n - 1}}{d x^{n} + c}\,{d x}"," ",0,"integrate((b*x^n + a)*x^(3*n - 1)/(d*x^n + c), x)","F",0
1048,0,0,0,0.000000," ","integrate(x^(-1+3*n)/(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x^{3 \, n - 1}}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^(3*n - 1)/((b*x^n + a)*(d*x^n + c)), x)","F",0
1049,0,0,0,0.000000," ","integrate(x^(-1+3*n)/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x^{3 \, n - 1}}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^(3*n - 1)/((b*x^n + a)^2*(d*x^n + c)), x)","F",0
1050,0,0,0,0.000000," ","integrate(x^(-1+3*n)/(a+b*x^n)^3/(c+d*x^n),x, algorithm=""giac"")","\int \frac{x^{3 \, n - 1}}{{\left(b x^{n} + a\right)}^{3} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate(x^(3*n - 1)/((b*x^n + a)^3*(d*x^n + c)), x)","F",0
1051,1,13,0,0.147844," ","integrate(x^13*(c*x+b)^13*(2*c*x+b),x, algorithm=""giac"")","\frac{1}{14} \, {\left(c x^{2} + b x\right)}^{14}"," ",0,"1/14*(c*x^2 + b*x)^14","A",0
1052,1,156,0,0.188437," ","integrate(x^27*(c*x^2+b)^13*(2*c*x^2+b),x, algorithm=""giac"")","\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
1053,1,156,0,0.163108," ","integrate(x^41*(c*x^3+b)^13*(2*c*x^3+b),x, algorithm=""giac"")","\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
1054,1,189,0,0.572415," ","integrate(x^(-1+14*n)*(b+c*x^n)^13*(b+2*c*x^n),x, algorithm=""giac"")","\frac{c^{14} x^{28 \, n} + 14 \, b c^{13} x^{27 \, n} + 91 \, b^{2} c^{12} x^{26 \, n} + 364 \, b^{3} c^{11} x^{25 \, n} + 1001 \, b^{4} c^{10} x^{24 \, n} + 2002 \, b^{5} c^{9} x^{23 \, n} + 3003 \, b^{6} c^{8} x^{22 \, n} + 3432 \, b^{7} c^{7} x^{21 \, n} + 3003 \, b^{8} c^{6} x^{20 \, n} + 2002 \, b^{9} c^{5} x^{19 \, n} + 1001 \, b^{10} c^{4} x^{18 \, n} + 364 \, b^{11} c^{3} x^{17 \, n} + 91 \, b^{12} c^{2} x^{16 \, n} + 14 \, b^{13} c x^{15 \, n} + b^{14} x^{14 \, n}}{14 \, n}"," ",0,"1/14*(c^14*x^(28*n) + 14*b*c^13*x^(27*n) + 91*b^2*c^12*x^(26*n) + 364*b^3*c^11*x^(25*n) + 1001*b^4*c^10*x^(24*n) + 2002*b^5*c^9*x^(23*n) + 3003*b^6*c^8*x^(22*n) + 3432*b^7*c^7*x^(21*n) + 3003*b^8*c^6*x^(20*n) + 2002*b^9*c^5*x^(19*n) + 1001*b^10*c^4*x^(18*n) + 364*b^11*c^3*x^(17*n) + 91*b^12*c^2*x^(16*n) + 14*b^13*c*x^(15*n) + b^14*x^(14*n))/n","B",0
1055,1,70,0,0.279327," ","integrate(x^(-1+m)*(a+b*x^n)^(-1+p)*(a*m+b*(n*p+m)*x^n),x, algorithm=""giac"")","b x x^{n} e^{\left(p \log\left(b x^{n} + a\right) + m \log\left(x\right) - \log\left(b x^{n} + a\right) - \log\left(x\right)\right)} + a x e^{\left(p \log\left(b x^{n} + a\right) + m \log\left(x\right) - \log\left(b x^{n} + a\right) - \log\left(x\right)\right)}"," ",0,"b*x*x^n*e^(p*log(b*x^n + a) + m*log(x) - log(b*x^n + a) - log(x)) + a*x*e^(p*log(b*x^n + a) + m*log(x) - log(b*x^n + a) - log(x))","B",0
1056,1,11,0,0.151653," ","integrate((2*c*x+b)/x/(c*x+b),x, algorithm=""giac"")","\log\left({\left| c x + b \right|}\right) + \log\left({\left| x \right|}\right)"," ",0,"log(abs(c*x + b)) + log(abs(x))","A",0
1057,1,18,0,0.151437," ","integrate((2*c*x^2+b)/x/(c*x^2+b),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x^{2}\right) + \frac{1}{2} \, \log\left({\left| c x^{2} + b \right|}\right)"," ",0,"1/2*log(x^2) + 1/2*log(abs(c*x^2 + b))","A",0
1058,1,15,0,0.162174," ","integrate((2*c*x^3+b)/x/(c*x^3+b),x, algorithm=""giac"")","\frac{1}{3} \, \log\left({\left| c x^{3} + b \right|}\right) + \log\left({\left| x \right|}\right)"," ",0,"1/3*log(abs(c*x^3 + b)) + log(abs(x))","A",0
1059,0,0,0,0.000000," ","integrate((b+2*c*x^n)/x/(b+c*x^n),x, algorithm=""giac"")","\int \frac{2 \, c x^{n} + b}{{\left(c x^{n} + b\right)} x}\,{d x}"," ",0,"integrate((2*c*x^n + b)/((c*x^n + b)*x), x)","F",0
1060,1,13,0,0.169720," ","integrate((2*c*x+b)/x^8/(c*x+b)^8,x, algorithm=""giac"")","-\frac{1}{7 \, {\left(c x^{2} + b x\right)}^{7}}"," ",0,"-1/7/(c*x^2 + b*x)^7","A",0
1061,1,15,0,0.154622," ","integrate((2*c*x^2+b)/x^15/(c*x^2+b)^8,x, algorithm=""giac"")","-\frac{1}{14 \, {\left(c x^{4} + b x^{2}\right)}^{7}}"," ",0,"-1/14/(c*x^4 + b*x^2)^7","A",0
1062,1,15,0,0.168620," ","integrate((2*c*x^3+b)/x^22/(c*x^3+b)^8,x, algorithm=""giac"")","-\frac{1}{21 \, {\left(c x^{6} + b x^{3}\right)}^{7}}"," ",0,"-1/21/(c*x^6 + b*x^3)^7","A",0
1063,0,0,0,0.000000," ","integrate(x^(-1-7*n)*(b+2*c*x^n)/(b+c*x^n)^8,x, algorithm=""giac"")","\int \frac{{\left(2 \, c x^{n} + b\right)} x^{-7 \, n - 1}}{{\left(c x^{n} + b\right)}^{8}}\,{d x}"," ",0,"integrate((2*c*x^n + b)*x^(-7*n - 1)/(c*x^n + b)^8, x)","F",0
1064,1,56,0,0.154726," ","integrate(x^31*(x^16+1)^(1/2)/(-x^16+1),x, algorithm=""giac"")","-\frac{1}{24} \, {\left(x^{16} + 1\right)}^{\frac{3}{2}} - \frac{1}{16} \, \sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, \sqrt{x^{16} + 1} \right|}}{2 \, {\left(\sqrt{2} + \sqrt{x^{16} + 1}\right)}}\right) - \frac{1}{8} \, \sqrt{x^{16} + 1}"," ",0,"-1/24*(x^16 + 1)^(3/2) - 1/16*sqrt(2)*log(1/2*abs(-2*sqrt(2) + 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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*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=""giac"")","\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=""giac"")","\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
1078,1,35,0,0.164043," ","integrate(x^p*(c*x+b)^p*(2*c*x+b),x, algorithm=""giac"")","\frac{{\left(c x + b\right)}^{p} c x^{2} x^{p} + {\left(c x + b\right)}^{p} b x x^{p}}{p + 1}"," ",0,"((c*x + b)^p*c*x^2*x^p + (c*x + b)^p*b*x*x^p)/(p + 1)","A",0
1079,1,52,0,0.190730," ","integrate(x^(1+2*p)*(c*x^2+b)^p*(2*c*x^2+b),x, algorithm=""giac"")","\frac{{\left(c x^{2} + b\right)}^{p} c x^{3} e^{\left(2 \, p \log\left(x\right) + \log\left(x\right)\right)} + {\left(c x^{2} + b\right)}^{p} b x e^{\left(2 \, p \log\left(x\right) + \log\left(x\right)\right)}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*((c*x^2 + b)^p*c*x^3*e^(2*p*log(x) + log(x)) + (c*x^2 + b)^p*b*x*e^(2*p*log(x) + log(x)))/(p + 1)","B",0
1080,1,56,0,0.262449," ","integrate(x^(2+3*p)*(c*x^3+b)^p*(2*c*x^3+b),x, algorithm=""giac"")","\frac{{\left(c x^{3} + b\right)}^{p} c x^{4} e^{\left(3 \, p \log\left(x\right) + 2 \, \log\left(x\right)\right)} + {\left(c x^{3} + b\right)}^{p} b x e^{\left(3 \, p \log\left(x\right) + 2 \, \log\left(x\right)\right)}}{3 \, {\left(p + 1\right)}}"," ",0,"1/3*((c*x^3 + b)^p*c*x^4*e^(3*p*log(x) + 2*log(x)) + (c*x^3 + b)^p*b*x*e^(3*p*log(x) + 2*log(x)))/(p + 1)","B",0
1081,1,66,0,0.252911," ","integrate(x^(-1+n*(1+p))*(b+c*x^n)^p*(b+2*c*x^n),x, algorithm=""giac"")","\frac{{\left(c x^{n} + b\right)}^{p} c x x^{n} e^{\left(n p \log\left(x\right) + n \log\left(x\right) - \log\left(x\right)\right)} + {\left(c x^{n} + b\right)}^{p} b x e^{\left(n p \log\left(x\right) + n \log\left(x\right) - \log\left(x\right)\right)}}{n p + n}"," ",0,"((c*x^n + b)^p*c*x*x^n*e^(n*p*log(x) + n*log(x) - log(x)) + (c*x^n + b)^p*b*x*e^(n*p*log(x) + n*log(x) - log(x)))/(n*p + n)","B",0
