1,1,13,0,1.045135," ","integrate(x^4*(b*x^2+a),x, algorithm=""fricas"")","\frac{1}{7} x^{7} b + \frac{1}{5} x^{5} a"," ",0,"1/7*x^7*b + 1/5*x^5*a","A",0
2,1,13,0,0.832298," ","integrate(x^3*(b*x^2+a),x, algorithm=""fricas"")","\frac{1}{6} x^{6} b + \frac{1}{4} x^{4} a"," ",0,"1/6*x^6*b + 1/4*x^4*a","A",0
3,1,13,0,0.772053," ","integrate(x^2*(b*x^2+a),x, algorithm=""fricas"")","\frac{1}{5} x^{5} b + \frac{1}{3} x^{3} a"," ",0,"1/5*x^5*b + 1/3*x^3*a","A",0
4,1,13,0,0.991910," ","integrate(x*(b*x^2+a),x, algorithm=""fricas"")","\frac{1}{4} x^{4} b + \frac{1}{2} x^{2} a"," ",0,"1/4*x^4*b + 1/2*x^2*a","A",0
5,1,10,0,0.986929," ","integrate(b*x^2+a,x, algorithm=""fricas"")","\frac{1}{3} x^{3} b + x a"," ",0,"1/3*x^3*b + x*a","A",0
6,1,11,0,1.171124," ","integrate((b*x^2+a)/x,x, algorithm=""fricas"")","\frac{1}{2} \, b x^{2} + a \log\left(x\right)"," ",0,"1/2*b*x^2 + a*log(x)","A",0
7,1,13,0,1.057931," ","integrate((b*x^2+a)/x^2,x, algorithm=""fricas"")","\frac{b x^{2} - a}{x}"," ",0,"(b*x^2 - a)/x","A",0
8,1,17,0,1.276693," ","integrate((b*x^2+a)/x^3,x, algorithm=""fricas"")","\frac{2 \, b x^{2} \log\left(x\right) - a}{2 \, x^{2}}"," ",0,"1/2*(2*b*x^2*log(x) - a)/x^2","A",0
9,1,13,0,0.795188," ","integrate((b*x^2+a)/x^4,x, algorithm=""fricas"")","-\frac{3 \, b x^{2} + a}{3 \, x^{3}}"," ",0,"-1/3*(3*b*x^2 + a)/x^3","A",0
10,1,13,0,0.818408," ","integrate((b*x^2+a)/x^5,x, algorithm=""fricas"")","-\frac{2 \, b x^{2} + a}{4 \, x^{4}}"," ",0,"-1/4*(2*b*x^2 + a)/x^4","A",0
11,1,15,0,0.909976," ","integrate((b*x^2+a)/x^6,x, algorithm=""fricas"")","-\frac{5 \, b x^{2} + 3 \, a}{15 \, x^{5}}"," ",0,"-1/15*(5*b*x^2 + 3*a)/x^5","A",0
12,1,15,0,1.155031," ","integrate((b*x^2+a)/x^7,x, algorithm=""fricas"")","-\frac{3 \, b x^{2} + 2 \, a}{12 \, x^{6}}"," ",0,"-1/12*(3*b*x^2 + 2*a)/x^6","A",0
13,1,24,0,0.943308," ","integrate(x^5*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{10} x^{10} b^{2} + \frac{1}{4} x^{8} b a + \frac{1}{6} x^{6} a^{2}"," ",0,"1/10*x^10*b^2 + 1/4*x^8*b*a + 1/6*x^6*a^2","A",0
14,1,24,0,1.087461," ","integrate(x^4*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{9} x^{9} b^{2} + \frac{2}{7} x^{7} b a + \frac{1}{5} x^{5} a^{2}"," ",0,"1/9*x^9*b^2 + 2/7*x^7*b*a + 1/5*x^5*a^2","A",0
15,1,24,0,0.844255," ","integrate(x^3*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{8} x^{8} b^{2} + \frac{1}{3} x^{6} b a + \frac{1}{4} x^{4} a^{2}"," ",0,"1/8*x^8*b^2 + 1/3*x^6*b*a + 1/4*x^4*a^2","A",0
16,1,24,0,0.920087," ","integrate(x^2*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} b^{2} + \frac{2}{5} x^{5} b a + \frac{1}{3} x^{3} a^{2}"," ",0,"1/7*x^7*b^2 + 2/5*x^5*b*a + 1/3*x^3*a^2","A",0
17,1,24,0,0.485554," ","integrate(x*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{6} x^{6} b^{2} + \frac{1}{2} x^{4} b a + \frac{1}{2} x^{2} a^{2}"," ",0,"1/6*x^6*b^2 + 1/2*x^4*b*a + 1/2*x^2*a^2","A",0
18,1,21,0,0.693004," ","integrate((b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{5} x^{5} b^{2} + \frac{2}{3} x^{3} b a + x a^{2}"," ",0,"1/5*x^5*b^2 + 2/3*x^3*b*a + x*a^2","A",0
19,1,21,0,0.875024," ","integrate((b*x^2+a)^2/x,x, algorithm=""fricas"")","\frac{1}{4} \, b^{2} x^{4} + a b x^{2} + a^{2} \log\left(x\right)"," ",0,"1/4*b^2*x^4 + a*b*x^2 + a^2*log(x)","A",0
20,1,25,0,2.055087," ","integrate((b*x^2+a)^2/x^2,x, algorithm=""fricas"")","\frac{b^{2} x^{4} + 6 \, a b x^{2} - 3 \, a^{2}}{3 \, x}"," ",0,"1/3*(b^2*x^4 + 6*a*b*x^2 - 3*a^2)/x","A",0
21,1,27,0,1.559332," ","integrate((b*x^2+a)^2/x^3,x, algorithm=""fricas"")","\frac{b^{2} x^{4} + 4 \, a b x^{2} \log\left(x\right) - a^{2}}{2 \, x^{2}}"," ",0,"1/2*(b^2*x^4 + 4*a*b*x^2*log(x) - a^2)/x^2","A",0
22,1,26,0,0.778917," ","integrate((b*x^2+a)^2/x^4,x, algorithm=""fricas"")","\frac{3 \, b^{2} x^{4} - 6 \, a b x^{2} - a^{2}}{3 \, x^{3}}"," ",0,"1/3*(3*b^2*x^4 - 6*a*b*x^2 - a^2)/x^3","A",0
23,1,28,0,1.035368," ","integrate((b*x^2+a)^2/x^5,x, algorithm=""fricas"")","\frac{4 \, b^{2} x^{4} \log\left(x\right) - 4 \, a b x^{2} - a^{2}}{4 \, x^{4}}"," ",0,"1/4*(4*b^2*x^4*log(x) - 4*a*b*x^2 - a^2)/x^4","A",0
24,1,26,0,1.031606," ","integrate((b*x^2+a)^2/x^6,x, algorithm=""fricas"")","-\frac{15 \, b^{2} x^{4} + 10 \, a b x^{2} + 3 \, a^{2}}{15 \, x^{5}}"," ",0,"-1/15*(15*b^2*x^4 + 10*a*b*x^2 + 3*a^2)/x^5","A",0
25,1,24,0,1.188733," ","integrate((b*x^2+a)^2/x^7,x, algorithm=""fricas"")","-\frac{3 \, b^{2} x^{4} + 3 \, a b x^{2} + a^{2}}{6 \, x^{6}}"," ",0,"-1/6*(3*b^2*x^4 + 3*a*b*x^2 + a^2)/x^6","A",0
26,1,26,0,0.793863," ","integrate((b*x^2+a)^2/x^8,x, algorithm=""fricas"")","-\frac{35 \, b^{2} x^{4} + 42 \, a b x^{2} + 15 \, a^{2}}{105 \, x^{7}}"," ",0,"-1/105*(35*b^2*x^4 + 42*a*b*x^2 + 15*a^2)/x^7","A",0
27,1,26,0,1.132294," ","integrate((b*x^2+a)^2/x^9,x, algorithm=""fricas"")","-\frac{6 \, b^{2} x^{4} + 8 \, a b x^{2} + 3 \, a^{2}}{24 \, x^{8}}"," ",0,"-1/24*(6*b^2*x^4 + 8*a*b*x^2 + 3*a^2)/x^8","A",0
28,1,26,0,1.280702," ","integrate((b*x^2+a)^2/x^10,x, algorithm=""fricas"")","-\frac{63 \, b^{2} x^{4} + 90 \, a b x^{2} + 35 \, a^{2}}{315 \, x^{9}}"," ",0,"-1/315*(63*b^2*x^4 + 90*a*b*x^2 + 35*a^2)/x^9","A",0
29,1,35,0,1.221467," ","integrate(x^9*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{16} x^{16} b^{3} + \frac{3}{14} x^{14} b^{2} a + \frac{1}{4} x^{12} b a^{2} + \frac{1}{10} x^{10} a^{3}"," ",0,"1/16*x^16*b^3 + 3/14*x^14*b^2*a + 1/4*x^12*b*a^2 + 1/10*x^10*a^3","A",0
30,1,35,0,0.984182," ","integrate(x^7*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{14} x^{14} b^{3} + \frac{1}{4} x^{12} b^{2} a + \frac{3}{10} x^{10} b a^{2} + \frac{1}{8} x^{8} a^{3}"," ",0,"1/14*x^14*b^3 + 1/4*x^12*b^2*a + 3/10*x^10*b*a^2 + 1/8*x^8*a^3","A",0
31,1,35,0,0.465997," ","integrate(x^5*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{12} x^{12} b^{3} + \frac{3}{10} x^{10} b^{2} a + \frac{3}{8} x^{8} b a^{2} + \frac{1}{6} x^{6} a^{3}"," ",0,"1/12*x^12*b^3 + 3/10*x^10*b^2*a + 3/8*x^8*b*a^2 + 1/6*x^6*a^3","A",0
32,1,35,0,0.948896," ","integrate(x^3*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{10} x^{10} b^{3} + \frac{3}{8} x^{8} b^{2} a + \frac{1}{2} x^{6} b a^{2} + \frac{1}{4} x^{4} a^{3}"," ",0,"1/10*x^10*b^3 + 3/8*x^8*b^2*a + 1/2*x^6*b*a^2 + 1/4*x^4*a^3","A",0
33,1,35,0,0.887488," ","integrate(x*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{8} x^{8} b^{3} + \frac{1}{2} x^{6} b^{2} a + \frac{3}{4} x^{4} b a^{2} + \frac{1}{2} x^{2} a^{3}"," ",0,"1/8*x^8*b^3 + 1/2*x^6*b^2*a + 3/4*x^4*b*a^2 + 1/2*x^2*a^3","B",0
34,1,33,0,0.757928," ","integrate((b*x^2+a)^3/x,x, algorithm=""fricas"")","\frac{1}{6} \, b^{3} x^{6} + \frac{3}{4} \, a b^{2} x^{4} + \frac{3}{2} \, a^{2} b x^{2} + a^{3} \log\left(x\right)"," ",0,"1/6*b^3*x^6 + 3/4*a*b^2*x^4 + 3/2*a^2*b*x^2 + a^3*log(x)","A",0
35,1,38,0,0.930696," ","integrate((b*x^2+a)^3/x^3,x, algorithm=""fricas"")","\frac{b^{3} x^{6} + 6 \, a b^{2} x^{4} + 12 \, a^{2} b x^{2} \log\left(x\right) - 2 \, a^{3}}{4 \, x^{2}}"," ",0,"1/4*(b^3*x^6 + 6*a*b^2*x^4 + 12*a^2*b*x^2*log(x) - 2*a^3)/x^2","A",0
36,1,39,0,1.104441," ","integrate((b*x^2+a)^3/x^5,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{6} + 12 \, a b^{2} x^{4} \log\left(x\right) - 6 \, a^{2} b x^{2} - a^{3}}{4 \, x^{4}}"," ",0,"1/4*(2*b^3*x^6 + 12*a*b^2*x^4*log(x) - 6*a^2*b*x^2 - a^3)/x^4","A",0
37,1,39,0,1.015983," ","integrate((b*x^2+a)^3/x^7,x, algorithm=""fricas"")","\frac{12 \, b^{3} x^{6} \log\left(x\right) - 18 \, a b^{2} x^{4} - 9 \, a^{2} b x^{2} - 2 \, a^{3}}{12 \, x^{6}}"," ",0,"1/12*(12*b^3*x^6*log(x) - 18*a*b^2*x^4 - 9*a^2*b*x^2 - 2*a^3)/x^6","A",0
38,1,35,0,1.739273," ","integrate((b*x^2+a)^3/x^9,x, algorithm=""fricas"")","-\frac{4 \, b^{3} x^{6} + 6 \, a b^{2} x^{4} + 4 \, a^{2} b x^{2} + a^{3}}{8 \, x^{8}}"," ",0,"-1/8*(4*b^3*x^6 + 6*a*b^2*x^4 + 4*a^2*b*x^2 + a^3)/x^8","B",0
39,1,37,0,0.991135," ","integrate((b*x^2+a)^3/x^11,x, algorithm=""fricas"")","-\frac{10 \, b^{3} x^{6} + 20 \, a b^{2} x^{4} + 15 \, a^{2} b x^{2} + 4 \, a^{3}}{40 \, x^{10}}"," ",0,"-1/40*(10*b^3*x^6 + 20*a*b^2*x^4 + 15*a^2*b*x^2 + 4*a^3)/x^10","A",0
40,1,37,0,0.780040," ","integrate((b*x^2+a)^3/x^13,x, algorithm=""fricas"")","-\frac{20 \, b^{3} x^{6} + 45 \, a b^{2} x^{4} + 36 \, a^{2} b x^{2} + 10 \, a^{3}}{120 \, x^{12}}"," ",0,"-1/120*(20*b^3*x^6 + 45*a*b^2*x^4 + 36*a^2*b*x^2 + 10*a^3)/x^12","A",0
41,1,37,0,0.710922," ","integrate((b*x^2+a)^3/x^15,x, algorithm=""fricas"")","-\frac{35 \, b^{3} x^{6} + 84 \, a b^{2} x^{4} + 70 \, a^{2} b x^{2} + 20 \, a^{3}}{280 \, x^{14}}"," ",0,"-1/280*(35*b^3*x^6 + 84*a*b^2*x^4 + 70*a^2*b*x^2 + 20*a^3)/x^14","A",0
42,1,35,0,0.835563," ","integrate(x^6*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{13} x^{13} b^{3} + \frac{3}{11} x^{11} b^{2} a + \frac{1}{3} x^{9} b a^{2} + \frac{1}{7} x^{7} a^{3}"," ",0,"1/13*x^13*b^3 + 3/11*x^11*b^2*a + 1/3*x^9*b*a^2 + 1/7*x^7*a^3","A",0
43,1,35,0,0.961986," ","integrate(x^4*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{11} x^{11} b^{3} + \frac{1}{3} x^{9} b^{2} a + \frac{3}{7} x^{7} b a^{2} + \frac{1}{5} x^{5} a^{3}"," ",0,"1/11*x^11*b^3 + 1/3*x^9*b^2*a + 3/7*x^7*b*a^2 + 1/5*x^5*a^3","A",0
44,1,35,0,1.006948," ","integrate(x^2*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{9} x^{9} b^{3} + \frac{3}{7} x^{7} b^{2} a + \frac{3}{5} x^{5} b a^{2} + \frac{1}{3} x^{3} a^{3}"," ",0,"1/9*x^9*b^3 + 3/7*x^7*b^2*a + 3/5*x^5*b*a^2 + 1/3*x^3*a^3","A",0
45,1,31,0,1.019902," ","integrate((b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{7} x^{7} b^{3} + \frac{3}{5} x^{5} b^{2} a + x^{3} b a^{2} + x a^{3}"," ",0,"1/7*x^7*b^3 + 3/5*x^5*b^2*a + x^3*b*a^2 + x*a^3","A",0
46,1,36,0,0.731039," ","integrate((b*x^2+a)^3/x^2,x, algorithm=""fricas"")","\frac{b^{3} x^{6} + 5 \, a b^{2} x^{4} + 15 \, a^{2} b x^{2} - 5 \, a^{3}}{5 \, x}"," ",0,"1/5*(b^3*x^6 + 5*a*b^2*x^4 + 15*a^2*b*x^2 - 5*a^3)/x","A",0
47,1,36,0,1.242698," ","integrate((b*x^2+a)^3/x^4,x, algorithm=""fricas"")","\frac{b^{3} x^{6} + 9 \, a b^{2} x^{4} - 9 \, a^{2} b x^{2} - a^{3}}{3 \, x^{3}}"," ",0,"1/3*(b^3*x^6 + 9*a*b^2*x^4 - 9*a^2*b*x^2 - a^3)/x^3","A",0
48,1,37,0,1.329597," ","integrate((b*x^2+a)^3/x^6,x, algorithm=""fricas"")","\frac{5 \, b^{3} x^{6} - 15 \, a b^{2} x^{4} - 5 \, a^{2} b x^{2} - a^{3}}{5 \, x^{5}}"," ",0,"1/5*(5*b^3*x^6 - 15*a*b^2*x^4 - 5*a^2*b*x^2 - a^3)/x^5","A",0
49,1,37,0,1.277921," ","integrate((b*x^2+a)^3/x^8,x, algorithm=""fricas"")","-\frac{35 \, b^{3} x^{6} + 35 \, a b^{2} x^{4} + 21 \, a^{2} b x^{2} + 5 \, a^{3}}{35 \, x^{7}}"," ",0,"-1/35*(35*b^3*x^6 + 35*a*b^2*x^4 + 21*a^2*b*x^2 + 5*a^3)/x^7","A",0
50,1,37,0,1.197948," ","integrate((b*x^2+a)^3/x^10,x, algorithm=""fricas"")","-\frac{105 \, b^{3} x^{6} + 189 \, a b^{2} x^{4} + 135 \, a^{2} b x^{2} + 35 \, a^{3}}{315 \, x^{9}}"," ",0,"-1/315*(105*b^3*x^6 + 189*a*b^2*x^4 + 135*a^2*b*x^2 + 35*a^3)/x^9","A",0
51,1,37,0,1.004355," ","integrate((b*x^2+a)^3/x^12,x, algorithm=""fricas"")","-\frac{231 \, b^{3} x^{6} + 495 \, a b^{2} x^{4} + 385 \, a^{2} b x^{2} + 105 \, a^{3}}{1155 \, x^{11}}"," ",0,"-1/1155*(231*b^3*x^6 + 495*a*b^2*x^4 + 385*a^2*b*x^2 + 105*a^3)/x^11","A",0
52,1,57,0,0.426812," ","integrate(x^13*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{24} x^{24} b^{5} + \frac{5}{22} x^{22} b^{4} a + \frac{1}{2} x^{20} b^{3} a^{2} + \frac{5}{9} x^{18} b^{2} a^{3} + \frac{5}{16} x^{16} b a^{4} + \frac{1}{14} x^{14} a^{5}"," ",0,"1/24*x^24*b^5 + 5/22*x^22*b^4*a + 1/2*x^20*b^3*a^2 + 5/9*x^18*b^2*a^3 + 5/16*x^16*b*a^4 + 1/14*x^14*a^5","A",0
53,1,57,0,1.134485," ","integrate(x^11*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{22} x^{22} b^{5} + \frac{1}{4} x^{20} b^{4} a + \frac{5}{9} x^{18} b^{3} a^{2} + \frac{5}{8} x^{16} b^{2} a^{3} + \frac{5}{14} x^{14} b a^{4} + \frac{1}{12} x^{12} a^{5}"," ",0,"1/22*x^22*b^5 + 1/4*x^20*b^4*a + 5/9*x^18*b^3*a^2 + 5/8*x^16*b^2*a^3 + 5/14*x^14*b*a^4 + 1/12*x^12*a^5","A",0
54,1,57,0,0.921226," ","integrate(x^9*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{20} x^{20} b^{5} + \frac{5}{18} x^{18} b^{4} a + \frac{5}{8} x^{16} b^{3} a^{2} + \frac{5}{7} x^{14} b^{2} a^{3} + \frac{5}{12} x^{12} b a^{4} + \frac{1}{10} x^{10} a^{5}"," ",0,"1/20*x^20*b^5 + 5/18*x^18*b^4*a + 5/8*x^16*b^3*a^2 + 5/7*x^14*b^2*a^3 + 5/12*x^12*b*a^4 + 1/10*x^10*a^5","A",0
55,1,57,0,0.942831," ","integrate(x^7*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{18} x^{18} b^{5} + \frac{5}{16} x^{16} b^{4} a + \frac{5}{7} x^{14} b^{3} a^{2} + \frac{5}{6} x^{12} b^{2} a^{3} + \frac{1}{2} x^{10} b a^{4} + \frac{1}{8} x^{8} a^{5}"," ",0,"1/18*x^18*b^5 + 5/16*x^16*b^4*a + 5/7*x^14*b^3*a^2 + 5/6*x^12*b^2*a^3 + 1/2*x^10*b*a^4 + 1/8*x^8*a^5","A",0
56,1,56,0,1.041860," ","integrate(x^5*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{16} x^{16} b^{5} + \frac{5}{14} x^{14} b^{4} a + \frac{5}{6} x^{12} b^{3} a^{2} + x^{10} b^{2} a^{3} + \frac{5}{8} x^{8} b a^{4} + \frac{1}{6} x^{6} a^{5}"," ",0,"1/16*x^16*b^5 + 5/14*x^14*b^4*a + 5/6*x^12*b^3*a^2 + x^10*b^2*a^3 + 5/8*x^8*b*a^4 + 1/6*x^6*a^5","A",0
57,1,56,0,0.813110," ","integrate(x^3*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{14} x^{14} b^{5} + \frac{5}{12} x^{12} b^{4} a + x^{10} b^{3} a^{2} + \frac{5}{4} x^{8} b^{2} a^{3} + \frac{5}{6} x^{6} b a^{4} + \frac{1}{4} x^{4} a^{5}"," ",0,"1/14*x^14*b^5 + 5/12*x^12*b^4*a + x^10*b^3*a^2 + 5/4*x^8*b^2*a^3 + 5/6*x^6*b*a^4 + 1/4*x^4*a^5","A",0
58,1,57,0,0.789237," ","integrate(x*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{12} x^{12} b^{5} + \frac{1}{2} x^{10} b^{4} a + \frac{5}{4} x^{8} b^{3} a^{2} + \frac{5}{3} x^{6} b^{2} a^{3} + \frac{5}{4} x^{4} b a^{4} + \frac{1}{2} x^{2} a^{5}"," ",0,"1/12*x^12*b^5 + 1/2*x^10*b^4*a + 5/4*x^8*b^3*a^2 + 5/3*x^6*b^2*a^3 + 5/4*x^4*b*a^4 + 1/2*x^2*a^5","B",0
59,1,55,0,0.897950," ","integrate((b*x^2+a)^5/x,x, algorithm=""fricas"")","\frac{1}{10} \, b^{5} x^{10} + \frac{5}{8} \, a b^{4} x^{8} + \frac{5}{3} \, a^{2} b^{3} x^{6} + \frac{5}{2} \, a^{3} b^{2} x^{4} + \frac{5}{2} \, a^{4} b x^{2} + a^{5} \log\left(x\right)"," ",0,"1/10*b^5*x^10 + 5/8*a*b^4*x^8 + 5/3*a^2*b^3*x^6 + 5/2*a^3*b^2*x^4 + 5/2*a^4*b*x^2 + a^5*log(x)","A",0
60,1,61,0,0.927890," ","integrate((b*x^2+a)^5/x^3,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{10} + 20 \, a b^{4} x^{8} + 60 \, a^{2} b^{3} x^{6} + 120 \, a^{3} b^{2} x^{4} + 120 \, a^{4} b x^{2} \log\left(x\right) - 12 \, a^{5}}{24 \, x^{2}}"," ",0,"1/24*(3*b^5*x^10 + 20*a*b^4*x^8 + 60*a^2*b^3*x^6 + 120*a^3*b^2*x^4 + 120*a^4*b*x^2*log(x) - 12*a^5)/x^2","A",0
61,1,61,0,1.320347," ","integrate((b*x^2+a)^5/x^5,x, algorithm=""fricas"")","\frac{2 \, b^{5} x^{10} + 15 \, a b^{4} x^{8} + 60 \, a^{2} b^{3} x^{6} + 120 \, a^{3} b^{2} x^{4} \log\left(x\right) - 30 \, a^{4} b x^{2} - 3 \, a^{5}}{12 \, x^{4}}"," ",0,"1/12*(2*b^5*x^10 + 15*a*b^4*x^8 + 60*a^2*b^3*x^6 + 120*a^3*b^2*x^4*log(x) - 30*a^4*b*x^2 - 3*a^5)/x^4","A",0
62,1,61,0,1.146615," ","integrate((b*x^2+a)^5/x^7,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{10} + 30 \, a b^{4} x^{8} + 120 \, a^{2} b^{3} x^{6} \log\left(x\right) - 60 \, a^{3} b^{2} x^{4} - 15 \, a^{4} b x^{2} - 2 \, a^{5}}{12 \, x^{6}}"," ",0,"1/12*(3*b^5*x^10 + 30*a*b^4*x^8 + 120*a^2*b^3*x^6*log(x) - 60*a^3*b^2*x^4 - 15*a^4*b*x^2 - 2*a^5)/x^6","A",0
63,1,61,0,0.843531," ","integrate((b*x^2+a)^5/x^9,x, algorithm=""fricas"")","\frac{12 \, b^{5} x^{10} + 120 \, a b^{4} x^{8} \log\left(x\right) - 120 \, a^{2} b^{3} x^{6} - 60 \, a^{3} b^{2} x^{4} - 20 \, a^{4} b x^{2} - 3 \, a^{5}}{24 \, x^{8}}"," ",0,"1/24*(12*b^5*x^10 + 120*a*b^4*x^8*log(x) - 120*a^2*b^3*x^6 - 60*a^3*b^2*x^4 - 20*a^4*b*x^2 - 3*a^5)/x^8","A",0
64,1,61,0,1.083657," ","integrate((b*x^2+a)^5/x^11,x, algorithm=""fricas"")","\frac{120 \, b^{5} x^{10} \log\left(x\right) - 300 \, a b^{4} x^{8} - 300 \, a^{2} b^{3} x^{6} - 200 \, a^{3} b^{2} x^{4} - 75 \, a^{4} b x^{2} - 12 \, a^{5}}{120 \, x^{10}}"," ",0,"1/120*(120*b^5*x^10*log(x) - 300*a*b^4*x^8 - 300*a^2*b^3*x^6 - 200*a^3*b^2*x^4 - 75*a^4*b*x^2 - 12*a^5)/x^10","A",0
65,1,57,0,0.604247," ","integrate((b*x^2+a)^5/x^13,x, algorithm=""fricas"")","-\frac{6 \, b^{5} x^{10} + 15 \, a b^{4} x^{8} + 20 \, a^{2} b^{3} x^{6} + 15 \, a^{3} b^{2} x^{4} + 6 \, a^{4} b x^{2} + a^{5}}{12 \, x^{12}}"," ",0,"-1/12*(6*b^5*x^10 + 15*a*b^4*x^8 + 20*a^2*b^3*x^6 + 15*a^3*b^2*x^4 + 6*a^4*b*x^2 + a^5)/x^12","B",0
66,1,59,0,0.881491," ","integrate((b*x^2+a)^5/x^15,x, algorithm=""fricas"")","-\frac{21 \, b^{5} x^{10} + 70 \, a b^{4} x^{8} + 105 \, a^{2} b^{3} x^{6} + 84 \, a^{3} b^{2} x^{4} + 35 \, a^{4} b x^{2} + 6 \, a^{5}}{84 \, x^{14}}"," ",0,"-1/84*(21*b^5*x^10 + 70*a*b^4*x^8 + 105*a^2*b^3*x^6 + 84*a^3*b^2*x^4 + 35*a^4*b*x^2 + 6*a^5)/x^14","A",0
67,1,59,0,1.012810," ","integrate((b*x^2+a)^5/x^17,x, algorithm=""fricas"")","-\frac{56 \, b^{5} x^{10} + 210 \, a b^{4} x^{8} + 336 \, a^{2} b^{3} x^{6} + 280 \, a^{3} b^{2} x^{4} + 120 \, a^{4} b x^{2} + 21 \, a^{5}}{336 \, x^{16}}"," ",0,"-1/336*(56*b^5*x^10 + 210*a*b^4*x^8 + 336*a^2*b^3*x^6 + 280*a^3*b^2*x^4 + 120*a^4*b*x^2 + 21*a^5)/x^16","A",0
68,1,59,0,1.123323," ","integrate((b*x^2+a)^5/x^19,x, algorithm=""fricas"")","-\frac{126 \, b^{5} x^{10} + 504 \, a b^{4} x^{8} + 840 \, a^{2} b^{3} x^{6} + 720 \, a^{3} b^{2} x^{4} + 315 \, a^{4} b x^{2} + 56 \, a^{5}}{1008 \, x^{18}}"," ",0,"-1/1008*(126*b^5*x^10 + 504*a*b^4*x^8 + 840*a^2*b^3*x^6 + 720*a^3*b^2*x^4 + 315*a^4*b*x^2 + 56*a^5)/x^18","A",0
69,1,59,0,0.667270," ","integrate((b*x^2+a)^5/x^21,x, algorithm=""fricas"")","-\frac{252 \, b^{5} x^{10} + 1050 \, a b^{4} x^{8} + 1800 \, a^{2} b^{3} x^{6} + 1575 \, a^{3} b^{2} x^{4} + 700 \, a^{4} b x^{2} + 126 \, a^{5}}{2520 \, x^{20}}"," ",0,"-1/2520*(252*b^5*x^10 + 1050*a*b^4*x^8 + 1800*a^2*b^3*x^6 + 1575*a^3*b^2*x^4 + 700*a^4*b*x^2 + 126*a^5)/x^20","A",0
70,1,57,0,0.499225," ","integrate(x^8*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{19} x^{19} b^{5} + \frac{5}{17} x^{17} b^{4} a + \frac{2}{3} x^{15} b^{3} a^{2} + \frac{10}{13} x^{13} b^{2} a^{3} + \frac{5}{11} x^{11} b a^{4} + \frac{1}{9} x^{9} a^{5}"," ",0,"1/19*x^19*b^5 + 5/17*x^17*b^4*a + 2/3*x^15*b^3*a^2 + 10/13*x^13*b^2*a^3 + 5/11*x^11*b*a^4 + 1/9*x^9*a^5","A",0
71,1,57,0,1.123414," ","integrate(x^6*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{17} x^{17} b^{5} + \frac{1}{3} x^{15} b^{4} a + \frac{10}{13} x^{13} b^{3} a^{2} + \frac{10}{11} x^{11} b^{2} a^{3} + \frac{5}{9} x^{9} b a^{4} + \frac{1}{7} x^{7} a^{5}"," ",0,"1/17*x^17*b^5 + 1/3*x^15*b^4*a + 10/13*x^13*b^3*a^2 + 10/11*x^11*b^2*a^3 + 5/9*x^9*b*a^4 + 1/7*x^7*a^5","A",0
72,1,57,0,0.905349," ","integrate(x^4*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{15} x^{15} b^{5} + \frac{5}{13} x^{13} b^{4} a + \frac{10}{11} x^{11} b^{3} a^{2} + \frac{10}{9} x^{9} b^{2} a^{3} + \frac{5}{7} x^{7} b a^{4} + \frac{1}{5} x^{5} a^{5}"," ",0,"1/15*x^15*b^5 + 5/13*x^13*b^4*a + 10/11*x^11*b^3*a^2 + 10/9*x^9*b^2*a^3 + 5/7*x^7*b*a^4 + 1/5*x^5*a^5","A",0
73,1,56,0,0.835152," ","integrate(x^2*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{13} x^{13} b^{5} + \frac{5}{11} x^{11} b^{4} a + \frac{10}{9} x^{9} b^{3} a^{2} + \frac{10}{7} x^{7} b^{2} a^{3} + x^{5} b a^{4} + \frac{1}{3} x^{3} a^{5}"," ",0,"1/13*x^13*b^5 + 5/11*x^11*b^4*a + 10/9*x^9*b^3*a^2 + 10/7*x^7*b^2*a^3 + x^5*b*a^4 + 1/3*x^3*a^5","A",0
74,1,54,0,0.813511," ","integrate((b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{11} x^{11} b^{5} + \frac{5}{9} x^{9} b^{4} a + \frac{10}{7} x^{7} b^{3} a^{2} + 2 x^{5} b^{2} a^{3} + \frac{5}{3} x^{3} b a^{4} + x a^{5}"," ",0,"1/11*x^11*b^5 + 5/9*x^9*b^4*a + 10/7*x^7*b^3*a^2 + 2*x^5*b^2*a^3 + 5/3*x^3*b*a^4 + x*a^5","A",0
75,1,59,0,0.712275," ","integrate((b*x^2+a)^5/x^2,x, algorithm=""fricas"")","\frac{7 \, b^{5} x^{10} + 45 \, a b^{4} x^{8} + 126 \, a^{2} b^{3} x^{6} + 210 \, a^{3} b^{2} x^{4} + 315 \, a^{4} b x^{2} - 63 \, a^{5}}{63 \, x}"," ",0,"1/63*(7*b^5*x^10 + 45*a*b^4*x^8 + 126*a^2*b^3*x^6 + 210*a^3*b^2*x^4 + 315*a^4*b*x^2 - 63*a^5)/x","A",0
76,1,59,0,1.075270," ","integrate((b*x^2+a)^5/x^4,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{10} + 21 \, a b^{4} x^{8} + 70 \, a^{2} b^{3} x^{6} + 210 \, a^{3} b^{2} x^{4} - 105 \, a^{4} b x^{2} - 7 \, a^{5}}{21 \, x^{3}}"," ",0,"1/21*(3*b^5*x^10 + 21*a*b^4*x^8 + 70*a^2*b^3*x^6 + 210*a^3*b^2*x^4 - 105*a^4*b*x^2 - 7*a^5)/x^3","A",0
77,1,59,0,0.996294," ","integrate((b*x^2+a)^5/x^6,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{10} + 25 \, a b^{4} x^{8} + 150 \, a^{2} b^{3} x^{6} - 150 \, a^{3} b^{2} x^{4} - 25 \, a^{4} b x^{2} - 3 \, a^{5}}{15 \, x^{5}}"," ",0,"1/15*(3*b^5*x^10 + 25*a*b^4*x^8 + 150*a^2*b^3*x^6 - 150*a^3*b^2*x^4 - 25*a^4*b*x^2 - 3*a^5)/x^5","A",0
78,1,59,0,1.036519," ","integrate((b*x^2+a)^5/x^8,x, algorithm=""fricas"")","\frac{7 \, b^{5} x^{10} + 105 \, a b^{4} x^{8} - 210 \, a^{2} b^{3} x^{6} - 70 \, a^{3} b^{2} x^{4} - 21 \, a^{4} b x^{2} - 3 \, a^{5}}{21 \, x^{7}}"," ",0,"1/21*(7*b^5*x^10 + 105*a*b^4*x^8 - 210*a^2*b^3*x^6 - 70*a^3*b^2*x^4 - 21*a^4*b*x^2 - 3*a^5)/x^7","A",0
79,1,59,0,1.059939," ","integrate((b*x^2+a)^5/x^10,x, algorithm=""fricas"")","\frac{63 \, b^{5} x^{10} - 315 \, a b^{4} x^{8} - 210 \, a^{2} b^{3} x^{6} - 126 \, a^{3} b^{2} x^{4} - 45 \, a^{4} b x^{2} - 7 \, a^{5}}{63 \, x^{9}}"," ",0,"1/63*(63*b^5*x^10 - 315*a*b^4*x^8 - 210*a^2*b^3*x^6 - 126*a^3*b^2*x^4 - 45*a^4*b*x^2 - 7*a^5)/x^9","A",0
80,1,59,0,0.727527," ","integrate((b*x^2+a)^5/x^12,x, algorithm=""fricas"")","-\frac{693 \, b^{5} x^{10} + 1155 \, a b^{4} x^{8} + 1386 \, a^{2} b^{3} x^{6} + 990 \, a^{3} b^{2} x^{4} + 385 \, a^{4} b x^{2} + 63 \, a^{5}}{693 \, x^{11}}"," ",0,"-1/693*(693*b^5*x^10 + 1155*a*b^4*x^8 + 1386*a^2*b^3*x^6 + 990*a^3*b^2*x^4 + 385*a^4*b*x^2 + 63*a^5)/x^11","A",0
81,1,59,0,0.866190," ","integrate((b*x^2+a)^5/x^14,x, algorithm=""fricas"")","-\frac{3003 \, b^{5} x^{10} + 9009 \, a b^{4} x^{8} + 12870 \, a^{2} b^{3} x^{6} + 10010 \, a^{3} b^{2} x^{4} + 4095 \, a^{4} b x^{2} + 693 \, a^{5}}{9009 \, x^{13}}"," ",0,"-1/9009*(3003*b^5*x^10 + 9009*a*b^4*x^8 + 12870*a^2*b^3*x^6 + 10010*a^3*b^2*x^4 + 4095*a^4*b*x^2 + 693*a^5)/x^13","A",0
82,1,59,0,0.658900," ","integrate((b*x^2+a)^5/x^16,x, algorithm=""fricas"")","-\frac{9009 \, b^{5} x^{10} + 32175 \, a b^{4} x^{8} + 50050 \, a^{2} b^{3} x^{6} + 40950 \, a^{3} b^{2} x^{4} + 17325 \, a^{4} b x^{2} + 3003 \, a^{5}}{45045 \, x^{15}}"," ",0,"-1/45045*(9009*b^5*x^10 + 32175*a*b^4*x^8 + 50050*a^2*b^3*x^6 + 40950*a^3*b^2*x^4 + 17325*a^4*b*x^2 + 3003*a^5)/x^15","A",0
83,1,59,0,1.098320," ","integrate((b*x^2+a)^5/x^18,x, algorithm=""fricas"")","-\frac{21879 \, b^{5} x^{10} + 85085 \, a b^{4} x^{8} + 139230 \, a^{2} b^{3} x^{6} + 117810 \, a^{3} b^{2} x^{4} + 51051 \, a^{4} b x^{2} + 9009 \, a^{5}}{153153 \, x^{17}}"," ",0,"-1/153153*(21879*b^5*x^10 + 85085*a*b^4*x^8 + 139230*a^2*b^3*x^6 + 117810*a^3*b^2*x^4 + 51051*a^4*b*x^2 + 9009*a^5)/x^17","A",0
84,1,59,0,1.076046," ","integrate((b*x^2+a)^5/x^20,x, algorithm=""fricas"")","-\frac{46189 \, b^{5} x^{10} + 188955 \, a b^{4} x^{8} + 319770 \, a^{2} b^{3} x^{6} + 277134 \, a^{3} b^{2} x^{4} + 122265 \, a^{4} b x^{2} + 21879 \, a^{5}}{415701 \, x^{19}}"," ",0,"-1/415701*(46189*b^5*x^10 + 188955*a*b^4*x^8 + 319770*a^2*b^3*x^6 + 277134*a^3*b^2*x^4 + 122265*a^4*b*x^2 + 21879*a^5)/x^19","A",0
85,1,90,0,0.710474," ","integrate(x^13*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{30} x^{30} b^{8} + \frac{2}{7} x^{28} b^{7} a + \frac{14}{13} x^{26} b^{6} a^{2} + \frac{7}{3} x^{24} b^{5} a^{3} + \frac{35}{11} x^{22} b^{4} a^{4} + \frac{14}{5} x^{20} b^{3} a^{5} + \frac{14}{9} x^{18} b^{2} a^{6} + \frac{1}{2} x^{16} b a^{7} + \frac{1}{14} x^{14} a^{8}"," ",0,"1/30*x^30*b^8 + 2/7*x^28*b^7*a + 14/13*x^26*b^6*a^2 + 7/3*x^24*b^5*a^3 + 35/11*x^22*b^4*a^4 + 14/5*x^20*b^3*a^5 + 14/9*x^18*b^2*a^6 + 1/2*x^16*b*a^7 + 1/14*x^14*a^8","A",0
86,1,90,0,1.079343," ","integrate(x^11*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{28} x^{28} b^{8} + \frac{4}{13} x^{26} b^{7} a + \frac{7}{6} x^{24} b^{6} a^{2} + \frac{28}{11} x^{22} b^{5} a^{3} + \frac{7}{2} x^{20} b^{4} a^{4} + \frac{28}{9} x^{18} b^{3} a^{5} + \frac{7}{4} x^{16} b^{2} a^{6} + \frac{4}{7} x^{14} b a^{7} + \frac{1}{12} x^{12} a^{8}"," ",0,"1/28*x^28*b^8 + 4/13*x^26*b^7*a + 7/6*x^24*b^6*a^2 + 28/11*x^22*b^5*a^3 + 7/2*x^20*b^4*a^4 + 28/9*x^18*b^3*a^5 + 7/4*x^16*b^2*a^6 + 4/7*x^14*b*a^7 + 1/12*x^12*a^8","A",0
87,1,90,0,0.926403," ","integrate(x^9*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{26} x^{26} b^{8} + \frac{1}{3} x^{24} b^{7} a + \frac{14}{11} x^{22} b^{6} a^{2} + \frac{14}{5} x^{20} b^{5} a^{3} + \frac{35}{9} x^{18} b^{4} a^{4} + \frac{7}{2} x^{16} b^{3} a^{5} + 2 x^{14} b^{2} a^{6} + \frac{2}{3} x^{12} b a^{7} + \frac{1}{10} x^{10} a^{8}"," ",0,"1/26*x^26*b^8 + 1/3*x^24*b^7*a + 14/11*x^22*b^6*a^2 + 14/5*x^20*b^5*a^3 + 35/9*x^18*b^4*a^4 + 7/2*x^16*b^3*a^5 + 2*x^14*b^2*a^6 + 2/3*x^12*b*a^7 + 1/10*x^10*a^8","A",0
88,1,90,0,0.875328," ","integrate(x^7*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{24} x^{24} b^{8} + \frac{4}{11} x^{22} b^{7} a + \frac{7}{5} x^{20} b^{6} a^{2} + \frac{28}{9} x^{18} b^{5} a^{3} + \frac{35}{8} x^{16} b^{4} a^{4} + 4 x^{14} b^{3} a^{5} + \frac{7}{3} x^{12} b^{2} a^{6} + \frac{4}{5} x^{10} b a^{7} + \frac{1}{8} x^{8} a^{8}"," ",0,"1/24*x^24*b^8 + 4/11*x^22*b^7*a + 7/5*x^20*b^6*a^2 + 28/9*x^18*b^5*a^3 + 35/8*x^16*b^4*a^4 + 4*x^14*b^3*a^5 + 7/3*x^12*b^2*a^6 + 4/5*x^10*b*a^7 + 1/8*x^8*a^8","A",0
89,1,89,0,0.984062," ","integrate(x^5*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{22} x^{22} b^{8} + \frac{2}{5} x^{20} b^{7} a + \frac{14}{9} x^{18} b^{6} a^{2} + \frac{7}{2} x^{16} b^{5} a^{3} + 5 x^{14} b^{4} a^{4} + \frac{14}{3} x^{12} b^{3} a^{5} + \frac{14}{5} x^{10} b^{2} a^{6} + x^{8} b a^{7} + \frac{1}{6} x^{6} a^{8}"," ",0,"1/22*x^22*b^8 + 2/5*x^20*b^7*a + 14/9*x^18*b^6*a^2 + 7/2*x^16*b^5*a^3 + 5*x^14*b^4*a^4 + 14/3*x^12*b^3*a^5 + 14/5*x^10*b^2*a^6 + x^8*b*a^7 + 1/6*x^6*a^8","A",0
90,1,90,0,0.939883," ","integrate(x^3*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{20} x^{20} b^{8} + \frac{4}{9} x^{18} b^{7} a + \frac{7}{4} x^{16} b^{6} a^{2} + 4 x^{14} b^{5} a^{3} + \frac{35}{6} x^{12} b^{4} a^{4} + \frac{28}{5} x^{10} b^{3} a^{5} + \frac{7}{2} x^{8} b^{2} a^{6} + \frac{4}{3} x^{6} b a^{7} + \frac{1}{4} x^{4} a^{8}"," ",0,"1/20*x^20*b^8 + 4/9*x^18*b^7*a + 7/4*x^16*b^6*a^2 + 4*x^14*b^5*a^3 + 35/6*x^12*b^4*a^4 + 28/5*x^10*b^3*a^5 + 7/2*x^8*b^2*a^6 + 4/3*x^6*b*a^7 + 1/4*x^4*a^8","B",0
91,1,90,0,1.146801," ","integrate(x*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{18} x^{18} b^{8} + \frac{1}{2} x^{16} b^{7} a + 2 x^{14} b^{6} a^{2} + \frac{14}{3} x^{12} b^{5} a^{3} + 7 x^{10} b^{4} a^{4} + 7 x^{8} b^{3} a^{5} + \frac{14}{3} x^{6} b^{2} a^{6} + 2 x^{4} b a^{7} + \frac{1}{2} x^{2} a^{8}"," ",0,"1/18*x^18*b^8 + 1/2*x^16*b^7*a + 2*x^14*b^6*a^2 + 14/3*x^12*b^5*a^3 + 7*x^10*b^4*a^4 + 7*x^8*b^3*a^5 + 14/3*x^6*b^2*a^6 + 2*x^4*b*a^7 + 1/2*x^2*a^8","B",0
92,1,88,0,1.102260," ","integrate((b*x^2+a)^8/x,x, algorithm=""fricas"")","\frac{1}{16} \, b^{8} x^{16} + \frac{4}{7} \, a b^{7} x^{14} + \frac{7}{3} \, a^{2} b^{6} x^{12} + \frac{28}{5} \, a^{3} b^{5} x^{10} + \frac{35}{4} \, a^{4} b^{4} x^{8} + \frac{28}{3} \, a^{5} b^{3} x^{6} + 7 \, a^{6} b^{2} x^{4} + 4 \, a^{7} b x^{2} + a^{8} \log\left(x\right)"," ",0,"1/16*b^8*x^16 + 4/7*a*b^7*x^14 + 7/3*a^2*b^6*x^12 + 28/5*a^3*b^5*x^10 + 35/4*a^4*b^4*x^8 + 28/3*a^5*b^3*x^6 + 7*a^6*b^2*x^4 + 4*a^7*b*x^2 + a^8*log(x)","A",0
93,1,94,0,1.174422," ","integrate((b*x^2+a)^8/x^3,x, algorithm=""fricas"")","\frac{15 \, b^{8} x^{16} + 140 \, a b^{7} x^{14} + 588 \, a^{2} b^{6} x^{12} + 1470 \, a^{3} b^{5} x^{10} + 2450 \, a^{4} b^{4} x^{8} + 2940 \, a^{5} b^{3} x^{6} + 2940 \, a^{6} b^{2} x^{4} + 1680 \, a^{7} b x^{2} \log\left(x\right) - 105 \, a^{8}}{210 \, x^{2}}"," ",0,"1/210*(15*b^8*x^16 + 140*a*b^7*x^14 + 588*a^2*b^6*x^12 + 1470*a^3*b^5*x^10 + 2450*a^4*b^4*x^8 + 2940*a^5*b^3*x^6 + 2940*a^6*b^2*x^4 + 1680*a^7*b*x^2*log(x) - 105*a^8)/x^2","A",0
94,1,94,0,1.392646," ","integrate((b*x^2+a)^8/x^5,x, algorithm=""fricas"")","\frac{5 \, b^{8} x^{16} + 48 \, a b^{7} x^{14} + 210 \, a^{2} b^{6} x^{12} + 560 \, a^{3} b^{5} x^{10} + 1050 \, a^{4} b^{4} x^{8} + 1680 \, a^{5} b^{3} x^{6} + 1680 \, a^{6} b^{2} x^{4} \log\left(x\right) - 240 \, a^{7} b x^{2} - 15 \, a^{8}}{60 \, x^{4}}"," ",0,"1/60*(5*b^8*x^16 + 48*a*b^7*x^14 + 210*a^2*b^6*x^12 + 560*a^3*b^5*x^10 + 1050*a^4*b^4*x^8 + 1680*a^5*b^3*x^6 + 1680*a^6*b^2*x^4*log(x) - 240*a^7*b*x^2 - 15*a^8)/x^4","A",0
95,1,94,0,1.294586," ","integrate((b*x^2+a)^8/x^7,x, algorithm=""fricas"")","\frac{3 \, b^{8} x^{16} + 30 \, a b^{7} x^{14} + 140 \, a^{2} b^{6} x^{12} + 420 \, a^{3} b^{5} x^{10} + 1050 \, a^{4} b^{4} x^{8} + 1680 \, a^{5} b^{3} x^{6} \log\left(x\right) - 420 \, a^{6} b^{2} x^{4} - 60 \, a^{7} b x^{2} - 5 \, a^{8}}{30 \, x^{6}}"," ",0,"1/30*(3*b^8*x^16 + 30*a*b^7*x^14 + 140*a^2*b^6*x^12 + 420*a^3*b^5*x^10 + 1050*a^4*b^4*x^8 + 1680*a^5*b^3*x^6*log(x) - 420*a^6*b^2*x^4 - 60*a^7*b*x^2 - 5*a^8)/x^6","A",0
96,1,94,0,1.444395," ","integrate((b*x^2+a)^8/x^9,x, algorithm=""fricas"")","\frac{3 \, b^{8} x^{16} + 32 \, a b^{7} x^{14} + 168 \, a^{2} b^{6} x^{12} + 672 \, a^{3} b^{5} x^{10} + 1680 \, a^{4} b^{4} x^{8} \log\left(x\right) - 672 \, a^{5} b^{3} x^{6} - 168 \, a^{6} b^{2} x^{4} - 32 \, a^{7} b x^{2} - 3 \, a^{8}}{24 \, x^{8}}"," ",0,"1/24*(3*b^8*x^16 + 32*a*b^7*x^14 + 168*a^2*b^6*x^12 + 672*a^3*b^5*x^10 + 1680*a^4*b^4*x^8*log(x) - 672*a^5*b^3*x^6 - 168*a^6*b^2*x^4 - 32*a^7*b*x^2 - 3*a^8)/x^8","A",0
97,1,94,0,1.378173," ","integrate((b*x^2+a)^8/x^11,x, algorithm=""fricas"")","\frac{5 \, b^{8} x^{16} + 60 \, a b^{7} x^{14} + 420 \, a^{2} b^{6} x^{12} + 1680 \, a^{3} b^{5} x^{10} \log\left(x\right) - 1050 \, a^{4} b^{4} x^{8} - 420 \, a^{5} b^{3} x^{6} - 140 \, a^{6} b^{2} x^{4} - 30 \, a^{7} b x^{2} - 3 \, a^{8}}{30 \, x^{10}}"," ",0,"1/30*(5*b^8*x^16 + 60*a*b^7*x^14 + 420*a^2*b^6*x^12 + 1680*a^3*b^5*x^10*log(x) - 1050*a^4*b^4*x^8 - 420*a^5*b^3*x^6 - 140*a^6*b^2*x^4 - 30*a^7*b*x^2 - 3*a^8)/x^10","A",0
98,1,94,0,0.814035," ","integrate((b*x^2+a)^8/x^13,x, algorithm=""fricas"")","\frac{15 \, b^{8} x^{16} + 240 \, a b^{7} x^{14} + 1680 \, a^{2} b^{6} x^{12} \log\left(x\right) - 1680 \, a^{3} b^{5} x^{10} - 1050 \, a^{4} b^{4} x^{8} - 560 \, a^{5} b^{3} x^{6} - 210 \, a^{6} b^{2} x^{4} - 48 \, a^{7} b x^{2} - 5 \, a^{8}}{60 \, x^{12}}"," ",0,"1/60*(15*b^8*x^16 + 240*a*b^7*x^14 + 1680*a^2*b^6*x^12*log(x) - 1680*a^3*b^5*x^10 - 1050*a^4*b^4*x^8 - 560*a^5*b^3*x^6 - 210*a^6*b^2*x^4 - 48*a^7*b*x^2 - 5*a^8)/x^12","A",0
99,1,94,0,1.537146," ","integrate((b*x^2+a)^8/x^15,x, algorithm=""fricas"")","\frac{105 \, b^{8} x^{16} + 1680 \, a b^{7} x^{14} \log\left(x\right) - 2940 \, a^{2} b^{6} x^{12} - 2940 \, a^{3} b^{5} x^{10} - 2450 \, a^{4} b^{4} x^{8} - 1470 \, a^{5} b^{3} x^{6} - 588 \, a^{6} b^{2} x^{4} - 140 \, a^{7} b x^{2} - 15 \, a^{8}}{210 \, x^{14}}"," ",0,"1/210*(105*b^8*x^16 + 1680*a*b^7*x^14*log(x) - 2940*a^2*b^6*x^12 - 2940*a^3*b^5*x^10 - 2450*a^4*b^4*x^8 - 1470*a^5*b^3*x^6 - 588*a^6*b^2*x^4 - 140*a^7*b*x^2 - 15*a^8)/x^14","A",0
100,1,94,0,0.898426," ","integrate((b*x^2+a)^8/x^17,x, algorithm=""fricas"")","\frac{1680 \, b^{8} x^{16} \log\left(x\right) - 6720 \, a b^{7} x^{14} - 11760 \, a^{2} b^{6} x^{12} - 15680 \, a^{3} b^{5} x^{10} - 14700 \, a^{4} b^{4} x^{8} - 9408 \, a^{5} b^{3} x^{6} - 3920 \, a^{6} b^{2} x^{4} - 960 \, a^{7} b x^{2} - 105 \, a^{8}}{1680 \, x^{16}}"," ",0,"1/1680*(1680*b^8*x^16*log(x) - 6720*a*b^7*x^14 - 11760*a^2*b^6*x^12 - 15680*a^3*b^5*x^10 - 14700*a^4*b^4*x^8 - 9408*a^5*b^3*x^6 - 3920*a^6*b^2*x^4 - 960*a^7*b*x^2 - 105*a^8)/x^16","A",0
101,1,90,0,0.773322," ","integrate((b*x^2+a)^8/x^19,x, algorithm=""fricas"")","-\frac{9 \, b^{8} x^{16} + 36 \, a b^{7} x^{14} + 84 \, a^{2} b^{6} x^{12} + 126 \, a^{3} b^{5} x^{10} + 126 \, a^{4} b^{4} x^{8} + 84 \, a^{5} b^{3} x^{6} + 36 \, a^{6} b^{2} x^{4} + 9 \, a^{7} b x^{2} + a^{8}}{18 \, x^{18}}"," ",0,"-1/18*(9*b^8*x^16 + 36*a*b^7*x^14 + 84*a^2*b^6*x^12 + 126*a^3*b^5*x^10 + 126*a^4*b^4*x^8 + 84*a^5*b^3*x^6 + 36*a^6*b^2*x^4 + 9*a^7*b*x^2 + a^8)/x^18","B",0
102,1,92,0,0.645256," ","integrate((b*x^2+a)^8/x^21,x, algorithm=""fricas"")","-\frac{45 \, b^{8} x^{16} + 240 \, a b^{7} x^{14} + 630 \, a^{2} b^{6} x^{12} + 1008 \, a^{3} b^{5} x^{10} + 1050 \, a^{4} b^{4} x^{8} + 720 \, a^{5} b^{3} x^{6} + 315 \, a^{6} b^{2} x^{4} + 80 \, a^{7} b x^{2} + 9 \, a^{8}}{180 \, x^{20}}"," ",0,"-1/180*(45*b^8*x^16 + 240*a*b^7*x^14 + 630*a^2*b^6*x^12 + 1008*a^3*b^5*x^10 + 1050*a^4*b^4*x^8 + 720*a^5*b^3*x^6 + 315*a^6*b^2*x^4 + 80*a^7*b*x^2 + 9*a^8)/x^20","B",0
103,1,92,0,1.078762," ","integrate((b*x^2+a)^8/x^23,x, algorithm=""fricas"")","-\frac{165 \, b^{8} x^{16} + 990 \, a b^{7} x^{14} + 2772 \, a^{2} b^{6} x^{12} + 4620 \, a^{3} b^{5} x^{10} + 4950 \, a^{4} b^{4} x^{8} + 3465 \, a^{5} b^{3} x^{6} + 1540 \, a^{6} b^{2} x^{4} + 396 \, a^{7} b x^{2} + 45 \, a^{8}}{990 \, x^{22}}"," ",0,"-1/990*(165*b^8*x^16 + 990*a*b^7*x^14 + 2772*a^2*b^6*x^12 + 4620*a^3*b^5*x^10 + 4950*a^4*b^4*x^8 + 3465*a^5*b^3*x^6 + 1540*a^6*b^2*x^4 + 396*a^7*b*x^2 + 45*a^8)/x^22","A",0
104,1,92,0,1.131994," ","integrate((b*x^2+a)^8/x^25,x, algorithm=""fricas"")","-\frac{495 \, b^{8} x^{16} + 3168 \, a b^{7} x^{14} + 9240 \, a^{2} b^{6} x^{12} + 15840 \, a^{3} b^{5} x^{10} + 17325 \, a^{4} b^{4} x^{8} + 12320 \, a^{5} b^{3} x^{6} + 5544 \, a^{6} b^{2} x^{4} + 1440 \, a^{7} b x^{2} + 165 \, a^{8}}{3960 \, x^{24}}"," ",0,"-1/3960*(495*b^8*x^16 + 3168*a*b^7*x^14 + 9240*a^2*b^6*x^12 + 15840*a^3*b^5*x^10 + 17325*a^4*b^4*x^8 + 12320*a^5*b^3*x^6 + 5544*a^6*b^2*x^4 + 1440*a^7*b*x^2 + 165*a^8)/x^24","A",0
105,1,92,0,1.116957," ","integrate((b*x^2+a)^8/x^27,x, algorithm=""fricas"")","-\frac{1287 \, b^{8} x^{16} + 8580 \, a b^{7} x^{14} + 25740 \, a^{2} b^{6} x^{12} + 45045 \, a^{3} b^{5} x^{10} + 50050 \, a^{4} b^{4} x^{8} + 36036 \, a^{5} b^{3} x^{6} + 16380 \, a^{6} b^{2} x^{4} + 4290 \, a^{7} b x^{2} + 495 \, a^{8}}{12870 \, x^{26}}"," ",0,"-1/12870*(1287*b^8*x^16 + 8580*a*b^7*x^14 + 25740*a^2*b^6*x^12 + 45045*a^3*b^5*x^10 + 50050*a^4*b^4*x^8 + 36036*a^5*b^3*x^6 + 16380*a^6*b^2*x^4 + 4290*a^7*b*x^2 + 495*a^8)/x^26","A",0
106,1,92,0,0.596927," ","integrate((b*x^2+a)^8/x^29,x, algorithm=""fricas"")","-\frac{3003 \, b^{8} x^{16} + 20592 \, a b^{7} x^{14} + 63063 \, a^{2} b^{6} x^{12} + 112112 \, a^{3} b^{5} x^{10} + 126126 \, a^{4} b^{4} x^{8} + 91728 \, a^{5} b^{3} x^{6} + 42042 \, a^{6} b^{2} x^{4} + 11088 \, a^{7} b x^{2} + 1287 \, a^{8}}{36036 \, x^{28}}"," ",0,"-1/36036*(3003*b^8*x^16 + 20592*a*b^7*x^14 + 63063*a^2*b^6*x^12 + 112112*a^3*b^5*x^10 + 126126*a^4*b^4*x^8 + 91728*a^5*b^3*x^6 + 42042*a^6*b^2*x^4 + 11088*a^7*b*x^2 + 1287*a^8)/x^28","A",0
107,1,92,0,0.591794," ","integrate((b*x^2+a)^8/x^31,x, algorithm=""fricas"")","-\frac{6435 \, b^{8} x^{16} + 45045 \, a b^{7} x^{14} + 140140 \, a^{2} b^{6} x^{12} + 252252 \, a^{3} b^{5} x^{10} + 286650 \, a^{4} b^{4} x^{8} + 210210 \, a^{5} b^{3} x^{6} + 97020 \, a^{6} b^{2} x^{4} + 25740 \, a^{7} b x^{2} + 3003 \, a^{8}}{90090 \, x^{30}}"," ",0,"-1/90090*(6435*b^8*x^16 + 45045*a*b^7*x^14 + 140140*a^2*b^6*x^12 + 252252*a^3*b^5*x^10 + 286650*a^4*b^4*x^8 + 210210*a^5*b^3*x^6 + 97020*a^6*b^2*x^4 + 25740*a^7*b*x^2 + 3003*a^8)/x^30","A",0
108,1,92,0,0.773670," ","integrate((b*x^2+a)^8/x^33,x, algorithm=""fricas"")","-\frac{12870 \, b^{8} x^{16} + 91520 \, a b^{7} x^{14} + 288288 \, a^{2} b^{6} x^{12} + 524160 \, a^{3} b^{5} x^{10} + 600600 \, a^{4} b^{4} x^{8} + 443520 \, a^{5} b^{3} x^{6} + 205920 \, a^{6} b^{2} x^{4} + 54912 \, a^{7} b x^{2} + 6435 \, a^{8}}{205920 \, x^{32}}"," ",0,"-1/205920*(12870*b^8*x^16 + 91520*a*b^7*x^14 + 288288*a^2*b^6*x^12 + 524160*a^3*b^5*x^10 + 600600*a^4*b^4*x^8 + 443520*a^5*b^3*x^6 + 205920*a^6*b^2*x^4 + 54912*a^7*b*x^2 + 6435*a^8)/x^32","A",0
109,1,90,0,0.549740," ","integrate(x^8*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{25} x^{25} b^{8} + \frac{8}{23} x^{23} b^{7} a + \frac{4}{3} x^{21} b^{6} a^{2} + \frac{56}{19} x^{19} b^{5} a^{3} + \frac{70}{17} x^{17} b^{4} a^{4} + \frac{56}{15} x^{15} b^{3} a^{5} + \frac{28}{13} x^{13} b^{2} a^{6} + \frac{8}{11} x^{11} b a^{7} + \frac{1}{9} x^{9} a^{8}"," ",0,"1/25*x^25*b^8 + 8/23*x^23*b^7*a + 4/3*x^21*b^6*a^2 + 56/19*x^19*b^5*a^3 + 70/17*x^17*b^4*a^4 + 56/15*x^15*b^3*a^5 + 28/13*x^13*b^2*a^6 + 8/11*x^11*b*a^7 + 1/9*x^9*a^8","A",0
110,1,90,0,0.530613," ","integrate(x^6*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{23} x^{23} b^{8} + \frac{8}{21} x^{21} b^{7} a + \frac{28}{19} x^{19} b^{6} a^{2} + \frac{56}{17} x^{17} b^{5} a^{3} + \frac{14}{3} x^{15} b^{4} a^{4} + \frac{56}{13} x^{13} b^{3} a^{5} + \frac{28}{11} x^{11} b^{2} a^{6} + \frac{8}{9} x^{9} b a^{7} + \frac{1}{7} x^{7} a^{8}"," ",0,"1/23*x^23*b^8 + 8/21*x^21*b^7*a + 28/19*x^19*b^6*a^2 + 56/17*x^17*b^5*a^3 + 14/3*x^15*b^4*a^4 + 56/13*x^13*b^3*a^5 + 28/11*x^11*b^2*a^6 + 8/9*x^9*b*a^7 + 1/7*x^7*a^8","A",0
111,1,90,0,0.527280," ","integrate(x^4*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{21} x^{21} b^{8} + \frac{8}{19} x^{19} b^{7} a + \frac{28}{17} x^{17} b^{6} a^{2} + \frac{56}{15} x^{15} b^{5} a^{3} + \frac{70}{13} x^{13} b^{4} a^{4} + \frac{56}{11} x^{11} b^{3} a^{5} + \frac{28}{9} x^{9} b^{2} a^{6} + \frac{8}{7} x^{7} b a^{7} + \frac{1}{5} x^{5} a^{8}"," ",0,"1/21*x^21*b^8 + 8/19*x^19*b^7*a + 28/17*x^17*b^6*a^2 + 56/15*x^15*b^5*a^3 + 70/13*x^13*b^4*a^4 + 56/11*x^11*b^3*a^5 + 28/9*x^9*b^2*a^6 + 8/7*x^7*b*a^7 + 1/5*x^5*a^8","A",0
112,1,90,0,0.407320," ","integrate(x^2*(b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{19} x^{19} b^{8} + \frac{8}{17} x^{17} b^{7} a + \frac{28}{15} x^{15} b^{6} a^{2} + \frac{56}{13} x^{13} b^{5} a^{3} + \frac{70}{11} x^{11} b^{4} a^{4} + \frac{56}{9} x^{9} b^{3} a^{5} + 4 x^{7} b^{2} a^{6} + \frac{8}{5} x^{5} b a^{7} + \frac{1}{3} x^{3} a^{8}"," ",0,"1/19*x^19*b^8 + 8/17*x^17*b^7*a + 28/15*x^15*b^6*a^2 + 56/13*x^13*b^5*a^3 + 70/11*x^11*b^4*a^4 + 56/9*x^9*b^3*a^5 + 4*x^7*b^2*a^6 + 8/5*x^5*b*a^7 + 1/3*x^3*a^8","A",0
113,1,87,0,0.772846," ","integrate((b*x^2+a)^8,x, algorithm=""fricas"")","\frac{1}{17} x^{17} b^{8} + \frac{8}{15} x^{15} b^{7} a + \frac{28}{13} x^{13} b^{6} a^{2} + \frac{56}{11} x^{11} b^{5} a^{3} + \frac{70}{9} x^{9} b^{4} a^{4} + 8 x^{7} b^{3} a^{5} + \frac{28}{5} x^{5} b^{2} a^{6} + \frac{8}{3} x^{3} b a^{7} + x a^{8}"," ",0,"1/17*x^17*b^8 + 8/15*x^15*b^7*a + 28/13*x^13*b^6*a^2 + 56/11*x^11*b^5*a^3 + 70/9*x^9*b^4*a^4 + 8*x^7*b^3*a^5 + 28/5*x^5*b^2*a^6 + 8/3*x^3*b*a^7 + x*a^8","A",0
114,1,92,0,1.002434," ","integrate((b*x^2+a)^8/x^2,x, algorithm=""fricas"")","\frac{429 \, b^{8} x^{16} + 3960 \, a b^{7} x^{14} + 16380 \, a^{2} b^{6} x^{12} + 40040 \, a^{3} b^{5} x^{10} + 64350 \, a^{4} b^{4} x^{8} + 72072 \, a^{5} b^{3} x^{6} + 60060 \, a^{6} b^{2} x^{4} + 51480 \, a^{7} b x^{2} - 6435 \, a^{8}}{6435 \, x}"," ",0,"1/6435*(429*b^8*x^16 + 3960*a*b^7*x^14 + 16380*a^2*b^6*x^12 + 40040*a^3*b^5*x^10 + 64350*a^4*b^4*x^8 + 72072*a^5*b^3*x^6 + 60060*a^6*b^2*x^4 + 51480*a^7*b*x^2 - 6435*a^8)/x","A",0
115,1,92,0,1.025260," ","integrate((b*x^2+a)^8/x^4,x, algorithm=""fricas"")","\frac{99 \, b^{8} x^{16} + 936 \, a b^{7} x^{14} + 4004 \, a^{2} b^{6} x^{12} + 10296 \, a^{3} b^{5} x^{10} + 18018 \, a^{4} b^{4} x^{8} + 24024 \, a^{5} b^{3} x^{6} + 36036 \, a^{6} b^{2} x^{4} - 10296 \, a^{7} b x^{2} - 429 \, a^{8}}{1287 \, x^{3}}"," ",0,"1/1287*(99*b^8*x^16 + 936*a*b^7*x^14 + 4004*a^2*b^6*x^12 + 10296*a^3*b^5*x^10 + 18018*a^4*b^4*x^8 + 24024*a^5*b^3*x^6 + 36036*a^6*b^2*x^4 - 10296*a^7*b*x^2 - 429*a^8)/x^3","A",0
116,1,92,0,1.113803," ","integrate((b*x^2+a)^8/x^6,x, algorithm=""fricas"")","\frac{45 \, b^{8} x^{16} + 440 \, a b^{7} x^{14} + 1980 \, a^{2} b^{6} x^{12} + 5544 \, a^{3} b^{5} x^{10} + 11550 \, a^{4} b^{4} x^{8} + 27720 \, a^{5} b^{3} x^{6} - 13860 \, a^{6} b^{2} x^{4} - 1320 \, a^{7} b x^{2} - 99 \, a^{8}}{495 \, x^{5}}"," ",0,"1/495*(45*b^8*x^16 + 440*a*b^7*x^14 + 1980*a^2*b^6*x^12 + 5544*a^3*b^5*x^10 + 11550*a^4*b^4*x^8 + 27720*a^5*b^3*x^6 - 13860*a^6*b^2*x^4 - 1320*a^7*b*x^2 - 99*a^8)/x^5","A",0
117,1,92,0,1.140124," ","integrate((b*x^2+a)^8/x^8,x, algorithm=""fricas"")","\frac{35 \, b^{8} x^{16} + 360 \, a b^{7} x^{14} + 1764 \, a^{2} b^{6} x^{12} + 5880 \, a^{3} b^{5} x^{10} + 22050 \, a^{4} b^{4} x^{8} - 17640 \, a^{5} b^{3} x^{6} - 2940 \, a^{6} b^{2} x^{4} - 504 \, a^{7} b x^{2} - 45 \, a^{8}}{315 \, x^{7}}"," ",0,"1/315*(35*b^8*x^16 + 360*a*b^7*x^14 + 1764*a^2*b^6*x^12 + 5880*a^3*b^5*x^10 + 22050*a^4*b^4*x^8 - 17640*a^5*b^3*x^6 - 2940*a^6*b^2*x^4 - 504*a^7*b*x^2 - 45*a^8)/x^7","A",0
118,1,92,0,0.958939," ","integrate((b*x^2+a)^8/x^10,x, algorithm=""fricas"")","\frac{45 \, b^{8} x^{16} + 504 \, a b^{7} x^{14} + 2940 \, a^{2} b^{6} x^{12} + 17640 \, a^{3} b^{5} x^{10} - 22050 \, a^{4} b^{4} x^{8} - 5880 \, a^{5} b^{3} x^{6} - 1764 \, a^{6} b^{2} x^{4} - 360 \, a^{7} b x^{2} - 35 \, a^{8}}{315 \, x^{9}}"," ",0,"1/315*(45*b^8*x^16 + 504*a*b^7*x^14 + 2940*a^2*b^6*x^12 + 17640*a^3*b^5*x^10 - 22050*a^4*b^4*x^8 - 5880*a^5*b^3*x^6 - 1764*a^6*b^2*x^4 - 360*a^7*b*x^2 - 35*a^8)/x^9","A",0
119,1,92,0,1.156537," ","integrate((b*x^2+a)^8/x^12,x, algorithm=""fricas"")","\frac{99 \, b^{8} x^{16} + 1320 \, a b^{7} x^{14} + 13860 \, a^{2} b^{6} x^{12} - 27720 \, a^{3} b^{5} x^{10} - 11550 \, a^{4} b^{4} x^{8} - 5544 \, a^{5} b^{3} x^{6} - 1980 \, a^{6} b^{2} x^{4} - 440 \, a^{7} b x^{2} - 45 \, a^{8}}{495 \, x^{11}}"," ",0,"1/495*(99*b^8*x^16 + 1320*a*b^7*x^14 + 13860*a^2*b^6*x^12 - 27720*a^3*b^5*x^10 - 11550*a^4*b^4*x^8 - 5544*a^5*b^3*x^6 - 1980*a^6*b^2*x^4 - 440*a^7*b*x^2 - 45*a^8)/x^11","A",0
120,1,92,0,1.290991," ","integrate((b*x^2+a)^8/x^14,x, algorithm=""fricas"")","\frac{429 \, b^{8} x^{16} + 10296 \, a b^{7} x^{14} - 36036 \, a^{2} b^{6} x^{12} - 24024 \, a^{3} b^{5} x^{10} - 18018 \, a^{4} b^{4} x^{8} - 10296 \, a^{5} b^{3} x^{6} - 4004 \, a^{6} b^{2} x^{4} - 936 \, a^{7} b x^{2} - 99 \, a^{8}}{1287 \, x^{13}}"," ",0,"1/1287*(429*b^8*x^16 + 10296*a*b^7*x^14 - 36036*a^2*b^6*x^12 - 24024*a^3*b^5*x^10 - 18018*a^4*b^4*x^8 - 10296*a^5*b^3*x^6 - 4004*a^6*b^2*x^4 - 936*a^7*b*x^2 - 99*a^8)/x^13","A",0
121,1,92,0,1.022956," ","integrate((b*x^2+a)^8/x^16,x, algorithm=""fricas"")","\frac{6435 \, b^{8} x^{16} - 51480 \, a b^{7} x^{14} - 60060 \, a^{2} b^{6} x^{12} - 72072 \, a^{3} b^{5} x^{10} - 64350 \, a^{4} b^{4} x^{8} - 40040 \, a^{5} b^{3} x^{6} - 16380 \, a^{6} b^{2} x^{4} - 3960 \, a^{7} b x^{2} - 429 \, a^{8}}{6435 \, x^{15}}"," ",0,"1/6435*(6435*b^8*x^16 - 51480*a*b^7*x^14 - 60060*a^2*b^6*x^12 - 72072*a^3*b^5*x^10 - 64350*a^4*b^4*x^8 - 40040*a^5*b^3*x^6 - 16380*a^6*b^2*x^4 - 3960*a^7*b*x^2 - 429*a^8)/x^15","A",0
122,1,92,0,1.075017," ","integrate((b*x^2+a)^8/x^18,x, algorithm=""fricas"")","-\frac{109395 \, b^{8} x^{16} + 291720 \, a b^{7} x^{14} + 612612 \, a^{2} b^{6} x^{12} + 875160 \, a^{3} b^{5} x^{10} + 850850 \, a^{4} b^{4} x^{8} + 556920 \, a^{5} b^{3} x^{6} + 235620 \, a^{6} b^{2} x^{4} + 58344 \, a^{7} b x^{2} + 6435 \, a^{8}}{109395 \, x^{17}}"," ",0,"-1/109395*(109395*b^8*x^16 + 291720*a*b^7*x^14 + 612612*a^2*b^6*x^12 + 875160*a^3*b^5*x^10 + 850850*a^4*b^4*x^8 + 556920*a^5*b^3*x^6 + 235620*a^6*b^2*x^4 + 58344*a^7*b*x^2 + 6435*a^8)/x^17","A",0
123,1,92,0,1.098620," ","integrate((b*x^2+a)^8/x^20,x, algorithm=""fricas"")","-\frac{692835 \, b^{8} x^{16} + 3325608 \, a b^{7} x^{14} + 8314020 \, a^{2} b^{6} x^{12} + 12932920 \, a^{3} b^{5} x^{10} + 13226850 \, a^{4} b^{4} x^{8} + 8953560 \, a^{5} b^{3} x^{6} + 3879876 \, a^{6} b^{2} x^{4} + 978120 \, a^{7} b x^{2} + 109395 \, a^{8}}{2078505 \, x^{19}}"," ",0,"-1/2078505*(692835*b^8*x^16 + 3325608*a*b^7*x^14 + 8314020*a^2*b^6*x^12 + 12932920*a^3*b^5*x^10 + 13226850*a^4*b^4*x^8 + 8953560*a^5*b^3*x^6 + 3879876*a^6*b^2*x^4 + 978120*a^7*b*x^2 + 109395*a^8)/x^19","A",0
124,1,67,0,1.164294," ","integrate(x^11/(b*x^2+a),x, algorithm=""fricas"")","\frac{12 \, b^{5} x^{10} - 15 \, a b^{4} x^{8} + 20 \, a^{2} b^{3} x^{6} - 30 \, a^{3} b^{2} x^{4} + 60 \, a^{4} b x^{2} - 60 \, a^{5} \log\left(b x^{2} + a\right)}{120 \, b^{6}}"," ",0,"1/120*(12*b^5*x^10 - 15*a*b^4*x^8 + 20*a^2*b^3*x^6 - 30*a^3*b^2*x^4 + 60*a^4*b*x^2 - 60*a^5*log(b*x^2 + a))/b^6","A",0
125,1,170,0,1.003581," ","integrate(x^10/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{70 \, b^{4} x^{9} - 90 \, a b^{3} x^{7} + 126 \, a^{2} b^{2} x^{5} - 210 \, a^{3} b x^{3} + 315 \, a^{4} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) + 630 \, a^{4} x}{630 \, b^{5}}, \frac{35 \, b^{4} x^{9} - 45 \, a b^{3} x^{7} + 63 \, a^{2} b^{2} x^{5} - 105 \, a^{3} b x^{3} - 315 \, a^{4} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) + 315 \, a^{4} x}{315 \, b^{5}}\right]"," ",0,"[1/630*(70*b^4*x^9 - 90*a*b^3*x^7 + 126*a^2*b^2*x^5 - 210*a^3*b*x^3 + 315*a^4*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) + 630*a^4*x)/b^5, 1/315*(35*b^4*x^9 - 45*a*b^3*x^7 + 63*a^2*b^2*x^5 - 105*a^3*b*x^3 - 315*a^4*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) + 315*a^4*x)/b^5]","A",0
126,1,56,0,0.978490," ","integrate(x^9/(b*x^2+a),x, algorithm=""fricas"")","\frac{3 \, b^{4} x^{8} - 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 12 \, a^{3} b x^{2} + 12 \, a^{4} \log\left(b x^{2} + a\right)}{24 \, b^{5}}"," ",0,"1/24*(3*b^4*x^8 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4 - 12*a^3*b*x^2 + 12*a^4*log(b*x^2 + a))/b^5","A",0
127,1,148,0,0.969818," ","integrate(x^8/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{30 \, b^{3} x^{7} - 42 \, a b^{2} x^{5} + 70 \, a^{2} b x^{3} + 105 \, a^{3} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) - 210 \, a^{3} x}{210 \, b^{4}}, \frac{15 \, b^{3} x^{7} - 21 \, a b^{2} x^{5} + 35 \, a^{2} b x^{3} + 105 \, a^{3} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) - 105 \, a^{3} x}{105 \, b^{4}}\right]"," ",0,"[1/210*(30*b^3*x^7 - 42*a*b^2*x^5 + 70*a^2*b*x^3 + 105*a^3*sqrt(-a/b)*log((b*x^2 + 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) - 210*a^3*x)/b^4, 1/105*(15*b^3*x^7 - 21*a*b^2*x^5 + 35*a^2*b*x^3 + 105*a^3*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) - 105*a^3*x)/b^4]","A",0
128,1,45,0,0.928626," ","integrate(x^7/(b*x^2+a),x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{6} - 3 \, a b^{2} x^{4} + 6 \, a^{2} b x^{2} - 6 \, a^{3} \log\left(b x^{2} + a\right)}{12 \, b^{4}}"," ",0,"1/12*(2*b^3*x^6 - 3*a*b^2*x^4 + 6*a^2*b*x^2 - 6*a^3*log(b*x^2 + a))/b^4","A",0
129,1,126,0,1.256898," ","integrate(x^6/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{6 \, b^{2} x^{5} - 10 \, a b x^{3} + 15 \, a^{2} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) + 30 \, a^{2} x}{30 \, b^{3}}, \frac{3 \, b^{2} x^{5} - 5 \, a b x^{3} - 15 \, a^{2} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) + 15 \, a^{2} x}{15 \, b^{3}}\right]"," ",0,"[1/30*(6*b^2*x^5 - 10*a*b*x^3 + 15*a^2*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) + 30*a^2*x)/b^3, 1/15*(3*b^2*x^5 - 5*a*b*x^3 - 15*a^2*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) + 15*a^2*x)/b^3]","A",0
130,1,33,0,0.920605," ","integrate(x^5/(b*x^2+a),x, algorithm=""fricas"")","\frac{b^{2} x^{4} - 2 \, a b x^{2} + 2 \, a^{2} \log\left(b x^{2} + a\right)}{4 \, b^{3}}"," ",0,"1/4*(b^2*x^4 - 2*a*b*x^2 + 2*a^2*log(b*x^2 + a))/b^3","A",0
131,1,99,0,0.667989," ","integrate(x^4/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{2 \, b x^{3} + 3 \, a \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) - 6 \, a x}{6 \, b^{2}}, \frac{b x^{3} + 3 \, a \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) - 3 \, a x}{3 \, b^{2}}\right]"," ",0,"[1/6*(2*b*x^3 + 3*a*sqrt(-a/b)*log((b*x^2 + 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) - 6*a*x)/b^2, 1/3*(b*x^3 + 3*a*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) - 3*a*x)/b^2]","A",0
132,1,22,0,0.955609," ","integrate(x^3/(b*x^2+a),x, algorithm=""fricas"")","\frac{b x^{2} - a \log\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*(b*x^2 - a*log(b*x^2 + a))/b^2","A",0
133,1,82,0,0.831042," ","integrate(x^2/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) + 2 \, x}{2 \, b}, -\frac{\sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) - x}{b}\right]"," ",0,"[1/2*(sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) + 2*x)/b, -(sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) - x)/b]","A",0
134,1,13,0,0.865136," ","integrate(x/(b*x^2+a),x, algorithm=""fricas"")","\frac{\log\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*log(b*x^2 + a)/b","A",0
135,1,67,0,0.894965," ","integrate(1/(b*x^2+a),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{2 \, a b}, \frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{a b}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a))/(a*b), sqrt(a*b)*arctan(sqrt(a*b)*x/a)/(a*b)]","A",0
136,1,18,0,1.371002," ","integrate(1/x/(b*x^2+a),x, algorithm=""fricas"")","-\frac{\log\left(b x^{2} + a\right) - 2 \, \log\left(x\right)}{2 \, a}"," ",0,"-1/2*(log(b*x^2 + a) - 2*log(x))/a","A",0
137,1,82,0,1.255945," ","integrate(1/x^2/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{x \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) - 2}{2 \, a x}, -\frac{x \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 1}{a x}\right]"," ",0,"[1/2*(x*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) - 2)/(a*x), -(x*sqrt(b/a)*arctan(x*sqrt(b/a)) + 1)/(a*x)]","A",0
138,1,33,0,1.237942," ","integrate(1/x^3/(b*x^2+a),x, algorithm=""fricas"")","\frac{b x^{2} \log\left(b x^{2} + a\right) - 2 \, b x^{2} \log\left(x\right) - a}{2 \, a^{2} x^{2}}"," ",0,"1/2*(b*x^2*log(b*x^2 + a) - 2*b*x^2*log(x) - a)/(a^2*x^2)","A",0
139,1,106,0,0.984665," ","integrate(1/x^4/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{3 \, b x^{3} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) + 6 \, b x^{2} - 2 \, a}{6 \, a^{2} x^{3}}, \frac{3 \, b x^{3} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 3 \, b x^{2} - a}{3 \, a^{2} x^{3}}\right]"," ",0,"[1/6*(3*b*x^3*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) + 6*b*x^2 - 2*a)/(a^2*x^3), 1/3*(3*b*x^3*sqrt(b/a)*arctan(x*sqrt(b/a)) + 3*b*x^2 - a)/(a^2*x^3)]","A",0
140,1,45,0,1.036962," ","integrate(1/x^5/(b*x^2+a),x, algorithm=""fricas"")","-\frac{2 \, b^{2} x^{4} \log\left(b x^{2} + a\right) - 4 \, b^{2} x^{4} \log\left(x\right) - 2 \, a b x^{2} + a^{2}}{4 \, a^{3} x^{4}}"," ",0,"-1/4*(2*b^2*x^4*log(b*x^2 + a) - 4*b^2*x^4*log(x) - 2*a*b*x^2 + a^2)/(a^3*x^4)","A",0
141,1,132,0,0.910758," ","integrate(1/x^6/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{15 \, b^{2} x^{5} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) - 30 \, b^{2} x^{4} + 10 \, a b x^{2} - 6 \, a^{2}}{30 \, a^{3} x^{5}}, -\frac{15 \, b^{2} x^{5} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 15 \, b^{2} x^{4} - 5 \, a b x^{2} + 3 \, a^{2}}{15 \, a^{3} x^{5}}\right]"," ",0,"[1/30*(15*b^2*x^5*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) - 30*b^2*x^4 + 10*a*b*x^2 - 6*a^2)/(a^3*x^5), -1/15*(15*b^2*x^5*sqrt(b/a)*arctan(x*sqrt(b/a)) + 15*b^2*x^4 - 5*a*b*x^2 + 3*a^2)/(a^3*x^5)]","A",0
142,1,58,0,1.086429," ","integrate(1/x^7/(b*x^2+a),x, algorithm=""fricas"")","\frac{6 \, b^{3} x^{6} \log\left(b x^{2} + a\right) - 12 \, b^{3} x^{6} \log\left(x\right) - 6 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} - 2 \, a^{3}}{12 \, a^{4} x^{6}}"," ",0,"1/12*(6*b^3*x^6*log(b*x^2 + a) - 12*b^3*x^6*log(x) - 6*a*b^2*x^4 + 3*a^2*b*x^2 - 2*a^3)/(a^4*x^6)","A",0
143,1,154,0,1.129603," ","integrate(1/x^8/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{105 \, b^{3} x^{7} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) + 210 \, b^{3} x^{6} - 70 \, a b^{2} x^{4} + 42 \, a^{2} b x^{2} - 30 \, a^{3}}{210 \, a^{4} x^{7}}, \frac{105 \, b^{3} x^{7} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 105 \, b^{3} x^{6} - 35 \, a b^{2} x^{4} + 21 \, a^{2} b x^{2} - 15 \, a^{3}}{105 \, a^{4} x^{7}}\right]"," ",0,"[1/210*(105*b^3*x^7*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) + 210*b^3*x^6 - 70*a*b^2*x^4 + 42*a^2*b*x^2 - 30*a^3)/(a^4*x^7), 1/105*(105*b^3*x^7*sqrt(b/a)*arctan(x*sqrt(b/a)) + 105*b^3*x^6 - 35*a*b^2*x^4 + 21*a^2*b*x^2 - 15*a^3)/(a^4*x^7)]","A",0
144,1,69,0,0.741839," ","integrate(1/x^9/(b*x^2+a),x, algorithm=""fricas"")","-\frac{12 \, b^{4} x^{8} \log\left(b x^{2} + a\right) - 24 \, b^{4} x^{8} \log\left(x\right) - 12 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + 3 \, a^{4}}{24 \, a^{5} x^{8}}"," ",0,"-1/24*(12*b^4*x^8*log(b*x^2 + a) - 24*b^4*x^8*log(x) - 12*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + 3*a^4)/(a^5*x^8)","A",0
145,1,104,0,0.849113," ","integrate(x^13/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{6} x^{12} - 3 \, a b^{5} x^{10} + 5 \, a^{2} b^{4} x^{8} - 10 \, a^{3} b^{3} x^{6} + 30 \, a^{4} b^{2} x^{4} + 50 \, a^{5} b x^{2} - 10 \, a^{6} - 60 \, {\left(a^{5} b x^{2} + a^{6}\right)} \log\left(b x^{2} + a\right)}{20 \, {\left(b^{8} x^{2} + a b^{7}\right)}}"," ",0,"1/20*(2*b^6*x^12 - 3*a*b^5*x^10 + 5*a^2*b^4*x^8 - 10*a^3*b^3*x^6 + 30*a^4*b^2*x^4 + 50*a^5*b*x^2 - 10*a^6 - 60*(a^5*b*x^2 + a^6)*log(b*x^2 + a))/(b^8*x^2 + a*b^7)","A",0
146,1,234,0,0.969866," ","integrate(x^12/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{140 \, b^{5} x^{11} - 220 \, a b^{4} x^{9} + 396 \, a^{2} b^{3} x^{7} - 924 \, a^{3} b^{2} x^{5} + 4620 \, a^{4} b x^{3} + 6930 \, a^{5} x + 3465 \, {\left(a^{4} b x^{2} + a^{5}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{1260 \, {\left(b^{7} x^{2} + a b^{6}\right)}}, \frac{70 \, b^{5} x^{11} - 110 \, a b^{4} x^{9} + 198 \, a^{2} b^{3} x^{7} - 462 \, a^{3} b^{2} x^{5} + 2310 \, a^{4} b x^{3} + 3465 \, a^{5} x - 3465 \, {\left(a^{4} b x^{2} + a^{5}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{630 \, {\left(b^{7} x^{2} + a b^{6}\right)}}\right]"," ",0,"[1/1260*(140*b^5*x^11 - 220*a*b^4*x^9 + 396*a^2*b^3*x^7 - 924*a^3*b^2*x^5 + 4620*a^4*b*x^3 + 6930*a^5*x + 3465*(a^4*b*x^2 + a^5)*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^7*x^2 + a*b^6), 1/630*(70*b^5*x^11 - 110*a*b^4*x^9 + 198*a^2*b^3*x^7 - 462*a^3*b^2*x^5 + 2310*a^4*b*x^3 + 3465*a^5*x - 3465*(a^4*b*x^2 + a^5)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^7*x^2 + a*b^6)]","A",0
147,1,93,0,0.985937," ","integrate(x^11/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{10} - 5 \, a b^{4} x^{8} + 10 \, a^{2} b^{3} x^{6} - 30 \, a^{3} b^{2} x^{4} - 48 \, a^{4} b x^{2} + 12 \, a^{5} + 60 \, {\left(a^{4} b x^{2} + a^{5}\right)} \log\left(b x^{2} + a\right)}{24 \, {\left(b^{7} x^{2} + a b^{6}\right)}}"," ",0,"1/24*(3*b^5*x^10 - 5*a*b^4*x^8 + 10*a^2*b^3*x^6 - 30*a^3*b^2*x^4 - 48*a^4*b*x^2 + 12*a^5 + 60*(a^4*b*x^2 + a^5)*log(b*x^2 + a))/(b^7*x^2 + a*b^6)","A",0
148,1,212,0,0.780481," ","integrate(x^10/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{20 \, b^{4} x^{9} - 36 \, a b^{3} x^{7} + 84 \, a^{2} b^{2} x^{5} - 420 \, a^{3} b x^{3} - 630 \, a^{4} x + 315 \, {\left(a^{3} b x^{2} + a^{4}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{140 \, {\left(b^{6} x^{2} + a b^{5}\right)}}, \frac{10 \, b^{4} x^{9} - 18 \, a b^{3} x^{7} + 42 \, a^{2} b^{2} x^{5} - 210 \, a^{3} b x^{3} - 315 \, a^{4} x + 315 \, {\left(a^{3} b x^{2} + a^{4}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{70 \, {\left(b^{6} x^{2} + a b^{5}\right)}}\right]"," ",0,"[1/140*(20*b^4*x^9 - 36*a*b^3*x^7 + 84*a^2*b^2*x^5 - 420*a^3*b*x^3 - 630*a^4*x + 315*(a^3*b*x^2 + a^4)*sqrt(-a/b)*log((b*x^2 + 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^6*x^2 + a*b^5), 1/70*(10*b^4*x^9 - 18*a*b^3*x^7 + 42*a^2*b^2*x^5 - 210*a^3*b*x^3 - 315*a^4*x + 315*(a^3*b*x^2 + a^4)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^6*x^2 + a*b^5)]","A",0
149,1,81,0,1.304737," ","integrate(x^9/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{b^{4} x^{8} - 2 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} + 9 \, a^{3} b x^{2} - 3 \, a^{4} - 12 \, {\left(a^{3} b x^{2} + a^{4}\right)} \log\left(b x^{2} + a\right)}{6 \, {\left(b^{6} x^{2} + a b^{5}\right)}}"," ",0,"1/6*(b^4*x^8 - 2*a*b^3*x^6 + 6*a^2*b^2*x^4 + 9*a^3*b*x^2 - 3*a^4 - 12*(a^3*b*x^2 + a^4)*log(b*x^2 + a))/(b^6*x^2 + a*b^5)","A",0
150,1,190,0,1.431062," ","integrate(x^8/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{12 \, b^{3} x^{7} - 28 \, a b^{2} x^{5} + 140 \, a^{2} b x^{3} + 210 \, a^{3} x + 105 \, {\left(a^{2} b x^{2} + a^{3}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{60 \, {\left(b^{5} x^{2} + a b^{4}\right)}}, \frac{6 \, b^{3} x^{7} - 14 \, a b^{2} x^{5} + 70 \, a^{2} b x^{3} + 105 \, a^{3} x - 105 \, {\left(a^{2} b x^{2} + a^{3}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{30 \, {\left(b^{5} x^{2} + a b^{4}\right)}}\right]"," ",0,"[1/60*(12*b^3*x^7 - 28*a*b^2*x^5 + 140*a^2*b*x^3 + 210*a^3*x + 105*(a^2*b*x^2 + a^3)*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^5*x^2 + a*b^4), 1/30*(6*b^3*x^7 - 14*a*b^2*x^5 + 70*a^2*b*x^3 + 105*a^3*x - 105*(a^2*b*x^2 + a^3)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^5*x^2 + a*b^4)]","A",0
151,1,70,0,0.677015," ","integrate(x^7/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{b^{3} x^{6} - 3 \, a b^{2} x^{4} - 4 \, a^{2} b x^{2} + 2 \, a^{3} + 6 \, {\left(a^{2} b x^{2} + a^{3}\right)} \log\left(b x^{2} + a\right)}{4 \, {\left(b^{5} x^{2} + a b^{4}\right)}}"," ",0,"1/4*(b^3*x^6 - 3*a*b^2*x^4 - 4*a^2*b*x^2 + 2*a^3 + 6*(a^2*b*x^2 + a^3)*log(b*x^2 + a))/(b^5*x^2 + a*b^4)","A",0
152,1,164,0,0.995888," ","integrate(x^6/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{4 \, b^{2} x^{5} - 20 \, a b x^{3} - 30 \, a^{2} x + 15 \, {\left(a b x^{2} + a^{2}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{12 \, {\left(b^{4} x^{2} + a b^{3}\right)}}, \frac{2 \, b^{2} x^{5} - 10 \, a b x^{3} - 15 \, a^{2} x + 15 \, {\left(a b x^{2} + a^{2}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{6 \, {\left(b^{4} x^{2} + a b^{3}\right)}}\right]"," ",0,"[1/12*(4*b^2*x^5 - 20*a*b*x^3 - 30*a^2*x + 15*(a*b*x^2 + a^2)*sqrt(-a/b)*log((b*x^2 + 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^4*x^2 + a*b^3), 1/6*(2*b^2*x^5 - 10*a*b*x^3 - 15*a^2*x + 15*(a*b*x^2 + a^2)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^4*x^2 + a*b^3)]","A",0
153,1,56,0,0.879662," ","integrate(x^5/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{4} + a b x^{2} - a^{2} - 2 \, {\left(a b x^{2} + a^{2}\right)} \log\left(b x^{2} + a\right)}{2 \, {\left(b^{4} x^{2} + a b^{3}\right)}}"," ",0,"1/2*(b^2*x^4 + a*b*x^2 - a^2 - 2*(a*b*x^2 + a^2)*log(b*x^2 + a))/(b^4*x^2 + a*b^3)","A",0
154,1,136,0,1.007293," ","integrate(x^4/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{4 \, b x^{3} + 3 \, {\left(b x^{2} + a\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) + 6 \, a x}{4 \, {\left(b^{3} x^{2} + a b^{2}\right)}}, \frac{2 \, b x^{3} - 3 \, {\left(b x^{2} + a\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) + 3 \, a x}{2 \, {\left(b^{3} x^{2} + a b^{2}\right)}}\right]"," ",0,"[1/4*(4*b*x^3 + 3*(b*x^2 + a)*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) + 6*a*x)/(b^3*x^2 + a*b^2), 1/2*(2*b*x^3 - 3*(b*x^2 + a)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) + 3*a*x)/(b^3*x^2 + a*b^2)]","A",0
155,1,35,0,0.543664," ","integrate(x^3/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) + a}{2 \, {\left(b^{3} x^{2} + a b^{2}\right)}}"," ",0,"1/2*((b*x^2 + a)*log(b*x^2 + a) + a)/(b^3*x^2 + a*b^2)","A",0
156,1,120,0,1.453535," ","integrate(x^2/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a b x + {\left(b x^{2} + a\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{4 \, {\left(a b^{3} x^{2} + a^{2} b^{2}\right)}}, -\frac{a b x - {\left(b x^{2} + a\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{2 \, {\left(a b^{3} x^{2} + a^{2} b^{2}\right)}}\right]"," ",0,"[-1/4*(2*a*b*x + (b*x^2 + a)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a*b^3*x^2 + a^2*b^2), -1/2*(a*b*x - (b*x^2 + a)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a*b^3*x^2 + a^2*b^2)]","A",0
157,1,15,0,0.920319," ","integrate(x/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(b^{2} x^{2} + a b\right)}}"," ",0,"-1/2/(b^2*x^2 + a*b)","A",0
158,1,120,0,0.755073," ","integrate(1/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{2 \, a b x - {\left(b x^{2} + a\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{4 \, {\left(a^{2} b^{2} x^{2} + a^{3} b\right)}}, \frac{a b x + {\left(b x^{2} + a\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{2 \, {\left(a^{2} b^{2} x^{2} + a^{3} b\right)}}\right]"," ",0,"[1/4*(2*a*b*x - (b*x^2 + a)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^2*b^2*x^2 + a^3*b), 1/2*(a*b*x + (b*x^2 + a)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^2*b^2*x^2 + a^3*b)]","A",0
159,1,47,0,1.044679," ","integrate(1/x/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{{\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) - 2 \, {\left(b x^{2} + a\right)} \log\left(x\right) - a}{2 \, {\left(a^{2} b x^{2} + a^{3}\right)}}"," ",0,"-1/2*((b*x^2 + a)*log(b*x^2 + a) - 2*(b*x^2 + a)*log(x) - a)/(a^2*b*x^2 + a^3)","A",0
160,1,136,0,0.889996," ","integrate(1/x^2/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{6 \, b x^{2} - 3 \, {\left(b x^{3} + a x\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) + 4 \, a}{4 \, {\left(a^{2} b x^{3} + a^{3} x\right)}}, -\frac{3 \, b x^{2} + 3 \, {\left(b x^{3} + a x\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 2 \, a}{2 \, {\left(a^{2} b x^{3} + a^{3} x\right)}}\right]"," ",0,"[-1/4*(6*b*x^2 - 3*(b*x^3 + a*x)*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) + 4*a)/(a^2*b*x^3 + a^3*x), -1/2*(3*b*x^2 + 3*(b*x^3 + a*x)*sqrt(b/a)*arctan(x*sqrt(b/a)) + 2*a)/(a^2*b*x^3 + a^3*x)]","A",0
161,1,73,0,1.044913," ","integrate(1/x^3/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{2 \, a b x^{2} + a^{2} - 2 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \log\left(b x^{2} + a\right) + 4 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \log\left(x\right)}{2 \, {\left(a^{3} b x^{4} + a^{4} x^{2}\right)}}"," ",0,"-1/2*(2*a*b*x^2 + a^2 - 2*(b^2*x^4 + a*b*x^2)*log(b*x^2 + a) + 4*(b^2*x^4 + a*b*x^2)*log(x))/(a^3*b*x^4 + a^4*x^2)","A",0
162,1,172,0,1.093403," ","integrate(1/x^4/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{30 \, b^{2} x^{4} + 20 \, a b x^{2} + 15 \, {\left(b^{2} x^{5} + a b x^{3}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) - 4 \, a^{2}}{12 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)}}, \frac{15 \, b^{2} x^{4} + 10 \, a b x^{2} + 15 \, {\left(b^{2} x^{5} + a b x^{3}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) - 2 \, a^{2}}{6 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)}}\right]"," ",0,"[1/12*(30*b^2*x^4 + 20*a*b*x^2 + 15*(b^2*x^5 + a*b*x^3)*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) - 4*a^2)/(a^3*b*x^5 + a^4*x^3), 1/6*(15*b^2*x^4 + 10*a*b*x^2 + 15*(b^2*x^5 + a*b*x^3)*sqrt(b/a)*arctan(x*sqrt(b/a)) - 2*a^2)/(a^3*b*x^5 + a^4*x^3)]","A",0
163,1,90,0,1.084178," ","integrate(1/x^5/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{6 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} - a^{3} - 6 \, {\left(b^{3} x^{6} + a b^{2} x^{4}\right)} \log\left(b x^{2} + a\right) + 12 \, {\left(b^{3} x^{6} + a b^{2} x^{4}\right)} \log\left(x\right)}{4 \, {\left(a^{4} b x^{6} + a^{5} x^{4}\right)}}"," ",0,"1/4*(6*a*b^2*x^4 + 3*a^2*b*x^2 - a^3 - 6*(b^3*x^6 + a*b^2*x^4)*log(b*x^2 + a) + 12*(b^3*x^6 + a*b^2*x^4)*log(x))/(a^4*b*x^6 + a^5*x^4)","A",0
164,1,198,0,0.885669," ","integrate(1/x^6/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{210 \, b^{3} x^{6} + 140 \, a b^{2} x^{4} - 28 \, a^{2} b x^{2} + 12 \, a^{3} - 105 \, {\left(b^{3} x^{7} + a b^{2} x^{5}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{60 \, {\left(a^{4} b x^{7} + a^{5} x^{5}\right)}}, -\frac{105 \, b^{3} x^{6} + 70 \, a b^{2} x^{4} - 14 \, a^{2} b x^{2} + 6 \, a^{3} + 105 \, {\left(b^{3} x^{7} + a b^{2} x^{5}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{30 \, {\left(a^{4} b x^{7} + a^{5} x^{5}\right)}}\right]"," ",0,"[-1/60*(210*b^3*x^6 + 140*a*b^2*x^4 - 28*a^2*b*x^2 + 12*a^3 - 105*(b^3*x^7 + a*b^2*x^5)*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^4*b*x^7 + a^5*x^5), -1/30*(105*b^3*x^6 + 70*a*b^2*x^4 - 14*a^2*b*x^2 + 6*a^3 + 105*(b^3*x^7 + a*b^2*x^5)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^4*b*x^7 + a^5*x^5)]","A",0
165,1,99,0,0.589999," ","integrate(1/x^7/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{12 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 2 \, a^{3} b x^{2} + a^{4} - 12 \, {\left(b^{4} x^{8} + a b^{3} x^{6}\right)} \log\left(b x^{2} + a\right) + 24 \, {\left(b^{4} x^{8} + a b^{3} x^{6}\right)} \log\left(x\right)}{6 \, {\left(a^{5} b x^{8} + a^{6} x^{6}\right)}}"," ",0,"-1/6*(12*a*b^3*x^6 + 6*a^2*b^2*x^4 - 2*a^3*b*x^2 + a^4 - 12*(b^4*x^8 + a*b^3*x^6)*log(b*x^2 + a) + 24*(b^4*x^8 + a*b^3*x^6)*log(x))/(a^5*b*x^8 + a^6*x^6)","A",0
166,1,220,0,0.639284," ","integrate(1/x^8/(b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{630 \, b^{4} x^{8} + 420 \, a b^{3} x^{6} - 84 \, a^{2} b^{2} x^{4} + 36 \, a^{3} b x^{2} - 20 \, a^{4} + 315 \, {\left(b^{4} x^{9} + a b^{3} x^{7}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{140 \, {\left(a^{5} b x^{9} + a^{6} x^{7}\right)}}, \frac{315 \, b^{4} x^{8} + 210 \, a b^{3} x^{6} - 42 \, a^{2} b^{2} x^{4} + 18 \, a^{3} b x^{2} - 10 \, a^{4} + 315 \, {\left(b^{4} x^{9} + a b^{3} x^{7}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{70 \, {\left(a^{5} b x^{9} + a^{6} x^{7}\right)}}\right]"," ",0,"[1/140*(630*b^4*x^8 + 420*a*b^3*x^6 - 84*a^2*b^2*x^4 + 36*a^3*b*x^2 - 20*a^4 + 315*(b^4*x^9 + a*b^3*x^7)*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^5*b*x^9 + a^6*x^7), 1/70*(315*b^4*x^8 + 210*a*b^3*x^6 - 42*a^2*b^2*x^4 + 18*a^3*b*x^2 - 10*a^4 + 315*(b^4*x^9 + a*b^3*x^7)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^5*b*x^9 + a^6*x^7)]","A",0
167,1,112,0,0.752104," ","integrate(1/x^9/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{60 \, a b^{4} x^{8} + 30 \, a^{2} b^{3} x^{6} - 10 \, a^{3} b^{2} x^{4} + 5 \, a^{4} b x^{2} - 3 \, a^{5} - 60 \, {\left(b^{5} x^{10} + a b^{4} x^{8}\right)} \log\left(b x^{2} + a\right) + 120 \, {\left(b^{5} x^{10} + a b^{4} x^{8}\right)} \log\left(x\right)}{24 \, {\left(a^{6} b x^{10} + a^{7} x^{8}\right)}}"," ",0,"1/24*(60*a*b^4*x^8 + 30*a^2*b^3*x^6 - 10*a^3*b^2*x^4 + 5*a^4*b*x^2 - 3*a^5 - 60*(b^5*x^10 + a*b^4*x^8)*log(b*x^2 + a) + 120*(b^5*x^10 + a*b^4*x^8)*log(x))/(a^6*b*x^10 + a^7*x^8)","A",0
168,1,137,0,0.445218," ","integrate(x^15/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{4 \, b^{7} x^{14} - 7 \, a b^{6} x^{12} + 14 \, a^{2} b^{5} x^{10} - 35 \, a^{3} b^{4} x^{8} + 140 \, a^{4} b^{3} x^{6} + 500 \, a^{5} b^{2} x^{4} + 160 \, a^{6} b x^{2} - 130 \, a^{7} - 420 \, {\left(a^{5} b^{2} x^{4} + 2 \, a^{6} b x^{2} + a^{7}\right)} \log\left(b x^{2} + a\right)}{40 \, {\left(b^{10} x^{4} + 2 \, a b^{9} x^{2} + a^{2} b^{8}\right)}}"," ",0,"1/40*(4*b^7*x^14 - 7*a*b^6*x^12 + 14*a^2*b^5*x^10 - 35*a^3*b^4*x^8 + 140*a^4*b^3*x^6 + 500*a^5*b^2*x^4 + 160*a^6*b*x^2 - 130*a^7 - 420*(a^5*b^2*x^4 + 2*a^6*b*x^2 + a^7)*log(b*x^2 + a))/(b^10*x^4 + 2*a*b^9*x^2 + a^2*b^8)","A",0
169,1,125,0,0.948486," ","integrate(x^13/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{b^{6} x^{12} - 2 \, a b^{5} x^{10} + 5 \, a^{2} b^{4} x^{8} - 20 \, a^{3} b^{3} x^{6} - 68 \, a^{4} b^{2} x^{4} - 16 \, a^{5} b x^{2} + 22 \, a^{6} + 60 \, {\left(a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{2} + a^{6}\right)} \log\left(b x^{2} + a\right)}{8 \, {\left(b^{9} x^{4} + 2 \, a b^{8} x^{2} + a^{2} b^{7}\right)}}"," ",0,"1/8*(b^6*x^12 - 2*a*b^5*x^10 + 5*a^2*b^4*x^8 - 20*a^3*b^3*x^6 - 68*a^4*b^2*x^4 - 16*a^5*b*x^2 + 22*a^6 + 60*(a^4*b^2*x^4 + 2*a^5*b*x^2 + a^6)*log(b*x^2 + a))/(b^9*x^4 + 2*a*b^8*x^2 + a^2*b^7)","A",0
170,1,115,0,0.804301," ","integrate(x^11/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{2 \, b^{5} x^{10} - 5 \, a b^{4} x^{8} + 20 \, a^{2} b^{3} x^{6} + 63 \, a^{3} b^{2} x^{4} + 6 \, a^{4} b x^{2} - 27 \, a^{5} - 60 \, {\left(a^{3} b^{2} x^{4} + 2 \, a^{4} b x^{2} + a^{5}\right)} \log\left(b x^{2} + a\right)}{12 \, {\left(b^{8} x^{4} + 2 \, a b^{7} x^{2} + a^{2} b^{6}\right)}}"," ",0,"1/12*(2*b^5*x^10 - 5*a*b^4*x^8 + 20*a^2*b^3*x^6 + 63*a^3*b^2*x^4 + 6*a^4*b*x^2 - 27*a^5 - 60*(a^3*b^2*x^4 + 2*a^4*b*x^2 + a^5)*log(b*x^2 + a))/(b^8*x^4 + 2*a*b^7*x^2 + a^2*b^6)","A",0
171,1,103,0,1.036590," ","integrate(x^9/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{b^{4} x^{8} - 4 \, a b^{3} x^{6} - 11 \, a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + 7 \, a^{4} + 12 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \log\left(b x^{2} + a\right)}{4 \, {\left(b^{7} x^{4} + 2 \, a b^{6} x^{2} + a^{2} b^{5}\right)}}"," ",0,"1/4*(b^4*x^8 - 4*a*b^3*x^6 - 11*a^2*b^2*x^4 + 2*a^3*b*x^2 + 7*a^4 + 12*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*log(b*x^2 + a))/(b^7*x^4 + 2*a*b^6*x^2 + a^2*b^5)","A",0
172,1,91,0,0.840449," ","integrate(x^7/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{6} + 4 \, a b^{2} x^{4} - 4 \, a^{2} b x^{2} - 5 \, a^{3} - 6 \, {\left(a b^{2} x^{4} + 2 \, a^{2} b x^{2} + a^{3}\right)} \log\left(b x^{2} + a\right)}{4 \, {\left(b^{6} x^{4} + 2 \, a b^{5} x^{2} + a^{2} b^{4}\right)}}"," ",0,"1/4*(2*b^3*x^6 + 4*a*b^2*x^4 - 4*a^2*b*x^2 - 5*a^3 - 6*(a*b^2*x^4 + 2*a^2*b*x^2 + a^3)*log(b*x^2 + a))/(b^6*x^4 + 2*a*b^5*x^2 + a^2*b^4)","A",0
173,1,69,0,0.728616," ","integrate(x^5/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{4 \, a b x^{2} + 3 \, a^{2} + 2 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \log\left(b x^{2} + a\right)}{4 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}}"," ",0,"1/4*(4*a*b*x^2 + 3*a^2 + 2*(b^2*x^4 + 2*a*b*x^2 + a^2)*log(b*x^2 + a))/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3)","A",0
174,1,36,0,0.851655," ","integrate(x^3/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{2 \, b x^{2} + a}{4 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)}}"," ",0,"-1/4*(2*b*x^2 + a)/(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2)","B",0
175,1,26,0,0.687806," ","integrate(x/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{1}{4 \, {\left(b^{3} x^{4} + 2 \, a b^{2} x^{2} + a^{2} b\right)}}"," ",0,"-1/4/(b^3*x^4 + 2*a*b^2*x^2 + a^2*b)","A",0
176,1,90,0,0.879994," ","integrate(1/x/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{2 \, a b x^{2} + 3 \, a^{2} - 2 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \log\left(b x^{2} + a\right) + 4 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \log\left(x\right)}{4 \, {\left(a^{3} b^{2} x^{4} + 2 \, a^{4} b x^{2} + a^{5}\right)}}"," ",0,"1/4*(2*a*b*x^2 + 3*a^2 - 2*(b^2*x^4 + 2*a*b*x^2 + a^2)*log(b*x^2 + a) + 4*(b^2*x^4 + 2*a*b*x^2 + a^2)*log(x))/(a^3*b^2*x^4 + 2*a^4*b*x^2 + a^5)","A",0
177,1,119,0,0.791032," ","integrate(1/x^3/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{6 \, a b^{2} x^{4} + 9 \, a^{2} b x^{2} + 2 \, a^{3} - 6 \, {\left(b^{3} x^{6} + 2 \, a b^{2} x^{4} + a^{2} b x^{2}\right)} \log\left(b x^{2} + a\right) + 12 \, {\left(b^{3} x^{6} + 2 \, a b^{2} x^{4} + a^{2} b x^{2}\right)} \log\left(x\right)}{4 \, {\left(a^{4} b^{2} x^{6} + 2 \, a^{5} b x^{4} + a^{6} x^{2}\right)}}"," ",0,"-1/4*(6*a*b^2*x^4 + 9*a^2*b*x^2 + 2*a^3 - 6*(b^3*x^6 + 2*a*b^2*x^4 + a^2*b*x^2)*log(b*x^2 + a) + 12*(b^3*x^6 + 2*a*b^2*x^4 + a^2*b*x^2)*log(x))/(a^4*b^2*x^6 + 2*a^5*b*x^4 + a^6*x^2)","A",0
178,1,134,0,0.548564," ","integrate(1/x^5/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{12 \, a b^{3} x^{6} + 18 \, a^{2} b^{2} x^{4} + 4 \, a^{3} b x^{2} - a^{4} - 12 \, {\left(b^{4} x^{8} + 2 \, a b^{3} x^{6} + a^{2} b^{2} x^{4}\right)} \log\left(b x^{2} + a\right) + 24 \, {\left(b^{4} x^{8} + 2 \, a b^{3} x^{6} + a^{2} b^{2} x^{4}\right)} \log\left(x\right)}{4 \, {\left(a^{5} b^{2} x^{8} + 2 \, a^{6} b x^{6} + a^{7} x^{4}\right)}}"," ",0,"1/4*(12*a*b^3*x^6 + 18*a^2*b^2*x^4 + 4*a^3*b*x^2 - a^4 - 12*(b^4*x^8 + 2*a*b^3*x^6 + a^2*b^2*x^4)*log(b*x^2 + a) + 24*(b^4*x^8 + 2*a*b^3*x^6 + a^2*b^2*x^4)*log(x))/(a^5*b^2*x^8 + 2*a^6*b*x^6 + a^7*x^4)","A",0
179,1,145,0,0.729998," ","integrate(1/x^7/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{60 \, a b^{4} x^{8} + 90 \, a^{2} b^{3} x^{6} + 20 \, a^{3} b^{2} x^{4} - 5 \, a^{4} b x^{2} + 2 \, a^{5} - 60 \, {\left(b^{5} x^{10} + 2 \, a b^{4} x^{8} + a^{2} b^{3} x^{6}\right)} \log\left(b x^{2} + a\right) + 120 \, {\left(b^{5} x^{10} + 2 \, a b^{4} x^{8} + a^{2} b^{3} x^{6}\right)} \log\left(x\right)}{12 \, {\left(a^{6} b^{2} x^{10} + 2 \, a^{7} b x^{8} + a^{8} x^{6}\right)}}"," ",0,"-1/12*(60*a*b^4*x^8 + 90*a^2*b^3*x^6 + 20*a^3*b^2*x^4 - 5*a^4*b*x^2 + 2*a^5 - 60*(b^5*x^10 + 2*a*b^4*x^8 + a^2*b^3*x^6)*log(b*x^2 + a) + 120*(b^5*x^10 + 2*a*b^4*x^8 + a^2*b^3*x^6)*log(x))/(a^6*b^2*x^10 + 2*a^7*b*x^8 + a^8*x^6)","A",0
180,1,156,0,1.185247," ","integrate(1/x^9/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{60 \, a b^{5} x^{10} + 90 \, a^{2} b^{4} x^{8} + 20 \, a^{3} b^{3} x^{6} - 5 \, a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{2} - a^{6} - 60 \, {\left(b^{6} x^{12} + 2 \, a b^{5} x^{10} + a^{2} b^{4} x^{8}\right)} \log\left(b x^{2} + a\right) + 120 \, {\left(b^{6} x^{12} + 2 \, a b^{5} x^{10} + a^{2} b^{4} x^{8}\right)} \log\left(x\right)}{8 \, {\left(a^{7} b^{2} x^{12} + 2 \, a^{8} b x^{10} + a^{9} x^{8}\right)}}"," ",0,"1/8*(60*a*b^5*x^10 + 90*a^2*b^4*x^8 + 20*a^3*b^3*x^6 - 5*a^4*b^2*x^4 + 2*a^5*b*x^2 - a^6 - 60*(b^6*x^12 + 2*a*b^5*x^10 + a^2*b^4*x^8)*log(b*x^2 + a) + 120*(b^6*x^12 + 2*a*b^5*x^10 + a^2*b^4*x^8)*log(x))/(a^7*b^2*x^12 + 2*a^8*b*x^10 + a^9*x^8)","A",0
181,1,278,0,0.715120," ","integrate(x^12/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{80 \, b^{5} x^{11} - 176 \, a b^{4} x^{9} + 528 \, a^{2} b^{3} x^{7} - 3696 \, a^{3} b^{2} x^{5} - 11550 \, a^{4} b x^{3} - 6930 \, a^{5} x + 3465 \, {\left(a^{3} b^{2} x^{4} + 2 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{560 \, {\left(b^{8} x^{4} + 2 \, a b^{7} x^{2} + a^{2} b^{6}\right)}}, \frac{40 \, b^{5} x^{11} - 88 \, a b^{4} x^{9} + 264 \, a^{2} b^{3} x^{7} - 1848 \, a^{3} b^{2} x^{5} - 5775 \, a^{4} b x^{3} - 3465 \, a^{5} x + 3465 \, {\left(a^{3} b^{2} x^{4} + 2 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{280 \, {\left(b^{8} x^{4} + 2 \, a b^{7} x^{2} + a^{2} b^{6}\right)}}\right]"," ",0,"[1/560*(80*b^5*x^11 - 176*a*b^4*x^9 + 528*a^2*b^3*x^7 - 3696*a^3*b^2*x^5 - 11550*a^4*b*x^3 - 6930*a^5*x + 3465*(a^3*b^2*x^4 + 2*a^4*b*x^2 + a^5)*sqrt(-a/b)*log((b*x^2 + 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^8*x^4 + 2*a*b^7*x^2 + a^2*b^6), 1/280*(40*b^5*x^11 - 88*a*b^4*x^9 + 264*a^2*b^3*x^7 - 1848*a^3*b^2*x^5 - 5775*a^4*b*x^3 - 3465*a^5*x + 3465*(a^3*b^2*x^4 + 2*a^4*b*x^2 + a^5)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^8*x^4 + 2*a*b^7*x^2 + a^2*b^6)]","A",0
182,1,256,0,0.925647," ","integrate(x^10/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{16 \, b^{4} x^{9} - 48 \, a b^{3} x^{7} + 336 \, a^{2} b^{2} x^{5} + 1050 \, a^{3} b x^{3} + 630 \, a^{4} x + 315 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{80 \, {\left(b^{7} x^{4} + 2 \, a b^{6} x^{2} + a^{2} b^{5}\right)}}, \frac{8 \, b^{4} x^{9} - 24 \, a b^{3} x^{7} + 168 \, a^{2} b^{2} x^{5} + 525 \, a^{3} b x^{3} + 315 \, a^{4} x - 315 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{40 \, {\left(b^{7} x^{4} + 2 \, a b^{6} x^{2} + a^{2} b^{5}\right)}}\right]"," ",0,"[1/80*(16*b^4*x^9 - 48*a*b^3*x^7 + 336*a^2*b^2*x^5 + 1050*a^3*b*x^3 + 630*a^4*x + 315*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^7*x^4 + 2*a*b^6*x^2 + a^2*b^5), 1/40*(8*b^4*x^9 - 24*a*b^3*x^7 + 168*a^2*b^2*x^5 + 525*a^3*b*x^3 + 315*a^4*x - 315*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^7*x^4 + 2*a*b^6*x^2 + a^2*b^5)]","A",0
183,1,230,0,0.878629," ","integrate(x^8/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{16 \, b^{3} x^{7} - 112 \, a b^{2} x^{5} - 350 \, a^{2} b x^{3} - 210 \, a^{3} x + 105 \, {\left(a b^{2} x^{4} + 2 \, a^{2} b x^{2} + a^{3}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{48 \, {\left(b^{6} x^{4} + 2 \, a b^{5} x^{2} + a^{2} b^{4}\right)}}, \frac{8 \, b^{3} x^{7} - 56 \, a b^{2} x^{5} - 175 \, a^{2} b x^{3} - 105 \, a^{3} x + 105 \, {\left(a b^{2} x^{4} + 2 \, a^{2} b x^{2} + a^{3}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{24 \, {\left(b^{6} x^{4} + 2 \, a b^{5} x^{2} + a^{2} b^{4}\right)}}\right]"," ",0,"[1/48*(16*b^3*x^7 - 112*a*b^2*x^5 - 350*a^2*b*x^3 - 210*a^3*x + 105*(a*b^2*x^4 + 2*a^2*b*x^2 + a^3)*sqrt(-a/b)*log((b*x^2 + 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^6*x^4 + 2*a*b^5*x^2 + a^2*b^4), 1/24*(8*b^3*x^7 - 56*a*b^2*x^5 - 175*a^2*b*x^3 - 105*a^3*x + 105*(a*b^2*x^4 + 2*a^2*b*x^2 + a^3)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^6*x^4 + 2*a*b^5*x^2 + a^2*b^4)]","A",0
184,1,202,0,1.022860," ","integrate(x^6/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{16 \, b^{2} x^{5} + 50 \, a b x^{3} + 30 \, a^{2} x + 15 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{16 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}}, \frac{8 \, b^{2} x^{5} + 25 \, a b x^{3} + 15 \, a^{2} x - 15 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{8 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}}\right]"," ",0,"[1/16*(16*b^2*x^5 + 50*a*b*x^3 + 30*a^2*x + 15*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3), 1/8*(8*b^2*x^5 + 25*a*b*x^3 + 15*a^2*x - 15*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3)]","A",0
185,1,188,0,0.861395," ","integrate(x^4/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[-\frac{10 \, a b^{2} x^{3} + 6 \, a^{2} b x + 3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{16 \, {\left(a b^{5} x^{4} + 2 \, a^{2} b^{4} x^{2} + a^{3} b^{3}\right)}}, -\frac{5 \, a b^{2} x^{3} + 3 \, a^{2} b x - 3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{8 \, {\left(a b^{5} x^{4} + 2 \, a^{2} b^{4} x^{2} + a^{3} b^{3}\right)}}\right]"," ",0,"[-1/16*(10*a*b^2*x^3 + 6*a^2*b*x + 3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a*b^5*x^4 + 2*a^2*b^4*x^2 + a^3*b^3), -1/8*(5*a*b^2*x^3 + 3*a^2*b*x - 3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a*b^5*x^4 + 2*a^2*b^4*x^2 + a^3*b^3)]","A",0
186,1,190,0,0.746023," ","integrate(x^2/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{2 \, a b^{2} x^{3} - 2 \, a^{2} b x - {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{16 \, {\left(a^{2} b^{4} x^{4} + 2 \, a^{3} b^{3} x^{2} + a^{4} b^{2}\right)}}, \frac{a b^{2} x^{3} - a^{2} b x + {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{8 \, {\left(a^{2} b^{4} x^{4} + 2 \, a^{3} b^{3} x^{2} + a^{4} b^{2}\right)}}\right]"," ",0,"[1/16*(2*a*b^2*x^3 - 2*a^2*b*x - (b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^2*b^4*x^4 + 2*a^3*b^3*x^2 + a^4*b^2), 1/8*(a*b^2*x^3 - a^2*b*x + (b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^2*b^4*x^4 + 2*a^3*b^3*x^2 + a^4*b^2)]","A",0
187,1,188,0,0.806696," ","integrate(1/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{6 \, a b^{2} x^{3} + 10 \, a^{2} b x - 3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{16 \, {\left(a^{3} b^{3} x^{4} + 2 \, a^{4} b^{2} x^{2} + a^{5} b\right)}}, \frac{3 \, a b^{2} x^{3} + 5 \, a^{2} b x + 3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{8 \, {\left(a^{3} b^{3} x^{4} + 2 \, a^{4} b^{2} x^{2} + a^{5} b\right)}}\right]"," ",0,"[1/16*(6*a*b^2*x^3 + 10*a^2*b*x - 3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^3*b^3*x^4 + 2*a^4*b^2*x^2 + a^5*b), 1/8*(3*a*b^2*x^3 + 5*a^2*b*x + 3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^3*b^3*x^4 + 2*a^4*b^2*x^2 + a^5*b)]","A",0
188,1,202,0,0.811766," ","integrate(1/x^2/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[-\frac{30 \, b^{2} x^{4} + 50 \, a b x^{2} - 15 \, {\left(b^{2} x^{5} + 2 \, a b x^{3} + a^{2} x\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) + 16 \, a^{2}}{16 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)}}, -\frac{15 \, b^{2} x^{4} + 25 \, a b x^{2} + 15 \, {\left(b^{2} x^{5} + 2 \, a b x^{3} + a^{2} x\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 8 \, a^{2}}{8 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)}}\right]"," ",0,"[-1/16*(30*b^2*x^4 + 50*a*b*x^2 - 15*(b^2*x^5 + 2*a*b*x^3 + a^2*x)*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) + 16*a^2)/(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x), -1/8*(15*b^2*x^4 + 25*a*b*x^2 + 15*(b^2*x^5 + 2*a*b*x^3 + a^2*x)*sqrt(b/a)*arctan(x*sqrt(b/a)) + 8*a^2)/(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x)]","A",0
189,1,238,0,0.806643," ","integrate(1/x^4/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{210 \, b^{3} x^{6} + 350 \, a b^{2} x^{4} + 112 \, a^{2} b x^{2} - 16 \, a^{3} + 105 \, {\left(b^{3} x^{7} + 2 \, a b^{2} x^{5} + a^{2} b x^{3}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{48 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)}}, \frac{105 \, b^{3} x^{6} + 175 \, a b^{2} x^{4} + 56 \, a^{2} b x^{2} - 8 \, a^{3} + 105 \, {\left(b^{3} x^{7} + 2 \, a b^{2} x^{5} + a^{2} b x^{3}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{24 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)}}\right]"," ",0,"[1/48*(210*b^3*x^6 + 350*a*b^2*x^4 + 112*a^2*b*x^2 - 16*a^3 + 105*(b^3*x^7 + 2*a*b^2*x^5 + a^2*b*x^3)*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3), 1/24*(105*b^3*x^6 + 175*a*b^2*x^4 + 56*a^2*b*x^2 - 8*a^3 + 105*(b^3*x^7 + 2*a*b^2*x^5 + a^2*b*x^3)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3)]","A",0
190,1,264,0,0.806923," ","integrate(1/x^6/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[-\frac{630 \, b^{4} x^{8} + 1050 \, a b^{3} x^{6} + 336 \, a^{2} b^{2} x^{4} - 48 \, a^{3} b x^{2} + 16 \, a^{4} - 315 \, {\left(b^{4} x^{9} + 2 \, a b^{3} x^{7} + a^{2} b^{2} x^{5}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{80 \, {\left(a^{5} b^{2} x^{9} + 2 \, a^{6} b x^{7} + a^{7} x^{5}\right)}}, -\frac{315 \, b^{4} x^{8} + 525 \, a b^{3} x^{6} + 168 \, a^{2} b^{2} x^{4} - 24 \, a^{3} b x^{2} + 8 \, a^{4} + 315 \, {\left(b^{4} x^{9} + 2 \, a b^{3} x^{7} + a^{2} b^{2} x^{5}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{40 \, {\left(a^{5} b^{2} x^{9} + 2 \, a^{6} b x^{7} + a^{7} x^{5}\right)}}\right]"," ",0,"[-1/80*(630*b^4*x^8 + 1050*a*b^3*x^6 + 336*a^2*b^2*x^4 - 48*a^3*b*x^2 + 16*a^4 - 315*(b^4*x^9 + 2*a*b^3*x^7 + a^2*b^2*x^5)*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^5*b^2*x^9 + 2*a^6*b*x^7 + a^7*x^5), -1/40*(315*b^4*x^8 + 525*a*b^3*x^6 + 168*a^2*b^2*x^4 - 24*a^3*b*x^2 + 8*a^4 + 315*(b^4*x^9 + 2*a*b^3*x^7 + a^2*b^2*x^5)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^5*b^2*x^9 + 2*a^6*b*x^7 + a^7*x^5)]","A",0
191,1,286,0,0.885979," ","integrate(1/x^8/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{6930 \, b^{5} x^{10} + 11550 \, a b^{4} x^{8} + 3696 \, a^{2} b^{3} x^{6} - 528 \, a^{3} b^{2} x^{4} + 176 \, a^{4} b x^{2} - 80 \, a^{5} + 3465 \, {\left(b^{5} x^{11} + 2 \, a b^{4} x^{9} + a^{2} b^{3} x^{7}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{560 \, {\left(a^{6} b^{2} x^{11} + 2 \, a^{7} b x^{9} + a^{8} x^{7}\right)}}, \frac{3465 \, b^{5} x^{10} + 5775 \, a b^{4} x^{8} + 1848 \, a^{2} b^{3} x^{6} - 264 \, a^{3} b^{2} x^{4} + 88 \, a^{4} b x^{2} - 40 \, a^{5} + 3465 \, {\left(b^{5} x^{11} + 2 \, a b^{4} x^{9} + a^{2} b^{3} x^{7}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{280 \, {\left(a^{6} b^{2} x^{11} + 2 \, a^{7} b x^{9} + a^{8} x^{7}\right)}}\right]"," ",0,"[1/560*(6930*b^5*x^10 + 11550*a*b^4*x^8 + 3696*a^2*b^3*x^6 - 528*a^3*b^2*x^4 + 176*a^4*b*x^2 - 80*a^5 + 3465*(b^5*x^11 + 2*a*b^4*x^9 + a^2*b^3*x^7)*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^6*b^2*x^11 + 2*a^7*b*x^9 + a^8*x^7), 1/280*(3465*b^5*x^10 + 5775*a*b^4*x^8 + 1848*a^2*b^3*x^6 - 264*a^3*b^2*x^4 + 88*a^4*b*x^2 - 40*a^5 + 3465*(b^5*x^11 + 2*a*b^4*x^9 + a^2*b^3*x^7)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^6*b^2*x^11 + 2*a^7*b*x^9 + a^8*x^7)]","A",0
192,1,346,0,0.655466," ","integrate(x^25/(b*x^2+a)^10,x, algorithm=""fricas"")","\frac{42 \, b^{12} x^{24} - 252 \, a b^{11} x^{22} + 2772 \, a^{2} b^{10} x^{20} + 43218 \, a^{3} b^{9} x^{18} + 139482 \, a^{4} b^{8} x^{16} + 58968 \, a^{5} b^{7} x^{14} - 638568 \, a^{6} b^{6} x^{12} - 1831032 \, a^{7} b^{5} x^{10} - 2529576 \, a^{8} b^{4} x^{8} - 2074464 \, a^{9} b^{3} x^{6} - 1031616 \, a^{10} b^{2} x^{4} - 289089 \, a^{11} b x^{2} - 35201 \, a^{12} - 27720 \, {\left(a^{3} b^{9} x^{18} + 9 \, a^{4} b^{8} x^{16} + 36 \, a^{5} b^{7} x^{14} + 84 \, a^{6} b^{6} x^{12} + 126 \, a^{7} b^{5} x^{10} + 126 \, a^{8} b^{4} x^{8} + 84 \, a^{9} b^{3} x^{6} + 36 \, a^{10} b^{2} x^{4} + 9 \, a^{11} b x^{2} + a^{12}\right)} \log\left(b x^{2} + a\right)}{252 \, {\left(b^{22} x^{18} + 9 \, a b^{21} x^{16} + 36 \, a^{2} b^{20} x^{14} + 84 \, a^{3} b^{19} x^{12} + 126 \, a^{4} b^{18} x^{10} + 126 \, a^{5} b^{17} x^{8} + 84 \, a^{6} b^{16} x^{6} + 36 \, a^{7} b^{15} x^{4} + 9 \, a^{8} b^{14} x^{2} + a^{9} b^{13}\right)}}"," ",0,"1/252*(42*b^12*x^24 - 252*a*b^11*x^22 + 2772*a^2*b^10*x^20 + 43218*a^3*b^9*x^18 + 139482*a^4*b^8*x^16 + 58968*a^5*b^7*x^14 - 638568*a^6*b^6*x^12 - 1831032*a^7*b^5*x^10 - 2529576*a^8*b^4*x^8 - 2074464*a^9*b^3*x^6 - 1031616*a^10*b^2*x^4 - 289089*a^11*b*x^2 - 35201*a^12 - 27720*(a^3*b^9*x^18 + 9*a^4*b^8*x^16 + 36*a^5*b^7*x^14 + 84*a^6*b^6*x^12 + 126*a^7*b^5*x^10 + 126*a^8*b^4*x^8 + 84*a^9*b^3*x^6 + 36*a^10*b^2*x^4 + 9*a^11*b*x^2 + a^12)*log(b*x^2 + a))/(b^22*x^18 + 9*a*b^21*x^16 + 36*a^2*b^20*x^14 + 84*a^3*b^19*x^12 + 126*a^4*b^18*x^10 + 126*a^5*b^17*x^8 + 84*a^6*b^16*x^6 + 36*a^7*b^15*x^4 + 9*a^8*b^14*x^2 + a^9*b^13)","A",0
193,1,335,0,0.885785," ","integrate(x^23/(b*x^2+a)^10,x, algorithm=""fricas"")","\frac{252 \, b^{11} x^{22} - 2772 \, a b^{10} x^{20} - 36288 \, a^{2} b^{9} x^{18} - 77112 \, a^{3} b^{8} x^{16} + 190512 \, a^{4} b^{7} x^{14} + 1220688 \, a^{5} b^{6} x^{12} + 2704212 \, a^{6} b^{5} x^{10} + 3402756 \, a^{7} b^{4} x^{8} + 2656584 \, a^{8} b^{3} x^{6} + 1281096 \, a^{9} b^{2} x^{4} + 351459 \, a^{10} b x^{2} + 42131 \, a^{11} + 27720 \, {\left(a^{2} b^{9} x^{18} + 9 \, a^{3} b^{8} x^{16} + 36 \, a^{4} b^{7} x^{14} + 84 \, a^{5} b^{6} x^{12} + 126 \, a^{6} b^{5} x^{10} + 126 \, a^{7} b^{4} x^{8} + 84 \, a^{8} b^{3} x^{6} + 36 \, a^{9} b^{2} x^{4} + 9 \, a^{10} b x^{2} + a^{11}\right)} \log\left(b x^{2} + a\right)}{1008 \, {\left(b^{21} x^{18} + 9 \, a b^{20} x^{16} + 36 \, a^{2} b^{19} x^{14} + 84 \, a^{3} b^{18} x^{12} + 126 \, a^{4} b^{17} x^{10} + 126 \, a^{5} b^{16} x^{8} + 84 \, a^{6} b^{15} x^{6} + 36 \, a^{7} b^{14} x^{4} + 9 \, a^{8} b^{13} x^{2} + a^{9} b^{12}\right)}}"," ",0,"1/1008*(252*b^11*x^22 - 2772*a*b^10*x^20 - 36288*a^2*b^9*x^18 - 77112*a^3*b^8*x^16 + 190512*a^4*b^7*x^14 + 1220688*a^5*b^6*x^12 + 2704212*a^6*b^5*x^10 + 3402756*a^7*b^4*x^8 + 2656584*a^8*b^3*x^6 + 1281096*a^9*b^2*x^4 + 351459*a^10*b*x^2 + 42131*a^11 + 27720*(a^2*b^9*x^18 + 9*a^3*b^8*x^16 + 36*a^4*b^7*x^14 + 84*a^5*b^6*x^12 + 126*a^6*b^5*x^10 + 126*a^7*b^4*x^8 + 84*a^8*b^3*x^6 + 36*a^9*b^2*x^4 + 9*a^10*b*x^2 + a^11)*log(b*x^2 + a))/(b^21*x^18 + 9*a*b^20*x^16 + 36*a^2*b^19*x^14 + 84*a^3*b^18*x^12 + 126*a^4*b^17*x^10 + 126*a^5*b^16*x^8 + 84*a^6*b^15*x^6 + 36*a^7*b^14*x^4 + 9*a^8*b^13*x^2 + a^9*b^12)","A",0
194,1,322,0,0.706285," ","integrate(x^21/(b*x^2+a)^10,x, algorithm=""fricas"")","\frac{252 \, b^{10} x^{20} + 2268 \, a b^{9} x^{18} - 2268 \, a^{2} b^{8} x^{16} - 54432 \, a^{3} b^{7} x^{14} - 197568 \, a^{4} b^{6} x^{12} - 375732 \, a^{5} b^{5} x^{10} - 439236 \, a^{6} b^{4} x^{8} - 328104 \, a^{7} b^{3} x^{6} - 153576 \, a^{8} b^{2} x^{4} - 41229 \, a^{9} b x^{2} - 4861 \, a^{10} - 2520 \, {\left(a b^{9} x^{18} + 9 \, a^{2} b^{8} x^{16} + 36 \, a^{3} b^{7} x^{14} + 84 \, a^{4} b^{6} x^{12} + 126 \, a^{5} b^{5} x^{10} + 126 \, a^{6} b^{4} x^{8} + 84 \, a^{7} b^{3} x^{6} + 36 \, a^{8} b^{2} x^{4} + 9 \, a^{9} b x^{2} + a^{10}\right)} \log\left(b x^{2} + a\right)}{504 \, {\left(b^{20} x^{18} + 9 \, a b^{19} x^{16} + 36 \, a^{2} b^{18} x^{14} + 84 \, a^{3} b^{17} x^{12} + 126 \, a^{4} b^{16} x^{10} + 126 \, a^{5} b^{15} x^{8} + 84 \, a^{6} b^{14} x^{6} + 36 \, a^{7} b^{13} x^{4} + 9 \, a^{8} b^{12} x^{2} + a^{9} b^{11}\right)}}"," ",0,"1/504*(252*b^10*x^20 + 2268*a*b^9*x^18 - 2268*a^2*b^8*x^16 - 54432*a^3*b^7*x^14 - 197568*a^4*b^6*x^12 - 375732*a^5*b^5*x^10 - 439236*a^6*b^4*x^8 - 328104*a^7*b^3*x^6 - 153576*a^8*b^2*x^4 - 41229*a^9*b*x^2 - 4861*a^10 - 2520*(a*b^9*x^18 + 9*a^2*b^8*x^16 + 36*a^3*b^7*x^14 + 84*a^4*b^6*x^12 + 126*a^5*b^5*x^10 + 126*a^6*b^4*x^8 + 84*a^7*b^3*x^6 + 36*a^8*b^2*x^4 + 9*a^9*b*x^2 + a^10)*log(b*x^2 + a))/(b^20*x^18 + 9*a*b^19*x^16 + 36*a^2*b^18*x^14 + 84*a^3*b^17*x^12 + 126*a^4*b^16*x^10 + 126*a^5*b^15*x^8 + 84*a^6*b^14*x^6 + 36*a^7*b^13*x^4 + 9*a^8*b^12*x^2 + a^9*b^11)","A",0
195,1,300,0,1.301466," ","integrate(x^19/(b*x^2+a)^10,x, algorithm=""fricas"")","\frac{22680 \, a b^{8} x^{16} + 136080 \, a^{2} b^{7} x^{14} + 388080 \, a^{3} b^{6} x^{12} + 661500 \, a^{4} b^{5} x^{10} + 725004 \, a^{5} b^{4} x^{8} + 518616 \, a^{6} b^{3} x^{6} + 235224 \, a^{7} b^{2} x^{4} + 61641 \, a^{8} b x^{2} + 7129 \, a^{9} + 2520 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \log\left(b x^{2} + a\right)}{5040 \, {\left(b^{19} x^{18} + 9 \, a b^{18} x^{16} + 36 \, a^{2} b^{17} x^{14} + 84 \, a^{3} b^{16} x^{12} + 126 \, a^{4} b^{15} x^{10} + 126 \, a^{5} b^{14} x^{8} + 84 \, a^{6} b^{13} x^{6} + 36 \, a^{7} b^{12} x^{4} + 9 \, a^{8} b^{11} x^{2} + a^{9} b^{10}\right)}}"," ",0,"1/5040*(22680*a*b^8*x^16 + 136080*a^2*b^7*x^14 + 388080*a^3*b^6*x^12 + 661500*a^4*b^5*x^10 + 725004*a^5*b^4*x^8 + 518616*a^6*b^3*x^6 + 235224*a^7*b^2*x^4 + 61641*a^8*b*x^2 + 7129*a^9 + 2520*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*log(b*x^2 + a))/(b^19*x^18 + 9*a*b^18*x^16 + 36*a^2*b^17*x^14 + 84*a^3*b^16*x^12 + 126*a^4*b^15*x^10 + 126*a^5*b^14*x^8 + 84*a^6*b^13*x^6 + 36*a^7*b^12*x^4 + 9*a^8*b^11*x^2 + a^9*b^10)","A",0
196,1,190,0,1.349923," ","integrate(x^17/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{9 \, b^{8} x^{16} + 36 \, a b^{7} x^{14} + 84 \, a^{2} b^{6} x^{12} + 126 \, a^{3} b^{5} x^{10} + 126 \, a^{4} b^{4} x^{8} + 84 \, a^{5} b^{3} x^{6} + 36 \, a^{6} b^{2} x^{4} + 9 \, a^{7} b x^{2} + a^{8}}{18 \, {\left(b^{18} x^{18} + 9 \, a b^{17} x^{16} + 36 \, a^{2} b^{16} x^{14} + 84 \, a^{3} b^{15} x^{12} + 126 \, a^{4} b^{14} x^{10} + 126 \, a^{5} b^{13} x^{8} + 84 \, a^{6} b^{12} x^{6} + 36 \, a^{7} b^{11} x^{4} + 9 \, a^{8} b^{10} x^{2} + a^{9} b^{9}\right)}}"," ",0,"-1/18*(9*b^8*x^16 + 36*a*b^7*x^14 + 84*a^2*b^6*x^12 + 126*a^3*b^5*x^10 + 126*a^4*b^4*x^8 + 84*a^5*b^3*x^6 + 36*a^6*b^2*x^4 + 9*a^7*b*x^2 + a^8)/(b^18*x^18 + 9*a*b^17*x^16 + 36*a^2*b^16*x^14 + 84*a^3*b^15*x^12 + 126*a^4*b^14*x^10 + 126*a^5*b^13*x^8 + 84*a^6*b^12*x^6 + 36*a^7*b^11*x^4 + 9*a^8*b^10*x^2 + a^9*b^9)","B",0
197,1,179,0,0.857458," ","integrate(x^15/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{36 \, b^{7} x^{14} + 84 \, a b^{6} x^{12} + 126 \, a^{2} b^{5} x^{10} + 126 \, a^{3} b^{4} x^{8} + 84 \, a^{4} b^{3} x^{6} + 36 \, a^{5} b^{2} x^{4} + 9 \, a^{6} b x^{2} + a^{7}}{144 \, {\left(b^{17} x^{18} + 9 \, a b^{16} x^{16} + 36 \, a^{2} b^{15} x^{14} + 84 \, a^{3} b^{14} x^{12} + 126 \, a^{4} b^{13} x^{10} + 126 \, a^{5} b^{12} x^{8} + 84 \, a^{6} b^{11} x^{6} + 36 \, a^{7} b^{10} x^{4} + 9 \, a^{8} b^{9} x^{2} + a^{9} b^{8}\right)}}"," ",0,"-1/144*(36*b^7*x^14 + 84*a*b^6*x^12 + 126*a^2*b^5*x^10 + 126*a^3*b^4*x^8 + 84*a^4*b^3*x^6 + 36*a^5*b^2*x^4 + 9*a^6*b*x^2 + a^7)/(b^17*x^18 + 9*a*b^16*x^16 + 36*a^2*b^15*x^14 + 84*a^3*b^14*x^12 + 126*a^4*b^13*x^10 + 126*a^5*b^12*x^8 + 84*a^6*b^11*x^6 + 36*a^7*b^10*x^4 + 9*a^8*b^9*x^2 + a^9*b^8)","B",0
198,1,168,0,0.869357," ","integrate(x^13/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{84 \, b^{6} x^{12} + 126 \, a b^{5} x^{10} + 126 \, a^{2} b^{4} x^{8} + 84 \, a^{3} b^{3} x^{6} + 36 \, a^{4} b^{2} x^{4} + 9 \, a^{5} b x^{2} + a^{6}}{504 \, {\left(b^{16} x^{18} + 9 \, a b^{15} x^{16} + 36 \, a^{2} b^{14} x^{14} + 84 \, a^{3} b^{13} x^{12} + 126 \, a^{4} b^{12} x^{10} + 126 \, a^{5} b^{11} x^{8} + 84 \, a^{6} b^{10} x^{6} + 36 \, a^{7} b^{9} x^{4} + 9 \, a^{8} b^{8} x^{2} + a^{9} b^{7}\right)}}"," ",0,"-1/504*(84*b^6*x^12 + 126*a*b^5*x^10 + 126*a^2*b^4*x^8 + 84*a^3*b^3*x^6 + 36*a^4*b^2*x^4 + 9*a^5*b*x^2 + a^6)/(b^16*x^18 + 9*a*b^15*x^16 + 36*a^2*b^14*x^14 + 84*a^3*b^13*x^12 + 126*a^4*b^12*x^10 + 126*a^5*b^11*x^8 + 84*a^6*b^10*x^6 + 36*a^7*b^9*x^4 + 9*a^8*b^8*x^2 + a^9*b^7)","B",0
199,1,157,0,1.843334," ","integrate(x^11/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{126 \, b^{5} x^{10} + 126 \, a b^{4} x^{8} + 84 \, a^{2} b^{3} x^{6} + 36 \, a^{3} b^{2} x^{4} + 9 \, a^{4} b x^{2} + a^{5}}{1008 \, {\left(b^{15} x^{18} + 9 \, a b^{14} x^{16} + 36 \, a^{2} b^{13} x^{14} + 84 \, a^{3} b^{12} x^{12} + 126 \, a^{4} b^{11} x^{10} + 126 \, a^{5} b^{10} x^{8} + 84 \, a^{6} b^{9} x^{6} + 36 \, a^{7} b^{8} x^{4} + 9 \, a^{8} b^{7} x^{2} + a^{9} b^{6}\right)}}"," ",0,"-1/1008*(126*b^5*x^10 + 126*a*b^4*x^8 + 84*a^2*b^3*x^6 + 36*a^3*b^2*x^4 + 9*a^4*b*x^2 + a^5)/(b^15*x^18 + 9*a*b^14*x^16 + 36*a^2*b^13*x^14 + 84*a^3*b^12*x^12 + 126*a^4*b^11*x^10 + 126*a^5*b^10*x^8 + 84*a^6*b^9*x^6 + 36*a^7*b^8*x^4 + 9*a^8*b^7*x^2 + a^9*b^6)","B",0
200,1,146,0,1.114017," ","integrate(x^9/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{126 \, b^{4} x^{8} + 84 \, a b^{3} x^{6} + 36 \, a^{2} b^{2} x^{4} + 9 \, a^{3} b x^{2} + a^{4}}{1260 \, {\left(b^{14} x^{18} + 9 \, a b^{13} x^{16} + 36 \, a^{2} b^{12} x^{14} + 84 \, a^{3} b^{11} x^{12} + 126 \, a^{4} b^{10} x^{10} + 126 \, a^{5} b^{9} x^{8} + 84 \, a^{6} b^{8} x^{6} + 36 \, a^{7} b^{7} x^{4} + 9 \, a^{8} b^{6} x^{2} + a^{9} b^{5}\right)}}"," ",0,"-1/1260*(126*b^4*x^8 + 84*a*b^3*x^6 + 36*a^2*b^2*x^4 + 9*a^3*b*x^2 + a^4)/(b^14*x^18 + 9*a*b^13*x^16 + 36*a^2*b^12*x^14 + 84*a^3*b^11*x^12 + 126*a^4*b^10*x^10 + 126*a^5*b^9*x^8 + 84*a^6*b^8*x^6 + 36*a^7*b^7*x^4 + 9*a^8*b^6*x^2 + a^9*b^5)","A",0
201,1,135,0,0.859479," ","integrate(x^7/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{84 \, b^{3} x^{6} + 36 \, a b^{2} x^{4} + 9 \, a^{2} b x^{2} + a^{3}}{1008 \, {\left(b^{13} x^{18} + 9 \, a b^{12} x^{16} + 36 \, a^{2} b^{11} x^{14} + 84 \, a^{3} b^{10} x^{12} + 126 \, a^{4} b^{9} x^{10} + 126 \, a^{5} b^{8} x^{8} + 84 \, a^{6} b^{7} x^{6} + 36 \, a^{7} b^{6} x^{4} + 9 \, a^{8} b^{5} x^{2} + a^{9} b^{4}\right)}}"," ",0,"-1/1008*(84*b^3*x^6 + 36*a*b^2*x^4 + 9*a^2*b*x^2 + a^3)/(b^13*x^18 + 9*a*b^12*x^16 + 36*a^2*b^11*x^14 + 84*a^3*b^10*x^12 + 126*a^4*b^9*x^10 + 126*a^5*b^8*x^8 + 84*a^6*b^7*x^6 + 36*a^7*b^6*x^4 + 9*a^8*b^5*x^2 + a^9*b^4)","B",0
202,1,124,0,0.891695," ","integrate(x^5/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{36 \, b^{2} x^{4} + 9 \, a b x^{2} + a^{2}}{504 \, {\left(b^{12} x^{18} + 9 \, a b^{11} x^{16} + 36 \, a^{2} b^{10} x^{14} + 84 \, a^{3} b^{9} x^{12} + 126 \, a^{4} b^{8} x^{10} + 126 \, a^{5} b^{7} x^{8} + 84 \, a^{6} b^{6} x^{6} + 36 \, a^{7} b^{5} x^{4} + 9 \, a^{8} b^{4} x^{2} + a^{9} b^{3}\right)}}"," ",0,"-1/504*(36*b^2*x^4 + 9*a*b*x^2 + a^2)/(b^12*x^18 + 9*a*b^11*x^16 + 36*a^2*b^10*x^14 + 84*a^3*b^9*x^12 + 126*a^4*b^8*x^10 + 126*a^5*b^7*x^8 + 84*a^6*b^6*x^6 + 36*a^7*b^5*x^4 + 9*a^8*b^4*x^2 + a^9*b^3)","B",0
203,1,113,0,0.568582," ","integrate(x^3/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{9 \, b x^{2} + a}{144 \, {\left(b^{11} x^{18} + 9 \, a b^{10} x^{16} + 36 \, a^{2} b^{9} x^{14} + 84 \, a^{3} b^{8} x^{12} + 126 \, a^{4} b^{7} x^{10} + 126 \, a^{5} b^{6} x^{8} + 84 \, a^{6} b^{5} x^{6} + 36 \, a^{7} b^{4} x^{4} + 9 \, a^{8} b^{3} x^{2} + a^{9} b^{2}\right)}}"," ",0,"-1/144*(9*b*x^2 + a)/(b^11*x^18 + 9*a*b^10*x^16 + 36*a^2*b^9*x^14 + 84*a^3*b^8*x^12 + 126*a^4*b^7*x^10 + 126*a^5*b^6*x^8 + 84*a^6*b^5*x^6 + 36*a^7*b^4*x^4 + 9*a^8*b^3*x^2 + a^9*b^2)","B",0
204,1,103,0,0.732599," ","integrate(x/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{1}{18 \, {\left(b^{10} x^{18} + 9 \, a b^{9} x^{16} + 36 \, a^{2} b^{8} x^{14} + 84 \, a^{3} b^{7} x^{12} + 126 \, a^{4} b^{6} x^{10} + 126 \, a^{5} b^{5} x^{8} + 84 \, a^{6} b^{4} x^{6} + 36 \, a^{7} b^{3} x^{4} + 9 \, a^{8} b^{2} x^{2} + a^{9} b\right)}}"," ",0,"-1/18/(b^10*x^18 + 9*a*b^9*x^16 + 36*a^2*b^8*x^14 + 84*a^3*b^7*x^12 + 126*a^4*b^6*x^10 + 126*a^5*b^5*x^8 + 84*a^6*b^4*x^6 + 36*a^7*b^3*x^4 + 9*a^8*b^2*x^2 + a^9*b)","B",0
205,1,398,0,1.005474," ","integrate(1/x/(b*x^2+a)^10,x, algorithm=""fricas"")","\frac{2520 \, a b^{8} x^{16} + 21420 \, a^{2} b^{7} x^{14} + 80220 \, a^{3} b^{6} x^{12} + 173250 \, a^{4} b^{5} x^{10} + 236754 \, a^{5} b^{4} x^{8} + 210756 \, a^{6} b^{3} x^{6} + 120564 \, a^{7} b^{2} x^{4} + 41481 \, a^{8} b x^{2} + 7129 \, a^{9} - 2520 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \log\left(b x^{2} + a\right) + 5040 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \log\left(x\right)}{5040 \, {\left(a^{10} b^{9} x^{18} + 9 \, a^{11} b^{8} x^{16} + 36 \, a^{12} b^{7} x^{14} + 84 \, a^{13} b^{6} x^{12} + 126 \, a^{14} b^{5} x^{10} + 126 \, a^{15} b^{4} x^{8} + 84 \, a^{16} b^{3} x^{6} + 36 \, a^{17} b^{2} x^{4} + 9 \, a^{18} b x^{2} + a^{19}\right)}}"," ",0,"1/5040*(2520*a*b^8*x^16 + 21420*a^2*b^7*x^14 + 80220*a^3*b^6*x^12 + 173250*a^4*b^5*x^10 + 236754*a^5*b^4*x^8 + 210756*a^6*b^3*x^6 + 120564*a^7*b^2*x^4 + 41481*a^8*b*x^2 + 7129*a^9 - 2520*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*log(b*x^2 + a) + 5040*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*log(x))/(a^10*b^9*x^18 + 9*a^11*b^8*x^16 + 36*a^12*b^7*x^14 + 84*a^13*b^6*x^12 + 126*a^14*b^5*x^10 + 126*a^15*b^4*x^8 + 84*a^16*b^3*x^6 + 36*a^17*b^2*x^4 + 9*a^18*b*x^2 + a^19)","B",0
206,1,427,0,0.682449," ","integrate(1/x^3/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{2520 \, a b^{9} x^{18} + 21420 \, a^{2} b^{8} x^{16} + 80220 \, a^{3} b^{7} x^{14} + 173250 \, a^{4} b^{6} x^{12} + 236754 \, a^{5} b^{5} x^{10} + 210756 \, a^{6} b^{4} x^{8} + 120564 \, a^{7} b^{3} x^{6} + 41481 \, a^{8} b^{2} x^{4} + 7129 \, a^{9} b x^{2} + 252 \, a^{10} - 2520 \, {\left(b^{10} x^{20} + 9 \, a b^{9} x^{18} + 36 \, a^{2} b^{8} x^{16} + 84 \, a^{3} b^{7} x^{14} + 126 \, a^{4} b^{6} x^{12} + 126 \, a^{5} b^{5} x^{10} + 84 \, a^{6} b^{4} x^{8} + 36 \, a^{7} b^{3} x^{6} + 9 \, a^{8} b^{2} x^{4} + a^{9} b x^{2}\right)} \log\left(b x^{2} + a\right) + 5040 \, {\left(b^{10} x^{20} + 9 \, a b^{9} x^{18} + 36 \, a^{2} b^{8} x^{16} + 84 \, a^{3} b^{7} x^{14} + 126 \, a^{4} b^{6} x^{12} + 126 \, a^{5} b^{5} x^{10} + 84 \, a^{6} b^{4} x^{8} + 36 \, a^{7} b^{3} x^{6} + 9 \, a^{8} b^{2} x^{4} + a^{9} b x^{2}\right)} \log\left(x\right)}{504 \, {\left(a^{11} b^{9} x^{20} + 9 \, a^{12} b^{8} x^{18} + 36 \, a^{13} b^{7} x^{16} + 84 \, a^{14} b^{6} x^{14} + 126 \, a^{15} b^{5} x^{12} + 126 \, a^{16} b^{4} x^{10} + 84 \, a^{17} b^{3} x^{8} + 36 \, a^{18} b^{2} x^{6} + 9 \, a^{19} b x^{4} + a^{20} x^{2}\right)}}"," ",0,"-1/504*(2520*a*b^9*x^18 + 21420*a^2*b^8*x^16 + 80220*a^3*b^7*x^14 + 173250*a^4*b^6*x^12 + 236754*a^5*b^5*x^10 + 210756*a^6*b^4*x^8 + 120564*a^7*b^3*x^6 + 41481*a^8*b^2*x^4 + 7129*a^9*b*x^2 + 252*a^10 - 2520*(b^10*x^20 + 9*a*b^9*x^18 + 36*a^2*b^8*x^16 + 84*a^3*b^7*x^14 + 126*a^4*b^6*x^12 + 126*a^5*b^5*x^10 + 84*a^6*b^4*x^8 + 36*a^7*b^3*x^6 + 9*a^8*b^2*x^4 + a^9*b*x^2)*log(b*x^2 + a) + 5040*(b^10*x^20 + 9*a*b^9*x^18 + 36*a^2*b^8*x^16 + 84*a^3*b^7*x^14 + 126*a^4*b^6*x^12 + 126*a^5*b^5*x^10 + 84*a^6*b^4*x^8 + 36*a^7*b^3*x^6 + 9*a^8*b^2*x^4 + a^9*b*x^2)*log(x))/(a^11*b^9*x^20 + 9*a^12*b^8*x^18 + 36*a^13*b^7*x^16 + 84*a^14*b^6*x^14 + 126*a^15*b^5*x^12 + 126*a^16*b^4*x^10 + 84*a^17*b^3*x^8 + 36*a^18*b^2*x^6 + 9*a^19*b*x^4 + a^20*x^2)","B",0
207,1,442,0,0.611988," ","integrate(1/x^5/(b*x^2+a)^10,x, algorithm=""fricas"")","\frac{27720 \, a b^{10} x^{20} + 235620 \, a^{2} b^{9} x^{18} + 882420 \, a^{3} b^{8} x^{16} + 1905750 \, a^{4} b^{7} x^{14} + 2604294 \, a^{5} b^{6} x^{12} + 2318316 \, a^{6} b^{5} x^{10} + 1326204 \, a^{7} b^{4} x^{8} + 456291 \, a^{8} b^{3} x^{6} + 78419 \, a^{9} b^{2} x^{4} + 2772 \, a^{10} b x^{2} - 252 \, a^{11} - 27720 \, {\left(b^{11} x^{22} + 9 \, a b^{10} x^{20} + 36 \, a^{2} b^{9} x^{18} + 84 \, a^{3} b^{8} x^{16} + 126 \, a^{4} b^{7} x^{14} + 126 \, a^{5} b^{6} x^{12} + 84 \, a^{6} b^{5} x^{10} + 36 \, a^{7} b^{4} x^{8} + 9 \, a^{8} b^{3} x^{6} + a^{9} b^{2} x^{4}\right)} \log\left(b x^{2} + a\right) + 55440 \, {\left(b^{11} x^{22} + 9 \, a b^{10} x^{20} + 36 \, a^{2} b^{9} x^{18} + 84 \, a^{3} b^{8} x^{16} + 126 \, a^{4} b^{7} x^{14} + 126 \, a^{5} b^{6} x^{12} + 84 \, a^{6} b^{5} x^{10} + 36 \, a^{7} b^{4} x^{8} + 9 \, a^{8} b^{3} x^{6} + a^{9} b^{2} x^{4}\right)} \log\left(x\right)}{1008 \, {\left(a^{12} b^{9} x^{22} + 9 \, a^{13} b^{8} x^{20} + 36 \, a^{14} b^{7} x^{18} + 84 \, a^{15} b^{6} x^{16} + 126 \, a^{16} b^{5} x^{14} + 126 \, a^{17} b^{4} x^{12} + 84 \, a^{18} b^{3} x^{10} + 36 \, a^{19} b^{2} x^{8} + 9 \, a^{20} b x^{6} + a^{21} x^{4}\right)}}"," ",0,"1/1008*(27720*a*b^10*x^20 + 235620*a^2*b^9*x^18 + 882420*a^3*b^8*x^16 + 1905750*a^4*b^7*x^14 + 2604294*a^5*b^6*x^12 + 2318316*a^6*b^5*x^10 + 1326204*a^7*b^4*x^8 + 456291*a^8*b^3*x^6 + 78419*a^9*b^2*x^4 + 2772*a^10*b*x^2 - 252*a^11 - 27720*(b^11*x^22 + 9*a*b^10*x^20 + 36*a^2*b^9*x^18 + 84*a^3*b^8*x^16 + 126*a^4*b^7*x^14 + 126*a^5*b^6*x^12 + 84*a^6*b^5*x^10 + 36*a^7*b^4*x^8 + 9*a^8*b^3*x^6 + a^9*b^2*x^4)*log(b*x^2 + a) + 55440*(b^11*x^22 + 9*a*b^10*x^20 + 36*a^2*b^9*x^18 + 84*a^3*b^8*x^16 + 126*a^4*b^7*x^14 + 126*a^5*b^6*x^12 + 84*a^6*b^5*x^10 + 36*a^7*b^4*x^8 + 9*a^8*b^3*x^6 + a^9*b^2*x^4)*log(x))/(a^12*b^9*x^22 + 9*a^13*b^8*x^20 + 36*a^14*b^7*x^18 + 84*a^15*b^6*x^16 + 126*a^16*b^5*x^14 + 126*a^17*b^4*x^12 + 84*a^18*b^3*x^10 + 36*a^19*b^2*x^8 + 9*a^20*b*x^6 + a^21*x^4)","B",0
208,1,453,0,1.077031," ","integrate(1/x^7/(b*x^2+a)^10,x, algorithm=""fricas"")","-\frac{27720 \, a b^{11} x^{22} + 235620 \, a^{2} b^{10} x^{20} + 882420 \, a^{3} b^{9} x^{18} + 1905750 \, a^{4} b^{8} x^{16} + 2604294 \, a^{5} b^{7} x^{14} + 2318316 \, a^{6} b^{6} x^{12} + 1326204 \, a^{7} b^{5} x^{10} + 456291 \, a^{8} b^{4} x^{8} + 78419 \, a^{9} b^{3} x^{6} + 2772 \, a^{10} b^{2} x^{4} - 252 \, a^{11} b x^{2} + 42 \, a^{12} - 27720 \, {\left(b^{12} x^{24} + 9 \, a b^{11} x^{22} + 36 \, a^{2} b^{10} x^{20} + 84 \, a^{3} b^{9} x^{18} + 126 \, a^{4} b^{8} x^{16} + 126 \, a^{5} b^{7} x^{14} + 84 \, a^{6} b^{6} x^{12} + 36 \, a^{7} b^{5} x^{10} + 9 \, a^{8} b^{4} x^{8} + a^{9} b^{3} x^{6}\right)} \log\left(b x^{2} + a\right) + 55440 \, {\left(b^{12} x^{24} + 9 \, a b^{11} x^{22} + 36 \, a^{2} b^{10} x^{20} + 84 \, a^{3} b^{9} x^{18} + 126 \, a^{4} b^{8} x^{16} + 126 \, a^{5} b^{7} x^{14} + 84 \, a^{6} b^{6} x^{12} + 36 \, a^{7} b^{5} x^{10} + 9 \, a^{8} b^{4} x^{8} + a^{9} b^{3} x^{6}\right)} \log\left(x\right)}{252 \, {\left(a^{13} b^{9} x^{24} + 9 \, a^{14} b^{8} x^{22} + 36 \, a^{15} b^{7} x^{20} + 84 \, a^{16} b^{6} x^{18} + 126 \, a^{17} b^{5} x^{16} + 126 \, a^{18} b^{4} x^{14} + 84 \, a^{19} b^{3} x^{12} + 36 \, a^{20} b^{2} x^{10} + 9 \, a^{21} b x^{8} + a^{22} x^{6}\right)}}"," ",0,"-1/252*(27720*a*b^11*x^22 + 235620*a^2*b^10*x^20 + 882420*a^3*b^9*x^18 + 1905750*a^4*b^8*x^16 + 2604294*a^5*b^7*x^14 + 2318316*a^6*b^6*x^12 + 1326204*a^7*b^5*x^10 + 456291*a^8*b^4*x^8 + 78419*a^9*b^3*x^6 + 2772*a^10*b^2*x^4 - 252*a^11*b*x^2 + 42*a^12 - 27720*(b^12*x^24 + 9*a*b^11*x^22 + 36*a^2*b^10*x^20 + 84*a^3*b^9*x^18 + 126*a^4*b^8*x^16 + 126*a^5*b^7*x^14 + 84*a^6*b^6*x^12 + 36*a^7*b^5*x^10 + 9*a^8*b^4*x^8 + a^9*b^3*x^6)*log(b*x^2 + a) + 55440*(b^12*x^24 + 9*a*b^11*x^22 + 36*a^2*b^10*x^20 + 84*a^3*b^9*x^18 + 126*a^4*b^8*x^16 + 126*a^5*b^7*x^14 + 84*a^6*b^6*x^12 + 36*a^7*b^5*x^10 + 9*a^8*b^4*x^8 + a^9*b^3*x^6)*log(x))/(a^13*b^9*x^24 + 9*a^14*b^8*x^22 + 36*a^15*b^7*x^20 + 84*a^16*b^6*x^18 + 126*a^17*b^5*x^16 + 126*a^18*b^4*x^14 + 84*a^19*b^3*x^12 + 36*a^20*b^2*x^10 + 9*a^21*b*x^8 + a^22*x^6)","B",0
209,1,718,0,1.092307," ","integrate(x^24/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{1179648 \, b^{11} x^{23} - 9043968 \, a b^{10} x^{21} + 189923328 \, a^{2} b^{9} x^{19} + 2939264622 \, a^{3} b^{8} x^{17} + 14647997028 \, a^{4} b^{7} x^{15} + 39125185092 \, a^{5} b^{6} x^{13} + 64629714708 \, a^{6} b^{5} x^{11} + 69621972992 \, a^{7} b^{4} x^{9} + 49297150188 \, a^{8} b^{3} x^{7} + 22220049852 \, a^{9} b^{2} x^{5} + 5800414620 \, a^{10} b x^{3} + 669278610 \, a^{11} x + 334639305 \, {\left(a^{2} b^{9} x^{18} + 9 \, a^{3} b^{8} x^{16} + 36 \, a^{4} b^{7} x^{14} + 84 \, a^{5} b^{6} x^{12} + 126 \, a^{6} b^{5} x^{10} + 126 \, a^{7} b^{4} x^{8} + 84 \, a^{8} b^{3} x^{6} + 36 \, a^{9} b^{2} x^{4} + 9 \, a^{10} b x^{2} + a^{11}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{5898240 \, {\left(b^{21} x^{18} + 9 \, a b^{20} x^{16} + 36 \, a^{2} b^{19} x^{14} + 84 \, a^{3} b^{18} x^{12} + 126 \, a^{4} b^{17} x^{10} + 126 \, a^{5} b^{16} x^{8} + 84 \, a^{6} b^{15} x^{6} + 36 \, a^{7} b^{14} x^{4} + 9 \, a^{8} b^{13} x^{2} + a^{9} b^{12}\right)}}, \frac{589824 \, b^{11} x^{23} - 4521984 \, a b^{10} x^{21} + 94961664 \, a^{2} b^{9} x^{19} + 1469632311 \, a^{3} b^{8} x^{17} + 7323998514 \, a^{4} b^{7} x^{15} + 19562592546 \, a^{5} b^{6} x^{13} + 32314857354 \, a^{6} b^{5} x^{11} + 34810986496 \, a^{7} b^{4} x^{9} + 24648575094 \, a^{8} b^{3} x^{7} + 11110024926 \, a^{9} b^{2} x^{5} + 2900207310 \, a^{10} b x^{3} + 334639305 \, a^{11} x - 334639305 \, {\left(a^{2} b^{9} x^{18} + 9 \, a^{3} b^{8} x^{16} + 36 \, a^{4} b^{7} x^{14} + 84 \, a^{5} b^{6} x^{12} + 126 \, a^{6} b^{5} x^{10} + 126 \, a^{7} b^{4} x^{8} + 84 \, a^{8} b^{3} x^{6} + 36 \, a^{9} b^{2} x^{4} + 9 \, a^{10} b x^{2} + a^{11}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{2949120 \, {\left(b^{21} x^{18} + 9 \, a b^{20} x^{16} + 36 \, a^{2} b^{19} x^{14} + 84 \, a^{3} b^{18} x^{12} + 126 \, a^{4} b^{17} x^{10} + 126 \, a^{5} b^{16} x^{8} + 84 \, a^{6} b^{15} x^{6} + 36 \, a^{7} b^{14} x^{4} + 9 \, a^{8} b^{13} x^{2} + a^{9} b^{12}\right)}}\right]"," ",0,"[1/5898240*(1179648*b^11*x^23 - 9043968*a*b^10*x^21 + 189923328*a^2*b^9*x^19 + 2939264622*a^3*b^8*x^17 + 14647997028*a^4*b^7*x^15 + 39125185092*a^5*b^6*x^13 + 64629714708*a^6*b^5*x^11 + 69621972992*a^7*b^4*x^9 + 49297150188*a^8*b^3*x^7 + 22220049852*a^9*b^2*x^5 + 5800414620*a^10*b*x^3 + 669278610*a^11*x + 334639305*(a^2*b^9*x^18 + 9*a^3*b^8*x^16 + 36*a^4*b^7*x^14 + 84*a^5*b^6*x^12 + 126*a^6*b^5*x^10 + 126*a^7*b^4*x^8 + 84*a^8*b^3*x^6 + 36*a^9*b^2*x^4 + 9*a^10*b*x^2 + a^11)*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^21*x^18 + 9*a*b^20*x^16 + 36*a^2*b^19*x^14 + 84*a^3*b^18*x^12 + 126*a^4*b^17*x^10 + 126*a^5*b^16*x^8 + 84*a^6*b^15*x^6 + 36*a^7*b^14*x^4 + 9*a^8*b^13*x^2 + a^9*b^12), 1/2949120*(589824*b^11*x^23 - 4521984*a*b^10*x^21 + 94961664*a^2*b^9*x^19 + 1469632311*a^3*b^8*x^17 + 7323998514*a^4*b^7*x^15 + 19562592546*a^5*b^6*x^13 + 32314857354*a^6*b^5*x^11 + 34810986496*a^7*b^4*x^9 + 24648575094*a^8*b^3*x^7 + 11110024926*a^9*b^2*x^5 + 2900207310*a^10*b*x^3 + 334639305*a^11*x - 334639305*(a^2*b^9*x^18 + 9*a^3*b^8*x^16 + 36*a^4*b^7*x^14 + 84*a^5*b^6*x^12 + 126*a^6*b^5*x^10 + 126*a^7*b^4*x^8 + 84*a^8*b^3*x^6 + 36*a^9*b^2*x^4 + 9*a^10*b*x^2 + a^11)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^21*x^18 + 9*a*b^20*x^16 + 36*a^2*b^19*x^14 + 84*a^3*b^18*x^12 + 126*a^4*b^17*x^10 + 126*a^5*b^16*x^8 + 84*a^6*b^15*x^6 + 36*a^7*b^14*x^4 + 9*a^8*b^13*x^2 + a^9*b^12)]","A",0
210,1,692,0,0.811636," ","integrate(x^22/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{393216 \, b^{10} x^{21} - 8257536 \, a b^{9} x^{19} - 127794114 \, a^{2} b^{8} x^{17} - 636869436 \, a^{3} b^{7} x^{15} - 1701095004 \, a^{4} b^{6} x^{13} - 2809987596 \, a^{5} b^{5} x^{11} - 3027042304 \, a^{6} b^{4} x^{9} - 2143354356 \, a^{7} b^{3} x^{7} - 966089124 \, a^{8} b^{2} x^{5} - 252191940 \, a^{9} b x^{3} - 29099070 \, a^{10} x + 14549535 \, {\left(a b^{9} x^{18} + 9 \, a^{2} b^{8} x^{16} + 36 \, a^{3} b^{7} x^{14} + 84 \, a^{4} b^{6} x^{12} + 126 \, a^{5} b^{5} x^{10} + 126 \, a^{6} b^{4} x^{8} + 84 \, a^{7} b^{3} x^{6} + 36 \, a^{8} b^{2} x^{4} + 9 \, a^{9} b x^{2} + a^{10}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{1179648 \, {\left(b^{20} x^{18} + 9 \, a b^{19} x^{16} + 36 \, a^{2} b^{18} x^{14} + 84 \, a^{3} b^{17} x^{12} + 126 \, a^{4} b^{16} x^{10} + 126 \, a^{5} b^{15} x^{8} + 84 \, a^{6} b^{14} x^{6} + 36 \, a^{7} b^{13} x^{4} + 9 \, a^{8} b^{12} x^{2} + a^{9} b^{11}\right)}}, \frac{196608 \, b^{10} x^{21} - 4128768 \, a b^{9} x^{19} - 63897057 \, a^{2} b^{8} x^{17} - 318434718 \, a^{3} b^{7} x^{15} - 850547502 \, a^{4} b^{6} x^{13} - 1404993798 \, a^{5} b^{5} x^{11} - 1513521152 \, a^{6} b^{4} x^{9} - 1071677178 \, a^{7} b^{3} x^{7} - 483044562 \, a^{8} b^{2} x^{5} - 126095970 \, a^{9} b x^{3} - 14549535 \, a^{10} x + 14549535 \, {\left(a b^{9} x^{18} + 9 \, a^{2} b^{8} x^{16} + 36 \, a^{3} b^{7} x^{14} + 84 \, a^{4} b^{6} x^{12} + 126 \, a^{5} b^{5} x^{10} + 126 \, a^{6} b^{4} x^{8} + 84 \, a^{7} b^{3} x^{6} + 36 \, a^{8} b^{2} x^{4} + 9 \, a^{9} b x^{2} + a^{10}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{589824 \, {\left(b^{20} x^{18} + 9 \, a b^{19} x^{16} + 36 \, a^{2} b^{18} x^{14} + 84 \, a^{3} b^{17} x^{12} + 126 \, a^{4} b^{16} x^{10} + 126 \, a^{5} b^{15} x^{8} + 84 \, a^{6} b^{14} x^{6} + 36 \, a^{7} b^{13} x^{4} + 9 \, a^{8} b^{12} x^{2} + a^{9} b^{11}\right)}}\right]"," ",0,"[1/1179648*(393216*b^10*x^21 - 8257536*a*b^9*x^19 - 127794114*a^2*b^8*x^17 - 636869436*a^3*b^7*x^15 - 1701095004*a^4*b^6*x^13 - 2809987596*a^5*b^5*x^11 - 3027042304*a^6*b^4*x^9 - 2143354356*a^7*b^3*x^7 - 966089124*a^8*b^2*x^5 - 252191940*a^9*b*x^3 - 29099070*a^10*x + 14549535*(a*b^9*x^18 + 9*a^2*b^8*x^16 + 36*a^3*b^7*x^14 + 84*a^4*b^6*x^12 + 126*a^5*b^5*x^10 + 126*a^6*b^4*x^8 + 84*a^7*b^3*x^6 + 36*a^8*b^2*x^4 + 9*a^9*b*x^2 + a^10)*sqrt(-a/b)*log((b*x^2 + 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^20*x^18 + 9*a*b^19*x^16 + 36*a^2*b^18*x^14 + 84*a^3*b^17*x^12 + 126*a^4*b^16*x^10 + 126*a^5*b^15*x^8 + 84*a^6*b^14*x^6 + 36*a^7*b^13*x^4 + 9*a^8*b^12*x^2 + a^9*b^11), 1/589824*(196608*b^10*x^21 - 4128768*a*b^9*x^19 - 63897057*a^2*b^8*x^17 - 318434718*a^3*b^7*x^15 - 850547502*a^4*b^6*x^13 - 1404993798*a^5*b^5*x^11 - 1513521152*a^6*b^4*x^9 - 1071677178*a^7*b^3*x^7 - 483044562*a^8*b^2*x^5 - 126095970*a^9*b*x^3 - 14549535*a^10*x + 14549535*(a*b^9*x^18 + 9*a^2*b^8*x^16 + 36*a^3*b^7*x^14 + 84*a^4*b^6*x^12 + 126*a^5*b^5*x^10 + 126*a^6*b^4*x^8 + 84*a^7*b^3*x^6 + 36*a^8*b^2*x^4 + 9*a^9*b*x^2 + a^10)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^20*x^18 + 9*a*b^19*x^16 + 36*a^2*b^18*x^14 + 84*a^3*b^17*x^12 + 126*a^4*b^16*x^10 + 126*a^5*b^15*x^8 + 84*a^6*b^14*x^6 + 36*a^7*b^13*x^4 + 9*a^8*b^12*x^2 + a^9*b^11)]","A",0
211,1,664,0,0.760614," ","integrate(x^20/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{8257536 \, b^{9} x^{19} + 127794114 \, a b^{8} x^{17} + 636869436 \, a^{2} b^{7} x^{15} + 1701095004 \, a^{3} b^{6} x^{13} + 2809987596 \, a^{4} b^{5} x^{11} + 3027042304 \, a^{5} b^{4} x^{9} + 2143354356 \, a^{6} b^{3} x^{7} + 966089124 \, a^{7} b^{2} x^{5} + 252191940 \, a^{8} b x^{3} + 29099070 \, a^{9} x + 14549535 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right)}{8257536 \, {\left(b^{19} x^{18} + 9 \, a b^{18} x^{16} + 36 \, a^{2} b^{17} x^{14} + 84 \, a^{3} b^{16} x^{12} + 126 \, a^{4} b^{15} x^{10} + 126 \, a^{5} b^{14} x^{8} + 84 \, a^{6} b^{13} x^{6} + 36 \, a^{7} b^{12} x^{4} + 9 \, a^{8} b^{11} x^{2} + a^{9} b^{10}\right)}}, \frac{4128768 \, b^{9} x^{19} + 63897057 \, a b^{8} x^{17} + 318434718 \, a^{2} b^{7} x^{15} + 850547502 \, a^{3} b^{6} x^{13} + 1404993798 \, a^{4} b^{5} x^{11} + 1513521152 \, a^{5} b^{4} x^{9} + 1071677178 \, a^{6} b^{3} x^{7} + 483044562 \, a^{7} b^{2} x^{5} + 126095970 \, a^{8} b x^{3} + 14549535 \, a^{9} x - 14549535 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right)}{4128768 \, {\left(b^{19} x^{18} + 9 \, a b^{18} x^{16} + 36 \, a^{2} b^{17} x^{14} + 84 \, a^{3} b^{16} x^{12} + 126 \, a^{4} b^{15} x^{10} + 126 \, a^{5} b^{14} x^{8} + 84 \, a^{6} b^{13} x^{6} + 36 \, a^{7} b^{12} x^{4} + 9 \, a^{8} b^{11} x^{2} + a^{9} b^{10}\right)}}\right]"," ",0,"[1/8257536*(8257536*b^9*x^19 + 127794114*a*b^8*x^17 + 636869436*a^2*b^7*x^15 + 1701095004*a^3*b^6*x^13 + 2809987596*a^4*b^5*x^11 + 3027042304*a^5*b^4*x^9 + 2143354356*a^6*b^3*x^7 + 966089124*a^7*b^2*x^5 + 252191940*a^8*b*x^3 + 29099070*a^9*x + 14549535*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)))/(b^19*x^18 + 9*a*b^18*x^16 + 36*a^2*b^17*x^14 + 84*a^3*b^16*x^12 + 126*a^4*b^15*x^10 + 126*a^5*b^14*x^8 + 84*a^6*b^13*x^6 + 36*a^7*b^12*x^4 + 9*a^8*b^11*x^2 + a^9*b^10), 1/4128768*(4128768*b^9*x^19 + 63897057*a*b^8*x^17 + 318434718*a^2*b^7*x^15 + 850547502*a^3*b^6*x^13 + 1404993798*a^4*b^5*x^11 + 1513521152*a^5*b^4*x^9 + 1071677178*a^6*b^3*x^7 + 483044562*a^7*b^2*x^5 + 126095970*a^8*b*x^3 + 14549535*a^9*x - 14549535*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a))/(b^19*x^18 + 9*a*b^18*x^16 + 36*a^2*b^17*x^14 + 84*a^3*b^16*x^12 + 126*a^4*b^15*x^10 + 126*a^5*b^14*x^8 + 84*a^6*b^13*x^6 + 36*a^7*b^12*x^4 + 9*a^8*b^11*x^2 + a^9*b^10)]","A",0
212,1,650,0,0.587899," ","integrate(x^18/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[-\frac{6726006 \, a b^{9} x^{17} + 33519444 \, a^{2} b^{8} x^{15} + 89531316 \, a^{3} b^{7} x^{13} + 147894084 \, a^{4} b^{6} x^{11} + 159318016 \, a^{5} b^{5} x^{9} + 112808124 \, a^{6} b^{4} x^{7} + 50846796 \, a^{7} b^{3} x^{5} + 13273260 \, a^{8} b^{2} x^{3} + 1531530 \, a^{9} b x + 765765 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{8257536 \, {\left(a b^{19} x^{18} + 9 \, a^{2} b^{18} x^{16} + 36 \, a^{3} b^{17} x^{14} + 84 \, a^{4} b^{16} x^{12} + 126 \, a^{5} b^{15} x^{10} + 126 \, a^{6} b^{14} x^{8} + 84 \, a^{7} b^{13} x^{6} + 36 \, a^{8} b^{12} x^{4} + 9 \, a^{9} b^{11} x^{2} + a^{10} b^{10}\right)}}, -\frac{3363003 \, a b^{9} x^{17} + 16759722 \, a^{2} b^{8} x^{15} + 44765658 \, a^{3} b^{7} x^{13} + 73947042 \, a^{4} b^{6} x^{11} + 79659008 \, a^{5} b^{5} x^{9} + 56404062 \, a^{6} b^{4} x^{7} + 25423398 \, a^{7} b^{3} x^{5} + 6636630 \, a^{8} b^{2} x^{3} + 765765 \, a^{9} b x - 765765 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{4128768 \, {\left(a b^{19} x^{18} + 9 \, a^{2} b^{18} x^{16} + 36 \, a^{3} b^{17} x^{14} + 84 \, a^{4} b^{16} x^{12} + 126 \, a^{5} b^{15} x^{10} + 126 \, a^{6} b^{14} x^{8} + 84 \, a^{7} b^{13} x^{6} + 36 \, a^{8} b^{12} x^{4} + 9 \, a^{9} b^{11} x^{2} + a^{10} b^{10}\right)}}\right]"," ",0,"[-1/8257536*(6726006*a*b^9*x^17 + 33519444*a^2*b^8*x^15 + 89531316*a^3*b^7*x^13 + 147894084*a^4*b^6*x^11 + 159318016*a^5*b^5*x^9 + 112808124*a^6*b^4*x^7 + 50846796*a^7*b^3*x^5 + 13273260*a^8*b^2*x^3 + 1531530*a^9*b*x + 765765*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a*b^19*x^18 + 9*a^2*b^18*x^16 + 36*a^3*b^17*x^14 + 84*a^4*b^16*x^12 + 126*a^5*b^15*x^10 + 126*a^6*b^14*x^8 + 84*a^7*b^13*x^6 + 36*a^8*b^12*x^4 + 9*a^9*b^11*x^2 + a^10*b^10), -1/4128768*(3363003*a*b^9*x^17 + 16759722*a^2*b^8*x^15 + 44765658*a^3*b^7*x^13 + 73947042*a^4*b^6*x^11 + 79659008*a^5*b^5*x^9 + 56404062*a^6*b^4*x^7 + 25423398*a^7*b^3*x^5 + 6636630*a^8*b^2*x^3 + 765765*a^9*b*x - 765765*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a*b^19*x^18 + 9*a^2*b^18*x^16 + 36*a^3*b^17*x^14 + 84*a^4*b^16*x^12 + 126*a^5*b^15*x^10 + 126*a^6*b^14*x^8 + 84*a^7*b^13*x^6 + 36*a^8*b^12*x^4 + 9*a^9*b^11*x^2 + a^10*b^10)]","A",0
213,1,654,0,0.976470," ","integrate(x^16/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{90090 \, a b^{9} x^{17} - 1971732 \, a^{2} b^{8} x^{15} - 5266548 \, a^{3} b^{7} x^{13} - 8699652 \, a^{4} b^{6} x^{11} - 9371648 \, a^{5} b^{5} x^{9} - 6635772 \, a^{6} b^{4} x^{7} - 2990988 \, a^{7} b^{3} x^{5} - 780780 \, a^{8} b^{2} x^{3} - 90090 \, a^{9} b x - 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{8257536 \, {\left(a^{2} b^{18} x^{18} + 9 \, a^{3} b^{17} x^{16} + 36 \, a^{4} b^{16} x^{14} + 84 \, a^{5} b^{15} x^{12} + 126 \, a^{6} b^{14} x^{10} + 126 \, a^{7} b^{13} x^{8} + 84 \, a^{8} b^{12} x^{6} + 36 \, a^{9} b^{11} x^{4} + 9 \, a^{10} b^{10} x^{2} + a^{11} b^{9}\right)}}, \frac{45045 \, a b^{9} x^{17} - 985866 \, a^{2} b^{8} x^{15} - 2633274 \, a^{3} b^{7} x^{13} - 4349826 \, a^{4} b^{6} x^{11} - 4685824 \, a^{5} b^{5} x^{9} - 3317886 \, a^{6} b^{4} x^{7} - 1495494 \, a^{7} b^{3} x^{5} - 390390 \, a^{8} b^{2} x^{3} - 45045 \, a^{9} b x + 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{4128768 \, {\left(a^{2} b^{18} x^{18} + 9 \, a^{3} b^{17} x^{16} + 36 \, a^{4} b^{16} x^{14} + 84 \, a^{5} b^{15} x^{12} + 126 \, a^{6} b^{14} x^{10} + 126 \, a^{7} b^{13} x^{8} + 84 \, a^{8} b^{12} x^{6} + 36 \, a^{9} b^{11} x^{4} + 9 \, a^{10} b^{10} x^{2} + a^{11} b^{9}\right)}}\right]"," ",0,"[1/8257536*(90090*a*b^9*x^17 - 1971732*a^2*b^8*x^15 - 5266548*a^3*b^7*x^13 - 8699652*a^4*b^6*x^11 - 9371648*a^5*b^5*x^9 - 6635772*a^6*b^4*x^7 - 2990988*a^7*b^3*x^5 - 780780*a^8*b^2*x^3 - 90090*a^9*b*x - 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^2*b^18*x^18 + 9*a^3*b^17*x^16 + 36*a^4*b^16*x^14 + 84*a^5*b^15*x^12 + 126*a^6*b^14*x^10 + 126*a^7*b^13*x^8 + 84*a^8*b^12*x^6 + 36*a^9*b^11*x^4 + 9*a^10*b^10*x^2 + a^11*b^9), 1/4128768*(45045*a*b^9*x^17 - 985866*a^2*b^8*x^15 - 2633274*a^3*b^7*x^13 - 4349826*a^4*b^6*x^11 - 4685824*a^5*b^5*x^9 - 3317886*a^6*b^4*x^7 - 1495494*a^7*b^3*x^5 - 390390*a^8*b^2*x^3 - 45045*a^9*b*x + 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^2*b^18*x^18 + 9*a^3*b^17*x^16 + 36*a^4*b^16*x^14 + 84*a^5*b^15*x^12 + 126*a^6*b^14*x^10 + 126*a^7*b^13*x^8 + 84*a^8*b^12*x^6 + 36*a^9*b^11*x^4 + 9*a^10*b^10*x^2 + a^11*b^9)]","A",0
214,1,654,0,0.804645," ","integrate(x^14/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{90090 \, a b^{9} x^{17} + 780780 \, a^{2} b^{8} x^{15} - 5266548 \, a^{3} b^{7} x^{13} - 8699652 \, a^{4} b^{6} x^{11} - 9371648 \, a^{5} b^{5} x^{9} - 6635772 \, a^{6} b^{4} x^{7} - 2990988 \, a^{7} b^{3} x^{5} - 780780 \, a^{8} b^{2} x^{3} - 90090 \, a^{9} b x - 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{41287680 \, {\left(a^{3} b^{17} x^{18} + 9 \, a^{4} b^{16} x^{16} + 36 \, a^{5} b^{15} x^{14} + 84 \, a^{6} b^{14} x^{12} + 126 \, a^{7} b^{13} x^{10} + 126 \, a^{8} b^{12} x^{8} + 84 \, a^{9} b^{11} x^{6} + 36 \, a^{10} b^{10} x^{4} + 9 \, a^{11} b^{9} x^{2} + a^{12} b^{8}\right)}}, \frac{45045 \, a b^{9} x^{17} + 390390 \, a^{2} b^{8} x^{15} - 2633274 \, a^{3} b^{7} x^{13} - 4349826 \, a^{4} b^{6} x^{11} - 4685824 \, a^{5} b^{5} x^{9} - 3317886 \, a^{6} b^{4} x^{7} - 1495494 \, a^{7} b^{3} x^{5} - 390390 \, a^{8} b^{2} x^{3} - 45045 \, a^{9} b x + 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{20643840 \, {\left(a^{3} b^{17} x^{18} + 9 \, a^{4} b^{16} x^{16} + 36 \, a^{5} b^{15} x^{14} + 84 \, a^{6} b^{14} x^{12} + 126 \, a^{7} b^{13} x^{10} + 126 \, a^{8} b^{12} x^{8} + 84 \, a^{9} b^{11} x^{6} + 36 \, a^{10} b^{10} x^{4} + 9 \, a^{11} b^{9} x^{2} + a^{12} b^{8}\right)}}\right]"," ",0,"[1/41287680*(90090*a*b^9*x^17 + 780780*a^2*b^8*x^15 - 5266548*a^3*b^7*x^13 - 8699652*a^4*b^6*x^11 - 9371648*a^5*b^5*x^9 - 6635772*a^6*b^4*x^7 - 2990988*a^7*b^3*x^5 - 780780*a^8*b^2*x^3 - 90090*a^9*b*x - 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^3*b^17*x^18 + 9*a^4*b^16*x^16 + 36*a^5*b^15*x^14 + 84*a^6*b^14*x^12 + 126*a^7*b^13*x^10 + 126*a^8*b^12*x^8 + 84*a^9*b^11*x^6 + 36*a^10*b^10*x^4 + 9*a^11*b^9*x^2 + a^12*b^8), 1/20643840*(45045*a*b^9*x^17 + 390390*a^2*b^8*x^15 - 2633274*a^3*b^7*x^13 - 4349826*a^4*b^6*x^11 - 4685824*a^5*b^5*x^9 - 3317886*a^6*b^4*x^7 - 1495494*a^7*b^3*x^5 - 390390*a^8*b^2*x^3 - 45045*a^9*b*x + 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^3*b^17*x^18 + 9*a^4*b^16*x^16 + 36*a^5*b^15*x^14 + 84*a^6*b^14*x^12 + 126*a^7*b^13*x^10 + 126*a^8*b^12*x^8 + 84*a^9*b^11*x^6 + 36*a^10*b^10*x^4 + 9*a^11*b^9*x^2 + a^12*b^8)]","A",0
215,1,654,0,0.857366," ","integrate(x^12/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{6930 \, a b^{9} x^{17} + 60060 \, a^{2} b^{8} x^{15} + 230076 \, a^{3} b^{7} x^{13} - 669204 \, a^{4} b^{6} x^{11} - 720896 \, a^{5} b^{5} x^{9} - 510444 \, a^{6} b^{4} x^{7} - 230076 \, a^{7} b^{3} x^{5} - 60060 \, a^{8} b^{2} x^{3} - 6930 \, a^{9} b x - 3465 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{8257536 \, {\left(a^{4} b^{16} x^{18} + 9 \, a^{5} b^{15} x^{16} + 36 \, a^{6} b^{14} x^{14} + 84 \, a^{7} b^{13} x^{12} + 126 \, a^{8} b^{12} x^{10} + 126 \, a^{9} b^{11} x^{8} + 84 \, a^{10} b^{10} x^{6} + 36 \, a^{11} b^{9} x^{4} + 9 \, a^{12} b^{8} x^{2} + a^{13} b^{7}\right)}}, \frac{3465 \, a b^{9} x^{17} + 30030 \, a^{2} b^{8} x^{15} + 115038 \, a^{3} b^{7} x^{13} - 334602 \, a^{4} b^{6} x^{11} - 360448 \, a^{5} b^{5} x^{9} - 255222 \, a^{6} b^{4} x^{7} - 115038 \, a^{7} b^{3} x^{5} - 30030 \, a^{8} b^{2} x^{3} - 3465 \, a^{9} b x + 3465 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{4128768 \, {\left(a^{4} b^{16} x^{18} + 9 \, a^{5} b^{15} x^{16} + 36 \, a^{6} b^{14} x^{14} + 84 \, a^{7} b^{13} x^{12} + 126 \, a^{8} b^{12} x^{10} + 126 \, a^{9} b^{11} x^{8} + 84 \, a^{10} b^{10} x^{6} + 36 \, a^{11} b^{9} x^{4} + 9 \, a^{12} b^{8} x^{2} + a^{13} b^{7}\right)}}\right]"," ",0,"[1/8257536*(6930*a*b^9*x^17 + 60060*a^2*b^8*x^15 + 230076*a^3*b^7*x^13 - 669204*a^4*b^6*x^11 - 720896*a^5*b^5*x^9 - 510444*a^6*b^4*x^7 - 230076*a^7*b^3*x^5 - 60060*a^8*b^2*x^3 - 6930*a^9*b*x - 3465*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^4*b^16*x^18 + 9*a^5*b^15*x^16 + 36*a^6*b^14*x^14 + 84*a^7*b^13*x^12 + 126*a^8*b^12*x^10 + 126*a^9*b^11*x^8 + 84*a^10*b^10*x^6 + 36*a^11*b^9*x^4 + 9*a^12*b^8*x^2 + a^13*b^7), 1/4128768*(3465*a*b^9*x^17 + 30030*a^2*b^8*x^15 + 115038*a^3*b^7*x^13 - 334602*a^4*b^6*x^11 - 360448*a^5*b^5*x^9 - 255222*a^6*b^4*x^7 - 115038*a^7*b^3*x^5 - 30030*a^8*b^2*x^3 - 3465*a^9*b*x + 3465*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^4*b^16*x^18 + 9*a^5*b^15*x^16 + 36*a^6*b^14*x^14 + 84*a^7*b^13*x^12 + 126*a^8*b^12*x^10 + 126*a^9*b^11*x^8 + 84*a^10*b^10*x^6 + 36*a^11*b^9*x^4 + 9*a^12*b^8*x^2 + a^13*b^7)]","A",0
216,1,654,0,0.901249," ","integrate(x^10/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{630 \, a b^{9} x^{17} + 5460 \, a^{2} b^{8} x^{15} + 20916 \, a^{3} b^{7} x^{13} + 46404 \, a^{4} b^{6} x^{11} - 65536 \, a^{5} b^{5} x^{9} - 46404 \, a^{6} b^{4} x^{7} - 20916 \, a^{7} b^{3} x^{5} - 5460 \, a^{8} b^{2} x^{3} - 630 \, a^{9} b x - 315 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{1179648 \, {\left(a^{5} b^{15} x^{18} + 9 \, a^{6} b^{14} x^{16} + 36 \, a^{7} b^{13} x^{14} + 84 \, a^{8} b^{12} x^{12} + 126 \, a^{9} b^{11} x^{10} + 126 \, a^{10} b^{10} x^{8} + 84 \, a^{11} b^{9} x^{6} + 36 \, a^{12} b^{8} x^{4} + 9 \, a^{13} b^{7} x^{2} + a^{14} b^{6}\right)}}, \frac{315 \, a b^{9} x^{17} + 2730 \, a^{2} b^{8} x^{15} + 10458 \, a^{3} b^{7} x^{13} + 23202 \, a^{4} b^{6} x^{11} - 32768 \, a^{5} b^{5} x^{9} - 23202 \, a^{6} b^{4} x^{7} - 10458 \, a^{7} b^{3} x^{5} - 2730 \, a^{8} b^{2} x^{3} - 315 \, a^{9} b x + 315 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{589824 \, {\left(a^{5} b^{15} x^{18} + 9 \, a^{6} b^{14} x^{16} + 36 \, a^{7} b^{13} x^{14} + 84 \, a^{8} b^{12} x^{12} + 126 \, a^{9} b^{11} x^{10} + 126 \, a^{10} b^{10} x^{8} + 84 \, a^{11} b^{9} x^{6} + 36 \, a^{12} b^{8} x^{4} + 9 \, a^{13} b^{7} x^{2} + a^{14} b^{6}\right)}}\right]"," ",0,"[1/1179648*(630*a*b^9*x^17 + 5460*a^2*b^8*x^15 + 20916*a^3*b^7*x^13 + 46404*a^4*b^6*x^11 - 65536*a^5*b^5*x^9 - 46404*a^6*b^4*x^7 - 20916*a^7*b^3*x^5 - 5460*a^8*b^2*x^3 - 630*a^9*b*x - 315*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^5*b^15*x^18 + 9*a^6*b^14*x^16 + 36*a^7*b^13*x^14 + 84*a^8*b^12*x^12 + 126*a^9*b^11*x^10 + 126*a^10*b^10*x^8 + 84*a^11*b^9*x^6 + 36*a^12*b^8*x^4 + 9*a^13*b^7*x^2 + a^14*b^6), 1/589824*(315*a*b^9*x^17 + 2730*a^2*b^8*x^15 + 10458*a^3*b^7*x^13 + 23202*a^4*b^6*x^11 - 32768*a^5*b^5*x^9 - 23202*a^6*b^4*x^7 - 10458*a^7*b^3*x^5 - 2730*a^8*b^2*x^3 - 315*a^9*b*x + 315*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^5*b^15*x^18 + 9*a^6*b^14*x^16 + 36*a^7*b^13*x^14 + 84*a^8*b^12*x^12 + 126*a^9*b^11*x^10 + 126*a^10*b^10*x^8 + 84*a^11*b^9*x^6 + 36*a^12*b^8*x^4 + 9*a^13*b^7*x^2 + a^14*b^6)]","A",0
217,1,654,0,0.850027," ","integrate(x^8/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{630 \, a b^{9} x^{17} + 5460 \, a^{2} b^{8} x^{15} + 20916 \, a^{3} b^{7} x^{13} + 46404 \, a^{4} b^{6} x^{11} + 65536 \, a^{5} b^{5} x^{9} - 46404 \, a^{6} b^{4} x^{7} - 20916 \, a^{7} b^{3} x^{5} - 5460 \, a^{8} b^{2} x^{3} - 630 \, a^{9} b x - 315 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{1179648 \, {\left(a^{6} b^{14} x^{18} + 9 \, a^{7} b^{13} x^{16} + 36 \, a^{8} b^{12} x^{14} + 84 \, a^{9} b^{11} x^{12} + 126 \, a^{10} b^{10} x^{10} + 126 \, a^{11} b^{9} x^{8} + 84 \, a^{12} b^{8} x^{6} + 36 \, a^{13} b^{7} x^{4} + 9 \, a^{14} b^{6} x^{2} + a^{15} b^{5}\right)}}, \frac{315 \, a b^{9} x^{17} + 2730 \, a^{2} b^{8} x^{15} + 10458 \, a^{3} b^{7} x^{13} + 23202 \, a^{4} b^{6} x^{11} + 32768 \, a^{5} b^{5} x^{9} - 23202 \, a^{6} b^{4} x^{7} - 10458 \, a^{7} b^{3} x^{5} - 2730 \, a^{8} b^{2} x^{3} - 315 \, a^{9} b x + 315 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{589824 \, {\left(a^{6} b^{14} x^{18} + 9 \, a^{7} b^{13} x^{16} + 36 \, a^{8} b^{12} x^{14} + 84 \, a^{9} b^{11} x^{12} + 126 \, a^{10} b^{10} x^{10} + 126 \, a^{11} b^{9} x^{8} + 84 \, a^{12} b^{8} x^{6} + 36 \, a^{13} b^{7} x^{4} + 9 \, a^{14} b^{6} x^{2} + a^{15} b^{5}\right)}}\right]"," ",0,"[1/1179648*(630*a*b^9*x^17 + 5460*a^2*b^8*x^15 + 20916*a^3*b^7*x^13 + 46404*a^4*b^6*x^11 + 65536*a^5*b^5*x^9 - 46404*a^6*b^4*x^7 - 20916*a^7*b^3*x^5 - 5460*a^8*b^2*x^3 - 630*a^9*b*x - 315*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^6*b^14*x^18 + 9*a^7*b^13*x^16 + 36*a^8*b^12*x^14 + 84*a^9*b^11*x^12 + 126*a^10*b^10*x^10 + 126*a^11*b^9*x^8 + 84*a^12*b^8*x^6 + 36*a^13*b^7*x^4 + 9*a^14*b^6*x^2 + a^15*b^5), 1/589824*(315*a*b^9*x^17 + 2730*a^2*b^8*x^15 + 10458*a^3*b^7*x^13 + 23202*a^4*b^6*x^11 + 32768*a^5*b^5*x^9 - 23202*a^6*b^4*x^7 - 10458*a^7*b^3*x^5 - 2730*a^8*b^2*x^3 - 315*a^9*b*x + 315*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^6*b^14*x^18 + 9*a^7*b^13*x^16 + 36*a^8*b^12*x^14 + 84*a^9*b^11*x^12 + 126*a^10*b^10*x^10 + 126*a^11*b^9*x^8 + 84*a^12*b^8*x^6 + 36*a^13*b^7*x^4 + 9*a^14*b^6*x^2 + a^15*b^5)]","A",0
218,1,654,0,0.563329," ","integrate(x^6/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{6930 \, a b^{9} x^{17} + 60060 \, a^{2} b^{8} x^{15} + 230076 \, a^{3} b^{7} x^{13} + 510444 \, a^{4} b^{6} x^{11} + 720896 \, a^{5} b^{5} x^{9} + 669204 \, a^{6} b^{4} x^{7} - 230076 \, a^{7} b^{3} x^{5} - 60060 \, a^{8} b^{2} x^{3} - 6930 \, a^{9} b x - 3465 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{8257536 \, {\left(a^{7} b^{13} x^{18} + 9 \, a^{8} b^{12} x^{16} + 36 \, a^{9} b^{11} x^{14} + 84 \, a^{10} b^{10} x^{12} + 126 \, a^{11} b^{9} x^{10} + 126 \, a^{12} b^{8} x^{8} + 84 \, a^{13} b^{7} x^{6} + 36 \, a^{14} b^{6} x^{4} + 9 \, a^{15} b^{5} x^{2} + a^{16} b^{4}\right)}}, \frac{3465 \, a b^{9} x^{17} + 30030 \, a^{2} b^{8} x^{15} + 115038 \, a^{3} b^{7} x^{13} + 255222 \, a^{4} b^{6} x^{11} + 360448 \, a^{5} b^{5} x^{9} + 334602 \, a^{6} b^{4} x^{7} - 115038 \, a^{7} b^{3} x^{5} - 30030 \, a^{8} b^{2} x^{3} - 3465 \, a^{9} b x + 3465 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{4128768 \, {\left(a^{7} b^{13} x^{18} + 9 \, a^{8} b^{12} x^{16} + 36 \, a^{9} b^{11} x^{14} + 84 \, a^{10} b^{10} x^{12} + 126 \, a^{11} b^{9} x^{10} + 126 \, a^{12} b^{8} x^{8} + 84 \, a^{13} b^{7} x^{6} + 36 \, a^{14} b^{6} x^{4} + 9 \, a^{15} b^{5} x^{2} + a^{16} b^{4}\right)}}\right]"," ",0,"[1/8257536*(6930*a*b^9*x^17 + 60060*a^2*b^8*x^15 + 230076*a^3*b^7*x^13 + 510444*a^4*b^6*x^11 + 720896*a^5*b^5*x^9 + 669204*a^6*b^4*x^7 - 230076*a^7*b^3*x^5 - 60060*a^8*b^2*x^3 - 6930*a^9*b*x - 3465*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^7*b^13*x^18 + 9*a^8*b^12*x^16 + 36*a^9*b^11*x^14 + 84*a^10*b^10*x^12 + 126*a^11*b^9*x^10 + 126*a^12*b^8*x^8 + 84*a^13*b^7*x^6 + 36*a^14*b^6*x^4 + 9*a^15*b^5*x^2 + a^16*b^4), 1/4128768*(3465*a*b^9*x^17 + 30030*a^2*b^8*x^15 + 115038*a^3*b^7*x^13 + 255222*a^4*b^6*x^11 + 360448*a^5*b^5*x^9 + 334602*a^6*b^4*x^7 - 115038*a^7*b^3*x^5 - 30030*a^8*b^2*x^3 - 3465*a^9*b*x + 3465*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^7*b^13*x^18 + 9*a^8*b^12*x^16 + 36*a^9*b^11*x^14 + 84*a^10*b^10*x^12 + 126*a^11*b^9*x^10 + 126*a^12*b^8*x^8 + 84*a^13*b^7*x^6 + 36*a^14*b^6*x^4 + 9*a^15*b^5*x^2 + a^16*b^4)]","A",0
219,1,654,0,0.805616," ","integrate(x^4/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{90090 \, a b^{9} x^{17} + 780780 \, a^{2} b^{8} x^{15} + 2990988 \, a^{3} b^{7} x^{13} + 6635772 \, a^{4} b^{6} x^{11} + 9371648 \, a^{5} b^{5} x^{9} + 8699652 \, a^{6} b^{4} x^{7} + 5266548 \, a^{7} b^{3} x^{5} - 780780 \, a^{8} b^{2} x^{3} - 90090 \, a^{9} b x - 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{41287680 \, {\left(a^{8} b^{12} x^{18} + 9 \, a^{9} b^{11} x^{16} + 36 \, a^{10} b^{10} x^{14} + 84 \, a^{11} b^{9} x^{12} + 126 \, a^{12} b^{8} x^{10} + 126 \, a^{13} b^{7} x^{8} + 84 \, a^{14} b^{6} x^{6} + 36 \, a^{15} b^{5} x^{4} + 9 \, a^{16} b^{4} x^{2} + a^{17} b^{3}\right)}}, \frac{45045 \, a b^{9} x^{17} + 390390 \, a^{2} b^{8} x^{15} + 1495494 \, a^{3} b^{7} x^{13} + 3317886 \, a^{4} b^{6} x^{11} + 4685824 \, a^{5} b^{5} x^{9} + 4349826 \, a^{6} b^{4} x^{7} + 2633274 \, a^{7} b^{3} x^{5} - 390390 \, a^{8} b^{2} x^{3} - 45045 \, a^{9} b x + 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{20643840 \, {\left(a^{8} b^{12} x^{18} + 9 \, a^{9} b^{11} x^{16} + 36 \, a^{10} b^{10} x^{14} + 84 \, a^{11} b^{9} x^{12} + 126 \, a^{12} b^{8} x^{10} + 126 \, a^{13} b^{7} x^{8} + 84 \, a^{14} b^{6} x^{6} + 36 \, a^{15} b^{5} x^{4} + 9 \, a^{16} b^{4} x^{2} + a^{17} b^{3}\right)}}\right]"," ",0,"[1/41287680*(90090*a*b^9*x^17 + 780780*a^2*b^8*x^15 + 2990988*a^3*b^7*x^13 + 6635772*a^4*b^6*x^11 + 9371648*a^5*b^5*x^9 + 8699652*a^6*b^4*x^7 + 5266548*a^7*b^3*x^5 - 780780*a^8*b^2*x^3 - 90090*a^9*b*x - 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^8*b^12*x^18 + 9*a^9*b^11*x^16 + 36*a^10*b^10*x^14 + 84*a^11*b^9*x^12 + 126*a^12*b^8*x^10 + 126*a^13*b^7*x^8 + 84*a^14*b^6*x^6 + 36*a^15*b^5*x^4 + 9*a^16*b^4*x^2 + a^17*b^3), 1/20643840*(45045*a*b^9*x^17 + 390390*a^2*b^8*x^15 + 1495494*a^3*b^7*x^13 + 3317886*a^4*b^6*x^11 + 4685824*a^5*b^5*x^9 + 4349826*a^6*b^4*x^7 + 2633274*a^7*b^3*x^5 - 390390*a^8*b^2*x^3 - 45045*a^9*b*x + 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^8*b^12*x^18 + 9*a^9*b^11*x^16 + 36*a^10*b^10*x^14 + 84*a^11*b^9*x^12 + 126*a^12*b^8*x^10 + 126*a^13*b^7*x^8 + 84*a^14*b^6*x^6 + 36*a^15*b^5*x^4 + 9*a^16*b^4*x^2 + a^17*b^3)]","A",0
220,1,654,0,0.589796," ","integrate(x^2/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{90090 \, a b^{9} x^{17} + 780780 \, a^{2} b^{8} x^{15} + 2990988 \, a^{3} b^{7} x^{13} + 6635772 \, a^{4} b^{6} x^{11} + 9371648 \, a^{5} b^{5} x^{9} + 8699652 \, a^{6} b^{4} x^{7} + 5266548 \, a^{7} b^{3} x^{5} + 1971732 \, a^{8} b^{2} x^{3} - 90090 \, a^{9} b x - 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{8257536 \, {\left(a^{9} b^{11} x^{18} + 9 \, a^{10} b^{10} x^{16} + 36 \, a^{11} b^{9} x^{14} + 84 \, a^{12} b^{8} x^{12} + 126 \, a^{13} b^{7} x^{10} + 126 \, a^{14} b^{6} x^{8} + 84 \, a^{15} b^{5} x^{6} + 36 \, a^{16} b^{4} x^{4} + 9 \, a^{17} b^{3} x^{2} + a^{18} b^{2}\right)}}, \frac{45045 \, a b^{9} x^{17} + 390390 \, a^{2} b^{8} x^{15} + 1495494 \, a^{3} b^{7} x^{13} + 3317886 \, a^{4} b^{6} x^{11} + 4685824 \, a^{5} b^{5} x^{9} + 4349826 \, a^{6} b^{4} x^{7} + 2633274 \, a^{7} b^{3} x^{5} + 985866 \, a^{8} b^{2} x^{3} - 45045 \, a^{9} b x + 45045 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{4128768 \, {\left(a^{9} b^{11} x^{18} + 9 \, a^{10} b^{10} x^{16} + 36 \, a^{11} b^{9} x^{14} + 84 \, a^{12} b^{8} x^{12} + 126 \, a^{13} b^{7} x^{10} + 126 \, a^{14} b^{6} x^{8} + 84 \, a^{15} b^{5} x^{6} + 36 \, a^{16} b^{4} x^{4} + 9 \, a^{17} b^{3} x^{2} + a^{18} b^{2}\right)}}\right]"," ",0,"[1/8257536*(90090*a*b^9*x^17 + 780780*a^2*b^8*x^15 + 2990988*a^3*b^7*x^13 + 6635772*a^4*b^6*x^11 + 9371648*a^5*b^5*x^9 + 8699652*a^6*b^4*x^7 + 5266548*a^7*b^3*x^5 + 1971732*a^8*b^2*x^3 - 90090*a^9*b*x - 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^9*b^11*x^18 + 9*a^10*b^10*x^16 + 36*a^11*b^9*x^14 + 84*a^12*b^8*x^12 + 126*a^13*b^7*x^10 + 126*a^14*b^6*x^8 + 84*a^15*b^5*x^6 + 36*a^16*b^4*x^4 + 9*a^17*b^3*x^2 + a^18*b^2), 1/4128768*(45045*a*b^9*x^17 + 390390*a^2*b^8*x^15 + 1495494*a^3*b^7*x^13 + 3317886*a^4*b^6*x^11 + 4685824*a^5*b^5*x^9 + 4349826*a^6*b^4*x^7 + 2633274*a^7*b^3*x^5 + 985866*a^8*b^2*x^3 - 45045*a^9*b*x + 45045*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^9*b^11*x^18 + 9*a^10*b^10*x^16 + 36*a^11*b^9*x^14 + 84*a^12*b^8*x^12 + 126*a^13*b^7*x^10 + 126*a^14*b^6*x^8 + 84*a^15*b^5*x^6 + 36*a^16*b^4*x^4 + 9*a^17*b^3*x^2 + a^18*b^2)]","A",0
221,1,650,0,0.819973," ","integrate(1/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{1531530 \, a b^{9} x^{17} + 13273260 \, a^{2} b^{8} x^{15} + 50846796 \, a^{3} b^{7} x^{13} + 112808124 \, a^{4} b^{6} x^{11} + 159318016 \, a^{5} b^{5} x^{9} + 147894084 \, a^{6} b^{4} x^{7} + 89531316 \, a^{7} b^{3} x^{5} + 33519444 \, a^{8} b^{2} x^{3} + 6726006 \, a^{9} b x - 765765 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{8257536 \, {\left(a^{10} b^{10} x^{18} + 9 \, a^{11} b^{9} x^{16} + 36 \, a^{12} b^{8} x^{14} + 84 \, a^{13} b^{7} x^{12} + 126 \, a^{14} b^{6} x^{10} + 126 \, a^{15} b^{5} x^{8} + 84 \, a^{16} b^{4} x^{6} + 36 \, a^{17} b^{3} x^{4} + 9 \, a^{18} b^{2} x^{2} + a^{19} b\right)}}, \frac{765765 \, a b^{9} x^{17} + 6636630 \, a^{2} b^{8} x^{15} + 25423398 \, a^{3} b^{7} x^{13} + 56404062 \, a^{4} b^{6} x^{11} + 79659008 \, a^{5} b^{5} x^{9} + 73947042 \, a^{6} b^{4} x^{7} + 44765658 \, a^{7} b^{3} x^{5} + 16759722 \, a^{8} b^{2} x^{3} + 3363003 \, a^{9} b x + 765765 \, {\left(b^{9} x^{18} + 9 \, a b^{8} x^{16} + 36 \, a^{2} b^{7} x^{14} + 84 \, a^{3} b^{6} x^{12} + 126 \, a^{4} b^{5} x^{10} + 126 \, a^{5} b^{4} x^{8} + 84 \, a^{6} b^{3} x^{6} + 36 \, a^{7} b^{2} x^{4} + 9 \, a^{8} b x^{2} + a^{9}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{4128768 \, {\left(a^{10} b^{10} x^{18} + 9 \, a^{11} b^{9} x^{16} + 36 \, a^{12} b^{8} x^{14} + 84 \, a^{13} b^{7} x^{12} + 126 \, a^{14} b^{6} x^{10} + 126 \, a^{15} b^{5} x^{8} + 84 \, a^{16} b^{4} x^{6} + 36 \, a^{17} b^{3} x^{4} + 9 \, a^{18} b^{2} x^{2} + a^{19} b\right)}}\right]"," ",0,"[1/8257536*(1531530*a*b^9*x^17 + 13273260*a^2*b^8*x^15 + 50846796*a^3*b^7*x^13 + 112808124*a^4*b^6*x^11 + 159318016*a^5*b^5*x^9 + 147894084*a^6*b^4*x^7 + 89531316*a^7*b^3*x^5 + 33519444*a^8*b^2*x^3 + 6726006*a^9*b*x - 765765*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^10*b^10*x^18 + 9*a^11*b^9*x^16 + 36*a^12*b^8*x^14 + 84*a^13*b^7*x^12 + 126*a^14*b^6*x^10 + 126*a^15*b^5*x^8 + 84*a^16*b^4*x^6 + 36*a^17*b^3*x^4 + 9*a^18*b^2*x^2 + a^19*b), 1/4128768*(765765*a*b^9*x^17 + 6636630*a^2*b^8*x^15 + 25423398*a^3*b^7*x^13 + 56404062*a^4*b^6*x^11 + 79659008*a^5*b^5*x^9 + 73947042*a^6*b^4*x^7 + 44765658*a^7*b^3*x^5 + 16759722*a^8*b^2*x^3 + 3363003*a^9*b*x + 765765*(b^9*x^18 + 9*a*b^8*x^16 + 36*a^2*b^7*x^14 + 84*a^3*b^6*x^12 + 126*a^4*b^5*x^10 + 126*a^5*b^4*x^8 + 84*a^6*b^3*x^6 + 36*a^7*b^2*x^4 + 9*a^8*b*x^2 + a^9)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^10*b^10*x^18 + 9*a^11*b^9*x^16 + 36*a^12*b^8*x^14 + 84*a^13*b^7*x^12 + 126*a^14*b^6*x^10 + 126*a^15*b^5*x^8 + 84*a^16*b^4*x^6 + 36*a^17*b^3*x^4 + 9*a^18*b^2*x^2 + a^19*b)]","B",0
222,1,664,0,0.974828," ","integrate(1/x^2/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[-\frac{29099070 \, b^{9} x^{18} + 252191940 \, a b^{8} x^{16} + 966089124 \, a^{2} b^{7} x^{14} + 2143354356 \, a^{3} b^{6} x^{12} + 3027042304 \, a^{4} b^{5} x^{10} + 2809987596 \, a^{5} b^{4} x^{8} + 1701095004 \, a^{6} b^{3} x^{6} + 636869436 \, a^{7} b^{2} x^{4} + 127794114 \, a^{8} b x^{2} + 8257536 \, a^{9} - 14549535 \, {\left(b^{9} x^{19} + 9 \, a b^{8} x^{17} + 36 \, a^{2} b^{7} x^{15} + 84 \, a^{3} b^{6} x^{13} + 126 \, a^{4} b^{5} x^{11} + 126 \, a^{5} b^{4} x^{9} + 84 \, a^{6} b^{3} x^{7} + 36 \, a^{7} b^{2} x^{5} + 9 \, a^{8} b x^{3} + a^{9} x\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{8257536 \, {\left(a^{10} b^{9} x^{19} + 9 \, a^{11} b^{8} x^{17} + 36 \, a^{12} b^{7} x^{15} + 84 \, a^{13} b^{6} x^{13} + 126 \, a^{14} b^{5} x^{11} + 126 \, a^{15} b^{4} x^{9} + 84 \, a^{16} b^{3} x^{7} + 36 \, a^{17} b^{2} x^{5} + 9 \, a^{18} b x^{3} + a^{19} x\right)}}, -\frac{14549535 \, b^{9} x^{18} + 126095970 \, a b^{8} x^{16} + 483044562 \, a^{2} b^{7} x^{14} + 1071677178 \, a^{3} b^{6} x^{12} + 1513521152 \, a^{4} b^{5} x^{10} + 1404993798 \, a^{5} b^{4} x^{8} + 850547502 \, a^{6} b^{3} x^{6} + 318434718 \, a^{7} b^{2} x^{4} + 63897057 \, a^{8} b x^{2} + 4128768 \, a^{9} + 14549535 \, {\left(b^{9} x^{19} + 9 \, a b^{8} x^{17} + 36 \, a^{2} b^{7} x^{15} + 84 \, a^{3} b^{6} x^{13} + 126 \, a^{4} b^{5} x^{11} + 126 \, a^{5} b^{4} x^{9} + 84 \, a^{6} b^{3} x^{7} + 36 \, a^{7} b^{2} x^{5} + 9 \, a^{8} b x^{3} + a^{9} x\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{4128768 \, {\left(a^{10} b^{9} x^{19} + 9 \, a^{11} b^{8} x^{17} + 36 \, a^{12} b^{7} x^{15} + 84 \, a^{13} b^{6} x^{13} + 126 \, a^{14} b^{5} x^{11} + 126 \, a^{15} b^{4} x^{9} + 84 \, a^{16} b^{3} x^{7} + 36 \, a^{17} b^{2} x^{5} + 9 \, a^{18} b x^{3} + a^{19} x\right)}}\right]"," ",0,"[-1/8257536*(29099070*b^9*x^18 + 252191940*a*b^8*x^16 + 966089124*a^2*b^7*x^14 + 2143354356*a^3*b^6*x^12 + 3027042304*a^4*b^5*x^10 + 2809987596*a^5*b^4*x^8 + 1701095004*a^6*b^3*x^6 + 636869436*a^7*b^2*x^4 + 127794114*a^8*b*x^2 + 8257536*a^9 - 14549535*(b^9*x^19 + 9*a*b^8*x^17 + 36*a^2*b^7*x^15 + 84*a^3*b^6*x^13 + 126*a^4*b^5*x^11 + 126*a^5*b^4*x^9 + 84*a^6*b^3*x^7 + 36*a^7*b^2*x^5 + 9*a^8*b*x^3 + a^9*x)*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^10*b^9*x^19 + 9*a^11*b^8*x^17 + 36*a^12*b^7*x^15 + 84*a^13*b^6*x^13 + 126*a^14*b^5*x^11 + 126*a^15*b^4*x^9 + 84*a^16*b^3*x^7 + 36*a^17*b^2*x^5 + 9*a^18*b*x^3 + a^19*x), -1/4128768*(14549535*b^9*x^18 + 126095970*a*b^8*x^16 + 483044562*a^2*b^7*x^14 + 1071677178*a^3*b^6*x^12 + 1513521152*a^4*b^5*x^10 + 1404993798*a^5*b^4*x^8 + 850547502*a^6*b^3*x^6 + 318434718*a^7*b^2*x^4 + 63897057*a^8*b*x^2 + 4128768*a^9 + 14549535*(b^9*x^19 + 9*a*b^8*x^17 + 36*a^2*b^7*x^15 + 84*a^3*b^6*x^13 + 126*a^4*b^5*x^11 + 126*a^5*b^4*x^9 + 84*a^6*b^3*x^7 + 36*a^7*b^2*x^5 + 9*a^8*b*x^3 + a^9*x)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^10*b^9*x^19 + 9*a^11*b^8*x^17 + 36*a^12*b^7*x^15 + 84*a^13*b^6*x^13 + 126*a^14*b^5*x^11 + 126*a^15*b^4*x^9 + 84*a^16*b^3*x^7 + 36*a^17*b^2*x^5 + 9*a^18*b*x^3 + a^19*x)]","A",0
223,1,700,0,0.869812," ","integrate(1/x^4/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[\frac{29099070 \, b^{10} x^{20} + 252191940 \, a b^{9} x^{18} + 966089124 \, a^{2} b^{8} x^{16} + 2143354356 \, a^{3} b^{7} x^{14} + 3027042304 \, a^{4} b^{6} x^{12} + 2809987596 \, a^{5} b^{5} x^{10} + 1701095004 \, a^{6} b^{4} x^{8} + 636869436 \, a^{7} b^{3} x^{6} + 127794114 \, a^{8} b^{2} x^{4} + 8257536 \, a^{9} b x^{2} - 393216 \, a^{10} + 14549535 \, {\left(b^{10} x^{21} + 9 \, a b^{9} x^{19} + 36 \, a^{2} b^{8} x^{17} + 84 \, a^{3} b^{7} x^{15} + 126 \, a^{4} b^{6} x^{13} + 126 \, a^{5} b^{5} x^{11} + 84 \, a^{6} b^{4} x^{9} + 36 \, a^{7} b^{3} x^{7} + 9 \, a^{8} b^{2} x^{5} + a^{9} b x^{3}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{1179648 \, {\left(a^{11} b^{9} x^{21} + 9 \, a^{12} b^{8} x^{19} + 36 \, a^{13} b^{7} x^{17} + 84 \, a^{14} b^{6} x^{15} + 126 \, a^{15} b^{5} x^{13} + 126 \, a^{16} b^{4} x^{11} + 84 \, a^{17} b^{3} x^{9} + 36 \, a^{18} b^{2} x^{7} + 9 \, a^{19} b x^{5} + a^{20} x^{3}\right)}}, \frac{14549535 \, b^{10} x^{20} + 126095970 \, a b^{9} x^{18} + 483044562 \, a^{2} b^{8} x^{16} + 1071677178 \, a^{3} b^{7} x^{14} + 1513521152 \, a^{4} b^{6} x^{12} + 1404993798 \, a^{5} b^{5} x^{10} + 850547502 \, a^{6} b^{4} x^{8} + 318434718 \, a^{7} b^{3} x^{6} + 63897057 \, a^{8} b^{2} x^{4} + 4128768 \, a^{9} b x^{2} - 196608 \, a^{10} + 14549535 \, {\left(b^{10} x^{21} + 9 \, a b^{9} x^{19} + 36 \, a^{2} b^{8} x^{17} + 84 \, a^{3} b^{7} x^{15} + 126 \, a^{4} b^{6} x^{13} + 126 \, a^{5} b^{5} x^{11} + 84 \, a^{6} b^{4} x^{9} + 36 \, a^{7} b^{3} x^{7} + 9 \, a^{8} b^{2} x^{5} + a^{9} b x^{3}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{589824 \, {\left(a^{11} b^{9} x^{21} + 9 \, a^{12} b^{8} x^{19} + 36 \, a^{13} b^{7} x^{17} + 84 \, a^{14} b^{6} x^{15} + 126 \, a^{15} b^{5} x^{13} + 126 \, a^{16} b^{4} x^{11} + 84 \, a^{17} b^{3} x^{9} + 36 \, a^{18} b^{2} x^{7} + 9 \, a^{19} b x^{5} + a^{20} x^{3}\right)}}\right]"," ",0,"[1/1179648*(29099070*b^10*x^20 + 252191940*a*b^9*x^18 + 966089124*a^2*b^8*x^16 + 2143354356*a^3*b^7*x^14 + 3027042304*a^4*b^6*x^12 + 2809987596*a^5*b^5*x^10 + 1701095004*a^6*b^4*x^8 + 636869436*a^7*b^3*x^6 + 127794114*a^8*b^2*x^4 + 8257536*a^9*b*x^2 - 393216*a^10 + 14549535*(b^10*x^21 + 9*a*b^9*x^19 + 36*a^2*b^8*x^17 + 84*a^3*b^7*x^15 + 126*a^4*b^6*x^13 + 126*a^5*b^5*x^11 + 84*a^6*b^4*x^9 + 36*a^7*b^3*x^7 + 9*a^8*b^2*x^5 + a^9*b*x^3)*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^11*b^9*x^21 + 9*a^12*b^8*x^19 + 36*a^13*b^7*x^17 + 84*a^14*b^6*x^15 + 126*a^15*b^5*x^13 + 126*a^16*b^4*x^11 + 84*a^17*b^3*x^9 + 36*a^18*b^2*x^7 + 9*a^19*b*x^5 + a^20*x^3), 1/589824*(14549535*b^10*x^20 + 126095970*a*b^9*x^18 + 483044562*a^2*b^8*x^16 + 1071677178*a^3*b^7*x^14 + 1513521152*a^4*b^6*x^12 + 1404993798*a^5*b^5*x^10 + 850547502*a^6*b^4*x^8 + 318434718*a^7*b^3*x^6 + 63897057*a^8*b^2*x^4 + 4128768*a^9*b*x^2 - 196608*a^10 + 14549535*(b^10*x^21 + 9*a*b^9*x^19 + 36*a^2*b^8*x^17 + 84*a^3*b^7*x^15 + 126*a^4*b^6*x^13 + 126*a^5*b^5*x^11 + 84*a^6*b^4*x^9 + 36*a^7*b^3*x^7 + 9*a^8*b^2*x^5 + a^9*b*x^3)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^11*b^9*x^21 + 9*a^12*b^8*x^19 + 36*a^13*b^7*x^17 + 84*a^14*b^6*x^15 + 126*a^15*b^5*x^13 + 126*a^16*b^4*x^11 + 84*a^17*b^3*x^9 + 36*a^18*b^2*x^7 + 9*a^19*b*x^5 + a^20*x^3)]","A",0
224,1,726,0,0.852616," ","integrate(1/x^6/(b*x^2+a)^10,x, algorithm=""fricas"")","\left[-\frac{669278610 \, b^{11} x^{22} + 5800414620 \, a b^{10} x^{20} + 22220049852 \, a^{2} b^{9} x^{18} + 49297150188 \, a^{3} b^{8} x^{16} + 69621972992 \, a^{4} b^{7} x^{14} + 64629714708 \, a^{5} b^{6} x^{12} + 39125185092 \, a^{6} b^{5} x^{10} + 14647997028 \, a^{7} b^{4} x^{8} + 2939264622 \, a^{8} b^{3} x^{6} + 189923328 \, a^{9} b^{2} x^{4} - 9043968 \, a^{10} b x^{2} + 1179648 \, a^{11} - 334639305 \, {\left(b^{11} x^{23} + 9 \, a b^{10} x^{21} + 36 \, a^{2} b^{9} x^{19} + 84 \, a^{3} b^{8} x^{17} + 126 \, a^{4} b^{7} x^{15} + 126 \, a^{5} b^{6} x^{13} + 84 \, a^{6} b^{5} x^{11} + 36 \, a^{7} b^{4} x^{9} + 9 \, a^{8} b^{3} x^{7} + a^{9} b^{2} x^{5}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right)}{5898240 \, {\left(a^{12} b^{9} x^{23} + 9 \, a^{13} b^{8} x^{21} + 36 \, a^{14} b^{7} x^{19} + 84 \, a^{15} b^{6} x^{17} + 126 \, a^{16} b^{5} x^{15} + 126 \, a^{17} b^{4} x^{13} + 84 \, a^{18} b^{3} x^{11} + 36 \, a^{19} b^{2} x^{9} + 9 \, a^{20} b x^{7} + a^{21} x^{5}\right)}}, -\frac{334639305 \, b^{11} x^{22} + 2900207310 \, a b^{10} x^{20} + 11110024926 \, a^{2} b^{9} x^{18} + 24648575094 \, a^{3} b^{8} x^{16} + 34810986496 \, a^{4} b^{7} x^{14} + 32314857354 \, a^{5} b^{6} x^{12} + 19562592546 \, a^{6} b^{5} x^{10} + 7323998514 \, a^{7} b^{4} x^{8} + 1469632311 \, a^{8} b^{3} x^{6} + 94961664 \, a^{9} b^{2} x^{4} - 4521984 \, a^{10} b x^{2} + 589824 \, a^{11} + 334639305 \, {\left(b^{11} x^{23} + 9 \, a b^{10} x^{21} + 36 \, a^{2} b^{9} x^{19} + 84 \, a^{3} b^{8} x^{17} + 126 \, a^{4} b^{7} x^{15} + 126 \, a^{5} b^{6} x^{13} + 84 \, a^{6} b^{5} x^{11} + 36 \, a^{7} b^{4} x^{9} + 9 \, a^{8} b^{3} x^{7} + a^{9} b^{2} x^{5}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right)}{2949120 \, {\left(a^{12} b^{9} x^{23} + 9 \, a^{13} b^{8} x^{21} + 36 \, a^{14} b^{7} x^{19} + 84 \, a^{15} b^{6} x^{17} + 126 \, a^{16} b^{5} x^{15} + 126 \, a^{17} b^{4} x^{13} + 84 \, a^{18} b^{3} x^{11} + 36 \, a^{19} b^{2} x^{9} + 9 \, a^{20} b x^{7} + a^{21} x^{5}\right)}}\right]"," ",0,"[-1/5898240*(669278610*b^11*x^22 + 5800414620*a*b^10*x^20 + 22220049852*a^2*b^9*x^18 + 49297150188*a^3*b^8*x^16 + 69621972992*a^4*b^7*x^14 + 64629714708*a^5*b^6*x^12 + 39125185092*a^6*b^5*x^10 + 14647997028*a^7*b^4*x^8 + 2939264622*a^8*b^3*x^6 + 189923328*a^9*b^2*x^4 - 9043968*a^10*b*x^2 + 1179648*a^11 - 334639305*(b^11*x^23 + 9*a*b^10*x^21 + 36*a^2*b^9*x^19 + 84*a^3*b^8*x^17 + 126*a^4*b^7*x^15 + 126*a^5*b^6*x^13 + 84*a^6*b^5*x^11 + 36*a^7*b^4*x^9 + 9*a^8*b^3*x^7 + a^9*b^2*x^5)*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)))/(a^12*b^9*x^23 + 9*a^13*b^8*x^21 + 36*a^14*b^7*x^19 + 84*a^15*b^6*x^17 + 126*a^16*b^5*x^15 + 126*a^17*b^4*x^13 + 84*a^18*b^3*x^11 + 36*a^19*b^2*x^9 + 9*a^20*b*x^7 + a^21*x^5), -1/2949120*(334639305*b^11*x^22 + 2900207310*a*b^10*x^20 + 11110024926*a^2*b^9*x^18 + 24648575094*a^3*b^8*x^16 + 34810986496*a^4*b^7*x^14 + 32314857354*a^5*b^6*x^12 + 19562592546*a^6*b^5*x^10 + 7323998514*a^7*b^4*x^8 + 1469632311*a^8*b^3*x^6 + 94961664*a^9*b^2*x^4 - 4521984*a^10*b*x^2 + 589824*a^11 + 334639305*(b^11*x^23 + 9*a*b^10*x^21 + 36*a^2*b^9*x^19 + 84*a^3*b^8*x^17 + 126*a^4*b^7*x^15 + 126*a^5*b^6*x^13 + 84*a^6*b^5*x^11 + 36*a^7*b^4*x^9 + 9*a^8*b^3*x^7 + a^9*b^2*x^5)*sqrt(b/a)*arctan(x*sqrt(b/a)))/(a^12*b^9*x^23 + 9*a^13*b^8*x^21 + 36*a^14*b^7*x^19 + 84*a^15*b^6*x^17 + 126*a^16*b^5*x^15 + 126*a^17*b^4*x^13 + 84*a^18*b^3*x^11 + 36*a^19*b^2*x^9 + 9*a^20*b*x^7 + a^21*x^5)]","A",0
225,1,23,0,0.730891," ","integrate(x^3/(-b*x^2+a),x, algorithm=""fricas"")","-\frac{b x^{2} + a \log\left(b x^{2} - a\right)}{2 \, b^{2}}"," ",0,"-1/2*(b*x^2 + a*log(b*x^2 - a))/b^2","A",0
226,1,80,0,0.659258," ","integrate(x^2/(-b*x^2+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{a}{b}} \log\left(\frac{b x^{2} + 2 \, b x \sqrt{\frac{a}{b}} + a}{b x^{2} - a}\right) - 2 \, x}{2 \, b}, -\frac{\sqrt{-\frac{a}{b}} \arctan\left(\frac{b x \sqrt{-\frac{a}{b}}}{a}\right) + x}{b}\right]"," ",0,"[1/2*(sqrt(a/b)*log((b*x^2 + 2*b*x*sqrt(a/b) + a)/(b*x^2 - a)) - 2*x)/b, -(sqrt(-a/b)*arctan(b*x*sqrt(-a/b)/a) + x)/b]","A",0
227,1,15,0,0.504340," ","integrate(x/(-b*x^2+a),x, algorithm=""fricas"")","-\frac{\log\left(b x^{2} - a\right)}{2 \, b}"," ",0,"-1/2*log(b*x^2 - a)/b","A",0
228,1,68,0,0.755889," ","integrate(1/(-b*x^2+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{a b} \log\left(\frac{b x^{2} + 2 \, \sqrt{a b} x + a}{b x^{2} - a}\right)}{2 \, a b}, -\frac{\sqrt{-a b} \arctan\left(\frac{\sqrt{-a b} x}{a}\right)}{a b}\right]"," ",0,"[1/2*sqrt(a*b)*log((b*x^2 + 2*sqrt(a*b)*x + a)/(b*x^2 - a))/(a*b), -sqrt(-a*b)*arctan(sqrt(-a*b)*x/a)/(a*b)]","A",0
229,1,20,0,0.856417," ","integrate(1/x/(-b*x^2+a),x, algorithm=""fricas"")","-\frac{\log\left(b x^{2} - a\right) - 2 \, \log\left(x\right)}{2 \, a}"," ",0,"-1/2*(log(b*x^2 - a) - 2*log(x))/a","A",0
230,1,82,0,0.546862," ","integrate(1/x^2/(-b*x^2+a),x, algorithm=""fricas"")","\left[\frac{x \sqrt{\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{\frac{b}{a}} + a}{b x^{2} - a}\right) - 2}{2 \, a x}, -\frac{x \sqrt{-\frac{b}{a}} \arctan\left(x \sqrt{-\frac{b}{a}}\right) + 1}{a x}\right]"," ",0,"[1/2*(x*sqrt(b/a)*log((b*x^2 + 2*a*x*sqrt(b/a) + a)/(b*x^2 - a)) - 2)/(a*x), -(x*sqrt(-b/a)*arctan(x*sqrt(-b/a)) + 1)/(a*x)]","A",0
231,1,33,0,1.071749," ","integrate(1/x^3/(-b*x^2+a),x, algorithm=""fricas"")","-\frac{b x^{2} \log\left(b x^{2} - a\right) - 2 \, b x^{2} \log\left(x\right) + a}{2 \, a^{2} x^{2}}"," ",0,"-1/2*(b*x^2*log(b*x^2 - a) - 2*b*x^2*log(x) + a)/(a^2*x^2)","A",0
232,1,42,0,0.402198," ","integrate(x^3/(-b*x^2+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x^{2} - a\right)} \log\left(b x^{2} - a\right) - a}{2 \, {\left(b^{3} x^{2} - a b^{2}\right)}}"," ",0,"1/2*((b*x^2 - a)*log(b*x^2 - a) - a)/(b^3*x^2 - a*b^2)","A",0
233,1,127,0,0.532729," ","integrate(x^2/(-b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a b x - {\left(b x^{2} - a\right)} \sqrt{a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{a b} x + a}{b x^{2} - a}\right)}{4 \, {\left(a b^{3} x^{2} - a^{2} b^{2}\right)}}, -\frac{a b x - {\left(b x^{2} - a\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b} x}{a}\right)}{2 \, {\left(a b^{3} x^{2} - a^{2} b^{2}\right)}}\right]"," ",0,"[-1/4*(2*a*b*x - (b*x^2 - a)*sqrt(a*b)*log((b*x^2 - 2*sqrt(a*b)*x + a)/(b*x^2 - a)))/(a*b^3*x^2 - a^2*b^2), -1/2*(a*b*x - (b*x^2 - a)*sqrt(-a*b)*arctan(sqrt(-a*b)*x/a))/(a*b^3*x^2 - a^2*b^2)]","A",0
234,1,16,0,0.445515," ","integrate(x/(-b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(b^{2} x^{2} - a b\right)}}"," ",0,"-1/2/(b^2*x^2 - a*b)","A",0
235,1,126,0,0.813385," ","integrate(1/(-b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a b x - {\left(b x^{2} - a\right)} \sqrt{a b} \log\left(\frac{b x^{2} + 2 \, \sqrt{a b} x + a}{b x^{2} - a}\right)}{4 \, {\left(a^{2} b^{2} x^{2} - a^{3} b\right)}}, -\frac{a b x + {\left(b x^{2} - a\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b} x}{a}\right)}{2 \, {\left(a^{2} b^{2} x^{2} - a^{3} b\right)}}\right]"," ",0,"[-1/4*(2*a*b*x - (b*x^2 - a)*sqrt(a*b)*log((b*x^2 + 2*sqrt(a*b)*x + a)/(b*x^2 - a)))/(a^2*b^2*x^2 - a^3*b), -1/2*(a*b*x + (b*x^2 - a)*sqrt(-a*b)*arctan(sqrt(-a*b)*x/a))/(a^2*b^2*x^2 - a^3*b)]","A",0
236,1,53,0,0.498106," ","integrate(1/x/(-b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{{\left(b x^{2} - a\right)} \log\left(b x^{2} - a\right) - 2 \, {\left(b x^{2} - a\right)} \log\left(x\right) + a}{2 \, {\left(a^{2} b x^{2} - a^{3}\right)}}"," ",0,"-1/2*((b*x^2 - a)*log(b*x^2 - a) - 2*(b*x^2 - a)*log(x) + a)/(a^2*b*x^2 - a^3)","A",0
237,1,140,0,0.651789," ","integrate(1/x^2/(-b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{6 \, b x^{2} - 3 \, {\left(b x^{3} - a x\right)} \sqrt{\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{\frac{b}{a}} + a}{b x^{2} - a}\right) - 4 \, a}{4 \, {\left(a^{2} b x^{3} - a^{3} x\right)}}, -\frac{3 \, b x^{2} + 3 \, {\left(b x^{3} - a x\right)} \sqrt{-\frac{b}{a}} \arctan\left(x \sqrt{-\frac{b}{a}}\right) - 2 \, a}{2 \, {\left(a^{2} b x^{3} - a^{3} x\right)}}\right]"," ",0,"[-1/4*(6*b*x^2 - 3*(b*x^3 - a*x)*sqrt(b/a)*log((b*x^2 + 2*a*x*sqrt(b/a) + a)/(b*x^2 - a)) - 4*a)/(a^2*b*x^3 - a^3*x), -1/2*(3*b*x^2 + 3*(b*x^3 - a*x)*sqrt(-b/a)*arctan(x*sqrt(-b/a)) - 2*a)/(a^2*b*x^3 - a^3*x)]","A",0
238,1,80,0,0.552331," ","integrate(1/x^3/(-b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{2 \, a b x^{2} - a^{2} + 2 \, {\left(b^{2} x^{4} - a b x^{2}\right)} \log\left(b x^{2} - a\right) - 4 \, {\left(b^{2} x^{4} - a b x^{2}\right)} \log\left(x\right)}{2 \, {\left(a^{3} b x^{4} - a^{4} x^{2}\right)}}"," ",0,"-1/2*(2*a*b*x^2 - a^2 + 2*(b^2*x^4 - a*b*x^2)*log(b*x^2 - a) - 4*(b^2*x^4 - a*b*x^2)*log(x))/(a^3*b*x^4 - a^4*x^2)","A",0
239,1,38,0,0.491301," ","integrate(x^3/(-b*x^2+a)^3,x, algorithm=""fricas"")","\frac{2 \, b x^{2} - a}{4 \, {\left(b^{4} x^{4} - 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)}}"," ",0,"1/4*(2*b*x^2 - a)/(b^4*x^4 - 2*a*b^3*x^2 + a^2*b^2)","A",0
240,1,188,0,0.584318," ","integrate(x^2/(-b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{2 \, a b^{2} x^{3} + 2 \, a^{2} b x + {\left(b^{2} x^{4} - 2 \, a b x^{2} + a^{2}\right)} \sqrt{a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{a b} x + a}{b x^{2} - a}\right)}{16 \, {\left(a^{2} b^{4} x^{4} - 2 \, a^{3} b^{3} x^{2} + a^{4} b^{2}\right)}}, \frac{a b^{2} x^{3} + a^{2} b x + {\left(b^{2} x^{4} - 2 \, a b x^{2} + a^{2}\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b} x}{a}\right)}{8 \, {\left(a^{2} b^{4} x^{4} - 2 \, a^{3} b^{3} x^{2} + a^{4} b^{2}\right)}}\right]"," ",0,"[1/16*(2*a*b^2*x^3 + 2*a^2*b*x + (b^2*x^4 - 2*a*b*x^2 + a^2)*sqrt(a*b)*log((b*x^2 - 2*sqrt(a*b)*x + a)/(b*x^2 - a)))/(a^2*b^4*x^4 - 2*a^3*b^3*x^2 + a^4*b^2), 1/8*(a*b^2*x^3 + a^2*b*x + (b^2*x^4 - 2*a*b*x^2 + a^2)*sqrt(-a*b)*arctan(sqrt(-a*b)*x/a))/(a^2*b^4*x^4 - 2*a^3*b^3*x^2 + a^4*b^2)]","A",0
241,1,26,0,0.654166," ","integrate(x/(-b*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{4 \, {\left(b^{3} x^{4} - 2 \, a b^{2} x^{2} + a^{2} b\right)}}"," ",0,"1/4/(b^3*x^4 - 2*a*b^2*x^2 + a^2*b)","A",0
242,1,188,0,0.504513," ","integrate(1/(-b*x^2+a)^3,x, algorithm=""fricas"")","\left[-\frac{6 \, a b^{2} x^{3} - 10 \, a^{2} b x - 3 \, {\left(b^{2} x^{4} - 2 \, a b x^{2} + a^{2}\right)} \sqrt{a b} \log\left(\frac{b x^{2} + 2 \, \sqrt{a b} x + a}{b x^{2} - a}\right)}{16 \, {\left(a^{3} b^{3} x^{4} - 2 \, a^{4} b^{2} x^{2} + a^{5} b\right)}}, -\frac{3 \, a b^{2} x^{3} - 5 \, a^{2} b x + 3 \, {\left(b^{2} x^{4} - 2 \, a b x^{2} + a^{2}\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b} x}{a}\right)}{8 \, {\left(a^{3} b^{3} x^{4} - 2 \, a^{4} b^{2} x^{2} + a^{5} b\right)}}\right]"," ",0,"[-1/16*(6*a*b^2*x^3 - 10*a^2*b*x - 3*(b^2*x^4 - 2*a*b*x^2 + a^2)*sqrt(a*b)*log((b*x^2 + 2*sqrt(a*b)*x + a)/(b*x^2 - a)))/(a^3*b^3*x^4 - 2*a^4*b^2*x^2 + a^5*b), -1/8*(3*a*b^2*x^3 - 5*a^2*b*x + 3*(b^2*x^4 - 2*a*b*x^2 + a^2)*sqrt(-a*b)*arctan(sqrt(-a*b)*x/a))/(a^3*b^3*x^4 - 2*a^4*b^2*x^2 + a^5*b)]","A",0
243,1,92,0,0.484587," ","integrate(1/x/(-b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{2 \, a b x^{2} - 3 \, a^{2} + 2 \, {\left(b^{2} x^{4} - 2 \, a b x^{2} + a^{2}\right)} \log\left(b x^{2} - a\right) - 4 \, {\left(b^{2} x^{4} - 2 \, a b x^{2} + a^{2}\right)} \log\left(x\right)}{4 \, {\left(a^{3} b^{2} x^{4} - 2 \, a^{4} b x^{2} + a^{5}\right)}}"," ",0,"-1/4*(2*a*b*x^2 - 3*a^2 + 2*(b^2*x^4 - 2*a*b*x^2 + a^2)*log(b*x^2 - a) - 4*(b^2*x^4 - 2*a*b*x^2 + a^2)*log(x))/(a^3*b^2*x^4 - 2*a^4*b*x^2 + a^5)","A",0
244,1,202,0,0.578069," ","integrate(1/x^2/(-b*x^2+a)^3,x, algorithm=""fricas"")","\left[-\frac{30 \, b^{2} x^{4} - 50 \, a b x^{2} - 15 \, {\left(b^{2} x^{5} - 2 \, a b x^{3} + a^{2} x\right)} \sqrt{\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{\frac{b}{a}} + a}{b x^{2} - a}\right) + 16 \, a^{2}}{16 \, {\left(a^{3} b^{2} x^{5} - 2 \, a^{4} b x^{3} + a^{5} x\right)}}, -\frac{15 \, b^{2} x^{4} - 25 \, a b x^{2} + 15 \, {\left(b^{2} x^{5} - 2 \, a b x^{3} + a^{2} x\right)} \sqrt{-\frac{b}{a}} \arctan\left(x \sqrt{-\frac{b}{a}}\right) + 8 \, a^{2}}{8 \, {\left(a^{3} b^{2} x^{5} - 2 \, a^{4} b x^{3} + a^{5} x\right)}}\right]"," ",0,"[-1/16*(30*b^2*x^4 - 50*a*b*x^2 - 15*(b^2*x^5 - 2*a*b*x^3 + a^2*x)*sqrt(b/a)*log((b*x^2 + 2*a*x*sqrt(b/a) + a)/(b*x^2 - a)) + 16*a^2)/(a^3*b^2*x^5 - 2*a^4*b*x^3 + a^5*x), -1/8*(15*b^2*x^4 - 25*a*b*x^2 + 15*(b^2*x^5 - 2*a*b*x^3 + a^2*x)*sqrt(-b/a)*arctan(x*sqrt(-b/a)) + 8*a^2)/(a^3*b^2*x^5 - 2*a^4*b*x^3 + a^5*x)]","A",0
245,1,121,0,0.610291," ","integrate(1/x^3/(-b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{6 \, a b^{2} x^{4} - 9 \, a^{2} b x^{2} + 2 \, a^{3} + 6 \, {\left(b^{3} x^{6} - 2 \, a b^{2} x^{4} + a^{2} b x^{2}\right)} \log\left(b x^{2} - a\right) - 12 \, {\left(b^{3} x^{6} - 2 \, a b^{2} x^{4} + a^{2} b x^{2}\right)} \log\left(x\right)}{4 \, {\left(a^{4} b^{2} x^{6} - 2 \, a^{5} b x^{4} + a^{6} x^{2}\right)}}"," ",0,"-1/4*(6*a*b^2*x^4 - 9*a^2*b*x^2 + 2*a^3 + 6*(b^3*x^6 - 2*a*b^2*x^4 + a^2*b*x^2)*log(b*x^2 - a) - 12*(b^3*x^6 - 2*a*b^2*x^4 + a^2*b*x^2)*log(x))/(a^4*b^2*x^6 - 2*a^5*b*x^4 + a^6*x^2)","A",0
246,1,60,0,0.631702," ","integrate(x^3/(-b*x^2+a)^5,x, algorithm=""fricas"")","\frac{4 \, b x^{2} - a}{24 \, {\left(b^{6} x^{8} - 4 \, a b^{5} x^{6} + 6 \, a^{2} b^{4} x^{4} - 4 \, a^{3} b^{3} x^{2} + a^{4} b^{2}\right)}}"," ",0,"1/24*(4*b*x^2 - a)/(b^6*x^8 - 4*a*b^5*x^6 + 6*a^2*b^4*x^4 - 4*a^3*b^3*x^2 + a^4*b^2)","A",0
247,1,324,0,0.540296," ","integrate(x^2/(-b*x^2+a)^5,x, algorithm=""fricas"")","\left[\frac{30 \, a b^{4} x^{7} - 110 \, a^{2} b^{3} x^{5} + 146 \, a^{3} b^{2} x^{3} + 30 \, a^{4} b x + 15 \, {\left(b^{4} x^{8} - 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{a b} x + a}{b x^{2} - a}\right)}{768 \, {\left(a^{4} b^{6} x^{8} - 4 \, a^{5} b^{5} x^{6} + 6 \, a^{6} b^{4} x^{4} - 4 \, a^{7} b^{3} x^{2} + a^{8} b^{2}\right)}}, \frac{15 \, a b^{4} x^{7} - 55 \, a^{2} b^{3} x^{5} + 73 \, a^{3} b^{2} x^{3} + 15 \, a^{4} b x + 15 \, {\left(b^{4} x^{8} - 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b} x}{a}\right)}{384 \, {\left(a^{4} b^{6} x^{8} - 4 \, a^{5} b^{5} x^{6} + 6 \, a^{6} b^{4} x^{4} - 4 \, a^{7} b^{3} x^{2} + a^{8} b^{2}\right)}}\right]"," ",0,"[1/768*(30*a*b^4*x^7 - 110*a^2*b^3*x^5 + 146*a^3*b^2*x^3 + 30*a^4*b*x + 15*(b^4*x^8 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + a^4)*sqrt(a*b)*log((b*x^2 - 2*sqrt(a*b)*x + a)/(b*x^2 - a)))/(a^4*b^6*x^8 - 4*a^5*b^5*x^6 + 6*a^6*b^4*x^4 - 4*a^7*b^3*x^2 + a^8*b^2), 1/384*(15*a*b^4*x^7 - 55*a^2*b^3*x^5 + 73*a^3*b^2*x^3 + 15*a^4*b*x + 15*(b^4*x^8 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + a^4)*sqrt(-a*b)*arctan(sqrt(-a*b)*x/a))/(a^4*b^6*x^8 - 4*a^5*b^5*x^6 + 6*a^6*b^4*x^4 - 4*a^7*b^3*x^2 + a^8*b^2)]","A",0
248,1,48,0,0.530247," ","integrate(x/(-b*x^2+a)^5,x, algorithm=""fricas"")","\frac{1}{8 \, {\left(b^{5} x^{8} - 4 \, a b^{4} x^{6} + 6 \, a^{2} b^{3} x^{4} - 4 \, a^{3} b^{2} x^{2} + a^{4} b\right)}}"," ",0,"1/8/(b^5*x^8 - 4*a*b^4*x^6 + 6*a^2*b^3*x^4 - 4*a^3*b^2*x^2 + a^4*b)","B",0
249,1,320,0,0.558584," ","integrate(1/(-b*x^2+a)^5,x, algorithm=""fricas"")","\left[-\frac{210 \, a b^{4} x^{7} - 770 \, a^{2} b^{3} x^{5} + 1022 \, a^{3} b^{2} x^{3} - 558 \, a^{4} b x - 105 \, {\left(b^{4} x^{8} - 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{a b} \log\left(\frac{b x^{2} + 2 \, \sqrt{a b} x + a}{b x^{2} - a}\right)}{768 \, {\left(a^{5} b^{5} x^{8} - 4 \, a^{6} b^{4} x^{6} + 6 \, a^{7} b^{3} x^{4} - 4 \, a^{8} b^{2} x^{2} + a^{9} b\right)}}, -\frac{105 \, a b^{4} x^{7} - 385 \, a^{2} b^{3} x^{5} + 511 \, a^{3} b^{2} x^{3} - 279 \, a^{4} b x + 105 \, {\left(b^{4} x^{8} - 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b} x}{a}\right)}{384 \, {\left(a^{5} b^{5} x^{8} - 4 \, a^{6} b^{4} x^{6} + 6 \, a^{7} b^{3} x^{4} - 4 \, a^{8} b^{2} x^{2} + a^{9} b\right)}}\right]"," ",0,"[-1/768*(210*a*b^4*x^7 - 770*a^2*b^3*x^5 + 1022*a^3*b^2*x^3 - 558*a^4*b*x - 105*(b^4*x^8 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + a^4)*sqrt(a*b)*log((b*x^2 + 2*sqrt(a*b)*x + a)/(b*x^2 - a)))/(a^5*b^5*x^8 - 4*a^6*b^4*x^6 + 6*a^7*b^3*x^4 - 4*a^8*b^2*x^2 + a^9*b), -1/384*(105*a*b^4*x^7 - 385*a^2*b^3*x^5 + 511*a^3*b^2*x^3 - 279*a^4*b*x + 105*(b^4*x^8 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + a^4)*sqrt(-a*b)*arctan(sqrt(-a*b)*x/a))/(a^5*b^5*x^8 - 4*a^6*b^4*x^6 + 6*a^7*b^3*x^4 - 4*a^8*b^2*x^2 + a^9*b)]","A",0
250,1,180,0,0.541758," ","integrate(1/x/(-b*x^2+a)^5,x, algorithm=""fricas"")","-\frac{12 \, a b^{3} x^{6} - 42 \, a^{2} b^{2} x^{4} + 52 \, a^{3} b x^{2} - 25 \, a^{4} + 12 \, {\left(b^{4} x^{8} - 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + a^{4}\right)} \log\left(b x^{2} - a\right) - 24 \, {\left(b^{4} x^{8} - 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + a^{4}\right)} \log\left(x\right)}{24 \, {\left(a^{5} b^{4} x^{8} - 4 \, a^{6} b^{3} x^{6} + 6 \, a^{7} b^{2} x^{4} - 4 \, a^{8} b x^{2} + a^{9}\right)}}"," ",0,"-1/24*(12*a*b^3*x^6 - 42*a^2*b^2*x^4 + 52*a^3*b*x^2 - 25*a^4 + 12*(b^4*x^8 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + a^4)*log(b*x^2 - a) - 24*(b^4*x^8 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + a^4)*log(x))/(a^5*b^4*x^8 - 4*a^6*b^3*x^6 + 6*a^7*b^2*x^4 - 4*a^8*b*x^2 + a^9)","B",0
251,1,334,0,0.563072," ","integrate(1/x^2/(-b*x^2+a)^5,x, algorithm=""fricas"")","\left[-\frac{630 \, b^{4} x^{8} - 2310 \, a b^{3} x^{6} + 3066 \, a^{2} b^{2} x^{4} - 1674 \, a^{3} b x^{2} + 256 \, a^{4} - 315 \, {\left(b^{4} x^{9} - 4 \, a b^{3} x^{7} + 6 \, a^{2} b^{2} x^{5} - 4 \, a^{3} b x^{3} + a^{4} x\right)} \sqrt{\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{\frac{b}{a}} + a}{b x^{2} - a}\right)}{256 \, {\left(a^{5} b^{4} x^{9} - 4 \, a^{6} b^{3} x^{7} + 6 \, a^{7} b^{2} x^{5} - 4 \, a^{8} b x^{3} + a^{9} x\right)}}, -\frac{315 \, b^{4} x^{8} - 1155 \, a b^{3} x^{6} + 1533 \, a^{2} b^{2} x^{4} - 837 \, a^{3} b x^{2} + 128 \, a^{4} + 315 \, {\left(b^{4} x^{9} - 4 \, a b^{3} x^{7} + 6 \, a^{2} b^{2} x^{5} - 4 \, a^{3} b x^{3} + a^{4} x\right)} \sqrt{-\frac{b}{a}} \arctan\left(x \sqrt{-\frac{b}{a}}\right)}{128 \, {\left(a^{5} b^{4} x^{9} - 4 \, a^{6} b^{3} x^{7} + 6 \, a^{7} b^{2} x^{5} - 4 \, a^{8} b x^{3} + a^{9} x\right)}}\right]"," ",0,"[-1/256*(630*b^4*x^8 - 2310*a*b^3*x^6 + 3066*a^2*b^2*x^4 - 1674*a^3*b*x^2 + 256*a^4 - 315*(b^4*x^9 - 4*a*b^3*x^7 + 6*a^2*b^2*x^5 - 4*a^3*b*x^3 + a^4*x)*sqrt(b/a)*log((b*x^2 + 2*a*x*sqrt(b/a) + a)/(b*x^2 - a)))/(a^5*b^4*x^9 - 4*a^6*b^3*x^7 + 6*a^7*b^2*x^5 - 4*a^8*b*x^3 + a^9*x), -1/128*(315*b^4*x^8 - 1155*a*b^3*x^6 + 1533*a^2*b^2*x^4 - 837*a^3*b*x^2 + 128*a^4 + 315*(b^4*x^9 - 4*a*b^3*x^7 + 6*a^2*b^2*x^5 - 4*a^3*b*x^3 + a^4*x)*sqrt(-b/a)*arctan(x*sqrt(-b/a)))/(a^5*b^4*x^9 - 4*a^6*b^3*x^7 + 6*a^7*b^2*x^5 - 4*a^8*b*x^3 + a^9*x)]","A",0
252,1,209,0,0.687845," ","integrate(1/x^3/(-b*x^2+a)^5,x, algorithm=""fricas"")","-\frac{60 \, a b^{4} x^{8} - 210 \, a^{2} b^{3} x^{6} + 260 \, a^{3} b^{2} x^{4} - 125 \, a^{4} b x^{2} + 12 \, a^{5} + 60 \, {\left(b^{5} x^{10} - 4 \, a b^{4} x^{8} + 6 \, a^{2} b^{3} x^{6} - 4 \, a^{3} b^{2} x^{4} + a^{4} b x^{2}\right)} \log\left(b x^{2} - a\right) - 120 \, {\left(b^{5} x^{10} - 4 \, a b^{4} x^{8} + 6 \, a^{2} b^{3} x^{6} - 4 \, a^{3} b^{2} x^{4} + a^{4} b x^{2}\right)} \log\left(x\right)}{24 \, {\left(a^{6} b^{4} x^{10} - 4 \, a^{7} b^{3} x^{8} + 6 \, a^{8} b^{2} x^{6} - 4 \, a^{9} b x^{4} + a^{10} x^{2}\right)}}"," ",0,"-1/24*(60*a*b^4*x^8 - 210*a^2*b^3*x^6 + 260*a^3*b^2*x^4 - 125*a^4*b*x^2 + 12*a^5 + 60*(b^5*x^10 - 4*a*b^4*x^8 + 6*a^2*b^3*x^6 - 4*a^3*b^2*x^4 + a^4*b*x^2)*log(b*x^2 - a) - 120*(b^5*x^10 - 4*a*b^4*x^8 + 6*a^2*b^3*x^6 - 4*a^3*b^2*x^4 + a^4*b*x^2)*log(x))/(a^6*b^4*x^10 - 4*a^7*b^3*x^8 + 6*a^8*b^2*x^6 - 4*a^9*b*x^4 + a^10*x^2)","B",0
253,1,13,0,0.548031," ","integrate(1/x/(b*x^2+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(b x^{2} + 1\right) + \log\left(x\right)"," ",0,"-1/2*log(b*x^2 + 1) + log(x)","A",0
254,1,15,0,0.447994," ","integrate(1/x/(b*x^2-1),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(b x^{2} - 1\right) - \log\left(x\right)"," ",0,"1/2*log(b*x^2 - 1) - log(x)","A",0
255,1,28,0,0.642070," ","integrate(1/x^3/(b*x^2+1),x, algorithm=""fricas"")","\frac{b x^{2} \log\left(b x^{2} + 1\right) - 2 \, b x^{2} \log\left(x\right) - 1}{2 \, x^{2}}"," ",0,"1/2*(b*x^2*log(b*x^2 + 1) - 2*b*x^2*log(x) - 1)/x^2","A",0
256,1,28,0,0.570020," ","integrate(1/x^3/(b*x^2-1),x, algorithm=""fricas"")","\frac{b x^{2} \log\left(b x^{2} - 1\right) - 2 \, b x^{2} \log\left(x\right) + 1}{2 \, x^{2}}"," ",0,"1/2*(b*x^2*log(b*x^2 - 1) - 2*b*x^2*log(x) + 1)/x^2","A",0
257,1,82,0,0.529646," ","integrate(1/(a*x^2+a-1),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + a} \log\left(\frac{a x^{2} - 2 \, \sqrt{-a^{2} + a} x - a + 1}{a x^{2} + a - 1}\right)}{2 \, {\left(a^{2} - a\right)}}, \frac{\arctan\left(\frac{\sqrt{a^{2} - a} x}{a - 1}\right)}{\sqrt{a^{2} - a}}\right]"," ",0,"[-1/2*sqrt(-a^2 + a)*log((a*x^2 - 2*sqrt(-a^2 + a)*x - a + 1)/(a*x^2 + a - 1))/(a^2 - a), arctan(sqrt(a^2 - a)*x/(a - 1))/sqrt(a^2 - a)]","A",0
258,1,102,0,0.522619," ","integrate(1/(-c-d+(c-d)*x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{{\left(c - d\right)} x^{2} - 2 \, \sqrt{c^{2} - d^{2}} x + c + d}{{\left(c - d\right)} x^{2} - c - d}\right)}{2 \, \sqrt{c^{2} - d^{2}}}, \frac{\sqrt{-c^{2} + d^{2}} \arctan\left(\frac{\sqrt{-c^{2} + d^{2}} x}{c + d}\right)}{c^{2} - d^{2}}\right]"," ",0,"[1/2*log(((c - d)*x^2 - 2*sqrt(c^2 - d^2)*x + c + d)/((c - d)*x^2 - c - d))/sqrt(c^2 - d^2), sqrt(-c^2 + d^2)*arctan(sqrt(-c^2 + d^2)*x/(c + d))/(c^2 - d^2)]","A",0
259,1,40,0,0.452209," ","integrate(1/x/(b*x^2+1)^2,x, algorithm=""fricas"")","-\frac{{\left(b x^{2} + 1\right)} \log\left(b x^{2} + 1\right) - 2 \, {\left(b x^{2} + 1\right)} \log\left(x\right) - 1}{2 \, {\left(b x^{2} + 1\right)}}"," ",0,"-1/2*((b*x^2 + 1)*log(b*x^2 + 1) - 2*(b*x^2 + 1)*log(x) - 1)/(b*x^2 + 1)","A",0
260,1,40,0,0.470267," ","integrate(1/x/(b*x^2-1)^2,x, algorithm=""fricas"")","-\frac{{\left(b x^{2} - 1\right)} \log\left(b x^{2} - 1\right) - 2 \, {\left(b x^{2} - 1\right)} \log\left(x\right) + 1}{2 \, {\left(b x^{2} - 1\right)}}"," ",0,"-1/2*((b*x^2 - 1)*log(b*x^2 - 1) - 2*(b*x^2 - 1)*log(x) + 1)/(b*x^2 - 1)","A",0
261,1,106,0,0.599806," ","integrate(1/(a+(-a*c+b)*x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{{\left(a c - b\right)} x^{2} + 2 \, \sqrt{a^{2} c - a b} x + a}{{\left(a c - b\right)} x^{2} - a}\right)}{2 \, \sqrt{a^{2} c - a b}}, -\frac{\sqrt{-a^{2} c + a b} \arctan\left(\frac{\sqrt{-a^{2} c + a b} x}{a}\right)}{a^{2} c - a b}\right]"," ",0,"[1/2*log(((a*c - b)*x^2 + 2*sqrt(a^2*c - a*b)*x + a)/((a*c - b)*x^2 - a))/sqrt(a^2*c - a*b), -sqrt(-a^2*c + a*b)*arctan(sqrt(-a^2*c + a*b)*x/a)/(a^2*c - a*b)]","A",0
262,1,105,0,0.836566," ","integrate(1/(a-(-a*c+b)*x^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} c + a b} \log\left(\frac{{\left(a c - b\right)} x^{2} - 2 \, \sqrt{-a^{2} c + a b} x - a}{{\left(a c - b\right)} x^{2} + a}\right)}{2 \, {\left(a^{2} c - a b\right)}}, \frac{\arctan\left(\frac{\sqrt{a^{2} c - a b} x}{a}\right)}{\sqrt{a^{2} c - a b}}\right]"," ",0,"[-1/2*sqrt(-a^2*c + a*b)*log(((a*c - b)*x^2 - 2*sqrt(-a^2*c + a*b)*x - a)/((a*c - b)*x^2 + a))/(a^2*c - a*b), arctan(sqrt(a^2*c - a*b)*x/a)/sqrt(a^2*c - a*b)]","A",0
263,1,182,0,0.514279," ","integrate(1/(c*(a-d)-(b-c)*x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{{\left(b - c\right)} x^{2} + a c - c d + 2 \, \sqrt{a b c - a c^{2} - {\left(b c - c^{2}\right)} d} x}{{\left(b - c\right)} x^{2} - a c + c d}\right)}{2 \, \sqrt{a b c - a c^{2} - {\left(b c - c^{2}\right)} d}}, \frac{\sqrt{-a b c + a c^{2} + {\left(b c - c^{2}\right)} d} \arctan\left(-\frac{\sqrt{-a b c + a c^{2} + {\left(b c - c^{2}\right)} d} x}{a c - c d}\right)}{a b c - a c^{2} - {\left(b c - c^{2}\right)} d}\right]"," ",0,"[1/2*log(((b - c)*x^2 + a*c - c*d + 2*sqrt(a*b*c - a*c^2 - (b*c - c^2)*d)*x)/((b - c)*x^2 - a*c + c*d))/sqrt(a*b*c - a*c^2 - (b*c - c^2)*d), sqrt(-a*b*c + a*c^2 + (b*c - c^2)*d)*arctan(-sqrt(-a*b*c + a*c^2 + (b*c - c^2)*d)*x/(a*c - c*d))/(a*b*c - a*c^2 - (b*c - c^2)*d)]","B",0
264,1,18,0,0.471572," ","integrate(x^(7/2)*(b*x^2+a),x, algorithm=""fricas"")","\frac{2}{117} \, {\left(9 \, b x^{6} + 13 \, a x^{4}\right)} \sqrt{x}"," ",0,"2/117*(9*b*x^6 + 13*a*x^4)*sqrt(x)","A",0
265,1,18,0,0.658670," ","integrate(x^(5/2)*(b*x^2+a),x, algorithm=""fricas"")","\frac{2}{77} \, {\left(7 \, b x^{5} + 11 \, a x^{3}\right)} \sqrt{x}"," ",0,"2/77*(7*b*x^5 + 11*a*x^3)*sqrt(x)","A",0
266,1,18,0,0.640259," ","integrate(x^(3/2)*(b*x^2+a),x, algorithm=""fricas"")","\frac{2}{45} \, {\left(5 \, b x^{4} + 9 \, a x^{2}\right)} \sqrt{x}"," ",0,"2/45*(5*b*x^4 + 9*a*x^2)*sqrt(x)","A",0
267,1,16,0,0.532041," ","integrate((b*x^2+a)*x^(1/2),x, algorithm=""fricas"")","\frac{2}{21} \, {\left(3 \, b x^{3} + 7 \, a x\right)} \sqrt{x}"," ",0,"2/21*(3*b*x^3 + 7*a*x)*sqrt(x)","A",0
268,1,14,0,0.571495," ","integrate((b*x^2+a)/x^(1/2),x, algorithm=""fricas"")","\frac{2}{5} \, {\left(b x^{2} + 5 \, a\right)} \sqrt{x}"," ",0,"2/5*(b*x^2 + 5*a)*sqrt(x)","A",0
269,1,14,0,0.554906," ","integrate((b*x^2+a)/x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x^{2} - 3 \, a\right)}}{3 \, \sqrt{x}}"," ",0,"2/3*(b*x^2 - 3*a)/sqrt(x)","A",0
270,1,15,0,0.454845," ","integrate((b*x^2+a)/x^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b x^{2} - a\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*(3*b*x^2 - a)/x^(3/2)","A",0
271,1,13,0,0.529867," ","integrate((b*x^2+a)/x^(7/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(5 \, b x^{2} + a\right)}}{5 \, x^{\frac{5}{2}}}"," ",0,"-2/5*(5*b*x^2 + a)/x^(5/2)","A",0
272,1,29,0,0.649785," ","integrate(x^(7/2)*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{2}{1989} \, {\left(117 \, b^{2} x^{8} + 306 \, a b x^{6} + 221 \, a^{2} x^{4}\right)} \sqrt{x}"," ",0,"2/1989*(117*b^2*x^8 + 306*a*b*x^6 + 221*a^2*x^4)*sqrt(x)","A",0
273,1,29,0,0.636208," ","integrate(x^(5/2)*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{2}{1155} \, {\left(77 \, b^{2} x^{7} + 210 \, a b x^{5} + 165 \, a^{2} x^{3}\right)} \sqrt{x}"," ",0,"2/1155*(77*b^2*x^7 + 210*a*b*x^5 + 165*a^2*x^3)*sqrt(x)","A",0
274,1,29,0,0.500437," ","integrate(x^(3/2)*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{2}{585} \, {\left(45 \, b^{2} x^{6} + 130 \, a b x^{4} + 117 \, a^{2} x^{2}\right)} \sqrt{x}"," ",0,"2/585*(45*b^2*x^6 + 130*a*b*x^4 + 117*a^2*x^2)*sqrt(x)","A",0
275,1,27,0,0.639122," ","integrate((b*x^2+a)^2*x^(1/2),x, algorithm=""fricas"")","\frac{2}{231} \, {\left(21 \, b^{2} x^{5} + 66 \, a b x^{3} + 77 \, a^{2} x\right)} \sqrt{x}"," ",0,"2/231*(21*b^2*x^5 + 66*a*b*x^3 + 77*a^2*x)*sqrt(x)","A",0
276,1,26,0,0.624880," ","integrate((b*x^2+a)^2/x^(1/2),x, algorithm=""fricas"")","\frac{2}{45} \, {\left(5 \, b^{2} x^{4} + 18 \, a b x^{2} + 45 \, a^{2}\right)} \sqrt{x}"," ",0,"2/45*(5*b^2*x^4 + 18*a*b*x^2 + 45*a^2)*sqrt(x)","A",0
277,1,26,0,0.556722," ","integrate((b*x^2+a)^2/x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{4} + 14 \, a b x^{2} - 21 \, a^{2}\right)}}{21 \, \sqrt{x}}"," ",0,"2/21*(3*b^2*x^4 + 14*a*b*x^2 - 21*a^2)/sqrt(x)","A",0
278,1,26,0,0.619369," ","integrate((b*x^2+a)^2/x^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{4} + 30 \, a b x^{2} - 5 \, a^{2}\right)}}{15 \, x^{\frac{3}{2}}}"," ",0,"2/15*(3*b^2*x^4 + 30*a*b*x^2 - 5*a^2)/x^(3/2)","A",0
279,1,26,0,0.478555," ","integrate((b*x^2+a)^2/x^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{2} x^{4} - 30 \, a b x^{2} - 3 \, a^{2}\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/15*(5*b^2*x^4 - 30*a*b*x^2 - 3*a^2)/x^(5/2)","A",0
280,1,40,0,0.634591," ","integrate(x^(7/2)*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{2}{13923} \, {\left(663 \, b^{3} x^{10} + 2457 \, a b^{2} x^{8} + 3213 \, a^{2} b x^{6} + 1547 \, a^{3} x^{4}\right)} \sqrt{x}"," ",0,"2/13923*(663*b^3*x^10 + 2457*a*b^2*x^8 + 3213*a^2*b*x^6 + 1547*a^3*x^4)*sqrt(x)","A",0
281,1,40,0,0.526772," ","integrate(x^(5/2)*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{2}{7315} \, {\left(385 \, b^{3} x^{9} + 1463 \, a b^{2} x^{7} + 1995 \, a^{2} b x^{5} + 1045 \, a^{3} x^{3}\right)} \sqrt{x}"," ",0,"2/7315*(385*b^3*x^9 + 1463*a*b^2*x^7 + 1995*a^2*b*x^5 + 1045*a^3*x^3)*sqrt(x)","A",0
282,1,40,0,0.799118," ","integrate(x^(3/2)*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{2}{3315} \, {\left(195 \, b^{3} x^{8} + 765 \, a b^{2} x^{6} + 1105 \, a^{2} b x^{4} + 663 \, a^{3} x^{2}\right)} \sqrt{x}"," ",0,"2/3315*(195*b^3*x^8 + 765*a*b^2*x^6 + 1105*a^2*b*x^4 + 663*a^3*x^2)*sqrt(x)","A",0
283,1,38,0,0.817133," ","integrate((b*x^2+a)^3*x^(1/2),x, algorithm=""fricas"")","\frac{2}{1155} \, {\left(77 \, b^{3} x^{7} + 315 \, a b^{2} x^{5} + 495 \, a^{2} b x^{3} + 385 \, a^{3} x\right)} \sqrt{x}"," ",0,"2/1155*(77*b^3*x^7 + 315*a*b^2*x^5 + 495*a^2*b*x^3 + 385*a^3*x)*sqrt(x)","A",0
284,1,37,0,0.557453," ","integrate((b*x^2+a)^3/x^(1/2),x, algorithm=""fricas"")","\frac{2}{195} \, {\left(15 \, b^{3} x^{6} + 65 \, a b^{2} x^{4} + 117 \, a^{2} b x^{2} + 195 \, a^{3}\right)} \sqrt{x}"," ",0,"2/195*(15*b^3*x^6 + 65*a*b^2*x^4 + 117*a^2*b*x^2 + 195*a^3)*sqrt(x)","A",0
285,1,37,0,0.456266," ","integrate((b*x^2+a)^3/x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(7 \, b^{3} x^{6} + 33 \, a b^{2} x^{4} + 77 \, a^{2} b x^{2} - 77 \, a^{3}\right)}}{77 \, \sqrt{x}}"," ",0,"2/77*(7*b^3*x^6 + 33*a*b^2*x^4 + 77*a^2*b*x^2 - 77*a^3)/sqrt(x)","A",0
286,1,37,0,0.668655," ","integrate((b*x^2+a)^3/x^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{3} x^{6} + 27 \, a b^{2} x^{4} + 135 \, a^{2} b x^{2} - 15 \, a^{3}\right)}}{45 \, x^{\frac{3}{2}}}"," ",0,"2/45*(5*b^3*x^6 + 27*a*b^2*x^4 + 135*a^2*b*x^2 - 15*a^3)/x^(3/2)","A",0
287,1,37,0,0.702427," ","integrate((b*x^2+a)^3/x^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{3} x^{6} + 35 \, a b^{2} x^{4} - 105 \, a^{2} b x^{2} - 7 \, a^{3}\right)}}{35 \, x^{\frac{5}{2}}}"," ",0,"2/35*(5*b^3*x^6 + 35*a*b^2*x^4 - 105*a^2*b*x^2 - 7*a^3)/x^(5/2)","A",0
288,1,170,0,0.597795," ","integrate(x^(7/2)/(b*x^2+a),x, algorithm=""fricas"")","\frac{20 \, b^{2} \left(-\frac{a^{5}}{b^{9}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a b^{7} \sqrt{x} \left(-\frac{a^{5}}{b^{9}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{-\frac{a^{5}}{b^{9}}} + a^{2} x} b^{7} \left(-\frac{a^{5}}{b^{9}}\right)^{\frac{3}{4}}}{a^{5}}\right) + 5 \, b^{2} \left(-\frac{a^{5}}{b^{9}}\right)^{\frac{1}{4}} \log\left(b^{2} \left(-\frac{a^{5}}{b^{9}}\right)^{\frac{1}{4}} + a \sqrt{x}\right) - 5 \, b^{2} \left(-\frac{a^{5}}{b^{9}}\right)^{\frac{1}{4}} \log\left(-b^{2} \left(-\frac{a^{5}}{b^{9}}\right)^{\frac{1}{4}} + a \sqrt{x}\right) + 4 \, {\left(b x^{2} - 5 \, a\right)} \sqrt{x}}{10 \, b^{2}}"," ",0,"1/10*(20*b^2*(-a^5/b^9)^(1/4)*arctan(-(a*b^7*sqrt(x)*(-a^5/b^9)^(3/4) - sqrt(b^4*sqrt(-a^5/b^9) + a^2*x)*b^7*(-a^5/b^9)^(3/4))/a^5) + 5*b^2*(-a^5/b^9)^(1/4)*log(b^2*(-a^5/b^9)^(1/4) + a*sqrt(x)) - 5*b^2*(-a^5/b^9)^(1/4)*log(-b^2*(-a^5/b^9)^(1/4) + a*sqrt(x)) + 4*(b*x^2 - 5*a)*sqrt(x))/b^2","A",0
289,1,165,0,0.634278," ","integrate(x^(5/2)/(b*x^2+a),x, algorithm=""fricas"")","\frac{12 \, b \left(-\frac{a^{3}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a^{2} b^{2} \sqrt{x} \left(-\frac{a^{3}}{b^{7}}\right)^{\frac{1}{4}} - \sqrt{-a^{3} b^{3} \sqrt{-\frac{a^{3}}{b^{7}}} + a^{4} x} b^{2} \left(-\frac{a^{3}}{b^{7}}\right)^{\frac{1}{4}}}{a^{3}}\right) - 3 \, b \left(-\frac{a^{3}}{b^{7}}\right)^{\frac{1}{4}} \log\left(b^{5} \left(-\frac{a^{3}}{b^{7}}\right)^{\frac{3}{4}} + a^{2} \sqrt{x}\right) + 3 \, b \left(-\frac{a^{3}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-b^{5} \left(-\frac{a^{3}}{b^{7}}\right)^{\frac{3}{4}} + a^{2} \sqrt{x}\right) + 4 \, x^{\frac{3}{2}}}{6 \, b}"," ",0,"1/6*(12*b*(-a^3/b^7)^(1/4)*arctan(-(a^2*b^2*sqrt(x)*(-a^3/b^7)^(1/4) - sqrt(-a^3*b^3*sqrt(-a^3/b^7) + a^4*x)*b^2*(-a^3/b^7)^(1/4))/a^3) - 3*b*(-a^3/b^7)^(1/4)*log(b^5*(-a^3/b^7)^(3/4) + a^2*sqrt(x)) + 3*b*(-a^3/b^7)^(1/4)*log(-b^5*(-a^3/b^7)^(3/4) + a^2*sqrt(x)) + 4*x^(3/2))/b","A",0
290,1,124,0,0.495117," ","integrate(x^(3/2)/(b*x^2+a),x, algorithm=""fricas"")","-\frac{4 \, b \left(-\frac{a}{b^{5}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{b^{2} \sqrt{-\frac{a}{b^{5}}} + x} b^{4} \left(-\frac{a}{b^{5}}\right)^{\frac{3}{4}} - b^{4} \sqrt{x} \left(-\frac{a}{b^{5}}\right)^{\frac{3}{4}}}{a}\right) + b \left(-\frac{a}{b^{5}}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{a}{b^{5}}\right)^{\frac{1}{4}} + \sqrt{x}\right) - b \left(-\frac{a}{b^{5}}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{a}{b^{5}}\right)^{\frac{1}{4}} + \sqrt{x}\right) - 4 \, \sqrt{x}}{2 \, b}"," ",0,"-1/2*(4*b*(-a/b^5)^(1/4)*arctan((sqrt(b^2*sqrt(-a/b^5) + x)*b^4*(-a/b^5)^(3/4) - b^4*sqrt(x)*(-a/b^5)^(3/4))/a) + b*(-a/b^5)^(1/4)*log(b*(-a/b^5)^(1/4) + sqrt(x)) - b*(-a/b^5)^(1/4)*log(-b*(-a/b^5)^(1/4) + sqrt(x)) - 4*sqrt(x))/b","A",0
291,1,126,0,0.528136," ","integrate(x^(1/2)/(b*x^2+a),x, algorithm=""fricas"")","-2 \, \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-a b \sqrt{-\frac{1}{a b^{3}}} + x} b \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} - b \sqrt{x} \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \log\left(a b^{2} \left(-\frac{1}{a b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right) - \frac{1}{2} \, \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \log\left(-a b^{2} \left(-\frac{1}{a b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right)"," ",0,"-2*(-1/(a*b^3))^(1/4)*arctan(sqrt(-a*b*sqrt(-1/(a*b^3)) + x)*b*(-1/(a*b^3))^(1/4) - b*sqrt(x)*(-1/(a*b^3))^(1/4)) + 1/2*(-1/(a*b^3))^(1/4)*log(a*b^2*(-1/(a*b^3))^(3/4) + sqrt(x)) - 1/2*(-1/(a*b^3))^(1/4)*log(-a*b^2*(-1/(a*b^3))^(3/4) + sqrt(x))","A",0
292,1,126,0,0.640192," ","integrate(1/(b*x^2+a)/x^(1/2),x, algorithm=""fricas"")","2 \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{2} \sqrt{-\frac{1}{a^{3} b}} + x} a^{2} b \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}} - a^{2} b \sqrt{x} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right) + \frac{1}{2} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(a \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + \sqrt{x}\right) - \frac{1}{2} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(-a \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + \sqrt{x}\right)"," ",0,"2*(-1/(a^3*b))^(1/4)*arctan(sqrt(a^2*sqrt(-1/(a^3*b)) + x)*a^2*b*(-1/(a^3*b))^(3/4) - a^2*b*sqrt(x)*(-1/(a^3*b))^(3/4)) + 1/2*(-1/(a^3*b))^(1/4)*log(a*(-1/(a^3*b))^(1/4) + sqrt(x)) - 1/2*(-1/(a^3*b))^(1/4)*log(-a*(-1/(a^3*b))^(1/4) + sqrt(x))","A",0
293,1,142,0,0.554589," ","integrate(1/x^(3/2)/(b*x^2+a),x, algorithm=""fricas"")","\frac{4 \, a x \left(-\frac{b}{a^{5}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a b \sqrt{x} \left(-\frac{b}{a^{5}}\right)^{\frac{1}{4}} - \sqrt{-a^{3} b \sqrt{-\frac{b}{a^{5}}} + b^{2} x} a \left(-\frac{b}{a^{5}}\right)^{\frac{1}{4}}}{b}\right) - a x \left(-\frac{b}{a^{5}}\right)^{\frac{1}{4}} \log\left(a^{4} \left(-\frac{b}{a^{5}}\right)^{\frac{3}{4}} + b \sqrt{x}\right) + a x \left(-\frac{b}{a^{5}}\right)^{\frac{1}{4}} \log\left(-a^{4} \left(-\frac{b}{a^{5}}\right)^{\frac{3}{4}} + b \sqrt{x}\right) - 4 \, \sqrt{x}}{2 \, a x}"," ",0,"1/2*(4*a*x*(-b/a^5)^(1/4)*arctan(-(a*b*sqrt(x)*(-b/a^5)^(1/4) - sqrt(-a^3*b*sqrt(-b/a^5) + b^2*x)*a*(-b/a^5)^(1/4))/b) - a*x*(-b/a^5)^(1/4)*log(a^4*(-b/a^5)^(3/4) + b*sqrt(x)) + a*x*(-b/a^5)^(1/4)*log(-a^4*(-b/a^5)^(3/4) + b*sqrt(x)) - 4*sqrt(x))/(a*x)","A",0
294,1,167,0,0.570948," ","integrate(1/x^(5/2)/(b*x^2+a),x, algorithm=""fricas"")","-\frac{12 \, a x^{2} \left(-\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a^{5} b \sqrt{x} \left(-\frac{b^{3}}{a^{7}}\right)^{\frac{3}{4}} - \sqrt{a^{4} \sqrt{-\frac{b^{3}}{a^{7}}} + b^{2} x} a^{5} \left(-\frac{b^{3}}{a^{7}}\right)^{\frac{3}{4}}}{b^{3}}\right) + 3 \, a x^{2} \left(-\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} \log\left(a^{2} \left(-\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} + b \sqrt{x}\right) - 3 \, a x^{2} \left(-\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} \log\left(-a^{2} \left(-\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} + b \sqrt{x}\right) + 4 \, \sqrt{x}}{6 \, a x^{2}}"," ",0,"-1/6*(12*a*x^2*(-b^3/a^7)^(1/4)*arctan(-(a^5*b*sqrt(x)*(-b^3/a^7)^(3/4) - sqrt(a^4*sqrt(-b^3/a^7) + b^2*x)*a^5*(-b^3/a^7)^(3/4))/b^3) + 3*a*x^2*(-b^3/a^7)^(1/4)*log(a^2*(-b^3/a^7)^(1/4) + b*sqrt(x)) - 3*a*x^2*(-b^3/a^7)^(1/4)*log(-a^2*(-b^3/a^7)^(1/4) + b*sqrt(x)) + 4*sqrt(x))/(a*x^2)","A",0
295,1,193,0,0.692925," ","integrate(1/x^(7/2)/(b*x^2+a),x, algorithm=""fricas"")","-\frac{20 \, a^{2} x^{3} \left(-\frac{b^{5}}{a^{9}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a^{2} b^{4} \sqrt{x} \left(-\frac{b^{5}}{a^{9}}\right)^{\frac{1}{4}} - \sqrt{-a^{5} b^{5} \sqrt{-\frac{b^{5}}{a^{9}}} + b^{8} x} a^{2} \left(-\frac{b^{5}}{a^{9}}\right)^{\frac{1}{4}}}{b^{5}}\right) - 5 \, a^{2} x^{3} \left(-\frac{b^{5}}{a^{9}}\right)^{\frac{1}{4}} \log\left(a^{7} \left(-\frac{b^{5}}{a^{9}}\right)^{\frac{3}{4}} + b^{4} \sqrt{x}\right) + 5 \, a^{2} x^{3} \left(-\frac{b^{5}}{a^{9}}\right)^{\frac{1}{4}} \log\left(-a^{7} \left(-\frac{b^{5}}{a^{9}}\right)^{\frac{3}{4}} + b^{4} \sqrt{x}\right) - 4 \, {\left(5 \, b x^{2} - a\right)} \sqrt{x}}{10 \, a^{2} x^{3}}"," ",0,"-1/10*(20*a^2*x^3*(-b^5/a^9)^(1/4)*arctan(-(a^2*b^4*sqrt(x)*(-b^5/a^9)^(1/4) - sqrt(-a^5*b^5*sqrt(-b^5/a^9) + b^8*x)*a^2*(-b^5/a^9)^(1/4))/b^5) - 5*a^2*x^3*(-b^5/a^9)^(1/4)*log(a^7*(-b^5/a^9)^(3/4) + b^4*sqrt(x)) + 5*a^2*x^3*(-b^5/a^9)^(1/4)*log(-a^7*(-b^5/a^9)^(3/4) + b^4*sqrt(x)) - 4*(5*b*x^2 - a)*sqrt(x))/(a^2*x^3)","A",0
296,1,192,0,0.777357," ","integrate(x^(7/2)/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{20 \, {\left(b^{3} x^{2} + a b^{2}\right)} \left(-\frac{a}{b^{9}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{b^{4} \sqrt{-\frac{a}{b^{9}}} + x} b^{7} \left(-\frac{a}{b^{9}}\right)^{\frac{3}{4}} - b^{7} \sqrt{x} \left(-\frac{a}{b^{9}}\right)^{\frac{3}{4}}}{a}\right) + 5 \, {\left(b^{3} x^{2} + a b^{2}\right)} \left(-\frac{a}{b^{9}}\right)^{\frac{1}{4}} \log\left(5 \, b^{2} \left(-\frac{a}{b^{9}}\right)^{\frac{1}{4}} + 5 \, \sqrt{x}\right) - 5 \, {\left(b^{3} x^{2} + a b^{2}\right)} \left(-\frac{a}{b^{9}}\right)^{\frac{1}{4}} \log\left(-5 \, b^{2} \left(-\frac{a}{b^{9}}\right)^{\frac{1}{4}} + 5 \, \sqrt{x}\right) - 4 \, {\left(4 \, b x^{2} + 5 \, a\right)} \sqrt{x}}{8 \, {\left(b^{3} x^{2} + a b^{2}\right)}}"," ",0,"-1/8*(20*(b^3*x^2 + a*b^2)*(-a/b^9)^(1/4)*arctan((sqrt(b^4*sqrt(-a/b^9) + x)*b^7*(-a/b^9)^(3/4) - b^7*sqrt(x)*(-a/b^9)^(3/4))/a) + 5*(b^3*x^2 + a*b^2)*(-a/b^9)^(1/4)*log(5*b^2*(-a/b^9)^(1/4) + 5*sqrt(x)) - 5*(b^3*x^2 + a*b^2)*(-a/b^9)^(1/4)*log(-5*b^2*(-a/b^9)^(1/4) + 5*sqrt(x)) - 4*(4*b*x^2 + 5*a)*sqrt(x))/(b^3*x^2 + a*b^2)","A",0
297,1,185,0,0.589120," ","integrate(x^(5/2)/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(b^{2} x^{2} + a b\right)} \left(-\frac{1}{a b^{7}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-a b^{3} \sqrt{-\frac{1}{a b^{7}}} + x} b^{2} \left(-\frac{1}{a b^{7}}\right)^{\frac{1}{4}} - b^{2} \sqrt{x} \left(-\frac{1}{a b^{7}}\right)^{\frac{1}{4}}\right) - 3 \, {\left(b^{2} x^{2} + a b\right)} \left(-\frac{1}{a b^{7}}\right)^{\frac{1}{4}} \log\left(a b^{5} \left(-\frac{1}{a b^{7}}\right)^{\frac{3}{4}} + \sqrt{x}\right) + 3 \, {\left(b^{2} x^{2} + a b\right)} \left(-\frac{1}{a b^{7}}\right)^{\frac{1}{4}} \log\left(-a b^{5} \left(-\frac{1}{a b^{7}}\right)^{\frac{3}{4}} + \sqrt{x}\right) + 4 \, x^{\frac{3}{2}}}{8 \, {\left(b^{2} x^{2} + a b\right)}}"," ",0,"-1/8*(12*(b^2*x^2 + a*b)*(-1/(a*b^7))^(1/4)*arctan(sqrt(-a*b^3*sqrt(-1/(a*b^7)) + x)*b^2*(-1/(a*b^7))^(1/4) - b^2*sqrt(x)*(-1/(a*b^7))^(1/4)) - 3*(b^2*x^2 + a*b)*(-1/(a*b^7))^(1/4)*log(a*b^5*(-1/(a*b^7))^(3/4) + sqrt(x)) + 3*(b^2*x^2 + a*b)*(-1/(a*b^7))^(1/4)*log(-a*b^5*(-1/(a*b^7))^(3/4) + sqrt(x)) + 4*x^(3/2))/(b^2*x^2 + a*b)","A",0
298,1,187,0,0.635540," ","integrate(x^(3/2)/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{4 \, {\left(b^{2} x^{2} + a b\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{2} b^{2} \sqrt{-\frac{1}{a^{3} b^{5}}} + x} a^{2} b^{4} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}} - a^{2} b^{4} \sqrt{x} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}}\right) + {\left(b^{2} x^{2} + a b\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}} \log\left(a b \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}} + \sqrt{x}\right) - {\left(b^{2} x^{2} + a b\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}} \log\left(-a b \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}} + \sqrt{x}\right) - 4 \, \sqrt{x}}{8 \, {\left(b^{2} x^{2} + a b\right)}}"," ",0,"1/8*(4*(b^2*x^2 + a*b)*(-1/(a^3*b^5))^(1/4)*arctan(sqrt(a^2*b^2*sqrt(-1/(a^3*b^5)) + x)*a^2*b^4*(-1/(a^3*b^5))^(3/4) - a^2*b^4*sqrt(x)*(-1/(a^3*b^5))^(3/4)) + (b^2*x^2 + a*b)*(-1/(a^3*b^5))^(1/4)*log(a*b*(-1/(a^3*b^5))^(1/4) + sqrt(x)) - (b^2*x^2 + a*b)*(-1/(a^3*b^5))^(1/4)*log(-a*b*(-1/(a^3*b^5))^(1/4) + sqrt(x)) - 4*sqrt(x))/(b^2*x^2 + a*b)","A",0
299,1,182,0,0.678530," ","integrate(x^(1/2)/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(a b x^{2} + a^{2}\right)} \left(-\frac{1}{a^{5} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-a^{3} b \sqrt{-\frac{1}{a^{5} b^{3}}} + x} a b \left(-\frac{1}{a^{5} b^{3}}\right)^{\frac{1}{4}} - a b \sqrt{x} \left(-\frac{1}{a^{5} b^{3}}\right)^{\frac{1}{4}}\right) - {\left(a b x^{2} + a^{2}\right)} \left(-\frac{1}{a^{5} b^{3}}\right)^{\frac{1}{4}} \log\left(a^{4} b^{2} \left(-\frac{1}{a^{5} b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right) + {\left(a b x^{2} + a^{2}\right)} \left(-\frac{1}{a^{5} b^{3}}\right)^{\frac{1}{4}} \log\left(-a^{4} b^{2} \left(-\frac{1}{a^{5} b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right) - 4 \, x^{\frac{3}{2}}}{8 \, {\left(a b x^{2} + a^{2}\right)}}"," ",0,"-1/8*(4*(a*b*x^2 + a^2)*(-1/(a^5*b^3))^(1/4)*arctan(sqrt(-a^3*b*sqrt(-1/(a^5*b^3)) + x)*a*b*(-1/(a^5*b^3))^(1/4) - a*b*sqrt(x)*(-1/(a^5*b^3))^(1/4)) - (a*b*x^2 + a^2)*(-1/(a^5*b^3))^(1/4)*log(a^4*b^2*(-1/(a^5*b^3))^(3/4) + sqrt(x)) + (a*b*x^2 + a^2)*(-1/(a^5*b^3))^(1/4)*log(-a^4*b^2*(-1/(a^5*b^3))^(3/4) + sqrt(x)) - 4*x^(3/2))/(a*b*x^2 + a^2)","A",0
300,1,179,0,0.781056," ","integrate(1/(b*x^2+a)^2/x^(1/2),x, algorithm=""fricas"")","\frac{12 \, {\left(a b x^{2} + a^{2}\right)} \left(-\frac{1}{a^{7} b}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{4} \sqrt{-\frac{1}{a^{7} b}} + x} a^{5} b \left(-\frac{1}{a^{7} b}\right)^{\frac{3}{4}} - a^{5} b \sqrt{x} \left(-\frac{1}{a^{7} b}\right)^{\frac{3}{4}}\right) + 3 \, {\left(a b x^{2} + a^{2}\right)} \left(-\frac{1}{a^{7} b}\right)^{\frac{1}{4}} \log\left(a^{2} \left(-\frac{1}{a^{7} b}\right)^{\frac{1}{4}} + \sqrt{x}\right) - 3 \, {\left(a b x^{2} + a^{2}\right)} \left(-\frac{1}{a^{7} b}\right)^{\frac{1}{4}} \log\left(-a^{2} \left(-\frac{1}{a^{7} b}\right)^{\frac{1}{4}} + \sqrt{x}\right) + 4 \, \sqrt{x}}{8 \, {\left(a b x^{2} + a^{2}\right)}}"," ",0,"1/8*(12*(a*b*x^2 + a^2)*(-1/(a^7*b))^(1/4)*arctan(sqrt(a^4*sqrt(-1/(a^7*b)) + x)*a^5*b*(-1/(a^7*b))^(3/4) - a^5*b*sqrt(x)*(-1/(a^7*b))^(3/4)) + 3*(a*b*x^2 + a^2)*(-1/(a^7*b))^(1/4)*log(a^2*(-1/(a^7*b))^(1/4) + sqrt(x)) - 3*(a*b*x^2 + a^2)*(-1/(a^7*b))^(1/4)*log(-a^2*(-1/(a^7*b))^(1/4) + sqrt(x)) + 4*sqrt(x))/(a*b*x^2 + a^2)","A",0
301,1,208,0,0.569646," ","integrate(1/x^(3/2)/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{20 \, {\left(a^{2} b x^{3} + a^{3} x\right)} \left(-\frac{b}{a^{9}}\right)^{\frac{1}{4}} \arctan\left(-\frac{125 \, a^{2} b \sqrt{x} \left(-\frac{b}{a^{9}}\right)^{\frac{1}{4}} - \sqrt{-15625 \, a^{5} b \sqrt{-\frac{b}{a^{9}}} + 15625 \, b^{2} x} a^{2} \left(-\frac{b}{a^{9}}\right)^{\frac{1}{4}}}{125 \, b}\right) - 5 \, {\left(a^{2} b x^{3} + a^{3} x\right)} \left(-\frac{b}{a^{9}}\right)^{\frac{1}{4}} \log\left(125 \, a^{7} \left(-\frac{b}{a^{9}}\right)^{\frac{3}{4}} + 125 \, b \sqrt{x}\right) + 5 \, {\left(a^{2} b x^{3} + a^{3} x\right)} \left(-\frac{b}{a^{9}}\right)^{\frac{1}{4}} \log\left(-125 \, a^{7} \left(-\frac{b}{a^{9}}\right)^{\frac{3}{4}} + 125 \, b \sqrt{x}\right) - 4 \, {\left(5 \, b x^{2} + 4 \, a\right)} \sqrt{x}}{8 \, {\left(a^{2} b x^{3} + a^{3} x\right)}}"," ",0,"1/8*(20*(a^2*b*x^3 + a^3*x)*(-b/a^9)^(1/4)*arctan(-1/125*(125*a^2*b*sqrt(x)*(-b/a^9)^(1/4) - sqrt(-15625*a^5*b*sqrt(-b/a^9) + 15625*b^2*x)*a^2*(-b/a^9)^(1/4))/b) - 5*(a^2*b*x^3 + a^3*x)*(-b/a^9)^(1/4)*log(125*a^7*(-b/a^9)^(3/4) + 125*b*sqrt(x)) + 5*(a^2*b*x^3 + a^3*x)*(-b/a^9)^(1/4)*log(-125*a^7*(-b/a^9)^(3/4) + 125*b*sqrt(x)) - 4*(5*b*x^2 + 4*a)*sqrt(x))/(a^2*b*x^3 + a^3*x)","A",0
302,1,228,0,0.525151," ","integrate(1/x^(5/2)/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{84 \, {\left(a^{2} b x^{4} + a^{3} x^{2}\right)} \left(-\frac{b^{3}}{a^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a^{8} b \sqrt{x} \left(-\frac{b^{3}}{a^{11}}\right)^{\frac{3}{4}} - \sqrt{a^{6} \sqrt{-\frac{b^{3}}{a^{11}}} + b^{2} x} a^{8} \left(-\frac{b^{3}}{a^{11}}\right)^{\frac{3}{4}}}{b^{3}}\right) + 21 \, {\left(a^{2} b x^{4} + a^{3} x^{2}\right)} \left(-\frac{b^{3}}{a^{11}}\right)^{\frac{1}{4}} \log\left(7 \, a^{3} \left(-\frac{b^{3}}{a^{11}}\right)^{\frac{1}{4}} + 7 \, b \sqrt{x}\right) - 21 \, {\left(a^{2} b x^{4} + a^{3} x^{2}\right)} \left(-\frac{b^{3}}{a^{11}}\right)^{\frac{1}{4}} \log\left(-7 \, a^{3} \left(-\frac{b^{3}}{a^{11}}\right)^{\frac{1}{4}} + 7 \, b \sqrt{x}\right) + 4 \, {\left(7 \, b x^{2} + 4 \, a\right)} \sqrt{x}}{24 \, {\left(a^{2} b x^{4} + a^{3} x^{2}\right)}}"," ",0,"-1/24*(84*(a^2*b*x^4 + a^3*x^2)*(-b^3/a^11)^(1/4)*arctan(-(a^8*b*sqrt(x)*(-b^3/a^11)^(3/4) - sqrt(a^6*sqrt(-b^3/a^11) + b^2*x)*a^8*(-b^3/a^11)^(3/4))/b^3) + 21*(a^2*b*x^4 + a^3*x^2)*(-b^3/a^11)^(1/4)*log(7*a^3*(-b^3/a^11)^(1/4) + 7*b*sqrt(x)) - 21*(a^2*b*x^4 + a^3*x^2)*(-b^3/a^11)^(1/4)*log(-7*a^3*(-b^3/a^11)^(1/4) + 7*b*sqrt(x)) + 4*(7*b*x^2 + 4*a)*sqrt(x))/(a^2*b*x^4 + a^3*x^2)","A",0
303,1,251,0,0.633546," ","integrate(1/x^(7/2)/(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{180 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)} \left(-\frac{b^{5}}{a^{13}}\right)^{\frac{1}{4}} \arctan\left(-\frac{729 \, a^{3} b^{4} \sqrt{x} \left(-\frac{b^{5}}{a^{13}}\right)^{\frac{1}{4}} - \sqrt{-531441 \, a^{7} b^{5} \sqrt{-\frac{b^{5}}{a^{13}}} + 531441 \, b^{8} x} a^{3} \left(-\frac{b^{5}}{a^{13}}\right)^{\frac{1}{4}}}{729 \, b^{5}}\right) - 45 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)} \left(-\frac{b^{5}}{a^{13}}\right)^{\frac{1}{4}} \log\left(729 \, a^{10} \left(-\frac{b^{5}}{a^{13}}\right)^{\frac{3}{4}} + 729 \, b^{4} \sqrt{x}\right) + 45 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)} \left(-\frac{b^{5}}{a^{13}}\right)^{\frac{1}{4}} \log\left(-729 \, a^{10} \left(-\frac{b^{5}}{a^{13}}\right)^{\frac{3}{4}} + 729 \, b^{4} \sqrt{x}\right) - 4 \, {\left(45 \, b^{2} x^{4} + 36 \, a b x^{2} - 4 \, a^{2}\right)} \sqrt{x}}{40 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)}}"," ",0,"-1/40*(180*(a^3*b*x^5 + a^4*x^3)*(-b^5/a^13)^(1/4)*arctan(-1/729*(729*a^3*b^4*sqrt(x)*(-b^5/a^13)^(1/4) - sqrt(-531441*a^7*b^5*sqrt(-b^5/a^13) + 531441*b^8*x)*a^3*(-b^5/a^13)^(1/4))/b^5) - 45*(a^3*b*x^5 + a^4*x^3)*(-b^5/a^13)^(1/4)*log(729*a^10*(-b^5/a^13)^(3/4) + 729*b^4*sqrt(x)) + 45*(a^3*b*x^5 + a^4*x^3)*(-b^5/a^13)^(1/4)*log(-729*a^10*(-b^5/a^13)^(3/4) + 729*b^4*sqrt(x)) - 4*(45*b^2*x^4 + 36*a*b*x^2 - 4*a^2)*sqrt(x))/(a^3*b*x^5 + a^4*x^3)","A",0
304,1,254,0,0.643219," ","integrate(x^(7/2)/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{20 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)} \left(-\frac{1}{a^{3} b^{9}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{2} b^{4} \sqrt{-\frac{1}{a^{3} b^{9}}} + x} a^{2} b^{7} \left(-\frac{1}{a^{3} b^{9}}\right)^{\frac{3}{4}} - a^{2} b^{7} \sqrt{x} \left(-\frac{1}{a^{3} b^{9}}\right)^{\frac{3}{4}}\right) + 5 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)} \left(-\frac{1}{a^{3} b^{9}}\right)^{\frac{1}{4}} \log\left(a b^{2} \left(-\frac{1}{a^{3} b^{9}}\right)^{\frac{1}{4}} + \sqrt{x}\right) - 5 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)} \left(-\frac{1}{a^{3} b^{9}}\right)^{\frac{1}{4}} \log\left(-a b^{2} \left(-\frac{1}{a^{3} b^{9}}\right)^{\frac{1}{4}} + \sqrt{x}\right) - 4 \, {\left(9 \, b x^{2} + 5 \, a\right)} \sqrt{x}}{64 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)}}"," ",0,"1/64*(20*(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2)*(-1/(a^3*b^9))^(1/4)*arctan(sqrt(a^2*b^4*sqrt(-1/(a^3*b^9)) + x)*a^2*b^7*(-1/(a^3*b^9))^(3/4) - a^2*b^7*sqrt(x)*(-1/(a^3*b^9))^(3/4)) + 5*(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2)*(-1/(a^3*b^9))^(1/4)*log(a*b^2*(-1/(a^3*b^9))^(1/4) + sqrt(x)) - 5*(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2)*(-1/(a^3*b^9))^(1/4)*log(-a*b^2*(-1/(a^3*b^9))^(1/4) + sqrt(x)) - 4*(9*b*x^2 + 5*a)*sqrt(x))/(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2)","A",0
305,1,260,0,0.682404," ","integrate(x^(5/2)/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{12 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)} \left(-\frac{1}{a^{5} b^{7}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-a^{3} b^{3} \sqrt{-\frac{1}{a^{5} b^{7}}} + x} a b^{2} \left(-\frac{1}{a^{5} b^{7}}\right)^{\frac{1}{4}} - a b^{2} \sqrt{x} \left(-\frac{1}{a^{5} b^{7}}\right)^{\frac{1}{4}}\right) - 3 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)} \left(-\frac{1}{a^{5} b^{7}}\right)^{\frac{1}{4}} \log\left(a^{4} b^{5} \left(-\frac{1}{a^{5} b^{7}}\right)^{\frac{3}{4}} + \sqrt{x}\right) + 3 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)} \left(-\frac{1}{a^{5} b^{7}}\right)^{\frac{1}{4}} \log\left(-a^{4} b^{5} \left(-\frac{1}{a^{5} b^{7}}\right)^{\frac{3}{4}} + \sqrt{x}\right) - 4 \, {\left(3 \, b x^{3} - a x\right)} \sqrt{x}}{64 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)}}"," ",0,"-1/64*(12*(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)*(-1/(a^5*b^7))^(1/4)*arctan(sqrt(-a^3*b^3*sqrt(-1/(a^5*b^7)) + x)*a*b^2*(-1/(a^5*b^7))^(1/4) - a*b^2*sqrt(x)*(-1/(a^5*b^7))^(1/4)) - 3*(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)*(-1/(a^5*b^7))^(1/4)*log(a^4*b^5*(-1/(a^5*b^7))^(3/4) + sqrt(x)) + 3*(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)*(-1/(a^5*b^7))^(1/4)*log(-a^4*b^5*(-1/(a^5*b^7))^(3/4) + sqrt(x)) - 4*(3*b*x^3 - a*x)*sqrt(x))/(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)","A",0
306,1,257,0,0.770339," ","integrate(x^(3/2)/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{12 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)} \left(-\frac{1}{a^{7} b^{5}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{4} b^{2} \sqrt{-\frac{1}{a^{7} b^{5}}} + x} a^{5} b^{4} \left(-\frac{1}{a^{7} b^{5}}\right)^{\frac{3}{4}} - a^{5} b^{4} \sqrt{x} \left(-\frac{1}{a^{7} b^{5}}\right)^{\frac{3}{4}}\right) + 3 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)} \left(-\frac{1}{a^{7} b^{5}}\right)^{\frac{1}{4}} \log\left(a^{2} b \left(-\frac{1}{a^{7} b^{5}}\right)^{\frac{1}{4}} + \sqrt{x}\right) - 3 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)} \left(-\frac{1}{a^{7} b^{5}}\right)^{\frac{1}{4}} \log\left(-a^{2} b \left(-\frac{1}{a^{7} b^{5}}\right)^{\frac{1}{4}} + \sqrt{x}\right) + 4 \, {\left(b x^{2} - 3 \, a\right)} \sqrt{x}}{64 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)}}"," ",0,"1/64*(12*(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)*(-1/(a^7*b^5))^(1/4)*arctan(sqrt(a^4*b^2*sqrt(-1/(a^7*b^5)) + x)*a^5*b^4*(-1/(a^7*b^5))^(3/4) - a^5*b^4*sqrt(x)*(-1/(a^7*b^5))^(3/4)) + 3*(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)*(-1/(a^7*b^5))^(1/4)*log(a^2*b*(-1/(a^7*b^5))^(1/4) + sqrt(x)) - 3*(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)*(-1/(a^7*b^5))^(1/4)*log(-a^2*b*(-1/(a^7*b^5))^(1/4) + sqrt(x)) + 4*(b*x^2 - 3*a)*sqrt(x))/(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b)","A",0
307,1,250,0,0.637150," ","integrate(x^(1/2)/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{20 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \left(-\frac{1}{a^{9} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-a^{5} b \sqrt{-\frac{1}{a^{9} b^{3}}} + x} a^{2} b \left(-\frac{1}{a^{9} b^{3}}\right)^{\frac{1}{4}} - a^{2} b \sqrt{x} \left(-\frac{1}{a^{9} b^{3}}\right)^{\frac{1}{4}}\right) - 5 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \left(-\frac{1}{a^{9} b^{3}}\right)^{\frac{1}{4}} \log\left(a^{7} b^{2} \left(-\frac{1}{a^{9} b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right) + 5 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \left(-\frac{1}{a^{9} b^{3}}\right)^{\frac{1}{4}} \log\left(-a^{7} b^{2} \left(-\frac{1}{a^{9} b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right) - 4 \, {\left(5 \, b x^{3} + 9 \, a x\right)} \sqrt{x}}{64 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)}}"," ",0,"-1/64*(20*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*(-1/(a^9*b^3))^(1/4)*arctan(sqrt(-a^5*b*sqrt(-1/(a^9*b^3)) + x)*a^2*b*(-1/(a^9*b^3))^(1/4) - a^2*b*sqrt(x)*(-1/(a^9*b^3))^(1/4)) - 5*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*(-1/(a^9*b^3))^(1/4)*log(a^7*b^2*(-1/(a^9*b^3))^(3/4) + sqrt(x)) + 5*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*(-1/(a^9*b^3))^(1/4)*log(-a^7*b^2*(-1/(a^9*b^3))^(3/4) + sqrt(x)) - 4*(5*b*x^3 + 9*a*x)*sqrt(x))/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)","A",0
308,1,241,0,0.544334," ","integrate(1/(b*x^2+a)^3/x^(1/2),x, algorithm=""fricas"")","\frac{84 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \left(-\frac{1}{a^{11} b}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{6} \sqrt{-\frac{1}{a^{11} b}} + x} a^{8} b \left(-\frac{1}{a^{11} b}\right)^{\frac{3}{4}} - a^{8} b \sqrt{x} \left(-\frac{1}{a^{11} b}\right)^{\frac{3}{4}}\right) + 21 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \left(-\frac{1}{a^{11} b}\right)^{\frac{1}{4}} \log\left(a^{3} \left(-\frac{1}{a^{11} b}\right)^{\frac{1}{4}} + \sqrt{x}\right) - 21 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)} \left(-\frac{1}{a^{11} b}\right)^{\frac{1}{4}} \log\left(-a^{3} \left(-\frac{1}{a^{11} b}\right)^{\frac{1}{4}} + \sqrt{x}\right) + 4 \, {\left(7 \, b x^{2} + 11 \, a\right)} \sqrt{x}}{64 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)}}"," ",0,"1/64*(84*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*(-1/(a^11*b))^(1/4)*arctan(sqrt(a^6*sqrt(-1/(a^11*b)) + x)*a^8*b*(-1/(a^11*b))^(3/4) - a^8*b*sqrt(x)*(-1/(a^11*b))^(3/4)) + 21*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*(-1/(a^11*b))^(1/4)*log(a^3*(-1/(a^11*b))^(1/4) + sqrt(x)) - 21*(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)*(-1/(a^11*b))^(1/4)*log(-a^3*(-1/(a^11*b))^(1/4) + sqrt(x)) + 4*(7*b*x^2 + 11*a)*sqrt(x))/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)","A",0
309,1,263,0,0.459919," ","integrate(1/x^(3/2)/(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{180 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)} \left(-\frac{b}{a^{13}}\right)^{\frac{1}{4}} \arctan\left(-\frac{91125 \, a^{3} b \sqrt{x} \left(-\frac{b}{a^{13}}\right)^{\frac{1}{4}} - \sqrt{-8303765625 \, a^{7} b \sqrt{-\frac{b}{a^{13}}} + 8303765625 \, b^{2} x} a^{3} \left(-\frac{b}{a^{13}}\right)^{\frac{1}{4}}}{91125 \, b}\right) - 45 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)} \left(-\frac{b}{a^{13}}\right)^{\frac{1}{4}} \log\left(91125 \, a^{10} \left(-\frac{b}{a^{13}}\right)^{\frac{3}{4}} + 91125 \, b \sqrt{x}\right) + 45 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)} \left(-\frac{b}{a^{13}}\right)^{\frac{1}{4}} \log\left(-91125 \, a^{10} \left(-\frac{b}{a^{13}}\right)^{\frac{3}{4}} + 91125 \, b \sqrt{x}\right) - 4 \, {\left(45 \, b^{2} x^{4} + 81 \, a b x^{2} + 32 \, a^{2}\right)} \sqrt{x}}{64 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)}}"," ",0,"1/64*(180*(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x)*(-b/a^13)^(1/4)*arctan(-1/91125*(91125*a^3*b*sqrt(x)*(-b/a^13)^(1/4) - sqrt(-8303765625*a^7*b*sqrt(-b/a^13) + 8303765625*b^2*x)*a^3*(-b/a^13)^(1/4))/b) - 45*(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x)*(-b/a^13)^(1/4)*log(91125*a^10*(-b/a^13)^(3/4) + 91125*b*sqrt(x)) + 45*(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x)*(-b/a^13)^(1/4)*log(-91125*a^10*(-b/a^13)^(3/4) + 91125*b*sqrt(x)) - 4*(45*b^2*x^4 + 81*a*b*x^2 + 32*a^2)*sqrt(x))/(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x)","A",0
310,1,283,0,0.616280," ","integrate(1/x^(5/2)/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{924 \, {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{4} + a^{5} x^{2}\right)} \left(-\frac{b^{3}}{a^{15}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a^{11} b \sqrt{x} \left(-\frac{b^{3}}{a^{15}}\right)^{\frac{3}{4}} - \sqrt{a^{8} \sqrt{-\frac{b^{3}}{a^{15}}} + b^{2} x} a^{11} \left(-\frac{b^{3}}{a^{15}}\right)^{\frac{3}{4}}}{b^{3}}\right) + 231 \, {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{4} + a^{5} x^{2}\right)} \left(-\frac{b^{3}}{a^{15}}\right)^{\frac{1}{4}} \log\left(77 \, a^{4} \left(-\frac{b^{3}}{a^{15}}\right)^{\frac{1}{4}} + 77 \, b \sqrt{x}\right) - 231 \, {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{4} + a^{5} x^{2}\right)} \left(-\frac{b^{3}}{a^{15}}\right)^{\frac{1}{4}} \log\left(-77 \, a^{4} \left(-\frac{b^{3}}{a^{15}}\right)^{\frac{1}{4}} + 77 \, b \sqrt{x}\right) + 4 \, {\left(77 \, b^{2} x^{4} + 121 \, a b x^{2} + 32 \, a^{2}\right)} \sqrt{x}}{192 \, {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{4} + a^{5} x^{2}\right)}}"," ",0,"-1/192*(924*(a^3*b^2*x^6 + 2*a^4*b*x^4 + a^5*x^2)*(-b^3/a^15)^(1/4)*arctan(-(a^11*b*sqrt(x)*(-b^3/a^15)^(3/4) - sqrt(a^8*sqrt(-b^3/a^15) + b^2*x)*a^11*(-b^3/a^15)^(3/4))/b^3) + 231*(a^3*b^2*x^6 + 2*a^4*b*x^4 + a^5*x^2)*(-b^3/a^15)^(1/4)*log(77*a^4*(-b^3/a^15)^(1/4) + 77*b*sqrt(x)) - 231*(a^3*b^2*x^6 + 2*a^4*b*x^4 + a^5*x^2)*(-b^3/a^15)^(1/4)*log(-77*a^4*(-b^3/a^15)^(1/4) + 77*b*sqrt(x)) + 4*(77*b^2*x^4 + 121*a*b*x^2 + 32*a^2)*sqrt(x))/(a^3*b^2*x^6 + 2*a^4*b*x^4 + a^5*x^2)","A",0
311,1,306,0,0.549537," ","integrate(1/x^(7/2)/(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{2340 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)} \left(-\frac{b^{5}}{a^{17}}\right)^{\frac{1}{4}} \arctan\left(-\frac{1601613 \, a^{4} b^{4} \sqrt{x} \left(-\frac{b^{5}}{a^{17}}\right)^{\frac{1}{4}} - \sqrt{-2565164201769 \, a^{9} b^{5} \sqrt{-\frac{b^{5}}{a^{17}}} + 2565164201769 \, b^{8} x} a^{4} \left(-\frac{b^{5}}{a^{17}}\right)^{\frac{1}{4}}}{1601613 \, b^{5}}\right) - 585 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)} \left(-\frac{b^{5}}{a^{17}}\right)^{\frac{1}{4}} \log\left(1601613 \, a^{13} \left(-\frac{b^{5}}{a^{17}}\right)^{\frac{3}{4}} + 1601613 \, b^{4} \sqrt{x}\right) + 585 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)} \left(-\frac{b^{5}}{a^{17}}\right)^{\frac{1}{4}} \log\left(-1601613 \, a^{13} \left(-\frac{b^{5}}{a^{17}}\right)^{\frac{3}{4}} + 1601613 \, b^{4} \sqrt{x}\right) - 4 \, {\left(585 \, b^{3} x^{6} + 1053 \, a b^{2} x^{4} + 416 \, a^{2} b x^{2} - 32 \, a^{3}\right)} \sqrt{x}}{320 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)}}"," ",0,"-1/320*(2340*(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3)*(-b^5/a^17)^(1/4)*arctan(-1/1601613*(1601613*a^4*b^4*sqrt(x)*(-b^5/a^17)^(1/4) - sqrt(-2565164201769*a^9*b^5*sqrt(-b^5/a^17) + 2565164201769*b^8*x)*a^4*(-b^5/a^17)^(1/4))/b^5) - 585*(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3)*(-b^5/a^17)^(1/4)*log(1601613*a^13*(-b^5/a^17)^(3/4) + 1601613*b^4*sqrt(x)) + 585*(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3)*(-b^5/a^17)^(1/4)*log(-1601613*a^13*(-b^5/a^17)^(3/4) + 1601613*b^4*sqrt(x)) - 4*(585*b^3*x^6 + 1053*a*b^2*x^4 + 416*a^2*b*x^2 - 32*a^3)*sqrt(x))/(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3)","A",0
312,1,117,0,0.652924," ","integrate(x^(1/2)/(-b*x^2+a),x, algorithm=""fricas"")","2 \, \left(\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a b \sqrt{\frac{1}{a b^{3}}} + x} b \left(\frac{1}{a b^{3}}\right)^{\frac{1}{4}} - b \sqrt{x} \left(\frac{1}{a b^{3}}\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \log\left(a b^{2} \left(\frac{1}{a b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right) - \frac{1}{2} \, \left(\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \log\left(-a b^{2} \left(\frac{1}{a b^{3}}\right)^{\frac{3}{4}} + \sqrt{x}\right)"," ",0,"2*(1/(a*b^3))^(1/4)*arctan(sqrt(a*b*sqrt(1/(a*b^3)) + x)*b*(1/(a*b^3))^(1/4) - b*sqrt(x)*(1/(a*b^3))^(1/4)) + 1/2*(1/(a*b^3))^(1/4)*log(a*b^2*(1/(a*b^3))^(3/4) + sqrt(x)) - 1/2*(1/(a*b^3))^(1/4)*log(-a*b^2*(1/(a*b^3))^(3/4) + sqrt(x))","B",0
313,1,117,0,0.623744," ","integrate(x^(7/2)/(x^2+1),x, algorithm=""fricas"")","\frac{2}{5} \, {\left(x^{2} - 5\right)} \sqrt{x} - \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) - \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - \frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right)"," ",0,"2/5*(x^2 - 5)*sqrt(x) - sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) - sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 1/4*sqrt(2)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 1/4*sqrt(2)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4)","A",0
314,1,110,0,0.544366," ","integrate(x^(5/2)/(x^2+1),x, algorithm=""fricas"")","\frac{2}{3} \, x^{\frac{3}{2}} + \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - \frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right)"," ",0,"2/3*x^(3/2) + sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 1/4*sqrt(2)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 1/4*sqrt(2)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4)","A",0
315,1,110,0,0.622920," ","integrate(x^(3/2)/(x^2+1),x, algorithm=""fricas"")","\sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + \frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 2 \, \sqrt{x}"," ",0,"sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 1/4*sqrt(2)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 1/4*sqrt(2)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) + 2*sqrt(x)","A",0
316,1,107,0,0.664355," ","integrate(x^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) - \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + \frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right)"," ",0,"-sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) - sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 1/4*sqrt(2)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 1/4*sqrt(2)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4)","A",0
317,1,107,0,0.535197," ","integrate(1/(x^2+1)/x^(1/2),x, algorithm=""fricas"")","-\sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) - \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - \frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right)"," ",0,"-sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) - sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 1/4*sqrt(2)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 1/4*sqrt(2)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4)","A",0
318,1,120,0,0.574335," ","integrate(1/x^(3/2)/(x^2+1),x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} x \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 4 \, \sqrt{2} x \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + \sqrt{2} x \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - \sqrt{2} x \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, \sqrt{x}}{4 \, x}"," ",0,"1/4*(4*sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 4*sqrt(2)*x*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + sqrt(2)*x*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*x*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*sqrt(x))/x","A",0
319,1,129,0,0.690631," ","integrate(1/x^(5/2)/(x^2+1),x, algorithm=""fricas"")","\frac{12 \, \sqrt{2} x^{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 12 \, \sqrt{2} x^{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 3 \, \sqrt{2} x^{2} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 3 \, \sqrt{2} x^{2} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, \sqrt{x}}{12 \, x^{2}}"," ",0,"1/12*(12*sqrt(2)*x^2*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 12*sqrt(2)*x^2*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 3*sqrt(2)*x^2*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 3*sqrt(2)*x^2*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*sqrt(x))/x^2","A",0
320,1,136,0,0.555074," ","integrate(1/x^(7/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{2} x^{3} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 20 \, \sqrt{2} x^{3} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 5 \, \sqrt{2} x^{3} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 5 \, \sqrt{2} x^{3} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(5 \, x^{2} - 1\right)} \sqrt{x}}{20 \, x^{3}}"," ",0,"-1/20*(20*sqrt(2)*x^3*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 20*sqrt(2)*x^3*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 5*sqrt(2)*x^3*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 5*sqrt(2)*x^3*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(5*x^2 - 1)*sqrt(x))/x^3","A",0
321,1,148,0,0.556927," ","integrate(x^(7/2)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{20 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 20 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 5 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 5 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 8 \, {\left(4 \, x^{2} + 5\right)} \sqrt{x}}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"1/16*(20*sqrt(2)*(x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 20*sqrt(2)*(x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 5*sqrt(2)*(x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 5*sqrt(2)*(x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) + 8*(4*x^2 + 5)*sqrt(x))/(x^2 + 1)","A",0
322,1,141,0,0.708323," ","integrate(x^(5/2)/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 12 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 3 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 3 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 8 \, x^{\frac{3}{2}}}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/16*(12*sqrt(2)*(x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 12*sqrt(2)*(x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 3*sqrt(2)*(x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 3*sqrt(2)*(x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) + 8*x^(3/2))/(x^2 + 1)","A",0
323,1,140,0,0.773417," ","integrate(x^(3/2)/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 4 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + \sqrt{2} {\left(x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 8 \, \sqrt{x}}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/16*(4*sqrt(2)*(x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 4*sqrt(2)*(x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - sqrt(2)*(x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + sqrt(2)*(x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) + 8*sqrt(x))/(x^2 + 1)","A",0
324,1,140,0,0.616105," ","integrate(x^(1/2)/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 4 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - \sqrt{2} {\left(x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, x^{\frac{3}{2}}}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/16*(4*sqrt(2)*(x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 4*sqrt(2)*(x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + sqrt(2)*(x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*(x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*x^(3/2))/(x^2 + 1)","A",0
325,1,141,0,0.549202," ","integrate(1/(x^2+1)^2/x^(1/2),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 12 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 3 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 3 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, \sqrt{x}}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/16*(12*sqrt(2)*(x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 12*sqrt(2)*(x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 3*sqrt(2)*(x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 3*sqrt(2)*(x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*sqrt(x))/(x^2 + 1)","A",0
326,1,148,0,0.744832," ","integrate(1/x^(3/2)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{20 \, \sqrt{2} {\left(x^{3} + x\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 20 \, \sqrt{2} {\left(x^{3} + x\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 5 \, \sqrt{2} {\left(x^{3} + x\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 5 \, \sqrt{2} {\left(x^{3} + x\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(5 \, x^{2} + 4\right)} \sqrt{x}}{16 \, {\left(x^{3} + x\right)}}"," ",0,"1/16*(20*sqrt(2)*(x^3 + x)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 20*sqrt(2)*(x^3 + x)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 5*sqrt(2)*(x^3 + x)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 5*sqrt(2)*(x^3 + x)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(5*x^2 + 4)*sqrt(x))/(x^3 + x)","A",0
327,1,158,0,0.630702," ","integrate(1/x^(5/2)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{84 \, \sqrt{2} {\left(x^{4} + x^{2}\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 84 \, \sqrt{2} {\left(x^{4} + x^{2}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 21 \, \sqrt{2} {\left(x^{4} + x^{2}\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 21 \, \sqrt{2} {\left(x^{4} + x^{2}\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(7 \, x^{2} + 4\right)} \sqrt{x}}{48 \, {\left(x^{4} + x^{2}\right)}}"," ",0,"1/48*(84*sqrt(2)*(x^4 + x^2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 84*sqrt(2)*(x^4 + x^2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 21*sqrt(2)*(x^4 + x^2)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 21*sqrt(2)*(x^4 + x^2)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(7*x^2 + 4)*sqrt(x))/(x^4 + x^2)","A",0
328,1,163,0,0.703377," ","integrate(1/x^(7/2)/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{180 \, \sqrt{2} {\left(x^{5} + x^{3}\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 180 \, \sqrt{2} {\left(x^{5} + x^{3}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 45 \, \sqrt{2} {\left(x^{5} + x^{3}\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 45 \, \sqrt{2} {\left(x^{5} + x^{3}\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(45 \, x^{4} + 36 \, x^{2} - 4\right)} \sqrt{x}}{80 \, {\left(x^{5} + x^{3}\right)}}"," ",0,"-1/80*(180*sqrt(2)*(x^5 + x^3)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 180*sqrt(2)*(x^5 + x^3)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 45*sqrt(2)*(x^5 + x^3)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 45*sqrt(2)*(x^5 + x^3)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(45*x^4 + 36*x^2 - 4)*sqrt(x))/(x^5 + x^3)","A",0
329,1,173,0,0.741548," ","integrate(x^(7/2)/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{20 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 20 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 5 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 5 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 8 \, {\left(9 \, x^{2} + 5\right)} \sqrt{x}}{128 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/128*(20*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 20*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 5*sqrt(2)*(x^4 + 2*x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 5*sqrt(2)*(x^4 + 2*x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) + 8*(9*x^2 + 5)*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
330,1,175,0,0.930650," ","integrate(x^(5/2)/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 12 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(3 \, x^{3} - x\right)} \sqrt{x}}{128 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/128*(12*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 12*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 3*sqrt(2)*(x^4 + 2*x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 3*sqrt(2)*(x^4 + 2*x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(3*x^3 - x)*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
331,1,171,0,0.536931," ","integrate(x^(3/2)/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 12 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(x^{2} - 3\right)} \sqrt{x}}{128 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/128*(12*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 12*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 3*sqrt(2)*(x^4 + 2*x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 3*sqrt(2)*(x^4 + 2*x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(x^2 - 3)*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
332,1,175,0,0.657650," ","integrate(x^(1/2)/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{20 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 20 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 5 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 5 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(5 \, x^{3} + 9 \, x\right)} \sqrt{x}}{128 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/128*(20*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 20*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 5*sqrt(2)*(x^4 + 2*x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 5*sqrt(2)*(x^4 + 2*x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(5*x^3 + 9*x)*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
333,1,173,0,0.986080," ","integrate(1/(x^2+1)^3/x^(1/2),x, algorithm=""fricas"")","-\frac{84 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 84 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 21 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 21 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(7 \, x^{2} + 11\right)} \sqrt{x}}{128 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/128*(84*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 84*sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 21*sqrt(2)*(x^4 + 2*x^2 + 1)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 21*sqrt(2)*(x^4 + 2*x^2 + 1)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(7*x^2 + 11)*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
334,1,178,0,0.744455," ","integrate(1/x^(3/2)/(x^2+1)^3,x, algorithm=""fricas"")","\frac{180 \, \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 180 \, \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 45 \, \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 45 \, \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(45 \, x^{4} + 81 \, x^{2} + 32\right)} \sqrt{x}}{128 \, {\left(x^{5} + 2 \, x^{3} + x\right)}}"," ",0,"1/128*(180*sqrt(2)*(x^5 + 2*x^3 + x)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 180*sqrt(2)*(x^5 + 2*x^3 + x)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 45*sqrt(2)*(x^5 + 2*x^3 + x)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 45*sqrt(2)*(x^5 + 2*x^3 + x)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(45*x^4 + 81*x^2 + 32)*sqrt(x))/(x^5 + 2*x^3 + x)","A",0
335,1,188,0,0.708084," ","integrate(1/x^(5/2)/(x^2+1)^3,x, algorithm=""fricas"")","\frac{924 \, \sqrt{2} {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 924 \, \sqrt{2} {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) - 231 \, \sqrt{2} {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) + 231 \, \sqrt{2} {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(77 \, x^{4} + 121 \, x^{2} + 32\right)} \sqrt{x}}{384 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)}}"," ",0,"1/384*(924*sqrt(2)*(x^6 + 2*x^4 + x^2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 924*sqrt(2)*(x^6 + 2*x^4 + x^2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) - 231*sqrt(2)*(x^6 + 2*x^4 + x^2)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) + 231*sqrt(2)*(x^6 + 2*x^4 + x^2)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(77*x^4 + 121*x^2 + 32)*sqrt(x))/(x^6 + 2*x^4 + x^2)","B",0
336,1,193,0,0.606570," ","integrate(1/x^(7/2)/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{2340 \, \sqrt{2} {\left(x^{7} + 2 \, x^{5} + x^{3}\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x} + x + 1} - \sqrt{2} \sqrt{x} - 1\right) + 2340 \, \sqrt{2} {\left(x^{7} + 2 \, x^{5} + x^{3}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4} - \sqrt{2} \sqrt{x} + 1\right) + 585 \, \sqrt{2} {\left(x^{7} + 2 \, x^{5} + x^{3}\right)} \log\left(4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 585 \, \sqrt{2} {\left(x^{7} + 2 \, x^{5} + x^{3}\right)} \log\left(-4 \, \sqrt{2} \sqrt{x} + 4 \, x + 4\right) - 8 \, {\left(585 \, x^{6} + 1053 \, x^{4} + 416 \, x^{2} - 32\right)} \sqrt{x}}{640 \, {\left(x^{7} + 2 \, x^{5} + x^{3}\right)}}"," ",0,"-1/640*(2340*sqrt(2)*(x^7 + 2*x^5 + x^3)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x) + x + 1) - sqrt(2)*sqrt(x) - 1) + 2340*sqrt(2)*(x^7 + 2*x^5 + x^3)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x) + 4*x + 4) - sqrt(2)*sqrt(x) + 1) + 585*sqrt(2)*(x^7 + 2*x^5 + x^3)*log(4*sqrt(2)*sqrt(x) + 4*x + 4) - 585*sqrt(2)*(x^7 + 2*x^5 + x^3)*log(-4*sqrt(2)*sqrt(x) + 4*x + 4) - 8*(585*x^6 + 1053*x^4 + 416*x^2 - 32)*sqrt(x))/(x^7 + 2*x^5 + x^3)","A",0
337,1,23,0,0.813616," ","integrate(x^(1/2)/(-x^2+1),x, algorithm=""fricas"")","-\arctan\left(\sqrt{x}\right) + \frac{1}{2} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x} - 1\right)"," ",0,"-arctan(sqrt(x)) + 1/2*log(sqrt(x) + 1) - 1/2*log(sqrt(x) - 1)","B",0
338,1,108,0,0.832795," ","integrate(x^(2/3)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{3} \log\left(16 \, \sqrt{3} x^{\frac{1}{3}} + 16 \, x^{\frac{2}{3}} + 16\right) + \frac{1}{4} \, \sqrt{3} \log\left(-16 \, \sqrt{3} x^{\frac{1}{3}} + 16 \, x^{\frac{2}{3}} + 16\right) - \arctan\left(\sqrt{3} + \frac{1}{2} \, \sqrt{-16 \, \sqrt{3} x^{\frac{1}{3}} + 16 \, x^{\frac{2}{3}} + 16} - 2 \, x^{\frac{1}{3}}\right) - \arctan\left(-\sqrt{3} + 2 \, \sqrt{\sqrt{3} x^{\frac{1}{3}} + x^{\frac{2}{3}} + 1} - 2 \, x^{\frac{1}{3}}\right) + \arctan\left(x^{\frac{1}{3}}\right)"," ",0,"-1/4*sqrt(3)*log(16*sqrt(3)*x^(1/3) + 16*x^(2/3) + 16) + 1/4*sqrt(3)*log(-16*sqrt(3)*x^(1/3) + 16*x^(2/3) + 16) - arctan(sqrt(3) + 1/2*sqrt(-16*sqrt(3)*x^(1/3) + 16*x^(2/3) + 16) - 2*x^(1/3)) - arctan(-sqrt(3) + 2*sqrt(sqrt(3)*x^(1/3) + x^(2/3) + 1) - 2*x^(1/3)) + arctan(x^(1/3))","B",0
339,1,367,0,0.840987," ","integrate(x^m*(b*x^2+a)^5,x, algorithm=""fricas"")","\frac{{\left({\left(b^{5} m^{5} + 25 \, b^{5} m^{4} + 230 \, b^{5} m^{3} + 950 \, b^{5} m^{2} + 1689 \, b^{5} m + 945 \, b^{5}\right)} x^{11} + 5 \, {\left(a b^{4} m^{5} + 27 \, a b^{4} m^{4} + 262 \, a b^{4} m^{3} + 1122 \, a b^{4} m^{2} + 2041 \, a b^{4} m + 1155 \, a b^{4}\right)} x^{9} + 10 \, {\left(a^{2} b^{3} m^{5} + 29 \, a^{2} b^{3} m^{4} + 302 \, a^{2} b^{3} m^{3} + 1366 \, a^{2} b^{3} m^{2} + 2577 \, a^{2} b^{3} m + 1485 \, a^{2} b^{3}\right)} x^{7} + 10 \, {\left(a^{3} b^{2} m^{5} + 31 \, a^{3} b^{2} m^{4} + 350 \, a^{3} b^{2} m^{3} + 1730 \, a^{3} b^{2} m^{2} + 3489 \, a^{3} b^{2} m + 2079 \, a^{3} b^{2}\right)} x^{5} + 5 \, {\left(a^{4} b m^{5} + 33 \, a^{4} b m^{4} + 406 \, a^{4} b m^{3} + 2262 \, a^{4} b m^{2} + 5353 \, a^{4} b m + 3465 \, a^{4} b\right)} x^{3} + {\left(a^{5} m^{5} + 35 \, a^{5} m^{4} + 470 \, a^{5} m^{3} + 3010 \, a^{5} m^{2} + 9129 \, a^{5} m + 10395 \, a^{5}\right)} x\right)} x^{m}}{m^{6} + 36 \, m^{5} + 505 \, m^{4} + 3480 \, m^{3} + 12139 \, m^{2} + 19524 \, m + 10395}"," ",0,"((b^5*m^5 + 25*b^5*m^4 + 230*b^5*m^3 + 950*b^5*m^2 + 1689*b^5*m + 945*b^5)*x^11 + 5*(a*b^4*m^5 + 27*a*b^4*m^4 + 262*a*b^4*m^3 + 1122*a*b^4*m^2 + 2041*a*b^4*m + 1155*a*b^4)*x^9 + 10*(a^2*b^3*m^5 + 29*a^2*b^3*m^4 + 302*a^2*b^3*m^3 + 1366*a^2*b^3*m^2 + 2577*a^2*b^3*m + 1485*a^2*b^3)*x^7 + 10*(a^3*b^2*m^5 + 31*a^3*b^2*m^4 + 350*a^3*b^2*m^3 + 1730*a^3*b^2*m^2 + 3489*a^3*b^2*m + 2079*a^3*b^2)*x^5 + 5*(a^4*b*m^5 + 33*a^4*b*m^4 + 406*a^4*b*m^3 + 2262*a^4*b*m^2 + 5353*a^4*b*m + 3465*a^4*b)*x^3 + (a^5*m^5 + 35*a^5*m^4 + 470*a^5*m^3 + 3010*a^5*m^2 + 9129*a^5*m + 10395*a^5)*x)*x^m/(m^6 + 36*m^5 + 505*m^4 + 3480*m^3 + 12139*m^2 + 19524*m + 10395)","B",0
340,1,251,0,0.688790," ","integrate(x^m*(b*x^2+a)^4,x, algorithm=""fricas"")","\frac{{\left({\left(b^{4} m^{4} + 16 \, b^{4} m^{3} + 86 \, b^{4} m^{2} + 176 \, b^{4} m + 105 \, b^{4}\right)} x^{9} + 4 \, {\left(a b^{3} m^{4} + 18 \, a b^{3} m^{3} + 104 \, a b^{3} m^{2} + 222 \, a b^{3} m + 135 \, a b^{3}\right)} x^{7} + 6 \, {\left(a^{2} b^{2} m^{4} + 20 \, a^{2} b^{2} m^{3} + 130 \, a^{2} b^{2} m^{2} + 300 \, a^{2} b^{2} m + 189 \, a^{2} b^{2}\right)} x^{5} + 4 \, {\left(a^{3} b m^{4} + 22 \, a^{3} b m^{3} + 164 \, a^{3} b m^{2} + 458 \, a^{3} b m + 315 \, a^{3} b\right)} x^{3} + {\left(a^{4} m^{4} + 24 \, a^{4} m^{3} + 206 \, a^{4} m^{2} + 744 \, a^{4} m + 945 \, a^{4}\right)} x\right)} x^{m}}{m^{5} + 25 \, m^{4} + 230 \, m^{3} + 950 \, m^{2} + 1689 \, m + 945}"," ",0,"((b^4*m^4 + 16*b^4*m^3 + 86*b^4*m^2 + 176*b^4*m + 105*b^4)*x^9 + 4*(a*b^3*m^4 + 18*a*b^3*m^3 + 104*a*b^3*m^2 + 222*a*b^3*m + 135*a*b^3)*x^7 + 6*(a^2*b^2*m^4 + 20*a^2*b^2*m^3 + 130*a^2*b^2*m^2 + 300*a^2*b^2*m + 189*a^2*b^2)*x^5 + 4*(a^3*b*m^4 + 22*a^3*b*m^3 + 164*a^3*b*m^2 + 458*a^3*b*m + 315*a^3*b)*x^3 + (a^4*m^4 + 24*a^4*m^3 + 206*a^4*m^2 + 744*a^4*m + 945*a^4)*x)*x^m/(m^5 + 25*m^4 + 230*m^3 + 950*m^2 + 1689*m + 945)","B",0
341,1,157,0,0.907212," ","integrate(x^m*(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{{\left({\left(b^{3} m^{3} + 9 \, b^{3} m^{2} + 23 \, b^{3} m + 15 \, b^{3}\right)} x^{7} + 3 \, {\left(a b^{2} m^{3} + 11 \, a b^{2} m^{2} + 31 \, a b^{2} m + 21 \, a b^{2}\right)} x^{5} + 3 \, {\left(a^{2} b m^{3} + 13 \, a^{2} b m^{2} + 47 \, a^{2} b m + 35 \, a^{2} b\right)} x^{3} + {\left(a^{3} m^{3} + 15 \, a^{3} m^{2} + 71 \, a^{3} m + 105 \, a^{3}\right)} x\right)} x^{m}}{m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105}"," ",0,"((b^3*m^3 + 9*b^3*m^2 + 23*b^3*m + 15*b^3)*x^7 + 3*(a*b^2*m^3 + 11*a*b^2*m^2 + 31*a*b^2*m + 21*a*b^2)*x^5 + 3*(a^2*b*m^3 + 13*a^2*b*m^2 + 47*a^2*b*m + 35*a^2*b)*x^3 + (a^3*m^3 + 15*a^3*m^2 + 71*a^3*m + 105*a^3)*x)*x^m/(m^4 + 16*m^3 + 86*m^2 + 176*m + 105)","B",0
342,1,85,0,0.926626," ","integrate(x^m*(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} m^{2} + 4 \, b^{2} m + 3 \, b^{2}\right)} x^{5} + 2 \, {\left(a b m^{2} + 6 \, a b m + 5 \, a b\right)} x^{3} + {\left(a^{2} m^{2} + 8 \, a^{2} m + 15 \, a^{2}\right)} x\right)} x^{m}}{m^{3} + 9 \, m^{2} + 23 \, m + 15}"," ",0,"((b^2*m^2 + 4*b^2*m + 3*b^2)*x^5 + 2*(a*b*m^2 + 6*a*b*m + 5*a*b)*x^3 + (a^2*m^2 + 8*a^2*m + 15*a^2)*x)*x^m/(m^3 + 9*m^2 + 23*m + 15)","A",0
343,1,33,0,0.866130," ","integrate(x^m*(b*x^2+a),x, algorithm=""fricas"")","\frac{{\left({\left(b m + b\right)} x^{3} + {\left(a m + 3 \, a\right)} x\right)} x^{m}}{m^{2} + 4 \, m + 3}"," ",0,"((b*m + b)*x^3 + (a*m + 3*a)*x)*x^m/(m^2 + 4*m + 3)","A",0
344,0,0,0,1.004121," ","integrate(x^m/(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{b x^{2} + a}, x\right)"," ",0,"integral(x^m/(b*x^2 + a), x)","F",0
345,0,0,0,0.810133," ","integrate(x^m/(b*x^2+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(x^m/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
346,0,0,0,0.971812," ","integrate(x^m/(b*x^2+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral(x^m/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
347,0,0,0,0.912026," ","integrate((c*x)^(1+m)/(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{m + 1}}{b x^{2} + a}, x\right)"," ",0,"integral((c*x)^(m + 1)/(b*x^2 + a), x)","F",0
348,0,0,0,0.957227," ","integrate((c*x)^m/(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{m}}{b x^{2} + a}, x\right)"," ",0,"integral((c*x)^m/(b*x^2 + a), x)","F",0
349,0,0,0,0.809291," ","integrate((c*x)^(-1+m)/(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{m - 1}}{b x^{2} + a}, x\right)"," ",0,"integral((c*x)^(m - 1)/(b*x^2 + a), x)","F",0
350,0,0,0,0.947729," ","integrate((c*x)^(-2+m)/(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{m - 2}}{b x^{2} + a}, x\right)"," ",0,"integral((c*x)^(m - 2)/(b*x^2 + a), x)","F",0
351,0,0,0,0.953034," ","integrate((c*x)^(-3+m)/(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{m - 3}}{b x^{2} + a}, x\right)"," ",0,"integral((c*x)^(m - 3)/(b*x^2 + a), x)","F",0
352,0,0,0,0.929927," ","integrate(x^m/(1+a*x^2/b)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{m}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}, x\right)"," ",0,"integral(b^2*x^m/(a^2*x^4 + 2*a*b*x^2 + b^2), x)","F",0
353,1,57,0,1.013537," ","integrate(x^7*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{{\left(35 \, b^{4} x^{8} + 5 \, a b^{3} x^{6} - 6 \, a^{2} b^{2} x^{4} + 8 \, a^{3} b x^{2} - 16 \, a^{4}\right)} \sqrt{b x^{2} + a}}{315 \, b^{4}}"," ",0,"1/315*(35*b^4*x^8 + 5*a*b^3*x^6 - 6*a^2*b^2*x^4 + 8*a^3*b*x^2 - 16*a^4)*sqrt(b*x^2 + a)/b^4","A",0
354,1,46,0,1.345935," ","integrate(x^5*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{{\left(15 \, b^{3} x^{6} + 3 \, a b^{2} x^{4} - 4 \, a^{2} b x^{2} + 8 \, a^{3}\right)} \sqrt{b x^{2} + a}}{105 \, b^{3}}"," ",0,"1/105*(15*b^3*x^6 + 3*a*b^2*x^4 - 4*a^2*b*x^2 + 8*a^3)*sqrt(b*x^2 + a)/b^3","A",0
355,1,34,0,1.190448," ","integrate(x^3*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{2} x^{4} + a b x^{2} - 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{15 \, b^{2}}"," ",0,"1/15*(3*b^2*x^4 + a*b*x^2 - 2*a^2)*sqrt(b*x^2 + a)/b^2","A",0
356,1,14,0,0.960995," ","integrate(x*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"1/3*(b*x^2 + a)^(3/2)/b","A",0
357,1,77,0,0.989956," ","integrate((b*x^2+a)^(1/2)/x,x, algorithm=""fricas"")","\left[\frac{1}{2} \, \sqrt{a} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + \sqrt{b x^{2} + a}, \sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + \sqrt{b x^{2} + a}\right]"," ",0,"[1/2*sqrt(a)*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + sqrt(b*x^2 + a), sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + sqrt(b*x^2 + a)]","A",0
358,1,106,0,1.701574," ","integrate((b*x^2+a)^(1/2)/x^3,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x^{2} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, \sqrt{b x^{2} + a} a}{4 \, a x^{2}}, \frac{\sqrt{-a} b x^{2} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) - \sqrt{b x^{2} + a} a}{2 \, a x^{2}}\right]"," ",0,"[1/4*(sqrt(a)*b*x^2*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*sqrt(b*x^2 + a)*a)/(a*x^2), 1/2*(sqrt(-a)*b*x^2*arctan(sqrt(-a)/sqrt(b*x^2 + a)) - sqrt(b*x^2 + a)*a)/(a*x^2)]","A",0
359,1,131,0,0.635276," ","integrate((b*x^2+a)^(1/2)/x^5,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b^{2} x^{4} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(a b x^{2} + 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{16 \, a^{2} x^{4}}, -\frac{\sqrt{-a} b^{2} x^{4} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(a b x^{2} + 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{8 \, a^{2} x^{4}}\right]"," ",0,"[1/16*(sqrt(a)*b^2*x^4*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(a*b*x^2 + 2*a^2)*sqrt(b*x^2 + a))/(a^2*x^4), -1/8*(sqrt(-a)*b^2*x^4*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (a*b*x^2 + 2*a^2)*sqrt(b*x^2 + a))/(a^2*x^4)]","A",0
360,1,157,0,1.516476," ","integrate((b*x^2+a)^(1/2)/x^7,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{3} x^{6} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(3 \, a b^{2} x^{4} - 2 \, a^{2} b x^{2} - 8 \, a^{3}\right)} \sqrt{b x^{2} + a}}{96 \, a^{3} x^{6}}, \frac{3 \, \sqrt{-a} b^{3} x^{6} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(3 \, a b^{2} x^{4} - 2 \, a^{2} b x^{2} - 8 \, a^{3}\right)} \sqrt{b x^{2} + a}}{48 \, a^{3} x^{6}}\right]"," ",0,"[1/96*(3*sqrt(a)*b^3*x^6*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(3*a*b^2*x^4 - 2*a^2*b*x^2 - 8*a^3)*sqrt(b*x^2 + a))/(a^3*x^6), 1/48*(3*sqrt(-a)*b^3*x^6*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (3*a*b^2*x^4 - 2*a^2*b*x^2 - 8*a^3)*sqrt(b*x^2 + a))/(a^3*x^6)]","A",0
361,1,146,0,1.095727," ","integrate(x^4*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{3} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(8 \, b^{3} x^{5} + 2 \, a b^{2} x^{3} - 3 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{96 \, b^{3}}, -\frac{3 \, a^{3} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(8 \, b^{3} x^{5} + 2 \, a b^{2} x^{3} - 3 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{48 \, b^{3}}\right]"," ",0,"[1/96*(3*a^3*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(8*b^3*x^5 + 2*a*b^2*x^3 - 3*a^2*b*x)*sqrt(b*x^2 + a))/b^3, -1/48*(3*a^3*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (8*b^3*x^5 + 2*a*b^2*x^3 - 3*a^2*b*x)*sqrt(b*x^2 + a))/b^3]","A",0
362,1,119,0,0.908207," ","integrate(x^2*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{a^{2} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(2 \, b^{2} x^{3} + a b x\right)} \sqrt{b x^{2} + a}}{16 \, b^{2}}, \frac{a^{2} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(2 \, b^{2} x^{3} + a b x\right)} \sqrt{b x^{2} + a}}{8 \, b^{2}}\right]"," ",0,"[1/16*(a^2*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(2*b^2*x^3 + a*b*x)*sqrt(b*x^2 + a))/b^2, 1/8*(a^2*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (2*b^2*x^3 + a*b*x)*sqrt(b*x^2 + a))/b^2]","A",0
363,1,94,0,0.730466," ","integrate((b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b x^{2} + a} b x + a \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right)}{4 \, b}, \frac{\sqrt{b x^{2} + a} b x - a \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right)}{2 \, b}\right]"," ",0,"[1/4*(2*sqrt(b*x^2 + a)*b*x + a*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a))/b, 1/2*(sqrt(b*x^2 + a)*b*x - a*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)))/b]","A",0
364,1,88,0,0.579523," ","integrate((b*x^2+a)^(1/2)/x^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{b} x \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) - 2 \, \sqrt{b x^{2} + a}}{2 \, x}, -\frac{\sqrt{-b} x \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + \sqrt{b x^{2} + a}}{x}\right]"," ",0,"[1/2*(sqrt(b)*x*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) - 2*sqrt(b*x^2 + a))/x, -(sqrt(-b)*x*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + sqrt(b*x^2 + a))/x]","A",0
365,1,17,0,0.888058," ","integrate((b*x^2+a)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{3 \, a x^{3}}"," ",0,"-1/3*(b*x^2 + a)^(3/2)/(a*x^3)","A",0
366,1,38,0,0.939650," ","integrate((b*x^2+a)^(1/2)/x^6,x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{4} - a b x^{2} - 3 \, a^{2}\right)} \sqrt{b x^{2} + a}}{15 \, a^{2} x^{5}}"," ",0,"1/15*(2*b^2*x^4 - a*b*x^2 - 3*a^2)*sqrt(b*x^2 + a)/(a^2*x^5)","A",0
367,1,49,0,1.121687," ","integrate((b*x^2+a)^(1/2)/x^8,x, algorithm=""fricas"")","-\frac{{\left(8 \, b^{3} x^{6} - 4 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + 15 \, a^{3}\right)} \sqrt{b x^{2} + a}}{105 \, a^{3} x^{7}}"," ",0,"-1/105*(8*b^3*x^6 - 4*a*b^2*x^4 + 3*a^2*b*x^2 + 15*a^3)*sqrt(b*x^2 + a)/(a^3*x^7)","A",0
368,1,60,0,0.974746," ","integrate((b*x^2+a)^(1/2)/x^10,x, algorithm=""fricas"")","\frac{{\left(16 \, b^{4} x^{8} - 8 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 5 \, a^{3} b x^{2} - 35 \, a^{4}\right)} \sqrt{b x^{2} + a}}{315 \, a^{4} x^{9}}"," ",0,"1/315*(16*b^4*x^8 - 8*a*b^3*x^6 + 6*a^2*b^2*x^4 - 5*a^3*b*x^2 - 35*a^4)*sqrt(b*x^2 + a)/(a^4*x^9)","A",0
369,1,68,0,1.040208," ","integrate(x^7*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{{\left(105 \, b^{5} x^{10} + 140 \, a b^{4} x^{8} + 5 \, a^{2} b^{3} x^{6} - 6 \, a^{3} b^{2} x^{4} + 8 \, a^{4} b x^{2} - 16 \, a^{5}\right)} \sqrt{b x^{2} + a}}{1155 \, b^{4}}"," ",0,"1/1155*(105*b^5*x^10 + 140*a*b^4*x^8 + 5*a^2*b^3*x^6 - 6*a^3*b^2*x^4 + 8*a^4*b*x^2 - 16*a^5)*sqrt(b*x^2 + a)/b^4","A",0
370,1,57,0,1.062588," ","integrate(x^5*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{{\left(35 \, b^{4} x^{8} + 50 \, a b^{3} x^{6} + 3 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + 8 \, a^{4}\right)} \sqrt{b x^{2} + a}}{315 \, b^{3}}"," ",0,"1/315*(35*b^4*x^8 + 50*a*b^3*x^6 + 3*a^2*b^2*x^4 - 4*a^3*b*x^2 + 8*a^4)*sqrt(b*x^2 + a)/b^3","A",0
371,1,45,0,0.863659," ","integrate(x^3*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{{\left(5 \, b^{3} x^{6} + 8 \, a b^{2} x^{4} + a^{2} b x^{2} - 2 \, a^{3}\right)} \sqrt{b x^{2} + a}}{35 \, b^{2}}"," ",0,"1/35*(5*b^3*x^6 + 8*a*b^2*x^4 + a^2*b*x^2 - 2*a^3)*sqrt(b*x^2 + a)/b^2","A",0
372,1,32,0,0.777329," ","integrate(x*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{b x^{2} + a}}{5 \, b}"," ",0,"1/5*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(b*x^2 + a)/b","B",0
373,1,100,0,0.742849," ","integrate((b*x^2+a)^(3/2)/x,x, algorithm=""fricas"")","\left[\frac{1}{2} \, a^{\frac{3}{2}} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + \frac{1}{3} \, {\left(b x^{2} + 4 \, a\right)} \sqrt{b x^{2} + a}, \sqrt{-a} a \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + \frac{1}{3} \, {\left(b x^{2} + 4 \, a\right)} \sqrt{b x^{2} + a}\right]"," ",0,"[1/2*a^(3/2)*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 1/3*(b*x^2 + 4*a)*sqrt(b*x^2 + a), sqrt(-a)*a*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + 1/3*(b*x^2 + 4*a)*sqrt(b*x^2 + a)]","A",0
374,1,119,0,0.618015," ","integrate((b*x^2+a)^(3/2)/x^3,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b x^{2} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(2 \, b x^{2} - a\right)} \sqrt{b x^{2} + a}}{4 \, x^{2}}, \frac{3 \, \sqrt{-a} b x^{2} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(2 \, b x^{2} - a\right)} \sqrt{b x^{2} + a}}{2 \, x^{2}}\right]"," ",0,"[1/4*(3*sqrt(a)*b*x^2*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(2*b*x^2 - a)*sqrt(b*x^2 + a))/x^2, 1/2*(3*sqrt(-a)*b*x^2*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (2*b*x^2 - a)*sqrt(b*x^2 + a))/x^2]","A",0
375,1,136,0,0.817097," ","integrate((b*x^2+a)^(3/2)/x^5,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} x^{4} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(5 \, a b x^{2} + 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{16 \, a x^{4}}, \frac{3 \, \sqrt{-a} b^{2} x^{4} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) - {\left(5 \, a b x^{2} + 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{8 \, a x^{4}}\right]"," ",0,"[1/16*(3*sqrt(a)*b^2*x^4*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(5*a*b*x^2 + 2*a^2)*sqrt(b*x^2 + a))/(a*x^4), 1/8*(3*sqrt(-a)*b^2*x^4*arctan(sqrt(-a)/sqrt(b*x^2 + a)) - (5*a*b*x^2 + 2*a^2)*sqrt(b*x^2 + a))/(a*x^4)]","A",0
376,1,157,0,0.714166," ","integrate((b*x^2+a)^(3/2)/x^7,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{3} x^{6} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(3 \, a b^{2} x^{4} + 14 \, a^{2} b x^{2} + 8 \, a^{3}\right)} \sqrt{b x^{2} + a}}{96 \, a^{2} x^{6}}, -\frac{3 \, \sqrt{-a} b^{3} x^{6} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(3 \, a b^{2} x^{4} + 14 \, a^{2} b x^{2} + 8 \, a^{3}\right)} \sqrt{b x^{2} + a}}{48 \, a^{2} x^{6}}\right]"," ",0,"[1/96*(3*sqrt(a)*b^3*x^6*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(3*a*b^2*x^4 + 14*a^2*b*x^2 + 8*a^3)*sqrt(b*x^2 + a))/(a^2*x^6), -1/48*(3*sqrt(-a)*b^3*x^6*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (3*a*b^2*x^4 + 14*a^2*b*x^2 + 8*a^3)*sqrt(b*x^2 + a))/(a^2*x^6)]","A",0
377,1,179,0,0.908877," ","integrate((b*x^2+a)^(3/2)/x^9,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{4} x^{8} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(3 \, a b^{3} x^{6} - 2 \, a^{2} b^{2} x^{4} - 24 \, a^{3} b x^{2} - 16 \, a^{4}\right)} \sqrt{b x^{2} + a}}{256 \, a^{3} x^{8}}, \frac{3 \, \sqrt{-a} b^{4} x^{8} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(3 \, a b^{3} x^{6} - 2 \, a^{2} b^{2} x^{4} - 24 \, a^{3} b x^{2} - 16 \, a^{4}\right)} \sqrt{b x^{2} + a}}{128 \, a^{3} x^{8}}\right]"," ",0,"[1/256*(3*sqrt(a)*b^4*x^8*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(3*a*b^3*x^6 - 2*a^2*b^2*x^4 - 24*a^3*b*x^2 - 16*a^4)*sqrt(b*x^2 + a))/(a^3*x^8), 1/128*(3*sqrt(-a)*b^4*x^8*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (3*a*b^3*x^6 - 2*a^2*b^2*x^4 - 24*a^3*b*x^2 - 16*a^4)*sqrt(b*x^2 + a))/(a^3*x^8)]","A",0
378,1,168,0,0.928521," ","integrate(x^4*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{4} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(16 \, b^{4} x^{7} + 24 \, a b^{3} x^{5} + 2 \, a^{2} b^{2} x^{3} - 3 \, a^{3} b x\right)} \sqrt{b x^{2} + a}}{256 \, b^{3}}, -\frac{3 \, a^{4} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(16 \, b^{4} x^{7} + 24 \, a b^{3} x^{5} + 2 \, a^{2} b^{2} x^{3} - 3 \, a^{3} b x\right)} \sqrt{b x^{2} + a}}{128 \, b^{3}}\right]"," ",0,"[1/256*(3*a^4*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(16*b^4*x^7 + 24*a*b^3*x^5 + 2*a^2*b^2*x^3 - 3*a^3*b*x)*sqrt(b*x^2 + a))/b^3, -1/128*(3*a^4*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (16*b^4*x^7 + 24*a*b^3*x^5 + 2*a^2*b^2*x^3 - 3*a^3*b*x)*sqrt(b*x^2 + a))/b^3]","A",0
379,1,145,0,0.569200," ","integrate(x^2*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{3} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(8 \, b^{3} x^{5} + 14 \, a b^{2} x^{3} + 3 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{96 \, b^{2}}, \frac{3 \, a^{3} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(8 \, b^{3} x^{5} + 14 \, a b^{2} x^{3} + 3 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{48 \, b^{2}}\right]"," ",0,"[1/96*(3*a^3*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(8*b^3*x^5 + 14*a*b^2*x^3 + 3*a^2*b*x)*sqrt(b*x^2 + a))/b^2, 1/48*(3*a^3*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (8*b^3*x^5 + 14*a*b^2*x^3 + 3*a^2*b*x)*sqrt(b*x^2 + a))/b^2]","A",0
380,1,124,0,0.858533," ","integrate((b*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(2 \, b^{2} x^{3} + 5 \, a b x\right)} \sqrt{b x^{2} + a}}{16 \, b}, -\frac{3 \, a^{2} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(2 \, b^{2} x^{3} + 5 \, a b x\right)} \sqrt{b x^{2} + a}}{8 \, b}\right]"," ",0,"[1/16*(3*a^2*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(2*b^2*x^3 + 5*a*b*x)*sqrt(b*x^2 + a))/b, -1/8*(3*a^2*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (2*b^2*x^3 + 5*a*b*x)*sqrt(b*x^2 + a))/b]","A",0
381,1,112,0,0.917233," ","integrate((b*x^2+a)^(3/2)/x^2,x, algorithm=""fricas"")","\left[\frac{3 \, a \sqrt{b} x \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, \sqrt{b x^{2} + a} {\left(b x^{2} - 2 \, a\right)}}{4 \, x}, -\frac{3 \, a \sqrt{-b} x \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - \sqrt{b x^{2} + a} {\left(b x^{2} - 2 \, a\right)}}{2 \, x}\right]"," ",0,"[1/4*(3*a*sqrt(b)*x*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*sqrt(b*x^2 + a)*(b*x^2 - 2*a))/x, -1/2*(3*a*sqrt(-b)*x*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - sqrt(b*x^2 + a)*(b*x^2 - 2*a))/x]","A",0
382,1,112,0,0.948827," ","integrate((b*x^2+a)^(3/2)/x^4,x, algorithm=""fricas"")","\left[\frac{3 \, b^{\frac{3}{2}} x^{3} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) - 2 \, {\left(4 \, b x^{2} + a\right)} \sqrt{b x^{2} + a}}{6 \, x^{3}}, -\frac{3 \, \sqrt{-b} b x^{3} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(4 \, b x^{2} + a\right)} \sqrt{b x^{2} + a}}{3 \, x^{3}}\right]"," ",0,"[1/6*(3*b^(3/2)*x^3*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) - 2*(4*b*x^2 + a)*sqrt(b*x^2 + a))/x^3, -1/3*(3*sqrt(-b)*b*x^3*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (4*b*x^2 + a)*sqrt(b*x^2 + a))/x^3]","A",0
383,1,35,0,0.815888," ","integrate((b*x^2+a)^(3/2)/x^6,x, algorithm=""fricas"")","-\frac{{\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{b x^{2} + a}}{5 \, a x^{5}}"," ",0,"-1/5*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(b*x^2 + a)/(a*x^5)","B",0
384,1,49,0,0.839573," ","integrate((b*x^2+a)^(3/2)/x^8,x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{6} - a b^{2} x^{4} - 8 \, a^{2} b x^{2} - 5 \, a^{3}\right)} \sqrt{b x^{2} + a}}{35 \, a^{2} x^{7}}"," ",0,"1/35*(2*b^3*x^6 - a*b^2*x^4 - 8*a^2*b*x^2 - 5*a^3)*sqrt(b*x^2 + a)/(a^2*x^7)","A",0
385,1,60,0,0.718204," ","integrate((b*x^2+a)^(3/2)/x^10,x, algorithm=""fricas"")","-\frac{{\left(8 \, b^{4} x^{8} - 4 \, a b^{3} x^{6} + 3 \, a^{2} b^{2} x^{4} + 50 \, a^{3} b x^{2} + 35 \, a^{4}\right)} \sqrt{b x^{2} + a}}{315 \, a^{3} x^{9}}"," ",0,"-1/315*(8*b^4*x^8 - 4*a*b^3*x^6 + 3*a^2*b^2*x^4 + 50*a^3*b*x^2 + 35*a^4)*sqrt(b*x^2 + a)/(a^3*x^9)","A",0
386,1,71,0,0.857994," ","integrate((b*x^2+a)^(3/2)/x^12,x, algorithm=""fricas"")","\frac{{\left(16 \, b^{5} x^{10} - 8 \, a b^{4} x^{8} + 6 \, a^{2} b^{3} x^{6} - 5 \, a^{3} b^{2} x^{4} - 140 \, a^{4} b x^{2} - 105 \, a^{5}\right)} \sqrt{b x^{2} + a}}{1155 \, a^{4} x^{11}}"," ",0,"1/1155*(16*b^5*x^10 - 8*a*b^4*x^8 + 6*a^2*b^3*x^6 - 5*a^3*b^2*x^4 - 140*a^4*b*x^2 - 105*a^5)*sqrt(b*x^2 + a)/(a^4*x^11)","A",0
387,1,79,0,0.813391," ","integrate(x^7*(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(231 \, b^{6} x^{12} + 567 \, a b^{5} x^{10} + 371 \, a^{2} b^{4} x^{8} + 5 \, a^{3} b^{3} x^{6} - 6 \, a^{4} b^{2} x^{4} + 8 \, a^{5} b x^{2} - 16 \, a^{6}\right)} \sqrt{b x^{2} + a}}{3003 \, b^{4}}"," ",0,"1/3003*(231*b^6*x^12 + 567*a*b^5*x^10 + 371*a^2*b^4*x^8 + 5*a^3*b^3*x^6 - 6*a^4*b^2*x^4 + 8*a^5*b*x^2 - 16*a^6)*sqrt(b*x^2 + a)/b^4","A",0
388,1,68,0,0.840929," ","integrate(x^5*(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(63 \, b^{5} x^{10} + 161 \, a b^{4} x^{8} + 113 \, a^{2} b^{3} x^{6} + 3 \, a^{3} b^{2} x^{4} - 4 \, a^{4} b x^{2} + 8 \, a^{5}\right)} \sqrt{b x^{2} + a}}{693 \, b^{3}}"," ",0,"1/693*(63*b^5*x^10 + 161*a*b^4*x^8 + 113*a^2*b^3*x^6 + 3*a^3*b^2*x^4 - 4*a^4*b*x^2 + 8*a^5)*sqrt(b*x^2 + a)/b^3","A",0
389,1,56,0,0.911406," ","integrate(x^3*(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(7 \, b^{4} x^{8} + 19 \, a b^{3} x^{6} + 15 \, a^{2} b^{2} x^{4} + a^{3} b x^{2} - 2 \, a^{4}\right)} \sqrt{b x^{2} + a}}{63 \, b^{2}}"," ",0,"1/63*(7*b^4*x^8 + 19*a*b^3*x^6 + 15*a^2*b^2*x^4 + a^3*b*x^2 - 2*a^4)*sqrt(b*x^2 + a)/b^2","A",0
390,1,43,0,0.963990," ","integrate(x*(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}\right)} \sqrt{b x^{2} + a}}{7 \, b}"," ",0,"1/7*(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3)*sqrt(b*x^2 + a)/b","B",0
391,1,126,0,0.955656," ","integrate((b*x^2+a)^(5/2)/x,x, algorithm=""fricas"")","\left[\frac{1}{2} \, a^{\frac{5}{2}} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + \frac{1}{15} \, {\left(3 \, b^{2} x^{4} + 11 \, a b x^{2} + 23 \, a^{2}\right)} \sqrt{b x^{2} + a}, \sqrt{-a} a^{2} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + \frac{1}{15} \, {\left(3 \, b^{2} x^{4} + 11 \, a b x^{2} + 23 \, a^{2}\right)} \sqrt{b x^{2} + a}\right]"," ",0,"[1/2*a^(5/2)*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 1/15*(3*b^2*x^4 + 11*a*b*x^2 + 23*a^2)*sqrt(b*x^2 + a), sqrt(-a)*a^2*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + 1/15*(3*b^2*x^4 + 11*a*b*x^2 + 23*a^2)*sqrt(b*x^2 + a)]","A",0
392,1,142,0,0.697973," ","integrate((b*x^2+a)^(5/2)/x^3,x, algorithm=""fricas"")","\left[\frac{15 \, a^{\frac{3}{2}} b x^{2} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(2 \, b^{2} x^{4} + 14 \, a b x^{2} - 3 \, a^{2}\right)} \sqrt{b x^{2} + a}}{12 \, x^{2}}, \frac{15 \, \sqrt{-a} a b x^{2} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(2 \, b^{2} x^{4} + 14 \, a b x^{2} - 3 \, a^{2}\right)} \sqrt{b x^{2} + a}}{6 \, x^{2}}\right]"," ",0,"[1/12*(15*a^(3/2)*b*x^2*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(2*b^2*x^4 + 14*a*b*x^2 - 3*a^2)*sqrt(b*x^2 + a))/x^2, 1/6*(15*sqrt(-a)*a*b*x^2*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (2*b^2*x^4 + 14*a*b*x^2 - 3*a^2)*sqrt(b*x^2 + a))/x^2]","A",0
393,1,145,0,0.906977," ","integrate((b*x^2+a)^(5/2)/x^5,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{2} x^{4} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(8 \, b^{2} x^{4} - 9 \, a b x^{2} - 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{16 \, x^{4}}, \frac{15 \, \sqrt{-a} b^{2} x^{4} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(8 \, b^{2} x^{4} - 9 \, a b x^{2} - 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{8 \, x^{4}}\right]"," ",0,"[1/16*(15*sqrt(a)*b^2*x^4*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(8*b^2*x^4 - 9*a*b*x^2 - 2*a^2)*sqrt(b*x^2 + a))/x^4, 1/8*(15*sqrt(-a)*b^2*x^4*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (8*b^2*x^4 - 9*a*b*x^2 - 2*a^2)*sqrt(b*x^2 + a))/x^4]","A",0
394,1,158,0,0.992181," ","integrate((b*x^2+a)^(5/2)/x^7,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{3} x^{6} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(33 \, a b^{2} x^{4} + 26 \, a^{2} b x^{2} + 8 \, a^{3}\right)} \sqrt{b x^{2} + a}}{96 \, a x^{6}}, \frac{15 \, \sqrt{-a} b^{3} x^{6} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) - {\left(33 \, a b^{2} x^{4} + 26 \, a^{2} b x^{2} + 8 \, a^{3}\right)} \sqrt{b x^{2} + a}}{48 \, a x^{6}}\right]"," ",0,"[1/96*(15*sqrt(a)*b^3*x^6*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(33*a*b^2*x^4 + 26*a^2*b*x^2 + 8*a^3)*sqrt(b*x^2 + a))/(a*x^6), 1/48*(15*sqrt(-a)*b^3*x^6*arctan(sqrt(-a)/sqrt(b*x^2 + a)) - (33*a*b^2*x^4 + 26*a^2*b*x^2 + 8*a^3)*sqrt(b*x^2 + a))/(a*x^6)]","A",0
395,1,179,0,0.979060," ","integrate((b*x^2+a)^(5/2)/x^9,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{4} x^{8} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(15 \, a b^{3} x^{6} + 118 \, a^{2} b^{2} x^{4} + 136 \, a^{3} b x^{2} + 48 \, a^{4}\right)} \sqrt{b x^{2} + a}}{768 \, a^{2} x^{8}}, -\frac{15 \, \sqrt{-a} b^{4} x^{8} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(15 \, a b^{3} x^{6} + 118 \, a^{2} b^{2} x^{4} + 136 \, a^{3} b x^{2} + 48 \, a^{4}\right)} \sqrt{b x^{2} + a}}{384 \, a^{2} x^{8}}\right]"," ",0,"[1/768*(15*sqrt(a)*b^4*x^8*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(15*a*b^3*x^6 + 118*a^2*b^2*x^4 + 136*a^3*b*x^2 + 48*a^4)*sqrt(b*x^2 + a))/(a^2*x^8), -1/384*(15*sqrt(-a)*b^4*x^8*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (15*a*b^3*x^6 + 118*a^2*b^2*x^4 + 136*a^3*b*x^2 + 48*a^4)*sqrt(b*x^2 + a))/(a^2*x^8)]","A",0
396,1,201,0,1.037436," ","integrate((b*x^2+a)^(5/2)/x^11,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{5} x^{10} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(15 \, a b^{4} x^{8} - 10 \, a^{2} b^{3} x^{6} - 248 \, a^{3} b^{2} x^{4} - 336 \, a^{4} b x^{2} - 128 \, a^{5}\right)} \sqrt{b x^{2} + a}}{2560 \, a^{3} x^{10}}, \frac{15 \, \sqrt{-a} b^{5} x^{10} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(15 \, a b^{4} x^{8} - 10 \, a^{2} b^{3} x^{6} - 248 \, a^{3} b^{2} x^{4} - 336 \, a^{4} b x^{2} - 128 \, a^{5}\right)} \sqrt{b x^{2} + a}}{1280 \, a^{3} x^{10}}\right]"," ",0,"[1/2560*(15*sqrt(a)*b^5*x^10*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(15*a*b^4*x^8 - 10*a^2*b^3*x^6 - 248*a^3*b^2*x^4 - 336*a^4*b*x^2 - 128*a^5)*sqrt(b*x^2 + a))/(a^3*x^10), 1/1280*(15*sqrt(-a)*b^5*x^10*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (15*a*b^4*x^8 - 10*a^2*b^3*x^6 - 248*a^3*b^2*x^4 - 336*a^4*b*x^2 - 128*a^5)*sqrt(b*x^2 + a))/(a^3*x^10)]","A",0
397,1,190,0,0.971280," ","integrate(x^4*(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{5} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(128 \, b^{5} x^{9} + 336 \, a b^{4} x^{7} + 248 \, a^{2} b^{3} x^{5} + 10 \, a^{3} b^{2} x^{3} - 15 \, a^{4} b x\right)} \sqrt{b x^{2} + a}}{2560 \, b^{3}}, -\frac{15 \, a^{5} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(128 \, b^{5} x^{9} + 336 \, a b^{4} x^{7} + 248 \, a^{2} b^{3} x^{5} + 10 \, a^{3} b^{2} x^{3} - 15 \, a^{4} b x\right)} \sqrt{b x^{2} + a}}{1280 \, b^{3}}\right]"," ",0,"[1/2560*(15*a^5*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(128*b^5*x^9 + 336*a*b^4*x^7 + 248*a^2*b^3*x^5 + 10*a^3*b^2*x^3 - 15*a^4*b*x)*sqrt(b*x^2 + a))/b^3, -1/1280*(15*a^5*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (128*b^5*x^9 + 336*a*b^4*x^7 + 248*a^2*b^3*x^5 + 10*a^3*b^2*x^3 - 15*a^4*b*x)*sqrt(b*x^2 + a))/b^3]","A",0
398,1,167,0,0.886291," ","integrate(x^2*(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{4} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(48 \, b^{4} x^{7} + 136 \, a b^{3} x^{5} + 118 \, a^{2} b^{2} x^{3} + 15 \, a^{3} b x\right)} \sqrt{b x^{2} + a}}{768 \, b^{2}}, \frac{15 \, a^{4} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(48 \, b^{4} x^{7} + 136 \, a b^{3} x^{5} + 118 \, a^{2} b^{2} x^{3} + 15 \, a^{3} b x\right)} \sqrt{b x^{2} + a}}{384 \, b^{2}}\right]"," ",0,"[1/768*(15*a^4*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(48*b^4*x^7 + 136*a*b^3*x^5 + 118*a^2*b^2*x^3 + 15*a^3*b*x)*sqrt(b*x^2 + a))/b^2, 1/384*(15*a^4*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (48*b^4*x^7 + 136*a*b^3*x^5 + 118*a^2*b^2*x^3 + 15*a^3*b*x)*sqrt(b*x^2 + a))/b^2]","A",0
399,1,146,0,1.015216," ","integrate((b*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{3} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(8 \, b^{3} x^{5} + 26 \, a b^{2} x^{3} + 33 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{96 \, b}, -\frac{15 \, a^{3} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(8 \, b^{3} x^{5} + 26 \, a b^{2} x^{3} + 33 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{48 \, b}\right]"," ",0,"[1/96*(15*a^3*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(8*b^3*x^5 + 26*a*b^2*x^3 + 33*a^2*b*x)*sqrt(b*x^2 + a))/b, -1/48*(15*a^3*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (8*b^3*x^5 + 26*a*b^2*x^3 + 33*a^2*b*x)*sqrt(b*x^2 + a))/b]","A",0
400,1,140,0,0.774502," ","integrate((b*x^2+a)^(5/2)/x^2,x, algorithm=""fricas"")","\left[\frac{15 \, a^{2} \sqrt{b} x \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(2 \, b^{2} x^{4} + 9 \, a b x^{2} - 8 \, a^{2}\right)} \sqrt{b x^{2} + a}}{16 \, x}, -\frac{15 \, a^{2} \sqrt{-b} x \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(2 \, b^{2} x^{4} + 9 \, a b x^{2} - 8 \, a^{2}\right)} \sqrt{b x^{2} + a}}{8 \, x}\right]"," ",0,"[1/16*(15*a^2*sqrt(b)*x*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(2*b^2*x^4 + 9*a*b*x^2 - 8*a^2)*sqrt(b*x^2 + a))/x, -1/8*(15*a^2*sqrt(-b)*x*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (2*b^2*x^4 + 9*a*b*x^2 - 8*a^2)*sqrt(b*x^2 + a))/x]","A",0
401,1,141,0,0.934625," ","integrate((b*x^2+a)^(5/2)/x^4,x, algorithm=""fricas"")","\left[\frac{15 \, a b^{\frac{3}{2}} x^{3} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(3 \, b^{2} x^{4} - 14 \, a b x^{2} - 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{12 \, x^{3}}, -\frac{15 \, a \sqrt{-b} b x^{3} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(3 \, b^{2} x^{4} - 14 \, a b x^{2} - 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{6 \, x^{3}}\right]"," ",0,"[1/12*(15*a*b^(3/2)*x^3*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(3*b^2*x^4 - 14*a*b*x^2 - 2*a^2)*sqrt(b*x^2 + a))/x^3, -1/6*(15*a*sqrt(-b)*b*x^3*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (3*b^2*x^4 - 14*a*b*x^2 - 2*a^2)*sqrt(b*x^2 + a))/x^3]","A",0
402,1,140,0,0.852893," ","integrate((b*x^2+a)^(5/2)/x^6,x, algorithm=""fricas"")","\left[\frac{15 \, b^{\frac{5}{2}} x^{5} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) - 2 \, {\left(23 \, b^{2} x^{4} + 11 \, a b x^{2} + 3 \, a^{2}\right)} \sqrt{b x^{2} + a}}{30 \, x^{5}}, -\frac{15 \, \sqrt{-b} b^{2} x^{5} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(23 \, b^{2} x^{4} + 11 \, a b x^{2} + 3 \, a^{2}\right)} \sqrt{b x^{2} + a}}{15 \, x^{5}}\right]"," ",0,"[1/30*(15*b^(5/2)*x^5*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) - 2*(23*b^2*x^4 + 11*a*b*x^2 + 3*a^2)*sqrt(b*x^2 + a))/x^5, -1/15*(15*sqrt(-b)*b^2*x^5*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (23*b^2*x^4 + 11*a*b*x^2 + 3*a^2)*sqrt(b*x^2 + a))/x^5]","A",0
403,1,46,0,0.563937," ","integrate((b*x^2+a)^(5/2)/x^8,x, algorithm=""fricas"")","-\frac{{\left(b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}\right)} \sqrt{b x^{2} + a}}{7 \, a x^{7}}"," ",0,"-1/7*(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3)*sqrt(b*x^2 + a)/(a*x^7)","B",0
404,1,60,0,0.959512," ","integrate((b*x^2+a)^(5/2)/x^10,x, algorithm=""fricas"")","\frac{{\left(2 \, b^{4} x^{8} - a b^{3} x^{6} - 15 \, a^{2} b^{2} x^{4} - 19 \, a^{3} b x^{2} - 7 \, a^{4}\right)} \sqrt{b x^{2} + a}}{63 \, a^{2} x^{9}}"," ",0,"1/63*(2*b^4*x^8 - a*b^3*x^6 - 15*a^2*b^2*x^4 - 19*a^3*b*x^2 - 7*a^4)*sqrt(b*x^2 + a)/(a^2*x^9)","A",0
405,1,71,0,0.661969," ","integrate((b*x^2+a)^(5/2)/x^12,x, algorithm=""fricas"")","-\frac{{\left(8 \, b^{5} x^{10} - 4 \, a b^{4} x^{8} + 3 \, a^{2} b^{3} x^{6} + 113 \, a^{3} b^{2} x^{4} + 161 \, a^{4} b x^{2} + 63 \, a^{5}\right)} \sqrt{b x^{2} + a}}{693 \, a^{3} x^{11}}"," ",0,"-1/693*(8*b^5*x^10 - 4*a*b^4*x^8 + 3*a^2*b^3*x^6 + 113*a^3*b^2*x^4 + 161*a^4*b*x^2 + 63*a^5)*sqrt(b*x^2 + a)/(a^3*x^11)","A",0
406,1,82,0,1.204898," ","integrate((b*x^2+a)^(5/2)/x^14,x, algorithm=""fricas"")","\frac{{\left(16 \, b^{6} x^{12} - 8 \, a b^{5} x^{10} + 6 \, a^{2} b^{4} x^{8} - 5 \, a^{3} b^{3} x^{6} - 371 \, a^{4} b^{2} x^{4} - 567 \, a^{5} b x^{2} - 231 \, a^{6}\right)} \sqrt{b x^{2} + a}}{3003 \, a^{4} x^{13}}"," ",0,"1/3003*(16*b^6*x^12 - 8*a*b^5*x^10 + 6*a^2*b^4*x^8 - 5*a^3*b^3*x^6 - 371*a^4*b^2*x^4 - 567*a^5*b*x^2 - 231*a^6)*sqrt(b*x^2 + a)/(a^4*x^13)","A",0
407,1,93,0,1.437850," ","integrate((b*x^2+a)^(5/2)/x^16,x, algorithm=""fricas"")","-\frac{{\left(128 \, b^{7} x^{14} - 64 \, a b^{6} x^{12} + 48 \, a^{2} b^{5} x^{10} - 40 \, a^{3} b^{4} x^{8} + 35 \, a^{4} b^{3} x^{6} + 4473 \, a^{5} b^{2} x^{4} + 7161 \, a^{6} b x^{2} + 3003 \, a^{7}\right)} \sqrt{b x^{2} + a}}{45045 \, a^{5} x^{15}}"," ",0,"-1/45045*(128*b^7*x^14 - 64*a*b^6*x^12 + 48*a^2*b^5*x^10 - 40*a^3*b^4*x^8 + 35*a^4*b^3*x^6 + 4473*a^5*b^2*x^4 + 7161*a^6*b*x^2 + 3003*a^7)*sqrt(b*x^2 + a)/(a^5*x^15)","A",0
408,1,104,0,1.470142," ","integrate((b*x^2+a)^(5/2)/x^18,x, algorithm=""fricas"")","\frac{{\left(256 \, b^{8} x^{16} - 128 \, a b^{7} x^{14} + 96 \, a^{2} b^{6} x^{12} - 80 \, a^{3} b^{5} x^{10} + 70 \, a^{4} b^{4} x^{8} - 63 \, a^{5} b^{3} x^{6} - 12705 \, a^{6} b^{2} x^{4} - 21021 \, a^{7} b x^{2} - 9009 \, a^{8}\right)} \sqrt{b x^{2} + a}}{153153 \, a^{6} x^{17}}"," ",0,"1/153153*(256*b^8*x^16 - 128*a*b^7*x^14 + 96*a^2*b^6*x^12 - 80*a^3*b^5*x^10 + 70*a^4*b^4*x^8 - 63*a^5*b^3*x^6 - 12705*a^6*b^2*x^4 - 21021*a^7*b*x^2 - 9009*a^8)*sqrt(b*x^2 + a)/(a^6*x^17)","A",0
409,1,145,0,1.044456," ","integrate(x^15*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(1062347 \, b^{12} x^{24} + 4665089 \, a b^{11} x^{22} + 7759752 \, a^{2} b^{10} x^{20} + 5810090 \, a^{3} b^{9} x^{18} + 1659515 \, a^{4} b^{8} x^{16} + 429 \, a^{5} b^{7} x^{14} - 462 \, a^{6} b^{6} x^{12} + 504 \, a^{7} b^{5} x^{10} - 560 \, a^{8} b^{4} x^{8} + 640 \, a^{9} b^{3} x^{6} - 768 \, a^{10} b^{2} x^{4} + 1024 \, a^{11} b x^{2} - 2048 \, a^{12}\right)} \sqrt{b x^{2} + a}}{26558675 \, b^{8}}"," ",0,"1/26558675*(1062347*b^12*x^24 + 4665089*a*b^11*x^22 + 7759752*a^2*b^10*x^20 + 5810090*a^3*b^9*x^18 + 1659515*a^4*b^8*x^16 + 429*a^5*b^7*x^14 - 462*a^6*b^6*x^12 + 504*a^7*b^5*x^10 - 560*a^8*b^4*x^8 + 640*a^9*b^3*x^6 - 768*a^10*b^2*x^4 + 1024*a^11*b*x^2 - 2048*a^12)*sqrt(b*x^2 + a)/b^8","A",0
410,1,134,0,1.283533," ","integrate(x^13*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(323323 \, b^{11} x^{22} + 1431859 \, a b^{10} x^{20} + 2406690 \, a^{2} b^{9} x^{18} + 1826110 \, a^{3} b^{8} x^{16} + 530959 \, a^{4} b^{7} x^{14} + 231 \, a^{5} b^{6} x^{12} - 252 \, a^{6} b^{5} x^{10} + 280 \, a^{7} b^{4} x^{8} - 320 \, a^{8} b^{3} x^{6} + 384 \, a^{9} b^{2} x^{4} - 512 \, a^{10} b x^{2} + 1024 \, a^{11}\right)} \sqrt{b x^{2} + a}}{7436429 \, b^{7}}"," ",0,"1/7436429*(323323*b^11*x^22 + 1431859*a*b^10*x^20 + 2406690*a^2*b^9*x^18 + 1826110*a^3*b^8*x^16 + 530959*a^4*b^7*x^14 + 231*a^5*b^6*x^12 - 252*a^6*b^5*x^10 + 280*a^7*b^4*x^8 - 320*a^8*b^3*x^6 + 384*a^9*b^2*x^4 - 512*a^10*b*x^2 + 1024*a^11)*sqrt(b*x^2 + a)/b^7","A",0
411,1,123,0,0.841147," ","integrate(x^11*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(46189 \, b^{10} x^{20} + 206635 \, a b^{9} x^{18} + 351780 \, a^{2} b^{8} x^{16} + 271414 \, a^{3} b^{7} x^{14} + 80773 \, a^{4} b^{6} x^{12} + 63 \, a^{5} b^{5} x^{10} - 70 \, a^{6} b^{4} x^{8} + 80 \, a^{7} b^{3} x^{6} - 96 \, a^{8} b^{2} x^{4} + 128 \, a^{9} b x^{2} - 256 \, a^{10}\right)} \sqrt{b x^{2} + a}}{969969 \, b^{6}}"," ",0,"1/969969*(46189*b^10*x^20 + 206635*a*b^9*x^18 + 351780*a^2*b^8*x^16 + 271414*a^3*b^7*x^14 + 80773*a^4*b^6*x^12 + 63*a^5*b^5*x^10 - 70*a^6*b^4*x^8 + 80*a^7*b^3*x^6 - 96*a^8*b^2*x^4 + 128*a^9*b*x^2 - 256*a^10)*sqrt(b*x^2 + a)/b^6","A",0
412,1,112,0,0.887109," ","integrate(x^9*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(12155 \, b^{9} x^{18} + 55055 \, a b^{8} x^{16} + 95238 \, a^{2} b^{7} x^{14} + 75086 \, a^{3} b^{6} x^{12} + 23063 \, a^{4} b^{5} x^{10} + 35 \, a^{5} b^{4} x^{8} - 40 \, a^{6} b^{3} x^{6} + 48 \, a^{7} b^{2} x^{4} - 64 \, a^{8} b x^{2} + 128 \, a^{9}\right)} \sqrt{b x^{2} + a}}{230945 \, b^{5}}"," ",0,"1/230945*(12155*b^9*x^18 + 55055*a*b^8*x^16 + 95238*a^2*b^7*x^14 + 75086*a^3*b^6*x^12 + 23063*a^4*b^5*x^10 + 35*a^5*b^4*x^8 - 40*a^6*b^3*x^6 + 48*a^7*b^2*x^4 - 64*a^8*b*x^2 + 128*a^9)*sqrt(b*x^2 + a)/b^5","A",0
413,1,101,0,0.726265," ","integrate(x^7*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(715 \, b^{8} x^{16} + 3289 \, a b^{7} x^{14} + 5808 \, a^{2} b^{6} x^{12} + 4714 \, a^{3} b^{5} x^{10} + 1515 \, a^{4} b^{4} x^{8} + 5 \, a^{5} b^{3} x^{6} - 6 \, a^{6} b^{2} x^{4} + 8 \, a^{7} b x^{2} - 16 \, a^{8}\right)} \sqrt{b x^{2} + a}}{12155 \, b^{4}}"," ",0,"1/12155*(715*b^8*x^16 + 3289*a*b^7*x^14 + 5808*a^2*b^6*x^12 + 4714*a^3*b^5*x^10 + 1515*a^4*b^4*x^8 + 5*a^5*b^3*x^6 - 6*a^6*b^2*x^4 + 8*a^7*b*x^2 - 16*a^8)*sqrt(b*x^2 + a)/b^4","A",0
414,1,90,0,0.966469," ","integrate(x^5*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(143 \, b^{7} x^{14} + 671 \, a b^{6} x^{12} + 1218 \, a^{2} b^{5} x^{10} + 1030 \, a^{3} b^{4} x^{8} + 355 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{4} - 4 \, a^{6} b x^{2} + 8 \, a^{7}\right)} \sqrt{b x^{2} + a}}{2145 \, b^{3}}"," ",0,"1/2145*(143*b^7*x^14 + 671*a*b^6*x^12 + 1218*a^2*b^5*x^10 + 1030*a^3*b^4*x^8 + 355*a^4*b^3*x^6 + 3*a^5*b^2*x^4 - 4*a^6*b*x^2 + 8*a^7)*sqrt(b*x^2 + a)/b^3","A",0
415,1,78,0,1.309958," ","integrate(x^3*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(11 \, b^{6} x^{12} + 53 \, a b^{5} x^{10} + 100 \, a^{2} b^{4} x^{8} + 90 \, a^{3} b^{3} x^{6} + 35 \, a^{4} b^{2} x^{4} + a^{5} b x^{2} - 2 \, a^{6}\right)} \sqrt{b x^{2} + a}}{143 \, b^{2}}"," ",0,"1/143*(11*b^6*x^12 + 53*a*b^5*x^10 + 100*a^2*b^4*x^8 + 90*a^3*b^3*x^6 + 35*a^4*b^2*x^4 + a^5*b*x^2 - 2*a^6)*sqrt(b*x^2 + a)/b^2","B",0
416,1,65,0,0.936248," ","integrate(x*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(b^{5} x^{10} + 5 \, a b^{4} x^{8} + 10 \, a^{2} b^{3} x^{6} + 10 \, a^{3} b^{2} x^{4} + 5 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{b x^{2} + a}}{11 \, b}"," ",0,"1/11*(b^5*x^10 + 5*a*b^4*x^8 + 10*a^2*b^3*x^6 + 10*a^3*b^2*x^4 + 5*a^4*b*x^2 + a^5)*sqrt(b*x^2 + a)/b","B",0
417,1,170,0,1.079559," ","integrate((b*x^2+a)^(9/2)/x,x, algorithm=""fricas"")","\left[\frac{1}{2} \, a^{\frac{9}{2}} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + \frac{1}{315} \, {\left(35 \, b^{4} x^{8} + 185 \, a b^{3} x^{6} + 408 \, a^{2} b^{2} x^{4} + 506 \, a^{3} b x^{2} + 563 \, a^{4}\right)} \sqrt{b x^{2} + a}, \sqrt{-a} a^{4} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + \frac{1}{315} \, {\left(35 \, b^{4} x^{8} + 185 \, a b^{3} x^{6} + 408 \, a^{2} b^{2} x^{4} + 506 \, a^{3} b x^{2} + 563 \, a^{4}\right)} \sqrt{b x^{2} + a}\right]"," ",0,"[1/2*a^(9/2)*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 1/315*(35*b^4*x^8 + 185*a*b^3*x^6 + 408*a^2*b^2*x^4 + 506*a^3*b*x^2 + 563*a^4)*sqrt(b*x^2 + a), sqrt(-a)*a^4*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + 1/315*(35*b^4*x^8 + 185*a*b^3*x^6 + 408*a^2*b^2*x^4 + 506*a^3*b*x^2 + 563*a^4)*sqrt(b*x^2 + a)]","A",0
418,1,188,0,1.223688," ","integrate((b*x^2+a)^(9/2)/x^3,x, algorithm=""fricas"")","\left[\frac{315 \, a^{\frac{7}{2}} b x^{2} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(10 \, b^{4} x^{8} + 58 \, a b^{3} x^{6} + 156 \, a^{2} b^{2} x^{4} + 388 \, a^{3} b x^{2} - 35 \, a^{4}\right)} \sqrt{b x^{2} + a}}{140 \, x^{2}}, \frac{315 \, \sqrt{-a} a^{3} b x^{2} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(10 \, b^{4} x^{8} + 58 \, a b^{3} x^{6} + 156 \, a^{2} b^{2} x^{4} + 388 \, a^{3} b x^{2} - 35 \, a^{4}\right)} \sqrt{b x^{2} + a}}{70 \, x^{2}}\right]"," ",0,"[1/140*(315*a^(7/2)*b*x^2*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(10*b^4*x^8 + 58*a*b^3*x^6 + 156*a^2*b^2*x^4 + 388*a^3*b*x^2 - 35*a^4)*sqrt(b*x^2 + a))/x^2, 1/70*(315*sqrt(-a)*a^3*b*x^2*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (10*b^4*x^8 + 58*a*b^3*x^6 + 156*a^2*b^2*x^4 + 388*a^3*b*x^2 - 35*a^4)*sqrt(b*x^2 + a))/x^2]","A",0
419,1,192,0,0.996955," ","integrate((b*x^2+a)^(9/2)/x^5,x, algorithm=""fricas"")","\left[\frac{315 \, a^{\frac{5}{2}} b^{2} x^{4} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(8 \, b^{4} x^{8} + 56 \, a b^{3} x^{6} + 288 \, a^{2} b^{2} x^{4} - 85 \, a^{3} b x^{2} - 10 \, a^{4}\right)} \sqrt{b x^{2} + a}}{80 \, x^{4}}, \frac{315 \, \sqrt{-a} a^{2} b^{2} x^{4} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(8 \, b^{4} x^{8} + 56 \, a b^{3} x^{6} + 288 \, a^{2} b^{2} x^{4} - 85 \, a^{3} b x^{2} - 10 \, a^{4}\right)} \sqrt{b x^{2} + a}}{40 \, x^{4}}\right]"," ",0,"[1/80*(315*a^(5/2)*b^2*x^4*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(8*b^4*x^8 + 56*a*b^3*x^6 + 288*a^2*b^2*x^4 - 85*a^3*b*x^2 - 10*a^4)*sqrt(b*x^2 + a))/x^4, 1/40*(315*sqrt(-a)*a^2*b^2*x^4*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (8*b^4*x^8 + 56*a*b^3*x^6 + 288*a^2*b^2*x^4 - 85*a^3*b*x^2 - 10*a^4)*sqrt(b*x^2 + a))/x^4]","A",0
420,1,190,0,1.039932," ","integrate((b*x^2+a)^(9/2)/x^7,x, algorithm=""fricas"")","\left[\frac{315 \, a^{\frac{3}{2}} b^{3} x^{6} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(16 \, b^{4} x^{8} + 208 \, a b^{3} x^{6} - 165 \, a^{2} b^{2} x^{4} - 50 \, a^{3} b x^{2} - 8 \, a^{4}\right)} \sqrt{b x^{2} + a}}{96 \, x^{6}}, \frac{315 \, \sqrt{-a} a b^{3} x^{6} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(16 \, b^{4} x^{8} + 208 \, a b^{3} x^{6} - 165 \, a^{2} b^{2} x^{4} - 50 \, a^{3} b x^{2} - 8 \, a^{4}\right)} \sqrt{b x^{2} + a}}{48 \, x^{6}}\right]"," ",0,"[1/96*(315*a^(3/2)*b^3*x^6*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(16*b^4*x^8 + 208*a*b^3*x^6 - 165*a^2*b^2*x^4 - 50*a^3*b*x^2 - 8*a^4)*sqrt(b*x^2 + a))/x^6, 1/48*(315*sqrt(-a)*a*b^3*x^6*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (16*b^4*x^8 + 208*a*b^3*x^6 - 165*a^2*b^2*x^4 - 50*a^3*b*x^2 - 8*a^4)*sqrt(b*x^2 + a))/x^6]","A",0
421,1,189,0,1.337318," ","integrate((b*x^2+a)^(9/2)/x^9,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{4} x^{8} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(128 \, b^{4} x^{8} - 325 \, a b^{3} x^{6} - 210 \, a^{2} b^{2} x^{4} - 88 \, a^{3} b x^{2} - 16 \, a^{4}\right)} \sqrt{b x^{2} + a}}{256 \, x^{8}}, \frac{315 \, \sqrt{-a} b^{4} x^{8} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(128 \, b^{4} x^{8} - 325 \, a b^{3} x^{6} - 210 \, a^{2} b^{2} x^{4} - 88 \, a^{3} b x^{2} - 16 \, a^{4}\right)} \sqrt{b x^{2} + a}}{128 \, x^{8}}\right]"," ",0,"[1/256*(315*sqrt(a)*b^4*x^8*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(128*b^4*x^8 - 325*a*b^3*x^6 - 210*a^2*b^2*x^4 - 88*a^3*b*x^2 - 16*a^4)*sqrt(b*x^2 + a))/x^8, 1/128*(315*sqrt(-a)*b^4*x^8*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (128*b^4*x^8 - 325*a*b^3*x^6 - 210*a^2*b^2*x^4 - 88*a^3*b*x^2 - 16*a^4)*sqrt(b*x^2 + a))/x^8]","A",0
422,1,202,0,1.128165," ","integrate((b*x^2+a)^(9/2)/x^11,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{5} x^{10} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(965 \, a b^{4} x^{8} + 1490 \, a^{2} b^{3} x^{6} + 1368 \, a^{3} b^{2} x^{4} + 656 \, a^{4} b x^{2} + 128 \, a^{5}\right)} \sqrt{b x^{2} + a}}{2560 \, a x^{10}}, \frac{315 \, \sqrt{-a} b^{5} x^{10} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) - {\left(965 \, a b^{4} x^{8} + 1490 \, a^{2} b^{3} x^{6} + 1368 \, a^{3} b^{2} x^{4} + 656 \, a^{4} b x^{2} + 128 \, a^{5}\right)} \sqrt{b x^{2} + a}}{1280 \, a x^{10}}\right]"," ",0,"[1/2560*(315*sqrt(a)*b^5*x^10*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(965*a*b^4*x^8 + 1490*a^2*b^3*x^6 + 1368*a^3*b^2*x^4 + 656*a^4*b*x^2 + 128*a^5)*sqrt(b*x^2 + a))/(a*x^10), 1/1280*(315*sqrt(-a)*b^5*x^10*arctan(sqrt(-a)/sqrt(b*x^2 + a)) - (965*a*b^4*x^8 + 1490*a^2*b^3*x^6 + 1368*a^3*b^2*x^4 + 656*a^4*b*x^2 + 128*a^5)*sqrt(b*x^2 + a))/(a*x^10)]","A",0
423,1,223,0,1.250295," ","integrate((b*x^2+a)^(9/2)/x^13,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{6} x^{12} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(315 \, a b^{5} x^{10} + 4910 \, a^{2} b^{4} x^{8} + 11432 \, a^{3} b^{3} x^{6} + 12144 \, a^{4} b^{2} x^{4} + 6272 \, a^{5} b x^{2} + 1280 \, a^{6}\right)} \sqrt{b x^{2} + a}}{30720 \, a^{2} x^{12}}, -\frac{315 \, \sqrt{-a} b^{6} x^{12} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(315 \, a b^{5} x^{10} + 4910 \, a^{2} b^{4} x^{8} + 11432 \, a^{3} b^{3} x^{6} + 12144 \, a^{4} b^{2} x^{4} + 6272 \, a^{5} b x^{2} + 1280 \, a^{6}\right)} \sqrt{b x^{2} + a}}{15360 \, a^{2} x^{12}}\right]"," ",0,"[1/30720*(315*sqrt(a)*b^6*x^12*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(315*a*b^5*x^10 + 4910*a^2*b^4*x^8 + 11432*a^3*b^3*x^6 + 12144*a^4*b^2*x^4 + 6272*a^5*b*x^2 + 1280*a^6)*sqrt(b*x^2 + a))/(a^2*x^12), -1/15360*(315*sqrt(-a)*b^6*x^12*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (315*a*b^5*x^10 + 4910*a^2*b^4*x^8 + 11432*a^3*b^3*x^6 + 12144*a^4*b^2*x^4 + 6272*a^5*b*x^2 + 1280*a^6)*sqrt(b*x^2 + a))/(a^2*x^12)]","A",0
424,1,245,0,1.164299," ","integrate((b*x^2+a)^(9/2)/x^15,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{7} x^{14} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(315 \, a b^{6} x^{12} - 210 \, a^{2} b^{5} x^{10} - 14168 \, a^{3} b^{4} x^{8} - 39056 \, a^{4} b^{3} x^{6} - 44928 \, a^{5} b^{2} x^{4} - 24320 \, a^{6} b x^{2} - 5120 \, a^{7}\right)} \sqrt{b x^{2} + a}}{143360 \, a^{3} x^{14}}, \frac{315 \, \sqrt{-a} b^{7} x^{14} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(315 \, a b^{6} x^{12} - 210 \, a^{2} b^{5} x^{10} - 14168 \, a^{3} b^{4} x^{8} - 39056 \, a^{4} b^{3} x^{6} - 44928 \, a^{5} b^{2} x^{4} - 24320 \, a^{6} b x^{2} - 5120 \, a^{7}\right)} \sqrt{b x^{2} + a}}{71680 \, a^{3} x^{14}}\right]"," ",0,"[1/143360*(315*sqrt(a)*b^7*x^14*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(315*a*b^6*x^12 - 210*a^2*b^5*x^10 - 14168*a^3*b^4*x^8 - 39056*a^4*b^3*x^6 - 44928*a^5*b^2*x^4 - 24320*a^6*b*x^2 - 5120*a^7)*sqrt(b*x^2 + a))/(a^3*x^14), 1/71680*(315*sqrt(-a)*b^7*x^14*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (315*a*b^6*x^12 - 210*a^2*b^5*x^10 - 14168*a^3*b^4*x^8 - 39056*a^4*b^3*x^6 - 44928*a^5*b^2*x^4 - 24320*a^6*b*x^2 - 5120*a^7)*sqrt(b*x^2 + a))/(a^3*x^14)]","A",0
425,1,255,0,1.316159," ","integrate(x^6*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, a^{8} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(14336 \, b^{8} x^{15} + 66560 \, a b^{7} x^{13} + 119040 \, a^{2} b^{6} x^{11} + 98432 \, a^{3} b^{5} x^{9} + 32624 \, a^{4} b^{4} x^{7} + 168 \, a^{5} b^{3} x^{5} - 210 \, a^{6} b^{2} x^{3} + 315 \, a^{7} b x\right)} \sqrt{b x^{2} + a}}{458752 \, b^{4}}, \frac{315 \, a^{8} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(14336 \, b^{8} x^{15} + 66560 \, a b^{7} x^{13} + 119040 \, a^{2} b^{6} x^{11} + 98432 \, a^{3} b^{5} x^{9} + 32624 \, a^{4} b^{4} x^{7} + 168 \, a^{5} b^{3} x^{5} - 210 \, a^{6} b^{2} x^{3} + 315 \, a^{7} b x\right)} \sqrt{b x^{2} + a}}{229376 \, b^{4}}\right]"," ",0,"[1/458752*(315*a^8*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(14336*b^8*x^15 + 66560*a*b^7*x^13 + 119040*a^2*b^6*x^11 + 98432*a^3*b^5*x^9 + 32624*a^4*b^4*x^7 + 168*a^5*b^3*x^5 - 210*a^6*b^2*x^3 + 315*a^7*b*x)*sqrt(b*x^2 + a))/b^4, 1/229376*(315*a^8*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (14336*b^8*x^15 + 66560*a*b^7*x^13 + 119040*a^2*b^6*x^11 + 98432*a^3*b^5*x^9 + 32624*a^4*b^4*x^7 + 168*a^5*b^3*x^5 - 210*a^6*b^2*x^3 + 315*a^7*b*x)*sqrt(b*x^2 + a))/b^4]","A",0
426,1,234,0,1.528102," ","integrate(x^4*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, a^{7} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(5120 \, b^{7} x^{13} + 24320 \, a b^{6} x^{11} + 44928 \, a^{2} b^{5} x^{9} + 39056 \, a^{3} b^{4} x^{7} + 14168 \, a^{4} b^{3} x^{5} + 210 \, a^{5} b^{2} x^{3} - 315 \, a^{6} b x\right)} \sqrt{b x^{2} + a}}{143360 \, b^{3}}, -\frac{315 \, a^{7} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(5120 \, b^{7} x^{13} + 24320 \, a b^{6} x^{11} + 44928 \, a^{2} b^{5} x^{9} + 39056 \, a^{3} b^{4} x^{7} + 14168 \, a^{4} b^{3} x^{5} + 210 \, a^{5} b^{2} x^{3} - 315 \, a^{6} b x\right)} \sqrt{b x^{2} + a}}{71680 \, b^{3}}\right]"," ",0,"[1/143360*(315*a^7*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(5120*b^7*x^13 + 24320*a*b^6*x^11 + 44928*a^2*b^5*x^9 + 39056*a^3*b^4*x^7 + 14168*a^4*b^3*x^5 + 210*a^5*b^2*x^3 - 315*a^6*b*x)*sqrt(b*x^2 + a))/b^3, -1/71680*(315*a^7*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (5120*b^7*x^13 + 24320*a*b^6*x^11 + 44928*a^2*b^5*x^9 + 39056*a^3*b^4*x^7 + 14168*a^4*b^3*x^5 + 210*a^5*b^2*x^3 - 315*a^6*b*x)*sqrt(b*x^2 + a))/b^3]","A",0
427,1,211,0,1.490191," ","integrate(x^2*(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, a^{6} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(1280 \, b^{6} x^{11} + 6272 \, a b^{5} x^{9} + 12144 \, a^{2} b^{4} x^{7} + 11432 \, a^{3} b^{3} x^{5} + 4910 \, a^{4} b^{2} x^{3} + 315 \, a^{5} b x\right)} \sqrt{b x^{2} + a}}{30720 \, b^{2}}, \frac{315 \, a^{6} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(1280 \, b^{6} x^{11} + 6272 \, a b^{5} x^{9} + 12144 \, a^{2} b^{4} x^{7} + 11432 \, a^{3} b^{3} x^{5} + 4910 \, a^{4} b^{2} x^{3} + 315 \, a^{5} b x\right)} \sqrt{b x^{2} + a}}{15360 \, b^{2}}\right]"," ",0,"[1/30720*(315*a^6*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(1280*b^6*x^11 + 6272*a*b^5*x^9 + 12144*a^2*b^4*x^7 + 11432*a^3*b^3*x^5 + 4910*a^4*b^2*x^3 + 315*a^5*b*x)*sqrt(b*x^2 + a))/b^2, 1/15360*(315*a^6*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (1280*b^6*x^11 + 6272*a*b^5*x^9 + 12144*a^2*b^4*x^7 + 11432*a^3*b^3*x^5 + 4910*a^4*b^2*x^3 + 315*a^5*b*x)*sqrt(b*x^2 + a))/b^2]","A",0
428,1,190,0,1.566652," ","integrate((b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, a^{5} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(128 \, b^{5} x^{9} + 656 \, a b^{4} x^{7} + 1368 \, a^{2} b^{3} x^{5} + 1490 \, a^{3} b^{2} x^{3} + 965 \, a^{4} b x\right)} \sqrt{b x^{2} + a}}{2560 \, b}, -\frac{315 \, a^{5} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(128 \, b^{5} x^{9} + 656 \, a b^{4} x^{7} + 1368 \, a^{2} b^{3} x^{5} + 1490 \, a^{3} b^{2} x^{3} + 965 \, a^{4} b x\right)} \sqrt{b x^{2} + a}}{1280 \, b}\right]"," ",0,"[1/2560*(315*a^5*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(128*b^5*x^9 + 656*a*b^4*x^7 + 1368*a^2*b^3*x^5 + 1490*a^3*b^2*x^3 + 965*a^4*b*x)*sqrt(b*x^2 + a))/b, -1/1280*(315*a^5*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (128*b^5*x^9 + 656*a*b^4*x^7 + 1368*a^2*b^3*x^5 + 1490*a^3*b^2*x^3 + 965*a^4*b*x)*sqrt(b*x^2 + a))/b]","A",0
429,1,184,0,1.199226," ","integrate((b*x^2+a)^(9/2)/x^2,x, algorithm=""fricas"")","\left[\frac{315 \, a^{4} \sqrt{b} x \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(16 \, b^{4} x^{8} + 88 \, a b^{3} x^{6} + 210 \, a^{2} b^{2} x^{4} + 325 \, a^{3} b x^{2} - 128 \, a^{4}\right)} \sqrt{b x^{2} + a}}{256 \, x}, -\frac{315 \, a^{4} \sqrt{-b} x \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(16 \, b^{4} x^{8} + 88 \, a b^{3} x^{6} + 210 \, a^{2} b^{2} x^{4} + 325 \, a^{3} b x^{2} - 128 \, a^{4}\right)} \sqrt{b x^{2} + a}}{128 \, x}\right]"," ",0,"[1/256*(315*a^4*sqrt(b)*x*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(16*b^4*x^8 + 88*a*b^3*x^6 + 210*a^2*b^2*x^4 + 325*a^3*b*x^2 - 128*a^4)*sqrt(b*x^2 + a))/x, -1/128*(315*a^4*sqrt(-b)*x*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (16*b^4*x^8 + 88*a*b^3*x^6 + 210*a^2*b^2*x^4 + 325*a^3*b*x^2 - 128*a^4)*sqrt(b*x^2 + a))/x]","A",0
430,1,189,0,1.242074," ","integrate((b*x^2+a)^(9/2)/x^4,x, algorithm=""fricas"")","\left[\frac{315 \, a^{3} b^{\frac{3}{2}} x^{3} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(8 \, b^{4} x^{8} + 50 \, a b^{3} x^{6} + 165 \, a^{2} b^{2} x^{4} - 208 \, a^{3} b x^{2} - 16 \, a^{4}\right)} \sqrt{b x^{2} + a}}{96 \, x^{3}}, -\frac{315 \, a^{3} \sqrt{-b} b x^{3} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(8 \, b^{4} x^{8} + 50 \, a b^{3} x^{6} + 165 \, a^{2} b^{2} x^{4} - 208 \, a^{3} b x^{2} - 16 \, a^{4}\right)} \sqrt{b x^{2} + a}}{48 \, x^{3}}\right]"," ",0,"[1/96*(315*a^3*b^(3/2)*x^3*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(8*b^4*x^8 + 50*a*b^3*x^6 + 165*a^2*b^2*x^4 - 208*a^3*b*x^2 - 16*a^4)*sqrt(b*x^2 + a))/x^3, -1/48*(315*a^3*sqrt(-b)*b*x^3*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (8*b^4*x^8 + 50*a*b^3*x^6 + 165*a^2*b^2*x^4 - 208*a^3*b*x^2 - 16*a^4)*sqrt(b*x^2 + a))/x^3]","A",0
431,1,191,0,0.705890," ","integrate((b*x^2+a)^(9/2)/x^6,x, algorithm=""fricas"")","\left[\frac{315 \, a^{2} b^{\frac{5}{2}} x^{5} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(10 \, b^{4} x^{8} + 85 \, a b^{3} x^{6} - 288 \, a^{2} b^{2} x^{4} - 56 \, a^{3} b x^{2} - 8 \, a^{4}\right)} \sqrt{b x^{2} + a}}{80 \, x^{5}}, -\frac{315 \, a^{2} \sqrt{-b} b^{2} x^{5} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(10 \, b^{4} x^{8} + 85 \, a b^{3} x^{6} - 288 \, a^{2} b^{2} x^{4} - 56 \, a^{3} b x^{2} - 8 \, a^{4}\right)} \sqrt{b x^{2} + a}}{40 \, x^{5}}\right]"," ",0,"[1/80*(315*a^2*b^(5/2)*x^5*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(10*b^4*x^8 + 85*a*b^3*x^6 - 288*a^2*b^2*x^4 - 56*a^3*b*x^2 - 8*a^4)*sqrt(b*x^2 + a))/x^5, -1/40*(315*a^2*sqrt(-b)*b^2*x^5*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (10*b^4*x^8 + 85*a*b^3*x^6 - 288*a^2*b^2*x^4 - 56*a^3*b*x^2 - 8*a^4)*sqrt(b*x^2 + a))/x^5]","A",0
432,1,187,0,0.540213," ","integrate((b*x^2+a)^(9/2)/x^8,x, algorithm=""fricas"")","\left[\frac{315 \, a b^{\frac{7}{2}} x^{7} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(35 \, b^{4} x^{8} - 388 \, a b^{3} x^{6} - 156 \, a^{2} b^{2} x^{4} - 58 \, a^{3} b x^{2} - 10 \, a^{4}\right)} \sqrt{b x^{2} + a}}{140 \, x^{7}}, -\frac{315 \, a \sqrt{-b} b^{3} x^{7} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(35 \, b^{4} x^{8} - 388 \, a b^{3} x^{6} - 156 \, a^{2} b^{2} x^{4} - 58 \, a^{3} b x^{2} - 10 \, a^{4}\right)} \sqrt{b x^{2} + a}}{70 \, x^{7}}\right]"," ",0,"[1/140*(315*a*b^(7/2)*x^7*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(35*b^4*x^8 - 388*a*b^3*x^6 - 156*a^2*b^2*x^4 - 58*a^3*b*x^2 - 10*a^4)*sqrt(b*x^2 + a))/x^7, -1/70*(315*a*sqrt(-b)*b^3*x^7*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (35*b^4*x^8 - 388*a*b^3*x^6 - 156*a^2*b^2*x^4 - 58*a^3*b*x^2 - 10*a^4)*sqrt(b*x^2 + a))/x^7]","A",0
433,1,184,0,1.344218," ","integrate((b*x^2+a)^(9/2)/x^10,x, algorithm=""fricas"")","\left[\frac{315 \, b^{\frac{9}{2}} x^{9} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) - 2 \, {\left(563 \, b^{4} x^{8} + 506 \, a b^{3} x^{6} + 408 \, a^{2} b^{2} x^{4} + 185 \, a^{3} b x^{2} + 35 \, a^{4}\right)} \sqrt{b x^{2} + a}}{630 \, x^{9}}, -\frac{315 \, \sqrt{-b} b^{4} x^{9} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(563 \, b^{4} x^{8} + 506 \, a b^{3} x^{6} + 408 \, a^{2} b^{2} x^{4} + 185 \, a^{3} b x^{2} + 35 \, a^{4}\right)} \sqrt{b x^{2} + a}}{315 \, x^{9}}\right]"," ",0,"[1/630*(315*b^(9/2)*x^9*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) - 2*(563*b^4*x^8 + 506*a*b^3*x^6 + 408*a^2*b^2*x^4 + 185*a^3*b*x^2 + 35*a^4)*sqrt(b*x^2 + a))/x^9, -1/315*(315*sqrt(-b)*b^4*x^9*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (563*b^4*x^8 + 506*a*b^3*x^6 + 408*a^2*b^2*x^4 + 185*a^3*b*x^2 + 35*a^4)*sqrt(b*x^2 + a))/x^9]","A",0
434,1,68,0,0.634768," ","integrate((b*x^2+a)^(9/2)/x^12,x, algorithm=""fricas"")","-\frac{{\left(b^{5} x^{10} + 5 \, a b^{4} x^{8} + 10 \, a^{2} b^{3} x^{6} + 10 \, a^{3} b^{2} x^{4} + 5 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{b x^{2} + a}}{11 \, a x^{11}}"," ",0,"-1/11*(b^5*x^10 + 5*a*b^4*x^8 + 10*a^2*b^3*x^6 + 10*a^3*b^2*x^4 + 5*a^4*b*x^2 + a^5)*sqrt(b*x^2 + a)/(a*x^11)","B",0
435,1,82,0,1.086065," ","integrate((b*x^2+a)^(9/2)/x^14,x, algorithm=""fricas"")","\frac{{\left(2 \, b^{6} x^{12} - a b^{5} x^{10} - 35 \, a^{2} b^{4} x^{8} - 90 \, a^{3} b^{3} x^{6} - 100 \, a^{4} b^{2} x^{4} - 53 \, a^{5} b x^{2} - 11 \, a^{6}\right)} \sqrt{b x^{2} + a}}{143 \, a^{2} x^{13}}"," ",0,"1/143*(2*b^6*x^12 - a*b^5*x^10 - 35*a^2*b^4*x^8 - 90*a^3*b^3*x^6 - 100*a^4*b^2*x^4 - 53*a^5*b*x^2 - 11*a^6)*sqrt(b*x^2 + a)/(a^2*x^13)","B",0
436,1,93,0,1.281600," ","integrate((b*x^2+a)^(9/2)/x^16,x, algorithm=""fricas"")","-\frac{{\left(8 \, b^{7} x^{14} - 4 \, a b^{6} x^{12} + 3 \, a^{2} b^{5} x^{10} + 355 \, a^{3} b^{4} x^{8} + 1030 \, a^{4} b^{3} x^{6} + 1218 \, a^{5} b^{2} x^{4} + 671 \, a^{6} b x^{2} + 143 \, a^{7}\right)} \sqrt{b x^{2} + a}}{2145 \, a^{3} x^{15}}"," ",0,"-1/2145*(8*b^7*x^14 - 4*a*b^6*x^12 + 3*a^2*b^5*x^10 + 355*a^3*b^4*x^8 + 1030*a^4*b^3*x^6 + 1218*a^5*b^2*x^4 + 671*a^6*b*x^2 + 143*a^7)*sqrt(b*x^2 + a)/(a^3*x^15)","A",0
437,1,104,0,1.884039," ","integrate((b*x^2+a)^(9/2)/x^18,x, algorithm=""fricas"")","\frac{{\left(16 \, b^{8} x^{16} - 8 \, a b^{7} x^{14} + 6 \, a^{2} b^{6} x^{12} - 5 \, a^{3} b^{5} x^{10} - 1515 \, a^{4} b^{4} x^{8} - 4714 \, a^{5} b^{3} x^{6} - 5808 \, a^{6} b^{2} x^{4} - 3289 \, a^{7} b x^{2} - 715 \, a^{8}\right)} \sqrt{b x^{2} + a}}{12155 \, a^{4} x^{17}}"," ",0,"1/12155*(16*b^8*x^16 - 8*a*b^7*x^14 + 6*a^2*b^6*x^12 - 5*a^3*b^5*x^10 - 1515*a^4*b^4*x^8 - 4714*a^5*b^3*x^6 - 5808*a^6*b^2*x^4 - 3289*a^7*b*x^2 - 715*a^8)*sqrt(b*x^2 + a)/(a^4*x^17)","A",0
438,1,115,0,1.598689," ","integrate((b*x^2+a)^(9/2)/x^20,x, algorithm=""fricas"")","-\frac{{\left(128 \, b^{9} x^{18} - 64 \, a b^{8} x^{16} + 48 \, a^{2} b^{7} x^{14} - 40 \, a^{3} b^{6} x^{12} + 35 \, a^{4} b^{5} x^{10} + 23063 \, a^{5} b^{4} x^{8} + 75086 \, a^{6} b^{3} x^{6} + 95238 \, a^{7} b^{2} x^{4} + 55055 \, a^{8} b x^{2} + 12155 \, a^{9}\right)} \sqrt{b x^{2} + a}}{230945 \, a^{5} x^{19}}"," ",0,"-1/230945*(128*b^9*x^18 - 64*a*b^8*x^16 + 48*a^2*b^7*x^14 - 40*a^3*b^6*x^12 + 35*a^4*b^5*x^10 + 23063*a^5*b^4*x^8 + 75086*a^6*b^3*x^6 + 95238*a^7*b^2*x^4 + 55055*a^8*b*x^2 + 12155*a^9)*sqrt(b*x^2 + a)/(a^5*x^19)","A",0
439,1,126,0,2.719206," ","integrate((b*x^2+a)^(9/2)/x^22,x, algorithm=""fricas"")","\frac{{\left(256 \, b^{10} x^{20} - 128 \, a b^{9} x^{18} + 96 \, a^{2} b^{8} x^{16} - 80 \, a^{3} b^{7} x^{14} + 70 \, a^{4} b^{6} x^{12} - 63 \, a^{5} b^{5} x^{10} - 80773 \, a^{6} b^{4} x^{8} - 271414 \, a^{7} b^{3} x^{6} - 351780 \, a^{8} b^{2} x^{4} - 206635 \, a^{9} b x^{2} - 46189 \, a^{10}\right)} \sqrt{b x^{2} + a}}{969969 \, a^{6} x^{21}}"," ",0,"1/969969*(256*b^10*x^20 - 128*a*b^9*x^18 + 96*a^2*b^8*x^16 - 80*a^3*b^7*x^14 + 70*a^4*b^6*x^12 - 63*a^5*b^5*x^10 - 80773*a^6*b^4*x^8 - 271414*a^7*b^3*x^6 - 351780*a^8*b^2*x^4 - 206635*a^9*b*x^2 - 46189*a^10)*sqrt(b*x^2 + a)/(a^6*x^21)","A",0
440,1,137,0,3.171192," ","integrate((b*x^2+a)^(9/2)/x^24,x, algorithm=""fricas"")","-\frac{{\left(1024 \, b^{11} x^{22} - 512 \, a b^{10} x^{20} + 384 \, a^{2} b^{9} x^{18} - 320 \, a^{3} b^{8} x^{16} + 280 \, a^{4} b^{7} x^{14} - 252 \, a^{5} b^{6} x^{12} + 231 \, a^{6} b^{5} x^{10} + 530959 \, a^{7} b^{4} x^{8} + 1826110 \, a^{8} b^{3} x^{6} + 2406690 \, a^{9} b^{2} x^{4} + 1431859 \, a^{10} b x^{2} + 323323 \, a^{11}\right)} \sqrt{b x^{2} + a}}{7436429 \, a^{7} x^{23}}"," ",0,"-1/7436429*(1024*b^11*x^22 - 512*a*b^10*x^20 + 384*a^2*b^9*x^18 - 320*a^3*b^8*x^16 + 280*a^4*b^7*x^14 - 252*a^5*b^6*x^12 + 231*a^6*b^5*x^10 + 530959*a^7*b^4*x^8 + 1826110*a^8*b^3*x^6 + 2406690*a^9*b^2*x^4 + 1431859*a^10*b*x^2 + 323323*a^11)*sqrt(b*x^2 + a)/(a^7*x^23)","A",0
441,1,28,0,1.327956," ","integrate(x^5*(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{280} \, {\left(40 \, x^{6} + 18 \, x^{4} - 54 \, x^{2} + 243\right)} \sqrt{4 \, x^{2} + 9}"," ",0,"1/280*(40*x^6 + 18*x^4 - 54*x^2 + 243)*sqrt(4*x^2 + 9)","A",0
442,1,42,0,1.120081," ","integrate(x^4*(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{768} \, {\left(128 \, x^{5} + 72 \, x^{3} - 243 \, x\right)} \sqrt{4 \, x^{2} + 9} - \frac{729}{512} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/768*(128*x^5 + 72*x^3 - 243*x)*sqrt(4*x^2 + 9) - 729/512*log(-2*x + sqrt(4*x^2 + 9))","A",0
443,1,23,0,0.622703," ","integrate(x^3*(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(8 \, x^{4} + 6 \, x^{2} - 27\right)} \sqrt{4 \, x^{2} + 9}"," ",0,"1/40*(8*x^4 + 6*x^2 - 27)*sqrt(4*x^2 + 9)","A",0
444,1,37,0,1.154343," ","integrate(x^2*(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{32} \, {\left(8 \, x^{3} + 9 \, x\right)} \sqrt{4 \, x^{2} + 9} + \frac{81}{64} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/32*(8*x^3 + 9*x)*sqrt(4*x^2 + 9) + 81/64*log(-2*x + sqrt(4*x^2 + 9))","A",0
445,1,11,0,1.280222," ","integrate(x*(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/12*(4*x^2 + 9)^(3/2)","A",0
446,1,29,0,0.774650," ","integrate((4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{4 \, x^{2} + 9} x - \frac{9}{4} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/2*sqrt(4*x^2 + 9)*x - 9/4*log(-2*x + sqrt(4*x^2 + 9))","A",0
447,1,44,0,1.424098," ","integrate((4*x^2+9)^(1/2)/x,x, algorithm=""fricas"")","\sqrt{4 \, x^{2} + 9} - 3 \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} + 3\right) + 3 \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"sqrt(4*x^2 + 9) - 3*log(-2*x + sqrt(4*x^2 + 9) + 3) + 3*log(-2*x + sqrt(4*x^2 + 9) - 3)","A",0
448,1,35,0,1.180040," ","integrate((4*x^2+9)^(1/2)/x^2,x, algorithm=""fricas"")","-\frac{2 \, x \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right) + 2 \, x + \sqrt{4 \, x^{2} + 9}}{x}"," ",0,"-(2*x*log(-2*x + sqrt(4*x^2 + 9)) + 2*x + sqrt(4*x^2 + 9))/x","A",0
449,1,57,0,0.830706," ","integrate((4*x^2+9)^(1/2)/x^3,x, algorithm=""fricas"")","-\frac{4 \, x^{2} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} + 3\right) - 4 \, x^{2} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} - 3\right) + 3 \, \sqrt{4 \, x^{2} + 9}}{6 \, x^{2}}"," ",0,"-1/6*(4*x^2*log(-2*x + sqrt(4*x^2 + 9) + 3) - 4*x^2*log(-2*x + sqrt(4*x^2 + 9) - 3) + 3*sqrt(4*x^2 + 9))/x^2","A",0
450,1,20,0,1.088428," ","integrate((4*x^2+9)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{8 \, x^{3} + {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}}{27 \, x^{3}}"," ",0,"-1/27*(8*x^3 + (4*x^2 + 9)^(3/2))/x^3","A",0
451,1,64,0,1.743201," ","integrate((4*x^2+9)^(1/2)/x^5,x, algorithm=""fricas"")","\frac{8 \, x^{4} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} + 3\right) - 8 \, x^{4} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} - 3\right) - 3 \, \sqrt{4 \, x^{2} + 9} {\left(2 \, x^{2} + 9\right)}}{108 \, x^{4}}"," ",0,"1/108*(8*x^4*log(-2*x + sqrt(4*x^2 + 9) + 3) - 8*x^4*log(-2*x + sqrt(4*x^2 + 9) - 3) - 3*sqrt(4*x^2 + 9)*(2*x^2 + 9))/x^4","A",0
452,1,28,0,0.967589," ","integrate(x^5*(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{280} \, {\left(40 \, x^{6} - 18 \, x^{4} - 54 \, x^{2} - 243\right)} \sqrt{-4 \, x^{2} + 9}"," ",0,"1/280*(40*x^6 - 18*x^4 - 54*x^2 - 243)*sqrt(-4*x^2 + 9)","A",0
453,1,45,0,1.156290," ","integrate(x^4*(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{768} \, {\left(128 \, x^{5} - 72 \, x^{3} - 243 \, x\right)} \sqrt{-4 \, x^{2} + 9} - \frac{729}{256} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x}\right)"," ",0,"1/768*(128*x^5 - 72*x^3 - 243*x)*sqrt(-4*x^2 + 9) - 729/256*arctan(1/2*(sqrt(-4*x^2 + 9) - 3)/x)","A",0
454,1,23,0,1.329208," ","integrate(x^3*(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(8 \, x^{4} - 6 \, x^{2} - 27\right)} \sqrt{-4 \, x^{2} + 9}"," ",0,"1/40*(8*x^4 - 6*x^2 - 27)*sqrt(-4*x^2 + 9)","A",0
455,1,40,0,1.138971," ","integrate(x^2*(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{32} \, {\left(8 \, x^{3} - 9 \, x\right)} \sqrt{-4 \, x^{2} + 9} - \frac{81}{32} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x}\right)"," ",0,"1/32*(8*x^3 - 9*x)*sqrt(-4*x^2 + 9) - 81/32*arctan(1/2*(sqrt(-4*x^2 + 9) - 3)/x)","A",0
456,1,18,0,1.508891," ","integrate(x*(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(4 \, x^{2} - 9\right)} \sqrt{-4 \, x^{2} + 9}"," ",0,"1/12*(4*x^2 - 9)*sqrt(-4*x^2 + 9)","A",0
457,1,32,0,0.636802," ","integrate((-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} + 9} x - \frac{9}{2} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x}\right)"," ",0,"1/2*sqrt(-4*x^2 + 9)*x - 9/2*arctan(1/2*(sqrt(-4*x^2 + 9) - 3)/x)","A",0
458,1,28,0,1.340807," ","integrate((-4*x^2+9)^(1/2)/x,x, algorithm=""fricas"")","\sqrt{-4 \, x^{2} + 9} + 3 \, \log\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{x}\right)"," ",0,"sqrt(-4*x^2 + 9) + 3*log((sqrt(-4*x^2 + 9) - 3)/x)","A",0
459,1,36,0,0.728417," ","integrate((-4*x^2+9)^(1/2)/x^2,x, algorithm=""fricas"")","\frac{4 \, x \arctan\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x}\right) - \sqrt{-4 \, x^{2} + 9}}{x}"," ",0,"(4*x*arctan(1/2*(sqrt(-4*x^2 + 9) - 3)/x) - sqrt(-4*x^2 + 9))/x","A",0
460,1,38,0,1.145389," ","integrate((-4*x^2+9)^(1/2)/x^3,x, algorithm=""fricas"")","-\frac{4 \, x^{2} \log\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{x}\right) + 3 \, \sqrt{-4 \, x^{2} + 9}}{6 \, x^{2}}"," ",0,"-1/6*(4*x^2*log((sqrt(-4*x^2 + 9) - 3)/x) + 3*sqrt(-4*x^2 + 9))/x^2","A",0
461,1,21,0,1.311967," ","integrate((-4*x^2+9)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{{\left(4 \, x^{2} - 9\right)} \sqrt{-4 \, x^{2} + 9}}{27 \, x^{3}}"," ",0,"1/27*(4*x^2 - 9)*sqrt(-4*x^2 + 9)/x^3","A",0
462,1,45,0,1.006031," ","integrate((-4*x^2+9)^(1/2)/x^5,x, algorithm=""fricas"")","-\frac{8 \, x^{4} \log\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{x}\right) - 3 \, {\left(2 \, x^{2} - 9\right)} \sqrt{-4 \, x^{2} + 9}}{108 \, x^{4}}"," ",0,"-1/108*(8*x^4*log((sqrt(-4*x^2 + 9) - 3)/x) - 3*(2*x^2 - 9)*sqrt(-4*x^2 + 9))/x^4","A",0
463,1,28,0,1.288503," ","integrate(x^5*(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{280} \, {\left(40 \, x^{6} - 18 \, x^{4} - 54 \, x^{2} - 243\right)} \sqrt{4 \, x^{2} - 9}"," ",0,"1/280*(40*x^6 - 18*x^4 - 54*x^2 - 243)*sqrt(4*x^2 - 9)","A",0
464,1,42,0,1.217788," ","integrate(x^4*(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{768} \, {\left(128 \, x^{5} - 72 \, x^{3} - 243 \, x\right)} \sqrt{4 \, x^{2} - 9} + \frac{729}{512} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/768*(128*x^5 - 72*x^3 - 243*x)*sqrt(4*x^2 - 9) + 729/512*log(-2*x + sqrt(4*x^2 - 9))","A",0
465,1,23,0,1.038583," ","integrate(x^3*(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(8 \, x^{4} - 6 \, x^{2} - 27\right)} \sqrt{4 \, x^{2} - 9}"," ",0,"1/40*(8*x^4 - 6*x^2 - 27)*sqrt(4*x^2 - 9)","A",0
466,1,37,0,0.951249," ","integrate(x^2*(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{32} \, {\left(8 \, x^{3} - 9 \, x\right)} \sqrt{4 \, x^{2} - 9} + \frac{81}{64} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/32*(8*x^3 - 9*x)*sqrt(4*x^2 - 9) + 81/64*log(-2*x + sqrt(4*x^2 - 9))","A",0
467,1,11,0,0.766182," ","integrate(x*(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"1/12*(4*x^2 - 9)^(3/2)","A",0
468,1,29,0,0.782491," ","integrate((4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{4 \, x^{2} - 9} x + \frac{9}{4} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/2*sqrt(4*x^2 - 9)*x + 9/4*log(-2*x + sqrt(4*x^2 - 9))","A",0
469,1,28,0,0.901810," ","integrate((4*x^2-9)^(1/2)/x,x, algorithm=""fricas"")","\sqrt{4 \, x^{2} - 9} - 6 \, \arctan\left(-\frac{2}{3} \, x + \frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"sqrt(4*x^2 - 9) - 6*arctan(-2/3*x + 1/3*sqrt(4*x^2 - 9))","A",0
470,1,35,0,1.274018," ","integrate((4*x^2-9)^(1/2)/x^2,x, algorithm=""fricas"")","-\frac{2 \, x \log\left(-2 \, x + \sqrt{4 \, x^{2} - 9}\right) + 2 \, x + \sqrt{4 \, x^{2} - 9}}{x}"," ",0,"-(2*x*log(-2*x + sqrt(4*x^2 - 9)) + 2*x + sqrt(4*x^2 - 9))/x","A",0
471,1,38,0,0.815179," ","integrate((4*x^2-9)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{8 \, x^{2} \arctan\left(-\frac{2}{3} \, x + \frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right) - 3 \, \sqrt{4 \, x^{2} - 9}}{6 \, x^{2}}"," ",0,"1/6*(8*x^2*arctan(-2/3*x + 1/3*sqrt(4*x^2 - 9)) - 3*sqrt(4*x^2 - 9))/x^2","A",0
472,1,20,0,0.919594," ","integrate((4*x^2-9)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{8 \, x^{3} + {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{27 \, x^{3}}"," ",0,"1/27*(8*x^3 + (4*x^2 - 9)^(3/2))/x^3","A",0
473,1,45,0,1.057069," ","integrate((4*x^2-9)^(1/2)/x^5,x, algorithm=""fricas"")","\frac{16 \, x^{4} \arctan\left(-\frac{2}{3} \, x + \frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right) + 3 \, \sqrt{4 \, x^{2} - 9} {\left(2 \, x^{2} - 9\right)}}{108 \, x^{4}}"," ",0,"1/108*(16*x^4*arctan(-2/3*x + 1/3*sqrt(4*x^2 - 9)) + 3*sqrt(4*x^2 - 9)*(2*x^2 - 9))/x^4","A",0
474,1,28,0,0.989049," ","integrate(x^5*(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{280} \, {\left(40 \, x^{6} + 18 \, x^{4} - 54 \, x^{2} + 243\right)} \sqrt{-4 \, x^{2} - 9}"," ",0,"1/280*(40*x^6 + 18*x^4 - 54*x^2 + 243)*sqrt(-4*x^2 - 9)","A",0
475,1,72,0,0.992561," ","integrate(x^4*(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{768} \, {\left(128 \, x^{5} + 72 \, x^{3} - 243 \, x\right)} \sqrt{-4 \, x^{2} - 9} - \frac{729}{1024} i \, \log\left(-\frac{8 \, x + 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) + \frac{729}{1024} i \, \log\left(-\frac{8 \, x - 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right)"," ",0,"1/768*(128*x^5 + 72*x^3 - 243*x)*sqrt(-4*x^2 - 9) - 729/1024*I*log(-(8*x + 4*I*sqrt(-4*x^2 - 9))/x) + 729/1024*I*log(-(8*x - 4*I*sqrt(-4*x^2 - 9))/x)","C",0
476,1,23,0,1.236990," ","integrate(x^3*(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(8 \, x^{4} + 6 \, x^{2} - 27\right)} \sqrt{-4 \, x^{2} - 9}"," ",0,"1/40*(8*x^4 + 6*x^2 - 27)*sqrt(-4*x^2 - 9)","A",0
477,1,67,0,0.903553," ","integrate(x^2*(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{32} \, {\left(8 \, x^{3} + 9 \, x\right)} \sqrt{-4 \, x^{2} - 9} + \frac{81}{128} i \, \log\left(-\frac{8 \, x + 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) - \frac{81}{128} i \, \log\left(-\frac{8 \, x - 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right)"," ",0,"1/32*(8*x^3 + 9*x)*sqrt(-4*x^2 - 9) + 81/128*I*log(-(8*x + 4*I*sqrt(-4*x^2 - 9))/x) - 81/128*I*log(-(8*x - 4*I*sqrt(-4*x^2 - 9))/x)","C",0
478,1,18,0,0.763675," ","integrate(x*(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(4 \, x^{2} + 9\right)} \sqrt{-4 \, x^{2} - 9}"," ",0,"1/12*(4*x^2 + 9)*sqrt(-4*x^2 - 9)","A",0
479,1,59,0,0.737636," ","integrate((-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} - 9} x - \frac{9}{8} i \, \log\left(-\frac{8 \, x + 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) + \frac{9}{8} i \, \log\left(-\frac{8 \, x - 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right)"," ",0,"1/2*sqrt(-4*x^2 - 9)*x - 9/8*I*log(-(8*x + 4*I*sqrt(-4*x^2 - 9))/x) + 9/8*I*log(-(8*x - 4*I*sqrt(-4*x^2 - 9))/x)","C",0
480,1,52,0,1.101842," ","integrate(1/x*(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\sqrt{-4 \, x^{2} - 9} - \frac{3}{2} i \, \log\left(-\frac{6 \, {\left(i \, \sqrt{-4 \, x^{2} - 9} - 3\right)}}{x}\right) + \frac{3}{2} i \, \log\left(-\frac{6 \, {\left(-i \, \sqrt{-4 \, x^{2} - 9} - 3\right)}}{x}\right)"," ",0,"sqrt(-4*x^2 - 9) - 3/2*I*log(-6*(I*sqrt(-4*x^2 - 9) - 3)/x) + 3/2*I*log(-6*(-I*sqrt(-4*x^2 - 9) - 3)/x)","C",0
481,1,64,0,0.805334," ","integrate((-4*x^2-9)^(1/2)/x^2,x, algorithm=""fricas"")","\frac{-i \, x \log\left(-\frac{8 \, x + 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) + i \, x \log\left(-\frac{8 \, x - 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) - \sqrt{-4 \, x^{2} - 9}}{x}"," ",0,"(-I*x*log(-(8*x + 4*I*sqrt(-4*x^2 - 9))/x) + I*x*log(-(8*x - 4*I*sqrt(-4*x^2 - 9))/x) - sqrt(-4*x^2 - 9))/x","C",0
482,1,65,0,1.011618," ","integrate((-4*x^2-9)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{-2 i \, x^{2} \log\left(-\frac{4 \, {\left(i \, \sqrt{-4 \, x^{2} - 9} - 3\right)}}{3 \, x}\right) + 2 i \, x^{2} \log\left(-\frac{4 \, {\left(-i \, \sqrt{-4 \, x^{2} - 9} - 3\right)}}{3 \, x}\right) - 3 \, \sqrt{-4 \, x^{2} - 9}}{6 \, x^{2}}"," ",0,"1/6*(-2*I*x^2*log(-4/3*(I*sqrt(-4*x^2 - 9) - 3)/x) + 2*I*x^2*log(-4/3*(-I*sqrt(-4*x^2 - 9) - 3)/x) - 3*sqrt(-4*x^2 - 9))/x^2","C",0
483,1,14,0,0.694187," ","integrate((-4*x^2-9)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{{\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{27 \, x^{3}}"," ",0,"1/27*(-4*x^2 - 9)^(3/2)/x^3","A",0
484,1,72,0,1.055681," ","integrate((-4*x^2-9)^(1/2)/x^5,x, algorithm=""fricas"")","\frac{-4 i \, x^{4} \log\left(-\frac{4 \, {\left(i \, \sqrt{-4 \, x^{2} - 9} + 3\right)}}{27 \, x}\right) + 4 i \, x^{4} \log\left(-\frac{4 \, {\left(-i \, \sqrt{-4 \, x^{2} - 9} + 3\right)}}{27 \, x}\right) - 3 \, {\left(2 \, x^{2} + 9\right)} \sqrt{-4 \, x^{2} - 9}}{108 \, x^{4}}"," ",0,"1/108*(-4*I*x^4*log(-4/27*(I*sqrt(-4*x^2 - 9) + 3)/x) + 4*I*x^4*log(-4/27*(-I*sqrt(-4*x^2 - 9) + 3)/x) - 3*(2*x^2 + 9)*sqrt(-4*x^2 - 9))/x^4","C",0
485,1,35,0,0.801418," ","integrate(x^5/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{2} x^{4} - 4 \, a b x^{2} + 8 \, a^{2}\right)} \sqrt{b x^{2} + a}}{15 \, b^{3}}"," ",0,"1/15*(3*b^2*x^4 - 4*a*b*x^2 + 8*a^2)*sqrt(b*x^2 + a)/b^3","A",0
486,1,124,0,0.677557," ","integrate(x^4/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(2 \, b^{2} x^{3} - 3 \, a b x\right)} \sqrt{b x^{2} + a}}{16 \, b^{3}}, -\frac{3 \, a^{2} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) - {\left(2 \, b^{2} x^{3} - 3 \, a b x\right)} \sqrt{b x^{2} + a}}{8 \, b^{3}}\right]"," ",0,"[1/16*(3*a^2*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(2*b^2*x^3 - 3*a*b*x)*sqrt(b*x^2 + a))/b^3, -1/8*(3*a^2*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) - (2*b^2*x^3 - 3*a*b*x)*sqrt(b*x^2 + a))/b^3]","A",0
487,1,23,0,1.104113," ","integrate(x^3/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2} + a} {\left(b x^{2} - 2 \, a\right)}}{3 \, b^{2}}"," ",0,"1/3*sqrt(b*x^2 + a)*(b*x^2 - 2*a)/b^2","A",0
488,1,93,0,1.253276," ","integrate(x^2/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b x^{2} + a} b x + a \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right)}{4 \, b^{2}}, \frac{\sqrt{b x^{2} + a} b x + a \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right)}{2 \, b^{2}}\right]"," ",0,"[1/4*(2*sqrt(b*x^2 + a)*b*x + a*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a))/b^2, 1/2*(sqrt(b*x^2 + a)*b*x + a*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)))/b^2]","A",0
489,1,13,0,1.037504," ","integrate(x/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2} + a}}{b}"," ",0,"sqrt(b*x^2 + a)/b","A",0
490,1,59,0,1.342355," ","integrate(1/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right)}{2 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right)}{b}\right]"," ",0,"[1/2*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a)/sqrt(b), -sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a))/b]","A",0
491,1,60,0,0.895670," ","integrate(1/x/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right)}{a}\right]"," ",0,"[1/2*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2)/sqrt(a), sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a))/a]","A",0
492,1,17,0,1.161902," ","integrate(1/x^2/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x^{2} + a}}{a x}"," ",0,"-sqrt(b*x^2 + a)/(a*x)","A",0
493,1,105,0,1.380812," ","integrate(1/x^3/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x^{2} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, \sqrt{b x^{2} + a} a}{4 \, a^{2} x^{2}}, -\frac{\sqrt{-a} b x^{2} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + \sqrt{b x^{2} + a} a}{2 \, a^{2} x^{2}}\right]"," ",0,"[1/4*(sqrt(a)*b*x^2*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*sqrt(b*x^2 + a)*a)/(a^2*x^2), -1/2*(sqrt(-a)*b*x^2*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + sqrt(b*x^2 + a)*a)/(a^2*x^2)]","A",0
494,1,27,0,1.661387," ","integrate(1/x^4/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b x^{2} - a\right)} \sqrt{b x^{2} + a}}{3 \, a^{2} x^{3}}"," ",0,"1/3*(2*b*x^2 - a)*sqrt(b*x^2 + a)/(a^2*x^3)","A",0
495,1,135,0,0.898566," ","integrate(1/x^5/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} x^{4} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(3 \, a b x^{2} - 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{16 \, a^{3} x^{4}}, \frac{3 \, \sqrt{-a} b^{2} x^{4} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(3 \, a b x^{2} - 2 \, a^{2}\right)} \sqrt{b x^{2} + a}}{8 \, a^{3} x^{4}}\right]"," ",0,"[1/16*(3*sqrt(a)*b^2*x^4*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(3*a*b*x^2 - 2*a^2)*sqrt(b*x^2 + a))/(a^3*x^4), 1/8*(3*sqrt(-a)*b^2*x^4*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (3*a*b*x^2 - 2*a^2)*sqrt(b*x^2 + a))/(a^3*x^4)]","A",0
496,1,46,0,0.998986," ","integrate(x^5/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{4} - 4 \, a b x^{2} - 8 \, a^{2}\right)} \sqrt{b x^{2} + a}}{3 \, {\left(b^{4} x^{2} + a b^{3}\right)}}"," ",0,"1/3*(b^2*x^4 - 4*a*b*x^2 - 8*a^2)*sqrt(b*x^2 + a)/(b^4*x^2 + a*b^3)","A",0
497,1,159,0,1.283551," ","integrate(x^4/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(a b x^{2} + a^{2}\right)} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(b^{2} x^{3} + 3 \, a b x\right)} \sqrt{b x^{2} + a}}{4 \, {\left(b^{4} x^{2} + a b^{3}\right)}}, \frac{3 \, {\left(a b x^{2} + a^{2}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(b^{2} x^{3} + 3 \, a b x\right)} \sqrt{b x^{2} + a}}{2 \, {\left(b^{4} x^{2} + a b^{3}\right)}}\right]"," ",0,"[1/4*(3*(a*b*x^2 + a^2)*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(b^2*x^3 + 3*a*b*x)*sqrt(b*x^2 + a))/(b^4*x^2 + a*b^3), 1/2*(3*(a*b*x^2 + a^2)*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (b^2*x^3 + 3*a*b*x)*sqrt(b*x^2 + a))/(b^4*x^2 + a*b^3)]","A",0
498,1,34,0,0.919961," ","integrate(x^3/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{{\left(b x^{2} + 2 \, a\right)} \sqrt{b x^{2} + a}}{b^{3} x^{2} + a b^{2}}"," ",0,"(b*x^2 + 2*a)*sqrt(b*x^2 + a)/(b^3*x^2 + a*b^2)","A",0
499,1,130,0,0.756217," ","integrate(x^2/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{2 \, \sqrt{b x^{2} + a} b x - {\left(b x^{2} + a\right)} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right)}{2 \, {\left(b^{3} x^{2} + a b^{2}\right)}}, -\frac{\sqrt{b x^{2} + a} b x + {\left(b x^{2} + a\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right)}{b^{3} x^{2} + a b^{2}}\right]"," ",0,"[-1/2*(2*sqrt(b*x^2 + a)*b*x - (b*x^2 + a)*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a))/(b^3*x^2 + a*b^2), -(sqrt(b*x^2 + a)*b*x + (b*x^2 + a)*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)))/(b^3*x^2 + a*b^2)]","A",0
500,1,24,0,0.968026," ","integrate(x/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x^{2} + a}}{b^{2} x^{2} + a b}"," ",0,"-sqrt(b*x^2 + a)/(b^2*x^2 + a*b)","A",0
501,1,23,0,1.039931," ","integrate(1/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2} + a} x}{a b x^{2} + a^{2}}"," ",0,"sqrt(b*x^2 + a)*x/(a*b*x^2 + a^2)","A",0
502,1,126,0,0.610590," ","integrate(1/x/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b x^{2} + a\right)} \sqrt{a} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, \sqrt{b x^{2} + a} a}{2 \, {\left(a^{2} b x^{2} + a^{3}\right)}}, \frac{{\left(b x^{2} + a\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + \sqrt{b x^{2} + a} a}{a^{2} b x^{2} + a^{3}}\right]"," ",0,"[1/2*((b*x^2 + a)*sqrt(a)*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*sqrt(b*x^2 + a)*a)/(a^2*b*x^2 + a^3), ((b*x^2 + a)*sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + sqrt(b*x^2 + a)*a)/(a^2*b*x^2 + a^3)]","A",0
503,1,35,0,1.036547," ","integrate(1/x^2/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b x^{2} + a\right)} \sqrt{b x^{2} + a}}{a^{2} b x^{3} + a^{3} x}"," ",0,"-(2*b*x^2 + a)*sqrt(b*x^2 + a)/(a^2*b*x^3 + a^3*x)","A",0
504,1,171,0,1.116176," ","integrate(1/x^3/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \sqrt{a} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(3 \, a b x^{2} + a^{2}\right)} \sqrt{b x^{2} + a}}{4 \, {\left(a^{3} b x^{4} + a^{4} x^{2}\right)}}, -\frac{3 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(3 \, a b x^{2} + a^{2}\right)} \sqrt{b x^{2} + a}}{2 \, {\left(a^{3} b x^{4} + a^{4} x^{2}\right)}}\right]"," ",0,"[1/4*(3*(b^2*x^4 + a*b*x^2)*sqrt(a)*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(3*a*b*x^2 + a^2)*sqrt(b*x^2 + a))/(a^3*b*x^4 + a^4*x^2), -1/2*(3*(b^2*x^4 + a*b*x^2)*sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (3*a*b*x^2 + a^2)*sqrt(b*x^2 + a))/(a^3*b*x^4 + a^4*x^2)]","A",0
505,1,50,0,0.739329," ","integrate(1/x^4/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{{\left(8 \, b^{2} x^{4} + 4 \, a b x^{2} - a^{2}\right)} \sqrt{b x^{2} + a}}{3 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)}}"," ",0,"1/3*(8*b^2*x^4 + 4*a*b*x^2 - a^2)*sqrt(b*x^2 + a)/(a^3*b*x^5 + a^4*x^3)","A",0
506,1,227,0,1.170999," ","integrate(x^6/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(a b^{2} x^{4} + 2 \, a^{2} b x^{2} + a^{3}\right)} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(3 \, b^{3} x^{5} + 20 \, a b^{2} x^{3} + 15 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{12 \, {\left(b^{6} x^{4} + 2 \, a b^{5} x^{2} + a^{2} b^{4}\right)}}, \frac{15 \, {\left(a b^{2} x^{4} + 2 \, a^{2} b x^{2} + a^{3}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(3 \, b^{3} x^{5} + 20 \, a b^{2} x^{3} + 15 \, a^{2} b x\right)} \sqrt{b x^{2} + a}}{6 \, {\left(b^{6} x^{4} + 2 \, a b^{5} x^{2} + a^{2} b^{4}\right)}}\right]"," ",0,"[1/12*(15*(a*b^2*x^4 + 2*a^2*b*x^2 + a^3)*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(3*b^3*x^5 + 20*a*b^2*x^3 + 15*a^2*b*x)*sqrt(b*x^2 + a))/(b^6*x^4 + 2*a*b^5*x^2 + a^2*b^4), 1/6*(15*(a*b^2*x^4 + 2*a^2*b*x^2 + a^3)*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (3*b^3*x^5 + 20*a*b^2*x^3 + 15*a^2*b*x)*sqrt(b*x^2 + a))/(b^6*x^4 + 2*a*b^5*x^2 + a^2*b^4)]","A",0
507,1,58,0,1.138874," ","integrate(x^5/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{2} x^{4} + 12 \, a b x^{2} + 8 \, a^{2}\right)} \sqrt{b x^{2} + a}}{3 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}}"," ",0,"1/3*(3*b^2*x^4 + 12*a*b*x^2 + 8*a^2)*sqrt(b*x^2 + a)/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3)","A",0
508,1,199,0,0.719073," ","integrate(x^4/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) - 2 \, {\left(4 \, b^{2} x^{3} + 3 \, a b x\right)} \sqrt{b x^{2} + a}}{6 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}}, -\frac{3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(4 \, b^{2} x^{3} + 3 \, a b x\right)} \sqrt{b x^{2} + a}}{3 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}}\right]"," ",0,"[1/6*(3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) - 2*(4*b^2*x^3 + 3*a*b*x)*sqrt(b*x^2 + a))/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3), -1/3*(3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (4*b^2*x^3 + 3*a*b*x)*sqrt(b*x^2 + a))/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3)]","A",0
509,1,47,0,0.877041," ","integrate(x^3/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, b x^{2} + 2 \, a\right)} \sqrt{b x^{2} + a}}{3 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)}}"," ",0,"-1/3*(3*b*x^2 + 2*a)*sqrt(b*x^2 + a)/(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2)","A",0
510,1,37,0,1.108046," ","integrate(x^2/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2} + a} x^{3}}{3 \, {\left(a b^{2} x^{4} + 2 \, a^{2} b x^{2} + a^{3}\right)}}"," ",0,"1/3*sqrt(b*x^2 + a)*x^3/(a*b^2*x^4 + 2*a^2*b*x^2 + a^3)","B",0
511,1,35,0,0.493994," ","integrate(x/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x^{2} + a}}{3 \, {\left(b^{3} x^{4} + 2 \, a b^{2} x^{2} + a^{2} b\right)}}"," ",0,"-1/3*sqrt(b*x^2 + a)/(b^3*x^4 + 2*a*b^2*x^2 + a^2*b)","B",0
512,1,47,0,1.061388," ","integrate(1/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b x^{3} + 3 \, a x\right)} \sqrt{b x^{2} + a}}{3 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)}}"," ",0,"1/3*(2*b*x^3 + 3*a*x)*sqrt(b*x^2 + a)/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4)","A",0
513,1,197,0,1.022478," ","integrate(1/x/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{a} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(3 \, a b x^{2} + 4 \, a^{2}\right)} \sqrt{b x^{2} + a}}{6 \, {\left(a^{3} b^{2} x^{4} + 2 \, a^{4} b x^{2} + a^{5}\right)}}, \frac{3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(3 \, a b x^{2} + 4 \, a^{2}\right)} \sqrt{b x^{2} + a}}{3 \, {\left(a^{3} b^{2} x^{4} + 2 \, a^{4} b x^{2} + a^{5}\right)}}\right]"," ",0,"[1/6*(3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(a)*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(3*a*b*x^2 + 4*a^2)*sqrt(b*x^2 + a))/(a^3*b^2*x^4 + 2*a^4*b*x^2 + a^5), 1/3*(3*(b^2*x^4 + 2*a*b*x^2 + a^2)*sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (3*a*b*x^2 + 4*a^2)*sqrt(b*x^2 + a))/(a^3*b^2*x^4 + 2*a^4*b*x^2 + a^5)]","A",0
514,1,59,0,0.629028," ","integrate(1/x^2/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(8 \, b^{2} x^{4} + 12 \, a b x^{2} + 3 \, a^{2}\right)} \sqrt{b x^{2} + a}}{3 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)}}"," ",0,"-1/3*(8*b^2*x^4 + 12*a*b*x^2 + 3*a^2)*sqrt(b*x^2 + a)/(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x)","A",0
515,1,241,0,0.675603," ","integrate(1/x^3/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{3} x^{6} + 2 \, a b^{2} x^{4} + a^{2} b x^{2}\right)} \sqrt{a} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(15 \, a b^{2} x^{4} + 20 \, a^{2} b x^{2} + 3 \, a^{3}\right)} \sqrt{b x^{2} + a}}{12 \, {\left(a^{4} b^{2} x^{6} + 2 \, a^{5} b x^{4} + a^{6} x^{2}\right)}}, -\frac{15 \, {\left(b^{3} x^{6} + 2 \, a b^{2} x^{4} + a^{2} b x^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(15 \, a b^{2} x^{4} + 20 \, a^{2} b x^{2} + 3 \, a^{3}\right)} \sqrt{b x^{2} + a}}{6 \, {\left(a^{4} b^{2} x^{6} + 2 \, a^{5} b x^{4} + a^{6} x^{2}\right)}}\right]"," ",0,"[1/12*(15*(b^3*x^6 + 2*a*b^2*x^4 + a^2*b*x^2)*sqrt(a)*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(15*a*b^2*x^4 + 20*a^2*b*x^2 + 3*a^3)*sqrt(b*x^2 + a))/(a^4*b^2*x^6 + 2*a^5*b*x^4 + a^6*x^2), -1/6*(15*(b^3*x^6 + 2*a*b^2*x^4 + a^2*b*x^2)*sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (15*a*b^2*x^4 + 20*a^2*b*x^2 + 3*a^3)*sqrt(b*x^2 + a))/(a^4*b^2*x^6 + 2*a^5*b*x^4 + a^6*x^2)]","A",0
516,1,72,0,1.163121," ","integrate(1/x^4/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(16 \, b^{3} x^{6} + 24 \, a b^{2} x^{4} + 6 \, a^{2} b x^{2} - a^{3}\right)} \sqrt{b x^{2} + a}}{3 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)}}"," ",0,"1/3*(16*b^3*x^6 + 24*a*b^2*x^4 + 6*a^2*b*x^2 - a^3)*sqrt(b*x^2 + a)/(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3)","A",0
517,1,359,0,2.110250," ","integrate(x^10/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, {\left(a b^{4} x^{8} + 4 \, a^{2} b^{3} x^{6} + 6 \, a^{3} b^{2} x^{4} + 4 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) + 2 \, {\left(35 \, b^{5} x^{9} + 528 \, a b^{4} x^{7} + 1218 \, a^{2} b^{3} x^{5} + 1050 \, a^{3} b^{2} x^{3} + 315 \, a^{4} b x\right)} \sqrt{b x^{2} + a}}{140 \, {\left(b^{10} x^{8} + 4 \, a b^{9} x^{6} + 6 \, a^{2} b^{8} x^{4} + 4 \, a^{3} b^{7} x^{2} + a^{4} b^{6}\right)}}, \frac{315 \, {\left(a b^{4} x^{8} + 4 \, a^{2} b^{3} x^{6} + 6 \, a^{3} b^{2} x^{4} + 4 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(35 \, b^{5} x^{9} + 528 \, a b^{4} x^{7} + 1218 \, a^{2} b^{3} x^{5} + 1050 \, a^{3} b^{2} x^{3} + 315 \, a^{4} b x\right)} \sqrt{b x^{2} + a}}{70 \, {\left(b^{10} x^{8} + 4 \, a b^{9} x^{6} + 6 \, a^{2} b^{8} x^{4} + 4 \, a^{3} b^{7} x^{2} + a^{4} b^{6}\right)}}\right]"," ",0,"[1/140*(315*(a*b^4*x^8 + 4*a^2*b^3*x^6 + 6*a^3*b^2*x^4 + 4*a^4*b*x^2 + a^5)*sqrt(b)*log(-2*b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) + 2*(35*b^5*x^9 + 528*a*b^4*x^7 + 1218*a^2*b^3*x^5 + 1050*a^3*b^2*x^3 + 315*a^4*b*x)*sqrt(b*x^2 + a))/(b^10*x^8 + 4*a*b^9*x^6 + 6*a^2*b^8*x^4 + 4*a^3*b^7*x^2 + a^4*b^6), 1/70*(315*(a*b^4*x^8 + 4*a^2*b^3*x^6 + 6*a^3*b^2*x^4 + 4*a^4*b*x^2 + a^5)*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (35*b^5*x^9 + 528*a*b^4*x^7 + 1218*a^2*b^3*x^5 + 1050*a^3*b^2*x^3 + 315*a^4*b*x)*sqrt(b*x^2 + a))/(b^10*x^8 + 4*a*b^9*x^6 + 6*a^2*b^8*x^4 + 4*a^3*b^7*x^2 + a^4*b^6)]","A",0
518,1,102,0,1.292701," ","integrate(x^9/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(35 \, b^{4} x^{8} + 280 \, a b^{3} x^{6} + 560 \, a^{2} b^{2} x^{4} + 448 \, a^{3} b x^{2} + 128 \, a^{4}\right)} \sqrt{b x^{2} + a}}{35 \, {\left(b^{9} x^{8} + 4 \, a b^{8} x^{6} + 6 \, a^{2} b^{7} x^{4} + 4 \, a^{3} b^{6} x^{2} + a^{4} b^{5}\right)}}"," ",0,"1/35*(35*b^4*x^8 + 280*a*b^3*x^6 + 560*a^2*b^2*x^4 + 448*a^3*b*x^2 + 128*a^4)*sqrt(b*x^2 + a)/(b^9*x^8 + 4*a*b^8*x^6 + 6*a^2*b^7*x^4 + 4*a^3*b^6*x^2 + a^4*b^5)","A",0
519,1,331,0,2.085961," ","integrate(x^8/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{4} x^{8} + 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} + 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{b} \log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right) - 2 \, {\left(176 \, b^{4} x^{7} + 406 \, a b^{3} x^{5} + 350 \, a^{2} b^{2} x^{3} + 105 \, a^{3} b x\right)} \sqrt{b x^{2} + a}}{210 \, {\left(b^{9} x^{8} + 4 \, a b^{8} x^{6} + 6 \, a^{2} b^{7} x^{4} + 4 \, a^{3} b^{6} x^{2} + a^{4} b^{5}\right)}}, -\frac{105 \, {\left(b^{4} x^{8} + 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} + 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right) + {\left(176 \, b^{4} x^{7} + 406 \, a b^{3} x^{5} + 350 \, a^{2} b^{2} x^{3} + 105 \, a^{3} b x\right)} \sqrt{b x^{2} + a}}{105 \, {\left(b^{9} x^{8} + 4 \, a b^{8} x^{6} + 6 \, a^{2} b^{7} x^{4} + 4 \, a^{3} b^{6} x^{2} + a^{4} b^{5}\right)}}\right]"," ",0,"[1/210*(105*(b^4*x^8 + 4*a*b^3*x^6 + 6*a^2*b^2*x^4 + 4*a^3*b*x^2 + a^4)*sqrt(b)*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a) - 2*(176*b^4*x^7 + 406*a*b^3*x^5 + 350*a^2*b^2*x^3 + 105*a^3*b*x)*sqrt(b*x^2 + a))/(b^9*x^8 + 4*a*b^8*x^6 + 6*a^2*b^7*x^4 + 4*a^3*b^6*x^2 + a^4*b^5), -1/105*(105*(b^4*x^8 + 4*a*b^3*x^6 + 6*a^2*b^2*x^4 + 4*a^3*b*x^2 + a^4)*sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a)) + (176*b^4*x^7 + 406*a*b^3*x^5 + 350*a^2*b^2*x^3 + 105*a^3*b*x)*sqrt(b*x^2 + a))/(b^9*x^8 + 4*a*b^8*x^6 + 6*a^2*b^7*x^4 + 4*a^3*b^6*x^2 + a^4*b^5)]","A",0
520,1,91,0,0.904243," ","integrate(x^7/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(35 \, b^{3} x^{6} + 70 \, a b^{2} x^{4} + 56 \, a^{2} b x^{2} + 16 \, a^{3}\right)} \sqrt{b x^{2} + a}}{35 \, {\left(b^{8} x^{8} + 4 \, a b^{7} x^{6} + 6 \, a^{2} b^{6} x^{4} + 4 \, a^{3} b^{5} x^{2} + a^{4} b^{4}\right)}}"," ",0,"-1/35*(35*b^3*x^6 + 70*a*b^2*x^4 + 56*a^2*b*x^2 + 16*a^3)*sqrt(b*x^2 + a)/(b^8*x^8 + 4*a*b^7*x^6 + 6*a^2*b^6*x^4 + 4*a^3*b^5*x^2 + a^4*b^4)","A",0
521,1,59,0,1.522134," ","integrate(x^6/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2} + a} x^{7}}{7 \, {\left(a b^{4} x^{8} + 4 \, a^{2} b^{3} x^{6} + 6 \, a^{3} b^{2} x^{4} + 4 \, a^{4} b x^{2} + a^{5}\right)}}"," ",0,"1/7*sqrt(b*x^2 + a)*x^7/(a*b^4*x^8 + 4*a^2*b^3*x^6 + 6*a^3*b^2*x^4 + 4*a^4*b*x^2 + a^5)","B",0
522,1,80,0,0.754587," ","integrate(x^5/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(35 \, b^{2} x^{4} + 28 \, a b x^{2} + 8 \, a^{2}\right)} \sqrt{b x^{2} + a}}{105 \, {\left(b^{7} x^{8} + 4 \, a b^{6} x^{6} + 6 \, a^{2} b^{5} x^{4} + 4 \, a^{3} b^{4} x^{2} + a^{4} b^{3}\right)}}"," ",0,"-1/105*(35*b^2*x^4 + 28*a*b*x^2 + 8*a^2)*sqrt(b*x^2 + a)/(b^7*x^8 + 4*a*b^6*x^6 + 6*a^2*b^5*x^4 + 4*a^3*b^4*x^2 + a^4*b^3)","A",0
523,1,71,0,0.829547," ","integrate(x^4/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b x^{7} + 7 \, a x^{5}\right)} \sqrt{b x^{2} + a}}{35 \, {\left(a^{2} b^{4} x^{8} + 4 \, a^{3} b^{3} x^{6} + 6 \, a^{4} b^{2} x^{4} + 4 \, a^{5} b x^{2} + a^{6}\right)}}"," ",0,"1/35*(2*b*x^7 + 7*a*x^5)*sqrt(b*x^2 + a)/(a^2*b^4*x^8 + 4*a^3*b^3*x^6 + 6*a^4*b^2*x^4 + 4*a^5*b*x^2 + a^6)","A",0
524,1,69,0,0.938006," ","integrate(x^3/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(7 \, b x^{2} + 2 \, a\right)} \sqrt{b x^{2} + a}}{35 \, {\left(b^{6} x^{8} + 4 \, a b^{5} x^{6} + 6 \, a^{2} b^{4} x^{4} + 4 \, a^{3} b^{3} x^{2} + a^{4} b^{2}\right)}}"," ",0,"-1/35*(7*b*x^2 + 2*a)*sqrt(b*x^2 + a)/(b^6*x^8 + 4*a*b^5*x^6 + 6*a^2*b^4*x^4 + 4*a^3*b^3*x^2 + a^4*b^2)","B",0
525,1,82,0,0.776767," ","integrate(x^2/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(8 \, b^{2} x^{7} + 28 \, a b x^{5} + 35 \, a^{2} x^{3}\right)} \sqrt{b x^{2} + a}}{105 \, {\left(a^{3} b^{4} x^{8} + 4 \, a^{4} b^{3} x^{6} + 6 \, a^{5} b^{2} x^{4} + 4 \, a^{6} b x^{2} + a^{7}\right)}}"," ",0,"1/105*(8*b^2*x^7 + 28*a*b*x^5 + 35*a^2*x^3)*sqrt(b*x^2 + a)/(a^3*b^4*x^8 + 4*a^4*b^3*x^6 + 6*a^5*b^2*x^4 + 4*a^6*b*x^2 + a^7)","A",0
526,1,57,0,0.944876," ","integrate(x/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x^{2} + a}}{7 \, {\left(b^{5} x^{8} + 4 \, a b^{4} x^{6} + 6 \, a^{2} b^{3} x^{4} + 4 \, a^{3} b^{2} x^{2} + a^{4} b\right)}}"," ",0,"-1/7*sqrt(b*x^2 + a)/(b^5*x^8 + 4*a*b^4*x^6 + 6*a^2*b^3*x^4 + 4*a^3*b^2*x^2 + a^4*b)","B",0
527,1,91,0,1.077720," ","integrate(1/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(16 \, b^{3} x^{7} + 56 \, a b^{2} x^{5} + 70 \, a^{2} b x^{3} + 35 \, a^{3} x\right)} \sqrt{b x^{2} + a}}{35 \, {\left(a^{4} b^{4} x^{8} + 4 \, a^{5} b^{3} x^{6} + 6 \, a^{6} b^{2} x^{4} + 4 \, a^{7} b x^{2} + a^{8}\right)}}"," ",0,"1/35*(16*b^3*x^7 + 56*a*b^2*x^5 + 70*a^2*b*x^3 + 35*a^3*x)*sqrt(b*x^2 + a)/(a^4*b^4*x^8 + 4*a^5*b^3*x^6 + 6*a^6*b^2*x^4 + 4*a^7*b*x^2 + a^8)","A",0
528,1,329,0,1.006460," ","integrate(1/x/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{4} x^{8} + 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} + 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{a} \log\left(-\frac{b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) + 2 \, {\left(105 \, a b^{3} x^{6} + 350 \, a^{2} b^{2} x^{4} + 406 \, a^{3} b x^{2} + 176 \, a^{4}\right)} \sqrt{b x^{2} + a}}{210 \, {\left(a^{5} b^{4} x^{8} + 4 \, a^{6} b^{3} x^{6} + 6 \, a^{7} b^{2} x^{4} + 4 \, a^{8} b x^{2} + a^{9}\right)}}, \frac{105 \, {\left(b^{4} x^{8} + 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} + 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(105 \, a b^{3} x^{6} + 350 \, a^{2} b^{2} x^{4} + 406 \, a^{3} b x^{2} + 176 \, a^{4}\right)} \sqrt{b x^{2} + a}}{105 \, {\left(a^{5} b^{4} x^{8} + 4 \, a^{6} b^{3} x^{6} + 6 \, a^{7} b^{2} x^{4} + 4 \, a^{8} b x^{2} + a^{9}\right)}}\right]"," ",0,"[1/210*(105*(b^4*x^8 + 4*a*b^3*x^6 + 6*a^2*b^2*x^4 + 4*a^3*b*x^2 + a^4)*sqrt(a)*log(-(b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) + 2*(105*a*b^3*x^6 + 350*a^2*b^2*x^4 + 406*a^3*b*x^2 + 176*a^4)*sqrt(b*x^2 + a))/(a^5*b^4*x^8 + 4*a^6*b^3*x^6 + 6*a^7*b^2*x^4 + 4*a^8*b*x^2 + a^9), 1/105*(105*(b^4*x^8 + 4*a*b^3*x^6 + 6*a^2*b^2*x^4 + 4*a^3*b*x^2 + a^4)*sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (105*a*b^3*x^6 + 350*a^2*b^2*x^4 + 406*a^3*b*x^2 + 176*a^4)*sqrt(b*x^2 + a))/(a^5*b^4*x^8 + 4*a^6*b^3*x^6 + 6*a^7*b^2*x^4 + 4*a^8*b*x^2 + a^9)]","B",0
529,1,103,0,1.611876," ","integrate(1/x^2/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(128 \, b^{4} x^{8} + 448 \, a b^{3} x^{6} + 560 \, a^{2} b^{2} x^{4} + 280 \, a^{3} b x^{2} + 35 \, a^{4}\right)} \sqrt{b x^{2} + a}}{35 \, {\left(a^{5} b^{4} x^{9} + 4 \, a^{6} b^{3} x^{7} + 6 \, a^{7} b^{2} x^{5} + 4 \, a^{8} b x^{3} + a^{9} x\right)}}"," ",0,"-1/35*(128*b^4*x^8 + 448*a*b^3*x^6 + 560*a^2*b^2*x^4 + 280*a^3*b*x^2 + 35*a^4)*sqrt(b*x^2 + a)/(a^5*b^4*x^9 + 4*a^6*b^3*x^7 + 6*a^7*b^2*x^5 + 4*a^8*b*x^3 + a^9*x)","A",0
530,1,373,0,0.995008," ","integrate(1/x^3/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, {\left(b^{5} x^{10} + 4 \, a b^{4} x^{8} + 6 \, a^{2} b^{3} x^{6} + 4 \, a^{3} b^{2} x^{4} + a^{4} b x^{2}\right)} \sqrt{a} \log\left(-\frac{b x^{2} + 2 \, \sqrt{b x^{2} + a} \sqrt{a} + 2 \, a}{x^{2}}\right) - 2 \, {\left(315 \, a b^{4} x^{8} + 1050 \, a^{2} b^{3} x^{6} + 1218 \, a^{3} b^{2} x^{4} + 528 \, a^{4} b x^{2} + 35 \, a^{5}\right)} \sqrt{b x^{2} + a}}{140 \, {\left(a^{6} b^{4} x^{10} + 4 \, a^{7} b^{3} x^{8} + 6 \, a^{8} b^{2} x^{6} + 4 \, a^{9} b x^{4} + a^{10} x^{2}\right)}}, -\frac{315 \, {\left(b^{5} x^{10} + 4 \, a b^{4} x^{8} + 6 \, a^{2} b^{3} x^{6} + 4 \, a^{3} b^{2} x^{4} + a^{4} b x^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{b x^{2} + a}}\right) + {\left(315 \, a b^{4} x^{8} + 1050 \, a^{2} b^{3} x^{6} + 1218 \, a^{3} b^{2} x^{4} + 528 \, a^{4} b x^{2} + 35 \, a^{5}\right)} \sqrt{b x^{2} + a}}{70 \, {\left(a^{6} b^{4} x^{10} + 4 \, a^{7} b^{3} x^{8} + 6 \, a^{8} b^{2} x^{6} + 4 \, a^{9} b x^{4} + a^{10} x^{2}\right)}}\right]"," ",0,"[1/140*(315*(b^5*x^10 + 4*a*b^4*x^8 + 6*a^2*b^3*x^6 + 4*a^3*b^2*x^4 + a^4*b*x^2)*sqrt(a)*log(-(b*x^2 + 2*sqrt(b*x^2 + a)*sqrt(a) + 2*a)/x^2) - 2*(315*a*b^4*x^8 + 1050*a^2*b^3*x^6 + 1218*a^3*b^2*x^4 + 528*a^4*b*x^2 + 35*a^5)*sqrt(b*x^2 + a))/(a^6*b^4*x^10 + 4*a^7*b^3*x^8 + 6*a^8*b^2*x^6 + 4*a^9*b*x^4 + a^10*x^2), -1/70*(315*(b^5*x^10 + 4*a*b^4*x^8 + 6*a^2*b^3*x^6 + 4*a^3*b^2*x^4 + a^4*b*x^2)*sqrt(-a)*arctan(sqrt(-a)/sqrt(b*x^2 + a)) + (315*a*b^4*x^8 + 1050*a^2*b^3*x^6 + 1218*a^3*b^2*x^4 + 528*a^4*b*x^2 + 35*a^5)*sqrt(b*x^2 + a))/(a^6*b^4*x^10 + 4*a^7*b^3*x^8 + 6*a^8*b^2*x^6 + 4*a^9*b*x^4 + a^10*x^2)]","A",0
531,1,116,0,1.158318," ","integrate(1/x^4/(b*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(256 \, b^{5} x^{10} + 896 \, a b^{4} x^{8} + 1120 \, a^{2} b^{3} x^{6} + 560 \, a^{3} b^{2} x^{4} + 70 \, a^{4} b x^{2} - 7 \, a^{5}\right)} \sqrt{b x^{2} + a}}{21 \, {\left(a^{6} b^{4} x^{11} + 4 \, a^{7} b^{3} x^{9} + 6 \, a^{8} b^{2} x^{7} + 4 \, a^{9} b x^{5} + a^{10} x^{3}\right)}}"," ",0,"1/21*(256*b^5*x^10 + 896*a*b^4*x^8 + 1120*a^2*b^3*x^6 + 560*a^3*b^2*x^4 + 70*a^4*b*x^2 - 7*a^5)*sqrt(b*x^2 + a)/(a^6*b^4*x^11 + 4*a^7*b^3*x^9 + 6*a^8*b^2*x^7 + 4*a^9*b*x^5 + a^10*x^3)","A",0
532,1,23,0,0.974202," ","integrate(x^5/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(2 \, x^{4} - 6 \, x^{2} + 27\right)} \sqrt{4 \, x^{2} + 9}"," ",0,"1/40*(2*x^4 - 6*x^2 + 27)*sqrt(4*x^2 + 9)","A",0
533,1,37,0,0.816469," ","integrate(x^4/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{128} \, {\left(8 \, x^{3} - 27 \, x\right)} \sqrt{4 \, x^{2} + 9} - \frac{243}{256} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/128*(8*x^3 - 27*x)*sqrt(4*x^2 + 9) - 243/256*log(-2*x + sqrt(4*x^2 + 9))","A",0
534,1,18,0,0.909722," ","integrate(x^3/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, \sqrt{4 \, x^{2} + 9} {\left(2 \, x^{2} - 9\right)}"," ",0,"1/24*sqrt(4*x^2 + 9)*(2*x^2 - 9)","A",0
535,1,29,0,0.907441," ","integrate(x^2/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{4 \, x^{2} + 9} x + \frac{9}{16} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/8*sqrt(4*x^2 + 9)*x + 9/16*log(-2*x + sqrt(4*x^2 + 9))","A",0
536,1,11,0,0.908890," ","integrate(x/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{4 \, x^{2} + 9}"," ",0,"1/4*sqrt(4*x^2 + 9)","A",0
537,1,16,0,0.883253," ","integrate(1/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"-1/2*log(-2*x + sqrt(4*x^2 + 9))","B",0
538,1,35,0,1.044191," ","integrate(1/x/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} + 3\right) + \frac{1}{3} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"-1/3*log(-2*x + sqrt(4*x^2 + 9) + 3) + 1/3*log(-2*x + sqrt(4*x^2 + 9) - 3)","B",0
539,1,18,0,0.903151," ","integrate(1/x^2/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, x + \sqrt{4 \, x^{2} + 9}}{9 \, x}"," ",0,"-1/9*(2*x + sqrt(4*x^2 + 9))/x","A",0
540,1,57,0,0.967686," ","integrate(1/x^3/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{4 \, x^{2} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} + 3\right) - 4 \, x^{2} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} - 3\right) - 3 \, \sqrt{4 \, x^{2} + 9}}{54 \, x^{2}}"," ",0,"1/54*(4*x^2*log(-2*x + sqrt(4*x^2 + 9) + 3) - 4*x^2*log(-2*x + sqrt(4*x^2 + 9) - 3) - 3*sqrt(4*x^2 + 9))/x^2","A",0
541,1,28,0,1.079075," ","integrate(1/x^4/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{16 \, x^{3} + {\left(8 \, x^{2} - 9\right)} \sqrt{4 \, x^{2} + 9}}{243 \, x^{3}}"," ",0,"1/243*(16*x^3 + (8*x^2 - 9)*sqrt(4*x^2 + 9))/x^3","A",0
542,1,64,0,0.913959," ","integrate(1/x^5/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{8 \, x^{4} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} + 3\right) - 8 \, x^{4} \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9} - 3\right) - 3 \, \sqrt{4 \, x^{2} + 9} {\left(2 \, x^{2} - 3\right)}}{324 \, x^{4}}"," ",0,"-1/324*(8*x^4*log(-2*x + sqrt(4*x^2 + 9) + 3) - 8*x^4*log(-2*x + sqrt(4*x^2 + 9) - 3) - 3*sqrt(4*x^2 + 9)*(2*x^2 - 3))/x^4","A",0
543,1,23,0,1.103745," ","integrate(x^5/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{40} \, {\left(2 \, x^{4} + 6 \, x^{2} + 27\right)} \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/40*(2*x^4 + 6*x^2 + 27)*sqrt(-4*x^2 + 9)","A",0
544,1,40,0,0.759368," ","integrate(x^4/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{128} \, {\left(8 \, x^{3} + 27 \, x\right)} \sqrt{-4 \, x^{2} + 9} - \frac{243}{128} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x}\right)"," ",0,"-1/128*(8*x^3 + 27*x)*sqrt(-4*x^2 + 9) - 243/128*arctan(1/2*(sqrt(-4*x^2 + 9) - 3)/x)","A",0
545,1,18,0,1.170729," ","integrate(x^3/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{24} \, {\left(2 \, x^{2} + 9\right)} \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/24*(2*x^2 + 9)*sqrt(-4*x^2 + 9)","A",0
546,1,32,0,0.945983," ","integrate(x^2/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{-4 \, x^{2} + 9} x - \frac{9}{8} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x}\right)"," ",0,"-1/8*sqrt(-4*x^2 + 9)*x - 9/8*arctan(1/2*(sqrt(-4*x^2 + 9) - 3)/x)","A",0
547,1,11,0,1.053321," ","integrate(x/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/4*sqrt(-4*x^2 + 9)","A",0
548,1,19,0,0.720310," ","integrate(1/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x}\right)"," ",0,"-arctan(1/2*(sqrt(-4*x^2 + 9) - 3)/x)","B",0
549,1,18,0,0.847474," ","integrate(1/x/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{x}\right)"," ",0,"1/3*log((sqrt(-4*x^2 + 9) - 3)/x)","A",0
550,1,14,0,1.089916," ","integrate(1/x^2/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-4 \, x^{2} + 9}}{9 \, x}"," ",0,"-1/9*sqrt(-4*x^2 + 9)/x","A",0
551,1,38,0,1.359483," ","integrate(1/x^3/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{4 \, x^{2} \log\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{x}\right) - 3 \, \sqrt{-4 \, x^{2} + 9}}{54 \, x^{2}}"," ",0,"1/54*(4*x^2*log((sqrt(-4*x^2 + 9) - 3)/x) - 3*sqrt(-4*x^2 + 9))/x^2","A",0
552,1,21,0,1.200435," ","integrate(1/x^4/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(8 \, x^{2} + 9\right)} \sqrt{-4 \, x^{2} + 9}}{243 \, x^{3}}"," ",0,"-1/243*(8*x^2 + 9)*sqrt(-4*x^2 + 9)/x^3","A",0
553,1,45,0,0.917676," ","integrate(1/x^5/(-4*x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{8 \, x^{4} \log\left(\frac{\sqrt{-4 \, x^{2} + 9} - 3}{x}\right) - 3 \, {\left(2 \, x^{2} + 3\right)} \sqrt{-4 \, x^{2} + 9}}{324 \, x^{4}}"," ",0,"1/324*(8*x^4*log((sqrt(-4*x^2 + 9) - 3)/x) - 3*(2*x^2 + 3)*sqrt(-4*x^2 + 9))/x^4","A",0
554,1,23,0,1.073733," ","integrate(x^5/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(2 \, x^{4} + 6 \, x^{2} + 27\right)} \sqrt{4 \, x^{2} - 9}"," ",0,"1/40*(2*x^4 + 6*x^2 + 27)*sqrt(4*x^2 - 9)","A",0
555,1,37,0,1.091715," ","integrate(x^4/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{128} \, {\left(8 \, x^{3} + 27 \, x\right)} \sqrt{4 \, x^{2} - 9} - \frac{243}{256} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/128*(8*x^3 + 27*x)*sqrt(4*x^2 - 9) - 243/256*log(-2*x + sqrt(4*x^2 - 9))","A",0
556,1,18,0,0.897278," ","integrate(x^3/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, \sqrt{4 \, x^{2} - 9} {\left(2 \, x^{2} + 9\right)}"," ",0,"1/24*sqrt(4*x^2 - 9)*(2*x^2 + 9)","A",0
557,1,29,0,0.961054," ","integrate(x^2/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{4 \, x^{2} - 9} x - \frac{9}{16} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/8*sqrt(4*x^2 - 9)*x - 9/16*log(-2*x + sqrt(4*x^2 - 9))","A",0
558,1,11,0,1.036550," ","integrate(x/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{4 \, x^{2} - 9}"," ",0,"1/4*sqrt(4*x^2 - 9)","A",0
559,1,16,0,0.708472," ","integrate(1/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} - 9}\right)"," ",0,"-1/2*log(-2*x + sqrt(4*x^2 - 9))","A",0
560,1,18,0,0.928542," ","integrate(1/x/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \arctan\left(-\frac{2}{3} \, x + \frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"2/3*arctan(-2/3*x + 1/3*sqrt(4*x^2 - 9))","A",0
561,1,18,0,0.888045," ","integrate(1/x^2/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{2 \, x + \sqrt{4 \, x^{2} - 9}}{9 \, x}"," ",0,"1/9*(2*x + sqrt(4*x^2 - 9))/x","A",0
562,1,38,0,1.391065," ","integrate(1/x^3/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{8 \, x^{2} \arctan\left(-\frac{2}{3} \, x + \frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right) + 3 \, \sqrt{4 \, x^{2} - 9}}{54 \, x^{2}}"," ",0,"1/54*(8*x^2*arctan(-2/3*x + 1/3*sqrt(4*x^2 - 9)) + 3*sqrt(4*x^2 - 9))/x^2","A",0
563,1,28,0,0.714997," ","integrate(1/x^4/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{16 \, x^{3} + {\left(8 \, x^{2} + 9\right)} \sqrt{4 \, x^{2} - 9}}{243 \, x^{3}}"," ",0,"1/243*(16*x^3 + (8*x^2 + 9)*sqrt(4*x^2 - 9))/x^3","A",0
564,1,45,0,1.111538," ","integrate(1/x^5/(4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{16 \, x^{4} \arctan\left(-\frac{2}{3} \, x + \frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right) + 3 \, \sqrt{4 \, x^{2} - 9} {\left(2 \, x^{2} + 3\right)}}{324 \, x^{4}}"," ",0,"1/324*(16*x^4*arctan(-2/3*x + 1/3*sqrt(4*x^2 - 9)) + 3*sqrt(4*x^2 - 9)*(2*x^2 + 3))/x^4","A",0
565,1,23,0,0.625539," ","integrate(x^5/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{40} \, {\left(2 \, x^{4} - 6 \, x^{2} + 27\right)} \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/40*(2*x^4 - 6*x^2 + 27)*sqrt(-4*x^2 - 9)","A",0
566,1,67,0,0.642423," ","integrate(x^4/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{128} \, {\left(8 \, x^{3} - 27 \, x\right)} \sqrt{-4 \, x^{2} - 9} + \frac{243}{512} i \, \log\left(-\frac{8 \, x + 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) - \frac{243}{512} i \, \log\left(-\frac{8 \, x - 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right)"," ",0,"-1/128*(8*x^3 - 27*x)*sqrt(-4*x^2 - 9) + 243/512*I*log(-(8*x + 4*I*sqrt(-4*x^2 - 9))/x) - 243/512*I*log(-(8*x - 4*I*sqrt(-4*x^2 - 9))/x)","C",0
567,1,18,0,0.949850," ","integrate(x^3/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{24} \, {\left(2 \, x^{2} - 9\right)} \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/24*(2*x^2 - 9)*sqrt(-4*x^2 - 9)","A",0
568,1,59,0,0.680194," ","integrate(x^2/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{-4 \, x^{2} - 9} x - \frac{9}{32} i \, \log\left(-\frac{8 \, x + 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) + \frac{9}{32} i \, \log\left(-\frac{8 \, x - 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right)"," ",0,"-1/8*sqrt(-4*x^2 - 9)*x - 9/32*I*log(-(8*x + 4*I*sqrt(-4*x^2 - 9))/x) + 9/32*I*log(-(8*x - 4*I*sqrt(-4*x^2 - 9))/x)","C",0
569,1,11,0,1.041186," ","integrate(x/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/4*sqrt(-4*x^2 - 9)","A",0
570,1,47,0,0.852046," ","integrate(1/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} i \, \log\left(-\frac{8 \, x + 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right) - \frac{1}{4} i \, \log\left(-\frac{8 \, x - 4 i \, \sqrt{-4 \, x^{2} - 9}}{x}\right)"," ",0,"1/4*I*log(-(8*x + 4*I*sqrt(-4*x^2 - 9))/x) - 1/4*I*log(-(8*x - 4*I*sqrt(-4*x^2 - 9))/x)","C",0
571,1,43,0,0.735035," ","integrate(1/x/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} i \, \log\left(-\frac{2 \, {\left(i \, \sqrt{-4 \, x^{2} - 9} + 3\right)}}{3 \, x}\right) + \frac{1}{6} i \, \log\left(-\frac{2 \, {\left(-i \, \sqrt{-4 \, x^{2} - 9} + 3\right)}}{3 \, x}\right)"," ",0,"-1/6*I*log(-2/3*(I*sqrt(-4*x^2 - 9) + 3)/x) + 1/6*I*log(-2/3*(-I*sqrt(-4*x^2 - 9) + 3)/x)","C",0
572,1,14,0,0.767508," ","integrate(1/x^2/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{-4 \, x^{2} - 9}}{9 \, x}"," ",0,"1/9*sqrt(-4*x^2 - 9)/x","A",0
573,1,65,0,0.729528," ","integrate(1/x^3/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{-2 i \, x^{2} \log\left(-\frac{4 \, {\left(i \, \sqrt{-4 \, x^{2} - 9} - 3\right)}}{27 \, x}\right) + 2 i \, x^{2} \log\left(-\frac{4 \, {\left(-i \, \sqrt{-4 \, x^{2} - 9} - 3\right)}}{27 \, x}\right) + 3 \, \sqrt{-4 \, x^{2} - 9}}{54 \, x^{2}}"," ",0,"1/54*(-2*I*x^2*log(-4/27*(I*sqrt(-4*x^2 - 9) - 3)/x) + 2*I*x^2*log(-4/27*(-I*sqrt(-4*x^2 - 9) - 3)/x) + 3*sqrt(-4*x^2 - 9))/x^2","C",0
574,1,21,0,0.889809," ","integrate(1/x^4/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(8 \, x^{2} - 9\right)} \sqrt{-4 \, x^{2} - 9}}{243 \, x^{3}}"," ",0,"-1/243*(8*x^2 - 9)*sqrt(-4*x^2 - 9)/x^3","A",0
575,1,72,0,0.871819," ","integrate(1/x^5/(-4*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{-4 i \, x^{4} \log\left(-\frac{4 \, {\left(i \, \sqrt{-4 \, x^{2} - 9} + 3\right)}}{81 \, x}\right) + 4 i \, x^{4} \log\left(-\frac{4 \, {\left(-i \, \sqrt{-4 \, x^{2} - 9} + 3\right)}}{81 \, x}\right) - 3 \, {\left(2 \, x^{2} - 3\right)} \sqrt{-4 \, x^{2} - 9}}{324 \, x^{4}}"," ",0,"1/324*(-4*I*x^4*log(-4/81*(I*sqrt(-4*x^2 - 9) + 3)/x) + 4*I*x^4*log(-4/81*(-I*sqrt(-4*x^2 - 9) + 3)/x) - 3*(2*x^2 - 3)*sqrt(-4*x^2 - 9))/x^4","C",0
576,1,65,0,0.704304," ","integrate(1/(b*x^2+9)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\sqrt{b} x - \sqrt{b x^{2} + 9}\right)}{\sqrt{b}}, -\frac{2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x^{2} + 9} \sqrt{-b} - 3 \, \sqrt{-b}}{b x}\right)}{b}\right]"," ",0,"[log(-sqrt(b)*x - sqrt(b*x^2 + 9))/sqrt(b), -2*sqrt(-b)*arctan((sqrt(b*x^2 + 9)*sqrt(-b) - 3*sqrt(-b))/(b*x))/b]","B",0
577,1,58,0,0.897274," ","integrate(1/(-b*x^2+9)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-\sqrt{-b} x - \sqrt{-b x^{2} + 9}\right)}{b}, -\frac{2 \, \arctan\left(\frac{\sqrt{-b x^{2} + 9} - 3}{\sqrt{b} x}\right)}{\sqrt{b}}\right]"," ",0,"[-sqrt(-b)*log(-sqrt(-b)*x - sqrt(-b*x^2 + 9))/b, -2*arctan((sqrt(-b*x^2 + 9) - 3)/(sqrt(b)*x))/sqrt(b)]","B",0
578,1,57,0,1.133363," ","integrate(1/(b*x^2-9)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(2 \, b x^{2} + 2 \, \sqrt{b x^{2} - 9} \sqrt{b} x - 9\right)}{2 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} - 9}}\right)}{b}\right]"," ",0,"[1/2*log(2*b*x^2 + 2*sqrt(b*x^2 - 9)*sqrt(b)*x - 9)/sqrt(b), -sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 - 9))/b]","A",0
579,1,68,0,0.916111," ","integrate(1/(-b*x^2-9)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{-b x^{2} - 9} \sqrt{-b} x - 9\right)}{2 \, b}, -\frac{\arctan\left(\frac{\sqrt{-b x^{2} - 9} \sqrt{b} x}{b x^{2} + 9}\right)}{\sqrt{b}}\right]"," ",0,"[-1/2*sqrt(-b)*log(-2*b*x^2 + 2*sqrt(-b*x^2 - 9)*sqrt(-b)*x - 9)/b, -arctan(sqrt(-b*x^2 - 9)*sqrt(b)*x/(b*x^2 + 9))/sqrt(b)]","A",0
580,1,59,0,0.985375," ","integrate(1/(b*x^2+pi)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\pi - 2 \, b x^{2} - 2 \, \sqrt{\pi + b x^{2}} \sqrt{b} x\right)}{2 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{\pi + b x^{2}}}\right)}{b}\right]"," ",0,"[1/2*log(-pi - 2*b*x^2 - 2*sqrt(pi + b*x^2)*sqrt(b)*x)/sqrt(b), -sqrt(-b)*arctan(sqrt(-b)*x/sqrt(pi + b*x^2))/b]","B",0
581,1,62,0,0.933714," ","integrate(1/(-b*x^2+pi)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-\pi + 2 \, b x^{2} - 2 \, \sqrt{\pi - b x^{2}} \sqrt{-b} x\right)}{2 \, b}, -\frac{\arctan\left(-\frac{\sqrt{b} x}{\sqrt{\pi - b x^{2}}}\right)}{\sqrt{b}}\right]"," ",0,"[-1/2*sqrt(-b)*log(-pi + 2*b*x^2 - 2*sqrt(pi - b*x^2)*sqrt(-b)*x)/b, -arctan(-sqrt(b)*x/sqrt(pi - b*x^2))/sqrt(b)]","A",0
582,1,74,0,0.922924," ","integrate(1/(b*x^2-pi)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\pi + 2 \, b x^{2} + 2 \, \sqrt{-\pi + b x^{2}} \sqrt{b} x\right)}{2 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(-\frac{\sqrt{-\pi + b x^{2}} \sqrt{-b} x}{\pi - b x^{2}}\right)}{b}\right]"," ",0,"[1/2*log(-pi + 2*b*x^2 + 2*sqrt(-pi + b*x^2)*sqrt(b)*x)/sqrt(b), -sqrt(-b)*arctan(-sqrt(-pi + b*x^2)*sqrt(-b)*x/(pi - b*x^2))/b]","A",0
583,1,74,0,0.860863," ","integrate(1/(-b*x^2-pi)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-\pi - 2 \, b x^{2} + 2 \, \sqrt{-\pi - b x^{2}} \sqrt{-b} x\right)}{2 \, b}, -\frac{\arctan\left(\frac{\sqrt{-\pi - b x^{2}} \sqrt{b} x}{\pi + b x^{2}}\right)}{\sqrt{b}}\right]"," ",0,"[-1/2*sqrt(-b)*log(-pi - 2*b*x^2 + 2*sqrt(-pi - b*x^2)*sqrt(-b)*x)/b, -arctan(sqrt(-pi - b*x^2)*sqrt(b)*x/(pi + b*x^2))/sqrt(b)]","A",0
584,1,59,0,0.900414," ","integrate(1/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-2 \, b x^{2} - 2 \, \sqrt{b x^{2} + a} \sqrt{b} x - a\right)}{2 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} + a}}\right)}{b}\right]"," ",0,"[1/2*log(-2*b*x^2 - 2*sqrt(b*x^2 + a)*sqrt(b)*x - a)/sqrt(b), -sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 + a))/b]","A",0
585,1,72,0,0.693207," ","integrate(1/(-b*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(2 \, b x^{2} - 2 \, \sqrt{-b x^{2} + a} \sqrt{-b} x - a\right)}{2 \, b}, -\frac{\arctan\left(\frac{\sqrt{-b x^{2} + a} \sqrt{b} x}{b x^{2} - a}\right)}{\sqrt{b}}\right]"," ",0,"[-1/2*sqrt(-b)*log(2*b*x^2 - 2*sqrt(-b*x^2 + a)*sqrt(-b)*x - a)/b, -arctan(sqrt(-b*x^2 + a)*sqrt(b)*x/(b*x^2 - a))/sqrt(b)]","A",0
586,1,63,0,0.973046," ","integrate(1/(b*x^2-a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(2 \, b x^{2} + 2 \, \sqrt{b x^{2} - a} \sqrt{b} x - a\right)}{2 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} x}{\sqrt{b x^{2} - a}}\right)}{b}\right]"," ",0,"[1/2*log(2*b*x^2 + 2*sqrt(b*x^2 - a)*sqrt(b)*x - a)/sqrt(b), -sqrt(-b)*arctan(sqrt(-b)*x/sqrt(b*x^2 - a))/b]","A",0
587,1,74,0,0.924589," ","integrate(1/(-b*x^2-a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-2 \, b x^{2} + 2 \, \sqrt{-b x^{2} - a} \sqrt{-b} x - a\right)}{2 \, b}, -\frac{\arctan\left(\frac{\sqrt{-b x^{2} - a} \sqrt{b} x}{b x^{2} + a}\right)}{\sqrt{b}}\right]"," ",0,"[-1/2*sqrt(-b)*log(-2*b*x^2 + 2*sqrt(-b*x^2 - a)*sqrt(-b)*x - a)/b, -arctan(sqrt(-b*x^2 - a)*sqrt(b)*x/(b*x^2 + a))/sqrt(b)]","A",0
588,1,23,0,0.831634," ","integrate(1/(a^2-x^2)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(-\frac{a - \sqrt{a^{2} - x^{2}}}{x}\right)"," ",0,"-2*arctan(-(a - sqrt(a^2 - x^2))/x)","A",0
589,0,0,0,0.866626," ","integrate((c*x)^(7/2)*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{2} + a} \sqrt{c x} c^{3} x^{3}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c^3*x^3, x)","F",0
590,0,0,0,0.766276," ","integrate((c*x)^(5/2)*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{2} + a} \sqrt{c x} c^{2} x^{2}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c^2*x^2, x)","F",0
591,0,0,0,1.025192," ","integrate((c*x)^(3/2)*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{2} + a} \sqrt{c x} c x, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c*x, x)","F",0
592,0,0,0,1.043295," ","integrate((c*x)^(1/2)*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{2} + a} \sqrt{c x}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x), x)","F",0
593,0,0,0,0.925074," ","integrate((b*x^2+a)^(1/2)/(c*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{c x}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(c*x), x)","F",0
594,0,0,0,1.004748," ","integrate((b*x^2+a)^(1/2)/(c*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{c^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(c^2*x^2), x)","F",0
595,0,0,0,0.798805," ","integrate((b*x^2+a)^(1/2)/(c*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{c^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(c^3*x^3), x)","F",0
596,0,0,0,0.915967," ","integrate((b*x^2+a)^(1/2)/(c*x)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{c^{4} x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(c^4*x^4), x)","F",0
597,0,0,0,0.947627," ","integrate((c*x)^(7/2)*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b c^{3} x^{5} + a c^{3} x^{3}\right)} \sqrt{b x^{2} + a} \sqrt{c x}, x\right)"," ",0,"integral((b*c^3*x^5 + a*c^3*x^3)*sqrt(b*x^2 + a)*sqrt(c*x), x)","F",0
598,0,0,0,1.151435," ","integrate((c*x)^(5/2)*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b c^{2} x^{4} + a c^{2} x^{2}\right)} \sqrt{b x^{2} + a} \sqrt{c x}, x\right)"," ",0,"integral((b*c^2*x^4 + a*c^2*x^2)*sqrt(b*x^2 + a)*sqrt(c*x), x)","F",0
599,0,0,0,0.856845," ","integrate((c*x)^(3/2)*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b c x^{3} + a c x\right)} \sqrt{b x^{2} + a} \sqrt{c x}, x\right)"," ",0,"integral((b*c*x^3 + a*c*x)*sqrt(b*x^2 + a)*sqrt(c*x), x)","F",0
600,0,0,0,1.072042," ","integrate((c*x)^(1/2)*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*sqrt(c*x), x)","F",0
601,0,0,0,1.075993," ","integrate((b*x^2+a)^(3/2)/(c*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}}{c x}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*sqrt(c*x)/(c*x), x)","F",0
602,0,0,0,1.289407," ","integrate((b*x^2+a)^(3/2)/(c*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}}{c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*sqrt(c*x)/(c^2*x^2), x)","F",0
603,0,0,0,1.113076," ","integrate((b*x^2+a)^(3/2)/(c*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}}{c^{3} x^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*sqrt(c*x)/(c^3*x^3), x)","F",0
604,0,0,0,0.849710," ","integrate((b*x^2+a)^(3/2)/(c*x)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}}{c^{4} x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*sqrt(c*x)/(c^4*x^4), x)","F",0
605,0,0,0,0.950348," ","integrate((b*x^2+a)^(3/2)/(c*x)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}}{c^{5} x^{5}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*sqrt(c*x)/(c^5*x^5), x)","F",0
606,0,0,0,0.838780," ","integrate((b*x^2+a)^(3/2)/(c*x)^(11/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}}{c^{6} x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*sqrt(c*x)/(c^6*x^6), x)","F",0
607,0,0,0,0.826368," ","integrate((c*x)^(5/2)*(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x} c^{2} x^{2}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)*c^2*x^2, x)","F",0
608,0,0,0,0.913272," ","integrate((c*x)^(3/2)*(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x} c x, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)*c*x, x)","F",0
609,0,0,0,0.864619," ","integrate((c*x)^(1/2)*(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x), x)","F",0
610,0,0,0,0.935458," ","integrate((-2*a*x^2+3*a)^(1/2)/(c*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{c x}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(c*x), x)","F",0
611,0,0,0,0.726124," ","integrate((-2*a*x^2+3*a)^(1/2)/(c*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{c^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(c^2*x^2), x)","F",0
612,0,0,0,0.839009," ","integrate((-2*a*x^2+3*a)^(1/2)/(c*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{c^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(c^3*x^3), x)","F",0
613,0,0,0,0.806115," ","integrate((c*x)^(7/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x} c^{3} x^{3}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(sqrt(c*x)*c^3*x^3/sqrt(b*x^2 + a), x)","F",0
614,0,0,0,0.741158," ","integrate((c*x)^(5/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x} c^{2} x^{2}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(sqrt(c*x)*c^2*x^2/sqrt(b*x^2 + a), x)","F",0
615,0,0,0,0.557673," ","integrate((c*x)^(3/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x} c x}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(sqrt(c*x)*c*x/sqrt(b*x^2 + a), x)","F",0
616,0,0,0,0.781864," ","integrate((c*x)^(1/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(sqrt(c*x)/sqrt(b*x^2 + a), x)","F",0
617,0,0,0,0.712588," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b c x^{3} + a c x}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b*c*x^3 + a*c*x), x)","F",0
618,0,0,0,0.770542," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b c^{2} x^{4} + a c^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b*c^2*x^4 + a*c^2*x^2), x)","F",0
619,0,0,0,0.657200," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b c^{3} x^{5} + a c^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b*c^3*x^5 + a*c^3*x^3), x)","F",0
620,0,0,0,0.862209," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b c^{4} x^{6} + a c^{4} x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b*c^4*x^6 + a*c^4*x^4), x)","F",0
621,0,0,0,0.891719," ","integrate((c*x)^(7/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x} c^{3} x^{3}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c^3*x^3/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
622,0,0,0,0.975896," ","integrate((c*x)^(5/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x} c^{2} x^{2}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c^2*x^2/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
623,0,0,0,0.894565," ","integrate((c*x)^(3/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x} c x}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c*x/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
624,0,0,0,0.839398," ","integrate((c*x)^(1/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
625,0,0,0,0.832638," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{2} c x^{5} + 2 \, a b c x^{3} + a^{2} c x}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^2*c*x^5 + 2*a*b*c*x^3 + a^2*c*x), x)","F",0
626,0,0,0,0.823889," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{2} c^{2} x^{6} + 2 \, a b c^{2} x^{4} + a^{2} c^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^2*c^2*x^6 + 2*a*b*c^2*x^4 + a^2*c^2*x^2), x)","F",0
627,0,0,0,0.791343," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{2} c^{3} x^{7} + 2 \, a b c^{3} x^{5} + a^{2} c^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^2*c^3*x^7 + 2*a*b*c^3*x^5 + a^2*c^3*x^3), x)","F",0
628,0,0,0,0.919157," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{2} c^{4} x^{8} + 2 \, a b c^{4} x^{6} + a^{2} c^{4} x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^2*c^4*x^8 + 2*a*b*c^4*x^6 + a^2*c^4*x^4), x)","F",0
629,0,0,0,0.937032," ","integrate((c*x)^(7/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x} c^{3} x^{3}}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c^3*x^3/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
630,0,0,0,0.796761," ","integrate((c*x)^(5/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x} c^{2} x^{2}}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c^2*x^2/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
631,0,0,0,0.758860," ","integrate((c*x)^(3/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x} c x}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)*c*x/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
632,0,0,0,0.777975," ","integrate((c*x)^(1/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
633,0,0,0,0.798211," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{3} c x^{7} + 3 \, a b^{2} c x^{5} + 3 \, a^{2} b c x^{3} + a^{3} c x}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^3*c*x^7 + 3*a*b^2*c*x^5 + 3*a^2*b*c*x^3 + a^3*c*x), x)","F",0
634,0,0,0,0.804398," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{3} c^{2} x^{8} + 3 \, a b^{2} c^{2} x^{6} + 3 \, a^{2} b c^{2} x^{4} + a^{3} c^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^3*c^2*x^8 + 3*a*b^2*c^2*x^6 + 3*a^2*b*c^2*x^4 + a^3*c^2*x^2), x)","F",0
635,0,0,0,1.921754," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{3} c^{3} x^{9} + 3 \, a b^{2} c^{3} x^{7} + 3 \, a^{2} b c^{3} x^{5} + a^{3} c^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^3*c^3*x^9 + 3*a*b^2*c^3*x^7 + 3*a^2*b*c^3*x^5 + a^3*c^3*x^3), x)","F",0
636,0,0,0,0.755563," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} \sqrt{c x}}{b^{3} c^{4} x^{10} + 3 \, a b^{2} c^{4} x^{8} + 3 \, a^{2} b c^{4} x^{6} + a^{3} c^{4} x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*sqrt(c*x)/(b^3*c^4*x^10 + 3*a*b^2*c^4*x^8 + 3*a^2*b*c^4*x^6 + a^3*c^4*x^4), x)","F",0
637,0,0,0,1.389021," ","integrate((c*x)^(5/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x} c^{2} x^{2}}{2 \, a x^{2} - 3 \, a}, x\right)"," ",0,"integral(-sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)*c^2*x^2/(2*a*x^2 - 3*a), x)","F",0
638,0,0,0,0.656011," ","integrate((c*x)^(3/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x} c x}{2 \, a x^{2} - 3 \, a}, x\right)"," ",0,"integral(-sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)*c*x/(2*a*x^2 - 3*a), x)","F",0
639,0,0,0,0.788291," ","integrate((c*x)^(1/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{2 \, a x^{2} - 3 \, a}, x\right)"," ",0,"integral(-sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(2*a*x^2 - 3*a), x)","F",0
640,0,0,0,0.803179," ","integrate(1/(c*x)^(1/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{2 \, a c x^{3} - 3 \, a c x}, x\right)"," ",0,"integral(-sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(2*a*c*x^3 - 3*a*c*x), x)","F",0
641,0,0,0,0.933168," ","integrate(1/(c*x)^(3/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{2 \, a c^{2} x^{4} - 3 \, a c^{2} x^{2}}, x\right)"," ",0,"integral(-sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(2*a*c^2*x^4 - 3*a*c^2*x^2), x)","F",0
642,0,0,0,0.796994," ","integrate(1/(c*x)^(5/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{2 \, a c^{3} x^{5} - 3 \, a c^{3} x^{3}}, x\right)"," ",0,"integral(-sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(2*a*c^3*x^5 - 3*a*c^3*x^3), x)","F",0
643,0,0,0,0.678567," ","integrate((c*x)^(5/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x} c^{2} x^{2}}{4 \, a^{2} x^{4} - 12 \, a^{2} x^{2} + 9 \, a^{2}}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)*c^2*x^2/(4*a^2*x^4 - 12*a^2*x^2 + 9*a^2), x)","F",0
644,0,0,0,0.832694," ","integrate((c*x)^(3/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x} c x}{4 \, a^{2} x^{4} - 12 \, a^{2} x^{2} + 9 \, a^{2}}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)*c*x/(4*a^2*x^4 - 12*a^2*x^2 + 9*a^2), x)","F",0
645,0,0,0,0.604249," ","integrate((c*x)^(1/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{4 \, a^{2} x^{4} - 12 \, a^{2} x^{2} + 9 \, a^{2}}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(4*a^2*x^4 - 12*a^2*x^2 + 9*a^2), x)","F",0
646,0,0,0,0.737185," ","integrate(1/(c*x)^(1/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{4 \, a^{2} c x^{5} - 12 \, a^{2} c x^{3} + 9 \, a^{2} c x}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(4*a^2*c*x^5 - 12*a^2*c*x^3 + 9*a^2*c*x), x)","F",0
647,0,0,0,0.836305," ","integrate(1/(c*x)^(3/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{4 \, a^{2} c^{2} x^{6} - 12 \, a^{2} c^{2} x^{4} + 9 \, a^{2} c^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(4*a^2*c^2*x^6 - 12*a^2*c^2*x^4 + 9*a^2*c^2*x^2), x)","F",0
648,0,0,0,0.861584," ","integrate(1/(c*x)^(5/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}{4 \, a^{2} c^{3} x^{7} - 12 \, a^{2} c^{3} x^{5} + 9 \, a^{2} c^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)/(4*a^2*c^3*x^7 - 12*a^2*c^3*x^5 + 9*a^2*c^3*x^3), x)","F",0
649,0,0,0,0.623559," ","integrate(1/x^(1/2)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \sqrt{x}}{a^{2} x^{3} - x}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*sqrt(x)/(a^2*x^3 - x), x)","F",0
650,0,0,0,0.772204," ","integrate(1/x^(1/2)/(a*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a x^{2} + 1} \sqrt{x}}{a x^{3} + x}, x\right)"," ",0,"integral(sqrt(a*x^2 + 1)*sqrt(x)/(a*x^3 + x), x)","F",0
651,0,0,0,0.799702," ","integrate(x^m*(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{3}{2}} x^{m}, x\right)"," ",0,"integral((b*x^2 + a)^(3/2)*x^m, x)","F",0
652,0,0,0,0.864263," ","integrate(x^m*(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{2} + a} x^{m}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*x^m, x)","F",0
653,0,0,0,0.931593," ","integrate(x^m/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(x^m/sqrt(b*x^2 + a), x)","F",0
654,0,0,0,0.882996," ","integrate(x^m/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} x^{m}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*x^m/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
655,0,0,0,0.861012," ","integrate(x^m/(b*x^2+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{2} + a} x^{m}}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x^2 + a)*x^m/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
656,0,0,0,0.827430," ","integrate(x^(2+m)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m + 2}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(x^(m + 2)/sqrt(b*x^2 + a), x)","F",0
657,0,0,0,0.884037," ","integrate(x^(1+m)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m + 1}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(x^(m + 1)/sqrt(b*x^2 + a), x)","F",0
658,0,0,0,0.585328," ","integrate(x^m/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(x^m/sqrt(b*x^2 + a), x)","F",0
659,0,0,0,0.849463," ","integrate(x^(-1+m)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m - 1}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(x^(m - 1)/sqrt(b*x^2 + a), x)","F",0
660,0,0,0,0.857767," ","integrate(x^(-2+m)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m - 2}}{\sqrt{b x^{2} + a}}, x\right)"," ",0,"integral(x^(m - 2)/sqrt(b*x^2 + a), x)","F",0
661,1,16,0,0.889753," ","integrate(x^(1+m)*(a*(2+m)+b*(3+m)*x^2)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\sqrt{b x^{2} + a} x x^{m + 1}"," ",0,"sqrt(b*x^2 + a)*x*x^(m + 1)","A",0
662,1,18,0,0.862389," ","integrate(a*(2+m)*x^(1+m)/(b*x^2+a)^(1/2)+b*(3+m)*x^(3+m)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2} + a} x^{m + 3}}{x}"," ",0,"sqrt(b*x^2 + a)*x^(m + 3)/x","A",0
663,1,16,0,1.187680," ","integrate(x^(-1+m)*(a*m+b*(-1+m)*x^2)/(b*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{x x^{m - 1}}{\sqrt{b x^{2} + a}}"," ",0,"x*x^(m - 1)/sqrt(b*x^2 + a)","A",0
664,1,26,0,0.943421," ","integrate(-b*x^(1+m)/(b*x^2+a)^(3/2)+m*x^(-1+m)/(b*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2} + a} x^{m + 1}}{b x^{3} + a x}"," ",0,"sqrt(b*x^2 + a)*x^(m + 1)/(b*x^3 + a*x)","A",0
665,1,57,0,0.797094," ","integrate(x^7*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(140 \, b^{4} x^{8} + 14 \, a b^{3} x^{6} - 18 \, a^{2} b^{2} x^{4} + 27 \, a^{3} b x^{2} - 81 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{3640 \, b^{4}}"," ",0,"3/3640*(140*b^4*x^8 + 14*a*b^3*x^6 - 18*a^2*b^2*x^4 + 27*a^3*b*x^2 - 81*a^4)*(b*x^2 + a)^(1/3)/b^4","A",0
666,1,46,0,0.740072," ","integrate(x^5*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(14 \, b^{3} x^{6} + 2 \, a b^{2} x^{4} - 3 \, a^{2} b x^{2} + 9 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{280 \, b^{3}}"," ",0,"3/280*(14*b^3*x^6 + 2*a*b^2*x^4 - 3*a^2*b*x^2 + 9*a^3)*(b*x^2 + a)^(1/3)/b^3","A",0
667,1,34,0,0.702335," ","integrate(x^3*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, b^{2} x^{4} + a b x^{2} - 3 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{56 \, b^{2}}"," ",0,"3/56*(4*b^2*x^4 + a*b*x^2 - 3*a^2)*(b*x^2 + a)^(1/3)/b^2","A",0
668,1,14,0,0.629871," ","integrate(x*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}}}{8 \, b}"," ",0,"3/8*(b*x^2 + a)^(4/3)/b","A",0
669,1,102,0,1.416495," ","integrate((b*x^2+a)^(1/3)/x,x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} a^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) - \frac{1}{4} \, a^{\frac{1}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + \frac{1}{2} \, a^{\frac{1}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + \frac{3}{2} \, {\left(b x^{2} + a\right)}^{\frac{1}{3}}"," ",0,"-1/2*sqrt(3)*a^(1/3)*arctan(1/3*(2*sqrt(3)*(b*x^2 + a)^(1/3)*a^(2/3) + sqrt(3)*a)/a) - 1/4*a^(1/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 1/2*a^(1/3)*log((b*x^2 + a)^(1/3) - a^(1/3)) + 3/2*(b*x^2 + a)^(1/3)","A",0
670,1,155,0,0.829082," ","integrate((b*x^2+a)^(1/3)/x^3,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a b x^{2} \arctan\left(\frac{{\left(a^{2}\right)}^{\frac{1}{6}} {\left(\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, a^{2}}\right) + {\left(a^{2}\right)}^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right) - 2 \, {\left(a^{2}\right)}^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) + 6 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{2}}{12 \, a^{2} x^{2}}"," ",0,"-1/12*(2*sqrt(3)*(a^2)^(1/6)*a*b*x^2*arctan(1/3*(a^2)^(1/6)*(sqrt(3)*(a^2)^(1/3)*a + 2*sqrt(3)*(b*x^2 + a)^(1/3)*(a^2)^(2/3))/a^2) + (a^2)^(2/3)*b*x^2*log((b*x^2 + a)^(2/3)*a + (a^2)^(1/3)*a + (b*x^2 + a)^(1/3)*(a^2)^(2/3)) - 2*(a^2)^(2/3)*b*x^2*log((b*x^2 + a)^(1/3)*a - (a^2)^(2/3)) + 6*(b*x^2 + a)^(1/3)*a^2)/(a^2*x^2)","A",0
671,1,199,0,0.821687," ","integrate((b*x^2+a)^(1/3)/x^5,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} a b^{2} x^{4} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{{\left(\sqrt{3} \left(-a^{2}\right)^{\frac{1}{3}} a - 2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a^{2}\right)^{\frac{2}{3}}\right)} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}}}{3 \, a^{2}}\right) + \left(-a^{2}\right)^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} a - \left(-a^{2}\right)^{\frac{1}{3}} a + {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a^{2}\right)^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} a - \left(-a^{2}\right)^{\frac{2}{3}}\right) - 3 \, {\left(a^{2} b x^{2} + 3 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{36 \, a^{3} x^{4}}"," ",0,"1/36*(2*sqrt(3)*a*b^2*x^4*sqrt(-(-a^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-a^2)^(1/3)*a - 2*sqrt(3)*(b*x^2 + a)^(1/3)*(-a^2)^(2/3))*sqrt(-(-a^2)^(1/3))/a^2) + (-a^2)^(2/3)*b^2*x^4*log((b*x^2 + a)^(2/3)*a - (-a^2)^(1/3)*a + (b*x^2 + a)^(1/3)*(-a^2)^(2/3)) - 2*(-a^2)^(2/3)*b^2*x^4*log((b*x^2 + a)^(1/3)*a - (-a^2)^(2/3)) - 3*(a^2*b*x^2 + 3*a^3)*(b*x^2 + a)^(1/3))/(a^3*x^4)","A",0
672,0,0,0,0.875583," ","integrate(x^4*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} x^{4}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*x^4, x)","F",0
673,0,0,0,1.074570," ","integrate(x^2*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} x^{2}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*x^2, x)","F",0
674,0,0,0,0.758941," ","integrate((b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3), x)","F",0
675,0,0,0,0.791762," ","integrate((b*x^2+a)^(1/3)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)/x^2, x)","F",0
676,0,0,0,0.823175," ","integrate((b*x^2+a)^(1/3)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)/x^4, x)","F",0
677,1,57,0,0.793175," ","integrate(x^7*(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(220 \, b^{4} x^{8} + 40 \, a b^{3} x^{6} - 45 \, a^{2} b^{2} x^{4} + 54 \, a^{3} b x^{2} - 81 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{6160 \, b^{4}}"," ",0,"3/6160*(220*b^4*x^8 + 40*a*b^3*x^6 - 45*a^2*b^2*x^4 + 54*a^3*b*x^2 - 81*a^4)*(b*x^2 + a)^(2/3)/b^4","A",0
678,1,46,0,0.773770," ","integrate(x^5*(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(20 \, b^{3} x^{6} + 5 \, a b^{2} x^{4} - 6 \, a^{2} b x^{2} + 9 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{440 \, b^{3}}"," ",0,"3/440*(20*b^3*x^6 + 5*a*b^2*x^4 - 6*a^2*b*x^2 + 9*a^3)*(b*x^2 + a)^(2/3)/b^3","A",0
679,1,35,0,0.826926," ","integrate(x^3*(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{2} x^{4} + 2 \, a b x^{2} - 3 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{80 \, b^{2}}"," ",0,"3/80*(5*b^2*x^4 + 2*a*b*x^2 - 3*a^2)*(b*x^2 + a)^(2/3)/b^2","A",0
680,1,14,0,0.772136," ","integrate(x*(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}}}{10 \, b}"," ",0,"3/10*(b*x^2 + a)^(5/3)/b","A",0
681,1,122,0,0.943951," ","integrate((b*x^2+a)^(2/3)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} a + 2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{1}{3}}}{3 \, a}\right) - \frac{1}{4} \, {\left(a^{2}\right)}^{\frac{1}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right) + \frac{1}{2} \, {\left(a^{2}\right)}^{\frac{1}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) + \frac{3}{4} \, {\left(b x^{2} + a\right)}^{\frac{2}{3}}"," ",0,"1/2*sqrt(3)*(a^2)^(1/3)*arctan(1/3*(sqrt(3)*a + 2*sqrt(3)*(b*x^2 + a)^(1/3)*(a^2)^(1/3))/a) - 1/4*(a^2)^(1/3)*log((b*x^2 + a)^(2/3)*a + (a^2)^(1/3)*a + (b*x^2 + a)^(1/3)*(a^2)^(2/3)) + 1/2*(a^2)^(1/3)*log((b*x^2 + a)^(1/3)*a - (a^2)^(2/3)) + 3/4*(b*x^2 + a)^(2/3)","A",0
682,1,290,0,0.670250," ","integrate((b*x^2+a)^(2/3)/x^3,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b x^{2} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) - a^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 2 \, a^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - 3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{6 \, a x^{2}}, \frac{6 \, \sqrt{\frac{1}{3}} a^{\frac{2}{3}} b x^{2} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right) - a^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 2 \, a^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - 3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{6 \, a x^{2}}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*b*x^2*sqrt(-1/a^(2/3))*log((2*b*x^2 + 3*sqrt(1/3)*(2*(b*x^2 + a)^(2/3)*a^(2/3) - (b*x^2 + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x^2 + a)^(1/3)*a^(2/3) + 3*a)/x^2) - a^(2/3)*b*x^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*b*x^2*log((b*x^2 + a)^(1/3) - a^(1/3)) - 3*(b*x^2 + a)^(2/3)*a)/(a*x^2), 1/6*(6*sqrt(1/3)*a^(2/3)*b*x^2*arctan(sqrt(1/3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) - a^(2/3)*b*x^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*b*x^2*log((b*x^2 + a)^(1/3) - a^(1/3)) - 3*(b*x^2 + a)^(2/3)*a)/(a*x^2)]","A",0
683,1,380,0,0.790353," ","integrate((b*x^2+a)^(2/3)/x^5,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b^{2} x^{4} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) + \left(-a\right)^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) - 3 \, {\left(2 \, a b x^{2} + 3 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{36 \, a^{2} x^{4}}, -\frac{6 \, \sqrt{\frac{1}{3}} a b^{2} x^{4} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) - \left(-a\right)^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) + 2 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) + 3 \, {\left(2 \, a b x^{2} + 3 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{36 \, a^{2} x^{4}}\right]"," ",0,"[1/36*(3*sqrt(1/3)*a*b^2*x^4*sqrt((-a)^(1/3)/a)*log((2*b*x^2 - 3*sqrt(1/3)*(2*(b*x^2 + a)^(2/3)*(-a)^(2/3) - (b*x^2 + a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x^2 + a)^(1/3)*(-a)^(2/3) + 3*a)/x^2) + (-a)^(2/3)*b^2*x^4*log((b*x^2 + a)^(2/3) - (b*x^2 + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*b^2*x^4*log((b*x^2 + a)^(1/3) + (-a)^(1/3)) - 3*(2*a*b*x^2 + 3*a^2)*(b*x^2 + a)^(2/3))/(a^2*x^4), -1/36*(6*sqrt(1/3)*a*b^2*x^4*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x^2 + a)^(1/3) - (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) - (-a)^(2/3)*b^2*x^4*log((b*x^2 + a)^(2/3) - (b*x^2 + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) + 2*(-a)^(2/3)*b^2*x^4*log((b*x^2 + a)^(1/3) + (-a)^(1/3)) + 3*(2*a*b*x^2 + 3*a^2)*(b*x^2 + a)^(2/3))/(a^2*x^4)]","A",0
684,0,0,0,0.895956," ","integrate(x^4*(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{4}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)*x^4, x)","F",0
685,0,0,0,0.873624," ","integrate(x^2*(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{2}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)*x^2, x)","F",0
686,0,0,0,1.094987," ","integrate((b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3), x)","F",0
687,0,0,0,0.844680," ","integrate((b*x^2+a)^(2/3)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)/x^2, x)","F",0
688,0,0,0,0.914515," ","integrate((b*x^2+a)^(2/3)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)/x^4, x)","F",0
689,1,68,0,0.791870," ","integrate(x^7*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(455 \, b^{5} x^{10} + 595 \, a b^{4} x^{8} + 14 \, a^{2} b^{3} x^{6} - 18 \, a^{3} b^{2} x^{4} + 27 \, a^{4} b x^{2} - 81 \, a^{5}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{14560 \, b^{4}}"," ",0,"3/14560*(455*b^5*x^10 + 595*a*b^4*x^8 + 14*a^2*b^3*x^6 - 18*a^3*b^2*x^4 + 27*a^4*b*x^2 - 81*a^5)*(b*x^2 + a)^(1/3)/b^4","A",0
690,1,57,0,0.793543," ","integrate(x^5*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(35 \, b^{4} x^{8} + 49 \, a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{4} - 3 \, a^{3} b x^{2} + 9 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{910 \, b^{3}}"," ",0,"3/910*(35*b^4*x^8 + 49*a*b^3*x^6 + 2*a^2*b^2*x^4 - 3*a^3*b*x^2 + 9*a^4)*(b*x^2 + a)^(1/3)/b^3","A",0
691,1,45,0,0.977997," ","integrate(x^3*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(7 \, b^{3} x^{6} + 11 \, a b^{2} x^{4} + a^{2} b x^{2} - 3 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{140 \, b^{2}}"," ",0,"3/140*(7*b^3*x^6 + 11*a*b^2*x^4 + a^2*b*x^2 - 3*a^3)*(b*x^2 + a)^(1/3)/b^2","A",0
692,1,32,0,1.140021," ","integrate(x*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{14 \, b}"," ",0,"3/14*(b^2*x^4 + 2*a*b*x^2 + a^2)*(b*x^2 + a)^(1/3)/b","B",0
693,1,111,0,1.399472," ","integrate((b*x^2+a)^(4/3)/x,x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} a^{\frac{4}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) - \frac{1}{4} \, a^{\frac{4}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + \frac{1}{2} \, a^{\frac{4}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + \frac{3}{8} \, {\left(b x^{2} + 5 \, a\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}"," ",0,"-1/2*sqrt(3)*a^(4/3)*arctan(1/3*(2*sqrt(3)*(b*x^2 + a)^(1/3)*a^(2/3) + sqrt(3)*a)/a) - 1/4*a^(4/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 1/2*a^(4/3)*log((b*x^2 + a)^(1/3) - a^(1/3)) + 3/8*(b*x^2 + 5*a)*(b*x^2 + a)^(1/3)","A",0
694,1,129,0,1.568552," ","integrate((b*x^2+a)^(4/3)/x^3,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} a^{\frac{1}{3}} b x^{2} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) + 2 \, a^{\frac{1}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) - 4 \, a^{\frac{1}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - 3 \, {\left(3 \, b x^{2} - a\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{6 \, x^{2}}"," ",0,"-1/6*(4*sqrt(3)*a^(1/3)*b*x^2*arctan(1/3*(2*sqrt(3)*(b*x^2 + a)^(1/3)*a^(2/3) + sqrt(3)*a)/a) + 2*a^(1/3)*b*x^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) - 4*a^(1/3)*b*x^2*log((b*x^2 + a)^(1/3) - a^(1/3)) - 3*(3*b*x^2 - a)*(b*x^2 + a)^(1/3))/x^2","A",0
695,1,174,0,0.893670," ","integrate((b*x^2+a)^(4/3)/x^5,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a b^{2} x^{4} \arctan\left(\frac{{\left(a^{2}\right)}^{\frac{1}{6}} {\left(\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, a^{2}}\right) + 2 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right) - 4 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) + 3 \, {\left(7 \, a^{2} b x^{2} + 3 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{36 \, a^{2} x^{4}}"," ",0,"-1/36*(4*sqrt(3)*(a^2)^(1/6)*a*b^2*x^4*arctan(1/3*(a^2)^(1/6)*(sqrt(3)*(a^2)^(1/3)*a + 2*sqrt(3)*(b*x^2 + a)^(1/3)*(a^2)^(2/3))/a^2) + 2*(a^2)^(2/3)*b^2*x^4*log((b*x^2 + a)^(2/3)*a + (a^2)^(1/3)*a + (b*x^2 + a)^(1/3)*(a^2)^(2/3)) - 4*(a^2)^(2/3)*b^2*x^4*log((b*x^2 + a)^(1/3)*a - (a^2)^(2/3)) + 3*(7*a^2*b*x^2 + 3*a^3)*(b*x^2 + a)^(1/3))/(a^2*x^4)","A",0
696,0,0,0,0.925944," ","integrate(x^4*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{6} + a x^{4}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((b*x^6 + a*x^4)*(b*x^2 + a)^(1/3), x)","F",0
697,0,0,0,0.802950," ","integrate(x^2*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{4} + a x^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((b*x^4 + a*x^2)*(b*x^2 + a)^(1/3), x)","F",0
698,0,0,0,1.034985," ","integrate((b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{4}{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3), x)","F",0
699,0,0,0,1.234002," ","integrate((b*x^2+a)^(4/3)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)/x^2, x)","F",0
700,0,0,0,1.521768," ","integrate((b*x^2+a)^(4/3)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)/x^4, x)","F",0
701,1,24,0,1.371388," ","integrate(x*(x^2-1)^(7/3),x, algorithm=""fricas"")","\frac{3}{20} \, {\left(x^{6} - 3 \, x^{4} + 3 \, x^{2} - 1\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}"," ",0,"3/20*(x^6 - 3*x^4 + 3*x^2 - 1)*(x^2 - 1)^(1/3)","B",0
702,1,46,0,0.874625," ","integrate(x^7/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(40 \, b^{3} x^{6} - 45 \, a b^{2} x^{4} + 54 \, a^{2} b x^{2} - 81 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{880 \, b^{4}}"," ",0,"3/880*(40*b^3*x^6 - 45*a*b^2*x^4 + 54*a^2*b*x^2 - 81*a^3)*(b*x^2 + a)^(2/3)/b^4","A",0
703,1,35,0,1.575880," ","integrate(x^5/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{2} x^{4} - 6 \, a b x^{2} + 9 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{80 \, b^{3}}"," ",0,"3/80*(5*b^2*x^4 - 6*a*b*x^2 + 9*a^2)*(b*x^2 + a)^(2/3)/b^3","A",0
704,1,24,0,1.048560," ","integrate(x^3/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b x^{2} - 3 \, a\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{20 \, b^{2}}"," ",0,"3/20*(2*b*x^2 - 3*a)*(b*x^2 + a)^(2/3)/b^2","A",0
705,1,14,0,0.629371," ","integrate(x/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{4 \, b}"," ",0,"3/4*(b*x^2 + a)^(2/3)/b","A",0
706,1,235,0,1.013565," ","integrate(1/x/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} a \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{2} + \sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) - a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 2 \, a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{4 \, a}, \frac{2 \, \sqrt{3} a^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 2 \, a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{4 \, a}\right]"," ",0,"[1/4*(sqrt(3)*a*sqrt(-1/a^(2/3))*log((2*b*x^2 + sqrt(3)*(2*(b*x^2 + a)^(2/3)*a^(2/3) - (b*x^2 + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x^2 + a)^(1/3)*a^(2/3) + 3*a)/x^2) - a^(2/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*log((b*x^2 + a)^(1/3) - a^(1/3)))/a, 1/4*(2*sqrt(3)*a^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) - a^(2/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*log((b*x^2 + a)^(1/3) - a^(1/3)))/a]","A",0
707,1,344,0,1.021298," ","integrate(1/x^3/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b x^{2} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) + \left(-a\right)^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) - 6 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{12 \, a^{2} x^{2}}, -\frac{6 \, \sqrt{\frac{1}{3}} a b x^{2} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) - \left(-a\right)^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) + 2 \, \left(-a\right)^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) + 6 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{12 \, a^{2} x^{2}}\right]"," ",0,"[1/12*(3*sqrt(1/3)*a*b*x^2*sqrt((-a)^(1/3)/a)*log((2*b*x^2 - 3*sqrt(1/3)*(2*(b*x^2 + a)^(2/3)*(-a)^(2/3) - (b*x^2 + a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x^2 + a)^(1/3)*(-a)^(2/3) + 3*a)/x^2) + (-a)^(2/3)*b*x^2*log((b*x^2 + a)^(2/3) - (b*x^2 + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*b*x^2*log((b*x^2 + a)^(1/3) + (-a)^(1/3)) - 6*(b*x^2 + a)^(2/3)*a)/(a^2*x^2), -1/12*(6*sqrt(1/3)*a*b*x^2*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x^2 + a)^(1/3) - (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) - (-a)^(2/3)*b*x^2*log((b*x^2 + a)^(2/3) - (b*x^2 + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) + 2*(-a)^(2/3)*b*x^2*log((b*x^2 + a)^(1/3) + (-a)^(1/3)) + 6*(b*x^2 + a)^(2/3)*a)/(a^2*x^2)]","A",0
708,1,326,0,1.724062," ","integrate(1/x^5/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} a b^{2} x^{4} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) - 2 \, a^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 4 \, a^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x^{2} - 3 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{36 \, a^{3} x^{4}}, \frac{12 \, \sqrt{\frac{1}{3}} a^{\frac{2}{3}} b^{2} x^{4} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right) - 2 \, a^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 4 \, a^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x^{2} - 3 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{36 \, a^{3} x^{4}}\right]"," ",0,"[1/36*(6*sqrt(1/3)*a*b^2*x^4*sqrt(-1/a^(2/3))*log((2*b*x^2 + 3*sqrt(1/3)*(2*(b*x^2 + a)^(2/3)*a^(2/3) - (b*x^2 + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x^2 + a)^(1/3)*a^(2/3) + 3*a)/x^2) - 2*a^(2/3)*b^2*x^4*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 4*a^(2/3)*b^2*x^4*log((b*x^2 + a)^(1/3) - a^(1/3)) + 3*(4*a*b*x^2 - 3*a^2)*(b*x^2 + a)^(2/3))/(a^3*x^4), 1/36*(12*sqrt(1/3)*a^(2/3)*b^2*x^4*arctan(sqrt(1/3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) - 2*a^(2/3)*b^2*x^4*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 4*a^(2/3)*b^2*x^4*log((b*x^2 + a)^(1/3) - a^(1/3)) + 3*(4*a*b*x^2 - 3*a^2)*(b*x^2 + a)^(2/3))/(a^3*x^4)]","A",0
709,0,0,0,0.950154," ","integrate(x^4/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral(x^4/(b*x^2 + a)^(1/3), x)","F",0
710,0,0,0,0.986566," ","integrate(x^2/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral(x^2/(b*x^2 + a)^(1/3), x)","F",0
711,0,0,0,1.384478," ","integrate(1/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((b*x^2 + a)^(-1/3), x)","F",0
712,0,0,0,1.170209," ","integrate(1/x^2/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{b x^{4} + a x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)/(b*x^4 + a*x^2), x)","F",0
713,0,0,0,0.712475," ","integrate(1/x^4/(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{b x^{6} + a x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)/(b*x^6 + a*x^4), x)","F",0
714,1,46,0,0.958580," ","integrate(x^7/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(14 \, b^{3} x^{6} - 18 \, a b^{2} x^{4} + 27 \, a^{2} b x^{2} - 81 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{280 \, b^{4}}"," ",0,"3/280*(14*b^3*x^6 - 18*a*b^2*x^4 + 27*a^2*b*x^2 - 81*a^3)*(b*x^2 + a)^(1/3)/b^4","A",0
715,1,35,0,1.117347," ","integrate(x^5/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{2} x^{4} - 3 \, a b x^{2} + 9 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{28 \, b^{3}}"," ",0,"3/28*(2*b^2*x^4 - 3*a*b*x^2 + 9*a^2)*(b*x^2 + a)^(1/3)/b^3","A",0
716,1,23,0,0.845927," ","integrate(x^3/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(b x^{2} - 3 \, a\right)}}{8 \, b^{2}}"," ",0,"3/8*(b*x^2 + a)^(1/3)*(b*x^2 - 3*a)/b^2","A",0
717,1,14,0,0.937351," ","integrate(x/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{2 \, b}"," ",0,"3/2*(b*x^2 + a)^(1/3)/b","A",0
718,1,123,0,1.433357," ","integrate(1/x/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a \arctan\left(\frac{\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} {\left({\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, a^{2}}\right) + {\left(a^{2}\right)}^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right) - 2 \, {\left(a^{2}\right)}^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right)}{4 \, a^{2}}"," ",0,"-1/4*(2*sqrt(3)*(a^2)^(1/6)*a*arctan(1/3*sqrt(3)*(a^2)^(1/6)*((a^2)^(1/3)*a + 2*(b*x^2 + a)^(1/3)*(a^2)^(2/3))/a^2) + (a^2)^(2/3)*log((b*x^2 + a)^(2/3)*a + (a^2)^(1/3)*a + (b*x^2 + a)^(1/3)*(a^2)^(2/3)) - 2*(a^2)^(2/3)*log((b*x^2 + a)^(1/3)*a - (a^2)^(2/3)))/a^2","B",0
719,1,182,0,0.918013," ","integrate(1/x^3/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} a b x^{2} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{{\left(\sqrt{3} \left(-a^{2}\right)^{\frac{1}{3}} a - 2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a^{2}\right)^{\frac{2}{3}}\right)} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}}}{3 \, a^{2}}\right) + \left(-a^{2}\right)^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} a - \left(-a^{2}\right)^{\frac{1}{3}} a + {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a^{2}\right)^{\frac{2}{3}} b x^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} a - \left(-a^{2}\right)^{\frac{2}{3}}\right) - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{2}}{6 \, a^{3} x^{2}}"," ",0,"1/6*(2*sqrt(3)*a*b*x^2*sqrt(-(-a^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-a^2)^(1/3)*a - 2*sqrt(3)*(b*x^2 + a)^(1/3)*(-a^2)^(2/3))*sqrt(-(-a^2)^(1/3))/a^2) + (-a^2)^(2/3)*b*x^2*log((b*x^2 + a)^(2/3)*a - (-a^2)^(1/3)*a + (b*x^2 + a)^(1/3)*(-a^2)^(2/3)) - 2*(-a^2)^(2/3)*b*x^2*log((b*x^2 + a)^(1/3)*a - (-a^2)^(2/3)) - 3*(b*x^2 + a)^(1/3)*a^2)/(a^3*x^2)","B",0
720,1,174,0,1.414231," ","integrate(1/x^5/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a b^{2} x^{4} \arctan\left(\frac{{\left(a^{2}\right)}^{\frac{1}{6}} {\left(\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, \sqrt{3} {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, a^{2}}\right) + 5 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(b x^{2} + a\right)}^{\frac{1}{3}} {\left(a^{2}\right)}^{\frac{2}{3}}\right) - 10 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{4} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) - 3 \, {\left(5 \, a^{2} b x^{2} - 3 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{36 \, a^{4} x^{4}}"," ",0,"-1/36*(10*sqrt(3)*(a^2)^(1/6)*a*b^2*x^4*arctan(1/3*(a^2)^(1/6)*(sqrt(3)*(a^2)^(1/3)*a + 2*sqrt(3)*(b*x^2 + a)^(1/3)*(a^2)^(2/3))/a^2) + 5*(a^2)^(2/3)*b^2*x^4*log((b*x^2 + a)^(2/3)*a + (a^2)^(1/3)*a + (b*x^2 + a)^(1/3)*(a^2)^(2/3)) - 10*(a^2)^(2/3)*b^2*x^4*log((b*x^2 + a)^(1/3)*a - (a^2)^(2/3)) - 3*(5*a^2*b*x^2 - 3*a^3)*(b*x^2 + a)^(1/3))/(a^4*x^4)","A",0
721,0,0,0,1.068876," ","integrate(x^4/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral(x^4/(b*x^2 + a)^(2/3), x)","F",0
722,0,0,0,1.371968," ","integrate(x^2/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral(x^2/(b*x^2 + a)^(2/3), x)","F",0
723,0,0,0,1.198447," ","integrate(1/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((b*x^2 + a)^(-2/3), x)","F",0
724,0,0,0,1.264444," ","integrate(1/x^2/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{b x^{4} + a x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)/(b*x^4 + a*x^2), x)","F",0
725,0,0,0,1.081527," ","integrate(1/x^4/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{b x^{6} + a x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)/(b*x^6 + a*x^4), x)","F",0
726,1,58,0,0.879842," ","integrate(x^7/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{3} x^{6} - 9 \, a b^{2} x^{4} + 27 \, a^{2} b x^{2} + 81 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{80 \, {\left(b^{5} x^{2} + a b^{4}\right)}}"," ",0,"3/80*(5*b^3*x^6 - 9*a*b^2*x^4 + 27*a^2*b*x^2 + 81*a^3)*(b*x^2 + a)^(2/3)/(b^5*x^2 + a*b^4)","A",0
727,1,46,0,0.941285," ","integrate(x^5/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} x^{4} - 3 \, a b x^{2} - 9 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{10 \, {\left(b^{4} x^{2} + a b^{3}\right)}}"," ",0,"3/10*(b^2*x^4 - 3*a*b*x^2 - 9*a^2)*(b*x^2 + a)^(2/3)/(b^4*x^2 + a*b^3)","A",0
728,1,35,0,1.095029," ","integrate(x^3/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x^{2} + 3 \, a\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{4 \, {\left(b^{3} x^{2} + a b^{2}\right)}}"," ",0,"3/4*(b*x^2 + 3*a)*(b*x^2 + a)^(2/3)/(b^3*x^2 + a*b^2)","A",0
729,1,24,0,1.017222," ","integrate(x/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{2 \, {\left(b^{2} x^{2} + a b\right)}}"," ",0,"-3/2*(b*x^2 + a)^(2/3)/(b^2*x^2 + a*b)","A",0
730,1,327,0,1.730324," ","integrate(1/x/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} {\left(a b x^{2} + a^{2}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{2} + \sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) - {\left(b x^{2} + a\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 2 \, {\left(b x^{2} + a\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 6 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{4 \, {\left(a^{2} b x^{2} + a^{3}\right)}}, -\frac{{\left(b x^{2} + a\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) - 2 \, {\left(b x^{2} + a\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - \frac{2 \, \sqrt{3} {\left(a b x^{2} + a^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} - 6 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{4 \, {\left(a^{2} b x^{2} + a^{3}\right)}}\right]"," ",0,"[1/4*(sqrt(3)*(a*b*x^2 + a^2)*sqrt(-1/a^(2/3))*log((2*b*x^2 + sqrt(3)*(2*(b*x^2 + a)^(2/3)*a^(2/3) - (b*x^2 + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x^2 + a)^(1/3)*a^(2/3) + 3*a)/x^2) - (b*x^2 + a)*a^(2/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*(b*x^2 + a)*a^(2/3)*log((b*x^2 + a)^(1/3) - a^(1/3)) + 6*(b*x^2 + a)^(2/3)*a)/(a^2*b*x^2 + a^3), -1/4*((b*x^2 + a)*a^(2/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) - 2*(b*x^2 + a)*a^(2/3)*log((b*x^2 + a)^(1/3) - a^(1/3)) - 2*sqrt(3)*(a*b*x^2 + a^2)*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 6*(b*x^2 + a)^(2/3)*a)/(a^2*b*x^2 + a^3)]","A",0
731,1,453,0,1.184880," ","integrate(1/x^3/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{4} + a^{2} b x^{2}\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) + 2 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 4 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) - 3 \, {\left(4 \, a b x^{2} + a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{6 \, {\left(a^{3} b x^{4} + a^{4} x^{2}\right)}}, -\frac{12 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{4} + a^{2} b x^{2}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) - 2 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) + 4 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x^{2} + a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{6 \, {\left(a^{3} b x^{4} + a^{4} x^{2}\right)}}\right]"," ",0,"[1/6*(6*sqrt(1/3)*(a*b^2*x^4 + a^2*b*x^2)*sqrt((-a)^(1/3)/a)*log((2*b*x^2 - 3*sqrt(1/3)*(2*(b*x^2 + a)^(2/3)*(-a)^(2/3) - (b*x^2 + a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x^2 + a)^(1/3)*(-a)^(2/3) + 3*a)/x^2) + 2*(b^2*x^4 + a*b*x^2)*(-a)^(2/3)*log((b*x^2 + a)^(2/3) - (b*x^2 + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 4*(b^2*x^4 + a*b*x^2)*(-a)^(2/3)*log((b*x^2 + a)^(1/3) + (-a)^(1/3)) - 3*(4*a*b*x^2 + a^2)*(b*x^2 + a)^(2/3))/(a^3*b*x^4 + a^4*x^2), -1/6*(12*sqrt(1/3)*(a*b^2*x^4 + a^2*b*x^2)*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x^2 + a)^(1/3) - (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) - 2*(b^2*x^4 + a*b*x^2)*(-a)^(2/3)*log((b*x^2 + a)^(2/3) - (b*x^2 + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) + 4*(b^2*x^4 + a*b*x^2)*(-a)^(2/3)*log((b*x^2 + a)^(1/3) + (-a)^(1/3)) + 3*(4*a*b*x^2 + a^2)*(b*x^2 + a)^(2/3))/(a^3*b*x^4 + a^4*x^2)]","B",0
732,1,437,0,1.582720," ","integrate(1/x^5/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\left[\frac{42 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{6} + a^{2} b^{2} x^{4}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x^{2}}\right) - 14 \, {\left(b^{3} x^{6} + a b^{2} x^{4}\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + 28 \, {\left(b^{3} x^{6} + a b^{2} x^{4}\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(28 \, a b^{2} x^{4} + 7 \, a^{2} b x^{2} - 3 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{36 \, {\left(a^{4} b x^{6} + a^{5} x^{4}\right)}}, -\frac{14 \, {\left(b^{3} x^{6} + a b^{2} x^{4}\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{2}{3}} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) - 28 \, {\left(b^{3} x^{6} + a b^{2} x^{4}\right)} a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - \frac{84 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{6} + a^{2} b^{2} x^{4}\right)} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} - 3 \, {\left(28 \, a b^{2} x^{4} + 7 \, a^{2} b x^{2} - 3 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{36 \, {\left(a^{4} b x^{6} + a^{5} x^{4}\right)}}\right]"," ",0,"[1/36*(42*sqrt(1/3)*(a*b^3*x^6 + a^2*b^2*x^4)*sqrt(-1/a^(2/3))*log((2*b*x^2 + 3*sqrt(1/3)*(2*(b*x^2 + a)^(2/3)*a^(2/3) - (b*x^2 + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x^2 + a)^(1/3)*a^(2/3) + 3*a)/x^2) - 14*(b^3*x^6 + a*b^2*x^4)*a^(2/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 28*(b^3*x^6 + a*b^2*x^4)*a^(2/3)*log((b*x^2 + a)^(1/3) - a^(1/3)) + 3*(28*a*b^2*x^4 + 7*a^2*b*x^2 - 3*a^3)*(b*x^2 + a)^(2/3))/(a^4*b*x^6 + a^5*x^4), -1/36*(14*(b^3*x^6 + a*b^2*x^4)*a^(2/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) - 28*(b^3*x^6 + a*b^2*x^4)*a^(2/3)*log((b*x^2 + a)^(1/3) - a^(1/3)) - 84*sqrt(1/3)*(a*b^3*x^6 + a^2*b^2*x^4)*arctan(sqrt(1/3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 3*(28*a*b^2*x^4 + 7*a^2*b*x^2 - 3*a^3)*(b*x^2 + a)^(2/3))/(a^4*b*x^6 + a^5*x^4)]","A",0
733,0,0,0,1.012904," ","integrate(x^4/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{4}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)*x^4/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
734,0,0,0,1.311281," ","integrate(x^2/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{2}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)*x^2/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
735,0,0,0,0.804327," ","integrate(1/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
736,0,0,0,0.934380," ","integrate(1/x^2/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{b^{2} x^{6} + 2 \, a b x^{4} + a^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)/(b^2*x^6 + 2*a*b*x^4 + a^2*x^2), x)","F",0
737,0,0,0,1.208586," ","integrate(1/x^4/(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{b^{2} x^{8} + 2 \, a b x^{6} + a^{2} x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(2/3)/(b^2*x^8 + 2*a*b*x^6 + a^2*x^4), x)","F",0
738,-1,0,0,0.000000," ","integrate((c*x)^(13/3)*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
739,-1,0,0,0.000000," ","integrate((c*x)^(7/3)*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
740,-1,0,0,0.000000," ","integrate((c*x)^(1/3)*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
741,-1,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(5/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
742,1,25,0,1.257121," ","integrate((b*x^2+a)^(1/3)/(c*x)^(11/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{1}{3}}}{8 \, a c^{4} x^{3}}"," ",0,"-3/8*(b*x^2 + a)^(4/3)*(c*x)^(1/3)/(a*c^4*x^3)","A",0
743,1,46,0,1.296085," ","integrate((b*x^2+a)^(1/3)/(c*x)^(17/3),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, b^{2} x^{4} - a b x^{2} - 4 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{56 \, a^{2} c^{6} x^{5}}"," ",0,"3/56*(3*b^2*x^4 - a*b*x^2 - 4*a^2)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^2*c^6*x^5)","A",0
744,1,57,0,1.266624," ","integrate((b*x^2+a)^(1/3)/(c*x)^(23/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, b^{3} x^{6} - 3 \, a b^{2} x^{4} + 2 \, a^{2} b x^{2} + 14 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{280 \, a^{3} c^{8} x^{7}}"," ",0,"-3/280*(9*b^3*x^6 - 3*a*b^2*x^4 + 2*a^2*b*x^2 + 14*a^3)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^3*c^8*x^7)","A",0
745,1,68,0,1.218051," ","integrate((b*x^2+a)^(1/3)/(c*x)^(29/3),x, algorithm=""fricas"")","\frac{3 \, {\left(81 \, b^{4} x^{8} - 27 \, a b^{3} x^{6} + 18 \, a^{2} b^{2} x^{4} - 14 \, a^{3} b x^{2} - 140 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{3640 \, a^{4} c^{10} x^{9}}"," ",0,"3/3640*(81*b^4*x^8 - 27*a*b^3*x^6 + 18*a^2*b^2*x^4 - 14*a^3*b*x^2 - 140*a^4)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^4*c^10*x^9)","A",0
746,0,0,0,1.345235," ","integrate((c*x)^(10/3)*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}} c^{3} x^{3}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)*c^3*x^3, x)","F",0
747,0,0,0,1.133327," ","integrate((c*x)^(4/3)*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}} c x, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)*c*x, x)","F",0
748,0,0,0,0.841387," ","integrate((b*x^2+a)^(1/3)/(c*x)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)/(c*x), x)","F",0
749,0,0,0,0.886033," ","integrate((b*x^2+a)^(1/3)/(c*x)^(8/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{c^{3} x^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)/(c^3*x^3), x)","F",0
750,0,0,0,0.861991," ","integrate((b*x^2+a)^(1/3)/(c*x)^(14/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{c^{5} x^{5}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)/(c^5*x^5), x)","F",0
751,0,0,0,0.903056," ","integrate((c*x)^(2/3)*(b*x^2+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(2/3), x)","F",0
752,0,0,0,1.097654," ","integrate((b*x^2+a)^(1/3)/(c*x)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{2}{3}}}{c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(2/3)/(c*x), x)","F",0
753,0,0,0,1.000582," ","integrate((b*x^2+a)^(1/3)/(c*x)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{2}{3}}}{c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(2/3)/(c^2*x^2), x)","F",0
754,-1,0,0,0.000000," ","integrate((c*x)^(13/3)*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
755,-1,0,0,0.000000," ","integrate((c*x)^(7/3)*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
756,-1,0,0,0.000000," ","integrate((c*x)^(1/3)*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
757,-1,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(5/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
758,-1,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(11/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
759,1,43,0,1.826772," ","integrate((b*x^2+a)^(4/3)/(c*x)^(17/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{14 \, a c^{6} x^{5}}"," ",0,"-3/14*(b^2*x^4 + 2*a*b*x^2 + a^2)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a*c^6*x^5)","A",0
760,1,57,0,1.760889," ","integrate((b*x^2+a)^(4/3)/(c*x)^(23/3),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, b^{3} x^{6} - a b^{2} x^{4} - 11 \, a^{2} b x^{2} - 7 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{140 \, a^{2} c^{8} x^{7}}"," ",0,"3/140*(3*b^3*x^6 - a*b^2*x^4 - 11*a^2*b*x^2 - 7*a^3)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^2*c^8*x^7)","A",0
761,1,68,0,1.724642," ","integrate((b*x^2+a)^(4/3)/(c*x)^(29/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, b^{4} x^{8} - 3 \, a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{4} + 49 \, a^{3} b x^{2} + 35 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{910 \, a^{3} c^{10} x^{9}}"," ",0,"-3/910*(9*b^4*x^8 - 3*a*b^3*x^6 + 2*a^2*b^2*x^4 + 49*a^3*b*x^2 + 35*a^4)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^3*c^10*x^9)","A",0
762,0,0,0,1.589724," ","integrate((c*x)^(10/3)*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b c^{3} x^{5} + a c^{3} x^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((b*c^3*x^5 + a*c^3*x^3)*(b*x^2 + a)^(1/3)*(c*x)^(1/3), x)","F",0
763,0,0,0,1.785382," ","integrate((c*x)^(4/3)*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b c x^{3} + a c x\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((b*c*x^3 + a*c*x)*(b*x^2 + a)^(1/3)*(c*x)^(1/3), x)","F",0
764,0,0,0,1.165411," ","integrate((b*x^2+a)^(4/3)/(c*x)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{1}{3}}}{c x}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)*(c*x)^(1/3)/(c*x), x)","F",0
765,0,0,0,1.542211," ","integrate((b*x^2+a)^(4/3)/(c*x)^(8/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{1}{3}}}{c^{3} x^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)*(c*x)^(1/3)/(c^3*x^3), x)","F",0
766,0,0,0,1.470571," ","integrate((b*x^2+a)^(4/3)/(c*x)^(14/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{1}{3}}}{c^{5} x^{5}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)*(c*x)^(1/3)/(c^5*x^5), x)","F",0
767,0,0,0,1.545258," ","integrate((b*x^2+a)^(4/3)/(c*x)^(20/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{1}{3}}}{c^{7} x^{7}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)*(c*x)^(1/3)/(c^7*x^7), x)","F",0
768,0,0,0,1.562585," ","integrate((c*x)^(2/3)*(b*x^2+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)*(c*x)^(2/3), x)","F",0
769,0,0,0,1.535398," ","integrate((b*x^2+a)^(4/3)/(c*x)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{2}{3}}}{c x}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)*(c*x)^(2/3)/(c*x), x)","F",0
770,0,0,0,1.628253," ","integrate((b*x^2+a)^(4/3)/(c*x)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{2}{3}}}{c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(4/3)*(c*x)^(2/3)/(c^2*x^2), x)","F",0
771,-1,0,0,0.000000," ","integrate((c*x)^(19/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
772,-1,0,0,0.000000," ","integrate((c*x)^(13/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
773,-1,0,0,0.000000," ","integrate((c*x)^(7/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
774,-1,0,0,0.000000," ","integrate((c*x)^(1/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
775,1,25,0,1.642240," ","integrate(1/(c*x)^(5/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{2 \, a c^{2} x}"," ",0,"-3/2*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a*c^2*x)","A",0
776,1,35,0,1.549276," ","integrate(1/(c*x)^(11/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, b x^{2} - a\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{8 \, a^{2} c^{4} x^{3}}"," ",0,"3/8*(3*b*x^2 - a)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^2*c^4*x^3)","A",0
777,1,46,0,1.517949," ","integrate(1/(c*x)^(17/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, b^{2} x^{4} - 3 \, a b x^{2} + 2 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{28 \, a^{3} c^{6} x^{5}}"," ",0,"-3/28*(9*b^2*x^4 - 3*a*b*x^2 + 2*a^2)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^3*c^6*x^5)","A",0
778,1,57,0,1.698173," ","integrate(1/(c*x)^(23/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(81 \, b^{3} x^{6} - 27 \, a b^{2} x^{4} + 18 \, a^{2} b x^{2} - 14 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{280 \, a^{4} c^{8} x^{7}}"," ",0,"3/280*(81*b^3*x^6 - 27*a*b^2*x^4 + 18*a^2*b*x^2 - 14*a^3)*(b*x^2 + a)^(1/3)*(c*x)^(1/3)/(a^4*c^8*x^7)","A",0
779,0,0,0,1.819350," ","integrate((c*x)^(10/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{\frac{1}{3}} c^{3} x^{3}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((c*x)^(1/3)*c^3*x^3/(b*x^2 + a)^(2/3), x)","F",0
780,0,0,0,1.632738," ","integrate((c*x)^(4/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{\frac{1}{3}} c x}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((c*x)^(1/3)*c*x/(b*x^2 + a)^(2/3), x)","F",0
781,0,0,0,1.505535," ","integrate(1/(c*x)^(2/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{b c x^{3} + a c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)/(b*c*x^3 + a*c*x), x)","F",0
782,0,0,0,0.887210," ","integrate(1/(c*x)^(8/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{b c^{3} x^{5} + a c^{3} x^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)/(b*c^3*x^5 + a*c^3*x^3), x)","F",0
783,0,0,0,1.234123," ","integrate(1/(c*x)^(14/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}}{b c^{5} x^{7} + a c^{5} x^{5}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(1/3)/(b*c^5*x^7 + a*c^5*x^5), x)","F",0
784,0,0,0,1.467123," ","integrate((c*x)^(2/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{\frac{2}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((c*x)^(2/3)/(b*x^2 + a)^(2/3), x)","F",0
785,0,0,0,1.368267," ","integrate(1/(c*x)^(1/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{2}{3}}}{b c x^{3} + a c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(2/3)/(b*c*x^3 + a*c*x), x)","F",0
786,0,0,0,1.327537," ","integrate(1/(c*x)^(4/3)/(b*x^2+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{2}{3}}}{b c^{2} x^{4} + a c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/3)*(c*x)^(2/3)/(b*c^2*x^4 + a*c^2*x^2), x)","F",0
787,0,0,0,0.876859," ","integrate(x^4*(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{4}} x^{4}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*x^4, x)","F",0
788,0,0,0,1.381051," ","integrate(x^2*(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{4}} x^{2}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*x^2, x)","F",0
789,0,0,0,1.350856," ","integrate((b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4), x)","F",0
790,0,0,0,1.486271," ","integrate((b*x^2+a)^(1/4)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/x^2, x)","F",0
791,0,0,0,1.470250," ","integrate((b*x^2+a)^(1/4)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/x^4, x)","F",0
792,0,0,0,1.283109," ","integrate((b*x^2+a)^(1/4)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/x^6, x)","F",0
793,0,0,0,1.331855," ","integrate(x^4*(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{4}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)*x^4, x)","F",0
794,0,0,0,1.391540," ","integrate(x^2*(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{2}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)*x^2, x)","F",0
795,0,0,0,1.635210," ","integrate((-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{1}{4}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4), x)","F",0
796,0,0,0,1.471481," ","integrate((-b*x^2+a)^(1/4)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{x^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)/x^2, x)","F",0
797,0,0,0,1.492934," ","integrate((-b*x^2+a)^(1/4)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{x^{4}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)/x^4, x)","F",0
798,0,0,0,1.257785," ","integrate((-b*x^2+a)^(1/4)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{x^{6}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)/x^6, x)","F",0
799,0,0,0,1.367360," ","integrate(x^4*(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{4}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*x^4, x)","F",0
800,0,0,0,1.181515," ","integrate(x^2*(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{2}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*x^2, x)","F",0
801,0,0,0,0.926092," ","integrate((b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{3}{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4), x)","F",0
802,0,0,0,1.434332," ","integrate((b*x^2+a)^(3/4)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/x^2, x)","F",0
803,0,0,0,0.844456," ","integrate((b*x^2+a)^(3/4)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/x^4, x)","F",0
804,0,0,0,1.548349," ","integrate((b*x^2+a)^(3/4)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/x^6, x)","F",0
805,0,0,0,0.726215," ","integrate(x^4*(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{4}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)*x^4, x)","F",0
806,0,0,0,1.327827," ","integrate(x^2*(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{2}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)*x^2, x)","F",0
807,0,0,0,1.324780," ","integrate((-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{3}{4}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4), x)","F",0
808,0,0,0,1.423009," ","integrate((-b*x^2+a)^(3/4)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{x^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)/x^2, x)","F",0
809,0,0,0,1.428209," ","integrate((-b*x^2+a)^(3/4)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{x^{4}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)/x^4, x)","F",0
810,0,0,0,1.378138," ","integrate((-b*x^2+a)^(3/4)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{x^{6}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)/x^6, x)","F",0
811,0,0,0,1.319988," ","integrate((b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{5}{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/4), x)","F",0
812,0,0,0,1.742309," ","integrate((-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{5}{4}}, x\right)"," ",0,"integral((-b*x^2 + a)^(5/4), x)","F",0
813,0,0,0,1.867469," ","integrate((b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{7}{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(7/4), x)","F",0
814,0,0,0,1.170335," ","integrate((-b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{7}{4}}, x\right)"," ",0,"integral((-b*x^2 + a)^(7/4), x)","F",0
815,0,0,0,1.028272," ","integrate(x^6/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^6/(b*x^2 + a)^(1/4), x)","F",0
816,0,0,0,0.787014," ","integrate(x^4/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^4/(b*x^2 + a)^(1/4), x)","F",0
817,0,0,0,1.115617," ","integrate(x^2/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^2/(b*x^2 + a)^(1/4), x)","F",0
818,0,0,0,1.397891," ","integrate(1/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((b*x^2 + a)^(-1/4), x)","F",0
819,0,0,0,1.062535," ","integrate(1/x^2/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b x^{4} + a x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b*x^4 + a*x^2), x)","F",0
820,0,0,0,1.629246," ","integrate(1/x^4/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b x^{6} + a x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b*x^6 + a*x^4), x)","F",0
821,0,0,0,1.505702," ","integrate(1/x^6/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b x^{8} + a x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b*x^8 + a*x^6), x)","F",0
822,0,0,0,0.902689," ","integrate(x^6/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{6}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*x^6/(b*x^2 - a), x)","F",0
823,0,0,0,1.485356," ","integrate(x^4/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{4}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*x^4/(b*x^2 - a), x)","F",0
824,0,0,0,1.038594," ","integrate(x^2/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{2}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*x^2/(b*x^2 - a), x)","F",0
825,0,0,0,0.732751," ","integrate(1/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)/(b*x^2 - a), x)","F",0
826,0,0,0,0.887841," ","integrate(1/x^2/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b x^{4} - a x^{2}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)/(b*x^4 - a*x^2), x)","F",0
827,0,0,0,1.539774," ","integrate(1/x^4/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b x^{6} - a x^{4}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)/(b*x^6 - a*x^4), x)","F",0
828,0,0,0,0.822754," ","integrate(1/x^6/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b x^{8} - a x^{6}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)/(b*x^8 - a*x^6), x)","F",0
829,0,0,0,1.070644," ","integrate(x^6/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^6/(b*x^2 + a)^(3/4), x)","F",0
830,0,0,0,0.978254," ","integrate(x^4/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^4/(b*x^2 + a)^(3/4), x)","F",0
831,0,0,0,1.336684," ","integrate(x^2/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^2/(b*x^2 + a)^(3/4), x)","F",0
832,0,0,0,0.718887," ","integrate(1/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((b*x^2 + a)^(-3/4), x)","F",0
833,0,0,0,1.294872," ","integrate(1/x^2/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{b x^{4} + a x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/(b*x^4 + a*x^2), x)","F",0
834,0,0,0,1.087860," ","integrate(1/x^4/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{b x^{6} + a x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/(b*x^6 + a*x^4), x)","F",0
835,0,0,0,1.161900," ","integrate(1/x^6/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{b x^{8} + a x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/(b*x^8 + a*x^6), x)","F",0
836,0,0,0,1.182494," ","integrate(x^6/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{6}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*x^6/(b*x^2 - a), x)","F",0
837,0,0,0,1.108935," ","integrate(x^4/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{4}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*x^4/(b*x^2 - a), x)","F",0
838,0,0,0,1.144151," ","integrate(x^2/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{2}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*x^2/(b*x^2 - a), x)","F",0
839,0,0,0,0.948516," ","integrate(1/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)/(b*x^2 - a), x)","F",0
840,0,0,0,1.034411," ","integrate(1/x^2/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{b x^{4} - a x^{2}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)/(b*x^4 - a*x^2), x)","F",0
841,0,0,0,0.730980," ","integrate(1/x^4/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{b x^{6} - a x^{4}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)/(b*x^6 - a*x^4), x)","F",0
842,0,0,0,1.682593," ","integrate(1/x^6/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{b x^{8} - a x^{6}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)/(b*x^8 - a*x^6), x)","F",0
843,0,0,0,0.799424," ","integrate(x^6/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{6}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*x^6/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
844,0,0,0,1.317106," ","integrate(x^4/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{4}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*x^4/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
845,0,0,0,1.142800," ","integrate(x^2/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{2}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*x^2/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
846,0,0,0,1.258981," ","integrate(1/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
847,0,0,0,1.106732," ","integrate(1/x^2/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{6} + 2 \, a b x^{4} + a^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b^2*x^6 + 2*a*b*x^4 + a^2*x^2), x)","F",0
848,0,0,0,1.334586," ","integrate(1/x^4/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{8} + 2 \, a b x^{6} + a^{2} x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b^2*x^8 + 2*a*b*x^6 + a^2*x^4), x)","F",0
849,0,0,0,1.622593," ","integrate(1/x^6/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{10} + 2 \, a b x^{8} + a^{2} x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b^2*x^10 + 2*a*b*x^8 + a^2*x^6), x)","F",0
850,0,0,0,1.093488," ","integrate(x^6/(-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{6}}{b^{2} x^{4} - 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)*x^6/(b^2*x^4 - 2*a*b*x^2 + a^2), x)","F",0
851,0,0,0,0.953554," ","integrate(x^4/(-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{4}}{b^{2} x^{4} - 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)*x^4/(b^2*x^4 - 2*a*b*x^2 + a^2), x)","F",0
852,0,0,0,1.225561," ","integrate(x^2/(-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{2}}{b^{2} x^{4} - 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)*x^2/(b^2*x^4 - 2*a*b*x^2 + a^2), x)","F",0
853,0,0,0,1.134075," ","integrate(1/(-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{4} - 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)/(b^2*x^4 - 2*a*b*x^2 + a^2), x)","F",0
854,0,0,0,0.992010," ","integrate(1/x^2/(-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{6} - 2 \, a b x^{4} + a^{2} x^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)/(b^2*x^6 - 2*a*b*x^4 + a^2*x^2), x)","F",0
855,0,0,0,1.105858," ","integrate(1/x^4/(-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{8} - 2 \, a b x^{6} + a^{2} x^{4}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)/(b^2*x^8 - 2*a*b*x^6 + a^2*x^4), x)","F",0
856,0,0,0,1.060083," ","integrate(1/x^6/(-b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b^{2} x^{10} - 2 \, a b x^{8} + a^{2} x^{6}}, x\right)"," ",0,"integral((-b*x^2 + a)^(3/4)/(b^2*x^10 - 2*a*b*x^8 + a^2*x^6), x)","F",0
857,0,0,0,0.891306," ","integrate(1/(b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
858,0,0,0,1.233637," ","integrate(1/(b*x^2+a)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
859,0,0,0,0.894898," ","integrate(1/(b*x^2+a)^(11/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{b^{3} x^{6} + 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} + a^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)/(b^3*x^6 + 3*a*b^2*x^4 + 3*a^2*b*x^2 + a^3), x)","F",0
860,0,0,0,1.310086," ","integrate(1/(-b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{b^{2} x^{4} - 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)/(b^2*x^4 - 2*a*b*x^2 + a^2), x)","F",0
861,0,0,0,1.270278," ","integrate(1/(-b*x^2+a)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{b^{3} x^{6} - 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} - a^{3}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)/(b^3*x^6 - 3*a*b^2*x^4 + 3*a^2*b*x^2 - a^3), x)","F",0
862,0,0,0,1.080891," ","integrate(1/(-b*x^2+a)^(11/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{b^{3} x^{6} - 3 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} - a^{3}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)/(b^3*x^6 - 3*a*b^2*x^4 + 3*a^2*b*x^2 - a^3), x)","F",0
863,0,0,0,0.993076," ","integrate(x^6/(3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^6/(3*x^2 + 2)^(1/4), x)","F",0
864,0,0,0,1.308001," ","integrate(x^4/(3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^4/(3*x^2 + 2)^(1/4), x)","F",0
865,0,0,0,0.933059," ","integrate(x^2/(3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^2/(3*x^2 + 2)^(1/4), x)","F",0
866,0,0,0,1.552983," ","integrate(1/(3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((3*x^2 + 2)^(-1/4), x)","F",0
867,0,0,0,1.266040," ","integrate(1/x^2/(3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}{3 \, x^{4} + 2 \, x^{2}}, x\right)"," ",0,"integral((3*x^2 + 2)^(3/4)/(3*x^4 + 2*x^2), x)","F",0
868,0,0,0,1.308097," ","integrate(1/x^4/(3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}{3 \, x^{6} + 2 \, x^{4}}, x\right)"," ",0,"integral((3*x^2 + 2)^(3/4)/(3*x^6 + 2*x^4), x)","F",0
869,0,0,0,1.368695," ","integrate(1/x^6/(3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}{3 \, x^{8} + 2 \, x^{6}}, x\right)"," ",0,"integral((3*x^2 + 2)^(3/4)/(3*x^8 + 2*x^6), x)","F",0
870,0,0,0,0.894740," ","integrate(x^6/(-3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{6}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(3/4)*x^6/(3*x^2 - 2), x)","F",0
871,0,0,0,1.203451," ","integrate(x^4/(-3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{4}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(3/4)*x^4/(3*x^2 - 2), x)","F",0
872,0,0,0,0.803249," ","integrate(x^2/(-3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{2}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(3/4)*x^2/(3*x^2 - 2), x)","F",0
873,0,0,0,0.980669," ","integrate(1/(-3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(3/4)/(3*x^2 - 2), x)","F",0
874,0,0,0,0.827096," ","integrate(1/x^2/(-3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}{3 \, x^{4} - 2 \, x^{2}}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(3/4)/(3*x^4 - 2*x^2), x)","F",0
875,0,0,0,0.766224," ","integrate(1/x^4/(-3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}{3 \, x^{6} - 2 \, x^{4}}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(3/4)/(3*x^6 - 2*x^4), x)","F",0
876,0,0,0,2.122984," ","integrate(1/x^6/(-3*x^2+2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}{3 \, x^{8} - 2 \, x^{6}}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(3/4)/(3*x^8 - 2*x^6), x)","F",0
877,0,0,0,0.754524," ","integrate(x^6/(3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^6/(3*x^2 + 2)^(3/4), x)","F",0
878,0,0,0,2.002550," ","integrate(x^4/(3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^4/(3*x^2 + 2)^(3/4), x)","F",0
879,0,0,0,1.495898," ","integrate(x^2/(3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^2/(3*x^2 + 2)^(3/4), x)","F",0
880,0,0,0,0.998425," ","integrate(1/(3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((3*x^2 + 2)^(-3/4), x)","F",0
881,0,0,0,1.223670," ","integrate(1/x^2/(3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}{3 \, x^{4} + 2 \, x^{2}}, x\right)"," ",0,"integral((3*x^2 + 2)^(1/4)/(3*x^4 + 2*x^2), x)","F",0
882,0,0,0,1.216838," ","integrate(1/x^4/(3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}{3 \, x^{6} + 2 \, x^{4}}, x\right)"," ",0,"integral((3*x^2 + 2)^(1/4)/(3*x^6 + 2*x^4), x)","F",0
883,0,0,0,2.139578," ","integrate(1/x^6/(3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}{3 \, x^{8} + 2 \, x^{6}}, x\right)"," ",0,"integral((3*x^2 + 2)^(1/4)/(3*x^8 + 2*x^6), x)","F",0
884,0,0,0,1.188667," ","integrate(x^6/(-3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{6}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(1/4)*x^6/(3*x^2 - 2), x)","F",0
885,0,0,0,1.013057," ","integrate(x^4/(-3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{4}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(1/4)*x^4/(3*x^2 - 2), x)","F",0
886,0,0,0,0.768790," ","integrate(x^2/(-3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{2}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(1/4)*x^2/(3*x^2 - 2), x)","F",0
887,0,0,0,0.762580," ","integrate(1/(-3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}{3 \, x^{2} - 2}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(1/4)/(3*x^2 - 2), x)","F",0
888,0,0,0,0.824644," ","integrate(1/x^2/(-3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}{3 \, x^{4} - 2 \, x^{2}}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(1/4)/(3*x^4 - 2*x^2), x)","F",0
889,0,0,0,1.223923," ","integrate(1/x^4/(-3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}{3 \, x^{6} - 2 \, x^{4}}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(1/4)/(3*x^6 - 2*x^4), x)","F",0
890,0,0,0,0.784492," ","integrate(1/x^6/(-3*x^2+2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}{3 \, x^{8} - 2 \, x^{6}}, x\right)"," ",0,"integral(-(-3*x^2 + 2)^(1/4)/(3*x^8 - 2*x^6), x)","F",0
891,0,0,0,0.973439," ","integrate(x^6/(3*x^2-2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^6/(3*x^2 - 2)^(1/4), x)","F",0
892,0,0,0,0.732160," ","integrate(x^4/(3*x^2-2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^4/(3*x^2 - 2)^(1/4), x)","F",0
893,0,0,0,0.789255," ","integrate(x^2/(3*x^2-2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(x^2/(3*x^2 - 2)^(1/4), x)","F",0
894,0,0,0,0.769610," ","integrate(1/(3*x^2-2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((3*x^2 - 2)^(-1/4), x)","F",0
895,0,0,0,1.141458," ","integrate(1/x^2/(3*x^2-2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{3 \, x^{4} - 2 \, x^{2}}, x\right)"," ",0,"integral((3*x^2 - 2)^(3/4)/(3*x^4 - 2*x^2), x)","F",0
896,0,0,0,1.490598," ","integrate(1/x^4/(3*x^2-2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{3 \, x^{6} - 2 \, x^{4}}, x\right)"," ",0,"integral((3*x^2 - 2)^(3/4)/(3*x^6 - 2*x^4), x)","F",0
897,0,0,0,1.051978," ","integrate(1/x^6/(3*x^2-2)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{3 \, x^{8} - 2 \, x^{6}}, x\right)"," ",0,"integral((3*x^2 - 2)^(3/4)/(3*x^8 - 2*x^6), x)","F",0
898,0,0,0,1.009730," ","integrate(x^6/(-3*x^2-2)^(1/4),x, algorithm=""fricas"")","\frac{3159 \, x {\rm integral}\left(\frac{256 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{3159 \, {\left(3 \, x^{4} + 2 \, x^{2}\right)}}, x\right) - 2 \, {\left(81 \, x^{6} - 60 \, x^{4} + 48 \, x^{2} - 64\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{3159 \, x}"," ",0,"1/3159*(3159*x*integral(256/3159*(-3*x^2 - 2)^(3/4)/(3*x^4 + 2*x^2), x) - 2*(81*x^6 - 60*x^4 + 48*x^2 - 64)*(-3*x^2 - 2)^(3/4))/x","F",0
899,0,0,0,1.020687," ","integrate(x^4/(-3*x^2-2)^(1/4),x, algorithm=""fricas"")","\frac{405 \, x {\rm integral}\left(-\frac{64 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{405 \, {\left(3 \, x^{4} + 2 \, x^{2}\right)}}, x\right) - 2 \, {\left(15 \, x^{4} - 12 \, x^{2} + 16\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{405 \, x}"," ",0,"1/405*(405*x*integral(-64/405*(-3*x^2 - 2)^(3/4)/(3*x^4 + 2*x^2), x) - 2*(15*x^4 - 12*x^2 + 16)*(-3*x^2 - 2)^(3/4))/x","F",0
900,0,0,0,0.999652," ","integrate(x^2/(-3*x^2-2)^(1/4),x, algorithm=""fricas"")","\frac{45 \, x {\rm integral}\left(\frac{16 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{45 \, {\left(3 \, x^{4} + 2 \, x^{2}\right)}}, x\right) - 2 \, {\left(3 \, x^{2} - 4\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{45 \, x}"," ",0,"1/45*(45*x*integral(16/45*(-3*x^2 - 2)^(3/4)/(3*x^4 + 2*x^2), x) - 2*(3*x^2 - 4)*(-3*x^2 - 2)^(3/4))/x","F",0
901,0,0,0,0.975852," ","integrate(1/(-3*x^2-2)^(1/4),x, algorithm=""fricas"")","\frac{3 \, x {\rm integral}\left(-\frac{4 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{3 \, {\left(3 \, x^{4} + 2 \, x^{2}\right)}}, x\right) - 2 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{3 \, x}"," ",0,"1/3*(3*x*integral(-4/3*(-3*x^2 - 2)^(3/4)/(3*x^4 + 2*x^2), x) - 2*(-3*x^2 - 2)^(3/4))/x","F",0
902,0,0,0,0.888597," ","integrate(1/x^2/(-3*x^2-2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, x {\rm integral}\left(-\frac{3 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{4 \, {\left(3 \, x^{2} + 2\right)}}, x\right) + {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{2 \, x}"," ",0,"1/2*(2*x*integral(-3/4*(-3*x^2 - 2)^(3/4)/(3*x^2 + 2), x) + (-3*x^2 - 2)^(3/4))/x","F",0
903,0,0,0,1.099909," ","integrate(1/x^4/(-3*x^2-2)^(1/4),x, algorithm=""fricas"")","\frac{24 \, x^{3} {\rm integral}\left(\frac{9 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{16 \, {\left(3 \, x^{2} + 2\right)}}, x\right) - {\left(9 \, x^{2} - 4\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{24 \, x^{3}}"," ",0,"1/24*(24*x^3*integral(9/16*(-3*x^2 - 2)^(3/4)/(3*x^2 + 2), x) - (9*x^2 - 4)*(-3*x^2 - 2)^(3/4))/x^3","F",0
904,0,0,0,0.731212," ","integrate(1/x^6/(-3*x^2-2)^(1/4),x, algorithm=""fricas"")","\frac{160 \, x^{5} {\rm integral}\left(-\frac{189 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{320 \, {\left(3 \, x^{2} + 2\right)}}, x\right) + {\left(63 \, x^{4} - 28 \, x^{2} + 16\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}{160 \, x^{5}}"," ",0,"1/160*(160*x^5*integral(-189/320*(-3*x^2 - 2)^(3/4)/(3*x^2 + 2), x) + (63*x^4 - 28*x^2 + 16)*(-3*x^2 - 2)^(3/4))/x^5","F",0
905,0,0,0,1.169331," ","integrate(x^6/(3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^6/(3*x^2 - 2)^(3/4), x)","F",0
906,0,0,0,1.091967," ","integrate(x^4/(3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^4/(3*x^2 - 2)^(3/4), x)","F",0
907,0,0,0,1.155543," ","integrate(x^2/(3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(x^2/(3*x^2 - 2)^(3/4), x)","F",0
908,0,0,0,0.947735," ","integrate(1/(3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((3*x^2 - 2)^(-3/4), x)","F",0
909,0,0,0,1.028440," ","integrate(1/x^2/(3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{3 \, x^{4} - 2 \, x^{2}}, x\right)"," ",0,"integral((3*x^2 - 2)^(1/4)/(3*x^4 - 2*x^2), x)","F",0
910,0,0,0,1.277923," ","integrate(1/x^4/(3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{3 \, x^{6} - 2 \, x^{4}}, x\right)"," ",0,"integral((3*x^2 - 2)^(1/4)/(3*x^6 - 2*x^4), x)","F",0
911,0,0,0,0.996922," ","integrate(1/x^6/(3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{3 \, x^{8} - 2 \, x^{6}}, x\right)"," ",0,"integral((3*x^2 - 2)^(1/4)/(3*x^8 - 2*x^6), x)","F",0
912,0,0,0,1.339383," ","integrate(x^6/(-3*x^2-2)^(3/4),x, algorithm=""fricas"")","-\frac{2}{2079} \, {\left(63 \, x^{5} - 60 \, x^{3} + 80 \, x\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}} + {\rm integral}\left(\frac{320 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{2079 \, {\left(3 \, x^{2} + 2\right)}}, x\right)"," ",0,"-2/2079*(63*x^5 - 60*x^3 + 80*x)*(-3*x^2 - 2)^(1/4) + integral(320/2079*(-3*x^2 - 2)^(1/4)/(3*x^2 + 2), x)","F",0
913,0,0,0,1.019826," ","integrate(x^4/(-3*x^2-2)^(3/4),x, algorithm=""fricas"")","-\frac{2}{63} \, {\left(3 \, x^{3} - 4 \, x\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}} + {\rm integral}\left(-\frac{16 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{63 \, {\left(3 \, x^{2} + 2\right)}}, x\right)"," ",0,"-2/63*(3*x^3 - 4*x)*(-3*x^2 - 2)^(1/4) + integral(-16/63*(-3*x^2 - 2)^(1/4)/(3*x^2 + 2), x)","F",0
914,0,0,0,1.162641," ","integrate(x^2/(-3*x^2-2)^(3/4),x, algorithm=""fricas"")","-\frac{2}{9} \, {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}} x + {\rm integral}\left(\frac{4 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{9 \, {\left(3 \, x^{2} + 2\right)}}, x\right)"," ",0,"-2/9*(-3*x^2 - 2)^(1/4)*x + integral(4/9*(-3*x^2 - 2)^(1/4)/(3*x^2 + 2), x)","F",0
915,0,0,0,0.827653," ","integrate(1/(-3*x^2-2)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{3 \, x^{2} + 2}, x\right)"," ",0,"integral(-(-3*x^2 - 2)^(1/4)/(3*x^2 + 2), x)","F",0
916,0,0,0,0.951861," ","integrate(1/x^2/(-3*x^2-2)^(3/4),x, algorithm=""fricas"")","\frac{2 \, x {\rm integral}\left(\frac{3 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{4 \, {\left(3 \, x^{2} + 2\right)}}, x\right) + {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{2 \, x}"," ",0,"1/2*(2*x*integral(3/4*(-3*x^2 - 2)^(1/4)/(3*x^2 + 2), x) + (-3*x^2 - 2)^(1/4))/x","F",0
917,0,0,0,0.996491," ","integrate(1/x^4/(-3*x^2-2)^(3/4),x, algorithm=""fricas"")","\frac{24 \, x^{3} {\rm integral}\left(-\frac{15 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{16 \, {\left(3 \, x^{2} + 2\right)}}, x\right) - {\left(15 \, x^{2} - 4\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{24 \, x^{3}}"," ",0,"1/24*(24*x^3*integral(-15/16*(-3*x^2 - 2)^(1/4)/(3*x^2 + 2), x) - (15*x^2 - 4)*(-3*x^2 - 2)^(1/4))/x^3","F",0
918,0,0,0,0.662712," ","integrate(1/x^6/(-3*x^2-2)^(3/4),x, algorithm=""fricas"")","\frac{160 \, x^{5} {\rm integral}\left(\frac{81 \, {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{64 \, {\left(3 \, x^{2} + 2\right)}}, x\right) + {\left(135 \, x^{4} - 36 \, x^{2} + 16\right)} {\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}{160 \, x^{5}}"," ",0,"1/160*(160*x^5*integral(81/64*(-3*x^2 - 2)^(1/4)/(3*x^2 + 2), x) + (135*x^4 - 36*x^2 + 16)*(-3*x^2 - 2)^(1/4))/x^5","F",0
919,0,0,0,0.696956," ","integrate((c*x)^(7/2)*(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x} c^{3} x^{3}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)*c^3*x^3, x)","F",0
920,0,0,0,1.366111," ","integrate((c*x)^(3/2)*(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x} c x, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)*c*x, x)","F",0
921,0,0,0,0.594751," ","integrate((b*x^2+a)^(1/4)/(c*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(c*x), x)","F",0
922,0,0,0,1.026869," ","integrate((b*x^2+a)^(1/4)/(c*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c^{3} x^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(c^3*x^3), x)","F",0
923,0,0,0,0.932492," ","integrate((b*x^2+a)^(1/4)/(c*x)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c^{5} x^{5}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(c^5*x^5), x)","F",0
924,0,0,0,0.696693," ","integrate((b*x^2+a)^(1/4)/(c*x)^(13/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c^{7} x^{7}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(c^7*x^7), x)","F",0
925,-1,0,0,0.000000," ","integrate((c*x)^(5/2)*(b*x^2+a)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
926,-1,0,0,0.000000," ","integrate((c*x)^(1/2)*(b*x^2+a)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
927,-1,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/(c*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
928,1,25,0,0.852564," ","integrate((b*x^2+a)^(1/4)/(c*x)^(7/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{5}{4}} \sqrt{c x}}{5 \, a c^{4} x^{3}}"," ",0,"-2/5*(b*x^2 + a)^(5/4)*sqrt(c*x)/(a*c^4*x^3)","A",0
929,1,46,0,0.987123," ","integrate((b*x^2+a)^(1/4)/(c*x)^(11/2),x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, b^{2} x^{4} - a b x^{2} - 5 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{45 \, a^{2} c^{6} x^{5}}"," ",0,"2/45*(4*b^2*x^4 - a*b*x^2 - 5*a^2)*(b*x^2 + a)^(1/4)*sqrt(c*x)/(a^2*c^6*x^5)","A",0
930,1,57,0,1.093672," ","integrate((b*x^2+a)^(1/4)/(c*x)^(15/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(32 \, b^{3} x^{6} - 8 \, a b^{2} x^{4} + 5 \, a^{2} b x^{2} + 45 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{585 \, a^{3} c^{8} x^{7}}"," ",0,"-2/585*(32*b^3*x^6 - 8*a*b^2*x^4 + 5*a^2*b*x^2 + 45*a^3)*(b*x^2 + a)^(1/4)*sqrt(c*x)/(a^3*c^8*x^7)","A",0
931,1,68,0,1.263972," ","integrate((b*x^2+a)^(1/4)/(c*x)^(19/2),x, algorithm=""fricas"")","\frac{2 \, {\left(128 \, b^{4} x^{8} - 32 \, a b^{3} x^{6} + 20 \, a^{2} b^{2} x^{4} - 15 \, a^{3} b x^{2} - 195 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{3315 \, a^{4} c^{10} x^{9}}"," ",0,"2/3315*(128*b^4*x^8 - 32*a*b^3*x^6 + 20*a^2*b^2*x^4 - 15*a^3*b*x^2 - 195*a^4)*(b*x^2 + a)^(1/4)*sqrt(c*x)/(a^4*c^10*x^9)","A",0
932,0,0,0,0.773245," ","integrate((c*x)^(3/2)*(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x} c x, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)*sqrt(c*x)*c*x, x)","F",0
933,0,0,0,1.201683," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c x}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)*sqrt(c*x)/(c*x), x)","F",0
934,0,0,0,1.264999," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c^{3} x^{3}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)*sqrt(c*x)/(c^3*x^3), x)","F",0
935,0,0,0,1.265644," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c^{5} x^{5}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)*sqrt(c*x)/(c^5*x^5), x)","F",0
936,0,0,0,1.217383," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(13/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{c^{7} x^{7}}, x\right)"," ",0,"integral((-b*x^2 + a)^(1/4)*sqrt(c*x)/(c^7*x^7), x)","F",0
937,-1,0,0,0.000000," ","integrate((c*x)^(5/2)*(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
938,-1,0,0,0.000000," ","integrate((c*x)^(1/2)*(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
939,-1,0,0,0.000000," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
940,1,35,0,1.103980," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x^{2} - a\right)} {\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{5 \, a c^{4} x^{3}}"," ",0,"2/5*(b*x^2 - a)*(-b*x^2 + a)^(1/4)*sqrt(c*x)/(a*c^4*x^3)","A",0
941,1,46,0,1.465066," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(11/2),x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, b^{2} x^{4} + a b x^{2} - 5 \, a^{2}\right)} {\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{45 \, a^{2} c^{6} x^{5}}"," ",0,"2/45*(4*b^2*x^4 + a*b*x^2 - 5*a^2)*(-b*x^2 + a)^(1/4)*sqrt(c*x)/(a^2*c^6*x^5)","A",0
942,1,58,0,1.490346," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(15/2),x, algorithm=""fricas"")","\frac{2 \, {\left(32 \, b^{3} x^{6} + 8 \, a b^{2} x^{4} + 5 \, a^{2} b x^{2} - 45 \, a^{3}\right)} {\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{585 \, a^{3} c^{8} x^{7}}"," ",0,"2/585*(32*b^3*x^6 + 8*a*b^2*x^4 + 5*a^2*b*x^2 - 45*a^3)*(-b*x^2 + a)^(1/4)*sqrt(c*x)/(a^3*c^8*x^7)","A",0
943,1,69,0,0.826420," ","integrate((-b*x^2+a)^(1/4)/(c*x)^(19/2),x, algorithm=""fricas"")","\frac{2 \, {\left(128 \, b^{4} x^{8} + 32 \, a b^{3} x^{6} + 20 \, a^{2} b^{2} x^{4} + 15 \, a^{3} b x^{2} - 195 \, a^{4}\right)} {\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{3315 \, a^{4} c^{10} x^{9}}"," ",0,"2/3315*(128*b^4*x^8 + 32*a*b^3*x^6 + 20*a^2*b^2*x^4 + 15*a^3*b*x^2 - 195*a^4)*(-b*x^2 + a)^(1/4)*sqrt(c*x)/(a^4*c^10*x^9)","A",0
944,1,314,0,1.200477," ","integrate((c*x)^(3/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c + 4 \, \left(\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} b \arctan\left(-\frac{\left(\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{3}{4}} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a b^{4} c - {\left(b^{5} x^{2} + a b^{4}\right)} \left(\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{3}{4}} \sqrt{\frac{\sqrt{b x^{2} + a} a^{2} c^{3} x + \sqrt{\frac{a^{4} c^{6}}{b^{5}}} {\left(b^{3} x^{2} + a b^{2}\right)}}{b x^{2} + a}}}{a^{4} b c^{6} x^{2} + a^{5} c^{6}}\right) - \left(\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} b \log\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a c + \left(\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} {\left(b^{2} x^{2} + a b\right)}}{b x^{2} + a}\right) + \left(\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} b \log\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a c - \left(\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} {\left(b^{2} x^{2} + a b\right)}}{b x^{2} + a}\right)}{8 \, b}"," ",0,"1/8*(4*(b*x^2 + a)^(3/4)*sqrt(c*x)*c + 4*(a^4*c^6/b^5)^(1/4)*b*arctan(-((a^4*c^6/b^5)^(3/4)*(b*x^2 + a)^(3/4)*sqrt(c*x)*a*b^4*c - (b^5*x^2 + a*b^4)*(a^4*c^6/b^5)^(3/4)*sqrt((sqrt(b*x^2 + a)*a^2*c^3*x + sqrt(a^4*c^6/b^5)*(b^3*x^2 + a*b^2))/(b*x^2 + a)))/(a^4*b*c^6*x^2 + a^5*c^6)) - (a^4*c^6/b^5)^(1/4)*b*log(((b*x^2 + a)^(3/4)*sqrt(c*x)*a*c + (a^4*c^6/b^5)^(1/4)*(b^2*x^2 + a*b))/(b*x^2 + a)) + (a^4*c^6/b^5)^(1/4)*b*log(((b*x^2 + a)^(3/4)*sqrt(c*x)*a*c - (a^4*c^6/b^5)^(1/4)*(b^2*x^2 + a*b))/(b*x^2 + a)))/b","B",0
945,1,241,0,1.059080," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","-2 \, \left(\frac{1}{b c^{2}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} b c \left(\frac{1}{b c^{2}}\right)^{\frac{3}{4}} - {\left(b^{2} c x^{2} + a b c\right)} \sqrt{\frac{\sqrt{b x^{2} + a} c x + {\left(b c^{2} x^{2} + a c^{2}\right)} \sqrt{\frac{1}{b c^{2}}}}{b x^{2} + a}} \left(\frac{1}{b c^{2}}\right)^{\frac{3}{4}}}{b x^{2} + a}\right) + \frac{1}{2} \, \left(\frac{1}{b c^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} + {\left(b c x^{2} + a c\right)} \left(\frac{1}{b c^{2}}\right)^{\frac{1}{4}}}{b x^{2} + a}\right) - \frac{1}{2} \, \left(\frac{1}{b c^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} - {\left(b c x^{2} + a c\right)} \left(\frac{1}{b c^{2}}\right)^{\frac{1}{4}}}{b x^{2} + a}\right)"," ",0,"-2*(1/(b*c^2))^(1/4)*arctan(-((b*x^2 + a)^(3/4)*sqrt(c*x)*b*c*(1/(b*c^2))^(3/4) - (b^2*c*x^2 + a*b*c)*sqrt((sqrt(b*x^2 + a)*c*x + (b*c^2*x^2 + a*c^2)*sqrt(1/(b*c^2)))/(b*x^2 + a))*(1/(b*c^2))^(3/4))/(b*x^2 + a)) + 1/2*(1/(b*c^2))^(1/4)*log(((b*x^2 + a)^(3/4)*sqrt(c*x) + (b*c*x^2 + a*c)*(1/(b*c^2))^(1/4))/(b*x^2 + a)) - 1/2*(1/(b*c^2))^(1/4)*log(((b*x^2 + a)^(3/4)*sqrt(c*x) - (b*c*x^2 + a*c)*(1/(b*c^2))^(1/4))/(b*x^2 + a))","B",0
946,1,25,0,1.115554," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{3 \, a c^{3} x^{2}}"," ",0,"-2/3*(b*x^2 + a)^(3/4)*sqrt(c*x)/(a*c^3*x^2)","A",0
947,1,35,0,0.957995," ","integrate(1/(c*x)^(9/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, b x^{2} - 3 \, a\right)} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{21 \, a^{2} c^{5} x^{4}}"," ",0,"2/21*(4*b*x^2 - 3*a)*(b*x^2 + a)^(3/4)*sqrt(c*x)/(a^2*c^5*x^4)","A",0
948,1,46,0,1.141282," ","integrate(1/(c*x)^(13/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(32 \, b^{2} x^{4} - 24 \, a b x^{2} + 21 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{231 \, a^{3} c^{7} x^{6}}"," ",0,"-2/231*(32*b^2*x^4 - 24*a*b*x^2 + 21*a^2)*(b*x^2 + a)^(3/4)*sqrt(c*x)/(a^3*c^7*x^6)","A",0
949,0,0,0,1.007558," ","integrate((c*x)^(9/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x} c^{4} x^{4}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(sqrt(c*x)*c^4*x^4/(b*x^2 + a)^(1/4), x)","F",0
950,0,0,0,1.301081," ","integrate((c*x)^(5/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x} c^{2} x^{2}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(sqrt(c*x)*c^2*x^2/(b*x^2 + a)^(1/4), x)","F",0
951,0,0,0,0.908679," ","integrate((c*x)^(1/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(sqrt(c*x)/(b*x^2 + a)^(1/4), x)","F",0
952,0,0,0,0.741233," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b c^{2} x^{4} + a c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)/(b*c^2*x^4 + a*c^2*x^2), x)","F",0
953,0,0,0,0.890460," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b c^{4} x^{6} + a c^{4} x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)/(b*c^4*x^6 + a*c^4*x^4), x)","F",0
954,0,0,0,0.994572," ","integrate(1/(c*x)^(11/2)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b c^{6} x^{8} + a c^{6} x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)/(b*c^6*x^8 + a*c^6*x^6), x)","F",0
955,1,340,0,0.910139," ","integrate((c*x)^(3/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c + 4 \, \left(-\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} b \arctan\left(-\frac{\left(-\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{3}{4}} {\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a b^{4} c - {\left(b^{5} x^{2} - a b^{4}\right)} \left(-\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{3}{4}} \sqrt{-\frac{\sqrt{-b x^{2} + a} a^{2} c^{3} x - \sqrt{-\frac{a^{4} c^{6}}{b^{5}}} {\left(b^{3} x^{2} - a b^{2}\right)}}{b x^{2} - a}}}{a^{4} b c^{6} x^{2} - a^{5} c^{6}}\right) + \left(-\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} b \log\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a c + \left(-\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} {\left(b^{2} x^{2} - a b\right)}}{b x^{2} - a}\right) - \left(-\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} b \log\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a c - \left(-\frac{a^{4} c^{6}}{b^{5}}\right)^{\frac{1}{4}} {\left(b^{2} x^{2} - a b\right)}}{b x^{2} - a}\right)}{8 \, b}"," ",0,"-1/8*(4*(-b*x^2 + a)^(3/4)*sqrt(c*x)*c + 4*(-a^4*c^6/b^5)^(1/4)*b*arctan(-((-a^4*c^6/b^5)^(3/4)*(-b*x^2 + a)^(3/4)*sqrt(c*x)*a*b^4*c - (b^5*x^2 - a*b^4)*(-a^4*c^6/b^5)^(3/4)*sqrt(-(sqrt(-b*x^2 + a)*a^2*c^3*x - sqrt(-a^4*c^6/b^5)*(b^3*x^2 - a*b^2))/(b*x^2 - a)))/(a^4*b*c^6*x^2 - a^5*c^6)) + (-a^4*c^6/b^5)^(1/4)*b*log(((-b*x^2 + a)^(3/4)*sqrt(c*x)*a*c + (-a^4*c^6/b^5)^(1/4)*(b^2*x^2 - a*b))/(b*x^2 - a)) - (-a^4*c^6/b^5)^(1/4)*b*log(((-b*x^2 + a)^(3/4)*sqrt(c*x)*a*c - (-a^4*c^6/b^5)^(1/4)*(b^2*x^2 - a*b))/(b*x^2 - a)))/b","A",0
956,1,267,0,1.051859," ","integrate(1/(c*x)^(1/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","-2 \, \left(-\frac{1}{b c^{2}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} b c \left(-\frac{1}{b c^{2}}\right)^{\frac{3}{4}} - {\left(b^{2} c x^{2} - a b c\right)} \sqrt{-\frac{\sqrt{-b x^{2} + a} c x - {\left(b c^{2} x^{2} - a c^{2}\right)} \sqrt{-\frac{1}{b c^{2}}}}{b x^{2} - a}} \left(-\frac{1}{b c^{2}}\right)^{\frac{3}{4}}}{b x^{2} - a}\right) - \frac{1}{2} \, \left(-\frac{1}{b c^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} + {\left(b c x^{2} - a c\right)} \left(-\frac{1}{b c^{2}}\right)^{\frac{1}{4}}}{b x^{2} - a}\right) + \frac{1}{2} \, \left(-\frac{1}{b c^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} - {\left(b c x^{2} - a c\right)} \left(-\frac{1}{b c^{2}}\right)^{\frac{1}{4}}}{b x^{2} - a}\right)"," ",0,"-2*(-1/(b*c^2))^(1/4)*arctan(-((-b*x^2 + a)^(3/4)*sqrt(c*x)*b*c*(-1/(b*c^2))^(3/4) - (b^2*c*x^2 - a*b*c)*sqrt(-(sqrt(-b*x^2 + a)*c*x - (b*c^2*x^2 - a*c^2)*sqrt(-1/(b*c^2)))/(b*x^2 - a))*(-1/(b*c^2))^(3/4))/(b*x^2 - a)) - 1/2*(-1/(b*c^2))^(1/4)*log(((-b*x^2 + a)^(3/4)*sqrt(c*x) + (b*c*x^2 - a*c)*(-1/(b*c^2))^(1/4))/(b*x^2 - a)) + 1/2*(-1/(b*c^2))^(1/4)*log(((-b*x^2 + a)^(3/4)*sqrt(c*x) - (b*c*x^2 - a*c)*(-1/(b*c^2))^(1/4))/(b*x^2 - a))","A",0
957,1,26,0,0.827416," ","integrate(1/(c*x)^(5/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{3 \, a c^{3} x^{2}}"," ",0,"-2/3*(-b*x^2 + a)^(3/4)*sqrt(c*x)/(a*c^3*x^2)","A",0
958,1,36,0,1.021839," ","integrate(1/(c*x)^(9/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, b x^{2} + 3 \, a\right)} {\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{21 \, a^{2} c^{5} x^{4}}"," ",0,"-2/21*(4*b*x^2 + 3*a)*(-b*x^2 + a)^(3/4)*sqrt(c*x)/(a^2*c^5*x^4)","A",0
959,1,47,0,0.884715," ","integrate(1/(c*x)^(13/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(32 \, b^{2} x^{4} + 24 \, a b x^{2} + 21 \, a^{2}\right)} {\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{231 \, a^{3} c^{7} x^{6}}"," ",0,"-2/231*(32*b^2*x^4 + 24*a*b*x^2 + 21*a^2)*(-b*x^2 + a)^(3/4)*sqrt(c*x)/(a^3*c^7*x^6)","A",0
960,0,0,0,1.097855," ","integrate((c*x)^(5/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c^{2} x^{2}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*sqrt(c*x)*c^2*x^2/(b*x^2 - a), x)","F",0
961,0,0,0,1.015783," ","integrate((c*x)^(1/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*sqrt(c*x)/(b*x^2 - a), x)","F",0
962,0,0,0,1.061776," ","integrate(1/(c*x)^(3/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b c^{2} x^{4} - a c^{2} x^{2}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*sqrt(c*x)/(b*c^2*x^4 - a*c^2*x^2), x)","F",0
963,0,0,0,1.115230," ","integrate(1/(c*x)^(7/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b c^{4} x^{6} - a c^{4} x^{4}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*sqrt(c*x)/(b*c^4*x^6 - a*c^4*x^4), x)","F",0
964,0,0,0,0.820741," ","integrate(1/(c*x)^(11/2)/(-b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b c^{6} x^{8} - a c^{6} x^{6}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(3/4)*sqrt(c*x)/(b*c^6*x^8 - a*c^6*x^6), x)","F",0
965,0,0,0,1.160659," ","integrate((c*x)^(3/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x} c x}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(sqrt(c*x)*c*x/(b*x^2 + a)^(3/4), x)","F",0
966,0,0,0,1.132379," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c x^{3} + a c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c*x^3 + a*c*x), x)","F",0
967,0,0,0,0.933851," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c^{3} x^{5} + a c^{3} x^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c^3*x^5 + a*c^3*x^3), x)","F",0
968,0,0,0,1.233506," ","integrate(1/(c*x)^(9/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c^{5} x^{7} + a c^{5} x^{5}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c^5*x^7 + a*c^5*x^5), x)","F",0
969,0,0,0,1.108274," ","integrate(1/(c*x)^(13/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c^{7} x^{9} + a c^{7} x^{7}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c^7*x^9 + a*c^7*x^7), x)","F",0
970,-1,0,0,0.000000," ","integrate((c*x)^(5/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
971,-1,0,0,0.000000," ","integrate((c*x)^(1/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
972,1,25,0,1.007426," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{a c^{2} x}"," ",0,"-2*(b*x^2 + a)^(1/4)*sqrt(c*x)/(a*c^2*x)","A",0
973,1,35,0,1.502754," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, b x^{2} - a\right)} {\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{5 \, a^{2} c^{4} x^{3}}"," ",0,"2/5*(4*b*x^2 - a)*(b*x^2 + a)^(1/4)*sqrt(c*x)/(a^2*c^4*x^3)","A",0
974,1,46,0,1.542435," ","integrate(1/(c*x)^(11/2)/(b*x^2+a)^(3/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(32 \, b^{2} x^{4} - 8 \, a b x^{2} + 5 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{45 \, a^{3} c^{6} x^{5}}"," ",0,"-2/45*(32*b^2*x^4 - 8*a*b*x^2 + 5*a^2)*(b*x^2 + a)^(1/4)*sqrt(c*x)/(a^3*c^6*x^5)","A",0
975,0,0,0,0.811522," ","integrate((c*x)^(3/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x} c x}{b x^{2} - a}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*sqrt(c*x)*c*x/(b*x^2 - a), x)","F",0
976,0,0,0,1.084084," ","integrate(1/(c*x)^(1/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c x^{3} - a c x}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c*x^3 - a*c*x), x)","F",0
977,0,0,0,1.104219," ","integrate(1/(c*x)^(5/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c^{3} x^{5} - a c^{3} x^{3}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c^3*x^5 - a*c^3*x^3), x)","F",0
978,0,0,0,1.383758," ","integrate(1/(c*x)^(9/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c^{5} x^{7} - a c^{5} x^{5}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c^5*x^7 - a*c^5*x^5), x)","F",0
979,0,0,0,1.147906," ","integrate(1/(c*x)^(13/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{b c^{7} x^{9} - a c^{7} x^{7}}, x\right)"," ",0,"integral(-(-b*x^2 + a)^(1/4)*sqrt(c*x)/(b*c^7*x^9 - a*c^7*x^7), x)","F",0
980,-1,0,0,0.000000," ","integrate((c*x)^(5/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
981,-1,0,0,0.000000," ","integrate((c*x)^(1/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
982,1,26,0,1.459551," ","integrate(1/(c*x)^(3/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{a c^{2} x}"," ",0,"-2*(-b*x^2 + a)^(1/4)*sqrt(c*x)/(a*c^2*x)","A",0
983,1,34,0,1.681413," ","integrate(1/(c*x)^(7/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, b x^{2} + a\right)} {\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{5 \, a^{2} c^{4} x^{3}}"," ",0,"-2/5*(4*b*x^2 + a)*(-b*x^2 + a)^(1/4)*sqrt(c*x)/(a^2*c^4*x^3)","A",0
984,1,47,0,0.852345," ","integrate(1/(c*x)^(11/2)/(-b*x^2+a)^(3/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(32 \, b^{2} x^{4} + 8 \, a b x^{2} + 5 \, a^{2}\right)} {\left(-b x^{2} + a\right)}^{\frac{1}{4}} \sqrt{c x}}{45 \, a^{3} c^{6} x^{5}}"," ",0,"-2/45*(32*b^2*x^4 + 8*a*b*x^2 + 5*a^2)*(-b*x^2 + a)^(1/4)*sqrt(c*x)/(a^3*c^6*x^5)","A",0
985,1,389,0,1.485198," ","integrate((c*x)^(7/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","\frac{4 \, {\left(b c^{3} x^{2} + 5 \, a c^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} + 20 \, \left(\frac{a^{4} c^{14}}{b^{9}}\right)^{\frac{1}{4}} {\left(b^{3} x^{2} + a b^{2}\right)} \arctan\left(-\frac{\left(\frac{a^{4} c^{14}}{b^{9}}\right)^{\frac{3}{4}} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a b^{7} c^{3} - {\left(b^{8} x^{2} + a b^{7}\right)} \left(\frac{a^{4} c^{14}}{b^{9}}\right)^{\frac{3}{4}} \sqrt{\frac{\sqrt{b x^{2} + a} a^{2} c^{7} x + \sqrt{\frac{a^{4} c^{14}}{b^{9}}} {\left(b^{5} x^{2} + a b^{4}\right)}}{b x^{2} + a}}}{a^{4} b c^{14} x^{2} + a^{5} c^{14}}\right) - 5 \, \left(\frac{a^{4} c^{14}}{b^{9}}\right)^{\frac{1}{4}} {\left(b^{3} x^{2} + a b^{2}\right)} \log\left(\frac{5 \, {\left({\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a c^{3} + \left(\frac{a^{4} c^{14}}{b^{9}}\right)^{\frac{1}{4}} {\left(b^{3} x^{2} + a b^{2}\right)}\right)}}{b x^{2} + a}\right) + 5 \, \left(\frac{a^{4} c^{14}}{b^{9}}\right)^{\frac{1}{4}} {\left(b^{3} x^{2} + a b^{2}\right)} \log\left(\frac{5 \, {\left({\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} a c^{3} - \left(\frac{a^{4} c^{14}}{b^{9}}\right)^{\frac{1}{4}} {\left(b^{3} x^{2} + a b^{2}\right)}\right)}}{b x^{2} + a}\right)}{8 \, {\left(b^{3} x^{2} + a b^{2}\right)}}"," ",0,"1/8*(4*(b*c^3*x^2 + 5*a*c^3)*(b*x^2 + a)^(3/4)*sqrt(c*x) + 20*(a^4*c^14/b^9)^(1/4)*(b^3*x^2 + a*b^2)*arctan(-((a^4*c^14/b^9)^(3/4)*(b*x^2 + a)^(3/4)*sqrt(c*x)*a*b^7*c^3 - (b^8*x^2 + a*b^7)*(a^4*c^14/b^9)^(3/4)*sqrt((sqrt(b*x^2 + a)*a^2*c^7*x + sqrt(a^4*c^14/b^9)*(b^5*x^2 + a*b^4))/(b*x^2 + a)))/(a^4*b*c^14*x^2 + a^5*c^14)) - 5*(a^4*c^14/b^9)^(1/4)*(b^3*x^2 + a*b^2)*log(5*((b*x^2 + a)^(3/4)*sqrt(c*x)*a*c^3 + (a^4*c^14/b^9)^(1/4)*(b^3*x^2 + a*b^2))/(b*x^2 + a)) + 5*(a^4*c^14/b^9)^(1/4)*(b^3*x^2 + a*b^2)*log(5*((b*x^2 + a)^(3/4)*sqrt(c*x)*a*c^3 - (a^4*c^14/b^9)^(1/4)*(b^3*x^2 + a*b^2))/(b*x^2 + a)))/(b^3*x^2 + a*b^2)","B",0
986,1,319,0,1.225872," ","integrate((c*x)^(3/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c + 4 \, {\left(b^{2} x^{2} + a b\right)} \left(\frac{c^{6}}{b^{5}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} b^{4} c \left(\frac{c^{6}}{b^{5}}\right)^{\frac{3}{4}} - {\left(b^{5} x^{2} + a b^{4}\right)} \left(\frac{c^{6}}{b^{5}}\right)^{\frac{3}{4}} \sqrt{\frac{\sqrt{b x^{2} + a} c^{3} x + {\left(b^{3} x^{2} + a b^{2}\right)} \sqrt{\frac{c^{6}}{b^{5}}}}{b x^{2} + a}}}{b c^{6} x^{2} + a c^{6}}\right) - {\left(b^{2} x^{2} + a b\right)} \left(\frac{c^{6}}{b^{5}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c + {\left(b^{2} x^{2} + a b\right)} \left(\frac{c^{6}}{b^{5}}\right)^{\frac{1}{4}}}{b x^{2} + a}\right) + {\left(b^{2} x^{2} + a b\right)} \left(\frac{c^{6}}{b^{5}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c - {\left(b^{2} x^{2} + a b\right)} \left(\frac{c^{6}}{b^{5}}\right)^{\frac{1}{4}}}{b x^{2} + a}\right)}{2 \, {\left(b^{2} x^{2} + a b\right)}}"," ",0,"-1/2*(4*(b*x^2 + a)^(3/4)*sqrt(c*x)*c + 4*(b^2*x^2 + a*b)*(c^6/b^5)^(1/4)*arctan(-((b*x^2 + a)^(3/4)*sqrt(c*x)*b^4*c*(c^6/b^5)^(3/4) - (b^5*x^2 + a*b^4)*(c^6/b^5)^(3/4)*sqrt((sqrt(b*x^2 + a)*c^3*x + (b^3*x^2 + a*b^2)*sqrt(c^6/b^5))/(b*x^2 + a)))/(b*c^6*x^2 + a*c^6)) - (b^2*x^2 + a*b)*(c^6/b^5)^(1/4)*log(((b*x^2 + a)^(3/4)*sqrt(c*x)*c + (b^2*x^2 + a*b)*(c^6/b^5)^(1/4))/(b*x^2 + a)) + (b^2*x^2 + a*b)*(c^6/b^5)^(1/4)*log(((b*x^2 + a)^(3/4)*sqrt(c*x)*c - (b^2*x^2 + a*b)*(c^6/b^5)^(1/4))/(b*x^2 + a)))/(b^2*x^2 + a*b)","B",0
987,1,31,0,0.928487," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{a b c x^{2} + a^{2} c}"," ",0,"2*(b*x^2 + a)^(3/4)*sqrt(c*x)/(a*b*c*x^2 + a^2*c)","A",0
988,1,48,0,0.742590," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{3 \, {\left(a^{2} b c^{3} x^{4} + a^{3} c^{3} x^{2}\right)}}"," ",0,"-2/3*(4*b*x^2 + a)*(b*x^2 + a)^(3/4)*sqrt(c*x)/(a^2*b*c^3*x^4 + a^3*c^3*x^2)","A",0
989,1,61,0,0.933897," ","integrate(1/(c*x)^(9/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","\frac{2 \, {\left(32 \, b^{2} x^{4} + 8 \, a b x^{2} - 3 \, a^{2}\right)} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{21 \, {\left(a^{3} b c^{5} x^{6} + a^{4} c^{5} x^{4}\right)}}"," ",0,"2/21*(32*b^2*x^4 + 8*a*b*x^2 - 3*a^2)*(b*x^2 + a)^(3/4)*sqrt(c*x)/(a^3*b*c^5*x^6 + a^4*c^5*x^4)","A",0
990,1,72,0,0.851388," ","integrate(1/(c*x)^(13/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(128 \, b^{3} x^{6} + 32 \, a b^{2} x^{4} - 12 \, a^{2} b x^{2} + 7 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{77 \, {\left(a^{4} b c^{7} x^{8} + a^{5} c^{7} x^{6}\right)}}"," ",0,"-2/77*(128*b^3*x^6 + 32*a*b^2*x^4 - 12*a^2*b*x^2 + 7*a^3)*(b*x^2 + a)^(3/4)*sqrt(c*x)/(a^4*b*c^7*x^8 + a^5*c^7*x^6)","A",0
991,0,0,0,1.144501," ","integrate((c*x)^(13/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c^{6} x^{6}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)*c^6*x^6/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
992,0,0,0,1.192422," ","integrate((c*x)^(9/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c^{4} x^{4}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)*c^4*x^4/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
993,0,0,0,1.051962," ","integrate((c*x)^(5/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x} c^{2} x^{2}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)*c^2*x^2/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
994,0,0,0,1.145206," ","integrate((c*x)^(1/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
995,0,0,0,1.054973," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b^{2} c^{2} x^{6} + 2 \, a b c^{2} x^{4} + a^{2} c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)/(b^2*c^2*x^6 + 2*a*b*c^2*x^4 + a^2*c^2*x^2), x)","F",0
996,0,0,0,0.848687," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b^{2} c^{4} x^{8} + 2 \, a b c^{4} x^{6} + a^{2} c^{4} x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)/(b^2*c^4*x^8 + 2*a*b*c^4*x^6 + a^2*c^4*x^4), x)","F",0
997,0,0,0,0.959984," ","integrate(1/(c*x)^(11/2)/(b*x^2+a)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \sqrt{c x}}{b^{2} c^{6} x^{10} + 2 \, a b c^{6} x^{8} + a^{2} c^{6} x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*sqrt(c*x)/(b^2*c^6*x^10 + 2*a*b*c^6*x^8 + a^2*c^6*x^6), x)","F",0
998,0,0,0,1.073994," ","integrate((c*x)^(5/4)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{\frac{1}{4}} c x}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((c*x)^(1/4)*c*x/(b*x^2 + a)^(1/4), x)","F",0
999,0,0,0,0.930208," ","integrate((c*x)^(3/4)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{\frac{3}{4}}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((c*x)^(3/4)/(b*x^2 + a)^(1/4), x)","F",0
1000,0,0,0,1.026474," ","integrate((c*x)^(1/4)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c x\right)^{\frac{1}{4}}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((c*x)^(1/4)/(b*x^2 + a)^(1/4), x)","F",0
1001,0,0,0,1.126625," ","integrate(1/(c*x)^(1/4)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \left(c x\right)^{\frac{3}{4}}}{b c x^{3} + a c x}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*(c*x)^(3/4)/(b*c*x^3 + a*c*x), x)","F",0
1002,0,0,0,0.999276," ","integrate(1/(c*x)^(3/4)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \left(c x\right)^{\frac{1}{4}}}{b c x^{3} + a c x}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*(c*x)^(1/4)/(b*c*x^3 + a*c*x), x)","F",0
1003,0,0,0,1.139403," ","integrate(1/(c*x)^(5/4)/(b*x^2+a)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}} \left(c x\right)^{\frac{3}{4}}}{b c^{2} x^{4} + a c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(3/4)*(c*x)^(3/4)/(b*c^2*x^4 + a*c^2*x^2), x)","F",0
1004,0,0,0,0.930102," ","integrate((c*x)^(5/4)/(b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{1}{4}} c x}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*(c*x)^(1/4)*c*x/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
1005,0,0,0,0.951307," ","integrate((c*x)^(3/4)/(b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{3}{4}}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*(c*x)^(3/4)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
1006,0,0,0,0.728410," ","integrate((c*x)^(1/4)/(b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{1}{4}}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*(c*x)^(1/4)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
1007,0,0,0,1.389622," ","integrate(1/(c*x)^(1/4)/(b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{3}{4}}}{b^{2} c x^{5} + 2 \, a b c x^{3} + a^{2} c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*(c*x)^(3/4)/(b^2*c*x^5 + 2*a*b*c*x^3 + a^2*c*x), x)","F",0
1008,0,0,0,1.050888," ","integrate(1/(c*x)^(3/4)/(b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{1}{4}}}{b^{2} c x^{5} + 2 \, a b c x^{3} + a^{2} c x}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*(c*x)^(1/4)/(b^2*c*x^5 + 2*a*b*c*x^3 + a^2*c*x), x)","F",0
1009,0,0,0,0.871065," ","integrate(1/(c*x)^(5/4)/(b*x^2+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{3}{4}}}{b^{2} c^{2} x^{6} + 2 \, a b c^{2} x^{4} + a^{2} c^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/4)*(c*x)^(3/4)/(b^2*c^2*x^6 + 2*a*b*c^2*x^4 + a^2*c^2*x^2), x)","F",0
1010,0,0,0,0.882189," ","integrate(x^6*(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{6}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)*x^6, x)","F",0
1011,0,0,0,0.786865," ","integrate(x^4*(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{4}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)*x^4, x)","F",0
1012,0,0,0,0.846967," ","integrate(x^2*(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{2}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)*x^2, x)","F",0
1013,0,0,0,0.880982," ","integrate((b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6), x)","F",0
1014,0,0,0,0.737576," ","integrate((b*x^2+a)^(1/6)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)/x^2, x)","F",0
1015,0,0,0,0.778788," ","integrate((b*x^2+a)^(1/6)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)/x^4, x)","F",0
1016,0,0,0,0.660093," ","integrate((b*x^2+a)^(1/6)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)/x^6, x)","F",0
1017,0,0,0,0.564812," ","integrate((b*x^2+a)^(1/6)/x^8,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{8}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)/x^8, x)","F",0
1018,0,0,0,0.821312," ","integrate(x^6/(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral(x^6/(b*x^2 + a)^(1/6), x)","F",0
1019,0,0,0,0.836179," ","integrate(x^4/(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral(x^4/(b*x^2 + a)^(1/6), x)","F",0
1020,0,0,0,0.817851," ","integrate(x^2/(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral(x^2/(b*x^2 + a)^(1/6), x)","F",0
1021,0,0,0,0.709784," ","integrate(1/(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral((b*x^2 + a)^(-1/6), x)","F",0
1022,0,0,0,0.844575," ","integrate(1/x^2/(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}{b x^{4} + a x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)/(b*x^4 + a*x^2), x)","F",0
1023,0,0,0,0.872531," ","integrate(1/x^4/(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}{b x^{6} + a x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)/(b*x^6 + a*x^4), x)","F",0
1024,0,0,0,0.804362," ","integrate(1/x^6/(b*x^2+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}{b x^{8} + a x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)/(b*x^8 + a*x^6), x)","F",0
1025,0,0,0,0.805619," ","integrate(x^6/(b*x^2+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral(x^6/(b*x^2 + a)^(5/6), x)","F",0
1026,0,0,0,0.821877," ","integrate(x^4/(b*x^2+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral(x^4/(b*x^2 + a)^(5/6), x)","F",0
1027,0,0,0,0.881094," ","integrate(x^2/(b*x^2+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral(x^2/(b*x^2 + a)^(5/6), x)","F",0
1028,0,0,0,0.818581," ","integrate(1/(b*x^2+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((b*x^2 + a)^(-5/6), x)","F",0
1029,0,0,0,0.796771," ","integrate(1/x^2/(b*x^2+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{b x^{4} + a x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)/(b*x^4 + a*x^2), x)","F",0
1030,0,0,0,0.720648," ","integrate(1/x^4/(b*x^2+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{b x^{6} + a x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)/(b*x^6 + a*x^4), x)","F",0
1031,0,0,0,0.857285," ","integrate(1/x^6/(b*x^2+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{b x^{8} + a x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(1/6)/(b*x^8 + a*x^6), x)","F",0
1032,0,0,0,0.900409," ","integrate(x^6/(b*x^2+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}} x^{6}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)*x^6/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
1033,0,0,0,0.768167," ","integrate(x^4/(b*x^2+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}} x^{4}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)*x^4/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
1034,0,0,0,0.874921," ","integrate(x^2/(b*x^2+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}} x^{2}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)*x^2/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
1035,0,0,0,0.795089," ","integrate(1/(b*x^2+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
1036,0,0,0,0.796827," ","integrate(1/x^2/(b*x^2+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}{b^{2} x^{6} + 2 \, a b x^{4} + a^{2} x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)/(b^2*x^6 + 2*a*b*x^4 + a^2*x^2), x)","F",0
1037,0,0,0,0.886114," ","integrate(1/x^4/(b*x^2+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}{b^{2} x^{8} + 2 \, a b x^{6} + a^{2} x^{4}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)/(b^2*x^8 + 2*a*b*x^6 + a^2*x^4), x)","F",0
1038,0,0,0,0.825456," ","integrate(1/x^6/(b*x^2+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}{b^{2} x^{10} + 2 \, a b x^{8} + a^{2} x^{6}}, x\right)"," ",0,"integral((b*x^2 + a)^(5/6)/(b^2*x^10 + 2*a*b*x^8 + a^2*x^6), x)","F",0
1039,1,148,0,0.912632," ","integrate(x^7*(b*x^2+a)^p,x, algorithm=""fricas"")","\frac{{\left({\left(b^{4} p^{3} + 6 \, b^{4} p^{2} + 11 \, b^{4} p + 6 \, b^{4}\right)} x^{8} + 6 \, a^{3} b p x^{2} + {\left(a b^{3} p^{3} + 3 \, a b^{3} p^{2} + 2 \, a b^{3} p\right)} x^{6} - 3 \, {\left(a^{2} b^{2} p^{2} + a^{2} b^{2} p\right)} x^{4} - 6 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{p}}{2 \, {\left(b^{4} p^{4} + 10 \, b^{4} p^{3} + 35 \, b^{4} p^{2} + 50 \, b^{4} p + 24 \, b^{4}\right)}}"," ",0,"1/2*((b^4*p^3 + 6*b^4*p^2 + 11*b^4*p + 6*b^4)*x^8 + 6*a^3*b*p*x^2 + (a*b^3*p^3 + 3*a*b^3*p^2 + 2*a*b^3*p)*x^6 - 3*(a^2*b^2*p^2 + a^2*b^2*p)*x^4 - 6*a^4)*(b*x^2 + a)^p/(b^4*p^4 + 10*b^4*p^3 + 35*b^4*p^2 + 50*b^4*p + 24*b^4)","A",0
1040,1,98,0,0.944775," ","integrate(x^5*(b*x^2+a)^p,x, algorithm=""fricas"")","\frac{{\left({\left(b^{3} p^{2} + 3 \, b^{3} p + 2 \, b^{3}\right)} x^{6} - 2 \, a^{2} b p x^{2} + {\left(a b^{2} p^{2} + a b^{2} p\right)} x^{4} + 2 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{p}}{2 \, {\left(b^{3} p^{3} + 6 \, b^{3} p^{2} + 11 \, b^{3} p + 6 \, b^{3}\right)}}"," ",0,"1/2*((b^3*p^2 + 3*b^3*p + 2*b^3)*x^6 - 2*a^2*b*p*x^2 + (a*b^2*p^2 + a*b^2*p)*x^4 + 2*a^3)*(b*x^2 + a)^p/(b^3*p^3 + 6*b^3*p^2 + 11*b^3*p + 6*b^3)","A",0
1041,1,58,0,0.807686," ","integrate(x^3*(b*x^2+a)^p,x, algorithm=""fricas"")","\frac{{\left(a b p x^{2} + {\left(b^{2} p + b^{2}\right)} x^{4} - a^{2}\right)} {\left(b x^{2} + a\right)}^{p}}{2 \, {\left(b^{2} p^{2} + 3 \, b^{2} p + 2 \, b^{2}\right)}}"," ",0,"1/2*(a*b*p*x^2 + (b^2*p + b^2)*x^4 - a^2)*(b*x^2 + a)^p/(b^2*p^2 + 3*b^2*p + 2*b^2)","A",0
1042,1,25,0,0.752604," ","integrate(x*(b*x^2+a)^p,x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p}}{2 \, {\left(b p + b\right)}}"," ",0,"1/2*(b*x^2 + a)*(b*x^2 + a)^p/(b*p + b)","A",0
1043,0,0,0,0.820728," ","integrate((b*x^2+a)^p/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{x}, x\right)"," ",0,"integral((b*x^2 + a)^p/x, x)","F",0
1044,0,0,0,0.868196," ","integrate((b*x^2+a)^p/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{x^{3}}, x\right)"," ",0,"integral((b*x^2 + a)^p/x^3, x)","F",0
1045,0,0,0,0.716063," ","integrate(x^6*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{6}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^6, x)","F",0
1046,0,0,0,0.925564," ","integrate(x^4*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{4}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^4, x)","F",0
1047,0,0,0,0.720923," ","integrate(x^2*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{2}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^2, x)","F",0
1048,0,0,0,0.858026," ","integrate((b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p}, x\right)"," ",0,"integral((b*x^2 + a)^p, x)","F",0
1049,0,0,0,0.834512," ","integrate((b*x^2+a)^p/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{x^{2}}, x\right)"," ",0,"integral((b*x^2 + a)^p/x^2, x)","F",0
1050,0,0,0,0.828413," ","integrate(x^(7/2)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{\frac{7}{2}}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(7/2), x)","F",0
1051,0,0,0,0.976330," ","integrate(x^(5/2)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{\frac{5}{2}}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(5/2), x)","F",0
1052,0,0,0,0.569588," ","integrate(x^(3/2)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{\frac{3}{2}}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(3/2), x)","F",0
1053,0,0,0,0.991492," ","integrate(x^(1/2)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} \sqrt{x}, x\right)"," ",0,"integral((b*x^2 + a)^p*sqrt(x), x)","F",0
1054,0,0,0,0.638476," ","integrate((b*x^2+a)^p/x^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{\sqrt{x}}, x\right)"," ",0,"integral((b*x^2 + a)^p/sqrt(x), x)","F",0
1055,0,0,0,0.946027," ","integrate((b*x^2+a)^p/x^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{x^{\frac{3}{2}}}, x\right)"," ",0,"integral((b*x^2 + a)^p/x^(3/2), x)","F",0
1056,0,0,0,1.002030," ","integrate((b*x^2+a)^p/x^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{x^{\frac{5}{2}}}, x\right)"," ",0,"integral((b*x^2 + a)^p/x^(5/2), x)","F",0
1057,0,0,0,0.916630," ","integrate((b*x^2+a)^p/x^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{x^{\frac{7}{2}}}, x\right)"," ",0,"integral((b*x^2 + a)^p/x^(7/2), x)","F",0
1058,0,0,0,0.788584," ","integrate(x^m*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{m}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^m, x)","F",0
1059,0,0,0,0.598329," ","integrate((c*x)^m*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} \left(c x\right)^{m}, x\right)"," ",0,"integral((b*x^2 + a)^p*(c*x)^m, x)","F",0
1060,0,0,0,0.739731," ","integrate(x^(-8-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 8}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p - 8), x)","F",0
1061,1,106,0,0.686731," ","integrate(x^(-7-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{3} x^{7} - 2 \, a b^{2} p x^{5} + {\left(a^{2} b p^{2} + a^{2} b p\right)} x^{3} + {\left(a^{3} p^{2} + 3 \, a^{3} p + 2 \, a^{3}\right)} x\right)} {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 7}}{2 \, {\left(a^{3} p^{3} + 6 \, a^{3} p^{2} + 11 \, a^{3} p + 6 \, a^{3}\right)}}"," ",0,"-1/2*(2*b^3*x^7 - 2*a*b^2*p*x^5 + (a^2*b*p^2 + a^2*b*p)*x^3 + (a^3*p^2 + 3*a^3*p + 2*a^3)*x)*(b*x^2 + a)^p*x^(-2*p - 7)/(a^3*p^3 + 6*a^3*p^2 + 11*a^3*p + 6*a^3)","A",0
1062,0,0,0,0.852395," ","integrate(x^(-6-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 6}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p - 6), x)","F",0
1063,1,67,0,0.794310," ","integrate(x^(-5-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{5} - a b p x^{3} - {\left(a^{2} p + a^{2}\right)} x\right)} {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 5}}{2 \, {\left(a^{2} p^{2} + 3 \, a^{2} p + 2 \, a^{2}\right)}}"," ",0,"1/2*(b^2*x^5 - a*b*p*x^3 - (a^2*p + a^2)*x)*(b*x^2 + a)^p*x^(-2*p - 5)/(a^2*p^2 + 3*a^2*p + 2*a^2)","A",0
1064,0,0,0,0.792689," ","integrate(x^(-4-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 4}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p - 4), x)","F",0
1065,1,34,0,0.891106," ","integrate(x^(-3-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","-\frac{{\left(b x^{3} + a x\right)} {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 3}}{2 \, {\left(a p + a\right)}}"," ",0,"-1/2*(b*x^3 + a*x)*(b*x^2 + a)^p*x^(-2*p - 3)/(a*p + a)","A",0
1066,0,0,0,0.990437," ","integrate(x^(-2-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 2}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p - 2), x)","F",0
1067,0,0,0,0.848969," ","integrate(x^(-1-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 1}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p - 1), x)","F",0
1068,0,0,0,0.885588," ","integrate((b*x^2+a)^p/(x^(2*p)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{2} + a\right)}^{p}}{x^{2 \, p}}, x\right)"," ",0,"integral((b*x^2 + a)^p/x^(2*p), x)","F",0
1069,0,0,0,0.964243," ","integrate(x^(1-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p + 1}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p + 1), x)","F",0
1070,0,0,0,0.945493," ","integrate(x^(2-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p + 2}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p + 2), x)","F",0
1071,0,0,0,0.907092," ","integrate(x^(3-2*p)*(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a\right)}^{p} x^{-2 \, p + 3}, x\right)"," ",0,"integral((b*x^2 + a)^p*x^(-2*p + 3), x)","F",0
