1,1,13,0,1.314944," ","integrate(x^4*(b*x^2+a),x, algorithm=""maxima"")","\frac{1}{7} \, b x^{7} + \frac{1}{5} \, a x^{5}"," ",0,"1/7*b*x^7 + 1/5*a*x^5","A",0
2,1,13,0,1.352534," ","integrate(x^3*(b*x^2+a),x, algorithm=""maxima"")","\frac{1}{6} \, b x^{6} + \frac{1}{4} \, a x^{4}"," ",0,"1/6*b*x^6 + 1/4*a*x^4","A",0
3,1,13,0,1.344439," ","integrate(x^2*(b*x^2+a),x, algorithm=""maxima"")","\frac{1}{5} \, b x^{5} + \frac{1}{3} \, a x^{3}"," ",0,"1/5*b*x^5 + 1/3*a*x^3","A",0
4,1,14,0,1.335610," ","integrate(x*(b*x^2+a),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{2}}{4 \, b}"," ",0,"1/4*(b*x^2 + a)^2/b","A",0
5,1,10,0,1.343928," ","integrate(b*x^2+a,x, algorithm=""maxima"")","\frac{1}{3} \, b x^{3} + a x"," ",0,"1/3*b*x^3 + a*x","A",0
6,1,14,0,1.345028," ","integrate((b*x^2+a)/x,x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} + \frac{1}{2} \, a \log\left(x^{2}\right)"," ",0,"1/2*b*x^2 + 1/2*a*log(x^2)","A",0
7,1,10,0,1.333126," ","integrate((b*x^2+a)/x^2,x, algorithm=""maxima"")","b x - \frac{a}{x}"," ",0,"b*x - a/x","A",0
8,1,14,0,1.363190," ","integrate((b*x^2+a)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b \log\left(x^{2}\right) - \frac{a}{2 \, x^{2}}"," ",0,"1/2*b*log(x^2) - 1/2*a/x^2","A",0
9,1,13,0,1.287349," ","integrate((b*x^2+a)/x^4,x, algorithm=""maxima"")","-\frac{3 \, b x^{2} + a}{3 \, x^{3}}"," ",0,"-1/3*(3*b*x^2 + a)/x^3","A",0
10,1,13,0,1.333143," ","integrate((b*x^2+a)/x^5,x, algorithm=""maxima"")","-\frac{2 \, b x^{2} + a}{4 \, x^{4}}"," ",0,"-1/4*(2*b*x^2 + a)/x^4","A",0
11,1,15,0,1.302681," ","integrate((b*x^2+a)/x^6,x, algorithm=""maxima"")","-\frac{5 \, b x^{2} + 3 \, a}{15 \, x^{5}}"," ",0,"-1/15*(5*b*x^2 + 3*a)/x^5","A",0
12,1,15,0,1.417830," ","integrate((b*x^2+a)/x^7,x, algorithm=""maxima"")","-\frac{3 \, b x^{2} + 2 \, a}{12 \, x^{6}}"," ",0,"-1/12*(3*b*x^2 + 2*a)/x^6","A",0
13,1,24,0,1.340622," ","integrate(x^5*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{10} \, b^{2} x^{10} + \frac{1}{4} \, a b x^{8} + \frac{1}{6} \, a^{2} x^{6}"," ",0,"1/10*b^2*x^10 + 1/4*a*b*x^8 + 1/6*a^2*x^6","A",0
14,1,24,0,1.312174," ","integrate(x^4*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, b^{2} x^{9} + \frac{2}{7} \, a b x^{7} + \frac{1}{5} \, a^{2} x^{5}"," ",0,"1/9*b^2*x^9 + 2/7*a*b*x^7 + 1/5*a^2*x^5","A",0
15,1,24,0,1.354210," ","integrate(x^3*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, b^{2} x^{8} + \frac{1}{3} \, a b x^{6} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/8*b^2*x^8 + 1/3*a*b*x^6 + 1/4*a^2*x^4","A",0
16,1,24,0,1.347352," ","integrate(x^2*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{2} x^{7} + \frac{2}{5} \, a b x^{5} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/7*b^2*x^7 + 2/5*a*b*x^5 + 1/3*a^2*x^3","A",0
17,1,14,0,1.349260," ","integrate(x*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{3}}{6 \, b}"," ",0,"1/6*(b*x^2 + a)^3/b","A",0
18,1,21,0,1.310632," ","integrate((b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} x^{5} + \frac{2}{3} \, a b x^{3} + a^{2} x"," ",0,"1/5*b^2*x^5 + 2/3*a*b*x^3 + a^2*x","A",0
19,1,24,0,1.393080," ","integrate((b*x^2+a)^2/x,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} x^{4} + a b x^{2} + \frac{1}{2} \, a^{2} \log\left(x^{2}\right)"," ",0,"1/4*b^2*x^4 + a*b*x^2 + 1/2*a^2*log(x^2)","A",0
20,1,22,0,1.356112," ","integrate((b*x^2+a)^2/x^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} + 2 \, a b x - \frac{a^{2}}{x}"," ",0,"1/3*b^2*x^3 + 2*a*b*x - a^2/x","A",0
21,1,24,0,1.386658," ","integrate((b*x^2+a)^2/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} x^{2} + a b \log\left(x^{2}\right) - \frac{a^{2}}{2 \, x^{2}}"," ",0,"1/2*b^2*x^2 + a*b*log(x^2) - 1/2*a^2/x^2","A",0
22,1,22,0,1.318760," ","integrate((b*x^2+a)^2/x^4,x, algorithm=""maxima"")","b^{2} x - \frac{6 \, a b x^{2} + a^{2}}{3 \, x^{3}}"," ",0,"b^2*x - 1/3*(6*a*b*x^2 + a^2)/x^3","A",0
23,1,26,0,1.276540," ","integrate((b*x^2+a)^2/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} \log\left(x^{2}\right) - \frac{4 \, a b x^{2} + a^{2}}{4 \, x^{4}}"," ",0,"1/2*b^2*log(x^2) - 1/4*(4*a*b*x^2 + a^2)/x^4","A",0
24,1,26,0,1.303834," ","integrate((b*x^2+a)^2/x^6,x, algorithm=""maxima"")","-\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
25,1,24,0,1.375576," ","integrate((b*x^2+a)^2/x^7,x, algorithm=""maxima"")","-\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
26,1,26,0,1.380903," ","integrate((b*x^2+a)^2/x^8,x, algorithm=""maxima"")","-\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
27,1,26,0,1.379183," ","integrate((b*x^2+a)^2/x^9,x, algorithm=""maxima"")","-\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
28,1,26,0,1.336957," ","integrate((b*x^2+a)^2/x^10,x, algorithm=""maxima"")","-\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
29,1,35,0,1.361524," ","integrate(x^9*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{16} \, b^{3} x^{16} + \frac{3}{14} \, a b^{2} x^{14} + \frac{1}{4} \, a^{2} b x^{12} + \frac{1}{10} \, a^{3} x^{10}"," ",0,"1/16*b^3*x^16 + 3/14*a*b^2*x^14 + 1/4*a^2*b*x^12 + 1/10*a^3*x^10","A",0
30,1,35,0,1.315301," ","integrate(x^7*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{14} \, b^{3} x^{14} + \frac{1}{4} \, a b^{2} x^{12} + \frac{3}{10} \, a^{2} b x^{10} + \frac{1}{8} \, a^{3} x^{8}"," ",0,"1/14*b^3*x^14 + 1/4*a*b^2*x^12 + 3/10*a^2*b*x^10 + 1/8*a^3*x^8","A",0
31,1,35,0,1.350771," ","integrate(x^5*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{12} \, b^{3} x^{12} + \frac{3}{10} \, a b^{2} x^{10} + \frac{3}{8} \, a^{2} b x^{8} + \frac{1}{6} \, a^{3} x^{6}"," ",0,"1/12*b^3*x^12 + 3/10*a*b^2*x^10 + 3/8*a^2*b*x^8 + 1/6*a^3*x^6","A",0
32,1,35,0,1.372467," ","integrate(x^3*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{3} x^{10} + \frac{3}{8} \, a b^{2} x^{8} + \frac{1}{2} \, a^{2} b x^{6} + \frac{1}{4} \, a^{3} x^{4}"," ",0,"1/10*b^3*x^10 + 3/8*a*b^2*x^8 + 1/2*a^2*b*x^6 + 1/4*a^3*x^4","A",0
33,1,14,0,1.335335," ","integrate(x*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{4}}{8 \, b}"," ",0,"1/8*(b*x^2 + a)^4/b","A",0
34,1,36,0,1.307020," ","integrate((b*x^2+a)^3/x,x, algorithm=""maxima"")","\frac{1}{6} \, b^{3} x^{6} + \frac{3}{4} \, a b^{2} x^{4} + \frac{3}{2} \, a^{2} b x^{2} + \frac{1}{2} \, a^{3} \log\left(x^{2}\right)"," ",0,"1/6*b^3*x^6 + 3/4*a*b^2*x^4 + 3/2*a^2*b*x^2 + 1/2*a^3*log(x^2)","A",0
35,1,36,0,1.379241," ","integrate((b*x^2+a)^3/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} x^{4} + \frac{3}{2} \, a b^{2} x^{2} + \frac{3}{2} \, a^{2} b \log\left(x^{2}\right) - \frac{a^{3}}{2 \, x^{2}}"," ",0,"1/4*b^3*x^4 + 3/2*a*b^2*x^2 + 3/2*a^2*b*log(x^2) - 1/2*a^3/x^2","A",0
36,1,37,0,1.358019," ","integrate((b*x^2+a)^3/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} x^{2} + \frac{3}{2} \, a b^{2} \log\left(x^{2}\right) - \frac{6 \, a^{2} b x^{2} + a^{3}}{4 \, x^{4}}"," ",0,"1/2*b^3*x^2 + 3/2*a*b^2*log(x^2) - 1/4*(6*a^2*b*x^2 + a^3)/x^4","A",0
37,1,39,0,1.285975," ","integrate((b*x^2+a)^3/x^7,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} \log\left(x^{2}\right) - \frac{18 \, a b^{2} x^{4} + 9 \, a^{2} b x^{2} + 2 \, a^{3}}{12 \, x^{6}}"," ",0,"1/2*b^3*log(x^2) - 1/12*(18*a*b^2*x^4 + 9*a^2*b*x^2 + 2*a^3)/x^6","A",0
38,1,35,0,1.320099," ","integrate((b*x^2+a)^3/x^9,x, algorithm=""maxima"")","-\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
39,1,37,0,1.368168," ","integrate((b*x^2+a)^3/x^11,x, algorithm=""maxima"")","-\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
40,1,37,0,1.285703," ","integrate((b*x^2+a)^3/x^13,x, algorithm=""maxima"")","-\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
41,1,37,0,1.321621," ","integrate((b*x^2+a)^3/x^15,x, algorithm=""maxima"")","-\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
42,1,35,0,1.346175," ","integrate(x^6*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{3} x^{13} + \frac{3}{11} \, a b^{2} x^{11} + \frac{1}{3} \, a^{2} b x^{9} + \frac{1}{7} \, a^{3} x^{7}"," ",0,"1/13*b^3*x^13 + 3/11*a*b^2*x^11 + 1/3*a^2*b*x^9 + 1/7*a^3*x^7","A",0
43,1,35,0,1.375202," ","integrate(x^4*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{11} \, b^{3} x^{11} + \frac{1}{3} \, a b^{2} x^{9} + \frac{3}{7} \, a^{2} b x^{7} + \frac{1}{5} \, a^{3} x^{5}"," ",0,"1/11*b^3*x^11 + 1/3*a*b^2*x^9 + 3/7*a^2*b*x^7 + 1/5*a^3*x^5","A",0
44,1,35,0,1.322480," ","integrate(x^2*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{9} \, b^{3} x^{9} + \frac{3}{7} \, a b^{2} x^{7} + \frac{3}{5} \, a^{2} b x^{5} + \frac{1}{3} \, a^{3} x^{3}"," ",0,"1/9*b^3*x^9 + 3/7*a*b^2*x^7 + 3/5*a^2*b*x^5 + 1/3*a^3*x^3","A",0
45,1,31,0,1.360139," ","integrate((b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{7} \, b^{3} x^{7} + \frac{3}{5} \, a b^{2} x^{5} + a^{2} b x^{3} + a^{3} x"," ",0,"1/7*b^3*x^7 + 3/5*a*b^2*x^5 + a^2*b*x^3 + a^3*x","A",0
46,1,32,0,1.383405," ","integrate((b*x^2+a)^3/x^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{3} x^{5} + a b^{2} x^{3} + 3 \, a^{2} b x - \frac{a^{3}}{x}"," ",0,"1/5*b^3*x^5 + a*b^2*x^3 + 3*a^2*b*x - a^3/x","A",0
47,1,34,0,1.336478," ","integrate((b*x^2+a)^3/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} + 3 \, a b^{2} x - \frac{9 \, a^{2} b x^{2} + a^{3}}{3 \, x^{3}}"," ",0,"1/3*b^3*x^3 + 3*a*b^2*x - 1/3*(9*a^2*b*x^2 + a^3)/x^3","A",0
48,1,33,0,1.343233," ","integrate((b*x^2+a)^3/x^6,x, algorithm=""maxima"")","b^{3} x - \frac{15 \, a b^{2} x^{4} + 5 \, a^{2} b x^{2} + a^{3}}{5 \, x^{5}}"," ",0,"b^3*x - 1/5*(15*a*b^2*x^4 + 5*a^2*b*x^2 + a^3)/x^5","A",0
49,1,37,0,1.247463," ","integrate((b*x^2+a)^3/x^8,x, algorithm=""maxima"")","-\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
50,1,37,0,1.486768," ","integrate((b*x^2+a)^3/x^10,x, algorithm=""maxima"")","-\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
51,1,37,0,1.424114," ","integrate((b*x^2+a)^3/x^12,x, algorithm=""maxima"")","-\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
52,1,57,0,1.431525," ","integrate(x^13*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{24} \, b^{5} x^{24} + \frac{5}{22} \, a b^{4} x^{22} + \frac{1}{2} \, a^{2} b^{3} x^{20} + \frac{5}{9} \, a^{3} b^{2} x^{18} + \frac{5}{16} \, a^{4} b x^{16} + \frac{1}{14} \, a^{5} x^{14}"," ",0,"1/24*b^5*x^24 + 5/22*a*b^4*x^22 + 1/2*a^2*b^3*x^20 + 5/9*a^3*b^2*x^18 + 5/16*a^4*b*x^16 + 1/14*a^5*x^14","A",0
53,1,57,0,1.359202," ","integrate(x^11*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{22} \, b^{5} x^{22} + \frac{1}{4} \, a b^{4} x^{20} + \frac{5}{9} \, a^{2} b^{3} x^{18} + \frac{5}{8} \, a^{3} b^{2} x^{16} + \frac{5}{14} \, a^{4} b x^{14} + \frac{1}{12} \, a^{5} x^{12}"," ",0,"1/22*b^5*x^22 + 1/4*a*b^4*x^20 + 5/9*a^2*b^3*x^18 + 5/8*a^3*b^2*x^16 + 5/14*a^4*b*x^14 + 1/12*a^5*x^12","A",0
54,1,57,0,1.374680," ","integrate(x^9*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{20} \, b^{5} x^{20} + \frac{5}{18} \, a b^{4} x^{18} + \frac{5}{8} \, a^{2} b^{3} x^{16} + \frac{5}{7} \, a^{3} b^{2} x^{14} + \frac{5}{12} \, a^{4} b x^{12} + \frac{1}{10} \, a^{5} x^{10}"," ",0,"1/20*b^5*x^20 + 5/18*a*b^4*x^18 + 5/8*a^2*b^3*x^16 + 5/7*a^3*b^2*x^14 + 5/12*a^4*b*x^12 + 1/10*a^5*x^10","A",0
55,1,57,0,1.369147," ","integrate(x^7*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{18} \, b^{5} x^{18} + \frac{5}{16} \, a b^{4} x^{16} + \frac{5}{7} \, a^{2} b^{3} x^{14} + \frac{5}{6} \, a^{3} b^{2} x^{12} + \frac{1}{2} \, a^{4} b x^{10} + \frac{1}{8} \, a^{5} x^{8}"," ",0,"1/18*b^5*x^18 + 5/16*a*b^4*x^16 + 5/7*a^2*b^3*x^14 + 5/6*a^3*b^2*x^12 + 1/2*a^4*b*x^10 + 1/8*a^5*x^8","A",0
56,1,56,0,1.268520," ","integrate(x^5*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{16} \, b^{5} x^{16} + \frac{5}{14} \, a b^{4} x^{14} + \frac{5}{6} \, a^{2} b^{3} x^{12} + a^{3} b^{2} x^{10} + \frac{5}{8} \, a^{4} b x^{8} + \frac{1}{6} \, a^{5} x^{6}"," ",0,"1/16*b^5*x^16 + 5/14*a*b^4*x^14 + 5/6*a^2*b^3*x^12 + a^3*b^2*x^10 + 5/8*a^4*b*x^8 + 1/6*a^5*x^6","A",0
57,1,56,0,1.362537," ","integrate(x^3*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{14} \, b^{5} x^{14} + \frac{5}{12} \, a b^{4} x^{12} + a^{2} b^{3} x^{10} + \frac{5}{4} \, a^{3} b^{2} x^{8} + \frac{5}{6} \, a^{4} b x^{6} + \frac{1}{4} \, a^{5} x^{4}"," ",0,"1/14*b^5*x^14 + 5/12*a*b^4*x^12 + a^2*b^3*x^10 + 5/4*a^3*b^2*x^8 + 5/6*a^4*b*x^6 + 1/4*a^5*x^4","A",0
58,1,14,0,1.399290," ","integrate(x*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{6}}{12 \, b}"," ",0,"1/12*(b*x^2 + a)^6/b","A",0
59,1,58,0,1.373491," ","integrate((b*x^2+a)^5/x,x, algorithm=""maxima"")","\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} + \frac{1}{2} \, a^{5} \log\left(x^{2}\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 + 1/2*a^5*log(x^2)","A",0
60,1,58,0,1.369161," ","integrate((b*x^2+a)^5/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, b^{5} x^{8} + \frac{5}{6} \, a b^{4} x^{6} + \frac{5}{2} \, a^{2} b^{3} x^{4} + 5 \, a^{3} b^{2} x^{2} + \frac{5}{2} \, a^{4} b \log\left(x^{2}\right) - \frac{a^{5}}{2 \, x^{2}}"," ",0,"1/8*b^5*x^8 + 5/6*a*b^4*x^6 + 5/2*a^2*b^3*x^4 + 5*a^3*b^2*x^2 + 5/2*a^4*b*log(x^2) - 1/2*a^5/x^2","A",0
61,1,59,0,1.328501," ","integrate((b*x^2+a)^5/x^5,x, algorithm=""maxima"")","\frac{1}{6} \, b^{5} x^{6} + \frac{5}{4} \, a b^{4} x^{4} + 5 \, a^{2} b^{3} x^{2} + 5 \, a^{3} b^{2} \log\left(x^{2}\right) - \frac{10 \, a^{4} b x^{2} + a^{5}}{4 \, x^{4}}"," ",0,"1/6*b^5*x^6 + 5/4*a*b^4*x^4 + 5*a^2*b^3*x^2 + 5*a^3*b^2*log(x^2) - 1/4*(10*a^4*b*x^2 + a^5)/x^4","A",0
62,1,61,0,1.397897," ","integrate((b*x^2+a)^5/x^7,x, algorithm=""maxima"")","\frac{1}{4} \, b^{5} x^{4} + \frac{5}{2} \, a b^{4} x^{2} + 5 \, a^{2} b^{3} \log\left(x^{2}\right) - \frac{60 \, a^{3} b^{2} x^{4} + 15 \, a^{4} b x^{2} + 2 \, a^{5}}{12 \, x^{6}}"," ",0,"1/4*b^5*x^4 + 5/2*a*b^4*x^2 + 5*a^2*b^3*log(x^2) - 1/12*(60*a^3*b^2*x^4 + 15*a^4*b*x^2 + 2*a^5)/x^6","A",0
63,1,61,0,1.409573," ","integrate((b*x^2+a)^5/x^9,x, algorithm=""maxima"")","\frac{1}{2} \, b^{5} x^{2} + \frac{5}{2} \, a b^{4} \log\left(x^{2}\right) - \frac{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,"1/2*b^5*x^2 + 5/2*a*b^4*log(x^2) - 1/24*(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
64,1,61,0,1.350599," ","integrate((b*x^2+a)^5/x^11,x, algorithm=""maxima"")","\frac{1}{2} \, b^{5} \log\left(x^{2}\right) - \frac{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,"1/2*b^5*log(x^2) - 1/120*(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
65,1,57,0,1.370306," ","integrate((b*x^2+a)^5/x^13,x, algorithm=""maxima"")","-\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
66,1,59,0,1.343540," ","integrate((b*x^2+a)^5/x^15,x, algorithm=""maxima"")","-\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
67,1,59,0,1.375957," ","integrate((b*x^2+a)^5/x^17,x, algorithm=""maxima"")","-\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
68,1,59,0,1.355529," ","integrate((b*x^2+a)^5/x^19,x, algorithm=""maxima"")","-\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
69,1,59,0,1.345814," ","integrate((b*x^2+a)^5/x^21,x, algorithm=""maxima"")","-\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
70,1,57,0,1.320261," ","integrate(x^8*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{19} \, b^{5} x^{19} + \frac{5}{17} \, a b^{4} x^{17} + \frac{2}{3} \, a^{2} b^{3} x^{15} + \frac{10}{13} \, a^{3} b^{2} x^{13} + \frac{5}{11} \, a^{4} b x^{11} + \frac{1}{9} \, a^{5} x^{9}"," ",0,"1/19*b^5*x^19 + 5/17*a*b^4*x^17 + 2/3*a^2*b^3*x^15 + 10/13*a^3*b^2*x^13 + 5/11*a^4*b*x^11 + 1/9*a^5*x^9","A",0
71,1,57,0,1.310390," ","integrate(x^6*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{17} \, b^{5} x^{17} + \frac{1}{3} \, a b^{4} x^{15} + \frac{10}{13} \, a^{2} b^{3} x^{13} + \frac{10}{11} \, a^{3} b^{2} x^{11} + \frac{5}{9} \, a^{4} b x^{9} + \frac{1}{7} \, a^{5} x^{7}"," ",0,"1/17*b^5*x^17 + 1/3*a*b^4*x^15 + 10/13*a^2*b^3*x^13 + 10/11*a^3*b^2*x^11 + 5/9*a^4*b*x^9 + 1/7*a^5*x^7","A",0
72,1,57,0,1.310751," ","integrate(x^4*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{15} \, b^{5} x^{15} + \frac{5}{13} \, a b^{4} x^{13} + \frac{10}{11} \, a^{2} b^{3} x^{11} + \frac{10}{9} \, a^{3} b^{2} x^{9} + \frac{5}{7} \, a^{4} b x^{7} + \frac{1}{5} \, a^{5} x^{5}"," ",0,"1/15*b^5*x^15 + 5/13*a*b^4*x^13 + 10/11*a^2*b^3*x^11 + 10/9*a^3*b^2*x^9 + 5/7*a^4*b*x^7 + 1/5*a^5*x^5","A",0
73,1,56,0,1.381840," ","integrate(x^2*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{13} \, b^{5} x^{13} + \frac{5}{11} \, a b^{4} x^{11} + \frac{10}{9} \, a^{2} b^{3} x^{9} + \frac{10}{7} \, a^{3} b^{2} x^{7} + a^{4} b x^{5} + \frac{1}{3} \, a^{5} x^{3}"," ",0,"1/13*b^5*x^13 + 5/11*a*b^4*x^11 + 10/9*a^2*b^3*x^9 + 10/7*a^3*b^2*x^7 + a^4*b*x^5 + 1/3*a^5*x^3","A",0
74,1,54,0,1.380380," ","integrate((b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{11} \, b^{5} x^{11} + \frac{5}{9} \, a b^{4} x^{9} + \frac{10}{7} \, a^{2} b^{3} x^{7} + 2 \, a^{3} b^{2} x^{5} + \frac{5}{3} \, a^{4} b x^{3} + a^{5} x"," ",0,"1/11*b^5*x^11 + 5/9*a*b^4*x^9 + 10/7*a^2*b^3*x^7 + 2*a^3*b^2*x^5 + 5/3*a^4*b*x^3 + a^5*x","A",0
75,1,55,0,1.387923," ","integrate((b*x^2+a)^5/x^2,x, algorithm=""maxima"")","\frac{1}{9} \, b^{5} x^{9} + \frac{5}{7} \, a b^{4} x^{7} + 2 \, a^{2} b^{3} x^{5} + \frac{10}{3} \, a^{3} b^{2} x^{3} + 5 \, a^{4} b x - \frac{a^{5}}{x}"," ",0,"1/9*b^5*x^9 + 5/7*a*b^4*x^7 + 2*a^2*b^3*x^5 + 10/3*a^3*b^2*x^3 + 5*a^4*b*x - a^5/x","A",0
76,1,55,0,1.364460," ","integrate((b*x^2+a)^5/x^4,x, algorithm=""maxima"")","\frac{1}{7} \, b^{5} x^{7} + a b^{4} x^{5} + \frac{10}{3} \, a^{2} b^{3} x^{3} + 10 \, a^{3} b^{2} x - \frac{15 \, a^{4} b x^{2} + a^{5}}{3 \, x^{3}}"," ",0,"1/7*b^5*x^7 + a*b^4*x^5 + 10/3*a^2*b^3*x^3 + 10*a^3*b^2*x - 1/3*(15*a^4*b*x^2 + a^5)/x^3","A",0
77,1,58,0,1.378361," ","integrate((b*x^2+a)^5/x^6,x, algorithm=""maxima"")","\frac{1}{5} \, b^{5} x^{5} + \frac{5}{3} \, a b^{4} x^{3} + 10 \, a^{2} b^{3} x - \frac{150 \, a^{3} b^{2} x^{4} + 25 \, a^{4} b x^{2} + 3 \, a^{5}}{15 \, x^{5}}"," ",0,"1/5*b^5*x^5 + 5/3*a*b^4*x^3 + 10*a^2*b^3*x - 1/15*(150*a^3*b^2*x^4 + 25*a^4*b*x^2 + 3*a^5)/x^5","A",0
78,1,58,0,1.435070," ","integrate((b*x^2+a)^5/x^8,x, algorithm=""maxima"")","\frac{1}{3} \, b^{5} x^{3} + 5 \, a b^{4} x - \frac{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,"1/3*b^5*x^3 + 5*a*b^4*x - 1/21*(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
79,1,57,0,1.442523," ","integrate((b*x^2+a)^5/x^10,x, algorithm=""maxima"")","b^{5} x - \frac{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,"b^5*x - 1/63*(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
80,1,59,0,1.362092," ","integrate((b*x^2+a)^5/x^12,x, algorithm=""maxima"")","-\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
81,1,59,0,1.358602," ","integrate((b*x^2+a)^5/x^14,x, algorithm=""maxima"")","-\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
82,1,59,0,1.367576," ","integrate((b*x^2+a)^5/x^16,x, algorithm=""maxima"")","-\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
83,1,59,0,1.324122," ","integrate((b*x^2+a)^5/x^18,x, algorithm=""maxima"")","-\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
84,1,59,0,1.394338," ","integrate((b*x^2+a)^5/x^20,x, algorithm=""maxima"")","-\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
85,1,90,0,1.296160," ","integrate(x^13*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{30} \, b^{8} x^{30} + \frac{2}{7} \, a b^{7} x^{28} + \frac{14}{13} \, a^{2} b^{6} x^{26} + \frac{7}{3} \, a^{3} b^{5} x^{24} + \frac{35}{11} \, a^{4} b^{4} x^{22} + \frac{14}{5} \, a^{5} b^{3} x^{20} + \frac{14}{9} \, a^{6} b^{2} x^{18} + \frac{1}{2} \, a^{7} b x^{16} + \frac{1}{14} \, a^{8} x^{14}"," ",0,"1/30*b^8*x^30 + 2/7*a*b^7*x^28 + 14/13*a^2*b^6*x^26 + 7/3*a^3*b^5*x^24 + 35/11*a^4*b^4*x^22 + 14/5*a^5*b^3*x^20 + 14/9*a^6*b^2*x^18 + 1/2*a^7*b*x^16 + 1/14*a^8*x^14","A",0
86,1,90,0,1.345155," ","integrate(x^11*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{28} \, b^{8} x^{28} + \frac{4}{13} \, a b^{7} x^{26} + \frac{7}{6} \, a^{2} b^{6} x^{24} + \frac{28}{11} \, a^{3} b^{5} x^{22} + \frac{7}{2} \, a^{4} b^{4} x^{20} + \frac{28}{9} \, a^{5} b^{3} x^{18} + \frac{7}{4} \, a^{6} b^{2} x^{16} + \frac{4}{7} \, a^{7} b x^{14} + \frac{1}{12} \, a^{8} x^{12}"," ",0,"1/28*b^8*x^28 + 4/13*a*b^7*x^26 + 7/6*a^2*b^6*x^24 + 28/11*a^3*b^5*x^22 + 7/2*a^4*b^4*x^20 + 28/9*a^5*b^3*x^18 + 7/4*a^6*b^2*x^16 + 4/7*a^7*b*x^14 + 1/12*a^8*x^12","A",0
87,1,90,0,1.283094," ","integrate(x^9*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{26} \, b^{8} x^{26} + \frac{1}{3} \, a b^{7} x^{24} + \frac{14}{11} \, a^{2} b^{6} x^{22} + \frac{14}{5} \, a^{3} b^{5} x^{20} + \frac{35}{9} \, a^{4} b^{4} x^{18} + \frac{7}{2} \, a^{5} b^{3} x^{16} + 2 \, a^{6} b^{2} x^{14} + \frac{2}{3} \, a^{7} b x^{12} + \frac{1}{10} \, a^{8} x^{10}"," ",0,"1/26*b^8*x^26 + 1/3*a*b^7*x^24 + 14/11*a^2*b^6*x^22 + 14/5*a^3*b^5*x^20 + 35/9*a^4*b^4*x^18 + 7/2*a^5*b^3*x^16 + 2*a^6*b^2*x^14 + 2/3*a^7*b*x^12 + 1/10*a^8*x^10","A",0
88,1,90,0,1.289434," ","integrate(x^7*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{24} \, b^{8} x^{24} + \frac{4}{11} \, a b^{7} x^{22} + \frac{7}{5} \, a^{2} b^{6} x^{20} + \frac{28}{9} \, a^{3} b^{5} x^{18} + \frac{35}{8} \, a^{4} b^{4} x^{16} + 4 \, a^{5} b^{3} x^{14} + \frac{7}{3} \, a^{6} b^{2} x^{12} + \frac{4}{5} \, a^{7} b x^{10} + \frac{1}{8} \, a^{8} x^{8}"," ",0,"1/24*b^8*x^24 + 4/11*a*b^7*x^22 + 7/5*a^2*b^6*x^20 + 28/9*a^3*b^5*x^18 + 35/8*a^4*b^4*x^16 + 4*a^5*b^3*x^14 + 7/3*a^6*b^2*x^12 + 4/5*a^7*b*x^10 + 1/8*a^8*x^8","A",0
89,1,89,0,1.354062," ","integrate(x^5*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{22} \, b^{8} x^{22} + \frac{2}{5} \, a b^{7} x^{20} + \frac{14}{9} \, a^{2} b^{6} x^{18} + \frac{7}{2} \, a^{3} b^{5} x^{16} + 5 \, a^{4} b^{4} x^{14} + \frac{14}{3} \, a^{5} b^{3} x^{12} + \frac{14}{5} \, a^{6} b^{2} x^{10} + a^{7} b x^{8} + \frac{1}{6} \, a^{8} x^{6}"," ",0,"1/22*b^8*x^22 + 2/5*a*b^7*x^20 + 14/9*a^2*b^6*x^18 + 7/2*a^3*b^5*x^16 + 5*a^4*b^4*x^14 + 14/3*a^5*b^3*x^12 + 14/5*a^6*b^2*x^10 + a^7*b*x^8 + 1/6*a^8*x^6","A",0
90,1,90,0,1.432727," ","integrate(x^3*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{20} \, b^{8} x^{20} + \frac{4}{9} \, a b^{7} x^{18} + \frac{7}{4} \, a^{2} b^{6} x^{16} + 4 \, a^{3} b^{5} x^{14} + \frac{35}{6} \, a^{4} b^{4} x^{12} + \frac{28}{5} \, a^{5} b^{3} x^{10} + \frac{7}{2} \, a^{6} b^{2} x^{8} + \frac{4}{3} \, a^{7} b x^{6} + \frac{1}{4} \, a^{8} x^{4}"," ",0,"1/20*b^8*x^20 + 4/9*a*b^7*x^18 + 7/4*a^2*b^6*x^16 + 4*a^3*b^5*x^14 + 35/6*a^4*b^4*x^12 + 28/5*a^5*b^3*x^10 + 7/2*a^6*b^2*x^8 + 4/3*a^7*b*x^6 + 1/4*a^8*x^4","B",0
91,1,14,0,1.275834," ","integrate(x*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{9}}{18 \, b}"," ",0,"1/18*(b*x^2 + a)^9/b","A",0
92,1,91,0,1.298584," ","integrate((b*x^2+a)^8/x,x, algorithm=""maxima"")","\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} + \frac{1}{2} \, a^{8} \log\left(x^{2}\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 + 1/2*a^8*log(x^2)","A",0
93,1,91,0,1.378465," ","integrate((b*x^2+a)^8/x^3,x, algorithm=""maxima"")","\frac{1}{14} \, b^{8} x^{14} + \frac{2}{3} \, a b^{7} x^{12} + \frac{14}{5} \, a^{2} b^{6} x^{10} + 7 \, a^{3} b^{5} x^{8} + \frac{35}{3} \, a^{4} b^{4} x^{6} + 14 \, a^{5} b^{3} x^{4} + 14 \, a^{6} b^{2} x^{2} + 4 \, a^{7} b \log\left(x^{2}\right) - \frac{a^{8}}{2 \, x^{2}}"," ",0,"1/14*b^8*x^14 + 2/3*a*b^7*x^12 + 14/5*a^2*b^6*x^10 + 7*a^3*b^5*x^8 + 35/3*a^4*b^4*x^6 + 14*a^5*b^3*x^4 + 14*a^6*b^2*x^2 + 4*a^7*b*log(x^2) - 1/2*a^8/x^2","A",0
94,1,92,0,1.325125," ","integrate((b*x^2+a)^8/x^5,x, algorithm=""maxima"")","\frac{1}{12} \, b^{8} x^{12} + \frac{4}{5} \, a b^{7} x^{10} + \frac{7}{2} \, a^{2} b^{6} x^{8} + \frac{28}{3} \, a^{3} b^{5} x^{6} + \frac{35}{2} \, a^{4} b^{4} x^{4} + 28 \, a^{5} b^{3} x^{2} + 14 \, a^{6} b^{2} \log\left(x^{2}\right) - \frac{16 \, a^{7} b x^{2} + a^{8}}{4 \, x^{4}}"," ",0,"1/12*b^8*x^12 + 4/5*a*b^7*x^10 + 7/2*a^2*b^6*x^8 + 28/3*a^3*b^5*x^6 + 35/2*a^4*b^4*x^4 + 28*a^5*b^3*x^2 + 14*a^6*b^2*log(x^2) - 1/4*(16*a^7*b*x^2 + a^8)/x^4","A",0
95,1,91,0,1.345482," ","integrate((b*x^2+a)^8/x^7,x, algorithm=""maxima"")","\frac{1}{10} \, b^{8} x^{10} + a b^{7} x^{8} + \frac{14}{3} \, a^{2} b^{6} x^{6} + 14 \, a^{3} b^{5} x^{4} + 35 \, a^{4} b^{4} x^{2} + 28 \, a^{5} b^{3} \log\left(x^{2}\right) - \frac{84 \, a^{6} b^{2} x^{4} + 12 \, a^{7} b x^{2} + a^{8}}{6 \, x^{6}}"," ",0,"1/10*b^8*x^10 + a*b^7*x^8 + 14/3*a^2*b^6*x^6 + 14*a^3*b^5*x^4 + 35*a^4*b^4*x^2 + 28*a^5*b^3*log(x^2) - 1/6*(84*a^6*b^2*x^4 + 12*a^7*b*x^2 + a^8)/x^6","A",0
96,1,94,0,1.386474," ","integrate((b*x^2+a)^8/x^9,x, algorithm=""maxima"")","\frac{1}{8} \, b^{8} x^{8} + \frac{4}{3} \, a b^{7} x^{6} + 7 \, a^{2} b^{6} x^{4} + 28 \, a^{3} b^{5} x^{2} + 35 \, a^{4} b^{4} \log\left(x^{2}\right) - \frac{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,"1/8*b^8*x^8 + 4/3*a*b^7*x^6 + 7*a^2*b^6*x^4 + 28*a^3*b^5*x^2 + 35*a^4*b^4*log(x^2) - 1/24*(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
97,1,94,0,1.330341," ","integrate((b*x^2+a)^8/x^11,x, algorithm=""maxima"")","\frac{1}{6} \, b^{8} x^{6} + 2 \, a b^{7} x^{4} + 14 \, a^{2} b^{6} x^{2} + 28 \, a^{3} b^{5} \log\left(x^{2}\right) - \frac{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,"1/6*b^8*x^6 + 2*a*b^7*x^4 + 14*a^2*b^6*x^2 + 28*a^3*b^5*log(x^2) - 1/30*(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
98,1,94,0,1.379815," ","integrate((b*x^2+a)^8/x^13,x, algorithm=""maxima"")","\frac{1}{4} \, b^{8} x^{4} + 4 \, a b^{7} x^{2} + 14 \, a^{2} b^{6} \log\left(x^{2}\right) - \frac{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,"1/4*b^8*x^4 + 4*a*b^7*x^2 + 14*a^2*b^6*log(x^2) - 1/60*(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
99,1,94,0,1.348394," ","integrate((b*x^2+a)^8/x^15,x, algorithm=""maxima"")","\frac{1}{2} \, b^{8} x^{2} + 4 \, a b^{7} \log\left(x^{2}\right) - \frac{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,"1/2*b^8*x^2 + 4*a*b^7*log(x^2) - 1/210*(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
100,1,94,0,1.360026," ","integrate((b*x^2+a)^8/x^17,x, algorithm=""maxima"")","\frac{1}{2} \, b^{8} \log\left(x^{2}\right) - \frac{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,"1/2*b^8*log(x^2) - 1/1680*(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
101,1,90,0,1.323985," ","integrate((b*x^2+a)^8/x^19,x, algorithm=""maxima"")","-\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
102,1,92,0,1.347150," ","integrate((b*x^2+a)^8/x^21,x, algorithm=""maxima"")","-\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
103,1,92,0,1.363358," ","integrate((b*x^2+a)^8/x^23,x, algorithm=""maxima"")","-\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
104,1,92,0,1.393792," ","integrate((b*x^2+a)^8/x^25,x, algorithm=""maxima"")","-\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
105,1,92,0,1.303829," ","integrate((b*x^2+a)^8/x^27,x, algorithm=""maxima"")","-\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
106,1,92,0,1.414814," ","integrate((b*x^2+a)^8/x^29,x, algorithm=""maxima"")","-\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
107,1,92,0,1.313848," ","integrate((b*x^2+a)^8/x^31,x, algorithm=""maxima"")","-\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
108,1,92,0,1.337085," ","integrate((b*x^2+a)^8/x^33,x, algorithm=""maxima"")","-\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
109,1,90,0,1.361699," ","integrate(x^8*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{25} \, b^{8} x^{25} + \frac{8}{23} \, a b^{7} x^{23} + \frac{4}{3} \, a^{2} b^{6} x^{21} + \frac{56}{19} \, a^{3} b^{5} x^{19} + \frac{70}{17} \, a^{4} b^{4} x^{17} + \frac{56}{15} \, a^{5} b^{3} x^{15} + \frac{28}{13} \, a^{6} b^{2} x^{13} + \frac{8}{11} \, a^{7} b x^{11} + \frac{1}{9} \, a^{8} x^{9}"," ",0,"1/25*b^8*x^25 + 8/23*a*b^7*x^23 + 4/3*a^2*b^6*x^21 + 56/19*a^3*b^5*x^19 + 70/17*a^4*b^4*x^17 + 56/15*a^5*b^3*x^15 + 28/13*a^6*b^2*x^13 + 8/11*a^7*b*x^11 + 1/9*a^8*x^9","A",0
110,1,90,0,1.323746," ","integrate(x^6*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{23} \, b^{8} x^{23} + \frac{8}{21} \, a b^{7} x^{21} + \frac{28}{19} \, a^{2} b^{6} x^{19} + \frac{56}{17} \, a^{3} b^{5} x^{17} + \frac{14}{3} \, a^{4} b^{4} x^{15} + \frac{56}{13} \, a^{5} b^{3} x^{13} + \frac{28}{11} \, a^{6} b^{2} x^{11} + \frac{8}{9} \, a^{7} b x^{9} + \frac{1}{7} \, a^{8} x^{7}"," ",0,"1/23*b^8*x^23 + 8/21*a*b^7*x^21 + 28/19*a^2*b^6*x^19 + 56/17*a^3*b^5*x^17 + 14/3*a^4*b^4*x^15 + 56/13*a^5*b^3*x^13 + 28/11*a^6*b^2*x^11 + 8/9*a^7*b*x^9 + 1/7*a^8*x^7","A",0
111,1,90,0,1.335298," ","integrate(x^4*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{21} \, b^{8} x^{21} + \frac{8}{19} \, a b^{7} x^{19} + \frac{28}{17} \, a^{2} b^{6} x^{17} + \frac{56}{15} \, a^{3} b^{5} x^{15} + \frac{70}{13} \, a^{4} b^{4} x^{13} + \frac{56}{11} \, a^{5} b^{3} x^{11} + \frac{28}{9} \, a^{6} b^{2} x^{9} + \frac{8}{7} \, a^{7} b x^{7} + \frac{1}{5} \, a^{8} x^{5}"," ",0,"1/21*b^8*x^21 + 8/19*a*b^7*x^19 + 28/17*a^2*b^6*x^17 + 56/15*a^3*b^5*x^15 + 70/13*a^4*b^4*x^13 + 56/11*a^5*b^3*x^11 + 28/9*a^6*b^2*x^9 + 8/7*a^7*b*x^7 + 1/5*a^8*x^5","A",0
112,1,90,0,1.371644," ","integrate(x^2*(b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{19} \, b^{8} x^{19} + \frac{8}{17} \, a b^{7} x^{17} + \frac{28}{15} \, a^{2} b^{6} x^{15} + \frac{56}{13} \, a^{3} b^{5} x^{13} + \frac{70}{11} \, a^{4} b^{4} x^{11} + \frac{56}{9} \, a^{5} b^{3} x^{9} + 4 \, a^{6} b^{2} x^{7} + \frac{8}{5} \, a^{7} b x^{5} + \frac{1}{3} \, a^{8} x^{3}"," ",0,"1/19*b^8*x^19 + 8/17*a*b^7*x^17 + 28/15*a^2*b^6*x^15 + 56/13*a^3*b^5*x^13 + 70/11*a^4*b^4*x^11 + 56/9*a^5*b^3*x^9 + 4*a^6*b^2*x^7 + 8/5*a^7*b*x^5 + 1/3*a^8*x^3","A",0
113,1,87,0,1.303881," ","integrate((b*x^2+a)^8,x, algorithm=""maxima"")","\frac{1}{17} \, b^{8} x^{17} + \frac{8}{15} \, a b^{7} x^{15} + \frac{28}{13} \, a^{2} b^{6} x^{13} + \frac{56}{11} \, a^{3} b^{5} x^{11} + \frac{70}{9} \, a^{4} b^{4} x^{9} + 8 \, a^{5} b^{3} x^{7} + \frac{28}{5} \, a^{6} b^{2} x^{5} + \frac{8}{3} \, a^{7} b x^{3} + a^{8} x"," ",0,"1/17*b^8*x^17 + 8/15*a*b^7*x^15 + 28/13*a^2*b^6*x^13 + 56/11*a^3*b^5*x^11 + 70/9*a^4*b^4*x^9 + 8*a^5*b^3*x^7 + 28/5*a^6*b^2*x^5 + 8/3*a^7*b*x^3 + a^8*x","A",0
114,1,88,0,1.301299," ","integrate((b*x^2+a)^8/x^2,x, algorithm=""maxima"")","\frac{1}{15} \, b^{8} x^{15} + \frac{8}{13} \, a b^{7} x^{13} + \frac{28}{11} \, a^{2} b^{6} x^{11} + \frac{56}{9} \, a^{3} b^{5} x^{9} + 10 \, a^{4} b^{4} x^{7} + \frac{56}{5} \, a^{5} b^{3} x^{5} + \frac{28}{3} \, a^{6} b^{2} x^{3} + 8 \, a^{7} b x - \frac{a^{8}}{x}"," ",0,"1/15*b^8*x^15 + 8/13*a*b^7*x^13 + 28/11*a^2*b^6*x^11 + 56/9*a^3*b^5*x^9 + 10*a^4*b^4*x^7 + 56/5*a^5*b^3*x^5 + 28/3*a^6*b^2*x^3 + 8*a^7*b*x - a^8/x","A",0
115,1,89,0,1.381643," ","integrate((b*x^2+a)^8/x^4,x, algorithm=""maxima"")","\frac{1}{13} \, b^{8} x^{13} + \frac{8}{11} \, a b^{7} x^{11} + \frac{28}{9} \, a^{2} b^{6} x^{9} + 8 \, a^{3} b^{5} x^{7} + 14 \, a^{4} b^{4} x^{5} + \frac{56}{3} \, a^{5} b^{3} x^{3} + 28 \, a^{6} b^{2} x - \frac{24 \, a^{7} b x^{2} + a^{8}}{3 \, x^{3}}"," ",0,"1/13*b^8*x^13 + 8/11*a*b^7*x^11 + 28/9*a^2*b^6*x^9 + 8*a^3*b^5*x^7 + 14*a^4*b^4*x^5 + 56/3*a^5*b^3*x^3 + 28*a^6*b^2*x - 1/3*(24*a^7*b*x^2 + a^8)/x^3","A",0
116,1,91,0,1.213479," ","integrate((b*x^2+a)^8/x^6,x, algorithm=""maxima"")","\frac{1}{11} \, b^{8} x^{11} + \frac{8}{9} \, a b^{7} x^{9} + 4 \, a^{2} b^{6} x^{7} + \frac{56}{5} \, a^{3} b^{5} x^{5} + \frac{70}{3} \, a^{4} b^{4} x^{3} + 56 \, a^{5} b^{3} x - \frac{420 \, a^{6} b^{2} x^{4} + 40 \, a^{7} b x^{2} + 3 \, a^{8}}{15 \, x^{5}}"," ",0,"1/11*b^8*x^11 + 8/9*a*b^7*x^9 + 4*a^2*b^6*x^7 + 56/5*a^3*b^5*x^5 + 70/3*a^4*b^4*x^3 + 56*a^5*b^3*x - 1/15*(420*a^6*b^2*x^4 + 40*a^7*b*x^2 + 3*a^8)/x^5","A",0
117,1,91,0,1.355800," ","integrate((b*x^2+a)^8/x^8,x, algorithm=""maxima"")","\frac{1}{9} \, b^{8} x^{9} + \frac{8}{7} \, a b^{7} x^{7} + \frac{28}{5} \, a^{2} b^{6} x^{5} + \frac{56}{3} \, a^{3} b^{5} x^{3} + 70 \, a^{4} b^{4} x - \frac{5880 \, a^{5} b^{3} x^{6} + 980 \, a^{6} b^{2} x^{4} + 168 \, a^{7} b x^{2} + 15 \, a^{8}}{105 \, x^{7}}"," ",0,"1/9*b^8*x^9 + 8/7*a*b^7*x^7 + 28/5*a^2*b^6*x^5 + 56/3*a^3*b^5*x^3 + 70*a^4*b^4*x - 1/105*(5880*a^5*b^3*x^6 + 980*a^6*b^2*x^4 + 168*a^7*b*x^2 + 15*a^8)/x^7","A",0
118,1,91,0,1.360337," ","integrate((b*x^2+a)^8/x^10,x, algorithm=""maxima"")","\frac{1}{7} \, b^{8} x^{7} + \frac{8}{5} \, a b^{7} x^{5} + \frac{28}{3} \, a^{2} b^{6} x^{3} + 56 \, a^{3} b^{5} x - \frac{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,"1/7*b^8*x^7 + 8/5*a*b^7*x^5 + 28/3*a^2*b^6*x^3 + 56*a^3*b^5*x - 1/315*(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
119,1,91,0,1.395969," ","integrate((b*x^2+a)^8/x^12,x, algorithm=""maxima"")","\frac{1}{5} \, b^{8} x^{5} + \frac{8}{3} \, a b^{7} x^{3} + 28 \, a^{2} b^{6} x - \frac{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,"1/5*b^8*x^5 + 8/3*a*b^7*x^3 + 28*a^2*b^6*x - 1/495*(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
120,1,91,0,1.331192," ","integrate((b*x^2+a)^8/x^14,x, algorithm=""maxima"")","\frac{1}{3} \, b^{8} x^{3} + 8 \, a b^{7} x - \frac{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,"1/3*b^8*x^3 + 8*a*b^7*x - 1/1287*(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
121,1,90,0,1.406840," ","integrate((b*x^2+a)^8/x^16,x, algorithm=""maxima"")","b^{8} x - \frac{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,"b^8*x - 1/6435*(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
122,1,92,0,1.360023," ","integrate((b*x^2+a)^8/x^18,x, algorithm=""maxima"")","-\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
123,1,92,0,1.360194," ","integrate((b*x^2+a)^8/x^20,x, algorithm=""maxima"")","-\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
124,1,68,0,1.357546," ","integrate(x^11/(b*x^2+a),x, algorithm=""maxima"")","-\frac{a^{5} \log\left(b x^{2} + a\right)}{2 \, b^{6}} + \frac{12 \, b^{4} x^{10} - 15 \, a b^{3} x^{8} + 20 \, a^{2} b^{2} x^{6} - 30 \, a^{3} b x^{4} + 60 \, a^{4} x^{2}}{120 \, b^{5}}"," ",0,"-1/2*a^5*log(b*x^2 + a)/b^6 + 1/120*(12*b^4*x^10 - 15*a*b^3*x^8 + 20*a^2*b^2*x^6 - 30*a^3*b*x^4 + 60*a^4*x^2)/b^5","A",0
125,1,72,0,2.920588," ","integrate(x^10/(b*x^2+a),x, algorithm=""maxima"")","-\frac{a^{5} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} 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} x}{315 \, b^{5}}"," ",0,"-a^5*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*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*x)/b^5","A",0
126,1,57,0,1.346839," ","integrate(x^9/(b*x^2+a),x, algorithm=""maxima"")","\frac{a^{4} \log\left(b x^{2} + a\right)}{2 \, b^{5}} + \frac{3 \, b^{3} x^{8} - 4 \, a b^{2} x^{6} + 6 \, a^{2} b x^{4} - 12 \, a^{3} x^{2}}{24 \, b^{4}}"," ",0,"1/2*a^4*log(b*x^2 + a)/b^5 + 1/24*(3*b^3*x^8 - 4*a*b^2*x^6 + 6*a^2*b*x^4 - 12*a^3*x^2)/b^4","A",0
127,1,60,0,2.936492," ","integrate(x^8/(b*x^2+a),x, algorithm=""maxima"")","\frac{a^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{15 \, b^{3} x^{7} - 21 \, a b^{2} x^{5} + 35 \, a^{2} b x^{3} - 105 \, a^{3} x}{105 \, b^{4}}"," ",0,"a^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^4) + 1/105*(15*b^3*x^7 - 21*a*b^2*x^5 + 35*a^2*b*x^3 - 105*a^3*x)/b^4","A",0
128,1,46,0,1.362645," ","integrate(x^7/(b*x^2+a),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(b x^{2} + a\right)}{2 \, b^{4}} + \frac{2 \, b^{2} x^{6} - 3 \, a b x^{4} + 6 \, a^{2} x^{2}}{12 \, b^{3}}"," ",0,"-1/2*a^3*log(b*x^2 + a)/b^4 + 1/12*(2*b^2*x^6 - 3*a*b*x^4 + 6*a^2*x^2)/b^3","A",0
129,1,50,0,2.839104," ","integrate(x^6/(b*x^2+a),x, algorithm=""maxima"")","-\frac{a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{3 \, b^{2} x^{5} - 5 \, a b x^{3} + 15 \, a^{2} x}{15 \, b^{3}}"," ",0,"-a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^3) + 1/15*(3*b^2*x^5 - 5*a*b*x^3 + 15*a^2*x)/b^3","A",0
130,1,34,0,1.306683," ","integrate(x^5/(b*x^2+a),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x^{2} + a\right)}{2 \, b^{3}} + \frac{b x^{4} - 2 \, a x^{2}}{4 \, b^{2}}"," ",0,"1/2*a^2*log(b*x^2 + a)/b^3 + 1/4*(b*x^4 - 2*a*x^2)/b^2","A",0
131,1,37,0,2.802855," ","integrate(x^4/(b*x^2+a),x, algorithm=""maxima"")","\frac{a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{b x^{3} - 3 \, a x}{3 \, b^{2}}"," ",0,"a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2) + 1/3*(b*x^3 - 3*a*x)/b^2","A",0
132,1,23,0,1.322654," ","integrate(x^3/(b*x^2+a),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, b} - \frac{a \log\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*x^2/b - 1/2*a*log(b*x^2 + a)/b^2","A",0
133,1,26,0,2.972286," ","integrate(x^2/(b*x^2+a),x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{x}{b}"," ",0,"-a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b) + x/b","A",0
134,1,13,0,1.338352," ","integrate(x/(b*x^2+a),x, algorithm=""maxima"")","\frac{\log\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*log(b*x^2 + a)/b","A",0
135,1,15,0,2.902635," ","integrate(1/(b*x^2+a),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"arctan(b*x/sqrt(a*b))/sqrt(a*b)","A",0
136,1,23,0,1.332446," ","integrate(1/x/(b*x^2+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{2} + a\right)}{2 \, a} + \frac{\log\left(x^{2}\right)}{2 \, a}"," ",0,"-1/2*log(b*x^2 + a)/a + 1/2*log(x^2)/a","A",0
137,1,29,0,2.890873," ","integrate(1/x^2/(b*x^2+a),x, algorithm=""maxima"")","-\frac{b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{1}{a x}"," ",0,"-b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a) - 1/(a*x)","A",0
138,1,33,0,1.371452," ","integrate(1/x^3/(b*x^2+a),x, algorithm=""maxima"")","\frac{b \log\left(b x^{2} + a\right)}{2 \, a^{2}} - \frac{b \log\left(x^{2}\right)}{2 \, a^{2}} - \frac{1}{2 \, a x^{2}}"," ",0,"1/2*b*log(b*x^2 + a)/a^2 - 1/2*b*log(x^2)/a^2 - 1/2/(a*x^2)","A",0
139,1,40,0,2.884469," ","integrate(1/x^4/(b*x^2+a),x, algorithm=""maxima"")","\frac{b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{3 \, b x^{2} - a}{3 \, a^{2} x^{3}}"," ",0,"b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/3*(3*b*x^2 - a)/(a^2*x^3)","A",0
140,1,47,0,1.359489," ","integrate(1/x^5/(b*x^2+a),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(b x^{2} + a\right)}{2 \, a^{3}} + \frac{b^{2} \log\left(x^{2}\right)}{2 \, a^{3}} + \frac{2 \, b x^{2} - a}{4 \, a^{2} x^{4}}"," ",0,"-1/2*b^2*log(b*x^2 + a)/a^3 + 1/2*b^2*log(x^2)/a^3 + 1/4*(2*b*x^2 - a)/(a^2*x^4)","A",0
141,1,52,0,2.886075," ","integrate(1/x^6/(b*x^2+a),x, algorithm=""maxima"")","-\frac{b^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} - \frac{15 \, b^{2} x^{4} - 5 \, a b x^{2} + 3 \, a^{2}}{15 \, a^{3} x^{5}}"," ",0,"-b^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3) - 1/15*(15*b^2*x^4 - 5*a*b*x^2 + 3*a^2)/(a^3*x^5)","A",0
142,1,58,0,1.357959," ","integrate(1/x^7/(b*x^2+a),x, algorithm=""maxima"")","\frac{b^{3} \log\left(b x^{2} + a\right)}{2 \, a^{4}} - \frac{b^{3} \log\left(x^{2}\right)}{2 \, a^{4}} - \frac{6 \, b^{2} x^{4} - 3 \, a b x^{2} + 2 \, a^{2}}{12 \, a^{3} x^{6}}"," ",0,"1/2*b^3*log(b*x^2 + a)/a^4 - 1/2*b^3*log(x^2)/a^4 - 1/12*(6*b^2*x^4 - 3*a*b*x^2 + 2*a^2)/(a^3*x^6)","A",0
143,1,62,0,2.925318," ","integrate(1/x^8/(b*x^2+a),x, algorithm=""maxima"")","\frac{b^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}} + \frac{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}}"," ",0,"b^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^4) + 1/105*(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
144,1,69,0,1.331349," ","integrate(1/x^9/(b*x^2+a),x, algorithm=""maxima"")","-\frac{b^{4} \log\left(b x^{2} + a\right)}{2 \, a^{5}} + \frac{b^{4} \log\left(x^{2}\right)}{2 \, a^{5}} + \frac{12 \, b^{3} x^{6} - 6 \, a b^{2} x^{4} + 4 \, a^{2} b x^{2} - 3 \, a^{3}}{24 \, a^{4} x^{8}}"," ",0,"-1/2*b^4*log(b*x^2 + a)/a^5 + 1/2*b^4*log(x^2)/a^5 + 1/24*(12*b^3*x^6 - 6*a*b^2*x^4 + 4*a^2*b*x^2 - 3*a^3)/(a^4*x^8)","A",0
145,1,88,0,1.334522," ","integrate(x^13/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{a^{6}}{2 \, {\left(b^{8} x^{2} + a b^{7}\right)}} - \frac{3 \, a^{5} \log\left(b x^{2} + a\right)}{b^{7}} + \frac{2 \, b^{4} x^{10} - 5 \, a b^{3} x^{8} + 10 \, a^{2} b^{2} x^{6} - 20 \, a^{3} b x^{4} + 50 \, a^{4} x^{2}}{20 \, b^{6}}"," ",0,"-1/2*a^6/(b^8*x^2 + a*b^7) - 3*a^5*log(b*x^2 + a)/b^7 + 1/20*(2*b^4*x^10 - 5*a*b^3*x^8 + 10*a^2*b^2*x^6 - 20*a^3*b*x^4 + 50*a^4*x^2)/b^6","A",0
146,1,93,0,2.916058," ","integrate(x^12/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{a^{5} x}{2 \, {\left(b^{7} x^{2} + a b^{6}\right)}} - \frac{11 \, a^{5} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{6}} + \frac{35 \, b^{4} x^{9} - 90 \, a b^{3} x^{7} + 189 \, a^{2} b^{2} x^{5} - 420 \, a^{3} b x^{3} + 1575 \, a^{4} x}{315 \, b^{6}}"," ",0,"1/2*a^5*x/(b^7*x^2 + a*b^6) - 11/2*a^5*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^6) + 1/315*(35*b^4*x^9 - 90*a*b^3*x^7 + 189*a^2*b^2*x^5 - 420*a^3*b*x^3 + 1575*a^4*x)/b^6","A",0
147,1,77,0,1.359580," ","integrate(x^11/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{a^{5}}{2 \, {\left(b^{7} x^{2} + a b^{6}\right)}} + \frac{5 \, a^{4} \log\left(b x^{2} + a\right)}{2 \, b^{6}} + \frac{3 \, b^{3} x^{8} - 8 \, a b^{2} x^{6} + 18 \, a^{2} b x^{4} - 48 \, a^{3} x^{2}}{24 \, b^{5}}"," ",0,"1/2*a^5/(b^7*x^2 + a*b^6) + 5/2*a^4*log(b*x^2 + a)/b^6 + 1/24*(3*b^3*x^8 - 8*a*b^2*x^6 + 18*a^2*b*x^4 - 48*a^3*x^2)/b^5","A",0
148,1,82,0,3.009103," ","integrate(x^10/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{a^{4} x}{2 \, {\left(b^{6} x^{2} + a b^{5}\right)}} + \frac{9 \, a^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{5}} + \frac{5 \, b^{3} x^{7} - 14 \, a b^{2} x^{5} + 35 \, a^{2} b x^{3} - 140 \, a^{3} x}{35 \, b^{5}}"," ",0,"-1/2*a^4*x/(b^6*x^2 + a*b^5) + 9/2*a^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^5) + 1/35*(5*b^3*x^7 - 14*a*b^2*x^5 + 35*a^2*b*x^3 - 140*a^3*x)/b^5","A",0
149,1,65,0,1.345835," ","integrate(x^9/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{a^{4}}{2 \, {\left(b^{6} x^{2} + a b^{5}\right)}} - \frac{2 \, a^{3} \log\left(b x^{2} + a\right)}{b^{5}} + \frac{b^{2} x^{6} - 3 \, a b x^{4} + 9 \, a^{2} x^{2}}{6 \, b^{4}}"," ",0,"-1/2*a^4/(b^6*x^2 + a*b^5) - 2*a^3*log(b*x^2 + a)/b^5 + 1/6*(b^2*x^6 - 3*a*b*x^4 + 9*a^2*x^2)/b^4","A",0
150,1,71,0,2.967249," ","integrate(x^8/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{a^{3} x}{2 \, {\left(b^{5} x^{2} + a b^{4}\right)}} - \frac{7 \, a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{4}} + \frac{3 \, b^{2} x^{5} - 10 \, a b x^{3} + 45 \, a^{2} x}{15 \, b^{4}}"," ",0,"1/2*a^3*x/(b^5*x^2 + a*b^4) - 7/2*a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^4) + 1/15*(3*b^2*x^5 - 10*a*b*x^3 + 45*a^2*x)/b^4","A",0
151,1,54,0,1.373086," ","integrate(x^7/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{a^{3}}{2 \, {\left(b^{5} x^{2} + a b^{4}\right)}} + \frac{3 \, a^{2} \log\left(b x^{2} + a\right)}{2 \, b^{4}} + \frac{b x^{4} - 4 \, a x^{2}}{4 \, b^{3}}"," ",0,"1/2*a^3/(b^5*x^2 + a*b^4) + 3/2*a^2*log(b*x^2 + a)/b^4 + 1/4*(b*x^4 - 4*a*x^2)/b^3","A",0
152,1,59,0,2.971766," ","integrate(x^6/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{a^{2} x}{2 \, {\left(b^{4} x^{2} + a b^{3}\right)}} + \frac{5 \, a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{3}} + \frac{b x^{3} - 6 \, a x}{3 \, b^{3}}"," ",0,"-1/2*a^2*x/(b^4*x^2 + a*b^3) + 5/2*a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^3) + 1/3*(b*x^3 - 6*a*x)/b^3","A",0
153,1,43,0,1.385422," ","integrate(x^5/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{2 \, {\left(b^{4} x^{2} + a b^{3}\right)}} + \frac{x^{2}}{2 \, b^{2}} - \frac{a \log\left(b x^{2} + a\right)}{b^{3}}"," ",0,"-1/2*a^2/(b^4*x^2 + a*b^3) + 1/2*x^2/b^2 - a*log(b*x^2 + a)/b^3","A",0
154,1,45,0,2.943977," ","integrate(x^4/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{a x}{2 \, {\left(b^{3} x^{2} + a b^{2}\right)}} - \frac{3 \, a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{2}} + \frac{x}{b^{2}}"," ",0,"1/2*a*x/(b^3*x^2 + a*b^2) - 3/2*a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2) + x/b^2","A",0
155,1,32,0,1.318460," ","integrate(x^3/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{a}{2 \, {\left(b^{3} x^{2} + a b^{2}\right)}} + \frac{\log\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*a/(b^3*x^2 + a*b^2) + 1/2*log(b*x^2 + a)/b^2","A",0
156,1,36,0,2.963808," ","integrate(x^2/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(b^{2} x^{2} + a b\right)}} + \frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b}"," ",0,"-1/2*x/(b^2*x^2 + a*b) + 1/2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b)","A",0
157,1,14,0,1.297610," ","integrate(x/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b x^{2} + a\right)} b}"," ",0,"-1/2/((b*x^2 + a)*b)","A",0
158,1,35,0,2.961538," ","integrate(1/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{x}{2 \, {\left(a b x^{2} + a^{2}\right)}} + \frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a}"," ",0,"1/2*x/(a*b*x^2 + a^2) + 1/2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a)","A",0
159,1,37,0,1.390796," ","integrate(1/x/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(a b x^{2} + a^{2}\right)}} - \frac{\log\left(b x^{2} + a\right)}{2 \, a^{2}} + \frac{\log\left(x^{2}\right)}{2 \, a^{2}}"," ",0,"1/2/(a*b*x^2 + a^2) - 1/2*log(b*x^2 + a)/a^2 + 1/2*log(x^2)/a^2","A",0
160,1,49,0,2.967966," ","integrate(1/x^2/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{3 \, b x^{2} + 2 \, a}{2 \, {\left(a^{2} b x^{3} + a^{3} x\right)}} - \frac{3 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{2}}"," ",0,"-1/2*(3*b*x^2 + 2*a)/(a^2*b*x^3 + a^3*x) - 3/2*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
161,1,52,0,1.365640," ","integrate(1/x^3/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{2 \, b x^{2} + a}{2 \, {\left(a^{2} b x^{4} + a^{3} x^{2}\right)}} + \frac{b \log\left(b x^{2} + a\right)}{a^{3}} - \frac{b \log\left(x^{2}\right)}{a^{3}}"," ",0,"-1/2*(2*b*x^2 + a)/(a^2*b*x^4 + a^3*x^2) + b*log(b*x^2 + a)/a^3 - b*log(x^2)/a^3","A",0
162,1,64,0,3.014274," ","integrate(1/x^4/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{15 \, b^{2} x^{4} + 10 \, a b x^{2} - 2 \, a^{2}}{6 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)}} + \frac{5 \, b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{3}}"," ",0,"1/6*(15*b^2*x^4 + 10*a*b*x^2 - 2*a^2)/(a^3*b*x^5 + a^4*x^3) + 5/2*b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
163,1,70,0,1.319706," ","integrate(1/x^5/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{6 \, b^{2} x^{4} + 3 \, a b x^{2} - a^{2}}{4 \, {\left(a^{3} b x^{6} + a^{4} x^{4}\right)}} - \frac{3 \, b^{2} \log\left(b x^{2} + a\right)}{2 \, a^{4}} + \frac{3 \, b^{2} \log\left(x^{2}\right)}{2 \, a^{4}}"," ",0,"1/4*(6*b^2*x^4 + 3*a*b*x^2 - a^2)/(a^3*b*x^6 + a^4*x^4) - 3/2*b^2*log(b*x^2 + a)/a^4 + 3/2*b^2*log(x^2)/a^4","A",0
164,1,75,0,2.914426," ","integrate(1/x^6/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{105 \, b^{3} x^{6} + 70 \, a b^{2} x^{4} - 14 \, a^{2} b x^{2} + 6 \, a^{3}}{30 \, {\left(a^{4} b x^{7} + a^{5} x^{5}\right)}} - \frac{7 \, b^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{4}}"," ",0,"-1/30*(105*b^3*x^6 + 70*a*b^2*x^4 - 14*a^2*b*x^2 + 6*a^3)/(a^4*b*x^7 + a^5*x^5) - 7/2*b^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^4)","A",0
165,1,79,0,1.320166," ","integrate(1/x^7/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{12 \, b^{3} x^{6} + 6 \, a b^{2} x^{4} - 2 \, a^{2} b x^{2} + a^{3}}{6 \, {\left(a^{4} b x^{8} + a^{5} x^{6}\right)}} + \frac{2 \, b^{3} \log\left(b x^{2} + a\right)}{a^{5}} - \frac{2 \, b^{3} \log\left(x^{2}\right)}{a^{5}}"," ",0,"-1/6*(12*b^3*x^6 + 6*a*b^2*x^4 - 2*a^2*b*x^2 + a^3)/(a^4*b*x^8 + a^5*x^6) + 2*b^3*log(b*x^2 + a)/a^5 - 2*b^3*log(x^2)/a^5","A",0
166,1,86,0,2.974345," ","integrate(1/x^8/(b*x^2+a)^2,x, algorithm=""maxima"")","\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}}{70 \, {\left(a^{5} b x^{9} + a^{6} x^{7}\right)}} + \frac{9 \, b^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{5}}"," ",0,"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)/(a^5*b*x^9 + a^6*x^7) + 9/2*b^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^5)","A",0
167,1,92,0,1.304511," ","integrate(1/x^9/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{60 \, b^{4} x^{8} + 30 \, a b^{3} x^{6} - 10 \, a^{2} b^{2} x^{4} + 5 \, a^{3} b x^{2} - 3 \, a^{4}}{24 \, {\left(a^{5} b x^{10} + a^{6} x^{8}\right)}} - \frac{5 \, b^{4} \log\left(b x^{2} + a\right)}{2 \, a^{6}} + \frac{5 \, b^{4} \log\left(x^{2}\right)}{2 \, a^{6}}"," ",0,"1/24*(60*b^4*x^8 + 30*a*b^3*x^6 - 10*a^2*b^2*x^4 + 5*a^3*b*x^2 - 3*a^4)/(a^5*b*x^10 + a^6*x^8) - 5/2*b^4*log(b*x^2 + a)/a^6 + 5/2*b^4*log(x^2)/a^6","A",0
168,1,111,0,1.362850," ","integrate(x^15/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{14 \, a^{6} b x^{2} + 13 \, a^{7}}{4 \, {\left(b^{10} x^{4} + 2 \, a b^{9} x^{2} + a^{2} b^{8}\right)}} - \frac{21 \, a^{5} \log\left(b x^{2} + a\right)}{2 \, b^{8}} + \frac{4 \, b^{4} x^{10} - 15 \, a b^{3} x^{8} + 40 \, a^{2} b^{2} x^{6} - 100 \, a^{3} b x^{4} + 300 \, a^{4} x^{2}}{40 \, b^{7}}"," ",0,"-1/4*(14*a^6*b*x^2 + 13*a^7)/(b^10*x^4 + 2*a*b^9*x^2 + a^2*b^8) - 21/2*a^5*log(b*x^2 + a)/b^8 + 1/40*(4*b^4*x^10 - 15*a*b^3*x^8 + 40*a^2*b^2*x^6 - 100*a^3*b*x^4 + 300*a^4*x^2)/b^7","A",0
169,1,99,0,1.292862," ","integrate(x^13/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{12 \, a^{5} b x^{2} + 11 \, a^{6}}{4 \, {\left(b^{9} x^{4} + 2 \, a b^{8} x^{2} + a^{2} b^{7}\right)}} + \frac{15 \, a^{4} \log\left(b x^{2} + a\right)}{2 \, b^{7}} + \frac{b^{3} x^{8} - 4 \, a b^{2} x^{6} + 12 \, a^{2} b x^{4} - 40 \, a^{3} x^{2}}{8 \, b^{6}}"," ",0,"1/4*(12*a^5*b*x^2 + 11*a^6)/(b^9*x^4 + 2*a*b^8*x^2 + a^2*b^7) + 15/2*a^4*log(b*x^2 + a)/b^7 + 1/8*(b^3*x^8 - 4*a*b^2*x^6 + 12*a^2*b*x^4 - 40*a^3*x^2)/b^6","A",0
170,1,89,0,1.344457," ","integrate(x^11/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{10 \, a^{4} b x^{2} + 9 \, a^{5}}{4 \, {\left(b^{8} x^{4} + 2 \, a b^{7} x^{2} + a^{2} b^{6}\right)}} - \frac{5 \, a^{3} \log\left(b x^{2} + a\right)}{b^{6}} + \frac{2 \, b^{2} x^{6} - 9 \, a b x^{4} + 36 \, a^{2} x^{2}}{12 \, b^{5}}"," ",0,"-1/4*(10*a^4*b*x^2 + 9*a^5)/(b^8*x^4 + 2*a*b^7*x^2 + a^2*b^6) - 5*a^3*log(b*x^2 + a)/b^6 + 1/12*(2*b^2*x^6 - 9*a*b*x^4 + 36*a^2*x^2)/b^5","A",0
171,1,77,0,1.339505," ","integrate(x^9/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{8 \, a^{3} b x^{2} + 7 \, a^{4}}{4 \, {\left(b^{7} x^{4} + 2 \, a b^{6} x^{2} + a^{2} b^{5}\right)}} + \frac{3 \, a^{2} \log\left(b x^{2} + a\right)}{b^{5}} + \frac{b x^{4} - 6 \, a x^{2}}{4 \, b^{4}}"," ",0,"1/4*(8*a^3*b*x^2 + 7*a^4)/(b^7*x^4 + 2*a*b^6*x^2 + a^2*b^5) + 3*a^2*log(b*x^2 + a)/b^5 + 1/4*(b*x^4 - 6*a*x^2)/b^4","A",0
172,1,66,0,1.278656," ","integrate(x^7/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{6 \, a^{2} b x^{2} + 5 \, a^{3}}{4 \, {\left(b^{6} x^{4} + 2 \, a b^{5} x^{2} + a^{2} b^{4}\right)}} + \frac{x^{2}}{2 \, b^{3}} - \frac{3 \, a \log\left(b x^{2} + a\right)}{2 \, b^{4}}"," ",0,"-1/4*(6*a^2*b*x^2 + 5*a^3)/(b^6*x^4 + 2*a*b^5*x^2 + a^2*b^4) + 1/2*x^2/b^3 - 3/2*a*log(b*x^2 + a)/b^4","A",0
173,1,55,0,1.298869," ","integrate(x^5/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{4 \, a b x^{2} + 3 \, a^{2}}{4 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}} + \frac{\log\left(b x^{2} + a\right)}{2 \, b^{3}}"," ",0,"1/4*(4*a*b*x^2 + 3*a^2)/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3) + 1/2*log(b*x^2 + a)/b^3","A",0
174,1,36,0,1.345757," ","integrate(x^3/(b*x^2+a)^3,x, algorithm=""maxima"")","-\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
175,1,14,0,1.325892," ","integrate(x/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(b x^{2} + a\right)}^{2} b}"," ",0,"-1/4/((b*x^2 + a)^2*b)","A",0
176,1,60,0,1.324972," ","integrate(1/x/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{2 \, b x^{2} + 3 \, a}{4 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)}} - \frac{\log\left(b x^{2} + a\right)}{2 \, a^{3}} + \frac{\log\left(x^{2}\right)}{2 \, a^{3}}"," ",0,"1/4*(2*b*x^2 + 3*a)/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) - 1/2*log(b*x^2 + a)/a^3 + 1/2*log(x^2)/a^3","A",0
177,1,77,0,1.339391," ","integrate(1/x^3/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{4} + 9 \, a b x^{2} + 2 \, a^{2}}{4 \, {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{4} + a^{5} x^{2}\right)}} + \frac{3 \, b \log\left(b x^{2} + a\right)}{2 \, a^{4}} - \frac{3 \, b \log\left(x^{2}\right)}{2 \, a^{4}}"," ",0,"-1/4*(6*b^2*x^4 + 9*a*b*x^2 + 2*a^2)/(a^3*b^2*x^6 + 2*a^4*b*x^4 + a^5*x^2) + 3/2*b*log(b*x^2 + a)/a^4 - 3/2*b*log(x^2)/a^4","A",0
178,1,92,0,1.423994," ","integrate(1/x^5/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{12 \, b^{3} x^{6} + 18 \, a b^{2} x^{4} + 4 \, a^{2} b x^{2} - a^{3}}{4 \, {\left(a^{4} b^{2} x^{8} + 2 \, a^{5} b x^{6} + a^{6} x^{4}\right)}} - \frac{3 \, b^{2} \log\left(b x^{2} + a\right)}{a^{5}} + \frac{3 \, b^{2} \log\left(x^{2}\right)}{a^{5}}"," ",0,"1/4*(12*b^3*x^6 + 18*a*b^2*x^4 + 4*a^2*b*x^2 - a^3)/(a^4*b^2*x^8 + 2*a^5*b*x^6 + a^6*x^4) - 3*b^2*log(b*x^2 + a)/a^5 + 3*b^2*log(x^2)/a^5","A",0
179,1,103,0,1.362496," ","integrate(1/x^7/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{60 \, b^{4} x^{8} + 90 \, a b^{3} x^{6} + 20 \, a^{2} b^{2} x^{4} - 5 \, a^{3} b x^{2} + 2 \, a^{4}}{12 \, {\left(a^{5} b^{2} x^{10} + 2 \, a^{6} b x^{8} + a^{7} x^{6}\right)}} + \frac{5 \, b^{3} \log\left(b x^{2} + a\right)}{a^{6}} - \frac{5 \, b^{3} \log\left(x^{2}\right)}{a^{6}}"," ",0,"-1/12*(60*b^4*x^8 + 90*a*b^3*x^6 + 20*a^2*b^2*x^4 - 5*a^3*b*x^2 + 2*a^4)/(a^5*b^2*x^10 + 2*a^6*b*x^8 + a^7*x^6) + 5*b^3*log(b*x^2 + a)/a^6 - 5*b^3*log(x^2)/a^6","A",0
180,1,114,0,1.337281," ","integrate(1/x^9/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{60 \, b^{5} x^{10} + 90 \, a b^{4} x^{8} + 20 \, a^{2} b^{3} x^{6} - 5 \, a^{3} b^{2} x^{4} + 2 \, a^{4} b x^{2} - a^{5}}{8 \, {\left(a^{6} b^{2} x^{12} + 2 \, a^{7} b x^{10} + a^{8} x^{8}\right)}} - \frac{15 \, b^{4} \log\left(b x^{2} + a\right)}{2 \, a^{7}} + \frac{15 \, b^{4} \log\left(x^{2}\right)}{2 \, a^{7}}"," ",0,"1/8*(60*b^5*x^10 + 90*a*b^4*x^8 + 20*a^2*b^3*x^6 - 5*a^3*b^2*x^4 + 2*a^4*b*x^2 - a^5)/(a^6*b^2*x^12 + 2*a^7*b*x^10 + a^8*x^8) - 15/2*b^4*log(b*x^2 + a)/a^7 + 15/2*b^4*log(x^2)/a^7","A",0
181,1,105,0,2.954433," ","integrate(x^12/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{21 \, a^{4} b x^{3} + 19 \, a^{5} x}{8 \, {\left(b^{8} x^{4} + 2 \, a b^{7} x^{2} + a^{2} b^{6}\right)}} + \frac{99 \, a^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{6}} + \frac{5 \, b^{3} x^{7} - 21 \, a b^{2} x^{5} + 70 \, a^{2} b x^{3} - 350 \, a^{3} x}{35 \, b^{6}}"," ",0,"-1/8*(21*a^4*b*x^3 + 19*a^5*x)/(b^8*x^4 + 2*a*b^7*x^2 + a^2*b^6) + 99/8*a^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^6) + 1/35*(5*b^3*x^7 - 21*a*b^2*x^5 + 70*a^2*b*x^3 - 350*a^3*x)/b^6","A",0
182,1,93,0,2.858255," ","integrate(x^10/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{17 \, a^{3} b x^{3} + 15 \, a^{4} x}{8 \, {\left(b^{7} x^{4} + 2 \, a b^{6} x^{2} + a^{2} b^{5}\right)}} - \frac{63 \, a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{5}} + \frac{b^{2} x^{5} - 5 \, a b x^{3} + 30 \, a^{2} x}{5 \, b^{5}}"," ",0,"1/8*(17*a^3*b*x^3 + 15*a^4*x)/(b^7*x^4 + 2*a*b^6*x^2 + a^2*b^5) - 63/8*a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^5) + 1/5*(b^2*x^5 - 5*a*b*x^3 + 30*a^2*x)/b^5","A",0
183,1,82,0,2.970494," ","integrate(x^8/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{13 \, a^{2} b x^{3} + 11 \, a^{3} x}{8 \, {\left(b^{6} x^{4} + 2 \, a b^{5} x^{2} + a^{2} b^{4}\right)}} + \frac{35 \, a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{4}} + \frac{b x^{3} - 9 \, a x}{3 \, b^{4}}"," ",0,"-1/8*(13*a^2*b*x^3 + 11*a^3*x)/(b^6*x^4 + 2*a*b^5*x^2 + a^2*b^4) + 35/8*a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^4) + 1/3*(b*x^3 - 9*a*x)/b^4","A",0
184,1,68,0,2.899879," ","integrate(x^6/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{9 \, a b x^{3} + 7 \, a^{2} x}{8 \, {\left(b^{5} x^{4} + 2 \, a b^{4} x^{2} + a^{2} b^{3}\right)}} - \frac{15 \, a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{3}} + \frac{x}{b^{3}}"," ",0,"1/8*(9*a*b*x^3 + 7*a^2*x)/(b^5*x^4 + 2*a*b^4*x^2 + a^2*b^3) - 15/8*a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^3) + x/b^3","A",0
185,1,59,0,2.995518," ","integrate(x^4/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{5 \, b x^{3} + 3 \, a x}{8 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)}} + \frac{3 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{2}}"," ",0,"-1/8*(5*b*x^3 + 3*a*x)/(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2) + 3/8*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
186,1,62,0,3.039316," ","integrate(x^2/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{b x^{3} - a x}{8 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)}} + \frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a b}"," ",0,"1/8*(b*x^3 - a*x)/(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b) + 1/8*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a*b)","A",0
187,1,58,0,3.025512," ","integrate(1/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, b x^{3} + 5 \, a x}{8 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)}} + \frac{3 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{2}}"," ",0,"1/8*(3*b*x^3 + 5*a*x)/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) + 3/8*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
188,1,71,0,2.980808," ","integrate(1/x^2/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{4} + 25 \, a b x^{2} + 8 \, a^{2}}{8 \, {\left(a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x\right)}} - \frac{15 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{3}}"," ",0,"-1/8*(15*b^2*x^4 + 25*a*b*x^2 + 8*a^2)/(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x) - 15/8*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
189,1,86,0,2.955848," ","integrate(1/x^4/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{105 \, b^{3} x^{6} + 175 \, a b^{2} x^{4} + 56 \, a^{2} b x^{2} - 8 \, a^{3}}{24 \, {\left(a^{4} b^{2} x^{7} + 2 \, a^{5} b x^{5} + a^{6} x^{3}\right)}} + \frac{35 \, b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{4}}"," ",0,"1/24*(105*b^3*x^6 + 175*a*b^2*x^4 + 56*a^2*b*x^2 - 8*a^3)/(a^4*b^2*x^7 + 2*a^5*b*x^5 + a^6*x^3) + 35/8*b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^4)","A",0
190,1,97,0,2.910816," ","integrate(1/x^6/(b*x^2+a)^3,x, algorithm=""maxima"")","-\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}}{40 \, {\left(a^{5} b^{2} x^{9} + 2 \, a^{6} b x^{7} + a^{7} x^{5}\right)}} - \frac{63 \, b^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{5}}"," ",0,"-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)/(a^5*b^2*x^9 + 2*a^6*b*x^7 + a^7*x^5) - 63/8*b^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^5)","A",0
191,1,108,0,3.024265," ","integrate(1/x^8/(b*x^2+a)^3,x, algorithm=""maxima"")","\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}}{280 \, {\left(a^{6} b^{2} x^{11} + 2 \, a^{7} b x^{9} + a^{8} x^{7}\right)}} + \frac{99 \, b^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{6}}"," ",0,"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)/(a^6*b^2*x^11 + 2*a^7*b*x^9 + a^8*x^7) + 99/8*b^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^6)","A",0
192,1,242,0,1.615244," ","integrate(x^25/(b*x^2+a)^10,x, algorithm=""maxima"")","-\frac{62370 \, a^{4} b^{8} x^{16} + 449064 \, a^{5} b^{7} x^{14} + 1435896 \, a^{6} b^{6} x^{12} + 2652804 \, a^{7} b^{5} x^{10} + 3089394 \, a^{8} b^{4} x^{8} + 2318316 \, a^{9} b^{3} x^{6} + 1093356 \, a^{10} b^{2} x^{4} + 296019 \, a^{11} b x^{2} + 35201 \, a^{12}}{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)}} - \frac{110 \, a^{3} \log\left(b x^{2} + a\right)}{b^{13}} + \frac{b^{2} x^{6} - 15 \, a b x^{4} + 165 \, a^{2} x^{2}}{6 \, b^{12}}"," ",0,"-1/252*(62370*a^4*b^8*x^16 + 449064*a^5*b^7*x^14 + 1435896*a^6*b^6*x^12 + 2652804*a^7*b^5*x^10 + 3089394*a^8*b^4*x^8 + 2318316*a^9*b^3*x^6 + 1093356*a^10*b^2*x^4 + 296019*a^11*b*x^2 + 35201*a^12)/(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) - 110*a^3*log(b*x^2 + a)/b^13 + 1/6*(b^2*x^6 - 15*a*b*x^4 + 165*a^2*x^2)/b^12","A",0
193,1,231,0,1.577747," ","integrate(x^23/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{83160 \, a^{3} b^{8} x^{16} + 582120 \, a^{4} b^{7} x^{14} + 1823976 \, a^{5} b^{6} x^{12} + 3318084 \, a^{6} b^{5} x^{10} + 3817044 \, a^{7} b^{4} x^{8} + 2835756 \, a^{8} b^{3} x^{6} + 1326204 \, a^{9} b^{2} x^{4} + 356499 \, a^{10} b x^{2} + 42131 \, a^{11}}{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)}} + \frac{55 \, a^{2} \log\left(b x^{2} + a\right)}{2 \, b^{12}} + \frac{b x^{4} - 20 \, a x^{2}}{4 \, b^{11}}"," ",0,"1/1008*(83160*a^3*b^8*x^16 + 582120*a^4*b^7*x^14 + 1823976*a^5*b^6*x^12 + 3318084*a^6*b^5*x^10 + 3817044*a^7*b^4*x^8 + 2835756*a^8*b^3*x^6 + 1326204*a^9*b^2*x^4 + 356499*a^10*b*x^2 + 42131*a^11)/(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) + 55/2*a^2*log(b*x^2 + a)/b^12 + 1/4*(b*x^4 - 20*a*x^2)/b^11","A",0
194,1,220,0,1.595093," ","integrate(x^21/(b*x^2+a)^10,x, algorithm=""maxima"")","-\frac{11340 \, a^{2} b^{8} x^{16} + 75600 \, a^{3} b^{7} x^{14} + 229320 \, a^{4} b^{6} x^{12} + 407484 \, a^{5} b^{5} x^{10} + 460404 \, a^{6} b^{4} x^{8} + 337176 \, a^{7} b^{3} x^{6} + 155844 \, a^{8} b^{2} x^{4} + 41481 \, a^{9} b x^{2} + 4861 \, a^{10}}{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)}} + \frac{x^{2}}{2 \, b^{10}} - \frac{5 \, a \log\left(b x^{2} + a\right)}{b^{11}}"," ",0,"-1/504*(11340*a^2*b^8*x^16 + 75600*a^3*b^7*x^14 + 229320*a^4*b^6*x^12 + 407484*a^5*b^5*x^10 + 460404*a^6*b^4*x^8 + 337176*a^7*b^3*x^6 + 155844*a^8*b^2*x^4 + 41481*a^9*b*x^2 + 4861*a^10)/(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) + 1/2*x^2/b^10 - 5*a*log(b*x^2 + a)/b^11","A",0
195,1,209,0,1.524747," ","integrate(x^19/(b*x^2+a)^10,x, algorithm=""maxima"")","\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}}{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)}} + \frac{\log\left(b x^{2} + a\right)}{2 \, b^{10}}"," ",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)/(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) + 1/2*log(b*x^2 + a)/b^10","A",0
196,1,190,0,1.496048," ","integrate(x^17/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
197,1,179,0,1.467616," ","integrate(x^15/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
198,1,168,0,1.457428," ","integrate(x^13/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
199,1,157,0,1.428915," ","integrate(x^11/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
200,1,146,0,1.444503," ","integrate(x^9/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
201,1,135,0,1.445957," ","integrate(x^7/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
202,1,124,0,1.505654," ","integrate(x^5/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
203,1,113,0,1.392159," ","integrate(x^3/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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
204,1,14,0,1.296734," ","integrate(x/(b*x^2+a)^10,x, algorithm=""maxima"")","-\frac{1}{18 \, {\left(b x^{2} + a\right)}^{9} b}"," ",0,"-1/18/((b*x^2 + a)^9*b)","A",0
205,1,214,0,1.648291," ","integrate(1/x/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{2520 \, b^{8} x^{16} + 21420 \, a b^{7} x^{14} + 80220 \, a^{2} b^{6} x^{12} + 173250 \, a^{3} b^{5} x^{10} + 236754 \, a^{4} b^{4} x^{8} + 210756 \, a^{5} b^{3} x^{6} + 120564 \, a^{6} b^{2} x^{4} + 41481 \, a^{7} b x^{2} + 7129 \, a^{8}}{5040 \, {\left(a^{9} b^{9} x^{18} + 9 \, a^{10} b^{8} x^{16} + 36 \, a^{11} b^{7} x^{14} + 84 \, a^{12} b^{6} x^{12} + 126 \, a^{13} b^{5} x^{10} + 126 \, a^{14} b^{4} x^{8} + 84 \, a^{15} b^{3} x^{6} + 36 \, a^{16} b^{2} x^{4} + 9 \, a^{17} b x^{2} + a^{18}\right)}} - \frac{\log\left(b x^{2} + a\right)}{2 \, a^{10}} + \frac{\log\left(x^{2}\right)}{2 \, a^{10}}"," ",0,"1/5040*(2520*b^8*x^16 + 21420*a*b^7*x^14 + 80220*a^2*b^6*x^12 + 173250*a^3*b^5*x^10 + 236754*a^4*b^4*x^8 + 210756*a^5*b^3*x^6 + 120564*a^6*b^2*x^4 + 41481*a^7*b*x^2 + 7129*a^8)/(a^9*b^9*x^18 + 9*a^10*b^8*x^16 + 36*a^11*b^7*x^14 + 84*a^12*b^6*x^12 + 126*a^13*b^5*x^10 + 126*a^14*b^4*x^8 + 84*a^15*b^3*x^6 + 36*a^16*b^2*x^4 + 9*a^17*b*x^2 + a^18) - 1/2*log(b*x^2 + a)/a^10 + 1/2*log(x^2)/a^10","A",0
206,1,231,0,1.669777," ","integrate(1/x^3/(b*x^2+a)^10,x, algorithm=""maxima"")","-\frac{2520 \, b^{9} x^{18} + 21420 \, a b^{8} x^{16} + 80220 \, a^{2} b^{7} x^{14} + 173250 \, a^{3} b^{6} x^{12} + 236754 \, a^{4} b^{5} x^{10} + 210756 \, a^{5} b^{4} x^{8} + 120564 \, a^{6} b^{3} x^{6} + 41481 \, a^{7} b^{2} x^{4} + 7129 \, a^{8} b x^{2} + 252 \, a^{9}}{504 \, {\left(a^{10} b^{9} x^{20} + 9 \, a^{11} b^{8} x^{18} + 36 \, a^{12} b^{7} x^{16} + 84 \, a^{13} b^{6} x^{14} + 126 \, a^{14} b^{5} x^{12} + 126 \, a^{15} b^{4} x^{10} + 84 \, a^{16} b^{3} x^{8} + 36 \, a^{17} b^{2} x^{6} + 9 \, a^{18} b x^{4} + a^{19} x^{2}\right)}} + \frac{5 \, b \log\left(b x^{2} + a\right)}{a^{11}} - \frac{5 \, b \log\left(x^{2}\right)}{a^{11}}"," ",0,"-1/504*(2520*b^9*x^18 + 21420*a*b^8*x^16 + 80220*a^2*b^7*x^14 + 173250*a^3*b^6*x^12 + 236754*a^4*b^5*x^10 + 210756*a^5*b^4*x^8 + 120564*a^6*b^3*x^6 + 41481*a^7*b^2*x^4 + 7129*a^8*b*x^2 + 252*a^9)/(a^10*b^9*x^20 + 9*a^11*b^8*x^18 + 36*a^12*b^7*x^16 + 84*a^13*b^6*x^14 + 126*a^14*b^5*x^12 + 126*a^15*b^4*x^10 + 84*a^16*b^3*x^8 + 36*a^17*b^2*x^6 + 9*a^18*b*x^4 + a^19*x^2) + 5*b*log(b*x^2 + a)/a^11 - 5*b*log(x^2)/a^11","A",0
207,1,246,0,1.707682," ","integrate(1/x^5/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{27720 \, b^{10} x^{20} + 235620 \, a b^{9} x^{18} + 882420 \, a^{2} b^{8} x^{16} + 1905750 \, a^{3} b^{7} x^{14} + 2604294 \, a^{4} b^{6} x^{12} + 2318316 \, a^{5} b^{5} x^{10} + 1326204 \, a^{6} b^{4} x^{8} + 456291 \, a^{7} b^{3} x^{6} + 78419 \, a^{8} b^{2} x^{4} + 2772 \, a^{9} b x^{2} - 252 \, a^{10}}{1008 \, {\left(a^{11} b^{9} x^{22} + 9 \, a^{12} b^{8} x^{20} + 36 \, a^{13} b^{7} x^{18} + 84 \, a^{14} b^{6} x^{16} + 126 \, a^{15} b^{5} x^{14} + 126 \, a^{16} b^{4} x^{12} + 84 \, a^{17} b^{3} x^{10} + 36 \, a^{18} b^{2} x^{8} + 9 \, a^{19} b x^{6} + a^{20} x^{4}\right)}} - \frac{55 \, b^{2} \log\left(b x^{2} + a\right)}{2 \, a^{12}} + \frac{55 \, b^{2} \log\left(x^{2}\right)}{2 \, a^{12}}"," ",0,"1/1008*(27720*b^10*x^20 + 235620*a*b^9*x^18 + 882420*a^2*b^8*x^16 + 1905750*a^3*b^7*x^14 + 2604294*a^4*b^6*x^12 + 2318316*a^5*b^5*x^10 + 1326204*a^6*b^4*x^8 + 456291*a^7*b^3*x^6 + 78419*a^8*b^2*x^4 + 2772*a^9*b*x^2 - 252*a^10)/(a^11*b^9*x^22 + 9*a^12*b^8*x^20 + 36*a^13*b^7*x^18 + 84*a^14*b^6*x^16 + 126*a^15*b^5*x^14 + 126*a^16*b^4*x^12 + 84*a^17*b^3*x^10 + 36*a^18*b^2*x^8 + 9*a^19*b*x^6 + a^20*x^4) - 55/2*b^2*log(b*x^2 + a)/a^12 + 55/2*b^2*log(x^2)/a^12","A",0
208,1,257,0,1.707150," ","integrate(1/x^7/(b*x^2+a)^10,x, algorithm=""maxima"")","-\frac{27720 \, b^{11} x^{22} + 235620 \, a b^{10} x^{20} + 882420 \, a^{2} b^{9} x^{18} + 1905750 \, a^{3} b^{8} x^{16} + 2604294 \, a^{4} b^{7} x^{14} + 2318316 \, a^{5} b^{6} x^{12} + 1326204 \, a^{6} b^{5} x^{10} + 456291 \, a^{7} b^{4} x^{8} + 78419 \, a^{8} b^{3} x^{6} + 2772 \, a^{9} b^{2} x^{4} - 252 \, a^{10} b x^{2} + 42 \, a^{11}}{252 \, {\left(a^{12} b^{9} x^{24} + 9 \, a^{13} b^{8} x^{22} + 36 \, a^{14} b^{7} x^{20} + 84 \, a^{15} b^{6} x^{18} + 126 \, a^{16} b^{5} x^{16} + 126 \, a^{17} b^{4} x^{14} + 84 \, a^{18} b^{3} x^{12} + 36 \, a^{19} b^{2} x^{10} + 9 \, a^{20} b x^{8} + a^{21} x^{6}\right)}} + \frac{110 \, b^{3} \log\left(b x^{2} + a\right)}{a^{13}} - \frac{110 \, b^{3} \log\left(x^{2}\right)}{a^{13}}"," ",0,"-1/252*(27720*b^11*x^22 + 235620*a*b^10*x^20 + 882420*a^2*b^9*x^18 + 1905750*a^3*b^8*x^16 + 2604294*a^4*b^7*x^14 + 2318316*a^5*b^6*x^12 + 1326204*a^6*b^5*x^10 + 456291*a^7*b^4*x^8 + 78419*a^8*b^3*x^6 + 2772*a^9*b^2*x^4 - 252*a^10*b*x^2 + 42*a^11)/(a^12*b^9*x^24 + 9*a^13*b^8*x^22 + 36*a^14*b^7*x^20 + 84*a^15*b^6*x^18 + 126*a^16*b^5*x^16 + 126*a^17*b^4*x^14 + 84*a^18*b^3*x^12 + 36*a^19*b^2*x^10 + 9*a^20*b*x^8 + a^21*x^6) + 110*b^3*log(b*x^2 + a)/a^13 - 110*b^3*log(x^2)/a^13","A",0
209,1,248,0,3.391068," ","integrate(x^24/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{314167095 \, a^{3} b^{8} x^{17} + 2236176690 \, a^{4} b^{7} x^{15} + 7101970722 \, a^{5} b^{6} x^{13} + 13066540938 \, a^{6} b^{5} x^{11} + 15178104832 \, a^{7} b^{4} x^{9} + 11372226678 \, a^{8} b^{3} x^{7} + 5358651102 \, a^{9} b^{2} x^{5} + 1450223310 \, a^{10} b x^{3} + 172437705 \, a^{11} x}{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)}} - \frac{7436429 \, a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{12}} + \frac{3 \, b^{2} x^{5} - 50 \, a b x^{3} + 825 \, a^{2} x}{15 \, b^{12}}"," ",0,"1/2949120*(314167095*a^3*b^8*x^17 + 2236176690*a^4*b^7*x^15 + 7101970722*a^5*b^6*x^13 + 13066540938*a^6*b^5*x^11 + 15178104832*a^7*b^4*x^9 + 11372226678*a^8*b^3*x^7 + 5358651102*a^9*b^2*x^5 + 1450223310*a^10*b*x^3 + 172437705*a^11*x)/(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) - 7436429/65536*a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^12) + 1/15*(3*b^2*x^5 - 50*a*b*x^3 + 825*a^2*x)/b^12","A",0
210,1,236,0,3.247304," ","integrate(x^22/(b*x^2+a)^10,x, algorithm=""maxima"")","-\frac{17890785 \, a^{2} b^{8} x^{17} + 122613150 \, a^{3} b^{7} x^{15} + 379867950 \, a^{4} b^{6} x^{13} + 686588166 \, a^{5} b^{5} x^{11} + 786857984 \, a^{6} b^{4} x^{9} + 583302906 \, a^{7} b^{3} x^{7} + 272477394 \, a^{8} b^{2} x^{5} + 73208418 \, a^{9} b x^{3} + 8651295 \, a^{10} x}{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)}} + \frac{1616615 \, a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{11}} + \frac{b x^{3} - 30 \, a x}{3 \, b^{11}}"," ",0,"-1/589824*(17890785*a^2*b^8*x^17 + 122613150*a^3*b^7*x^15 + 379867950*a^4*b^6*x^13 + 686588166*a^5*b^5*x^11 + 786857984*a^6*b^4*x^9 + 583302906*a^7*b^3*x^7 + 272477394*a^8*b^2*x^5 + 73208418*a^9*b*x^3 + 8651295*a^10*x)/(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) + 1616615/65536*a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^11) + 1/3*(b*x^3 - 30*a*x)/b^11","A",0
211,1,222,0,3.173240," ","integrate(x^20/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{26738145 \, a b^{8} x^{17} + 169799070 \, a^{2} b^{7} x^{15} + 503730990 \, a^{3} b^{6} x^{13} + 884769030 \, a^{4} b^{5} x^{11} + 993296384 \, a^{5} b^{4} x^{9} + 724860666 \, a^{6} b^{3} x^{7} + 334408914 \, a^{7} b^{2} x^{5} + 88937058 \, a^{8} b x^{3} + 10420767 \, a^{9} x}{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)}} - \frac{230945 \, a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{10}} + \frac{x}{b^{10}}"," ",0,"1/4128768*(26738145*a*b^8*x^17 + 169799070*a^2*b^7*x^15 + 503730990*a^3*b^6*x^13 + 884769030*a^4*b^5*x^11 + 993296384*a^5*b^4*x^9 + 724860666*a^6*b^3*x^7 + 334408914*a^7*b^2*x^5 + 88937058*a^8*b*x^3 + 10420767*a^9*x)/(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) - 230945/65536*a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^10) + x/b^10","A",0
212,1,213,0,3.165163," ","integrate(x^18/(b*x^2+a)^10,x, algorithm=""maxima"")","-\frac{3363003 \, b^{8} x^{17} + 16759722 \, a b^{7} x^{15} + 44765658 \, a^{2} b^{6} x^{13} + 73947042 \, a^{3} b^{5} x^{11} + 79659008 \, a^{4} b^{4} x^{9} + 56404062 \, a^{5} b^{3} x^{7} + 25423398 \, a^{6} b^{2} x^{5} + 6636630 \, a^{7} b x^{3} + 765765 \, a^{8} x}{4128768 \, {\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)}} + \frac{12155 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{9}}"," ",0,"-1/4128768*(3363003*b^8*x^17 + 16759722*a*b^7*x^15 + 44765658*a^2*b^6*x^13 + 73947042*a^3*b^5*x^11 + 79659008*a^4*b^4*x^9 + 56404062*a^5*b^3*x^7 + 25423398*a^6*b^2*x^5 + 6636630*a^7*b*x^3 + 765765*a^8*x)/(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) + 12155/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^9)","A",0
213,1,219,0,3.156003," ","integrate(x^16/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{45045 \, b^{8} x^{17} - 985866 \, a b^{7} x^{15} - 2633274 \, a^{2} b^{6} x^{13} - 4349826 \, a^{3} b^{5} x^{11} - 4685824 \, a^{4} b^{4} x^{9} - 3317886 \, a^{5} b^{3} x^{7} - 1495494 \, a^{6} b^{2} x^{5} - 390390 \, a^{7} b x^{3} - 45045 \, a^{8} x}{4128768 \, {\left(a b^{17} x^{18} + 9 \, a^{2} b^{16} x^{16} + 36 \, a^{3} b^{15} x^{14} + 84 \, a^{4} b^{14} x^{12} + 126 \, a^{5} b^{13} x^{10} + 126 \, a^{6} b^{12} x^{8} + 84 \, a^{7} b^{11} x^{6} + 36 \, a^{8} b^{10} x^{4} + 9 \, a^{9} b^{9} x^{2} + a^{10} b^{8}\right)}} + \frac{715 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a b^{8}}"," ",0,"1/4128768*(45045*b^8*x^17 - 985866*a*b^7*x^15 - 2633274*a^2*b^6*x^13 - 4349826*a^3*b^5*x^11 - 4685824*a^4*b^4*x^9 - 3317886*a^5*b^3*x^7 - 1495494*a^6*b^2*x^5 - 390390*a^7*b*x^3 - 45045*a^8*x)/(a*b^17*x^18 + 9*a^2*b^16*x^16 + 36*a^3*b^15*x^14 + 84*a^4*b^14*x^12 + 126*a^5*b^13*x^10 + 126*a^6*b^12*x^8 + 84*a^7*b^11*x^6 + 36*a^8*b^10*x^4 + 9*a^9*b^9*x^2 + a^10*b^8) + 715/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a*b^8)","A",0
214,1,221,0,3.155175," ","integrate(x^14/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{45045 \, b^{8} x^{17} + 390390 \, a b^{7} x^{15} - 2633274 \, a^{2} b^{6} x^{13} - 4349826 \, a^{3} b^{5} x^{11} - 4685824 \, a^{4} b^{4} x^{9} - 3317886 \, a^{5} b^{3} x^{7} - 1495494 \, a^{6} b^{2} x^{5} - 390390 \, a^{7} b x^{3} - 45045 \, a^{8} x}{20643840 \, {\left(a^{2} b^{16} x^{18} + 9 \, a^{3} b^{15} x^{16} + 36 \, a^{4} b^{14} x^{14} + 84 \, a^{5} b^{13} x^{12} + 126 \, a^{6} b^{12} x^{10} + 126 \, a^{7} b^{11} x^{8} + 84 \, a^{8} b^{10} x^{6} + 36 \, a^{9} b^{9} x^{4} + 9 \, a^{10} b^{8} x^{2} + a^{11} b^{7}\right)}} + \frac{143 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{2} b^{7}}"," ",0,"1/20643840*(45045*b^8*x^17 + 390390*a*b^7*x^15 - 2633274*a^2*b^6*x^13 - 4349826*a^3*b^5*x^11 - 4685824*a^4*b^4*x^9 - 3317886*a^5*b^3*x^7 - 1495494*a^6*b^2*x^5 - 390390*a^7*b*x^3 - 45045*a^8*x)/(a^2*b^16*x^18 + 9*a^3*b^15*x^16 + 36*a^4*b^14*x^14 + 84*a^5*b^13*x^12 + 126*a^6*b^12*x^10 + 126*a^7*b^11*x^8 + 84*a^8*b^10*x^6 + 36*a^9*b^9*x^4 + 9*a^10*b^8*x^2 + a^11*b^7) + 143/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2*b^7)","A",0
215,1,221,0,3.090083," ","integrate(x^12/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{3465 \, b^{8} x^{17} + 30030 \, a b^{7} x^{15} + 115038 \, a^{2} b^{6} x^{13} - 334602 \, a^{3} b^{5} x^{11} - 360448 \, a^{4} b^{4} x^{9} - 255222 \, a^{5} b^{3} x^{7} - 115038 \, a^{6} b^{2} x^{5} - 30030 \, a^{7} b x^{3} - 3465 \, a^{8} x}{4128768 \, {\left(a^{3} b^{15} x^{18} + 9 \, a^{4} b^{14} x^{16} + 36 \, a^{5} b^{13} x^{14} + 84 \, a^{6} b^{12} x^{12} + 126 \, a^{7} b^{11} x^{10} + 126 \, a^{8} b^{10} x^{8} + 84 \, a^{9} b^{9} x^{6} + 36 \, a^{10} b^{8} x^{4} + 9 \, a^{11} b^{7} x^{2} + a^{12} b^{6}\right)}} + \frac{55 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{3} b^{6}}"," ",0,"1/4128768*(3465*b^8*x^17 + 30030*a*b^7*x^15 + 115038*a^2*b^6*x^13 - 334602*a^3*b^5*x^11 - 360448*a^4*b^4*x^9 - 255222*a^5*b^3*x^7 - 115038*a^6*b^2*x^5 - 30030*a^7*b*x^3 - 3465*a^8*x)/(a^3*b^15*x^18 + 9*a^4*b^14*x^16 + 36*a^5*b^13*x^14 + 84*a^6*b^12*x^12 + 126*a^7*b^11*x^10 + 126*a^8*b^10*x^8 + 84*a^9*b^9*x^6 + 36*a^10*b^8*x^4 + 9*a^11*b^7*x^2 + a^12*b^6) + 55/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3*b^6)","A",0
216,1,221,0,3.075041," ","integrate(x^10/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{315 \, b^{8} x^{17} + 2730 \, a b^{7} x^{15} + 10458 \, a^{2} b^{6} x^{13} + 23202 \, a^{3} b^{5} x^{11} - 32768 \, a^{4} b^{4} x^{9} - 23202 \, a^{5} b^{3} x^{7} - 10458 \, a^{6} b^{2} x^{5} - 2730 \, a^{7} b x^{3} - 315 \, a^{8} x}{589824 \, {\left(a^{4} b^{14} x^{18} + 9 \, a^{5} b^{13} x^{16} + 36 \, a^{6} b^{12} x^{14} + 84 \, a^{7} b^{11} x^{12} + 126 \, a^{8} b^{10} x^{10} + 126 \, a^{9} b^{9} x^{8} + 84 \, a^{10} b^{8} x^{6} + 36 \, a^{11} b^{7} x^{4} + 9 \, a^{12} b^{6} x^{2} + a^{13} b^{5}\right)}} + \frac{35 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{4} b^{5}}"," ",0,"1/589824*(315*b^8*x^17 + 2730*a*b^7*x^15 + 10458*a^2*b^6*x^13 + 23202*a^3*b^5*x^11 - 32768*a^4*b^4*x^9 - 23202*a^5*b^3*x^7 - 10458*a^6*b^2*x^5 - 2730*a^7*b*x^3 - 315*a^8*x)/(a^4*b^14*x^18 + 9*a^5*b^13*x^16 + 36*a^6*b^12*x^14 + 84*a^7*b^11*x^12 + 126*a^8*b^10*x^10 + 126*a^9*b^9*x^8 + 84*a^10*b^8*x^6 + 36*a^11*b^7*x^4 + 9*a^12*b^6*x^2 + a^13*b^5) + 35/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^4*b^5)","A",0
217,1,221,0,3.078210," ","integrate(x^8/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{315 \, b^{8} x^{17} + 2730 \, a b^{7} x^{15} + 10458 \, a^{2} b^{6} x^{13} + 23202 \, a^{3} b^{5} x^{11} + 32768 \, a^{4} b^{4} x^{9} - 23202 \, a^{5} b^{3} x^{7} - 10458 \, a^{6} b^{2} x^{5} - 2730 \, a^{7} b x^{3} - 315 \, a^{8} x}{589824 \, {\left(a^{5} b^{13} x^{18} + 9 \, a^{6} b^{12} x^{16} + 36 \, a^{7} b^{11} x^{14} + 84 \, a^{8} b^{10} x^{12} + 126 \, a^{9} b^{9} x^{10} + 126 \, a^{10} b^{8} x^{8} + 84 \, a^{11} b^{7} x^{6} + 36 \, a^{12} b^{6} x^{4} + 9 \, a^{13} b^{5} x^{2} + a^{14} b^{4}\right)}} + \frac{35 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{5} b^{4}}"," ",0,"1/589824*(315*b^8*x^17 + 2730*a*b^7*x^15 + 10458*a^2*b^6*x^13 + 23202*a^3*b^5*x^11 + 32768*a^4*b^4*x^9 - 23202*a^5*b^3*x^7 - 10458*a^6*b^2*x^5 - 2730*a^7*b*x^3 - 315*a^8*x)/(a^5*b^13*x^18 + 9*a^6*b^12*x^16 + 36*a^7*b^11*x^14 + 84*a^8*b^10*x^12 + 126*a^9*b^9*x^10 + 126*a^10*b^8*x^8 + 84*a^11*b^7*x^6 + 36*a^12*b^6*x^4 + 9*a^13*b^5*x^2 + a^14*b^4) + 35/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^5*b^4)","A",0
218,1,221,0,3.141214," ","integrate(x^6/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{3465 \, b^{8} x^{17} + 30030 \, a b^{7} x^{15} + 115038 \, a^{2} b^{6} x^{13} + 255222 \, a^{3} b^{5} x^{11} + 360448 \, a^{4} b^{4} x^{9} + 334602 \, a^{5} b^{3} x^{7} - 115038 \, a^{6} b^{2} x^{5} - 30030 \, a^{7} b x^{3} - 3465 \, a^{8} x}{4128768 \, {\left(a^{6} b^{12} x^{18} + 9 \, a^{7} b^{11} x^{16} + 36 \, a^{8} b^{10} x^{14} + 84 \, a^{9} b^{9} x^{12} + 126 \, a^{10} b^{8} x^{10} + 126 \, a^{11} b^{7} x^{8} + 84 \, a^{12} b^{6} x^{6} + 36 \, a^{13} b^{5} x^{4} + 9 \, a^{14} b^{4} x^{2} + a^{15} b^{3}\right)}} + \frac{55 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{6} b^{3}}"," ",0,"1/4128768*(3465*b^8*x^17 + 30030*a*b^7*x^15 + 115038*a^2*b^6*x^13 + 255222*a^3*b^5*x^11 + 360448*a^4*b^4*x^9 + 334602*a^5*b^3*x^7 - 115038*a^6*b^2*x^5 - 30030*a^7*b*x^3 - 3465*a^8*x)/(a^6*b^12*x^18 + 9*a^7*b^11*x^16 + 36*a^8*b^10*x^14 + 84*a^9*b^9*x^12 + 126*a^10*b^8*x^10 + 126*a^11*b^7*x^8 + 84*a^12*b^6*x^6 + 36*a^13*b^5*x^4 + 9*a^14*b^4*x^2 + a^15*b^3) + 55/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^6*b^3)","A",0
219,1,221,0,3.186737," ","integrate(x^4/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{45045 \, b^{8} x^{17} + 390390 \, a b^{7} x^{15} + 1495494 \, a^{2} b^{6} x^{13} + 3317886 \, a^{3} b^{5} x^{11} + 4685824 \, a^{4} b^{4} x^{9} + 4349826 \, a^{5} b^{3} x^{7} + 2633274 \, a^{6} b^{2} x^{5} - 390390 \, a^{7} b x^{3} - 45045 \, a^{8} x}{20643840 \, {\left(a^{7} b^{11} x^{18} + 9 \, a^{8} b^{10} x^{16} + 36 \, a^{9} b^{9} x^{14} + 84 \, a^{10} b^{8} x^{12} + 126 \, a^{11} b^{7} x^{10} + 126 \, a^{12} b^{6} x^{8} + 84 \, a^{13} b^{5} x^{6} + 36 \, a^{14} b^{4} x^{4} + 9 \, a^{15} b^{3} x^{2} + a^{16} b^{2}\right)}} + \frac{143 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{7} b^{2}}"," ",0,"1/20643840*(45045*b^8*x^17 + 390390*a*b^7*x^15 + 1495494*a^2*b^6*x^13 + 3317886*a^3*b^5*x^11 + 4685824*a^4*b^4*x^9 + 4349826*a^5*b^3*x^7 + 2633274*a^6*b^2*x^5 - 390390*a^7*b*x^3 - 45045*a^8*x)/(a^7*b^11*x^18 + 9*a^8*b^10*x^16 + 36*a^9*b^9*x^14 + 84*a^10*b^8*x^12 + 126*a^11*b^7*x^10 + 126*a^12*b^6*x^8 + 84*a^13*b^5*x^6 + 36*a^14*b^4*x^4 + 9*a^15*b^3*x^2 + a^16*b^2) + 143/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^7*b^2)","A",0
220,1,219,0,3.094519," ","integrate(x^2/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{45045 \, b^{8} x^{17} + 390390 \, a b^{7} x^{15} + 1495494 \, a^{2} b^{6} x^{13} + 3317886 \, a^{3} b^{5} x^{11} + 4685824 \, a^{4} b^{4} x^{9} + 4349826 \, a^{5} b^{3} x^{7} + 2633274 \, a^{6} b^{2} x^{5} + 985866 \, a^{7} b x^{3} - 45045 \, a^{8} x}{4128768 \, {\left(a^{8} b^{10} x^{18} + 9 \, a^{9} b^{9} x^{16} + 36 \, a^{10} b^{8} x^{14} + 84 \, a^{11} b^{7} x^{12} + 126 \, a^{12} b^{6} x^{10} + 126 \, a^{13} b^{5} x^{8} + 84 \, a^{14} b^{4} x^{6} + 36 \, a^{15} b^{3} x^{4} + 9 \, a^{16} b^{2} x^{2} + a^{17} b\right)}} + \frac{715 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{8} b}"," ",0,"1/4128768*(45045*b^8*x^17 + 390390*a*b^7*x^15 + 1495494*a^2*b^6*x^13 + 3317886*a^3*b^5*x^11 + 4685824*a^4*b^4*x^9 + 4349826*a^5*b^3*x^7 + 2633274*a^6*b^2*x^5 + 985866*a^7*b*x^3 - 45045*a^8*x)/(a^8*b^10*x^18 + 9*a^9*b^9*x^16 + 36*a^10*b^8*x^14 + 84*a^11*b^7*x^12 + 126*a^12*b^6*x^10 + 126*a^13*b^5*x^8 + 84*a^14*b^4*x^6 + 36*a^15*b^3*x^4 + 9*a^16*b^2*x^2 + a^17*b) + 715/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^8*b)","A",0
221,1,212,0,3.110446," ","integrate(1/(b*x^2+a)^10,x, algorithm=""maxima"")","\frac{765765 \, b^{8} x^{17} + 6636630 \, a b^{7} x^{15} + 25423398 \, a^{2} b^{6} x^{13} + 56404062 \, a^{3} b^{5} x^{11} + 79659008 \, a^{4} b^{4} x^{9} + 73947042 \, a^{5} b^{3} x^{7} + 44765658 \, a^{6} b^{2} x^{5} + 16759722 \, a^{7} b x^{3} + 3363003 \, a^{8} x}{4128768 \, {\left(a^{9} b^{9} x^{18} + 9 \, a^{10} b^{8} x^{16} + 36 \, a^{11} b^{7} x^{14} + 84 \, a^{12} b^{6} x^{12} + 126 \, a^{13} b^{5} x^{10} + 126 \, a^{14} b^{4} x^{8} + 84 \, a^{15} b^{3} x^{6} + 36 \, a^{16} b^{2} x^{4} + 9 \, a^{17} b x^{2} + a^{18}\right)}} + \frac{12155 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{9}}"," ",0,"1/4128768*(765765*b^8*x^17 + 6636630*a*b^7*x^15 + 25423398*a^2*b^6*x^13 + 56404062*a^3*b^5*x^11 + 79659008*a^4*b^4*x^9 + 73947042*a^5*b^3*x^7 + 44765658*a^6*b^2*x^5 + 16759722*a^7*b*x^3 + 3363003*a^8*x)/(a^9*b^9*x^18 + 9*a^10*b^8*x^16 + 36*a^11*b^7*x^14 + 84*a^12*b^6*x^12 + 126*a^13*b^5*x^10 + 126*a^14*b^4*x^8 + 84*a^15*b^3*x^6 + 36*a^16*b^2*x^4 + 9*a^17*b*x^2 + a^18) + 12155/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^9)","A",0
222,1,225,0,3.130682," ","integrate(1/x^2/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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}}{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)}} - \frac{230945 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{10}}"," ",0,"-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)/(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) - 230945/65536*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^10)","A",0
223,1,240,0,3.296793," ","integrate(1/x^4/(b*x^2+a)^10,x, algorithm=""maxima"")","\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}}{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)}} + \frac{1616615 \, b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{11}}"," ",0,"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)/(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) + 1616615/65536*b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^11)","A",0
224,1,251,0,3.350786," ","integrate(1/x^6/(b*x^2+a)^10,x, algorithm=""maxima"")","-\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}}{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)}} - \frac{7436429 \, b^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{12}}"," ",0,"-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)/(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) - 7436429/65536*b^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^12)","A",0
225,1,25,0,1.356043," ","integrate(x^3/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{x^{2}}{2 \, b} - \frac{a \log\left(b x^{2} - a\right)}{2 \, b^{2}}"," ",0,"-1/2*x^2/b - 1/2*a*log(b*x^2 - a)/b^2","A",0
226,1,42,0,2.969160," ","integrate(x^2/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{a \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{2 \, \sqrt{a b} b} - \frac{x}{b}"," ",0,"-1/2*a*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*b) - x/b","A",0
227,1,15,0,1.293381," ","integrate(x/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{2} - a\right)}{2 \, b}"," ",0,"-1/2*log(b*x^2 - a)/b","A",0
228,1,31,0,2.996369," ","integrate(1/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{\log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{2 \, \sqrt{a b}}"," ",0,"-1/2*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/sqrt(a*b)","A",0
229,1,25,0,1.324239," ","integrate(1/x/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{2} - a\right)}{2 \, a} + \frac{\log\left(x^{2}\right)}{2 \, a}"," ",0,"-1/2*log(b*x^2 - a)/a + 1/2*log(x^2)/a","A",0
230,1,44,0,2.887762," ","integrate(1/x^2/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{b \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{2 \, \sqrt{a b} a} - \frac{1}{a x}"," ",0,"-1/2*b*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a) - 1/(a*x)","A",0
231,1,35,0,1.388009," ","integrate(1/x^3/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{b \log\left(b x^{2} - a\right)}{2 \, a^{2}} + \frac{b \log\left(x^{2}\right)}{2 \, a^{2}} - \frac{1}{2 \, a x^{2}}"," ",0,"-1/2*b*log(b*x^2 - a)/a^2 + 1/2*b*log(x^2)/a^2 - 1/2/(a*x^2)","A",0
232,1,35,0,1.347662," ","integrate(x^3/(-b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{a}{2 \, {\left(b^{3} x^{2} - a b^{2}\right)}} + \frac{\log\left(b x^{2} - a\right)}{2 \, b^{2}}"," ",0,"-1/2*a/(b^3*x^2 - a*b^2) + 1/2*log(b*x^2 - a)/b^2","A",0
233,1,52,0,2.997472," ","integrate(x^2/(-b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(b^{2} x^{2} - a b\right)}} + \frac{\log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{4 \, \sqrt{a b} b}"," ",0,"-1/2*x/(b^2*x^2 - a*b) + 1/4*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*b)","A",0
234,1,16,0,1.377220," ","integrate(x/(-b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b x^{2} - a\right)} b}"," ",0,"-1/2/((b*x^2 - a)*b)","A",0
235,1,52,0,2.957854," ","integrate(1/(-b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(a b x^{2} - a^{2}\right)}} - \frac{\log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{4 \, \sqrt{a b} a}"," ",0,"-1/2*x/(a*b*x^2 - a^2) - 1/4*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a)","A",0
236,1,41,0,1.364536," ","integrate(1/x/(-b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a b x^{2} - a^{2}\right)}} - \frac{\log\left(b x^{2} - a\right)}{2 \, a^{2}} + \frac{\log\left(x^{2}\right)}{2 \, a^{2}}"," ",0,"-1/2/(a*b*x^2 - a^2) - 1/2*log(b*x^2 - a)/a^2 + 1/2*log(x^2)/a^2","A",0
237,1,65,0,2.976716," ","integrate(1/x^2/(-b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{3 \, b x^{2} - 2 \, a}{2 \, {\left(a^{2} b x^{3} - a^{3} x\right)}} - \frac{3 \, b \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{2}}"," ",0,"-1/2*(3*b*x^2 - 2*a)/(a^2*b*x^3 - a^3*x) - 3/4*b*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a^2)","A",0
238,1,57,0,1.309539," ","integrate(1/x^3/(-b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{2 \, b x^{2} - a}{2 \, {\left(a^{2} b x^{4} - a^{3} x^{2}\right)}} - \frac{b \log\left(b x^{2} - a\right)}{a^{3}} + \frac{b \log\left(x^{2}\right)}{a^{3}}"," ",0,"-1/2*(2*b*x^2 - a)/(a^2*b*x^4 - a^3*x^2) - b*log(b*x^2 - a)/a^3 + b*log(x^2)/a^3","A",0
239,1,38,0,1.314984," ","integrate(x^3/(-b*x^2+a)^3,x, algorithm=""maxima"")","\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
240,1,76,0,2.893893," ","integrate(x^2/(-b*x^2+a)^3,x, algorithm=""maxima"")","\frac{b x^{3} + a x}{8 \, {\left(a b^{3} x^{4} - 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)}} + \frac{\log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{16 \, \sqrt{a b} a b}"," ",0,"1/8*(b*x^3 + a*x)/(a*b^3*x^4 - 2*a^2*b^2*x^2 + a^3*b) + 1/16*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a*b)","A",0
241,1,16,0,1.340985," ","integrate(x/(-b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{4 \, {\left(b x^{2} - a\right)}^{2} b}"," ",0,"1/4/((b*x^2 - a)^2*b)","A",0
242,1,73,0,2.993249," ","integrate(1/(-b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{3 \, b x^{3} - 5 \, a x}{8 \, {\left(a^{2} b^{2} x^{4} - 2 \, a^{3} b x^{2} + a^{4}\right)}} - \frac{3 \, \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{16 \, \sqrt{a b} a^{2}}"," ",0,"-1/8*(3*b*x^3 - 5*a*x)/(a^2*b^2*x^4 - 2*a^3*b*x^2 + a^4) - 3/16*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a^2)","A",0
243,1,62,0,1.366211," ","integrate(1/x/(-b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{2 \, b x^{2} - 3 \, a}{4 \, {\left(a^{2} b^{2} x^{4} - 2 \, a^{3} b x^{2} + a^{4}\right)}} - \frac{\log\left(b x^{2} - a\right)}{2 \, a^{3}} + \frac{\log\left(x^{2}\right)}{2 \, a^{3}}"," ",0,"-1/4*(2*b*x^2 - 3*a)/(a^2*b^2*x^4 - 2*a^3*b*x^2 + a^4) - 1/2*log(b*x^2 - a)/a^3 + 1/2*log(x^2)/a^3","A",0
244,1,86,0,2.906361," ","integrate(1/x^2/(-b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{4} - 25 \, a b x^{2} + 8 \, a^{2}}{8 \, {\left(a^{3} b^{2} x^{5} - 2 \, a^{4} b x^{3} + a^{5} x\right)}} - \frac{15 \, b \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{16 \, \sqrt{a b} a^{3}}"," ",0,"-1/8*(15*b^2*x^4 - 25*a*b*x^2 + 8*a^2)/(a^3*b^2*x^5 - 2*a^4*b*x^3 + a^5*x) - 15/16*b*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a^3)","A",0
245,1,79,0,1.305533," ","integrate(1/x^3/(-b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{4} - 9 \, a b x^{2} + 2 \, a^{2}}{4 \, {\left(a^{3} b^{2} x^{6} - 2 \, a^{4} b x^{4} + a^{5} x^{2}\right)}} - \frac{3 \, b \log\left(b x^{2} - a\right)}{2 \, a^{4}} + \frac{3 \, b \log\left(x^{2}\right)}{2 \, a^{4}}"," ",0,"-1/4*(6*b^2*x^4 - 9*a*b*x^2 + 2*a^2)/(a^3*b^2*x^6 - 2*a^4*b*x^4 + a^5*x^2) - 3/2*b*log(b*x^2 - a)/a^4 + 3/2*b*log(x^2)/a^4","A",0
246,1,60,0,1.361445," ","integrate(x^3/(-b*x^2+a)^5,x, algorithm=""maxima"")","\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
247,1,124,0,2.982465," ","integrate(x^2/(-b*x^2+a)^5,x, algorithm=""maxima"")","\frac{15 \, b^{3} x^{7} - 55 \, a b^{2} x^{5} + 73 \, a^{2} b x^{3} + 15 \, a^{3} x}{384 \, {\left(a^{3} b^{5} x^{8} - 4 \, a^{4} b^{4} x^{6} + 6 \, a^{5} b^{3} x^{4} - 4 \, a^{6} b^{2} x^{2} + a^{7} b\right)}} + \frac{5 \, \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{256 \, \sqrt{a b} a^{3} b}"," ",0,"1/384*(15*b^3*x^7 - 55*a*b^2*x^5 + 73*a^2*b*x^3 + 15*a^3*x)/(a^3*b^5*x^8 - 4*a^4*b^4*x^6 + 6*a^5*b^3*x^4 - 4*a^6*b^2*x^2 + a^7*b) + 5/256*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a^3*b)","A",0
248,1,16,0,1.307658," ","integrate(x/(-b*x^2+a)^5,x, algorithm=""maxima"")","\frac{1}{8 \, {\left(b x^{2} - a\right)}^{4} b}"," ",0,"1/8/((b*x^2 - a)^4*b)","A",0
249,1,117,0,2.901090," ","integrate(1/(-b*x^2+a)^5,x, algorithm=""maxima"")","-\frac{105 \, b^{3} x^{7} - 385 \, a b^{2} x^{5} + 511 \, a^{2} b x^{3} - 279 \, a^{3} x}{384 \, {\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)}} - \frac{35 \, \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{256 \, \sqrt{a b} a^{4}}"," ",0,"-1/384*(105*b^3*x^7 - 385*a*b^2*x^5 + 511*a^2*b*x^3 - 279*a^3*x)/(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) - 35/256*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a^4)","A",0
250,1,106,0,1.393879," ","integrate(1/x/(-b*x^2+a)^5,x, algorithm=""maxima"")","-\frac{12 \, b^{3} x^{6} - 42 \, a b^{2} x^{4} + 52 \, a^{2} b x^{2} - 25 \, a^{3}}{24 \, {\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)}} - \frac{\log\left(b x^{2} - a\right)}{2 \, a^{5}} + \frac{\log\left(x^{2}\right)}{2 \, a^{5}}"," ",0,"-1/24*(12*b^3*x^6 - 42*a*b^2*x^4 + 52*a^2*b*x^2 - 25*a^3)/(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) - 1/2*log(b*x^2 - a)/a^5 + 1/2*log(x^2)/a^5","A",0
251,1,130,0,2.903852," ","integrate(1/x^2/(-b*x^2+a)^5,x, algorithm=""maxima"")","-\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}}{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)}} - \frac{315 \, b \log\left(\frac{b x - \sqrt{a b}}{b x + \sqrt{a b}}\right)}{256 \, \sqrt{a b} a^{5}}"," ",0,"-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)/(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) - 315/256*b*log((b*x - sqrt(a*b))/(b*x + sqrt(a*b)))/(sqrt(a*b)*a^5)","A",0
252,1,123,0,1.353305," ","integrate(1/x^3/(-b*x^2+a)^5,x, algorithm=""maxima"")","-\frac{60 \, b^{4} x^{8} - 210 \, a b^{3} x^{6} + 260 \, a^{2} b^{2} x^{4} - 125 \, a^{3} b x^{2} + 12 \, a^{4}}{24 \, {\left(a^{5} b^{4} x^{10} - 4 \, a^{6} b^{3} x^{8} + 6 \, a^{7} b^{2} x^{6} - 4 \, a^{8} b x^{4} + a^{9} x^{2}\right)}} - \frac{5 \, b \log\left(b x^{2} - a\right)}{2 \, a^{6}} + \frac{5 \, b \log\left(x^{2}\right)}{2 \, a^{6}}"," ",0,"-1/24*(60*b^4*x^8 - 210*a*b^3*x^6 + 260*a^2*b^2*x^4 - 125*a^3*b*x^2 + 12*a^4)/(a^5*b^4*x^10 - 4*a^6*b^3*x^8 + 6*a^7*b^2*x^6 - 4*a^8*b*x^4 + a^9*x^2) - 5/2*b*log(b*x^2 - a)/a^6 + 5/2*b*log(x^2)/a^6","A",0
253,1,17,0,1.345185," ","integrate(1/x/(b*x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(b x^{2} + 1\right) + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"-1/2*log(b*x^2 + 1) + 1/2*log(x^2)","A",0
254,1,17,0,1.366424," ","integrate(1/x/(b*x^2-1),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(b x^{2} - 1\right) - \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"1/2*log(b*x^2 - 1) - 1/2*log(x^2)","A",0
255,1,24,0,1.341784," ","integrate(1/x^3/(b*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, b \log\left(b x^{2} + 1\right) - \frac{1}{2} \, b \log\left(x^{2}\right) - \frac{1}{2 \, x^{2}}"," ",0,"1/2*b*log(b*x^2 + 1) - 1/2*b*log(x^2) - 1/2/x^2","A",0
256,1,24,0,1.337896," ","integrate(1/x^3/(b*x^2-1),x, algorithm=""maxima"")","\frac{1}{2} \, b \log\left(b x^{2} - 1\right) - \frac{1}{2} \, b \log\left(x^{2}\right) + \frac{1}{2 \, x^{2}}"," ",0,"1/2*b*log(b*x^2 - 1) - 1/2*b*log(x^2) + 1/2/x^2","A",0
257,-2,0,0,0.000000," ","integrate(1/(a*x^2+a-1),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for more details)Is a-1 positive or negative?","F(-2)",0
258,-2,0,0,0.000000," ","integrate(1/(-c-d+(c-d)*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*c^2-4*d^2>0)', see `assume?` for more details)Is 4*c^2-4*d^2 positive or negative?","F(-2)",0
259,1,28,0,1.348914," ","integrate(1/x/(b*x^2+1)^2,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(b x^{2} + 1\right)}} - \frac{1}{2} \, \log\left(b x^{2} + 1\right) + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"1/2/(b*x^2 + 1) - 1/2*log(b*x^2 + 1) + 1/2*log(x^2)","A",0
260,1,28,0,1.354670," ","integrate(1/x/(b*x^2-1)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b x^{2} - 1\right)}} - \frac{1}{2} \, \log\left(b x^{2} - 1\right) + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"-1/2/(b*x^2 - 1) - 1/2*log(b*x^2 - 1) + 1/2*log(x^2)","A",0
261,-2,0,0,0.000000," ","integrate(1/(a+(-a*c+b)*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*c-b>0)', see `assume?` for more details)Is a*c-b positive or negative?","F(-2)",0
262,-2,0,0,0.000000," ","integrate(1/(a-(-a*c+b)*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*c-b>0)', see `assume?` for more details)Is a*c-b positive or negative?","F(-2)",0
263,-2,0,0,0.000000," ","integrate(1/(c*(a-d)-(b-c)*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((c-b)*(d-a)>0)', see `assume?` for more details)Is (c-b)*(d-a) positive or negative?","F(-2)",0
264,1,13,0,1.325463," ","integrate(x^(7/2)*(b*x^2+a),x, algorithm=""maxima"")","\frac{2}{13} \, b x^{\frac{13}{2}} + \frac{2}{9} \, a x^{\frac{9}{2}}"," ",0,"2/13*b*x^(13/2) + 2/9*a*x^(9/2)","A",0
265,1,13,0,1.293089," ","integrate(x^(5/2)*(b*x^2+a),x, algorithm=""maxima"")","\frac{2}{11} \, b x^{\frac{11}{2}} + \frac{2}{7} \, a x^{\frac{7}{2}}"," ",0,"2/11*b*x^(11/2) + 2/7*a*x^(7/2)","A",0
266,1,13,0,1.332781," ","integrate(x^(3/2)*(b*x^2+a),x, algorithm=""maxima"")","\frac{2}{9} \, b x^{\frac{9}{2}} + \frac{2}{5} \, a x^{\frac{5}{2}}"," ",0,"2/9*b*x^(9/2) + 2/5*a*x^(5/2)","A",0
267,1,13,0,1.314781," ","integrate((b*x^2+a)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{7} \, b x^{\frac{7}{2}} + \frac{2}{3} \, a x^{\frac{3}{2}}"," ",0,"2/7*b*x^(7/2) + 2/3*a*x^(3/2)","A",0
268,1,13,0,1.296383," ","integrate((b*x^2+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{5} \, b x^{\frac{5}{2}} + 2 \, a \sqrt{x}"," ",0,"2/5*b*x^(5/2) + 2*a*sqrt(x)","A",0
269,1,13,0,1.352771," ","integrate((b*x^2+a)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{3} \, b x^{\frac{3}{2}} - \frac{2 \, a}{\sqrt{x}}"," ",0,"2/3*b*x^(3/2) - 2*a/sqrt(x)","A",0
270,1,13,0,1.321353," ","integrate((b*x^2+a)/x^(5/2),x, algorithm=""maxima"")","2 \, b \sqrt{x} - \frac{2 \, a}{3 \, x^{\frac{3}{2}}}"," ",0,"2*b*sqrt(x) - 2/3*a/x^(3/2)","A",0
271,1,13,0,1.311786," ","integrate((b*x^2+a)/x^(7/2),x, algorithm=""maxima"")","-\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
272,1,24,0,1.360395," ","integrate(x^(7/2)*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{2}{17} \, b^{2} x^{\frac{17}{2}} + \frac{4}{13} \, a b x^{\frac{13}{2}} + \frac{2}{9} \, a^{2} x^{\frac{9}{2}}"," ",0,"2/17*b^2*x^(17/2) + 4/13*a*b*x^(13/2) + 2/9*a^2*x^(9/2)","A",0
273,1,24,0,1.261515," ","integrate(x^(5/2)*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{2}{15} \, b^{2} x^{\frac{15}{2}} + \frac{4}{11} \, a b x^{\frac{11}{2}} + \frac{2}{7} \, a^{2} x^{\frac{7}{2}}"," ",0,"2/15*b^2*x^(15/2) + 4/11*a*b*x^(11/2) + 2/7*a^2*x^(7/2)","A",0
274,1,24,0,1.361636," ","integrate(x^(3/2)*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{2}{13} \, b^{2} x^{\frac{13}{2}} + \frac{4}{9} \, a b x^{\frac{9}{2}} + \frac{2}{5} \, a^{2} x^{\frac{5}{2}}"," ",0,"2/13*b^2*x^(13/2) + 4/9*a*b*x^(9/2) + 2/5*a^2*x^(5/2)","A",0
275,1,24,0,1.338058," ","integrate((b*x^2+a)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{11} \, b^{2} x^{\frac{11}{2}} + \frac{4}{7} \, a b x^{\frac{7}{2}} + \frac{2}{3} \, a^{2} x^{\frac{3}{2}}"," ",0,"2/11*b^2*x^(11/2) + 4/7*a*b*x^(7/2) + 2/3*a^2*x^(3/2)","A",0
276,1,24,0,1.303351," ","integrate((b*x^2+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, b^{2} x^{\frac{9}{2}} + \frac{4}{5} \, a b x^{\frac{5}{2}} + 2 \, a^{2} \sqrt{x}"," ",0,"2/9*b^2*x^(9/2) + 4/5*a*b*x^(5/2) + 2*a^2*sqrt(x)","A",0
277,1,24,0,1.332968," ","integrate((b*x^2+a)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{7} \, b^{2} x^{\frac{7}{2}} + \frac{4}{3} \, a b x^{\frac{3}{2}} - \frac{2 \, a^{2}}{\sqrt{x}}"," ",0,"2/7*b^2*x^(7/2) + 4/3*a*b*x^(3/2) - 2*a^2/sqrt(x)","A",0
278,1,24,0,1.352482," ","integrate((b*x^2+a)^2/x^(5/2),x, algorithm=""maxima"")","\frac{2}{5} \, b^{2} x^{\frac{5}{2}} + 4 \, a b \sqrt{x} - \frac{2 \, a^{2}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/5*b^2*x^(5/2) + 4*a*b*sqrt(x) - 2/3*a^2/x^(3/2)","A",0
279,1,25,0,1.308099," ","integrate((b*x^2+a)^2/x^(7/2),x, algorithm=""maxima"")","\frac{2}{3} \, b^{2} x^{\frac{3}{2}} - \frac{2 \, {\left(10 \, a b x^{2} + a^{2}\right)}}{5 \, x^{\frac{5}{2}}}"," ",0,"2/3*b^2*x^(3/2) - 2/5*(10*a*b*x^2 + a^2)/x^(5/2)","A",0
280,1,35,0,1.340181," ","integrate(x^(7/2)*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{2}{21} \, b^{3} x^{\frac{21}{2}} + \frac{6}{17} \, a b^{2} x^{\frac{17}{2}} + \frac{6}{13} \, a^{2} b x^{\frac{13}{2}} + \frac{2}{9} \, a^{3} x^{\frac{9}{2}}"," ",0,"2/21*b^3*x^(21/2) + 6/17*a*b^2*x^(17/2) + 6/13*a^2*b*x^(13/2) + 2/9*a^3*x^(9/2)","A",0
281,1,35,0,1.335532," ","integrate(x^(5/2)*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{2}{19} \, b^{3} x^{\frac{19}{2}} + \frac{2}{5} \, a b^{2} x^{\frac{15}{2}} + \frac{6}{11} \, a^{2} b x^{\frac{11}{2}} + \frac{2}{7} \, a^{3} x^{\frac{7}{2}}"," ",0,"2/19*b^3*x^(19/2) + 2/5*a*b^2*x^(15/2) + 6/11*a^2*b*x^(11/2) + 2/7*a^3*x^(7/2)","A",0
282,1,35,0,1.366054," ","integrate(x^(3/2)*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{2}{17} \, b^{3} x^{\frac{17}{2}} + \frac{6}{13} \, a b^{2} x^{\frac{13}{2}} + \frac{2}{3} \, a^{2} b x^{\frac{9}{2}} + \frac{2}{5} \, a^{3} x^{\frac{5}{2}}"," ",0,"2/17*b^3*x^(17/2) + 6/13*a*b^2*x^(13/2) + 2/3*a^2*b*x^(9/2) + 2/5*a^3*x^(5/2)","A",0
283,1,35,0,1.337979," ","integrate((b*x^2+a)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, b^{3} x^{\frac{15}{2}} + \frac{6}{11} \, a b^{2} x^{\frac{11}{2}} + \frac{6}{7} \, a^{2} b x^{\frac{7}{2}} + \frac{2}{3} \, a^{3} x^{\frac{3}{2}}"," ",0,"2/15*b^3*x^(15/2) + 6/11*a*b^2*x^(11/2) + 6/7*a^2*b*x^(7/2) + 2/3*a^3*x^(3/2)","A",0
284,1,35,0,1.335334," ","integrate((b*x^2+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{13} \, b^{3} x^{\frac{13}{2}} + \frac{2}{3} \, a b^{2} x^{\frac{9}{2}} + \frac{6}{5} \, a^{2} b x^{\frac{5}{2}} + 2 \, a^{3} \sqrt{x}"," ",0,"2/13*b^3*x^(13/2) + 2/3*a*b^2*x^(9/2) + 6/5*a^2*b*x^(5/2) + 2*a^3*sqrt(x)","A",0
285,1,35,0,1.386376," ","integrate((b*x^2+a)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{11} \, b^{3} x^{\frac{11}{2}} + \frac{6}{7} \, a b^{2} x^{\frac{7}{2}} + 2 \, a^{2} b x^{\frac{3}{2}} - \frac{2 \, a^{3}}{\sqrt{x}}"," ",0,"2/11*b^3*x^(11/2) + 6/7*a*b^2*x^(7/2) + 2*a^2*b*x^(3/2) - 2*a^3/sqrt(x)","A",0
286,1,35,0,1.348845," ","integrate((b*x^2+a)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{9} \, b^{3} x^{\frac{9}{2}} + \frac{6}{5} \, a b^{2} x^{\frac{5}{2}} + 6 \, a^{2} b \sqrt{x} - \frac{2 \, a^{3}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/9*b^3*x^(9/2) + 6/5*a*b^2*x^(5/2) + 6*a^2*b*sqrt(x) - 2/3*a^3/x^(3/2)","A",0
287,1,36,0,1.347234," ","integrate((b*x^2+a)^3/x^(7/2),x, algorithm=""maxima"")","\frac{2}{7} \, b^{3} x^{\frac{7}{2}} + 2 \, a b^{2} x^{\frac{3}{2}} - \frac{2 \, {\left(15 \, a^{2} b x^{2} + a^{3}\right)}}{5 \, x^{\frac{5}{2}}}"," ",0,"2/7*b^3*x^(7/2) + 2*a*b^2*x^(3/2) - 2/5*(15*a^2*b*x^2 + a^3)/x^(5/2)","A",0
288,1,194,0,3.075361," ","integrate(x^(7/2)/(b*x^2+a),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{\frac{5}{2}} - 5 \, a \sqrt{x}\right)}}{5 \, b^{2}} + \frac{\frac{2 \, \sqrt{2} a^{\frac{3}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} a^{\frac{3}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} a^{\frac{5}{4}} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} a^{\frac{5}{4}} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{b^{\frac{1}{4}}}}{4 \, b^{2}}"," ",0,"2/5*(b*x^(5/2) - 5*a*sqrt(x))/b^2 + 1/4*(2*sqrt(2)*a^(3/2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 2*sqrt(2)*a^(3/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + sqrt(2)*a^(5/4)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/b^(1/4) - sqrt(2)*a^(5/4)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/b^(1/4))/b^2","A",0
289,1,186,0,3.035159," ","integrate(x^(5/2)/(b*x^2+a),x, algorithm=""maxima"")","-\frac{a {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{4 \, b} + \frac{2 \, x^{\frac{3}{2}}}{3 \, b}"," ",0,"-1/4*a*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/b + 2/3*x^(3/2)/b","A",0
290,1,185,0,2.899913," ","integrate(x^(3/2)/(b*x^2+a),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{b^{\frac{1}{4}}}}{4 \, b} + \frac{2 \, \sqrt{x}}{b}"," ",0,"-1/4*(2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 2*sqrt(2)*sqrt(a)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + sqrt(2)*a^(1/4)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/b^(1/4) - sqrt(2)*a^(1/4)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/b^(1/4))/b + 2*sqrt(x)/b","A",0
291,1,172,0,2.977637," ","integrate(x^(1/2)/(b*x^2+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{4 \, a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{4 \, a^{\frac{1}{4}} b^{\frac{3}{4}}}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - 1/4*sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + 1/4*sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4))","A",0
292,1,172,0,3.042068," ","integrate(1/(b*x^2+a)/x^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{4 \, a^{\frac{3}{4}} b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{4 \, a^{\frac{3}{4}} b^{\frac{1}{4}}}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 1/4*sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)) - 1/4*sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4))","A",0
293,1,186,0,3.041556," ","integrate(1/x^(3/2)/(b*x^2+a),x, algorithm=""maxima"")","-\frac{b {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{4 \, a} - \frac{2}{a \sqrt{x}}"," ",0,"-1/4*b*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a - 2/(a*sqrt(x))","A",0
294,1,187,0,3.130795," ","integrate(1/x^(5/2)/(b*x^2+a),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} b \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} b \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}}}}{4 \, a} - \frac{2}{3 \, a x^{\frac{3}{2}}}"," ",0,"-1/4*(2*sqrt(2)*b*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*b*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*b^(3/4)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/a^(3/4) - sqrt(2)*b^(3/4)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/a^(3/4))/a - 2/3/(a*x^(3/2))","A",0
295,1,198,0,3.044393," ","integrate(1/x^(7/2)/(b*x^2+a),x, algorithm=""maxima"")","\frac{b^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{4 \, a^{2}} + \frac{2 \, {\left(5 \, b x^{2} - a\right)}}{5 \, a^{2} x^{\frac{5}{2}}}"," ",0,"1/4*b^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a^2 + 2/5*(5*b*x^2 - a)/(a^2*x^(5/2))","A",0
296,1,206,0,3.024908," ","integrate(x^(7/2)/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{a \sqrt{x}}{2 \, {\left(b^{3} x^{2} + a b^{2}\right)}} - \frac{5 \, {\left(\frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{b^{\frac{1}{4}}}\right)}}{16 \, b^{2}} + \frac{2 \, \sqrt{x}}{b^{2}}"," ",0,"1/2*a*sqrt(x)/(b^3*x^2 + a*b^2) - 5/16*(2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 2*sqrt(2)*sqrt(a)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + sqrt(2)*a^(1/4)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/b^(1/4) - sqrt(2)*a^(1/4)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/b^(1/4))/b^2 + 2*sqrt(x)/b^2","A",0
297,1,195,0,2.994479," ","integrate(x^(5/2)/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{x^{\frac{3}{2}}}{2 \, {\left(b^{2} x^{2} + a b\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{16 \, b}"," ",0,"-1/2*x^(3/2)/(b^2*x^2 + a*b) + 3/16*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/b","A",0
298,1,195,0,2.883566," ","integrate(x^(3/2)/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}}}{16 \, b} - \frac{\sqrt{x}}{2 \, {\left(b^{2} x^{2} + a b\right)}}"," ",0,"1/16*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)) - sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)))/b - 1/2*sqrt(x)/(b^2*x^2 + a*b)","A",0
299,1,194,0,3.021853," ","integrate(x^(1/2)/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{x^{\frac{3}{2}}}{2 \, {\left(a b x^{2} + a^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}}{16 \, a}"," ",0,"1/2*x^(3/2)/(a*b*x^2 + a^2) + 1/16*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a","A",0
300,1,194,0,3.050980," ","integrate(1/(b*x^2+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}}\right)}}{16 \, a} + \frac{\sqrt{x}}{2 \, {\left(a b x^{2} + a^{2}\right)}}"," ",0,"3/16*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)) - sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)))/a + 1/2*sqrt(x)/(a*b*x^2 + a^2)","A",0
301,1,208,0,2.983009," ","integrate(1/x^(3/2)/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{5 \, b x^{2} + 4 \, a}{2 \, {\left(a^{2} b x^{\frac{5}{2}} + a^{3} \sqrt{x}\right)}} - \frac{5 \, b {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{16 \, a^{2}}"," ",0,"-1/2*(5*b*x^2 + 4*a)/(a^2*b*x^(5/2) + a^3*sqrt(x)) - 5/16*b*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a^2","A",0
302,1,209,0,3.062849," ","integrate(1/x^(5/2)/(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{7 \, b x^{2} + 4 \, a}{6 \, {\left(a^{2} b x^{\frac{7}{2}} + a^{3} x^{\frac{3}{2}}\right)}} - \frac{7 \, {\left(\frac{2 \, \sqrt{2} b \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} b \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}}}\right)}}{16 \, a^{2}}"," ",0,"-1/6*(7*b*x^2 + 4*a)/(a^2*b*x^(7/2) + a^3*x^(3/2)) - 7/16*(2*sqrt(2)*b*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*b*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*b^(3/4)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/a^(3/4) - sqrt(2)*b^(3/4)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/a^(3/4))/a^2","A",0
303,1,221,0,3.035408," ","integrate(1/x^(7/2)/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{45 \, b^{2} x^{4} + 36 \, a b x^{2} - 4 \, a^{2}}{10 \, {\left(a^{3} b x^{\frac{9}{2}} + a^{4} x^{\frac{5}{2}}\right)}} + \frac{9 \, b^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{16 \, a^{3}}"," ",0,"1/10*(45*b^2*x^4 + 36*a*b*x^2 - 4*a^2)/(a^3*b*x^(9/2) + a^4*x^(5/2)) + 9/16*b^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a^3","A",0
304,1,218,0,3.091015," ","integrate(x^(7/2)/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{9 \, b x^{\frac{5}{2}} + 5 \, a \sqrt{x}}{16 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)}} + \frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}}\right)}}{128 \, b^{2}}"," ",0,"-1/16*(9*b*x^(5/2) + 5*a*sqrt(x))/(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2) + 5/128*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)) - sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)))/b^2","A",0
305,1,222,0,2.971001," ","integrate(x^(5/2)/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, b x^{\frac{7}{2}} - a x^{\frac{3}{2}}}{16 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{128 \, a b}"," ",0,"1/16*(3*b*x^(7/2) - a*x^(3/2))/(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b) + 3/128*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/(a*b)","A",0
306,1,221,0,2.894271," ","integrate(x^(3/2)/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{b x^{\frac{5}{2}} - 3 \, a \sqrt{x}}{16 \, {\left(a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}}\right)}}{128 \, a b}"," ",0,"1/16*(b*x^(5/2) - 3*a*sqrt(x))/(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b) + 3/128*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)) - sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)))/(a*b)","A",0
307,1,217,0,2.994767," ","integrate(x^(1/2)/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{5 \, b x^{\frac{7}{2}} + 9 \, a x^{\frac{3}{2}}}{16 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)}} + \frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{128 \, a^{2}}"," ",0,"1/16*(5*b*x^(7/2) + 9*a*x^(3/2))/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) + 5/128*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a^2","A",0
308,1,217,0,3.022700," ","integrate(1/(b*x^2+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{7 \, b x^{\frac{5}{2}} + 11 \, a \sqrt{x}}{16 \, {\left(a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}\right)}} + \frac{21 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{1}{4}}}\right)}}{128 \, a^{2}}"," ",0,"1/16*(7*b*x^(5/2) + 11*a*sqrt(x))/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) + 21/128*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)) - sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(3/4)*b^(1/4)))/a^2","A",0
309,1,230,0,3.001910," ","integrate(1/x^(3/2)/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{45 \, b^{2} x^{4} + 81 \, a b x^{2} + 32 \, a^{2}}{16 \, {\left(a^{3} b^{2} x^{\frac{9}{2}} + 2 \, a^{4} b x^{\frac{5}{2}} + a^{5} \sqrt{x}\right)}} - \frac{45 \, b {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{128 \, a^{3}}"," ",0,"-1/16*(45*b^2*x^4 + 81*a*b*x^2 + 32*a^2)/(a^3*b^2*x^(9/2) + 2*a^4*b*x^(5/2) + a^5*sqrt(x)) - 45/128*b*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a^3","A",0
310,1,231,0,2.966804," ","integrate(1/x^(5/2)/(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{77 \, b^{2} x^{4} + 121 \, a b x^{2} + 32 \, a^{2}}{48 \, {\left(a^{3} b^{2} x^{\frac{11}{2}} + 2 \, a^{4} b x^{\frac{7}{2}} + a^{5} x^{\frac{3}{2}}\right)}} - \frac{77 \, {\left(\frac{2 \, \sqrt{2} b \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} b \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{3}{4}}}\right)}}{128 \, a^{3}}"," ",0,"-1/48*(77*b^2*x^4 + 121*a*b*x^2 + 32*a^2)/(a^3*b^2*x^(11/2) + 2*a^4*b*x^(7/2) + a^5*x^(3/2)) - 77/128*(2*sqrt(2)*b*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*b*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*b^(3/4)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/a^(3/4) - sqrt(2)*b^(3/4)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/a^(3/4))/a^3","A",0
311,1,243,0,3.049814," ","integrate(1/x^(7/2)/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{585 \, b^{3} x^{6} + 1053 \, a b^{2} x^{4} + 416 \, a^{2} b x^{2} - 32 \, a^{3}}{80 \, {\left(a^{4} b^{2} x^{\frac{13}{2}} + 2 \, a^{5} b x^{\frac{9}{2}} + a^{6} x^{\frac{5}{2}}\right)}} + \frac{117 \, b^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} + 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} - 2 \, \sqrt{b} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} \sqrt{x} + \sqrt{b} x + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{128 \, a^{4}}"," ",0,"1/80*(585*b^3*x^6 + 1053*a*b^2*x^4 + 416*a^2*b*x^2 - 32*a^3)/(a^4*b^2*x^(13/2) + 2*a^5*b*x^(9/2) + a^6*x^(5/2)) + 117/128*b^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) + 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*b^(1/4) - 2*sqrt(b)*sqrt(x))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(-sqrt(2)*a^(1/4)*b^(1/4)*sqrt(x) + sqrt(b)*x + sqrt(a))/(a^(1/4)*b^(3/4)))/a^4","A",0
312,1,86,0,2.967087," ","integrate(x^(1/2)/(-b*x^2+a),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\log\left(\frac{\sqrt{b} \sqrt{x} - \sqrt{\sqrt{a} \sqrt{b}}}{\sqrt{b} \sqrt{x} + \sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}}"," ",0,"-arctan(sqrt(b)*sqrt(x)/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - 1/2*log((sqrt(b)*sqrt(x) - sqrt(sqrt(a)*sqrt(b)))/(sqrt(b)*sqrt(x) + sqrt(sqrt(a)*sqrt(b))))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b))","B",0
313,1,84,0,3.046369," ","integrate(x^(7/2)/(x^2+1),x, algorithm=""maxima"")","\frac{2}{5} \, x^{\frac{5}{2}} + \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - 2 \, \sqrt{x}"," ",0,"2/5*x^(5/2) + 1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 2*sqrt(x)","A",0
314,1,79,0,2.967048," ","integrate(x^(5/2)/(x^2+1),x, algorithm=""maxima"")","\frac{2}{3} \, x^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right)"," ",0,"2/3*x^(3/2) - 1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1)","A",0
315,1,79,0,2.958714," ","integrate(x^(3/2)/(x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + 2 \, \sqrt{x}"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 2*sqrt(x)","A",0
316,1,74,0,2.869959," ","integrate(x^(1/2)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1)","A",0
317,1,74,0,2.893469," ","integrate(1/(x^2+1)/x^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1)","A",0
318,1,79,0,2.988125," ","integrate(1/x^(3/2)/(x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{2}{\sqrt{x}}"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 2/sqrt(x)","A",0
319,1,79,0,2.931972," ","integrate(1/x^(5/2)/(x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{2}{3 \, x^{\frac{3}{2}}}"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 2/3/x^(3/2)","A",0
320,1,86,0,3.047639," ","integrate(1/x^(7/2)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{2 \, {\left(5 \, x^{2} - 1\right)}}{5 \, x^{\frac{5}{2}}}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 1/4*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 1/4*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 2/5*(5*x^2 - 1)/x^(5/2)","A",0
321,1,91,0,2.996559," ","integrate(x^(7/2)/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{5}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{5}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{5}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{5}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + 2 \, \sqrt{x} + \frac{\sqrt{x}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"-5/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 5/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 5/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 5/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 2*sqrt(x) + 1/2*sqrt(x)/(x^2 + 1)","A",0
322,1,86,0,2.996305," ","integrate(x^(5/2)/(x^2+1)^2,x, algorithm=""maxima"")","\frac{3}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{3}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{3}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{3}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{x^{\frac{3}{2}}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"3/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 3/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 3/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 3/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 1/2*x^(3/2)/(x^2 + 1)","A",0
323,1,86,0,2.959461," ","integrate(x^(3/2)/(x^2+1)^2,x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{\sqrt{x}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 1/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 1/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 1/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 1/2*sqrt(x)/(x^2 + 1)","A",0
324,1,86,0,2.935660," ","integrate(x^(1/2)/(x^2+1)^2,x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{x^{\frac{3}{2}}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 1/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 1/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 1/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/2*x^(3/2)/(x^2 + 1)","A",0
325,1,86,0,2.837577," ","integrate(1/(x^2+1)^2/x^(1/2),x, algorithm=""maxima"")","\frac{3}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{3}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{3}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{3}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{\sqrt{x}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"3/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 3/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 3/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 3/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/2*sqrt(x)/(x^2 + 1)","A",0
326,1,92,0,3.036742," ","integrate(1/x^(3/2)/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{5}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{5}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{5}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{5}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{5 \, x^{2} + 4}{2 \, {\left(x^{\frac{5}{2}} + \sqrt{x}\right)}}"," ",0,"-5/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 5/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 5/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 5/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 1/2*(5*x^2 + 4)/(x^(5/2) + sqrt(x))","A",0
327,1,92,0,2.943740," ","integrate(1/x^(5/2)/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{7}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{7}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{7}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{7}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{7 \, x^{2} + 4}{6 \, {\left(x^{\frac{7}{2}} + x^{\frac{3}{2}}\right)}}"," ",0,"-7/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 7/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 7/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 7/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 1/6*(7*x^2 + 4)/(x^(7/2) + x^(3/2))","A",0
328,1,97,0,3.042189," ","integrate(1/x^(7/2)/(x^2+1)^2,x, algorithm=""maxima"")","\frac{9}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{9}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{9}{16} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{9}{16} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{45 \, x^{4} + 36 \, x^{2} - 4}{10 \, {\left(x^{\frac{9}{2}} + x^{\frac{5}{2}}\right)}}"," ",0,"9/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 9/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 9/16*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 9/16*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/10*(45*x^4 + 36*x^2 - 4)/(x^(9/2) + x^(5/2))","A",0
329,1,99,0,3.014044," ","integrate(x^(7/2)/(x^2+1)^3,x, algorithm=""maxima"")","\frac{5}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{5}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{5}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{5}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{9 \, x^{\frac{5}{2}} + 5 \, \sqrt{x}}{16 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"5/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 5/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 5/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 5/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 1/16*(9*x^(5/2) + 5*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
330,1,99,0,2.910987," ","integrate(x^(5/2)/(x^2+1)^3,x, algorithm=""maxima"")","\frac{3}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{3}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{3}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{3}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{3 \, x^{\frac{7}{2}} - x^{\frac{3}{2}}}{16 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"3/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 3/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 3/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 3/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/16*(3*x^(7/2) - x^(3/2))/(x^4 + 2*x^2 + 1)","A",0
331,1,97,0,2.968927," ","integrate(x^(3/2)/(x^2+1)^3,x, algorithm=""maxima"")","\frac{3}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{3}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{3}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{3}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{x^{\frac{5}{2}} - 3 \, \sqrt{x}}{16 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"3/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 3/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 3/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 3/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/16*(x^(5/2) - 3*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
332,1,99,0,3.019939," ","integrate(x^(1/2)/(x^2+1)^3,x, algorithm=""maxima"")","\frac{5}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{5}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{5}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{5}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{5 \, x^{\frac{7}{2}} + 9 \, x^{\frac{3}{2}}}{16 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"5/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 5/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 5/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 5/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/16*(5*x^(7/2) + 9*x^(3/2))/(x^4 + 2*x^2 + 1)","A",0
333,1,99,0,2.896327," ","integrate(1/(x^2+1)^3/x^(1/2),x, algorithm=""maxima"")","\frac{21}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{21}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{21}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{21}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{7 \, x^{\frac{5}{2}} + 11 \, \sqrt{x}}{16 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"21/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 21/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 21/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 21/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/16*(7*x^(5/2) + 11*sqrt(x))/(x^4 + 2*x^2 + 1)","A",0
334,1,102,0,2.976038," ","integrate(1/x^(3/2)/(x^2+1)^3,x, algorithm=""maxima"")","-\frac{45}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{45}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{45}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{45}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{45 \, x^{4} + 81 \, x^{2} + 32}{16 \, {\left(x^{\frac{9}{2}} + 2 \, x^{\frac{5}{2}} + \sqrt{x}\right)}}"," ",0,"-45/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 45/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 45/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 45/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 1/16*(45*x^4 + 81*x^2 + 32)/(x^(9/2) + 2*x^(5/2) + sqrt(x))","A",0
335,1,102,0,2.852780," ","integrate(1/x^(5/2)/(x^2+1)^3,x, algorithm=""maxima"")","-\frac{77}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \frac{77}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{77}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{77}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{77 \, x^{4} + 121 \, x^{2} + 32}{48 \, {\left(x^{\frac{11}{2}} + 2 \, x^{\frac{7}{2}} + x^{\frac{3}{2}}\right)}}"," ",0,"-77/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - 77/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 77/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 77/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 1/48*(77*x^4 + 121*x^2 + 32)/(x^(11/2) + 2*x^(7/2) + x^(3/2))","A",0
336,1,107,0,2.950640," ","integrate(1/x^(7/2)/(x^2+1)^3,x, algorithm=""maxima"")","\frac{117}{64} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{117}{64} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) - \frac{117}{128} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) + \frac{117}{128} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) + \frac{585 \, x^{6} + 1053 \, x^{4} + 416 \, x^{2} - 32}{80 \, {\left(x^{\frac{13}{2}} + 2 \, x^{\frac{9}{2}} + x^{\frac{5}{2}}\right)}}"," ",0,"117/64*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 117/64*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) - 117/128*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) + 117/128*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) + 1/80*(585*x^6 + 1053*x^4 + 416*x^2 - 32)/(x^(13/2) + 2*x^(9/2) + x^(5/2))","A",0
337,1,23,0,2.969113," ","integrate(x^(1/2)/(-x^2+1),x, algorithm=""maxima"")","-\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
338,1,68,0,2.970561," ","integrate(x^(2/3)/(x^2+1),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{3} \log\left(\sqrt{3} x^{\frac{1}{3}} + x^{\frac{2}{3}} + 1\right) + \frac{1}{4} \, \sqrt{3} \log\left(-\sqrt{3} x^{\frac{1}{3}} + x^{\frac{2}{3}} + 1\right) + \frac{1}{2} \, \arctan\left(\sqrt{3} + 2 \, x^{\frac{1}{3}}\right) + \frac{1}{2} \, \arctan\left(-\sqrt{3} + 2 \, x^{\frac{1}{3}}\right) + \arctan\left(x^{\frac{1}{3}}\right)"," ",0,"-1/4*sqrt(3)*log(sqrt(3)*x^(1/3) + x^(2/3) + 1) + 1/4*sqrt(3)*log(-sqrt(3)*x^(1/3) + x^(2/3) + 1) + 1/2*arctan(sqrt(3) + 2*x^(1/3)) + 1/2*arctan(-sqrt(3) + 2*x^(1/3)) + arctan(x^(1/3))","A",0
339,1,97,0,1.330204," ","integrate(x^m*(b*x^2+a)^5,x, algorithm=""maxima"")","\frac{b^{5} x^{m + 11}}{m + 11} + \frac{5 \, a b^{4} x^{m + 9}}{m + 9} + \frac{10 \, a^{2} b^{3} x^{m + 7}}{m + 7} + \frac{10 \, a^{3} b^{2} x^{m + 5}}{m + 5} + \frac{5 \, a^{4} b x^{m + 3}}{m + 3} + \frac{a^{5} x^{m + 1}}{m + 1}"," ",0,"b^5*x^(m + 11)/(m + 11) + 5*a*b^4*x^(m + 9)/(m + 9) + 10*a^2*b^3*x^(m + 7)/(m + 7) + 10*a^3*b^2*x^(m + 5)/(m + 5) + 5*a^4*b*x^(m + 3)/(m + 3) + a^5*x^(m + 1)/(m + 1)","A",0
340,1,79,0,1.339217," ","integrate(x^m*(b*x^2+a)^4,x, algorithm=""maxima"")","\frac{b^{4} x^{m + 9}}{m + 9} + \frac{4 \, a b^{3} x^{m + 7}}{m + 7} + \frac{6 \, a^{2} b^{2} x^{m + 5}}{m + 5} + \frac{4 \, a^{3} b x^{m + 3}}{m + 3} + \frac{a^{4} x^{m + 1}}{m + 1}"," ",0,"b^4*x^(m + 9)/(m + 9) + 4*a*b^3*x^(m + 7)/(m + 7) + 6*a^2*b^2*x^(m + 5)/(m + 5) + 4*a^3*b*x^(m + 3)/(m + 3) + a^4*x^(m + 1)/(m + 1)","A",0
341,1,61,0,1.339657," ","integrate(x^m*(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{m + 7}}{m + 7} + \frac{3 \, a b^{2} x^{m + 5}}{m + 5} + \frac{3 \, a^{2} b x^{m + 3}}{m + 3} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"b^3*x^(m + 7)/(m + 7) + 3*a*b^2*x^(m + 5)/(m + 5) + 3*a^2*b*x^(m + 3)/(m + 3) + a^3*x^(m + 1)/(m + 1)","A",0
342,1,43,0,1.314917," ","integrate(x^m*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 5}}{m + 5} + \frac{2 \, a b x^{m + 3}}{m + 3} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 5)/(m + 5) + 2*a*b*x^(m + 3)/(m + 3) + a^2*x^(m + 1)/(m + 1)","A",0
343,1,25,0,1.297289," ","integrate(x^m*(b*x^2+a),x, algorithm=""maxima"")","\frac{b x^{m + 3}}{m + 3} + \frac{a x^{m + 1}}{m + 1}"," ",0,"b*x^(m + 3)/(m + 3) + a*x^(m + 1)/(m + 1)","A",0
344,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{x^{m}}{b x^{2} + a}\,{d x}"," ",0,"integrate(x^m/(b*x^2 + a), x)","F",0
345,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/(b*x^2 + a)^2, x)","F",0
346,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^m/(b*x^2 + a)^3, x)","F",0
347,0,0,0,0.000000," ","integrate((c*x)^(1+m)/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{m + 1}}{b x^{2} + a}\,{d x}"," ",0,"integrate((c*x)^(m + 1)/(b*x^2 + a), x)","F",0
348,0,0,0,0.000000," ","integrate((c*x)^m/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{m}}{b x^{2} + a}\,{d x}"," ",0,"integrate((c*x)^m/(b*x^2 + a), x)","F",0
349,0,0,0,0.000000," ","integrate((c*x)^(-1+m)/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{m - 1}}{b x^{2} + a}\,{d x}"," ",0,"integrate((c*x)^(m - 1)/(b*x^2 + a), x)","F",0
350,0,0,0,0.000000," ","integrate((c*x)^(-2+m)/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{m - 2}}{b x^{2} + a}\,{d x}"," ",0,"integrate((c*x)^(m - 2)/(b*x^2 + a), x)","F",0
351,0,0,0,0.000000," ","integrate((c*x)^(-3+m)/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{m - 3}}{b x^{2} + a}\,{d x}"," ",0,"integrate((c*x)^(m - 3)/(b*x^2 + a), x)","F",0
352,0,0,0,0.000000," ","integrate(x^m/(1+a*x^2/b)^2,x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(\frac{a x^{2}}{b} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/(a*x^2/b + 1)^2, x)","F",0
353,1,73,0,1.356003," ","integrate(x^7*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} x^{6}}{9 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a x^{4}}{21 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} x^{2}}{105 \, b^{3}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3}}{315 \, b^{4}}"," ",0,"1/9*(b*x^2 + a)^(3/2)*x^6/b - 2/21*(b*x^2 + a)^(3/2)*a*x^4/b^2 + 8/105*(b*x^2 + a)^(3/2)*a^2*x^2/b^3 - 16/315*(b*x^2 + a)^(3/2)*a^3/b^4","A",0
354,1,53,0,1.323392," ","integrate(x^5*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} x^{4}}{7 \, b} - \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a x^{2}}{35 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2}}{105 \, b^{3}}"," ",0,"1/7*(b*x^2 + a)^(3/2)*x^4/b - 4/35*(b*x^2 + a)^(3/2)*a*x^2/b^2 + 8/105*(b*x^2 + a)^(3/2)*a^2/b^3","A",0
355,1,33,0,1.336795," ","integrate(x^3*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} x^{2}}{5 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a}{15 \, b^{2}}"," ",0,"1/5*(b*x^2 + a)^(3/2)*x^2/b - 2/15*(b*x^2 + a)^(3/2)*a/b^2","A",0
356,1,14,0,1.334214," ","integrate(x*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"1/3*(b*x^2 + a)^(3/2)/b","A",0
357,1,27,0,1.363156," ","integrate((b*x^2+a)^(1/2)/x,x, algorithm=""maxima"")","-\sqrt{a} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \sqrt{b x^{2} + a}"," ",0,"-sqrt(a)*arcsinh(a/(sqrt(a*b)*abs(x))) + sqrt(b*x^2 + a)","A",0
358,1,51,0,1.369010," ","integrate((b*x^2+a)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{2 \, \sqrt{a}} + \frac{\sqrt{b x^{2} + a} b}{2 \, a} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{2 \, a x^{2}}"," ",0,"-1/2*b*arcsinh(a/(sqrt(a*b)*abs(x)))/sqrt(a) + 1/2*sqrt(b*x^2 + a)*b/a - 1/2*(b*x^2 + a)^(3/2)/(a*x^2)","A",0
359,1,73,0,1.324017," ","integrate((b*x^2+a)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{b^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{8 \, a^{\frac{3}{2}}} - \frac{\sqrt{b x^{2} + a} b^{2}}{8 \, a^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b}{8 \, a^{2} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{4 \, a x^{4}}"," ",0,"1/8*b^2*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(3/2) - 1/8*sqrt(b*x^2 + a)*b^2/a^2 + 1/8*(b*x^2 + a)^(3/2)*b/(a^2*x^2) - 1/4*(b*x^2 + a)^(3/2)/(a*x^4)","A",0
360,1,93,0,1.340202," ","integrate((b*x^2+a)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{b^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{16 \, a^{\frac{5}{2}}} + \frac{\sqrt{b x^{2} + a} b^{3}}{16 \, a^{3}} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}{16 \, a^{3} x^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b}{8 \, a^{2} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{6 \, a x^{6}}"," ",0,"-1/16*b^3*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(5/2) + 1/16*sqrt(b*x^2 + a)*b^3/a^3 - 1/16*(b*x^2 + a)^(3/2)*b^2/(a^3*x^2) + 1/8*(b*x^2 + a)^(3/2)*b/(a^2*x^4) - 1/6*(b*x^2 + a)^(3/2)/(a*x^6)","A",0
361,1,69,0,1.305278," ","integrate(x^4*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} x^{3}}{6 \, b} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} a x}{8 \, b^{2}} + \frac{\sqrt{b x^{2} + a} a^{2} x}{16 \, b^{2}} + \frac{a^{3} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{16 \, b^{\frac{5}{2}}}"," ",0,"1/6*(b*x^2 + a)^(3/2)*x^3/b - 1/8*(b*x^2 + a)^(3/2)*a*x/b^2 + 1/16*sqrt(b*x^2 + a)*a^2*x/b^2 + 1/16*a^3*arcsinh(b*x/sqrt(a*b))/b^(5/2)","A",0
362,1,49,0,1.358506," ","integrate(x^2*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} x}{4 \, b} - \frac{\sqrt{b x^{2} + a} a x}{8 \, b} - \frac{a^{2} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, b^{\frac{3}{2}}}"," ",0,"1/4*(b*x^2 + a)^(3/2)*x/b - 1/8*sqrt(b*x^2 + a)*a*x/b - 1/8*a^2*arcsinh(b*x/sqrt(a*b))/b^(3/2)","A",0
363,1,28,0,1.327737," ","integrate((b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b x^{2} + a} x + \frac{a \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{b}}"," ",0,"1/2*sqrt(b*x^2 + a)*x + 1/2*a*arcsinh(b*x/sqrt(a*b))/sqrt(b)","A",0
364,1,28,0,1.372802," ","integrate((b*x^2+a)^(1/2)/x^2,x, algorithm=""maxima"")","\sqrt{b} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{\sqrt{b x^{2} + a}}{x}"," ",0,"sqrt(b)*arcsinh(b*x/sqrt(a*b)) - sqrt(b*x^2 + a)/x","A",0
365,1,17,0,1.315418," ","integrate((b*x^2+a)^(1/2)/x^4,x, algorithm=""maxima"")","-\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
366,1,36,0,1.282792," ","integrate((b*x^2+a)^(1/2)/x^6,x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b}{15 \, a^{2} x^{3}} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{5 \, a x^{5}}"," ",0,"2/15*(b*x^2 + a)^(3/2)*b/(a^2*x^3) - 1/5*(b*x^2 + a)^(3/2)/(a*x^5)","A",0
367,1,56,0,1.315144," ","integrate((b*x^2+a)^(1/2)/x^8,x, algorithm=""maxima"")","-\frac{8 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}{105 \, a^{3} x^{3}} + \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b}{35 \, a^{2} x^{5}} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{7 \, a x^{7}}"," ",0,"-8/105*(b*x^2 + a)^(3/2)*b^2/(a^3*x^3) + 4/35*(b*x^2 + a)^(3/2)*b/(a^2*x^5) - 1/7*(b*x^2 + a)^(3/2)/(a*x^7)","A",0
368,1,76,0,1.336897," ","integrate((b*x^2+a)^(1/2)/x^10,x, algorithm=""maxima"")","\frac{16 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3}}{315 \, a^{4} x^{3}} - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}{105 \, a^{3} x^{5}} + \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b}{21 \, a^{2} x^{7}} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{9 \, a x^{9}}"," ",0,"16/315*(b*x^2 + a)^(3/2)*b^3/(a^4*x^3) - 8/105*(b*x^2 + a)^(3/2)*b^2/(a^3*x^5) + 2/21*(b*x^2 + a)^(3/2)*b/(a^2*x^7) - 1/9*(b*x^2 + a)^(3/2)/(a*x^9)","A",0
369,1,73,0,1.327655," ","integrate(x^7*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} x^{6}}{11 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a x^{4}}{33 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} x^{2}}{231 \, b^{3}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{3}}{1155 \, b^{4}}"," ",0,"1/11*(b*x^2 + a)^(5/2)*x^6/b - 2/33*(b*x^2 + a)^(5/2)*a*x^4/b^2 + 8/231*(b*x^2 + a)^(5/2)*a^2*x^2/b^3 - 16/1155*(b*x^2 + a)^(5/2)*a^3/b^4","A",0
370,1,53,0,1.317123," ","integrate(x^5*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} x^{4}}{9 \, b} - \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a x^{2}}{63 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2}}{315 \, b^{3}}"," ",0,"1/9*(b*x^2 + a)^(5/2)*x^4/b - 4/63*(b*x^2 + a)^(5/2)*a*x^2/b^2 + 8/315*(b*x^2 + a)^(5/2)*a^2/b^3","A",0
371,1,33,0,1.327702," ","integrate(x^3*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} x^{2}}{7 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a}{35 \, b^{2}}"," ",0,"1/7*(b*x^2 + a)^(5/2)*x^2/b - 2/35*(b*x^2 + a)^(5/2)*a/b^2","A",0
372,1,14,0,1.325127," ","integrate(x*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{5 \, b}"," ",0,"1/5*(b*x^2 + a)^(5/2)/b","A",0
373,1,40,0,1.277806," ","integrate((b*x^2+a)^(3/2)/x,x, algorithm=""maxima"")","-a^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{1}{3} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} + \sqrt{b x^{2} + a} a"," ",0,"-a^(3/2)*arcsinh(a/(sqrt(a*b)*abs(x))) + 1/3*(b*x^2 + a)^(3/2) + sqrt(b*x^2 + a)*a","A",0
374,1,63,0,1.341985," ","integrate((b*x^2+a)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{3}{2} \, \sqrt{a} b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{3}{2} \, \sqrt{b x^{2} + a} b + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b}{2 \, a} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{2 \, a x^{2}}"," ",0,"-3/2*sqrt(a)*b*arcsinh(a/(sqrt(a*b)*abs(x))) + 3/2*sqrt(b*x^2 + a)*b + 1/2*(b*x^2 + a)^(3/2)*b/a - 1/2*(b*x^2 + a)^(5/2)/(a*x^2)","A",0
375,1,90,0,1.370152," ","integrate((b*x^2+a)^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{3 \, b^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{8 \, \sqrt{a}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}{8 \, a^{2}} + \frac{3 \, \sqrt{b x^{2} + a} b^{2}}{8 \, a} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{8 \, a^{2} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{4 \, a x^{4}}"," ",0,"-3/8*b^2*arcsinh(a/(sqrt(a*b)*abs(x)))/sqrt(a) + 1/8*(b*x^2 + a)^(3/2)*b^2/a^2 + 3/8*sqrt(b*x^2 + a)*b^2/a - 1/8*(b*x^2 + a)^(5/2)*b/(a^2*x^2) - 1/4*(b*x^2 + a)^(5/2)/(a*x^4)","A",0
376,1,110,0,1.333258," ","integrate((b*x^2+a)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{b^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{16 \, a^{\frac{3}{2}}} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3}}{48 \, a^{3}} - \frac{\sqrt{b x^{2} + a} b^{3}}{16 \, a^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}}{48 \, a^{3} x^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{24 \, a^{2} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{6 \, a x^{6}}"," ",0,"1/16*b^3*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(3/2) - 1/48*(b*x^2 + a)^(3/2)*b^3/a^3 - 1/16*sqrt(b*x^2 + a)*b^3/a^2 + 1/48*(b*x^2 + a)^(5/2)*b^2/(a^3*x^2) + 1/24*(b*x^2 + a)^(5/2)*b/(a^2*x^4) - 1/6*(b*x^2 + a)^(5/2)/(a*x^6)","A",0
377,1,130,0,1.384267," ","integrate((b*x^2+a)^(3/2)/x^9,x, algorithm=""maxima"")","-\frac{3 \, b^{4} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{128 \, a^{\frac{5}{2}}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{4}}{128 \, a^{4}} + \frac{3 \, \sqrt{b x^{2} + a} b^{4}}{128 \, a^{3}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}}{128 \, a^{4} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}}{64 \, a^{3} x^{4}} + \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{16 \, a^{2} x^{6}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{8 \, a x^{8}}"," ",0,"-3/128*b^4*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(5/2) + 1/128*(b*x^2 + a)^(3/2)*b^4/a^4 + 3/128*sqrt(b*x^2 + a)*b^4/a^3 - 1/128*(b*x^2 + a)^(5/2)*b^3/(a^4*x^2) - 1/64*(b*x^2 + a)^(5/2)*b^2/(a^3*x^4) + 1/16*(b*x^2 + a)^(5/2)*b/(a^2*x^6) - 1/8*(b*x^2 + a)^(5/2)/(a*x^8)","A",0
378,1,87,0,1.356101," ","integrate(x^4*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} x^{3}}{8 \, b} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} a x}{16 \, b^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} x}{64 \, b^{2}} + \frac{3 \, \sqrt{b x^{2} + a} a^{3} x}{128 \, b^{2}} + \frac{3 \, a^{4} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{128 \, b^{\frac{5}{2}}}"," ",0,"1/8*(b*x^2 + a)^(5/2)*x^3/b - 1/16*(b*x^2 + a)^(5/2)*a*x/b^2 + 1/64*(b*x^2 + a)^(3/2)*a^2*x/b^2 + 3/128*sqrt(b*x^2 + a)*a^3*x/b^2 + 3/128*a^4*arcsinh(b*x/sqrt(a*b))/b^(5/2)","A",0
379,1,67,0,1.334132," ","integrate(x^2*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} x}{6 \, b} - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} a x}{24 \, b} - \frac{\sqrt{b x^{2} + a} a^{2} x}{16 \, b} - \frac{a^{3} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{16 \, b^{\frac{3}{2}}}"," ",0,"1/6*(b*x^2 + a)^(5/2)*x/b - 1/24*(b*x^2 + a)^(3/2)*a*x/b - 1/16*sqrt(b*x^2 + a)*a^2*x/b - 1/16*a^3*arcsinh(b*x/sqrt(a*b))/b^(3/2)","A",0
380,1,43,0,1.313743," ","integrate((b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} x + \frac{3}{8} \, \sqrt{b x^{2} + a} a x + \frac{3 \, a^{2} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{b}}"," ",0,"1/4*(b*x^2 + a)^(3/2)*x + 3/8*sqrt(b*x^2 + a)*a*x + 3/8*a^2*arcsinh(b*x/sqrt(a*b))/sqrt(b)","A",0
381,1,43,0,1.343505," ","integrate((b*x^2+a)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{3}{2} \, \sqrt{b x^{2} + a} b x + \frac{3}{2} \, a \sqrt{b} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{x}"," ",0,"3/2*sqrt(b*x^2 + a)*b*x + 3/2*a*sqrt(b)*arcsinh(b*x/sqrt(a*b)) - (b*x^2 + a)^(3/2)/x","A",0
382,1,66,0,1.317446," ","integrate((b*x^2+a)^(3/2)/x^4,x, algorithm=""maxima"")","\frac{\sqrt{b x^{2} + a} b^{2} x}{a} + b^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b}{3 \, a x} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{3 \, a x^{3}}"," ",0,"sqrt(b*x^2 + a)*b^2*x/a + b^(3/2)*arcsinh(b*x/sqrt(a*b)) - 2/3*(b*x^2 + a)^(3/2)*b/(a*x) - 1/3*(b*x^2 + a)^(5/2)/(a*x^3)","A",0
383,1,17,0,1.335705," ","integrate((b*x^2+a)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{5 \, a x^{5}}"," ",0,"-1/5*(b*x^2 + a)^(5/2)/(a*x^5)","A",0
384,1,36,0,1.385941," ","integrate((b*x^2+a)^(3/2)/x^8,x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{35 \, a^{2} x^{5}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{7 \, a x^{7}}"," ",0,"2/35*(b*x^2 + a)^(5/2)*b/(a^2*x^5) - 1/7*(b*x^2 + a)^(5/2)/(a*x^7)","A",0
385,1,56,0,1.374753," ","integrate((b*x^2+a)^(3/2)/x^10,x, algorithm=""maxima"")","-\frac{8 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}}{315 \, a^{3} x^{5}} + \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{63 \, a^{2} x^{7}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{9 \, a x^{9}}"," ",0,"-8/315*(b*x^2 + a)^(5/2)*b^2/(a^3*x^5) + 4/63*(b*x^2 + a)^(5/2)*b/(a^2*x^7) - 1/9*(b*x^2 + a)^(5/2)/(a*x^9)","A",0
386,1,76,0,1.423990," ","integrate((b*x^2+a)^(3/2)/x^12,x, algorithm=""maxima"")","\frac{16 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}}{1155 \, a^{4} x^{5}} - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}}{231 \, a^{3} x^{7}} + \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{33 \, a^{2} x^{9}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{11 \, a x^{11}}"," ",0,"16/1155*(b*x^2 + a)^(5/2)*b^3/(a^4*x^5) - 8/231*(b*x^2 + a)^(5/2)*b^2/(a^3*x^7) + 2/33*(b*x^2 + a)^(5/2)*b/(a^2*x^9) - 1/11*(b*x^2 + a)^(5/2)/(a*x^11)","A",0
387,1,73,0,1.326050," ","integrate(x^7*(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} x^{6}}{13 \, b} - \frac{6 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a x^{4}}{143 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2} x^{2}}{429 \, b^{3}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{3}}{3003 \, b^{4}}"," ",0,"1/13*(b*x^2 + a)^(7/2)*x^6/b - 6/143*(b*x^2 + a)^(7/2)*a*x^4/b^2 + 8/429*(b*x^2 + a)^(7/2)*a^2*x^2/b^3 - 16/3003*(b*x^2 + a)^(7/2)*a^3/b^4","A",0
388,1,53,0,1.356811," ","integrate(x^5*(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} x^{4}}{11 \, b} - \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a x^{2}}{99 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2}}{693 \, b^{3}}"," ",0,"1/11*(b*x^2 + a)^(7/2)*x^4/b - 4/99*(b*x^2 + a)^(7/2)*a*x^2/b^2 + 8/693*(b*x^2 + a)^(7/2)*a^2/b^3","A",0
389,1,33,0,1.370338," ","integrate(x^3*(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} x^{2}}{9 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a}{63 \, b^{2}}"," ",0,"1/9*(b*x^2 + a)^(7/2)*x^2/b - 2/63*(b*x^2 + a)^(7/2)*a/b^2","A",0
390,1,14,0,1.341237," ","integrate(x*(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{7 \, b}"," ",0,"1/7*(b*x^2 + a)^(7/2)/b","A",0
391,1,54,0,1.325667," ","integrate((b*x^2+a)^(5/2)/x,x, algorithm=""maxima"")","-a^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{1}{5} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} + \frac{1}{3} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a + \sqrt{b x^{2} + a} a^{2}"," ",0,"-a^(5/2)*arcsinh(a/(sqrt(a*b)*abs(x))) + 1/5*(b*x^2 + a)^(5/2) + 1/3*(b*x^2 + a)^(3/2)*a + sqrt(b*x^2 + a)*a^2","A",0
392,1,76,0,1.378765," ","integrate((b*x^2+a)^(5/2)/x^3,x, algorithm=""maxima"")","-\frac{5}{2} \, a^{\frac{3}{2}} b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{5}{6} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b + \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{2 \, a} + \frac{5}{2} \, \sqrt{b x^{2} + a} a b - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{2 \, a x^{2}}"," ",0,"-5/2*a^(3/2)*b*arcsinh(a/(sqrt(a*b)*abs(x))) + 5/6*(b*x^2 + a)^(3/2)*b + 1/2*(b*x^2 + a)^(5/2)*b/a + 5/2*sqrt(b*x^2 + a)*a*b - 1/2*(b*x^2 + a)^(7/2)/(a*x^2)","A",0
393,1,104,0,1.348852," ","integrate((b*x^2+a)^(5/2)/x^5,x, algorithm=""maxima"")","-\frac{15}{8} \, \sqrt{a} b^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{15}{8} \, \sqrt{b x^{2} + a} b^{2} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}}{8 \, a^{2}} + \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}{8 \, a} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{8 \, a^{2} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{4 \, a x^{4}}"," ",0,"-15/8*sqrt(a)*b^2*arcsinh(a/(sqrt(a*b)*abs(x))) + 15/8*sqrt(b*x^2 + a)*b^2 + 3/8*(b*x^2 + a)^(5/2)*b^2/a^2 + 5/8*(b*x^2 + a)^(3/2)*b^2/a - 3/8*(b*x^2 + a)^(7/2)*b/(a^2*x^2) - 1/4*(b*x^2 + a)^(7/2)/(a*x^4)","A",0
394,1,127,0,1.468799," ","integrate((b*x^2+a)^(5/2)/x^7,x, algorithm=""maxima"")","-\frac{5 \, b^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{16 \, \sqrt{a}} + \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}}{16 \, a^{3}} + \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3}}{48 \, a^{2}} + \frac{5 \, \sqrt{b x^{2} + a} b^{3}}{16 \, a} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{16 \, a^{3} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{24 \, a^{2} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{6 \, a x^{6}}"," ",0,"-5/16*b^3*arcsinh(a/(sqrt(a*b)*abs(x)))/sqrt(a) + 1/16*(b*x^2 + a)^(5/2)*b^3/a^3 + 5/48*(b*x^2 + a)^(3/2)*b^3/a^2 + 5/16*sqrt(b*x^2 + a)*b^3/a - 1/16*(b*x^2 + a)^(7/2)*b^2/(a^3*x^2) - 1/24*(b*x^2 + a)^(7/2)*b/(a^2*x^4) - 1/6*(b*x^2 + a)^(7/2)/(a*x^6)","A",0
395,1,147,0,1.380653," ","integrate((b*x^2+a)^(5/2)/x^9,x, algorithm=""maxima"")","\frac{5 \, b^{4} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{128 \, a^{\frac{3}{2}}} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4}}{128 \, a^{4}} - \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{4}}{384 \, a^{3}} - \frac{5 \, \sqrt{b x^{2} + a} b^{4}}{128 \, a^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}{128 \, a^{4} x^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{192 \, a^{3} x^{4}} + \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{48 \, a^{2} x^{6}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{8 \, a x^{8}}"," ",0,"5/128*b^4*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(3/2) - 1/128*(b*x^2 + a)^(5/2)*b^4/a^4 - 5/384*(b*x^2 + a)^(3/2)*b^4/a^3 - 5/128*sqrt(b*x^2 + a)*b^4/a^2 + 1/128*(b*x^2 + a)^(7/2)*b^3/(a^4*x^2) + 1/192*(b*x^2 + a)^(7/2)*b^2/(a^3*x^4) + 1/48*(b*x^2 + a)^(7/2)*b/(a^2*x^6) - 1/8*(b*x^2 + a)^(7/2)/(a*x^8)","A",0
396,1,167,0,1.439014," ","integrate((b*x^2+a)^(5/2)/x^11,x, algorithm=""maxima"")","-\frac{3 \, b^{5} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{256 \, a^{\frac{5}{2}}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{5}}{1280 \, a^{5}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{5}}{256 \, a^{4}} + \frac{3 \, \sqrt{b x^{2} + a} b^{5}}{256 \, a^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}{1280 \, a^{5} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}{640 \, a^{4} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{160 \, a^{3} x^{6}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{80 \, a^{2} x^{8}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{10 \, a x^{10}}"," ",0,"-3/256*b^5*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(5/2) + 3/1280*(b*x^2 + a)^(5/2)*b^5/a^5 + 1/256*(b*x^2 + a)^(3/2)*b^5/a^4 + 3/256*sqrt(b*x^2 + a)*b^5/a^3 - 3/1280*(b*x^2 + a)^(7/2)*b^4/(a^5*x^2) - 1/640*(b*x^2 + a)^(7/2)*b^3/(a^4*x^4) - 1/160*(b*x^2 + a)^(7/2)*b^2/(a^3*x^6) + 3/80*(b*x^2 + a)^(7/2)*b/(a^2*x^8) - 1/10*(b*x^2 + a)^(7/2)/(a*x^10)","A",0
397,1,105,0,1.264231," ","integrate(x^4*(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} x^{3}}{10 \, b} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a x}{80 \, b^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} x}{160 \, b^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} x}{128 \, b^{2}} + \frac{3 \, \sqrt{b x^{2} + a} a^{4} x}{256 \, b^{2}} + \frac{3 \, a^{5} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{256 \, b^{\frac{5}{2}}}"," ",0,"1/10*(b*x^2 + a)^(7/2)*x^3/b - 3/80*(b*x^2 + a)^(7/2)*a*x/b^2 + 1/160*(b*x^2 + a)^(5/2)*a^2*x/b^2 + 1/128*(b*x^2 + a)^(3/2)*a^3*x/b^2 + 3/256*sqrt(b*x^2 + a)*a^4*x/b^2 + 3/256*a^5*arcsinh(b*x/sqrt(a*b))/b^(5/2)","A",0
398,1,85,0,1.341971," ","integrate(x^2*(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}} x}{8 \, b} - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}} a x}{48 \, b} - \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} x}{192 \, b} - \frac{5 \, \sqrt{b x^{2} + a} a^{3} x}{128 \, b} - \frac{5 \, a^{4} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{128 \, b^{\frac{3}{2}}}"," ",0,"1/8*(b*x^2 + a)^(7/2)*x/b - 1/48*(b*x^2 + a)^(5/2)*a*x/b - 5/192*(b*x^2 + a)^(3/2)*a^2*x/b - 5/128*sqrt(b*x^2 + a)*a^3*x/b - 5/128*a^4*arcsinh(b*x/sqrt(a*b))/b^(3/2)","A",0
399,1,58,0,1.321923," ","integrate((b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} x + \frac{5}{24} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a x + \frac{5}{16} \, \sqrt{b x^{2} + a} a^{2} x + \frac{5 \, a^{3} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{16 \, \sqrt{b}}"," ",0,"1/6*(b*x^2 + a)^(5/2)*x + 5/24*(b*x^2 + a)^(3/2)*a*x + 5/16*sqrt(b*x^2 + a)*a^2*x + 5/16*a^3*arcsinh(b*x/sqrt(a*b))/sqrt(b)","A",0
400,1,59,0,1.323009," ","integrate((b*x^2+a)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{5}{4} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b x + \frac{15}{8} \, \sqrt{b x^{2} + a} a b x + \frac{15}{8} \, a^{2} \sqrt{b} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{x}"," ",0,"5/4*(b*x^2 + a)^(3/2)*b*x + 15/8*sqrt(b*x^2 + a)*a*b*x + 15/8*a^2*sqrt(b)*arcsinh(b*x/sqrt(a*b)) - (b*x^2 + a)^(5/2)/x","A",0
401,1,84,0,1.321318," ","integrate((b*x^2+a)^(5/2)/x^4,x, algorithm=""maxima"")","\frac{5}{2} \, \sqrt{b x^{2} + a} b^{2} x + \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2} x}{3 \, a} + \frac{5}{2} \, a b^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b}{3 \, a x} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{3 \, a x^{3}}"," ",0,"5/2*sqrt(b*x^2 + a)*b^2*x + 5/3*(b*x^2 + a)^(3/2)*b^2*x/a + 5/2*a*b^(3/2)*arcsinh(b*x/sqrt(a*b)) - 4/3*(b*x^2 + a)^(5/2)*b/(a*x) - 1/3*(b*x^2 + a)^(7/2)/(a*x^3)","A",0
402,1,104,0,1.401267," ","integrate((b*x^2+a)^(5/2)/x^6,x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3} x}{3 \, a^{2}} + \frac{\sqrt{b x^{2} + a} b^{3} x}{a} + b^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}}{15 \, a^{2} x} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{15 \, a^{2} x^{3}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{5 \, a x^{5}}"," ",0,"2/3*(b*x^2 + a)^(3/2)*b^3*x/a^2 + sqrt(b*x^2 + a)*b^3*x/a + b^(5/2)*arcsinh(b*x/sqrt(a*b)) - 8/15*(b*x^2 + a)^(5/2)*b^2/(a^2*x) - 2/15*(b*x^2 + a)^(7/2)*b/(a^2*x^3) - 1/5*(b*x^2 + a)^(7/2)/(a*x^5)","A",0
403,1,17,0,1.408863," ","integrate((b*x^2+a)^(5/2)/x^8,x, algorithm=""maxima"")","-\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{7 \, a x^{7}}"," ",0,"-1/7*(b*x^2 + a)^(7/2)/(a*x^7)","A",0
404,1,36,0,1.528040," ","integrate((b*x^2+a)^(5/2)/x^10,x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{63 \, a^{2} x^{7}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{9 \, a x^{9}}"," ",0,"2/63*(b*x^2 + a)^(7/2)*b/(a^2*x^7) - 1/9*(b*x^2 + a)^(7/2)/(a*x^9)","A",0
405,1,56,0,1.413786," ","integrate((b*x^2+a)^(5/2)/x^12,x, algorithm=""maxima"")","-\frac{8 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{693 \, a^{3} x^{7}} + \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{99 \, a^{2} x^{9}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{11 \, a x^{11}}"," ",0,"-8/693*(b*x^2 + a)^(7/2)*b^2/(a^3*x^7) + 4/99*(b*x^2 + a)^(7/2)*b/(a^2*x^9) - 1/11*(b*x^2 + a)^(7/2)/(a*x^11)","A",0
406,1,76,0,1.389592," ","integrate((b*x^2+a)^(5/2)/x^14,x, algorithm=""maxima"")","\frac{16 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}{3003 \, a^{4} x^{7}} - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{429 \, a^{3} x^{9}} + \frac{6 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{143 \, a^{2} x^{11}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{13 \, a x^{13}}"," ",0,"16/3003*(b*x^2 + a)^(7/2)*b^3/(a^4*x^7) - 8/429*(b*x^2 + a)^(7/2)*b^2/(a^3*x^9) + 6/143*(b*x^2 + a)^(7/2)*b/(a^2*x^11) - 1/13*(b*x^2 + a)^(7/2)/(a*x^13)","A",0
407,1,96,0,1.446646," ","integrate((b*x^2+a)^(5/2)/x^16,x, algorithm=""maxima"")","-\frac{128 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}{45045 \, a^{5} x^{7}} + \frac{64 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}{6435 \, a^{4} x^{9}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{715 \, a^{3} x^{11}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{195 \, a^{2} x^{13}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{15 \, a x^{15}}"," ",0,"-128/45045*(b*x^2 + a)^(7/2)*b^4/(a^5*x^7) + 64/6435*(b*x^2 + a)^(7/2)*b^3/(a^4*x^9) - 16/715*(b*x^2 + a)^(7/2)*b^2/(a^3*x^11) + 8/195*(b*x^2 + a)^(7/2)*b/(a^2*x^13) - 1/15*(b*x^2 + a)^(7/2)/(a*x^15)","A",0
408,1,116,0,1.536317," ","integrate((b*x^2+a)^(5/2)/x^18,x, algorithm=""maxima"")","\frac{256 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5}}{153153 \, a^{6} x^{7}} - \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}{21879 \, a^{5} x^{9}} + \frac{32 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}{2431 \, a^{4} x^{11}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{663 \, a^{3} x^{13}} + \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}{51 \, a^{2} x^{15}} - \frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{17 \, a x^{17}}"," ",0,"256/153153*(b*x^2 + a)^(7/2)*b^5/(a^6*x^7) - 128/21879*(b*x^2 + a)^(7/2)*b^4/(a^5*x^9) + 32/2431*(b*x^2 + a)^(7/2)*b^3/(a^4*x^11) - 16/663*(b*x^2 + a)^(7/2)*b^2/(a^3*x^13) + 2/51*(b*x^2 + a)^(7/2)*b/(a^2*x^15) - 1/17*(b*x^2 + a)^(7/2)/(a*x^17)","A",0
409,1,153,0,1.469703," ","integrate(x^15*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{14}}{25 \, b} - \frac{14 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a x^{12}}{575 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2} x^{10}}{575 \, b^{3}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{3} x^{8}}{2185 \, b^{4}} + \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{4} x^{6}}{37145 \, b^{5}} - \frac{256 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{5} x^{4}}{185725 \, b^{6}} + \frac{1024 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{6} x^{2}}{2414425 \, b^{7}} - \frac{2048 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{7}}{26558675 \, b^{8}}"," ",0,"1/25*(b*x^2 + a)^(11/2)*x^14/b - 14/575*(b*x^2 + a)^(11/2)*a*x^12/b^2 + 8/575*(b*x^2 + a)^(11/2)*a^2*x^10/b^3 - 16/2185*(b*x^2 + a)^(11/2)*a^3*x^8/b^4 + 128/37145*(b*x^2 + a)^(11/2)*a^4*x^6/b^5 - 256/185725*(b*x^2 + a)^(11/2)*a^5*x^4/b^6 + 1024/2414425*(b*x^2 + a)^(11/2)*a^6*x^2/b^7 - 2048/26558675*(b*x^2 + a)^(11/2)*a^7/b^8","A",0
410,1,133,0,1.453123," ","integrate(x^13*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{12}}{23 \, b} - \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a x^{10}}{161 \, b^{2}} + \frac{40 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2} x^{8}}{3059 \, b^{3}} - \frac{320 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{3} x^{6}}{52003 \, b^{4}} + \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{4} x^{4}}{52003 \, b^{5}} - \frac{512 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{5} x^{2}}{676039 \, b^{6}} + \frac{1024 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{6}}{7436429 \, b^{7}}"," ",0,"1/23*(b*x^2 + a)^(11/2)*x^12/b - 4/161*(b*x^2 + a)^(11/2)*a*x^10/b^2 + 40/3059*(b*x^2 + a)^(11/2)*a^2*x^8/b^3 - 320/52003*(b*x^2 + a)^(11/2)*a^3*x^6/b^4 + 128/52003*(b*x^2 + a)^(11/2)*a^4*x^4/b^5 - 512/676039*(b*x^2 + a)^(11/2)*a^5*x^2/b^6 + 1024/7436429*(b*x^2 + a)^(11/2)*a^6/b^7","A",0
411,1,113,0,1.482021," ","integrate(x^11*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{10}}{21 \, b} - \frac{10 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a x^{8}}{399 \, b^{2}} + \frac{80 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2} x^{6}}{6783 \, b^{3}} - \frac{32 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{3} x^{4}}{6783 \, b^{4}} + \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{4} x^{2}}{88179 \, b^{5}} - \frac{256 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{5}}{969969 \, b^{6}}"," ",0,"1/21*(b*x^2 + a)^(11/2)*x^10/b - 10/399*(b*x^2 + a)^(11/2)*a*x^8/b^2 + 80/6783*(b*x^2 + a)^(11/2)*a^2*x^6/b^3 - 32/6783*(b*x^2 + a)^(11/2)*a^3*x^4/b^4 + 128/88179*(b*x^2 + a)^(11/2)*a^4*x^2/b^5 - 256/969969*(b*x^2 + a)^(11/2)*a^5/b^6","A",0
412,1,93,0,1.428672," ","integrate(x^9*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{8}}{19 \, b} - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a x^{6}}{323 \, b^{2}} + \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2} x^{4}}{1615 \, b^{3}} - \frac{64 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{3} x^{2}}{20995 \, b^{4}} + \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{4}}{230945 \, b^{5}}"," ",0,"1/19*(b*x^2 + a)^(11/2)*x^8/b - 8/323*(b*x^2 + a)^(11/2)*a*x^6/b^2 + 16/1615*(b*x^2 + a)^(11/2)*a^2*x^4/b^3 - 64/20995*(b*x^2 + a)^(11/2)*a^3*x^2/b^4 + 128/230945*(b*x^2 + a)^(11/2)*a^4/b^5","A",0
413,1,73,0,1.418785," ","integrate(x^7*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{6}}{17 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a x^{4}}{85 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2} x^{2}}{1105 \, b^{3}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{3}}{12155 \, b^{4}}"," ",0,"1/17*(b*x^2 + a)^(11/2)*x^6/b - 2/85*(b*x^2 + a)^(11/2)*a*x^4/b^2 + 8/1105*(b*x^2 + a)^(11/2)*a^2*x^2/b^3 - 16/12155*(b*x^2 + a)^(11/2)*a^3/b^4","A",0
414,1,53,0,1.388368," ","integrate(x^5*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{4}}{15 \, b} - \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a x^{2}}{195 \, b^{2}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2}}{2145 \, b^{3}}"," ",0,"1/15*(b*x^2 + a)^(11/2)*x^4/b - 4/195*(b*x^2 + a)^(11/2)*a*x^2/b^2 + 8/2145*(b*x^2 + a)^(11/2)*a^2/b^3","A",0
415,1,33,0,1.294485," ","integrate(x^3*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{2}}{13 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a}{143 \, b^{2}}"," ",0,"1/13*(b*x^2 + a)^(11/2)*x^2/b - 2/143*(b*x^2 + a)^(11/2)*a/b^2","A",0
416,1,14,0,1.321188," ","integrate(x*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{11 \, b}"," ",0,"1/11*(b*x^2 + a)^(11/2)/b","A",0
417,1,82,0,1.401721," ","integrate((b*x^2+a)^(9/2)/x,x, algorithm=""maxima"")","-a^{\frac{9}{2}} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{1}{9} \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} + \frac{1}{7} \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a + \frac{1}{5} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} + \frac{1}{3} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} + \sqrt{b x^{2} + a} a^{4}"," ",0,"-a^(9/2)*arcsinh(a/(sqrt(a*b)*abs(x))) + 1/9*(b*x^2 + a)^(9/2) + 1/7*(b*x^2 + a)^(7/2)*a + 1/5*(b*x^2 + a)^(5/2)*a^2 + 1/3*(b*x^2 + a)^(3/2)*a^3 + sqrt(b*x^2 + a)*a^4","A",0
418,1,106,0,1.431691," ","integrate((b*x^2+a)^(9/2)/x^3,x, algorithm=""maxima"")","-\frac{9}{2} \, a^{\frac{7}{2}} b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{9}{14} \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b + \frac{{\left(b x^{2} + a\right)}^{\frac{9}{2}} b}{2 \, a} + \frac{9}{10} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a b + \frac{3}{2} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} b + \frac{9}{2} \, \sqrt{b x^{2} + a} a^{3} b - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{2 \, a x^{2}}"," ",0,"-9/2*a^(7/2)*b*arcsinh(a/(sqrt(a*b)*abs(x))) + 9/14*(b*x^2 + a)^(7/2)*b + 1/2*(b*x^2 + a)^(9/2)*b/a + 9/10*(b*x^2 + a)^(5/2)*a*b + 3/2*(b*x^2 + a)^(3/2)*a^2*b + 9/2*sqrt(b*x^2 + a)*a^3*b - 1/2*(b*x^2 + a)^(11/2)/(a*x^2)","A",0
419,1,136,0,1.455938," ","integrate((b*x^2+a)^(9/2)/x^5,x, algorithm=""maxima"")","-\frac{63}{8} \, a^{\frac{5}{2}} b^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{63}{40} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2} + \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{2}}{8 \, a^{2}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}{8 \, a} + \frac{21}{8} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{2} + \frac{63}{8} \, \sqrt{b x^{2} + a} a^{2} b^{2} - \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{8 \, a^{2} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{4 \, a x^{4}}"," ",0,"-63/8*a^(5/2)*b^2*arcsinh(a/(sqrt(a*b)*abs(x))) + 63/40*(b*x^2 + a)^(5/2)*b^2 + 7/8*(b*x^2 + a)^(9/2)*b^2/a^2 + 9/8*(b*x^2 + a)^(7/2)*b^2/a + 21/8*(b*x^2 + a)^(3/2)*a*b^2 + 63/8*sqrt(b*x^2 + a)*a^2*b^2 - 7/8*(b*x^2 + a)^(11/2)*b/(a^2*x^2) - 1/4*(b*x^2 + a)^(11/2)/(a*x^4)","A",0
420,1,156,0,1.470623," ","integrate((b*x^2+a)^(9/2)/x^7,x, algorithm=""maxima"")","-\frac{105}{16} \, a^{\frac{3}{2}} b^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{35}{16} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3} + \frac{35 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{3}}{48 \, a^{3}} + \frac{15 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}{16 \, a^{2}} + \frac{21 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}}{16 \, a} + \frac{105}{16} \, \sqrt{b x^{2} + a} a b^{3} - \frac{35 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{48 \, a^{3} x^{2}} - \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{24 \, a^{2} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{6 \, a x^{6}}"," ",0,"-105/16*a^(3/2)*b^3*arcsinh(a/(sqrt(a*b)*abs(x))) + 35/16*(b*x^2 + a)^(3/2)*b^3 + 35/48*(b*x^2 + a)^(9/2)*b^3/a^3 + 15/16*(b*x^2 + a)^(7/2)*b^3/a^2 + 21/16*(b*x^2 + a)^(5/2)*b^3/a + 105/16*sqrt(b*x^2 + a)*a*b^3 - 35/48*(b*x^2 + a)^(11/2)*b^2/(a^3*x^2) - 5/24*(b*x^2 + a)^(11/2)*b/(a^2*x^4) - 1/6*(b*x^2 + a)^(11/2)/(a*x^6)","A",0
421,1,178,0,1.451839," ","integrate((b*x^2+a)^(9/2)/x^9,x, algorithm=""maxima"")","-\frac{315}{128} \, \sqrt{a} b^{4} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \frac{315}{128} \, \sqrt{b x^{2} + a} b^{4} + \frac{35 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{4}}{128 \, a^{4}} + \frac{45 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}{128 \, a^{3}} + \frac{63 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4}}{128 \, a^{2}} + \frac{105 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{4}}{128 \, a} - \frac{35 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{128 \, a^{4} x^{2}} - \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{64 \, a^{3} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{16 \, a^{2} x^{6}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{8 \, a x^{8}}"," ",0,"-315/128*sqrt(a)*b^4*arcsinh(a/(sqrt(a*b)*abs(x))) + 315/128*sqrt(b*x^2 + a)*b^4 + 35/128*(b*x^2 + a)^(9/2)*b^4/a^4 + 45/128*(b*x^2 + a)^(7/2)*b^4/a^3 + 63/128*(b*x^2 + a)^(5/2)*b^4/a^2 + 105/128*(b*x^2 + a)^(3/2)*b^4/a - 35/128*(b*x^2 + a)^(11/2)*b^3/(a^4*x^2) - 5/64*(b*x^2 + a)^(11/2)*b^2/(a^3*x^4) - 1/16*(b*x^2 + a)^(11/2)*b/(a^2*x^6) - 1/8*(b*x^2 + a)^(11/2)/(a*x^8)","A",0
422,1,201,0,1.479617," ","integrate((b*x^2+a)^(9/2)/x^11,x, algorithm=""maxima"")","-\frac{63 \, b^{5} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{256 \, \sqrt{a}} + \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{5}}{256 \, a^{5}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5}}{256 \, a^{4}} + \frac{63 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{5}}{1280 \, a^{3}} + \frac{21 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{5}}{256 \, a^{2}} + \frac{63 \, \sqrt{b x^{2} + a} b^{5}}{256 \, a} - \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{4}}{256 \, a^{5} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{128 \, a^{4} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{160 \, a^{3} x^{6}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{80 \, a^{2} x^{8}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{10 \, a x^{10}}"," ",0,"-63/256*b^5*arcsinh(a/(sqrt(a*b)*abs(x)))/sqrt(a) + 7/256*(b*x^2 + a)^(9/2)*b^5/a^5 + 9/256*(b*x^2 + a)^(7/2)*b^5/a^4 + 63/1280*(b*x^2 + a)^(5/2)*b^5/a^3 + 21/256*(b*x^2 + a)^(3/2)*b^5/a^2 + 63/256*sqrt(b*x^2 + a)*b^5/a - 7/256*(b*x^2 + a)^(11/2)*b^4/(a^5*x^2) - 1/128*(b*x^2 + a)^(11/2)*b^3/(a^4*x^4) - 1/160*(b*x^2 + a)^(11/2)*b^2/(a^3*x^6) - 1/80*(b*x^2 + a)^(11/2)*b/(a^2*x^8) - 1/10*(b*x^2 + a)^(11/2)/(a*x^10)","A",0
423,1,221,0,1.506907," ","integrate((b*x^2+a)^(9/2)/x^13,x, algorithm=""maxima"")","\frac{21 \, b^{6} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{1024 \, a^{\frac{3}{2}}} - \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{6}}{3072 \, a^{6}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{6}}{1024 \, a^{5}} - \frac{21 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{6}}{5120 \, a^{4}} - \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{6}}{1024 \, a^{3}} - \frac{21 \, \sqrt{b x^{2} + a} b^{6}}{1024 \, a^{2}} + \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{5}}{3072 \, a^{6} x^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{4}}{1536 \, a^{5} x^{4}} + \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{1920 \, a^{4} x^{6}} + \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{960 \, a^{3} x^{8}} + \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{120 \, a^{2} x^{10}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{12 \, a x^{12}}"," ",0,"21/1024*b^6*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(3/2) - 7/3072*(b*x^2 + a)^(9/2)*b^6/a^6 - 3/1024*(b*x^2 + a)^(7/2)*b^6/a^5 - 21/5120*(b*x^2 + a)^(5/2)*b^6/a^4 - 7/1024*(b*x^2 + a)^(3/2)*b^6/a^3 - 21/1024*sqrt(b*x^2 + a)*b^6/a^2 + 7/3072*(b*x^2 + a)^(11/2)*b^5/(a^6*x^2) + 1/1536*(b*x^2 + a)^(11/2)*b^4/(a^5*x^4) + 1/1920*(b*x^2 + a)^(11/2)*b^3/(a^4*x^6) + 1/960*(b*x^2 + a)^(11/2)*b^2/(a^3*x^8) + 1/120*(b*x^2 + a)^(11/2)*b/(a^2*x^10) - 1/12*(b*x^2 + a)^(11/2)/(a*x^12)","A",0
424,1,241,0,1.505196," ","integrate((b*x^2+a)^(9/2)/x^15,x, algorithm=""maxima"")","-\frac{9 \, b^{7} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{2048 \, a^{\frac{5}{2}}} + \frac{{\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{7}}{2048 \, a^{7}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{7}}{14336 \, a^{6}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{7}}{10240 \, a^{5}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{7}}{2048 \, a^{4}} + \frac{9 \, \sqrt{b x^{2} + a} b^{7}}{2048 \, a^{3}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{6}}{2048 \, a^{7} x^{2}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{5}}{7168 \, a^{6} x^{4}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{4}}{8960 \, a^{5} x^{6}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{4480 \, a^{4} x^{8}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{560 \, a^{3} x^{10}} + \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{56 \, a^{2} x^{12}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{14 \, a x^{14}}"," ",0,"-9/2048*b^7*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(5/2) + 1/2048*(b*x^2 + a)^(9/2)*b^7/a^7 + 9/14336*(b*x^2 + a)^(7/2)*b^7/a^6 + 9/10240*(b*x^2 + a)^(5/2)*b^7/a^5 + 3/2048*(b*x^2 + a)^(3/2)*b^7/a^4 + 9/2048*sqrt(b*x^2 + a)*b^7/a^3 - 1/2048*(b*x^2 + a)^(11/2)*b^6/(a^7*x^2) - 1/7168*(b*x^2 + a)^(11/2)*b^5/(a^6*x^4) - 1/8960*(b*x^2 + a)^(11/2)*b^4/(a^5*x^6) - 1/4480*(b*x^2 + a)^(11/2)*b^3/(a^4*x^8) - 1/560*(b*x^2 + a)^(11/2)*b^2/(a^3*x^10) + 1/56*(b*x^2 + a)^(11/2)*b/(a^2*x^12) - 1/14*(b*x^2 + a)^(11/2)/(a*x^14)","A",0
425,1,161,0,1.460875," ","integrate(x^6*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{5}}{16 \, b} - \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a x^{3}}{224 \, b^{2}} + \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2} x}{896 \, b^{3}} - \frac{{\left(b x^{2} + a\right)}^{\frac{9}{2}} a^{3} x}{1792 \, b^{3}} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{4} x}{14336 \, b^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{5} x}{4096 \, b^{3}} - \frac{15 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{6} x}{16384 \, b^{3}} - \frac{45 \, \sqrt{b x^{2} + a} a^{7} x}{32768 \, b^{3}} - \frac{45 \, a^{8} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{32768 \, b^{\frac{7}{2}}}"," ",0,"1/16*(b*x^2 + a)^(11/2)*x^5/b - 5/224*(b*x^2 + a)^(11/2)*a*x^3/b^2 + 5/896*(b*x^2 + a)^(11/2)*a^2*x/b^3 - 1/1792*(b*x^2 + a)^(9/2)*a^3*x/b^3 - 9/14336*(b*x^2 + a)^(7/2)*a^4*x/b^3 - 3/4096*(b*x^2 + a)^(5/2)*a^5*x/b^3 - 15/16384*(b*x^2 + a)^(3/2)*a^6*x/b^3 - 45/32768*sqrt(b*x^2 + a)*a^7*x/b^3 - 45/32768*a^8*arcsinh(b*x/sqrt(a*b))/b^(7/2)","A",0
426,1,141,0,1.399843," ","integrate(x^4*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x^{3}}{14 \, b} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} a x}{56 \, b^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{9}{2}} a^{2} x}{560 \, b^{2}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{3} x}{4480 \, b^{2}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{4} x}{1280 \, b^{2}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{5} x}{1024 \, b^{2}} + \frac{9 \, \sqrt{b x^{2} + a} a^{6} x}{2048 \, b^{2}} + \frac{9 \, a^{7} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{2048 \, b^{\frac{5}{2}}}"," ",0,"1/14*(b*x^2 + a)^(11/2)*x^3/b - 1/56*(b*x^2 + a)^(11/2)*a*x/b^2 + 1/560*(b*x^2 + a)^(9/2)*a^2*x/b^2 + 9/4480*(b*x^2 + a)^(7/2)*a^3*x/b^2 + 3/1280*(b*x^2 + a)^(5/2)*a^4*x/b^2 + 3/1024*(b*x^2 + a)^(3/2)*a^5*x/b^2 + 9/2048*sqrt(b*x^2 + a)*a^6*x/b^2 + 9/2048*a^7*arcsinh(b*x/sqrt(a*b))/b^(5/2)","A",0
427,1,121,0,1.374897," ","integrate(x^2*(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}} x}{12 \, b} - \frac{{\left(b x^{2} + a\right)}^{\frac{9}{2}} a x}{120 \, b} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2} x}{320 \, b} - \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{3} x}{640 \, b} - \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{4} x}{512 \, b} - \frac{21 \, \sqrt{b x^{2} + a} a^{5} x}{1024 \, b} - \frac{21 \, a^{6} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{1024 \, b^{\frac{3}{2}}}"," ",0,"1/12*(b*x^2 + a)^(11/2)*x/b - 1/120*(b*x^2 + a)^(9/2)*a*x/b - 3/320*(b*x^2 + a)^(7/2)*a^2*x/b - 7/640*(b*x^2 + a)^(5/2)*a^3*x/b - 7/512*(b*x^2 + a)^(3/2)*a^4*x/b - 21/1024*sqrt(b*x^2 + a)*a^5*x/b - 21/1024*a^6*arcsinh(b*x/sqrt(a*b))/b^(3/2)","A",0
428,1,88,0,1.322527," ","integrate((b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{1}{10} \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} x + \frac{9}{80} \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a x + \frac{21}{160} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} x + \frac{21}{128} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} x + \frac{63}{256} \, \sqrt{b x^{2} + a} a^{4} x + \frac{63 \, a^{5} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{256 \, \sqrt{b}}"," ",0,"1/10*(b*x^2 + a)^(9/2)*x + 9/80*(b*x^2 + a)^(7/2)*a*x + 21/160*(b*x^2 + a)^(5/2)*a^2*x + 21/128*(b*x^2 + a)^(3/2)*a^3*x + 63/256*sqrt(b*x^2 + a)*a^4*x + 63/256*a^5*arcsinh(b*x/sqrt(a*b))/sqrt(b)","A",0
429,1,91,0,1.457958," ","integrate((b*x^2+a)^(9/2)/x^2,x, algorithm=""maxima"")","\frac{9}{8} \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b x + \frac{21}{16} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a b x + \frac{105}{64} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} b x + \frac{315}{128} \, \sqrt{b x^{2} + a} a^{3} b x + \frac{315}{128} \, a^{4} \sqrt{b} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{{\left(b x^{2} + a\right)}^{\frac{9}{2}}}{x}"," ",0,"9/8*(b*x^2 + a)^(7/2)*b*x + 21/16*(b*x^2 + a)^(5/2)*a*b*x + 105/64*(b*x^2 + a)^(3/2)*a^2*b*x + 315/128*sqrt(b*x^2 + a)*a^3*b*x + 315/128*a^4*sqrt(b)*arcsinh(b*x/sqrt(a*b)) - (b*x^2 + a)^(9/2)/x","A",0
430,1,120,0,1.424776," ","integrate((b*x^2+a)^(9/2)/x^4,x, algorithm=""maxima"")","\frac{7}{2} \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2} x + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2} x}{a} + \frac{35}{8} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{2} x + \frac{105}{16} \, \sqrt{b x^{2} + a} a^{2} b^{2} x + \frac{105}{16} \, a^{3} b^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b}{3 \, a x} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{3 \, a x^{3}}"," ",0,"7/2*(b*x^2 + a)^(5/2)*b^2*x + 3*(b*x^2 + a)^(7/2)*b^2*x/a + 35/8*(b*x^2 + a)^(3/2)*a*b^2*x + 105/16*sqrt(b*x^2 + a)*a^2*b^2*x + 105/16*a^3*b^(3/2)*arcsinh(b*x/sqrt(a*b)) - 8/3*(b*x^2 + a)^(9/2)*b/(a*x) - 1/3*(b*x^2 + a)^(11/2)/(a*x^3)","A",0
431,1,140,0,1.447537," ","integrate((b*x^2+a)^(9/2)/x^6,x, algorithm=""maxima"")","\frac{21}{4} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3} x + \frac{18 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3} x}{5 \, a^{2}} + \frac{21 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3} x}{5 \, a} + \frac{63}{8} \, \sqrt{b x^{2} + a} a b^{3} x + \frac{63}{8} \, a^{2} b^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{2}}{5 \, a^{2} x} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{5 \, a^{2} x^{3}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{5 \, a x^{5}}"," ",0,"21/4*(b*x^2 + a)^(3/2)*b^3*x + 18/5*(b*x^2 + a)^(7/2)*b^3*x/a^2 + 21/5*(b*x^2 + a)^(5/2)*b^3*x/a + 63/8*sqrt(b*x^2 + a)*a*b^3*x + 63/8*a^2*b^(5/2)*arcsinh(b*x/sqrt(a*b)) - 16/5*(b*x^2 + a)^(9/2)*b^2/(a^2*x) - 2/5*(b*x^2 + a)^(11/2)*b/(a^2*x^3) - 1/5*(b*x^2 + a)^(11/2)/(a*x^5)","A",0
432,1,160,0,1.474436," ","integrate((b*x^2+a)^(9/2)/x^8,x, algorithm=""maxima"")","\frac{9}{2} \, \sqrt{b x^{2} + a} b^{4} x + \frac{72 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4} x}{35 \, a^{3}} + \frac{12 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4} x}{5 \, a^{2}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{4} x}{a} + \frac{9}{2} \, a b^{\frac{7}{2}} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{64 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{3}}{35 \, a^{3} x} - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{35 \, a^{3} x^{3}} - \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{35 \, a^{2} x^{5}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{7 \, a x^{7}}"," ",0,"9/2*sqrt(b*x^2 + a)*b^4*x + 72/35*(b*x^2 + a)^(7/2)*b^4*x/a^3 + 12/5*(b*x^2 + a)^(5/2)*b^4*x/a^2 + 3*(b*x^2 + a)^(3/2)*b^4*x/a + 9/2*a*b^(7/2)*arcsinh(b*x/sqrt(a*b)) - 64/35*(b*x^2 + a)^(9/2)*b^3/(a^3*x) - 8/35*(b*x^2 + a)^(11/2)*b^2/(a^3*x^3) - 4/35*(b*x^2 + a)^(11/2)*b/(a^2*x^5) - 1/7*(b*x^2 + a)^(11/2)/(a*x^7)","A",0
433,1,180,0,1.508998," ","integrate((b*x^2+a)^(9/2)/x^10,x, algorithm=""maxima"")","\frac{16 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5} x}{35 \, a^{4}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{5} x}{15 \, a^{3}} + \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{5} x}{3 \, a^{2}} + \frac{\sqrt{b x^{2} + a} b^{5} x}{a} + b^{\frac{9}{2}} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right) - \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{4}}{315 \, a^{4} x} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{315 \, a^{4} x^{3}} - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{315 \, a^{3} x^{5}} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{63 \, a^{2} x^{7}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{9 \, a x^{9}}"," ",0,"16/35*(b*x^2 + a)^(7/2)*b^5*x/a^4 + 8/15*(b*x^2 + a)^(5/2)*b^5*x/a^3 + 2/3*(b*x^2 + a)^(3/2)*b^5*x/a^2 + sqrt(b*x^2 + a)*b^5*x/a + b^(9/2)*arcsinh(b*x/sqrt(a*b)) - 128/315*(b*x^2 + a)^(9/2)*b^4/(a^4*x) - 16/315*(b*x^2 + a)^(11/2)*b^3/(a^4*x^3) - 8/315*(b*x^2 + a)^(11/2)*b^2/(a^3*x^5) - 2/63*(b*x^2 + a)^(11/2)*b/(a^2*x^7) - 1/9*(b*x^2 + a)^(11/2)/(a*x^9)","A",0
434,1,17,0,1.495141," ","integrate((b*x^2+a)^(9/2)/x^12,x, algorithm=""maxima"")","-\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{11 \, a x^{11}}"," ",0,"-1/11*(b*x^2 + a)^(11/2)/(a*x^11)","A",0
435,1,36,0,1.565932," ","integrate((b*x^2+a)^(9/2)/x^14,x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{143 \, a^{2} x^{11}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{13 \, a x^{13}}"," ",0,"2/143*(b*x^2 + a)^(11/2)*b/(a^2*x^11) - 1/13*(b*x^2 + a)^(11/2)/(a*x^13)","A",0
436,1,56,0,1.512807," ","integrate((b*x^2+a)^(9/2)/x^16,x, algorithm=""maxima"")","-\frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{2145 \, a^{3} x^{11}} + \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{195 \, a^{2} x^{13}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{15 \, a x^{15}}"," ",0,"-8/2145*(b*x^2 + a)^(11/2)*b^2/(a^3*x^11) + 4/195*(b*x^2 + a)^(11/2)*b/(a^2*x^13) - 1/15*(b*x^2 + a)^(11/2)/(a*x^15)","A",0
437,1,76,0,1.551326," ","integrate((b*x^2+a)^(9/2)/x^18,x, algorithm=""maxima"")","\frac{16 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{12155 \, a^{4} x^{11}} - \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{1105 \, a^{3} x^{13}} + \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{85 \, a^{2} x^{15}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{17 \, a x^{17}}"," ",0,"16/12155*(b*x^2 + a)^(11/2)*b^3/(a^4*x^11) - 8/1105*(b*x^2 + a)^(11/2)*b^2/(a^3*x^13) + 2/85*(b*x^2 + a)^(11/2)*b/(a^2*x^15) - 1/17*(b*x^2 + a)^(11/2)/(a*x^17)","A",0
438,1,96,0,1.565357," ","integrate((b*x^2+a)^(9/2)/x^20,x, algorithm=""maxima"")","-\frac{128 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{4}}{230945 \, a^{5} x^{11}} + \frac{64 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{20995 \, a^{4} x^{13}} - \frac{16 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{1615 \, a^{3} x^{15}} + \frac{8 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{323 \, a^{2} x^{17}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{19 \, a x^{19}}"," ",0,"-128/230945*(b*x^2 + a)^(11/2)*b^4/(a^5*x^11) + 64/20995*(b*x^2 + a)^(11/2)*b^3/(a^4*x^13) - 16/1615*(b*x^2 + a)^(11/2)*b^2/(a^3*x^15) + 8/323*(b*x^2 + a)^(11/2)*b/(a^2*x^17) - 1/19*(b*x^2 + a)^(11/2)/(a*x^19)","A",0
439,1,116,0,1.531951," ","integrate((b*x^2+a)^(9/2)/x^22,x, algorithm=""maxima"")","\frac{256 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{5}}{969969 \, a^{6} x^{11}} - \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{4}}{88179 \, a^{5} x^{13}} + \frac{32 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{6783 \, a^{4} x^{15}} - \frac{80 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{6783 \, a^{3} x^{17}} + \frac{10 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{399 \, a^{2} x^{19}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{21 \, a x^{21}}"," ",0,"256/969969*(b*x^2 + a)^(11/2)*b^5/(a^6*x^11) - 128/88179*(b*x^2 + a)^(11/2)*b^4/(a^5*x^13) + 32/6783*(b*x^2 + a)^(11/2)*b^3/(a^4*x^15) - 80/6783*(b*x^2 + a)^(11/2)*b^2/(a^3*x^17) + 10/399*(b*x^2 + a)^(11/2)*b/(a^2*x^19) - 1/21*(b*x^2 + a)^(11/2)/(a*x^21)","A",0
440,1,136,0,1.588622," ","integrate((b*x^2+a)^(9/2)/x^24,x, algorithm=""maxima"")","-\frac{1024 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{6}}{7436429 \, a^{7} x^{11}} + \frac{512 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{5}}{676039 \, a^{6} x^{13}} - \frac{128 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{4}}{52003 \, a^{5} x^{15}} + \frac{320 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{3}}{52003 \, a^{4} x^{17}} - \frac{40 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{2}}{3059 \, a^{3} x^{19}} + \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b}{161 \, a^{2} x^{21}} - \frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{23 \, a x^{23}}"," ",0,"-1024/7436429*(b*x^2 + a)^(11/2)*b^6/(a^7*x^11) + 512/676039*(b*x^2 + a)^(11/2)*b^5/(a^6*x^13) - 128/52003*(b*x^2 + a)^(11/2)*b^4/(a^5*x^15) + 320/52003*(b*x^2 + a)^(11/2)*b^3/(a^4*x^17) - 40/3059*(b*x^2 + a)^(11/2)*b^2/(a^3*x^19) + 4/161*(b*x^2 + a)^(11/2)*b/(a^2*x^21) - 1/23*(b*x^2 + a)^(11/2)/(a*x^23)","A",0
441,1,40,0,2.974789," ","integrate(x^5*(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{28} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{4} - \frac{9}{140} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{2} + \frac{27}{280} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/28*(4*x^2 + 9)^(3/2)*x^4 - 9/140*(4*x^2 + 9)^(3/2)*x^2 + 27/280*(4*x^2 + 9)^(3/2)","A",0
442,1,45,0,2.935281," ","integrate(x^4*(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{3} - \frac{9}{128} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} x + \frac{81}{256} \, \sqrt{4 \, x^{2} + 9} x + \frac{729}{512} \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/24*(4*x^2 + 9)^(3/2)*x^3 - 9/128*(4*x^2 + 9)^(3/2)*x + 81/256*sqrt(4*x^2 + 9)*x + 729/512*arcsinh(2/3*x)","A",0
443,1,26,0,2.964352," ","integrate(x^3*(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{20} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{2} - \frac{3}{40} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/20*(4*x^2 + 9)^(3/2)*x^2 - 3/40*(4*x^2 + 9)^(3/2)","A",0
444,1,31,0,2.966956," ","integrate(x^2*(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} x - \frac{9}{32} \, \sqrt{4 \, x^{2} + 9} x - \frac{81}{64} \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/16*(4*x^2 + 9)^(3/2)*x - 9/32*sqrt(4*x^2 + 9)*x - 81/64*arcsinh(2/3*x)","A",0
445,1,11,0,1.314586," ","integrate(x*(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/12*(4*x^2 + 9)^(3/2)","A",0
446,1,19,0,2.979800," ","integrate((4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{4 \, x^{2} + 9} x + \frac{9}{4} \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/2*sqrt(4*x^2 + 9)*x + 9/4*arcsinh(2/3*x)","A",0
447,1,19,0,2.938890," ","integrate((4*x^2+9)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{4 \, x^{2} + 9} - 3 \, \operatorname{arsinh}\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"sqrt(4*x^2 + 9) - 3*arcsinh(3/2/abs(x))","A",0
448,1,21,0,2.937617," ","integrate((4*x^2+9)^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{4 \, x^{2} + 9}}{x} + 2 \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"-sqrt(4*x^2 + 9)/x + 2*arcsinh(2/3*x)","A",0
449,1,35,0,2.810468," ","integrate((4*x^2+9)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{4 \, x^{2} + 9} - \frac{{\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}}{18 \, x^{2}} - \frac{2}{3} \, \operatorname{arsinh}\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"2/9*sqrt(4*x^2 + 9) - 1/18*(4*x^2 + 9)^(3/2)/x^2 - 2/3*arcsinh(3/2/abs(x))","A",0
450,1,14,0,2.937495," ","integrate((4*x^2+9)^(1/2)/x^4,x, algorithm=""maxima"")","-\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
451,1,49,0,3.011647," ","integrate((4*x^2+9)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{2}{81} \, \sqrt{4 \, x^{2} + 9} + \frac{{\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}}{162 \, x^{2}} - \frac{{\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}}{36 \, x^{4}} + \frac{2}{27} \, \operatorname{arsinh}\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"-2/81*sqrt(4*x^2 + 9) + 1/162*(4*x^2 + 9)^(3/2)/x^2 - 1/36*(4*x^2 + 9)^(3/2)/x^4 + 2/27*arcsinh(3/2/abs(x))","A",0
452,1,40,0,2.911848," ","integrate(x^5*(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{28} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{4} - \frac{9}{140} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{2} - \frac{27}{280} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"-1/28*(-4*x^2 + 9)^(3/2)*x^4 - 9/140*(-4*x^2 + 9)^(3/2)*x^2 - 27/280*(-4*x^2 + 9)^(3/2)","A",0
453,1,45,0,3.000364," ","integrate(x^4*(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{24} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{3} - \frac{9}{128} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} x + \frac{81}{256} \, \sqrt{-4 \, x^{2} + 9} x + \frac{729}{512} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"-1/24*(-4*x^2 + 9)^(3/2)*x^3 - 9/128*(-4*x^2 + 9)^(3/2)*x + 81/256*sqrt(-4*x^2 + 9)*x + 729/512*arcsin(2/3*x)","A",0
454,1,26,0,2.967605," ","integrate(x^3*(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{20} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} x^{2} - \frac{3}{40} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"-1/20*(-4*x^2 + 9)^(3/2)*x^2 - 3/40*(-4*x^2 + 9)^(3/2)","A",0
455,1,31,0,2.951591," ","integrate(x^2*(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} x + \frac{9}{32} \, \sqrt{-4 \, x^{2} + 9} x + \frac{81}{64} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"-1/16*(-4*x^2 + 9)^(3/2)*x + 9/32*sqrt(-4*x^2 + 9)*x + 81/64*arcsin(2/3*x)","A",0
456,1,11,0,1.276601," ","integrate(x*(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"-1/12*(-4*x^2 + 9)^(3/2)","A",0
457,1,19,0,2.942841," ","integrate((-4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} + 9} x + \frac{9}{4} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"1/2*sqrt(-4*x^2 + 9)*x + 9/4*arcsin(2/3*x)","A",0
458,1,35,0,2.864962," ","integrate((-4*x^2+9)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{-4 \, x^{2} + 9} - 3 \, \log\left(\frac{6 \, \sqrt{-4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"sqrt(-4*x^2 + 9) - 3*log(6*sqrt(-4*x^2 + 9)/abs(x) + 18/abs(x))","A",0
459,1,21,0,2.922885," ","integrate((-4*x^2+9)^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{-4 \, x^{2} + 9}}{x} - 2 \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"-sqrt(-4*x^2 + 9)/x - 2*arcsin(2/3*x)","A",0
460,1,51,0,2.993081," ","integrate((-4*x^2+9)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{-4 \, x^{2} + 9} - \frac{{\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}}{18 \, x^{2}} + \frac{2}{3} \, \log\left(\frac{6 \, \sqrt{-4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-2/9*sqrt(-4*x^2 + 9) - 1/18*(-4*x^2 + 9)^(3/2)/x^2 + 2/3*log(6*sqrt(-4*x^2 + 9)/abs(x) + 18/abs(x))","A",0
461,1,14,0,2.897050," ","integrate((-4*x^2+9)^(1/2)/x^4,x, algorithm=""maxima"")","-\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
462,1,65,0,3.018084," ","integrate((-4*x^2+9)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{2}{81} \, \sqrt{-4 \, x^{2} + 9} - \frac{{\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}}{162 \, x^{2}} - \frac{{\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}}{36 \, x^{4}} + \frac{2}{27} \, \log\left(\frac{6 \, \sqrt{-4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-2/81*sqrt(-4*x^2 + 9) - 1/162*(-4*x^2 + 9)^(3/2)/x^2 - 1/36*(-4*x^2 + 9)^(3/2)/x^4 + 2/27*log(6*sqrt(-4*x^2 + 9)/abs(x) + 18/abs(x))","A",0
463,1,40,0,2.940630," ","integrate(x^5*(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{28} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{4} + \frac{9}{140} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{2} + \frac{27}{280} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"1/28*(4*x^2 - 9)^(3/2)*x^4 + 9/140*(4*x^2 - 9)^(3/2)*x^2 + 27/280*(4*x^2 - 9)^(3/2)","A",0
464,1,57,0,2.916050," ","integrate(x^4*(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{3} + \frac{9}{128} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} x + \frac{81}{256} \, \sqrt{4 \, x^{2} - 9} x - \frac{729}{512} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/24*(4*x^2 - 9)^(3/2)*x^3 + 9/128*(4*x^2 - 9)^(3/2)*x + 81/256*sqrt(4*x^2 - 9)*x - 729/512*log(8*x + 4*sqrt(4*x^2 - 9))","A",0
465,1,26,0,2.910916," ","integrate(x^3*(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{20} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{2} + \frac{3}{40} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"1/20*(4*x^2 - 9)^(3/2)*x^2 + 3/40*(4*x^2 - 9)^(3/2)","A",0
466,1,43,0,2.893978," ","integrate(x^2*(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} x + \frac{9}{32} \, \sqrt{4 \, x^{2} - 9} x - \frac{81}{64} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/16*(4*x^2 - 9)^(3/2)*x + 9/32*sqrt(4*x^2 - 9)*x - 81/64*log(8*x + 4*sqrt(4*x^2 - 9))","A",0
467,1,11,0,1.302549," ","integrate(x*(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"1/12*(4*x^2 - 9)^(3/2)","A",0
468,1,31,0,2.974322," ","integrate((4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{4 \, x^{2} - 9} x - \frac{9}{4} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/2*sqrt(4*x^2 - 9)*x - 9/4*log(8*x + 4*sqrt(4*x^2 - 9))","A",0
469,1,19,0,3.009029," ","integrate((4*x^2-9)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{4 \, x^{2} - 9} + 3 \, \arcsin\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"sqrt(4*x^2 - 9) + 3*arcsin(3/2/abs(x))","A",0
470,1,33,0,2.929777," ","integrate((4*x^2-9)^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{4 \, x^{2} - 9}}{x} + 2 \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"-sqrt(4*x^2 - 9)/x + 2*log(8*x + 4*sqrt(4*x^2 - 9))","A",0
471,1,35,0,2.958560," ","integrate((4*x^2-9)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{4 \, x^{2} - 9} + \frac{{\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{18 \, x^{2}} - \frac{2}{3} \, \arcsin\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"-2/9*sqrt(4*x^2 - 9) + 1/18*(4*x^2 - 9)^(3/2)/x^2 - 2/3*arcsin(3/2/abs(x))","A",0
472,1,14,0,3.014310," ","integrate((4*x^2-9)^(1/2)/x^4,x, algorithm=""maxima"")","\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
473,1,49,0,2.955058," ","integrate((4*x^2-9)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{2}{81} \, \sqrt{4 \, x^{2} - 9} + \frac{{\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{162 \, x^{2}} + \frac{{\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{36 \, x^{4}} - \frac{2}{27} \, \arcsin\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"-2/81*sqrt(4*x^2 - 9) + 1/162*(4*x^2 - 9)^(3/2)/x^2 + 1/36*(4*x^2 - 9)^(3/2)/x^4 - 2/27*arcsin(3/2/abs(x))","A",0
474,1,40,0,2.948236," ","integrate(x^5*(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{28} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{4} + \frac{9}{140} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{2} - \frac{27}{280} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"-1/28*(-4*x^2 - 9)^(3/2)*x^4 + 9/140*(-4*x^2 - 9)^(3/2)*x^2 - 27/280*(-4*x^2 - 9)^(3/2)","A",0
475,1,45,0,2.939096," ","integrate(x^4*(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{24} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{3} + \frac{9}{128} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}} x + \frac{81}{256} \, \sqrt{-4 \, x^{2} - 9} x + \frac{729}{512} i \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"-1/24*(-4*x^2 - 9)^(3/2)*x^3 + 9/128*(-4*x^2 - 9)^(3/2)*x + 81/256*sqrt(-4*x^2 - 9)*x + 729/512*I*arcsinh(2/3*x)","C",0
476,1,26,0,3.031698," ","integrate(x^3*(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{20} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}} x^{2} + \frac{3}{40} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"-1/20*(-4*x^2 - 9)^(3/2)*x^2 + 3/40*(-4*x^2 - 9)^(3/2)","A",0
477,1,31,0,2.981991," ","integrate(x^2*(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}} x - \frac{9}{32} \, \sqrt{-4 \, x^{2} - 9} x - \frac{81}{64} i \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"-1/16*(-4*x^2 - 9)^(3/2)*x - 9/32*sqrt(-4*x^2 - 9)*x - 81/64*I*arcsinh(2/3*x)","C",0
478,1,11,0,1.307923," ","integrate(x*(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"-1/12*(-4*x^2 - 9)^(3/2)","A",0
479,1,19,0,2.991662," ","integrate((-4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} - 9} x + \frac{9}{4} i \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/2*sqrt(-4*x^2 - 9)*x + 9/4*I*arcsinh(2/3*x)","C",0
480,1,35,0,2.928612," ","integrate(1/x*(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","\sqrt{-4 \, x^{2} - 9} + 3 i \, \log\left(\frac{6 \, \sqrt{4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"sqrt(-4*x^2 - 9) + 3*I*log(6*sqrt(4*x^2 + 9)/abs(x) + 18/abs(x))","C",0
481,1,21,0,2.915346," ","integrate((-4*x^2-9)^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{-4 \, x^{2} - 9}}{x} + 2 i \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"-sqrt(-4*x^2 - 9)/x + 2*I*arcsinh(2/3*x)","C",0
482,1,51,0,2.897395," ","integrate((-4*x^2-9)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{-4 \, x^{2} - 9} + \frac{{\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{18 \, x^{2}} + \frac{2}{3} i \, \log\left(\frac{6 \, \sqrt{4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"2/9*sqrt(-4*x^2 - 9) + 1/18*(-4*x^2 - 9)^(3/2)/x^2 + 2/3*I*log(6*sqrt(4*x^2 + 9)/abs(x) + 18/abs(x))","C",0
483,1,14,0,2.891805," ","integrate((-4*x^2-9)^(1/2)/x^4,x, algorithm=""maxima"")","\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
484,1,65,0,2.985351," ","integrate((-4*x^2-9)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{2}{81} \, \sqrt{-4 \, x^{2} - 9} - \frac{{\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{162 \, x^{2}} + \frac{{\left(-4 \, x^{2} - 9\right)}^{\frac{3}{2}}}{36 \, x^{4}} - \frac{2}{27} i \, \log\left(\frac{6 \, \sqrt{4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-2/81*sqrt(-4*x^2 - 9) - 1/162*(-4*x^2 - 9)^(3/2)/x^2 + 1/36*(-4*x^2 - 9)^(3/2)/x^4 - 2/27*I*log(6*sqrt(4*x^2 + 9)/abs(x) + 18/abs(x))","C",0
485,1,53,0,1.321696," ","integrate(x^5/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{2} + a} x^{4}}{5 \, b} - \frac{4 \, \sqrt{b x^{2} + a} a x^{2}}{15 \, b^{2}} + \frac{8 \, \sqrt{b x^{2} + a} a^{2}}{15 \, b^{3}}"," ",0,"1/5*sqrt(b*x^2 + a)*x^4/b - 4/15*sqrt(b*x^2 + a)*a*x^2/b^2 + 8/15*sqrt(b*x^2 + a)*a^2/b^3","A",0
486,1,51,0,1.350792," ","integrate(x^4/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{2} + a} x^{3}}{4 \, b} - \frac{3 \, \sqrt{b x^{2} + a} a x}{8 \, b^{2}} + \frac{3 \, a^{2} \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, b^{\frac{5}{2}}}"," ",0,"1/4*sqrt(b*x^2 + a)*x^3/b - 3/8*sqrt(b*x^2 + a)*a*x/b^2 + 3/8*a^2*arcsinh(b*x/sqrt(a*b))/b^(5/2)","A",0
487,1,33,0,1.344603," ","integrate(x^3/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{2} + a} x^{2}}{3 \, b} - \frac{2 \, \sqrt{b x^{2} + a} a}{3 \, b^{2}}"," ",0,"1/3*sqrt(b*x^2 + a)*x^2/b - 2/3*sqrt(b*x^2 + a)*a/b^2","A",0
488,1,31,0,1.261691," ","integrate(x^2/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{2} + a} x}{2 \, b} - \frac{a \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, b^{\frac{3}{2}}}"," ",0,"1/2*sqrt(b*x^2 + a)*x/b - 1/2*a*arcsinh(b*x/sqrt(a*b))/b^(3/2)","A",0
489,1,13,0,1.396639," ","integrate(x/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{2} + a}}{b}"," ",0,"sqrt(b*x^2 + a)/b","A",0
490,1,13,0,1.355983," ","integrate(1/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{b}}"," ",0,"arcsinh(b*x/sqrt(a*b))/sqrt(b)","A",0
491,1,17,0,1.380381," ","integrate(1/x/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{\operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{\sqrt{a}}"," ",0,"-arcsinh(a/(sqrt(a*b)*abs(x)))/sqrt(a)","A",0
492,1,17,0,1.353782," ","integrate(1/x^2/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x^{2} + a}}{a x}"," ",0,"-sqrt(b*x^2 + a)/(a*x)","A",0
493,1,36,0,1.347387," ","integrate(1/x^3/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{2 \, a^{\frac{3}{2}}} - \frac{\sqrt{b x^{2} + a}}{2 \, a x^{2}}"," ",0,"1/2*b*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(3/2) - 1/2*sqrt(b*x^2 + a)/(a*x^2)","A",0
494,1,36,0,1.265328," ","integrate(1/x^4/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{2} + a} b}{3 \, a^{2} x} - \frac{\sqrt{b x^{2} + a}}{3 \, a x^{3}}"," ",0,"2/3*sqrt(b*x^2 + a)*b/(a^2*x) - 1/3*sqrt(b*x^2 + a)/(a*x^3)","A",0
495,1,56,0,1.289820," ","integrate(1/x^5/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, b^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{8 \, a^{\frac{5}{2}}} + \frac{3 \, \sqrt{b x^{2} + a} b}{8 \, a^{2} x^{2}} - \frac{\sqrt{b x^{2} + a}}{4 \, a x^{4}}"," ",0,"-3/8*b^2*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(5/2) + 3/8*sqrt(b*x^2 + a)*b/(a^2*x^2) - 1/4*sqrt(b*x^2 + a)/(a*x^4)","A",0
496,1,53,0,1.312916," ","integrate(x^5/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{x^{4}}{3 \, \sqrt{b x^{2} + a} b} - \frac{4 \, a x^{2}}{3 \, \sqrt{b x^{2} + a} b^{2}} - \frac{8 \, a^{2}}{3 \, \sqrt{b x^{2} + a} b^{3}}"," ",0,"1/3*x^4/(sqrt(b*x^2 + a)*b) - 4/3*a*x^2/(sqrt(b*x^2 + a)*b^2) - 8/3*a^2/(sqrt(b*x^2 + a)*b^3)","A",0
497,1,49,0,1.324749," ","integrate(x^4/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, \sqrt{b x^{2} + a} b} + \frac{3 \, a x}{2 \, \sqrt{b x^{2} + a} b^{2}} - \frac{3 \, a \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, b^{\frac{5}{2}}}"," ",0,"1/2*x^3/(sqrt(b*x^2 + a)*b) + 3/2*a*x/(sqrt(b*x^2 + a)*b^2) - 3/2*a*arcsinh(b*x/sqrt(a*b))/b^(5/2)","A",0
498,1,32,0,1.376542," ","integrate(x^3/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{\sqrt{b x^{2} + a} b} + \frac{2 \, a}{\sqrt{b x^{2} + a} b^{2}}"," ",0,"x^2/(sqrt(b*x^2 + a)*b) + 2*a/(sqrt(b*x^2 + a)*b^2)","A",0
499,1,29,0,1.391090," ","integrate(x^2/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{x}{\sqrt{b x^{2} + a} b} + \frac{\operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{b^{\frac{3}{2}}}"," ",0,"-x/(sqrt(b*x^2 + a)*b) + arcsinh(b*x/sqrt(a*b))/b^(3/2)","A",0
500,1,14,0,1.324030," ","integrate(x/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{1}{\sqrt{b x^{2} + a} b}"," ",0,"-1/(sqrt(b*x^2 + a)*b)","A",0
501,1,14,0,1.332461," ","integrate(1/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{b x^{2} + a} a}"," ",0,"x/(sqrt(b*x^2 + a)*a)","A",0
502,1,31,0,1.359773," ","integrate(1/x/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{\operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{a^{\frac{3}{2}}} + \frac{1}{\sqrt{b x^{2} + a} a}"," ",0,"-arcsinh(a/(sqrt(a*b)*abs(x)))/a^(3/2) + 1/(sqrt(b*x^2 + a)*a)","A",0
503,1,34,0,1.294011," ","integrate(1/x^2/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, b x}{\sqrt{b x^{2} + a} a^{2}} - \frac{1}{\sqrt{b x^{2} + a} a x}"," ",0,"-2*b*x/(sqrt(b*x^2 + a)*a^2) - 1/(sqrt(b*x^2 + a)*a*x)","A",0
504,1,51,0,1.310606," ","integrate(1/x^3/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{3 \, b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{2 \, a^{\frac{5}{2}}} - \frac{3 \, b}{2 \, \sqrt{b x^{2} + a} a^{2}} - \frac{1}{2 \, \sqrt{b x^{2} + a} a x^{2}}"," ",0,"3/2*b*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(5/2) - 3/2*b/(sqrt(b*x^2 + a)*a^2) - 1/2/(sqrt(b*x^2 + a)*a*x^2)","A",0
505,1,54,0,1.312645," ","integrate(1/x^4/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{8 \, b^{2} x}{3 \, \sqrt{b x^{2} + a} a^{3}} + \frac{4 \, b}{3 \, \sqrt{b x^{2} + a} a^{2} x} - \frac{1}{3 \, \sqrt{b x^{2} + a} a x^{3}}"," ",0,"8/3*b^2*x/(sqrt(b*x^2 + a)*a^3) + 4/3*b/(sqrt(b*x^2 + a)*a^2*x) - 1/3/(sqrt(b*x^2 + a)*a*x^3)","A",0
506,1,89,0,1.414991," ","integrate(x^6/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{x^{5}}{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b} + \frac{5 \, a x {\left(\frac{3 \, x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b} + \frac{2 \, a}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}\right)}}{6 \, b} + \frac{5 \, a x}{6 \, \sqrt{b x^{2} + a} b^{3}} - \frac{5 \, a \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, b^{\frac{7}{2}}}"," ",0,"1/2*x^5/((b*x^2 + a)^(3/2)*b) + 5/6*a*x*(3*x^2/((b*x^2 + a)^(3/2)*b) + 2*a/((b*x^2 + a)^(3/2)*b^2))/b + 5/6*a*x/(sqrt(b*x^2 + a)*b^3) - 5/2*a*arcsinh(b*x/sqrt(a*b))/b^(7/2)","A",0
507,1,52,0,1.351007," ","integrate(x^5/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b} + \frac{4 \, a x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}} + \frac{8 \, a^{2}}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"x^4/((b*x^2 + a)^(3/2)*b) + 4*a*x^2/((b*x^2 + a)^(3/2)*b^2) + 8/3*a^2/((b*x^2 + a)^(3/2)*b^3)","A",0
508,1,65,0,1.372018," ","integrate(x^4/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b} + \frac{2 \, a}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}\right)} - \frac{x}{3 \, \sqrt{b x^{2} + a} b^{2}} + \frac{\operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{b^{\frac{5}{2}}}"," ",0,"-1/3*x*(3*x^2/((b*x^2 + a)^(3/2)*b) + 2*a/((b*x^2 + a)^(3/2)*b^2)) - 1/3*x/(sqrt(b*x^2 + a)*b^2) + arcsinh(b*x/sqrt(a*b))/b^(5/2)","A",0
509,1,33,0,1.265168," ","integrate(x^3/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b} - \frac{2 \, a}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"-x^2/((b*x^2 + a)^(3/2)*b) - 2/3*a/((b*x^2 + a)^(3/2)*b^2)","A",0
510,1,34,0,1.308925," ","integrate(x^2/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{x}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b} + \frac{x}{3 \, \sqrt{b x^{2} + a} a b}"," ",0,"-1/3*x/((b*x^2 + a)^(3/2)*b) + 1/3*x/(sqrt(b*x^2 + a)*a*b)","A",0
511,1,14,0,1.331614," ","integrate(x/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b}"," ",0,"-1/3/((b*x^2 + a)^(3/2)*b)","A",0
512,1,31,0,1.341666," ","integrate(1/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, \sqrt{b x^{2} + a} a^{2}} + \frac{x}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a}"," ",0,"2/3*x/(sqrt(b*x^2 + a)*a^2) + 1/3*x/((b*x^2 + a)^(3/2)*a)","A",0
513,1,45,0,1.337527," ","integrate(1/x/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{\operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{a^{\frac{5}{2}}} + \frac{1}{\sqrt{b x^{2} + a} a^{2}} + \frac{1}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a}"," ",0,"-arcsinh(a/(sqrt(a*b)*abs(x)))/a^(5/2) + 1/(sqrt(b*x^2 + a)*a^2) + 1/3/((b*x^2 + a)^(3/2)*a)","A",0
514,1,50,0,1.342859," ","integrate(1/x^2/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{8 \, b x}{3 \, \sqrt{b x^{2} + a} a^{3}} - \frac{4 \, b x}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2}} - \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} a x}"," ",0,"-8/3*b*x/(sqrt(b*x^2 + a)*a^3) - 4/3*b*x/((b*x^2 + a)^(3/2)*a^2) - 1/((b*x^2 + a)^(3/2)*a*x)","A",0
515,1,66,0,1.354312," ","integrate(1/x^3/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{5 \, b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{2 \, a^{\frac{7}{2}}} - \frac{5 \, b}{2 \, \sqrt{b x^{2} + a} a^{3}} - \frac{5 \, b}{6 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2}} - \frac{1}{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a x^{2}}"," ",0,"5/2*b*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(7/2) - 5/2*b/(sqrt(b*x^2 + a)*a^3) - 5/6*b/((b*x^2 + a)^(3/2)*a^2) - 1/2/((b*x^2 + a)^(3/2)*a*x^2)","A",0
516,1,72,0,1.397717," ","integrate(1/x^4/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{16 \, b^{2} x}{3 \, \sqrt{b x^{2} + a} a^{4}} + \frac{8 \, b^{2} x}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3}} + \frac{2 \, b}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} x} - \frac{1}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a x^{3}}"," ",0,"16/3*b^2*x/(sqrt(b*x^2 + a)*a^4) + 8/3*b^2*x/((b*x^2 + a)^(3/2)*a^3) + 2*b/((b*x^2 + a)^(3/2)*a^2*x) - 1/3/((b*x^2 + a)^(3/2)*a*x^3)","A",0
517,1,285,0,1.686091," ","integrate(x^10/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{x^{9}}{2 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b} + \frac{9 \, {\left(\frac{35 \, x^{6}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b} + \frac{70 \, a x^{4}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}} + \frac{56 \, a^{2} x^{2}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}} + \frac{16 \, a^{3}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}\right)} a x}{70 \, b} + \frac{3 \, a x {\left(\frac{15 \, x^{4}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b} + \frac{20 \, a x^{2}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}} + \frac{8 \, a^{2}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}}\right)}}{10 \, b^{2}} + \frac{3 \, a x {\left(\frac{3 \, x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b} + \frac{2 \, a}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}\right)}}{2 \, b^{3}} + \frac{9 \, a^{2} x^{3}}{2 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4}} - \frac{417 \, a x}{70 \, \sqrt{b x^{2} + a} b^{5}} - \frac{51 \, a^{2} x}{70 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{5}} + \frac{261 \, a^{3} x}{70 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{5}} - \frac{9 \, a \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, b^{\frac{11}{2}}}"," ",0,"1/2*x^9/((b*x^2 + a)^(7/2)*b) + 9/70*(35*x^6/((b*x^2 + a)^(7/2)*b) + 70*a*x^4/((b*x^2 + a)^(7/2)*b^2) + 56*a^2*x^2/((b*x^2 + a)^(7/2)*b^3) + 16*a^3/((b*x^2 + a)^(7/2)*b^4))*a*x/b + 3/10*a*x*(15*x^4/((b*x^2 + a)^(5/2)*b) + 20*a*x^2/((b*x^2 + a)^(5/2)*b^2) + 8*a^2/((b*x^2 + a)^(5/2)*b^3))/b^2 + 3/2*a*x*(3*x^2/((b*x^2 + a)^(3/2)*b) + 2*a/((b*x^2 + a)^(3/2)*b^2))/b^3 + 9/2*a^2*x^3/((b*x^2 + a)^(5/2)*b^4) - 417/70*a*x/(sqrt(b*x^2 + a)*b^5) - 51/70*a^2*x/((b*x^2 + a)^(3/2)*b^5) + 261/70*a^3*x/((b*x^2 + a)^(5/2)*b^5) - 9/2*a*arcsinh(b*x/sqrt(a*b))/b^(11/2)","B",0
518,1,92,0,1.638009," ","integrate(x^9/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{x^{8}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b} + \frac{8 \, a x^{6}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}} + \frac{16 \, a^{2} x^{4}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}} + \frac{64 \, a^{3} x^{2}}{5 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}} + \frac{128 \, a^{4}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5}}"," ",0,"x^8/((b*x^2 + a)^(7/2)*b) + 8*a*x^6/((b*x^2 + a)^(7/2)*b^2) + 16*a^2*x^4/((b*x^2 + a)^(7/2)*b^3) + 64/5*a^3*x^2/((b*x^2 + a)^(7/2)*b^4) + 128/35*a^4/((b*x^2 + a)^(7/2)*b^5)","A",0
519,1,255,0,1.672632," ","integrate(x^8/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{1}{35} \, {\left(\frac{35 \, x^{6}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b} + \frac{70 \, a x^{4}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}} + \frac{56 \, a^{2} x^{2}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}} + \frac{16 \, a^{3}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}\right)} x - \frac{x {\left(\frac{15 \, x^{4}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b} + \frac{20 \, a x^{2}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}} + \frac{8 \, a^{2}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}}\right)}}{15 \, b} - \frac{x {\left(\frac{3 \, x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b} + \frac{2 \, a}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}\right)}}{3 \, b^{2}} - \frac{a x^{3}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}} + \frac{139 \, x}{105 \, \sqrt{b x^{2} + a} b^{4}} + \frac{17 \, a x}{105 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{4}} - \frac{29 \, a^{2} x}{35 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4}} + \frac{\operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{b^{\frac{9}{2}}}"," ",0,"-1/35*(35*x^6/((b*x^2 + a)^(7/2)*b) + 70*a*x^4/((b*x^2 + a)^(7/2)*b^2) + 56*a^2*x^2/((b*x^2 + a)^(7/2)*b^3) + 16*a^3/((b*x^2 + a)^(7/2)*b^4))*x - 1/15*x*(15*x^4/((b*x^2 + a)^(5/2)*b) + 20*a*x^2/((b*x^2 + a)^(5/2)*b^2) + 8*a^2/((b*x^2 + a)^(5/2)*b^3))/b - 1/3*x*(3*x^2/((b*x^2 + a)^(3/2)*b) + 2*a/((b*x^2 + a)^(3/2)*b^2))/b^2 - a*x^3/((b*x^2 + a)^(5/2)*b^3) + 139/105*x/(sqrt(b*x^2 + a)*b^4) + 17/105*a*x/((b*x^2 + a)^(3/2)*b^4) - 29/35*a^2*x/((b*x^2 + a)^(5/2)*b^4) + arcsinh(b*x/sqrt(a*b))/b^(9/2)","B",0
520,1,73,0,1.363767," ","integrate(x^7/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b} - \frac{2 \, a x^{4}}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}} - \frac{8 \, a^{2} x^{2}}{5 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}} - \frac{16 \, a^{3}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}"," ",0,"-x^6/((b*x^2 + a)^(7/2)*b) - 2*a*x^4/((b*x^2 + a)^(7/2)*b^2) - 8/5*a^2*x^2/((b*x^2 + a)^(7/2)*b^3) - 16/35*a^3/((b*x^2 + a)^(7/2)*b^4)","A",0
521,1,103,0,1.333523," ","integrate(x^6/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{x^{5}}{2 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b} - \frac{5 \, a x^{3}}{8 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}} + \frac{x}{14 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3}} + \frac{x}{7 \, \sqrt{b x^{2} + a} a b^{3}} + \frac{3 \, a x}{56 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3}} - \frac{15 \, a^{2} x}{56 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}"," ",0,"-1/2*x^5/((b*x^2 + a)^(7/2)*b) - 5/8*a*x^3/((b*x^2 + a)^(7/2)*b^2) + 1/14*x/((b*x^2 + a)^(3/2)*b^3) + 1/7*x/(sqrt(b*x^2 + a)*a*b^3) + 3/56*a*x/((b*x^2 + a)^(5/2)*b^3) - 15/56*a^2*x/((b*x^2 + a)^(7/2)*b^3)","B",0
522,1,53,0,1.407333," ","integrate(x^5/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{x^{4}}{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b} - \frac{4 \, a x^{2}}{15 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}} - \frac{8 \, a^{2}}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}"," ",0,"-1/3*x^4/((b*x^2 + a)^(7/2)*b) - 4/15*a*x^2/((b*x^2 + a)^(7/2)*b^2) - 8/105*a^2/((b*x^2 + a)^(7/2)*b^3)","A",0
523,1,85,0,1.379563," ","integrate(x^4/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{x^{3}}{4 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b} + \frac{3 \, x}{140 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{2}} + \frac{2 \, x}{35 \, \sqrt{b x^{2} + a} a^{2} b^{2}} + \frac{x}{35 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{2}} - \frac{3 \, a x}{28 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}"," ",0,"-1/4*x^3/((b*x^2 + a)^(7/2)*b) + 3/140*x/((b*x^2 + a)^(5/2)*b^2) + 2/35*x/(sqrt(b*x^2 + a)*a^2*b^2) + 1/35*x/((b*x^2 + a)^(3/2)*a*b^2) - 3/28*a*x/((b*x^2 + a)^(7/2)*b^2)","B",0
524,1,33,0,1.300655," ","integrate(x^3/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{x^{2}}{5 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b} - \frac{2 \, a}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}"," ",0,"-1/5*x^2/((b*x^2 + a)^(7/2)*b) - 2/35*a/((b*x^2 + a)^(7/2)*b^2)","A",0
525,1,70,0,1.387668," ","integrate(x^2/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{x}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b} + \frac{8 \, x}{105 \, \sqrt{b x^{2} + a} a^{3} b} + \frac{4 \, x}{105 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} b} + \frac{x}{35 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a b}"," ",0,"-1/7*x/((b*x^2 + a)^(7/2)*b) + 8/105*x/(sqrt(b*x^2 + a)*a^3*b) + 4/105*x/((b*x^2 + a)^(3/2)*a^2*b) + 1/35*x/((b*x^2 + a)^(5/2)*a*b)","A",0
526,1,14,0,1.331538," ","integrate(x/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b}"," ",0,"-1/7/((b*x^2 + a)^(7/2)*b)","A",0
527,1,61,0,1.367265," ","integrate(1/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{16 \, x}{35 \, \sqrt{b x^{2} + a} a^{4}} + \frac{8 \, x}{35 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3}} + \frac{6 \, x}{35 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2}} + \frac{x}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a}"," ",0,"16/35*x/(sqrt(b*x^2 + a)*a^4) + 8/35*x/((b*x^2 + a)^(3/2)*a^3) + 6/35*x/((b*x^2 + a)^(5/2)*a^2) + 1/7*x/((b*x^2 + a)^(7/2)*a)","A",0
528,1,73,0,1.355916," ","integrate(1/x/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{\operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{a^{\frac{9}{2}}} + \frac{1}{\sqrt{b x^{2} + a} a^{4}} + \frac{1}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3}} + \frac{1}{5 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2}} + \frac{1}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a}"," ",0,"-arcsinh(a/(sqrt(a*b)*abs(x)))/a^(9/2) + 1/(sqrt(b*x^2 + a)*a^4) + 1/3/((b*x^2 + a)^(3/2)*a^3) + 1/5/((b*x^2 + a)^(5/2)*a^2) + 1/7/((b*x^2 + a)^(7/2)*a)","A",0
529,1,82,0,1.433438," ","integrate(1/x^2/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","-\frac{128 \, b x}{35 \, \sqrt{b x^{2} + a} a^{5}} - \frac{64 \, b x}{35 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{4}} - \frac{48 \, b x}{35 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{3}} - \frac{8 \, b x}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2}} - \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{2}} a x}"," ",0,"-128/35*b*x/(sqrt(b*x^2 + a)*a^5) - 64/35*b*x/((b*x^2 + a)^(3/2)*a^4) - 48/35*b*x/((b*x^2 + a)^(5/2)*a^3) - 8/7*b*x/((b*x^2 + a)^(7/2)*a^2) - 1/((b*x^2 + a)^(7/2)*a*x)","A",0
530,1,96,0,1.390346," ","integrate(1/x^3/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{9 \, b \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right)}{2 \, a^{\frac{11}{2}}} - \frac{9 \, b}{2 \, \sqrt{b x^{2} + a} a^{5}} - \frac{3 \, b}{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{4}} - \frac{9 \, b}{10 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{3}} - \frac{9 \, b}{14 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2}} - \frac{1}{2 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a x^{2}}"," ",0,"9/2*b*arcsinh(a/(sqrt(a*b)*abs(x)))/a^(11/2) - 9/2*b/(sqrt(b*x^2 + a)*a^5) - 3/2*b/((b*x^2 + a)^(3/2)*a^4) - 9/10*b/((b*x^2 + a)^(5/2)*a^3) - 9/14*b/((b*x^2 + a)^(7/2)*a^2) - 1/2/((b*x^2 + a)^(7/2)*a*x^2)","A",0
531,1,108,0,1.421747," ","integrate(1/x^4/(b*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{256 \, b^{2} x}{21 \, \sqrt{b x^{2} + a} a^{6}} + \frac{128 \, b^{2} x}{21 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{5}} + \frac{32 \, b^{2} x}{7 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{4}} + \frac{80 \, b^{2} x}{21 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{3}} + \frac{10 \, b}{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2} x} - \frac{1}{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a x^{3}}"," ",0,"256/21*b^2*x/(sqrt(b*x^2 + a)*a^6) + 128/21*b^2*x/((b*x^2 + a)^(3/2)*a^5) + 32/7*b^2*x/((b*x^2 + a)^(5/2)*a^4) + 80/21*b^2*x/((b*x^2 + a)^(7/2)*a^3) + 10/3*b/((b*x^2 + a)^(7/2)*a^2*x) - 1/3/((b*x^2 + a)^(7/2)*a*x^3)","A",0
532,1,40,0,2.886037," ","integrate(x^5/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{20} \, \sqrt{4 \, x^{2} + 9} x^{4} - \frac{3}{20} \, \sqrt{4 \, x^{2} + 9} x^{2} + \frac{27}{40} \, \sqrt{4 \, x^{2} + 9}"," ",0,"1/20*sqrt(4*x^2 + 9)*x^4 - 3/20*sqrt(4*x^2 + 9)*x^2 + 27/40*sqrt(4*x^2 + 9)","A",0
533,1,33,0,2.905714," ","integrate(x^4/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, \sqrt{4 \, x^{2} + 9} x^{3} - \frac{27}{128} \, \sqrt{4 \, x^{2} + 9} x + \frac{243}{256} \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/16*sqrt(4*x^2 + 9)*x^3 - 27/128*sqrt(4*x^2 + 9)*x + 243/256*arcsinh(2/3*x)","A",0
534,1,26,0,2.913655," ","integrate(x^3/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{4 \, x^{2} + 9} x^{2} - \frac{3}{8} \, \sqrt{4 \, x^{2} + 9}"," ",0,"1/12*sqrt(4*x^2 + 9)*x^2 - 3/8*sqrt(4*x^2 + 9)","A",0
535,1,19,0,2.923457," ","integrate(x^2/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{4 \, x^{2} + 9} x - \frac{9}{16} \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/8*sqrt(4*x^2 + 9)*x - 9/16*arcsinh(2/3*x)","A",0
536,1,11,0,1.317854," ","integrate(x/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{4 \, x^{2} + 9}"," ",0,"1/4*sqrt(4*x^2 + 9)","A",0
537,1,6,0,2.963979," ","integrate(1/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/2*arcsinh(2/3*x)","A",0
538,1,9,0,2.960739," ","integrate(1/x/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \operatorname{arsinh}\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"-1/3*arcsinh(3/2/abs(x))","A",0
539,1,14,0,2.979285," ","integrate(1/x^2/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{4 \, x^{2} + 9}}{9 \, x}"," ",0,"-1/9*sqrt(4*x^2 + 9)/x","A",0
540,1,24,0,2.938868," ","integrate(1/x^3/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{4 \, x^{2} + 9}}{18 \, x^{2}} + \frac{2}{27} \, \operatorname{arsinh}\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"-1/18*sqrt(4*x^2 + 9)/x^2 + 2/27*arcsinh(3/2/abs(x))","A",0
541,1,29,0,2.863243," ","integrate(1/x^4/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{8 \, \sqrt{4 \, x^{2} + 9}}{243 \, x} - \frac{\sqrt{4 \, x^{2} + 9}}{27 \, x^{3}}"," ",0,"8/243*sqrt(4*x^2 + 9)/x - 1/27*sqrt(4*x^2 + 9)/x^3","A",0
542,1,38,0,2.948688," ","integrate(1/x^5/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{4 \, x^{2} + 9}}{54 \, x^{2}} - \frac{\sqrt{4 \, x^{2} + 9}}{36 \, x^{4}} - \frac{2}{81} \, \operatorname{arsinh}\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"1/54*sqrt(4*x^2 + 9)/x^2 - 1/36*sqrt(4*x^2 + 9)/x^4 - 2/81*arcsinh(3/2/abs(x))","A",0
543,1,40,0,2.950857," ","integrate(x^5/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{20} \, \sqrt{-4 \, x^{2} + 9} x^{4} - \frac{3}{20} \, \sqrt{-4 \, x^{2} + 9} x^{2} - \frac{27}{40} \, \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/20*sqrt(-4*x^2 + 9)*x^4 - 3/20*sqrt(-4*x^2 + 9)*x^2 - 27/40*sqrt(-4*x^2 + 9)","A",0
544,1,33,0,2.929913," ","integrate(x^4/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{-4 \, x^{2} + 9} x^{3} - \frac{27}{128} \, \sqrt{-4 \, x^{2} + 9} x + \frac{243}{256} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"-1/16*sqrt(-4*x^2 + 9)*x^3 - 27/128*sqrt(-4*x^2 + 9)*x + 243/256*arcsin(2/3*x)","A",0
545,1,26,0,2.898637," ","integrate(x^3/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{-4 \, x^{2} + 9} x^{2} - \frac{3}{8} \, \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/12*sqrt(-4*x^2 + 9)*x^2 - 3/8*sqrt(-4*x^2 + 9)","A",0
546,1,19,0,2.879312," ","integrate(x^2/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{-4 \, x^{2} + 9} x + \frac{9}{16} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"-1/8*sqrt(-4*x^2 + 9)*x + 9/16*arcsin(2/3*x)","A",0
547,1,11,0,1.333898," ","integrate(x/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/4*sqrt(-4*x^2 + 9)","A",0
548,1,6,0,2.978098," ","integrate(1/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"1/2*arcsin(2/3*x)","A",0
549,1,25,0,2.988751," ","integrate(1/x/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(\frac{6 \, \sqrt{-4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-1/3*log(6*sqrt(-4*x^2 + 9)/abs(x) + 18/abs(x))","A",0
550,1,14,0,2.901996," ","integrate(1/x^2/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-4 \, x^{2} + 9}}{9 \, x}"," ",0,"-1/9*sqrt(-4*x^2 + 9)/x","A",0
551,1,40,0,2.932116," ","integrate(1/x^3/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-4 \, x^{2} + 9}}{18 \, x^{2}} - \frac{2}{27} \, \log\left(\frac{6 \, \sqrt{-4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-1/18*sqrt(-4*x^2 + 9)/x^2 - 2/27*log(6*sqrt(-4*x^2 + 9)/abs(x) + 18/abs(x))","A",0
552,1,29,0,2.971735," ","integrate(1/x^4/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{8 \, \sqrt{-4 \, x^{2} + 9}}{243 \, x} - \frac{\sqrt{-4 \, x^{2} + 9}}{27 \, x^{3}}"," ",0,"-8/243*sqrt(-4*x^2 + 9)/x - 1/27*sqrt(-4*x^2 + 9)/x^3","A",0
553,1,54,0,2.925544," ","integrate(1/x^5/(-4*x^2+9)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-4 \, x^{2} + 9}}{54 \, x^{2}} - \frac{\sqrt{-4 \, x^{2} + 9}}{36 \, x^{4}} - \frac{2}{81} \, \log\left(\frac{6 \, \sqrt{-4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-1/54*sqrt(-4*x^2 + 9)/x^2 - 1/36*sqrt(-4*x^2 + 9)/x^4 - 2/81*log(6*sqrt(-4*x^2 + 9)/abs(x) + 18/abs(x))","A",0
554,1,40,0,2.932384," ","integrate(x^5/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{20} \, \sqrt{4 \, x^{2} - 9} x^{4} + \frac{3}{20} \, \sqrt{4 \, x^{2} - 9} x^{2} + \frac{27}{40} \, \sqrt{4 \, x^{2} - 9}"," ",0,"1/20*sqrt(4*x^2 - 9)*x^4 + 3/20*sqrt(4*x^2 - 9)*x^2 + 27/40*sqrt(4*x^2 - 9)","A",0
555,1,45,0,2.808677," ","integrate(x^4/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, \sqrt{4 \, x^{2} - 9} x^{3} + \frac{27}{128} \, \sqrt{4 \, x^{2} - 9} x + \frac{243}{256} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/16*sqrt(4*x^2 - 9)*x^3 + 27/128*sqrt(4*x^2 - 9)*x + 243/256*log(8*x + 4*sqrt(4*x^2 - 9))","A",0
556,1,26,0,2.920079," ","integrate(x^3/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{4 \, x^{2} - 9} x^{2} + \frac{3}{8} \, \sqrt{4 \, x^{2} - 9}"," ",0,"1/12*sqrt(4*x^2 - 9)*x^2 + 3/8*sqrt(4*x^2 - 9)","A",0
557,1,31,0,2.908083," ","integrate(x^2/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{4 \, x^{2} - 9} x + \frac{9}{16} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/8*sqrt(4*x^2 - 9)*x + 9/16*log(8*x + 4*sqrt(4*x^2 - 9))","A",0
558,1,11,0,1.272382," ","integrate(x/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{4 \, x^{2} - 9}"," ",0,"1/4*sqrt(4*x^2 - 9)","A",0
559,1,18,0,2.958315," ","integrate(1/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/2*log(8*x + 4*sqrt(4*x^2 - 9))","A",0
560,1,9,0,2.909180," ","integrate(1/x/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \arcsin\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"-1/3*arcsin(3/2/abs(x))","A",0
561,1,14,0,2.841892," ","integrate(1/x^2/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{4 \, x^{2} - 9}}{9 \, x}"," ",0,"1/9*sqrt(4*x^2 - 9)/x","A",0
562,1,24,0,2.929703," ","integrate(1/x^3/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{4 \, x^{2} - 9}}{18 \, x^{2}} - \frac{2}{27} \, \arcsin\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"1/18*sqrt(4*x^2 - 9)/x^2 - 2/27*arcsin(3/2/abs(x))","A",0
563,1,29,0,2.960649," ","integrate(1/x^4/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{8 \, \sqrt{4 \, x^{2} - 9}}{243 \, x} + \frac{\sqrt{4 \, x^{2} - 9}}{27 \, x^{3}}"," ",0,"8/243*sqrt(4*x^2 - 9)/x + 1/27*sqrt(4*x^2 - 9)/x^3","A",0
564,1,38,0,2.920727," ","integrate(1/x^5/(4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{4 \, x^{2} - 9}}{54 \, x^{2}} + \frac{\sqrt{4 \, x^{2} - 9}}{36 \, x^{4}} - \frac{2}{81} \, \arcsin\left(\frac{3}{2 \, {\left| x \right|}}\right)"," ",0,"1/54*sqrt(4*x^2 - 9)/x^2 + 1/36*sqrt(4*x^2 - 9)/x^4 - 2/81*arcsin(3/2/abs(x))","A",0
565,1,40,0,2.912349," ","integrate(x^5/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{20} \, \sqrt{-4 \, x^{2} - 9} x^{4} + \frac{3}{20} \, \sqrt{-4 \, x^{2} - 9} x^{2} - \frac{27}{40} \, \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/20*sqrt(-4*x^2 - 9)*x^4 + 3/20*sqrt(-4*x^2 - 9)*x^2 - 27/40*sqrt(-4*x^2 - 9)","A",0
566,1,33,0,2.945933," ","integrate(x^4/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{-4 \, x^{2} - 9} x^{3} + \frac{27}{128} \, \sqrt{-4 \, x^{2} - 9} x - \frac{243}{256} i \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"-1/16*sqrt(-4*x^2 - 9)*x^3 + 27/128*sqrt(-4*x^2 - 9)*x - 243/256*I*arcsinh(2/3*x)","C",0
567,1,26,0,2.963115," ","integrate(x^3/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{-4 \, x^{2} - 9} x^{2} + \frac{3}{8} \, \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/12*sqrt(-4*x^2 - 9)*x^2 + 3/8*sqrt(-4*x^2 - 9)","A",0
568,1,19,0,2.927062," ","integrate(x^2/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{-4 \, x^{2} - 9} x + \frac{9}{16} i \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"-1/8*sqrt(-4*x^2 - 9)*x + 9/16*I*arcsinh(2/3*x)","C",0
569,1,11,0,1.323666," ","integrate(x/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/4*sqrt(-4*x^2 - 9)","A",0
570,1,6,0,2.978729," ","integrate(1/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} i \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"-1/2*I*arcsinh(2/3*x)","C",0
571,1,25,0,2.944614," ","integrate(1/x/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} i \, \log\left(\frac{6 \, \sqrt{4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-1/3*I*log(6*sqrt(4*x^2 + 9)/abs(x) + 18/abs(x))","C",0
572,1,14,0,2.950862," ","integrate(1/x^2/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-4 \, x^{2} - 9}}{9 \, x}"," ",0,"1/9*sqrt(-4*x^2 - 9)/x","A",0
573,1,40,0,2.924202," ","integrate(1/x^3/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-4 \, x^{2} - 9}}{18 \, x^{2}} + \frac{2}{27} i \, \log\left(\frac{6 \, \sqrt{4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"1/18*sqrt(-4*x^2 - 9)/x^2 + 2/27*I*log(6*sqrt(4*x^2 + 9)/abs(x) + 18/abs(x))","C",0
574,1,29,0,2.962503," ","integrate(1/x^4/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{8 \, \sqrt{-4 \, x^{2} - 9}}{243 \, x} + \frac{\sqrt{-4 \, x^{2} - 9}}{27 \, x^{3}}"," ",0,"-8/243*sqrt(-4*x^2 - 9)/x + 1/27*sqrt(-4*x^2 - 9)/x^3","A",0
575,1,54,0,2.888156," ","integrate(1/x^5/(-4*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-4 \, x^{2} - 9}}{54 \, x^{2}} + \frac{\sqrt{-4 \, x^{2} - 9}}{36 \, x^{4}} - \frac{2}{81} i \, \log\left(\frac{6 \, \sqrt{4 \, x^{2} + 9}}{{\left| x \right|}} + \frac{18}{{\left| x \right|}}\right)"," ",0,"-1/54*sqrt(-4*x^2 - 9)/x^2 + 1/36*sqrt(-4*x^2 - 9)/x^4 - 2/81*I*log(6*sqrt(4*x^2 + 9)/abs(x) + 18/abs(x))","C",0
576,1,11,0,1.303524," ","integrate(1/(b*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{1}{3} \, \sqrt{b} x\right)}{\sqrt{b}}"," ",0,"arcsinh(1/3*sqrt(b)*x)/sqrt(b)","A",0
577,1,11,0,2.826090," ","integrate(1/(-b*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{\arcsin\left(\frac{1}{3} \, \sqrt{b} x\right)}{\sqrt{b}}"," ",0,"arcsin(1/3*sqrt(b)*x)/sqrt(b)","A",0
578,1,24,0,1.329298," ","integrate(1/(b*x^2-9)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + 2 \, \sqrt{b x^{2} - 9} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + 2*sqrt(b*x^2 - 9)*sqrt(b))/sqrt(b)","A",0
579,1,12,0,1.381717," ","integrate(1/(-b*x^2-9)^(1/2),x, algorithm=""maxima"")","-\frac{i \, \operatorname{arsinh}\left(\frac{1}{3} \, \sqrt{b} x\right)}{\sqrt{b}}"," ",0,"-I*arcsinh(1/3*sqrt(b)*x)/sqrt(b)","C",0
580,1,13,0,1.329050," ","integrate(1/(b*x^2+pi)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{b x}{\sqrt{\pi b}}\right)}{\sqrt{b}}"," ",0,"arcsinh(b*x/sqrt(pi*b))/sqrt(b)","A",0
581,1,13,0,2.858153," ","integrate(1/(-b*x^2+pi)^(1/2),x, algorithm=""maxima"")","\frac{\arcsin\left(\frac{b x}{\sqrt{\pi b}}\right)}{\sqrt{b}}"," ",0,"arcsin(b*x/sqrt(pi*b))/sqrt(b)","A",0
582,1,26,0,1.387002," ","integrate(1/(b*x^2-pi)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + 2 \, \sqrt{-\pi + b x^{2}} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + 2*sqrt(-pi + b*x^2)*sqrt(b))/sqrt(b)","A",0
583,1,14,0,1.347321," ","integrate(1/(-b*x^2-pi)^(1/2),x, algorithm=""maxima"")","-\frac{i \, \operatorname{arsinh}\left(\frac{b x}{\sqrt{\pi b}}\right)}{\sqrt{b}}"," ",0,"-I*arcsinh(b*x/sqrt(pi*b))/sqrt(b)","C",0
584,1,13,0,1.354524," ","integrate(1/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{b}}"," ",0,"arcsinh(b*x/sqrt(a*b))/sqrt(b)","A",0
585,1,13,0,2.955990," ","integrate(1/(-b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\arcsin\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{b}}"," ",0,"arcsin(b*x/sqrt(a*b))/sqrt(b)","A",0
586,1,26,0,1.319864," ","integrate(1/(b*x^2-a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + 2 \, \sqrt{b x^{2} - a} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + 2*sqrt(b*x^2 - a)*sqrt(b))/sqrt(b)","A",0
587,1,14,0,1.321636," ","integrate(1/(-b*x^2-a)^(1/2),x, algorithm=""maxima"")","-\frac{i \, \operatorname{arsinh}\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{b}}"," ",0,"-I*arcsinh(b*x/sqrt(a*b))/sqrt(b)","C",0
588,1,6,0,2.890885," ","integrate(1/(a^2-x^2)^(1/2),x, algorithm=""maxima"")","\arcsin\left(\frac{x}{a}\right)"," ",0,"arcsin(x/a)","A",0
589,0,0,0,0.000000," ","integrate((c*x)^(7/2)*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{2} + a} \left(c x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)*(c*x)^(7/2), x)","F",0
590,0,0,0,0.000000," ","integrate((c*x)^(5/2)*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{2} + a} \left(c x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)*(c*x)^(5/2), x)","F",0
591,0,0,0,0.000000," ","integrate((c*x)^(3/2)*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{2} + a} \left(c x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)*(c*x)^(3/2), x)","F",0
592,0,0,0,0.000000," ","integrate((c*x)^(1/2)*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{2} + a} \sqrt{c x}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)*sqrt(c*x), x)","F",0
593,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)/(c*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{2} + a}}{\sqrt{c x}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)/sqrt(c*x), x)","F",0
594,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)/(c*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{2} + a}}{\left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)/(c*x)^(3/2), x)","F",0
595,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)/(c*x)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{2} + a}}{\left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)/(c*x)^(5/2), x)","F",0
596,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)/(c*x)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{2} + a}}{\left(c x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)/(c*x)^(7/2), x)","F",0
597,0,0,0,0.000000," ","integrate((c*x)^(7/2)*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)*(c*x)^(7/2), x)","F",0
598,0,0,0,0.000000," ","integrate((c*x)^(5/2)*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)*(c*x)^(5/2), x)","F",0
599,0,0,0,0.000000," ","integrate((c*x)^(3/2)*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)*(c*x)^(3/2), x)","F",0
600,0,0,0,0.000000," ","integrate((c*x)^(1/2)*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)*sqrt(c*x), x)","F",0
601,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(c*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\sqrt{c x}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/sqrt(c*x), x)","F",0
602,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(c*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/(c*x)^(3/2), x)","F",0
603,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(c*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/(c*x)^(5/2), x)","F",0
604,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(c*x)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\left(c x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/(c*x)^(7/2), x)","F",0
605,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(c*x)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\left(c x\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/(c*x)^(9/2), x)","F",0
606,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(c*x)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\left(c x\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/(c*x)^(11/2), x)","F",0
607,0,0,0,0.000000," ","integrate((c*x)^(5/2)*(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-2 \, a x^{2} + 3 \, a} \left(c x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(-2*a*x^2 + 3*a)*(c*x)^(5/2), x)","F",0
608,0,0,0,0.000000," ","integrate((c*x)^(3/2)*(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-2 \, a x^{2} + 3 \, a} \left(c x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(-2*a*x^2 + 3*a)*(c*x)^(3/2), x)","F",0
609,0,0,0,0.000000," ","integrate((c*x)^(1/2)*(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}\,{d x}"," ",0,"integrate(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x), x)","F",0
610,0,0,0,0.000000," ","integrate((-2*a*x^2+3*a)^(1/2)/(c*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-2 \, a x^{2} + 3 \, a}}{\sqrt{c x}}\,{d x}"," ",0,"integrate(sqrt(-2*a*x^2 + 3*a)/sqrt(c*x), x)","F",0
611,0,0,0,0.000000," ","integrate((-2*a*x^2+3*a)^(1/2)/(c*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-2 \, a x^{2} + 3 \, a}}{\left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*a*x^2 + 3*a)/(c*x)^(3/2), x)","F",0
612,0,0,0,0.000000," ","integrate((-2*a*x^2+3*a)^(1/2)/(c*x)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-2 \, a x^{2} + 3 \, a}}{\left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*a*x^2 + 3*a)/(c*x)^(5/2), x)","F",0
613,0,0,0,0.000000," ","integrate((c*x)^(7/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{7}{2}}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate((c*x)^(7/2)/sqrt(b*x^2 + a), x)","F",0
614,0,0,0,0.000000," ","integrate((c*x)^(5/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{2}}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate((c*x)^(5/2)/sqrt(b*x^2 + a), x)","F",0
615,0,0,0,0.000000," ","integrate((c*x)^(3/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{2}}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate((c*x)^(3/2)/sqrt(b*x^2 + a), x)","F",0
616,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(sqrt(c*x)/sqrt(b*x^2 + a), x)","F",0
617,0,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{2} + a} \sqrt{c x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*sqrt(c*x)), x)","F",0
618,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{2} + a} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*(c*x)^(3/2)), x)","F",0
619,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{2} + a} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*(c*x)^(5/2)), x)","F",0
620,0,0,0,0.000000," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{2} + a} \left(c x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*(c*x)^(7/2)), x)","F",0
621,0,0,0,0.000000," ","integrate((c*x)^(7/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{7}{2}}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^(7/2)/(b*x^2 + a)^(3/2), x)","F",0
622,0,0,0,0.000000," ","integrate((c*x)^(5/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{2}}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^(5/2)/(b*x^2 + a)^(3/2), x)","F",0
623,0,0,0,0.000000," ","integrate((c*x)^(3/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{2}}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^(3/2)/(b*x^2 + a)^(3/2), x)","F",0
624,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x)/(b*x^2 + a)^(3/2), x)","F",0
625,0,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{c x}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/2)*sqrt(c*x)), x)","F",0
626,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/2)*(c*x)^(3/2)), x)","F",0
627,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/2)*(c*x)^(5/2)), x)","F",0
628,0,0,0,0.000000," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/2)*(c*x)^(7/2)), x)","F",0
629,0,0,0,0.000000," ","integrate((c*x)^(7/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{7}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x)^(7/2)/(b*x^2 + a)^(5/2), x)","F",0
630,0,0,0,0.000000," ","integrate((c*x)^(5/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x)^(5/2)/(b*x^2 + a)^(5/2), x)","F",0
631,0,0,0,0.000000," ","integrate((c*x)^(3/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x)^(3/2)/(b*x^2 + a)^(5/2), x)","F",0
632,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x)/(b*x^2 + a)^(5/2), x)","F",0
633,0,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} \sqrt{c x}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/2)*sqrt(c*x)), x)","F",0
634,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/2)*(c*x)^(3/2)), x)","F",0
635,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/2)*(c*x)^(5/2)), x)","F",0
636,0,0,0,0.000000," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{2}} \left(c x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/2)*(c*x)^(7/2)), x)","F",0
637,0,0,0,0.000000," ","integrate((c*x)^(5/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{2}}}{\sqrt{-2 \, a x^{2} + 3 \, a}}\,{d x}"," ",0,"integrate((c*x)^(5/2)/sqrt(-2*a*x^2 + 3*a), x)","F",0
638,0,0,0,0.000000," ","integrate((c*x)^(3/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{2}}}{\sqrt{-2 \, a x^{2} + 3 \, a}}\,{d x}"," ",0,"integrate((c*x)^(3/2)/sqrt(-2*a*x^2 + 3*a), x)","F",0
639,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x}}{\sqrt{-2 \, a x^{2} + 3 \, a}}\,{d x}"," ",0,"integrate(sqrt(c*x)/sqrt(-2*a*x^2 + 3*a), x)","F",0
640,0,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-2 \, a x^{2} + 3 \, a} \sqrt{c x}}\,{d x}"," ",0,"integrate(1/(sqrt(-2*a*x^2 + 3*a)*sqrt(c*x)), x)","F",0
641,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-2 \, a x^{2} + 3 \, a} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-2*a*x^2 + 3*a)*(c*x)^(3/2)), x)","F",0
642,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(-2*a*x^2+3*a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-2 \, a x^{2} + 3 \, a} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-2*a*x^2 + 3*a)*(c*x)^(5/2)), x)","F",0
643,0,0,0,0.000000," ","integrate((c*x)^(5/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{2}}}{{\left(-2 \, a x^{2} + 3 \, a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^(5/2)/(-2*a*x^2 + 3*a)^(3/2), x)","F",0
644,0,0,0,0.000000," ","integrate((c*x)^(3/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{2}}}{{\left(-2 \, a x^{2} + 3 \, a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^(3/2)/(-2*a*x^2 + 3*a)^(3/2), x)","F",0
645,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x}}{{\left(-2 \, a x^{2} + 3 \, a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x)/(-2*a*x^2 + 3*a)^(3/2), x)","F",0
646,0,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-2 \, a x^{2} + 3 \, a\right)}^{\frac{3}{2}} \sqrt{c x}}\,{d x}"," ",0,"integrate(1/((-2*a*x^2 + 3*a)^(3/2)*sqrt(c*x)), x)","F",0
647,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-2 \, a x^{2} + 3 \, a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((-2*a*x^2 + 3*a)^(3/2)*(c*x)^(3/2)), x)","F",0
648,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(-2*a*x^2+3*a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-2 \, a x^{2} + 3 \, a\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((-2*a*x^2 + 3*a)^(3/2)*(c*x)^(5/2)), x)","F",0
649,0,0,0,0.000000," ","integrate(1/x^(1/2)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-a^{2} x^{2} + 1} \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(-a^2*x^2 + 1)*sqrt(x)), x)","F",0
650,0,0,0,0.000000," ","integrate(1/x^(1/2)/(a*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x^{2} + 1} \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(a*x^2 + 1)*sqrt(x)), x)","F",0
651,0,0,0,0.000000," ","integrate(x^m*(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)*x^m, x)","F",0
652,0,0,0,0.000000," ","integrate(x^m*(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{2} + a} x^{m}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)*x^m, x)","F",0
653,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x^2 + a), x)","F",0
654,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^2 + a)^(3/2), x)","F",0
655,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^2 + a)^(5/2), x)","F",0
656,0,0,0,0.000000," ","integrate(x^(2+m)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m + 2}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(x^(m + 2)/sqrt(b*x^2 + a), x)","F",0
657,0,0,0,0.000000," ","integrate(x^(1+m)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m + 1}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(x^(m + 1)/sqrt(b*x^2 + a), x)","F",0
658,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x^2 + a), x)","F",0
659,0,0,0,0.000000," ","integrate(x^(-1+m)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m - 1}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(x^(m - 1)/sqrt(b*x^2 + a), x)","F",0
660,0,0,0,0.000000," ","integrate(x^(-2+m)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m - 2}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(x^(m - 2)/sqrt(b*x^2 + a), x)","F",0
661,1,16,0,1.880954," ","integrate(x^(1+m)*(a*(2+m)+b*(3+m)*x^2)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\sqrt{b x^{2} + a} x^{2} x^{m}"," ",0,"sqrt(b*x^2 + a)*x^2*x^m","A",0
662,1,16,0,1.890117," ","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=""maxima"")","\sqrt{b x^{2} + a} x^{2} x^{m}"," ",0,"sqrt(b*x^2 + a)*x^2*x^m","A",0
663,1,13,0,1.906285," ","integrate(x^(-1+m)*(a*m+b*(-1+m)*x^2)/(b*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x^{2} + a}}"," ",0,"x^m/sqrt(b*x^2 + a)","A",0
664,1,13,0,1.915119," ","integrate(-b*x^(1+m)/(b*x^2+a)^(3/2)+m*x^(-1+m)/(b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x^{2} + a}}"," ",0,"x^m/sqrt(b*x^2 + a)","A",0
665,1,64,0,1.373549," ","integrate(x^7*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{13}{3}}}{26 \, b^{4}} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} a}{20 \, b^{4}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a^{2}}{14 \, b^{4}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{3}}{8 \, b^{4}}"," ",0,"3/26*(b*x^2 + a)^(13/3)/b^4 - 9/20*(b*x^2 + a)^(10/3)*a/b^4 + 9/14*(b*x^2 + a)^(7/3)*a^2/b^4 - 3/8*(b*x^2 + a)^(4/3)*a^3/b^4","A",0
666,1,47,0,1.342472," ","integrate(x^5*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}}}{20 \, b^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a}{7 \, b^{3}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{2}}{8 \, b^{3}}"," ",0,"3/20*(b*x^2 + a)^(10/3)/b^3 - 3/7*(b*x^2 + a)^(7/3)*a/b^3 + 3/8*(b*x^2 + a)^(4/3)*a^2/b^3","A",0
667,1,30,0,1.317914," ","integrate(x^3*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}}}{14 \, b^{2}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a}{8 \, b^{2}}"," ",0,"3/14*(b*x^2 + a)^(7/3)/b^2 - 3/8*(b*x^2 + a)^(4/3)*a/b^2","A",0
668,1,14,0,1.369885," ","integrate(x*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\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
669,1,97,0,3.034909," ","integrate((b*x^2+a)^(1/3)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{3} a^{\frac{1}{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) - \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*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) - 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
670,1,103,0,2.912131," ","integrate((b*x^2+a)^(1/3)/x^3,x, algorithm=""maxima"")","-\frac{\sqrt{3} b \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)}{6 \, a^{\frac{2}{3}}} - \frac{b \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)}{12 \, a^{\frac{2}{3}}} + \frac{b \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{6 \, a^{\frac{2}{3}}} - \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{2 \, x^{2}}"," ",0,"-1/6*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/12*b*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 1/6*b*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(2/3) - 1/2*(b*x^2 + a)^(1/3)/x^2","A",0
671,1,155,0,2.913646," ","integrate((b*x^2+a)^(1/3)/x^5,x, algorithm=""maxima"")","\frac{\sqrt{3} b^{2} \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)}{18 \, a^{\frac{5}{3}}} + \frac{b^{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)}{36 \, a^{\frac{5}{3}}} - \frac{b^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{18 \, a^{\frac{5}{3}}} - \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}} b^{2} + 2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a b^{2}}{12 \, {\left({\left(b x^{2} + a\right)}^{2} a - 2 \, {\left(b x^{2} + a\right)} a^{2} + a^{3}\right)}}"," ",0,"1/18*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) + 1/36*b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 1/18*b^2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(5/3) - 1/12*((b*x^2 + a)^(4/3)*b^2 + 2*(b*x^2 + a)^(1/3)*a*b^2)/((b*x^2 + a)^2*a - 2*(b*x^2 + a)*a^2 + a^3)","A",0
672,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} x^{4}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*x^4, x)","F",0
673,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} x^{2}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*x^2, x)","F",0
674,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3), x)","F",0
675,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/x^2, x)","F",0
676,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/x^4, x)","F",0
677,1,64,0,1.303454," ","integrate(x^7*(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{14}{3}}}{28 \, b^{4}} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{11}{3}} a}{22 \, b^{4}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} a^{2}}{16 \, b^{4}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a^{3}}{10 \, b^{4}}"," ",0,"3/28*(b*x^2 + a)^(14/3)/b^4 - 9/22*(b*x^2 + a)^(11/3)*a/b^4 + 9/16*(b*x^2 + a)^(8/3)*a^2/b^4 - 3/10*(b*x^2 + a)^(5/3)*a^3/b^4","A",0
678,1,47,0,1.354347," ","integrate(x^5*(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{11}{3}}}{22 \, b^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} a}{8 \, b^{3}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a^{2}}{10 \, b^{3}}"," ",0,"3/22*(b*x^2 + a)^(11/3)/b^3 - 3/8*(b*x^2 + a)^(8/3)*a/b^3 + 3/10*(b*x^2 + a)^(5/3)*a^2/b^3","A",0
679,1,30,0,1.350592," ","integrate(x^3*(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}}}{16 \, b^{2}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a}{10 \, b^{2}}"," ",0,"3/16*(b*x^2 + a)^(8/3)/b^2 - 3/10*(b*x^2 + a)^(5/3)*a/b^2","A",0
680,1,14,0,1.327239," ","integrate(x*(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\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
681,1,97,0,2.970510," ","integrate((b*x^2+a)^(2/3)/x,x, algorithm=""maxima"")","\frac{1}{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) - \frac{1}{4} \, 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) + \frac{1}{2} \, a^{\frac{2}{3}} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + \frac{3}{4} \, {\left(b x^{2} + a\right)}^{\frac{2}{3}}"," ",0,"1/2*sqrt(3)*a^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/4*a^(2/3)*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 1/2*a^(2/3)*log((b*x^2 + a)^(1/3) - a^(1/3)) + 3/4*(b*x^2 + a)^(2/3)","A",0
682,1,103,0,2.970579," ","integrate((b*x^2+a)^(2/3)/x^3,x, algorithm=""maxima"")","\frac{\sqrt{3} b \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)}{3 \, a^{\frac{1}{3}}} - \frac{b \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)}{6 \, a^{\frac{1}{3}}} + \frac{b \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{1}{3}}} - \frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 1/6*b*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + 1/3*b*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(1/3) - 1/2*(b*x^2 + a)^(2/3)/x^2","A",0
683,1,155,0,3.018650," ","integrate((b*x^2+a)^(2/3)/x^5,x, algorithm=""maxima"")","-\frac{\sqrt{3} b^{2} \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)}{18 \, a^{\frac{4}{3}}} + \frac{b^{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)}{36 \, a^{\frac{4}{3}}} - \frac{b^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{18 \, a^{\frac{4}{3}}} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} b^{2} + {\left(b x^{2} + a\right)}^{\frac{2}{3}} a b^{2}}{12 \, {\left({\left(b x^{2} + a\right)}^{2} a - 2 \, {\left(b x^{2} + a\right)} a^{2} + a^{3}\right)}}"," ",0,"-1/18*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) + 1/36*b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) - 1/18*b^2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(4/3) - 1/12*(2*(b*x^2 + a)^(5/3)*b^2 + (b*x^2 + a)^(2/3)*a*b^2)/((b*x^2 + a)^2*a - 2*(b*x^2 + a)*a^2 + a^3)","A",0
684,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{4}\,{d x}"," ",0,"integrate((b*x^2 + a)^(2/3)*x^4, x)","F",0
685,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{2}\,{d x}"," ",0,"integrate((b*x^2 + a)^(2/3)*x^2, x)","F",0
686,0,0,0,0.000000," ","integrate((b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(2/3), x)","F",0
687,0,0,0,0.000000," ","integrate((b*x^2+a)^(2/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(2/3)/x^2, x)","F",0
688,0,0,0,0.000000," ","integrate((b*x^2+a)^(2/3)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(2/3)/x^4, x)","F",0
689,1,64,0,1.383995," ","integrate(x^7*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{16}{3}}}{32 \, b^{4}} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{13}{3}} a}{26 \, b^{4}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} a^{2}}{20 \, b^{4}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a^{3}}{14 \, b^{4}}"," ",0,"3/32*(b*x^2 + a)^(16/3)/b^4 - 9/26*(b*x^2 + a)^(13/3)*a/b^4 + 9/20*(b*x^2 + a)^(10/3)*a^2/b^4 - 3/14*(b*x^2 + a)^(7/3)*a^3/b^4","A",0
690,1,47,0,1.334682," ","integrate(x^5*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{13}{3}}}{26 \, b^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} a}{10 \, b^{3}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a^{2}}{14 \, b^{3}}"," ",0,"3/26*(b*x^2 + a)^(13/3)/b^3 - 3/10*(b*x^2 + a)^(10/3)*a/b^3 + 3/14*(b*x^2 + a)^(7/3)*a^2/b^3","A",0
691,1,30,0,1.323633," ","integrate(x^3*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}}}{20 \, b^{2}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a}{14 \, b^{2}}"," ",0,"3/20*(b*x^2 + a)^(10/3)/b^2 - 3/14*(b*x^2 + a)^(7/3)*a/b^2","A",0
692,1,14,0,1.332888," ","integrate(x*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}}}{14 \, b}"," ",0,"3/14*(b*x^2 + a)^(7/3)/b","A",0
693,1,109,0,3.056802," ","integrate((b*x^2+a)^(4/3)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{3} a^{\frac{4}{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) - \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} + a\right)}^{\frac{4}{3}} + \frac{3}{2} \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a"," ",0,"-1/2*sqrt(3)*a^(4/3)*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) - 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 + a)^(4/3) + 3/2*(b*x^2 + a)^(1/3)*a","A",0
694,1,116,0,2.900661," ","integrate((b*x^2+a)^(4/3)/x^3,x, algorithm=""maxima"")","-\frac{2}{3} \, \sqrt{3} a^{\frac{1}{3}} b \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) - \frac{1}{3} \, a^{\frac{1}{3}} b \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{2}{3} \, a^{\frac{1}{3}} b \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}} b - \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} a}{2 \, x^{2}}"," ",0,"-2/3*sqrt(3)*a^(1/3)*b*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/3*a^(1/3)*b*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) + 2/3*a^(1/3)*b*log((b*x^2 + a)^(1/3) - a^(1/3)) + 3/2*(b*x^2 + a)^(1/3)*b - 1/2*(b*x^2 + a)^(1/3)*a/x^2","A",0
695,1,152,0,3.084742," ","integrate((b*x^2+a)^(4/3)/x^5,x, algorithm=""maxima"")","-\frac{\sqrt{3} b^{2} \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)}{9 \, a^{\frac{2}{3}}} - \frac{b^{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)}{18 \, a^{\frac{2}{3}}} + \frac{b^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{2}{3}}} - \frac{7 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} b^{2} - 4 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a b^{2}}{12 \, {\left({\left(b x^{2} + a\right)}^{2} - 2 \, {\left(b x^{2} + a\right)} a + a^{2}\right)}}"," ",0,"-1/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/18*b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 1/9*b^2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(2/3) - 1/12*(7*(b*x^2 + a)^(4/3)*b^2 - 4*(b*x^2 + a)^(1/3)*a*b^2)/((b*x^2 + a)^2 - 2*(b*x^2 + a)*a + a^2)","A",0
696,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} x^{4}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*x^4, x)","F",0
697,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} x^{2}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*x^2, x)","F",0
698,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3), x)","F",0
699,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/x^2, x)","F",0
700,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/x^4, x)","F",0
701,1,9,0,1.319095," ","integrate(x*(x^2-1)^(7/3),x, algorithm=""maxima"")","\frac{3}{20} \, {\left(x^{2} - 1\right)}^{\frac{10}{3}}"," ",0,"3/20*(x^2 - 1)^(10/3)","A",0
702,1,64,0,1.355088," ","integrate(x^7/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{11}{3}}}{22 \, b^{4}} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} a}{16 \, b^{4}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a^{2}}{10 \, b^{4}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{3}}{4 \, b^{4}}"," ",0,"3/22*(b*x^2 + a)^(11/3)/b^4 - 9/16*(b*x^2 + a)^(8/3)*a/b^4 + 9/10*(b*x^2 + a)^(5/3)*a^2/b^4 - 3/4*(b*x^2 + a)^(2/3)*a^3/b^4","A",0
703,1,47,0,1.296610," ","integrate(x^5/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}}}{16 \, b^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a}{5 \, b^{3}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{2}}{4 \, b^{3}}"," ",0,"3/16*(b*x^2 + a)^(8/3)/b^3 - 3/5*(b*x^2 + a)^(5/3)*a/b^3 + 3/4*(b*x^2 + a)^(2/3)*a^2/b^3","A",0
704,1,30,0,1.400438," ","integrate(x^3/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}}}{10 \, b^{2}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{4 \, b^{2}}"," ",0,"3/10*(b*x^2 + a)^(5/3)/b^2 - 3/4*(b*x^2 + a)^(2/3)*a/b^2","A",0
705,1,14,0,1.295947," ","integrate(x/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\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
706,1,86,0,2.975102," ","integrate(1/x/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{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)}{2 \, a^{\frac{1}{3}}} - \frac{\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}}} + \frac{\log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{2 \, a^{\frac{1}{3}}}"," ",0,"1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 1/4*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + 1/2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(1/3)","A",0
707,1,118,0,2.946286," ","integrate(1/x^3/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} b \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)}{6 \, a^{\frac{4}{3}}} - \frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}} b}{2 \, {\left({\left(b x^{2} + a\right)} a - a^{2}\right)}} + \frac{b \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)}{12 \, a^{\frac{4}{3}}} - \frac{b \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{6 \, a^{\frac{4}{3}}}"," ",0,"-1/6*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - 1/2*(b*x^2 + a)^(2/3)*b/((b*x^2 + a)*a - a^2) + 1/12*b*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) - 1/6*b*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(4/3)","A",0
708,1,158,0,2.973231," ","integrate(1/x^5/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} b^{2} \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)}{9 \, a^{\frac{7}{3}}} - \frac{b^{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)}{18 \, a^{\frac{7}{3}}} + \frac{b^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{7}{3}}} + \frac{4 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} b^{2} - 7 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a b^{2}}{12 \, {\left({\left(b x^{2} + a\right)}^{2} a^{2} - 2 \, {\left(b x^{2} + a\right)} a^{3} + a^{4}\right)}}"," ",0,"1/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(7/3) - 1/18*b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) + 1/9*b^2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(7/3) + 1/12*(4*(b*x^2 + a)^(5/3)*b^2 - 7*(b*x^2 + a)^(2/3)*a*b^2)/((b*x^2 + a)^2*a^2 - 2*(b*x^2 + a)*a^3 + a^4)","A",0
709,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(1/3), x)","F",0
710,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(1/3), x)","F",0
711,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-1/3), x)","F",0
712,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/3)*x^2), x)","F",0
713,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{3}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/3)*x^4), x)","F",0
714,1,64,0,1.336549," ","integrate(x^7/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}}}{20 \, b^{4}} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a}{14 \, b^{4}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{2}}{8 \, b^{4}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{3}}{2 \, b^{4}}"," ",0,"3/20*(b*x^2 + a)^(10/3)/b^4 - 9/14*(b*x^2 + a)^(7/3)*a/b^4 + 9/8*(b*x^2 + a)^(4/3)*a^2/b^4 - 3/2*(b*x^2 + a)^(1/3)*a^3/b^4","A",0
715,1,47,0,1.328633," ","integrate(x^5/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}}}{14 \, b^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a}{4 \, b^{3}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{2}}{2 \, b^{3}}"," ",0,"3/14*(b*x^2 + a)^(7/3)/b^3 - 3/4*(b*x^2 + a)^(4/3)*a/b^3 + 3/2*(b*x^2 + a)^(1/3)*a^2/b^3","A",0
716,1,30,0,1.338858," ","integrate(x^3/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}}}{8 \, b^{2}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a}{2 \, b^{2}}"," ",0,"3/8*(b*x^2 + a)^(4/3)/b^2 - 3/2*(b*x^2 + a)^(1/3)*a/b^2","A",0
717,1,14,0,1.239053," ","integrate(x/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\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
718,1,86,0,3.093363," ","integrate(1/x/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","-\frac{\sqrt{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)}{2 \, a^{\frac{2}{3}}} - \frac{\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}}} + \frac{\log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{2 \, a^{\frac{2}{3}}}"," ",0,"-1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/4*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 1/2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(2/3)","A",0
719,1,118,0,2.957632," ","integrate(1/x^3/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{\sqrt{3} b \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)}{3 \, a^{\frac{5}{3}}} - \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}} b}{2 \, {\left({\left(b x^{2} + a\right)} a - a^{2}\right)}} + \frac{b \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)}{6 \, a^{\frac{5}{3}}} - \frac{b \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{5}{3}}}"," ",0,"1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) - 1/2*(b*x^2 + a)^(1/3)*b/((b*x^2 + a)*a - a^2) + 1/6*b*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 1/3*b*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(5/3)","A",0
720,1,158,0,2.979804," ","integrate(1/x^5/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","-\frac{5 \, \sqrt{3} b^{2} \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)}{18 \, a^{\frac{8}{3}}} - \frac{5 \, b^{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)}{36 \, a^{\frac{8}{3}}} + \frac{5 \, b^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{18 \, a^{\frac{8}{3}}} + \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} b^{2} - 8 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a b^{2}}{12 \, {\left({\left(b x^{2} + a\right)}^{2} a^{2} - 2 \, {\left(b x^{2} + a\right)} a^{3} + a^{4}\right)}}"," ",0,"-5/18*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(8/3) - 5/36*b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(8/3) + 5/18*b^2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(8/3) + 1/12*(5*(b*x^2 + a)^(4/3)*b^2 - 8*(b*x^2 + a)^(1/3)*a*b^2)/((b*x^2 + a)^2*a^2 - 2*(b*x^2 + a)*a^3 + a^4)","A",0
721,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(2/3), x)","F",0
722,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(2/3), x)","F",0
723,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-2/3), x)","F",0
724,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*x^2), x)","F",0
725,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*x^4), x)","F",0
726,1,64,0,1.338471," ","integrate(x^7/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}}}{16 \, b^{4}} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a}{10 \, b^{4}} + \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{2}}{4 \, b^{4}} + \frac{3 \, a^{3}}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b^{4}}"," ",0,"3/16*(b*x^2 + a)^(8/3)/b^4 - 9/10*(b*x^2 + a)^(5/3)*a/b^4 + 9/4*(b*x^2 + a)^(2/3)*a^2/b^4 + 3/2*a^3/((b*x^2 + a)^(1/3)*b^4)","A",0
727,1,47,0,1.282851," ","integrate(x^5/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}}}{10 \, b^{3}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a}{2 \, b^{3}} - \frac{3 \, a^{2}}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b^{3}}"," ",0,"3/10*(b*x^2 + a)^(5/3)/b^3 - 3/2*(b*x^2 + a)^(2/3)*a/b^3 - 3/2*a^2/((b*x^2 + a)^(1/3)*b^3)","A",0
728,1,30,0,1.353274," ","integrate(x^3/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}}}{4 \, b^{2}} + \frac{3 \, a}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b^{2}}"," ",0,"3/4*(b*x^2 + a)^(2/3)/b^2 + 3/2*a/((b*x^2 + a)^(1/3)*b^2)","A",0
729,1,14,0,1.315870," ","integrate(x/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","-\frac{3}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b}"," ",0,"-3/2/((b*x^2 + a)^(1/3)*b)","A",0
730,1,100,0,3.019829," ","integrate(1/x/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{\sqrt{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)}{2 \, a^{\frac{4}{3}}} - \frac{\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{4}{3}}} + \frac{\log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{2 \, a^{\frac{4}{3}}} + \frac{3}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a}"," ",0,"1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - 1/4*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) + 1/2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(4/3) + 3/2/((b*x^2 + a)^(1/3)*a)","A",0
731,1,136,0,3.009778," ","integrate(1/x^3/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{3} b \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)}{3 \, a^{\frac{7}{3}}} - \frac{4 \, {\left(b x^{2} + a\right)} b - 3 \, a b}{2 \, {\left({\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{2} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{3}\right)}} + \frac{b \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)}{3 \, a^{\frac{7}{3}}} - \frac{2 \, b \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{7}{3}}}"," ",0,"-2/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(7/3) - 1/2*(4*(b*x^2 + a)*b - 3*a*b)/((b*x^2 + a)^(4/3)*a^2 - (b*x^2 + a)^(1/3)*a^3) + 1/3*b*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) - 2/3*b*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(7/3)","A",0
732,1,176,0,2.972286," ","integrate(1/x^5/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\frac{7 \, \sqrt{3} b^{2} \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)}{9 \, a^{\frac{10}{3}}} + \frac{28 \, {\left(b x^{2} + a\right)}^{2} b^{2} - 49 \, {\left(b x^{2} + a\right)} a b^{2} + 18 \, a^{2} b^{2}}{12 \, {\left({\left(b x^{2} + a\right)}^{\frac{7}{3}} a^{3} - 2 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{4} + {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{5}\right)}} - \frac{7 \, b^{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)}{18 \, a^{\frac{10}{3}}} + \frac{7 \, b^{2} \log\left({\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{10}{3}}}"," ",0,"7/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(10/3) + 1/12*(28*(b*x^2 + a)^2*b^2 - 49*(b*x^2 + a)*a*b^2 + 18*a^2*b^2)/((b*x^2 + a)^(7/3)*a^3 - 2*(b*x^2 + a)^(4/3)*a^4 + (b*x^2 + a)^(1/3)*a^5) - 7/18*b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(10/3) + 7/9*b^2*log((b*x^2 + a)^(1/3) - a^(1/3))/a^(10/3)","A",0
733,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(4/3), x)","F",0
734,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(4/3), x)","F",0
735,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-4/3), x)","F",0
736,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{4}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(4/3)*x^2), x)","F",0
737,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{4}{3}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(4/3)*x^4), x)","F",0
738,0,0,0,0.000000," ","integrate((c*x)^(13/3)*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{13}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*(c*x)^(13/3), x)","F",0
739,0,0,0,0.000000," ","integrate((c*x)^(7/3)*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{7}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*(c*x)^(7/3), x)","F",0
740,0,0,0,0.000000," ","integrate((c*x)^(1/3)*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*(c*x)^(1/3), x)","F",0
741,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(5/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(5/3), x)","F",0
742,1,35,0,1.452598," ","integrate((b*x^2+a)^(1/3)/(c*x)^(11/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(b c^{\frac{1}{3}} x^{3} + a c^{\frac{1}{3}} x\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{8 \, a c^{4} x^{\frac{11}{3}}}"," ",0,"-3/8*(b*c^(1/3)*x^3 + a*c^(1/3)*x)*(b*x^2 + a)^(1/3)/(a*c^4*x^(11/3))","A",0
743,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(17/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{17}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(17/3), x)","F",0
744,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(23/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{23}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(23/3), x)","F",0
745,1,64,0,1.474180," ","integrate((b*x^2+a)^(1/3)/(c*x)^(29/3),x, algorithm=""maxima"")","\frac{3 \, {\left(81 \, b^{4} x^{9} - 27 \, a b^{3} x^{7} + 18 \, a^{2} b^{2} x^{5} - 14 \, a^{3} b x^{3} - 140 \, a^{4} x\right)} {\left(b x^{2} + a\right)}^{\frac{1}{3}}}{3640 \, a^{4} c^{\frac{29}{3}} x^{\frac{29}{3}}}"," ",0,"3/3640*(81*b^4*x^9 - 27*a*b^3*x^7 + 18*a^2*b^2*x^5 - 14*a^3*b*x^3 - 140*a^4*x)*(b*x^2 + a)^(1/3)/(a^4*c^(29/3)*x^(29/3))","A",0
746,0,0,0,0.000000," ","integrate((c*x)^(10/3)*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{10}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*(c*x)^(10/3), x)","F",0
747,0,0,0,0.000000," ","integrate((c*x)^(4/3)*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*(c*x)^(4/3), x)","F",0
748,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(2/3), x)","F",0
749,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(8/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{8}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(8/3), x)","F",0
750,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(14/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{14}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(14/3), x)","F",0
751,0,0,0,0.000000," ","integrate((c*x)^(2/3)*(b*x^2+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{3}} \left(c x\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)*(c*x)^(2/3), x)","F",0
752,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(1/3), x)","F",0
753,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(4/3), x)","F",0
754,0,0,0,0.000000," ","integrate((c*x)^(13/3)*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{13}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*(c*x)^(13/3), x)","F",0
755,0,0,0,0.000000," ","integrate((c*x)^(7/3)*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{7}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*(c*x)^(7/3), x)","F",0
756,0,0,0,0.000000," ","integrate((c*x)^(1/3)*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*(c*x)^(1/3), x)","F",0
757,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(5/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(5/3), x)","F",0
758,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(11/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{11}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(11/3), x)","F",0
759,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(17/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{17}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(17/3), x)","F",0
760,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(23/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{23}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(23/3), x)","F",0
761,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(29/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{29}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(29/3), x)","F",0
762,0,0,0,0.000000," ","integrate((c*x)^(10/3)*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{10}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*(c*x)^(10/3), x)","F",0
763,0,0,0,0.000000," ","integrate((c*x)^(4/3)*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*(c*x)^(4/3), x)","F",0
764,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(2/3), x)","F",0
765,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(8/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{8}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(8/3), x)","F",0
766,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(14/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{14}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(14/3), x)","F",0
767,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(20/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{20}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(20/3), x)","F",0
768,0,0,0,0.000000," ","integrate((c*x)^(2/3)*(b*x^2+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{4}{3}} \left(c x\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)*(c*x)^(2/3), x)","F",0
769,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(1/3), x)","F",0
770,0,0,0,0.000000," ","integrate((b*x^2+a)^(4/3)/(c*x)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{4}{3}}}{\left(c x\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(4/3)/(c*x)^(4/3), x)","F",0
771,0,0,0,0.000000," ","integrate((c*x)^(19/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{19}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x)^(19/3)/(b*x^2 + a)^(2/3), x)","F",0
772,0,0,0,0.000000," ","integrate((c*x)^(13/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{13}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x)^(13/3)/(b*x^2 + a)^(2/3), x)","F",0
773,0,0,0,0.000000," ","integrate((c*x)^(7/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{7}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x)^(7/3)/(b*x^2 + a)^(2/3), x)","F",0
774,0,0,0,0.000000," ","integrate((c*x)^(1/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{1}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x)^(1/3)/(b*x^2 + a)^(2/3), x)","F",0
775,1,35,0,1.472974," ","integrate(1/(c*x)^(5/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(b c^{\frac{1}{3}} x^{3} + a c^{\frac{1}{3}} x\right)}}{2 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a c^{2} x^{\frac{5}{3}}}"," ",0,"-3/2*(b*c^(1/3)*x^3 + a*c^(1/3)*x)/((b*x^2 + a)^(2/3)*a*c^2*x^(5/3))","A",0
776,0,0,0,0.000000," ","integrate(1/(c*x)^(11/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{11}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(11/3)), x)","F",0
777,0,0,0,0.000000," ","integrate(1/(c*x)^(17/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{17}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(17/3)), x)","F",0
778,1,64,0,1.535805," ","integrate(1/(c*x)^(23/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(81 \, b^{4} x^{9} + 54 \, a b^{3} x^{7} - 9 \, a^{2} b^{2} x^{5} + 4 \, a^{3} b x^{3} - 14 \, a^{4} x\right)}}{280 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{4} c^{\frac{23}{3}} x^{\frac{23}{3}}}"," ",0,"3/280*(81*b^4*x^9 + 54*a*b^3*x^7 - 9*a^2*b^2*x^5 + 4*a^3*b*x^3 - 14*a^4*x)/((b*x^2 + a)^(2/3)*a^4*c^(23/3)*x^(23/3))","A",0
779,0,0,0,0.000000," ","integrate((c*x)^(10/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{10}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x)^(10/3)/(b*x^2 + a)^(2/3), x)","F",0
780,0,0,0,0.000000," ","integrate((c*x)^(4/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{4}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x)^(4/3)/(b*x^2 + a)^(2/3), x)","F",0
781,0,0,0,0.000000," ","integrate(1/(c*x)^(2/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(2/3)), x)","F",0
782,0,0,0,0.000000," ","integrate(1/(c*x)^(8/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{8}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(8/3)), x)","F",0
783,0,0,0,0.000000," ","integrate(1/(c*x)^(14/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{14}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(14/3)), x)","F",0
784,0,0,0,0.000000," ","integrate((c*x)^(2/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{2}{3}}}{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x)^(2/3)/(b*x^2 + a)^(2/3), x)","F",0
785,0,0,0,0.000000," ","integrate(1/(c*x)^(1/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(1/3)), x)","F",0
786,0,0,0,0.000000," ","integrate(1/(c*x)^(4/3)/(b*x^2+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(4/3)), x)","F",0
787,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{4}} x^{4}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)*x^4, x)","F",0
788,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{4}} x^{2}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)*x^2, x)","F",0
789,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4), x)","F",0
790,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)/x^2, x)","F",0
791,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)/x^4, x)","F",0
792,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{x^{6}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)/x^6, x)","F",0
793,0,0,0,0.000000," ","integrate(x^4*(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{4}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(1/4)*x^4, x)","F",0
794,0,0,0,0.000000," ","integrate(x^2*(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{2}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(1/4)*x^2, x)","F",0
795,0,0,0,0.000000," ","integrate((-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(1/4), x)","F",0
796,0,0,0,0.000000," ","integrate((-b*x^2+a)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(1/4)/x^2, x)","F",0
797,0,0,0,0.000000," ","integrate((-b*x^2+a)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(1/4)/x^4, x)","F",0
798,0,0,0,0.000000," ","integrate((-b*x^2+a)^(1/4)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}{x^{6}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(1/4)/x^6, x)","F",0
799,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{4}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/4)*x^4, x)","F",0
800,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{2}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/4)*x^2, x)","F",0
801,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/4), x)","F",0
802,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/4)/x^2, x)","F",0
803,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/4)/x^4, x)","F",0
804,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/4)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}{x^{6}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/4)/x^6, x)","F",0
805,0,0,0,0.000000," ","integrate(x^4*(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{4}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(3/4)*x^4, x)","F",0
806,0,0,0,0.000000," ","integrate(x^2*(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{2}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(3/4)*x^2, x)","F",0
807,0,0,0,0.000000," ","integrate((-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(3/4), x)","F",0
808,0,0,0,0.000000," ","integrate((-b*x^2+a)^(3/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(3/4)/x^2, x)","F",0
809,0,0,0,0.000000," ","integrate((-b*x^2+a)^(3/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(3/4)/x^4, x)","F",0
810,0,0,0,0.000000," ","integrate((-b*x^2+a)^(3/4)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}{x^{6}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(3/4)/x^6, x)","F",0
811,0,0,0,0.000000," ","integrate((b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(5/4), x)","F",0
812,0,0,0,0.000000," ","integrate((-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(5/4), x)","F",0
813,0,0,0,0.000000," ","integrate((b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{7}{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(7/4), x)","F",0
814,0,0,0,0.000000," ","integrate((-b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int {\left(-b x^{2} + a\right)}^{\frac{7}{4}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(7/4), x)","F",0
815,0,0,0,0.000000," ","integrate(x^6/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(b*x^2 + a)^(1/4), x)","F",0
816,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(1/4), x)","F",0
817,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(1/4), x)","F",0
818,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-1/4), x)","F",0
819,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/4)*x^2), x)","F",0
820,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/4)*x^4), x)","F",0
821,0,0,0,0.000000," ","integrate(1/x^6/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/4)*x^6), x)","F",0
822,0,0,0,0.000000," ","integrate(x^6/(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(-b*x^2 + a)^(1/4), x)","F",0
823,0,0,0,0.000000," ","integrate(x^4/(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/(-b*x^2 + a)^(1/4), x)","F",0
824,0,0,0,0.000000," ","integrate(x^2/(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(-b*x^2 + a)^(1/4), x)","F",0
825,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(-1/4), x)","F",0
826,0,0,0,0.000000," ","integrate(1/x^2/(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(1/4)*x^2), x)","F",0
827,0,0,0,0.000000," ","integrate(1/x^4/(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(1/4)*x^4), x)","F",0
828,0,0,0,0.000000," ","integrate(1/x^6/(-b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(1/4)*x^6), x)","F",0
829,0,0,0,0.000000," ","integrate(x^6/(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/(b*x^2 + a)^(3/4), x)","F",0
830,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(3/4), x)","F",0
831,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(3/4), x)","F",0
832,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-3/4), x)","F",0
833,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/4)*x^2), x)","F",0
834,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/4)*x^4), x)","F",0
835,0,0,0,0.000000," ","integrate(1/x^6/(b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{3}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(3/4)*x^6), x)","F",0
836,0,0,0,0.000000," ","integrate(x^6/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/(-b*x^2 + a)^(3/4), x)","F",0
837,0,0,0,0.000000," ","integrate(x^4/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(-b*x^2 + a)^(3/4), x)","F",0
838,0,0,0,0.000000," ","integrate(x^2/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/(-b*x^2 + a)^(3/4), x)","F",0
839,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(-3/4), x)","F",0
840,0,0,0,0.000000," ","integrate(1/x^2/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(3/4)*x^2), x)","F",0
841,0,0,0,0.000000," ","integrate(1/x^4/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(3/4)*x^4), x)","F",0
842,0,0,0,0.000000," ","integrate(1/x^6/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(3/4)*x^6), x)","F",0
843,0,0,0,0.000000," ","integrate(x^6/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^6/(b*x^2 + a)^(5/4), x)","F",0
844,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(5/4), x)","F",0
845,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(5/4), x)","F",0
846,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-5/4), x)","F",0
847,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*x^2), x)","F",0
848,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*x^4), x)","F",0
849,0,0,0,0.000000," ","integrate(1/x^6/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*x^6), x)","F",0
850,0,0,0,0.000000," ","integrate(x^6/(-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^6/(-b*x^2 + a)^(5/4), x)","F",0
851,0,0,0,0.000000," ","integrate(x^4/(-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^4/(-b*x^2 + a)^(5/4), x)","F",0
852,0,0,0,0.000000," ","integrate(x^2/(-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^2/(-b*x^2 + a)^(5/4), x)","F",0
853,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(-5/4), x)","F",0
854,0,0,0,0.000000," ","integrate(1/x^2/(-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{5}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(5/4)*x^2), x)","F",0
855,0,0,0,0.000000," ","integrate(1/x^4/(-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{5}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(5/4)*x^4), x)","F",0
856,0,0,0,0.000000," ","integrate(1/x^6/(-b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{5}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(5/4)*x^6), x)","F",0
857,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-7/4), x)","F",0
858,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-9/4), x)","F",0
859,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(11/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-11/4), x)","F",0
860,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(-7/4), x)","F",0
861,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(-9/4), x)","F",0
862,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(11/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(-11/4), x)","F",0
863,0,0,0,0.000000," ","integrate(x^6/(3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(3*x^2 + 2)^(1/4), x)","F",0
864,0,0,0,0.000000," ","integrate(x^4/(3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/(3*x^2 + 2)^(1/4), x)","F",0
865,0,0,0,0.000000," ","integrate(x^2/(3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(3*x^2 + 2)^(1/4), x)","F",0
866,0,0,0,0.000000," ","integrate(1/(3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)^(-1/4), x)","F",0
867,0,0,0,0.000000," ","integrate(1/x^2/(3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 2)^(1/4)*x^2), x)","F",0
868,0,0,0,0.000000," ","integrate(1/x^4/(3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 2)^(1/4)*x^4), x)","F",0
869,0,0,0,0.000000," ","integrate(1/x^6/(3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 2)^(1/4)*x^6), x)","F",0
870,0,0,0,0.000000," ","integrate(x^6/(-3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(-3*x^2 + 2)^(1/4), x)","F",0
871,0,0,0,0.000000," ","integrate(x^4/(-3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/(-3*x^2 + 2)^(1/4), x)","F",0
872,0,0,0,0.000000," ","integrate(x^2/(-3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(-3*x^2 + 2)^(1/4), x)","F",0
873,0,0,0,0.000000," ","integrate(1/(-3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-3*x^2 + 2)^(-1/4), x)","F",0
874,0,0,0,0.000000," ","integrate(1/x^2/(-3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-3*x^2 + 2)^(1/4)*x^2), x)","F",0
875,0,0,0,0.000000," ","integrate(1/x^4/(-3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-3*x^2 + 2)^(1/4)*x^4), x)","F",0
876,0,0,0,0.000000," ","integrate(1/x^6/(-3*x^2+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-3*x^2 + 2)^(1/4)*x^6), x)","F",0
877,0,0,0,0.000000," ","integrate(x^6/(3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/(3*x^2 + 2)^(3/4), x)","F",0
878,0,0,0,0.000000," ","integrate(x^4/(3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(3*x^2 + 2)^(3/4), x)","F",0
879,0,0,0,0.000000," ","integrate(x^2/(3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/(3*x^2 + 2)^(3/4), x)","F",0
880,0,0,0,0.000000," ","integrate(1/(3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)^(-3/4), x)","F",0
881,0,0,0,0.000000," ","integrate(1/x^2/(3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 2)^(3/4)*x^2), x)","F",0
882,0,0,0,0.000000," ","integrate(1/x^4/(3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 2)^(3/4)*x^4), x)","F",0
883,0,0,0,0.000000," ","integrate(1/x^6/(3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 2)^(3/4)*x^6), x)","F",0
884,0,0,0,0.000000," ","integrate(x^6/(-3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/(-3*x^2 + 2)^(3/4), x)","F",0
885,0,0,0,0.000000," ","integrate(x^4/(-3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(-3*x^2 + 2)^(3/4), x)","F",0
886,0,0,0,0.000000," ","integrate(x^2/(-3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/(-3*x^2 + 2)^(3/4), x)","F",0
887,0,0,0,0.000000," ","integrate(1/(-3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-3*x^2 + 2)^(-3/4), x)","F",0
888,0,0,0,0.000000," ","integrate(1/x^2/(-3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-3*x^2 + 2)^(3/4)*x^2), x)","F",0
889,0,0,0,0.000000," ","integrate(1/x^4/(-3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-3*x^2 + 2)^(3/4)*x^4), x)","F",0
890,0,0,0,0.000000," ","integrate(1/x^6/(-3*x^2+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} + 2\right)}^{\frac{3}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-3*x^2 + 2)^(3/4)*x^6), x)","F",0
891,0,0,0,0.000000," ","integrate(x^6/(3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(3*x^2 - 2)^(1/4), x)","F",0
892,0,0,0,0.000000," ","integrate(x^4/(3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/(3*x^2 - 2)^(1/4), x)","F",0
893,0,0,0,0.000000," ","integrate(x^2/(3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(3*x^2 - 2)^(1/4), x)","F",0
894,0,0,0,0.000000," ","integrate(1/(3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((3*x^2 - 2)^(-1/4), x)","F",0
895,0,0,0,0.000000," ","integrate(1/x^2/(3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((3*x^2 - 2)^(1/4)*x^2), x)","F",0
896,0,0,0,0.000000," ","integrate(1/x^4/(3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((3*x^2 - 2)^(1/4)*x^4), x)","F",0
897,0,0,0,0.000000," ","integrate(1/x^6/(3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((3*x^2 - 2)^(1/4)*x^6), x)","F",0
898,0,0,0,0.000000," ","integrate(x^6/(-3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(-3*x^2 - 2)^(1/4), x)","F",0
899,0,0,0,0.000000," ","integrate(x^4/(-3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/(-3*x^2 - 2)^(1/4), x)","F",0
900,0,0,0,0.000000," ","integrate(x^2/(-3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(-3*x^2 - 2)^(1/4), x)","F",0
901,0,0,0,0.000000," ","integrate(1/(-3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-3*x^2 - 2)^(-1/4), x)","F",0
902,0,0,0,0.000000," ","integrate(1/x^2/(-3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-3*x^2 - 2)^(1/4)*x^2), x)","F",0
903,0,0,0,0.000000," ","integrate(1/x^4/(-3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-3*x^2 - 2)^(1/4)*x^4), x)","F",0
904,0,0,0,0.000000," ","integrate(1/x^6/(-3*x^2-2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-3*x^2 - 2)^(1/4)*x^6), x)","F",0
905,0,0,0,0.000000," ","integrate(x^6/(3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/(3*x^2 - 2)^(3/4), x)","F",0
906,0,0,0,0.000000," ","integrate(x^4/(3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(3*x^2 - 2)^(3/4), x)","F",0
907,0,0,0,0.000000," ","integrate(x^2/(3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/(3*x^2 - 2)^(3/4), x)","F",0
908,0,0,0,0.000000," ","integrate(1/(3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((3*x^2 - 2)^(-3/4), x)","F",0
909,0,0,0,0.000000," ","integrate(1/x^2/(3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((3*x^2 - 2)^(3/4)*x^2), x)","F",0
910,0,0,0,0.000000," ","integrate(1/x^4/(3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((3*x^2 - 2)^(3/4)*x^4), x)","F",0
911,0,0,0,0.000000," ","integrate(1/x^6/(3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 2\right)}^{\frac{3}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((3*x^2 - 2)^(3/4)*x^6), x)","F",0
912,0,0,0,0.000000," ","integrate(x^6/(-3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/(-3*x^2 - 2)^(3/4), x)","F",0
913,0,0,0,0.000000," ","integrate(x^4/(-3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(-3*x^2 - 2)^(3/4), x)","F",0
914,0,0,0,0.000000," ","integrate(x^2/(-3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/(-3*x^2 - 2)^(3/4), x)","F",0
915,0,0,0,0.000000," ","integrate(1/(-3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-3*x^2 - 2)^(-3/4), x)","F",0
916,0,0,0,0.000000," ","integrate(1/x^2/(-3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-3*x^2 - 2)^(3/4)*x^2), x)","F",0
917,0,0,0,0.000000," ","integrate(1/x^4/(-3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-3*x^2 - 2)^(3/4)*x^4), x)","F",0
918,0,0,0,0.000000," ","integrate(1/x^6/(-3*x^2-2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, x^{2} - 2\right)}^{\frac{3}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-3*x^2 - 2)^(3/4)*x^6), x)","F",0
919,0,0,0,0.000000," ","integrate((c*x)^(7/2)*(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)*(c*x)^(7/2), x)","F",0
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981,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{\sqrt{c x}}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(sqrt(c*x)/(-b*x^2 + a)^(3/4), x)","F",0
982,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(3/4)*(c*x)^(3/2)), x)","F",0
983,0,0,0,0.000000," ","integrate(1/(c*x)^(7/2)/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \left(c x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(3/4)*(c*x)^(7/2)), x)","F",0
984,0,0,0,0.000000," ","integrate(1/(c*x)^(11/2)/(-b*x^2+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{2} + a\right)}^{\frac{3}{4}} \left(c x\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(1/((-b*x^2 + a)^(3/4)*(c*x)^(11/2)), x)","F",0
985,0,0,0,0.000000," ","integrate((c*x)^(7/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{7}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x)^(7/2)/(b*x^2 + a)^(5/4), x)","F",0
986,0,0,0,0.000000," ","integrate((c*x)^(3/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x)^(3/2)/(b*x^2 + a)^(5/4), x)","F",0
987,0,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} \sqrt{c x}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*sqrt(c*x)), x)","F",0
988,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*(c*x)^(5/2)), x)","F",0
989,0,0,0,0.000000," ","integrate(1/(c*x)^(9/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} \left(c x\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*(c*x)^(9/2)), x)","F",0
990,0,0,0,0.000000," ","integrate(1/(c*x)^(13/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} \left(c x\right)^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*(c*x)^(13/2)), x)","F",0
991,0,0,0,0.000000," ","integrate((c*x)^(13/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{13}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x)^(13/2)/(b*x^2 + a)^(5/4), x)","F",0
992,0,0,0,0.000000," ","integrate((c*x)^(9/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{9}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x)^(9/2)/(b*x^2 + a)^(5/4), x)","F",0
993,0,0,0,0.000000," ","integrate((c*x)^(5/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{2}}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x)^(5/2)/(b*x^2 + a)^(5/4), x)","F",0
994,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{\sqrt{c x}}{{\left(b x^{2} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(sqrt(c*x)/(b*x^2 + a)^(5/4), x)","F",0
995,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*(c*x)^(3/2)), x)","F",0
996,0,0,0,0.000000," ","integrate(1/(c*x)^(7/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} \left(c x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*(c*x)^(7/2)), x)","F",0
997,0,0,0,0.000000," ","integrate(1/(c*x)^(11/2)/(b*x^2+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{4}} \left(c x\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/4)*(c*x)^(11/2)), x)","F",0
998,0,0,0,0.000000," ","integrate((c*x)^(5/4)/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{4}}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c*x)^(5/4)/(b*x^2 + a)^(1/4), x)","F",0
999,0,0,0,0.000000," ","integrate((c*x)^(3/4)/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{4}}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c*x)^(3/4)/(b*x^2 + a)^(1/4), x)","F",0
1000,0,0,0,0.000000," ","integrate((c*x)^(1/4)/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{1}{4}}}{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c*x)^(1/4)/(b*x^2 + a)^(1/4), x)","F",0
1001,0,0,0,0.000000," ","integrate(1/(c*x)^(1/4)/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/4)*(c*x)^(1/4)), x)","F",0
1002,0,0,0,0.000000," ","integrate(1/(c*x)^(3/4)/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/4)*(c*x)^(3/4)), x)","F",0
1003,0,0,0,0.000000," ","integrate(1/(c*x)^(5/4)/(b*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/4)*(c*x)^(5/4)), x)","F",0
1004,0,0,0,0.000000," ","integrate((c*x)^(5/4)/(b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{4}}}{{\left(b x^{2} + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((c*x)^(5/4)/(b*x^2 + a)^(7/4), x)","F",0
1005,0,0,0,0.000000," ","integrate((c*x)^(3/4)/(b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{4}}}{{\left(b x^{2} + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((c*x)^(3/4)/(b*x^2 + a)^(7/4), x)","F",0
1006,0,0,0,0.000000," ","integrate((c*x)^(1/4)/(b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{1}{4}}}{{\left(b x^{2} + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((c*x)^(1/4)/(b*x^2 + a)^(7/4), x)","F",0
1007,0,0,0,0.000000," ","integrate(1/(c*x)^(1/4)/(b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{4}} \left(c x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(7/4)*(c*x)^(1/4)), x)","F",0
1008,0,0,0,0.000000," ","integrate(1/(c*x)^(3/4)/(b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{4}} \left(c x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(7/4)*(c*x)^(3/4)), x)","F",0
1009,0,0,0,0.000000," ","integrate(1/(c*x)^(5/4)/(b*x^2+a)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{4}} \left(c x\right)^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(7/4)*(c*x)^(5/4)), x)","F",0
1010,0,0,0,0.000000," ","integrate(x^6*(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{6}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6)*x^6, x)","F",0
1011,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{4}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6)*x^4, x)","F",0
1012,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{2}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6)*x^2, x)","F",0
1013,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6), x)","F",0
1014,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/6)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6)/x^2, x)","F",0
1015,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/6)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6)/x^4, x)","F",0
1016,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/6)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{6}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6)/x^6, x)","F",0
1017,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/6)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}{x^{8}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/6)/x^8, x)","F",0
1018,0,0,0,0.000000," ","integrate(x^6/(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(x^6/(b*x^2 + a)^(1/6), x)","F",0
1019,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(1/6), x)","F",0
1020,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(1/6), x)","F",0
1021,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-1/6), x)","F",0
1022,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/6)*x^2), x)","F",0
1023,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/6)*x^4), x)","F",0
1024,0,0,0,0.000000," ","integrate(1/x^6/(b*x^2+a)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{1}{6}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(1/6)*x^6), x)","F",0
1025,0,0,0,0.000000," ","integrate(x^6/(b*x^2+a)^(5/6),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(x^6/(b*x^2 + a)^(5/6), x)","F",0
1026,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(5/6),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(5/6), x)","F",0
1027,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(5/6),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(5/6), x)","F",0
1028,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(5/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-5/6), x)","F",0
1029,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(5/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{6}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/6)*x^2), x)","F",0
1030,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(5/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{6}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/6)*x^4), x)","F",0
1031,0,0,0,0.000000," ","integrate(1/x^6/(b*x^2+a)^(5/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{5}{6}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(5/6)*x^6), x)","F",0
1032,0,0,0,0.000000," ","integrate(x^6/(b*x^2+a)^(7/6),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{2} + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(x^6/(b*x^2 + a)^(7/6), x)","F",0
1033,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(7/6),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{2} + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(x^4/(b*x^2 + a)^(7/6), x)","F",0
1034,0,0,0,0.000000," ","integrate(x^2/(b*x^2+a)^(7/6),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{2} + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(x^2/(b*x^2 + a)^(7/6), x)","F",0
1035,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(-7/6), x)","F",0
1036,0,0,0,0.000000," ","integrate(1/x^2/(b*x^2+a)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{6}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(7/6)*x^2), x)","F",0
1037,0,0,0,0.000000," ","integrate(1/x^4/(b*x^2+a)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{6}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(7/6)*x^4), x)","F",0
1038,0,0,0,0.000000," ","integrate(1/x^6/(b*x^2+a)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{7}{6}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(7/6)*x^6), x)","F",0
1039,1,106,0,1.445239," ","integrate(x^7*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{4} x^{8} + {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} a b^{3} x^{6} - 3 \, {\left(p^{2} + p\right)} a^{2} b^{2} x^{4} + 6 \, a^{3} b p x^{2} - 6 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{p}}{2 \, {\left(p^{4} + 10 \, p^{3} + 35 \, p^{2} + 50 \, p + 24\right)} b^{4}}"," ",0,"1/2*((p^3 + 6*p^2 + 11*p + 6)*b^4*x^8 + (p^3 + 3*p^2 + 2*p)*a*b^3*x^6 - 3*(p^2 + p)*a^2*b^2*x^4 + 6*a^3*b*p*x^2 - 6*a^4)*(b*x^2 + a)^p/((p^4 + 10*p^3 + 35*p^2 + 50*p + 24)*b^4)","A",0
1040,1,73,0,1.412299," ","integrate(x^5*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} x^{6} + {\left(p^{2} + p\right)} a b^{2} x^{4} - 2 \, a^{2} b p x^{2} + 2 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{p}}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3}}"," ",0,"1/2*((p^2 + 3*p + 2)*b^3*x^6 + (p^2 + p)*a*b^2*x^4 - 2*a^2*b*p*x^2 + 2*a^3)*(b*x^2 + a)^p/((p^3 + 6*p^2 + 11*p + 6)*b^3)","A",0
1041,1,47,0,1.287625," ","integrate(x^3*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(p + 1\right)} x^{4} + a b p x^{2} - a^{2}\right)} {\left(b x^{2} + a\right)}^{p}}{2 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2}}"," ",0,"1/2*(b^2*(p + 1)*x^4 + a*b*p*x^2 - a^2)*(b*x^2 + a)^p/((p^2 + 3*p + 2)*b^2)","A",0
1042,1,21,0,1.380637," ","integrate(x*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{p + 1}}{2 \, b {\left(p + 1\right)}}"," ",0,"1/2*(b*x^2 + a)^(p + 1)/(b*(p + 1))","A",0
1043,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/x, x)","F",0
1044,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/x^3, x)","F",0
1045,0,0,0,0.000000," ","integrate(x^6*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{6}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^6, x)","F",0
1046,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^4, x)","F",0
1047,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^2, x)","F",0
1048,0,0,0,0.000000," ","integrate((b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*x^2 + a)^p, x)","F",0
1049,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/x^2, x)","F",0
1050,0,0,0,0.000000," ","integrate(x^(7/2)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(7/2), x)","F",0
1051,0,0,0,0.000000," ","integrate(x^(5/2)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(5/2), x)","F",0
1052,0,0,0,0.000000," ","integrate(x^(3/2)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(3/2), x)","F",0
1053,0,0,0,0.000000," ","integrate(x^(1/2)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} \sqrt{x}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*sqrt(x), x)","F",0
1054,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{\sqrt{x}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/sqrt(x), x)","F",0
1055,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/x^(3/2), x)","F",0
1056,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/x^(5/2), x)","F",0
1057,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/x^(7/2), x)","F",0
1058,0,0,0,0.000000," ","integrate(x^m*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{m}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^m, x)","F",0
1059,0,0,0,0.000000," ","integrate((c*x)^m*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*(c*x)^m, x)","F",0
1060,0,0,0,0.000000," ","integrate(x^(-8-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 8}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p - 8), x)","F",0
1061,1,84,0,1.458452," ","integrate(x^(-7-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","-\frac{{\left(2 \, b^{3} x^{6} - 2 \, a b^{2} p x^{4} + {\left(p^{2} + p\right)} a^{2} b x^{2} + {\left(p^{2} + 3 \, p + 2\right)} a^{3}\right)} e^{\left(p \log\left(b x^{2} + a\right) - 2 \, p \log\left(x\right)\right)}}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} a^{3} x^{6}}"," ",0,"-1/2*(2*b^3*x^6 - 2*a*b^2*p*x^4 + (p^2 + p)*a^2*b*x^2 + (p^2 + 3*p + 2)*a^3)*e^(p*log(b*x^2 + a) - 2*p*log(x))/((p^3 + 6*p^2 + 11*p + 6)*a^3*x^6)","A",0
1062,0,0,0,0.000000," ","integrate(x^(-6-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 6}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p - 6), x)","F",0
1063,1,59,0,1.405045," ","integrate(x^(-5-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{4} - a b p x^{2} - a^{2} {\left(p + 1\right)}\right)} e^{\left(p \log\left(b x^{2} + a\right) - 2 \, p \log\left(x\right)\right)}}{2 \, {\left(p^{2} + 3 \, p + 2\right)} a^{2} x^{4}}"," ",0,"1/2*(b^2*x^4 - a*b*p*x^2 - a^2*(p + 1))*e^(p*log(b*x^2 + a) - 2*p*log(x))/((p^2 + 3*p + 2)*a^2*x^4)","A",0
1064,0,0,0,0.000000," ","integrate(x^(-4-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 4}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p - 4), x)","F",0
1065,1,37,0,1.477791," ","integrate(x^(-3-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","-\frac{{\left(b x^{2} + a\right)} e^{\left(p \log\left(b x^{2} + a\right) - 2 \, p \log\left(x\right)\right)}}{2 \, a {\left(p + 1\right)} x^{2}}"," ",0,"-1/2*(b*x^2 + a)*e^(p*log(b*x^2 + a) - 2*p*log(x))/(a*(p + 1)*x^2)","A",0
1066,0,0,0,0.000000," ","integrate(x^(-2-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 2}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p - 2), x)","F",0
1067,0,0,0,0.000000," ","integrate(x^(-1-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 1}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p - 1), x)","F",0
1068,0,0,0,0.000000," ","integrate((b*x^2+a)^p/(x^(2*p)),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{x^{2 \, p}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/x^(2*p), x)","F",0
1069,0,0,0,0.000000," ","integrate(x^(1-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p + 1}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p + 1), x)","F",0
1070,0,0,0,0.000000," ","integrate(x^(2-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p + 2}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p + 2), x)","F",0
1071,0,0,0,0.000000," ","integrate(x^(3-2*p)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p + 3}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p + 3), x)","F",0
