1,1,13,0,1.094285," ","integrate(x^4*(b*x^2+a),x, algorithm=""giac"")","\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
2,1,13,0,0.915176," ","integrate(x^3*(b*x^2+a),x, algorithm=""giac"")","\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
3,1,13,0,1.114241," ","integrate(x^2*(b*x^2+a),x, algorithm=""giac"")","\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
4,1,13,0,1.026190," ","integrate(x*(b*x^2+a),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} + \frac{1}{2} \, a x^{2}"," ",0,"1/4*b*x^4 + 1/2*a*x^2","A",0
5,1,10,0,0.943138," ","integrate(b*x^2+a,x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} + a x"," ",0,"1/3*b*x^3 + a*x","A",0
6,1,14,0,1.024347," ","integrate((b*x^2+a)/x,x, algorithm=""giac"")","\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
7,1,10,0,0.983907," ","integrate((b*x^2+a)/x^2,x, algorithm=""giac"")","b x - \frac{a}{x}"," ",0,"b*x - a/x","A",0
8,1,20,0,1.062867," ","integrate((b*x^2+a)/x^3,x, algorithm=""giac"")","\frac{1}{2} \, b \log\left(x^{2}\right) - \frac{b x^{2} + a}{2 \, x^{2}}"," ",0,"1/2*b*log(x^2) - 1/2*(b*x^2 + a)/x^2","A",0
9,1,13,0,1.106970," ","integrate((b*x^2+a)/x^4,x, algorithm=""giac"")","-\frac{3 \, b x^{2} + a}{3 \, x^{3}}"," ",0,"-1/3*(3*b*x^2 + a)/x^3","A",0
10,1,13,0,0.992048," ","integrate((b*x^2+a)/x^5,x, algorithm=""giac"")","-\frac{2 \, b x^{2} + a}{4 \, x^{4}}"," ",0,"-1/4*(2*b*x^2 + a)/x^4","A",0
11,1,15,0,1.085223," ","integrate((b*x^2+a)/x^6,x, algorithm=""giac"")","-\frac{5 \, b x^{2} + 3 \, a}{15 \, x^{5}}"," ",0,"-1/15*(5*b*x^2 + 3*a)/x^5","A",0
12,1,15,0,1.033741," ","integrate((b*x^2+a)/x^7,x, algorithm=""giac"")","-\frac{3 \, b x^{2} + 2 \, a}{12 \, x^{6}}"," ",0,"-1/12*(3*b*x^2 + 2*a)/x^6","A",0
13,1,24,0,1.070592," ","integrate(x^5*(b*x^2+a)^2,x, algorithm=""giac"")","\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
14,1,24,0,1.292415," ","integrate(x^4*(b*x^2+a)^2,x, algorithm=""giac"")","\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
15,1,24,0,1.044389," ","integrate(x^3*(b*x^2+a)^2,x, algorithm=""giac"")","\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
16,1,24,0,1.128824," ","integrate(x^2*(b*x^2+a)^2,x, algorithm=""giac"")","\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
17,1,14,0,1.051758," ","integrate(x*(b*x^2+a)^2,x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{3}}{6 \, b}"," ",0,"1/6*(b*x^2 + a)^3/b","A",0
18,1,21,0,1.051911," ","integrate((b*x^2+a)^2,x, algorithm=""giac"")","\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
19,1,24,0,1.066795," ","integrate((b*x^2+a)^2/x,x, algorithm=""giac"")","\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
20,1,22,0,1.071727," ","integrate((b*x^2+a)^2/x^2,x, algorithm=""giac"")","\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
21,1,32,0,1.139297," ","integrate((b*x^2+a)^2/x^3,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} x^{2} + a b \log\left(x^{2}\right) - \frac{2 \, a b x^{2} + a^{2}}{2 \, x^{2}}"," ",0,"1/2*b^2*x^2 + a*b*log(x^2) - 1/2*(2*a*b*x^2 + a^2)/x^2","A",0
22,1,22,0,0.877015," ","integrate((b*x^2+a)^2/x^4,x, algorithm=""giac"")","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
23,1,34,0,1.144918," ","integrate((b*x^2+a)^2/x^5,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} \log\left(x^{2}\right) - \frac{3 \, b^{2} x^{4} + 4 \, a b x^{2} + a^{2}}{4 \, x^{4}}"," ",0,"1/2*b^2*log(x^2) - 1/4*(3*b^2*x^4 + 4*a*b*x^2 + a^2)/x^4","A",0
24,1,26,0,1.050082," ","integrate((b*x^2+a)^2/x^6,x, algorithm=""giac"")","-\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
25,1,24,0,1.107450," ","integrate((b*x^2+a)^2/x^7,x, algorithm=""giac"")","-\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
26,1,26,0,1.060084," ","integrate((b*x^2+a)^2/x^8,x, algorithm=""giac"")","-\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
27,1,26,0,1.085653," ","integrate((b*x^2+a)^2/x^9,x, algorithm=""giac"")","-\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
28,1,26,0,1.048185," ","integrate((b*x^2+a)^2/x^10,x, algorithm=""giac"")","-\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
29,1,35,0,1.166643," ","integrate(x^9*(b*x^2+a)^3,x, algorithm=""giac"")","\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
30,1,35,0,1.179530," ","integrate(x^7*(b*x^2+a)^3,x, algorithm=""giac"")","\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
31,1,35,0,0.967047," ","integrate(x^5*(b*x^2+a)^3,x, algorithm=""giac"")","\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
32,1,35,0,0.951236," ","integrate(x^3*(b*x^2+a)^3,x, algorithm=""giac"")","\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
33,1,14,0,0.995245," ","integrate(x*(b*x^2+a)^3,x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{4}}{8 \, b}"," ",0,"1/8*(b*x^2 + a)^4/b","A",0
34,1,36,0,0.961299," ","integrate((b*x^2+a)^3/x,x, algorithm=""giac"")","\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
35,1,46,0,1.077729," ","integrate((b*x^2+a)^3/x^3,x, algorithm=""giac"")","\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{3 \, a^{2} b x^{2} + 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*(3*a^2*b*x^2 + a^3)/x^2","A",0
36,1,46,0,1.143760," ","integrate((b*x^2+a)^3/x^5,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} x^{2} + \frac{3}{2} \, a b^{2} \log\left(x^{2}\right) - \frac{9 \, a b^{2} x^{4} + 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*(9*a*b^2*x^4 + 6*a^2*b*x^2 + a^3)/x^4","A",0
37,1,47,0,1.054388," ","integrate((b*x^2+a)^3/x^7,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} \log\left(x^{2}\right) - \frac{11 \, b^{3} x^{6} + 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*(11*b^3*x^6 + 18*a*b^2*x^4 + 9*a^2*b*x^2 + 2*a^3)/x^6","A",0
38,1,35,0,1.041672," ","integrate((b*x^2+a)^3/x^9,x, algorithm=""giac"")","-\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
39,1,37,0,1.016556," ","integrate((b*x^2+a)^3/x^11,x, algorithm=""giac"")","-\frac{10 \, b^{3} x^{6} + 20 \, a b^{2} x^{4} + 15 \, a^{2} b x^{2} + 4 \, a^{3}}{40 \, x^{10}}"," ",0,"-1/40*(10*b^3*x^6 + 20*a*b^2*x^4 + 15*a^2*b*x^2 + 4*a^3)/x^10","A",0
40,1,37,0,0.834711," ","integrate((b*x^2+a)^3/x^13,x, algorithm=""giac"")","-\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
41,1,37,0,1.040819," ","integrate((b*x^2+a)^3/x^15,x, algorithm=""giac"")","-\frac{35 \, b^{3} x^{6} + 84 \, a b^{2} x^{4} + 70 \, a^{2} b x^{2} + 20 \, a^{3}}{280 \, x^{14}}"," ",0,"-1/280*(35*b^3*x^6 + 84*a*b^2*x^4 + 70*a^2*b*x^2 + 20*a^3)/x^14","A",0
42,1,35,0,0.932838," ","integrate(x^6*(b*x^2+a)^3,x, algorithm=""giac"")","\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
43,1,35,0,1.026313," ","integrate(x^4*(b*x^2+a)^3,x, algorithm=""giac"")","\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
44,1,35,0,1.027068," ","integrate(x^2*(b*x^2+a)^3,x, algorithm=""giac"")","\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
45,1,31,0,0.721951," ","integrate((b*x^2+a)^3,x, algorithm=""giac"")","\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
46,1,32,0,1.042027," ","integrate((b*x^2+a)^3/x^2,x, algorithm=""giac"")","\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
47,1,34,0,1.086972," ","integrate((b*x^2+a)^3/x^4,x, algorithm=""giac"")","\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
48,1,33,0,1.078044," ","integrate((b*x^2+a)^3/x^6,x, algorithm=""giac"")","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
49,1,37,0,1.086364," ","integrate((b*x^2+a)^3/x^8,x, algorithm=""giac"")","-\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
50,1,37,0,1.196099," ","integrate((b*x^2+a)^3/x^10,x, algorithm=""giac"")","-\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
51,1,37,0,1.026819," ","integrate((b*x^2+a)^3/x^12,x, algorithm=""giac"")","-\frac{231 \, b^{3} x^{6} + 495 \, a b^{2} x^{4} + 385 \, a^{2} b x^{2} + 105 \, a^{3}}{1155 \, x^{11}}"," ",0,"-1/1155*(231*b^3*x^6 + 495*a*b^2*x^4 + 385*a^2*b*x^2 + 105*a^3)/x^11","A",0
52,1,57,0,0.872535," ","integrate(x^13*(b*x^2+a)^5,x, algorithm=""giac"")","\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
53,1,57,0,1.010719," ","integrate(x^11*(b*x^2+a)^5,x, algorithm=""giac"")","\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
54,1,57,0,1.157115," ","integrate(x^9*(b*x^2+a)^5,x, algorithm=""giac"")","\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
55,1,57,0,1.020817," ","integrate(x^7*(b*x^2+a)^5,x, algorithm=""giac"")","\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
56,1,56,0,1.056304," ","integrate(x^5*(b*x^2+a)^5,x, algorithm=""giac"")","\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
57,1,56,0,1.184846," ","integrate(x^3*(b*x^2+a)^5,x, algorithm=""giac"")","\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
58,1,14,0,1.056927," ","integrate(x*(b*x^2+a)^5,x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{6}}{12 \, b}"," ",0,"1/12*(b*x^2 + a)^6/b","A",0
59,1,58,0,0.923264," ","integrate((b*x^2+a)^5/x,x, algorithm=""giac"")","\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
60,1,68,0,1.055830," ","integrate((b*x^2+a)^5/x^3,x, algorithm=""giac"")","\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{5 \, a^{4} b x^{2} + 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*(5*a^4*b*x^2 + a^5)/x^2","A",0
61,1,70,0,0.880830," ","integrate((b*x^2+a)^5/x^5,x, algorithm=""giac"")","\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{30 \, a^{3} b^{2} x^{4} + 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*(30*a^3*b^2*x^4 + 10*a^4*b*x^2 + a^5)/x^4","A",0
62,1,72,0,1.188533," ","integrate((b*x^2+a)^5/x^7,x, algorithm=""giac"")","\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{110 \, a^{2} b^{3} x^{6} + 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*(110*a^2*b^3*x^6 + 60*a^3*b^2*x^4 + 15*a^4*b*x^2 + 2*a^5)/x^6","A",0
63,1,70,0,1.048897," ","integrate((b*x^2+a)^5/x^9,x, algorithm=""giac"")","\frac{1}{2} \, b^{5} x^{2} + \frac{5}{2} \, a b^{4} \log\left(x^{2}\right) - \frac{125 \, a b^{4} x^{8} + 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*(125*a*b^4*x^8 + 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
64,1,69,0,1.059856," ","integrate((b*x^2+a)^5/x^11,x, algorithm=""giac"")","\frac{1}{2} \, b^{5} \log\left(x^{2}\right) - \frac{137 \, b^{5} x^{10} + 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*(137*b^5*x^10 + 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
65,1,57,0,1.069371," ","integrate((b*x^2+a)^5/x^13,x, algorithm=""giac"")","-\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
66,1,59,0,1.064252," ","integrate((b*x^2+a)^5/x^15,x, algorithm=""giac"")","-\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
67,1,59,0,0.979228," ","integrate((b*x^2+a)^5/x^17,x, algorithm=""giac"")","-\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
68,1,59,0,0.944900," ","integrate((b*x^2+a)^5/x^19,x, algorithm=""giac"")","-\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
69,1,59,0,1.018137," ","integrate((b*x^2+a)^5/x^21,x, algorithm=""giac"")","-\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
70,1,57,0,1.045265," ","integrate(x^8*(b*x^2+a)^5,x, algorithm=""giac"")","\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
71,1,57,0,0.983487," ","integrate(x^6*(b*x^2+a)^5,x, algorithm=""giac"")","\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
72,1,57,0,1.007835," ","integrate(x^4*(b*x^2+a)^5,x, algorithm=""giac"")","\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
73,1,56,0,1.094398," ","integrate(x^2*(b*x^2+a)^5,x, algorithm=""giac"")","\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
74,1,54,0,1.143791," ","integrate((b*x^2+a)^5,x, algorithm=""giac"")","\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
75,1,55,0,1.125976," ","integrate((b*x^2+a)^5/x^2,x, algorithm=""giac"")","\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
76,1,55,0,1.132769," ","integrate((b*x^2+a)^5/x^4,x, algorithm=""giac"")","\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
77,1,58,0,0.938224," ","integrate((b*x^2+a)^5/x^6,x, algorithm=""giac"")","\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
78,1,58,0,1.118270," ","integrate((b*x^2+a)^5/x^8,x, algorithm=""giac"")","\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
79,1,57,0,1.035106," ","integrate((b*x^2+a)^5/x^10,x, algorithm=""giac"")","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
80,1,59,0,1.039258," ","integrate((b*x^2+a)^5/x^12,x, algorithm=""giac"")","-\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
81,1,59,0,1.090589," ","integrate((b*x^2+a)^5/x^14,x, algorithm=""giac"")","-\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
82,1,59,0,1.079884," ","integrate((b*x^2+a)^5/x^16,x, algorithm=""giac"")","-\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
83,1,59,0,1.099069," ","integrate((b*x^2+a)^5/x^18,x, algorithm=""giac"")","-\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
84,1,59,0,1.128919," ","integrate((b*x^2+a)^5/x^20,x, algorithm=""giac"")","-\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
85,1,90,0,1.055260," ","integrate(x^13*(b*x^2+a)^8,x, algorithm=""giac"")","\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
86,1,90,0,1.004606," ","integrate(x^11*(b*x^2+a)^8,x, algorithm=""giac"")","\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
87,1,90,0,0.995677," ","integrate(x^9*(b*x^2+a)^8,x, algorithm=""giac"")","\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
88,1,90,0,1.078884," ","integrate(x^7*(b*x^2+a)^8,x, algorithm=""giac"")","\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
89,1,89,0,1.126769," ","integrate(x^5*(b*x^2+a)^8,x, algorithm=""giac"")","\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
90,1,90,0,1.182860," ","integrate(x^3*(b*x^2+a)^8,x, algorithm=""giac"")","\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
91,1,14,0,1.124175," ","integrate(x*(b*x^2+a)^8,x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{9}}{18 \, b}"," ",0,"1/18*(b*x^2 + a)^9/b","A",0
92,1,91,0,0.900473," ","integrate((b*x^2+a)^8/x,x, algorithm=""giac"")","\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
93,1,101,0,1.059400," ","integrate((b*x^2+a)^8/x^3,x, algorithm=""giac"")","\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{8 \, a^{7} b x^{2} + 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*(8*a^7*b*x^2 + a^8)/x^2","A",0
94,1,103,0,1.120940," ","integrate((b*x^2+a)^8/x^5,x, algorithm=""giac"")","\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{84 \, a^{6} b^{2} x^{4} + 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*(84*a^6*b^2*x^4 + 16*a^7*b*x^2 + a^8)/x^4","A",0
95,1,102,0,1.050808," ","integrate((b*x^2+a)^8/x^7,x, algorithm=""giac"")","\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{308 \, a^{5} b^{3} x^{6} + 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*(308*a^5*b^3*x^6 + 84*a^6*b^2*x^4 + 12*a^7*b*x^2 + a^8)/x^6","A",0
96,1,105,0,0.997140," ","integrate((b*x^2+a)^8/x^9,x, algorithm=""giac"")","\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{1750 \, a^{4} b^{4} x^{8} + 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*(1750*a^4*b^4*x^8 + 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
97,1,105,0,1.127514," ","integrate((b*x^2+a)^8/x^11,x, algorithm=""giac"")","\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{1918 \, a^{3} b^{5} x^{10} + 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*(1918*a^3*b^5*x^10 + 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
98,1,105,0,1.214923," ","integrate((b*x^2+a)^8/x^13,x, algorithm=""giac"")","\frac{1}{4} \, b^{8} x^{4} + 4 \, a b^{7} x^{2} + 14 \, a^{2} b^{6} \log\left(x^{2}\right) - \frac{2058 \, a^{2} b^{6} x^{12} + 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*(2058*a^2*b^6*x^12 + 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
99,1,103,0,1.076496," ","integrate((b*x^2+a)^8/x^15,x, algorithm=""giac"")","\frac{1}{2} \, b^{8} x^{2} + 4 \, a b^{7} \log\left(x^{2}\right) - \frac{2178 \, a b^{7} x^{14} + 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*(2178*a*b^7*x^14 + 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
100,1,102,0,1.056444," ","integrate((b*x^2+a)^8/x^17,x, algorithm=""giac"")","\frac{1}{2} \, b^{8} \log\left(x^{2}\right) - \frac{2283 \, b^{8} x^{16} + 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*(2283*b^8*x^16 + 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
101,1,90,0,1.068337," ","integrate((b*x^2+a)^8/x^19,x, algorithm=""giac"")","-\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
102,1,92,0,1.001951," ","integrate((b*x^2+a)^8/x^21,x, algorithm=""giac"")","-\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
103,1,92,0,1.061478," ","integrate((b*x^2+a)^8/x^23,x, algorithm=""giac"")","-\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
104,1,92,0,1.202146," ","integrate((b*x^2+a)^8/x^25,x, algorithm=""giac"")","-\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
105,1,92,0,1.057116," ","integrate((b*x^2+a)^8/x^27,x, algorithm=""giac"")","-\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
106,1,92,0,1.050697," ","integrate((b*x^2+a)^8/x^29,x, algorithm=""giac"")","-\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
107,1,92,0,1.219369," ","integrate((b*x^2+a)^8/x^31,x, algorithm=""giac"")","-\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
108,1,92,0,1.052783," ","integrate((b*x^2+a)^8/x^33,x, algorithm=""giac"")","-\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
109,1,90,0,1.096219," ","integrate(x^8*(b*x^2+a)^8,x, algorithm=""giac"")","\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
110,1,90,0,1.140472," ","integrate(x^6*(b*x^2+a)^8,x, algorithm=""giac"")","\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
111,1,90,0,1.096556," ","integrate(x^4*(b*x^2+a)^8,x, algorithm=""giac"")","\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
112,1,90,0,0.912376," ","integrate(x^2*(b*x^2+a)^8,x, algorithm=""giac"")","\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
113,1,87,0,1.177684," ","integrate((b*x^2+a)^8,x, algorithm=""giac"")","\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
114,1,88,0,1.071033," ","integrate((b*x^2+a)^8/x^2,x, algorithm=""giac"")","\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
115,1,89,0,1.099040," ","integrate((b*x^2+a)^8/x^4,x, algorithm=""giac"")","\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
116,1,91,0,0.973548," ","integrate((b*x^2+a)^8/x^6,x, algorithm=""giac"")","\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
117,1,91,0,0.933794," ","integrate((b*x^2+a)^8/x^8,x, algorithm=""giac"")","\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
118,1,91,0,0.939116," ","integrate((b*x^2+a)^8/x^10,x, algorithm=""giac"")","\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
119,1,91,0,0.924710," ","integrate((b*x^2+a)^8/x^12,x, algorithm=""giac"")","\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
120,1,91,0,1.104684," ","integrate((b*x^2+a)^8/x^14,x, algorithm=""giac"")","\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
121,1,90,0,0.874966," ","integrate((b*x^2+a)^8/x^16,x, algorithm=""giac"")","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
122,1,92,0,0.817075," ","integrate((b*x^2+a)^8/x^18,x, algorithm=""giac"")","-\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
123,1,92,0,1.137417," ","integrate((b*x^2+a)^8/x^20,x, algorithm=""giac"")","-\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
124,1,69,0,0.987553," ","integrate(x^11/(b*x^2+a),x, algorithm=""giac"")","-\frac{a^{5} \log\left({\left| b x^{2} + a \right|}\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(abs(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
125,1,77,0,1.077663," ","integrate(x^10/(b*x^2+a),x, algorithm=""giac"")","-\frac{a^{5} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{5}} + \frac{35 \, b^{8} x^{9} - 45 \, a b^{7} x^{7} + 63 \, a^{2} b^{6} x^{5} - 105 \, a^{3} b^{5} x^{3} + 315 \, a^{4} b^{4} x}{315 \, b^{9}}"," ",0,"-a^5*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^5) + 1/315*(35*b^8*x^9 - 45*a*b^7*x^7 + 63*a^2*b^6*x^5 - 105*a^3*b^5*x^3 + 315*a^4*b^4*x)/b^9","A",0
126,1,58,0,1.075396," ","integrate(x^9/(b*x^2+a),x, algorithm=""giac"")","\frac{a^{4} \log\left({\left| b x^{2} + a \right|}\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(abs(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
127,1,65,0,1.099065," ","integrate(x^8/(b*x^2+a),x, algorithm=""giac"")","\frac{a^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{15 \, b^{6} x^{7} - 21 \, a b^{5} x^{5} + 35 \, a^{2} b^{4} x^{3} - 105 \, a^{3} b^{3} x}{105 \, b^{7}}"," ",0,"a^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^4) + 1/105*(15*b^6*x^7 - 21*a*b^5*x^5 + 35*a^2*b^4*x^3 - 105*a^3*b^3*x)/b^7","A",0
128,1,47,0,1.048244," ","integrate(x^7/(b*x^2+a),x, algorithm=""giac"")","-\frac{a^{3} \log\left({\left| b x^{2} + a \right|}\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(abs(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
129,1,55,0,0.994639," ","integrate(x^6/(b*x^2+a),x, algorithm=""giac"")","-\frac{a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{3 \, b^{4} x^{5} - 5 \, a b^{3} x^{3} + 15 \, a^{2} b^{2} x}{15 \, b^{5}}"," ",0,"-a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^3) + 1/15*(3*b^4*x^5 - 5*a*b^3*x^3 + 15*a^2*b^2*x)/b^5","A",0
130,1,35,0,1.120717," ","integrate(x^5/(b*x^2+a),x, algorithm=""giac"")","\frac{a^{2} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{3}} + \frac{b x^{4} - 2 \, a x^{2}}{4 \, b^{2}}"," ",0,"1/2*a^2*log(abs(b*x^2 + a))/b^3 + 1/4*(b*x^4 - 2*a*x^2)/b^2","A",0
131,1,40,0,1.012279," ","integrate(x^4/(b*x^2+a),x, algorithm=""giac"")","\frac{a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{b^{2} x^{3} - 3 \, a b x}{3 \, b^{3}}"," ",0,"a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2) + 1/3*(b^2*x^3 - 3*a*b*x)/b^3","A",0
132,1,24,0,1.090612," ","integrate(x^3/(b*x^2+a),x, algorithm=""giac"")","\frac{x^{2}}{2 \, b} - \frac{a \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{2}}"," ",0,"1/2*x^2/b - 1/2*a*log(abs(b*x^2 + a))/b^2","A",0
133,1,26,0,1.119097," ","integrate(x^2/(b*x^2+a),x, algorithm=""giac"")","-\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
134,1,14,0,1.067897," ","integrate(x/(b*x^2+a),x, algorithm=""giac"")","\frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, b}"," ",0,"1/2*log(abs(b*x^2 + a))/b","A",0
135,1,15,0,0.973614," ","integrate(1/(b*x^2+a),x, algorithm=""giac"")","\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
136,1,24,0,1.093157," ","integrate(1/x/(b*x^2+a),x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a} - \frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, a}"," ",0,"1/2*log(x^2)/a - 1/2*log(abs(b*x^2 + a))/a","A",0
137,1,29,0,1.126387," ","integrate(1/x^2/(b*x^2+a),x, algorithm=""giac"")","-\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
138,1,43,0,1.147540," ","integrate(1/x^3/(b*x^2+a),x, algorithm=""giac"")","-\frac{b \log\left(x^{2}\right)}{2 \, a^{2}} + \frac{b \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{2}} + \frac{b x^{2} - a}{2 \, a^{2} x^{2}}"," ",0,"-1/2*b*log(x^2)/a^2 + 1/2*b*log(abs(b*x^2 + a))/a^2 + 1/2*(b*x^2 - a)/(a^2*x^2)","A",0
139,1,40,0,1.119233," ","integrate(1/x^4/(b*x^2+a),x, algorithm=""giac"")","\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
140,1,57,0,1.192326," ","integrate(1/x^5/(b*x^2+a),x, algorithm=""giac"")","\frac{b^{2} \log\left(x^{2}\right)}{2 \, a^{3}} - \frac{b^{2} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{3}} - \frac{3 \, b^{2} x^{4} - 2 \, a b x^{2} + a^{2}}{4 \, a^{3} x^{4}}"," ",0,"1/2*b^2*log(x^2)/a^3 - 1/2*b^2*log(abs(b*x^2 + a))/a^3 - 1/4*(3*b^2*x^4 - 2*a*b*x^2 + a^2)/(a^3*x^4)","A",0
141,1,52,0,0.617074," ","integrate(1/x^6/(b*x^2+a),x, algorithm=""giac"")","-\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
142,1,70,0,0.628217," ","integrate(1/x^7/(b*x^2+a),x, algorithm=""giac"")","-\frac{b^{3} \log\left(x^{2}\right)}{2 \, a^{4}} + \frac{b^{3} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{4}} + \frac{11 \, b^{3} x^{6} - 6 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} - 2 \, a^{3}}{12 \, a^{4} x^{6}}"," ",0,"-1/2*b^3*log(x^2)/a^4 + 1/2*b^3*log(abs(b*x^2 + a))/a^4 + 1/12*(11*b^3*x^6 - 6*a*b^2*x^4 + 3*a^2*b*x^2 - 2*a^3)/(a^4*x^6)","A",0
143,1,62,0,0.636728," ","integrate(1/x^8/(b*x^2+a),x, algorithm=""giac"")","\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
144,1,81,0,0.625654," ","integrate(1/x^9/(b*x^2+a),x, algorithm=""giac"")","\frac{b^{4} \log\left(x^{2}\right)}{2 \, a^{5}} - \frac{b^{4} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{5}} - \frac{25 \, b^{4} x^{8} - 12 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + 3 \, a^{4}}{24 \, a^{5} x^{8}}"," ",0,"1/2*b^4*log(x^2)/a^5 - 1/2*b^4*log(abs(b*x^2 + a))/a^5 - 1/24*(25*b^4*x^8 - 12*a*b^3*x^6 + 6*a^2*b^2*x^4 - 4*a^3*b*x^2 + 3*a^4)/(a^5*x^8)","A",0
145,1,103,0,0.605988," ","integrate(x^13/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{3 \, a^{5} \log\left({\left| b x^{2} + a \right|}\right)}{b^{7}} + \frac{6 \, a^{5} b x^{2} + 5 \, a^{6}}{2 \, {\left(b x^{2} + a\right)} b^{7}} + \frac{2 \, b^{8} x^{10} - 5 \, a b^{7} x^{8} + 10 \, a^{2} b^{6} x^{6} - 20 \, a^{3} b^{5} x^{4} + 50 \, a^{4} b^{4} x^{2}}{20 \, b^{10}}"," ",0,"-3*a^5*log(abs(b*x^2 + a))/b^7 + 1/2*(6*a^5*b*x^2 + 5*a^6)/((b*x^2 + a)*b^7) + 1/20*(2*b^8*x^10 - 5*a*b^7*x^8 + 10*a^2*b^6*x^6 - 20*a^3*b^5*x^4 + 50*a^4*b^4*x^2)/b^10","A",0
146,1,95,0,0.644591," ","integrate(x^12/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{11 \, a^{5} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{6}} + \frac{a^{5} x}{2 \, {\left(b x^{2} + a\right)} b^{6}} + \frac{35 \, b^{16} x^{9} - 90 \, a b^{15} x^{7} + 189 \, a^{2} b^{14} x^{5} - 420 \, a^{3} b^{13} x^{3} + 1575 \, a^{4} b^{12} x}{315 \, b^{18}}"," ",0,"-11/2*a^5*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^6) + 1/2*a^5*x/((b*x^2 + a)*b^6) + 1/315*(35*b^16*x^9 - 90*a*b^15*x^7 + 189*a^2*b^14*x^5 - 420*a^3*b^13*x^3 + 1575*a^4*b^12*x)/b^18","A",0
147,1,92,0,0.626211," ","integrate(x^11/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{5 \, a^{4} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{6}} - \frac{5 \, a^{4} b x^{2} + 4 \, a^{5}}{2 \, {\left(b x^{2} + a\right)} b^{6}} + \frac{3 \, b^{6} x^{8} - 8 \, a b^{5} x^{6} + 18 \, a^{2} b^{4} x^{4} - 48 \, a^{3} b^{3} x^{2}}{24 \, b^{8}}"," ",0,"5/2*a^4*log(abs(b*x^2 + a))/b^6 - 1/2*(5*a^4*b*x^2 + 4*a^5)/((b*x^2 + a)*b^6) + 1/24*(3*b^6*x^8 - 8*a*b^5*x^6 + 18*a^2*b^4*x^4 - 48*a^3*b^3*x^2)/b^8","A",0
148,1,84,0,0.642311," ","integrate(x^10/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{9 \, a^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{5}} - \frac{a^{4} x}{2 \, {\left(b x^{2} + a\right)} b^{5}} + \frac{5 \, b^{12} x^{7} - 14 \, a b^{11} x^{5} + 35 \, a^{2} b^{10} x^{3} - 140 \, a^{3} b^{9} x}{35 \, b^{14}}"," ",0,"9/2*a^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^5) - 1/2*a^4*x/((b*x^2 + a)*b^5) + 1/35*(5*b^12*x^7 - 14*a*b^11*x^5 + 35*a^2*b^10*x^3 - 140*a^3*b^9*x)/b^14","A",0
149,1,80,0,0.653687," ","integrate(x^9/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{2 \, a^{3} \log\left({\left| b x^{2} + a \right|}\right)}{b^{5}} + \frac{b^{4} x^{6} - 3 \, a b^{3} x^{4} + 9 \, a^{2} b^{2} x^{2}}{6 \, b^{6}} + \frac{4 \, a^{3} b x^{2} + 3 \, a^{4}}{2 \, {\left(b x^{2} + a\right)} b^{5}}"," ",0,"-2*a^3*log(abs(b*x^2 + a))/b^5 + 1/6*(b^4*x^6 - 3*a*b^3*x^4 + 9*a^2*b^2*x^2)/b^6 + 1/2*(4*a^3*b*x^2 + 3*a^4)/((b*x^2 + a)*b^5)","A",0
150,1,73,0,0.631181," ","integrate(x^8/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{7 \, a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{4}} + \frac{a^{3} x}{2 \, {\left(b x^{2} + a\right)} b^{4}} + \frac{3 \, b^{8} x^{5} - 10 \, a b^{7} x^{3} + 45 \, a^{2} b^{6} x}{15 \, b^{10}}"," ",0,"-7/2*a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^4) + 1/2*a^3*x/((b*x^2 + a)*b^4) + 1/15*(3*b^8*x^5 - 10*a*b^7*x^3 + 45*a^2*b^6*x)/b^10","A",0
151,1,67,0,0.618931," ","integrate(x^7/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{4}} + \frac{b^{2} x^{4} - 4 \, a b x^{2}}{4 \, b^{4}} - \frac{3 \, a^{2} b x^{2} + 2 \, a^{3}}{2 \, {\left(b x^{2} + a\right)} b^{4}}"," ",0,"3/2*a^2*log(abs(b*x^2 + a))/b^4 + 1/4*(b^2*x^4 - 4*a*b*x^2)/b^4 - 1/2*(3*a^2*b*x^2 + 2*a^3)/((b*x^2 + a)*b^4)","A",0
152,1,61,0,0.638913," ","integrate(x^6/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{5 \, a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{3}} - \frac{a^{2} x}{2 \, {\left(b x^{2} + a\right)} b^{3}} + \frac{b^{4} x^{3} - 6 \, a b^{3} x}{3 \, b^{6}}"," ",0,"5/2*a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^3) - 1/2*a^2*x/((b*x^2 + a)*b^3) + 1/3*(b^4*x^3 - 6*a*b^3*x)/b^6","A",0
153,1,49,0,0.618337," ","integrate(x^5/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{x^{2}}{2 \, b^{2}} - \frac{a \log\left({\left| b x^{2} + a \right|}\right)}{b^{3}} + \frac{2 \, a b x^{2} + a^{2}}{2 \, {\left(b x^{2} + a\right)} b^{3}}"," ",0,"1/2*x^2/b^2 - a*log(abs(b*x^2 + a))/b^3 + 1/2*(2*a*b*x^2 + a^2)/((b*x^2 + a)*b^3)","A",0
154,1,42,0,0.628536," ","integrate(x^4/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{3 \, a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{2}} + \frac{a x}{2 \, {\left(b x^{2} + a\right)} b^{2}} + \frac{x}{b^{2}}"," ",0,"-3/2*a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2) + 1/2*a*x/((b*x^2 + a)*b^2) + x/b^2","A",0
155,1,48,0,0.639121," ","integrate(x^3/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{\frac{\log\left(\frac{{\left| b x^{2} + a \right|}}{{\left(b x^{2} + a\right)}^{2} {\left| b \right|}}\right)}{b} - \frac{a}{{\left(b x^{2} + a\right)} b}}{2 \, b}"," ",0,"-1/2*(log(abs(b*x^2 + a)/((b*x^2 + a)^2*abs(b)))/b - a/((b*x^2 + a)*b))/b","A",0
156,1,35,0,0.638288," ","integrate(x^2/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b} - \frac{x}{2 \, {\left(b x^{2} + a\right)} b}"," ",0,"1/2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b) - 1/2*x/((b*x^2 + a)*b)","A",0
157,1,14,0,0.642397," ","integrate(x/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(b x^{2} + a\right)} b}"," ",0,"-1/2/((b*x^2 + a)*b)","A",0
158,1,35,0,0.652696," ","integrate(1/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a} + \frac{x}{2 \, {\left(b x^{2} + a\right)} a}"," ",0,"1/2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a) + 1/2*x/((b*x^2 + a)*a)","A",0
159,1,47,0,0.631929," ","integrate(1/x/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a^{2}} - \frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{2}} + \frac{b x^{2} + 2 \, a}{2 \, {\left(b x^{2} + a\right)} a^{2}}"," ",0,"1/2*log(x^2)/a^2 - 1/2*log(abs(b*x^2 + a))/a^2 + 1/2*(b*x^2 + 2*a)/((b*x^2 + a)*a^2)","A",0
160,1,47,0,0.645786," ","integrate(1/x^2/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{2}} - \frac{3 \, b x^{2} + 2 \, a}{2 \, {\left(b x^{3} + a x\right)} a^{2}}"," ",0,"-3/2*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2) - 1/2*(3*b*x^2 + 2*a)/((b*x^3 + a*x)*a^2)","A",0
161,1,51,0,0.602876," ","integrate(1/x^3/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{b \log\left(x^{2}\right)}{a^{3}} + \frac{b \log\left({\left| b x^{2} + a \right|}\right)}{a^{3}} - \frac{2 \, b x^{2} + a}{2 \, {\left(b x^{4} + a x^{2}\right)} a^{2}}"," ",0,"-b*log(x^2)/a^3 + b*log(abs(b*x^2 + a))/a^3 - 1/2*(2*b*x^2 + a)/((b*x^4 + a*x^2)*a^2)","A",0
162,1,59,0,0.614422," ","integrate(1/x^4/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{5 \, b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{3}} + \frac{b^{2} x}{2 \, {\left(b x^{2} + a\right)} a^{3}} + \frac{6 \, b x^{2} - a}{3 \, a^{3} x^{3}}"," ",0,"5/2*b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3) + 1/2*b^2*x/((b*x^2 + a)*a^3) + 1/3*(6*b*x^2 - a)/(a^3*x^3)","A",0
163,1,86,0,0.633453," ","integrate(1/x^5/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{3 \, b^{2} \log\left(x^{2}\right)}{2 \, a^{4}} - \frac{3 \, b^{2} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{4}} + \frac{3 \, b^{3} x^{2} + 4 \, a b^{2}}{2 \, {\left(b x^{2} + a\right)} a^{4}} - \frac{9 \, b^{2} x^{4} - 4 \, a b x^{2} + a^{2}}{4 \, a^{4} x^{4}}"," ",0,"3/2*b^2*log(x^2)/a^4 - 3/2*b^2*log(abs(b*x^2 + a))/a^4 + 1/2*(3*b^3*x^2 + 4*a*b^2)/((b*x^2 + a)*a^4) - 1/4*(9*b^2*x^4 - 4*a*b*x^2 + a^2)/(a^4*x^4)","A",0
164,1,70,0,0.646665," ","integrate(1/x^6/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{7 \, b^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{4}} - \frac{b^{3} x}{2 \, {\left(b x^{2} + a\right)} a^{4}} - \frac{45 \, b^{2} x^{4} - 10 \, a b x^{2} + 3 \, a^{2}}{15 \, a^{4} x^{5}}"," ",0,"-7/2*b^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^4) - 1/2*b^3*x/((b*x^2 + a)*a^4) - 1/15*(45*b^2*x^4 - 10*a*b*x^2 + 3*a^2)/(a^4*x^5)","A",0
165,1,99,0,0.639155," ","integrate(1/x^7/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{2 \, b^{3} \log\left(x^{2}\right)}{a^{5}} + \frac{2 \, b^{3} \log\left({\left| b x^{2} + a \right|}\right)}{a^{5}} - \frac{4 \, b^{4} x^{2} + 5 \, a b^{3}}{2 \, {\left(b x^{2} + a\right)} a^{5}} + \frac{22 \, b^{3} x^{6} - 9 \, a b^{2} x^{4} + 3 \, a^{2} b x^{2} - a^{3}}{6 \, a^{5} x^{6}}"," ",0,"-2*b^3*log(x^2)/a^5 + 2*b^3*log(abs(b*x^2 + a))/a^5 - 1/2*(4*b^4*x^2 + 5*a*b^3)/((b*x^2 + a)*a^5) + 1/6*(22*b^3*x^6 - 9*a*b^2*x^4 + 3*a^2*b*x^2 - a^3)/(a^5*x^6)","A",0
166,1,81,0,0.619884," ","integrate(1/x^8/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{9 \, b^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{5}} + \frac{b^{4} x}{2 \, {\left(b x^{2} + a\right)} a^{5}} + \frac{140 \, b^{3} x^{6} - 35 \, a b^{2} x^{4} + 14 \, a^{2} b x^{2} - 5 \, a^{3}}{35 \, a^{5} x^{7}}"," ",0,"9/2*b^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^5) + 1/2*b^4*x/((b*x^2 + a)*a^5) + 1/35*(140*b^3*x^6 - 35*a*b^2*x^4 + 14*a^2*b*x^2 - 5*a^3)/(a^5*x^7)","A",0
167,1,110,0,0.627624," ","integrate(1/x^9/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{5 \, b^{4} \log\left(x^{2}\right)}{2 \, a^{6}} - \frac{5 \, b^{4} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{6}} + \frac{5 \, b^{5} x^{2} + 6 \, a b^{4}}{2 \, {\left(b x^{2} + a\right)} a^{6}} - \frac{125 \, b^{4} x^{8} - 48 \, a b^{3} x^{6} + 18 \, a^{2} b^{2} x^{4} - 8 \, a^{3} b x^{2} + 3 \, a^{4}}{24 \, a^{6} x^{8}}"," ",0,"5/2*b^4*log(x^2)/a^6 - 5/2*b^4*log(abs(b*x^2 + a))/a^6 + 1/2*(5*b^5*x^2 + 6*a*b^4)/((b*x^2 + a)*a^6) - 1/24*(125*b^4*x^8 - 48*a*b^3*x^6 + 18*a^2*b^2*x^4 - 8*a^3*b*x^2 + 3*a^4)/(a^6*x^8)","A",0
168,1,114,0,0.628041," ","integrate(x^15/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{21 \, a^{5} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{8}} + \frac{63 \, a^{5} b^{2} x^{4} + 112 \, a^{6} b x^{2} + 50 \, a^{7}}{4 \, {\left(b x^{2} + a\right)}^{2} b^{8}} + \frac{4 \, b^{12} x^{10} - 15 \, a b^{11} x^{8} + 40 \, a^{2} b^{10} x^{6} - 100 \, a^{3} b^{9} x^{4} + 300 \, a^{4} b^{8} x^{2}}{40 \, b^{15}}"," ",0,"-21/2*a^5*log(abs(b*x^2 + a))/b^8 + 1/4*(63*a^5*b^2*x^4 + 112*a^6*b*x^2 + 50*a^7)/((b*x^2 + a)^2*b^8) + 1/40*(4*b^12*x^10 - 15*a*b^11*x^8 + 40*a^2*b^10*x^6 - 100*a^3*b^9*x^4 + 300*a^4*b^8*x^2)/b^15","A",0
169,1,102,0,0.614710," ","integrate(x^13/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{15 \, a^{4} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{7}} - \frac{45 \, a^{4} b^{2} x^{4} + 78 \, a^{5} b x^{2} + 34 \, a^{6}}{4 \, {\left(b x^{2} + a\right)}^{2} b^{7}} + \frac{b^{9} x^{8} - 4 \, a b^{8} x^{6} + 12 \, a^{2} b^{7} x^{4} - 40 \, a^{3} b^{6} x^{2}}{8 \, b^{12}}"," ",0,"15/2*a^4*log(abs(b*x^2 + a))/b^7 - 1/4*(45*a^4*b^2*x^4 + 78*a^5*b*x^2 + 34*a^6)/((b*x^2 + a)^2*b^7) + 1/8*(b^9*x^8 - 4*a*b^8*x^6 + 12*a^2*b^7*x^4 - 40*a^3*b^6*x^2)/b^12","A",0
170,1,92,0,0.625334," ","integrate(x^11/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{5 \, a^{3} \log\left({\left| b x^{2} + a \right|}\right)}{b^{6}} + \frac{30 \, a^{3} b^{2} x^{4} + 50 \, a^{4} b x^{2} + 21 \, a^{5}}{4 \, {\left(b x^{2} + a\right)}^{2} b^{6}} + \frac{2 \, b^{6} x^{6} - 9 \, a b^{5} x^{4} + 36 \, a^{2} b^{4} x^{2}}{12 \, b^{9}}"," ",0,"-5*a^3*log(abs(b*x^2 + a))/b^6 + 1/4*(30*a^3*b^2*x^4 + 50*a^4*b*x^2 + 21*a^5)/((b*x^2 + a)^2*b^6) + 1/12*(2*b^6*x^6 - 9*a*b^5*x^4 + 36*a^2*b^4*x^2)/b^9","A",0
171,1,80,0,0.609142," ","integrate(x^9/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, a^{2} \log\left({\left| b x^{2} + a \right|}\right)}{b^{5}} + \frac{b^{3} x^{4} - 6 \, a b^{2} x^{2}}{4 \, b^{6}} - \frac{18 \, a^{2} b^{2} x^{4} + 28 \, a^{3} b x^{2} + 11 \, a^{4}}{4 \, {\left(b x^{2} + a\right)}^{2} b^{5}}"," ",0,"3*a^2*log(abs(b*x^2 + a))/b^5 + 1/4*(b^3*x^4 - 6*a*b^2*x^2)/b^6 - 1/4*(18*a^2*b^2*x^4 + 28*a^3*b*x^2 + 11*a^4)/((b*x^2 + a)^2*b^5)","A",0
172,1,62,0,0.660742," ","integrate(x^7/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{x^{2}}{2 \, b^{3}} - \frac{3 \, a \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{4}} + \frac{9 \, a b^{2} x^{4} + 12 \, a^{2} b x^{2} + 4 \, a^{3}}{4 \, {\left(b x^{2} + a\right)}^{2} b^{4}}"," ",0,"1/2*x^2/b^3 - 3/2*a*log(abs(b*x^2 + a))/b^4 + 1/4*(9*a*b^2*x^4 + 12*a^2*b*x^2 + 4*a^3)/((b*x^2 + a)^2*b^4)","A",0
173,1,42,0,0.623315," ","integrate(x^5/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{3}} - \frac{3 \, b x^{4} + 2 \, a x^{2}}{4 \, {\left(b x^{2} + a\right)}^{2} b^{2}}"," ",0,"1/2*log(abs(b*x^2 + a))/b^3 - 1/4*(3*b*x^4 + 2*a*x^2)/((b*x^2 + a)^2*b^2)","A",0
174,1,22,0,0.618088," ","integrate(x^3/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{2 \, b x^{2} + a}{4 \, {\left(b x^{2} + a\right)}^{2} b^{2}}"," ",0,"-1/4*(2*b*x^2 + a)/((b*x^2 + a)^2*b^2)","A",0
175,1,14,0,0.626886," ","integrate(x/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{1}{4 \, {\left(b x^{2} + a\right)}^{2} b}"," ",0,"-1/4/((b*x^2 + a)^2*b)","A",0
176,1,59,0,0.623784," ","integrate(1/x/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a^{3}} - \frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{3}} + \frac{3 \, b^{2} x^{4} + 8 \, a b x^{2} + 6 \, a^{2}}{4 \, {\left(b x^{2} + a\right)}^{2} a^{3}}"," ",0,"1/2*log(x^2)/a^3 - 1/2*log(abs(b*x^2 + a))/a^3 + 1/4*(3*b^2*x^4 + 8*a*b*x^2 + 6*a^2)/((b*x^2 + a)^2*a^3)","A",0
177,1,82,0,0.619242," ","integrate(1/x^3/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{3 \, b \log\left(x^{2}\right)}{2 \, a^{4}} + \frac{3 \, b \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{4}} - \frac{9 \, b^{3} x^{4} + 22 \, a b^{2} x^{2} + 14 \, a^{2} b}{4 \, {\left(b x^{2} + a\right)}^{2} a^{4}} + \frac{3 \, b x^{2} - a}{2 \, a^{4} x^{2}}"," ",0,"-3/2*b*log(x^2)/a^4 + 3/2*b*log(abs(b*x^2 + a))/a^4 - 1/4*(9*b^3*x^4 + 22*a*b^2*x^2 + 14*a^2*b)/((b*x^2 + a)^2*a^4) + 1/2*(3*b*x^2 - a)/(a^4*x^2)","A",0
178,1,80,0,0.645992," ","integrate(1/x^5/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, b^{2} \log\left(x^{2}\right)}{a^{5}} - \frac{3 \, b^{2} \log\left({\left| b x^{2} + a \right|}\right)}{a^{5}} + \frac{12 \, b^{3} x^{6} + 18 \, a b^{2} x^{4} + 4 \, a^{2} b x^{2} - a^{3}}{4 \, {\left(b x^{4} + a x^{2}\right)}^{2} a^{4}}"," ",0,"3*b^2*log(x^2)/a^5 - 3*b^2*log(abs(b*x^2 + a))/a^5 + 1/4*(12*b^3*x^6 + 18*a*b^2*x^4 + 4*a^2*b*x^2 - a^3)/((b*x^4 + a*x^2)^2*a^4)","A",0
179,1,110,0,0.653772," ","integrate(1/x^7/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{5 \, b^{3} \log\left(x^{2}\right)}{a^{6}} + \frac{5 \, b^{3} \log\left({\left| b x^{2} + a \right|}\right)}{a^{6}} - \frac{30 \, b^{5} x^{4} + 68 \, a b^{4} x^{2} + 39 \, a^{2} b^{3}}{4 \, {\left(b x^{2} + a\right)}^{2} a^{6}} + \frac{110 \, b^{3} x^{6} - 36 \, a b^{2} x^{4} + 9 \, a^{2} b x^{2} - 2 \, a^{3}}{12 \, a^{6} x^{6}}"," ",0,"-5*b^3*log(x^2)/a^6 + 5*b^3*log(abs(b*x^2 + a))/a^6 - 1/4*(30*b^5*x^4 + 68*a*b^4*x^2 + 39*a^2*b^3)/((b*x^2 + a)^2*a^6) + 1/12*(110*b^3*x^6 - 36*a*b^2*x^4 + 9*a^2*b*x^2 - 2*a^3)/(a^6*x^6)","A",0
180,1,119,0,0.633926," ","integrate(1/x^9/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{15 \, b^{4} \log\left(x^{2}\right)}{2 \, a^{7}} - \frac{15 \, b^{4} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{7}} + \frac{45 \, b^{6} x^{4} + 100 \, a b^{5} x^{2} + 56 \, a^{2} b^{4}}{4 \, {\left(b x^{2} + a\right)}^{2} a^{7}} - \frac{125 \, b^{4} x^{8} - 40 \, a b^{3} x^{6} + 12 \, a^{2} b^{2} x^{4} - 4 \, a^{3} b x^{2} + a^{4}}{8 \, a^{7} x^{8}}"," ",0,"15/2*b^4*log(x^2)/a^7 - 15/2*b^4*log(abs(b*x^2 + a))/a^7 + 1/4*(45*b^6*x^4 + 100*a*b^5*x^2 + 56*a^2*b^4)/((b*x^2 + a)^2*a^7) - 1/8*(125*b^4*x^8 - 40*a*b^3*x^6 + 12*a^2*b^2*x^4 - 4*a^3*b*x^2 + a^4)/(a^7*x^8)","A",0
181,1,96,0,0.613460," ","integrate(x^12/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{99 \, a^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{6}} - \frac{21 \, a^{4} b x^{3} + 19 \, a^{5} x}{8 \, {\left(b x^{2} + a\right)}^{2} b^{6}} + \frac{5 \, b^{18} x^{7} - 21 \, a b^{17} x^{5} + 70 \, a^{2} b^{16} x^{3} - 350 \, a^{3} b^{15} x}{35 \, b^{21}}"," ",0,"99/8*a^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^6) - 1/8*(21*a^4*b*x^3 + 19*a^5*x)/((b*x^2 + a)^2*b^6) + 1/35*(5*b^18*x^7 - 21*a*b^17*x^5 + 70*a^2*b^16*x^3 - 350*a^3*b^15*x)/b^21","A",0
182,1,84,0,0.640744," ","integrate(x^10/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{63 \, a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{5}} + \frac{17 \, a^{3} b x^{3} + 15 \, a^{4} x}{8 \, {\left(b x^{2} + a\right)}^{2} b^{5}} + \frac{b^{12} x^{5} - 5 \, a b^{11} x^{3} + 30 \, a^{2} b^{10} x}{5 \, b^{15}}"," ",0,"-63/8*a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^5) + 1/8*(17*a^3*b*x^3 + 15*a^4*x)/((b*x^2 + a)^2*b^5) + 1/5*(b^12*x^5 - 5*a*b^11*x^3 + 30*a^2*b^10*x)/b^15","A",0
183,1,73,0,0.630432," ","integrate(x^8/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{35 \, a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{4}} - \frac{13 \, a^{2} b x^{3} + 11 \, a^{3} x}{8 \, {\left(b x^{2} + a\right)}^{2} b^{4}} + \frac{b^{6} x^{3} - 9 \, a b^{5} x}{3 \, b^{9}}"," ",0,"35/8*a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^4) - 1/8*(13*a^2*b*x^3 + 11*a^3*x)/((b*x^2 + a)^2*b^4) + 1/3*(b^6*x^3 - 9*a*b^5*x)/b^9","A",0
184,1,54,0,0.636200," ","integrate(x^6/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{15 \, a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{3}} + \frac{x}{b^{3}} + \frac{9 \, a b x^{3} + 7 \, a^{2} x}{8 \, {\left(b x^{2} + a\right)}^{2} b^{3}}"," ",0,"-15/8*a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^3) + x/b^3 + 1/8*(9*a*b*x^3 + 7*a^2*x)/((b*x^2 + a)^2*b^3)","A",0
185,1,45,0,0.597607," ","integrate(x^4/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{2}} - \frac{5 \, b x^{3} + 3 \, a x}{8 \, {\left(b x^{2} + a\right)}^{2} b^{2}}"," ",0,"3/8*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2) - 1/8*(5*b*x^3 + 3*a*x)/((b*x^2 + a)^2*b^2)","A",0
186,1,50,0,0.615023," ","integrate(x^2/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a b} + \frac{b x^{3} - a x}{8 \, {\left(b x^{2} + a\right)}^{2} a b}"," ",0,"1/8*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a*b) + 1/8*(b*x^3 - a*x)/((b*x^2 + a)^2*a*b)","A",0
187,1,45,0,0.632548," ","integrate(1/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{2}} + \frac{3 \, b x^{3} + 5 \, a x}{8 \, {\left(b x^{2} + a\right)}^{2} a^{2}}"," ",0,"3/8*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/8*(3*b*x^3 + 5*a*x)/((b*x^2 + a)^2*a^2)","A",0
188,1,57,0,0.636697," ","integrate(1/x^2/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{15 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{3}} - \frac{7 \, b^{2} x^{3} + 9 \, a b x}{8 \, {\left(b x^{2} + a\right)}^{2} a^{3}} - \frac{1}{a^{3} x}"," ",0,"-15/8*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3) - 1/8*(7*b^2*x^3 + 9*a*b*x)/((b*x^2 + a)^2*a^3) - 1/(a^3*x)","A",0
189,1,71,0,0.639786," ","integrate(1/x^4/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{35 \, b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{4}} + \frac{11 \, b^{3} x^{3} + 13 \, a b^{2} x}{8 \, {\left(b x^{2} + a\right)}^{2} a^{4}} + \frac{9 \, b x^{2} - a}{3 \, a^{4} x^{3}}"," ",0,"35/8*b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^4) + 1/8*(11*b^3*x^3 + 13*a*b^2*x)/((b*x^2 + a)^2*a^4) + 1/3*(9*b*x^2 - a)/(a^4*x^3)","A",0
190,1,80,0,0.638120," ","integrate(1/x^6/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{63 \, b^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{5}} - \frac{15 \, b^{4} x^{3} + 17 \, a b^{3} x}{8 \, {\left(b x^{2} + a\right)}^{2} a^{5}} - \frac{30 \, b^{2} x^{4} - 5 \, a b x^{2} + a^{2}}{5 \, a^{5} x^{5}}"," ",0,"-63/8*b^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^5) - 1/8*(15*b^4*x^3 + 17*a*b^3*x)/((b*x^2 + a)^2*a^5) - 1/5*(30*b^2*x^4 - 5*a*b*x^2 + a^2)/(a^5*x^5)","A",0
191,1,93,0,0.606518," ","integrate(1/x^8/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{99 \, b^{4} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{6}} + \frac{19 \, b^{5} x^{3} + 21 \, a b^{4} x}{8 \, {\left(b x^{2} + a\right)}^{2} a^{6}} + \frac{350 \, b^{3} x^{6} - 70 \, a b^{2} x^{4} + 21 \, a^{2} b x^{2} - 5 \, a^{3}}{35 \, a^{6} x^{7}}"," ",0,"99/8*b^4*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^6) + 1/8*(19*b^5*x^3 + 21*a*b^4*x)/((b*x^2 + a)^2*a^6) + 1/35*(350*b^3*x^6 - 70*a*b^2*x^4 + 21*a^2*b*x^2 - 5*a^3)/(a^6*x^7)","A",0
192,1,168,0,0.635072," ","integrate(x^25/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{110 \, a^{3} \log\left({\left| b x^{2} + a \right|}\right)}{b^{13}} + \frac{78419 \, a^{3} b^{9} x^{18} + 643401 \, a^{4} b^{8} x^{16} + 2374020 \, a^{5} b^{7} x^{14} + 5151300 \, a^{6} b^{6} x^{12} + 7227990 \, a^{7} b^{5} x^{10} + 6791400 \, a^{8} b^{4} x^{8} + 4268880 \, a^{9} b^{3} x^{6} + 1729728 \, a^{10} b^{2} x^{4} + 409752 \, a^{11} b x^{2} + 43218 \, a^{12}}{252 \, {\left(b x^{2} + a\right)}^{9} b^{13}} + \frac{b^{20} x^{6} - 15 \, a b^{19} x^{4} + 165 \, a^{2} b^{18} x^{2}}{6 \, b^{30}}"," ",0,"-110*a^3*log(abs(b*x^2 + a))/b^13 + 1/252*(78419*a^3*b^9*x^18 + 643401*a^4*b^8*x^16 + 2374020*a^5*b^7*x^14 + 5151300*a^6*b^6*x^12 + 7227990*a^7*b^5*x^10 + 6791400*a^8*b^4*x^8 + 4268880*a^9*b^3*x^6 + 1729728*a^10*b^2*x^4 + 409752*a^11*b*x^2 + 43218*a^12)/((b*x^2 + a)^9*b^13) + 1/6*(b^20*x^6 - 15*a*b^19*x^4 + 165*a^2*b^18*x^2)/b^30","A",0
193,1,157,0,0.634294," ","integrate(x^23/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{55 \, a^{2} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{12}} + \frac{b^{10} x^{4} - 20 \, a b^{9} x^{2}}{4 \, b^{20}} - \frac{78419 \, a^{2} b^{9} x^{18} + 622611 \, a^{3} b^{8} x^{16} + 2240964 \, a^{4} b^{7} x^{14} + 4763220 \, a^{5} b^{6} x^{12} + 6562710 \, a^{6} b^{5} x^{10} + 6063750 \, a^{7} b^{4} x^{8} + 3751440 \, a^{8} b^{3} x^{6} + 1496880 \, a^{9} b^{2} x^{4} + 349272 \, a^{10} b x^{2} + 36288 \, a^{11}}{1008 \, {\left(b x^{2} + a\right)}^{9} b^{12}}"," ",0,"55/2*a^2*log(abs(b*x^2 + a))/b^12 + 1/4*(b^10*x^4 - 20*a*b^9*x^2)/b^20 - 1/1008*(78419*a^2*b^9*x^18 + 622611*a^3*b^8*x^16 + 2240964*a^4*b^7*x^14 + 4763220*a^5*b^6*x^12 + 6562710*a^6*b^5*x^10 + 6063750*a^7*b^4*x^8 + 3751440*a^8*b^3*x^6 + 1496880*a^9*b^2*x^4 + 349272*a^10*b*x^2 + 36288*a^11)/((b*x^2 + a)^9*b^12)","A",0
194,1,139,0,0.634321," ","integrate(x^21/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{x^{2}}{2 \, b^{10}} - \frac{5 \, a \log\left({\left| b x^{2} + a \right|}\right)}{b^{11}} + \frac{7129 \, a b^{9} x^{18} + 52821 \, a^{2} b^{8} x^{16} + 181044 \, a^{3} b^{7} x^{14} + 369516 \, a^{4} b^{6} x^{12} + 490770 \, a^{5} b^{5} x^{10} + 437850 \, a^{6} b^{4} x^{8} + 261660 \, a^{7} b^{3} x^{6} + 100800 \, a^{8} b^{2} x^{4} + 22680 \, a^{9} b x^{2} + 2268 \, a^{10}}{504 \, {\left(b x^{2} + a\right)}^{9} b^{11}}"," ",0,"1/2*x^2/b^10 - 5*a*log(abs(b*x^2 + a))/b^11 + 1/504*(7129*a*b^9*x^18 + 52821*a^2*b^8*x^16 + 181044*a^3*b^7*x^14 + 369516*a^4*b^6*x^12 + 490770*a^5*b^5*x^10 + 437850*a^6*b^4*x^8 + 261660*a^7*b^3*x^6 + 100800*a^8*b^2*x^4 + 22680*a^9*b*x^2 + 2268*a^10)/((b*x^2 + a)^9*b^11)","A",0
195,1,119,0,0.614876," ","integrate(x^19/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{10}} - \frac{7129 \, b^{8} x^{18} + 41481 \, a b^{7} x^{16} + 120564 \, a^{2} b^{6} x^{14} + 210756 \, a^{3} b^{5} x^{12} + 236754 \, a^{4} b^{4} x^{10} + 173250 \, a^{5} b^{3} x^{8} + 80220 \, a^{6} b^{2} x^{6} + 21420 \, a^{7} b x^{4} + 2520 \, a^{8} x^{2}}{5040 \, {\left(b x^{2} + a\right)}^{9} b^{9}}"," ",0,"1/2*log(abs(b*x^2 + a))/b^10 - 1/5040*(7129*b^8*x^18 + 41481*a*b^7*x^16 + 120564*a^2*b^6*x^14 + 210756*a^3*b^5*x^12 + 236754*a^4*b^4*x^10 + 173250*a^5*b^3*x^8 + 80220*a^6*b^2*x^6 + 21420*a^7*b*x^4 + 2520*a^8*x^2)/((b*x^2 + a)^9*b^9)","A",0
196,1,99,0,0.640329," ","integrate(x^17/(b*x^2+a)^10,x, algorithm=""giac"")","-\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 x^{2} + a\right)}^{9} b^{9}}"," ",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*x^2 + a)^9*b^9)","B",0
197,1,88,0,0.627008," ","integrate(x^15/(b*x^2+a)^10,x, algorithm=""giac"")","-\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 x^{2} + a\right)}^{9} b^{8}}"," ",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*x^2 + a)^9*b^8)","B",0
198,1,77,0,0.625995," ","integrate(x^13/(b*x^2+a)^10,x, algorithm=""giac"")","-\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 x^{2} + a\right)}^{9} b^{7}}"," ",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*x^2 + a)^9*b^7)","A",0
199,1,66,0,0.632577," ","integrate(x^11/(b*x^2+a)^10,x, algorithm=""giac"")","-\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 x^{2} + a\right)}^{9} b^{6}}"," ",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*x^2 + a)^9*b^6)","A",0
200,1,55,0,0.635150," ","integrate(x^9/(b*x^2+a)^10,x, algorithm=""giac"")","-\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 x^{2} + a\right)}^{9} b^{5}}"," ",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*x^2 + a)^9*b^5)","A",0
201,1,44,0,0.643989," ","integrate(x^7/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{84 \, b^{3} x^{6} + 36 \, a b^{2} x^{4} + 9 \, a^{2} b x^{2} + a^{3}}{1008 \, {\left(b x^{2} + a\right)}^{9} b^{4}}"," ",0,"-1/1008*(84*b^3*x^6 + 36*a*b^2*x^4 + 9*a^2*b*x^2 + a^3)/((b*x^2 + a)^9*b^4)","A",0
202,1,33,0,0.638942," ","integrate(x^5/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{36 \, b^{2} x^{4} + 9 \, a b x^{2} + a^{2}}{504 \, {\left(b x^{2} + a\right)}^{9} b^{3}}"," ",0,"-1/504*(36*b^2*x^4 + 9*a*b*x^2 + a^2)/((b*x^2 + a)^9*b^3)","A",0
203,1,22,0,0.622752," ","integrate(x^3/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{9 \, b x^{2} + a}{144 \, {\left(b x^{2} + a\right)}^{9} b^{2}}"," ",0,"-1/144*(9*b*x^2 + a)/((b*x^2 + a)^9*b^2)","A",0
204,1,14,0,0.587254," ","integrate(x/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{1}{18 \, {\left(b x^{2} + a\right)}^{9} b}"," ",0,"-1/18/((b*x^2 + a)^9*b)","A",0
205,1,136,0,0.632167," ","integrate(1/x/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a^{10}} - \frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{10}} + \frac{7129 \, b^{9} x^{18} + 66681 \, a b^{8} x^{16} + 278064 \, a^{2} b^{7} x^{14} + 679056 \, a^{3} b^{6} x^{12} + 1071504 \, a^{4} b^{5} x^{10} + 1135008 \, a^{5} b^{4} x^{8} + 809592 \, a^{6} b^{3} x^{6} + 377208 \, a^{7} b^{2} x^{4} + 105642 \, a^{8} b x^{2} + 14258 \, a^{9}}{5040 \, {\left(b x^{2} + a\right)}^{9} a^{10}}"," ",0,"1/2*log(x^2)/a^10 - 1/2*log(abs(b*x^2 + a))/a^10 + 1/5040*(7129*b^9*x^18 + 66681*a*b^8*x^16 + 278064*a^2*b^7*x^14 + 679056*a^3*b^6*x^12 + 1071504*a^4*b^5*x^10 + 1135008*a^5*b^4*x^8 + 809592*a^6*b^3*x^6 + 377208*a^7*b^2*x^4 + 105642*a^8*b*x^2 + 14258*a^9)/((b*x^2 + a)^9*a^10)","A",0
206,1,159,0,0.592144," ","integrate(1/x^3/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{5 \, b \log\left(x^{2}\right)}{a^{11}} + \frac{5 \, b \log\left({\left| b x^{2} + a \right|}\right)}{a^{11}} + \frac{10 \, b x^{2} - a}{2 \, a^{11} x^{2}} - \frac{7129 \, b^{10} x^{18} + 66429 \, a b^{9} x^{16} + 275796 \, a^{2} b^{8} x^{14} + 669984 \, a^{3} b^{7} x^{12} + 1050336 \, a^{4} b^{6} x^{10} + 1103256 \, a^{5} b^{5} x^{8} + 777840 \, a^{6} b^{4} x^{6} + 356040 \, a^{7} b^{3} x^{4} + 96570 \, a^{8} b^{2} x^{2} + 11990 \, a^{9} b}{504 \, {\left(b x^{2} + a\right)}^{9} a^{11}}"," ",0,"-5*b*log(x^2)/a^11 + 5*b*log(abs(b*x^2 + a))/a^11 + 1/2*(10*b*x^2 - a)/(a^11*x^2) - 1/504*(7129*b^10*x^18 + 66429*a*b^9*x^16 + 275796*a^2*b^8*x^14 + 669984*a^3*b^7*x^12 + 1050336*a^4*b^6*x^10 + 1103256*a^5*b^5*x^8 + 777840*a^6*b^4*x^6 + 356040*a^7*b^3*x^4 + 96570*a^8*b^2*x^2 + 11990*a^9*b)/((b*x^2 + a)^9*a^11)","A",0
207,1,174,0,0.606858," ","integrate(1/x^5/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{55 \, b^{2} \log\left(x^{2}\right)}{2 \, a^{12}} - \frac{55 \, b^{2} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{12}} - \frac{165 \, b^{2} x^{4} - 20 \, a b x^{2} + a^{2}}{4 \, a^{12} x^{4}} + \frac{78419 \, b^{11} x^{18} + 728451 \, a b^{10} x^{16} + 3013596 \, a^{2} b^{9} x^{14} + 7290444 \, a^{3} b^{8} x^{12} + 11372256 \, a^{4} b^{7} x^{10} + 11871216 \, a^{5} b^{6} x^{8} + 8302224 \, a^{6} b^{5} x^{6} + 3757680 \, a^{7} b^{4} x^{4} + 1001790 \, a^{8} b^{3} x^{2} + 120550 \, a^{9} b^{2}}{1008 \, {\left(b x^{2} + a\right)}^{9} a^{12}}"," ",0,"55/2*b^2*log(x^2)/a^12 - 55/2*b^2*log(abs(b*x^2 + a))/a^12 - 1/4*(165*b^2*x^4 - 20*a*b*x^2 + a^2)/(a^12*x^4) + 1/1008*(78419*b^11*x^18 + 728451*a*b^10*x^16 + 3013596*a^2*b^9*x^14 + 7290444*a^3*b^8*x^12 + 11372256*a^4*b^7*x^10 + 11871216*a^5*b^6*x^8 + 8302224*a^6*b^5*x^6 + 3757680*a^7*b^4*x^4 + 1001790*a^8*b^3*x^2 + 120550*a^9*b^2)/((b*x^2 + a)^9*a^12)","A",0
208,1,187,0,0.643898," ","integrate(1/x^7/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{110 \, b^{3} \log\left(x^{2}\right)}{a^{13}} + \frac{110 \, b^{3} \log\left({\left| b x^{2} + a \right|}\right)}{a^{13}} + \frac{1210 \, b^{3} x^{6} - 165 \, a b^{2} x^{4} + 15 \, a^{2} b x^{2} - a^{3}}{6 \, a^{13} x^{6}} - \frac{78419 \, b^{12} x^{18} + 726561 \, a b^{11} x^{16} + 2996964 \, a^{2} b^{10} x^{14} + 7225764 \, a^{3} b^{9} x^{12} + 11226726 \, a^{4} b^{8} x^{10} + 11663316 \, a^{5} b^{7} x^{8} + 8108184 \, a^{6} b^{6} x^{6} + 3641256 \, a^{7} b^{5} x^{4} + 960210 \, a^{8} b^{4} x^{2} + 113620 \, a^{9} b^{3}}{252 \, {\left(b x^{2} + a\right)}^{9} a^{13}}"," ",0,"-110*b^3*log(x^2)/a^13 + 110*b^3*log(abs(b*x^2 + a))/a^13 + 1/6*(1210*b^3*x^6 - 165*a*b^2*x^4 + 15*a^2*b*x^2 - a^3)/(a^13*x^6) - 1/252*(78419*b^12*x^18 + 726561*a*b^11*x^16 + 2996964*a^2*b^10*x^14 + 7225764*a^3*b^9*x^12 + 11226726*a^4*b^8*x^10 + 11663316*a^5*b^7*x^8 + 8108184*a^6*b^6*x^6 + 3641256*a^7*b^5*x^4 + 960210*a^8*b^4*x^2 + 113620*a^9*b^3)/((b*x^2 + a)^9*a^13)","A",0
209,1,162,0,0.594031," ","integrate(x^24/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{7436429 \, a^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{12}} + \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 x^{2} + a\right)}^{9} b^{12}} + \frac{3 \, b^{40} x^{5} - 50 \, a b^{39} x^{3} + 825 \, a^{2} b^{38} x}{15 \, b^{50}}"," ",0,"-7436429/65536*a^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^12) + 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*x^2 + a)^9*b^12) + 1/15*(3*b^40*x^5 - 50*a*b^39*x^3 + 825*a^2*b^38*x)/b^50","A",0
210,1,150,0,0.646234," ","integrate(x^22/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{1616615 \, a^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{11}} - \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 x^{2} + a\right)}^{9} b^{11}} + \frac{b^{20} x^{3} - 30 \, a b^{19} x}{3 \, b^{30}}"," ",0,"1616615/65536*a^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^11) - 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*x^2 + a)^9*b^11) + 1/3*(b^20*x^3 - 30*a*b^19*x)/b^30","A",0
211,1,131,0,0.635270," ","integrate(x^20/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{230945 \, a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{10}} + \frac{x}{b^{10}} + \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 x^{2} + a\right)}^{9} b^{10}}"," ",0,"-230945/65536*a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^10) + x/b^10 + 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*x^2 + a)^9*b^10)","A",0
212,1,122,0,0.617325," ","integrate(x^18/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{12155 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} b^{9}} - \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 x^{2} + a\right)}^{9} b^{9}}"," ",0,"12155/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^9) - 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*x^2 + a)^9*b^9)","A",0
213,1,128,0,0.630974," ","integrate(x^16/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{715 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a b^{8}} + \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(b x^{2} + a\right)}^{9} a b^{8}}"," ",0,"715/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a*b^8) + 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)/((b*x^2 + a)^9*a*b^8)","A",0
214,1,128,0,0.636329," ","integrate(x^14/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{143 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{2} b^{7}} + \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(b x^{2} + a\right)}^{9} a^{2} b^{7}}"," ",0,"143/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2*b^7) + 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)/((b*x^2 + a)^9*a^2*b^7)","A",0
215,1,128,0,0.633897," ","integrate(x^12/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{55 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{3} b^{6}} + \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(b x^{2} + a\right)}^{9} a^{3} b^{6}}"," ",0,"55/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3*b^6) + 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)/((b*x^2 + a)^9*a^3*b^6)","A",0
216,1,128,0,0.630503," ","integrate(x^10/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{35 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{4} b^{5}} + \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(b x^{2} + a\right)}^{9} a^{4} b^{5}}"," ",0,"35/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^4*b^5) + 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)/((b*x^2 + a)^9*a^4*b^5)","A",0
217,1,128,0,0.602197," ","integrate(x^8/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{35 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{5} b^{4}} + \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(b x^{2} + a\right)}^{9} a^{5} b^{4}}"," ",0,"35/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^5*b^4) + 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)/((b*x^2 + a)^9*a^5*b^4)","A",0
218,1,128,0,0.608706," ","integrate(x^6/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{55 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{6} b^{3}} + \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(b x^{2} + a\right)}^{9} a^{6} b^{3}}"," ",0,"55/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^6*b^3) + 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)/((b*x^2 + a)^9*a^6*b^3)","A",0
219,1,128,0,0.631613," ","integrate(x^4/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{143 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{7} b^{2}} + \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(b x^{2} + a\right)}^{9} a^{7} b^{2}}"," ",0,"143/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^7*b^2) + 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)/((b*x^2 + a)^9*a^7*b^2)","A",0
220,1,128,0,0.617157," ","integrate(x^2/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{715 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{8} b} + \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(b x^{2} + a\right)}^{9} a^{8} b}"," ",0,"715/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^8*b) + 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)/((b*x^2 + a)^9*a^8*b)","A",0
221,1,122,0,0.601012," ","integrate(1/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{12155 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{9}} + \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(b x^{2} + a\right)}^{9} a^{9}}"," ",0,"12155/65536*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^9) + 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)/((b*x^2 + a)^9*a^9)","A",0
222,1,134,0,0.634449," ","integrate(1/x^2/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{230945 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{10}} - \frac{1}{a^{10} x} - \frac{10420767 \, b^{9} x^{17} + 88937058 \, a b^{8} x^{15} + 334408914 \, a^{2} b^{7} x^{13} + 724860666 \, a^{3} b^{6} x^{11} + 993296384 \, a^{4} b^{5} x^{9} + 884769030 \, a^{5} b^{4} x^{7} + 503730990 \, a^{6} b^{3} x^{5} + 169799070 \, a^{7} b^{2} x^{3} + 26738145 \, a^{8} b x}{4128768 \, {\left(b x^{2} + a\right)}^{9} a^{10}}"," ",0,"-230945/65536*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^10) - 1/(a^10*x) - 1/4128768*(10420767*b^9*x^17 + 88937058*a*b^8*x^15 + 334408914*a^2*b^7*x^13 + 724860666*a^3*b^6*x^11 + 993296384*a^4*b^5*x^9 + 884769030*a^5*b^4*x^7 + 503730990*a^6*b^3*x^5 + 169799070*a^7*b^2*x^3 + 26738145*a^8*b*x)/((b*x^2 + a)^9*a^10)","A",0
223,1,148,0,0.632493," ","integrate(1/x^4/(b*x^2+a)^10,x, algorithm=""giac"")","\frac{1616615 \, b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{11}} + \frac{30 \, b x^{2} - a}{3 \, a^{11} x^{3}} + \frac{8651295 \, b^{10} x^{17} + 73208418 \, a b^{9} x^{15} + 272477394 \, a^{2} b^{8} x^{13} + 583302906 \, a^{3} b^{7} x^{11} + 786857984 \, a^{4} b^{6} x^{9} + 686588166 \, a^{5} b^{5} x^{7} + 379867950 \, a^{6} b^{4} x^{5} + 122613150 \, a^{7} b^{3} x^{3} + 17890785 \, a^{8} b^{2} x}{589824 \, {\left(b x^{2} + a\right)}^{9} a^{11}}"," ",0,"1616615/65536*b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^11) + 1/3*(30*b*x^2 - a)/(a^11*x^3) + 1/589824*(8651295*b^10*x^17 + 73208418*a*b^9*x^15 + 272477394*a^2*b^8*x^13 + 583302906*a^3*b^7*x^11 + 786857984*a^4*b^6*x^9 + 686588166*a^5*b^5*x^7 + 379867950*a^6*b^4*x^5 + 122613150*a^7*b^3*x^3 + 17890785*a^8*b^2*x)/((b*x^2 + a)^9*a^11)","A",0
224,1,159,0,0.597578," ","integrate(1/x^6/(b*x^2+a)^10,x, algorithm=""giac"")","-\frac{7436429 \, b^{3} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{65536 \, \sqrt{a b} a^{12}} - \frac{825 \, b^{2} x^{4} - 50 \, a b x^{2} + 3 \, a^{2}}{15 \, a^{12} x^{5}} - \frac{172437705 \, b^{11} x^{17} + 1450223310 \, a b^{10} x^{15} + 5358651102 \, a^{2} b^{9} x^{13} + 11372226678 \, a^{3} b^{8} x^{11} + 15178104832 \, a^{4} b^{7} x^{9} + 13066540938 \, a^{5} b^{6} x^{7} + 7101970722 \, a^{6} b^{5} x^{5} + 2236176690 \, a^{7} b^{4} x^{3} + 314167095 \, a^{8} b^{3} x}{2949120 \, {\left(b x^{2} + a\right)}^{9} a^{12}}"," ",0,"-7436429/65536*b^3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^12) - 1/15*(825*b^2*x^4 - 50*a*b*x^2 + 3*a^2)/(a^12*x^5) - 1/2949120*(172437705*b^11*x^17 + 1450223310*a*b^10*x^15 + 5358651102*a^2*b^9*x^13 + 11372226678*a^3*b^8*x^11 + 15178104832*a^4*b^7*x^9 + 13066540938*a^5*b^6*x^7 + 7101970722*a^6*b^5*x^5 + 2236176690*a^7*b^4*x^3 + 314167095*a^8*b^3*x)/((b*x^2 + a)^9*a^12)","A",0
225,1,26,0,0.620328," ","integrate(x^3/(-b*x^2+a),x, algorithm=""giac"")","-\frac{x^{2}}{2 \, b} - \frac{a \log\left({\left| b x^{2} - a \right|}\right)}{2 \, b^{2}}"," ",0,"-1/2*x^2/b - 1/2*a*log(abs(b*x^2 - a))/b^2","A",0
226,1,29,0,0.628367," ","integrate(x^2/(-b*x^2+a),x, algorithm=""giac"")","-\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
227,1,16,0,0.611112," ","integrate(x/(-b*x^2+a),x, algorithm=""giac"")","-\frac{\log\left({\left| b x^{2} - a \right|}\right)}{2 \, b}"," ",0,"-1/2*log(abs(b*x^2 - a))/b","A",0
228,1,18,0,0.588332," ","integrate(1/(-b*x^2+a),x, algorithm=""giac"")","-\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
229,1,26,0,0.578138," ","integrate(1/x/(-b*x^2+a),x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a} - \frac{\log\left({\left| b x^{2} - a \right|}\right)}{2 \, a}"," ",0,"1/2*log(x^2)/a - 1/2*log(abs(b*x^2 - a))/a","A",0
230,1,31,0,0.622283," ","integrate(1/x^2/(-b*x^2+a),x, algorithm=""giac"")","-\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
231,1,43,0,0.582963," ","integrate(1/x^3/(-b*x^2+a),x, algorithm=""giac"")","\frac{b \log\left(x^{2}\right)}{2 \, a^{2}} - \frac{b \log\left({\left| b x^{2} - a \right|}\right)}{2 \, a^{2}} - \frac{b x^{2} + a}{2 \, a^{2} x^{2}}"," ",0,"1/2*b*log(x^2)/a^2 - 1/2*b*log(abs(b*x^2 - a))/a^2 - 1/2*(b*x^2 + a)/(a^2*x^2)","A",0
232,1,53,0,0.630000," ","integrate(x^3/(-b*x^2+a)^2,x, algorithm=""giac"")","-\frac{\frac{\log\left(\frac{{\left| b x^{2} - a \right|}}{{\left(b x^{2} - a\right)}^{2} {\left| b \right|}}\right)}{b} + \frac{a}{{\left(b x^{2} - a\right)} b}}{2 \, b}"," ",0,"-1/2*(log(abs(b*x^2 - a)/((b*x^2 - a)^2*abs(b)))/b + a/((b*x^2 - a)*b))/b","A",0
233,1,39,0,0.607584," ","integrate(x^2/(-b*x^2+a)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{2 \, \sqrt{-a b} b} - \frac{x}{2 \, {\left(b x^{2} - a\right)} b}"," ",0,"1/2*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*b) - 1/2*x/((b*x^2 - a)*b)","A",0
234,1,16,0,0.605258," ","integrate(x/(-b*x^2+a)^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(b x^{2} - a\right)} b}"," ",0,"-1/2/((b*x^2 - a)*b)","A",0
235,1,39,0,0.581664," ","integrate(1/(-b*x^2+a)^2,x, algorithm=""giac"")","-\frac{\arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{2 \, \sqrt{-a b} a} - \frac{x}{2 \, {\left(b x^{2} - a\right)} a}"," ",0,"-1/2*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a) - 1/2*x/((b*x^2 - a)*a)","A",0
236,1,51,0,0.625876," ","integrate(1/x/(-b*x^2+a)^2,x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a^{2}} - \frac{\log\left({\left| b x^{2} - a \right|}\right)}{2 \, a^{2}} + \frac{b x^{2} - 2 \, a}{2 \, {\left(b x^{2} - a\right)} a^{2}}"," ",0,"1/2*log(x^2)/a^2 - 1/2*log(abs(b*x^2 - a))/a^2 + 1/2*(b*x^2 - 2*a)/((b*x^2 - a)*a^2)","A",0
237,1,50,0,0.584936," ","integrate(1/x^2/(-b*x^2+a)^2,x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{2 \, \sqrt{-a b} a^{2}} - \frac{3 \, b x^{2} - 2 \, a}{2 \, {\left(b x^{3} - a x\right)} a^{2}}"," ",0,"-3/2*b*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a^2) - 1/2*(3*b*x^2 - 2*a)/((b*x^3 - a*x)*a^2)","A",0
238,1,56,0,0.599668," ","integrate(1/x^3/(-b*x^2+a)^2,x, algorithm=""giac"")","\frac{b \log\left(x^{2}\right)}{a^{3}} - \frac{b \log\left({\left| b x^{2} - a \right|}\right)}{a^{3}} - \frac{2 \, b x^{2} - a}{2 \, {\left(b x^{4} - a x^{2}\right)} a^{2}}"," ",0,"b*log(x^2)/a^3 - b*log(abs(b*x^2 - a))/a^3 - 1/2*(2*b*x^2 - a)/((b*x^4 - a*x^2)*a^2)","A",0
239,1,26,0,0.623347," ","integrate(x^3/(-b*x^2+a)^3,x, algorithm=""giac"")","\frac{2 \, b x^{2} - a}{4 \, {\left(b x^{2} - a\right)}^{2} b^{2}}"," ",0,"1/4*(2*b*x^2 - a)/((b*x^2 - a)^2*b^2)","A",0
240,1,53,0,0.634229," ","integrate(x^2/(-b*x^2+a)^3,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{8 \, \sqrt{-a b} a b} + \frac{b x^{3} + a x}{8 \, {\left(b x^{2} - a\right)}^{2} a b}"," ",0,"1/8*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a*b) + 1/8*(b*x^3 + a*x)/((b*x^2 - a)^2*a*b)","A",0
241,1,16,0,0.612686," ","integrate(x/(-b*x^2+a)^3,x, algorithm=""giac"")","\frac{1}{4 \, {\left(b x^{2} - a\right)}^{2} b}"," ",0,"1/4/((b*x^2 - a)^2*b)","A",0
242,1,49,0,0.619431," ","integrate(1/(-b*x^2+a)^3,x, algorithm=""giac"")","-\frac{3 \, \arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{8 \, \sqrt{-a b} a^{2}} - \frac{3 \, b x^{3} - 5 \, a x}{8 \, {\left(b x^{2} - a\right)}^{2} a^{2}}"," ",0,"-3/8*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a^2) - 1/8*(3*b*x^3 - 5*a*x)/((b*x^2 - a)^2*a^2)","A",0
243,1,63,0,0.625427," ","integrate(1/x/(-b*x^2+a)^3,x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a^{3}} - \frac{\log\left({\left| b x^{2} - a \right|}\right)}{2 \, a^{3}} + \frac{3 \, b^{2} x^{4} - 8 \, a b x^{2} + 6 \, a^{2}}{4 \, {\left(b x^{2} - a\right)}^{2} a^{3}}"," ",0,"1/2*log(x^2)/a^3 - 1/2*log(abs(b*x^2 - a))/a^3 + 1/4*(3*b^2*x^4 - 8*a*b*x^2 + 6*a^2)/((b*x^2 - a)^2*a^3)","A",0
244,1,61,0,0.629977," ","integrate(1/x^2/(-b*x^2+a)^3,x, algorithm=""giac"")","-\frac{15 \, b \arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{8 \, \sqrt{-a b} a^{3}} - \frac{7 \, b^{2} x^{3} - 9 \, a b x}{8 \, {\left(b x^{2} - a\right)}^{2} a^{3}} - \frac{1}{a^{3} x}"," ",0,"-15/8*b*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a^3) - 1/8*(7*b^2*x^3 - 9*a*b*x)/((b*x^2 - a)^2*a^3) - 1/(a^3*x)","A",0
245,1,84,0,0.631494," ","integrate(1/x^3/(-b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, b \log\left(x^{2}\right)}{2 \, a^{4}} - \frac{3 \, b \log\left({\left| b x^{2} - a \right|}\right)}{2 \, a^{4}} + \frac{9 \, b^{3} x^{4} - 22 \, a b^{2} x^{2} + 14 \, a^{2} b}{4 \, {\left(b x^{2} - a\right)}^{2} a^{4}} - \frac{3 \, b x^{2} + a}{2 \, a^{4} x^{2}}"," ",0,"3/2*b*log(x^2)/a^4 - 3/2*b*log(abs(b*x^2 - a))/a^4 + 1/4*(9*b^3*x^4 - 22*a*b^2*x^2 + 14*a^2*b)/((b*x^2 - a)^2*a^4) - 1/2*(3*b*x^2 + a)/(a^4*x^2)","A",0
246,1,39,0,0.592001," ","integrate(x^3/(-b*x^2+a)^5,x, algorithm=""giac"")","\frac{\frac{4}{{\left(b x^{2} - a\right)}^{3} b} + \frac{3 \, a}{{\left(b x^{2} - a\right)}^{4} b}}{24 \, b}"," ",0,"1/24*(4/((b*x^2 - a)^3*b) + 3*a/((b*x^2 - a)^4*b))/b","A",0
247,1,77,0,0.626258," ","integrate(x^2/(-b*x^2+a)^5,x, algorithm=""giac"")","\frac{5 \, \arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{128 \, \sqrt{-a b} a^{3} b} + \frac{15 \, b^{3} x^{7} - 55 \, a b^{2} x^{5} + 73 \, a^{2} b x^{3} + 15 \, a^{3} x}{384 \, {\left(b x^{2} - a\right)}^{4} a^{3} b}"," ",0,"5/128*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a^3*b) + 1/384*(15*b^3*x^7 - 55*a*b^2*x^5 + 73*a^2*b*x^3 + 15*a^3*x)/((b*x^2 - a)^4*a^3*b)","A",0
248,1,16,0,0.623052," ","integrate(x/(-b*x^2+a)^5,x, algorithm=""giac"")","\frac{1}{8 \, {\left(b x^{2} - a\right)}^{4} b}"," ",0,"1/8/((b*x^2 - a)^4*b)","A",0
249,1,71,0,0.620946," ","integrate(1/(-b*x^2+a)^5,x, algorithm=""giac"")","-\frac{35 \, \arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{128 \, \sqrt{-a b} a^{4}} - \frac{105 \, b^{3} x^{7} - 385 \, a b^{2} x^{5} + 511 \, a^{2} b x^{3} - 279 \, a^{3} x}{384 \, {\left(b x^{2} - a\right)}^{4} a^{4}}"," ",0,"-35/128*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a^4) - 1/384*(105*b^3*x^7 - 385*a*b^2*x^5 + 511*a^2*b*x^3 - 279*a^3*x)/((b*x^2 - a)^4*a^4)","A",0
250,1,85,0,0.606103," ","integrate(1/x/(-b*x^2+a)^5,x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a^{5}} - \frac{\log\left({\left| b x^{2} - a \right|}\right)}{2 \, a^{5}} + \frac{25 \, b^{4} x^{8} - 112 \, a b^{3} x^{6} + 192 \, a^{2} b^{2} x^{4} - 152 \, a^{3} b x^{2} + 50 \, a^{4}}{24 \, {\left(b x^{2} - a\right)}^{4} a^{5}}"," ",0,"1/2*log(x^2)/a^5 - 1/2*log(abs(b*x^2 - a))/a^5 + 1/24*(25*b^4*x^8 - 112*a*b^3*x^6 + 192*a^2*b^2*x^4 - 152*a^3*b*x^2 + 50*a^4)/((b*x^2 - a)^4*a^5)","A",0
251,1,83,0,0.630731," ","integrate(1/x^2/(-b*x^2+a)^5,x, algorithm=""giac"")","-\frac{315 \, b \arctan\left(\frac{b x}{\sqrt{-a b}}\right)}{128 \, \sqrt{-a b} a^{5}} - \frac{1}{a^{5} x} - \frac{187 \, b^{4} x^{7} - 643 \, a b^{3} x^{5} + 765 \, a^{2} b^{2} x^{3} - 325 \, a^{3} b x}{128 \, {\left(b x^{2} - a\right)}^{4} a^{5}}"," ",0,"-315/128*b*arctan(b*x/sqrt(-a*b))/(sqrt(-a*b)*a^5) - 1/(a^5*x) - 1/128*(187*b^4*x^7 - 643*a*b^3*x^5 + 765*a^2*b^2*x^3 - 325*a^3*b*x)/((b*x^2 - a)^4*a^5)","A",0
252,1,106,0,0.643045," ","integrate(1/x^3/(-b*x^2+a)^5,x, algorithm=""giac"")","\frac{5 \, b \log\left(x^{2}\right)}{2 \, a^{6}} - \frac{5 \, b \log\left({\left| b x^{2} - a \right|}\right)}{2 \, a^{6}} - \frac{5 \, b x^{2} + a}{2 \, a^{6} x^{2}} + \frac{125 \, b^{5} x^{8} - 548 \, a b^{4} x^{6} + 912 \, a^{2} b^{3} x^{4} - 688 \, a^{3} b^{2} x^{2} + 202 \, a^{4} b}{24 \, {\left(b x^{2} - a\right)}^{4} a^{6}}"," ",0,"5/2*b*log(x^2)/a^6 - 5/2*b*log(abs(b*x^2 - a))/a^6 - 1/2*(5*b*x^2 + a)/(a^6*x^2) + 1/24*(125*b^5*x^8 - 548*a*b^4*x^6 + 912*a^2*b^3*x^4 - 688*a^3*b^2*x^2 + 202*a^4*b)/((b*x^2 - a)^4*a^6)","A",0
253,1,18,0,0.622837," ","integrate(1/x/(b*x^2+1),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x^{2}\right) - \frac{1}{2} \, \log\left({\left| b x^{2} + 1 \right|}\right)"," ",0,"1/2*log(x^2) - 1/2*log(abs(b*x^2 + 1))","A",0
254,1,18,0,0.620350," ","integrate(1/x/(b*x^2-1),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(x^{2}\right) + \frac{1}{2} \, \log\left({\left| b x^{2} - 1 \right|}\right)"," ",0,"-1/2*log(x^2) + 1/2*log(abs(b*x^2 - 1))","A",0
255,1,32,0,0.625630," ","integrate(1/x^3/(b*x^2+1),x, algorithm=""giac"")","-\frac{1}{2} \, b \log\left(x^{2}\right) + \frac{1}{2} \, b \log\left({\left| b x^{2} + 1 \right|}\right) + \frac{b x^{2} - 1}{2 \, x^{2}}"," ",0,"-1/2*b*log(x^2) + 1/2*b*log(abs(b*x^2 + 1)) + 1/2*(b*x^2 - 1)/x^2","A",0
256,1,32,0,0.593080," ","integrate(1/x^3/(b*x^2-1),x, algorithm=""giac"")","-\frac{1}{2} \, b \log\left(x^{2}\right) + \frac{1}{2} \, b \log\left({\left| b x^{2} - 1 \right|}\right) + \frac{b x^{2} + 1}{2 \, x^{2}}"," ",0,"-1/2*b*log(x^2) + 1/2*b*log(abs(b*x^2 - 1)) + 1/2*(b*x^2 + 1)/x^2","A",0
257,1,23,0,0.580534," ","integrate(1/(a*x^2+a-1),x, algorithm=""giac"")","\frac{\arctan\left(\frac{a x}{\sqrt{a^{2} - a}}\right)}{\sqrt{a^{2} - a}}"," ",0,"arctan(a*x/sqrt(a^2 - a))/sqrt(a^2 - a)","A",0
258,1,33,0,0.586323," ","integrate(1/(-c-d+(c-d)*x^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{c x - d x}{\sqrt{-c^{2} + d^{2}}}\right)}{\sqrt{-c^{2} + d^{2}}}"," ",0,"arctan((c*x - d*x)/sqrt(-c^2 + d^2))/sqrt(-c^2 + d^2)","A",0
259,1,36,0,0.629322," ","integrate(1/x/(b*x^2+1)^2,x, algorithm=""giac"")","\frac{b x^{2} + 2}{2 \, {\left(b x^{2} + 1\right)}} + \frac{1}{2} \, \log\left(x^{2}\right) - \frac{1}{2} \, \log\left({\left| b x^{2} + 1 \right|}\right)"," ",0,"1/2*(b*x^2 + 2)/(b*x^2 + 1) + 1/2*log(x^2) - 1/2*log(abs(b*x^2 + 1))","A",0
260,1,36,0,0.634968," ","integrate(1/x/(b*x^2-1)^2,x, algorithm=""giac"")","\frac{b x^{2} - 2}{2 \, {\left(b x^{2} - 1\right)}} + \frac{1}{2} \, \log\left(x^{2}\right) - \frac{1}{2} \, \log\left({\left| b x^{2} - 1 \right|}\right)"," ",0,"1/2*(b*x^2 - 2)/(b*x^2 - 1) + 1/2*log(x^2) - 1/2*log(abs(b*x^2 - 1))","A",0
261,1,37,0,0.629897," ","integrate(1/(a+(-a*c+b)*x^2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{a c x - b x}{\sqrt{-a^{2} c + a b}}\right)}{\sqrt{-a^{2} c + a b}}"," ",0,"-arctan((a*c*x - b*x)/sqrt(-a^2*c + a*b))/sqrt(-a^2*c + a*b)","A",0
262,1,36,0,0.616590," ","integrate(1/(a-(-a*c+b)*x^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{a c x - b x}{\sqrt{a^{2} c - a b}}\right)}{\sqrt{a^{2} c - a b}}"," ",0,"arctan((a*c*x - b*x)/sqrt(a^2*c - a*b))/sqrt(a^2*c - a*b)","A",0
263,1,58,0,0.638927," ","integrate(1/(c*(a-d)-(b-c)*x^2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{b x - c x}{\sqrt{-a b c + a c^{2} + b c d - c^{2} d}}\right)}{\sqrt{-a b c + a c^{2} + b c d - c^{2} d}}"," ",0,"-arctan((b*x - c*x)/sqrt(-a*b*c + a*c^2 + b*c*d - c^2*d))/sqrt(-a*b*c + a*c^2 + b*c*d - c^2*d)","A",0
264,1,13,0,0.627913," ","integrate(x^(7/2)*(b*x^2+a),x, algorithm=""giac"")","\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
265,1,13,0,0.602553," ","integrate(x^(5/2)*(b*x^2+a),x, algorithm=""giac"")","\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
266,1,13,0,0.630880," ","integrate(x^(3/2)*(b*x^2+a),x, algorithm=""giac"")","\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
267,1,13,0,0.611753," ","integrate((b*x^2+a)*x^(1/2),x, algorithm=""giac"")","\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
268,1,13,0,0.628223," ","integrate((b*x^2+a)/x^(1/2),x, algorithm=""giac"")","\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
269,1,13,0,0.593231," ","integrate((b*x^2+a)/x^(3/2),x, algorithm=""giac"")","\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
270,1,13,0,0.597273," ","integrate((b*x^2+a)/x^(5/2),x, algorithm=""giac"")","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
271,1,13,0,0.586279," ","integrate((b*x^2+a)/x^(7/2),x, algorithm=""giac"")","-\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
272,1,24,0,0.621269," ","integrate(x^(7/2)*(b*x^2+a)^2,x, algorithm=""giac"")","\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
273,1,24,0,0.625131," ","integrate(x^(5/2)*(b*x^2+a)^2,x, algorithm=""giac"")","\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
274,1,24,0,0.629185," ","integrate(x^(3/2)*(b*x^2+a)^2,x, algorithm=""giac"")","\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
275,1,24,0,0.582149," ","integrate((b*x^2+a)^2*x^(1/2),x, algorithm=""giac"")","\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
276,1,24,0,0.627931," ","integrate((b*x^2+a)^2/x^(1/2),x, algorithm=""giac"")","\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
277,1,24,0,0.632058," ","integrate((b*x^2+a)^2/x^(3/2),x, algorithm=""giac"")","\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
278,1,24,0,0.635529," ","integrate((b*x^2+a)^2/x^(5/2),x, algorithm=""giac"")","\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
279,1,25,0,0.600601," ","integrate((b*x^2+a)^2/x^(7/2),x, algorithm=""giac"")","\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
280,1,35,0,0.607942," ","integrate(x^(7/2)*(b*x^2+a)^3,x, algorithm=""giac"")","\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
281,1,35,0,0.625617," ","integrate(x^(5/2)*(b*x^2+a)^3,x, algorithm=""giac"")","\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
282,1,35,0,0.626271," ","integrate(x^(3/2)*(b*x^2+a)^3,x, algorithm=""giac"")","\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
283,1,35,0,0.580213," ","integrate((b*x^2+a)^3*x^(1/2),x, algorithm=""giac"")","\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
284,1,35,0,0.586426," ","integrate((b*x^2+a)^3/x^(1/2),x, algorithm=""giac"")","\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
285,1,35,0,0.578468," ","integrate((b*x^2+a)^3/x^(3/2),x, algorithm=""giac"")","\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
286,1,35,0,0.578771," ","integrate((b*x^2+a)^3/x^(5/2),x, algorithm=""giac"")","\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
287,1,36,0,0.609550," ","integrate((b*x^2+a)^3/x^(7/2),x, algorithm=""giac"")","\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
288,1,196,0,0.623491," ","integrate(x^(7/2)/(b*x^2+a),x, algorithm=""giac"")","\frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, b^{3}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, b^{3}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} a \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, b^{3}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} a \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, b^{3}} + \frac{2 \, {\left(b^{4} x^{\frac{5}{2}} - 5 \, a b^{3} \sqrt{x}\right)}}{5 \, b^{5}}"," ",0,"1/2*sqrt(2)*(a*b^3)^(1/4)*a*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/b^3 + 1/2*sqrt(2)*(a*b^3)^(1/4)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/b^3 + 1/4*sqrt(2)*(a*b^3)^(1/4)*a*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^3 - 1/4*sqrt(2)*(a*b^3)^(1/4)*a*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^3 + 2/5*(b^4*x^(5/2) - 5*a*b^3*sqrt(x))/b^5","A",0
289,1,178,0,0.648332," ","integrate(x^(5/2)/(b*x^2+a),x, algorithm=""giac"")","\frac{2 \, x^{\frac{3}{2}}}{3 \, b} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, b^{4}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, b^{4}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, b^{4}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, b^{4}}"," ",0,"2/3*x^(3/2)/b - 1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/b^4 - 1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/b^4 + 1/4*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^4 - 1/4*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^4","A",0
290,1,178,0,0.648337," ","integrate(x^(3/2)/(b*x^2+a),x, algorithm=""giac"")","-\frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, b^{2}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, b^{2}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, b^{2}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, b^{2}} + \frac{2 \, \sqrt{x}}{b}"," ",0,"-1/2*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/b^2 - 1/2*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/b^2 - 1/4*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^2 + 1/4*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^2 + 2*sqrt(x)/b","A",0
291,1,182,0,0.600835," ","integrate(x^(1/2)/(b*x^2+a),x, algorithm=""giac"")","\frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a b^{3}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a b^{3}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a b^{3}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a b^{3}}"," ",0,"1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a*b^3) + 1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a*b^3) - 1/4*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^3) + 1/4*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^3)","A",0
292,1,182,0,0.630579," ","integrate(1/(b*x^2+a)/x^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a b} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a b} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a b} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a b}"," ",0,"1/2*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a*b) + 1/2*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a*b) + 1/4*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b) - 1/4*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b)","A",0
293,1,190,0,0.623990," ","integrate(1/x^(3/2)/(b*x^2+a),x, algorithm=""giac"")","-\frac{2}{a \sqrt{x}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a^{2} b^{2}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a^{2} b^{2}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a^{2} b^{2}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a^{2} b^{2}}"," ",0,"-2/(a*sqrt(x)) - 1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^2) - 1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^2) + 1/4*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^2) - 1/4*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^2)","A",0
294,1,178,0,0.643440," ","integrate(1/x^(5/2)/(b*x^2+a),x, algorithm=""giac"")","-\frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a^{2}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a^{2}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a^{2}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a^{2}} - \frac{2}{3 \, a x^{\frac{3}{2}}}"," ",0,"-1/2*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/a^2 - 1/2*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/a^2 - 1/4*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/a^2 + 1/4*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/a^2 - 2/3/(a*x^(3/2))","A",0
295,1,200,0,0.620888," ","integrate(1/x^(7/2)/(b*x^2+a),x, algorithm=""giac"")","\frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a^{3} b} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a^{3} b} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a^{3} b} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{4 \, a^{3} b} + \frac{2 \, {\left(5 \, b x^{2} - a\right)}}{5 \, a^{2} x^{\frac{5}{2}}}"," ",0,"1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^3*b) + 1/2*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^3*b) - 1/4*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b) + 1/4*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b) + 2/5*(5*b*x^2 - a)/(a^2*x^(5/2))","A",0
296,1,196,0,0.653160," ","integrate(x^(7/2)/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, b^{3}} - \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, b^{3}} - \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, b^{3}} + \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, b^{3}} + \frac{a \sqrt{x}}{2 \, {\left(b x^{2} + a\right)} b^{2}} + \frac{2 \, \sqrt{x}}{b^{2}}"," ",0,"-5/8*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/b^3 - 5/8*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/b^3 - 5/16*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^3 + 5/16*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/b^3 + 1/2*a*sqrt(x)/((b*x^2 + a)*b^2) + 2*sqrt(x)/b^2","A",0
297,1,199,0,0.617249," ","integrate(x^(5/2)/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{x^{\frac{3}{2}}}{2 \, {\left(b x^{2} + a\right)} b} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a b^{4}} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a b^{4}} - \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a b^{4}} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a b^{4}}"," ",0,"-1/2*x^(3/2)/((b*x^2 + a)*b) + 3/8*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a*b^4) + 3/8*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a*b^4) - 3/16*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^4) + 3/16*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^4)","A",0
298,1,199,0,0.646811," ","integrate(x^(3/2)/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a b^{2}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a b^{2}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a b^{2}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a b^{2}} - \frac{\sqrt{x}}{2 \, {\left(b x^{2} + a\right)} b}"," ",0,"1/8*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a*b^2) + 1/8*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a*b^2) + 1/16*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^2) - 1/16*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^2) - 1/2*sqrt(x)/((b*x^2 + a)*b)","A",0
299,1,199,0,0.616017," ","integrate(x^(1/2)/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{x^{\frac{3}{2}}}{2 \, {\left(b x^{2} + a\right)} a} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{2} b^{3}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{2} b^{3}} - \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{2} b^{3}} + \frac{\sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{2} b^{3}}"," ",0,"1/2*x^(3/2)/((b*x^2 + a)*a) + 1/8*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^3) + 1/8*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^3) - 1/16*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^3) + 1/16*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^3)","A",0
300,1,199,0,0.650610," ","integrate(1/(b*x^2+a)^2/x^(1/2),x, algorithm=""giac"")","\frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{2} b} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{2} b} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{2} b} - \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{2} b} + \frac{\sqrt{x}}{2 \, {\left(b x^{2} + a\right)} a}"," ",0,"3/8*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^2*b) + 3/8*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^2*b) + 3/16*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b) - 3/16*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b) + 1/2*sqrt(x)/((b*x^2 + a)*a)","A",0
301,1,210,0,0.618056," ","integrate(1/x^(3/2)/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{5 \, b x^{2} + 4 \, a}{2 \, {\left(b x^{\frac{5}{2}} + a \sqrt{x}\right)} a^{2}} - \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{3} b^{2}} - \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{3} b^{2}} + \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{3} b^{2}} - \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{3} b^{2}}"," ",0,"-1/2*(5*b*x^2 + 4*a)/((b*x^(5/2) + a*sqrt(x))*a^2) - 5/8*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^3*b^2) - 5/8*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^3*b^2) + 5/16*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b^2) - 5/16*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b^2)","A",0
302,1,196,0,0.642096," ","integrate(1/x^(5/2)/(b*x^2+a)^2,x, algorithm=""giac"")","-\frac{7 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{3}} - \frac{7 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{3}} - \frac{7 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{3}} + \frac{7 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{3}} - \frac{b \sqrt{x}}{2 \, {\left(b x^{2} + a\right)} a^{2}} - \frac{2}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"-7/8*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/a^3 - 7/8*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/a^3 - 7/16*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/a^3 + 7/16*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/a^3 - 1/2*b*sqrt(x)/((b*x^2 + a)*a^2) - 2/3/(a^2*x^(3/2))","A",0
303,1,220,0,0.658083," ","integrate(1/x^(7/2)/(b*x^2+a)^2,x, algorithm=""giac"")","\frac{b^{2} x^{\frac{3}{2}}}{2 \, {\left(b x^{2} + a\right)} a^{3}} + \frac{9 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{4} b} + \frac{9 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{8 \, a^{4} b} - \frac{9 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{4} b} + \frac{9 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{16 \, a^{4} b} + \frac{2 \, {\left(10 \, b x^{2} - a\right)}}{5 \, a^{3} x^{\frac{5}{2}}}"," ",0,"1/2*b^2*x^(3/2)/((b*x^2 + a)*a^3) + 9/8*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^4*b) + 9/8*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^4*b) - 9/16*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^4*b) + 9/16*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^4*b) + 2/5*(10*b*x^2 - a)/(a^3*x^(5/2))","A",0
304,1,209,0,0.653596," ","integrate(x^(7/2)/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a b^{3}} + \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a b^{3}} + \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a b^{3}} - \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a b^{3}} - \frac{9 \, b x^{\frac{5}{2}} + 5 \, a \sqrt{x}}{16 \, {\left(b x^{2} + a\right)}^{2} b^{2}}"," ",0,"5/64*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a*b^3) + 5/64*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a*b^3) + 5/128*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^3) - 5/128*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a*b^3) - 1/16*(9*b*x^(5/2) + 5*a*sqrt(x))/((b*x^2 + a)^2*b^2)","A",0
305,1,212,0,0.658502," ","integrate(x^(5/2)/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, b x^{\frac{7}{2}} - a x^{\frac{3}{2}}}{16 \, {\left(b x^{2} + a\right)}^{2} a b} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{2} b^{4}} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{2} b^{4}} - \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{2} b^{4}} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{2} b^{4}}"," ",0,"1/16*(3*b*x^(7/2) - a*x^(3/2))/((b*x^2 + a)^2*a*b) + 3/64*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^4) + 3/64*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^4) - 3/128*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^4) + 3/128*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^4)","A",0
306,1,211,0,0.657562," ","integrate(x^(3/2)/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{2} b^{2}} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{2} b^{2}} + \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{2} b^{2}} - \frac{3 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{2} b^{2}} + \frac{b x^{\frac{5}{2}} - 3 \, a \sqrt{x}}{16 \, {\left(b x^{2} + a\right)}^{2} a b}"," ",0,"3/64*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^2) + 3/64*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^2*b^2) + 3/128*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^2) - 3/128*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^2*b^2) + 1/16*(b*x^(5/2) - 3*a*sqrt(x))/((b*x^2 + a)^2*a*b)","A",0
307,1,209,0,0.647431," ","integrate(x^(1/2)/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{5 \, b x^{\frac{7}{2}} + 9 \, a x^{\frac{3}{2}}}{16 \, {\left(b x^{2} + a\right)}^{2} a^{2}} + \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{3} b^{3}} + \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{3} b^{3}} - \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{3} b^{3}} + \frac{5 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{3} b^{3}}"," ",0,"1/16*(5*b*x^(7/2) + 9*a*x^(3/2))/((b*x^2 + a)^2*a^2) + 5/64*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^3*b^3) + 5/64*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^3*b^3) - 5/128*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b^3) + 5/128*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b^3)","A",0
308,1,209,0,0.650817," ","integrate(1/(b*x^2+a)^3/x^(1/2),x, algorithm=""giac"")","\frac{21 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{3} b} + \frac{21 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{3} b} + \frac{21 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{3} b} - \frac{21 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{3} b} + \frac{7 \, b x^{\frac{5}{2}} + 11 \, a \sqrt{x}}{16 \, {\left(b x^{2} + a\right)}^{2} a^{2}}"," ",0,"21/64*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^3*b) + 21/64*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^3*b) + 21/128*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b) - 21/128*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^3*b) + 1/16*(7*b*x^(5/2) + 11*a*sqrt(x))/((b*x^2 + a)^2*a^2)","A",0
309,1,220,0,0.651683," ","integrate(1/x^(3/2)/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{2}{a^{3} \sqrt{x}} - \frac{45 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{4} b^{2}} - \frac{45 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{4} b^{2}} + \frac{45 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{4} b^{2}} - \frac{45 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{4} b^{2}} - \frac{13 \, b^{2} x^{\frac{7}{2}} + 17 \, a b x^{\frac{3}{2}}}{16 \, {\left(b x^{2} + a\right)}^{2} a^{3}}"," ",0,"-2/(a^3*sqrt(x)) - 45/64*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^4*b^2) - 45/64*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^4*b^2) + 45/128*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^4*b^2) - 45/128*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^4*b^2) - 1/16*(13*b^2*x^(7/2) + 17*a*b*x^(3/2))/((b*x^2 + a)^2*a^3)","A",0
310,1,208,0,0.652574," ","integrate(1/x^(5/2)/(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{77 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{4}} - \frac{77 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{4}} - \frac{77 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{4}} + \frac{77 \, \sqrt{2} \left(a b^{3}\right)^{\frac{1}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{4}} - \frac{15 \, b^{2} x^{\frac{5}{2}} + 19 \, a b \sqrt{x}}{16 \, {\left(b x^{2} + a\right)}^{2} a^{3}} - \frac{2}{3 \, a^{3} x^{\frac{3}{2}}}"," ",0,"-77/64*sqrt(2)*(a*b^3)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/a^4 - 77/64*sqrt(2)*(a*b^3)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/a^4 - 77/128*sqrt(2)*(a*b^3)^(1/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/a^4 + 77/128*sqrt(2)*(a*b^3)^(1/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/a^4 - 1/16*(15*b^2*x^(5/2) + 19*a*b*sqrt(x))/((b*x^2 + a)^2*a^3) - 2/3/(a^3*x^(3/2))","A",0
311,1,232,0,0.626163," ","integrate(1/x^(7/2)/(b*x^2+a)^3,x, algorithm=""giac"")","\frac{117 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{5} b} + \frac{117 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{64 \, a^{5} b} - \frac{117 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{5} b} + \frac{117 \, \sqrt{2} \left(a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{\frac{a}{b}}\right)}{128 \, a^{5} b} + \frac{21 \, b^{3} x^{\frac{7}{2}} + 25 \, a b^{2} x^{\frac{3}{2}}}{16 \, {\left(b x^{2} + a\right)}^{2} a^{4}} + \frac{2 \, {\left(15 \, b x^{2} - a\right)}}{5 \, a^{4} x^{\frac{5}{2}}}"," ",0,"117/64*sqrt(2)*(a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*sqrt(x))/(a/b)^(1/4))/(a^5*b) + 117/64*sqrt(2)*(a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*sqrt(x))/(a/b)^(1/4))/(a^5*b) - 117/128*sqrt(2)*(a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^5*b) + 117/128*sqrt(2)*(a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(a/b)^(1/4) + x + sqrt(a/b))/(a^5*b) + 1/16*(21*b^3*x^(7/2) + 25*a*b^2*x^(3/2))/((b*x^2 + a)^2*a^4) + 2/5*(15*b*x^2 - a)/(a^4*x^(5/2))","A",0
312,1,194,0,0.634210," ","integrate(x^(1/2)/(-b*x^2+a),x, algorithm=""giac"")","\frac{\sqrt{2} \left(-a b^{3}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(-\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a b^{3}} + \frac{\sqrt{2} \left(-a b^{3}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(-\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \, a b^{3}} - \frac{\sqrt{2} \left(-a b^{3}\right)^{\frac{3}{4}} \log\left(\sqrt{2} \sqrt{x} \left(-\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{-\frac{a}{b}}\right)}{4 \, a b^{3}} + \frac{\sqrt{2} \left(-a b^{3}\right)^{\frac{3}{4}} \log\left(-\sqrt{2} \sqrt{x} \left(-\frac{a}{b}\right)^{\frac{1}{4}} + x + \sqrt{-\frac{a}{b}}\right)}{4 \, a b^{3}}"," ",0,"1/2*sqrt(2)*(-a*b^3)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(-a/b)^(1/4) + 2*sqrt(x))/(-a/b)^(1/4))/(a*b^3) + 1/2*sqrt(2)*(-a*b^3)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(-a/b)^(1/4) - 2*sqrt(x))/(-a/b)^(1/4))/(a*b^3) - 1/4*sqrt(2)*(-a*b^3)^(3/4)*log(sqrt(2)*sqrt(x)*(-a/b)^(1/4) + x + sqrt(-a/b))/(a*b^3) + 1/4*sqrt(2)*(-a*b^3)^(3/4)*log(-sqrt(2)*sqrt(x)*(-a/b)^(1/4) + x + sqrt(-a/b))/(a*b^3)","B",0
313,1,84,0,0.634949," ","integrate(x^(7/2)/(x^2+1),x, algorithm=""giac"")","\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
314,1,79,0,0.631021," ","integrate(x^(5/2)/(x^2+1),x, algorithm=""giac"")","\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
315,1,79,0,0.602996," ","integrate(x^(3/2)/(x^2+1),x, algorithm=""giac"")","-\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
316,1,74,0,0.631211," ","integrate(x^(1/2)/(x^2+1),x, algorithm=""giac"")","\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
317,1,74,0,0.593524," ","integrate(1/(x^2+1)/x^(1/2),x, algorithm=""giac"")","\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
318,1,79,0,0.634237," ","integrate(1/x^(3/2)/(x^2+1),x, algorithm=""giac"")","-\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
319,1,79,0,0.627808," ","integrate(1/x^(5/2)/(x^2+1),x, algorithm=""giac"")","-\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
320,1,86,0,0.625728," ","integrate(1/x^(7/2)/(x^2+1),x, algorithm=""giac"")","\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
321,1,91,0,0.621950," ","integrate(x^(7/2)/(x^2+1)^2,x, algorithm=""giac"")","-\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
322,1,86,0,0.601665," ","integrate(x^(5/2)/(x^2+1)^2,x, algorithm=""giac"")","\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
323,1,86,0,0.628819," ","integrate(x^(3/2)/(x^2+1)^2,x, algorithm=""giac"")","\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
324,1,86,0,0.631105," ","integrate(x^(1/2)/(x^2+1)^2,x, algorithm=""giac"")","\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
325,1,86,0,0.604456," ","integrate(1/(x^2+1)^2/x^(1/2),x, algorithm=""giac"")","\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
326,1,92,0,0.635498," ","integrate(1/x^(3/2)/(x^2+1)^2,x, algorithm=""giac"")","-\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
327,1,91,0,0.633799," ","integrate(1/x^(5/2)/(x^2+1)^2,x, algorithm=""giac"")","-\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{\sqrt{x}}{2 \, {\left(x^{2} + 1\right)}} - \frac{2}{3 \, x^{\frac{3}{2}}}"," ",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) - 1/2*sqrt(x)/(x^2 + 1) - 2/3/x^(3/2)","A",0
328,1,98,0,0.638530," ","integrate(1/x^(7/2)/(x^2+1)^2,x, algorithm=""giac"")","\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{x^{\frac{3}{2}}}{2 \, {\left(x^{2} + 1\right)}} + \frac{2 \, {\left(10 \, x^{2} - 1\right)}}{5 \, x^{\frac{5}{2}}}"," ",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) + 1/2*x^(3/2)/(x^2 + 1) + 2/5*(10*x^2 - 1)/x^(5/2)","A",0
329,1,94,0,0.685225," ","integrate(x^(7/2)/(x^2+1)^3,x, algorithm=""giac"")","\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^{2} + 1\right)}^{2}}"," ",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^2 + 1)^2","A",0
330,1,94,0,0.647370," ","integrate(x^(5/2)/(x^2+1)^3,x, algorithm=""giac"")","\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^{2} + 1\right)}^{2}}"," ",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^2 + 1)^2","A",0
331,1,92,0,0.639586," ","integrate(x^(3/2)/(x^2+1)^3,x, algorithm=""giac"")","\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^{2} + 1\right)}^{2}}"," ",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^2 + 1)^2","A",0
332,1,94,0,0.588621," ","integrate(x^(1/2)/(x^2+1)^3,x, algorithm=""giac"")","\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^{2} + 1\right)}^{2}}"," ",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^2 + 1)^2","A",0
333,1,94,0,0.610341," ","integrate(1/(x^2+1)^3/x^(1/2),x, algorithm=""giac"")","\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^{2} + 1\right)}^{2}}"," ",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^2 + 1)^2","A",0
334,1,99,0,0.628026," ","integrate(1/x^(3/2)/(x^2+1)^3,x, algorithm=""giac"")","-\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{2}{\sqrt{x}} - \frac{13 \, x^{\frac{7}{2}} + 17 \, x^{\frac{3}{2}}}{16 \, {\left(x^{2} + 1\right)}^{2}}"," ",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) - 2/sqrt(x) - 1/16*(13*x^(7/2) + 17*x^(3/2))/(x^2 + 1)^2","A",0
335,1,99,0,0.624529," ","integrate(1/x^(5/2)/(x^2+1)^3,x, algorithm=""giac"")","-\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{15 \, x^{\frac{5}{2}} + 19 \, \sqrt{x}}{16 \, {\left(x^{2} + 1\right)}^{2}} - \frac{2}{3 \, x^{\frac{3}{2}}}"," ",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) - 1/16*(15*x^(5/2) + 19*sqrt(x))/(x^2 + 1)^2 - 2/3/x^(3/2)","A",0
336,1,106,0,0.637672," ","integrate(1/x^(7/2)/(x^2+1)^3,x, algorithm=""giac"")","\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{21 \, x^{\frac{7}{2}} + 25 \, x^{\frac{3}{2}}}{16 \, {\left(x^{2} + 1\right)}^{2}} + \frac{2 \, {\left(15 \, x^{2} - 1\right)}}{5 \, x^{\frac{5}{2}}}"," ",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) + 1/16*(21*x^(7/2) + 25*x^(3/2))/(x^2 + 1)^2 + 2/5*(15*x^2 - 1)/x^(5/2)","A",0
337,1,24,0,0.623750," ","integrate(x^(1/2)/(-x^2+1),x, algorithm=""giac"")","-\arctan\left(\sqrt{x}\right) + \frac{1}{2} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \log\left({\left| \sqrt{x} - 1 \right|}\right)"," ",0,"-arctan(sqrt(x)) + 1/2*log(sqrt(x) + 1) - 1/2*log(abs(sqrt(x) - 1))","B",0
338,1,68,0,0.630171," ","integrate(x^(2/3)/(x^2+1),x, algorithm=""giac"")","-\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
339,1,540,0,0.689600," ","integrate(x^m*(b*x^2+a)^5,x, algorithm=""giac"")","\frac{b^{5} m^{5} x^{11} x^{m} + 25 \, b^{5} m^{4} x^{11} x^{m} + 5 \, a b^{4} m^{5} x^{9} x^{m} + 230 \, b^{5} m^{3} x^{11} x^{m} + 135 \, a b^{4} m^{4} x^{9} x^{m} + 950 \, b^{5} m^{2} x^{11} x^{m} + 10 \, a^{2} b^{3} m^{5} x^{7} x^{m} + 1310 \, a b^{4} m^{3} x^{9} x^{m} + 1689 \, b^{5} m x^{11} x^{m} + 290 \, a^{2} b^{3} m^{4} x^{7} x^{m} + 5610 \, a b^{4} m^{2} x^{9} x^{m} + 945 \, b^{5} x^{11} x^{m} + 10 \, a^{3} b^{2} m^{5} x^{5} x^{m} + 3020 \, a^{2} b^{3} m^{3} x^{7} x^{m} + 10205 \, a b^{4} m x^{9} x^{m} + 310 \, a^{3} b^{2} m^{4} x^{5} x^{m} + 13660 \, a^{2} b^{3} m^{2} x^{7} x^{m} + 5775 \, a b^{4} x^{9} x^{m} + 5 \, a^{4} b m^{5} x^{3} x^{m} + 3500 \, a^{3} b^{2} m^{3} x^{5} x^{m} + 25770 \, a^{2} b^{3} m x^{7} x^{m} + 165 \, a^{4} b m^{4} x^{3} x^{m} + 17300 \, a^{3} b^{2} m^{2} x^{5} x^{m} + 14850 \, a^{2} b^{3} x^{7} x^{m} + a^{5} m^{5} x x^{m} + 2030 \, a^{4} b m^{3} x^{3} x^{m} + 34890 \, a^{3} b^{2} m x^{5} x^{m} + 35 \, a^{5} m^{4} x x^{m} + 11310 \, a^{4} b m^{2} x^{3} x^{m} + 20790 \, a^{3} b^{2} x^{5} x^{m} + 470 \, a^{5} m^{3} x x^{m} + 26765 \, a^{4} b m x^{3} x^{m} + 3010 \, a^{5} m^{2} x x^{m} + 17325 \, a^{4} b x^{3} x^{m} + 9129 \, a^{5} m x x^{m} + 10395 \, a^{5} x x^{m}}{m^{6} + 36 \, m^{5} + 505 \, m^{4} + 3480 \, m^{3} + 12139 \, m^{2} + 19524 \, m + 10395}"," ",0,"(b^5*m^5*x^11*x^m + 25*b^5*m^4*x^11*x^m + 5*a*b^4*m^5*x^9*x^m + 230*b^5*m^3*x^11*x^m + 135*a*b^4*m^4*x^9*x^m + 950*b^5*m^2*x^11*x^m + 10*a^2*b^3*m^5*x^7*x^m + 1310*a*b^4*m^3*x^9*x^m + 1689*b^5*m*x^11*x^m + 290*a^2*b^3*m^4*x^7*x^m + 5610*a*b^4*m^2*x^9*x^m + 945*b^5*x^11*x^m + 10*a^3*b^2*m^5*x^5*x^m + 3020*a^2*b^3*m^3*x^7*x^m + 10205*a*b^4*m*x^9*x^m + 310*a^3*b^2*m^4*x^5*x^m + 13660*a^2*b^3*m^2*x^7*x^m + 5775*a*b^4*x^9*x^m + 5*a^4*b*m^5*x^3*x^m + 3500*a^3*b^2*m^3*x^5*x^m + 25770*a^2*b^3*m*x^7*x^m + 165*a^4*b*m^4*x^3*x^m + 17300*a^3*b^2*m^2*x^5*x^m + 14850*a^2*b^3*x^7*x^m + a^5*m^5*x*x^m + 2030*a^4*b*m^3*x^3*x^m + 34890*a^3*b^2*m*x^5*x^m + 35*a^5*m^4*x*x^m + 11310*a^4*b*m^2*x^3*x^m + 20790*a^3*b^2*x^5*x^m + 470*a^5*m^3*x*x^m + 26765*a^4*b*m*x^3*x^m + 3010*a^5*m^2*x*x^m + 17325*a^4*b*x^3*x^m + 9129*a^5*m*x*x^m + 10395*a^5*x*x^m)/(m^6 + 36*m^5 + 505*m^4 + 3480*m^3 + 12139*m^2 + 19524*m + 10395)","B",0
340,1,365,0,0.609696," ","integrate(x^m*(b*x^2+a)^4,x, algorithm=""giac"")","\frac{b^{4} m^{4} x^{9} x^{m} + 16 \, b^{4} m^{3} x^{9} x^{m} + 4 \, a b^{3} m^{4} x^{7} x^{m} + 86 \, b^{4} m^{2} x^{9} x^{m} + 72 \, a b^{3} m^{3} x^{7} x^{m} + 176 \, b^{4} m x^{9} x^{m} + 6 \, a^{2} b^{2} m^{4} x^{5} x^{m} + 416 \, a b^{3} m^{2} x^{7} x^{m} + 105 \, b^{4} x^{9} x^{m} + 120 \, a^{2} b^{2} m^{3} x^{5} x^{m} + 888 \, a b^{3} m x^{7} x^{m} + 4 \, a^{3} b m^{4} x^{3} x^{m} + 780 \, a^{2} b^{2} m^{2} x^{5} x^{m} + 540 \, a b^{3} x^{7} x^{m} + 88 \, a^{3} b m^{3} x^{3} x^{m} + 1800 \, a^{2} b^{2} m x^{5} x^{m} + a^{4} m^{4} x x^{m} + 656 \, a^{3} b m^{2} x^{3} x^{m} + 1134 \, a^{2} b^{2} x^{5} x^{m} + 24 \, a^{4} m^{3} x x^{m} + 1832 \, a^{3} b m x^{3} x^{m} + 206 \, a^{4} m^{2} x x^{m} + 1260 \, a^{3} b x^{3} x^{m} + 744 \, a^{4} m x x^{m} + 945 \, a^{4} x x^{m}}{m^{5} + 25 \, m^{4} + 230 \, m^{3} + 950 \, m^{2} + 1689 \, m + 945}"," ",0,"(b^4*m^4*x^9*x^m + 16*b^4*m^3*x^9*x^m + 4*a*b^3*m^4*x^7*x^m + 86*b^4*m^2*x^9*x^m + 72*a*b^3*m^3*x^7*x^m + 176*b^4*m*x^9*x^m + 6*a^2*b^2*m^4*x^5*x^m + 416*a*b^3*m^2*x^7*x^m + 105*b^4*x^9*x^m + 120*a^2*b^2*m^3*x^5*x^m + 888*a*b^3*m*x^7*x^m + 4*a^3*b*m^4*x^3*x^m + 780*a^2*b^2*m^2*x^5*x^m + 540*a*b^3*x^7*x^m + 88*a^3*b*m^3*x^3*x^m + 1800*a^2*b^2*m*x^5*x^m + a^4*m^4*x*x^m + 656*a^3*b*m^2*x^3*x^m + 1134*a^2*b^2*x^5*x^m + 24*a^4*m^3*x*x^m + 1832*a^3*b*m*x^3*x^m + 206*a^4*m^2*x*x^m + 1260*a^3*b*x^3*x^m + 744*a^4*m*x*x^m + 945*a^4*x*x^m)/(m^5 + 25*m^4 + 230*m^3 + 950*m^2 + 1689*m + 945)","B",0
341,1,224,0,0.658312," ","integrate(x^m*(b*x^2+a)^3,x, algorithm=""giac"")","\frac{b^{3} m^{3} x^{7} x^{m} + 9 \, b^{3} m^{2} x^{7} x^{m} + 3 \, a b^{2} m^{3} x^{5} x^{m} + 23 \, b^{3} m x^{7} x^{m} + 33 \, a b^{2} m^{2} x^{5} x^{m} + 15 \, b^{3} x^{7} x^{m} + 3 \, a^{2} b m^{3} x^{3} x^{m} + 93 \, a b^{2} m x^{5} x^{m} + 39 \, a^{2} b m^{2} x^{3} x^{m} + 63 \, a b^{2} x^{5} x^{m} + a^{3} m^{3} x x^{m} + 141 \, a^{2} b m x^{3} x^{m} + 15 \, a^{3} m^{2} x x^{m} + 105 \, a^{2} b x^{3} x^{m} + 71 \, a^{3} m x x^{m} + 105 \, a^{3} x x^{m}}{m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105}"," ",0,"(b^3*m^3*x^7*x^m + 9*b^3*m^2*x^7*x^m + 3*a*b^2*m^3*x^5*x^m + 23*b^3*m*x^7*x^m + 33*a*b^2*m^2*x^5*x^m + 15*b^3*x^7*x^m + 3*a^2*b*m^3*x^3*x^m + 93*a*b^2*m*x^5*x^m + 39*a^2*b*m^2*x^3*x^m + 63*a*b^2*x^5*x^m + a^3*m^3*x*x^m + 141*a^2*b*m*x^3*x^m + 15*a^3*m^2*x*x^m + 105*a^2*b*x^3*x^m + 71*a^3*m*x*x^m + 105*a^3*x*x^m)/(m^4 + 16*m^3 + 86*m^2 + 176*m + 105)","B",0
342,1,117,0,0.653515," ","integrate(x^m*(b*x^2+a)^2,x, algorithm=""giac"")","\frac{b^{2} m^{2} x^{5} x^{m} + 4 \, b^{2} m x^{5} x^{m} + 2 \, a b m^{2} x^{3} x^{m} + 3 \, b^{2} x^{5} x^{m} + 12 \, a b m x^{3} x^{m} + a^{2} m^{2} x x^{m} + 10 \, a b x^{3} x^{m} + 8 \, a^{2} m x x^{m} + 15 \, a^{2} x x^{m}}{m^{3} + 9 \, m^{2} + 23 \, m + 15}"," ",0,"(b^2*m^2*x^5*x^m + 4*b^2*m*x^5*x^m + 2*a*b*m^2*x^3*x^m + 3*b^2*x^5*x^m + 12*a*b*m*x^3*x^m + a^2*m^2*x*x^m + 10*a*b*x^3*x^m + 8*a^2*m*x*x^m + 15*a^2*x*x^m)/(m^3 + 9*m^2 + 23*m + 15)","B",0
343,1,43,0,0.689364," ","integrate(x^m*(b*x^2+a),x, algorithm=""giac"")","\frac{b m x^{3} x^{m} + b x^{3} x^{m} + a m x x^{m} + 3 \, a x x^{m}}{m^{2} + 4 \, m + 3}"," ",0,"(b*m*x^3*x^m + b*x^3*x^m + a*m*x*x^m + 3*a*x*x^m)/(m^2 + 4*m + 3)","A",0
344,0,0,0,0.000000," ","integrate(x^m/(b*x^2+a),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
353,1,57,0,0.604589," ","integrate(x^7*(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{35 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} - 135 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a + 189 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} - 105 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3}}{315 \, b^{4}}"," ",0,"1/315*(35*(b*x^2 + a)^(9/2) - 135*(b*x^2 + a)^(7/2)*a + 189*(b*x^2 + a)^(5/2)*a^2 - 105*(b*x^2 + a)^(3/2)*a^3)/b^4","A",0
354,1,43,0,0.592473," ","integrate(x^5*(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{15 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} - 42 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2}}{105 \, b^{3}}"," ",0,"1/105*(15*(b*x^2 + a)^(7/2) - 42*(b*x^2 + a)^(5/2)*a + 35*(b*x^2 + a)^(3/2)*a^2)/b^3","A",0
355,1,29,0,0.595332," ","integrate(x^3*(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} - 5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a}{15 \, b^{2}}"," ",0,"1/15*(3*(b*x^2 + a)^(5/2) - 5*(b*x^2 + a)^(3/2)*a)/b^2","A",0
356,1,14,0,0.604104," ","integrate(x*(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"1/3*(b*x^2 + a)^(3/2)/b","A",0
357,1,33,0,0.591810," ","integrate((b*x^2+a)^(1/2)/x,x, algorithm=""giac"")","\frac{a \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \sqrt{b x^{2} + a}"," ",0,"a*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + sqrt(b*x^2 + a)","A",0
358,1,46,0,0.610812," ","integrate((b*x^2+a)^(1/2)/x^3,x, algorithm=""giac"")","\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{\sqrt{b x^{2} + a} b}{x^{2}}}{2 \, b}"," ",0,"1/2*(b^2*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) - sqrt(b*x^2 + a)*b/x^2)/b","A",0
359,1,72,0,0.595658," ","integrate((b*x^2+a)^(1/2)/x^5,x, algorithm=""giac"")","-\frac{\frac{b^{3} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3} + \sqrt{b x^{2} + a} a b^{3}}{a b^{2} x^{4}}}{8 \, b}"," ",0,"-1/8*(b^3*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a) + ((b*x^2 + a)^(3/2)*b^3 + sqrt(b*x^2 + a)*a*b^3)/(a*b^2*x^4))/b","A",0
360,1,92,0,0.676996," ","integrate((b*x^2+a)^(1/2)/x^7,x, algorithm=""giac"")","\frac{\frac{3 \, b^{4} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4} - 8 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{4} - 3 \, \sqrt{b x^{2} + a} a^{2} b^{4}}{a^{2} b^{3} x^{6}}}{48 \, b}"," ",0,"1/48*(3*b^4*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^2) + (3*(b*x^2 + a)^(5/2)*b^4 - 8*(b*x^2 + a)^(3/2)*a*b^4 - 3*sqrt(b*x^2 + a)*a^2*b^4)/(a^2*b^3*x^6))/b","A",0
361,1,64,0,0.691356," ","integrate(x^4*(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{1}{48} \, {\left(2 \, {\left(4 \, x^{2} + \frac{a}{b}\right)} x^{2} - \frac{3 \, a^{2}}{b^{2}}\right)} \sqrt{b x^{2} + a} x - \frac{a^{3} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{16 \, b^{\frac{5}{2}}}"," ",0,"1/48*(2*(4*x^2 + a/b)*x^2 - 3*a^2/b^2)*sqrt(b*x^2 + a)*x - 1/16*a^3*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(5/2)","A",0
362,1,50,0,0.714766," ","integrate(x^2*(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{b x^{2} + a} {\left(2 \, x^{2} + \frac{a}{b}\right)} x + \frac{a^{2} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{8 \, b^{\frac{3}{2}}}"," ",0,"1/8*sqrt(b*x^2 + a)*(2*x^2 + a/b)*x + 1/8*a^2*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(3/2)","A",0
363,1,37,0,0.661041," ","integrate((b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{b x^{2} + a} x - \frac{a \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{2 \, \sqrt{b}}"," ",0,"1/2*sqrt(b*x^2 + a)*x - 1/2*a*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/sqrt(b)","A",0
364,1,57,0,0.651722," ","integrate((b*x^2+a)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{b} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{2 \, a \sqrt{b}}{{\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a}"," ",0,"-1/2*sqrt(b)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 2*a*sqrt(b)/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)","A",0
365,1,59,0,0.680652," ","integrate((b*x^2+a)^(1/2)/x^4,x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} b^{\frac{3}{2}} + a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3}}"," ",0,"2/3*(3*(sqrt(b)*x - sqrt(b*x^2 + a))^4*b^(3/2) + a^2*b^(3/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3","B",0
366,1,112,0,0.684161," ","integrate((b*x^2+a)^(1/2)/x^6,x, algorithm=""giac"")","\frac{4 \, {\left(15 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} b^{\frac{5}{2}} + 5 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a b^{\frac{5}{2}} + 5 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{2} b^{\frac{5}{2}} - a^{3} b^{\frac{5}{2}}\right)}}{15 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{5}}"," ",0,"4/15*(15*(sqrt(b)*x - sqrt(b*x^2 + a))^6*b^(5/2) + 5*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a*b^(5/2) + 5*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^2*b^(5/2) - a^3*b^(5/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^5","B",0
367,1,138,0,0.652641," ","integrate((b*x^2+a)^(1/2)/x^8,x, algorithm=""giac"")","\frac{16 \, {\left(70 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} b^{\frac{7}{2}} + 35 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a b^{\frac{7}{2}} + 21 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{2} b^{\frac{7}{2}} - 7 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{3} b^{\frac{7}{2}} + a^{4} b^{\frac{7}{2}}\right)}}{105 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{7}}"," ",0,"16/105*(70*(sqrt(b)*x - sqrt(b*x^2 + a))^8*b^(7/2) + 35*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a*b^(7/2) + 21*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^2*b^(7/2) - 7*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^3*b^(7/2) + a^4*b^(7/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^7","B",0
368,1,166,0,0.696648," ","integrate((b*x^2+a)^(1/2)/x^10,x, algorithm=""giac"")","\frac{32 \, {\left(315 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} b^{\frac{9}{2}} + 189 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a b^{\frac{9}{2}} + 84 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{2} b^{\frac{9}{2}} - 36 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{3} b^{\frac{9}{2}} + 9 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{4} b^{\frac{9}{2}} - a^{5} b^{\frac{9}{2}}\right)}}{315 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{9}}"," ",0,"32/315*(315*(sqrt(b)*x - sqrt(b*x^2 + a))^10*b^(9/2) + 189*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a*b^(9/2) + 84*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^2*b^(9/2) - 36*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^3*b^(9/2) + 9*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^4*b^(9/2) - a^5*b^(9/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^9","B",0
369,1,57,0,0.681949," ","integrate(x^7*(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{105 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} a + 495 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2} - 231 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{3}}{1155 \, b^{4}}"," ",0,"1/1155*(105*(b*x^2 + a)^(11/2) - 385*(b*x^2 + a)^(9/2)*a + 495*(b*x^2 + a)^(7/2)*a^2 - 231*(b*x^2 + a)^(5/2)*a^3)/b^4","A",0
370,1,43,0,0.641746," ","integrate(x^5*(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{35 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} - 90 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a + 63 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2}}{315 \, b^{3}}"," ",0,"1/315*(35*(b*x^2 + a)^(9/2) - 90*(b*x^2 + a)^(7/2)*a + 63*(b*x^2 + a)^(5/2)*a^2)/b^3","A",0
371,1,29,0,0.645314," ","integrate(x^3*(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{5 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} - 7 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a}{35 \, b^{2}}"," ",0,"1/35*(5*(b*x^2 + a)^(7/2) - 7*(b*x^2 + a)^(5/2)*a)/b^2","A",0
372,1,14,0,0.672016," ","integrate(x*(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{5 \, b}"," ",0,"1/5*(b*x^2 + a)^(5/2)/b","A",0
373,1,48,0,0.631196," ","integrate((b*x^2+a)^(3/2)/x,x, algorithm=""giac"")","\frac{a^{2} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{1}{3} \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} + \sqrt{b x^{2} + a} a"," ",0,"a^2*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 1/3*(b*x^2 + a)^(3/2) + sqrt(b*x^2 + a)*a","A",0
374,1,63,0,0.677059," ","integrate((b*x^2+a)^(3/2)/x^3,x, algorithm=""giac"")","\frac{\frac{3 \, a b^{2} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, \sqrt{b x^{2} + a} b^{2} - \frac{\sqrt{b x^{2} + a} a b}{x^{2}}}{2 \, b}"," ",0,"1/2*(3*a*b^2*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 2*sqrt(b*x^2 + a)*b^2 - sqrt(b*x^2 + a)*a*b/x^2)/b","A",0
375,1,70,0,0.647130," ","integrate((b*x^2+a)^(3/2)/x^5,x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3} - 3 \, \sqrt{b x^{2} + a} a b^{3}}{b^{2} x^{4}}}{8 \, b}"," ",0,"1/8*(3*b^3*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) - (5*(b*x^2 + a)^(3/2)*b^3 - 3*sqrt(b*x^2 + a)*a*b^3)/(b^2*x^4))/b","A",0
376,1,92,0,0.643682," ","integrate((b*x^2+a)^(3/2)/x^7,x, algorithm=""giac"")","-\frac{\frac{3 \, b^{4} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4} + 8 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{4} - 3 \, \sqrt{b x^{2} + a} a^{2} b^{4}}{a b^{3} x^{6}}}{48 \, b}"," ",0,"-1/48*(3*b^4*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a) + (3*(b*x^2 + a)^(5/2)*b^4 + 8*(b*x^2 + a)^(3/2)*a*b^4 - 3*sqrt(b*x^2 + a)*a^2*b^4)/(a*b^3*x^6))/b","A",0
377,1,109,0,0.650403," ","integrate((b*x^2+a)^(3/2)/x^9,x, algorithm=""giac"")","\frac{\frac{3 \, b^{5} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5} - 11 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a b^{5} - 11 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} b^{5} + 3 \, \sqrt{b x^{2} + a} a^{3} b^{5}}{a^{2} b^{4} x^{8}}}{128 \, b}"," ",0,"1/128*(3*b^5*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^2) + (3*(b*x^2 + a)^(7/2)*b^5 - 11*(b*x^2 + a)^(5/2)*a*b^5 - 11*(b*x^2 + a)^(3/2)*a^2*b^5 + 3*sqrt(b*x^2 + a)*a^3*b^5)/(a^2*b^4*x^8))/b","A",0
378,1,76,0,0.661611," ","integrate(x^4*(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{1}{128} \, {\left(2 \, {\left(4 \, {\left(2 \, b x^{2} + 3 \, a\right)} x^{2} + \frac{a^{2}}{b}\right)} x^{2} - \frac{3 \, a^{3}}{b^{2}}\right)} \sqrt{b x^{2} + a} x - \frac{3 \, a^{4} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{128 \, b^{\frac{5}{2}}}"," ",0,"1/128*(2*(4*(2*b*x^2 + 3*a)*x^2 + a^2/b)*x^2 - 3*a^3/b^2)*sqrt(b*x^2 + a)*x - 3/128*a^4*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(5/2)","A",0
379,1,63,0,0.639980," ","integrate(x^2*(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{1}{48} \, {\left(2 \, {\left(4 \, b x^{2} + 7 \, a\right)} x^{2} + \frac{3 \, a^{2}}{b}\right)} \sqrt{b x^{2} + a} x + \frac{a^{3} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{16 \, b^{\frac{3}{2}}}"," ",0,"1/48*(2*(4*b*x^2 + 7*a)*x^2 + 3*a^2/b)*sqrt(b*x^2 + a)*x + 1/16*a^3*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(3/2)","A",0
380,1,49,0,0.628067," ","integrate((b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, b x^{2} + 5 \, a\right)} \sqrt{b x^{2} + a} x - \frac{3 \, a^{2} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{8 \, \sqrt{b}}"," ",0,"1/8*(2*b*x^2 + 5*a)*sqrt(b*x^2 + a)*x - 3/8*a^2*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/sqrt(b)","A",0
381,1,73,0,0.670405," ","integrate((b*x^2+a)^(3/2)/x^2,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{b x^{2} + a} b x - \frac{3}{4} \, a \sqrt{b} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{2 \, a^{2} \sqrt{b}}{{\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a}"," ",0,"1/2*sqrt(b*x^2 + a)*b*x - 3/4*a*sqrt(b)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 2*a^2*sqrt(b)/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)","A",0
382,1,114,0,0.709255," ","integrate((b*x^2+a)^(3/2)/x^4,x, algorithm=""giac"")","-\frac{1}{2} \, b^{\frac{3}{2}} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{4 \, {\left(3 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a b^{\frac{3}{2}} - 3 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{2} b^{\frac{3}{2}} + 2 \, a^{3} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3}}"," ",0,"-1/2*b^(3/2)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 4/3*(3*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a*b^(3/2) - 3*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^2*b^(3/2) + 2*a^3*b^(3/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3","B",0
383,1,86,0,0.641608," ","integrate((b*x^2+a)^(3/2)/x^6,x, algorithm=""giac"")","\frac{2 \, {\left(5 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} b^{\frac{5}{2}} + 10 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{2} b^{\frac{5}{2}} + a^{4} b^{\frac{5}{2}}\right)}}{5 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{5}}"," ",0,"2/5*(5*(sqrt(b)*x - sqrt(b*x^2 + a))^8*b^(5/2) + 10*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^2*b^(5/2) + a^4*b^(5/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^5","B",0
384,1,166,0,0.687392," ","integrate((b*x^2+a)^(3/2)/x^8,x, algorithm=""giac"")","\frac{4 \, {\left(35 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} b^{\frac{7}{2}} + 35 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a b^{\frac{7}{2}} + 70 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{2} b^{\frac{7}{2}} + 14 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{3} b^{\frac{7}{2}} + 7 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{4} b^{\frac{7}{2}} - a^{5} b^{\frac{7}{2}}\right)}}{35 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{7}}"," ",0,"4/35*(35*(sqrt(b)*x - sqrt(b*x^2 + a))^10*b^(7/2) + 35*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a*b^(7/2) + 70*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^2*b^(7/2) + 14*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^3*b^(7/2) + 7*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^4*b^(7/2) - a^5*b^(7/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^7","B",0
385,1,192,0,0.637563," ","integrate((b*x^2+a)^(3/2)/x^10,x, algorithm=""giac"")","\frac{16 \, {\left(210 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} b^{\frac{9}{2}} + 315 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a b^{\frac{9}{2}} + 441 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{2} b^{\frac{9}{2}} + 126 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{3} b^{\frac{9}{2}} + 36 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{4} b^{\frac{9}{2}} - 9 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{5} b^{\frac{9}{2}} + a^{6} b^{\frac{9}{2}}\right)}}{315 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{9}}"," ",0,"16/315*(210*(sqrt(b)*x - sqrt(b*x^2 + a))^12*b^(9/2) + 315*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a*b^(9/2) + 441*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^2*b^(9/2) + 126*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^3*b^(9/2) + 36*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^4*b^(9/2) - 9*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^5*b^(9/2) + a^6*b^(9/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^9","B",0
386,1,220,0,0.685650," ","integrate((b*x^2+a)^(3/2)/x^12,x, algorithm=""giac"")","\frac{32 \, {\left(1155 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} b^{\frac{11}{2}} + 2079 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a b^{\frac{11}{2}} + 2541 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{2} b^{\frac{11}{2}} + 825 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{3} b^{\frac{11}{2}} + 165 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{4} b^{\frac{11}{2}} - 55 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{5} b^{\frac{11}{2}} + 11 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{6} b^{\frac{11}{2}} - a^{7} b^{\frac{11}{2}}\right)}}{1155 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{11}}"," ",0,"32/1155*(1155*(sqrt(b)*x - sqrt(b*x^2 + a))^14*b^(11/2) + 2079*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a*b^(11/2) + 2541*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^2*b^(11/2) + 825*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^3*b^(11/2) + 165*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^4*b^(11/2) - 55*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^5*b^(11/2) + 11*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^6*b^(11/2) - a^7*b^(11/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^11","B",0
387,1,57,0,0.659706," ","integrate(x^7*(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{231 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} - 819 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a + 1001 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} a^{2} - 429 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{3}}{3003 \, b^{4}}"," ",0,"1/3003*(231*(b*x^2 + a)^(13/2) - 819*(b*x^2 + a)^(11/2)*a + 1001*(b*x^2 + a)^(9/2)*a^2 - 429*(b*x^2 + a)^(7/2)*a^3)/b^4","A",0
388,1,43,0,0.922161," ","integrate(x^5*(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{63 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} - 154 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} a + 99 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2}}{693 \, b^{3}}"," ",0,"1/693*(63*(b*x^2 + a)^(11/2) - 154*(b*x^2 + a)^(9/2)*a + 99*(b*x^2 + a)^(7/2)*a^2)/b^3","A",0
389,1,29,0,0.991979," ","integrate(x^3*(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{7 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} - 9 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a}{63 \, b^{2}}"," ",0,"1/63*(7*(b*x^2 + a)^(9/2) - 9*(b*x^2 + a)^(7/2)*a)/b^2","A",0
390,1,14,0,1.199323," ","integrate(x*(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{\frac{7}{2}}}{7 \, b}"," ",0,"1/7*(b*x^2 + a)^(7/2)/b","A",0
391,1,62,0,1.187262," ","integrate((b*x^2+a)^(5/2)/x,x, algorithm=""giac"")","\frac{a^{3} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \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^3*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 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
392,1,82,0,1.129772," ","integrate((b*x^2+a)^(5/2)/x^3,x, algorithm=""giac"")","\frac{\frac{15 \, a^{2} b^{2} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2} + 12 \, \sqrt{b x^{2} + a} a b^{2} - \frac{3 \, \sqrt{b x^{2} + a} a^{2} b}{x^{2}}}{6 \, b}"," ",0,"1/6*(15*a^2*b^2*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 2*(b*x^2 + a)^(3/2)*b^2 + 12*sqrt(b*x^2 + a)*a*b^2 - 3*sqrt(b*x^2 + a)*a^2*b/x^2)/b","A",0
393,1,88,0,1.163510," ","integrate((b*x^2+a)^(5/2)/x^5,x, algorithm=""giac"")","\frac{\frac{15 \, a b^{3} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 8 \, \sqrt{b x^{2} + a} b^{3} - \frac{9 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{3} - 7 \, \sqrt{b x^{2} + a} a^{2} b^{3}}{b^{2} x^{4}}}{8 \, b}"," ",0,"1/8*(15*a*b^3*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 8*sqrt(b*x^2 + a)*b^3 - (9*(b*x^2 + a)^(3/2)*a*b^3 - 7*sqrt(b*x^2 + a)*a^2*b^3)/(b^2*x^4))/b","A",0
394,1,87,0,1.218043," ","integrate((b*x^2+a)^(5/2)/x^7,x, algorithm=""giac"")","\frac{\frac{15 \, b^{4} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{33 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{4} - 40 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{4} + 15 \, \sqrt{b x^{2} + a} a^{2} b^{4}}{b^{3} x^{6}}}{48 \, b}"," ",0,"1/48*(15*b^4*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) - (33*(b*x^2 + a)^(5/2)*b^4 - 40*(b*x^2 + a)^(3/2)*a*b^4 + 15*sqrt(b*x^2 + a)*a^2*b^4)/(b^3*x^6))/b","A",0
395,1,109,0,1.112610," ","integrate((b*x^2+a)^(5/2)/x^9,x, algorithm=""giac"")","-\frac{\frac{15 \, b^{5} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{15 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5} + 73 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a b^{5} - 55 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} b^{5} + 15 \, \sqrt{b x^{2} + a} a^{3} b^{5}}{a b^{4} x^{8}}}{384 \, b}"," ",0,"-1/384*(15*b^5*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a) + (15*(b*x^2 + a)^(7/2)*b^5 + 73*(b*x^2 + a)^(5/2)*a*b^5 - 55*(b*x^2 + a)^(3/2)*a^2*b^5 + 15*sqrt(b*x^2 + a)*a^3*b^5)/(a*b^4*x^8))/b","A",0
396,1,126,0,1.159724," ","integrate((b*x^2+a)^(5/2)/x^11,x, algorithm=""giac"")","\frac{\frac{15 \, b^{6} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{15 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{6} - 70 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a b^{6} - 128 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} b^{6} + 70 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} b^{6} - 15 \, \sqrt{b x^{2} + a} a^{4} b^{6}}{a^{2} b^{5} x^{10}}}{1280 \, b}"," ",0,"1/1280*(15*b^6*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^2) + (15*(b*x^2 + a)^(9/2)*b^6 - 70*(b*x^2 + a)^(7/2)*a*b^6 - 128*(b*x^2 + a)^(5/2)*a^2*b^6 + 70*(b*x^2 + a)^(3/2)*a^3*b^6 - 15*sqrt(b*x^2 + a)*a^4*b^6)/(a^2*b^5*x^10))/b","A",0
397,1,91,0,1.089643," ","integrate(x^4*(b*x^2+a)^(5/2),x, algorithm=""giac"")","-\frac{3 \, a^{5} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{256 \, b^{\frac{5}{2}}} + \frac{1}{1280} \, {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, b^{2} x^{2} + 21 \, a b\right)} x^{2} + 31 \, a^{2}\right)} x^{2} + \frac{5 \, a^{3}}{b}\right)} x^{2} - \frac{15 \, a^{4}}{b^{2}}\right)} \sqrt{b x^{2} + a} x"," ",0,"-3/256*a^5*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(5/2) + 1/1280*(2*(4*(2*(8*b^2*x^2 + 21*a*b)*x^2 + 31*a^2)*x^2 + 5*a^3/b)*x^2 - 15*a^4/b^2)*sqrt(b*x^2 + a)*x","A",0
398,1,77,0,1.080227," ","integrate(x^2*(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{5 \, a^{4} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{128 \, b^{\frac{3}{2}}} + \frac{1}{384} \, {\left(2 \, {\left(4 \, {\left(6 \, b^{2} x^{2} + 17 \, a b\right)} x^{2} + 59 \, a^{2}\right)} x^{2} + \frac{15 \, a^{3}}{b}\right)} \sqrt{b x^{2} + a} x"," ",0,"5/128*a^4*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(3/2) + 1/384*(2*(4*(6*b^2*x^2 + 17*a*b)*x^2 + 59*a^2)*x^2 + 15*a^3/b)*sqrt(b*x^2 + a)*x","A",0
399,1,63,0,1.225913," ","integrate((b*x^2+a)^(5/2),x, algorithm=""giac"")","-\frac{5 \, a^{3} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{16 \, \sqrt{b}} + \frac{1}{48} \, {\left(2 \, {\left(4 \, b^{2} x^{2} + 13 \, a b\right)} x^{2} + 33 \, a^{2}\right)} \sqrt{b x^{2} + a} x"," ",0,"-5/16*a^3*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/sqrt(b) + 1/48*(2*(4*b^2*x^2 + 13*a*b)*x^2 + 33*a^2)*sqrt(b*x^2 + a)*x","A",0
400,1,87,0,1.112638," ","integrate((b*x^2+a)^(5/2)/x^2,x, algorithm=""giac"")","-\frac{15}{16} \, a^{2} \sqrt{b} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{2 \, a^{3} \sqrt{b}}{{\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a} + \frac{1}{8} \, {\left(2 \, b^{2} x^{2} + 9 \, a b\right)} \sqrt{b x^{2} + a} x"," ",0,"-15/16*a^2*sqrt(b)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 2*a^3*sqrt(b)/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a) + 1/8*(2*b^2*x^2 + 9*a*b)*sqrt(b*x^2 + a)*x","A",0
401,1,132,0,1.124865," ","integrate((b*x^2+a)^(5/2)/x^4,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{b x^{2} + a} b^{2} x - \frac{5}{4} \, a b^{\frac{3}{2}} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{2 \, {\left(9 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{2} b^{\frac{3}{2}} - 12 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{3} b^{\frac{3}{2}} + 7 \, a^{4} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3}}"," ",0,"1/2*sqrt(b*x^2 + a)*b^2*x - 5/4*a*b^(3/2)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 2/3*(9*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^2*b^(3/2) - 12*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^3*b^(3/2) + 7*a^4*b^(3/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3","A",0
402,1,168,0,1.138535," ","integrate((b*x^2+a)^(5/2)/x^6,x, algorithm=""giac"")","-\frac{1}{2} \, b^{\frac{5}{2}} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{2 \, {\left(45 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a b^{\frac{5}{2}} - 90 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{2} b^{\frac{5}{2}} + 140 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{3} b^{\frac{5}{2}} - 70 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{4} b^{\frac{5}{2}} + 23 \, a^{5} b^{\frac{5}{2}}\right)}}{15 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{5}}"," ",0,"-1/2*b^(5/2)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 2/15*(45*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a*b^(5/2) - 90*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^2*b^(5/2) + 140*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^3*b^(5/2) - 70*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^4*b^(5/2) + 23*a^5*b^(5/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^5","B",0
403,1,113,0,0.992865," ","integrate((b*x^2+a)^(5/2)/x^8,x, algorithm=""giac"")","\frac{2 \, {\left(7 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} b^{\frac{7}{2}} + 35 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{2} b^{\frac{7}{2}} + 21 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{4} b^{\frac{7}{2}} + a^{6} b^{\frac{7}{2}}\right)}}{7 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{7}}"," ",0,"2/7*(7*(sqrt(b)*x - sqrt(b*x^2 + a))^12*b^(7/2) + 35*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^2*b^(7/2) + 21*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^4*b^(7/2) + a^6*b^(7/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^7","B",0
404,1,220,0,1.141545," ","integrate((b*x^2+a)^(5/2)/x^10,x, algorithm=""giac"")","\frac{4 \, {\left(63 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} b^{\frac{9}{2}} + 105 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a b^{\frac{9}{2}} + 315 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{2} b^{\frac{9}{2}} + 189 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{3} b^{\frac{9}{2}} + 189 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{4} b^{\frac{9}{2}} + 27 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{5} b^{\frac{9}{2}} + 9 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{6} b^{\frac{9}{2}} - a^{7} b^{\frac{9}{2}}\right)}}{63 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{9}}"," ",0,"4/63*(63*(sqrt(b)*x - sqrt(b*x^2 + a))^14*b^(9/2) + 105*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a*b^(9/2) + 315*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^2*b^(9/2) + 189*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^3*b^(9/2) + 189*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^4*b^(9/2) + 27*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^5*b^(9/2) + 9*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^6*b^(9/2) - a^7*b^(9/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^9","B",0
405,1,246,0,1.156012," ","integrate((b*x^2+a)^(5/2)/x^12,x, algorithm=""giac"")","\frac{16 \, {\left(462 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} b^{\frac{11}{2}} + 1155 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a b^{\frac{11}{2}} + 2541 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{2} b^{\frac{11}{2}} + 2079 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{3} b^{\frac{11}{2}} + 1485 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{4} b^{\frac{11}{2}} + 297 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{5} b^{\frac{11}{2}} + 55 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{6} b^{\frac{11}{2}} - 11 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{7} b^{\frac{11}{2}} + a^{8} b^{\frac{11}{2}}\right)}}{693 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{11}}"," ",0,"16/693*(462*(sqrt(b)*x - sqrt(b*x^2 + a))^16*b^(11/2) + 1155*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a*b^(11/2) + 2541*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^2*b^(11/2) + 2079*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^3*b^(11/2) + 1485*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^4*b^(11/2) + 297*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^5*b^(11/2) + 55*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^6*b^(11/2) - 11*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^7*b^(11/2) + a^8*b^(11/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^11","B",0
406,1,274,0,1.182907," ","integrate((b*x^2+a)^(5/2)/x^14,x, algorithm=""giac"")","\frac{32 \, {\left(3003 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} b^{\frac{13}{2}} + 9009 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a b^{\frac{13}{2}} + 18018 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{2} b^{\frac{13}{2}} + 16302 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{3} b^{\frac{13}{2}} + 10296 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{4} b^{\frac{13}{2}} + 2288 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{5} b^{\frac{13}{2}} + 286 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{6} b^{\frac{13}{2}} - 78 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{7} b^{\frac{13}{2}} + 13 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{8} b^{\frac{13}{2}} - a^{9} b^{\frac{13}{2}}\right)}}{3003 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{13}}"," ",0,"32/3003*(3003*(sqrt(b)*x - sqrt(b*x^2 + a))^18*b^(13/2) + 9009*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a*b^(13/2) + 18018*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^2*b^(13/2) + 16302*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^3*b^(13/2) + 10296*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^4*b^(13/2) + 2288*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^5*b^(13/2) + 286*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^6*b^(13/2) - 78*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^7*b^(13/2) + 13*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^8*b^(13/2) - a^9*b^(13/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^13","B",0
407,1,300,0,1.230308," ","integrate((b*x^2+a)^(5/2)/x^16,x, algorithm=""giac"")","\frac{256 \, {\left(18018 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} b^{\frac{15}{2}} + 60060 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a b^{\frac{15}{2}} + 115830 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{2} b^{\frac{15}{2}} + 109395 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{3} b^{\frac{15}{2}} + 65065 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{4} b^{\frac{15}{2}} + 15015 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{5} b^{\frac{15}{2}} + 1365 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{6} b^{\frac{15}{2}} - 455 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{7} b^{\frac{15}{2}} + 105 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{8} b^{\frac{15}{2}} - 15 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{9} b^{\frac{15}{2}} + a^{10} b^{\frac{15}{2}}\right)}}{45045 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{15}}"," ",0,"256/45045*(18018*(sqrt(b)*x - sqrt(b*x^2 + a))^20*b^(15/2) + 60060*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a*b^(15/2) + 115830*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^2*b^(15/2) + 109395*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^3*b^(15/2) + 65065*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^4*b^(15/2) + 15015*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^5*b^(15/2) + 1365*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^6*b^(15/2) - 455*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^7*b^(15/2) + 105*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^8*b^(15/2) - 15*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^9*b^(15/2) + a^10*b^(15/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^15","B",0
408,1,328,0,1.101131," ","integrate((b*x^2+a)^(5/2)/x^18,x, algorithm=""giac"")","\frac{512 \, {\left(102102 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{22} b^{\frac{17}{2}} + 364650 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} a b^{\frac{17}{2}} + 692835 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a^{2} b^{\frac{17}{2}} + 668525 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{3} b^{\frac{17}{2}} + 384098 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{4} b^{\frac{17}{2}} + 89726 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{5} b^{\frac{17}{2}} + 6188 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{6} b^{\frac{17}{2}} - 2380 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{7} b^{\frac{17}{2}} + 680 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{8} b^{\frac{17}{2}} - 136 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{9} b^{\frac{17}{2}} + 17 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{10} b^{\frac{17}{2}} - a^{11} b^{\frac{17}{2}}\right)}}{153153 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{17}}"," ",0,"512/153153*(102102*(sqrt(b)*x - sqrt(b*x^2 + a))^22*b^(17/2) + 364650*(sqrt(b)*x - sqrt(b*x^2 + a))^20*a*b^(17/2) + 692835*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a^2*b^(17/2) + 668525*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^3*b^(17/2) + 384098*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^4*b^(17/2) + 89726*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^5*b^(17/2) + 6188*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^6*b^(17/2) - 2380*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^7*b^(17/2) + 680*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^8*b^(17/2) - 136*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^9*b^(17/2) + 17*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^10*b^(17/2) - a^11*b^(17/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^17","B",0
409,1,113,0,1.067932," ","integrate(x^15*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{1062347 \, {\left(b x^{2} + a\right)}^{\frac{25}{2}} - 8083075 \, {\left(b x^{2} + a\right)}^{\frac{23}{2}} a + 26558675 \, {\left(b x^{2} + a\right)}^{\frac{21}{2}} a^{2} - 48923875 \, {\left(b x^{2} + a\right)}^{\frac{19}{2}} a^{3} + 54679625 \, {\left(b x^{2} + a\right)}^{\frac{17}{2}} a^{4} - 37182145 \, {\left(b x^{2} + a\right)}^{\frac{15}{2}} a^{5} + 14300825 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} a^{6} - 2414425 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{7}}{26558675 \, b^{8}}"," ",0,"1/26558675*(1062347*(b*x^2 + a)^(25/2) - 8083075*(b*x^2 + a)^(23/2)*a + 26558675*(b*x^2 + a)^(21/2)*a^2 - 48923875*(b*x^2 + a)^(19/2)*a^3 + 54679625*(b*x^2 + a)^(17/2)*a^4 - 37182145*(b*x^2 + a)^(15/2)*a^5 + 14300825*(b*x^2 + a)^(13/2)*a^6 - 2414425*(b*x^2 + a)^(11/2)*a^7)/b^8","A",0
410,1,99,0,1.096022," ","integrate(x^13*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{323323 \, {\left(b x^{2} + a\right)}^{\frac{23}{2}} - 2124694 \, {\left(b x^{2} + a\right)}^{\frac{21}{2}} a + 5870865 \, {\left(b x^{2} + a\right)}^{\frac{19}{2}} a^{2} - 8748740 \, {\left(b x^{2} + a\right)}^{\frac{17}{2}} a^{3} + 7436429 \, {\left(b x^{2} + a\right)}^{\frac{15}{2}} a^{4} - 3432198 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} a^{5} + 676039 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{6}}{7436429 \, b^{7}}"," ",0,"1/7436429*(323323*(b*x^2 + a)^(23/2) - 2124694*(b*x^2 + a)^(21/2)*a + 5870865*(b*x^2 + a)^(19/2)*a^2 - 8748740*(b*x^2 + a)^(17/2)*a^3 + 7436429*(b*x^2 + a)^(15/2)*a^4 - 3432198*(b*x^2 + a)^(13/2)*a^5 + 676039*(b*x^2 + a)^(11/2)*a^6)/b^7","A",0
411,1,85,0,1.009681," ","integrate(x^11*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{46189 \, {\left(b x^{2} + a\right)}^{\frac{21}{2}} - 255255 \, {\left(b x^{2} + a\right)}^{\frac{19}{2}} a + 570570 \, {\left(b x^{2} + a\right)}^{\frac{17}{2}} a^{2} - 646646 \, {\left(b x^{2} + a\right)}^{\frac{15}{2}} a^{3} + 373065 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} a^{4} - 88179 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{5}}{969969 \, b^{6}}"," ",0,"1/969969*(46189*(b*x^2 + a)^(21/2) - 255255*(b*x^2 + a)^(19/2)*a + 570570*(b*x^2 + a)^(17/2)*a^2 - 646646*(b*x^2 + a)^(15/2)*a^3 + 373065*(b*x^2 + a)^(13/2)*a^4 - 88179*(b*x^2 + a)^(11/2)*a^5)/b^6","A",0
412,1,71,0,1.077412," ","integrate(x^9*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{12155 \, {\left(b x^{2} + a\right)}^{\frac{19}{2}} - 54340 \, {\left(b x^{2} + a\right)}^{\frac{17}{2}} a + 92378 \, {\left(b x^{2} + a\right)}^{\frac{15}{2}} a^{2} - 71060 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} a^{3} + 20995 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{4}}{230945 \, b^{5}}"," ",0,"1/230945*(12155*(b*x^2 + a)^(19/2) - 54340*(b*x^2 + a)^(17/2)*a + 92378*(b*x^2 + a)^(15/2)*a^2 - 71060*(b*x^2 + a)^(13/2)*a^3 + 20995*(b*x^2 + a)^(11/2)*a^4)/b^5","A",0
413,1,57,0,1.145592," ","integrate(x^7*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{715 \, {\left(b x^{2} + a\right)}^{\frac{17}{2}} - 2431 \, {\left(b x^{2} + a\right)}^{\frac{15}{2}} a + 2805 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} a^{2} - 1105 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{3}}{12155 \, b^{4}}"," ",0,"1/12155*(715*(b*x^2 + a)^(17/2) - 2431*(b*x^2 + a)^(15/2)*a + 2805*(b*x^2 + a)^(13/2)*a^2 - 1105*(b*x^2 + a)^(11/2)*a^3)/b^4","A",0
414,1,43,0,0.960303," ","integrate(x^5*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{143 \, {\left(b x^{2} + a\right)}^{\frac{15}{2}} - 330 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} a + 195 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a^{2}}{2145 \, b^{3}}"," ",0,"1/2145*(143*(b*x^2 + a)^(15/2) - 330*(b*x^2 + a)^(13/2)*a + 195*(b*x^2 + a)^(11/2)*a^2)/b^3","A",0
415,1,29,0,1.057904," ","integrate(x^3*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{11 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} - 13 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a}{143 \, b^{2}}"," ",0,"1/143*(11*(b*x^2 + a)^(13/2) - 13*(b*x^2 + a)^(11/2)*a)/b^2","A",0
416,1,14,0,1.187727," ","integrate(x*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{\frac{11}{2}}}{11 \, b}"," ",0,"1/11*(b*x^2 + a)^(11/2)/b","A",0
417,1,90,0,1.167576," ","integrate((b*x^2+a)^(9/2)/x,x, algorithm=""giac"")","\frac{a^{5} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \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^5*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 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
418,1,116,0,1.143583," ","integrate((b*x^2+a)^(9/2)/x^3,x, algorithm=""giac"")","\frac{\frac{315 \, a^{4} b^{2} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 10 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2} + 28 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a b^{2} + 70 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} b^{2} + 280 \, \sqrt{b x^{2} + a} a^{3} b^{2} - \frac{35 \, \sqrt{b x^{2} + a} a^{4} b}{x^{2}}}{70 \, b}"," ",0,"1/70*(315*a^4*b^2*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 10*(b*x^2 + a)^(7/2)*b^2 + 28*(b*x^2 + a)^(5/2)*a*b^2 + 70*(b*x^2 + a)^(3/2)*a^2*b^2 + 280*sqrt(b*x^2 + a)*a^3*b^2 - 35*sqrt(b*x^2 + a)*a^4*b/x^2)/b","A",0
419,1,124,0,1.145497," ","integrate((b*x^2+a)^(9/2)/x^5,x, algorithm=""giac"")","\frac{\frac{315 \, a^{3} b^{3} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 8 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} b^{3} + 40 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a b^{3} + 240 \, \sqrt{b x^{2} + a} a^{2} b^{3} - \frac{5 \, {\left(17 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} b^{3} - 15 \, \sqrt{b x^{2} + a} a^{4} b^{3}\right)}}{b^{2} x^{4}}}{40 \, b}"," ",0,"1/40*(315*a^3*b^3*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 8*(b*x^2 + a)^(5/2)*b^3 + 40*(b*x^2 + a)^(3/2)*a*b^3 + 240*sqrt(b*x^2 + a)*a^2*b^3 - 5*(17*(b*x^2 + a)^(3/2)*a^3*b^3 - 15*sqrt(b*x^2 + a)*a^4*b^3)/(b^2*x^4))/b","A",0
420,1,124,0,1.095604," ","integrate((b*x^2+a)^(9/2)/x^7,x, algorithm=""giac"")","\frac{\frac{315 \, a^{2} b^{4} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 16 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{4} + 192 \, \sqrt{b x^{2} + a} a b^{4} - \frac{165 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} b^{4} - 280 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} b^{4} + 123 \, \sqrt{b x^{2} + a} a^{4} b^{4}}{b^{3} x^{6}}}{48 \, b}"," ",0,"1/48*(315*a^2*b^4*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 16*(b*x^2 + a)^(3/2)*b^4 + 192*sqrt(b*x^2 + a)*a*b^4 - (165*(b*x^2 + a)^(5/2)*a^2*b^4 - 280*(b*x^2 + a)^(3/2)*a^3*b^4 + 123*sqrt(b*x^2 + a)*a^4*b^4)/(b^3*x^6))/b","A",0
421,1,122,0,1.126755," ","integrate((b*x^2+a)^(9/2)/x^9,x, algorithm=""giac"")","\frac{\frac{315 \, a b^{5} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 128 \, \sqrt{b x^{2} + a} b^{5} - \frac{325 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a b^{5} - 765 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} b^{5} + 643 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} b^{5} - 187 \, \sqrt{b x^{2} + a} a^{4} b^{5}}{b^{4} x^{8}}}{128 \, b}"," ",0,"1/128*(315*a*b^5*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 128*sqrt(b*x^2 + a)*b^5 - (325*(b*x^2 + a)^(7/2)*a*b^5 - 765*(b*x^2 + a)^(5/2)*a^2*b^5 + 643*(b*x^2 + a)^(3/2)*a^3*b^5 - 187*sqrt(b*x^2 + a)*a^4*b^5)/(b^4*x^8))/b","A",0
422,1,121,0,1.086874," ","integrate((b*x^2+a)^(9/2)/x^11,x, algorithm=""giac"")","\frac{\frac{315 \, b^{6} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{965 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} b^{6} - 2370 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a b^{6} + 2688 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{2} b^{6} - 1470 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3} b^{6} + 315 \, \sqrt{b x^{2} + a} a^{4} b^{6}}{b^{5} x^{10}}}{1280 \, b}"," ",0,"1/1280*(315*b^6*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) - (965*(b*x^2 + a)^(9/2)*b^6 - 2370*(b*x^2 + a)^(7/2)*a*b^6 + 2688*(b*x^2 + a)^(5/2)*a^2*b^6 - 1470*(b*x^2 + a)^(3/2)*a^3*b^6 + 315*sqrt(b*x^2 + a)*a^4*b^6)/(b^5*x^10))/b","A",0
423,1,143,0,1.102466," ","integrate((b*x^2+a)^(9/2)/x^13,x, algorithm=""giac"")","-\frac{\frac{315 \, b^{7} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{315 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} b^{7} + 3335 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} a b^{7} - 5058 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{2} b^{7} + 4158 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{3} b^{7} - 1785 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{4} b^{7} + 315 \, \sqrt{b x^{2} + a} a^{5} b^{7}}{a b^{6} x^{12}}}{15360 \, b}"," ",0,"-1/15360*(315*b^7*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a) + (315*(b*x^2 + a)^(11/2)*b^7 + 3335*(b*x^2 + a)^(9/2)*a*b^7 - 5058*(b*x^2 + a)^(7/2)*a^2*b^7 + 4158*(b*x^2 + a)^(5/2)*a^3*b^7 - 1785*(b*x^2 + a)^(3/2)*a^4*b^7 + 315*sqrt(b*x^2 + a)*a^5*b^7)/(a*b^6*x^12))/b","A",0
424,1,160,0,1.091732," ","integrate((b*x^2+a)^(9/2)/x^15,x, algorithm=""giac"")","\frac{\frac{315 \, b^{8} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{315 \, {\left(b x^{2} + a\right)}^{\frac{13}{2}} b^{8} - 2100 \, {\left(b x^{2} + a\right)}^{\frac{11}{2}} a b^{8} - 8393 \, {\left(b x^{2} + a\right)}^{\frac{9}{2}} a^{2} b^{8} + 9216 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{3} b^{8} - 5943 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} a^{4} b^{8} + 2100 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{5} b^{8} - 315 \, \sqrt{b x^{2} + a} a^{6} b^{8}}{a^{2} b^{7} x^{14}}}{71680 \, b}"," ",0,"1/71680*(315*b^8*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^2) + (315*(b*x^2 + a)^(13/2)*b^8 - 2100*(b*x^2 + a)^(11/2)*a*b^8 - 8393*(b*x^2 + a)^(9/2)*a^2*b^8 + 9216*(b*x^2 + a)^(7/2)*a^3*b^8 - 5943*(b*x^2 + a)^(5/2)*a^4*b^8 + 2100*(b*x^2 + a)^(3/2)*a^5*b^8 - 315*sqrt(b*x^2 + a)*a^6*b^8)/(a^2*b^7*x^14))/b","A",0
425,1,133,0,1.208845," ","integrate(x^6*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{45 \, a^{8} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{32768 \, b^{\frac{7}{2}}} + \frac{1}{229376} \, {\left(\frac{315 \, a^{7}}{b^{3}} - 2 \, {\left(\frac{105 \, a^{6}}{b^{2}} - 4 \, {\left(\frac{21 \, a^{5}}{b} + 2 \, {\left(2039 \, a^{4} + 8 \, {\left(769 \, a^{3} b + 2 \, {\left(465 \, a^{2} b^{2} + 4 \, {\left(14 \, b^{4} x^{2} + 65 \, a b^{3}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} \sqrt{b x^{2} + a} x"," ",0,"45/32768*a^8*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(7/2) + 1/229376*(315*a^7/b^3 - 2*(105*a^6/b^2 - 4*(21*a^5/b + 2*(2039*a^4 + 8*(769*a^3*b + 2*(465*a^2*b^2 + 4*(14*b^4*x^2 + 65*a*b^3)*x^2)*x^2)*x^2)*x^2)*x^2)*x^2)*sqrt(b*x^2 + a)*x","A",0
426,1,119,0,1.165888," ","integrate(x^4*(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{9 \, a^{7} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{2048 \, b^{\frac{5}{2}}} - \frac{1}{71680} \, {\left(\frac{315 \, a^{6}}{b^{2}} - 2 \, {\left(\frac{105 \, a^{5}}{b} + 4 \, {\left(1771 \, a^{4} + 2 \, {\left(2441 \, a^{3} b + 8 \, {\left(351 \, a^{2} b^{2} + 10 \, {\left(4 \, b^{4} x^{2} + 19 \, a b^{3}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} \sqrt{b x^{2} + a} x"," ",0,"-9/2048*a^7*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(5/2) - 1/71680*(315*a^6/b^2 - 2*(105*a^5/b + 4*(1771*a^4 + 2*(2441*a^3*b + 8*(351*a^2*b^2 + 10*(4*b^4*x^2 + 19*a*b^3)*x^2)*x^2)*x^2)*x^2)*x^2)*sqrt(b*x^2 + a)*x","A",0
427,1,105,0,1.244111," ","integrate(x^2*(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{21 \, a^{6} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{1024 \, b^{\frac{3}{2}}} + \frac{1}{15360} \, {\left(\frac{315 \, a^{5}}{b} + 2 \, {\left(2455 \, a^{4} + 4 \, {\left(1429 \, a^{3} b + 2 \, {\left(759 \, a^{2} b^{2} + 8 \, {\left(10 \, b^{4} x^{2} + 49 \, a b^{3}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} \sqrt{b x^{2} + a} x"," ",0,"21/1024*a^6*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(3/2) + 1/15360*(315*a^5/b + 2*(2455*a^4 + 4*(1429*a^3*b + 2*(759*a^2*b^2 + 8*(10*b^4*x^2 + 49*a*b^3)*x^2)*x^2)*x^2)*x^2)*sqrt(b*x^2 + a)*x","A",0
428,1,91,0,1.123135," ","integrate((b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{63 \, a^{5} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{256 \, \sqrt{b}} + \frac{1}{1280} \, {\left(965 \, a^{4} + 2 \, {\left(745 \, a^{3} b + 4 \, {\left(171 \, a^{2} b^{2} + 2 \, {\left(8 \, b^{4} x^{2} + 41 \, a b^{3}\right)} x^{2}\right)} x^{2}\right)} x^{2}\right)} \sqrt{b x^{2} + a} x"," ",0,"-63/256*a^5*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/sqrt(b) + 1/1280*(965*a^4 + 2*(745*a^3*b + 4*(171*a^2*b^2 + 2*(8*b^4*x^2 + 41*a*b^3)*x^2)*x^2)*x^2)*sqrt(b*x^2 + a)*x","A",0
429,1,115,0,1.216678," ","integrate((b*x^2+a)^(9/2)/x^2,x, algorithm=""giac"")","-\frac{315}{256} \, a^{4} \sqrt{b} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{2 \, a^{5} \sqrt{b}}{{\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a} + \frac{1}{128} \, {\left(325 \, a^{3} b + 2 \, {\left(105 \, a^{2} b^{2} + 4 \, {\left(2 \, b^{4} x^{2} + 11 \, a b^{3}\right)} x^{2}\right)} x^{2}\right)} \sqrt{b x^{2} + a} x"," ",0,"-315/256*a^4*sqrt(b)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 2*a^5*sqrt(b)/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a) + 1/128*(325*a^3*b + 2*(105*a^2*b^2 + 4*(2*b^4*x^2 + 11*a*b^3)*x^2)*x^2)*sqrt(b*x^2 + a)*x","A",0
430,1,160,0,1.146358," ","integrate((b*x^2+a)^(9/2)/x^4,x, algorithm=""giac"")","-\frac{105}{32} \, a^{3} b^{\frac{3}{2}} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{1}{48} \, {\left(165 \, a^{2} b^{2} + 2 \, {\left(4 \, b^{4} x^{2} + 25 \, a b^{3}\right)} x^{2}\right)} \sqrt{b x^{2} + a} x + \frac{2 \, {\left(15 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{4} b^{\frac{3}{2}} - 24 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{5} b^{\frac{3}{2}} + 13 \, a^{6} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3}}"," ",0,"-105/32*a^3*b^(3/2)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 1/48*(165*a^2*b^2 + 2*(4*b^4*x^2 + 25*a*b^3)*x^2)*sqrt(b*x^2 + a)*x + 2/3*(15*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^4*b^(3/2) - 24*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^5*b^(3/2) + 13*a^6*b^(3/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3","A",0
431,1,200,0,1.078848," ","integrate((b*x^2+a)^(9/2)/x^6,x, algorithm=""giac"")","-\frac{63}{16} \, a^{2} b^{\frac{5}{2}} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{1}{8} \, {\left(2 \, b^{4} x^{2} + 17 \, a b^{3}\right)} \sqrt{b x^{2} + a} x + \frac{4 \, {\left(25 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{3} b^{\frac{5}{2}} - 75 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{4} b^{\frac{5}{2}} + 105 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{5} b^{\frac{5}{2}} - 65 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{6} b^{\frac{5}{2}} + 18 \, a^{7} b^{\frac{5}{2}}\right)}}{5 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{5}}"," ",0,"-63/16*a^2*b^(5/2)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 1/8*(2*b^4*x^2 + 17*a*b^3)*sqrt(b*x^2 + a)*x + 4/5*(25*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^3*b^(5/2) - 75*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^4*b^(5/2) + 105*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^5*b^(5/2) - 65*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^6*b^(5/2) + 18*a^7*b^(5/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^5","A",0
432,1,240,0,1.200606," ","integrate((b*x^2+a)^(9/2)/x^8,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{b x^{2} + a} b^{4} x - \frac{9}{4} \, a b^{\frac{7}{2}} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{4 \, {\left(175 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{2} b^{\frac{7}{2}} - 700 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{3} b^{\frac{7}{2}} + 1575 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{4} b^{\frac{7}{2}} - 1820 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{5} b^{\frac{7}{2}} + 1337 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{6} b^{\frac{7}{2}} - 504 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{7} b^{\frac{7}{2}} + 97 \, a^{8} b^{\frac{7}{2}}\right)}}{35 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{7}}"," ",0,"1/2*sqrt(b*x^2 + a)*b^4*x - 9/4*a*b^(7/2)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 4/35*(175*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^2*b^(7/2) - 700*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^3*b^(7/2) + 1575*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^4*b^(7/2) - 1820*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^5*b^(7/2) + 1337*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^6*b^(7/2) - 504*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^7*b^(7/2) + 97*a^8*b^(7/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^7","B",0
433,1,276,0,1.118954," ","integrate((b*x^2+a)^(9/2)/x^10,x, algorithm=""giac"")","-\frac{1}{2} \, b^{\frac{9}{2}} \log\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2}\right) + \frac{2 \, {\left(1575 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a b^{\frac{9}{2}} - 6300 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{2} b^{\frac{9}{2}} + 21000 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{3} b^{\frac{9}{2}} - 31500 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{4} b^{\frac{9}{2}} + 39438 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{5} b^{\frac{9}{2}} - 26292 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{6} b^{\frac{9}{2}} + 13968 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{7} b^{\frac{9}{2}} - 3492 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{8} b^{\frac{9}{2}} + 563 \, a^{9} b^{\frac{9}{2}}\right)}}{315 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{9}}"," ",0,"-1/2*b^(9/2)*log((sqrt(b)*x - sqrt(b*x^2 + a))^2) + 2/315*(1575*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a*b^(9/2) - 6300*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^2*b^(9/2) + 21000*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^3*b^(9/2) - 31500*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^4*b^(9/2) + 39438*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^5*b^(9/2) - 26292*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^6*b^(9/2) + 13968*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^7*b^(9/2) - 3492*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^8*b^(9/2) + 563*a^9*b^(9/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^9","B",0
434,1,167,0,1.061786," ","integrate((b*x^2+a)^(9/2)/x^12,x, algorithm=""giac"")","\frac{2 \, {\left(11 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} b^{\frac{11}{2}} + 165 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{2} b^{\frac{11}{2}} + 462 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{4} b^{\frac{11}{2}} + 330 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{6} b^{\frac{11}{2}} + 55 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{8} b^{\frac{11}{2}} + a^{10} b^{\frac{11}{2}}\right)}}{11 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{11}}"," ",0,"2/11*(11*(sqrt(b)*x - sqrt(b*x^2 + a))^20*b^(11/2) + 165*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^2*b^(11/2) + 462*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^4*b^(11/2) + 330*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^6*b^(11/2) + 55*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^8*b^(11/2) + a^10*b^(11/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^11","B",0
435,1,328,0,1.092231," ","integrate((b*x^2+a)^(9/2)/x^14,x, algorithm=""giac"")","\frac{4 \, {\left(143 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{22} b^{\frac{13}{2}} + 429 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} a b^{\frac{13}{2}} + 2145 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a^{2} b^{\frac{13}{2}} + 3003 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{3} b^{\frac{13}{2}} + 6006 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{4} b^{\frac{13}{2}} + 4290 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{5} b^{\frac{13}{2}} + 4290 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{6} b^{\frac{13}{2}} + 1430 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{7} b^{\frac{13}{2}} + 715 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{8} b^{\frac{13}{2}} + 65 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{9} b^{\frac{13}{2}} + 13 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{10} b^{\frac{13}{2}} - a^{11} b^{\frac{13}{2}}\right)}}{143 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{13}}"," ",0,"4/143*(143*(sqrt(b)*x - sqrt(b*x^2 + a))^22*b^(13/2) + 429*(sqrt(b)*x - sqrt(b*x^2 + a))^20*a*b^(13/2) + 2145*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a^2*b^(13/2) + 3003*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^3*b^(13/2) + 6006*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^4*b^(13/2) + 4290*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^5*b^(13/2) + 4290*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^6*b^(13/2) + 1430*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^7*b^(13/2) + 715*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^8*b^(13/2) + 65*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^9*b^(13/2) + 13*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^10*b^(13/2) - a^11*b^(13/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^13","B",0
436,1,354,0,1.223884," ","integrate((b*x^2+a)^(9/2)/x^16,x, algorithm=""giac"")","\frac{16 \, {\left(1430 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{24} b^{\frac{15}{2}} + 6435 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{22} a b^{\frac{15}{2}} + 24453 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} a^{2} b^{\frac{15}{2}} + 45045 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a^{3} b^{\frac{15}{2}} + 70785 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{4} b^{\frac{15}{2}} + 64350 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{5} b^{\frac{15}{2}} + 50050 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{6} b^{\frac{15}{2}} + 21450 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{7} b^{\frac{15}{2}} + 7800 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{8} b^{\frac{15}{2}} + 975 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{9} b^{\frac{15}{2}} + 105 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{10} b^{\frac{15}{2}} - 15 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{11} b^{\frac{15}{2}} + a^{12} b^{\frac{15}{2}}\right)}}{2145 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{15}}"," ",0,"16/2145*(1430*(sqrt(b)*x - sqrt(b*x^2 + a))^24*b^(15/2) + 6435*(sqrt(b)*x - sqrt(b*x^2 + a))^22*a*b^(15/2) + 24453*(sqrt(b)*x - sqrt(b*x^2 + a))^20*a^2*b^(15/2) + 45045*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a^3*b^(15/2) + 70785*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^4*b^(15/2) + 64350*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^5*b^(15/2) + 50050*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^6*b^(15/2) + 21450*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^7*b^(15/2) + 7800*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^8*b^(15/2) + 975*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^9*b^(15/2) + 105*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^10*b^(15/2) - 15*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^11*b^(15/2) + a^12*b^(15/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^15","B",0
437,1,382,0,1.295071," ","integrate((b*x^2+a)^(9/2)/x^18,x, algorithm=""giac"")","\frac{32 \, {\left(12155 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{26} b^{\frac{17}{2}} + 65637 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{24} a b^{\frac{17}{2}} + 233376 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{22} a^{2} b^{\frac{17}{2}} + 466752 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} a^{3} b^{\frac{17}{2}} + 692835 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a^{4} b^{\frac{17}{2}} + 668525 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{5} b^{\frac{17}{2}} + 486200 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{6} b^{\frac{17}{2}} + 221000 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{7} b^{\frac{17}{2}} + 71825 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{8} b^{\frac{17}{2}} + 9775 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{9} b^{\frac{17}{2}} + 680 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{10} b^{\frac{17}{2}} - 136 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{11} b^{\frac{17}{2}} + 17 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{12} b^{\frac{17}{2}} - a^{13} b^{\frac{17}{2}}\right)}}{12155 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{17}}"," ",0,"32/12155*(12155*(sqrt(b)*x - sqrt(b*x^2 + a))^26*b^(17/2) + 65637*(sqrt(b)*x - sqrt(b*x^2 + a))^24*a*b^(17/2) + 233376*(sqrt(b)*x - sqrt(b*x^2 + a))^22*a^2*b^(17/2) + 466752*(sqrt(b)*x - sqrt(b*x^2 + a))^20*a^3*b^(17/2) + 692835*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a^4*b^(17/2) + 668525*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^5*b^(17/2) + 486200*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^6*b^(17/2) + 221000*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^7*b^(17/2) + 71825*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^8*b^(17/2) + 9775*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^9*b^(17/2) + 680*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^10*b^(17/2) - 136*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^11*b^(17/2) + 17*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^12*b^(17/2) - a^13*b^(17/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^17","B",0
438,1,408,0,1.169596," ","integrate((b*x^2+a)^(9/2)/x^20,x, algorithm=""giac"")","\frac{256 \, {\left(92378 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{28} b^{\frac{19}{2}} + 554268 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{26} a b^{\frac{19}{2}} + 1939938 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{24} a^{2} b^{\frac{19}{2}} + 4018443 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{22} a^{3} b^{\frac{19}{2}} + 5866003 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} a^{4} b^{\frac{19}{2}} + 5773625 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a^{5} b^{\frac{19}{2}} + 4094025 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{6} b^{\frac{19}{2}} + 1889550 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{7} b^{\frac{19}{2}} + 581400 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{8} b^{\frac{19}{2}} + 80750 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{9} b^{\frac{19}{2}} + 3876 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{10} b^{\frac{19}{2}} - 969 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{11} b^{\frac{19}{2}} + 171 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{12} b^{\frac{19}{2}} - 19 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{13} b^{\frac{19}{2}} + a^{14} b^{\frac{19}{2}}\right)}}{230945 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{19}}"," ",0,"256/230945*(92378*(sqrt(b)*x - sqrt(b*x^2 + a))^28*b^(19/2) + 554268*(sqrt(b)*x - sqrt(b*x^2 + a))^26*a*b^(19/2) + 1939938*(sqrt(b)*x - sqrt(b*x^2 + a))^24*a^2*b^(19/2) + 4018443*(sqrt(b)*x - sqrt(b*x^2 + a))^22*a^3*b^(19/2) + 5866003*(sqrt(b)*x - sqrt(b*x^2 + a))^20*a^4*b^(19/2) + 5773625*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a^5*b^(19/2) + 4094025*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^6*b^(19/2) + 1889550*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^7*b^(19/2) + 581400*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^8*b^(19/2) + 80750*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^9*b^(19/2) + 3876*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^10*b^(19/2) - 969*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^11*b^(19/2) + 171*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^12*b^(19/2) - 19*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^13*b^(19/2) + a^14*b^(19/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^19","B",0
439,1,436,0,1.245896," ","integrate((b*x^2+a)^(9/2)/x^22,x, algorithm=""giac"")","\frac{512 \, {\left(646646 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{30} b^{\frac{21}{2}} + 4157010 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{28} a b^{\frac{21}{2}} + 14549535 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{26} a^{2} b^{\frac{21}{2}} + 30715685 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{24} a^{3} b^{\frac{21}{2}} + 44618574 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{22} a^{4} b^{\frac{21}{2}} + 44265858 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} a^{5} b^{\frac{21}{2}} + 31009615 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a^{6} b^{\frac{21}{2}} + 14346045 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{7} b^{\frac{21}{2}} + 4273290 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{8} b^{\frac{21}{2}} + 592382 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{9} b^{\frac{21}{2}} + 20349 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{10} b^{\frac{21}{2}} - 5985 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{11} b^{\frac{21}{2}} + 1330 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{12} b^{\frac{21}{2}} - 210 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{13} b^{\frac{21}{2}} + 21 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{14} b^{\frac{21}{2}} - a^{15} b^{\frac{21}{2}}\right)}}{969969 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{21}}"," ",0,"512/969969*(646646*(sqrt(b)*x - sqrt(b*x^2 + a))^30*b^(21/2) + 4157010*(sqrt(b)*x - sqrt(b*x^2 + a))^28*a*b^(21/2) + 14549535*(sqrt(b)*x - sqrt(b*x^2 + a))^26*a^2*b^(21/2) + 30715685*(sqrt(b)*x - sqrt(b*x^2 + a))^24*a^3*b^(21/2) + 44618574*(sqrt(b)*x - sqrt(b*x^2 + a))^22*a^4*b^(21/2) + 44265858*(sqrt(b)*x - sqrt(b*x^2 + a))^20*a^5*b^(21/2) + 31009615*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a^6*b^(21/2) + 14346045*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^7*b^(21/2) + 4273290*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^8*b^(21/2) + 592382*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^9*b^(21/2) + 20349*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^10*b^(21/2) - 5985*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^11*b^(21/2) + 1330*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^12*b^(21/2) - 210*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^13*b^(21/2) + 21*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^14*b^(21/2) - a^15*b^(21/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^21","B",0
440,1,462,0,1.232795," ","integrate((b*x^2+a)^(9/2)/x^24,x, algorithm=""giac"")","\frac{2048 \, {\left(4249388 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{32} b^{\frac{23}{2}} + 28683369 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{30} a b^{\frac{23}{2}} + 100922965 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{28} a^{2} b^{\frac{23}{2}} + 215656441 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{26} a^{3} b^{\frac{23}{2}} + 313006057 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{24} a^{4} b^{\frac{23}{2}} + 311653979 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{22} a^{5} b^{\frac{23}{2}} + 216800507 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{20} a^{6} b^{\frac{23}{2}} + 100105775 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{18} a^{7} b^{\frac{23}{2}} + 29173683 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{16} a^{8} b^{\frac{23}{2}} + 4004231 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{14} a^{9} b^{\frac{23}{2}} + 100947 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{12} a^{10} b^{\frac{23}{2}} - 33649 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{10} a^{11} b^{\frac{23}{2}} + 8855 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} a^{12} b^{\frac{23}{2}} - 1771 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a^{13} b^{\frac{23}{2}} + 253 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{14} b^{\frac{23}{2}} - 23 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{15} b^{\frac{23}{2}} + a^{16} b^{\frac{23}{2}}\right)}}{7436429 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{23}}"," ",0,"2048/7436429*(4249388*(sqrt(b)*x - sqrt(b*x^2 + a))^32*b^(23/2) + 28683369*(sqrt(b)*x - sqrt(b*x^2 + a))^30*a*b^(23/2) + 100922965*(sqrt(b)*x - sqrt(b*x^2 + a))^28*a^2*b^(23/2) + 215656441*(sqrt(b)*x - sqrt(b*x^2 + a))^26*a^3*b^(23/2) + 313006057*(sqrt(b)*x - sqrt(b*x^2 + a))^24*a^4*b^(23/2) + 311653979*(sqrt(b)*x - sqrt(b*x^2 + a))^22*a^5*b^(23/2) + 216800507*(sqrt(b)*x - sqrt(b*x^2 + a))^20*a^6*b^(23/2) + 100105775*(sqrt(b)*x - sqrt(b*x^2 + a))^18*a^7*b^(23/2) + 29173683*(sqrt(b)*x - sqrt(b*x^2 + a))^16*a^8*b^(23/2) + 4004231*(sqrt(b)*x - sqrt(b*x^2 + a))^14*a^9*b^(23/2) + 100947*(sqrt(b)*x - sqrt(b*x^2 + a))^12*a^10*b^(23/2) - 33649*(sqrt(b)*x - sqrt(b*x^2 + a))^10*a^11*b^(23/2) + 8855*(sqrt(b)*x - sqrt(b*x^2 + a))^8*a^12*b^(23/2) - 1771*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a^13*b^(23/2) + 253*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^14*b^(23/2) - 23*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^15*b^(23/2) + a^16*b^(23/2))/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^23","B",0
441,1,34,0,1.031260," ","integrate(x^5*(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{448} \, {\left(4 \, x^{2} + 9\right)}^{\frac{7}{2}} - \frac{9}{160} \, {\left(4 \, x^{2} + 9\right)}^{\frac{5}{2}} + \frac{27}{64} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/448*(4*x^2 + 9)^(7/2) - 9/160*(4*x^2 + 9)^(5/2) + 27/64*(4*x^2 + 9)^(3/2)","A",0
442,1,43,0,1.171884," ","integrate(x^4*(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{768} \, {\left(8 \, {\left(16 \, x^{2} + 9\right)} x^{2} - 243\right)} \sqrt{4 \, x^{2} + 9} x - \frac{729}{512} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/768*(8*(16*x^2 + 9)*x^2 - 243)*sqrt(4*x^2 + 9)*x - 729/512*log(-2*x + sqrt(4*x^2 + 9))","A",0
443,1,23,0,1.014059," ","integrate(x^3*(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{80} \, {\left(4 \, x^{2} + 9\right)}^{\frac{5}{2}} - \frac{3}{16} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/80*(4*x^2 + 9)^(5/2) - 3/16*(4*x^2 + 9)^(3/2)","A",0
444,1,36,0,1.045466," ","integrate(x^2*(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{32} \, {\left(8 \, x^{2} + 9\right)} \sqrt{4 \, x^{2} + 9} x + \frac{81}{64} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/32*(8*x^2 + 9)*sqrt(4*x^2 + 9)*x + 81/64*log(-2*x + sqrt(4*x^2 + 9))","A",0
445,1,11,0,1.042179," ","integrate(x*(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/12*(4*x^2 + 9)^(3/2)","A",0
446,1,29,0,0.991640," ","integrate((4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{4 \, x^{2} + 9} x - \frac{9}{4} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/2*sqrt(4*x^2 + 9)*x - 9/4*log(-2*x + sqrt(4*x^2 + 9))","A",0
447,1,38,0,1.029050," ","integrate((4*x^2+9)^(1/2)/x,x, algorithm=""giac"")","\sqrt{4 \, x^{2} + 9} - \frac{3}{2} \, \log\left(\sqrt{4 \, x^{2} + 9} + 3\right) + \frac{3}{2} \, \log\left(\sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"sqrt(4*x^2 + 9) - 3/2*log(sqrt(4*x^2 + 9) + 3) + 3/2*log(sqrt(4*x^2 + 9) - 3)","A",0
448,1,40,0,1.147969," ","integrate((4*x^2+9)^(1/2)/x^2,x, algorithm=""giac"")","\frac{36}{{\left(2 \, x - \sqrt{4 \, x^{2} + 9}\right)}^{2} - 9} - 2 \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"36/((2*x - sqrt(4*x^2 + 9))^2 - 9) - 2*log(-2*x + sqrt(4*x^2 + 9))","A",0
449,1,43,0,1.206031," ","integrate((4*x^2+9)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{\sqrt{4 \, x^{2} + 9}}{2 \, x^{2}} - \frac{1}{3} \, \log\left(\sqrt{4 \, x^{2} + 9} + 3\right) + \frac{1}{3} \, \log\left(\sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"-1/2*sqrt(4*x^2 + 9)/x^2 - 1/3*log(sqrt(4*x^2 + 9) + 3) + 1/3*log(sqrt(4*x^2 + 9) - 3)","A",0
450,1,42,0,1.006848," ","integrate((4*x^2+9)^(1/2)/x^4,x, algorithm=""giac"")","\frac{16 \, {\left({\left(2 \, x - \sqrt{4 \, x^{2} + 9}\right)}^{4} + 27\right)}}{{\left({\left(2 \, x - \sqrt{4 \, x^{2} + 9}\right)}^{2} - 9\right)}^{3}}"," ",0,"16*((2*x - sqrt(4*x^2 + 9))^4 + 27)/((2*x - sqrt(4*x^2 + 9))^2 - 9)^3","B",0
451,1,55,0,1.051872," ","integrate((4*x^2+9)^(1/2)/x^5,x, algorithm=""giac"")","-\frac{{\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} + 9 \, \sqrt{4 \, x^{2} + 9}}{72 \, x^{4}} + \frac{1}{27} \, \log\left(\sqrt{4 \, x^{2} + 9} + 3\right) - \frac{1}{27} \, \log\left(\sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"-1/72*((4*x^2 + 9)^(3/2) + 9*sqrt(4*x^2 + 9))/x^4 + 1/27*log(sqrt(4*x^2 + 9) + 3) - 1/27*log(sqrt(4*x^2 + 9) - 3)","A",0
452,1,52,0,1.017384," ","integrate(x^5*(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{448} \, {\left(4 \, x^{2} - 9\right)}^{3} \sqrt{-4 \, x^{2} + 9} + \frac{9}{160} \, {\left(4 \, x^{2} - 9\right)}^{2} \sqrt{-4 \, x^{2} + 9} - \frac{27}{64} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/448*(4*x^2 - 9)^3*sqrt(-4*x^2 + 9) + 9/160*(4*x^2 - 9)^2*sqrt(-4*x^2 + 9) - 27/64*(-4*x^2 + 9)^(3/2)","A",0
453,1,33,0,1.076662," ","integrate(x^4*(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{768} \, {\left(8 \, {\left(16 \, x^{2} - 9\right)} x^{2} - 243\right)} \sqrt{-4 \, x^{2} + 9} x + \frac{729}{512} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"1/768*(8*(16*x^2 - 9)*x^2 - 243)*sqrt(-4*x^2 + 9)*x + 729/512*arcsin(2/3*x)","A",0
454,1,32,0,1.140374," ","integrate(x^3*(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{80} \, {\left(4 \, x^{2} - 9\right)}^{2} \sqrt{-4 \, x^{2} + 9} - \frac{3}{16} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"1/80*(4*x^2 - 9)^2*sqrt(-4*x^2 + 9) - 3/16*(-4*x^2 + 9)^(3/2)","A",0
455,1,26,0,1.088254," ","integrate(x^2*(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{32} \, {\left(8 \, x^{2} - 9\right)} \sqrt{-4 \, x^{2} + 9} x + \frac{81}{64} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"1/32*(8*x^2 - 9)*sqrt(-4*x^2 + 9)*x + 81/64*arcsin(2/3*x)","A",0
456,1,11,0,1.081176," ","integrate(x*(-4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{12} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}}"," ",0,"-1/12*(-4*x^2 + 9)^(3/2)","A",0
457,1,19,0,1.000420," ","integrate((-4*x^2+9)^(1/2),x, algorithm=""giac"")","\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
458,1,40,0,1.175619," ","integrate((-4*x^2+9)^(1/2)/x,x, algorithm=""giac"")","\sqrt{-4 \, x^{2} + 9} - \frac{3}{2} \, \log\left(\sqrt{-4 \, x^{2} + 9} + 3\right) + \frac{3}{2} \, \log\left(-\sqrt{-4 \, x^{2} + 9} + 3\right)"," ",0,"sqrt(-4*x^2 + 9) - 3/2*log(sqrt(-4*x^2 + 9) + 3) + 3/2*log(-sqrt(-4*x^2 + 9) + 3)","A",0
459,1,39,0,1.144427," ","integrate((-4*x^2+9)^(1/2)/x^2,x, algorithm=""giac"")","\frac{2 \, x}{\sqrt{-4 \, x^{2} + 9} - 3} - \frac{\sqrt{-4 \, x^{2} + 9} - 3}{2 \, x} - 2 \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"2*x/(sqrt(-4*x^2 + 9) - 3) - 1/2*(sqrt(-4*x^2 + 9) - 3)/x - 2*arcsin(2/3*x)","A",0
460,1,45,0,1.071543," ","integrate((-4*x^2+9)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{\sqrt{-4 \, x^{2} + 9}}{2 \, x^{2}} + \frac{1}{3} \, \log\left(\sqrt{-4 \, x^{2} + 9} + 3\right) - \frac{1}{3} \, \log\left(-\sqrt{-4 \, x^{2} + 9} + 3\right)"," ",0,"-1/2*sqrt(-4*x^2 + 9)/x^2 + 1/3*log(sqrt(-4*x^2 + 9) + 3) - 1/3*log(-sqrt(-4*x^2 + 9) + 3)","A",0
461,1,73,0,1.050242," ","integrate((-4*x^2+9)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{2 \, x^{3} {\left(\frac{3 \, {\left(\sqrt{-4 \, x^{2} + 9} - 3\right)}^{2}}{x^{2}} - 4\right)}}{27 \, {\left(\sqrt{-4 \, x^{2} + 9} - 3\right)}^{3}} + \frac{\sqrt{-4 \, x^{2} + 9} - 3}{18 \, x} - \frac{{\left(\sqrt{-4 \, x^{2} + 9} - 3\right)}^{3}}{216 \, x^{3}}"," ",0,"-2/27*x^3*(3*(sqrt(-4*x^2 + 9) - 3)^2/x^2 - 4)/(sqrt(-4*x^2 + 9) - 3)^3 + 1/18*(sqrt(-4*x^2 + 9) - 3)/x - 1/216*(sqrt(-4*x^2 + 9) - 3)^3/x^3","B",0
462,1,57,0,1.055487," ","integrate((-4*x^2+9)^(1/2)/x^5,x, algorithm=""giac"")","-\frac{{\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} + 9 \, \sqrt{-4 \, x^{2} + 9}}{72 \, x^{4}} + \frac{1}{27} \, \log\left(\sqrt{-4 \, x^{2} + 9} + 3\right) - \frac{1}{27} \, \log\left(-\sqrt{-4 \, x^{2} + 9} + 3\right)"," ",0,"-1/72*((-4*x^2 + 9)^(3/2) + 9*sqrt(-4*x^2 + 9))/x^4 + 1/27*log(sqrt(-4*x^2 + 9) + 3) - 1/27*log(-sqrt(-4*x^2 + 9) + 3)","A",0
463,1,34,0,0.967358," ","integrate(x^5*(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{448} \, {\left(4 \, x^{2} - 9\right)}^{\frac{7}{2}} + \frac{9}{160} \, {\left(4 \, x^{2} - 9\right)}^{\frac{5}{2}} + \frac{27}{64} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"1/448*(4*x^2 - 9)^(7/2) + 9/160*(4*x^2 - 9)^(5/2) + 27/64*(4*x^2 - 9)^(3/2)","A",0
464,1,44,0,1.185526," ","integrate(x^4*(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{768} \, {\left(8 \, {\left(16 \, x^{2} - 9\right)} x^{2} - 243\right)} \sqrt{4 \, x^{2} - 9} x + \frac{729}{512} \, \log\left({\left| -2 \, x + \sqrt{4 \, x^{2} - 9} \right|}\right)"," ",0,"1/768*(8*(16*x^2 - 9)*x^2 - 243)*sqrt(4*x^2 - 9)*x + 729/512*log(abs(-2*x + sqrt(4*x^2 - 9)))","A",0
465,1,23,0,1.065205," ","integrate(x^3*(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{80} \, {\left(4 \, x^{2} - 9\right)}^{\frac{5}{2}} + \frac{3}{16} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"1/80*(4*x^2 - 9)^(5/2) + 3/16*(4*x^2 - 9)^(3/2)","A",0
466,1,37,0,1.156014," ","integrate(x^2*(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{32} \, {\left(8 \, x^{2} - 9\right)} \sqrt{4 \, x^{2} - 9} x + \frac{81}{64} \, \log\left({\left| -2 \, x + \sqrt{4 \, x^{2} - 9} \right|}\right)"," ",0,"1/32*(8*x^2 - 9)*sqrt(4*x^2 - 9)*x + 81/64*log(abs(-2*x + sqrt(4*x^2 - 9)))","A",0
467,1,11,0,1.032688," ","integrate(x*(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}}"," ",0,"1/12*(4*x^2 - 9)^(3/2)","A",0
468,1,30,0,1.111554," ","integrate((4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{4 \, x^{2} - 9} x + \frac{9}{4} \, \log\left({\left| -2 \, x + \sqrt{4 \, x^{2} - 9} \right|}\right)"," ",0,"1/2*sqrt(4*x^2 - 9)*x + 9/4*log(abs(-2*x + sqrt(4*x^2 - 9)))","A",0
469,1,24,0,1.013338," ","integrate((4*x^2-9)^(1/2)/x,x, algorithm=""giac"")","\sqrt{4 \, x^{2} - 9} - 3 \, \arctan\left(\frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"sqrt(4*x^2 - 9) - 3*arctan(1/3*sqrt(4*x^2 - 9))","A",0
470,1,44,0,1.230710," ","integrate((4*x^2-9)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{36}{{\left(2 \, x - \sqrt{4 \, x^{2} - 9}\right)}^{2} + 9} - \log\left({\left(2 \, x - \sqrt{4 \, x^{2} - 9}\right)}^{2}\right)"," ",0,"-36/((2*x - sqrt(4*x^2 - 9))^2 + 9) - log((2*x - sqrt(4*x^2 - 9))^2)","A",0
471,1,29,0,1.071432," ","integrate((4*x^2-9)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{\sqrt{4 \, x^{2} - 9}}{2 \, x^{2}} + \frac{2}{3} \, \arctan\left(\frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"-1/2*sqrt(4*x^2 - 9)/x^2 + 2/3*arctan(1/3*sqrt(4*x^2 - 9))","A",0
472,1,42,0,1.096452," ","integrate((4*x^2-9)^(1/2)/x^4,x, algorithm=""giac"")","\frac{16 \, {\left({\left(2 \, x - \sqrt{4 \, x^{2} - 9}\right)}^{4} + 27\right)}}{{\left({\left(2 \, x - \sqrt{4 \, x^{2} - 9}\right)}^{2} + 9\right)}^{3}}"," ",0,"16*((2*x - sqrt(4*x^2 - 9))^4 + 27)/((2*x - sqrt(4*x^2 - 9))^2 + 9)^3","B",0
473,1,41,0,0.981428," ","integrate((4*x^2-9)^(1/2)/x^5,x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} - 9 \, \sqrt{4 \, x^{2} - 9}}{72 \, x^{4}} + \frac{2}{27} \, \arctan\left(\frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/72*((4*x^2 - 9)^(3/2) - 9*sqrt(4*x^2 - 9))/x^4 + 2/27*arctan(1/3*sqrt(4*x^2 - 9))","A",0
474,1,37,0,1.060364," ","integrate(x^5*(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{448} \, {\left(4 \, x^{2} + 9\right)}^{\frac{7}{2}} i - \frac{9}{160} \, {\left(4 \, x^{2} + 9\right)}^{\frac{5}{2}} i + \frac{27}{64} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} i"," ",0,"1/448*(4*x^2 + 9)^(7/2)*i - 9/160*(4*x^2 + 9)^(5/2)*i + 27/64*(4*x^2 + 9)^(3/2)*i","A",0
475,0,0,0,0.000000," ","integrate(x^4*(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \sqrt{-4 \, x^{2} - 9} x^{4}\,{d x}"," ",0,"integrate(sqrt(-4*x^2 - 9)*x^4, x)","F",0
476,1,25,0,0.977667," ","integrate(x^3*(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{80} \, {\left(4 \, x^{2} + 9\right)}^{\frac{5}{2}} i - \frac{3}{16} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} i"," ",0,"1/80*(4*x^2 + 9)^(5/2)*i - 3/16*(4*x^2 + 9)^(3/2)*i","A",0
477,0,0,0,0.000000," ","integrate(x^2*(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \sqrt{-4 \, x^{2} - 9} x^{2}\,{d x}"," ",0,"integrate(sqrt(-4*x^2 - 9)*x^2, x)","F",0
478,1,12,0,1.083064," ","integrate(x*(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} i"," ",0,"1/12*(4*x^2 + 9)^(3/2)*i","A",0
479,0,0,0,0.000000," ","integrate((-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \sqrt{-4 \, x^{2} - 9}\,{d x}"," ",0,"integrate(sqrt(-4*x^2 - 9), x)","F",0
480,1,24,0,1.170555," ","integrate(1/x*(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\sqrt{-4 \, x^{2} - 9} - 3 \, \arctan\left(\frac{1}{3} \, \sqrt{-4 \, x^{2} - 9}\right)"," ",0,"sqrt(-4*x^2 - 9) - 3*arctan(1/3*sqrt(-4*x^2 - 9))","A",0
481,0,0,0,0.000000," ","integrate((-4*x^2-9)^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{-4 \, x^{2} - 9}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(-4*x^2 - 9)/x^2, x)","F",0
482,1,29,0,1.211540," ","integrate((-4*x^2-9)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{\sqrt{-4 \, x^{2} - 9}}{2 \, x^{2}} - \frac{2}{3} \, \arctan\left(\frac{1}{3} \, \sqrt{-4 \, x^{2} - 9}\right)"," ",0,"-1/2*sqrt(-4*x^2 - 9)/x^2 - 2/3*arctan(1/3*sqrt(-4*x^2 - 9))","A",0
483,0,0,0,0.000000," ","integrate((-4*x^2-9)^(1/2)/x^4,x, algorithm=""giac"")","\int \frac{\sqrt{-4 \, x^{2} - 9}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(-4*x^2 - 9)/x^4, x)","F",0
484,1,43,0,1.111839," ","integrate((-4*x^2-9)^(1/2)/x^5,x, algorithm=""giac"")","-\frac{{\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} i + 9 \, \sqrt{-4 \, x^{2} - 9}}{72 \, x^{4}} + \frac{2}{27} \, \arctan\left(\frac{1}{3} \, \sqrt{-4 \, x^{2} - 9}\right)"," ",0,"-1/72*((4*x^2 + 9)^(3/2)*i + 9*sqrt(-4*x^2 - 9))/x^4 + 2/27*arctan(1/3*sqrt(-4*x^2 - 9))","A",0
485,1,46,0,1.145212," ","integrate(x^5/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{2} + a} a^{2}}{b^{3}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a}{15 \, b^{3}}"," ",0,"sqrt(b*x^2 + a)*a^2/b^3 + 1/15*(3*(b*x^2 + a)^(5/2) - 10*(b*x^2 + a)^(3/2)*a)/b^3","A",0
486,1,54,0,1.036870," ","integrate(x^4/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{b x^{2} + a} x {\left(\frac{2 \, x^{2}}{b} - \frac{3 \, a}{b^{2}}\right)} - \frac{3 \, a^{2} \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{8 \, b^{\frac{5}{2}}}"," ",0,"1/8*sqrt(b*x^2 + a)*x*(2*x^2/b - 3*a/b^2) - 3/8*a^2*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(5/2)","A",0
487,1,30,0,1.091726," ","integrate(x^3/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{3 \, b^{2}} - \frac{\sqrt{b x^{2} + a} a}{b^{2}}"," ",0,"1/3*(b*x^2 + a)^(3/2)/b^2 - sqrt(b*x^2 + a)*a/b^2","A",0
488,1,40,0,1.182187," ","integrate(x^2/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{2} + a} x}{2 \, b} + \frac{a \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{2 \, b^{\frac{3}{2}}}"," ",0,"1/2*sqrt(b*x^2 + a)*x/b + 1/2*a*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(3/2)","A",0
489,1,13,0,0.998128," ","integrate(x/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{2} + a}}{b}"," ",0,"sqrt(b*x^2 + a)/b","A",0
490,1,23,0,1.241527," ","integrate(1/(b*x^2+a)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{\sqrt{b}}"," ",0,"-log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/sqrt(b)","A",0
491,1,22,0,0.992954," ","integrate(1/x/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}"," ",0,"arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a)","A",0
492,1,30,0,1.155690," ","integrate(1/x^2/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b}}{{\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a}"," ",0,"2*sqrt(b)/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)","A",0
493,1,51,0,1.085688," ","integrate(1/x^3/(b*x^2+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{\sqrt{b x^{2} + a} b}{a x^{2}}}{2 \, b}"," ",0,"-1/2*(b^2*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a) + sqrt(b*x^2 + a)*b/(a*x^2))/b","A",0
494,1,55,0,1.146643," ","integrate(1/x^4/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)} b^{\frac{3}{2}}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3}}"," ",0,"4/3*(3*(sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)*b^(3/2)/((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3","A",0
495,1,75,0,1.113328," ","integrate(1/x^5/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3} - 5 \, \sqrt{b x^{2} + a} a b^{3}}{a^{2} b^{2} x^{4}}}{8 \, b}"," ",0,"1/8*(3*b^3*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^2) + (3*(b*x^2 + a)^(3/2)*b^3 - 5*sqrt(b*x^2 + a)*a*b^3)/(a^2*b^2*x^4))/b","A",0
496,1,52,0,0.984904," ","integrate(x^5/(b*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{a^{2}}{\sqrt{b x^{2} + a} b^{3}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{6} - 6 \, \sqrt{b x^{2} + a} a b^{6}}{3 \, b^{9}}"," ",0,"-a^2/(sqrt(b*x^2 + a)*b^3) + 1/3*((b*x^2 + a)^(3/2)*b^6 - 6*sqrt(b*x^2 + a)*a*b^6)/b^9","A",0
497,1,51,0,1.149571," ","integrate(x^4/(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{x {\left(\frac{x^{2}}{b} + \frac{3 \, a}{b^{2}}\right)}}{2 \, \sqrt{b x^{2} + a}} + \frac{3 \, a \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{2 \, b^{\frac{5}{2}}}"," ",0,"1/2*x*(x^2/b + 3*a/b^2)/sqrt(b*x^2 + a) + 3/2*a*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(5/2)","A",0
498,1,32,0,1.061887," ","integrate(x^3/(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{b x^{2} + a}}{b} + \frac{a}{\sqrt{b x^{2} + a} b}}{b}"," ",0,"(sqrt(b*x^2 + a)/b + a/(sqrt(b*x^2 + a)*b))/b","A",0
499,1,39,0,1.229711," ","integrate(x^2/(b*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{x}{\sqrt{b x^{2} + a} b} - \frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{b^{\frac{3}{2}}}"," ",0,"-x/(sqrt(b*x^2 + a)*b) - log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(3/2)","A",0
500,1,14,0,1.045760," ","integrate(x/(b*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{1}{\sqrt{b x^{2} + a} b}"," ",0,"-1/(sqrt(b*x^2 + a)*b)","A",0
501,1,14,0,1.116763," ","integrate(1/(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{x}{\sqrt{b x^{2} + a} a}"," ",0,"x/(sqrt(b*x^2 + a)*a)","A",0
502,1,39,0,1.116818," ","integrate(1/x/(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{1}{\sqrt{b x^{2} + a} a}"," ",0,"arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a) + 1/(sqrt(b*x^2 + a)*a)","A",0
503,1,50,0,1.149956," ","integrate(1/x^2/(b*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{b x}{\sqrt{b x^{2} + a} a^{2}} + \frac{2 \, \sqrt{b}}{{\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)} a}"," ",0,"-b*x/(sqrt(b*x^2 + a)*a^2) + 2*sqrt(b)/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)*a)","A",0
504,1,72,0,1.118774," ","integrate(1/x^3/(b*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{2 \, \sqrt{-a} a^{2}} - \frac{3 \, {\left(b x^{2} + a\right)} b - 2 \, a b}{2 \, {\left({\left(b x^{2} + a\right)}^{\frac{3}{2}} - \sqrt{b x^{2} + a} a\right)} a^{2}}"," ",0,"-3/2*b*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^2) - 1/2*(3*(b*x^2 + a)*b - 2*a*b)/(((b*x^2 + a)^(3/2) - sqrt(b*x^2 + a)*a)*a^2)","A",0
505,1,106,0,1.160178," ","integrate(1/x^4/(b*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{b^{2} x}{\sqrt{b x^{2} + a} a^{3}} - \frac{2 \, {\left(3 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} b^{\frac{3}{2}} - 12 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a b^{\frac{3}{2}} + 5 \, a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3} a^{2}}"," ",0,"b^2*x/(sqrt(b*x^2 + a)*a^3) - 2/3*(3*(sqrt(b)*x - sqrt(b*x^2 + a))^4*b^(3/2) - 12*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a*b^(3/2) + 5*a^2*b^(3/2))/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3*a^2)","A",0
506,1,65,0,1.209232," ","integrate(x^6/(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{{\left(x^{2} {\left(\frac{3 \, x^{2}}{b} + \frac{20 \, a}{b^{2}}\right)} + \frac{15 \, a^{2}}{b^{3}}\right)} x}{6 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}}} + \frac{5 \, a \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{2 \, b^{\frac{7}{2}}}"," ",0,"1/6*(x^2*(3*x^2/b + 20*a/b^2) + 15*a^2/b^3)*x/(b*x^2 + a)^(3/2) + 5/2*a*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(7/2)","A",0
507,1,44,0,1.021031," ","integrate(x^5/(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{2} + a}}{b^{3}} + \frac{6 \, {\left(b x^{2} + a\right)} a - a^{2}}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"sqrt(b*x^2 + a)/b^3 + 1/3*(6*(b*x^2 + a)*a - a^2)/((b*x^2 + a)^(3/2)*b^3)","A",0
508,1,51,0,1.051299," ","integrate(x^4/(b*x^2+a)^(5/2),x, algorithm=""giac"")","-\frac{x {\left(\frac{4 \, x^{2}}{b} + \frac{3 \, a}{b^{2}}\right)}}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}}} - \frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{b^{\frac{5}{2}}}"," ",0,"-1/3*x*(4*x^2/b + 3*a/b^2)/(b*x^2 + a)^(3/2) - log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(5/2)","A",0
509,1,24,0,1.100219," ","integrate(x^3/(b*x^2+a)^(5/2),x, algorithm=""giac"")","-\frac{3 \, b x^{2} + 2 \, a}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"-1/3*(3*b*x^2 + 2*a)/((b*x^2 + a)^(3/2)*b^2)","A",0
510,1,17,0,1.075702," ","integrate(x^2/(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{x^{3}}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a}"," ",0,"1/3*x^3/((b*x^2 + a)^(3/2)*a)","A",0
511,1,14,0,1.018097," ","integrate(x/(b*x^2+a)^(5/2),x, algorithm=""giac"")","-\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
512,1,27,0,1.037814," ","integrate(1/(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{x {\left(\frac{2 \, b x^{2}}{a^{2}} + \frac{3}{a}\right)}}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}}}"," ",0,"1/3*x*(2*b*x^2/a^2 + 3/a)/(b*x^2 + a)^(3/2)","A",0
513,1,50,0,1.145331," ","integrate(1/x/(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{3 \, b x^{2} + 4 \, a}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^2) + 1/3*(3*b*x^2 + 4*a)/((b*x^2 + a)^(3/2)*a^2)","A",0
514,1,64,0,1.203206," ","integrate(1/x^2/(b*x^2+a)^(5/2),x, algorithm=""giac"")","-\frac{x {\left(\frac{5 \, b^{2} x^{2}}{a^{3}} + \frac{6 \, b}{a^{2}}\right)}}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}}} + \frac{2 \, \sqrt{b}}{{\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)} a^{2}}"," ",0,"-1/3*x*(5*b^2*x^2/a^3 + 6*b/a^2)/(b*x^2 + a)^(3/2) + 2*sqrt(b)/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)*a^2)","A",0
515,1,73,0,1.075453," ","integrate(1/x^3/(b*x^2+a)^(5/2),x, algorithm=""giac"")","-\frac{5 \, b \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{2 \, \sqrt{-a} a^{3}} - \frac{6 \, {\left(b x^{2} + a\right)} b + a b}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{3}} - \frac{\sqrt{b x^{2} + a}}{2 \, a^{3} x^{2}}"," ",0,"-5/2*b*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^3) - 1/3*(6*(b*x^2 + a)*b + a*b)/((b*x^2 + a)^(3/2)*a^3) - 1/2*sqrt(b*x^2 + a)/(a^3*x^2)","A",0
516,1,121,0,1.261226," ","integrate(1/x^4/(b*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{x {\left(\frac{8 \, b^{3} x^{2}}{a^{4}} + \frac{9 \, b^{2}}{a^{3}}\right)}}{3 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}}} - \frac{4 \, {\left(3 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} b^{\frac{3}{2}} - 9 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a b^{\frac{3}{2}} + 4 \, a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3} a^{3}}"," ",0,"1/3*x*(8*b^3*x^2/a^4 + 9*b^2/a^3)/(b*x^2 + a)^(3/2) - 4/3*(3*(sqrt(b)*x - sqrt(b*x^2 + a))^4*b^(3/2) - 9*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a*b^(3/2) + 4*a^2*b^(3/2))/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3*a^3)","A",0
517,1,91,0,1.190562," ","integrate(x^10/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(x^{2} {\left(\frac{35 \, x^{2}}{b} + \frac{528 \, a}{b^{2}}\right)} + \frac{1218 \, a^{2}}{b^{3}}\right)} x^{2} + \frac{1050 \, a^{3}}{b^{4}}\right)} x^{2} + \frac{315 \, a^{4}}{b^{5}}\right)} x}{70 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} + \frac{9 \, a \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{2 \, b^{\frac{11}{2}}}"," ",0,"1/70*(((x^2*(35*x^2/b + 528*a/b^2) + 1218*a^2/b^3)*x^2 + 1050*a^3/b^4)*x^2 + 315*a^4/b^5)*x/(b*x^2 + a)^(7/2) + 9/2*a*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(11/2)","A",0
518,1,72,0,1.126077," ","integrate(x^9/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{2} + a}}{b^{5}} + \frac{140 \, {\left(b x^{2} + a\right)}^{3} a - 70 \, {\left(b x^{2} + a\right)}^{2} a^{2} + 28 \, {\left(b x^{2} + a\right)} a^{3} - 5 \, a^{4}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5}}"," ",0,"sqrt(b*x^2 + a)/b^5 + 1/35*(140*(b*x^2 + a)^3*a - 70*(b*x^2 + a)^2*a^2 + 28*(b*x^2 + a)*a^3 - 5*a^4)/((b*x^2 + a)^(7/2)*b^5)","A",0
519,1,78,0,1.200005," ","integrate(x^8/(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(x^{2} {\left(\frac{88 \, x^{2}}{b} + \frac{203 \, a}{b^{2}}\right)} + \frac{175 \, a^{2}}{b^{3}}\right)} x^{2} + \frac{105 \, a^{3}}{b^{4}}\right)} x}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} - \frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{b^{\frac{9}{2}}}"," ",0,"-1/105*(2*(x^2*(88*x^2/b + 203*a/b^2) + 175*a^2/b^3)*x^2 + 105*a^3/b^4)*x/(b*x^2 + a)^(7/2) - log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(9/2)","A",0
520,1,55,0,0.979588," ","integrate(x^7/(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{35 \, {\left(b x^{2} + a\right)}^{3} - 35 \, {\left(b x^{2} + a\right)}^{2} a + 21 \, {\left(b x^{2} + a\right)} a^{2} - 5 \, a^{3}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}"," ",0,"-1/35*(35*(b*x^2 + a)^3 - 35*(b*x^2 + a)^2*a + 21*(b*x^2 + a)*a^2 - 5*a^3)/((b*x^2 + a)^(7/2)*b^4)","A",0
521,1,17,0,1.223242," ","integrate(x^6/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{x^{7}}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a}"," ",0,"1/7*x^7/((b*x^2 + a)^(7/2)*a)","A",0
522,1,41,0,0.946252," ","integrate(x^5/(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{35 \, {\left(b x^{2} + a\right)}^{2} - 42 \, {\left(b x^{2} + a\right)} a + 15 \, a^{2}}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}"," ",0,"-1/105*(35*(b*x^2 + a)^2 - 42*(b*x^2 + a)*a + 15*a^2)/((b*x^2 + a)^(7/2)*b^3)","A",0
523,1,29,0,0.986454," ","integrate(x^4/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{x^{5} {\left(\frac{2 \, b x^{2}}{a^{2}} + \frac{7}{a}\right)}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}}"," ",0,"1/35*x^5*(2*b*x^2/a^2 + 7/a)/(b*x^2 + a)^(7/2)","A",0
524,1,24,0,0.826094," ","integrate(x^3/(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{7 \, b x^{2} + 2 \, a}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}}"," ",0,"-1/35*(7*b*x^2 + 2*a)/((b*x^2 + a)^(7/2)*b^2)","A",0
525,1,43,0,1.080944," ","integrate(x^2/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} {\left(\frac{2 \, b^{2} x^{2}}{a^{3}} + \frac{7 \, b}{a^{2}}\right)} + \frac{35}{a}\right)} x^{3}}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}}"," ",0,"1/105*(4*x^2*(2*b^2*x^2/a^3 + 7*b/a^2) + 35/a)*x^3/(b*x^2 + a)^(7/2)","A",0
526,1,14,0,0.969646," ","integrate(x/(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\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
527,1,55,0,1.116997," ","integrate(1/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{{\left(2 \, {\left(4 \, x^{2} {\left(\frac{2 \, b^{3} x^{2}}{a^{4}} + \frac{7 \, b^{2}}{a^{3}}\right)} + \frac{35 \, b}{a^{2}}\right)} x^{2} + \frac{35}{a}\right)} x}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}}"," ",0,"1/35*(2*(4*x^2*(2*b^3*x^2/a^4 + 7*b^2/a^3) + 35*b/a^2)*x^2 + 35/a)*x/(b*x^2 + a)^(7/2)","A",0
528,1,81,0,1.084019," ","integrate(1/x/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{4}} + \frac{105 \, {\left(b x^{2} + a\right)}^{3} + 35 \, {\left(b x^{2} + a\right)}^{2} a + 21 \, {\left(b x^{2} + a\right)} a^{2} + 15 \, a^{3}}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{4}}"," ",0,"arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^4) + 1/105*(105*(b*x^2 + a)^3 + 35*(b*x^2 + a)^2*a + 21*(b*x^2 + a)*a^2 + 15*a^3)/((b*x^2 + a)^(7/2)*a^4)","A",0
529,1,90,0,1.121766," ","integrate(1/x^2/(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{{\left({\left(x^{2} {\left(\frac{93 \, b^{4} x^{2}}{a^{5}} + \frac{308 \, b^{3}}{a^{4}}\right)} + \frac{350 \, b^{2}}{a^{3}}\right)} x^{2} + \frac{140 \, b}{a^{2}}\right)} x}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} + \frac{2 \, \sqrt{b}}{{\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)} a^{4}}"," ",0,"-1/35*((x^2*(93*b^4*x^2/a^5 + 308*b^3/a^4) + 350*b^2/a^3)*x^2 + 140*b/a^2)*x/(b*x^2 + a)^(7/2) + 2*sqrt(b)/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)*a^4)","A",0
530,1,104,0,1.130275," ","integrate(1/x^3/(b*x^2+a)^(9/2),x, algorithm=""giac"")","-\frac{9 \, b \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{2 \, \sqrt{-a} a^{5}} - \frac{\sqrt{b x^{2} + a}}{2 \, a^{5} x^{2}} - \frac{140 \, {\left(b x^{2} + a\right)}^{3} b + 35 \, {\left(b x^{2} + a\right)}^{2} a b + 14 \, {\left(b x^{2} + a\right)} a^{2} b + 5 \, a^{3} b}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{5}}"," ",0,"-9/2*b*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^5) - 1/2*sqrt(b*x^2 + a)/(a^5*x^2) - 1/35*(140*(b*x^2 + a)^3*b + 35*(b*x^2 + a)^2*a*b + 14*(b*x^2 + a)*a^2*b + 5*a^3*b)/((b*x^2 + a)^(7/2)*a^5)","A",0
531,1,147,0,1.158582," ","integrate(1/x^4/(b*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{{\left({\left(x^{2} {\left(\frac{158 \, b^{5} x^{2}}{a^{6}} + \frac{511 \, b^{4}}{a^{5}}\right)} + \frac{560 \, b^{3}}{a^{4}}\right)} x^{2} + \frac{210 \, b^{2}}{a^{3}}\right)} x}{21 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} - \frac{4 \, {\left(6 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} b^{\frac{3}{2}} - 15 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a b^{\frac{3}{2}} + 7 \, a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3} a^{5}}"," ",0,"1/21*((x^2*(158*b^5*x^2/a^6 + 511*b^4/a^5) + 560*b^3/a^4)*x^2 + 210*b^2/a^3)*x/(b*x^2 + a)^(7/2) - 4/3*(6*(sqrt(b)*x - sqrt(b*x^2 + a))^4*b^(3/2) - 15*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a*b^(3/2) + 7*a^2*b^(3/2))/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3*a^5)","A",0
532,1,34,0,1.127084," ","integrate(x^5/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{320} \, {\left(4 \, x^{2} + 9\right)}^{\frac{5}{2}} - \frac{3}{32} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} + \frac{81}{64} \, \sqrt{4 \, x^{2} + 9}"," ",0,"1/320*(4*x^2 + 9)^(5/2) - 3/32*(4*x^2 + 9)^(3/2) + 81/64*sqrt(4*x^2 + 9)","A",0
533,1,36,0,1.088240," ","integrate(x^4/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{128} \, {\left(8 \, x^{2} - 27\right)} \sqrt{4 \, x^{2} + 9} x - \frac{243}{256} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/128*(8*x^2 - 27)*sqrt(4*x^2 + 9)*x - 243/256*log(-2*x + sqrt(4*x^2 + 9))","A",0
534,1,23,0,1.133424," ","integrate(x^3/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{48} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} - \frac{9}{16} \, \sqrt{4 \, x^{2} + 9}"," ",0,"1/48*(4*x^2 + 9)^(3/2) - 9/16*sqrt(4*x^2 + 9)","A",0
535,1,29,0,1.072406," ","integrate(x^2/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{4 \, x^{2} + 9} x + \frac{9}{16} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"1/8*sqrt(4*x^2 + 9)*x + 9/16*log(-2*x + sqrt(4*x^2 + 9))","A",0
536,1,11,0,1.117554," ","integrate(x/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{4 \, x^{2} + 9}"," ",0,"1/4*sqrt(4*x^2 + 9)","A",0
537,1,16,0,1.167869," ","integrate(1/(4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"-1/2*log(-2*x + sqrt(4*x^2 + 9))","B",0
538,1,29,0,1.064014," ","integrate(1/x/(4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, \log\left(\sqrt{4 \, x^{2} + 9} + 3\right) + \frac{1}{6} \, \log\left(\sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"-1/6*log(sqrt(4*x^2 + 9) + 3) + 1/6*log(sqrt(4*x^2 + 9) - 3)","B",0
539,1,23,0,1.116712," ","integrate(1/x^2/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{4}{{\left(2 \, x - \sqrt{4 \, x^{2} + 9}\right)}^{2} - 9}"," ",0,"4/((2*x - sqrt(4*x^2 + 9))^2 - 9)","A",0
540,1,43,0,1.104576," ","integrate(1/x^3/(4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{4 \, x^{2} + 9}}{18 \, x^{2}} + \frac{1}{27} \, \log\left(\sqrt{4 \, x^{2} + 9} + 3\right) - \frac{1}{27} \, \log\left(\sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"-1/18*sqrt(4*x^2 + 9)/x^2 + 1/27*log(sqrt(4*x^2 + 9) + 3) - 1/27*log(sqrt(4*x^2 + 9) - 3)","A",0
541,1,42,0,1.219680," ","integrate(1/x^4/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{32 \, {\left({\left(2 \, x - \sqrt{4 \, x^{2} + 9}\right)}^{2} - 3\right)}}{{\left({\left(2 \, x - \sqrt{4 \, x^{2} + 9}\right)}^{2} - 9\right)}^{3}}"," ",0,"32*((2*x - sqrt(4*x^2 + 9))^2 - 3)/((2*x - sqrt(4*x^2 + 9))^2 - 9)^3","A",0
542,1,55,0,1.180302," ","integrate(1/x^5/(4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} - 15 \, \sqrt{4 \, x^{2} + 9}}{216 \, x^{4}} - \frac{1}{81} \, \log\left(\sqrt{4 \, x^{2} + 9} + 3\right) + \frac{1}{81} \, \log\left(\sqrt{4 \, x^{2} + 9} - 3\right)"," ",0,"1/216*((4*x^2 + 9)^(3/2) - 15*sqrt(4*x^2 + 9))/x^4 - 1/81*log(sqrt(4*x^2 + 9) + 3) + 1/81*log(sqrt(4*x^2 + 9) - 3)","A",0
543,1,43,0,1.240725," ","integrate(x^5/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{320} \, {\left(4 \, x^{2} - 9\right)}^{2} \sqrt{-4 \, x^{2} + 9} + \frac{3}{32} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} - \frac{81}{64} \, \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/320*(4*x^2 - 9)^2*sqrt(-4*x^2 + 9) + 3/32*(-4*x^2 + 9)^(3/2) - 81/64*sqrt(-4*x^2 + 9)","A",0
544,1,26,0,1.138212," ","integrate(x^4/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{128} \, {\left(8 \, x^{2} + 27\right)} \sqrt{-4 \, x^{2} + 9} x + \frac{243}{256} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"-1/128*(8*x^2 + 27)*sqrt(-4*x^2 + 9)*x + 243/256*arcsin(2/3*x)","A",0
545,1,23,0,0.978617," ","integrate(x^3/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{48} \, {\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} - \frac{9}{16} \, \sqrt{-4 \, x^{2} + 9}"," ",0,"1/48*(-4*x^2 + 9)^(3/2) - 9/16*sqrt(-4*x^2 + 9)","A",0
546,1,19,0,1.178395," ","integrate(x^2/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","-\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
547,1,11,0,1.127637," ","integrate(x/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{-4 \, x^{2} + 9}"," ",0,"-1/4*sqrt(-4*x^2 + 9)","A",0
548,1,6,0,1.121330," ","integrate(1/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \arcsin\left(\frac{2}{3} \, x\right)"," ",0,"1/2*arcsin(2/3*x)","A",0
549,1,31,0,0.938320," ","integrate(1/x/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, \log\left(\sqrt{-4 \, x^{2} + 9} + 3\right) + \frac{1}{6} \, \log\left(-\sqrt{-4 \, x^{2} + 9} + 3\right)"," ",0,"-1/6*log(sqrt(-4*x^2 + 9) + 3) + 1/6*log(-sqrt(-4*x^2 + 9) + 3)","B",0
550,1,33,0,1.115190," ","integrate(1/x^2/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{2 \, x}{9 \, {\left(\sqrt{-4 \, x^{2} + 9} - 3\right)}} - \frac{\sqrt{-4 \, x^{2} + 9} - 3}{18 \, x}"," ",0,"2/9*x/(sqrt(-4*x^2 + 9) - 3) - 1/18*(sqrt(-4*x^2 + 9) - 3)/x","B",0
551,1,45,0,1.205892," ","integrate(1/x^3/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-4 \, x^{2} + 9}}{18 \, x^{2}} - \frac{1}{27} \, \log\left(\sqrt{-4 \, x^{2} + 9} + 3\right) + \frac{1}{27} \, \log\left(-\sqrt{-4 \, x^{2} + 9} + 3\right)"," ",0,"-1/18*sqrt(-4*x^2 + 9)/x^2 - 1/27*log(sqrt(-4*x^2 + 9) + 3) + 1/27*log(-sqrt(-4*x^2 + 9) + 3)","A",0
552,1,73,0,1.131508," ","integrate(1/x^4/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{2 \, x^{3} {\left(\frac{9 \, {\left(\sqrt{-4 \, x^{2} + 9} - 3\right)}^{2}}{x^{2}} + 4\right)}}{243 \, {\left(\sqrt{-4 \, x^{2} + 9} - 3\right)}^{3}} - \frac{\sqrt{-4 \, x^{2} + 9} - 3}{54 \, x} - \frac{{\left(\sqrt{-4 \, x^{2} + 9} - 3\right)}^{3}}{1944 \, x^{3}}"," ",0,"2/243*x^3*(9*(sqrt(-4*x^2 + 9) - 3)^2/x^2 + 4)/(sqrt(-4*x^2 + 9) - 3)^3 - 1/54*(sqrt(-4*x^2 + 9) - 3)/x - 1/1944*(sqrt(-4*x^2 + 9) - 3)^3/x^3","B",0
553,1,57,0,0.977467," ","integrate(1/x^5/(-4*x^2+9)^(1/2),x, algorithm=""giac"")","\frac{{\left(-4 \, x^{2} + 9\right)}^{\frac{3}{2}} - 15 \, \sqrt{-4 \, x^{2} + 9}}{216 \, x^{4}} - \frac{1}{81} \, \log\left(\sqrt{-4 \, x^{2} + 9} + 3\right) + \frac{1}{81} \, \log\left(-\sqrt{-4 \, x^{2} + 9} + 3\right)"," ",0,"1/216*((-4*x^2 + 9)^(3/2) - 15*sqrt(-4*x^2 + 9))/x^4 - 1/81*log(sqrt(-4*x^2 + 9) + 3) + 1/81*log(-sqrt(-4*x^2 + 9) + 3)","A",0
554,1,34,0,1.121834," ","integrate(x^5/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{320} \, {\left(4 \, x^{2} - 9\right)}^{\frac{5}{2}} + \frac{3}{32} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} + \frac{81}{64} \, \sqrt{4 \, x^{2} - 9}"," ",0,"1/320*(4*x^2 - 9)^(5/2) + 3/32*(4*x^2 - 9)^(3/2) + 81/64*sqrt(4*x^2 - 9)","A",0
555,1,37,0,1.235694," ","integrate(x^4/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{128} \, {\left(8 \, x^{2} + 27\right)} \sqrt{4 \, x^{2} - 9} x - \frac{243}{256} \, \log\left({\left| -2 \, x + \sqrt{4 \, x^{2} - 9} \right|}\right)"," ",0,"1/128*(8*x^2 + 27)*sqrt(4*x^2 - 9)*x - 243/256*log(abs(-2*x + sqrt(4*x^2 - 9)))","A",0
556,1,23,0,0.966087," ","integrate(x^3/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{48} \, {\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} + \frac{9}{16} \, \sqrt{4 \, x^{2} - 9}"," ",0,"1/48*(4*x^2 - 9)^(3/2) + 9/16*sqrt(4*x^2 - 9)","A",0
557,1,30,0,1.182965," ","integrate(x^2/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{4 \, x^{2} - 9} x - \frac{9}{16} \, \log\left({\left| -2 \, x + \sqrt{4 \, x^{2} - 9} \right|}\right)"," ",0,"1/8*sqrt(4*x^2 - 9)*x - 9/16*log(abs(-2*x + sqrt(4*x^2 - 9)))","A",0
558,1,11,0,1.071050," ","integrate(x/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{4 \, x^{2} - 9}"," ",0,"1/4*sqrt(4*x^2 - 9)","A",0
559,1,17,0,0.984560," ","integrate(1/(4*x^2-9)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left({\left| -2 \, x + \sqrt{4 \, x^{2} - 9} \right|}\right)"," ",0,"-1/2*log(abs(-2*x + sqrt(4*x^2 - 9)))","A",0
560,1,14,0,1.062253," ","integrate(1/x/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \arctan\left(\frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/3*arctan(1/3*sqrt(4*x^2 - 9))","A",0
561,1,23,0,1.061941," ","integrate(1/x^2/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{4}{{\left(2 \, x - \sqrt{4 \, x^{2} - 9}\right)}^{2} + 9}"," ",0,"4/((2*x - sqrt(4*x^2 - 9))^2 + 9)","A",0
562,1,29,0,1.099384," ","integrate(1/x^3/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{4 \, x^{2} - 9}}{18 \, x^{2}} + \frac{2}{27} \, \arctan\left(\frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/18*sqrt(4*x^2 - 9)/x^2 + 2/27*arctan(1/3*sqrt(4*x^2 - 9))","A",0
563,1,42,0,1.132077," ","integrate(1/x^4/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{32 \, {\left({\left(2 \, x - \sqrt{4 \, x^{2} - 9}\right)}^{2} + 3\right)}}{{\left({\left(2 \, x - \sqrt{4 \, x^{2} - 9}\right)}^{2} + 9\right)}^{3}}"," ",0,"32*((2*x - sqrt(4*x^2 - 9))^2 + 3)/((2*x - sqrt(4*x^2 - 9))^2 + 9)^3","A",0
564,1,41,0,1.043346," ","integrate(1/x^5/(4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} - 9\right)}^{\frac{3}{2}} + 15 \, \sqrt{4 \, x^{2} - 9}}{216 \, x^{4}} + \frac{2}{81} \, \arctan\left(\frac{1}{3} \, \sqrt{4 \, x^{2} - 9}\right)"," ",0,"1/216*((4*x^2 - 9)^(3/2) + 15*sqrt(4*x^2 - 9))/x^4 + 2/81*arctan(1/3*sqrt(4*x^2 - 9))","A",0
565,1,36,0,0.995427," ","integrate(x^5/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","-\frac{1}{320} \, {\left(4 \, x^{2} + 9\right)}^{\frac{5}{2}} i + \frac{3}{32} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} i - \frac{81}{64} \, \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/320*(4*x^2 + 9)^(5/2)*i + 3/32*(4*x^2 + 9)^(3/2)*i - 81/64*sqrt(-4*x^2 - 9)","A",0
566,0,0,0,0.000000," ","integrate(x^4/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{-4 \, x^{2} - 9}}\,{d x}"," ",0,"integrate(x^4/sqrt(-4*x^2 - 9), x)","F",0
567,1,24,0,1.083667," ","integrate(x^3/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","-\frac{1}{48} \, {\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} i + \frac{9}{16} \, \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/48*(4*x^2 + 9)^(3/2)*i + 9/16*sqrt(-4*x^2 - 9)","A",0
568,0,0,0,0.000000," ","integrate(x^2/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{-4 \, x^{2} - 9}}\,{d x}"," ",0,"integrate(x^2/sqrt(-4*x^2 - 9), x)","F",0
569,1,11,0,1.134563," ","integrate(x/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{-4 \, x^{2} - 9}"," ",0,"-1/4*sqrt(-4*x^2 - 9)","A",0
570,0,0,0,0.000000," ","integrate(1/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-4 \, x^{2} - 9}}\,{d x}"," ",0,"integrate(1/sqrt(-4*x^2 - 9), x)","F",0
571,1,14,0,1.131964," ","integrate(1/x/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \arctan\left(\frac{1}{3} \, \sqrt{-4 \, x^{2} - 9}\right)"," ",0,"1/3*arctan(1/3*sqrt(-4*x^2 - 9))","A",0
572,0,0,0,0.000000," ","integrate(1/x^2/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-4 \, x^{2} - 9} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-4*x^2 - 9)*x^2), x)","F",0
573,1,29,0,1.073906," ","integrate(1/x^3/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{-4 \, x^{2} - 9}}{18 \, x^{2}} - \frac{2}{27} \, \arctan\left(\frac{1}{3} \, \sqrt{-4 \, x^{2} - 9}\right)"," ",0,"1/18*sqrt(-4*x^2 - 9)/x^2 - 2/27*arctan(1/3*sqrt(-4*x^2 - 9))","A",0
574,0,0,0,0.000000," ","integrate(1/x^4/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-4 \, x^{2} - 9} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(-4*x^2 - 9)*x^4), x)","F",0
575,1,43,0,1.106854," ","integrate(1/x^5/(-4*x^2-9)^(1/2),x, algorithm=""giac"")","-\frac{{\left(4 \, x^{2} + 9\right)}^{\frac{3}{2}} i - 15 \, \sqrt{-4 \, x^{2} - 9}}{216 \, x^{4}} + \frac{2}{81} \, \arctan\left(\frac{1}{3} \, \sqrt{-4 \, x^{2} - 9}\right)"," ",0,"-1/216*((4*x^2 + 9)^(3/2)*i - 15*sqrt(-4*x^2 - 9))/x^4 + 2/81*arctan(1/3*sqrt(-4*x^2 - 9))","A",0
576,1,22,0,1.144043," ","integrate(1/(b*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{\log\left(-\sqrt{b} x + \sqrt{b x^{2} + 9}\right)}{\sqrt{b}}"," ",0,"-log(-sqrt(b)*x + sqrt(b*x^2 + 9))/sqrt(b)","A",0
577,1,27,0,1.110058," ","integrate(1/(-b*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{\log\left(-\sqrt{-b} x + \sqrt{-b x^{2} + 9}\right)}{\sqrt{-b}}"," ",0,"-log(-sqrt(-b)*x + sqrt(-b*x^2 + 9))/sqrt(-b)","B",0
578,1,23,0,1.137654," ","integrate(1/(b*x^2-9)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} - 9} \right|}\right)}{\sqrt{b}}"," ",0,"-log(abs(-sqrt(b)*x + sqrt(b*x^2 - 9)))/sqrt(b)","A",0
579,1,28,0,1.203434," ","integrate(1/(-b*x^2-9)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{-b} x + \sqrt{-b x^{2} - 9} \right|}\right)}{\sqrt{-b}}"," ",0,"-log(abs(-sqrt(-b)*x + sqrt(-b*x^2 - 9)))/sqrt(-b)","A",0
580,1,22,0,1.119470," ","integrate(1/(b*x^2+pi)^(1/2),x, algorithm=""giac"")","-\frac{\log\left(-\sqrt{b} x + \sqrt{\pi + b x^{2}}\right)}{\sqrt{b}}"," ",0,"-log(-sqrt(b)*x + sqrt(pi + b*x^2))/sqrt(b)","A",0
581,1,28,0,1.053952," ","integrate(1/(-b*x^2+pi)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{-b} x + \sqrt{\pi - b x^{2}} \right|}\right)}{\sqrt{-b}}"," ",0,"-log(abs(-sqrt(-b)*x + sqrt(pi - b*x^2)))/sqrt(-b)","B",0
582,1,25,0,1.142405," ","integrate(1/(b*x^2-pi)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{b} x + \sqrt{-\pi + b x^{2}} \right|}\right)}{\sqrt{b}}"," ",0,"-log(abs(-sqrt(b)*x + sqrt(-pi + b*x^2)))/sqrt(b)","A",0
583,1,30,0,1.158588," ","integrate(1/(-b*x^2-pi)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{-b} x + \sqrt{-\pi - b x^{2}} \right|}\right)}{\sqrt{-b}}"," ",0,"-log(abs(-sqrt(-b)*x + sqrt(-pi - b*x^2)))/sqrt(-b)","A",0
584,1,23,0,1.084151," ","integrate(1/(b*x^2+a)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{\sqrt{b}}"," ",0,"-log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/sqrt(b)","A",0
585,1,28,0,1.145709," ","integrate(1/(-b*x^2+a)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{-b} x + \sqrt{-b x^{2} + a} \right|}\right)}{\sqrt{-b}}"," ",0,"-log(abs(-sqrt(-b)*x + sqrt(-b*x^2 + a)))/sqrt(-b)","A",0
586,1,25,0,1.052616," ","integrate(1/(b*x^2-a)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} - a} \right|}\right)}{\sqrt{b}}"," ",0,"-log(abs(-sqrt(b)*x + sqrt(b*x^2 - a)))/sqrt(b)","A",0
587,1,30,0,1.274208," ","integrate(1/(-b*x^2-a)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{-b} x + \sqrt{-b x^{2} - a} \right|}\right)}{\sqrt{-b}}"," ",0,"-log(abs(-sqrt(-b)*x + sqrt(-b*x^2 - a)))/sqrt(-b)","A",0
588,1,9,0,1.073953," ","integrate(1/(a^2-x^2)^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{x}{a}\right) \mathrm{sgn}\left(a\right)"," ",0,"arcsin(x/a)*sgn(a)","A",0
589,0,0,0,0.000000," ","integrate((c*x)^(7/2)*(b*x^2+a)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
661,0,0,0,0.000000," ","integrate(x^(1+m)*(a*(2+m)+b*(3+m)*x^2)/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b {\left(m + 3\right)} x^{2} + a {\left(m + 2\right)}\right)} x^{m + 1}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate((b*(m + 3)*x^2 + a*(m + 2))*x^(m + 1)/sqrt(b*x^2 + a), x)","F",0
662,0,0,0,0.000000," ","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=""giac"")","\int \frac{b {\left(m + 3\right)} x^{m + 3}}{\sqrt{b x^{2} + a}} + \frac{a {\left(m + 2\right)} x^{m + 1}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(b*(m + 3)*x^(m + 3)/sqrt(b*x^2 + a) + a*(m + 2)*x^(m + 1)/sqrt(b*x^2 + a), x)","F",0
663,0,0,0,0.000000," ","integrate(x^(-1+m)*(a*m+b*(-1+m)*x^2)/(b*x^2+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b {\left(m - 1\right)} x^{2} + a m\right)} x^{m - 1}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*(m - 1)*x^2 + a*m)*x^(m - 1)/(b*x^2 + a)^(3/2), x)","F",0
664,0,0,0,0.000000," ","integrate(-b*x^(1+m)/(b*x^2+a)^(3/2)+m*x^(-1+m)/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{m x^{m - 1}}{\sqrt{b x^{2} + a}} - \frac{b x^{m + 1}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(m*x^(m - 1)/sqrt(b*x^2 + a) - b*x^(m + 1)/(b*x^2 + a)^(3/2), x)","F",0
665,1,57,0,0.921979," ","integrate(x^7*(b*x^2+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(140 \, {\left(b x^{2} + a\right)}^{\frac{13}{3}} - 546 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} a + 780 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a^{2} - 455 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{3}\right)}}{3640 \, b^{4}}"," ",0,"3/3640*(140*(b*x^2 + a)^(13/3) - 546*(b*x^2 + a)^(10/3)*a + 780*(b*x^2 + a)^(7/3)*a^2 - 455*(b*x^2 + a)^(4/3)*a^3)/b^4","A",0
666,1,43,0,1.028031," ","integrate(x^5*(b*x^2+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(14 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} - 40 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a + 35 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{2}\right)}}{280 \, b^{3}}"," ",0,"3/280*(14*(b*x^2 + a)^(10/3) - 40*(b*x^2 + a)^(7/3)*a + 35*(b*x^2 + a)^(4/3)*a^2)/b^3","A",0
667,1,29,0,1.203950," ","integrate(x^3*(b*x^2+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(4 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a\right)}}{56 \, b^{2}}"," ",0,"3/56*(4*(b*x^2 + a)^(7/3) - 7*(b*x^2 + a)^(4/3)*a)/b^2","A",0
668,1,14,0,1.119188," ","integrate(x*(b*x^2+a)^(1/3),x, algorithm=""giac"")","\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
669,1,98,0,2.406145," ","integrate((b*x^2+a)^(1/3)/x,x, algorithm=""giac"")","-\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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\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(abs((b*x^2 + a)^(1/3) - a^(1/3))) + 3/2*(b*x^2 + a)^(1/3)","A",0
670,1,115,0,2.482136," ","integrate((b*x^2+a)^(1/3)/x^3,x, algorithm=""giac"")","-\frac{\frac{2 \, \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)}{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)}{a^{\frac{2}{3}}} - \frac{2 \, b^{2} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{2}{3}}} + \frac{6 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b}{x^{2}}}{12 \, b}"," ",0,"-1/12*(2*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) + b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) - 2*b^2*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(2/3) + 6*(b*x^2 + a)^(1/3)*b/x^2)/b","A",0
671,1,140,0,2.368943," ","integrate((b*x^2+a)^(1/3)/x^5,x, algorithm=""giac"")","\frac{\frac{2 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{5}{3}}} + \frac{b^{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)}{a^{\frac{5}{3}}} - \frac{2 \, b^{3} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{5}{3}}} - \frac{3 \, {\left({\left(b x^{2} + a\right)}^{\frac{4}{3}} b^{3} + 2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a b^{3}\right)}}{a b^{2} x^{4}}}{36 \, b}"," ",0,"1/36*(2*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) + b^3*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 2*b^3*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(5/3) - 3*((b*x^2 + a)^(4/3)*b^3 + 2*(b*x^2 + a)^(1/3)*a*b^3)/(a*b^2*x^4))/b","A",0
672,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(1/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
677,1,57,0,0.982447," ","integrate(x^7*(b*x^2+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(220 \, {\left(b x^{2} + a\right)}^{\frac{14}{3}} - 840 \, {\left(b x^{2} + a\right)}^{\frac{11}{3}} a + 1155 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} a^{2} - 616 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a^{3}\right)}}{6160 \, b^{4}}"," ",0,"3/6160*(220*(b*x^2 + a)^(14/3) - 840*(b*x^2 + a)^(11/3)*a + 1155*(b*x^2 + a)^(8/3)*a^2 - 616*(b*x^2 + a)^(5/3)*a^3)/b^4","A",0
678,1,43,0,0.966244," ","integrate(x^5*(b*x^2+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(20 \, {\left(b x^{2} + a\right)}^{\frac{11}{3}} - 55 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} a + 44 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a^{2}\right)}}{440 \, b^{3}}"," ",0,"3/440*(20*(b*x^2 + a)^(11/3) - 55*(b*x^2 + a)^(8/3)*a + 44*(b*x^2 + a)^(5/3)*a^2)/b^3","A",0
679,1,29,0,1.083785," ","integrate(x^3*(b*x^2+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(5 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} - 8 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a\right)}}{80 \, b^{2}}"," ",0,"3/80*(5*(b*x^2 + a)^(8/3) - 8*(b*x^2 + a)^(5/3)*a)/b^2","A",0
680,1,14,0,1.055741," ","integrate(x*(b*x^2+a)^(2/3),x, algorithm=""giac"")","\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
681,1,98,0,2.357831," ","integrate((b*x^2+a)^(2/3)/x,x, algorithm=""giac"")","\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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\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(abs((b*x^2 + a)^(1/3) - a^(1/3))) + 3/4*(b*x^2 + a)^(2/3)","A",0
682,1,116,0,2.365737," ","integrate((b*x^2+a)^(2/3)/x^3,x, algorithm=""giac"")","\frac{\frac{2 \, \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)}{a^{\frac{1}{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)}{a^{\frac{1}{3}}} + \frac{2 \, b^{2} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{1}{3}}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} b}{x^{2}}}{6 \, b}"," ",0,"1/6*(2*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + 2*b^2*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(1/3) - 3*(b*x^2 + a)^(2/3)*b/x^2)/b","A",0
683,1,141,0,2.551264," ","integrate((b*x^2+a)^(2/3)/x^5,x, algorithm=""giac"")","-\frac{\frac{2 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{4}{3}}} - \frac{b^{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)}{a^{\frac{4}{3}}} + \frac{2 \, b^{3} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{4}{3}}} + \frac{3 \, {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} b^{3} + {\left(b x^{2} + a\right)}^{\frac{2}{3}} a b^{3}\right)}}{a b^{2} x^{4}}}{36 \, b}"," ",0,"-1/36*(2*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - b^3*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) + 2*b^3*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(4/3) + 3*(2*(b*x^2 + a)^(5/3)*b^3 + (b*x^2 + a)^(2/3)*a*b^3)/(a*b^2*x^4))/b","A",0
684,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(2/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
689,1,57,0,0.648025," ","integrate(x^7*(b*x^2+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(455 \, {\left(b x^{2} + a\right)}^{\frac{16}{3}} - 1680 \, {\left(b x^{2} + a\right)}^{\frac{13}{3}} a + 2184 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} a^{2} - 1040 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a^{3}\right)}}{14560 \, b^{4}}"," ",0,"3/14560*(455*(b*x^2 + a)^(16/3) - 1680*(b*x^2 + a)^(13/3)*a + 2184*(b*x^2 + a)^(10/3)*a^2 - 1040*(b*x^2 + a)^(7/3)*a^3)/b^4","A",0
690,1,43,0,0.646249," ","integrate(x^5*(b*x^2+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(35 \, {\left(b x^{2} + a\right)}^{\frac{13}{3}} - 91 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} a + 65 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a^{2}\right)}}{910 \, b^{3}}"," ",0,"3/910*(35*(b*x^2 + a)^(13/3) - 91*(b*x^2 + a)^(10/3)*a + 65*(b*x^2 + a)^(7/3)*a^2)/b^3","A",0
691,1,29,0,0.694417," ","integrate(x^3*(b*x^2+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(7 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} - 10 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a\right)}}{140 \, b^{2}}"," ",0,"3/140*(7*(b*x^2 + a)^(10/3) - 10*(b*x^2 + a)^(7/3)*a)/b^2","A",0
692,1,14,0,0.626348," ","integrate(x*(b*x^2+a)^(4/3),x, algorithm=""giac"")","\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
693,1,110,0,1.463778," ","integrate((b*x^2+a)^(4/3)/x,x, algorithm=""giac"")","-\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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\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(abs((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
694,1,131,0,1.423026," ","integrate((b*x^2+a)^(4/3)/x^3,x, algorithm=""giac"")","-\frac{4 \, \sqrt{3} a^{\frac{1}{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) + 2 \, a^{\frac{1}{3}} 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) - 4 \, a^{\frac{1}{3}} b^{2} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right) - 9 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b^{2} + \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a b}{x^{2}}}{6 \, b}"," ",0,"-1/6*(4*sqrt(3)*a^(1/3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3)) + 2*a^(1/3)*b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3)) - 4*a^(1/3)*b^2*log(abs((b*x^2 + a)^(1/3) - a^(1/3))) - 9*(b*x^2 + a)^(1/3)*b^2 + 3*(b*x^2 + a)^(1/3)*a*b/x^2)/b","A",0
695,1,139,0,1.155253," ","integrate((b*x^2+a)^(4/3)/x^5,x, algorithm=""giac"")","-\frac{\frac{4 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{2}{3}}} + \frac{2 \, b^{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)}{a^{\frac{2}{3}}} - \frac{4 \, b^{3} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{2}{3}}} + \frac{3 \, {\left(7 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} b^{3} - 4 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a b^{3}\right)}}{b^{2} x^{4}}}{36 \, b}"," ",0,"-1/36*(4*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) + 2*b^3*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) - 4*b^3*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(2/3) + 3*(7*(b*x^2 + a)^(4/3)*b^3 - 4*(b*x^2 + a)^(1/3)*a*b^3)/(b^2*x^4))/b","A",0
696,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^(4/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
701,1,9,0,0.560505," ","integrate(x*(x^2-1)^(7/3),x, algorithm=""giac"")","\frac{3}{20} \, {\left(x^{2} - 1\right)}^{\frac{10}{3}}"," ",0,"3/20*(x^2 - 1)^(10/3)","A",0
702,1,61,0,0.584825," ","integrate(x^7/(b*x^2+a)^(1/3),x, algorithm=""giac"")","-\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{3}}{4 \, b^{4}} + \frac{3 \, {\left(40 \, {\left(b x^{2} + a\right)}^{\frac{11}{3}} - 165 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} a + 264 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a^{2}\right)}}{880 \, b^{4}}"," ",0,"-3/4*(b*x^2 + a)^(2/3)*a^3/b^4 + 3/880*(40*(b*x^2 + a)^(11/3) - 165*(b*x^2 + a)^(8/3)*a + 264*(b*x^2 + a)^(5/3)*a^2)/b^4","A",0
703,1,47,0,0.572670," ","integrate(x^5/(b*x^2+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{2}}{4 \, b^{3}} + \frac{3 \, {\left(5 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} - 16 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a\right)}}{80 \, b^{3}}"," ",0,"3/4*(b*x^2 + a)^(2/3)*a^2/b^3 + 3/80*(5*(b*x^2 + a)^(8/3) - 16*(b*x^2 + a)^(5/3)*a)/b^3","A",0
704,1,30,0,0.573164," ","integrate(x^3/(b*x^2+a)^(1/3),x, algorithm=""giac"")","\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
705,1,14,0,0.572090," ","integrate(x/(b*x^2+a)^(1/3),x, algorithm=""giac"")","\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
706,1,87,0,1.078726," ","integrate(1/x/(b*x^2+a)^(1/3),x, algorithm=""giac"")","\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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\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(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(1/3)","A",0
707,1,119,0,1.137358," ","integrate(1/x^3/(b*x^2+a)^(1/3),x, algorithm=""giac"")","-\frac{\frac{2 \, \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)}{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)}{a^{\frac{4}{3}}} + \frac{2 \, b^{2} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{4}{3}}} + \frac{6 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} b}{a x^{2}}}{12 \, b}"," ",0,"-1/12*(2*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) - b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) + 2*b^2*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(4/3) + 6*(b*x^2 + a)^(2/3)*b/(a*x^2))/b","A",0
708,1,142,0,1.133033," ","integrate(1/x^5/(b*x^2+a)^(1/3),x, algorithm=""giac"")","\frac{\frac{4 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{7}{3}}} - \frac{2 \, b^{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)}{a^{\frac{7}{3}}} + \frac{4 \, b^{3} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{7}{3}}} + \frac{3 \, {\left(4 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} b^{3} - 7 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a b^{3}\right)}}{a^{2} b^{2} x^{4}}}{36 \, b}"," ",0,"1/36*(4*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(7/3) - 2*b^3*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) + 4*b^3*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(7/3) + 3*(4*(b*x^2 + a)^(5/3)*b^3 - 7*(b*x^2 + a)^(2/3)*a*b^3)/(a^2*b^2*x^4))/b","A",0
709,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(1/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
714,1,61,0,0.575290," ","integrate(x^7/(b*x^2+a)^(2/3),x, algorithm=""giac"")","-\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{3}}{2 \, b^{4}} + \frac{3 \, {\left(14 \, {\left(b x^{2} + a\right)}^{\frac{10}{3}} - 60 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} a + 105 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a^{2}\right)}}{280 \, b^{4}}"," ",0,"-3/2*(b*x^2 + a)^(1/3)*a^3/b^4 + 3/280*(14*(b*x^2 + a)^(10/3) - 60*(b*x^2 + a)^(7/3)*a + 105*(b*x^2 + a)^(4/3)*a^2)/b^4","A",0
715,1,47,0,0.573408," ","integrate(x^5/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{2}}{2 \, b^{3}} + \frac{3 \, {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} a\right)}}{28 \, b^{3}}"," ",0,"3/2*(b*x^2 + a)^(1/3)*a^2/b^3 + 3/28*(2*(b*x^2 + a)^(7/3) - 7*(b*x^2 + a)^(4/3)*a)/b^3","A",0
716,1,30,0,0.585543," ","integrate(x^3/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\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
717,1,14,0,0.568401," ","integrate(x/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\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
718,1,87,0,1.126395," ","integrate(1/x/(b*x^2+a)^(2/3),x, algorithm=""giac"")","-\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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\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(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(2/3)","A",0
719,1,118,0,1.107036," ","integrate(1/x^3/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\frac{\frac{2 \, \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)}{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)}{a^{\frac{5}{3}}} - \frac{2 \, b^{2} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{5}{3}}} - \frac{3 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b}{a x^{2}}}{6 \, b}"," ",0,"1/6*(2*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) + b^2*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 2*b^2*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(5/3) - 3*(b*x^2 + a)^(1/3)*b/(a*x^2))/b","A",0
720,1,142,0,1.131948," ","integrate(1/x^5/(b*x^2+a)^(2/3),x, algorithm=""giac"")","-\frac{\frac{10 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{8}{3}}} + \frac{5 \, b^{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)}{a^{\frac{8}{3}}} - \frac{10 \, b^{3} \log\left({\left| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{8}{3}}} - \frac{3 \, {\left(5 \, {\left(b x^{2} + a\right)}^{\frac{4}{3}} b^{3} - 8 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a b^{3}\right)}}{a^{2} b^{2} x^{4}}}{36 \, b}"," ",0,"-1/36*(10*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x^2 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(8/3) + 5*b^3*log((b*x^2 + a)^(2/3) + (b*x^2 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(8/3) - 10*b^3*log(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(8/3) - 3*(5*(b*x^2 + a)^(4/3)*b^3 - 8*(b*x^2 + a)^(1/3)*a*b^3)/(a^2*b^2*x^4))/b","A",0
721,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
726,1,70,0,0.586792," ","integrate(x^7/(b*x^2+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, a^{3}}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b^{4}} + \frac{3 \, {\left(5 \, {\left(b x^{2} + a\right)}^{\frac{8}{3}} b^{28} - 24 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} a b^{28} + 60 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a^{2} b^{28}\right)}}{80 \, b^{32}}"," ",0,"3/2*a^3/((b*x^2 + a)^(1/3)*b^4) + 3/80*(5*(b*x^2 + a)^(8/3)*b^28 - 24*(b*x^2 + a)^(5/3)*a*b^28 + 60*(b*x^2 + a)^(2/3)*a^2*b^28)/b^32","A",0
727,1,52,0,0.583710," ","integrate(x^5/(b*x^2+a)^(4/3),x, algorithm=""giac"")","-\frac{3 \, a^{2}}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} b^{3}} + \frac{3 \, {\left({\left(b x^{2} + a\right)}^{\frac{5}{3}} b^{12} - 5 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a b^{12}\right)}}{10 \, b^{15}}"," ",0,"-3/2*a^2/((b*x^2 + a)^(1/3)*b^3) + 3/10*((b*x^2 + a)^(5/3)*b^12 - 5*(b*x^2 + a)^(2/3)*a*b^12)/b^15","A",0
728,1,34,0,0.573367," ","integrate(x^3/(b*x^2+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{{\left(b x^{2} + a\right)}^{\frac{2}{3}}}{b} + \frac{2 \, a}{{\left(b x^{2} + a\right)}^{\frac{1}{3}} b}\right)}}{4 \, b}"," ",0,"3/4*((b*x^2 + a)^(2/3)/b + 2*a/((b*x^2 + a)^(1/3)*b))/b","A",0
729,1,14,0,0.579572," ","integrate(x/(b*x^2+a)^(4/3),x, algorithm=""giac"")","-\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
730,1,101,0,1.102702," ","integrate(1/x/(b*x^2+a)^(4/3),x, algorithm=""giac"")","\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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\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(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(4/3) + 3/2/((b*x^2 + a)^(1/3)*a)","A",0
731,1,134,0,1.113389," ","integrate(1/x^3/(b*x^2+a)^(4/3),x, algorithm=""giac"")","-\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{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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\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}} - {\left(b x^{2} + a\right)}^{\frac{1}{3}} a\right)} a^{2}}"," ",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) + 1/3*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(abs((b*x^2 + 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) - (b*x^2 + a)^(1/3)*a)*a^2)","A",0
732,1,154,0,1.102539," ","integrate(1/x^5/(b*x^2+a)^(4/3),x, algorithm=""giac"")","\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{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| {\left(b x^{2} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{10}{3}}} + \frac{3 \, b^{2}}{2 \, {\left(b x^{2} + a\right)}^{\frac{1}{3}} a^{3}} + \frac{10 \, {\left(b x^{2} + a\right)}^{\frac{5}{3}} b^{2} - 13 \, {\left(b x^{2} + a\right)}^{\frac{2}{3}} a b^{2}}{12 \, a^{3} b^{2} x^{4}}"," ",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) - 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(abs((b*x^2 + a)^(1/3) - a^(1/3)))/a^(10/3) + 3/2*b^2/((b*x^2 + a)^(1/3)*a^3) + 1/12*(10*(b*x^2 + a)^(5/3)*b^2 - 13*(b*x^2 + a)^(2/3)*a*b^2)/(a^3*b^2*x^4)","A",0
733,0,0,0,0.000000," ","integrate(x^4/(b*x^2+a)^(4/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
742,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(11/3),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{11}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(11/3), x)","F",0
743,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(17/3),x, algorithm=""giac"")","\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=""giac"")","\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
745,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/3)/(c*x)^(29/3),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{3}}}{\left(c x\right)^{\frac{29}{3}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/3)/(c*x)^(29/3), x)","F",0
746,0,0,0,0.000000," ","integrate((c*x)^(10/3)*(b*x^2+a)^(1/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
775,0,0,0,0.000000," ","integrate(1/(c*x)^(5/3)/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(5/3)), x)","F",0
776,0,0,0,0.000000," ","integrate(1/(c*x)^(11/3)/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\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=""giac"")","\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
778,0,0,0,0.000000," ","integrate(1/(c*x)^(23/3)/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{2} + a\right)}^{\frac{2}{3}} \left(c x\right)^{\frac{23}{3}}}\,{d x}"," ",0,"integrate(1/((b*x^2 + a)^(2/3)*(c*x)^(23/3)), x)","F",0
779,0,0,0,0.000000," ","integrate((c*x)^(10/3)/(b*x^2+a)^(2/3),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
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829,0,0,0,0.000000," ","integrate(x^6/(b*x^2+a)^(3/4),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
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838,0,0,0,0.000000," ","integrate(x^2/(-b*x^2+a)^(3/4),x, algorithm=""giac"")","\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
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840,0,0,0,0.000000," ","integrate(1/x^2/(-b*x^2+a)^(3/4),x, algorithm=""giac"")","\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
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854,0,0,0,0.000000," ","integrate(1/x^2/(-b*x^2+a)^(5/4),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
920,0,0,0,0.000000," ","integrate((c*x)^(3/2)*(b*x^2+a)^(1/4),x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)*(c*x)^(3/2), x)","F",0
921,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/(c*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{\sqrt{c x}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)/sqrt(c*x), x)","F",0
922,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/(c*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{\left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)/(c*x)^(5/2), x)","F",0
923,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/(c*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{\left(c x\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)/(c*x)^(9/2), x)","F",0
924,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/4)/(c*x)^(13/2),x, algorithm=""giac"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{1}{4}}}{\left(c x\right)^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)/(c*x)^(13/2), x)","F",0
925,0,0,0,0.000000," ","integrate((c*x)^(5/2)*(b*x^2+a)^(1/4),x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)}^{\frac{1}{4}} \left(c x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(1/4)*(c*x)^(5/2), x)","F",0
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987,0,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(b*x^2+a)^(5/4),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
1039,1,410,0,0.585190," ","integrate(x^7*(b*x^2+a)^p,x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{4} {\left(b x^{2} + a\right)}^{p} p^{3} - 3 \, {\left(b x^{2} + a\right)}^{3} {\left(b x^{2} + a\right)}^{p} a p^{3} + 3 \, {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} a^{2} p^{3} - {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a^{3} p^{3} + 6 \, {\left(b x^{2} + a\right)}^{4} {\left(b x^{2} + a\right)}^{p} p^{2} - 21 \, {\left(b x^{2} + a\right)}^{3} {\left(b x^{2} + a\right)}^{p} a p^{2} + 24 \, {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} a^{2} p^{2} - 9 \, {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a^{3} p^{2} + 11 \, {\left(b x^{2} + a\right)}^{4} {\left(b x^{2} + a\right)}^{p} p - 42 \, {\left(b x^{2} + a\right)}^{3} {\left(b x^{2} + a\right)}^{p} a p + 57 \, {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} a^{2} p - 26 \, {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a^{3} p + 6 \, {\left(b x^{2} + a\right)}^{4} {\left(b x^{2} + a\right)}^{p} - 24 \, {\left(b x^{2} + a\right)}^{3} {\left(b x^{2} + a\right)}^{p} a + 36 \, {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} a^{2} - 24 \, {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a^{3}}{2 \, {\left(b^{3} p^{4} + 10 \, b^{3} p^{3} + 35 \, b^{3} p^{2} + 50 \, b^{3} p + 24 \, b^{3}\right)} b}"," ",0,"1/2*((b*x^2 + a)^4*(b*x^2 + a)^p*p^3 - 3*(b*x^2 + a)^3*(b*x^2 + a)^p*a*p^3 + 3*(b*x^2 + a)^2*(b*x^2 + a)^p*a^2*p^3 - (b*x^2 + a)*(b*x^2 + a)^p*a^3*p^3 + 6*(b*x^2 + a)^4*(b*x^2 + a)^p*p^2 - 21*(b*x^2 + a)^3*(b*x^2 + a)^p*a*p^2 + 24*(b*x^2 + a)^2*(b*x^2 + a)^p*a^2*p^2 - 9*(b*x^2 + a)*(b*x^2 + a)^p*a^3*p^2 + 11*(b*x^2 + a)^4*(b*x^2 + a)^p*p - 42*(b*x^2 + a)^3*(b*x^2 + a)^p*a*p + 57*(b*x^2 + a)^2*(b*x^2 + a)^p*a^2*p - 26*(b*x^2 + a)*(b*x^2 + a)^p*a^3*p + 6*(b*x^2 + a)^4*(b*x^2 + a)^p - 24*(b*x^2 + a)^3*(b*x^2 + a)^p*a + 36*(b*x^2 + a)^2*(b*x^2 + a)^p*a^2 - 24*(b*x^2 + a)*(b*x^2 + a)^p*a^3)/((b^3*p^4 + 10*b^3*p^3 + 35*b^3*p^2 + 50*b^3*p + 24*b^3)*b)","B",0
1040,1,231,0,0.584519," ","integrate(x^5*(b*x^2+a)^p,x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{3} {\left(b x^{2} + a\right)}^{p} p^{2} - 2 \, {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} a p^{2} + {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a^{2} p^{2} + 3 \, {\left(b x^{2} + a\right)}^{3} {\left(b x^{2} + a\right)}^{p} p - 8 \, {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} a p + 5 \, {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a^{2} p + 2 \, {\left(b x^{2} + a\right)}^{3} {\left(b x^{2} + a\right)}^{p} - 6 \, {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} a + 6 \, {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a^{2}}{2 \, {\left(b^{2} p^{3} + 6 \, b^{2} p^{2} + 11 \, b^{2} p + 6 \, b^{2}\right)} b}"," ",0,"1/2*((b*x^2 + a)^3*(b*x^2 + a)^p*p^2 - 2*(b*x^2 + a)^2*(b*x^2 + a)^p*a*p^2 + (b*x^2 + a)*(b*x^2 + a)^p*a^2*p^2 + 3*(b*x^2 + a)^3*(b*x^2 + a)^p*p - 8*(b*x^2 + a)^2*(b*x^2 + a)^p*a*p + 5*(b*x^2 + a)*(b*x^2 + a)^p*a^2*p + 2*(b*x^2 + a)^3*(b*x^2 + a)^p - 6*(b*x^2 + a)^2*(b*x^2 + a)^p*a + 6*(b*x^2 + a)*(b*x^2 + a)^p*a^2)/((b^2*p^3 + 6*b^2*p^2 + 11*b^2*p + 6*b^2)*b)","B",0
1041,1,94,0,0.578984," ","integrate(x^3*(b*x^2+a)^p,x, algorithm=""giac"")","\frac{{\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} p - {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a p + {\left(b x^{2} + a\right)}^{2} {\left(b x^{2} + a\right)}^{p} - 2 \, {\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{p} a}{2 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2}}"," ",0,"1/2*((b*x^2 + a)^2*(b*x^2 + a)^p*p - (b*x^2 + a)*(b*x^2 + a)^p*a*p + (b*x^2 + a)^2*(b*x^2 + a)^p - 2*(b*x^2 + a)*(b*x^2 + a)^p*a)/((p^2 + 3*p + 2)*b^2)","B",0
1042,1,21,0,0.570920," ","integrate(x*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
1061,0,0,0,0.000000," ","integrate(x^(-7-2*p)*(b*x^2+a)^p,x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 7}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p - 7), x)","F",0
1062,0,0,0,0.000000," ","integrate(x^(-6-2*p)*(b*x^2+a)^p,x, algorithm=""giac"")","\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
1063,0,0,0,0.000000," ","integrate(x^(-5-2*p)*(b*x^2+a)^p,x, algorithm=""giac"")","\int {\left(b x^{2} + a\right)}^{p} x^{-2 \, p - 5}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^(-2*p - 5), x)","F",0
1064,0,0,0,0.000000," ","integrate(x^(-4-2*p)*(b*x^2+a)^p,x, algorithm=""giac"")","\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
1065,0,0,0,0.000000," ","integrate(x^(-3-2*p)*(b*x^2+a)^p,x, algorithm=""giac"")","\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
1066,0,0,0,0.000000," ","integrate(x^(-2-2*p)*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
